Properties

Label 280.2.bv.d.117.1
Level $280$
Weight $2$
Character 280.117
Analytic conductor $2.236$
Analytic rank $0$
Dimension $4$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 280.bv (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.23581125660\)
Analytic rank: \(0\)
Dimension: \(4\)
Coefficient field: \(\Q(\zeta_{12})\)
Defining polynomial: \(x^{4} - x^{2} + 1\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 117.1
Root \(-0.866025 + 0.500000i\) of defining polynomial
Character \(\chi\) \(=\) 280.117
Dual form 280.2.bv.d.213.1

$q$-expansion

\(f(q)\) \(=\) \(q+(1.00000 - 1.00000i) q^{2} +(1.86603 + 0.500000i) q^{3} -2.00000i q^{4} +(-0.133975 + 2.23205i) q^{5} +(2.36603 - 1.36603i) q^{6} +(0.866025 - 2.50000i) q^{7} +(-2.00000 - 2.00000i) q^{8} +(0.633975 + 0.366025i) q^{9} +O(q^{10})\) \(q+(1.00000 - 1.00000i) q^{2} +(1.86603 + 0.500000i) q^{3} -2.00000i q^{4} +(-0.133975 + 2.23205i) q^{5} +(2.36603 - 1.36603i) q^{6} +(0.866025 - 2.50000i) q^{7} +(-2.00000 - 2.00000i) q^{8} +(0.633975 + 0.366025i) q^{9} +(2.09808 + 2.36603i) q^{10} +(0.633975 - 0.366025i) q^{11} +(1.00000 - 3.73205i) q^{12} +(-3.00000 + 3.00000i) q^{13} +(-1.63397 - 3.36603i) q^{14} +(-1.36603 + 4.09808i) q^{15} -4.00000 q^{16} +(4.09808 + 1.09808i) q^{17} +(1.00000 - 0.267949i) q^{18} +(3.00000 + 1.73205i) q^{19} +(4.46410 + 0.267949i) q^{20} +(2.86603 - 4.23205i) q^{21} +(0.267949 - 1.00000i) q^{22} +(0.401924 + 1.50000i) q^{23} +(-2.73205 - 4.73205i) q^{24} +(-4.96410 - 0.598076i) q^{25} +6.00000i q^{26} +(-3.09808 - 3.09808i) q^{27} +(-5.00000 - 1.73205i) q^{28} -4.46410 q^{29} +(2.73205 + 5.46410i) q^{30} +(-8.83013 + 5.09808i) q^{31} +(-4.00000 + 4.00000i) q^{32} +(1.36603 - 0.366025i) q^{33} +(5.19615 - 3.00000i) q^{34} +(5.46410 + 2.26795i) q^{35} +(0.732051 - 1.26795i) q^{36} +(-1.73205 - 6.46410i) q^{37} +(4.73205 - 1.26795i) q^{38} +(-7.09808 + 4.09808i) q^{39} +(4.73205 - 4.19615i) q^{40} -0.464102i q^{41} +(-1.36603 - 7.09808i) q^{42} +(2.36603 + 2.36603i) q^{43} +(-0.732051 - 1.26795i) q^{44} +(-0.901924 + 1.36603i) q^{45} +(1.90192 + 1.09808i) q^{46} +(0.169873 + 0.633975i) q^{47} +(-7.46410 - 2.00000i) q^{48} +(-5.50000 - 4.33013i) q^{49} +(-5.56218 + 4.36603i) q^{50} +(7.09808 + 4.09808i) q^{51} +(6.00000 + 6.00000i) q^{52} +(-0.803848 + 3.00000i) q^{53} -6.19615 q^{54} +(0.732051 + 1.46410i) q^{55} +(-6.73205 + 3.26795i) q^{56} +(4.73205 + 4.73205i) q^{57} +(-4.46410 + 4.46410i) q^{58} +(7.73205 - 4.46410i) q^{59} +(8.19615 + 2.73205i) q^{60} +(4.96410 - 8.59808i) q^{61} +(-3.73205 + 13.9282i) q^{62} +(1.46410 - 1.26795i) q^{63} +8.00000i q^{64} +(-6.29423 - 7.09808i) q^{65} +(1.00000 - 1.73205i) q^{66} +(-3.86603 - 1.03590i) q^{67} +(2.19615 - 8.19615i) q^{68} +3.00000i q^{69} +(7.73205 - 3.19615i) q^{70} +15.4641 q^{71} +(-0.535898 - 2.00000i) q^{72} +(-2.16987 + 8.09808i) q^{73} +(-8.19615 - 4.73205i) q^{74} +(-8.96410 - 3.59808i) q^{75} +(3.46410 - 6.00000i) q^{76} +(-0.366025 - 1.90192i) q^{77} +(-3.00000 + 11.1962i) q^{78} +(11.1962 + 6.46410i) q^{79} +(0.535898 - 8.92820i) q^{80} +(-5.33013 - 9.23205i) q^{81} +(-0.464102 - 0.464102i) q^{82} +(-4.56218 + 4.56218i) q^{83} +(-8.46410 - 5.73205i) q^{84} +(-3.00000 + 9.00000i) q^{85} +4.73205 q^{86} +(-8.33013 - 2.23205i) q^{87} +(-2.00000 - 0.535898i) q^{88} +(8.59808 - 14.8923i) q^{89} +(0.464102 + 2.26795i) q^{90} +(4.90192 + 10.0981i) q^{91} +(3.00000 - 0.803848i) q^{92} +(-19.0263 + 5.09808i) q^{93} +(0.803848 + 0.464102i) q^{94} +(-4.26795 + 6.46410i) q^{95} +(-9.46410 + 5.46410i) q^{96} +(-6.26795 + 6.26795i) q^{97} +(-9.83013 + 1.16987i) q^{98} +0.535898 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 4q + 4q^{2} + 4q^{3} - 4q^{5} + 6q^{6} - 8q^{8} + 6q^{9} + O(q^{10}) \) \( 4q + 4q^{2} + 4q^{3} - 4q^{5} + 6q^{6} - 8q^{8} + 6q^{9} - 2q^{10} + 6q^{11} + 4q^{12} - 12q^{13} - 10q^{14} - 2q^{15} - 16q^{16} + 6q^{17} + 4q^{18} + 12q^{19} + 4q^{20} + 8q^{21} + 8q^{22} + 12q^{23} - 4q^{24} - 6q^{25} - 2q^{27} - 20q^{28} - 4q^{29} + 4q^{30} - 18q^{31} - 16q^{32} + 2q^{33} + 8q^{35} - 4q^{36} + 12q^{38} - 18q^{39} + 12q^{40} - 2q^{42} + 6q^{43} + 4q^{44} - 14q^{45} + 18q^{46} + 18q^{47} - 16q^{48} - 22q^{49} + 2q^{50} + 18q^{51} + 24q^{52} - 24q^{53} - 4q^{54} - 4q^{55} - 20q^{56} + 12q^{57} - 4q^{58} + 24q^{59} + 12q^{60} + 6q^{61} - 8q^{62} - 8q^{63} + 6q^{65} + 4q^{66} - 12q^{67} - 12q^{68} + 24q^{70} + 48q^{71} - 16q^{72} - 26q^{73} - 12q^{74} - 22q^{75} + 2q^{77} - 12q^{78} + 24q^{79} + 16q^{80} - 4q^{81} + 12q^{82} + 6q^{83} - 20q^{84} - 12q^{85} + 12q^{86} - 16q^{87} - 8q^{88} + 24q^{89} - 12q^{90} + 30q^{91} + 12q^{92} - 38q^{93} + 24q^{94} - 24q^{95} - 24q^{96} - 32q^{97} - 22q^{98} + 16q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(57\) \(71\) \(141\) \(241\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(1\) \(-1\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.00000 1.00000i 0.707107 0.707107i
\(3\) 1.86603 + 0.500000i 1.07735 + 0.288675i 0.753510 0.657437i \(-0.228359\pi\)
0.323840 + 0.946112i \(0.395026\pi\)
\(4\) 2.00000i 1.00000i
\(5\) −0.133975 + 2.23205i −0.0599153 + 0.998203i
\(6\) 2.36603 1.36603i 0.965926 0.557678i
\(7\) 0.866025 2.50000i 0.327327 0.944911i
\(8\) −2.00000 2.00000i −0.707107 0.707107i
\(9\) 0.633975 + 0.366025i 0.211325 + 0.122008i
\(10\) 2.09808 + 2.36603i 0.663470 + 0.748203i
\(11\) 0.633975 0.366025i 0.191151 0.110361i −0.401371 0.915916i \(-0.631466\pi\)
0.592521 + 0.805555i \(0.298133\pi\)
\(12\) 1.00000 3.73205i 0.288675 1.07735i
\(13\) −3.00000 + 3.00000i −0.832050 + 0.832050i −0.987797 0.155747i \(-0.950222\pi\)
0.155747 + 0.987797i \(0.450222\pi\)
\(14\) −1.63397 3.36603i −0.436698 0.899608i
\(15\) −1.36603 + 4.09808i −0.352706 + 1.05812i
\(16\) −4.00000 −1.00000
\(17\) 4.09808 + 1.09808i 0.993929 + 0.266323i 0.718900 0.695113i \(-0.244646\pi\)
0.275029 + 0.961436i \(0.411312\pi\)
\(18\) 1.00000 0.267949i 0.235702 0.0631562i
\(19\) 3.00000 + 1.73205i 0.688247 + 0.397360i 0.802955 0.596040i \(-0.203260\pi\)
−0.114708 + 0.993399i \(0.536593\pi\)
\(20\) 4.46410 + 0.267949i 0.998203 + 0.0599153i
\(21\) 2.86603 4.23205i 0.625418 0.923509i
\(22\) 0.267949 1.00000i 0.0571270 0.213201i
\(23\) 0.401924 + 1.50000i 0.0838069 + 0.312772i 0.995086 0.0990186i \(-0.0315703\pi\)
−0.911279 + 0.411790i \(0.864904\pi\)
\(24\) −2.73205 4.73205i −0.557678 0.965926i
\(25\) −4.96410 0.598076i −0.992820 0.119615i
\(26\) 6.00000i 1.17670i
\(27\) −3.09808 3.09808i −0.596225 0.596225i
\(28\) −5.00000 1.73205i −0.944911 0.327327i
\(29\) −4.46410 −0.828963 −0.414481 0.910058i \(-0.636037\pi\)
−0.414481 + 0.910058i \(0.636037\pi\)
\(30\) 2.73205 + 5.46410i 0.498802 + 0.997604i
\(31\) −8.83013 + 5.09808i −1.58594 + 0.915642i −0.591971 + 0.805959i \(0.701650\pi\)
−0.993967 + 0.109682i \(0.965017\pi\)
\(32\) −4.00000 + 4.00000i −0.707107 + 0.707107i
\(33\) 1.36603 0.366025i 0.237795 0.0637168i
\(34\) 5.19615 3.00000i 0.891133 0.514496i
\(35\) 5.46410 + 2.26795i 0.923602 + 0.383353i
\(36\) 0.732051 1.26795i 0.122008 0.211325i
\(37\) −1.73205 6.46410i −0.284747 1.06269i −0.949024 0.315205i \(-0.897927\pi\)
0.664276 0.747487i \(-0.268740\pi\)
\(38\) 4.73205 1.26795i 0.767640 0.205689i
\(39\) −7.09808 + 4.09808i −1.13660 + 0.656217i
\(40\) 4.73205 4.19615i 0.748203 0.663470i
\(41\) 0.464102i 0.0724805i −0.999343 0.0362402i \(-0.988462\pi\)
0.999343 0.0362402i \(-0.0115382\pi\)
\(42\) −1.36603 7.09808i −0.210782 1.09526i
\(43\) 2.36603 + 2.36603i 0.360815 + 0.360815i 0.864113 0.503298i \(-0.167880\pi\)
−0.503298 + 0.864113i \(0.667880\pi\)
\(44\) −0.732051 1.26795i −0.110361 0.191151i
\(45\) −0.901924 + 1.36603i −0.134451 + 0.203635i
\(46\) 1.90192 + 1.09808i 0.280423 + 0.161903i
\(47\) 0.169873 + 0.633975i 0.0247785 + 0.0924747i 0.977208 0.212285i \(-0.0680905\pi\)
−0.952429 + 0.304760i \(0.901424\pi\)
\(48\) −7.46410 2.00000i −1.07735 0.288675i
\(49\) −5.50000 4.33013i −0.785714 0.618590i
\(50\) −5.56218 + 4.36603i −0.786611 + 0.617449i
\(51\) 7.09808 + 4.09808i 0.993929 + 0.573845i
\(52\) 6.00000 + 6.00000i 0.832050 + 0.832050i
\(53\) −0.803848 + 3.00000i −0.110417 + 0.412082i −0.998903 0.0468214i \(-0.985091\pi\)
0.888486 + 0.458903i \(0.151757\pi\)
\(54\) −6.19615 −0.843190
\(55\) 0.732051 + 1.46410i 0.0987097 + 0.197419i
\(56\) −6.73205 + 3.26795i −0.899608 + 0.436698i
\(57\) 4.73205 + 4.73205i 0.626775 + 0.626775i
\(58\) −4.46410 + 4.46410i −0.586165 + 0.586165i
\(59\) 7.73205 4.46410i 1.00663 0.581177i 0.0964249 0.995340i \(-0.469259\pi\)
0.910202 + 0.414164i \(0.135926\pi\)
\(60\) 8.19615 + 2.73205i 1.05812 + 0.352706i
\(61\) 4.96410 8.59808i 0.635588 1.10087i −0.350802 0.936450i \(-0.614091\pi\)
0.986390 0.164421i \(-0.0525756\pi\)
\(62\) −3.73205 + 13.9282i −0.473971 + 1.76888i
\(63\) 1.46410 1.26795i 0.184459 0.159747i
\(64\) 8.00000i 1.00000i
\(65\) −6.29423 7.09808i −0.780703 0.880408i
\(66\) 1.00000 1.73205i 0.123091 0.213201i
\(67\) −3.86603 1.03590i −0.472310 0.126555i 0.0148095 0.999890i \(-0.495286\pi\)
−0.487120 + 0.873335i \(0.661952\pi\)
\(68\) 2.19615 8.19615i 0.266323 0.993929i
\(69\) 3.00000i 0.361158i
\(70\) 7.73205 3.19615i 0.924157 0.382013i
\(71\) 15.4641 1.83525 0.917626 0.397446i \(-0.130103\pi\)
0.917626 + 0.397446i \(0.130103\pi\)
\(72\) −0.535898 2.00000i −0.0631562 0.235702i
\(73\) −2.16987 + 8.09808i −0.253964 + 0.947808i 0.714699 + 0.699432i \(0.246564\pi\)
−0.968664 + 0.248376i \(0.920103\pi\)
\(74\) −8.19615 4.73205i −0.952783 0.550090i
\(75\) −8.96410 3.59808i −1.03509 0.415470i
\(76\) 3.46410 6.00000i 0.397360 0.688247i
\(77\) −0.366025 1.90192i −0.0417125 0.216744i
\(78\) −3.00000 + 11.1962i −0.339683 + 1.26771i
\(79\) 11.1962 + 6.46410i 1.25967 + 0.727268i 0.973009 0.230765i \(-0.0741230\pi\)
0.286656 + 0.958034i \(0.407456\pi\)
\(80\) 0.535898 8.92820i 0.0599153 0.998203i
\(81\) −5.33013 9.23205i −0.592236 1.02578i
\(82\) −0.464102 0.464102i −0.0512514 0.0512514i
\(83\) −4.56218 + 4.56218i −0.500764 + 0.500764i −0.911675 0.410911i \(-0.865211\pi\)
0.410911 + 0.911675i \(0.365211\pi\)
\(84\) −8.46410 5.73205i −0.923509 0.625418i
\(85\) −3.00000 + 9.00000i −0.325396 + 0.976187i
\(86\) 4.73205 0.510270
\(87\) −8.33013 2.23205i −0.893083 0.239301i
\(88\) −2.00000 0.535898i −0.213201 0.0571270i
\(89\) 8.59808 14.8923i 0.911394 1.57858i 0.0992979 0.995058i \(-0.468340\pi\)
0.812096 0.583523i \(-0.198326\pi\)
\(90\) 0.464102 + 2.26795i 0.0489206 + 0.239063i
\(91\) 4.90192 + 10.0981i 0.513861 + 1.05857i
\(92\) 3.00000 0.803848i 0.312772 0.0838069i
\(93\) −19.0263 + 5.09808i −1.97293 + 0.528646i
\(94\) 0.803848 + 0.464102i 0.0829105 + 0.0478684i
\(95\) −4.26795 + 6.46410i −0.437882 + 0.663203i
\(96\) −9.46410 + 5.46410i −0.965926 + 0.557678i
\(97\) −6.26795 + 6.26795i −0.636414 + 0.636414i −0.949669 0.313255i \(-0.898580\pi\)
0.313255 + 0.949669i \(0.398580\pi\)
\(98\) −9.83013 + 1.16987i −0.992993 + 0.118175i
\(99\) 0.535898 0.0538598
\(100\) −1.19615 + 9.92820i −0.119615 + 0.992820i
\(101\) −5.06218 8.76795i −0.503706 0.872444i −0.999991 0.00428406i \(-0.998636\pi\)
0.496285 0.868159i \(-0.334697\pi\)
\(102\) 11.1962 3.00000i 1.10858 0.297044i
\(103\) 12.4282 3.33013i 1.22459 0.328127i 0.412118 0.911131i \(-0.364789\pi\)
0.812470 + 0.583003i \(0.198123\pi\)
\(104\) 12.0000 1.17670
\(105\) 9.06218 + 6.96410i 0.884378 + 0.679627i
\(106\) 2.19615 + 3.80385i 0.213309 + 0.369462i
\(107\) 1.42820 + 5.33013i 0.138070 + 0.515283i 0.999966 + 0.00819905i \(0.00260987\pi\)
−0.861897 + 0.507084i \(0.830723\pi\)
\(108\) −6.19615 + 6.19615i −0.596225 + 0.596225i
\(109\) 2.13397 + 3.69615i 0.204398 + 0.354027i 0.949941 0.312430i \(-0.101143\pi\)
−0.745543 + 0.666458i \(0.767810\pi\)
\(110\) 2.19615 + 0.732051i 0.209395 + 0.0697983i
\(111\) 12.9282i 1.22709i
\(112\) −3.46410 + 10.0000i −0.327327 + 0.944911i
\(113\) 2.53590 2.53590i 0.238557 0.238557i −0.577695 0.816253i \(-0.696048\pi\)
0.816253 + 0.577695i \(0.196048\pi\)
\(114\) 9.46410 0.886394
\(115\) −3.40192 + 0.696152i −0.317231 + 0.0649165i
\(116\) 8.92820i 0.828963i
\(117\) −3.00000 + 0.803848i −0.277350 + 0.0743157i
\(118\) 3.26795 12.1962i 0.300839 1.12275i
\(119\) 6.29423 9.29423i 0.576991 0.852001i
\(120\) 10.9282 5.46410i 0.997604 0.498802i
\(121\) −5.23205 + 9.06218i −0.475641 + 0.823834i
\(122\) −3.63397 13.5622i −0.329005 1.22786i
\(123\) 0.232051 0.866025i 0.0209233 0.0780869i
\(124\) 10.1962 + 17.6603i 0.915642 + 1.58594i
\(125\) 2.00000 11.0000i 0.178885 0.983870i
\(126\) 0.196152 2.73205i 0.0174746 0.243390i
\(127\) −11.0000 11.0000i −0.976092 0.976092i 0.0236286 0.999721i \(-0.492478\pi\)
−0.999721 + 0.0236286i \(0.992478\pi\)
\(128\) 8.00000 + 8.00000i 0.707107 + 0.707107i
\(129\) 3.23205 + 5.59808i 0.284566 + 0.492883i
\(130\) −13.3923 0.803848i −1.17458 0.0705021i
\(131\) 3.73205 6.46410i 0.326071 0.564771i −0.655658 0.755058i \(-0.727609\pi\)
0.981728 + 0.190287i \(0.0609419\pi\)
\(132\) −0.732051 2.73205i −0.0637168 0.237795i
\(133\) 6.92820 6.00000i 0.600751 0.520266i
\(134\) −4.90192 + 2.83013i −0.423462 + 0.244486i
\(135\) 7.33013 6.50000i 0.630877 0.559431i
\(136\) −6.00000 10.3923i −0.514496 0.891133i
\(137\) 2.19615 8.19615i 0.187630 0.700245i −0.806422 0.591340i \(-0.798599\pi\)
0.994052 0.108904i \(-0.0347343\pi\)
\(138\) 3.00000 + 3.00000i 0.255377 + 0.255377i
\(139\) 1.26795i 0.107546i 0.998553 + 0.0537730i \(0.0171247\pi\)
−0.998553 + 0.0537730i \(0.982875\pi\)
\(140\) 4.53590 10.9282i 0.383353 0.923602i
\(141\) 1.26795i 0.106781i
\(142\) 15.4641 15.4641i 1.29772 1.29772i
\(143\) −0.803848 + 3.00000i −0.0672211 + 0.250873i
\(144\) −2.53590 1.46410i −0.211325 0.122008i
\(145\) 0.598076 9.96410i 0.0496675 0.827474i
\(146\) 5.92820 + 10.2679i 0.490622 + 0.849782i
\(147\) −8.09808 10.8301i −0.667918 0.893254i
\(148\) −12.9282 + 3.46410i −1.06269 + 0.284747i
\(149\) 11.3301 19.6244i 0.928200 1.60769i 0.141868 0.989886i \(-0.454689\pi\)
0.786332 0.617804i \(-0.211978\pi\)
\(150\) −12.5622 + 5.36603i −1.02570 + 0.438134i
\(151\) −6.90192 11.9545i −0.561671 0.972842i −0.997351 0.0727405i \(-0.976826\pi\)
0.435680 0.900101i \(-0.356508\pi\)
\(152\) −2.53590 9.46410i −0.205689 0.767640i
\(153\) 2.19615 + 2.19615i 0.177548 + 0.177548i
\(154\) −2.26795 1.53590i −0.182757 0.123766i
\(155\) −10.1962 20.3923i −0.818975 1.63795i
\(156\) 8.19615 + 14.1962i 0.656217 + 1.13660i
\(157\) −4.56218 + 17.0263i −0.364101 + 1.35885i 0.504533 + 0.863392i \(0.331665\pi\)
−0.868635 + 0.495453i \(0.835002\pi\)
\(158\) 17.6603 4.73205i 1.40497 0.376462i
\(159\) −3.00000 + 5.19615i −0.237915 + 0.412082i
\(160\) −8.39230 9.46410i −0.663470 0.748203i
\(161\) 4.09808 + 0.294229i 0.322974 + 0.0231885i
\(162\) −14.5622 3.90192i −1.14411 0.306564i
\(163\) −3.63397 + 0.973721i −0.284635 + 0.0762677i −0.398312 0.917250i \(-0.630404\pi\)
0.113677 + 0.993518i \(0.463737\pi\)
\(164\) −0.928203 −0.0724805
\(165\) 0.633975 + 3.09808i 0.0493549 + 0.241185i
\(166\) 9.12436i 0.708187i
\(167\) −3.29423 + 3.29423i −0.254915 + 0.254915i −0.822982 0.568067i \(-0.807691\pi\)
0.568067 + 0.822982i \(0.307691\pi\)
\(168\) −14.1962 + 2.73205i −1.09526 + 0.210782i
\(169\) 5.00000i 0.384615i
\(170\) 6.00000 + 12.0000i 0.460179 + 0.920358i
\(171\) 1.26795 + 2.19615i 0.0969625 + 0.167944i
\(172\) 4.73205 4.73205i 0.360815 0.360815i
\(173\) −0.124356 0.464102i −0.00945459 0.0352850i 0.961037 0.276418i \(-0.0891475\pi\)
−0.970492 + 0.241133i \(0.922481\pi\)
\(174\) −10.5622 + 6.09808i −0.800717 + 0.462294i
\(175\) −5.79423 + 11.8923i −0.438003 + 0.898974i
\(176\) −2.53590 + 1.46410i −0.191151 + 0.110361i
\(177\) 16.6603 4.46410i 1.25226 0.335542i
\(178\) −6.29423 23.4904i −0.471772 1.76068i
\(179\) 7.02628 + 12.1699i 0.525169 + 0.909619i 0.999570 + 0.0293105i \(0.00933115\pi\)
−0.474402 + 0.880309i \(0.657336\pi\)
\(180\) 2.73205 + 1.80385i 0.203635 + 0.134451i
\(181\) 22.5167 1.67365 0.836825 0.547470i \(-0.184409\pi\)
0.836825 + 0.547470i \(0.184409\pi\)
\(182\) 15.0000 + 5.19615i 1.11187 + 0.385164i
\(183\) 13.5622 13.5622i 1.00255 1.00255i
\(184\) 2.19615 3.80385i 0.161903 0.280423i
\(185\) 14.6603 3.00000i 1.07784 0.220564i
\(186\) −13.9282 + 24.1244i −1.02127 + 1.76888i
\(187\) 3.00000 0.803848i 0.219382 0.0587832i
\(188\) 1.26795 0.339746i 0.0924747 0.0247785i
\(189\) −10.4282 + 5.06218i −0.758540 + 0.368219i
\(190\) 2.19615 + 10.7321i 0.159326 + 0.778585i
\(191\) −1.56218 + 2.70577i −0.113035 + 0.195783i −0.916993 0.398904i \(-0.869391\pi\)
0.803957 + 0.594687i \(0.202724\pi\)
\(192\) −4.00000 + 14.9282i −0.288675 + 1.07735i
\(193\) −11.5622 3.09808i −0.832264 0.223004i −0.182563 0.983194i \(-0.558439\pi\)
−0.649701 + 0.760190i \(0.725106\pi\)
\(194\) 12.5359i 0.900025i
\(195\) −8.19615 16.3923i −0.586939 1.17388i
\(196\) −8.66025 + 11.0000i −0.618590 + 0.785714i
\(197\) −5.53590 + 5.53590i −0.394416 + 0.394416i −0.876258 0.481842i \(-0.839968\pi\)
0.481842 + 0.876258i \(0.339968\pi\)
\(198\) 0.535898 0.535898i 0.0380846 0.0380846i
\(199\) 1.73205 + 3.00000i 0.122782 + 0.212664i 0.920864 0.389885i \(-0.127485\pi\)
−0.798082 + 0.602549i \(0.794152\pi\)
\(200\) 8.73205 + 11.1244i 0.617449 + 0.786611i
\(201\) −6.69615 3.86603i −0.472310 0.272688i
\(202\) −13.8301 3.70577i −0.973084 0.260737i
\(203\) −3.86603 + 11.1603i −0.271342 + 0.783296i
\(204\) 8.19615 14.1962i 0.573845 0.993929i
\(205\) 1.03590 + 0.0621778i 0.0723503 + 0.00434269i
\(206\) 9.09808 15.7583i 0.633893 1.09793i
\(207\) −0.294229 + 1.09808i −0.0204503 + 0.0763216i
\(208\) 12.0000 12.0000i 0.832050 0.832050i
\(209\) 2.53590 0.175412
\(210\) 16.0263 2.09808i 1.10592 0.144781i
\(211\) 20.5359i 1.41375i −0.707339 0.706875i \(-0.750104\pi\)
0.707339 0.706875i \(-0.249896\pi\)
\(212\) 6.00000 + 1.60770i 0.412082 + 0.110417i
\(213\) 28.8564 + 7.73205i 1.97721 + 0.529791i
\(214\) 6.75833 + 3.90192i 0.461990 + 0.266730i
\(215\) −5.59808 + 4.96410i −0.381786 + 0.338549i
\(216\) 12.3923i 0.843190i
\(217\) 5.09808 + 26.4904i 0.346080 + 1.79828i
\(218\) 5.83013 + 1.56218i 0.394866 + 0.105804i
\(219\) −8.09808 + 14.0263i −0.547217 + 0.947808i
\(220\) 2.92820 1.46410i 0.197419 0.0987097i
\(221\) −15.5885 + 9.00000i −1.04859 + 0.605406i
\(222\) −12.9282 12.9282i −0.867684 0.867684i
\(223\) −7.92820 7.92820i −0.530912 0.530912i 0.389932 0.920844i \(-0.372499\pi\)
−0.920844 + 0.389932i \(0.872499\pi\)
\(224\) 6.53590 + 13.4641i 0.436698 + 0.899608i
\(225\) −2.92820 2.19615i −0.195214 0.146410i
\(226\) 5.07180i 0.337371i
\(227\) −3.43782 + 12.8301i −0.228176 + 0.851565i 0.752931 + 0.658100i \(0.228639\pi\)
−0.981107 + 0.193466i \(0.938027\pi\)
\(228\) 9.46410 9.46410i 0.626775 0.626775i
\(229\) 13.3923 + 7.73205i 0.884988 + 0.510948i 0.872300 0.488971i \(-0.162628\pi\)
0.0126885 + 0.999919i \(0.495961\pi\)
\(230\) −2.70577 + 4.09808i −0.178413 + 0.270219i
\(231\) 0.267949 3.73205i 0.0176298 0.245551i
\(232\) 8.92820 + 8.92820i 0.586165 + 0.586165i
\(233\) −1.90192 7.09808i −0.124599 0.465010i 0.875226 0.483714i \(-0.160713\pi\)
−0.999825 + 0.0187040i \(0.994046\pi\)
\(234\) −2.19615 + 3.80385i −0.143567 + 0.248665i
\(235\) −1.43782 + 0.294229i −0.0937932 + 0.0191934i
\(236\) −8.92820 15.4641i −0.581177 1.00663i
\(237\) 17.6603 + 17.6603i 1.14716 + 1.14716i
\(238\) −3.00000 15.5885i −0.194461 1.01045i
\(239\) 4.73205i 0.306091i 0.988219 + 0.153045i \(0.0489081\pi\)
−0.988219 + 0.153045i \(0.951092\pi\)
\(240\) 5.46410 16.3923i 0.352706 1.05812i
\(241\) −17.6603 + 10.1962i −1.13760 + 0.656792i −0.945834 0.324649i \(-0.894754\pi\)
−0.191763 + 0.981441i \(0.561420\pi\)
\(242\) 3.83013 + 14.2942i 0.246210 + 0.918868i
\(243\) −1.92820 7.19615i −0.123694 0.461633i
\(244\) −17.1962 9.92820i −1.10087 0.635588i
\(245\) 10.4019 11.6962i 0.664555 0.747240i
\(246\) −0.633975 1.09808i −0.0404207 0.0700108i
\(247\) −14.1962 + 3.80385i −0.903280 + 0.242033i
\(248\) 27.8564 + 7.46410i 1.76888 + 0.473971i
\(249\) −10.7942 + 6.23205i −0.684056 + 0.394940i
\(250\) −9.00000 13.0000i −0.569210 0.822192i
\(251\) −19.6603 −1.24094 −0.620472 0.784229i \(-0.713059\pi\)
−0.620472 + 0.784229i \(0.713059\pi\)
\(252\) −2.53590 2.92820i −0.159747 0.184459i
\(253\) 0.803848 + 0.803848i 0.0505375 + 0.0505375i
\(254\) −22.0000 −1.38040
\(255\) −10.0981 + 15.2942i −0.632366 + 0.957762i
\(256\) 16.0000 1.00000
\(257\) 6.92820 + 25.8564i 0.432169 + 1.61288i 0.747751 + 0.663980i \(0.231134\pi\)
−0.315581 + 0.948899i \(0.602199\pi\)
\(258\) 8.83013 + 2.36603i 0.549740 + 0.147302i
\(259\) −17.6603 1.26795i −1.09735 0.0787865i
\(260\) −14.1962 + 12.5885i −0.880408 + 0.780703i
\(261\) −2.83013 1.63397i −0.175180 0.101140i
\(262\) −2.73205 10.1962i −0.168787 0.629920i
\(263\) 0.401924 + 0.107695i 0.0247837 + 0.00664077i 0.271190 0.962526i \(-0.412583\pi\)
−0.246406 + 0.969167i \(0.579250\pi\)
\(264\) −3.46410 2.00000i −0.213201 0.123091i
\(265\) −6.58846 2.19615i −0.404726 0.134909i
\(266\) 0.928203 12.9282i 0.0569118 0.792679i
\(267\) 23.4904 23.4904i 1.43759 1.43759i
\(268\) −2.07180 + 7.73205i −0.126555 + 0.472310i
\(269\) −3.06218 + 1.76795i −0.186704 + 0.107794i −0.590439 0.807082i \(-0.701045\pi\)
0.403734 + 0.914876i \(0.367712\pi\)
\(270\) 0.830127 13.8301i 0.0505199 0.841675i
\(271\) 10.3923 + 6.00000i 0.631288 + 0.364474i 0.781251 0.624218i \(-0.214582\pi\)
−0.149963 + 0.988692i \(0.547915\pi\)
\(272\) −16.3923 4.39230i −0.993929 0.266323i
\(273\) 4.09808 + 21.2942i 0.248027 + 1.28879i
\(274\) −6.00000 10.3923i −0.362473 0.627822i
\(275\) −3.36603 + 1.43782i −0.202979 + 0.0867039i
\(276\) 6.00000 0.361158
\(277\) −18.7583 5.02628i −1.12708 0.302000i −0.353334 0.935497i \(-0.614952\pi\)
−0.773745 + 0.633497i \(0.781619\pi\)
\(278\) 1.26795 + 1.26795i 0.0760465 + 0.0760465i
\(279\) −7.46410 −0.446864
\(280\) −6.39230 15.4641i −0.382013 0.924157i
\(281\) −24.2487 −1.44656 −0.723278 0.690557i \(-0.757366\pi\)
−0.723278 + 0.690557i \(0.757366\pi\)
\(282\) 1.26795 + 1.26795i 0.0755053 + 0.0755053i
\(283\) 13.5622 + 3.63397i 0.806188 + 0.216017i 0.638299 0.769789i \(-0.279638\pi\)
0.167889 + 0.985806i \(0.446305\pi\)
\(284\) 30.9282i 1.83525i
\(285\) −11.1962 + 9.92820i −0.663203 + 0.588096i
\(286\) 2.19615 + 3.80385i 0.129861 + 0.224926i
\(287\) −1.16025 0.401924i −0.0684876 0.0237248i
\(288\) −4.00000 + 1.07180i −0.235702 + 0.0631562i
\(289\) 0.866025 + 0.500000i 0.0509427 + 0.0294118i
\(290\) −9.36603 10.5622i −0.549992 0.620232i
\(291\) −14.8301 + 8.56218i −0.869357 + 0.501924i
\(292\) 16.1962 + 4.33975i 0.947808 + 0.253964i
\(293\) 4.19615 4.19615i 0.245142 0.245142i −0.573832 0.818973i \(-0.694544\pi\)
0.818973 + 0.573832i \(0.194544\pi\)
\(294\) −18.9282 2.73205i −1.10392 0.159336i
\(295\) 8.92820 + 17.8564i 0.519820 + 1.03964i
\(296\) −9.46410 + 16.3923i −0.550090 + 0.952783i
\(297\) −3.09808 0.830127i −0.179769 0.0481689i
\(298\) −8.29423 30.9545i −0.480472 1.79315i
\(299\) −5.70577 3.29423i −0.329973 0.190510i
\(300\) −7.19615 + 17.9282i −0.415470 + 1.03509i
\(301\) 7.96410 3.86603i 0.459043 0.222834i
\(302\) −18.8564 5.05256i −1.08506 0.290742i
\(303\) −5.06218 18.8923i −0.290815 1.08533i
\(304\) −12.0000 6.92820i −0.688247 0.397360i
\(305\) 18.5263 + 12.2321i 1.06081 + 0.700405i
\(306\) 4.39230 0.251091
\(307\) −0.758330 0.758330i −0.0432802 0.0432802i 0.685135 0.728416i \(-0.259743\pi\)
−0.728416 + 0.685135i \(0.759743\pi\)
\(308\) −3.80385 + 0.732051i −0.216744 + 0.0417125i
\(309\) 24.8564 1.41403
\(310\) −30.5885 10.1962i −1.73731 0.579103i
\(311\) 21.5885 12.4641i 1.22417 0.706774i 0.258365 0.966047i \(-0.416816\pi\)
0.965804 + 0.259273i \(0.0834829\pi\)
\(312\) 22.3923 + 6.00000i 1.26771 + 0.339683i
\(313\) −16.1244 + 4.32051i −0.911402 + 0.244210i −0.683907 0.729570i \(-0.739720\pi\)
−0.227496 + 0.973779i \(0.573054\pi\)
\(314\) 12.4641 + 21.5885i 0.703390 + 1.21831i
\(315\) 2.63397 + 3.43782i 0.148408 + 0.193699i
\(316\) 12.9282 22.3923i 0.727268 1.25967i
\(317\) 1.16987 + 4.36603i 0.0657066 + 0.245220i 0.990966 0.134115i \(-0.0428192\pi\)
−0.925259 + 0.379336i \(0.876153\pi\)
\(318\) 2.19615 + 8.19615i 0.123154 + 0.459617i
\(319\) −2.83013 + 1.63397i −0.158457 + 0.0914850i
\(320\) −17.8564 1.07180i −0.998203 0.0599153i
\(321\) 10.6603i 0.594997i
\(322\) 4.39230 3.80385i 0.244774 0.211980i
\(323\) 10.3923 + 10.3923i 0.578243 + 0.578243i
\(324\) −18.4641 + 10.6603i −1.02578 + 0.592236i
\(325\) 16.6865 13.0981i 0.925602 0.726551i
\(326\) −2.66025 + 4.60770i −0.147338 + 0.255197i
\(327\) 2.13397 + 7.96410i 0.118009 + 0.440416i
\(328\) −0.928203 + 0.928203i −0.0512514 + 0.0512514i
\(329\) 1.73205 + 0.124356i 0.0954911 + 0.00685595i
\(330\) 3.73205 + 2.46410i 0.205443 + 0.135644i
\(331\) 6.29423 + 3.63397i 0.345962 + 0.199741i 0.662905 0.748703i \(-0.269323\pi\)
−0.316943 + 0.948444i \(0.602656\pi\)
\(332\) 9.12436 + 9.12436i 0.500764 + 0.500764i
\(333\) 1.26795 4.73205i 0.0694832 0.259315i
\(334\) 6.58846i 0.360504i
\(335\) 2.83013 8.49038i 0.154626 0.463879i
\(336\) −11.4641 + 16.9282i −0.625418 + 0.923509i
\(337\) −19.6603 19.6603i −1.07096 1.07096i −0.997282 0.0736804i \(-0.976526\pi\)
−0.0736804 0.997282i \(-0.523474\pi\)
\(338\) −5.00000 5.00000i −0.271964 0.271964i
\(339\) 6.00000 3.46410i 0.325875 0.188144i
\(340\) 18.0000 + 6.00000i 0.976187 + 0.325396i
\(341\) −3.73205 + 6.46410i −0.202102 + 0.350051i
\(342\) 3.46410 + 0.928203i 0.187317 + 0.0501915i
\(343\) −15.5885 + 10.0000i −0.841698 + 0.539949i
\(344\) 9.46410i 0.510270i
\(345\) −6.69615 0.401924i −0.360509 0.0216388i
\(346\) −0.588457 0.339746i −0.0316357 0.0182649i
\(347\) 34.9186 + 9.35641i 1.87453 + 0.502278i 0.999845 + 0.0175817i \(0.00559672\pi\)
0.874682 + 0.484697i \(0.161070\pi\)
\(348\) −4.46410 + 16.6603i −0.239301 + 0.893083i
\(349\) 19.9808i 1.06955i 0.844996 + 0.534773i \(0.179603\pi\)
−0.844996 + 0.534773i \(0.820397\pi\)
\(350\) 6.09808 + 17.6865i 0.325956 + 0.945385i
\(351\) 18.5885 0.992178
\(352\) −1.07180 + 4.00000i −0.0571270 + 0.213201i
\(353\) −6.80385 + 25.3923i −0.362132 + 1.35150i 0.509135 + 0.860687i \(0.329965\pi\)
−0.871267 + 0.490809i \(0.836701\pi\)
\(354\) 12.1962 21.1244i 0.648218 1.12275i
\(355\) −2.07180 + 34.5167i −0.109960 + 1.83195i
\(356\) −29.7846 17.1962i −1.57858 0.911394i
\(357\) 16.3923 14.1962i 0.867573 0.751340i
\(358\) 19.1962 + 5.14359i 1.01455 + 0.271847i
\(359\) −4.09808 2.36603i −0.216288 0.124874i 0.387942 0.921684i \(-0.373186\pi\)
−0.604230 + 0.796810i \(0.706519\pi\)
\(360\) 4.53590 0.928203i 0.239063 0.0489206i
\(361\) −3.50000 6.06218i −0.184211 0.319062i
\(362\) 22.5167 22.5167i 1.18345 1.18345i
\(363\) −14.2942 + 14.2942i −0.750252 + 0.750252i
\(364\) 20.1962 9.80385i 1.05857 0.513861i
\(365\) −17.7846 5.92820i −0.930889 0.310296i
\(366\) 27.1244i 1.41781i
\(367\) 8.06218 + 2.16025i 0.420842 + 0.112764i 0.463024 0.886346i \(-0.346764\pi\)
−0.0421820 + 0.999110i \(0.513431\pi\)
\(368\) −1.60770 6.00000i −0.0838069 0.312772i
\(369\) 0.169873 0.294229i 0.00884323 0.0153169i
\(370\) 11.6603 17.6603i 0.606188 0.918113i
\(371\) 6.80385 + 4.60770i 0.353238 + 0.239220i
\(372\) 10.1962 + 38.0526i 0.528646 + 1.97293i
\(373\) −9.46410 + 2.53590i −0.490033 + 0.131304i −0.495370 0.868682i \(-0.664968\pi\)
0.00533769 + 0.999986i \(0.498301\pi\)
\(374\) 2.19615 3.80385i 0.113560 0.196692i
\(375\) 9.23205 19.5263i 0.476741 1.00833i
\(376\) 0.928203 1.60770i 0.0478684 0.0829105i
\(377\) 13.3923 13.3923i 0.689739 0.689739i
\(378\) −5.36603 + 15.4904i −0.275999 + 0.796739i
\(379\) −30.2487 −1.55377 −0.776886 0.629641i \(-0.783202\pi\)
−0.776886 + 0.629641i \(0.783202\pi\)
\(380\) 12.9282 + 8.53590i 0.663203 + 0.437882i
\(381\) −15.0263 26.0263i −0.769820 1.33337i
\(382\) 1.14359 + 4.26795i 0.0585113 + 0.218367i
\(383\) −7.33013 + 1.96410i −0.374552 + 0.100361i −0.441184 0.897417i \(-0.645441\pi\)
0.0666319 + 0.997778i \(0.478775\pi\)
\(384\) 10.9282 + 18.9282i 0.557678 + 0.965926i
\(385\) 4.29423 0.562178i 0.218854 0.0286512i
\(386\) −14.6603 + 8.46410i −0.746187 + 0.430811i
\(387\) 0.633975 + 2.36603i 0.0322267 + 0.120272i
\(388\) 12.5359 + 12.5359i 0.636414 + 0.636414i
\(389\) −7.53590 13.0526i −0.382085 0.661791i 0.609275 0.792959i \(-0.291461\pi\)
−0.991360 + 0.131168i \(0.958127\pi\)
\(390\) −24.5885 8.19615i −1.24508 0.415028i
\(391\) 6.58846i 0.333193i
\(392\) 2.33975 + 19.6603i 0.118175 + 0.992993i
\(393\) 10.1962 10.1962i 0.514328 0.514328i
\(394\) 11.0718i 0.557789i
\(395\) −15.9282 + 24.1244i −0.801435 + 1.21383i
\(396\) 1.07180i 0.0538598i
\(397\) −21.7583 + 5.83013i −1.09202 + 0.292606i −0.759511 0.650495i \(-0.774562\pi\)
−0.332508 + 0.943100i \(0.607895\pi\)
\(398\) 4.73205 + 1.26795i 0.237196 + 0.0635566i
\(399\) 15.9282 7.73205i 0.797408 0.387087i
\(400\) 19.8564 + 2.39230i 0.992820 + 0.119615i
\(401\) 15.3564 26.5981i 0.766862 1.32824i −0.172394 0.985028i \(-0.555150\pi\)
0.939256 0.343216i \(-0.111516\pi\)
\(402\) −10.5622 + 2.83013i −0.526794 + 0.141154i
\(403\) 11.1962 41.7846i 0.557720 2.08144i
\(404\) −17.5359 + 10.1244i −0.872444 + 0.503706i
\(405\) 21.3205 10.6603i 1.05942 0.529712i
\(406\) 7.29423 + 15.0263i 0.362006 + 0.745742i
\(407\) −3.46410 3.46410i −0.171709 0.171709i
\(408\) −6.00000 22.3923i −0.297044 1.10858i
\(409\) −5.69615 9.86603i −0.281657 0.487844i 0.690136 0.723679i \(-0.257551\pi\)
−0.971793 + 0.235836i \(0.924217\pi\)
\(410\) 1.09808 0.973721i 0.0542301 0.0480886i
\(411\) 8.19615 14.1962i 0.404286 0.700245i
\(412\) −6.66025 24.8564i −0.328127 1.22459i
\(413\) −4.46410 23.1962i −0.219664 1.14141i
\(414\) 0.803848 + 1.39230i 0.0395070 + 0.0684280i
\(415\) −9.57180 10.7942i −0.469861 0.529868i
\(416\) 24.0000i 1.17670i
\(417\) −0.633975 + 2.36603i −0.0310459 + 0.115865i
\(418\) 2.53590 2.53590i 0.124035 0.124035i
\(419\) 2.39230i 0.116872i 0.998291 + 0.0584359i \(0.0186113\pi\)
−0.998291 + 0.0584359i \(0.981389\pi\)
\(420\) 13.9282 18.1244i 0.679627 0.884378i
\(421\) 30.1244i 1.46817i 0.679057 + 0.734086i \(0.262389\pi\)
−0.679057 + 0.734086i \(0.737611\pi\)
\(422\) −20.5359 20.5359i −0.999672 0.999672i
\(423\) −0.124356 + 0.464102i −0.00604638 + 0.0225654i
\(424\) 7.60770 4.39230i 0.369462 0.213309i
\(425\) −19.6865 7.90192i −0.954937 0.383300i
\(426\) 36.5885 21.1244i 1.77272 1.02348i
\(427\) −17.1962 19.8564i −0.832180 0.960919i
\(428\) 10.6603 2.85641i 0.515283 0.138070i
\(429\) −3.00000 + 5.19615i −0.144841 + 0.250873i
\(430\) −0.633975 + 10.5622i −0.0305730 + 0.509353i
\(431\) 6.63397 + 11.4904i 0.319547 + 0.553472i 0.980394 0.197049i \(-0.0631358\pi\)
−0.660846 + 0.750521i \(0.729802\pi\)
\(432\) 12.3923 + 12.3923i 0.596225 + 0.596225i
\(433\) 11.4641 + 11.4641i 0.550930 + 0.550930i 0.926709 0.375780i \(-0.122625\pi\)
−0.375780 + 0.926709i \(0.622625\pi\)
\(434\) 31.5885 + 21.3923i 1.51629 + 1.02686i
\(435\) 6.09808 18.2942i 0.292380 0.877141i
\(436\) 7.39230 4.26795i 0.354027 0.204398i
\(437\) −1.39230 + 5.19615i −0.0666030 + 0.248566i
\(438\) 5.92820 + 22.1244i 0.283261 + 1.05714i
\(439\) 2.66025 4.60770i 0.126967 0.219913i −0.795533 0.605910i \(-0.792809\pi\)
0.922500 + 0.385997i \(0.126142\pi\)
\(440\) 1.46410 4.39230i 0.0697983 0.209395i
\(441\) −1.90192 4.75833i −0.0905678 0.226587i
\(442\) −6.58846 + 24.5885i −0.313381 + 1.16955i
\(443\) 33.3564 8.93782i 1.58481 0.424649i 0.644400 0.764689i \(-0.277107\pi\)
0.940411 + 0.340040i \(0.110441\pi\)
\(444\) −25.8564 −1.22709
\(445\) 32.0885 + 21.1865i 1.52114 + 1.00434i
\(446\) −15.8564 −0.750823
\(447\) 30.9545 30.9545i 1.46410 1.46410i
\(448\) 20.0000 + 6.92820i 0.944911 + 0.327327i
\(449\) 23.1962i 1.09469i 0.836906 + 0.547347i \(0.184362\pi\)
−0.836906 + 0.547347i \(0.815638\pi\)
\(450\) −5.12436 + 0.732051i −0.241564 + 0.0345092i
\(451\) −0.169873 0.294229i −0.00799901 0.0138547i
\(452\) −5.07180 5.07180i −0.238557 0.238557i
\(453\) −6.90192 25.7583i −0.324281 1.21023i
\(454\) 9.39230 + 16.2679i 0.440803 + 0.763493i
\(455\) −23.1962 + 9.58846i −1.08745 + 0.449514i
\(456\) 18.9282i 0.886394i
\(457\) 13.9282 3.73205i 0.651534 0.174578i 0.0821116 0.996623i \(-0.473834\pi\)
0.569422 + 0.822045i \(0.307167\pi\)
\(458\) 21.1244 5.66025i 0.987076 0.264486i
\(459\) −9.29423 16.0981i −0.433817 0.751394i
\(460\) 1.39230 + 6.80385i 0.0649165 + 0.317231i
\(461\) −12.1436 −0.565584 −0.282792 0.959181i \(-0.591261\pi\)
−0.282792 + 0.959181i \(0.591261\pi\)
\(462\) −3.46410 4.00000i −0.161165 0.186097i
\(463\) 0.830127 0.830127i 0.0385793 0.0385793i −0.687554 0.726133i \(-0.741316\pi\)
0.726133 + 0.687554i \(0.241316\pi\)
\(464\) 17.8564 0.828963
\(465\) −8.83013 43.1506i −0.409487 2.00106i
\(466\) −9.00000 5.19615i −0.416917 0.240707i
\(467\) 6.23205 1.66987i 0.288385 0.0772725i −0.111727 0.993739i \(-0.535638\pi\)
0.400111 + 0.916466i \(0.368971\pi\)
\(468\) 1.60770 + 6.00000i 0.0743157 + 0.277350i
\(469\) −5.93782 + 8.76795i −0.274183 + 0.404866i
\(470\) −1.14359 + 1.73205i −0.0527500 + 0.0798935i
\(471\) −17.0263 + 29.4904i −0.784530 + 1.35885i
\(472\) −24.3923 6.53590i −1.12275 0.300839i
\(473\) 2.36603 + 0.633975i 0.108790 + 0.0291502i
\(474\) 35.3205 1.62232
\(475\) −13.8564 10.3923i −0.635776 0.476832i
\(476\) −18.5885 12.5885i −0.852001 0.576991i
\(477\) −1.60770 + 1.60770i −0.0736113 + 0.0736113i
\(478\) 4.73205 + 4.73205i 0.216439 + 0.216439i
\(479\) −1.90192 3.29423i −0.0869011 0.150517i 0.819299 0.573367i \(-0.194363\pi\)
−0.906200 + 0.422850i \(0.861030\pi\)
\(480\) −10.9282 21.8564i −0.498802 0.997604i
\(481\) 24.5885 + 14.1962i 1.12114 + 0.647289i
\(482\) −7.46410 + 27.8564i −0.339981 + 1.26882i
\(483\) 7.50000 + 2.59808i 0.341262 + 0.118217i
\(484\) 18.1244 + 10.4641i 0.823834 + 0.475641i
\(485\) −13.1506 14.8301i −0.597140 0.673401i
\(486\) −9.12436 5.26795i −0.413889 0.238959i
\(487\) 5.09808 19.0263i 0.231016 0.862163i −0.748889 0.662696i \(-0.769412\pi\)
0.979905 0.199467i \(-0.0639211\pi\)
\(488\) −27.1244 + 7.26795i −1.22786 + 0.329005i
\(489\) −7.26795 −0.328668
\(490\) −1.29423 22.0981i −0.0584673 0.998289i
\(491\) 12.1962i 0.550405i 0.961386 + 0.275202i \(0.0887448\pi\)
−0.961386 + 0.275202i \(0.911255\pi\)
\(492\) −1.73205 0.464102i −0.0780869 0.0209233i
\(493\) −18.2942 4.90192i −0.823931 0.220772i
\(494\) −10.3923 + 18.0000i −0.467572 + 0.809858i
\(495\) −0.0717968 + 1.19615i −0.00322702 + 0.0537631i
\(496\) 35.3205 20.3923i 1.58594 0.915642i
\(497\) 13.3923 38.6603i 0.600727 1.73415i
\(498\) −4.56218 + 17.0263i −0.204436 + 0.762966i
\(499\) 6.75833 11.7058i 0.302544 0.524022i −0.674167 0.738579i \(-0.735497\pi\)
0.976712 + 0.214556i \(0.0688306\pi\)
\(500\) −22.0000 4.00000i −0.983870 0.178885i
\(501\) −7.79423 + 4.50000i −0.348220 + 0.201045i
\(502\) −19.6603 + 19.6603i −0.877480 + 0.877480i
\(503\) 22.6865 + 22.6865i 1.01154 + 1.01154i 0.999933 + 0.0116099i \(0.00369564\pi\)
0.0116099 + 0.999933i \(0.496304\pi\)
\(504\) −5.46410 0.392305i −0.243390 0.0174746i
\(505\) 20.2487 10.1244i 0.901056 0.450528i
\(506\) 1.60770 0.0714708
\(507\) 2.50000 9.33013i 0.111029 0.414365i
\(508\) −22.0000 + 22.0000i −0.976092 + 0.976092i
\(509\) 9.57180 + 5.52628i 0.424262 + 0.244948i 0.696899 0.717169i \(-0.254562\pi\)
−0.272637 + 0.962117i \(0.587896\pi\)
\(510\) 5.19615 + 25.3923i 0.230089 + 1.12439i
\(511\) 18.3660 + 12.4378i 0.812465 + 0.550217i
\(512\) 16.0000 16.0000i 0.707107 0.707107i
\(513\) −3.92820 14.6603i −0.173434 0.647266i
\(514\) 32.7846 + 18.9282i 1.44607 + 0.834887i
\(515\) 5.76795 + 28.1865i 0.254166 + 1.24205i
\(516\) 11.1962 6.46410i 0.492883 0.284566i
\(517\) 0.339746 + 0.339746i 0.0149420 + 0.0149420i
\(518\) −18.9282 + 16.3923i −0.831658 + 0.720237i
\(519\) 0.928203i 0.0407436i
\(520\) −1.60770 + 26.7846i −0.0705021 + 1.17458i
\(521\) 7.39230 4.26795i 0.323863 0.186982i −0.329250 0.944243i \(-0.606796\pi\)
0.653113 + 0.757260i \(0.273463\pi\)
\(522\) −4.46410 + 1.19615i −0.195388 + 0.0523542i
\(523\) 6.50962 + 24.2942i 0.284646 + 1.06231i 0.949098 + 0.314982i \(0.101998\pi\)
−0.664452 + 0.747331i \(0.731335\pi\)
\(524\) −12.9282 7.46410i −0.564771 0.326071i
\(525\) −16.7583 + 19.2942i −0.731393 + 0.842069i
\(526\) 0.509619 0.294229i 0.0222204 0.0128290i
\(527\) −41.7846 + 11.1962i −1.82017 + 0.487712i
\(528\) −5.46410 + 1.46410i −0.237795 + 0.0637168i
\(529\) 17.8301 10.2942i 0.775223 0.447575i
\(530\) −8.78461 + 4.39230i −0.381579 + 0.190790i
\(531\) 6.53590 0.283634
\(532\) −12.0000 13.8564i −0.520266 0.600751i
\(533\) 1.39230 + 1.39230i 0.0603074 + 0.0603074i
\(534\) 46.9808i 2.03306i
\(535\) −12.0885 + 2.47372i −0.522630 + 0.106948i
\(536\) 5.66025 + 9.80385i 0.244486 + 0.423462i
\(537\) 7.02628 + 26.2224i 0.303206 + 1.13158i
\(538\) −1.29423 + 4.83013i −0.0557982 + 0.208242i
\(539\) −5.07180 0.732051i −0.218458 0.0315317i
\(540\) −13.0000 14.6603i −0.559431 0.630877i
\(541\) 1.79423 + 1.03590i 0.0771399 + 0.0445368i 0.538074 0.842898i \(-0.319152\pi\)
−0.460934 + 0.887434i \(0.652485\pi\)
\(542\) 16.3923 4.39230i 0.704110 0.188666i
\(543\) 42.0167 + 11.2583i 1.80311 + 0.483141i
\(544\) −20.7846 + 12.0000i −0.891133 + 0.514496i
\(545\) −8.53590 + 4.26795i −0.365638 + 0.182819i
\(546\) 25.3923 + 17.1962i 1.08669 + 0.735927i
\(547\) −14.4904 + 14.4904i −0.619564 + 0.619564i −0.945420 0.325856i \(-0.894348\pi\)
0.325856 + 0.945420i \(0.394348\pi\)
\(548\) −16.3923 4.39230i −0.700245 0.187630i
\(549\) 6.29423 3.63397i 0.268631 0.155094i
\(550\) −1.92820 + 4.80385i −0.0822189 + 0.204837i
\(551\) −13.3923 7.73205i −0.570531 0.329396i
\(552\) 6.00000 6.00000i 0.255377 0.255377i
\(553\) 25.8564 22.3923i 1.09953 0.952218i
\(554\) −23.7846 + 13.7321i −1.01051 + 0.583419i
\(555\) 28.8564 + 1.73205i 1.22489 + 0.0735215i
\(556\) 2.53590 0.107546
\(557\) −30.7583 8.24167i −1.30327 0.349211i −0.460586 0.887615i \(-0.652361\pi\)
−0.842687 + 0.538404i \(0.819027\pi\)
\(558\) −7.46410 + 7.46410i −0.315981 + 0.315981i
\(559\) −14.1962 −0.600433
\(560\) −21.8564 9.07180i −0.923602 0.383353i
\(561\) 6.00000 0.253320
\(562\) −24.2487 + 24.2487i −1.02287 + 1.02287i
\(563\) −26.3564 7.06218i −1.11079 0.297635i −0.343639 0.939102i \(-0.611660\pi\)
−0.767151 + 0.641466i \(0.778326\pi\)
\(564\) 2.53590 0.106781
\(565\) 5.32051 + 6.00000i 0.223835 + 0.252422i
\(566\) 17.1962 9.92820i 0.722808 0.417314i
\(567\) −27.6962 + 5.33013i −1.16313 + 0.223844i
\(568\) −30.9282 30.9282i −1.29772 1.29772i
\(569\) −18.8038 10.8564i −0.788298 0.455124i 0.0510648 0.998695i \(-0.483738\pi\)
−0.839363 + 0.543571i \(0.817072\pi\)
\(570\) −1.26795 + 21.1244i −0.0531085 + 0.884802i
\(571\) −14.7846 + 8.53590i −0.618717 + 0.357216i −0.776369 0.630278i \(-0.782941\pi\)
0.157653 + 0.987495i \(0.449607\pi\)
\(572\) 6.00000 + 1.60770i 0.250873 + 0.0672211i
\(573\) −4.26795 + 4.26795i −0.178296 + 0.178296i
\(574\) −1.56218 + 0.758330i −0.0652040 + 0.0316521i
\(575\) −1.09808 7.68653i −0.0457929 0.320551i
\(576\) −2.92820 + 5.07180i −0.122008 + 0.211325i
\(577\) −16.4904 4.41858i −0.686504 0.183948i −0.101326 0.994853i \(-0.532309\pi\)
−0.585178 + 0.810905i \(0.698975\pi\)
\(578\) 1.36603 0.366025i 0.0568192 0.0152246i
\(579\) −20.0263 11.5622i −0.832264 0.480508i
\(580\) −19.9282 1.19615i −0.827474 0.0496675i
\(581\) 7.45448 + 15.3564i 0.309264 + 0.637091i
\(582\) −6.26795 + 23.3923i −0.259815 + 0.969642i
\(583\) 0.588457 + 2.19615i 0.0243714 + 0.0909553i
\(584\) 20.5359 11.8564i 0.849782 0.490622i
\(585\) −1.39230 6.80385i −0.0575647 0.281304i
\(586\) 8.39230i 0.346683i
\(587\) 9.00000 + 9.00000i 0.371470 + 0.371470i 0.868012 0.496543i \(-0.165397\pi\)
−0.496543 + 0.868012i \(0.665397\pi\)
\(588\) −21.6603 + 16.1962i −0.893254 + 0.667918i
\(589\) −35.3205 −1.45536
\(590\) 26.7846 + 8.92820i 1.10270 + 0.367568i
\(591\) −13.0981 + 7.56218i −0.538783 + 0.311066i
\(592\) 6.92820 + 25.8564i 0.284747 + 1.06269i
\(593\) −14.1962 + 3.80385i −0.582966 + 0.156205i −0.538237 0.842794i \(-0.680909\pi\)
−0.0447296 + 0.998999i \(0.514243\pi\)
\(594\) −3.92820 + 2.26795i −0.161176 + 0.0930551i
\(595\) 19.9019 + 15.2942i 0.815899 + 0.627002i
\(596\) −39.2487 22.6603i −1.60769 0.928200i
\(597\) 1.73205 + 6.46410i 0.0708881 + 0.264558i
\(598\) −9.00000 + 2.41154i −0.368037 + 0.0986153i
\(599\) −21.0000 + 12.1244i −0.858037 + 0.495388i −0.863354 0.504598i \(-0.831641\pi\)
0.00531761 + 0.999986i \(0.498307\pi\)
\(600\) 10.7321 + 25.1244i 0.438134 + 1.02570i
\(601\) 28.3923i 1.15815i 0.815276 + 0.579073i \(0.196585\pi\)
−0.815276 + 0.579073i \(0.803415\pi\)
\(602\) 4.09808 11.8301i 0.167025 0.482160i
\(603\) −2.07180 2.07180i −0.0843701 0.0843701i
\(604\) −23.9090 + 13.8038i −0.972842 + 0.561671i
\(605\) −19.5263 12.8923i −0.793856 0.524147i
\(606\) −23.9545 13.8301i −0.973084 0.561811i
\(607\) −6.16025 22.9904i −0.250037 0.933151i −0.970784 0.239953i \(-0.922868\pi\)
0.720747 0.693198i \(-0.243799\pi\)
\(608\) −18.9282 + 5.07180i −0.767640 + 0.205689i
\(609\) −12.7942 + 18.8923i −0.518448 + 0.765555i
\(610\) 30.7583 6.29423i 1.24537 0.254846i
\(611\) −2.41154 1.39230i −0.0975606 0.0563266i
\(612\) 4.39230 4.39230i 0.177548 0.177548i
\(613\) −1.43782 + 5.36603i −0.0580731 + 0.216732i −0.988864 0.148819i \(-0.952453\pi\)
0.930791 + 0.365551i \(0.119119\pi\)
\(614\) −1.51666 −0.0612074
\(615\) 1.90192 + 0.633975i 0.0766930 + 0.0255643i
\(616\) −3.07180 + 4.53590i −0.123766 + 0.182757i
\(617\) −0.928203 0.928203i −0.0373681 0.0373681i 0.688176 0.725544i \(-0.258412\pi\)
−0.725544 + 0.688176i \(0.758412\pi\)
\(618\) 24.8564 24.8564i 0.999871 0.999871i
\(619\) 15.2942 8.83013i 0.614727 0.354913i −0.160086 0.987103i \(-0.551177\pi\)
0.774813 + 0.632190i \(0.217844\pi\)
\(620\) −40.7846 + 20.3923i −1.63795 + 0.818975i
\(621\) 3.40192 5.89230i 0.136514 0.236450i
\(622\) 9.12436 34.0526i 0.365853 1.36538i
\(623\) −29.7846 34.3923i −1.19330 1.37790i
\(624\) 28.3923 16.3923i 1.13660 0.656217i
\(625\) 24.2846 + 5.93782i 0.971384 + 0.237513i
\(626\) −11.8038 + 20.4449i −0.471777 + 0.817141i
\(627\) 4.73205 + 1.26795i 0.188980 + 0.0506370i
\(628\) 34.0526 + 9.12436i 1.35885 + 0.364101i
\(629\) 28.3923i 1.13208i
\(630\) 6.07180 + 0.803848i 0.241906 + 0.0320261i
\(631\) −7.26795 −0.289332 −0.144666 0.989481i \(-0.546211\pi\)
−0.144666 + 0.989481i \(0.546211\pi\)
\(632\) −9.46410 35.3205i −0.376462 1.40497i
\(633\) 10.2679 38.3205i 0.408114 1.52310i
\(634\) 5.53590 + 3.19615i 0.219859 + 0.126935i
\(635\) 26.0263 23.0788i 1.03282 0.915856i
\(636\) 10.3923 + 6.00000i 0.412082 + 0.237915i
\(637\) 29.4904 3.50962i 1.16845 0.139056i
\(638\) −1.19615 + 4.46410i −0.0473561 + 0.176735i
\(639\) 9.80385 + 5.66025i 0.387834 + 0.223916i
\(640\) −18.9282 + 16.7846i −0.748203 + 0.663470i
\(641\) 16.3301 + 28.2846i 0.645001 + 1.11717i 0.984301 + 0.176497i \(0.0564765\pi\)
−0.339300 + 0.940678i \(0.610190\pi\)
\(642\) 10.6603 + 10.6603i 0.420727 + 0.420727i
\(643\) 9.00000 9.00000i 0.354925 0.354925i −0.507013 0.861938i \(-0.669250\pi\)
0.861938 + 0.507013i \(0.169250\pi\)
\(644\) 0.588457 8.19615i 0.0231885 0.322974i
\(645\) −12.9282 + 6.46410i −0.509048 + 0.254524i
\(646\) 20.7846 0.817760
\(647\) 26.2583 + 7.03590i 1.03232 + 0.276610i 0.734928 0.678145i \(-0.237216\pi\)
0.297394 + 0.954755i \(0.403883\pi\)
\(648\) −7.80385 + 29.1244i −0.306564 + 1.14411i
\(649\) 3.26795 5.66025i 0.128278 0.222184i
\(650\) 3.58846 29.7846i 0.140751 1.16825i
\(651\) −3.73205 + 51.9808i −0.146271 + 2.03729i
\(652\) 1.94744 + 7.26795i 0.0762677 + 0.284635i
\(653\) −31.4186 + 8.41858i −1.22950 + 0.329445i −0.814386 0.580323i \(-0.802926\pi\)
−0.415118 + 0.909768i \(0.636260\pi\)
\(654\) 10.0981 + 5.83013i 0.394866 + 0.227976i
\(655\) 13.9282 + 9.19615i 0.544220 + 0.359323i
\(656\) 1.85641i 0.0724805i
\(657\) −4.33975 + 4.33975i −0.169310 + 0.169310i
\(658\) 1.85641 1.60770i 0.0723703 0.0626745i
\(659\) 39.3205 1.53171 0.765855 0.643014i \(-0.222316\pi\)
0.765855 + 0.643014i \(0.222316\pi\)
\(660\) 6.19615 1.26795i 0.241185 0.0493549i
\(661\) −19.9641 34.5788i −0.776514 1.34496i −0.933940 0.357430i \(-0.883653\pi\)
0.157426 0.987531i \(-0.449680\pi\)
\(662\) 9.92820 2.66025i 0.385871 0.103394i
\(663\) −33.5885 + 9.00000i −1.30447 + 0.349531i
\(664\) 18.2487 0.708187
\(665\) 12.4641 + 16.2679i 0.483337 + 0.630844i
\(666\) −3.46410 6.00000i −0.134231 0.232495i
\(667\) −1.79423 6.69615i −0.0694728 0.259276i
\(668\) 6.58846 + 6.58846i 0.254915 + 0.254915i
\(669\) −10.8301 18.7583i −0.418717 0.725239i
\(670\) −5.66025 11.3205i −0.218675 0.437349i
\(671\) 7.26795i 0.280576i
\(672\) 5.46410 + 28.3923i 0.210782 + 1.09526i
\(673\) −10.1962 + 10.1962i −0.393033 + 0.393033i −0.875767 0.482734i \(-0.839644\pi\)
0.482734 + 0.875767i \(0.339644\pi\)
\(674\) −39.3205 −1.51457
\(675\) 13.5263 + 17.2321i 0.520627 + 0.663262i
\(676\) −10.0000 −0.384615
\(677\) −4.56218 + 1.22243i −0.175339 + 0.0469819i −0.345420 0.938448i \(-0.612264\pi\)
0.170081 + 0.985430i \(0.445597\pi\)
\(678\) 2.53590 9.46410i 0.0973906 0.363467i
\(679\) 10.2417 + 21.0981i 0.393039 + 0.809670i
\(680\) 24.0000 12.0000i 0.920358 0.460179i
\(681\) −12.8301 + 22.2224i −0.491652 + 0.851565i
\(682\) 2.73205 + 10.1962i 0.104616 + 0.390431i
\(683\) 7.86603 29.3564i 0.300985 1.12329i −0.635362 0.772215i \(-0.719149\pi\)
0.936347 0.351077i \(-0.114184\pi\)
\(684\) 4.39230 2.53590i 0.167944 0.0969625i
\(685\) 18.0000 + 6.00000i 0.687745 + 0.229248i
\(686\) −5.58846 + 25.5885i −0.213368 + 0.976972i
\(687\) 21.1244 + 21.1244i 0.805944 + 0.805944i
\(688\) −9.46410 9.46410i −0.360815 0.360815i
\(689\) −6.58846 11.4115i −0.251000 0.434745i
\(690\) −7.09808 + 6.29423i −0.270219 + 0.239617i
\(691\) 21.7583 37.6865i 0.827726 1.43366i −0.0720922 0.997398i \(-0.522968\pi\)
0.899818 0.436265i \(-0.143699\pi\)
\(692\) −0.928203 + 0.248711i −0.0352850 + 0.00945459i
\(693\) 0.464102 1.33975i 0.0176298 0.0508927i
\(694\) 44.2750 25.5622i 1.68066 0.970327i
\(695\) −2.83013 0.169873i −0.107353 0.00644365i
\(696\) 12.1962 + 21.1244i 0.462294 + 0.800717i
\(697\) 0.509619 1.90192i 0.0193032 0.0720405i
\(698\) 19.9808 + 19.9808i 0.756283 + 0.756283i
\(699\) 14.1962i 0.536948i
\(700\) 23.7846 + 11.5885i 0.898974 + 0.438003i
\(701\) 33.9808i 1.28344i 0.766941 + 0.641718i \(0.221778\pi\)
−0.766941 + 0.641718i \(0.778222\pi\)
\(702\) 18.5885 18.5885i 0.701576 0.701576i
\(703\) 6.00000 22.3923i 0.226294 0.844542i
\(704\) 2.92820 + 5.07180i 0.110361 + 0.191151i
\(705\) −2.83013 0.169873i −0.106589 0.00639779i
\(706\) 18.5885 + 32.1962i 0.699586 + 1.21172i
\(707\) −26.3038 + 5.06218i −0.989258 + 0.190383i
\(708\) −8.92820 33.3205i −0.335542 1.25226i
\(709\) 7.96410 13.7942i 0.299098 0.518053i −0.676832 0.736138i \(-0.736648\pi\)
0.975930 + 0.218085i \(0.0699809\pi\)
\(710\) 32.4449 + 36.5885i 1.21763 + 1.37314i
\(711\) 4.73205 + 8.19615i 0.177466 + 0.307380i
\(712\) −46.9808 + 12.5885i −1.76068 + 0.471772i
\(713\) −11.1962 11.1962i −0.419299 0.419299i
\(714\) 2.19615 30.5885i 0.0821889 1.14474i
\(715\) −6.58846 2.19615i −0.246394 0.0821314i
\(716\) 24.3397 14.0526i 0.909619 0.525169i
\(717\) −2.36603 + 8.83013i −0.0883608 + 0.329767i
\(718\) −6.46410 + 1.73205i −0.241238 + 0.0646396i
\(719\) 5.36603 9.29423i 0.200119 0.346616i −0.748448 0.663194i \(-0.769200\pi\)
0.948567 + 0.316578i \(0.102534\pi\)
\(720\) 3.60770 5.46410i 0.134451 0.203635i
\(721\) 2.43782 33.9545i 0.0907892 1.26453i
\(722\) −9.56218 2.56218i −0.355867 0.0953544i
\(723\) −38.0526 + 10.1962i −1.41519 + 0.379199i
\(724\) 45.0333i 1.67365i
\(725\) 22.1603 + 2.66987i 0.823011 + 0.0991566i
\(726\) 28.5885i 1.06102i
\(727\) 17.2942 17.2942i 0.641407 0.641407i −0.309494 0.950901i \(-0.600160\pi\)
0.950901 + 0.309494i \(0.100160\pi\)
\(728\) 10.3923 30.0000i 0.385164 1.11187i
\(729\) 17.5885i 0.651424i
\(730\) −23.7128 + 11.8564i −0.877651 + 0.438825i
\(731\) 7.09808 + 12.2942i 0.262532 + 0.454718i
\(732\) −27.1244 27.1244i −1.00255 1.00255i
\(733\) −5.70577 21.2942i −0.210747 0.786520i −0.987620 0.156863i \(-0.949862\pi\)
0.776873 0.629657i \(-0.216805\pi\)
\(734\) 10.2224 5.90192i 0.377317 0.217844i
\(735\) 25.2583 16.6244i 0.931668 0.613199i
\(736\) −7.60770 4.39230i −0.280423 0.161903i
\(737\) −2.83013 + 0.758330i −0.104249 + 0.0279335i
\(738\) −0.124356 0.464102i −0.00457759 0.0170838i
\(739\) 5.83013 + 10.0981i 0.214465 + 0.371464i 0.953107 0.302634i \(-0.0978660\pi\)
−0.738642 + 0.674098i \(0.764533\pi\)
\(740\) −6.00000 29.3205i −0.220564 1.07784i
\(741\) −28.3923 −1.04302
\(742\) 11.4115 2.19615i 0.418931 0.0806233i
\(743\) −33.4186 + 33.4186i −1.22601 + 1.22601i −0.260548 + 0.965461i \(0.583903\pi\)
−0.965461 + 0.260548i \(0.916097\pi\)
\(744\) 48.2487 + 27.8564i 1.76888 + 1.02127i
\(745\) 42.2846 + 27.9186i 1.54919 + 1.02286i
\(746\) −6.92820 + 12.0000i −0.253660 + 0.439351i
\(747\) −4.56218 + 1.22243i −0.166921 + 0.0447264i
\(748\) −1.60770 6.00000i −0.0587832 0.219382i
\(749\) 14.5622 + 1.04552i 0.532090 + 0.0382024i
\(750\) −10.2942 28.7583i −0.375892 1.05011i
\(751\) 5.19615 9.00000i 0.189610 0.328415i −0.755510 0.655137i \(-0.772611\pi\)
0.945120 + 0.326722i \(0.105944\pi\)
\(752\) −0.679492 2.53590i −0.0247785 0.0924747i
\(753\) −36.6865 9.83013i −1.33693 0.358230i
\(754\) 26.7846i 0.975438i
\(755\) 27.6077 13.8038i 1.00475 0.502373i
\(756\) 10.1244 + 20.8564i 0.368219 + 0.758540i
\(757\) 37.0526 37.0526i 1.34670 1.34670i 0.457476 0.889222i \(-0.348753\pi\)
0.889222 0.457476i \(-0.151247\pi\)
\(758\) −30.2487 + 30.2487i −1.09868 + 1.09868i
\(759\) 1.09808 + 1.90192i 0.0398576 + 0.0690355i
\(760\) 21.4641 4.39230i 0.778585 0.159326i
\(761\) −30.8038 17.7846i −1.11664 0.644692i −0.176098 0.984373i \(-0.556348\pi\)
−0.940541 + 0.339681i \(0.889681\pi\)
\(762\) −41.0526 11.0000i −1.48718 0.398488i
\(763\) 11.0885 2.13397i 0.401429 0.0772551i
\(764\) 5.41154 + 3.12436i 0.195783 + 0.113035i
\(765\) −5.19615 + 4.60770i −0.187867 + 0.166592i
\(766\) −5.36603 + 9.29423i −0.193882 + 0.335814i
\(767\) −9.80385 + 36.5885i −0.353996 + 1.32113i
\(768\) 29.8564 + 8.00000i 1.07735 + 0.288675i
\(769\) −22.6410 −0.816456 −0.408228 0.912880i \(-0.633853\pi\)
−0.408228 + 0.912880i \(0.633853\pi\)
\(770\) 3.73205 4.85641i 0.134494 0.175013i
\(771\) 51.7128i