Properties

Label 637.2.bl.a.53.11
Level $637$
Weight $2$
Character 637.53
Analytic conductor $5.086$
Analytic rank $0$
Dimension $324$
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] = [637,2,Mod(53,637)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(637, base_ring=CyclotomicField(42))
 
chi = DirichletCharacter(H, H._module([10, 0]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("637.53");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 637 = 7^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 637.bl (of order \(21\), degree \(12\), 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: \(5.08647060876\)
Analytic rank: \(0\)
Dimension: \(324\)
Relative dimension: \(27\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 53.11
Character \(\chi\) \(=\) 637.53
Dual form 637.2.bl.a.625.11

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.639784 - 0.436198i) q^{2} +(1.84518 + 1.71208i) q^{3} +(-0.511626 - 1.30360i) q^{4} +(-1.40912 + 0.434655i) q^{5} +(-0.433714 - 1.90023i) q^{6} +(-2.31520 + 1.28057i) q^{7} +(-0.585909 + 2.56703i) q^{8} +(0.249293 + 3.32659i) q^{9} +O(q^{10})\) \(q+(-0.639784 - 0.436198i) q^{2} +(1.84518 + 1.71208i) q^{3} +(-0.511626 - 1.30360i) q^{4} +(-1.40912 + 0.434655i) q^{5} +(-0.433714 - 1.90023i) q^{6} +(-2.31520 + 1.28057i) q^{7} +(-0.585909 + 2.56703i) q^{8} +(0.249293 + 3.32659i) q^{9} +(1.09113 + 0.336568i) q^{10} +(0.0220810 - 0.294650i) q^{11} +(1.28783 - 3.28133i) q^{12} +(0.900969 - 0.433884i) q^{13} +(2.03981 + 0.190598i) q^{14} +(-3.34424 - 1.61050i) q^{15} +(-0.558553 + 0.518262i) q^{16} +(-3.39451 + 0.511640i) q^{17} +(1.29156 - 2.23704i) q^{18} +(2.26235 + 3.91851i) q^{19} +(1.28756 + 1.61455i) q^{20} +(-6.46440 - 1.60093i) q^{21} +(-0.142653 + 0.178881i) q^{22} +(-8.53426 - 1.28633i) q^{23} +(-5.47607 + 3.73352i) q^{24} +(-2.33451 + 1.59164i) q^{25} +(-0.765685 - 0.115408i) q^{26} +(-0.527189 + 0.661074i) q^{27} +(2.85387 + 2.36293i) q^{28} +(-1.44222 - 1.80848i) q^{29} +(1.43710 + 2.48912i) q^{30} +(-5.10610 + 8.84402i) q^{31} +(5.79070 - 0.872808i) q^{32} +(0.545208 - 0.505879i) q^{33} +(2.39493 + 1.15334i) q^{34} +(2.70578 - 2.81078i) q^{35} +(4.20900 - 2.02695i) q^{36} +(-3.34059 + 8.51169i) q^{37} +(0.261826 - 3.49383i) q^{38} +(2.40530 + 0.741936i) q^{39} +(-0.290160 - 3.87192i) q^{40} +(0.134834 - 0.590747i) q^{41} +(3.43750 + 3.84400i) q^{42} +(-2.30617 - 10.1040i) q^{43} +(-0.395404 + 0.121966i) q^{44} +(-1.79720 - 4.57919i) q^{45} +(4.89899 + 4.54560i) q^{46} +(9.14696 + 6.23629i) q^{47} -1.91794 q^{48} +(3.72030 - 5.92953i) q^{49} +2.18785 q^{50} +(-7.13946 - 4.86760i) q^{51} +(-1.02657 - 0.952519i) q^{52} +(-0.294123 - 0.749414i) q^{53} +(0.625646 - 0.192986i) q^{54} +(0.0969564 + 0.424794i) q^{55} +(-1.93076 - 6.69349i) q^{56} +(-2.53434 + 11.1037i) q^{57} +(0.133852 + 1.78613i) q^{58} +(-0.771937 - 0.238111i) q^{59} +(-0.388452 + 5.18353i) q^{60} +(-0.927664 + 2.36365i) q^{61} +(7.12454 - 3.43100i) q^{62} +(-4.83708 - 7.38248i) q^{63} +(-2.71252 - 1.30628i) q^{64} +(-1.08098 + 1.00300i) q^{65} +(-0.569479 + 0.0858351i) q^{66} +(1.59956 - 2.77052i) q^{67} +(2.40370 + 4.16332i) q^{68} +(-13.5450 - 16.9849i) q^{69} +(-2.95717 + 0.618037i) q^{70} +(2.24343 - 2.81317i) q^{71} +(-8.68553 - 1.30913i) q^{72} +(1.37433 - 0.937005i) q^{73} +(5.85004 - 3.98849i) q^{74} +(-7.03262 - 1.06000i) q^{75} +(3.95070 - 4.95402i) q^{76} +(0.326197 + 0.710450i) q^{77} +(-1.21524 - 1.52386i) q^{78} +(8.21958 + 14.2367i) q^{79} +(0.561801 - 0.973068i) q^{80} +(7.79140 - 1.17436i) q^{81} +(-0.343947 + 0.319136i) q^{82} +(-9.61895 - 4.63224i) q^{83} +(1.22038 + 9.24608i) q^{84} +(4.56087 - 2.19640i) q^{85} +(-2.93189 + 7.47033i) q^{86} +(0.435112 - 5.80617i) q^{87} +(0.743439 + 0.229321i) q^{88} +(-0.742744 - 9.91123i) q^{89} +(-0.847612 + 3.71363i) q^{90} +(-1.53031 + 2.15828i) q^{91} +(2.68949 + 11.7834i) q^{92} +(-24.5633 + 7.57679i) q^{93} +(-3.13183 - 7.97976i) q^{94} +(-4.89111 - 4.53829i) q^{95} +(12.1792 + 8.30365i) q^{96} +10.6227 q^{97} +(-4.96664 + 2.17084i) q^{98} +0.985684 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 324 q - 3 q^{2} + 25 q^{4} + q^{5} - 24 q^{6} - 21 q^{7} + 24 q^{8} + 11 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 324 q - 3 q^{2} + 25 q^{4} + q^{5} - 24 q^{6} - 21 q^{7} + 24 q^{8} + 11 q^{9} - 5 q^{10} - 18 q^{11} - 40 q^{12} + 54 q^{13} - 15 q^{14} + 6 q^{15} + 29 q^{16} - 6 q^{17} + 49 q^{18} - 24 q^{19} + 11 q^{20} - 6 q^{22} - 42 q^{23} + 20 q^{24} + 14 q^{25} + 3 q^{26} - 33 q^{27} + 7 q^{28} - 22 q^{29} + 57 q^{30} - 31 q^{31} - 139 q^{32} + 6 q^{33} + 50 q^{34} + 42 q^{35} - 78 q^{36} - 4 q^{37} - 90 q^{38} + 40 q^{40} + 8 q^{41} + 20 q^{42} + 34 q^{43} - 256 q^{44} + 19 q^{45} + 85 q^{46} + 34 q^{47} - 10 q^{48} + 51 q^{49} - 54 q^{50} + 74 q^{51} - 25 q^{52} + 10 q^{53} + 111 q^{54} - 10 q^{55} - 196 q^{56} - 5 q^{57} - 21 q^{58} + 65 q^{59} + 87 q^{60} + 3 q^{61} - 54 q^{62} - 35 q^{63} - 28 q^{64} - q^{65} - 110 q^{66} + 135 q^{67} - 158 q^{68} + 42 q^{69} + 44 q^{70} + 9 q^{71} - 133 q^{72} + 31 q^{73} - 97 q^{74} - 315 q^{75} - 177 q^{76} + 6 q^{77} - 25 q^{78} + 43 q^{79} - 20 q^{80} - 259 q^{81} + 96 q^{82} + 59 q^{83} + 285 q^{84} + 6 q^{85} + 95 q^{86} - 206 q^{87} + 228 q^{88} + 43 q^{89} - 61 q^{90} - 7 q^{91} + 53 q^{92} - 10 q^{93} - 36 q^{94} - 17 q^{95} + 277 q^{96} + 66 q^{97} + 260 q^{98} - 206 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(248\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{21}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.639784 0.436198i −0.452396 0.308438i 0.315601 0.948892i \(-0.397794\pi\)
−0.767997 + 0.640454i \(0.778746\pi\)
\(3\) 1.84518 + 1.71208i 1.06532 + 0.988470i 0.999956 0.00939205i \(-0.00298963\pi\)
0.0653610 + 0.997862i \(0.479180\pi\)
\(4\) −0.511626 1.30360i −0.255813 0.651801i
\(5\) −1.40912 + 0.434655i −0.630176 + 0.194383i −0.593358 0.804939i \(-0.702198\pi\)
−0.0368175 + 0.999322i \(0.511722\pi\)
\(6\) −0.433714 1.90023i −0.177063 0.775764i
\(7\) −2.31520 + 1.28057i −0.875063 + 0.484009i
\(8\) −0.585909 + 2.56703i −0.207150 + 0.907583i
\(9\) 0.249293 + 3.32659i 0.0830978 + 1.10886i
\(10\) 1.09113 + 0.336568i 0.345044 + 0.106432i
\(11\) 0.0220810 0.294650i 0.00665766 0.0888403i −0.992885 0.119076i \(-0.962007\pi\)
0.999543 + 0.0302358i \(0.00962581\pi\)
\(12\) 1.28783 3.28133i 0.371764 0.947238i
\(13\) 0.900969 0.433884i 0.249884 0.120338i
\(14\) 2.03981 + 0.190598i 0.545162 + 0.0509396i
\(15\) −3.34424 1.61050i −0.863479 0.415830i
\(16\) −0.558553 + 0.518262i −0.139638 + 0.129565i
\(17\) −3.39451 + 0.511640i −0.823290 + 0.124091i −0.547158 0.837029i \(-0.684290\pi\)
−0.276131 + 0.961120i \(0.589052\pi\)
\(18\) 1.29156 2.23704i 0.304423 0.527276i
\(19\) 2.26235 + 3.91851i 0.519019 + 0.898967i 0.999756 + 0.0221020i \(0.00703587\pi\)
−0.480737 + 0.876865i \(0.659631\pi\)
\(20\) 1.28756 + 1.61455i 0.287907 + 0.361023i
\(21\) −6.46440 1.60093i −1.41065 0.349351i
\(22\) −0.142653 + 0.178881i −0.0304137 + 0.0381375i
\(23\) −8.53426 1.28633i −1.77952 0.268219i −0.824733 0.565522i \(-0.808675\pi\)
−0.954783 + 0.297303i \(0.903913\pi\)
\(24\) −5.47607 + 3.73352i −1.11780 + 0.762103i
\(25\) −2.33451 + 1.59164i −0.466902 + 0.318329i
\(26\) −0.765685 0.115408i −0.150163 0.0226335i
\(27\) −0.527189 + 0.661074i −0.101458 + 0.127224i
\(28\) 2.85387 + 2.36293i 0.539330 + 0.446552i
\(29\) −1.44222 1.80848i −0.267813 0.335826i 0.629681 0.776854i \(-0.283186\pi\)
−0.897494 + 0.441027i \(0.854614\pi\)
\(30\) 1.43710 + 2.48912i 0.262377 + 0.454450i
\(31\) −5.10610 + 8.84402i −0.917082 + 1.58843i −0.113258 + 0.993566i \(0.536129\pi\)
−0.803824 + 0.594867i \(0.797205\pi\)
\(32\) 5.79070 0.872808i 1.02366 0.154292i
\(33\) 0.545208 0.505879i 0.0949085 0.0880622i
\(34\) 2.39493 + 1.15334i 0.410727 + 0.197796i
\(35\) 2.70578 2.81078i 0.457360 0.475108i
\(36\) 4.20900 2.02695i 0.701501 0.337825i
\(37\) −3.34059 + 8.51169i −0.549190 + 1.39931i 0.339413 + 0.940637i \(0.389771\pi\)
−0.888603 + 0.458676i \(0.848324\pi\)
\(38\) 0.261826 3.49383i 0.0424739 0.566774i
\(39\) 2.40530 + 0.741936i 0.385156 + 0.118805i
\(40\) −0.290160 3.87192i −0.0458783 0.612204i
\(41\) 0.134834 0.590747i 0.0210575 0.0922591i −0.963307 0.268401i \(-0.913505\pi\)
0.984365 + 0.176142i \(0.0563618\pi\)
\(42\) 3.43750 + 3.84400i 0.530418 + 0.593143i
\(43\) −2.30617 10.1040i −0.351688 1.54085i −0.773282 0.634062i \(-0.781386\pi\)
0.421594 0.906785i \(-0.361471\pi\)
\(44\) −0.395404 + 0.121966i −0.0596094 + 0.0183871i
\(45\) −1.79720 4.57919i −0.267911 0.682626i
\(46\) 4.89899 + 4.54560i 0.722317 + 0.670212i
\(47\) 9.14696 + 6.23629i 1.33422 + 0.909656i 0.999467 0.0326492i \(-0.0103944\pi\)
0.334754 + 0.942306i \(0.391347\pi\)
\(48\) −1.91794 −0.276831
\(49\) 3.72030 5.92953i 0.531472 0.847076i
\(50\) 2.18785 0.309409
\(51\) −7.13946 4.86760i −0.999724 0.681601i
\(52\) −1.02657 0.952519i −0.142360 0.132091i
\(53\) −0.294123 0.749414i −0.0404009 0.102940i 0.909249 0.416252i \(-0.136657\pi\)
−0.949650 + 0.313312i \(0.898561\pi\)
\(54\) 0.625646 0.192986i 0.0851396 0.0262621i
\(55\) 0.0969564 + 0.424794i 0.0130736 + 0.0572792i
\(56\) −1.93076 6.69349i −0.258009 0.894455i
\(57\) −2.53434 + 11.1037i −0.335682 + 1.47072i
\(58\) 0.133852 + 1.78613i 0.0175756 + 0.234530i
\(59\) −0.771937 0.238111i −0.100498 0.0309994i 0.244099 0.969750i \(-0.421508\pi\)
−0.344596 + 0.938751i \(0.611984\pi\)
\(60\) −0.388452 + 5.18353i −0.0501490 + 0.669191i
\(61\) −0.927664 + 2.36365i −0.118775 + 0.302634i −0.977880 0.209165i \(-0.932925\pi\)
0.859105 + 0.511799i \(0.171021\pi\)
\(62\) 7.12454 3.43100i 0.904818 0.435737i
\(63\) −4.83708 7.38248i −0.609415 0.930105i
\(64\) −2.71252 1.30628i −0.339065 0.163285i
\(65\) −1.08098 + 1.00300i −0.134079 + 0.124407i
\(66\) −0.569479 + 0.0858351i −0.0700980 + 0.0105656i
\(67\) 1.59956 2.77052i 0.195417 0.338473i −0.751620 0.659596i \(-0.770727\pi\)
0.947037 + 0.321124i \(0.104061\pi\)
\(68\) 2.40370 + 4.16332i 0.291491 + 0.504877i
\(69\) −13.5450 16.9849i −1.63062 2.04474i
\(70\) −2.95717 + 0.618037i −0.353450 + 0.0738696i
\(71\) 2.24343 2.81317i 0.266246 0.333862i −0.630680 0.776043i \(-0.717224\pi\)
0.896926 + 0.442182i \(0.145795\pi\)
\(72\) −8.68553 1.30913i −1.02360 0.154283i
\(73\) 1.37433 0.937005i 0.160854 0.109668i −0.480218 0.877149i \(-0.659442\pi\)
0.641072 + 0.767481i \(0.278490\pi\)
\(74\) 5.85004 3.98849i 0.680053 0.463653i
\(75\) −7.03262 1.06000i −0.812057 0.122398i
\(76\) 3.95070 4.95402i 0.453176 0.568265i
\(77\) 0.326197 + 0.710450i 0.0371736 + 0.0809633i
\(78\) −1.21524 1.52386i −0.137599 0.172544i
\(79\) 8.21958 + 14.2367i 0.924775 + 1.60176i 0.791923 + 0.610621i \(0.209080\pi\)
0.132852 + 0.991136i \(0.457586\pi\)
\(80\) 0.561801 0.973068i 0.0628113 0.108792i
\(81\) 7.79140 1.17436i 0.865711 0.130485i
\(82\) −0.343947 + 0.319136i −0.0379826 + 0.0352427i
\(83\) −9.61895 4.63224i −1.05582 0.508455i −0.176307 0.984335i \(-0.556415\pi\)
−0.879510 + 0.475880i \(0.842129\pi\)
\(84\) 1.22038 + 9.24608i 0.133155 + 1.00883i
\(85\) 4.56087 2.19640i 0.494696 0.238233i
\(86\) −2.93189 + 7.47033i −0.316154 + 0.805547i
\(87\) 0.435112 5.80617i 0.0466489 0.622486i
\(88\) 0.743439 + 0.229321i 0.0792509 + 0.0244457i
\(89\) −0.742744 9.91123i −0.0787307 1.05059i −0.886998 0.461773i \(-0.847213\pi\)
0.808267 0.588816i \(-0.200406\pi\)
\(90\) −0.847612 + 3.71363i −0.0893462 + 0.391451i
\(91\) −1.53031 + 2.15828i −0.160420 + 0.226249i
\(92\) 2.68949 + 11.7834i 0.280398 + 1.22850i
\(93\) −24.5633 + 7.57679i −2.54710 + 0.785676i
\(94\) −3.13183 7.97976i −0.323023 0.823050i
\(95\) −4.89111 4.53829i −0.501817 0.465618i
\(96\) 12.1792 + 8.30365i 1.24304 + 0.847488i
\(97\) 10.6227 1.07857 0.539284 0.842124i \(-0.318695\pi\)
0.539284 + 0.842124i \(0.318695\pi\)
\(98\) −4.96664 + 2.17084i −0.501706 + 0.219288i
\(99\) 0.985684 0.0990650
\(100\) 3.26927 + 2.22895i 0.326927 + 0.222895i
\(101\) 5.47274 + 5.07796i 0.544558 + 0.505276i 0.903792 0.427972i \(-0.140772\pi\)
−0.359234 + 0.933247i \(0.616962\pi\)
\(102\) 2.44448 + 6.22843i 0.242040 + 0.616707i
\(103\) 7.84318 2.41930i 0.772811 0.238381i 0.116824 0.993153i \(-0.462729\pi\)
0.655987 + 0.754772i \(0.272253\pi\)
\(104\) 0.585909 + 2.56703i 0.0574531 + 0.251718i
\(105\) 9.80494 0.553889i 0.956864 0.0540540i
\(106\) −0.138717 + 0.607759i −0.0134734 + 0.0590308i
\(107\) 1.29879 + 17.3312i 0.125559 + 1.67547i 0.603721 + 0.797196i \(0.293684\pi\)
−0.478162 + 0.878272i \(0.658697\pi\)
\(108\) 1.13150 + 0.349022i 0.108879 + 0.0335846i
\(109\) −1.31621 + 17.5636i −0.126070 + 1.68229i 0.472590 + 0.881283i \(0.343319\pi\)
−0.598660 + 0.801004i \(0.704300\pi\)
\(110\) 0.123263 0.314068i 0.0117526 0.0299453i
\(111\) −20.7367 + 9.98627i −1.96824 + 0.947855i
\(112\) 0.629494 1.91514i 0.0594816 0.180964i
\(113\) −9.68650 4.66477i −0.911230 0.438825i −0.0812978 0.996690i \(-0.525906\pi\)
−0.829932 + 0.557865i \(0.811621\pi\)
\(114\) 6.46483 5.99849i 0.605487 0.561810i
\(115\) 12.5849 1.89686i 1.17355 0.176883i
\(116\) −1.61966 + 2.80534i −0.150382 + 0.260469i
\(117\) 1.66796 + 2.88899i 0.154203 + 0.267087i
\(118\) 0.390010 + 0.489057i 0.0359033 + 0.0450213i
\(119\) 7.20378 5.53144i 0.660369 0.507067i
\(120\) 6.09363 7.64117i 0.556270 0.697540i
\(121\) 10.7908 + 1.62645i 0.980983 + 0.147859i
\(122\) 1.62452 1.10758i 0.147077 0.100276i
\(123\) 1.26020 0.859189i 0.113628 0.0774705i
\(124\) 14.1415 + 2.13149i 1.26994 + 0.191413i
\(125\) 7.19486 9.02207i 0.643528 0.806959i
\(126\) −0.125532 + 6.83312i −0.0111833 + 0.608743i
\(127\) 1.86999 + 2.34489i 0.165934 + 0.208075i 0.857846 0.513907i \(-0.171802\pi\)
−0.691911 + 0.721983i \(0.743231\pi\)
\(128\) −4.69048 8.12414i −0.414583 0.718080i
\(129\) 13.0436 22.5921i 1.14842 1.98912i
\(130\) 1.12910 0.170185i 0.0990288 0.0149262i
\(131\) 5.05808 4.69321i 0.441926 0.410048i −0.427574 0.903980i \(-0.640632\pi\)
0.869500 + 0.493933i \(0.164441\pi\)
\(132\) −0.938408 0.451913i −0.0816779 0.0393340i
\(133\) −10.2557 6.17503i −0.889282 0.535443i
\(134\) −2.23187 + 1.07481i −0.192804 + 0.0928495i
\(135\) 0.455531 1.16067i 0.0392059 0.0998949i
\(136\) 0.675476 9.01360i 0.0579216 0.772909i
\(137\) −15.6664 4.83245i −1.33847 0.412864i −0.458841 0.888519i \(-0.651735\pi\)
−0.879632 + 0.475654i \(0.842211\pi\)
\(138\) 1.25711 + 16.7749i 0.107012 + 1.42798i
\(139\) 1.47888 6.47941i 0.125437 0.549576i −0.872683 0.488287i \(-0.837622\pi\)
0.998120 0.0612888i \(-0.0195211\pi\)
\(140\) −5.04849 2.08919i −0.426675 0.176569i
\(141\) 6.20079 + 27.1674i 0.522200 + 2.28791i
\(142\) −2.66241 + 0.821244i −0.223424 + 0.0689172i
\(143\) −0.107950 0.275051i −0.00902720 0.0230009i
\(144\) −1.86329 1.72888i −0.155274 0.144073i
\(145\) 2.81831 + 1.92149i 0.234048 + 0.159571i
\(146\) −1.28800 −0.106595
\(147\) 17.0165 4.57162i 1.40349 0.377061i
\(148\) 12.8050 1.05256
\(149\) −11.7994 8.04469i −0.966644 0.659047i −0.0264370 0.999650i \(-0.508416\pi\)
−0.940207 + 0.340604i \(0.889369\pi\)
\(150\) 4.03699 + 3.74578i 0.329619 + 0.305842i
\(151\) −1.60188 4.08152i −0.130359 0.332149i 0.850760 0.525554i \(-0.176142\pi\)
−0.981119 + 0.193405i \(0.938047\pi\)
\(152\) −11.3845 + 3.51164i −0.923402 + 0.284832i
\(153\) −2.54824 11.1646i −0.206013 0.902604i
\(154\) 0.101201 0.596821i 0.00815499 0.0480932i
\(155\) 3.35099 14.6816i 0.269158 1.17926i
\(156\) −0.263424 3.51514i −0.0210908 0.281437i
\(157\) −10.6331 3.27988i −0.848614 0.261763i −0.160203 0.987084i \(-0.551215\pi\)
−0.688411 + 0.725321i \(0.741691\pi\)
\(158\) 0.951269 12.6938i 0.0756789 1.00986i
\(159\) 0.740345 1.88637i 0.0587132 0.149599i
\(160\) −7.78040 + 3.74684i −0.615094 + 0.296214i
\(161\) 21.4058 7.95057i 1.68701 0.626592i
\(162\) −5.49707 2.64725i −0.431891 0.207988i
\(163\) 3.53115 3.27643i 0.276581 0.256630i −0.529669 0.848204i \(-0.677684\pi\)
0.806250 + 0.591574i \(0.201493\pi\)
\(164\) −0.839084 + 0.126472i −0.0655214 + 0.00987577i
\(165\) −0.548378 + 0.949819i −0.0426912 + 0.0739433i
\(166\) 4.13348 + 7.15940i 0.320820 + 0.555677i
\(167\) −1.42607 1.78824i −0.110353 0.138378i 0.723588 0.690233i \(-0.242492\pi\)
−0.833940 + 0.551855i \(0.813920\pi\)
\(168\) 7.89718 15.6563i 0.609281 1.20791i
\(169\) 0.623490 0.781831i 0.0479608 0.0601409i
\(170\) −3.87604 0.584219i −0.297279 0.0448075i
\(171\) −12.4713 + 8.50277i −0.953702 + 0.650223i
\(172\) −11.9917 + 8.17581i −0.914359 + 0.623400i
\(173\) −23.3194 3.51484i −1.77294 0.267228i −0.820434 0.571741i \(-0.806268\pi\)
−0.952508 + 0.304513i \(0.901506\pi\)
\(174\) −2.81101 + 3.52490i −0.213102 + 0.267222i
\(175\) 3.36666 6.67447i 0.254495 0.504542i
\(176\) 0.140372 + 0.176021i 0.0105810 + 0.0132681i
\(177\) −1.01670 1.76097i −0.0764198 0.132363i
\(178\) −3.84806 + 6.66504i −0.288424 + 0.499566i
\(179\) 13.0466 1.96646i 0.975151 0.146980i 0.357911 0.933756i \(-0.383489\pi\)
0.617240 + 0.786775i \(0.288251\pi\)
\(180\) −5.04995 + 4.68567i −0.376401 + 0.349249i
\(181\) 0.466745 + 0.224773i 0.0346929 + 0.0167072i 0.451150 0.892448i \(-0.351014\pi\)
−0.416457 + 0.909155i \(0.636728\pi\)
\(182\) 1.92050 0.713317i 0.142357 0.0528745i
\(183\) −5.75846 + 2.77313i −0.425678 + 0.204996i
\(184\) 8.30236 21.1541i 0.612058 1.55950i
\(185\) 1.00764 13.4460i 0.0740829 0.988567i
\(186\) 19.0202 + 5.86696i 1.39463 + 0.430187i
\(187\) 0.0758007 + 1.01149i 0.00554310 + 0.0739675i
\(188\) 3.44982 15.1146i 0.251604 1.10235i
\(189\) 0.373999 2.20562i 0.0272044 0.160435i
\(190\) 1.14967 + 5.03702i 0.0834055 + 0.365424i
\(191\) 18.9274 5.83834i 1.36954 0.422447i 0.479186 0.877714i \(-0.340932\pi\)
0.890355 + 0.455266i \(0.150456\pi\)
\(192\) −2.76864 7.05438i −0.199809 0.509106i
\(193\) 13.8607 + 12.8609i 0.997718 + 0.925747i 0.997239 0.0742526i \(-0.0236571\pi\)
0.000478820 1.00000i \(0.499848\pi\)
\(194\) −6.79622 4.63358i −0.487940 0.332672i
\(195\) −3.71183 −0.265809
\(196\) −9.63316 1.81609i −0.688083 0.129721i
\(197\) −3.94208 −0.280861 −0.140431 0.990091i \(-0.544849\pi\)
−0.140431 + 0.990091i \(0.544849\pi\)
\(198\) −0.630625 0.429953i −0.0448166 0.0305554i
\(199\) 15.9305 + 14.7813i 1.12928 + 1.04782i 0.998407 + 0.0564211i \(0.0179689\pi\)
0.130874 + 0.991399i \(0.458222\pi\)
\(200\) −2.71799 6.92533i −0.192191 0.489695i
\(201\) 7.69483 2.37354i 0.542751 0.167417i
\(202\) −1.28638 5.63600i −0.0905093 0.396547i
\(203\) 5.65490 + 2.34014i 0.396896 + 0.164246i
\(204\) −2.69268 + 11.7974i −0.188525 + 0.825984i
\(205\) 0.0667740 + 0.891037i 0.00466370 + 0.0622327i
\(206\) −6.07323 1.87334i −0.423142 0.130522i
\(207\) 2.15157 28.7106i 0.149544 1.99553i
\(208\) −0.278374 + 0.709285i −0.0193017 + 0.0491801i
\(209\) 1.20454 0.580077i 0.0833200 0.0401248i
\(210\) −6.51465 3.92252i −0.449554 0.270680i
\(211\) 9.12505 + 4.39439i 0.628195 + 0.302523i 0.720761 0.693184i \(-0.243793\pi\)
−0.0925661 + 0.995707i \(0.529507\pi\)
\(212\) −0.826457 + 0.766840i −0.0567613 + 0.0526668i
\(213\) 8.95590 1.34988i 0.613648 0.0924926i
\(214\) 6.72887 11.6547i 0.459976 0.796702i
\(215\) 7.64142 + 13.2353i 0.521140 + 0.902642i
\(216\) −1.38811 1.74064i −0.0944492 0.118436i
\(217\) 0.496283 27.0144i 0.0336899 1.83385i
\(218\) 8.50328 10.6628i 0.575915 0.722175i
\(219\) 4.14013 + 0.624024i 0.279764 + 0.0421676i
\(220\) 0.504157 0.343728i 0.0339902 0.0231741i
\(221\) −2.83636 + 1.93379i −0.190794 + 0.130081i
\(222\) 17.6230 + 2.65624i 1.18278 + 0.178275i
\(223\) −5.27931 + 6.62004i −0.353528 + 0.443311i −0.926517 0.376253i \(-0.877212\pi\)
0.572989 + 0.819563i \(0.305784\pi\)
\(224\) −12.2889 + 9.43610i −0.821089 + 0.630476i
\(225\) −5.87672 7.36917i −0.391781 0.491278i
\(226\) 4.16251 + 7.20968i 0.276886 + 0.479581i
\(227\) −9.80238 + 16.9782i −0.650607 + 1.12688i 0.332369 + 0.943149i \(0.392152\pi\)
−0.982976 + 0.183735i \(0.941181\pi\)
\(228\) 15.7714 2.37716i 1.04449 0.157431i
\(229\) −7.58650 + 7.03925i −0.501330 + 0.465167i −0.889836 0.456280i \(-0.849182\pi\)
0.388506 + 0.921446i \(0.372991\pi\)
\(230\) −8.87901 4.27591i −0.585465 0.281945i
\(231\) −0.614454 + 1.86939i −0.0404281 + 0.122997i
\(232\) 5.48744 2.64261i 0.360268 0.173496i
\(233\) −7.28296 + 18.5567i −0.477123 + 1.21569i 0.466457 + 0.884544i \(0.345530\pi\)
−0.943580 + 0.331145i \(0.892565\pi\)
\(234\) 0.193036 2.57589i 0.0126192 0.168391i
\(235\) −15.5998 4.81189i −1.01762 0.313893i
\(236\) 0.0845411 + 1.12812i 0.00550315 + 0.0734345i
\(237\) −9.20779 + 40.3419i −0.598110 + 2.62049i
\(238\) −7.02167 + 0.396660i −0.455147 + 0.0257116i
\(239\) 2.43388 + 10.6635i 0.157434 + 0.689765i 0.990606 + 0.136750i \(0.0436657\pi\)
−0.833171 + 0.553015i \(0.813477\pi\)
\(240\) 2.70260 0.833641i 0.174452 0.0538113i
\(241\) −3.21171 8.18329i −0.206884 0.527132i 0.789339 0.613957i \(-0.210423\pi\)
−0.996224 + 0.0868247i \(0.972328\pi\)
\(242\) −6.19434 5.74750i −0.398187 0.369464i
\(243\) 18.4830 + 12.6015i 1.18569 + 0.808388i
\(244\) 3.55587 0.227642
\(245\) −2.66503 + 9.97244i −0.170263 + 0.637116i
\(246\) −1.18103 −0.0752999
\(247\) 3.73848 + 2.54885i 0.237874 + 0.162180i
\(248\) −19.7112 18.2893i −1.25166 1.16137i
\(249\) −9.81796 25.0157i −0.622188 1.58531i
\(250\) −8.53857 + 2.63380i −0.540027 + 0.166576i
\(251\) 0.885586 + 3.88001i 0.0558977 + 0.244904i 0.995156 0.0983068i \(-0.0313427\pi\)
−0.939258 + 0.343211i \(0.888486\pi\)
\(252\) −7.14904 + 10.0827i −0.450347 + 0.635151i
\(253\) −0.567463 + 2.48622i −0.0356761 + 0.156307i
\(254\) −0.173553 2.31591i −0.0108897 0.145313i
\(255\) 12.1761 + 3.75581i 0.762494 + 0.235198i
\(256\) −0.992814 + 13.2482i −0.0620509 + 0.828011i
\(257\) −7.27666 + 18.5406i −0.453906 + 1.15653i 0.502522 + 0.864564i \(0.332405\pi\)
−0.956428 + 0.291969i \(0.905690\pi\)
\(258\) −18.1997 + 8.76450i −1.13306 + 0.545654i
\(259\) −3.16564 23.9841i −0.196704 1.49030i
\(260\) 1.86057 + 0.896006i 0.115388 + 0.0555679i
\(261\) 5.65654 5.24850i 0.350131 0.324874i
\(262\) −5.28325 + 0.796321i −0.326400 + 0.0491969i
\(263\) −6.93902 + 12.0187i −0.427879 + 0.741107i −0.996684 0.0813644i \(-0.974072\pi\)
0.568806 + 0.822472i \(0.307406\pi\)
\(264\) 0.979166 + 1.69597i 0.0602635 + 0.104379i
\(265\) 0.740190 + 0.928169i 0.0454695 + 0.0570170i
\(266\) 3.86790 + 8.42420i 0.237156 + 0.516521i
\(267\) 15.5983 19.5597i 0.954602 1.19703i
\(268\) −4.43003 0.667720i −0.270607 0.0407875i
\(269\) 12.9801 8.84966i 0.791409 0.539573i −0.0988103 0.995106i \(-0.531504\pi\)
0.890219 + 0.455533i \(0.150551\pi\)
\(270\) −0.797725 + 0.543880i −0.0485480 + 0.0330995i
\(271\) −12.8954 1.94367i −0.783339 0.118069i −0.254817 0.966989i \(-0.582015\pi\)
−0.528522 + 0.848920i \(0.677253\pi\)
\(272\) 1.63085 2.04502i 0.0988849 0.123998i
\(273\) −6.51884 + 1.36241i −0.394538 + 0.0824569i
\(274\) 7.91523 + 9.92538i 0.478176 + 0.599614i
\(275\) 0.417429 + 0.723009i 0.0251719 + 0.0435991i
\(276\) −15.2115 + 26.3471i −0.915627 + 1.58591i
\(277\) 10.3787 1.56433i 0.623594 0.0939917i 0.170358 0.985382i \(-0.445508\pi\)
0.453236 + 0.891391i \(0.350269\pi\)
\(278\) −3.77247 + 3.50034i −0.226258 + 0.209936i
\(279\) −30.6933 14.7811i −1.83756 0.884923i
\(280\) 5.63002 + 8.59269i 0.336458 + 0.513511i
\(281\) −2.38184 + 1.14703i −0.142088 + 0.0684262i −0.503577 0.863950i \(-0.667983\pi\)
0.361489 + 0.932377i \(0.382269\pi\)
\(282\) 7.88320 20.0861i 0.469438 1.19611i
\(283\) 1.90949 25.4804i 0.113507 1.51465i −0.591995 0.805942i \(-0.701659\pi\)
0.705502 0.708708i \(-0.250722\pi\)
\(284\) −4.81505 1.48525i −0.285721 0.0881331i
\(285\) −1.25508 16.7479i −0.0743448 0.992062i
\(286\) −0.0509122 + 0.223061i −0.00301050 + 0.0131899i
\(287\) 0.444322 + 1.54036i 0.0262275 + 0.0909246i
\(288\) 4.34706 + 19.0457i 0.256153 + 1.12228i
\(289\) −4.98382 + 1.53730i −0.293166 + 0.0904296i
\(290\) −0.964962 2.45868i −0.0566645 0.144379i
\(291\) 19.6008 + 18.1868i 1.14902 + 1.06613i
\(292\) −1.92463 1.31219i −0.112630 0.0767901i
\(293\) 7.04485 0.411565 0.205782 0.978598i \(-0.434026\pi\)
0.205782 + 0.978598i \(0.434026\pi\)
\(294\) −12.8810 4.49769i −0.751235 0.262311i
\(295\) 1.19124 0.0693569
\(296\) −19.8925 13.5625i −1.15623 0.788304i
\(297\) 0.183145 + 0.169933i 0.0106271 + 0.00986053i
\(298\) 4.03999 + 10.2937i 0.234031 + 0.596300i
\(299\) −8.24722 + 2.54393i −0.476949 + 0.147119i
\(300\) 2.21626 + 9.71006i 0.127956 + 0.560611i
\(301\) 18.2781 + 20.4396i 1.05353 + 1.17812i
\(302\) −0.755493 + 3.31003i −0.0434737 + 0.190471i
\(303\) 1.40433 + 18.7395i 0.0806769 + 1.07656i
\(304\) −3.29445 1.01620i −0.188950 0.0582833i
\(305\) 0.279815 3.73387i 0.0160221 0.213801i
\(306\) −3.23964 + 8.25447i −0.185198 + 0.471877i
\(307\) −2.22844 + 1.07316i −0.127184 + 0.0612485i −0.496394 0.868098i \(-0.665343\pi\)
0.369210 + 0.929346i \(0.379628\pi\)
\(308\) 0.759253 0.788716i 0.0432625 0.0449413i
\(309\) 18.6141 + 8.96409i 1.05892 + 0.509949i
\(310\) −8.54800 + 7.93139i −0.485494 + 0.450473i
\(311\) 1.78102 0.268446i 0.100992 0.0152222i −0.0983516 0.995152i \(-0.531357\pi\)
0.199344 + 0.979930i \(0.436119\pi\)
\(312\) −3.31386 + 5.73977i −0.187610 + 0.324950i
\(313\) −4.06713 7.04448i −0.229888 0.398177i 0.727887 0.685697i \(-0.240503\pi\)
−0.957775 + 0.287520i \(0.907169\pi\)
\(314\) 5.37222 + 6.73655i 0.303172 + 0.380165i
\(315\) 10.0248 + 8.30031i 0.564836 + 0.467670i
\(316\) 14.3537 17.9989i 0.807458 1.01252i
\(317\) −7.67596 1.15696i −0.431125 0.0649816i −0.0701047 0.997540i \(-0.522333\pi\)
−0.361020 + 0.932558i \(0.617571\pi\)
\(318\) −1.29649 + 0.883933i −0.0727036 + 0.0495685i
\(319\) −0.564714 + 0.385016i −0.0316179 + 0.0215567i
\(320\) 4.39003 + 0.661691i 0.245410 + 0.0369897i
\(321\) −27.2758 + 34.2028i −1.52239 + 1.90902i
\(322\) −17.1631 4.25049i −0.956461 0.236870i
\(323\) −9.68443 12.1439i −0.538856 0.675705i
\(324\) −5.51719 9.55606i −0.306511 0.530892i
\(325\) −1.41273 + 2.44693i −0.0783644 + 0.135731i
\(326\) −3.68835 + 0.555929i −0.204279 + 0.0307901i
\(327\) −32.4989 + 30.1546i −1.79719 + 1.66755i
\(328\) 1.43747 + 0.692247i 0.0793708 + 0.0382230i
\(329\) −29.1630 2.72497i −1.60781 0.150233i
\(330\) 0.765153 0.368478i 0.0421203 0.0202841i
\(331\) −4.45358 + 11.3475i −0.244791 + 0.623717i −0.999476 0.0323701i \(-0.989694\pi\)
0.754685 + 0.656087i \(0.227790\pi\)
\(332\) −1.11730 + 14.9093i −0.0613195 + 0.818252i
\(333\) −29.1477 8.99087i −1.59728 0.492697i
\(334\) 0.132354 + 1.76614i 0.00724207 + 0.0966387i
\(335\) −1.04975 + 4.59924i −0.0573537 + 0.251283i
\(336\) 4.44041 2.45605i 0.242244 0.133988i
\(337\) 4.71483 + 20.6570i 0.256833 + 1.12526i 0.924615 + 0.380902i \(0.124387\pi\)
−0.667782 + 0.744357i \(0.732756\pi\)
\(338\) −0.739932 + 0.228239i −0.0402470 + 0.0124146i
\(339\) −9.88691 25.1914i −0.536983 1.36821i
\(340\) −5.19669 4.82183i −0.281830 0.261500i
\(341\) 2.49314 + 1.69980i 0.135011 + 0.0920491i
\(342\) 11.6878 0.632004
\(343\) −1.02008 + 18.4921i −0.0550791 + 0.998482i
\(344\) 27.2885 1.47130
\(345\) 26.4690 + 18.0462i 1.42504 + 0.971577i
\(346\) 13.3862 + 12.4206i 0.719649 + 0.667736i
\(347\) −3.03765 7.73981i −0.163070 0.415495i 0.825861 0.563874i \(-0.190690\pi\)
−0.988931 + 0.148379i \(0.952594\pi\)
\(348\) −7.79155 + 2.40337i −0.417671 + 0.128834i
\(349\) 5.37433 + 23.5465i 0.287682 + 1.26042i 0.887697 + 0.460427i \(0.152304\pi\)
−0.600016 + 0.799988i \(0.704839\pi\)
\(350\) −5.06532 + 2.80169i −0.270753 + 0.149757i
\(351\) −0.188151 + 0.824345i −0.0100428 + 0.0440003i
\(352\) −0.129309 1.72550i −0.00689217 0.0919696i
\(353\) −15.3860 4.74596i −0.818916 0.252602i −0.143134 0.989703i \(-0.545718\pi\)
−0.675782 + 0.737101i \(0.736194\pi\)
\(354\) −0.117665 + 1.57013i −0.00625381 + 0.0834513i
\(355\) −1.93849 + 4.93919i −0.102884 + 0.262145i
\(356\) −12.5403 + 6.03909i −0.664635 + 0.320071i
\(357\) 22.7626 + 2.12692i 1.20472 + 0.112568i
\(358\) −9.20480 4.43280i −0.486489 0.234281i
\(359\) −22.4181 + 20.8010i −1.18318 + 1.09783i −0.189939 + 0.981796i \(0.560829\pi\)
−0.993245 + 0.116038i \(0.962981\pi\)
\(360\) 12.8079 1.93049i 0.675038 0.101746i
\(361\) −0.736459 + 1.27558i −0.0387610 + 0.0671360i
\(362\) −0.200571 0.347399i −0.0105418 0.0182589i
\(363\) 17.1264 + 21.4758i 0.898903 + 1.12719i
\(364\) 3.59648 + 0.890679i 0.188507 + 0.0466843i
\(365\) −1.52932 + 1.91771i −0.0800484 + 0.100378i
\(366\) 4.89381 + 0.737623i 0.255803 + 0.0385562i
\(367\) −8.51201 + 5.80339i −0.444324 + 0.302935i −0.764736 0.644343i \(-0.777131\pi\)
0.320413 + 0.947278i \(0.396178\pi\)
\(368\) 5.43350 3.70449i 0.283241 0.193110i
\(369\) 1.99878 + 0.301268i 0.104053 + 0.0156834i
\(370\) −6.50977 + 8.16299i −0.338427 + 0.424374i
\(371\) 1.64063 + 1.35840i 0.0851772 + 0.0705246i
\(372\) 22.4444 + 28.1444i 1.16369 + 1.45922i
\(373\) −7.34679 12.7250i −0.380402 0.658876i 0.610717 0.791849i \(-0.290881\pi\)
−0.991120 + 0.132972i \(0.957548\pi\)
\(374\) 0.392713 0.680200i 0.0203067 0.0351723i
\(375\) 28.7223 4.32920i 1.48322 0.223559i
\(376\) −21.3680 + 19.8267i −1.10197 + 1.02248i
\(377\) −2.08406 1.00363i −0.107335 0.0516896i
\(378\) −1.20136 + 1.24798i −0.0617915 + 0.0641893i
\(379\) −13.6870 + 6.59131i −0.703054 + 0.338573i −0.751023 0.660276i \(-0.770439\pi\)
0.0479692 + 0.998849i \(0.484725\pi\)
\(380\) −3.41370 + 8.69797i −0.175119 + 0.446197i
\(381\) −0.564169 + 7.52832i −0.0289033 + 0.385687i
\(382\) −14.6561 4.52082i −0.749874 0.231305i
\(383\) −2.75634 36.7808i −0.140842 1.87941i −0.404140 0.914697i \(-0.632429\pi\)
0.263298 0.964715i \(-0.415190\pi\)
\(384\) 5.25439 23.0210i 0.268137 1.17479i
\(385\) −0.768450 0.859323i −0.0391638 0.0437952i
\(386\) −3.25800 14.2742i −0.165828 0.726539i
\(387\) 33.0370 10.1906i 1.67936 0.518015i
\(388\) −5.43484 13.8477i −0.275912 0.703012i
\(389\) 2.21637 + 2.05649i 0.112374 + 0.104268i 0.734359 0.678761i \(-0.237483\pi\)
−0.621985 + 0.783029i \(0.713673\pi\)
\(390\) 2.37477 + 1.61909i 0.120251 + 0.0819858i
\(391\) 29.6278 1.49834
\(392\) 13.0416 + 13.0243i 0.658698 + 0.657827i
\(393\) 17.3682 0.876111
\(394\) 2.52208 + 1.71952i 0.127061 + 0.0866284i
\(395\) −17.7704 16.4885i −0.894126 0.829628i
\(396\) −0.504302 1.28494i −0.0253421 0.0645707i
\(397\) −6.37958 + 1.96784i −0.320182 + 0.0987631i −0.450680 0.892685i \(-0.648819\pi\)
0.130498 + 0.991449i \(0.458342\pi\)
\(398\) −3.74449 16.4057i −0.187694 0.822343i
\(399\) −8.35149 28.9526i −0.418098 1.44945i
\(400\) 0.479061 2.09890i 0.0239531 0.104945i
\(401\) 0.929680 + 12.4057i 0.0464260 + 0.619512i 0.971088 + 0.238723i \(0.0767287\pi\)
−0.924662 + 0.380789i \(0.875652\pi\)
\(402\) −5.95836 1.83791i −0.297176 0.0916667i
\(403\) −0.763158 + 10.1836i −0.0380156 + 0.507283i
\(404\) 3.81964 9.73229i 0.190034 0.484200i
\(405\) −10.4685 + 5.04139i −0.520186 + 0.250508i
\(406\) −2.59715 3.96384i −0.128894 0.196722i
\(407\) 2.43421 + 1.17225i 0.120659 + 0.0581064i
\(408\) 16.6784 15.4753i 0.825702 0.766140i
\(409\) 3.67804 0.554376i 0.181868 0.0274121i −0.0574769 0.998347i \(-0.518306\pi\)
0.239345 + 0.970935i \(0.423067\pi\)
\(410\) 0.345947 0.599198i 0.0170851 0.0295923i
\(411\) −20.6339 35.7389i −1.01779 1.76287i
\(412\) −7.16658 8.98661i −0.353072 0.442738i
\(413\) 2.09210 0.437242i 0.102946 0.0215152i
\(414\) −13.9001 + 17.4301i −0.683150 + 0.856644i
\(415\) 15.5676 + 2.34644i 0.764185 + 0.115182i
\(416\) 4.83854 3.29886i 0.237229 0.161740i
\(417\) 13.8221 9.42373i 0.676870 0.461482i
\(418\) −1.02368 0.154294i −0.0500696 0.00754678i
\(419\) 2.71912 3.40967i 0.132838 0.166573i −0.710964 0.703229i \(-0.751741\pi\)
0.843802 + 0.536655i \(0.180312\pi\)
\(420\) −5.73851 12.4984i −0.280011 0.609857i
\(421\) −18.8391 23.6234i −0.918159 1.15134i −0.988104 0.153784i \(-0.950854\pi\)
0.0699452 0.997551i \(-0.477718\pi\)
\(422\) −3.92124 6.79179i −0.190883 0.330619i
\(423\) −18.4653 + 31.9828i −0.897814 + 1.55506i
\(424\) 2.09610 0.315936i 0.101796 0.0153432i
\(425\) 7.11017 6.59728i 0.344894 0.320015i
\(426\) −6.31866 3.04291i −0.306140 0.147429i
\(427\) −0.879081 6.66025i −0.0425417 0.322312i
\(428\) 21.9285 10.5602i 1.05995 0.510446i
\(429\) 0.271723 0.692338i 0.0131189 0.0334264i
\(430\) 0.884357 11.8009i 0.0426475 0.569091i
\(431\) 22.2170 + 6.85303i 1.07015 + 0.330099i 0.779289 0.626665i \(-0.215581\pi\)
0.290865 + 0.956764i \(0.406057\pi\)
\(432\) −0.0481462 0.642466i −0.00231644 0.0309107i
\(433\) −8.30554 + 36.3890i −0.399139 + 1.74874i 0.231661 + 0.972797i \(0.425584\pi\)
−0.630800 + 0.775945i \(0.717273\pi\)
\(434\) −12.1011 + 17.0669i −0.580872 + 0.819237i
\(435\) 1.91055 + 8.37068i 0.0916040 + 0.401343i
\(436\) 23.5693 7.27018i 1.12877 0.348178i
\(437\) −14.2670 36.3517i −0.682482 1.73894i
\(438\) −2.37659 2.20515i −0.113558 0.105366i
\(439\) −26.0072 17.7314i −1.24125 0.846273i −0.248760 0.968565i \(-0.580023\pi\)
−0.992494 + 0.122293i \(0.960975\pi\)
\(440\) −1.14727 −0.0546938
\(441\) 20.6526 + 10.8977i 0.983456 + 0.518939i
\(442\) 2.65817 0.126436
\(443\) −6.34046 4.32285i −0.301244 0.205385i 0.403258 0.915086i \(-0.367878\pi\)
−0.704503 + 0.709701i \(0.748830\pi\)
\(444\) 23.6276 + 21.9232i 1.12131 + 1.04043i
\(445\) 5.35458 + 13.6432i 0.253831 + 0.646751i
\(446\) 6.26526 1.93258i 0.296669 0.0915102i
\(447\) −7.99889 35.0454i −0.378334 1.65759i
\(448\) 7.95280 0.449260i 0.375735 0.0212255i
\(449\) −2.02749 + 8.88304i −0.0956834 + 0.419216i −0.999970 0.00770896i \(-0.997546\pi\)
0.904287 + 0.426925i \(0.140403\pi\)
\(450\) 0.545418 + 7.27809i 0.0257112 + 0.343093i
\(451\) −0.171086 0.0527731i −0.00805614 0.00248499i
\(452\) −1.12514 + 15.0140i −0.0529222 + 0.706198i
\(453\) 4.03213 10.2737i 0.189446 0.482700i
\(454\) 13.6773 6.58663i 0.641906 0.309126i
\(455\) 1.21827 3.70642i 0.0571135 0.173760i
\(456\) −27.0186 13.0115i −1.26526 0.609319i
\(457\) −19.3256 + 17.9316i −0.904014 + 0.838803i −0.987486 0.157707i \(-0.949590\pi\)
0.0834715 + 0.996510i \(0.473399\pi\)
\(458\) 7.92423 1.19439i 0.370275 0.0558100i
\(459\) 1.45132 2.51375i 0.0677416 0.117332i
\(460\) −8.91151 15.4352i −0.415501 0.719669i
\(461\) 7.24881 + 9.08973i 0.337611 + 0.423351i 0.921437 0.388528i \(-0.127016\pi\)
−0.583826 + 0.811879i \(0.698445\pi\)
\(462\) 1.20854 0.927980i 0.0562263 0.0431736i
\(463\) 4.06554 5.09802i 0.188942 0.236925i −0.678334 0.734754i \(-0.737298\pi\)
0.867275 + 0.497829i \(0.165869\pi\)
\(464\) 1.74282 + 0.262688i 0.0809084 + 0.0121950i
\(465\) 31.3193 21.3531i 1.45240 0.990228i
\(466\) 12.7539 8.69547i 0.590813 0.402810i
\(467\) 1.48148 + 0.223297i 0.0685546 + 0.0103329i 0.183230 0.983070i \(-0.441345\pi\)
−0.114675 + 0.993403i \(0.536583\pi\)
\(468\) 2.91272 3.65244i 0.134641 0.168834i
\(469\) −0.155468 + 8.46264i −0.00717884 + 0.390769i
\(470\) 7.88155 + 9.88315i 0.363549 + 0.455876i
\(471\) −14.0046 24.2567i −0.645298 1.11769i
\(472\) 1.06352 1.84208i 0.0489526 0.0847884i
\(473\) −3.02807 + 0.456408i −0.139231 + 0.0209857i
\(474\) 23.4881 21.7937i 1.07884 1.00102i
\(475\) −11.5183 5.54694i −0.528498 0.254511i
\(476\) −10.8964 6.56083i −0.499438 0.300715i
\(477\) 2.41967 1.16525i 0.110789 0.0533532i
\(478\) 3.09424 7.88400i 0.141527 0.360606i
\(479\) 0.0660881 0.881884i 0.00301964 0.0402943i −0.995490 0.0948620i \(-0.969759\pi\)
0.998510 + 0.0545677i \(0.0173781\pi\)
\(480\) −20.7711 6.40705i −0.948069 0.292440i
\(481\) 0.683315 + 9.11820i 0.0311565 + 0.415754i
\(482\) −1.51473 + 6.63648i −0.0689942 + 0.302284i
\(483\) 53.1095 + 21.9781i 2.41657 + 1.00004i
\(484\) −3.40061 14.8991i −0.154573 0.677230i
\(485\) −14.9686 + 4.61719i −0.679688 + 0.209656i
\(486\) −6.32841 16.1245i −0.287062 0.731423i
\(487\) −21.1892 19.6607i −0.960176 0.890913i 0.0339193 0.999425i \(-0.489201\pi\)
−0.994095 + 0.108512i \(0.965392\pi\)
\(488\) −5.52404 3.76623i −0.250061 0.170489i
\(489\) 12.1251 0.548318
\(490\) 6.05500 5.21773i 0.273537 0.235713i
\(491\) −17.5263 −0.790950 −0.395475 0.918477i \(-0.629420\pi\)
−0.395475 + 0.918477i \(0.629420\pi\)
\(492\) −1.76479 1.20321i −0.0795630 0.0542451i
\(493\) 5.82090 + 5.40101i 0.262160 + 0.243249i
\(494\) −1.28002 3.26144i −0.0575908 0.146739i
\(495\) −1.38894 + 0.428432i −0.0624284 + 0.0192566i
\(496\) −1.73149 7.58615i −0.0777461 0.340628i
\(497\) −1.59153 + 9.38590i −0.0713900 + 0.421015i
\(498\) −4.63043 + 20.2873i −0.207495 + 0.909094i
\(499\) −1.99699 26.6480i −0.0893976 1.19293i −0.843852 0.536576i \(-0.819717\pi\)
0.754454 0.656353i \(-0.227902\pi\)
\(500\) −15.4423 4.76331i −0.690600 0.213022i
\(501\) 0.430242 5.74118i 0.0192218 0.256497i
\(502\) 1.12587 2.86866i 0.0502498 0.128035i
\(503\) 0.164815 0.0793705i 0.00734872 0.00353896i −0.430206 0.902731i \(-0.641559\pi\)
0.437554 + 0.899192i \(0.355845\pi\)
\(504\) 21.7852 8.09149i 0.970389 0.360424i
\(505\) −9.91888 4.77668i −0.441384 0.212560i
\(506\) 1.44754 1.34312i 0.0643508 0.0597088i
\(507\) 2.48901 0.375158i 0.110541 0.0166614i
\(508\) 2.10007 3.63743i 0.0931755 0.161385i
\(509\) 5.22003 + 9.04135i 0.231374 + 0.400751i 0.958213 0.286057i \(-0.0923447\pi\)
−0.726839 + 0.686808i \(0.759011\pi\)
\(510\) −6.15177 7.71408i −0.272405 0.341585i
\(511\) −1.98196 + 3.92928i −0.0876768 + 0.173821i
\(512\) −5.28385 + 6.62573i −0.233515 + 0.292819i
\(513\) −3.78311 0.570212i −0.167028 0.0251755i
\(514\) 12.7429 8.68795i 0.562064 0.383209i
\(515\) −10.0004 + 6.81815i −0.440670 + 0.300443i
\(516\) −36.1245 5.44490i −1.59029 0.239698i
\(517\) 2.03950 2.55745i 0.0896970 0.112476i
\(518\) −8.43649 + 16.7255i −0.370678 + 0.734877i
\(519\) −37.0109 46.4102i −1.62460 2.03718i
\(520\) −1.94139 3.36258i −0.0851354 0.147459i
\(521\) −12.4775 + 21.6116i −0.546648 + 0.946823i 0.451853 + 0.892093i \(0.350763\pi\)
−0.998501 + 0.0547303i \(0.982570\pi\)
\(522\) −5.90835 + 0.890540i −0.258601 + 0.0389779i
\(523\) 6.19413 5.74731i 0.270850 0.251313i −0.533040 0.846090i \(-0.678950\pi\)
0.803890 + 0.594778i \(0.202760\pi\)
\(524\) −8.70593 4.19255i −0.380320 0.183153i
\(525\) 17.6393 6.55163i 0.769843 0.285937i
\(526\) 9.68203 4.66262i 0.422156 0.203300i
\(527\) 12.8077 32.6336i 0.557914 1.42154i
\(528\) −0.0423499 + 0.565121i −0.00184304 + 0.0245937i
\(529\) 49.2008 + 15.1764i 2.13916 + 0.659845i
\(530\) −0.0686970 0.916697i −0.00298401 0.0398188i
\(531\) 0.599658 2.62728i 0.0260230 0.114014i
\(532\) −2.80271 + 16.5287i −0.121513 + 0.716609i
\(533\) −0.134834 0.590747i −0.00584031 0.0255881i
\(534\) −18.5114 + 5.71002i −0.801069 + 0.247097i
\(535\) −9.36322 23.8571i −0.404807 1.03143i
\(536\) 6.17482 + 5.72939i 0.266711 + 0.247472i
\(537\) 27.4402 + 18.7084i 1.18413 + 0.807327i
\(538\) −12.1646 −0.524455
\(539\) −1.66499 1.22712i −0.0717162 0.0528557i
\(540\) −1.74612 −0.0751410
\(541\) 18.8446 + 12.8480i 0.810191 + 0.552379i 0.896063 0.443928i \(-0.146415\pi\)
−0.0858720 + 0.996306i \(0.527368\pi\)
\(542\) 7.40245 + 6.86847i 0.317962 + 0.295026i
\(543\) 0.476402 + 1.21385i 0.0204444 + 0.0520914i
\(544\) −19.2100 + 5.92551i −0.823623 + 0.254054i
\(545\) −5.77940 25.3212i −0.247562 1.08464i
\(546\) 4.76493 + 1.97185i 0.203920 + 0.0843875i
\(547\) −5.23110 + 22.9189i −0.223666 + 0.979943i 0.731027 + 0.682349i \(0.239041\pi\)
−0.954692 + 0.297594i \(0.903816\pi\)
\(548\) 1.71576 + 22.8952i 0.0732935 + 0.978034i
\(549\) −8.09415 2.49671i −0.345450 0.106557i
\(550\) 0.0483100 0.644652i 0.00205994 0.0274880i
\(551\) 3.82375 9.74275i 0.162897 0.415055i
\(552\) 51.5368 24.8188i 2.19355 1.05636i
\(553\) −37.2610 22.4352i −1.58450 0.954040i
\(554\) −7.32247 3.52632i −0.311102 0.149819i
\(555\) 24.8798 23.0851i 1.05609 0.979908i
\(556\) −9.20321 + 1.38716i −0.390303 + 0.0588287i
\(557\) −6.55900 + 11.3605i −0.277914 + 0.481360i −0.970866 0.239623i \(-0.922976\pi\)
0.692952 + 0.720983i \(0.256310\pi\)
\(558\) 13.1896 + 22.8451i 0.558361 + 0.967110i
\(559\) −6.46175 8.10278i −0.273303 0.342711i
\(560\) −0.0546038 + 2.97227i −0.00230743 + 0.125601i
\(561\) −1.59189 + 1.99616i −0.0672094 + 0.0842780i
\(562\) 2.02419 + 0.305098i 0.0853855 + 0.0128698i
\(563\) 6.78696 4.62727i 0.286036 0.195016i −0.411799 0.911275i \(-0.635099\pi\)
0.697835 + 0.716259i \(0.254147\pi\)
\(564\) 32.2430 21.9829i 1.35768 0.925648i
\(565\) 15.6770 + 2.36292i 0.659535 + 0.0994089i
\(566\) −12.3361 + 15.4690i −0.518526 + 0.650211i
\(567\) −16.5348 + 12.6963i −0.694396 + 0.533194i
\(568\) 5.90705 + 7.40721i 0.247854 + 0.310800i
\(569\) −9.87349 17.1014i −0.413918 0.716928i 0.581396 0.813621i \(-0.302507\pi\)
−0.995314 + 0.0966932i \(0.969173\pi\)
\(570\) −6.50243 + 11.2625i −0.272357 + 0.471736i
\(571\) 1.88683 0.284394i 0.0789615 0.0119015i −0.109443 0.993993i \(-0.534907\pi\)
0.188404 + 0.982092i \(0.439669\pi\)
\(572\) −0.303327 + 0.281447i −0.0126828 + 0.0117679i
\(573\) 44.9203 + 21.6325i 1.87657 + 0.903709i
\(574\) 0.387631 1.17931i 0.0161794 0.0492235i
\(575\) 21.9707 10.5805i 0.916242 0.441239i
\(576\) 3.66925 9.34908i 0.152885 0.389545i
\(577\) −2.06617 + 27.5711i −0.0860156 + 1.14780i 0.772501 + 0.635013i \(0.219005\pi\)
−0.858517 + 0.512786i \(0.828614\pi\)
\(578\) 3.85914 + 1.19039i 0.160519 + 0.0495135i
\(579\) 3.55674 + 47.4614i 0.147813 + 1.97243i
\(580\) 1.06294 4.65705i 0.0441362 0.193373i
\(581\) 28.2017 1.59314i 1.17000 0.0660944i
\(582\) −4.60720 20.1855i −0.190975 0.836715i
\(583\) −0.227309 + 0.0701157i −0.00941419 + 0.00290389i
\(584\) 1.60009 + 4.07696i 0.0662122 + 0.168706i
\(585\) −3.60606 3.34593i −0.149092 0.138337i
\(586\) −4.50719 3.07295i −0.186190 0.126942i
\(587\) 42.6398 1.75993 0.879967 0.475034i \(-0.157564\pi\)
0.879967 + 0.475034i \(0.157564\pi\)
\(588\) −14.6657 19.8437i −0.604801 0.818342i
\(589\) −46.2071 −1.90393
\(590\) −0.762139 0.519618i −0.0313768 0.0213923i
\(591\) −7.27385 6.74915i −0.299206 0.277623i
\(592\) −2.54538 6.48553i −0.104615 0.266554i
\(593\) 20.8771 6.43974i 0.857320 0.264448i 0.165226 0.986256i \(-0.447165\pi\)
0.692094 + 0.721807i \(0.256688\pi\)
\(594\) −0.0430485 0.188608i −0.00176630 0.00773868i
\(595\) −7.74669 + 10.9256i −0.317583 + 0.447906i
\(596\) −4.45020 + 19.4976i −0.182287 + 0.798653i
\(597\) 4.08784 + 54.5485i 0.167304 + 2.23252i
\(598\) 6.38610 + 1.96985i 0.261147 + 0.0805532i
\(599\) 2.58698 34.5209i 0.105701 1.41049i −0.652166 0.758077i \(-0.726139\pi\)
0.757867 0.652409i \(-0.226242\pi\)
\(600\) 6.84152 17.4319i 0.279304 0.711655i
\(601\) −11.4013 + 5.49058i −0.465069 + 0.223965i −0.651718 0.758461i \(-0.725951\pi\)
0.186649 + 0.982427i \(0.440237\pi\)
\(602\) −2.77835 21.0498i −0.113237 0.857926i
\(603\) 9.61513 + 4.63040i 0.391559 + 0.188565i
\(604\) −4.50112 + 4.17643i −0.183148 + 0.169936i
\(605\) −15.9124 + 2.39841i −0.646933 + 0.0975094i
\(606\) 7.27567 12.6018i 0.295554 0.511914i
\(607\) 11.0497 + 19.1386i 0.448493 + 0.776813i 0.998288 0.0584868i \(-0.0186276\pi\)
−0.549795 + 0.835300i \(0.685294\pi\)
\(608\) 16.5207 + 20.7163i 0.670003 + 0.840157i
\(609\) 6.42781 + 13.9996i 0.260468 + 0.567293i
\(610\) −1.80773 + 2.26682i −0.0731927 + 0.0917807i
\(611\) 10.9469 + 1.64999i 0.442866 + 0.0667513i
\(612\) −13.2504 + 9.03400i −0.535617 + 0.365178i
\(613\) −32.2366 + 21.9785i −1.30202 + 0.887705i −0.997890 0.0649248i \(-0.979319\pi\)
−0.304133 + 0.952629i \(0.598367\pi\)
\(614\) 1.89383 + 0.285449i 0.0764288 + 0.0115198i
\(615\) −1.40232 + 1.75845i −0.0565468 + 0.0709075i
\(616\) −2.01487 + 0.421100i −0.0811814 + 0.0169666i
\(617\) 28.8868 + 36.2229i 1.16294 + 1.45828i 0.863631 + 0.504125i \(0.168185\pi\)
0.299310 + 0.954156i \(0.403244\pi\)
\(618\) −7.99891 13.8545i −0.321764 0.557311i
\(619\) −0.741136 + 1.28368i −0.0297888 + 0.0515956i −0.880535 0.473980i \(-0.842817\pi\)
0.850747 + 0.525576i \(0.176150\pi\)
\(620\) −20.8535 + 3.14315i −0.837495 + 0.126232i
\(621\) 5.34953 4.96363i 0.214669 0.199184i
\(622\) −1.25656 0.605130i −0.0503836 0.0242635i
\(623\) 14.4116 + 21.9953i 0.577388 + 0.881225i
\(624\) −1.72800 + 0.832162i −0.0691755 + 0.0333131i
\(625\) −1.05561 + 2.68966i −0.0422245 + 0.107586i
\(626\) −0.470697 + 6.28102i −0.0188129 + 0.251040i
\(627\) 3.21574 + 0.991925i 0.128424 + 0.0396137i
\(628\) 1.16452 + 15.5394i 0.0464693 + 0.620090i
\(629\) 6.98475 30.6022i 0.278500 1.22019i
\(630\) −2.79316 9.68322i −0.111282 0.385789i
\(631\) −6.43371 28.1879i −0.256122 1.12214i −0.925358 0.379094i \(-0.876236\pi\)
0.669236 0.743050i \(-0.266621\pi\)
\(632\) −41.3621 + 12.7585i −1.64530 + 0.507506i
\(633\) 9.31384 + 23.7313i 0.370192 + 0.943234i
\(634\) 4.40629 + 4.08844i 0.174996 + 0.162373i
\(635\) −3.65424 2.49142i −0.145014 0.0988691i
\(636\) −2.83786 −0.112528
\(637\) 0.779147 6.95650i 0.0308709 0.275627i
\(638\) 0.529238 0.0209528
\(639\) 9.91752 + 6.76165i 0.392331 + 0.267487i
\(640\) 10.1406 + 9.40912i 0.400843 + 0.371928i
\(641\) 3.45272 + 8.79738i 0.136374 + 0.347476i 0.982704 0.185184i \(-0.0592880\pi\)
−0.846330 + 0.532659i \(0.821193\pi\)
\(642\) 32.3698 9.98478i 1.27754 0.394068i
\(643\) −6.35211 27.8304i −0.250503 1.09752i −0.931070 0.364839i \(-0.881124\pi\)
0.680568 0.732685i \(-0.261733\pi\)
\(644\) −21.3161 23.8369i −0.839973 0.939304i
\(645\) −8.56011 + 37.5043i −0.337054 + 1.47673i
\(646\) 0.898811 + 11.9938i 0.0353633 + 0.471890i
\(647\) 16.6820 + 5.14573i 0.655839 + 0.202300i 0.604776 0.796396i \(-0.293263\pi\)
0.0510634 + 0.998695i \(0.483739\pi\)
\(648\) −1.55042 + 20.6889i −0.0609061 + 0.812735i
\(649\) −0.0872045 + 0.222193i −0.00342308 + 0.00872185i
\(650\) 1.97119 0.949275i 0.0773164 0.0372336i
\(651\) 47.1665 48.9968i 1.84860 1.92033i
\(652\) −6.07780 2.92691i −0.238025 0.114627i
\(653\) −17.8602 + 16.5719i −0.698925 + 0.648508i −0.947371 0.320138i \(-0.896271\pi\)
0.248445 + 0.968646i \(0.420080\pi\)
\(654\) 33.9456 5.11648i 1.32738 0.200070i
\(655\) −5.08749 + 8.81179i −0.198785 + 0.344305i
\(656\) 0.230849 + 0.399843i 0.00901315 + 0.0156112i
\(657\) 3.45964 + 4.33826i 0.134974 + 0.169252i
\(658\) 17.4694 + 14.4642i 0.681029 + 0.563875i
\(659\) 20.3800 25.5557i 0.793892 0.995509i −0.205964 0.978560i \(-0.566033\pi\)
0.999856 0.0169498i \(-0.00539555\pi\)
\(660\) 1.51875 + 0.228915i 0.0591173 + 0.00891050i
\(661\) −10.1093 + 6.89239i −0.393206 + 0.268083i −0.743743 0.668466i \(-0.766951\pi\)
0.350537 + 0.936549i \(0.385999\pi\)
\(662\) 7.79910 5.31734i 0.303121 0.206664i
\(663\) −8.54440 1.28786i −0.331837 0.0500164i
\(664\) 17.5270 21.9781i 0.680178 0.852916i
\(665\) 17.1355 + 4.24365i 0.664485 + 0.164562i
\(666\) 14.7264 + 18.4664i 0.570638 + 0.715557i
\(667\) 9.98193 + 17.2892i 0.386502 + 0.669441i
\(668\) −1.60154 + 2.77394i −0.0619653 + 0.107327i
\(669\) −21.0753 + 3.17659i −0.814819 + 0.122814i
\(670\) 2.67779 2.48462i 0.103452 0.0959894i
\(671\) 0.675965 + 0.325528i 0.0260954 + 0.0125669i
\(672\) −38.8307 3.62831i −1.49793 0.139965i
\(673\) 17.4036 8.38111i 0.670858 0.323068i −0.0672642 0.997735i \(-0.521427\pi\)
0.738122 + 0.674667i \(0.235713\pi\)
\(674\) 5.99407 15.2726i 0.230883 0.588280i
\(675\) 0.178535 2.38238i 0.00687180 0.0916978i
\(676\) −1.33819 0.412777i −0.0514689 0.0158761i
\(677\) −1.44334 19.2601i −0.0554722 0.740225i −0.953712 0.300720i \(-0.902773\pi\)
0.898240 0.439505i \(-0.144846\pi\)
\(678\) −4.66295 + 20.4297i −0.179080 + 0.784599i
\(679\) −24.5936 + 13.6030i −0.943816 + 0.522036i
\(680\) 2.96598 + 12.9948i 0.113740 + 0.498328i
\(681\) −47.1553 + 14.5455i −1.80699 + 0.557384i
\(682\) −0.853627 2.17501i −0.0326871 0.0832853i
\(683\) 21.2999 + 19.7634i 0.815019 + 0.756227i 0.972899 0.231231i \(-0.0742755\pi\)
−0.157880 + 0.987458i \(0.550466\pi\)
\(684\) 17.4649 + 11.9073i 0.667786 + 0.455289i
\(685\) 24.1762 0.923727
\(686\) 8.71886 11.3860i 0.332888 0.434721i
\(687\) −26.0502 −0.993879
\(688\) 6.52464 + 4.44842i 0.248750 + 0.169595i
\(689\) −0.590155 0.547583i −0.0224831 0.0208613i
\(690\) −9.06271 23.0914i −0.345011 0.879075i
\(691\) 32.9059 10.1501i 1.25180 0.386129i 0.403175 0.915123i \(-0.367907\pi\)
0.848626 + 0.528994i \(0.177431\pi\)
\(692\) 7.34888 + 32.1975i 0.279362 + 1.22397i
\(693\) −2.28206 + 1.26223i −0.0866881 + 0.0479483i
\(694\) −1.43265 + 6.27683i −0.0543825 + 0.238265i
\(695\) 0.732388 + 9.77304i 0.0277811 + 0.370712i
\(696\) 14.6497 + 4.51883i 0.555295 + 0.171286i
\(697\) −0.155446 + 2.07428i −0.00588794 + 0.0785690i
\(698\) 6.83251 17.4090i 0.258614 0.658939i
\(699\) −45.2089 + 21.7715i −1.70996 + 0.823473i
\(700\) −10.4233 0.973948i −0.393965 0.0368118i
\(701\) 17.9105 + 8.62523i 0.676469 + 0.325770i 0.740383 0.672185i \(-0.234644\pi\)
−0.0639140 + 0.997955i \(0.520358\pi\)
\(702\) 0.479954 0.445332i 0.0181147 0.0168080i
\(703\) −40.9107 + 6.16630i −1.54298 + 0.232566i
\(704\) −0.444791 + 0.770400i −0.0167637 + 0.0290355i
\(705\) −20.5461 35.5868i −0.773810 1.34028i
\(706\) 7.77357 + 9.74775i 0.292562 + 0.366861i
\(707\) −19.1731 4.74829i −0.721080 0.178578i
\(708\) −1.77544 + 2.22633i −0.0667252 + 0.0836707i
\(709\) 45.0409 + 6.78882i 1.69154 + 0.254959i 0.922990 0.384824i \(-0.125738\pi\)
0.768555 + 0.639784i \(0.220976\pi\)
\(710\) 3.39468 2.31445i 0.127400 0.0868599i
\(711\) −45.3107 + 30.8923i −1.69928 + 1.15855i
\(712\) 25.8776 + 3.90043i 0.969806 + 0.146175i
\(713\) 54.9531 68.9090i 2.05801 2.58066i
\(714\) −13.6354 11.2897i −0.510291 0.422508i
\(715\) 0.271666 + 0.340658i 0.0101597 + 0.0127399i
\(716\) −9.23849 16.0015i −0.345259 0.598005i
\(717\) −13.7658 + 23.8431i −0.514094 + 0.890437i
\(718\) 23.4161 3.52941i 0.873882 0.131716i
\(719\) 3.69165 3.42535i 0.137675 0.127744i −0.608329 0.793685i \(-0.708160\pi\)
0.746005 + 0.665941i \(0.231970\pi\)
\(720\) 3.37705 + 1.62630i 0.125855 + 0.0606087i
\(721\) −15.0604 + 15.6449i −0.560880 + 0.582645i
\(722\) 1.02758 0.494857i 0.0382426 0.0184167i
\(723\) 8.08427 20.5984i 0.300657 0.766062i
\(724\) 0.0542151 0.723450i 0.00201489 0.0268868i
\(725\) 6.24532 + 1.92643i 0.231945 + 0.0715457i
\(726\) −1.58950 21.2104i −0.0589919 0.787192i
\(727\) 2.31268 10.1325i 0.0857724 0.375794i −0.913764 0.406246i \(-0.866838\pi\)
0.999536 + 0.0304523i \(0.00969478\pi\)
\(728\) −4.64375 5.19290i −0.172109 0.192462i
\(729\) 7.26978 + 31.8510i 0.269251 + 1.17967i
\(730\) 1.81494 0.559834i 0.0671739 0.0207204i
\(731\) 12.9979 + 33.1182i 0.480746 + 1.22492i
\(732\) 6.56124 + 6.08794i 0.242510 + 0.225017i
\(733\) −0.00459242 0.00313106i −0.000169625 0.000115648i 0.563235 0.826297i \(-0.309556\pi\)
−0.563405 + 0.826181i \(0.690509\pi\)
\(734\) 7.97728 0.294447
\(735\) −21.9911 + 13.8382i −0.811154 + 0.510431i
\(736\) −50.5421 −1.86300
\(737\) −0.781013 0.532486i −0.0287690 0.0196144i
\(738\) −1.14738 1.06461i −0.0422356 0.0391889i
\(739\) 13.4264 + 34.2098i 0.493896 + 1.25843i 0.932963 + 0.359973i \(0.117214\pi\)
−0.439066 + 0.898455i \(0.644691\pi\)
\(740\) −18.0437 + 5.56575i −0.663301 + 0.204601i
\(741\) 2.53434 + 11.1037i 0.0931014 + 0.407904i
\(742\) −0.457118 1.58472i −0.0167813 0.0581769i
\(743\) −4.19621 + 18.3848i −0.153944 + 0.674473i 0.837772 + 0.546021i \(0.183858\pi\)
−0.991716 + 0.128452i \(0.958999\pi\)
\(744\) −5.05799 67.4942i −0.185435 2.47446i
\(745\) 20.1234 + 6.20724i 0.737263 + 0.227416i
\(746\) −0.850259 + 11.3459i −0.0311302 + 0.415404i
\(747\) 13.0116 33.1531i 0.476071 1.21301i
\(748\) 1.27980 0.616319i 0.0467941 0.0225348i
\(749\) −25.2007 38.4619i −0.920813 1.40537i
\(750\) −20.2645 9.75887i −0.739955 0.356343i
\(751\) 18.8260 17.4679i 0.686969 0.637414i −0.257399 0.966305i \(-0.582865\pi\)
0.944368 + 0.328891i \(0.106675\pi\)
\(752\) −8.34109 + 1.25722i −0.304168 + 0.0458460i
\(753\) −5.00881 + 8.67552i −0.182531 + 0.316153i
\(754\) 0.895569 + 1.55117i 0.0326147 + 0.0564903i
\(755\) 4.03128 + 5.05507i 0.146713 + 0.183973i
\(756\) −3.06660 + 0.640907i −0.111531 + 0.0233095i
\(757\) 14.2044 17.8117i 0.516266 0.647377i −0.453545 0.891233i \(-0.649841\pi\)
0.969812 + 0.243856i \(0.0784124\pi\)
\(758\) 11.6318 + 1.75322i 0.422488 + 0.0636798i
\(759\) −5.30367 + 3.61598i −0.192511 + 0.131252i
\(760\) 14.5157 9.89662i 0.526539 0.358988i
\(761\) −45.6833 6.88565i −1.65602 0.249605i −0.746536 0.665345i \(-0.768284\pi\)
−0.909483 + 0.415741i \(0.863522\pi\)
\(762\) 3.64478 4.57041i 0.132036 0.165568i
\(763\) −19.4440 42.3487i −0.703922 1.53313i
\(764\) −17.2946 21.6868i −0.625698 0.784601i
\(765\) 8.44351 + 14.6246i 0.305276 + 0.528753i
\(766\) −14.2802 + 24.7341i −0.515966 + 0.893679i
\(767\) −0.798803 + 0.120400i −0.0288431 + 0.00434740i
\(768\) −24.5139 + 22.7455i −0.884568 + 0.820759i
\(769\) 10.4269 + 5.02133i 0.376003 + 0.181074i 0.612334 0.790599i \(-0.290231\pi\)
−0.236331 + 0.971673i \(0.575945\pi\)
\(770\) 0.116807 + 0.884978i 0.00420945 + 0.0318924i
\(771\) −45.1698 + 21.7526i −1.62675 + 0.783402i
\(772\) 9.67397 24.6489i 0.348174 0.887132i
\(773\) 0.682422 9.10629i 0.0245450 0.327531i −0.971392 0.237481i \(-0.923678\pi\)
0.995937 0.0900498i \(-0.0287026\pi\)
\(774\) −25.5816 7.89089i −0.919513 0.283632i
\(775\) −2.15628 28.7735i −0.0774558 1.03358i
\(776\) −6.22391 + 27.2687i −0.223425 + 0.978891i
\(777\) 35.2215 49.6749i 1.26357 1.78208i
\(778\) −0.520962 2.28248i −0.0186774 0.0818310i
\(779\) 2.61989 0.808128i 0.0938672 0.0289542i
\(780\) 1.89907 + 4.83875i 0.0679975 + 0.173255i
\(781\) −0.779363 0.723143i −0.0278878 0.0258761i
\(782\) −18.9554 12.9236i −0.677843 0.462146i
\(783\) 1.95586 0.0698967
\(784\) 0.995064 + 5.24005i 0.0355380 + 0.187145i
\(785\) 16.4089 0.585658
\(786\) −11.1119 7.57598i −0.396349 0.270226i
\(787\) −3.54578 3.29000i −0.126393 0.117276i 0.614444 0.788961i \(-0.289380\pi\)
−0.740837 + 0.671685i \(0.765571\pi\)
\(788\) 2.01687 + 5.13890i 0.0718480 + 0.183066i
\(789\) −33.3808 + 10.2966i −1.18839 + 0.366569i
\(790\) 4.17697 + 18.3005i 0.148610 + 0.651103i
\(791\) 28.3997 1.60432i 1.00978 0.0570432i
\(792\) −0.577521 + 2.53028i −0.0205213 + 0.0899098i
\(793\) 0.189753 + 2.53207i 0.00673831 + 0.0899165i
\(794\) 4.93993 + 1.52377i 0.175311 + 0.0540764i
\(795\) −0.223313 + 2.97991i −0.00792010 + 0.105686i
\(796\) 11.1185 28.3295i 0.394085 1.00411i
\(797\) 45.5070 21.9150i 1.61194 0.776270i 0.612047 0.790821i \(-0.290346\pi\)
0.999894 + 0.0145514i \(0.00463203\pi\)
\(798\) −7.28592 + 22.1664i −0.257919 + 0.784680i
\(799\) −34.2402 16.4892i −1.21133 0.583346i
\(800\) −12.1293 + 11.2543i −0.428834 + 0.397900i
\(801\) 32.7854 4.94161i 1.15842 0.174603i
\(802\) 4.81655 8.34251i 0.170078 0.294584i
\(803\) −0.245742 0.425638i −0.00867205 0.0150204i
\(804\) −7.03103 8.81663i −0.247965 0.310939i
\(805\) −26.7074 + 20.5074i −0.941313 + 0.722790i
\(806\) 4.93034 6.18244i 0.173664 0.217767i
\(807\) 39.1019 + 5.89367i 1.37645 + 0.207467i
\(808\) −16.2418 + 11.0735i −0.571385 + 0.389564i
\(809\) −27.8246 + 18.9705i −0.978262 + 0.666968i −0.943133 0.332415i \(-0.892137\pi\)
−0.0351291 + 0.999383i \(0.511184\pi\)
\(810\) 8.89665 + 1.34095i 0.312597 + 0.0471163i
\(811\) −0.718470 + 0.900933i −0.0252289 + 0.0316360i −0.794286 0.607544i \(-0.792155\pi\)
0.769057 + 0.639180i \(0.220726\pi\)
\(812\) 0.157422 8.56901i 0.00552443 0.300713i
\(813\) −20.4666 25.6643i −0.717796 0.900088i
\(814\) −1.04603 1.81178i −0.0366635 0.0635030i
\(815\) −3.55169 + 6.15171i −0.124410 + 0.215485i
\(816\) 6.51046 0.981294i 0.227912 0.0343522i
\(817\) 34.3752 31.8956i 1.20264 1.11588i
\(818\) −2.59497 1.24967i −0.0907311 0.0436938i
\(819\) −7.56120 4.55266i −0.264210 0.159083i
\(820\) 1.12739 0.542925i 0.0393703 0.0189597i
\(821\) −13.4136 + 34.1772i −0.468137 + 1.19279i 0.480660 + 0.876907i \(0.340397\pi\)
−0.948797 + 0.315886i \(0.897698\pi\)
\(822\) −2.38800 + 31.8657i −0.0832911 + 1.11144i
\(823\) −44.7202 13.7943i −1.55885 0.480841i −0.608899 0.793248i \(-0.708388\pi\)
−0.949948 + 0.312407i \(0.898865\pi\)
\(824\) 1.61504 + 21.5512i 0.0562625 + 0.750771i
\(825\) −0.467615 + 2.04876i −0.0162803 + 0.0713285i
\(826\) −1.52922 0.632831i −0.0532083 0.0220190i
\(827\) 0.844938 + 3.70191i 0.0293814 + 0.128728i 0.987492 0.157671i \(-0.0503987\pi\)
−0.958110 + 0.286400i \(0.907542\pi\)
\(828\) −38.5281 + 11.8843i −1.33894 + 0.413009i
\(829\) −9.79996 24.9699i −0.340367 0.867240i −0.993894 0.110337i \(-0.964807\pi\)
0.653528 0.756903i \(-0.273288\pi\)
\(830\) −8.93642 8.29179i −0.310188 0.287812i
\(831\) 21.8288 + 14.8826i 0.757233 + 0.516273i
\(832\) −3.01067 −0.104376
\(833\) −9.59481 + 22.0313i −0.332440 + 0.763340i
\(834\) −12.9538 −0.448552
\(835\) 2.78677 + 1.89999i 0.0964400 + 0.0657517i
\(836\) −1.37247 1.27346i −0.0474677 0.0440436i
\(837\) −3.15467 8.03797i −0.109041 0.277833i
\(838\) −3.22694 + 0.995379i −0.111473 + 0.0343848i
\(839\) −8.14995 35.7073i −0.281368 1.23275i −0.896041 0.443971i \(-0.853569\pi\)
0.614674 0.788781i \(-0.289288\pi\)
\(840\) −4.32295 + 25.4941i −0.149156 + 0.879631i
\(841\) 5.26249 23.0565i 0.181465 0.795051i
\(842\) 1.74845 + 23.3314i 0.0602556 + 0.804055i
\(843\) −6.35873 1.96141i −0.219006 0.0675545i
\(844\) 1.05993 14.1437i 0.0364842 0.486847i
\(845\) −0.538743 + 1.37269i −0.0185333 + 0.0472221i
\(846\) 25.7646 12.4076i 0.885807 0.426582i
\(847\) −27.0657 + 10.0528i −0.929987 + 0.345418i
\(848\) 0.552676 + 0.266155i 0.0189790 + 0.00913979i
\(849\) 47.1478 43.7467i 1.61811 1.50138i
\(850\) −7.42669 + 1.11939i −0.254734 + 0.0383949i
\(851\) 39.4584 68.3439i 1.35262 2.34280i
\(852\) −6.34179 10.9843i −0.217266 0.376316i
\(853\) 27.4774 + 34.4556i 0.940810 + 1.17974i 0.983547 + 0.180652i \(0.0578206\pi\)
−0.0427375 + 0.999086i \(0.513608\pi\)
\(854\) −2.34276 + 4.64458i −0.0801677 + 0.158934i
\(855\) 13.8777 17.4021i 0.474607 0.595139i
\(856\) −45.2507 6.82044i −1.54664 0.233118i
\(857\) 8.26312 5.63370i 0.282263 0.192444i −0.413910 0.910318i \(-0.635837\pi\)
0.696173 + 0.717874i \(0.254885\pi\)
\(858\) −0.475840 + 0.324422i −0.0162449 + 0.0110756i
\(859\) 41.7553 + 6.29359i 1.42467 + 0.214735i 0.815708 0.578464i \(-0.196348\pi\)
0.608963 + 0.793199i \(0.291586\pi\)
\(860\) 13.3441 16.7329i 0.455028 0.570588i
\(861\) −1.81736 + 3.60296i −0.0619356 + 0.122789i
\(862\) −11.2248 14.0755i −0.382318 0.479412i
\(863\) −15.7485 27.2772i −0.536086 0.928528i −0.999110 0.0421824i \(-0.986569\pi\)
0.463024 0.886346i \(-0.346764\pi\)
\(864\) −2.47580 + 4.28821i −0.0842285 + 0.145888i
\(865\) 34.3875 5.18308i 1.16921 0.176230i
\(866\) 21.1865 19.6582i 0.719948 0.668014i
\(867\) −11.8280 5.69608i −0.401701 0.193449i
\(868\) −35.4699 + 13.1743i −1.20393 + 0.447165i
\(869\) 4.37635 2.10754i 0.148457 0.0714934i
\(870\) 2.42893 6.18881i 0.0823484 0.209820i
\(871\) 0.239070 3.19017i 0.00810059 0.108095i
\(872\) −44.3151 13.6694i −1.50070 0.462905i
\(873\) 2.64816 + 35.3372i 0.0896266 + 1.19598i
\(874\) −6.72872 + 29.4805i −0.227602 + 0.997192i
\(875\) −5.10418 + 30.1014i −0.172553 + 1.01761i
\(876\) −1.30472 5.71635i −0.0440824 0.193137i
\(877\) 2.47519 0.763494i 0.0835811 0.0257814i −0.252683 0.967549i \(-0.581313\pi\)
0.336264 + 0.941768i \(0.390837\pi\)
\(878\) 8.90459 + 22.6885i 0.300515 + 0.765701i
\(879\) 12.9990 + 12.0614i 0.438447 + 0.406819i
\(880\) −0.274310 0.187021i −0.00924697 0.00630448i
\(881\) −19.0132 −0.640570 −0.320285 0.947321i \(-0.603779\pi\)
−0.320285 + 0.947321i \(0.603779\pi\)
\(882\) −8.45963 15.9808i −0.284851 0.538101i
\(883\) 5.50868 0.185382 0.0926909 0.995695i \(-0.470453\pi\)
0.0926909 + 0.995695i \(0.470453\pi\)
\(884\) 3.97205 + 2.70810i 0.133595 + 0.0910833i
\(885\) 2.19806 + 2.03950i 0.0738871 + 0.0685572i
\(886\) 2.17091 + 5.53139i 0.0729331 + 0.185831i
\(887\) 16.6975 5.15049i 0.560646 0.172937i −0.00146365 0.999999i \(-0.500466\pi\)
0.562110 + 0.827062i \(0.309990\pi\)
\(888\) −13.4853 59.0829i −0.452536 1.98269i
\(889\) −7.33218 3.03425i −0.245913 0.101765i
\(890\) 2.52537 11.0644i 0.0846507 0.370879i
\(891\) −0.173985 2.32167i −0.00582872 0.0777788i
\(892\) 11.3309 + 3.49513i 0.379388 + 0.117026i
\(893\) −3.74332 + 49.9511i −0.125265 + 1.67155i
\(894\) −10.1692 + 25.9106i −0.340108 + 0.866581i
\(895\) −17.5295 + 8.44176i −0.585946 + 0.282177i
\(896\) 21.2629 + 12.8026i 0.710343 + 0.427703i
\(897\) −19.5730 9.42588i −0.653525 0.314721i
\(898\) 5.17192 4.79884i 0.172589 0.160139i
\(899\) 23.3583 3.52070i 0.779044 0.117422i
\(900\) −6.59979 + 11.4312i −0.219993 + 0.381039i
\(901\) 1.38183 + 2.39341i 0.0460356 + 0.0797360i
\(902\) 0.0864388 + 0.108391i 0.00287810 + 0.00360902i
\(903\) −1.26776 + 69.0083i −0.0421883 + 2.29645i
\(904\) 17.6500 22.1325i 0.587032 0.736114i
\(905\) −0.755397 0.113858i −0.0251102 0.00378476i
\(906\) −7.06106 + 4.81415i −0.234588 + 0.159939i
\(907\) −43.6106 + 29.7332i −1.44807 + 0.987276i −0.452647 + 0.891690i \(0.649520\pi\)
−0.995421 + 0.0955860i \(0.969528\pi\)
\(908\) 27.1480 + 4.09190i 0.900938 + 0.135795i
\(909\) −15.5280 + 19.4715i −0.515030 + 0.645827i
\(910\) −2.39616 + 1.83990i −0.0794320 + 0.0609921i
\(911\) −7.16635 8.98632i −0.237432 0.297730i 0.648812 0.760948i \(-0.275266\pi\)
−0.886244 + 0.463218i \(0.846695\pi\)
\(912\) −4.33905 7.51545i −0.143680 0.248861i
\(913\) −1.57729 + 2.73194i −0.0522006 + 0.0904140i
\(914\) 20.1859 3.04254i 0.667691 0.100638i
\(915\) 6.90899 6.41060i 0.228404 0.211928i
\(916\) 13.0578 + 6.28832i 0.431443 + 0.207772i
\(917\) −5.70049 + 17.3429i −0.188247 + 0.572714i
\(918\) −2.02502 + 0.975199i −0.0668357 + 0.0321864i
\(919\) 2.17931 5.55278i 0.0718887 0.183169i −0.890413 0.455153i \(-0.849584\pi\)
0.962302 + 0.271984i \(0.0876797\pi\)
\(920\) −2.50427 + 33.4172i −0.0825634 + 1.10173i
\(921\) −5.94922 1.83509i −0.196033 0.0604683i
\(922\) −0.672762 8.97738i −0.0221562 0.295654i
\(923\) 0.800670 3.50796i 0.0263544 0.115466i
\(924\) 2.75131 0.155423i 0.0905113 0.00511306i
\(925\) −5.74892 25.1877i −0.189023 0.828166i
\(926\) −4.82482 + 1.48826i −0.158553 + 0.0489072i
\(927\) 10.0033 + 25.4879i 0.328550 + 0.837133i
\(928\) −9.92989 9.21359i −0.325965 0.302451i
\(929\) −4.60817 3.14180i −0.151189 0.103079i 0.485363 0.874313i \(-0.338688\pi\)
−0.636552 + 0.771234i \(0.719640\pi\)
\(930\) −29.3518 −0.962483
\(931\) 31.6515 + 1.16334i 1.03734 + 0.0381269i
\(932\) 27.9167 0.914442
\(933\) 3.74591 + 2.55392i 0.122636 + 0.0836115i
\(934\) −0.850425 0.789079i −0.0278268 0.0258195i
\(935\) −0.546461 1.39236i −0.0178712 0.0455350i
\(936\) −8.39340 + 2.58902i −0.274347 + 0.0846248i
\(937\) 7.82361 + 34.2775i 0.255586 + 1.11980i 0.925915 + 0.377732i \(0.123296\pi\)
−0.670328 + 0.742065i \(0.733847\pi\)
\(938\) 3.79085 5.34645i 0.123776 0.174568i
\(939\) 4.55611 19.9616i 0.148683 0.651422i
\(940\) 1.70846 + 22.7978i 0.0557237 + 0.743581i
\(941\) 4.25975 + 1.31396i 0.138864 + 0.0428338i 0.363408 0.931630i \(-0.381613\pi\)
−0.224544 + 0.974464i \(0.572089\pi\)
\(942\) −1.62078 + 21.6278i −0.0528079 + 0.704673i
\(943\) −1.91061 + 4.86814i −0.0622179 + 0.158529i
\(944\) 0.554571 0.267067i 0.0180498 0.00869231i
\(945\) 0.431675 + 3.27053i 0.0140424 + 0.106390i
\(946\) 2.13640 + 1.02883i 0.0694602 + 0.0334503i
\(947\) 34.4466 31.9618i 1.11936 1.03862i 0.120418 0.992723i \(-0.461576\pi\)
0.998946 0.0458954i \(-0.0146141\pi\)
\(948\) 57.3008 8.63671i 1.86104 0.280507i
\(949\) 0.831681 1.44051i 0.0269975 0.0467611i
\(950\) 4.94969 + 8.57312i 0.160589 + 0.278149i
\(951\) −12.1827 15.2767i −0.395052 0.495380i
\(952\) 9.97864 + 21.7333i 0.323410 + 0.704379i
\(953\) −16.0002 + 20.0636i −0.518298 + 0.649925i −0.970247 0.242119i \(-0.922158\pi\)
0.451948 + 0.892044i \(0.350729\pi\)
\(954\) −2.05635 0.309944i −0.0665767 0.0100348i
\(955\) −24.1333 + 16.4538i −0.780935 + 0.532432i
\(956\) 12.6557 8.62854i 0.409316 0.279067i
\(957\) −1.70118 0.256411i −0.0549913 0.00828861i
\(958\) −0.426958 + 0.535388i −0.0137944 + 0.0172976i
\(959\) 42.4592 8.87380i 1.37108 0.286550i
\(960\) 6.96755 + 8.73703i 0.224877 + 0.281986i
\(961\) −36.6444 63.4700i −1.18208 2.04742i
\(962\) 3.54016 6.13174i 0.114139 0.197695i
\(963\) −57.3299 + 8.64109i −1.84743 + 0.278455i
\(964\) −9.02457 + 8.37358i −0.290662 + 0.269695i
\(965\) −25.1214 12.0978i −0.808688 0.389444i
\(966\) −24.3919 37.2275i −0.784795 1.19778i
\(967\) 6.37722 3.07111i 0.205077 0.0987601i −0.328526 0.944495i \(-0.606552\pi\)
0.533603 + 0.845735i \(0.320838\pi\)
\(968\) −10.4976 + 26.7474i −0.337405 + 0.859694i
\(969\) 2.92176 38.9882i 0.0938606 1.25248i
\(970\) 11.5907 + 3.57525i 0.372154 + 0.114794i
\(971\) −2.88746 38.5305i −0.0926631 1.23650i −0.828751 0.559617i \(-0.810948\pi\)
0.736088 0.676886i \(-0.236671\pi\)
\(972\) 6.97097 30.5418i 0.223594 0.979629i
\(973\) 4.87340 + 16.8949i 0.156234 + 0.541627i
\(974\) 4.98058 + 21.8213i 0.159588 + 0.699200i
\(975\) −6.79609 + 2.09632i −0.217649 + 0.0671358i
\(976\) −0.706839 1.80100i −0.0226254 0.0576485i
\(977\) −1.01605 0.942760i −0.0325064 0.0301616i 0.663752 0.747952i \(-0.268963\pi\)
−0.696259 + 0.717791i \(0.745153\pi\)
\(978\) −7.75748 5.28896i −0.248057 0.169122i
\(979\) −2.93675 −0.0938588
\(980\) 14.3636 1.62802i 0.458829 0.0520051i
\(981\) −58.7549 −1.87590
\(982\) 11.2130 + 7.64492i 0.357822 + 0.243959i
\(983\) 31.5983 + 29.3190i 1.00783 + 0.935129i 0.997897 0.0648213i \(-0.0206477\pi\)
0.00993288 + 0.999951i \(0.496838\pi\)
\(984\) 1.46721 + 3.73838i 0.0467728 + 0.119175i
\(985\) 5.55484 1.71344i 0.176992 0.0545948i
\(986\) −1.36822 5.99455i −0.0435729 0.190905i
\(987\) −49.1457 54.9575i −1.56433 1.74932i
\(988\) 1.40999 6.17756i 0.0448577 0.196534i
\(989\) 6.68437 + 89.1967i 0.212551 + 2.83629i
\(990\) 1.07551 + 0.331749i 0.0341818 + 0.0105437i
\(991\) 3.08758 41.2009i 0.0980802 1.30879i −0.703411 0.710783i \(-0.748341\pi\)
0.801491 0.598006i \(-0.204040\pi\)
\(992\) −21.8487 + 55.6697i −0.693698 + 1.76751i
\(993\) −27.6456 + 13.3134i −0.877305 + 0.422488i
\(994\) 5.11235 5.31073i 0.162154 0.168446i
\(995\) −28.8727 13.9043i −0.915325 0.440797i
\(996\) −27.5875 + 25.5974i −0.874142 + 0.811086i
\(997\) 52.3598 7.89196i 1.65825 0.249941i 0.747910 0.663801i \(-0.231058\pi\)
0.910341 + 0.413860i \(0.135820\pi\)
\(998\) −10.3462 + 17.9201i −0.327502 + 0.567250i
\(999\) −3.86573 6.69565i −0.122306 0.211841i
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 637.2.bl.a.53.11 324
49.37 even 21 inner 637.2.bl.a.625.11 yes 324
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
637.2.bl.a.53.11 324 1.1 even 1 trivial
637.2.bl.a.625.11 yes 324 49.37 even 21 inner