Properties

Label 570.2.bb.a.41.5
Level $570$
Weight $2$
Character 570.41
Analytic conductor $4.551$
Analytic rank $0$
Dimension $84$
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] = [570,2,Mod(41,570)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(570, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([9, 0, 13]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("570.41");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.bb (of order \(18\), 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: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(84\)
Relative dimension: \(14\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 41.5
Character \(\chi\) \(=\) 570.41
Dual form 570.2.bb.a.431.5

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.766044 + 0.642788i) q^{2} +(-0.978339 - 1.42928i) q^{3} +(0.173648 + 0.984808i) q^{4} +(0.984808 + 0.173648i) q^{5} +(0.169275 - 1.72376i) q^{6} +(1.36690 + 2.36755i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(-1.08571 + 2.79665i) q^{9} +O(q^{10})\) \(q+(0.766044 + 0.642788i) q^{2} +(-0.978339 - 1.42928i) q^{3} +(0.173648 + 0.984808i) q^{4} +(0.984808 + 0.173648i) q^{5} +(0.169275 - 1.72376i) q^{6} +(1.36690 + 2.36755i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(-1.08571 + 2.79665i) q^{9} +(0.642788 + 0.766044i) q^{10} +(-0.676767 - 0.390732i) q^{11} +(1.23768 - 1.21167i) q^{12} +(-1.83374 + 5.03816i) q^{13} +(-0.474720 + 2.69227i) q^{14} +(-0.715283 - 1.57746i) q^{15} +(-0.939693 + 0.342020i) q^{16} +(2.15858 - 2.57249i) q^{17} +(-2.62935 + 1.44448i) q^{18} +(3.57411 + 2.49514i) q^{19} +1.00000i q^{20} +(2.04660 - 4.26995i) q^{21} +(-0.267276 - 0.734335i) q^{22} +(3.18651 - 0.561867i) q^{23} +(1.72697 - 0.132625i) q^{24} +(0.939693 + 0.342020i) q^{25} +(-4.64320 + 2.68075i) q^{26} +(5.05939 - 1.18429i) q^{27} +(-2.09422 + 1.75726i) q^{28} +(1.79957 - 1.51002i) q^{29} +(0.466031 - 1.66818i) q^{30} +(1.09008 - 0.629356i) q^{31} +(-0.939693 - 0.342020i) q^{32} +(0.103641 + 1.34956i) q^{33} +(3.30713 - 0.583137i) q^{34} +(0.935017 + 2.56894i) q^{35} +(-2.94269 - 0.583578i) q^{36} +8.00419i q^{37} +(1.13409 + 4.20878i) q^{38} +(8.99499 - 2.30810i) q^{39} +(-0.642788 + 0.766044i) q^{40} +(-7.68435 + 2.79688i) q^{41} +(4.31246 - 1.95545i) q^{42} +(0.817700 - 4.63741i) q^{43} +(0.267276 - 0.734335i) q^{44} +(-1.55484 + 2.56563i) q^{45} +(2.80217 + 1.61783i) q^{46} +(0.780232 + 0.929844i) q^{47} +(1.40818 + 1.00848i) q^{48} +(-0.236847 + 0.410231i) q^{49} +(0.500000 + 0.866025i) q^{50} +(-5.78865 - 0.568451i) q^{51} +(-5.28005 - 0.931015i) q^{52} +(0.895427 + 5.07822i) q^{53} +(4.63697 + 2.34490i) q^{54} +(-0.598636 - 0.502315i) q^{55} -2.73381 q^{56} +(0.0695611 - 7.54951i) q^{57} +2.34917 q^{58} +(-2.63329 - 2.20959i) q^{59} +(1.42928 - 0.978339i) q^{60} +(-1.18539 - 6.72266i) q^{61} +(1.23959 + 0.218573i) q^{62} +(-8.10525 + 1.25229i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(-2.68075 + 4.64320i) q^{65} +(-0.788087 + 1.10044i) q^{66} +(5.36968 + 6.39933i) q^{67} +(2.90825 + 1.67908i) q^{68} +(-3.92055 - 4.00473i) q^{69} +(-0.935017 + 2.56894i) q^{70} +(2.56916 - 14.5704i) q^{71} +(-1.87912 - 2.33857i) q^{72} +(-5.90744 + 2.15013i) q^{73} +(-5.14499 + 6.13156i) q^{74} +(-0.430494 - 1.67770i) q^{75} +(-1.83659 + 3.95309i) q^{76} -2.13637i q^{77} +(8.37418 + 4.01376i) q^{78} +(-0.164078 - 0.450801i) q^{79} +(-0.984808 + 0.173648i) q^{80} +(-6.64249 - 6.07267i) q^{81} +(-7.68435 - 2.79688i) q^{82} +(13.4104 - 7.74247i) q^{83} +(4.56047 + 1.27404i) q^{84} +(2.57249 - 2.15858i) q^{85} +(3.60726 - 3.02685i) q^{86} +(-3.91884 - 1.09479i) q^{87} +(0.676767 - 0.390732i) q^{88} +(-15.3353 - 5.58160i) q^{89} +(-2.84024 + 0.965953i) q^{90} +(-14.4346 + 2.54521i) q^{91} +(1.10666 + 3.04053i) q^{92} +(-1.96599 - 0.942306i) q^{93} +1.21383i q^{94} +(3.08654 + 3.07787i) q^{95} +(0.430494 + 1.67770i) q^{96} +(3.53989 - 4.21868i) q^{97} +(-0.445127 + 0.162013i) q^{98} +(1.82751 - 1.46846i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 84 q - 6 q^{3} - 42 q^{8} + 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 84 q - 6 q^{3} - 42 q^{8} + 6 q^{9} + 24 q^{13} + 24 q^{14} - 12 q^{17} - 12 q^{19} + 36 q^{22} - 6 q^{24} - 6 q^{27} - 12 q^{28} + 12 q^{29} - 6 q^{33} + 12 q^{34} - 18 q^{38} + 12 q^{39} - 6 q^{41} + 24 q^{43} - 36 q^{44} - 12 q^{47} - 54 q^{49} + 42 q^{50} - 54 q^{51} + 12 q^{52} + 60 q^{53} - 54 q^{54} - 60 q^{57} - 24 q^{58} + 18 q^{59} - 48 q^{61} + 12 q^{62} + 18 q^{63} - 42 q^{64} + 54 q^{66} + 6 q^{67} + 54 q^{68} - 60 q^{69} - 48 q^{71} - 12 q^{72} + 84 q^{73} - 24 q^{74} + 36 q^{78} - 12 q^{79} + 114 q^{81} - 6 q^{82} - 36 q^{83} - 18 q^{84} - 12 q^{86} + 6 q^{87} + 12 q^{89} + 24 q^{91} + 6 q^{93} + 12 q^{95} - 42 q^{97} - 36 q^{98} + 102 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{13}{18}\right)\) \(1\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.766044 + 0.642788i 0.541675 + 0.454519i
\(3\) −0.978339 1.42928i −0.564844 0.825197i
\(4\) 0.173648 + 0.984808i 0.0868241 + 0.492404i
\(5\) 0.984808 + 0.173648i 0.440419 + 0.0776578i
\(6\) 0.169275 1.72376i 0.0691061 0.703722i
\(7\) 1.36690 + 2.36755i 0.516641 + 0.894848i 0.999813 + 0.0193228i \(0.00615103\pi\)
−0.483173 + 0.875525i \(0.660516\pi\)
\(8\) −0.500000 + 0.866025i −0.176777 + 0.306186i
\(9\) −1.08571 + 2.79665i −0.361902 + 0.932216i
\(10\) 0.642788 + 0.766044i 0.203267 + 0.242245i
\(11\) −0.676767 0.390732i −0.204053 0.117810i 0.394492 0.918900i \(-0.370921\pi\)
−0.598545 + 0.801090i \(0.704254\pi\)
\(12\) 1.23768 1.21167i 0.357288 0.349779i
\(13\) −1.83374 + 5.03816i −0.508588 + 1.39734i 0.374105 + 0.927386i \(0.377950\pi\)
−0.882694 + 0.469949i \(0.844272\pi\)
\(14\) −0.474720 + 2.69227i −0.126874 + 0.719540i
\(15\) −0.715283 1.57746i −0.184685 0.407298i
\(16\) −0.939693 + 0.342020i −0.234923 + 0.0855050i
\(17\) 2.15858 2.57249i 0.523532 0.623922i −0.437880 0.899033i \(-0.644270\pi\)
0.961412 + 0.275112i \(0.0887149\pi\)
\(18\) −2.62935 + 1.44448i −0.619744 + 0.340467i
\(19\) 3.57411 + 2.49514i 0.819958 + 0.572423i
\(20\) 1.00000i 0.223607i
\(21\) 2.04660 4.26995i 0.446605 0.931780i
\(22\) −0.267276 0.734335i −0.0569835 0.156561i
\(23\) 3.18651 0.561867i 0.664433 0.117157i 0.168747 0.985659i \(-0.446028\pi\)
0.495686 + 0.868502i \(0.334917\pi\)
\(24\) 1.72697 0.132625i 0.352515 0.0270719i
\(25\) 0.939693 + 0.342020i 0.187939 + 0.0684040i
\(26\) −4.64320 + 2.68075i −0.910606 + 0.525739i
\(27\) 5.05939 1.18429i 0.973681 0.227917i
\(28\) −2.09422 + 1.75726i −0.395770 + 0.332090i
\(29\) 1.79957 1.51002i 0.334172 0.280404i −0.460225 0.887802i \(-0.652231\pi\)
0.794397 + 0.607399i \(0.207787\pi\)
\(30\) 0.466031 1.66818i 0.0850852 0.304566i
\(31\) 1.09008 0.629356i 0.195784 0.113036i −0.398904 0.916993i \(-0.630609\pi\)
0.594687 + 0.803957i \(0.297276\pi\)
\(32\) −0.939693 0.342020i −0.166116 0.0604612i
\(33\) 0.103641 + 1.34956i 0.0180416 + 0.234928i
\(34\) 3.30713 0.583137i 0.567169 0.100007i
\(35\) 0.935017 + 2.56894i 0.158047 + 0.434230i
\(36\) −2.94269 0.583578i −0.490449 0.0972630i
\(37\) 8.00419i 1.31588i 0.753070 + 0.657940i \(0.228572\pi\)
−0.753070 + 0.657940i \(0.771428\pi\)
\(38\) 1.13409 + 4.20878i 0.183973 + 0.682755i
\(39\) 8.99499 2.30810i 1.44035 0.369591i
\(40\) −0.642788 + 0.766044i −0.101634 + 0.121122i
\(41\) −7.68435 + 2.79688i −1.20009 + 0.436799i −0.863257 0.504764i \(-0.831579\pi\)
−0.336837 + 0.941563i \(0.609357\pi\)
\(42\) 4.31246 1.95545i 0.665427 0.301732i
\(43\) 0.817700 4.63741i 0.124698 0.707198i −0.856789 0.515668i \(-0.827544\pi\)
0.981487 0.191530i \(-0.0613450\pi\)
\(44\) 0.267276 0.734335i 0.0402934 0.110705i
\(45\) −1.55484 + 2.56563i −0.231782 + 0.382462i
\(46\) 2.80217 + 1.61783i 0.413157 + 0.238536i
\(47\) 0.780232 + 0.929844i 0.113809 + 0.135632i 0.819941 0.572448i \(-0.194006\pi\)
−0.706132 + 0.708080i \(0.749562\pi\)
\(48\) 1.40818 + 1.00848i 0.203254 + 0.145561i
\(49\) −0.236847 + 0.410231i −0.0338353 + 0.0586044i
\(50\) 0.500000 + 0.866025i 0.0707107 + 0.122474i
\(51\) −5.78865 0.568451i −0.810573 0.0795990i
\(52\) −5.28005 0.931015i −0.732211 0.129109i
\(53\) 0.895427 + 5.07822i 0.122996 + 0.697547i 0.982478 + 0.186380i \(0.0596755\pi\)
−0.859481 + 0.511167i \(0.829213\pi\)
\(54\) 4.63697 + 2.34490i 0.631011 + 0.319100i
\(55\) −0.598636 0.502315i −0.0807200 0.0677321i
\(56\) −2.73381 −0.365320
\(57\) 0.0695611 7.54951i 0.00921360 0.999958i
\(58\) 2.34917 0.308462
\(59\) −2.63329 2.20959i −0.342825 0.287665i 0.455076 0.890453i \(-0.349612\pi\)
−0.797901 + 0.602788i \(0.794056\pi\)
\(60\) 1.42928 0.978339i 0.184520 0.126303i
\(61\) −1.18539 6.72266i −0.151773 0.860749i −0.961677 0.274186i \(-0.911592\pi\)
0.809903 0.586563i \(-0.199519\pi\)
\(62\) 1.23959 + 0.218573i 0.157428 + 0.0277588i
\(63\) −8.10525 + 1.25229i −1.02116 + 0.157774i
\(64\) −0.500000 0.866025i −0.0625000 0.108253i
\(65\) −2.68075 + 4.64320i −0.332506 + 0.575918i
\(66\) −0.788087 + 1.10044i −0.0970068 + 0.135455i
\(67\) 5.36968 + 6.39933i 0.656011 + 0.781803i 0.986807 0.161899i \(-0.0517618\pi\)
−0.330797 + 0.943702i \(0.607317\pi\)
\(68\) 2.90825 + 1.67908i 0.352677 + 0.203618i
\(69\) −3.92055 4.00473i −0.471979 0.482113i
\(70\) −0.935017 + 2.56894i −0.111756 + 0.307047i
\(71\) 2.56916 14.5704i 0.304903 1.72919i −0.319056 0.947736i \(-0.603366\pi\)
0.623960 0.781457i \(-0.285523\pi\)
\(72\) −1.87912 2.33857i −0.221456 0.275603i
\(73\) −5.90744 + 2.15013i −0.691414 + 0.251654i −0.663741 0.747963i \(-0.731032\pi\)
−0.0276735 + 0.999617i \(0.508810\pi\)
\(74\) −5.14499 + 6.13156i −0.598093 + 0.712780i
\(75\) −0.430494 1.67770i −0.0497092 0.193724i
\(76\) −1.83659 + 3.95309i −0.210671 + 0.453451i
\(77\) 2.13637i 0.243462i
\(78\) 8.37418 + 4.01376i 0.948189 + 0.454469i
\(79\) −0.164078 0.450801i −0.0184602 0.0507190i 0.930120 0.367255i \(-0.119702\pi\)
−0.948580 + 0.316536i \(0.897480\pi\)
\(80\) −0.984808 + 0.173648i −0.110105 + 0.0194145i
\(81\) −6.64249 6.07267i −0.738054 0.674741i
\(82\) −7.68435 2.79688i −0.848595 0.308863i
\(83\) 13.4104 7.74247i 1.47198 0.849847i 0.472474 0.881345i \(-0.343361\pi\)
0.999504 + 0.0314977i \(0.0100277\pi\)
\(84\) 4.56047 + 1.27404i 0.497588 + 0.139009i
\(85\) 2.57249 2.15858i 0.279026 0.234131i
\(86\) 3.60726 3.02685i 0.388981 0.326394i
\(87\) −3.91884 1.09479i −0.420144 0.117374i
\(88\) 0.676767 0.390732i 0.0721436 0.0416521i
\(89\) −15.3353 5.58160i −1.62554 0.591649i −0.641115 0.767445i \(-0.721528\pi\)
−0.984427 + 0.175796i \(0.943750\pi\)
\(90\) −2.84024 + 0.965953i −0.299387 + 0.101820i
\(91\) −14.4346 + 2.54521i −1.51316 + 0.266811i
\(92\) 1.10666 + 3.04053i 0.115378 + 0.316997i
\(93\) −1.96599 0.942306i −0.203864 0.0977126i
\(94\) 1.21383i 0.125197i
\(95\) 3.08654 + 3.07787i 0.316672 + 0.315783i
\(96\) 0.430494 + 1.67770i 0.0439371 + 0.171229i
\(97\) 3.53989 4.21868i 0.359421 0.428342i −0.555786 0.831326i \(-0.687582\pi\)
0.915207 + 0.402984i \(0.132027\pi\)
\(98\) −0.445127 + 0.162013i −0.0449646 + 0.0163658i
\(99\) 1.82751 1.46846i 0.183672 0.147586i
\(100\) −0.173648 + 0.984808i −0.0173648 + 0.0984808i
\(101\) 3.47778 9.55513i 0.346052 0.950771i −0.637548 0.770410i \(-0.720051\pi\)
0.983601 0.180361i \(-0.0577265\pi\)
\(102\) −4.06897 4.15633i −0.402888 0.411538i
\(103\) −10.1752 5.87466i −1.00259 0.578847i −0.0935782 0.995612i \(-0.529831\pi\)
−0.909014 + 0.416765i \(0.863164\pi\)
\(104\) −3.44631 4.10715i −0.337938 0.402739i
\(105\) 2.75698 3.84970i 0.269053 0.375692i
\(106\) −2.57828 + 4.46571i −0.250425 + 0.433748i
\(107\) 0.672386 + 1.16461i 0.0650020 + 0.112587i 0.896695 0.442649i \(-0.145961\pi\)
−0.831693 + 0.555236i \(0.812628\pi\)
\(108\) 2.04485 + 4.77688i 0.196766 + 0.459655i
\(109\) −5.09821 0.898952i −0.488320 0.0861040i −0.0759334 0.997113i \(-0.524194\pi\)
−0.412387 + 0.911009i \(0.635305\pi\)
\(110\) −0.135700 0.769591i −0.0129385 0.0733776i
\(111\) 11.4403 7.83081i 1.08586 0.743268i
\(112\) −2.09422 1.75726i −0.197885 0.166045i
\(113\) −1.25063 −0.117649 −0.0588246 0.998268i \(-0.518735\pi\)
−0.0588246 + 0.998268i \(0.518735\pi\)
\(114\) 4.90602 5.73855i 0.459491 0.537464i
\(115\) 3.23566 0.301727
\(116\) 1.79957 + 1.51002i 0.167086 + 0.140202i
\(117\) −12.0991 10.5983i −1.11856 0.979812i
\(118\) −0.596919 3.38529i −0.0549508 0.311642i
\(119\) 9.04106 + 1.59418i 0.828793 + 0.146139i
\(120\) 1.72376 + 0.169275i 0.157357 + 0.0154526i
\(121\) −5.19466 8.99741i −0.472242 0.817946i
\(122\) 3.41319 5.91181i 0.309015 0.535230i
\(123\) 11.5154 + 8.24683i 1.03831 + 0.743592i
\(124\) 0.809085 + 0.964230i 0.0726580 + 0.0865904i
\(125\) 0.866025 + 0.500000i 0.0774597 + 0.0447214i
\(126\) −7.01394 4.25064i −0.624851 0.378677i
\(127\) −7.30812 + 20.0789i −0.648491 + 1.78171i −0.0252542 + 0.999681i \(0.508040\pi\)
−0.623237 + 0.782033i \(0.714183\pi\)
\(128\) 0.173648 0.984808i 0.0153485 0.0870455i
\(129\) −7.42816 + 3.36823i −0.654013 + 0.296556i
\(130\) −5.03816 + 1.83374i −0.441876 + 0.160830i
\(131\) 8.27650 9.86355i 0.723122 0.861783i −0.271809 0.962351i \(-0.587622\pi\)
0.994930 + 0.100569i \(0.0320662\pi\)
\(132\) −1.31106 + 0.336415i −0.114113 + 0.0292812i
\(133\) −1.02188 + 11.8725i −0.0886081 + 1.02948i
\(134\) 8.35374i 0.721653i
\(135\) 5.18818 0.287743i 0.446527 0.0247650i
\(136\) 1.14856 + 3.15563i 0.0984879 + 0.270593i
\(137\) −17.8980 + 3.15589i −1.52913 + 0.269626i −0.874012 0.485904i \(-0.838490\pi\)
−0.655114 + 0.755530i \(0.727379\pi\)
\(138\) −0.429129 5.58788i −0.0365299 0.475672i
\(139\) −4.26956 1.55399i −0.362140 0.131808i 0.154541 0.987986i \(-0.450610\pi\)
−0.516680 + 0.856178i \(0.672832\pi\)
\(140\) −2.36755 + 1.36690i −0.200094 + 0.115524i
\(141\) 0.565680 2.02488i 0.0476389 0.170525i
\(142\) 11.3338 9.51018i 0.951110 0.798076i
\(143\) 3.20959 2.69316i 0.268399 0.225214i
\(144\) 0.0637190 2.99932i 0.00530991 0.249944i
\(145\) 2.03444 1.17459i 0.168951 0.0975442i
\(146\) −5.90744 2.15013i −0.488904 0.177946i
\(147\) 0.818053 0.0628234i 0.0674719 0.00518159i
\(148\) −7.88259 + 1.38991i −0.647945 + 0.114250i
\(149\) 7.53994 + 20.7158i 0.617696 + 1.69710i 0.712557 + 0.701614i \(0.247537\pi\)
−0.0948614 + 0.995490i \(0.530241\pi\)
\(150\) 0.748627 1.56191i 0.0611251 0.127529i
\(151\) 0.916825i 0.0746101i −0.999304 0.0373051i \(-0.988123\pi\)
0.999304 0.0373051i \(-0.0118773\pi\)
\(152\) −3.94791 + 1.84771i −0.320218 + 0.149869i
\(153\) 4.85078 + 8.82976i 0.392163 + 0.713844i
\(154\) 1.37323 1.63655i 0.110658 0.131877i
\(155\) 1.18280 0.430505i 0.0950050 0.0345790i
\(156\) 3.83499 + 8.45754i 0.307045 + 0.677145i
\(157\) 0.581587 3.29835i 0.0464157 0.263237i −0.952765 0.303709i \(-0.901775\pi\)
0.999181 + 0.0404720i \(0.0128862\pi\)
\(158\) 0.164078 0.450801i 0.0130533 0.0358638i
\(159\) 6.38218 6.24804i 0.506140 0.495502i
\(160\) −0.866025 0.500000i −0.0684653 0.0395285i
\(161\) 5.68589 + 6.77618i 0.448111 + 0.534038i
\(162\) −1.18500 8.92165i −0.0931026 0.700951i
\(163\) 1.00331 1.73778i 0.0785852 0.136114i −0.824055 0.566510i \(-0.808293\pi\)
0.902640 + 0.430397i \(0.141626\pi\)
\(164\) −4.08876 7.08194i −0.319278 0.553007i
\(165\) −0.132282 + 1.34705i −0.0102981 + 0.104868i
\(166\) 15.2497 + 2.68893i 1.18361 + 0.208702i
\(167\) −2.33587 13.2474i −0.180755 1.02511i −0.931289 0.364282i \(-0.881315\pi\)
0.750534 0.660832i \(-0.229797\pi\)
\(168\) 2.67459 + 3.90738i 0.206349 + 0.301461i
\(169\) −12.0619 10.1211i −0.927839 0.778549i
\(170\) 3.35815 0.257559
\(171\) −10.8585 + 7.28656i −0.830367 + 0.557217i
\(172\) 4.70895 0.359054
\(173\) 17.8302 + 14.9613i 1.35560 + 1.13749i 0.977313 + 0.211801i \(0.0679330\pi\)
0.378292 + 0.925686i \(0.376511\pi\)
\(174\) −2.29829 3.35764i −0.174233 0.254542i
\(175\) 0.474720 + 2.69227i 0.0358855 + 0.203517i
\(176\) 0.769591 + 0.135700i 0.0580101 + 0.0102287i
\(177\) −0.581885 + 5.92545i −0.0437372 + 0.445384i
\(178\) −8.15976 14.1331i −0.611600 1.05932i
\(179\) 0.856163 1.48292i 0.0639926 0.110838i −0.832254 0.554394i \(-0.812950\pi\)
0.896247 + 0.443556i \(0.146283\pi\)
\(180\) −2.79665 1.08571i −0.208450 0.0809237i
\(181\) 4.80217 + 5.72301i 0.356943 + 0.425388i 0.914396 0.404820i \(-0.132666\pi\)
−0.557454 + 0.830208i \(0.688222\pi\)
\(182\) −12.6936 7.32865i −0.940912 0.543236i
\(183\) −8.44889 + 8.27130i −0.624560 + 0.611432i
\(184\) −1.10666 + 3.04053i −0.0815842 + 0.224151i
\(185\) −1.38991 + 7.88259i −0.102188 + 0.579539i
\(186\) −0.900336 1.98556i −0.0660158 0.145589i
\(187\) −2.46601 + 0.897554i −0.180333 + 0.0656357i
\(188\) −0.780232 + 0.929844i −0.0569043 + 0.0678159i
\(189\) 9.71956 + 10.3595i 0.706994 + 0.753545i
\(190\) 0.386012 + 4.34177i 0.0280042 + 0.314985i
\(191\) 4.87308i 0.352604i −0.984336 0.176302i \(-0.943587\pi\)
0.984336 0.176302i \(-0.0564135\pi\)
\(192\) −0.748627 + 1.56191i −0.0540275 + 0.112721i
\(193\) 1.34677 + 3.70022i 0.0969425 + 0.266347i 0.978679 0.205394i \(-0.0658477\pi\)
−0.881737 + 0.471742i \(0.843625\pi\)
\(194\) 5.42343 0.956297i 0.389379 0.0686581i
\(195\) 9.25913 0.711067i 0.663060 0.0509205i
\(196\) −0.445127 0.162013i −0.0317948 0.0115723i
\(197\) 22.0891 12.7532i 1.57378 0.908625i 0.578085 0.815976i \(-0.303800\pi\)
0.995699 0.0926482i \(-0.0295332\pi\)
\(198\) 2.34386 + 0.0497940i 0.166571 + 0.00353871i
\(199\) 15.2010 12.7551i 1.07757 0.904188i 0.0818523 0.996644i \(-0.473916\pi\)
0.995717 + 0.0924567i \(0.0294720\pi\)
\(200\) −0.766044 + 0.642788i −0.0541675 + 0.0454519i
\(201\) 3.89310 13.9355i 0.274598 0.982936i
\(202\) 8.80606 5.08418i 0.619592 0.357722i
\(203\) 6.03488 + 2.19652i 0.423566 + 0.154165i
\(204\) −0.445373 5.79942i −0.0311824 0.406040i
\(205\) −8.05328 + 1.42001i −0.562466 + 0.0991779i
\(206\) −4.01850 11.0407i −0.279982 0.769245i
\(207\) −1.88826 + 9.52157i −0.131243 + 0.661795i
\(208\) 5.36150i 0.371753i
\(209\) −1.44391 3.08515i −0.0998777 0.213404i
\(210\) 4.58650 1.17689i 0.316499 0.0812129i
\(211\) 13.0204 15.5172i 0.896364 1.06825i −0.100942 0.994892i \(-0.532186\pi\)
0.997306 0.0733527i \(-0.0233699\pi\)
\(212\) −4.84558 + 1.76365i −0.332796 + 0.121128i
\(213\) −23.3388 + 10.5828i −1.59915 + 0.725119i
\(214\) −0.233517 + 1.32434i −0.0159629 + 0.0905301i
\(215\) 1.61056 4.42496i 0.109839 0.301780i
\(216\) −1.50407 + 4.97371i −0.102339 + 0.338418i
\(217\) 2.98006 + 1.72054i 0.202300 + 0.116798i
\(218\) −3.32762 3.96571i −0.225375 0.268591i
\(219\) 8.85263 + 6.33985i 0.598206 + 0.428408i
\(220\) 0.390732 0.676767i 0.0263431 0.0456276i
\(221\) 9.00237 + 15.5926i 0.605565 + 1.04887i
\(222\) 13.7973 + 1.35491i 0.926014 + 0.0909354i
\(223\) 24.1851 + 4.26449i 1.61956 + 0.285571i 0.908601 0.417666i \(-0.137152\pi\)
0.710955 + 0.703237i \(0.248263\pi\)
\(224\) −0.474720 2.69227i −0.0317186 0.179885i
\(225\) −1.97674 + 2.25666i −0.131783 + 0.150444i
\(226\) −0.958036 0.803888i −0.0637276 0.0534738i
\(227\) −12.9486 −0.859427 −0.429714 0.902965i \(-0.641385\pi\)
−0.429714 + 0.902965i \(0.641385\pi\)
\(228\) 7.44690 1.24245i 0.493183 0.0822836i
\(229\) 17.5070 1.15690 0.578449 0.815719i \(-0.303658\pi\)
0.578449 + 0.815719i \(0.303658\pi\)
\(230\) 2.47866 + 2.07985i 0.163438 + 0.137141i
\(231\) −3.05348 + 2.09009i −0.200904 + 0.137518i
\(232\) 0.407930 + 2.31349i 0.0267819 + 0.151888i
\(233\) −29.1821 5.14558i −1.91178 0.337098i −0.914118 0.405448i \(-0.867116\pi\)
−0.997661 + 0.0683492i \(0.978227\pi\)
\(234\) −2.45598 15.8959i −0.160552 1.03915i
\(235\) 0.606913 + 1.05120i 0.0395906 + 0.0685730i
\(236\) 1.71876 2.97698i 0.111882 0.193785i
\(237\) −0.483798 + 0.675550i −0.0314261 + 0.0438817i
\(238\) 5.90114 + 7.03270i 0.382514 + 0.455862i
\(239\) −1.73420 1.00124i −0.112176 0.0647649i 0.442862 0.896590i \(-0.353963\pi\)
−0.555038 + 0.831825i \(0.687296\pi\)
\(240\) 1.21167 + 1.23768i 0.0782129 + 0.0798921i
\(241\) 2.13395 5.86298i 0.137460 0.377668i −0.851794 0.523877i \(-0.824485\pi\)
0.989254 + 0.146209i \(0.0467073\pi\)
\(242\) 1.80409 10.2315i 0.115971 0.657704i
\(243\) −2.18097 + 15.4351i −0.139909 + 0.990164i
\(244\) 6.41469 2.33476i 0.410659 0.149467i
\(245\) −0.304484 + 0.362870i −0.0194528 + 0.0231829i
\(246\) 3.52037 + 13.7194i 0.224451 + 0.874718i
\(247\) −19.1249 + 13.4315i −1.21689 + 0.854629i
\(248\) 1.25871i 0.0799283i
\(249\) −24.1861 11.5924i −1.53273 0.734641i
\(250\) 0.342020 + 0.939693i 0.0216313 + 0.0594314i
\(251\) 7.20190 1.26989i 0.454580 0.0801547i 0.0583300 0.998297i \(-0.481422\pi\)
0.396250 + 0.918143i \(0.370311\pi\)
\(252\) −2.64073 7.76465i −0.166350 0.489127i
\(253\) −2.37606 0.864816i −0.149382 0.0543705i
\(254\) −18.5048 + 10.6838i −1.16110 + 0.670359i
\(255\) −5.60199 1.56500i −0.350810 0.0980043i
\(256\) 0.766044 0.642788i 0.0478778 0.0401742i
\(257\) −16.4509 + 13.8039i −1.02618 + 0.861065i −0.990391 0.138294i \(-0.955838\pi\)
−0.0357863 + 0.999359i \(0.511394\pi\)
\(258\) −7.85536 2.19452i −0.489053 0.136625i
\(259\) −18.9503 + 10.9409i −1.17751 + 0.679837i
\(260\) −5.03816 1.83374i −0.312454 0.113724i
\(261\) 2.26919 + 6.67221i 0.140459 + 0.412999i
\(262\) 12.6803 2.23589i 0.783394 0.138134i
\(263\) 3.24002 + 8.90187i 0.199788 + 0.548913i 0.998613 0.0526506i \(-0.0167670\pi\)
−0.798825 + 0.601563i \(0.794545\pi\)
\(264\) −1.22057 0.585024i −0.0751212 0.0360058i
\(265\) 5.15656i 0.316765i
\(266\) −8.41429 + 8.43800i −0.515913 + 0.517367i
\(267\) 7.02546 + 27.3792i 0.429951 + 1.67558i
\(268\) −5.36968 + 6.39933i −0.328005 + 0.390902i
\(269\) −14.2677 + 5.19301i −0.869916 + 0.316624i −0.738133 0.674655i \(-0.764292\pi\)
−0.131783 + 0.991279i \(0.542070\pi\)
\(270\) 4.15933 + 3.11447i 0.253129 + 0.189541i
\(271\) −1.85456 + 10.5177i −0.112656 + 0.638907i 0.875227 + 0.483712i \(0.160712\pi\)
−0.987884 + 0.155195i \(0.950399\pi\)
\(272\) −1.14856 + 3.15563i −0.0696414 + 0.191338i
\(273\) 17.7598 + 18.1411i 1.07487 + 1.09795i
\(274\) −15.7392 9.08703i −0.950840 0.548968i
\(275\) −0.502315 0.598636i −0.0302907 0.0360991i
\(276\) 3.26309 4.55640i 0.196415 0.274263i
\(277\) −1.38012 + 2.39044i −0.0829236 + 0.143628i −0.904505 0.426464i \(-0.859759\pi\)
0.821581 + 0.570092i \(0.193092\pi\)
\(278\) −2.27179 3.93485i −0.136253 0.235997i
\(279\) 0.576586 + 3.73186i 0.0345193 + 0.223420i
\(280\) −2.69227 0.474720i −0.160894 0.0283700i
\(281\) −3.26591 18.5219i −0.194828 1.10492i −0.912664 0.408710i \(-0.865979\pi\)
0.717837 0.696212i \(-0.245133\pi\)
\(282\) 1.73490 1.18753i 0.103312 0.0707166i
\(283\) −4.18546 3.51201i −0.248800 0.208768i 0.509856 0.860260i \(-0.329699\pi\)
−0.758655 + 0.651492i \(0.774143\pi\)
\(284\) 14.7952 0.877934
\(285\) 1.37946 7.42274i 0.0817124 0.439685i
\(286\) 4.18982 0.247749
\(287\) −17.1255 14.3700i −1.01089 0.848234i
\(288\) 1.97674 2.25666i 0.116480 0.132975i
\(289\) 0.993755 + 5.63587i 0.0584562 + 0.331522i
\(290\) 2.31349 + 0.407930i 0.135853 + 0.0239545i
\(291\) −9.49290 0.932212i −0.556484 0.0546472i
\(292\) −3.14329 5.44433i −0.183947 0.318605i
\(293\) 9.61474 16.6532i 0.561699 0.972892i −0.435649 0.900117i \(-0.643481\pi\)
0.997348 0.0727750i \(-0.0231855\pi\)
\(294\) 0.667047 + 0.477709i 0.0389030 + 0.0278605i
\(295\) −2.20959 2.63329i −0.128648 0.153316i
\(296\) −6.93183 4.00209i −0.402904 0.232617i
\(297\) −3.88677 1.17538i −0.225533 0.0682023i
\(298\) −7.53994 + 20.7158i −0.436777 + 1.20003i
\(299\) −3.01245 + 17.0845i −0.174215 + 0.988020i
\(300\) 1.57746 0.715283i 0.0910745 0.0412969i
\(301\) 12.0970 4.40295i 0.697259 0.253782i
\(302\) 0.589324 0.702329i 0.0339118 0.0404145i
\(303\) −17.0594 + 4.37742i −0.980040 + 0.251476i
\(304\) −4.21196 1.12224i −0.241572 0.0643650i
\(305\) 6.82637i 0.390877i
\(306\) −1.95974 + 9.88201i −0.112031 + 0.564917i
\(307\) −6.13513 16.8561i −0.350150 0.962030i −0.982322 0.187201i \(-0.940058\pi\)
0.632171 0.774829i \(-0.282164\pi\)
\(308\) 2.10391 0.370977i 0.119882 0.0211384i
\(309\) 1.55825 + 20.2907i 0.0886456 + 1.15430i
\(310\) 1.18280 + 0.430505i 0.0671787 + 0.0244510i
\(311\) 2.62998 1.51842i 0.149133 0.0861018i −0.423577 0.905860i \(-0.639226\pi\)
0.572710 + 0.819758i \(0.305892\pi\)
\(312\) −2.49862 + 8.94394i −0.141457 + 0.506351i
\(313\) 22.5115 18.8894i 1.27243 1.06769i 0.278184 0.960528i \(-0.410268\pi\)
0.994241 0.107164i \(-0.0341769\pi\)
\(314\) 2.56566 2.15284i 0.144788 0.121492i
\(315\) −8.19957 0.174195i −0.461993 0.00981479i
\(316\) 0.415460 0.239866i 0.0233715 0.0134935i
\(317\) 2.81681 + 1.02523i 0.158208 + 0.0575829i 0.419910 0.907566i \(-0.362062\pi\)
−0.261702 + 0.965149i \(0.584284\pi\)
\(318\) 8.90520 0.683886i 0.499379 0.0383504i
\(319\) −1.80790 + 0.318782i −0.101223 + 0.0178484i
\(320\) −0.342020 0.939693i −0.0191195 0.0525304i
\(321\) 1.00673 2.10041i 0.0561903 0.117233i
\(322\) 8.84568i 0.492950i
\(323\) 14.1337 3.80844i 0.786422 0.211907i
\(324\) 4.82696 7.59608i 0.268164 0.422005i
\(325\) −3.44631 + 4.10715i −0.191167 + 0.227824i
\(326\) 1.88560 0.686304i 0.104434 0.0380108i
\(327\) 3.70292 + 8.16627i 0.204772 + 0.451596i
\(328\) 1.42001 8.05328i 0.0784070 0.444668i
\(329\) −1.13495 + 3.11824i −0.0625717 + 0.171914i
\(330\) −0.967204 + 0.946875i −0.0532428 + 0.0521237i
\(331\) 6.58443 + 3.80152i 0.361913 + 0.208950i 0.669919 0.742434i \(-0.266329\pi\)
−0.308007 + 0.951384i \(0.599662\pi\)
\(332\) 9.95353 + 11.8622i 0.546271 + 0.651020i
\(333\) −22.3849 8.69019i −1.22669 0.476219i
\(334\) 6.72588 11.6496i 0.368024 0.637436i
\(335\) 4.17687 + 7.23455i 0.228207 + 0.395266i
\(336\) −0.462764 + 4.71242i −0.0252459 + 0.257084i
\(337\) 5.98487 + 1.05529i 0.326016 + 0.0574855i 0.334261 0.942481i \(-0.391513\pi\)
−0.00824465 + 0.999966i \(0.502624\pi\)
\(338\) −2.73421 15.5065i −0.148722 0.843442i
\(339\) 1.22354 + 1.78750i 0.0664534 + 0.0970838i
\(340\) 2.57249 + 2.15858i 0.139513 + 0.117065i
\(341\) −0.983638 −0.0532670
\(342\) −13.0018 1.39785i −0.703055 0.0755870i
\(343\) 17.8417 0.963359
\(344\) 3.60726 + 3.02685i 0.194491 + 0.163197i
\(345\) −3.16558 4.62468i −0.170429 0.248985i
\(346\) 4.04178 + 22.9221i 0.217287 + 1.23230i
\(347\) 33.8617 + 5.97073i 1.81779 + 0.320526i 0.975750 0.218888i \(-0.0702429\pi\)
0.842041 + 0.539413i \(0.181354\pi\)
\(348\) 0.397656 4.04941i 0.0213166 0.217071i
\(349\) −6.95446 12.0455i −0.372264 0.644780i 0.617650 0.786453i \(-0.288085\pi\)
−0.989913 + 0.141674i \(0.954752\pi\)
\(350\) −1.36690 + 2.36755i −0.0730640 + 0.126551i
\(351\) −3.31097 + 27.6617i −0.176727 + 1.47647i
\(352\) 0.502315 + 0.598636i 0.0267735 + 0.0319074i
\(353\) 15.5839 + 8.99739i 0.829450 + 0.478883i 0.853664 0.520824i \(-0.174375\pi\)
−0.0242146 + 0.999707i \(0.507709\pi\)
\(354\) −4.25456 + 4.16513i −0.226127 + 0.221374i
\(355\) 5.06026 13.9029i 0.268571 0.737892i
\(356\) 2.83385 16.0716i 0.150194 0.851792i
\(357\) −6.56669 14.4819i −0.347546 0.766463i
\(358\) 1.60906 0.585650i 0.0850415 0.0309526i
\(359\) −22.2073 + 26.4656i −1.17206 + 1.39680i −0.271291 + 0.962497i \(0.587450\pi\)
−0.900766 + 0.434305i \(0.856994\pi\)
\(360\) −1.44448 2.62935i −0.0761307 0.138579i
\(361\) 6.54859 + 17.8358i 0.344663 + 0.938727i
\(362\) 7.47085i 0.392659i
\(363\) −7.77772 + 16.2272i −0.408224 + 0.851705i
\(364\) −5.01309 13.7734i −0.262757 0.721920i
\(365\) −6.19106 + 1.09165i −0.324055 + 0.0571397i
\(366\) −11.7889 + 0.905345i −0.616216 + 0.0473231i
\(367\) −12.7836 4.65286i −0.667300 0.242877i −0.0139152 0.999903i \(-0.504429\pi\)
−0.653385 + 0.757026i \(0.726652\pi\)
\(368\) −2.80217 + 1.61783i −0.146073 + 0.0843353i
\(369\) 0.521063 24.5270i 0.0271255 1.27683i
\(370\) −6.13156 + 5.14499i −0.318765 + 0.267475i
\(371\) −10.7989 + 9.06139i −0.560654 + 0.470444i
\(372\) 0.586599 2.09976i 0.0304137 0.108867i
\(373\) 8.82576 5.09556i 0.456981 0.263838i −0.253793 0.967258i \(-0.581678\pi\)
0.710774 + 0.703421i \(0.248345\pi\)
\(374\) −2.46601 0.897554i −0.127514 0.0464114i
\(375\) −0.132625 1.72697i −0.00684870 0.0891801i
\(376\) −1.19539 + 0.210779i −0.0616473 + 0.0108701i
\(377\) 4.30778 + 11.8355i 0.221862 + 0.609561i
\(378\) 0.786634 + 14.1835i 0.0404601 + 0.729519i
\(379\) 19.8032i 1.01722i 0.860997 + 0.508610i \(0.169841\pi\)
−0.860997 + 0.508610i \(0.830159\pi\)
\(380\) −2.49514 + 3.57411i −0.127998 + 0.183348i
\(381\) 35.8483 9.19859i 1.83656 0.471258i
\(382\) 3.13235 3.73300i 0.160265 0.190997i
\(383\) 4.16337 1.51534i 0.212739 0.0774305i −0.233453 0.972368i \(-0.575002\pi\)
0.446191 + 0.894938i \(0.352780\pi\)
\(384\) −1.57746 + 0.715283i −0.0804993 + 0.0365017i
\(385\) 0.370977 2.10391i 0.0189067 0.107225i
\(386\) −1.34677 + 3.70022i −0.0685487 + 0.188336i
\(387\) 12.0814 + 7.32168i 0.614133 + 0.372182i
\(388\) 4.76928 + 2.75355i 0.242124 + 0.139790i
\(389\) −21.6298 25.7774i −1.09668 1.30697i −0.948067 0.318071i \(-0.896965\pi\)
−0.148609 0.988896i \(-0.547480\pi\)
\(390\) 7.54997 + 5.40695i 0.382308 + 0.273791i
\(391\) 5.43293 9.41011i 0.274755 0.475890i
\(392\) −0.236847 0.410231i −0.0119626 0.0207198i
\(393\) −22.1950 2.17957i −1.11959 0.109945i
\(394\) 25.1188 + 4.42912i 1.26547 + 0.223136i
\(395\) −0.0833046 0.472444i −0.00419151 0.0237712i
\(396\) 1.76349 + 1.54475i 0.0886190 + 0.0776266i
\(397\) 27.1366 + 22.7703i 1.36195 + 1.14281i 0.975376 + 0.220551i \(0.0707854\pi\)
0.386572 + 0.922259i \(0.373659\pi\)
\(398\) 19.8435 0.994663
\(399\) 17.9689 10.1548i 0.899570 0.508374i
\(400\) −1.00000 −0.0500000
\(401\) 15.6099 + 13.0983i 0.779523 + 0.654097i 0.943128 0.332428i \(-0.107868\pi\)
−0.163606 + 0.986526i \(0.552312\pi\)
\(402\) 11.9399 8.17279i 0.595506 0.407622i
\(403\) 1.17188 + 6.64606i 0.0583755 + 0.331064i
\(404\) 10.0139 + 1.76572i 0.498209 + 0.0878477i
\(405\) −5.48707 7.13387i −0.272654 0.354485i
\(406\) 3.21109 + 5.56178i 0.159364 + 0.276026i
\(407\) 3.12749 5.41697i 0.155024 0.268509i
\(408\) 3.38662 4.72889i 0.167662 0.234115i
\(409\) −19.7124 23.4924i −0.974717 1.16162i −0.986841 0.161696i \(-0.948304\pi\)
0.0121238 0.999927i \(-0.496141\pi\)
\(410\) −7.08194 4.08876i −0.349752 0.201929i
\(411\) 22.0209 + 22.4937i 1.08621 + 1.10953i
\(412\) 4.01850 11.0407i 0.197977 0.543938i
\(413\) 1.63186 9.25474i 0.0802986 0.455396i
\(414\) −7.56684 + 6.08019i −0.371890 + 0.298825i
\(415\) 14.5511 5.29616i 0.714285 0.259978i
\(416\) 3.44631 4.10715i 0.168969 0.201370i
\(417\) 1.95598 + 7.62275i 0.0957848 + 0.373288i
\(418\) 0.876991 3.29149i 0.0428950 0.160992i
\(419\) 16.0705i 0.785096i 0.919732 + 0.392548i \(0.128406\pi\)
−0.919732 + 0.392548i \(0.871594\pi\)
\(420\) 4.26995 + 2.04660i 0.208352 + 0.0998638i
\(421\) −11.7063 32.1628i −0.570530 1.56752i −0.803670 0.595076i \(-0.797122\pi\)
0.233140 0.972443i \(-0.425100\pi\)
\(422\) 19.9485 3.51745i 0.971076 0.171227i
\(423\) −3.44755 + 1.17250i −0.167626 + 0.0570088i
\(424\) −4.84558 1.76365i −0.235322 0.0856503i
\(425\) 2.90825 1.67908i 0.141071 0.0814472i
\(426\) −24.6810 6.89502i −1.19580 0.334065i
\(427\) 14.2959 11.9957i 0.691827 0.580512i
\(428\) −1.03015 + 0.864402i −0.0497944 + 0.0417825i
\(429\) −6.98936 1.95258i −0.337449 0.0942716i
\(430\) 4.07807 2.35447i 0.196662 0.113543i
\(431\) −22.7948 8.29665i −1.09799 0.399635i −0.271415 0.962463i \(-0.587491\pi\)
−0.826575 + 0.562827i \(0.809714\pi\)
\(432\) −4.34922 + 2.84328i −0.209252 + 0.136798i
\(433\) 14.7958 2.60889i 0.711038 0.125375i 0.193581 0.981084i \(-0.437990\pi\)
0.517457 + 0.855709i \(0.326879\pi\)
\(434\) 1.17692 + 3.23355i 0.0564938 + 0.155216i
\(435\) −3.66920 1.75865i −0.175924 0.0843210i
\(436\) 5.17686i 0.247927i
\(437\) 12.7909 + 5.94259i 0.611871 + 0.284273i
\(438\) 2.70633 + 10.5470i 0.129314 + 0.503954i
\(439\) 21.2655 25.3432i 1.01494 1.20956i 0.0372990 0.999304i \(-0.488125\pi\)
0.977646 0.210260i \(-0.0674310\pi\)
\(440\) 0.734335 0.267276i 0.0350081 0.0127419i
\(441\) −0.890126 1.10777i −0.0423869 0.0527508i
\(442\) −3.12649 + 17.7312i −0.148712 + 0.843388i
\(443\) 0.557369 1.53136i 0.0264814 0.0727571i −0.925747 0.378142i \(-0.876563\pi\)
0.952229 + 0.305385i \(0.0987852\pi\)
\(444\) 9.69842 + 9.90665i 0.460267 + 0.470149i
\(445\) −14.1331 8.15976i −0.669974 0.386810i
\(446\) 15.7857 + 18.8127i 0.747475 + 0.890807i
\(447\) 22.2322 31.0438i 1.05154 1.46832i
\(448\) 1.36690 2.36755i 0.0645801 0.111856i
\(449\) 15.5784 + 26.9826i 0.735190 + 1.27339i 0.954640 + 0.297762i \(0.0962403\pi\)
−0.219450 + 0.975624i \(0.570426\pi\)
\(450\) −2.96482 + 0.458076i −0.139763 + 0.0215939i
\(451\) 6.29335 + 1.10969i 0.296342 + 0.0522531i
\(452\) −0.217169 1.23163i −0.0102148 0.0579309i
\(453\) −1.31040 + 0.896966i −0.0615681 + 0.0421431i
\(454\) −9.91918 8.32318i −0.465530 0.390626i
\(455\) −14.6573 −0.687145
\(456\) 6.50329 + 3.83500i 0.304544 + 0.179590i
\(457\) −3.97596 −0.185987 −0.0929937 0.995667i \(-0.529644\pi\)
−0.0929937 + 0.995667i \(0.529644\pi\)
\(458\) 13.4112 + 11.2533i 0.626662 + 0.525832i
\(459\) 7.87452 15.5716i 0.367551 0.726822i
\(460\) 0.561867 + 3.18651i 0.0261972 + 0.148572i
\(461\) −18.4805 3.25861i −0.860722 0.151769i −0.274171 0.961681i \(-0.588404\pi\)
−0.586551 + 0.809912i \(0.699515\pi\)
\(462\) −3.68259 0.361633i −0.171329 0.0168247i
\(463\) −11.8899 20.5938i −0.552568 0.957076i −0.998088 0.0618044i \(-0.980315\pi\)
0.445520 0.895272i \(-0.353019\pi\)
\(464\) −1.17459 + 2.03444i −0.0545288 + 0.0944467i
\(465\) −1.77250 1.26938i −0.0821975 0.0588661i
\(466\) −19.0472 22.6996i −0.882346 1.05154i
\(467\) −12.8575 7.42326i −0.594972 0.343507i 0.172089 0.985081i \(-0.444948\pi\)
−0.767061 + 0.641574i \(0.778282\pi\)
\(468\) 8.33630 13.7556i 0.385346 0.635854i
\(469\) −7.81088 + 21.4602i −0.360673 + 0.990941i
\(470\) −0.210779 + 1.19539i −0.00972249 + 0.0551390i
\(471\) −5.28326 + 2.39565i −0.243440 + 0.110386i
\(472\) 3.23021 1.17570i 0.148682 0.0541160i
\(473\) −2.36538 + 2.81894i −0.108760 + 0.129615i
\(474\) −0.804846 + 0.206522i −0.0369678 + 0.00948586i
\(475\) 2.50518 + 3.56708i 0.114946 + 0.163669i
\(476\) 9.18054i 0.420789i
\(477\) −15.1742 3.00925i −0.694777 0.137784i
\(478\) −0.684889 1.88172i −0.0313261 0.0860677i
\(479\) −1.31392 + 0.231680i −0.0600347 + 0.0105857i −0.203585 0.979057i \(-0.565259\pi\)
0.143550 + 0.989643i \(0.454148\pi\)
\(480\) 0.132625 + 1.72697i 0.00605345 + 0.0788248i
\(481\) −40.3264 14.6776i −1.83873 0.669242i
\(482\) 5.40335 3.11963i 0.246116 0.142095i
\(483\) 4.12236 14.7562i 0.187574 0.671429i
\(484\) 7.95868 6.67812i 0.361758 0.303551i
\(485\) 4.21868 3.53989i 0.191560 0.160738i
\(486\) −11.5922 + 10.4221i −0.525834 + 0.472756i
\(487\) −8.66841 + 5.00471i −0.392803 + 0.226785i −0.683374 0.730068i \(-0.739488\pi\)
0.290571 + 0.956853i \(0.406155\pi\)
\(488\) 6.41469 + 2.33476i 0.290379 + 0.105689i
\(489\) −3.46536 + 0.266127i −0.156709 + 0.0120347i
\(490\) −0.466497 + 0.0822561i −0.0210742 + 0.00371595i
\(491\) 3.24848 + 8.92512i 0.146602 + 0.402785i 0.991159 0.132680i \(-0.0423584\pi\)
−0.844557 + 0.535466i \(0.820136\pi\)
\(492\) −6.12191 + 12.7725i −0.275997 + 0.575830i
\(493\) 7.88889i 0.355298i
\(494\) −23.2842 2.00409i −1.04760 0.0901685i
\(495\) 2.05474 1.12881i 0.0923537 0.0507361i
\(496\) −0.809085 + 0.964230i −0.0363290 + 0.0432952i
\(497\) 38.0080 13.8338i 1.70489 0.620529i
\(498\) −11.0761 24.4268i −0.496333 1.09459i
\(499\) −6.73065 + 38.1714i −0.301305 + 1.70879i 0.339102 + 0.940750i \(0.389877\pi\)
−0.640407 + 0.768036i \(0.721234\pi\)
\(500\) −0.342020 + 0.939693i −0.0152956 + 0.0420243i
\(501\) −16.6490 + 16.2991i −0.743823 + 0.728189i
\(502\) 6.33325 + 3.65650i 0.282667 + 0.163198i
\(503\) −15.6292 18.6262i −0.696871 0.830499i 0.295297 0.955405i \(-0.404581\pi\)
−0.992169 + 0.124906i \(0.960137\pi\)
\(504\) 2.96811 7.64549i 0.132210 0.340557i
\(505\) 5.08418 8.80606i 0.226243 0.391864i
\(506\) −1.26428 2.18979i −0.0562040 0.0973481i
\(507\) −2.66535 + 27.1418i −0.118372 + 1.20541i
\(508\) −21.0429 3.71043i −0.933628 0.164624i
\(509\) 2.29720 + 13.0281i 0.101822 + 0.577460i 0.992442 + 0.122713i \(0.0391594\pi\)
−0.890620 + 0.454747i \(0.849730\pi\)
\(510\) −3.28541 4.79975i −0.145481 0.212537i
\(511\) −13.1654 11.0471i −0.582405 0.488696i
\(512\) 1.00000 0.0441942
\(513\) 21.0378 + 8.39108i 0.928842 + 0.370475i
\(514\) −21.4751 −0.947226
\(515\) −9.00050 7.55231i −0.396609 0.332795i
\(516\) −4.60695 6.73042i −0.202810 0.296290i
\(517\) −0.164716 0.934150i −0.00724419 0.0410839i
\(518\) −21.5495 3.79975i −0.946829 0.166951i
\(519\) 3.93998 40.1217i 0.172946 1.76115i
\(520\) −2.68075 4.64320i −0.117559 0.203618i
\(521\) −6.43508 + 11.1459i −0.281926 + 0.488310i −0.971859 0.235563i \(-0.924307\pi\)
0.689933 + 0.723873i \(0.257640\pi\)
\(522\) −2.55051 + 6.56982i −0.111633 + 0.287553i
\(523\) −14.6215 17.4252i −0.639352 0.761950i 0.344916 0.938634i \(-0.387908\pi\)
−0.984268 + 0.176684i \(0.943463\pi\)
\(524\) 11.1509 + 6.43798i 0.487130 + 0.281244i
\(525\) 3.38359 3.31247i 0.147672 0.144568i
\(526\) −3.24002 + 8.90187i −0.141271 + 0.388140i
\(527\) 0.734002 4.16273i 0.0319736 0.181331i
\(528\) −0.558968 1.23272i −0.0243260 0.0536475i
\(529\) −11.7748 + 4.28567i −0.511947 + 0.186334i
\(530\) −3.31457 + 3.95015i −0.143976 + 0.171584i
\(531\) 9.03844 4.96542i 0.392235 0.215481i
\(532\) −11.8696 + 1.05528i −0.514611 + 0.0457523i
\(533\) 43.8438i 1.89909i
\(534\) −12.2172 + 25.4896i −0.528691 + 1.10304i
\(535\) 0.459939 + 1.26367i 0.0198849 + 0.0546333i
\(536\) −8.22683 + 1.45061i −0.355345 + 0.0626569i
\(537\) −2.95713 + 0.227096i −0.127610 + 0.00979994i
\(538\) −14.2677 5.19301i −0.615124 0.223887i
\(539\) 0.320580 0.185087i 0.0138084 0.00797227i
\(540\) 1.18429 + 5.05939i 0.0509637 + 0.217722i
\(541\) −6.58706 + 5.52720i −0.283200 + 0.237633i −0.773311 0.634027i \(-0.781401\pi\)
0.490111 + 0.871660i \(0.336956\pi\)
\(542\) −8.18134 + 6.86496i −0.351419 + 0.294875i
\(543\) 3.48165 12.4627i 0.149412 0.534826i
\(544\) −2.90825 + 1.67908i −0.124690 + 0.0719898i
\(545\) −4.86466 1.77059i −0.208379 0.0758438i
\(546\) 1.94392 + 25.3127i 0.0831920 + 1.08328i
\(547\) −33.4537 + 5.89879i −1.43038 + 0.252214i −0.834565 0.550909i \(-0.814281\pi\)
−0.595813 + 0.803124i \(0.703170\pi\)
\(548\) −6.21590 17.0780i −0.265530 0.729538i
\(549\) 20.0879 + 3.98372i 0.857331 + 0.170021i
\(550\) 0.781463i 0.0333217i
\(551\) 10.1996 0.906809i 0.434517 0.0386314i
\(552\) 5.42847 1.39293i 0.231051 0.0592872i
\(553\) 0.843012 1.00466i 0.0358485 0.0427226i
\(554\) −2.59378 + 0.944060i −0.110199 + 0.0401093i
\(555\) 12.6263 5.72526i 0.535955 0.243024i
\(556\) 0.788983 4.47455i 0.0334603 0.189763i
\(557\) −12.0113 + 33.0008i −0.508936 + 1.39829i 0.373401 + 0.927670i \(0.378192\pi\)
−0.882337 + 0.470619i \(0.844031\pi\)
\(558\) −1.95710 + 3.22939i −0.0828507 + 0.136711i
\(559\) 21.8646 + 12.6235i 0.924773 + 0.533918i
\(560\) −1.75726 2.09422i −0.0742576 0.0884968i
\(561\) 3.69545 + 2.64652i 0.156022 + 0.111736i
\(562\) 9.40380 16.2879i 0.396675 0.687062i
\(563\) −12.8672 22.2866i −0.542286 0.939267i −0.998772 0.0495367i \(-0.984226\pi\)
0.456486 0.889731i \(-0.349108\pi\)
\(564\) 2.09234 + 0.205470i 0.0881036 + 0.00865185i
\(565\) −1.23163 0.217169i −0.0518150 0.00913638i
\(566\) −0.948766 5.38072i −0.0398796 0.226168i
\(567\) 5.29769 24.0271i 0.222482 1.00905i
\(568\) 11.3338 + 9.51018i 0.475555 + 0.399038i
\(569\) 22.7561 0.953986 0.476993 0.878907i \(-0.341727\pi\)
0.476993 + 0.878907i \(0.341727\pi\)
\(570\) 5.82798 4.79945i 0.244107 0.201027i
\(571\) −31.7792 −1.32992 −0.664960 0.746879i \(-0.731551\pi\)
−0.664960 + 0.746879i \(0.731551\pi\)
\(572\) 3.20959 + 2.69316i 0.134200 + 0.112607i
\(573\) −6.96501 + 4.76752i −0.290968 + 0.199166i
\(574\) −3.88204 22.0161i −0.162033 0.918935i
\(575\) 3.18651 + 0.561867i 0.132887 + 0.0234315i
\(576\) 2.96482 0.458076i 0.123534 0.0190865i
\(577\) 0.196726 + 0.340739i 0.00818980 + 0.0141852i 0.870091 0.492891i \(-0.164060\pi\)
−0.861901 + 0.507076i \(0.830726\pi\)
\(578\) −2.86140 + 4.95610i −0.119019 + 0.206147i
\(579\) 3.97106 5.54498i 0.165032 0.230441i
\(580\) 1.51002 + 1.79957i 0.0627002 + 0.0747232i
\(581\) 36.6613 + 21.1664i 1.52097 + 0.878131i
\(582\) −6.67277 6.81604i −0.276595 0.282534i
\(583\) 1.37823 3.78664i 0.0570803 0.156827i
\(584\) 1.09165 6.19106i 0.0451729 0.256188i
\(585\) −10.0749 12.5383i −0.416545 0.518393i
\(586\) 18.0698 6.57687i 0.746457 0.271688i
\(587\) −8.57342 + 10.2174i −0.353863 + 0.421718i −0.913384 0.407098i \(-0.866541\pi\)
0.559521 + 0.828816i \(0.310985\pi\)
\(588\) 0.203922 + 0.794716i 0.00840962 + 0.0327735i
\(589\) 5.46639 + 0.470499i 0.225239 + 0.0193866i
\(590\) 3.43752i 0.141520i
\(591\) −39.8385 19.0947i −1.63874 0.785451i
\(592\) −2.73759 7.52148i −0.112514 0.309131i
\(593\) −27.1682 + 4.79048i −1.11566 + 0.196721i −0.700936 0.713225i \(-0.747234\pi\)
−0.414727 + 0.909946i \(0.636123\pi\)
\(594\) −2.22192 3.39876i −0.0911665 0.139453i
\(595\) 8.62688 + 3.13993i 0.353668 + 0.128725i
\(596\) −19.0918 + 11.0226i −0.782030 + 0.451505i
\(597\) −33.1024 9.24767i −1.35479 0.378482i
\(598\) −13.2894 + 11.1511i −0.543442 + 0.456002i
\(599\) 24.2964 20.3871i 0.992722 0.832993i 0.00676271 0.999977i \(-0.497847\pi\)
0.985960 + 0.166984i \(0.0534029\pi\)
\(600\) 1.66818 + 0.466031i 0.0681031 + 0.0190256i
\(601\) 14.9017 8.60351i 0.607854 0.350944i −0.164271 0.986415i \(-0.552527\pi\)
0.772125 + 0.635471i \(0.219194\pi\)
\(602\) 12.0970 + 4.40295i 0.493037 + 0.179451i
\(603\) −23.7266 + 8.06932i −0.966221 + 0.328608i
\(604\) 0.902896 0.159205i 0.0367383 0.00647796i
\(605\) −3.55335 9.76276i −0.144464 0.396913i
\(606\) −15.8820 7.61230i −0.645164 0.309229i
\(607\) 32.4539i 1.31726i −0.752466 0.658631i \(-0.771136\pi\)
0.752466 0.658631i \(-0.228864\pi\)
\(608\) −2.50518 3.56708i −0.101599 0.144664i
\(609\) −2.76471 10.7745i −0.112032 0.436605i
\(610\) 4.38791 5.22930i 0.177661 0.211728i
\(611\) −6.11545 + 2.22584i −0.247405 + 0.0900480i
\(612\) −7.85328 + 6.31036i −0.317450 + 0.255081i
\(613\) −2.96289 + 16.8034i −0.119670 + 0.678682i 0.864662 + 0.502355i \(0.167533\pi\)
−0.984332 + 0.176327i \(0.943578\pi\)
\(614\) 6.13513 16.8561i 0.247594 0.680258i
\(615\) 9.90844 + 10.1212i 0.399547 + 0.408125i
\(616\) 1.85015 + 1.06818i 0.0745447 + 0.0430384i
\(617\) 4.93525 + 5.88161i 0.198686 + 0.236785i 0.856183 0.516672i \(-0.172829\pi\)
−0.657497 + 0.753457i \(0.728385\pi\)
\(618\) −11.8489 + 16.5452i −0.476633 + 0.665544i
\(619\) 8.77468 15.1982i 0.352684 0.610867i −0.634035 0.773305i \(-0.718602\pi\)
0.986719 + 0.162438i \(0.0519357\pi\)
\(620\) 0.629356 + 1.09008i 0.0252756 + 0.0437785i
\(621\) 15.4564 6.61646i 0.620243 0.265509i
\(622\) 2.99071 + 0.527343i 0.119916 + 0.0211445i
\(623\) −7.74721 43.9366i −0.310385 1.76028i
\(624\) −7.66311 + 5.24537i −0.306770 + 0.209983i
\(625\) 0.766044 + 0.642788i 0.0306418 + 0.0257115i
\(626\) 29.3867 1.17453
\(627\) −2.99691 + 5.08208i −0.119685 + 0.202959i
\(628\) 3.34923 0.133649
\(629\) 20.5907 + 17.2777i 0.821006 + 0.688906i
\(630\) −6.16926 5.40402i −0.245789 0.215301i
\(631\) 5.71572 + 32.4155i 0.227539 + 1.29044i 0.857771 + 0.514032i \(0.171849\pi\)
−0.630232 + 0.776407i \(0.717040\pi\)
\(632\) 0.472444 + 0.0833046i 0.0187928 + 0.00331368i
\(633\) −34.9168 3.42887i −1.38782 0.136285i
\(634\) 1.49879 + 2.59598i 0.0595246 + 0.103100i
\(635\) −10.6838 + 18.5048i −0.423972 + 0.734341i
\(636\) 7.26137 + 5.20026i 0.287932 + 0.206204i
\(637\) −1.63249 1.94553i −0.0646818 0.0770847i
\(638\) −1.58984 0.917897i −0.0629425 0.0363399i
\(639\) 37.9590 + 23.0042i 1.50164 + 0.910034i
\(640\) 0.342020 0.939693i 0.0135195 0.0371446i
\(641\) 2.98431 16.9249i 0.117873 0.668492i −0.867414 0.497587i \(-0.834220\pi\)
0.985287 0.170905i \(-0.0546692\pi\)
\(642\) 2.12132 0.961892i 0.0837218 0.0379629i
\(643\) 9.88767 3.59882i 0.389932 0.141923i −0.139612 0.990206i \(-0.544585\pi\)
0.529543 + 0.848283i \(0.322363\pi\)
\(644\) −5.68589 + 6.77618i −0.224056 + 0.267019i
\(645\) −7.90020 + 2.02717i −0.311070 + 0.0798199i
\(646\) 13.2751 + 6.16755i 0.522301 + 0.242659i
\(647\) 17.4264i 0.685101i 0.939499 + 0.342551i \(0.111291\pi\)
−0.939499 + 0.342551i \(0.888709\pi\)
\(648\) 8.58033 2.71623i 0.337067 0.106703i
\(649\) 0.918767 + 2.52429i 0.0360648 + 0.0990871i
\(650\) −5.28005 + 0.931015i −0.207101 + 0.0365174i
\(651\) −0.456371 5.94262i −0.0178866 0.232910i
\(652\) 1.88560 + 0.686304i 0.0738459 + 0.0268777i
\(653\) −9.49553 + 5.48225i −0.371589 + 0.214537i −0.674152 0.738592i \(-0.735491\pi\)
0.302564 + 0.953129i \(0.402158\pi\)
\(654\) −2.41258 + 8.63592i −0.0943392 + 0.337691i
\(655\) 9.86355 8.27650i 0.385401 0.323390i
\(656\) 6.26434 5.25641i 0.244582 0.205228i
\(657\) 0.400574 18.8555i 0.0156279 0.735621i
\(658\) −2.87379 + 1.65918i −0.112032 + 0.0646816i
\(659\) −26.9232 9.79923i −1.04878 0.381724i −0.240576 0.970630i \(-0.577336\pi\)
−0.808201 + 0.588906i \(0.799559\pi\)
\(660\) −1.34956 + 0.103641i −0.0525316 + 0.00403423i
\(661\) −25.5439 + 4.50408i −0.993543 + 0.175188i −0.646708 0.762738i \(-0.723855\pi\)
−0.346835 + 0.937926i \(0.612744\pi\)
\(662\) 2.60039 + 7.14452i 0.101067 + 0.277680i
\(663\) 13.4788 28.1218i 0.523474 1.09216i
\(664\) 15.4849i 0.600932i
\(665\) −3.06799 + 11.5147i −0.118972 + 0.446520i
\(666\) −11.5619 21.0458i −0.448014 0.815508i
\(667\) 4.88592 5.82281i 0.189184 0.225460i
\(668\) 12.6405 4.60077i 0.489076 0.178009i
\(669\) −17.5661 38.7395i −0.679144 1.49776i
\(670\) −1.45061 + 8.22683i −0.0560420 + 0.317830i
\(671\) −1.82453 + 5.01285i −0.0704351 + 0.193519i
\(672\) −3.38359 + 3.31247i −0.130525 + 0.127781i
\(673\) 40.5925 + 23.4361i 1.56472 + 0.903394i 0.996768 + 0.0803356i \(0.0255992\pi\)
0.567957 + 0.823059i \(0.307734\pi\)
\(674\) 3.90634 + 4.65540i 0.150467 + 0.179319i
\(675\) 5.15933 + 0.617546i 0.198583 + 0.0237694i
\(676\) 7.87285 13.6362i 0.302802 0.524468i
\(677\) −2.49156 4.31550i −0.0957583 0.165858i 0.814167 0.580631i \(-0.197194\pi\)
−0.909925 + 0.414773i \(0.863861\pi\)
\(678\) −0.211700 + 2.15578i −0.00813028 + 0.0827923i
\(679\) 14.8266 + 2.61433i 0.568993 + 0.100329i
\(680\) 0.583137 + 3.30713i 0.0223623 + 0.126823i
\(681\) 12.6681 + 18.5072i 0.485443 + 0.709197i
\(682\) −0.753510 0.632270i −0.0288534 0.0242109i
\(683\) −38.2737 −1.46450 −0.732251 0.681035i \(-0.761530\pi\)
−0.732251 + 0.681035i \(0.761530\pi\)
\(684\) −9.06141 9.42819i −0.346472 0.360496i
\(685\) −18.1741 −0.694395
\(686\) 13.6675 + 11.4684i 0.521828 + 0.437865i
\(687\) −17.1278 25.0225i −0.653467 0.954669i
\(688\) 0.817700 + 4.63741i 0.0311745 + 0.176800i
\(689\) −27.2269 4.80083i −1.03726 0.182897i
\(690\) 0.547716 5.57751i 0.0208512 0.212332i
\(691\) −9.80824 16.9884i −0.373123 0.646268i 0.616921 0.787025i \(-0.288380\pi\)
−0.990044 + 0.140757i \(0.955046\pi\)
\(692\) −11.6378 + 20.1573i −0.442404 + 0.766266i
\(693\) 5.97467 + 2.31947i 0.226959 + 0.0881093i
\(694\) 22.1017 + 26.3397i 0.838967 + 0.999842i
\(695\) −3.93485 2.27179i −0.149257 0.0861738i
\(696\) 2.90753 2.84642i 0.110210 0.107893i
\(697\) −9.39234 + 25.8052i −0.355760 + 0.977443i
\(698\) 2.41526 13.6976i 0.0914189 0.518462i
\(699\) 21.1954 + 46.7436i 0.801685 + 1.76800i
\(700\) −2.56894 + 0.935017i −0.0970967 + 0.0353403i
\(701\) 24.3730 29.0466i 0.920555 1.09707i −0.0744474 0.997225i \(-0.523719\pi\)
0.995003 0.0998499i \(-0.0318363\pi\)
\(702\) −20.3170 + 19.0619i −0.766815 + 0.719444i
\(703\) −19.9715 + 28.6079i −0.753241 + 1.07897i
\(704\) 0.781463i 0.0294525i
\(705\) 0.908702 1.89588i 0.0342237 0.0714032i
\(706\) 6.15458 + 16.9096i 0.231631 + 0.636400i
\(707\) 27.3760 4.82713i 1.02958 0.181543i
\(708\) −5.93648 + 0.455899i −0.223106 + 0.0171337i
\(709\) 8.14093 + 2.96305i 0.305739 + 0.111280i 0.490333 0.871535i \(-0.336875\pi\)
−0.184595 + 0.982815i \(0.559097\pi\)
\(710\) 12.8130 7.39760i 0.480864 0.277627i
\(711\) 1.43887 + 0.0305680i 0.0539619 + 0.00114639i
\(712\) 12.5015 10.4900i 0.468513 0.393129i
\(713\) 3.11992 2.61793i 0.116842 0.0980421i
\(714\) 4.27841 15.3148i 0.160116 0.573141i
\(715\) 3.62849 2.09491i 0.135698 0.0783451i
\(716\) 1.60906 + 0.585650i 0.0601334 + 0.0218868i
\(717\) 0.265578 + 3.45822i 0.00991820 + 0.129149i
\(718\) −34.0236 + 5.99927i −1.26975 + 0.223891i
\(719\) −9.13952 25.1106i −0.340847 0.936468i −0.985150 0.171698i \(-0.945075\pi\)
0.644303 0.764770i \(-0.277148\pi\)
\(720\) 0.583578 2.94269i 0.0217487 0.109668i
\(721\) 32.1203i 1.19622i
\(722\) −6.44812 + 17.8724i −0.239974 + 0.665141i
\(723\) −10.4676 + 2.68596i −0.389294 + 0.0998920i
\(724\) −4.80217 + 5.72301i −0.178471 + 0.212694i
\(725\) 2.20750 0.803465i 0.0819846 0.0298399i
\(726\) −16.3887 + 7.43130i −0.608242 + 0.275802i
\(727\) 1.20264 6.82053i 0.0446036 0.252959i −0.954350 0.298690i \(-0.903450\pi\)
0.998954 + 0.0457304i \(0.0145615\pi\)
\(728\) 5.01309 13.7734i 0.185798 0.510475i
\(729\) 24.1949 11.9836i 0.896108 0.443836i
\(730\) −5.44433 3.14329i −0.201504 0.116338i
\(731\) −10.1646 12.1137i −0.375953 0.448043i
\(732\) −9.61277 6.88423i −0.355298 0.254449i
\(733\) 15.0984 26.1512i 0.557673 0.965918i −0.440017 0.897989i \(-0.645028\pi\)
0.997690 0.0679288i \(-0.0216391\pi\)
\(734\) −6.80203 11.7815i −0.251067 0.434862i
\(735\) 0.816534 + 0.0801844i 0.0301183 + 0.00295765i
\(736\) −3.18651 0.561867i −0.117456 0.0207107i
\(737\) −1.13360 6.42896i −0.0417567 0.236814i
\(738\) 16.1648 18.4539i 0.595035 0.679296i
\(739\) 35.1410 + 29.4868i 1.29268 + 1.08469i 0.991360 + 0.131168i \(0.0418728\pi\)
0.301323 + 0.953522i \(0.402572\pi\)
\(740\) −8.00419 −0.294240
\(741\) 37.9081 + 14.1943i 1.39259 + 0.521441i
\(742\) −14.0970 −0.517518
\(743\) −40.3350 33.8451i −1.47975 1.24166i −0.906453 0.422308i \(-0.861220\pi\)
−0.573296 0.819348i \(-0.694335\pi\)
\(744\) 1.79906 1.23145i 0.0659566 0.0451471i
\(745\) 3.82813 + 21.7104i 0.140252 + 0.795407i
\(746\) 10.0363 + 1.76967i 0.367455 + 0.0647921i
\(747\) 7.09328 + 45.9101i 0.259530 + 1.67976i
\(748\) −1.31214 2.27269i −0.0479765 0.0830977i
\(749\) −1.83817 + 3.18381i −0.0671653 + 0.116334i
\(750\) 1.00848 1.40818i 0.0368243 0.0514195i
\(751\) 26.6642 + 31.7771i 0.972990 + 1.15956i 0.987171 + 0.159665i \(0.0510413\pi\)
−0.0141816 + 0.999899i \(0.504514\pi\)
\(752\) −1.05120 0.606913i −0.0383335 0.0221318i
\(753\) −8.86094 9.05118i −0.322911 0.329843i
\(754\) −4.30778 + 11.8355i −0.156880 + 0.431024i
\(755\) 0.159205 0.902896i 0.00579406 0.0328598i
\(756\) −8.51436 + 11.3708i −0.309664 + 0.413552i
\(757\) −42.7265 + 15.5512i −1.55292 + 0.565218i −0.969101 0.246664i \(-0.920665\pi\)
−0.583822 + 0.811882i \(0.698443\pi\)
\(758\) −12.7292 + 15.1701i −0.462346 + 0.551003i
\(759\) 1.08853 + 4.24215i 0.0395110 + 0.153980i
\(760\) −4.20878 + 1.13409i −0.152669 + 0.0411377i
\(761\) 41.2983i 1.49706i 0.663099 + 0.748532i \(0.269241\pi\)
−0.663099 + 0.748532i \(0.730759\pi\)
\(762\) 33.3741 + 15.9963i 1.20902 + 0.579485i
\(763\) −4.84045 13.2990i −0.175236 0.481457i
\(764\) 4.79905 0.846201i 0.173623 0.0306145i
\(765\) 3.24382 + 9.53794i 0.117280 + 0.344845i
\(766\) 4.16337 + 1.51534i 0.150429 + 0.0547516i
\(767\) 15.9611 9.21513i 0.576321 0.332739i
\(768\) −1.66818 0.466031i −0.0601952 0.0168164i
\(769\) 15.1146 12.6826i 0.545046 0.457348i −0.328214 0.944604i \(-0.606447\pi\)
0.873259 + 0.487256i \(0.162002\pi\)
\(770\) 1.63655 1.37323i 0.0589773 0.0494878i
\(771\) 35.8243 + 10.0081i 1.29018 + 0.360431i
\(772\) −3.41014 + 1.96884i −0.122734 + 0.0708602i
\(773\) 21.2188 + 7.72300i 0.763186 + 0.277777i 0.694143 0.719837i \(-0.255783\pi\)
0.0690426 + 0.997614i \(0.478006\pi\)
\(774\) 4.54862 + 13.3745i 0.163497 + 0.480737i
\(775\) 1.23959 0.218573i 0.0445274 0.00785138i
\(776\) 1.88354 + 5.17497i 0.0676150 + 0.185771i
\(777\) 34.1775 + 16.3814i 1.22611 + 0.587678i
\(778\) 33.6500i 1.20641i
\(779\) −34.4434 9.17715i −1.23406 0.328806i
\(780\) 2.30810 + 8.99499i 0.0826431 + 0.322072i
\(781\) −7.43185 + 8.85694i −0.265933 + 0.316926i
\(782\) 10.2106 3.71634i 0.365129 0.132896i
\(783\) 7.31644 9.77100i 0.261468 0.349187i
\(784\) 0.0822561 0.466497i 0.00293772 0.0166606i
\(785\) 1.14550 3.14724i 0.0408848 0.112330i
\(786\) −15.6014 15.9364i −0.556483 0.568431i
\(787\) 14.5793 + 8.41738i 0.519697 + 0.300047i 0.736811 0.676099i \(-0.236331\pi\)
−0.217114 + 0.976146i \(0.569664\pi\)
\(788\) 16.3951 + 19.5390i 0.584053 + 0.696047i
\(789\) 9.55347 13.3399i 0.340112 0.474915i
\(790\) 0.239866 0.415460i 0.00853405 0.0147814i
\(791\) −1.70949 2.96092i −0.0607823 0.105278i
\(792\) 0.357970 + 2.31690i 0.0127199 + 0.0823274i
\(793\) 36.0436 + 6.35546i 1.27995 + 0.225689i
\(794\) 6.15137 + 34.8862i 0.218304 + 1.23806i
\(795\) 7.37019 5.04486i 0.261394 0.178923i
\(796\) 15.2010 + 12.7551i 0.538784 + 0.452094i
\(797\) −43.1773 −1.52942 −0.764709 0.644376i \(-0.777117\pi\)
−0.764709 + 0.644376i \(0.777117\pi\)
\(798\) 20.2923 + 3.77119i 0.718341 + 0.133499i
\(799\) 4.07621 0.144206
\(800\) −0.766044 0.642788i −0.0270838 0.0227260i
\(801\) 32.2594 36.8276i 1.13983 1.30124i
\(802\) 3.53849 + 20.0677i 0.124948 + 0.708617i
\(803\) 4.83809 + 0.853086i 0.170732 + 0.0301047i
\(804\) 14.3998 + 1.41408i 0.507843 + 0.0498707i
\(805\) 4.42284 + 7.66058i 0.155885 + 0.270000i
\(806\) −3.37429 + 5.84445i −0.118854 + 0.205862i
\(807\) 21.3809 + 15.3121i 0.752644 + 0.539010i
\(808\) 6.53609 + 7.78941i 0.229939 + 0.274031i
\(809\) 30.1850 + 17.4273i 1.06125 + 0.612711i 0.925777 0.378071i \(-0.123412\pi\)
0.135470 + 0.990781i \(0.456746\pi\)
\(810\) 0.382228 8.99188i 0.0134301 0.315942i
\(811\) −11.0768 + 30.4333i −0.388959 + 1.06866i 0.578512 + 0.815674i \(0.303634\pi\)
−0.967471 + 0.252982i \(0.918589\pi\)
\(812\) −1.11520 + 6.32462i −0.0391359 + 0.221951i
\(813\) 16.8472 7.63922i 0.590858 0.267919i
\(814\) 5.87776 2.13933i 0.206015 0.0749834i
\(815\) 1.28983 1.53716i 0.0451807 0.0538443i
\(816\) 5.63397 1.44567i 0.197228 0.0506084i
\(817\) 14.4935 14.5344i 0.507064 0.508493i
\(818\) 30.6671i 1.07225i
\(819\) 8.55368 43.1319i 0.298890 1.50715i
\(820\) −2.79688 7.68435i −0.0976712 0.268349i
\(821\) −1.40900 + 0.248444i −0.0491743 + 0.00867075i −0.198181 0.980165i \(-0.563503\pi\)
0.149007 + 0.988836i \(0.452392\pi\)
\(822\) 2.41033 + 31.3860i 0.0840698 + 1.09471i
\(823\) −8.60472 3.13186i −0.299942 0.109170i 0.187666 0.982233i \(-0.439908\pi\)
−0.487607 + 0.873063i \(0.662130\pi\)
\(824\) 10.1752 5.87466i 0.354470 0.204653i
\(825\) −0.364186 + 1.30362i −0.0126793 + 0.0453862i
\(826\) 7.19891 6.04060i 0.250482 0.210179i
\(827\) −15.0219 + 12.6049i −0.522362 + 0.438314i −0.865454 0.500988i \(-0.832970\pi\)
0.343092 + 0.939302i \(0.388526\pi\)
\(828\) −9.70481 0.206173i −0.337265 0.00716502i
\(829\) −27.0740 + 15.6312i −0.940318 + 0.542893i −0.890060 0.455844i \(-0.849338\pi\)
−0.0502577 + 0.998736i \(0.516004\pi\)
\(830\) 14.5511 + 5.29616i 0.505076 + 0.183833i
\(831\) 4.76685 0.366076i 0.165360 0.0126991i
\(832\) 5.28005 0.931015i 0.183053 0.0322771i
\(833\) 0.544064 + 1.49480i 0.0188507 + 0.0517919i
\(834\) −3.40144 + 7.09665i −0.117782 + 0.245737i
\(835\) 13.4518i 0.465517i
\(836\) 2.78754 1.95771i 0.0964092 0.0677088i
\(837\) 4.76979 4.47513i 0.164868 0.154683i
\(838\) −10.3299 + 12.3107i −0.356841 + 0.425267i
\(839\) −18.7355 + 6.81915i −0.646820 + 0.235423i −0.644536 0.764574i \(-0.722949\pi\)
−0.00228403 + 0.999997i \(0.500727\pi\)
\(840\) 1.95545 + 4.31246i 0.0674693 + 0.148794i
\(841\) −4.07750 + 23.1246i −0.140603 + 0.797402i
\(842\) 11.7063 32.1628i 0.403426 1.10840i
\(843\) −23.2778 + 22.7886i −0.801732 + 0.784880i
\(844\) 17.5424 + 10.1281i 0.603834 + 0.348624i
\(845\) −10.1211 12.0619i −0.348178 0.414942i
\(846\) −3.39464 1.31786i −0.116710 0.0453089i
\(847\) 14.2012 24.5972i 0.487958 0.845169i
\(848\) −2.57828 4.46571i −0.0885385 0.153353i
\(849\) −0.924871 + 9.41815i −0.0317415 + 0.323230i
\(850\) 3.30713 + 0.583137i 0.113434 + 0.0200014i
\(851\) 4.49729 + 25.5054i 0.154165 + 0.874314i
\(852\) −14.4747 21.1466i −0.495896 0.724469i
\(853\) 20.2110 + 16.9590i 0.692011 + 0.580666i 0.919488 0.393117i \(-0.128603\pi\)
−0.227478 + 0.973783i \(0.573048\pi\)
\(854\) 18.6620 0.638600
\(855\) −11.9588 + 5.29031i −0.408982 + 0.180925i
\(856\) −1.34477 −0.0459633
\(857\) −9.52082 7.98892i −0.325225 0.272896i 0.465526 0.885034i \(-0.345865\pi\)
−0.790751 + 0.612138i \(0.790310\pi\)
\(858\) −4.09906 5.98844i −0.139940 0.204442i
\(859\) 8.19991 + 46.5040i 0.279777 + 1.58670i 0.723365 + 0.690466i \(0.242594\pi\)
−0.443588 + 0.896231i \(0.646295\pi\)
\(860\) 4.63741 + 0.817700i 0.158134 + 0.0278834i
\(861\) −3.78426 + 38.5359i −0.128967 + 1.31330i
\(862\) −12.1289 21.0078i −0.413112 0.715530i
\(863\) 17.0133 29.4678i 0.579138 1.00310i −0.416440 0.909163i \(-0.636723\pi\)
0.995578 0.0939336i \(-0.0299441\pi\)
\(864\) −5.15933 0.617546i −0.175524 0.0210093i
\(865\) 14.9613 + 17.8302i 0.508700 + 0.606245i
\(866\) 13.0112 + 7.51200i 0.442137 + 0.255268i
\(867\) 7.08302 6.93415i 0.240552 0.235496i
\(868\) −1.17692 + 3.23355i −0.0399472 + 0.109754i
\(869\) −0.0650995 + 0.369197i −0.00220835 + 0.0125242i
\(870\) −1.68033 3.70572i −0.0569684 0.125636i
\(871\) −42.0875 + 15.3186i −1.42608 + 0.519051i
\(872\) 3.32762 3.96571i 0.112687 0.134296i
\(873\) 7.95488 + 14.4801i 0.269232 + 0.490076i
\(874\) 5.97856 + 12.7741i 0.202228 + 0.432091i
\(875\) 2.73381i 0.0924195i
\(876\) −4.70629 + 9.81905i −0.159011 + 0.331755i
\(877\) −0.252654 0.694160i −0.00853151 0.0234401i 0.935354 0.353714i \(-0.115081\pi\)
−0.943885 + 0.330273i \(0.892859\pi\)
\(878\) 32.5806 5.74483i 1.09954 0.193879i
\(879\) −33.2087 + 2.55030i −1.12010 + 0.0860195i
\(880\) 0.734335 + 0.267276i 0.0247544 + 0.00900988i
\(881\) 31.7476 18.3295i 1.06960 0.617536i 0.141530 0.989934i \(-0.454798\pi\)
0.928073 + 0.372398i \(0.121464\pi\)
\(882\) 0.0301833 1.42076i 0.00101632 0.0478395i
\(883\) −13.9478 + 11.7036i −0.469382 + 0.393859i −0.846569 0.532279i \(-0.821336\pi\)
0.377187 + 0.926137i \(0.376891\pi\)
\(884\) −13.7924 + 11.5732i −0.463890 + 0.389250i
\(885\) −1.60199 + 5.73439i −0.0538503 + 0.192759i
\(886\) 1.41131 0.814820i 0.0474139 0.0273744i
\(887\) −42.3234 15.4045i −1.42108 0.517232i −0.486720 0.873558i \(-0.661807\pi\)
−0.934362 + 0.356326i \(0.884029\pi\)
\(888\) 1.06155 + 13.8230i 0.0356233 + 0.463868i
\(889\) −57.5272 + 10.1436i −1.92940 + 0.340205i
\(890\) −5.58160 15.3353i −0.187096 0.514041i
\(891\) 2.12263 + 6.70522i 0.0711109 + 0.224633i
\(892\) 24.5582i 0.822270i
\(893\) 0.468551 + 5.27016i 0.0156795 + 0.176359i
\(894\) 36.9854 9.49037i 1.23698 0.317405i
\(895\) 1.10066 1.31172i 0.0367911 0.0438459i
\(896\) 2.56894 0.935017i 0.0858222 0.0312367i
\(897\) 27.3658 12.4088i 0.913716 0.414316i
\(898\) −5.41032 + 30.6834i −0.180545 + 1.02392i
\(899\) 1.01133 2.77861i 0.0337298 0.0926718i
\(900\) −2.56563 1.55484i −0.0855210 0.0518281i
\(901\) 14.9965 + 8.65825i 0.499607 + 0.288448i
\(902\) 4.10769 + 4.89535i 0.136771 + 0.162997i
\(903\) −18.1280 12.9825i −0.603263 0.432029i
\(904\) 0.625314 1.08308i 0.0207976 0.0360225i
\(905\) 3.73543 + 6.46995i 0.124170 + 0.215068i
\(906\) −1.58039 0.155195i −0.0525048 0.00515602i
\(907\) −10.4233 1.83790i −0.346099 0.0610265i −0.00210298 0.999998i \(-0.500669\pi\)
−0.343996 + 0.938971i \(0.611781\pi\)
\(908\) −2.24850 12.7519i −0.0746190 0.423185i
\(909\) 22.9465 + 20.1002i 0.761087 + 0.666681i
\(910\) −11.2281 9.42153i −0.372209 0.312321i
\(911\) −6.25956 −0.207388 −0.103694 0.994609i \(-0.533066\pi\)
−0.103694 + 0.994609i \(0.533066\pi\)
\(912\) 2.51672 + 7.11801i 0.0833369 + 0.235701i
\(913\) −12.1009 −0.400482
\(914\) −3.04576 2.55570i −0.100745 0.0845349i
\(915\) −9.75682 + 6.67851i −0.322551 + 0.220785i
\(916\) 3.04006 + 17.2411i 0.100447 + 0.569661i
\(917\) 34.6656 + 6.11248i 1.14476 + 0.201852i
\(918\) 16.0415 6.86693i 0.529448 0.226642i
\(919\) −22.2366 38.5149i −0.733517 1.27049i −0.955371 0.295408i \(-0.904544\pi\)
0.221855 0.975080i \(-0.428789\pi\)
\(920\) −1.61783 + 2.80217i −0.0533384 + 0.0923847i
\(921\) −18.0900 + 25.2599i −0.596084 + 0.832340i
\(922\) −12.0623 14.3753i −0.397250 0.473424i
\(923\) 68.6971 + 39.6623i 2.26119 + 1.30550i
\(924\) −2.58857 2.64415i −0.0851577 0.0869861i
\(925\) −2.73759 + 7.52148i −0.0900115 + 0.247305i
\(926\) 4.12930 23.4184i 0.135697 0.769578i
\(927\) 27.4766 22.0783i 0.902451 0.725147i
\(928\) −2.20750 + 0.803465i −0.0724648 + 0.0263750i
\(929\) −17.8487 + 21.2712i −0.585595 + 0.697886i −0.974753 0.223286i \(-0.928322\pi\)
0.389158 + 0.921171i \(0.372766\pi\)
\(930\) −0.541868 2.11174i −0.0177686 0.0692467i
\(931\) −1.87010 + 0.875247i −0.0612900 + 0.0286851i
\(932\) 29.6322i 0.970636i
\(933\) −4.74327 2.27346i −0.155288 0.0744298i
\(934\) −5.07781 13.9512i −0.166151 0.456496i
\(935\) −2.58440 + 0.455700i −0.0845191 + 0.0149030i
\(936\) 15.2279 5.17896i 0.497740 0.169280i
\(937\) 6.07991 + 2.21291i 0.198622 + 0.0722925i 0.439416 0.898284i \(-0.355186\pi\)
−0.240794 + 0.970576i \(0.577408\pi\)
\(938\) −19.7779 + 11.4187i −0.645770 + 0.372835i
\(939\) −49.0222 13.6951i −1.59978 0.446923i
\(940\) −0.929844 + 0.780232i −0.0303282 + 0.0254484i
\(941\) −21.1990 + 17.7880i −0.691066 + 0.579873i −0.919216 0.393753i \(-0.871177\pi\)
0.228150 + 0.973626i \(0.426732\pi\)
\(942\) −5.58711 1.56084i −0.182038 0.0508550i
\(943\) −22.9148 + 13.2299i −0.746208 + 0.430823i
\(944\) 3.23021 + 1.17570i 0.105134 + 0.0382658i
\(945\) 7.77298 + 11.8899i 0.252855 + 0.386780i
\(946\) −3.62397 + 0.639003i −0.117825 + 0.0207758i
\(947\) 1.43753 + 3.94957i 0.0467133 + 0.128344i 0.960856 0.277050i \(-0.0893567\pi\)
−0.914142 + 0.405394i \(0.867134\pi\)
\(948\) −0.749297 0.359140i −0.0243360 0.0116643i
\(949\) 33.7055i 1.09413i
\(950\) −0.373794 + 4.34284i −0.0121275 + 0.140900i
\(951\) −1.29044 5.02905i −0.0418455 0.163078i
\(952\) −5.90114 + 7.03270i −0.191257 + 0.227931i
\(953\) 22.9891 8.36735i 0.744691 0.271045i 0.0583207 0.998298i \(-0.481425\pi\)
0.686370 + 0.727253i \(0.259203\pi\)
\(954\) −9.68977 12.0590i −0.313718 0.390424i
\(955\) 0.846201 4.79905i 0.0273824 0.155293i
\(956\) 0.684889 1.88172i 0.0221509 0.0608591i
\(957\) 2.22437 + 2.27213i 0.0719038 + 0.0734476i
\(958\) −1.15544 0.667096i −0.0373307 0.0215529i
\(959\) −31.9365 38.0604i −1.03128 1.22904i
\(960\) −1.00848 + 1.40818i −0.0325484 + 0.0454489i
\(961\) −14.7078 + 25.4747i −0.474446 + 0.821764i
\(962\) −21.4572 37.1650i −0.691809 1.19825i
\(963\) −3.98701 + 0.616007i −0.128479 + 0.0198506i
\(964\) 6.14446 + 1.08343i 0.197900 + 0.0348951i
\(965\) 0.683772 + 3.87786i 0.0220114 + 0.124833i
\(966\) 12.6430 8.65407i 0.406781 0.278440i
\(967\) 8.75165 + 7.34350i 0.281434 + 0.236151i 0.772567 0.634934i \(-0.218973\pi\)
−0.491133 + 0.871085i \(0.663417\pi\)
\(968\) 10.3893 0.333925
\(969\) −19.2709 16.4752i −0.619071 0.529259i
\(970\) 5.50709 0.176822
\(971\) −10.6375 8.92595i −0.341375 0.286447i 0.455941 0.890010i \(-0.349303\pi\)
−0.797315 + 0.603563i \(0.793747\pi\)
\(972\) −15.5794 + 0.532450i −0.499708 + 0.0170783i
\(973\) −2.15693 12.2325i −0.0691479 0.392157i
\(974\) −9.85735 1.73812i −0.315850 0.0556929i
\(975\) 9.24194 + 0.907567i 0.295979 + 0.0290654i
\(976\) 3.41319 + 5.91181i 0.109253 + 0.189232i
\(977\) −19.3968 + 33.5963i −0.620560 + 1.07484i 0.368821 + 0.929500i \(0.379761\pi\)
−0.989382 + 0.145341i \(0.953572\pi\)
\(978\) −2.82568 2.02363i −0.0903554 0.0647084i
\(979\) 8.19754 + 9.76945i 0.261994 + 0.312233i
\(980\) −0.410231 0.236847i −0.0131043 0.00756580i
\(981\) 8.04921 13.2819i 0.256991 0.424059i
\(982\) −3.24848 + 8.92512i −0.103663 + 0.284812i
\(983\) −4.31240 + 24.4568i −0.137544 + 0.780052i 0.835510 + 0.549475i \(0.185172\pi\)
−0.973054 + 0.230577i \(0.925939\pi\)
\(984\) −12.8997 + 5.84924i −0.411227 + 0.186467i
\(985\) 23.9681 8.72367i 0.763687 0.277959i
\(986\) 5.07088 6.04324i 0.161490 0.192456i
\(987\) 5.56722 1.42854i 0.177206 0.0454708i
\(988\) −16.5485 16.5020i −0.526478 0.524998i
\(989\) 15.2366i 0.484495i
\(990\) 2.29961 + 0.456045i 0.0730863 + 0.0144941i
\(991\) 17.2555 + 47.4092i 0.548140 + 1.50600i 0.836219 + 0.548395i \(0.184761\pi\)
−0.288080 + 0.957606i \(0.593017\pi\)
\(992\) −1.23959 + 0.218573i −0.0393570 + 0.00693970i
\(993\) −1.00835 13.1302i −0.0319990 0.416674i
\(994\) 38.0080 + 13.8338i 1.20554 + 0.438780i
\(995\) 17.1850 9.92174i 0.544800 0.314540i
\(996\) 7.21646 25.8316i 0.228662 0.818507i
\(997\) 11.0692 9.28817i 0.350565 0.294159i −0.450452 0.892801i \(-0.648737\pi\)
0.801017 + 0.598642i \(0.204293\pi\)
\(998\) −29.6921 + 24.9146i −0.939886 + 0.788658i
\(999\) 9.47928 + 40.4963i 0.299911 + 1.28125i
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 570.2.bb.a.41.5 84
3.2 odd 2 570.2.bb.b.41.6 yes 84
19.13 odd 18 570.2.bb.b.431.6 yes 84
57.32 even 18 inner 570.2.bb.a.431.5 yes 84
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
570.2.bb.a.41.5 84 1.1 even 1 trivial
570.2.bb.a.431.5 yes 84 57.32 even 18 inner
570.2.bb.b.41.6 yes 84 3.2 odd 2
570.2.bb.b.431.6 yes 84 19.13 odd 18