Properties

Label 403.2.bl.b.126.1
Level $403$
Weight $2$
Character 403.126
Analytic conductor $3.218$
Analytic rank $0$
Dimension $280$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [403,2,Mod(16,403)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(403, base_ring=CyclotomicField(30))
 
chi = DirichletCharacter(H, H._module([10, 6]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("403.16");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 403 = 13 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 403.bl (of order \(15\), degree \(8\), 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: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(280\)
Relative dimension: \(35\) over \(\Q(\zeta_{15})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 126.1
Character \(\chi\) \(=\) 403.126
Dual form 403.2.bl.b.16.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-2.44344 + 1.08789i) q^{2} +(-0.216774 - 2.06246i) q^{3} +(3.44862 - 3.83009i) q^{4} -2.87099 q^{5} +(2.77340 + 4.80367i) q^{6} +(2.21936 - 2.46485i) q^{7} +(-2.60675 + 8.02276i) q^{8} +(-1.27232 + 0.270439i) q^{9} +O(q^{10})\) \(q+(-2.44344 + 1.08789i) q^{2} +(-0.216774 - 2.06246i) q^{3} +(3.44862 - 3.83009i) q^{4} -2.87099 q^{5} +(2.77340 + 4.80367i) q^{6} +(2.21936 - 2.46485i) q^{7} +(-2.60675 + 8.02276i) q^{8} +(-1.27232 + 0.270439i) q^{9} +(7.01509 - 3.12332i) q^{10} +(3.29131 + 0.699590i) q^{11} +(-8.64698 - 6.28240i) q^{12} +(3.57419 - 0.474524i) q^{13} +(-2.74139 + 8.43712i) q^{14} +(0.622355 + 5.92132i) q^{15} +(-1.28097 - 12.1877i) q^{16} +(5.58366 - 1.18684i) q^{17} +(2.81462 - 2.04494i) q^{18} +(-0.0720284 + 0.685305i) q^{19} +(-9.90098 + 10.9962i) q^{20} +(-5.56476 - 4.04303i) q^{21} +(-8.80320 + 1.87118i) q^{22} +(-5.71945 - 6.35209i) q^{23} +(17.1117 + 3.63721i) q^{24} +3.24261 q^{25} +(-8.21708 + 5.04779i) q^{26} +(-1.08896 - 3.35149i) q^{27} +(-1.78684 - 17.0007i) q^{28} +(-0.973563 + 0.433458i) q^{29} +(-7.96242 - 13.7913i) q^{30} +(-5.49165 + 0.917494i) q^{31} +(7.95316 + 13.7753i) q^{32} +(0.729409 - 6.93986i) q^{33} +(-12.3522 + 8.97437i) q^{34} +(-6.37177 + 7.07657i) q^{35} +(-3.35194 + 5.80572i) q^{36} +(-3.42469 + 5.93174i) q^{37} +(-0.569538 - 1.75286i) q^{38} +(-1.75348 - 7.26877i) q^{39} +(7.48397 - 23.0333i) q^{40} +(6.37189 - 2.83695i) q^{41} +(17.9955 + 3.82506i) q^{42} +(0.641770 - 6.10603i) q^{43} +(14.0300 - 10.1934i) q^{44} +(3.65281 - 0.776429i) q^{45} +(20.8855 + 9.29882i) q^{46} +(4.86584 - 3.53524i) q^{47} +(-24.8589 + 5.28392i) q^{48} +(-0.418223 - 3.97912i) q^{49} +(-7.92311 + 3.52759i) q^{50} +(-3.65821 - 11.2588i) q^{51} +(10.5086 - 15.3259i) q^{52} +(0.595899 - 1.83399i) q^{53} +(6.30686 + 7.00448i) q^{54} +(-9.44934 - 2.00852i) q^{55} +(13.9896 + 24.2306i) q^{56} +1.42903 q^{57} +(1.90729 - 2.11826i) q^{58} +(-9.89702 - 4.40644i) q^{59} +(24.8254 + 18.0367i) q^{60} +(5.35189 + 9.26974i) q^{61} +(12.4204 - 8.21614i) q^{62} +(-2.15714 + 3.73627i) q^{63} +(-14.5904 - 10.6005i) q^{64} +(-10.2615 + 1.36236i) q^{65} +(5.76753 + 17.7506i) q^{66} +(-1.34091 + 2.32252i) q^{67} +(14.7102 - 25.4789i) q^{68} +(-11.8611 + 13.1731i) q^{69} +(7.87051 - 24.2229i) q^{70} +(-1.08741 + 0.231136i) q^{71} +(1.14695 - 10.9125i) q^{72} +(-0.0340146 - 0.104686i) q^{73} +(1.91495 - 18.2195i) q^{74} +(-0.702911 - 6.68775i) q^{75} +(2.37638 + 2.63923i) q^{76} +(9.02900 - 6.55995i) q^{77} +(12.1921 + 15.8532i) q^{78} +(-1.57712 + 4.85386i) q^{79} +(3.67767 + 34.9907i) q^{80} +(-10.2411 + 4.55964i) q^{81} +(-12.4830 + 13.8638i) q^{82} +(0.383457 + 0.278598i) q^{83} +(-34.6759 + 7.37059i) q^{84} +(-16.0306 + 3.40742i) q^{85} +(5.07456 + 15.6179i) q^{86} +(1.10503 + 1.91398i) q^{87} +(-14.1923 + 24.5818i) q^{88} +(-12.1201 - 2.57620i) q^{89} +(-8.08075 + 5.87101i) q^{90} +(6.76278 - 9.86298i) q^{91} -44.0533 q^{92} +(3.08274 + 11.1274i) q^{93} +(-8.04343 + 13.9316i) q^{94} +(0.206793 - 1.96751i) q^{95} +(26.6870 - 19.3892i) q^{96} +(10.2433 - 11.3764i) q^{97} +(5.35074 + 9.26776i) q^{98} -4.37679 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 280 q + q^{2} + 39 q^{4} - 8 q^{5} - 2 q^{7} + 12 q^{8} + 29 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 280 q + q^{2} + 39 q^{4} - 8 q^{5} - 2 q^{7} + 12 q^{8} + 29 q^{9} - 21 q^{10} - q^{11} - 16 q^{12} - 54 q^{14} - 27 q^{15} + 31 q^{16} + 2 q^{17} - 10 q^{18} + 5 q^{19} - 3 q^{20} + 68 q^{21} - 39 q^{22} - 7 q^{23} + 48 q^{24} + 200 q^{25} + 6 q^{26} - 78 q^{27} + 30 q^{28} - 16 q^{29} - 66 q^{30} - 62 q^{31} - 56 q^{32} - 20 q^{33} - 126 q^{34} - 37 q^{35} - 140 q^{36} - 36 q^{37} + 4 q^{38} + 28 q^{39} - 158 q^{40} - 4 q^{41} + 16 q^{42} - 16 q^{43} + 42 q^{44} - 46 q^{45} - 29 q^{46} + 8 q^{47} - 36 q^{48} + 43 q^{49} - 5 q^{50} - 134 q^{51} - q^{52} + 8 q^{53} + 44 q^{54} - 55 q^{55} - 42 q^{56} + 140 q^{57} + 38 q^{58} - 23 q^{59} + 38 q^{60} + 40 q^{61} + 19 q^{62} - 146 q^{63} - 68 q^{64} + 2 q^{65} + 6 q^{66} + 46 q^{67} + 86 q^{68} - 32 q^{69} - 4 q^{70} + 60 q^{71} + 73 q^{72} - 12 q^{73} - 44 q^{74} + 16 q^{75} - 70 q^{76} + 10 q^{77} - 142 q^{78} + 134 q^{79} - 72 q^{80} - 18 q^{81} + 28 q^{82} - 88 q^{83} + 81 q^{84} - 69 q^{85} + 188 q^{86} - 28 q^{87} + 42 q^{88} + 12 q^{89} + 22 q^{90} + 67 q^{91} - 324 q^{92} - 25 q^{93} - 62 q^{94} + 16 q^{95} + 276 q^{96} + 16 q^{97} + 76 q^{98} - 60 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).

\(n\) \(249\) \(313\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{4}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.44344 + 1.08789i −1.72777 + 0.769253i −0.731609 + 0.681724i \(0.761230\pi\)
−0.996162 + 0.0875291i \(0.972103\pi\)
\(3\) −0.216774 2.06246i −0.125154 1.19076i −0.859192 0.511654i \(-0.829033\pi\)
0.734037 0.679109i \(-0.237634\pi\)
\(4\) 3.44862 3.83009i 1.72431 1.91504i
\(5\) −2.87099 −1.28395 −0.641974 0.766727i \(-0.721884\pi\)
−0.641974 + 0.766727i \(0.721884\pi\)
\(6\) 2.77340 + 4.80367i 1.13224 + 1.96109i
\(7\) 2.21936 2.46485i 0.838839 0.931625i −0.159616 0.987179i \(-0.551026\pi\)
0.998456 + 0.0555537i \(0.0176924\pi\)
\(8\) −2.60675 + 8.02276i −0.921626 + 2.83647i
\(9\) −1.27232 + 0.270439i −0.424105 + 0.0901464i
\(10\) 7.01509 3.12332i 2.21837 0.987681i
\(11\) 3.29131 + 0.699590i 0.992369 + 0.210934i 0.675360 0.737488i \(-0.263988\pi\)
0.317009 + 0.948423i \(0.397322\pi\)
\(12\) −8.64698 6.28240i −2.49617 1.81357i
\(13\) 3.57419 0.474524i 0.991302 0.131609i
\(14\) −2.74139 + 8.43712i −0.732666 + 2.25492i
\(15\) 0.622355 + 5.92132i 0.160691 + 1.52888i
\(16\) −1.28097 12.1877i −0.320244 3.04691i
\(17\) 5.58366 1.18684i 1.35424 0.287852i 0.527076 0.849818i \(-0.323288\pi\)
0.827160 + 0.561967i \(0.189955\pi\)
\(18\) 2.81462 2.04494i 0.663412 0.481997i
\(19\) −0.0720284 + 0.685305i −0.0165245 + 0.157220i −0.999672 0.0255916i \(-0.991853\pi\)
0.983148 + 0.182811i \(0.0585197\pi\)
\(20\) −9.90098 + 10.9962i −2.21393 + 2.45881i
\(21\) −5.56476 4.04303i −1.21433 0.882262i
\(22\) −8.80320 + 1.87118i −1.87685 + 0.398936i
\(23\) −5.71945 6.35209i −1.19259 1.32450i −0.933469 0.358657i \(-0.883235\pi\)
−0.259118 0.965846i \(-0.583432\pi\)
\(24\) 17.1117 + 3.63721i 3.49291 + 0.742442i
\(25\) 3.24261 0.648521
\(26\) −8.21708 + 5.04779i −1.61150 + 0.989953i
\(27\) −1.08896 3.35149i −0.209571 0.644994i
\(28\) −1.78684 17.0007i −0.337682 3.21283i
\(29\) −0.973563 + 0.433458i −0.180786 + 0.0804912i −0.495134 0.868817i \(-0.664881\pi\)
0.314348 + 0.949308i \(0.398214\pi\)
\(30\) −7.96242 13.7913i −1.45373 2.51794i
\(31\) −5.49165 + 0.917494i −0.986329 + 0.164787i
\(32\) 7.95316 + 13.7753i 1.40593 + 2.43515i
\(33\) 0.729409 6.93986i 0.126974 1.20808i
\(34\) −12.3522 + 8.97437i −2.11838 + 1.53909i
\(35\) −6.37177 + 7.07657i −1.07703 + 1.19616i
\(36\) −3.35194 + 5.80572i −0.558656 + 0.967621i
\(37\) −3.42469 + 5.93174i −0.563016 + 0.975172i 0.434215 + 0.900809i \(0.357026\pi\)
−0.997231 + 0.0743631i \(0.976308\pi\)
\(38\) −0.569538 1.75286i −0.0923913 0.284351i
\(39\) −1.75348 7.26877i −0.280781 1.16393i
\(40\) 7.48397 23.0333i 1.18332 3.64188i
\(41\) 6.37189 2.83695i 0.995121 0.443057i 0.156445 0.987687i \(-0.449997\pi\)
0.838676 + 0.544630i \(0.183330\pi\)
\(42\) 17.9955 + 3.82506i 2.77677 + 0.590220i
\(43\) 0.641770 6.10603i 0.0978690 0.931161i −0.829876 0.557947i \(-0.811589\pi\)
0.927745 0.373214i \(-0.121744\pi\)
\(44\) 14.0300 10.1934i 2.11510 1.53671i
\(45\) 3.65281 0.776429i 0.544529 0.115743i
\(46\) 20.8855 + 9.29882i 3.07940 + 1.37104i
\(47\) 4.86584 3.53524i 0.709756 0.515668i −0.173339 0.984862i \(-0.555456\pi\)
0.883095 + 0.469194i \(0.155456\pi\)
\(48\) −24.8589 + 5.28392i −3.58807 + 0.762668i
\(49\) −0.418223 3.97912i −0.0597461 0.568446i
\(50\) −7.92311 + 3.52759i −1.12050 + 0.498877i
\(51\) −3.65821 11.2588i −0.512251 1.57655i
\(52\) 10.5086 15.3259i 1.45728 2.12532i
\(53\) 0.595899 1.83399i 0.0818530 0.251918i −0.901752 0.432254i \(-0.857718\pi\)
0.983605 + 0.180336i \(0.0577185\pi\)
\(54\) 6.30686 + 7.00448i 0.858255 + 0.953189i
\(55\) −9.44934 2.00852i −1.27415 0.270829i
\(56\) 13.9896 + 24.2306i 1.86943 + 3.23796i
\(57\) 1.42903 0.189279
\(58\) 1.90729 2.11826i 0.250439 0.278141i
\(59\) −9.89702 4.40644i −1.28848 0.573669i −0.355866 0.934537i \(-0.615814\pi\)
−0.932617 + 0.360868i \(0.882481\pi\)
\(60\) 24.8254 + 18.0367i 3.20495 + 2.32853i
\(61\) 5.35189 + 9.26974i 0.685239 + 1.18687i 0.973362 + 0.229275i \(0.0736356\pi\)
−0.288122 + 0.957594i \(0.593031\pi\)
\(62\) 12.4204 8.21614i 1.57739 1.04345i
\(63\) −2.15714 + 3.73627i −0.271774 + 0.470726i
\(64\) −14.5904 10.6005i −1.82379 1.32506i
\(65\) −10.2615 + 1.36236i −1.27278 + 0.168979i
\(66\) 5.76753 + 17.7506i 0.709934 + 2.18495i
\(67\) −1.34091 + 2.32252i −0.163818 + 0.283741i −0.936235 0.351375i \(-0.885714\pi\)
0.772417 + 0.635116i \(0.219048\pi\)
\(68\) 14.7102 25.4789i 1.78388 3.08977i
\(69\) −11.8611 + 13.1731i −1.42791 + 1.58586i
\(70\) 7.87051 24.2229i 0.940705 2.89519i
\(71\) −1.08741 + 0.231136i −0.129052 + 0.0274308i −0.271985 0.962302i \(-0.587680\pi\)
0.142933 + 0.989732i \(0.454347\pi\)
\(72\) 1.14695 10.9125i 0.135169 1.28605i
\(73\) −0.0340146 0.104686i −0.00398111 0.0122526i 0.949046 0.315137i \(-0.102050\pi\)
−0.953027 + 0.302884i \(0.902050\pi\)
\(74\) 1.91495 18.2195i 0.222608 2.11798i
\(75\) −0.702911 6.68775i −0.0811652 0.772235i
\(76\) 2.37638 + 2.63923i 0.272589 + 0.302741i
\(77\) 9.02900 6.55995i 1.02895 0.747576i
\(78\) 12.1921 + 15.8532i 1.38049 + 1.79502i
\(79\) −1.57712 + 4.85386i −0.177439 + 0.546102i −0.999736 0.0229562i \(-0.992692\pi\)
0.822297 + 0.569058i \(0.192692\pi\)
\(80\) 3.67767 + 34.9907i 0.411176 + 3.91208i
\(81\) −10.2411 + 4.55964i −1.13790 + 0.506626i
\(82\) −12.4830 + 13.8638i −1.37852 + 1.53100i
\(83\) 0.383457 + 0.278598i 0.0420899 + 0.0305801i 0.608631 0.793453i \(-0.291719\pi\)
−0.566541 + 0.824033i \(0.691719\pi\)
\(84\) −34.6759 + 7.37059i −3.78345 + 0.804198i
\(85\) −16.0306 + 3.40742i −1.73877 + 0.369586i
\(86\) 5.07456 + 15.6179i 0.547204 + 1.68412i
\(87\) 1.10503 + 1.91398i 0.118472 + 0.205200i
\(88\) −14.1923 + 24.5818i −1.51290 + 2.62042i
\(89\) −12.1201 2.57620i −1.28473 0.273077i −0.485568 0.874199i \(-0.661387\pi\)
−0.799158 + 0.601122i \(0.794721\pi\)
\(90\) −8.08075 + 5.87101i −0.851786 + 0.618859i
\(91\) 6.76278 9.86298i 0.708932 1.03392i
\(92\) −44.0533 −4.59287
\(93\) 3.08274 + 11.1274i 0.319665 + 1.15386i
\(94\) −8.04343 + 13.9316i −0.829617 + 1.43694i
\(95\) 0.206793 1.96751i 0.0212165 0.201862i
\(96\) 26.6870 19.3892i 2.72373 1.97890i
\(97\) 10.2433 11.3764i 1.04005 1.15510i 0.0523715 0.998628i \(-0.483322\pi\)
0.987683 0.156470i \(-0.0500113\pi\)
\(98\) 5.35074 + 9.26776i 0.540507 + 0.936185i
\(99\) −4.37679 −0.439884
\(100\) 11.1825 12.4195i 1.11825 1.24195i
\(101\) 7.14169 + 7.93166i 0.710625 + 0.789229i 0.985030 0.172385i \(-0.0551474\pi\)
−0.274404 + 0.961614i \(0.588481\pi\)
\(102\) 21.1869 + 23.5305i 2.09782 + 2.32986i
\(103\) −10.6025 7.70314i −1.04469 0.759013i −0.0734962 0.997295i \(-0.523416\pi\)
−0.971196 + 0.238282i \(0.923416\pi\)
\(104\) −5.51003 + 29.9118i −0.540303 + 2.93310i
\(105\) 15.9764 + 11.6075i 1.55914 + 1.13278i
\(106\) 0.539133 + 5.12951i 0.0523652 + 0.498222i
\(107\) −0.571022 0.634184i −0.0552028 0.0613089i 0.714911 0.699216i \(-0.246467\pi\)
−0.770114 + 0.637907i \(0.779801\pi\)
\(108\) −16.5919 7.38719i −1.59656 0.710833i
\(109\) −1.37705 + 1.00049i −0.131898 + 0.0958292i −0.651778 0.758410i \(-0.725977\pi\)
0.519880 + 0.854239i \(0.325977\pi\)
\(110\) 25.2739 5.37214i 2.40977 0.512213i
\(111\) 12.9764 + 5.77745i 1.23166 + 0.548372i
\(112\) −32.8837 23.8914i −3.10721 2.25752i
\(113\) 2.32721 2.58463i 0.218926 0.243142i −0.623671 0.781687i \(-0.714359\pi\)
0.842596 + 0.538546i \(0.181026\pi\)
\(114\) −3.49174 + 1.55462i −0.327032 + 0.145604i
\(115\) 16.4205 + 18.2368i 1.53122 + 1.70059i
\(116\) −1.69727 + 5.22367i −0.157588 + 0.485005i
\(117\) −4.41917 + 1.57035i −0.408552 + 0.145178i
\(118\) 28.9765 2.66750
\(119\) 9.46676 16.3969i 0.867816 1.50310i
\(120\) −49.1276 10.4424i −4.48472 0.953256i
\(121\) 0.294322 + 0.131041i 0.0267566 + 0.0119128i
\(122\) −23.1615 16.8278i −2.09694 1.52352i
\(123\) −7.23235 12.5268i −0.652119 1.12950i
\(124\) −15.4246 + 24.1976i −1.38517 + 2.17301i
\(125\) 5.04547 0.451280
\(126\) 1.20618 11.4761i 0.107455 1.02237i
\(127\) −0.471893 4.48976i −0.0418738 0.398402i −0.995305 0.0967909i \(-0.969142\pi\)
0.953431 0.301611i \(-0.0975245\pi\)
\(128\) 16.0653 + 3.41479i 1.41999 + 0.301828i
\(129\) −12.7326 −1.12104
\(130\) 23.5912 14.4922i 2.06908 1.27105i
\(131\) 4.70155 + 14.4699i 0.410777 + 1.26424i 0.915974 + 0.401237i \(0.131420\pi\)
−0.505198 + 0.863004i \(0.668580\pi\)
\(132\) −24.0648 26.7267i −2.09457 2.32626i
\(133\) 1.52932 + 1.69848i 0.132608 + 0.147277i
\(134\) 0.749781 7.13369i 0.0647712 0.616257i
\(135\) 3.12641 + 9.62210i 0.269079 + 0.828139i
\(136\) −5.03346 + 47.8901i −0.431615 + 4.10654i
\(137\) 2.13495 + 0.950540i 0.182401 + 0.0812101i 0.495905 0.868377i \(-0.334836\pi\)
−0.313504 + 0.949587i \(0.601503\pi\)
\(138\) 14.6510 45.0913i 1.24718 3.83842i
\(139\) 0.729924 + 0.324983i 0.0619113 + 0.0275647i 0.437459 0.899238i \(-0.355879\pi\)
−0.375547 + 0.926803i \(0.622545\pi\)
\(140\) 5.13002 + 48.8088i 0.433565 + 4.12510i
\(141\) −8.34609 9.26927i −0.702867 0.780613i
\(142\) 2.40556 1.74774i 0.201870 0.146667i
\(143\) 12.0958 + 0.938661i 1.01150 + 0.0784948i
\(144\) 4.92582 + 15.1601i 0.410485 + 1.26334i
\(145\) 2.79509 1.24446i 0.232120 0.103346i
\(146\) 0.196999 + 0.218790i 0.0163038 + 0.0181072i
\(147\) −8.11613 + 1.72514i −0.669407 + 0.142287i
\(148\) 10.9086 + 33.5732i 0.896681 + 2.75970i
\(149\) −0.693899 1.20187i −0.0568464 0.0984609i 0.836202 0.548422i \(-0.184771\pi\)
−0.893048 + 0.449961i \(0.851438\pi\)
\(150\) 8.99305 + 15.5764i 0.734279 + 1.27181i
\(151\) −1.36247 4.19325i −0.110876 0.341241i 0.880189 0.474624i \(-0.157416\pi\)
−0.991065 + 0.133383i \(0.957416\pi\)
\(152\) −5.31027 2.36429i −0.430720 0.191769i
\(153\) −6.78321 + 3.02008i −0.548390 + 0.244159i
\(154\) −14.9253 + 25.8514i −1.20271 + 2.08316i
\(155\) 15.7665 2.63412i 1.26639 0.211577i
\(156\) −33.8871 18.3513i −2.71314 1.46928i
\(157\) 5.09236 + 3.69981i 0.406414 + 0.295277i 0.772149 0.635442i \(-0.219182\pi\)
−0.365734 + 0.930719i \(0.619182\pi\)
\(158\) −1.42688 13.5758i −0.113516 1.08004i
\(159\) −3.91171 0.831459i −0.310219 0.0659390i
\(160\) −22.8335 39.5487i −1.80514 3.12660i
\(161\) −28.3505 −2.23433
\(162\) 20.0631 22.2824i 1.57631 1.75067i
\(163\) 15.8058 3.35963i 1.23801 0.263147i 0.458021 0.888941i \(-0.348558\pi\)
0.779988 + 0.625794i \(0.215225\pi\)
\(164\) 11.1085 34.1884i 0.867428 2.66967i
\(165\) −2.09413 + 19.9243i −0.163028 + 1.55111i
\(166\) −1.24004 0.263578i −0.0962455 0.0204576i
\(167\) −18.3153 + 8.15449i −1.41728 + 0.631014i −0.965331 0.261030i \(-0.915938\pi\)
−0.451949 + 0.892044i \(0.649271\pi\)
\(168\) 46.9422 34.1055i 3.62167 2.63130i
\(169\) 12.5497 3.39208i 0.965358 0.260929i
\(170\) 35.4630 25.7654i 2.71989 1.97611i
\(171\) −0.0936903 0.891404i −0.00716468 0.0681673i
\(172\) −21.1734 23.5154i −1.61446 1.79304i
\(173\) −9.16661 4.08124i −0.696925 0.310291i 0.0275225 0.999621i \(-0.491238\pi\)
−0.724447 + 0.689330i \(0.757905\pi\)
\(174\) −4.78227 3.47452i −0.362543 0.263403i
\(175\) 7.19651 7.99254i 0.544005 0.604179i
\(176\) 4.31028 41.0096i 0.324899 3.09121i
\(177\) −6.94270 + 21.3674i −0.521845 + 1.60607i
\(178\) 32.4173 6.89051i 2.42978 0.516465i
\(179\) 15.3683 + 3.26664i 1.14868 + 0.244160i 0.742639 0.669692i \(-0.233574\pi\)
0.406046 + 0.913853i \(0.366907\pi\)
\(180\) 9.62339 16.6682i 0.717285 1.24237i
\(181\) 10.5304 0.782721 0.391360 0.920237i \(-0.372005\pi\)
0.391360 + 0.920237i \(0.372005\pi\)
\(182\) −5.79462 + 31.4567i −0.429526 + 2.33173i
\(183\) 17.9583 13.0475i 1.32752 0.964499i
\(184\) 65.8705 29.3274i 4.85604 2.16205i
\(185\) 9.83227 17.0300i 0.722883 1.25207i
\(186\) −19.6379 23.8355i −1.43992 1.74770i
\(187\) 19.2079 1.40462
\(188\) 3.24019 30.8283i 0.236315 2.24839i
\(189\) −10.6777 4.75402i −0.776689 0.345804i
\(190\) 1.63514 + 5.03244i 0.118626 + 0.365092i
\(191\) −5.20871 9.02175i −0.376889 0.652791i 0.613719 0.789525i \(-0.289673\pi\)
−0.990608 + 0.136734i \(0.956340\pi\)
\(192\) −18.7004 + 32.3900i −1.34958 + 2.33754i
\(193\) −15.9922 3.39925i −1.15114 0.244683i −0.407466 0.913221i \(-0.633587\pi\)
−0.743679 + 0.668537i \(0.766921\pi\)
\(194\) −12.6527 + 38.9411i −0.908413 + 2.79581i
\(195\) 5.03422 + 20.8686i 0.360508 + 1.49443i
\(196\) −16.6827 12.1207i −1.19162 0.865762i
\(197\) −1.29058 0.274321i −0.0919499 0.0195446i 0.161707 0.986839i \(-0.448300\pi\)
−0.253657 + 0.967294i \(0.581633\pi\)
\(198\) 10.6944 4.76146i 0.760019 0.338382i
\(199\) 13.1460 + 5.85299i 0.931898 + 0.414908i 0.815803 0.578330i \(-0.196296\pi\)
0.116095 + 0.993238i \(0.462962\pi\)
\(200\) −8.45267 + 26.0146i −0.597694 + 1.83951i
\(201\) 5.08078 + 2.26211i 0.358371 + 0.159557i
\(202\) −26.0790 11.6111i −1.83491 0.816957i
\(203\) −1.09228 + 3.36169i −0.0766629 + 0.235944i
\(204\) −55.7380 24.8161i −3.90244 1.73748i
\(205\) −18.2936 + 8.14486i −1.27768 + 0.568861i
\(206\) 34.2866 + 7.28785i 2.38886 + 0.507768i
\(207\) 8.99480 + 6.53511i 0.625182 + 0.454221i
\(208\) −10.3618 42.9531i −0.718460 2.97826i
\(209\) −0.716501 + 2.20516i −0.0495614 + 0.152534i
\(210\) −51.6650 10.9817i −3.56522 0.757811i
\(211\) 9.35711 16.2070i 0.644170 1.11574i −0.340323 0.940309i \(-0.610536\pi\)
0.984493 0.175426i \(-0.0561304\pi\)
\(212\) −4.96930 8.60708i −0.341293 0.591137i
\(213\) 0.712430 + 2.19263i 0.0488149 + 0.150237i
\(214\) 2.08518 + 0.928381i 0.142540 + 0.0634628i
\(215\) −1.84252 + 17.5304i −0.125659 + 1.19556i
\(216\) 29.7268 2.02265
\(217\) −9.92646 + 15.5723i −0.673852 + 1.05712i
\(218\) 2.27632 3.94270i 0.154172 0.267034i
\(219\) −0.208538 + 0.0928470i −0.0140917 + 0.00627402i
\(220\) −40.2800 + 29.2652i −2.71568 + 1.97306i
\(221\) 19.3939 6.89158i 1.30457 0.463578i
\(222\) −37.9922 −2.54987
\(223\) −2.26757 + 3.92755i −0.151848 + 0.263008i −0.931907 0.362698i \(-0.881856\pi\)
0.780059 + 0.625706i \(0.215189\pi\)
\(224\) 51.6049 + 10.9690i 3.44800 + 0.732895i
\(225\) −4.12562 + 0.876928i −0.275041 + 0.0584619i
\(226\) −2.87461 + 8.84713i −0.191216 + 0.588502i
\(227\) −2.91715 + 27.7549i −0.193618 + 1.84216i 0.278277 + 0.960501i \(0.410237\pi\)
−0.471896 + 0.881654i \(0.656430\pi\)
\(228\) 4.92818 5.47330i 0.326377 0.362478i
\(229\) −23.6783 17.2033i −1.56471 1.13683i −0.932013 0.362425i \(-0.881949\pi\)
−0.632695 0.774401i \(-0.718051\pi\)
\(230\) −59.9621 26.6968i −3.95378 1.76034i
\(231\) −15.4869 17.1999i −1.01896 1.13167i
\(232\) −0.939693 8.94058i −0.0616939 0.586978i
\(233\) 10.2319 7.43389i 0.670312 0.487010i −0.199818 0.979833i \(-0.564035\pi\)
0.870130 + 0.492823i \(0.164035\pi\)
\(234\) 9.08960 8.64460i 0.594206 0.565116i
\(235\) −13.9698 + 10.1497i −0.911289 + 0.662091i
\(236\) −51.0081 + 22.7103i −3.32035 + 1.47831i
\(237\) 10.3528 + 2.20055i 0.672486 + 0.142941i
\(238\) −5.29343 + 50.3636i −0.343122 + 3.26459i
\(239\) 3.13660 9.65346i 0.202890 0.624430i −0.796904 0.604106i \(-0.793530\pi\)
0.999793 0.0203241i \(-0.00646981\pi\)
\(240\) 71.3697 15.1701i 4.60690 0.979226i
\(241\) −4.11173 + 4.56654i −0.264860 + 0.294157i −0.860875 0.508817i \(-0.830083\pi\)
0.596015 + 0.802973i \(0.296750\pi\)
\(242\) −0.861716 −0.0553932
\(243\) 6.33814 + 10.9780i 0.406592 + 0.704238i
\(244\) 53.9606 + 11.4697i 3.45447 + 0.734270i
\(245\) 1.20071 + 11.4240i 0.0767108 + 0.729855i
\(246\) 31.2996 + 22.7405i 1.99559 + 1.44988i
\(247\) 0.0677503 + 2.48359i 0.00431085 + 0.158027i
\(248\) 6.95454 46.4498i 0.441614 2.94957i
\(249\) 0.491474 0.851258i 0.0311459 0.0539463i
\(250\) −12.3283 + 5.48891i −0.779709 + 0.347149i
\(251\) 20.3703 + 9.06943i 1.28576 + 0.572457i 0.931857 0.362825i \(-0.118188\pi\)
0.353903 + 0.935282i \(0.384854\pi\)
\(252\) 6.87108 + 21.1470i 0.432837 + 1.33214i
\(253\) −14.3806 24.9080i −0.904103 1.56595i
\(254\) 6.03740 + 10.4571i 0.378820 + 0.656136i
\(255\) 10.5027 + 32.3240i 0.657704 + 2.02420i
\(256\) −7.68843 + 1.63423i −0.480527 + 0.102139i
\(257\) 17.9882 + 19.9779i 1.12207 + 1.24619i 0.966028 + 0.258437i \(0.0832074\pi\)
0.156044 + 0.987750i \(0.450126\pi\)
\(258\) 31.1113 13.8516i 1.93690 0.862365i
\(259\) 7.02022 + 21.6060i 0.436215 + 1.34253i
\(260\) −30.1700 + 44.0006i −1.87107 + 2.72880i
\(261\) 1.12146 0.814786i 0.0694164 0.0504340i
\(262\) −27.2296 30.2415i −1.68225 1.86833i
\(263\) 0.170953 + 1.62651i 0.0105414 + 0.100295i 0.998527 0.0542480i \(-0.0172762\pi\)
−0.987986 + 0.154543i \(0.950609\pi\)
\(264\) 53.7755 + 23.9424i 3.30965 + 1.47355i
\(265\) −1.71082 + 5.26537i −0.105095 + 0.323449i
\(266\) −5.58454 2.48640i −0.342410 0.152451i
\(267\) −2.68601 + 25.5557i −0.164381 + 1.56398i
\(268\) 4.27116 + 13.1453i 0.260903 + 0.802976i
\(269\) −1.39748 + 13.2961i −0.0852057 + 0.810678i 0.865568 + 0.500791i \(0.166958\pi\)
−0.950774 + 0.309886i \(0.899709\pi\)
\(270\) −18.1070 20.1098i −1.10195 1.22384i
\(271\) −10.1576 11.2812i −0.617031 0.685282i 0.350925 0.936404i \(-0.385867\pi\)
−0.967956 + 0.251122i \(0.919201\pi\)
\(272\) −21.6173 66.5314i −1.31074 4.03406i
\(273\) −21.8080 11.8100i −1.31988 0.714771i
\(274\) −6.25069 −0.377618
\(275\) 10.6724 + 2.26850i 0.643572 + 0.136795i
\(276\) 9.54958 + 90.8582i 0.574817 + 5.46902i
\(277\) −0.417566 + 3.97288i −0.0250891 + 0.238707i 0.974790 + 0.223126i \(0.0716263\pi\)
−0.999879 + 0.0155805i \(0.995040\pi\)
\(278\) −2.13707 −0.128173
\(279\) 6.73899 2.65250i 0.403453 0.158801i
\(280\) −40.1640 69.5660i −2.40026 4.15736i
\(281\) 1.95590 + 1.42104i 0.116679 + 0.0847724i 0.644595 0.764525i \(-0.277026\pi\)
−0.527915 + 0.849297i \(0.677026\pi\)
\(282\) 30.4771 + 13.5693i 1.81488 + 0.808038i
\(283\) 2.89336 + 0.615002i 0.171992 + 0.0365581i 0.293103 0.956081i \(-0.405312\pi\)
−0.121110 + 0.992639i \(0.538646\pi\)
\(284\) −2.86479 + 4.96197i −0.169994 + 0.294439i
\(285\) −4.10273 −0.243025
\(286\) −30.5764 + 10.8653i −1.80802 + 0.642477i
\(287\) 7.14887 22.0019i 0.421984 1.29873i
\(288\) −13.8443 15.3757i −0.815784 0.906020i
\(289\) 14.2384 6.33932i 0.837550 0.372901i
\(290\) −5.47581 + 6.08150i −0.321551 + 0.357118i
\(291\) −25.6839 18.6604i −1.50561 1.09389i
\(292\) −0.518261 0.230745i −0.0303289 0.0135033i
\(293\) −2.67781 + 0.569186i −0.156439 + 0.0332522i −0.285465 0.958389i \(-0.592148\pi\)
0.129026 + 0.991641i \(0.458815\pi\)
\(294\) 17.9545 13.0447i 1.04713 0.760783i
\(295\) 28.4143 + 12.6509i 1.65434 + 0.736561i
\(296\) −38.6616 42.9381i −2.24716 2.49572i
\(297\) −1.23946 11.7926i −0.0719205 0.684278i
\(298\) 3.00300 + 2.18181i 0.173959 + 0.126389i
\(299\) −23.4566 19.9896i −1.35653 1.15603i
\(300\) −28.0387 20.3713i −1.61882 1.17614i
\(301\) −13.6261 15.1334i −0.785397 0.872272i
\(302\) 7.89089 + 8.76372i 0.454070 + 0.504295i
\(303\) 14.8106 16.4488i 0.850847 0.944962i
\(304\) 8.44452 0.484327
\(305\) −15.3652 26.6134i −0.879811 1.52388i
\(306\) 13.2888 14.7588i 0.759672 0.843702i
\(307\) 23.2740 16.9096i 1.32832 0.965081i 0.328532 0.944493i \(-0.393446\pi\)
0.999788 0.0205880i \(-0.00655382\pi\)
\(308\) 6.01245 57.2046i 0.342591 3.25954i
\(309\) −13.5891 + 23.5370i −0.773057 + 1.33897i
\(310\) −35.6588 + 23.5885i −2.02528 + 1.33974i
\(311\) 13.4780 0.764266 0.382133 0.924107i \(-0.375190\pi\)
0.382133 + 0.924107i \(0.375190\pi\)
\(312\) 62.8864 + 4.88015i 3.56024 + 0.276284i
\(313\) −25.5527 + 18.5651i −1.44432 + 1.04936i −0.457206 + 0.889361i \(0.651150\pi\)
−0.987117 + 0.160001i \(0.948850\pi\)
\(314\) −16.4678 3.50035i −0.929334 0.197536i
\(315\) 6.19313 10.7268i 0.348943 0.604387i
\(316\) 13.1518 + 22.7796i 0.739848 + 1.28145i
\(317\) 2.97575 + 9.15842i 0.167135 + 0.514388i 0.999187 0.0403090i \(-0.0128342\pi\)
−0.832052 + 0.554697i \(0.812834\pi\)
\(318\) 10.4625 2.22388i 0.586711 0.124709i
\(319\) −3.50755 + 0.745552i −0.196385 + 0.0417429i
\(320\) 41.8888 + 30.4340i 2.34166 + 1.70131i
\(321\) −1.18420 + 1.31519i −0.0660955 + 0.0734065i
\(322\) 69.2726 30.8421i 3.86041 1.71877i
\(323\) 0.411167 + 3.91199i 0.0228779 + 0.217669i
\(324\) −17.8540 + 54.9488i −0.991886 + 3.05271i
\(325\) 11.5897 1.53869i 0.642880 0.0853514i
\(326\) −34.9657 + 25.4040i −1.93657 + 1.40700i
\(327\) 2.36197 + 2.62324i 0.130617 + 0.145065i
\(328\) 6.15021 + 58.5153i 0.339588 + 3.23097i
\(329\) 2.08522 19.8395i 0.114962 1.09379i
\(330\) −16.5585 50.9620i −0.911518 2.80536i
\(331\) −1.02277 + 9.73103i −0.0562167 + 0.534866i 0.929782 + 0.368111i \(0.119995\pi\)
−0.985998 + 0.166755i \(0.946671\pi\)
\(332\) 2.38945 0.507894i 0.131138 0.0278743i
\(333\) 2.75312 8.47322i 0.150870 0.464330i
\(334\) 35.8811 39.8500i 1.96333 2.18049i
\(335\) 3.84974 6.66794i 0.210334 0.364308i
\(336\) −42.1468 + 73.0003i −2.29929 + 3.98250i
\(337\) −4.88137 15.0233i −0.265905 0.818372i −0.991483 0.130233i \(-0.958428\pi\)
0.725578 0.688140i \(-0.241572\pi\)
\(338\) −26.9741 + 21.9410i −1.46720 + 1.19343i
\(339\) −5.83518 4.23951i −0.316924 0.230258i
\(340\) −42.2330 + 73.1496i −2.29040 + 3.96710i
\(341\) −18.7166 0.822145i −1.01356 0.0445217i
\(342\) 1.19867 + 2.07616i 0.0648169 + 0.112266i
\(343\) 8.04721 + 5.84664i 0.434508 + 0.315689i
\(344\) 47.3143 + 21.0657i 2.55102 + 1.13579i
\(345\) 34.0532 37.8199i 1.83336 2.03616i
\(346\) 26.8380 1.44282
\(347\) −10.1456 17.5726i −0.544642 0.943347i −0.998629 0.0523391i \(-0.983332\pi\)
0.453988 0.891008i \(-0.350001\pi\)
\(348\) 11.1415 + 2.36821i 0.597249 + 0.126949i
\(349\) 5.11907 + 5.68530i 0.274017 + 0.304327i 0.864409 0.502790i \(-0.167693\pi\)
−0.590391 + 0.807117i \(0.701026\pi\)
\(350\) −8.88924 + 27.3583i −0.475150 + 1.46236i
\(351\) −5.48253 11.4621i −0.292636 0.611802i
\(352\) 16.5393 + 50.9027i 0.881548 + 2.71312i
\(353\) 30.1822 13.4380i 1.60644 0.715232i 0.609453 0.792822i \(-0.291389\pi\)
0.996985 + 0.0775896i \(0.0247224\pi\)
\(354\) −6.28133 59.7629i −0.333849 3.17636i
\(355\) 3.12194 0.663589i 0.165696 0.0352197i
\(356\) −51.6647 + 37.5366i −2.73822 + 1.98944i
\(357\) −35.8701 15.9704i −1.89845 0.845244i
\(358\) −41.1053 + 8.73721i −2.17248 + 0.461776i
\(359\) 18.6128 13.5230i 0.982348 0.713717i 0.0241155 0.999709i \(-0.492323\pi\)
0.958232 + 0.285992i \(0.0923231\pi\)
\(360\) −3.29287 + 31.3296i −0.173550 + 1.65121i
\(361\) 18.1204 + 3.85160i 0.953703 + 0.202716i
\(362\) −25.7305 + 11.4559i −1.35236 + 0.602111i
\(363\) 0.206465 0.635435i 0.0108366 0.0333517i
\(364\) −14.4537 59.9157i −0.757582 3.14044i
\(365\) 0.0976557 + 0.300553i 0.00511153 + 0.0157317i
\(366\) −29.6859 + 51.4174i −1.55171 + 2.68763i
\(367\) −4.37258 + 7.57353i −0.228247 + 0.395335i −0.957289 0.289134i \(-0.906633\pi\)
0.729042 + 0.684469i \(0.239966\pi\)
\(368\) −70.0906 + 77.8435i −3.65373 + 4.05787i
\(369\) −7.33983 + 5.33270i −0.382097 + 0.277609i
\(370\) −5.49781 + 52.3081i −0.285817 + 2.71937i
\(371\) −3.19799 5.53908i −0.166031 0.287575i
\(372\) 53.2502 + 26.5672i 2.76089 + 1.37744i
\(373\) 11.5086 + 19.9335i 0.595893 + 1.03212i 0.993420 + 0.114527i \(0.0365351\pi\)
−0.397527 + 0.917590i \(0.630132\pi\)
\(374\) −46.9332 + 20.8960i −2.42686 + 1.08051i
\(375\) −1.09372 10.4061i −0.0564796 0.537368i
\(376\) 15.6783 + 48.2530i 0.808549 + 2.48846i
\(377\) −3.27401 + 2.01124i −0.168620 + 0.103584i
\(378\) 31.2622 1.60795
\(379\) −15.7746 3.35300i −0.810288 0.172232i −0.215905 0.976414i \(-0.569270\pi\)
−0.594383 + 0.804182i \(0.702604\pi\)
\(380\) −6.82256 7.57722i −0.349990 0.388703i
\(381\) −9.15768 + 1.94652i −0.469162 + 0.0997234i
\(382\) 22.5418 + 16.3776i 1.15334 + 0.837951i
\(383\) 5.00203 5.55532i 0.255592 0.283864i −0.601669 0.798745i \(-0.705497\pi\)
0.857261 + 0.514882i \(0.172164\pi\)
\(384\) 3.56034 33.8744i 0.181688 1.72865i
\(385\) −25.9222 + 18.8336i −1.32112 + 0.959848i
\(386\) 42.7740 9.09189i 2.17714 0.462765i
\(387\) 0.834776 + 7.94237i 0.0424341 + 0.403733i
\(388\) −8.24709 78.4658i −0.418682 3.98350i
\(389\) −2.07201 + 6.37701i −0.105055 + 0.323327i −0.989743 0.142856i \(-0.954371\pi\)
0.884688 + 0.466183i \(0.154371\pi\)
\(390\) −35.0035 45.5144i −1.77247 2.30471i
\(391\) −39.4744 28.6798i −1.99630 1.45040i
\(392\) 33.0137 + 7.01729i 1.66745 + 0.354427i
\(393\) 28.8244 12.8335i 1.45400 0.647363i
\(394\) 3.45188 0.733719i 0.173903 0.0369642i
\(395\) 4.52789 13.9354i 0.227823 0.701167i
\(396\) −15.0939 + 16.7635i −0.758497 + 0.842397i
\(397\) 4.17780 + 7.23616i 0.209678 + 0.363172i 0.951613 0.307299i \(-0.0994252\pi\)
−0.741935 + 0.670471i \(0.766092\pi\)
\(398\) −38.4889 −1.92928
\(399\) 3.17153 3.52234i 0.158775 0.176338i
\(400\) −4.15369 39.5198i −0.207685 1.97599i
\(401\) 21.2689 9.46950i 1.06212 0.472884i 0.200105 0.979774i \(-0.435872\pi\)
0.862011 + 0.506890i \(0.169205\pi\)
\(402\) −14.8755 −0.741922
\(403\) −19.1928 + 5.88521i −0.956062 + 0.293163i
\(404\) 55.0079 2.73675
\(405\) 29.4022 13.0907i 1.46101 0.650482i
\(406\) −0.988227 9.40235i −0.0490449 0.466631i
\(407\) −15.4215 + 17.1273i −0.764417 + 0.848971i
\(408\) 99.8627 4.94394
\(409\) 9.35216 + 16.1984i 0.462434 + 0.800960i 0.999082 0.0428468i \(-0.0136427\pi\)
−0.536647 + 0.843807i \(0.680309\pi\)
\(410\) 35.8387 39.8029i 1.76995 1.96572i
\(411\) 1.49765 4.60930i 0.0738738 0.227360i
\(412\) −66.0676 + 14.0431i −3.25492 + 0.691854i
\(413\) −32.8263 + 14.6152i −1.61527 + 0.719167i
\(414\) −29.0877 6.18278i −1.42958 0.303867i
\(415\) −1.10090 0.799852i −0.0540412 0.0392632i
\(416\) 34.9628 + 45.4615i 1.71419 + 2.22893i
\(417\) 0.512037 1.57589i 0.0250746 0.0771715i
\(418\) −0.648246 6.16765i −0.0317068 0.301670i
\(419\) 1.41942 + 13.5049i 0.0693433 + 0.659757i 0.972890 + 0.231268i \(0.0742874\pi\)
−0.903547 + 0.428489i \(0.859046\pi\)
\(420\) 99.5543 21.1609i 4.85775 1.03255i
\(421\) −29.5661 + 21.4810i −1.44096 + 1.04692i −0.453121 + 0.891449i \(0.649689\pi\)
−0.987840 + 0.155471i \(0.950311\pi\)
\(422\) −5.23212 + 49.7803i −0.254695 + 2.42327i
\(423\) −5.23482 + 5.81386i −0.254526 + 0.282680i
\(424\) 13.1603 + 9.56151i 0.639120 + 0.464348i
\(425\) 18.1056 3.84846i 0.878251 0.186678i
\(426\) −4.12612 4.58252i −0.199911 0.222024i
\(427\) 34.7263 + 7.38130i 1.68052 + 0.357206i
\(428\) −4.39822 −0.212596
\(429\) −0.686086 25.1505i −0.0331245 1.21428i
\(430\) −14.5690 44.8388i −0.702581 2.16232i
\(431\) 1.30087 + 12.3770i 0.0626609 + 0.596179i 0.980128 + 0.198367i \(0.0635637\pi\)
−0.917467 + 0.397812i \(0.869770\pi\)
\(432\) −39.4518 + 17.5651i −1.89813 + 0.845101i
\(433\) 0.720399 + 1.24777i 0.0346202 + 0.0599639i 0.882816 0.469718i \(-0.155645\pi\)
−0.848196 + 0.529682i \(0.822311\pi\)
\(434\) 7.31373 48.8489i 0.351070 2.34482i
\(435\) −3.17255 5.49501i −0.152112 0.263466i
\(436\) −0.916985 + 8.72453i −0.0439156 + 0.417829i
\(437\) 4.76508 3.46203i 0.227945 0.165612i
\(438\) 0.408542 0.453732i 0.0195209 0.0216801i
\(439\) 7.43263 12.8737i 0.354740 0.614428i −0.632333 0.774696i \(-0.717903\pi\)
0.987073 + 0.160269i \(0.0512360\pi\)
\(440\) 40.7460 70.5741i 1.94249 3.36449i
\(441\) 1.60822 + 4.94960i 0.0765820 + 0.235695i
\(442\) −39.8904 + 37.9375i −1.89739 + 1.80450i
\(443\) 1.11279 3.42482i 0.0528703 0.162718i −0.921135 0.389243i \(-0.872737\pi\)
0.974005 + 0.226525i \(0.0727366\pi\)
\(444\) 66.8788 29.7763i 3.17393 1.41312i
\(445\) 34.7967 + 7.39626i 1.64952 + 0.350616i
\(446\) 1.26793 12.0636i 0.0600385 0.571228i
\(447\) −2.32839 + 1.69167i −0.110129 + 0.0800134i
\(448\) −58.5099 + 12.4367i −2.76433 + 0.587577i
\(449\) 12.7637 + 5.68276i 0.602355 + 0.268186i 0.685175 0.728379i \(-0.259726\pi\)
−0.0828194 + 0.996565i \(0.526392\pi\)
\(450\) 9.12670 6.63093i 0.430237 0.312585i
\(451\) 22.9566 4.87957i 1.08098 0.229770i
\(452\) −1.87368 17.8268i −0.0881303 0.838504i
\(453\) −8.35306 + 3.71902i −0.392461 + 0.174735i
\(454\) −23.0663 70.9908i −1.08256 3.33176i
\(455\) −19.4159 + 28.3165i −0.910232 + 1.32750i
\(456\) −3.72512 + 11.4648i −0.174445 + 0.536886i
\(457\) 18.7374 + 20.8100i 0.876498 + 0.973450i 0.999821 0.0189170i \(-0.00602183\pi\)
−0.123323 + 0.992367i \(0.539355\pi\)
\(458\) 76.5718 + 16.2758i 3.57796 + 0.760520i
\(459\) −10.0581 17.4211i −0.469472 0.813149i
\(460\) 126.477 5.89701
\(461\) 0.825591 0.916911i 0.0384516 0.0427048i −0.723612 0.690207i \(-0.757520\pi\)
0.762064 + 0.647502i \(0.224186\pi\)
\(462\) 56.5529 + 25.1790i 2.63108 + 1.17143i
\(463\) −10.5784 7.68563i −0.491618 0.357182i 0.314188 0.949361i \(-0.398268\pi\)
−0.805806 + 0.592179i \(0.798268\pi\)
\(464\) 6.52995 + 11.3102i 0.303145 + 0.525063i
\(465\) −8.85053 31.9468i −0.410433 1.48150i
\(466\) −16.9137 + 29.2954i −0.783512 + 1.35708i
\(467\) −32.6590 23.7282i −1.51128 1.09801i −0.965606 0.260009i \(-0.916274\pi\)
−0.545672 0.837999i \(-0.683726\pi\)
\(468\) −9.22550 + 22.3413i −0.426449 + 1.03273i
\(469\) 2.74870 + 8.45964i 0.126923 + 0.390630i
\(470\) 23.0926 39.9976i 1.06518 1.84495i
\(471\) 6.52684 11.3048i 0.300741 0.520898i
\(472\) 61.1509 67.9149i 2.81470 3.12604i
\(473\) 6.38399 19.6479i 0.293536 0.903411i
\(474\) −27.6903 + 5.88576i −1.27186 + 0.270342i
\(475\) −0.233560 + 2.22217i −0.0107165 + 0.101960i
\(476\) −30.1543 92.8052i −1.38212 4.25372i
\(477\) −0.262190 + 2.49457i −0.0120048 + 0.114218i
\(478\) 2.83780 + 26.9999i 0.129798 + 1.23495i
\(479\) 16.3035 + 18.1069i 0.744928 + 0.827326i 0.989835 0.142221i \(-0.0454242\pi\)
−0.244907 + 0.969546i \(0.578758\pi\)
\(480\) −76.6181 + 55.6663i −3.49712 + 2.54081i
\(481\) −9.42574 + 22.8263i −0.429777 + 1.04079i
\(482\) 5.07887 15.6312i 0.231336 0.711980i
\(483\) 6.14563 + 58.4718i 0.279636 + 2.66056i
\(484\) 1.51690 0.675369i 0.0689502 0.0306986i
\(485\) −29.4086 + 32.6615i −1.33538 + 1.48308i
\(486\) −27.4297 19.9288i −1.24423 0.903990i
\(487\) 13.6919 2.91031i 0.620441 0.131879i 0.113042 0.993590i \(-0.463941\pi\)
0.507399 + 0.861711i \(0.330607\pi\)
\(488\) −88.3199 + 18.7730i −3.99806 + 0.849813i
\(489\) −10.3554 31.8707i −0.468288 1.44124i
\(490\) −15.3619 26.6077i −0.693982 1.20201i
\(491\) 8.19549 14.1950i 0.369857 0.640612i −0.619686 0.784850i \(-0.712740\pi\)
0.989543 + 0.144238i \(0.0460732\pi\)
\(492\) −72.9204 15.4997i −3.28750 0.698781i
\(493\) −4.92160 + 3.57575i −0.221658 + 0.161044i
\(494\) −2.86741 5.99479i −0.129011 0.269718i
\(495\) 12.5657 0.564788
\(496\) 18.2168 + 65.7550i 0.817956 + 2.95249i
\(497\) −1.84364 + 3.19327i −0.0826984 + 0.143238i
\(498\) −0.274812 + 2.61466i −0.0123146 + 0.117166i
\(499\) 10.9380 7.94694i 0.489653 0.355754i −0.315398 0.948960i \(-0.602138\pi\)
0.805051 + 0.593206i \(0.202138\pi\)
\(500\) 17.3999 19.3246i 0.778148 0.864221i
\(501\) 20.7886 + 36.0069i 0.928766 + 1.60867i
\(502\) −59.6400 −2.66186
\(503\) −23.8977 + 26.5411i −1.06555 + 1.18341i −0.0831611 + 0.996536i \(0.526502\pi\)
−0.982384 + 0.186872i \(0.940165\pi\)
\(504\) −24.3521 27.0457i −1.08473 1.20471i
\(505\) −20.5038 22.7717i −0.912405 1.01333i
\(506\) 62.2353 + 45.2166i 2.76670 + 2.01012i
\(507\) −9.71646 25.1479i −0.431523 1.11686i
\(508\) −18.8236 13.6761i −0.835161 0.606780i
\(509\) 0.935736 + 8.90293i 0.0414757 + 0.394615i 0.995491 + 0.0948570i \(0.0302394\pi\)
−0.954015 + 0.299758i \(0.903094\pi\)
\(510\) −60.8275 67.5558i −2.69349 2.99142i
\(511\) −0.333526 0.148496i −0.0147543 0.00656905i
\(512\) −9.56665 + 6.95058i −0.422790 + 0.307175i
\(513\) 2.37523 0.504870i 0.104869 0.0222906i
\(514\) −65.6867 29.2456i −2.89732 1.28997i
\(515\) 30.4396 + 22.1157i 1.34133 + 0.974533i
\(516\) −43.9099 + 48.7669i −1.93302 + 2.14684i
\(517\) 18.4882 8.23149i 0.813112 0.362021i
\(518\) −40.6584 45.1557i −1.78643 1.98403i
\(519\) −6.43032 + 19.7905i −0.282260 + 0.868706i
\(520\) 15.8193 85.8767i 0.693721 3.76594i
\(521\) −11.9399 −0.523095 −0.261547 0.965191i \(-0.584233\pi\)
−0.261547 + 0.965191i \(0.584233\pi\)
\(522\) −1.85381 + 3.21090i −0.0811392 + 0.140537i
\(523\) 6.78367 + 1.44191i 0.296629 + 0.0630505i 0.353822 0.935313i \(-0.384882\pi\)
−0.0571930 + 0.998363i \(0.518215\pi\)
\(524\) 71.6348 + 31.8939i 3.12938 + 1.39329i
\(525\) −18.0443 13.1100i −0.787518 0.572166i
\(526\) −2.18718 3.78830i −0.0953654 0.165178i
\(527\) −29.5746 + 11.6407i −1.28829 + 0.507077i
\(528\) −85.5150 −3.72156
\(529\) −5.23282 + 49.7869i −0.227514 + 2.16465i
\(530\) −1.54785 14.7268i −0.0672342 0.639691i
\(531\) 13.7838 + 2.92984i 0.598167 + 0.127144i
\(532\) 11.7793 0.510699
\(533\) 21.4281 13.1634i 0.928155 0.570170i
\(534\) −21.2386 65.3657i −0.919085 2.82865i
\(535\) 1.63940 + 1.82074i 0.0708775 + 0.0787174i
\(536\) −15.1376 16.8120i −0.653845 0.726168i
\(537\) 3.40588 32.4048i 0.146974 1.39837i
\(538\) −11.0500 34.0085i −0.476401 1.46621i
\(539\) 1.40725 13.3891i 0.0606147 0.576711i
\(540\) 47.6353 + 21.2086i 2.04990 + 0.912672i
\(541\) −6.43577 + 19.8073i −0.276695 + 0.851581i 0.712071 + 0.702108i \(0.247758\pi\)
−0.988766 + 0.149473i \(0.952242\pi\)
\(542\) 37.0921 + 16.5145i 1.59324 + 0.709358i
\(543\) −2.28272 21.7186i −0.0979608 0.932035i
\(544\) 60.7568 + 67.4773i 2.60493 + 2.89306i
\(545\) 3.95351 2.87239i 0.169350 0.123040i
\(546\) 66.1344 + 5.13220i 2.83029 + 0.219638i
\(547\) 14.3630 + 44.2048i 0.614118 + 1.89006i 0.413948 + 0.910300i \(0.364149\pi\)
0.200170 + 0.979761i \(0.435851\pi\)
\(548\) 11.0033 4.89898i 0.470037 0.209274i
\(549\) −9.31620 10.3467i −0.397606 0.441586i
\(550\) −28.5453 + 6.06749i −1.21718 + 0.258719i
\(551\) −0.226927 0.698409i −0.00966740 0.0297532i
\(552\) −74.7657 129.498i −3.18224 5.51180i
\(553\) 8.46385 + 14.6598i 0.359920 + 0.623399i
\(554\) −3.30175 10.1617i −0.140278 0.431731i
\(555\) −37.2551 16.5870i −1.58139 0.704080i
\(556\) 3.76194 1.67493i 0.159542 0.0710327i
\(557\) 8.29570 14.3686i 0.351500 0.608816i −0.635012 0.772502i \(-0.719005\pi\)
0.986513 + 0.163686i \(0.0523383\pi\)
\(558\) −13.5807 + 13.8125i −0.574916 + 0.584729i
\(559\) −0.603652 22.1286i −0.0255318 0.935942i
\(560\) 94.4088 + 68.5920i 3.98950 + 2.89854i
\(561\) −4.16376 39.6155i −0.175794 1.67257i
\(562\) −6.32506 1.34443i −0.266806 0.0567114i
\(563\) 11.8399 + 20.5072i 0.498990 + 0.864276i 0.999999 0.00116562i \(-0.000371027\pi\)
−0.501009 + 0.865442i \(0.667038\pi\)
\(564\) −64.2846 −2.70687
\(565\) −6.68141 + 7.42046i −0.281089 + 0.312181i
\(566\) −7.73880 + 1.64493i −0.325286 + 0.0691416i
\(567\) −11.4899 + 35.3623i −0.482531 + 1.48508i
\(568\) 0.980258 9.32653i 0.0411307 0.391332i
\(569\) 15.6821 + 3.33333i 0.657427 + 0.139740i 0.524533 0.851390i \(-0.324240\pi\)
0.132893 + 0.991130i \(0.457573\pi\)
\(570\) 10.0248 4.46332i 0.419891 0.186948i
\(571\) 9.30999 6.76410i 0.389611 0.283069i −0.375685 0.926747i \(-0.622593\pi\)
0.765296 + 0.643679i \(0.222593\pi\)
\(572\) 45.3089 43.0907i 1.89446 1.80171i
\(573\) −17.4779 + 12.6984i −0.730150 + 0.530485i
\(574\) 6.46786 + 61.5375i 0.269963 + 2.56853i
\(575\) −18.5459 20.5973i −0.773418 0.858968i
\(576\) 21.4303 + 9.54141i 0.892931 + 0.397559i
\(577\) 3.90551 + 2.83752i 0.162588 + 0.118127i 0.666104 0.745859i \(-0.267961\pi\)
−0.503516 + 0.863986i \(0.667961\pi\)
\(578\) −27.8941 + 30.9795i −1.16024 + 1.28858i
\(579\) −3.54413 + 33.7202i −0.147289 + 1.40136i
\(580\) 4.87286 14.9971i 0.202334 0.622721i
\(581\) 1.53773 0.326855i 0.0637958 0.0135602i
\(582\) 83.0574 + 17.6544i 3.44284 + 0.731798i
\(583\) 3.24433 5.61935i 0.134367 0.232730i
\(584\) 0.928540 0.0384232
\(585\) 12.6874 4.50845i 0.524560 0.186402i
\(586\) 5.92385 4.30393i 0.244712 0.177794i
\(587\) −29.8048 + 13.2700i −1.23018 + 0.547710i −0.915818 0.401594i \(-0.868456\pi\)
−0.314359 + 0.949304i \(0.601790\pi\)
\(588\) −21.3821 + 37.0348i −0.881781 + 1.52729i
\(589\) −0.233208 3.82954i −0.00960916 0.157793i
\(590\) −83.1913 −3.42493
\(591\) −0.286013 + 2.72123i −0.0117650 + 0.111937i
\(592\) 76.6809 + 34.1406i 3.15157 + 1.40317i
\(593\) −7.54965 23.2354i −0.310027 0.954165i −0.977753 0.209758i \(-0.932732\pi\)
0.667726 0.744407i \(-0.267268\pi\)
\(594\) 15.8576 + 27.4662i 0.650645 + 1.12695i
\(595\) −27.1790 + 47.0754i −1.11423 + 1.92990i
\(596\) −6.99626 1.48710i −0.286578 0.0609140i
\(597\) 9.22186 28.3820i 0.377426 1.16160i
\(598\) 79.0612 + 23.3251i 3.23305 + 0.953833i
\(599\) −7.99423 5.80814i −0.326635 0.237314i 0.412366 0.911018i \(-0.364702\pi\)
−0.739002 + 0.673704i \(0.764702\pi\)
\(600\) 55.4865 + 11.7940i 2.26523 + 0.481489i
\(601\) 7.85478 3.49717i 0.320403 0.142653i −0.240232 0.970715i \(-0.577224\pi\)
0.560635 + 0.828063i \(0.310557\pi\)
\(602\) 49.7580 + 22.1537i 2.02798 + 0.902917i
\(603\) 1.07796 3.31761i 0.0438978 0.135104i
\(604\) −20.7591 9.24256i −0.844677 0.376074i
\(605\) −0.844998 0.376217i −0.0343540 0.0152954i
\(606\) −18.2943 + 56.3040i −0.743155 + 2.28719i
\(607\) 28.5228 + 12.6992i 1.15770 + 0.515443i 0.893517 0.449029i \(-0.148230\pi\)
0.264186 + 0.964472i \(0.414897\pi\)
\(608\) −10.0131 + 4.45813i −0.406085 + 0.180801i
\(609\) 7.17013 + 1.52406i 0.290548 + 0.0617579i
\(610\) 66.4964 + 48.3125i 2.69236 + 1.95611i
\(611\) 15.7139 14.9446i 0.635716 0.604593i
\(612\) −11.8256 + 36.3954i −0.478021 + 1.47120i
\(613\) −26.1460 5.55751i −1.05603 0.224466i −0.352997 0.935624i \(-0.614837\pi\)
−0.703032 + 0.711158i \(0.748171\pi\)
\(614\) −38.4729 + 66.6371i −1.55264 + 2.68925i
\(615\) 20.7640 + 35.9644i 0.837287 + 1.45022i
\(616\) 29.0925 + 89.5376i 1.17217 + 3.60757i
\(617\) −32.4599 14.4521i −1.30679 0.581819i −0.369129 0.929378i \(-0.620344\pi\)
−0.937658 + 0.347559i \(0.887011\pi\)
\(618\) 7.59848 72.2947i 0.305656 2.90812i
\(619\) 35.1651 1.41340 0.706702 0.707512i \(-0.250182\pi\)
0.706702 + 0.707512i \(0.250182\pi\)
\(620\) 44.2838 69.4711i 1.77848 2.79003i
\(621\) −15.0607 + 26.0859i −0.604364 + 1.04679i
\(622\) −32.9326 + 14.6625i −1.32048 + 0.587914i
\(623\) −33.2488 + 24.1566i −1.33208 + 0.967816i
\(624\) −86.3430 + 30.6819i −3.45649 + 1.22826i
\(625\) −30.6985 −1.22794
\(626\) 42.2396 73.1611i 1.68823 2.92411i
\(627\) 4.70338 + 0.999735i 0.187835 + 0.0399256i
\(628\) 31.7322 6.74489i 1.26625 0.269151i
\(629\) −12.0823 + 37.1854i −0.481751 + 1.48268i
\(630\) −3.46294 + 32.9477i −0.137967 + 1.31267i
\(631\) 27.1628 30.1674i 1.08133 1.20094i 0.102834 0.994698i \(-0.467209\pi\)
0.978500 0.206245i \(-0.0661245\pi\)
\(632\) −34.8302 25.3056i −1.38547 1.00660i
\(633\) −35.4547 15.7854i −1.40920 0.627415i
\(634\) −17.2344 19.1407i −0.684465 0.760176i
\(635\) 1.35480 + 12.8901i 0.0537637 + 0.511527i
\(636\) −16.6746 + 12.1148i −0.661190 + 0.480382i
\(637\) −3.38300 14.0237i −0.134039 0.555638i
\(638\) 7.75939 5.63753i 0.307197 0.223192i
\(639\) 1.32102 0.588156i 0.0522587 0.0232671i
\(640\) −46.1235 9.80385i −1.82319 0.387531i
\(641\) 2.24085 21.3202i 0.0885081 0.842099i −0.856741 0.515748i \(-0.827514\pi\)
0.945249 0.326351i \(-0.105819\pi\)
\(642\) 1.46274 4.50185i 0.0577297 0.177674i
\(643\) −7.59012 + 1.61333i −0.299325 + 0.0636235i −0.355126 0.934818i \(-0.615562\pi\)
0.0558010 + 0.998442i \(0.482229\pi\)
\(644\) −97.7701 + 108.585i −3.85268 + 4.27884i
\(645\) 36.5552 1.43936
\(646\) −5.26047 9.11140i −0.206970 0.358483i
\(647\) −20.2591 4.30620i −0.796467 0.169294i −0.208333 0.978058i \(-0.566804\pi\)
−0.588134 + 0.808764i \(0.700137\pi\)
\(648\) −9.88483 94.0478i −0.388313 3.69455i
\(649\) −29.4915 21.4268i −1.15764 0.841077i
\(650\) −26.6447 + 16.3680i −1.04509 + 0.642005i
\(651\) 34.2691 + 17.0973i 1.34311 + 0.670095i
\(652\) 41.6407 72.1238i 1.63078 2.82459i
\(653\) −17.2435 + 7.67728i −0.674789 + 0.300435i −0.715375 0.698741i \(-0.753744\pi\)
0.0405864 + 0.999176i \(0.487077\pi\)
\(654\) −8.62512 3.84015i −0.337269 0.150162i
\(655\) −13.4981 41.5430i −0.527416 1.62322i
\(656\) −42.7379 74.0243i −1.66864 2.89016i
\(657\) 0.0715886 + 0.123995i 0.00279294 + 0.00483751i
\(658\) 16.4881 + 50.7452i 0.642773 + 1.97825i
\(659\) 2.90119 0.616666i 0.113014 0.0240219i −0.151057 0.988525i \(-0.548268\pi\)
0.264072 + 0.964503i \(0.414934\pi\)
\(660\) 69.0899 + 76.7321i 2.68932 + 2.98679i
\(661\) −5.68495 + 2.53110i −0.221119 + 0.0984484i −0.514306 0.857606i \(-0.671951\pi\)
0.293188 + 0.956055i \(0.405284\pi\)
\(662\) −8.08720 24.8898i −0.314318 0.967371i
\(663\) −18.4177 38.5052i −0.715284 1.49542i
\(664\) −3.23470 + 2.35015i −0.125531 + 0.0912034i
\(665\) −4.39066 4.87632i −0.170262 0.189095i
\(666\) 2.49085 + 23.6989i 0.0965186 + 0.918313i
\(667\) 8.32161 + 3.70502i 0.322214 + 0.143459i
\(668\) −31.9302 + 98.2709i −1.23541 + 3.80222i
\(669\) 8.59198 + 3.82539i 0.332185 + 0.147898i
\(670\) −2.15262 + 20.4808i −0.0831628 + 0.791241i
\(671\) 11.1297 + 34.2538i 0.429658 + 1.32235i
\(672\) 11.4365 108.811i 0.441172 4.19747i
\(673\) −17.6984 19.6561i −0.682223 0.757686i 0.298218 0.954498i \(-0.403608\pi\)
−0.980441 + 0.196812i \(0.936941\pi\)
\(674\) 28.2710 + 31.3982i 1.08896 + 1.20941i
\(675\) −3.53108 10.8676i −0.135911 0.418292i
\(676\) 30.2871 59.7642i 1.16489 2.29862i
\(677\) −7.80121 −0.299825 −0.149912 0.988699i \(-0.547899\pi\)
−0.149912 + 0.988699i \(0.547899\pi\)
\(678\) 18.8700 + 4.01095i 0.724698 + 0.154039i
\(679\) −5.30741 50.4966i −0.203680 1.93788i
\(680\) 14.4510 137.492i 0.554171 5.27259i
\(681\) 57.8757 2.21780
\(682\) 46.6273 18.3527i 1.78545 0.702762i
\(683\) −15.8262 27.4117i −0.605572 1.04888i −0.991961 0.126545i \(-0.959611\pi\)
0.386389 0.922336i \(-0.373722\pi\)
\(684\) −3.73725 2.71527i −0.142898 0.103821i
\(685\) −6.12942 2.72899i −0.234193 0.104270i
\(686\) −26.0233 5.53143i −0.993575 0.211191i
\(687\) −30.3483 + 52.5649i −1.15786 + 2.00547i
\(688\) −75.2403 −2.86851
\(689\) 1.25958 6.83779i 0.0479863 0.260499i
\(690\) −42.0630 + 129.457i −1.60131 + 4.92833i
\(691\) −15.3630 17.0623i −0.584435 0.649081i 0.376317 0.926491i \(-0.377190\pi\)
−0.960751 + 0.277411i \(0.910524\pi\)
\(692\) −47.2437 + 21.0342i −1.79594 + 0.799602i
\(693\) −9.71367 + 10.7881i −0.368992 + 0.409807i
\(694\) 43.9071 + 31.9003i 1.66669 + 1.21092i
\(695\) −2.09561 0.933024i −0.0794909 0.0353916i
\(696\) −18.2359 + 3.87616i −0.691230 + 0.146926i
\(697\) 32.2114 23.4030i 1.22009 0.886450i
\(698\) −18.6931 8.32270i −0.707544 0.315019i
\(699\) −17.5501 19.4914i −0.663806 0.737232i
\(700\) −5.79403 55.1265i −0.218994 2.08359i
\(701\) −9.11515 6.62255i −0.344275 0.250130i 0.402189 0.915557i \(-0.368250\pi\)
−0.746463 + 0.665427i \(0.768250\pi\)
\(702\) 25.8657 + 22.0426i 0.976238 + 0.831943i
\(703\) −3.81837 2.77421i −0.144013 0.104631i
\(704\) −40.6054 45.0969i −1.53037 1.69965i
\(705\) 23.9616 + 26.6120i 0.902445 + 1.00227i
\(706\) −59.1294 + 65.6698i −2.22536 + 2.47152i
\(707\) 35.4003 1.33137
\(708\) 57.8963 + 100.279i 2.17588 + 3.76873i
\(709\) 17.4215 19.3486i 0.654280 0.726651i −0.321134 0.947034i \(-0.604064\pi\)
0.975413 + 0.220383i \(0.0707306\pi\)
\(710\) −6.90636 + 5.01777i −0.259191 + 0.188313i
\(711\) 0.693915 6.60216i 0.0260239 0.247600i
\(712\) 52.2623 90.5210i 1.95861 3.39242i
\(713\) 37.2372 + 29.6359i 1.39454 + 1.10987i
\(714\) 105.020 3.93029
\(715\) −34.7268 2.69489i −1.29871 0.100783i
\(716\) 65.5112 47.5967i 2.44827 1.77877i
\(717\) −20.5898 4.37650i −0.768941 0.163444i
\(718\) −30.7678 + 53.2913i −1.14824 + 1.98881i
\(719\) 15.6918 + 27.1791i 0.585207 + 1.01361i 0.994850 + 0.101362i \(0.0323201\pi\)
−0.409643 + 0.912246i \(0.634347\pi\)
\(720\) −14.1420 43.5246i −0.527042 1.62207i
\(721\) −42.5178 + 9.03743i −1.58344 + 0.336572i
\(722\) −48.4661 + 10.3018i −1.80372 + 0.383392i
\(723\) 10.3096 + 7.49038i 0.383419 + 0.278570i
\(724\) 36.3155 40.3325i 1.34966 1.49894i
\(725\) −3.15688 + 1.40553i −0.117244 + 0.0522002i
\(726\) 0.186797 + 1.77726i 0.00693270 + 0.0659602i
\(727\) −8.62989 + 26.5601i −0.320065 + 0.985058i 0.653554 + 0.756879i \(0.273277\pi\)
−0.973619 + 0.228179i \(0.926723\pi\)
\(728\) 61.4994 + 79.9665i 2.27932 + 2.96376i
\(729\) −5.94023 + 4.31583i −0.220009 + 0.159846i
\(730\) −0.565584 0.628145i −0.0209332 0.0232487i
\(731\) −3.66348 34.8557i −0.135499 1.28918i
\(732\) 11.9585 113.778i 0.442000 4.20535i
\(733\) 11.5251 + 35.4706i 0.425689 + 1.31014i 0.902333 + 0.431039i \(0.141853\pi\)
−0.476644 + 0.879096i \(0.658147\pi\)
\(734\) 2.44497 23.2623i 0.0902455 0.858628i
\(735\) 23.3014 4.95286i 0.859484 0.182689i
\(736\) 42.0141 129.306i 1.54866 4.76629i
\(737\) −6.03816 + 6.70606i −0.222418 + 0.247021i
\(738\) 12.1330 21.0150i 0.446623 0.773574i
\(739\) −2.01137 + 3.48379i −0.0739894 + 0.128153i −0.900646 0.434553i \(-0.856906\pi\)
0.826657 + 0.562706i \(0.190240\pi\)
\(740\) −31.3185 96.3885i −1.15129 3.54331i
\(741\) 5.10762 0.678108i 0.187633 0.0249109i
\(742\) 13.8400 + 10.0553i 0.508082 + 0.369143i
\(743\) 21.5858 37.3877i 0.791905 1.37162i −0.132881 0.991132i \(-0.542423\pi\)
0.924786 0.380488i \(-0.124244\pi\)
\(744\) −97.3086 4.27437i −3.56751 0.156706i
\(745\) 1.99218 + 3.45056i 0.0729878 + 0.126419i
\(746\) −49.8060 36.1862i −1.82353 1.32487i
\(747\) −0.563222 0.250763i −0.0206072 0.00917493i
\(748\) 66.2407 73.5678i 2.42200 2.68990i
\(749\) −2.83047 −0.103423
\(750\) 13.9931 + 24.2368i 0.510956 + 0.885002i
\(751\) −15.5994 3.31576i −0.569231 0.120994i −0.0857001 0.996321i \(-0.527313\pi\)
−0.483531 + 0.875327i \(0.660646\pi\)
\(752\) −49.3193 54.7746i −1.79849 1.99743i
\(753\) 14.2896 43.9789i 0.520743 1.60268i
\(754\) 5.81184 8.47610i 0.211655 0.308681i
\(755\) 3.91164 + 12.0388i 0.142359 + 0.438136i
\(756\) −55.0317 + 24.5017i −2.00149 + 0.891119i
\(757\) 1.66385 + 15.8305i 0.0604736 + 0.575368i 0.982241 + 0.187624i \(0.0600788\pi\)
−0.921767 + 0.387744i \(0.873255\pi\)
\(758\) 42.1920 8.96818i 1.53248 0.325739i
\(759\) −48.2545 + 35.0589i −1.75153 + 1.27256i
\(760\) 15.2458 + 6.78785i 0.553022 + 0.246221i
\(761\) 29.3251 6.23323i 1.06303 0.225955i 0.356979 0.934113i \(-0.383807\pi\)
0.706054 + 0.708158i \(0.250474\pi\)
\(762\) 20.2586 14.7187i 0.733892 0.533204i
\(763\) −0.590125 + 5.61466i −0.0213640 + 0.203264i
\(764\) −52.5170 11.1628i −1.90000 0.403857i
\(765\) 19.4746 8.67063i 0.704104 0.313487i
\(766\) −6.17859 + 19.0157i −0.223241 + 0.687067i
\(767\) −37.4648 11.0531i −1.35278 0.399103i
\(768\) 5.03718 + 15.5028i 0.181764 + 0.559411i
\(769\) −19.1193 + 33.1156i −0.689460 + 1.19418i 0.282552 + 0.959252i \(0.408819\pi\)
−0.972013 + 0.234928i \(0.924514\pi\)
\(770\) 42.8504 74.2191i 1.54422 2.67467i
\(771\) 37.3043 41.4306i 1.34348 1.49209i
\(772\) −68.1705 + 49.5288i −2.45351 + 1.78258i
\(773\) −3.86703 + 36.7923i −0.139087 + 1.32333i 0.672935 + 0.739701i \(0.265033\pi\)
−0.812023 + 0.583626i \(0.801633\pi\)
\(774\) −10.6801 18.4985i −0.383889 0.664916i
\(775\) −17.8073 + 2.97507i −0.639655 + 0.106868i
\(776\) 64.5681 + 111.835i 2.31786 + 4.01465i
\(777\) 43.0398 19.1626i 1.54404 0.687453i
\(778\) −1.87463 17.8359i −0.0672088 0.639449i
\(779\) 1.48522 + 4.57102i 0.0532134 + 0.163774i
\(780\) 97.2896 + 52.6864i 3.48353 + 1.88648i
\(781\) −3.74070 −0.133853
\(782\) 127.654 + 27.1336i 4.56488 + 0.970296i
\(783\) 2.51291 + 2.79086i 0.0898039 + 0.0997374i
\(784\) −47.9604 + 10.1943i −1.71287 + 0.364082i
\(785\) −14.6201 10.6221i −0.521815 0.379121i
\(786\) −56.4693 + 62.7155i −2.01419 + 2.23699i
\(787\) −4.46905 + 42.5202i −0.159305 + 1.51568i 0.564360 + 0.825529i \(0.309123\pi\)
−0.723664 + 0.690152i \(0.757543\pi\)
\(788\) −5.50139 + 3.99699i −0.195979 + 0.142387i
\(789\) 3.31756 0.705169i 0.118108 0.0251047i
\(790\) 4.09656 + 38.9761i 0.145749 + 1.38671i
\(791\) −1.20580 11.4725i −0.0428734 0.407914i
\(792\) 11.4092 35.1139i 0.405408 1.24772i
\(793\) 23.5274 + 30.5922i 0.835482 + 1.08636i
\(794\) −18.0803 13.1361i −0.641647 0.466184i
\(795\) 11.2305 + 2.38711i 0.398304 + 0.0846622i
\(796\) 67.7532 30.1657i 2.40145 1.06919i
\(797\) 45.2590 9.62010i 1.60316 0.340761i 0.682424 0.730957i \(-0.260926\pi\)
0.920732 + 0.390195i \(0.127593\pi\)
\(798\) −3.91752 + 12.0569i −0.138679 + 0.426809i
\(799\) 22.9734 25.5146i 0.812741 0.902640i
\(800\) 25.7890 + 44.6678i 0.911778 + 1.57925i
\(801\) 16.1173 0.569476
\(802\) −41.6673 + 46.2763i −1.47133 + 1.63407i
\(803\) −0.0387153 0.368351i −0.00136623 0.0129988i
\(804\) 26.1858 11.6587i 0.923501 0.411169i
\(805\) 81.3940 2.86876
\(806\) 40.4940 35.2598i 1.42634 1.24197i
\(807\) 27.7256 0.975989
\(808\) −82.2504 + 36.6202i −2.89356 + 1.28830i
\(809\) −3.64253 34.6563i −0.128064 1.21845i −0.850110 0.526606i \(-0.823464\pi\)
0.722045 0.691846i \(-0.243202\pi\)
\(810\) −57.6012 + 63.9726i −2.02390 + 2.24777i
\(811\) 11.4128 0.400757 0.200379 0.979719i \(-0.435783\pi\)
0.200379 + 0.979719i \(0.435783\pi\)
\(812\) 9.10869 + 15.7767i 0.319652 + 0.553654i
\(813\) −21.0651 + 23.3951i −0.738785 + 0.820503i
\(814\) 19.0489 58.6265i 0.667664 2.05486i
\(815\) −45.3785 + 9.64549i −1.58954 + 0.337867i
\(816\) −132.532 + 59.0072i −4.63956 + 2.06567i
\(817\) 4.13827 + 0.879616i 0.144780 + 0.0307739i
\(818\) −40.4735 29.4057i −1.41512 1.02815i
\(819\) −5.93706 + 14.3777i −0.207458 + 0.502399i
\(820\) −31.8924 + 98.1548i −1.11373 + 3.42771i
\(821\) 0.552122 + 5.25309i 0.0192692 + 0.183334i 0.999923 0.0124165i \(-0.00395240\pi\)
−0.980654 + 0.195750i \(0.937286\pi\)
\(822\) 1.35498 + 12.8918i 0.0472605 + 0.449654i
\(823\) 3.92892 0.835117i 0.136953 0.0291104i −0.138925 0.990303i \(-0.544365\pi\)
0.275878 + 0.961193i \(0.411031\pi\)
\(824\) 89.4385 64.9808i 3.11574 2.26372i
\(825\) 2.36519 22.5032i 0.0823452 0.783462i
\(826\) 64.3092 71.4226i 2.23760 2.48511i
\(827\) 42.4791 + 30.8629i 1.47714 + 1.07321i 0.978463 + 0.206420i \(0.0661813\pi\)
0.498679 + 0.866787i \(0.333819\pi\)
\(828\) 56.0497 11.9137i 1.94786 0.414031i
\(829\) −20.6568 22.9417i −0.717440 0.796798i 0.268610 0.963249i \(-0.413436\pi\)
−0.986050 + 0.166451i \(0.946769\pi\)
\(830\) 3.56014 + 0.756730i 0.123574 + 0.0262665i
\(831\) 8.28442 0.287383
\(832\) −57.1789 30.9648i −1.98232 1.07351i
\(833\) −7.05781 21.7217i −0.244538 0.752612i
\(834\) 0.463260 + 4.40762i 0.0160414 + 0.152623i
\(835\) 52.5831 23.4115i 1.81971 0.810188i
\(836\) 5.97502 + 10.3490i 0.206650 + 0.357929i
\(837\) 9.05518 + 17.4061i 0.312993 + 0.601642i
\(838\) −18.1601 31.4542i −0.627330 1.08657i
\(839\) 5.38491 51.2340i 0.185908 1.76879i −0.361926 0.932207i \(-0.617881\pi\)
0.547833 0.836587i \(-0.315453\pi\)
\(840\) −134.771 + 97.9167i −4.65003 + 3.37845i
\(841\) −18.6448 + 20.7072i −0.642926 + 0.714041i
\(842\) 48.8739 84.6521i 1.68431 2.91730i
\(843\) 2.50686 4.34201i 0.0863409 0.149547i
\(844\) −29.8050 91.7304i −1.02593 3.15749i
\(845\) −36.0300 + 9.73863i −1.23947 + 0.335019i
\(846\) 6.46613 19.9007i 0.222310 0.684200i
\(847\) 0.976203 0.434634i 0.0335427 0.0149342i
\(848\) −23.1154 4.91332i −0.793784 0.168724i
\(849\) 0.641216 6.10076i 0.0220065 0.209378i
\(850\) −40.0532 + 29.1004i −1.37381 + 0.998134i
\(851\) 57.2663 12.1723i 1.96306 0.417262i
\(852\) 10.8549 + 4.83290i 0.371882 + 0.165573i
\(853\) 11.5889 8.41981i 0.396795 0.288289i −0.371439 0.928457i \(-0.621136\pi\)
0.768234 + 0.640169i \(0.221136\pi\)
\(854\) −92.8815 + 19.7426i −3.17834 + 0.675577i
\(855\) 0.268984 + 2.55921i 0.00919907 + 0.0875233i
\(856\) 6.57642 2.92801i 0.224777 0.100077i
\(857\) 3.78748 + 11.6567i 0.129378 + 0.398184i 0.994673 0.103078i \(-0.0328692\pi\)
−0.865295 + 0.501262i \(0.832869\pi\)
\(858\) 29.0374 + 60.7073i 0.991319 + 2.07251i
\(859\) −1.10727 + 3.40783i −0.0377796 + 0.116274i −0.968168 0.250302i \(-0.919470\pi\)
0.930388 + 0.366576i \(0.119470\pi\)
\(860\) 60.7887 + 67.5127i 2.07288 + 2.30216i
\(861\) −46.9279 9.97483i −1.59930 0.339941i
\(862\) −16.6434 28.8272i −0.566876 0.981859i
\(863\) 0.183382 0.00624241 0.00312120 0.999995i \(-0.499006\pi\)
0.00312120 + 0.999995i \(0.499006\pi\)
\(864\) 37.5070 41.6557i 1.27601 1.41716i
\(865\) 26.3173 + 11.7172i 0.894815 + 0.398397i
\(866\) −3.11768 2.26513i −0.105943 0.0769722i
\(867\) −16.1611 27.9919i −0.548860 0.950654i
\(868\) 25.4107 + 91.7223i 0.862496 + 3.11326i
\(869\) −8.58650 + 14.8723i −0.291277 + 0.504507i
\(870\) 13.7299 + 9.97534i 0.465486 + 0.338196i
\(871\) −3.69056 + 8.93742i −0.125050 + 0.302833i
\(872\) −4.43703 13.6558i −0.150257 0.462443i
\(873\) −9.95616 + 17.2446i −0.336965 + 0.583640i
\(874\) −7.87687 + 13.6431i −0.266439 + 0.461486i
\(875\) 11.1977 12.4363i 0.378552 0.420424i
\(876\) −0.363557 + 1.11891i −0.0122834 + 0.0378045i
\(877\) 9.10118 1.93452i 0.307325 0.0653239i −0.0516677 0.998664i \(-0.516454\pi\)
0.358993 + 0.933340i \(0.383120\pi\)
\(878\) −4.15603 + 39.5419i −0.140259 + 1.33448i
\(879\) 1.75440 + 5.39949i 0.0591745 + 0.182120i
\(880\) −12.3748 + 117.738i −0.417154 + 3.96895i
\(881\) 0.425978 + 4.05291i 0.0143515 + 0.136546i 0.999351 0.0360089i \(-0.0114645\pi\)
−0.985000 + 0.172555i \(0.944798\pi\)
\(882\) −9.31420 10.3445i −0.313626 0.348316i
\(883\) 1.31547 0.955744i 0.0442690 0.0321633i −0.565431 0.824796i \(-0.691290\pi\)
0.609700 + 0.792632i \(0.291290\pi\)
\(884\) 40.4868 98.0466i 1.36172 3.29766i
\(885\) 19.9325 61.3458i 0.670022 2.06212i
\(886\) 1.00678 + 9.57892i 0.0338236 + 0.321810i
\(887\) 20.9044 9.30726i 0.701903 0.312507i −0.0245744 0.999698i \(-0.507823\pi\)
0.726477 + 0.687191i \(0.241156\pi\)
\(888\) −80.1773 + 89.0459i −2.69057 + 2.98819i
\(889\) −12.1139 8.80126i −0.406287 0.295185i
\(890\) −93.0698 + 19.7826i −3.11971 + 0.663114i
\(891\) −36.8966 + 7.84262i −1.23608 + 0.262738i
\(892\) 7.22285 + 22.2297i 0.241839 + 0.744304i
\(893\) 2.07224 + 3.58922i 0.0693448 + 0.120109i
\(894\) 3.84892 6.66653i 0.128727 0.222962i
\(895\) −44.1224 9.37851i −1.47485 0.313489i
\(896\) 44.0717 32.0200i 1.47233 1.06971i
\(897\) −36.1429 + 52.7116i −1.20678 + 1.75999i
\(898\) −37.3695 −1.24704
\(899\) 4.94877 3.27364i 0.165051 0.109182i
\(900\) −10.8690 + 18.8257i −0.362300 + 0.627523i
\(901\) 1.15064 10.9476i 0.0383334 0.364718i
\(902\) −50.7845 + 36.8971i −1.69094 + 1.22854i
\(903\) −28.2582 + 31.3839i −0.940373 + 1.04439i
\(904\) 14.6694 + 25.4082i 0.487897 + 0.845063i
\(905\) −30.2328 −1.00497
\(906\) 16.3643 18.1744i 0.543668 0.603804i
\(907\) −14.0943 15.6533i −0.467993 0.519759i 0.462227 0.886762i \(-0.347051\pi\)
−0.930220 + 0.367003i \(0.880384\pi\)
\(908\) 96.2433 + 106.889i 3.19395 + 3.54724i
\(909\) −11.2315 8.16018i −0.372526 0.270656i
\(910\) 16.6363 90.3121i 0.551488 2.99382i
\(911\) 5.02834 + 3.65330i 0.166596 + 0.121039i 0.667959 0.744198i \(-0.267168\pi\)
−0.501363 + 0.865237i \(0.667168\pi\)
\(912\) −1.83055 17.4165i −0.0606155 0.576718i
\(913\) 1.06717 + 1.18522i 0.0353183 + 0.0392249i
\(914\) −68.4226 30.4637i −2.26322 1.00765i
\(915\) −51.5583 + 37.4593i −1.70446 + 1.23837i
\(916\) −147.548 + 31.3622i −4.87512 + 1.03624i
\(917\) 46.1005 + 20.5253i 1.52237 + 0.677805i
\(918\) 43.5286 + 31.6254i 1.43666 + 1.04379i
\(919\) 39.5958 43.9756i 1.30615 1.45062i 0.491247 0.871020i \(-0.336541\pi\)
0.814900 0.579602i \(-0.196792\pi\)
\(920\) −189.114 + 84.1989i −6.23490 + 2.77595i
\(921\) −39.9206 44.3363i −1.31543 1.46093i
\(922\) −1.01978 + 3.13857i −0.0335847 + 0.103363i
\(923\) −3.77692 + 1.34212i −0.124319 + 0.0441766i
\(924\) −119.286 −3.92421
\(925\) −11.1049 + 19.2343i −0.365128 + 0.632420i
\(926\) 34.2087 + 7.27128i 1.12417 + 0.238949i
\(927\) 15.5729 + 6.93351i 0.511482 + 0.227726i
\(928\) −13.7139 9.96374i −0.450181 0.327076i
\(929\) 29.6779 + 51.4036i 0.973700 + 1.68650i 0.684160 + 0.729332i \(0.260169\pi\)
0.289539 + 0.957166i \(0.406498\pi\)
\(930\) 56.3802 + 68.4316i 1.84878 + 2.24396i
\(931\) 2.75704 0.0903582
\(932\) 6.81345 64.8256i 0.223182 2.12343i
\(933\) −2.92167 27.7978i −0.0956511 0.910060i
\(934\) 105.614 + 22.4489i 3.45579 + 0.734551i
\(935\) −55.1457 −1.80346
\(936\) −1.07882 39.5474i −0.0352624 1.29265i
\(937\) 9.96787 + 30.6779i 0.325636 + 1.00220i 0.971153 + 0.238458i \(0.0766421\pi\)
−0.645517 + 0.763746i \(0.723358\pi\)
\(938\) −15.9194 17.6803i −0.519788 0.577283i
\(939\) 43.8290 + 48.6770i 1.43030 + 1.58851i
\(940\) −9.30255 + 88.5079i −0.303416 + 2.88681i
\(941\) −6.46302 19.8911i −0.210688 0.648432i −0.999432 0.0337093i \(-0.989268\pi\)
0.788743 0.614723i \(-0.210732\pi\)
\(942\) −3.64954 + 34.7231i −0.118909 + 1.13134i
\(943\) −54.4642 24.2490i −1.77360 0.789657i
\(944\) −41.0263 + 126.266i −1.33529 + 4.10961i
\(945\) 30.6557 + 13.6488i 0.997229 + 0.443995i
\(946\) 5.77584 + 54.9535i 0.187789 + 1.78669i
\(947\) 18.4605 + 20.5025i 0.599887 + 0.666242i 0.964244 0.265017i \(-0.0853777\pi\)
−0.364357 + 0.931260i \(0.618711\pi\)
\(948\) 44.1312 32.0632i 1.43331 1.04136i
\(949\) −0.171251 0.358028i −0.00555903 0.0116221i
\(950\) −1.84679 5.68383i −0.0599177 0.184408i
\(951\) 18.2438 8.12267i 0.591597 0.263396i
\(952\) 106.871 + 118.692i 3.46371 + 3.84684i
\(953\) −13.0976 + 2.78399i −0.424274 + 0.0901823i −0.415100 0.909776i \(-0.636254\pi\)
−0.00917402 + 0.999958i \(0.502920\pi\)
\(954\) −2.07317 6.38056i −0.0671213 0.206578i
\(955\) 14.9542 + 25.9014i 0.483906 + 0.838150i
\(956\) −26.1566 45.3046i −0.845966 1.46526i
\(957\) 2.29802 + 7.07257i 0.0742843 + 0.228624i
\(958\) −59.5350 26.5067i −1.92349 0.856392i
\(959\) 7.08116 3.15273i 0.228662 0.101807i
\(960\) 53.6886 92.9914i 1.73279 3.00128i
\(961\) 29.3164 10.0771i 0.945691 0.325068i
\(962\) −1.80121 66.0287i −0.0580734 2.12885i
\(963\) 0.898029 + 0.652456i 0.0289386 + 0.0210251i
\(964\) 3.31042 + 31.4966i 0.106622 + 1.01444i
\(965\) 45.9135 + 9.75922i 1.47801 + 0.314161i
\(966\) −78.6272 136.186i −2.52979 4.38172i
\(967\) −11.1590 −0.358849 −0.179425 0.983772i \(-0.557424\pi\)
−0.179425 + 0.983772i \(0.557424\pi\)
\(968\) −1.81853 + 2.01969i −0.0584499 + 0.0649152i
\(969\) 7.97921 1.69603i 0.256329 0.0544844i
\(970\) 36.3259 111.800i 1.16636 3.58967i
\(971\) −4.21541 + 40.1070i −0.135279 + 1.28709i 0.690596 + 0.723241i \(0.257348\pi\)
−0.825875 + 0.563853i \(0.809318\pi\)
\(972\) 63.9045 + 13.5833i 2.04974 + 0.435685i
\(973\) 2.42100 1.07790i 0.0776136 0.0345558i
\(974\) −30.2893 + 22.0065i −0.970531 + 0.705132i
\(975\) −5.68584 23.5697i −0.182092 0.754836i
\(976\) 106.121 77.1013i 3.39684 2.46795i
\(977\) −4.44399 42.2818i −0.142176 1.35271i −0.800207 0.599723i \(-0.795277\pi\)
0.658031 0.752991i \(-0.271389\pi\)
\(978\) 59.9745 + 66.6085i 1.91777 + 2.12990i
\(979\) −38.0887 16.9582i −1.21732 0.541986i
\(980\) 47.8959 + 34.7984i 1.52998 + 1.11159i
\(981\) 1.48147 1.64534i 0.0472998 0.0525318i
\(982\) −4.58259 + 43.6004i −0.146236 + 1.39134i
\(983\) 2.37117 7.29770i 0.0756284 0.232760i −0.906095 0.423075i \(-0.860951\pi\)
0.981723 + 0.190314i \(0.0609507\pi\)
\(984\) 119.352 25.3691i 3.80482 0.808739i
\(985\) 3.70524 + 0.787574i 0.118059 + 0.0250942i
\(986\) 8.13560 14.0913i 0.259090 0.448757i
\(987\) −41.3703 −1.31683
\(988\) 9.74600 + 8.30547i 0.310061 + 0.264232i
\(989\) −42.4566 + 30.8466i −1.35004 + 0.980864i
\(990\) −30.7036 + 13.6701i −0.975824 + 0.434465i
\(991\) −13.2335 + 22.9212i −0.420377 + 0.728114i −0.995976 0.0896176i \(-0.971436\pi\)
0.575599 + 0.817732i \(0.304769\pi\)
\(992\) −56.3147 68.3520i −1.78799 2.17018i
\(993\) 20.2916 0.643935
\(994\) 1.03089 9.80823i 0.0326977 0.311098i
\(995\) −37.7422 16.8039i −1.19651 0.532720i
\(996\) −1.56548 4.81806i −0.0496042 0.152666i
\(997\) −0.916481 1.58739i −0.0290252 0.0502732i 0.851148 0.524926i \(-0.175907\pi\)
−0.880173 + 0.474653i \(0.842574\pi\)
\(998\) −18.0810 + 31.3172i −0.572344 + 0.991329i
\(999\) 23.6095 + 5.01836i 0.746972 + 0.158774i
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 403.2.bl.b.126.1 yes 280
13.3 even 3 inner 403.2.bl.b.250.35 yes 280
31.16 even 5 inner 403.2.bl.b.295.35 yes 280
403.16 even 15 inner 403.2.bl.b.16.1 280
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
403.2.bl.b.16.1 280 403.16 even 15 inner
403.2.bl.b.126.1 yes 280 1.1 even 1 trivial
403.2.bl.b.250.35 yes 280 13.3 even 3 inner
403.2.bl.b.295.35 yes 280 31.16 even 5 inner