Properties

Label 273.2.bh.a.131.14
Level $273$
Weight $2$
Character 273.131
Analytic conductor $2.180$
Analytic rank $0$
Dimension $64$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.bh (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(32\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 131.14
Character \(\chi\) \(=\) 273.131
Dual form 273.2.bh.a.248.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.636389 - 0.367419i) q^{2} +(1.70069 - 0.328105i) q^{3} +(-0.730006 - 1.26441i) q^{4} +(1.03100 - 1.78574i) q^{5} +(-1.20285 - 0.416064i) q^{6} +(-0.617429 - 2.57270i) q^{7} +2.54255i q^{8} +(2.78469 - 1.11601i) q^{9} +O(q^{10})\) \(q+(-0.636389 - 0.367419i) q^{2} +(1.70069 - 0.328105i) q^{3} +(-0.730006 - 1.26441i) q^{4} +(1.03100 - 1.78574i) q^{5} +(-1.20285 - 0.416064i) q^{6} +(-0.617429 - 2.57270i) q^{7} +2.54255i q^{8} +(2.78469 - 1.11601i) q^{9} +(-1.31223 + 0.757615i) q^{10} +(-4.03218 + 2.32798i) q^{11} +(-1.65637 - 1.91085i) q^{12} +1.00000i q^{13} +(-0.552334 + 1.86409i) q^{14} +(1.16750 - 3.37526i) q^{15} +(-0.525831 + 0.910766i) q^{16} +(-2.37277 - 4.10975i) q^{17} +(-2.18219 - 0.312934i) q^{18} +(2.18124 + 1.25934i) q^{19} -3.01053 q^{20} +(-1.89417 - 4.17278i) q^{21} +3.42138 q^{22} +(6.58248 + 3.80040i) q^{23} +(0.834223 + 4.32409i) q^{24} +(0.374097 + 0.647955i) q^{25} +(0.367419 - 0.636389i) q^{26} +(4.36973 - 2.81166i) q^{27} +(-2.80221 + 2.65877i) q^{28} -7.76916i q^{29} +(-1.98312 + 1.71902i) q^{30} +(4.49527 - 2.59534i) q^{31} +(5.07309 - 2.92895i) q^{32} +(-6.09367 + 5.28215i) q^{33} +3.48720i q^{34} +(-5.23073 - 1.54988i) q^{35} +(-3.44394 - 2.70630i) q^{36} +(-2.73320 + 4.73405i) q^{37} +(-0.925409 - 1.60286i) q^{38} +(0.328105 + 1.70069i) q^{39} +(4.54032 + 2.62136i) q^{40} -3.99239 q^{41} +(-0.327732 + 3.35147i) q^{42} +8.41855 q^{43} +(5.88704 + 3.39888i) q^{44} +(0.878108 - 6.12333i) q^{45} +(-2.79268 - 4.83706i) q^{46} +(1.09516 - 1.89686i) q^{47} +(-0.595449 + 1.72146i) q^{48} +(-6.23756 + 3.17692i) q^{49} -0.549801i q^{50} +(-5.38377 - 6.21090i) q^{51} +(1.26441 - 0.730006i) q^{52} +(-0.754260 + 0.435472i) q^{53} +(-3.81391 + 0.183783i) q^{54} +9.60055i q^{55} +(6.54122 - 1.56984i) q^{56} +(4.12280 + 1.42607i) q^{57} +(-2.85454 + 4.94420i) q^{58} +(0.620058 + 1.07397i) q^{59} +(-5.11998 + 0.987770i) q^{60} +(9.38648 + 5.41929i) q^{61} -3.81431 q^{62} +(-4.59051 - 6.47512i) q^{63} -2.20129 q^{64} +(1.78574 + 1.03100i) q^{65} +(5.81871 - 1.12257i) q^{66} +(-2.06791 - 3.58172i) q^{67} +(-3.46427 + 6.00029i) q^{68} +(12.4417 + 4.30356i) q^{69} +(2.75932 + 2.90819i) q^{70} +15.1751i q^{71} +(2.83751 + 7.08022i) q^{72} +(-6.04087 + 3.48770i) q^{73} +(3.47876 - 2.00846i) q^{74} +(0.848820 + 0.979227i) q^{75} -3.67729i q^{76} +(8.47878 + 8.93623i) q^{77} +(0.416064 - 1.20285i) q^{78} +(-3.36228 + 5.82364i) q^{79} +(1.08426 + 1.87799i) q^{80} +(6.50905 - 6.21549i) q^{81} +(2.54071 + 1.46688i) q^{82} +0.428315 q^{83} +(-3.89334 + 5.44116i) q^{84} -9.78524 q^{85} +(-5.35747 - 3.09314i) q^{86} +(-2.54910 - 13.2129i) q^{87} +(-5.91901 - 10.2520i) q^{88} +(-1.97328 + 3.41782i) q^{89} +(-2.80865 + 3.57418i) q^{90} +(2.57270 - 0.617429i) q^{91} -11.0973i q^{92} +(6.79351 - 5.88879i) q^{93} +(-1.39389 + 0.804762i) q^{94} +(4.49769 - 2.59674i) q^{95} +(7.66675 - 6.64574i) q^{96} +1.05407i q^{97} +(5.13677 + 0.270045i) q^{98} +(-8.63034 + 10.9827i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64q + 32q^{4} - 4q^{7} - 4q^{9} + O(q^{10}) \) \( 64q + 32q^{4} - 4q^{7} - 4q^{9} - 12q^{10} - 30q^{12} + 12q^{15} - 16q^{16} - 10q^{18} + 10q^{21} - 8q^{22} + 36q^{24} - 36q^{25} - 20q^{28} - 22q^{30} + 12q^{31} + 36q^{36} - 36q^{40} + 48q^{42} - 32q^{43} - 6q^{45} - 48q^{46} + 36q^{49} - 16q^{51} - 54q^{54} - 8q^{57} - 12q^{58} + 16q^{60} - 72q^{61} - 86q^{63} - 48q^{64} - 78q^{66} + 32q^{67} - 4q^{70} + 62q^{72} + 48q^{73} + 48q^{75} - 20q^{78} - 64q^{79} + 28q^{81} + 72q^{82} - 18q^{84} + 64q^{85} + 60q^{87} + 44q^{88} + 8q^{91} - 38q^{93} + 72q^{94} + 66q^{96} - 68q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.636389 0.367419i −0.449995 0.259805i 0.257833 0.966189i \(-0.416991\pi\)
−0.707828 + 0.706385i \(0.750325\pi\)
\(3\) 1.70069 0.328105i 0.981894 0.189431i
\(4\) −0.730006 1.26441i −0.365003 0.632204i
\(5\) 1.03100 1.78574i 0.461075 0.798606i −0.537940 0.842983i \(-0.680797\pi\)
0.999015 + 0.0443777i \(0.0141305\pi\)
\(6\) −1.20285 0.416064i −0.491062 0.169857i
\(7\) −0.617429 2.57270i −0.233366 0.972389i
\(8\) 2.54255i 0.898927i
\(9\) 2.78469 1.11601i 0.928231 0.372003i
\(10\) −1.31223 + 0.757615i −0.414963 + 0.239579i
\(11\) −4.03218 + 2.32798i −1.21575 + 0.701913i −0.964006 0.265882i \(-0.914337\pi\)
−0.251743 + 0.967794i \(0.581004\pi\)
\(12\) −1.65637 1.91085i −0.478154 0.551614i
\(13\) 1.00000i 0.277350i
\(14\) −0.552334 + 1.86409i −0.147618 + 0.498199i
\(15\) 1.16750 3.37526i 0.301446 0.871488i
\(16\) −0.525831 + 0.910766i −0.131458 + 0.227692i
\(17\) −2.37277 4.10975i −0.575480 0.996761i −0.995989 0.0894726i \(-0.971482\pi\)
0.420509 0.907288i \(-0.361851\pi\)
\(18\) −2.18219 0.312934i −0.514347 0.0737593i
\(19\) 2.18124 + 1.25934i 0.500410 + 0.288912i 0.728883 0.684639i \(-0.240040\pi\)
−0.228473 + 0.973550i \(0.573373\pi\)
\(20\) −3.01053 −0.673176
\(21\) −1.89417 4.17278i −0.413342 0.910576i
\(22\) 3.42138 0.729440
\(23\) 6.58248 + 3.80040i 1.37254 + 0.792438i 0.991248 0.132016i \(-0.0421449\pi\)
0.381295 + 0.924453i \(0.375478\pi\)
\(24\) 0.834223 + 4.32409i 0.170285 + 0.882651i
\(25\) 0.374097 + 0.647955i 0.0748194 + 0.129591i
\(26\) 0.367419 0.636389i 0.0720568 0.124806i
\(27\) 4.36973 2.81166i 0.840956 0.541104i
\(28\) −2.80221 + 2.65877i −0.529569 + 0.502460i
\(29\) 7.76916i 1.44270i −0.692573 0.721348i \(-0.743523\pi\)
0.692573 0.721348i \(-0.256477\pi\)
\(30\) −1.98312 + 1.71902i −0.362066 + 0.313848i
\(31\) 4.49527 2.59534i 0.807374 0.466137i −0.0386694 0.999252i \(-0.512312\pi\)
0.846043 + 0.533115i \(0.178979\pi\)
\(32\) 5.07309 2.92895i 0.896804 0.517770i
\(33\) −6.09367 + 5.28215i −1.06077 + 0.919505i
\(34\) 3.48720i 0.598050i
\(35\) −5.23073 1.54988i −0.884155 0.261977i
\(36\) −3.44394 2.70630i −0.573989 0.451049i
\(37\) −2.73320 + 4.73405i −0.449336 + 0.778272i −0.998343 0.0575453i \(-0.981673\pi\)
0.549007 + 0.835818i \(0.315006\pi\)
\(38\) −0.925409 1.60286i −0.150121 0.260017i
\(39\) 0.328105 + 1.70069i 0.0525388 + 0.272328i
\(40\) 4.54032 + 2.62136i 0.717888 + 0.414473i
\(41\) −3.99239 −0.623506 −0.311753 0.950163i \(-0.600916\pi\)
−0.311753 + 0.950163i \(0.600916\pi\)
\(42\) −0.327732 + 3.35147i −0.0505701 + 0.517142i
\(43\) 8.41855 1.28382 0.641908 0.766781i \(-0.278143\pi\)
0.641908 + 0.766781i \(0.278143\pi\)
\(44\) 5.88704 + 3.39888i 0.887504 + 0.512401i
\(45\) 0.878108 6.12333i 0.130901 0.912812i
\(46\) −2.79268 4.83706i −0.411758 0.713186i
\(47\) 1.09516 1.89686i 0.159745 0.276686i −0.775032 0.631922i \(-0.782266\pi\)
0.934777 + 0.355236i \(0.115600\pi\)
\(48\) −0.595449 + 1.72146i −0.0859457 + 0.248471i
\(49\) −6.23756 + 3.17692i −0.891080 + 0.453845i
\(50\) 0.549801i 0.0777536i
\(51\) −5.38377 6.21090i −0.753878 0.869699i
\(52\) 1.26441 0.730006i 0.175342 0.101234i
\(53\) −0.754260 + 0.435472i −0.103606 + 0.0598167i −0.550907 0.834566i \(-0.685718\pi\)
0.447302 + 0.894383i \(0.352385\pi\)
\(54\) −3.81391 + 0.183783i −0.519007 + 0.0250097i
\(55\) 9.60055i 1.29454i
\(56\) 6.54122 1.56984i 0.874107 0.209779i
\(57\) 4.12280 + 1.42607i 0.546078 + 0.188887i
\(58\) −2.85454 + 4.94420i −0.374819 + 0.649206i
\(59\) 0.620058 + 1.07397i 0.0807247 + 0.139819i 0.903561 0.428459i \(-0.140943\pi\)
−0.822837 + 0.568278i \(0.807610\pi\)
\(60\) −5.11998 + 0.987770i −0.660987 + 0.127521i
\(61\) 9.38648 + 5.41929i 1.20182 + 0.693869i 0.960959 0.276692i \(-0.0892380\pi\)
0.240857 + 0.970561i \(0.422571\pi\)
\(62\) −3.81431 −0.484418
\(63\) −4.59051 6.47512i −0.578350 0.815789i
\(64\) −2.20129 −0.275161
\(65\) 1.78574 + 1.03100i 0.221493 + 0.127879i
\(66\) 5.81871 1.12257i 0.716233 0.138179i
\(67\) −2.06791 3.58172i −0.252635 0.437576i 0.711616 0.702569i \(-0.247964\pi\)
−0.964250 + 0.264993i \(0.914630\pi\)
\(68\) −3.46427 + 6.00029i −0.420104 + 0.727642i
\(69\) 12.4417 + 4.30356i 1.49780 + 0.518087i
\(70\) 2.75932 + 2.90819i 0.329802 + 0.347596i
\(71\) 15.1751i 1.80095i 0.434906 + 0.900476i \(0.356782\pi\)
−0.434906 + 0.900476i \(0.643218\pi\)
\(72\) 2.83751 + 7.08022i 0.334404 + 0.834412i
\(73\) −6.04087 + 3.48770i −0.707031 + 0.408204i −0.809961 0.586484i \(-0.800512\pi\)
0.102930 + 0.994689i \(0.467178\pi\)
\(74\) 3.47876 2.00846i 0.404397 0.233479i
\(75\) 0.848820 + 0.979227i 0.0980133 + 0.113071i
\(76\) 3.67729i 0.421815i
\(77\) 8.47878 + 8.93623i 0.966247 + 1.01838i
\(78\) 0.416064 1.20285i 0.0471100 0.136196i
\(79\) −3.36228 + 5.82364i −0.378286 + 0.655211i −0.990813 0.135239i \(-0.956820\pi\)
0.612527 + 0.790450i \(0.290153\pi\)
\(80\) 1.08426 + 1.87799i 0.121224 + 0.209966i
\(81\) 6.50905 6.21549i 0.723227 0.690610i
\(82\) 2.54071 + 1.46688i 0.280575 + 0.161990i
\(83\) 0.428315 0.0470137 0.0235068 0.999724i \(-0.492517\pi\)
0.0235068 + 0.999724i \(0.492517\pi\)
\(84\) −3.89334 + 5.44116i −0.424799 + 0.593680i
\(85\) −9.78524 −1.06136
\(86\) −5.35747 3.09314i −0.577711 0.333541i
\(87\) −2.54910 13.2129i −0.273292 1.41657i
\(88\) −5.91901 10.2520i −0.630968 1.09287i
\(89\) −1.97328 + 3.41782i −0.209167 + 0.362288i −0.951452 0.307796i \(-0.900409\pi\)
0.742285 + 0.670084i \(0.233742\pi\)
\(90\) −2.80865 + 3.57418i −0.296057 + 0.376752i
\(91\) 2.57270 0.617429i 0.269692 0.0647241i
\(92\) 11.0973i 1.15697i
\(93\) 6.79351 5.88879i 0.704454 0.610639i
\(94\) −1.39389 + 0.804762i −0.143769 + 0.0830049i
\(95\) 4.49769 2.59674i 0.461453 0.266420i
\(96\) 7.66675 6.64574i 0.782485 0.678278i
\(97\) 1.05407i 0.107024i 0.998567 + 0.0535121i \(0.0170416\pi\)
−0.998567 + 0.0535121i \(0.982958\pi\)
\(98\) 5.13677 + 0.270045i 0.518893 + 0.0272787i
\(99\) −8.63034 + 10.9827i −0.867382 + 1.10380i
\(100\) 0.546186 0.946022i 0.0546186 0.0946022i
\(101\) 1.57162 + 2.72213i 0.156382 + 0.270862i 0.933562 0.358417i \(-0.116683\pi\)
−0.777179 + 0.629279i \(0.783350\pi\)
\(102\) 1.14417 + 5.93064i 0.113289 + 0.587221i
\(103\) 11.9982 + 6.92714i 1.18221 + 0.682552i 0.956526 0.291648i \(-0.0942036\pi\)
0.225688 + 0.974200i \(0.427537\pi\)
\(104\) −2.54255 −0.249318
\(105\) −9.40437 0.919631i −0.917773 0.0897468i
\(106\) 0.640003 0.0621626
\(107\) −4.60916 2.66110i −0.445584 0.257258i 0.260379 0.965506i \(-0.416152\pi\)
−0.705963 + 0.708248i \(0.749486\pi\)
\(108\) −6.74502 3.47260i −0.649040 0.334151i
\(109\) −4.52220 7.83269i −0.433148 0.750235i 0.563994 0.825779i \(-0.309264\pi\)
−0.997142 + 0.0755437i \(0.975931\pi\)
\(110\) 3.52743 6.10968i 0.336327 0.582535i
\(111\) −3.09507 + 8.94792i −0.293771 + 0.849299i
\(112\) 2.66779 + 0.790472i 0.252083 + 0.0746926i
\(113\) 1.79902i 0.169238i −0.996413 0.0846188i \(-0.973033\pi\)
0.996413 0.0846188i \(-0.0269672\pi\)
\(114\) −2.09974 2.42233i −0.196659 0.226872i
\(115\) 13.5730 7.83639i 1.26569 0.730747i
\(116\) −9.82338 + 5.67153i −0.912078 + 0.526589i
\(117\) 1.11601 + 2.78469i 0.103175 + 0.257445i
\(118\) 0.911285i 0.0838906i
\(119\) −9.10814 + 8.64189i −0.834942 + 0.792201i
\(120\) 8.58176 + 2.96841i 0.783404 + 0.270978i
\(121\) 5.33899 9.24740i 0.485363 0.840673i
\(122\) −3.98230 6.89755i −0.360541 0.624475i
\(123\) −6.78982 + 1.30992i −0.612217 + 0.118112i
\(124\) −6.56314 3.78923i −0.589388 0.340283i
\(125\) 11.8527 1.06014
\(126\) 0.542262 + 5.80734i 0.0483086 + 0.517359i
\(127\) −21.7797 −1.93263 −0.966316 0.257359i \(-0.917148\pi\)
−0.966316 + 0.257359i \(0.917148\pi\)
\(128\) −8.74531 5.04911i −0.772983 0.446282i
\(129\) 14.3173 2.76217i 1.26057 0.243195i
\(130\) −0.757615 1.31223i −0.0664472 0.115090i
\(131\) 9.46302 16.3904i 0.826788 1.43204i −0.0737576 0.997276i \(-0.523499\pi\)
0.900545 0.434762i \(-0.143168\pi\)
\(132\) 11.1272 + 3.84888i 0.968500 + 0.335002i
\(133\) 1.89314 6.38921i 0.164156 0.554015i
\(134\) 3.03915i 0.262543i
\(135\) −0.515704 10.7020i −0.0443848 0.921082i
\(136\) 10.4492 6.03287i 0.896015 0.517315i
\(137\) −15.9230 + 9.19313i −1.36039 + 0.785422i −0.989676 0.143325i \(-0.954221\pi\)
−0.370715 + 0.928747i \(0.620887\pi\)
\(138\) −6.33654 7.31005i −0.539402 0.622273i
\(139\) 4.10030i 0.347783i −0.984765 0.173892i \(-0.944366\pi\)
0.984765 0.173892i \(-0.0556342\pi\)
\(140\) 1.85879 + 7.74520i 0.157096 + 0.654589i
\(141\) 1.24015 3.58531i 0.104439 0.301937i
\(142\) 5.57562 9.65725i 0.467895 0.810419i
\(143\) −2.32798 4.03218i −0.194676 0.337188i
\(144\) −0.447855 + 3.12304i −0.0373213 + 0.260253i
\(145\) −13.8737 8.00996i −1.15215 0.665191i
\(146\) 5.12579 0.424213
\(147\) −9.56580 + 7.44953i −0.788974 + 0.614427i
\(148\) 7.98102 0.656036
\(149\) −13.6539 7.88308i −1.11857 0.645807i −0.177535 0.984114i \(-0.556812\pi\)
−0.941036 + 0.338307i \(0.890146\pi\)
\(150\) −0.180392 0.935042i −0.0147290 0.0763458i
\(151\) −7.18429 12.4435i −0.584649 1.01264i −0.994919 0.100678i \(-0.967899\pi\)
0.410270 0.911964i \(-0.365434\pi\)
\(152\) −3.20193 + 5.54590i −0.259711 + 0.449832i
\(153\) −11.1939 8.79637i −0.904977 0.711144i
\(154\) −2.11246 8.80218i −0.170227 0.709300i
\(155\) 10.7031i 0.859697i
\(156\) 1.91085 1.65637i 0.152990 0.132616i
\(157\) −6.99731 + 4.03990i −0.558446 + 0.322419i −0.752521 0.658568i \(-0.771163\pi\)
0.194076 + 0.980987i \(0.437829\pi\)
\(158\) 4.27944 2.47073i 0.340454 0.196561i
\(159\) −1.13988 + 0.988079i −0.0903985 + 0.0783598i
\(160\) 12.0789i 0.954924i
\(161\) 5.71307 19.2812i 0.450253 1.51957i
\(162\) −6.42597 + 1.56392i −0.504872 + 0.122873i
\(163\) −3.27936 + 5.68001i −0.256859 + 0.444893i −0.965399 0.260778i \(-0.916021\pi\)
0.708540 + 0.705671i \(0.249354\pi\)
\(164\) 2.91447 + 5.04801i 0.227582 + 0.394183i
\(165\) 3.14999 + 16.3276i 0.245226 + 1.27110i
\(166\) −0.272575 0.157371i −0.0211559 0.0122144i
\(167\) 16.9314 1.31019 0.655097 0.755545i \(-0.272628\pi\)
0.655097 + 0.755545i \(0.272628\pi\)
\(168\) 10.6095 4.81602i 0.818541 0.371564i
\(169\) −1.00000 −0.0769231
\(170\) 6.22722 + 3.59529i 0.477606 + 0.275746i
\(171\) 7.47950 + 1.07259i 0.571972 + 0.0820229i
\(172\) −6.14559 10.6445i −0.468597 0.811634i
\(173\) −10.0883 + 17.4734i −0.766998 + 1.32848i 0.172185 + 0.985065i \(0.444917\pi\)
−0.939184 + 0.343415i \(0.888416\pi\)
\(174\) −3.23247 + 9.34514i −0.245053 + 0.708454i
\(175\) 1.43601 1.36250i 0.108552 0.102996i
\(176\) 4.89650i 0.369088i
\(177\) 1.40690 + 1.62305i 0.105749 + 0.121996i
\(178\) 2.51155 1.45004i 0.188248 0.108685i
\(179\) 5.57825 3.22061i 0.416938 0.240719i −0.276828 0.960919i \(-0.589283\pi\)
0.693766 + 0.720200i \(0.255950\pi\)
\(180\) −8.38341 + 3.35978i −0.624863 + 0.250423i
\(181\) 3.91701i 0.291149i 0.989347 + 0.145574i \(0.0465030\pi\)
−0.989347 + 0.145574i \(0.953497\pi\)
\(182\) −1.86409 0.552334i −0.138176 0.0409417i
\(183\) 17.7416 + 6.13678i 1.31150 + 0.453644i
\(184\) −9.66270 + 16.7363i −0.712344 + 1.23382i
\(185\) 5.63584 + 9.76156i 0.414355 + 0.717684i
\(186\) −6.48697 + 1.25150i −0.475648 + 0.0917641i
\(187\) 19.1348 + 11.0475i 1.39928 + 0.807874i
\(188\) −3.19788 −0.233229
\(189\) −9.93155 9.50601i −0.722414 0.691461i
\(190\) −3.81637 −0.276869
\(191\) 18.5943 + 10.7354i 1.34544 + 0.776788i 0.987599 0.156997i \(-0.0501812\pi\)
0.357836 + 0.933784i \(0.383515\pi\)
\(192\) −3.74370 + 0.722252i −0.270179 + 0.0521241i
\(193\) 0.891272 + 1.54373i 0.0641552 + 0.111120i 0.896319 0.443410i \(-0.146231\pi\)
−0.832164 + 0.554530i \(0.812898\pi\)
\(194\) 0.387284 0.670795i 0.0278054 0.0481603i
\(195\) 3.37526 + 1.16750i 0.241707 + 0.0836061i
\(196\) 8.57038 + 5.56765i 0.612170 + 0.397690i
\(197\) 5.88943i 0.419604i 0.977744 + 0.209802i \(0.0672820\pi\)
−0.977744 + 0.209802i \(0.932718\pi\)
\(198\) 9.52749 3.81829i 0.677090 0.271354i
\(199\) −3.58920 + 2.07223i −0.254432 + 0.146896i −0.621792 0.783183i \(-0.713595\pi\)
0.367360 + 0.930079i \(0.380262\pi\)
\(200\) −1.64746 + 0.951160i −0.116493 + 0.0672572i
\(201\) −4.69204 5.41290i −0.330951 0.381797i
\(202\) 2.30978i 0.162515i
\(203\) −19.9877 + 4.79690i −1.40286 + 0.336677i
\(204\) −3.92292 + 11.3413i −0.274660 + 0.794048i
\(205\) −4.11613 + 7.12935i −0.287483 + 0.497936i
\(206\) −5.09033 8.81671i −0.354660 0.614289i
\(207\) 22.5715 + 3.23683i 1.56883 + 0.224976i
\(208\) −0.910766 0.525831i −0.0631503 0.0364598i
\(209\) −11.7268 −0.811163
\(210\) 5.64695 + 4.04059i 0.389676 + 0.278827i
\(211\) 5.18433 0.356904 0.178452 0.983949i \(-0.442891\pi\)
0.178452 + 0.983949i \(0.442891\pi\)
\(212\) 1.10123 + 0.635795i 0.0756327 + 0.0436666i
\(213\) 4.97902 + 25.8081i 0.341157 + 1.76834i
\(214\) 1.95548 + 3.38699i 0.133674 + 0.231530i
\(215\) 8.67948 15.0333i 0.591936 1.02526i
\(216\) 7.14878 + 11.1103i 0.486413 + 0.755958i
\(217\) −9.45254 9.96253i −0.641680 0.676300i
\(218\) 6.64618i 0.450136i
\(219\) −9.12932 + 7.91353i −0.616902 + 0.534747i
\(220\) 12.1390 7.00846i 0.818412 0.472510i
\(221\) 4.10975 2.37277i 0.276452 0.159609i
\(222\) 5.25730 4.55717i 0.352847 0.305857i
\(223\) 18.7302i 1.25427i 0.778912 + 0.627134i \(0.215772\pi\)
−0.778912 + 0.627134i \(0.784228\pi\)
\(224\) −10.6676 11.2431i −0.712758 0.751213i
\(225\) 1.76487 + 1.38686i 0.117658 + 0.0924573i
\(226\) −0.660995 + 1.14488i −0.0439687 + 0.0761560i
\(227\) 3.51302 + 6.08472i 0.233167 + 0.403857i 0.958738 0.284290i \(-0.0917578\pi\)
−0.725571 + 0.688147i \(0.758424\pi\)
\(228\) −1.20654 6.25394i −0.0799050 0.414177i
\(229\) −11.3143 6.53230i −0.747668 0.431667i 0.0771824 0.997017i \(-0.475408\pi\)
−0.824851 + 0.565350i \(0.808741\pi\)
\(230\) −11.5170 −0.759405
\(231\) 17.3518 + 12.4158i 1.14166 + 0.816901i
\(232\) 19.7535 1.29688
\(233\) −3.53934 2.04344i −0.231870 0.133870i 0.379564 0.925165i \(-0.376074\pi\)
−0.611434 + 0.791295i \(0.709407\pi\)
\(234\) 0.312934 2.18219i 0.0204572 0.142654i
\(235\) −2.25820 3.91132i −0.147309 0.255146i
\(236\) 0.905293 1.56801i 0.0589296 0.102069i
\(237\) −3.80743 + 11.0074i −0.247319 + 0.715007i
\(238\) 8.97151 2.15310i 0.581537 0.139565i
\(239\) 5.55543i 0.359351i −0.983726 0.179676i \(-0.942495\pi\)
0.983726 0.179676i \(-0.0575048\pi\)
\(240\) 2.46017 + 2.83813i 0.158803 + 0.183201i
\(241\) −0.872052 + 0.503480i −0.0561738 + 0.0324320i −0.527824 0.849354i \(-0.676992\pi\)
0.471650 + 0.881786i \(0.343659\pi\)
\(242\) −6.79534 + 3.92329i −0.436821 + 0.252199i
\(243\) 9.03054 12.7063i 0.579309 0.815108i
\(244\) 15.8245i 1.01306i
\(245\) −0.757760 + 14.4140i −0.0484115 + 0.920879i
\(246\) 4.80225 + 1.66109i 0.306180 + 0.105907i
\(247\) −1.25934 + 2.18124i −0.0801297 + 0.138789i
\(248\) 6.59879 + 11.4294i 0.419023 + 0.725770i
\(249\) 0.728431 0.140532i 0.0461625 0.00890587i
\(250\) −7.54294 4.35492i −0.477057 0.275429i
\(251\) −12.6703 −0.799742 −0.399871 0.916571i \(-0.630945\pi\)
−0.399871 + 0.916571i \(0.630945\pi\)
\(252\) −4.83610 + 10.5312i −0.304646 + 0.663401i
\(253\) −35.3890 −2.22489
\(254\) 13.8603 + 8.00226i 0.869674 + 0.502107i
\(255\) −16.6417 + 3.21059i −1.04214 + 0.201055i
\(256\) 5.91156 + 10.2391i 0.369473 + 0.639945i
\(257\) 0.188757 0.326936i 0.0117743 0.0203937i −0.860078 0.510162i \(-0.829585\pi\)
0.871853 + 0.489768i \(0.162919\pi\)
\(258\) −10.1263 3.50265i −0.630434 0.218066i
\(259\) 13.8668 + 4.10877i 0.861643 + 0.255307i
\(260\) 3.01053i 0.186705i
\(261\) −8.67045 21.6347i −0.536687 1.33916i
\(262\) −12.0443 + 6.95379i −0.744100 + 0.429606i
\(263\) 1.15919 0.669257i 0.0714786 0.0412682i −0.463835 0.885922i \(-0.653527\pi\)
0.535313 + 0.844654i \(0.320194\pi\)
\(264\) −13.4301 15.4935i −0.826568 0.953556i
\(265\) 1.79588i 0.110320i
\(266\) −3.55229 + 3.37045i −0.217805 + 0.206655i
\(267\) −2.23453 + 6.46010i −0.136751 + 0.395352i
\(268\) −3.01917 + 5.22935i −0.184425 + 0.319434i
\(269\) −2.81642 4.87819i −0.171720 0.297428i 0.767301 0.641287i \(-0.221599\pi\)
−0.939021 + 0.343859i \(0.888266\pi\)
\(270\) −3.60393 + 7.00011i −0.219328 + 0.426013i
\(271\) 17.1317 + 9.89099i 1.04068 + 0.600835i 0.920025 0.391860i \(-0.128168\pi\)
0.120652 + 0.992695i \(0.461502\pi\)
\(272\) 4.99070 0.302605
\(273\) 4.17278 1.89417i 0.252548 0.114640i
\(274\) 13.5109 0.816225
\(275\) −3.01685 1.74178i −0.181923 0.105033i
\(276\) −3.64106 18.8730i −0.219166 1.13602i
\(277\) −3.57358 6.18963i −0.214716 0.371899i 0.738469 0.674288i \(-0.235549\pi\)
−0.953185 + 0.302389i \(0.902216\pi\)
\(278\) −1.50653 + 2.60939i −0.0903556 + 0.156501i
\(279\) 9.62151 12.2440i 0.576025 0.733029i
\(280\) 3.94064 13.2994i 0.235498 0.794791i
\(281\) 20.7294i 1.23661i −0.785938 0.618305i \(-0.787820\pi\)
0.785938 0.618305i \(-0.212180\pi\)
\(282\) −2.10653 + 1.82599i −0.125442 + 0.108736i
\(283\) −27.7297 + 16.0097i −1.64836 + 0.951679i −0.670632 + 0.741790i \(0.733977\pi\)
−0.977725 + 0.209889i \(0.932690\pi\)
\(284\) 19.1875 11.0779i 1.13857 0.657353i
\(285\) 6.79717 5.89196i 0.402630 0.349010i
\(286\) 3.42138i 0.202310i
\(287\) 2.46502 + 10.2712i 0.145505 + 0.606291i
\(288\) 10.8583 13.8179i 0.639830 0.814225i
\(289\) −2.76003 + 4.78052i −0.162355 + 0.281207i
\(290\) 5.88603 + 10.1949i 0.345639 + 0.598665i
\(291\) 0.345844 + 1.79264i 0.0202737 + 0.105086i
\(292\) 8.81975 + 5.09208i 0.516137 + 0.297992i
\(293\) 12.7694 0.745995 0.372997 0.927832i \(-0.378330\pi\)
0.372997 + 0.927832i \(0.378330\pi\)
\(294\) 8.82467 1.22614i 0.514665 0.0715098i
\(295\) 2.55711 0.148881
\(296\) −12.0365 6.94930i −0.699610 0.403920i
\(297\) −11.0741 + 21.5098i −0.642583 + 1.24812i
\(298\) 5.79279 + 10.0334i 0.335567 + 0.581220i
\(299\) −3.80040 + 6.58248i −0.219783 + 0.380675i
\(300\) 0.618499 1.78810i 0.0357090 0.103236i
\(301\) −5.19786 21.6584i −0.299599 1.24837i
\(302\) 10.5586i 0.607578i
\(303\) 3.56599 + 4.11384i 0.204861 + 0.236334i
\(304\) −2.29392 + 1.32440i −0.131566 + 0.0759594i
\(305\) 19.3548 11.1745i 1.10826 0.639851i
\(306\) 3.89175 + 9.71078i 0.222476 + 0.555128i
\(307\) 8.91757i 0.508953i −0.967079 0.254476i \(-0.918097\pi\)
0.967079 0.254476i \(-0.0819031\pi\)
\(308\) 5.10947 17.2441i 0.291139 0.982576i
\(309\) 22.6780 + 7.84427i 1.29011 + 0.446245i
\(310\) −3.93254 + 6.81136i −0.223353 + 0.386859i
\(311\) −9.55334 16.5469i −0.541720 0.938287i −0.998805 0.0488641i \(-0.984440\pi\)
0.457085 0.889423i \(-0.348893\pi\)
\(312\) −4.32409 + 0.834223i −0.244803 + 0.0472286i
\(313\) −10.2120 5.89590i −0.577217 0.333256i 0.182810 0.983148i \(-0.441481\pi\)
−0.760027 + 0.649892i \(0.774814\pi\)
\(314\) 5.93734 0.335064
\(315\) −16.2957 + 1.52161i −0.918156 + 0.0857332i
\(316\) 9.81795 0.552303
\(317\) −6.69962 3.86803i −0.376288 0.217250i 0.299914 0.953966i \(-0.403042\pi\)
−0.676202 + 0.736716i \(0.736375\pi\)
\(318\) 1.08845 0.209988i 0.0610371 0.0117755i
\(319\) 18.0864 + 31.3266i 1.01265 + 1.75396i
\(320\) −2.26952 + 3.93092i −0.126870 + 0.219745i
\(321\) −8.71187 3.01342i −0.486249 0.168193i
\(322\) −10.7200 + 10.1713i −0.597403 + 0.566822i
\(323\) 11.9524i 0.665052i
\(324\) −12.6106 3.69274i −0.700587 0.205152i
\(325\) −0.647955 + 0.374097i −0.0359421 + 0.0207512i
\(326\) 4.17389 2.40980i 0.231171 0.133466i
\(327\) −10.2608 11.8372i −0.567424 0.654599i
\(328\) 10.1508i 0.560487i
\(329\) −5.55624 1.64633i −0.306326 0.0907649i
\(330\) 3.99444 11.5480i 0.219887 0.635699i
\(331\) 7.76302 13.4459i 0.426694 0.739056i −0.569883 0.821726i \(-0.693011\pi\)
0.996577 + 0.0826699i \(0.0263447\pi\)
\(332\) −0.312673 0.541565i −0.0171601 0.0297223i
\(333\) −2.32789 + 16.2332i −0.127568 + 0.889571i
\(334\) −10.7750 6.22093i −0.589580 0.340394i
\(335\) −8.52800 −0.465935
\(336\) 4.79644 + 0.469033i 0.261667 + 0.0255878i
\(337\) −23.0346 −1.25478 −0.627388 0.778707i \(-0.715876\pi\)
−0.627388 + 0.778707i \(0.715876\pi\)
\(338\) 0.636389 + 0.367419i 0.0346150 + 0.0199850i
\(339\) −0.590267 3.05958i −0.0320589 0.166173i
\(340\) 7.14329 + 12.3725i 0.387399 + 0.670995i
\(341\) −12.0838 + 20.9298i −0.654375 + 1.13341i
\(342\) −4.36578 3.43070i −0.236074 0.185511i
\(343\) 12.0245 + 14.0859i 0.649262 + 0.760565i
\(344\) 21.4046i 1.15406i
\(345\) 20.5123 17.7806i 1.10435 0.957277i
\(346\) 12.8401 7.41326i 0.690290 0.398539i
\(347\) −0.673331 + 0.388748i −0.0361463 + 0.0208691i −0.517964 0.855402i \(-0.673310\pi\)
0.481818 + 0.876271i \(0.339977\pi\)
\(348\) −14.8457 + 12.8686i −0.795812 + 0.689830i
\(349\) 3.92987i 0.210361i 0.994453 + 0.105181i \(0.0335421\pi\)
−0.994453 + 0.105181i \(0.966458\pi\)
\(350\) −1.41447 + 0.339463i −0.0756068 + 0.0181451i
\(351\) 2.81166 + 4.36973i 0.150075 + 0.233239i
\(352\) −13.6371 + 23.6201i −0.726859 + 1.25896i
\(353\) 6.10732 + 10.5782i 0.325060 + 0.563020i 0.981524 0.191337i \(-0.0612822\pi\)
−0.656465 + 0.754357i \(0.727949\pi\)
\(354\) −0.298997 1.54981i −0.0158915 0.0823717i
\(355\) 27.0987 + 15.6454i 1.43825 + 0.830374i
\(356\) 5.76203 0.305387
\(357\) −12.6547 + 17.6856i −0.669756 + 0.936021i
\(358\) −4.73325 −0.250160
\(359\) 13.7332 + 7.92887i 0.724811 + 0.418470i 0.816521 0.577316i \(-0.195900\pi\)
−0.0917100 + 0.995786i \(0.529233\pi\)
\(360\) 15.5689 + 2.23263i 0.820552 + 0.117670i
\(361\) −6.32814 10.9607i −0.333060 0.576877i
\(362\) 1.43918 2.49274i 0.0756418 0.131015i
\(363\) 6.04585 17.4787i 0.317325 0.917395i
\(364\) −2.65877 2.80221i −0.139357 0.146876i
\(365\) 14.3832i 0.752851i
\(366\) −9.03578 10.4240i −0.472308 0.544870i
\(367\) −29.3459 + 16.9429i −1.53184 + 0.884410i −0.532566 + 0.846388i \(0.678772\pi\)
−0.999277 + 0.0380219i \(0.987894\pi\)
\(368\) −6.92255 + 3.99674i −0.360863 + 0.208344i
\(369\) −11.1176 + 4.45554i −0.578758 + 0.231946i
\(370\) 8.28286i 0.430605i
\(371\) 1.58604 + 1.67161i 0.0823431 + 0.0867857i
\(372\) −12.4051 4.29091i −0.643177 0.222473i
\(373\) −4.76469 + 8.25268i −0.246706 + 0.427307i −0.962610 0.270891i \(-0.912682\pi\)
0.715904 + 0.698199i \(0.246015\pi\)
\(374\) −8.11813 14.0610i −0.419779 0.727078i
\(375\) 20.1578 3.88894i 1.04094 0.200824i
\(376\) 4.82287 + 2.78449i 0.248721 + 0.143599i
\(377\) 7.76916 0.400132
\(378\) 2.82764 + 9.69856i 0.145438 + 0.498840i
\(379\) −16.1971 −0.831987 −0.415993 0.909368i \(-0.636566\pi\)
−0.415993 + 0.909368i \(0.636566\pi\)
\(380\) −6.56668 3.79127i −0.336864 0.194488i
\(381\) −37.0404 + 7.14601i −1.89764 + 0.366101i
\(382\) −7.88880 13.6638i −0.403626 0.699101i
\(383\) 4.88802 8.46629i 0.249766 0.432607i −0.713695 0.700457i \(-0.752980\pi\)
0.963461 + 0.267849i \(0.0863130\pi\)
\(384\) −16.5297 5.71759i −0.843528 0.291774i
\(385\) 24.6993 5.92766i 1.25879 0.302101i
\(386\) 1.30988i 0.0666712i
\(387\) 23.4431 9.39518i 1.19168 0.477584i
\(388\) 1.33277 0.769475i 0.0676611 0.0390642i
\(389\) 6.83358 3.94537i 0.346476 0.200038i −0.316656 0.948540i \(-0.602560\pi\)
0.663132 + 0.748502i \(0.269227\pi\)
\(390\) −1.71902 1.98312i −0.0870458 0.100419i
\(391\) 36.0698i 1.82413i
\(392\) −8.07747 15.8593i −0.407974 0.801016i
\(393\) 10.7159 30.9799i 0.540545 1.56273i
\(394\) 2.16389 3.74797i 0.109015 0.188820i
\(395\) 6.93299 + 12.0083i 0.348837 + 0.604203i
\(396\) 20.1868 + 2.89486i 1.01442 + 0.145472i
\(397\) −6.87226 3.96770i −0.344909 0.199133i 0.317532 0.948248i \(-0.397146\pi\)
−0.662441 + 0.749114i \(0.730479\pi\)
\(398\) 3.04550 0.152657
\(399\) 1.12331 11.4872i 0.0562357 0.575080i
\(400\) −0.786847 −0.0393424
\(401\) 13.2464 + 7.64780i 0.661493 + 0.381913i 0.792846 0.609423i \(-0.208599\pi\)
−0.131353 + 0.991336i \(0.541932\pi\)
\(402\) 0.997160 + 5.16866i 0.0497338 + 0.257789i
\(403\) 2.59534 + 4.49527i 0.129283 + 0.223925i
\(404\) 2.29459 3.97435i 0.114160 0.197731i
\(405\) −4.38843 18.0316i −0.218063 0.895997i
\(406\) 14.4824 + 4.29117i 0.718750 + 0.212967i
\(407\) 25.4514i 1.26158i
\(408\) 15.7915 13.6885i 0.781796 0.677682i
\(409\) 27.6073 15.9391i 1.36509 0.788136i 0.374794 0.927108i \(-0.377713\pi\)
0.990296 + 0.138972i \(0.0443799\pi\)
\(410\) 5.23892 3.02469i 0.258732 0.149379i
\(411\) −24.0637 + 20.8591i −1.18698 + 1.02890i
\(412\) 20.2274i 0.996534i
\(413\) 2.38017 2.25833i 0.117120 0.111125i
\(414\) −13.1750 10.3531i −0.647514 0.508826i
\(415\) 0.441591 0.764858i 0.0216769 0.0375454i
\(416\) 2.92895 + 5.07309i 0.143604 + 0.248729i
\(417\) −1.34533 6.97334i −0.0658811 0.341486i
\(418\) 7.46283 + 4.30867i 0.365019 + 0.210744i
\(419\) 10.4315 0.509613 0.254806 0.966992i \(-0.417988\pi\)
0.254806 + 0.966992i \(0.417988\pi\)
\(420\) 5.70246 + 12.5623i 0.278252 + 0.612977i
\(421\) 26.3649 1.28495 0.642474 0.766307i \(-0.277908\pi\)
0.642474 + 0.766307i \(0.277908\pi\)
\(422\) −3.29925 1.90482i −0.160605 0.0927254i
\(423\) 0.932754 6.50439i 0.0453521 0.316254i
\(424\) −1.10721 1.91774i −0.0537708 0.0931338i
\(425\) 1.77529 3.07489i 0.0861141 0.149154i
\(426\) 6.31381 18.2534i 0.305905 0.884379i
\(427\) 8.14671 27.4946i 0.394247 1.33056i
\(428\) 7.77048i 0.375600i
\(429\) −5.28215 6.09367i −0.255025 0.294205i
\(430\) −11.0470 + 6.37802i −0.532736 + 0.307575i
\(431\) −34.4553 + 19.8928i −1.65965 + 0.958202i −0.686780 + 0.726865i \(0.740976\pi\)
−0.972874 + 0.231336i \(0.925690\pi\)
\(432\) 0.263021 + 5.45826i 0.0126546 + 0.262611i
\(433\) 7.06996i 0.339761i 0.985465 + 0.169880i \(0.0543381\pi\)
−0.985465 + 0.169880i \(0.945662\pi\)
\(434\) 2.35507 + 9.81308i 0.113047 + 0.471043i
\(435\) −26.2229 9.07045i −1.25729 0.434895i
\(436\) −6.60247 + 11.4358i −0.316201 + 0.547676i
\(437\) 9.57196 + 16.5791i 0.457889 + 0.793087i
\(438\) 8.71738 1.68180i 0.416533 0.0803593i
\(439\) 29.5539 + 17.0630i 1.41053 + 0.814371i 0.995438 0.0954077i \(-0.0304155\pi\)
0.415094 + 0.909779i \(0.363749\pi\)
\(440\) −24.4099 −1.16370
\(441\) −13.8242 + 15.8079i −0.658297 + 0.752758i
\(442\) −3.48720 −0.165869
\(443\) −14.4159 8.32305i −0.684922 0.395440i 0.116785 0.993157i \(-0.462741\pi\)
−0.801707 + 0.597717i \(0.796075\pi\)
\(444\) 13.5732 2.61861i 0.644158 0.124274i
\(445\) 4.06889 + 7.04752i 0.192884 + 0.334084i
\(446\) 6.88183 11.9197i 0.325864 0.564414i
\(447\) −25.8075 8.92677i −1.22065 0.422222i
\(448\) 1.35914 + 5.66325i 0.0642132 + 0.267563i
\(449\) 1.73022i 0.0816542i −0.999166 0.0408271i \(-0.987001\pi\)
0.999166 0.0408271i \(-0.0129993\pi\)
\(450\) −0.613583 1.53103i −0.0289246 0.0721734i
\(451\) 16.0980 9.29420i 0.758027 0.437647i
\(452\) −2.27470 + 1.31330i −0.106993 + 0.0617723i
\(453\) −16.3010 18.8054i −0.765889 0.883556i
\(454\) 5.16300i 0.242311i
\(455\) 1.54988 5.23073i 0.0726593 0.245220i
\(456\) −3.62585 + 10.4824i −0.169796 + 0.490884i
\(457\) 7.97775 13.8179i 0.373183 0.646372i −0.616870 0.787065i \(-0.711600\pi\)
0.990053 + 0.140693i \(0.0449329\pi\)
\(458\) 4.80018 + 8.31416i 0.224298 + 0.388495i
\(459\) −21.9236 11.2871i −1.02330 0.526837i
\(460\) −19.8168 11.4412i −0.923962 0.533450i
\(461\) −25.4124 −1.18357 −0.591786 0.806095i \(-0.701577\pi\)
−0.591786 + 0.806095i \(0.701577\pi\)
\(462\) −6.48068 14.2767i −0.301508 0.664211i
\(463\) 16.6866 0.775491 0.387745 0.921767i \(-0.373254\pi\)
0.387745 + 0.921767i \(0.373254\pi\)
\(464\) 7.07589 + 4.08526i 0.328490 + 0.189654i
\(465\) −3.51175 18.2027i −0.162854 0.844132i
\(466\) 1.50160 + 2.60084i 0.0695602 + 0.120482i
\(467\) −9.86961 + 17.0947i −0.456711 + 0.791047i −0.998785 0.0492843i \(-0.984306\pi\)
0.542074 + 0.840331i \(0.317639\pi\)
\(468\) 2.70630 3.44394i 0.125099 0.159196i
\(469\) −7.93790 + 7.53155i −0.366538 + 0.347775i
\(470\) 3.31882i 0.153086i
\(471\) −10.5747 + 9.16646i −0.487258 + 0.422368i
\(472\) −2.73063 + 1.57653i −0.125687 + 0.0725656i
\(473\) −33.9451 + 19.5982i −1.56080 + 0.901127i
\(474\) 6.46733 5.60606i 0.297055 0.257495i
\(475\) 1.88446i 0.0864647i
\(476\) 17.5759 + 5.20777i 0.805589 + 0.238698i
\(477\) −1.61439 + 2.05442i −0.0739179 + 0.0940653i
\(478\) −2.04117 + 3.53541i −0.0933611 + 0.161706i
\(479\) −3.87793 6.71677i −0.177187 0.306897i 0.763729 0.645537i \(-0.223366\pi\)
−0.940916 + 0.338640i \(0.890033\pi\)
\(480\) −3.96316 20.5425i −0.180893 0.937634i
\(481\) −4.73405 2.73320i −0.215854 0.124623i
\(482\) 0.739952 0.0337039
\(483\) 3.38989 34.6659i 0.154245 1.57735i
\(484\) −15.5900 −0.708636
\(485\) 1.88228 + 1.08674i 0.0854701 + 0.0493462i
\(486\) −10.4155 + 4.76814i −0.472455 + 0.216287i
\(487\) 14.0500 + 24.3353i 0.636665 + 1.10274i 0.986160 + 0.165798i \(0.0530200\pi\)
−0.349494 + 0.936938i \(0.613647\pi\)
\(488\) −13.7788 + 23.8656i −0.623738 + 1.08035i
\(489\) −3.71353 + 10.7359i −0.167932 + 0.485495i
\(490\) 5.77822 8.89451i 0.261033 0.401813i
\(491\) 11.3088i 0.510361i 0.966893 + 0.255180i \(0.0821348\pi\)
−0.966893 + 0.255180i \(0.917865\pi\)
\(492\) 6.61288 + 7.62885i 0.298132 + 0.343935i
\(493\) −31.9293 + 18.4344i −1.43802 + 0.830243i
\(494\) 1.60286 0.925409i 0.0721159 0.0416361i
\(495\) 10.7143 + 26.7346i 0.481572 + 1.20163i
\(496\) 5.45885i 0.245110i
\(497\) 39.0409 9.36954i 1.75123 0.420281i
\(498\) −0.515200 0.178207i −0.0230867 0.00798562i
\(499\) 8.78073 15.2087i 0.393079 0.680834i −0.599775 0.800169i \(-0.704743\pi\)
0.992854 + 0.119335i \(0.0380764\pi\)
\(500\) −8.65256 14.9867i −0.386954 0.670225i
\(501\) 28.7951 5.55528i 1.28647 0.248192i
\(502\) 8.06323 + 4.65531i 0.359880 + 0.207777i
\(503\) −9.97447 −0.444739 −0.222370 0.974962i \(-0.571379\pi\)
−0.222370 + 0.974962i \(0.571379\pi\)
\(504\) 16.4633 11.6716i 0.733335 0.519894i
\(505\) 6.48134 0.288416
\(506\) 22.5212 + 13.0026i 1.00119 + 0.578036i
\(507\) −1.70069 + 0.328105i −0.0755303 + 0.0145716i
\(508\) 15.8993 + 27.5384i 0.705417 + 1.22182i
\(509\) 16.7654 29.0385i 0.743112 1.28711i −0.207960 0.978137i \(-0.566682\pi\)
0.951072 0.308970i \(-0.0999844\pi\)
\(510\) 11.7702 + 4.07129i 0.521193 + 0.180280i
\(511\) 12.7026 + 13.3879i 0.561930 + 0.592248i
\(512\) 11.5083i 0.508602i
\(513\) 13.0722 0.629921i 0.577154 0.0278117i
\(514\) −0.240245 + 0.138706i −0.0105968 + 0.00611804i
\(515\) 24.7401 14.2837i 1.09018 0.629415i
\(516\) −13.9443 16.0866i −0.613862 0.708171i
\(517\) 10.1980i 0.448508i
\(518\) −7.31505 7.70972i −0.321405 0.338745i
\(519\) −11.4239 + 33.0269i −0.501455 + 1.44972i
\(520\) −2.62136 + 4.54032i −0.114954 + 0.199106i
\(521\) −9.33352 16.1661i −0.408909 0.708251i 0.585859 0.810413i \(-0.300757\pi\)
−0.994768 + 0.102162i \(0.967424\pi\)
\(522\) −2.43124 + 16.9538i −0.106412 + 0.742047i
\(523\) 4.77202 + 2.75513i 0.208666 + 0.120473i 0.600691 0.799481i \(-0.294892\pi\)
−0.392025 + 0.919954i \(0.628225\pi\)
\(524\) −27.6323 −1.20712
\(525\) 1.99517 2.78836i 0.0870764 0.121694i
\(526\) −0.983592 −0.0428866
\(527\) −21.3324 12.3163i −0.929255 0.536506i
\(528\) −1.60657 8.32743i −0.0699168 0.362405i
\(529\) 17.3861 + 30.1135i 0.755915 + 1.30928i
\(530\) 0.659840 1.14288i 0.0286616 0.0496434i
\(531\) 2.92524 + 2.29869i 0.126944 + 0.0997549i
\(532\) −9.46057 + 2.27047i −0.410168 + 0.0984373i
\(533\) 3.99239i 0.172930i
\(534\) 3.79560 3.29012i 0.164251 0.142378i
\(535\) −9.50404 + 5.48716i −0.410896 + 0.237231i
\(536\) 9.10669 5.25775i 0.393349 0.227100i
\(537\) 8.43018 7.30751i 0.363789 0.315342i
\(538\) 4.13923i 0.178455i
\(539\) 17.7552 27.3308i 0.764770 1.17722i
\(540\) −13.1552 + 8.46459i −0.566111 + 0.364258i
\(541\) 14.8303 25.6868i 0.637604 1.10436i −0.348353 0.937364i \(-0.613259\pi\)
0.985957 0.167000i \(-0.0534079\pi\)
\(542\) −7.26828 12.5890i −0.312199 0.540745i
\(543\) 1.28519 + 6.66161i 0.0551527 + 0.285877i
\(544\) −24.0745 13.8994i −1.03219 0.595933i
\(545\) −18.6495 −0.798856
\(546\) −3.35147 0.327732i −0.143430 0.0140256i
\(547\) −24.0771 −1.02946 −0.514732 0.857351i \(-0.672109\pi\)
−0.514732 + 0.857351i \(0.672109\pi\)
\(548\) 23.2477 + 13.4221i 0.993094 + 0.573363i
\(549\) 32.1865 + 4.61566i 1.37369 + 0.196992i
\(550\) 1.27993 + 2.21690i 0.0545763 + 0.0945289i
\(551\) 9.78398 16.9464i 0.416812 0.721939i
\(552\) −10.9420 + 31.6336i −0.465723 + 1.34642i
\(553\) 17.0585 + 5.05445i 0.725399 + 0.214937i
\(554\) 5.25201i 0.223137i
\(555\) 12.7876 + 14.7522i 0.542805 + 0.626198i
\(556\) −5.18446 + 2.99325i −0.219870 + 0.126942i
\(557\) −4.56402 + 2.63504i −0.193384 + 0.111650i −0.593566 0.804786i \(-0.702280\pi\)
0.400182 + 0.916436i \(0.368947\pi\)
\(558\) −10.6217 + 4.25681i −0.449652 + 0.180205i
\(559\) 8.41855i 0.356067i
\(560\) 4.16206 3.94900i 0.175879 0.166876i
\(561\) 36.1672 + 12.5101i 1.52698 + 0.528179i
\(562\) −7.61637 + 13.1919i −0.321277 + 0.556468i
\(563\) 20.0280 + 34.6895i 0.844080 + 1.46199i 0.886418 + 0.462886i \(0.153186\pi\)
−0.0423382 + 0.999103i \(0.513481\pi\)
\(564\) −5.43861 + 1.04924i −0.229007 + 0.0441810i
\(565\) −3.21258 1.85478i −0.135154 0.0780313i
\(566\) 23.5291 0.989003
\(567\) −20.0095 12.9082i −0.840318 0.542093i
\(568\) −38.5834 −1.61892
\(569\) −34.0119 19.6368i −1.42585 0.823217i −0.429064 0.903274i \(-0.641156\pi\)
−0.996790 + 0.0800571i \(0.974490\pi\)
\(570\) −6.49046 + 1.25217i −0.271856 + 0.0524476i
\(571\) −14.4504 25.0288i −0.604730 1.04742i −0.992094 0.125496i \(-0.959948\pi\)
0.387364 0.921927i \(-0.373386\pi\)
\(572\) −3.39888 + 5.88704i −0.142114 + 0.246149i
\(573\) 35.1455 + 12.1567i 1.46822 + 0.507855i
\(574\) 2.20513 7.44218i 0.0920405 0.310631i
\(575\) 5.68687i 0.237159i
\(576\) −6.12991 + 2.45666i −0.255413 + 0.102361i
\(577\) −39.5105 + 22.8114i −1.64484 + 0.949650i −0.665765 + 0.746162i \(0.731895\pi\)
−0.979077 + 0.203489i \(0.934772\pi\)
\(578\) 3.51291 2.02818i 0.146118 0.0843611i
\(579\) 2.02228 + 2.33297i 0.0840432 + 0.0969551i
\(580\) 23.3893i 0.971188i
\(581\) −0.264454 1.10193i −0.0109714 0.0457156i
\(582\) 0.438559 1.26788i 0.0181788 0.0525555i
\(583\) 2.02754 3.51180i 0.0839722 0.145444i
\(584\) −8.86765 15.3592i −0.366946 0.635569i
\(585\) 6.12333 + 0.878108i 0.253169 + 0.0363053i
\(586\) −8.12628 4.69171i −0.335694 0.193813i
\(587\) 30.7583 1.26953 0.634765 0.772705i \(-0.281097\pi\)
0.634765 + 0.772705i \(0.281097\pi\)
\(588\) 16.4023 + 6.65687i 0.676421 + 0.274525i
\(589\) 13.0736 0.538690
\(590\) −1.62732 0.939531i −0.0669955 0.0386799i
\(591\) 1.93235 + 10.0161i 0.0794863 + 0.412007i
\(592\) −2.87441 4.97862i −0.118137 0.204620i
\(593\) 14.6499 25.3743i 0.601598 1.04200i −0.390981 0.920399i \(-0.627864\pi\)
0.992579 0.121600i \(-0.0388025\pi\)
\(594\) 14.9505 9.61975i 0.613427 0.394703i
\(595\) 6.04169 + 25.1745i 0.247685 + 1.03205i
\(596\) 23.0188i 0.942887i
\(597\) −5.42422 + 4.70185i −0.221998 + 0.192434i
\(598\) 4.83706 2.79268i 0.197802 0.114201i
\(599\) 5.79676 3.34676i 0.236849 0.136745i −0.376879 0.926263i \(-0.623003\pi\)
0.613728 + 0.789518i \(0.289669\pi\)
\(600\) −2.48973 + 2.15817i −0.101643 + 0.0881068i
\(601\) 8.33430i 0.339963i 0.985447 + 0.169982i \(0.0543708\pi\)
−0.985447 + 0.169982i \(0.945629\pi\)
\(602\) −4.64985 + 15.6929i −0.189514 + 0.639597i
\(603\) −9.75571 7.66618i −0.397283 0.312191i
\(604\) −10.4891 + 18.1677i −0.426797 + 0.739235i
\(605\) −11.0089 19.0681i −0.447577 0.775227i
\(606\) −0.757849 3.92822i −0.0307855 0.159573i
\(607\) −2.40836 1.39047i −0.0977522 0.0564372i 0.450327 0.892864i \(-0.351307\pi\)
−0.548079 + 0.836426i \(0.684641\pi\)
\(608\) 14.7541 0.598359
\(609\) −32.4190 + 14.7161i −1.31368 + 0.596327i
\(610\) −16.4229 −0.664945
\(611\) 1.89686 + 1.09516i 0.0767389 + 0.0443052i
\(612\) −2.95055 + 20.5751i −0.119269 + 0.831700i
\(613\) −15.1361 26.2166i −0.611343 1.05888i −0.991014 0.133756i \(-0.957296\pi\)
0.379671 0.925122i \(-0.376037\pi\)
\(614\) −3.27649 + 5.67504i −0.132228 + 0.229026i
\(615\) −4.66109 + 13.4753i −0.187953 + 0.543378i
\(616\) −22.7208 + 21.5577i −0.915447 + 0.868585i
\(617\) 5.44826i 0.219339i 0.993968 + 0.109669i \(0.0349792\pi\)
−0.993968 + 0.109669i \(0.965021\pi\)
\(618\) −11.5499 13.3243i −0.464604 0.535983i
\(619\) 20.2706 11.7032i 0.814743 0.470392i −0.0338575 0.999427i \(-0.510779\pi\)
0.848600 + 0.529035i \(0.177446\pi\)
\(620\) −13.5331 + 7.81336i −0.543504 + 0.313792i
\(621\) 39.4491 1.90096i 1.58304 0.0762829i
\(622\) 14.0403i 0.562966i
\(623\) 10.0114 + 2.96639i 0.401098 + 0.118846i
\(624\) −1.72146 0.595449i −0.0689135 0.0238370i
\(625\) 10.3496 17.9261i 0.413985 0.717043i
\(626\) 4.33254 + 7.50417i 0.173163 + 0.299927i
\(627\) −19.9437 + 3.84764i −0.796476 + 0.153660i
\(628\) 10.2162 + 5.89830i 0.407669 + 0.235368i
\(629\) 25.9410 1.03434
\(630\) 10.9294 + 5.01900i 0.435439 + 0.199962i
\(631\) −10.9370 −0.435395 −0.217697 0.976016i \(-0.569855\pi\)
−0.217697 + 0.976016i \(0.569855\pi\)
\(632\) −14.8069 8.54877i −0.588987 0.340052i
\(633\) 8.81695 1.70101i 0.350442 0.0676089i
\(634\) 2.84238 + 4.92314i 0.112885 + 0.195523i
\(635\) −22.4547 + 38.8927i −0.891088 + 1.54341i
\(636\) 2.08146 + 0.719971i 0.0825351 + 0.0285487i
\(637\) −3.17692 6.23756i −0.125874 0.247141i
\(638\) 26.5812i 1.05236i
\(639\) 16.9355 + 42.2580i 0.669960 + 1.67170i
\(640\) −18.0327 + 10.4112i −0.712807 + 0.411539i
\(641\) −0.779616 + 0.450111i −0.0307930 + 0.0177783i −0.515317 0.856999i \(-0.672326\pi\)
0.484524 + 0.874778i \(0.338993\pi\)
\(642\) 4.43695 + 5.11861i 0.175112 + 0.202016i
\(643\) 29.8005i 1.17522i −0.809145 0.587609i \(-0.800069\pi\)
0.809145 0.587609i \(-0.199931\pi\)
\(644\) −28.5499 + 6.85177i −1.12502 + 0.269998i
\(645\) 9.82861 28.4148i 0.387001 1.11883i
\(646\) −4.39156 + 7.60640i −0.172783 + 0.299270i
\(647\) 20.1220 + 34.8522i 0.791076 + 1.37018i 0.925301 + 0.379232i \(0.123812\pi\)
−0.134226 + 0.990951i \(0.542855\pi\)
\(648\) 15.8032 + 16.5496i 0.620808 + 0.650129i
\(649\) −5.00038 2.88697i −0.196282 0.113323i
\(650\) 0.549801 0.0215650
\(651\) −19.3446 13.8417i −0.758175 0.542501i
\(652\) 9.57581 0.375018
\(653\) −27.1070 15.6502i −1.06078 0.612441i −0.135131 0.990828i \(-0.543146\pi\)
−0.925648 + 0.378387i \(0.876479\pi\)
\(654\) 2.18064 + 11.3031i 0.0852699 + 0.441986i
\(655\) −19.5127 33.7969i −0.762423 1.32055i
\(656\) 2.09932 3.63613i 0.0819648 0.141967i
\(657\) −12.9297 + 16.4538i −0.504435 + 0.641926i
\(658\) 2.93104 + 3.08917i 0.114264 + 0.120429i
\(659\) 18.7698i 0.731167i 0.930779 + 0.365583i \(0.119130\pi\)
−0.930779 + 0.365583i \(0.880870\pi\)
\(660\) 18.3452 15.9021i 0.714086 0.618988i
\(661\) 30.2517 17.4659i 1.17666 0.679343i 0.221418 0.975179i \(-0.428932\pi\)
0.955239 + 0.295836i \(0.0955982\pi\)
\(662\) −9.88060 + 5.70457i −0.384020 + 0.221714i
\(663\) 6.21090 5.38377i 0.241211 0.209088i
\(664\) 1.08901i 0.0422619i
\(665\) −9.45764 9.96789i −0.366751 0.386538i
\(666\) 7.44582 9.47528i 0.288520 0.367160i
\(667\) 29.5259 51.1403i 1.14325 1.98016i
\(668\) −12.3600 21.4082i −0.478225 0.828309i
\(669\) 6.14547 + 31.8543i 0.237598 + 1.23156i
\(670\) 5.42712 + 3.13335i 0.209668 + 0.121052i
\(671\) −50.4640 −1.94814
\(672\) −21.8312 15.6210i −0.842156 0.602592i
\(673\) 41.4021 1.59593 0.797967 0.602701i \(-0.205909\pi\)
0.797967 + 0.602701i \(0.205909\pi\)
\(674\) 14.6590 + 8.46336i 0.564642 + 0.325996i
\(675\) 3.45653 + 1.77956i 0.133042 + 0.0684952i
\(676\) 0.730006 + 1.26441i 0.0280772 + 0.0486311i
\(677\) −20.5028 + 35.5118i −0.787986 + 1.36483i 0.139214 + 0.990262i \(0.455543\pi\)
−0.927199 + 0.374569i \(0.877791\pi\)
\(678\) −0.748508 + 2.16396i −0.0287463 + 0.0831062i
\(679\) 2.71179 0.650811i 0.104069 0.0249758i
\(680\) 24.8795i 0.954084i
\(681\) 7.97098 + 9.19559i 0.305449 + 0.352376i
\(682\) 15.3800 8.87965i 0.588931 0.340019i
\(683\) 22.4638 12.9695i 0.859552 0.496263i −0.00431004 0.999991i \(-0.501372\pi\)
0.863862 + 0.503728i \(0.168039\pi\)
\(684\) −4.10390 10.2401i −0.156916 0.391542i
\(685\) 37.9123i 1.44855i
\(686\) −2.47685 13.3821i −0.0945665 0.510931i
\(687\) −21.3854 7.39715i −0.815902 0.282219i
\(688\) −4.42673 + 7.66733i −0.168768 + 0.292314i
\(689\) −0.435472 0.754260i −0.0165902 0.0287350i
\(690\) −19.5868 + 3.77877i −0.745656 + 0.143855i
\(691\) 13.0873 + 7.55597i 0.497865 + 0.287443i 0.727832 0.685756i \(-0.240528\pi\)
−0.229966 + 0.973199i \(0.573862\pi\)
\(692\) 29.4581 1.11983
\(693\) 33.5837 + 15.4223i 1.27574 + 0.585843i
\(694\) 0.571334 0.0216875
\(695\) −7.32206 4.22739i −0.277742 0.160354i
\(696\) 33.5945 6.48121i 1.27340 0.245670i
\(697\) 9.47300 + 16.4077i 0.358816 + 0.621487i
\(698\) 1.44391 2.50093i 0.0546528 0.0946614i
\(699\) −6.68979 2.31398i −0.253031 0.0875229i
\(700\) −2.77106 0.821071i −0.104736 0.0310336i
\(701\) 36.3652i 1.37349i 0.726896 + 0.686747i \(0.240962\pi\)
−0.726896 + 0.686747i \(0.759038\pi\)
\(702\) −0.183783 3.81391i −0.00693645 0.143947i
\(703\) −11.9235 + 6.88404i −0.449704 + 0.259637i
\(704\) 8.87598 5.12455i 0.334526 0.193139i
\(705\) −5.12382 5.91101i −0.192974 0.222622i
\(706\) 8.97579i 0.337808i
\(707\) 6.03286 5.72404i 0.226889 0.215275i
\(708\) 1.02515 2.96374i 0.0385275 0.111384i
\(709\) 5.76936 9.99282i 0.216673 0.375288i −0.737116 0.675766i \(-0.763813\pi\)
0.953789 + 0.300478i \(0.0971462\pi\)
\(710\) −11.4969 19.9132i −0.431470 0.747328i
\(711\) −2.86369 + 19.9694i −0.107397 + 0.748911i
\(712\) −8.68998 5.01716i −0.325671 0.188026i
\(713\) 39.4533 1.47754
\(714\) 14.5513 6.60535i 0.544569 0.247199i
\(715\) −9.60055 −0.359040
\(716\) −8.14432 4.70213i −0.304368 0.175727i
\(717\) −1.82276 9.44807i −0.0680724 0.352845i
\(718\) −5.82644 10.0917i −0.217441 0.376618i
\(719\) 8.60057 14.8966i 0.320747 0.555550i −0.659895 0.751357i \(-0.729399\pi\)
0.980642 + 0.195807i \(0.0627328\pi\)
\(720\) 5.11519 + 4.01959i 0.190632 + 0.149801i
\(721\) 10.4134 35.1447i 0.387817 1.30886i
\(722\) 9.30032i 0.346122i
\(723\) −1.31790 + 1.14239i −0.0490131 + 0.0424858i
\(724\) 4.95269 2.85944i 0.184065 0.106270i
\(725\) 5.03406 2.90642i 0.186960 0.107942i
\(726\) −10.2695 + 8.90189i −0.381138 + 0.330380i
\(727\) 15.2492i 0.565563i −0.959184 0.282781i \(-0.908743\pi\)
0.959184 0.282781i \(-0.0912571\pi\)
\(728\) 1.56984 + 6.54122i 0.0581823 + 0.242434i
\(729\) 11.1892 24.5724i 0.414413 0.910089i
\(730\) 5.28467 9.15331i 0.195594 0.338779i
\(731\) −19.9752 34.5981i −0.738811 1.27966i
\(732\) −5.19208 26.9125i −0.191905 0.994715i
\(733\) −32.7659 18.9174i −1.21024 0.698730i −0.247425 0.968907i \(-0.579584\pi\)
−0.962811 + 0.270177i \(0.912918\pi\)
\(734\) 24.9005 0.919095
\(735\) 3.44060 + 24.7624i 0.126908 + 0.913376i
\(736\) 44.5247 1.64120
\(737\) 16.6763 + 9.62809i 0.614281 + 0.354655i
\(738\) 8.71215 + 1.24936i 0.320699 + 0.0459894i
\(739\) −8.24744 14.2850i −0.303387 0.525482i 0.673514 0.739175i \(-0.264784\pi\)
−0.976901 + 0.213693i \(0.931451\pi\)
\(740\) 8.22840 14.2520i 0.302482 0.523914i
\(741\) −1.42607 + 4.12280i −0.0523879 + 0.151455i
\(742\) −0.395156 1.64654i −0.0145066 0.0604462i
\(743\) 26.5033i 0.972313i 0.873872 + 0.486157i \(0.161602\pi\)
−0.873872 + 0.486157i \(0.838398\pi\)
\(744\) 14.9725 + 17.2728i 0.548920 + 0.633253i
\(745\) −28.1542 + 16.2548i −1.03149 + 0.595531i
\(746\) 6.06438 3.50127i 0.222033 0.128191i
\(747\) 1.19273 0.478004i 0.0436396 0.0174892i
\(748\) 32.2590i 1.17951i
\(749\) −4.00038 + 13.5010i −0.146171 + 0.493317i
\(750\) −14.2571 4.93149i −0.520595 0.180073i
\(751\) −9.61311 + 16.6504i −0.350787 + 0.607582i −0.986388 0.164437i \(-0.947419\pi\)
0.635600 + 0.772018i \(0.280753\pi\)
\(752\) 1.15173 + 1.99486i 0.0419994 + 0.0727451i
\(753\) −21.5482 + 4.15718i −0.785262 + 0.151496i
\(754\) −4.94420 2.85454i −0.180057 0.103956i
\(755\) −29.6279 −1.07827
\(756\) −4.76938 + 19.4970i −0.173461 + 0.709098i
\(757\) 22.7314 0.826188 0.413094 0.910688i \(-0.364448\pi\)
0.413094 + 0.910688i \(0.364448\pi\)
\(758\) 10.3076 + 5.95111i 0.374390 + 0.216154i
\(759\) −60.1858 + 11.6113i −2.18460 + 0.421464i
\(760\) 6.60234 + 11.4356i 0.239492 + 0.414813i
\(761\) 5.34960 9.26578i 0.193923 0.335884i −0.752624 0.658451i \(-0.771212\pi\)
0.946547 + 0.322566i \(0.104545\pi\)
\(762\) 26.1977 + 9.06173i 0.949042 + 0.328272i
\(763\) −17.3590 + 16.4704i −0.628438 + 0.596268i
\(764\) 31.3477i 1.13412i
\(765\) −27.2489 + 10.9204i −0.985186 + 0.394829i
\(766\) −6.22136 + 3.59190i −0.224787 + 0.129781i
\(767\) −1.07397 + 0.620058i −0.0387789 + 0.0223890i
\(768\) 13.4132 + 15.4740i 0.484009 + 0.558369i
\(769\) 26.1381i 0.942564i 0.881983 + 0.471282i \(0.156209\pi\)
−0.881983 + 0.471282i \(0.843791\pi\)
\(770\) −17.8963 5.30271i −0.644938 0.191096i
\(771\) 0.213747 0.617949i 0.00769791 0.0222549i
\(772\) 1.30127 2.25386i 0.0468337 0.0811183i
\(773\) −10.3464 17.9205i −0.372134 0.644555i 0.617760 0.786367i \(-0.288040\pi\)
−0.989894 + 0.141812i \(0.954707\pi\)
\(774\) −18.3709 2.63445i −0.660328 0.0946934i
\(775\) 3.36333 + 1.94182i 0.120814 + 0.0697522i
\(776\) −2.68001