Properties

Label 546.2.bu.a.71.4
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 71.4
Character \(\chi\) \(=\) 546.71
Dual form 546.2.bu.a.323.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.965926 + 0.258819i) q^{2} +(0.504239 - 1.65703i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-2.02216 - 2.02216i) q^{5} +(-0.0581866 + 1.73107i) q^{6} +(0.258819 - 0.965926i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(-2.49149 - 1.67108i) q^{9} +O(q^{10})\) \(q+(-0.965926 + 0.258819i) q^{2} +(0.504239 - 1.65703i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-2.02216 - 2.02216i) q^{5} +(-0.0581866 + 1.73107i) q^{6} +(0.258819 - 0.965926i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(-2.49149 - 1.67108i) 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} +(-4.37042 + 2.33112i) q^{15} +(0.500000 - 0.866025i) q^{16} +(0.857349 + 1.48497i) q^{17} +(2.83910 + 0.969291i) q^{18} +(0.291822 + 0.0781935i) q^{19} +(-2.76232 - 0.740161i) q^{20} +(-1.47006 - 0.915928i) q^{21} +(1.01009 + 1.74952i) q^{22} +(0.189549 - 0.328309i) q^{23} +(0.815146 + 1.52825i) 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} +(3.61817 - 3.38284i) q^{30} +(-2.01519 + 2.01519i) q^{31} +(-0.258819 + 0.965926i) q^{32} +(-3.49706 - 0.117547i) q^{33} +(-1.21247 - 1.21247i) q^{34} +(-2.47663 + 1.42988i) q^{35} +(-2.99323 - 0.201451i) q^{36} +(-8.36414 + 2.24116i) q^{37} -0.302116 q^{38} +(2.36461 + 5.78002i) q^{39} +2.85976 q^{40} +(-1.95720 + 0.524430i) q^{41} +(1.65703 + 0.504239i) q^{42} +(5.58811 - 3.22629i) q^{43} +(-1.42848 - 1.42848i) q^{44} +(1.65900 + 8.41736i) q^{45} +(-0.0981179 + 0.366181i) q^{46} +(5.62258 - 5.62258i) q^{47} +(-1.18291 - 1.26520i) 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} +(3.03773 - 4.21571i) q^{54} +(-2.88861 + 5.00321i) q^{55} +(0.500000 + 0.866025i) q^{56} +(0.276717 - 0.444129i) q^{57} +(-1.66611 - 0.446434i) q^{58} +(-10.1830 - 2.72854i) q^{59} +(-2.61934 + 4.20402i) q^{60} +(-5.94332 - 10.2941i) q^{61} +(1.42496 - 2.46810i) q^{62} +(-2.25898 + 1.97409i) 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} +(-0.448439 - 0.479634i) q^{69} +(2.02216 - 2.02216i) q^{70} +(-0.436438 + 1.62881i) q^{71} +(2.94338 - 0.580118i) q^{72} +(-8.83094 - 8.83094i) q^{73} +(7.49908 - 4.32960i) q^{74} +(5.26645 + 1.60260i) q^{75} +(0.291822 - 0.0781935i) q^{76} -2.02017 q^{77} +(-3.78002 - 4.97106i) q^{78} -3.44182 q^{79} +(-2.76232 + 0.740161i) q^{80} +(3.41501 + 8.32693i) q^{81} +(1.75478 - 1.01312i) q^{82} +(-11.1986 - 11.1986i) q^{83} +(-1.73107 - 0.0581866i) q^{84} +(1.26915 - 4.73654i) q^{85} +(-4.56267 + 4.56267i) q^{86} +(2.18232 - 2.04039i) 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} +(2.32310 + 4.35537i) q^{93} +(-3.97576 + 6.88622i) q^{94} +(-0.431991 - 0.748230i) q^{95} +(1.47006 + 0.915928i) q^{96} +(11.6792 + 3.12942i) q^{97} +(0.965926 + 0.258819i) q^{98} +(-1.95813 + 5.73546i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q - 8q^{6} + 24q^{9} + O(q^{10}) \) \( 56q - 8q^{6} + 24q^{9} + 24q^{10} - 8q^{11} + 24q^{13} - 4q^{15} + 28q^{16} + 4q^{17} + 8q^{19} + 4q^{21} + 8q^{23} + 8q^{24} + 4q^{26} - 24q^{27} - 16q^{30} - 8q^{31} - 32q^{33} - 24q^{34} - 24q^{35} - 12q^{36} - 8q^{37} - 60q^{39} + 28q^{41} - 8q^{44} - 40q^{45} - 20q^{46} - 64q^{50} + 8q^{54} + 8q^{55} + 28q^{56} + 40q^{57} + 4q^{58} + 8q^{59} + 4q^{60} + 8q^{61} + 32q^{62} + 24q^{65} + 32q^{66} - 56q^{69} + 112q^{71} + 16q^{72} + 8q^{73} - 48q^{74} - 40q^{75} + 8q^{76} - 8q^{78} + 16q^{79} + 12q^{81} + 4q^{83} - 4q^{84} + 32q^{85} + 16q^{86} + 144q^{87} - 88q^{89} + 8q^{90} - 8q^{91} - 76q^{93} - 8q^{94} + 48q^{95} - 4q^{96} - 64q^{97} - 40q^{99} + O(q^{100}) \)

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
\(3\) 0.504239 1.65703i 0.291122 0.956686i
\(4\) 0.866025 0.500000i 0.433013 0.250000i
\(5\) −2.02216 2.02216i −0.904337 0.904337i 0.0914711 0.995808i \(-0.470843\pi\)
−0.995808 + 0.0914711i \(0.970843\pi\)
\(6\) −0.0581866 + 1.73107i −0.0237546 + 0.706708i
\(7\) 0.258819 0.965926i 0.0978244 0.365086i
\(8\) −0.707107 + 0.707107i −0.250000 + 0.250000i
\(9\) −2.49149 1.67108i −0.830496 0.557025i
\(10\) 2.47663 + 1.42988i 0.783179 + 0.452168i
\(11\) −0.522859 1.95134i −0.157648 0.588350i −0.998864 0.0476510i \(-0.984826\pi\)
0.841216 0.540699i \(-0.181840\pi\)
\(12\) −0.391831 1.68715i −0.113112 0.487038i
\(13\) −2.79511 + 2.27758i −0.775224 + 0.631687i
\(14\) 1.00000i 0.267261i
\(15\) −4.37042 + 2.33112i −1.12844 + 0.601894i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) 0.857349 + 1.48497i 0.207938 + 0.360159i 0.951065 0.308992i \(-0.0999916\pi\)
−0.743127 + 0.669150i \(0.766658\pi\)
\(18\) 2.83910 + 0.969291i 0.669182 + 0.228464i
\(19\) 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
\(21\) −1.47006 0.915928i −0.320793 0.199872i
\(22\) 1.01009 + 1.74952i 0.215351 + 0.372999i
\(23\) 0.189549 0.328309i 0.0395237 0.0684571i −0.845587 0.533838i \(-0.820749\pi\)
0.885111 + 0.465381i \(0.154083\pi\)
\(24\) 0.815146 + 1.52825i 0.166391 + 0.311952i
\(25\) 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 0.632242 0.774771i \(-0.282135\pi\)
−0.354851 + 0.934923i \(0.615468\pi\)
\(30\) 3.61817 3.38284i 0.660584 0.617620i
\(31\) −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
\(33\) −3.49706 0.117547i −0.608761 0.0204623i
\(34\) −1.21247 1.21247i −0.207938 0.207938i
\(35\) −2.47663 + 1.42988i −0.418627 + 0.241694i
\(36\) −2.99323 0.201451i −0.498871 0.0335751i
\(37\) −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
\(39\) 2.36461 + 5.78002i 0.378641 + 0.925544i
\(40\) 2.85976 0.452168
\(41\) −1.95720 + 0.524430i −0.305663 + 0.0819022i −0.408390 0.912807i \(-0.633910\pi\)
0.102727 + 0.994710i \(0.467243\pi\)
\(42\) 1.65703 + 0.504239i 0.255685 + 0.0778057i
\(43\) 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
\(45\) 1.65900 + 8.41736i 0.247309 + 1.25479i
\(46\) −0.0981179 + 0.366181i −0.0144667 + 0.0539904i
\(47\) 5.62258 5.62258i 0.820137 0.820137i −0.165990 0.986127i \(-0.553082\pi\)
0.986127 + 0.165990i \(0.0530821\pi\)
\(48\) −1.18291 1.26520i −0.170738 0.182616i
\(49\) −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 \(0.125008\pi\)
−0.923870 + 0.382706i \(0.874992\pi\)
\(54\) 3.03773 4.21571i 0.413382 0.573686i
\(55\) −2.88861 + 5.00321i −0.389500 + 0.674633i
\(56\) 0.500000 + 0.866025i 0.0668153 + 0.115728i
\(57\) 0.276717 0.444129i 0.0366520 0.0588264i
\(58\) −1.66611 0.446434i −0.218771 0.0586196i
\(59\) −10.1830 2.72854i −1.32572 0.355225i −0.474602 0.880201i \(-0.657408\pi\)
−0.851117 + 0.524975i \(0.824075\pi\)
\(60\) −2.61934 + 4.20402i −0.338155 + 0.542737i
\(61\) −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
\(63\) −2.25898 + 1.97409i −0.284605 + 0.248711i
\(64\) 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
\(69\) −0.448439 0.479634i −0.0539857 0.0577412i
\(70\) 2.02216 2.02216i 0.241694 0.241694i
\(71\) −0.436438 + 1.62881i −0.0517957 + 0.193304i −0.986976 0.160868i \(-0.948571\pi\)
0.935180 + 0.354172i \(0.115237\pi\)
\(72\) 2.94338 0.580118i 0.346880 0.0683676i
\(73\) −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
\(75\) 5.26645 + 1.60260i 0.608117 + 0.185052i
\(76\) 0.291822 0.0781935i 0.0334743 0.00896941i
\(77\) −2.02017 −0.230220
\(78\) −3.78002 4.97106i −0.428003 0.562862i
\(79\) −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
\(81\) 3.41501 + 8.32693i 0.379446 + 0.925214i
\(82\) 1.75478 1.01312i 0.193783 0.111880i
\(83\) −11.1986 11.1986i −1.22920 1.22920i −0.964266 0.264935i \(-0.914649\pi\)
−0.264935 0.964266i \(-0.585351\pi\)
\(84\) −1.73107 0.0581866i −0.188876 0.00634868i
\(85\) 1.26915 4.73654i 0.137659 0.513750i
\(86\) −4.56267 + 4.56267i −0.492005 + 0.492005i
\(87\) 2.18232 2.04039i 0.233970 0.218752i
\(88\) 1.74952 + 1.01009i 0.186499 + 0.107676i
\(89\) −4.32027 16.1235i −0.457947 1.70908i −0.679276 0.733883i \(-0.737706\pi\)
0.221328 0.975199i \(-0.428961\pi\)
\(90\) −3.78105 7.70116i −0.398557 0.811774i
\(91\) 1.47655 + 3.28935i 0.154784 + 0.344817i
\(92\) 0.379098i 0.0395237i
\(93\) 2.32310 + 4.35537i 0.240894 + 0.451631i
\(94\) −3.97576 + 6.88622i −0.410069 + 0.710260i
\(95\) −0.431991 0.748230i −0.0443213 0.0767668i
\(96\) 1.47006 + 0.915928i 0.150037 + 0.0934815i
\(97\) 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
\(99\) −1.95813 + 5.73546i −0.196800 + 0.576436i
\(100\) 1.58912 + 2.75244i 0.158912 + 0.275244i
\(101\) 5.04946 8.74593i 0.502440 0.870252i −0.497556 0.867432i \(-0.665769\pi\)
0.999996 0.00282025i \(-0.000897715\pi\)
\(102\) −2.62048 + 1.39773i −0.259466 + 0.138396i
\(103\) 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 0.820283 0.571958i \(-0.193816\pi\)
−0.0851887 + 0.996365i \(0.527149\pi\)
\(108\) −1.84311 + 4.85829i −0.177353 + 0.467489i
\(109\) 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
\(111\) −0.503849 + 14.9897i −0.0478232 + 1.42276i
\(112\) −0.707107 0.707107i −0.0668153 0.0668153i
\(113\) 15.4225 8.90419i 1.45083 0.837636i 0.452299 0.891866i \(-0.350604\pi\)
0.998528 + 0.0542309i \(0.0172707\pi\)
\(114\) −0.152339 + 0.500616i −0.0142678 + 0.0468869i
\(115\) −1.04719 + 0.280594i −0.0976511 + 0.0261655i
\(116\) 1.72489 0.160152
\(117\) 10.7700 1.00372i 0.995685 0.0927942i
\(118\) 10.5423 0.970494
\(119\) 1.65627 0.443796i 0.151830 0.0406828i
\(120\) 1.44200 4.73871i 0.131636 0.432583i
\(121\) 5.99195 3.45945i 0.544723 0.314496i
\(122\) 8.40512 + 8.40512i 0.760964 + 0.760964i
\(123\) −0.117900 + 3.50757i −0.0106307 + 0.316267i
\(124\) −0.737612 + 2.75281i −0.0662395 + 0.247209i
\(125\) −3.68387 + 3.68387i −0.329495 + 0.329495i
\(126\) 1.67108 2.49149i 0.148871 0.221959i
\(127\) 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 \(-0.819899\pi\)
0.844158 0.536094i \(-0.180101\pi\)
\(132\) −3.08732 + 1.64673i −0.268717 + 0.143330i
\(133\) 0.151058 0.261640i 0.0130984 0.0226871i
\(134\) −0.555454 0.962074i −0.0479839 0.0831106i
\(135\) 14.7843 + 1.49535i 1.27243 + 0.128699i
\(136\) −1.65627 0.443796i −0.142024 0.0380552i
\(137\) 7.37915 + 1.97724i 0.630443 + 0.168927i 0.559871 0.828580i \(-0.310851\pi\)
0.0705722 + 0.997507i \(0.477517\pi\)
\(138\) 0.557297 + 0.347227i 0.0474403 + 0.0295579i
\(139\) 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
\(141\) −6.48165 12.1519i −0.545853 1.02337i
\(142\) 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
\(147\) −1.26520 + 1.18291i −0.104352 + 0.0975647i
\(148\) −6.12297 + 6.12297i −0.503305 + 0.503305i
\(149\) −2.44718 + 9.13300i −0.200481 + 0.748204i 0.790299 + 0.612721i \(0.209925\pi\)
−0.990780 + 0.135483i \(0.956741\pi\)
\(150\) −5.50178 0.184931i −0.449219 0.0150996i
\(151\) −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
\(153\) 0.345427 5.13248i 0.0279261 0.414937i
\(154\) 1.95134 0.522859i 0.157243 0.0421332i
\(155\) 8.15008 0.654630
\(156\) 4.93782 + 3.82334i 0.395342 + 0.306112i
\(157\) −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
\(159\) 9.23343 + 2.80976i 0.732258 + 0.222828i
\(160\) 2.47663 1.42988i 0.195795 0.113042i
\(161\) −0.268063 0.268063i −0.0211263 0.0211263i
\(162\) −5.45382 7.15932i −0.428492 0.562489i
\(163\) 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
\(165\) 6.83392 + 7.30932i 0.532020 + 0.569030i
\(166\) 13.7154 + 7.91858i 1.06452 + 0.614601i
\(167\) 2.79734 + 10.4398i 0.216464 + 0.807856i 0.985646 + 0.168826i \(0.0539975\pi\)
−0.769181 + 0.639030i \(0.779336\pi\)
\(168\) 1.68715 0.391831i 0.130166 0.0302304i
\(169\) 2.62526 12.7322i 0.201943 0.979397i
\(170\) 4.90363i 0.376091i
\(171\) −0.596404 0.682475i −0.0456081 0.0521901i
\(172\) 3.22629 5.58811i 0.246003 0.426089i
\(173\) −11.1989 19.3970i −0.851435 1.47473i −0.879913 0.475135i \(-0.842399\pi\)
0.0284775 0.999594i \(-0.490934\pi\)
\(174\) −1.57987 + 2.53569i −0.119770 + 0.192230i
\(175\) 3.06995 + 0.822591i 0.232067 + 0.0621821i
\(176\) −1.95134 0.522859i −0.147087 0.0394120i
\(177\) −9.65595 + 15.4978i −0.725786 + 1.16488i
\(178\) 8.34611 + 14.4559i 0.625568 + 1.08351i
\(179\) −9.41345 + 16.3046i −0.703594 + 1.21866i 0.263602 + 0.964631i \(0.415089\pi\)
−0.967196 + 0.254030i \(0.918244\pi\)
\(180\) 5.64542 + 6.46015i 0.420785 + 0.481511i
\(181\) 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
\(186\) −3.37119 3.60571i −0.247188 0.264383i
\(187\) 2.44941 2.44941i 0.179118 0.179118i
\(188\) 2.05801 7.68058i 0.150095 0.560164i
\(189\) 2.13205 + 4.73860i 0.155084 + 0.344683i
\(190\) 0.610927 + 0.610927i 0.0443213 + 0.0443213i
\(191\) −2.01002 + 1.16049i −0.145440 + 0.0839699i −0.570954 0.820982i \(-0.693427\pi\)
0.425514 + 0.904952i \(0.360093\pi\)
\(192\) −1.65703 0.504239i −0.119586 0.0363903i
\(193\) 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
\(195\) 6.90649 16.4697i 0.494584 1.17942i
\(196\) −1.00000 −0.0714286
\(197\) 17.0776 4.57593i 1.21673 0.326022i 0.407330 0.913281i \(-0.366460\pi\)
0.809399 + 0.587259i \(0.199793\pi\)
\(198\) 0.406965 6.04684i 0.0289217 0.429730i
\(199\) −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
\(201\) 1.92306 + 0.0646399i 0.135642 + 0.00455935i
\(202\) −2.61379 + 9.75481i −0.183906 + 0.686346i
\(203\) 1.21968 1.21968i 0.0856047 0.0856047i
\(204\) 2.16943 2.02833i 0.151891 0.142012i
\(205\) 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
\(210\) −2.33112 4.37042i −0.160863 0.301588i
\(211\) 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
\(213\) 2.47891 + 1.54450i 0.169852 + 0.105827i
\(214\) −8.48102 2.27248i −0.579750 0.155344i
\(215\) −17.8241 4.77596i −1.21559 0.325718i
\(216\) 0.522891 5.16978i 0.0355783 0.351759i
\(217\) 1.42496 + 2.46810i 0.0967324 + 0.167545i
\(218\) −1.82674 + 3.16400i −0.123722 + 0.214293i
\(219\) −19.0860 + 10.1802i −1.28971 + 0.687915i
\(220\) 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
\(225\) 5.31109 7.91856i 0.354073 0.527904i
\(226\) −12.5924 + 12.5924i −0.837636 + 0.837636i
\(227\) −5.81764 + 21.7117i −0.386131 + 1.44106i 0.450246 + 0.892904i \(0.351336\pi\)
−0.836377 + 0.548155i \(0.815330\pi\)
\(228\) 0.0175791 0.522986i 0.00116421 0.0346356i
\(229\) −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
\(231\) −1.01865 + 3.34748i −0.0670222 + 0.220248i
\(232\) −1.66611 + 0.446434i −0.109386 + 0.0293098i
\(233\) −22.2391 −1.45693 −0.728467 0.685081i \(-0.759767\pi\)
−0.728467 + 0.685081i \(0.759767\pi\)
\(234\) −10.1432 + 3.75700i −0.663083 + 0.245603i
\(235\) −22.7395 −1.48336
\(236\) −10.1830 + 2.72854i −0.662860 + 0.177613i
\(237\) −1.73550 + 5.70320i −0.112733 + 0.370463i
\(238\) −1.48497 + 0.857349i −0.0962564 + 0.0555737i
\(239\) −18.1130 18.1130i −1.17163 1.17163i −0.981820 0.189812i \(-0.939212\pi\)
−0.189812 0.981820i \(-0.560788\pi\)
\(240\) −0.166400 + 4.95046i −0.0107411 + 0.319551i
\(241\) 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
\(243\) 15.5199 1.46002i 0.995604 0.0936600i
\(244\) −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
\(249\) −24.2031 + 12.9096i −1.53381 + 0.818112i
\(250\) 2.60489 4.51180i 0.164748 0.285351i
\(251\) −4.50472 7.80241i −0.284336 0.492484i 0.688112 0.725604i \(-0.258440\pi\)
−0.972448 + 0.233121i \(0.925106\pi\)
\(252\) −0.969291 + 2.83910i −0.0610596 + 0.178846i
\(253\) −0.739748 0.198215i −0.0465076 0.0124617i
\(254\) −6.10642 1.63621i −0.383151 0.102665i
\(255\) −7.20863 4.49137i −0.451422 0.281261i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −8.02160 + 13.8938i −0.500373 + 0.866672i 0.499626 + 0.866241i \(0.333471\pi\)
−1.00000 0.000431304i \(0.999863\pi\)
\(258\) 5.25980 + 9.86115i 0.327461 + 0.613928i
\(259\) 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 0.902394 0.430912i \(-0.141808\pi\)
0.0780162 + 0.996952i \(0.475141\pi\)
\(264\) 2.55592 2.38968i 0.157306 0.147075i
\(265\) 11.2680 11.2680i 0.692190 0.692190i
\(266\) −0.0781935 + 0.291822i −0.00479435 + 0.0178928i
\(267\) −28.8955 0.971264i −1.76837 0.0594404i
\(268\) 0.785530 + 0.785530i 0.0479839 + 0.0479839i
\(269\) −14.7600 + 8.52167i −0.899931 + 0.519575i −0.877178 0.480166i \(-0.840576\pi\)
−0.0227530 + 0.999741i \(0.507243\pi\)
\(270\) −14.6676 + 2.38208i −0.892642 + 0.144968i
\(271\) 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
\(273\) 6.19508 0.788062i 0.374943 0.0476957i
\(274\) −7.63945 −0.461516
\(275\) 6.20183 1.66178i 0.373984 0.100209i
\(276\) −0.628177 0.191156i −0.0378118 0.0115062i
\(277\) 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
\(279\) 8.38837 1.65329i 0.502199 0.0989798i
\(280\) 0.740161 2.76232i 0.0442331 0.165080i
\(281\) 0.664453 0.664453i 0.0396379 0.0396379i −0.687010 0.726648i \(-0.741077\pi\)
0.726648 + 0.687010i \(0.241077\pi\)
\(282\) 9.40593 + 10.0602i 0.560115 + 0.599079i
\(283\) −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
\(288\) 2.25898 1.97409i 0.133112 0.116324i
\(289\) 7.02991 12.1762i 0.413524 0.716244i
\(290\) 2.46638 + 4.27190i 0.144831 + 0.250855i
\(291\) 11.0746 17.7747i 0.649206 1.04197i
\(292\) −12.0633 3.23235i −0.705951 0.189159i
\(293\) −9.49738 2.54482i −0.554843 0.148670i −0.0295069 0.999565i \(-0.509394\pi\)
−0.525336 + 0.850895i \(0.676060\pi\)
\(294\) 0.915928 1.47006i 0.0534180 0.0857356i
\(295\) 15.0742 + 26.1093i 0.877653 + 1.52014i
\(296\) 4.32960 7.49908i 0.251653 0.435875i
\(297\) 8.51646 + 6.13673i 0.494175 + 0.356089i
\(298\) 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
\(303\) −11.9461 12.7771i −0.686286 0.734028i
\(304\) 0.213629 0.213629i 0.0122524 0.0122524i
\(305\) −8.79803 + 32.8347i −0.503774 + 1.88011i
\(306\) 0.994728 + 5.04700i 0.0568648 + 0.288518i
\(307\) −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
\(309\) 18.0050 + 5.47897i 1.02427 + 0.311688i
\(310\) −7.87238 + 2.10940i −0.447121 + 0.119806i
\(311\) 9.25725 0.524931 0.262465 0.964941i \(-0.415464\pi\)
0.262465 + 0.964941i \(0.415464\pi\)
\(312\) −5.75912 2.41506i −0.326046 0.136726i
\(313\) −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
\(315\) 8.55993 + 0.576101i 0.482297 + 0.0324596i
\(316\) −2.98071 + 1.72091i −0.167678 + 0.0968089i
\(317\) −2.92127 2.92127i −0.164075 0.164075i 0.620294 0.784369i \(-0.287013\pi\)
−0.784369 + 0.620294i \(0.787013\pi\)
\(318\) −9.64602 0.324232i −0.540922 0.0181820i
\(319\) 0.901873 3.36583i 0.0504952 0.188451i
\(320\) −2.02216 + 2.02216i −0.113042 + 0.113042i
\(321\) 11.1087 10.3862i 0.620026 0.579700i
\(322\) 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
\(327\) −2.97811 5.58340i −0.164690 0.308763i
\(328\) 1.01312 1.75478i 0.0559402 0.0968914i
\(329\) −3.97576 6.88622i −0.219191 0.379650i
\(330\) −8.49285 5.29151i −0.467516 0.291288i
\(331\) −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
\(333\) 24.5843 + 8.39327i 1.34721 + 0.459949i
\(334\) −5.40404 9.36007i −0.295696 0.512160i
\(335\) 1.58847 2.75131i 0.0867872 0.150320i
\(336\) −1.52825 + 0.815146i −0.0833727 + 0.0444698i
\(337\) 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
\(342\) 0.752719 + 0.504859i 0.0407024 + 0.0272997i
\(343\) −0.707107 + 0.707107i −0.0381802 + 0.0381802i
\(344\) −1.67005 + 6.23272i −0.0900432 + 0.336046i
\(345\) −0.0630819 + 1.87671i −0.00339622 + 0.101039i
\(346\) 15.8376 + 15.8376i 0.851435 + 0.851435i
\(347\) −6.87895 + 3.97157i −0.369282 + 0.213205i −0.673145 0.739511i \(-0.735057\pi\)
0.303863 + 0.952716i \(0.401724\pi\)
\(348\) 0.869755 2.85819i 0.0466237 0.153215i
\(349\) 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
\(351\) 3.76745 18.3523i 0.201091 0.979572i
\(352\) 2.02017 0.107676
\(353\) 36.0817 9.66806i 1.92043 0.514579i 0.932120 0.362150i \(-0.117957\pi\)
0.988315 0.152428i \(-0.0487093\pi\)
\(354\) 5.31582 17.4688i 0.282532 0.928458i
\(355\) 4.17626 2.41116i 0.221653 0.127971i
\(356\) −11.8032 11.8032i −0.625568 0.625568i
\(357\) 0.0997724 2.96827i 0.00528052 0.157097i
\(358\) 4.87276 18.1854i 0.257533 0.961128i
\(359\) −11.1657 + 11.1657i −0.589302 + 0.589302i −0.937442 0.348140i \(-0.886813\pi\)
0.348140 + 0.937442i \(0.386813\pi\)
\(360\) −7.12506 4.77888i −0.375524 0.251869i
\(361\) −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
\(366\) 18.1657 9.68934i 0.949537 0.506470i
\(367\) 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
\(369\) 5.75270 + 1.96402i 0.299474 + 0.102243i
\(370\) −23.9195 6.40920i −1.24351 0.333198i
\(371\) 5.38241 + 1.44221i 0.279441 + 0.0748759i
\(372\) 4.18955 + 2.61032i 0.217218 + 0.135339i
\(373\) −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
\(375\) 4.24673 + 7.96183i 0.219300 + 0.411147i
\(376\) 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
\(381\) 7.99836 7.47815i 0.409768 0.383117i
\(382\) 1.64118 1.64118i 0.0839699 0.0839699i
\(383\) −4.13925 + 15.4479i −0.211506 + 0.789351i 0.775862 + 0.630903i \(0.217315\pi\)
−0.987367 + 0.158447i \(0.949351\pi\)
\(384\) 1.73107 + 0.0581866i 0.0883385 + 0.00296932i
\(385\) 4.08511 + 4.08511i 0.208196 + 0.208196i
\(386\) −8.45803 + 4.88325i −0.430502 + 0.248551i
\(387\) −19.3141 1.29988i −0.981790 0.0660765i
\(388\) 11.6792 3.12942i 0.592919 0.158872i
\(389\) 10.4677 0.530734 0.265367 0.964148i \(-0.414507\pi\)
0.265367 + 0.964148i \(0.414507\pi\)
\(390\) −2.40848 + 17.6961i −0.121958 + 0.896075i
\(391\) 0.650039 0.0328739
\(392\) 0.965926 0.258819i 0.0487866 0.0130723i
\(393\) −20.3347 6.18790i −1.02575 0.312138i
\(394\) −15.3114 + 8.84002i −0.771375 + 0.445354i
\(395\) 6.95991 + 6.95991i 0.350191 + 0.350191i
\(396\) 1.17194 + 5.94612i 0.0588921 + 0.298804i
\(397\) −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
\(399\) −0.357376 0.382237i −0.0178912 0.0191358i
\(400\) 2.75244 + 1.58912i 0.137622 + 0.0794562i
\(401\) 5.68020 + 21.1988i 0.283656 + 1.05862i 0.949816 + 0.312809i \(0.101270\pi\)
−0.666160 + 0.745809i \(0.732063\pi\)
\(402\) −1.87427 + 0.435288i −0.0934799 + 0.0217102i
\(403\) 1.04292 10.2225i 0.0519516 0.509217i
\(404\) 10.0989i 0.502440i
\(405\) 9.93267 23.7441i 0.493558 1.17985i
\(406\) −0.862444 + 1.49380i −0.0428024 + 0.0741358i
\(407\) 8.74653 + 15.1494i 0.433549 + 0.750929i
\(408\) −1.57054 + 2.52071i −0.0777533 + 0.124794i
\(409\) 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
\(411\) 6.99719 11.2305i 0.345146 0.553958i
\(412\) 5.43291 + 9.41008i 0.267660 + 0.463601i
\(413\) −5.27113 + 9.12987i −0.259375 + 0.449251i
\(414\) 0.856375 0.748373i 0.0420886 0.0367805i
\(415\) 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 −0.196207 0.980562i \(-0.562863\pi\)
−0.947296 + 0.320361i \(0.896196\pi\)
\(420\) 3.38284 + 3.61817i 0.165066 + 0.176548i
\(421\) −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
\(423\) −23.4043 + 4.61282i −1.13796 + 0.224283i
\(424\) −3.94020 3.94020i −0.191353 0.191353i
\(425\) −4.71961 + 2.72487i −0.228935 + 0.132175i
\(426\) −2.79419 0.850281i −0.135379 0.0411962i
\(427\) −11.4816 + 3.07649i −0.555634 + 0.148882i
\(428\) 8.78020 0.424407
\(429\) 10.0424 7.63629i 0.484852 0.368683i
\(430\) 18.4529 0.889877
\(431\) 1.57681 0.422506i 0.0759524 0.0203514i −0.220643 0.975355i \(-0.570815\pi\)
0.296595 + 0.955003i \(0.404149\pi\)
\(432\) 0.832962 + 5.12895i 0.0400759 + 0.246767i
\(433\) −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
\(435\) −8.53898 0.287021i −0.409413 0.0137616i
\(436\) 0.945588 3.52898i 0.0452854 0.169008i
\(437\) 0.0809862 0.0809862i 0.00387410 0.00387410i
\(438\) 15.8008 14.7732i 0.754994 0.705889i
\(439\) 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 \(-0.818822\pi\)
0.842340 0.538947i \(-0.181178\pi\)
\(444\) 7.05850 + 13.2334i 0.334982 + 0.628028i
\(445\) −23.8679 + 41.3404i −1.13145 + 1.95972i
\(446\) −14.0253 24.2925i −0.664116 1.15028i
\(447\) 13.8997 + 8.66026i 0.657432 + 0.409616i
\(448\) −0.965926 0.258819i −0.0456357 0.0122281i
\(449\) 32.8584 + 8.80439i 1.55068 + 0.415505i 0.929700 0.368318i \(-0.120066\pi\)
0.620985 + 0.783823i \(0.286733\pi\)
\(450\) −3.08065 + 9.02336i −0.145223 + 0.425365i
\(451\) 2.04668 + 3.54495i 0.0963743 + 0.166925i
\(452\) 8.90419 15.4225i 0.418818 0.725414i
\(453\) −15.1509 + 8.08130i −0.711853 + 0.379693i
\(454\) 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
\(459\) −8.33049 3.16038i −0.388834 0.147514i
\(460\) −0.766597 + 0.766597i −0.0357428 + 0.0357428i
\(461\) −7.28736 + 27.1968i −0.339406 + 1.26668i 0.559607 + 0.828758i \(0.310952\pi\)
−0.899013 + 0.437922i \(0.855714\pi\)
\(462\) 0.117547 3.49706i 0.00546878 0.162698i
\(463\) 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
\(465\) 4.10959 13.5049i 0.190578 0.626276i
\(466\) 21.4813 5.75591i 0.995104 0.266637i
\(467\) 16.0335 0.741941 0.370971 0.928645i \(-0.379025\pi\)
0.370971 + 0.928645i \(0.379025\pi\)
\(468\) 8.82522 6.25424i 0.407946 0.289102i
\(469\) 1.11091 0.0512970
\(470\) 21.9646 5.88541i 1.01315 0.271474i
\(471\) −0.233788 + 0.768275i −0.0107724 + 0.0354003i
\(472\) 9.12987 5.27113i 0.420236 0.242623i
\(473\) −9.21738 9.21738i −0.423815 0.423815i
\(474\) 0.200268 5.95805i 0.00919862 0.273662i
\(475\) −0.248518 + 0.927483i −0.0114028 + 0.0425558i
\(476\) 1.21247 1.21247i 0.0555737 0.0555737i
\(477\) 9.31170 13.8833i 0.426354 0.635671i
\(478\) 22.1838 + 12.8078i 1.01466 + 0.585816i
\(479\) −2.11394 7.88935i −0.0965886 0.360474i 0.900667 0.434510i \(-0.143078\pi\)
−0.997256 + 0.0740366i \(0.976412\pi\)
\(480\) −1.12054 4.82484i −0.0511456 0.220223i
\(481\) 18.2742 25.3143i 0.833234 1.15423i
\(482\) 28.6951i 1.30702i
\(483\) −0.579356 + 0.309020i −0.0263616 + 0.0140609i
\(484\) 3.45945 5.99195i 0.157248 0.272361i
\(485\) −17.2889 29.9453i −0.785049 1.35975i
\(486\) −14.6132 + 5.42712i −0.662869 + 0.246179i
\(487\) 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
\(489\) −25.7873 16.0669i −1.16614 0.726571i
\(490\) −1.42988 2.47663i −0.0645955 0.111883i
\(491\) −5.12254 + 8.87251i −0.231177 + 0.400411i −0.958155 0.286251i \(-0.907591\pi\)
0.726978 + 0.686661i \(0.240924\pi\)
\(492\) 1.65168 + 3.09660i 0.0744636 + 0.139605i
\(493\) 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
\(498\) 20.0371 18.7339i 0.897885 0.839487i
\(499\) 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
\(501\) 18.7096 + 0.628885i 0.835882 + 0.0280965i
\(502\) 6.37064 + 6.37064i 0.284336 + 0.284336i
\(503\) 8.88415 5.12927i 0.396125 0.228703i −0.288686 0.957424i \(-0.593218\pi\)
0.684810 + 0.728721i \(0.259885\pi\)
\(504\) 0.201451 2.99323i 0.00897332 0.133329i
\(505\) −27.8965 + 7.47484i −1.24138 + 0.332626i
\(506\) 0.765844 0.0340459
\(507\) −19.7738 10.7702i −0.878185 0.478321i
\(508\) 6.32183 0.280486
\(509\) 13.4969 3.61649i 0.598240 0.160298i 0.0530237 0.998593i \(-0.483114\pi\)
0.545217 + 0.838295i \(0.316447\pi\)
\(510\) 8.12546 + 2.47260i 0.359801 + 0.109489i
\(511\) −10.8156 + 6.24442i −0.478456 + 0.276237i
\(512\) 0.707107 + 0.707107i 0.0312500 + 0.0312500i
\(513\) −1.43161 + 0.644128i −0.0632071 + 0.0284389i
\(514\) 4.15228 15.4965i 0.183149 0.683523i
\(515\) 21.9724 21.9724i 0.968220 0.968220i
\(516\) −7.63283 8.16380i −0.336017 0.359391i
\(517\) −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 \(-0.763686\pi\)
0.736848 0.676059i \(-0.236314\pi\)
\(522\) 3.40507 + 3.89648i 0.149036 + 0.170544i
\(523\) −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
\(525\) 2.91105 4.67222i 0.127048 0.203912i
\(526\) −17.7337 4.75172i −0.773225 0.207185i
\(527\) −4.72023 1.26478i −0.205617 0.0550948i
\(528\) −1.85033 + 2.96977i −0.0805253 + 0.129243i
\(529\) 11.4281 + 19.7941i 0.496876 + 0.860614i
\(530\) −7.96770 + 13.8005i −0.346095 + 0.599454i
\(531\) 20.8113 + 23.8147i 0.903134 + 1.03347i
\(532\) 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
\(537\) 22.2705 + 23.8198i 0.961044 + 1.02790i
\(538\) 12.0515 12.0515i 0.519575 0.519575i
\(539\) −0.522859 + 1.95134i −0.0225211 + 0.0840500i
\(540\) 13.5513 6.09716i 0.583154 0.262380i
\(541\) 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
\(543\) −25.6785 7.81404i −1.10197 0.335333i
\(544\) −1.65627 + 0.443796i −0.0710120 + 0.0190276i
\(545\) −10.4481 −0.447546
\(546\) −5.78002 + 2.36461i −0.247362 + 0.101196i
\(547\) −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
\(549\) −2.39457 + 35.5794i −0.102198 + 1.51849i
\(550\) −5.56041 + 3.21030i −0.237097 + 0.136888i
\(551\) 0.368485 + 0.368485i 0.0156980 + 0.0156980i
\(552\) 0.656247 + 0.0220584i 0.0279317 + 0.000938870i
\(553\) −0.890810 + 3.32455i −0.0378811 + 0.141374i
\(554\) −1.05220 + 1.05220i −0.0447036 + 0.0447036i
\(555\) 31.3304 29.2927i 1.32990 1.24340i
\(556\) 10.7239 + 6.19143i 0.454794 + 0.262575i
\(557\) −2.27391 8.48636i −0.0963488 0.359579i 0.900872 0.434085i \(-0.142928\pi\)
−0.997221 + 0.0745068i \(0.976262\pi\)
\(558\) −7.67464 + 3.76802i −0.324894 + 0.159513i
\(559\) −8.27122 + 21.7452i −0.349835 + 0.919724i
\(560\) 2.85976i 0.120847i
\(561\) −2.82365 5.29382i −0.119215 0.223505i
\(562\) −0.469839 + 0.813785i −0.0198190 + 0.0343274i
\(563\) 8.08713 + 14.0073i 0.340832 + 0.590338i 0.984587 0.174893i \(-0.0559580\pi\)
−0.643756 + 0.765231i \(0.722625\pi\)
\(564\) −11.6892 7.28302i −0.492205 0.306670i
\(565\) −49.1924 13.1811i −2.06954 0.554532i
\(566\) 5.28611 + 1.41641i 0.222192 + 0.0595361i
\(567\) 8.92706 1.14348i 0.374901 0.0480217i
\(568\) −0.843133 1.46035i −0.0353771 0.0612749i
\(569\) 18.2667 31.6389i 0.765780 1.32637i −0.174053 0.984736i \(-0.555686\pi\)
0.939833 0.341634i \(-0.110980\pi\)
\(570\) 1.32038 0.704271i 0.0553045 0.0294987i
\(571\) 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
\(576\) −1.67108 + 2.49149i −0.0696281 + 0.103812i
\(577\) −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
\(579\) 0.568279 16.9065i 0.0236169 0.702611i
\(580\) −3.48799 3.48799i −0.144831 0.144831i
\(581\) −13.7154 + 7.91858i −0.569010 + 0.328518i
\(582\) −6.09683 + 20.0354i −0.252722 + 0.830493i
\(583\) 10.8734 2.91352i 0.450330 0.120666i
\(584\) 12.4888 0.516792
\(585\) −23.8083 19.7489i −0.984352 0.816518i
\(586\) 9.83241 0.406173
\(587\) 36.5918 9.80474i 1.51030 0.404685i 0.593768 0.804636i \(-0.297640\pi\)
0.916536 + 0.399952i \(0.130973\pi\)
\(588\) −0.504239 + 1.65703i −0.0207945 + 0.0683347i
\(589\) −0.745653 + 0.430503i −0.0307241 + 0.0177386i
\(590\) −21.3181 21.3181i −0.877653 0.877653i
\(591\) 1.02874 30.6054i 0.0423168 1.25894i
\(592\) −2.24116 + 8.36414i −0.0921113 + 0.343764i
\(593\) −0.199598 + 0.199598i −0.00819652 + 0.00819652i −0.711193 0.702997i \(-0.751845\pi\)
0.702997 + 0.711193i \(0.251845\pi\)
\(594\) −9.81457 3.72340i −0.402697 0.152773i
\(595\) −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 \(-0.749407\pi\)
0.705787 0.708424i \(-0.250593\pi\)
\(600\) −4.85715 + 2.59073i −0.198292 + 0.105766i
\(601\) −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
\(603\) 1.07679 3.15398i 0.0438504 0.128440i
\(604\) −9.57613 2.56592i −0.389647 0.104406i
\(605\) −19.1122 5.12111i −0.777023 0.208203i
\(606\) 14.8460 + 9.24989i 0.603079 + 0.375751i
\(607\) 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
\(609\) −1.40603 2.63605i −0.0569754 0.106818i
\(610\) 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
\(615\) 7.33128 6.85446i 0.295626 0.276398i
\(616\) 1.42848 1.42848i 0.0575550 0.0575550i
\(617\) −6.13143 + 22.8828i −0.246842 + 0.921227i 0.725606 + 0.688110i \(0.241559\pi\)
−0.972449 + 0.233117i \(0.925107\pi\)
\(618\) −18.8095 0.632245i −0.756630 0.0254326i
\(619\) 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
\(621\) 0.315775 + 1.94438i 0.0126716 + 0.0780252i
\(622\) −8.94182 + 2.39595i −0.358534 + 0.0960690i
\(623\) −16.6922 −0.668760
\(624\) 6.18795 + 0.842194i 0.247716 + 0.0337148i
\(625\) 30.7900 1.23160
\(626\) 5.28583 1.41633i 0.211264 0.0566080i
\(627\) −1.01133 0.307750i −0.0403886 0.0122904i
\(628\) −0.401530 + 0.231823i −0.0160228 + 0.00925075i
\(629\) −10.4990 10.4990i −0.418624 0.418624i
\(630\) −8.41736 + 1.65900i −0.335356 + 0.0660962i
\(631\) −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
\(633\) −14.6552 15.6747i −0.582492 0.623013i
\(634\) 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
\(639\) 3.80924 3.32883i 0.150691 0.131687i
\(640\) 1.42988 2.47663i 0.0565210 0.0978973i
\(641\) −11.7572 20.3640i −0.464381 0.804331i 0.534793 0.844983i \(-0.320390\pi\)
−0.999173 + 0.0406525i \(0.987056\pi\)
\(642\) −8.04202 + 12.9074i −0.317393 + 0.509415i
\(643\) 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
\(645\) −16.9015 + 27.1268i −0.665496 + 1.06812i
\(646\) −0.259019 0.448634i −0.0101910 0.0176513i
\(647\) −6.50329 + 11.2640i −0.255671 + 0.442834i −0.965077 0.261965i \(-0.915630\pi\)
0.709407 + 0.704799i \(0.248963\pi\)
\(648\) −8.30280 3.47325i −0.326165 0.136442i
\(649\) 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 0.0554827 0.998460i \(-0.482330\pi\)
−0.836950 + 0.547279i \(0.815664\pi\)
\(654\) 4.32173 + 4.62236i 0.168993 + 0.180749i
\(655\) −24.8154 + 24.8154i −0.969620 + 0.969620i
\(656\) −0.524430 + 1.95720i −0.0204756 + 0.0764158i
\(657\) 7.24500 + 36.7593i 0.282654 + 1.43412i
\(658\) 5.62258 + 5.62258i 0.219191 + 0.219191i
\(659\) 33.6049 19.4018i 1.30906 0.755786i 0.327120 0.944983i \(-0.393922\pi\)
0.981939 + 0.189197i \(0.0605884\pi\)
\(660\) 9.57301 + 2.91309i 0.372629 + 0.113392i
\(661\) −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
\(663\) −6.55587 + 8.46688i −0.254609 + 0.328826i
\(664\) 15.8372 0.614601
\(665\) −0.834542 + 0.223615i −0.0323622 + 0.00867141i
\(666\) −25.9189 1.74440i −1.00434 0.0675941i
\(667\) 0.566296 0.326951i 0.0219271 0.0126596i
\(668\) 7.64247 + 7.64247i 0.295696 + 0.295696i
\(669\) 48.5576 + 1.63217i 1.87734 + 0.0631032i
\(670\) −0.822251 + 3.06868i −0.0317663 + 0.118554i
\(671\) −16.9798 + 16.9798i −0.655497 + 0.655497i
\(672\) 1.26520 1.18291i 0.0488061 0.0456317i
\(673\) −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 \(0.0613074\pi\)
−0.981509 + 0.191414i \(0.938693\pi\)
\(678\) 14.5164 + 27.2156i 0.557500 + 1.04521i
\(679\) 6.04558 10.4712i 0.232008 0.401849i
\(680\) 2.45182 + 4.24667i 0.0940228 + 0.162852i
\(681\) 33.0435 + 20.5879i 1.26623 + 0.788930i
\(682\) −5.56114 1.49010i −0.212947 0.0570590i
\(683\) 26.5474 + 7.11336i 1.01581 + 0.272185i 0.728055 0.685519i \(-0.240425\pi\)
0.287754 + 0.957704i \(0.407091\pi\)
\(684\) −0.857738 0.292839i −0.0327964 0.0111970i
\(685\) −10.9235 18.9201i −0.417366 0.722899i
\(686\) 0.500000 0.866025i 0.0190901 0.0330650i
\(687\) −31.8672 + 16.9975i −1.21581 + 0.648495i
\(688\) 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
\(693\) 5.03323 + 3.37586i 0.191197 + 0.128238i
\(694\) 5.61664 5.61664i 0.213205 0.213205i
\(695\) 9.16532 34.2054i 0.347660 1.29749i
\(696\) −0.100365 + 2.98591i −0.00380434 + 0.113180i
\(697\) −2.45677 2.45677i −0.0930567 0.0930567i
\(698\) −29.3037 + 16.9185i −1.10916 + 0.640375i
\(699\) −11.2138 + 36.8509i −0.424146 + 1.39383i
\(700\) 3.06995 0.822591i 0.116033 0.0310910i
\(701\) −19.7505 −0.745965 −0.372982 0.927838i \(-0.621665\pi\)
−0.372982 + 0.927838i \(0.621665\pi\)
\(702\) 1.11085 + 18.7020i 0.0419263 + 0.705863i
\(703\) −2.61608 −0.0986675
\(704\) −1.95134 + 0.522859i −0.0735437 + 0.0197060i
\(705\) −11.4661 + 37.6800i −0.431839 + 1.41911i
\(706\) −32.3500 + 18.6773i −1.21751 + 0.702928i
\(707\) −7.14102 7.14102i −0.268566 0.268566i
\(708\) −0.613418 + 18.2494i −0.0230537 + 0.685855i
\(709\) −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
\(711\) 8.57526 + 5.75155i 0.321597 + 0.215700i
\(712\) 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
\(717\) −39.1470 + 20.8805i −1.46197 + 0.779796i
\(718\) 7.89533 13.6751i 0.294651 0.510351i
\(719\) 22.3008 + 38.6261i 0.831679 + 1.44051i 0.896706 + 0.442627i \(0.145954\pi\)
−0.0650264 + 0.997884i \(0.520713\pi\)
\(720\) 8.11915 + 2.77194i 0.302583 + 0.103304i
\(721\) 10.4956 + 2.81228i 0.390876 + 0.104735i
\(722\) 18.2644 + 4.89394i 0.679732 + 0.182134i
\(723\) −42.1835 26.2826i −1.56882 0.977460i
\(724\) −7.74836 13.4205i −0.287965 0.498771i
\(725\) −2.74106 + 4.74765i −0.101800 + 0.176323i
\(726\) 5.63992 + 10.5738i 0.209317 + 0.392430i
\(727\) 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
\(732\) −15.0389 + 14.0608i −0.555855 + 0.519703i
\(733\) −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
\(735\) 4.95046 + 0.166400i 0.182600 + 0.00613775i
\(736\) 0.268063 + 0.268063i 0.00988093 + 0.00988093i
\(737\) 1.94356 1.12211i 0.0715918 0.0413335i
\(738\) −6.06501 0.408188i −0.223256 0.0150256i
\(739\) 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
\(741\) 0.238086 + 1.87163i 0.00874632 + 0.0687562i
\(742\) −5.57228 −0.204565
\(743\) −21.0760 + 5.64730i −0.773203 + 0.207179i −0.623786 0.781595i \(-0.714406\pi\)
−0.149417 + 0.988774i \(0.547740\pi\)
\(744\) −4.72239 1.43704i −0.173131 0.0526843i
\(745\) 23.4169 13.5198i 0.857931 0.495326i
\(746\) 14.5426 + 14.5426i 0.532441 + 0.532441i
\(747\) 9.18742 + 46.6147i 0.336150 + 1.70554i
\(748\) 0.896545 3.34595i 0.0327809 0.122340i
\(749\) 6.20854 6.20854i 0.226855 0.226855i
\(750\) −6.16270 6.59140i −0.225030 0.240684i
\(751\) 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
\(756\) 4.21571 + 3.03773i 0.153324 + 0.110481i
\(757\) 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
\(759\) −0.701458 + 1.12584i −0.0254613 + 0.0408653i
\(760\) 0.834542 + 0.223615i 0.0302720 + 0.00811136i
\(761\) −29.0850 7.79331i −1.05433 0.282507i −0.310291 0.950642i \(-0.600426\pi\)
−0.744040 + 0.668135i \(0.767093\pi\)
\(762\) −5.79034 + 9.29347i −0.209762 + 0.336667i
\(763\) −1.82674 3.16400i −0.0661323 0.114544i
\(764\) −1.16049 + 2.01002i −0.0419849 + 0.0727201i
\(765\) −11.0772 + 9.68018i −0.400497 + 0.349988i
\(766\) 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
\(771\) 18.9776 + 20.2978i 0.683463 + 0.731008i
\(772\) 6.90595 6.90595i 0.248551 0.248551i
\(773\) 3.90727 14.5821i 0.140535 0.524482i −0.859379 0.511339i \(-0.829150\pi\)
0.999914 0.0131432i \(-0.00418374\pi\)