Properties

Label 570.2.s.a.521.7
Level $570$
Weight $2$
Character 570.521
Analytic conductor $4.551$
Analytic rank $0$
Dimension $24$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.s (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(12\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 521.7
Character \(\chi\) \(=\) 570.521
Dual form 570.2.s.a.221.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.500000 + 0.866025i) q^{2} +(0.362568 - 1.69368i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(0.866025 + 0.500000i) q^{5} +(1.28548 + 1.16083i) q^{6} -0.535070 q^{7} +1.00000 q^{8} +(-2.73709 - 1.22815i) q^{9} +O(q^{10})\) \(q+(-0.500000 + 0.866025i) q^{2} +(0.362568 - 1.69368i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(0.866025 + 0.500000i) q^{5} +(1.28548 + 1.16083i) q^{6} -0.535070 q^{7} +1.00000 q^{8} +(-2.73709 - 1.22815i) q^{9} +(-0.866025 + 0.500000i) q^{10} -5.20870i q^{11} +(-1.64805 + 0.532846i) q^{12} +(1.58889 - 0.917346i) q^{13} +(0.267535 - 0.463384i) q^{14} +(1.16083 - 1.28548i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-3.93717 - 2.27312i) q^{17} +(2.43215 - 1.75631i) q^{18} +(-1.25777 + 4.17349i) q^{19} -1.00000i q^{20} +(-0.193999 + 0.906236i) q^{21} +(4.51086 + 2.60435i) q^{22} +(5.55808 - 3.20896i) q^{23} +(0.362568 - 1.69368i) q^{24} +(0.500000 + 0.866025i) q^{25} +1.83469i q^{26} +(-3.07247 + 4.19046i) q^{27} +(0.267535 + 0.463384i) q^{28} +(-4.19776 - 7.27074i) q^{29} +(0.532846 + 1.64805i) q^{30} +4.17904i q^{31} +(-0.500000 - 0.866025i) q^{32} +(-8.82185 - 1.88851i) q^{33} +(3.93717 - 2.27312i) q^{34} +(-0.463384 - 0.267535i) q^{35} +(0.304938 + 2.98446i) q^{36} -5.32678i q^{37} +(-2.98546 - 3.17601i) q^{38} +(-0.977607 - 3.02367i) q^{39} +(0.866025 + 0.500000i) q^{40} +(2.33917 - 4.05157i) q^{41} +(-0.687824 - 0.621126i) q^{42} +(4.21877 - 7.30712i) q^{43} +(-4.51086 + 2.60435i) q^{44} +(-1.75631 - 2.43215i) q^{45} +6.41792i q^{46} +(3.52343 - 2.03425i) q^{47} +(1.28548 + 1.16083i) q^{48} -6.71370 q^{49} -1.00000 q^{50} +(-5.27743 + 5.84413i) q^{51} +(-1.58889 - 0.917346i) q^{52} +(-3.26957 - 5.66307i) q^{53} +(-2.09281 - 4.75606i) q^{54} +(2.60435 - 4.51086i) q^{55} -0.535070 q^{56} +(6.61252 + 3.64344i) q^{57} +8.39553 q^{58} +(-3.47483 + 6.01858i) q^{59} +(-1.69368 - 0.362568i) q^{60} +(4.11360 + 7.12497i) q^{61} +(-3.61915 - 2.08952i) q^{62} +(1.46453 + 0.657144i) q^{63} +1.00000 q^{64} +1.83469 q^{65} +(6.04642 - 6.69569i) q^{66} +(-0.445224 + 0.257050i) q^{67} +4.54625i q^{68} +(-3.41976 - 10.5771i) q^{69} +(0.463384 - 0.267535i) q^{70} +(3.29907 - 5.71415i) q^{71} +(-2.73709 - 1.22815i) q^{72} +(3.05629 - 5.29365i) q^{73} +(4.61313 + 2.66339i) q^{74} +(1.64805 - 0.532846i) q^{75} +(4.24323 - 0.997481i) q^{76} +2.78702i q^{77} +(3.10738 + 0.665201i) q^{78} +(7.65758 + 4.42110i) q^{79} +(-0.866025 + 0.500000i) q^{80} +(5.98331 + 6.72310i) q^{81} +(2.33917 + 4.05157i) q^{82} +13.2159i q^{83} +(0.881823 - 0.285110i) q^{84} +(-2.27312 - 3.93717i) q^{85} +(4.21877 + 7.30712i) q^{86} +(-13.8363 + 4.47352i) q^{87} -5.20870i q^{88} +(8.15273 + 14.1209i) q^{89} +(2.98446 - 0.304938i) q^{90} +(-0.850166 + 0.490844i) q^{91} +(-5.55808 - 3.20896i) q^{92} +(7.07794 + 1.51519i) q^{93} +4.06851i q^{94} +(-3.17601 + 2.98546i) q^{95} +(-1.64805 + 0.532846i) q^{96} +(0.567737 + 0.327783i) q^{97} +(3.35685 - 5.81424i) q^{98} +(-6.39704 + 14.2567i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q - 12q^{2} + 4q^{3} - 12q^{4} - 2q^{6} - 12q^{7} + 24q^{8} - 4q^{9} + O(q^{10}) \) \( 24q - 12q^{2} + 4q^{3} - 12q^{4} - 2q^{6} - 12q^{7} + 24q^{8} - 4q^{9} - 2q^{12} + 18q^{13} + 6q^{14} - 12q^{16} + 12q^{17} + 2q^{18} + 6q^{19} - 6q^{21} + 18q^{22} + 4q^{24} + 12q^{25} + 28q^{27} + 6q^{28} - 12q^{32} - 22q^{33} - 12q^{34} + 2q^{36} + 6q^{38} + 40q^{39} + 6q^{41} - 6q^{42} - 22q^{43} - 18q^{44} + 8q^{45} + 12q^{47} - 2q^{48} + 12q^{49} - 24q^{50} - 20q^{51} - 18q^{52} + 8q^{53} + 4q^{54} - 12q^{56} + 26q^{59} + 22q^{61} - 18q^{62} + 6q^{63} + 24q^{64} + 8q^{65} + 8q^{66} - 48q^{67} - 64q^{69} + 24q^{71} - 4q^{72} - 8q^{73} + 30q^{74} + 2q^{75} - 12q^{76} - 38q^{78} + 18q^{79} - 12q^{81} + 6q^{82} + 12q^{84} - 22q^{86} - 24q^{87} + 28q^{89} + 8q^{90} + 18q^{91} + 2q^{93} - 2q^{96} + 6q^{97} - 6q^{98} + 2q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{6}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.500000 + 0.866025i −0.353553 + 0.612372i
\(3\) 0.362568 1.69368i 0.209329 0.977845i
\(4\) −0.500000 0.866025i −0.250000 0.433013i
\(5\) 0.866025 + 0.500000i 0.387298 + 0.223607i
\(6\) 1.28548 + 1.16083i 0.524797 + 0.473908i
\(7\) −0.535070 −0.202237 −0.101119 0.994874i \(-0.532242\pi\)
−0.101119 + 0.994874i \(0.532242\pi\)
\(8\) 1.00000 0.353553
\(9\) −2.73709 1.22815i −0.912363 0.409382i
\(10\) −0.866025 + 0.500000i −0.273861 + 0.158114i
\(11\) 5.20870i 1.57048i −0.619191 0.785240i \(-0.712539\pi\)
0.619191 0.785240i \(-0.287461\pi\)
\(12\) −1.64805 + 0.532846i −0.475752 + 0.153819i
\(13\) 1.58889 0.917346i 0.440679 0.254426i −0.263207 0.964739i \(-0.584780\pi\)
0.703885 + 0.710314i \(0.251447\pi\)
\(14\) 0.267535 0.463384i 0.0715017 0.123845i
\(15\) 1.16083 1.28548i 0.299726 0.331911i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) −3.93717 2.27312i −0.954903 0.551313i −0.0603023 0.998180i \(-0.519206\pi\)
−0.894601 + 0.446867i \(0.852540\pi\)
\(18\) 2.43215 1.75631i 0.573263 0.413967i
\(19\) −1.25777 + 4.17349i −0.288553 + 0.957464i
\(20\) 1.00000i 0.223607i
\(21\) −0.193999 + 0.906236i −0.0423341 + 0.197757i
\(22\) 4.51086 + 2.60435i 0.961719 + 0.555249i
\(23\) 5.55808 3.20896i 1.15894 0.669114i 0.207890 0.978152i \(-0.433340\pi\)
0.951050 + 0.309038i \(0.100007\pi\)
\(24\) 0.362568 1.69368i 0.0740089 0.345721i
\(25\) 0.500000 + 0.866025i 0.100000 + 0.173205i
\(26\) 1.83469i 0.359813i
\(27\) −3.07247 + 4.19046i −0.591296 + 0.806454i
\(28\) 0.267535 + 0.463384i 0.0505593 + 0.0875713i
\(29\) −4.19776 7.27074i −0.779505 1.35014i −0.932227 0.361873i \(-0.882137\pi\)
0.152722 0.988269i \(-0.451196\pi\)
\(30\) 0.532846 + 1.64805i 0.0972839 + 0.300892i
\(31\) 4.17904i 0.750577i 0.926908 + 0.375289i \(0.122456\pi\)
−0.926908 + 0.375289i \(0.877544\pi\)
\(32\) −0.500000 0.866025i −0.0883883 0.153093i
\(33\) −8.82185 1.88851i −1.53569 0.328747i
\(34\) 3.93717 2.27312i 0.675218 0.389837i
\(35\) −0.463384 0.267535i −0.0783262 0.0452216i
\(36\) 0.304938 + 2.98446i 0.0508229 + 0.497410i
\(37\) 5.32678i 0.875718i −0.899044 0.437859i \(-0.855737\pi\)
0.899044 0.437859i \(-0.144263\pi\)
\(38\) −2.98546 3.17601i −0.484306 0.515216i
\(39\) −0.977607 3.02367i −0.156542 0.484174i
\(40\) 0.866025 + 0.500000i 0.136931 + 0.0790569i
\(41\) 2.33917 4.05157i 0.365318 0.632749i −0.623509 0.781816i \(-0.714294\pi\)
0.988827 + 0.149067i \(0.0476271\pi\)
\(42\) −0.687824 0.621126i −0.106133 0.0958418i
\(43\) 4.21877 7.30712i 0.643356 1.11433i −0.341322 0.939946i \(-0.610875\pi\)
0.984679 0.174379i \(-0.0557919\pi\)
\(44\) −4.51086 + 2.60435i −0.680038 + 0.392620i
\(45\) −1.75631 2.43215i −0.261816 0.362564i
\(46\) 6.41792i 0.946271i
\(47\) 3.52343 2.03425i 0.513945 0.296726i −0.220509 0.975385i \(-0.570772\pi\)
0.734454 + 0.678659i \(0.237438\pi\)
\(48\) 1.28548 + 1.16083i 0.185544 + 0.167552i
\(49\) −6.71370 −0.959100
\(50\) −1.00000 −0.141421
\(51\) −5.27743 + 5.84413i −0.738988 + 0.818341i
\(52\) −1.58889 0.917346i −0.220339 0.127213i
\(53\) −3.26957 5.66307i −0.449110 0.777882i 0.549218 0.835679i \(-0.314926\pi\)
−0.998328 + 0.0577971i \(0.981592\pi\)
\(54\) −2.09281 4.75606i −0.284795 0.647218i
\(55\) 2.60435 4.51086i 0.351170 0.608245i
\(56\) −0.535070 −0.0715017
\(57\) 6.61252 + 3.64344i 0.875849 + 0.482585i
\(58\) 8.39553 1.10239
\(59\) −3.47483 + 6.01858i −0.452384 + 0.783552i −0.998534 0.0541355i \(-0.982760\pi\)
0.546149 + 0.837688i \(0.316093\pi\)
\(60\) −1.69368 0.362568i −0.218653 0.0468073i
\(61\) 4.11360 + 7.12497i 0.526693 + 0.912259i 0.999516 + 0.0311016i \(0.00990154\pi\)
−0.472823 + 0.881157i \(0.656765\pi\)
\(62\) −3.61915 2.08952i −0.459633 0.265369i
\(63\) 1.46453 + 0.657144i 0.184514 + 0.0827924i
\(64\) 1.00000 0.125000
\(65\) 1.83469 0.227565
\(66\) 6.04642 6.69569i 0.744263 0.824183i
\(67\) −0.445224 + 0.257050i −0.0543927 + 0.0314037i −0.526950 0.849896i \(-0.676664\pi\)
0.472557 + 0.881300i \(0.343331\pi\)
\(68\) 4.54625i 0.551313i
\(69\) −3.41976 10.5771i −0.411691 1.27333i
\(70\) 0.463384 0.267535i 0.0553850 0.0319765i
\(71\) 3.29907 5.71415i 0.391527 0.678145i −0.601124 0.799156i \(-0.705280\pi\)
0.992651 + 0.121011i \(0.0386135\pi\)
\(72\) −2.73709 1.22815i −0.322569 0.144739i
\(73\) 3.05629 5.29365i 0.357712 0.619575i −0.629866 0.776704i \(-0.716890\pi\)
0.987578 + 0.157128i \(0.0502236\pi\)
\(74\) 4.61313 + 2.66339i 0.536265 + 0.309613i
\(75\) 1.64805 0.532846i 0.190301 0.0615277i
\(76\) 4.24323 0.997481i 0.486732 0.114419i
\(77\) 2.78702i 0.317610i
\(78\) 3.10738 + 0.665201i 0.351841 + 0.0753191i
\(79\) 7.65758 + 4.42110i 0.861545 + 0.497413i 0.864529 0.502582i \(-0.167617\pi\)
−0.00298455 + 0.999996i \(0.500950\pi\)
\(80\) −0.866025 + 0.500000i −0.0968246 + 0.0559017i
\(81\) 5.98331 + 6.72310i 0.664812 + 0.747011i
\(82\) 2.33917 + 4.05157i 0.258319 + 0.447421i
\(83\) 13.2159i 1.45063i 0.688416 + 0.725316i \(0.258306\pi\)
−0.688416 + 0.725316i \(0.741694\pi\)
\(84\) 0.881823 0.285110i 0.0962148 0.0311080i
\(85\) −2.27312 3.93717i −0.246555 0.427046i
\(86\) 4.21877 + 7.30712i 0.454922 + 0.787947i
\(87\) −13.8363 + 4.47352i −1.48340 + 0.479612i
\(88\) 5.20870i 0.555249i
\(89\) 8.15273 + 14.1209i 0.864187 + 1.49682i 0.867852 + 0.496823i \(0.165500\pi\)
−0.00366426 + 0.999993i \(0.501166\pi\)
\(90\) 2.98446 0.304938i 0.314590 0.0321433i
\(91\) −0.850166 + 0.490844i −0.0891217 + 0.0514544i
\(92\) −5.55808 3.20896i −0.579470 0.334557i
\(93\) 7.07794 + 1.51519i 0.733948 + 0.157117i
\(94\) 4.06851i 0.419635i
\(95\) −3.17601 + 2.98546i −0.325851 + 0.306302i
\(96\) −1.64805 + 0.532846i −0.168204 + 0.0543833i
\(97\) 0.567737 + 0.327783i 0.0576449 + 0.0332813i 0.528545 0.848905i \(-0.322738\pi\)
−0.470901 + 0.882186i \(0.656071\pi\)
\(98\) 3.35685 5.81424i 0.339093 0.587326i
\(99\) −6.39704 + 14.2567i −0.642927 + 1.43285i
\(100\) 0.500000 0.866025i 0.0500000 0.0866025i
\(101\) −10.5737 + 6.10474i −1.05212 + 0.607444i −0.923243 0.384216i \(-0.874472\pi\)
−0.128881 + 0.991660i \(0.541139\pi\)
\(102\) −2.42245 7.49245i −0.239858 0.741863i
\(103\) 10.0328i 0.988561i 0.869303 + 0.494280i \(0.164568\pi\)
−0.869303 + 0.494280i \(0.835432\pi\)
\(104\) 1.58889 0.917346i 0.155803 0.0899531i
\(105\) −0.621126 + 0.687824i −0.0606157 + 0.0671247i
\(106\) 6.53915 0.635138
\(107\) 19.9736 1.93092 0.965459 0.260554i \(-0.0839052\pi\)
0.965459 + 0.260554i \(0.0839052\pi\)
\(108\) 5.16528 + 0.565605i 0.497029 + 0.0544253i
\(109\) −6.94887 4.01193i −0.665581 0.384273i 0.128819 0.991668i \(-0.458881\pi\)
−0.794400 + 0.607395i \(0.792215\pi\)
\(110\) 2.60435 + 4.51086i 0.248315 + 0.430094i
\(111\) −9.02185 1.93132i −0.856317 0.183313i
\(112\) 0.267535 0.463384i 0.0252797 0.0437857i
\(113\) 16.8013 1.58054 0.790269 0.612760i \(-0.209941\pi\)
0.790269 + 0.612760i \(0.209941\pi\)
\(114\) −6.46157 + 3.90489i −0.605181 + 0.365726i
\(115\) 6.41792 0.598474
\(116\) −4.19776 + 7.27074i −0.389753 + 0.675071i
\(117\) −5.47557 + 0.559466i −0.506216 + 0.0517227i
\(118\) −3.47483 6.01858i −0.319884 0.554055i
\(119\) 2.10666 + 1.21628i 0.193117 + 0.111496i
\(120\) 1.16083 1.28548i 0.105969 0.117348i
\(121\) −16.1305 −1.46641
\(122\) −8.22721 −0.744856
\(123\) −6.01394 5.43078i −0.542259 0.489677i
\(124\) 3.61915 2.08952i 0.325009 0.187644i
\(125\) 1.00000i 0.0894427i
\(126\) −1.30137 + 0.939751i −0.115935 + 0.0837197i
\(127\) 7.49011 4.32442i 0.664640 0.383730i −0.129403 0.991592i \(-0.541306\pi\)
0.794043 + 0.607862i \(0.207973\pi\)
\(128\) −0.500000 + 0.866025i −0.0441942 + 0.0765466i
\(129\) −10.8463 9.79456i −0.954965 0.862363i
\(130\) −0.917346 + 1.58889i −0.0804565 + 0.139355i
\(131\) −16.6710 9.62499i −1.45655 0.840939i −0.457710 0.889102i \(-0.651330\pi\)
−0.998840 + 0.0481626i \(0.984663\pi\)
\(132\) 2.77543 + 8.58420i 0.241570 + 0.747159i
\(133\) 0.672996 2.23311i 0.0583562 0.193635i
\(134\) 0.514100i 0.0444115i
\(135\) −4.75606 + 2.09281i −0.409337 + 0.180120i
\(136\) −3.93717 2.27312i −0.337609 0.194919i
\(137\) −1.62271 + 0.936869i −0.138637 + 0.0800421i −0.567714 0.823226i \(-0.692172\pi\)
0.429077 + 0.903268i \(0.358839\pi\)
\(138\) 10.8699 + 2.32693i 0.925306 + 0.198082i
\(139\) 3.33569 + 5.77758i 0.282929 + 0.490048i 0.972105 0.234546i \(-0.0753604\pi\)
−0.689176 + 0.724594i \(0.742027\pi\)
\(140\) 0.535070i 0.0452216i
\(141\) −2.16789 6.70511i −0.182569 0.564672i
\(142\) 3.29907 + 5.71415i 0.276852 + 0.479521i
\(143\) −4.77817 8.27604i −0.399571 0.692077i
\(144\) 2.43215 1.75631i 0.202679 0.146360i
\(145\) 8.39553i 0.697211i
\(146\) 3.05629 + 5.29365i 0.252941 + 0.438106i
\(147\) −2.43417 + 11.3708i −0.200767 + 0.937851i
\(148\) −4.61313 + 2.66339i −0.379197 + 0.218929i
\(149\) −3.13836 1.81193i −0.257104 0.148439i 0.365909 0.930651i \(-0.380758\pi\)
−0.623013 + 0.782211i \(0.714092\pi\)
\(150\) −0.362568 + 1.69368i −0.0296036 + 0.138288i
\(151\) 19.7459i 1.60690i 0.595371 + 0.803451i \(0.297005\pi\)
−0.595371 + 0.803451i \(0.702995\pi\)
\(152\) −1.25777 + 4.17349i −0.102019 + 0.338515i
\(153\) 7.98464 + 11.0572i 0.645520 + 0.893918i
\(154\) −2.41363 1.39351i −0.194496 0.112292i
\(155\) −2.08952 + 3.61915i −0.167834 + 0.290697i
\(156\) −2.12977 + 2.35847i −0.170518 + 0.188828i
\(157\) 2.03388 3.52278i 0.162321 0.281149i −0.773380 0.633943i \(-0.781435\pi\)
0.935701 + 0.352795i \(0.114769\pi\)
\(158\) −7.65758 + 4.42110i −0.609204 + 0.351724i
\(159\) −10.7769 + 3.48436i −0.854660 + 0.276327i
\(160\) 1.00000i 0.0790569i
\(161\) −2.97396 + 1.71702i −0.234381 + 0.135320i
\(162\) −8.81403 + 1.82015i −0.692495 + 0.143004i
\(163\) 6.73334 0.527396 0.263698 0.964605i \(-0.415058\pi\)
0.263698 + 0.964605i \(0.415058\pi\)
\(164\) −4.67835 −0.365318
\(165\) −6.69569 6.04642i −0.521259 0.470713i
\(166\) −11.4453 6.60794i −0.888327 0.512876i
\(167\) 3.32598 + 5.76077i 0.257372 + 0.445782i 0.965537 0.260265i \(-0.0838101\pi\)
−0.708165 + 0.706047i \(0.750477\pi\)
\(168\) −0.193999 + 0.906236i −0.0149674 + 0.0699176i
\(169\) −4.81695 + 8.34321i −0.370535 + 0.641785i
\(170\) 4.54625 0.348681
\(171\) 8.56829 9.87848i 0.655234 0.755426i
\(172\) −8.43754 −0.643356
\(173\) 1.61948 2.80502i 0.123127 0.213262i −0.797872 0.602826i \(-0.794041\pi\)
0.920999 + 0.389565i \(0.127374\pi\)
\(174\) 3.04395 14.2193i 0.230761 1.07796i
\(175\) −0.267535 0.463384i −0.0202237 0.0350285i
\(176\) 4.51086 + 2.60435i 0.340019 + 0.196310i
\(177\) 8.93367 + 8.06738i 0.671496 + 0.606382i
\(178\) −16.3055 −1.22215
\(179\) 13.4218 1.00319 0.501597 0.865101i \(-0.332746\pi\)
0.501597 + 0.865101i \(0.332746\pi\)
\(180\) −1.22815 + 2.73709i −0.0915407 + 0.204011i
\(181\) −5.80040 + 3.34886i −0.431140 + 0.248919i −0.699832 0.714307i \(-0.746742\pi\)
0.268692 + 0.963226i \(0.413409\pi\)
\(182\) 0.981688i 0.0727675i
\(183\) 13.5589 4.38383i 1.00230 0.324062i
\(184\) 5.55808 3.20896i 0.409747 0.236568i
\(185\) 2.66339 4.61313i 0.195816 0.339164i
\(186\) −4.85116 + 5.37208i −0.355704 + 0.393900i
\(187\) −11.8400 + 20.5075i −0.865827 + 1.49966i
\(188\) −3.52343 2.03425i −0.256973 0.148363i
\(189\) 1.64398 2.24219i 0.119582 0.163095i
\(190\) −0.997481 4.24323i −0.0723649 0.307837i
\(191\) 9.59528i 0.694290i −0.937811 0.347145i \(-0.887151\pi\)
0.937811 0.347145i \(-0.112849\pi\)
\(192\) 0.362568 1.69368i 0.0261661 0.122231i
\(193\) 8.36220 + 4.82792i 0.601924 + 0.347521i 0.769798 0.638287i \(-0.220357\pi\)
−0.167874 + 0.985808i \(0.553690\pi\)
\(194\) −0.567737 + 0.327783i −0.0407611 + 0.0235334i
\(195\) 0.665201 3.10738i 0.0476360 0.222524i
\(196\) 3.35685 + 5.81424i 0.239775 + 0.415303i
\(197\) 3.26552i 0.232659i 0.993211 + 0.116329i \(0.0371128\pi\)
−0.993211 + 0.116329i \(0.962887\pi\)
\(198\) −9.14811 12.6683i −0.650128 0.900299i
\(199\) −0.305926 0.529880i −0.0216865 0.0375622i 0.854978 0.518663i \(-0.173570\pi\)
−0.876665 + 0.481101i \(0.840237\pi\)
\(200\) 0.500000 + 0.866025i 0.0353553 + 0.0612372i
\(201\) 0.273936 + 0.847263i 0.0193220 + 0.0597614i
\(202\) 12.2095i 0.859056i
\(203\) 2.24610 + 3.89035i 0.157645 + 0.273049i
\(204\) 7.69988 + 1.64832i 0.539099 + 0.115406i
\(205\) 4.05157 2.33917i 0.282974 0.163375i
\(206\) −8.68866 5.01640i −0.605367 0.349509i
\(207\) −19.1540 + 1.95707i −1.33130 + 0.136025i
\(208\) 1.83469i 0.127213i
\(209\) 21.7384 + 6.55135i 1.50368 + 0.453167i
\(210\) −0.285110 0.881823i −0.0196744 0.0608516i
\(211\) −4.21436 2.43316i −0.290129 0.167506i 0.347871 0.937542i \(-0.386905\pi\)
−0.638000 + 0.770037i \(0.720238\pi\)
\(212\) −3.26957 + 5.66307i −0.224555 + 0.388941i
\(213\) −8.48180 7.65933i −0.581163 0.524808i
\(214\) −9.98679 + 17.2976i −0.682683 + 1.18244i
\(215\) 7.30712 4.21877i 0.498342 0.287718i
\(216\) −3.07247 + 4.19046i −0.209055 + 0.285125i
\(217\) 2.23608i 0.151795i
\(218\) 6.94887 4.01193i 0.470637 0.271722i
\(219\) −7.85763 7.09569i −0.530969 0.479482i
\(220\) −5.20870 −0.351170
\(221\) −8.34096 −0.561074
\(222\) 6.18350 6.84749i 0.415009 0.459574i
\(223\) 4.74349 + 2.73866i 0.317648 + 0.183394i 0.650344 0.759640i \(-0.274625\pi\)
−0.332696 + 0.943034i \(0.607958\pi\)
\(224\) 0.267535 + 0.463384i 0.0178754 + 0.0309611i
\(225\) −0.304938 2.98446i −0.0203292 0.198964i
\(226\) −8.40067 + 14.5504i −0.558805 + 0.967878i
\(227\) 12.2736 0.814630 0.407315 0.913288i \(-0.366465\pi\)
0.407315 + 0.913288i \(0.366465\pi\)
\(228\) −0.150951 7.54833i −0.00999696 0.499900i
\(229\) 25.2326 1.66742 0.833708 0.552205i \(-0.186214\pi\)
0.833708 + 0.552205i \(0.186214\pi\)
\(230\) −3.20896 + 5.55808i −0.211593 + 0.366489i
\(231\) 4.72031 + 1.01048i 0.310573 + 0.0664849i
\(232\) −4.19776 7.27074i −0.275597 0.477347i
\(233\) −15.1283 8.73433i −0.991088 0.572205i −0.0854886 0.996339i \(-0.527245\pi\)
−0.905599 + 0.424134i \(0.860578\pi\)
\(234\) 2.25327 5.02171i 0.147301 0.328280i
\(235\) 4.06851 0.265400
\(236\) 6.94966 0.452384
\(237\) 10.2643 11.3665i 0.666739 0.738335i
\(238\) −2.10666 + 1.21628i −0.136554 + 0.0788397i
\(239\) 27.8911i 1.80413i 0.431603 + 0.902063i \(0.357948\pi\)
−0.431603 + 0.902063i \(0.642052\pi\)
\(240\) 0.532846 + 1.64805i 0.0343950 + 0.106381i
\(241\) 21.8025 12.5877i 1.40442 0.810843i 0.409579 0.912275i \(-0.365676\pi\)
0.994842 + 0.101432i \(0.0323424\pi\)
\(242\) 8.06525 13.9694i 0.518454 0.897989i
\(243\) 13.5561 7.69622i 0.869625 0.493713i
\(244\) 4.11360 7.12497i 0.263346 0.456129i
\(245\) −5.81424 3.35685i −0.371458 0.214461i
\(246\) 7.71016 2.49284i 0.491582 0.158938i
\(247\) 1.83007 + 7.78502i 0.116445 + 0.495349i
\(248\) 4.17904i 0.265369i
\(249\) 22.3834 + 4.79166i 1.41849 + 0.303659i
\(250\) −0.866025 0.500000i −0.0547723 0.0316228i
\(251\) −15.5790 + 8.99456i −0.983340 + 0.567732i −0.903277 0.429058i \(-0.858846\pi\)
−0.0800634 + 0.996790i \(0.525512\pi\)
\(252\) −0.163163 1.59690i −0.0102783 0.100595i
\(253\) −16.7145 28.9504i −1.05083 1.82009i
\(254\) 8.64884i 0.542676i
\(255\) −7.49245 + 2.42245i −0.469196 + 0.151700i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 7.62204 + 13.2018i 0.475450 + 0.823503i 0.999605 0.0281201i \(-0.00895207\pi\)
−0.524155 + 0.851623i \(0.675619\pi\)
\(258\) 13.9055 4.49591i 0.865719 0.279903i
\(259\) 2.85020i 0.177103i
\(260\) −0.917346 1.58889i −0.0568914 0.0985387i
\(261\) 2.56011 + 25.0561i 0.158467 + 1.55094i
\(262\) 16.6710 9.62499i 1.02994 0.594634i
\(263\) −19.9274 11.5051i −1.22878 0.709436i −0.262004 0.965067i \(-0.584383\pi\)
−0.966774 + 0.255631i \(0.917717\pi\)
\(264\) −8.82185 1.88851i −0.542947 0.116230i
\(265\) 6.53915i 0.401697i
\(266\) 1.59743 + 1.69939i 0.0979447 + 0.104196i
\(267\) 26.8722 8.68829i 1.64455 0.531715i
\(268\) 0.445224 + 0.257050i 0.0271964 + 0.0157018i
\(269\) 11.9188 20.6440i 0.726702 1.25868i −0.231567 0.972819i \(-0.574385\pi\)
0.958270 0.285866i \(-0.0922813\pi\)
\(270\) 0.565605 5.16528i 0.0344216 0.314349i
\(271\) 10.8992 18.8780i 0.662082 1.14676i −0.317986 0.948095i \(-0.603006\pi\)
0.980068 0.198664i \(-0.0636602\pi\)
\(272\) 3.93717 2.27312i 0.238726 0.137828i
\(273\) 0.523088 + 1.61787i 0.0316587 + 0.0979181i
\(274\) 1.87374i 0.113197i
\(275\) 4.51086 2.60435i 0.272015 0.157048i
\(276\) −7.45013 + 8.25013i −0.448445 + 0.496600i
\(277\) −6.33971 −0.380916 −0.190458 0.981695i \(-0.560997\pi\)
−0.190458 + 0.981695i \(0.560997\pi\)
\(278\) −6.67138 −0.400123
\(279\) 5.13247 11.4384i 0.307273 0.684799i
\(280\) −0.463384 0.267535i −0.0276925 0.0159883i
\(281\) −11.6032 20.0973i −0.692188 1.19890i −0.971120 0.238594i \(-0.923314\pi\)
0.278932 0.960311i \(-0.410020\pi\)
\(282\) 6.89074 + 1.47511i 0.410338 + 0.0878416i
\(283\) 8.02179 13.8941i 0.476846 0.825921i −0.522802 0.852454i \(-0.675113\pi\)
0.999648 + 0.0265330i \(0.00844670\pi\)
\(284\) −6.59813 −0.391527
\(285\) 3.90489 + 6.46157i 0.231306 + 0.382750i
\(286\) 9.55635 0.565079
\(287\) −1.25162 + 2.16787i −0.0738809 + 0.127965i
\(288\) 0.304938 + 2.98446i 0.0179686 + 0.175861i
\(289\) 1.83418 + 3.17689i 0.107893 + 0.186876i
\(290\) 7.27074 + 4.19776i 0.426953 + 0.246501i
\(291\) 0.761002 0.842719i 0.0446107 0.0494011i
\(292\) −6.11259 −0.357712
\(293\) −20.9324 −1.22288 −0.611441 0.791290i \(-0.709410\pi\)
−0.611441 + 0.791290i \(0.709410\pi\)
\(294\) −8.63035 7.79348i −0.503332 0.454525i
\(295\) −6.01858 + 3.47483i −0.350415 + 0.202312i
\(296\) 5.32678i 0.309613i
\(297\) 21.8268 + 16.0035i 1.26652 + 0.928620i
\(298\) 3.13836 1.81193i 0.181800 0.104962i
\(299\) 5.88745 10.1974i 0.340480 0.589729i
\(300\) −1.28548 1.16083i −0.0742174 0.0670207i
\(301\) −2.25734 + 3.90982i −0.130111 + 0.225358i
\(302\) −17.1005 9.87297i −0.984022 0.568126i
\(303\) 6.50577 + 20.1219i 0.373747 + 1.15597i
\(304\) −2.98546 3.17601i −0.171228 0.182157i
\(305\) 8.22721i 0.471088i
\(306\) −13.5681 + 1.38632i −0.775637 + 0.0792508i
\(307\) −9.83298 5.67707i −0.561198 0.324008i 0.192428 0.981311i \(-0.438364\pi\)
−0.753626 + 0.657303i \(0.771697\pi\)
\(308\) 2.41363 1.39351i 0.137529 0.0794025i
\(309\) 16.9923 + 3.63757i 0.966660 + 0.206934i
\(310\) −2.08952 3.61915i −0.118677 0.205554i
\(311\) 6.21309i 0.352312i −0.984362 0.176156i \(-0.943634\pi\)
0.984362 0.176156i \(-0.0563663\pi\)
\(312\) −0.977607 3.02367i −0.0553461 0.171181i
\(313\) −5.11268 8.85542i −0.288986 0.500538i 0.684582 0.728936i \(-0.259985\pi\)
−0.973568 + 0.228398i \(0.926651\pi\)
\(314\) 2.03388 + 3.52278i 0.114778 + 0.198802i
\(315\) 0.939751 + 1.30137i 0.0529490 + 0.0733239i
\(316\) 8.84221i 0.497413i
\(317\) −5.46022 9.45738i −0.306677 0.531179i 0.670957 0.741497i \(-0.265884\pi\)
−0.977633 + 0.210317i \(0.932550\pi\)
\(318\) 2.37089 11.0752i 0.132953 0.621067i
\(319\) −37.8711 + 21.8649i −2.12037 + 1.22420i
\(320\) 0.866025 + 0.500000i 0.0484123 + 0.0279508i
\(321\) 7.24178 33.8288i 0.404197 1.88814i
\(322\) 3.43403i 0.191371i
\(323\) 14.4389 13.5726i 0.803403 0.755202i
\(324\) 2.83072 8.54325i 0.157262 0.474625i
\(325\) 1.58889 + 0.917346i 0.0881357 + 0.0508852i
\(326\) −3.36667 + 5.83124i −0.186463 + 0.322963i
\(327\) −9.31435 + 10.3145i −0.515085 + 0.570396i
\(328\) 2.33917 4.05157i 0.129159 0.223710i
\(329\) −1.88528 + 1.08847i −0.103939 + 0.0600092i
\(330\) 8.58420 2.77543i 0.472545 0.152782i
\(331\) 5.24791i 0.288451i 0.989545 + 0.144226i \(0.0460691\pi\)
−0.989545 + 0.144226i \(0.953931\pi\)
\(332\) 11.4453 6.60794i 0.628142 0.362658i
\(333\) −6.54207 + 14.5799i −0.358503 + 0.798972i
\(334\) −6.65196 −0.363979
\(335\) −0.514100 −0.0280883
\(336\) −0.687824 0.621126i −0.0375239 0.0338852i
\(337\) 10.1877 + 5.88185i 0.554957 + 0.320405i 0.751119 0.660167i \(-0.229514\pi\)
−0.196162 + 0.980572i \(0.562848\pi\)
\(338\) −4.81695 8.34321i −0.262008 0.453811i
\(339\) 6.09163 28.4561i 0.330852 1.54552i
\(340\) −2.27312 + 3.93717i −0.123277 + 0.213523i
\(341\) 21.7673 1.17877
\(342\) 4.27087 + 12.3596i 0.230942 + 0.668331i
\(343\) 7.33779 0.396203
\(344\) 4.21877 7.30712i 0.227461 0.393974i
\(345\) 2.32693 10.8699i 0.125278 0.585215i
\(346\) 1.61948 + 2.80502i 0.0870638 + 0.150799i
\(347\) −18.1066 10.4539i −0.972015 0.561193i −0.0721651 0.997393i \(-0.522991\pi\)
−0.899850 + 0.436200i \(0.856324\pi\)
\(348\) 10.7923 + 9.74580i 0.578529 + 0.522430i
\(349\) 3.49912 0.187304 0.0936518 0.995605i \(-0.470146\pi\)
0.0936518 + 0.995605i \(0.470146\pi\)
\(350\) 0.535070 0.0286007
\(351\) −1.03771 + 9.47669i −0.0553888 + 0.505828i
\(352\) −4.51086 + 2.60435i −0.240430 + 0.138812i
\(353\) 0.0613213i 0.00326380i 0.999999 + 0.00163190i \(0.000519451\pi\)
−0.999999 + 0.00163190i \(0.999481\pi\)
\(354\) −11.4534 + 3.70309i −0.608741 + 0.196817i
\(355\) 5.71415 3.29907i 0.303276 0.175096i
\(356\) 8.15273 14.1209i 0.432094 0.748408i
\(357\) 2.82379 3.12702i 0.149451 0.165499i
\(358\) −6.71091 + 11.6236i −0.354683 + 0.614328i
\(359\) 15.0843 + 8.70894i 0.796120 + 0.459640i 0.842113 0.539302i \(-0.181312\pi\)
−0.0459927 + 0.998942i \(0.514645\pi\)
\(360\) −1.75631 2.43215i −0.0925659 0.128186i
\(361\) −15.8360 10.4986i −0.833475 0.552558i
\(362\) 6.69773i 0.352025i
\(363\) −5.84841 + 27.3199i −0.306962 + 1.43392i
\(364\) 0.850166 + 0.490844i 0.0445608 + 0.0257272i
\(365\) 5.29365 3.05629i 0.277083 0.159974i
\(366\) −2.98292 + 13.9342i −0.155920 + 0.728354i
\(367\) −1.34926 2.33699i −0.0704309 0.121990i 0.828659 0.559753i \(-0.189104\pi\)
−0.899090 + 0.437763i \(0.855771\pi\)
\(368\) 6.41792i 0.334557i
\(369\) −11.3784 + 8.21665i −0.592338 + 0.427742i
\(370\) 2.66339 + 4.61313i 0.138463 + 0.239825i
\(371\) 1.74945 + 3.03014i 0.0908269 + 0.157317i
\(372\) −2.22678 6.88727i −0.115453 0.357088i
\(373\) 10.4311i 0.540101i 0.962846 + 0.270051i \(0.0870405\pi\)
−0.962846 + 0.270051i \(0.912960\pi\)
\(374\) −11.8400 20.5075i −0.612232 1.06042i
\(375\) 1.69368 + 0.362568i 0.0874611 + 0.0187229i
\(376\) 3.52343 2.03425i 0.181707 0.104909i
\(377\) −13.3396 7.70160i −0.687022 0.396653i
\(378\) 1.11980 + 2.54483i 0.0575963 + 0.130892i
\(379\) 9.19756i 0.472447i −0.971699 0.236223i \(-0.924090\pi\)
0.971699 0.236223i \(-0.0759097\pi\)
\(380\) 4.17349 + 1.25777i 0.214095 + 0.0645224i
\(381\) −4.60850 14.2537i −0.236100 0.730241i
\(382\) 8.30976 + 4.79764i 0.425164 + 0.245469i
\(383\) −5.34538 + 9.25846i −0.273136 + 0.473085i −0.969663 0.244445i \(-0.921394\pi\)
0.696527 + 0.717530i \(0.254728\pi\)
\(384\) 1.28548 + 1.16083i 0.0655996 + 0.0592385i
\(385\) −1.39351 + 2.41363i −0.0710197 + 0.123010i
\(386\) −8.36220 + 4.82792i −0.425625 + 0.245735i
\(387\) −20.5214 + 14.8190i −1.04316 + 0.753291i
\(388\) 0.655566i 0.0332813i
\(389\) 20.5861 11.8854i 1.04376 0.602614i 0.122863 0.992424i \(-0.460793\pi\)
0.920895 + 0.389810i \(0.127459\pi\)
\(390\) 2.35847 + 2.12977i 0.119426 + 0.107845i
\(391\) −29.1774 −1.47557
\(392\) −6.71370 −0.339093
\(393\) −22.3460 + 24.7455i −1.12721 + 1.24825i
\(394\) −2.82802 1.63276i −0.142474 0.0822572i
\(395\) 4.42110 + 7.65758i 0.222450 + 0.385295i
\(396\) 15.5452 1.58833i 0.781173 0.0798165i
\(397\) 11.0077 19.0660i 0.552463 0.956893i −0.445633 0.895216i \(-0.647022\pi\)
0.998096 0.0616779i \(-0.0196452\pi\)
\(398\) 0.611852 0.0306694
\(399\) −3.53816 1.94949i −0.177129 0.0975967i
\(400\) −1.00000 −0.0500000
\(401\) −2.08815 + 3.61678i −0.104277 + 0.180614i −0.913443 0.406967i \(-0.866586\pi\)
0.809165 + 0.587581i \(0.199920\pi\)
\(402\) −0.870720 0.186396i −0.0434276 0.00929660i
\(403\) 3.83362 + 6.64003i 0.190966 + 0.330763i
\(404\) 10.5737 + 6.10474i 0.526062 + 0.303722i
\(405\) 1.82015 + 8.81403i 0.0904440 + 0.437972i
\(406\) −4.49219 −0.222944
\(407\) −27.7456 −1.37530
\(408\) −5.27743 + 5.84413i −0.261272 + 0.289327i
\(409\) 5.63570 3.25377i 0.278667 0.160889i −0.354153 0.935188i \(-0.615231\pi\)
0.632820 + 0.774299i \(0.281897\pi\)
\(410\) 4.67835i 0.231047i
\(411\) 0.998413 + 3.08802i 0.0492481 + 0.152321i
\(412\) 8.68866 5.01640i 0.428059 0.247140i
\(413\) 1.85928 3.22036i 0.0914890 0.158464i
\(414\) 7.88215 17.5664i 0.387387 0.863342i
\(415\) −6.60794 + 11.4453i −0.324371 + 0.561827i
\(416\) −1.58889 0.917346i −0.0779017 0.0449766i
\(417\) 10.9948 3.55481i 0.538417 0.174080i
\(418\) −16.5429 + 15.5504i −0.809137 + 0.760593i
\(419\) 32.4656i 1.58605i 0.609189 + 0.793025i \(0.291495\pi\)
−0.609189 + 0.793025i \(0.708505\pi\)
\(420\) 0.906236 + 0.193999i 0.0442198 + 0.00946619i
\(421\) 22.1581 + 12.7930i 1.07992 + 0.623491i 0.930874 0.365339i \(-0.119047\pi\)
0.149044 + 0.988831i \(0.452380\pi\)
\(422\) 4.21436 2.43316i 0.205152 0.118444i
\(423\) −12.1423 + 1.24064i −0.590379 + 0.0603220i
\(424\) −3.26957 5.66307i −0.158785 0.275023i
\(425\) 4.54625i 0.220525i
\(426\) 10.8741 3.51579i 0.526850 0.170340i
\(427\) −2.20106 3.81236i −0.106517 0.184493i
\(428\) −9.98679 17.2976i −0.482730 0.836112i
\(429\) −15.7494 + 5.09206i −0.760386 + 0.245847i
\(430\) 8.43754i 0.406894i
\(431\) −4.97293 8.61337i −0.239538 0.414892i 0.721044 0.692889i \(-0.243663\pi\)
−0.960582 + 0.277998i \(0.910329\pi\)
\(432\) −2.09281 4.75606i −0.100690 0.228826i
\(433\) −21.0832 + 12.1724i −1.01319 + 0.584968i −0.912125 0.409911i \(-0.865560\pi\)
−0.101069 + 0.994879i \(0.532226\pi\)
\(434\) 1.93650 + 1.11804i 0.0929549 + 0.0536675i
\(435\) −14.2193 3.04395i −0.681764 0.145946i
\(436\) 8.02386i 0.384273i
\(437\) 6.40176 + 27.2327i 0.306237 + 1.30272i
\(438\) 10.0739 3.25706i 0.481348 0.155629i
\(439\) −32.3043 18.6509i −1.54180 0.890159i −0.998725 0.0504744i \(-0.983927\pi\)
−0.543075 0.839684i \(-0.682740\pi\)
\(440\) 2.60435 4.51086i 0.124157 0.215047i
\(441\) 18.3760 + 8.24541i 0.875047 + 0.392639i
\(442\) 4.17048 7.22348i 0.198369 0.343586i
\(443\) 14.9279 8.61861i 0.709244 0.409482i −0.101537 0.994832i \(-0.532376\pi\)
0.810781 + 0.585349i \(0.199043\pi\)
\(444\) 2.83835 + 8.77882i 0.134702 + 0.416624i
\(445\) 16.3055i 0.772953i
\(446\) −4.74349 + 2.73866i −0.224611 + 0.129679i
\(447\) −4.20670 + 4.65842i −0.198970 + 0.220336i
\(448\) −0.535070 −0.0252797
\(449\) 14.5905 0.688568 0.344284 0.938865i \(-0.388122\pi\)
0.344284 + 0.938865i \(0.388122\pi\)
\(450\) 2.73709 + 1.22815i 0.129028 + 0.0578954i
\(451\) −21.1034 12.1840i −0.993719 0.573724i
\(452\) −8.40067 14.5504i −0.395134 0.684393i
\(453\) 33.4433 + 7.15925i 1.57130 + 0.336371i
\(454\) −6.13682 + 10.6293i −0.288015 + 0.498857i
\(455\) −0.981688 −0.0460222
\(456\) 6.61252 + 3.64344i 0.309659 + 0.170619i
\(457\) −35.8465 −1.67683 −0.838414 0.545034i \(-0.816517\pi\)
−0.838414 + 0.545034i \(0.816517\pi\)
\(458\) −12.6163 + 21.8521i −0.589521 + 1.02108i
\(459\) 21.6222 9.51443i 1.00924 0.444096i
\(460\) −3.20896 5.55808i −0.149619 0.259147i
\(461\) −12.6225 7.28761i −0.587889 0.339418i 0.176373 0.984323i \(-0.443563\pi\)
−0.764262 + 0.644905i \(0.776897\pi\)
\(462\) −3.23526 + 3.58266i −0.150518 + 0.166681i
\(463\) 20.1328 0.935649 0.467825 0.883821i \(-0.345038\pi\)
0.467825 + 0.883821i \(0.345038\pi\)
\(464\) 8.39553 0.389753
\(465\) 5.37208 + 4.85116i 0.249124 + 0.224967i
\(466\) 15.1283 8.73433i 0.700805 0.404610i
\(467\) 0.535926i 0.0247997i 0.999923 + 0.0123999i \(0.00394710\pi\)
−0.999923 + 0.0123999i \(0.996053\pi\)
\(468\) 3.22229 + 4.46225i 0.148951 + 0.206267i
\(469\) 0.238226 0.137540i 0.0110002 0.00635099i
\(470\) −2.03425 + 3.52343i −0.0938331 + 0.162524i
\(471\) −5.22904 4.72198i −0.240941 0.217578i
\(472\) −3.47483 + 6.01858i −0.159942 + 0.277028i
\(473\) −38.0606 21.9743i −1.75003 1.01038i
\(474\) 4.71153 + 14.5724i 0.216408 + 0.669333i
\(475\) −4.24323 + 0.997481i −0.194693 + 0.0457676i
\(476\) 2.43256i 0.111496i
\(477\) 1.99403 + 19.5158i 0.0913005 + 0.893569i
\(478\) −24.1544 13.9456i −1.10480 0.637855i
\(479\) −21.8777 + 12.6311i −0.999618 + 0.577130i −0.908135 0.418677i \(-0.862494\pi\)
−0.0914830 + 0.995807i \(0.529161\pi\)
\(480\) −1.69368 0.362568i −0.0773055 0.0165489i
\(481\) −4.88650 8.46367i −0.222805 0.385910i
\(482\) 25.1753i 1.14670i
\(483\) 1.82981 + 5.65947i 0.0832593 + 0.257515i
\(484\) 8.06525 + 13.9694i 0.366602 + 0.634974i
\(485\) 0.327783 + 0.567737i 0.0148839 + 0.0257796i
\(486\) −0.112938 + 15.5880i −0.00512296 + 0.707088i
\(487\) 27.4924i 1.24580i 0.782302 + 0.622899i \(0.214045\pi\)
−0.782302 + 0.622899i \(0.785955\pi\)
\(488\) 4.11360 + 7.12497i 0.186214 + 0.322532i
\(489\) 2.44129 11.4041i 0.110399 0.515711i
\(490\) 5.81424 3.35685i 0.262660 0.151647i
\(491\) 9.52214 + 5.49761i 0.429728 + 0.248104i 0.699231 0.714896i \(-0.253526\pi\)
−0.269503 + 0.963000i \(0.586859\pi\)
\(492\) −1.69622 + 7.92361i −0.0764715 + 0.357224i
\(493\) 38.1681i 1.71901i
\(494\) −7.65706 2.30762i −0.344508 0.103825i
\(495\) −12.6683 + 9.14811i −0.569399 + 0.411177i
\(496\) −3.61915 2.08952i −0.162505 0.0938221i
\(497\) −1.76523 + 3.05747i −0.0791814 + 0.137146i
\(498\) −15.3414 + 16.9888i −0.687465 + 0.761286i
\(499\) 7.16095 12.4031i 0.320568 0.555241i −0.660037 0.751233i \(-0.729459\pi\)
0.980605 + 0.195992i \(0.0627928\pi\)
\(500\) 0.866025 0.500000i 0.0387298 0.0223607i
\(501\) 10.9628 3.54447i 0.489781 0.158355i
\(502\) 17.9891i 0.802894i
\(503\) 0.853524 0.492782i 0.0380567 0.0219721i −0.480851 0.876802i \(-0.659672\pi\)
0.518908 + 0.854830i \(0.326339\pi\)
\(504\) 1.46453 + 0.657144i 0.0652355 + 0.0292715i
\(505\) −12.2095 −0.543315
\(506\) 33.4290 1.48610
\(507\) 12.3842 + 11.1834i 0.550003 + 0.496670i
\(508\) −7.49011 4.32442i −0.332320 0.191865i
\(509\) −9.01611 15.6164i −0.399632 0.692183i 0.594048 0.804429i \(-0.297529\pi\)
−0.993680 + 0.112246i \(0.964195\pi\)
\(510\) 1.64832 7.69988i 0.0729890 0.340956i
\(511\) −1.63533 + 2.83247i −0.0723427 + 0.125301i
\(512\) 1.00000 0.0441942
\(513\) −13.6244 18.0935i −0.601531 0.798850i
\(514\) −15.2441 −0.672387
\(515\) −5.01640 + 8.68866i −0.221049 + 0.382868i
\(516\) −3.05918 + 14.2905i −0.134673 + 0.629103i
\(517\) −10.5958 18.3525i −0.466003 0.807141i
\(518\) −2.46835 1.42510i −0.108453 0.0626153i
\(519\) −4.16363 3.75989i −0.182763 0.165041i
\(520\) 1.83469 0.0804565
\(521\) 31.2308 1.36825 0.684124 0.729366i \(-0.260185\pi\)
0.684124 + 0.729366i \(0.260185\pi\)
\(522\) −22.9793 10.3109i −1.00578 0.451298i
\(523\) 30.0065 17.3243i 1.31209 0.757538i 0.329651 0.944103i \(-0.393069\pi\)
0.982443 + 0.186565i \(0.0597355\pi\)
\(524\) 19.2500i 0.840939i
\(525\) −0.881823 + 0.285110i −0.0384859 + 0.0124432i
\(526\) 19.9274 11.5051i 0.868878 0.501647i
\(527\) 9.49947 16.4536i 0.413803 0.716728i
\(528\) 6.04642 6.69569i 0.263137 0.291393i
\(529\) 9.09485 15.7527i 0.395428 0.684902i
\(530\) 5.66307 + 3.26957i 0.245988 + 0.142021i
\(531\) 16.9026 12.2058i 0.733511 0.529686i
\(532\) −2.27043 + 0.533722i −0.0984354 + 0.0231398i
\(533\) 8.58332i 0.371785i
\(534\) −5.91184 + 27.6162i −0.255830 + 1.19507i
\(535\) 17.2976 + 9.98679i 0.747842 + 0.431767i
\(536\) −0.445224 + 0.257050i −0.0192307 + 0.0111029i
\(537\) 4.86633 22.7322i 0.209997 0.980969i
\(538\) 11.9188 + 20.6440i 0.513856 + 0.890025i
\(539\) 34.9696i 1.50625i
\(540\) 4.19046 + 3.07247i 0.180329 + 0.132218i
\(541\) −18.2442 31.5999i −0.784379 1.35858i −0.929369 0.369151i \(-0.879648\pi\)
0.144990 0.989433i \(-0.453685\pi\)
\(542\) 10.8992 + 18.8780i 0.468163 + 0.810881i
\(543\) 3.56885 + 11.0382i 0.153154 + 0.473694i
\(544\) 4.54625i 0.194919i
\(545\) −4.01193 6.94887i −0.171852 0.297657i
\(546\) −1.66266 0.355929i −0.0711554 0.0152323i
\(547\) 32.3959 18.7038i 1.38515 0.799716i 0.392385 0.919801i \(-0.371650\pi\)
0.992764 + 0.120085i \(0.0383167\pi\)
\(548\) 1.62271 + 0.936869i 0.0693185 + 0.0400211i
\(549\) −2.50879 24.5538i −0.107072 1.04793i
\(550\) 5.20870i 0.222100i
\(551\) 35.6242 8.37438i 1.51764 0.356761i
\(552\) −3.41976 10.5771i −0.145555 0.450190i
\(553\) −4.09734 2.36560i −0.174237 0.100596i
\(554\) 3.16986 5.49035i 0.134674 0.233263i
\(555\) −6.84749 6.18350i −0.290660 0.262475i
\(556\) 3.33569 5.77758i 0.141465 0.245024i
\(557\) −17.6536 + 10.1923i −0.748005 + 0.431861i −0.824973 0.565173i \(-0.808810\pi\)
0.0769675 + 0.997034i \(0.475476\pi\)
\(558\) 7.33970 + 10.1640i 0.310714 + 0.430278i
\(559\) 15.4803i 0.654746i
\(560\) 0.463384 0.267535i 0.0195815 0.0113054i
\(561\) 30.4403 + 27.4885i 1.28519 + 1.16057i
\(562\) 23.2064 0.978901
\(563\) −4.90484 −0.206714 −0.103357 0.994644i \(-0.532958\pi\)
−0.103357 + 0.994644i \(0.532958\pi\)
\(564\) −4.72285 + 5.23000i −0.198868 + 0.220223i
\(565\) 14.5504 + 8.40067i 0.612140 + 0.353419i
\(566\) 8.02179 + 13.8941i 0.337181 + 0.584014i
\(567\) −3.20149 3.59733i −0.134450 0.151073i
\(568\) 3.29907 5.71415i 0.138426 0.239760i
\(569\) −16.9616 −0.711068 −0.355534 0.934663i \(-0.615701\pi\)
−0.355534 + 0.934663i \(0.615701\pi\)
\(570\) −7.54833 + 0.150951i −0.316165 + 0.00632263i
\(571\) −13.9462 −0.583632 −0.291816 0.956474i \(-0.594260\pi\)
−0.291816 + 0.956474i \(0.594260\pi\)
\(572\) −4.77817 + 8.27604i −0.199785 + 0.346039i
\(573\) −16.2513 3.47894i −0.678908 0.145335i
\(574\) −1.25162 2.16787i −0.0522417 0.0904852i
\(575\) 5.55808 + 3.20896i 0.231788 + 0.133823i
\(576\) −2.73709 1.22815i −0.114045 0.0511728i
\(577\) −4.90123 −0.204041 −0.102020 0.994782i \(-0.532531\pi\)
−0.102020 + 0.994782i \(0.532531\pi\)
\(578\) −3.66836 −0.152584
\(579\) 11.2088 12.4124i 0.465822 0.515843i
\(580\) −7.27074 + 4.19776i −0.301901 + 0.174303i
\(581\) 7.07142i 0.293372i
\(582\) 0.349315 + 1.08041i 0.0144796 + 0.0447843i
\(583\) −29.4972 + 17.0302i −1.22165 + 0.705319i
\(584\) 3.05629 5.29365i 0.126470 0.219053i
\(585\) −5.02171 2.25327i −0.207622 0.0931613i
\(586\) 10.4662 18.1280i 0.432354 0.748859i
\(587\) 39.6685 + 22.9026i 1.63730 + 0.945293i 0.981759 + 0.190130i \(0.0608910\pi\)
0.655537 + 0.755163i \(0.272442\pi\)
\(588\) 11.0645 3.57737i 0.456293 0.147528i
\(589\) −17.4412 5.25628i −0.718651 0.216581i
\(590\) 6.94966i 0.286113i
\(591\) 5.53074 + 1.18397i 0.227504 + 0.0487021i
\(592\) 4.61313 + 2.66339i 0.189598 + 0.109465i
\(593\) −23.0106 + 13.2852i −0.944933 + 0.545557i −0.891503 0.453014i \(-0.850349\pi\)
−0.0534296 + 0.998572i \(0.517015\pi\)
\(594\) −24.7729 + 10.9008i −1.01644 + 0.447266i
\(595\) 1.21628 + 2.10666i 0.0498626 + 0.0863646i
\(596\) 3.62387i 0.148439i
\(597\) −1.00836 + 0.326023i −0.0412696 + 0.0133432i
\(598\) 5.88745 + 10.1974i 0.240756 + 0.417001i
\(599\) 18.2454 + 31.6020i 0.745488 + 1.29122i 0.949967 + 0.312352i \(0.101117\pi\)
−0.204479 + 0.978871i \(0.565550\pi\)
\(600\) 1.64805 0.532846i 0.0672814 0.0217533i
\(601\) 5.57468i 0.227396i 0.993515 + 0.113698i \(0.0362696\pi\)
−0.993515 + 0.113698i \(0.963730\pi\)
\(602\) −2.25734 3.90982i −0.0920021 0.159352i
\(603\) 1.53431 0.156768i 0.0624820 0.00638411i
\(604\) 17.1005 9.87297i 0.695809 0.401725i
\(605\) −13.9694 8.06525i −0.567938 0.327899i
\(606\) −20.6789 4.42677i −0.840024 0.179825i
\(607\) 7.25553i 0.294493i −0.989100 0.147246i \(-0.952959\pi\)
0.989100 0.147246i \(-0.0470410\pi\)
\(608\) 4.24323 0.997481i 0.172086 0.0404532i
\(609\) 7.40337 2.39365i 0.300000 0.0969954i
\(610\) −7.12497 4.11360i −0.288482 0.166555i
\(611\) 3.73223 6.46441i 0.150990 0.261522i
\(612\) 5.58346 12.4435i 0.225698 0.502998i
\(613\) −3.18359 + 5.51414i −0.128584 + 0.222714i −0.923128 0.384492i \(-0.874377\pi\)
0.794544 + 0.607206i \(0.207710\pi\)
\(614\) 9.83298 5.67707i 0.396827 0.229108i
\(615\) −2.49284 7.71016i −0.100521 0.310904i
\(616\) 2.78702i 0.112292i
\(617\) 7.70794 4.45018i 0.310310 0.179158i −0.336755 0.941592i \(-0.609329\pi\)
0.647065 + 0.762435i \(0.275996\pi\)
\(618\) −11.6464 + 12.8970i −0.468487 + 0.518793i
\(619\) −9.83923 −0.395472 −0.197736 0.980255i \(-0.563359\pi\)
−0.197736 + 0.980255i \(0.563359\pi\)
\(620\) 4.17904 0.167834
\(621\) −3.63001 + 33.1503i −0.145667 + 1.33028i
\(622\) 5.38070 + 3.10655i 0.215746 + 0.124561i
\(623\) −4.36228 7.55569i −0.174771 0.302712i
\(624\) 3.10738 + 0.665201i 0.124395 + 0.0266293i
\(625\) −0.500000 + 0.866025i −0.0200000 + 0.0346410i
\(626\) 10.2254 0.408688
\(627\) 18.9775 34.4426i 0.757890 1.37550i
\(628\) −4.06776 −0.162321
\(629\) −12.1084 + 20.9724i −0.482795 + 0.836225i
\(630\) −1.59690 + 0.163163i −0.0636218 + 0.00650057i
\(631\) 8.42353 + 14.5900i 0.335335 + 0.580818i 0.983549 0.180641i \(-0.0578171\pi\)
−0.648214 + 0.761458i \(0.724484\pi\)
\(632\) 7.65758 + 4.42110i 0.304602 + 0.175862i
\(633\) −5.64898 + 6.25558i −0.224527 + 0.248637i
\(634\) 10.9204 0.433706
\(635\) 8.64884 0.343219
\(636\) 8.40597 + 7.59085i 0.333318 + 0.300997i
\(637\) −10.6673 + 6.15878i −0.422655 + 0.244020i
\(638\) 43.7297i 1.73128i
\(639\) −16.0477 + 11.5884i −0.634836 + 0.458430i
\(640\) −0.866025 + 0.500000i −0.0342327 + 0.0197642i
\(641\) −18.3162 + 31.7246i −0.723446 + 1.25305i 0.236164 + 0.971713i \(0.424110\pi\)
−0.959610 + 0.281333i \(0.909224\pi\)
\(642\) 25.6757 + 23.1860i 1.01334 + 0.915077i
\(643\) −16.7131 + 28.9479i −0.659099 + 1.14159i 0.321750 + 0.946825i \(0.395729\pi\)
−0.980849 + 0.194769i \(0.937604\pi\)
\(644\) 2.97396 + 1.71702i 0.117190 + 0.0676600i
\(645\) −4.49591 13.9055i −0.177026 0.547529i
\(646\) 4.53480 + 19.2908i 0.178419 + 0.758986i
\(647\) 23.6956i 0.931570i −0.884898 0.465785i \(-0.845772\pi\)
0.884898 0.465785i \(-0.154228\pi\)
\(648\) 5.98331 + 6.72310i 0.235047 + 0.264108i
\(649\) 31.3489 + 18.0993i 1.23055 + 0.710461i
\(650\) −1.58889 + 0.917346i −0.0623214 + 0.0359813i
\(651\) −3.78719 0.810730i −0.148432 0.0317750i
\(652\) −3.36667 5.83124i −0.131849 0.228369i
\(653\) 35.0646i 1.37218i 0.727515 + 0.686092i \(0.240675\pi\)
−0.727515 + 0.686092i \(0.759325\pi\)
\(654\) −4.27548 13.2237i −0.167184 0.517089i
\(655\) −9.62499 16.6710i −0.376079 0.651389i
\(656\) 2.33917 + 4.05157i 0.0913294 + 0.158187i
\(657\) −14.8667 + 10.7356i −0.580006 + 0.418837i
\(658\) 2.17694i 0.0848658i
\(659\) −7.25327 12.5630i −0.282547 0.489386i 0.689464 0.724320i \(-0.257846\pi\)
−0.972011 + 0.234934i \(0.924513\pi\)
\(660\) −1.88851 + 8.82185i −0.0735100 + 0.343390i
\(661\) 40.0197 23.1054i 1.55658 0.898695i 0.559005 0.829164i \(-0.311183\pi\)
0.997580 0.0695304i \(-0.0221501\pi\)
\(662\) −4.54482 2.62396i −0.176640 0.101983i
\(663\) −3.02417 + 14.1269i −0.117449 + 0.548643i
\(664\) 13.2159i 0.512876i
\(665\) 1.69939 1.59743i 0.0658993 0.0619457i
\(666\) −9.35551 12.9555i −0.362519 0.502017i
\(667\) −46.6630 26.9409i −1.80680 1.04316i
\(668\) 3.32598 5.76077i 0.128686 0.222891i
\(669\) 6.35824 7.04100i 0.245824 0.272221i
\(670\) 0.257050 0.445224i 0.00993071 0.0172005i
\(671\) 37.1118 21.4265i 1.43268 0.827161i
\(672\) 0.881823 0.285110i 0.0340171 0.0109983i
\(673\) 16.5098i 0.636405i 0.948023 + 0.318202i \(0.103079\pi\)
−0.948023 + 0.318202i \(0.896921\pi\)
\(674\) −10.1877 + 5.88185i −0.392414 + 0.226560i
\(675\) −5.16528 0.565605i −0.198812 0.0217701i
\(676\) 9.63391 0.370535
\(677\) −35.1622 −1.35139 −0.675696 0.737181i \(-0.736157\pi\)
−0.675696 + 0.737181i \(0.736157\pi\)
\(678\) 21.5979 + 19.5035i 0.829461 + 0.749029i
\(679\) −0.303779 0.175387i −0.0116580 0.00673072i
\(680\) −2.27312 3.93717i −0.0871703 0.150983i
\(681\) 4.45003 20.7876i 0.170525 0.796582i
\(682\) −10.8837 + 18.8511i −0.416757 + 0.721844i
\(683\) 37.8100 1.44676 0.723380 0.690450i \(-0.242587\pi\)
0.723380 + 0.690450i \(0.242587\pi\)
\(684\) −12.8392 2.48112i −0.490918 0.0948680i
\(685\) −1.87374 −0.0715919
\(686\) −3.66889 + 6.35471i −0.140079 + 0.242624i
\(687\) 9.14853 42.7359i 0.349038 1.63048i
\(688\) 4.21877 + 7.30712i 0.160839 + 0.278581i
\(689\) −10.3900 5.99866i −0.395827 0.228531i
\(690\) 8.25013 + 7.45013i 0.314077 + 0.283622i
\(691\) 32.1235 1.22203 0.611017 0.791617i \(-0.290761\pi\)
0.611017 + 0.791617i \(0.290761\pi\)
\(692\) −3.23896 −0.123127
\(693\) 3.42286 7.62831i 0.130024 0.289775i
\(694\) 18.1066 10.4539i 0.687318 0.396823i
\(695\) 6.67138i 0.253060i
\(696\) −13.8363 + 4.47352i −0.524462 + 0.169568i
\(697\) −18.4194 + 10.6345i −0.697686 + 0.402809i
\(698\) −1.74956 + 3.03033i −0.0662218 + 0.114700i
\(699\) −20.2782 + 22.4557i −0.766991 + 0.849352i
\(700\) −0.267535 + 0.463384i −0.0101119 + 0.0175143i
\(701\) −23.8066 13.7447i −0.899161 0.519131i −0.0222334 0.999753i \(-0.507078\pi\)
−0.876928 + 0.480622i \(0.840411\pi\)
\(702\) −7.68820 5.63703i −0.290172 0.212756i
\(703\) 22.2313 + 6.69988i 0.838468 + 0.252691i
\(704\) 5.20870i 0.196310i
\(705\) 1.47511 6.89074i 0.0555559 0.259520i
\(706\) −0.0531058 0.0306607i −0.00199866 0.00115393i
\(707\) 5.65768 3.26646i 0.212779 0.122848i
\(708\) 2.51972 11.7705i 0.0946970 0.442362i
\(709\) 2.73932 + 4.74464i 0.102877 + 0.178189i 0.912869 0.408253i \(-0.133862\pi\)
−0.809992 + 0.586441i \(0.800528\pi\)
\(710\) 6.59813i 0.247624i
\(711\) −15.5297 21.5056i −0.582409 0.806522i
\(712\) 8.15273 + 14.1209i 0.305536 + 0.529205i
\(713\) 13.4104 + 23.2274i 0.502222 + 0.869874i
\(714\) 1.29618 + 4.00898i 0.0485083 + 0.150032i
\(715\) 9.55635i 0.357387i
\(716\) −6.71091 11.6236i −0.250799 0.434396i
\(717\) 47.2386 + 10.1124i 1.76416 + 0.377656i
\(718\) −15.0843 + 8.70894i −0.562942 + 0.325015i
\(719\) −39.6746 22.9061i −1.47961 0.854254i −0.479878 0.877335i \(-0.659319\pi\)
−0.999734 + 0.0230807i \(0.992653\pi\)
\(720\) 2.98446 0.304938i 0.111224 0.0113644i
\(721\) 5.36825i 0.199924i
\(722\) 17.0101 8.46509i 0.633049 0.315038i
\(723\) −13.4146 41.4903i −0.498893 1.54304i
\(724\) 5.80040 + 3.34886i 0.215570 + 0.124459i
\(725\) 4.19776 7.27074i 0.155901 0.270028i
\(726\) −20.7355 18.7248i −0.769567 0.694943i
\(727\) 4.46581 7.73500i 0.165628 0.286875i −0.771250 0.636532i \(-0.780368\pi\)
0.936878 + 0.349657i \(0.113702\pi\)
\(728\) −0.850166 + 0.490844i −0.0315093 + 0.0181919i
\(729\) −8.11990 25.7501i −0.300737 0.953707i
\(730\) 6.11259i 0.226237i
\(731\) −33.2200 + 19.1796i −1.22869 + 0.709382i
\(732\) −10.5759 9.55040i −0.390898 0.352993i
\(733\) −9.80467 −0.362144 −0.181072 0.983470i \(-0.557957\pi\)
−0.181072 + 0.983470i \(0.557957\pi\)
\(734\) 2.69852 0.0996043
\(735\) −7.79348 + 8.63035i −0.287467 + 0.318335i
\(736\) −5.55808 3.20896i −0.204874 0.118284i
\(737\) 1.33890 + 2.31903i 0.0493188 + 0.0854227i
\(738\) −1.42660 13.9624i −0.0525140 0.513961i
\(739\) 21.8672 37.8751i 0.804397 1.39326i −0.112300 0.993674i \(-0.535822\pi\)
0.916697 0.399582i \(-0.130845\pi\)
\(740\) −5.32678 −0.195816
\(741\) 13.8488 0.276948i 0.508750 0.0101739i
\(742\) −3.49890 −0.128449
\(743\) 16.1731 28.0126i 0.593332 1.02768i −0.400448 0.916319i \(-0.631146\pi\)
0.993780 0.111361i \(-0.0355211\pi\)
\(744\) 7.07794 + 1.51519i 0.259490 + 0.0555494i
\(745\) −1.81193 3.13836i −0.0663841 0.114981i
\(746\) −9.03359 5.21555i −0.330743 0.190955i
\(747\) 16.2310 36.1730i 0.593863 1.32350i
\(748\) 23.6800 0.865827
\(749\) −10.6873 −0.390504
\(750\) −1.16083 + 1.28548i −0.0423876 + 0.0469392i
\(751\) −9.87219 + 5.69971i −0.360241 + 0.207985i −0.669187 0.743094i \(-0.733357\pi\)
0.308945 + 0.951080i \(0.400024\pi\)
\(752\) 4.06851i 0.148363i
\(753\) 9.58543 + 29.6470i 0.349312 + 1.08040i
\(754\) 13.3396 7.70160i 0.485798 0.280476i
\(755\) −9.87297 + 17.1005i −0.359314 + 0.622350i
\(756\) −2.76378 0.302638i −0.100518 0.0110068i
\(757\) −8.74057 + 15.1391i −0.317682 + 0.550241i −0.980004 0.198978i \(-0.936238\pi\)
0.662322 + 0.749219i \(0.269571\pi\)
\(758\) 7.96532 + 4.59878i 0.289313 + 0.167035i
\(759\) −55.0927 + 17.8125i −1.99974 + 0.646552i
\(760\) −3.17601 + 2.98546i −0.115206 + 0.108294i
\(761\) 34.6889i 1.25747i 0.777620 + 0.628735i \(0.216427\pi\)
−0.777620 + 0.628735i \(0.783573\pi\)
\(762\) 14.6483 + 3.13579i 0.530653 + 0.113598i
\(763\) 3.71813 + 2.14666i 0.134605 + 0.0777144i
\(764\) −8.30976 + 4.79764i −0.300636 + 0.173573i
\(765\) 1.38632 + 13.5681i 0.0501226 + 0.490556i
\(766\) −5.34538 9.25846i −0.193136 0.334522i
\(767\) 12.7505i 0.460393i
\(768\) −1.64805 + 0.532846i −0.0594690 + 0.0192274i
\(769\) 27.5176 + 47.6619i 0.992310 + 1.71873i 0.603352 + 0.797475i \(0.293831\pi\)
0.388958 + 0.921256i \(0.372835\pi\)
\(770\) −1.39351 2.41363i −0.0502185 0.0869810i
\(771\) 25.1230 8.12274i 0.904784 0.292533i
\(772\) 9.65584i 0.347521i
\(773\) −17.5536 30.4038i −0.631360 1.09355i −0.987274 0.159029i \(-0.949164\pi\)
0.355914 0.934519i \(-0.384170\pi\)
\(774\) −2.57292 25.1815i −0.0924818 0.905131i
\(775\) −3.61915 + 2.08952i −0.130004 + 0.0750577i