Properties

Label 280.2.bv.d.173.1
Level $280$
Weight $2$
Character 280.173
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 173.1
Root \(0.866025 - 0.500000i\) of defining polynomial
Character \(\chi\) \(=\) 280.173
Dual form 280.2.bv.d.157.1

$q$-expansion

\(f(q)\) \(=\) \(q+(1.00000 + 1.00000i) q^{2} +(0.133975 - 0.500000i) q^{3} +2.00000i q^{4} +(-1.86603 + 1.23205i) q^{5} +(0.633975 - 0.366025i) q^{6} +(-0.866025 + 2.50000i) q^{7} +(-2.00000 + 2.00000i) q^{8} +(2.36603 + 1.36603i) q^{9} +O(q^{10})\) \(q+(1.00000 + 1.00000i) q^{2} +(0.133975 - 0.500000i) q^{3} +2.00000i q^{4} +(-1.86603 + 1.23205i) q^{5} +(0.633975 - 0.366025i) q^{6} +(-0.866025 + 2.50000i) q^{7} +(-2.00000 + 2.00000i) q^{8} +(2.36603 + 1.36603i) q^{9} +(-3.09808 - 0.633975i) q^{10} +(2.36603 - 1.36603i) q^{11} +(1.00000 + 0.267949i) q^{12} +(-3.00000 - 3.00000i) q^{13} +(-3.36603 + 1.63397i) q^{14} +(0.366025 + 1.09808i) q^{15} -4.00000 q^{16} +(-1.09808 + 4.09808i) q^{17} +(1.00000 + 3.73205i) q^{18} +(3.00000 + 1.73205i) q^{19} +(-2.46410 - 3.73205i) q^{20} +(1.13397 + 0.767949i) q^{21} +(3.73205 + 1.00000i) q^{22} +(5.59808 - 1.50000i) q^{23} +(0.732051 + 1.26795i) q^{24} +(1.96410 - 4.59808i) q^{25} -6.00000i q^{26} +(2.09808 - 2.09808i) q^{27} +(-5.00000 - 1.73205i) q^{28} +2.46410 q^{29} +(-0.732051 + 1.46410i) q^{30} +(-0.169873 + 0.0980762i) q^{31} +(-4.00000 - 4.00000i) q^{32} +(-0.366025 - 1.36603i) q^{33} +(-5.19615 + 3.00000i) q^{34} +(-1.46410 - 5.73205i) q^{35} +(-2.73205 + 4.73205i) q^{36} +(1.73205 - 0.464102i) q^{37} +(1.26795 + 4.73205i) q^{38} +(-1.90192 + 1.09808i) q^{39} +(1.26795 - 6.19615i) q^{40} -6.46410i q^{41} +(0.366025 + 1.90192i) q^{42} +(0.633975 - 0.633975i) q^{43} +(2.73205 + 4.73205i) q^{44} +(-6.09808 + 0.366025i) q^{45} +(7.09808 + 4.09808i) q^{46} +(8.83013 - 2.36603i) q^{47} +(-0.535898 + 2.00000i) q^{48} +(-5.50000 - 4.33013i) q^{49} +(6.56218 - 2.63397i) q^{50} +(1.90192 + 1.09808i) q^{51} +(6.00000 - 6.00000i) q^{52} +(-11.1962 - 3.00000i) q^{53} +4.19615 q^{54} +(-2.73205 + 5.46410i) q^{55} +(-3.26795 - 6.73205i) q^{56} +(1.26795 - 1.26795i) q^{57} +(2.46410 + 2.46410i) q^{58} +(4.26795 - 2.46410i) q^{59} +(-2.19615 + 0.732051i) q^{60} +(-1.96410 + 3.40192i) q^{61} +(-0.267949 - 0.0717968i) q^{62} +(-5.46410 + 4.73205i) q^{63} -8.00000i q^{64} +(9.29423 + 1.90192i) q^{65} +(1.00000 - 1.73205i) q^{66} +(-2.13397 + 7.96410i) q^{67} +(-8.19615 - 2.19615i) q^{68} -3.00000i q^{69} +(4.26795 - 7.19615i) q^{70} +8.53590 q^{71} +(-7.46410 + 2.00000i) q^{72} +(-10.8301 - 2.90192i) q^{73} +(2.19615 + 1.26795i) q^{74} +(-2.03590 - 1.59808i) q^{75} +(-3.46410 + 6.00000i) q^{76} +(1.36603 + 7.09808i) q^{77} +(-3.00000 - 0.803848i) q^{78} +(0.803848 + 0.464102i) q^{79} +(7.46410 - 4.92820i) q^{80} +(3.33013 + 5.76795i) q^{81} +(6.46410 - 6.46410i) q^{82} +(7.56218 + 7.56218i) q^{83} +(-1.53590 + 2.26795i) q^{84} +(-3.00000 - 9.00000i) q^{85} +1.26795 q^{86} +(0.330127 - 1.23205i) q^{87} +(-2.00000 + 7.46410i) q^{88} +(3.40192 - 5.89230i) q^{89} +(-6.46410 - 5.73205i) q^{90} +(10.0981 - 4.90192i) q^{91} +(3.00000 + 11.1962i) q^{92} +(0.0262794 + 0.0980762i) q^{93} +(11.1962 + 6.46410i) q^{94} +(-7.73205 + 0.464102i) q^{95} +(-2.53590 + 1.46410i) q^{96} +(-9.73205 - 9.73205i) q^{97} +(-1.16987 - 9.83013i) q^{98} +7.46410 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 \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).

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

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
\(3\) 0.133975 0.500000i 0.0773503 0.288675i −0.916406 0.400251i \(-0.868923\pi\)
0.993756 + 0.111576i \(0.0355897\pi\)
\(4\) 2.00000i 1.00000i
\(5\) −1.86603 + 1.23205i −0.834512 + 0.550990i
\(6\) 0.633975 0.366025i 0.258819 0.149429i
\(7\) −0.866025 + 2.50000i −0.327327 + 0.944911i
\(8\) −2.00000 + 2.00000i −0.707107 + 0.707107i
\(9\) 2.36603 + 1.36603i 0.788675 + 0.455342i
\(10\) −3.09808 0.633975i −0.979698 0.200480i
\(11\) 2.36603 1.36603i 0.713384 0.411872i −0.0989291 0.995094i \(-0.531542\pi\)
0.812313 + 0.583222i \(0.198208\pi\)
\(12\) 1.00000 + 0.267949i 0.288675 + 0.0773503i
\(13\) −3.00000 3.00000i −0.832050 0.832050i 0.155747 0.987797i \(-0.450222\pi\)
−0.987797 + 0.155747i \(0.950222\pi\)
\(14\) −3.36603 + 1.63397i −0.899608 + 0.436698i
\(15\) 0.366025 + 1.09808i 0.0945074 + 0.283522i
\(16\) −4.00000 −1.00000
\(17\) −1.09808 + 4.09808i −0.266323 + 0.993929i 0.695113 + 0.718900i \(0.255354\pi\)
−0.961436 + 0.275029i \(0.911312\pi\)
\(18\) 1.00000 + 3.73205i 0.235702 + 0.879653i
\(19\) 3.00000 + 1.73205i 0.688247 + 0.397360i 0.802955 0.596040i \(-0.203260\pi\)
−0.114708 + 0.993399i \(0.536593\pi\)
\(20\) −2.46410 3.73205i −0.550990 0.834512i
\(21\) 1.13397 + 0.767949i 0.247454 + 0.167580i
\(22\) 3.73205 + 1.00000i 0.795676 + 0.213201i
\(23\) 5.59808 1.50000i 1.16728 0.312772i 0.377410 0.926046i \(-0.376815\pi\)
0.789870 + 0.613275i \(0.210148\pi\)
\(24\) 0.732051 + 1.26795i 0.149429 + 0.258819i
\(25\) 1.96410 4.59808i 0.392820 0.919615i
\(26\) 6.00000i 1.17670i
\(27\) 2.09808 2.09808i 0.403775 0.403775i
\(28\) −5.00000 1.73205i −0.944911 0.327327i
\(29\) 2.46410 0.457572 0.228786 0.973477i \(-0.426524\pi\)
0.228786 + 0.973477i \(0.426524\pi\)
\(30\) −0.732051 + 1.46410i −0.133654 + 0.267307i
\(31\) −0.169873 + 0.0980762i −0.0305101 + 0.0176150i −0.515177 0.857084i \(-0.672274\pi\)
0.484667 + 0.874699i \(0.338941\pi\)
\(32\) −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
\(35\) −1.46410 5.73205i −0.247478 0.968893i
\(36\) −2.73205 + 4.73205i −0.455342 + 0.788675i
\(37\) 1.73205 0.464102i 0.284747 0.0762978i −0.113618 0.993524i \(-0.536244\pi\)
0.398366 + 0.917227i \(0.369577\pi\)
\(38\) 1.26795 + 4.73205i 0.205689 + 0.767640i
\(39\) −1.90192 + 1.09808i −0.304552 + 0.175833i
\(40\) 1.26795 6.19615i 0.200480 0.979698i
\(41\) 6.46410i 1.00952i −0.863259 0.504762i \(-0.831580\pi\)
0.863259 0.504762i \(-0.168420\pi\)
\(42\) 0.366025 + 1.90192i 0.0564789 + 0.293473i
\(43\) 0.633975 0.633975i 0.0966802 0.0966802i −0.657112 0.753793i \(-0.728222\pi\)
0.753793 + 0.657112i \(0.228222\pi\)
\(44\) 2.73205 + 4.73205i 0.411872 + 0.713384i
\(45\) −6.09808 + 0.366025i −0.909048 + 0.0545638i
\(46\) 7.09808 + 4.09808i 1.04655 + 0.604228i
\(47\) 8.83013 2.36603i 1.28801 0.345120i 0.451103 0.892472i \(-0.351031\pi\)
0.836903 + 0.547351i \(0.184364\pi\)
\(48\) −0.535898 + 2.00000i −0.0773503 + 0.288675i
\(49\) −5.50000 4.33013i −0.785714 0.618590i
\(50\) 6.56218 2.63397i 0.928032 0.372500i
\(51\) 1.90192 + 1.09808i 0.266323 + 0.153761i
\(52\) 6.00000 6.00000i 0.832050 0.832050i
\(53\) −11.1962 3.00000i −1.53791 0.412082i −0.612320 0.790610i \(-0.709764\pi\)
−0.925590 + 0.378528i \(0.876430\pi\)
\(54\) 4.19615 0.571024
\(55\) −2.73205 + 5.46410i −0.368390 + 0.736779i
\(56\) −3.26795 6.73205i −0.436698 0.899608i
\(57\) 1.26795 1.26795i 0.167944 0.167944i
\(58\) 2.46410 + 2.46410i 0.323552 + 0.323552i
\(59\) 4.26795 2.46410i 0.555640 0.320799i −0.195754 0.980653i \(-0.562715\pi\)
0.751394 + 0.659854i \(0.229382\pi\)
\(60\) −2.19615 + 0.732051i −0.283522 + 0.0945074i
\(61\) −1.96410 + 3.40192i −0.251477 + 0.435572i −0.963933 0.266146i \(-0.914250\pi\)
0.712455 + 0.701717i \(0.247583\pi\)
\(62\) −0.267949 0.0717968i −0.0340296 0.00911820i
\(63\) −5.46410 + 4.73205i −0.688412 + 0.596182i
\(64\) 8.00000i 1.00000i
\(65\) 9.29423 + 1.90192i 1.15281 + 0.235905i
\(66\) 1.00000 1.73205i 0.123091 0.213201i
\(67\) −2.13397 + 7.96410i −0.260706 + 0.972970i 0.704120 + 0.710081i \(0.251342\pi\)
−0.964826 + 0.262889i \(0.915325\pi\)
\(68\) −8.19615 2.19615i −0.993929 0.266323i
\(69\) 3.00000i 0.361158i
\(70\) 4.26795 7.19615i 0.510117 0.860105i
\(71\) 8.53590 1.01302 0.506512 0.862233i \(-0.330934\pi\)
0.506512 + 0.862233i \(0.330934\pi\)
\(72\) −7.46410 + 2.00000i −0.879653 + 0.235702i
\(73\) −10.8301 2.90192i −1.26757 0.339644i −0.438471 0.898745i \(-0.644480\pi\)
−0.829100 + 0.559101i \(0.811146\pi\)
\(74\) 2.19615 + 1.26795i 0.255298 + 0.147396i
\(75\) −2.03590 1.59808i −0.235085 0.184530i
\(76\) −3.46410 + 6.00000i −0.397360 + 0.688247i
\(77\) 1.36603 + 7.09808i 0.155673 + 0.808901i
\(78\) −3.00000 0.803848i −0.339683 0.0910178i
\(79\) 0.803848 + 0.464102i 0.0904399 + 0.0522155i 0.544538 0.838736i \(-0.316705\pi\)
−0.454098 + 0.890952i \(0.650038\pi\)
\(80\) 7.46410 4.92820i 0.834512 0.550990i
\(81\) 3.33013 + 5.76795i 0.370014 + 0.640883i
\(82\) 6.46410 6.46410i 0.713841 0.713841i
\(83\) 7.56218 + 7.56218i 0.830057 + 0.830057i 0.987524 0.157467i \(-0.0503329\pi\)
−0.157467 + 0.987524i \(0.550333\pi\)
\(84\) −1.53590 + 2.26795i −0.167580 + 0.247454i
\(85\) −3.00000 9.00000i −0.325396 0.976187i
\(86\) 1.26795 0.136726
\(87\) 0.330127 1.23205i 0.0353933 0.132090i
\(88\) −2.00000 + 7.46410i −0.213201 + 0.795676i
\(89\) 3.40192 5.89230i 0.360603 0.624583i −0.627457 0.778651i \(-0.715904\pi\)
0.988060 + 0.154068i \(0.0492375\pi\)
\(90\) −6.46410 5.73205i −0.681376 0.604211i
\(91\) 10.0981 4.90192i 1.05857 0.513861i
\(92\) 3.00000 + 11.1962i 0.312772 + 1.16728i
\(93\) 0.0262794 + 0.0980762i 0.00272505 + 0.0101700i
\(94\) 11.1962 + 6.46410i 1.15479 + 0.666721i
\(95\) −7.73205 + 0.464102i −0.793292 + 0.0476158i
\(96\) −2.53590 + 1.46410i −0.258819 + 0.149429i
\(97\) −9.73205 9.73205i −0.988140 0.988140i 0.0117904 0.999930i \(-0.496247\pi\)
−0.999930 + 0.0117904i \(0.996247\pi\)
\(98\) −1.16987 9.83013i −0.118175 0.992993i
\(99\) 7.46410 0.750170
\(100\) 9.19615 + 3.92820i 0.919615 + 0.392820i
\(101\) 7.06218 + 12.2321i 0.702713 + 1.21713i 0.967511 + 0.252831i \(0.0813615\pi\)
−0.264798 + 0.964304i \(0.585305\pi\)
\(102\) 0.803848 + 3.00000i 0.0795928 + 0.297044i
\(103\) −1.42820 5.33013i −0.140725 0.525193i −0.999909 0.0135254i \(-0.995695\pi\)
0.859183 0.511668i \(-0.170972\pi\)
\(104\) 12.0000 1.17670
\(105\) −3.06218 0.0358984i −0.298838 0.00350332i
\(106\) −8.19615 14.1962i −0.796081 1.37885i
\(107\) −12.4282 + 3.33013i −1.20148 + 0.321936i −0.803414 0.595421i \(-0.796985\pi\)
−0.398066 + 0.917357i \(0.630319\pi\)
\(108\) 4.19615 + 4.19615i 0.403775 + 0.403775i
\(109\) 3.86603 + 6.69615i 0.370298 + 0.641375i 0.989611 0.143769i \(-0.0459222\pi\)
−0.619313 + 0.785144i \(0.712589\pi\)
\(110\) −8.19615 + 2.73205i −0.781472 + 0.260491i
\(111\) 0.928203i 0.0881012i
\(112\) 3.46410 10.0000i 0.327327 0.944911i
\(113\) 9.46410 + 9.46410i 0.890308 + 0.890308i 0.994552 0.104244i \(-0.0332423\pi\)
−0.104244 + 0.994552i \(0.533242\pi\)
\(114\) 2.53590 0.237509
\(115\) −8.59808 + 9.69615i −0.801775 + 0.904171i
\(116\) 4.92820i 0.457572i
\(117\) −3.00000 11.1962i −0.277350 1.03508i
\(118\) 6.73205 + 1.80385i 0.619736 + 0.166058i
\(119\) −9.29423 6.29423i −0.852001 0.576991i
\(120\) −2.92820 1.46410i −0.267307 0.133654i
\(121\) −1.76795 + 3.06218i −0.160723 + 0.278380i
\(122\) −5.36603 + 1.43782i −0.485817 + 0.130174i
\(123\) −3.23205 0.866025i −0.291424 0.0780869i
\(124\) −0.196152 0.339746i −0.0176150 0.0305101i
\(125\) 2.00000 + 11.0000i 0.178885 + 0.983870i
\(126\) −10.1962 0.732051i −0.908345 0.0652163i
\(127\) −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
\(129\) −0.232051 0.401924i −0.0204309 0.0353874i
\(130\) 7.39230 + 11.1962i 0.648348 + 0.981968i
\(131\) 0.267949 0.464102i 0.0234108 0.0405487i −0.854083 0.520137i \(-0.825881\pi\)
0.877493 + 0.479589i \(0.159214\pi\)
\(132\) 2.73205 0.732051i 0.237795 0.0637168i
\(133\) −6.92820 + 6.00000i −0.600751 + 0.520266i
\(134\) −10.0981 + 5.83013i −0.872341 + 0.503646i
\(135\) −1.33013 + 6.50000i −0.114479 + 0.559431i
\(136\) −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
\(139\) 4.73205i 0.401367i −0.979656 0.200684i \(-0.935684\pi\)
0.979656 0.200684i \(-0.0643163\pi\)
\(140\) 11.4641 2.92820i 0.968893 0.247478i
\(141\) 4.73205i 0.398511i
\(142\) 8.53590 + 8.53590i 0.716317 + 0.716317i
\(143\) −11.1962 3.00000i −0.936269 0.250873i
\(144\) −9.46410 5.46410i −0.788675 0.455342i
\(145\) −4.59808 + 3.03590i −0.381849 + 0.252118i
\(146\) −7.92820 13.7321i −0.656143 1.13647i
\(147\) −2.90192 + 2.16987i −0.239347 + 0.178968i
\(148\) 0.928203 + 3.46410i 0.0762978 + 0.284747i
\(149\) 2.66987 4.62436i 0.218725 0.378842i −0.735694 0.677314i \(-0.763144\pi\)
0.954418 + 0.298472i \(0.0964771\pi\)
\(150\) −0.437822 3.63397i −0.0357480 0.296713i
\(151\) −12.0981 20.9545i −0.984527 1.70525i −0.644018 0.765011i \(-0.722734\pi\)
−0.340510 0.940241i \(-0.610600\pi\)
\(152\) −9.46410 + 2.53590i −0.767640 + 0.205689i
\(153\) −8.19615 + 8.19615i −0.662620 + 0.662620i
\(154\) −5.73205 + 8.46410i −0.461902 + 0.682057i
\(155\) 0.196152 0.392305i 0.0157553 0.0315107i
\(156\) −2.19615 3.80385i −0.175833 0.304552i
\(157\) 7.56218 + 2.02628i 0.603527 + 0.161715i 0.547628 0.836722i \(-0.315531\pi\)
0.0558992 + 0.998436i \(0.482197\pi\)
\(158\) 0.339746 + 1.26795i 0.0270287 + 0.100873i
\(159\) −3.00000 + 5.19615i −0.237915 + 0.412082i
\(160\) 12.3923 + 2.53590i 0.979698 + 0.200480i
\(161\) −1.09808 + 15.2942i −0.0865405 + 1.20535i
\(162\) −2.43782 + 9.09808i −0.191533 + 0.714812i
\(163\) −5.36603 20.0263i −0.420300 1.56858i −0.773978 0.633212i \(-0.781736\pi\)
0.353679 0.935367i \(-0.384931\pi\)
\(164\) 12.9282 1.00952
\(165\) 2.36603 + 2.09808i 0.184195 + 0.163335i
\(166\) 15.1244i 1.17388i
\(167\) 12.2942 + 12.2942i 0.951356 + 0.951356i 0.998871 0.0475146i \(-0.0151301\pi\)
−0.0475146 + 0.998871i \(0.515130\pi\)
\(168\) −3.80385 + 0.732051i −0.293473 + 0.0564789i
\(169\) 5.00000i 0.384615i
\(170\) 6.00000 12.0000i 0.460179 0.920358i
\(171\) 4.73205 + 8.19615i 0.361869 + 0.626775i
\(172\) 1.26795 + 1.26795i 0.0966802 + 0.0966802i
\(173\) 24.1244 6.46410i 1.83414 0.491457i 0.835800 0.549034i \(-0.185004\pi\)
0.998341 + 0.0575778i \(0.0183377\pi\)
\(174\) 1.56218 0.901924i 0.118428 0.0683747i
\(175\) 9.79423 + 8.89230i 0.740374 + 0.672195i
\(176\) −9.46410 + 5.46410i −0.713384 + 0.411872i
\(177\) −0.660254 2.46410i −0.0496277 0.185213i
\(178\) 9.29423 2.49038i 0.696632 0.186662i
\(179\) −12.0263 20.8301i −0.898886 1.55692i −0.828920 0.559367i \(-0.811044\pi\)
−0.0699665 0.997549i \(-0.522289\pi\)
\(180\) −0.732051 12.1962i −0.0545638 0.909048i
\(181\) −22.5167 −1.67365 −0.836825 0.547470i \(-0.815591\pi\)
−0.836825 + 0.547470i \(0.815591\pi\)
\(182\) 15.0000 + 5.19615i 1.11187 + 0.385164i
\(183\) 1.43782 + 1.43782i 0.106287 + 0.106287i
\(184\) −8.19615 + 14.1962i −0.604228 + 1.04655i
\(185\) −2.66025 + 3.00000i −0.195586 + 0.220564i
\(186\) −0.0717968 + 0.124356i −0.00526439 + 0.00911820i
\(187\) 3.00000 + 11.1962i 0.219382 + 0.818744i
\(188\) 4.73205 + 17.6603i 0.345120 + 1.28801i
\(189\) 3.42820 + 7.06218i 0.249365 + 0.513698i
\(190\) −8.19615 7.26795i −0.594611 0.527272i
\(191\) 10.5622 18.2942i 0.764252 1.32372i −0.176389 0.984321i \(-0.556442\pi\)
0.940641 0.339403i \(-0.110225\pi\)
\(192\) −4.00000 1.07180i −0.288675 0.0773503i
\(193\) 0.562178 2.09808i 0.0404664 0.151023i −0.942737 0.333538i \(-0.891757\pi\)
0.983203 + 0.182516i \(0.0584240\pi\)
\(194\) 19.4641i 1.39744i
\(195\) 2.19615 4.39230i 0.157270 0.314539i
\(196\) 8.66025 11.0000i 0.618590 0.785714i
\(197\) −12.4641 12.4641i −0.888030 0.888030i 0.106303 0.994334i \(-0.466099\pi\)
−0.994334 + 0.106303i \(0.966099\pi\)
\(198\) 7.46410 + 7.46410i 0.530451 + 0.530451i
\(199\) −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
\(201\) 3.69615 + 2.13397i 0.260706 + 0.150519i
\(202\) −5.16987 + 19.2942i −0.363751 + 1.35754i
\(203\) −2.13397 + 6.16025i −0.149776 + 0.432365i
\(204\) −2.19615 + 3.80385i −0.153761 + 0.266323i
\(205\) 7.96410 + 12.0622i 0.556237 + 0.842459i
\(206\) 3.90192 6.75833i 0.271860 0.470875i
\(207\) 15.2942 + 4.09808i 1.06302 + 0.284836i
\(208\) 12.0000 + 12.0000i 0.832050 + 0.832050i
\(209\) 9.46410 0.654646
\(210\) −3.02628 3.09808i −0.208833 0.213788i
\(211\) 27.4641i 1.89071i 0.326048 + 0.945353i \(0.394283\pi\)
−0.326048 + 0.945353i \(0.605717\pi\)
\(212\) 6.00000 22.3923i 0.412082 1.53791i
\(213\) 1.14359 4.26795i 0.0783577 0.292435i
\(214\) −15.7583 9.09808i −1.07722 0.621932i
\(215\) −0.401924 + 1.96410i −0.0274110 + 0.133951i
\(216\) 8.39230i 0.571024i
\(217\) −0.0980762 0.509619i −0.00665785 0.0345952i
\(218\) −2.83013 + 10.5622i −0.191680 + 0.715361i
\(219\) −2.90192 + 5.02628i −0.196094 + 0.339644i
\(220\) −10.9282 5.46410i −0.736779 0.368390i
\(221\) 15.5885 9.00000i 1.04859 0.605406i
\(222\) 0.928203 0.928203i 0.0622969 0.0622969i
\(223\) 5.92820 5.92820i 0.396982 0.396982i −0.480185 0.877167i \(-0.659431\pi\)
0.877167 + 0.480185i \(0.159431\pi\)
\(224\) 13.4641 6.53590i 0.899608 0.436698i
\(225\) 10.9282 8.19615i 0.728547 0.546410i
\(226\) 18.9282i 1.25909i
\(227\) −15.5622 4.16987i −1.03290 0.276764i −0.297731 0.954650i \(-0.596230\pi\)
−0.735167 + 0.677886i \(0.762896\pi\)
\(228\) 2.53590 + 2.53590i 0.167944 + 0.167944i
\(229\) −7.39230 4.26795i −0.488497 0.282034i 0.235454 0.971886i \(-0.424342\pi\)
−0.723951 + 0.689852i \(0.757676\pi\)
\(230\) −18.2942 + 1.09808i −1.20629 + 0.0724050i
\(231\) 3.73205 + 0.267949i 0.245551 + 0.0176298i
\(232\) −4.92820 + 4.92820i −0.323552 + 0.323552i
\(233\) −7.09808 + 1.90192i −0.465010 + 0.124599i −0.483714 0.875226i \(-0.660713\pi\)
0.0187040 + 0.999825i \(0.494046\pi\)
\(234\) 8.19615 14.1962i 0.535799 0.928032i
\(235\) −13.5622 + 15.2942i −0.884699 + 0.997685i
\(236\) 4.92820 + 8.53590i 0.320799 + 0.555640i
\(237\) 0.339746 0.339746i 0.0220689 0.0220689i
\(238\) −3.00000 15.5885i −0.194461 1.01045i
\(239\) 1.26795i 0.0820168i −0.999159 0.0410084i \(-0.986943\pi\)
0.999159 0.0410084i \(-0.0130570\pi\)
\(240\) −1.46410 4.39230i −0.0945074 0.283522i
\(241\) −0.339746 + 0.196152i −0.0218850 + 0.0126353i −0.510903 0.859639i \(-0.670689\pi\)
0.489018 + 0.872274i \(0.337355\pi\)
\(242\) −4.83013 + 1.29423i −0.310492 + 0.0831962i
\(243\) 11.9282 3.19615i 0.765195 0.205033i
\(244\) −6.80385 3.92820i −0.435572 0.251477i
\(245\) 15.5981 + 1.30385i 0.996525 + 0.0832998i
\(246\) −2.36603 4.09808i −0.150852 0.261284i
\(247\) −3.80385 14.1962i −0.242033 0.903280i
\(248\) 0.143594 0.535898i 0.00911820 0.0340296i
\(249\) 4.79423 2.76795i 0.303822 0.175412i
\(250\) −9.00000 + 13.0000i −0.569210 + 0.822192i
\(251\) −2.33975 −0.147683 −0.0738417 0.997270i \(-0.523526\pi\)
−0.0738417 + 0.997270i \(0.523526\pi\)
\(252\) −9.46410 10.9282i −0.596182 0.688412i
\(253\) 11.1962 11.1962i 0.703896 0.703896i
\(254\) −22.0000 −1.38040
\(255\) −4.90192 + 0.294229i −0.306970 + 0.0184253i
\(256\) 16.0000 1.00000
\(257\) −6.92820 + 1.85641i −0.432169 + 0.115799i −0.468344 0.883546i \(-0.655149\pi\)
0.0361749 + 0.999345i \(0.488483\pi\)
\(258\) 0.169873 0.633975i 0.0105758 0.0394695i
\(259\) −0.339746 + 4.73205i −0.0211108 + 0.294035i
\(260\) −3.80385 + 18.5885i −0.235905 + 1.15281i
\(261\) 5.83013 + 3.36603i 0.360876 + 0.208352i
\(262\) 0.732051 0.196152i 0.0452262 0.0121183i
\(263\) 5.59808 20.8923i 0.345192 1.28827i −0.547195 0.837005i \(-0.684305\pi\)
0.892388 0.451270i \(-0.149029\pi\)
\(264\) 3.46410 + 2.00000i 0.213201 + 0.123091i
\(265\) 24.5885 8.19615i 1.51046 0.503486i
\(266\) −12.9282 0.928203i −0.792679 0.0569118i
\(267\) −2.49038 2.49038i −0.152409 0.152409i
\(268\) −15.9282 4.26795i −0.972970 0.260706i
\(269\) 9.06218 5.23205i 0.552531 0.319004i −0.197611 0.980280i \(-0.563318\pi\)
0.750142 + 0.661277i \(0.229985\pi\)
\(270\) −7.83013 + 5.16987i −0.476526 + 0.314628i
\(271\) −10.3923 6.00000i −0.631288 0.364474i 0.149963 0.988692i \(-0.452085\pi\)
−0.781251 + 0.624218i \(0.785418\pi\)
\(272\) 4.39230 16.3923i 0.266323 0.993929i
\(273\) −1.09808 5.70577i −0.0664586 0.345329i
\(274\) −6.00000 10.3923i −0.362473 0.627822i
\(275\) −1.63397 13.5622i −0.0985324 0.817830i
\(276\) 6.00000 0.361158
\(277\) 3.75833 14.0263i 0.225816 0.842757i −0.756260 0.654272i \(-0.772975\pi\)
0.982076 0.188486i \(-0.0603580\pi\)
\(278\) 4.73205 4.73205i 0.283810 0.283810i
\(279\) −0.535898 −0.0320834
\(280\) 14.3923 + 8.53590i 0.860105 + 0.510117i
\(281\) 24.2487 1.44656 0.723278 0.690557i \(-0.242634\pi\)
0.723278 + 0.690557i \(0.242634\pi\)
\(282\) 4.73205 4.73205i 0.281790 0.281790i
\(283\) 1.43782 5.36603i 0.0854697 0.318977i −0.909933 0.414755i \(-0.863867\pi\)
0.995403 + 0.0957780i \(0.0305339\pi\)
\(284\) 17.0718i 1.01302i
\(285\) −0.803848 + 3.92820i −0.0476158 + 0.232687i
\(286\) −8.19615 14.1962i −0.484649 0.839436i
\(287\) 16.1603 + 5.59808i 0.953910 + 0.330444i
\(288\) −4.00000 14.9282i −0.235702 0.879653i
\(289\) −0.866025 0.500000i −0.0509427 0.0294118i
\(290\) −7.63397 1.56218i −0.448282 0.0917342i
\(291\) −6.16987 + 3.56218i −0.361684 + 0.208819i
\(292\) 5.80385 21.6603i 0.339644 1.26757i
\(293\) −6.19615 6.19615i −0.361983 0.361983i 0.502560 0.864543i \(-0.332392\pi\)
−0.864543 + 0.502560i \(0.832392\pi\)
\(294\) −5.07180 0.732051i −0.295793 0.0426941i
\(295\) −4.92820 + 9.85641i −0.286931 + 0.573862i
\(296\) −2.53590 + 4.39230i −0.147396 + 0.255298i
\(297\) 2.09808 7.83013i 0.121743 0.454350i
\(298\) 7.29423 1.95448i 0.422543 0.113220i
\(299\) −21.2942 12.2942i −1.23148 0.710994i
\(300\) 3.19615 4.07180i 0.184530 0.235085i
\(301\) 1.03590 + 2.13397i 0.0597082 + 0.123000i
\(302\) 8.85641 33.0526i 0.509629 1.90196i
\(303\) 7.06218 1.89230i 0.405712 0.108710i
\(304\) −12.0000 6.92820i −0.688247 0.397360i
\(305\) −0.526279 8.76795i −0.0301347 0.502051i
\(306\) −16.3923 −0.937086
\(307\) 21.7583 21.7583i 1.24181 1.24181i 0.282565 0.959248i \(-0.408815\pi\)
0.959248 0.282565i \(-0.0911854\pi\)
\(308\) −14.1962 + 2.73205i −0.808901 + 0.155673i
\(309\) −2.85641 −0.162495
\(310\) 0.588457 0.196152i 0.0334221 0.0111407i
\(311\) −9.58846 + 5.53590i −0.543712 + 0.313912i −0.746582 0.665294i \(-0.768306\pi\)
0.202870 + 0.979206i \(0.434973\pi\)
\(312\) 1.60770 6.00000i 0.0910178 0.339683i
\(313\) 8.12436 + 30.3205i 0.459216 + 1.71382i 0.675389 + 0.737461i \(0.263976\pi\)
−0.216173 + 0.976355i \(0.569358\pi\)
\(314\) 5.53590 + 9.58846i 0.312409 + 0.541108i
\(315\) 4.36603 15.5622i 0.245998 0.876829i
\(316\) −0.928203 + 1.60770i −0.0522155 + 0.0904399i
\(317\) 9.83013 2.63397i 0.552115 0.147939i 0.0280336 0.999607i \(-0.491075\pi\)
0.524081 + 0.851668i \(0.324409\pi\)
\(318\) −8.19615 + 2.19615i −0.459617 + 0.123154i
\(319\) 5.83013 3.36603i 0.326424 0.188461i
\(320\) 9.85641 + 14.9282i 0.550990 + 0.834512i
\(321\) 6.66025i 0.371739i
\(322\) −16.3923 + 14.1962i −0.913507 + 0.791121i
\(323\) −10.3923 + 10.3923i −0.578243 + 0.578243i
\(324\) −11.5359 + 6.66025i −0.640883 + 0.370014i
\(325\) −19.6865 + 7.90192i −1.09201 + 0.438320i
\(326\) 14.6603 25.3923i 0.811956 1.40635i
\(327\) 3.86603 1.03590i 0.213792 0.0572853i
\(328\) 12.9282 + 12.9282i 0.713841 + 0.713841i
\(329\) −1.73205 + 24.1244i −0.0954911 + 1.33002i
\(330\) 0.267949 + 4.46410i 0.0147501 + 0.245741i
\(331\) −9.29423 5.36603i −0.510857 0.294943i 0.222329 0.974972i \(-0.428634\pi\)
−0.733186 + 0.680028i \(0.761967\pi\)
\(332\) −15.1244 + 15.1244i −0.830057 + 0.830057i
\(333\) 4.73205 + 1.26795i 0.259315 + 0.0694832i
\(334\) 24.5885i 1.34542i
\(335\) −5.83013 17.4904i −0.318534 0.955602i
\(336\) −4.53590 3.07180i −0.247454 0.167580i
\(337\) −2.33975 + 2.33975i −0.127454 + 0.127454i −0.767956 0.640502i \(-0.778726\pi\)
0.640502 + 0.767956i \(0.278726\pi\)
\(338\) −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
\(341\) −0.267949 + 0.464102i −0.0145103 + 0.0251325i
\(342\) −3.46410 + 12.9282i −0.187317 + 0.699077i
\(343\) 15.5885 10.0000i 0.841698 0.539949i
\(344\) 2.53590i 0.136726i
\(345\) 3.69615 + 5.59808i 0.198994 + 0.301390i
\(346\) 30.5885 + 17.6603i 1.64445 + 0.949421i
\(347\) −4.91858 + 18.3564i −0.264043 + 0.985424i 0.698790 + 0.715327i \(0.253722\pi\)
−0.962833 + 0.270096i \(0.912944\pi\)
\(348\) 2.46410 + 0.660254i 0.132090 + 0.0353933i
\(349\) 31.9808i 1.71189i 0.517066 + 0.855945i \(0.327024\pi\)
−0.517066 + 0.855945i \(0.672976\pi\)
\(350\) 0.901924 + 18.6865i 0.0482099 + 0.998837i
\(351\) −12.5885 −0.671922
\(352\) −14.9282 4.00000i −0.795676 0.213201i
\(353\) −17.1962 4.60770i −0.915259 0.245243i −0.229701 0.973261i \(-0.573775\pi\)
−0.685558 + 0.728018i \(0.740442\pi\)
\(354\) 1.80385 3.12436i 0.0958734 0.166058i
\(355\) −15.9282 + 10.5167i −0.845381 + 0.558166i
\(356\) 11.7846 + 6.80385i 0.624583 + 0.360603i
\(357\) −4.39230 + 3.80385i −0.232465 + 0.201321i
\(358\) 8.80385 32.8564i 0.465298 1.73652i
\(359\) 1.09808 + 0.633975i 0.0579542 + 0.0334599i 0.528697 0.848811i \(-0.322681\pi\)
−0.470743 + 0.882270i \(0.656014\pi\)
\(360\) 11.4641 12.9282i 0.604211 0.681376i
\(361\) −3.50000 6.06218i −0.184211 0.319062i
\(362\) −22.5167 22.5167i −1.18345 1.18345i
\(363\) 1.29423 + 1.29423i 0.0679294 + 0.0679294i
\(364\) 9.80385 + 20.1962i 0.513861 + 1.05857i
\(365\) 23.7846 7.92820i 1.24494 0.414981i
\(366\) 2.87564i 0.150312i
\(367\) −4.06218 + 15.1603i −0.212044 + 0.791359i 0.775142 + 0.631787i \(0.217678\pi\)
−0.987186 + 0.159572i \(0.948989\pi\)
\(368\) −22.3923 + 6.00000i −1.16728 + 0.312772i
\(369\) 8.83013 15.2942i 0.459678 0.796186i
\(370\) −5.66025 + 0.339746i −0.294263 + 0.0176626i
\(371\) 17.1962 25.3923i 0.892780 1.31830i
\(372\) −0.196152 + 0.0525589i −0.0101700 + 0.00272505i
\(373\) −2.53590 9.46410i −0.131304 0.490033i 0.868682 0.495370i \(-0.164968\pi\)
−0.999986 + 0.00533769i \(0.998301\pi\)
\(374\) −8.19615 + 14.1962i −0.423813 + 0.734066i
\(375\) 5.76795 + 0.473721i 0.297856 + 0.0244628i
\(376\) −12.9282 + 22.3923i −0.666721 + 1.15479i
\(377\) −7.39230 7.39230i −0.380723 0.380723i
\(378\) −3.63397 + 10.4904i −0.186911 + 0.539567i
\(379\) 18.2487 0.937373 0.468687 0.883364i \(-0.344727\pi\)
0.468687 + 0.883364i \(0.344727\pi\)
\(380\) −0.928203 15.4641i −0.0476158 0.793292i
\(381\) 4.02628 + 6.97372i 0.206273 + 0.357275i
\(382\) 28.8564 7.73205i 1.47642 0.395606i
\(383\) 1.33013 + 4.96410i 0.0679663 + 0.253654i 0.991547 0.129751i \(-0.0414179\pi\)
−0.923580 + 0.383405i \(0.874751\pi\)
\(384\) −2.92820 5.07180i −0.149429 0.258819i
\(385\) −11.2942 11.5622i −0.575607 0.589263i
\(386\) 2.66025 1.53590i 0.135403 0.0781752i
\(387\) 2.36603 0.633975i 0.120272 0.0322267i
\(388\) 19.4641 19.4641i 0.988140 0.988140i
\(389\) −14.4641 25.0526i −0.733359 1.27022i −0.955440 0.295187i \(-0.904618\pi\)
0.222080 0.975028i \(-0.428715\pi\)
\(390\) 6.58846 2.19615i 0.333620 0.111207i
\(391\) 24.5885i 1.24349i
\(392\) 19.6603 2.33975i 0.992993 0.118175i
\(393\) −0.196152 0.196152i −0.00989458 0.00989458i
\(394\) 24.9282i 1.25586i
\(395\) −2.07180 + 0.124356i −0.104243 + 0.00625701i
\(396\) 14.9282i 0.750170i
\(397\) 0.758330 + 2.83013i 0.0380595 + 0.142040i 0.982341 0.187099i \(-0.0599084\pi\)
−0.944282 + 0.329139i \(0.893242\pi\)
\(398\) 1.26795 4.73205i 0.0635566 0.237196i
\(399\) 2.07180 + 4.26795i 0.103720 + 0.213665i
\(400\) −7.85641 + 18.3923i −0.392820 + 0.919615i
\(401\) −12.3564 + 21.4019i −0.617049 + 1.06876i 0.372972 + 0.927843i \(0.378339\pi\)
−0.990021 + 0.140918i \(0.954994\pi\)
\(402\) 1.56218 + 5.83013i 0.0779143 + 0.290780i
\(403\) 0.803848 + 0.215390i 0.0400425 + 0.0107294i
\(404\) −24.4641 + 14.1244i −1.21713 + 0.702713i
\(405\) −13.3205 6.66025i −0.661901 0.330951i
\(406\) −8.29423 + 4.02628i −0.411636 + 0.199821i
\(407\) 3.46410 3.46410i 0.171709 0.171709i
\(408\) −6.00000 + 1.60770i −0.297044 + 0.0795928i
\(409\) 4.69615 + 8.13397i 0.232210 + 0.402199i 0.958458 0.285233i \(-0.0920711\pi\)
−0.726248 + 0.687432i \(0.758738\pi\)
\(410\) −4.09808 + 20.0263i −0.202390 + 0.989027i
\(411\) −2.19615 + 3.80385i −0.108328 + 0.187630i
\(412\) 10.6603 2.85641i 0.525193 0.140725i
\(413\) 2.46410 + 12.8038i 0.121251 + 0.630036i
\(414\) 11.1962 + 19.3923i 0.550261 + 0.953080i
\(415\) −23.4282 4.79423i −1.15005 0.235339i
\(416\) 24.0000i 1.17670i
\(417\) −2.36603 0.633975i −0.115865 0.0310459i
\(418\) 9.46410 + 9.46410i 0.462904 + 0.462904i
\(419\) 18.3923i 0.898523i 0.893400 + 0.449261i \(0.148313\pi\)
−0.893400 + 0.449261i \(0.851687\pi\)
\(420\) 0.0717968 6.12436i 0.00350332 0.298838i
\(421\) 5.87564i 0.286361i −0.989697 0.143181i \(-0.954267\pi\)
0.989697 0.143181i \(-0.0457330\pi\)
\(422\) −27.4641 + 27.4641i −1.33693 + 1.33693i
\(423\) 24.1244 + 6.46410i 1.17297 + 0.314295i
\(424\) 28.3923 16.3923i 1.37885 0.796081i
\(425\) 16.6865 + 13.0981i 0.809416 + 0.635350i
\(426\) 5.41154 3.12436i 0.262190 0.151376i
\(427\) −6.80385 7.85641i −0.329261 0.380198i
\(428\) −6.66025 24.8564i −0.321936 1.20148i
\(429\) −3.00000 + 5.19615i −0.144841 + 0.250873i
\(430\) −2.36603 + 1.56218i −0.114100 + 0.0753349i
\(431\) 8.36603 + 14.4904i 0.402977 + 0.697977i 0.994084 0.108616i \(-0.0346420\pi\)
−0.591106 + 0.806594i \(0.701309\pi\)
\(432\) −8.39230 + 8.39230i −0.403775 + 0.403775i
\(433\) 4.53590 4.53590i 0.217981 0.217981i −0.589666 0.807647i \(-0.700741\pi\)
0.807647 + 0.589666i \(0.200741\pi\)
\(434\) 0.411543 0.607695i 0.0197547 0.0291703i
\(435\) 0.901924 + 2.70577i 0.0432439 + 0.129732i
\(436\) −13.3923 + 7.73205i −0.641375 + 0.370298i
\(437\) 19.3923 + 5.19615i 0.927660 + 0.248566i
\(438\) −7.92820 + 2.12436i −0.378824 + 0.101506i
\(439\) −14.6603 + 25.3923i −0.699696 + 1.21191i 0.268876 + 0.963175i \(0.413348\pi\)
−0.968572 + 0.248734i \(0.919986\pi\)
\(440\) −5.46410 16.3923i −0.260491 0.781472i
\(441\) −7.09808 17.7583i −0.338004 0.845635i
\(442\) 24.5885 + 6.58846i 1.16955 + 0.313381i
\(443\) 5.64359 + 21.0622i 0.268135 + 1.00069i 0.960303 + 0.278958i \(0.0899890\pi\)
−0.692168 + 0.721736i \(0.743344\pi\)
\(444\) 1.85641 0.0881012
\(445\) 0.911543 + 15.1865i 0.0432113 + 0.719911i
\(446\) 11.8564 0.561417
\(447\) −1.95448 1.95448i −0.0924439 0.0924439i
\(448\) 20.0000 + 6.92820i 0.944911 + 0.327327i
\(449\) 12.8038i 0.604251i −0.953268 0.302125i \(-0.902304\pi\)
0.953268 0.302125i \(-0.0976962\pi\)
\(450\) 19.1244 + 2.73205i 0.901531 + 0.128790i
\(451\) −8.83013 15.2942i −0.415794 0.720177i
\(452\) −18.9282 + 18.9282i −0.890308 + 0.890308i
\(453\) −12.0981 + 3.24167i −0.568417 + 0.152307i
\(454\) −11.3923 19.7321i −0.534667 0.926071i
\(455\) −12.8038 + 21.5885i −0.600254 + 1.01208i
\(456\) 5.07180i 0.237509i
\(457\) 0.0717968 + 0.267949i 0.00335851 + 0.0125341i 0.967585 0.252547i \(-0.0812681\pi\)
−0.964226 + 0.265081i \(0.914601\pi\)
\(458\) −3.12436 11.6603i −0.145992 0.544848i
\(459\) 6.29423 + 10.9019i 0.293789 + 0.508858i
\(460\) −19.3923 17.1962i −0.904171 0.801775i
\(461\) −39.8564 −1.85630 −0.928149 0.372209i \(-0.878600\pi\)
−0.928149 + 0.372209i \(0.878600\pi\)
\(462\) 3.46410 + 4.00000i 0.161165 + 0.186097i
\(463\) −7.83013 7.83013i −0.363897 0.363897i 0.501349 0.865245i \(-0.332837\pi\)
−0.865245 + 0.501349i \(0.832837\pi\)
\(464\) −9.85641 −0.457572
\(465\) −0.169873 0.150635i −0.00787767 0.00698554i
\(466\) −9.00000 5.19615i −0.416917 0.240707i
\(467\) 2.76795 + 10.3301i 0.128085 + 0.478021i 0.999931 0.0117598i \(-0.00374336\pi\)
−0.871845 + 0.489781i \(0.837077\pi\)
\(468\) 22.3923 6.00000i 1.03508 0.277350i
\(469\) −18.0622 12.2321i −0.834034 0.564824i
\(470\) −28.8564 + 1.73205i −1.33105 + 0.0798935i
\(471\) 2.02628 3.50962i 0.0933660 0.161715i
\(472\) −3.60770 + 13.4641i −0.166058 + 0.619736i
\(473\) 0.633975 2.36603i 0.0291502 0.108790i
\(474\) 0.679492 0.0312101
\(475\) 13.8564 10.3923i 0.635776 0.476832i
\(476\) 12.5885 18.5885i 0.576991 0.852001i
\(477\) −22.3923 22.3923i −1.02527 1.02527i
\(478\) 1.26795 1.26795i 0.0579946 0.0579946i
\(479\) −7.09808 12.2942i −0.324319 0.561738i 0.657055 0.753843i \(-0.271802\pi\)
−0.981374 + 0.192105i \(0.938469\pi\)
\(480\) 2.92820 5.85641i 0.133654 0.267307i
\(481\) −6.58846 3.80385i −0.300408 0.173441i
\(482\) −0.535898 0.143594i −0.0244095 0.00654051i
\(483\) 7.50000 + 2.59808i 0.341262 + 0.118217i
\(484\) −6.12436 3.53590i −0.278380 0.160723i
\(485\) 30.1506 + 6.16987i 1.36907 + 0.280160i
\(486\) 15.1244 + 8.73205i 0.686055 + 0.396094i
\(487\) −0.0980762 0.0262794i −0.00444426 0.00119084i 0.256596 0.966519i \(-0.417399\pi\)
−0.261040 + 0.965328i \(0.584066\pi\)
\(488\) −2.87564 10.7321i −0.130174 0.485817i
\(489\) −10.7321 −0.485320
\(490\) 14.2942 + 16.9019i 0.645747 + 0.763551i
\(491\) 1.80385i 0.0814065i −0.999171 0.0407033i \(-0.987040\pi\)
0.999171 0.0407033i \(-0.0129598\pi\)
\(492\) 1.73205 6.46410i 0.0780869 0.291424i
\(493\) −2.70577 + 10.0981i −0.121862 + 0.454794i
\(494\) 10.3923 18.0000i 0.467572 0.809858i
\(495\) −13.9282 + 9.19615i −0.626026 + 0.413336i
\(496\) 0.679492 0.392305i 0.0305101 0.0176150i
\(497\) −7.39230 + 21.3397i −0.331590 + 0.957218i
\(498\) 7.56218 + 2.02628i 0.338869 + 0.0907998i
\(499\) −15.7583 + 27.2942i −0.705440 + 1.22186i 0.261093 + 0.965314i \(0.415917\pi\)
−0.966533 + 0.256544i \(0.917416\pi\)
\(500\) −22.0000 + 4.00000i −0.983870 + 0.178885i
\(501\) 7.79423 4.50000i 0.348220 0.201045i
\(502\) −2.33975 2.33975i −0.104428 0.104428i
\(503\) −13.6865 + 13.6865i −0.610252 + 0.610252i −0.943012 0.332759i \(-0.892020\pi\)
0.332759 + 0.943012i \(0.392020\pi\)
\(504\) 1.46410 20.3923i 0.0652163 0.908345i
\(505\) −28.2487 14.1244i −1.25705 0.628526i
\(506\) 22.3923 0.995459
\(507\) 2.50000 + 0.669873i 0.111029 + 0.0297501i
\(508\) −22.0000 22.0000i −0.976092 0.976092i
\(509\) 23.4282 + 13.5263i 1.03844 + 0.599542i 0.919390 0.393347i \(-0.128683\pi\)
0.119047 + 0.992889i \(0.462016\pi\)
\(510\) −5.19615 4.60770i −0.230089 0.204032i
\(511\) 16.6340 24.5622i 0.735844 1.08657i
\(512\) 16.0000 + 16.0000i 0.707107 + 0.707107i
\(513\) 9.92820 2.66025i 0.438341 0.117453i
\(514\) −8.78461 5.07180i −0.387473 0.223707i
\(515\) 9.23205 + 8.18653i 0.406813 + 0.360742i
\(516\) 0.803848 0.464102i 0.0353874 0.0204309i
\(517\) 17.6603 17.6603i 0.776697 0.776697i
\(518\) −5.07180 + 4.39230i −0.222842 + 0.192987i
\(519\) 12.9282i 0.567485i
\(520\) −22.3923 + 14.7846i −0.981968 + 0.648348i
\(521\) −13.3923 + 7.73205i −0.586728 + 0.338747i −0.763802 0.645450i \(-0.776670\pi\)
0.177075 + 0.984197i \(0.443337\pi\)
\(522\) 2.46410 + 9.19615i 0.107851 + 0.402505i
\(523\) 32.4904 8.70577i 1.42071 0.380677i 0.534971 0.844870i \(-0.320322\pi\)
0.885734 + 0.464193i \(0.153656\pi\)
\(524\) 0.928203 + 0.535898i 0.0405487 + 0.0234108i
\(525\) 5.75833 3.70577i 0.251314 0.161733i
\(526\) 26.4904 15.2942i 1.15504 0.666860i
\(527\) −0.215390 0.803848i −0.00938255 0.0350162i
\(528\) 1.46410 + 5.46410i 0.0637168 + 0.237795i
\(529\) 9.16987 5.29423i 0.398690 0.230184i
\(530\) 32.7846 + 16.3923i 1.42407 + 0.712036i
\(531\) 13.4641 0.584292
\(532\) −12.0000 13.8564i −0.520266 0.600751i
\(533\) −19.3923 + 19.3923i −0.839974 + 0.839974i
\(534\) 4.98076i 0.215539i
\(535\) 19.0885 21.5263i 0.825266 0.930662i
\(536\) −11.6603 20.1962i −0.503646 0.872341i
\(537\) −12.0263 + 3.22243i −0.518972 + 0.139058i
\(538\) 14.2942 + 3.83013i 0.616268 + 0.165129i
\(539\) −18.9282 2.73205i −0.815295 0.117678i
\(540\) −13.0000 2.66025i −0.559431 0.114479i
\(541\) −13.7942 7.96410i −0.593060 0.342403i 0.173246 0.984879i \(-0.444574\pi\)
−0.766307 + 0.642475i \(0.777908\pi\)
\(542\) −4.39230 16.3923i −0.188666 0.704110i
\(543\) −3.01666 + 11.2583i −0.129457 + 0.483141i
\(544\) 20.7846 12.0000i 0.891133 0.514496i
\(545\) −15.4641 7.73205i −0.662409 0.331205i
\(546\) 4.60770 6.80385i 0.197191 0.291178i
\(547\) 11.4904 + 11.4904i 0.491293 + 0.491293i 0.908714 0.417420i \(-0.137066\pi\)
−0.417420 + 0.908714i \(0.637066\pi\)
\(548\) 4.39230 16.3923i 0.187630 0.700245i
\(549\) −9.29423 + 5.36603i −0.396668 + 0.229016i
\(550\) 11.9282 15.1962i 0.508620 0.647966i
\(551\) 7.39230 + 4.26795i 0.314923 + 0.181821i
\(552\) 6.00000 + 6.00000i 0.255377 + 0.255377i
\(553\) −1.85641 + 1.60770i −0.0789424 + 0.0683662i
\(554\) 17.7846 10.2679i 0.755596 0.436243i
\(555\) 1.14359 + 1.73205i 0.0485428 + 0.0735215i
\(556\) 9.46410 0.401367
\(557\) −8.24167 + 30.7583i −0.349211 + 1.30327i 0.538404 + 0.842687i \(0.319027\pi\)
−0.887615 + 0.460586i \(0.847639\pi\)
\(558\) −0.535898 0.535898i −0.0226864 0.0226864i
\(559\) −3.80385 −0.160886
\(560\) 5.85641 + 22.9282i 0.247478 + 0.968893i
\(561\) 6.00000 0.253320
\(562\) 24.2487 + 24.2487i 1.02287 + 1.02287i
\(563\) 1.35641 5.06218i 0.0571657 0.213345i −0.931435 0.363909i \(-0.881442\pi\)
0.988600 + 0.150563i \(0.0481087\pi\)
\(564\) 9.46410 0.398511
\(565\) −29.3205 6.00000i −1.23352 0.252422i
\(566\) 6.80385 3.92820i 0.285987 0.165115i
\(567\) −17.3038 + 3.33013i −0.726693 + 0.139852i
\(568\) −17.0718 + 17.0718i −0.716317 + 0.716317i
\(569\) −29.1962 16.8564i −1.22397 0.706657i −0.258205 0.966090i \(-0.583131\pi\)
−0.965761 + 0.259433i \(0.916464\pi\)
\(570\) −4.73205 + 3.12436i −0.198204 + 0.130865i
\(571\) 26.7846 15.4641i 1.12090 0.647153i 0.179270 0.983800i \(-0.442626\pi\)
0.941631 + 0.336647i \(0.109293\pi\)
\(572\) 6.00000 22.3923i 0.250873 0.936269i
\(573\) −7.73205 7.73205i −0.323011 0.323011i
\(574\) 10.5622 + 21.7583i 0.440857 + 0.908175i
\(575\) 4.09808 28.6865i 0.170902 1.19631i
\(576\) 10.9282 18.9282i 0.455342 0.788675i
\(577\) 9.49038 35.4186i 0.395090 1.47449i −0.426538 0.904470i \(-0.640267\pi\)
0.821627 0.570025i \(-0.193067\pi\)
\(578\) −0.366025 1.36603i −0.0152246 0.0568192i
\(579\) −0.973721 0.562178i −0.0404664 0.0233633i
\(580\) −6.07180 9.19615i −0.252118 0.381849i
\(581\) −25.4545 + 12.3564i −1.05603 + 0.512630i
\(582\) −9.73205 2.60770i −0.403406 0.108092i
\(583\) −30.5885 + 8.19615i −1.26684 + 0.339450i
\(584\) 27.4641 15.8564i 1.13647 0.656143i
\(585\) 19.3923 + 17.1962i 0.801773 + 0.710973i
\(586\) 12.3923i 0.511921i
\(587\) 9.00000 9.00000i 0.371470 0.371470i −0.496543 0.868012i \(-0.665397\pi\)
0.868012 + 0.496543i \(0.165397\pi\)
\(588\) −4.33975 5.80385i −0.178968 0.239347i
\(589\) −0.679492 −0.0279980
\(590\) −14.7846 + 4.92820i −0.608673 + 0.202891i
\(591\) −7.90192 + 4.56218i −0.325042 + 0.187663i
\(592\) −6.92820 + 1.85641i −0.284747 + 0.0762978i
\(593\) −3.80385 14.1962i −0.156205 0.582966i −0.998999 0.0447296i \(-0.985757\pi\)
0.842794 0.538237i \(-0.180909\pi\)
\(594\) 9.92820 5.73205i 0.407359 0.235189i
\(595\) 25.0981 + 0.294229i 1.02892 + 0.0120622i
\(596\) 9.24871 + 5.33975i 0.378842 + 0.218725i
\(597\) −1.73205 + 0.464102i −0.0708881 + 0.0189944i
\(598\) −9.00000 33.5885i −0.368037 1.37353i
\(599\) −21.0000 + 12.1244i −0.858037 + 0.495388i −0.863354 0.504598i \(-0.831641\pi\)
0.00531761 + 0.999986i \(0.498307\pi\)
\(600\) 7.26795 0.875644i 0.296713 0.0357480i
\(601\) 7.60770i 0.310324i −0.987889 0.155162i \(-0.950410\pi\)
0.987889 0.155162i \(-0.0495900\pi\)
\(602\) −1.09808 + 3.16987i −0.0447542 + 0.129194i
\(603\) −15.9282 + 15.9282i −0.648647 + 0.648647i
\(604\) 41.9090 24.1962i 1.70525 0.984527i
\(605\) −0.473721 7.89230i −0.0192595 0.320868i
\(606\) 8.95448 + 5.16987i 0.363751 + 0.210012i
\(607\) 11.1603 2.99038i 0.452981 0.121376i −0.0251130 0.999685i \(-0.507995\pi\)
0.478094 + 0.878309i \(0.341328\pi\)
\(608\) −5.07180 18.9282i −0.205689 0.767640i
\(609\) 2.79423 + 1.89230i 0.113228 + 0.0766801i
\(610\) 8.24167 9.29423i 0.333695 0.376312i
\(611\) −33.5885 19.3923i −1.35884 0.784529i
\(612\) −16.3923 16.3923i −0.662620 0.662620i
\(613\) −13.5622 3.63397i −0.547771 0.146775i −0.0256889 0.999670i \(-0.508178\pi\)
−0.522082 + 0.852895i \(0.674845\pi\)
\(614\) 43.5167 1.75619
\(615\) 7.09808 2.36603i 0.286222 0.0954074i
\(616\) −16.9282 11.4641i −0.682057 0.461902i
\(617\) 12.9282 12.9282i 0.520470 0.520470i −0.397243 0.917713i \(-0.630033\pi\)
0.917713 + 0.397243i \(0.130033\pi\)
\(618\) −2.85641 2.85641i −0.114902 0.114902i
\(619\) −0.294229 + 0.169873i −0.0118260 + 0.00682777i −0.505901 0.862591i \(-0.668840\pi\)
0.494075 + 0.869419i \(0.335507\pi\)
\(620\) 0.784610 + 0.392305i 0.0315107 + 0.0157553i
\(621\) 8.59808 14.8923i 0.345029 0.597608i
\(622\) −15.1244 4.05256i −0.606431 0.162493i
\(623\) 11.7846 + 13.6077i 0.472140 + 0.545181i
\(624\) 7.60770 4.39230i 0.304552 0.175833i
\(625\) −17.2846 18.0622i −0.691384 0.722487i
\(626\) −22.1962 + 38.4449i −0.887137 + 1.53657i
\(627\) 1.26795 4.73205i 0.0506370 0.188980i
\(628\) −4.05256 + 15.1244i −0.161715 + 0.603527i
\(629\) 7.60770i 0.303339i
\(630\) 19.9282 11.1962i 0.793959 0.446065i
\(631\) −10.7321 −0.427236 −0.213618 0.976917i \(-0.568525\pi\)
−0.213618 + 0.976917i \(0.568525\pi\)
\(632\) −2.53590 + 0.679492i −0.100873 + 0.0270287i
\(633\) 13.7321 + 3.67949i 0.545800 + 0.146247i
\(634\) 12.4641 + 7.19615i 0.495013 + 0.285796i
\(635\) 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
\(638\) 9.19615 + 2.46410i 0.364079 + 0.0975547i
\(639\) 20.1962 + 11.6603i 0.798947 + 0.461273i
\(640\) −5.07180 + 24.7846i −0.200480 + 0.979698i
\(641\) 7.66987 + 13.2846i 0.302942 + 0.524711i 0.976801 0.214149i \(-0.0686979\pi\)
−0.673859 + 0.738860i \(0.735365\pi\)
\(642\) −6.66025 + 6.66025i −0.262859 + 0.262859i
\(643\) 9.00000 + 9.00000i 0.354925 + 0.354925i 0.861938 0.507013i \(-0.169250\pi\)
−0.507013 + 0.861938i \(0.669250\pi\)
\(644\) −30.5885 2.19615i −1.20535 0.0865405i
\(645\) 0.928203 + 0.464102i 0.0365480 + 0.0182740i
\(646\) −20.7846 −0.817760
\(647\) 3.74167 13.9641i 0.147100 0.548985i −0.852553 0.522641i \(-0.824947\pi\)
0.999653 0.0263442i \(-0.00838660\pi\)
\(648\) −18.1962 4.87564i −0.714812 0.191533i
\(649\) 6.73205 11.6603i 0.264256 0.457705i
\(650\) −27.5885 11.7846i −1.08211 0.462230i
\(651\) −0.267949 0.0192379i −0.0105018 0.000753992i
\(652\) 40.0526 10.7321i 1.56858 0.420300i
\(653\) 8.41858 + 31.4186i 0.329445 + 1.22950i 0.909768 + 0.415118i \(0.136260\pi\)
−0.580323 + 0.814386i \(0.697074\pi\)
\(654\) 4.90192 + 2.83013i 0.191680 + 0.110667i
\(655\) 0.0717968 + 1.19615i 0.00280533 + 0.0467375i
\(656\) 25.8564i 1.00952i
\(657\) −21.6603 21.6603i −0.845047 0.845047i
\(658\) −25.8564 + 22.3923i −1.00799 + 0.872943i
\(659\) 4.67949 0.182287 0.0911436 0.995838i \(-0.470948\pi\)
0.0911436 + 0.995838i \(0.470948\pi\)
\(660\) −4.19615 + 4.73205i −0.163335 + 0.184195i
\(661\) −13.0359 22.5788i −0.507038 0.878215i −0.999967 0.00814557i \(-0.997407\pi\)
0.492929 0.870069i \(-0.335926\pi\)
\(662\) −3.92820 14.6603i −0.152674 0.569787i
\(663\) −2.41154 9.00000i −0.0936566 0.349531i
\(664\) −30.2487 −1.17388
\(665\) 5.53590 19.7321i 0.214673 0.765176i
\(666\) 3.46410 + 6.00000i 0.134231 + 0.232495i
\(667\) 13.7942 3.69615i 0.534115 0.143116i
\(668\) −24.5885 + 24.5885i −0.951356 + 0.951356i
\(669\) −2.16987 3.75833i −0.0838921 0.145305i
\(670\) 11.6603 23.3205i 0.450475 0.900950i
\(671\) 10.7321i 0.414306i
\(672\) −1.46410 7.60770i −0.0564789 0.293473i
\(673\) 0.196152 + 0.196152i 0.00756112 + 0.00756112i 0.710877 0.703316i \(-0.248298\pi\)
−0.703316 + 0.710877i \(0.748298\pi\)
\(674\) −4.67949 −0.180247
\(675\) −5.52628 13.7679i −0.212707 0.529929i
\(676\) −10.0000 −0.384615
\(677\) 7.56218 + 28.2224i 0.290638 + 1.08468i 0.944620 + 0.328166i \(0.106431\pi\)
−0.653982 + 0.756510i \(0.726903\pi\)
\(678\) 9.46410 + 2.53590i 0.363467 + 0.0973906i
\(679\) 32.7583 15.9019i 1.25715 0.610260i
\(680\) 24.0000 + 12.0000i 0.920358 + 0.460179i
\(681\) −4.16987 + 7.22243i −0.159790 + 0.276764i
\(682\) −0.732051 + 0.196152i −0.0280317 + 0.00751106i
\(683\) 6.13397 + 1.64359i 0.234710 + 0.0628904i 0.374257 0.927325i \(-0.377898\pi\)
−0.139547 + 0.990215i \(0.544565\pi\)
\(684\) −16.3923 + 9.46410i −0.626775 + 0.361869i
\(685\) 18.0000 6.00000i 0.687745 0.229248i
\(686\) 25.5885 + 5.58846i 0.976972 + 0.213368i
\(687\) −3.12436 + 3.12436i −0.119202 + 0.119202i
\(688\) −2.53590 + 2.53590i −0.0966802 + 0.0966802i
\(689\) 24.5885 + 42.5885i 0.936746 + 1.62249i
\(690\) −1.90192 + 9.29423i −0.0724050 + 0.353825i
\(691\) −0.758330 + 1.31347i −0.0288482 + 0.0499666i −0.880089 0.474809i \(-0.842517\pi\)
0.851241 + 0.524775i \(0.175851\pi\)
\(692\) 12.9282 + 48.2487i 0.491457 + 1.83414i
\(693\) −6.46410 + 18.6603i −0.245551 + 0.708844i
\(694\) −23.2750 + 13.4378i −0.883507 + 0.510093i
\(695\) 5.83013 + 8.83013i 0.221149 + 0.334946i
\(696\) 1.80385 + 3.12436i 0.0683747 + 0.118428i
\(697\) 26.4904 + 7.09808i 1.00339 + 0.268859i
\(698\) −31.9808 + 31.9808i −1.21049 + 1.21049i
\(699\) 3.80385i 0.143875i
\(700\) −17.7846 + 19.5885i −0.672195 + 0.740374i
\(701\) 17.9808i 0.679124i 0.940584 + 0.339562i \(0.110279\pi\)
−0.940584 + 0.339562i \(0.889721\pi\)
\(702\) −12.5885 12.5885i −0.475121 0.475121i
\(703\) 6.00000 + 1.60770i 0.226294 + 0.0606354i
\(704\) −10.9282 18.9282i −0.411872 0.713384i
\(705\) 5.83013 + 8.83013i 0.219575 + 0.332562i
\(706\) −12.5885 21.8038i −0.473773 0.820599i
\(707\) −36.6962 + 7.06218i −1.38010 + 0.265601i
\(708\) 4.92820 1.32051i 0.185213 0.0496277i
\(709\) 1.03590 1.79423i 0.0389040 0.0673837i −0.845918 0.533313i \(-0.820947\pi\)
0.884822 + 0.465930i \(0.154280\pi\)
\(710\) −26.4449 5.41154i −0.992458 0.203092i
\(711\) 1.26795 + 2.19615i 0.0475518 + 0.0823622i
\(712\) 4.98076 + 18.5885i 0.186662 + 0.696632i
\(713\) −0.803848 + 0.803848i −0.0301043 + 0.0301043i
\(714\) −8.19615 0.588457i −0.306733 0.0220225i
\(715\) 24.5885 8.19615i 0.919556 0.306519i
\(716\) 41.6603 24.0526i 1.55692 0.898886i
\(717\) −0.633975 0.169873i −0.0236762 0.00634402i
\(718\) 0.464102 + 1.73205i 0.0173201 + 0.0646396i
\(719\) 3.63397 6.29423i 0.135524 0.234735i −0.790273 0.612755i \(-0.790061\pi\)
0.925798 + 0.378019i \(0.123395\pi\)
\(720\) 24.3923 1.46410i 0.909048 0.0545638i
\(721\) 14.5622 + 1.04552i 0.542324 + 0.0389371i
\(722\) 2.56218 9.56218i 0.0953544 0.355867i
\(723\) 0.0525589 + 0.196152i 0.00195469 + 0.00729499i
\(724\) 45.0333i 1.67365i
\(725\) 4.83975 11.3301i 0.179744 0.420790i
\(726\) 2.58846i 0.0960667i
\(727\) 1.70577 + 1.70577i 0.0632636 + 0.0632636i 0.738031 0.674767i \(-0.235756\pi\)
−0.674767 + 0.738031i \(0.735756\pi\)
\(728\) −10.3923 + 30.0000i −0.385164 + 1.11187i
\(729\) 13.5885i 0.503276i
\(730\) 31.7128 + 15.8564i 1.17374 + 0.586872i
\(731\) 1.90192 + 3.29423i 0.0703452 + 0.121841i
\(732\) −2.87564 + 2.87564i −0.106287 + 0.106287i
\(733\) −21.2942 + 5.70577i −0.786520 + 0.210747i −0.629657 0.776873i \(-0.716805\pi\)
−0.156863 + 0.987620i \(0.550138\pi\)
\(734\) −19.2224 + 11.0981i −0.709513 + 0.409637i
\(735\) 2.74167 7.62436i 0.101128 0.281229i
\(736\) −28.3923 16.3923i −1.04655 0.604228i
\(737\) 5.83013 + 21.7583i 0.214755 + 0.801478i
\(738\) 24.1244 6.46410i 0.888030 0.237947i
\(739\) −2.83013 4.90192i −0.104108 0.180320i 0.809265 0.587443i \(-0.199865\pi\)
−0.913373 + 0.407123i \(0.866532\pi\)
\(740\) −6.00000 5.32051i −0.220564 0.195586i
\(741\) −7.60770 −0.279476
\(742\) 42.5885 8.19615i 1.56347 0.300890i
\(743\) 6.41858 + 6.41858i 0.235475 + 0.235475i 0.814973 0.579498i \(-0.196751\pi\)
−0.579498 + 0.814973i \(0.696751\pi\)
\(744\) −0.248711 0.143594i −0.00911820 0.00526439i
\(745\) 0.715390 + 11.9186i 0.0262099 + 0.436663i
\(746\) 6.92820 12.0000i 0.253660 0.439351i
\(747\) 7.56218 + 28.2224i 0.276686 + 1.03260i
\(748\) −22.3923 + 6.00000i −0.818744 + 0.219382i
\(749\) 2.43782 33.9545i 0.0890761 1.24067i
\(750\) 5.29423 + 6.24167i 0.193318 + 0.227914i
\(751\) −5.19615 + 9.00000i −0.189610 + 0.328415i −0.945120 0.326722i \(-0.894056\pi\)
0.755510 + 0.655137i \(0.227389\pi\)
\(752\) −35.3205 + 9.46410i −1.28801 + 0.345120i
\(753\) −0.313467 + 1.16987i −0.0114234 + 0.0426325i
\(754\) 14.7846i 0.538424i
\(755\) 48.3923 + 24.1962i 1.76118 + 0.880588i
\(756\) −14.1244 + 6.85641i −0.513698 + 0.249365i
\(757\) −1.05256 1.05256i −0.0382559 0.0382559i 0.687720 0.725976i \(-0.258612\pi\)
−0.725976 + 0.687720i \(0.758612\pi\)
\(758\) 18.2487 + 18.2487i 0.662823 + 0.662823i
\(759\) −4.09808 7.09808i −0.148751 0.257644i
\(760\) 14.5359 16.3923i 0.527272 0.594611i
\(761\) −41.1962 23.7846i −1.49336 0.862191i −0.493388 0.869809i \(-0.664242\pi\)
−0.999971 + 0.00761770i \(0.997575\pi\)
\(762\) −2.94744 + 11.0000i −0.106775 + 0.398488i
\(763\) −20.0885 + 3.86603i −0.727251 + 0.139960i
\(764\) 36.5885 + 21.1244i 1.32372 + 0.764252i
\(765\) 5.19615 25.3923i 0.187867 0.918061i
\(766\) −3.63397 + 6.29423i −0.131301 + 0.227420i
\(767\) −20.1962 5.41154i −0.729241 0.195399i
\(768\) 2.14359 8.00000i 0.0773503 0.288675i
\(769\) 46.6410 1.68192 0.840959 0.541099i \(-0.181992\pi\)
0.840959 + 0.541099i \(0.181992\pi\)
\(770\) 0.267949 22.8564i 0.00965622 0.823688i
\(771\)