Properties

Label 588.2.x.b.55.14
Level $588$
Weight $2$
Character 588.55
Analytic conductor $4.695$
Analytic rank $0$
Dimension $168$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [588,2,Mod(55,588)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(588, base_ring=CyclotomicField(14))
 
chi = DirichletCharacter(H, H._module([7, 0, 9]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("588.55");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 588.x (of order \(14\), degree \(6\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(4.69520363885\)
Analytic rank: \(0\)
Dimension: \(168\)
Relative dimension: \(28\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 55.14
Character \(\chi\) \(=\) 588.55
Dual form 588.2.x.b.139.14

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.225403 - 1.39614i) q^{2} +(0.900969 + 0.433884i) q^{3} +(-1.89839 + 0.629386i) q^{4} +(1.60689 - 3.33674i) q^{5} +(0.402679 - 1.35567i) q^{6} +(2.64502 + 0.0624089i) q^{7} +(1.30661 + 2.50854i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})\) \(q+(-0.225403 - 1.39614i) q^{2} +(0.900969 + 0.433884i) q^{3} +(-1.89839 + 0.629386i) q^{4} +(1.60689 - 3.33674i) q^{5} +(0.402679 - 1.35567i) q^{6} +(2.64502 + 0.0624089i) q^{7} +(1.30661 + 2.50854i) q^{8} +(0.623490 + 0.781831i) q^{9} +(-5.02073 - 1.49132i) q^{10} +(4.25622 + 3.39422i) q^{11} +(-1.98347 - 0.256622i) q^{12} +(1.93445 + 1.54267i) q^{13} +(-0.509063 - 3.70687i) q^{14} +(2.89551 - 2.30909i) q^{15} +(3.20775 - 2.38964i) q^{16} +(-2.08167 - 0.475128i) q^{17} +(0.951006 - 1.04670i) q^{18} -5.74111 q^{19} +(-0.950400 + 7.34577i) q^{20} +(2.35600 + 1.20386i) q^{21} +(3.77943 - 6.70732i) q^{22} +(4.92574 - 1.12427i) q^{23} +(0.0888003 + 2.82703i) q^{24} +(-5.43428 - 6.81437i) q^{25} +(1.71775 - 3.04847i) q^{26} +(0.222521 + 0.974928i) q^{27} +(-5.06054 + 1.54626i) q^{28} +(-1.53568 + 6.72825i) q^{29} +(-3.87646 - 3.52205i) q^{30} -7.93095 q^{31} +(-4.05929 - 3.93982i) q^{32} +(2.36202 + 4.90479i) q^{33} +(-0.194128 + 3.01339i) q^{34} +(4.45848 - 8.72544i) q^{35} +(-1.67570 - 1.09180i) q^{36} +(0.513837 - 2.25127i) q^{37} +(1.29406 + 8.01537i) q^{38} +(1.07354 + 2.22922i) q^{39} +(10.4699 - 0.328872i) q^{40} +(4.38965 - 9.11520i) q^{41} +(1.14970 - 3.56064i) q^{42} +(-4.02926 - 8.36685i) q^{43} +(-10.2162 - 3.76474i) q^{44} +(3.61064 - 0.824106i) q^{45} +(-2.67991 - 6.62359i) q^{46} +(-3.62366 + 4.54393i) q^{47} +(3.92690 - 0.761199i) q^{48} +(6.99221 + 0.330145i) q^{49} +(-8.28888 + 9.12296i) q^{50} +(-1.66937 - 1.33128i) q^{51} +(-4.64326 - 1.71107i) q^{52} +(0.00314785 + 0.0137916i) q^{53} +(1.31097 - 0.530421i) q^{54} +(18.1649 - 8.74774i) q^{55} +(3.29945 + 6.71667i) q^{56} +(-5.17256 - 2.49097i) q^{57} +(9.73969 + 0.627448i) q^{58} +(-5.89671 + 2.83970i) q^{59} +(-4.04349 + 6.20595i) q^{60} +(-0.318289 - 0.0726475i) q^{61} +(1.78766 + 11.0727i) q^{62} +(1.60035 + 2.10687i) q^{63} +(-4.58554 + 6.55537i) q^{64} +(8.25592 - 3.97584i) q^{65} +(6.31534 - 4.40326i) q^{66} -5.13303i q^{67} +(4.25086 - 0.408198i) q^{68} +(4.92574 + 1.12427i) q^{69} +(-13.1868 - 4.25791i) q^{70} +(-4.47445 + 1.02126i) q^{71} +(-1.14660 + 2.58560i) q^{72} +(-7.14065 + 5.69448i) q^{73} +(-3.25889 - 0.209944i) q^{74} +(-1.93947 - 8.49738i) q^{75} +(10.8988 - 3.61337i) q^{76} +(11.0459 + 9.24339i) q^{77} +(2.87032 - 2.00128i) q^{78} +3.91110i q^{79} +(-2.81910 - 14.5433i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(-13.7155 - 4.07395i) q^{82} +(-3.06742 - 3.84642i) q^{83} +(-5.23029 - 0.802555i) q^{84} +(-4.93039 + 6.18252i) q^{85} +(-10.7730 + 7.51131i) q^{86} +(-4.30288 + 5.39564i) q^{87} +(-2.95332 + 15.1118i) q^{88} +(-12.7313 + 10.1529i) q^{89} +(-1.96441 - 4.85519i) q^{90} +(5.02037 + 4.20111i) q^{91} +(-8.64337 + 5.23449i) q^{92} +(-7.14554 - 3.44111i) q^{93} +(7.16073 + 4.03491i) q^{94} +(-9.22532 + 19.1566i) q^{95} +(-1.94787 - 5.31091i) q^{96} +10.0633i q^{97} +(-1.11514 - 9.83649i) q^{98} +5.44390i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 168 q + 28 q^{3} - 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 168 q + 28 q^{3} - 2 q^{7} + 6 q^{8} - 28 q^{9} - 20 q^{10} + 14 q^{14} - 20 q^{16} - 12 q^{19} + 25 q^{20} + 2 q^{21} - 6 q^{22} - 27 q^{24} + 32 q^{25} - 6 q^{26} + 28 q^{27} + 6 q^{28} - 8 q^{30} + 4 q^{31} - 45 q^{32} - 44 q^{34} + 12 q^{35} - 10 q^{37} - 35 q^{38} - 14 q^{39} + 40 q^{40} + 7 q^{42} + 20 q^{44} + 28 q^{46} + 8 q^{47} - 8 q^{48} - 8 q^{49} + 114 q^{50} - 20 q^{52} - 8 q^{53} + 23 q^{56} + 12 q^{57} - 6 q^{58} - 20 q^{59} + 10 q^{60} - 14 q^{61} + 16 q^{62} + 12 q^{63} - 42 q^{64} - 8 q^{65} + 6 q^{66} + 16 q^{68} + 19 q^{70} - 28 q^{71} - 15 q^{72} + 22 q^{74} - 18 q^{75} - 49 q^{76} + 8 q^{77} + 6 q^{78} - 26 q^{80} - 28 q^{81} - 12 q^{82} - 10 q^{83} - 27 q^{84} - 24 q^{85} - 34 q^{86} + 94 q^{88} - 20 q^{90} + 16 q^{91} + 7 q^{92} - 4 q^{93} + 11 q^{94} + 10 q^{96} - 150 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(493\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{9}{14}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.225403 1.39614i −0.159384 0.987217i
\(3\) 0.900969 + 0.433884i 0.520175 + 0.250503i
\(4\) −1.89839 + 0.629386i −0.949194 + 0.314693i
\(5\) 1.60689 3.33674i 0.718622 1.49223i −0.145718 0.989326i \(-0.546549\pi\)
0.864340 0.502908i \(-0.167737\pi\)
\(6\) 0.402679 1.35567i 0.164393 0.553451i
\(7\) 2.64502 + 0.0624089i 0.999722 + 0.0235883i
\(8\) 1.30661 + 2.50854i 0.461956 + 0.886903i
\(9\) 0.623490 + 0.781831i 0.207830 + 0.260610i
\(10\) −5.02073 1.49132i −1.58770 0.471598i
\(11\) 4.25622 + 3.39422i 1.28330 + 1.02340i 0.997886 + 0.0649905i \(0.0207017\pi\)
0.285412 + 0.958405i \(0.407870\pi\)
\(12\) −1.98347 0.256622i −0.572578 0.0740804i
\(13\) 1.93445 + 1.54267i 0.536519 + 0.427860i 0.853899 0.520439i \(-0.174232\pi\)
−0.317380 + 0.948298i \(0.602803\pi\)
\(14\) −0.509063 3.70687i −0.136053 0.990702i
\(15\) 2.89551 2.30909i 0.747618 0.596205i
\(16\) 3.20775 2.38964i 0.801937 0.597409i
\(17\) −2.08167 0.475128i −0.504880 0.115236i −0.0375079 0.999296i \(-0.511942\pi\)
−0.467372 + 0.884061i \(0.654799\pi\)
\(18\) 0.951006 1.04670i 0.224154 0.246710i
\(19\) −5.74111 −1.31710 −0.658551 0.752536i \(-0.728830\pi\)
−0.658551 + 0.752536i \(0.728830\pi\)
\(20\) −0.950400 + 7.34577i −0.212516 + 1.64256i
\(21\) 2.35600 + 1.20386i 0.514121 + 0.262703i
\(22\) 3.77943 6.70732i 0.805776 1.43001i
\(23\) 4.92574 1.12427i 1.02709 0.234426i 0.324397 0.945921i \(-0.394839\pi\)
0.702691 + 0.711495i \(0.251982\pi\)
\(24\) 0.0888003 + 2.82703i 0.0181263 + 0.577066i
\(25\) −5.43428 6.81437i −1.08686 1.36287i
\(26\) 1.71775 3.04847i 0.336878 0.597855i
\(27\) 0.222521 + 0.974928i 0.0428242 + 0.187625i
\(28\) −5.06054 + 1.54626i −0.956352 + 0.292216i
\(29\) −1.53568 + 6.72825i −0.285168 + 1.24940i 0.605902 + 0.795539i \(0.292812\pi\)
−0.891070 + 0.453865i \(0.850045\pi\)
\(30\) −3.87646 3.52205i −0.707742 0.643035i
\(31\) −7.93095 −1.42444 −0.712220 0.701956i \(-0.752310\pi\)
−0.712220 + 0.701956i \(0.752310\pi\)
\(32\) −4.05929 3.93982i −0.717588 0.696468i
\(33\) 2.36202 + 4.90479i 0.411175 + 0.853814i
\(34\) −0.194128 + 3.01339i −0.0332927 + 0.516792i
\(35\) 4.45848 8.72544i 0.753621 1.47487i
\(36\) −1.67570 1.09180i −0.279283 0.181967i
\(37\) 0.513837 2.25127i 0.0844742 0.370106i −0.914967 0.403528i \(-0.867784\pi\)
0.999441 + 0.0334227i \(0.0106408\pi\)
\(38\) 1.29406 + 8.01537i 0.209925 + 1.30026i
\(39\) 1.07354 + 2.22922i 0.171904 + 0.356961i
\(40\) 10.4699 0.328872i 1.65544 0.0519992i
\(41\) 4.38965 9.11520i 0.685548 1.42356i −0.209600 0.977787i \(-0.567216\pi\)
0.895148 0.445768i \(-0.147070\pi\)
\(42\) 1.14970 3.56064i 0.177402 0.549419i
\(43\) −4.02926 8.36685i −0.614457 1.27593i −0.943423 0.331591i \(-0.892415\pi\)
0.328966 0.944342i \(-0.393300\pi\)
\(44\) −10.2162 3.76474i −1.54015 0.567556i
\(45\) 3.61064 0.824106i 0.538243 0.122850i
\(46\) −2.67991 6.62359i −0.395131 0.976595i
\(47\) −3.62366 + 4.54393i −0.528566 + 0.662800i −0.972403 0.233307i \(-0.925045\pi\)
0.443837 + 0.896107i \(0.353617\pi\)
\(48\) 3.92690 0.761199i 0.566800 0.109870i
\(49\) 6.99221 + 0.330145i 0.998887 + 0.0471635i
\(50\) −8.28888 + 9.12296i −1.17222 + 1.29018i
\(51\) −1.66937 1.33128i −0.233759 0.186416i
\(52\) −4.64326 1.71107i −0.643905 0.237283i
\(53\) 0.00314785 + 0.0137916i 0.000432390 + 0.00189442i 0.975144 0.221574i \(-0.0711193\pi\)
−0.974711 + 0.223468i \(0.928262\pi\)
\(54\) 1.31097 0.530421i 0.178401 0.0721811i
\(55\) 18.1649 8.74774i 2.44935 1.17955i
\(56\) 3.29945 + 6.71667i 0.440907 + 0.897553i
\(57\) −5.17256 2.49097i −0.685123 0.329938i
\(58\) 9.73969 + 0.627448i 1.27888 + 0.0823880i
\(59\) −5.89671 + 2.83970i −0.767686 + 0.369698i −0.776381 0.630264i \(-0.782947\pi\)
0.00869503 + 0.999962i \(0.497232\pi\)
\(60\) −4.04349 + 6.20595i −0.522012 + 0.801184i
\(61\) −0.318289 0.0726475i −0.0407528 0.00930156i 0.202096 0.979366i \(-0.435225\pi\)
−0.242849 + 0.970064i \(0.578082\pi\)
\(62\) 1.78766 + 11.0727i 0.227033 + 1.40623i
\(63\) 1.60035 + 2.10687i 0.201625 + 0.265440i
\(64\) −4.58554 + 6.55537i −0.573193 + 0.819421i
\(65\) 8.25592 3.97584i 1.02402 0.493143i
\(66\) 6.31534 4.40326i 0.777365 0.542003i
\(67\) 5.13303i 0.627099i −0.949572 0.313549i \(-0.898482\pi\)
0.949572 0.313549i \(-0.101518\pi\)
\(68\) 4.25086 0.408198i 0.515492 0.0495013i
\(69\) 4.92574 + 1.12427i 0.592990 + 0.135346i
\(70\) −13.1868 4.25791i −1.57613 0.508917i
\(71\) −4.47445 + 1.02126i −0.531020 + 0.121202i −0.479620 0.877476i \(-0.659225\pi\)
−0.0513998 + 0.998678i \(0.516368\pi\)
\(72\) −1.14660 + 2.58560i −0.135128 + 0.304716i
\(73\) −7.14065 + 5.69448i −0.835750 + 0.666488i −0.944836 0.327544i \(-0.893779\pi\)
0.109086 + 0.994032i \(0.465208\pi\)
\(74\) −3.25889 0.209944i −0.378838 0.0244054i
\(75\) −1.93947 8.49738i −0.223951 0.981193i
\(76\) 10.8988 3.61337i 1.25018 0.414482i
\(77\) 11.0459 + 9.24339i 1.25880 + 1.05338i
\(78\) 2.87032 2.00128i 0.325000 0.226600i
\(79\) 3.91110i 0.440033i 0.975496 + 0.220016i \(0.0706111\pi\)
−0.975496 + 0.220016i \(0.929389\pi\)
\(80\) −2.81910 14.5433i −0.315185 1.62599i
\(81\) −0.222521 + 0.974928i −0.0247245 + 0.108325i
\(82\) −13.7155 4.07395i −1.51462 0.449893i
\(83\) −3.06742 3.84642i −0.336693 0.422200i 0.584447 0.811432i \(-0.301312\pi\)
−0.921140 + 0.389233i \(0.872740\pi\)
\(84\) −5.23029 0.802555i −0.570671 0.0875660i
\(85\) −4.93039 + 6.18252i −0.534776 + 0.670588i
\(86\) −10.7730 + 7.51131i −1.16169 + 0.809965i
\(87\) −4.30288 + 5.39564i −0.461317 + 0.578473i
\(88\) −2.95332 + 15.1118i −0.314825 + 1.61092i
\(89\) −12.7313 + 10.1529i −1.34952 + 1.07621i −0.359824 + 0.933020i \(0.617163\pi\)
−0.989696 + 0.143186i \(0.954265\pi\)
\(90\) −1.96441 4.85519i −0.207067 0.511782i
\(91\) 5.02037 + 4.20111i 0.526277 + 0.440396i
\(92\) −8.64337 + 5.23449i −0.901133 + 0.545733i
\(93\) −7.14554 3.44111i −0.740958 0.356826i
\(94\) 7.16073 + 4.03491i 0.738573 + 0.416169i
\(95\) −9.22532 + 19.1566i −0.946498 + 1.96542i
\(96\) −1.94787 5.31091i −0.198804 0.542043i
\(97\) 10.0633i 1.02178i 0.859648 + 0.510888i \(0.170683\pi\)
−0.859648 + 0.510888i \(0.829317\pi\)
\(98\) −1.11514 9.83649i −0.112646 0.993635i
\(99\) 5.44390i 0.547133i
\(100\) 14.6052 + 9.51605i 1.46052 + 0.951605i
\(101\) −1.34776 + 2.79865i −0.134107 + 0.278476i −0.957198 0.289433i \(-0.906533\pi\)
0.823091 + 0.567909i \(0.192248\pi\)
\(102\) −1.48237 + 2.63074i −0.146776 + 0.260482i
\(103\) −8.41789 4.05384i −0.829439 0.399437i −0.0295344 0.999564i \(-0.509402\pi\)
−0.799905 + 0.600127i \(0.795117\pi\)
\(104\) −1.34228 + 6.86830i −0.131621 + 0.673493i
\(105\) 7.80278 5.92688i 0.761473 0.578404i
\(106\) 0.0185454 0.00750349i 0.00180129 0.000728803i
\(107\) 9.10233 7.25887i 0.879956 0.701741i −0.0754144 0.997152i \(-0.524028\pi\)
0.955370 + 0.295411i \(0.0954565\pi\)
\(108\) −1.03604 1.71074i −0.0996927 0.164616i
\(109\) −1.16986 + 1.46695i −0.112052 + 0.140509i −0.834695 0.550713i \(-0.814356\pi\)
0.722643 + 0.691222i \(0.242927\pi\)
\(110\) −16.3075 23.3889i −1.55485 2.23004i
\(111\) 1.43974 1.80537i 0.136654 0.171359i
\(112\) 8.63367 6.12043i 0.815805 0.578326i
\(113\) 4.28533 + 5.37364i 0.403130 + 0.505509i 0.941413 0.337255i \(-0.109498\pi\)
−0.538283 + 0.842764i \(0.680927\pi\)
\(114\) −2.31183 + 7.78307i −0.216522 + 0.728951i
\(115\) 4.16373 18.2425i 0.388270 1.70112i
\(116\) −1.31935 13.7394i −0.122499 1.27567i
\(117\) 2.47425i 0.228745i
\(118\) 5.29374 + 7.59252i 0.487329 + 0.698948i
\(119\) −5.47640 1.38664i −0.502021 0.127113i
\(120\) 9.57576 + 4.24642i 0.874143 + 0.387643i
\(121\) 4.14692 + 18.1689i 0.376993 + 1.65171i
\(122\) −0.0296823 + 0.460750i −0.00268731 + 0.0417143i
\(123\) 7.90988 6.30792i 0.713210 0.568766i
\(124\) 15.0560 4.99163i 1.35207 0.448261i
\(125\) −13.4168 + 3.06230i −1.20004 + 0.273900i
\(126\) 2.58075 2.70919i 0.229911 0.241354i
\(127\) 5.88984 + 1.34432i 0.522639 + 0.119289i 0.475698 0.879609i \(-0.342196\pi\)
0.0469410 + 0.998898i \(0.485053\pi\)
\(128\) 10.1858 + 4.92444i 0.900303 + 0.435263i
\(129\) 9.28650i 0.817631i
\(130\) −7.41172 10.6302i −0.650051 0.932332i
\(131\) 10.0863 4.85728i 0.881240 0.424383i 0.0621627 0.998066i \(-0.480200\pi\)
0.819077 + 0.573683i \(0.194486\pi\)
\(132\) −7.57104 7.82456i −0.658974 0.681041i
\(133\) −15.1853 0.358296i −1.31673 0.0310682i
\(134\) −7.16640 + 1.15700i −0.619082 + 0.0999495i
\(135\) 3.61064 + 0.824106i 0.310755 + 0.0709278i
\(136\) −1.52806 5.84277i −0.131030 0.501013i
\(137\) 8.56833 4.12629i 0.732042 0.352533i −0.0304449 0.999536i \(-0.509692\pi\)
0.762487 + 0.647004i \(0.223978\pi\)
\(138\) 0.459354 7.13042i 0.0391028 0.606981i
\(139\) −1.14782 0.552762i −0.0973570 0.0468847i 0.384571 0.923095i \(-0.374349\pi\)
−0.481929 + 0.876211i \(0.660064\pi\)
\(140\) −2.97226 + 19.3704i −0.251202 + 1.63709i
\(141\) −5.23635 + 2.52169i −0.440980 + 0.212365i
\(142\) 2.43438 + 6.01674i 0.204288 + 0.504914i
\(143\) 2.99726 + 13.1319i 0.250644 + 1.09814i
\(144\) 3.86829 + 1.01800i 0.322358 + 0.0848336i
\(145\) 19.9827 + 15.9357i 1.65948 + 1.32339i
\(146\) 9.55979 + 8.68576i 0.791173 + 0.718839i
\(147\) 6.15652 + 3.33126i 0.507781 + 0.274757i
\(148\) 0.441454 + 4.59717i 0.0362873 + 0.377885i
\(149\) −6.74873 + 8.46264i −0.552878 + 0.693287i −0.977223 0.212214i \(-0.931933\pi\)
0.424346 + 0.905500i \(0.360504\pi\)
\(150\) −11.4263 + 4.62310i −0.932955 + 0.377474i
\(151\) 12.1249 2.76744i 0.986714 0.225211i 0.301431 0.953488i \(-0.402536\pi\)
0.685283 + 0.728277i \(0.259679\pi\)
\(152\) −7.50139 14.4018i −0.608443 1.16814i
\(153\) −0.926431 1.92375i −0.0748975 0.155526i
\(154\) 10.4152 17.5051i 0.839283 1.41060i
\(155\) −12.7441 + 26.4635i −1.02363 + 2.12560i
\(156\) −3.44103 3.55626i −0.275503 0.284729i
\(157\) −9.57211 19.8767i −0.763938 1.58633i −0.809323 0.587363i \(-0.800166\pi\)
0.0453856 0.998970i \(-0.485548\pi\)
\(158\) 5.46042 0.881572i 0.434408 0.0701341i
\(159\) −0.00314785 + 0.0137916i −0.000249640 + 0.00109375i
\(160\) −19.6690 + 7.21394i −1.55497 + 0.570312i
\(161\) 13.0988 2.66630i 1.03233 0.210134i
\(162\) 1.41129 + 0.0909177i 0.110881 + 0.00714317i
\(163\) −0.351907 0.730742i −0.0275635 0.0572361i 0.886733 0.462283i \(-0.152970\pi\)
−0.914296 + 0.405047i \(0.867255\pi\)
\(164\) −2.59627 + 20.0670i −0.202735 + 1.56697i
\(165\) 20.1615 1.56957
\(166\) −4.67872 + 5.14953i −0.363139 + 0.399681i
\(167\) −2.03904 + 8.93363i −0.157786 + 0.691305i 0.832704 + 0.553719i \(0.186792\pi\)
−0.990490 + 0.137587i \(0.956065\pi\)
\(168\) 0.0584462 + 7.48309i 0.00450923 + 0.577333i
\(169\) −1.53052 6.70564i −0.117732 0.515818i
\(170\) 9.74295 + 5.48994i 0.747250 + 0.421059i
\(171\) −3.57952 4.48858i −0.273733 0.343250i
\(172\) 12.9151 + 13.3476i 0.984765 + 1.01774i
\(173\) 11.4088 2.60400i 0.867399 0.197978i 0.234409 0.972138i \(-0.424685\pi\)
0.632990 + 0.774160i \(0.281827\pi\)
\(174\) 8.50292 + 4.79121i 0.644605 + 0.363220i
\(175\) −13.9485 18.3633i −1.05440 1.38813i
\(176\) 21.7638 + 0.716987i 1.64051 + 0.0540449i
\(177\) −6.54485 −0.491941
\(178\) 17.0445 + 15.4862i 1.27754 + 1.16074i
\(179\) 10.7851 + 2.46164i 0.806120 + 0.183992i 0.605674 0.795713i \(-0.292904\pi\)
0.200446 + 0.979705i \(0.435761\pi\)
\(180\) −6.33572 + 3.83696i −0.472237 + 0.285990i
\(181\) −5.12226 + 4.08486i −0.380734 + 0.303625i −0.795092 0.606489i \(-0.792578\pi\)
0.414358 + 0.910114i \(0.364006\pi\)
\(182\) 4.73372 7.95605i 0.350886 0.589742i
\(183\) −0.255248 0.203554i −0.0188685 0.0150471i
\(184\) 9.25630 + 10.8874i 0.682383 + 0.802633i
\(185\) −6.68620 5.33207i −0.491579 0.392021i
\(186\) −3.19363 + 10.7518i −0.234168 + 0.788358i
\(187\) −7.24736 9.08790i −0.529979 0.664573i
\(188\) 4.01923 10.9068i 0.293133 0.795462i
\(189\) 0.527727 + 2.59259i 0.0383865 + 0.188583i
\(190\) 28.8246 + 8.56185i 2.09116 + 0.621142i
\(191\) −2.57918 + 5.35572i −0.186623 + 0.387526i −0.973198 0.229968i \(-0.926138\pi\)
0.786575 + 0.617494i \(0.211852\pi\)
\(192\) −6.97570 + 3.91659i −0.503428 + 0.282655i
\(193\) 1.97841 + 0.952753i 0.142409 + 0.0685807i 0.503731 0.863860i \(-0.331960\pi\)
−0.361322 + 0.932441i \(0.617674\pi\)
\(194\) 14.0498 2.26830i 1.00871 0.162855i
\(195\) 9.16338 0.656204
\(196\) −13.4817 + 3.77406i −0.962979 + 0.269575i
\(197\) 21.3667 1.52231 0.761156 0.648569i \(-0.224632\pi\)
0.761156 + 0.648569i \(0.224632\pi\)
\(198\) 7.60043 1.22707i 0.540139 0.0872042i
\(199\) −1.92603 0.927527i −0.136533 0.0657507i 0.364370 0.931254i \(-0.381284\pi\)
−0.500903 + 0.865504i \(0.666999\pi\)
\(200\) 9.99363 22.5358i 0.706656 1.59352i
\(201\) 2.22714 4.62470i 0.157090 0.326201i
\(202\) 4.21108 + 1.25083i 0.296291 + 0.0880081i
\(203\) −4.48180 + 17.7005i −0.314560 + 1.24233i
\(204\) 4.00700 + 1.47660i 0.280546 + 0.103383i
\(205\) −23.3614 29.2942i −1.63163 2.04600i
\(206\) −3.76229 + 12.6663i −0.262131 + 0.882500i
\(207\) 3.95014 + 3.15013i 0.274554 + 0.218949i
\(208\) 9.89164 + 0.325870i 0.685862 + 0.0225950i
\(209\) −24.4354 19.4866i −1.69023 1.34792i
\(210\) −10.0335 9.55780i −0.692377 0.659551i
\(211\) −20.2921 + 16.1824i −1.39697 + 1.11404i −0.418365 + 0.908279i \(0.637397\pi\)
−0.978602 + 0.205765i \(0.934032\pi\)
\(212\) −0.0146561 0.0242006i −0.00100658 0.00166210i
\(213\) −4.47445 1.02126i −0.306584 0.0699759i
\(214\) −12.1861 11.0719i −0.833022 0.756861i
\(215\) −34.3926 −2.34555
\(216\) −2.15490 + 1.83205i −0.146622 + 0.124655i
\(217\) −20.9775 0.494962i −1.42404 0.0336002i
\(218\) 2.31176 + 1.30262i 0.156572 + 0.0882248i
\(219\) −8.90425 + 2.03234i −0.601693 + 0.137333i
\(220\) −28.9783 + 28.0393i −1.95371 + 1.89041i
\(221\) −3.29392 4.13044i −0.221573 0.277844i
\(222\) −2.84507 1.60313i −0.190948 0.107595i
\(223\) 3.61196 + 15.8250i 0.241875 + 1.05972i 0.939308 + 0.343074i \(0.111468\pi\)
−0.697433 + 0.716650i \(0.745675\pi\)
\(224\) −10.4910 10.6742i −0.700960 0.713201i
\(225\) 1.93947 8.49738i 0.129298 0.566492i
\(226\) 6.53640 7.19414i 0.434795 0.478547i
\(227\) 25.9443 1.72198 0.860991 0.508620i \(-0.169844\pi\)
0.860991 + 0.508620i \(0.169844\pi\)
\(228\) 11.3873 + 1.47330i 0.754143 + 0.0975714i
\(229\) 0.692696 + 1.43840i 0.0457746 + 0.0950520i 0.922602 0.385754i \(-0.126059\pi\)
−0.876827 + 0.480806i \(0.840344\pi\)
\(230\) −26.4075 1.70122i −1.74126 0.112175i
\(231\) 5.94148 + 13.1207i 0.390921 + 0.863275i
\(232\) −18.8846 + 4.93888i −1.23984 + 0.324254i
\(233\) 0.00248081 0.0108691i 0.000162523 0.000712060i −0.974847 0.222877i \(-0.928455\pi\)
0.975009 + 0.222165i \(0.0713123\pi\)
\(234\) 3.45439 0.557703i 0.225820 0.0364582i
\(235\) 9.33908 + 19.3928i 0.609214 + 1.26505i
\(236\) 9.40696 9.10216i 0.612341 0.592500i
\(237\) −1.69696 + 3.52378i −0.110229 + 0.228894i
\(238\) −0.701534 + 7.95835i −0.0454737 + 0.515863i
\(239\) −4.86370 10.0996i −0.314607 0.653287i 0.682369 0.731008i \(-0.260950\pi\)
−0.996975 + 0.0777211i \(0.975236\pi\)
\(240\) 3.77017 14.3262i 0.243364 0.924753i
\(241\) −2.43216 + 0.555124i −0.156669 + 0.0357587i −0.300136 0.953896i \(-0.597032\pi\)
0.143467 + 0.989655i \(0.454175\pi\)
\(242\) 24.4314 9.88498i 1.57051 0.635430i
\(243\) −0.623490 + 0.781831i −0.0399969 + 0.0501545i
\(244\) 0.649960 0.0624138i 0.0416094 0.00399564i
\(245\) 12.3373 22.8007i 0.788201 1.45668i
\(246\) −10.5896 9.62144i −0.675169 0.613440i
\(247\) −11.1059 8.85664i −0.706650 0.563534i
\(248\) −10.3627 19.8951i −0.658029 1.26334i
\(249\) −1.09475 4.79641i −0.0693769 0.303960i
\(250\) 7.29957 + 18.0414i 0.461665 + 1.14104i
\(251\) −0.147759 + 0.0711571i −0.00932648 + 0.00449140i −0.438541 0.898711i \(-0.644505\pi\)
0.429215 + 0.903202i \(0.358790\pi\)
\(252\) −4.36411 2.99241i −0.274913 0.188504i
\(253\) 24.7810 + 11.9339i 1.55797 + 0.750279i
\(254\) 0.549262 8.52603i 0.0344638 0.534970i
\(255\) −7.12462 + 3.43104i −0.446161 + 0.214860i
\(256\) 4.57928 15.3307i 0.286205 0.958168i
\(257\) −29.0426 6.62877i −1.81163 0.413492i −0.823522 0.567284i \(-0.807994\pi\)
−0.988103 + 0.153793i \(0.950851\pi\)
\(258\) −12.9652 + 2.09320i −0.807179 + 0.130317i
\(259\) 1.49960 5.92256i 0.0931809 0.368010i
\(260\) −13.1706 + 12.7439i −0.816806 + 0.790340i
\(261\) −6.21784 + 2.99435i −0.384874 + 0.185346i
\(262\) −9.05489 12.9869i −0.559413 0.802335i
\(263\) 5.94951i 0.366863i −0.983033 0.183431i \(-0.941279\pi\)
0.983033 0.183431i \(-0.0587205\pi\)
\(264\) −9.21762 + 12.3339i −0.567305 + 0.759097i
\(265\) 0.0510772 + 0.0116580i 0.00313765 + 0.000716148i
\(266\) 2.92259 + 21.2815i 0.179195 + 1.30485i
\(267\) −15.8757 + 3.62353i −0.971579 + 0.221756i
\(268\) 3.23065 + 9.74447i 0.197344 + 0.595238i
\(269\) 24.2778 19.3609i 1.48024 1.18046i 0.539197 0.842180i \(-0.318728\pi\)
0.941047 0.338276i \(-0.109844\pi\)
\(270\) 0.336714 5.22670i 0.0204917 0.318087i
\(271\) −5.76556 25.2606i −0.350233 1.53447i −0.776644 0.629940i \(-0.783080\pi\)
0.426411 0.904529i \(-0.359778\pi\)
\(272\) −7.81286 + 3.45035i −0.473724 + 0.209208i
\(273\) 2.70040 + 5.96333i 0.163436 + 0.360917i
\(274\) −7.69219 11.0325i −0.464702 0.666496i
\(275\) 47.4485i 2.86125i
\(276\) −10.0586 + 0.965896i −0.605454 + 0.0581401i
\(277\) −5.96100 + 26.1169i −0.358162 + 1.56921i 0.399607 + 0.916687i \(0.369147\pi\)
−0.757769 + 0.652523i \(0.773710\pi\)
\(278\) −0.513008 + 1.72711i −0.0307682 + 0.103585i
\(279\) −4.94487 6.20067i −0.296041 0.371224i
\(280\) 27.7136 0.216456i 1.65620 0.0129357i
\(281\) 12.4022 15.5518i 0.739852 0.927745i −0.259425 0.965763i \(-0.583533\pi\)
0.999277 + 0.0380181i \(0.0121044\pi\)
\(282\) 4.70091 + 6.74225i 0.279935 + 0.401495i
\(283\) −6.40666 + 8.03369i −0.380836 + 0.477554i −0.934895 0.354924i \(-0.884507\pi\)
0.554059 + 0.832477i \(0.313078\pi\)
\(284\) 7.85147 4.75491i 0.465899 0.282152i
\(285\) −16.6235 + 13.2568i −0.984688 + 0.785263i
\(286\) 17.6583 7.14455i 1.04416 0.422466i
\(287\) 12.1796 23.8359i 0.718937 1.40699i
\(288\) 0.549347 5.63012i 0.0323706 0.331758i
\(289\) −11.2089 5.39790i −0.659345 0.317524i
\(290\) 17.7442 31.4905i 1.04198 1.84919i
\(291\) −4.36631 + 9.06674i −0.255958 + 0.531502i
\(292\) 9.97169 15.3045i 0.583549 0.895631i
\(293\) 4.27345i 0.249658i −0.992178 0.124829i \(-0.960162\pi\)
0.992178 0.124829i \(-0.0398382\pi\)
\(294\) 3.26319 9.34621i 0.190313 0.545082i
\(295\) 24.2388i 1.41124i
\(296\) 6.31877 1.65255i 0.367271 0.0960523i
\(297\) −2.36202 + 4.90479i −0.137058 + 0.284605i
\(298\) 13.3362 + 7.51464i 0.772544 + 0.435311i
\(299\) 11.2630 + 5.42396i 0.651354 + 0.313676i
\(300\) 9.03000 + 14.9106i 0.521347 + 0.860866i
\(301\) −10.1353 22.3819i −0.584189 1.29007i
\(302\) −6.59672 16.3043i −0.379598 0.938205i
\(303\) −2.42858 + 1.93673i −0.139518 + 0.111262i
\(304\) −18.4160 + 13.7192i −1.05623 + 0.786848i
\(305\) −0.753861 + 0.945312i −0.0431660 + 0.0541284i
\(306\) −2.47700 + 1.72704i −0.141601 + 0.0987285i
\(307\) 14.7618 18.5107i 0.842501 1.05646i −0.155145 0.987892i \(-0.549585\pi\)
0.997646 0.0685710i \(-0.0218440\pi\)
\(308\) −26.7871 10.5954i −1.52634 0.603727i
\(309\) −5.82536 7.30477i −0.331393 0.415554i
\(310\) 39.8192 + 11.8276i 2.26158 + 0.671763i
\(311\) −1.61731 + 7.08590i −0.0917093 + 0.401805i −0.999858 0.0168428i \(-0.994639\pi\)
0.908149 + 0.418647i \(0.137496\pi\)
\(312\) −4.18940 + 5.60573i −0.237178 + 0.317362i
\(313\) 5.48870i 0.310240i −0.987896 0.155120i \(-0.950424\pi\)
0.987896 0.155120i \(-0.0495764\pi\)
\(314\) −25.5930 + 17.8442i −1.44429 + 1.00701i
\(315\) 9.60164 1.95444i 0.540991 0.110120i
\(316\) −2.46159 7.42477i −0.138475 0.417676i
\(317\) 7.61891 + 33.3806i 0.427921 + 1.87484i 0.481776 + 0.876295i \(0.339992\pi\)
−0.0538550 + 0.998549i \(0.517151\pi\)
\(318\) 0.0199645 + 0.00128615i 0.00111955 + 7.21236e-5i
\(319\) −29.3733 + 23.4244i −1.64459 + 1.31152i
\(320\) 14.5051 + 25.8345i 0.810859 + 1.44419i
\(321\) 11.3504 2.59066i 0.633519 0.144597i
\(322\) −6.67503 17.6867i −0.371985 0.985644i
\(323\) 11.9511 + 2.72776i 0.664978 + 0.151777i
\(324\) −0.191175 1.99084i −0.0106208 0.110602i
\(325\) 21.5653i 1.19623i
\(326\) −0.940893 + 0.656021i −0.0521113 + 0.0363336i
\(327\) −1.69049 + 0.814098i −0.0934845 + 0.0450197i
\(328\) 28.6014 0.898403i 1.57925 0.0496060i
\(329\) −9.86823 + 11.7926i −0.544053 + 0.650148i
\(330\) −4.54446 28.1482i −0.250164 1.54951i
\(331\) 17.2965 + 3.94780i 0.950699 + 0.216991i 0.669629 0.742696i \(-0.266453\pi\)
0.281071 + 0.959687i \(0.409310\pi\)
\(332\) 8.24403 + 5.37141i 0.452450 + 0.294794i
\(333\) 2.08048 1.00191i 0.114010 0.0549042i
\(334\) 12.9322 + 0.833113i 0.707617 + 0.0455859i
\(335\) −17.1276 8.24820i −0.935778 0.450647i
\(336\) 10.4342 1.76831i 0.569234 0.0964691i
\(337\) −22.7866 + 10.9735i −1.24127 + 0.597763i −0.935157 0.354234i \(-0.884742\pi\)
−0.306110 + 0.951996i \(0.599028\pi\)
\(338\) −9.01699 + 3.64828i −0.490460 + 0.198440i
\(339\) 1.52942 + 6.70082i 0.0830666 + 0.363938i
\(340\) 5.46860 14.8399i 0.296577 0.804808i
\(341\) −33.7558 26.9194i −1.82798 1.45777i
\(342\) −5.45983 + 6.00924i −0.295234 + 0.324942i
\(343\) 18.4739 + 1.30961i 0.997497 + 0.0707125i
\(344\) 15.7239 21.0398i 0.847776 1.13439i
\(345\) 11.6665 14.6293i 0.628103 0.787617i
\(346\) −6.20712 15.3413i −0.333697 0.824756i
\(347\) 17.7320 4.04722i 0.951904 0.217266i 0.281750 0.959488i \(-0.409085\pi\)
0.670154 + 0.742222i \(0.266228\pi\)
\(348\) 4.77259 12.9512i 0.255838 0.694256i
\(349\) −3.86074 8.01692i −0.206661 0.429136i 0.771716 0.635968i \(-0.219399\pi\)
−0.978376 + 0.206832i \(0.933685\pi\)
\(350\) −22.4936 + 23.6131i −1.20233 + 1.26217i
\(351\) −1.07354 + 2.22922i −0.0573012 + 0.118987i
\(352\) −3.90462 30.5468i −0.208117 1.62815i
\(353\) 5.01697 + 10.4179i 0.267027 + 0.554487i 0.990765 0.135588i \(-0.0432922\pi\)
−0.723739 + 0.690074i \(0.757578\pi\)
\(354\) 1.47523 + 9.13749i 0.0784075 + 0.485652i
\(355\) −3.78225 + 16.5711i −0.200741 + 0.879504i
\(356\) 17.7789 27.2871i 0.942281 1.44621i
\(357\) −4.33243 3.62544i −0.229297 0.191879i
\(358\) 1.00578 15.6124i 0.0531570 0.825140i
\(359\) −4.07766 8.46735i −0.215211 0.446889i 0.765216 0.643773i \(-0.222632\pi\)
−0.980427 + 0.196884i \(0.936918\pi\)
\(360\) 6.78501 + 7.98066i 0.357601 + 0.420618i
\(361\) 13.9604 0.734755
\(362\) 6.85759 + 6.23062i 0.360427 + 0.327474i
\(363\) −4.14692 + 18.1689i −0.217657 + 0.953617i
\(364\) −12.1747 4.81559i −0.638129 0.252405i
\(365\) 7.52675 + 32.9769i 0.393968 + 1.72609i
\(366\) −0.226655 + 0.402243i −0.0118474 + 0.0210256i
\(367\) 4.25673 + 5.33777i 0.222199 + 0.278629i 0.880419 0.474197i \(-0.157261\pi\)
−0.658219 + 0.752826i \(0.728690\pi\)
\(368\) 13.1139 15.3771i 0.683611 0.801587i
\(369\) 9.86346 2.25127i 0.513471 0.117196i
\(370\) −5.93720 + 10.5367i −0.308660 + 0.547777i
\(371\) 0.00746538 + 0.0366755i 0.000387583 + 0.00190410i
\(372\) 15.7308 + 2.03526i 0.815603 + 0.105523i
\(373\) −27.9872 −1.44912 −0.724562 0.689210i \(-0.757958\pi\)
−0.724562 + 0.689210i \(0.757958\pi\)
\(374\) −11.0544 + 12.1667i −0.571607 + 0.629127i
\(375\) −13.4168 3.06230i −0.692841 0.158136i
\(376\) −16.1333 3.15296i −0.832014 0.162601i
\(377\) −13.3502 + 10.6464i −0.687568 + 0.548317i
\(378\) 3.50065 1.32115i 0.180054 0.0679529i
\(379\) −4.95993 3.95541i −0.254775 0.203176i 0.487771 0.872972i \(-0.337810\pi\)
−0.742545 + 0.669796i \(0.766382\pi\)
\(380\) 5.45635 42.1729i 0.279905 2.16342i
\(381\) 4.72328 + 3.76669i 0.241981 + 0.192974i
\(382\) 8.05866 + 2.39369i 0.412317 + 0.122472i
\(383\) 6.55790 + 8.22334i 0.335093 + 0.420193i 0.920620 0.390460i \(-0.127684\pi\)
−0.585527 + 0.810653i \(0.699112\pi\)
\(384\) 7.04043 + 8.85620i 0.359280 + 0.451941i
\(385\) 48.5923 22.0043i 2.47649 1.12144i
\(386\) 0.884232 2.97688i 0.0450062 0.151519i
\(387\) 4.02926 8.36685i 0.204819 0.425311i
\(388\) −6.33371 19.1041i −0.321545 0.969862i
\(389\) −5.82717 2.80622i −0.295449 0.142281i 0.280287 0.959916i \(-0.409570\pi\)
−0.575737 + 0.817635i \(0.695285\pi\)
\(390\) −2.06545 12.7933i −0.104588 0.647815i
\(391\) −10.7880 −0.545570
\(392\) 8.30791 + 17.9716i 0.419613 + 0.907703i
\(393\) 11.1949 0.564708
\(394\) −4.81611 29.8308i −0.242632 1.50285i
\(395\) 13.0503 + 6.28469i 0.656632 + 0.316217i
\(396\) −3.42632 10.3346i −0.172179 0.519335i
\(397\) −0.902240 + 1.87352i −0.0452821 + 0.0940293i −0.922382 0.386278i \(-0.873761\pi\)
0.877100 + 0.480307i \(0.159475\pi\)
\(398\) −0.860821 + 2.89807i −0.0431490 + 0.145267i
\(399\) −13.5260 6.91148i −0.677149 0.346007i
\(400\) −33.7156 8.87282i −1.68578 0.443641i
\(401\) 0.699600 + 0.877271i 0.0349364 + 0.0438088i 0.798993 0.601341i \(-0.205367\pi\)
−0.764056 + 0.645149i \(0.776795\pi\)
\(402\) −6.95870 2.06696i −0.347069 0.103091i
\(403\) −15.3420 12.2348i −0.764240 0.609461i
\(404\) 0.797137 6.16118i 0.0396590 0.306530i
\(405\) 2.89551 + 2.30909i 0.143879 + 0.114740i
\(406\) 25.7225 + 2.26745i 1.27658 + 0.112532i
\(407\) 9.82829 7.83780i 0.487170 0.388505i
\(408\) 1.15835 5.92715i 0.0573469 0.293438i
\(409\) 32.6109 + 7.44322i 1.61250 + 0.368044i 0.931358 0.364104i \(-0.118625\pi\)
0.681146 + 0.732148i \(0.261482\pi\)
\(410\) −35.6330 + 39.2186i −1.75979 + 1.93687i
\(411\) 9.51013 0.469100
\(412\) 18.5318 + 2.39766i 0.912998 + 0.118124i
\(413\) −15.7741 + 7.14305i −0.776193 + 0.351487i
\(414\) 3.50764 6.22498i 0.172391 0.305941i
\(415\) −17.7635 + 4.05440i −0.871976 + 0.199023i
\(416\) −1.77465 13.8835i −0.0870091 0.680695i
\(417\) −0.794318 0.996043i −0.0388979 0.0487764i
\(418\) −21.6981 + 38.5075i −1.06129 + 1.88346i
\(419\) −0.0984373 0.431282i −0.00480897 0.0210695i 0.972467 0.233043i \(-0.0748682\pi\)
−0.977275 + 0.211973i \(0.932011\pi\)
\(420\) −11.0824 + 16.1625i −0.540766 + 0.788648i
\(421\) 1.15276 5.05057i 0.0561821 0.246150i −0.939037 0.343816i \(-0.888280\pi\)
0.995219 + 0.0976658i \(0.0311376\pi\)
\(422\) 27.1667 + 24.6830i 1.32246 + 1.20155i
\(423\) −5.81191 −0.282585
\(424\) −0.0304838 + 0.0259168i −0.00148042 + 0.00125863i
\(425\) 8.07469 + 16.7673i 0.391680 + 0.813332i
\(426\) −0.417269 + 6.47713i −0.0202167 + 0.313818i
\(427\) −0.837346 0.212018i −0.0405220 0.0102603i
\(428\) −12.7111 + 19.5090i −0.614415 + 0.943004i
\(429\) −2.99726 + 13.1319i −0.144709 + 0.634013i
\(430\) 7.75218 + 48.0167i 0.373843 + 2.31557i
\(431\) −1.23454 2.56355i −0.0594657 0.123482i 0.869118 0.494605i \(-0.164687\pi\)
−0.928584 + 0.371123i \(0.878973\pi\)
\(432\) 3.04351 + 2.59558i 0.146431 + 0.124880i
\(433\) 7.38365 15.3323i 0.354836 0.736824i −0.644785 0.764364i \(-0.723053\pi\)
0.999621 + 0.0275400i \(0.00876738\pi\)
\(434\) 4.03735 + 29.3990i 0.193799 + 1.41120i
\(435\) 11.0896 + 23.0277i 0.531705 + 1.10410i
\(436\) 1.29756 3.52114i 0.0621419 0.168632i
\(437\) −28.2792 + 6.45455i −1.35278 + 0.308763i
\(438\) 4.84446 + 11.9734i 0.231477 + 0.572113i
\(439\) −16.7790 + 21.0402i −0.800820 + 1.00420i 0.198888 + 0.980022i \(0.436267\pi\)
−0.999708 + 0.0241739i \(0.992304\pi\)
\(440\) 45.6785 + 34.1374i 2.17764 + 1.62744i
\(441\) 4.10145 + 5.67257i 0.195307 + 0.270122i
\(442\) −5.02420 + 5.52977i −0.238977 + 0.263024i
\(443\) −13.9766 11.1460i −0.664047 0.529560i 0.232450 0.972608i \(-0.425326\pi\)
−0.896498 + 0.443048i \(0.853897\pi\)
\(444\) −1.59690 + 4.33345i −0.0757857 + 0.205656i
\(445\) 13.4197 + 58.7957i 0.636157 + 2.78719i
\(446\) 21.2798 8.60980i 1.00763 0.407686i
\(447\) −9.75220 + 4.69641i −0.461263 + 0.222133i
\(448\) −12.5379 + 17.0529i −0.592362 + 0.805672i
\(449\) −24.6011 11.8472i −1.16100 0.559106i −0.248677 0.968586i \(-0.579996\pi\)
−0.912319 + 0.409480i \(0.865710\pi\)
\(450\) −12.3006 0.792430i −0.579858 0.0373555i
\(451\) 49.6223 23.8968i 2.33662 1.12526i
\(452\) −11.5173 7.50412i −0.541729 0.352964i
\(453\) 12.1249 + 2.76744i 0.569679 + 0.130026i
\(454\) −5.84792 36.2217i −0.274456 1.69997i
\(455\) 22.0852 10.0009i 1.03537 0.468850i
\(456\) −0.509812 16.2303i −0.0238742 0.760054i
\(457\) −10.9302 + 5.26372i −0.511294 + 0.246226i −0.671698 0.740825i \(-0.734435\pi\)
0.160404 + 0.987051i \(0.448720\pi\)
\(458\) 1.85206 1.29132i 0.0865412 0.0603393i
\(459\) 2.13521i 0.0996629i
\(460\) 3.57719 + 37.2519i 0.166788 + 1.73688i
\(461\) 9.63688 + 2.19955i 0.448834 + 0.102443i 0.440962 0.897526i \(-0.354637\pi\)
0.00787174 + 0.999969i \(0.497494\pi\)
\(462\) 16.9790 11.2525i 0.789933 0.523516i
\(463\) −35.7111 + 8.15082i −1.65964 + 0.378801i −0.946621 0.322349i \(-0.895528\pi\)
−0.713014 + 0.701150i \(0.752670\pi\)
\(464\) 11.1520 + 25.2522i 0.517719 + 1.17231i
\(465\) −22.9642 + 18.3133i −1.06494 + 0.849259i
\(466\) −0.0157339 0.00101361i −0.000728861 4.69545e-5i
\(467\) −0.300731 1.31759i −0.0139162 0.0609708i 0.967493 0.252898i \(-0.0813836\pi\)
−0.981409 + 0.191927i \(0.938526\pi\)
\(468\) −1.55726 4.69709i −0.0719843 0.217123i
\(469\) 0.320346 13.5769i 0.0147922 0.626924i
\(470\) 24.9699 17.4098i 1.15178 0.803055i
\(471\) 22.0615i 1.01654i
\(472\) −14.8282 11.0817i −0.682523 0.510078i
\(473\) 11.2495 49.2873i 0.517253 2.26623i
\(474\) 5.30217 + 1.57492i 0.243537 + 0.0723383i
\(475\) 31.1988 + 39.1220i 1.43150 + 1.79504i
\(476\) 11.2691 0.814399i 0.516517 0.0373279i
\(477\) −0.00882007 + 0.0110600i −0.000403843 + 0.000506403i
\(478\) −13.0041 + 9.06685i −0.594793 + 0.414708i
\(479\) −2.60542 + 3.26710i −0.119045 + 0.149277i −0.837783 0.546003i \(-0.816149\pi\)
0.718738 + 0.695281i \(0.244720\pi\)
\(480\) −20.8511 2.03450i −0.951720 0.0928620i
\(481\) 4.46695 3.56227i 0.203675 0.162426i
\(482\) 1.32324 + 3.27049i 0.0602721 + 0.148967i
\(483\) 12.9585 + 3.28112i 0.589632 + 0.149296i
\(484\) −19.3077 31.8815i −0.877622 1.44916i
\(485\) 33.5786 + 16.1706i 1.52473 + 0.734270i
\(486\) 1.23208 + 0.694249i 0.0558882 + 0.0314918i
\(487\) −10.4547 + 21.7093i −0.473746 + 0.983744i 0.517983 + 0.855391i \(0.326683\pi\)
−0.991729 + 0.128353i \(0.959031\pi\)
\(488\) −0.233641 0.893364i −0.0105764 0.0404407i
\(489\) 0.811062i 0.0366775i
\(490\) −34.6137 12.0852i −1.56369 0.545954i
\(491\) 18.2679i 0.824417i −0.911090 0.412208i \(-0.864758\pi\)
0.911090 0.412208i \(-0.135242\pi\)
\(492\) −11.0459 + 16.9532i −0.497987 + 0.764311i
\(493\) 6.39356 13.2764i 0.287952 0.597937i
\(494\) −9.86177 + 17.5016i −0.443702 + 0.787435i
\(495\) 18.1649 + 8.74774i 0.816451 + 0.393182i
\(496\) −25.4405 + 18.9521i −1.14231 + 0.850974i
\(497\) −11.8987 + 2.42201i −0.533731 + 0.108642i
\(498\) −6.44968 + 2.60954i −0.289017 + 0.116936i
\(499\) 11.6362 9.27954i 0.520907 0.415409i −0.327423 0.944878i \(-0.606180\pi\)
0.848330 + 0.529469i \(0.177609\pi\)
\(500\) 23.5429 14.2578i 1.05287 0.637627i
\(501\) −5.71327 + 7.16422i −0.255250 + 0.320074i
\(502\) 0.132650 + 0.190253i 0.00592047 + 0.00849140i
\(503\) −1.70473 + 2.13767i −0.0760103 + 0.0953139i −0.818383 0.574673i \(-0.805129\pi\)
0.742372 + 0.669987i \(0.233701\pi\)
\(504\) −3.19413 + 6.76739i −0.142278 + 0.301443i
\(505\) 7.17266 + 8.99423i 0.319179 + 0.400238i
\(506\) 11.0756 37.2876i 0.492372 1.65764i
\(507\) 1.53052 6.70564i 0.0679727 0.297808i
\(508\) −12.0273 + 1.15495i −0.533625 + 0.0512425i
\(509\) 1.14448i 0.0507280i 0.999678 + 0.0253640i \(0.00807448\pi\)
−0.999678 + 0.0253640i \(0.991926\pi\)
\(510\) 6.39610 + 9.17357i 0.283224 + 0.406213i
\(511\) −19.2425 + 14.6163i −0.851239 + 0.646589i
\(512\) −22.4359 2.93771i −0.991536 0.129830i
\(513\) −1.27752 5.59717i −0.0564038 0.247121i
\(514\) −2.70839 + 42.0415i −0.119462 + 1.85437i
\(515\) −27.0532 + 21.5742i −1.19211 + 0.950673i
\(516\) 5.84479 + 17.6294i 0.257303 + 0.776090i
\(517\) −30.8462 + 7.04044i −1.35661 + 0.309638i
\(518\) −8.60671 0.758688i −0.378157 0.0333348i
\(519\) 11.4088 + 2.60400i 0.500793 + 0.114303i
\(520\) 20.7608 + 15.5154i 0.910423 + 0.680397i
\(521\) 23.9627i 1.04983i −0.851156 0.524913i \(-0.824098\pi\)
0.851156 0.524913i \(-0.175902\pi\)
\(522\) 5.58204 + 8.00600i 0.244319 + 0.350413i
\(523\) 2.93963 1.41565i 0.128541 0.0619020i −0.368508 0.929625i \(-0.620131\pi\)
0.497049 + 0.867723i \(0.334417\pi\)
\(524\) −16.0905 + 15.5691i −0.702917 + 0.680141i
\(525\) −4.59962 22.5967i −0.200744 0.986202i
\(526\) −8.30633 + 1.34104i −0.362173 + 0.0584720i
\(527\) 16.5096 + 3.76822i 0.719171 + 0.164146i
\(528\) 19.2974 + 10.0889i 0.839813 + 0.439065i
\(529\) 2.27667 1.09639i 0.0989857 0.0476690i
\(530\) 0.00476325 0.0739385i 0.000206902 0.00321168i
\(531\) −5.89671 2.83970i −0.255895 0.123233i
\(532\) 29.0531 8.87724i 1.25961 0.384877i
\(533\) 22.5533 10.8611i 0.976892 0.470446i
\(534\) 8.63737 + 21.3479i 0.373776 + 0.923814i
\(535\) −9.59451 42.0363i −0.414807 1.81739i
\(536\) 12.8764 6.70686i 0.556176 0.289692i
\(537\) 8.64902 + 6.89736i 0.373233 + 0.297643i
\(538\) −32.5027 29.5311i −1.40129 1.27318i
\(539\) 28.6398 + 25.1383i 1.23360 + 1.08278i
\(540\) −7.37308 + 0.708017i −0.317287 + 0.0304682i
\(541\) 1.05585 1.32399i 0.0453944 0.0569228i −0.758616 0.651538i \(-0.774124\pi\)
0.804010 + 0.594615i \(0.202696\pi\)
\(542\) −33.9676 + 13.7433i −1.45903 + 0.590325i
\(543\) −6.38735 + 1.45787i −0.274107 + 0.0625632i
\(544\) 6.57820 + 10.1301i 0.282038 + 0.434324i
\(545\) 3.01501 + 6.26074i 0.129149 + 0.268181i
\(546\) 7.71693 5.11427i 0.330254 0.218871i
\(547\) 17.4404 36.2155i 0.745700 1.54846i −0.0879229 0.996127i \(-0.528023\pi\)
0.833623 0.552334i \(-0.186263\pi\)
\(548\) −13.6690 + 13.2261i −0.583910 + 0.564990i
\(549\) −0.141652 0.294144i −0.00604557 0.0125537i
\(550\) −66.2446 + 10.6950i −2.82468 + 0.456038i
\(551\) 8.81650 38.6276i 0.375596 1.64559i
\(552\) 3.61575 + 13.8254i 0.153897 + 0.588448i
\(553\) −0.244087 + 10.3449i −0.0103796 + 0.439910i
\(554\) 37.8063 + 2.43555i 1.60624 + 0.103477i
\(555\) −3.71056 7.70506i −0.157505 0.327062i
\(556\) 2.52691 + 0.326933i 0.107165 + 0.0138651i
\(557\) 8.46113 0.358510 0.179255 0.983803i \(-0.442631\pi\)
0.179255 + 0.983803i \(0.442631\pi\)
\(558\) −7.54238 + 8.30135i −0.319294 + 0.351424i
\(559\) 5.11289 22.4010i 0.216252 0.947463i
\(560\) −6.54893 38.6431i −0.276743 1.63297i
\(561\) −2.58655 11.3324i −0.109204 0.478455i
\(562\) −24.5080 13.8097i −1.03381 0.582527i
\(563\) −14.9290 18.7204i −0.629183 0.788970i 0.360421 0.932790i \(-0.382633\pi\)
−0.989604 + 0.143819i \(0.954062\pi\)
\(564\) 8.35349 8.08283i 0.351746 0.340348i
\(565\) 24.8165 5.66420i 1.04404 0.238295i
\(566\) 12.6602 + 7.13374i 0.532148 + 0.299854i
\(567\) −0.649415 + 2.56481i −0.0272729 + 0.107712i
\(568\) −8.40824 9.88994i −0.352802 0.414973i
\(569\) 26.7959 1.12334 0.561672 0.827360i \(-0.310158\pi\)
0.561672 + 0.827360i \(0.310158\pi\)
\(570\) 22.2552 + 20.2205i 0.932168 + 0.846943i
\(571\) 29.0964 + 6.64107i 1.21765 + 0.277920i 0.782622 0.622497i \(-0.213882\pi\)
0.435026 + 0.900418i \(0.356739\pi\)
\(572\) −13.9550 23.0429i −0.583487 0.963474i
\(573\) −4.64752 + 3.70627i −0.194153 + 0.154832i
\(574\) −36.0234 11.6316i −1.50359 0.485495i
\(575\) −34.4290 27.4562i −1.43579 1.14500i
\(576\) −7.98423 + 0.502083i −0.332676 + 0.0209201i
\(577\) 0.765397 + 0.610384i 0.0318639 + 0.0254106i 0.639292 0.768964i \(-0.279227\pi\)
−0.607428 + 0.794374i \(0.707799\pi\)
\(578\) −5.00969 + 16.8658i −0.208376 + 0.701524i
\(579\) 1.36910 + 1.71680i 0.0568980 + 0.0713479i
\(580\) −47.9647 17.6753i −1.99162 0.733926i
\(581\) −7.87332 10.3653i −0.326640 0.430024i
\(582\) 13.6426 + 4.05229i 0.565503 + 0.167973i
\(583\) −0.0334138 + 0.0693846i −0.00138386 + 0.00287361i
\(584\) −23.6149 10.4721i −0.977190 0.433340i
\(585\) 8.25592 + 3.97584i 0.341340 + 0.164381i
\(586\) −5.96632 + 0.963249i −0.246466 + 0.0397914i
\(587\) −3.11793 −0.128691 −0.0643455 0.997928i \(-0.520496\pi\)
−0.0643455 + 0.997928i \(0.520496\pi\)
\(588\) −13.7841 2.44919i −0.568447 0.101003i
\(589\) 45.5325 1.87613
\(590\) 33.8407 5.46351i 1.39320 0.224929i
\(591\) 19.2507 + 9.27065i 0.791868 + 0.381344i
\(592\) −3.73145 8.44937i −0.153362 0.347267i
\(593\) −12.4794 + 25.9137i −0.512467 + 1.06415i 0.470844 + 0.882216i \(0.343949\pi\)
−0.983311 + 0.181932i \(0.941765\pi\)
\(594\) 7.38015 + 2.19215i 0.302811 + 0.0899449i
\(595\) −13.4268 + 16.0451i −0.550445 + 0.657787i
\(596\) 7.48544 20.3129i 0.306615 0.832050i
\(597\) −1.33285 1.67135i −0.0545501 0.0684037i
\(598\) 5.03387 16.9472i 0.205850 0.693022i
\(599\) 27.8365 + 22.1989i 1.13737 + 0.907022i 0.996548 0.0830136i \(-0.0264545\pi\)
0.140821 + 0.990035i \(0.455026\pi\)
\(600\) 18.7819 15.9680i 0.766767 0.651891i
\(601\) 15.8761 + 12.6608i 0.647600 + 0.516443i 0.891304 0.453406i \(-0.149791\pi\)
−0.243704 + 0.969850i \(0.578363\pi\)
\(602\) −28.9636 + 19.1952i −1.18047 + 0.782338i
\(603\) 4.01316 3.20039i 0.163429 0.130330i
\(604\) −21.2760 + 12.8849i −0.865710 + 0.524281i
\(605\) 67.2883 + 15.3581i 2.73566 + 0.624396i
\(606\) 3.25134 + 2.95408i 0.132077 + 0.120001i
\(607\) −2.11282 −0.0857568 −0.0428784 0.999080i \(-0.513653\pi\)
−0.0428784 + 0.999080i \(0.513653\pi\)
\(608\) 23.3048 + 22.6189i 0.945136 + 0.917319i
\(609\) −11.7179 + 14.0030i −0.474834 + 0.567430i
\(610\) 1.48971 + 0.839416i 0.0603164 + 0.0339870i
\(611\) −14.0196 + 3.19988i −0.567171 + 0.129453i
\(612\) 2.96951 + 3.06895i 0.120035 + 0.124055i
\(613\) 0.454814 + 0.570319i 0.0183698 + 0.0230350i 0.790932 0.611905i \(-0.209596\pi\)
−0.772562 + 0.634940i \(0.781025\pi\)
\(614\) −29.1708 16.4371i −1.17724 0.663348i
\(615\) −8.33757 36.5293i −0.336203 1.47300i
\(616\) −8.75468 + 39.7866i −0.352736 + 1.60305i
\(617\) −8.88213 + 38.9152i −0.357581 + 1.56667i 0.401618 + 0.915807i \(0.368448\pi\)
−0.759199 + 0.650858i \(0.774409\pi\)
\(618\) −8.88539 + 9.77951i −0.357423 + 0.393389i
\(619\) 2.72285 0.109440 0.0547202 0.998502i \(-0.482573\pi\)
0.0547202 + 0.998502i \(0.482573\pi\)
\(620\) 7.53757 58.2589i 0.302716 2.33974i
\(621\) 2.19216 + 4.55207i 0.0879684 + 0.182668i
\(622\) 10.2574 + 0.660801i 0.411285 + 0.0264957i
\(623\) −34.3082 + 26.0600i −1.37453 + 1.04407i
\(624\) 8.77067 + 4.58542i 0.351108 + 0.183564i
\(625\) −1.64386 + 7.20222i −0.0657544 + 0.288089i
\(626\) −7.66297 + 1.23717i −0.306274 + 0.0494472i
\(627\) −13.5606 28.1589i −0.541559 1.12456i
\(628\) 30.6817 + 31.7091i 1.22433 + 1.26533i
\(629\) −2.13928 + 4.44226i −0.0852987 + 0.177124i
\(630\) −4.89290 12.9647i −0.194938 0.516524i
\(631\) 4.16458 + 8.64783i 0.165789 + 0.344265i 0.967267 0.253759i \(-0.0816671\pi\)
−0.801478 + 0.598024i \(0.795953\pi\)
\(632\) −9.81114 + 5.11028i −0.390266 + 0.203276i
\(633\) −25.3038 + 5.77544i −1.00574 + 0.229553i
\(634\) 44.8866 18.1611i 1.78267 0.721270i
\(635\) 13.9499 17.4927i 0.553587 0.694176i
\(636\) −0.00270442 0.0281630i −0.000107237 0.00111674i
\(637\) 13.0168 + 11.4253i 0.515743 + 0.452688i
\(638\) 39.3245 + 35.7292i 1.55687 + 1.41453i
\(639\) −3.58823 2.86152i −0.141948 0.113200i
\(640\) 32.7989 26.0742i 1.29649 1.03067i
\(641\) 9.04196 + 39.6154i 0.357136 + 1.56471i 0.760291 + 0.649583i \(0.225056\pi\)
−0.403155 + 0.915132i \(0.632086\pi\)
\(642\) −6.17533 15.2628i −0.243721 0.602374i
\(643\) 12.6313 6.08291i 0.498129 0.239886i −0.167911 0.985802i \(-0.553702\pi\)
0.666040 + 0.745916i \(0.267988\pi\)
\(644\) −23.1885 + 13.3059i −0.913755 + 0.524325i
\(645\) −30.9866 14.9224i −1.22010 0.587568i
\(646\) 1.11451 17.3002i 0.0438498 0.680668i
\(647\) 23.2451 11.1943i 0.913859 0.440091i 0.0829844 0.996551i \(-0.473555\pi\)
0.830875 + 0.556459i \(0.187841\pi\)
\(648\) −2.73639 + 0.715648i −0.107496 + 0.0281133i
\(649\) −34.7362 7.92832i −1.36352 0.311214i
\(650\) −30.1081 + 4.86089i −1.18094 + 0.190660i
\(651\) −18.6853 9.54773i −0.732335 0.374205i
\(652\) 1.12797 + 1.16575i 0.0441748 + 0.0456541i
\(653\) −34.3473 + 16.5408i −1.34411 + 0.647291i −0.961035 0.276426i \(-0.910850\pi\)
−0.383077 + 0.923716i \(0.625136\pi\)
\(654\) 1.51763 + 2.17666i 0.0593442 + 0.0851140i
\(655\) 41.4603i 1.61999i
\(656\) −7.70113 39.7289i −0.300679 1.55115i
\(657\) −8.90425 2.03234i −0.347388 0.0792890i
\(658\) 18.6884 + 11.1193i 0.728550 + 0.433475i
\(659\) 4.32177 0.986415i 0.168352 0.0384253i −0.137514 0.990500i \(-0.543911\pi\)
0.305866 + 0.952075i \(0.401054\pi\)
\(660\) −38.2743 + 12.6894i −1.48983 + 0.493933i
\(661\) −5.08442 + 4.05469i −0.197761 + 0.157709i −0.717364 0.696699i \(-0.754651\pi\)
0.519603 + 0.854408i \(0.326080\pi\)
\(662\) 1.61300 25.0380i 0.0626908 0.973131i
\(663\) −1.17559 5.15058i −0.0456560 0.200032i
\(664\) 5.64098 12.7205i 0.218913 0.493652i
\(665\) −25.5967 + 50.0937i −0.992596 + 1.94255i
\(666\) −1.86774 2.67880i −0.0723736 0.103801i
\(667\) 34.8681i 1.35010i
\(668\) −1.75181 18.2428i −0.0677795 0.705837i
\(669\) −3.61196 + 15.8250i −0.139647 + 0.611832i
\(670\) −7.65500 + 25.7715i −0.295738 + 0.995642i
\(671\) −1.10813 1.38955i −0.0427788 0.0536429i
\(672\) −4.82070 14.1690i −0.185963 0.546581i
\(673\) 0.338176 0.424059i 0.0130357 0.0163463i −0.775271 0.631629i \(-0.782387\pi\)
0.788307 + 0.615283i \(0.210958\pi\)
\(674\) 20.4566 + 29.3398i 0.787959 + 1.13013i
\(675\) 5.43428 6.81437i 0.209165 0.262285i
\(676\) 7.12595 + 11.7666i 0.274075 + 0.452562i
\(677\) −12.0262 + 9.59053i −0.462203 + 0.368594i −0.826730 0.562598i \(-0.809802\pi\)
0.364528 + 0.931192i \(0.381230\pi\)
\(678\) 9.01051 3.64566i 0.346047 0.140011i
\(679\) −0.628040 + 26.6176i −0.0241020 + 1.02149i
\(680\) −21.9512 4.28995i −0.841790 0.164512i
\(681\) 23.3750 + 11.2568i 0.895732 + 0.431362i
\(682\) −29.9744 + 53.1954i −1.14778 + 2.03696i
\(683\) 20.8844 43.3668i 0.799118 1.65939i 0.0483396 0.998831i \(-0.484607\pi\)
0.750778 0.660554i \(-0.229679\pi\)
\(684\) 9.62037 + 6.26816i 0.367844 + 0.239669i
\(685\) 35.2208i 1.34572i
\(686\) −2.33567 26.0873i −0.0891764 0.996016i
\(687\) 1.59650i 0.0609103i
\(688\) −32.9186 17.2103i −1.25501 0.656135i
\(689\) −0.0151866 + 0.0315352i −0.000578562 + 0.00120140i
\(690\) −23.0542 12.9905i −0.877658 0.494541i
\(691\) −31.3638 15.1040i −1.19314 0.574584i −0.271424 0.962460i \(-0.587495\pi\)
−0.921712 + 0.387876i \(0.873209\pi\)
\(692\) −20.0195 + 12.1240i −0.761027 + 0.460884i
\(693\) −0.339748 + 14.3992i −0.0129060 + 0.546981i
\(694\) −9.64731 23.8440i −0.366207 0.905107i
\(695\) −3.68884 + 2.94175i −0.139926 + 0.111587i
\(696\) −19.1573 3.74394i −0.726157 0.141914i
\(697\) −13.4687 + 16.8892i −0.510164 + 0.639725i
\(698\) −10.3225 + 7.19716i −0.390712 + 0.272416i
\(699\) 0.00695106 0.00871636i 0.000262913 0.000329683i
\(700\) 38.0372 + 26.0816i 1.43767 + 0.985791i
\(701\) 7.90747 + 9.91565i 0.298661 + 0.374509i 0.908406 0.418088i \(-0.137300\pi\)
−0.609745 + 0.792597i \(0.708728\pi\)
\(702\) 3.35427 + 0.996330i 0.126599 + 0.0376040i
\(703\) −2.94999 + 12.9248i −0.111261 + 0.487467i
\(704\) −41.7674 + 12.3367i −1.57417 + 0.464958i
\(705\) 21.5244i 0.810655i
\(706\) 13.4139 9.35259i 0.504839 0.351989i
\(707\) −3.73950 + 7.31836i −0.140639 + 0.275235i
\(708\) 12.4247 4.11924i 0.466947 0.154810i
\(709\) −7.21778 31.6232i −0.271069 1.18763i −0.908753 0.417334i \(-0.862964\pi\)
0.637684 0.770298i \(-0.279893\pi\)
\(710\) 23.9881 + 1.54535i 0.900256 + 0.0579961i
\(711\) −3.05782 + 2.43853i −0.114677 + 0.0914519i
\(712\) −42.1039 18.6712i −1.57791 0.699732i
\(713\) −39.0658 + 8.91652i −1.46303 + 0.333926i
\(714\) −4.08506 + 6.86584i −0.152880 + 0.256948i
\(715\) 48.6339 + 11.1004i 1.81880 + 0.415130i
\(716\) −22.0237 + 2.11488i −0.823064 + 0.0790366i
\(717\) 11.2097i 0.418633i
\(718\) −10.9024 + 7.60153i −0.406876 + 0.283687i
\(719\) −11.5281 + 5.55164i −0.429926 + 0.207041i −0.636316 0.771428i \(-0.719543\pi\)
0.206391 + 0.978470i \(0.433828\pi\)
\(720\) 9.61272 11.2716i 0.358245 0.420070i
\(721\) −22.0124 11.2478i −0.819786 0.418891i
\(722\) −3.14670 19.4905i −0.117108 0.725363i
\(723\) −2.43216 0.555124i −0.0904529 0.0206453i
\(724\) 7.15307 10.9785i 0.265842 0.408014i
\(725\) 54.1941 26.0985i 2.01272 0.969273i
\(726\) 26.3009 + 1.69435i 0.976118 + 0.0628833i
\(727\) 9.99392 + 4.81282i 0.370654 + 0.178498i 0.609932 0.792453i \(-0.291197\pi\)
−0.239278 + 0.970951i \(0.576911\pi\)
\(728\) −3.97900 + 18.0830i −0.147471 + 0.670201i
\(729\) −0.900969 + 0.433884i −0.0333692 + 0.0160698i
\(730\) 44.3436 17.9414i 1.64123 0.664043i
\(731\) 4.41228 + 19.3315i 0.163194 + 0.715000i
\(732\) 0.612674 + 0.225774i 0.0226451 + 0.00834485i
\(733\) −1.44980 1.15618i −0.0535498 0.0427045i 0.596349 0.802725i \(-0.296617\pi\)
−0.649899 + 0.760021i \(0.725189\pi\)
\(734\) 6.49277 7.14612i 0.239652 0.263768i
\(735\) 21.0084 15.1897i 0.774905 0.560282i
\(736\) −24.4244 14.8428i −0.900296 0.547112i
\(737\) 17.4226 21.8473i 0.641770 0.804754i
\(738\) −5.36633 13.2633i −0.197537 0.488228i
\(739\) 38.0719 8.68966i 1.40050 0.319654i 0.545423 0.838161i \(-0.316369\pi\)
0.855073 + 0.518507i \(0.173512\pi\)
\(740\) 16.0489 + 5.91413i 0.589970 + 0.217408i
\(741\) −6.16330 12.7982i −0.226414 0.470154i
\(742\) 0.0495212 0.0186894i 0.00181798 0.000686111i
\(743\) −17.2593 + 35.8392i −0.633181 + 1.31481i 0.299495 + 0.954098i \(0.403182\pi\)
−0.932676 + 0.360716i \(0.882532\pi\)
\(744\) −0.704271 22.4211i −0.0258198 0.821996i
\(745\) 17.3932 + 36.1173i 0.637236 + 1.32323i
\(746\) 6.30840 + 39.0740i 0.230967 + 1.43060i
\(747\) 1.09475 4.79641i 0.0400548 0.175491i
\(748\) 19.4781 + 12.6910i 0.712190 + 0.464028i
\(749\) 24.5288 18.6318i 0.896264 0.680789i
\(750\) −1.25119 + 19.4219i −0.0456872 + 0.709188i
\(751\) 0.875054 + 1.81707i 0.0319312 + 0.0663057i 0.916324 0.400437i \(-0.131142\pi\)
−0.884393 + 0.466743i \(0.845427\pi\)
\(752\) −0.765454 + 23.2350i −0.0279132 + 0.847294i
\(753\) −0.164000 −0.00597651
\(754\) 17.8730 + 16.2389i 0.650895 + 0.591386i
\(755\) 10.2492 44.9047i 0.373007 1.63425i
\(756\) −2.63357 4.58959i −0.0957819 0.166922i
\(757\) 7.93082 + 34.7472i 0.288250 + 1.26291i 0.886924 + 0.461915i \(0.152837\pi\)
−0.598674 + 0.800993i \(0.704305\pi\)
\(758\) −4.40431 + 7.81630i −0.159972 + 0.283901i
\(759\) 17.1490 + 21.5042i 0.622470 + 0.780552i
\(760\) −60.1089 + 1.88809i −2.18038 + 0.0684882i
\(761\) 43.9074 10.0216i 1.59164 0.363282i 0.667283 0.744805i \(-0.267457\pi\)
0.924359 + 0.381523i \(0.124600\pi\)
\(762\) 4.19417 7.44337i 0.151939 0.269645i
\(763\) −3.18584 + 3.80711i −0.115335 + 0.137827i
\(764\) 1.52546 11.7905i 0.0551894 0.426566i
\(765\) −7.90774 −0.285905
\(766\) 10.0027 11.0093i 0.361413 0.397781i
\(767\) −15.7876 3.60341i −0.570057 0.130112i
\(768\) 10.7775 11.8256i 0.388900 0.426720i
\(769\) 8.98004 7.16135i 0.323829 0.258245i −0.448059 0.894004i \(-0.647884\pi\)
0.771887 + 0.635759i \(0.219313\pi\)
\(770\) −41.6738 62.8816i −1.50182 2.26610i
\(771\) −23.2903 18.5734i −0.838781 0.668905i
\(772\) −4.35544 0.563509i −0.156756 0.0202811i
\(773\) 4.83979 + 3.85960i 0.174075 + 0.138820i 0.706652 0.707562i \(-0.250205\pi\)
−0.532577 + 0.846382i \(0.678776\pi\)
\(774\) −12.5895 3.73948i −0.452519 0.134413i
\(775\) 43.0990 + 54.0444i 1.54816 + 1.94133i
\(776\) −25.2442 + 13.1488i −0.906215 + 0.472016i
\(777\) 3.92080 4.68539i 0.140658 0.168087i
\(778\) −2.60440 + 8.76805i −0.0933722 + 0.314350i
\(779\) −25.2015 + 52.3314i −0.902936 + 1.87497i
\(780\) −17.3956 + 5.76730i −0.622864 + 0.206503i
\(781\) −22.5106 10.8405i −0.805494 0.387905i
\(782\) 2.43164 + 15.0614i 0.0869551 + 0.538596i
\(783\) −6.90128 −0.246632
\(784\) 23.2182 15.6498i 0.829220 0.558922i
\(785\) −81.7046 −2.91616
\(786\) −2.52336 15.6296i −0.0900053 0.557489i
\(787\) −7.23684 3.48508i −0.257966 0.124230i 0.300432 0.953803i \(-0.402869\pi\)
−0.558397 + 0.829574i \(0.688584\pi\)
\(788\) −40.5622 + 13.4479i −1.44497 + 0.479061i
\(789\) 2.58140 5.36033i 0.0919002 0.190833i
\(790\) 5.83270 19.6366i 0.207518 0.698638i
\(791\) 10.9994 + 14.4808i 0.391094 + 0.514878i
\(792\) −13.6563 + 7.11306i −0.485254 + 0.252752i
\(793\) −0.503643 0.631548i −0.0178849 0.0224269i
\(794\) 2.81906 + 0.837352i 0.100045 + 0.0297165i
\(795\) 0.0409607 + 0.0326651i 0.00145273 + 0.00115851i
\(796\) 4.24012 + 0.548589i 0.150287 + 0.0194442i
\(797\) 19.3703 + 15.4473i 0.686132 + 0.547172i 0.903325 0.428956i \(-0.141119\pi\)
−0.217193 + 0.976129i \(0.569690\pi\)
\(798\) −6.60055 + 20.4421i −0.233657 + 0.723641i
\(799\) 9.70223 7.73727i 0.343240 0.273725i
\(800\) −4.78805 + 49.0716i −0.169283 + 1.73494i
\(801\) −15.8757 3.62353i −0.560941 0.128031i
\(802\) 1.06710 1.17448i 0.0376805 0.0414722i
\(803\) −49.7205 −1.75460
\(804\) −1.31725 + 10.1812i −0.0464557 + 0.359063i
\(805\) 12.1516 47.9918i 0.428288 1.69149i
\(806\) −13.6234 + 24.1773i −0.479862 + 0.851608i
\(807\) 30.2739 6.90983i 1.06569 0.243237i
\(808\) −8.78152 + 0.275838i −0.308933 + 0.00970393i
\(809\) −24.5818 30.8246i −0.864249 1.08373i −0.995721 0.0924137i \(-0.970542\pi\)
0.131472 0.991320i \(-0.458030\pi\)
\(810\) 2.57115 4.56300i 0.0903410 0.160328i
\(811\) −8.80242 38.5659i −0.309095 1.35423i −0.855973 0.517020i \(-0.827041\pi\)
0.546879 0.837212i \(-0.315816\pi\)
\(812\) −2.63225 36.4231i −0.0923738 1.27820i
\(813\) 5.76556 25.2606i 0.202207 0.885926i
\(814\) −13.1580 11.9550i −0.461186 0.419021i
\(815\) −3.00377 −0.105217
\(816\) −8.53620 0.281216i −0.298827 0.00984454i
\(817\) 23.1324 + 48.0350i 0.809302 + 1.68053i
\(818\) 3.04115 47.2069i 0.106331 1.65055i
\(819\) −0.154415 + 6.54443i −0.00539570 + 0.228681i
\(820\) 62.7863 + 40.9085i 2.19259 + 1.42859i
\(821\) 8.24515 36.1244i 0.287758 1.26075i −0.599836 0.800123i \(-0.704768\pi\)
0.887594 0.460627i \(-0.152375\pi\)
\(822\) −2.14361 13.2774i −0.0747670 0.463104i
\(823\) 11.6759 + 24.2453i 0.406997 + 0.845139i 0.999225 + 0.0393678i \(0.0125344\pi\)
−0.592228 + 0.805771i \(0.701751\pi\)
\(824\) −0.829675 26.4134i −0.0289031 0.920154i
\(825\) 20.5872 42.7497i 0.716753 1.48835i
\(826\) 13.5282 + 20.4127i 0.470706 + 0.710249i
\(827\) 16.5275 + 34.3197i 0.574717 + 1.19341i 0.962404 + 0.271622i \(0.0875600\pi\)
−0.387687 + 0.921791i \(0.626726\pi\)
\(828\) −9.48154 3.49400i −0.329506 0.121425i
\(829\) 35.2338 8.04187i 1.22372 0.279306i 0.438618 0.898674i \(-0.355468\pi\)
0.785101 + 0.619368i \(0.212611\pi\)
\(830\) 9.66444 + 23.8864i 0.335458 + 0.829108i
\(831\) −16.7024 + 20.9441i −0.579398 + 0.726543i
\(832\) −18.9833 + 5.60703i −0.658126 + 0.194389i
\(833\) −14.3986 4.00945i −0.498883 0.138919i
\(834\) −1.21157 + 1.33349i −0.0419532 + 0.0461748i
\(835\) 26.5327 + 21.1591i 0.918201 + 0.732241i
\(836\) 58.6524 + 21.6138i 2.02854 + 0.747528i
\(837\) −1.76480 7.73210i −0.0610005 0.267261i
\(838\) −0.579940 + 0.234644i −0.0200337 + 0.00810564i
\(839\) 4.84389 2.33269i 0.167230 0.0805335i −0.348396 0.937347i \(-0.613274\pi\)
0.515626 + 0.856814i \(0.327559\pi\)
\(840\) 25.0630 + 11.8295i 0.864756 + 0.408155i
\(841\) −16.7829 8.08223i −0.578721 0.278698i
\(842\) −7.31112 0.470995i −0.251958 0.0162316i
\(843\) 17.9217 8.63062i 0.617255 0.297254i
\(844\) 28.3373 43.4921i 0.975410 1.49706i
\(845\) −24.8343 5.66827i −0.854326 0.194994i
\(846\) 1.31002 + 8.11421i 0.0450394 + 0.278972i
\(847\) 9.83477 + 48.3157i 0.337927 + 1.66015i
\(848\) 0.0430544 + 0.0367178i 0.00147850 + 0.00126089i
\(849\) −9.25789 + 4.45836i −0.317730 + 0.153011i
\(850\) 21.5893 15.0527i 0.740507 0.516305i
\(851\) 11.6668i 0.399934i
\(852\) 9.13701 0.877402i 0.313029 0.0300593i
\(853\) 24.4409 + 5.57847i 0.836840 + 0.191003i 0.619405 0.785072i \(-0.287374\pi\)
0.217435 + 0.976075i \(0.430231\pi\)
\(854\) −0.107265 + 1.21684i −0.00367054 + 0.0416394i
\(855\) −20.7291 + 4.73128i −0.708921 + 0.161806i
\(856\) 30.1024 + 13.3491i 1.02888 + 0.456261i
\(857\) −1.93367 + 1.54205i −0.0660528 + 0.0526754i −0.655960 0.754796i \(-0.727736\pi\)
0.589907 + 0.807471i \(0.299164\pi\)
\(858\) 19.0095 + 1.22462i 0.648972 + 0.0418080i
\(859\) −3.19241 13.9869i −0.108924 0.477225i −0.999739 0.0228594i \(-0.992723\pi\)
0.890815 0.454366i \(-0.150134\pi\)
\(860\) 65.2904 21.6462i 2.22638 0.738129i
\(861\) 21.3154 16.1909i 0.726427 0.551784i
\(862\) −3.30079 + 2.30142i −0.112425 + 0.0783866i
\(863\) 20.3537i 0.692849i 0.938078 + 0.346425i \(0.112604\pi\)
−0.938078 + 0.346425i \(0.887396\pi\)
\(864\) 2.93776 4.83421i 0.0999446 0.164463i
\(865\) 9.64389 42.2527i 0.327902 1.43663i
\(866\) −23.0703 6.85263i −0.783960 0.232862i
\(867\) −7.75677 9.72668i −0.263434 0.330335i
\(868\) 40.1349 12.2633i 1.36227 0.416244i
\(869\) −13.2751 + 16.6465i −0.450327 + 0.564693i
\(870\) 29.6502 20.6731i 1.00524 0.700883i
\(871\) 7.91856 9.92956i 0.268310 0.336450i
\(872\) −5.20846 1.01790i −0.176381 0.0344703i
\(873\) −7.86782 + 6.27438i −0.266285 + 0.212355i
\(874\) 15.3856 + 38.0268i 0.520427 + 1.28627i
\(875\) −35.6788 + 7.26250i −1.20616 + 0.245517i
\(876\) 15.6246 9.46237i 0.527906 0.319704i
\(877\) 29.4998 + 14.2063i 0.996136 + 0.479714i 0.859626 0.510925i \(-0.170697\pi\)
0.136511 + 0.990639i \(0.456411\pi\)
\(878\) 33.1571 + 18.6833i 1.11900 + 0.630530i
\(879\) 1.85418 3.85025i 0.0625400 0.129866i
\(880\) 37.3644 71.4680i 1.25955 2.40919i
\(881\) 35.1244i 1.18337i −0.806169 0.591685i \(-0.798463\pi\)
0.806169 0.591685i \(-0.201537\pi\)
\(882\) 6.99520 7.00480i 0.235541 0.235864i
\(883\) 42.1821i 1.41954i −0.704433 0.709771i \(-0.748798\pi\)
0.704433 0.709771i \(-0.251202\pi\)
\(884\) 8.85278 + 5.76804i 0.297751 + 0.194000i
\(885\) −10.5168 + 21.8384i −0.353520 + 0.734091i
\(886\) −12.4109 + 22.0255i −0.416952 + 0.739962i
\(887\) −5.16870 2.48912i −0.173548 0.0835763i 0.345093 0.938569i \(-0.387847\pi\)
−0.518641 + 0.854992i \(0.673562\pi\)
\(888\) 6.41003 + 1.25272i 0.215107 + 0.0420385i
\(889\) 15.4948 + 3.92332i 0.519680 + 0.131584i
\(890\) 79.0619 31.9885i 2.65016 1.07226i
\(891\) −4.25622 + 3.39422i −0.142589 + 0.113711i
\(892\) −16.8170 27.7687i −0.563074 0.929766i
\(893\) 20.8039 26.0872i 0.696174 0.872975i
\(894\) 8.75500 + 12.5568i 0.292811 + 0.419962i
\(895\) 25.5444 32.0316i 0.853854 1.07070i
\(896\) 26.6342 + 13.6609i 0.889786 + 0.456378i
\(897\) 7.79421 + 9.77363i 0.260241 + 0.326332i
\(898\) −10.9952 + 37.0168i −0.366915 + 1.23527i
\(899\) 12.1794 53.3614i 0.406205 1.77970i
\(900\) 1.66626 + 17.3520i 0.0555421 + 0.578400i
\(901\) 0.0302053i 0.00100628i
\(902\) −44.5482 63.8930i −1.48329 2.12740i
\(903\) 0.579560 24.5629i 0.0192866 0.817403i
\(904\) −7.88072 + 17.7712i −0.262109 + 0.591060i
\(905\) 5.39922 + 23.6555i 0.179476 + 0.786337i
\(906\) 1.13072 17.5518i 0.0375657 0.583121i
\(907\) −23.3997 + 18.6606i −0.776974 + 0.619616i −0.929559 0.368675i \(-0.879812\pi\)
0.152585 + 0.988290i \(0.451240\pi\)
\(908\) −49.2523 + 16.3290i −1.63449 + 0.541896i
\(909\) −3.02839 + 0.691210i −0.100445 + 0.0229260i
\(910\) −18.9407 28.5796i −0.627878 0.947406i
\(911\) 5.33570 + 1.21784i 0.176780 + 0.0403488i 0.309994 0.950738i \(-0.399673\pi\)
−0.133215 + 0.991087i \(0.542530\pi\)
\(912\) −22.5448 + 4.37013i −0.746533 + 0.144709i
\(913\) 26.7827i 0.886378i
\(914\) 9.81256 + 14.0736i 0.324571 + 0.465513i
\(915\) −1.08936 + 0.524608i −0.0360132 + 0.0173430i
\(916\) −2.22031 2.29466i −0.0733612 0.0758178i
\(917\) 26.9814 12.2181i 0.891005 0.403478i
\(918\) −2.98104 + 0.481282i −0.0983889 + 0.0158847i
\(919\) −58.2028 13.2844i −1.91993 0.438212i −0.998801 0.0489616i \(-0.984409\pi\)
−0.921132 0.389250i \(-0.872734\pi\)
\(920\) 51.2023 13.3909i 1.68809 0.441486i
\(921\) 21.3314 10.2727i 0.702895 0.338496i
\(922\) 0.898695 13.9502i 0.0295969 0.459424i
\(923\) −10.2311 4.92702i −0.336760 0.162175i
\(924\) −19.5372 21.1686i −0.642726 0.696395i
\(925\) −18.1333 + 8.73253i −0.596219 + 0.287124i
\(926\) 19.4290 + 48.0203i 0.638478 + 1.57804i
\(927\) −2.07905 9.10890i −0.0682849 0.299175i
\(928\) 32.7418 21.2616i 1.07480 0.697947i
\(929\) 6.40751 + 5.10982i 0.210224 + 0.167648i 0.722941 0.690910i \(-0.242790\pi\)
−0.512717 + 0.858557i \(0.671361\pi\)
\(930\) 30.7440 + 27.9332i 1.00814 + 0.915966i
\(931\) −40.1431 1.89540i −1.31564 0.0621192i
\(932\) 0.00213134 + 0.0221952i 6.98144e−5 + 0.000727027i
\(933\) −4.53160 + 5.68245i −0.148358 + 0.186035i
\(934\) −1.77175 + 0.716850i −0.0579734 + 0.0234561i
\(935\) −41.9696 + 9.57929i −1.37255 + 0.313276i
\(936\) −6.20676 + 3.23288i −0.202874 + 0.105670i
\(937\) 8.45854 + 17.5643i 0.276329 + 0.573802i 0.992233 0.124397i \(-0.0396995\pi\)
−0.715904 + 0.698199i \(0.753985\pi\)
\(938\) −19.0274 + 2.61303i −0.621268 + 0.0853185i
\(939\) 2.38146 4.94515i 0.0777159 0.161379i
\(940\) −29.9347 30.9372i −0.976364 1.00906i
\(941\) −22.5065 46.7352i −0.733690 1.52352i −0.847952 0.530073i \(-0.822165\pi\)
0.114262 0.993451i \(-0.463550\pi\)
\(942\) −30.8008 + 4.97272i −1.00354 + 0.162020i
\(943\) 11.3744 49.8343i 0.370400 1.62283i
\(944\) −12.1293 + 23.2000i −0.394774 + 0.755097i
\(945\) 9.49878 + 2.40511i 0.308995 + 0.0782382i
\(946\) −71.3474 4.59633i −2.31971 0.149440i
\(947\) 8.93144 + 18.5463i 0.290233 + 0.602675i 0.994199 0.107559i \(-0.0343035\pi\)
−0.703966 + 0.710234i \(0.748589\pi\)
\(948\) 1.00367 7.75753i 0.0325978 0.251953i
\(949\) −22.5979 −0.733559
\(950\) 47.5874 52.3759i 1.54394 1.69930i
\(951\) −7.61891 + 33.3806i −0.247060 + 1.08244i
\(952\) −3.67709 15.5496i −0.119175 0.503964i
\(953\) −8.44962 37.0202i −0.273710 1.19920i −0.905596 0.424141i \(-0.860576\pi\)
0.631886 0.775061i \(-0.282281\pi\)
\(954\) 0.0174293 + 0.00982105i 0.000564296 + 0.000317968i
\(955\) 13.7262 + 17.2121i 0.444169 + 0.556970i
\(956\) 15.5897 + 16.1118i 0.504207 + 0.521091i
\(957\) −36.6279 + 8.36009i −1.18401 + 0.270243i
\(958\) 5.14858 + 2.90111i 0.166343 + 0.0937306i
\(959\) 22.9209 10.3794i 0.740154 0.335167i
\(960\) 1.85946 + 29.5696i 0.0600139 + 0.954354i
\(961\) 31.9000 1.02903
\(962\) −5.98028 5.43352i −0.192812 0.175184i
\(963\) 11.3504 + 2.59066i 0.365762 + 0.0834829i
\(964\) 4.26779 2.58461i 0.137456 0.0832446i
\(965\) 6.35817 5.07047i 0.204677 0.163224i
\(966\) 1.66000 18.8314i 0.0534096 0.605890i
\(967\) 4.17074 + 3.32606i 0.134122 + 0.106959i 0.688253 0.725471i \(-0.258378\pi\)
−0.554131 + 0.832430i \(0.686949\pi\)
\(968\) −40.1589 + 34.1423i −1.29076 + 1.09738i
\(969\) 9.58405 + 7.64302i 0.307884 + 0.245529i
\(970\) 15.0077 50.5252i 0.481867 1.62227i
\(971\) 19.2351 + 24.1200i 0.617282 + 0.774047i 0.987959 0.154714i \(-0.0494457\pi\)
−0.370677 + 0.928762i \(0.620874\pi\)
\(972\) 0.691551 1.87663i 0.0221815 0.0601931i
\(973\) −3.00151 1.53370i −0.0962240 0.0491681i
\(974\) 32.6657 + 9.70278i 1.04668 + 0.310897i
\(975\) 9.35684 19.4297i 0.299659 0.622248i
\(976\) −1.19459 + 0.527561i −0.0382380 + 0.0168868i
\(977\) −34.0468 16.3961i −1.08925 0.524557i −0.198989 0.980002i \(-0.563766\pi\)
−0.890264 + 0.455445i \(0.849480\pi\)
\(978\) −1.13235 + 0.182816i −0.0362086 + 0.00584580i
\(979\) −88.6485 −2.83322
\(980\) −9.07056 + 51.0494i −0.289748 + 1.63071i
\(981\) −1.87631 −0.0599058
\(982\) −25.5044 + 4.11763i −0.813878 + 0.131399i
\(983\) −18.8373 9.07158i −0.600817 0.289338i 0.108646 0.994080i \(-0.465348\pi\)
−0.709464 + 0.704742i \(0.751063\pi\)
\(984\) 26.1588 + 11.6003i 0.833912 + 0.369803i
\(985\) 34.3338 71.2950i 1.09397 2.27165i
\(986\) −19.9767 5.93374i −0.636189 0.188969i
\(987\) −14.0076 + 6.34312i −0.445867 + 0.201904i
\(988\) 26.6575 + 9.82345i 0.848088 + 0.312526i
\(989\) −29.2537 36.6830i −0.930213 1.16645i
\(990\) 8.11862 27.3324i 0.258027 0.868680i
\(991\) −6.16493 4.91637i −0.195836 0.156174i 0.520663 0.853762i \(-0.325685\pi\)
−0.716498 + 0.697589i \(0.754256\pi\)
\(992\) 32.1940 + 31.2465i 1.02216 + 0.992077i
\(993\) 13.8707 + 11.0615i 0.440173 + 0.351026i
\(994\) 6.06347 + 16.0663i 0.192321 + 0.509592i
\(995\) −6.18983 + 4.93622i −0.196231 + 0.156489i
\(996\) 5.09705 + 8.41642i 0.161506 + 0.266685i
\(997\) −16.2622 3.71174i −0.515028 0.117552i −0.0428961 0.999080i \(-0.513658\pi\)
−0.472132 + 0.881528i \(0.656516\pi\)
\(998\) −15.5783 14.1540i −0.493123 0.448038i
\(999\) 2.30916 0.0730586
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 \(a_p\))

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 588.2.x.b.55.14 yes 168
4.3 odd 2 588.2.x.a.55.27 168
49.41 odd 14 588.2.x.a.139.27 yes 168
196.139 even 14 inner 588.2.x.b.139.14 yes 168
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
588.2.x.a.55.27 168 4.3 odd 2
588.2.x.a.139.27 yes 168 49.41 odd 14
588.2.x.b.55.14 yes 168 1.1 even 1 trivial
588.2.x.b.139.14 yes 168 196.139 even 14 inner