Properties

Label 483.2.bf.a.10.5
Level $483$
Weight $2$
Character 483.10
Analytic conductor $3.857$
Analytic rank $0$
Dimension $640$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.bf (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(640\)
Relative dimension: \(32\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 10.5
Character \(\chi\) \(=\) 483.10
Dual form 483.2.bf.a.145.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.647644 + 1.87125i) q^{2} +(0.458227 + 0.888835i) q^{3} +(-1.51001 - 1.18748i) q^{4} +(-3.91898 + 0.374217i) q^{5} +(-1.96000 + 0.281805i) q^{6} +(-1.01941 - 2.44148i) q^{7} +(-0.131596 + 0.0845715i) q^{8} +(-0.580057 + 0.814576i) q^{9} +O(q^{10})\) \(q+(-0.647644 + 1.87125i) q^{2} +(0.458227 + 0.888835i) q^{3} +(-1.51001 - 1.18748i) q^{4} +(-3.91898 + 0.374217i) q^{5} +(-1.96000 + 0.281805i) q^{6} +(-1.01941 - 2.44148i) q^{7} +(-0.131596 + 0.0845715i) q^{8} +(-0.580057 + 0.814576i) q^{9} +(1.83785 - 7.57573i) q^{10} +(0.645660 - 0.223465i) q^{11} +(0.363552 - 1.88629i) q^{12} +(-0.0976592 - 0.332597i) q^{13} +(5.22881 - 0.326361i) q^{14} +(-2.12840 - 3.31185i) q^{15} +(-0.978813 - 4.03472i) q^{16} +(5.85483 + 2.34392i) q^{17} +(-1.14860 - 1.61298i) q^{18} +(1.61603 - 0.646960i) q^{19} +(6.36207 + 4.08865i) q^{20} +(1.70295 - 2.02484i) q^{21} +1.35291i q^{22} +(-4.15203 - 2.40013i) q^{23} +(-0.135471 - 0.0782141i) q^{24} +(10.3087 - 1.98684i) q^{25} +(0.685619 + 0.0326600i) q^{26} +(-0.989821 - 0.142315i) q^{27} +(-1.35989 + 4.89719i) q^{28} +(-0.951297 - 6.61641i) q^{29} +(7.57573 - 1.83785i) q^{30} +(-4.91106 + 0.233942i) q^{31} +(7.87244 + 0.751727i) q^{32} +(0.494482 + 0.471488i) q^{33} +(-8.17789 + 9.43779i) q^{34} +(4.90869 + 9.18661i) q^{35} +(1.84319 - 0.541209i) q^{36} +(-8.88359 - 6.32597i) q^{37} +(0.164009 + 3.44298i) q^{38} +(0.250874 - 0.239208i) q^{39} +(0.484073 - 0.380679i) q^{40} +(-10.0291 - 4.58013i) q^{41} +(2.68606 + 4.49801i) q^{42} +(2.14542 - 3.33833i) q^{43} +(-1.24031 - 0.429277i) q^{44} +(1.96840 - 3.40937i) q^{45} +(7.18027 - 6.21504i) q^{46} +(-6.49244 + 3.74841i) q^{47} +(3.13769 - 2.71882i) q^{48} +(-4.92160 + 4.97773i) q^{49} +(-2.95851 + 20.5769i) q^{50} +(0.599478 + 6.27802i) q^{51} +(-0.247487 + 0.618193i) q^{52} +(0.0565734 + 0.0593325i) q^{53} +(0.907358 - 1.76003i) q^{54} +(-2.44670 + 1.11737i) q^{55} +(0.340629 + 0.235075i) q^{56} +(1.31555 + 1.13993i) q^{57} +(12.9970 + 2.50497i) q^{58} +(-7.52852 - 1.82640i) q^{59} +(-0.718872 + 7.52836i) q^{60} +(6.51667 + 3.35958i) q^{61} +(2.74285 - 9.34130i) q^{62} +(2.58008 + 0.585807i) q^{63} +(-3.05580 + 6.69128i) q^{64} +(0.507188 + 1.26689i) q^{65} +(-1.20252 + 0.619941i) q^{66} +(-0.257243 - 1.33470i) q^{67} +(-6.05747 - 10.4919i) q^{68} +(0.230747 - 4.79028i) q^{69} +(-20.3695 + 3.23571i) q^{70} +(0.530127 + 0.611800i) q^{71} +(0.00744315 - 0.156251i) q^{72} +(-1.37288 + 1.74576i) q^{73} +(17.5909 - 12.5264i) q^{74} +(6.48970 + 8.25232i) q^{75} +(-3.20847 - 0.942092i) q^{76} +(-1.20378 - 1.34856i) q^{77} +(0.285139 + 0.624368i) q^{78} +(4.52434 - 4.74500i) q^{79} +(5.34581 + 15.4457i) q^{80} +(-0.327068 - 0.945001i) q^{81} +(15.0658 - 15.8006i) q^{82} +(5.09021 + 11.1460i) q^{83} +(-4.97593 + 1.03530i) q^{84} +(-23.8221 - 6.99479i) q^{85} +(4.85737 + 6.17665i) q^{86} +(5.44499 - 3.87736i) q^{87} +(-0.0660673 + 0.0840115i) q^{88} +(0.122645 - 2.57464i) q^{89} +(5.10495 + 5.89142i) q^{90} +(-0.712472 + 0.577485i) q^{91} +(3.41950 + 8.55469i) q^{92} +(-2.45831 - 4.25792i) q^{93} +(-2.80941 - 14.5766i) q^{94} +(-6.09107 + 3.14016i) q^{95} +(2.93920 + 7.34177i) q^{96} +(-6.54959 + 14.3416i) q^{97} +(-6.12712 - 12.4333i) q^{98} +(-0.192490 + 0.655561i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + O(q^{10}) \) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + 4q^{18} - 28q^{23} + 56q^{25} - 84q^{26} - 176q^{28} - 24q^{29} + 12q^{31} + 36q^{32} - 76q^{35} + 28q^{36} + 44q^{37} - 110q^{42} - 88q^{43} + 154q^{44} + 8q^{46} + 12q^{47} - 8q^{49} - 212q^{50} + 44q^{51} + 108q^{52} - 110q^{56} - 88q^{57} + 2q^{58} - 36q^{59} - 168q^{64} - 48q^{70} + 16q^{71} + 12q^{72} - 48q^{73} - 22q^{74} + 48q^{75} + 32q^{78} - 44q^{79} - 594q^{80} + 32q^{81} + 24q^{82} + 352q^{85} - 36q^{87} - 330q^{88} + 244q^{92} - 24q^{93} - 486q^{94} - 154q^{95} - 60q^{96} - 24q^{98} - 44q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{3}{22}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.647644 + 1.87125i −0.457954 + 1.32317i 0.445806 + 0.895130i \(0.352917\pi\)
−0.903760 + 0.428041i \(0.859204\pi\)
\(3\) 0.458227 + 0.888835i 0.264557 + 0.513169i
\(4\) −1.51001 1.18748i −0.755005 0.593742i
\(5\) −3.91898 + 0.374217i −1.75262 + 0.167355i −0.921407 0.388599i \(-0.872959\pi\)
−0.831213 + 0.555954i \(0.812353\pi\)
\(6\) −1.96000 + 0.281805i −0.800165 + 0.115046i
\(7\) −1.01941 2.44148i −0.385301 0.922791i
\(8\) −0.131596 + 0.0845715i −0.0465261 + 0.0299005i
\(9\) −0.580057 + 0.814576i −0.193352 + 0.271525i
\(10\) 1.83785 7.57573i 0.581180 2.39566i
\(11\) 0.645660 0.223465i 0.194674 0.0673772i −0.227991 0.973663i \(-0.573216\pi\)
0.422665 + 0.906286i \(0.361095\pi\)
\(12\) 0.363552 1.88629i 0.104948 0.544524i
\(13\) −0.0976592 0.332597i −0.0270858 0.0922457i 0.944841 0.327530i \(-0.106216\pi\)
−0.971927 + 0.235284i \(0.924398\pi\)
\(14\) 5.22881 0.326361i 1.39746 0.0872237i
\(15\) −2.12840 3.31185i −0.549550 0.855116i
\(16\) −0.978813 4.03472i −0.244703 1.00868i
\(17\) 5.85483 + 2.34392i 1.42000 + 0.568484i 0.949459 0.313892i \(-0.101633\pi\)
0.470545 + 0.882376i \(0.344057\pi\)
\(18\) −1.14860 1.61298i −0.270728 0.380184i
\(19\) 1.61603 0.646960i 0.370742 0.148423i −0.178807 0.983884i \(-0.557224\pi\)
0.549549 + 0.835461i \(0.314800\pi\)
\(20\) 6.36207 + 4.08865i 1.42260 + 0.914251i
\(21\) 1.70295 2.02484i 0.371614 0.441856i
\(22\) 1.35291i 0.288442i
\(23\) −4.15203 2.40013i −0.865759 0.500461i
\(24\) −0.135471 0.0782141i −0.0276529 0.0159654i
\(25\) 10.3087 1.98684i 2.06174 0.397368i
\(26\) 0.685619 + 0.0326600i 0.134461 + 0.00640516i
\(27\) −0.989821 0.142315i −0.190491 0.0273885i
\(28\) −1.35989 + 4.89719i −0.256996 + 0.925481i
\(29\) −0.951297 6.61641i −0.176651 1.22864i −0.864444 0.502730i \(-0.832329\pi\)
0.687792 0.725908i \(-0.258580\pi\)
\(30\) 7.57573 1.83785i 1.38313 0.335544i
\(31\) −4.91106 + 0.233942i −0.882052 + 0.0420173i −0.483719 0.875224i \(-0.660714\pi\)
−0.398333 + 0.917241i \(0.630411\pi\)
\(32\) 7.87244 + 0.751727i 1.39166 + 0.132888i
\(33\) 0.494482 + 0.471488i 0.0860783 + 0.0820755i
\(34\) −8.17789 + 9.43779i −1.40250 + 1.61857i
\(35\) 4.90869 + 9.18661i 0.829720 + 1.55282i
\(36\) 1.84319 0.541209i 0.307198 0.0902015i
\(37\) −8.88359 6.32597i −1.46045 1.03998i −0.987276 0.159016i \(-0.949168\pi\)
−0.473176 0.880968i \(-0.656893\pi\)
\(38\) 0.164009 + 3.44298i 0.0266058 + 0.558525i
\(39\) 0.250874 0.239208i 0.0401720 0.0383039i
\(40\) 0.484073 0.380679i 0.0765386 0.0601906i
\(41\) −10.0291 4.58013i −1.56628 0.715295i −0.571815 0.820382i \(-0.693761\pi\)
−0.994463 + 0.105087i \(0.966488\pi\)
\(42\) 2.68606 + 4.49801i 0.414469 + 0.694058i
\(43\) 2.14542 3.33833i 0.327173 0.509091i −0.638233 0.769843i \(-0.720334\pi\)
0.965406 + 0.260753i \(0.0839707\pi\)
\(44\) −1.24031 0.429277i −0.186984 0.0647159i
\(45\) 1.96840 3.40937i 0.293432 0.508239i
\(46\) 7.18027 6.21504i 1.05867 0.916358i
\(47\) −6.49244 + 3.74841i −0.947020 + 0.546762i −0.892154 0.451732i \(-0.850806\pi\)
−0.0548659 + 0.998494i \(0.517473\pi\)
\(48\) 3.13769 2.71882i 0.452886 0.392428i
\(49\) −4.92160 + 4.97773i −0.703086 + 0.711105i
\(50\) −2.95851 + 20.5769i −0.418396 + 2.91001i
\(51\) 0.599478 + 6.27802i 0.0839438 + 0.879099i
\(52\) −0.247487 + 0.618193i −0.0343203 + 0.0857280i
\(53\) 0.0565734 + 0.0593325i 0.00777096 + 0.00814994i 0.727608 0.685993i \(-0.240632\pi\)
−0.719837 + 0.694143i \(0.755784\pi\)
\(54\) 0.907358 1.76003i 0.123476 0.239510i
\(55\) −2.44670 + 1.11737i −0.329913 + 0.150666i
\(56\) 0.340629 + 0.235075i 0.0455185 + 0.0314132i
\(57\) 1.31555 + 1.13993i 0.174248 + 0.150987i
\(58\) 12.9970 + 2.50497i 1.70659 + 0.328919i
\(59\) −7.52852 1.82640i −0.980129 0.237777i −0.286477 0.958087i \(-0.592484\pi\)
−0.693652 + 0.720310i \(0.743999\pi\)
\(60\) −0.718872 + 7.52836i −0.0928059 + 0.971908i
\(61\) 6.51667 + 3.35958i 0.834374 + 0.430150i 0.821803 0.569771i \(-0.192968\pi\)
0.0125705 + 0.999921i \(0.495999\pi\)
\(62\) 2.74285 9.34130i 0.348343 1.18635i
\(63\) 2.58008 + 0.585807i 0.325060 + 0.0738047i
\(64\) −3.05580 + 6.69128i −0.381976 + 0.836410i
\(65\) 0.507188 + 1.26689i 0.0629089 + 0.157139i
\(66\) −1.20252 + 0.619941i −0.148020 + 0.0763095i
\(67\) −0.257243 1.33470i −0.0314272 0.163060i 0.962824 0.270128i \(-0.0870659\pi\)
−0.994252 + 0.107068i \(0.965854\pi\)
\(68\) −6.05747 10.4919i −0.734577 1.27232i
\(69\) 0.230747 4.79028i 0.0277787 0.576682i
\(70\) −20.3695 + 3.23571i −2.43462 + 0.386742i
\(71\) 0.530127 + 0.611800i 0.0629145 + 0.0726073i 0.786334 0.617801i \(-0.211976\pi\)
−0.723420 + 0.690408i \(0.757431\pi\)
\(72\) 0.00744315 0.156251i 0.000877184 0.0184144i
\(73\) −1.37288 + 1.74576i −0.160683 + 0.204325i −0.859727 0.510753i \(-0.829367\pi\)
0.699044 + 0.715079i \(0.253609\pi\)
\(74\) 17.5909 12.5264i 2.04489 1.45616i
\(75\) 6.48970 + 8.25232i 0.749366 + 0.952896i
\(76\) −3.20847 0.942092i −0.368037 0.108065i
\(77\) −1.20378 1.34856i −0.137183 0.153683i
\(78\) 0.285139 + 0.624368i 0.0322857 + 0.0706957i
\(79\) 4.52434 4.74500i 0.509029 0.533854i −0.418197 0.908356i \(-0.637338\pi\)
0.927226 + 0.374502i \(0.122186\pi\)
\(80\) 5.34581 + 15.4457i 0.597680 + 1.72688i
\(81\) −0.327068 0.945001i −0.0363409 0.105000i
\(82\) 15.0658 15.8006i 1.66374 1.74488i
\(83\) 5.09021 + 11.1460i 0.558723 + 1.22343i 0.952588 + 0.304265i \(0.0984107\pi\)
−0.393864 + 0.919169i \(0.628862\pi\)
\(84\) −4.97593 + 1.03530i −0.542919 + 0.112960i
\(85\) −23.8221 6.99479i −2.58387 0.758691i
\(86\) 4.85737 + 6.17665i 0.523784 + 0.666045i
\(87\) 5.44499 3.87736i 0.583765 0.415697i
\(88\) −0.0660673 + 0.0840115i −0.00704280 + 0.00895565i
\(89\) 0.122645 2.57464i 0.0130004 0.272912i −0.983003 0.183592i \(-0.941228\pi\)
0.996003 0.0893200i \(-0.0284694\pi\)
\(90\) 5.10495 + 5.89142i 0.538109 + 0.621011i
\(91\) −0.712472 + 0.577485i −0.0746873 + 0.0605369i
\(92\) 3.41950 + 8.55469i 0.356507 + 0.891888i
\(93\) −2.45831 4.25792i −0.254915 0.441526i
\(94\) −2.80941 14.5766i −0.289768 1.50346i
\(95\) −6.09107 + 3.14016i −0.624931 + 0.322174i
\(96\) 2.93920 + 7.34177i 0.299981 + 0.749316i
\(97\) −6.54959 + 14.3416i −0.665010 + 1.45617i 0.212768 + 0.977103i \(0.431752\pi\)
−0.877778 + 0.479067i \(0.840975\pi\)
\(98\) −6.12712 12.4333i −0.618932 1.25596i
\(99\) −0.192490 + 0.655561i −0.0193460 + 0.0658864i
\(100\) −17.9256 9.24128i −1.79256 0.924128i
\(101\) 1.06419 11.1447i 0.105891 1.10894i −0.773810 0.633418i \(-0.781652\pi\)
0.879701 0.475526i \(-0.157742\pi\)
\(102\) −12.1360 2.94415i −1.20164 0.291515i
\(103\) −4.09375 0.789005i −0.403369 0.0777430i −0.0164683 0.999864i \(-0.505242\pi\)
−0.386901 + 0.922121i \(0.626454\pi\)
\(104\) 0.0409797 + 0.0355091i 0.00401839 + 0.00348196i
\(105\) −5.91609 + 8.57257i −0.577351 + 0.836597i
\(106\) −0.147665 + 0.0674364i −0.0143425 + 0.00655000i
\(107\) 4.51533 8.75852i 0.436514 0.846718i −0.563277 0.826268i \(-0.690460\pi\)
0.999791 0.0204504i \(-0.00651002\pi\)
\(108\) 1.32564 + 1.39029i 0.127560 + 0.133781i
\(109\) 1.75536 4.38468i 0.168133 0.419976i −0.820241 0.572018i \(-0.806161\pi\)
0.988374 + 0.152042i \(0.0485849\pi\)
\(110\) −0.506283 5.30204i −0.0482722 0.505530i
\(111\) 1.55205 10.7948i 0.147314 1.02459i
\(112\) −8.85286 + 6.50279i −0.836517 + 0.614456i
\(113\) 2.23340 1.93525i 0.210101 0.182053i −0.543453 0.839440i \(-0.682883\pi\)
0.753554 + 0.657386i \(0.228338\pi\)
\(114\) −2.98509 + 1.72344i −0.279579 + 0.161415i
\(115\) 17.1699 + 7.85229i 1.60110 + 0.732230i
\(116\) −6.42042 + 11.1205i −0.596121 + 1.03251i
\(117\) 0.327573 + 0.113374i 0.0302842 + 0.0104814i
\(118\) 8.29344 12.9048i 0.763473 1.18799i
\(119\) −0.245856 16.6838i −0.0225376 1.52940i
\(120\) 0.560176 + 0.255824i 0.0511368 + 0.0233534i
\(121\) −8.27964 + 6.51118i −0.752695 + 0.591926i
\(122\) −10.5071 + 10.0185i −0.951266 + 0.907030i
\(123\) −0.524611 11.0129i −0.0473025 0.993003i
\(124\) 7.69355 + 5.47855i 0.690901 + 0.491988i
\(125\) −20.7694 + 6.09845i −1.85767 + 0.545462i
\(126\) −2.76716 + 4.44857i −0.246519 + 0.396311i
\(127\) −12.7772 + 14.7457i −1.13380 + 1.30847i −0.188569 + 0.982060i \(0.560385\pi\)
−0.945228 + 0.326411i \(0.894161\pi\)
\(128\) 0.904993 + 0.862909i 0.0799908 + 0.0762711i
\(129\) 3.95031 + 0.377209i 0.347806 + 0.0332114i
\(130\) −2.69915 + 0.128576i −0.236731 + 0.0112769i
\(131\) −16.9772 + 4.11863i −1.48331 + 0.359847i −0.894002 0.448063i \(-0.852114\pi\)
−0.589306 + 0.807910i \(0.700599\pi\)
\(132\) −0.186788 1.29914i −0.0162578 0.113076i
\(133\) −3.22693 3.28597i −0.279810 0.284930i
\(134\) 2.66416 + 0.383048i 0.230148 + 0.0330903i
\(135\) 3.93235 + 0.187321i 0.338442 + 0.0161220i
\(136\) −0.968699 + 0.186701i −0.0830652 + 0.0160095i
\(137\) −7.43006 4.28975i −0.634793 0.366498i 0.147813 0.989015i \(-0.452777\pi\)
−0.782606 + 0.622518i \(0.786110\pi\)
\(138\) 8.81434 + 3.53418i 0.750327 + 0.300849i
\(139\) 10.8970i 0.924271i −0.886809 0.462135i \(-0.847083\pi\)
0.886809 0.462135i \(-0.152917\pi\)
\(140\) 3.49678 19.7009i 0.295532 1.66503i
\(141\) −6.30673 4.05309i −0.531122 0.341332i
\(142\) −1.48816 + 0.595770i −0.124884 + 0.0499959i
\(143\) −0.137378 0.192921i −0.0114882 0.0161329i
\(144\) 3.85436 + 1.54305i 0.321196 + 0.128588i
\(145\) 6.20409 + 25.5736i 0.515221 + 2.12377i
\(146\) −2.37760 3.69962i −0.196772 0.306183i
\(147\) −6.67960 2.09356i −0.550924 0.172674i
\(148\) 5.90230 + 20.1014i 0.485166 + 1.65232i
\(149\) 2.04320 10.6011i 0.167385 0.868478i −0.797001 0.603978i \(-0.793581\pi\)
0.964386 0.264499i \(-0.0852066\pi\)
\(150\) −19.6451 + 6.79925i −1.60402 + 0.555156i
\(151\) −1.21104 + 4.99197i −0.0985530 + 0.406241i −0.999624 0.0274312i \(-0.991267\pi\)
0.901071 + 0.433672i \(0.142782\pi\)
\(152\) −0.157948 + 0.221807i −0.0128113 + 0.0179909i
\(153\) −5.30543 + 3.40959i −0.428919 + 0.275649i
\(154\) 3.30311 1.37918i 0.266172 0.111137i
\(155\) 19.1588 2.75462i 1.53887 0.221256i
\(156\) −0.662877 + 0.0632971i −0.0530726 + 0.00506782i
\(157\) 9.44552 + 7.42804i 0.753834 + 0.592822i 0.919376 0.393381i \(-0.128695\pi\)
−0.165541 + 0.986203i \(0.552937\pi\)
\(158\) 5.94889 + 11.5392i 0.473268 + 0.918012i
\(159\) −0.0268134 + 0.0774722i −0.00212644 + 0.00614394i
\(160\) −31.1332 −2.46130
\(161\) −1.62722 + 12.5838i −0.128243 + 0.991743i
\(162\) 1.98015 0.155575
\(163\) 2.04588 5.91118i 0.160246 0.462999i −0.836084 0.548602i \(-0.815160\pi\)
0.996329 + 0.0856026i \(0.0272816\pi\)
\(164\) 9.70517 + 18.8254i 0.757847 + 1.47002i
\(165\) −2.11430 1.66271i −0.164598 0.129442i
\(166\) −24.1536 + 2.30639i −1.87468 + 0.179010i
\(167\) 2.27287 0.326790i 0.175880 0.0252878i −0.0538119 0.998551i \(-0.517137\pi\)
0.229692 + 0.973263i \(0.426228\pi\)
\(168\) −0.0528573 + 0.410481i −0.00407803 + 0.0316693i
\(169\) 10.8352 6.96337i 0.833478 0.535644i
\(170\) 28.5172 40.0468i 2.18717 3.07145i
\(171\) −0.410390 + 1.69165i −0.0313833 + 0.129364i
\(172\) −7.20381 + 2.49326i −0.549286 + 0.190110i
\(173\) −2.13087 + 11.0560i −0.162007 + 0.840573i 0.806433 + 0.591326i \(0.201395\pi\)
−0.968440 + 0.249247i \(0.919817\pi\)
\(174\) 3.72908 + 12.7001i 0.282701 + 0.962790i
\(175\) −15.3596 23.1430i −1.16108 1.74945i
\(176\) −1.53360 2.38633i −0.115599 0.179876i
\(177\) −1.82640 7.52852i −0.137281 0.565878i
\(178\) 4.73836 + 1.89695i 0.355155 + 0.142183i
\(179\) −11.2525 15.8020i −0.841055 1.18110i −0.981586 0.191020i \(-0.938820\pi\)
0.140531 0.990076i \(-0.455119\pi\)
\(180\) −7.02088 + 2.81074i −0.523306 + 0.209500i
\(181\) 8.18964 + 5.26316i 0.608731 + 0.391208i 0.808381 0.588659i \(-0.200344\pi\)
−0.199650 + 0.979867i \(0.563980\pi\)
\(182\) −0.619189 1.70721i −0.0458973 0.126547i
\(183\) 7.33169i 0.541974i
\(184\) 0.749372 0.0352969i 0.0552445 0.00260212i
\(185\) 37.1819 + 21.4670i 2.73367 + 1.57828i
\(186\) 9.55973 1.84249i 0.700953 0.135098i
\(187\) 4.30401 + 0.205025i 0.314740 + 0.0149929i
\(188\) 14.2548 + 2.04953i 1.03964 + 0.149478i
\(189\) 0.661577 + 2.56170i 0.0481226 + 0.186336i
\(190\) −1.93117 13.4316i −0.140102 0.974430i
\(191\) −22.2566 + 5.39940i −1.61043 + 0.390687i −0.937213 0.348756i \(-0.886604\pi\)
−0.673219 + 0.739443i \(0.735089\pi\)
\(192\) −7.34770 + 0.350014i −0.530274 + 0.0252601i
\(193\) 9.25174 + 0.883435i 0.665955 + 0.0635910i 0.422558 0.906336i \(-0.361132\pi\)
0.243397 + 0.969927i \(0.421738\pi\)
\(194\) −22.5949 21.5442i −1.62222 1.54678i
\(195\) −0.893653 + 1.03133i −0.0639958 + 0.0738551i
\(196\) 13.3426 1.67210i 0.953046 0.119436i
\(197\) 18.9796 5.57291i 1.35224 0.397053i 0.476218 0.879327i \(-0.342007\pi\)
0.876021 + 0.482274i \(0.160189\pi\)
\(198\) −1.10205 0.784767i −0.0783194 0.0557710i
\(199\) −0.714604 15.0014i −0.0506569 1.06342i −0.870917 0.491429i \(-0.836475\pi\)
0.820261 0.571990i \(-0.193828\pi\)
\(200\) −1.18855 + 1.13328i −0.0840433 + 0.0801352i
\(201\) 1.06846 0.840244i 0.0753631 0.0592662i
\(202\) 20.1653 + 9.20920i 1.41883 + 0.647957i
\(203\) −15.1840 + 9.06741i −1.06571 + 0.636408i
\(204\) 6.54984 10.1917i 0.458580 0.713565i
\(205\) 41.0177 + 14.1964i 2.86480 + 0.991517i
\(206\) 4.12771 7.14941i 0.287591 0.498123i
\(207\) 4.36350 1.98994i 0.303284 0.138310i
\(208\) −1.24635 + 0.719578i −0.0864185 + 0.0498938i
\(209\) 0.898831 0.778841i 0.0621734 0.0538736i
\(210\) −12.2099 16.6224i −0.842560 1.14706i
\(211\) 0.448120 3.11675i 0.0308499 0.214566i −0.968565 0.248759i \(-0.919977\pi\)
0.999415 + 0.0341936i \(0.0108863\pi\)
\(212\) −0.0149700 0.156773i −0.00102814 0.0107672i
\(213\) −0.300871 + 0.751539i −0.0206153 + 0.0514946i
\(214\) 13.4650 + 14.1217i 0.920450 + 0.965340i
\(215\) −7.15857 + 13.8857i −0.488211 + 0.946997i
\(216\) 0.142292 0.0649826i 0.00968175 0.00442151i
\(217\) 5.57755 + 11.7517i 0.378629 + 0.797760i
\(218\) 7.06796 + 6.12442i 0.478703 + 0.414798i
\(219\) −2.18078 0.420311i −0.147363 0.0284020i
\(220\) 5.02141 + 1.21818i 0.338543 + 0.0821297i
\(221\) 0.207802 2.17620i 0.0139783 0.146387i
\(222\) 19.1945 + 9.89545i 1.28825 + 0.664139i
\(223\) −1.19969 + 4.08576i −0.0803370 + 0.273603i −0.989859 0.142053i \(-0.954630\pi\)
0.909522 + 0.415656i \(0.136448\pi\)
\(224\) −6.18993 19.9867i −0.413582 1.33542i
\(225\) −4.36120 + 9.54971i −0.290747 + 0.636647i
\(226\) 2.17488 + 5.43260i 0.144671 + 0.361371i
\(227\) 13.2908 6.85190i 0.882144 0.454777i 0.0432453 0.999064i \(-0.486230\pi\)
0.838899 + 0.544288i \(0.183200\pi\)
\(228\) −0.632842 3.28349i −0.0419110 0.217455i
\(229\) 5.05876 + 8.76203i 0.334292 + 0.579011i 0.983349 0.181729i \(-0.0581694\pi\)
−0.649056 + 0.760740i \(0.724836\pi\)
\(230\) −25.8135 + 27.0436i −1.70209 + 1.78320i
\(231\) 0.647045 1.68791i 0.0425724 0.111056i
\(232\) 0.684746 + 0.790240i 0.0449558 + 0.0518818i
\(233\) 0.400392 8.40527i 0.0262306 0.550648i −0.947058 0.321063i \(-0.895960\pi\)
0.973289 0.229585i \(-0.0737369\pi\)
\(234\) −0.424302 + 0.539544i −0.0277375 + 0.0352711i
\(235\) 24.0410 17.1195i 1.56826 1.11675i
\(236\) 9.19931 + 11.6979i 0.598824 + 0.761467i
\(237\) 6.29070 + 1.84711i 0.408625 + 0.119983i
\(238\) 31.3788 + 10.3451i 2.03398 + 0.670575i
\(239\) 12.7567 + 27.9332i 0.825160 + 1.80685i 0.518672 + 0.854973i \(0.326427\pi\)
0.306488 + 0.951875i \(0.400846\pi\)
\(240\) −11.2791 + 11.8292i −0.728063 + 0.763570i
\(241\) −0.966841 2.79350i −0.0622797 0.179945i 0.909568 0.415555i \(-0.136413\pi\)
−0.971848 + 0.235609i \(0.924291\pi\)
\(242\) −6.82176 19.7102i −0.438519 1.26702i
\(243\) 0.690079 0.723734i 0.0442686 0.0464276i
\(244\) −5.85078 12.8114i −0.374558 0.820168i
\(245\) 17.4249 21.3494i 1.11324 1.36396i
\(246\) 20.9477 + 6.15079i 1.33557 + 0.392160i
\(247\) −0.372997 0.474304i −0.0237332 0.0301792i
\(248\) 0.626489 0.446121i 0.0397821 0.0283287i
\(249\) −7.57450 + 9.63176i −0.480014 + 0.610388i
\(250\) 2.03950 42.8143i 0.128989 2.70781i
\(251\) −1.16615 1.34580i −0.0736065 0.0849464i 0.717752 0.696299i \(-0.245171\pi\)
−0.791358 + 0.611353i \(0.790626\pi\)
\(252\) −3.20031 3.94838i −0.201601 0.248725i
\(253\) −3.21715 0.621832i −0.202260 0.0390942i
\(254\) −19.3178 33.4593i −1.21210 2.09943i
\(255\) −4.69869 24.3791i −0.294243 1.52668i
\(256\) −15.2774 + 7.87606i −0.954839 + 0.492254i
\(257\) 2.65654 + 6.63571i 0.165710 + 0.413924i 0.987860 0.155347i \(-0.0496496\pi\)
−0.822150 + 0.569271i \(0.807225\pi\)
\(258\) −3.26425 + 7.14771i −0.203223 + 0.444997i
\(259\) −6.38868 + 28.1378i −0.396973 + 1.74840i
\(260\) 0.738558 2.51530i 0.0458035 0.155992i
\(261\) 5.94138 + 3.06299i 0.367762 + 0.189595i
\(262\) 3.28824 34.4360i 0.203148 2.12746i
\(263\) 6.47774 + 1.57148i 0.399435 + 0.0969018i 0.430444 0.902617i \(-0.358357\pi\)
−0.0310092 + 0.999519i \(0.509872\pi\)
\(264\) −0.104946 0.0202267i −0.00645899 0.00124487i
\(265\) −0.243913 0.211352i −0.0149835 0.0129832i
\(266\) 8.23876 3.91024i 0.505151 0.239752i
\(267\) 2.34463 1.07076i 0.143489 0.0655293i
\(268\) −1.19650 + 2.32089i −0.0730879 + 0.141771i
\(269\) −10.0200 10.5087i −0.610933 0.640728i 0.343500 0.939153i \(-0.388387\pi\)
−0.954433 + 0.298425i \(0.903539\pi\)
\(270\) −2.89728 + 7.23706i −0.176323 + 0.440434i
\(271\) −1.08935 11.4082i −0.0661733 0.692999i −0.966308 0.257387i \(-0.917138\pi\)
0.900135 0.435611i \(-0.143468\pi\)
\(272\) 3.72628 25.9169i 0.225939 1.57144i
\(273\) −0.839763 0.368651i −0.0508248 0.0223118i
\(274\) 12.8392 11.1252i 0.775644 0.672100i
\(275\) 6.21193 3.58646i 0.374593 0.216272i
\(276\) −6.03681 + 6.95936i −0.363373 + 0.418904i
\(277\) −15.3389 + 26.5678i −0.921627 + 1.59630i −0.124728 + 0.992191i \(0.539806\pi\)
−0.796899 + 0.604113i \(0.793528\pi\)
\(278\) 20.3909 + 7.05737i 1.22297 + 0.423273i
\(279\) 2.65813 4.13613i 0.159138 0.247624i
\(280\) −1.42289 0.793783i −0.0850338 0.0474376i
\(281\) −23.5563 10.7578i −1.40525 0.641755i −0.438793 0.898588i \(-0.644594\pi\)
−0.966456 + 0.256833i \(0.917321\pi\)
\(282\) 11.6688 9.17648i 0.694869 0.546451i
\(283\) 4.16423 3.97059i 0.247538 0.236027i −0.556144 0.831086i \(-0.687720\pi\)
0.803682 + 0.595059i \(0.202871\pi\)
\(284\) −0.0739948 1.55334i −0.00439078 0.0921738i
\(285\) −5.58218 3.97505i −0.330660 0.235462i
\(286\) 0.449975 0.132125i 0.0266076 0.00781269i
\(287\) −0.958509 + 29.1548i −0.0565790 + 1.72095i
\(288\) −5.17880 + 5.97666i −0.305164 + 0.352178i
\(289\) 16.4815 + 15.7151i 0.969503 + 0.924419i
\(290\) −51.8725 4.95322i −3.04606 0.290863i
\(291\) −15.7485 + 0.750195i −0.923195 + 0.0439772i
\(292\) 4.14612 1.00584i 0.242633 0.0588622i
\(293\) 4.00329 + 27.8435i 0.233875 + 1.62663i 0.681085 + 0.732205i \(0.261508\pi\)
−0.447210 + 0.894429i \(0.647582\pi\)
\(294\) 8.24357 11.1433i 0.480775 0.649889i
\(295\) 30.1876 + 4.34032i 1.75759 + 0.252703i
\(296\) 1.70404 + 0.0811734i 0.0990453 + 0.00471811i
\(297\) −0.670890 + 0.129304i −0.0389290 + 0.00750295i
\(298\) 18.5140 + 10.6891i 1.07249 + 0.619202i
\(299\) −0.392791 + 1.61535i −0.0227157 + 0.0934180i
\(300\) 20.1675i 1.16437i
\(301\) −10.3375 1.83485i −0.595844 0.105759i
\(302\) −8.55688 5.49918i −0.492393 0.316442i
\(303\) 10.3935 4.16093i 0.597090 0.239039i
\(304\) −4.19209 5.88697i −0.240433 0.337641i
\(305\) −26.7959 10.7275i −1.53433 0.614252i
\(306\) −2.94415 12.1360i −0.168306 0.693767i
\(307\) −14.8331 23.0807i −0.846569 1.31729i −0.946635 0.322307i \(-0.895542\pi\)
0.100066 0.994981i \(-0.468095\pi\)
\(308\) 0.216321 + 3.46580i 0.0123261 + 0.197483i
\(309\) −1.17457 4.00021i −0.0668188 0.227564i
\(310\) −7.25351 + 37.6348i −0.411972 + 2.13751i
\(311\) −30.7333 + 10.6369i −1.74273 + 0.603163i −0.997941 0.0641410i \(-0.979569\pi\)
−0.744785 + 0.667304i \(0.767448\pi\)
\(312\) −0.0127838 + 0.0526955i −0.000723739 + 0.00298329i
\(313\) 2.37115 3.32981i 0.134025 0.188212i −0.742109 0.670279i \(-0.766174\pi\)
0.876134 + 0.482067i \(0.160114\pi\)
\(314\) −20.0170 + 12.8642i −1.12963 + 0.725966i
\(315\) −10.3305 1.33025i −0.582058 0.0749512i
\(316\) −12.4664 + 1.79240i −0.701291 + 0.100830i
\(317\) 5.89091 0.562514i 0.330867 0.0315939i 0.0716990 0.997426i \(-0.477158\pi\)
0.259167 + 0.965832i \(0.416552\pi\)
\(318\) −0.127604 0.100349i −0.00715567 0.00562728i
\(319\) −2.09275 4.05937i −0.117172 0.227281i
\(320\) 9.47164 27.3665i 0.529481 1.52983i
\(321\) 9.85393 0.549993
\(322\) −22.4935 11.1948i −1.25352 0.623860i
\(323\) 10.9780 0.610831
\(324\) −0.628298 + 1.81535i −0.0349055 + 0.100853i
\(325\) −1.66756 3.23461i −0.0924994 0.179424i
\(326\) 9.73626 + 7.65668i 0.539242 + 0.424064i
\(327\) 4.70161 0.448949i 0.260000 0.0248270i
\(328\) 1.70713 0.245448i 0.0942606 0.0135526i
\(329\) 15.7701 + 12.0300i 0.869435 + 0.663233i
\(330\) 4.48065 2.87954i 0.246652 0.158513i
\(331\) −10.5380 + 14.7985i −0.579219 + 0.813399i −0.995392 0.0958863i \(-0.969431\pi\)
0.416174 + 0.909285i \(0.363371\pi\)
\(332\) 5.54945 22.8751i 0.304565 1.25544i
\(333\) 10.3060 3.56693i 0.564764 0.195467i
\(334\) −0.860510 + 4.46475i −0.0470850 + 0.244300i
\(335\) 1.50760 + 5.13441i 0.0823689 + 0.280523i
\(336\) −9.83653 4.88899i −0.536627 0.266716i
\(337\) 2.33495 + 3.63325i 0.127193 + 0.197916i 0.899009 0.437930i \(-0.144288\pi\)
−0.771817 + 0.635845i \(0.780652\pi\)
\(338\) 6.01281 + 24.7851i 0.327054 + 1.34813i
\(339\) 2.74352 + 1.09834i 0.149008 + 0.0596537i
\(340\) 27.6653 + 38.8505i 1.50036 + 2.10697i
\(341\) −3.11859 + 1.24850i −0.168881 + 0.0676099i
\(342\) −2.89971 1.86353i −0.156798 0.100768i
\(343\) 17.1702 + 6.94161i 0.927101 + 0.374812i
\(344\) 0.620751i 0.0334687i
\(345\) 0.888311 + 18.8593i 0.0478250 + 1.01535i
\(346\) −19.3085 11.1478i −1.03803 0.599307i
\(347\) 8.69828 1.67646i 0.466948 0.0899969i 0.0496503 0.998767i \(-0.484189\pi\)
0.417298 + 0.908770i \(0.362977\pi\)
\(348\) −12.8263 0.610992i −0.687562 0.0327526i
\(349\) 17.7108 + 2.54643i 0.948038 + 0.136307i 0.598953 0.800784i \(-0.295583\pi\)
0.349085 + 0.937091i \(0.386493\pi\)
\(350\) 53.2539 13.7532i 2.84654 0.735138i
\(351\) 0.0493317 + 0.343110i 0.00263313 + 0.0183138i
\(352\) 5.25090 1.27386i 0.279874 0.0678967i
\(353\) −19.1518 + 0.912313i −1.01935 + 0.0485575i −0.550596 0.834772i \(-0.685599\pi\)
−0.468752 + 0.883330i \(0.655296\pi\)
\(354\) 15.2706 + 1.45816i 0.811621 + 0.0775004i
\(355\) −2.30650 2.19925i −0.122416 0.116724i
\(356\) −3.24255 + 3.74210i −0.171855 + 0.198331i
\(357\) 14.7165 7.86350i 0.778881 0.416180i
\(358\) 36.8570 10.8222i 1.94796 0.571971i
\(359\) −2.80852 1.99994i −0.148228 0.105553i 0.503537 0.863974i \(-0.332032\pi\)
−0.651765 + 0.758421i \(0.725971\pi\)
\(360\) 0.0293022 + 0.615130i 0.00154436 + 0.0324202i
\(361\) −11.5580 + 11.0205i −0.608314 + 0.580026i
\(362\) −15.1526 + 11.9162i −0.796405 + 0.626300i
\(363\) −9.58132 4.37564i −0.502889 0.229662i
\(364\) 1.76159 0.0259592i 0.0923326 0.00136063i
\(365\) 4.72699 7.35534i 0.247422 0.384996i
\(366\) −13.7194 4.74833i −0.717124 0.248199i
\(367\) 1.96355 3.40097i 0.102496 0.177529i −0.810216 0.586131i \(-0.800650\pi\)
0.912713 + 0.408602i \(0.133984\pi\)
\(368\) −5.61979 + 19.1016i −0.292952 + 0.995739i
\(369\) 9.54829 5.51271i 0.497064 0.286980i
\(370\) −64.2506 + 55.6734i −3.34023 + 2.89432i
\(371\) 0.0871872 0.198607i 0.00452653 0.0103112i
\(372\) −1.34414 + 9.34871i −0.0696905 + 0.484708i
\(373\) 0.0981561 + 1.02794i 0.00508233 + 0.0532246i 0.997657 0.0684098i \(-0.0217925\pi\)
−0.992575 + 0.121634i \(0.961186\pi\)
\(374\) −3.17112 + 7.92107i −0.163975 + 0.409589i
\(375\) −14.9376 15.6661i −0.771375 0.808995i
\(376\) 0.537369 1.04235i 0.0277127 0.0537551i
\(377\) −2.10770 + 0.962552i −0.108552 + 0.0495740i
\(378\) −5.22204 0.421099i −0.268593 0.0216590i
\(379\) −17.1517 14.8621i −0.881026 0.763413i 0.0915986 0.995796i \(-0.470802\pi\)
−0.972624 + 0.232383i \(0.925348\pi\)
\(380\) 12.9265 + 2.49137i 0.663114 + 0.127805i
\(381\) −18.9614 4.59998i −0.971422 0.235664i
\(382\) 4.31078 45.1445i 0.220558 2.30979i
\(383\) −32.1828 16.5914i −1.64447 0.847781i −0.996269 0.0863077i \(-0.972493\pi\)
−0.648197 0.761473i \(-0.724477\pi\)
\(384\) −0.352292 + 1.19980i −0.0179778 + 0.0612269i
\(385\) 5.22223 + 4.83450i 0.266150 + 0.246389i
\(386\) −7.64496 + 16.7401i −0.389118 + 0.852050i
\(387\) 1.47486 + 3.68403i 0.0749714 + 0.187270i
\(388\) 26.9204 13.8784i 1.36668 0.704570i
\(389\) −2.45025 12.7131i −0.124233 0.644580i −0.989647 0.143523i \(-0.954157\pi\)
0.865414 0.501057i \(-0.167055\pi\)
\(390\) −1.35110 2.34018i −0.0684158 0.118500i
\(391\) −18.6837 23.7844i −0.944877 1.20283i
\(392\) 0.226688 1.07128i 0.0114495 0.0541076i
\(393\) −11.4402 13.2027i −0.577082 0.665988i
\(394\) −1.86374 + 39.1247i −0.0938938 + 1.97107i
\(395\) −15.9551 + 20.2886i −0.802791 + 1.02083i
\(396\) 1.06913 0.761325i 0.0537259 0.0382580i
\(397\) 8.99229 + 11.4346i 0.451310 + 0.573888i 0.957463 0.288556i \(-0.0931752\pi\)
−0.506153 + 0.862444i \(0.668933\pi\)
\(398\) 28.5341 + 8.37836i 1.43028 + 0.419969i
\(399\) 1.44202 4.37393i 0.0721914 0.218970i
\(400\) −18.1067 39.6480i −0.905333 1.98240i
\(401\) 5.56411 5.83547i 0.277858 0.291409i −0.569986 0.821654i \(-0.693052\pi\)
0.847845 + 0.530245i \(0.177900\pi\)
\(402\) 0.880322 + 2.54352i 0.0439065 + 0.126859i
\(403\) 0.557419 + 1.61056i 0.0277670 + 0.0802275i
\(404\) −14.8412 + 15.5650i −0.738375 + 0.774386i
\(405\) 1.63541 + 3.58104i 0.0812641 + 0.177943i
\(406\) −7.13349 34.2855i −0.354029 1.70156i
\(407\) −7.14941 2.09926i −0.354383 0.104056i
\(408\) −0.609830 0.775462i −0.0301911 0.0383911i
\(409\) 7.01773 4.99730i 0.347004 0.247101i −0.393244 0.919434i \(-0.628647\pi\)
0.740248 + 0.672333i \(0.234708\pi\)
\(410\) −53.1297 + 67.5600i −2.62389 + 3.33655i
\(411\) 0.408229 8.56977i 0.0201364 0.422716i
\(412\) 5.24467 + 6.05267i 0.258386 + 0.298194i
\(413\) 3.21555 + 20.2425i 0.158227 + 0.996070i
\(414\) 0.897661 + 9.45395i 0.0441176 + 0.464636i
\(415\) −24.1195 41.7761i −1.18398 2.05071i
\(416\) −0.518795 2.69176i −0.0254360 0.131974i
\(417\) 9.68563 4.99329i 0.474307 0.244522i
\(418\) 0.875280 + 2.18634i 0.0428114 + 0.106938i
\(419\) 11.7356 25.6973i 0.573321 1.25540i −0.371689 0.928357i \(-0.621221\pi\)
0.945010 0.327041i \(-0.106051\pi\)
\(420\) 19.1131 5.91939i 0.932626 0.288837i
\(421\) −2.53574 + 8.63593i −0.123584 + 0.420889i −0.997922 0.0644279i \(-0.979478\pi\)
0.874338 + 0.485317i \(0.161296\pi\)
\(422\) 5.54197 + 2.85709i 0.269779 + 0.139081i
\(423\) 0.712618 7.46288i 0.0346487 0.362858i
\(424\) −0.0124627 0.00302341i −0.000605240 0.000146830i
\(425\) 65.0127 + 12.5302i 3.15358 + 0.607802i
\(426\) −1.21146 1.04973i −0.0586952 0.0508597i
\(427\) 1.55916 19.3351i 0.0754528 0.935690i
\(428\) −17.2188 + 7.86357i −0.832302 + 0.380100i
\(429\) 0.108525 0.210508i 0.00523962 0.0101634i
\(430\) −21.3473 22.3884i −1.02946 1.07967i
\(431\) 4.23796 10.5859i 0.204135 0.509905i −0.790606 0.612325i \(-0.790234\pi\)
0.994741 + 0.102420i \(0.0326586\pi\)
\(432\) 0.394649 + 4.13296i 0.0189876 + 0.198847i
\(433\) −0.527864 + 3.67137i −0.0253675 + 0.176435i −0.998566 0.0535311i \(-0.982952\pi\)
0.973199 + 0.229966i \(0.0738615\pi\)
\(434\) −25.6027 + 2.82602i −1.22897 + 0.135653i
\(435\) −19.8878 + 17.2329i −0.953549 + 0.826255i
\(436\) −7.85735 + 4.53644i −0.376299 + 0.217256i
\(437\) −8.26258 1.19247i −0.395253 0.0570438i
\(438\) 2.19888 3.80856i 0.105066 0.181980i
\(439\) −24.7214 8.55616i −1.17989 0.408363i −0.334438 0.942418i \(-0.608547\pi\)
−0.845450 + 0.534054i \(0.820668\pi\)
\(440\) 0.227478 0.353963i 0.0108446 0.0168745i
\(441\) −1.19993 6.89639i −0.0571397 0.328399i
\(442\) 3.93762 + 1.79825i 0.187294 + 0.0855342i
\(443\) 21.4767 16.8895i 1.02039 0.802444i 0.0399385 0.999202i \(-0.487284\pi\)
0.980452 + 0.196758i \(0.0630414\pi\)
\(444\) −15.1622 + 14.4572i −0.719568 + 0.686107i
\(445\) 0.482831 + 10.1359i 0.0228884 + 0.480486i
\(446\) −6.86849 4.89103i −0.325232 0.231597i
\(447\) 10.3589 3.04165i 0.489959 0.143865i
\(448\) 19.4517 + 0.639506i 0.919007 + 0.0302138i
\(449\) 10.5763 12.2058i 0.499129 0.576025i −0.449153 0.893455i \(-0.648274\pi\)
0.948282 + 0.317430i \(0.102820\pi\)
\(450\) −15.0453 14.3457i −0.709244 0.676263i
\(451\) −7.49887 0.716055i −0.353108 0.0337177i
\(452\) −5.67054 + 0.270121i −0.266720 + 0.0127054i
\(453\) −4.99197 + 1.21104i −0.234543 + 0.0568996i
\(454\) 4.21386 + 29.3080i 0.197766 + 1.37549i
\(455\) 2.57606 2.52977i 0.120767 0.118598i
\(456\) −0.269526 0.0387520i −0.0126217 0.00181473i
\(457\) −21.2351 1.01155i −0.993338 0.0473185i −0.455386 0.890294i \(-0.650499\pi\)
−0.537952 + 0.842976i \(0.680802\pi\)
\(458\) −19.6722 + 3.79150i −0.919221 + 0.177165i
\(459\) −5.46166 3.15329i −0.254928 0.147183i
\(460\) −16.6022 32.2460i −0.774083 1.50348i
\(461\) 21.7102i 1.01114i −0.862785 0.505572i \(-0.831282\pi\)
0.862785 0.505572i \(-0.168718\pi\)
\(462\) 2.73943 + 2.30394i 0.127450 + 0.107189i
\(463\) 34.9354 + 22.4516i 1.62358 + 1.04341i 0.953617 + 0.301023i \(0.0973281\pi\)
0.669967 + 0.742391i \(0.266308\pi\)
\(464\) −25.7643 + 10.3145i −1.19608 + 0.478837i
\(465\) 11.2275 + 15.7668i 0.520661 + 0.731166i
\(466\) 15.4690 + 6.19286i 0.716588 + 0.286879i
\(467\) 6.62086 + 27.2916i 0.306377 + 1.26290i 0.891894 + 0.452244i \(0.149376\pi\)
−0.585517 + 0.810660i \(0.699109\pi\)
\(468\) −0.360009 0.560184i −0.0166414 0.0258945i
\(469\) −2.99641 + 1.98866i −0.138361 + 0.0918280i
\(470\) 16.4648 + 56.0740i 0.759465 + 2.58650i
\(471\) −2.27412 + 11.7992i −0.104786 + 0.543680i
\(472\) 1.14518 0.396351i 0.0527113 0.0182436i
\(473\) 0.639208 2.63485i 0.0293908 0.121151i
\(474\) −7.53054 + 10.5752i −0.345889 + 0.485733i
\(475\) 15.3737 9.88010i 0.705396 0.453330i
\(476\) −19.4405 + 25.4847i −0.891056 + 1.16809i
\(477\) −0.0811466 + 0.0116671i −0.00371545 + 0.000534201i
\(478\) −60.5316 + 5.78007i −2.76865 + 0.264374i
\(479\) 5.00769 + 3.93809i 0.228807 + 0.179936i 0.725980 0.687715i \(-0.241386\pi\)
−0.497173 + 0.867651i \(0.665629\pi\)
\(480\) −14.2661 27.6723i −0.651154 1.26306i
\(481\) −1.23643 + 3.57244i −0.0563765 + 0.162889i
\(482\) 5.85350 0.266620
\(483\) −11.9306 + 4.31990i −0.542860 + 0.196562i
\(484\) 20.2343 0.919740
\(485\) 20.3008 58.6554i 0.921813 2.66340i
\(486\) 0.907358 + 1.76003i 0.0411586 + 0.0798365i
\(487\) −10.8320 8.51840i −0.490846 0.386005i 0.341834 0.939760i \(-0.388952\pi\)
−0.832680 + 0.553755i \(0.813194\pi\)
\(488\) −1.14169 + 0.109018i −0.0516819 + 0.00493502i
\(489\) 6.19154 0.890209i 0.279991 0.0402566i
\(490\) 28.6648 + 46.4331i 1.29494 + 2.09763i
\(491\) −0.716179 + 0.460260i −0.0323207 + 0.0207712i −0.556701 0.830713i \(-0.687933\pi\)
0.524381 + 0.851484i \(0.324297\pi\)
\(492\) −12.2855 + 17.2526i −0.553874 + 0.777807i
\(493\) 9.93866 40.9677i 0.447615 1.84509i
\(494\) 1.12911 0.390788i 0.0508010 0.0175824i
\(495\) 0.509043 2.64116i 0.0228798 0.118711i
\(496\) 5.75090 + 19.5858i 0.258223 + 0.879427i
\(497\) 0.953276 1.91797i 0.0427603 0.0860326i
\(498\) −13.1178 20.4117i −0.587823 0.914670i
\(499\) −2.10247 8.66649i −0.0941194 0.387965i 0.905195 0.424997i \(-0.139725\pi\)
−0.999314 + 0.0370317i \(0.988210\pi\)
\(500\) 38.6038 + 15.4546i 1.72642 + 0.691152i
\(501\) 1.33195 + 1.87047i 0.0595073 + 0.0835663i
\(502\) 3.27358 1.31054i 0.146107 0.0584924i
\(503\) 7.77122 + 4.99426i 0.346501 + 0.222683i 0.702302 0.711879i \(-0.252156\pi\)
−0.355801 + 0.934562i \(0.615792\pi\)
\(504\) −0.389071 + 0.141112i −0.0173306 + 0.00628562i
\(505\) 44.0743i 1.96128i
\(506\) 3.24717 5.61734i 0.144354 0.249721i
\(507\) 11.1543 + 6.43992i 0.495379 + 0.286007i
\(508\) 36.8041 7.09340i 1.63292 0.314719i
\(509\) 20.8551 + 0.993449i 0.924384 + 0.0440338i 0.504374 0.863485i \(-0.331723\pi\)
0.420010 + 0.907519i \(0.362026\pi\)
\(510\) 48.6623 + 6.99659i 2.15480 + 0.309814i
\(511\) 5.66175 + 1.57220i 0.250461 + 0.0695502i
\(512\) −4.48779 31.2132i −0.198334 1.37944i
\(513\) −1.69165 + 0.410390i −0.0746882 + 0.0181192i
\(514\) −14.1375 + 0.673453i −0.623580 + 0.0297048i
\(515\) 16.3386 + 1.56014i 0.719963 + 0.0687481i
\(516\) −5.51708 5.26053i −0.242876 0.231582i
\(517\) −3.35427 + 3.87103i −0.147521 + 0.170248i
\(518\) −48.5152 30.1781i −2.13163 1.32595i
\(519\) −10.8034 + 3.17216i −0.474217 + 0.139243i
\(520\) −0.173887 0.123824i −0.00762544 0.00543005i
\(521\) 1.51337 + 31.7696i 0.0663020 + 1.39185i 0.749687 + 0.661792i \(0.230204\pi\)
−0.683385 + 0.730058i \(0.739493\pi\)
\(522\) −9.57951 + 9.13405i −0.419284 + 0.399786i
\(523\) 6.04343 4.75261i 0.264261 0.207817i −0.477233 0.878777i \(-0.658360\pi\)
0.741494 + 0.670960i \(0.234118\pi\)
\(524\) 30.5266 + 13.9410i 1.33356 + 0.609017i
\(525\) 13.5322 24.2569i 0.590592 1.05866i
\(526\) −7.13591 + 11.1037i −0.311140 + 0.484144i
\(527\) −29.3017 10.1414i −1.27640 0.441767i
\(528\) 1.41832 2.45660i 0.0617243 0.106910i
\(529\) 11.4788 + 19.9308i 0.499077 + 0.866558i
\(530\) 0.553460 0.319540i 0.0240408 0.0138800i
\(531\) 5.85471 5.07313i 0.254073 0.220155i
\(532\) 0.970657 + 8.79378i 0.0420833 + 0.381259i
\(533\) −0.543903 + 3.78293i −0.0235591 + 0.163857i
\(534\) 0.485163 + 5.08086i 0.0209950 + 0.219870i
\(535\) −14.4179 + 36.0142i −0.623340 + 1.55703i
\(536\) 0.146730 + 0.153886i 0.00633777 + 0.00664686i
\(537\) 8.88915 17.2426i 0.383595 0.744071i
\(538\) 26.1538 11.9440i 1.12757 0.514944i
\(539\) −2.06533 + 4.31373i −0.0889601 + 0.185805i
\(540\) −5.71544 4.95246i −0.245953 0.213120i
\(541\) −5.11159 0.985179i −0.219765 0.0423562i 0.0781802 0.996939i \(-0.475089\pi\)
−0.297945 + 0.954583i \(0.596301\pi\)
\(542\) 22.0530 + 5.35001i 0.947259 + 0.229803i
\(543\) −0.925375 + 9.69097i −0.0397116 + 0.415879i
\(544\) 44.3298 + 22.8536i 1.90062 + 0.979840i
\(545\) −5.23840 + 17.8403i −0.224388 + 0.764196i
\(546\) 1.23370 1.33265i 0.0527977 0.0570321i
\(547\) −4.04007 + 8.84652i −0.172741 + 0.378250i −0.976124 0.217212i \(-0.930304\pi\)
0.803384 + 0.595462i \(0.203031\pi\)
\(548\) 6.12545 + 15.3006i 0.261666 + 0.653611i
\(549\) −6.51667 + 3.35958i −0.278125 + 0.143383i
\(550\) 2.68802 + 13.9468i 0.114618 + 0.594693i
\(551\) −5.81787 10.0769i −0.247850 0.429288i
\(552\) 0.374755 + 0.649895i 0.0159506 + 0.0276614i
\(553\) −16.1970 6.20897i −0.688765 0.264032i
\(554\) −39.7807 45.9094i −1.69012 1.95050i
\(555\) −2.04288 + 42.8853i −0.0867153 + 1.82038i
\(556\) −12.9400 + 16.4546i −0.548779 + 0.697829i
\(557\) −18.7269 + 13.3354i −0.793485 + 0.565038i −0.903348 0.428908i \(-0.858898\pi\)
0.109863 + 0.993947i \(0.464959\pi\)
\(558\) 6.01819 + 7.65275i 0.254770 + 0.323967i
\(559\) −1.31984 0.387539i −0.0558232 0.0163912i
\(560\) 32.2607 28.7972i 1.36326 1.21690i
\(561\) 1.78998 + 3.91950i 0.0755729 + 0.165482i
\(562\) 35.3865 37.1123i 1.49269 1.56549i
\(563\) −10.7315 31.0067i −0.452280 1.30678i −0.908862 0.417097i \(-0.863048\pi\)
0.456582 0.889681i \(-0.349074\pi\)
\(564\) 4.71024 + 13.6093i 0.198337 + 0.573057i
\(565\) −8.02844 + 8.41999i −0.337759 + 0.354232i
\(566\) 4.73300 + 10.3638i 0.198943 + 0.435624i
\(567\) −1.97378 + 1.76187i −0.0828909 + 0.0739917i
\(568\) −0.121503 0.0356766i −0.00509817 0.00149696i
\(569\) 22.4597 + 28.5599i 0.941560 + 1.19729i 0.980194 + 0.198038i \(0.0634569\pi\)
−0.0386340 + 0.999253i \(0.512301\pi\)
\(570\) 11.0536 7.87121i 0.462983 0.329689i
\(571\) 3.99753 5.08327i 0.167291 0.212728i −0.695178 0.718838i \(-0.744674\pi\)
0.862469 + 0.506110i \(0.168917\pi\)
\(572\) −0.0216480 + 0.454447i −0.000905148 + 0.0190014i
\(573\) −14.9977 17.3083i −0.626540 0.723066i
\(574\) −53.9350 20.6755i −2.25120 0.862980i
\(575\) −47.5708 16.4928i −1.98384 0.687797i
\(576\) −3.67801 6.37051i −0.153251 0.265438i
\(577\) 5.18104 + 26.8818i 0.215690 + 1.11910i 0.914744 + 0.404035i \(0.132393\pi\)
−0.699054 + 0.715069i \(0.746395\pi\)
\(578\) −40.0810 + 20.6632i −1.66715 + 0.859476i
\(579\) 3.45417 + 8.62809i 0.143550 + 0.358571i
\(580\) 21.0000 45.9836i 0.871978 1.90937i
\(581\) 22.0237 23.7900i 0.913696 0.986975i
\(582\) 8.79564 29.9552i 0.364591 1.24168i
\(583\) 0.0497859 + 0.0256664i 0.00206192 + 0.00106299i
\(584\) 0.0330238 0.345841i 0.00136653 0.0143110i
\(585\) −1.32618 0.321728i −0.0548307 0.0133018i
\(586\) −54.6947 10.5415i −2.25942 0.435467i
\(587\) −16.0523 13.9094i −0.662549 0.574102i 0.257320 0.966326i \(-0.417160\pi\)
−0.919870 + 0.392224i \(0.871706\pi\)
\(588\) 7.60018 + 11.0932i 0.313426 + 0.457477i
\(589\) −7.78505 + 3.55531i −0.320777 + 0.146494i
\(590\) −27.6726 + 53.6773i −1.13926 + 2.20986i
\(591\) 13.6503 + 14.3161i 0.561500 + 0.588884i
\(592\) −16.8282 + 42.0348i −0.691634 + 1.72762i
\(593\) 1.72869 + 18.1037i 0.0709887 + 0.743428i 0.958962 + 0.283533i \(0.0915067\pi\)
−0.887974 + 0.459894i \(0.847887\pi\)
\(594\) 0.192540 1.33914i 0.00790000 0.0549457i
\(595\) 7.20688 + 65.2915i 0.295453 + 2.67669i
\(596\) −15.6739 + 13.5815i −0.642029 + 0.556321i
\(597\) 13.0063 7.50919i 0.532313 0.307331i
\(598\) −2.76832 1.78118i −0.113205 0.0728378i
\(599\) 8.58738 14.8738i 0.350871 0.607726i −0.635532 0.772075i \(-0.719219\pi\)
0.986402 + 0.164349i \(0.0525523\pi\)
\(600\) −1.55193 0.537127i −0.0633572 0.0219281i
\(601\) −1.54443 + 2.40318i −0.0629986 + 0.0980278i −0.871324 0.490709i \(-0.836738\pi\)
0.808325 + 0.588736i \(0.200374\pi\)
\(602\) 10.1285 18.1557i 0.412806 0.739971i
\(603\) 1.23643 + 0.564660i 0.0503515 + 0.0229947i
\(604\) 7.75657 6.09984i 0.315611 0.248199i
\(605\) 30.0111 28.6156i 1.22013 1.16339i
\(606\) 1.05483 + 22.1436i 0.0428495 + 0.899521i
\(607\) 11.4523 + 8.15518i 0.464836 + 0.331008i 0.788363 0.615211i \(-0.210929\pi\)
−0.323526 + 0.946219i \(0.604868\pi\)
\(608\) 13.2084 3.87834i 0.535672 0.157287i
\(609\) −15.0172 9.34119i −0.608527 0.378524i
\(610\) 37.4279 43.1941i 1.51541 1.74888i
\(611\) 1.88076 + 1.79330i 0.0760873 + 0.0725491i
\(612\) 12.0601 + 1.15160i 0.487500 + 0.0465506i
\(613\) −7.19873 + 0.342918i −0.290754 + 0.0138503i −0.192452 0.981306i \(-0.561644\pi\)
−0.0983016 + 0.995157i \(0.531341\pi\)
\(614\) 52.7963 12.8082i 2.13069 0.516899i
\(615\) 6.17716 + 42.9631i 0.249087 + 1.73244i
\(616\) 0.272462 + 0.0756595i 0.0109778 + 0.00304841i
\(617\) 26.0764 + 3.74922i 1.04980 + 0.150938i 0.645554 0.763715i \(-0.276627\pi\)
0.404241 + 0.914652i \(0.367536\pi\)
\(618\) 8.24608 + 0.392809i 0.331706 + 0.0158011i
\(619\) 17.9485 3.45930i 0.721413 0.139041i 0.184687 0.982797i \(-0.440873\pi\)
0.536726 + 0.843757i \(0.319661\pi\)
\(620\) −32.2010 18.5913i −1.29322 0.746643i
\(621\) 3.76820 + 2.96659i 0.151213 + 0.119045i
\(622\) 64.3985i 2.58214i
\(623\) −6.41095 + 2.32518i −0.256849 + 0.0931566i
\(624\) −1.21070 0.778067i −0.0484666 0.0311476i
\(625\) 30.3807 12.1626i 1.21523 0.486504i
\(626\) 4.69523 + 6.59353i 0.187659 + 0.263530i
\(627\) 1.10413 + 0.442027i 0.0440947 + 0.0176529i
\(628\) −5.44214 22.4328i −0.217165 0.895167i
\(629\) −37.1843 57.8599i −1.48263 2.30702i
\(630\) 9.17972 18.4694i 0.365729 0.735838i
\(631\) −1.80425 6.14470i −0.0718259 0.244617i 0.915753 0.401743i \(-0.131595\pi\)
−0.987579 + 0.157126i \(0.949777\pi\)
\(632\) −0.194093 + 1.00705i −0.00772062 + 0.0400584i
\(633\) 2.97561 1.02987i 0.118270 0.0409337i
\(634\) −2.76261 + 11.3876i −0.109717 + 0.452261i
\(635\) 44.5556 62.5696i 1.76814 2.48300i
\(636\) 0.132485 0.0851432i 0.00525339 0.00337615i
\(637\) 2.13622 + 1.15079i 0.0846400 + 0.0455958i
\(638\) 8.95144 1.28702i 0.354391 0.0509537i
\(639\) −0.805861 + 0.0769504i −0.0318794 + 0.00304411i
\(640\) −3.86956 3.04306i −0.152958 0.120287i
\(641\) −1.73644 3.36823i −0.0685854 0.133037i 0.852050 0.523460i \(-0.175359\pi\)
−0.920636 + 0.390423i \(0.872329\pi\)
\(642\) −6.38184 + 18.4391i −0.251871 + 0.727734i
\(643\) −18.5664 −0.732188 −0.366094 0.930578i \(-0.619305\pi\)
−0.366094 + 0.930578i \(0.619305\pi\)
\(644\) 17.4002 17.0694i 0.685664 0.672627i
\(645\) −15.6223 −0.615129
\(646\) −7.10982 + 20.5425i −0.279732 + 0.808233i
\(647\) 3.31677 + 6.43364i 0.130396 + 0.252932i 0.944990 0.327098i \(-0.106071\pi\)
−0.814595 + 0.580031i \(0.803041\pi\)
\(648\) 0.122961 + 0.0966975i 0.00483036 + 0.00379864i
\(649\) −5.26900 + 0.503128i −0.206826 + 0.0197495i
\(650\) 7.13273 1.02553i 0.279769 0.0402247i
\(651\) −7.88958 + 10.3425i −0.309217 + 0.405354i
\(652\) −10.1087 + 6.49648i −0.395888 + 0.254422i
\(653\) −7.06547 + 9.92207i −0.276493 + 0.388281i −0.929349 0.369201i \(-0.879631\pi\)
0.652856 + 0.757482i \(0.273571\pi\)
\(654\) −2.20488 + 9.08862i −0.0862175 + 0.355393i
\(655\) 64.9921 22.4940i 2.53945 0.878913i
\(656\) −8.66295 + 44.9476i −0.338231 + 1.75491i
\(657\) −0.625704 2.13095i −0.0244110 0.0831364i
\(658\) −32.7244 + 21.7186i −1.27573 + 0.846680i
\(659\) −11.6481 18.1248i −0.453746 0.706043i 0.536726 0.843757i \(-0.319661\pi\)
−0.990472 + 0.137714i \(0.956025\pi\)
\(660\) 1.21818 + 5.02141i 0.0474176 + 0.195458i
\(661\) 24.3255 + 9.73847i 0.946153 + 0.378783i 0.792864 0.609399i \(-0.208589\pi\)
0.153289 + 0.988181i \(0.451013\pi\)
\(662\) −20.8668 29.3033i −0.811010 1.13890i
\(663\) 2.02951 0.812491i 0.0788195 0.0315545i
\(664\) −1.61248 1.03628i −0.0625765 0.0402155i
\(665\) 13.8759 + 11.6701i 0.538086 + 0.452546i
\(666\) 21.5951i 0.836793i
\(667\) −11.9304 + 29.7548i −0.461948 + 1.15211i
\(668\) −3.82012 2.20555i −0.147805 0.0853352i
\(669\) −4.18130 + 0.805879i −0.161658 + 0.0311571i
\(670\) −10.5841 0.504184i −0.408901 0.0194783i
\(671\) 4.95830 + 0.712896i 0.191413 + 0.0275210i
\(672\) 14.9285 14.6603i 0.575879 0.565532i
\(673\) −7.19786 50.0622i −0.277457 1.92976i −0.359538 0.933130i \(-0.617066\pi\)
0.0820809 0.996626i \(-0.473843\pi\)
\(674\) −8.31091 + 2.01621i −0.320124 + 0.0776613i
\(675\) −10.4865 + 0.499535i −0.403627 + 0.0192271i
\(676\) −24.6302 2.35190i −0.947314 0.0904575i
\(677\) 19.2366 + 18.3421i 0.739323 + 0.704943i 0.962935 0.269735i \(-0.0869362\pi\)
−0.223611 + 0.974678i \(0.571785\pi\)
\(678\) −3.83209 + 4.42247i −0.147171 + 0.169844i
\(679\) 41.6914 + 1.37067i 1.59997 + 0.0526015i
\(680\) 3.72644 1.09418i 0.142903 0.0419600i
\(681\) 12.1804 + 8.67365i 0.466755 + 0.332375i
\(682\) −0.316504 6.64424i −0.0121196 0.254421i
\(683\) 25.3397 24.1614i 0.969598 0.924510i −0.0275770 0.999620i \(-0.508779\pi\)
0.997175 + 0.0751096i \(0.0239307\pi\)
\(684\) 2.62850 2.06708i 0.100503 0.0790366i
\(685\) 30.7235 + 14.0310i 1.17389 + 0.536096i
\(686\) −24.1096 + 27.6339i −0.920509 + 1.05507i
\(687\) −5.46994 + 8.51140i −0.208691 + 0.324730i
\(688\) −15.5692 5.38855i −0.593570 0.205437i
\(689\) 0.0142089 0.0246105i 0.000541315 0.000937585i
\(690\) −35.8658 10.5519i −1.36539 0.401704i
\(691\) −16.9702 + 9.79773i −0.645575 + 0.372723i −0.786759 0.617260i \(-0.788243\pi\)
0.141184 + 0.989983i \(0.454909\pi\)
\(692\) 16.3465 14.1643i 0.621400 0.538446i
\(693\) 1.79676 0.198327i 0.0682534 0.00753381i
\(694\) −2.49633 + 17.3624i −0.0947594 + 0.659066i
\(695\) 4.07784 + 42.7051i 0.154681 + 1.61990i
\(696\) −0.388624 + 0.970736i −0.0147308 + 0.0367956i
\(697\) −47.9830 50.3232i −1.81749 1.90613i
\(698\) −16.2353 + 31.4921i −0.614515 + 1.19199i
\(699\) 7.65437 3.49564i 0.289515 0.132217i
\(700\) −4.28882 + 53.1855i −0.162102 + 2.01022i
\(701\) −2.59274 2.24662i −0.0979265 0.0848538i 0.604522 0.796589i \(-0.293364\pi\)
−0.702448 + 0.711735i \(0.747910\pi\)
\(702\) −0.673992 0.129901i −0.0254382 0.00490281i
\(703\) −18.4488 4.47562i −0.695808 0.168801i
\(704\) −0.477743 + 5.00315i −0.0180056 + 0.188563i
\(705\) 26.2327 + 13.5239i 0.987980 + 0.509339i
\(706\) 10.6964 36.4286i 0.402564 1.37101i
\(707\) −28.2945 + 8.76288i −1.06412 + 0.329562i
\(708\) −6.18212 + 13.5370i −0.232338 + 0.508750i
\(709\) −8.94005 22.3312i −0.335751 0.838665i −0.996143 0.0877439i \(-0.972034\pi\)
0.660392 0.750921i \(-0.270390\pi\)
\(710\) 5.60912 2.89170i 0.210507 0.108524i
\(711\) 1.24078 + 6.43779i 0.0465330 + 0.241436i
\(712\) 0.201602 + 0.349184i 0.00755534 + 0.0130862i
\(713\) 20.9524 + 10.8158i 0.784672 + 0.405056i
\(714\) 5.18346 + 32.6310i 0.193986 + 1.22118i
\(715\) 0.610577 + 0.704644i 0.0228343 + 0.0263522i
\(716\) −1.77317 + 37.2234i −0.0662664 + 1.39110i
\(717\) −18.9826 + 24.1383i −0.708917 + 0.901461i
\(718\) 5.56130 3.96019i 0.207546 0.147793i
\(719\) −9.06245 11.5238i −0.337972 0.429767i 0.587125 0.809496i \(-0.300260\pi\)
−0.925098 + 0.379729i \(0.876017\pi\)
\(720\) −15.6826 4.60482i −0.584455 0.171611i
\(721\) 2.24688 + 10.7991i 0.0836780 + 0.402180i
\(722\) −13.1366 28.7651i −0.488894 1.07053i
\(723\) 2.03993 2.13942i 0.0758660 0.0795659i
\(724\) −6.11651 17.6725i −0.227318 0.656793i
\(725\) −22.9524 66.3166i −0.852431 2.46294i
\(726\) 14.3932 15.0951i 0.534181 0.560233i
\(727\) −2.76238 6.04878i −0.102451 0.224337i 0.851464 0.524413i \(-0.175715\pi\)
−0.953915 + 0.300076i \(0.902988\pi\)
\(728\) 0.0449195 0.136249i 0.00166483 0.00504974i
\(729\) 0.959493 + 0.281733i 0.0355368 + 0.0104345i
\(730\) 10.7022 + 13.6090i 0.396108 + 0.503692i
\(731\) 20.3858 14.5167i 0.753996 0.536918i
\(732\) 8.70627 11.0709i 0.321793 0.409193i
\(733\) 2.19750 46.1311i 0.0811664 1.70389i −0.480880 0.876786i \(-0.659683\pi\)
0.562046 0.827106i \(-0.310014\pi\)
\(734\) 5.09236 + 5.87690i 0.187962 + 0.216920i
\(735\) 26.9606 + 5.70501i 0.994458 + 0.210433i
\(736\) −30.8824 22.0161i −1.13834 0.811523i
\(737\) −0.464351 0.804280i −0.0171046 0.0296260i
\(738\) 4.13173 + 21.4375i 0.152091 + 0.789124i
\(739\) −18.9456 + 9.76716i −0.696927 + 0.359291i −0.770007 0.638035i \(-0.779747\pi\)
0.0730804 + 0.997326i \(0.476717\pi\)
\(740\) −30.6533 76.5682i −1.12684 2.81470i
\(741\) 0.250661 0.548871i 0.00920826 0.0201633i
\(742\) 0.315176 + 0.291775i 0.0115705 + 0.0107114i
\(743\) 14.1348 48.1386i 0.518554 1.76603i −0.116102 0.993237i \(-0.537040\pi\)
0.634656 0.772795i \(-0.281142\pi\)
\(744\) 0.683602 + 0.352422i 0.0250621 + 0.0129204i
\(745\) −4.04013 + 42.3102i −0.148019 + 1.55012i
\(746\) −1.98709 0.482064i −0.0727527 0.0176496i
\(747\) −12.0319 2.31896i −0.440224 0.0848461i
\(748\) −6.25563 5.42054i −0.228729 0.198194i
\(749\) −25.9867 2.09553i −0.949533 0.0765692i
\(750\) 38.9894 17.8059i 1.42369 0.650178i
\(751\) 1.18162 2.29202i 0.0431178 0.0836369i −0.866292 0.499538i \(-0.833503\pi\)
0.909410 + 0.415901i \(0.136534\pi\)
\(752\) 21.4787 + 22.5262i 0.783247 + 0.821446i
\(753\) 0.661839 1.65319i 0.0241188 0.0602458i
\(754\) −0.436134 4.56741i −0.0158831 0.166335i
\(755\) 2.87796 20.0166i 0.104740 0.728480i
\(756\) 2.04299 4.65381i 0.0743030 0.169257i
\(757\) 2.69550 2.33567i 0.0979698 0.0848913i −0.604499 0.796606i \(-0.706627\pi\)
0.702469 + 0.711715i \(0.252081\pi\)
\(758\) 38.9188 22.4698i 1.41359 0.816139i
\(759\) −0.921475 3.14445i −0.0334474 0.114136i
\(760\) 0.535991 0.928363i 0.0194424 0.0336753i
\(761\) −34.4020 11.9066i −1.24707 0.431615i −0.377770 0.925899i \(-0.623309\pi\)
−0.869301 + 0.494284i \(0.835430\pi\)
\(762\) 20.8879 32.5023i 0.756690 1.17743i
\(763\) −12.4945 + 0.184122i −0.452332 + 0.00666566i
\(764\) 40.0194 + 18.2763i 1.44785 + 0.661212i
\(765\) 19.5159 15.3475i 0.705600 0.554890i
\(766\) 51.8896 49.4766i 1.87485 1.78766i
\(767\) 0.127775 + 2.68232i 0.00461368 + 0.0968531i
\(768\) −14.0010 9.97010i −0.505219 0.359765i
\(769\) −39.7059 + 11.6587i −1.43183 + 0.420423i −0.903490 0.428609i \(-0.859004\pi\)
−0.528341 + 0.849032i \(0.677186\pi\)
\(770\) −12.4287 + 6.64104i −0.447899 + 0.239326i
\(771\) −4.68076 + 5.40188i −0.168573 + 0.194544i
\(772\) −12.9212 12.3203i −0.465043 0.443417i
\(773\) 27.1510 + 2.59261i