Properties

Label 280.2.bv.a.213.1
Level $280$
Weight $2$
Character 280.213
Analytic conductor $2.236$
Analytic rank $1$
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: \(1\)
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 213.1
Root \(-0.866025 - 0.500000i\) of defining polynomial
Character \(\chi\) \(=\) 280.213
Dual form 280.2.bv.a.117.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.00000 - 1.00000i) q^{2} +(-0.500000 + 0.133975i) q^{3} +2.00000i q^{4} +(-0.133975 - 2.23205i) q^{5} +(0.633975 + 0.366025i) q^{6} +(-2.50000 + 0.866025i) q^{7} +(2.00000 - 2.00000i) q^{8} +(-2.36603 + 1.36603i) q^{9} +O(q^{10})\) \(q+(-1.00000 - 1.00000i) q^{2} +(-0.500000 + 0.133975i) q^{3} +2.00000i q^{4} +(-0.133975 - 2.23205i) q^{5} +(0.633975 + 0.366025i) q^{6} +(-2.50000 + 0.866025i) q^{7} +(2.00000 - 2.00000i) q^{8} +(-2.36603 + 1.36603i) q^{9} +(-2.09808 + 2.36603i) q^{10} +(2.36603 + 1.36603i) q^{11} +(-0.267949 - 1.00000i) q^{12} +(-3.00000 - 3.00000i) q^{13} +(3.36603 + 1.63397i) q^{14} +(0.366025 + 1.09808i) q^{15} -4.00000 q^{16} +(-4.09808 + 1.09808i) q^{17} +(3.73205 + 1.00000i) q^{18} +(-3.00000 + 1.73205i) q^{19} +(4.46410 - 0.267949i) q^{20} +(1.13397 - 0.767949i) q^{21} +(-1.00000 - 3.73205i) q^{22} +(-1.50000 + 5.59808i) q^{23} +(-0.732051 + 1.26795i) q^{24} +(-4.96410 + 0.598076i) q^{25} +6.00000i q^{26} +(2.09808 - 2.09808i) q^{27} +(-1.73205 - 5.00000i) q^{28} -2.46410 q^{29} +(0.732051 - 1.46410i) q^{30} +(-0.169873 - 0.0980762i) q^{31} +(4.00000 + 4.00000i) q^{32} +(-1.36603 - 0.366025i) q^{33} +(5.19615 + 3.00000i) q^{34} +(2.26795 + 5.46410i) q^{35} +(-2.73205 - 4.73205i) q^{36} +(0.464102 - 1.73205i) q^{37} +(4.73205 + 1.26795i) q^{38} +(1.90192 + 1.09808i) q^{39} +(-4.73205 - 4.19615i) q^{40} +6.46410i q^{41} +(-1.90192 - 0.366025i) q^{42} +(-0.633975 + 0.633975i) q^{43} +(-2.73205 + 4.73205i) q^{44} +(3.36603 + 5.09808i) q^{45} +(7.09808 - 4.09808i) q^{46} +(2.36603 - 8.83013i) q^{47} +(2.00000 - 0.535898i) q^{48} +(5.50000 - 4.33013i) q^{49} +(5.56218 + 4.36603i) q^{50} +(1.90192 - 1.09808i) q^{51} +(6.00000 - 6.00000i) q^{52} +(-3.00000 - 11.1962i) 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} +(0.0717968 + 0.267949i) q^{62} +(4.73205 - 5.46410i) q^{63} -8.00000i q^{64} +(-6.29423 + 7.09808i) q^{65} +(1.00000 + 1.73205i) q^{66} +(-7.96410 + 2.13397i) q^{67} +(-2.19615 - 8.19615i) q^{68} -3.00000i q^{69} +(3.19615 - 7.73205i) q^{70} +8.53590 q^{71} +(-2.00000 + 7.46410i) q^{72} +(-2.90192 - 10.8301i) q^{73} +(-2.19615 + 1.26795i) q^{74} +(2.40192 - 0.964102i) q^{75} +(-3.46410 - 6.00000i) q^{76} +(-7.09808 - 1.36603i) q^{77} +(-0.803848 - 3.00000i) q^{78} +(-0.803848 + 0.464102i) q^{79} +(0.535898 + 8.92820i) 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} +(1.23205 - 0.330127i) q^{87} +(7.46410 - 2.00000i) q^{88} +(-3.40192 - 5.89230i) q^{89} +(1.73205 - 8.46410i) q^{90} +(10.0981 + 4.90192i) q^{91} +(-11.1962 - 3.00000i) q^{92} +(0.0980762 + 0.0262794i) q^{93} +(-11.1962 + 6.46410i) q^{94} +(4.26795 + 6.46410i) q^{95} +(-2.53590 - 1.46410i) q^{96} +(9.73205 + 9.73205i) q^{97} +(-9.83013 - 1.16987i) q^{98} -7.46410 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 \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).

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

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 + 0.133975i −0.288675 + 0.0773503i −0.400251 0.916406i \(-0.631077\pi\)
0.111576 + 0.993756i \(0.464410\pi\)
\(4\) 2.00000i 1.00000i
\(5\) −0.133975 2.23205i −0.0599153 0.998203i
\(6\) 0.633975 + 0.366025i 0.258819 + 0.149429i
\(7\) −2.50000 + 0.866025i −0.944911 + 0.327327i
\(8\) 2.00000 2.00000i 0.707107 0.707107i
\(9\) −2.36603 + 1.36603i −0.788675 + 0.455342i
\(10\) −2.09808 + 2.36603i −0.663470 + 0.748203i
\(11\) 2.36603 + 1.36603i 0.713384 + 0.411872i 0.812313 0.583222i \(-0.198208\pi\)
−0.0989291 + 0.995094i \(0.531542\pi\)
\(12\) −0.267949 1.00000i −0.0773503 0.288675i
\(13\) −3.00000 3.00000i −0.832050 0.832050i 0.155747 0.987797i \(-0.450222\pi\)
−0.987797 + 0.155747i \(0.950222\pi\)
\(14\) 3.36603 + 1.63397i 0.899608 + 0.436698i
\(15\) 0.366025 + 1.09808i 0.0945074 + 0.283522i
\(16\) −4.00000 −1.00000
\(17\) −4.09808 + 1.09808i −0.993929 + 0.266323i −0.718900 0.695113i \(-0.755354\pi\)
−0.275029 + 0.961436i \(0.588688\pi\)
\(18\) 3.73205 + 1.00000i 0.879653 + 0.235702i
\(19\) −3.00000 + 1.73205i −0.688247 + 0.397360i −0.802955 0.596040i \(-0.796740\pi\)
0.114708 + 0.993399i \(0.463407\pi\)
\(20\) 4.46410 0.267949i 0.998203 0.0599153i
\(21\) 1.13397 0.767949i 0.247454 0.167580i
\(22\) −1.00000 3.73205i −0.213201 0.795676i
\(23\) −1.50000 + 5.59808i −0.312772 + 1.16728i 0.613275 + 0.789870i \(0.289852\pi\)
−0.926046 + 0.377410i \(0.876815\pi\)
\(24\) −0.732051 + 1.26795i −0.149429 + 0.258819i
\(25\) −4.96410 + 0.598076i −0.992820 + 0.119615i
\(26\) 6.00000i 1.17670i
\(27\) 2.09808 2.09808i 0.403775 0.403775i
\(28\) −1.73205 5.00000i −0.327327 0.944911i
\(29\) −2.46410 −0.457572 −0.228786 0.973477i \(-0.573476\pi\)
−0.228786 + 0.973477i \(0.573476\pi\)
\(30\) 0.732051 1.46410i 0.133654 0.267307i
\(31\) −0.169873 0.0980762i −0.0305101 0.0176150i 0.484667 0.874699i \(-0.338941\pi\)
−0.515177 + 0.857084i \(0.672274\pi\)
\(32\) 4.00000 + 4.00000i 0.707107 + 0.707107i
\(33\) −1.36603 0.366025i −0.237795 0.0637168i
\(34\) 5.19615 + 3.00000i 0.891133 + 0.514496i
\(35\) 2.26795 + 5.46410i 0.383353 + 0.923602i
\(36\) −2.73205 4.73205i −0.455342 0.788675i
\(37\) 0.464102 1.73205i 0.0762978 0.284747i −0.917227 0.398366i \(-0.869577\pi\)
0.993524 + 0.113618i \(0.0362441\pi\)
\(38\) 4.73205 + 1.26795i 0.767640 + 0.205689i
\(39\) 1.90192 + 1.09808i 0.304552 + 0.175833i
\(40\) −4.73205 4.19615i −0.748203 0.663470i
\(41\) 6.46410i 1.00952i 0.863259 + 0.504762i \(0.168420\pi\)
−0.863259 + 0.504762i \(0.831580\pi\)
\(42\) −1.90192 0.366025i −0.293473 0.0564789i
\(43\) −0.633975 + 0.633975i −0.0966802 + 0.0966802i −0.753793 0.657112i \(-0.771778\pi\)
0.657112 + 0.753793i \(0.271778\pi\)
\(44\) −2.73205 + 4.73205i −0.411872 + 0.713384i
\(45\) 3.36603 + 5.09808i 0.501777 + 0.759976i
\(46\) 7.09808 4.09808i 1.04655 0.604228i
\(47\) 2.36603 8.83013i 0.345120 1.28801i −0.547351 0.836903i \(-0.684364\pi\)
0.892472 0.451103i \(-0.148969\pi\)
\(48\) 2.00000 0.535898i 0.288675 0.0773503i
\(49\) 5.50000 4.33013i 0.785714 0.618590i
\(50\) 5.56218 + 4.36603i 0.786611 + 0.617449i
\(51\) 1.90192 1.09808i 0.266323 0.153761i
\(52\) 6.00000 6.00000i 0.832050 0.832050i
\(53\) −3.00000 11.1962i −0.412082 1.53791i −0.790610 0.612320i \(-0.790236\pi\)
0.378528 0.925590i \(-0.376430\pi\)
\(54\) −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 \(-0.437285\pi\)
−0.751394 + 0.659854i \(0.770618\pi\)
\(60\) −2.19615 + 0.732051i −0.283522 + 0.0945074i
\(61\) −1.96410 3.40192i −0.251477 0.435572i 0.712455 0.701717i \(-0.247583\pi\)
−0.963933 + 0.266146i \(0.914250\pi\)
\(62\) 0.0717968 + 0.267949i 0.00911820 + 0.0340296i
\(63\) 4.73205 5.46410i 0.596182 0.688412i
\(64\) 8.00000i 1.00000i
\(65\) −6.29423 + 7.09808i −0.780703 + 0.880408i
\(66\) 1.00000 + 1.73205i 0.123091 + 0.213201i
\(67\) −7.96410 + 2.13397i −0.972970 + 0.260706i −0.710081 0.704120i \(-0.751342\pi\)
−0.262889 + 0.964826i \(0.584675\pi\)
\(68\) −2.19615 8.19615i −0.266323 0.993929i
\(69\) 3.00000i 0.361158i
\(70\) 3.19615 7.73205i 0.382013 0.924157i
\(71\) 8.53590 1.01302 0.506512 0.862233i \(-0.330934\pi\)
0.506512 + 0.862233i \(0.330934\pi\)
\(72\) −2.00000 + 7.46410i −0.235702 + 0.879653i
\(73\) −2.90192 10.8301i −0.339644 1.26757i −0.898745 0.438471i \(-0.855520\pi\)
0.559101 0.829100i \(-0.311146\pi\)
\(74\) −2.19615 + 1.26795i −0.255298 + 0.147396i
\(75\) 2.40192 0.964102i 0.277350 0.111325i
\(76\) −3.46410 6.00000i −0.397360 0.688247i
\(77\) −7.09808 1.36603i −0.808901 0.155673i
\(78\) −0.803848 3.00000i −0.0910178 0.339683i
\(79\) −0.803848 + 0.464102i −0.0904399 + 0.0522155i −0.544538 0.838736i \(-0.683295\pi\)
0.454098 + 0.890952i \(0.349962\pi\)
\(80\) 0.535898 + 8.92820i 0.0599153 + 0.998203i
\(81\) 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
\(87\) 1.23205 0.330127i 0.132090 0.0353933i
\(88\) 7.46410 2.00000i 0.795676 0.213201i
\(89\) −3.40192 5.89230i −0.360603 0.624583i 0.627457 0.778651i \(-0.284096\pi\)
−0.988060 + 0.154068i \(0.950762\pi\)
\(90\) 1.73205 8.46410i 0.182574 0.892195i
\(91\) 10.0981 + 4.90192i 1.05857 + 0.513861i
\(92\) −11.1962 3.00000i −1.16728 0.312772i
\(93\) 0.0980762 + 0.0262794i 0.0101700 + 0.00272505i
\(94\) −11.1962 + 6.46410i −1.15479 + 0.666721i
\(95\) 4.26795 + 6.46410i 0.437882 + 0.663203i
\(96\) −2.53590 1.46410i −0.258819 0.149429i
\(97\) 9.73205 + 9.73205i 0.988140 + 0.988140i 0.999930 0.0117904i \(-0.00375310\pi\)
−0.0117904 + 0.999930i \(0.503753\pi\)
\(98\) −9.83013 1.16987i −0.992993 0.118175i
\(99\) −7.46410 −0.750170
\(100\) −1.19615 9.92820i −0.119615 0.992820i
\(101\) 7.06218 12.2321i 0.702713 1.21713i −0.264798 0.964304i \(-0.585305\pi\)
0.967511 0.252831i \(-0.0813615\pi\)
\(102\) −3.00000 0.803848i −0.297044 0.0795928i
\(103\) −5.33013 1.42820i −0.525193 0.140725i −0.0135254 0.999909i \(-0.504305\pi\)
−0.511668 + 0.859183i \(0.670972\pi\)
\(104\) −12.0000 −1.17670
\(105\) −1.86603 2.42820i −0.182105 0.236968i
\(106\) −8.19615 + 14.1962i −0.796081 + 1.37885i
\(107\) −3.33013 + 12.4282i −0.321936 + 1.20148i 0.595421 + 0.803414i \(0.296985\pi\)
−0.917357 + 0.398066i \(0.869681\pi\)
\(108\) 4.19615 + 4.19615i 0.403775 + 0.403775i
\(109\) −3.86603 + 6.69615i −0.370298 + 0.641375i −0.989611 0.143769i \(-0.954078\pi\)
0.619313 + 0.785144i \(0.287411\pi\)
\(110\) −8.19615 + 2.73205i −0.781472 + 0.260491i
\(111\) 0.928203i 0.0881012i
\(112\) 10.0000 3.46410i 0.944911 0.327327i
\(113\) 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
\(115\) 12.6962 + 2.59808i 1.18392 + 0.242272i
\(116\) 4.92820i 0.457572i
\(117\) 11.1962 + 3.00000i 1.03508 + 0.277350i
\(118\) 1.80385 + 6.73205i 0.166058 + 0.619736i
\(119\) 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
\(122\) −1.43782 + 5.36603i −0.130174 + 0.485817i
\(123\) −0.866025 3.23205i −0.0780869 0.291424i
\(124\) 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
\(130\) 13.3923 0.803848i 1.17458 0.0705021i
\(131\) 0.267949 + 0.464102i 0.0234108 + 0.0405487i 0.877493 0.479589i \(-0.159214\pi\)
−0.854083 + 0.520137i \(0.825881\pi\)
\(132\) 0.732051 2.73205i 0.0637168 0.237795i
\(133\) 6.00000 6.92820i 0.520266 0.600751i
\(134\) 10.0981 + 5.83013i 0.872341 + 0.503646i
\(135\) −4.96410 4.40192i −0.427242 0.378857i
\(136\) −6.00000 + 10.3923i −0.514496 + 0.891133i
\(137\) 2.19615 + 8.19615i 0.187630 + 0.700245i 0.994052 + 0.108904i \(0.0347343\pi\)
−0.806422 + 0.591340i \(0.798599\pi\)
\(138\) −3.00000 + 3.00000i −0.255377 + 0.255377i
\(139\) 4.73205i 0.401367i −0.979656 0.200684i \(-0.935684\pi\)
0.979656 0.200684i \(-0.0643163\pi\)
\(140\) −10.9282 + 4.53590i −0.923602 + 0.383353i
\(141\) 4.73205i 0.398511i
\(142\) −8.53590 8.53590i −0.716317 0.716317i
\(143\) −3.00000 11.1962i −0.250873 0.936269i
\(144\) 9.46410 5.46410i 0.788675 0.455342i
\(145\) 0.330127 + 5.50000i 0.0274156 + 0.456750i
\(146\) −7.92820 + 13.7321i −0.656143 + 1.13647i
\(147\) −2.16987 + 2.90192i −0.178968 + 0.239347i
\(148\) 3.46410 + 0.928203i 0.284747 + 0.0762978i
\(149\) −2.66987 4.62436i −0.218725 0.378842i 0.735694 0.677314i \(-0.236856\pi\)
−0.954418 + 0.298472i \(0.903523\pi\)
\(150\) −3.36603 1.43782i −0.274835 0.117398i
\(151\) −12.0981 + 20.9545i −0.984527 + 1.70525i −0.340510 + 0.940241i \(0.610600\pi\)
−0.644018 + 0.765011i \(0.722734\pi\)
\(152\) −2.53590 + 9.46410i −0.205689 + 0.767640i
\(153\) 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
\(157\) −2.02628 7.56218i −0.161715 0.603527i −0.998436 0.0558992i \(-0.982197\pi\)
0.836722 0.547628i \(-0.184469\pi\)
\(158\) 1.26795 + 0.339746i 0.100873 + 0.0270287i
\(159\) 3.00000 + 5.19615i 0.237915 + 0.412082i
\(160\) 8.39230 9.46410i 0.663470 0.748203i
\(161\) −1.09808 15.2942i −0.0865405 1.20535i
\(162\) −9.09808 + 2.43782i −0.714812 + 0.191533i
\(163\) −20.0263 5.36603i −1.56858 0.420300i −0.633212 0.773978i \(-0.718264\pi\)
−0.935367 + 0.353679i \(0.884931\pi\)
\(164\) −12.9282 −1.00952
\(165\) −0.633975 + 3.09808i −0.0493549 + 0.241185i
\(166\) 15.1244i 1.17388i
\(167\) −12.2942 12.2942i −0.951356 0.951356i 0.0475146 0.998871i \(-0.484870\pi\)
−0.998871 + 0.0475146i \(0.984870\pi\)
\(168\) 0.732051 3.80385i 0.0564789 0.293473i
\(169\) 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
\(173\) −6.46410 + 24.1244i −0.491457 + 1.83414i 0.0575778 + 0.998341i \(0.481662\pi\)
−0.549034 + 0.835800i \(0.685004\pi\)
\(174\) −1.56218 0.901924i −0.118428 0.0683747i
\(175\) 11.8923 5.79423i 0.898974 0.438003i
\(176\) −9.46410 5.46410i −0.713384 0.411872i
\(177\) 2.46410 + 0.660254i 0.185213 + 0.0496277i
\(178\) −2.49038 + 9.29423i −0.186662 + 0.696632i
\(179\) 12.0263 20.8301i 0.898886 1.55692i 0.0699665 0.997549i \(-0.477711\pi\)
0.828920 0.559367i \(-0.188956\pi\)
\(180\) −10.1962 + 6.73205i −0.759976 + 0.501777i
\(181\) −22.5167 −1.67365 −0.836825 0.547470i \(-0.815591\pi\)
−0.836825 + 0.547470i \(0.815591\pi\)
\(182\) −5.19615 15.0000i −0.385164 1.11187i
\(183\) 1.43782 + 1.43782i 0.106287 + 0.106287i
\(184\) 8.19615 + 14.1962i 0.604228 + 1.04655i
\(185\) −3.92820 0.803848i −0.288807 0.0591000i
\(186\) −0.0717968 0.124356i −0.00526439 0.00911820i
\(187\) −11.1962 3.00000i −0.818744 0.219382i
\(188\) 17.6603 + 4.73205i 1.28801 + 0.345120i
\(189\) −3.42820 + 7.06218i −0.249365 + 0.513698i
\(190\) 2.19615 10.7321i 0.159326 0.778585i
\(191\) 10.5622 + 18.2942i 0.764252 + 1.32372i 0.940641 + 0.339403i \(0.110225\pi\)
−0.176389 + 0.984321i \(0.556442\pi\)
\(192\) 1.07180 + 4.00000i 0.0773503 + 0.288675i
\(193\) −2.09808 + 0.562178i −0.151023 + 0.0404664i −0.333538 0.942737i \(-0.608243\pi\)
0.182516 + 0.983203i \(0.441576\pi\)
\(194\) 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 0.994334 0.106303i \(-0.0339014\pi\)
−0.106303 + 0.994334i \(0.533901\pi\)
\(198\) 7.46410 + 7.46410i 0.530451 + 0.530451i
\(199\) 1.73205 3.00000i 0.122782 0.212664i −0.798082 0.602549i \(-0.794152\pi\)
0.920864 + 0.389885i \(0.127485\pi\)
\(200\) −8.73205 + 11.1244i −0.617449 + 0.786611i
\(201\) 3.69615 2.13397i 0.260706 0.150519i
\(202\) −19.2942 + 5.16987i −1.35754 + 0.363751i
\(203\) 6.16025 2.13397i 0.432365 0.149776i
\(204\) 2.19615 + 3.80385i 0.153761 + 0.266323i
\(205\) 14.4282 0.866025i 1.00771 0.0604858i
\(206\) 3.90192 + 6.75833i 0.271860 + 0.470875i
\(207\) −4.09808 15.2942i −0.284836 1.06302i
\(208\) 12.0000 + 12.0000i 0.832050 + 0.832050i
\(209\) −9.46410 −0.654646
\(210\) −0.562178 + 4.29423i −0.0387940 + 0.296330i
\(211\) 27.4641i 1.89071i −0.326048 0.945353i \(-0.605717\pi\)
0.326048 0.945353i \(-0.394283\pi\)
\(212\) 22.3923 6.00000i 1.53791 0.412082i
\(213\) −4.26795 + 1.14359i −0.292435 + 0.0783577i
\(214\) 15.7583 9.09808i 1.07722 0.621932i
\(215\) 1.50000 + 1.33013i 0.102299 + 0.0907139i
\(216\) 8.39230i 0.571024i
\(217\) 0.509619 + 0.0980762i 0.0345952 + 0.00665785i
\(218\) 10.5622 2.83013i 0.715361 0.191680i
\(219\) 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 −0.877167 0.480185i \(-0.840569\pi\)
0.480185 + 0.877167i \(0.340569\pi\)
\(224\) −13.4641 6.53590i −0.899608 0.436698i
\(225\) 10.9282 8.19615i 0.728547 0.546410i
\(226\) 18.9282i 1.25909i
\(227\) 4.16987 + 15.5622i 0.276764 + 1.03290i 0.954650 + 0.297731i \(0.0962298\pi\)
−0.677886 + 0.735167i \(0.737104\pi\)
\(228\) 2.53590 + 2.53590i 0.167944 + 0.167944i
\(229\) 7.39230 4.26795i 0.488497 0.282034i −0.235454 0.971886i \(-0.575658\pi\)
0.723951 + 0.689852i \(0.242324\pi\)
\(230\) −10.0981 15.2942i −0.665847 1.00847i
\(231\) 3.73205 0.267949i 0.245551 0.0176298i
\(232\) −4.92820 + 4.92820i −0.323552 + 0.323552i
\(233\) 1.90192 7.09808i 0.124599 0.465010i −0.875226 0.483714i \(-0.839287\pi\)
0.999825 + 0.0187040i \(0.00595401\pi\)
\(234\) −8.19615 14.1962i −0.535799 0.928032i
\(235\) −20.0263 4.09808i −1.30637 0.267329i
\(236\) 4.92820 8.53590i 0.320799 0.555640i
\(237\) 0.339746 0.339746i 0.0220689 0.0220689i
\(238\) −15.5885 3.00000i −1.01045 0.194461i
\(239\) 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 0.489018 0.872274i \(-0.337355\pi\)
−0.510903 + 0.859639i \(0.670689\pi\)
\(242\) −1.29423 + 4.83013i −0.0831962 + 0.310492i
\(243\) −3.19615 + 11.9282i −0.205033 + 0.765195i
\(244\) 6.80385 3.92820i 0.435572 0.251477i
\(245\) −10.4019 11.6962i −0.664555 0.747240i
\(246\) −2.36603 + 4.09808i −0.150852 + 0.261284i
\(247\) 14.1962 + 3.80385i 0.903280 + 0.242033i
\(248\) −0.535898 + 0.143594i −0.0340296 + 0.00911820i
\(249\) −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 \(0.523526\pi\)
\(252\) 10.9282 + 9.46410i 0.688412 + 0.596182i
\(253\) −11.1962 + 11.1962i −0.703896 + 0.703896i
\(254\) 22.0000 1.38040
\(255\) −2.70577 4.09808i −0.169442 0.256631i
\(256\) 16.0000 1.00000
\(257\) −1.85641 + 6.92820i −0.115799 + 0.432169i −0.999345 0.0361749i \(-0.988483\pi\)
0.883546 + 0.468344i \(0.155149\pi\)
\(258\) −0.633975 + 0.169873i −0.0394695 + 0.0105758i
\(259\) 0.339746 + 4.73205i 0.0211108 + 0.294035i
\(260\) −14.1962 12.5885i −0.880408 0.780703i
\(261\) 5.83013 3.36603i 0.360876 0.208352i
\(262\) 0.196152 0.732051i 0.0121183 0.0452262i
\(263\) −20.8923 + 5.59808i −1.28827 + 0.345192i −0.837005 0.547195i \(-0.815695\pi\)
−0.451270 + 0.892388i \(0.649029\pi\)
\(264\) −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
\(268\) −4.26795 15.9282i −0.260706 0.972970i
\(269\) −9.06218 5.23205i −0.552531 0.319004i 0.197611 0.980280i \(-0.436682\pi\)
−0.750142 + 0.661277i \(0.770015\pi\)
\(270\) 0.562178 + 9.36603i 0.0342131 + 0.569998i
\(271\) −10.3923 + 6.00000i −0.631288 + 0.364474i −0.781251 0.624218i \(-0.785418\pi\)
0.149963 + 0.988692i \(0.452085\pi\)
\(272\) 16.3923 4.39230i 0.993929 0.266323i
\(273\) −5.70577 1.09808i −0.345329 0.0664586i
\(274\) 6.00000 10.3923i 0.362473 0.627822i
\(275\) −12.5622 5.36603i −0.757528 0.323584i
\(276\) 6.00000 0.361158
\(277\) 14.0263 3.75833i 0.842757 0.225816i 0.188486 0.982076i \(-0.439642\pi\)
0.654272 + 0.756260i \(0.272975\pi\)
\(278\) −4.73205 + 4.73205i −0.283810 + 0.283810i
\(279\) 0.535898 0.0320834
\(280\) 15.4641 + 6.39230i 0.924157 + 0.382013i
\(281\) 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
\(283\) −5.36603 + 1.43782i −0.318977 + 0.0854697i −0.414755 0.909933i \(-0.636133\pi\)
0.0957780 + 0.995403i \(0.469466\pi\)
\(284\) 17.0718i 1.01302i
\(285\) −3.00000 2.66025i −0.177705 0.157580i
\(286\) −8.19615 + 14.1962i −0.484649 + 0.839436i
\(287\) −5.59808 16.1603i −0.330444 0.953910i
\(288\) −14.9282 4.00000i −0.879653 0.235702i
\(289\) 0.866025 0.500000i 0.0509427 0.0294118i
\(290\) 5.16987 5.83013i 0.303585 0.342357i
\(291\) −6.16987 3.56218i −0.361684 0.208819i
\(292\) 21.6603 5.80385i 1.26757 0.339644i
\(293\) −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
\(297\) 7.83013 2.09808i 0.454350 0.121743i
\(298\) −1.95448 + 7.29423i −0.113220 + 0.422543i
\(299\) 21.2942 12.2942i 1.23148 0.710994i
\(300\) 1.92820 + 4.80385i 0.111325 + 0.277350i
\(301\) 1.03590 2.13397i 0.0597082 0.123000i
\(302\) 33.0526 8.85641i 1.90196 0.509629i
\(303\) −1.89230 + 7.06218i −0.108710 + 0.405712i
\(304\) 12.0000 6.92820i 0.688247 0.397360i
\(305\) −7.33013 + 4.83975i −0.419722 + 0.277123i
\(306\) −16.3923 −0.937086
\(307\) 21.7583 21.7583i 1.24181 1.24181i 0.282565 0.959248i \(-0.408815\pi\)
0.959248 0.282565i \(-0.0911854\pi\)
\(308\) 2.73205 14.1962i 0.155673 0.808901i
\(309\) 2.85641 0.162495
\(310\) 0.588457 0.196152i 0.0334221 0.0111407i
\(311\) −9.58846 5.53590i −0.543712 0.313912i 0.202870 0.979206i \(-0.434973\pi\)
−0.746582 + 0.665294i \(0.768306\pi\)
\(312\) 6.00000 1.60770i 0.339683 0.0910178i
\(313\) 30.3205 + 8.12436i 1.71382 + 0.459216i 0.976355 0.216173i \(-0.0693577\pi\)
0.737461 + 0.675389i \(0.236024\pi\)
\(314\) −5.53590 + 9.58846i −0.312409 + 0.541108i
\(315\) −12.8301 9.83013i −0.722896 0.553865i
\(316\) −0.928203 1.60770i −0.0522155 0.0904399i
\(317\) 2.63397 9.83013i 0.147939 0.552115i −0.851668 0.524081i \(-0.824409\pi\)
0.999607 0.0280336i \(-0.00892455\pi\)
\(318\) 2.19615 8.19615i 0.123154 0.459617i
\(319\) −5.83013 3.36603i −0.326424 0.188461i
\(320\) −17.8564 + 1.07180i −0.998203 + 0.0599153i
\(321\) 6.66025i 0.371739i
\(322\) −14.1962 + 16.3923i −0.791121 + 0.913507i
\(323\) 10.3923 10.3923i 0.578243 0.578243i
\(324\) 11.5359 + 6.66025i 0.640883 + 0.370014i
\(325\) 16.6865 + 13.0981i 0.925602 + 0.726551i
\(326\) 14.6603 + 25.3923i 0.811956 + 1.40635i
\(327\) 1.03590 3.86603i 0.0572853 0.213792i
\(328\) 12.9282 + 12.9282i 0.713841 + 0.713841i
\(329\) 1.73205 + 24.1244i 0.0954911 + 1.33002i
\(330\) 3.73205 2.46410i 0.205443 0.135644i
\(331\) −9.29423 + 5.36603i −0.510857 + 0.294943i −0.733186 0.680028i \(-0.761967\pi\)
0.222329 + 0.974972i \(0.428634\pi\)
\(332\) −15.1244 + 15.1244i −0.830057 + 0.830057i
\(333\) 1.26795 + 4.73205i 0.0694832 + 0.259315i
\(334\) 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
\(342\) −12.9282 + 3.46410i −0.699077 + 0.187317i
\(343\) −10.0000 + 15.5885i −0.539949 + 0.841698i
\(344\) 2.53590i 0.136726i
\(345\) −6.69615 + 0.401924i −0.360509 + 0.0216388i
\(346\) 30.5885 17.6603i 1.64445 0.949421i
\(347\) −18.3564 + 4.91858i −0.985424 + 0.264043i −0.715327 0.698790i \(-0.753722\pi\)
−0.270096 + 0.962833i \(0.587056\pi\)
\(348\) 0.660254 + 2.46410i 0.0353933 + 0.132090i
\(349\) 31.9808i 1.71189i 0.517066 + 0.855945i \(0.327024\pi\)
−0.517066 + 0.855945i \(0.672976\pi\)
\(350\) −17.6865 6.09808i −0.945385 0.325956i
\(351\) −12.5885 −0.671922
\(352\) 4.00000 + 14.9282i 0.213201 + 0.795676i
\(353\) −4.60770 17.1962i −0.245243 0.915259i −0.973261 0.229701i \(-0.926225\pi\)
0.728018 0.685558i \(-0.240442\pi\)
\(354\) −1.80385 3.12436i −0.0958734 0.166058i
\(355\) −1.14359 19.0526i −0.0606956 1.01120i
\(356\) 11.7846 6.80385i 0.624583 0.360603i
\(357\) −3.80385 + 4.39230i −0.201321 + 0.232465i
\(358\) −32.8564 + 8.80385i −1.73652 + 0.465298i
\(359\) −1.09808 + 0.633975i −0.0579542 + 0.0334599i −0.528697 0.848811i \(-0.677319\pi\)
0.470743 + 0.882270i \(0.343986\pi\)
\(360\) 16.9282 + 3.46410i 0.892195 + 0.182574i
\(361\) −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
\(367\) −15.1603 + 4.06218i −0.791359 + 0.212044i −0.631787 0.775142i \(-0.717678\pi\)
−0.159572 + 0.987186i \(0.551011\pi\)
\(368\) 6.00000 22.3923i 0.312772 1.16728i
\(369\) −8.83013 15.2942i −0.459678 0.796186i
\(370\) 3.12436 + 4.73205i 0.162428 + 0.246008i
\(371\) 17.1962 + 25.3923i 0.892780 + 1.31830i
\(372\) −0.0525589 + 0.196152i −0.00272505 + 0.0101700i
\(373\) −9.46410 2.53590i −0.490033 0.131304i 0.00533769 0.999986i \(-0.498301\pi\)
−0.495370 + 0.868682i \(0.664968\pi\)
\(374\) 8.19615 + 14.1962i 0.423813 + 0.734066i
\(375\) −2.47372 5.23205i −0.127742 0.270182i
\(376\) −12.9282 22.3923i −0.666721 1.15479i
\(377\) 7.39230 + 7.39230i 0.380723 + 0.380723i
\(378\) 10.4904 3.63397i 0.539567 0.186911i
\(379\) −18.2487 −0.937373 −0.468687 0.883364i \(-0.655273\pi\)
−0.468687 + 0.883364i \(0.655273\pi\)
\(380\) −12.9282 + 8.53590i −0.663203 + 0.437882i
\(381\) 4.02628 6.97372i 0.206273 0.357275i
\(382\) 7.73205 28.8564i 0.395606 1.47642i
\(383\) 4.96410 + 1.33013i 0.253654 + 0.0679663i 0.383405 0.923580i \(-0.374751\pi\)
−0.129751 + 0.991547i \(0.541418\pi\)
\(384\) 2.92820 5.07180i 0.149429 0.258819i
\(385\) −2.09808 + 16.0263i −0.106928 + 0.816775i
\(386\) 2.66025 + 1.53590i 0.135403 + 0.0781752i
\(387\) 0.633975 2.36603i 0.0322267 0.120272i
\(388\) −19.4641 + 19.4641i −0.988140 + 0.988140i
\(389\) 14.4641 25.0526i 0.733359 1.27022i −0.222080 0.975028i \(-0.571285\pi\)
0.955440 0.295187i \(-0.0953819\pi\)
\(390\) −6.58846 + 2.19615i −0.333620 + 0.111207i
\(391\) 24.5885i 1.24349i
\(392\) 2.33975 19.6603i 0.118175 0.992993i
\(393\) −0.196152 0.196152i −0.00989458 0.00989458i
\(394\) 24.9282i 1.25586i
\(395\) 1.14359 + 1.73205i 0.0575404 + 0.0871489i
\(396\) 14.9282i 0.750170i
\(397\) −2.83013 0.758330i −0.142040 0.0380595i 0.187099 0.982341i \(-0.440092\pi\)
−0.329139 + 0.944282i \(0.606758\pi\)
\(398\) −4.73205 + 1.26795i −0.237196 + 0.0635566i
\(399\) −2.07180 + 4.26795i −0.103720 + 0.213665i
\(400\) 19.8564 2.39230i 0.992820 0.119615i
\(401\) −12.3564 21.4019i −0.617049 1.06876i −0.990021 0.140918i \(-0.954994\pi\)
0.372972 0.927843i \(-0.378339\pi\)
\(402\) −5.83013 1.56218i −0.290780 0.0779143i
\(403\) 0.215390 + 0.803848i 0.0107294 + 0.0400425i
\(404\) 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
\(408\) 1.60770 6.00000i 0.0795928 0.297044i
\(409\) −4.69615 + 8.13397i −0.232210 + 0.402199i −0.958458 0.285233i \(-0.907929\pi\)
0.726248 + 0.687432i \(0.241262\pi\)
\(410\) −15.2942 13.5622i −0.755328 0.669788i
\(411\) −2.19615 3.80385i −0.108328 0.187630i
\(412\) 2.85641 10.6603i 0.140725 0.525193i
\(413\) 12.8038 + 2.46410i 0.630036 + 0.121251i
\(414\) −11.1962 + 19.3923i −0.550261 + 0.953080i
\(415\) 15.8660 17.8923i 0.778833 0.878299i
\(416\) 24.0000i 1.17670i
\(417\) 0.633975 + 2.36603i 0.0310459 + 0.115865i
\(418\) 9.46410 + 9.46410i 0.462904 + 0.462904i
\(419\) 18.3923i 0.898523i 0.893400 + 0.449261i \(0.148313\pi\)
−0.893400 + 0.449261i \(0.851687\pi\)
\(420\) 4.85641 3.73205i 0.236968 0.182105i
\(421\) 5.87564i 0.286361i 0.989697 + 0.143181i \(0.0457330\pi\)
−0.989697 + 0.143181i \(0.954267\pi\)
\(422\) −27.4641 + 27.4641i −1.33693 + 1.33693i
\(423\) 6.46410 + 24.1244i 0.314295 + 1.17297i
\(424\) −28.3923 16.3923i −1.37885 0.796081i
\(425\) 19.6865 7.90192i 0.954937 0.383300i
\(426\) 5.41154 + 3.12436i 0.262190 + 0.151376i
\(427\) 7.85641 + 6.80385i 0.380198 + 0.329261i
\(428\) −24.8564 6.66025i −1.20148 0.321936i
\(429\) 3.00000 + 5.19615i 0.144841 + 0.250873i
\(430\) −0.169873 2.83013i −0.00819200 0.136481i
\(431\) 8.36603 14.4904i 0.402977 0.697977i −0.591106 0.806594i \(-0.701309\pi\)
0.994084 + 0.108616i \(0.0346420\pi\)
\(432\) −8.39230 + 8.39230i −0.403775 + 0.403775i
\(433\) −4.53590 + 4.53590i −0.217981 + 0.217981i −0.807647 0.589666i \(-0.799259\pi\)
0.589666 + 0.807647i \(0.299259\pi\)
\(434\) −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
\(437\) −5.19615 19.3923i −0.248566 0.927660i
\(438\) 2.12436 7.92820i 0.101506 0.378824i
\(439\) 14.6603 + 25.3923i 0.699696 + 1.21191i 0.968572 + 0.248734i \(0.0800144\pi\)
−0.268876 + 0.963175i \(0.586652\pi\)
\(440\) −5.46410 16.3923i −0.260491 0.781472i
\(441\) −7.09808 + 17.7583i −0.338004 + 0.845635i
\(442\) −6.58846 24.5885i −0.313381 1.16955i
\(443\) 21.0622 + 5.64359i 1.00069 + 0.268135i 0.721736 0.692168i \(-0.243344\pi\)
0.278958 + 0.960303i \(0.410011\pi\)
\(444\) −1.85641 −0.0881012
\(445\) −12.6962 + 8.38269i −0.601855 + 0.397377i
\(446\) 11.8564 0.561417
\(447\) 1.95448 + 1.95448i 0.0924439 + 0.0924439i
\(448\) 6.92820 + 20.0000i 0.327327 + 0.944911i
\(449\) 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
\(453\) 3.24167 12.0981i 0.152307 0.568417i
\(454\) 11.3923 19.7321i 0.534667 0.926071i
\(455\) 9.58846 23.1962i 0.449514 1.08745i
\(456\) 5.07180i 0.237509i
\(457\) −0.267949 0.0717968i −0.0125341 0.00335851i 0.252547 0.967585i \(-0.418732\pi\)
−0.265081 + 0.964226i \(0.585399\pi\)
\(458\) −11.6603 3.12436i −0.544848 0.145992i
\(459\) −6.29423 + 10.9019i −0.293789 + 0.508858i
\(460\) −5.19615 + 25.3923i −0.242272 + 1.18392i
\(461\) −39.8564 −1.85630 −0.928149 0.372209i \(-0.878600\pi\)
−0.928149 + 0.372209i \(0.878600\pi\)
\(462\) −4.00000 3.46410i −0.186097 0.161165i
\(463\) −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
\(465\) 0.0455173 0.222432i 0.00211082 0.0103150i
\(466\) −9.00000 + 5.19615i −0.416917 + 0.240707i
\(467\) −10.3301 2.76795i −0.478021 0.128085i 0.0117598 0.999931i \(-0.496257\pi\)
−0.489781 + 0.871845i \(0.662923\pi\)
\(468\) −6.00000 + 22.3923i −0.277350 + 1.03508i
\(469\) 18.0622 12.2321i 0.834034 0.564824i
\(470\) 15.9282 + 24.1244i 0.734713 + 1.11277i
\(471\) 2.02628 + 3.50962i 0.0933660 + 0.161715i
\(472\) −13.4641 + 3.60770i −0.619736 + 0.166058i
\(473\) −2.36603 + 0.633975i −0.108790 + 0.0291502i
\(474\) −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 \(-0.728198\pi\)
0.981374 + 0.192105i \(0.0615314\pi\)
\(480\) −2.92820 + 5.85641i −0.133654 + 0.267307i
\(481\) −6.58846 + 3.80385i −0.300408 + 0.173441i
\(482\) 0.143594 + 0.535898i 0.00654051 + 0.0244095i
\(483\) 2.59808 + 7.50000i 0.118217 + 0.341262i
\(484\) 6.12436 3.53590i 0.278380 0.160723i
\(485\) 20.4186 23.0263i 0.927160 1.04557i
\(486\) 15.1244 8.73205i 0.686055 0.396094i
\(487\) 0.0262794 + 0.0980762i 0.00119084 + 0.00444426i 0.966519 0.256596i \(-0.0826011\pi\)
−0.965328 + 0.261040i \(0.915934\pi\)
\(488\) −10.7321 2.87564i −0.485817 0.130174i
\(489\) 10.7321 0.485320
\(490\) −1.29423 + 22.0981i −0.0584673 + 0.998289i
\(491\) 1.80385i 0.0814065i 0.999171 + 0.0407033i \(0.0129598\pi\)
−0.999171 + 0.0407033i \(0.987040\pi\)
\(492\) 6.46410 1.73205i 0.291424 0.0780869i
\(493\) 10.0981 2.70577i 0.454794 0.121862i
\(494\) −10.3923 18.0000i −0.467572 0.809858i
\(495\) 1.00000 + 16.6603i 0.0449467 + 0.748823i
\(496\) 0.679492 + 0.392305i 0.0305101 + 0.0176150i
\(497\) −21.3397 + 7.39230i −0.957218 + 0.331590i
\(498\) 2.02628 + 7.56218i 0.0907998 + 0.338869i
\(499\) 15.7583 + 27.2942i 0.705440 + 1.22186i 0.966533 + 0.256544i \(0.0825838\pi\)
−0.261093 + 0.965314i \(0.584083\pi\)
\(500\) −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 −0.332759 0.943012i \(-0.607980\pi\)
0.943012 + 0.332759i \(0.107980\pi\)
\(504\) −1.46410 20.3923i −0.0652163 0.908345i
\(505\) −28.2487 14.1244i −1.25705 0.628526i
\(506\) 22.3923 0.995459
\(507\) −0.669873 2.50000i −0.0297501 0.111029i
\(508\) −22.0000 22.0000i −0.976092 0.976092i
\(509\) −23.4282 + 13.5263i −1.03844 + 0.599542i −0.919390 0.393347i \(-0.871317\pi\)
−0.119047 + 0.992889i \(0.537984\pi\)
\(510\) −1.39230 + 6.80385i −0.0616523 + 0.301279i
\(511\) 16.6340 + 24.5622i 0.735844 + 1.08657i
\(512\) −16.0000 16.0000i −0.707107 0.707107i
\(513\) −2.66025 + 9.92820i −0.117453 + 0.438341i
\(514\) 8.78461 5.07180i 0.387473 0.223707i
\(515\) −2.47372 + 12.0885i −0.109005 + 0.532681i
\(516\) 0.803848 + 0.464102i 0.0353874 + 0.0204309i
\(517\) 17.6603 17.6603i 0.776697 0.776697i
\(518\) 4.39230 5.07180i 0.192987 0.222842i
\(519\) 12.9282i 0.567485i
\(520\) 1.60770 + 26.7846i 0.0705021 + 1.17458i
\(521\) −13.3923 7.73205i −0.586728 0.338747i 0.177075 0.984197i \(-0.443337\pi\)
−0.763802 + 0.645450i \(0.776670\pi\)
\(522\) −9.19615 2.46410i −0.402505 0.107851i
\(523\) −8.70577 + 32.4904i −0.380677 + 1.42071i 0.464193 + 0.885734i \(0.346344\pi\)
−0.844870 + 0.534971i \(0.820322\pi\)
\(524\) −0.928203 + 0.535898i −0.0405487 + 0.0234108i
\(525\) −5.16987 + 4.49038i −0.225632 + 0.195976i
\(526\) 26.4904 + 15.2942i 1.15504 + 0.666860i
\(527\) 0.803848 + 0.215390i 0.0350162 + 0.00938255i
\(528\) 5.46410 + 1.46410i 0.237795 + 0.0637168i
\(529\) −9.16987 5.29423i −0.398690 0.230184i
\(530\) 32.7846 + 16.3923i 1.42407 + 0.712036i
\(531\) 13.4641 0.584292
\(532\) 13.8564 + 12.0000i 0.600751 + 0.520266i
\(533\) 19.3923 19.3923i 0.839974 0.839974i
\(534\) 4.98076i 0.215539i
\(535\) 28.1865 + 5.76795i 1.21861 + 0.249370i
\(536\) −11.6603 + 20.1962i −0.503646 + 0.872341i
\(537\) −3.22243 + 12.0263i −0.139058 + 0.518972i
\(538\) 3.83013 + 14.2942i 0.165129 + 0.616268i
\(539\) 18.9282 2.73205i 0.815295 0.117678i
\(540\) 8.80385 9.92820i 0.378857 0.427242i
\(541\) −13.7942 + 7.96410i −0.593060 + 0.342403i −0.766307 0.642475i \(-0.777908\pi\)
0.173246 + 0.984879i \(0.444574\pi\)
\(542\) 16.3923 + 4.39230i 0.704110 + 0.188666i
\(543\) 11.2583 3.01666i 0.483141 0.129457i
\(544\) −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 0.417420 0.908714i \(-0.362934\pi\)
−0.908714 + 0.417420i \(0.862934\pi\)
\(548\) −16.3923 + 4.39230i −0.700245 + 0.187630i
\(549\) 9.29423 + 5.36603i 0.396668 + 0.229016i
\(550\) 7.19615 + 17.9282i 0.306845 + 0.764461i
\(551\) 7.39230 4.26795i 0.314923 0.181821i
\(552\) −6.00000 6.00000i −0.255377 0.255377i
\(553\) 1.60770 1.85641i 0.0683662 0.0789424i
\(554\) −17.7846 10.2679i −0.755596 0.436243i
\(555\) 2.07180 0.124356i 0.0879429 0.00527860i
\(556\) 9.46410 0.401367
\(557\) −30.7583 + 8.24167i −1.30327 + 0.349211i −0.842687 0.538404i \(-0.819027\pi\)
−0.460586 + 0.887615i \(0.652361\pi\)
\(558\) −0.535898 0.535898i −0.0226864 0.0226864i
\(559\) 3.80385 0.160886
\(560\) −9.07180 21.8564i −0.383353 0.923602i
\(561\) 6.00000 0.253320
\(562\) −24.2487 24.2487i −1.02287 1.02287i
\(563\) −5.06218 + 1.35641i −0.213345 + 0.0571657i −0.363909 0.931435i \(-0.618558\pi\)
0.150563 + 0.988600i \(0.451891\pi\)
\(564\) −9.46410 −0.398511
\(565\) 19.8564 22.3923i 0.835365 0.942051i
\(566\) 6.80385 + 3.92820i 0.285987 + 0.165115i
\(567\) −3.33013 + 17.3038i −0.139852 + 0.726693i
\(568\) 17.0718 17.0718i 0.716317 0.716317i
\(569\) 29.1962 16.8564i 1.22397 0.706657i 0.258205 0.966090i \(-0.416869\pi\)
0.965761 + 0.259433i \(0.0835356\pi\)
\(570\) 0.339746 + 5.66025i 0.0142304 + 0.237082i
\(571\) 26.7846 + 15.4641i 1.12090 + 0.647153i 0.941631 0.336647i \(-0.109293\pi\)
0.179270 + 0.983800i \(0.442626\pi\)
\(572\) 22.3923 6.00000i 0.936269 0.250873i
\(573\) −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
\(577\) 35.4186 9.49038i 1.47449 0.395090i 0.570025 0.821627i \(-0.306933\pi\)
0.904470 + 0.426538i \(0.140267\pi\)
\(578\) −1.36603 0.366025i −0.0568192 0.0152246i
\(579\) 0.973721 0.562178i 0.0404664 0.0233633i
\(580\) −11.0000 + 0.660254i −0.456750 + 0.0274156i
\(581\) −25.4545 12.3564i −1.05603 0.512630i
\(582\) 2.60770 + 9.73205i 0.108092 + 0.403406i
\(583\) 8.19615 30.5885i 0.339450 1.26684i
\(584\) −27.4641 15.8564i −1.13647 0.656143i
\(585\) 5.19615 25.3923i 0.214834 1.04984i
\(586\) 12.3923i 0.511921i
\(587\) 9.00000 9.00000i 0.371470 0.371470i −0.496543 0.868012i \(-0.665397\pi\)
0.868012 + 0.496543i \(0.165397\pi\)
\(588\) −5.80385 4.33975i −0.239347 0.178968i
\(589\) 0.679492 0.0279980
\(590\) 14.7846 4.92820i 0.608673 0.202891i
\(591\) −7.90192 4.56218i −0.325042 0.187663i
\(592\) −1.85641 + 6.92820i −0.0762978 + 0.284747i
\(593\) −14.1962 3.80385i −0.582966 0.156205i −0.0447296 0.998999i \(-0.514243\pi\)
−0.538237 + 0.842794i \(0.680909\pi\)
\(594\) −9.92820 5.73205i −0.407359 0.235189i
\(595\) −15.2942 19.9019i −0.627002 0.815899i
\(596\) 9.24871 5.33975i 0.378842 0.218725i
\(597\) −0.464102 + 1.73205i −0.0189944 + 0.0708881i
\(598\) −33.5885 9.00000i −1.37353 0.368037i
\(599\) 21.0000 + 12.1244i 0.858037 + 0.495388i 0.863354 0.504598i \(-0.168359\pi\)
−0.00531761 + 0.999986i \(0.501693\pi\)
\(600\) 2.87564 6.73205i 0.117398 0.274835i
\(601\) 7.60770i 0.310324i 0.987889 + 0.155162i \(0.0495900\pi\)
−0.987889 + 0.155162i \(0.950410\pi\)
\(602\) −3.16987 + 1.09808i −0.129194 + 0.0447542i
\(603\) 15.9282 15.9282i 0.648647 0.648647i
\(604\) −41.9090 24.1962i −1.70525 0.984527i
\(605\) −6.59808 + 4.35641i −0.268250 + 0.177113i
\(606\) 8.95448 5.16987i 0.363751 0.210012i
\(607\) 2.99038 11.1603i 0.121376 0.452981i −0.878309 0.478094i \(-0.841328\pi\)
0.999685 + 0.0251130i \(0.00799457\pi\)
\(608\) −18.9282 5.07180i −0.767640 0.205689i
\(609\) −2.79423 + 1.89230i −0.113228 + 0.0766801i
\(610\) 12.1699 + 2.49038i 0.492744 + 0.100833i
\(611\) −33.5885 + 19.3923i −1.35884 + 0.784529i
\(612\) 16.3923 + 16.3923i 0.662620 + 0.662620i
\(613\) −3.63397 13.5622i −0.146775 0.547771i −0.999670 0.0256889i \(-0.991822\pi\)
0.852895 0.522082i \(-0.174845\pi\)
\(614\) −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 \(-0.331160\pi\)
−0.494075 + 0.869419i \(0.664493\pi\)
\(620\) −0.784610 0.392305i −0.0315107 0.0157553i
\(621\) 8.59808 + 14.8923i 0.345029 + 0.597608i
\(622\) 4.05256 + 15.1244i 0.162493 + 0.606431i
\(623\) 13.6077 + 11.7846i 0.545181 + 0.472140i
\(624\) −7.60770 4.39230i −0.304552 0.175833i
\(625\) 24.2846 5.93782i 0.971384 0.237513i
\(626\) −22.1962 38.4449i −0.887137 1.53657i
\(627\) 4.73205 1.26795i 0.188980 0.0506370i
\(628\) 15.1244 4.05256i 0.603527 0.161715i
\(629\) 7.60770i 0.303339i
\(630\) 3.00000 + 22.6603i 0.119523 + 0.902806i
\(631\) −10.7321 −0.427236 −0.213618 0.976917i \(-0.568525\pi\)
−0.213618 + 0.976917i \(0.568525\pi\)
\(632\) −0.679492 + 2.53590i −0.0270287 + 0.100873i
\(633\) 3.67949 + 13.7321i 0.146247 + 0.545800i
\(634\) −12.4641 + 7.19615i −0.495013 + 0.285796i
\(635\) 26.0263 + 23.0788i 1.03282 + 0.915856i
\(636\) −10.3923 + 6.00000i −0.412082 + 0.237915i
\(637\) −29.4904 3.50962i −1.16845 0.139056i
\(638\) 2.46410 + 9.19615i 0.0975547 + 0.364079i
\(639\) −20.1962 + 11.6603i −0.798947 + 0.461273i
\(640\) 18.9282 + 16.7846i 0.748203 + 0.663470i
\(641\) 7.66987 13.2846i 0.302942 0.524711i −0.673859 0.738860i \(-0.735365\pi\)
0.976801 + 0.214149i \(0.0686979\pi\)
\(642\) −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
\(647\) 13.9641 3.74167i 0.548985 0.147100i 0.0263442 0.999653i \(-0.491613\pi\)
0.522641 + 0.852553i \(0.324947\pi\)
\(648\) −4.87564 18.1962i −0.191533 0.714812i
\(649\) −6.73205 11.6603i −0.264256 0.457705i
\(650\) −3.58846 29.7846i −0.140751 1.16825i
\(651\) −0.267949 + 0.0192379i −0.0105018 + 0.000753992i
\(652\) 10.7321 40.0526i 0.420300 1.56858i
\(653\) 31.4186 + 8.41858i 1.22950 + 0.329445i 0.814386 0.580323i \(-0.197074\pi\)
0.415118 + 0.909768i \(0.363740\pi\)
\(654\) −4.90192 + 2.83013i −0.191680 + 0.110667i
\(655\) 1.00000 0.660254i 0.0390732 0.0257983i
\(656\) 25.8564i 1.00952i
\(657\) 21.6603 + 21.6603i 0.845047 + 0.845047i
\(658\) 22.3923 25.8564i 0.872943 1.00799i
\(659\) −4.67949 −0.182287 −0.0911436 0.995838i \(-0.529052\pi\)
−0.0911436 + 0.995838i \(0.529052\pi\)
\(660\) −6.19615 1.26795i −0.241185 0.0493549i
\(661\) −13.0359 + 22.5788i −0.507038 + 0.878215i 0.492929 + 0.870069i \(0.335926\pi\)
−0.999967 + 0.00814557i \(0.997407\pi\)
\(662\) 14.6603 + 3.92820i 0.569787 + 0.152674i
\(663\) −9.00000 2.41154i −0.349531 0.0936566i
\(664\) 30.2487 1.17388
\(665\) −16.2679 12.4641i −0.630844 0.483337i
\(666\) 3.46410 6.00000i 0.134231 0.232495i
\(667\) 3.69615 13.7942i 0.143116 0.534115i
\(668\) 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
\(672\) 7.60770 + 1.46410i 0.293473 + 0.0564789i
\(673\) 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
\(675\) −9.16025 + 11.6699i −0.352578 + 0.449174i
\(676\) −10.0000 −0.384615
\(677\) −28.2224 7.56218i −1.08468 0.290638i −0.328166 0.944620i \(-0.606431\pi\)
−0.756510 + 0.653982i \(0.773097\pi\)
\(678\) 2.53590 + 9.46410i 0.0973906 + 0.363467i
\(679\) −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
\(682\) −0.196152 + 0.732051i −0.00751106 + 0.0280317i
\(683\) 1.64359 + 6.13397i 0.0628904 + 0.234710i 0.990215 0.139547i \(-0.0445645\pi\)
−0.927325 + 0.374257i \(0.877898\pi\)
\(684\) 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
\(690\) 7.09808 + 6.29423i 0.270219 + 0.239617i
\(691\) −0.758330 1.31347i −0.0288482 0.0499666i 0.851241 0.524775i \(-0.175851\pi\)
−0.880089 + 0.474809i \(0.842517\pi\)
\(692\) −48.2487 12.9282i −1.83414 0.491457i
\(693\) 18.6603 6.46410i 0.708844 0.245551i
\(694\) 23.2750 + 13.4378i 0.883507 + 0.510093i
\(695\) −10.5622 + 0.633975i −0.400646 + 0.0240480i
\(696\) 1.80385 3.12436i 0.0683747 0.118428i
\(697\) −7.09808 26.4904i −0.268859 1.00339i
\(698\) 31.9808 31.9808i 1.21049 1.21049i
\(699\) 3.80385i 0.143875i
\(700\) 11.5885 + 23.7846i 0.438003 + 0.898974i
\(701\) 17.9808i 0.679124i −0.940584 0.339562i \(-0.889721\pi\)
0.940584 0.339562i \(-0.110279\pi\)
\(702\) 12.5885 + 12.5885i 0.475121 + 0.475121i
\(703\) 1.60770 + 6.00000i 0.0606354 + 0.226294i
\(704\) 10.9282 18.9282i 0.411872 0.713384i
\(705\) 10.5622 0.633975i 0.397795 0.0238769i
\(706\) −12.5885 + 21.8038i −0.473773 + 0.820599i
\(707\) −7.06218 + 36.6962i −0.265601 + 1.38010i
\(708\) −1.32051 + 4.92820i −0.0496277 + 0.185213i
\(709\) −1.03590 1.79423i −0.0389040 0.0673837i 0.845918 0.533313i \(-0.179053\pi\)
−0.884822 + 0.465930i \(0.845720\pi\)
\(710\) −17.9090 + 20.1962i −0.672111 + 0.757948i
\(711\) 1.26795 2.19615i 0.0475518 0.0823622i
\(712\) −18.5885 4.98076i −0.696632 0.186662i
\(713\) 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
\(717\) 0.169873 + 0.633975i 0.00634402 + 0.0236762i
\(718\) 1.73205 + 0.464102i 0.0646396 + 0.0173201i
\(719\) −3.63397 6.29423i −0.135524 0.234735i 0.790273 0.612755i \(-0.209939\pi\)
−0.925798 + 0.378019i \(0.876605\pi\)
\(720\) −13.4641 20.3923i −0.501777 0.759976i
\(721\) 14.5622 1.04552i 0.542324 0.0389371i
\(722\) 9.56218 2.56218i 0.355867 0.0953544i
\(723\) 0.196152 + 0.0525589i 0.00729499 + 0.00195469i
\(724\) 45.0333i 1.67365i
\(725\) 12.2321 1.47372i 0.454287 0.0547326i
\(726\) 2.58846i 0.0960667i
\(727\) −1.70577 1.70577i −0.0632636 0.0632636i 0.674767 0.738031i \(-0.264244\pi\)
−0.738031 + 0.674767i \(0.764244\pi\)
\(728\) 30.0000 10.3923i 1.11187 0.385164i
\(729\) 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
\(733\) 5.70577 21.2942i 0.210747 0.786520i −0.776873 0.629657i \(-0.783195\pi\)
0.987620 0.156863i \(-0.0501381\pi\)
\(734\) 19.2224 + 11.0981i 0.709513 + 0.409637i
\(735\) 6.76795 + 4.45448i 0.249640 + 0.164306i
\(736\) −28.3923 + 16.3923i −1.04655 + 0.604228i
\(737\) −21.7583 5.83013i −0.801478 0.214755i
\(738\) −6.46410 + 24.1244i −0.237947 + 0.888030i
\(739\) 2.83013 4.90192i 0.104108 0.180320i −0.809265 0.587443i \(-0.800135\pi\)
0.913373 + 0.407123i \(0.133468\pi\)
\(740\) 1.60770 7.85641i 0.0591000 0.288807i
\(741\) −7.60770 −0.279476
\(742\) 8.19615 42.5885i 0.300890 1.56347i
\(743\) 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
\(745\) −9.96410 + 6.57884i −0.365056 + 0.241030i
\(746\) 6.92820 + 12.0000i 0.253660 + 0.439351i
\(747\) −28.2224 7.56218i −1.03260 0.276686i
\(748\) 6.00000 22.3923i 0.219382 0.818744i
\(749\) −2.43782 33.9545i −0.0890761 1.24067i
\(750\) −2.75833 + 7.70577i −0.100720 + 0.281375i
\(751\) −5.19615 9.00000i −0.189610 0.328415i 0.755510 0.655137i \(-0.227389\pi\)
−0.945120 + 0.326722i \(0.894056\pi\)
\(752\) −9.46410 + 35.3205i −0.345120 + 1.28801i
\(753\) 1.16987 0.313467i 0.0426325 0.0114234i
\(754\) 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 0.725976 0.687720i \(-0.241388\pi\)
−0.687720 + 0.725976i \(0.741388\pi\)
\(758\) 18.2487 + 18.2487i 0.662823 + 0.662823i
\(759\) 4.09808 7.09808i 0.148751 0.257644i
\(760\) 21.4641 + 4.39230i 0.778585 + 0.159326i
\(761\) −41.1962 + 23.7846i −1.49336 + 0.862191i −0.999971 0.00761770i \(-0.997575\pi\)
−0.493388 + 0.869809i \(0.664242\pi\)
\(762\) −11.0000 + 2.94744i −0.398488 + 0.106775i
\(763\) 3.86603 20.0885i 0.139960 0.727251i
\(764\) −36.5885 + 21.1244i −1.32372 + 0.764252i
\(765\) −19.3923 17.1962i −0.701130 0.621728i
\(766\) −3.63397 6.29423i −0.131301 0.227420i
\(767\) 5.41154 + 20.1962i 0.195399 + 0.729241i
\(768\) −8.00000 + 2.14359i −0.288675 + 0.0773503i
\(769\) −46.6410 −1.68192 −0.840959 0.541099i \(-0.818008\pi\)
−0.840959 + 0.541099i \(0.818008\pi\)
\(770\) 18.1244 13.9282i