Properties

Label 190.2.k.d.61.1
Level $190$
Weight $2$
Character 190.61
Analytic conductor $1.517$
Analytic rank $0$
Dimension $18$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 190 = 2 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 190.k (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.51715763840\)
Analytic rank: \(0\)
Dimension: \(18\)
Relative dimension: \(3\) over \(\Q(\zeta_{9})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{18} + \cdots)\)
Defining polynomial: \(x^{18} + 24 x^{16} - 12 x^{15} + 393 x^{14} - 222 x^{13} + 3518 x^{12} - 2478 x^{11} + 22809 x^{10} - 12862 x^{9} + 77397 x^{8} - 24822 x^{7} + 178501 x^{6} - 39408 x^{5} + 132588 x^{4} + 45584 x^{3} + 50640 x^{2} + 1824 x + 64\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 61.1
Root \(1.60792 + 2.78500i\) of defining polynomial
Character \(\chi\) \(=\) 190.61
Dual form 190.2.k.d.81.1

$q$-expansion

\(f(q)\) \(=\) \(q+(0.939693 + 0.342020i) q^{2} +(-0.558424 - 3.16698i) q^{3} +(0.766044 + 0.642788i) q^{4} +(0.766044 - 0.642788i) q^{5} +(0.558424 - 3.16698i) q^{6} +(0.0116976 - 0.0202608i) q^{7} +(0.500000 + 0.866025i) q^{8} +(-6.89886 + 2.51098i) q^{9} +O(q^{10})\) \(q+(0.939693 + 0.342020i) q^{2} +(-0.558424 - 3.16698i) q^{3} +(0.766044 + 0.642788i) q^{4} +(0.766044 - 0.642788i) q^{5} +(0.558424 - 3.16698i) q^{6} +(0.0116976 - 0.0202608i) q^{7} +(0.500000 + 0.866025i) q^{8} +(-6.89886 + 2.51098i) q^{9} +(0.939693 - 0.342020i) q^{10} +(-1.08041 - 1.87132i) q^{11} +(1.60792 - 2.78500i) q^{12} +(-0.276152 + 1.56613i) q^{13} +(0.0179217 - 0.0150381i) q^{14} +(-2.46347 - 2.06710i) q^{15} +(0.173648 + 0.984808i) q^{16} +(7.49847 + 2.72922i) q^{17} -7.34161 q^{18} +(1.06458 - 4.22690i) q^{19} +1.00000 q^{20} +(-0.0706976 - 0.0257318i) q^{21} +(-0.375222 - 2.12799i) q^{22} +(3.43239 + 2.88011i) q^{23} +(2.46347 - 2.06710i) q^{24} +(0.173648 - 0.984808i) q^{25} +(-0.795147 + 1.37724i) q^{26} +(6.98095 + 12.0914i) q^{27} +(0.0219842 - 0.00800160i) q^{28} +(-7.09702 + 2.58310i) q^{29} +(-1.60792 - 2.78500i) q^{30} +(-2.22993 + 3.86236i) q^{31} +(-0.173648 + 0.984808i) q^{32} +(-5.32312 + 4.46663i) q^{33} +(6.11281 + 5.12925i) q^{34} +(-0.00406252 - 0.0230397i) q^{35} +(-6.89886 - 2.51098i) q^{36} -0.389132 q^{37} +(2.44606 - 3.60788i) q^{38} +5.11413 q^{39} +(0.939693 + 0.342020i) q^{40} +(0.972920 + 5.51771i) q^{41} +(-0.0576332 - 0.0483600i) q^{42} +(7.43337 - 6.23734i) q^{43} +(0.375222 - 2.12799i) q^{44} +(-3.67080 + 6.35802i) q^{45} +(2.24033 + 3.88037i) q^{46} +(-4.01711 + 1.46211i) q^{47} +(3.02190 - 1.09988i) q^{48} +(3.49973 + 6.06170i) q^{49} +(0.500000 - 0.866025i) q^{50} +(4.45606 - 25.2716i) q^{51} +(-1.21824 + 1.02222i) q^{52} +(-2.89731 - 2.43113i) q^{53} +(2.42446 + 13.7498i) q^{54} +(-2.03050 - 0.739043i) q^{55} +0.0233951 q^{56} +(-13.9810 - 1.01111i) q^{57} -7.55249 q^{58} +(3.41426 + 1.24269i) q^{59} +(-0.558424 - 3.16698i) q^{60} +(-8.84152 - 7.41891i) q^{61} +(-3.41646 + 2.86675i) q^{62} +(-0.0298254 + 0.169148i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(0.795147 + 1.37724i) q^{65} +(-6.52977 + 2.37664i) q^{66} +(-3.62429 + 1.31913i) q^{67} +(3.98985 + 6.91062i) q^{68} +(7.20454 - 12.4786i) q^{69} +(0.00406252 - 0.0230397i) q^{70} +(-9.85813 + 8.27195i) q^{71} +(-5.62400 - 4.71909i) q^{72} +(-0.330206 - 1.87269i) q^{73} +(-0.365664 - 0.133091i) q^{74} -3.21584 q^{75} +(3.53251 - 2.55369i) q^{76} -0.0505526 q^{77} +(4.80571 + 1.74914i) q^{78} +(-1.65165 - 9.36698i) q^{79} +(0.766044 + 0.642788i) q^{80} +(17.5228 - 14.7034i) q^{81} +(-0.972920 + 5.51771i) q^{82} +(1.31417 - 2.27622i) q^{83} +(-0.0376174 - 0.0651553i) q^{84} +(7.49847 - 2.72922i) q^{85} +(9.11838 - 3.31882i) q^{86} +(12.1438 + 21.0337i) q^{87} +(1.08041 - 1.87132i) q^{88} +(1.54115 - 8.74032i) q^{89} +(-5.62400 + 4.71909i) q^{90} +(0.0285008 + 0.0239150i) q^{91} +(0.778059 + 4.41259i) q^{92} +(13.4773 + 4.90532i) q^{93} -4.27492 q^{94} +(-1.90148 - 3.92229i) q^{95} +3.21584 q^{96} +(-10.4812 - 3.81486i) q^{97} +(1.21544 + 6.89312i) q^{98} +(12.1524 + 10.1971i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 18q + 9q^{8} - 18q^{9} + O(q^{10}) \) \( 18q + 9q^{8} - 18q^{9} - 12q^{11} - 6q^{13} + 6q^{14} - 42q^{18} + 18q^{20} + 12q^{21} - 3q^{22} + 9q^{23} - 9q^{26} - 18q^{27} + 3q^{28} - 6q^{29} - 6q^{31} + 66q^{33} + 18q^{34} + 3q^{35} - 18q^{36} - 12q^{37} - 6q^{38} + 48q^{39} - 21q^{41} + 42q^{42} + 18q^{43} + 3q^{44} - 21q^{45} + 18q^{46} - 54q^{47} - 39q^{49} + 9q^{50} + 42q^{51} + 12q^{52} - 24q^{53} - 54q^{54} - 6q^{55} - 18q^{57} - 30q^{59} + 48q^{61} - 30q^{62} - 57q^{63} - 9q^{64} + 9q^{65} + 24q^{66} - 6q^{67} - 6q^{68} - 30q^{69} - 3q^{70} + 30q^{71} + 6q^{73} - 3q^{74} - 21q^{76} + 30q^{77} - 24q^{78} + 30q^{79} + 18q^{81} + 21q^{82} + 6q^{83} + 6q^{84} + 36q^{86} + 24q^{87} + 12q^{88} + 30q^{89} - 60q^{91} - 18q^{92} - 12q^{93} + 6q^{94} - 12q^{95} - 12q^{97} - 18q^{98} + 171q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/190\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(77\)
\(\chi(n)\) \(e\left(\frac{1}{9}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.939693 + 0.342020i 0.664463 + 0.241845i
\(3\) −0.558424 3.16698i −0.322406 1.82846i −0.527307 0.849675i \(-0.676798\pi\)
0.204901 0.978783i \(-0.434313\pi\)
\(4\) 0.766044 + 0.642788i 0.383022 + 0.321394i
\(5\) 0.766044 0.642788i 0.342585 0.287463i
\(6\) 0.558424 3.16698i 0.227976 1.29291i
\(7\) 0.0116976 0.0202608i 0.00442126 0.00765785i −0.863806 0.503824i \(-0.831926\pi\)
0.868228 + 0.496166i \(0.165259\pi\)
\(8\) 0.500000 + 0.866025i 0.176777 + 0.306186i
\(9\) −6.89886 + 2.51098i −2.29962 + 0.836993i
\(10\) 0.939693 0.342020i 0.297157 0.108156i
\(11\) −1.08041 1.87132i −0.325755 0.564225i 0.655910 0.754839i \(-0.272285\pi\)
−0.981665 + 0.190615i \(0.938952\pi\)
\(12\) 1.60792 2.78500i 0.464166 0.803959i
\(13\) −0.276152 + 1.56613i −0.0765907 + 0.434368i 0.922266 + 0.386557i \(0.126336\pi\)
−0.998856 + 0.0478110i \(0.984775\pi\)
\(14\) 0.0179217 0.0150381i 0.00478977 0.00401910i
\(15\) −2.46347 2.06710i −0.636066 0.533723i
\(16\) 0.173648 + 0.984808i 0.0434120 + 0.246202i
\(17\) 7.49847 + 2.72922i 1.81865 + 0.661933i 0.995573 + 0.0939966i \(0.0299643\pi\)
0.823073 + 0.567936i \(0.192258\pi\)
\(18\) −7.34161 −1.73043
\(19\) 1.06458 4.22690i 0.244232 0.969717i
\(20\) 1.00000 0.223607
\(21\) −0.0706976 0.0257318i −0.0154275 0.00561515i
\(22\) −0.375222 2.12799i −0.0799976 0.453689i
\(23\) 3.43239 + 2.88011i 0.715702 + 0.600545i 0.926193 0.377050i \(-0.123062\pi\)
−0.210491 + 0.977596i \(0.567506\pi\)
\(24\) 2.46347 2.06710i 0.502855 0.421945i
\(25\) 0.173648 0.984808i 0.0347296 0.196962i
\(26\) −0.795147 + 1.37724i −0.155941 + 0.270098i
\(27\) 6.98095 + 12.0914i 1.34348 + 2.32698i
\(28\) 0.0219842 0.00800160i 0.00415463 0.00151216i
\(29\) −7.09702 + 2.58310i −1.31788 + 0.479670i −0.902780 0.430104i \(-0.858477\pi\)
−0.415104 + 0.909774i \(0.636255\pi\)
\(30\) −1.60792 2.78500i −0.293564 0.508468i
\(31\) −2.22993 + 3.86236i −0.400508 + 0.693700i −0.993787 0.111297i \(-0.964500\pi\)
0.593279 + 0.804997i \(0.297833\pi\)
\(32\) −0.173648 + 0.984808i −0.0306970 + 0.174091i
\(33\) −5.32312 + 4.46663i −0.926636 + 0.777540i
\(34\) 6.11281 + 5.12925i 1.04834 + 0.879660i
\(35\) −0.00406252 0.0230397i −0.000686691 0.00389442i
\(36\) −6.89886 2.51098i −1.14981 0.418496i
\(37\) −0.389132 −0.0639729 −0.0319864 0.999488i \(-0.510183\pi\)
−0.0319864 + 0.999488i \(0.510183\pi\)
\(38\) 2.44606 3.60788i 0.396804 0.585275i
\(39\) 5.11413 0.818916
\(40\) 0.939693 + 0.342020i 0.148578 + 0.0540781i
\(41\) 0.972920 + 5.51771i 0.151945 + 0.861721i 0.961526 + 0.274713i \(0.0885830\pi\)
−0.809582 + 0.587007i \(0.800306\pi\)
\(42\) −0.0576332 0.0483600i −0.00889300 0.00746212i
\(43\) 7.43337 6.23734i 1.13358 0.951185i 0.134369 0.990931i \(-0.457099\pi\)
0.999210 + 0.0397459i \(0.0126549\pi\)
\(44\) 0.375222 2.12799i 0.0565668 0.320806i
\(45\) −3.67080 + 6.35802i −0.547211 + 0.947798i
\(46\) 2.24033 + 3.88037i 0.330319 + 0.572129i
\(47\) −4.01711 + 1.46211i −0.585956 + 0.213271i −0.617950 0.786218i \(-0.712037\pi\)
0.0319938 + 0.999488i \(0.489814\pi\)
\(48\) 3.02190 1.09988i 0.436173 0.158754i
\(49\) 3.49973 + 6.06170i 0.499961 + 0.865958i
\(50\) 0.500000 0.866025i 0.0707107 0.122474i
\(51\) 4.45606 25.2716i 0.623973 3.53873i
\(52\) −1.21824 + 1.02222i −0.168939 + 0.141757i
\(53\) −2.89731 2.43113i −0.397976 0.333941i 0.421735 0.906719i \(-0.361421\pi\)
−0.819711 + 0.572778i \(0.805866\pi\)
\(54\) 2.42446 + 13.7498i 0.329927 + 1.87111i
\(55\) −2.03050 0.739043i −0.273793 0.0996525i
\(56\) 0.0233951 0.00312630
\(57\) −13.9810 1.01111i −1.85183 0.133925i
\(58\) −7.55249 −0.991691
\(59\) 3.41426 + 1.24269i 0.444499 + 0.161784i 0.554566 0.832140i \(-0.312884\pi\)
−0.110067 + 0.993924i \(0.535107\pi\)
\(60\) −0.558424 3.16698i −0.0720923 0.408856i
\(61\) −8.84152 7.41891i −1.13204 0.949894i −0.132891 0.991131i \(-0.542426\pi\)
−0.999149 + 0.0412364i \(0.986870\pi\)
\(62\) −3.41646 + 2.86675i −0.433890 + 0.364077i
\(63\) −0.0298254 + 0.169148i −0.00375765 + 0.0213107i
\(64\) −0.500000 + 0.866025i −0.0625000 + 0.108253i
\(65\) 0.795147 + 1.37724i 0.0986259 + 0.170825i
\(66\) −6.52977 + 2.37664i −0.803759 + 0.292544i
\(67\) −3.62429 + 1.31913i −0.442778 + 0.161158i −0.553781 0.832662i \(-0.686816\pi\)
0.111004 + 0.993820i \(0.464593\pi\)
\(68\) 3.98985 + 6.91062i 0.483840 + 0.838036i
\(69\) 7.20454 12.4786i 0.867325 1.50225i
\(70\) 0.00406252 0.0230397i 0.000485564 0.00275377i
\(71\) −9.85813 + 8.27195i −1.16994 + 0.981700i −0.999993 0.00375214i \(-0.998806\pi\)
−0.169952 + 0.985452i \(0.554361\pi\)
\(72\) −5.62400 4.71909i −0.662795 0.556151i
\(73\) −0.330206 1.87269i −0.0386477 0.219182i 0.959367 0.282161i \(-0.0910511\pi\)
−0.998015 + 0.0629785i \(0.979940\pi\)
\(74\) −0.365664 0.133091i −0.0425076 0.0154715i
\(75\) −3.21584 −0.371333
\(76\) 3.53251 2.55369i 0.405207 0.292928i
\(77\) −0.0505526 −0.00576100
\(78\) 4.80571 + 1.74914i 0.544139 + 0.198051i
\(79\) −1.65165 9.36698i −0.185825 1.05387i −0.924891 0.380233i \(-0.875844\pi\)
0.739065 0.673634i \(-0.235267\pi\)
\(80\) 0.766044 + 0.642788i 0.0856464 + 0.0718658i
\(81\) 17.5228 14.7034i 1.94698 1.63371i
\(82\) −0.972920 + 5.51771i −0.107441 + 0.609329i
\(83\) 1.31417 2.27622i 0.144249 0.249847i −0.784843 0.619694i \(-0.787257\pi\)
0.929093 + 0.369847i \(0.120590\pi\)
\(84\) −0.0376174 0.0651553i −0.00410440 0.00710903i
\(85\) 7.49847 2.72922i 0.813323 0.296025i
\(86\) 9.11838 3.31882i 0.983260 0.357877i
\(87\) 12.1438 + 21.0337i 1.30195 + 2.25505i
\(88\) 1.08041 1.87132i 0.115172 0.199484i
\(89\) 1.54115 8.74032i 0.163362 0.926472i −0.787375 0.616474i \(-0.788561\pi\)
0.950737 0.309998i \(-0.100328\pi\)
\(90\) −5.62400 + 4.71909i −0.592821 + 0.497436i
\(91\) 0.0285008 + 0.0239150i 0.00298769 + 0.00250697i
\(92\) 0.778059 + 4.41259i 0.0811183 + 0.460045i
\(93\) 13.4773 + 4.90532i 1.39753 + 0.508658i
\(94\) −4.27492 −0.440924
\(95\) −1.90148 3.92229i −0.195088 0.402419i
\(96\) 3.21584 0.328215
\(97\) −10.4812 3.81486i −1.06421 0.387340i −0.250201 0.968194i \(-0.580497\pi\)
−0.814008 + 0.580854i \(0.802719\pi\)
\(98\) 1.21544 + 6.89312i 0.122778 + 0.696310i
\(99\) 12.1524 + 10.1971i 1.22137 + 1.02485i
\(100\) 0.766044 0.642788i 0.0766044 0.0642788i
\(101\) −3.23809 + 18.3641i −0.322202 + 1.82730i 0.206449 + 0.978457i \(0.433809\pi\)
−0.528651 + 0.848840i \(0.677302\pi\)
\(102\) 12.8307 22.2234i 1.27043 2.20045i
\(103\) −1.76795 3.06218i −0.174201 0.301726i 0.765683 0.643218i \(-0.222401\pi\)
−0.939885 + 0.341492i \(0.889068\pi\)
\(104\) −1.49439 + 0.543913i −0.146537 + 0.0533350i
\(105\) −0.0706976 + 0.0257318i −0.00689938 + 0.00251117i
\(106\) −1.89108 3.27545i −0.183678 0.318140i
\(107\) −2.79632 + 4.84336i −0.270330 + 0.468226i −0.968946 0.247271i \(-0.920466\pi\)
0.698616 + 0.715497i \(0.253800\pi\)
\(108\) −2.42446 + 13.7498i −0.233294 + 1.32307i
\(109\) 7.21936 6.05777i 0.691490 0.580229i −0.227849 0.973697i \(-0.573169\pi\)
0.919338 + 0.393468i \(0.128725\pi\)
\(110\) −1.65528 1.38895i −0.157825 0.132431i
\(111\) 0.217301 + 1.23237i 0.0206253 + 0.116972i
\(112\) 0.0219842 + 0.00800160i 0.00207731 + 0.000756080i
\(113\) −5.69339 −0.535589 −0.267795 0.963476i \(-0.586295\pi\)
−0.267795 + 0.963476i \(0.586295\pi\)
\(114\) −12.7920 5.73191i −1.19808 0.536843i
\(115\) 4.48066 0.417824
\(116\) −7.09702 2.58310i −0.658942 0.239835i
\(117\) −2.02740 11.4979i −0.187433 1.06299i
\(118\) 2.78333 + 2.33549i 0.256226 + 0.214999i
\(119\) 0.143010 0.119999i 0.0131097 0.0110003i
\(120\) 0.558424 3.16698i 0.0509769 0.289105i
\(121\) 3.16544 5.48269i 0.287767 0.498427i
\(122\) −5.77089 9.99547i −0.522472 0.904948i
\(123\) 16.9312 6.16244i 1.52663 0.555649i
\(124\) −4.19091 + 1.52536i −0.376354 + 0.136982i
\(125\) −0.500000 0.866025i −0.0447214 0.0774597i
\(126\) −0.0858789 + 0.148747i −0.00765070 + 0.0132514i
\(127\) 1.50642 8.54334i 0.133673 0.758099i −0.842101 0.539320i \(-0.818681\pi\)
0.975774 0.218779i \(-0.0702074\pi\)
\(128\) −0.766044 + 0.642788i −0.0677094 + 0.0568149i
\(129\) −23.9045 20.0583i −2.10468 1.76603i
\(130\) 0.276152 + 1.56613i 0.0242201 + 0.137359i
\(131\) −19.4945 7.09542i −1.70324 0.619930i −0.707055 0.707159i \(-0.749977\pi\)
−0.996188 + 0.0872292i \(0.972199\pi\)
\(132\) −6.94884 −0.604818
\(133\) −0.0731872 0.0710136i −0.00634613 0.00615766i
\(134\) −3.85689 −0.333185
\(135\) 13.1199 + 4.77525i 1.12918 + 0.410988i
\(136\) 1.38566 + 7.85847i 0.118819 + 0.673858i
\(137\) 4.57200 + 3.83636i 0.390612 + 0.327762i 0.816852 0.576848i \(-0.195717\pi\)
−0.426240 + 0.904610i \(0.640162\pi\)
\(138\) 11.0380 9.26198i 0.939617 0.788432i
\(139\) −2.44517 + 13.8672i −0.207397 + 1.17620i 0.686227 + 0.727387i \(0.259266\pi\)
−0.893624 + 0.448817i \(0.851845\pi\)
\(140\) 0.0116976 0.0202608i 0.000988624 0.00171235i
\(141\) 6.87373 + 11.9056i 0.578872 + 1.00264i
\(142\) −12.0928 + 4.40141i −1.01480 + 0.369358i
\(143\) 3.22910 1.17530i 0.270031 0.0982832i
\(144\) −3.67080 6.35802i −0.305900 0.529835i
\(145\) −3.77625 + 6.54065i −0.313600 + 0.543171i
\(146\) 0.330206 1.87269i 0.0273281 0.154985i
\(147\) 17.2430 14.4686i 1.42218 1.19335i
\(148\) −0.298092 0.250129i −0.0245030 0.0205605i
\(149\) 1.22145 + 6.92721i 0.100065 + 0.567499i 0.993077 + 0.117465i \(0.0374769\pi\)
−0.893012 + 0.450034i \(0.851412\pi\)
\(150\) −3.02190 1.09988i −0.246737 0.0898049i
\(151\) −14.0840 −1.14614 −0.573070 0.819507i \(-0.694248\pi\)
−0.573070 + 0.819507i \(0.694248\pi\)
\(152\) 4.19289 1.19149i 0.340088 0.0966429i
\(153\) −58.5838 −4.73622
\(154\) −0.0475039 0.0172900i −0.00382797 0.00139327i
\(155\) 0.774448 + 4.39211i 0.0622052 + 0.352783i
\(156\) 3.91765 + 3.28730i 0.313663 + 0.263195i
\(157\) 2.07466 1.74085i 0.165576 0.138935i −0.556235 0.831025i \(-0.687755\pi\)
0.721811 + 0.692090i \(0.243310\pi\)
\(158\) 1.65165 9.36698i 0.131398 0.745197i
\(159\) −6.08141 + 10.5333i −0.482288 + 0.835346i
\(160\) 0.500000 + 0.866025i 0.0395285 + 0.0684653i
\(161\) 0.0985039 0.0358525i 0.00776319 0.00282557i
\(162\) 21.4949 7.82350i 1.68880 0.614672i
\(163\) −6.89810 11.9479i −0.540301 0.935829i −0.998886 0.0471785i \(-0.984977\pi\)
0.458585 0.888650i \(-0.348356\pi\)
\(164\) −2.80141 + 4.85219i −0.218754 + 0.378892i
\(165\) −1.20665 + 6.84327i −0.0939378 + 0.532748i
\(166\) 2.01343 1.68947i 0.156273 0.131128i
\(167\) 18.5877 + 15.5969i 1.43836 + 1.20692i 0.940558 + 0.339632i \(0.110302\pi\)
0.497798 + 0.867293i \(0.334142\pi\)
\(168\) −0.0130644 0.0740919i −0.00100794 0.00571631i
\(169\) 9.83949 + 3.58128i 0.756884 + 0.275483i
\(170\) 7.97970 0.612015
\(171\) 3.26925 + 31.8339i 0.250006 + 2.43440i
\(172\) 9.70358 0.739891
\(173\) 18.1956 + 6.62267i 1.38339 + 0.503512i 0.923204 0.384311i \(-0.125561\pi\)
0.460184 + 0.887823i \(0.347783\pi\)
\(174\) 4.21749 + 23.9186i 0.319727 + 1.81326i
\(175\) −0.0179217 0.0150381i −0.00135475 0.00113677i
\(176\) 1.65528 1.38895i 0.124772 0.104696i
\(177\) 2.02897 11.5068i 0.152506 0.864907i
\(178\) 4.43758 7.68611i 0.332610 0.576098i
\(179\) −4.29621 7.44125i −0.321114 0.556185i 0.659604 0.751613i \(-0.270724\pi\)
−0.980718 + 0.195428i \(0.937391\pi\)
\(180\) −6.89886 + 2.51098i −0.514210 + 0.187157i
\(181\) 3.94197 1.43476i 0.293005 0.106645i −0.191336 0.981525i \(-0.561282\pi\)
0.484340 + 0.874880i \(0.339060\pi\)
\(182\) 0.0186026 + 0.0322206i 0.00137891 + 0.00238835i
\(183\) −18.5582 + 32.1438i −1.37186 + 2.37614i
\(184\) −0.778059 + 4.41259i −0.0573593 + 0.325301i
\(185\) −0.298092 + 0.250129i −0.0219162 + 0.0183899i
\(186\) 10.9868 + 9.21899i 0.805589 + 0.675969i
\(187\) −2.99416 16.9807i −0.218955 1.24175i
\(188\) −4.01711 1.46211i −0.292978 0.106635i
\(189\) 0.326640 0.0237596
\(190\) −0.445304 4.33609i −0.0323058 0.314573i
\(191\) 18.8620 1.36481 0.682403 0.730976i \(-0.260935\pi\)
0.682403 + 0.730976i \(0.260935\pi\)
\(192\) 3.02190 + 1.09988i 0.218087 + 0.0793771i
\(193\) −3.08999 17.5242i −0.222422 1.26142i −0.867552 0.497346i \(-0.834308\pi\)
0.645130 0.764073i \(-0.276803\pi\)
\(194\) −8.54438 7.16959i −0.613451 0.514747i
\(195\) 3.91765 3.28730i 0.280549 0.235408i
\(196\) −1.21544 + 6.89312i −0.0868173 + 0.492365i
\(197\) −6.75642 + 11.7025i −0.481375 + 0.833766i −0.999772 0.0213742i \(-0.993196\pi\)
0.518396 + 0.855140i \(0.326529\pi\)
\(198\) 7.93194 + 13.7385i 0.563698 + 0.976354i
\(199\) −6.59301 + 2.39966i −0.467366 + 0.170107i −0.564959 0.825119i \(-0.691108\pi\)
0.0975926 + 0.995226i \(0.468886\pi\)
\(200\) 0.939693 0.342020i 0.0664463 0.0241845i
\(201\) 6.20156 + 10.7414i 0.437425 + 0.757642i
\(202\) −9.32370 + 16.1491i −0.656013 + 1.13625i
\(203\) −0.0306821 + 0.174007i −0.00215346 + 0.0122129i
\(204\) 19.6578 16.4948i 1.37632 1.15487i
\(205\) 4.29201 + 3.60143i 0.299767 + 0.251535i
\(206\) −0.614003 3.48218i −0.0427796 0.242615i
\(207\) −30.9114 11.2508i −2.14849 0.781988i
\(208\) −1.59029 −0.110267
\(209\) −9.06007 + 2.57460i −0.626698 + 0.178089i
\(210\) −0.0752349 −0.00519170
\(211\) −6.68827 2.43433i −0.460440 0.167586i 0.101377 0.994848i \(-0.467675\pi\)
−0.561817 + 0.827262i \(0.689897\pi\)
\(212\) −0.656766 3.72471i −0.0451069 0.255814i
\(213\) 31.7021 + 26.6013i 2.17219 + 1.82269i
\(214\) −4.28421 + 3.59488i −0.292862 + 0.245741i
\(215\) 1.68501 9.55616i 0.114917 0.651725i
\(216\) −6.98095 + 12.0914i −0.474994 + 0.822713i
\(217\) 0.0521696 + 0.0903603i 0.00354150 + 0.00613406i
\(218\) 8.85586 3.22327i 0.599795 0.218307i
\(219\) −5.74639 + 2.09151i −0.388305 + 0.141331i
\(220\) −1.08041 1.87132i −0.0728411 0.126165i
\(221\) −6.34504 + 10.9899i −0.426813 + 0.739263i
\(222\) −0.217301 + 1.23237i −0.0145843 + 0.0827115i
\(223\) −3.34000 + 2.80259i −0.223663 + 0.187675i −0.747733 0.664000i \(-0.768858\pi\)
0.524070 + 0.851675i \(0.324413\pi\)
\(224\) 0.0179217 + 0.0150381i 0.00119744 + 0.00100477i
\(225\) 1.27486 + 7.23007i 0.0849905 + 0.482005i
\(226\) −5.35004 1.94725i −0.355879 0.129529i
\(227\) 9.44623 0.626969 0.313484 0.949593i \(-0.398504\pi\)
0.313484 + 0.949593i \(0.398504\pi\)
\(228\) −10.0601 9.76136i −0.666249 0.646462i
\(229\) 22.8675 1.51112 0.755562 0.655077i \(-0.227364\pi\)
0.755562 + 0.655077i \(0.227364\pi\)
\(230\) 4.21045 + 1.53248i 0.277629 + 0.101049i
\(231\) 0.0282298 + 0.160099i 0.00185738 + 0.0105337i
\(232\) −5.78554 4.85465i −0.379840 0.318723i
\(233\) −8.10215 + 6.79851i −0.530790 + 0.445385i −0.868374 0.495910i \(-0.834835\pi\)
0.337584 + 0.941295i \(0.390390\pi\)
\(234\) 2.02740 11.4979i 0.132535 0.751644i
\(235\) −2.13746 + 3.70219i −0.139433 + 0.241504i
\(236\) 1.81669 + 3.14660i 0.118256 + 0.204826i
\(237\) −28.7427 + 10.4615i −1.86704 + 0.679547i
\(238\) 0.175427 0.0638504i 0.0113713 0.00413880i
\(239\) −8.67636 15.0279i −0.561227 0.972074i −0.997390 0.0722058i \(-0.976996\pi\)
0.436163 0.899868i \(-0.356337\pi\)
\(240\) 1.60792 2.78500i 0.103791 0.179771i
\(241\) −0.0833347 + 0.472614i −0.00536806 + 0.0304438i −0.987374 0.158406i \(-0.949365\pi\)
0.982006 + 0.188849i \(0.0604758\pi\)
\(242\) 4.84973 4.06940i 0.311752 0.261591i
\(243\) −24.2641 20.3600i −1.55655 1.30610i
\(244\) −2.00421 11.3664i −0.128306 0.727661i
\(245\) 6.57733 + 2.39395i 0.420210 + 0.152944i
\(246\) 18.0178 1.14877
\(247\) 6.32590 + 2.83454i 0.402508 + 0.180358i
\(248\) −4.45987 −0.283202
\(249\) −7.94260 2.89087i −0.503342 0.183202i
\(250\) −0.173648 0.984808i −0.0109825 0.0622847i
\(251\) 4.56913 + 3.83396i 0.288401 + 0.241997i 0.775497 0.631351i \(-0.217499\pi\)
−0.487096 + 0.873348i \(0.661944\pi\)
\(252\) −0.131574 + 0.110404i −0.00828839 + 0.00695478i
\(253\) 1.68124 9.53480i 0.105699 0.599448i
\(254\) 4.33757 7.51289i 0.272163 0.471400i
\(255\) −12.8307 22.2234i −0.803490 1.39169i
\(256\) −0.939693 + 0.342020i −0.0587308 + 0.0213763i
\(257\) 12.7121 4.62683i 0.792959 0.288614i 0.0863936 0.996261i \(-0.472466\pi\)
0.706566 + 0.707648i \(0.250244\pi\)
\(258\) −15.6026 27.0244i −0.971373 1.68247i
\(259\) −0.00455189 + 0.00788411i −0.000282841 + 0.000489895i
\(260\) −0.276152 + 1.56613i −0.0171262 + 0.0971275i
\(261\) 42.4752 35.6409i 2.62915 2.20612i
\(262\) −15.8921 13.3350i −0.981815 0.823841i
\(263\) −3.05915 17.3493i −0.188635 1.06980i −0.921195 0.389101i \(-0.872786\pi\)
0.732560 0.680703i \(-0.238326\pi\)
\(264\) −6.52977 2.37664i −0.401880 0.146272i
\(265\) −3.78217 −0.232337
\(266\) −0.0444853 0.0917624i −0.00272757 0.00562632i
\(267\) −28.5410 −1.74668
\(268\) −3.62429 1.31913i −0.221389 0.0805789i
\(269\) −0.447725 2.53918i −0.0272983 0.154816i 0.968112 0.250519i \(-0.0806013\pi\)
−0.995410 + 0.0957028i \(0.969490\pi\)
\(270\) 10.6954 + 8.97454i 0.650904 + 0.546173i
\(271\) −8.49966 + 7.13206i −0.516318 + 0.433242i −0.863346 0.504613i \(-0.831635\pi\)
0.347028 + 0.937855i \(0.387191\pi\)
\(272\) −1.38566 + 7.85847i −0.0840180 + 0.476490i
\(273\) 0.0598228 0.103616i 0.00362064 0.00627113i
\(274\) 2.98416 + 5.16871i 0.180280 + 0.312253i
\(275\) −2.03050 + 0.739043i −0.122444 + 0.0445660i
\(276\) 13.5401 4.92820i 0.815019 0.296643i
\(277\) 1.47762 + 2.55932i 0.0887817 + 0.153774i 0.906996 0.421138i \(-0.138369\pi\)
−0.818215 + 0.574913i \(0.805036\pi\)
\(278\) −7.04059 + 12.1947i −0.422266 + 0.731387i
\(279\) 5.68569 32.2452i 0.340394 1.93047i
\(280\) 0.0179217 0.0150381i 0.00107103 0.000898698i
\(281\) 10.6181 + 8.90966i 0.633424 + 0.531506i 0.901991 0.431755i \(-0.142106\pi\)
−0.268567 + 0.963261i \(0.586550\pi\)
\(282\) 2.38722 + 13.5386i 0.142157 + 0.806212i
\(283\) 4.36045 + 1.58707i 0.259202 + 0.0943418i 0.468353 0.883542i \(-0.344848\pi\)
−0.209151 + 0.977883i \(0.567070\pi\)
\(284\) −12.8689 −0.763627
\(285\) −11.3600 + 8.21226i −0.672908 + 0.486452i
\(286\) 3.43634 0.203195
\(287\) 0.123174 + 0.0448316i 0.00727071 + 0.00264632i
\(288\) −1.27486 7.23007i −0.0751217 0.426036i
\(289\) 35.7556 + 30.0025i 2.10327 + 1.76485i
\(290\) −5.78554 + 4.85465i −0.339739 + 0.285075i
\(291\) −6.22861 + 35.3242i −0.365128 + 2.07074i
\(292\) 0.950791 1.64682i 0.0556409 0.0963728i
\(293\) −5.93313 10.2765i −0.346617 0.600358i 0.639029 0.769182i \(-0.279336\pi\)
−0.985646 + 0.168824i \(0.946003\pi\)
\(294\) 21.1516 7.69857i 1.23359 0.448989i
\(295\) 3.41426 1.24269i 0.198786 0.0723521i
\(296\) −0.194566 0.336998i −0.0113089 0.0195876i
\(297\) 15.0846 26.1272i 0.875295 1.51606i
\(298\) −1.22145 + 6.92721i −0.0707569 + 0.401282i
\(299\) −5.45851 + 4.58023i −0.315674 + 0.264882i
\(300\) −2.46347 2.06710i −0.142229 0.119344i
\(301\) −0.0394210 0.223567i −0.00227219 0.0128862i
\(302\) −13.2346 4.81701i −0.761567 0.277188i
\(303\) 59.9670 3.44501
\(304\) 4.34754 + 0.314416i 0.249349 + 0.0180330i
\(305\) −11.5418 −0.660880
\(306\) −55.0508 20.0369i −3.14704 1.14543i
\(307\) 1.81328 + 10.2836i 0.103489 + 0.586918i 0.991813 + 0.127699i \(0.0407593\pi\)
−0.888323 + 0.459218i \(0.848130\pi\)
\(308\) −0.0387255 0.0324946i −0.00220659 0.00185155i
\(309\) −8.71060 + 7.30906i −0.495529 + 0.415798i
\(310\) −0.774448 + 4.39211i −0.0439857 + 0.249455i
\(311\) 7.33307 12.7012i 0.415820 0.720222i −0.579694 0.814834i \(-0.696828\pi\)
0.995514 + 0.0946125i \(0.0301612\pi\)
\(312\) 2.55706 + 4.42897i 0.144765 + 0.250741i
\(313\) 20.1826 7.34588i 1.14079 0.415214i 0.298592 0.954381i \(-0.403483\pi\)
0.842199 + 0.539167i \(0.181261\pi\)
\(314\) 2.54495 0.926285i 0.143620 0.0522733i
\(315\) 0.0858789 + 0.148747i 0.00483873 + 0.00838092i
\(316\) 4.75574 8.23718i 0.267531 0.463378i
\(317\) 2.05192 11.6370i 0.115247 0.653599i −0.871381 0.490608i \(-0.836775\pi\)
0.986628 0.162991i \(-0.0521141\pi\)
\(318\) −9.31727 + 7.81812i −0.522486 + 0.438418i
\(319\) 12.5015 + 10.4900i 0.699950 + 0.587327i
\(320\) 0.173648 + 0.984808i 0.00970723 + 0.0550524i
\(321\) 16.9004 + 6.15123i 0.943287 + 0.343328i
\(322\) 0.104826 0.00584170
\(323\) 19.5189 28.7898i 1.08606 1.60191i
\(324\) 22.8744 1.27080
\(325\) 1.49439 + 0.543913i 0.0828937 + 0.0301709i
\(326\) −2.39569 13.5866i −0.132685 0.752493i
\(327\) −23.2163 19.4808i −1.28386 1.07729i
\(328\) −4.29201 + 3.60143i −0.236987 + 0.198856i
\(329\) −0.0173669 + 0.0984928i −0.000957471 + 0.00543009i
\(330\) −3.47442 + 6.01787i −0.191260 + 0.331273i
\(331\) −8.88073 15.3819i −0.488129 0.845464i 0.511778 0.859118i \(-0.328987\pi\)
−0.999907 + 0.0136535i \(0.995654\pi\)
\(332\) 2.46984 0.898948i 0.135550 0.0493362i
\(333\) 2.68456 0.977102i 0.147113 0.0535448i
\(334\) 12.1322 + 21.0137i 0.663847 + 1.14982i
\(335\) −1.92844 + 3.34016i −0.105362 + 0.182493i
\(336\) 0.0130644 0.0740919i 0.000712721 0.00404204i
\(337\) 1.82756 1.53351i 0.0995537 0.0835354i −0.591652 0.806193i \(-0.701524\pi\)
0.691206 + 0.722658i \(0.257080\pi\)
\(338\) 8.02122 + 6.73060i 0.436297 + 0.366097i
\(339\) 3.17933 + 18.0309i 0.172677 + 0.979302i
\(340\) 7.49847 + 2.72922i 0.406661 + 0.148013i
\(341\) 9.63696 0.521871
\(342\) −7.81574 + 31.0322i −0.422627 + 1.67803i
\(343\) 0.327519 0.0176843
\(344\) 9.11838 + 3.31882i 0.491630 + 0.178939i
\(345\) −2.50211 14.1902i −0.134709 0.763973i
\(346\) 14.8332 + 12.4465i 0.797438 + 0.669130i
\(347\) 11.7982 9.89984i 0.633359 0.531451i −0.268612 0.963249i \(-0.586565\pi\)
0.901971 + 0.431797i \(0.142120\pi\)
\(348\) −4.21749 + 23.9186i −0.226081 + 1.28217i
\(349\) −4.92259 + 8.52618i −0.263500 + 0.456396i −0.967170 0.254132i \(-0.918210\pi\)
0.703669 + 0.710528i \(0.251544\pi\)
\(350\) −0.0116976 0.0202608i −0.000625261 0.00108298i
\(351\) −20.8645 + 7.59406i −1.11366 + 0.405341i
\(352\) 2.03050 0.739043i 0.108226 0.0393911i
\(353\) 4.25682 + 7.37302i 0.226567 + 0.392426i 0.956789 0.290785i \(-0.0939163\pi\)
−0.730221 + 0.683211i \(0.760583\pi\)
\(354\) 5.84218 10.1189i 0.310508 0.537816i
\(355\) −2.23466 + 12.6734i −0.118603 + 0.672633i
\(356\) 6.79876 5.70484i 0.360334 0.302356i
\(357\) −0.459896 0.385899i −0.0243403 0.0204239i
\(358\) −1.49206 8.46188i −0.0788577 0.447224i
\(359\) −29.6177 10.7800i −1.56317 0.568946i −0.591706 0.806154i \(-0.701545\pi\)
−0.971459 + 0.237208i \(0.923768\pi\)
\(360\) −7.34161 −0.386937
\(361\) −16.7333 8.99976i −0.880702 0.473672i
\(362\) 4.19496 0.220482
\(363\) −19.1312 6.96320i −1.00413 0.365473i
\(364\) 0.00646060 + 0.0366399i 0.000338628 + 0.00192045i
\(365\) −1.45670 1.22231i −0.0762470 0.0639788i
\(366\) −28.4329 + 23.8580i −1.48621 + 1.24708i
\(367\) 1.21117 6.86889i 0.0632226 0.358553i −0.936741 0.350023i \(-0.886174\pi\)
0.999964 0.00853004i \(-0.00271523\pi\)
\(368\) −2.24033 + 3.88037i −0.116785 + 0.202278i
\(369\) −20.5669 35.6229i −1.07067 1.85445i
\(370\) −0.365664 + 0.133091i −0.0190100 + 0.00691907i
\(371\) −0.0831479 + 0.0302634i −0.00431683 + 0.00157120i
\(372\) 7.17110 + 12.4207i 0.371804 + 0.643984i
\(373\) −6.02737 + 10.4397i −0.312085 + 0.540548i −0.978814 0.204753i \(-0.934361\pi\)
0.666728 + 0.745301i \(0.267694\pi\)
\(374\) 2.99416 16.9807i 0.154824 0.878052i
\(375\) −2.46347 + 2.06710i −0.127213 + 0.106745i
\(376\) −3.27478 2.74787i −0.168884 0.141710i
\(377\) −2.08563 11.8282i −0.107416 0.609184i
\(378\) 0.306941 + 0.111718i 0.0157874 + 0.00574613i
\(379\) −6.82285 −0.350466 −0.175233 0.984527i \(-0.556068\pi\)
−0.175233 + 0.984527i \(0.556068\pi\)
\(380\) 1.06458 4.22690i 0.0546119 0.216835i
\(381\) −27.8978 −1.42925
\(382\) 17.7245 + 6.45118i 0.906863 + 0.330071i
\(383\) 1.88011 + 10.6626i 0.0960690 + 0.544834i 0.994415 + 0.105545i \(0.0336587\pi\)
−0.898346 + 0.439290i \(0.855230\pi\)
\(384\) 2.46347 + 2.06710i 0.125714 + 0.105486i
\(385\) −0.0387255 + 0.0324946i −0.00197363 + 0.00165608i
\(386\) 3.08999 17.5242i 0.157276 0.891958i
\(387\) −35.6199 + 61.6955i −1.81066 + 3.13616i
\(388\) −5.57695 9.65956i −0.283127 0.490390i
\(389\) 7.07236 2.57413i 0.358583 0.130513i −0.156446 0.987687i \(-0.550004\pi\)
0.515028 + 0.857173i \(0.327781\pi\)
\(390\) 4.80571 1.74914i 0.243347 0.0885709i
\(391\) 17.8772 + 30.9642i 0.904088 + 1.56593i
\(392\) −3.49973 + 6.06170i −0.176763 + 0.306162i
\(393\) −11.5849 + 65.7010i −0.584379 + 3.31418i
\(394\) −10.3514 + 8.68589i −0.521498 + 0.437589i
\(395\) −7.28621 6.11386i −0.366609 0.307622i
\(396\) 2.75473 + 15.6229i 0.138431 + 0.785078i
\(397\) 4.65031 + 1.69258i 0.233393 + 0.0849479i 0.456069 0.889944i \(-0.349257\pi\)
−0.222676 + 0.974892i \(0.571479\pi\)
\(398\) −7.01614 −0.351687
\(399\) −0.184029 + 0.271438i −0.00921299 + 0.0135889i
\(400\) 1.00000 0.0500000
\(401\) −18.6833 6.80015i −0.932998 0.339583i −0.169601 0.985513i \(-0.554248\pi\)
−0.763397 + 0.645929i \(0.776470\pi\)
\(402\) 2.15378 + 12.2147i 0.107421 + 0.609214i
\(403\) −5.43317 4.55897i −0.270646 0.227099i
\(404\) −14.2847 + 11.9863i −0.710692 + 0.596342i
\(405\) 3.97210 22.5269i 0.197375 1.11937i
\(406\) −0.0883457 + 0.153019i −0.00438452 + 0.00759422i
\(407\) 0.420421 + 0.728191i 0.0208395 + 0.0360951i
\(408\) 24.1138 8.77672i 1.19381 0.434512i
\(409\) −12.1132 + 4.40884i −0.598958 + 0.218003i −0.623665 0.781692i \(-0.714357\pi\)
0.0247068 + 0.999695i \(0.492135\pi\)
\(410\) 2.80141 + 4.85219i 0.138352 + 0.239633i
\(411\) 9.59657 16.6217i 0.473364 0.819890i
\(412\) 0.614003 3.48218i 0.0302497 0.171555i
\(413\) 0.0651163 0.0546391i 0.00320416 0.00268861i
\(414\) −25.1992 21.1447i −1.23848 1.03920i
\(415\) −0.456408 2.58842i −0.0224042 0.127060i
\(416\) −1.49439 0.543913i −0.0732684 0.0266675i
\(417\) 45.2828 2.21751
\(418\) −9.39425 0.679394i −0.459488 0.0332303i
\(419\) 4.48425 0.219070 0.109535 0.993983i \(-0.465064\pi\)
0.109535 + 0.993983i \(0.465064\pi\)
\(420\) −0.0706976 0.0257318i −0.00344969 0.00125559i
\(421\) −3.74698 21.2502i −0.182616 1.03567i −0.928980 0.370131i \(-0.879313\pi\)
0.746363 0.665539i \(-0.231798\pi\)
\(422\) −5.45233 4.57505i −0.265415 0.222710i
\(423\) 24.0421 20.1738i 1.16897 0.980882i
\(424\) 0.656766 3.72471i 0.0318954 0.180888i
\(425\) 3.98985 6.91062i 0.193536 0.335214i
\(426\) 20.6921 + 35.8398i 1.00254 + 1.73644i
\(427\) −0.253737 + 0.0923527i −0.0122792 + 0.00446926i
\(428\) −5.25536 + 1.91279i −0.254027 + 0.0924584i
\(429\) −5.52535 9.57018i −0.266766 0.462053i
\(430\) 4.85179 8.40355i 0.233974 0.405255i
\(431\) 2.06827 11.7298i 0.0996252 0.565003i −0.893606 0.448852i \(-0.851833\pi\)
0.993232 0.116151i \(-0.0370557\pi\)
\(432\) −10.6954 + 8.97454i −0.514585 + 0.431788i
\(433\) 16.9528 + 14.2251i 0.814701 + 0.683615i 0.951725 0.306952i \(-0.0993093\pi\)
−0.137024 + 0.990568i \(0.543754\pi\)
\(434\) 0.0181183 + 0.102754i 0.000869706 + 0.00493235i
\(435\) 22.8229 + 8.30684i 1.09427 + 0.398283i
\(436\) 9.42421 0.451338
\(437\) 15.8280 11.4422i 0.757156 0.547356i
\(438\) −6.11518 −0.292195
\(439\) 6.47904 + 2.35818i 0.309228 + 0.112550i 0.491973 0.870611i \(-0.336276\pi\)
−0.182745 + 0.983160i \(0.558498\pi\)
\(440\) −0.375222 2.12799i −0.0178880 0.101448i
\(441\) −39.3649 33.0311i −1.87452 1.57291i
\(442\) −9.72116 + 8.15702i −0.462389 + 0.387990i
\(443\) −0.268390 + 1.52212i −0.0127516 + 0.0723180i −0.990520 0.137372i \(-0.956134\pi\)
0.977768 + 0.209690i \(0.0672455\pi\)
\(444\) −0.625692 + 1.08373i −0.0296940 + 0.0514316i
\(445\) −4.43758 7.68611i −0.210361 0.364356i
\(446\) −4.09711 + 1.49123i −0.194004 + 0.0706117i
\(447\) 21.2562 7.73664i 1.00539 0.365931i
\(448\) 0.0116976 + 0.0202608i 0.000552658 + 0.000957231i
\(449\) −2.95993 + 5.12674i −0.139688 + 0.241946i −0.927378 0.374125i \(-0.877943\pi\)
0.787691 + 0.616071i \(0.211276\pi\)
\(450\) −1.27486 + 7.23007i −0.0600973 + 0.340829i
\(451\) 9.27425 7.78202i 0.436708 0.366441i
\(452\) −4.36139 3.65964i −0.205143 0.172135i
\(453\) 7.86485 + 44.6038i 0.369523 + 2.09567i
\(454\) 8.87656 + 3.23080i 0.416597 + 0.151629i
\(455\) 0.0372051 0.00174420
\(456\) −6.11485 12.6135i −0.286354 0.590679i
\(457\) 29.5382 1.38174 0.690870 0.722979i \(-0.257228\pi\)
0.690870 + 0.722979i \(0.257228\pi\)
\(458\) 21.4884 + 7.82113i 1.00409 + 0.365458i
\(459\) 19.3465 + 109.719i 0.903015 + 5.12125i
\(460\) 3.43239 + 2.88011i 0.160036 + 0.134286i
\(461\) 23.3287 19.5751i 1.08652 0.911702i 0.0900776 0.995935i \(-0.471288\pi\)
0.996446 + 0.0842331i \(0.0268440\pi\)
\(462\) −0.0282298 + 0.160099i −0.00131337 + 0.00744848i
\(463\) −19.4309 + 33.6554i −0.903033 + 1.56410i −0.0794963 + 0.996835i \(0.525331\pi\)
−0.823536 + 0.567263i \(0.808002\pi\)
\(464\) −3.77625 6.54065i −0.175308 0.303642i
\(465\) 13.4773 4.90532i 0.624993 0.227479i
\(466\) −9.93876 + 3.61741i −0.460404 + 0.167573i
\(467\) −14.3141 24.7927i −0.662377 1.14727i −0.979989 0.199050i \(-0.936214\pi\)
0.317612 0.948221i \(-0.397119\pi\)
\(468\) 5.83766 10.1111i 0.269846 0.467387i
\(469\) −0.0156687 + 0.0888615i −0.000723513 + 0.00410324i
\(470\) −3.27478 + 2.74787i −0.151054 + 0.126750i
\(471\) −6.67177 5.59828i −0.307419 0.257955i
\(472\) 0.630930 + 3.57818i 0.0290409 + 0.164699i
\(473\) −19.7032 7.17136i −0.905952 0.329740i
\(474\) −30.5874 −1.40492
\(475\) −3.97782 1.78240i −0.182515 0.0817822i
\(476\) 0.186686 0.00855674
\(477\) 26.0926 + 9.49693i 1.19470 + 0.434835i
\(478\) −3.01327 17.0891i −0.137824 0.781637i
\(479\) −12.7889 10.7312i −0.584340 0.490320i 0.302029 0.953299i \(-0.402336\pi\)
−0.886369 + 0.462979i \(0.846781\pi\)
\(480\) 2.46347 2.06710i 0.112442 0.0943498i
\(481\) 0.107459 0.609433i 0.00489973 0.0277877i
\(482\) −0.239953 + 0.415610i −0.0109295 + 0.0189305i
\(483\) −0.168551 0.291939i −0.00766934 0.0132837i
\(484\) 5.94907 2.16529i 0.270412 0.0984221i
\(485\) −10.4812 + 3.81486i −0.475929 + 0.173224i
\(486\) −15.8373 27.4310i −0.718394 1.24430i
\(487\) −9.69165 + 16.7864i −0.439171 + 0.760666i −0.997626 0.0688690i \(-0.978061\pi\)
0.558455 + 0.829535i \(0.311394\pi\)
\(488\) 2.00421 11.3664i 0.0907263 0.514534i
\(489\) −33.9866 + 28.5181i −1.53693 + 1.28963i
\(490\) 5.36189 + 4.49916i 0.242226 + 0.203251i
\(491\) 6.30923 + 35.7814i 0.284731 + 1.61479i 0.706243 + 0.707970i \(0.250389\pi\)
−0.421511 + 0.906823i \(0.638500\pi\)
\(492\) 16.9312 + 6.16244i 0.763316 + 0.277824i
\(493\) −60.2666 −2.71427
\(494\) 4.97493 + 4.82719i 0.223833 + 0.217185i
\(495\) 15.8639 0.713028
\(496\) −4.19091 1.52536i −0.188177 0.0684909i
\(497\) 0.0522800 + 0.296495i 0.00234508 + 0.0132996i
\(498\) −6.47487 5.43306i −0.290146 0.243461i
\(499\) −5.94585 + 4.98916i −0.266173 + 0.223346i −0.766099 0.642722i \(-0.777805\pi\)
0.499926 + 0.866068i \(0.333360\pi\)
\(500\) 0.173648 0.984808i 0.00776578 0.0440419i
\(501\) 39.0153 67.5765i 1.74308 3.01909i
\(502\) 2.98229 + 5.16548i 0.133106 + 0.230546i
\(503\) −0.597098 + 0.217326i −0.0266233 + 0.00969008i −0.355297 0.934753i \(-0.615620\pi\)
0.328674 + 0.944443i \(0.393398\pi\)
\(504\) −0.161399 + 0.0587446i −0.00718930 + 0.00261669i
\(505\) 9.32370 + 16.1491i 0.414899 + 0.718627i
\(506\) 4.84095 8.38477i 0.215206 0.372748i
\(507\) 5.84724 33.1613i 0.259685 1.47275i
\(508\) 6.64554 5.57627i 0.294848 0.247407i
\(509\) 20.1192 + 16.8820i 0.891767 + 0.748282i 0.968564 0.248765i \(-0.0800248\pi\)
−0.0767966 + 0.997047i \(0.524469\pi\)
\(510\) −4.45606 25.2716i −0.197318 1.11904i
\(511\) −0.0418048 0.0152157i −0.00184934 0.000673103i
\(512\) −1.00000 −0.0441942
\(513\) 58.5408 16.6355i 2.58464 0.734476i
\(514\) 13.5279 0.596692
\(515\) −3.32266 1.20935i −0.146414 0.0532903i
\(516\) −5.41871 30.7311i −0.238546 1.35286i
\(517\) 7.07620 + 5.93764i 0.311211 + 0.261137i
\(518\) −0.00697390 + 0.00585180i −0.000306416 + 0.000257113i
\(519\) 10.8130 61.3235i 0.474637 2.69180i
\(520\) −0.795147 + 1.37724i −0.0348695 + 0.0603958i
\(521\) −20.1453 34.8927i −0.882583 1.52868i −0.848459 0.529262i \(-0.822469\pi\)
−0.0341245 0.999418i \(-0.510864\pi\)
\(522\) 52.1035 18.9641i 2.28051 0.830038i
\(523\) −15.7402 + 5.72897i −0.688271 + 0.250510i −0.662395 0.749155i \(-0.730460\pi\)
−0.0258764 + 0.999665i \(0.508238\pi\)
\(524\) −10.3728 17.9662i −0.453138 0.784859i
\(525\) −0.0376174 + 0.0651553i −0.00164176 + 0.00284361i
\(526\) 3.05915 17.3493i 0.133385 0.756466i
\(527\) −27.2623 + 22.8758i −1.18756 + 0.996485i
\(528\) −5.32312 4.46663i −0.231659 0.194385i
\(529\) −0.507688 2.87924i −0.0220734 0.125184i
\(530\) −3.55407 1.29358i −0.154379 0.0561894i
\(531\) −26.6748 −1.15759
\(532\) −0.0104179 0.101443i −0.000451675 0.00439813i
\(533\) −8.91014 −0.385941
\(534\) −26.8198 9.76161i −1.16061 0.422426i
\(535\) 0.971151 + 5.50767i 0.0419865 + 0.238117i
\(536\) −2.95455 2.47916i −0.127617 0.107083i
\(537\) −21.1672 + 17.7614i −0.913432 + 0.766461i
\(538\) 0.447725 2.53918i 0.0193028 0.109472i
\(539\) 7.56227 13.0982i 0.325730 0.564181i
\(540\) 6.98095 + 12.0914i 0.300412 + 0.520329i
\(541\) −28.7784 + 10.4745i −1.23728 + 0.450334i −0.876085 0.482156i \(-0.839854\pi\)
−0.361196 + 0.932490i \(0.617632\pi\)
\(542\) −10.4264 + 3.79489i −0.447851 + 0.163005i
\(543\) −6.74515 11.6830i −0.289462 0.501363i
\(544\) −3.98985 + 6.91062i −0.171063 + 0.296291i
\(545\) 1.63650 9.28104i 0.0700998 0.397556i
\(546\) 0.0916539 0.0769067i 0.00392242 0.00329130i
\(547\) −0.00614318 0.00515474i −0.000262663 0.000220401i 0.642656 0.766155i \(-0.277832\pi\)
−0.642919 + 0.765934i \(0.722277\pi\)
\(548\) 1.03639 + 5.87764i 0.0442723 + 0.251081i
\(549\) 79.6251 + 28.9812i 3.39831 + 1.23689i
\(550\) −2.16082 −0.0921375
\(551\) 3.36316 + 32.7483i 0.143275 + 1.39512i
\(552\) 14.4091 0.613291
\(553\) −0.209102 0.0761070i −0.00889194 0.00323640i
\(554\) 0.513173 + 2.91035i 0.0218026 + 0.123649i
\(555\) 0.958616 + 0.804375i 0.0406910 + 0.0341438i
\(556\) −10.7868 + 9.05120i −0.457462 + 0.383856i
\(557\) 1.16220 6.59116i 0.0492440 0.279276i −0.950236 0.311532i \(-0.899158\pi\)
0.999480 + 0.0322555i \(0.0102690\pi\)
\(558\) 16.3713 28.3559i 0.693052 1.20040i
\(559\) 7.71578 + 13.3641i 0.326343 + 0.565242i
\(560\) 0.0219842 0.00800160i 0.000929003 0.000338129i
\(561\) −52.1056 + 18.9649i −2.19990 + 0.800698i
\(562\) 6.93049 + 12.0040i 0.292345 + 0.506356i
\(563\) −3.30354 + 5.72191i −0.139228 + 0.241150i −0.927205 0.374555i \(-0.877795\pi\)
0.787977 + 0.615705i \(0.211129\pi\)
\(564\) −2.38722 + 13.5386i −0.100520 + 0.570078i
\(565\) −4.36139 + 3.65964i −0.183485 + 0.153962i
\(566\) 3.55467 + 2.98272i 0.149414 + 0.125373i
\(567\) −0.0929276 0.527019i −0.00390259 0.0221327i
\(568\) −12.0928 4.40141i −0.507402 0.184679i
\(569\) −18.2452 −0.764879 −0.382440 0.923980i \(-0.624916\pi\)
−0.382440 + 0.923980i \(0.624916\pi\)
\(570\) −13.4837 + 3.83165i −0.564768 + 0.160490i
\(571\) −4.61851 −0.193279 −0.0966393 0.995319i \(-0.530809\pi\)
−0.0966393 + 0.995319i \(0.530809\pi\)
\(572\) 3.22910 + 1.17530i 0.135015 + 0.0491416i
\(573\) −10.5330 59.7356i −0.440022 2.49549i
\(574\) 0.100412 + 0.0842558i 0.00419112 + 0.00351677i
\(575\) 3.43239 2.88011i 0.143140 0.120109i
\(576\) 1.27486 7.23007i 0.0531190 0.301253i
\(577\) 20.1637 34.9245i 0.839424 1.45393i −0.0509529 0.998701i \(-0.516226\pi\)
0.890377 0.455224i \(-0.150441\pi\)
\(578\) 23.3378 + 40.4223i 0.970725 + 1.68135i
\(579\) −53.7733 + 19.5719i −2.23474 + 0.813379i
\(580\) −7.09702 + 2.58310i −0.294688 + 0.107258i
\(581\) −0.0307453 0.0532524i −0.00127553 0.00220928i
\(582\) −17.9346 + 31.0636i −0.743412 + 1.28763i
\(583\) −1.41915 + 8.04841i −0.0587752 + 0.333331i
\(584\) 1.45670 1.22231i 0.0602785 0.0505797i
\(585\) −8.94382 7.50475i −0.369781 0.310283i
\(586\) −2.06055 11.6860i −0.0851207 0.482743i
\(587\) −14.3315 5.21623i −0.591523 0.215297i 0.0288761 0.999583i \(-0.490807\pi\)
−0.620399 + 0.784286i \(0.713029\pi\)
\(588\) 22.5091 0.928260
\(589\) 13.9518 + 13.5375i 0.574876 + 0.557803i
\(590\) 3.63338 0.149584
\(591\) 40.8344 + 14.8625i 1.67970 + 0.611363i
\(592\) −0.0675720 0.383220i −0.00277719 0.0157502i
\(593\) −30.6860 25.7487i −1.26012 1.05737i −0.995669 0.0929726i \(-0.970363\pi\)
−0.264456 0.964398i \(-0.585192\pi\)
\(594\) 23.1109 19.3923i 0.948251 0.795677i
\(595\) 0.0324177 0.183850i 0.00132900 0.00753711i
\(596\) −3.51704 + 6.09168i −0.144063 + 0.249525i
\(597\) 11.2814 + 19.5399i 0.461716 + 0.799716i
\(598\) −6.69585 + 2.43709i −0.273814 + 0.0996600i
\(599\) 25.5138 9.28628i 1.04247 0.379427i 0.236652 0.971594i \(-0.423950\pi\)
0.805815 + 0.592167i \(0.201728\pi\)
\(600\) −1.60792 2.78500i −0.0656430 0.113697i
\(601\) 12.9663 22.4583i 0.528907 0.916094i −0.470525 0.882387i \(-0.655935\pi\)
0.999432 0.0337070i \(-0.0107313\pi\)
\(602\) 0.0394210 0.223567i 0.00160668 0.00911193i
\(603\) 21.6911 18.2010i 0.883332 0.741203i
\(604\) −10.7890 9.05302i −0.438997 0.368362i
\(605\) −1.09934 6.23469i −0.0446947 0.253476i
\(606\) 56.3506 + 20.5099i 2.28908 + 0.833159i
\(607\) −15.2583 −0.619316 −0.309658 0.950848i \(-0.600215\pi\)
−0.309658 + 0.950848i \(0.600215\pi\)
\(608\) 3.97782 + 1.78240i 0.161322 + 0.0722859i
\(609\) 0.568211 0.0230251
\(610\) −10.8457 3.94752i −0.439131 0.159830i
\(611\) −1.18053 6.69510i −0.0477590 0.270855i
\(612\) −44.8778 37.6570i −1.81408 1.52219i
\(613\) −3.61626 + 3.03440i −0.146059 + 0.122558i −0.712890 0.701276i \(-0.752614\pi\)
0.566830 + 0.823835i \(0.308169\pi\)
\(614\) −1.81328 + 10.2836i −0.0731781 + 0.415013i
\(615\) 9.00889 15.6038i 0.363273 0.629208i
\(616\) −0.0252763 0.0437798i −0.00101841 0.00176394i
\(617\) −28.4553 + 10.3569i −1.14557 + 0.416953i −0.843922 0.536467i \(-0.819759\pi\)
−0.301647 + 0.953420i \(0.597537\pi\)
\(618\) −10.6851 + 3.88907i −0.429819 + 0.156441i
\(619\) 2.84795 + 4.93279i 0.114469 + 0.198266i 0.917567 0.397581i \(-0.130150\pi\)
−0.803099 + 0.595846i \(0.796817\pi\)
\(620\) −2.22993 + 3.86236i −0.0895563 + 0.155116i
\(621\) −10.8632 + 61.6082i −0.435925 + 2.47225i
\(622\) 11.2349 9.42721i 0.450479 0.377997i
\(623\) −0.159058 0.133465i −0.00637252 0.00534718i
\(624\) 0.888059 + 5.03643i 0.0355508 + 0.201619i
\(625\) −0.939693 0.342020i −0.0375877 0.0136808i
\(626\) 21.4779 0.858430
\(627\) 13.2131 + 27.2554i 0.527679 + 1.08847i
\(628\) 2.70828 0.108072
\(629\) −2.91789 1.06203i −0.116344 0.0423457i
\(630\) 0.0298254 + 0.169148i 0.00118827 + 0.00673903i
\(631\) −32.4485 27.2275i −1.29175 1.08391i −0.991508 0.130048i \(-0.958487\pi\)
−0.300246 0.953862i \(-0.597069\pi\)
\(632\) 7.28621 6.11386i 0.289830 0.243196i
\(633\) −3.97459 + 22.5410i −0.157976 + 0.895925i
\(634\) 5.90826 10.2334i 0.234647 0.406420i
\(635\) −4.33757 7.51289i −0.172131 0.298140i
\(636\) −11.4293 + 4.15993i −0.453202 + 0.164952i
\(637\) −10.4599 + 3.80709i −0.414436 + 0.150842i
\(638\) 8.15977 + 14.1331i 0.323049 + 0.559537i
\(639\) 47.2391 81.8206i 1.86875 3.23677i
\(640\) −0.173648 + 0.984808i −0.00686405 + 0.0389279i
\(641\) −20.8636 + 17.5066i −0.824062 + 0.691470i −0.953920 0.300063i \(-0.902992\pi\)
0.129858 + 0.991533i \(0.458548\pi\)
\(642\) 13.7773 + 11.5605i 0.543747 + 0.456258i
\(643\) −0.608700 3.45211i −0.0240048 0.136138i 0.970450 0.241302i \(-0.0775744\pi\)
−0.994455 + 0.105164i \(0.966463\pi\)
\(644\) 0.0985039 + 0.0358525i 0.00388160 + 0.00141279i
\(645\) −31.2051 −1.22870
\(646\) 28.1884 20.3777i 1.10906 0.801750i
\(647\) 44.9855 1.76856 0.884280 0.466956i \(-0.154649\pi\)
0.884280 + 0.466956i \(0.154649\pi\)
\(648\) 21.4949 + 7.82350i 0.844399 + 0.307336i
\(649\) −1.36332 7.73179i −0.0535151 0.303499i
\(650\) 1.21824 + 1.02222i 0.0477832 + 0.0400948i
\(651\) 0.257037 0.215679i 0.0100741 0.00845314i
\(652\) 2.39569 13.5866i 0.0938223 0.532093i
\(653\) −7.96033 + 13.7877i −0.311512 + 0.539555i −0.978690 0.205344i \(-0.934169\pi\)
0.667178 + 0.744898i \(0.267502\pi\)
\(654\) −15.1534 26.2464i −0.592543 1.02632i
\(655\) −19.4945 + 7.09542i −0.761713 + 0.277241i
\(656\) −5.26493 + 1.91628i −0.205561 + 0.0748181i
\(657\) 6.98034 + 12.0903i 0.272329 + 0.471687i
\(658\) −0.0500061 + 0.0866132i −0.00194944 + 0.00337653i
\(659\) 3.30453 18.7409i 0.128726 0.730042i −0.850299 0.526301i \(-0.823579\pi\)
0.979025 0.203741i \(-0.0653102\pi\)
\(660\) −5.32312 + 4.46663i −0.207202 + 0.173863i
\(661\) 17.6520 + 14.8118i 0.686583 + 0.576111i 0.917922 0.396762i \(-0.129866\pi\)
−0.231339 + 0.972873i \(0.574311\pi\)
\(662\) −3.08425 17.4916i −0.119873 0.679831i
\(663\) 38.3481 + 13.9576i 1.48932 + 0.542067i
\(664\) 2.62835 0.102000
\(665\) −0.101711 0.00735579i −0.00394419 0.000285245i
\(666\) 2.85685 0.110701
\(667\) −31.7994 11.5740i −1.23128 0.448148i
\(668\) 4.21348 + 23.8958i 0.163025 + 0.924558i
\(669\) 10.7409 + 9.01268i 0.415267 + 0.348450i
\(670\) −2.95455 + 2.47916i −0.114144 + 0.0957783i
\(671\) −4.33073 + 24.5608i −0.167186 + 0.948158i
\(672\) 0.0376174 0.0651553i 0.00145112 0.00251342i
\(673\) −5.68840 9.85260i −0.219272 0.379790i 0.735314 0.677727i \(-0.237035\pi\)
−0.954586 + 0.297937i \(0.903701\pi\)
\(674\) 2.24184 0.815962i 0.0863523 0.0314297i
\(675\) 13.1199 4.77525i 0.504985 0.183800i
\(676\) 5.23548 + 9.06812i 0.201365 + 0.348774i
\(677\) −20.8875 + 36.1782i −0.802771 + 1.39044i 0.115015 + 0.993364i \(0.463308\pi\)
−0.917786 + 0.397076i \(0.870025\pi\)
\(678\) −3.17933 + 18.0309i −0.122101 + 0.692471i
\(679\) −0.199897 + 0.167733i −0.00767134 + 0.00643701i
\(680\) 6.11281 + 5.12925i 0.234415 + 0.196698i
\(681\) −5.27501 29.9160i −0.202139 1.14639i
\(682\) 9.05578 + 3.29603i 0.346764 + 0.126212i
\(683\) 9.65205 0.369325 0.184663 0.982802i \(-0.440881\pi\)
0.184663 + 0.982802i \(0.440881\pi\)
\(684\) −17.9580 + 26.4876i −0.686643 + 1.01278i
\(685\) 5.96832 0.228038
\(686\) 0.307767 + 0.112018i 0.0117506 + 0.00427687i
\(687\) −12.7697 72.4208i −0.487196 2.76303i
\(688\) 7.43337 + 6.23734i 0.283395 + 0.237796i
\(689\) 4.60757 3.86621i 0.175535 0.147291i
\(690\) 2.50211 14.1902i 0.0952537 0.540211i
\(691\) 3.58223 6.20461i 0.136275 0.236034i −0.789809 0.613353i \(-0.789820\pi\)
0.926084 + 0.377318i \(0.123154\pi\)
\(692\) 9.68169 + 16.7692i 0.368043 + 0.637469i
\(693\) 0.348755 0.126936i 0.0132481 0.00482191i
\(694\) 14.4726 5.26759i 0.549372 0.199955i
\(695\) 7.04059 + 12.1947i 0.267065 + 0.462569i
\(696\) −12.1438 + 21.0337i −0.460309 + 0.797279i
\(697\) −7.76361 + 44.0296i −0.294068 + 1.66774i
\(698\) −7.54185 + 6.32836i −0.285463 + 0.239532i
\(699\) 26.0552 + 21.8629i 0.985498 + 0.826931i
\(700\) −0.00406252 0.0230397i −0.000153549 0.000870818i
\(701\) −5.58820 2.03394i −0.211063 0.0768208i 0.234325 0.972158i \(-0.424712\pi\)
−0.445388 + 0.895338i \(0.646934\pi\)
\(702\) −22.2035 −0.838019
\(703\) −0.414263 + 1.64482i −0.0156242 + 0.0620356i
\(704\) 2.16082 0.0814389
\(705\) 12.9184 + 4.70191i 0.486534 + 0.177084i
\(706\) 1.47838 + 8.38429i 0.0556394 + 0.315547i
\(707\) 0.334193 + 0.280421i 0.0125686 + 0.0105463i
\(708\) 8.95073 7.51056i 0.336389 0.282264i
\(709\) 6.60131 37.4379i 0.247918 1.40601i −0.565701 0.824611i \(-0.691394\pi\)
0.813618 0.581400i \(-0.197495\pi\)
\(710\) −6.43444 + 11.1448i −0.241480 + 0.418256i
\(711\) 34.9148 + 60.4742i 1.30941 + 2.26796i
\(712\) 8.33992 3.03548i 0.312552 0.113759i
\(713\) −18.7780 + 6.83465i −0.703243 + 0.255959i
\(714\) −0.300176 0.519920i −0.0112338 0.0194575i
\(715\) 1.71817 2.97595i 0.0642558 0.111294i
\(716\) 1.49206 8.46188i 0.0557608 0.316235i
\(717\) −42.7480 + 35.8698i −1.59645 + 1.33958i
\(718\) −24.1446 20.2597i −0.901069 0.756087i
\(719\) 1.48425 + 8.41760i 0.0553532 + 0.313923i 0.999895 0.0144667i \(-0.00460506\pi\)
−0.944542 + 0.328390i \(0.893494\pi\)
\(720\) −6.89886 2.51098i −0.257105 0.0935786i
\(721\) −0.0827228 −0.00308076
\(722\) −12.6461 14.1801i −0.470639 0.527730i
\(723\) 1.54330 0.0573958
\(724\) 3.94197 + 1.43476i 0.146502 + 0.0533225i
\(725\) 1.31148 + 7.43775i 0.0487070 + 0.276231i
\(726\) −15.5959 13.0865i −0.578819 0.485687i
\(727\) 6.42127 5.38809i 0.238152 0.199833i −0.515899 0.856650i \(-0.672542\pi\)
0.754050 + 0.656817i \(0.228097\pi\)
\(728\) −0.00646060 + 0.0366399i −0.000239446 + 0.00135796i
\(729\) −16.6186 + 28.7842i −0.615503 + 1.06608i
\(730\) −0.950791 1.64682i −0.0351904 0.0609515i
\(731\) 72.7620 26.4832i 2.69120 0.979516i
\(732\) −34.8781 + 12.6946i −1.28913 + 0.469205i
\(733\) 5.96195 + 10.3264i 0.220210 + 0.381414i 0.954872 0.297019i \(-0.0959925\pi\)
−0.734662 + 0.678433i \(0.762659\pi\)
\(734\) 3.48743 6.04040i 0.128723 0.222955i
\(735\) 3.90866 22.1671i 0.144173 0.817647i
\(736\) −3.43239 + 2.88011i −0.126519 + 0.106162i
\(737\) 6.38424 + 5.35701i 0.235166 + 0.197328i
\(738\) −7.14280 40.5088i −0.262930 1.49115i
\(739\) −23.9241 8.70767i −0.880063 0.320317i −0.137828 0.990456i \(-0.544012\pi\)
−0.742235 + 0.670140i \(0.766234\pi\)
\(740\) −0.389132 −0.0143048
\(741\) 5.44441 21.6169i 0.200005 0.794117i
\(742\) −0.0884842 −0.00324836
\(743\) −14.9949 5.45769i −0.550109 0.200223i 0.0519860 0.998648i \(-0.483445\pi\)
−0.602095 + 0.798425i \(0.705667\pi\)
\(744\) 2.49050 + 14.1243i 0.0913061 + 0.517823i
\(745\) 5.38841 + 4.52141i 0.197416 + 0.165652i
\(746\) −9.23447 + 7.74864i −0.338098 + 0.283698i
\(747\) −3.35077 + 19.0032i −0.122598 + 0.695289i
\(748\) 8.62134 14.9326i 0.315227 0.545990i
\(749\) 0.0654201 + 0.113311i 0.00239040 + 0.00414029i
\(750\) −3.02190 + 1.09988i −0.110344 + 0.0401620i
\(751\) 1.48505 0.540514i 0.0541903 0.0197237i −0.314783 0.949164i \(-0.601932\pi\)
0.368973 + 0.929440i \(0.379709\pi\)
\(752\) −2.13746 3.70219i −0.0779452 0.135005i
\(753\) 9.59055 16.6113i 0.349499 0.605350i
\(754\) 2.08563 11.8282i 0.0759543 0.430758i
\(755\) −10.7890 + 9.05302i −0.392651 + 0.329473i
\(756\) 0.250221 + 0.209960i 0.00910045 + 0.00763618i
\(757\) −3.33882 18.9354i −0.121351 0.688217i −0.983408 0.181406i \(-0.941935\pi\)
0.862057 0.506811i \(-0.169176\pi\)
\(758\) −6.41138 2.33355i −0.232872 0.0847584i
\(759\) −31.1354 −1.13014
\(760\) 2.44606 3.60788i 0.0887281 0.130871i
\(761\) 12.6228 0.457576 0.228788 0.973476i \(-0.426524\pi\)
0.228788 + 0.973476i \(0.426524\pi\)
\(762\) −26.2154 9.54161i −0.949683 0.345656i
\(763\) −0.0382860 0.217131i −0.00138605 0.00786067i
\(764\) 14.4491 + 12.1243i 0.522751 + 0.438640i
\(765\) −44.8778 + 37.6570i −1.62256 + 1.36149i
\(766\) −1.88011 + 10.6626i −0.0679310 + 0.385256i
\(767\) −2.88907 + 5.00402i −0.104318 + 0.180685i
\(768\) 1.60792 + 2.78500i 0.0580208 + 0.100495i
\(769\) 37.7534 13.7411i 1.36142 0.495518i 0.444929 0.895566i \(-0.353229\pi\)
0.916494 + 0.400048i \(0.131007\pi\)
\(770\) −0.0475039 + 0.0172900i −0.00171192 + 0.000623088i
\(771\) −21.7518 37.6753i −0.783373 1.35684i
\(772\) 8.89727