Properties

Label 280.2.bj.e.171.6
Level $280$
Weight $2$
Character 280.171
Analytic conductor $2.236$
Analytic rank $0$
Dimension $24$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 280.bj (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.23581125660\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(12\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 171.6
Character \(\chi\) \(=\) 280.171
Dual form 280.2.bj.e.131.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.447296 - 1.34161i) q^{2} +(-0.219454 - 0.126702i) q^{3} +(-1.59985 + 1.20020i) q^{4} +(0.500000 + 0.866025i) q^{5} +(-0.0718241 + 0.351096i) q^{6} +(-0.978876 - 2.45801i) q^{7} +(2.32581 + 1.60954i) q^{8} +(-1.46789 - 2.54247i) q^{9} +O(q^{10})\) \(q+(-0.447296 - 1.34161i) q^{2} +(-0.219454 - 0.126702i) q^{3} +(-1.59985 + 1.20020i) q^{4} +(0.500000 + 0.866025i) q^{5} +(-0.0718241 + 0.351096i) q^{6} +(-0.978876 - 2.45801i) q^{7} +(2.32581 + 1.60954i) q^{8} +(-1.46789 - 2.54247i) q^{9} +(0.938224 - 1.05818i) q^{10} +(1.81455 - 3.14289i) q^{11} +(0.503161 - 0.0606834i) q^{12} -5.36097 q^{13} +(-2.85985 + 2.41273i) q^{14} -0.253404i q^{15} +(1.11906 - 3.84027i) q^{16} +(-4.46956 - 2.58050i) q^{17} +(-2.75442 + 3.10658i) q^{18} +(5.49220 - 3.17092i) q^{19} +(-1.83933 - 0.785416i) q^{20} +(-0.0966157 + 0.663445i) q^{21} +(-5.02818 - 1.02862i) q^{22} +(-0.231195 + 0.133481i) q^{23} +(-0.306475 - 0.647905i) q^{24} +(-0.500000 + 0.866025i) q^{25} +(2.39794 + 7.19235i) q^{26} +1.50415i q^{27} +(4.51615 + 2.75761i) q^{28} +2.99647i q^{29} +(-0.339970 + 0.113346i) q^{30} +(-2.72336 + 4.71700i) q^{31} +(-5.65271 + 0.216390i) q^{32} +(-0.796419 + 0.459813i) q^{33} +(-1.46282 + 7.15066i) q^{34} +(1.63926 - 2.07674i) q^{35} +(5.39987 + 2.30581i) q^{36} +(7.48336 - 4.32052i) q^{37} +(-6.71079 - 5.95007i) q^{38} +(1.17649 + 0.679245i) q^{39} +(-0.231002 + 2.81898i) q^{40} -3.46796i q^{41} +(0.933303 - 0.167135i) q^{42} +5.33960 q^{43} +(0.869070 + 7.20596i) q^{44} +(1.46789 - 2.54247i) q^{45} +(0.282492 + 0.250469i) q^{46} +(-2.26364 - 3.92073i) q^{47} +(-0.732152 + 0.700977i) q^{48} +(-5.08360 + 4.81217i) q^{49} +(1.38552 + 0.283437i) q^{50} +(0.653908 + 1.13260i) q^{51} +(8.57677 - 6.43421i) q^{52} +(-3.09705 - 1.78808i) q^{53} +(2.01799 - 0.672800i) q^{54} +3.62909 q^{55} +(1.67959 - 7.29239i) q^{56} -1.60705 q^{57} +(4.02010 - 1.34031i) q^{58} +(6.83489 + 3.94613i) q^{59} +(0.304134 + 0.405409i) q^{60} +(2.63069 + 4.55649i) q^{61} +(7.54654 + 1.54381i) q^{62} +(-4.81251 + 6.09685i) q^{63} +(2.81875 + 7.48697i) q^{64} +(-2.68049 - 4.64274i) q^{65} +(0.973125 + 0.862814i) q^{66} +(0.963653 - 1.66910i) q^{67} +(10.2477 - 1.23592i) q^{68} +0.0676490 q^{69} +(-3.51941 - 1.27034i) q^{70} -15.9319i q^{71} +(0.678172 - 8.27592i) q^{72} +(7.12385 + 4.11296i) q^{73} +(-9.14374 - 8.10722i) q^{74} +(0.219454 - 0.126702i) q^{75} +(-4.98099 + 11.6647i) q^{76} +(-9.50145 - 1.38367i) q^{77} +(0.385047 - 1.88221i) q^{78} +(9.94273 - 5.74044i) q^{79} +(3.88531 - 0.951001i) q^{80} +(-4.21310 + 7.29731i) q^{81} +(-4.65266 + 1.55120i) q^{82} +5.75814i q^{83} +(-0.641693 - 1.17737i) q^{84} -5.16100i q^{85} +(-2.38838 - 7.16367i) q^{86} +(0.379658 - 0.657587i) q^{87} +(9.27889 - 4.38915i) q^{88} +(4.77496 - 2.75683i) q^{89} +(-4.06759 - 0.832112i) q^{90} +(5.24773 + 13.1773i) q^{91} +(0.209676 - 0.491029i) q^{92} +(1.19531 - 0.690110i) q^{93} +(-4.24759 + 4.79065i) q^{94} +(5.49220 + 3.17092i) q^{95} +(1.26793 + 0.668722i) q^{96} +7.98474i q^{97} +(8.72995 + 4.66777i) q^{98} -10.6542 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q - 3q^{2} + 12q^{3} + q^{4} + 12q^{5} + 2q^{6} - 10q^{7} - 6q^{8} + 12q^{9} + O(q^{10}) \) \( 24q - 3q^{2} + 12q^{3} + q^{4} + 12q^{5} + 2q^{6} - 10q^{7} - 6q^{8} + 12q^{9} - 3q^{10} + 8q^{11} + 8q^{12} - 20q^{13} - 15q^{14} - 3q^{16} + 6q^{17} - 27q^{18} + 18q^{19} + 2q^{20} + 26q^{21} - 16q^{22} - 18q^{23} + 6q^{24} - 12q^{25} - 29q^{26} + 3q^{28} + 10q^{30} + 6q^{31} - 33q^{32} + 12q^{33} + 20q^{34} - 8q^{35} - 22q^{36} + 9q^{38} + 18q^{39} - 3q^{40} - 12q^{42} + 32q^{43} - 25q^{44} - 12q^{45} + 53q^{46} + 14q^{48} + 8q^{49} - 22q^{51} - 31q^{52} - 30q^{53} + 10q^{54} + 16q^{55} + 16q^{56} - 44q^{57} + 30q^{58} - 18q^{59} + 10q^{60} - 22q^{61} - 8q^{62} + 12q^{63} + 58q^{64} - 10q^{65} - 8q^{66} - 8q^{67} - 6q^{68} + 12q^{69} + 3q^{70} - 23q^{72} + 30q^{73} - 43q^{74} - 12q^{75} - 8q^{76} + 32q^{77} - 8q^{78} - 6q^{79} + 3q^{80} - 4q^{81} - 27q^{82} - 16q^{84} - 36q^{86} - 14q^{87} + 49q^{88} - 60q^{89} - 24q^{90} + 18q^{91} - 38q^{92} + 18q^{93} + 11q^{94} + 18q^{95} + 2q^{96} - 19q^{98} - 56q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).

\(n\) \(57\) \(71\) \(141\) \(241\)
\(\chi(n)\) \(1\) \(-1\) \(-1\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.447296 1.34161i −0.316286 0.948664i
\(3\) −0.219454 0.126702i −0.126702 0.0731514i 0.435309 0.900281i \(-0.356639\pi\)
−0.562011 + 0.827130i \(0.689972\pi\)
\(4\) −1.59985 + 1.20020i −0.799927 + 0.600098i
\(5\) 0.500000 + 0.866025i 0.223607 + 0.387298i
\(6\) −0.0718241 + 0.351096i −0.0293221 + 0.143334i
\(7\) −0.978876 2.45801i −0.369980 0.929040i
\(8\) 2.32581 + 1.60954i 0.822297 + 0.569059i
\(9\) −1.46789 2.54247i −0.489298 0.847489i
\(10\) 0.938224 1.05818i 0.296692 0.334625i
\(11\) 1.81455 3.14289i 0.547106 0.947616i −0.451365 0.892339i \(-0.649063\pi\)
0.998471 0.0552761i \(-0.0176039\pi\)
\(12\) 0.503161 0.0606834i 0.145250 0.0175178i
\(13\) −5.36097 −1.48687 −0.743433 0.668810i \(-0.766804\pi\)
−0.743433 + 0.668810i \(0.766804\pi\)
\(14\) −2.85985 + 2.41273i −0.764327 + 0.644829i
\(15\) 0.253404i 0.0654286i
\(16\) 1.11906 3.84027i 0.279765 0.960068i
\(17\) −4.46956 2.58050i −1.08403 0.625863i −0.152047 0.988373i \(-0.548586\pi\)
−0.931980 + 0.362510i \(0.881920\pi\)
\(18\) −2.75442 + 3.10658i −0.649224 + 0.732228i
\(19\) 5.49220 3.17092i 1.26000 0.727460i 0.286924 0.957953i \(-0.407367\pi\)
0.973074 + 0.230494i \(0.0740341\pi\)
\(20\) −1.83933 0.785416i −0.411286 0.175624i
\(21\) −0.0966157 + 0.663445i −0.0210833 + 0.144776i
\(22\) −5.02818 1.02862i −1.07201 0.219303i
\(23\) −0.231195 + 0.133481i −0.0482076 + 0.0278326i −0.523910 0.851774i \(-0.675527\pi\)
0.475703 + 0.879606i \(0.342194\pi\)
\(24\) −0.306475 0.647905i −0.0625590 0.132253i
\(25\) −0.500000 + 0.866025i −0.100000 + 0.173205i
\(26\) 2.39794 + 7.19235i 0.470274 + 1.41054i
\(27\) 1.50415i 0.289474i
\(28\) 4.51615 + 2.75761i 0.853472 + 0.521139i
\(29\) 2.99647i 0.556430i 0.960519 + 0.278215i \(0.0897428\pi\)
−0.960519 + 0.278215i \(0.910257\pi\)
\(30\) −0.339970 + 0.113346i −0.0620697 + 0.0206941i
\(31\) −2.72336 + 4.71700i −0.489130 + 0.847199i −0.999922 0.0125059i \(-0.996019\pi\)
0.510791 + 0.859705i \(0.329352\pi\)
\(32\) −5.65271 + 0.216390i −0.999268 + 0.0382527i
\(33\) −0.796419 + 0.459813i −0.138639 + 0.0800431i
\(34\) −1.46282 + 7.15066i −0.250872 + 1.22633i
\(35\) 1.63926 2.07674i 0.277085 0.351032i
\(36\) 5.39987 + 2.30581i 0.899978 + 0.384302i
\(37\) 7.48336 4.32052i 1.23026 0.710289i 0.263173 0.964749i \(-0.415231\pi\)
0.967083 + 0.254460i \(0.0818977\pi\)
\(38\) −6.71079 5.95007i −1.08863 0.965229i
\(39\) 1.17649 + 0.679245i 0.188389 + 0.108766i
\(40\) −0.231002 + 2.81898i −0.0365246 + 0.445720i
\(41\) 3.46796i 0.541604i −0.962635 0.270802i \(-0.912711\pi\)
0.962635 0.270802i \(-0.0872889\pi\)
\(42\) 0.933303 0.167135i 0.144012 0.0257895i
\(43\) 5.33960 0.814281 0.407140 0.913366i \(-0.366526\pi\)
0.407140 + 0.913366i \(0.366526\pi\)
\(44\) 0.869070 + 7.20596i 0.131017 + 1.08634i
\(45\) 1.46789 2.54247i 0.218821 0.379008i
\(46\) 0.282492 + 0.250469i 0.0416512 + 0.0369297i
\(47\) −2.26364 3.92073i −0.330185 0.571898i 0.652363 0.757907i \(-0.273778\pi\)
−0.982548 + 0.186009i \(0.940445\pi\)
\(48\) −0.732152 + 0.700977i −0.105677 + 0.101177i
\(49\) −5.08360 + 4.81217i −0.726229 + 0.687453i
\(50\) 1.38552 + 0.283437i 0.195942 + 0.0400841i
\(51\) 0.653908 + 1.13260i 0.0915655 + 0.158596i
\(52\) 8.57677 6.43421i 1.18938 0.892265i
\(53\) −3.09705 1.78808i −0.425413 0.245612i 0.271978 0.962304i \(-0.412322\pi\)
−0.697391 + 0.716691i \(0.745656\pi\)
\(54\) 2.01799 0.672800i 0.274613 0.0915565i
\(55\) 3.62909 0.489347
\(56\) 1.67959 7.29239i 0.224445 0.974487i
\(57\) −1.60705 −0.212859
\(58\) 4.02010 1.34031i 0.527865 0.175991i
\(59\) 6.83489 + 3.94613i 0.889827 + 0.513742i 0.873886 0.486131i \(-0.161592\pi\)
0.0159410 + 0.999873i \(0.494926\pi\)
\(60\) 0.304134 + 0.405409i 0.0392635 + 0.0523380i
\(61\) 2.63069 + 4.55649i 0.336825 + 0.583398i 0.983834 0.179084i \(-0.0573135\pi\)
−0.647009 + 0.762483i \(0.723980\pi\)
\(62\) 7.54654 + 1.54381i 0.958412 + 0.196064i
\(63\) −4.81251 + 6.09685i −0.606320 + 0.768131i
\(64\) 2.81875 + 7.48697i 0.352343 + 0.935871i
\(65\) −2.68049 4.64274i −0.332473 0.575861i
\(66\) 0.973125 + 0.862814i 0.119783 + 0.106205i
\(67\) 0.963653 1.66910i 0.117729 0.203913i −0.801138 0.598479i \(-0.795772\pi\)
0.918867 + 0.394567i \(0.129105\pi\)
\(68\) 10.2477 1.23592i 1.24272 0.149877i
\(69\) 0.0676490 0.00814398
\(70\) −3.51941 1.27034i −0.420650 0.151834i
\(71\) 15.9319i 1.89077i −0.325956 0.945385i \(-0.605686\pi\)
0.325956 0.945385i \(-0.394314\pi\)
\(72\) 0.678172 8.27592i 0.0799233 0.975326i
\(73\) 7.12385 + 4.11296i 0.833783 + 0.481385i 0.855146 0.518387i \(-0.173467\pi\)
−0.0213629 + 0.999772i \(0.506801\pi\)
\(74\) −9.14374 8.10722i −1.06294 0.942446i
\(75\) 0.219454 0.126702i 0.0253404 0.0146303i
\(76\) −4.98099 + 11.6647i −0.571358 + 1.33804i
\(77\) −9.50145 1.38367i −1.08279 0.157684i
\(78\) 0.385047 1.88221i 0.0435980 0.213119i
\(79\) 9.94273 5.74044i 1.11864 0.645849i 0.177590 0.984105i \(-0.443170\pi\)
0.941054 + 0.338255i \(0.109837\pi\)
\(80\) 3.88531 0.951001i 0.434390 0.106325i
\(81\) −4.21310 + 7.29731i −0.468122 + 0.810812i
\(82\) −4.65266 + 1.55120i −0.513800 + 0.171302i
\(83\) 5.75814i 0.632039i 0.948753 + 0.316019i \(0.102346\pi\)
−0.948753 + 0.316019i \(0.897654\pi\)
\(84\) −0.641693 1.17737i −0.0700144 0.128462i
\(85\) 5.16100i 0.559789i
\(86\) −2.38838 7.16367i −0.257545 0.772479i
\(87\) 0.379658 0.657587i 0.0407036 0.0705007i
\(88\) 9.27889 4.38915i 0.989133 0.467885i
\(89\) 4.77496 2.75683i 0.506145 0.292223i −0.225103 0.974335i \(-0.572272\pi\)
0.731248 + 0.682112i \(0.238938\pi\)
\(90\) −4.06759 0.832112i −0.428761 0.0877123i
\(91\) 5.24773 + 13.1773i 0.550111 + 1.38136i
\(92\) 0.209676 0.491029i 0.0218602 0.0511933i
\(93\) 1.19531 0.690110i 0.123947 0.0715611i
\(94\) −4.24759 + 4.79065i −0.438106 + 0.494118i
\(95\) 5.49220 + 3.17092i 0.563488 + 0.325330i
\(96\) 1.26793 + 0.668722i 0.129407 + 0.0682511i
\(97\) 7.98474i 0.810727i 0.914156 + 0.405364i \(0.132855\pi\)
−0.914156 + 0.405364i \(0.867145\pi\)
\(98\) 8.72995 + 4.66777i 0.881858 + 0.471516i
\(99\) −10.6542 −1.07079
\(100\) −0.239473 1.98561i −0.0239473 0.198561i
\(101\) −4.74975 + 8.22681i −0.472618 + 0.818598i −0.999509 0.0313347i \(-0.990024\pi\)
0.526891 + 0.849933i \(0.323358\pi\)
\(102\) 1.22702 1.38390i 0.121494 0.137027i
\(103\) 3.75103 + 6.49697i 0.369600 + 0.640166i 0.989503 0.144513i \(-0.0461615\pi\)
−0.619903 + 0.784678i \(0.712828\pi\)
\(104\) −12.4686 8.62871i −1.22264 0.846115i
\(105\) −0.622868 + 0.248051i −0.0607857 + 0.0242073i
\(106\) −1.01362 + 4.95485i −0.0984515 + 0.481258i
\(107\) −3.73750 6.47354i −0.361318 0.625821i 0.626860 0.779132i \(-0.284340\pi\)
−0.988178 + 0.153311i \(0.951006\pi\)
\(108\) −1.80527 2.40642i −0.173713 0.231558i
\(109\) 16.8873 + 9.74989i 1.61751 + 0.933870i 0.987561 + 0.157234i \(0.0502578\pi\)
0.629949 + 0.776636i \(0.283076\pi\)
\(110\) −1.62328 4.86884i −0.154773 0.464225i
\(111\) −2.18967 −0.207834
\(112\) −10.5348 + 1.00849i −0.995449 + 0.0952936i
\(113\) −20.8176 −1.95836 −0.979179 0.202997i \(-0.934932\pi\)
−0.979179 + 0.202997i \(0.934932\pi\)
\(114\) 0.718825 + 2.15604i 0.0673242 + 0.201931i
\(115\) −0.231195 0.133481i −0.0215591 0.0124471i
\(116\) −3.59635 4.79391i −0.333912 0.445103i
\(117\) 7.86933 + 13.6301i 0.727520 + 1.26010i
\(118\) 2.23696 10.9349i 0.205929 1.00664i
\(119\) −1.96774 + 13.5122i −0.180383 + 1.23866i
\(120\) 0.407864 0.589368i 0.0372327 0.0538017i
\(121\) −1.08515 1.87954i −0.0986502 0.170867i
\(122\) 4.93635 5.56746i 0.446916 0.504055i
\(123\) −0.439397 + 0.761058i −0.0396191 + 0.0686223i
\(124\) −1.30434 10.8151i −0.117134 0.971223i
\(125\) −1.00000 −0.0894427
\(126\) 10.3322 + 3.72944i 0.920469 + 0.332245i
\(127\) 8.44123i 0.749038i −0.927219 0.374519i \(-0.877808\pi\)
0.927219 0.374519i \(-0.122192\pi\)
\(128\) 8.78380 7.13055i 0.776386 0.630258i
\(129\) −1.17180 0.676537i −0.103171 0.0595657i
\(130\) −5.02979 + 5.67285i −0.441142 + 0.497542i
\(131\) −4.74957 + 2.74216i −0.414972 + 0.239584i −0.692924 0.721011i \(-0.743678\pi\)
0.277952 + 0.960595i \(0.410344\pi\)
\(132\) 0.722288 1.69149i 0.0628671 0.147225i
\(133\) −13.1703 10.3959i −1.14201 0.901441i
\(134\) −2.67032 0.546271i −0.230681 0.0471906i
\(135\) −1.30263 + 0.752075i −0.112113 + 0.0647283i
\(136\) −6.24190 13.1957i −0.535238 1.13152i
\(137\) 4.21281 7.29680i 0.359925 0.623408i −0.628023 0.778195i \(-0.716136\pi\)
0.987948 + 0.154787i \(0.0494691\pi\)
\(138\) −0.0302591 0.0907588i −0.00257583 0.00772590i
\(139\) 11.5832i 0.982472i −0.871027 0.491236i \(-0.836545\pi\)
0.871027 0.491236i \(-0.163455\pi\)
\(140\) −0.130085 + 5.28990i −0.0109942 + 0.447078i
\(141\) 1.14723i 0.0966140i
\(142\) −21.3745 + 7.12627i −1.79370 + 0.598023i
\(143\) −9.72773 + 16.8489i −0.813473 + 1.40898i
\(144\) −11.4064 + 2.79194i −0.950536 + 0.232661i
\(145\) −2.59502 + 1.49823i −0.215504 + 0.124422i
\(146\) 2.33153 11.3972i 0.192959 0.943235i
\(147\) 1.72533 0.411949i 0.142303 0.0339769i
\(148\) −6.78681 + 15.8937i −0.557872 + 1.30645i
\(149\) 10.0102 5.77937i 0.820065 0.473465i −0.0303740 0.999539i \(-0.509670\pi\)
0.850439 + 0.526074i \(0.176336\pi\)
\(150\) −0.268146 0.237749i −0.0218940 0.0194122i
\(151\) −13.9344 8.04501i −1.13396 0.654694i −0.189035 0.981970i \(-0.560536\pi\)
−0.944929 + 0.327276i \(0.893869\pi\)
\(152\) 17.8775 + 1.46498i 1.45006 + 0.118825i
\(153\) 15.1516i 1.22493i
\(154\) 2.39361 + 13.3662i 0.192882 + 1.07708i
\(155\) −5.44673 −0.437492
\(156\) −2.69743 + 0.325322i −0.215967 + 0.0260466i
\(157\) −1.07894 + 1.86877i −0.0861086 + 0.149144i −0.905863 0.423571i \(-0.860777\pi\)
0.819754 + 0.572715i \(0.194110\pi\)
\(158\) −12.1488 10.7716i −0.966505 0.856944i
\(159\) 0.453107 + 0.784805i 0.0359337 + 0.0622391i
\(160\) −3.01376 4.78720i −0.238258 0.378461i
\(161\) 0.554408 + 0.437619i 0.0436935 + 0.0344892i
\(162\) 11.6747 + 2.38830i 0.917248 + 0.187643i
\(163\) 0.598474 + 1.03659i 0.0468761 + 0.0811918i 0.888511 0.458854i \(-0.151740\pi\)
−0.841635 + 0.540046i \(0.818407\pi\)
\(164\) 4.16223 + 5.54823i 0.325015 + 0.433244i
\(165\) −0.796419 0.459813i −0.0620011 0.0357964i
\(166\) 7.72520 2.57559i 0.599592 0.199905i
\(167\) 13.0622 1.01079 0.505393 0.862889i \(-0.331347\pi\)
0.505393 + 0.862889i \(0.331347\pi\)
\(168\) −1.29255 + 1.38754i −0.0997226 + 0.107051i
\(169\) 15.7400 1.21077
\(170\) −6.92407 + 2.30849i −0.531052 + 0.177053i
\(171\) −16.1239 9.30916i −1.23303 0.711889i
\(172\) −8.54257 + 6.40856i −0.651365 + 0.488648i
\(173\) −12.3607 21.4093i −0.939764 1.62772i −0.765910 0.642948i \(-0.777711\pi\)
−0.173854 0.984771i \(-0.555622\pi\)
\(174\) −1.05205 0.215219i −0.0797555 0.0163157i
\(175\) 2.61814 + 0.381272i 0.197912 + 0.0288215i
\(176\) −10.0390 10.4854i −0.756714 0.790369i
\(177\) −0.999963 1.73199i −0.0751618 0.130184i
\(178\) −5.83441 5.17304i −0.437308 0.387736i
\(179\) −6.48006 + 11.2238i −0.484342 + 0.838905i −0.999838 0.0179868i \(-0.994274\pi\)
0.515496 + 0.856892i \(0.327608\pi\)
\(180\) 0.703042 + 5.82933i 0.0524017 + 0.434493i
\(181\) −10.5665 −0.785403 −0.392702 0.919666i \(-0.628459\pi\)
−0.392702 + 0.919666i \(0.628459\pi\)
\(182\) 15.3316 12.9346i 1.13645 0.958774i
\(183\) 1.33325i 0.0985569i
\(184\) −0.752558 0.0616685i −0.0554793 0.00454627i
\(185\) 7.48336 + 4.32052i 0.550187 + 0.317651i
\(186\) −1.46052 1.29496i −0.107090 0.0949507i
\(187\) −16.2204 + 9.36487i −1.18616 + 0.684827i
\(188\) 8.32713 + 3.55579i 0.607318 + 0.259333i
\(189\) 3.69721 1.47238i 0.268933 0.107100i
\(190\) 1.79752 8.78675i 0.130406 0.637458i
\(191\) −3.42981 + 1.98020i −0.248173 + 0.143282i −0.618927 0.785448i \(-0.712432\pi\)
0.370755 + 0.928731i \(0.379099\pi\)
\(192\) 0.330027 2.00019i 0.0238177 0.144351i
\(193\) 7.14531 12.3760i 0.514330 0.890846i −0.485531 0.874219i \(-0.661374\pi\)
0.999862 0.0166270i \(-0.00529279\pi\)
\(194\) 10.7124 3.57154i 0.769108 0.256421i
\(195\) 1.35849i 0.0972835i
\(196\) 2.35747 13.8001i 0.168391 0.985720i
\(197\) 4.05223i 0.288709i 0.989526 + 0.144355i \(0.0461106\pi\)
−0.989526 + 0.144355i \(0.953889\pi\)
\(198\) 4.76559 + 14.2939i 0.338676 + 1.01582i
\(199\) 1.37120 2.37499i 0.0972020 0.168359i −0.813324 0.581812i \(-0.802344\pi\)
0.910525 + 0.413453i \(0.135677\pi\)
\(200\) −2.55681 + 1.20944i −0.180794 + 0.0855200i
\(201\) −0.422955 + 0.244193i −0.0298330 + 0.0172241i
\(202\) 13.1617 + 2.69251i 0.926057 + 0.189445i
\(203\) 7.36534 2.93317i 0.516946 0.205868i
\(204\) −2.40550 1.02718i −0.168419 0.0719170i
\(205\) 3.00334 1.73398i 0.209762 0.121106i
\(206\) 7.03860 7.93850i 0.490403 0.553101i
\(207\) 0.678740 + 0.391871i 0.0471757 + 0.0272369i
\(208\) −5.99925 + 20.5876i −0.415973 + 1.42749i
\(209\) 23.0151i 1.59199i
\(210\) 0.611395 + 0.724696i 0.0421902 + 0.0500088i
\(211\) −2.41112 −0.165988 −0.0829942 0.996550i \(-0.526448\pi\)
−0.0829942 + 0.996550i \(0.526448\pi\)
\(212\) 7.10088 0.856397i 0.487691 0.0588176i
\(213\) −2.01860 + 3.49632i −0.138312 + 0.239564i
\(214\) −7.01322 + 7.90987i −0.479414 + 0.540708i
\(215\) 2.66980 + 4.62422i 0.182079 + 0.315370i
\(216\) −2.42099 + 3.49836i −0.164728 + 0.238033i
\(217\) 14.2603 + 2.07668i 0.968050 + 0.140975i
\(218\) 5.52697 27.0173i 0.374333 1.82984i
\(219\) −1.04224 1.80521i −0.0704279 0.121985i
\(220\) −5.80601 + 4.35562i −0.391441 + 0.293656i
\(221\) 23.9612 + 13.8340i 1.61180 + 0.930575i
\(222\) 0.979430 + 2.93769i 0.0657350 + 0.197165i
\(223\) 19.8843 1.33155 0.665774 0.746153i \(-0.268101\pi\)
0.665774 + 0.746153i \(0.268101\pi\)
\(224\) 6.06520 + 13.6826i 0.405248 + 0.914207i
\(225\) 2.93579 0.195719
\(226\) 9.31164 + 27.9292i 0.619401 + 1.85782i
\(227\) 21.4464 + 12.3821i 1.42345 + 0.821827i 0.996592 0.0824926i \(-0.0262881\pi\)
0.426855 + 0.904320i \(0.359621\pi\)
\(228\) 2.57104 1.92877i 0.170271 0.127736i
\(229\) −5.98187 10.3609i −0.395293 0.684668i 0.597845 0.801612i \(-0.296024\pi\)
−0.993139 + 0.116943i \(0.962690\pi\)
\(230\) −0.0756668 + 0.369880i −0.00498932 + 0.0243892i
\(231\) 1.90982 + 1.50750i 0.125657 + 0.0991865i
\(232\) −4.82294 + 6.96920i −0.316642 + 0.457551i
\(233\) 5.54956 + 9.61212i 0.363564 + 0.629711i 0.988545 0.150929i \(-0.0482265\pi\)
−0.624981 + 0.780640i \(0.714893\pi\)
\(234\) 14.7664 16.6543i 0.965309 1.08872i
\(235\) 2.26364 3.92073i 0.147663 0.255760i
\(236\) −15.6709 + 1.88998i −1.02009 + 0.123027i
\(237\) −2.90930 −0.188979
\(238\) 19.0083 3.40399i 1.23213 0.220648i
\(239\) 24.8172i 1.60529i −0.596455 0.802646i \(-0.703425\pi\)
0.596455 0.802646i \(-0.296575\pi\)
\(240\) −0.973140 0.283574i −0.0628159 0.0183046i
\(241\) 9.84971 + 5.68673i 0.634475 + 0.366315i 0.782483 0.622672i \(-0.213953\pi\)
−0.148008 + 0.988986i \(0.547286\pi\)
\(242\) −2.03623 + 2.29656i −0.130894 + 0.147629i
\(243\) 5.75706 3.32384i 0.369316 0.213225i
\(244\) −9.67739 4.13237i −0.619532 0.264548i
\(245\) −6.70926 1.99644i −0.428639 0.127548i
\(246\) 1.21759 + 0.249083i 0.0776304 + 0.0158810i
\(247\) −29.4435 + 16.9992i −1.87345 + 1.08164i
\(248\) −13.9262 + 6.58747i −0.884317 + 0.418304i
\(249\) 0.729568 1.26365i 0.0462345 0.0800805i
\(250\) 0.447296 + 1.34161i 0.0282895 + 0.0848511i
\(251\) 8.98434i 0.567087i −0.958959 0.283543i \(-0.908490\pi\)
0.958959 0.283543i \(-0.0915100\pi\)
\(252\) 0.381901 15.5300i 0.0240575 0.978300i
\(253\) 0.968827i 0.0609096i
\(254\) −11.3249 + 3.77573i −0.710586 + 0.236910i
\(255\) −0.653908 + 1.13260i −0.0409493 + 0.0709263i
\(256\) −13.4954 8.59500i −0.843463 0.537188i
\(257\) −2.10401 + 1.21475i −0.131244 + 0.0757740i −0.564185 0.825649i \(-0.690809\pi\)
0.432940 + 0.901423i \(0.357476\pi\)
\(258\) −0.383512 + 1.87471i −0.0238764 + 0.116714i
\(259\) −17.9451 14.1649i −1.11506 0.880164i
\(260\) 9.86058 + 4.21059i 0.611527 + 0.261130i
\(261\) 7.61842 4.39850i 0.471568 0.272260i
\(262\) 5.80339 + 5.14553i 0.358534 + 0.317892i
\(263\) 1.99243 + 1.15033i 0.122858 + 0.0709323i 0.560170 0.828378i \(-0.310736\pi\)
−0.437311 + 0.899310i \(0.644069\pi\)
\(264\) −2.59240 0.212435i −0.159551 0.0130745i
\(265\) 3.57617i 0.219682i
\(266\) −8.05628 + 22.3196i −0.493962 + 1.36850i
\(267\) −1.39718 −0.0855060
\(268\) 0.461538 + 3.82688i 0.0281929 + 0.233764i
\(269\) −0.609154 + 1.05509i −0.0371408 + 0.0643297i −0.883998 0.467490i \(-0.845158\pi\)
0.846857 + 0.531820i \(0.178492\pi\)
\(270\) 1.59166 + 1.41123i 0.0968651 + 0.0858847i
\(271\) −12.1092 20.9738i −0.735582 1.27406i −0.954468 0.298314i \(-0.903576\pi\)
0.218886 0.975750i \(-0.429758\pi\)
\(272\) −14.9115 + 14.2766i −0.904145 + 0.865645i
\(273\) 0.517954 3.55671i 0.0313480 0.215262i
\(274\) −11.6739 2.38814i −0.705243 0.144273i
\(275\) 1.81455 + 3.14289i 0.109421 + 0.189523i
\(276\) −0.108228 + 0.0811920i −0.00651459 + 0.00488719i
\(277\) 7.22720 + 4.17263i 0.434240 + 0.250709i 0.701151 0.713012i \(-0.252670\pi\)
−0.266911 + 0.963721i \(0.586003\pi\)
\(278\) −15.5401 + 5.18110i −0.932035 + 0.310742i
\(279\) 15.9904 0.957322
\(280\) 7.15519 2.19163i 0.427605 0.130975i
\(281\) 19.8252 1.18267 0.591337 0.806425i \(-0.298600\pi\)
0.591337 + 0.806425i \(0.298600\pi\)
\(282\) 1.53914 0.513150i 0.0916542 0.0305576i
\(283\) −8.33705 4.81340i −0.495586 0.286127i 0.231303 0.972882i \(-0.425701\pi\)
−0.726889 + 0.686755i \(0.759035\pi\)
\(284\) 19.1214 + 25.4887i 1.13465 + 1.51248i
\(285\) −0.803524 1.39174i −0.0475966 0.0824398i
\(286\) 26.9559 + 5.51440i 1.59394 + 0.326073i
\(287\) −8.52427 + 3.39470i −0.503172 + 0.200383i
\(288\) 8.84774 + 14.0542i 0.521358 + 0.828151i
\(289\) 4.81796 + 8.34495i 0.283409 + 0.490879i
\(290\) 3.17079 + 2.81136i 0.186195 + 0.165089i
\(291\) 1.01168 1.75228i 0.0593058 0.102721i
\(292\) −16.3335 + 1.96989i −0.955844 + 0.115279i
\(293\) −0.487956 −0.0285067 −0.0142534 0.999898i \(-0.504537\pi\)
−0.0142534 + 0.999898i \(0.504537\pi\)
\(294\) −1.32441 2.13046i −0.0772410 0.124251i
\(295\) 7.89225i 0.459505i
\(296\) 24.3589 + 1.99609i 1.41583 + 0.116021i
\(297\) 4.72737 + 2.72935i 0.274310 + 0.158373i
\(298\) −12.2312 10.8447i −0.708534 0.628216i
\(299\) 1.23943 0.715586i 0.0716782 0.0413834i
\(300\) −0.199027 + 0.466092i −0.0114908 + 0.0269098i
\(301\) −5.22680 13.1248i −0.301268 0.756499i
\(302\) −4.56052 + 22.2930i −0.262428 + 1.28282i
\(303\) 2.08470 1.20360i 0.119763 0.0691453i
\(304\) −6.03111 24.6400i −0.345908 1.41320i
\(305\) −2.63069 + 4.55649i −0.150633 + 0.260904i
\(306\) 20.3276 6.77724i 1.16205 0.387429i
\(307\) 11.8335i 0.675376i −0.941258 0.337688i \(-0.890355\pi\)
0.941258 0.337688i \(-0.109645\pi\)
\(308\) 16.8616 9.18993i 0.960779 0.523645i
\(309\) 1.90105i 0.108147i
\(310\) 2.43630 + 7.30740i 0.138372 + 0.415032i
\(311\) −2.29486 + 3.97481i −0.130129 + 0.225391i −0.923726 0.383053i \(-0.874873\pi\)
0.793597 + 0.608444i \(0.208206\pi\)
\(312\) 1.64301 + 3.47340i 0.0930169 + 0.196642i
\(313\) 17.7907 10.2714i 1.00559 0.580577i 0.0956913 0.995411i \(-0.469494\pi\)
0.909897 + 0.414834i \(0.136160\pi\)
\(314\) 2.98978 + 0.611622i 0.168723 + 0.0345159i
\(315\) −7.68629 1.11933i −0.433073 0.0630673i
\(316\) −9.01726 + 21.1171i −0.507260 + 1.18793i
\(317\) −6.76332 + 3.90481i −0.379866 + 0.219316i −0.677760 0.735283i \(-0.737049\pi\)
0.297894 + 0.954599i \(0.403716\pi\)
\(318\) 0.850232 0.958935i 0.0476786 0.0537744i
\(319\) 9.41755 + 5.43723i 0.527282 + 0.304426i
\(320\) −5.07453 + 6.18459i −0.283675 + 0.345729i
\(321\) 1.89419i 0.105724i
\(322\) 0.339131 0.939546i 0.0188990 0.0523589i
\(323\) −32.7303 −1.82116
\(324\) −2.01785 16.7312i −0.112103 0.929509i
\(325\) 2.68049 4.64274i 0.148687 0.257533i
\(326\) 1.12300 1.26658i 0.0621975 0.0701495i
\(327\) −2.47066 4.27931i −0.136628 0.236646i
\(328\) 5.58183 8.06580i 0.308205 0.445359i
\(329\) −7.42137 + 9.40195i −0.409153 + 0.518346i
\(330\) −0.260656 + 1.27416i −0.0143486 + 0.0701401i
\(331\) 6.35126 + 11.0007i 0.349097 + 0.604654i 0.986089 0.166216i \(-0.0531550\pi\)
−0.636992 + 0.770870i \(0.719822\pi\)
\(332\) −6.91090 9.21219i −0.379285 0.505584i
\(333\) −21.9695 12.6841i −1.20392 0.695085i
\(334\) −5.84268 17.5245i −0.319697 0.958897i
\(335\) 1.92731 0.105300
\(336\) 2.43969 + 1.11347i 0.133096 + 0.0607446i
\(337\) 13.8789 0.756033 0.378016 0.925799i \(-0.376606\pi\)
0.378016 + 0.925799i \(0.376606\pi\)
\(338\) −7.04044 21.1170i −0.382949 1.14861i
\(339\) 4.56852 + 2.63763i 0.248128 + 0.143257i
\(340\) 6.19421 + 8.25684i 0.335928 + 0.447790i
\(341\) 9.88333 + 17.1184i 0.535213 + 0.927015i
\(342\) −5.27713 + 25.7960i −0.285354 + 1.39489i
\(343\) 16.8046 + 7.78501i 0.907362 + 0.420351i
\(344\) 12.4189 + 8.59431i 0.669580 + 0.463374i
\(345\) 0.0338245 + 0.0585857i 0.00182105 + 0.00315415i
\(346\) −23.1941 + 26.1595i −1.24692 + 1.40634i
\(347\) −6.43516 + 11.1460i −0.345457 + 0.598350i −0.985437 0.170042i \(-0.945610\pi\)
0.639979 + 0.768392i \(0.278943\pi\)
\(348\) 0.181836 + 1.50771i 0.00974743 + 0.0808216i
\(349\) −21.0526 −1.12692 −0.563460 0.826143i \(-0.690530\pi\)
−0.563460 + 0.826143i \(0.690530\pi\)
\(350\) −0.659561 3.68307i −0.0352550 0.196868i
\(351\) 8.06371i 0.430409i
\(352\) −9.57702 + 18.1585i −0.510457 + 0.967850i
\(353\) −25.8483 14.9235i −1.37577 0.794298i −0.384119 0.923284i \(-0.625495\pi\)
−0.991647 + 0.128985i \(0.958828\pi\)
\(354\) −1.87638 + 2.11627i −0.0997283 + 0.112479i
\(355\) 13.7974 7.96595i 0.732292 0.422789i
\(356\) −4.33051 + 10.1414i −0.229517 + 0.537493i
\(357\) 2.14385 2.71599i 0.113465 0.143745i
\(358\) 17.9565 + 3.67338i 0.949030 + 0.194144i
\(359\) −16.5346 + 9.54628i −0.872665 + 0.503833i −0.868233 0.496157i \(-0.834744\pi\)
−0.00443178 + 0.999990i \(0.501411\pi\)
\(360\) 7.50624 3.55065i 0.395614 0.187135i
\(361\) 10.6095 18.3762i 0.558396 0.967169i
\(362\) 4.72636 + 14.1762i 0.248412 + 0.745084i
\(363\) 0.549963i 0.0288656i
\(364\) −24.2109 14.7835i −1.26900 0.774864i
\(365\) 8.22591i 0.430564i
\(366\) −1.78871 + 0.596358i −0.0934974 + 0.0311721i
\(367\) −4.90832 + 8.50146i −0.256212 + 0.443773i −0.965224 0.261424i \(-0.915808\pi\)
0.709012 + 0.705197i \(0.249141\pi\)
\(368\) 0.253881 + 1.03723i 0.0132344 + 0.0540692i
\(369\) −8.81717 + 5.09059i −0.459003 + 0.265006i
\(370\) 2.44919 11.9723i 0.127327 0.622411i
\(371\) −1.36349 + 9.36290i −0.0707890 + 0.486097i
\(372\) −1.08405 + 2.53868i −0.0562052 + 0.131624i
\(373\) 20.2929 11.7161i 1.05072 0.606636i 0.127873 0.991791i \(-0.459185\pi\)
0.922852 + 0.385154i \(0.125852\pi\)
\(374\) 19.8194 + 17.5727i 1.02483 + 0.908662i
\(375\) 0.219454 + 0.126702i 0.0113326 + 0.00654286i
\(376\) 1.04581 12.7623i 0.0539334 0.658164i
\(377\) 16.0640i 0.827337i
\(378\) −3.62911 4.30164i −0.186661 0.221253i
\(379\) 10.7259 0.550954 0.275477 0.961308i \(-0.411164\pi\)
0.275477 + 0.961308i \(0.411164\pi\)
\(380\) −12.5924 + 1.51870i −0.645979 + 0.0779078i
\(381\) −1.06952 + 1.85246i −0.0547932 + 0.0949046i
\(382\) 4.19081 + 3.71575i 0.214420 + 0.190114i
\(383\) −0.700673 1.21360i −0.0358027 0.0620122i 0.847569 0.530686i \(-0.178065\pi\)
−0.883372 + 0.468673i \(0.844732\pi\)
\(384\) −2.83110 + 0.451905i −0.144474 + 0.0230612i
\(385\) −3.55243 8.92033i −0.181049 0.454622i
\(386\) −19.7999 4.05049i −1.00779 0.206165i
\(387\) −7.83796 13.5757i −0.398426 0.690094i
\(388\) −9.58325 12.7744i −0.486516 0.648522i
\(389\) −2.49049 1.43789i −0.126273 0.0729037i 0.435533 0.900173i \(-0.356560\pi\)
−0.561806 + 0.827269i \(0.689893\pi\)
\(390\) 1.82257 0.607647i 0.0922893 0.0307694i
\(391\) 1.37779 0.0696777
\(392\) −19.5689 + 3.00990i −0.988377 + 0.152023i
\(393\) 1.38975 0.0701036
\(394\) 5.43652 1.81254i 0.273888 0.0913146i
\(395\) 9.94273 + 5.74044i 0.500273 + 0.288833i
\(396\) 17.0452 12.7872i 0.856554 0.642579i
\(397\) 1.26251 + 2.18672i 0.0633633 + 0.109749i 0.895967 0.444121i \(-0.146484\pi\)
−0.832603 + 0.553870i \(0.813151\pi\)
\(398\) −3.79965 0.777300i −0.190459 0.0389625i
\(399\) 1.57310 + 3.95014i 0.0787536 + 0.197754i
\(400\) 2.76624 + 2.88927i 0.138312 + 0.144464i
\(401\) −19.3792 33.5657i −0.967749 1.67619i −0.702041 0.712136i \(-0.747728\pi\)
−0.265707 0.964054i \(-0.585606\pi\)
\(402\) 0.516799 + 0.458216i 0.0257756 + 0.0228537i
\(403\) 14.5999 25.2877i 0.727271 1.25967i
\(404\) −2.27488 18.8623i −0.113179 0.938435i
\(405\) −8.42620 −0.418701
\(406\) −7.22967 8.56945i −0.358802 0.425294i
\(407\) 31.3591i 1.55441i
\(408\) −0.302108 + 3.68671i −0.0149566 + 0.182519i
\(409\) 2.68850 + 1.55221i 0.132938 + 0.0767518i 0.564994 0.825095i \(-0.308878\pi\)
−0.432056 + 0.901847i \(0.642212\pi\)
\(410\) −3.66971 3.25372i −0.181234 0.160690i
\(411\) −1.84904 + 1.06754i −0.0912062 + 0.0526579i
\(412\) −13.7987 5.89223i −0.679815 0.290289i
\(413\) 3.00909 20.6630i 0.148068 1.01676i
\(414\) 0.222142 1.08589i 0.0109177 0.0533685i
\(415\) −4.98670 + 2.87907i −0.244787 + 0.141328i
\(416\) 30.3040 1.16006i 1.48578 0.0568766i
\(417\) −1.46761 + 2.54197i −0.0718691 + 0.124481i
\(418\) −30.8774 + 10.2946i −1.51026 + 0.503524i
\(419\) 11.1649i 0.545441i 0.962093 + 0.272720i \(0.0879234\pi\)
−0.962093 + 0.272720i \(0.912077\pi\)
\(420\) 0.698788 1.14441i 0.0340974 0.0558414i
\(421\) 35.1106i 1.71119i 0.517648 + 0.855594i \(0.326808\pi\)
−0.517648 + 0.855594i \(0.673192\pi\)
\(422\) 1.07848 + 3.23479i 0.0524997 + 0.157467i
\(423\) −6.64555 + 11.5104i −0.323118 + 0.559656i
\(424\) −4.32515 9.14358i −0.210048 0.444051i
\(425\) 4.46956 2.58050i 0.216805 0.125173i
\(426\) 5.59362 + 1.14429i 0.271012 + 0.0554413i
\(427\) 8.62476 10.9265i 0.417381 0.528770i
\(428\) 13.7490 + 5.87099i 0.664582 + 0.283785i
\(429\) 4.26958 2.46504i 0.206137 0.119013i
\(430\) 5.00973 5.65023i 0.241591 0.272478i
\(431\) 12.4675 + 7.19809i 0.600536 + 0.346720i 0.769253 0.638945i \(-0.220629\pi\)
−0.168716 + 0.985665i \(0.553962\pi\)
\(432\) 5.77635 + 1.68324i 0.277915 + 0.0809847i
\(433\) 36.8668i 1.77171i 0.463967 + 0.885853i \(0.346426\pi\)
−0.463967 + 0.885853i \(0.653574\pi\)
\(434\) −3.59245 20.0607i −0.172443 0.962942i
\(435\) 0.759316 0.0364064
\(436\) −38.7190 + 4.66968i −1.85430 + 0.223637i
\(437\) −0.846514 + 1.46621i −0.0404943 + 0.0701381i
\(438\) −1.95570 + 2.20574i −0.0934472 + 0.105394i
\(439\) −18.4785 32.0057i −0.881930 1.52755i −0.849193 0.528083i \(-0.822911\pi\)
−0.0327369 0.999464i \(-0.510422\pi\)
\(440\) 8.44056 + 5.84118i 0.402388 + 0.278467i
\(441\) 19.6970 + 5.86113i 0.937951 + 0.279101i
\(442\) 7.84214 38.3345i 0.373012 1.82339i
\(443\) 10.7895 + 18.6880i 0.512626 + 0.887895i 0.999893 + 0.0146414i \(0.00466067\pi\)
−0.487267 + 0.873253i \(0.662006\pi\)
\(444\) 3.50315 2.62803i 0.166252 0.124721i
\(445\) 4.77496 + 2.75683i 0.226355 + 0.130686i
\(446\) −8.89414 26.6770i −0.421150 1.26319i
\(447\) −2.92903 −0.138538
\(448\) 15.6438 14.2573i 0.739101 0.673595i
\(449\) −31.7876 −1.50015 −0.750075 0.661353i \(-0.769983\pi\)
−0.750075 + 0.661353i \(0.769983\pi\)
\(450\) −1.31316 3.93869i −0.0619032 0.185672i
\(451\) −10.8994 6.29277i −0.513233 0.296315i
\(452\) 33.3052 24.9852i 1.56654 1.17521i
\(453\) 2.03864 + 3.53102i 0.0957835 + 0.165902i
\(454\) 7.01909 34.3112i 0.329422 1.61031i
\(455\) −8.78802 + 11.1333i −0.411989 + 0.521938i
\(456\) −3.73768 2.58661i −0.175033 0.121129i
\(457\) 11.5642 + 20.0298i 0.540950 + 0.936954i 0.998850 + 0.0479496i \(0.0152687\pi\)
−0.457899 + 0.889004i \(0.651398\pi\)
\(458\) −11.2247 + 12.6598i −0.524494 + 0.591551i
\(459\) 3.88146 6.72289i 0.181171 0.313797i
\(460\) 0.530081 0.0639301i 0.0247152 0.00298076i
\(461\) 9.98126 0.464874 0.232437 0.972611i \(-0.425330\pi\)
0.232437 + 0.972611i \(0.425330\pi\)
\(462\) 1.16823 3.23654i 0.0543512 0.150577i
\(463\) 24.3501i 1.13165i 0.824527 + 0.565823i \(0.191442\pi\)
−0.824527 + 0.565823i \(0.808558\pi\)
\(464\) 11.5073 + 3.35323i 0.534211 + 0.155670i
\(465\) 1.19531 + 0.690110i 0.0554310 + 0.0320031i
\(466\) 10.4135 11.7448i 0.482394 0.544069i
\(467\) −22.6077 + 13.0525i −1.04616 + 0.604000i −0.921571 0.388209i \(-0.873094\pi\)
−0.124587 + 0.992209i \(0.539761\pi\)
\(468\) −28.9485 12.3614i −1.33815 0.571406i
\(469\) −5.04595 0.734828i −0.233000 0.0339312i
\(470\) −6.27262 1.28320i −0.289334 0.0591895i
\(471\) 0.473554 0.273407i 0.0218202 0.0125979i
\(472\) 9.54517 + 20.1790i 0.439352 + 0.928812i
\(473\) 9.68894 16.7817i 0.445498 0.771625i
\(474\) 1.30131 + 3.90315i 0.0597714 + 0.179278i
\(475\) 6.34185i 0.290984i
\(476\) −13.0692 23.9792i −0.599025 1.09909i
\(477\) 10.4989i 0.480710i
\(478\) −33.2951 + 11.1006i −1.52288 + 0.507731i
\(479\) −3.24704 + 5.62403i −0.148361 + 0.256969i −0.930622 0.365982i \(-0.880733\pi\)
0.782261 + 0.622951i \(0.214066\pi\)
\(480\) 0.0548340 + 1.43242i 0.00250282 + 0.0653807i
\(481\) −40.1181 + 23.1622i −1.82923 + 1.05610i
\(482\) 3.22366 15.7582i 0.146834 0.717764i
\(483\) −0.0662200 0.166282i −0.00301311 0.00756608i
\(484\) 3.99190 + 1.70459i 0.181450 + 0.0774814i
\(485\) −6.91499 + 3.99237i −0.313993 + 0.181284i
\(486\) −7.03442 6.23701i −0.319088 0.282917i
\(487\) 0.244780 + 0.141324i 0.0110921 + 0.00640400i 0.505536 0.862806i \(-0.331295\pi\)
−0.494444 + 0.869210i \(0.664628\pi\)
\(488\) −1.21539 + 14.8317i −0.0550180 + 0.671400i
\(489\) 0.303311i 0.0137162i
\(490\) 0.322569 + 9.89424i 0.0145722 + 0.446976i
\(491\) 18.1902 0.820912 0.410456 0.911880i \(-0.365370\pi\)
0.410456 + 0.911880i \(0.365370\pi\)
\(492\) −0.210448 1.74494i −0.00948771 0.0786681i
\(493\) 7.73239 13.3929i 0.348249 0.603185i
\(494\) 35.9764 + 31.8982i 1.61865 + 1.43517i
\(495\) −5.32712 9.22684i −0.239436 0.414716i
\(496\) 15.0670 + 15.7371i 0.676527 + 0.706616i
\(497\) −39.1607 + 15.5954i −1.75660 + 0.699548i
\(498\) −2.02166 0.413573i −0.0905927 0.0185327i
\(499\) −0.608016 1.05312i −0.0272185 0.0471439i 0.852095 0.523387i \(-0.175332\pi\)
−0.879314 + 0.476243i \(0.841998\pi\)
\(500\) 1.59985 1.20020i 0.0715476 0.0536744i
\(501\) −2.86656 1.65501i −0.128069 0.0739404i
\(502\) −12.0535 + 4.01866i −0.537975 + 0.179361i
\(503\) 37.9355 1.69146 0.845729 0.533612i \(-0.179166\pi\)
0.845729 + 0.533612i \(0.179166\pi\)
\(504\) −21.0061 + 6.43415i −0.935687 + 0.286600i
\(505\) −9.49950 −0.422722
\(506\) 1.29979 0.433352i 0.0577828 0.0192648i
\(507\) −3.45421 1.99429i −0.153407 0.0885695i
\(508\) 10.1311 + 13.5047i 0.449496 + 0.599176i
\(509\) 5.30256 + 9.18430i 0.235032 + 0.407087i 0.959282 0.282450i \(-0.0911473\pi\)
−0.724250 + 0.689537i \(0.757814\pi\)
\(510\) 1.81200 + 0.370684i 0.0802369 + 0.0164142i
\(511\) 3.13631 21.5365i 0.138742 0.952721i
\(512\) −5.49474 + 21.9501i −0.242835 + 0.970068i
\(513\) 4.76955 + 8.26110i 0.210581 + 0.364736i
\(514\) 2.57084 + 2.27941i 0.113395 + 0.100541i
\(515\) −3.75103 + 6.49697i −0.165290 + 0.286291i
\(516\) 2.68668 0.324025i 0.118274 0.0142644i
\(517\) −16.4299 −0.722585
\(518\) −10.9770 + 30.4113i −0.482303 + 1.33620i
\(519\) 6.26448i 0.274980i
\(520\) 1.23839 15.1125i 0.0543072 0.662725i
\(521\) −1.18563 0.684522i −0.0519432 0.0299894i 0.473803 0.880631i \(-0.342881\pi\)
−0.525747 + 0.850641i \(0.676214\pi\)
\(522\) −9.30876 8.25354i −0.407434 0.361248i
\(523\) −1.24052 + 0.716212i −0.0542439 + 0.0313178i −0.526877 0.849942i \(-0.676637\pi\)
0.472633 + 0.881259i \(0.343304\pi\)
\(524\) 4.30748 10.0875i 0.188173 0.440673i
\(525\) −0.526253 0.415394i −0.0229675 0.0181293i
\(526\) 0.652092 3.18761i 0.0284326 0.138986i
\(527\) 24.3445 14.0553i 1.06046 0.612257i
\(528\) 0.874565 + 3.57302i 0.0380606 + 0.155496i
\(529\) −11.4644 + 19.8569i −0.498451 + 0.863342i
\(530\) −4.79784 + 1.59960i −0.208405 + 0.0694824i
\(531\) 23.1700i 1.00549i
\(532\) 33.5478 + 0.824978i 1.45448 + 0.0357673i
\(533\) 18.5916i 0.805293i
\(534\) 0.624952 + 1.87448i 0.0270443 + 0.0811165i
\(535\) 3.73750 6.47354i 0.161586 0.279876i
\(536\) 4.92775 2.33095i 0.212847 0.100682i
\(537\) 2.84415 1.64207i 0.122734 0.0708606i
\(538\) 1.68799 + 0.345314i 0.0727744 + 0.0148876i
\(539\) 5.89967 + 24.7091i 0.254117 + 1.06430i
\(540\) 1.18138 2.76662i 0.0508387 0.119057i
\(541\) 1.20272 0.694390i 0.0517089 0.0298542i −0.473923 0.880566i \(-0.657162\pi\)
0.525632 + 0.850712i \(0.323829\pi\)
\(542\) −22.7223 + 25.6273i −0.976005 + 1.10079i
\(543\) 2.31887 + 1.33880i 0.0995120 + 0.0574533i
\(544\) 25.8235 + 13.6197i 1.10717 + 0.583938i
\(545\) 19.4998i 0.835279i
\(546\) −5.00341 + 0.896007i −0.214126 + 0.0383455i
\(547\) 43.0700 1.84154 0.920770 0.390106i \(-0.127562\pi\)
0.920770 + 0.390106i \(0.127562\pi\)
\(548\) 2.01771 + 16.7300i 0.0861923 + 0.714670i
\(549\) 7.72314 13.3769i 0.329616 0.570911i
\(550\) 3.40490 3.84022i 0.145185 0.163747i
\(551\) 9.50157 + 16.4572i 0.404781 + 0.701100i
\(552\) 0.157338 + 0.108884i 0.00669677 + 0.00463441i
\(553\) −23.8427 18.8201i −1.01390 0.800313i
\(554\) 2.36536 11.5625i 0.100494 0.491244i
\(555\) −1.09484 1.89631i −0.0464732 0.0804939i
\(556\) 13.9021 + 18.5314i 0.589579 + 0.785905i
\(557\) 20.0779 + 11.5920i 0.850727 + 0.491167i 0.860896 0.508781i \(-0.169904\pi\)
−0.0101693 + 0.999948i \(0.503237\pi\)
\(558\) −7.15245 21.4530i −0.302787 0.908177i
\(559\) −28.6254 −1.21073
\(560\) −6.14080 8.61920i −0.259496 0.364228i
\(561\) 4.74619 0.200384
\(562\) −8.86774 26.5978i −0.374063 1.12196i
\(563\) 20.3256 + 11.7350i 0.856620 + 0.494570i 0.862879 0.505410i \(-0.168659\pi\)
−0.00625865 + 0.999980i \(0.501992\pi\)
\(564\) −1.37690 1.83540i −0.0579778 0.0772841i
\(565\) −10.4088 18.0286i −0.437902 0.758469i
\(566\) −2.72859 + 13.3381i −0.114691 + 0.560643i
\(567\) 22.0609 + 3.21268i 0.926472 + 0.134920i
\(568\) 25.6431 37.0545i 1.07596 1.55477i
\(569\) 1.75158 + 3.03382i 0.0734300 + 0.127185i 0.900402 0.435058i \(-0.143272\pi\)
−0.826972 + 0.562242i \(0.809939\pi\)
\(570\) −1.50777 + 1.70054i −0.0631535 + 0.0712278i
\(571\) −6.67971 + 11.5696i −0.279537 + 0.484172i −0.971270 0.237981i \(-0.923514\pi\)
0.691733 + 0.722154i \(0.256848\pi\)
\(572\) −4.65906 38.6310i −0.194805 1.61524i
\(573\) 1.00358 0.0419252
\(574\) 8.36725 + 9.91784i 0.349242 + 0.413963i
\(575\) 0.266961i 0.0111331i
\(576\) 14.8977 18.1566i 0.620739 0.756526i
\(577\) −29.5233 17.0453i −1.22907 0.709604i −0.262234 0.965004i \(-0.584459\pi\)
−0.966835 + 0.255401i \(0.917793\pi\)
\(578\) 9.04064 10.1965i 0.376041 0.424118i
\(579\) −3.13613 + 1.81065i −0.130333 + 0.0752479i
\(580\) 2.35347 5.51148i 0.0977227 0.228852i
\(581\) 14.1536 5.63651i 0.587189 0.233842i
\(582\) −2.80341 0.573496i −0.116205 0.0237722i
\(583\) −11.2395 + 6.48912i −0.465492 + 0.268752i
\(584\) 9.94871 + 21.0321i 0.411681 + 0.870313i
\(585\) −7.86933 + 13.6301i −0.325357 + 0.563535i
\(586\) 0.218261 + 0.654649i 0.00901627 + 0.0270433i
\(587\) 8.77581i 0.362216i 0.983463 + 0.181108i \(0.0579684\pi\)
−0.983463 + 0.181108i \(0.942032\pi\)
\(588\) −2.26585 + 2.72979i −0.0934422 + 0.112575i
\(589\) 34.5423i 1.42329i
\(590\) 10.5884 3.53017i 0.435915 0.145335i
\(591\) 0.513425 0.889277i 0.0211195 0.0365800i
\(592\) −8.21764 33.5731i −0.337743 1.37984i
\(593\) −5.54851 + 3.20343i −0.227850 + 0.131549i −0.609580 0.792725i \(-0.708662\pi\)
0.381730 + 0.924274i \(0.375328\pi\)
\(594\) 1.54720 7.56313i 0.0634824 0.310319i
\(595\) −12.6858 + 5.05198i −0.520066 + 0.207111i
\(596\) −9.07842 + 21.2603i −0.371867 + 0.870856i
\(597\) −0.601832 + 0.347468i −0.0246313 + 0.0142209i
\(598\) −1.51443 1.34276i −0.0619297 0.0549095i
\(599\) −13.6488 7.88017i −0.557677 0.321975i 0.194536 0.980895i \(-0.437680\pi\)
−0.752213 + 0.658921i \(0.771013\pi\)
\(600\) 0.714340 + 0.0585367i 0.0291628 + 0.00238975i
\(601\) 23.5644i 0.961213i 0.876936 + 0.480606i \(0.159583\pi\)
−0.876936 + 0.480606i \(0.840417\pi\)
\(602\) −15.2704 + 12.8830i −0.622376 + 0.525072i
\(603\) −5.65816 −0.230418
\(604\) 31.9485 3.85313i 1.29997 0.156782i
\(605\) 1.08515 1.87954i 0.0441177 0.0764141i
\(606\) −2.54725 2.25850i −0.103475 0.0917453i
\(607\) 23.5467 + 40.7841i 0.955733 + 1.65538i 0.732683 + 0.680570i \(0.238268\pi\)
0.223050 + 0.974807i \(0.428399\pi\)
\(608\) −30.3597 + 19.1128i −1.23125 + 0.775126i
\(609\) −1.98799 0.289506i −0.0805575 0.0117314i
\(610\) 7.28974 + 1.49127i 0.295153 + 0.0603798i
\(611\) 12.1353 + 21.0189i 0.490941 + 0.850335i
\(612\) −18.1849 24.2403i −0.735080 0.979857i
\(613\) 28.4900 + 16.4487i 1.15070 + 0.664357i 0.949058 0.315102i \(-0.102039\pi\)
0.201642 + 0.979459i \(0.435372\pi\)
\(614\) −15.8760 + 5.29309i −0.640705 + 0.213612i
\(615\) −0.878794 −0.0354364
\(616\) −19.8715 18.5111i −0.800644 0.745835i
\(617\) 6.76738 0.272444 0.136222 0.990678i \(-0.456504\pi\)
0.136222 + 0.990678i \(0.456504\pi\)
\(618\) −2.55047 + 0.850331i −0.102595 + 0.0342053i
\(619\) 13.7468 + 7.93673i 0.552531 + 0.319004i 0.750142 0.661276i \(-0.229985\pi\)
−0.197611 + 0.980281i \(0.563318\pi\)
\(620\) 8.71396 6.53714i 0.349961 0.262538i
\(621\) −0.200775 0.347752i −0.00805682 0.0139548i
\(622\) 6.35914 + 1.30090i 0.254978 + 0.0521612i
\(623\) −11.4504 9.03830i −0.458750 0.362112i
\(624\) 3.92505 3.75791i 0.157128 0.150437i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) −21.7380 19.2738i −0.868825 0.770337i
\(627\) −2.91606 + 5.05077i −0.116456 + 0.201708i
\(628\) −0.516753 4.28470i −0.0206207 0.170978i
\(629\) −44.5964 −1.77817
\(630\) 1.93633 + 10.8127i 0.0771452 + 0.430788i
\(631\) 18.6006i 0.740479i −0.928936 0.370240i \(-0.879276\pi\)
0.928936 0.370240i \(-0.120724\pi\)
\(632\) 32.3643 + 2.65210i 1.28738 + 0.105495i
\(633\) 0.529130 + 0.305493i 0.0210310 + 0.0121423i
\(634\) 8.26395 + 7.32716i 0.328203 + 0.290999i
\(635\) 7.31032 4.22062i 0.290101 0.167490i
\(636\) −1.66682 0.711755i −0.0660939 0.0282229i
\(637\) 27.2530 25.7979i 1.07980 1.02215i
\(638\) 3.08223 15.0668i 0.122027 0.596499i
\(639\) −40.5063 + 23.3863i −1.60241 + 0.925149i
\(640\) 10.5671 + 4.04172i 0.417703 + 0.159763i
\(641\) −3.77857 + 6.54468i −0.149245 + 0.258499i −0.930948 0.365151i \(-0.881018\pi\)
0.781704 + 0.623650i \(0.214351\pi\)
\(642\) 2.54128 0.847264i 0.100296 0.0334389i
\(643\) 21.9243i 0.864609i 0.901728 + 0.432305i \(0.142299\pi\)
−0.901728 + 0.432305i \(0.857701\pi\)
\(644\) −1.41220 0.0347276i −0.0556485 0.00136846i
\(645\) 1.35307i 0.0532772i
\(646\) 14.6401 + 43.9114i 0.576007 + 1.72767i
\(647\) 11.3244 19.6144i 0.445207 0.771120i −0.552860 0.833274i \(-0.686464\pi\)
0.998067 + 0.0621538i \(0.0197969\pi\)
\(648\) −21.5442 + 10.1909i −0.846335 + 0.400338i
\(649\) 24.8044 14.3208i 0.973659 0.562143i
\(650\) −7.42773 1.51950i −0.291339 0.0595997i
\(651\) −2.86635 2.26254i −0.112341 0.0886759i
\(652\) −2.20158 0.940102i −0.0862204 0.0368172i
\(653\) 3.05556 1.76413i 0.119573 0.0690357i −0.439020 0.898477i \(-0.644674\pi\)
0.558594 + 0.829441i \(0.311341\pi\)
\(654\) −4.63606 + 5.22878i −0.181284 + 0.204462i
\(655\) −4.74957 2.74216i −0.185581 0.107145i
\(656\) −13.3179 3.88086i −0.519977 0.151522i
\(657\) 24.1495i 0.942162i
\(658\) 15.9333 + 5.75116i 0.621146 + 0.224204i
\(659\) 37.5143 1.46135 0.730676 0.682725i \(-0.239205\pi\)
0.730676 + 0.682725i \(0.239205\pi\)
\(660\) 1.82602 0.220226i 0.0710777 0.00857227i
\(661\) 14.6573 25.3871i 0.570102 0.987445i −0.426453 0.904510i \(-0.640237\pi\)
0.996555 0.0829357i \(-0.0264296\pi\)
\(662\) 11.9178 13.4415i 0.463199 0.522419i
\(663\) −3.50558 6.07185i −0.136146 0.235811i
\(664\) −9.26798 + 13.3923i −0.359667 + 0.519723i
\(665\) 2.41797 16.6038i 0.0937648 0.643868i
\(666\) −7.19031 + 35.1482i −0.278619 + 1.36196i
\(667\) −0.399971 0.692769i −0.0154869 0.0268241i
\(668\) −20.8977 + 15.6772i −0.808555 + 0.606571i
\(669\) −4.36368 2.51937i −0.168710 0.0974046i
\(670\) −0.862076 2.58570i −0.0333049 0.0998943i
\(671\) 19.0940 0.737116
\(672\) 0.402578 3.77117i 0.0155298 0.145476i
\(673\) −16.3062 −0.628558 −0.314279 0.949331i \(-0.601763\pi\)
−0.314279 + 0.949331i \(0.601763\pi\)
\(674\) −6.20798 18.6201i −0.239122 0.717221i
\(675\) −1.30263 0.752075i −0.0501383 0.0289474i
\(676\) −25.1817 + 18.8911i −0.968527 + 0.726580i
\(677\) −17.9655 31.1171i −0.690469 1.19593i −0.971684 0.236282i \(-0.924071\pi\)
0.281216 0.959645i \(-0.409262\pi\)
\(678\) 1.49521 7.30898i 0.0574231 0.280700i
\(679\) 19.6265 7.81607i 0.753198 0.299953i
\(680\) 8.30685 12.0035i 0.318553 0.460313i
\(681\) −3.13766 5.43459i −0.120236 0.208254i
\(682\) 18.5456 20.9166i 0.710146 0.800939i
\(683\) 13.9429 24.1497i 0.533509 0.924064i −0.465725 0.884929i \(-0.654206\pi\)
0.999234 0.0391349i \(-0.0124602\pi\)
\(684\) 36.9687 4.45859i 1.41353 0.170478i
\(685\) 8.42562 0.321926
\(686\) 2.92787 26.0274i 0.111786 0.993732i
\(687\) 3.03166i 0.115665i
\(688\) 5.97533 20.5055i 0.227807 0.781765i
\(689\) 16.6032 + 9.58587i 0.632532 + 0.365193i
\(690\) 0.0634699 0.0715845i 0.00241626 0.00272518i
\(691\) 20.9094 12.0721i 0.795432 0.459243i −0.0464394 0.998921i \(-0.514787\pi\)
0.841871 + 0.539678i \(0.181454\pi\)
\(692\) 45.4706 + 19.4165i 1.72853 + 0.738106i
\(693\) 10.4292 + 26.1882i 0.396172 + 0.994807i
\(694\) 17.8321 + 3.64793i 0.676896 + 0.138473i
\(695\) 10.0313 5.79158i 0.380510 0.219687i
\(696\) 1.94143 0.918344i 0.0735895 0.0348097i
\(697\) −8.94907 + 15.5002i −0.338970 + 0.587113i
\(698\) 9.41674 + 28.2445i 0.356429 + 1.06907i
\(699\) 2.81256i 0.106381i
\(700\) −4.64623 + 2.53229i −0.175611 + 0.0957118i
\(701\) 14.4688i 0.546481i −0.961946 0.273240i \(-0.911905\pi\)
0.961946 0.273240i \(-0.0880954\pi\)
\(702\) −10.8184 + 3.60686i −0.408313 + 0.136132i
\(703\) 27.4001 47.4583i 1.03341 1.78992i
\(704\) 28.6454 + 4.72645i 1.07961 + 0.178135i
\(705\) −0.993528 + 0.573614i −0.0374184 + 0.0216035i
\(706\) −8.45976 + 41.3536i −0.318387 + 1.55636i
\(707\) 24.8710 + 3.62189i 0.935369 + 0.136215i
\(708\) 3.67852 + 1.57077i 0.138247 + 0.0590333i
\(709\) −16.2208 + 9.36506i −0.609183 + 0.351712i −0.772646 0.634837i \(-0.781067\pi\)
0.163462 + 0.986550i \(0.447734\pi\)
\(710\) −16.8588 14.9477i −0.632698 0.560977i
\(711\) −29.1897 16.8527i −1.09470 0.632025i
\(712\) 15.5429 + 1.27366i 0.582493 + 0.0477326i
\(713\) 1.45407i 0.0544552i
\(714\) −4.60274 1.66137i −0.172253 0.0621751i
\(715\) −19.4555 −0.727593
\(716\) −3.10360 25.7337i −0.115987 0.961715i
\(717\) −3.14439 + 5.44624i −0.117429 + 0.203394i
\(718\) 20.2033 + 17.9131i 0.753980 + 0.668510i
\(719\) 14.8589 + 25.7364i 0.554145 + 0.959807i 0.997970 + 0.0636936i \(0.0202880\pi\)
−0.443824 + 0.896114i \(0.646379\pi\)
\(720\) −8.12110 8.48229i −0.302656 0.316116i
\(721\) 12.2978 15.5798i 0.457994 0.580221i
\(722\) −29.3994 6.01427i −1.09413 0.223828i
\(723\) −1.44104 2.49595i −0.0535928 0.0928255i
\(724\) 16.9049 12.6819i 0.628265 0.471319i
\(725\) −2.59502 1.49823i −0.0963765 0.0556430i
\(726\) 0.737838 0.245996i 0.0273837 0.00912977i
\(727\) −7.23594 −0.268366 −0.134183 0.990957i \(-0.542841\pi\)
−0.134183 + 0.990957i \(0.542841\pi\)
\(728\) −9.00424 + 39.0943i −0.333719 + 1.44893i
\(729\) 23.5941 0.873854
\(730\) 11.0360 3.67941i 0.408460 0.136181i
\(731\) −23.8656 13.7788i −0.882702 0.509628i
\(732\) 1.60016 + 2.13301i 0.0591438 + 0.0788383i
\(733\) 11.4471 + 19.8270i 0.422810 + 0.732328i 0.996213 0.0869452i \(-0.0277105\pi\)
−0.573403 + 0.819273i \(0.694377\pi\)
\(734\) 13.6011 + 2.78240i 0.502027 + 0.102700i
\(735\) 1.21942 + 1.28820i 0.0449791 + 0.0475161i
\(736\) 1.27800 0.804556i 0.0471076 0.0296563i
\(737\) −3.49719 6.05730i −0.128821 0.223124i
\(738\) 10.7735 + 9.55223i 0.396578 + 0.351622i
\(739\) −19.9700 + 34.5891i −0.734610 + 1.27238i 0.220284 + 0.975436i \(0.429301\pi\)
−0.954894 + 0.296946i \(0.904032\pi\)
\(740\) −17.1577 + 2.06930i −0.630731 + 0.0760689i
\(741\) 8.61534 0.316492
\(742\) 13.1713 2.35870i 0.483533 0.0865906i
\(743\) 7.99702i 0.293382i −0.989182 0.146691i \(-0.953138\pi\)
0.989182 0.146691i \(-0.0468623\pi\)
\(744\) 3.89081 + 0.318833i 0.142644 + 0.0116890i
\(745\) 10.0102 + 5.77937i 0.366744 + 0.211740i
\(746\) −24.7954 21.9846i −0.907823 0.804915i
\(747\) 14.6399 8.45234i 0.535645 0.309255i
\(748\) 14.7106 34.4501i 0.537874 1.25962i
\(749\) −12.2535 + 15.5236i −0.447732 + 0.567220i
\(750\) 0.0718241 0.351096i 0.00262264 0.0128202i
\(751\) −11.9662 + 6.90868i −0.436652 + 0.252101i −0.702177 0.712003i \(-0.747788\pi\)
0.265524 + 0.964104i \(0.414455\pi\)
\(752\) −17.5898 + 4.30544i −0.641435 + 0.157003i
\(753\) −1.13833 + 1.97165i −0.0414832 + 0.0718509i
\(754\) −21.5516 + 7.18535i −0.784865 + 0.261675i
\(755\) 16.0900i 0.585576i
\(756\) −4.14786 + 6.79297i −0.150856 + 0.247058i
\(757\) 10.8579i 0.394636i 0.980340 + 0.197318i \(0.0632232\pi\)
−0.980340 + 0.197318i \(0.936777\pi\)
\(758\) −4.79766 14.3900i −0.174259 0.522670i
\(759\) 0.122752 0.212613i 0.00445562 0.00771736i
\(760\) 7.67006 + 16.2149i 0.278222 + 0.588176i
\(761\) −39.6101 + 22.8689i −1.43586 + 0.828996i −0.997559 0.0698299i \(-0.977754\pi\)
−0.438305 + 0.898826i \(0.644421\pi\)
\(762\) 2.96368 + 0.606284i 0.107363 + 0.0219634i
\(763\) 7.43472 51.0531i 0.269155 1.84825i
\(764\) 3.11057 7.28448i 0.112536 0.263543i
\(765\) −13.1217 + 7.57580i −0.474415 + 0.273904i
\(766\) −1.31478 + 1.48287i −0.0475048 + 0.0535783i
\(767\) −36.6416 21.1551i −1.32305 0.763865i
\(768\) 1.87262 + 3.59610i 0.0675723 + 0.129763i
\(769\) 5.29591i 0.190976i −0.995431 0.0954878i \(-0.969559\pi\)
0.995431 0.0954878i \(-0.0304411\pi\)
\(770\) −10.3787 + 8.75602i −0.374021 + 0.315545i
\(771\) 0.615644 0.0221719
\(772\) 3.42222 + 28.3756i 0.123168 + 1.02126i
\(773\) −8.85880 + 15.3439i −0.318629 + 0.551882i −0.980202 0.197999i \(-0.936556\pi\)
0.661573 + 0.749881i \(0.269889\pi\)