Properties

Label 273.2.bf.b.152.17
Level $273$
Weight $2$
Character 273.152
Analytic conductor $2.180$
Analytic rank $0$
Dimension $64$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [273,2,Mod(152,273)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(273, base_ring=CyclotomicField(6))
 
chi = DirichletCharacter(H, H._module([3, 5, 4]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("273.152");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.bf (of order \(6\), degree \(2\), 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: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(32\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 152.17
Character \(\chi\) \(=\) 273.152
Dual form 273.2.bf.b.185.17

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.0436821 - 0.0252199i) q^{2} +(-1.71783 + 0.221508i) q^{3} +(-0.998728 + 1.72985i) q^{4} +(1.19579 - 2.07117i) q^{5} +(-0.0694519 + 0.0529993i) q^{6} +(-2.29456 - 1.31719i) q^{7} +0.201631i q^{8} +(2.90187 - 0.761026i) q^{9} +O(q^{10})\) \(q+(0.0436821 - 0.0252199i) q^{2} +(-1.71783 + 0.221508i) q^{3} +(-0.998728 + 1.72985i) q^{4} +(1.19579 - 2.07117i) q^{5} +(-0.0694519 + 0.0529993i) q^{6} +(-2.29456 - 1.31719i) q^{7} +0.201631i q^{8} +(2.90187 - 0.761026i) q^{9} -0.120631i q^{10} -3.29840i q^{11} +(1.33247 - 3.19281i) q^{12} +(3.26013 + 1.53997i) q^{13} +(-0.133451 + 0.000331113i) q^{14} +(-1.59538 + 3.82279i) q^{15} +(-1.99237 - 3.45089i) q^{16} +(3.17498 - 5.49923i) q^{17} +(0.107567 - 0.106428i) q^{18} -4.97674i q^{19} +(2.38854 + 4.13707i) q^{20} +(4.23343 + 1.75444i) q^{21} +(-0.0831852 - 0.144081i) q^{22} +(-3.28198 + 1.89485i) q^{23} +(-0.0446628 - 0.346367i) q^{24} +(-0.359831 - 0.623246i) q^{25} +(0.181247 - 0.0149508i) q^{26} +(-4.81634 + 1.95010i) q^{27} +(4.57018 - 2.65373i) q^{28} +(-2.15531 - 1.24437i) q^{29} +(0.0267207 + 0.207223i) q^{30} +(4.40944 - 2.54579i) q^{31} +(-0.523296 - 0.302125i) q^{32} +(0.730623 + 5.66609i) q^{33} -0.320291i q^{34} +(-5.47194 + 3.17735i) q^{35} +(-1.58172 + 5.77985i) q^{36} +(-2.62306 - 4.54327i) q^{37} +(-0.125513 - 0.217394i) q^{38} +(-5.94147 - 1.92327i) q^{39} +(0.417611 + 0.241108i) q^{40} +(-0.726691 + 1.25866i) q^{41} +(0.229172 - 0.0301292i) q^{42} +(-0.219074 - 0.379447i) q^{43} +(5.70573 + 3.29420i) q^{44} +(1.89381 - 6.92029i) q^{45} +(-0.0955758 + 0.165542i) q^{46} +(-2.16184 + 3.74442i) q^{47} +(4.18695 + 5.48671i) q^{48} +(3.53004 + 6.04474i) q^{49} +(-0.0314364 - 0.0181498i) q^{50} +(-4.23595 + 10.1500i) q^{51} +(-5.91991 + 4.10152i) q^{52} +(-11.7501 + 6.78394i) q^{53} +(-0.161206 + 0.206652i) q^{54} +(-6.83155 - 3.94420i) q^{55} +(0.265585 - 0.462654i) q^{56} +(1.10239 + 8.54919i) q^{57} -0.125531 q^{58} +(1.41773 - 2.45559i) q^{59} +(-5.01950 - 6.57770i) q^{60} +2.84886i q^{61} +(0.128409 - 0.222411i) q^{62} +(-7.66093 - 2.07608i) q^{63} +7.93900 q^{64} +(7.08799 - 4.91081i) q^{65} +(0.174813 + 0.229080i) q^{66} +1.43904 q^{67} +(6.34189 + 10.9845i) q^{68} +(5.21815 - 3.98202i) q^{69} +(-0.158893 + 0.276795i) q^{70} +(5.14430 - 2.97006i) q^{71} +(0.153446 + 0.585105i) q^{72} +(4.79664 - 2.76934i) q^{73} +(-0.229161 - 0.132306i) q^{74} +(0.756183 + 0.990925i) q^{75} +(8.60901 + 4.97041i) q^{76} +(-4.34461 + 7.56839i) q^{77} +(-0.308040 + 0.0658308i) q^{78} +(2.32507 - 4.02714i) q^{79} -9.52983 q^{80} +(7.84168 - 4.41680i) q^{81} +0.0733081i q^{82} +16.2715 q^{83} +(-7.26295 + 5.57099i) q^{84} +(-7.59323 - 13.1519i) q^{85} +(-0.0191392 - 0.0110500i) q^{86} +(3.97809 + 1.66019i) q^{87} +0.665058 q^{88} +(-2.54744 - 4.41230i) q^{89} +(-0.0918032 - 0.350054i) q^{90} +(-5.45215 - 7.82777i) q^{91} -7.56977i q^{92} +(-7.01075 + 5.34997i) q^{93} +0.218085i q^{94} +(-10.3077 - 5.95114i) q^{95} +(0.965856 + 0.403085i) q^{96} +(-11.0551 + 6.38267i) q^{97} +(0.306647 + 0.175020i) q^{98} +(-2.51017 - 9.57152i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64 q + 32 q^{4} - 12 q^{6} - 4 q^{7} + 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 64 q + 32 q^{4} - 12 q^{6} - 4 q^{7} + 8 q^{9} + 6 q^{12} - 12 q^{13} - 9 q^{15} - 16 q^{16} + 2 q^{18} + 10 q^{21} + 10 q^{22} - 24 q^{25} - 50 q^{28} - 16 q^{30} - 24 q^{31} - 33 q^{39} + 90 q^{40} - 48 q^{42} - 20 q^{43} - 3 q^{45} + 6 q^{48} - 10 q^{51} + 30 q^{52} - 27 q^{54} + 18 q^{55} + 4 q^{57} - 60 q^{58} + 55 q^{60} - 74 q^{63} - 84 q^{64} + 75 q^{66} - 88 q^{67} - 33 q^{69} + 20 q^{70} - 34 q^{72} + 84 q^{73} + 33 q^{75} + 18 q^{76} - 71 q^{78} + 20 q^{79} - 32 q^{81} - 6 q^{84} - 2 q^{85} + 3 q^{87} + 92 q^{88} - 76 q^{91} + 28 q^{93} + 30 q^{96} + 24 q^{97} + 22 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0436821 0.0252199i 0.0308879 0.0178331i −0.484477 0.874804i \(-0.660990\pi\)
0.515364 + 0.856971i \(0.327657\pi\)
\(3\) −1.71783 + 0.221508i −0.991789 + 0.127888i
\(4\) −0.998728 + 1.72985i −0.499364 + 0.864924i
\(5\) 1.19579 2.07117i 0.534774 0.926256i −0.464400 0.885625i \(-0.653730\pi\)
0.999174 0.0406302i \(-0.0129366\pi\)
\(6\) −0.0694519 + 0.0529993i −0.0283536 + 0.0216369i
\(7\) −2.29456 1.31719i −0.867263 0.497850i
\(8\) 0.201631i 0.0712872i
\(9\) 2.90187 0.761026i 0.967289 0.253675i
\(10\) 0.120631i 0.0381468i
\(11\) 3.29840i 0.994505i −0.867606 0.497253i \(-0.834342\pi\)
0.867606 0.497253i \(-0.165658\pi\)
\(12\) 1.33247 3.19281i 0.384650 0.921684i
\(13\) 3.26013 + 1.53997i 0.904199 + 0.427112i
\(14\) −0.133451 0.000331113i −0.0356662 8.84936e-5i
\(15\) −1.59538 + 3.82279i −0.411926 + 0.987041i
\(16\) −1.99237 3.45089i −0.498093 0.862722i
\(17\) 3.17498 5.49923i 0.770046 1.33376i −0.167490 0.985874i \(-0.553566\pi\)
0.937537 0.347886i \(-0.113100\pi\)
\(18\) 0.107567 0.106428i 0.0253537 0.0250853i
\(19\) 4.97674i 1.14174i −0.821039 0.570871i \(-0.806605\pi\)
0.821039 0.570871i \(-0.193395\pi\)
\(20\) 2.38854 + 4.13707i 0.534094 + 0.925077i
\(21\) 4.23343 + 1.75444i 0.923811 + 0.382849i
\(22\) −0.0831852 0.144081i −0.0177351 0.0307182i
\(23\) −3.28198 + 1.89485i −0.684340 + 0.395104i −0.801488 0.598010i \(-0.795958\pi\)
0.117148 + 0.993114i \(0.462625\pi\)
\(24\) −0.0446628 0.346367i −0.00911676 0.0707018i
\(25\) −0.359831 0.623246i −0.0719663 0.124649i
\(26\) 0.181247 0.0149508i 0.0355455 0.00293210i
\(27\) −4.81634 + 1.95010i −0.926905 + 0.375297i
\(28\) 4.57018 2.65373i 0.863682 0.501508i
\(29\) −2.15531 1.24437i −0.400231 0.231073i 0.286353 0.958124i \(-0.407557\pi\)
−0.686584 + 0.727051i \(0.740890\pi\)
\(30\) 0.0267207 + 0.207223i 0.00487851 + 0.0378335i
\(31\) 4.40944 2.54579i 0.791960 0.457238i −0.0486923 0.998814i \(-0.515505\pi\)
0.840652 + 0.541576i \(0.182172\pi\)
\(32\) −0.523296 0.302125i −0.0925066 0.0534087i
\(33\) 0.730623 + 5.66609i 0.127185 + 0.986339i
\(34\) 0.320291i 0.0549294i
\(35\) −5.47194 + 3.17735i −0.924926 + 0.537070i
\(36\) −1.58172 + 5.77985i −0.263620 + 0.963308i
\(37\) −2.62306 4.54327i −0.431228 0.746909i 0.565751 0.824576i \(-0.308586\pi\)
−0.996979 + 0.0776668i \(0.975253\pi\)
\(38\) −0.125513 0.217394i −0.0203609 0.0352660i
\(39\) −5.94147 1.92327i −0.951396 0.307969i
\(40\) 0.417611 + 0.241108i 0.0660301 + 0.0381225i
\(41\) −0.726691 + 1.25866i −0.113490 + 0.196570i −0.917175 0.398484i \(-0.869536\pi\)
0.803685 + 0.595055i \(0.202870\pi\)
\(42\) 0.229172 0.0301292i 0.0353620 0.00464904i
\(43\) −0.219074 0.379447i −0.0334085 0.0578652i 0.848838 0.528653i \(-0.177303\pi\)
−0.882246 + 0.470788i \(0.843970\pi\)
\(44\) 5.70573 + 3.29420i 0.860171 + 0.496620i
\(45\) 1.89381 6.92029i 0.282313 1.03162i
\(46\) −0.0955758 + 0.165542i −0.0140919 + 0.0244079i
\(47\) −2.16184 + 3.74442i −0.315337 + 0.546180i −0.979509 0.201400i \(-0.935451\pi\)
0.664172 + 0.747580i \(0.268784\pi\)
\(48\) 4.18695 + 5.48671i 0.604334 + 0.791938i
\(49\) 3.53004 + 6.04474i 0.504291 + 0.863534i
\(50\) −0.0314364 0.0181498i −0.00444577 0.00256677i
\(51\) −4.23595 + 10.1500i −0.593152 + 1.42129i
\(52\) −5.91991 + 4.10152i −0.820944 + 0.568778i
\(53\) −11.7501 + 6.78394i −1.61400 + 0.931845i −0.625574 + 0.780165i \(0.715135\pi\)
−0.988430 + 0.151681i \(0.951531\pi\)
\(54\) −0.161206 + 0.206652i −0.0219374 + 0.0281218i
\(55\) −6.83155 3.94420i −0.921166 0.531835i
\(56\) 0.265585 0.462654i 0.0354903 0.0618247i
\(57\) 1.10239 + 8.54919i 0.146015 + 1.13237i
\(58\) −0.125531 −0.0164831
\(59\) 1.41773 2.45559i 0.184573 0.319690i −0.758859 0.651254i \(-0.774243\pi\)
0.943433 + 0.331564i \(0.107576\pi\)
\(60\) −5.01950 6.57770i −0.648014 0.849177i
\(61\) 2.84886i 0.364759i 0.983228 + 0.182380i \(0.0583800\pi\)
−0.983228 + 0.182380i \(0.941620\pi\)
\(62\) 0.128409 0.222411i 0.0163080 0.0282462i
\(63\) −7.66093 2.07608i −0.965187 0.261561i
\(64\) 7.93900 0.992376
\(65\) 7.08799 4.91081i 0.879157 0.609111i
\(66\) 0.174813 + 0.229080i 0.0215180 + 0.0281978i
\(67\) 1.43904 0.175806 0.0879032 0.996129i \(-0.471983\pi\)
0.0879032 + 0.996129i \(0.471983\pi\)
\(68\) 6.34189 + 10.9845i 0.769067 + 1.33206i
\(69\) 5.21815 3.98202i 0.628192 0.479379i
\(70\) −0.158893 + 0.276795i −0.0189914 + 0.0330833i
\(71\) 5.14430 2.97006i 0.610516 0.352482i −0.162651 0.986684i \(-0.552005\pi\)
0.773167 + 0.634202i \(0.218671\pi\)
\(72\) 0.153446 + 0.585105i 0.0180838 + 0.0689553i
\(73\) 4.79664 2.76934i 0.561404 0.324127i −0.192305 0.981335i \(-0.561596\pi\)
0.753709 + 0.657209i \(0.228263\pi\)
\(74\) −0.229161 0.132306i −0.0266395 0.0153803i
\(75\) 0.756183 + 0.990925i 0.0873165 + 0.114422i
\(76\) 8.60901 + 4.97041i 0.987521 + 0.570145i
\(77\) −4.34461 + 7.56839i −0.495114 + 0.862498i
\(78\) −0.308040 + 0.0658308i −0.0348787 + 0.00745387i
\(79\) 2.32507 4.02714i 0.261591 0.453088i −0.705074 0.709134i \(-0.749086\pi\)
0.966665 + 0.256045i \(0.0824197\pi\)
\(80\) −9.52983 −1.06547
\(81\) 7.84168 4.41680i 0.871298 0.490755i
\(82\) 0.0733081i 0.00809553i
\(83\) 16.2715 1.78603 0.893015 0.450026i \(-0.148585\pi\)
0.893015 + 0.450026i \(0.148585\pi\)
\(84\) −7.26295 + 5.57099i −0.792453 + 0.607845i
\(85\) −7.59323 13.1519i −0.823602 1.42652i
\(86\) −0.0191392 0.0110500i −0.00206384 0.00119156i
\(87\) 3.97809 + 1.66019i 0.426496 + 0.177991i
\(88\) 0.665058 0.0708955
\(89\) −2.54744 4.41230i −0.270028 0.467703i 0.698841 0.715278i \(-0.253700\pi\)
−0.968869 + 0.247575i \(0.920366\pi\)
\(90\) −0.0918032 0.350054i −0.00967690 0.0368990i
\(91\) −5.45215 7.82777i −0.571541 0.820574i
\(92\) 7.56977i 0.789203i
\(93\) −7.01075 + 5.34997i −0.726981 + 0.554766i
\(94\) 0.218085i 0.0224938i
\(95\) −10.3077 5.95114i −1.05755 0.610574i
\(96\) 0.965856 + 0.403085i 0.0985773 + 0.0411397i
\(97\) −11.0551 + 6.38267i −1.12248 + 0.648062i −0.942032 0.335523i \(-0.891087\pi\)
−0.180445 + 0.983585i \(0.557754\pi\)
\(98\) 0.306647 + 0.175020i 0.0309760 + 0.0176796i
\(99\) −2.51017 9.57152i −0.252282 0.961974i
\(100\) 1.43749 0.143749
\(101\) 15.4014 1.53250 0.766250 0.642543i \(-0.222121\pi\)
0.766250 + 0.642543i \(0.222121\pi\)
\(102\) 0.0709470 + 0.550204i 0.00702480 + 0.0544783i
\(103\) −8.35522 4.82389i −0.823264 0.475312i 0.0282768 0.999600i \(-0.490998\pi\)
−0.851541 + 0.524288i \(0.824331\pi\)
\(104\) −0.310506 + 0.657343i −0.0304476 + 0.0644578i
\(105\) 8.69604 6.67022i 0.848646 0.650947i
\(106\) −0.342180 + 0.592673i −0.0332355 + 0.0575655i
\(107\) −13.8559 + 7.99973i −1.33950 + 0.773363i −0.986734 0.162347i \(-0.948093\pi\)
−0.352770 + 0.935710i \(0.614760\pi\)
\(108\) 1.43683 10.2791i 0.138259 0.989112i
\(109\) −1.34089 2.32249i −0.128434 0.222454i 0.794636 0.607086i \(-0.207662\pi\)
−0.923070 + 0.384632i \(0.874328\pi\)
\(110\) −0.397888 −0.0379372
\(111\) 5.51234 + 7.22353i 0.523208 + 0.685627i
\(112\) 0.0261579 + 10.5426i 0.00247169 + 0.996182i
\(113\) 1.59016 0.918079i 0.149590 0.0863656i −0.423337 0.905972i \(-0.639141\pi\)
0.572927 + 0.819607i \(0.305808\pi\)
\(114\) 0.263764 + 0.345644i 0.0247038 + 0.0323725i
\(115\) 9.06339i 0.845166i
\(116\) 4.30514 2.48557i 0.399722 0.230779i
\(117\) 10.6324 + 1.98776i 0.982970 + 0.183768i
\(118\) 0.143020i 0.0131661i
\(119\) −14.5287 + 8.43629i −1.33184 + 0.773353i
\(120\) −0.770792 0.321678i −0.0703633 0.0293650i
\(121\) 0.120556 0.0109597
\(122\) 0.0718479 + 0.124444i 0.00650480 + 0.0112666i
\(123\) 0.969525 2.32314i 0.0874191 0.209470i
\(124\) 10.1702i 0.913313i
\(125\) 10.2368 0.915605
\(126\) −0.387004 + 0.102520i −0.0344770 + 0.00913323i
\(127\) 2.35503 4.07903i 0.208975 0.361956i −0.742417 0.669938i \(-0.766321\pi\)
0.951392 + 0.307983i \(0.0996539\pi\)
\(128\) 1.39338 0.804471i 0.123159 0.0711059i
\(129\) 0.460382 + 0.603299i 0.0405344 + 0.0531175i
\(130\) 0.185768 0.393272i 0.0162930 0.0344923i
\(131\) 8.13750 14.0946i 0.710977 1.23145i −0.253514 0.967332i \(-0.581587\pi\)
0.964491 0.264116i \(-0.0850802\pi\)
\(132\) −10.5312 4.39501i −0.916620 0.382537i
\(133\) −6.55530 + 11.4194i −0.568416 + 0.990192i
\(134\) 0.0628601 0.0362923i 0.00543029 0.00313518i
\(135\) −1.72034 + 12.3074i −0.148063 + 1.05925i
\(136\) 1.10881 + 0.640174i 0.0950799 + 0.0548944i
\(137\) −7.68590 4.43746i −0.656651 0.379118i 0.134349 0.990934i \(-0.457106\pi\)
−0.791000 + 0.611817i \(0.790439\pi\)
\(138\) 0.127514 0.305544i 0.0108547 0.0260096i
\(139\) −4.70649 + 2.71729i −0.399199 + 0.230478i −0.686138 0.727471i \(-0.740696\pi\)
0.286939 + 0.957949i \(0.407362\pi\)
\(140\) −0.0313592 12.6389i −0.00265034 1.06818i
\(141\) 2.88425 6.91114i 0.242898 0.582023i
\(142\) 0.149809 0.259477i 0.0125717 0.0217748i
\(143\) 5.07945 10.7532i 0.424765 0.899230i
\(144\) −8.40781 8.49777i −0.700651 0.708148i
\(145\) −5.15460 + 2.97601i −0.428066 + 0.247144i
\(146\) 0.139685 0.241941i 0.0115604 0.0200232i
\(147\) −7.40296 9.60188i −0.610586 0.791950i
\(148\) 10.4789 0.861359
\(149\) 3.71608i 0.304433i −0.988347 0.152217i \(-0.951359\pi\)
0.988347 0.152217i \(-0.0486412\pi\)
\(150\) 0.0580226 + 0.0242148i 0.00473753 + 0.00197713i
\(151\) 9.64969 + 16.7138i 0.785280 + 1.36015i 0.928831 + 0.370503i \(0.120815\pi\)
−0.143551 + 0.989643i \(0.545852\pi\)
\(152\) 1.00346 0.0813916
\(153\) 5.02832 18.3743i 0.406516 1.48547i
\(154\) 0.00109214 + 0.440173i 8.80073e−5 + 0.0354702i
\(155\) 12.1769i 0.978076i
\(156\) 9.26087 8.35702i 0.741463 0.669097i
\(157\) −5.75610 + 3.32329i −0.459387 + 0.265227i −0.711786 0.702396i \(-0.752114\pi\)
0.252400 + 0.967623i \(0.418780\pi\)
\(158\) 0.234552i 0.0186599i
\(159\) 18.6820 14.2564i 1.48158 1.13061i
\(160\) −1.25151 + 0.722557i −0.0989402 + 0.0571232i
\(161\) 10.0266 0.0248776i 0.790206 0.00196063i
\(162\) 0.231150 0.390701i 0.0181608 0.0306964i
\(163\) 19.3779 1.51779 0.758896 0.651212i \(-0.225739\pi\)
0.758896 + 0.651212i \(0.225739\pi\)
\(164\) −1.45153 2.51413i −0.113346 0.196320i
\(165\) 12.6091 + 5.26221i 0.981617 + 0.409662i
\(166\) 0.710774 0.410365i 0.0551667 0.0318505i
\(167\) −8.60942 + 14.9119i −0.666217 + 1.15392i 0.312737 + 0.949840i \(0.398754\pi\)
−0.978954 + 0.204081i \(0.934579\pi\)
\(168\) −0.353748 + 0.853589i −0.0272922 + 0.0658559i
\(169\) 8.25696 + 10.0410i 0.635150 + 0.772388i
\(170\) −0.663376 0.383000i −0.0508786 0.0293748i
\(171\) −3.78743 14.4419i −0.289632 1.10440i
\(172\) 0.875181 0.0667320
\(173\) −1.04020 −0.0790850 −0.0395425 0.999218i \(-0.512590\pi\)
−0.0395425 + 0.999218i \(0.512590\pi\)
\(174\) 0.215641 0.0278062i 0.0163477 0.00210798i
\(175\) 0.00472424 + 1.90404i 0.000357119 + 0.143932i
\(176\) −11.3824 + 6.57164i −0.857981 + 0.495356i
\(177\) −1.89149 + 4.53232i −0.142173 + 0.340670i
\(178\) −0.222555 0.128492i −0.0166812 0.00963090i
\(179\) 3.13656i 0.234437i 0.993106 + 0.117219i \(0.0373979\pi\)
−0.993106 + 0.117219i \(0.962602\pi\)
\(180\) 10.0796 + 10.1875i 0.751293 + 0.759331i
\(181\) 20.8722i 1.55142i −0.631091 0.775709i \(-0.717393\pi\)
0.631091 0.775709i \(-0.282607\pi\)
\(182\) −0.435577 0.204431i −0.0322871 0.0151534i
\(183\) −0.631046 4.89386i −0.0466483 0.361764i
\(184\) −0.382060 0.661748i −0.0281659 0.0487847i
\(185\) −12.5465 −0.922439
\(186\) −0.171319 + 0.410508i −0.0125617 + 0.0300999i
\(187\) −18.1387 10.4724i −1.32643 0.765815i
\(188\) −4.31818 7.47931i −0.314936 0.545485i
\(189\) 13.6200 + 1.86939i 0.990712 + 0.135978i
\(190\) −0.600348 −0.0435538
\(191\) 24.2675i 1.75593i 0.478723 + 0.877966i \(0.341100\pi\)
−0.478723 + 0.877966i \(0.658900\pi\)
\(192\) −13.6378 + 1.75856i −0.984227 + 0.126913i
\(193\) 1.54878 0.111484 0.0557419 0.998445i \(-0.482248\pi\)
0.0557419 + 0.998445i \(0.482248\pi\)
\(194\) −0.321940 + 0.557617i −0.0231140 + 0.0400346i
\(195\) −11.0882 + 10.0060i −0.794040 + 0.716543i
\(196\) −13.9820 + 0.0693838i −0.998716 + 0.00495598i
\(197\) 18.2395 + 10.5306i 1.29951 + 0.750273i 0.980319 0.197418i \(-0.0632555\pi\)
0.319191 + 0.947690i \(0.396589\pi\)
\(198\) −0.351042 0.354798i −0.0249475 0.0252144i
\(199\) 17.3749 + 10.0314i 1.23167 + 0.711106i 0.967378 0.253337i \(-0.0815280\pi\)
0.264293 + 0.964442i \(0.414861\pi\)
\(200\) 0.125666 0.0725530i 0.00888589 0.00513027i
\(201\) −2.47202 + 0.318759i −0.174363 + 0.0224835i
\(202\) 0.672766 0.388422i 0.0473357 0.0273293i
\(203\) 3.30643 + 5.69423i 0.232066 + 0.399656i
\(204\) −13.3274 17.4647i −0.933107 1.22277i
\(205\) 1.73794 + 3.01020i 0.121383 + 0.210241i
\(206\) −0.486631 −0.0339052
\(207\) −8.08184 + 7.99629i −0.561727 + 0.555780i
\(208\) −1.18112 14.3186i −0.0818958 0.992813i
\(209\) −16.4153 −1.13547
\(210\) 0.211639 0.510682i 0.0146045 0.0352404i
\(211\) −9.09366 + 15.7507i −0.626033 + 1.08432i 0.362307 + 0.932059i \(0.381989\pi\)
−0.988340 + 0.152263i \(0.951344\pi\)
\(212\) 27.1012i 1.86132i
\(213\) −8.17913 + 6.24156i −0.560425 + 0.427665i
\(214\) −0.403504 + 0.698889i −0.0275830 + 0.0477751i
\(215\) −1.04787 −0.0714639
\(216\) −0.393200 0.971121i −0.0267539 0.0660764i
\(217\) −13.4710 + 0.0334238i −0.914473 + 0.00226896i
\(218\) −0.117146 0.0676341i −0.00793410 0.00458076i
\(219\) −7.62637 + 5.81974i −0.515342 + 0.393262i
\(220\) 13.6457 7.87836i 0.919994 0.531159i
\(221\) 18.8196 13.0388i 1.26594 0.877087i
\(222\) 0.422967 + 0.176519i 0.0283877 + 0.0118471i
\(223\) 21.7090 + 12.5337i 1.45374 + 0.839320i 0.998691 0.0511442i \(-0.0162868\pi\)
0.455053 + 0.890464i \(0.349620\pi\)
\(224\) 0.802781 + 1.38252i 0.0536381 + 0.0923738i
\(225\) −1.51849 1.53474i −0.101233 0.102316i
\(226\) 0.0463076 0.0802072i 0.00308034 0.00533530i
\(227\) −2.81023 + 4.86746i −0.186522 + 0.323065i −0.944088 0.329693i \(-0.893055\pi\)
0.757567 + 0.652758i \(0.226388\pi\)
\(228\) −15.8898 6.63135i −1.05233 0.439172i
\(229\) −12.7089 7.33749i −0.839828 0.484875i 0.0173777 0.999849i \(-0.494468\pi\)
−0.857206 + 0.514974i \(0.827802\pi\)
\(230\) 0.228577 + 0.395908i 0.0150720 + 0.0261054i
\(231\) 5.78683 13.9636i 0.380746 0.918735i
\(232\) 0.250903 0.434576i 0.0164726 0.0285313i
\(233\) 12.2033 + 7.04557i 0.799464 + 0.461571i 0.843284 0.537469i \(-0.180619\pi\)
−0.0438198 + 0.999039i \(0.513953\pi\)
\(234\) 0.514578 0.181319i 0.0336390 0.0118532i
\(235\) 5.17022 + 8.95509i 0.337268 + 0.584165i
\(236\) 2.83186 + 4.90493i 0.184338 + 0.319284i
\(237\) −3.10202 + 7.43295i −0.201498 + 0.482822i
\(238\) −0.421882 + 0.734927i −0.0273466 + 0.0476382i
\(239\) 23.9806i 1.55117i 0.631241 + 0.775587i \(0.282546\pi\)
−0.631241 + 0.775587i \(0.717454\pi\)
\(240\) 16.3706 2.11094i 1.05672 0.136260i
\(241\) −13.4868 7.78659i −0.868759 0.501578i −0.00182319 0.999998i \(-0.500580\pi\)
−0.866936 + 0.498420i \(0.833914\pi\)
\(242\) 0.00526615 0.00304042i 0.000338521 0.000195445i
\(243\) −12.4923 + 9.32429i −0.801381 + 0.598154i
\(244\) −4.92810 2.84524i −0.315489 0.182148i
\(245\) 16.7409 0.0830741i 1.06953 0.00530741i
\(246\) −0.0162384 0.125931i −0.00103532 0.00802905i
\(247\) 7.66406 16.2249i 0.487652 1.03236i
\(248\) 0.513310 + 0.889079i 0.0325952 + 0.0564566i
\(249\) −27.9517 + 3.60428i −1.77136 + 0.228412i
\(250\) 0.447164 0.258170i 0.0282811 0.0163281i
\(251\) −5.82685 10.0924i −0.367788 0.637027i 0.621432 0.783468i \(-0.286551\pi\)
−0.989219 + 0.146441i \(0.953218\pi\)
\(252\) 11.2425 11.1788i 0.708210 0.704199i
\(253\) 6.24998 + 10.8253i 0.392933 + 0.680580i
\(254\) 0.237574i 0.0149067i
\(255\) 15.9571 + 20.9107i 0.999273 + 1.30948i
\(256\) −7.89843 + 13.6805i −0.493652 + 0.855030i
\(257\) −0.00851839 0.0147543i −0.000531363 0.000920347i 0.865760 0.500460i \(-0.166836\pi\)
−0.866291 + 0.499540i \(0.833502\pi\)
\(258\) 0.0353256 + 0.0147426i 0.00219927 + 0.000917832i
\(259\) 0.0344383 + 13.8799i 0.00213989 + 0.862454i
\(260\) 1.41597 + 17.1657i 0.0878150 + 1.06457i
\(261\) −7.20142 1.97075i −0.445757 0.121986i
\(262\) 0.820906i 0.0507158i
\(263\) 11.0395i 0.680726i 0.940294 + 0.340363i \(0.110550\pi\)
−0.940294 + 0.340363i \(0.889450\pi\)
\(264\) −1.14246 + 0.147316i −0.0703133 + 0.00906667i
\(265\) 32.4487i 1.99331i
\(266\) 0.00164786 + 0.664149i 0.000101037 + 0.0407216i
\(267\) 5.35343 + 7.01529i 0.327624 + 0.429329i
\(268\) −1.43721 + 2.48931i −0.0877914 + 0.152059i
\(269\) 7.50933 13.0065i 0.457852 0.793022i −0.540995 0.841026i \(-0.681952\pi\)
0.998847 + 0.0480030i \(0.0152857\pi\)
\(270\) 0.235242 + 0.580998i 0.0143164 + 0.0353584i
\(271\) −11.4856 + 6.63121i −0.697700 + 0.402817i −0.806490 0.591248i \(-0.798636\pi\)
0.108790 + 0.994065i \(0.465302\pi\)
\(272\) −25.3030 −1.53422
\(273\) 11.0998 + 12.2391i 0.671789 + 0.740743i
\(274\) −0.447648 −0.0270434
\(275\) −2.05572 + 1.18687i −0.123964 + 0.0715708i
\(276\) 1.67677 + 13.0036i 0.100929 + 0.782723i
\(277\) 11.5143 19.9433i 0.691826 1.19828i −0.279413 0.960171i \(-0.590140\pi\)
0.971239 0.238107i \(-0.0765269\pi\)
\(278\) −0.137060 + 0.237394i −0.00822028 + 0.0142379i
\(279\) 10.8582 10.7433i 0.650064 0.643182i
\(280\) −0.640651 1.10331i −0.0382862 0.0659353i
\(281\) 11.1312i 0.664031i 0.943274 + 0.332016i \(0.107729\pi\)
−0.943274 + 0.332016i \(0.892271\pi\)
\(282\) −0.0483077 0.374633i −0.00287668 0.0223091i
\(283\) 21.6445i 1.28663i −0.765600 0.643317i \(-0.777558\pi\)
0.765600 0.643317i \(-0.222442\pi\)
\(284\) 11.8651i 0.704066i
\(285\) 19.0251 + 7.93980i 1.12695 + 0.470313i
\(286\) −0.0493139 0.597826i −0.00291599 0.0353502i
\(287\) 3.32533 1.93090i 0.196288 0.113977i
\(288\) −1.74846 0.478485i −0.103029 0.0281950i
\(289\) −11.6610 20.1975i −0.685943 1.18809i
\(290\) −0.150109 + 0.259997i −0.00881471 + 0.0152675i
\(291\) 17.5770 13.4131i 1.03038 0.786292i
\(292\) 11.0633i 0.647429i
\(293\) 2.12989 + 3.68908i 0.124430 + 0.215519i 0.921510 0.388355i \(-0.126957\pi\)
−0.797080 + 0.603874i \(0.793623\pi\)
\(294\) −0.565535 0.232729i −0.0329827 0.0135730i
\(295\) −3.39063 5.87274i −0.197410 0.341924i
\(296\) 0.916062 0.528889i 0.0532451 0.0307410i
\(297\) 6.43221 + 15.8862i 0.373235 + 0.921811i
\(298\) −0.0937191 0.162326i −0.00542900 0.00940331i
\(299\) −13.6177 + 1.12331i −0.787533 + 0.0649625i
\(300\) −2.46937 + 0.318417i −0.142569 + 0.0183838i
\(301\) 0.00287623 + 1.15923i 0.000165783 + 0.0668168i
\(302\) 0.843037 + 0.486728i 0.0485113 + 0.0280080i
\(303\) −26.4570 + 3.41154i −1.51992 + 0.195988i
\(304\) −17.1742 + 9.91552i −0.985007 + 0.568694i
\(305\) 5.90048 + 3.40664i 0.337860 + 0.195064i
\(306\) −0.243750 0.929441i −0.0139342 0.0531326i
\(307\) 23.3540i 1.33288i −0.745557 0.666441i \(-0.767817\pi\)
0.745557 0.666441i \(-0.232183\pi\)
\(308\) −8.75307 15.0743i −0.498753 0.858936i
\(309\) 15.4214 + 6.43586i 0.877290 + 0.366123i
\(310\) −0.307101 0.531914i −0.0174422 0.0302107i
\(311\) 10.9226 + 18.9184i 0.619362 + 1.07277i 0.989602 + 0.143830i \(0.0459418\pi\)
−0.370241 + 0.928936i \(0.620725\pi\)
\(312\) 0.387789 1.19798i 0.0219542 0.0678224i
\(313\) 11.2662 + 6.50456i 0.636804 + 0.367659i 0.783383 0.621540i \(-0.213493\pi\)
−0.146578 + 0.989199i \(0.546826\pi\)
\(314\) −0.167626 + 0.290336i −0.00945966 + 0.0163846i
\(315\) −13.4608 + 13.3845i −0.758429 + 0.754134i
\(316\) 4.64422 + 8.04403i 0.261258 + 0.452512i
\(317\) −18.4310 10.6412i −1.03519 0.597667i −0.116723 0.993165i \(-0.537239\pi\)
−0.918467 + 0.395497i \(0.870572\pi\)
\(318\) 0.456524 1.09391i 0.0256006 0.0613432i
\(319\) −4.10442 + 7.10907i −0.229804 + 0.398032i
\(320\) 9.49339 16.4430i 0.530697 0.919193i
\(321\) 22.0301 16.8114i 1.22960 0.938319i
\(322\) 0.437355 0.253956i 0.0243728 0.0141524i
\(323\) −27.3683 15.8011i −1.52281 0.879195i
\(324\) −0.191318 + 17.9761i −0.0106288 + 0.998671i
\(325\) −0.213315 2.58600i −0.0118326 0.143445i
\(326\) 0.846465 0.488707i 0.0468814 0.0270670i
\(327\) 2.81787 + 3.69262i 0.155828 + 0.204202i
\(328\) −0.253785 0.146523i −0.0140129 0.00809038i
\(329\) 9.89258 5.74426i 0.545396 0.316691i
\(330\) 0.683504 0.0881356i 0.0376257 0.00485170i
\(331\) −6.79074 −0.373253 −0.186626 0.982431i \(-0.559755\pi\)
−0.186626 + 0.982431i \(0.559755\pi\)
\(332\) −16.2508 + 28.1472i −0.891879 + 1.54478i
\(333\) −11.0693 11.1878i −0.606595 0.613085i
\(334\) 0.868513i 0.0475229i
\(335\) 1.72079 2.98049i 0.0940167 0.162842i
\(336\) −2.38021 18.1046i −0.129851 0.987686i
\(337\) −27.2006 −1.48171 −0.740854 0.671666i \(-0.765579\pi\)
−0.740854 + 0.671666i \(0.765579\pi\)
\(338\) 0.613915 + 0.230375i 0.0333926 + 0.0125307i
\(339\) −2.52826 + 1.92934i −0.137316 + 0.104787i
\(340\) 30.3343 1.64511
\(341\) −8.39705 14.5441i −0.454726 0.787608i
\(342\) −0.529664 0.535332i −0.0286410 0.0289474i
\(343\) −0.137854 18.5197i −0.00744340 0.999972i
\(344\) 0.0765082 0.0441720i 0.00412505 0.00238160i
\(345\) −2.00762 15.5693i −0.108086 0.838226i
\(346\) −0.0454382 + 0.0262337i −0.00244277 + 0.00141033i
\(347\) 22.8690 + 13.2034i 1.22767 + 0.708796i 0.966542 0.256508i \(-0.0825720\pi\)
0.261129 + 0.965304i \(0.415905\pi\)
\(348\) −6.84491 + 5.22341i −0.366926 + 0.280004i
\(349\) 5.26120 + 3.03756i 0.281626 + 0.162597i 0.634159 0.773203i \(-0.281346\pi\)
−0.352533 + 0.935799i \(0.614680\pi\)
\(350\) 0.0482261 + 0.0830534i 0.00257779 + 0.00443939i
\(351\) −18.7050 1.05945i −0.998400 0.0565491i
\(352\) −0.996530 + 1.72604i −0.0531152 + 0.0919983i
\(353\) −25.2183 −1.34224 −0.671118 0.741350i \(-0.734186\pi\)
−0.671118 + 0.741350i \(0.734186\pi\)
\(354\) 0.0316802 + 0.245684i 0.00168378 + 0.0130580i
\(355\) 14.2063i 0.753992i
\(356\) 10.1768 0.539369
\(357\) 23.0891 17.7103i 1.22201 0.937330i
\(358\) 0.0791036 + 0.137011i 0.00418076 + 0.00724128i
\(359\) −11.9864 6.92033i −0.632616 0.365241i 0.149149 0.988815i \(-0.452347\pi\)
−0.781764 + 0.623574i \(0.785680\pi\)
\(360\) 1.39534 + 0.381850i 0.0735410 + 0.0201253i
\(361\) −5.76796 −0.303577
\(362\) −0.526394 0.911740i −0.0276666 0.0479200i
\(363\) −0.207095 + 0.0267042i −0.0108697 + 0.00140161i
\(364\) 18.9861 1.61357i 0.995141 0.0845741i
\(365\) 13.2462i 0.693338i
\(366\) −0.150988 0.197859i −0.00789226 0.0103422i
\(367\) 19.8158i 1.03438i −0.855872 0.517188i \(-0.826979\pi\)
0.855872 0.517188i \(-0.173021\pi\)
\(368\) 13.0778 + 7.55050i 0.681730 + 0.393597i
\(369\) −1.15088 + 4.20551i −0.0599126 + 0.218930i
\(370\) −0.548058 + 0.316422i −0.0284922 + 0.0164500i
\(371\) 35.8971 0.0890666i 1.86369 0.00462411i
\(372\) −2.25279 17.4707i −0.116802 0.905813i
\(373\) −17.5663 −0.909550 −0.454775 0.890606i \(-0.650280\pi\)
−0.454775 + 0.890606i \(0.650280\pi\)
\(374\) −1.05645 −0.0546275
\(375\) −17.5850 + 2.26753i −0.908087 + 0.117095i
\(376\) −0.754990 0.435893i −0.0389356 0.0224795i
\(377\) −5.11030 7.37593i −0.263194 0.379880i
\(378\) 0.642097 0.261837i 0.0330259 0.0134674i
\(379\) 9.24290 16.0092i 0.474776 0.822336i −0.524807 0.851221i \(-0.675862\pi\)
0.999583 + 0.0288853i \(0.00919576\pi\)
\(380\) 20.5891 11.8871i 1.05620 0.609798i
\(381\) −3.14200 + 7.52874i −0.160970 + 0.385709i
\(382\) 0.612022 + 1.06005i 0.0313138 + 0.0542370i
\(383\) −3.16515 −0.161732 −0.0808659 0.996725i \(-0.525769\pi\)
−0.0808659 + 0.996725i \(0.525769\pi\)
\(384\) −2.21540 + 1.69059i −0.113054 + 0.0862725i
\(385\) 10.4802 + 18.0486i 0.534119 + 0.919843i
\(386\) 0.0676540 0.0390601i 0.00344350 0.00198811i
\(387\) −0.924493 0.934385i −0.0469946 0.0474975i
\(388\) 25.4982i 1.29448i
\(389\) 13.6079 7.85653i 0.689949 0.398342i −0.113644 0.993522i \(-0.536252\pi\)
0.803593 + 0.595179i \(0.202919\pi\)
\(390\) −0.232005 + 0.716724i −0.0117480 + 0.0362927i
\(391\) 24.0645i 1.21699i
\(392\) −1.21880 + 0.711764i −0.0615589 + 0.0359495i
\(393\) −10.8568 + 26.0146i −0.547651 + 1.31226i
\(394\) 1.06232 0.0535189
\(395\) −5.56059 9.63122i −0.279784 0.484599i
\(396\) 19.0643 + 5.21714i 0.958015 + 0.262171i
\(397\) 17.3611i 0.871328i 0.900109 + 0.435664i \(0.143486\pi\)
−0.900109 + 0.435664i \(0.856514\pi\)
\(398\) 1.01196 0.0507250
\(399\) 8.73137 21.0687i 0.437115 1.05475i
\(400\) −1.43384 + 2.48348i −0.0716918 + 0.124174i
\(401\) 5.99869 3.46334i 0.299560 0.172951i −0.342685 0.939450i \(-0.611336\pi\)
0.642245 + 0.766499i \(0.278003\pi\)
\(402\) −0.0999439 + 0.0762680i −0.00498475 + 0.00380390i
\(403\) 18.2958 1.50920i 0.911381 0.0751785i
\(404\) −15.3818 + 26.6421i −0.765275 + 1.32550i
\(405\) 0.229068 21.5230i 0.0113825 1.06949i
\(406\) 0.288039 + 0.165348i 0.0142951 + 0.00820608i
\(407\) −14.9855 + 8.65190i −0.742805 + 0.428859i
\(408\) −2.04655 0.854097i −0.101320 0.0422841i
\(409\) −3.27394 1.89021i −0.161886 0.0934648i 0.416868 0.908967i \(-0.363128\pi\)
−0.578754 + 0.815502i \(0.696461\pi\)
\(410\) 0.151834 + 0.0876612i 0.00749853 + 0.00432928i
\(411\) 14.1860 + 5.92030i 0.699743 + 0.292027i
\(412\) 16.6892 9.63550i 0.822217 0.474707i
\(413\) −6.48755 + 3.76708i −0.319231 + 0.185366i
\(414\) −0.151367 + 0.553117i −0.00743926 + 0.0271842i
\(415\) 19.4573 33.7011i 0.955123 1.65432i
\(416\) −1.24075 1.79083i −0.0608328 0.0878027i
\(417\) 7.48304 5.71037i 0.366446 0.279638i
\(418\) −0.717054 + 0.413991i −0.0350723 + 0.0202490i
\(419\) 12.6236 21.8647i 0.616703 1.06816i −0.373380 0.927678i \(-0.621801\pi\)
0.990083 0.140483i \(-0.0448654\pi\)
\(420\) 2.85350 + 21.7046i 0.139236 + 1.05907i
\(421\) 18.4740 0.900367 0.450184 0.892936i \(-0.351358\pi\)
0.450184 + 0.892936i \(0.351358\pi\)
\(422\) 0.917363i 0.0446565i
\(423\) −3.42378 + 12.5110i −0.166470 + 0.608307i
\(424\) −1.36785 2.36918i −0.0664286 0.115058i
\(425\) −4.56983 −0.221670
\(426\) −0.199870 + 0.478921i −0.00968373 + 0.0232038i
\(427\) 3.75248 6.53689i 0.181595 0.316342i
\(428\) 31.9582i 1.54476i
\(429\) −6.34370 + 19.5973i −0.306277 + 0.946169i
\(430\) −0.0457730 + 0.0264271i −0.00220737 + 0.00127443i
\(431\) 30.7005i 1.47879i −0.673270 0.739397i \(-0.735111\pi\)
0.673270 0.739397i \(-0.264889\pi\)
\(432\) 16.3255 + 12.7353i 0.785461 + 0.612728i
\(433\) 5.40561 3.12093i 0.259777 0.149982i −0.364456 0.931221i \(-0.618745\pi\)
0.624233 + 0.781238i \(0.285412\pi\)
\(434\) −0.587600 + 0.341198i −0.0282057 + 0.0163780i
\(435\) 8.19550 6.25406i 0.392944 0.299859i
\(436\) 5.35673 0.256541
\(437\) 9.43019 + 16.3336i 0.451107 + 0.781341i
\(438\) −0.186362 + 0.446554i −0.00890474 + 0.0213372i
\(439\) −5.15298 + 2.97507i −0.245938 + 0.141993i −0.617903 0.786254i \(-0.712018\pi\)
0.371965 + 0.928247i \(0.378684\pi\)
\(440\) 0.795271 1.37745i 0.0379130 0.0656673i
\(441\) 14.8439 + 14.8546i 0.706853 + 0.707361i
\(442\) 0.493239 1.04419i 0.0234610 0.0496671i
\(443\) −6.56417 3.78983i −0.311873 0.180060i 0.335891 0.941901i \(-0.390963\pi\)
−0.647764 + 0.761841i \(0.724296\pi\)
\(444\) −18.0009 + 2.32116i −0.854287 + 0.110157i
\(445\) −12.1848 −0.577616
\(446\) 1.26439 0.0598708
\(447\) 0.823143 + 6.38359i 0.0389333 + 0.301934i
\(448\) −18.2165 10.4572i −0.860651 0.494054i
\(449\) 31.9151 18.4262i 1.50617 0.869586i 0.506192 0.862421i \(-0.331053\pi\)
0.999974 0.00716492i \(-0.00228069\pi\)
\(450\) −0.105037 0.0287444i −0.00495148 0.00135502i
\(451\) 4.15158 + 2.39692i 0.195490 + 0.112866i
\(452\) 3.66764i 0.172511i
\(453\) −20.2787 26.5739i −0.952778 1.24855i
\(454\) 0.283495i 0.0133051i
\(455\) −22.7323 + 1.93195i −1.06571 + 0.0905713i
\(456\) −1.72378 + 0.222275i −0.0807233 + 0.0104090i
\(457\) 7.61524 + 13.1900i 0.356226 + 0.617001i 0.987327 0.158699i \(-0.0507301\pi\)
−0.631101 + 0.775700i \(0.717397\pi\)
\(458\) −0.740202 −0.0345874
\(459\) −4.56774 + 32.6777i −0.213204 + 1.52526i
\(460\) −15.6783 9.05186i −0.731004 0.422045i
\(461\) −6.56203 11.3658i −0.305624 0.529356i 0.671776 0.740754i \(-0.265532\pi\)
−0.977400 + 0.211398i \(0.932198\pi\)
\(462\) −0.0993781 0.755900i −0.00462349 0.0351677i
\(463\) −4.01885 −0.186772 −0.0933859 0.995630i \(-0.529769\pi\)
−0.0933859 + 0.995630i \(0.529769\pi\)
\(464\) 9.91697i 0.460384i
\(465\) 2.69730 + 20.9179i 0.125084 + 0.970045i
\(466\) 0.710753 0.0329250
\(467\) −3.22927 + 5.59327i −0.149433 + 0.258825i −0.931018 0.364973i \(-0.881078\pi\)
0.781585 + 0.623799i \(0.214411\pi\)
\(468\) −14.0574 + 16.4073i −0.649805 + 0.758427i
\(469\) −3.30196 1.89548i −0.152470 0.0875251i
\(470\) 0.451692 + 0.260785i 0.0208350 + 0.0120291i
\(471\) 9.15186 6.98386i 0.421695 0.321799i
\(472\) 0.495121 + 0.285858i 0.0227898 + 0.0131577i
\(473\) −1.25157 + 0.722594i −0.0575472 + 0.0332249i
\(474\) 0.0519551 + 0.402919i 0.00238638 + 0.0185067i
\(475\) −3.10174 + 1.79079i −0.142317 + 0.0821670i
\(476\) −0.0832629 33.5580i −0.00381635 1.53813i
\(477\) −28.9346 + 28.6282i −1.32482 + 1.31080i
\(478\) 0.604787 + 1.04752i 0.0276623 + 0.0479125i
\(479\) 24.0394 1.09839 0.549195 0.835694i \(-0.314935\pi\)
0.549195 + 0.835694i \(0.314935\pi\)
\(480\) 1.98982 1.51845i 0.0908224 0.0693073i
\(481\) −1.55500 18.8511i −0.0709020 0.859537i
\(482\) −0.785506 −0.0357788
\(483\) −17.2184 + 2.26371i −0.783466 + 0.103002i
\(484\) −0.120403 + 0.208544i −0.00547286 + 0.00947928i
\(485\) 30.5294i 1.38627i
\(486\) −0.310532 + 0.722359i −0.0140860 + 0.0327669i
\(487\) −5.56310 + 9.63558i −0.252088 + 0.436630i −0.964101 0.265537i \(-0.914451\pi\)
0.712012 + 0.702167i \(0.247784\pi\)
\(488\) −0.574418 −0.0260027
\(489\) −33.2878 + 4.29236i −1.50533 + 0.194107i
\(490\) 0.729181 0.425831i 0.0329410 0.0192371i
\(491\) −0.596057 0.344134i −0.0268997 0.0155305i 0.486490 0.873686i \(-0.338277\pi\)
−0.513390 + 0.858156i \(0.671610\pi\)
\(492\) 3.05038 + 3.99731i 0.137522 + 0.180213i
\(493\) −13.6861 + 7.90170i −0.616393 + 0.355875i
\(494\) −0.0744065 0.902022i −0.00334771 0.0405839i
\(495\) −22.8259 6.24655i −1.02595 0.280762i
\(496\) −17.5705 10.1443i −0.788939 0.455494i
\(497\) −15.7160 + 0.0389941i −0.704961 + 0.00174912i
\(498\) −1.13009 + 0.862379i −0.0506404 + 0.0386441i
\(499\) 7.85879 13.6118i 0.351808 0.609349i −0.634759 0.772711i \(-0.718900\pi\)
0.986566 + 0.163362i \(0.0522338\pi\)
\(500\) −10.2238 + 17.7081i −0.457220 + 0.791929i
\(501\) 11.4864 27.5232i 0.513174 1.22965i
\(502\) −0.509058 0.293905i −0.0227204 0.0131176i
\(503\) −4.12748 7.14901i −0.184035 0.318758i 0.759216 0.650839i \(-0.225583\pi\)
−0.943251 + 0.332081i \(0.892249\pi\)
\(504\) 0.418601 1.54468i 0.0186460 0.0688054i
\(505\) 18.4169 31.8990i 0.819541 1.41949i
\(506\) 0.546025 + 0.315247i 0.0242738 + 0.0140145i
\(507\) −16.4082 15.4198i −0.728714 0.684818i
\(508\) 4.70407 + 8.14769i 0.208709 + 0.361495i
\(509\) 4.10928 + 7.11748i 0.182141 + 0.315477i 0.942609 0.333898i \(-0.108364\pi\)
−0.760469 + 0.649375i \(0.775031\pi\)
\(510\) 1.22440 + 0.510986i 0.0542175 + 0.0226268i
\(511\) −14.6539 + 0.0363588i −0.648251 + 0.00160842i
\(512\) 4.01467i 0.177425i
\(513\) 9.70515 + 23.9697i 0.428493 + 1.05829i
\(514\) −0.000744202 0 0.000429665i −3.28254e−5 0 1.89517e-5i
\(515\) −19.9822 + 11.5367i −0.880520 + 0.508369i
\(516\) −1.50341 + 0.193860i −0.0661840 + 0.00853421i
\(517\) 12.3506 + 7.13062i 0.543179 + 0.313604i
\(518\) 0.351553 + 0.605434i 0.0154464 + 0.0266012i
\(519\) 1.78689 0.230413i 0.0784357 0.0101140i
\(520\) 0.990169 + 1.42916i 0.0434218 + 0.0626726i
\(521\) 16.9788 + 29.4082i 0.743856 + 1.28840i 0.950727 + 0.310028i \(0.100339\pi\)
−0.206871 + 0.978368i \(0.566328\pi\)
\(522\) −0.364275 + 0.0955326i −0.0159439 + 0.00418135i
\(523\) 22.3419 12.8991i 0.976941 0.564037i 0.0755959 0.997139i \(-0.475914\pi\)
0.901345 + 0.433101i \(0.142581\pi\)
\(524\) 16.2543 + 28.1533i 0.710072 + 1.22988i
\(525\) −0.429877 3.26977i −0.0187614 0.142705i
\(526\) 0.278415 + 0.482229i 0.0121395 + 0.0210262i
\(527\) 32.3314i 1.40838i
\(528\) 18.0973 13.8102i 0.787586 0.601014i
\(529\) −4.31907 + 7.48084i −0.187785 + 0.325254i
\(530\) 0.818351 + 1.41743i 0.0355469 + 0.0615690i
\(531\) 2.24531 8.20472i 0.0974382 0.356055i
\(532\) −13.2069 22.7446i −0.572594 0.986103i
\(533\) −4.30742 + 2.98433i −0.186575 + 0.129266i
\(534\) 0.410773 + 0.171430i 0.0177759 + 0.00741849i
\(535\) 38.2640i 1.65430i
\(536\) 0.290154i 0.0125327i
\(537\) −0.694774 5.38807i −0.0299817 0.232512i
\(538\) 0.757537i 0.0326597i
\(539\) 19.9380 11.6435i 0.858789 0.501520i
\(540\) −19.5717 15.2676i −0.842233 0.657015i
\(541\) −6.70147 + 11.6073i −0.288119 + 0.499036i −0.973361 0.229279i \(-0.926363\pi\)
0.685242 + 0.728315i \(0.259696\pi\)
\(542\) −0.334476 + 0.579330i −0.0143670 + 0.0248843i
\(543\) 4.62336 + 35.8548i 0.198407 + 1.53868i
\(544\) −3.32291 + 1.91848i −0.142469 + 0.0822544i
\(545\) −6.41369 −0.274732
\(546\) 0.793529 + 0.254694i 0.0339599 + 0.0108999i
\(547\) 27.6554 1.18246 0.591230 0.806503i \(-0.298642\pi\)
0.591230 + 0.806503i \(0.298642\pi\)
\(548\) 15.3522 8.86362i 0.655815 0.378635i
\(549\) 2.16806 + 8.26702i 0.0925305 + 0.352828i
\(550\) −0.0598653 + 0.103690i −0.00255266 + 0.00442135i
\(551\) −6.19290 + 10.7264i −0.263826 + 0.456961i
\(552\) 0.802896 + 1.05214i 0.0341735 + 0.0447820i
\(553\) −10.6395 + 6.17797i −0.452438 + 0.262714i
\(554\) 1.16155i 0.0493497i
\(555\) 21.5528 2.77916i 0.914864 0.117969i
\(556\) 10.8553i 0.460369i
\(557\) 13.8889i 0.588491i 0.955730 + 0.294245i \(0.0950683\pi\)
−0.955730 + 0.294245i \(0.904932\pi\)
\(558\) 0.203366 0.743131i 0.00860915 0.0314592i
\(559\) −0.129872 1.57442i −0.00549298 0.0665908i
\(560\) 21.8668 + 12.5526i 0.924041 + 0.530443i
\(561\) 33.4788 + 13.9719i 1.41348 + 0.589892i
\(562\) 0.280727 + 0.486234i 0.0118418 + 0.0205105i
\(563\) −5.84070 + 10.1164i −0.246156 + 0.426355i −0.962456 0.271438i \(-0.912501\pi\)
0.716300 + 0.697792i \(0.245834\pi\)
\(564\) 9.07463 + 11.8917i 0.382111 + 0.500729i
\(565\) 4.39132i 0.184744i
\(566\) −0.545872 0.945478i −0.0229447 0.0397414i
\(567\) −23.8110 0.194334i −0.999967 0.00816126i
\(568\) 0.598855 + 1.03725i 0.0251274 + 0.0435220i
\(569\) −12.4870 + 7.20937i −0.523482 + 0.302233i −0.738358 0.674409i \(-0.764399\pi\)
0.214876 + 0.976641i \(0.431065\pi\)
\(570\) 1.03129 0.132982i 0.0431962 0.00557001i
\(571\) −1.58864 2.75161i −0.0664827 0.115151i 0.830868 0.556469i \(-0.187844\pi\)
−0.897351 + 0.441318i \(0.854511\pi\)
\(572\) 13.5285 + 19.5262i 0.565653 + 0.816433i
\(573\) −5.37544 41.6873i −0.224562 1.74151i
\(574\) 0.0965605 0.168210i 0.00403036 0.00702096i
\(575\) 2.36192 + 1.36366i 0.0984989 + 0.0568684i
\(576\) 23.0379 6.04179i 0.959914 0.251741i
\(577\) 28.1688 16.2633i 1.17268 0.677048i 0.218371 0.975866i \(-0.429926\pi\)
0.954310 + 0.298818i \(0.0965922\pi\)
\(578\) −1.01876 0.588179i −0.0423747 0.0244650i
\(579\) −2.66054 + 0.343068i −0.110568 + 0.0142574i
\(580\) 11.8889i 0.493659i
\(581\) −37.3360 21.4326i −1.54896 0.889175i
\(582\) 0.429521 1.02920i 0.0178042 0.0426618i
\(583\) 22.3761 + 38.7566i 0.926725 + 1.60513i
\(584\) 0.558383 + 0.967148i 0.0231061 + 0.0400209i
\(585\) 16.8312 19.6447i 0.695883 0.812207i
\(586\) 0.186076 + 0.107431i 0.00768674 + 0.00443794i
\(587\) 15.9879 27.6918i 0.659890 1.14296i −0.320754 0.947163i \(-0.603936\pi\)
0.980644 0.195800i \(-0.0627304\pi\)
\(588\) 24.0033 3.21632i 0.989881 0.132639i
\(589\) −12.6698 21.9447i −0.522048 0.904214i
\(590\) −0.296219 0.171022i −0.0121952 0.00704087i
\(591\) −33.6649 14.0495i −1.38479 0.577920i
\(592\) −10.4522 + 18.1038i −0.429583 + 0.744060i
\(593\) −9.25724 + 16.0340i −0.380149 + 0.658438i −0.991083 0.133244i \(-0.957461\pi\)
0.610934 + 0.791681i \(0.290794\pi\)
\(594\) 0.681620 + 0.531723i 0.0279672 + 0.0218169i
\(595\) 0.0996918 + 40.1795i 0.00408697 + 1.64720i
\(596\) 6.42826 + 3.71136i 0.263312 + 0.152023i
\(597\) −32.0691 13.3835i −1.31250 0.547751i
\(598\) −0.566521 + 0.392506i −0.0231668 + 0.0160507i
\(599\) −17.5513 + 10.1332i −0.717125 + 0.414033i −0.813694 0.581294i \(-0.802547\pi\)
0.0965683 + 0.995326i \(0.469213\pi\)
\(600\) −0.199801 + 0.152470i −0.00815683 + 0.00622454i
\(601\) −28.7369 16.5912i −1.17220 0.676771i −0.218004 0.975948i \(-0.569955\pi\)
−0.954198 + 0.299177i \(0.903288\pi\)
\(602\) 0.0293612 + 0.0505649i 0.00119667 + 0.00206087i
\(603\) 4.17590 1.09515i 0.170056 0.0445978i
\(604\) −38.5497 −1.56856
\(605\) 0.144160 0.249693i 0.00586095 0.0101515i
\(606\) −1.06966 + 0.816265i −0.0434519 + 0.0331585i
\(607\) 9.93135i 0.403101i 0.979478 + 0.201551i \(0.0645980\pi\)
−0.979478 + 0.201551i \(0.935402\pi\)
\(608\) −1.50360 + 2.60431i −0.0609790 + 0.105619i
\(609\) −6.94119 9.04930i −0.281271 0.366696i
\(610\) 0.343660 0.0139144
\(611\) −12.8142 + 8.87813i −0.518407 + 0.359171i
\(612\) 26.7628 + 27.0491i 1.08182 + 1.09340i
\(613\) 23.8083 0.961606 0.480803 0.876829i \(-0.340345\pi\)
0.480803 + 0.876829i \(0.340345\pi\)
\(614\) −0.588985 1.02015i −0.0237695 0.0411699i
\(615\) −3.65227 4.78604i −0.147274 0.192992i
\(616\) −1.52602 0.876006i −0.0614850 0.0352953i
\(617\) −24.2100 + 13.9777i −0.974659 + 0.562720i −0.900653 0.434538i \(-0.856912\pi\)
−0.0740057 + 0.997258i \(0.523578\pi\)
\(618\) 0.835948 0.107793i 0.0336268 0.00433606i
\(619\) −10.8076 + 6.23976i −0.434393 + 0.250797i −0.701216 0.712949i \(-0.747359\pi\)
0.266823 + 0.963745i \(0.414026\pi\)
\(620\) 21.0643 + 12.1615i 0.845961 + 0.488416i
\(621\) 12.1120 15.5264i 0.486037 0.623055i
\(622\) 0.954240 + 0.550931i 0.0382615 + 0.0220903i
\(623\) 0.0334455 + 13.4798i 0.00133996 + 0.540055i
\(624\) 5.20064 + 24.3352i 0.208192 + 0.974188i
\(625\) 14.0402 24.3183i 0.561608 0.972734i
\(626\) 0.656176 0.0262261
\(627\) 28.1986 3.63612i 1.12615 0.145213i
\(628\) 13.2762i 0.529779i
\(629\) −33.3127 −1.32826
\(630\) −0.250439 + 0.924144i −0.00997772 + 0.0368188i
\(631\) 0.0948913 + 0.164357i 0.00377756 + 0.00654293i 0.867908 0.496725i \(-0.165464\pi\)
−0.864130 + 0.503268i \(0.832131\pi\)
\(632\) 0.811994 + 0.468805i 0.0322994 + 0.0186481i
\(633\) 12.1324 29.0713i 0.482221 1.15548i
\(634\) −1.07347 −0.0426331
\(635\) −5.63225 9.75534i −0.223509 0.387129i
\(636\) 6.00315 + 46.5553i 0.238040 + 1.84604i
\(637\) 2.19966 + 25.1428i 0.0871539 + 0.996195i
\(638\) 0.414052i 0.0163925i
\(639\) 12.6678 12.5337i 0.501130 0.495825i
\(640\) 3.84792i 0.152102i
\(641\) 20.6497 + 11.9221i 0.815614 + 0.470895i 0.848902 0.528551i \(-0.177264\pi\)
−0.0332875 + 0.999446i \(0.510598\pi\)
\(642\) 0.538341 1.28995i 0.0212466 0.0509103i
\(643\) −30.1098 + 17.3839i −1.18741 + 0.685553i −0.957718 0.287709i \(-0.907106\pi\)
−0.229696 + 0.973263i \(0.573773\pi\)
\(644\) −9.97080 + 17.3693i −0.392905 + 0.684447i
\(645\) 1.80006 0.232111i 0.0708771 0.00913937i
\(646\) −1.59400 −0.0627152
\(647\) 12.7566 0.501515 0.250757 0.968050i \(-0.419320\pi\)
0.250757 + 0.968050i \(0.419320\pi\)
\(648\) 0.890561 + 1.58112i 0.0349845 + 0.0621123i
\(649\) −8.09951 4.67625i −0.317934 0.183559i
\(650\) −0.0745366 0.107582i −0.00292356 0.00421971i
\(651\) 23.1335 3.04136i 0.906674 0.119200i
\(652\) −19.3532 + 33.5207i −0.757930 + 1.31277i
\(653\) 10.7080 6.18226i 0.419036 0.241931i −0.275629 0.961264i \(-0.588886\pi\)
0.694665 + 0.719334i \(0.255553\pi\)
\(654\) 0.216218 + 0.0902350i 0.00845478 + 0.00352847i
\(655\) −19.4615 33.7083i −0.760423 1.31709i
\(656\) 5.79135 0.226114
\(657\) 11.8117 11.6866i 0.460817 0.455939i
\(658\) 0.287259 0.500411i 0.0111985 0.0195080i
\(659\) 7.20356 4.15898i 0.280611 0.162011i −0.353089 0.935590i \(-0.614869\pi\)
0.633700 + 0.773579i \(0.281535\pi\)
\(660\) −21.6959 + 16.5563i −0.844511 + 0.644453i
\(661\) 33.1766i 1.29042i 0.764005 + 0.645210i \(0.223230\pi\)
−0.764005 + 0.645210i \(0.776770\pi\)
\(662\) −0.296634 + 0.171261i −0.0115290 + 0.00665627i
\(663\) −29.4405 + 26.5672i −1.14338 + 1.03178i
\(664\) 3.28083i 0.127321i
\(665\) 15.8129 + 27.2324i 0.613196 + 1.05603i
\(666\) −0.765685 0.209538i −0.0296697 0.00811943i
\(667\) 9.43158 0.365192
\(668\) −17.1969 29.7860i −0.665369 1.15245i
\(669\) −40.0687 16.7220i −1.54915 0.646512i
\(670\) 0.173592i 0.00670645i
\(671\) 9.39669 0.362755
\(672\) −1.68528 2.19712i −0.0650111 0.0847556i
\(673\) −10.9583 + 18.9804i −0.422412 + 0.731640i −0.996175 0.0873819i \(-0.972150\pi\)
0.573762 + 0.819022i \(0.305483\pi\)
\(674\) −1.18818 + 0.685994i −0.0457669 + 0.0264235i
\(675\) 2.94846 + 2.30006i 0.113486 + 0.0885292i
\(676\) −25.6159 + 4.25500i −0.985228 + 0.163654i
\(677\) 16.0223 27.7515i 0.615787 1.06658i −0.374458 0.927244i \(-0.622171\pi\)
0.990246 0.139331i \(-0.0444953\pi\)
\(678\) −0.0617820 + 0.148040i −0.00237272 + 0.00568543i
\(679\) 33.7738 0.0837984i 1.29612 0.00321589i
\(680\) 2.65182 1.53103i 0.101693 0.0587122i
\(681\) 3.74931 8.98395i 0.143674 0.344266i
\(682\) −0.733601 0.423545i −0.0280910 0.0162184i
\(683\) −15.8147 9.13064i −0.605134 0.349374i 0.165924 0.986138i \(-0.446939\pi\)
−0.771059 + 0.636764i \(0.780273\pi\)
\(684\) 28.7648 + 7.87180i 1.09985 + 0.300986i
\(685\) −18.3815 + 10.6125i −0.702319 + 0.405484i
\(686\) −0.473087 0.805504i −0.0180626 0.0307543i
\(687\) 23.4570 + 9.78942i 0.894941 + 0.373490i
\(688\) −0.872953 + 1.51200i −0.0332810 + 0.0576445i
\(689\) −48.7541 + 4.02166i −1.85738 + 0.153213i
\(690\) −0.480354 0.629470i −0.0182868 0.0239635i
\(691\) 20.7881 12.0020i 0.790816 0.456578i −0.0494335 0.998777i \(-0.515742\pi\)
0.840250 + 0.542199i \(0.182408\pi\)
\(692\) 1.03888 1.79939i 0.0394922 0.0684025i
\(693\) −6.84774 + 25.2688i −0.260124 + 0.959883i
\(694\) 1.33195 0.0505602
\(695\) 12.9973i 0.493014i
\(696\) −0.334746 + 0.802104i −0.0126885 + 0.0304037i
\(697\) 4.61446 + 7.99248i 0.174785 + 0.302737i
\(698\) 0.306427 0.0115984
\(699\) −22.5238 9.39995i −0.851928 0.355539i
\(700\) −3.29842 1.89345i −0.124669 0.0715656i
\(701\) 21.5626i 0.814410i 0.913337 + 0.407205i \(0.133496\pi\)
−0.913337 + 0.407205i \(0.866504\pi\)
\(702\) −0.843793 + 0.425459i −0.0318469 + 0.0160579i
\(703\) −22.6107 + 13.0543i −0.852778 + 0.492352i
\(704\) 26.1860i 0.986923i
\(705\) −10.8652 14.2381i −0.409206 0.536236i
\(706\) −1.10159 + 0.636003i −0.0414589 + 0.0239363i
\(707\) −35.3395 20.2866i −1.32908 0.762954i
\(708\) −5.95113 7.79854i −0.223657 0.293087i
\(709\) −15.5353 −0.583439 −0.291719 0.956504i \(-0.594227\pi\)
−0.291719 + 0.956504i \(0.594227\pi\)
\(710\) −0.358281 0.620560i −0.0134460 0.0232892i
\(711\) 3.68228 13.4557i 0.138096 0.504626i
\(712\) 0.889654 0.513642i 0.0333412 0.0192495i
\(713\) −9.64781 + 16.7105i −0.361313 + 0.625813i
\(714\) 0.561929 1.35593i 0.0210297 0.0507443i
\(715\) −16.1978 23.3790i −0.605764 0.874326i
\(716\) −5.42577 3.13257i −0.202771 0.117070i
\(717\) −5.31189 41.1945i −0.198376 1.53844i
\(718\) −0.698119 −0.0260536
\(719\) −24.0466 −0.896789 −0.448394 0.893836i \(-0.648004\pi\)
−0.448394 + 0.893836i \(0.648004\pi\)
\(720\) −27.6543 + 7.25246i −1.03062 + 0.270283i
\(721\) 12.8176 + 22.0741i 0.477353 + 0.822082i
\(722\) −0.251957 + 0.145467i −0.00937686 + 0.00541373i
\(723\) 24.8927 + 10.3886i 0.925771 + 0.386356i
\(724\) 36.1057 + 20.8456i 1.34186 + 0.774722i
\(725\) 1.79105i 0.0665180i
\(726\) −0.00837287 + 0.00638941i −0.000310746 + 0.000237133i
\(727\) 14.4681i 0.536592i −0.963337 0.268296i \(-0.913539\pi\)
0.963337 0.268296i \(-0.0864605\pi\)
\(728\) 1.57832 1.09932i 0.0584964 0.0407435i
\(729\) 19.3942 18.7847i 0.718304 0.695729i
\(730\) −0.334067 0.578622i −0.0123644 0.0214157i
\(731\) −2.78223 −0.102904
\(732\) 9.09587 + 3.79602i 0.336193 + 0.140305i
\(733\) 33.3177 + 19.2360i 1.23062 + 0.710496i 0.967158 0.254175i \(-0.0818038\pi\)
0.263457 + 0.964671i \(0.415137\pi\)
\(734\) −0.499751 0.865595i −0.0184462 0.0319497i
\(735\) −28.7395 + 3.85095i −1.06007 + 0.142044i
\(736\) 2.28993 0.0844080
\(737\) 4.74652i 0.174840i
\(738\) 0.0557894 + 0.212731i 0.00205364 + 0.00783072i
\(739\) 6.01527 0.221275 0.110638 0.993861i \(-0.464711\pi\)
0.110638 + 0.993861i \(0.464711\pi\)
\(740\) 12.5306 21.7036i 0.460633 0.797839i
\(741\) −9.57160 + 29.5692i −0.351621 + 1.08625i
\(742\) 1.56581 0.909211i 0.0574829 0.0333782i
\(743\) 27.6154 + 15.9438i 1.01311 + 0.584920i 0.912101 0.409965i \(-0.134459\pi\)
0.101010 + 0.994885i \(0.467792\pi\)
\(744\) −1.07872 1.41358i −0.0395477 0.0518244i
\(745\) −7.69664 4.44366i −0.281983 0.162803i
\(746\) −0.767334 + 0.443021i −0.0280941 + 0.0162201i
\(747\) 47.2178 12.3831i 1.72761 0.453072i
\(748\) 36.2312 20.9181i 1.32474 0.764841i
\(749\) 42.3304 0.105029i 1.54672 0.00383767i
\(750\) −0.710964 + 0.542542i −0.0259607 + 0.0198108i
\(751\) 5.17581 + 8.96476i 0.188868 + 0.327129i 0.944873 0.327437i \(-0.106185\pi\)
−0.756005 + 0.654566i \(0.772852\pi\)
\(752\) 17.2288 0.628268
\(753\) 12.2451 + 16.0463i 0.446236 + 0.584761i
\(754\) −0.409249 0.193315i −0.0149040 0.00704011i
\(755\) 46.1560 1.67979
\(756\) −16.8365 + 21.6936i −0.612336 + 0.788988i
\(757\) 2.99136 5.18119i 0.108723 0.188313i −0.806530 0.591193i \(-0.798657\pi\)
0.915253 + 0.402879i \(0.131991\pi\)
\(758\) 0.932419i 0.0338670i
\(759\) −13.1343 17.2116i −0.476744 0.624740i
\(760\) 1.19993 2.07834i 0.0435261 0.0753894i
\(761\) 1.91278 0.0693382 0.0346691 0.999399i \(-0.488962\pi\)
0.0346691 + 0.999399i \(0.488962\pi\)
\(762\) 0.0526247 + 0.408112i 0.00190639 + 0.0147843i
\(763\) 0.0176046 + 7.09530i 0.000637329 + 0.256867i
\(764\) −41.9790 24.2366i −1.51875 0.876849i
\(765\) −32.0435 32.3863i −1.15853 1.17093i
\(766\) −0.138260 + 0.0798247i −0.00499555 + 0.00288418i
\(767\) 8.40355 5.82227i 0.303434 0.210230i
\(768\) 10.5378 25.2503i 0.380250 0.911141i
\(769\) −3.32745 1.92110i −0.119991 0.0692768i 0.438803 0.898583i \(-0.355402\pi\)
−0.558794 + 0.829306i \(0.688736\pi\)
\(770\) 0.912980 + 0.524093i 0.0329015 + 0.0188870i
\(771\) 0.0179013 + 0.0234584i 0.000644701 + 0.000844835i
\(772\) −1.54681 + 2.67916i −0.0556710 + 0.0964250i
\(773\) 19.2265 33.3012i 0.691528 1.19776i −0.279809 0.960056i \(-0.590271\pi\)
0.971337 0.237707i \(-0.0763957\pi\)
\(774\) −0.0639489 0.0175003i −0.00229859 0.000629035i
\(775\) −3.17331 1.83211i −0.113989 0.0658115i
\(776\) −1.28694 2.22905i −0.0461985 0.0800182i
\(777\) −3.13367 23.8356i −0.112420 0.855098i
\(778\) 0.396281 0.686379i 0.0142074 0.0246079i
\(779\) 6.26405 + 3.61655i 0.224433 + 0.129576i
\(780\) −6.23475 29.1741i −0.223240 1.04460i
\(781\) −9.79645 16.9680i −0.350545 0.607161i
\(782\) 0.606903 + 1.05119i 0.0217028 + 0.0375904i
\(783\) 12.8073 + 1.79023i 0.457697 + 0.0639775i
\(784\) 13.8266 24.2251i 0.493805 0.865183i
\(785\) 15.8958i 0.567346i
\(786\) 0.181838 + 1.41018i 0.00648593 + 0.0502993i
\(787\) 26.8523 + 15.5032i 0.957182 + 0.552629i 0.895305 0.445454i \(-0.146958\pi\)
0.0618775 + 0.998084i \(0.480291\pi\)
\(788\) −36.4326 + 21.0344i −1.29786 + 0.749318i
\(789\) −2.44534 18.9640i −0.0870566 0.675136i
\(790\) −0.485796 0.280475i −0.0172839 0.00997884i
\(791\) −4.85800 + 0.0120535i −0.172731 + 0.000428573i
\(792\) 1.92991 0.506127i 0.0685764 0.0179844i
\(793\) −4.38718 + 9.28767i −0.155793 + 0.329815i
\(794\) 0.437844 + 0.758369i 0.0155385 + 0.0269135i
\(795\) −7.18765 55.7413i −0.254920 1.97694i
\(796\) −34.7055 + 20.0372i −1.23010 + 0.710201i
\(797\) 18.5488 + 32.1274i 0.657032 + 1.13801i 0.981380 + 0.192075i \(0.0615216\pi\)
−0.324348 + 0.945938i \(0.605145\pi\)
\(798\) −0.149945 1.14053i −0.00530800 0.0403743i
\(799\) 13.7276 + 23.7769i 0.485648 + 0.841168i
\(800\) 0.434857i 0.0153745i
\(801\) −10.7502 10.8652i −0.379840 0.383904i
\(802\) 0.174690 0.302572i 0.00616852 0.0106842i
\(803\) −9.13439 15.8212i −0.322346 0.558319i
\(804\) 1.91747 4.59457i 0.0676240 0.162038i
\(805\) 11.9382 20.7965i 0.420765 0.732981i
\(806\) 0.761139 0.527344i 0.0268100 0.0185749i
\(807\) −10.0187 + 24.0064i −0.352674 + 0.845064i
\(808\) 3.10540i 0.109248i
\(809\) 45.6125i 1.60365i −0.597558 0.801826i \(-0.703862\pi\)
0.597558 0.801826i \(-0.296138\pi\)
\(810\) −0.532801 0.945947i −0.0187207 0.0332372i
\(811\) 20.1525i 0.707651i −0.935312 0.353825i \(-0.884881\pi\)
0.935312 0.353825i \(-0.115119\pi\)
\(812\) −13.1524 + 0.0326332i −0.461558 + 0.00114520i
\(813\) 18.2614 13.9354i 0.640455 0.488737i
\(814\) −0.436399 + 0.755866i −0.0152958 + 0.0264931i
\(815\) 23.1719 40.1348i 0.811675 1.40586i
\(816\) 43.4662 5.60482i 1.52162 0.196208i
\(817\) −1.88841 + 1.09028i −0.0660672 + 0.0381439i
\(818\) −0.190683 −0.00666708
\(819\) −21.7786 18.5659i −0.761005 0.648746i
\(820\) −6.94292 −0.242457
\(821\) 11.3095 6.52955i 0.394705 0.227883i −0.289492 0.957180i \(-0.593486\pi\)
0.684197 + 0.729298i \(0.260153\pi\)
\(822\) 0.768983 0.0991578i 0.0268214 0.00345852i
\(823\) −0.535412 + 0.927361i −0.0186633 + 0.0323258i −0.875206 0.483750i \(-0.839274\pi\)
0.856543 + 0.516076i \(0.172608\pi\)
\(824\) 0.972643 1.68467i 0.0338836 0.0586882i
\(825\) 3.26847 2.49419i 0.113793 0.0868367i
\(826\) −0.188384 + 0.328169i −0.00655473 + 0.0114185i
\(827\) 51.4101i 1.78771i −0.448361 0.893853i \(-0.647992\pi\)
0.448361 0.893853i \(-0.352008\pi\)
\(828\) −5.76079 21.9665i −0.200201 0.763388i
\(829\) 13.2472i 0.460095i 0.973179 + 0.230047i \(0.0738881\pi\)
−0.973179 + 0.230047i \(0.926112\pi\)
\(830\) 1.96284i 0.0681313i
\(831\) −15.3619 + 36.8097i −0.532900 + 1.27691i
\(832\) 25.8822 + 12.2259i 0.897305 + 0.423856i
\(833\) 44.4492 0.220573i 1.54007 0.00764240i
\(834\) 0.182860 0.438162i 0.00633192 0.0151723i
\(835\) 20.5901 + 35.6631i 0.712551 + 1.23417i
\(836\) 16.3944 28.3959i 0.567012 0.982094i
\(837\) −16.2728 + 20.8603i −0.562471 + 0.721036i
\(838\) 1.27346i 0.0439910i
\(839\) −12.9878 22.4954i −0.448387 0.776629i 0.549894 0.835234i \(-0.314668\pi\)
−0.998281 + 0.0586052i \(0.981335\pi\)
\(840\) 1.34492 + 1.75339i 0.0464042 + 0.0604976i
\(841\) −11.4031 19.7507i −0.393210 0.681060i
\(842\) 0.806983 0.465912i 0.0278105 0.0160564i
\(843\) −2.46565 19.1215i −0.0849215 0.658579i
\(844\) −18.1642 31.4613i −0.625237 1.08294i
\(845\) 30.6703 5.09457i 1.05509 0.175258i
\(846\) 0.165969 + 0.632855i 0.00570612 + 0.0217580i
\(847\) −0.276624 0.158795i −0.00950492 0.00545627i
\(848\) 46.8212 + 27.0322i 1.60785 + 0.928291i
\(849\) 4.79444 + 37.1816i 0.164545 + 1.27607i
\(850\) −0.199620 + 0.115251i −0.00684691 + 0.00395306i
\(851\) 17.2177 + 9.94062i 0.590214 + 0.340760i
\(852\) −2.62823 20.3823i −0.0900415 0.698285i
\(853\) 15.2119i 0.520844i 0.965495 + 0.260422i \(0.0838618\pi\)
−0.965495 + 0.260422i \(0.916138\pi\)
\(854\) −0.000943294 0.380182i −3.22789e−5 0.0130096i
\(855\) −34.4405 9.42501i −1.17784 0.322329i
\(856\) −1.61299 2.79378i −0.0551308 0.0954894i
\(857\) −6.27506 10.8687i −0.214352 0.371268i 0.738720 0.674012i \(-0.235431\pi\)
−0.953072 + 0.302744i \(0.902097\pi\)
\(858\) 0.217136 + 1.01604i 0.00741291 + 0.0346870i
\(859\) −0.357975 0.206677i −0.0122139 0.00705172i 0.493881 0.869530i \(-0.335578\pi\)
−0.506095 + 0.862478i \(0.668911\pi\)
\(860\) 1.04653 1.81265i 0.0356865 0.0618109i
\(861\) −5.28464 + 4.05354i −0.180100 + 0.138144i
\(862\) −0.774263 1.34106i −0.0263715 0.0456768i
\(863\) 14.4497 + 8.34256i 0.491875 + 0.283984i 0.725352 0.688378i \(-0.241677\pi\)
−0.233477 + 0.972362i \(0.575010\pi\)
\(864\) 3.10955 + 0.434657i 0.105789 + 0.0147873i
\(865\) −1.24386 + 2.15443i −0.0422926 + 0.0732530i
\(866\) 0.157419 0.272657i 0.00534931 0.00926527i
\(867\) 24.5056 + 32.1128i 0.832253 + 1.09061i
\(868\) 13.3961 23.3362i 0.454693 0.792083i
\(869\) −13.2831 7.66900i −0.450598 0.260153i
\(870\) 0.200270 0.479880i 0.00678980 0.0162694i
\(871\) 4.69145 + 2.21608i 0.158964 + 0.0750890i
\(872\) 0.468284 0.270364i 0.0158581 0.00915569i
\(873\) −27.2231 + 26.9349i −0.921363 + 0.911609i
\(874\) 0.823861 + 0.475656i 0.0278675 + 0.0160893i
\(875\) −23.4889 13.4837i −0.794071 0.455834i
\(876\) −2.45061 19.0048i −0.0827983 0.642112i
\(877\) −27.0737 −0.914213 −0.457107 0.889412i \(-0.651114\pi\)
−0.457107 + 0.889412i \(0.651114\pi\)
\(878\) −0.150062 + 0.259915i −0.00506434 + 0.00877170i
\(879\) −4.47595 5.86542i −0.150970 0.197836i
\(880\) 31.4332i 1.05961i
\(881\) −24.3245 + 42.1313i −0.819513 + 1.41944i 0.0865279 + 0.996249i \(0.472423\pi\)
−0.906041 + 0.423189i \(0.860911\pi\)
\(882\) 1.02304 + 0.274517i 0.0344477 + 0.00924348i
\(883\) 4.94186 0.166307 0.0831535 0.996537i \(-0.473501\pi\)
0.0831535 + 0.996537i \(0.473501\pi\)
\(884\) 3.75960 + 45.5772i 0.126449 + 1.53293i
\(885\) 7.12537 + 9.33730i 0.239517 + 0.313870i
\(886\) −0.382316 −0.0128441
\(887\) 12.1805 + 21.0972i 0.408980 + 0.708374i 0.994776 0.102085i \(-0.0325513\pi\)
−0.585796 + 0.810459i \(0.699218\pi\)
\(888\) −1.45648 + 1.11146i −0.0488764 + 0.0372980i
\(889\) −10.7766 + 6.25759i −0.361436 + 0.209873i
\(890\) −0.532259 + 0.307300i −0.0178413 + 0.0103007i
\(891\) −14.5684 25.8650i −0.488059 0.866510i
\(892\) −43.3628 + 25.0356i −1.45190 + 0.838252i
\(893\) 18.6350 + 10.7589i 0.623597 + 0.360034i
\(894\) 0.196950 + 0.258089i 0.00658699 + 0.00863179i
\(895\) 6.49635 + 3.75067i 0.217149 + 0.125371i
\(896\) −4.25685 + 0.0105619i −0.142211 + 0.000352849i
\(897\) 23.1441 4.94609i 0.772759 0.165145i
\(898\) 0.929412 1.60979i 0.0310149 0.0537193i
\(899\) −12.6716 −0.422622
\(900\) 4.17142 1.09397i 0.139047 0.0364657i
\(901\) 86.1555i 2.87026i
\(902\) 0.241800 0.00805105
\(903\) −0.261719 1.99072i −0.00870947 0.0662469i
\(904\) 0.185113 + 0.320625i 0.00615676 + 0.0106638i
\(905\) −43.2299 24.9588i −1.43701 0.829658i
\(906\) −1.55601 0.649375i −0.0516949 0.0215740i
\(907\) −52.9551 −1.75834 −0.879172 0.476504i \(-0.841904\pi\)
−0.879172 + 0.476504i \(0.841904\pi\)
\(908\) −5.61331 9.72254i −0.186284 0.322654i
\(909\) 44.6929 11.7209i 1.48237 0.388758i
\(910\) −0.944270 + 0.657697i −0.0313022 + 0.0218024i
\(911\) 33.4663i 1.10879i −0.832255 0.554393i \(-0.812950\pi\)
0.832255 0.554393i \(-0.187050\pi\)
\(912\) 27.3059 20.8374i 0.904189 0.689994i
\(913\) 53.6700i 1.77622i
\(914\) 0.665299 + 0.384110i 0.0220061 + 0.0127052i
\(915\) −10.8906 4.54502i −0.360032 0.150254i
\(916\) 25.3855 14.6563i 0.838760 0.484258i
\(917\) −37.2372 + 21.6223i −1.22968 + 0.714030i
\(918\) 0.624599 + 1.54263i 0.0206148 + 0.0509143i
\(919\) −6.12065 −0.201902 −0.100951 0.994891i \(-0.532188\pi\)
−0.100951 + 0.994891i \(0.532188\pi\)
\(920\) −1.82746 −0.0602495
\(921\) 5.17310 + 40.1182i 0.170460 + 1.32194i
\(922\) −0.573286 0.330987i −0.0188802 0.0109005i
\(923\) 21.3449 1.76071i 0.702577 0.0579546i
\(924\) 18.3754 + 23.9561i 0.604505 + 0.788099i
\(925\) −1.88772 + 3.26962i −0.0620678 + 0.107505i
\(926\) −0.175552 + 0.101355i −0.00576899 + 0.00333073i
\(927\) −27.9168 7.63974i −0.916909 0.250922i
\(928\) 0.751910 + 1.30235i 0.0246827 + 0.0427516i
\(929\) −0.976805 −0.0320479 −0.0160240 0.999872i \(-0.505101\pi\)
−0.0160240 + 0.999872i \(0.505101\pi\)
\(930\) 0.645370 + 0.845712i 0.0211625 + 0.0277320i
\(931\) 30.0831 17.5681i 0.985933 0.575771i
\(932\) −24.3755 + 14.0732i −0.798447 + 0.460983i
\(933\) −22.9537 30.0792i −0.751469 0.984748i
\(934\) 0.325767i 0.0106594i
\(935\) −43.3801 + 25.0455i −1.41868 + 0.819076i
\(936\) −0.400792 + 2.14383i −0.0131003 + 0.0700731i
\(937\) 42.7404i 1.39627i 0.715967 + 0.698134i \(0.245986\pi\)
−0.715967 + 0.698134i \(0.754014\pi\)
\(938\) −0.192040 0.000476483i −0.00627034 1.55577e-5i
\(939\) −20.7942 8.67815i −0.678595 0.283201i
\(940\) −20.6546 −0.673678
\(941\) −15.2152 26.3534i −0.496000 0.859097i 0.503990 0.863710i \(-0.331865\pi\)
−0.999989 + 0.00461292i \(0.998532\pi\)
\(942\) 0.223640 0.535878i 0.00728659 0.0174598i
\(943\) 5.50789i 0.179361i
\(944\) −11.2986 −0.367738
\(945\) 20.1585 25.9740i 0.655757 0.844935i
\(946\) −0.0364474 + 0.0631288i −0.00118501 + 0.00205249i
\(947\) 15.3617 8.86906i 0.499187 0.288206i −0.229191 0.973382i \(-0.573608\pi\)
0.728378 + 0.685176i \(0.240275\pi\)
\(948\) −9.75979 12.7895i −0.316983 0.415384i
\(949\) 19.9024 1.64172i 0.646059 0.0532925i
\(950\) −0.0903269 + 0.156451i −0.00293059 + 0.00507593i
\(951\) 34.0184 + 14.1971i 1.10312 + 0.460371i
\(952\) −1.70101 2.92943i −0.0551302 0.0949435i
\(953\) −45.8553 + 26.4746i −1.48540 + 0.857595i −0.999862 0.0166215i \(-0.994709\pi\)
−0.485536 + 0.874217i \(0.661376\pi\)
\(954\) −0.541921 + 1.98027i −0.0175453 + 0.0641135i
\(955\) 50.2621 + 29.0188i 1.62644 + 0.939027i
\(956\) −41.4827 23.9501i −1.34165 0.774600i
\(957\) 5.47598 13.1213i 0.177013 0.424152i
\(958\) 1.05009 0.606271i 0.0339269 0.0195877i
\(959\) 11.7908 + 20.3058i 0.380746 + 0.655708i
\(960\) −12.6657 + 30.3492i −0.408785 + 0.979515i
\(961\) −2.53786 + 4.39571i −0.0818666 + 0.141797i
\(962\) −0.543348 0.784239i −0.0175183 0.0252849i
\(963\) −34.1201 + 33.7589i −1.09950 + 1.08786i
\(964\) 26.9392 15.5534i 0.867654 0.500940i
\(965\) 1.85202 3.20779i 0.0596186 0.103262i
\(966\) −0.695047 + 0.533130i −0.0223628 + 0.0171532i
\(967\) −33.3275 −1.07174 −0.535870 0.844301i \(-0.680016\pi\)
−0.535870 + 0.844301i \(0.680016\pi\)
\(968\) 0.0243079i 0.000781284i
\(969\) 50.5140 + 21.0812i 1.62274 + 0.677227i
\(970\) 0.769947 + 1.33359i 0.0247215 + 0.0428189i
\(971\) −13.4096 −0.430335 −0.215168 0.976577i \(-0.569030\pi\)
−0.215168 + 0.976577i \(0.569030\pi\)
\(972\) −3.65320 30.9222i −0.117176 0.991830i
\(973\) 14.3785 0.0356755i 0.460954 0.00114370i
\(974\) 0.561203i 0.0179821i
\(975\) 0.939259 + 4.39505i 0.0300804 + 0.140754i
\(976\) 9.83110 5.67599i 0.314686 0.181684i
\(977\) 40.7054i 1.30228i −0.758958 0.651140i \(-0.774291\pi\)
0.758958 0.651140i \(-0.225709\pi\)
\(978\) −1.34583 + 1.02701i −0.0430349 + 0.0328403i
\(979\) −14.5535 + 8.40248i −0.465133 + 0.268544i
\(980\) −16.5759 + 29.0421i −0.529497 + 0.927716i
\(981\) −5.65856 5.71910i −0.180664 0.182597i
\(982\) −0.0347160 −0.00110783
\(983\) 20.4652 + 35.4467i 0.652737 + 1.13057i 0.982456 + 0.186495i \(0.0597128\pi\)
−0.329719 + 0.944079i \(0.606954\pi\)
\(984\) 0.468416 + 0.195486i 0.0149325 + 0.00623186i
\(985\) 43.6212 25.1847i 1.38989 0.802452i
\(986\) −0.398559 + 0.690325i −0.0126927 + 0.0219844i
\(987\) −15.7214 + 12.0589i −0.500416 + 0.383840i
\(988\) 20.4122 + 29.4619i 0.649399 + 0.937307i
\(989\) 1.43799 + 0.830226i 0.0457255 + 0.0263997i
\(990\) −1.15462 + 0.302804i −0.0366962 + 0.00962373i
\(991\) −27.6801 −0.879288 −0.439644 0.898172i \(-0.644895\pi\)
−0.439644 + 0.898172i \(0.644895\pi\)
\(992\) −3.07659 −0.0976820
\(993\) 11.6653 1.50420i 0.370188 0.0477345i
\(994\) −0.685526 + 0.398060i −0.0217436 + 0.0126257i
\(995\) 41.5534 23.9909i 1.31733 0.760562i
\(996\) 21.6813 51.9518i 0.686997 1.64616i
\(997\) −28.4639 16.4337i −0.901461 0.520459i −0.0237874 0.999717i \(-0.507572\pi\)
−0.877674 + 0.479258i \(0.840906\pi\)
\(998\) 0.792790i 0.0250953i
\(999\) 21.4934 + 16.7667i 0.680020 + 0.530475i
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 273.2.bf.b.152.17 yes 64
3.2 odd 2 inner 273.2.bf.b.152.16 yes 64
7.3 odd 6 273.2.r.b.269.17 yes 64
13.3 even 3 273.2.r.b.68.17 yes 64
21.17 even 6 273.2.r.b.269.16 yes 64
39.29 odd 6 273.2.r.b.68.16 64
91.3 odd 6 inner 273.2.bf.b.185.16 yes 64
273.185 even 6 inner 273.2.bf.b.185.17 yes 64
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
273.2.r.b.68.16 64 39.29 odd 6
273.2.r.b.68.17 yes 64 13.3 even 3
273.2.r.b.269.16 yes 64 21.17 even 6
273.2.r.b.269.17 yes 64 7.3 odd 6
273.2.bf.b.152.16 yes 64 3.2 odd 2 inner
273.2.bf.b.152.17 yes 64 1.1 even 1 trivial
273.2.bf.b.185.16 yes 64 91.3 odd 6 inner
273.2.bf.b.185.17 yes 64 273.185 even 6 inner