Properties

Label 280.2.bv.a.173.1
Level $280$
Weight $2$
Character 280.173
Analytic conductor $2.236$
Analytic rank $1$
Dimension $4$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

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: \(1\)
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 173.1
Root \(0.866025 - 0.500000i\) of defining polynomial
Character \(\chi\) \(=\) 280.173
Dual form 280.2.bv.a.157.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.00000 - 1.00000i) q^{2} +(-0.500000 + 1.86603i) q^{3} +2.00000i q^{4} +(-1.86603 + 1.23205i) q^{5} +(2.36603 - 1.36603i) q^{6} +(-2.50000 - 0.866025i) q^{7} +(2.00000 - 2.00000i) q^{8} +(-0.633975 - 0.366025i) q^{9} +O(q^{10})\) \(q+(-1.00000 - 1.00000i) q^{2} +(-0.500000 + 1.86603i) q^{3} +2.00000i q^{4} +(-1.86603 + 1.23205i) q^{5} +(2.36603 - 1.36603i) q^{6} +(-2.50000 - 0.866025i) q^{7} +(2.00000 - 2.00000i) q^{8} +(-0.633975 - 0.366025i) q^{9} +(3.09808 + 0.633975i) q^{10} +(0.633975 - 0.366025i) q^{11} +(-3.73205 - 1.00000i) q^{12} +(-3.00000 - 3.00000i) q^{13} +(1.63397 + 3.36603i) q^{14} +(-1.36603 - 4.09808i) q^{15} -4.00000 q^{16} +(1.09808 - 4.09808i) q^{17} +(0.267949 + 1.00000i) q^{18} +(-3.00000 - 1.73205i) q^{19} +(-2.46410 - 3.73205i) q^{20} +(2.86603 - 4.23205i) q^{21} +(-1.00000 - 0.267949i) q^{22} +(-1.50000 + 0.401924i) q^{23} +(2.73205 + 4.73205i) q^{24} +(1.96410 - 4.59808i) q^{25} +6.00000i q^{26} +(-3.09808 + 3.09808i) q^{27} +(1.73205 - 5.00000i) q^{28} +4.46410 q^{29} +(-2.73205 + 5.46410i) q^{30} +(-8.83013 + 5.09808i) q^{31} +(4.00000 + 4.00000i) q^{32} +(0.366025 + 1.36603i) q^{33} +(-5.19615 + 3.00000i) q^{34} +(5.73205 - 1.46410i) q^{35} +(0.732051 - 1.26795i) q^{36} +(-6.46410 + 1.73205i) q^{37} +(1.26795 + 4.73205i) q^{38} +(7.09808 - 4.09808i) q^{39} +(-1.26795 + 6.19615i) q^{40} -0.464102i q^{41} +(-7.09808 + 1.36603i) q^{42} +(-2.36603 + 2.36603i) q^{43} +(0.732051 + 1.26795i) q^{44} +(1.63397 - 0.0980762i) q^{45} +(1.90192 + 1.09808i) q^{46} +(0.633975 - 0.169873i) q^{47} +(2.00000 - 7.46410i) q^{48} +(5.50000 + 4.33013i) q^{49} +(-6.56218 + 2.63397i) q^{50} +(7.09808 + 4.09808i) q^{51} +(6.00000 - 6.00000i) q^{52} +(-3.00000 - 0.803848i) 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} +(13.9282 + 3.73205i) q^{62} +(1.26795 + 1.46410i) q^{63} -8.00000i q^{64} +(9.29423 + 1.90192i) q^{65} +(1.00000 - 1.73205i) q^{66} +(-1.03590 + 3.86603i) q^{67} +(8.19615 + 2.19615i) q^{68} -3.00000i q^{69} +(-7.19615 - 4.26795i) q^{70} +15.4641 q^{71} +(-2.00000 + 0.535898i) q^{72} +(-8.09808 - 2.16987i) q^{73} +(8.19615 + 4.73205i) q^{74} +(7.59808 + 5.96410i) q^{75} +(3.46410 - 6.00000i) q^{76} +(-1.90192 + 0.366025i) q^{77} +(-11.1962 - 3.00000i) q^{78} +(-11.1962 - 6.46410i) q^{79} +(7.46410 - 4.92820i) 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} +(-2.23205 + 8.33013i) q^{87} +(0.535898 - 2.00000i) q^{88} +(-8.59808 + 14.8923i) q^{89} +(-1.73205 - 1.53590i) q^{90} +(4.90192 + 10.0981i) q^{91} +(-0.803848 - 3.00000i) q^{92} +(-5.09808 - 19.0263i) q^{93} +(-0.803848 - 0.464102i) q^{94} +(7.73205 - 0.464102i) q^{95} +(-9.46410 + 5.46410i) q^{96} +(6.26795 + 6.26795i) q^{97} +(-1.16987 - 9.83013i) q^{98} -0.535898 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 4q - 4q^{2} - 2q^{3} - 4q^{5} + 6q^{6} - 10q^{7} + 8q^{8} - 6q^{9} + O(q^{10}) \) \( 4q - 4q^{2} - 2q^{3} - 4q^{5} + 6q^{6} - 10q^{7} + 8q^{8} - 6q^{9} + 2q^{10} + 6q^{11} - 8q^{12} - 12q^{13} + 10q^{14} - 2q^{15} - 16q^{16} - 6q^{17} + 8q^{18} - 12q^{19} + 4q^{20} + 8q^{21} - 4q^{22} - 6q^{23} + 4q^{24} - 6q^{25} - 2q^{27} + 4q^{29} - 4q^{30} - 18q^{31} + 16q^{32} - 2q^{33} + 16q^{35} - 4q^{36} - 12q^{37} + 12q^{38} + 18q^{39} - 12q^{40} - 18q^{42} - 6q^{43} - 4q^{44} + 10q^{45} + 18q^{46} + 6q^{47} + 8q^{48} + 22q^{49} - 2q^{50} + 18q^{51} + 24q^{52} - 12q^{53} + 4q^{54} + 4q^{55} - 20q^{56} + 12q^{57} - 4q^{58} - 24q^{59} + 12q^{60} + 6q^{61} + 28q^{62} + 12q^{63} + 6q^{65} + 4q^{66} - 18q^{67} + 12q^{68} - 8q^{70} + 48q^{71} - 8q^{72} - 22q^{73} + 12q^{74} + 20q^{75} - 18q^{77} - 24q^{78} - 24q^{79} + 16q^{80} - 4q^{81} + 12q^{82} + 6q^{83} + 20q^{84} + 12q^{85} + 12q^{86} - 2q^{87} + 16q^{88} - 24q^{89} + 30q^{91} - 24q^{92} - 10q^{93} - 24q^{94} + 24q^{95} - 24q^{96} + 32q^{97} - 22q^{98} - 16q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(57\) \(71\) \(141\) \(241\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(1\) \(-1\) \(e\left(\frac{5}{6}\right)\)

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
\(3\) −0.500000 + 1.86603i −0.288675 + 1.07735i 0.657437 + 0.753510i \(0.271641\pi\)
−0.946112 + 0.323840i \(0.895026\pi\)
\(4\) 2.00000i 1.00000i
\(5\) −1.86603 + 1.23205i −0.834512 + 0.550990i
\(6\) 2.36603 1.36603i 0.965926 0.557678i
\(7\) −2.50000 0.866025i −0.944911 0.327327i
\(8\) 2.00000 2.00000i 0.707107 0.707107i
\(9\) −0.633975 0.366025i −0.211325 0.122008i
\(10\) 3.09808 + 0.633975i 0.979698 + 0.200480i
\(11\) 0.633975 0.366025i 0.191151 0.110361i −0.401371 0.915916i \(-0.631466\pi\)
0.592521 + 0.805555i \(0.298133\pi\)
\(12\) −3.73205 1.00000i −1.07735 0.288675i
\(13\) −3.00000 3.00000i −0.832050 0.832050i 0.155747 0.987797i \(-0.450222\pi\)
−0.987797 + 0.155747i \(0.950222\pi\)
\(14\) 1.63397 + 3.36603i 0.436698 + 0.899608i
\(15\) −1.36603 4.09808i −0.352706 1.05812i
\(16\) −4.00000 −1.00000
\(17\) 1.09808 4.09808i 0.266323 0.993929i −0.695113 0.718900i \(-0.744646\pi\)
0.961436 0.275029i \(-0.0886875\pi\)
\(18\) 0.267949 + 1.00000i 0.0631562 + 0.235702i
\(19\) −3.00000 1.73205i −0.688247 0.397360i 0.114708 0.993399i \(-0.463407\pi\)
−0.802955 + 0.596040i \(0.796740\pi\)
\(20\) −2.46410 3.73205i −0.550990 0.834512i
\(21\) 2.86603 4.23205i 0.625418 0.923509i
\(22\) −1.00000 0.267949i −0.213201 0.0571270i
\(23\) −1.50000 + 0.401924i −0.312772 + 0.0838069i −0.411790 0.911279i \(-0.635096\pi\)
0.0990186 + 0.995086i \(0.468430\pi\)
\(24\) 2.73205 + 4.73205i 0.557678 + 0.965926i
\(25\) 1.96410 4.59808i 0.392820 0.919615i
\(26\) 6.00000i 1.17670i
\(27\) −3.09808 + 3.09808i −0.596225 + 0.596225i
\(28\) 1.73205 5.00000i 0.327327 0.944911i
\(29\) 4.46410 0.828963 0.414481 0.910058i \(-0.363963\pi\)
0.414481 + 0.910058i \(0.363963\pi\)
\(30\) −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
\(33\) 0.366025 + 1.36603i 0.0637168 + 0.237795i
\(34\) −5.19615 + 3.00000i −0.891133 + 0.514496i
\(35\) 5.73205 1.46410i 0.968893 0.247478i
\(36\) 0.732051 1.26795i 0.122008 0.211325i
\(37\) −6.46410 + 1.73205i −1.06269 + 0.284747i −0.747487 0.664276i \(-0.768740\pi\)
−0.315205 + 0.949024i \(0.602073\pi\)
\(38\) 1.26795 + 4.73205i 0.205689 + 0.767640i
\(39\) 7.09808 4.09808i 1.13660 0.656217i
\(40\) −1.26795 + 6.19615i −0.200480 + 0.979698i
\(41\) 0.464102i 0.0724805i −0.999343 0.0362402i \(-0.988462\pi\)
0.999343 0.0362402i \(-0.0115382\pi\)
\(42\) −7.09808 + 1.36603i −1.09526 + 0.210782i
\(43\) −2.36603 + 2.36603i −0.360815 + 0.360815i −0.864113 0.503298i \(-0.832120\pi\)
0.503298 + 0.864113i \(0.332120\pi\)
\(44\) 0.732051 + 1.26795i 0.110361 + 0.191151i
\(45\) 1.63397 0.0980762i 0.243579 0.0146203i
\(46\) 1.90192 + 1.09808i 0.280423 + 0.161903i
\(47\) 0.633975 0.169873i 0.0924747 0.0247785i −0.212285 0.977208i \(-0.568091\pi\)
0.304760 + 0.952429i \(0.401424\pi\)
\(48\) 2.00000 7.46410i 0.288675 1.07735i
\(49\) 5.50000 + 4.33013i 0.785714 + 0.618590i
\(50\) −6.56218 + 2.63397i −0.928032 + 0.372500i
\(51\) 7.09808 + 4.09808i 0.993929 + 0.573845i
\(52\) 6.00000 6.00000i 0.832050 0.832050i
\(53\) −3.00000 0.803848i −0.412082 0.110417i 0.0468214 0.998903i \(-0.485091\pi\)
−0.458903 + 0.888486i \(0.651757\pi\)
\(54\) 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 −0.910202 0.414164i \(-0.864074\pi\)
−0.0964249 + 0.995340i \(0.530741\pi\)
\(60\) 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 \(-0.0525756\pi\)
\(62\) 13.9282 + 3.73205i 1.76888 + 0.473971i
\(63\) 1.26795 + 1.46410i 0.159747 + 0.184459i
\(64\) 8.00000i 1.00000i
\(65\) 9.29423 + 1.90192i 1.15281 + 0.235905i
\(66\) 1.00000 1.73205i 0.123091 0.213201i
\(67\) −1.03590 + 3.86603i −0.126555 + 0.472310i −0.999890 0.0148095i \(-0.995286\pi\)
0.873335 + 0.487120i \(0.161952\pi\)
\(68\) 8.19615 + 2.19615i 0.993929 + 0.266323i
\(69\) 3.00000i 0.361158i
\(70\) −7.19615 4.26795i −0.860105 0.510117i
\(71\) 15.4641 1.83525 0.917626 0.397446i \(-0.130103\pi\)
0.917626 + 0.397446i \(0.130103\pi\)
\(72\) −2.00000 + 0.535898i −0.235702 + 0.0631562i
\(73\) −8.09808 2.16987i −0.947808 0.253964i −0.248376 0.968664i \(-0.579897\pi\)
−0.699432 + 0.714699i \(0.746564\pi\)
\(74\) 8.19615 + 4.73205i 0.952783 + 0.550090i
\(75\) 7.59808 + 5.96410i 0.877350 + 0.688675i
\(76\) 3.46410 6.00000i 0.397360 0.688247i
\(77\) −1.90192 + 0.366025i −0.216744 + 0.0417125i
\(78\) −11.1962 3.00000i −1.26771 0.339683i
\(79\) −11.1962 6.46410i −1.25967 0.727268i −0.286656 0.958034i \(-0.592544\pi\)
−0.973009 + 0.230765i \(0.925877\pi\)
\(80\) 7.46410 4.92820i 0.834512 0.550990i
\(81\) −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 0.410911 0.911675i \(-0.365211\pi\)
−0.911675 + 0.410911i \(0.865211\pi\)
\(84\) 8.46410 + 5.73205i 0.923509 + 0.625418i
\(85\) 3.00000 + 9.00000i 0.325396 + 0.976187i
\(86\) 4.73205 0.510270
\(87\) −2.23205 + 8.33013i −0.239301 + 0.893083i
\(88\) 0.535898 2.00000i 0.0571270 0.213201i
\(89\) −8.59808 + 14.8923i −0.911394 + 1.57858i −0.0992979 + 0.995058i \(0.531660\pi\)
−0.812096 + 0.583523i \(0.801674\pi\)
\(90\) −1.73205 1.53590i −0.182574 0.161898i
\(91\) 4.90192 + 10.0981i 0.513861 + 1.05857i
\(92\) −0.803848 3.00000i −0.0838069 0.312772i
\(93\) −5.09808 19.0263i −0.528646 1.97293i
\(94\) −0.803848 0.464102i −0.0829105 0.0478684i
\(95\) 7.73205 0.464102i 0.793292 0.0476158i
\(96\) −9.46410 + 5.46410i −0.965926 + 0.557678i
\(97\) 6.26795 + 6.26795i 0.636414 + 0.636414i 0.949669 0.313255i \(-0.101420\pi\)
−0.313255 + 0.949669i \(0.601420\pi\)
\(98\) −1.16987 9.83013i −0.118175 0.992993i
\(99\) −0.535898 −0.0538598
\(100\) 9.19615 + 3.92820i 0.919615 + 0.392820i
\(101\) −5.06218 8.76795i −0.503706 0.872444i −0.999991 0.00428406i \(-0.998636\pi\)
0.496285 0.868159i \(-0.334697\pi\)
\(102\) −3.00000 11.1962i −0.297044 1.10858i
\(103\) 3.33013 + 12.4282i 0.328127 + 1.22459i 0.911131 + 0.412118i \(0.135211\pi\)
−0.583003 + 0.812470i \(0.698123\pi\)
\(104\) −12.0000 −1.17670
\(105\) −0.133975 + 11.4282i −0.0130746 + 1.11528i
\(106\) 2.19615 + 3.80385i 0.213309 + 0.369462i
\(107\) 5.33013 1.42820i 0.515283 0.138070i 0.00819905 0.999966i \(-0.497390\pi\)
0.507084 + 0.861897i \(0.330723\pi\)
\(108\) −6.19615 6.19615i −0.596225 0.596225i
\(109\) −2.13397 3.69615i −0.204398 0.354027i 0.745543 0.666458i \(-0.232190\pi\)
−0.949941 + 0.312430i \(0.898857\pi\)
\(110\) 2.19615 0.732051i 0.209395 0.0697983i
\(111\) 12.9282i 1.22709i
\(112\) 10.0000 + 3.46410i 0.944911 + 0.327327i
\(113\) 2.53590 + 2.53590i 0.238557 + 0.238557i 0.816253 0.577695i \(-0.196048\pi\)
−0.577695 + 0.816253i \(0.696048\pi\)
\(114\) −9.46410 −0.886394
\(115\) 2.30385 2.59808i 0.214835 0.242272i
\(116\) 8.92820i 0.828963i
\(117\) 0.803848 + 3.00000i 0.0743157 + 0.277350i
\(118\) 12.1962 + 3.26795i 1.12275 + 0.300839i
\(119\) −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
\(122\) −13.5622 + 3.63397i −1.22786 + 0.329005i
\(123\) 0.866025 + 0.232051i 0.0780869 + 0.0209233i
\(124\) −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 −0.999721 0.0236286i \(-0.992478\pi\)
0.0236286 + 0.999721i \(0.492478\pi\)
\(128\) −8.00000 + 8.00000i −0.707107 + 0.707107i
\(129\) −3.23205 5.59808i −0.284566 0.492883i
\(130\) −7.39230 11.1962i −0.648348 0.981968i
\(131\) 3.73205 6.46410i 0.326071 0.564771i −0.655658 0.755058i \(-0.727609\pi\)
0.981728 + 0.190287i \(0.0609419\pi\)
\(132\) −2.73205 + 0.732051i −0.237795 + 0.0637168i
\(133\) 6.00000 + 6.92820i 0.520266 + 0.600751i
\(134\) 4.90192 2.83013i 0.423462 0.244486i
\(135\) 1.96410 9.59808i 0.169043 0.826071i
\(136\) −6.00000 10.3923i −0.514496 0.891133i
\(137\) −8.19615 2.19615i −0.700245 0.187630i −0.108904 0.994052i \(-0.534734\pi\)
−0.591340 + 0.806422i \(0.701401\pi\)
\(138\) −3.00000 + 3.00000i −0.255377 + 0.255377i
\(139\) 1.26795i 0.107546i −0.998553 0.0537730i \(-0.982875\pi\)
0.998553 0.0537730i \(-0.0171247\pi\)
\(140\) 2.92820 + 11.4641i 0.247478 + 0.968893i
\(141\) 1.26795i 0.106781i
\(142\) −15.4641 15.4641i −1.29772 1.29772i
\(143\) −3.00000 0.803848i −0.250873 0.0672211i
\(144\) 2.53590 + 1.46410i 0.211325 + 0.122008i
\(145\) −8.33013 + 5.50000i −0.691779 + 0.456750i
\(146\) 5.92820 + 10.2679i 0.490622 + 0.849782i
\(147\) −10.8301 + 8.09808i −0.893254 + 0.667918i
\(148\) −3.46410 12.9282i −0.284747 1.06269i
\(149\) −11.3301 + 19.6244i −0.928200 + 1.60769i −0.141868 + 0.989886i \(0.545311\pi\)
−0.786332 + 0.617804i \(0.788022\pi\)
\(150\) −1.63397 13.5622i −0.133413 1.10735i
\(151\) −6.90192 11.9545i −0.561671 0.972842i −0.997351 0.0727405i \(-0.976826\pi\)
0.435680 0.900101i \(-0.356508\pi\)
\(152\) −9.46410 + 2.53590i −0.767640 + 0.205689i
\(153\) −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
\(157\) 17.0263 + 4.56218i 1.35885 + 0.364101i 0.863392 0.504533i \(-0.168335\pi\)
0.495453 + 0.868635i \(0.335002\pi\)
\(158\) 4.73205 + 17.6603i 0.376462 + 1.40497i
\(159\) 3.00000 5.19615i 0.237915 0.412082i
\(160\) −12.3923 2.53590i −0.979698 0.200480i
\(161\) 4.09808 + 0.294229i 0.322974 + 0.0231885i
\(162\) −3.90192 + 14.5622i −0.306564 + 1.14411i
\(163\) −0.973721 3.63397i −0.0762677 0.284635i 0.917250 0.398312i \(-0.130404\pi\)
−0.993518 + 0.113677i \(0.963737\pi\)
\(164\) 0.928203 0.0724805
\(165\) −2.36603 2.09808i −0.184195 0.163335i
\(166\) 9.12436i 0.708187i
\(167\) 3.29423 + 3.29423i 0.254915 + 0.254915i 0.822982 0.568067i \(-0.192309\pi\)
−0.568067 + 0.822982i \(0.692309\pi\)
\(168\) −2.73205 14.1962i −0.210782 1.09526i
\(169\) 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
\(173\) 0.464102 0.124356i 0.0352850 0.00945459i −0.241133 0.970492i \(-0.577519\pi\)
0.276418 + 0.961037i \(0.410852\pi\)
\(174\) 10.5622 6.09808i 0.800717 0.462294i
\(175\) −8.89230 + 9.79423i −0.672195 + 0.740374i
\(176\) −2.53590 + 1.46410i −0.191151 + 0.110361i
\(177\) −4.46410 16.6603i −0.335542 1.25226i
\(178\) 23.4904 6.29423i 1.76068 0.471772i
\(179\) −7.02628 12.1699i −0.525169 0.909619i −0.999570 0.0293105i \(-0.990669\pi\)
0.474402 0.880309i \(-0.342664\pi\)
\(180\) 0.196152 + 3.26795i 0.0146203 + 0.243579i
\(181\) 22.5167 1.67365 0.836825 0.547470i \(-0.184409\pi\)
0.836825 + 0.547470i \(0.184409\pi\)
\(182\) 5.19615 15.0000i 0.385164 1.11187i
\(183\) 13.5622 + 13.5622i 1.00255 + 1.00255i
\(184\) −2.19615 + 3.80385i −0.161903 + 0.280423i
\(185\) 9.92820 11.1962i 0.729936 0.823157i
\(186\) −13.9282 + 24.1244i −1.02127 + 1.76888i
\(187\) −0.803848 3.00000i −0.0587832 0.219382i
\(188\) 0.339746 + 1.26795i 0.0247785 + 0.0924747i
\(189\) 10.4282 5.06218i 0.758540 0.368219i
\(190\) −8.19615 7.26795i −0.594611 0.527272i
\(191\) −1.56218 + 2.70577i −0.113035 + 0.195783i −0.916993 0.398904i \(-0.869391\pi\)
0.803957 + 0.594687i \(0.202724\pi\)
\(192\) 14.9282 + 4.00000i 1.07735 + 0.288675i
\(193\) 3.09808 11.5622i 0.223004 0.832264i −0.760190 0.649701i \(-0.774894\pi\)
0.983194 0.182563i \(-0.0584393\pi\)
\(194\) 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 \(-0.160032\pi\)
−0.481842 + 0.876258i \(0.660032\pi\)
\(198\) 0.535898 + 0.535898i 0.0380846 + 0.0380846i
\(199\) −1.73205 3.00000i −0.122782 0.212664i 0.798082 0.602549i \(-0.205848\pi\)
−0.920864 + 0.389885i \(0.872515\pi\)
\(200\) −5.26795 13.1244i −0.372500 0.928032i
\(201\) −6.69615 3.86603i −0.472310 0.272688i
\(202\) −3.70577 + 13.8301i −0.260737 + 0.973084i
\(203\) −11.1603 3.86603i −0.783296 0.271342i
\(204\) −8.19615 + 14.1962i −0.573845 + 0.993929i
\(205\) 0.571797 + 0.866025i 0.0399360 + 0.0604858i
\(206\) 9.09808 15.7583i 0.633893 1.09793i
\(207\) 1.09808 + 0.294229i 0.0763216 + 0.0204503i
\(208\) 12.0000 + 12.0000i 0.832050 + 0.832050i
\(209\) −2.53590 −0.175412
\(210\) 11.5622 11.2942i 0.797866 0.779376i
\(211\) 20.5359i 1.41375i −0.707339 0.706875i \(-0.750104\pi\)
0.707339 0.706875i \(-0.249896\pi\)
\(212\) 1.60770 6.00000i 0.110417 0.412082i
\(213\) −7.73205 + 28.8564i −0.529791 + 1.97721i
\(214\) −6.75833 3.90192i −0.461990 0.266730i
\(215\) 1.50000 7.33013i 0.102299 0.499911i
\(216\) 12.3923i 0.843190i
\(217\) 26.4904 5.09808i 1.79828 0.346080i
\(218\) −1.56218 + 5.83013i −0.105804 + 0.394866i
\(219\) 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 \(-0.627501\pi\)
0.920844 + 0.389932i \(0.127501\pi\)
\(224\) −6.53590 13.4641i −0.436698 0.899608i
\(225\) −2.92820 + 2.19615i −0.195214 + 0.146410i
\(226\) 5.07180i 0.337371i
\(227\) 12.8301 + 3.43782i 0.851565 + 0.228176i 0.658100 0.752931i \(-0.271361\pi\)
0.193466 + 0.981107i \(0.438027\pi\)
\(228\) 9.46410 + 9.46410i 0.626775 + 0.626775i
\(229\) −13.3923 7.73205i −0.884988 0.510948i −0.0126885 0.999919i \(-0.504039\pi\)
−0.872300 + 0.488971i \(0.837372\pi\)
\(230\) −4.90192 + 0.294229i −0.323223 + 0.0194009i
\(231\) 0.267949 3.73205i 0.0176298 0.245551i
\(232\) 8.92820 8.92820i 0.586165 0.586165i
\(233\) 7.09808 1.90192i 0.465010 0.124599i −0.0187040 0.999825i \(-0.505954\pi\)
0.483714 + 0.875226i \(0.339287\pi\)
\(234\) 2.19615 3.80385i 0.143567 0.248665i
\(235\) −0.973721 + 1.09808i −0.0635185 + 0.0716306i
\(236\) −8.92820 15.4641i −0.581177 1.00663i
\(237\) 17.6603 17.6603i 1.14716 1.14716i
\(238\) 15.5885 3.00000i 1.01045 0.194461i
\(239\) 4.73205i 0.306091i −0.988219 0.153045i \(-0.951092\pi\)
0.988219 0.153045i \(-0.0489081\pi\)
\(240\) 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 \(0.561420\pi\)
\(242\) 14.2942 3.83013i 0.918868 0.246210i
\(243\) 7.19615 1.92820i 0.461633 0.123694i
\(244\) 17.1962 + 9.92820i 1.10087 + 0.635588i
\(245\) −15.5981 1.30385i −0.996525 0.0832998i
\(246\) −0.633975 1.09808i −0.0404207 0.0700108i
\(247\) 3.80385 + 14.1962i 0.242033 + 0.903280i
\(248\) −7.46410 + 27.8564i −0.473971 + 1.76888i
\(249\) 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 \(0.713059\pi\)
\(252\) −2.92820 + 2.53590i −0.184459 + 0.159747i
\(253\) −0.803848 + 0.803848i −0.0505375 + 0.0505375i
\(254\) 22.0000 1.38040
\(255\) −18.2942 + 1.09808i −1.14563 + 0.0687642i
\(256\) 16.0000 1.00000
\(257\) 25.8564 6.92820i 1.61288 0.432169i 0.663980 0.747751i \(-0.268866\pi\)
0.948899 + 0.315581i \(0.102199\pi\)
\(258\) −2.36603 + 8.83013i −0.147302 + 0.549740i
\(259\) 17.6603 + 1.26795i 1.09735 + 0.0787865i
\(260\) −3.80385 + 18.5885i −0.235905 + 1.15281i
\(261\) −2.83013 1.63397i −0.175180 0.101140i
\(262\) −10.1962 + 2.73205i −0.629920 + 0.168787i
\(263\) −0.107695 + 0.401924i −0.00664077 + 0.0247837i −0.969167 0.246406i \(-0.920750\pi\)
0.962526 + 0.271190i \(0.0874170\pi\)
\(264\) 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
\(268\) −7.73205 2.07180i −0.472310 0.126555i
\(269\) 3.06218 1.76795i 0.186704 0.107794i −0.403734 0.914876i \(-0.632288\pi\)
0.590439 + 0.807082i \(0.298955\pi\)
\(270\) −11.5622 + 7.63397i −0.703652 + 0.464589i
\(271\) 10.3923 + 6.00000i 0.631288 + 0.364474i 0.781251 0.624218i \(-0.214582\pi\)
−0.149963 + 0.988692i \(0.547915\pi\)
\(272\) −4.39230 + 16.3923i −0.266323 + 0.993929i
\(273\) −21.2942 + 4.09808i −1.28879 + 0.248027i
\(274\) 6.00000 + 10.3923i 0.362473 + 0.627822i
\(275\) −0.437822 3.63397i −0.0264017 0.219137i
\(276\) 6.00000 0.361158
\(277\) −5.02628 + 18.7583i −0.302000 + 1.12708i 0.633497 + 0.773745i \(0.281619\pi\)
−0.935497 + 0.353334i \(0.885048\pi\)
\(278\) −1.26795 + 1.26795i −0.0760465 + 0.0760465i
\(279\) 7.46410 0.446864
\(280\) 8.53590 14.3923i 0.510117 0.860105i
\(281\) −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
\(283\) −3.63397 + 13.5622i −0.216017 + 0.806188i 0.769789 + 0.638299i \(0.220362\pi\)
−0.985806 + 0.167889i \(0.946305\pi\)
\(284\) 30.9282i 1.83525i
\(285\) −3.00000 + 14.6603i −0.177705 + 0.868399i
\(286\) 2.19615 + 3.80385i 0.129861 + 0.224926i
\(287\) −0.401924 + 1.16025i −0.0237248 + 0.0684876i
\(288\) −1.07180 4.00000i −0.0631562 0.235702i
\(289\) −0.866025 0.500000i −0.0509427 0.0294118i
\(290\) 13.8301 + 2.83013i 0.812133 + 0.166191i
\(291\) −14.8301 + 8.56218i −0.869357 + 0.501924i
\(292\) 4.33975 16.1962i 0.253964 0.947808i
\(293\) 4.19615 + 4.19615i 0.245142 + 0.245142i 0.818973 0.573832i \(-0.194544\pi\)
−0.573832 + 0.818973i \(0.694544\pi\)
\(294\) 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
\(297\) −0.830127 + 3.09808i −0.0481689 + 0.179769i
\(298\) 30.9545 8.29423i 1.79315 0.480472i
\(299\) 5.70577 + 3.29423i 0.329973 + 0.190510i
\(300\) −11.9282 + 15.1962i −0.688675 + 0.877350i
\(301\) 7.96410 3.86603i 0.459043 0.222834i
\(302\) −5.05256 + 18.8564i −0.290742 + 1.08506i
\(303\) 18.8923 5.06218i 1.08533 0.290815i
\(304\) 12.0000 + 6.92820i 0.688247 + 0.397360i
\(305\) 1.33013 + 22.1603i 0.0761629 + 1.26889i
\(306\) 4.39230 0.251091
\(307\) −0.758330 + 0.758330i −0.0432802 + 0.0432802i −0.728416 0.685135i \(-0.759743\pi\)
0.685135 + 0.728416i \(0.259743\pi\)
\(308\) −0.732051 3.80385i −0.0417125 0.216744i
\(309\) −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 \(0.0834829\pi\)
\(312\) 6.00000 22.3923i 0.339683 1.26771i
\(313\) −4.32051 16.1244i −0.244210 0.911402i −0.973779 0.227496i \(-0.926946\pi\)
0.729570 0.683907i \(-0.239720\pi\)
\(314\) −12.4641 21.5885i −0.703390 1.21831i
\(315\) −4.16987 1.16987i −0.234946 0.0659149i
\(316\) 12.9282 22.3923i 0.727268 1.25967i
\(317\) 4.36603 1.16987i 0.245220 0.0657066i −0.134115 0.990966i \(-0.542819\pi\)
0.379336 + 0.925259i \(0.376153\pi\)
\(318\) −8.19615 + 2.19615i −0.459617 + 0.123154i
\(319\) 2.83013 1.63397i 0.158457 0.0914850i
\(320\) 9.85641 + 14.9282i 0.550990 + 0.834512i
\(321\) 10.6603i 0.594997i
\(322\) −3.80385 4.39230i −0.211980 0.244774i
\(323\) −10.3923 + 10.3923i −0.578243 + 0.578243i
\(324\) 18.4641 10.6603i 1.02578 0.592236i
\(325\) −19.6865 + 7.90192i −1.09201 + 0.438320i
\(326\) −2.66025 + 4.60770i −0.147338 + 0.255197i
\(327\) 7.96410 2.13397i 0.440416 0.118009i
\(328\) −0.928203 0.928203i −0.0512514 0.0512514i
\(329\) −1.73205 0.124356i −0.0954911 0.00685595i
\(330\) 0.267949 + 4.46410i 0.0147501 + 0.245741i
\(331\) 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
\(333\) 4.73205 + 1.26795i 0.259315 + 0.0694832i
\(334\) 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 −0.0736804 + 0.997282i \(0.523474\pi\)
−0.997282 + 0.0736804i \(0.976526\pi\)
\(338\) 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
\(342\) 0.928203 3.46410i 0.0501915 0.187317i
\(343\) −10.0000 15.5885i −0.539949 0.841698i
\(344\) 9.46410i 0.510270i
\(345\) 3.69615 + 5.59808i 0.198994 + 0.301390i
\(346\) −0.588457 0.339746i −0.0316357 0.0182649i
\(347\) 9.35641 34.9186i 0.502278 1.87453i 0.0175817 0.999845i \(-0.494403\pi\)
0.484697 0.874682i \(-0.338930\pi\)
\(348\) −16.6603 4.46410i −0.893083 0.239301i
\(349\) 19.9808i 1.06955i −0.844996 0.534773i \(-0.820397\pi\)
0.844996 0.534773i \(-0.179603\pi\)
\(350\) 18.6865 0.901924i 0.998837 0.0482099i
\(351\) 18.5885 0.992178
\(352\) 4.00000 + 1.07180i 0.213201 + 0.0571270i
\(353\) −25.3923 6.80385i −1.35150 0.362132i −0.490809 0.871267i \(-0.663299\pi\)
−0.860687 + 0.509135i \(0.829965\pi\)
\(354\) −12.1962 + 21.1244i −0.648218 + 1.12275i
\(355\) −28.8564 + 19.0526i −1.53154 + 1.01120i
\(356\) −29.7846 17.1962i −1.57858 0.911394i
\(357\) −14.1962 16.3923i −0.751340 0.867573i
\(358\) −5.14359 + 19.1962i −0.271847 + 1.01455i
\(359\) 4.09808 + 2.36603i 0.216288 + 0.124874i 0.604230 0.796810i \(-0.293481\pi\)
−0.387942 + 0.921684i \(0.626814\pi\)
\(360\) 3.07180 3.46410i 0.161898 0.182574i
\(361\) −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
\(367\) 2.16025 8.06218i 0.112764 0.420842i −0.886346 0.463024i \(-0.846764\pi\)
0.999110 + 0.0421820i \(0.0134309\pi\)
\(368\) 6.00000 1.60770i 0.312772 0.0838069i
\(369\) −0.169873 + 0.294229i −0.00884323 + 0.0153169i
\(370\) −21.1244 + 1.26795i −1.09820 + 0.0659175i
\(371\) 6.80385 + 4.60770i 0.353238 + 0.239220i
\(372\) 38.0526 10.1962i 1.97293 0.528646i
\(373\) −2.53590 9.46410i −0.131304 0.490033i 0.868682 0.495370i \(-0.164968\pi\)
−0.999986 + 0.00533769i \(0.998301\pi\)
\(374\) −2.19615 + 3.80385i −0.113560 + 0.196692i
\(375\) −21.5263 1.76795i −1.11161 0.0912965i
\(376\) 0.928203 1.60770i 0.0478684 0.0829105i
\(377\) −13.3923 13.3923i −0.689739 0.689739i
\(378\) −15.4904 5.36603i −0.796739 0.275999i
\(379\) 30.2487 1.55377 0.776886 0.629641i \(-0.216798\pi\)
0.776886 + 0.629641i \(0.216798\pi\)
\(380\) 0.928203 + 15.4641i 0.0476158 + 0.793292i
\(381\) −15.0263 26.0263i −0.769820 1.33337i
\(382\) 4.26795 1.14359i 0.218367 0.0585113i
\(383\) −1.96410 7.33013i −0.100361 0.374552i 0.897417 0.441184i \(-0.145441\pi\)
−0.997778 + 0.0666319i \(0.978775\pi\)
\(384\) −10.9282 18.9282i −0.557678 0.965926i
\(385\) 3.09808 3.02628i 0.157893 0.154233i
\(386\) −14.6603 + 8.46410i −0.746187 + 0.430811i
\(387\) 2.36603 0.633975i 0.120272 0.0322267i
\(388\) −12.5359 + 12.5359i −0.636414 + 0.636414i
\(389\) 7.53590 + 13.0526i 0.382085 + 0.661791i 0.991360 0.131168i \(-0.0418727\pi\)
−0.609275 + 0.792959i \(0.708539\pi\)
\(390\) 24.5885 8.19615i 1.24508 0.415028i
\(391\) 6.58846i 0.333193i
\(392\) 19.6603 2.33975i 0.992993 0.118175i
\(393\) 10.1962 + 10.1962i 0.514328 + 0.514328i
\(394\) 11.0718i 0.557789i
\(395\) 28.8564 1.73205i 1.45192 0.0871489i
\(396\) 1.07180i 0.0538598i
\(397\) 5.83013 + 21.7583i 0.292606 + 1.09202i 0.943100 + 0.332508i \(0.107895\pi\)
−0.650495 + 0.759511i \(0.725438\pi\)
\(398\) −1.26795 + 4.73205i −0.0635566 + 0.237196i
\(399\) −15.9282 + 7.73205i −0.797408 + 0.387087i
\(400\) −7.85641 + 18.3923i −0.392820 + 0.919615i
\(401\) 15.3564 26.5981i 0.766862 1.32824i −0.172394 0.985028i \(-0.555150\pi\)
0.939256 0.343216i \(-0.111516\pi\)
\(402\) 2.83013 + 10.5622i 0.141154 + 0.526794i
\(403\) 41.7846 + 11.1962i 2.08144 + 0.557720i
\(404\) 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
\(408\) 22.3923 6.00000i 1.10858 0.297044i
\(409\) 5.69615 + 9.86603i 0.281657 + 0.487844i 0.971793 0.235836i \(-0.0757828\pi\)
−0.690136 + 0.723679i \(0.742449\pi\)
\(410\) 0.294229 1.43782i 0.0145309 0.0710090i
\(411\) 8.19615 14.1962i 0.404286 0.700245i
\(412\) −24.8564 + 6.66025i −1.22459 + 0.328127i
\(413\) 23.1962 4.46410i 1.14141 0.219664i
\(414\) −0.803848 1.39230i −0.0395070 0.0684280i
\(415\) 14.1340 + 2.89230i 0.693810 + 0.141978i
\(416\) 24.0000i 1.17670i
\(417\) 2.36603 + 0.633975i 0.115865 + 0.0310459i
\(418\) 2.53590 + 2.53590i 0.124035 + 0.124035i
\(419\) 2.39230i 0.116872i −0.998291 0.0584359i \(-0.981389\pi\)
0.998291 0.0584359i \(-0.0186113\pi\)
\(420\) −22.8564 0.267949i −1.11528 0.0130746i
\(421\) 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
\(423\) −0.464102 0.124356i −0.0225654 0.00604638i
\(424\) −7.60770 + 4.39230i −0.369462 + 0.213309i
\(425\) −16.6865 13.0981i −0.809416 0.635350i
\(426\) 36.5885 21.1244i 1.77272 1.02348i
\(427\) −19.8564 + 17.1962i −0.960919 + 0.832180i
\(428\) 2.85641 + 10.6603i 0.138070 + 0.515283i
\(429\) 3.00000 5.19615i 0.144841 0.250873i
\(430\) −8.83013 + 5.83013i −0.425827 + 0.281154i
\(431\) 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 \(-0.877375\pi\)
0.375780 + 0.926709i \(0.377375\pi\)
\(434\) −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
\(437\) 5.19615 + 1.39230i 0.248566 + 0.0666030i
\(438\) −22.1244 + 5.92820i −1.05714 + 0.283261i
\(439\) −2.66025 + 4.60770i −0.126967 + 0.219913i −0.922500 0.385997i \(-0.873858\pi\)
0.795533 + 0.605910i \(0.207191\pi\)
\(440\) 1.46410 + 4.39230i 0.0697983 + 0.209395i
\(441\) −1.90192 4.75833i −0.0905678 0.226587i
\(442\) 24.5885 + 6.58846i 1.16955 + 0.313381i
\(443\) 8.93782 + 33.3564i 0.424649 + 1.58481i 0.764689 + 0.644400i \(0.222893\pi\)
−0.340040 + 0.940411i \(0.610441\pi\)
\(444\) 25.8564 1.22709
\(445\) −2.30385 38.3827i −0.109213 1.81951i
\(446\) −15.8564 −0.750823
\(447\) −30.9545 30.9545i −1.46410 1.46410i
\(448\) −6.92820 + 20.0000i −0.327327 + 0.944911i
\(449\) 23.1962i 1.09469i −0.836906 0.547347i \(-0.815638\pi\)
0.836906 0.547347i \(-0.184362\pi\)
\(450\) 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
\(453\) 25.7583 6.90192i 1.21023 0.324281i
\(454\) −9.39230 16.2679i −0.440803 0.763493i
\(455\) −21.5885 12.8038i −1.01208 0.600254i
\(456\) 18.9282i 0.886394i
\(457\) −3.73205 13.9282i −0.174578 0.651534i −0.996623 0.0821116i \(-0.973834\pi\)
0.822045 0.569422i \(-0.192833\pi\)
\(458\) 5.66025 + 21.1244i 0.264486 + 0.987076i
\(459\) 9.29423 + 16.0981i 0.433817 + 0.751394i
\(460\) 5.19615 + 4.60770i 0.242272 + 0.214835i
\(461\) −12.1436 −0.565584 −0.282792 0.959181i \(-0.591261\pi\)
−0.282792 + 0.959181i \(0.591261\pi\)
\(462\) −4.00000 + 3.46410i −0.186097 + 0.161165i
\(463\) 0.830127 + 0.830127i 0.0385793 + 0.0385793i 0.726133 0.687554i \(-0.241316\pi\)
−0.687554 + 0.726133i \(0.741316\pi\)
\(464\) −17.8564 −0.828963
\(465\) 32.9545 + 29.2224i 1.52823 + 1.35516i
\(466\) −9.00000 5.19615i −0.416917 0.240707i
\(467\) −1.66987 6.23205i −0.0772725 0.288385i 0.916466 0.400111i \(-0.131029\pi\)
−0.993739 + 0.111727i \(0.964362\pi\)
\(468\) −6.00000 + 1.60770i −0.277350 + 0.0743157i
\(469\) 5.93782 8.76795i 0.274183 0.404866i
\(470\) 2.07180 0.124356i 0.0955649 0.00573610i
\(471\) −17.0263 + 29.4904i −0.784530 + 1.35885i
\(472\) −6.53590 + 24.3923i −0.300839 + 1.12275i
\(473\) −0.633975 + 2.36603i −0.0291502 + 0.108790i
\(474\) −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 0.906200 0.422850i \(-0.138970\pi\)
−0.819299 + 0.573367i \(0.805637\pi\)
\(480\) 10.9282 21.8564i 0.498802 0.997604i
\(481\) 24.5885 + 14.1962i 1.12114 + 0.647289i
\(482\) 27.8564 + 7.46410i 1.26882 + 0.339981i
\(483\) −2.59808 + 7.50000i −0.118217 + 0.341262i
\(484\) −18.1244 10.4641i −0.823834 0.475641i
\(485\) −19.4186 3.97372i −0.881752 0.180437i
\(486\) −9.12436 5.26795i −0.413889 0.238959i
\(487\) −19.0263 5.09808i −0.862163 0.231016i −0.199467 0.979905i \(-0.563921\pi\)
−0.662696 + 0.748889i \(0.730588\pi\)
\(488\) −7.26795 27.1244i −0.329005 1.22786i
\(489\) 7.26795 0.328668
\(490\) 14.2942 + 16.9019i 0.645747 + 0.763551i
\(491\) 12.1962i 0.550405i 0.961386 + 0.275202i \(0.0887448\pi\)
−0.961386 + 0.275202i \(0.911255\pi\)
\(492\) −0.464102 + 1.73205i −0.0209233 + 0.0780869i
\(493\) 4.90192 18.2942i 0.220772 0.823931i
\(494\) 10.3923 18.0000i 0.467572 0.809858i
\(495\) 1.00000 0.660254i 0.0449467 0.0296762i
\(496\) 35.3205 20.3923i 1.58594 0.915642i
\(497\) −38.6603 13.3923i −1.73415 0.600727i
\(498\) −17.0263 4.56218i −0.762966 0.204436i
\(499\) −6.75833 + 11.7058i −0.302544 + 0.524022i −0.976712 0.214556i \(-0.931169\pi\)
0.674167 + 0.738579i \(0.264503\pi\)
\(500\) −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 −0.0116099 + 0.999933i \(0.503696\pi\)
−0.999933 + 0.0116099i \(0.996304\pi\)
\(504\) 5.46410 + 0.392305i 0.243390 + 0.0174746i
\(505\) 20.2487 + 10.1244i 0.901056 + 0.450528i
\(506\) 1.60770 0.0714708
\(507\) −9.33013 2.50000i −0.414365 0.111029i
\(508\) −22.0000 22.0000i −0.976092 0.976092i
\(509\) −9.57180 5.52628i −0.424262 0.244948i 0.272637 0.962117i \(-0.412104\pi\)
−0.696899 + 0.717169i \(0.745438\pi\)
\(510\) 19.3923 + 17.1962i 0.858706 + 0.761458i
\(511\) 18.3660 + 12.4378i 0.812465 + 0.550217i
\(512\) −16.0000 16.0000i −0.707107 0.707107i
\(513\) 14.6603 3.92820i 0.647266 0.173434i
\(514\) −32.7846 18.9282i −1.44607 0.834887i
\(515\) −21.5263 19.0885i −0.948561 0.841138i
\(516\) 11.1962 6.46410i 0.492883 0.284566i
\(517\) 0.339746 0.339746i 0.0149420 0.0149420i
\(518\) −16.3923 18.9282i −0.720237 0.831658i
\(519\) 0.928203i 0.0407436i
\(520\) 22.3923 14.7846i 0.981968 0.648348i
\(521\) 7.39230 4.26795i 0.323863 0.186982i −0.329250 0.944243i \(-0.606796\pi\)
0.653113 + 0.757260i \(0.273463\pi\)
\(522\) 1.19615 + 4.46410i 0.0523542 + 0.195388i
\(523\) −24.2942 + 6.50962i −1.06231 + 0.284646i −0.747331 0.664452i \(-0.768665\pi\)
−0.314982 + 0.949098i \(0.601998\pi\)
\(524\) 12.9282 + 7.46410i 0.564771 + 0.326071i
\(525\) −13.8301 21.4904i −0.603596 0.937917i
\(526\) 0.509619 0.294229i 0.0222204 0.0128290i
\(527\) 11.1962 + 41.7846i 0.487712 + 1.82017i
\(528\) −1.46410 5.46410i −0.0637168 0.237795i
\(529\) −17.8301 + 10.2942i −0.775223 + 0.447575i
\(530\) −8.78461 4.39230i −0.381579 0.190790i
\(531\) 6.53590 0.283634
\(532\) −13.8564 + 12.0000i −0.600751 + 0.520266i
\(533\) −1.39230 + 1.39230i −0.0603074 + 0.0603074i
\(534\) 46.9808i 2.03306i
\(535\) −8.18653 + 9.23205i −0.353935 + 0.399136i
\(536\) 5.66025 + 9.80385i 0.244486 + 0.423462i
\(537\) 26.2224 7.02628i 1.13158 0.303206i
\(538\) −4.83013 1.29423i −0.208242 0.0557982i
\(539\) 5.07180 + 0.732051i 0.218458 + 0.0315317i
\(540\) 19.1962 + 3.92820i 0.826071 + 0.169043i
\(541\) 1.79423 + 1.03590i 0.0771399 + 0.0445368i 0.538074 0.842898i \(-0.319152\pi\)
−0.460934 + 0.887434i \(0.652485\pi\)
\(542\) −4.39230 16.3923i −0.188666 0.704110i
\(543\) −11.2583 + 42.0167i −0.483141 + 1.80311i
\(544\) 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 \(-0.105652\pi\)
−0.325856 + 0.945420i \(0.605652\pi\)
\(548\) 4.39230 16.3923i 0.187630 0.700245i
\(549\) −6.29423 + 3.63397i −0.268631 + 0.155094i
\(550\) −3.19615 + 4.07180i −0.136284 + 0.173622i
\(551\) −13.3923 7.73205i −0.570531 0.329396i
\(552\) −6.00000 6.00000i −0.255377 0.255377i
\(553\) 22.3923 + 25.8564i 0.952218 + 1.09953i
\(554\) 23.7846 13.7321i 1.01051 0.583419i
\(555\) 15.9282 + 24.1244i 0.676115 + 1.02402i
\(556\) 2.53590 0.107546
\(557\) −8.24167 + 30.7583i −0.349211 + 1.30327i 0.538404 + 0.842687i \(0.319027\pi\)
−0.887615 + 0.460586i \(0.847639\pi\)
\(558\) −7.46410 7.46410i −0.315981 0.315981i
\(559\) 14.1962 0.600433
\(560\) −22.9282 + 5.85641i −0.968893 + 0.247478i
\(561\) 6.00000 0.253320
\(562\) 24.2487 + 24.2487i 1.02287 + 1.02287i
\(563\) 7.06218 26.3564i 0.297635 1.11079i −0.641466 0.767151i \(-0.721674\pi\)
0.939102 0.343639i \(-0.111660\pi\)
\(564\) −2.53590 −0.106781
\(565\) −7.85641 1.60770i −0.330522 0.0676362i
\(566\) 17.1962 9.92820i 0.722808 0.417314i
\(567\) 5.33013 + 27.6962i 0.223844 + 1.16313i
\(568\) 30.9282 30.9282i 1.29772 1.29772i
\(569\) 18.8038 + 10.8564i 0.788298 + 0.455124i 0.839363 0.543571i \(-0.182928\pi\)
−0.0510648 + 0.998695i \(0.516262\pi\)
\(570\) 17.6603 11.6603i 0.739707 0.488394i
\(571\) −14.7846 + 8.53590i −0.618717 + 0.357216i −0.776369 0.630278i \(-0.782941\pi\)
0.157653 + 0.987495i \(0.449607\pi\)
\(572\) 1.60770 6.00000i 0.0672211 0.250873i
\(573\) −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
\(577\) −4.41858 + 16.4904i −0.183948 + 0.686504i 0.810905 + 0.585178i \(0.198975\pi\)
−0.994853 + 0.101326i \(0.967691\pi\)
\(578\) 0.366025 + 1.36603i 0.0152246 + 0.0568192i
\(579\) 20.0263 + 11.5622i 0.832264 + 0.480508i
\(580\) −11.0000 16.6603i −0.456750 0.691779i
\(581\) 7.45448 + 15.3564i 0.309264 + 0.637091i
\(582\) 23.3923 + 6.26795i 0.969642 + 0.259815i
\(583\) −2.19615 + 0.588457i −0.0909553 + 0.0243714i
\(584\) −20.5359 + 11.8564i −0.849782 + 0.490622i
\(585\) −5.19615 4.60770i −0.214834 0.190505i
\(586\) 8.39230i 0.346683i
\(587\) 9.00000 9.00000i 0.371470 0.371470i −0.496543 0.868012i \(-0.665397\pi\)
0.868012 + 0.496543i \(0.165397\pi\)
\(588\) −16.1962 21.6603i −0.667918 0.893254i
\(589\) 35.3205 1.45536
\(590\) −26.7846 + 8.92820i −1.10270 + 0.367568i
\(591\) −13.0981 + 7.56218i −0.538783 + 0.311066i
\(592\) 25.8564 6.92820i 1.06269 0.284747i
\(593\) −3.80385 14.1962i −0.156205 0.582966i −0.998999 0.0447296i \(-0.985757\pi\)
0.842794 0.538237i \(-0.180909\pi\)
\(594\) 3.92820 2.26795i 0.161176 0.0930551i
\(595\) 0.294229 25.0981i 0.0120622 1.02892i
\(596\) −39.2487 22.6603i −1.60769 0.928200i
\(597\) 6.46410 1.73205i 0.264558 0.0708881i
\(598\) −2.41154 9.00000i −0.0986153 0.368037i
\(599\) 21.0000 12.1244i 0.858037 0.495388i −0.00531761 0.999986i \(-0.501693\pi\)
0.863354 + 0.504598i \(0.168359\pi\)
\(600\) 27.1244 3.26795i 1.10735 0.133413i
\(601\) 28.3923i 1.15815i 0.815276 + 0.579073i \(0.196585\pi\)
−0.815276 + 0.579073i \(0.803415\pi\)
\(602\) −11.8301 4.09808i −0.482160 0.167025i
\(603\) 2.07180 2.07180i 0.0843701 0.0843701i
\(604\) 23.9090 13.8038i 0.972842 0.561671i
\(605\) −1.40192 23.3564i −0.0569963 0.949573i
\(606\) −23.9545 13.8301i −0.973084 0.561811i
\(607\) −22.9904 + 6.16025i −0.933151 + 0.250037i −0.693198 0.720747i \(-0.743799\pi\)
−0.239953 + 0.970784i \(0.577132\pi\)
\(608\) −5.07180 18.9282i −0.205689 0.767640i
\(609\) 12.7942 18.8923i 0.518448 0.765555i
\(610\) 20.8301 23.4904i 0.843387 0.951098i
\(611\) −2.41154 1.39230i −0.0975606 0.0563266i
\(612\) −4.39230 4.39230i −0.177548 0.177548i
\(613\) −5.36603 1.43782i −0.216732 0.0580731i 0.148819 0.988864i \(-0.452453\pi\)
−0.365551 + 0.930791i \(0.619119\pi\)
\(614\) 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 −0.725544 0.688176i \(-0.758412\pi\)
0.688176 + 0.725544i \(0.258412\pi\)
\(618\) 24.8564 + 24.8564i 0.999871 + 0.999871i
\(619\) −15.2942 + 8.83013i −0.614727 + 0.354913i −0.774813 0.632190i \(-0.782156\pi\)
0.160086 + 0.987103i \(0.448823\pi\)
\(620\) 40.7846 + 20.3923i 1.63795 + 0.818975i
\(621\) 3.40192 5.89230i 0.136514 0.236450i
\(622\) −34.0526 9.12436i −1.36538 0.365853i
\(623\) 34.3923 29.7846i 1.37790 1.19330i
\(624\) −28.3923 + 16.3923i −1.13660 + 0.656217i
\(625\) −17.2846 18.0622i −0.691384 0.722487i
\(626\) −11.8038 + 20.4449i −0.471777 + 0.817141i
\(627\) 1.26795 4.73205i 0.0506370 0.188980i
\(628\) −9.12436 + 34.0526i −0.364101 + 1.35885i
\(629\) 28.3923i 1.13208i
\(630\) 3.00000 + 5.33975i 0.119523 + 0.212741i
\(631\) −7.26795 −0.289332 −0.144666 0.989481i \(-0.546211\pi\)
−0.144666 + 0.989481i \(0.546211\pi\)
\(632\) −35.3205 + 9.46410i −1.40497 + 0.376462i
\(633\) 38.3205 + 10.2679i 1.52310 + 0.408114i
\(634\) −5.53590 3.19615i −0.219859 0.126935i
\(635\) 6.97372 34.0788i 0.276744 1.35238i
\(636\) 10.3923 + 6.00000i 0.412082 + 0.237915i
\(637\) −3.50962 29.4904i −0.139056 1.16845i
\(638\) −4.46410 1.19615i −0.176735 0.0473561i
\(639\) −9.80385 5.66025i −0.387834 0.223916i
\(640\) 5.07180 24.7846i 0.200480 0.979698i
\(641\) 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 0.861938 0.507013i \(-0.169250\pi\)
−0.507013 + 0.861938i \(0.669250\pi\)
\(644\) −0.588457 + 8.19615i −0.0231885 + 0.322974i
\(645\) 12.9282 + 6.46410i 0.509048 + 0.254524i
\(646\) 20.7846 0.817760
\(647\) 7.03590 26.2583i 0.276610 1.03232i −0.678145 0.734928i \(-0.737216\pi\)
0.954755 0.297394i \(-0.0961174\pi\)
\(648\) −29.1244 7.80385i −1.14411 0.306564i
\(649\) −3.26795 + 5.66025i −0.128278 + 0.222184i
\(650\) 27.5885 + 11.7846i 1.08211 + 0.462230i
\(651\) −3.73205 + 51.9808i −0.146271 + 2.03729i
\(652\) 7.26795 1.94744i 0.284635 0.0762677i
\(653\) −8.41858 31.4186i −0.329445 1.22950i −0.909768 0.415118i \(-0.863740\pi\)
0.580323 0.814386i \(-0.302926\pi\)
\(654\) −10.0981 5.83013i −0.394866 0.227976i
\(655\) 1.00000 + 16.6603i 0.0390732 + 0.650970i
\(656\) 1.85641i 0.0724805i
\(657\) 4.33975 + 4.33975i 0.169310 + 0.169310i
\(658\) 1.60770 + 1.85641i 0.0626745 + 0.0723703i
\(659\) −39.3205 −1.53171 −0.765855 0.643014i \(-0.777684\pi\)
−0.765855 + 0.643014i \(0.777684\pi\)
\(660\) 4.19615 4.73205i 0.163335 0.184195i
\(661\) −19.9641 34.5788i −0.776514 1.34496i −0.933940 0.357430i \(-0.883653\pi\)
0.157426 0.987531i \(-0.449680\pi\)
\(662\) −2.66025 9.92820i −0.103394 0.385871i
\(663\) −9.00000 33.5885i −0.349531 1.30447i
\(664\) −18.2487 −0.708187
\(665\) −19.7321 5.53590i −0.765176 0.214673i
\(666\) −3.46410 6.00000i −0.134231 0.232495i
\(667\) −6.69615 + 1.79423i −0.259276 + 0.0694728i
\(668\) −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
\(672\) 28.3923 5.46410i 1.09526 0.210782i
\(673\) −10.1962 10.1962i −0.393033 0.393033i 0.482734 0.875767i \(-0.339644\pi\)
−0.875767 + 0.482734i \(0.839644\pi\)
\(674\) 39.3205 1.51457
\(675\) 8.16025 + 20.3301i 0.314088 + 0.782507i
\(676\) −10.0000 −0.384615
\(677\) 1.22243 + 4.56218i 0.0469819 + 0.175339i 0.985430 0.170081i \(-0.0544031\pi\)
−0.938448 + 0.345420i \(0.887736\pi\)
\(678\) 9.46410 + 2.53590i 0.363467 + 0.0973906i
\(679\) −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
\(682\) 10.1962 2.73205i 0.390431 0.104616i
\(683\) 29.3564 + 7.86603i 1.12329 + 0.300985i 0.772215 0.635362i \(-0.219149\pi\)
0.351077 + 0.936347i \(0.385816\pi\)
\(684\) −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
\(690\) 1.90192 9.29423i 0.0724050 0.353825i
\(691\) 21.7583 37.6865i 0.827726 1.43366i −0.0720922 0.997398i \(-0.522968\pi\)
0.899818 0.436265i \(-0.143699\pi\)
\(692\) 0.248711 + 0.928203i 0.00945459 + 0.0352850i
\(693\) 1.33975 + 0.464102i 0.0508927 + 0.0176298i
\(694\) −44.2750 + 25.5622i −1.68066 + 0.970327i
\(695\) 1.56218 + 2.36603i 0.0592568 + 0.0897485i
\(696\) 12.1962 + 21.1244i 0.462294 + 0.800717i
\(697\) −1.90192 0.509619i −0.0720405 0.0193032i
\(698\) −19.9808 + 19.9808i −0.756283 + 0.756283i
\(699\) 14.1962i 0.536948i
\(700\) −19.5885 17.7846i −0.740374 0.672195i
\(701\) 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
\(703\) 22.3923 + 6.00000i 0.844542 + 0.226294i
\(704\) −2.92820 5.07180i −0.110361 0.191151i
\(705\) −1.56218 2.36603i −0.0588350 0.0891097i
\(706\) 18.5885 + 32.1962i 0.699586 + 1.21172i
\(707\) 5.06218 + 26.3038i 0.190383 + 0.989258i
\(708\) 33.3205 8.92820i 1.25226 0.335542i
\(709\) −7.96410 + 13.7942i −0.299098 + 0.518053i −0.975930 0.218085i \(-0.930019\pi\)
0.676832 + 0.736138i \(0.263352\pi\)
\(710\) 47.9090 + 9.80385i 1.79799 + 0.367932i
\(711\) 4.73205 + 8.19615i 0.177466 + 0.307380i
\(712\) 12.5885 + 46.9808i 0.471772 + 1.76068i
\(713\) 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
\(717\) 8.83013 + 2.36603i 0.329767 + 0.0883608i
\(718\) −1.73205 6.46410i −0.0646396 0.241238i
\(719\) −5.36603 + 9.29423i −0.200119 + 0.346616i −0.948567 0.316578i \(-0.897466\pi\)
0.748448 + 0.663194i \(0.230800\pi\)
\(720\) −6.53590 + 0.392305i −0.243579 + 0.0146203i
\(721\) 2.43782 33.9545i 0.0907892 1.26453i
\(722\) −2.56218 + 9.56218i −0.0953544 + 0.355867i
\(723\) −10.1962 38.0526i −0.379199 1.41519i
\(724\) 45.0333i 1.67365i
\(725\) 8.76795 20.5263i 0.325633 0.762327i
\(726\) 28.5885i 1.06102i
\(727\) −17.2942 17.2942i −0.641407 0.641407i 0.309494 0.950901i \(-0.399840\pi\)
−0.950901 + 0.309494i \(0.899840\pi\)
\(728\) 30.0000 + 10.3923i 1.11187 + 0.385164i
\(729\) 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
\(733\) 21.2942 5.70577i 0.786520 0.210747i 0.156863 0.987620i \(-0.449862\pi\)
0.629657 + 0.776873i \(0.283195\pi\)
\(734\) −10.2224 + 5.90192i −0.377317 + 0.217844i
\(735\) 10.2321 28.4545i 0.377415 1.04956i
\(736\) −7.60770 4.39230i −0.280423 0.161903i
\(737\) 0.758330 + 2.83013i 0.0279335 + 0.104249i
\(738\) 0.464102 0.124356i 0.0170838 0.00457759i
\(739\) −5.83013 10.0981i −0.214465 0.371464i 0.738642 0.674098i \(-0.235467\pi\)
−0.953107 + 0.302634i \(0.902134\pi\)
\(740\) 22.3923 + 19.8564i 0.823157 + 0.729936i
\(741\) −28.3923 −1.04302
\(742\) −2.19615 11.4115i −0.0806233 0.418931i
\(743\) −33.4186 33.4186i −1.22601 1.22601i −0.965461 0.260548i \(-0.916097\pi\)
−0.260548 0.965461i \(-0.583903\pi\)
\(744\) −48.2487 27.8564i −1.76888 1.02127i
\(745\) −3.03590 50.5788i −0.111227 1.85307i
\(746\) −6.92820 + 12.0000i −0.253660 + 0.439351i
\(747\) 1.22243 + 4.56218i 0.0447264 + 0.166921i
\(748\) 6.00000 1.60770i 0.219382 0.0587832i
\(749\) −14.5622 1.04552i −0.532090 0.0382024i
\(750\) 19.7583 + 23.2942i 0.721472 + 0.850585i
\(751\) 5.19615 9.00000i 0.189610 0.328415i −0.755510 0.655137i \(-0.772611\pi\)
0.945120 + 0.326722i \(0.105944\pi\)
\(752\) −2.53590 + 0.679492i −0.0924747 + 0.0247785i
\(753\) 9.83013 36.6865i 0.358230 1.33693i
\(754\) 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 −0.889222 0.457476i \(-0.848753\pi\)
−0.457476 0.889222i \(-0.651247\pi\)
\(758\) −30.2487 30.2487i −1.09868 1.09868i
\(759\) −1.09808 1.90192i −0.0398576 0.0690355i
\(760\) 14.5359 16.3923i 0.527272 0.594611i
\(761\) −30.8038 17.7846i −1.11664 0.644692i −0.176098 0.984373i \(-0.556348\pi\)
−0.940541 + 0.339681i \(0.889681\pi\)
\(762\) −11.0000 + 41.0526i −0.398488 + 1.48718i
\(763\) 2.13397 + 11.0885i 0.0772551 + 0.401429i
\(764\) −5.41154 3.12436i −0.195783 0.113035i
\(765\) 1.39230 6.80385i 0.0503389 0.245994i
\(766\) −5.36603 + 9.29423i −0.193882 + 0.335814i
\(767\) 36.5885 + 9.80385i 1.32113 + 0.353996i
\(768\) −8.00000 + 29.8564i −0.288675 + 1.07735i
\(769\) 22.6410 0.816456 0.408228 0.912880i \(-0.366147\pi\)
0.408228 + 0.912880i \(0.366147\pi\)
\(770\) −6.12436 0.0717968i