Properties

Label 280.2.bv.a.117.1
Level $280$
Weight $2$
Character 280.117
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 117.1
Root \(-0.866025 + 0.500000i\) of defining polynomial
Character \(\chi\) \(=\) 280.117
Dual form 280.2.bv.a.213.1

$q$-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 \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.00000 + 1.00000i −0.707107 + 0.707107i
\(3\) −0.500000 0.133975i −0.288675 0.0773503i 0.111576 0.993756i \(-0.464410\pi\)
−0.400251 + 0.916406i \(0.631077\pi\)
\(4\) 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 −0.0989291 0.995094i \(-0.531542\pi\)
0.812313 + 0.583222i \(0.198208\pi\)
\(12\) −0.267949 + 1.00000i −0.0773503 + 0.288675i
\(13\) −3.00000 + 3.00000i −0.832050 + 0.832050i −0.987797 0.155747i \(-0.950222\pi\)
0.155747 + 0.987797i \(0.450222\pi\)
\(14\) 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 −0.275029 0.961436i \(-0.588688\pi\)
−0.718900 + 0.695113i \(0.755354\pi\)
\(18\) 3.73205 1.00000i 0.879653 0.235702i
\(19\) −3.00000 1.73205i −0.688247 0.397360i 0.114708 0.993399i \(-0.463407\pi\)
−0.802955 + 0.596040i \(0.796740\pi\)
\(20\) 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 −0.926046 0.377410i \(-0.876815\pi\)
0.613275 0.789870i \(-0.289852\pi\)
\(24\) −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 −0.515177 0.857084i \(-0.672274\pi\)
0.484667 + 0.874699i \(0.338941\pi\)
\(32\) 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 0.993524 0.113618i \(-0.0362441\pi\)
−0.917227 + 0.398366i \(0.869577\pi\)
\(38\) 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 \(-0.831580\pi\)
0.863259 0.504762i \(-0.168420\pi\)
\(42\) −1.90192 + 0.366025i −0.293473 + 0.0564789i
\(43\) −0.633975 0.633975i −0.0966802 0.0966802i 0.657112 0.753793i \(-0.271778\pi\)
−0.753793 + 0.657112i \(0.771778\pi\)
\(44\) −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 0.892472 + 0.451103i \(0.148969\pi\)
−0.547351 + 0.836903i \(0.684364\pi\)
\(48\) 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 0.378528 + 0.925590i \(0.376430\pi\)
−0.790610 + 0.612320i \(0.790236\pi\)
\(54\) −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 −0.751394 0.659854i \(-0.770618\pi\)
0.195754 + 0.980653i \(0.437285\pi\)
\(60\) −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 \(0.247583\pi\)
\(62\) 0.0717968 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 −0.262889 0.964826i \(-0.584675\pi\)
−0.710081 + 0.704120i \(0.751342\pi\)
\(68\) −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 0.559101 + 0.829100i \(0.311146\pi\)
−0.898745 + 0.438471i \(0.855520\pi\)
\(74\) −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 0.454098 0.890952i \(-0.349962\pi\)
−0.544538 + 0.838736i \(0.683295\pi\)
\(80\) 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 −0.157467 0.987524i \(-0.550333\pi\)
0.987524 + 0.157467i \(0.0503329\pi\)
\(84\) 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 −0.988060 0.154068i \(-0.950762\pi\)
0.627457 + 0.778651i \(0.284096\pi\)
\(90\) 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 −0.0117904 0.999930i \(-0.503753\pi\)
0.999930 + 0.0117904i \(0.00375310\pi\)
\(98\) −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 0.967511 + 0.252831i \(0.0813615\pi\)
−0.264798 + 0.964304i \(0.585305\pi\)
\(102\) −3.00000 + 0.803848i −0.297044 + 0.0795928i
\(103\) −5.33013 + 1.42820i −0.525193 + 0.140725i −0.511668 0.859183i \(-0.670972\pi\)
−0.0135254 + 0.999909i \(0.504305\pi\)
\(104\) −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 −0.917357 0.398066i \(-0.869681\pi\)
0.595421 0.803414i \(-0.296985\pi\)
\(108\) 4.19615 4.19615i 0.403775 0.403775i
\(109\) −3.86603 6.69615i −0.370298 0.641375i 0.619313 0.785144i \(-0.287411\pi\)
−0.989611 + 0.143769i \(0.954078\pi\)
\(110\) −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 −0.104244 0.994552i \(-0.533242\pi\)
0.994552 + 0.104244i \(0.0332423\pi\)
\(114\) −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 0.0236286 0.999721i \(-0.492478\pi\)
−0.999721 + 0.0236286i \(0.992478\pi\)
\(128\) −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 −0.854083 0.520137i \(-0.825881\pi\)
0.877493 + 0.479589i \(0.159214\pi\)
\(132\) 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 −0.806422 0.591340i \(-0.798599\pi\)
0.994052 0.108904i \(-0.0347343\pi\)
\(138\) −3.00000 3.00000i −0.255377 0.255377i
\(139\) 4.73205i 0.401367i 0.979656 + 0.200684i \(0.0643163\pi\)
−0.979656 + 0.200684i \(0.935684\pi\)
\(140\) −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 −0.954418 0.298472i \(-0.903523\pi\)
0.735694 + 0.677314i \(0.236856\pi\)
\(150\) −3.36603 + 1.43782i −0.274835 + 0.117398i
\(151\) −12.0981 20.9545i −0.984527 1.70525i −0.644018 0.765011i \(-0.722734\pi\)
−0.340510 0.940241i \(-0.610600\pi\)
\(152\) −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 0.836722 + 0.547628i \(0.184469\pi\)
−0.998436 + 0.0558992i \(0.982197\pi\)
\(158\) 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 −0.935367 0.353679i \(-0.884931\pi\)
−0.633212 + 0.773978i \(0.718264\pi\)
\(164\) −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 −0.998871 0.0475146i \(-0.984870\pi\)
0.0475146 + 0.998871i \(0.484870\pi\)
\(168\) 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 −0.549034 0.835800i \(-0.685004\pi\)
0.0575778 0.998341i \(-0.481662\pi\)
\(174\) −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 0.828920 + 0.559367i \(0.188956\pi\)
0.0699665 + 0.997549i \(0.477711\pi\)
\(180\) −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 −0.176389 0.984321i \(-0.556442\pi\)
0.940641 0.339403i \(-0.110225\pi\)
\(192\) 1.07180 4.00000i 0.0773503 0.288675i
\(193\) −2.09808 0.562178i −0.151023 0.0404664i 0.182516 0.983203i \(-0.441576\pi\)
−0.333538 + 0.942737i \(0.608243\pi\)
\(194\) 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 \(-0.533901\pi\)
0.994334 + 0.106303i \(0.0339014\pi\)
\(198\) 7.46410 7.46410i 0.530451 0.530451i
\(199\) 1.73205 + 3.00000i 0.122782 + 0.212664i 0.920864 0.389885i \(-0.127485\pi\)
−0.798082 + 0.602549i \(0.794152\pi\)
\(200\) −8.73205 11.1244i −0.617449 0.786611i
\(201\) 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 \(0.394283\pi\)
−0.326048 + 0.945353i \(0.605717\pi\)
\(212\) 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 0.480185 0.877167i \(-0.340569\pi\)
−0.877167 + 0.480185i \(0.840569\pi\)
\(224\) −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 −0.677886 0.735167i \(-0.737104\pi\)
0.954650 0.297731i \(-0.0962298\pi\)
\(228\) 2.53590 2.53590i 0.167944 0.167944i
\(229\) 7.39230 + 4.26795i 0.488497 + 0.282034i 0.723951 0.689852i \(-0.242324\pi\)
−0.235454 + 0.971886i \(0.575658\pi\)
\(230\) −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 0.999825 0.0187040i \(-0.00595401\pi\)
−0.875226 + 0.483714i \(0.839287\pi\)
\(234\) −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 \(0.0130570\pi\)
−0.999159 + 0.0410084i \(0.986943\pi\)
\(240\) −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 \(0.337355\pi\)
\(242\) −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 0.883546 0.468344i \(-0.155149\pi\)
−0.999345 + 0.0361749i \(0.988483\pi\)
\(258\) −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 −0.451270 0.892388i \(-0.649029\pi\)
−0.837005 + 0.547195i \(0.815695\pi\)
\(264\) −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 −0.750142 0.661277i \(-0.770015\pi\)
0.197611 + 0.980280i \(0.436682\pi\)
\(270\) 0.562178 9.36603i 0.0342131 0.569998i
\(271\) −10.3923 6.00000i −0.631288 0.364474i 0.149963 0.988692i \(-0.452085\pi\)
−0.781251 + 0.624218i \(0.785418\pi\)
\(272\) 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 0.654272 0.756260i \(-0.272975\pi\)
0.188486 + 0.982076i \(0.439642\pi\)
\(278\) −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 0.0957780 0.995403i \(-0.469466\pi\)
−0.414755 + 0.909933i \(0.636133\pi\)
\(284\) 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 −0.864543 0.502560i \(-0.832392\pi\)
0.502560 + 0.864543i \(0.332392\pi\)
\(294\) 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 0.959248 + 0.282565i \(0.0911854\pi\)
0.282565 + 0.959248i \(0.408815\pi\)
\(308\) 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 −0.746582 0.665294i \(-0.768306\pi\)
0.202870 + 0.979206i \(0.434973\pi\)
\(312\) 6.00000 + 1.60770i 0.339683 + 0.0910178i
\(313\) 30.3205 8.12436i 1.71382 0.459216i 0.737461 0.675389i \(-0.236024\pi\)
0.976355 + 0.216173i \(0.0693577\pi\)
\(314\) −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 0.999607 + 0.0280336i \(0.00892455\pi\)
−0.851668 + 0.524081i \(0.824409\pi\)
\(318\) 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 0.222329 0.974972i \(-0.428634\pi\)
−0.733186 + 0.680028i \(0.761967\pi\)
\(332\) −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 0.640502 0.767956i \(-0.278726\pi\)
−0.767956 + 0.640502i \(0.778726\pi\)
\(338\) 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 −0.270096 0.962833i \(-0.587056\pi\)
−0.715327 + 0.698790i \(0.753722\pi\)
\(348\) 0.660254 2.46410i 0.0353933 0.132090i
\(349\) 31.9808i 1.71189i −0.517066 0.855945i \(-0.672976\pi\)
0.517066 0.855945i \(-0.327024\pi\)
\(350\) −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 0.728018 + 0.685558i \(0.240442\pi\)
−0.973261 + 0.229701i \(0.926225\pi\)
\(354\) −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 0.470743 0.882270i \(-0.343986\pi\)
−0.528697 + 0.848811i \(0.677319\pi\)
\(360\) 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 −0.159572 0.987186i \(-0.551011\pi\)
−0.631787 + 0.775142i \(0.717678\pi\)
\(368\) 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 −0.495370 0.868682i \(-0.664968\pi\)
0.00533769 + 0.999986i \(0.498301\pi\)
\(374\) 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 −0.129751 0.991547i \(-0.541418\pi\)
0.383405 + 0.923580i \(0.374751\pi\)
\(384\) 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 0.955440 + 0.295187i \(0.0953819\pi\)
−0.222080 + 0.975028i \(0.571285\pi\)
\(390\) −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 −0.329139 0.944282i \(-0.606758\pi\)
0.187099 + 0.982341i \(0.440092\pi\)
\(398\) −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 0.372972 + 0.927843i \(0.378339\pi\)
−0.990021 + 0.140918i \(0.954994\pi\)
\(402\) −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 0.726248 0.687432i \(-0.241262\pi\)
−0.958458 + 0.285233i \(0.907929\pi\)
\(410\) −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 \(-0.851687\pi\)
0.893400 0.449261i \(-0.148313\pi\)
\(420\) 4.85641 + 3.73205i 0.236968 + 0.182105i
\(421\) 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
\(423\) 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 0.994084 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 \(-0.299259\pi\)
−0.807647 + 0.589666i \(0.799259\pi\)
\(434\) −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 −0.268876 0.963175i \(-0.586652\pi\)
0.968572 0.248734i \(-0.0800144\pi\)
\(440\) −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 0.278958 0.960303i \(-0.410011\pi\)
0.721736 + 0.692168i \(0.243344\pi\)
\(444\) −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 \(0.0976962\pi\)
−0.953268 + 0.302125i \(0.902304\pi\)
\(450\) −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 −0.265081 0.964226i \(-0.585399\pi\)
0.252547 + 0.967585i \(0.418732\pi\)
\(458\) −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 −0.865245 0.501349i \(-0.832837\pi\)
0.501349 + 0.865245i \(0.332837\pi\)
\(464\) 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 −0.489781 0.871845i \(-0.662923\pi\)
0.0117598 + 0.999931i \(0.496257\pi\)
\(468\) −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 0.981374 0.192105i \(-0.0615314\pi\)
−0.657055 + 0.753843i \(0.728198\pi\)
\(480\) −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 −0.965328 0.261040i \(-0.915934\pi\)
0.966519 + 0.256596i \(0.0826011\pi\)
\(488\) −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 \(-0.987040\pi\)
0.999171 0.0407033i \(-0.0129598\pi\)
\(492\) 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 −0.261093 0.965314i \(-0.584083\pi\)
0.966533 0.256544i \(-0.0825838\pi\)
\(500\) −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 \(-0.107980\pi\)
−0.332759 + 0.943012i \(0.607980\pi\)
\(504\) −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 −0.119047 0.992889i \(-0.537984\pi\)
−0.919390 + 0.393347i \(0.871317\pi\)
\(510\) −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 −0.763802 0.645450i \(-0.776670\pi\)
0.177075 + 0.984197i \(0.443337\pi\)
\(522\) −9.19615 + 2.46410i −0.402505 + 0.107851i
\(523\) −8.70577 32.4904i −0.380677 1.42071i −0.844870 0.534971i \(-0.820322\pi\)
0.464193 0.885734i \(-0.346344\pi\)
\(524\) −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 0.173246 0.984879i \(-0.444574\pi\)
−0.766307 + 0.642475i \(0.777908\pi\)
\(542\) 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 −0.908714 0.417420i \(-0.862934\pi\)
0.417420 + 0.908714i \(0.362934\pi\)
\(548\) −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 −0.460586 0.887615i \(-0.652361\pi\)
−0.842687 + 0.538404i \(0.819027\pi\)
\(558\) −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 0.150563 0.988600i \(-0.451891\pi\)
−0.363909 + 0.931435i \(0.618558\pi\)
\(564\) −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 0.965761 0.259433i \(-0.0835356\pi\)
0.258205 + 0.966090i \(0.416869\pi\)
\(570\) 0.339746 5.66025i 0.0142304 0.237082i
\(571\) 26.7846 15.4641i 1.12090 0.647153i 0.179270 0.983800i \(-0.442626\pi\)
0.941631 + 0.336647i \(0.109293\pi\)
\(572\) 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 0.904470 0.426538i \(-0.140267\pi\)
0.570025 + 0.821627i \(0.306933\pi\)
\(578\) −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 0.868012 0.496543i \(-0.165397\pi\)
−0.496543 + 0.868012i \(0.665397\pi\)
\(588\) −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 −0.538237 0.842794i \(-0.680909\pi\)
−0.0447296 + 0.998999i \(0.514243\pi\)
\(594\) −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 −0.00531761 0.999986i \(-0.501693\pi\)
0.863354 + 0.504598i \(0.168359\pi\)
\(600\) 2.87564 + 6.73205i 0.117398 + 0.274835i
\(601\) 7.60770i 0.310324i −0.987889 0.155162i \(-0.950410\pi\)
0.987889 0.155162i \(-0.0495900\pi\)
\(602\) −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 0.999685 0.0251130i \(-0.00799457\pi\)
−0.878309 + 0.478094i \(0.841328\pi\)
\(608\) −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 0.852895 + 0.522082i \(0.174845\pi\)
−0.999670 + 0.0256889i \(0.991822\pi\)
\(614\) −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 0.917713 0.397243i \(-0.130033\pi\)
−0.397243 + 0.917713i \(0.630033\pi\)
\(618\) −2.85641 + 2.85641i −0.114902 + 0.114902i
\(619\) 0.294229 0.169873i 0.0118260 0.00682777i −0.494075 0.869419i \(-0.664493\pi\)
0.505901 + 0.862591i \(0.331160\pi\)
\(620\) −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 0.976801 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 −0.507013 0.861938i \(-0.669250\pi\)
0.861938 + 0.507013i \(0.169250\pi\)
\(644\) 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 0.522641 0.852553i \(-0.324947\pi\)
0.0263442 + 0.999653i \(0.491613\pi\)
\(648\) −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 0.415118 0.909768i \(-0.363740\pi\)
0.814386 + 0.580323i \(0.197074\pi\)
\(654\) −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 −0.999967 0.00814557i \(-0.997407\pi\)
0.492929 0.870069i \(-0.335926\pi\)
\(662\) 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 −0.703316 0.710877i \(-0.748298\pi\)
0.710877 + 0.703316i \(0.248298\pi\)
\(674\) 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 −0.756510 0.653982i \(-0.773097\pi\)
−0.328166 + 0.944620i \(0.606431\pi\)
\(678\) 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 −0.927325 0.374257i \(-0.877898\pi\)
0.990215 + 0.139547i \(0.0445645\pi\)
\(684\) 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 −0.880089 0.474809i \(-0.842517\pi\)
0.851241 + 0.524775i \(0.175851\pi\)
\(692\) −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 \(0.110279\pi\)
−0.940584 + 0.339562i \(0.889721\pi\)
\(702\) 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 −0.884822 0.465930i \(-0.845720\pi\)
0.845918 + 0.533313i \(0.179053\pi\)
\(710\) −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 −0.925798 0.378019i \(-0.876605\pi\)
0.790273 + 0.612755i \(0.209939\pi\)
\(720\) −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 −0.738031 0.674767i \(-0.764244\pi\)
0.674767 + 0.738031i \(0.264244\pi\)
\(728\) 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 0.987620 + 0.156863i \(0.0501381\pi\)
−0.776873 + 0.629657i \(0.783195\pi\)
\(734\) 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 0.913373 0.407123i \(-0.133468\pi\)
−0.809265 + 0.587443i \(0.800135\pi\)
\(740\) 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 −0.579498 0.814973i \(-0.696751\pi\)
0.814973 + 0.579498i \(0.196751\pi\)
\(744\) 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 −0.945120 0.326722i \(-0.894056\pi\)
0.755510 + 0.655137i \(0.227389\pi\)
\(752\) −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 −0.687720 0.725976i \(-0.741388\pi\)
0.725976 + 0.687720i \(0.241388\pi\)
\(758\) 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 −0.493388 0.869809i \(-0.664242\pi\)
−0.999971 + 0.00761770i \(0.997575\pi\)
\(762\) −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 0.653156 + 0.501938i