Properties

Label 770.2.o.a.549.2
Level $770$
Weight $2$
Character 770.549
Analytic conductor $6.148$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 770.o (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.14848095564\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(24\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 549.2
Character \(\chi\) \(=\) 770.549
Dual form 770.2.o.a.439.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.500000 - 0.866025i) q^{2} +(-1.64811 + 2.85461i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-0.0163520 - 2.23601i) q^{5} +3.29622 q^{6} +(-1.01398 - 2.44374i) q^{7} +1.00000 q^{8} +(-3.93253 - 6.81133i) q^{9} +O(q^{10})\) \(q+(-0.500000 - 0.866025i) q^{2} +(-1.64811 + 2.85461i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-0.0163520 - 2.23601i) q^{5} +3.29622 q^{6} +(-1.01398 - 2.44374i) q^{7} +1.00000 q^{8} +(-3.93253 - 6.81133i) q^{9} +(-1.92826 + 1.13217i) q^{10} +(2.63390 + 2.01558i) q^{11} +(-1.64811 - 2.85461i) q^{12} +3.27717i q^{13} +(-1.60935 + 2.10000i) q^{14} +(6.40988 + 3.63851i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(1.23162 + 0.711075i) q^{17} +(-3.93253 + 6.81133i) q^{18} +(1.91637 + 3.31925i) q^{19} +(1.94462 + 1.10384i) q^{20} +(8.64706 + 1.13302i) q^{21} +(0.428594 - 3.28882i) q^{22} +(-1.95978 + 1.13148i) q^{23} +(-1.64811 + 2.85461i) q^{24} +(-4.99947 + 0.0731264i) q^{25} +(2.83811 - 1.63858i) q^{26} +16.0363 q^{27} +(2.62333 + 0.343734i) q^{28} +2.06417i q^{29} +(-0.0538997 - 7.37037i) q^{30} +(-4.72022 - 2.72522i) q^{31} +(-0.500000 + 0.866025i) q^{32} +(-10.0946 + 4.19686i) q^{33} -1.42215i q^{34} +(-5.44763 + 2.30723i) q^{35} +7.86505 q^{36} +(-5.46243 + 3.15373i) q^{37} +(1.91637 - 3.31925i) q^{38} +(-9.35503 - 5.40113i) q^{39} +(-0.0163520 - 2.23601i) q^{40} -9.52703 q^{41} +(-3.34230 - 8.05508i) q^{42} +3.88214 q^{43} +(-3.06249 + 1.27323i) q^{44} +(-15.1659 + 8.90454i) q^{45} +(1.95978 + 1.13148i) q^{46} +(6.42172 + 11.1227i) q^{47} +3.29622 q^{48} +(-4.94368 + 4.95580i) q^{49} +(2.56306 + 4.29310i) q^{50} +(-4.05968 + 2.34386i) q^{51} +(-2.83811 - 1.63858i) q^{52} +(-5.28186 - 3.04948i) q^{53} +(-8.01813 - 13.8878i) q^{54} +(4.46379 - 5.92238i) q^{55} +(-1.01398 - 2.44374i) q^{56} -12.6335 q^{57} +(1.78763 - 1.03209i) q^{58} +(9.91941 + 5.72697i) q^{59} +(-6.35598 + 3.73186i) q^{60} +(0.842907 + 1.45996i) q^{61} +5.45044i q^{62} +(-12.6576 + 16.5166i) q^{63} +1.00000 q^{64} +(7.32777 - 0.0535882i) q^{65} +(8.68191 + 6.64379i) q^{66} +(-4.99265 - 2.88251i) q^{67} +(-1.23162 + 0.711075i) q^{68} -7.45919i q^{69} +(4.72194 + 3.56417i) q^{70} -9.01579 q^{71} +(-3.93253 - 6.81133i) q^{72} +(11.7157 + 6.76404i) q^{73} +(5.46243 + 3.15373i) q^{74} +(8.03092 - 14.3920i) q^{75} -3.83274 q^{76} +(2.25482 - 8.48032i) q^{77} +10.8023i q^{78} +(-0.362507 + 0.209294i) q^{79} +(-1.92826 + 1.13217i) q^{80} +(-14.6319 + 25.3433i) q^{81} +(4.76352 + 8.25065i) q^{82} +13.2975i q^{83} +(-5.30476 + 6.92206i) q^{84} +(1.56983 - 2.76553i) q^{85} +(-1.94107 - 3.36203i) q^{86} +(-5.89240 - 3.40198i) q^{87} +(2.63390 + 2.01558i) q^{88} +(-7.47672 + 4.31669i) q^{89} +(15.2945 + 8.68178i) q^{90} +(8.00853 - 3.32299i) q^{91} -2.26295i q^{92} +(15.5589 - 8.98292i) q^{93} +(6.42172 - 11.1227i) q^{94} +(7.39053 - 4.33929i) q^{95} +(-1.64811 - 2.85461i) q^{96} -2.51839 q^{97} +(6.76369 + 1.80345i) q^{98} +(3.37091 - 25.8667i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48 q - 24 q^{2} - 24 q^{4} - 6 q^{5} - 4 q^{7} + 48 q^{8} - 28 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 48 q - 24 q^{2} - 24 q^{4} - 6 q^{5} - 4 q^{7} + 48 q^{8} - 28 q^{9} + 6 q^{10} + q^{11} + 2 q^{14} + 4 q^{15} - 24 q^{16} - 28 q^{18} - 2 q^{22} - 6 q^{26} + 2 q^{28} - 2 q^{30} + 12 q^{31} - 24 q^{32} + 24 q^{33} - 8 q^{35} + 56 q^{36} - 6 q^{40} + 24 q^{43} + q^{44} + 6 q^{45} - 36 q^{49} + 6 q^{52} - 4 q^{56} - 4 q^{57} - 2 q^{60} - 52 q^{63} + 48 q^{64} - 24 q^{66} - 2 q^{70} - 40 q^{71} - 28 q^{72} + 42 q^{73} + 90 q^{75} + 19 q^{77} + 6 q^{80} - 72 q^{81} - 40 q^{85} - 12 q^{86} + 18 q^{87} + q^{88} + 60 q^{89} - 56 q^{91} + 24 q^{95} + 42 q^{98} - 58 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).

\(n\) \(211\) \(617\) \(661\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.500000 0.866025i −0.353553 0.612372i
\(3\) −1.64811 + 2.85461i −0.951536 + 1.64811i −0.209433 + 0.977823i \(0.567162\pi\)
−0.742103 + 0.670286i \(0.766171\pi\)
\(4\) −0.500000 + 0.866025i −0.250000 + 0.433013i
\(5\) −0.0163520 2.23601i −0.00731284 0.999973i
\(6\) 3.29622 1.34568
\(7\) −1.01398 2.44374i −0.383249 0.923645i
\(8\) 1.00000 0.353553
\(9\) −3.93253 6.81133i −1.31084 2.27044i
\(10\) −1.92826 + 1.13217i −0.609771 + 0.358022i
\(11\) 2.63390 + 2.01558i 0.794151 + 0.607720i
\(12\) −1.64811 2.85461i −0.475768 0.824054i
\(13\) 3.27717i 0.908923i 0.890766 + 0.454461i \(0.150168\pi\)
−0.890766 + 0.454461i \(0.849832\pi\)
\(14\) −1.60935 + 2.10000i −0.430116 + 0.561249i
\(15\) 6.40988 + 3.63851i 1.65502 + 0.939458i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) 1.23162 + 0.711075i 0.298711 + 0.172461i 0.641864 0.766819i \(-0.278161\pi\)
−0.343153 + 0.939280i \(0.611495\pi\)
\(18\) −3.93253 + 6.81133i −0.926905 + 1.60545i
\(19\) 1.91637 + 3.31925i 0.439645 + 0.761487i 0.997662 0.0683422i \(-0.0217710\pi\)
−0.558017 + 0.829829i \(0.688438\pi\)
\(20\) 1.94462 + 1.10384i 0.434829 + 0.246827i
\(21\) 8.64706 + 1.13302i 1.88694 + 0.247246i
\(22\) 0.428594 3.28882i 0.0913765 0.701178i
\(23\) −1.95978 + 1.13148i −0.408641 + 0.235929i −0.690206 0.723613i \(-0.742480\pi\)
0.281564 + 0.959542i \(0.409147\pi\)
\(24\) −1.64811 + 2.85461i −0.336419 + 0.582694i
\(25\) −4.99947 + 0.0731264i −0.999893 + 0.0146253i
\(26\) 2.83811 1.63858i 0.556599 0.321353i
\(27\) 16.0363 3.08618
\(28\) 2.62333 + 0.343734i 0.495762 + 0.0649597i
\(29\) 2.06417i 0.383307i 0.981463 + 0.191654i \(0.0613850\pi\)
−0.981463 + 0.191654i \(0.938615\pi\)
\(30\) −0.0538997 7.37037i −0.00984070 1.34564i
\(31\) −4.72022 2.72522i −0.847776 0.489464i 0.0121236 0.999927i \(-0.496141\pi\)
−0.859900 + 0.510463i \(0.829474\pi\)
\(32\) −0.500000 + 0.866025i −0.0883883 + 0.153093i
\(33\) −10.0946 + 4.19686i −1.75725 + 0.730579i
\(34\) 1.42215i 0.243897i
\(35\) −5.44763 + 2.30723i −0.920818 + 0.389993i
\(36\) 7.86505 1.31084
\(37\) −5.46243 + 3.15373i −0.898017 + 0.518471i −0.876556 0.481299i \(-0.840165\pi\)
−0.0214609 + 0.999770i \(0.506832\pi\)
\(38\) 1.91637 3.31925i 0.310876 0.538453i
\(39\) −9.35503 5.40113i −1.49800 0.864873i
\(40\) −0.0163520 2.23601i −0.00258548 0.353544i
\(41\) −9.52703 −1.48787 −0.743936 0.668251i \(-0.767043\pi\)
−0.743936 + 0.668251i \(0.767043\pi\)
\(42\) −3.34230 8.05508i −0.515729 1.24293i
\(43\) 3.88214 0.592021 0.296011 0.955185i \(-0.404344\pi\)
0.296011 + 0.955185i \(0.404344\pi\)
\(44\) −3.06249 + 1.27323i −0.461688 + 0.191947i
\(45\) −15.1659 + 8.90454i −2.26080 + 1.32741i
\(46\) 1.95978 + 1.13148i 0.288953 + 0.166827i
\(47\) 6.42172 + 11.1227i 0.936704 + 1.62242i 0.771567 + 0.636148i \(0.219473\pi\)
0.165137 + 0.986271i \(0.447193\pi\)
\(48\) 3.29622 0.475768
\(49\) −4.94368 + 4.95580i −0.706241 + 0.707972i
\(50\) 2.56306 + 4.29310i 0.362472 + 0.607136i
\(51\) −4.05968 + 2.34386i −0.568469 + 0.328206i
\(52\) −2.83811 1.63858i −0.393575 0.227231i
\(53\) −5.28186 3.04948i −0.725519 0.418878i 0.0912618 0.995827i \(-0.470910\pi\)
−0.816781 + 0.576948i \(0.804243\pi\)
\(54\) −8.01813 13.8878i −1.09113 1.88989i
\(55\) 4.46379 5.92238i 0.601897 0.798574i
\(56\) −1.01398 2.44374i −0.135499 0.326558i
\(57\) −12.6335 −1.67335
\(58\) 1.78763 1.03209i 0.234727 0.135520i
\(59\) 9.91941 + 5.72697i 1.29140 + 0.745588i 0.978902 0.204331i \(-0.0655019\pi\)
0.312495 + 0.949919i \(0.398835\pi\)
\(60\) −6.35598 + 3.73186i −0.820553 + 0.481782i
\(61\) 0.842907 + 1.45996i 0.107923 + 0.186928i 0.914929 0.403615i \(-0.132247\pi\)
−0.807006 + 0.590544i \(0.798913\pi\)
\(62\) 5.45044i 0.692207i
\(63\) −12.6576 + 16.5166i −1.59471 + 2.08090i
\(64\) 1.00000 0.125000
\(65\) 7.32777 0.0535882i 0.908898 0.00664680i
\(66\) 8.68191 + 6.64379i 1.06867 + 0.817794i
\(67\) −4.99265 2.88251i −0.609950 0.352155i 0.162996 0.986627i \(-0.447884\pi\)
−0.772946 + 0.634472i \(0.781218\pi\)
\(68\) −1.23162 + 0.711075i −0.149356 + 0.0862305i
\(69\) 7.45919i 0.897981i
\(70\) 4.72194 + 3.56417i 0.564379 + 0.426000i
\(71\) −9.01579 −1.06998 −0.534989 0.844859i \(-0.679684\pi\)
−0.534989 + 0.844859i \(0.679684\pi\)
\(72\) −3.93253 6.81133i −0.463453 0.802723i
\(73\) 11.7157 + 6.76404i 1.37121 + 0.791671i 0.991081 0.133261i \(-0.0425449\pi\)
0.380133 + 0.924932i \(0.375878\pi\)
\(74\) 5.46243 + 3.15373i 0.634994 + 0.366614i
\(75\) 8.03092 14.3920i 0.927330 1.66185i
\(76\) −3.83274 −0.439645
\(77\) 2.25482 8.48032i 0.256961 0.966422i
\(78\) 10.8023i 1.22311i
\(79\) −0.362507 + 0.209294i −0.0407852 + 0.0235474i −0.520254 0.854012i \(-0.674163\pi\)
0.479469 + 0.877559i \(0.340829\pi\)
\(80\) −1.92826 + 1.13217i −0.215586 + 0.126580i
\(81\) −14.6319 + 25.3433i −1.62577 + 2.81592i
\(82\) 4.76352 + 8.25065i 0.526042 + 0.911132i
\(83\) 13.2975i 1.45959i 0.683667 + 0.729794i \(0.260384\pi\)
−0.683667 + 0.729794i \(0.739616\pi\)
\(84\) −5.30476 + 6.92206i −0.578796 + 0.755259i
\(85\) 1.56983 2.76553i 0.170272 0.299964i
\(86\) −1.94107 3.36203i −0.209311 0.362537i
\(87\) −5.89240 3.40198i −0.631732 0.364731i
\(88\) 2.63390 + 2.01558i 0.280775 + 0.214862i
\(89\) −7.47672 + 4.31669i −0.792531 + 0.457568i −0.840853 0.541264i \(-0.817946\pi\)
0.0483217 + 0.998832i \(0.484613\pi\)
\(90\) 15.2945 + 8.68178i 1.61218 + 0.915140i
\(91\) 8.00853 3.32299i 0.839522 0.348344i
\(92\) 2.26295i 0.235929i
\(93\) 15.5589 8.98292i 1.61338 0.931485i
\(94\) 6.42172 11.1227i 0.662350 1.14722i
\(95\) 7.39053 4.33929i 0.758252 0.445202i
\(96\) −1.64811 2.85461i −0.168209 0.291347i
\(97\) −2.51839 −0.255704 −0.127852 0.991793i \(-0.540808\pi\)
−0.127852 + 0.991793i \(0.540808\pi\)
\(98\) 6.76369 + 1.80345i 0.683236 + 0.182176i
\(99\) 3.37091 25.8667i 0.338789 2.59970i
\(100\) 2.43640 4.36623i 0.243640 0.436623i
\(101\) −5.22461 + 9.04930i −0.519868 + 0.900439i 0.479865 + 0.877342i \(0.340686\pi\)
−0.999733 + 0.0230962i \(0.992648\pi\)
\(102\) 4.05968 + 2.34386i 0.401968 + 0.232076i
\(103\) −1.99232 3.45080i −0.196309 0.340018i 0.751020 0.660280i \(-0.229562\pi\)
−0.947329 + 0.320262i \(0.896229\pi\)
\(104\) 3.27717i 0.321353i
\(105\) 2.39205 19.3534i 0.233440 1.88870i
\(106\) 6.09896i 0.592384i
\(107\) −1.21293 2.10086i −0.117259 0.203098i 0.801422 0.598100i \(-0.204077\pi\)
−0.918680 + 0.395002i \(0.870744\pi\)
\(108\) −8.01813 + 13.8878i −0.771545 + 1.33636i
\(109\) −1.99272 1.15050i −0.190868 0.110198i 0.401521 0.915850i \(-0.368482\pi\)
−0.592389 + 0.805652i \(0.701815\pi\)
\(110\) −7.36083 0.904560i −0.701827 0.0862464i
\(111\) 20.7908i 1.97337i
\(112\) −1.60935 + 2.10000i −0.152069 + 0.198431i
\(113\) 0.248341i 0.0233619i 0.999932 + 0.0116810i \(0.00371825\pi\)
−0.999932 + 0.0116810i \(0.996282\pi\)
\(114\) 6.31677 + 10.9410i 0.591619 + 1.02471i
\(115\) 2.56204 + 4.36357i 0.238911 + 0.406905i
\(116\) −1.78763 1.03209i −0.165977 0.0958268i
\(117\) 22.3219 12.8875i 2.06366 1.19145i
\(118\) 11.4539i 1.05442i
\(119\) 0.488841 3.73076i 0.0448120 0.341999i
\(120\) 6.40988 + 3.63851i 0.585139 + 0.332149i
\(121\) 2.87487 + 10.6177i 0.261352 + 0.965244i
\(122\) 0.842907 1.45996i 0.0763132 0.132178i
\(123\) 15.7016 27.1959i 1.41576 2.45218i
\(124\) 4.72022 2.72522i 0.423888 0.244732i
\(125\) 0.245262 + 11.1776i 0.0219369 + 0.999759i
\(126\) 20.6326 + 2.70349i 1.83810 + 0.240846i
\(127\) 19.1683 1.70091 0.850455 0.526048i \(-0.176327\pi\)
0.850455 + 0.526048i \(0.176327\pi\)
\(128\) −0.500000 0.866025i −0.0441942 0.0765466i
\(129\) −6.39819 + 11.0820i −0.563329 + 0.975715i
\(130\) −3.71029 6.31924i −0.325414 0.554234i
\(131\) 8.58237 + 14.8651i 0.749845 + 1.29877i 0.947896 + 0.318578i \(0.103205\pi\)
−0.198051 + 0.980192i \(0.563461\pi\)
\(132\) 1.41274 10.8407i 0.122963 0.943558i
\(133\) 6.16820 8.04875i 0.534851 0.697915i
\(134\) 5.76502i 0.498022i
\(135\) −0.262225 35.8572i −0.0225687 3.08610i
\(136\) 1.23162 + 0.711075i 0.105610 + 0.0609742i
\(137\) 0.683300 + 0.394503i 0.0583782 + 0.0337047i 0.528905 0.848681i \(-0.322603\pi\)
−0.470527 + 0.882386i \(0.655936\pi\)
\(138\) −6.45985 + 3.72959i −0.549899 + 0.317484i
\(139\) −1.96370 −0.166559 −0.0832796 0.996526i \(-0.526539\pi\)
−0.0832796 + 0.996526i \(0.526539\pi\)
\(140\) 0.725696 5.87140i 0.0613325 0.496224i
\(141\) −42.3348 −3.56523
\(142\) 4.50790 + 7.80791i 0.378294 + 0.655225i
\(143\) −6.60539 + 8.63173i −0.552371 + 0.721822i
\(144\) −3.93253 + 6.81133i −0.327710 + 0.567611i
\(145\) 4.61551 0.0337533i 0.383297 0.00280306i
\(146\) 13.5281i 1.11959i
\(147\) −5.99915 22.2800i −0.494801 1.83762i
\(148\) 6.30747i 0.518471i
\(149\) −7.53677 + 4.35135i −0.617436 + 0.356477i −0.775870 0.630893i \(-0.782689\pi\)
0.158434 + 0.987370i \(0.449355\pi\)
\(150\) −16.4793 + 0.241041i −1.34553 + 0.0196809i
\(151\) 9.73317 + 5.61945i 0.792074 + 0.457304i 0.840692 0.541513i \(-0.182148\pi\)
−0.0486179 + 0.998817i \(0.515482\pi\)
\(152\) 1.91637 + 3.31925i 0.155438 + 0.269226i
\(153\) 11.1853i 0.904276i
\(154\) −8.47158 + 2.28743i −0.682659 + 0.184326i
\(155\) −6.01643 + 10.5990i −0.483251 + 0.851333i
\(156\) 9.35503 5.40113i 0.749002 0.432436i
\(157\) 4.34275 7.52187i 0.346589 0.600310i −0.639052 0.769164i \(-0.720673\pi\)
0.985641 + 0.168853i \(0.0540064\pi\)
\(158\) 0.362507 + 0.209294i 0.0288395 + 0.0166505i
\(159\) 17.4101 10.0518i 1.38071 0.797156i
\(160\) 1.94462 + 1.10384i 0.153735 + 0.0872664i
\(161\) 4.75220 + 3.64188i 0.374526 + 0.287020i
\(162\) 29.2639 2.29919
\(163\) −14.0268 + 8.09839i −1.09867 + 0.634315i −0.935870 0.352345i \(-0.885384\pi\)
−0.162795 + 0.986660i \(0.552051\pi\)
\(164\) 4.76352 8.25065i 0.371968 0.644268i
\(165\) 9.54928 + 22.5031i 0.743410 + 1.75186i
\(166\) 11.5160 6.64874i 0.893811 0.516042i
\(167\) 8.82456i 0.682865i 0.939906 + 0.341433i \(0.110912\pi\)
−0.939906 + 0.341433i \(0.889088\pi\)
\(168\) 8.64706 + 1.13302i 0.667135 + 0.0874146i
\(169\) 2.26018 0.173860
\(170\) −3.17994 + 0.0232550i −0.243890 + 0.00178358i
\(171\) 15.0723 26.1060i 1.15261 1.99638i
\(172\) −1.94107 + 3.36203i −0.148005 + 0.256353i
\(173\) 10.3263 5.96191i 0.785096 0.453275i −0.0531373 0.998587i \(-0.516922\pi\)
0.838233 + 0.545312i \(0.183589\pi\)
\(174\) 6.80396i 0.515807i
\(175\) 5.24807 + 12.1432i 0.396716 + 0.917941i
\(176\) 0.428594 3.28882i 0.0323065 0.247904i
\(177\) −32.6965 + 18.8774i −2.45762 + 1.41891i
\(178\) 7.47672 + 4.31669i 0.560404 + 0.323549i
\(179\) −6.13827 + 10.6318i −0.458796 + 0.794658i −0.998898 0.0469420i \(-0.985052\pi\)
0.540102 + 0.841600i \(0.318386\pi\)
\(180\) −0.128609 17.5863i −0.00958597 1.31081i
\(181\) 1.61928i 0.120360i 0.998188 + 0.0601802i \(0.0191675\pi\)
−0.998188 + 0.0601802i \(0.980832\pi\)
\(182\) −6.88205 5.27410i −0.510132 0.390942i
\(183\) −5.55681 −0.410771
\(184\) −1.95978 + 1.13148i −0.144477 + 0.0834136i
\(185\) 7.14110 + 12.1625i 0.525024 + 0.894202i
\(186\) −15.5589 8.98292i −1.14083 0.658659i
\(187\) 1.81073 + 4.35533i 0.132414 + 0.318493i
\(188\) −12.8434 −0.936704
\(189\) −16.2605 39.1884i −1.18278 2.85054i
\(190\) −7.45320 4.23074i −0.540712 0.306930i
\(191\) −3.17504 5.49934i −0.229738 0.397918i 0.727992 0.685585i \(-0.240454\pi\)
−0.957730 + 0.287667i \(0.907120\pi\)
\(192\) −1.64811 + 2.85461i −0.118942 + 0.206014i
\(193\) 2.33260 4.04017i 0.167904 0.290818i −0.769779 0.638311i \(-0.779633\pi\)
0.937683 + 0.347493i \(0.112967\pi\)
\(194\) 1.25920 + 2.18099i 0.0904050 + 0.156586i
\(195\) −11.9240 + 21.0062i −0.853895 + 1.50429i
\(196\) −1.82001 6.75926i −0.130001 0.482804i
\(197\) −14.6573 −1.04429 −0.522146 0.852856i \(-0.674868\pi\)
−0.522146 + 0.852856i \(0.674868\pi\)
\(198\) −24.0867 + 10.0141i −1.71177 + 0.711668i
\(199\) −8.63358 4.98460i −0.612019 0.353349i 0.161737 0.986834i \(-0.448291\pi\)
−0.773755 + 0.633485i \(0.781624\pi\)
\(200\) −4.99947 + 0.0731264i −0.353516 + 0.00517082i
\(201\) 16.4569 9.50138i 1.16078 0.670176i
\(202\) 10.4492 0.735205
\(203\) 5.04429 2.09303i 0.354040 0.146902i
\(204\) 4.68771i 0.328206i
\(205\) 0.155786 + 21.3025i 0.0108806 + 1.48783i
\(206\) −1.99232 + 3.45080i −0.138812 + 0.240429i
\(207\) 15.4137 + 8.89912i 1.07133 + 0.618532i
\(208\) 2.83811 1.63858i 0.196788 0.113615i
\(209\) −1.64269 + 12.6052i −0.113627 + 0.871917i
\(210\) −17.9566 + 7.60513i −1.23912 + 0.524804i
\(211\) 25.0957i 1.72766i −0.503787 0.863828i \(-0.668060\pi\)
0.503787 0.863828i \(-0.331940\pi\)
\(212\) 5.28186 3.04948i 0.362759 0.209439i
\(213\) 14.8590 25.7366i 1.01812 1.76344i
\(214\) −1.21293 + 2.10086i −0.0829144 + 0.143612i
\(215\) −0.0634808 8.68050i −0.00432935 0.592005i
\(216\) 16.0363 1.09113
\(217\) −1.87350 + 14.2983i −0.127182 + 0.970631i
\(218\) 2.30100i 0.155843i
\(219\) −38.6174 + 22.2957i −2.60952 + 1.50661i
\(220\) 2.89704 + 6.82694i 0.195318 + 0.460272i
\(221\) −2.33031 + 4.03622i −0.156754 + 0.271505i
\(222\) −18.0053 + 10.3954i −1.20844 + 0.697693i
\(223\) 0.135830 0.00909587 0.00454793 0.999990i \(-0.498552\pi\)
0.00454793 + 0.999990i \(0.498552\pi\)
\(224\) 2.62333 + 0.343734i 0.175278 + 0.0229667i
\(225\) 20.1586 + 33.7655i 1.34391 + 2.25103i
\(226\) 0.215069 0.124170i 0.0143062 0.00825969i
\(227\) −19.4884 11.2517i −1.29349 0.746798i −0.314221 0.949350i \(-0.601743\pi\)
−0.979272 + 0.202551i \(0.935077\pi\)
\(228\) 6.31677 10.9410i 0.418338 0.724583i
\(229\) 20.1082 11.6095i 1.32879 0.767175i 0.343674 0.939089i \(-0.388329\pi\)
0.985112 + 0.171914i \(0.0549952\pi\)
\(230\) 2.49794 4.40058i 0.164710 0.290165i
\(231\) 20.4918 + 20.4131i 1.34826 + 1.34308i
\(232\) 2.06417i 0.135520i
\(233\) −9.44733 16.3632i −0.618915 1.07199i −0.989684 0.143267i \(-0.954239\pi\)
0.370769 0.928725i \(-0.379094\pi\)
\(234\) −22.3219 12.8875i −1.45923 0.842485i
\(235\) 24.7655 14.5409i 1.61553 0.948543i
\(236\) −9.91941 + 5.72697i −0.645699 + 0.372794i
\(237\) 1.37975i 0.0896247i
\(238\) −3.47536 + 1.44203i −0.225274 + 0.0934731i
\(239\) 3.19029i 0.206363i 0.994663 + 0.103181i \(0.0329022\pi\)
−0.994663 + 0.103181i \(0.967098\pi\)
\(240\) −0.0538997 7.37037i −0.00347921 0.475755i
\(241\) 11.2617 19.5059i 0.725433 1.25649i −0.233362 0.972390i \(-0.574973\pi\)
0.958796 0.284097i \(-0.0916938\pi\)
\(242\) 7.75775 7.79855i 0.498687 0.501310i
\(243\) −24.1757 41.8735i −1.55087 2.68618i
\(244\) −1.68581 −0.107923
\(245\) 11.1621 + 10.9731i 0.713118 + 0.701044i
\(246\) −31.4032 −2.00219
\(247\) −10.8777 + 6.28026i −0.692133 + 0.399603i
\(248\) −4.72022 2.72522i −0.299734 0.173052i
\(249\) −37.9591 21.9157i −2.40556 1.38885i
\(250\) 9.55750 5.80123i 0.604469 0.366902i
\(251\) 4.70092i 0.296719i −0.988933 0.148360i \(-0.952601\pi\)
0.988933 0.148360i \(-0.0473993\pi\)
\(252\) −7.97501 19.2201i −0.502379 1.21075i
\(253\) −7.44244 0.969887i −0.467902 0.0609763i
\(254\) −9.58414 16.6002i −0.601362 1.04159i
\(255\) 5.30727 + 9.03915i 0.332354 + 0.566054i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 3.08013 + 5.33494i 0.192133 + 0.332784i 0.945957 0.324292i \(-0.105126\pi\)
−0.753824 + 0.657077i \(0.771793\pi\)
\(258\) 12.7964 0.796668
\(259\) 13.2457 + 10.1509i 0.823047 + 0.630746i
\(260\) −3.61748 + 6.37283i −0.224346 + 0.395226i
\(261\) 14.0598 8.11741i 0.870278 0.502455i
\(262\) 8.58237 14.8651i 0.530221 0.918369i
\(263\) −0.788649 + 1.36598i −0.0486302 + 0.0842299i −0.889316 0.457293i \(-0.848819\pi\)
0.840686 + 0.541523i \(0.182152\pi\)
\(264\) −10.0946 + 4.19686i −0.621283 + 0.258299i
\(265\) −6.73230 + 11.8601i −0.413562 + 0.728563i
\(266\) −10.0545 1.31744i −0.616482 0.0807776i
\(267\) 28.4575i 1.74157i
\(268\) 4.99265 2.88251i 0.304975 0.176077i
\(269\) −15.5646 8.98623i −0.948990 0.547900i −0.0562232 0.998418i \(-0.517906\pi\)
−0.892767 + 0.450518i \(0.851239\pi\)
\(270\) −30.9222 + 18.1557i −1.88186 + 1.10492i
\(271\) −14.1633 24.5316i −0.860360 1.49019i −0.871582 0.490250i \(-0.836906\pi\)
0.0112225 0.999937i \(-0.496428\pi\)
\(272\) 1.42215i 0.0862305i
\(273\) −3.71310 + 28.3379i −0.224727 + 1.71508i
\(274\) 0.789007i 0.0476656i
\(275\) −13.3155 9.88422i −0.802954 0.596041i
\(276\) 6.45985 + 3.72959i 0.388837 + 0.224495i
\(277\) 2.06046 3.56882i 0.123801 0.214430i −0.797463 0.603368i \(-0.793825\pi\)
0.921264 + 0.388939i \(0.127158\pi\)
\(278\) 0.981852 + 1.70062i 0.0588876 + 0.101996i
\(279\) 42.8680i 2.56644i
\(280\) −5.44763 + 2.30723i −0.325558 + 0.137883i
\(281\) 27.7634i 1.65622i 0.560563 + 0.828111i \(0.310585\pi\)
−0.560563 + 0.828111i \(0.689415\pi\)
\(282\) 21.1674 + 36.6630i 1.26050 + 2.18325i
\(283\) 10.1873 + 5.88163i 0.605571 + 0.349627i 0.771230 0.636556i \(-0.219642\pi\)
−0.165659 + 0.986183i \(0.552975\pi\)
\(284\) 4.50790 7.80791i 0.267494 0.463314i
\(285\) 0.206583 + 28.2487i 0.0122369 + 1.67331i
\(286\) 10.7780 + 1.40457i 0.637316 + 0.0830541i
\(287\) 9.66023 + 23.2815i 0.570225 + 1.37427i
\(288\) 7.86505 0.463453
\(289\) −7.48875 12.9709i −0.440514 0.762993i
\(290\) −2.33698 3.98027i −0.137232 0.233729i
\(291\) 4.15058 7.18902i 0.243311 0.421428i
\(292\) −11.7157 + 6.76404i −0.685607 + 0.395835i
\(293\) 27.3926i 1.60029i −0.599804 0.800147i \(-0.704755\pi\)
0.599804 0.800147i \(-0.295245\pi\)
\(294\) −16.2955 + 16.3354i −0.950371 + 0.952700i
\(295\) 12.6434 22.2735i 0.736125 1.29681i
\(296\) −5.46243 + 3.15373i −0.317497 + 0.183307i
\(297\) 42.2379 + 32.3224i 2.45089 + 1.87554i
\(298\) 7.53677 + 4.35135i 0.436593 + 0.252067i
\(299\) −3.70804 6.42251i −0.214441 0.371423i
\(300\) 8.44841 + 14.1510i 0.487769 + 0.817008i
\(301\) −3.93642 9.48693i −0.226891 0.546817i
\(302\) 11.2389i 0.646726i
\(303\) −17.2215 29.8285i −0.989347 1.71360i
\(304\) 1.91637 3.31925i 0.109911 0.190372i
\(305\) 3.25069 1.90862i 0.186134 0.109287i
\(306\) −9.68674 + 5.59264i −0.553754 + 0.319710i
\(307\) 28.7598i 1.64141i 0.571352 + 0.820705i \(0.306419\pi\)
−0.571352 + 0.820705i \(0.693581\pi\)
\(308\) 6.21676 + 6.19289i 0.354233 + 0.352873i
\(309\) 13.1342 0.747181
\(310\) 12.1872 0.0891256i 0.692188 0.00506199i
\(311\) 22.5884 + 13.0414i 1.28087 + 0.739511i 0.977007 0.213205i \(-0.0683902\pi\)
0.303863 + 0.952716i \(0.401724\pi\)
\(312\) −9.35503 5.40113i −0.529624 0.305779i
\(313\) −3.06134 5.30240i −0.173037 0.299709i 0.766443 0.642312i \(-0.222025\pi\)
−0.939480 + 0.342603i \(0.888691\pi\)
\(314\) −8.68551 −0.490151
\(315\) 37.1383 + 28.0324i 2.09250 + 1.57945i
\(316\) 0.418587i 0.0235474i
\(317\) 18.0043 10.3948i 1.01122 0.583829i 0.0996720 0.995020i \(-0.468221\pi\)
0.911549 + 0.411192i \(0.134887\pi\)
\(318\) −17.4101 10.0518i −0.976313 0.563674i
\(319\) −4.16051 + 5.43683i −0.232944 + 0.304404i
\(320\) −0.0163520 2.23601i −0.000914104 0.124997i
\(321\) 7.99618 0.446303
\(322\) 0.777854 5.93647i 0.0433481 0.330826i
\(323\) 5.45072i 0.303286i
\(324\) −14.6319 25.3433i −0.812886 1.40796i
\(325\) −0.239647 16.3841i −0.0132932 0.908825i
\(326\) 14.0268 + 8.09839i 0.776874 + 0.448528i
\(327\) 6.56845 3.79230i 0.363236 0.209714i
\(328\) −9.52703 −0.526042
\(329\) 20.6695 26.9712i 1.13955 1.48697i
\(330\) 14.7136 19.5215i 0.809958 1.07462i
\(331\) 8.06779 + 13.9738i 0.443446 + 0.768071i 0.997942 0.0641153i \(-0.0204225\pi\)
−0.554497 + 0.832186i \(0.687089\pi\)
\(332\) −11.5160 6.64874i −0.632020 0.364897i
\(333\) 42.9623 + 24.8043i 2.35432 + 1.35927i
\(334\) 7.64229 4.41228i 0.418168 0.241429i
\(335\) −6.36368 + 11.2108i −0.347685 + 0.612509i
\(336\) −3.34230 8.05508i −0.182338 0.439441i
\(337\) −15.9039 −0.866342 −0.433171 0.901312i \(-0.642605\pi\)
−0.433171 + 0.901312i \(0.642605\pi\)
\(338\) −1.13009 1.95737i −0.0614687 0.106467i
\(339\) −0.708916 0.409293i −0.0385030 0.0222297i
\(340\) 1.61011 + 2.74228i 0.0873204 + 0.148721i
\(341\) −6.93969 16.6919i −0.375805 0.903919i
\(342\) −30.1447 −1.63004
\(343\) 17.1235 + 7.05596i 0.924581 + 0.380986i
\(344\) 3.88214 0.209311
\(345\) −16.6788 + 0.121973i −0.897957 + 0.00656678i
\(346\) −10.3263 5.96191i −0.555147 0.320514i
\(347\) −13.9148 + 24.1012i −0.746987 + 1.29382i 0.202273 + 0.979329i \(0.435167\pi\)
−0.949261 + 0.314491i \(0.898166\pi\)
\(348\) 5.89240 3.40198i 0.315866 0.182365i
\(349\) 9.99667 0.535109 0.267555 0.963543i \(-0.413784\pi\)
0.267555 + 0.963543i \(0.413784\pi\)
\(350\) 7.89231 10.6166i 0.421861 0.567479i
\(351\) 52.5535i 2.80510i
\(352\) −3.06249 + 1.27323i −0.163232 + 0.0678636i
\(353\) 5.11600 8.86118i 0.272297 0.471633i −0.697152 0.716923i \(-0.745550\pi\)
0.969450 + 0.245290i \(0.0788832\pi\)
\(354\) 32.6965 + 18.8774i 1.73780 + 1.00332i
\(355\) 0.147426 + 20.1594i 0.00782457 + 1.06995i
\(356\) 8.63338i 0.457568i
\(357\) 9.84421 + 7.54416i 0.521011 + 0.399279i
\(358\) 12.2765 0.648835
\(359\) 20.8168 12.0186i 1.09867 0.634317i 0.162798 0.986659i \(-0.447948\pi\)
0.935871 + 0.352343i \(0.114615\pi\)
\(360\) −15.1659 + 8.90454i −0.799313 + 0.469310i
\(361\) 2.15507 3.73269i 0.113425 0.196457i
\(362\) 1.40234 0.809642i 0.0737054 0.0425538i
\(363\) −35.0474 9.29247i −1.83951 0.487728i
\(364\) −1.12647 + 8.59708i −0.0590433 + 0.450610i
\(365\) 14.9329 26.3069i 0.781622 1.37697i
\(366\) 2.77841 + 4.81234i 0.145230 + 0.251545i
\(367\) −9.88761 + 17.1258i −0.516129 + 0.893961i 0.483696 + 0.875236i \(0.339294\pi\)
−0.999825 + 0.0187252i \(0.994039\pi\)
\(368\) 1.95978 + 1.13148i 0.102160 + 0.0589823i
\(369\) 37.4653 + 64.8918i 1.95037 + 3.37813i
\(370\) 6.96245 12.2656i 0.361961 0.637658i
\(371\) −2.09642 + 15.9996i −0.108841 + 0.830657i
\(372\) 17.9658i 0.931485i
\(373\) 14.1113 + 24.4416i 0.730658 + 1.26554i 0.956602 + 0.291396i \(0.0941199\pi\)
−0.225945 + 0.974140i \(0.572547\pi\)
\(374\) 2.86646 3.74580i 0.148221 0.193691i
\(375\) −32.3120 17.7219i −1.66859 0.915153i
\(376\) 6.42172 + 11.1227i 0.331175 + 0.573612i
\(377\) −6.76464 −0.348397
\(378\) −25.8079 + 33.6762i −1.32742 + 1.73212i
\(379\) −2.86639 −0.147237 −0.0736184 0.997286i \(-0.523455\pi\)
−0.0736184 + 0.997286i \(0.523455\pi\)
\(380\) 0.0626729 + 8.57003i 0.00321505 + 0.439633i
\(381\) −31.5914 + 54.7179i −1.61848 + 2.80328i
\(382\) −3.17504 + 5.49934i −0.162449 + 0.281371i
\(383\) 1.25922 + 2.18103i 0.0643431 + 0.111446i 0.896402 0.443241i \(-0.146171\pi\)
−0.832059 + 0.554687i \(0.812838\pi\)
\(384\) 3.29622 0.168209
\(385\) −18.9989 4.90313i −0.968275 0.249886i
\(386\) −4.66519 −0.237452
\(387\) −15.2666 26.4426i −0.776046 1.34415i
\(388\) 1.25920 2.18099i 0.0639260 0.110723i
\(389\) 15.7112 27.2125i 0.796587 1.37973i −0.125240 0.992127i \(-0.539970\pi\)
0.921827 0.387603i \(-0.126697\pi\)
\(390\) 24.1539 0.176638i 1.22308 0.00894444i
\(391\) −3.21826 −0.162754
\(392\) −4.94368 + 4.95580i −0.249694 + 0.250306i
\(393\) −56.5787 −2.85402
\(394\) 7.32866 + 12.6936i 0.369213 + 0.639495i
\(395\) 0.473910 + 0.807146i 0.0238450 + 0.0406119i
\(396\) 20.7158 + 15.8526i 1.04101 + 0.796625i
\(397\) 2.07433 + 3.59285i 0.104108 + 0.180320i 0.913373 0.407123i \(-0.133468\pi\)
−0.809266 + 0.587443i \(0.800135\pi\)
\(398\) 9.96920i 0.499711i
\(399\) 12.8102 + 30.8730i 0.641310 + 1.54558i
\(400\) 2.56306 + 4.29310i 0.128153 + 0.214655i
\(401\) 7.21306 + 12.4934i 0.360203 + 0.623890i 0.987994 0.154492i \(-0.0493741\pi\)
−0.627791 + 0.778382i \(0.716041\pi\)
\(402\) −16.4569 9.50138i −0.820794 0.473886i
\(403\) 8.93100 15.4689i 0.444885 0.770563i
\(404\) −5.22461 9.04930i −0.259934 0.450219i
\(405\) 56.9070 + 32.3027i 2.82773 + 1.60514i
\(406\) −4.33476 3.32197i −0.215131 0.164866i
\(407\) −20.7441 2.70334i −1.02825 0.134000i
\(408\) −4.05968 + 2.34386i −0.200984 + 0.116038i
\(409\) −6.79595 + 11.7709i −0.336038 + 0.582035i −0.983684 0.179907i \(-0.942420\pi\)
0.647645 + 0.761942i \(0.275754\pi\)
\(410\) 18.3706 10.7862i 0.907261 0.532691i
\(411\) −2.25230 + 1.30037i −0.111098 + 0.0641425i
\(412\) 3.98464 0.196309
\(413\) 3.93711 30.0475i 0.193733 1.47854i
\(414\) 17.7982i 0.874736i
\(415\) 29.7333 0.217440i 1.45955 0.0106737i
\(416\) −2.83811 1.63858i −0.139150 0.0803382i
\(417\) 3.23640 5.60560i 0.158487 0.274508i
\(418\) 11.7377 4.87997i 0.574111 0.238687i
\(419\) 28.0477i 1.37022i 0.728441 + 0.685109i \(0.240245\pi\)
−0.728441 + 0.685109i \(0.759755\pi\)
\(420\) 15.5645 + 11.7483i 0.759471 + 0.573258i
\(421\) −5.76758 −0.281095 −0.140547 0.990074i \(-0.544886\pi\)
−0.140547 + 0.990074i \(0.544886\pi\)
\(422\) −21.7335 + 12.5478i −1.05797 + 0.610819i
\(423\) 50.5071 87.4809i 2.45574 4.25347i
\(424\) −5.28186 3.04948i −0.256510 0.148096i
\(425\) −6.20943 3.46493i −0.301202 0.168074i
\(426\) −29.7180 −1.43984
\(427\) 2.71306 3.54021i 0.131294 0.171323i
\(428\) 2.42587 0.117259
\(429\) −13.7538 33.0819i −0.664040 1.59721i
\(430\) −7.48579 + 4.39523i −0.360997 + 0.211957i
\(431\) 9.52461 + 5.49904i 0.458784 + 0.264879i 0.711533 0.702653i \(-0.248001\pi\)
−0.252749 + 0.967532i \(0.581335\pi\)
\(432\) −8.01813 13.8878i −0.385773 0.668178i
\(433\) −30.3763 −1.45979 −0.729896 0.683558i \(-0.760432\pi\)
−0.729896 + 0.683558i \(0.760432\pi\)
\(434\) 13.3194 5.52664i 0.639353 0.265287i
\(435\) −7.51050 + 13.2311i −0.360101 + 0.634382i
\(436\) 1.99272 1.15050i 0.0954341 0.0550989i
\(437\) −7.51130 4.33665i −0.359314 0.207450i
\(438\) 38.6174 + 22.2957i 1.84521 + 1.06533i
\(439\) −19.8468 34.3757i −0.947237 1.64066i −0.751209 0.660065i \(-0.770529\pi\)
−0.196028 0.980598i \(-0.562804\pi\)
\(440\) 4.46379 5.92238i 0.212803 0.282339i
\(441\) 53.1968 + 14.1843i 2.53318 + 0.675441i
\(442\) 4.66062 0.221683
\(443\) −17.3710 + 10.0291i −0.825319 + 0.476498i −0.852247 0.523139i \(-0.824761\pi\)
0.0269281 + 0.999637i \(0.491427\pi\)
\(444\) 18.0053 + 10.3954i 0.854496 + 0.493343i
\(445\) 9.77441 + 16.6474i 0.463351 + 0.789164i
\(446\) −0.0679151 0.117632i −0.00321587 0.00557006i
\(447\) 28.6860i 1.35680i
\(448\) −1.01398 2.44374i −0.0479061 0.115456i
\(449\) −27.1775 −1.28259 −0.641294 0.767295i \(-0.721602\pi\)
−0.641294 + 0.767295i \(0.721602\pi\)
\(450\) 19.1624 34.3406i 0.903326 1.61883i
\(451\) −25.0933 19.2025i −1.18160 0.904210i
\(452\) −0.215069 0.124170i −0.0101160 0.00584049i
\(453\) −32.0827 + 18.5229i −1.50737 + 0.870283i
\(454\) 22.5033i 1.05613i
\(455\) −7.56118 17.8528i −0.354474 0.836952i
\(456\) −12.6335 −0.591619
\(457\) −10.0541 17.4142i −0.470311 0.814602i 0.529113 0.848551i \(-0.322525\pi\)
−0.999424 + 0.0339496i \(0.989191\pi\)
\(458\) −20.1082 11.6095i −0.939593 0.542475i
\(459\) 19.7506 + 11.4030i 0.921877 + 0.532246i
\(460\) −5.05998 + 0.0370038i −0.235923 + 0.00172531i
\(461\) 5.09054 0.237090 0.118545 0.992949i \(-0.462177\pi\)
0.118545 + 0.992949i \(0.462177\pi\)
\(462\) 7.43238 27.9530i 0.345785 1.30049i
\(463\) 35.8000i 1.66377i −0.554952 0.831883i \(-0.687263\pi\)
0.554952 0.831883i \(-0.312737\pi\)
\(464\) 1.78763 1.03209i 0.0829884 0.0479134i
\(465\) −20.3403 34.6429i −0.943259 1.60652i
\(466\) −9.44733 + 16.3632i −0.437639 + 0.758013i
\(467\) −10.5234 18.2270i −0.486964 0.843446i 0.512924 0.858434i \(-0.328562\pi\)
−0.999888 + 0.0149884i \(0.995229\pi\)
\(468\) 25.7751i 1.19145i
\(469\) −1.98163 + 15.1235i −0.0915034 + 0.698340i
\(470\) −24.9756 14.1771i −1.15204 0.653943i
\(471\) 14.3147 + 24.7937i 0.659585 + 1.14243i
\(472\) 9.91941 + 5.72697i 0.456578 + 0.263605i
\(473\) 10.2252 + 7.82477i 0.470154 + 0.359783i
\(474\) −1.19490 + 0.689877i −0.0548837 + 0.0316871i
\(475\) −9.82354 16.4543i −0.450735 0.754976i
\(476\) 2.98652 + 2.28873i 0.136887 + 0.104904i
\(477\) 47.9687i 2.19633i
\(478\) 2.76287 1.59514i 0.126371 0.0729602i
\(479\) 11.5275 19.9663i 0.526706 0.912282i −0.472809 0.881165i \(-0.656760\pi\)
0.999516 0.0311174i \(-0.00990657\pi\)
\(480\) −6.35598 + 3.73186i −0.290109 + 0.170335i
\(481\) −10.3353 17.9013i −0.471250 0.816228i
\(482\) −22.5235 −1.02592
\(483\) −18.2283 + 7.56348i −0.829415 + 0.344150i
\(484\) −10.6326 2.81913i −0.483301 0.128142i
\(485\) 0.0411807 + 5.63114i 0.00186992 + 0.255697i
\(486\) −24.1757 + 41.8735i −1.09663 + 1.89942i
\(487\) 30.8917 + 17.8354i 1.39984 + 0.808197i 0.994375 0.105914i \(-0.0337769\pi\)
0.405463 + 0.914111i \(0.367110\pi\)
\(488\) 0.842907 + 1.45996i 0.0381566 + 0.0660892i
\(489\) 53.3881i 2.41429i
\(490\) 3.92194 15.1532i 0.177175 0.684550i
\(491\) 12.1060i 0.546335i −0.961966 0.273167i \(-0.911929\pi\)
0.961966 0.273167i \(-0.0880713\pi\)
\(492\) 15.7016 + 27.1959i 0.707882 + 1.22609i
\(493\) −1.46778 + 2.54227i −0.0661055 + 0.114498i
\(494\) 10.8777 + 6.28026i 0.489412 + 0.282562i
\(495\) −57.8933 7.11441i −2.60211 0.319769i
\(496\) 5.45044i 0.244732i
\(497\) 9.14184 + 22.0322i 0.410068 + 0.988280i
\(498\) 43.8314i 1.96413i
\(499\) −7.49926 12.9891i −0.335713 0.581472i 0.647909 0.761718i \(-0.275644\pi\)
−0.983622 + 0.180246i \(0.942311\pi\)
\(500\) −9.80276 5.37642i −0.438393 0.240441i
\(501\) −25.1907 14.5438i −1.12544 0.649771i
\(502\) −4.07111 + 2.35046i −0.181703 + 0.104906i
\(503\) 23.5751i 1.05116i 0.850743 + 0.525582i \(0.176152\pi\)
−0.850743 + 0.525582i \(0.823848\pi\)
\(504\) −12.6576 + 16.5166i −0.563814 + 0.735709i
\(505\) 20.3197 + 11.5343i 0.904216 + 0.513270i
\(506\) 2.88127 + 6.93028i 0.128088 + 0.308089i
\(507\) −3.72502 + 6.45192i −0.165434 + 0.286540i
\(508\) −9.58414 + 16.6002i −0.425227 + 0.736516i
\(509\) −8.41745 + 4.85982i −0.373097 + 0.215408i −0.674811 0.737991i \(-0.735775\pi\)
0.301714 + 0.953399i \(0.402441\pi\)
\(510\) 5.17450 9.11580i 0.229131 0.403655i
\(511\) 4.65006 35.4886i 0.205707 1.56992i
\(512\) 1.00000 0.0441942
\(513\) 30.7314 + 53.2283i 1.35682 + 2.35009i
\(514\) 3.08013 5.33494i 0.135859 0.235314i
\(515\) −7.68344 + 4.51127i −0.338573 + 0.198790i
\(516\) −6.39819 11.0820i −0.281665 0.487858i
\(517\) −5.50461 + 42.2397i −0.242093 + 1.85770i
\(518\) 2.16809 16.5466i 0.0952605 0.727014i
\(519\) 39.3035i 1.72523i
\(520\) 7.32777 0.0535882i 0.321344 0.00235000i
\(521\) 14.7001 + 8.48713i 0.644025 + 0.371828i 0.786163 0.618019i \(-0.212064\pi\)
−0.142138 + 0.989847i \(0.545398\pi\)
\(522\) −14.0598 8.11741i −0.615379 0.355289i
\(523\) −26.4328 + 15.2610i −1.15583 + 0.667317i −0.950301 0.311334i \(-0.899224\pi\)
−0.205527 + 0.978651i \(0.565891\pi\)
\(524\) −17.1647 −0.749845
\(525\) −43.3135 5.03218i −1.89036 0.219622i
\(526\) 1.57730 0.0687734
\(527\) −3.87567 6.71286i −0.168827 0.292417i
\(528\) 8.68191 + 6.64379i 0.377832 + 0.289134i
\(529\) −8.93952 + 15.4837i −0.388675 + 0.673205i
\(530\) 13.6373 0.0997302i 0.592368 0.00433200i
\(531\) 90.0859i 3.90939i
\(532\) 3.88632 + 9.36619i 0.168493 + 0.406076i
\(533\) 31.2217i 1.35236i
\(534\) −24.6449 + 14.2287i −1.06649 + 0.615738i
\(535\) −4.67771 + 2.74648i −0.202235 + 0.118741i
\(536\) −4.99265 2.88251i −0.215650 0.124505i
\(537\) −20.2331 35.0447i −0.873122 1.51229i
\(538\) 17.9725i 0.774847i
\(539\) −23.0100 + 3.08870i −0.991111 + 0.133040i
\(540\) 31.1844 + 17.7015i 1.34196 + 0.761752i
\(541\) 31.7000 18.3020i 1.36289 0.786864i 0.372881 0.927879i \(-0.378370\pi\)
0.990007 + 0.141016i \(0.0450368\pi\)
\(542\) −14.1633 + 24.5316i −0.608366 + 1.05372i
\(543\) −4.62242 2.66876i −0.198367 0.114527i
\(544\) −1.23162 + 0.711075i −0.0528052 + 0.0304871i
\(545\) −2.53994 + 4.47456i −0.108799 + 0.191669i
\(546\) 26.3979 10.9533i 1.12972 0.468757i
\(547\) 20.1720 0.862493 0.431247 0.902234i \(-0.358074\pi\)
0.431247 + 0.902234i \(0.358074\pi\)
\(548\) −0.683300 + 0.394503i −0.0291891 + 0.0168523i
\(549\) 6.62951 11.4826i 0.282941 0.490067i
\(550\) −1.90224 + 16.4737i −0.0811118 + 0.702439i
\(551\) −6.85150 + 3.95571i −0.291884 + 0.168519i
\(552\) 7.45919i 0.317484i
\(553\) 0.879033 + 0.673651i 0.0373803 + 0.0286466i
\(554\) −4.12092 −0.175081
\(555\) −46.4884 + 0.339971i −1.97332 + 0.0144310i
\(556\) 0.981852 1.70062i 0.0416398 0.0721222i
\(557\) 0.419322 0.726287i 0.0177672 0.0307738i −0.857005 0.515308i \(-0.827678\pi\)
0.874772 + 0.484534i \(0.161011\pi\)
\(558\) 37.1248 21.4340i 1.57162 0.907373i
\(559\) 12.7224i 0.538101i
\(560\) 4.72194 + 3.56417i 0.199538 + 0.150614i
\(561\) −15.4170 2.00912i −0.650907 0.0848253i
\(562\) 24.0438 13.8817i 1.01423 0.585563i
\(563\) 10.1026 + 5.83272i 0.425773 + 0.245820i 0.697544 0.716542i \(-0.254276\pi\)
−0.271771 + 0.962362i \(0.587609\pi\)
\(564\) 21.1674 36.6630i 0.891308 1.54379i
\(565\) 0.555292 0.00406087i 0.0233613 0.000170842i
\(566\) 11.7633i 0.494447i
\(567\) 76.7687 + 10.0590i 3.22398 + 0.422438i
\(568\) −9.01579 −0.378294
\(569\) 3.92946 2.26868i 0.164732 0.0951079i −0.415368 0.909654i \(-0.636347\pi\)
0.580099 + 0.814546i \(0.303014\pi\)
\(570\) 24.3608 14.3032i 1.02036 0.599097i
\(571\) 4.88332 + 2.81939i 0.204361 + 0.117988i 0.598688 0.800982i \(-0.295689\pi\)
−0.394327 + 0.918970i \(0.629022\pi\)
\(572\) −4.17260 10.0363i −0.174465 0.419639i
\(573\) 20.9313 0.874417
\(574\) 15.3323 20.0068i 0.639957 0.835067i
\(575\) 9.71509 5.80009i 0.405147 0.241880i
\(576\) −3.93253 6.81133i −0.163855 0.283806i
\(577\) −17.4605 + 30.2424i −0.726889 + 1.25901i 0.231302 + 0.972882i \(0.425701\pi\)
−0.958192 + 0.286127i \(0.907632\pi\)
\(578\) −7.48875 + 12.9709i −0.311491 + 0.539518i
\(579\) 7.68874 + 13.3173i 0.319533 + 0.553448i
\(580\) −2.27852 + 4.01402i −0.0946105 + 0.166673i
\(581\) 32.4955 13.4834i 1.34814 0.559385i
\(582\) −8.30117 −0.344094
\(583\) −7.76541 18.6780i −0.321610 0.773565i
\(584\) 11.7157 + 6.76404i 0.484797 + 0.279898i
\(585\) −29.1817 49.7012i −1.20651 2.05489i
\(586\) −23.7227 + 13.6963i −0.979976 + 0.565790i
\(587\) −32.8201 −1.35463 −0.677315 0.735693i \(-0.736856\pi\)
−0.677315 + 0.735693i \(0.736856\pi\)
\(588\) 22.2946 + 5.94458i 0.919414 + 0.245150i
\(589\) 20.8901i 0.860761i
\(590\) −25.6111 + 0.187295i −1.05439 + 0.00771081i
\(591\) 24.1569 41.8409i 0.993681 1.72111i
\(592\) 5.46243 + 3.15373i 0.224504 + 0.129618i
\(593\) −4.65629 + 2.68831i −0.191211 + 0.110396i −0.592549 0.805534i \(-0.701878\pi\)
0.401338 + 0.915930i \(0.368545\pi\)
\(594\) 6.87304 52.7403i 0.282004 2.16396i
\(595\) −8.35001 1.03205i −0.342317 0.0423098i
\(596\) 8.70271i 0.356477i
\(597\) 28.4582 16.4303i 1.16472 0.672449i
\(598\) −3.70804 + 6.42251i −0.151633 + 0.262636i
\(599\) −6.09118 + 10.5502i −0.248879 + 0.431071i −0.963215 0.268732i \(-0.913395\pi\)
0.714336 + 0.699803i \(0.246729\pi\)
\(600\) 8.03092 14.3920i 0.327861 0.587552i
\(601\) −9.86957 −0.402588 −0.201294 0.979531i \(-0.564515\pi\)
−0.201294 + 0.979531i \(0.564515\pi\)
\(602\) −6.24771 + 8.15250i −0.254638 + 0.332271i
\(603\) 45.3422i 1.84648i
\(604\) −9.73317 + 5.61945i −0.396037 + 0.228652i
\(605\) 23.6942 6.60185i 0.963307 0.268403i
\(606\) −17.2215 + 29.8285i −0.699574 + 1.21170i
\(607\) −33.1257 + 19.1251i −1.34453 + 0.776265i −0.987469 0.157815i \(-0.949555\pi\)
−0.357063 + 0.934080i \(0.616222\pi\)
\(608\) −3.83274 −0.155438
\(609\) −2.33875 + 17.8490i −0.0947711 + 0.723279i
\(610\) −3.27826 1.86087i −0.132733 0.0753446i
\(611\) −36.4511 + 21.0450i −1.47465 + 0.851391i
\(612\) 9.68674 + 5.59264i 0.391563 + 0.226069i
\(613\) 7.38461 12.7905i 0.298261 0.516604i −0.677477 0.735544i \(-0.736927\pi\)
0.975738 + 0.218940i \(0.0702599\pi\)
\(614\) 24.9068 14.3799i 1.00515 0.580326i
\(615\) −61.0671 34.6642i −2.46246 1.39779i
\(616\) 2.25482 8.48032i 0.0908493 0.341682i
\(617\) 15.8413i 0.637749i −0.947797 0.318874i \(-0.896695\pi\)
0.947797 0.318874i \(-0.103305\pi\)
\(618\) −6.56712 11.3746i −0.264168 0.457553i
\(619\) 15.0638 + 8.69709i 0.605466 + 0.349566i 0.771189 0.636607i \(-0.219662\pi\)
−0.165723 + 0.986172i \(0.552996\pi\)
\(620\) −6.17080 10.5099i −0.247825 0.422087i
\(621\) −31.4275 + 18.1447i −1.26114 + 0.728120i
\(622\) 26.0828i 1.04583i
\(623\) 18.1301 + 13.8941i 0.726367 + 0.556655i
\(624\) 10.8023i 0.432436i
\(625\) 24.9893 0.731186i 0.999572 0.0292474i
\(626\) −3.06134 + 5.30240i −0.122356 + 0.211926i
\(627\) −33.2755 25.4639i −1.32889 1.01693i
\(628\) 4.34275 + 7.52187i 0.173295 + 0.300155i
\(629\) −8.97016 −0.357664
\(630\) 5.70764 46.1789i 0.227398 1.83981i
\(631\) −11.8810 −0.472977 −0.236488 0.971634i \(-0.575996\pi\)
−0.236488 + 0.971634i \(0.575996\pi\)
\(632\) −0.362507 + 0.209294i −0.0144198 + 0.00832525i
\(633\) 71.6383 + 41.3604i 2.84737 + 1.64393i
\(634\) −18.0043 10.3948i −0.715041 0.412829i
\(635\) −0.313440 42.8604i −0.0124385 1.70086i
\(636\) 20.1035i 0.797156i
\(637\) −16.2410 16.2013i −0.643492 0.641918i
\(638\) 6.78868 + 0.884691i 0.268766 + 0.0350253i
\(639\) 35.4548 + 61.4096i 1.40257 + 2.42933i
\(640\) −1.92826 + 1.13217i −0.0762213 + 0.0447528i
\(641\) −12.7773 + 22.1310i −0.504674 + 0.874122i 0.495311 + 0.868716i \(0.335054\pi\)
−0.999985 + 0.00540601i \(0.998279\pi\)
\(642\) −3.99809 6.92490i −0.157792 0.273304i
\(643\) 8.81233 0.347524 0.173762 0.984788i \(-0.444408\pi\)
0.173762 + 0.984788i \(0.444408\pi\)
\(644\) −5.53006 + 2.29459i −0.217915 + 0.0904196i
\(645\) 24.8841 + 14.1252i 0.979809 + 0.556179i
\(646\) 4.72046 2.72536i 0.185724 0.107228i
\(647\) −9.41249 + 16.3029i −0.370043 + 0.640933i −0.989572 0.144041i \(-0.953990\pi\)
0.619529 + 0.784974i \(0.287324\pi\)
\(648\) −14.6319 + 25.3433i −0.574797 + 0.995577i
\(649\) 14.5836 + 35.0776i 0.572455 + 1.37692i
\(650\) −14.0692 + 8.39958i −0.551840 + 0.329459i
\(651\) −37.7283 28.9132i −1.47869 1.13320i
\(652\) 16.1968i 0.634315i
\(653\) 5.00294 2.88845i 0.195780 0.113034i −0.398905 0.916992i \(-0.630610\pi\)
0.594686 + 0.803958i \(0.297276\pi\)
\(654\) −6.56845 3.79230i −0.256847 0.148290i
\(655\) 33.0982 19.4333i 1.29325 0.759323i
\(656\) 4.76352 + 8.25065i 0.185984 + 0.322134i
\(657\) 106.399i 4.15102i
\(658\) −33.6925 4.41473i −1.31347 0.172104i
\(659\) 15.7828i 0.614812i 0.951578 + 0.307406i \(0.0994610\pi\)
−0.951578 + 0.307406i \(0.900539\pi\)
\(660\) −24.2629 2.98163i −0.944432 0.116060i
\(661\) −11.7074 6.75925i −0.455364 0.262904i 0.254729 0.967012i \(-0.418014\pi\)
−0.710093 + 0.704108i \(0.751347\pi\)
\(662\) 8.06779 13.9738i 0.313564 0.543108i
\(663\) −7.68121 13.3042i −0.298314 0.516694i
\(664\) 13.2975i 0.516042i
\(665\) −18.0979 13.6605i −0.701808 0.529733i
\(666\) 49.6086i 1.92229i
\(667\) −2.33556 4.04531i −0.0904334 0.156635i
\(668\) −7.64229 4.41228i −0.295689 0.170716i
\(669\) −0.223863 + 0.387742i −0.00865504 + 0.0149910i
\(670\) 12.8906 0.0942696i 0.498009 0.00364195i
\(671\) −0.722529 + 5.54433i −0.0278929 + 0.214037i
\(672\) −5.30476 + 6.92206i −0.204635 + 0.267024i
\(673\) −3.78286 −0.145819 −0.0729093 0.997339i \(-0.523228\pi\)
−0.0729093 + 0.997339i \(0.523228\pi\)
\(674\) 7.95196 + 13.7732i 0.306298 + 0.530524i
\(675\) −80.1728 + 1.17267i −3.08585 + 0.0451363i
\(676\) −1.13009 + 1.95737i −0.0434649 + 0.0752835i
\(677\) −33.0791 + 19.0982i −1.27133 + 0.734005i −0.975239 0.221154i \(-0.929018\pi\)
−0.296095 + 0.955159i \(0.595684\pi\)
\(678\) 0.818585i 0.0314376i
\(679\) 2.55360 + 6.15428i 0.0979982 + 0.236180i
\(680\) 1.56983 2.76553i 0.0602002 0.106053i
\(681\) 64.2381 37.0879i 2.46161 1.42121i
\(682\) −10.9858 + 14.3559i −0.420668 + 0.549717i
\(683\) 13.6537 + 7.88296i 0.522444 + 0.301633i 0.737934 0.674873i \(-0.235802\pi\)
−0.215490 + 0.976506i \(0.569135\pi\)
\(684\) 15.0723 + 26.1060i 0.576305 + 0.998189i
\(685\) 0.870939 1.53431i 0.0332769 0.0586232i
\(686\) −2.45109 18.3573i −0.0935831 0.700887i
\(687\) 76.5346i 2.91998i
\(688\) −1.94107 3.36203i −0.0740026 0.128176i
\(689\) 9.99366 17.3095i 0.380728 0.659440i
\(690\) 8.44503 + 14.3833i 0.321497 + 0.547562i
\(691\) 28.1951 16.2785i 1.07259 0.619262i 0.143704 0.989621i \(-0.454099\pi\)
0.928889 + 0.370359i \(0.120765\pi\)
\(692\) 11.9238i 0.453275i
\(693\) −66.6294 + 17.9907i −2.53104 + 0.683412i
\(694\) 27.8297 1.05640
\(695\) 0.0321105 + 4.39086i 0.00121802 + 0.166555i
\(696\) −5.89240 3.40198i −0.223351 0.128952i
\(697\) −11.7337 6.77443i −0.444444 0.256600i
\(698\) −4.99833 8.65737i −0.189190 0.327686i
\(699\) 62.2809 2.35568
\(700\) −13.1404 1.52665i −0.496659 0.0577020i
\(701\) 21.2469i 0.802485i 0.915972 + 0.401243i \(0.131422\pi\)
−0.915972 + 0.401243i \(0.868578\pi\)
\(702\) 45.5127 26.2768i 1.71777 0.991753i
\(703\) −20.9360 12.0874i −0.789617 0.455886i
\(704\) 2.63390 + 2.01558i 0.0992689 + 0.0759651i
\(705\) 0.692258 + 94.6609i 0.0260719 + 3.56514i
\(706\) −10.2320 −0.385087
\(707\) 27.4117 + 3.59176i 1.03092 + 0.135082i
\(708\) 37.7547i 1.41891i
\(709\) −8.29779 14.3722i −0.311630 0.539759i 0.667085 0.744981i \(-0.267542\pi\)
−0.978715 + 0.205222i \(0.934208\pi\)
\(710\) 17.3848 10.2074i 0.652441 0.383076i
\(711\) 2.85114 + 1.64610i 0.106926 + 0.0617337i
\(712\) −7.47672 + 4.31669i −0.280202 + 0.161775i
\(713\) 12.3341 0.461915
\(714\) 1.61133 12.2974i 0.0603024 0.460219i
\(715\) 19.4086 + 14.6286i 0.725842 + 0.547078i
\(716\) −6.13827 10.6318i −0.229398 0.397329i
\(717\) −9.10702 5.25794i −0.340108 0.196361i
\(718\) −20.8168 12.0186i −0.776876 0.448530i
\(719\) 3.65839 2.11217i 0.136435 0.0787708i −0.430229 0.902720i \(-0.641567\pi\)
0.566664 + 0.823949i \(0.308234\pi\)
\(720\) 15.2945 + 8.68178i 0.569993 + 0.323551i
\(721\) −6.41267 + 8.36775i −0.238820 + 0.311631i
\(722\) −4.31014 −0.160407
\(723\) 37.1212 + 64.2958i 1.38055 + 2.39119i
\(724\) −1.40234 0.809642i −0.0521176 0.0300901i
\(725\) −0.150945 10.3198i −0.00560597 0.383266i
\(726\) 9.47619 + 34.9982i 0.351695 + 1.29890i
\(727\) 3.41464 0.126642 0.0633211 0.997993i \(-0.479831\pi\)
0.0633211 + 0.997993i \(0.479831\pi\)
\(728\) 8.00853 3.32299i 0.296816 0.123158i
\(729\) 71.5848 2.65129
\(730\) −30.2489 + 0.221211i −1.11956 + 0.00818739i
\(731\) 4.78131 + 2.76049i 0.176843 + 0.102101i
\(732\) 2.77841 4.81234i 0.102693 0.177869i
\(733\) 9.81646 5.66754i 0.362579 0.209335i −0.307632 0.951505i \(-0.599537\pi\)
0.670212 + 0.742170i \(0.266203\pi\)
\(734\) 19.7752 0.729916
\(735\) −49.7201 + 13.7785i −1.83395 + 0.508226i
\(736\) 2.26295i 0.0834136i
\(737\) −7.34023 17.6553i −0.270381 0.650343i
\(738\) 37.4653 64.8918i 1.37912 2.38870i
\(739\) 3.88297 + 2.24184i 0.142837 + 0.0824673i 0.569716 0.821842i \(-0.307053\pi\)
−0.426878 + 0.904309i \(0.640387\pi\)
\(740\) −14.1035 + 0.103140i −0.518457 + 0.00379149i
\(741\) 41.4022i 1.52095i
\(742\) 14.9042 6.18423i 0.547152 0.227030i
\(743\) −7.70671 −0.282732 −0.141366 0.989957i \(-0.545149\pi\)
−0.141366 + 0.989957i \(0.545149\pi\)
\(744\) 15.5589 8.98292i 0.570416 0.329330i
\(745\) 9.85290 + 16.7811i 0.360982 + 0.614813i
\(746\) 14.1113 24.4416i 0.516653 0.894869i
\(747\) 90.5736 52.2927i 3.31391 1.91329i
\(748\) −4.67719 0.609524i −0.171015 0.0222864i
\(749\) −3.90406 + 5.09432i −0.142651 + 0.186142i
\(750\) 0.808439 + 36.8440i 0.0295200 + 1.34535i
\(751\) 5.06956 + 8.78074i 0.184991 + 0.320414i 0.943573 0.331163i \(-0.107441\pi\)
−0.758583 + 0.651577i \(0.774108\pi\)
\(752\) 6.42172 11.1227i 0.234176 0.405605i
\(753\) 13.4193 + 7.74762i 0.489026 + 0.282339i
\(754\) 3.38232 + 5.85835i 0.123177 + 0.213348i
\(755\) 12.4060 21.8553i 0.451500 0.795397i
\(756\) 42.0684 + 5.51221i 1.53001 + 0.200477i
\(757\) 35.0178i 1.27274i −0.771382 0.636372i \(-0.780434\pi\)
0.771382 0.636372i \(-0.219566\pi\)
\(758\) 1.43320 + 2.48237i 0.0520561 + 0.0901637i
\(759\) 15.0346 19.6468i 0.545721 0.713132i
\(760\) 7.39053 4.33929i 0.268083 0.157403i
\(761\) 8.42092 + 14.5855i 0.305258 + 0.528722i 0.977319 0.211774i \(-0.0679240\pi\)
−0.672061 + 0.740496i \(0.734591\pi\)
\(762\) 63.1828 2.28887
\(763\) −0.790932 + 6.03627i −0.0286337 + 0.218528i
\(764\) 6.35009 0.229738
\(765\) −25.0104 + 0.182902i −0.904252 + 0.00661282i
\(766\) 1.25922 2.18103i 0.0454975 0.0788039i
\(767\) −18.7682 + 32.5076i −0.677682 + 1.17378i
\(768\) −1.64811 2.85461i −0.0594710 0.103007i
\(769\) 1.64550 0.0593383 0.0296692 0.999560i \(-0.490555\pi\)
0.0296692 + 0.999560i \(0.490555\pi\)
\(770\) 5.25323 + 18.9051i 0.189313 + 0.681293i
\(771\) −20.3056 −0.731287
\(772\) 2.33260 + 4.04017i 0.0839520 + 0.145409i
\(773\) 0.00852631 0.0147680i 0.000306670 0.000531168i −0.865872 0.500266i \(-0.833236\pi\)
0.866179 + 0.499734i \(0.166569\pi\)
\(774\) −15.2666 + 26.4426i −0.548747 + 0.950458i