Properties

Label 546.2.bu.b.71.13
Level $546$
Weight $2$
Character 546.71
Analytic conductor $4.360$
Analytic rank $0$
Dimension $56$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.bu (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(14\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 71.13
Character \(\chi\) \(=\) 546.71
Dual form 546.2.bu.b.323.13

$q$-expansion

\(f(q)\) \(=\) \(q+(0.965926 - 0.258819i) q^{2} +(1.18291 - 1.26520i) q^{3} +(0.866025 - 0.500000i) q^{4} +(2.02216 + 2.02216i) q^{5} +(0.815146 - 1.52825i) q^{6} +(0.258819 - 0.965926i) q^{7} +(0.707107 - 0.707107i) q^{8} +(-0.201451 - 2.99323i) q^{9} +O(q^{10})\) \(q+(0.965926 - 0.258819i) q^{2} +(1.18291 - 1.26520i) q^{3} +(0.866025 - 0.500000i) q^{4} +(2.02216 + 2.02216i) q^{5} +(0.815146 - 1.52825i) q^{6} +(0.258819 - 0.965926i) q^{7} +(0.707107 - 0.707107i) q^{8} +(-0.201451 - 2.99323i) q^{9} +(2.47663 + 1.42988i) q^{10} +(0.522859 + 1.95134i) q^{11} +(0.391831 - 1.68715i) q^{12} +(-2.79511 + 2.27758i) q^{13} -1.00000i q^{14} +(4.95046 - 0.166400i) q^{15} +(0.500000 - 0.866025i) q^{16} +(-0.857349 - 1.48497i) q^{17} +(-0.969291 - 2.83910i) q^{18} +(0.291822 + 0.0781935i) q^{19} +(2.76232 + 0.740161i) q^{20} +(-0.915928 - 1.47006i) q^{21} +(1.01009 + 1.74952i) q^{22} +(-0.189549 + 0.328309i) q^{23} +(-0.0581866 - 1.73107i) q^{24} +3.17825i q^{25} +(-2.11039 + 2.92340i) q^{26} +(-4.02532 - 3.28584i) q^{27} +(-0.258819 - 0.965926i) q^{28} +(-1.49380 - 0.862444i) q^{29} +(4.73871 - 1.44200i) q^{30} +(-2.01519 + 2.01519i) q^{31} +(0.258819 - 0.965926i) q^{32} +(3.08732 + 1.64673i) q^{33} +(-1.21247 - 1.21247i) q^{34} +(2.47663 - 1.42988i) q^{35} +(-1.67108 - 2.49149i) q^{36} +(-8.36414 + 2.24116i) q^{37} +0.302116 q^{38} +(-0.424771 + 6.23054i) q^{39} +2.85976 q^{40} +(1.95720 - 0.524430i) q^{41} +(-1.26520 - 1.18291i) q^{42} +(5.58811 - 3.22629i) q^{43} +(1.42848 + 1.42848i) q^{44} +(5.64542 - 6.46015i) q^{45} +(-0.0981179 + 0.366181i) q^{46} +(-5.62258 + 5.62258i) q^{47} +(-0.504239 - 1.65703i) q^{48} +(-0.866025 - 0.500000i) q^{49} +(0.822591 + 3.06995i) q^{50} +(-2.89295 - 0.671871i) q^{51} +(-1.28184 + 3.37000i) q^{52} -5.57228i q^{53} +(-4.73860 - 2.13205i) q^{54} +(-2.88861 + 5.00321i) q^{55} +(-0.500000 - 0.866025i) q^{56} +(0.444129 - 0.276717i) q^{57} +(-1.66611 - 0.446434i) q^{58} +(10.1830 + 2.72854i) q^{59} +(4.20402 - 2.61934i) q^{60} +(-5.94332 - 10.2941i) q^{61} +(-1.42496 + 2.46810i) q^{62} +(-2.94338 - 0.580118i) q^{63} -1.00000i q^{64} +(-10.2578 - 1.04652i) q^{65} +(3.40833 + 0.791565i) q^{66} +(0.287524 + 1.07305i) q^{67} +(-1.48497 - 0.857349i) q^{68} +(0.191156 + 0.628177i) q^{69} +(2.02216 - 2.02216i) q^{70} +(0.436438 - 1.62881i) q^{71} +(-2.25898 - 1.97409i) q^{72} +(-8.83094 - 8.83094i) q^{73} +(-7.49908 + 4.32960i) q^{74} +(4.02111 + 3.75958i) q^{75} +(0.291822 - 0.0781935i) q^{76} +2.02017 q^{77} +(1.20228 + 6.12817i) q^{78} -3.44182 q^{79} +(2.76232 - 0.740161i) q^{80} +(-8.91884 + 1.20598i) q^{81} +(1.75478 - 1.01312i) q^{82} +(11.1986 + 11.1986i) q^{83} +(-1.52825 - 0.815146i) q^{84} +(1.26915 - 4.73654i) q^{85} +(4.56267 - 4.56267i) q^{86} +(-2.85819 + 0.869755i) q^{87} +(1.74952 + 1.01009i) q^{88} +(4.32027 + 16.1235i) q^{89} +(3.78105 - 7.70116i) q^{90} +(1.47655 + 3.28935i) q^{91} +0.379098i q^{92} +(0.165827 + 4.93341i) q^{93} +(-3.97576 + 6.88622i) q^{94} +(0.431991 + 0.748230i) q^{95} +(-0.915928 - 1.47006i) q^{96} +(11.6792 + 3.12942i) q^{97} +(-0.965926 - 0.258819i) q^{98} +(5.73546 - 1.95813i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q + 8q^{6} - 24q^{9} + O(q^{10}) \) \( 56q + 8q^{6} - 24q^{9} + 24q^{10} + 8q^{11} + 24q^{13} + 4q^{15} + 28q^{16} - 4q^{17} - 8q^{18} + 8q^{19} + 4q^{21} - 8q^{23} - 8q^{24} - 4q^{26} - 24q^{27} - 8q^{30} - 8q^{31} + 8q^{33} - 24q^{34} + 24q^{35} - 12q^{36} - 8q^{37} - 20q^{39} - 28q^{41} + 8q^{44} + 72q^{45} - 20q^{46} + 64q^{50} + 16q^{54} + 8q^{55} - 28q^{56} + 4q^{58} - 8q^{59} + 20q^{60} + 8q^{61} - 32q^{62} - 16q^{63} - 24q^{65} + 32q^{66} - 16q^{69} - 112q^{71} + 8q^{73} + 48q^{74} + 40q^{75} + 8q^{76} + 16q^{79} + 12q^{81} - 4q^{83} - 4q^{84} + 32q^{85} - 16q^{86} - 144q^{87} + 88q^{89} - 8q^{90} - 8q^{91} + 52q^{93} - 8q^{94} - 48q^{95} + 4q^{96} - 64q^{97} + 56q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{5}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.965926 0.258819i 0.683013 0.183013i
\(3\) 1.18291 1.26520i 0.682953 0.730462i
\(4\) 0.866025 0.500000i 0.433013 0.250000i
\(5\) 2.02216 + 2.02216i 0.904337 + 0.904337i 0.995808 0.0914711i \(-0.0291569\pi\)
−0.0914711 + 0.995808i \(0.529157\pi\)
\(6\) 0.815146 1.52825i 0.332782 0.623904i
\(7\) 0.258819 0.965926i 0.0978244 0.365086i
\(8\) 0.707107 0.707107i 0.250000 0.250000i
\(9\) −0.201451 2.99323i −0.0671502 0.997743i
\(10\) 2.47663 + 1.42988i 0.783179 + 0.452168i
\(11\) 0.522859 + 1.95134i 0.157648 + 0.588350i 0.998864 + 0.0476510i \(0.0151735\pi\)
−0.841216 + 0.540699i \(0.818160\pi\)
\(12\) 0.391831 1.68715i 0.113112 0.487038i
\(13\) −2.79511 + 2.27758i −0.775224 + 0.631687i
\(14\) 1.00000i 0.267261i
\(15\) 4.95046 0.166400i 1.27820 0.0429643i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) −0.857349 1.48497i −0.207938 0.360159i 0.743127 0.669150i \(-0.233342\pi\)
−0.951065 + 0.308992i \(0.900008\pi\)
\(18\) −0.969291 2.83910i −0.228464 0.669182i
\(19\) 0.291822 + 0.0781935i 0.0669486 + 0.0179388i 0.292138 0.956376i \(-0.405633\pi\)
−0.225189 + 0.974315i \(0.572300\pi\)
\(20\) 2.76232 + 0.740161i 0.617673 + 0.165505i
\(21\) −0.915928 1.47006i −0.199872 0.320793i
\(22\) 1.01009 + 1.74952i 0.215351 + 0.372999i
\(23\) −0.189549 + 0.328309i −0.0395237 + 0.0684571i −0.885111 0.465381i \(-0.845917\pi\)
0.845587 + 0.533838i \(0.179251\pi\)
\(24\) −0.0581866 1.73107i −0.0118773 0.353354i
\(25\) 3.17825i 0.635650i
\(26\) −2.11039 + 2.92340i −0.413881 + 0.573326i
\(27\) −4.02532 3.28584i −0.774674 0.632361i
\(28\) −0.258819 0.965926i −0.0489122 0.182543i
\(29\) −1.49380 0.862444i −0.277391 0.160152i 0.354851 0.934923i \(-0.384532\pi\)
−0.632242 + 0.774771i \(0.717865\pi\)
\(30\) 4.73871 1.44200i 0.865166 0.263273i
\(31\) −2.01519 + 2.01519i −0.361940 + 0.361940i −0.864527 0.502587i \(-0.832382\pi\)
0.502587 + 0.864527i \(0.332382\pi\)
\(32\) 0.258819 0.965926i 0.0457532 0.170753i
\(33\) 3.08732 + 1.64673i 0.537434 + 0.286660i
\(34\) −1.21247 1.21247i −0.207938 0.207938i
\(35\) 2.47663 1.42988i 0.418627 0.241694i
\(36\) −1.67108 2.49149i −0.278513 0.415248i
\(37\) −8.36414 + 2.24116i −1.37506 + 0.368445i −0.869323 0.494245i \(-0.835445\pi\)
−0.505733 + 0.862690i \(0.668778\pi\)
\(38\) 0.302116 0.0490098
\(39\) −0.424771 + 6.23054i −0.0680179 + 0.997684i
\(40\) 2.85976 0.452168
\(41\) 1.95720 0.524430i 0.305663 0.0819022i −0.102727 0.994710i \(-0.532757\pi\)
0.408390 + 0.912807i \(0.366090\pi\)
\(42\) −1.26520 1.18291i −0.195224 0.182527i
\(43\) 5.58811 3.22629i 0.852178 0.492005i −0.00920700 0.999958i \(-0.502931\pi\)
0.861385 + 0.507952i \(0.169597\pi\)
\(44\) 1.42848 + 1.42848i 0.215351 + 0.215351i
\(45\) 5.64542 6.46015i 0.841569 0.963022i
\(46\) −0.0981179 + 0.366181i −0.0144667 + 0.0539904i
\(47\) −5.62258 + 5.62258i −0.820137 + 0.820137i −0.986127 0.165990i \(-0.946918\pi\)
0.165990 + 0.986127i \(0.446918\pi\)
\(48\) −0.504239 1.65703i −0.0727806 0.239171i
\(49\) −0.866025 0.500000i −0.123718 0.0714286i
\(50\) 0.822591 + 3.06995i 0.116332 + 0.434157i
\(51\) −2.89295 0.671871i −0.405094 0.0940808i
\(52\) −1.28184 + 3.37000i −0.177760 + 0.467334i
\(53\) 5.57228i 0.765412i −0.923870 0.382706i \(-0.874992\pi\)
0.923870 0.382706i \(-0.125008\pi\)
\(54\) −4.73860 2.13205i −0.644842 0.290135i
\(55\) −2.88861 + 5.00321i −0.389500 + 0.674633i
\(56\) −0.500000 0.866025i −0.0668153 0.115728i
\(57\) 0.444129 0.276717i 0.0588264 0.0366520i
\(58\) −1.66611 0.446434i −0.218771 0.0586196i
\(59\) 10.1830 + 2.72854i 1.32572 + 0.355225i 0.851117 0.524975i \(-0.175925\pi\)
0.474602 + 0.880201i \(0.342592\pi\)
\(60\) 4.20402 2.61934i 0.542737 0.338155i
\(61\) −5.94332 10.2941i −0.760964 1.31803i −0.942354 0.334617i \(-0.891393\pi\)
0.181390 0.983411i \(-0.441940\pi\)
\(62\) −1.42496 + 2.46810i −0.180970 + 0.313449i
\(63\) −2.94338 0.580118i −0.370831 0.0730880i
\(64\) 1.00000i 0.125000i
\(65\) −10.2578 1.04652i −1.27232 0.129805i
\(66\) 3.40833 + 0.791565i 0.419536 + 0.0974350i
\(67\) 0.287524 + 1.07305i 0.0351267 + 0.131094i 0.981263 0.192675i \(-0.0617164\pi\)
−0.946136 + 0.323770i \(0.895050\pi\)
\(68\) −1.48497 0.857349i −0.180079 0.103969i
\(69\) 0.191156 + 0.628177i 0.0230125 + 0.0756236i
\(70\) 2.02216 2.02216i 0.241694 0.241694i
\(71\) 0.436438 1.62881i 0.0517957 0.193304i −0.935180 0.354172i \(-0.884763\pi\)
0.986976 + 0.160868i \(0.0514294\pi\)
\(72\) −2.25898 1.97409i −0.266223 0.232648i
\(73\) −8.83094 8.83094i −1.03358 1.03358i −0.999416 0.0341672i \(-0.989122\pi\)
−0.0341672 0.999416i \(-0.510878\pi\)
\(74\) −7.49908 + 4.32960i −0.871750 + 0.503305i
\(75\) 4.02111 + 3.75958i 0.464318 + 0.434119i
\(76\) 0.291822 0.0781935i 0.0334743 0.00896941i
\(77\) 2.02017 0.230220
\(78\) 1.20228 + 6.12817i 0.136132 + 0.693879i
\(79\) −3.44182 −0.387235 −0.193618 0.981077i \(-0.562022\pi\)
−0.193618 + 0.981077i \(0.562022\pi\)
\(80\) 2.76232 0.740161i 0.308837 0.0827526i
\(81\) −8.91884 + 1.20598i −0.990982 + 0.133997i
\(82\) 1.75478 1.01312i 0.193783 0.111880i
\(83\) 11.1986 + 11.1986i 1.22920 + 1.22920i 0.964266 + 0.264935i \(0.0853505\pi\)
0.264935 + 0.964266i \(0.414649\pi\)
\(84\) −1.52825 0.815146i −0.166745 0.0889397i
\(85\) 1.26915 4.73654i 0.137659 0.513750i
\(86\) 4.56267 4.56267i 0.492005 0.492005i
\(87\) −2.85819 + 0.869755i −0.306430 + 0.0932475i
\(88\) 1.74952 + 1.01009i 0.186499 + 0.107676i
\(89\) 4.32027 + 16.1235i 0.457947 + 1.70908i 0.679276 + 0.733883i \(0.262294\pi\)
−0.221328 + 0.975199i \(0.571039\pi\)
\(90\) 3.78105 7.70116i 0.398557 0.811774i
\(91\) 1.47655 + 3.28935i 0.154784 + 0.344817i
\(92\) 0.379098i 0.0395237i
\(93\) 0.165827 + 4.93341i 0.0171954 + 0.511571i
\(94\) −3.97576 + 6.88622i −0.410069 + 0.710260i
\(95\) 0.431991 + 0.748230i 0.0443213 + 0.0767668i
\(96\) −0.915928 1.47006i −0.0934815 0.150037i
\(97\) 11.6792 + 3.12942i 1.18584 + 0.317745i 0.797240 0.603663i \(-0.206293\pi\)
0.388599 + 0.921407i \(0.372959\pi\)
\(98\) −0.965926 0.258819i −0.0975732 0.0261447i
\(99\) 5.73546 1.95813i 0.576436 0.196800i
\(100\) 1.58912 + 2.75244i 0.158912 + 0.275244i
\(101\) −5.04946 + 8.74593i −0.502440 + 0.870252i 0.497556 + 0.867432i \(0.334231\pi\)
−0.999996 + 0.00282025i \(0.999102\pi\)
\(102\) −2.96827 + 0.0997724i −0.293902 + 0.00987894i
\(103\) 10.8658i 1.07064i 0.844649 + 0.535321i \(0.179809\pi\)
−0.844649 + 0.535321i \(0.820191\pi\)
\(104\) −0.365948 + 3.58693i −0.0358842 + 0.351728i
\(105\) 1.12054 4.82484i 0.109354 0.470857i
\(106\) −1.44221 5.38241i −0.140080 0.522786i
\(107\) −7.60387 4.39010i −0.735094 0.424407i 0.0851887 0.996365i \(-0.472851\pi\)
−0.820283 + 0.571958i \(0.806184\pi\)
\(108\) −5.12895 0.832962i −0.493534 0.0801518i
\(109\) 2.58339 2.58339i 0.247444 0.247444i −0.572477 0.819921i \(-0.694017\pi\)
0.819921 + 0.572477i \(0.194017\pi\)
\(110\) −1.49525 + 5.58036i −0.142567 + 0.532066i
\(111\) −7.05850 + 13.2334i −0.669963 + 1.25606i
\(112\) −0.707107 0.707107i −0.0668153 0.0668153i
\(113\) −15.4225 + 8.90419i −1.45083 + 0.837636i −0.998528 0.0542309i \(-0.982729\pi\)
−0.452299 + 0.891866i \(0.649396\pi\)
\(114\) 0.357376 0.382237i 0.0334714 0.0357998i
\(115\) −1.04719 + 0.280594i −0.0976511 + 0.0261655i
\(116\) −1.72489 −0.160152
\(117\) 7.38039 + 7.90758i 0.682318 + 0.731056i
\(118\) 10.5423 0.970494
\(119\) −1.65627 + 0.443796i −0.151830 + 0.0406828i
\(120\) 3.38284 3.61817i 0.308810 0.330292i
\(121\) 5.99195 3.45945i 0.544723 0.314496i
\(122\) −8.40512 8.40512i −0.760964 0.760964i
\(123\) 1.65168 3.09660i 0.148927 0.279211i
\(124\) −0.737612 + 2.75281i −0.0662395 + 0.247209i
\(125\) 3.68387 3.68387i 0.329495 0.329495i
\(126\) −2.99323 + 0.201451i −0.266658 + 0.0179466i
\(127\) 5.47486 + 3.16091i 0.485816 + 0.280486i 0.722837 0.691019i \(-0.242838\pi\)
−0.237021 + 0.971504i \(0.576171\pi\)
\(128\) −0.258819 0.965926i −0.0228766 0.0853766i
\(129\) 2.52832 10.8865i 0.222606 0.958501i
\(130\) −10.1791 + 1.64404i −0.892767 + 0.144192i
\(131\) 12.2718i 1.07219i 0.844158 + 0.536094i \(0.180101\pi\)
−0.844158 + 0.536094i \(0.819899\pi\)
\(132\) 3.49706 0.117547i 0.304380 0.0102311i
\(133\) 0.151058 0.261640i 0.0130984 0.0226871i
\(134\) 0.555454 + 0.962074i 0.0479839 + 0.0831106i
\(135\) −1.49535 14.7843i −0.128699 1.27243i
\(136\) −1.65627 0.443796i −0.142024 0.0380552i
\(137\) −7.37915 1.97724i −0.630443 0.168927i −0.0705722 0.997507i \(-0.522483\pi\)
−0.559871 + 0.828580i \(0.689149\pi\)
\(138\) 0.347227 + 0.557297i 0.0295579 + 0.0474403i
\(139\) 6.19143 + 10.7239i 0.525151 + 0.909588i 0.999571 + 0.0292891i \(0.00932436\pi\)
−0.474420 + 0.880298i \(0.657342\pi\)
\(140\) 1.42988 2.47663i 0.120847 0.209313i
\(141\) 0.462672 + 13.7647i 0.0389640 + 1.15919i
\(142\) 1.68627i 0.141508i
\(143\) −5.90577 4.26334i −0.493865 0.356519i
\(144\) −2.69294 1.32215i −0.224411 0.110179i
\(145\) −1.27669 4.76469i −0.106024 0.395686i
\(146\) −10.8156 6.24442i −0.895109 0.516792i
\(147\) −1.65703 + 0.504239i −0.136669 + 0.0415889i
\(148\) −6.12297 + 6.12297i −0.503305 + 0.503305i
\(149\) 2.44718 9.13300i 0.200481 0.748204i −0.790299 0.612721i \(-0.790075\pi\)
0.990780 0.135483i \(-0.0432586\pi\)
\(150\) 4.85715 + 2.59073i 0.396584 + 0.211533i
\(151\) −7.01021 7.01021i −0.570483 0.570483i 0.361780 0.932263i \(-0.382169\pi\)
−0.932263 + 0.361780i \(0.882169\pi\)
\(152\) 0.261640 0.151058i 0.0212218 0.0122524i
\(153\) −4.27215 + 2.86539i −0.345383 + 0.231653i
\(154\) 1.95134 0.522859i 0.157243 0.0421332i
\(155\) −8.15008 −0.654630
\(156\) 2.74740 + 5.60819i 0.219968 + 0.449014i
\(157\) −0.463646 −0.0370030 −0.0185015 0.999829i \(-0.505890\pi\)
−0.0185015 + 0.999829i \(0.505890\pi\)
\(158\) −3.32455 + 0.890810i −0.264487 + 0.0708690i
\(159\) −7.05004 6.59150i −0.559104 0.522740i
\(160\) 2.47663 1.42988i 0.195795 0.113042i
\(161\) 0.268063 + 0.268063i 0.0211263 + 0.0211263i
\(162\) −8.30280 + 3.47325i −0.652330 + 0.272884i
\(163\) 4.54012 16.9440i 0.355610 1.32715i −0.524105 0.851653i \(-0.675600\pi\)
0.879715 0.475501i \(-0.157733\pi\)
\(164\) 1.43277 1.43277i 0.111880 0.111880i
\(165\) 2.91309 + 9.57301i 0.226784 + 0.745258i
\(166\) 13.7154 + 7.91858i 1.06452 + 0.614601i
\(167\) −2.79734 10.4398i −0.216464 0.807856i −0.985646 0.168826i \(-0.946002\pi\)
0.769181 0.639030i \(-0.220664\pi\)
\(168\) −1.68715 0.391831i −0.130166 0.0302304i
\(169\) 2.62526 12.7322i 0.201943 0.979397i
\(170\) 4.90363i 0.376091i
\(171\) 0.175263 0.889242i 0.0134027 0.0680021i
\(172\) 3.22629 5.58811i 0.246003 0.426089i
\(173\) 11.1989 + 19.3970i 0.851435 + 1.47473i 0.879913 + 0.475135i \(0.157601\pi\)
−0.0284775 + 0.999594i \(0.509066\pi\)
\(174\) −2.53569 + 1.57987i −0.192230 + 0.119770i
\(175\) 3.06995 + 0.822591i 0.232067 + 0.0621821i
\(176\) 1.95134 + 0.522859i 0.147087 + 0.0394120i
\(177\) 15.4978 9.65595i 1.16488 0.725786i
\(178\) 8.34611 + 14.4559i 0.625568 + 1.08351i
\(179\) 9.41345 16.3046i 0.703594 1.21866i −0.263602 0.964631i \(-0.584911\pi\)
0.967196 0.254030i \(-0.0817561\pi\)
\(180\) 1.65900 8.41736i 0.123655 0.627393i
\(181\) 15.4967i 1.15186i −0.817498 0.575931i \(-0.804640\pi\)
0.817498 0.575931i \(-0.195360\pi\)
\(182\) 2.27758 + 2.79511i 0.168825 + 0.207187i
\(183\) −20.0545 4.65755i −1.48247 0.344296i
\(184\) 0.0981179 + 0.366181i 0.00723335 + 0.0269952i
\(185\) −21.4456 12.3816i −1.57671 0.910315i
\(186\) 1.43704 + 4.72239i 0.105369 + 0.346262i
\(187\) 2.44941 2.44941i 0.179118 0.179118i
\(188\) −2.05801 + 7.68058i −0.150095 + 0.560164i
\(189\) −4.21571 + 3.03773i −0.306648 + 0.220962i
\(190\) 0.610927 + 0.610927i 0.0443213 + 0.0443213i
\(191\) 2.01002 1.16049i 0.145440 0.0839699i −0.425514 0.904952i \(-0.639907\pi\)
0.570954 + 0.820982i \(0.306573\pi\)
\(192\) −1.26520 1.18291i −0.0913078 0.0853691i
\(193\) 9.43371 2.52775i 0.679053 0.181952i 0.0972236 0.995263i \(-0.469004\pi\)
0.581829 + 0.813311i \(0.302337\pi\)
\(194\) 12.0912 0.868094
\(195\) −13.4581 + 11.7402i −0.963753 + 0.840731i
\(196\) −1.00000 −0.0714286
\(197\) −17.0776 + 4.57593i −1.21673 + 0.326022i −0.809399 0.587259i \(-0.800207\pi\)
−0.407330 + 0.913281i \(0.633540\pi\)
\(198\) 5.03323 3.37586i 0.357696 0.239912i
\(199\) −10.2093 + 5.89437i −0.723721 + 0.417841i −0.816121 0.577881i \(-0.803880\pi\)
0.0923995 + 0.995722i \(0.470546\pi\)
\(200\) 2.24736 + 2.24736i 0.158912 + 0.158912i
\(201\) 1.69774 + 0.905551i 0.119749 + 0.0638727i
\(202\) −2.61379 + 9.75481i −0.183906 + 0.686346i
\(203\) −1.21968 + 1.21968i −0.0856047 + 0.0856047i
\(204\) −2.84130 + 0.864617i −0.198931 + 0.0605353i
\(205\) 5.01825 + 2.89729i 0.350490 + 0.202355i
\(206\) 2.81228 + 10.4956i 0.195941 + 0.731262i
\(207\) 1.02089 + 0.501226i 0.0709566 + 0.0348376i
\(208\) 0.574888 + 3.55942i 0.0398613 + 0.246802i
\(209\) 0.610327i 0.0422172i
\(210\) −0.166400 4.95046i −0.0114827 0.341614i
\(211\) 6.19456 10.7293i 0.426451 0.738635i −0.570104 0.821573i \(-0.693097\pi\)
0.996555 + 0.0829377i \(0.0264302\pi\)
\(212\) −2.78614 4.82574i −0.191353 0.331433i
\(213\) −1.54450 2.47891i −0.105827 0.169852i
\(214\) −8.48102 2.27248i −0.579750 0.155344i
\(215\) 17.8241 + 4.77596i 1.21559 + 0.325718i
\(216\) −5.16978 + 0.522891i −0.351759 + 0.0355783i
\(217\) 1.42496 + 2.46810i 0.0967324 + 0.167545i
\(218\) 1.82674 3.16400i 0.123722 0.214293i
\(219\) −21.6191 + 0.726683i −1.46088 + 0.0491047i
\(220\) 5.77721i 0.389500i
\(221\) 5.77852 + 2.19798i 0.388706 + 0.147852i
\(222\) −3.39294 + 14.6093i −0.227719 + 0.980514i
\(223\) 7.26002 + 27.0948i 0.486167 + 1.81440i 0.574748 + 0.818330i \(0.305100\pi\)
−0.0885813 + 0.996069i \(0.528233\pi\)
\(224\) −0.866025 0.500000i −0.0578638 0.0334077i
\(225\) 9.51322 0.640260i 0.634215 0.0426840i
\(226\) −12.5924 + 12.5924i −0.837636 + 0.837636i
\(227\) 5.81764 21.7117i 0.386131 1.44106i −0.450246 0.892904i \(-0.648664\pi\)
0.836377 0.548155i \(-0.184670\pi\)
\(228\) 0.246269 0.461708i 0.0163096 0.0305774i
\(229\) −14.7447 14.7447i −0.974355 0.974355i 0.0253238 0.999679i \(-0.491938\pi\)
−0.999679 + 0.0253238i \(0.991938\pi\)
\(230\) −0.938886 + 0.542066i −0.0619083 + 0.0357428i
\(231\) 2.38968 2.55592i 0.157229 0.168167i
\(232\) −1.66611 + 0.446434i −0.109386 + 0.0293098i
\(233\) 22.2391 1.45693 0.728467 0.685081i \(-0.240233\pi\)
0.728467 + 0.685081i \(0.240233\pi\)
\(234\) 9.17554 + 5.72795i 0.599824 + 0.374448i
\(235\) −22.7395 −1.48336
\(236\) 10.1830 2.72854i 0.662860 0.177613i
\(237\) −4.07137 + 4.35459i −0.264464 + 0.282861i
\(238\) −1.48497 + 0.857349i −0.0962564 + 0.0555737i
\(239\) 18.1130 + 18.1130i 1.17163 + 1.17163i 0.981820 + 0.189812i \(0.0607879\pi\)
0.189812 + 0.981820i \(0.439212\pi\)
\(240\) 2.33112 4.37042i 0.150473 0.282110i
\(241\) 7.42683 27.7173i 0.478404 1.78543i −0.129681 0.991556i \(-0.541395\pi\)
0.608085 0.793872i \(-0.291938\pi\)
\(242\) 4.89241 4.89241i 0.314496 0.314496i
\(243\) −9.02438 + 12.7106i −0.578914 + 0.815389i
\(244\) −10.2941 5.94332i −0.659014 0.380482i
\(245\) −0.740161 2.76232i −0.0472872 0.176478i
\(246\) 0.793944 3.41857i 0.0506200 0.217960i
\(247\) −0.993766 + 0.446089i −0.0632318 + 0.0283839i
\(248\) 2.84992i 0.180970i
\(249\) 27.4153 0.921510i 1.73737 0.0583983i
\(250\) 2.60489 4.51180i 0.164748 0.285351i
\(251\) 4.50472 + 7.80241i 0.284336 + 0.492484i 0.972448 0.233121i \(-0.0748937\pi\)
−0.688112 + 0.725604i \(0.741560\pi\)
\(252\) −2.83910 + 0.969291i −0.178846 + 0.0610596i
\(253\) −0.739748 0.198215i −0.0465076 0.0124617i
\(254\) 6.10642 + 1.63621i 0.383151 + 0.102665i
\(255\) −4.49137 7.20863i −0.281261 0.451422i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 8.02160 13.8938i 0.500373 0.866672i −0.499626 0.866241i \(-0.666529\pi\)
1.00000 0.000431304i \(-0.000137288\pi\)
\(258\) −0.375454 11.1699i −0.0233748 0.695408i
\(259\) 8.65919i 0.538056i
\(260\) −9.40676 + 4.22257i −0.583382 + 0.261873i
\(261\) −2.28056 + 4.64501i −0.141163 + 0.287519i
\(262\) 3.17617 + 11.8536i 0.196224 + 0.732319i
\(263\) −15.8996 9.17963i −0.980410 0.566040i −0.0780162 0.996952i \(-0.524859\pi\)
−0.902394 + 0.430912i \(0.858192\pi\)
\(264\) 3.34748 1.01865i 0.206023 0.0626935i
\(265\) 11.2680 11.2680i 0.692190 0.692190i
\(266\) 0.0781935 0.291822i 0.00479435 0.0178928i
\(267\) 25.5098 + 13.6066i 1.56118 + 0.832710i
\(268\) 0.785530 + 0.785530i 0.0479839 + 0.0479839i
\(269\) 14.7600 8.52167i 0.899931 0.519575i 0.0227530 0.999741i \(-0.492757\pi\)
0.877178 + 0.480166i \(0.159424\pi\)
\(270\) −5.27086 13.8935i −0.320774 0.845535i
\(271\) 6.19365 1.65958i 0.376238 0.100813i −0.0657443 0.997837i \(-0.520942\pi\)
0.441982 + 0.897024i \(0.354276\pi\)
\(272\) −1.71470 −0.103969
\(273\) 5.90830 + 2.02288i 0.357586 + 0.122430i
\(274\) −7.63945 −0.461516
\(275\) −6.20183 + 1.66178i −0.373984 + 0.100209i
\(276\) 0.479634 + 0.448439i 0.0288706 + 0.0269929i
\(277\) 1.28867 0.744016i 0.0774289 0.0447036i −0.460786 0.887511i \(-0.652432\pi\)
0.538215 + 0.842808i \(0.319099\pi\)
\(278\) 8.75601 + 8.75601i 0.525151 + 0.525151i
\(279\) 6.43790 + 5.62598i 0.385427 + 0.336818i
\(280\) 0.740161 2.76232i 0.0442331 0.165080i
\(281\) −0.664453 + 0.664453i −0.0396379 + 0.0396379i −0.726648 0.687010i \(-0.758923\pi\)
0.687010 + 0.726648i \(0.258923\pi\)
\(282\) 4.00947 + 13.1759i 0.238760 + 0.784613i
\(283\) −4.73940 2.73629i −0.281728 0.162656i 0.352477 0.935820i \(-0.385339\pi\)
−0.634205 + 0.773165i \(0.718673\pi\)
\(284\) −0.436438 1.62881i −0.0258978 0.0966520i
\(285\) 1.45766 + 0.338535i 0.0863446 + 0.0200531i
\(286\) −6.80797 2.58955i −0.402564 0.153123i
\(287\) 2.02624i 0.119605i
\(288\) −2.94338 0.580118i −0.173440 0.0341838i
\(289\) 7.02991 12.1762i 0.413524 0.716244i
\(290\) −2.46638 4.27190i −0.144831 0.250855i
\(291\) 17.7747 11.0746i 1.04197 0.649206i
\(292\) −12.0633 3.23235i −0.705951 0.189159i
\(293\) 9.49738 + 2.54482i 0.554843 + 0.148670i 0.525336 0.850895i \(-0.323940\pi\)
0.0295069 + 0.999565i \(0.490606\pi\)
\(294\) −1.47006 + 0.915928i −0.0857356 + 0.0534180i
\(295\) 15.0742 + 26.1093i 0.877653 + 1.52014i
\(296\) −4.32960 + 7.49908i −0.251653 + 0.435875i
\(297\) 4.30711 9.57279i 0.249924 0.555470i
\(298\) 9.45517i 0.547724i
\(299\) −0.217939 1.34937i −0.0126037 0.0780362i
\(300\) 5.36218 + 1.24534i 0.309585 + 0.0718995i
\(301\) −1.67005 6.23272i −0.0962603 0.359248i
\(302\) −8.58572 4.95697i −0.494053 0.285242i
\(303\) 5.09227 + 16.7342i 0.292543 + 0.961355i
\(304\) 0.213629 0.213629i 0.0122524 0.0122524i
\(305\) 8.79803 32.8347i 0.503774 1.88011i
\(306\) −3.38496 + 3.87347i −0.193505 + 0.221431i
\(307\) −17.3442 17.3442i −0.989886 0.989886i 0.0100636 0.999949i \(-0.496797\pi\)
−0.999949 + 0.0100636i \(0.996797\pi\)
\(308\) 1.74952 1.01009i 0.0996882 0.0575550i
\(309\) 13.7474 + 12.8533i 0.782063 + 0.731198i
\(310\) −7.87238 + 2.10940i −0.447121 + 0.119806i
\(311\) −9.25725 −0.524931 −0.262465 0.964941i \(-0.584536\pi\)
−0.262465 + 0.964941i \(0.584536\pi\)
\(312\) 4.10529 + 4.70601i 0.232417 + 0.266425i
\(313\) −5.47229 −0.309312 −0.154656 0.987968i \(-0.549427\pi\)
−0.154656 + 0.987968i \(0.549427\pi\)
\(314\) −0.447848 + 0.120001i −0.0252735 + 0.00677202i
\(315\) −4.77888 7.12506i −0.269259 0.401452i
\(316\) −2.98071 + 1.72091i −0.167678 + 0.0968089i
\(317\) 2.92127 + 2.92127i 0.164075 + 0.164075i 0.784369 0.620294i \(-0.212987\pi\)
−0.620294 + 0.784369i \(0.712987\pi\)
\(318\) −8.51582 4.54222i −0.477543 0.254715i
\(319\) 0.901873 3.36583i 0.0504952 0.188451i
\(320\) 2.02216 2.02216i 0.113042 0.113042i
\(321\) −14.5490 + 4.42731i −0.812048 + 0.247109i
\(322\) 0.328309 + 0.189549i 0.0182959 + 0.0105632i
\(323\) −0.134078 0.500387i −0.00746031 0.0278423i
\(324\) −7.12095 + 5.50382i −0.395608 + 0.305768i
\(325\) −7.23871 8.88355i −0.401532 0.492771i
\(326\) 17.5417i 0.971544i
\(327\) −0.212583 6.32443i −0.0117559 0.349742i
\(328\) 1.01312 1.75478i 0.0559402 0.0968914i
\(329\) 3.97576 + 6.88622i 0.219191 + 0.379650i
\(330\) 5.29151 + 8.49285i 0.291288 + 0.467516i
\(331\) −12.6019 3.37667i −0.692662 0.185598i −0.104721 0.994502i \(-0.533395\pi\)
−0.587942 + 0.808903i \(0.700062\pi\)
\(332\) 15.2975 + 4.09896i 0.839560 + 0.224959i
\(333\) 8.39327 + 24.5843i 0.459949 + 1.34721i
\(334\) −5.40404 9.36007i −0.295696 0.512160i
\(335\) −1.58847 + 2.75131i −0.0867872 + 0.150320i
\(336\) −1.73107 + 0.0581866i −0.0944378 + 0.00317434i
\(337\) 18.5887i 1.01259i 0.862360 + 0.506295i \(0.168985\pi\)
−0.862360 + 0.506295i \(0.831015\pi\)
\(338\) −0.759519 12.9778i −0.0413124 0.705899i
\(339\) −6.97787 + 30.0454i −0.378986 + 1.63184i
\(340\) −1.26915 4.73654i −0.0688295 0.256875i
\(341\) −4.98598 2.87866i −0.270006 0.155888i
\(342\) −0.0608615 0.904304i −0.00329101 0.0488991i
\(343\) −0.707107 + 0.707107i −0.0381802 + 0.0381802i
\(344\) 1.67005 6.23272i 0.0900432 0.336046i
\(345\) −0.883725 + 1.65682i −0.0475782 + 0.0892002i
\(346\) 15.8376 + 15.8376i 0.851435 + 0.851435i
\(347\) 6.87895 3.97157i 0.369282 0.213205i −0.303863 0.952716i \(-0.598276\pi\)
0.673145 + 0.739511i \(0.264943\pi\)
\(348\) −2.04039 + 2.18232i −0.109376 + 0.116985i
\(349\) 32.6841 8.75767i 1.74954 0.468787i 0.765010 0.644018i \(-0.222734\pi\)
0.984527 + 0.175231i \(0.0560673\pi\)
\(350\) 3.17825 0.169885
\(351\) 18.7350 + 0.0162933i 1.00000 + 0.000869673i
\(352\) 2.02017 0.107676
\(353\) −36.0817 + 9.66806i −1.92043 + 0.514579i −0.932120 + 0.362150i \(0.882043\pi\)
−0.988315 + 0.152428i \(0.951291\pi\)
\(354\) 12.4705 13.3380i 0.662802 0.708909i
\(355\) 4.17626 2.41116i 0.221653 0.127971i
\(356\) 11.8032 + 11.8032i 0.625568 + 0.625568i
\(357\) −1.39773 + 2.62048i −0.0739756 + 0.138691i
\(358\) 4.87276 18.1854i 0.257533 0.961128i
\(359\) 11.1657 11.1657i 0.589302 0.589302i −0.348140 0.937442i \(-0.613187\pi\)
0.937442 + 0.348140i \(0.113187\pi\)
\(360\) −0.576101 8.55993i −0.0303632 0.451148i
\(361\) −16.3754 9.45436i −0.861865 0.497598i
\(362\) −4.01084 14.9687i −0.210805 0.786736i
\(363\) 2.71104 11.6732i 0.142293 0.612685i
\(364\) 2.92340 + 2.11039i 0.153228 + 0.110614i
\(365\) 35.7151i 1.86941i
\(366\) −20.5766 + 0.691643i −1.07556 + 0.0361528i
\(367\) 1.87960 3.25556i 0.0981141 0.169939i −0.812790 0.582557i \(-0.802052\pi\)
0.910904 + 0.412618i \(0.135386\pi\)
\(368\) 0.189549 + 0.328309i 0.00988093 + 0.0171143i
\(369\) −1.96402 5.75270i −0.102243 0.299474i
\(370\) −23.9195 6.40920i −1.24351 0.333198i
\(371\) −5.38241 1.44221i −0.279441 0.0748759i
\(372\) 2.61032 + 4.18955i 0.135339 + 0.217218i
\(373\) −10.2831 17.8109i −0.532441 0.922214i −0.999283 0.0378734i \(-0.987942\pi\)
0.466842 0.884341i \(-0.345392\pi\)
\(374\) 1.73199 2.99990i 0.0895592 0.155121i
\(375\) −0.303139 9.01851i −0.0156540 0.465714i
\(376\) 7.95152i 0.410069i
\(377\) 6.13961 0.991616i 0.316206 0.0510708i
\(378\) −3.28584 + 4.02532i −0.169006 + 0.207040i
\(379\) 9.49998 + 35.4544i 0.487981 + 1.82117i 0.566243 + 0.824239i \(0.308397\pi\)
−0.0782611 + 0.996933i \(0.524937\pi\)
\(380\) 0.748230 + 0.431991i 0.0383834 + 0.0221607i
\(381\) 10.4754 3.18771i 0.536673 0.163311i
\(382\) 1.64118 1.64118i 0.0839699 0.0839699i
\(383\) 4.13925 15.4479i 0.211506 0.789351i −0.775862 0.630903i \(-0.782685\pi\)
0.987367 0.158447i \(-0.0506488\pi\)
\(384\) −1.52825 0.815146i −0.0779880 0.0415977i
\(385\) 4.08511 + 4.08511i 0.208196 + 0.208196i
\(386\) 8.45803 4.88325i 0.430502 0.248551i
\(387\) −10.7828 16.0765i −0.548119 0.817216i
\(388\) 11.6792 3.12942i 0.592919 0.158872i
\(389\) −10.4677 −0.530734 −0.265367 0.964148i \(-0.585493\pi\)
−0.265367 + 0.964148i \(0.585493\pi\)
\(390\) −9.96093 + 14.8233i −0.504391 + 0.750609i
\(391\) 0.650039 0.0328739
\(392\) −0.965926 + 0.258819i −0.0487866 + 0.0130723i
\(393\) 15.5262 + 14.5164i 0.783193 + 0.732255i
\(394\) −15.3114 + 8.84002i −0.771375 + 0.445354i
\(395\) −6.95991 6.95991i −0.350191 0.350191i
\(396\) 3.98799 4.56353i 0.200404 0.229326i
\(397\) −4.27048 + 15.9377i −0.214329 + 0.799888i 0.772072 + 0.635535i \(0.219220\pi\)
−0.986402 + 0.164353i \(0.947446\pi\)
\(398\) −8.33589 + 8.33589i −0.417841 + 0.417841i
\(399\) −0.152339 0.500616i −0.00762648 0.0250621i
\(400\) 2.75244 + 1.58912i 0.137622 + 0.0794562i
\(401\) −5.68020 21.1988i −0.283656 1.05862i −0.949816 0.312809i \(-0.898730\pi\)
0.666160 0.745809i \(-0.267937\pi\)
\(402\) 1.87427 + 0.435288i 0.0934799 + 0.0217102i
\(403\) 1.04292 10.2225i 0.0519516 0.509217i
\(404\) 10.0989i 0.502440i
\(405\) −20.4740 15.5966i −1.01736 0.775003i
\(406\) −0.862444 + 1.49380i −0.0428024 + 0.0741358i
\(407\) −8.74653 15.1494i −0.433549 0.750929i
\(408\) −2.52071 + 1.57054i −0.124794 + 0.0777533i
\(409\) 25.7839 + 6.90876i 1.27493 + 0.341616i 0.831918 0.554899i \(-0.187243\pi\)
0.443012 + 0.896516i \(0.353910\pi\)
\(410\) 5.59713 + 1.49975i 0.276422 + 0.0740672i
\(411\) −11.2305 + 6.99719i −0.553958 + 0.345146i
\(412\) 5.43291 + 9.41008i 0.267660 + 0.463601i
\(413\) 5.27113 9.12987i 0.259375 0.449251i
\(414\) 1.11583 + 0.219922i 0.0548400 + 0.0108086i
\(415\) 45.2905i 2.22322i
\(416\) 1.47655 + 3.28935i 0.0723936 + 0.161274i
\(417\) 20.8917 + 4.85199i 1.02307 + 0.237603i
\(418\) 0.157964 + 0.589531i 0.00772628 + 0.0288349i
\(419\) 23.4069 + 13.5140i 1.14350 + 0.660202i 0.947296 0.320361i \(-0.103804\pi\)
0.196207 + 0.980562i \(0.437137\pi\)
\(420\) −1.44200 4.73871i −0.0703626 0.231225i
\(421\) −9.94114 + 9.94114i −0.484502 + 0.484502i −0.906566 0.422064i \(-0.861306\pi\)
0.422064 + 0.906566i \(0.361306\pi\)
\(422\) 3.20654 11.9670i 0.156092 0.582543i
\(423\) 17.9623 + 15.6970i 0.873358 + 0.763214i
\(424\) −3.94020 3.94020i −0.191353 0.191353i
\(425\) 4.71961 2.72487i 0.228935 0.132175i
\(426\) −2.13346 1.99470i −0.103367 0.0966436i
\(427\) −11.4816 + 3.07649i −0.555634 + 0.148882i
\(428\) −8.78020 −0.424407
\(429\) −12.3800 + 2.42882i −0.597710 + 0.117264i
\(430\) 18.4529 0.889877
\(431\) −1.57681 + 0.422506i −0.0759524 + 0.0203514i −0.296595 0.955003i \(-0.595851\pi\)
0.220643 + 0.975355i \(0.429185\pi\)
\(432\) −4.85829 + 1.84311i −0.233744 + 0.0886767i
\(433\) −10.7496 + 6.20626i −0.516591 + 0.298254i −0.735539 0.677483i \(-0.763071\pi\)
0.218948 + 0.975737i \(0.429738\pi\)
\(434\) 2.01519 + 2.01519i 0.0967324 + 0.0967324i
\(435\) −7.53849 4.02092i −0.361443 0.192789i
\(436\) 0.945588 3.52898i 0.0452854 0.169008i
\(437\) −0.0809862 + 0.0809862i −0.00387410 + 0.00387410i
\(438\) −20.6944 + 6.29735i −0.988815 + 0.300899i
\(439\) 8.84119 + 5.10446i 0.421967 + 0.243623i 0.695919 0.718121i \(-0.254997\pi\)
−0.273951 + 0.961744i \(0.588331\pi\)
\(440\) 1.49525 + 5.58036i 0.0712834 + 0.266033i
\(441\) −1.32215 + 2.69294i −0.0629597 + 0.128235i
\(442\) 6.15050 + 0.627490i 0.292550 + 0.0298467i
\(443\) 22.6870i 1.07789i 0.842340 + 0.538947i \(0.181178\pi\)
−0.842340 + 0.538947i \(0.818822\pi\)
\(444\) 0.503849 + 14.9897i 0.0239116 + 0.711379i
\(445\) −23.8679 + 41.3404i −1.13145 + 1.95972i
\(446\) 14.0253 + 24.2925i 0.664116 + 1.15028i
\(447\) −8.66026 13.8997i −0.409616 0.657432i
\(448\) −0.965926 0.258819i −0.0456357 0.0122281i
\(449\) −32.8584 8.80439i −1.55068 0.415505i −0.620985 0.783823i \(-0.713267\pi\)
−0.929700 + 0.368318i \(0.879934\pi\)
\(450\) 9.02336 3.08065i 0.425365 0.145223i
\(451\) 2.04668 + 3.54495i 0.0963743 + 0.166925i
\(452\) −8.90419 + 15.4225i −0.418818 + 0.725414i
\(453\) −17.1618 + 0.576858i −0.806329 + 0.0271032i
\(454\) 22.4777i 1.05493i
\(455\) −3.66577 + 9.63739i −0.171854 + 0.451808i
\(456\) 0.118379 0.509715i 0.00554358 0.0238696i
\(457\) 0.162582 + 0.606763i 0.00760525 + 0.0283832i 0.969624 0.244600i \(-0.0786565\pi\)
−0.962019 + 0.272983i \(0.911990\pi\)
\(458\) −18.0585 10.4261i −0.843817 0.487178i
\(459\) −1.42828 + 8.79461i −0.0666663 + 0.410497i
\(460\) −0.766597 + 0.766597i −0.0357428 + 0.0357428i
\(461\) 7.28736 27.1968i 0.339406 1.26668i −0.559607 0.828758i \(-0.689048\pi\)
0.899013 0.437922i \(-0.144286\pi\)
\(462\) 1.64673 3.08732i 0.0766130 0.143635i
\(463\) 22.7070 + 22.7070i 1.05528 + 1.05528i 0.998380 + 0.0569025i \(0.0181224\pi\)
0.0569025 + 0.998380i \(0.481878\pi\)
\(464\) −1.49380 + 0.862444i −0.0693477 + 0.0400379i
\(465\) −9.64081 + 10.3115i −0.447082 + 0.478183i
\(466\) 21.4813 5.75591i 0.995104 0.266637i
\(467\) −16.0335 −0.741941 −0.370971 0.928645i \(-0.620975\pi\)
−0.370971 + 0.928645i \(0.620975\pi\)
\(468\) 10.3454 + 3.15797i 0.478216 + 0.145977i
\(469\) 1.11091 0.0512970
\(470\) −21.9646 + 5.88541i −1.01315 + 0.271474i
\(471\) −0.548452 + 0.586604i −0.0252713 + 0.0270293i
\(472\) 9.12987 5.27113i 0.420236 0.242623i
\(473\) 9.21738 + 9.21738i 0.423815 + 0.423815i
\(474\) −2.80559 + 5.25996i −0.128865 + 0.241598i
\(475\) −0.248518 + 0.927483i −0.0114028 + 0.0425558i
\(476\) −1.21247 + 1.21247i −0.0555737 + 0.0555737i
\(477\) −16.6791 + 1.12254i −0.763684 + 0.0513975i
\(478\) 22.1838 + 12.8078i 1.01466 + 0.585816i
\(479\) 2.11394 + 7.88935i 0.0965886 + 0.360474i 0.997256 0.0740366i \(-0.0235882\pi\)
−0.900667 + 0.434510i \(0.856922\pi\)
\(480\) 1.12054 4.82484i 0.0511456 0.220223i
\(481\) 18.2742 25.3143i 0.833234 1.15423i
\(482\) 28.6951i 1.30702i
\(483\) 0.656247 0.0220584i 0.0298603 0.00100369i
\(484\) 3.45945 5.99195i 0.157248 0.272361i
\(485\) 17.2889 + 29.9453i 0.785049 + 1.35975i
\(486\) −5.42712 + 14.6132i −0.246179 + 0.662869i
\(487\) 4.45680 + 1.19420i 0.201957 + 0.0541142i 0.358379 0.933576i \(-0.383329\pi\)
−0.156422 + 0.987690i \(0.549996\pi\)
\(488\) −11.4816 3.07649i −0.519748 0.139266i
\(489\) −16.0669 25.7873i −0.726571 1.16614i
\(490\) −1.42988 2.47663i −0.0645955 0.111883i
\(491\) 5.12254 8.87251i 0.231177 0.400411i −0.726978 0.686661i \(-0.759076\pi\)
0.958155 + 0.286251i \(0.0924090\pi\)
\(492\) −0.117900 3.50757i −0.00531535 0.158134i
\(493\) 2.95766i 0.133206i
\(494\) −0.844448 + 0.688094i −0.0379935 + 0.0309588i
\(495\) 15.5577 + 7.63836i 0.699265 + 0.343319i
\(496\) 0.737612 + 2.75281i 0.0331198 + 0.123605i
\(497\) −1.46035 0.843133i −0.0655056 0.0378197i
\(498\) 26.2426 7.98570i 1.17596 0.357848i
\(499\) 19.5401 19.5401i 0.874737 0.874737i −0.118247 0.992984i \(-0.537727\pi\)
0.992984 + 0.118247i \(0.0377275\pi\)
\(500\) 1.34839 5.03226i 0.0603018 0.225050i
\(501\) −16.5174 8.81016i −0.737944 0.393609i
\(502\) 6.37064 + 6.37064i 0.284336 + 0.284336i
\(503\) −8.88415 + 5.12927i −0.396125 + 0.228703i −0.684810 0.728721i \(-0.740115\pi\)
0.288686 + 0.957424i \(0.406782\pi\)
\(504\) −2.49149 + 1.67108i −0.110980 + 0.0744356i
\(505\) −27.8965 + 7.47484i −1.24138 + 0.332626i
\(506\) −0.765844 −0.0340459
\(507\) −13.0033 18.3825i −0.577495 0.816394i
\(508\) 6.32183 0.280486
\(509\) −13.4969 + 3.61649i −0.598240 + 0.160298i −0.545217 0.838295i \(-0.683553\pi\)
−0.0530237 + 0.998593i \(0.516886\pi\)
\(510\) −6.20406 5.80055i −0.274720 0.256853i
\(511\) −10.8156 + 6.24442i −0.478456 + 0.276237i
\(512\) −0.707107 0.707107i −0.0312500 0.0312500i
\(513\) −0.917747 1.27364i −0.0405195 0.0562324i
\(514\) 4.15228 15.4965i 0.183149 0.683523i
\(515\) −21.9724 + 21.9724i −0.968220 + 0.968220i
\(516\) −3.25364 10.6921i −0.143234 0.470695i
\(517\) −13.9113 8.03172i −0.611820 0.353235i
\(518\) 2.24116 + 8.36414i 0.0984711 + 0.367499i
\(519\) 37.7884 + 8.77613i 1.65872 + 0.385230i
\(520\) −7.99335 + 6.51334i −0.350532 + 0.285629i
\(521\) 30.8627i 1.35212i 0.736848 + 0.676059i \(0.236314\pi\)
−0.736848 + 0.676059i \(0.763686\pi\)
\(522\) −1.00064 + 5.07699i −0.0437968 + 0.222214i
\(523\) −1.87075 + 3.24023i −0.0818021 + 0.141685i −0.904024 0.427482i \(-0.859401\pi\)
0.822222 + 0.569167i \(0.192734\pi\)
\(524\) 6.13588 + 10.6277i 0.268047 + 0.464271i
\(525\) 4.67222 2.91105i 0.203912 0.127048i
\(526\) −17.7337 4.75172i −0.773225 0.207185i
\(527\) 4.72023 + 1.26478i 0.205617 + 0.0550948i
\(528\) 2.96977 1.85033i 0.129243 0.0805253i
\(529\) 11.4281 + 19.7941i 0.496876 + 0.860614i
\(530\) 7.96770 13.8005i 0.346095 0.599454i
\(531\) 6.11576 31.0298i 0.265401 1.34658i
\(532\) 0.302116i 0.0130984i
\(533\) −4.27615 + 5.92352i −0.185221 + 0.256576i
\(534\) 28.1623 + 6.54053i 1.21870 + 0.283036i
\(535\) −6.49876 24.2537i −0.280966 1.04858i
\(536\) 0.962074 + 0.555454i 0.0415553 + 0.0239920i
\(537\) −9.49325 31.1967i −0.409664 1.34624i
\(538\) 12.0515 12.0515i 0.519575 0.519575i
\(539\) 0.522859 1.95134i 0.0225211 0.0840500i
\(540\) −8.68718 12.0559i −0.373837 0.518805i
\(541\) 4.85285 + 4.85285i 0.208640 + 0.208640i 0.803689 0.595049i \(-0.202867\pi\)
−0.595049 + 0.803689i \(0.702867\pi\)
\(542\) 5.55308 3.20607i 0.238525 0.137713i
\(543\) −19.6064 18.3312i −0.841392 0.786668i
\(544\) −1.65627 + 0.443796i −0.0710120 + 0.0190276i
\(545\) 10.4481 0.447546
\(546\) 6.23054 + 0.424771i 0.266642 + 0.0181785i
\(547\) −23.8173 −1.01835 −0.509177 0.860662i \(-0.670050\pi\)
−0.509177 + 0.860662i \(0.670050\pi\)
\(548\) −7.37915 + 1.97724i −0.315221 + 0.0844633i
\(549\) −29.6154 + 19.8635i −1.26395 + 0.847752i
\(550\) −5.56041 + 3.21030i −0.237097 + 0.136888i
\(551\) −0.368485 0.368485i −0.0156980 0.0156980i
\(552\) 0.579356 + 0.309020i 0.0246590 + 0.0131528i
\(553\) −0.890810 + 3.32455i −0.0378811 + 0.141374i
\(554\) 1.05220 1.05220i 0.0447036 0.0447036i
\(555\) −41.0334 + 12.4866i −1.74177 + 0.530026i
\(556\) 10.7239 + 6.19143i 0.454794 + 0.262575i
\(557\) 2.27391 + 8.48636i 0.0963488 + 0.359579i 0.997221 0.0745068i \(-0.0237382\pi\)
−0.900872 + 0.434085i \(0.857072\pi\)
\(558\) 7.67464 + 3.76802i 0.324894 + 0.159513i
\(559\) −8.27122 + 21.7452i −0.349835 + 0.919724i
\(560\) 2.85976i 0.120847i
\(561\) −0.201557 5.99641i −0.00850976 0.253169i
\(562\) −0.469839 + 0.813785i −0.0198190 + 0.0343274i
\(563\) −8.08713 14.0073i −0.340832 0.590338i 0.643756 0.765231i \(-0.277375\pi\)
−0.984587 + 0.174893i \(0.944042\pi\)
\(564\) 7.28302 + 11.6892i 0.306670 + 0.492205i
\(565\) −49.1924 13.1811i −2.06954 0.554532i
\(566\) −5.28611 1.41641i −0.222192 0.0595361i
\(567\) −1.14348 + 8.92706i −0.0480217 + 0.374901i
\(568\) −0.843133 1.46035i −0.0353771 0.0612749i
\(569\) −18.2667 + 31.6389i −0.765780 + 1.32637i 0.174053 + 0.984736i \(0.444314\pi\)
−0.939833 + 0.341634i \(0.889020\pi\)
\(570\) 1.49562 0.0502722i 0.0626444 0.00210567i
\(571\) 38.5289i 1.61238i −0.591655 0.806191i \(-0.701525\pi\)
0.591655 0.806191i \(-0.298475\pi\)
\(572\) −7.24622 0.739278i −0.302980 0.0309108i
\(573\) 0.909429 3.91583i 0.0379919 0.163586i
\(574\) −0.524430 1.95720i −0.0218893 0.0816919i
\(575\) −1.04345 0.602434i −0.0435147 0.0251233i
\(576\) −2.99323 + 0.201451i −0.124718 + 0.00839377i
\(577\) −13.9447 + 13.9447i −0.580527 + 0.580527i −0.935048 0.354521i \(-0.884644\pi\)
0.354521 + 0.935048i \(0.384644\pi\)
\(578\) 3.63895 13.5807i 0.151360 0.564884i
\(579\) 7.96111 14.9256i 0.330853 0.620287i
\(580\) −3.48799 3.48799i −0.144831 0.144831i
\(581\) 13.7154 7.91858i 0.569010 0.328518i
\(582\) 14.3027 15.2977i 0.592868 0.634110i
\(583\) 10.8734 2.91352i 0.450330 0.120666i
\(584\) −12.4888 −0.516792
\(585\) −1.06605 + 30.9147i −0.0440759 + 1.27817i
\(586\) 9.83241 0.406173
\(587\) −36.5918 + 9.80474i −1.51030 + 0.404685i −0.916536 0.399952i \(-0.869027\pi\)
−0.593768 + 0.804636i \(0.702360\pi\)
\(588\) −1.18291 + 1.26520i −0.0487824 + 0.0521759i
\(589\) −0.745653 + 0.430503i −0.0307241 + 0.0177386i
\(590\) 21.3181 + 21.3181i 0.877653 + 0.877653i
\(591\) −14.4118 + 27.0195i −0.592823 + 1.11143i
\(592\) −2.24116 + 8.36414i −0.0921113 + 0.343764i
\(593\) 0.199598 0.199598i 0.00819652 0.00819652i −0.702997 0.711193i \(-0.748155\pi\)
0.711193 + 0.702997i \(0.248155\pi\)
\(594\) 1.68273 10.3614i 0.0690431 0.425132i
\(595\) −4.24667 2.45182i −0.174096 0.100515i
\(596\) −2.44718 9.13300i −0.100240 0.374102i
\(597\) −4.61919 + 19.8893i −0.189051 + 0.814017i
\(598\) −0.559756 1.24699i −0.0228901 0.0509931i
\(599\) 34.6766i 1.41685i 0.705787 + 0.708424i \(0.250593\pi\)
−0.705787 + 0.708424i \(0.749407\pi\)
\(600\) 5.50178 0.184931i 0.224609 0.00754980i
\(601\) −6.15647 + 10.6633i −0.251128 + 0.434966i −0.963837 0.266494i \(-0.914135\pi\)
0.712709 + 0.701460i \(0.247468\pi\)
\(602\) −3.22629 5.58811i −0.131494 0.227754i
\(603\) 3.15398 1.07679i 0.128440 0.0438504i
\(604\) −9.57613 2.56592i −0.389647 0.104406i
\(605\) 19.1122 + 5.12111i 0.777023 + 0.208203i
\(606\) 9.24989 + 14.8460i 0.375751 + 0.603079i
\(607\) 4.00453 + 6.93604i 0.162539 + 0.281525i 0.935778 0.352588i \(-0.114698\pi\)
−0.773240 + 0.634114i \(0.781365\pi\)
\(608\) 0.151058 0.261640i 0.00612622 0.0106109i
\(609\) 0.100365 + 2.98591i 0.00406701 + 0.120995i
\(610\) 33.9930i 1.37634i
\(611\) 2.90984 28.5216i 0.117720 1.15386i
\(612\) −2.26709 + 4.61757i −0.0916418 + 0.186654i
\(613\) 3.24659 + 12.1164i 0.131128 + 0.489378i 0.999984 0.00568791i \(-0.00181053\pi\)
−0.868855 + 0.495066i \(0.835144\pi\)
\(614\) −21.2422 12.2642i −0.857266 0.494943i
\(615\) 9.60177 2.92185i 0.387181 0.117820i
\(616\) 1.42848 1.42848i 0.0575550 0.0575550i
\(617\) 6.13143 22.8828i 0.246842 0.921227i −0.725606 0.688110i \(-0.758441\pi\)
0.972449 0.233117i \(-0.0748927\pi\)
\(618\) 16.6057 + 8.85723i 0.667977 + 0.356290i
\(619\) 0.161544 + 0.161544i 0.00649300 + 0.00649300i 0.710346 0.703853i \(-0.248539\pi\)
−0.703853 + 0.710346i \(0.748539\pi\)
\(620\) −7.05818 + 4.07504i −0.283463 + 0.163658i
\(621\) 1.84177 0.698720i 0.0739076 0.0280387i
\(622\) −8.94182 + 2.39595i −0.358534 + 0.0960690i
\(623\) 16.6922 0.668760
\(624\) 5.18342 + 3.48313i 0.207503 + 0.139437i
\(625\) 30.7900 1.23160
\(626\) −5.28583 + 1.41633i −0.211264 + 0.0566080i
\(627\) 0.772184 + 0.721962i 0.0308381 + 0.0288324i
\(628\) −0.401530 + 0.231823i −0.0160228 + 0.00925075i
\(629\) 10.4990 + 10.4990i 0.418624 + 0.418624i
\(630\) −6.46015 5.64542i −0.257378 0.224919i
\(631\) −3.08221 + 11.5030i −0.122701 + 0.457926i −0.999747 0.0224796i \(-0.992844\pi\)
0.877046 + 0.480406i \(0.159511\pi\)
\(632\) −2.43374 + 2.43374i −0.0968089 + 0.0968089i
\(633\) −6.24707 20.5291i −0.248299 0.815960i
\(634\) 3.57781 + 2.06565i 0.142093 + 0.0820374i
\(635\) 4.67917 + 17.4629i 0.185687 + 0.692994i
\(636\) −9.40126 2.18339i −0.372784 0.0865771i
\(637\) 3.55942 0.574888i 0.141030 0.0227779i
\(638\) 3.48457i 0.137955i
\(639\) −4.96332 0.978234i −0.196346 0.0386983i
\(640\) 1.42988 2.47663i 0.0565210 0.0978973i
\(641\) 11.7572 + 20.3640i 0.464381 + 0.804331i 0.999173 0.0406525i \(-0.0129437\pi\)
−0.534793 + 0.844983i \(0.679610\pi\)
\(642\) −12.9074 + 8.04202i −0.509415 + 0.317393i
\(643\) 39.9287 + 10.6989i 1.57464 + 0.421922i 0.937260 0.348631i \(-0.113353\pi\)
0.637376 + 0.770553i \(0.280020\pi\)
\(644\) 0.366181 + 0.0981179i 0.0144295 + 0.00386639i
\(645\) 27.1268 16.9015i 1.06812 0.665496i
\(646\) −0.259019 0.448634i −0.0101910 0.0176513i
\(647\) 6.50329 11.2640i 0.255671 0.442834i −0.709407 0.704799i \(-0.751037\pi\)
0.965077 + 0.261965i \(0.0843704\pi\)
\(648\) −5.45382 + 7.15932i −0.214246 + 0.281245i
\(649\) 21.2972i 0.835987i
\(650\) −9.29129 6.70733i −0.364434 0.263083i
\(651\) 4.80823 + 1.11668i 0.188449 + 0.0437663i
\(652\) −4.54012 16.9440i −0.177805 0.663577i
\(653\) 19.9695 + 11.5294i 0.781467 + 0.451180i 0.836950 0.547279i \(-0.184336\pi\)
−0.0554827 + 0.998460i \(0.517670\pi\)
\(654\) −1.84222 6.05391i −0.0720365 0.236726i
\(655\) −24.8154 + 24.8154i −0.969620 + 0.969620i
\(656\) 0.524430 1.95720i 0.0204756 0.0764158i
\(657\) −24.6540 + 28.2120i −0.961845 + 1.10066i
\(658\) 5.62258 + 5.62258i 0.219191 + 0.219191i
\(659\) −33.6049 + 19.4018i −1.30906 + 0.755786i −0.981939 0.189197i \(-0.939412\pi\)
−0.327120 + 0.944983i \(0.606078\pi\)
\(660\) 7.30932 + 6.83392i 0.284515 + 0.266010i
\(661\) −27.5411 + 7.37962i −1.07123 + 0.287034i −0.750997 0.660306i \(-0.770427\pi\)
−0.320229 + 0.947340i \(0.603760\pi\)
\(662\) −13.0464 −0.507064
\(663\) 9.61635 4.71097i 0.373468 0.182959i
\(664\) 15.8372 0.614601
\(665\) 0.834542 0.223615i 0.0323622 0.00867141i
\(666\) 14.4702 + 21.5743i 0.560707 + 0.835986i
\(667\) 0.566296 0.326951i 0.0219271 0.0126596i
\(668\) −7.64247 7.64247i −0.295696 0.295696i
\(669\) 42.8682 + 22.8653i 1.65738 + 0.884023i
\(670\) −0.822251 + 3.06868i −0.0317663 + 0.118554i
\(671\) 16.9798 16.9798i 0.655497 0.655497i
\(672\) −1.65703 + 0.504239i −0.0639213 + 0.0194514i
\(673\) −34.8701 20.1322i −1.34414 0.776041i −0.356730 0.934207i \(-0.616108\pi\)
−0.987412 + 0.158166i \(0.949442\pi\)
\(674\) 4.81110 + 17.9553i 0.185317 + 0.691612i
\(675\) 10.4432 12.7935i 0.401960 0.492421i
\(676\) −4.09254 12.3390i −0.157405 0.474577i
\(677\) 9.96090i 0.382828i −0.981509 0.191414i \(-0.938693\pi\)
0.981509 0.191414i \(-0.0613074\pi\)
\(678\) 1.03621 + 30.8276i 0.0397954 + 1.18393i
\(679\) 6.04558 10.4712i 0.232008 0.401849i
\(680\) −2.45182 4.24667i −0.0940228 0.162852i
\(681\) −20.5879 33.0435i −0.788930 1.26623i
\(682\) −5.56114 1.49010i −0.212947 0.0570590i
\(683\) −26.5474 7.11336i −1.01581 0.272185i −0.287754 0.957704i \(-0.592909\pi\)
−0.728055 + 0.685519i \(0.759575\pi\)
\(684\) −0.292839 0.857738i −0.0111970 0.0327964i
\(685\) −10.9235 18.9201i −0.417366 0.722899i
\(686\) −0.500000 + 0.866025i −0.0190901 + 0.0330650i
\(687\) −36.0965 + 1.21331i −1.37717 + 0.0462908i
\(688\) 6.45259i 0.246003i
\(689\) 12.6913 + 15.5751i 0.483500 + 0.593365i
\(690\) −0.424796 + 1.82909i −0.0161717 + 0.0696323i
\(691\) 4.12190 + 15.3832i 0.156805 + 0.585203i 0.998944 + 0.0459429i \(0.0146292\pi\)
−0.842139 + 0.539260i \(0.818704\pi\)
\(692\) 19.3970 + 11.1989i 0.737365 + 0.425718i
\(693\) −0.406965 6.04684i −0.0154593 0.229700i
\(694\) 5.61664 5.61664i 0.213205 0.213205i
\(695\) −9.16532 + 34.2054i −0.347660 + 1.29749i
\(696\) −1.40603 + 2.63605i −0.0532956 + 0.0999193i
\(697\) −2.45677 2.45677i −0.0930567 0.0930567i
\(698\) 29.3037 16.9185i 1.10916 0.640375i
\(699\) 26.3069 28.1369i 0.995017 1.06424i
\(700\) 3.06995 0.822591i 0.116033 0.0310910i
\(701\) 19.7505 0.745965 0.372982 0.927838i \(-0.378335\pi\)
0.372982 + 0.927838i \(0.378335\pi\)
\(702\) 18.1008 4.83323i 0.683172 0.182419i
\(703\) −2.61608 −0.0986675
\(704\) 1.95134 0.522859i 0.0735437 0.0197060i
\(705\) −26.8987 + 28.7699i −1.01307 + 1.08354i
\(706\) −32.3500 + 18.6773i −1.21751 + 0.702928i
\(707\) 7.14102 + 7.14102i 0.268566 + 0.268566i
\(708\) 8.59348 16.1112i 0.322963 0.605495i
\(709\) −3.84987 + 14.3679i −0.144585 + 0.539599i 0.855188 + 0.518317i \(0.173441\pi\)
−0.999774 + 0.0212816i \(0.993225\pi\)
\(710\) 3.40990 3.40990i 0.127971 0.127971i
\(711\) 0.693357 + 10.3022i 0.0260029 + 0.386361i
\(712\) 14.4559 + 8.34611i 0.541757 + 0.312784i
\(713\) −0.279628 1.04358i −0.0104721 0.0390825i
\(714\) −0.671871 + 2.89295i −0.0251442 + 0.108266i
\(715\) −3.32125 20.5636i −0.124208 0.769033i
\(716\) 18.8269i 0.703594i
\(717\) 44.3426 1.49049i 1.65600 0.0556633i
\(718\) 7.89533 13.6751i 0.294651 0.510351i
\(719\) −22.3008 38.6261i −0.831679 1.44051i −0.896706 0.442627i \(-0.854046\pi\)
0.0650264 0.997884i \(-0.479287\pi\)
\(720\) −2.77194 8.11915i −0.103304 0.302583i
\(721\) 10.4956 + 2.81228i 0.390876 + 0.104735i
\(722\) −18.2644 4.89394i −0.679732 0.182134i
\(723\) −26.2826 42.1835i −0.977460 1.56882i
\(724\) −7.74836 13.4205i −0.287965 0.498771i
\(725\) 2.74106 4.74765i 0.101800 0.176323i
\(726\) −0.402588 11.9771i −0.0149414 0.444513i
\(727\) 26.3778i 0.978297i 0.872200 + 0.489149i \(0.162692\pi\)
−0.872200 + 0.489149i \(0.837308\pi\)
\(728\) 3.37000 + 1.28184i 0.124900 + 0.0475083i
\(729\) 5.40646 + 26.4532i 0.200239 + 0.979747i
\(730\) −9.24375 34.4982i −0.342127 1.27683i
\(731\) −9.58191 5.53212i −0.354400 0.204613i
\(732\) −19.6965 + 5.99370i −0.728003 + 0.221534i
\(733\) −2.63887 + 2.63887i −0.0974689 + 0.0974689i −0.754160 0.656691i \(-0.771956\pi\)
0.656691 + 0.754160i \(0.271956\pi\)
\(734\) 0.972951 3.63110i 0.0359123 0.134026i
\(735\) −4.37042 2.33112i −0.161206 0.0859848i
\(736\) 0.268063 + 0.268063i 0.00988093 + 0.00988093i
\(737\) −1.94356 + 1.12211i −0.0715918 + 0.0413335i
\(738\) −3.38600 5.04836i −0.124641 0.185833i
\(739\) 17.6302 4.72398i 0.648536 0.173775i 0.0804689 0.996757i \(-0.474358\pi\)
0.568067 + 0.822983i \(0.307692\pi\)
\(740\) −24.7632 −0.910315
\(741\) −0.611145 + 1.78499i −0.0224510 + 0.0655734i
\(742\) −5.57228 −0.204565
\(743\) 21.0760 5.64730i 0.773203 0.207179i 0.149417 0.988774i \(-0.452260\pi\)
0.623786 + 0.781595i \(0.285594\pi\)
\(744\) 3.60571 + 3.37119i 0.132192 + 0.123594i
\(745\) 23.4169 13.5198i 0.857931 0.495326i
\(746\) −14.5426 14.5426i −0.532441 0.532441i
\(747\) 31.2639 35.7758i 1.14389 1.30897i
\(748\) 0.896545 3.34595i 0.0327809 0.122340i
\(749\) −6.20854 + 6.20854i −0.226855 + 0.226855i
\(750\) −2.62697 8.63275i −0.0959235 0.315224i
\(751\) 6.43538 + 3.71547i 0.234830 + 0.135579i 0.612798 0.790239i \(-0.290044\pi\)
−0.377968 + 0.925819i \(0.623377\pi\)
\(752\) 2.05801 + 7.68058i 0.0750477 + 0.280082i
\(753\) 15.2003 + 3.53018i 0.553929 + 0.128647i
\(754\) 5.67375 2.54687i 0.206626 0.0927517i
\(755\) 28.3515i 1.03182i
\(756\) −2.13205 + 4.73860i −0.0775419 + 0.172341i
\(757\) 3.38014 5.85457i 0.122853 0.212788i −0.798039 0.602606i \(-0.794129\pi\)
0.920892 + 0.389819i \(0.127462\pi\)
\(758\) 18.3526 + 31.7876i 0.666595 + 1.15458i
\(759\) −1.12584 + 0.701458i −0.0408653 + 0.0254613i
\(760\) 0.834542 + 0.223615i 0.0302720 + 0.00811136i
\(761\) 29.0850 + 7.79331i 1.05433 + 0.282507i 0.744040 0.668135i \(-0.232907\pi\)
0.310291 + 0.950642i \(0.399574\pi\)
\(762\) 9.29347 5.79034i 0.336667 0.209762i
\(763\) −1.82674 3.16400i −0.0661323 0.114544i
\(764\) 1.16049 2.01002i 0.0419849 0.0727201i
\(765\) −14.4332 2.84469i −0.521834 0.102850i
\(766\) 15.9928i 0.577845i
\(767\) −34.6772 + 15.5661i −1.25212 + 0.562060i
\(768\) −1.68715 0.391831i −0.0608797 0.0141390i
\(769\) −5.40679 20.1784i −0.194974 0.727653i −0.992274 0.124069i \(-0.960406\pi\)
0.797300 0.603584i \(-0.206261\pi\)
\(770\) 5.00321 + 2.88861i 0.180303 + 0.104098i
\(771\) −8.08960 26.5840i −0.291340 0.957400i
\(772\) 6.90595 6.90595i 0.248551 0.248551i
\(773\) −3.90727 + 14.5821i −0.140535 + 0.524482i 0.859379 + 0.511339i \(0.170850\pi\)
−0.999914 + <