Properties

Label 370.2.r.a.347.1
Level $370$
Weight $2$
Character 370.347
Analytic conductor $2.954$
Analytic rank $0$
Dimension $4$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 370 = 2 \cdot 5 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 370.r (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.95446487479\)
Analytic rank: \(0\)
Dimension: \(4\)
Coefficient field: \(\Q(\zeta_{12})\)
Defining polynomial: \(x^{4} - x^{2} + 1\)
Coefficient ring: \(\Z[a_1, a_2]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 347.1
Root \(0.866025 - 0.500000i\) of defining polynomial
Character \(\chi\) \(=\) 370.347
Dual form 370.2.r.a.193.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.866025 - 0.500000i) q^{2} +(0.500000 - 1.86603i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-1.23205 + 1.86603i) q^{5} +(-1.36603 + 1.36603i) q^{6} +(-0.732051 + 2.73205i) q^{7} -1.00000i q^{8} +(-0.633975 - 0.366025i) q^{9} +O(q^{10})\) \(q+(-0.866025 - 0.500000i) q^{2} +(0.500000 - 1.86603i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-1.23205 + 1.86603i) q^{5} +(-1.36603 + 1.36603i) q^{6} +(-0.732051 + 2.73205i) q^{7} -1.00000i q^{8} +(-0.633975 - 0.366025i) q^{9} +(2.00000 - 1.00000i) q^{10} +2.00000i q^{11} +(1.86603 - 0.500000i) q^{12} +(-2.13397 + 1.23205i) q^{13} +(2.00000 - 2.00000i) q^{14} +(2.86603 + 3.23205i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-3.09808 + 5.36603i) q^{17} +(0.366025 + 0.633975i) q^{18} +(-1.63397 + 6.09808i) q^{19} +(-2.23205 - 0.133975i) q^{20} +(4.73205 + 2.73205i) q^{21} +(1.00000 - 1.73205i) q^{22} -6.00000i q^{23} +(-1.86603 - 0.500000i) q^{24} +(-1.96410 - 4.59808i) q^{25} +2.46410 q^{26} +(3.09808 - 3.09808i) q^{27} +(-2.73205 + 0.732051i) q^{28} +(4.73205 - 4.73205i) q^{29} +(-0.866025 - 4.23205i) q^{30} +(6.83013 + 6.83013i) q^{31} +(0.866025 - 0.500000i) q^{32} +(3.73205 + 1.00000i) q^{33} +(5.36603 - 3.09808i) q^{34} +(-4.19615 - 4.73205i) q^{35} -0.732051i q^{36} +(2.59808 - 5.50000i) q^{37} +(4.46410 - 4.46410i) q^{38} +(1.23205 + 4.59808i) q^{39} +(1.86603 + 1.23205i) q^{40} +(-5.59808 + 3.23205i) q^{41} +(-2.73205 - 4.73205i) q^{42} +11.0000i q^{43} +(-1.73205 + 1.00000i) q^{44} +(1.46410 - 0.732051i) q^{45} +(-3.00000 + 5.19615i) q^{46} +(-6.19615 - 6.19615i) q^{47} +(1.36603 + 1.36603i) q^{48} +(-0.866025 - 0.500000i) q^{49} +(-0.598076 + 4.96410i) q^{50} +(8.46410 + 8.46410i) q^{51} +(-2.13397 - 1.23205i) q^{52} +(-1.30385 - 4.86603i) q^{53} +(-4.23205 + 1.13397i) q^{54} +(-3.73205 - 2.46410i) q^{55} +(2.73205 + 0.732051i) q^{56} +(10.5622 + 6.09808i) q^{57} +(-6.46410 + 1.73205i) q^{58} +(-3.09808 + 0.830127i) q^{59} +(-1.36603 + 4.09808i) q^{60} +(0.464102 - 1.73205i) q^{61} +(-2.50000 - 9.33013i) q^{62} +(1.46410 - 1.46410i) q^{63} -1.00000 q^{64} +(0.330127 - 5.50000i) q^{65} +(-2.73205 - 2.73205i) q^{66} +(5.36603 + 1.43782i) q^{67} -6.19615 q^{68} +(-11.1962 - 3.00000i) q^{69} +(1.26795 + 6.19615i) q^{70} +(1.46410 + 2.53590i) q^{71} +(-0.366025 + 0.633975i) q^{72} +(-5.00000 + 3.46410i) q^{74} +(-9.56218 + 1.36603i) q^{75} +(-6.09808 + 1.63397i) q^{76} +(-5.46410 - 1.46410i) q^{77} +(1.23205 - 4.59808i) q^{78} +(-1.83013 + 6.83013i) q^{79} +(-1.00000 - 2.00000i) q^{80} +(-5.33013 - 9.23205i) q^{81} +6.46410 q^{82} +(4.16987 + 15.5622i) q^{83} +5.46410i q^{84} +(-6.19615 - 12.3923i) q^{85} +(5.50000 - 9.52628i) q^{86} +(-6.46410 - 11.1962i) q^{87} +2.00000 q^{88} +(-0.437822 - 1.63397i) q^{89} +(-1.63397 - 0.0980762i) q^{90} +(-1.80385 - 6.73205i) q^{91} +(5.19615 - 3.00000i) q^{92} +(16.1603 - 9.33013i) q^{93} +(2.26795 + 8.46410i) q^{94} +(-9.36603 - 10.5622i) q^{95} +(-0.500000 - 1.86603i) q^{96} -1.46410 q^{97} +(0.500000 + 0.866025i) q^{98} +(0.732051 - 1.26795i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 4 q + 2 q^{3} + 2 q^{4} + 2 q^{5} - 2 q^{6} + 4 q^{7} - 6 q^{9} + O(q^{10}) \) \( 4 q + 2 q^{3} + 2 q^{4} + 2 q^{5} - 2 q^{6} + 4 q^{7} - 6 q^{9} + 8 q^{10} + 4 q^{12} - 12 q^{13} + 8 q^{14} + 8 q^{15} - 2 q^{16} - 2 q^{17} - 2 q^{18} - 10 q^{19} - 2 q^{20} + 12 q^{21} + 4 q^{22} - 4 q^{24} + 6 q^{25} - 4 q^{26} + 2 q^{27} - 4 q^{28} + 12 q^{29} + 10 q^{31} + 8 q^{33} + 18 q^{34} + 4 q^{35} + 4 q^{38} - 2 q^{39} + 4 q^{40} - 12 q^{41} - 4 q^{42} - 8 q^{45} - 12 q^{46} - 4 q^{47} + 2 q^{48} + 8 q^{50} + 20 q^{51} - 12 q^{52} - 26 q^{53} - 10 q^{54} - 8 q^{55} + 4 q^{56} + 18 q^{57} - 12 q^{58} - 2 q^{59} - 2 q^{60} - 12 q^{61} - 10 q^{62} - 8 q^{63} - 4 q^{64} - 16 q^{65} - 4 q^{66} + 18 q^{67} - 4 q^{68} - 24 q^{69} + 12 q^{70} - 8 q^{71} + 2 q^{72} - 20 q^{74} - 14 q^{75} - 14 q^{76} - 8 q^{77} - 2 q^{78} + 10 q^{79} - 4 q^{80} - 4 q^{81} + 12 q^{82} + 34 q^{83} - 4 q^{85} + 22 q^{86} - 12 q^{87} + 8 q^{88} - 26 q^{89} - 10 q^{90} - 28 q^{91} + 30 q^{93} + 16 q^{94} - 34 q^{95} - 2 q^{96} + 8 q^{97} + 2 q^{98} - 4 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).

\(n\) \(261\) \(297\)
\(\chi(n)\) \(e\left(\frac{11}{12}\right)\) \(e\left(\frac{1}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.866025 0.500000i −0.612372 0.353553i
\(3\) 0.500000 1.86603i 0.288675 1.07735i −0.657437 0.753510i \(-0.728359\pi\)
0.946112 0.323840i \(-0.104974\pi\)
\(4\) 0.500000 + 0.866025i 0.250000 + 0.433013i
\(5\) −1.23205 + 1.86603i −0.550990 + 0.834512i
\(6\) −1.36603 + 1.36603i −0.557678 + 0.557678i
\(7\) −0.732051 + 2.73205i −0.276689 + 1.03262i 0.678012 + 0.735051i \(0.262842\pi\)
−0.954701 + 0.297567i \(0.903825\pi\)
\(8\) 1.00000i 0.353553i
\(9\) −0.633975 0.366025i −0.211325 0.122008i
\(10\) 2.00000 1.00000i 0.632456 0.316228i
\(11\) 2.00000i 0.603023i 0.953463 + 0.301511i \(0.0974911\pi\)
−0.953463 + 0.301511i \(0.902509\pi\)
\(12\) 1.86603 0.500000i 0.538675 0.144338i
\(13\) −2.13397 + 1.23205i −0.591858 + 0.341709i −0.765832 0.643041i \(-0.777673\pi\)
0.173974 + 0.984750i \(0.444339\pi\)
\(14\) 2.00000 2.00000i 0.534522 0.534522i
\(15\) 2.86603 + 3.23205i 0.740005 + 0.834512i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) −3.09808 + 5.36603i −0.751394 + 1.30145i 0.195753 + 0.980653i \(0.437285\pi\)
−0.947147 + 0.320799i \(0.896049\pi\)
\(18\) 0.366025 + 0.633975i 0.0862730 + 0.149429i
\(19\) −1.63397 + 6.09808i −0.374859 + 1.39899i 0.478691 + 0.877984i \(0.341112\pi\)
−0.853550 + 0.521011i \(0.825555\pi\)
\(20\) −2.23205 0.133975i −0.499102 0.0299576i
\(21\) 4.73205 + 2.73205i 1.03262 + 0.596182i
\(22\) 1.00000 1.73205i 0.213201 0.369274i
\(23\) 6.00000i 1.25109i −0.780189 0.625543i \(-0.784877\pi\)
0.780189 0.625543i \(-0.215123\pi\)
\(24\) −1.86603 0.500000i −0.380901 0.102062i
\(25\) −1.96410 4.59808i −0.392820 0.919615i
\(26\) 2.46410 0.483250
\(27\) 3.09808 3.09808i 0.596225 0.596225i
\(28\) −2.73205 + 0.732051i −0.516309 + 0.138345i
\(29\) 4.73205 4.73205i 0.878720 0.878720i −0.114682 0.993402i \(-0.536585\pi\)
0.993402 + 0.114682i \(0.0365850\pi\)
\(30\) −0.866025 4.23205i −0.158114 0.772663i
\(31\) 6.83013 + 6.83013i 1.22673 + 1.22673i 0.965195 + 0.261532i \(0.0842278\pi\)
0.261532 + 0.965195i \(0.415772\pi\)
\(32\) 0.866025 0.500000i 0.153093 0.0883883i
\(33\) 3.73205 + 1.00000i 0.649667 + 0.174078i
\(34\) 5.36603 3.09808i 0.920266 0.531316i
\(35\) −4.19615 4.73205i −0.709279 0.799863i
\(36\) 0.732051i 0.122008i
\(37\) 2.59808 5.50000i 0.427121 0.904194i
\(38\) 4.46410 4.46410i 0.724173 0.724173i
\(39\) 1.23205 + 4.59808i 0.197286 + 0.736281i
\(40\) 1.86603 + 1.23205i 0.295045 + 0.194804i
\(41\) −5.59808 + 3.23205i −0.874273 + 0.504762i −0.868766 0.495223i \(-0.835086\pi\)
−0.00550690 + 0.999985i \(0.501753\pi\)
\(42\) −2.73205 4.73205i −0.421565 0.730171i
\(43\) 11.0000i 1.67748i 0.544529 + 0.838742i \(0.316708\pi\)
−0.544529 + 0.838742i \(0.683292\pi\)
\(44\) −1.73205 + 1.00000i −0.261116 + 0.150756i
\(45\) 1.46410 0.732051i 0.218255 0.109128i
\(46\) −3.00000 + 5.19615i −0.442326 + 0.766131i
\(47\) −6.19615 6.19615i −0.903802 0.903802i 0.0919609 0.995763i \(-0.470687\pi\)
−0.995763 + 0.0919609i \(0.970687\pi\)
\(48\) 1.36603 + 1.36603i 0.197169 + 0.197169i
\(49\) −0.866025 0.500000i −0.123718 0.0714286i
\(50\) −0.598076 + 4.96410i −0.0845807 + 0.702030i
\(51\) 8.46410 + 8.46410i 1.18521 + 1.18521i
\(52\) −2.13397 1.23205i −0.295929 0.170855i
\(53\) −1.30385 4.86603i −0.179097 0.668400i −0.995817 0.0913660i \(-0.970877\pi\)
0.816720 0.577034i \(-0.195790\pi\)
\(54\) −4.23205 + 1.13397i −0.575909 + 0.154314i
\(55\) −3.73205 2.46410i −0.503230 0.332259i
\(56\) 2.73205 + 0.732051i 0.365086 + 0.0978244i
\(57\) 10.5622 + 6.09808i 1.39899 + 0.807710i
\(58\) −6.46410 + 1.73205i −0.848778 + 0.227429i
\(59\) −3.09808 + 0.830127i −0.403335 + 0.108073i −0.454783 0.890602i \(-0.650283\pi\)
0.0514477 + 0.998676i \(0.483616\pi\)
\(60\) −1.36603 + 4.09808i −0.176353 + 0.529059i
\(61\) 0.464102 1.73205i 0.0594221 0.221766i −0.929829 0.367991i \(-0.880046\pi\)
0.989251 + 0.146225i \(0.0467123\pi\)
\(62\) −2.50000 9.33013i −0.317500 1.18493i
\(63\) 1.46410 1.46410i 0.184459 0.184459i
\(64\) −1.00000 −0.125000
\(65\) 0.330127 5.50000i 0.0409472 0.682191i
\(66\) −2.73205 2.73205i −0.336292 0.336292i
\(67\) 5.36603 + 1.43782i 0.655564 + 0.175658i 0.571243 0.820781i \(-0.306461\pi\)
0.0843209 + 0.996439i \(0.473128\pi\)
\(68\) −6.19615 −0.751394
\(69\) −11.1962 3.00000i −1.34786 0.361158i
\(70\) 1.26795 + 6.19615i 0.151549 + 0.740582i
\(71\) 1.46410 + 2.53590i 0.173757 + 0.300956i 0.939730 0.341916i \(-0.111076\pi\)
−0.765973 + 0.642872i \(0.777743\pi\)
\(72\) −0.366025 + 0.633975i −0.0431365 + 0.0747146i
\(73\) 0 0 0.707107 0.707107i \(-0.250000\pi\)
−0.707107 + 0.707107i \(0.750000\pi\)
\(74\) −5.00000 + 3.46410i −0.581238 + 0.402694i
\(75\) −9.56218 + 1.36603i −1.10415 + 0.157735i
\(76\) −6.09808 + 1.63397i −0.699497 + 0.187430i
\(77\) −5.46410 1.46410i −0.622692 0.166850i
\(78\) 1.23205 4.59808i 0.139502 0.520630i
\(79\) −1.83013 + 6.83013i −0.205905 + 0.768449i 0.783266 + 0.621686i \(0.213552\pi\)
−0.989172 + 0.146763i \(0.953115\pi\)
\(80\) −1.00000 2.00000i −0.111803 0.223607i
\(81\) −5.33013 9.23205i −0.592236 1.02578i
\(82\) 6.46410 0.713841
\(83\) 4.16987 + 15.5622i 0.457703 + 1.70817i 0.680017 + 0.733196i \(0.261972\pi\)
−0.222314 + 0.974975i \(0.571361\pi\)
\(84\) 5.46410i 0.596182i
\(85\) −6.19615 12.3923i −0.672067 1.34413i
\(86\) 5.50000 9.52628i 0.593080 1.02725i
\(87\) −6.46410 11.1962i −0.693024 1.20035i
\(88\) 2.00000 0.213201
\(89\) −0.437822 1.63397i −0.0464091 0.173201i 0.938831 0.344377i \(-0.111910\pi\)
−0.985240 + 0.171176i \(0.945243\pi\)
\(90\) −1.63397 0.0980762i −0.172236 0.0103381i
\(91\) −1.80385 6.73205i −0.189095 0.705711i
\(92\) 5.19615 3.00000i 0.541736 0.312772i
\(93\) 16.1603 9.33013i 1.67574 0.967489i
\(94\) 2.26795 + 8.46410i 0.233921 + 0.873005i
\(95\) −9.36603 10.5622i −0.960934 1.08366i
\(96\) −0.500000 1.86603i −0.0510310 0.190450i
\(97\) −1.46410 −0.148657 −0.0743285 0.997234i \(-0.523681\pi\)
−0.0743285 + 0.997234i \(0.523681\pi\)
\(98\) 0.500000 + 0.866025i 0.0505076 + 0.0874818i
\(99\) 0.732051 1.26795i 0.0735739 0.127434i
\(100\) 3.00000 4.00000i 0.300000 0.400000i
\(101\) 0.196152i 0.0195179i 0.999952 + 0.00975895i \(0.00310642\pi\)
−0.999952 + 0.00975895i \(0.996894\pi\)
\(102\) −3.09808 11.5622i −0.306755 1.14483i
\(103\) −6.19615 −0.610525 −0.305263 0.952268i \(-0.598744\pi\)
−0.305263 + 0.952268i \(0.598744\pi\)
\(104\) 1.23205 + 2.13397i 0.120813 + 0.209253i
\(105\) −10.9282 + 5.46410i −1.06648 + 0.533242i
\(106\) −1.30385 + 4.86603i −0.126641 + 0.472630i
\(107\) 3.59808 13.4282i 0.347839 1.29815i −0.541421 0.840752i \(-0.682113\pi\)
0.889260 0.457402i \(-0.151220\pi\)
\(108\) 4.23205 + 1.13397i 0.407229 + 0.109117i
\(109\) 1.00000 0.267949i 0.0957826 0.0256649i −0.210609 0.977570i \(-0.567545\pi\)
0.306392 + 0.951905i \(0.400878\pi\)
\(110\) 2.00000 + 4.00000i 0.190693 + 0.381385i
\(111\) −8.96410 7.59808i −0.850835 0.721177i
\(112\) −2.00000 2.00000i −0.188982 0.188982i
\(113\) −3.00000 + 5.19615i −0.282216 + 0.488813i −0.971930 0.235269i \(-0.924403\pi\)
0.689714 + 0.724082i \(0.257736\pi\)
\(114\) −6.09808 10.5622i −0.571137 0.989239i
\(115\) 11.1962 + 7.39230i 1.04405 + 0.689336i
\(116\) 6.46410 + 1.73205i 0.600177 + 0.160817i
\(117\) 1.80385 0.166766
\(118\) 3.09808 + 0.830127i 0.285201 + 0.0764194i
\(119\) −12.3923 12.3923i −1.13600 1.13600i
\(120\) 3.23205 2.86603i 0.295045 0.261631i
\(121\) 7.00000 0.636364
\(122\) −1.26795 + 1.26795i −0.114795 + 0.114795i
\(123\) 3.23205 + 12.0622i 0.291424 + 1.08761i
\(124\) −2.50000 + 9.33013i −0.224507 + 0.837870i
\(125\) 11.0000 + 2.00000i 0.983870 + 0.178885i
\(126\) −2.00000 + 0.535898i −0.178174 + 0.0477416i
\(127\) −8.83013 + 2.36603i −0.783547 + 0.209951i −0.628348 0.777932i \(-0.716269\pi\)
−0.155199 + 0.987883i \(0.549602\pi\)
\(128\) 0.866025 + 0.500000i 0.0765466 + 0.0441942i
\(129\) 20.5263 + 5.50000i 1.80724 + 0.484248i
\(130\) −3.03590 + 4.59808i −0.266266 + 0.403278i
\(131\) 0.732051 0.196152i 0.0639596 0.0171379i −0.226697 0.973965i \(-0.572793\pi\)
0.290657 + 0.956827i \(0.406126\pi\)
\(132\) 1.00000 + 3.73205i 0.0870388 + 0.324833i
\(133\) −15.4641 8.92820i −1.34091 0.774173i
\(134\) −3.92820 3.92820i −0.339345 0.339345i
\(135\) 1.96410 + 9.59808i 0.169043 + 0.826071i
\(136\) 5.36603 + 3.09808i 0.460133 + 0.265658i
\(137\) 2.00000 + 2.00000i 0.170872 + 0.170872i 0.787362 0.616491i \(-0.211446\pi\)
−0.616491 + 0.787362i \(0.711446\pi\)
\(138\) 8.19615 + 8.19615i 0.697703 + 0.697703i
\(139\) 5.46410 9.46410i 0.463459 0.802735i −0.535671 0.844426i \(-0.679941\pi\)
0.999131 + 0.0416919i \(0.0132748\pi\)
\(140\) 2.00000 6.00000i 0.169031 0.507093i
\(141\) −14.6603 + 8.46410i −1.23462 + 0.712806i
\(142\) 2.92820i 0.245729i
\(143\) −2.46410 4.26795i −0.206059 0.356904i
\(144\) 0.633975 0.366025i 0.0528312 0.0305021i
\(145\) 3.00000 + 14.6603i 0.249136 + 1.21747i
\(146\) 0 0
\(147\) −1.36603 + 1.36603i −0.112668 + 0.112668i
\(148\) 6.06218 0.500000i 0.498308 0.0410997i
\(149\) 22.7321i 1.86228i −0.364659 0.931141i \(-0.618814\pi\)
0.364659 0.931141i \(-0.381186\pi\)
\(150\) 8.96410 + 3.59808i 0.731916 + 0.293782i
\(151\) −2.76795 + 1.59808i −0.225253 + 0.130050i −0.608380 0.793646i \(-0.708180\pi\)
0.383127 + 0.923695i \(0.374847\pi\)
\(152\) 6.09808 + 1.63397i 0.494619 + 0.132533i
\(153\) 3.92820 2.26795i 0.317576 0.183353i
\(154\) 4.00000 + 4.00000i 0.322329 + 0.322329i
\(155\) −21.1603 + 4.33013i −1.69963 + 0.347804i
\(156\) −3.36603 + 3.36603i −0.269498 + 0.269498i
\(157\) 19.6244 5.25833i 1.56619 0.419660i 0.631576 0.775314i \(-0.282408\pi\)
0.934618 + 0.355653i \(0.115742\pi\)
\(158\) 5.00000 5.00000i 0.397779 0.397779i
\(159\) −9.73205 −0.771802
\(160\) −0.133975 + 2.23205i −0.0105916 + 0.176459i
\(161\) 16.3923 + 4.39230i 1.29189 + 0.346162i
\(162\) 10.6603i 0.837549i
\(163\) 1.76795 3.06218i 0.138476 0.239848i −0.788444 0.615107i \(-0.789113\pi\)
0.926920 + 0.375259i \(0.122446\pi\)
\(164\) −5.59808 3.23205i −0.437136 0.252381i
\(165\) −6.46410 + 5.73205i −0.503230 + 0.446240i
\(166\) 4.16987 15.5622i 0.323645 1.20786i
\(167\) 10.3660 + 17.9545i 0.802147 + 1.38936i 0.918200 + 0.396117i \(0.129642\pi\)
−0.116053 + 0.993243i \(0.537024\pi\)
\(168\) 2.73205 4.73205i 0.210782 0.365086i
\(169\) −3.46410 + 6.00000i −0.266469 + 0.461538i
\(170\) −0.830127 + 13.8301i −0.0636678 + 1.06072i
\(171\) 3.26795 3.26795i 0.249906 0.249906i
\(172\) −9.52628 + 5.50000i −0.726372 + 0.419371i
\(173\) 23.4904 6.29423i 1.78594 0.478541i 0.794295 0.607532i \(-0.207841\pi\)
0.991646 + 0.128991i \(0.0411739\pi\)
\(174\) 12.9282i 0.980085i
\(175\) 14.0000 2.00000i 1.05830 0.151186i
\(176\) −1.73205 1.00000i −0.130558 0.0753778i
\(177\) 6.19615i 0.465731i
\(178\) −0.437822 + 1.63397i −0.0328162 + 0.122472i
\(179\) −10.3923 + 10.3923i −0.776757 + 0.776757i −0.979278 0.202521i \(-0.935087\pi\)
0.202521 + 0.979278i \(0.435087\pi\)
\(180\) 1.36603 + 0.901924i 0.101818 + 0.0672254i
\(181\) 6.90192 + 11.9545i 0.513016 + 0.888570i 0.999886 + 0.0150953i \(0.00480517\pi\)
−0.486870 + 0.873474i \(0.661861\pi\)
\(182\) −1.80385 + 6.73205i −0.133710 + 0.499013i
\(183\) −3.00000 1.73205i −0.221766 0.128037i
\(184\) −6.00000 −0.442326
\(185\) 7.06218 + 11.6244i 0.519222 + 0.854640i
\(186\) −18.6603 −1.36824
\(187\) −10.7321 6.19615i −0.784805 0.453108i
\(188\) 2.26795 8.46410i 0.165407 0.617308i
\(189\) 6.19615 + 10.7321i 0.450704 + 0.780642i
\(190\) 2.83013 + 13.8301i 0.205319 + 1.00334i
\(191\) −1.83013 + 1.83013i −0.132423 + 0.132423i −0.770212 0.637788i \(-0.779849\pi\)
0.637788 + 0.770212i \(0.279849\pi\)
\(192\) −0.500000 + 1.86603i −0.0360844 + 0.134669i
\(193\) 0.339746i 0.0244554i 0.999925 + 0.0122277i \(0.00389230\pi\)
−0.999925 + 0.0122277i \(0.996108\pi\)
\(194\) 1.26795 + 0.732051i 0.0910334 + 0.0525582i
\(195\) −10.0981 3.36603i −0.723138 0.241046i
\(196\) 1.00000i 0.0714286i
\(197\) 7.86603 2.10770i 0.560431 0.150167i 0.0325267 0.999471i \(-0.489645\pi\)
0.527904 + 0.849304i \(0.322978\pi\)
\(198\) −1.26795 + 0.732051i −0.0901092 + 0.0520246i
\(199\) 14.7583 14.7583i 1.04619 1.04619i 0.0473100 0.998880i \(-0.484935\pi\)
0.998880 0.0473100i \(-0.0150649\pi\)
\(200\) −4.59808 + 1.96410i −0.325133 + 0.138883i
\(201\) 5.36603 9.29423i 0.378490 0.655564i
\(202\) 0.0980762 0.169873i 0.00690062 0.0119522i
\(203\) 9.46410 + 16.3923i 0.664250 + 1.15051i
\(204\) −3.09808 + 11.5622i −0.216909 + 0.809514i
\(205\) 0.866025 14.4282i 0.0604858 1.00771i
\(206\) 5.36603 + 3.09808i 0.373869 + 0.215853i
\(207\) −2.19615 + 3.80385i −0.152643 + 0.264386i
\(208\) 2.46410i 0.170855i
\(209\) −12.1962 3.26795i −0.843626 0.226049i
\(210\) 12.1962 + 0.732051i 0.841614 + 0.0505163i
\(211\) 4.00000 0.275371 0.137686 0.990476i \(-0.456034\pi\)
0.137686 + 0.990476i \(0.456034\pi\)
\(212\) 3.56218 3.56218i 0.244651 0.244651i
\(213\) 5.46410 1.46410i 0.374394 0.100319i
\(214\) −9.83013 + 9.83013i −0.671974 + 0.671974i
\(215\) −20.5263 13.5526i −1.39988 0.924277i
\(216\) −3.09808 3.09808i −0.210797 0.210797i
\(217\) −23.6603 + 13.6603i −1.60616 + 0.927318i
\(218\) −1.00000 0.267949i −0.0677285 0.0181478i
\(219\) 0 0
\(220\) 0.267949 4.46410i 0.0180651 0.300970i
\(221\) 15.2679i 1.02703i
\(222\) 3.96410 + 11.0622i 0.266053 + 0.742445i
\(223\) −12.9282 + 12.9282i −0.865737 + 0.865737i −0.991997 0.126261i \(-0.959702\pi\)
0.126261 + 0.991997i \(0.459702\pi\)
\(224\) 0.732051 + 2.73205i 0.0489122 + 0.182543i
\(225\) −0.437822 + 3.63397i −0.0291881 + 0.242265i
\(226\) 5.19615 3.00000i 0.345643 0.199557i
\(227\) −1.33013 2.30385i −0.0882836 0.152912i 0.818502 0.574504i \(-0.194805\pi\)
−0.906786 + 0.421592i \(0.861472\pi\)
\(228\) 12.1962i 0.807710i
\(229\) 15.2942 8.83013i 1.01067 0.583511i 0.0992830 0.995059i \(-0.468345\pi\)
0.911388 + 0.411548i \(0.135012\pi\)
\(230\) −6.00000 12.0000i −0.395628 0.791257i
\(231\) −5.46410 + 9.46410i −0.359511 + 0.622692i
\(232\) −4.73205 4.73205i −0.310674 0.310674i
\(233\) −15.8564 15.8564i −1.03879 1.03879i −0.999217 0.0395710i \(-0.987401\pi\)
−0.0395710 0.999217i \(-0.512599\pi\)
\(234\) −1.56218 0.901924i −0.102123 0.0589606i
\(235\) 19.1962 3.92820i 1.25222 0.256248i
\(236\) −2.26795 2.26795i −0.147631 0.147631i
\(237\) 11.8301 + 6.83013i 0.768449 + 0.443664i
\(238\) 4.53590 + 16.9282i 0.294019 + 1.09729i
\(239\) 14.8301 3.97372i 0.959281 0.257039i 0.254985 0.966945i \(-0.417929\pi\)
0.704296 + 0.709906i \(0.251263\pi\)
\(240\) −4.23205 + 0.866025i −0.273178 + 0.0559017i
\(241\) 18.0263 + 4.83013i 1.16117 + 0.311136i 0.787435 0.616398i \(-0.211409\pi\)
0.373740 + 0.927534i \(0.378075\pi\)
\(242\) −6.06218 3.50000i −0.389692 0.224989i
\(243\) −7.19615 + 1.92820i −0.461633 + 0.123694i
\(244\) 1.73205 0.464102i 0.110883 0.0297111i
\(245\) 2.00000 1.00000i 0.127775 0.0638877i
\(246\) 3.23205 12.0622i 0.206068 0.769056i
\(247\) −4.02628 15.0263i −0.256186 0.956099i
\(248\) 6.83013 6.83013i 0.433713 0.433713i
\(249\) 31.1244 1.97243
\(250\) −8.52628 7.23205i −0.539249 0.457395i
\(251\) 5.73205 + 5.73205i 0.361804 + 0.361804i 0.864477 0.502673i \(-0.167650\pi\)
−0.502673 + 0.864477i \(0.667650\pi\)
\(252\) 2.00000 + 0.535898i 0.125988 + 0.0337584i
\(253\) 12.0000 0.754434
\(254\) 8.83013 + 2.36603i 0.554051 + 0.148458i
\(255\) −26.2224 + 5.36603i −1.64211 + 0.336034i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −0.169873 + 0.294229i −0.0105964 + 0.0183535i −0.871275 0.490795i \(-0.836706\pi\)
0.860679 + 0.509149i \(0.170040\pi\)
\(258\) −15.0263 15.0263i −0.935495 0.935495i
\(259\) 13.1244 + 11.1244i 0.815508 + 0.691234i
\(260\) 4.92820 2.46410i 0.305634 0.152817i
\(261\) −4.73205 + 1.26795i −0.292907 + 0.0784841i
\(262\) −0.732051 0.196152i −0.0452262 0.0121183i
\(263\) −0.0262794 + 0.0980762i −0.00162046 + 0.00604764i −0.966731 0.255794i \(-0.917663\pi\)
0.965111 + 0.261842i \(0.0843298\pi\)
\(264\) 1.00000 3.73205i 0.0615457 0.229692i
\(265\) 10.6865 + 3.56218i 0.656469 + 0.218823i
\(266\) 8.92820 + 15.4641i 0.547423 + 0.948165i
\(267\) −3.26795 −0.199995
\(268\) 1.43782 + 5.36603i 0.0878290 + 0.327782i
\(269\) 6.58846i 0.401705i −0.979621 0.200853i \(-0.935629\pi\)
0.979621 0.200853i \(-0.0643712\pi\)
\(270\) 3.09808 9.29423i 0.188543 0.565629i
\(271\) 5.23205 9.06218i 0.317824 0.550488i −0.662209 0.749319i \(-0.730381\pi\)
0.980034 + 0.198831i \(0.0637144\pi\)
\(272\) −3.09808 5.36603i −0.187848 0.325363i
\(273\) −13.4641 −0.814885
\(274\) −0.732051 2.73205i −0.0442248 0.165049i
\(275\) 9.19615 3.92820i 0.554549 0.236880i
\(276\) −3.00000 11.1962i −0.180579 0.673929i
\(277\) −14.4282 + 8.33013i −0.866907 + 0.500509i −0.866319 0.499491i \(-0.833520\pi\)
−0.000587640 1.00000i \(0.500187\pi\)
\(278\) −9.46410 + 5.46410i −0.567619 + 0.327715i
\(279\) −1.83013 6.83013i −0.109567 0.408909i
\(280\) −4.73205 + 4.19615i −0.282794 + 0.250768i
\(281\) −0.624356 2.33013i −0.0372459 0.139004i 0.944799 0.327650i \(-0.106257\pi\)
−0.982045 + 0.188646i \(0.939590\pi\)
\(282\) 16.9282 1.00806
\(283\) −6.50000 11.2583i −0.386385 0.669238i 0.605575 0.795788i \(-0.292943\pi\)
−0.991960 + 0.126550i \(0.959610\pi\)
\(284\) −1.46410 + 2.53590i −0.0868784 + 0.150478i
\(285\) −24.3923 + 12.1962i −1.44488 + 0.722438i
\(286\) 4.92820i 0.291411i
\(287\) −4.73205 17.6603i −0.279324 1.04245i
\(288\) −0.732051 −0.0431365
\(289\) −10.6962 18.5263i −0.629185 1.08978i
\(290\) 4.73205 14.1962i 0.277876 0.833627i
\(291\) −0.732051 + 2.73205i −0.0429136 + 0.160156i
\(292\) 0 0
\(293\) −3.13397 0.839746i −0.183089 0.0490585i 0.166110 0.986107i \(-0.446879\pi\)
−0.349198 + 0.937049i \(0.613546\pi\)
\(294\) 1.86603 0.500000i 0.108829 0.0291606i
\(295\) 2.26795 6.80385i 0.132045 0.396135i
\(296\) −5.50000 2.59808i −0.319681 0.151010i
\(297\) 6.19615 + 6.19615i 0.359537 + 0.359537i
\(298\) −11.3660 + 19.6865i −0.658416 + 1.14041i
\(299\) 7.39230 + 12.8038i 0.427508 + 0.740466i
\(300\) −5.96410 7.59808i −0.344338 0.438675i
\(301\) −30.0526 8.05256i −1.73220 0.464142i
\(302\) 3.19615 0.183918
\(303\) 0.366025 + 0.0980762i 0.0210276 + 0.00563433i
\(304\) −4.46410 4.46410i −0.256034 0.256034i
\(305\) 2.66025 + 3.00000i 0.152326 + 0.171780i
\(306\) −4.53590 −0.259300
\(307\) 15.4186 15.4186i 0.879985 0.879985i −0.113547 0.993533i \(-0.536221\pi\)
0.993533 + 0.113547i \(0.0362214\pi\)
\(308\) −1.46410 5.46410i −0.0834249 0.311346i
\(309\) −3.09808 + 11.5622i −0.176243 + 0.657749i
\(310\) 20.4904 + 6.83013i 1.16378 + 0.387925i
\(311\) 15.2583 4.08846i 0.865221 0.231835i 0.201201 0.979550i \(-0.435516\pi\)
0.664020 + 0.747715i \(0.268849\pi\)
\(312\) 4.59808 1.23205i 0.260315 0.0697511i
\(313\) −15.1244 8.73205i −0.854879 0.493565i 0.00741498 0.999973i \(-0.497640\pi\)
−0.862294 + 0.506408i \(0.830973\pi\)
\(314\) −19.6244 5.25833i −1.10747 0.296745i
\(315\) 0.928203 + 4.53590i 0.0522983 + 0.255569i
\(316\) −6.83013 + 1.83013i −0.384225 + 0.102953i
\(317\) 7.18653 + 26.8205i 0.403636 + 1.50639i 0.806558 + 0.591155i \(0.201328\pi\)
−0.402922 + 0.915234i \(0.632005\pi\)
\(318\) 8.42820 + 4.86603i 0.472630 + 0.272873i
\(319\) 9.46410 + 9.46410i 0.529888 + 0.529888i
\(320\) 1.23205 1.86603i 0.0688737 0.104314i
\(321\) −23.2583 13.4282i −1.29815 0.749489i
\(322\) −12.0000 12.0000i −0.668734 0.668734i
\(323\) −27.6603 27.6603i −1.53906 1.53906i
\(324\) 5.33013 9.23205i 0.296118 0.512892i
\(325\) 9.85641 + 7.39230i 0.546735 + 0.410051i
\(326\) −3.06218 + 1.76795i −0.169598 + 0.0979176i
\(327\) 2.00000i 0.110600i
\(328\) 3.23205 + 5.59808i 0.178460 + 0.309102i
\(329\) 21.4641 12.3923i 1.18335 0.683210i
\(330\) 8.46410 1.73205i 0.465933 0.0953463i
\(331\) 0.830127 + 3.09808i 0.0456279 + 0.170286i 0.984980 0.172669i \(-0.0552390\pi\)
−0.939352 + 0.342954i \(0.888572\pi\)
\(332\) −11.3923 + 11.3923i −0.625234 + 0.625234i
\(333\) −3.66025 + 2.53590i −0.200581 + 0.138966i
\(334\) 20.7321i 1.13441i
\(335\) −9.29423 + 8.24167i −0.507798 + 0.450291i
\(336\) −4.73205 + 2.73205i −0.258155 + 0.149046i
\(337\) 7.56218 + 2.02628i 0.411938 + 0.110378i 0.458835 0.888521i \(-0.348267\pi\)
−0.0468974 + 0.998900i \(0.514933\pi\)
\(338\) 6.00000 3.46410i 0.326357 0.188422i
\(339\) 8.19615 + 8.19615i 0.445154 + 0.445154i
\(340\) 7.63397 11.5622i 0.414010 0.627047i
\(341\) −13.6603 + 13.6603i −0.739744 + 0.739744i
\(342\) −4.46410 + 1.19615i −0.241391 + 0.0646805i
\(343\) −12.0000 + 12.0000i −0.647939 + 0.647939i
\(344\) 11.0000 0.593080
\(345\) 19.3923 17.1962i 1.04405 0.925810i
\(346\) −23.4904 6.29423i −1.26285 0.338380i
\(347\) 19.8564i 1.06595i 0.846132 + 0.532974i \(0.178926\pi\)
−0.846132 + 0.532974i \(0.821074\pi\)
\(348\) 6.46410 11.1962i 0.346512 0.600177i
\(349\) −31.0981 17.9545i −1.66464 0.961081i −0.970454 0.241288i \(-0.922430\pi\)
−0.694188 0.719793i \(-0.744236\pi\)
\(350\) −13.1244 5.26795i −0.701526 0.281584i
\(351\) −2.79423 + 10.4282i −0.149145 + 0.556616i
\(352\) 1.00000 + 1.73205i 0.0533002 + 0.0923186i
\(353\) −16.3923 + 28.3923i −0.872474 + 1.51117i −0.0130453 + 0.999915i \(0.504153\pi\)
−0.859429 + 0.511255i \(0.829181\pi\)
\(354\) 3.09808 5.36603i 0.164661 0.285201i
\(355\) −6.53590 0.392305i −0.346889 0.0208214i
\(356\) 1.19615 1.19615i 0.0633960 0.0633960i
\(357\) −29.3205 + 16.9282i −1.55181 + 0.895936i
\(358\) 14.1962 3.80385i 0.750290 0.201040i
\(359\) 3.39230i 0.179039i 0.995985 + 0.0895195i \(0.0285331\pi\)
−0.995985 + 0.0895195i \(0.971467\pi\)
\(360\) −0.732051 1.46410i −0.0385825 0.0771649i
\(361\) −18.0622 10.4282i −0.950641 0.548853i
\(362\) 13.8038i 0.725514i
\(363\) 3.50000 13.0622i 0.183702 0.685587i
\(364\) 4.92820 4.92820i 0.258308 0.258308i
\(365\) 0 0
\(366\) 1.73205 + 3.00000i 0.0905357 + 0.156813i
\(367\) −9.32051 + 34.7846i −0.486527 + 1.81574i 0.0865595 + 0.996247i \(0.472413\pi\)
−0.573086 + 0.819495i \(0.694254\pi\)
\(368\) 5.19615 + 3.00000i 0.270868 + 0.156386i
\(369\) 4.73205 0.246341
\(370\) −0.303848 13.5981i −0.0157963 0.706930i
\(371\) 14.2487 0.739756
\(372\) 16.1603 + 9.33013i 0.837870 + 0.483745i
\(373\) 1.37564 5.13397i 0.0712282 0.265827i −0.921123 0.389271i \(-0.872727\pi\)
0.992352 + 0.123443i \(0.0393938\pi\)
\(374\) 6.19615 + 10.7321i 0.320395 + 0.554941i
\(375\) 9.23205 19.5263i 0.476741 1.00833i
\(376\) −6.19615 + 6.19615i −0.319542 + 0.319542i
\(377\) −4.26795 + 15.9282i −0.219811 + 0.820344i
\(378\) 12.3923i 0.637391i
\(379\) 12.5885 + 7.26795i 0.646626 + 0.373329i 0.787162 0.616746i \(-0.211549\pi\)
−0.140537 + 0.990075i \(0.544883\pi\)
\(380\) 4.46410 13.3923i 0.229004 0.687011i
\(381\) 17.6603i 0.904762i
\(382\) 2.50000 0.669873i 0.127911 0.0342737i
\(383\) 13.3923 7.73205i 0.684315 0.395089i −0.117164 0.993113i \(-0.537380\pi\)
0.801479 + 0.598023i \(0.204047\pi\)
\(384\) 1.36603 1.36603i 0.0697097 0.0697097i
\(385\) 9.46410 8.39230i 0.482335 0.427711i
\(386\) 0.169873 0.294229i 0.00864631 0.0149758i
\(387\) 4.02628 6.97372i 0.204667 0.354494i
\(388\) −0.732051 1.26795i −0.0371642 0.0643704i
\(389\) 0.901924 3.36603i 0.0457294 0.170664i −0.939285 0.343139i \(-0.888510\pi\)
0.985014 + 0.172475i \(0.0551764\pi\)
\(390\) 7.06218 + 7.96410i 0.357607 + 0.403278i
\(391\) 32.1962 + 18.5885i 1.62823 + 0.940059i
\(392\) −0.500000 + 0.866025i −0.0252538 + 0.0437409i
\(393\) 1.46410i 0.0738542i
\(394\) −7.86603 2.10770i −0.396285 0.106184i
\(395\) −10.4904 11.8301i −0.527828 0.595238i
\(396\) 1.46410 0.0735739
\(397\) −2.24167 + 2.24167i −0.112506 + 0.112506i −0.761119 0.648613i \(-0.775350\pi\)
0.648613 + 0.761119i \(0.275350\pi\)
\(398\) −20.1603 + 5.40192i −1.01054 + 0.270774i
\(399\) −24.3923 + 24.3923i −1.22114 + 1.22114i
\(400\) 4.96410 + 0.598076i 0.248205 + 0.0299038i
\(401\) −16.1244 16.1244i −0.805212 0.805212i 0.178693 0.983905i \(-0.442813\pi\)
−0.983905 + 0.178693i \(0.942813\pi\)
\(402\) −9.29423 + 5.36603i −0.463554 + 0.267633i
\(403\) −22.9904 6.16025i −1.14523 0.306864i
\(404\) −0.169873 + 0.0980762i −0.00845150 + 0.00487947i
\(405\) 23.7942 + 1.42820i 1.18234 + 0.0709680i
\(406\) 18.9282i 0.939391i
\(407\) 11.0000 + 5.19615i 0.545250 + 0.257564i
\(408\) 8.46410 8.46410i 0.419035 0.419035i
\(409\) −7.10770 26.5263i −0.351453 1.31164i −0.884890 0.465800i \(-0.845767\pi\)
0.533437 0.845840i \(-0.320900\pi\)
\(410\) −7.96410 + 12.0622i −0.393319 + 0.595709i
\(411\) 4.73205 2.73205i 0.233415 0.134762i
\(412\) −3.09808 5.36603i −0.152631 0.264365i
\(413\) 9.07180i 0.446394i
\(414\) 3.80385 2.19615i 0.186949 0.107935i
\(415\) −34.1769 11.3923i −1.67768 0.559226i
\(416\) −1.23205 + 2.13397i −0.0604063 + 0.104627i
\(417\) −14.9282 14.9282i −0.731037 0.731037i
\(418\) 8.92820 + 8.92820i 0.436693 + 0.436693i
\(419\) 12.4186 + 7.16987i 0.606688 + 0.350271i 0.771668 0.636026i \(-0.219423\pi\)
−0.164980 + 0.986297i \(0.552756\pi\)
\(420\) −10.1962 6.73205i −0.497521 0.328490i
\(421\) −8.66025 8.66025i −0.422075 0.422075i 0.463843 0.885918i \(-0.346470\pi\)
−0.885918 + 0.463843i \(0.846470\pi\)
\(422\) −3.46410 2.00000i −0.168630 0.0973585i
\(423\) 1.66025 + 6.19615i 0.0807243 + 0.301267i
\(424\) −4.86603 + 1.30385i −0.236315 + 0.0633204i
\(425\) 30.7583 + 3.70577i 1.49200 + 0.179756i
\(426\) −5.46410 1.46410i −0.264737 0.0709360i
\(427\) 4.39230 + 2.53590i 0.212559 + 0.122721i
\(428\) 13.4282 3.59808i 0.649077 0.173920i
\(429\) −9.19615 + 2.46410i −0.443994 + 0.118968i
\(430\) 11.0000 + 22.0000i 0.530467 + 1.06093i
\(431\) −4.10770 + 15.3301i −0.197861 + 0.738426i 0.793647 + 0.608379i \(0.208180\pi\)
−0.991508 + 0.130048i \(0.958487\pi\)
\(432\) 1.13397 + 4.23205i 0.0545584 + 0.203615i
\(433\) 3.19615 3.19615i 0.153597 0.153597i −0.626125 0.779723i \(-0.715360\pi\)
0.779723 + 0.626125i \(0.215360\pi\)
\(434\) 27.3205 1.31143
\(435\) 28.8564 + 1.73205i 1.38356 + 0.0830455i
\(436\) 0.732051 + 0.732051i 0.0350589 + 0.0350589i
\(437\) 36.5885 + 9.80385i 1.75026 + 0.468982i
\(438\) 0 0
\(439\) 0.866025 + 0.232051i 0.0413331 + 0.0110752i 0.279426 0.960167i \(-0.409856\pi\)
−0.238093 + 0.971242i \(0.576522\pi\)
\(440\) −2.46410 + 3.73205i −0.117471 + 0.177919i
\(441\) 0.366025 + 0.633975i 0.0174298 + 0.0301893i
\(442\) −7.63397 + 13.2224i −0.363111 + 0.628927i
\(443\) 18.7583 + 18.7583i 0.891235 + 0.891235i 0.994639 0.103404i \(-0.0329735\pi\)
−0.103404 + 0.994639i \(0.532974\pi\)
\(444\) 2.09808 11.5622i 0.0995703 0.548717i
\(445\) 3.58846 + 1.19615i 0.170109 + 0.0567031i
\(446\) 17.6603 4.73205i 0.836237 0.224069i
\(447\) −42.4186 11.3660i −2.00633 0.537595i
\(448\) 0.732051 2.73205i 0.0345861 0.129077i
\(449\) −0.428203 + 1.59808i −0.0202082 + 0.0754179i −0.975294 0.220913i \(-0.929096\pi\)
0.955085 + 0.296331i \(0.0957630\pi\)
\(450\) 2.19615 2.92820i 0.103528 0.138037i
\(451\) −6.46410 11.1962i −0.304383 0.527206i
\(452\) −6.00000 −0.282216
\(453\) 1.59808 + 5.96410i 0.0750842 + 0.280218i
\(454\) 2.66025i 0.124852i
\(455\) 14.7846 + 4.92820i 0.693113 + 0.231038i
\(456\) 6.09808 10.5622i 0.285569 0.494619i
\(457\) −13.3923 23.1962i −0.626466 1.08507i −0.988255 0.152811i \(-0.951168\pi\)
0.361790 0.932260i \(-0.382166\pi\)
\(458\) −17.6603 −0.825209
\(459\) 7.02628 + 26.2224i 0.327959 + 1.22396i
\(460\) −0.803848 + 13.3923i −0.0374796 + 0.624419i
\(461\) −4.53590 16.9282i −0.211258 0.788425i −0.987450 0.157929i \(-0.949518\pi\)
0.776193 0.630496i \(-0.217148\pi\)
\(462\) 9.46410 5.46410i 0.440310 0.254213i
\(463\) −7.22243 + 4.16987i −0.335655 + 0.193790i −0.658349 0.752713i \(-0.728745\pi\)
0.322694 + 0.946503i \(0.395412\pi\)
\(464\) 1.73205 + 6.46410i 0.0804084 + 0.300088i
\(465\) −2.50000 + 41.6506i −0.115935 + 1.93150i
\(466\) 5.80385 + 21.6603i 0.268858 + 1.00339i
\(467\) 29.9282 1.38491 0.692456 0.721460i \(-0.256529\pi\)
0.692456 + 0.721460i \(0.256529\pi\)
\(468\) 0.901924 + 1.56218i 0.0416914 + 0.0722117i
\(469\) −7.85641 + 13.6077i −0.362775 + 0.628345i
\(470\) −18.5885 6.19615i −0.857422 0.285807i
\(471\) 39.2487i 1.80849i
\(472\) 0.830127 + 3.09808i 0.0382097 + 0.142601i
\(473\) −22.0000 −1.01156
\(474\) −6.83013 11.8301i −0.313718 0.543376i
\(475\) 31.2487 4.46410i 1.43379 0.204827i
\(476\) 4.53590 16.9282i 0.207903 0.775903i
\(477\) −0.954483 + 3.56218i −0.0437028 + 0.163101i
\(478\) −14.8301 3.97372i −0.678314 0.181754i
\(479\) −3.96410 + 1.06218i −0.181124 + 0.0485321i −0.348241 0.937405i \(-0.613221\pi\)
0.167117 + 0.985937i \(0.446554\pi\)
\(480\) 4.09808 + 1.36603i 0.187051 + 0.0623502i
\(481\) 1.23205 + 14.9378i 0.0561767 + 0.681106i
\(482\) −13.1962 13.1962i −0.601068 0.601068i
\(483\) 16.3923 28.3923i 0.745876 1.29189i
\(484\) 3.50000 + 6.06218i 0.159091 + 0.275554i
\(485\) 1.80385 2.73205i 0.0819085 0.124056i
\(486\) 7.19615 + 1.92820i 0.326424 + 0.0874651i
\(487\) 41.4641 1.87892 0.939459 0.342662i \(-0.111328\pi\)
0.939459 + 0.342662i \(0.111328\pi\)
\(488\) −1.73205 0.464102i −0.0784063 0.0210089i
\(489\) −4.83013 4.83013i −0.218426 0.218426i
\(490\) −2.23205 0.133975i −0.100834 0.00605236i
\(491\) −8.19615 −0.369887 −0.184944 0.982749i \(-0.559210\pi\)
−0.184944 + 0.982749i \(0.559210\pi\)
\(492\) −8.83013 + 8.83013i −0.398093 + 0.398093i
\(493\) 10.7321 + 40.0526i 0.483347 + 1.80388i
\(494\) −4.02628 + 15.0263i −0.181151 + 0.676064i
\(495\) 1.46410 + 2.92820i 0.0658065 + 0.131613i
\(496\) −9.33013 + 2.50000i −0.418935 + 0.112253i
\(497\) −8.00000 + 2.14359i −0.358849 + 0.0961533i
\(498\) −26.9545 15.5622i −1.20786 0.697358i
\(499\) −15.1962 4.07180i −0.680273 0.182279i −0.0978952 0.995197i \(-0.531211\pi\)
−0.582378 + 0.812918i \(0.697878\pi\)
\(500\) 3.76795 + 10.5263i 0.168508 + 0.470750i
\(501\) 38.6865 10.3660i 1.72839 0.463120i
\(502\) −2.09808 7.83013i −0.0936417 0.349476i
\(503\) −2.49038 1.43782i −0.111041 0.0641093i 0.443451 0.896299i \(-0.353754\pi\)
−0.554492 + 0.832189i \(0.687087\pi\)
\(504\) −1.46410 1.46410i −0.0652163 0.0652163i
\(505\) −0.366025 0.241670i −0.0162879 0.0107542i
\(506\) −10.3923 6.00000i −0.461994 0.266733i
\(507\) 9.46410 + 9.46410i 0.420316 + 0.420316i
\(508\) −6.46410 6.46410i −0.286798 0.286798i
\(509\) 5.07180 8.78461i 0.224803 0.389371i −0.731457 0.681888i \(-0.761159\pi\)
0.956260 + 0.292517i \(0.0944927\pi\)
\(510\) 25.3923 + 8.46410i 1.12439 + 0.374797i
\(511\) 0 0
\(512\) 1.00000i 0.0441942i
\(513\) 13.8301 + 23.9545i 0.610615 + 1.05762i
\(514\) 0.294229 0.169873i 0.0129779 0.00749278i
\(515\) 7.63397 11.5622i 0.336393 0.509490i
\(516\) 5.50000 + 20.5263i 0.242124 + 0.903619i
\(517\) 12.3923 12.3923i 0.545013 0.545013i
\(518\) −5.80385 16.1962i −0.255006 0.711618i
\(519\) 46.9808i 2.06223i
\(520\) −5.50000 0.330127i −0.241191 0.0144770i
\(521\) −17.0885 + 9.86603i −0.748659 + 0.432238i −0.825209 0.564827i \(-0.808943\pi\)
0.0765502 + 0.997066i \(0.475609\pi\)
\(522\) 4.73205 + 1.26795i 0.207116 + 0.0554966i
\(523\) −16.6244 + 9.59808i −0.726932 + 0.419695i −0.817299 0.576214i \(-0.804529\pi\)
0.0903665 + 0.995909i \(0.471196\pi\)
\(524\) 0.535898 + 0.535898i 0.0234108 + 0.0234108i
\(525\) 3.26795 27.1244i 0.142625 1.18380i
\(526\) 0.0717968 0.0717968i 0.00313049 0.00313049i
\(527\) −57.8109 + 15.4904i −2.51828 + 0.674772i
\(528\) −2.73205 + 2.73205i −0.118897 + 0.118897i
\(529\) −13.0000 −0.565217
\(530\) −7.47372 8.42820i −0.324638 0.366098i
\(531\) 2.26795 + 0.607695i 0.0984206 + 0.0263717i
\(532\) 17.8564i 0.774173i
\(533\) 7.96410 13.7942i 0.344964 0.597494i
\(534\) 2.83013 + 1.63397i 0.122472 + 0.0707090i
\(535\) 20.6244 + 23.2583i 0.891669 + 1.00555i
\(536\) 1.43782 5.36603i 0.0621045 0.231777i
\(537\) 14.1962 + 24.5885i 0.612609 + 1.06107i
\(538\) −3.29423 + 5.70577i −0.142024 + 0.245993i
\(539\) 1.00000 1.73205i 0.0430730 0.0746047i
\(540\) −7.33013 + 6.50000i −0.315438 + 0.279715i
\(541\) 5.07180 5.07180i 0.218054 0.218054i −0.589624 0.807678i \(-0.700724\pi\)
0.807678 + 0.589624i \(0.200724\pi\)
\(542\) −9.06218 + 5.23205i −0.389254 + 0.224736i
\(543\) 25.7583 6.90192i 1.10540 0.296190i
\(544\) 6.19615i 0.265658i
\(545\) −0.732051 + 2.19615i −0.0313576 + 0.0940728i
\(546\) 11.6603 + 6.73205i 0.499013 + 0.288105i
\(547\) 17.9808i 0.768802i 0.923166 + 0.384401i \(0.125592\pi\)
−0.923166 + 0.384401i \(0.874408\pi\)
\(548\) −0.732051 + 2.73205i −0.0312717 + 0.116707i
\(549\) −0.928203 + 0.928203i −0.0396147 + 0.0396147i
\(550\) −9.92820 1.19615i −0.423340 0.0510041i
\(551\) 21.1244 + 36.5885i 0.899928 + 1.55872i
\(552\) −3.00000 + 11.1962i −0.127688 + 0.476540i
\(553\) −17.3205 10.0000i −0.736543 0.425243i
\(554\) 16.6603 0.707826
\(555\) 25.2224 7.36603i 1.07063 0.312670i
\(556\) 10.9282 0.463459
\(557\) 32.3827 + 18.6962i 1.37210 + 0.792181i 0.991192 0.132432i \(-0.0422787\pi\)
0.380906 + 0.924614i \(0.375612\pi\)
\(558\) −1.83013 + 6.83013i −0.0774755 + 0.289142i
\(559\) −13.5526 23.4737i −0.573212 0.992833i
\(560\) 6.19615 1.26795i 0.261835 0.0535806i
\(561\) −16.9282 + 16.9282i −0.714709 + 0.714709i
\(562\) −0.624356 + 2.33013i −0.0263369 + 0.0982905i
\(563\) 15.6077i 0.657786i −0.944367 0.328893i \(-0.893324\pi\)
0.944367 0.328893i \(-0.106676\pi\)
\(564\) −14.6603 8.46410i −0.617308 0.356403i
\(565\) −6.00000 12.0000i −0.252422 0.504844i
\(566\) 13.0000i 0.546431i
\(567\) 29.1244 7.80385i 1.22311 0.327731i
\(568\) 2.53590 1.46410i 0.106404 0.0614323i
\(569\) −16.3660 + 16.3660i −0.686099 + 0.686099i −0.961368 0.275268i \(-0.911233\pi\)
0.275268 + 0.961368i \(0.411233\pi\)
\(570\) 27.2224 + 1.63397i 1.14022 + 0.0684397i
\(571\) 20.7583 35.9545i 0.868709 1.50465i 0.00539254 0.999985i \(-0.498283\pi\)
0.863317 0.504663i \(-0.168383\pi\)
\(572\) 2.46410 4.26795i 0.103029 0.178452i
\(573\) 2.50000 + 4.33013i 0.104439 + 0.180894i
\(574\) −4.73205 + 17.6603i −0.197512 + 0.737125i
\(575\) −27.5885 + 11.7846i −1.15052 + 0.491452i
\(576\) 0.633975 + 0.366025i 0.0264156 + 0.0152511i
\(577\) −2.53590 + 4.39230i −0.105571 + 0.182854i −0.913971 0.405779i \(-0.867000\pi\)
0.808400 + 0.588633i \(0.200334\pi\)
\(578\) 21.3923i 0.889803i
\(579\) 0.633975 + 0.169873i 0.0263471 + 0.00705968i
\(580\) −11.1962 + 9.92820i −0.464895 + 0.412246i
\(581\) −45.5692 −1.89053
\(582\) 2.00000 2.00000i 0.0829027 0.0829027i
\(583\) 9.73205 2.60770i 0.403060 0.108000i
\(584\) 0 0
\(585\) −2.22243 + 3.36603i −0.0918862 + 0.139168i
\(586\) 2.29423 + 2.29423i 0.0947737 + 0.0947737i
\(587\) −12.4019 + 7.16025i −0.511882 + 0.295535i −0.733607 0.679574i \(-0.762165\pi\)
0.221725 + 0.975109i \(0.428831\pi\)
\(588\) −1.86603 0.500000i −0.0769536 0.0206197i
\(589\) −52.8109 + 30.4904i −2.17603 + 1.25633i
\(590\) −5.36603 + 4.75833i −0.220916 + 0.195897i
\(591\) 15.7321i 0.647130i
\(592\) 3.46410 + 5.00000i 0.142374 + 0.205499i
\(593\) −18.6603 + 18.6603i −0.766285 + 0.766285i −0.977450 0.211166i \(-0.932274\pi\)
0.211166 + 0.977450i \(0.432274\pi\)
\(594\) −2.26795 8.46410i −0.0930551 0.347286i
\(595\) 38.3923 7.85641i 1.57393 0.322081i
\(596\) 19.6865 11.3660i 0.806392 0.465571i
\(597\) −20.1603 34.9186i −0.825104 1.42912i
\(598\) 14.7846i 0.604588i
\(599\) −39.6051 + 22.8660i −1.61822 + 0.934280i −0.630841 + 0.775912i \(0.717290\pi\)
−0.987380 + 0.158368i \(0.949377\pi\)
\(600\) 1.36603 + 9.56218i 0.0557678 + 0.390374i
\(601\) 13.7942 23.8923i 0.562678 0.974587i −0.434583 0.900632i \(-0.643104\pi\)
0.997262 0.0739558i \(-0.0235624\pi\)
\(602\) 22.0000 + 22.0000i 0.896653 + 0.896653i
\(603\) −2.87564 2.87564i −0.117105 0.117105i
\(604\) −2.76795 1.59808i −0.112626 0.0650248i
\(605\) −8.62436 + 13.0622i −0.350630 + 0.531053i
\(606\) −0.267949 0.267949i −0.0108847 0.0108847i
\(607\) −12.1699 7.02628i −0.493960 0.285188i 0.232256 0.972655i \(-0.425389\pi\)
−0.726216 + 0.687467i \(0.758723\pi\)
\(608\) 1.63397 + 6.09808i 0.0662664 + 0.247310i
\(609\) 35.3205 9.46410i 1.43126 0.383505i
\(610\) −0.803848 3.92820i −0.0325468 0.159048i
\(611\) 20.8564 + 5.58846i 0.843760 + 0.226085i
\(612\) 3.92820 + 2.26795i 0.158788 + 0.0916764i
\(613\) 28.4186 7.61474i 1.14782 0.307556i 0.365726 0.930722i \(-0.380821\pi\)
0.782089 + 0.623166i \(0.214154\pi\)
\(614\) −21.0622 + 5.64359i −0.850000 + 0.227757i
\(615\) −26.4904 8.83013i −1.06820 0.356065i
\(616\) −1.46410 + 5.46410i −0.0589903 + 0.220155i
\(617\) −6.41858 23.9545i −0.258402 0.964371i −0.966166 0.257922i \(-0.916962\pi\)
0.707763 0.706450i \(-0.249704\pi\)
\(618\) 8.46410 8.46410i 0.340476 0.340476i
\(619\) −13.0718 −0.525400 −0.262700 0.964878i \(-0.584613\pi\)
−0.262700 + 0.964878i \(0.584613\pi\)
\(620\) −14.3301 16.1603i −0.575512 0.649011i
\(621\) −18.5885 18.5885i −0.745929 0.745929i
\(622\) −15.2583 4.08846i −0.611803 0.163932i
\(623\) 4.78461 0.191691
\(624\) −4.59808 1.23205i −0.184070 0.0493215i
\(625\) −17.2846 + 18.0622i −0.691384 + 0.722487i
\(626\) 8.73205 + 15.1244i 0.349003 + 0.604491i
\(627\) −12.1962 + 21.1244i −0.487067 + 0.843626i
\(628\) 14.3660 + 14.3660i 0.573267 + 0.573267i
\(629\) 21.4641 + 30.9808i 0.855830 + 1.23528i
\(630\) 1.46410 4.39230i 0.0583312 0.174994i
\(631\) −5.06218 + 1.35641i −0.201522 + 0.0539977i −0.358168 0.933657i \(-0.616599\pi\)
0.156646 + 0.987655i \(0.449932\pi\)
\(632\) 6.83013 + 1.83013i 0.271688 + 0.0727985i
\(633\) 2.00000 7.46410i 0.0794929 0.296671i
\(634\) 7.18653 26.8205i 0.285414 1.06518i
\(635\) 6.46410 19.3923i 0.256520 0.769560i
\(636\) −4.86603 8.42820i −0.192950 0.334200i
\(637\) 2.46410 0.0976313
\(638\) −3.46410 12.9282i −0.137145 0.511832i
\(639\) 2.14359i 0.0847992i
\(640\) −2.00000 + 1.00000i −0.0790569 + 0.0395285i
\(641\) −21.9904 + 38.0885i −0.868568 + 1.50440i −0.00510745 + 0.999987i \(0.501626\pi\)
−0.863460 + 0.504417i \(0.831708\pi\)
\(642\) 13.4282 + 23.2583i 0.529969 + 0.917933i
\(643\) −3.73205 −0.147178 −0.0735889 0.997289i \(-0.523445\pi\)
−0.0735889 + 0.997289i \(0.523445\pi\)
\(644\) 4.39230 + 16.3923i 0.173081 + 0.645947i
\(645\) −35.5526 + 31.5263i −1.39988 + 1.24135i
\(646\) 10.1244 + 37.7846i 0.398337 + 1.48662i
\(647\) 33.2942 19.2224i 1.30893 0.755712i 0.327013 0.945020i \(-0.393958\pi\)
0.981918 + 0.189308i \(0.0606244\pi\)
\(648\) −9.23205 + 5.33013i −0.362669 + 0.209387i
\(649\) −1.66025 6.19615i −0.0651707 0.243220i
\(650\) −4.83975 11.3301i −0.189830 0.444404i
\(651\) 13.6603 + 50.9808i 0.535388 + 1.99809i
\(652\) 3.53590 0.138476
\(653\) 7.62436 + 13.2058i 0.298364 + 0.516782i 0.975762 0.218835i \(-0.0702257\pi\)
−0.677398 + 0.735617i \(0.736892\pi\)
\(654\) −1.00000 + 1.73205i −0.0391031 + 0.0677285i
\(655\) −0.535898 + 1.60770i −0.0209393 + 0.0628178i
\(656\) 6.46410i 0.252381i
\(657\) 0 0
\(658\) −24.7846 −0.966205
\(659\) 20.3923 + 35.3205i 0.794371 + 1.37589i 0.923238 + 0.384230i \(0.125533\pi\)
−0.128866 + 0.991662i \(0.541134\pi\)
\(660\) −8.19615 2.73205i −0.319035 0.106345i
\(661\) 6.41858 23.9545i 0.249654 0.931721i −0.721333 0.692589i \(-0.756470\pi\)
0.970987 0.239133i \(-0.0768631\pi\)
\(662\) 0.830127 3.09808i 0.0322638 0.120410i
\(663\) −28.4904 7.63397i −1.10647 0.296479i
\(664\) 15.5622 4.16987i 0.603930 0.161822i
\(665\) 35.7128 17.8564i 1.38488 0.692442i
\(666\) 4.43782 0.366025i 0.171962 0.0141832i
\(667\) −28.3923 28.3923i −1.09935 1.09935i
\(668\) −10.3660 + 17.9545i −0.401074 + 0.694680i
\(669\) 17.6603 + 30.5885i 0.682785 + 1.18262i
\(670\) 12.1699 2.49038i 0.470163 0.0962118i
\(671\) 3.46410 + 0.928203i 0.133730 + 0.0358329i
\(672\) 5.46410 0.210782
\(673\) 30.4904 + 8.16987i 1.17532 + 0.314925i 0.793068 0.609133i \(-0.208483\pi\)
0.382250 + 0.924059i \(0.375149\pi\)
\(674\) −5.53590 5.53590i −0.213235 0.213235i
\(675\) −20.3301 8.16025i −0.782507 0.314088i
\(676\) −6.92820 −0.266469
\(677\) −11.3923 + 11.3923i −0.437842 + 0.437842i −0.891285 0.453443i \(-0.850195\pi\)
0.453443 + 0.891285i \(0.350195\pi\)
\(678\) −3.00000 11.1962i −0.115214 0.429986i
\(679\) 1.07180 4.00000i 0.0411318 0.153506i
\(680\) −12.3923 + 6.19615i −0.475223 + 0.237612i
\(681\) −4.96410 + 1.33013i −0.190225 + 0.0509706i
\(682\) 18.6603 5.00000i 0.714538 0.191460i
\(683\) 11.5981 + 6.69615i 0.443788 + 0.256221i 0.705203 0.709005i \(-0.250856\pi\)
−0.261415 + 0.965226i \(0.584189\pi\)
\(684\) 4.46410 + 1.19615i 0.170689 + 0.0457360i
\(685\) −6.19615 + 1.26795i −0.236743 + 0.0484458i
\(686\) 16.3923 4.39230i 0.625861 0.167699i
\(687\) −8.83013 32.9545i −0.336890 1.25729i
\(688\) −9.52628 5.50000i −0.363186 0.209686i
\(689\) 8.77757 + 8.77757i 0.334399 + 0.334399i
\(690\) −25.3923 + 5.19615i −0.966669 + 0.197814i
\(691\) 24.7583 + 14.2942i 0.941851 + 0.543778i 0.890540 0.454905i \(-0.150327\pi\)
0.0513111 + 0.998683i \(0.483660\pi\)
\(692\) 17.1962 + 17.1962i 0.653700 + 0.653700i
\(693\) 2.92820 + 2.92820i 0.111233 + 0.111233i
\(694\) 9.92820 17.1962i 0.376869 0.652757i
\(695\) 10.9282 + 21.8564i 0.414530 + 0.829061i
\(696\) −11.1962 + 6.46410i −0.424389 + 0.245021i
\(697\) 40.0526i 1.51710i
\(698\) 17.9545 + 31.0981i 0.679587 + 1.17708i
\(699\) −37.5167 + 21.6603i −1.41901 + 0.819266i
\(700\) 8.73205 + 11.1244i 0.330040 + 0.420461i
\(701\) −1.50962 5.63397i −0.0570175 0.212792i 0.931539 0.363640i \(-0.118466\pi\)
−0.988557 + 0.150848i \(0.951800\pi\)
\(702\) 7.63397 7.63397i 0.288126 0.288126i
\(703\) 29.2942 + 24.8301i 1.10485 + 0.936486i
\(704\) 2.00000i 0.0753778i
\(705\) 2.26795 37.7846i 0.0854159 1.42305i
\(706\) 28.3923 16.3923i 1.06856 0.616933i
\(707\) −0.535898 0.143594i −0.0201545 0.00540039i
\(708\) −5.36603 + 3.09808i −0.201668 + 0.116433i
\(709\) −20.0718 20.0718i −0.753812 0.753812i 0.221376 0.975188i \(-0.428945\pi\)
−0.975188 + 0.221376i \(0.928945\pi\)
\(710\) 5.46410 + 3.60770i 0.205064 + 0.135394i
\(711\) 3.66025 3.66025i 0.137270 0.137270i
\(712\) −1.63397 + 0.437822i −0.0612358 + 0.0164081i
\(713\) 40.9808 40.9808i 1.53474 1.53474i
\(714\) 33.8564 1.26704
\(715\) 11.0000 + 0.660254i 0.411377 + 0.0246921i
\(716\) −14.1962 3.80385i −0.530535 0.142156i
\(717\) 29.6603i 1.10768i
\(718\) 1.69615 2.93782i 0.0632998 0.109639i
\(719\) −44.4282 25.6506i −1.65689 0.956607i −0.974136 0.225961i \(-0.927448\pi\)
−0.682756 0.730646i \(-0.739219\pi\)
\(720\) −0.0980762 + 1.63397i −0.00365508 + 0.0608946i
\(721\) 4.53590 16.9282i 0.168926 0.630439i
\(722\) 10.4282 + 18.0622i 0.388098 + 0.672205i
\(723\) 18.0263 31.2224i 0.670405 1.16117i
\(724\) −6.90192 + 11.9545i −0.256508 + 0.444285i
\(725\) −31.0526 12.4641i −1.15326 0.462905i
\(726\) −9.56218 + 9.56218i −0.354886 + 0.354886i
\(727\) 35.1962 20.3205i 1.30535 0.753646i 0.324036 0.946045i \(-0.394960\pi\)
0.981317 + 0.192399i \(0.0616267\pi\)
\(728\) −6.73205 + 1.80385i −0.249506 + 0.0668550i
\(729\) 17.5885i 0.651424i
\(730\) 0 0
\(731\) −59.0263 34.0788i −2.18317 1.26045i
\(732\) 3.46410i 0.128037i
\(733\) −11.2224 + 41.8827i −0.414510 + 1.54697i 0.371305 + 0.928511i \(0.378910\pi\)
−0.785815 + 0.618461i \(0.787756\pi\)
\(734\) 25.4641 25.4641i 0.939897 0.939897i
\(735\) −0.866025 4.23205i −0.0319438 0.156102i
\(736\) −3.00000 5.19615i −0.110581 0.191533i
\(737\) −2.87564 + 10.7321i −0.105926 + 0.395320i
\(738\) −4.09808 2.36603i −0.150852 0.0870946i
\(739\) 18.1962 0.669356 0.334678 0.942332i \(-0.391372\pi\)
0.334678 + 0.942332i \(0.391372\pi\)
\(740\) −6.53590 + 11.9282i −0.240264 + 0.438489i
\(741\) −30.0526 −1.10401
\(742\) −12.3397 7.12436i −0.453006 0.261543i
\(743\) −7.50962 + 28.0263i −0.275501 + 1.02818i 0.680004 + 0.733209i \(0.261978\pi\)
−0.955505 + 0.294976i \(0.904688\pi\)
\(744\) −9.33013 16.1603i −0.342059 0.592464i
\(745\) 42.4186 + 28.0070i 1.55410 + 1.02610i
\(746\) −3.75833 + 3.75833i −0.137602 + 0.137602i
\(747\) 3.05256 11.3923i 0.111687 0.416823i
\(748\) 12.3923i 0.453108i
\(749\) 34.0526 + 19.6603i 1.24425 + 0.718370i
\(750\) −17.7583 + 12.2942i −0.648443 + 0.448922i
\(751\) 30.1769i 1.10117i −0.834779 0.550586i \(-0.814404\pi\)
0.834779 0.550586i \(-0.185596\pi\)
\(752\) 8.46410 2.26795i 0.308654 0.0827036i
\(753\) 13.5622 7.83013i 0.494233 0.285346i
\(754\) 11.6603 11.6603i 0.424641 0.424641i
\(755\) 0.428203 7.13397i 0.0155839 0.259632i
\(756\) −6.19615 + 10.7321i −0.225352 + 0.390321i
\(757\) −8.50000 + 14.7224i −0.308938 + 0.535096i −0.978130 0.207993i \(-0.933307\pi\)
0.669193 + 0.743089i \(0.266640\pi\)
\(758\) −7.26795 12.5885i −0.263984 0.457233i
\(759\) 6.00000 22.3923i 0.217786 0.812789i
\(760\) −10.5622 + 9.36603i −0.383130 + 0.339741i
\(761\) −2.53590 1.46410i −0.0919262 0.0530736i 0.453332 0.891342i \(-0.350235\pi\)
−0.545258 + 0.838268i \(0.683568\pi\)
\(762\) 8.83013 15.2942i 0.319882 0.554051i
\(763\) 2.92820i 0.106008i
\(764\) −2.50000 0.669873i −0.0904468 0.0242352i
\(765\) −0.607695 + 10.1244i −0.0219713 + 0.366047i
\(766\) −15.4641 −0.558741
\(767\) 5.58846 5.58846i 0.201787 0.201787i
\(768\) −1.86603 + 0.500000i −0.0673344 + 0.0180422i
\(769\) 33.9282 33.9282i 1.22348 1.22348i 0.257097 0.966386i \(-0.417234\pi\)
0.966386 0.257097i \(-0.0827659\pi\)
\(770\) −12.3923 + 2.53590i −0.446588 + 0.0913874i
\(771\) 0.464102 + 0.464102i 0.0167142 + 0.0167142i
\(772\) −0.294229 +