Properties

Label 570.2.s.b.221.4
Level $570$
Weight $2$
Character 570.221
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 221.4
Character \(\chi\) \(=\) 570.221
Dual form 570.2.s.b.521.4

$q$-expansion

\(f(q)\) \(=\) \(q+(0.500000 + 0.866025i) q^{2} +(-1.28548 - 1.16083i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(0.362568 - 1.69368i) q^{6} -0.535070 q^{7} -1.00000 q^{8} +(0.304938 + 2.98446i) q^{9} +O(q^{10})\) \(q+(0.500000 + 0.866025i) q^{2} +(-1.28548 - 1.16083i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(0.362568 - 1.69368i) q^{6} -0.535070 q^{7} -1.00000 q^{8} +(0.304938 + 2.98446i) 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} +(1.69368 + 0.362568i) 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} +(0.687824 + 0.621126i) q^{21} +(4.51086 - 2.60435i) q^{22} +(-5.55808 - 3.20896i) q^{23} +(1.28548 + 1.16083i) 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} +(-6.04642 + 6.69569i) q^{33} +(3.93717 + 2.27312i) q^{34} +(0.463384 - 0.267535i) q^{35} +(-2.73709 - 1.22815i) 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} +(-0.193999 + 0.906236i) 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} +(-0.362568 + 1.69368i) q^{48} -6.71370 q^{49} +1.00000 q^{50} +(-7.69988 - 1.64832i) q^{51} +(-1.58889 + 0.917346i) q^{52} +(3.26957 - 5.66307i) q^{53} +(5.16528 + 0.565605i) q^{54} +(2.60435 + 4.51086i) q^{55} +0.535070 q^{56} +(-3.22787 + 6.82502i) q^{57} +8.39553 q^{58} +(3.47483 + 6.01858i) q^{59} +(-1.16083 + 1.28548i) q^{60} +(4.11360 - 7.12497i) q^{61} +(3.61915 - 2.08952i) q^{62} +(-0.163163 - 1.59690i) q^{63} +1.00000 q^{64} -1.83469 q^{65} +(-8.82185 - 1.88851i) 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} +(-0.304938 - 2.98446i) 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} +(2.12977 - 2.35847i) q^{78} +(7.65758 - 4.42110i) q^{79} +(0.866025 + 0.500000i) q^{80} +(-8.81403 + 1.82015i) 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} +(1.22815 - 2.73709i) q^{90} +(-0.850166 - 0.490844i) q^{91} +(5.55808 - 3.20896i) q^{92} +(-4.85116 + 5.37208i) 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} +(15.5452 - 1.58833i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q + 12q^{2} + 2q^{3} - 12q^{4} + 4q^{6} - 12q^{7} - 24q^{8} + 2q^{9} + O(q^{10}) \) \( 24q + 12q^{2} + 2q^{3} - 12q^{4} + 4q^{6} - 12q^{7} - 24q^{8} + 2q^{9} + 2q^{12} + 18q^{13} - 6q^{14} - 12q^{16} - 12q^{17} - 2q^{18} + 6q^{19} + 6q^{21} + 18q^{22} - 2q^{24} + 12q^{25} - 28q^{27} + 6q^{28} + 12q^{32} - 8q^{33} - 12q^{34} - 4q^{36} - 6q^{38} + 40q^{39} - 6q^{41} - 6q^{42} - 22q^{43} + 18q^{44} + 8q^{45} - 12q^{47} - 4q^{48} + 12q^{49} + 24q^{50} - 4q^{51} - 18q^{52} - 8q^{53} - 32q^{54} + 12q^{56} - 20q^{57} - 26q^{59} + 22q^{61} + 18q^{62} + 30q^{63} + 24q^{64} - 8q^{65} - 22q^{66} - 48q^{67} + 64q^{69} - 24q^{71} - 2q^{72} - 8q^{73} - 30q^{74} - 2q^{75} - 12q^{76} + 2q^{78} + 18q^{79} - 6q^{81} + 6q^{82} - 12q^{84} + 22q^{86} - 24q^{87} - 28q^{89} + 16q^{90} + 18q^{91} + 14q^{93} - 2q^{96} + 6q^{97} + 6q^{98} - 52q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{5}{6}\right)\) \(1\)

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
\(3\) −1.28548 1.16083i −0.742174 0.670207i
\(4\) −0.500000 + 0.866025i −0.250000 + 0.433013i
\(5\) −0.866025 + 0.500000i −0.387298 + 0.223607i
\(6\) 0.362568 1.69368i 0.148018 0.691441i
\(7\) −0.535070 −0.202237 −0.101119 0.994874i \(-0.532242\pi\)
−0.101119 + 0.994874i \(0.532242\pi\)
\(8\) −1.00000 −0.353553
\(9\) 0.304938 + 2.98446i 0.101646 + 0.994821i
\(10\) −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 0.703885 0.710314i \(-0.251447\pi\)
−0.263207 + 0.964739i \(0.584780\pi\)
\(14\) −0.267535 0.463384i −0.0715017 0.123845i
\(15\) 1.69368 + 0.362568i 0.437306 + 0.0936147i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) 3.93717 2.27312i 0.954903 0.551313i 0.0603023 0.998180i \(-0.480794\pi\)
0.894601 + 0.446867i \(0.147460\pi\)
\(18\) −2.43215 + 1.75631i −0.573263 + 0.413967i
\(19\) −1.25777 4.17349i −0.288553 0.957464i
\(20\) 1.00000i 0.223607i
\(21\) 0.687824 + 0.621126i 0.150095 + 0.135541i
\(22\) 4.51086 2.60435i 0.961719 0.555249i
\(23\) −5.55808 3.20896i −1.15894 0.669114i −0.207890 0.978152i \(-0.566660\pi\)
−0.951050 + 0.309038i \(0.899993\pi\)
\(24\) 1.28548 + 1.16083i 0.262398 + 0.236954i
\(25\) 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 −0.152722 0.988269i \(-0.548804\pi\)
0.932227 0.361873i \(-0.117863\pi\)
\(30\) 0.532846 + 1.64805i 0.0972839 + 0.300892i
\(31\) 4.17904i 0.750577i −0.926908 0.375289i \(-0.877544\pi\)
0.926908 0.375289i \(-0.122456\pi\)
\(32\) 0.500000 0.866025i 0.0883883 0.153093i
\(33\) −6.04642 + 6.69569i −1.05255 + 1.16557i
\(34\) 3.93717 + 2.27312i 0.675218 + 0.389837i
\(35\) 0.463384 0.267535i 0.0783262 0.0452216i
\(36\) −2.73709 1.22815i −0.456181 0.204691i
\(37\) 5.32678i 0.875718i 0.899044 + 0.437859i \(0.144263\pi\)
−0.899044 + 0.437859i \(0.855737\pi\)
\(38\) 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 \(-0.285706\pi\)
−0.988827 + 0.149067i \(0.952373\pi\)
\(42\) −0.193999 + 0.906236i −0.0299347 + 0.139835i
\(43\) 4.21877 + 7.30712i 0.643356 + 1.11433i 0.984679 + 0.174379i \(0.0557919\pi\)
−0.341322 + 0.939946i \(0.610875\pi\)
\(44\) 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 \(-0.429228\pi\)
−0.734454 + 0.678659i \(0.762562\pi\)
\(48\) −0.362568 + 1.69368i −0.0523322 + 0.244461i
\(49\) −6.71370 −0.959100
\(50\) 1.00000 0.141421
\(51\) −7.69988 1.64832i −1.07820 0.230812i
\(52\) −1.58889 + 0.917346i −0.220339 + 0.127213i
\(53\) 3.26957 5.66307i 0.449110 0.777882i −0.549218 0.835679i \(-0.685074\pi\)
0.998328 + 0.0577971i \(0.0184077\pi\)
\(54\) 5.16528 + 0.565605i 0.702905 + 0.0769690i
\(55\) 2.60435 + 4.51086i 0.351170 + 0.608245i
\(56\) 0.535070 0.0715017
\(57\) −3.22787 + 6.82502i −0.427542 + 0.903995i
\(58\) 8.39553 1.10239
\(59\) 3.47483 + 6.01858i 0.452384 + 0.783552i 0.998534 0.0541355i \(-0.0172403\pi\)
−0.546149 + 0.837688i \(0.683907\pi\)
\(60\) −1.16083 + 1.28548i −0.149863 + 0.165955i
\(61\) 4.11360 7.12497i 0.526693 0.912259i −0.472823 0.881157i \(-0.656765\pi\)
0.999516 0.0311016i \(-0.00990154\pi\)
\(62\) 3.61915 2.08952i 0.459633 0.265369i
\(63\) −0.163163 1.59690i −0.0205566 0.201190i
\(64\) 1.00000 0.125000
\(65\) −1.83469 −0.227565
\(66\) −8.82185 1.88851i −1.08589 0.232459i
\(67\) −0.445224 0.257050i −0.0543927 0.0314037i 0.472557 0.881300i \(-0.343331\pi\)
−0.526950 + 0.849896i \(0.676664\pi\)
\(68\) 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 \(-0.294720\pi\)
−0.992651 + 0.121011i \(0.961386\pi\)
\(72\) −0.304938 2.98446i −0.0359373 0.351722i
\(73\) 3.05629 + 5.29365i 0.357712 + 0.619575i 0.987578 0.157128i \(-0.0502236\pi\)
−0.629866 + 0.776704i \(0.716890\pi\)
\(74\) −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
\(78\) 2.12977 2.35847i 0.241149 0.267044i
\(79\) 7.65758 4.42110i 0.861545 0.497413i −0.00298455 0.999996i \(-0.500950\pi\)
0.864529 + 0.502582i \(0.167617\pi\)
\(80\) 0.866025 + 0.500000i 0.0968246 + 0.0559017i
\(81\) −8.81403 + 1.82015i −0.979336 + 0.202239i
\(82\) 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 0.00366426 + 0.999993i \(0.498834\pi\)
−0.867852 + 0.496823i \(0.834500\pi\)
\(90\) 1.22815 2.73709i 0.129458 0.288514i
\(91\) −0.850166 0.490844i −0.0891217 0.0514544i
\(92\) 5.55808 3.20896i 0.579470 0.334557i
\(93\) −4.85116 + 5.37208i −0.503042 + 0.557059i
\(94\) 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 −0.470901 0.882186i \(-0.656071\pi\)
0.528545 + 0.848905i \(0.322738\pi\)
\(98\) −3.35685 5.81424i −0.339093 0.587326i
\(99\) 15.5452 1.58833i 1.56235 0.159633i
\(100\) 0.500000 + 0.866025i 0.0500000 + 0.0866025i
\(101\) 10.5737 + 6.10474i 1.05212 + 0.607444i 0.923243 0.384216i \(-0.125528\pi\)
0.128881 + 0.991660i \(0.458861\pi\)
\(102\) −2.42245 7.49245i −0.239858 0.741863i
\(103\) 10.0328i 0.988561i −0.869303 0.494280i \(-0.835432\pi\)
0.869303 0.494280i \(-0.164568\pi\)
\(104\) −1.58889 0.917346i −0.155803 0.0899531i
\(105\) −0.906236 0.193999i −0.0884396 0.0189324i
\(106\) 6.53915 0.635138
\(107\) −19.9736 −1.93092 −0.965459 0.260554i \(-0.916095\pi\)
−0.965459 + 0.260554i \(0.916095\pi\)
\(108\) 2.09281 + 4.75606i 0.201381 + 0.457652i
\(109\) −6.94887 + 4.01193i −0.665581 + 0.384273i −0.794400 0.607395i \(-0.792215\pi\)
0.128819 + 0.991668i \(0.458881\pi\)
\(110\) −2.60435 + 4.51086i −0.248315 + 0.430094i
\(111\) 6.18350 6.84749i 0.586912 0.649935i
\(112\) 0.267535 + 0.463384i 0.0252797 + 0.0437857i
\(113\) −16.8013 −1.58054 −0.790269 0.612760i \(-0.790059\pi\)
−0.790269 + 0.612760i \(0.790059\pi\)
\(114\) −7.52457 + 0.617087i −0.704741 + 0.0577955i
\(115\) 6.41792 0.598474
\(116\) 4.19776 + 7.27074i 0.389753 + 0.675071i
\(117\) −2.25327 + 5.02171i −0.208315 + 0.464257i
\(118\) −3.47483 + 6.01858i −0.319884 + 0.554055i
\(119\) −2.10666 + 1.21628i −0.193117 + 0.111496i
\(120\) −1.69368 0.362568i −0.154611 0.0330978i
\(121\) −16.1305 −1.46641
\(122\) 8.22721 0.744856
\(123\) −1.69622 + 7.92361i −0.152943 + 0.714448i
\(124\) 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 0.794043 0.607862i \(-0.207973\pi\)
−0.129403 + 0.991592i \(0.541306\pi\)
\(128\) 0.500000 + 0.866025i 0.0441942 + 0.0765466i
\(129\) 3.05918 14.2905i 0.269346 1.25821i
\(130\) −0.917346 1.58889i −0.0804565 0.139355i
\(131\) 16.6710 9.62499i 1.45655 0.840939i 0.457710 0.889102i \(-0.348670\pi\)
0.998840 + 0.0481626i \(0.0153366\pi\)
\(132\) −2.77543 8.58420i −0.241570 0.747159i
\(133\) 0.672996 + 2.23311i 0.0583562 + 0.193635i
\(134\) 0.514100i 0.0444115i
\(135\) −0.565605 + 5.16528i −0.0486795 + 0.444556i
\(136\) −3.93717 + 2.27312i −0.337609 + 0.194919i
\(137\) 1.62271 + 0.936869i 0.138637 + 0.0800421i 0.567714 0.823226i \(-0.307828\pi\)
−0.429077 + 0.903268i \(0.641161\pi\)
\(138\) −7.45013 + 8.25013i −0.634197 + 0.702298i
\(139\) 3.33569 5.77758i 0.282929 0.490048i −0.689176 0.724594i \(-0.742027\pi\)
0.972105 + 0.234546i \(0.0753604\pi\)
\(140\) 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
\(147\) 8.63035 + 7.79348i 0.711820 + 0.642795i
\(148\) −4.61313 2.66339i −0.379197 0.218929i
\(149\) 3.13836 1.81193i 0.257104 0.148439i −0.365909 0.930651i \(-0.619242\pi\)
0.623013 + 0.782211i \(0.285908\pi\)
\(150\) −1.28548 1.16083i −0.104959 0.0947815i
\(151\) 19.7459i 1.60690i −0.595371 0.803451i \(-0.702995\pi\)
0.595371 0.803451i \(-0.297005\pi\)
\(152\) 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
\(156\) 3.10738 + 0.665201i 0.248789 + 0.0532587i
\(157\) 2.03388 + 3.52278i 0.162321 + 0.281149i 0.935701 0.352795i \(-0.114769\pi\)
−0.773380 + 0.633943i \(0.781435\pi\)
\(158\) 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
\(162\) −5.98331 6.72310i −0.470093 0.528216i
\(163\) 6.73334 0.527396 0.263698 0.964605i \(-0.415058\pi\)
0.263698 + 0.964605i \(0.415058\pi\)
\(164\) 4.67835 0.365318
\(165\) 1.88851 8.82185i 0.147020 0.686780i
\(166\) −11.4453 + 6.60794i −0.888327 + 0.512876i
\(167\) −3.32598 + 5.76077i −0.257372 + 0.445782i −0.965537 0.260265i \(-0.916190\pi\)
0.708165 + 0.706047i \(0.249523\pi\)
\(168\) −0.687824 0.621126i −0.0530667 0.0479209i
\(169\) −4.81695 8.34321i −0.370535 0.641785i
\(170\) −4.54625 −0.348681
\(171\) 12.0721 5.02643i 0.923175 0.384381i
\(172\) −8.43754 −0.643356
\(173\) −1.61948 2.80502i −0.123127 0.213262i 0.797872 0.602826i \(-0.205959\pi\)
−0.920999 + 0.389565i \(0.872626\pi\)
\(174\) −10.7923 9.74580i −0.818163 0.738827i
\(175\) −0.267535 + 0.463384i −0.0202237 + 0.0350285i
\(176\) −4.51086 + 2.60435i −0.340019 + 0.196310i
\(177\) 2.51972 11.7705i 0.189394 0.884723i
\(178\) −16.3055 −1.22215
\(179\) −13.4218 −1.00319 −0.501597 0.865101i \(-0.667254\pi\)
−0.501597 + 0.865101i \(0.667254\pi\)
\(180\) 2.98446 0.304938i 0.222449 0.0227287i
\(181\) −5.80040 3.34886i −0.431140 0.248919i 0.268692 0.963226i \(-0.413409\pi\)
−0.699832 + 0.714307i \(0.746742\pi\)
\(182\) 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
\(186\) −7.07794 1.51519i −0.518980 0.111099i
\(187\) −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 \(-0.112849\pi\)
\(192\) −1.28548 1.16083i −0.0927718 0.0837758i
\(193\) 8.36220 4.82792i 0.601924 0.347521i −0.167874 0.985808i \(-0.553690\pi\)
0.769798 + 0.638287i \(0.220357\pi\)
\(194\) 0.567737 + 0.327783i 0.0407611 + 0.0235334i
\(195\) 2.35847 + 2.12977i 0.168893 + 0.152516i
\(196\) 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 −0.876665 0.481101i \(-0.840237\pi\)
0.854978 + 0.518663i \(0.173570\pi\)
\(200\) −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
\(204\) 5.27743 5.84413i 0.369494 0.409171i
\(205\) 4.05157 + 2.33917i 0.282974 + 0.163375i
\(206\) 8.68866 5.01640i 0.605367 0.349509i
\(207\) 7.88215 17.5664i 0.547847 1.22095i
\(208\) 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 −0.638000 0.770037i \(-0.720238\pi\)
0.347871 + 0.937542i \(0.386905\pi\)
\(212\) 3.26957 + 5.66307i 0.224555 + 0.388941i
\(213\) −2.39227 + 11.1751i −0.163916 + 0.765706i
\(214\) −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
\(219\) 2.21623 10.3528i 0.149759 0.699574i
\(220\) −5.20870 −0.351170
\(221\) 8.34096 0.561074
\(222\) 9.02185 + 1.93132i 0.605507 + 0.129622i
\(223\) 4.74349 2.73866i 0.317648 0.183394i −0.332696 0.943034i \(-0.607958\pi\)
0.650344 + 0.759640i \(0.274625\pi\)
\(224\) −0.267535 + 0.463384i −0.0178754 + 0.0309611i
\(225\) 2.73709 + 1.22815i 0.182473 + 0.0818765i
\(226\) −8.40067 14.5504i −0.558805 0.967878i
\(227\) −12.2736 −0.814630 −0.407315 0.913288i \(-0.633535\pi\)
−0.407315 + 0.913288i \(0.633535\pi\)
\(228\) −4.29670 6.20793i −0.284556 0.411130i
\(229\) 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
\(231\) 3.23526 3.58266i 0.212864 0.235722i
\(232\) −4.19776 + 7.27074i −0.275597 + 0.477347i
\(233\) 15.1283 8.73433i 0.991088 0.572205i 0.0854886 0.996339i \(-0.472755\pi\)
0.905599 + 0.424134i \(0.139422\pi\)
\(234\) −5.47557 + 0.559466i −0.357949 + 0.0365735i
\(235\) 4.06851 0.265400
\(236\) −6.94966 −0.452384
\(237\) −14.9759 3.20590i −0.972786 0.208246i
\(238\) −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 0.994842 0.101432i \(-0.0323424\pi\)
0.409579 + 0.912275i \(0.365676\pi\)
\(242\) −8.06525 13.9694i −0.518454 0.897989i
\(243\) 13.4432 + 7.89183i 0.862380 + 0.506261i
\(244\) 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
\(249\) 15.3414 16.9888i 0.972223 1.07662i
\(250\) −0.866025 + 0.500000i −0.0547723 + 0.0316228i
\(251\) 15.5790 + 8.99456i 0.983340 + 0.567732i 0.903277 0.429058i \(-0.141154\pi\)
0.0800634 + 0.996790i \(0.474488\pi\)
\(252\) 1.46453 + 0.657144i 0.0922569 + 0.0413962i
\(253\) −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 \(-0.991048\pi\)
0.524155 + 0.851623i \(0.324381\pi\)
\(258\) 13.9055 4.49591i 0.865719 0.279903i
\(259\) 2.85020i 0.177103i
\(260\) 0.917346 1.58889i 0.0568914 0.0985387i
\(261\) 22.9793 + 10.3109i 1.42238 + 0.638231i
\(262\) 16.6710 + 9.62499i 1.02994 + 0.594634i
\(263\) 19.9274 11.5051i 1.22878 0.709436i 0.262004 0.965067i \(-0.415617\pi\)
0.966774 + 0.255631i \(0.0822832\pi\)
\(264\) 6.04642 6.69569i 0.372131 0.412091i
\(265\) 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 −0.958270 0.285866i \(-0.907719\pi\)
0.231567 0.972819i \(-0.425615\pi\)
\(270\) −4.75606 + 2.09281i −0.289445 + 0.127364i
\(271\) 10.8992 + 18.8780i 0.662082 + 1.14676i 0.980068 + 0.198664i \(0.0636602\pi\)
−0.317986 + 0.948095i \(0.603006\pi\)
\(272\) −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
\(276\) −10.8699 2.32693i −0.654290 0.140065i
\(277\) −6.33971 −0.380916 −0.190458 0.981695i \(-0.560997\pi\)
−0.190458 + 0.981695i \(0.560997\pi\)
\(278\) 6.67138 0.400123
\(279\) 12.4722 1.27435i 0.746690 0.0762931i
\(280\) −0.463384 + 0.267535i −0.0276925 + 0.0159883i
\(281\) 11.6032 20.0973i 0.692188 1.19890i −0.278932 0.960311i \(-0.589980\pi\)
0.971120 0.238594i \(-0.0766864\pi\)
\(282\) −4.72285 + 5.23000i −0.281242 + 0.311442i
\(283\) 8.02179 + 13.8941i 0.476846 + 0.825921i 0.999648 0.0265330i \(-0.00844670\pi\)
−0.522802 + 0.852454i \(0.675113\pi\)
\(284\) 6.59813 0.391527
\(285\) −0.617087 7.52457i −0.0365531 0.445717i
\(286\) 9.55635 0.565079
\(287\) 1.25162 + 2.16787i 0.0738809 + 0.127965i
\(288\) 2.73709 + 1.22815i 0.161284 + 0.0723693i
\(289\) 1.83418 3.17689i 0.107893 0.186876i
\(290\) −7.27074 + 4.19776i −0.426953 + 0.246501i
\(291\) −1.11032 0.237687i −0.0650880 0.0139335i
\(292\) −6.11259 −0.357712
\(293\) 20.9324 1.22288 0.611441 0.791290i \(-0.290590\pi\)
0.611441 + 0.791290i \(0.290590\pi\)
\(294\) −2.43417 + 11.3708i −0.141964 + 0.663161i
\(295\) −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
\(300\) 0.362568 1.69368i 0.0209329 0.0977845i
\(301\) −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
\(306\) −5.58346 + 12.4435i −0.319185 + 0.711346i
\(307\) −9.83298 + 5.67707i −0.561198 + 0.324008i −0.753626 0.657303i \(-0.771697\pi\)
0.192428 + 0.981311i \(0.438364\pi\)
\(308\) −2.41363 1.39351i −0.137529 0.0794025i
\(309\) −11.6464 + 12.8970i −0.662540 + 0.733685i
\(310\) −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 −0.973568 0.228398i \(-0.926651\pi\)
0.684582 + 0.728936i \(0.259985\pi\)
\(314\) −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 \(-0.734116\pi\)
0.977633 + 0.210317i \(0.0674497\pi\)
\(318\) −8.40597 7.59085i −0.471383 0.425674i
\(319\) −37.8711 21.8649i −2.12037 1.22420i
\(320\) −0.866025 + 0.500000i −0.0484123 + 0.0279508i
\(321\) 25.6757 + 23.1860i 1.43308 + 1.29411i
\(322\) 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
\(327\) 13.5898 + 2.90920i 0.751519 + 0.160879i
\(328\) 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 \(-0.953931\pi\)
0.989545 0.144226i \(-0.0460691\pi\)
\(332\) −11.4453 6.60794i −0.628142 0.362658i
\(333\) −15.8976 + 1.62434i −0.871182 + 0.0890131i
\(334\) −6.65196 −0.363979
\(335\) 0.514100 0.0280883
\(336\) 0.193999 0.906236i 0.0105835 0.0494392i
\(337\) 10.1877 5.88185i 0.554957 0.320405i −0.196162 0.980572i \(-0.562848\pi\)
0.751119 + 0.660167i \(0.229514\pi\)
\(338\) 4.81695 8.34321i 0.262008 0.453811i
\(339\) 21.5979 + 19.5035i 1.17303 + 1.05929i
\(340\) −2.27312 3.93717i −0.123277 0.213523i
\(341\) −21.7673 −1.17877
\(342\) 10.3891 + 7.94151i 0.561776 + 0.429428i
\(343\) 7.33779 0.396203
\(344\) −4.21877 7.30712i −0.227461 0.393974i
\(345\) −8.25013 7.45013i −0.444172 0.401101i
\(346\) 1.61948 2.80502i 0.0870638 0.150799i
\(347\) 18.1066 10.4539i 0.972015 0.561193i 0.0721651 0.997393i \(-0.477009\pi\)
0.899850 + 0.436200i \(0.143676\pi\)
\(348\) 3.04395 14.2193i 0.163173 0.762235i
\(349\) 3.49912 0.187304 0.0936518 0.995605i \(-0.470146\pi\)
0.0936518 + 0.995605i \(0.470146\pi\)
\(350\) −0.535070 −0.0286007
\(351\) 8.72591 3.83966i 0.465755 0.204946i
\(352\) −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
\(357\) 4.11997 + 0.881968i 0.218052 + 0.0466787i
\(358\) −6.71091 11.6236i −0.354683 0.614328i
\(359\) −15.0843 + 8.70894i −0.796120 + 0.459640i −0.842113 0.539302i \(-0.818688\pi\)
0.0459927 + 0.998942i \(0.485355\pi\)
\(360\) 1.75631 + 2.43215i 0.0925659 + 0.128186i
\(361\) −15.8360 + 10.4986i −0.833475 + 0.552558i
\(362\) 6.69773i 0.352025i
\(363\) 20.7355 + 18.7248i 1.08833 + 0.982798i
\(364\) 0.850166 0.490844i 0.0445608 0.0257272i
\(365\) −5.29365 3.05629i −0.277083 0.159974i
\(366\) −10.5759 9.55040i −0.552813 0.499208i
\(367\) −1.34926 + 2.33699i −0.0704309 + 0.121990i −0.899090 0.437763i \(-0.855771\pi\)
0.828659 + 0.559753i \(0.189104\pi\)
\(368\) 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 \(-0.912960\pi\)
0.962846 0.270051i \(-0.0870405\pi\)
\(374\) 11.8400 20.5075i 0.612232 1.06042i
\(375\) 1.16083 1.28548i 0.0599451 0.0663821i
\(376\) 3.52343 + 2.03425i 0.181707 + 0.104909i
\(377\) 13.3396 7.70160i 0.687022 0.396653i
\(378\) −2.76378 0.302638i −0.142154 0.0155660i
\(379\) 9.19756i 0.472447i 0.971699 + 0.236223i \(0.0759097\pi\)
−0.971699 + 0.236223i \(0.924090\pi\)
\(380\) −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 \(-0.0786058\pi\)
−0.696527 + 0.717530i \(0.745272\pi\)
\(384\) 0.362568 1.69368i 0.0185022 0.0864301i
\(385\) −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 \(-0.539207\pi\)
−0.920895 + 0.389810i \(0.872541\pi\)
\(390\) −0.665201 + 3.10738i −0.0336837 + 0.157348i
\(391\) −29.1774 −1.47557
\(392\) 6.71370 0.339093
\(393\) −32.6033 6.97943i −1.64462 0.352066i
\(394\) −2.82802 + 1.63276i −0.142474 + 0.0822572i
\(395\) −4.42110 + 7.65758i −0.222450 + 0.385295i
\(396\) −6.39704 + 14.2567i −0.321464 + 0.716424i
\(397\) 11.0077 + 19.0660i 0.552463 + 0.956893i 0.998096 + 0.0616779i \(0.0196452\pi\)
−0.445633 + 0.895216i \(0.647022\pi\)
\(398\) −0.611852 −0.0306694
\(399\) 1.72714 3.65186i 0.0864650 0.182822i
\(400\) −1.00000 −0.0500000
\(401\) 2.08815 + 3.61678i 0.104277 + 0.180614i 0.913443 0.406967i \(-0.133414\pi\)
−0.809165 + 0.587581i \(0.800080\pi\)
\(402\) −0.596784 + 0.660867i −0.0297649 + 0.0329611i
\(403\) 3.83362 6.64003i 0.190966 0.330763i
\(404\) −10.5737 + 6.10474i −0.526062 + 0.303722i
\(405\) 6.72310 5.98331i 0.334073 0.297313i
\(406\) −4.49219 −0.222944
\(407\) 27.7456 1.37530
\(408\) 7.69988 + 1.64832i 0.381201 + 0.0816042i
\(409\) 5.63570 + 3.25377i 0.278667 + 0.160889i 0.632820 0.774299i \(-0.281897\pi\)
−0.354153 + 0.935188i \(0.615231\pi\)
\(410\) 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
\(414\) 19.1540 1.95707i 0.941370 0.0961845i
\(415\) −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 \(0.708505\pi\)
\(420\) 0.621126 0.687824i 0.0303079 0.0335624i
\(421\) 22.1581 12.7930i 1.07992 0.623491i 0.149044 0.988831i \(-0.452380\pi\)
0.930874 + 0.365339i \(0.119047\pi\)
\(422\) −4.21436 2.43316i −0.205152 0.118444i
\(423\) 4.99673 11.1359i 0.242949 0.541444i
\(424\) −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 \(-0.756337\pi\)
0.960582 + 0.277998i \(0.0896708\pi\)
\(432\) −5.16528 0.565605i −0.248515 0.0272127i
\(433\) −21.0832 12.1724i −1.01319 0.584968i −0.101069 0.994879i \(-0.532226\pi\)
−0.912125 + 0.409911i \(0.865560\pi\)
\(434\) −1.93650 + 1.11804i −0.0929549 + 0.0536675i
\(435\) 9.74580 10.7923i 0.467275 0.517452i
\(436\) 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 −0.543075 + 0.839684i \(0.682740\pi\)
−0.998725 + 0.0504744i \(0.983927\pi\)
\(440\) −2.60435 4.51086i −0.124157 0.215047i
\(441\) −2.04726 20.0368i −0.0974886 0.954133i
\(442\) 4.17048 + 7.22348i 0.198369 + 0.343586i
\(443\) −14.9279 8.61861i −0.709244 0.409482i 0.101537 0.994832i \(-0.467624\pi\)
−0.810781 + 0.585349i \(0.800957\pi\)
\(444\) 2.83835 + 8.77882i 0.134702 + 0.416624i
\(445\) 16.3055i 0.772953i
\(446\) 4.74349 + 2.73866i 0.224611 + 0.129679i
\(447\) −6.13766 1.31390i −0.290301 0.0621453i
\(448\) −0.535070 −0.0252797
\(449\) −14.5905 −0.688568 −0.344284 0.938865i \(-0.611878\pi\)
−0.344284 + 0.938865i \(0.611878\pi\)
\(450\) 0.304938 + 2.98446i 0.0143749 + 0.140689i
\(451\) −21.1034 + 12.1840i −0.993719 + 0.573724i
\(452\) 8.40067 14.5504i 0.395134 0.684393i
\(453\) −22.9217 + 25.3831i −1.07696 + 1.19260i
\(454\) −6.13682 10.6293i −0.288015 0.498857i
\(455\) 0.981688 0.0460222
\(456\) 3.22787 6.82502i 0.151159 0.319611i
\(457\) −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
\(459\) 2.57138 23.4826i 0.120022 1.09608i
\(460\) −3.20896 + 5.55808i −0.149619 + 0.259147i
\(461\) 12.6225 7.28761i 0.587889 0.339418i −0.176373 0.984323i \(-0.556437\pi\)
0.764262 + 0.644905i \(0.223103\pi\)
\(462\) 4.72031 + 1.01048i 0.219608 + 0.0470119i
\(463\) 20.1328 0.935649 0.467825 0.883821i \(-0.345038\pi\)
0.467825 + 0.883821i \(0.345038\pi\)
\(464\) −8.39553 −0.389753
\(465\) 1.51519 7.07794i 0.0702650 0.328232i
\(466\) 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
\(471\) 1.47484 6.88947i 0.0679570 0.317450i
\(472\) −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
\(477\) 17.8982 + 8.03103i 0.819503 + 0.367716i
\(478\) −24.1544 + 13.9456i −1.10480 + 0.637855i
\(479\) 21.8777 + 12.6311i 0.999618 + 0.577130i 0.908135 0.418677i \(-0.137506\pi\)
0.0914830 + 0.995807i \(0.470839\pi\)
\(480\) 1.16083 1.28548i 0.0529845 0.0586740i
\(481\) −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 \(-0.785955\pi\)
0.782302 0.622899i \(-0.214045\pi\)
\(488\) −4.11360 + 7.12497i −0.186214 + 0.322532i
\(489\) −8.65560 7.81628i −0.391420 0.353464i
\(490\) 5.81424 + 3.35685i 0.262660 + 0.151647i
\(491\) −9.52214 + 5.49761i −0.429728 + 0.248104i −0.699231 0.714896i \(-0.746474\pi\)
0.269503 + 0.963000i \(0.413141\pi\)
\(492\) −6.01394 5.43078i −0.271129 0.244838i
\(493\) 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
\(498\) 22.3834 + 4.79166i 1.00303 + 0.214719i
\(499\) 7.16095 + 12.4031i 0.320568 + 0.555241i 0.980605 0.195992i \(-0.0627928\pi\)
−0.660037 + 0.751233i \(0.729459\pi\)
\(500\) −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 \(-0.340328\pi\)
−0.518908 + 0.854830i \(0.673661\pi\)
\(504\) 0.163163 + 1.59690i 0.00726785 + 0.0711314i
\(505\) −12.2095 −0.543315
\(506\) −33.4290 −1.48610
\(507\) −3.49295 + 16.3167i −0.155127 + 0.724652i
\(508\) −7.49011 + 4.32442i −0.332320 + 0.191865i
\(509\) 9.01611 15.6164i 0.399632 0.692183i −0.594048 0.804429i \(-0.702471\pi\)
0.993680 + 0.112246i \(0.0358046\pi\)
\(510\) 5.84413 + 5.27743i 0.258782 + 0.233688i
\(511\) −1.63533 2.83247i −0.0723427 0.125301i
\(512\) −1.00000 −0.0441942
\(513\) −21.3533 7.55226i −0.942771 0.333440i
\(514\) −15.2441 −0.672387
\(515\) 5.01640 + 8.68866i 0.221049 + 0.382868i
\(516\) 10.8463 + 9.79456i 0.477483 + 0.431182i
\(517\) −10.5958 + 18.3525i −0.466003 + 0.807141i
\(518\) 2.46835 1.42510i 0.108453 0.0626153i
\(519\) −1.17434 + 5.48575i −0.0515480 + 0.240798i
\(520\) 1.83469 0.0804565
\(521\) −31.2308 −1.36825 −0.684124 0.729366i \(-0.739815\pi\)
−0.684124 + 0.729366i \(0.739815\pi\)
\(522\) 2.56011 + 25.0561i 0.112053 + 1.09668i
\(523\) 30.0065 + 17.3243i 1.31209 + 0.757538i 0.982443 0.186565i \(-0.0597355\pi\)
0.329651 + 0.944103i \(0.393069\pi\)
\(524\) 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
\(528\) 8.82185 + 1.88851i 0.383922 + 0.0821867i
\(529\) 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
\(534\) 20.9604 + 18.9279i 0.907045 + 0.819090i
\(535\) 17.2976 9.98679i 0.747842 0.431767i
\(536\) 0.445224 + 0.257050i 0.0192307 + 0.0111029i
\(537\) 17.2535 + 15.5805i 0.744545 + 0.672347i
\(538\) 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 0.144990 + 0.989433i \(0.453685\pi\)
−0.929369 + 0.369151i \(0.879648\pi\)
\(542\) −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
\(546\) −1.13957 + 1.26194i −0.0487693 + 0.0540062i
\(547\) 32.3959 + 18.7038i 1.38515 + 0.799716i 0.992764 0.120085i \(-0.0383167\pi\)
0.392385 + 0.919801i \(0.371650\pi\)
\(548\) −1.62271 + 0.936869i −0.0693185 + 0.0400211i
\(549\) 22.5186 + 10.1042i 0.961070 + 0.431238i
\(550\) 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
\(555\) −1.93132 + 9.02185i −0.0819800 + 0.382956i
\(556\) 3.33569 + 5.77758i 0.141465 + 0.245024i
\(557\) 17.6536 + 10.1923i 0.748005 + 0.431861i 0.824973 0.565173i \(-0.191190\pi\)
−0.0769675 + 0.997034i \(0.524524\pi\)
\(558\) 7.33970 + 10.1640i 0.310714 + 0.430278i
\(559\) 15.4803i 0.654746i
\(560\) −0.463384 0.267535i −0.0195815 0.0113054i
\(561\) −8.58562 + 40.1063i −0.362485 + 1.69329i
\(562\) 23.2064 0.978901
\(563\) 4.90484 0.206714 0.103357 0.994644i \(-0.467042\pi\)
0.103357 + 0.994644i \(0.467042\pi\)
\(564\) −6.89074 1.47511i −0.290153 0.0621134i
\(565\) 14.5504 8.40067i 0.612140 0.353419i
\(566\) −8.02179 + 13.8941i −0.337181 + 0.584014i
\(567\) 4.71612 0.973907i 0.198058 0.0409003i
\(568\) 3.29907 + 5.71415i 0.138426 + 0.239760i
\(569\) 16.9616 0.711068 0.355534 0.934663i \(-0.384299\pi\)
0.355534 + 0.934663i \(0.384299\pi\)
\(570\) 6.20793 4.29670i 0.260021 0.179969i
\(571\) −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
\(573\) −11.1385 + 12.3346i −0.465318 + 0.515284i
\(574\) −1.25162 + 2.16787i −0.0522417 + 0.0904852i
\(575\) −5.55808 + 3.20896i −0.231788 + 0.133823i
\(576\) 0.304938 + 2.98446i 0.0127057 + 0.124353i
\(577\) −4.90123 −0.204041 −0.102020 0.994782i \(-0.532531\pi\)
−0.102020 + 0.994782i \(0.532531\pi\)
\(578\) 3.66836 0.152584
\(579\) −16.3539 3.50090i −0.679644 0.145492i
\(580\) −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
\(585\) −0.559466 5.47557i −0.0231311 0.226387i
\(586\) 10.4662 + 18.1280i 0.432354 + 0.748859i
\(587\) −39.6685 + 22.9026i −1.63730 + 0.945293i −0.655537 + 0.755163i \(0.727558\pi\)
−0.981759 + 0.190130i \(0.939109\pi\)
\(588\) −11.0645 + 3.57737i −0.456293 + 0.147528i
\(589\) −17.4412 + 5.25628i −0.718651 + 0.216581i
\(590\) 6.94966i 0.286113i
\(591\) 3.79072 4.19777i 0.155929 0.172673i
\(592\) 4.61313 2.66339i 0.189598 0.109465i
\(593\) 23.0106 + 13.2852i 0.944933 + 0.545557i 0.891503 0.453014i \(-0.149651\pi\)
0.0534296 + 0.998572i \(0.482985\pi\)
\(594\) 2.94606 26.9044i 0.120878 1.10390i
\(595\) 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 0.204479 + 0.978871i \(0.434450\pi\)
−0.949967 + 0.312352i \(0.898883\pi\)
\(600\) 1.64805 0.532846i 0.0672814 0.0217533i
\(601\) 5.57468i 0.227396i −0.993515 0.113698i \(-0.963730\pi\)
0.993515 0.113698i \(-0.0362696\pi\)
\(602\) 2.25734 3.90982i 0.0920021 0.159352i
\(603\) 0.631390 1.40714i 0.0257122 0.0573031i
\(604\) 17.1005 + 9.87297i 0.695809 + 0.401725i
\(605\) 13.9694 8.06525i 0.567938 0.327899i
\(606\) 14.1732 15.6951i 0.575745 0.637569i
\(607\) 7.25553i 0.294493i 0.989100 + 0.147246i \(0.0470410\pi\)
−0.989100 + 0.147246i \(0.952959\pi\)
\(608\) −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
\(612\) −13.5681 + 1.38632i −0.548458 + 0.0560387i
\(613\) −3.18359 5.51414i −0.128584 0.222714i 0.794544 0.607206i \(-0.207710\pi\)
−0.923128 + 0.384492i \(0.874377\pi\)
\(614\) −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 \(-0.390671\pi\)
−0.647065 + 0.762435i \(0.724004\pi\)
\(618\) −16.9923 3.63757i −0.683532 0.146325i
\(619\) −9.83923 −0.395472 −0.197736 0.980255i \(-0.563359\pi\)
−0.197736 + 0.980255i \(0.563359\pi\)
\(620\) −4.17904 −0.167834
\(621\) −30.5240 + 13.4315i −1.22489 + 0.538987i
\(622\) 5.38070 3.10655i 0.215746 0.124561i
\(623\) 4.36228 7.55569i 0.174771 0.302712i
\(624\) −2.12977 + 2.35847i −0.0852590 + 0.0944142i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) −10.2254 −0.408688
\(627\) 35.5494 + 16.8130i 1.41971 + 0.671447i
\(628\) −4.06776 −0.162321
\(629\) 12.1084 + 20.9724i 0.482795 + 0.836225i
\(630\) −0.657144 + 1.46453i −0.0261813 + 0.0583484i
\(631\) 8.42353 14.5900i 0.335335 0.580818i −0.648214 0.761458i \(-0.724484\pi\)
0.983549 + 0.180641i \(0.0578171\pi\)
\(632\) −7.65758 + 4.42110i −0.304602 + 0.175862i
\(633\) 8.24198 + 1.76437i 0.327589 + 0.0701276i
\(634\) 10.9204 0.433706
\(635\) −8.64884 −0.343219
\(636\) 2.37089 11.0752i 0.0940117 0.439160i
\(637\) −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 0.959610 + 0.281333i \(0.0907764\pi\)
−0.236164 + 0.971713i \(0.575890\pi\)
\(642\) −7.24178 + 33.8288i −0.285810 + 1.33512i
\(643\) −16.7131 28.9479i −0.659099 1.14159i −0.980849 0.194769i \(-0.937604\pi\)
0.321750 0.946825i \(-0.395729\pi\)
\(644\) −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 \(-0.154228\pi\)
\(648\) 8.81403 1.82015i 0.346248 0.0715022i
\(649\) 31.3489 18.0993i 1.23055 0.710461i
\(650\) 1.58889 + 0.917346i 0.0623214 + 0.0359813i
\(651\) 2.59571 2.87444i 0.101734 0.112658i
\(652\) −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 \(-0.742154\pi\)
0.972011 + 0.234934i \(0.0754873\pi\)
\(660\) 6.69569 + 6.04642i 0.260630 + 0.235357i
\(661\) 40.0197 + 23.1054i 1.55658 + 0.898695i 0.997580 + 0.0695304i \(0.0221501\pi\)
0.559005 + 0.829164i \(0.311183\pi\)
\(662\) 4.54482 2.62396i 0.176640 0.101983i
\(663\) −10.7222 9.68245i −0.416414 0.376035i
\(664\) 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
\(669\) −9.27680 1.98590i −0.358662 0.0767793i
\(670\) 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 \(-0.896921\pi\)
0.948023 0.318202i \(-0.103079\pi\)
\(674\) 10.1877 + 5.88185i 0.392414 + 0.226560i
\(675\) −2.09281 4.75606i −0.0805523 0.183061i
\(676\) 9.63391 0.370535
\(677\) 35.1622 1.35139 0.675696 0.737181i \(-0.263843\pi\)
0.675696 + 0.737181i \(0.263843\pi\)
\(678\) −6.09163 + 28.4561i −0.233948 + 1.09285i
\(679\) −0.303779 + 0.175387i −0.0116580 + 0.00673072i
\(680\) 2.27312 3.93717i 0.0871703 0.150983i
\(681\) 15.7776 + 14.2476i 0.604597 + 0.545970i
\(682\) −10.8837 18.8511i −0.416757 0.721844i
\(683\) −37.8100 −1.44676 −0.723380 0.690450i \(-0.757413\pi\)
−0.723380 + 0.690450i \(0.757413\pi\)
\(684\) −1.68302 + 12.9679i −0.0643520 + 0.495842i
\(685\) −1.87374 −0.0715919
\(686\) 3.66889 + 6.35471i 0.140079 + 0.242624i
\(687\) −32.4361 29.2908i −1.23751 1.11751i
\(688\) 4.21877 7.30712i 0.160839 0.278581i
\(689\) 10.3900 5.99866i 0.395827 0.228531i
\(690\) 2.32693 10.8699i 0.0885848 0.413810i
\(691\) 32.1235 1.22203 0.611017 0.791617i \(-0.290761\pi\)
0.611017 + 0.791617i \(0.290761\pi\)
\(692\) 3.23896 0.123127
\(693\) −8.31774 + 0.849866i −0.315965 + 0.0322837i
\(694\) 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
\(699\) −29.5863 6.33358i −1.11906 0.239558i
\(700\) −0.267535 0.463384i −0.0101119 0.0175143i
\(701\) 23.8066 13.7447i 0.899161 0.519131i 0.0222334 0.999753i \(-0.492922\pi\)
0.876928 + 0.480622i \(0.159589\pi\)
\(702\) 7.68820 + 5.63703i 0.290172 + 0.212756i
\(703\) 22.2313 6.69988i 0.838468 0.252691i
\(704\) 5.20870i 0.196310i
\(705\) −5.23000 4.72285i −0.196973 0.177873i
\(706\) −0.0531058 + 0.0306607i −0.00199866 + 0.00115393i
\(707\) −5.65768 3.26646i −0.212779 0.122848i
\(708\) 8.93367 + 8.06738i 0.335748 + 0.303191i
\(709\) 2.73932 4.74464i 0.102877 0.178189i −0.809992 0.586441i \(-0.800528\pi\)
0.912869 + 0.408253i \(0.133862\pi\)
\(710\) 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
\(717\) 32.3769 35.8536i 1.20914 1.33898i
\(718\) −15.0843 8.70894i −0.562942 0.325015i
\(719\) 39.6746 22.9061i 1.47961 0.854254i 0.479878 0.877335i \(-0.340681\pi\)
0.999734 + 0.0230807i \(0.00734747\pi\)
\(720\) −1.22815 + 2.73709i −0.0457703 + 0.102005i
\(721\) 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
\(726\) −5.84841 + 27.3199i −0.217055 + 1.01394i
\(727\) 4.46581 + 7.73500i 0.165628 + 0.286875i 0.936878 0.349657i \(-0.113702\pi\)
−0.771250 + 0.636532i \(0.780368\pi\)
\(728\) 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
\(732\) 2.98292 13.9342i 0.110252 0.515024i
\(733\) −9.80467 −0.362144 −0.181072 0.983470i \(-0.557957\pi\)
−0.181072 + 0.983470i \(0.557957\pi\)
\(734\) −2.69852 −0.0996043
\(735\) −11.3708 2.43417i −0.419420 0.0897859i
\(736\) −5.55808 + 3.20896i −0.204874 + 0.118284i
\(737\) −1.33890 + 2.31903i −0.0493188 + 0.0854227i
\(738\) 12.8051 + 5.74570i 0.471361 + 0.211502i
\(739\) 21.8672 + 37.8751i 0.804397 + 1.39326i 0.916697 + 0.399582i \(0.130845\pi\)
−0.112300 + 0.993674i \(0.535822\pi\)
\(740\) 5.32678 0.195816
\(741\) −11.3896 + 7.88312i −0.418409 + 0.289594i
\(742\) −3.49890 −0.128449
\(743\) −16.1731 28.0126i −0.593332 1.02768i −0.993780 0.111361i \(-0.964479\pi\)
0.400448 0.916319i \(-0.368854\pi\)
\(744\) 4.85116 5.37208i 0.177852 0.196950i
\(745\) −1.81193 + 3.13836i −0.0663841 + 0.114981i
\(746\) 9.03359 5.21555i 0.330743 0.190955i
\(747\) −39.4423 + 4.03002i −1.44312 + 0.147451i
\(748\) 23.6800 0.865827
\(749\) 10.6873 0.390504
\(750\) 1.69368 + 0.362568i 0.0618444 + 0.0132391i
\(751\) −9.87219 5.69971i −0.360241 0.207985i 0.308945 0.951080i \(-0.400024\pi\)
−0.669187 + 0.743094i \(0.733357\pi\)
\(752\) 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
\(756\) −1.11980 2.54483i −0.0407267 0.0925544i
\(757\) −8.74057 15.1391i −0.317682 0.550241i 0.662322 0.749219i \(-0.269571\pi\)
−0.980004 + 0.198978i \(0.936238\pi\)
\(758\) −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 \(0.783573\pi\)
\(762\) 10.0398 11.1179i 0.363705 0.402760i
\(763\) 3.71813 2.14666i 0.134605 0.0777144i
\(764\) 8.30976 + 4.79764i 0.300636 + 0.173573i
\(765\) −12.4435 5.58346i −0.449895 0.201870i
\(766\) −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 0.388958 0.921256i \(-0.372835\pi\)
0.603352 0.797475i \(-0.293831\pi\)
\(770\) 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 −0.355914 0.934519i \(-0.615830\pi\)
0.987274 0.159029i \(-0.0508362\pi\)
\(774\) −23.0943 10.3625i −0.830107 0.372474i
\(775\) −3.61915 2.08952i −0.130004