Properties

Label 966.2.bf.a.11.13
Level $966$
Weight $2$
Character 966.11
Analytic conductor $7.714$
Analytic rank $0$
Dimension $1280$
CM no
Inner twists $8$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [966,2,Mod(11,966)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(966, base_ring=CyclotomicField(66))
 
chi = DirichletCharacter(H, H._module([33, 44, 27]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("966.11");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 966.bf (of order \(66\), degree \(20\), 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: \(7.71354883526\)
Analytic rank: \(0\)
Dimension: \(1280\)
Relative dimension: \(64\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 11.13
Character \(\chi\) \(=\) 966.11
Dual form 966.2.bf.a.527.13

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.458227 + 0.888835i) q^{2} +(-0.418014 - 1.68085i) q^{3} +(-0.580057 - 0.814576i) q^{4} +(-2.21751 - 2.11439i) q^{5} +(1.68555 + 0.398666i) q^{6} +(0.589589 + 2.57922i) q^{7} +(0.989821 - 0.142315i) q^{8} +(-2.65053 + 1.40524i) q^{9} +O(q^{10})\) \(q+(-0.458227 + 0.888835i) q^{2} +(-0.418014 - 1.68085i) q^{3} +(-0.580057 - 0.814576i) q^{4} +(-2.21751 - 2.11439i) q^{5} +(1.68555 + 0.398666i) q^{6} +(0.589589 + 2.57922i) q^{7} +(0.989821 - 0.142315i) q^{8} +(-2.65053 + 1.40524i) q^{9} +(2.89546 - 1.00213i) q^{10} +(0.891435 - 0.459567i) q^{11} +(-1.12671 + 1.31549i) q^{12} +(-3.75450 + 4.33292i) q^{13} +(-2.56267 - 0.657821i) q^{14} +(-2.62703 + 4.61114i) q^{15} +(-0.327068 + 0.945001i) q^{16} +(5.79660 + 0.553508i) q^{17} +(-0.0344837 - 2.99980i) q^{18} +(-0.0799066 - 0.836820i) q^{19} +(-0.436050 + 3.03279i) q^{20} +(4.08883 - 2.06916i) q^{21} +1.00292i q^{22} +(0.750107 + 4.73681i) q^{23} +(-0.652969 - 1.60425i) q^{24} +(0.208788 + 4.38300i) q^{25} +(-2.13084 - 5.32259i) q^{26} +(3.46996 + 3.86774i) q^{27} +(1.75898 - 1.97636i) q^{28} +(7.59952 - 3.47059i) q^{29} +(-2.89478 - 4.44794i) q^{30} +(-9.03944 - 3.61885i) q^{31} +(-0.690079 - 0.723734i) q^{32} +(-1.14510 - 1.30627i) q^{33} +(-3.14813 + 4.89859i) q^{34} +(4.14606 - 6.96606i) q^{35} +(2.68213 + 1.34394i) q^{36} +(5.19346 - 1.25992i) q^{37} +(0.780410 + 0.312429i) q^{38} +(8.85243 + 4.49953i) q^{39} +(-2.49584 - 1.77728i) q^{40} +(-1.62379 - 5.53012i) q^{41} +(-0.0344681 + 4.58245i) q^{42} +(10.0456 + 1.44434i) q^{43} +(-0.891435 - 0.459567i) q^{44} +(8.84879 + 2.48812i) q^{45} +(-4.55396 - 1.50381i) q^{46} +(-0.000940291 + 0.000542877i) q^{47} +(1.72513 + 0.154729i) q^{48} +(-6.30477 + 3.04136i) q^{49} +(-3.99144 - 1.82283i) q^{50} +(-1.49269 - 9.97460i) q^{51} +(5.70732 + 0.544983i) q^{52} +(0.337680 - 0.0650824i) q^{53} +(-5.02781 + 1.31192i) q^{54} +(-2.94846 - 0.865747i) q^{55} +(0.950649 + 2.46906i) q^{56} +(-1.37317 + 0.484113i) q^{57} +(-0.397523 + 8.34504i) q^{58} +(6.79584 - 2.35206i) q^{59} +(5.27995 - 0.534814i) q^{60} +(3.69824 + 4.70270i) q^{61} +(7.35867 - 6.37632i) q^{62} +(-5.18715 - 6.00779i) q^{63} +(0.959493 - 0.281733i) q^{64} +(17.4871 - 1.66982i) q^{65} +(1.68577 - 0.419236i) q^{66} +(7.31373 - 0.348396i) q^{67} +(-2.91148 - 5.04283i) q^{68} +(7.64832 - 3.24087i) q^{69} +(4.29185 + 6.87720i) q^{70} +(4.98827 + 7.76191i) q^{71} +(-2.42356 + 1.76815i) q^{72} +(7.08286 + 9.94649i) q^{73} +(-1.25992 + 5.19346i) q^{74} +(7.27990 - 2.18310i) q^{75} +(-0.635303 + 0.550493i) q^{76} +(1.71090 + 2.02825i) q^{77} +(-8.05576 + 5.80655i) q^{78} +(-1.61359 + 8.37210i) q^{79} +(2.72337 - 1.40400i) q^{80} +(5.05061 - 7.44925i) q^{81} +(5.65943 + 1.09077i) q^{82} +(-4.91571 - 1.44338i) q^{83} +(-4.05725 - 2.13043i) q^{84} +(-11.6837 - 13.4837i) q^{85} +(-5.88696 + 8.26707i) q^{86} +(-9.01025 - 11.3229i) q^{87} +(0.816958 - 0.581753i) q^{88} +(-0.743702 + 0.297733i) q^{89} +(-6.26628 + 6.72499i) q^{90} +(-13.3892 - 7.12904i) q^{91} +(3.42338 - 3.35864i) q^{92} +(-2.30413 + 16.7067i) q^{93} +(-5.16623e-5 - 0.00108452i) q^{94} +(-1.59217 + 2.02461i) q^{95} +(-0.928027 + 1.46245i) q^{96} +(0.0235284 + 0.0801303i) q^{97} +(0.185745 - 6.99754i) q^{98} +(-1.71697 + 2.47077i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1280 q - 64 q^{4} - 8 q^{6} + 4 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 1280 q - 64 q^{4} - 8 q^{6} + 4 q^{9} + 64 q^{16} + 44 q^{18} - 132 q^{21} - 4 q^{24} + 72 q^{25} + 108 q^{27} + 44 q^{30} + 8 q^{36} + 44 q^{37} - 4 q^{39} - 88 q^{43} - 12 q^{46} + 60 q^{49} - 48 q^{54} + 96 q^{55} + 44 q^{58} - 176 q^{61} - 110 q^{63} + 128 q^{64} + 56 q^{69} - 120 q^{70} + 44 q^{72} + 40 q^{73} - 268 q^{75} + 16 q^{78} + 88 q^{79} + 8 q^{81} - 56 q^{82} - 22 q^{84} + 64 q^{85} - 42 q^{87} - 32 q^{93} + 8 q^{94} + 4 q^{96} + 132 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(829\) \(925\)
\(\chi(n)\) \(-1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{9}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.458227 + 0.888835i −0.324015 + 0.628502i
\(3\) −0.418014 1.68085i −0.241340 0.970441i
\(4\) −0.580057 0.814576i −0.290028 0.407288i
\(5\) −2.21751 2.11439i −0.991699 0.945583i 0.00682058 0.999977i \(-0.497829\pi\)
−0.998520 + 0.0543937i \(0.982677\pi\)
\(6\) 1.68555 + 0.398666i 0.688121 + 0.162755i
\(7\) 0.589589 + 2.57922i 0.222844 + 0.974854i
\(8\) 0.989821 0.142315i 0.349955 0.0503159i
\(9\) −2.65053 + 1.40524i −0.883510 + 0.468413i
\(10\) 2.89546 1.00213i 0.915626 0.316901i
\(11\) 0.891435 0.459567i 0.268778 0.138565i −0.318570 0.947899i \(-0.603203\pi\)
0.587347 + 0.809335i \(0.300172\pi\)
\(12\) −1.12671 + 1.31549i −0.325253 + 0.379750i
\(13\) −3.75450 + 4.33292i −1.04131 + 1.20174i −0.0622720 + 0.998059i \(0.519835\pi\)
−0.979038 + 0.203677i \(0.934711\pi\)
\(14\) −2.56267 0.657821i −0.684902 0.175810i
\(15\) −2.62703 + 4.61114i −0.678295 + 1.19059i
\(16\) −0.327068 + 0.945001i −0.0817670 + 0.236250i
\(17\) 5.79660 + 0.553508i 1.40588 + 0.134245i 0.770247 0.637745i \(-0.220133\pi\)
0.635634 + 0.771991i \(0.280739\pi\)
\(18\) −0.0344837 2.99980i −0.00812789 0.707060i
\(19\) −0.0799066 0.836820i −0.0183318 0.191980i −0.999999 0.00137671i \(-0.999562\pi\)
0.981667 0.190603i \(-0.0610443\pi\)
\(20\) −0.436050 + 3.03279i −0.0975037 + 0.678153i
\(21\) 4.08883 2.06916i 0.892257 0.451528i
\(22\) 1.00292i 0.213824i
\(23\) 0.750107 + 4.73681i 0.156408 + 0.987692i
\(24\) −0.652969 1.60425i −0.133287 0.327467i
\(25\) 0.208788 + 4.38300i 0.0417576 + 0.876600i
\(26\) −2.13084 5.32259i −0.417893 1.04385i
\(27\) 3.46996 + 3.86774i 0.667794 + 0.744347i
\(28\) 1.75898 1.97636i 0.332415 0.373497i
\(29\) 7.59952 3.47059i 1.41120 0.644472i 0.443427 0.896311i \(-0.353763\pi\)
0.967769 + 0.251839i \(0.0810353\pi\)
\(30\) −2.89478 4.44794i −0.528511 0.812079i
\(31\) −9.03944 3.61885i −1.62353 0.649964i −0.631433 0.775430i \(-0.717533\pi\)
−0.992098 + 0.125466i \(0.959957\pi\)
\(32\) −0.690079 0.723734i −0.121990 0.127939i
\(33\) −1.14510 1.30627i −0.199336 0.227392i
\(34\) −3.14813 + 4.89859i −0.539900 + 0.840101i
\(35\) 4.14606 6.96606i 0.700812 1.17748i
\(36\) 2.68213 + 1.34394i 0.447022 + 0.223990i
\(37\) 5.19346 1.25992i 0.853799 0.207129i 0.215106 0.976591i \(-0.430990\pi\)
0.638693 + 0.769461i \(0.279475\pi\)
\(38\) 0.780410 + 0.312429i 0.126599 + 0.0506827i
\(39\) 8.85243 + 4.49953i 1.41752 + 0.720502i
\(40\) −2.49584 1.77728i −0.394628 0.281013i
\(41\) −1.62379 5.53012i −0.253593 0.863660i −0.983622 0.180243i \(-0.942312\pi\)
0.730029 0.683416i \(-0.239507\pi\)
\(42\) −0.0344681 + 4.58245i −0.00531855 + 0.707087i
\(43\) 10.0456 + 1.44434i 1.53194 + 0.220260i 0.856110 0.516794i \(-0.172875\pi\)
0.675834 + 0.737054i \(0.263784\pi\)
\(44\) −0.891435 0.459567i −0.134389 0.0692823i
\(45\) 8.84879 + 2.48812i 1.31910 + 0.370907i
\(46\) −4.55396 1.50381i −0.671445 0.221724i
\(47\) −0.000940291 0 0.000542877i −0.000137156 0 7.91868e-5i −0.500069 0.865986i \(-0.666692\pi\)
0.499931 + 0.866065i \(0.333359\pi\)
\(48\) 1.72513 + 0.154729i 0.249000 + 0.0223333i
\(49\) −6.30477 + 3.04136i −0.900682 + 0.434480i
\(50\) −3.99144 1.82283i −0.564475 0.257787i
\(51\) −1.49269 9.97460i −0.209019 1.39672i
\(52\) 5.70732 + 0.544983i 0.791462 + 0.0755755i
\(53\) 0.337680 0.0650824i 0.0463839 0.00893976i −0.166007 0.986125i \(-0.553087\pi\)
0.212390 + 0.977185i \(0.431875\pi\)
\(54\) −5.02781 + 1.31192i −0.684198 + 0.178530i
\(55\) −2.94846 0.865747i −0.397571 0.116737i
\(56\) 0.950649 + 2.46906i 0.127036 + 0.329942i
\(57\) −1.37317 + 0.484113i −0.181881 + 0.0641224i
\(58\) −0.397523 + 8.34504i −0.0521974 + 1.09576i
\(59\) 6.79584 2.35206i 0.884743 0.306212i 0.153352 0.988172i \(-0.450993\pi\)
0.731390 + 0.681959i \(0.238872\pi\)
\(60\) 5.27995 0.534814i 0.681639 0.0690442i
\(61\) 3.69824 + 4.70270i 0.473511 + 0.602119i 0.962871 0.269964i \(-0.0870117\pi\)
−0.489359 + 0.872082i \(0.662769\pi\)
\(62\) 7.35867 6.37632i 0.934552 0.809794i
\(63\) −5.18715 6.00779i −0.653519 0.756910i
\(64\) 0.959493 0.281733i 0.119937 0.0352166i
\(65\) 17.4871 1.66982i 2.16901 0.207115i
\(66\) 1.68577 0.419236i 0.207504 0.0516044i
\(67\) 7.31373 0.348396i 0.893515 0.0425634i 0.404200 0.914671i \(-0.367550\pi\)
0.489315 + 0.872107i \(0.337247\pi\)
\(68\) −2.91148 5.04283i −0.353069 0.611534i
\(69\) 7.64832 3.24087i 0.920749 0.390155i
\(70\) 4.29185 + 6.87720i 0.512974 + 0.821982i
\(71\) 4.98827 + 7.76191i 0.591999 + 0.921169i 0.999967 + 0.00817234i \(0.00260136\pi\)
−0.407967 + 0.912997i \(0.633762\pi\)
\(72\) −2.42356 + 1.76815i −0.285620 + 0.208378i
\(73\) 7.08286 + 9.94649i 0.828986 + 1.16415i 0.984338 + 0.176289i \(0.0564095\pi\)
−0.155352 + 0.987859i \(0.549651\pi\)
\(74\) −1.25992 + 5.19346i −0.146463 + 0.603727i
\(75\) 7.27990 2.18310i 0.840611 0.252082i
\(76\) −0.635303 + 0.550493i −0.0728742 + 0.0631459i
\(77\) 1.71090 + 2.02825i 0.194976 + 0.231141i
\(78\) −8.05576 + 5.80655i −0.912136 + 0.657462i
\(79\) −1.61359 + 8.37210i −0.181543 + 0.941935i 0.770839 + 0.637029i \(0.219837\pi\)
−0.952383 + 0.304906i \(0.901375\pi\)
\(80\) 2.72337 1.40400i 0.304482 0.156972i
\(81\) 5.05061 7.44925i 0.561178 0.827695i
\(82\) 5.65943 + 1.09077i 0.624979 + 0.120455i
\(83\) −4.91571 1.44338i −0.539569 0.158432i 0.000582158 1.00000i \(-0.499815\pi\)
−0.540151 + 0.841568i \(0.681633\pi\)
\(84\) −4.05725 2.13043i −0.442682 0.232449i
\(85\) −11.6837 13.4837i −1.26727 1.46251i
\(86\) −5.88696 + 8.26707i −0.634807 + 0.891461i
\(87\) −9.01025 11.3229i −0.966000 1.21394i
\(88\) 0.816958 0.581753i 0.0870880 0.0620151i
\(89\) −0.743702 + 0.297733i −0.0788322 + 0.0315597i −0.410743 0.911751i \(-0.634731\pi\)
0.331911 + 0.943311i \(0.392307\pi\)
\(90\) −6.26628 + 6.72499i −0.660524 + 0.708876i
\(91\) −13.3892 7.12904i −1.40357 0.747327i
\(92\) 3.42338 3.35864i 0.356912 0.350162i
\(93\) −2.30413 + 16.7067i −0.238928 + 1.73240i
\(94\) −5.16623e−5 0.00108452i −5.32856e−6 0.000111860i
\(95\) −1.59217 + 2.02461i −0.163353 + 0.207720i
\(96\) −0.928027 + 1.46245i −0.0947164 + 0.149261i
\(97\) 0.0235284 + 0.0801303i 0.00238895 + 0.00813600i 0.960679 0.277662i \(-0.0895595\pi\)
−0.958290 + 0.285798i \(0.907741\pi\)
\(98\) 0.185745 6.99754i 0.0187631 0.706858i
\(99\) −1.71697 + 2.47077i −0.172562 + 0.248322i
\(100\) 3.44918 2.71246i 0.344918 0.271246i
\(101\) −5.40086 5.66426i −0.537406 0.563615i 0.397912 0.917424i \(-0.369735\pi\)
−0.935318 + 0.353809i \(0.884886\pi\)
\(102\) 9.54977 + 3.24387i 0.945568 + 0.321191i
\(103\) 12.1176 + 0.577230i 1.19398 + 0.0568762i 0.635138 0.772399i \(-0.280943\pi\)
0.558841 + 0.829275i \(0.311246\pi\)
\(104\) −3.09964 + 4.82314i −0.303945 + 0.472948i
\(105\) −13.4420 4.05700i −1.31181 0.395923i
\(106\) −0.0968862 + 0.329964i −0.00941042 + 0.0320489i
\(107\) −7.70434 + 6.05876i −0.744807 + 0.585723i −0.916786 0.399378i \(-0.869226\pi\)
0.171980 + 0.985101i \(0.444984\pi\)
\(108\) 1.13779 5.07005i 0.109484 0.487866i
\(109\) −1.45600 + 15.2479i −0.139460 + 1.46049i 0.606812 + 0.794846i \(0.292448\pi\)
−0.746271 + 0.665642i \(0.768158\pi\)
\(110\) 2.12057 2.22399i 0.202189 0.212049i
\(111\) −4.28867 8.20277i −0.407063 0.778572i
\(112\) −2.63020 0.286419i −0.248531 0.0270641i
\(113\) −3.48637 + 2.24055i −0.327970 + 0.210774i −0.694255 0.719729i \(-0.744266\pi\)
0.366285 + 0.930503i \(0.380630\pi\)
\(114\) 0.198925 1.44235i 0.0186310 0.135089i
\(115\) 8.35208 12.0899i 0.778835 1.12739i
\(116\) −7.23521 4.17725i −0.671773 0.387848i
\(117\) 3.86261 16.7605i 0.357099 1.54951i
\(118\) −1.02344 + 7.11816i −0.0942150 + 0.655280i
\(119\) 1.98999 + 15.2771i 0.182422 + 1.40045i
\(120\) −1.94405 + 4.93807i −0.177467 + 0.450782i
\(121\) −5.79717 + 8.14099i −0.527016 + 0.740090i
\(122\) −5.87456 + 1.13223i −0.531857 + 0.102507i
\(123\) −8.61655 + 5.04102i −0.776928 + 0.454533i
\(124\) 2.29556 + 9.46245i 0.206148 + 0.849753i
\(125\) −1.22802 + 1.41721i −0.109838 + 0.126760i
\(126\) 7.71682 1.85759i 0.687469 0.165487i
\(127\) −9.88589 6.35328i −0.877231 0.563762i 0.0227256 0.999742i \(-0.492766\pi\)
−0.899957 + 0.435980i \(0.856402\pi\)
\(128\) −0.189251 + 0.981929i −0.0167276 + 0.0867911i
\(129\) −1.77148 17.4890i −0.155970 1.53982i
\(130\) −6.52886 + 16.3083i −0.572619 + 1.43033i
\(131\) 9.60118 + 3.32300i 0.838859 + 0.290332i 0.712517 0.701655i \(-0.247555\pi\)
0.126342 + 0.991987i \(0.459676\pi\)
\(132\) −0.399832 + 1.69048i −0.0348009 + 0.147137i
\(133\) 2.11123 0.699476i 0.183067 0.0606523i
\(134\) −3.04168 + 6.66035i −0.262761 + 0.575367i
\(135\) 0.483247 15.9136i 0.0415913 1.36962i
\(136\) 5.81637 0.277068i 0.498749 0.0237584i
\(137\) 9.34049 16.1782i 0.798012 1.38220i −0.122897 0.992419i \(-0.539219\pi\)
0.920909 0.389778i \(-0.127448\pi\)
\(138\) −0.624061 + 8.28315i −0.0531236 + 0.705108i
\(139\) 0.990424 0.0840066 0.0420033 0.999117i \(-0.486626\pi\)
0.0420033 + 0.999117i \(0.486626\pi\)
\(140\) −8.07934 + 0.663431i −0.682828 + 0.0560702i
\(141\) 0.00130555 + 0.00135356i 0.000109947 + 0.000113990i
\(142\) −9.18482 + 0.877044i −0.770773 + 0.0735999i
\(143\) −1.35562 + 5.58796i −0.113363 + 0.467289i
\(144\) −0.461049 2.96436i −0.0384208 0.247030i
\(145\) −24.1902 8.37229i −2.00888 0.695281i
\(146\) −12.0863 + 1.73775i −1.00027 + 0.143818i
\(147\) 7.74756 + 9.32606i 0.639008 + 0.769200i
\(148\) −4.03880 3.49964i −0.331987 0.287669i
\(149\) −1.07668 + 22.6024i −0.0882053 + 1.85166i 0.330834 + 0.943689i \(0.392670\pi\)
−0.419039 + 0.907968i \(0.637633\pi\)
\(150\) −1.39543 + 7.47099i −0.113936 + 0.610004i
\(151\) 2.71281 + 7.83815i 0.220765 + 0.637859i 0.999939 + 0.0110513i \(0.00351781\pi\)
−0.779174 + 0.626808i \(0.784361\pi\)
\(152\) −0.198185 0.816930i −0.0160749 0.0662618i
\(153\) −16.1419 + 6.67852i −1.30499 + 0.539926i
\(154\) −2.58677 + 0.591313i −0.208447 + 0.0476494i
\(155\) 12.3934 + 27.1377i 0.995459 + 2.17975i
\(156\) −1.46970 9.82096i −0.117670 0.786306i
\(157\) 2.36316 1.68280i 0.188601 0.134302i −0.481856 0.876250i \(-0.660037\pi\)
0.670457 + 0.741948i \(0.266098\pi\)
\(158\) −6.70203 5.27054i −0.533185 0.419301i
\(159\) −0.250549 0.540384i −0.0198698 0.0428553i
\(160\) 3.06398i 0.242229i
\(161\) −11.7750 + 4.72746i −0.928002 + 0.372576i
\(162\) 4.30684 + 7.90260i 0.338377 + 0.620887i
\(163\) 13.9234 + 7.17804i 1.09057 + 0.562227i 0.907150 0.420808i \(-0.138253\pi\)
0.183419 + 0.983035i \(0.441284\pi\)
\(164\) −3.56281 + 4.53048i −0.278209 + 0.353771i
\(165\) −0.222694 + 5.31783i −0.0173367 + 0.413992i
\(166\) 3.53544 3.70786i 0.274403 0.287786i
\(167\) 1.13526 0.518455i 0.0878489 0.0401192i −0.371006 0.928630i \(-0.620987\pi\)
0.458855 + 0.888511i \(0.348260\pi\)
\(168\) 3.75274 2.63000i 0.289530 0.202909i
\(169\) −2.82786 19.6682i −0.217528 1.51294i
\(170\) 17.3385 4.20628i 1.32980 0.322607i
\(171\) 1.38773 + 2.10573i 0.106122 + 0.161029i
\(172\) −4.65051 9.02073i −0.354598 0.687824i
\(173\) −6.59753 0.314279i −0.501601 0.0238942i −0.204743 0.978816i \(-0.565636\pi\)
−0.296858 + 0.954922i \(0.595939\pi\)
\(174\) 14.1929 2.82016i 1.07596 0.213796i
\(175\) −11.1816 + 3.12268i −0.845252 + 0.236052i
\(176\) 0.142731 + 0.992716i 0.0107588 + 0.0748288i
\(177\) −6.79422 10.4396i −0.510685 0.784689i
\(178\) 0.0761480 0.797458i 0.00570753 0.0597720i
\(179\) 23.8999 + 5.79805i 1.78636 + 0.433366i 0.986082 0.166261i \(-0.0531694\pi\)
0.800279 + 0.599628i \(0.204685\pi\)
\(180\) −3.10604 8.65126i −0.231510 0.644827i
\(181\) 10.1393 + 1.45781i 0.753646 + 0.108358i 0.508421 0.861108i \(-0.330229\pi\)
0.245225 + 0.969466i \(0.421138\pi\)
\(182\) 12.4718 8.63406i 0.924473 0.639999i
\(183\) 6.35862 8.18199i 0.470043 0.604830i
\(184\) 1.41659 + 4.58184i 0.104432 + 0.337778i
\(185\) −14.1805 8.18710i −1.04257 0.601928i
\(186\) −13.7937 9.70344i −1.01140 0.711491i
\(187\) 5.42166 2.17051i 0.396471 0.158723i
\(188\) 0.000987637 0 0.000451039i 7.20308e−5 0 3.28954e-5i
\(189\) −7.92991 + 11.2302i −0.576816 + 0.816874i
\(190\) −1.06997 2.34290i −0.0776237 0.169972i
\(191\) 7.73220 22.3407i 0.559482 1.61652i −0.209896 0.977724i \(-0.567312\pi\)
0.769378 0.638794i \(-0.220566\pi\)
\(192\) −0.874632 1.49500i −0.0631211 0.107892i
\(193\) −4.80869 + 4.58507i −0.346137 + 0.330041i −0.843126 0.537716i \(-0.819287\pi\)
0.496989 + 0.867757i \(0.334439\pi\)
\(194\) −0.0820040 0.0158050i −0.00588755 0.00113473i
\(195\) −10.1166 28.6952i −0.724462 2.05491i
\(196\) 6.13454 + 3.37155i 0.438182 + 0.240825i
\(197\) −13.7085 11.8785i −0.976693 0.846309i 0.0114366 0.999935i \(-0.496360\pi\)
−0.988129 + 0.153626i \(0.950905\pi\)
\(198\) −1.40935 2.65828i −0.100158 0.188916i
\(199\) −4.87841 + 12.1857i −0.345821 + 0.863819i 0.648869 + 0.760900i \(0.275242\pi\)
−0.994690 + 0.102919i \(0.967182\pi\)
\(200\) 0.830429 + 4.30867i 0.0587202 + 0.304669i
\(201\) −3.64284 12.1477i −0.256946 0.856831i
\(202\) 7.50941 2.20496i 0.528360 0.155141i
\(203\) 13.4320 + 17.5546i 0.942742 + 1.23209i
\(204\) −7.25922 + 7.00175i −0.508247 + 0.490220i
\(205\) −8.09205 + 15.6964i −0.565174 + 1.09628i
\(206\) −6.06565 + 10.5060i −0.422614 + 0.731988i
\(207\) −8.64453 11.5010i −0.600836 0.799372i
\(208\) −2.86664 4.96516i −0.198766 0.344272i
\(209\) −0.455806 0.709248i −0.0315288 0.0490597i
\(210\) 9.76550 10.0887i 0.673884 0.696188i
\(211\) 6.83150 14.9589i 0.470300 1.02981i −0.514718 0.857360i \(-0.672103\pi\)
0.985018 0.172453i \(-0.0551693\pi\)
\(212\) −0.248888 0.237314i −0.0170937 0.0162988i
\(213\) 10.9615 11.6291i 0.751066 0.796815i
\(214\) −1.85491 9.62418i −0.126799 0.657895i
\(215\) −19.2223 24.4432i −1.31095 1.66701i
\(216\) 3.98507 + 3.33454i 0.271150 + 0.226887i
\(217\) 4.00426 25.4483i 0.271827 1.72755i
\(218\) −12.8857 8.28116i −0.872732 0.560871i
\(219\) 13.7578 16.0630i 0.929669 1.08544i
\(220\) 1.00506 + 2.90393i 0.0677612 + 0.195783i
\(221\) −24.1616 + 23.0381i −1.62529 + 1.54971i
\(222\) 9.25609 0.0531992i 0.621228 0.00357050i
\(223\) 10.5178 + 12.1382i 0.704326 + 0.812835i 0.989330 0.145691i \(-0.0465406\pi\)
−0.285005 + 0.958526i \(0.591995\pi\)
\(224\) 1.45981 2.20657i 0.0975375 0.147433i
\(225\) −6.71256 11.3239i −0.447504 0.754925i
\(226\) −0.393936 4.12549i −0.0262043 0.274423i
\(227\) −4.21348 3.31352i −0.279658 0.219926i 0.468471 0.883479i \(-0.344805\pi\)
−0.748129 + 0.663553i \(0.769048\pi\)
\(228\) 1.19086 + 0.837736i 0.0788668 + 0.0554805i
\(229\) −10.2897 + 5.94074i −0.679960 + 0.392575i −0.799840 0.600213i \(-0.795082\pi\)
0.119880 + 0.992788i \(0.461749\pi\)
\(230\) 6.91880 + 12.9635i 0.456212 + 0.854791i
\(231\) 2.69401 3.72362i 0.177253 0.244996i
\(232\) 7.02825 4.51679i 0.461428 0.296541i
\(233\) −0.133035 0.332305i −0.00871541 0.0217701i 0.923946 0.382522i \(-0.124944\pi\)
−0.932662 + 0.360752i \(0.882520\pi\)
\(234\) 13.1274 + 11.1133i 0.858163 + 0.726501i
\(235\) 0.00323295 0.000784306i 0.000210895 5.11625e-5i
\(236\) −5.85791 4.17140i −0.381317 0.271535i
\(237\) 14.7468 0.787448i 0.957906 0.0511502i
\(238\) −14.4907 5.23158i −0.939289 0.339113i
\(239\) −2.64714 + 9.01532i −0.171229 + 0.583152i 0.828503 + 0.559985i \(0.189193\pi\)
−0.999732 + 0.0231672i \(0.992625\pi\)
\(240\) −3.49832 3.99070i −0.225816 0.257599i
\(241\) −6.41547 12.4443i −0.413256 0.801606i 0.586710 0.809797i \(-0.300423\pi\)
−0.999966 + 0.00819144i \(0.997393\pi\)
\(242\) −4.57958 8.88315i −0.294387 0.571030i
\(243\) −14.6323 5.37543i −0.938664 0.344834i
\(244\) 1.68551 5.74033i 0.107904 0.367487i
\(245\) 20.4115 + 6.58650i 1.30404 + 0.420796i
\(246\) −0.532304 9.96862i −0.0339385 0.635576i
\(247\) 3.92588 + 2.79561i 0.249798 + 0.177880i
\(248\) −9.46245 2.29556i −0.600866 0.145768i
\(249\) −0.371278 + 8.86593i −0.0235288 + 0.561855i
\(250\) −0.696958 1.74092i −0.0440795 0.110105i
\(251\) 8.77287 5.63798i 0.553739 0.355866i −0.233652 0.972320i \(-0.575068\pi\)
0.787391 + 0.616454i \(0.211431\pi\)
\(252\) −1.88496 + 7.71018i −0.118741 + 0.485696i
\(253\) 2.84555 + 3.87783i 0.178898 + 0.243797i
\(254\) 10.1770 5.87569i 0.638561 0.368674i
\(255\) −17.7801 + 25.2749i −1.11343 + 1.58277i
\(256\) −0.786053 0.618159i −0.0491283 0.0386349i
\(257\) 1.20637 + 12.6337i 0.0752514 + 0.788068i 0.951793 + 0.306742i \(0.0992388\pi\)
−0.876541 + 0.481326i \(0.840155\pi\)
\(258\) 16.3566 + 6.43935i 1.01831 + 0.400897i
\(259\) 6.31161 + 12.6522i 0.392184 + 0.786172i
\(260\) −11.5037 13.2760i −0.713429 0.823341i
\(261\) −15.2658 + 19.8780i −0.944926 + 1.23042i
\(262\) −7.35312 + 7.01118i −0.454277 + 0.433152i
\(263\) 1.30734 + 3.77730i 0.0806138 + 0.232918i 0.978104 0.208116i \(-0.0667331\pi\)
−0.897490 + 0.441034i \(0.854612\pi\)
\(264\) −1.31934 1.13001i −0.0811998 0.0695470i
\(265\) −0.886416 0.569665i −0.0544521 0.0349942i
\(266\) −0.345703 + 2.19706i −0.0211964 + 0.134710i
\(267\) 0.811323 + 1.12560i 0.0496522 + 0.0688854i
\(268\) −4.52618 5.75550i −0.276480 0.351573i
\(269\) −2.01797 10.4702i −0.123038 0.638381i −0.990121 0.140217i \(-0.955220\pi\)
0.867083 0.498164i \(-0.165992\pi\)
\(270\) 13.9231 + 7.72155i 0.847333 + 0.469918i
\(271\) 19.3933 + 18.4915i 1.17806 + 1.12328i 0.989992 + 0.141124i \(0.0450716\pi\)
0.188070 + 0.982156i \(0.439777\pi\)
\(272\) −2.41895 + 5.29675i −0.146670 + 0.321163i
\(273\) −6.38600 + 25.4853i −0.386499 + 1.54244i
\(274\) 10.0997 + 15.7154i 0.610145 + 0.949404i
\(275\) 2.20040 + 3.81121i 0.132689 + 0.229825i
\(276\) −7.07639 4.35025i −0.425949 0.261854i
\(277\) 3.13011 5.42151i 0.188070 0.325747i −0.756537 0.653951i \(-0.773110\pi\)
0.944607 + 0.328204i \(0.106443\pi\)
\(278\) −0.453838 + 0.880324i −0.0272194 + 0.0527983i
\(279\) 29.0446 3.11072i 1.73886 0.186234i
\(280\) 3.11248 7.48520i 0.186007 0.447326i
\(281\) −28.7952 + 8.45502i −1.71778 + 0.504384i −0.984476 0.175521i \(-0.943839\pi\)
−0.733300 + 0.679905i \(0.762021\pi\)
\(282\) −0.00180133 0.000540183i −0.000107268 3.21674e-5i
\(283\) −4.20442 21.8146i −0.249927 1.29674i −0.862390 0.506245i \(-0.831033\pi\)
0.612463 0.790500i \(-0.290179\pi\)
\(284\) 3.42918 8.56568i 0.203484 0.508279i
\(285\) 4.06861 + 1.82989i 0.241004 + 0.108393i
\(286\) −4.34559 3.76548i −0.256960 0.222657i
\(287\) 13.3060 7.44861i 0.785430 0.439677i
\(288\) 2.84609 + 0.948552i 0.167708 + 0.0558940i
\(289\) 16.6014 + 3.19965i 0.976552 + 0.188215i
\(290\) 18.5262 17.6647i 1.08789 1.03730i
\(291\) 0.124852 0.0730433i 0.00731896 0.00428188i
\(292\) 3.99371 11.5391i 0.233714 0.675272i
\(293\) −9.55864 20.9305i −0.558422 1.22277i −0.952736 0.303798i \(-0.901745\pi\)
0.394315 0.918976i \(-0.370982\pi\)
\(294\) −11.8395 + 2.61286i −0.690492 + 0.152385i
\(295\) −20.0430 9.15333i −1.16695 0.532927i
\(296\) 4.96129 1.98620i 0.288369 0.115446i
\(297\) 4.87072 + 1.85316i 0.282628 + 0.107531i
\(298\) −19.5964 11.3140i −1.13519 0.655402i
\(299\) −23.3405 14.5342i −1.34982 0.840533i
\(300\) −6.00106 4.66371i −0.346471 0.269260i
\(301\) 2.19751 + 26.7615i 0.126662 + 1.54251i
\(302\) −8.20991 1.18041i −0.472427 0.0679247i
\(303\) −7.26315 + 11.4458i −0.417257 + 0.657543i
\(304\) 0.816930 + 0.198185i 0.0468542 + 0.0113667i
\(305\) 1.74245 18.2478i 0.0997725 1.04486i
\(306\) 1.46053 17.4077i 0.0834927 0.995134i
\(307\) 3.29148 + 22.8928i 0.187855 + 1.30656i 0.837548 + 0.546363i \(0.183988\pi\)
−0.649693 + 0.760196i \(0.725103\pi\)
\(308\) 0.659744 2.57016i 0.0375924 0.146449i
\(309\) −4.09507 20.6091i −0.232960 1.17241i
\(310\) −29.7999 1.41954i −1.69252 0.0806247i
\(311\) −0.851320 1.65133i −0.0482740 0.0936384i 0.863465 0.504410i \(-0.168290\pi\)
−0.911738 + 0.410771i \(0.865260\pi\)
\(312\) 9.40268 + 3.19390i 0.532322 + 0.180819i
\(313\) 3.27508 0.794527i 0.185119 0.0449093i −0.142128 0.989848i \(-0.545394\pi\)
0.327246 + 0.944939i \(0.393879\pi\)
\(314\) 0.412869 + 2.87157i 0.0232995 + 0.162052i
\(315\) −1.20027 + 24.2899i −0.0676275 + 1.36858i
\(316\) 7.75569 3.54190i 0.436291 0.199248i
\(317\) −7.30680 + 7.66315i −0.410391 + 0.430405i −0.896194 0.443663i \(-0.853679\pi\)
0.485803 + 0.874068i \(0.338527\pi\)
\(318\) 0.595121 + 0.0249218i 0.0333727 + 0.00139755i
\(319\) 5.17951 6.58629i 0.289997 0.368761i
\(320\) −2.72337 1.40400i −0.152241 0.0784858i
\(321\) 13.4044 + 10.4172i 0.748161 + 0.581432i
\(322\) 1.19369 12.6323i 0.0665219 0.703971i
\(323\) 4.89494i 0.272362i
\(324\) −8.99762 + 0.206889i −0.499868 + 0.0114938i
\(325\) −19.7751 15.5513i −1.09692 0.862631i
\(326\) −12.7602 + 9.08649i −0.706721 + 0.503254i
\(327\) 26.2382 3.92653i 1.45097 0.217137i
\(328\) −2.39428 5.24274i −0.132202 0.289482i
\(329\) −0.00195459 0.00210514i −0.000107760 0.000116060i
\(330\) −4.62463 2.63471i −0.254578 0.145036i
\(331\) 2.70130 + 11.1349i 0.148477 + 0.612031i 0.996612 + 0.0822501i \(0.0262106\pi\)
−0.848135 + 0.529781i \(0.822274\pi\)
\(332\) 1.67565 + 4.84146i 0.0919630 + 0.265710i
\(333\) −11.9949 + 10.6375i −0.657317 + 0.582931i
\(334\) −0.0593841 + 1.24663i −0.00324936 + 0.0682124i
\(335\) −16.9549 14.6915i −0.926345 0.802682i
\(336\) 0.618033 + 4.54071i 0.0337165 + 0.247716i
\(337\) −24.8683 + 3.57553i −1.35466 + 0.194771i −0.781108 0.624395i \(-0.785345\pi\)
−0.573555 + 0.819167i \(0.694436\pi\)
\(338\) 18.7776 + 6.49899i 1.02137 + 0.353498i
\(339\) 5.22339 + 4.92349i 0.283696 + 0.267407i
\(340\) −4.20628 + 17.3385i −0.228118 + 0.940313i
\(341\) −9.72117 + 0.928259i −0.526431 + 0.0502681i
\(342\) −2.50754 + 0.268561i −0.135592 + 0.0145221i
\(343\) −11.5616 14.4683i −0.624266 0.781212i
\(344\) 10.1489 0.547193
\(345\) −23.8127 8.98486i −1.28203 0.483729i
\(346\) 3.30250 5.72011i 0.177544 0.307515i
\(347\) 18.3132 0.872364i 0.983102 0.0468309i 0.450129 0.892963i \(-0.351378\pi\)
0.532973 + 0.846132i \(0.321075\pi\)
\(348\) −3.99692 + 13.9075i −0.214258 + 0.745519i
\(349\) 7.30601 15.9979i 0.391082 0.856349i −0.607016 0.794690i \(-0.707633\pi\)
0.998097 0.0616595i \(-0.0196393\pi\)
\(350\) 2.34817 11.3695i 0.125515 0.607727i
\(351\) −29.7865 + 0.513638i −1.58989 + 0.0274160i
\(352\) −0.947765 0.328025i −0.0505160 0.0174838i
\(353\) −2.09081 + 5.22258i −0.111282 + 0.277970i −0.973547 0.228489i \(-0.926622\pi\)
0.862264 + 0.506459i \(0.169046\pi\)
\(354\) 12.3924 1.25524i 0.658648 0.0667154i
\(355\) 5.35015 27.7592i 0.283957 1.47331i
\(356\) 0.673916 + 0.433099i 0.0357175 + 0.0229542i
\(357\) 24.8466 9.73090i 1.31502 0.515014i
\(358\) −16.1051 + 18.5862i −0.851179 + 0.982313i
\(359\) −6.48243 26.7209i −0.342130 1.41028i −0.839793 0.542907i \(-0.817324\pi\)
0.497663 0.867370i \(-0.334191\pi\)
\(360\) 9.11281 + 1.20348i 0.480287 + 0.0634290i
\(361\) 17.9628 3.46204i 0.945409 0.182213i
\(362\) −5.94183 + 8.34414i −0.312296 + 0.438558i
\(363\) 16.1071 + 6.34114i 0.845403 + 0.332824i
\(364\) 1.95934 + 15.0417i 0.102697 + 0.788402i
\(365\) 5.32444 37.0323i 0.278694 1.93836i
\(366\) 4.35875 + 9.40098i 0.227836 + 0.491397i
\(367\) 4.43669 + 2.56153i 0.231593 + 0.133711i 0.611307 0.791394i \(-0.290644\pi\)
−0.379714 + 0.925104i \(0.623977\pi\)
\(368\) −4.72162 0.840406i −0.246132 0.0438092i
\(369\) 12.0750 + 12.3759i 0.628602 + 0.644265i
\(370\) 13.7749 8.85256i 0.716121 0.460223i
\(371\) 0.366954 + 0.832579i 0.0190513 + 0.0432253i
\(372\) 14.9454 7.81394i 0.774883 0.405134i
\(373\) −12.5719 + 13.1850i −0.650948 + 0.682695i −0.963653 0.267155i \(-0.913916\pi\)
0.312705 + 0.949850i \(0.398765\pi\)
\(374\) −0.555127 + 5.81355i −0.0287049 + 0.300612i
\(375\) 2.89546 + 1.47171i 0.149521 + 0.0759988i
\(376\) −0.000853461 0 0.000671169i −4.40139e−5 0 3.46129e-5i
\(377\) −13.4946 + 45.9584i −0.695008 + 2.36698i
\(378\) −6.34807 12.1943i −0.326510 0.627209i
\(379\) 7.48091 11.6405i 0.384269 0.597934i −0.594203 0.804315i \(-0.702532\pi\)
0.978472 + 0.206381i \(0.0661687\pi\)
\(380\) 2.57274 + 0.122555i 0.131979 + 0.00628693i
\(381\) −6.54648 + 19.2725i −0.335386 + 0.987359i
\(382\) 16.3141 + 17.1098i 0.834703 + 0.875412i
\(383\) −4.30119 + 3.38250i −0.219781 + 0.172838i −0.721979 0.691915i \(-0.756767\pi\)
0.502198 + 0.864753i \(0.332525\pi\)
\(384\) 1.72959 0.0923564i 0.0882626 0.00471304i
\(385\) 0.494573 8.11518i 0.0252058 0.413588i
\(386\) −1.87191 6.37513i −0.0952776 0.324486i
\(387\) −28.6559 + 10.2882i −1.45666 + 0.522980i
\(388\) 0.0516244 0.0656458i 0.00262083 0.00333266i
\(389\) 0.346390 + 7.27163i 0.0175627 + 0.368686i 0.990491 + 0.137579i \(0.0439319\pi\)
−0.972928 + 0.231108i \(0.925765\pi\)
\(390\) 30.1410 + 4.15695i 1.52625 + 0.210495i
\(391\) 1.72621 + 27.8726i 0.0872982 + 1.40958i
\(392\) −5.80777 + 3.90767i −0.293337 + 0.197367i
\(393\) 1.57205 17.5272i 0.0792993 0.884132i
\(394\) 16.8397 6.74158i 0.848370 0.339636i
\(395\) 21.2800 15.1534i 1.07071 0.762452i
\(396\) 3.00858 0.0345846i 0.151187 0.00173794i
\(397\) 8.37438 11.7602i 0.420298 0.590226i −0.549089 0.835764i \(-0.685025\pi\)
0.969387 + 0.245538i \(0.0789645\pi\)
\(398\) −8.59564 9.91990i −0.430861 0.497240i
\(399\) −2.05824 3.25628i −0.103041 0.163018i
\(400\) −4.21023 1.23623i −0.210511 0.0618117i
\(401\) 12.9266 + 2.49139i 0.645521 + 0.124414i 0.501496 0.865160i \(-0.332783\pi\)
0.144025 + 0.989574i \(0.453995\pi\)
\(402\) 12.4665 + 2.32850i 0.621774 + 0.116135i
\(403\) 49.6187 25.5802i 2.47168 1.27424i
\(404\) −1.48116 + 7.68500i −0.0736906 + 0.382343i
\(405\) −26.9504 + 5.83983i −1.33917 + 0.290183i
\(406\) −21.7581 + 3.89484i −1.07984 + 0.193298i
\(407\) 4.05061 3.50987i 0.200781 0.173978i
\(408\) −2.89703 9.66064i −0.143424 0.478273i
\(409\) −6.56675 + 27.0685i −0.324705 + 1.33845i 0.542314 + 0.840176i \(0.317548\pi\)
−0.867019 + 0.498275i \(0.833967\pi\)
\(410\) −10.2435 14.3850i −0.505891 0.710425i
\(411\) −31.0976 8.93727i −1.53393 0.440843i
\(412\) −6.55867 10.2055i −0.323123 0.502789i
\(413\) 10.0732 + 16.1412i 0.495672 + 0.794258i
\(414\) 14.1836 2.41352i 0.697087 0.118618i
\(415\) 7.84874 + 13.5944i 0.385280 + 0.667324i
\(416\) 5.72678 0.272800i 0.280779 0.0133751i
\(417\) −0.414011 1.66476i −0.0202742 0.0815234i
\(418\) 0.839267 0.0801403i 0.0410499 0.00391979i
\(419\) −1.79952 + 0.528386i −0.0879121 + 0.0258133i −0.325393 0.945579i \(-0.605497\pi\)
0.237481 + 0.971392i \(0.423678\pi\)
\(420\) 4.49240 + 13.3028i 0.219207 + 0.649112i
\(421\) −4.91477 + 4.25867i −0.239531 + 0.207555i −0.766351 0.642422i \(-0.777930\pi\)
0.526820 + 0.849977i \(0.323384\pi\)
\(422\) 10.1656 + 12.9266i 0.494855 + 0.629259i
\(423\) 0.00172940 0.00276025i 8.40861e−5 0.000134208i
\(424\) 0.324980 0.112477i 0.0157824 0.00546236i
\(425\) −1.21577 + 25.5221i −0.0589733 + 1.23800i
\(426\) 5.31356 + 15.0717i 0.257443 + 0.730227i
\(427\) −9.94886 + 12.3112i −0.481459 + 0.595783i
\(428\) 9.40428 + 2.76135i 0.454573 + 0.133475i
\(429\) 9.95920 0.0572403i 0.480835 0.00276359i
\(430\) 30.5342 5.88498i 1.47249 0.283799i
\(431\) −4.19787 0.400848i −0.202204 0.0193082i −0.00653771 0.999979i \(-0.502081\pi\)
−0.195667 + 0.980670i \(0.562687\pi\)
\(432\) −4.78993 + 2.01410i −0.230455 + 0.0969034i
\(433\) −27.5875 12.5988i −1.32577 0.605459i −0.378413 0.925637i \(-0.623530\pi\)
−0.947357 + 0.320178i \(0.896257\pi\)
\(434\) 20.7845 + 15.2202i 0.997690 + 0.730595i
\(435\) −3.96077 + 44.1598i −0.189904 + 2.11730i
\(436\) 13.2652 7.65865i 0.635286 0.366783i
\(437\) 3.90391 1.00621i 0.186750 0.0481334i
\(438\) 7.97317 + 19.5890i 0.380973 + 0.935997i
\(439\) −19.5754 10.0918i −0.934283 0.481656i −0.0773040 0.997008i \(-0.524631\pi\)
−0.856979 + 0.515351i \(0.827661\pi\)
\(440\) −3.04166 0.437325i −0.145006 0.0208487i
\(441\) 12.4371 16.9209i 0.592245 0.805758i
\(442\) −9.40555 32.0323i −0.447376 1.52362i
\(443\) 24.6247 + 17.5351i 1.16995 + 0.833119i 0.988640 0.150306i \(-0.0480259\pi\)
0.181313 + 0.983425i \(0.441965\pi\)
\(444\) −4.19410 + 8.25152i −0.199043 + 0.391600i
\(445\) 2.27869 + 0.912249i 0.108020 + 0.0432447i
\(446\) −15.6084 + 3.78656i −0.739080 + 0.179299i
\(447\) 38.4413 7.63835i 1.81821 0.361282i
\(448\) 1.29236 + 2.30864i 0.0610581 + 0.109073i
\(449\) −6.80456 + 10.5881i −0.321127 + 0.499684i −0.963861 0.266406i \(-0.914164\pi\)
0.642734 + 0.766090i \(0.277800\pi\)
\(450\) 13.1409 0.777465i 0.619470 0.0366501i
\(451\) −3.98896 4.18350i −0.187833 0.196993i
\(452\) 3.84739 + 1.54026i 0.180966 + 0.0724479i
\(453\) 12.0408 7.83629i 0.565725 0.368181i
\(454\) 4.87590 2.22675i 0.228837 0.104506i
\(455\) 14.6170 + 44.1186i 0.685256 + 2.06831i
\(456\) −1.29029 + 0.674608i −0.0604236 + 0.0315914i
\(457\) 2.47925 + 6.19287i 0.115975 + 0.289690i 0.974986 0.222266i \(-0.0713453\pi\)
−0.859012 + 0.511956i \(0.828921\pi\)
\(458\) −0.565344 11.8680i −0.0264168 0.554556i
\(459\) 17.9731 + 24.3404i 0.838913 + 1.13611i
\(460\) −14.6928 + 0.209437i −0.685057 + 0.00976504i
\(461\) 8.52152i 0.396887i 0.980112 + 0.198443i \(0.0635886\pi\)
−0.980112 + 0.198443i \(0.936411\pi\)
\(462\) 2.07521 + 4.10079i 0.0965477 + 0.190786i
\(463\) 2.40109 16.7000i 0.111588 0.776114i −0.854787 0.518979i \(-0.826312\pi\)
0.966376 0.257135i \(-0.0827785\pi\)
\(464\) 0.794146 + 8.31667i 0.0368673 + 0.386092i
\(465\) 40.4339 32.1754i 1.87508 1.49210i
\(466\) 0.356325 + 0.0340249i 0.0165064 + 0.00157617i
\(467\) −2.28067 + 6.58955i −0.105537 + 0.304928i −0.985389 0.170319i \(-0.945520\pi\)
0.879852 + 0.475247i \(0.157641\pi\)
\(468\) −15.8932 + 6.57565i −0.734665 + 0.303960i
\(469\) 5.21068 + 18.6583i 0.240607 + 0.861562i
\(470\) −0.00217854 + 0.00251417i −0.000100489 + 0.000115970i
\(471\) −3.81637 3.26869i −0.175849 0.150613i
\(472\) 6.39193 3.29527i 0.294213 0.151677i
\(473\) 9.61879 3.32910i 0.442273 0.153072i
\(474\) −6.05745 + 13.4683i −0.278228 + 0.618619i
\(475\) 3.65110 0.524949i 0.167524 0.0240863i
\(476\) 11.2900 10.4826i 0.517477 0.480467i
\(477\) −0.803573 + 0.647023i −0.0367931 + 0.0296252i
\(478\) −6.80014 6.48393i −0.311031 0.296568i
\(479\) 9.87715 + 13.8705i 0.451298 + 0.633760i 0.976063 0.217487i \(-0.0697861\pi\)
−0.524765 + 0.851247i \(0.675847\pi\)
\(480\) 5.15010 1.28079i 0.235069 0.0584596i
\(481\) −14.0397 + 27.2332i −0.640155 + 1.24173i
\(482\) 14.0006 0.637712
\(483\) 12.8683 + 17.8159i 0.585527 + 0.810653i
\(484\) 9.99414 0.454279
\(485\) 0.117252 0.227438i 0.00532415 0.0103274i
\(486\) 11.4828 10.5426i 0.520870 0.478220i
\(487\) 0.294521 + 0.413596i 0.0133460 + 0.0187418i 0.821195 0.570648i \(-0.193308\pi\)
−0.807849 + 0.589389i \(0.799368\pi\)
\(488\) 4.32986 + 4.12852i 0.196004 + 0.186889i
\(489\) 6.24503 26.4038i 0.282410 1.19402i
\(490\) −15.2074 + 15.1243i −0.687000 + 0.683248i
\(491\) −19.6228 + 2.82134i −0.885566 + 0.127325i −0.570065 0.821600i \(-0.693082\pi\)
−0.315502 + 0.948925i \(0.602173\pi\)
\(492\) 9.10438 + 4.09476i 0.410457 + 0.184606i
\(493\) 45.9724 15.9112i 2.07049 0.716604i
\(494\) −4.28378 + 2.20844i −0.192736 + 0.0993625i
\(495\) 9.03157 1.84861i 0.405939 0.0830888i
\(496\) 6.37632 7.35867i 0.286305 0.330414i
\(497\) −17.0786 + 17.4422i −0.766082 + 0.782390i
\(498\) −7.71022 4.39261i −0.345503 0.196838i
\(499\) −11.2846 + 32.6047i −0.505167 + 1.45959i 0.347774 + 0.937578i \(0.386938\pi\)
−0.852941 + 0.522007i \(0.825184\pi\)
\(500\) 1.86675 + 0.178253i 0.0834837 + 0.00797173i
\(501\) −1.34600 1.69148i −0.0601348 0.0755697i
\(502\) 0.991276 + 10.3811i 0.0442428 + 0.463332i
\(503\) 1.14611 7.97140i 0.0511027 0.355427i −0.948186 0.317716i \(-0.897084\pi\)
0.999289 0.0377114i \(-0.0120067\pi\)
\(504\) −5.98934 5.20843i −0.266787 0.232002i
\(505\) 23.9800i 1.06710i
\(506\) −4.75066 + 0.752301i −0.211193 + 0.0334439i
\(507\) −31.8773 + 12.9748i −1.41572 + 0.576231i
\(508\) 0.559153 + 11.7381i 0.0248084 + 0.520793i
\(509\) 5.13854 + 12.8354i 0.227762 + 0.568921i 0.997594 0.0693249i \(-0.0220845\pi\)
−0.769833 + 0.638246i \(0.779660\pi\)
\(510\) −14.3179 27.3852i −0.634006 1.21264i
\(511\) −21.4782 + 24.1326i −0.950141 + 1.06756i
\(512\) 0.909632 0.415415i 0.0402004 0.0183589i
\(513\) 2.95933 3.21279i 0.130657 0.141848i
\(514\) −11.7821 4.71683i −0.519685 0.208050i
\(515\) −25.6503 26.9012i −1.13029 1.18541i
\(516\) −13.2185 + 11.5876i −0.581913 + 0.510116i
\(517\) −0.000588720 0 0.000916066i −2.58919e−5 0 4.02885e-5i
\(518\) −14.1379 0.187608i −0.621184 0.00824300i
\(519\) 2.22960 + 11.2208i 0.0978687 + 0.492540i
\(520\) 17.0715 4.14149i 0.748633 0.181616i
\(521\) 3.50351 + 1.40259i 0.153491 + 0.0614487i 0.447136 0.894466i \(-0.352444\pi\)
−0.293645 + 0.955915i \(0.594868\pi\)
\(522\) −10.6731 22.6774i −0.467150 0.992562i
\(523\) 1.23139 + 0.876870i 0.0538450 + 0.0383429i 0.606663 0.794959i \(-0.292508\pi\)
−0.552818 + 0.833302i \(0.686447\pi\)
\(524\) −2.86239 9.74842i −0.125044 0.425862i
\(525\) 9.92284 + 17.4894i 0.433068 + 0.763298i
\(526\) −3.95645 0.568852i −0.172509 0.0248031i
\(527\) −50.3949 25.9804i −2.19524 1.13172i
\(528\) 1.60895 0.654879i 0.0700204 0.0285000i
\(529\) −21.8747 + 7.10623i −0.951073 + 0.308966i
\(530\) 0.912518 0.526842i 0.0396372 0.0228846i
\(531\) −14.7074 + 15.7840i −0.638245 + 0.684967i
\(532\) −1.79441 1.31402i −0.0777976 0.0569701i
\(533\) 30.0581 + 13.7271i 1.30196 + 0.594585i
\(534\) −1.37224 + 0.205355i −0.0593826 + 0.00888658i
\(535\) 29.8950 + 2.85463i 1.29247 + 0.123416i
\(536\) 7.18971 1.38570i 0.310548 0.0598532i
\(537\) −0.244819 42.5958i −0.0105647 1.83815i
\(538\) 10.2310 + 3.00409i 0.441090 + 0.129516i
\(539\) −4.22259 + 5.60864i −0.181880 + 0.241581i
\(540\) −13.2431 + 8.83713i −0.569893 + 0.380290i
\(541\) 1.62252 34.0609i 0.0697576 1.46439i −0.644551 0.764561i \(-0.722956\pi\)
0.714309 0.699831i \(-0.246741\pi\)
\(542\) −25.3225 + 8.76419i −1.08769 + 0.376454i
\(543\) −1.78800 17.6520i −0.0767303 0.757520i
\(544\) −3.59952 4.57716i −0.154328 0.196244i
\(545\) 35.4688 30.7338i 1.51931 1.31649i
\(546\) −19.7260 17.3541i −0.844193 0.742688i
\(547\) 8.86201 2.60212i 0.378912 0.111259i −0.0867298 0.996232i \(-0.527642\pi\)
0.465642 + 0.884973i \(0.345824\pi\)
\(548\) −18.5964 + 1.77574i −0.794398 + 0.0758558i
\(549\) −16.4107 7.26772i −0.700392 0.310179i
\(550\) −4.39582 + 0.209399i −0.187438 + 0.00892879i
\(551\) −3.51151 6.08211i −0.149595 0.259106i
\(552\) 7.10924 4.29635i 0.302590 0.182865i
\(553\) −22.5449 + 0.774288i −0.958705 + 0.0329261i
\(554\) 3.38453 + 5.26643i 0.143795 + 0.223749i
\(555\) −7.83367 + 27.2576i −0.332521 + 1.15702i
\(556\) −0.574502 0.806775i −0.0243643 0.0342149i
\(557\) 4.39492 18.1161i 0.186219 0.767604i −0.799703 0.600396i \(-0.795010\pi\)
0.985922 0.167208i \(-0.0534751\pi\)
\(558\) −10.5441 + 27.2413i −0.446368 + 1.15322i
\(559\) −43.9745 + 38.1041i −1.85992 + 1.61163i
\(560\) 5.22689 + 6.19640i 0.220876 + 0.261846i
\(561\) −5.91463 8.20571i −0.249716 0.346445i
\(562\) 5.67958 29.4685i 0.239579 1.24305i
\(563\) 15.8670 8.18002i 0.668716 0.344747i −0.0902113 0.995923i \(-0.528754\pi\)
0.758927 + 0.651176i \(0.225724\pi\)
\(564\) 0.000345283 0.00184861i 1.45391e−5 7.78406e-5i
\(565\) 12.4684 + 2.40310i 0.524551 + 0.101099i
\(566\) 21.3162 + 6.25900i 0.895986 + 0.263085i
\(567\) 22.1911 + 8.63464i 0.931937 + 0.362621i
\(568\) 6.04214 + 6.97300i 0.253522 + 0.292580i
\(569\) −16.5256 + 23.2069i −0.692788 + 0.972884i 0.306988 + 0.951713i \(0.400679\pi\)
−0.999776 + 0.0211708i \(0.993261\pi\)
\(570\) −3.49081 + 2.77783i −0.146214 + 0.116350i
\(571\) 17.5617 12.5057i 0.734936 0.523346i −0.150213 0.988654i \(-0.547996\pi\)
0.885149 + 0.465308i \(0.154056\pi\)
\(572\) 5.33816 2.13708i 0.223200 0.0893556i
\(573\) −40.7836 3.65795i −1.70376 0.152813i
\(574\) 0.523409 + 15.2400i 0.0218467 + 0.636106i
\(575\) −20.6048 + 4.27671i −0.859280 + 0.178351i
\(576\) −2.14726 + 2.09506i −0.0894693 + 0.0872941i
\(577\) −1.06077 22.2683i −0.0441603 0.927039i −0.906888 0.421371i \(-0.861549\pi\)
0.862728 0.505668i \(-0.168754\pi\)
\(578\) −10.4512 + 13.2897i −0.434711 + 0.552780i
\(579\) 9.71693 + 6.16607i 0.403822 + 0.256253i
\(580\) 7.21180 + 24.5611i 0.299454 + 1.01985i
\(581\) 0.824557 13.5297i 0.0342084 0.561306i
\(582\) 0.00771298 + 0.144443i 0.000319713 + 0.00598737i
\(583\) 0.271110 0.213203i 0.0112282 0.00882997i
\(584\) 8.42630 + 8.83725i 0.348683 + 0.365688i
\(585\) −44.0036 + 28.9994i −1.81932 + 1.19898i
\(586\) 22.9838 + 1.09485i 0.949452 + 0.0452280i
\(587\) −10.1748 + 15.8323i −0.419959 + 0.653469i −0.985191 0.171463i \(-0.945150\pi\)
0.565231 + 0.824932i \(0.308787\pi\)
\(588\) 3.10276 11.7206i 0.127956 0.483350i
\(589\) −2.30601 + 7.85355i −0.0950175 + 0.323600i
\(590\) 17.3200 13.6206i 0.713054 0.560752i
\(591\) −14.2357 + 28.0074i −0.585577 + 1.15207i
\(592\) −0.507989 + 5.31990i −0.0208782 + 0.218646i
\(593\) −3.88488 + 4.07435i −0.159533 + 0.167313i −0.798649 0.601797i \(-0.794452\pi\)
0.639116 + 0.769110i \(0.279300\pi\)
\(594\) −3.87905 + 3.48011i −0.159159 + 0.142790i
\(595\) 27.8888 38.0846i 1.14333 1.56132i
\(596\) 19.0359 12.2336i 0.779740 0.501108i
\(597\) 22.5216 + 3.10610i 0.921746 + 0.127124i
\(598\) 23.6137 14.0859i 0.965637 0.576016i
\(599\) 19.2971 + 11.1412i 0.788459 + 0.455217i 0.839420 0.543483i \(-0.182895\pi\)
−0.0509606 + 0.998701i \(0.516228\pi\)
\(600\) 6.89512 3.19691i 0.281492 0.130513i
\(601\) −1.73102 + 12.0395i −0.0706099 + 0.491103i 0.923575 + 0.383418i \(0.125253\pi\)
−0.994185 + 0.107685i \(0.965656\pi\)
\(602\) −24.7935 10.3096i −1.01051 0.420188i
\(603\) −18.8957 + 11.2010i −0.769492 + 0.456139i
\(604\) 4.81118 6.75636i 0.195764 0.274912i
\(605\) 30.0685 5.79522i 1.22246 0.235609i
\(606\) −6.84525 11.7005i −0.278069 0.475301i
\(607\) 2.03258 + 8.37840i 0.0824998 + 0.340069i 0.998071 0.0620879i \(-0.0197759\pi\)
−0.915571 + 0.402157i \(0.868261\pi\)
\(608\) −0.550493 + 0.635303i −0.0223254 + 0.0257649i
\(609\) 23.8920 29.9153i 0.968152 1.21223i
\(610\) 15.4208 + 9.91037i 0.624371 + 0.401259i
\(611\) 0.00117808 0.00611244i 4.76598e−5 0.000247283i
\(612\) 14.8034 + 9.27485i 0.598390 + 0.374914i
\(613\) −7.44523 + 18.5973i −0.300710 + 0.751137i 0.698653 + 0.715460i \(0.253783\pi\)
−0.999363 + 0.0356770i \(0.988641\pi\)
\(614\) −21.8562 7.56449i −0.882043 0.305278i
\(615\) 29.7659 + 7.04024i 1.20028 + 0.283890i
\(616\) 1.98214 + 1.76412i 0.0798627 + 0.0710785i
\(617\) 9.04520 19.8062i 0.364146 0.797368i −0.635534 0.772073i \(-0.719220\pi\)
0.999680 0.0252956i \(-0.00805270\pi\)
\(618\) 20.1946 + 5.80380i 0.812345 + 0.233463i
\(619\) 5.10602 0.243230i 0.205228 0.00977623i 0.0552840 0.998471i \(-0.482394\pi\)
0.149944 + 0.988694i \(0.452091\pi\)
\(620\) 14.9169 25.8367i 0.599075 1.03763i
\(621\) −15.7179 + 19.3377i −0.630737 + 0.775997i
\(622\) 1.85786 0.0744934
\(623\) −1.20640 1.74263i −0.0483333 0.0698171i
\(624\) −7.14741 + 6.89390i −0.286125 + 0.275977i
\(625\) 27.5602 2.63168i 1.10241 0.105267i
\(626\) −0.794527 + 3.27508i −0.0317557 + 0.130899i
\(627\) −1.00161 + 1.06262i −0.0400004 + 0.0424369i
\(628\) −2.74154 0.948855i −0.109399 0.0378635i
\(629\) 30.8017 4.42862i 1.22815 0.176581i
\(630\) −21.0398 12.1971i −0.838245 0.485946i
\(631\) 26.0487 + 22.5713i 1.03698 + 0.898551i 0.994931 0.100564i \(-0.0320648\pi\)
0.0420527 + 0.999115i \(0.486610\pi\)
\(632\) −0.405692 + 8.51652i −0.0161376 + 0.338769i
\(633\) −27.9994 5.22971i −1.11287 0.207862i
\(634\) −3.46311 10.0060i −0.137538 0.397389i
\(635\) 8.48873 + 34.9910i 0.336865 + 1.38858i
\(636\) −0.294852 + 0.517545i −0.0116916 + 0.0205220i
\(637\) 10.4933 38.7368i 0.415759 1.53481i
\(638\) 3.48074 + 7.62175i 0.137804 + 0.301748i
\(639\) −24.1289 13.5634i −0.954525 0.536561i
\(640\) 2.49584 1.77728i 0.0986569 0.0702533i
\(641\) −7.21279 5.67220i −0.284888 0.224038i 0.465481 0.885058i \(-0.345882\pi\)
−0.750368 + 0.661020i \(0.770124\pi\)
\(642\) −15.4014 + 7.14087i −0.607846 + 0.281827i
\(643\) 31.7017i 1.25019i −0.780548 0.625096i \(-0.785060\pi\)
0.780548 0.625096i \(-0.214940\pi\)
\(644\) 10.6811 + 6.84945i 0.420893 + 0.269906i
\(645\) −33.0502 + 42.5275i −1.30135 + 1.67452i
\(646\) 4.35079 + 2.24299i 0.171180 + 0.0882492i
\(647\) −0.763667 + 0.971082i −0.0300229 + 0.0381772i −0.800833 0.598888i \(-0.795609\pi\)
0.770810 + 0.637065i \(0.219852\pi\)
\(648\) 3.93906 8.09221i 0.154741 0.317892i
\(649\) 4.97712 5.21985i 0.195369 0.204897i
\(650\) 22.8840 10.4508i 0.897585 0.409913i
\(651\) −44.4487 + 3.90720i −1.74208 + 0.153135i
\(652\) −2.22934 15.5054i −0.0873076 0.607237i
\(653\) 5.61996 1.36339i 0.219926 0.0533535i −0.124282 0.992247i \(-0.539663\pi\)
0.344208 + 0.938893i \(0.388147\pi\)
\(654\) −8.53299 + 25.1206i −0.333666 + 0.982295i
\(655\) −14.2646 27.6694i −0.557363 1.08113i
\(656\) 5.75706 + 0.274242i 0.224775 + 0.0107074i
\(657\) −32.7505 16.4103i −1.27772 0.640228i
\(658\) 0.00276677 0.000772672i 0.000107860 3.01219e-5i
\(659\) −5.28744 36.7750i −0.205970 1.43255i −0.786137 0.618052i \(-0.787922\pi\)
0.580167 0.814497i \(-0.302987\pi\)
\(660\) 4.46095 2.90324i 0.173642 0.113009i
\(661\) 2.75488 28.8504i 0.107152 1.12215i −0.768713 0.639594i \(-0.779103\pi\)
0.875865 0.482556i \(-0.160291\pi\)
\(662\) −11.1349 2.70130i −0.432771 0.104989i
\(663\) 48.8235 + 30.9819i 1.89615 + 1.20324i
\(664\) −5.07109 0.729112i −0.196796 0.0282950i
\(665\) −6.16063 2.91287i −0.238899 0.112956i
\(666\) −3.95860 15.5359i −0.153392 0.602004i
\(667\) 22.1400 + 33.3942i 0.857262 + 1.29303i
\(668\) −1.08083 0.624020i −0.0418187 0.0241441i
\(669\) 16.0060 22.7529i 0.618826 0.879676i
\(670\) 20.8275 8.33808i 0.804637 0.322128i
\(671\) 5.45795 + 2.49256i 0.210702 + 0.0962242i
\(672\) −4.31914 1.53134i −0.166615 0.0590729i
\(673\) −19.2359 42.1208i −0.741491 1.62364i −0.781087 0.624422i \(-0.785334\pi\)
0.0395964 0.999216i \(-0.487393\pi\)
\(674\) 8.21727 23.7422i 0.316517 0.914517i
\(675\) −16.2278 + 16.0164i −0.624609 + 0.616470i
\(676\) −14.3809 + 13.7122i −0.553112 + 0.527392i
\(677\) 30.2886 + 5.83764i 1.16408 + 0.224359i 0.734462 0.678650i \(-0.237435\pi\)
0.429622 + 0.903009i \(0.358647\pi\)
\(678\) −6.76967 + 2.38666i −0.259988 + 0.0916592i
\(679\) −0.192802 + 0.107929i −0.00739906 + 0.00414193i
\(680\) −13.4837 11.6837i −0.517075 0.448048i
\(681\) −3.80824 + 8.46733i −0.145932 + 0.324469i
\(682\) 3.62943 9.06588i 0.138978 0.347150i
\(683\) −4.06779 21.1057i −0.155650 0.807586i −0.972886 0.231284i \(-0.925707\pi\)
0.817237 0.576302i \(-0.195505\pi\)
\(684\) 0.910314 2.35185i 0.0348067 0.0899252i
\(685\) −54.9196 + 16.1258i −2.09837 + 0.616137i
\(686\) 18.1577 3.64659i 0.693265 0.139227i
\(687\) 14.2867 + 14.8121i 0.545073 + 0.565117i
\(688\) −4.65051 + 9.02073i −0.177299 + 0.343912i
\(689\) −0.985820 + 1.70749i −0.0375568 + 0.0650502i
\(690\) 18.8976 17.0484i 0.719421 0.649023i
\(691\) −10.0227 17.3598i −0.381281 0.660399i 0.609964 0.792429i \(-0.291184\pi\)
−0.991246 + 0.132030i \(0.957850\pi\)
\(692\) 3.57094 + 5.55649i 0.135747 + 0.211226i
\(693\) −7.38498 2.97171i −0.280532 0.112886i
\(694\) −7.61619 + 16.6771i −0.289107 + 0.633055i
\(695\) −2.19627 2.09414i −0.0833093 0.0794352i
\(696\) −10.5300 9.92538i −0.399137 0.376221i
\(697\) −6.35149 32.9547i −0.240580 1.24825i
\(698\) 10.8717 + 13.8245i 0.411501 + 0.523266i
\(699\) −0.502946 + 0.362521i −0.0190232 + 0.0137118i
\(700\) 9.02964 + 7.29696i 0.341288 + 0.275799i
\(701\) −34.5446 22.2005i −1.30473 0.838501i −0.311013 0.950406i \(-0.600668\pi\)
−0.993719 + 0.111905i \(0.964305\pi\)
\(702\) 13.1924 26.7107i 0.497917 1.00813i
\(703\) −1.46932 4.24531i −0.0554163 0.160115i
\(704\) 0.725851 0.692097i 0.0273565 0.0260844i
\(705\) −3.31168e−5 0.00576197i −1.24725e−6 0.000217008i
\(706\) −3.68395 4.25151i −0.138647 0.160008i
\(707\) 11.4251 17.2696i 0.429685 0.649490i
\(708\) −4.56282 + 11.5900i −0.171481 + 0.435578i
\(709\) 0.190206 + 1.99193i 0.00714335 + 0.0748085i 0.998341 0.0575847i \(-0.0183399\pi\)
−0.991197 + 0.132393i \(0.957734\pi\)
\(710\) 22.2218 + 17.4754i 0.833969 + 0.655841i
\(711\) −7.48794 24.4580i −0.280820 0.917246i
\(712\) −0.693760 + 0.400543i −0.0259998 + 0.0150110i
\(713\) 10.3612 45.5326i 0.388031 1.70521i
\(714\) −2.73622 + 26.5435i −0.102400 + 0.993366i
\(715\) 14.8212 9.52502i 0.554282 0.356216i
\(716\) −9.14034 22.8315i −0.341591 0.853252i
\(717\) 16.2600 + 0.680917i 0.607239 + 0.0254293i
\(718\) 26.7209 + 6.48243i 0.997216 + 0.241922i
\(719\) 21.5460 + 15.3428i 0.803530 + 0.572191i 0.906359 0.422508i \(-0.138850\pi\)
−0.102829 + 0.994699i \(0.532790\pi\)
\(720\) −5.24543 + 7.54833i −0.195486 + 0.281309i
\(721\) 5.65557 + 31.5942i 0.210624 + 1.17663i
\(722\) −5.15383 + 17.5523i −0.191806 + 0.653230i
\(723\) −18.2352 + 15.9853i −0.678175 + 0.594501i
\(724\) −4.69386 9.10482i −0.174446 0.338378i
\(725\) 16.7983 + 32.5841i 0.623872 + 1.21014i
\(726\) −13.0169 + 11.4109i −0.483104 + 0.423497i
\(727\) −7.59901 + 25.8799i −0.281832 + 0.959831i 0.689932 + 0.723874i \(0.257640\pi\)
−0.971764 + 0.235957i \(0.924178\pi\)
\(728\) −14.2675 5.15100i −0.528787 0.190909i
\(729\) −2.91879 + 26.8418i −0.108104 + 0.994140i
\(730\) 30.4758 + 21.7017i 1.12796 + 0.803218i
\(731\) 57.4310 + 13.9326i 2.12416 + 0.515316i
\(732\) −10.3532 0.433561i −0.382666 0.0160249i
\(733\) 7.85079 + 19.6103i 0.289975 + 0.724324i 0.999801 + 0.0199461i \(0.00634948\pi\)
−0.709826 + 0.704377i \(0.751226\pi\)
\(734\) −4.30978 + 2.76973i −0.159077 + 0.102233i
\(735\) 2.53865 37.0619i 0.0936394 1.36705i
\(736\) 2.91055 3.81165i 0.107284 0.140499i
\(737\) 6.35961 3.67172i 0.234259 0.135250i
\(738\) −16.5333 + 5.06175i −0.608598 + 0.186325i
\(739\) −29.1168 22.8977i −1.07108 0.842305i −0.0830451 0.996546i \(-0.526465\pi\)
−0.988033 + 0.154240i \(0.950707\pi\)
\(740\) 1.55647 + 16.3001i 0.0572169 + 0.599202i
\(741\) 3.05793 7.76743i 0.112336 0.285344i
\(742\) −0.908174 0.0553479i −0.0333401 0.00203189i
\(743\) −1.67654 1.93483i −0.0615063 0.0709820i 0.724163 0.689629i \(-0.242226\pi\)
−0.785669 + 0.618647i \(0.787681\pi\)
\(744\) 0.0969287 + 16.8646i 0.00355358 + 0.618284i
\(745\) 50.1777 47.8443i 1.83837 1.75288i
\(746\) −5.95854 17.2161i −0.218158 0.630325i
\(747\) 15.0575 3.08202i 0.550926 0.112765i
\(748\) −4.91292 3.15734i −0.179634 0.115444i
\(749\) −20.1693 16.2990i −0.736969 0.595554i
\(750\) −2.63488 + 1.89921i −0.0962124 + 0.0693493i
\(751\) −26.0349 33.1061i −0.950028 1.20806i −0.978033 0.208451i \(-0.933158\pi\)
0.0280049 0.999608i \(-0.491085\pi\)
\(752\) −0.000205480 0.00106613i −7.49310e−6 3.88779e-5i
\(753\) −13.1438 12.3891i −0.478987 0.451486i
\(754\) −34.6659 33.0539i −1.26246 1.20375i
\(755\) 10.5572 23.1171i 0.384216 0.841317i
\(756\) 13.7476 0.0546224i 0.499996 0.00198660i
\(757\) 26.7021 + 41.5493i 0.970505 + 1.51014i 0.856171 + 0.516693i \(0.172837\pi\)
0.114334 + 0.993442i \(0.463526\pi\)
\(758\) 6.91856 + 11.9833i 0.251293 + 0.435253i
\(759\) 5.32858 6.40394i 0.193415 0.232448i
\(760\) −1.28783 + 2.23059i −0.0467145 + 0.0809119i
\(761\) 20.8413 40.4265i 0.755497 1.46546i −0.125376 0.992109i \(-0.540014\pi\)
0.880874 0.473351i \(-0.156956\pi\)
\(762\) −14.1303 14.6499i −0.511886 0.530710i
\(763\) −40.1863 + 5.23466i −1.45484 + 0.189507i
\(764\) −22.6833 + 6.66043i −0.820654 + 0.240966i
\(765\) 49.9157 + 19.3205i 1.80470 + 0.698534i
\(766\) −1.03556 5.37300i −0.0374164 0.194135i
\(767\) −15.3237 + 38.2766i −0.553305 + 1.38209i
\(768\) −0.710453 + 1.57964i −0.0256363 + 0.0570003i
\(769\) −33.9909 29.4533i −1.22574 1.06211i −0.996045 0.0888523i \(-0.971680\pi\)
−0.229700 0.973262i \(-0.573774\pi\)
\(770\) 6.98643 + 4.15819i 0.251774 + 0.149851i
\(771\) 20.7311 7.30879i 0.746612 0.263220i
\(772\) 6.52420 + 1.25744i 0.234811 + 0.0452561i
\(773\) −7.54630 + 7.19539i −0.271422 + 0.258800i −0.813549 0.581496i \(-0.802467\pi\)
0.542127 + 0.840296i \(0.317619\pi\)
\(774\) 3.98633 30.1847i 0.143286 1.08497i
\(775\) 13.9741 40.3754i 0.501964 1.45033i
\(776\) 0.0346926 + 0.0759663i 0.00124539 + 0.00272703i
\(777\) 18.6282 15.8977i 0.668283 0.570327i
\(778\) −6.62201 3.02417i −0.237410 0.108422i
\(779\) −4.49796 + 1.80071i −0.161156 + 0.0645172i
\(780\) −17.5063 + 24.8856i −0.626825 + 0.891046i
\(781\) 8.01384 + 4.62679i 0.286758 + 0.165560i
\(782\) −25.5651 11.2376i −0.914206 0.401857i
\(783\) 39.7933 + 17.3502i 1.42210 + 0.620045i
\(784\) −0.811999 6.95274i −0.0290000 0.248312i
\(785\) −8.79842 1.26502i −0.314029 0.0451506i
\(786\) 14.8585 + 9.42873i 0.529984 + 0.336312i
\(787\) −36.2826 8.80206i −1.29333 0.313760i −0.470681 0.882303i \(-0.655992\pi\)
−0.822653 + 0.568544i \(0.807507\pi\)
\(788\) −1.72422 + 18.0569i −0.0614228 + 0.643249i
\(789\) 5.80259 3.77640i 0.206578 0.134443i
\(790\) 3.71784 + 25.8581i 0.132275 + 0.919991i
\(791\) −7.83441 7.67111i −0.278559 0.272753i
\(792\) −1.34787 + 2.68998i −0.0478944 + 0.0955841i
\(793\) −34.2615 1.63207i −1.21666 0.0579567i
\(794\) 6.61550 + 12.8323i 0.234775 + 0.455400i
\(795\) −0.586989 + 1.72806i −0.0208183 + 0.0612881i
\(796\) 12.7559 3.09455i 0.452121 0.109683i
\(797\) −5.21873 36.2970i −0.184857 1.28571i −0.845081 0.534639i \(-0.820448\pi\)
0.660224 0.751069i \(-0.270461\pi\)
\(798\) 3.83744 0.337324i 0.135844 0.0119411i
\(799\) −0.00575097 + 0.00262638i −0.000203455 + 9.29147e-5i
\(800\) 3.02805 3.17572i 0.107058 0.112279i
\(801\) 1.55282 1.83423i 0.0548661 0.0648093i
\(802\) −8.13772 + 10.3480i −0.287353 + 0.365399i
\(803\) 10.8850 + 5.61160i 0.384123 + 0.198029i
\(804\) −7.78214 + 10.0137i −0.274455 + 0.353156i
\(805\) 36.1069 + 14.4138i 1.27260 + 0.508019i
\(806\) 55.8244i 1.96633i
\(807\) −16.7554 + 7.76862i −0.589817 + 0.273468i
\(808\) −6.15200 4.83798i −0.216426 0.170200i
\(809\) 3.31215 2.35857i 0.116449 0.0829230i −0.520349 0.853954i \(-0.674198\pi\)
0.636798 + 0.771031i \(0.280259\pi\)
\(810\) 7.15873 26.6304i 0.251532 0.935697i
\(811\) −3.66608 8.02760i −0.128734 0.281887i 0.834280 0.551342i \(-0.185884\pi\)
−0.963013 + 0.269454i \(0.913157\pi\)
\(812\) 6.50826 21.1241i 0.228395 0.741310i
\(813\) 22.9748 40.3271i 0.805762 1.41433i
\(814\) 1.26360 + 5.20864i 0.0442893 + 0.182563i
\(815\) −15.6982 45.3569i −0.549883 1.58878i
\(816\) 9.91422 + 1.85178i 0.347067 + 0.0648251i
\(817\) 0.405943 8.52179i 0.0142021 0.298140i
\(818\) −21.0504 18.2403i −0.736009 0.637756i
\(819\) 45.5064 + 0.0807382i 1.59012 + 0.00282122i
\(820\) 17.4798 2.51321i 0.610420 0.0877651i
\(821\) −48.4144 16.7564i −1.68967 0.584802i −0.698293 0.715812i \(-0.746057\pi\)
−0.991381 + 0.131010i \(0.958178\pi\)
\(822\) 22.1935 23.5454i 0.774088 0.821239i
\(823\) −4.99340 + 20.5831i −0.174059 + 0.717481i 0.816144 + 0.577848i \(0.196107\pi\)
−0.990203 + 0.139633i \(0.955408\pi\)
\(824\) 12.0764 1.15315i 0.420700 0.0401720i
\(825\) 5.48628 5.29169i 0.191008 0.184233i
\(826\) −18.9627 + 1.55712i −0.659797 + 0.0541790i
\(827\) 8.64015 0.300447 0.150224 0.988652i \(-0.452001\pi\)
0.150224 + 0.988652i \(0.452001\pi\)
\(828\) −4.35409 + 13.7128i −0.151315 + 0.476554i
\(829\) 4.31523 7.47420i 0.149874 0.259590i −0.781307 0.624147i \(-0.785446\pi\)
0.931181 + 0.364558i \(0.118780\pi\)
\(830\) −15.6797 + 0.746916i −0.544250 + 0.0259258i
\(831\) −10.4212 2.99499i −0.361507 0.103895i
\(832\) −2.38169 + 5.21517i −0.0825702 + 0.180804i
\(833\) −38.2296 + 14.1398i −1.32458 + 0.489915i
\(834\) 1.66940 + 0.394848i 0.0578068 + 0.0136725i
\(835\) −3.61365 1.25070i −0.125056 0.0432822i
\(836\) −0.313343 + 0.782693i −0.0108372 + 0.0270700i
\(837\) −17.3697 47.5194i −0.600385 1.64251i
\(838\) 0.354938 1.84159i 0.0122611 0.0636168i
\(839\) 27.3246 + 17.5605i 0.943350 + 0.606254i 0.919343 0.393458i \(-0.128721\pi\)
0.0240072 + 0.999712i \(0.492358\pi\)
\(840\) −13.8826 2.10271i −0.478994 0.0725504i
\(841\) 26.7168 30.8329i 0.921270 1.06320i
\(842\) −1.53318 6.31985i −0.0528369 0.217797i
\(843\) 26.2484 + 44.8661i 0.904044 + 1.54527i
\(844\) −16.1478 + 3.11224i −0.555831 + 0.107128i
\(845\) −35.3154 + 49.5936i −1.21489 + 1.70607i
\(846\) 0.00166095 + 0.00280197i 5.71046e−5 + 9.63336e-5i
\(847\) −24.4154 10.1524i −0.838922 0.348839i
\(848\) −0.0489413 + 0.340394i −0.00168065 + 0.0116892i
\(849\) −34.9097 + 16.1858i −1.19810 + 0.555496i
\(850\) −22.1278 12.7755i −0.758978 0.438196i
\(851\) 9.86364 + 23.6553i 0.338121 + 0.810894i
\(852\) −15.8311 2.18337i −0.542364 0.0748011i
\(853\) 11.3594 7.30023i 0.388938 0.249955i −0.331528 0.943445i \(-0.607564\pi\)
0.720466 + 0.693490i \(0.243928\pi\)
\(854\) −6.38384 14.4842i −0.218450 0.495640i
\(855\) 1.37503 7.60365i 0.0470251 0.260040i
\(856\) −6.76367 + 7.09353i −0.231178 + 0.242452i
\(857\) −2.49015 + 26.0780i −0.0850618 + 0.890807i 0.847739 + 0.530414i \(0.177964\pi\)
−0.932800 + 0.360393i \(0.882643\pi\)
\(858\) −4.51269 + 8.87832i −0.154061 + 0.303101i
\(859\) 8.49395 6.67972i 0.289810 0.227909i −0.462660 0.886536i \(-0.653105\pi\)
0.752470 + 0.658627i \(0.228862\pi\)
\(860\) −8.76079 + 29.8365i −0.298740 + 1.01742i
\(861\) −18.0821 19.2519i −0.616237 0.656102i
\(862\) 2.27987 3.54754i 0.0776525 0.120830i
\(863\) −21.1167 1.00591i −0.718822 0.0342417i −0.315016 0.949086i \(-0.602010\pi\)
−0.403806 + 0.914845i \(0.632313\pi\)
\(864\) 0.404669 5.18037i 0.0137671 0.176240i
\(865\) 13.9656 + 14.6467i 0.474843 + 0.498001i
\(866\) 23.8396 18.7476i 0.810102 0.637071i
\(867\) −1.56146 29.2420i −0.0530300 0.993109i
\(868\) −23.0523 + 11.4997i −0.782446 + 0.390326i
\(869\) 2.40913 + 8.20474i 0.0817241 + 0.278327i
\(870\) −37.4359 23.7557i −1.26920 0.805393i
\(871\) −25.9498 + 32.9979i −0.879276 + 1.11809i
\(872\) 0.728826 + 15.2999i 0.0246812 + 0.518122i
\(873\) −0.174965 0.179325i −0.00592167 0.00606922i
\(874\) −0.894525 + 3.93101i −0.0302578 + 0.132968i
\(875\) −4.37934 2.33177i −0.148049 0.0788283i
\(876\) −21.0649 1.88935i −0.711716 0.0638351i
\(877\) 31.0864 12.4451i 1.04971 0.420241i 0.218291 0.975884i \(-0.429952\pi\)
0.831421 + 0.555642i \(0.187528\pi\)
\(878\) 17.9399 12.7750i 0.605444 0.431134i
\(879\) −31.1855 + 24.8159i −1.05186 + 0.837020i
\(880\) 1.78248 2.50314i 0.0600874 0.0843810i
\(881\) 17.5545 + 20.2589i 0.591425 + 0.682540i 0.970021 0.243022i \(-0.0781386\pi\)
−0.378596 + 0.925562i \(0.623593\pi\)
\(882\) 9.34089 + 18.8082i 0.314524 + 0.633305i
\(883\) 48.1455 + 14.1368i 1.62023 + 0.475741i 0.961079 0.276273i \(-0.0890996\pi\)
0.659146 + 0.752015i \(0.270918\pi\)
\(884\) 32.7814 + 6.31809i 1.10256 + 0.212500i
\(885\) −7.00714 + 37.5155i −0.235543 + 1.26107i
\(886\) −26.8695 + 13.8522i −0.902699 + 0.465374i
\(887\) 9.26836 48.0888i 0.311201 1.61466i −0.403326 0.915056i \(-0.632146\pi\)
0.714527 0.699608i \(-0.246642\pi\)
\(888\) −5.41240 7.50893i −0.181628 0.251983i
\(889\) 10.5579 29.2437i 0.354101 0.980803i
\(890\) −1.85499 + 1.60736i −0.0621795 + 0.0538789i
\(891\) 1.07886 8.96162i 0.0361431 0.300225i
\(892\) 3.78656 15.6084i 0.126783 0.522609i
\(893\) 0.000529426 0 0.000743475i 1.77166e−5 0 2.48794e-5i
\(894\) −10.8256 + 37.6681i −0.362062 + 1.25981i
\(895\) −40.7388 63.3908i −1.36175 2.11892i
\(896\) −2.64419 + 0.0908130i −0.0883363 + 0.00303385i
\(897\) −14.6732 + 45.3074i −0.489922 + 1.51277i
\(898\) −6.29305 10.8999i −0.210002 0.363734i
\(899\) −81.2549 + 3.87065i −2.71000 + 0.129093i
\(900\) −5.33049 + 12.0364i −0.177683 + 0.401213i
\(901\) 1.99342 0.190348i 0.0664103 0.00634142i
\(902\) 5.54629 1.62854i 0.184671 0.0542244i
\(903\) 44.0635 14.8803i 1.46634 0.495187i
\(904\) −3.13202 + 2.71391i −0.104169 + 0.0902633i
\(905\) −19.4015 24.6710i −0.644929 0.820093i
\(906\) 1.44777 + 14.2931i 0.0480988 + 0.474855i
\(907\) 4.58846 1.58808i 0.152357 0.0527313i −0.249825 0.968291i \(-0.580373\pi\)
0.402182 + 0.915560i \(0.368252\pi\)
\(908\) −0.255053 + 5.35423i −0.00846424 + 0.177686i
\(909\) 22.2748 + 7.42378i 0.738808 + 0.246231i
\(910\) −45.9121 7.22419i −1.52197 0.239480i
\(911\) 8.03504 + 2.35930i 0.266213 + 0.0781672i 0.412115 0.911132i \(-0.364790\pi\)
−0.145902 + 0.989299i \(0.546608\pi\)
\(912\) −0.00836823 1.45598i −0.000277100 0.0482124i
\(913\) −5.04536 + 0.972414i −0.166977 + 0.0321822i
\(914\) −6.64050 0.634091i −0.219648 0.0209739i
\(915\) −31.4002 + 4.69902i −1.03806 + 0.155345i
\(916\) 10.8078 + 4.93575i 0.357099 + 0.163082i
\(917\) −2.91001 + 26.7228i −0.0960970 + 0.882464i
\(918\) −29.8703 + 4.82174i −0.985868 + 0.159141i
\(919\) −15.6670 + 9.04537i −0.516808 + 0.298379i −0.735628 0.677386i \(-0.763113\pi\)
0.218820 + 0.975765i \(0.429779\pi\)
\(920\) 6.54649 13.1555i 0.215831 0.433723i
\(921\) 37.1035 15.1020i 1.22260 0.497628i
\(922\) −7.57423 3.90479i −0.249444 0.128597i
\(923\) −52.3602 7.52826i −1.72346 0.247796i
\(924\) −4.59585 0.0345689i −0.151192 0.00113723i
\(925\) 6.60656 + 22.4999i 0.217222 + 0.739791i
\(926\) 13.7433 + 9.78655i 0.451632 + 0.321606i
\(927\) −32.9291 + 15.4981i −1.08153 + 0.509024i
\(928\) −7.75605 3.10505i −0.254605 0.101928i
\(929\) −0.929396 + 0.225469i −0.0304925 + 0.00739740i −0.250976 0.967993i \(-0.580752\pi\)
0.220484 + 0.975391i \(0.429236\pi\)
\(930\) 10.0707 + 50.6826i 0.330232 + 1.66195i
\(931\) 3.04886 + 5.03293i 0.0999224 + 0.164948i
\(932\) −0.193520 + 0.301123i −0.00633896 + 0.00986362i
\(933\) −2.41978 + 2.12122i −0.0792200 + 0.0694457i
\(934\) −4.81197 5.04665i −0.157452 0.165131i
\(935\) −16.6119 6.65039i −0.543266 0.217491i
\(936\) 1.43803 17.1396i 0.0470035 0.560226i
\(937\) 49.3527 22.5386i 1.61228 0.736305i 0.613702 0.789538i \(-0.289680\pi\)
0.998582 + 0.0532327i \(0.0169525\pi\)
\(938\) −18.9719 3.91830i −0.619453 0.127937i
\(939\) −2.70451 5.17281i −0.0882584 0.168808i
\(940\) −0.00123642 0.00308843i −4.03276e−5 0.000100733i
\(941\) 1.99161 + 41.8089i 0.0649245 + 1.36293i 0.762763 + 0.646678i \(0.223842\pi\)
−0.697839 + 0.716255i \(0.745855\pi\)
\(942\) 4.65409 1.89433i 0.151639 0.0617205i
\(943\) 24.9771 11.8398i 0.813366 0.385556i
\(944\) 7.19136i 0.234059i
\(945\) 41.3295 8.13606i 1.34445 0.264666i
\(946\) −1.44857 + 10.0750i −0.0470970 + 0.327567i
\(947\) −2.12917 22.2977i −0.0691888 0.724578i −0.961800 0.273751i \(-0.911735\pi\)
0.892612 0.450826i \(-0.148871\pi\)
\(948\) −9.19540 11.5556i −0.298653 0.375308i
\(949\) −69.6899 6.65458i −2.26223 0.216017i
\(950\) −1.20644 + 3.48577i −0.0391420 + 0.113093i
\(951\) 15.9350 + 9.07835i 0.516727 + 0.294386i
\(952\) 4.14388 + 14.8383i 0.134304 + 0.480914i
\(953\) 19.6672 22.6972i 0.637085 0.735235i −0.341772 0.939783i \(-0.611027\pi\)
0.978857 + 0.204548i \(0.0655725\pi\)
\(954\) −0.206879 1.01073i −0.00669795 0.0327235i
\(955\) −64.3832 + 33.1918i −2.08339 + 1.07406i
\(956\) 8.87915 3.07310i 0.287172 0.0993913i
\(957\) −13.2357 5.95284i −0.427849 0.192428i
\(958\) −16.8546 + 2.42332i −0.544546 + 0.0782940i
\(959\) 47.2342 + 14.5527i 1.52527 + 0.469931i
\(960\) −1.22150 + 5.16448i −0.0394238 + 0.166683i
\(961\) 46.1797 + 44.0322i 1.48967 + 1.42039i
\(962\) −17.7725 24.9579i −0.573007 0.804676i
\(963\) 11.9066 26.8854i 0.383684 0.866369i
\(964\) −6.41547 + 12.4443i −0.206628 + 0.400803i
\(965\) 20.3579 0.655344
\(966\) −21.7320 + 3.27406i −0.699216 + 0.105341i
\(967\) −28.3972 −0.913193 −0.456596 0.889674i \(-0.650932\pi\)
−0.456596 + 0.889674i \(0.650932\pi\)
\(968\) −4.57958 + 8.88315i −0.147193 + 0.285515i
\(969\) −8.22766 + 2.04615i −0.264311 + 0.0657318i
\(970\) 0.148427 + 0.208436i 0.00476569 + 0.00669248i
\(971\) 19.2499 + 18.3547i 0.617757 + 0.589030i 0.932954 0.359996i \(-0.117222\pi\)
−0.315197 + 0.949026i \(0.602070\pi\)
\(972\) 4.10888 + 15.0372i 0.131792 + 0.482318i
\(973\) 0.583942 + 2.55452i 0.0187203 + 0.0818942i
\(974\) −0.502576 + 0.0722596i −0.0161036 + 0.00231535i
\(975\) −17.8732 + 39.7397i −0.572400 + 1.27269i
\(976\) −5.65363 + 1.95674i −0.180968 + 0.0626337i
\(977\) 10.0885 5.20100i 0.322761 0.166395i −0.289230 0.957260i \(-0.593399\pi\)
0.611991 + 0.790865i \(0.290369\pi\)
\(978\) 20.6070 + 17.6497i 0.658939 + 0.564376i
\(979\) −0.526134 + 0.607191i −0.0168153 + 0.0194059i
\(980\) −6.47462 20.4472i −0.206824 0.653163i
\(981\) −17.5678 42.4611i −0.560897 1.35568i
\(982\) 6.48400 18.7343i 0.206913 0.597835i
\(983\) −38.6901 3.69446i −1.23402 0.117835i −0.542417 0.840110i \(-0.682491\pi\)
−0.691606 + 0.722275i \(0.743097\pi\)
\(984\) −7.81143 + 6.21597i −0.249019 + 0.198158i
\(985\) 5.28298 + 55.3258i 0.168330 + 1.76283i
\(986\) −6.92333 + 48.1528i −0.220484 + 1.53350i
\(987\) −0.00272139 + 0.00416535i −8.66229e−5 + 0.000132585i
\(988\) 4.81954i 0.153330i
\(989\) 0.693725 + 48.6676i 0.0220592 + 1.54754i
\(990\) −2.49540 + 8.87466i −0.0793089 + 0.282055i
\(991\) 0.770401 + 16.1727i 0.0244726 + 0.513743i 0.977510 + 0.210890i \(0.0676361\pi\)
−0.953037 + 0.302853i \(0.902061\pi\)
\(992\) 3.61885 + 9.03944i 0.114898 + 0.287002i
\(993\) 17.5870 9.19505i 0.558106 0.291796i
\(994\) −7.67735 23.1726i −0.243511 0.734990i
\(995\) 36.5831 16.7070i 1.15976 0.529646i
\(996\) 7.43733 4.84031i 0.235661 0.153371i
\(997\) 43.4883 + 17.4101i 1.37729 + 0.551383i 0.937897 0.346913i \(-0.112770\pi\)
0.439391 + 0.898296i \(0.355194\pi\)
\(998\) −23.8093 24.9705i −0.753670 0.790426i
\(999\) 22.8941 + 15.7151i 0.724337 + 0.497203i
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 966.2.bf.a.11.13 1280
3.2 odd 2 inner 966.2.bf.a.11.33 yes 1280
7.2 even 3 inner 966.2.bf.a.149.62 yes 1280
21.2 odd 6 inner 966.2.bf.a.149.23 yes 1280
23.21 odd 22 inner 966.2.bf.a.389.23 yes 1280
69.44 even 22 inner 966.2.bf.a.389.62 yes 1280
161.44 odd 66 inner 966.2.bf.a.527.33 yes 1280
483.44 even 66 inner 966.2.bf.a.527.13 yes 1280
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
966.2.bf.a.11.13 1280 1.1 even 1 trivial
966.2.bf.a.11.33 yes 1280 3.2 odd 2 inner
966.2.bf.a.149.23 yes 1280 21.2 odd 6 inner
966.2.bf.a.149.62 yes 1280 7.2 even 3 inner
966.2.bf.a.389.23 yes 1280 23.21 odd 22 inner
966.2.bf.a.389.62 yes 1280 69.44 even 22 inner
966.2.bf.a.527.13 yes 1280 483.44 even 66 inner
966.2.bf.a.527.33 yes 1280 161.44 odd 66 inner