Properties

Label 33.3.h.b.26.2
Level $33$
Weight $3$
Character 33.26
Analytic conductor $0.899$
Analytic rank $0$
Dimension $16$
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] = [33,3,Mod(5,33)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(33, base_ring=CyclotomicField(10))
 
chi = DirichletCharacter(H, H._module([5, 4]))
 
N = Newforms(chi, 3, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("33.5");
 
S:= CuspForms(chi, 3);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 33 = 3 \cdot 11 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 33.h (of order \(10\), degree \(4\), 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: \(0.899184872389\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(4\) over \(\Q(\zeta_{10})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} - \cdots)\)
comment: defining polynomial
 
gp: f.mod \\ as an extension of the character field
 
Defining polynomial: \( x^{16} - 12x^{14} + 180x^{12} - 2562x^{10} + 25179x^{8} - 96398x^{6} + 239275x^{4} - 536393x^{2} + 1771561 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 26.2
Root \(-0.974642 + 1.34148i\) of defining polynomial
Character \(\chi\) \(=\) 33.26
Dual form 33.3.h.b.14.2

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.974642 + 1.34148i) q^{2} +(2.52902 - 1.61371i) q^{3} +(0.386428 + 1.18930i) q^{4} +(0.410570 + 0.565101i) q^{5} +(-0.300138 + 4.96542i) q^{6} +(0.806259 + 2.48141i) q^{7} +(-8.28007 - 2.69036i) q^{8} +(3.79191 - 8.16220i) q^{9} +O(q^{10})\) \(q+(-0.974642 + 1.34148i) q^{2} +(2.52902 - 1.61371i) q^{3} +(0.386428 + 1.18930i) q^{4} +(0.410570 + 0.565101i) q^{5} +(-0.300138 + 4.96542i) q^{6} +(0.806259 + 2.48141i) q^{7} +(-8.28007 - 2.69036i) q^{8} +(3.79191 - 8.16220i) q^{9} -1.15823 q^{10} +(-4.26126 - 10.1411i) q^{11} +(2.89647 + 2.38419i) q^{12} +(-13.8479 - 10.0611i) q^{13} +(-4.11458 - 1.33691i) q^{14} +(1.95025 + 0.766614i) q^{15} +(7.63243 - 5.54529i) q^{16} +(9.47072 + 13.0353i) q^{17} +(7.25367 + 13.0420i) q^{18} +(-4.92151 + 15.1469i) q^{19} +(-0.513421 + 0.706663i) q^{20} +(6.04332 + 4.97448i) q^{21} +(17.7573 + 4.16754i) q^{22} +23.1295i q^{23} +(-25.2819 + 6.55762i) q^{24} +(7.57465 - 23.3124i) q^{25} +(26.9935 - 8.77071i) q^{26} +(-3.58157 - 26.7614i) q^{27} +(-2.63959 + 1.91777i) q^{28} +(5.10329 - 1.65816i) q^{29} +(-2.92919 + 1.86904i) q^{30} +(3.28671 + 2.38793i) q^{31} -19.1813i q^{32} +(-27.1415 - 18.7706i) q^{33} -26.7172 q^{34} +(-1.07122 + 1.47441i) q^{35} +(11.1726 + 1.35562i) q^{36} +(19.6322 + 60.4217i) q^{37} +(-15.5225 - 21.3649i) q^{38} +(-51.2573 - 3.09828i) q^{39} +(-1.87922 - 5.78366i) q^{40} +(64.1371 + 20.8394i) q^{41} +(-12.5632 + 3.25865i) q^{42} -22.6622 q^{43} +(10.4142 - 8.98672i) q^{44} +(6.16931 - 1.20834i) q^{45} +(-31.0277 - 22.5429i) q^{46} +(-70.2078 - 22.8119i) q^{47} +(10.3541 - 26.3407i) q^{48} +(34.1345 - 24.8002i) q^{49} +(23.8905 + 32.8825i) q^{50} +(44.9868 + 17.6837i) q^{51} +(6.61446 - 20.3572i) q^{52} +(-25.1873 + 34.6673i) q^{53} +(39.3906 + 21.2782i) q^{54} +(3.98120 - 6.57167i) q^{55} -22.7154i q^{56} +(11.9960 + 46.2486i) q^{57} +(-2.74949 + 8.46207i) q^{58} +(-27.3316 + 8.88056i) q^{59} +(-0.158106 + 2.61568i) q^{60} +(37.4585 - 27.2152i) q^{61} +(-6.40673 + 2.08167i) q^{62} +(23.3110 + 2.82843i) q^{63} +(56.2610 + 40.8760i) q^{64} -11.9562i q^{65} +(51.6337 - 18.1152i) q^{66} -77.2821 q^{67} +(-11.8432 + 16.3008i) q^{68} +(37.3241 + 58.4949i) q^{69} +(-0.933834 - 2.87405i) q^{70} +(24.2537 + 33.3824i) q^{71} +(-53.3565 + 57.3820i) q^{72} +(-17.5438 - 53.9942i) q^{73} +(-100.189 - 32.5533i) q^{74} +(-18.4629 - 71.1808i) q^{75} -19.9160 q^{76} +(21.7285 - 18.7503i) q^{77} +(54.1137 - 65.7409i) q^{78} +(41.1994 + 29.9331i) q^{79} +(6.26730 + 2.03637i) q^{80} +(-52.2429 - 61.9006i) q^{81} +(-90.4664 + 65.7277i) q^{82} +(-34.8026 - 47.9017i) q^{83} +(-3.58085 + 9.10961i) q^{84} +(-3.47788 + 10.7038i) q^{85} +(22.0875 - 30.4009i) q^{86} +(10.2306 - 12.4287i) q^{87} +(8.00033 + 95.4332i) q^{88} -38.1909i q^{89} +(-4.39190 + 9.45370i) q^{90} +(13.8007 - 42.4742i) q^{91} +(-27.5079 + 8.93786i) q^{92} +(12.1656 + 0.735356i) q^{93} +(99.0291 - 71.9489i) q^{94} +(-10.5801 + 3.43769i) q^{95} +(-30.9530 - 48.5099i) q^{96} +(-13.1808 - 9.57644i) q^{97} +69.9620i q^{98} +(-98.9318 - 3.67286i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16 q - 10 q^{3} + 8 q^{4} - 33 q^{6} + 6 q^{7} - 28 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 16 q - 10 q^{3} + 8 q^{4} - 33 q^{6} + 6 q^{7} - 28 q^{9} - 12 q^{10} + 106 q^{12} - 42 q^{13} + 82 q^{15} - 88 q^{16} - 43 q^{18} - 134 q^{19} - 12 q^{21} + 78 q^{22} + 41 q^{24} + 134 q^{25} + 80 q^{27} + 264 q^{28} - 120 q^{30} + 124 q^{31} - 79 q^{33} - 132 q^{34} - 219 q^{36} + 90 q^{37} - 174 q^{39} - 284 q^{40} - 102 q^{42} - 156 q^{43} - 72 q^{45} - 22 q^{46} + 30 q^{48} - 30 q^{49} + 111 q^{51} + 326 q^{52} + 1046 q^{54} - 172 q^{55} + 281 q^{57} - 116 q^{58} + 54 q^{60} - 126 q^{61} - 138 q^{63} + 236 q^{64} - 236 q^{66} + 368 q^{67} + 198 q^{69} - 322 q^{70} - 562 q^{72} + 24 q^{73} - 21 q^{75} - 900 q^{76} - 492 q^{78} - 314 q^{79} - 388 q^{81} + 270 q^{84} + 318 q^{85} + 132 q^{87} + 1064 q^{88} + 176 q^{90} + 374 q^{91} - 10 q^{93} + 990 q^{94} - 332 q^{96} + 72 q^{97} - 530 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/33\mathbb{Z}\right)^\times\).

\(n\) \(13\) \(23\)
\(\chi(n)\) \(e\left(\frac{1}{5}\right)\) \(-1\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.974642 + 1.34148i −0.487321 + 0.670740i −0.979891 0.199533i \(-0.936057\pi\)
0.492570 + 0.870273i \(0.336057\pi\)
\(3\) 2.52902 1.61371i 0.843007 0.537902i
\(4\) 0.386428 + 1.18930i 0.0966070 + 0.297326i
\(5\) 0.410570 + 0.565101i 0.0821140 + 0.113020i 0.848098 0.529839i \(-0.177748\pi\)
−0.765984 + 0.642860i \(0.777748\pi\)
\(6\) −0.300138 + 4.96542i −0.0500229 + 0.827569i
\(7\) 0.806259 + 2.48141i 0.115180 + 0.354487i 0.991985 0.126360i \(-0.0403293\pi\)
−0.876805 + 0.480847i \(0.840329\pi\)
\(8\) −8.28007 2.69036i −1.03501 0.336295i
\(9\) 3.79191 8.16220i 0.421323 0.906911i
\(10\) −1.15823 −0.115823
\(11\) −4.26126 10.1411i −0.387387 0.921917i
\(12\) 2.89647 + 2.38419i 0.241372 + 0.198683i
\(13\) −13.8479 10.0611i −1.06522 0.773930i −0.0901753 0.995926i \(-0.528743\pi\)
−0.975048 + 0.221996i \(0.928743\pi\)
\(14\) −4.11458 1.33691i −0.293898 0.0954933i
\(15\) 1.95025 + 0.766614i 0.130017 + 0.0511076i
\(16\) 7.63243 5.54529i 0.477027 0.346580i
\(17\) 9.47072 + 13.0353i 0.557101 + 0.766784i 0.990954 0.134200i \(-0.0428464\pi\)
−0.433853 + 0.900984i \(0.642846\pi\)
\(18\) 7.25367 + 13.0420i 0.402981 + 0.724555i
\(19\) −4.92151 + 15.1469i −0.259027 + 0.797203i 0.733983 + 0.679168i \(0.237659\pi\)
−0.993009 + 0.118035i \(0.962341\pi\)
\(20\) −0.513421 + 0.706663i −0.0256710 + 0.0353331i
\(21\) 6.04332 + 4.97448i 0.287777 + 0.236880i
\(22\) 17.7573 + 4.16754i 0.807148 + 0.189434i
\(23\) 23.1295i 1.00563i 0.864395 + 0.502814i \(0.167702\pi\)
−0.864395 + 0.502814i \(0.832298\pi\)
\(24\) −25.2819 + 6.55762i −1.05341 + 0.273234i
\(25\) 7.57465 23.3124i 0.302986 0.932495i
\(26\) 26.9935 8.77071i 1.03821 0.337335i
\(27\) −3.58157 26.7614i −0.132651 0.991163i
\(28\) −2.63959 + 1.91777i −0.0942710 + 0.0684919i
\(29\) 5.10329 1.65816i 0.175976 0.0571779i −0.219704 0.975567i \(-0.570509\pi\)
0.395679 + 0.918389i \(0.370509\pi\)
\(30\) −2.92919 + 1.86904i −0.0976397 + 0.0623014i
\(31\) 3.28671 + 2.38793i 0.106023 + 0.0770301i 0.639533 0.768763i \(-0.279128\pi\)
−0.533511 + 0.845793i \(0.679128\pi\)
\(32\) 19.1813i 0.599415i
\(33\) −27.1415 18.7706i −0.822471 0.568807i
\(34\) −26.7172 −0.785799
\(35\) −1.07122 + 1.47441i −0.0306064 + 0.0421260i
\(36\) 11.1726 + 1.35562i 0.310351 + 0.0376562i
\(37\) 19.6322 + 60.4217i 0.530600 + 1.63302i 0.752968 + 0.658057i \(0.228621\pi\)
−0.222368 + 0.974963i \(0.571379\pi\)
\(38\) −15.5225 21.3649i −0.408486 0.562233i
\(39\) −51.2573 3.09828i −1.31429 0.0794430i
\(40\) −1.87922 5.78366i −0.0469806 0.144591i
\(41\) 64.1371 + 20.8394i 1.56432 + 0.508278i 0.957958 0.286910i \(-0.0926281\pi\)
0.606362 + 0.795188i \(0.292628\pi\)
\(42\) −12.5632 + 3.25865i −0.299124 + 0.0775869i
\(43\) −22.6622 −0.527028 −0.263514 0.964656i \(-0.584882\pi\)
−0.263514 + 0.964656i \(0.584882\pi\)
\(44\) 10.4142 8.98672i 0.236685 0.204244i
\(45\) 6.16931 1.20834i 0.137096 0.0268521i
\(46\) −31.0277 22.5429i −0.674515 0.490064i
\(47\) −70.2078 22.8119i −1.49378 0.485360i −0.555585 0.831460i \(-0.687506\pi\)
−0.938198 + 0.346100i \(0.887506\pi\)
\(48\) 10.3541 26.3407i 0.215711 0.548764i
\(49\) 34.1345 24.8002i 0.696622 0.506126i
\(50\) 23.8905 + 32.8825i 0.477810 + 0.657649i
\(51\) 44.9868 + 17.6837i 0.882095 + 0.346739i
\(52\) 6.61446 20.3572i 0.127201 0.391485i
\(53\) −25.1873 + 34.6673i −0.475232 + 0.654100i −0.977580 0.210565i \(-0.932470\pi\)
0.502348 + 0.864666i \(0.332470\pi\)
\(54\) 39.3906 + 21.2782i 0.729456 + 0.394040i
\(55\) 3.98120 6.57167i 0.0723854 0.119485i
\(56\) 22.7154i 0.405632i
\(57\) 11.9960 + 46.2486i 0.210455 + 0.811379i
\(58\) −2.74949 + 8.46207i −0.0474051 + 0.145898i
\(59\) −27.3316 + 8.88056i −0.463247 + 0.150518i −0.531336 0.847161i \(-0.678310\pi\)
0.0680891 + 0.997679i \(0.478310\pi\)
\(60\) −0.158106 + 2.61568i −0.00263510 + 0.0435946i
\(61\) 37.4585 27.2152i 0.614074 0.446151i −0.236772 0.971565i \(-0.576090\pi\)
0.850847 + 0.525414i \(0.176090\pi\)
\(62\) −6.40673 + 2.08167i −0.103334 + 0.0335753i
\(63\) 23.3110 + 2.82843i 0.370016 + 0.0448957i
\(64\) 56.2610 + 40.8760i 0.879079 + 0.638688i
\(65\) 11.9562i 0.183942i
\(66\) 51.6337 18.1152i 0.782329 0.274472i
\(67\) −77.2821 −1.15346 −0.576732 0.816933i \(-0.695672\pi\)
−0.576732 + 0.816933i \(0.695672\pi\)
\(68\) −11.8432 + 16.3008i −0.174165 + 0.239717i
\(69\) 37.3241 + 58.4949i 0.540929 + 0.847752i
\(70\) −0.933834 2.87405i −0.0133405 0.0410578i
\(71\) 24.2537 + 33.3824i 0.341601 + 0.470174i 0.944908 0.327335i \(-0.106151\pi\)
−0.603307 + 0.797509i \(0.706151\pi\)
\(72\) −53.3565 + 57.3820i −0.741062 + 0.796972i
\(73\) −17.5438 53.9942i −0.240326 0.739647i −0.996370 0.0851266i \(-0.972871\pi\)
0.756044 0.654521i \(-0.227129\pi\)
\(74\) −100.189 32.5533i −1.35390 0.439910i
\(75\) −18.4629 71.1808i −0.246172 0.949077i
\(76\) −19.9160 −0.262053
\(77\) 21.7285 18.7503i 0.282189 0.243510i
\(78\) 54.1137 65.7409i 0.693766 0.842831i
\(79\) 41.1994 + 29.9331i 0.521512 + 0.378901i 0.817173 0.576392i \(-0.195540\pi\)
−0.295661 + 0.955293i \(0.595540\pi\)
\(80\) 6.26730 + 2.03637i 0.0783412 + 0.0254546i
\(81\) −52.2429 61.9006i −0.644974 0.764205i
\(82\) −90.4664 + 65.7277i −1.10325 + 0.801557i
\(83\) −34.8026 47.9017i −0.419309 0.577129i 0.546149 0.837688i \(-0.316093\pi\)
−0.965458 + 0.260559i \(0.916093\pi\)
\(84\) −3.58085 + 9.10961i −0.0426292 + 0.108448i
\(85\) −3.47788 + 10.7038i −0.0409163 + 0.125927i
\(86\) 22.0875 30.4009i 0.256832 0.353499i
\(87\) 10.2306 12.4287i 0.117593 0.142859i
\(88\) 8.00033 + 95.4332i 0.0909128 + 1.08447i
\(89\) 38.1909i 0.429112i −0.976712 0.214556i \(-0.931170\pi\)
0.976712 0.214556i \(-0.0688304\pi\)
\(90\) −4.39190 + 9.45370i −0.0487989 + 0.105041i
\(91\) 13.8007 42.4742i 0.151656 0.466749i
\(92\) −27.5079 + 8.93786i −0.298999 + 0.0971507i
\(93\) 12.1656 + 0.735356i 0.130813 + 0.00790705i
\(94\) 99.0291 71.9489i 1.05350 0.765414i
\(95\) −10.5801 + 3.43769i −0.111370 + 0.0361862i
\(96\) −30.9530 48.5099i −0.322427 0.505312i
\(97\) −13.1808 9.57644i −0.135885 0.0987262i 0.517766 0.855522i \(-0.326764\pi\)
−0.653651 + 0.756796i \(0.726764\pi\)
\(98\) 69.9620i 0.713898i
\(99\) −98.9318 3.67286i −0.999312 0.0370996i
\(100\) 30.6525 0.306525
\(101\) 61.2440 84.2951i 0.606376 0.834605i −0.389897 0.920858i \(-0.627490\pi\)
0.996273 + 0.0862537i \(0.0274895\pi\)
\(102\) −67.5683 + 43.1137i −0.662435 + 0.422683i
\(103\) 16.8125 + 51.7437i 0.163229 + 0.502366i 0.998901 0.0468618i \(-0.0149220\pi\)
−0.835673 + 0.549227i \(0.814922\pi\)
\(104\) 87.5936 + 120.562i 0.842246 + 1.15925i
\(105\) −0.329879 + 5.45746i −0.00314171 + 0.0519758i
\(106\) −21.9569 67.5764i −0.207141 0.637514i
\(107\) 27.0164 + 8.77818i 0.252490 + 0.0820390i 0.432527 0.901621i \(-0.357622\pi\)
−0.180037 + 0.983660i \(0.557622\pi\)
\(108\) 30.4434 14.6009i 0.281883 0.135194i
\(109\) −41.2540 −0.378477 −0.189238 0.981931i \(-0.560602\pi\)
−0.189238 + 0.981931i \(0.560602\pi\)
\(110\) 4.93551 + 11.7457i 0.0448683 + 0.106779i
\(111\) 147.153 + 121.127i 1.32570 + 1.09124i
\(112\) 19.9139 + 14.4683i 0.177802 + 0.129181i
\(113\) 138.072 + 44.8625i 1.22188 + 0.397013i 0.847766 0.530370i \(-0.177947\pi\)
0.374114 + 0.927383i \(0.377947\pi\)
\(114\) −73.7333 28.9835i −0.646783 0.254241i
\(115\) −13.0705 + 9.49626i −0.113656 + 0.0825762i
\(116\) 3.94411 + 5.42860i 0.0340009 + 0.0467983i
\(117\) −134.630 + 74.8786i −1.15069 + 0.639988i
\(118\) 14.7254 45.3201i 0.124791 0.384069i
\(119\) −24.7101 + 34.0106i −0.207648 + 0.285803i
\(120\) −14.0857 11.5945i −0.117381 0.0966207i
\(121\) −84.6834 + 86.4275i −0.699863 + 0.714277i
\(122\) 76.7749i 0.629303i
\(123\) 195.833 50.7951i 1.59214 0.412968i
\(124\) −1.56990 + 4.83165i −0.0126605 + 0.0389650i
\(125\) 32.8917 10.6872i 0.263134 0.0854973i
\(126\) −26.5142 + 28.5146i −0.210430 + 0.226306i
\(127\) 147.873 107.436i 1.16436 0.845955i 0.174034 0.984740i \(-0.444320\pi\)
0.990323 + 0.138785i \(0.0443197\pi\)
\(128\) −36.6987 + 11.9241i −0.286709 + 0.0931574i
\(129\) −57.3132 + 36.5701i −0.444289 + 0.283489i
\(130\) 16.0391 + 11.6531i 0.123377 + 0.0896389i
\(131\) 84.5109i 0.645121i −0.946549 0.322561i \(-0.895456\pi\)
0.946549 0.322561i \(-0.104544\pi\)
\(132\) 11.8357 39.5330i 0.0896645 0.299492i
\(133\) −41.5536 −0.312433
\(134\) 75.3223 103.672i 0.562107 0.773674i
\(135\) 13.6524 13.0114i 0.101129 0.0963806i
\(136\) −43.3485 133.413i −0.318739 0.980978i
\(137\) −120.127 165.341i −0.876841 1.20687i −0.977286 0.211925i \(-0.932027\pi\)
0.100445 0.994943i \(-0.467973\pi\)
\(138\) −114.847 6.94202i −0.832227 0.0503045i
\(139\) −15.5254 47.7824i −0.111694 0.343758i 0.879549 0.475808i \(-0.157844\pi\)
−0.991243 + 0.132050i \(0.957844\pi\)
\(140\) −2.16747 0.704254i −0.0154819 0.00503039i
\(141\) −214.369 + 55.6029i −1.52035 + 0.394347i
\(142\) −68.4204 −0.481834
\(143\) −43.0210 + 183.306i −0.300846 + 1.28186i
\(144\) −16.3203 83.3246i −0.113335 0.578643i
\(145\) 3.03229 + 2.20308i 0.0209123 + 0.0151937i
\(146\) 89.5311 + 29.0904i 0.613227 + 0.199249i
\(147\) 46.3067 117.803i 0.315012 0.801382i
\(148\) −64.2733 + 46.6973i −0.434279 + 0.315522i
\(149\) −92.5187 127.341i −0.620931 0.854638i 0.376490 0.926421i \(-0.377131\pi\)
−0.997420 + 0.0717830i \(0.977131\pi\)
\(150\) 113.482 + 44.6082i 0.756548 + 0.297388i
\(151\) −52.9598 + 162.993i −0.350727 + 1.07943i 0.607719 + 0.794152i \(0.292085\pi\)
−0.958446 + 0.285274i \(0.907915\pi\)
\(152\) 81.5009 112.176i 0.536190 0.738002i
\(153\) 142.309 27.8731i 0.930124 0.182177i
\(154\) 3.97557 + 47.4232i 0.0258154 + 0.307943i
\(155\) 2.83774i 0.0183080i
\(156\) −16.1224 62.1577i −0.103349 0.398447i
\(157\) −20.1905 + 62.1401i −0.128602 + 0.395797i −0.994540 0.104355i \(-0.966722\pi\)
0.865938 + 0.500151i \(0.166722\pi\)
\(158\) −80.3094 + 26.0941i −0.508287 + 0.165153i
\(159\) −7.75634 + 128.319i −0.0487820 + 0.807040i
\(160\) 10.8394 7.87526i 0.0677461 0.0492204i
\(161\) −57.3937 + 18.6483i −0.356483 + 0.115828i
\(162\) 133.956 9.75188i 0.826892 0.0601968i
\(163\) 12.4900 + 9.07449i 0.0766256 + 0.0556717i 0.625439 0.780273i \(-0.284920\pi\)
−0.548813 + 0.835945i \(0.684920\pi\)
\(164\) 84.3314i 0.514216i
\(165\) −0.536201 23.0444i −0.00324970 0.139663i
\(166\) 98.1792 0.591441
\(167\) −90.5798 + 124.672i −0.542394 + 0.746542i −0.988956 0.148211i \(-0.952648\pi\)
0.446561 + 0.894753i \(0.352648\pi\)
\(168\) −36.6559 57.4477i −0.218190 0.341951i
\(169\) 38.3149 + 117.921i 0.226715 + 0.697758i
\(170\) −10.9693 15.0979i −0.0645251 0.0888112i
\(171\) 104.970 + 97.6058i 0.613858 + 0.570794i
\(172\) −8.75731 26.9522i −0.0509146 0.156699i
\(173\) 23.8744 + 7.75725i 0.138002 + 0.0448396i 0.377204 0.926130i \(-0.376886\pi\)
−0.239202 + 0.970970i \(0.576886\pi\)
\(174\) 6.70176 + 25.8376i 0.0385159 + 0.148492i
\(175\) 63.9548 0.365456
\(176\) −88.7590 53.7713i −0.504312 0.305519i
\(177\) −54.7915 + 66.5642i −0.309556 + 0.376069i
\(178\) 51.2323 + 37.2225i 0.287822 + 0.209115i
\(179\) −58.7800 19.0988i −0.328380 0.106697i 0.140187 0.990125i \(-0.455230\pi\)
−0.468567 + 0.883428i \(0.655230\pi\)
\(180\) 3.82108 + 6.87024i 0.0212282 + 0.0381680i
\(181\) 120.062 87.2301i 0.663325 0.481934i −0.204459 0.978875i \(-0.565544\pi\)
0.867784 + 0.496941i \(0.165544\pi\)
\(182\) 43.5275 + 59.9104i 0.239162 + 0.329178i
\(183\) 50.8161 129.275i 0.277684 0.706420i
\(184\) 62.2265 191.513i 0.338187 1.04083i
\(185\) −26.0840 + 35.9015i −0.140995 + 0.194062i
\(186\) −12.8435 + 15.6032i −0.0690513 + 0.0838880i
\(187\) 91.8353 151.590i 0.491098 0.810643i
\(188\) 92.3135i 0.491029i
\(189\) 63.5184 30.4640i 0.336076 0.161185i
\(190\) 5.70024 17.5435i 0.0300013 0.0923344i
\(191\) −53.4521 + 17.3676i −0.279854 + 0.0909301i −0.445581 0.895242i \(-0.647003\pi\)
0.165727 + 0.986172i \(0.447003\pi\)
\(192\) 208.247 + 12.5876i 1.08462 + 0.0655606i
\(193\) −122.139 + 88.7392i −0.632844 + 0.459788i −0.857384 0.514676i \(-0.827912\pi\)
0.224540 + 0.974465i \(0.427912\pi\)
\(194\) 25.6932 8.34822i 0.132439 0.0430321i
\(195\) −19.2939 30.2376i −0.0989429 0.155065i
\(196\) 42.6854 + 31.0128i 0.217783 + 0.158228i
\(197\) 22.3374i 0.113388i 0.998392 + 0.0566938i \(0.0180559\pi\)
−0.998392 + 0.0566938i \(0.981944\pi\)
\(198\) 101.350 129.135i 0.511870 0.652198i
\(199\) −150.930 −0.758444 −0.379222 0.925306i \(-0.623808\pi\)
−0.379222 + 0.925306i \(0.623808\pi\)
\(200\) −125.437 + 172.650i −0.627186 + 0.863248i
\(201\) −195.448 + 124.711i −0.972379 + 0.620450i
\(202\) 53.3892 + 164.315i 0.264303 + 0.813441i
\(203\) 8.22915 + 11.3265i 0.0405377 + 0.0557954i
\(204\) −3.64707 + 60.3364i −0.0178778 + 0.295767i
\(205\) 14.5564 + 44.8000i 0.0710068 + 0.218537i
\(206\) −85.7993 27.8779i −0.416501 0.135329i
\(207\) 188.787 + 87.7047i 0.912015 + 0.423694i
\(208\) −161.485 −0.776369
\(209\) 174.577 14.6351i 0.835299 0.0700245i
\(210\) −6.99955 5.76159i −0.0333312 0.0274362i
\(211\) −146.900 106.729i −0.696207 0.505824i 0.182488 0.983208i \(-0.441585\pi\)
−0.878695 + 0.477384i \(0.841585\pi\)
\(212\) −50.9630 16.5589i −0.240392 0.0781079i
\(213\) 115.207 + 45.2864i 0.540880 + 0.212612i
\(214\) −38.1071 + 27.6864i −0.178071 + 0.129376i
\(215\) −9.30442 12.8064i −0.0432764 0.0595648i
\(216\) −42.3421 + 231.222i −0.196028 + 1.07047i
\(217\) −3.27551 + 10.0810i −0.0150945 + 0.0464561i
\(218\) 40.2078 55.3414i 0.184440 0.253859i
\(219\) −131.499 108.242i −0.600454 0.494256i
\(220\) 9.35415 + 2.19537i 0.0425189 + 0.00997897i
\(221\) 275.798i 1.24795i
\(222\) −305.911 + 79.3473i −1.37798 + 0.357420i
\(223\) 58.1059 178.831i 0.260564 0.801935i −0.732118 0.681178i \(-0.761468\pi\)
0.992682 0.120757i \(-0.0385321\pi\)
\(224\) 47.5967 15.4651i 0.212485 0.0690406i
\(225\) −161.558 150.224i −0.718035 0.667663i
\(226\) −194.753 + 141.497i −0.861740 + 0.626091i
\(227\) 408.219 132.638i 1.79832 0.584310i 0.798478 0.602024i \(-0.205639\pi\)
0.999843 + 0.0177135i \(0.00563869\pi\)
\(228\) −50.3680 + 32.1386i −0.220912 + 0.140959i
\(229\) −109.845 79.8068i −0.479671 0.348501i 0.321527 0.946900i \(-0.395804\pi\)
−0.801198 + 0.598399i \(0.795804\pi\)
\(230\) 26.7892i 0.116475i
\(231\) 24.6945 82.4833i 0.106903 0.357071i
\(232\) −46.7166 −0.201365
\(233\) −192.141 + 264.459i −0.824638 + 1.13502i 0.164259 + 0.986417i \(0.447477\pi\)
−0.988897 + 0.148600i \(0.952523\pi\)
\(234\) 30.7685 253.584i 0.131489 1.08369i
\(235\) −15.9342 49.0404i −0.0678051 0.208683i
\(236\) −21.1233 29.0738i −0.0895057 0.123194i
\(237\) 152.498 + 9.21781i 0.643450 + 0.0388937i
\(238\) −21.5410 66.2963i −0.0905083 0.278556i
\(239\) 88.8791 + 28.8786i 0.371879 + 0.120831i 0.488993 0.872288i \(-0.337364\pi\)
−0.117114 + 0.993118i \(0.537364\pi\)
\(240\) 19.1362 4.96355i 0.0797343 0.0206815i
\(241\) 206.766 0.857952 0.428976 0.903316i \(-0.358875\pi\)
0.428976 + 0.903316i \(0.358875\pi\)
\(242\) −33.4048 197.837i −0.138036 0.817508i
\(243\) −232.013 72.2432i −0.954785 0.297297i
\(244\) 46.8421 + 34.0328i 0.191976 + 0.139479i
\(245\) 28.0292 + 9.10724i 0.114405 + 0.0371724i
\(246\) −122.726 + 312.213i −0.498887 + 1.26916i
\(247\) 220.546 160.236i 0.892900 0.648730i
\(248\) −20.7898 28.6147i −0.0838297 0.115382i
\(249\) −165.316 64.9833i −0.663919 0.260977i
\(250\) −17.7210 + 54.5397i −0.0708841 + 0.218159i
\(251\) −1.64009 + 2.25739i −0.00653422 + 0.00899358i −0.812272 0.583279i \(-0.801769\pi\)
0.805737 + 0.592273i \(0.201769\pi\)
\(252\) 5.64417 + 28.8168i 0.0223975 + 0.114353i
\(253\) 234.558 98.5605i 0.927106 0.389567i
\(254\) 303.081i 1.19323i
\(255\) 8.47718 + 32.6825i 0.0332439 + 0.128167i
\(256\) −66.1871 + 203.703i −0.258543 + 0.795714i
\(257\) 380.619 123.671i 1.48101 0.481208i 0.546593 0.837398i \(-0.315924\pi\)
0.934414 + 0.356190i \(0.115924\pi\)
\(258\) 6.80178 112.527i 0.0263635 0.436152i
\(259\) −134.103 + 97.4312i −0.517770 + 0.376182i
\(260\) 14.2196 4.62022i 0.0546907 0.0177701i
\(261\) 5.81698 47.9416i 0.0222873 0.183684i
\(262\) 113.370 + 82.3678i 0.432708 + 0.314381i
\(263\) 379.212i 1.44187i 0.693003 + 0.720935i \(0.256287\pi\)
−0.693003 + 0.720935i \(0.743713\pi\)
\(264\) 174.234 + 228.443i 0.659978 + 0.865313i
\(265\) −29.9317 −0.112950
\(266\) 40.4999 55.7433i 0.152255 0.209561i
\(267\) −61.6289 96.5857i −0.230820 0.361744i
\(268\) −29.8639 91.9118i −0.111433 0.342954i
\(269\) 18.3393 + 25.2419i 0.0681760 + 0.0938362i 0.841743 0.539878i \(-0.181530\pi\)
−0.773567 + 0.633714i \(0.781530\pi\)
\(270\) 4.14828 + 30.9959i 0.0153640 + 0.114799i
\(271\) 160.104 + 492.748i 0.590788 + 1.81826i 0.574664 + 0.818390i \(0.305133\pi\)
0.0161246 + 0.999870i \(0.494867\pi\)
\(272\) 144.569 + 46.9734i 0.531505 + 0.172696i
\(273\) −33.6386 129.688i −0.123218 0.475049i
\(274\) 338.882 1.23680
\(275\) −268.691 + 22.5248i −0.977056 + 0.0819083i
\(276\) −55.1450 + 66.9937i −0.199801 + 0.242731i
\(277\) −297.684 216.280i −1.07467 0.780795i −0.0979254 0.995194i \(-0.531221\pi\)
−0.976746 + 0.214399i \(0.931221\pi\)
\(278\) 79.2308 + 25.7436i 0.285003 + 0.0926031i
\(279\) 31.9537 17.7719i 0.114529 0.0636987i
\(280\) 12.8365 9.32625i 0.0458446 0.0333081i
\(281\) 188.322 + 259.203i 0.670184 + 0.922429i 0.999765 0.0216982i \(-0.00690730\pi\)
−0.329580 + 0.944127i \(0.606907\pi\)
\(282\) 134.343 341.764i 0.476392 1.21193i
\(283\) −49.6883 + 152.925i −0.175577 + 0.540371i −0.999659 0.0260993i \(-0.991691\pi\)
0.824082 + 0.566470i \(0.191691\pi\)
\(284\) −30.3294 + 41.7449i −0.106794 + 0.146989i
\(285\) −21.2100 + 25.7672i −0.0744209 + 0.0904113i
\(286\) −203.971 236.369i −0.713184 0.826465i
\(287\) 175.953i 0.613075i
\(288\) −156.561 72.7337i −0.543616 0.252547i
\(289\) 9.08071 27.9475i 0.0314211 0.0967043i
\(290\) −5.91079 + 1.92053i −0.0203820 + 0.00662252i
\(291\) −48.7882 2.94903i −0.167657 0.0101341i
\(292\) 57.4361 41.7298i 0.196699 0.142910i
\(293\) −276.702 + 89.9060i −0.944377 + 0.306847i −0.740429 0.672135i \(-0.765377\pi\)
−0.203948 + 0.978982i \(0.565377\pi\)
\(294\) 112.898 + 176.935i 0.384007 + 0.601821i
\(295\) −16.2399 11.7990i −0.0550506 0.0399966i
\(296\) 553.114i 1.86863i
\(297\) −256.128 + 150.358i −0.862383 + 0.506256i
\(298\) 260.998 0.875832
\(299\) 232.707 320.294i 0.778286 1.07122i
\(300\) 77.5209 49.4642i 0.258403 0.164881i
\(301\) −18.2716 56.2343i −0.0607030 0.186825i
\(302\) −167.035 229.905i −0.553097 0.761273i
\(303\) 18.8599 312.014i 0.0622438 1.02975i
\(304\) 46.4306 + 142.899i 0.152732 + 0.470061i
\(305\) 30.7587 + 9.99411i 0.100848 + 0.0327676i
\(306\) −101.309 + 218.071i −0.331075 + 0.712650i
\(307\) −281.800 −0.917915 −0.458957 0.888458i \(-0.651777\pi\)
−0.458957 + 0.888458i \(0.651777\pi\)
\(308\) 30.6963 + 18.5962i 0.0996632 + 0.0603772i
\(309\) 126.018 + 103.730i 0.407826 + 0.335697i
\(310\) −3.80676 2.76578i −0.0122799 0.00892186i
\(311\) −450.565 146.398i −1.44876 0.470732i −0.524146 0.851628i \(-0.675615\pi\)
−0.924618 + 0.380897i \(0.875615\pi\)
\(312\) 416.078 + 163.554i 1.33358 + 0.524212i
\(313\) 24.2496 17.6184i 0.0774748 0.0562887i −0.548374 0.836233i \(-0.684753\pi\)
0.625848 + 0.779945i \(0.284753\pi\)
\(314\) −63.6811 87.6495i −0.202806 0.279139i
\(315\) 7.97246 + 14.3344i 0.0253094 + 0.0455059i
\(316\) −19.6790 + 60.5656i −0.0622752 + 0.191663i
\(317\) −93.6204 + 128.857i −0.295333 + 0.406490i −0.930737 0.365689i \(-0.880833\pi\)
0.635405 + 0.772179i \(0.280833\pi\)
\(318\) −164.578 135.470i −0.517541 0.426007i
\(319\) −38.5620 44.6871i −0.120884 0.140085i
\(320\) 48.5757i 0.151799i
\(321\) 82.4906 21.3964i 0.256980 0.0666555i
\(322\) 30.9219 95.1679i 0.0960308 0.295552i
\(323\) −244.054 + 79.2981i −0.755586 + 0.245505i
\(324\) 53.4304 86.0527i 0.164909 0.265595i
\(325\) −339.441 + 246.618i −1.04443 + 0.758825i
\(326\) −24.3465 + 7.91065i −0.0746825 + 0.0242658i
\(327\) −104.332 + 66.5718i −0.319059 + 0.203583i
\(328\) −474.994 345.103i −1.44815 1.05214i
\(329\) 192.607i 0.585431i
\(330\) 31.4362 + 21.7407i 0.0952611 + 0.0658809i
\(331\) 332.709 1.00516 0.502582 0.864530i \(-0.332384\pi\)
0.502582 + 0.864530i \(0.332384\pi\)
\(332\) 43.5209 59.9014i 0.131087 0.180426i
\(333\) 567.617 + 68.8716i 1.70456 + 0.206822i
\(334\) −78.9626 243.022i −0.236415 0.727611i
\(335\) −31.7297 43.6722i −0.0947155 0.130365i
\(336\) 73.7101 + 4.45545i 0.219375 + 0.0132603i
\(337\) 17.1212 + 52.6936i 0.0508047 + 0.156361i 0.973240 0.229791i \(-0.0738042\pi\)
−0.922435 + 0.386152i \(0.873804\pi\)
\(338\) −195.532 63.5322i −0.578497 0.187965i
\(339\) 421.583 109.350i 1.24361 0.322567i
\(340\) −14.0740 −0.0413942
\(341\) 10.2107 43.5064i 0.0299435 0.127585i
\(342\) −233.244 + 45.6840i −0.682000 + 0.133579i
\(343\) 192.491 + 139.853i 0.561197 + 0.407733i
\(344\) 187.645 + 60.9694i 0.545478 + 0.177237i
\(345\) −17.7314 + 45.1082i −0.0513953 + 0.130748i
\(346\) −33.6751 + 24.4664i −0.0973270 + 0.0707122i
\(347\) 81.4326 + 112.082i 0.234676 + 0.323004i 0.910071 0.414452i \(-0.136027\pi\)
−0.675395 + 0.737456i \(0.736027\pi\)
\(348\) 18.7349 + 7.36441i 0.0538359 + 0.0211621i
\(349\) 69.9974 215.430i 0.200566 0.617277i −0.799301 0.600931i \(-0.794797\pi\)
0.999866 0.0163462i \(-0.00520338\pi\)
\(350\) −62.3330 + 85.7940i −0.178094 + 0.245126i
\(351\) −219.652 + 406.624i −0.625788 + 1.15847i
\(352\) −194.519 + 81.7364i −0.552611 + 0.232206i
\(353\) 258.939i 0.733538i 0.930312 + 0.366769i \(0.119536\pi\)
−0.930312 + 0.366769i \(0.880464\pi\)
\(354\) −35.8925 138.378i −0.101391 0.390898i
\(355\) −8.90657 + 27.4116i −0.0250889 + 0.0772157i
\(356\) 45.4206 14.7580i 0.127586 0.0414552i
\(357\) −7.60940 + 125.888i −0.0213149 + 0.352629i
\(358\) 82.9101 60.2377i 0.231592 0.168262i
\(359\) −246.358 + 80.0466i −0.686234 + 0.222971i −0.631323 0.775520i \(-0.717488\pi\)
−0.0549113 + 0.998491i \(0.517488\pi\)
\(360\) −54.3332 6.59249i −0.150925 0.0183125i
\(361\) 86.8492 + 63.0996i 0.240580 + 0.174791i
\(362\) 246.079i 0.679775i
\(363\) −74.6976 + 355.231i −0.205778 + 0.978599i
\(364\) 55.8476 0.153428
\(365\) 23.3093 32.0824i 0.0638610 0.0878971i
\(366\) 123.892 + 194.165i 0.338503 + 0.530507i
\(367\) −61.4255 189.048i −0.167372 0.515118i 0.831831 0.555029i \(-0.187293\pi\)
−0.999203 + 0.0399105i \(0.987293\pi\)
\(368\) 128.259 + 176.534i 0.348531 + 0.479712i
\(369\) 413.297 444.479i 1.12005 1.20455i
\(370\) −22.7386 69.9823i −0.0614557 0.189141i
\(371\) −106.331 34.5492i −0.286607 0.0931244i
\(372\) 3.82656 + 14.7527i 0.0102864 + 0.0396578i
\(373\) 670.467 1.79750 0.898750 0.438462i \(-0.144477\pi\)
0.898750 + 0.438462i \(0.144477\pi\)
\(374\) 113.849 + 270.941i 0.304408 + 0.724442i
\(375\) 65.9379 80.1056i 0.175834 0.213615i
\(376\) 519.953 + 377.768i 1.38285 + 1.00470i
\(377\) −87.3527 28.3826i −0.231705 0.0752855i
\(378\) −21.0409 + 114.900i −0.0556636 + 0.303968i
\(379\) −317.451 + 230.642i −0.837601 + 0.608553i −0.921700 0.387905i \(-0.873199\pi\)
0.0840983 + 0.996457i \(0.473199\pi\)
\(380\) −8.17691 11.2546i −0.0215182 0.0296173i
\(381\) 200.604 510.333i 0.526521 1.33946i
\(382\) 28.7983 88.6321i 0.0753883 0.232021i
\(383\) 292.542 402.649i 0.763817 1.05130i −0.233070 0.972460i \(-0.574877\pi\)
0.996887 0.0788436i \(-0.0251228\pi\)
\(384\) −73.5699 + 89.3774i −0.191588 + 0.232754i
\(385\) 19.5169 + 4.58052i 0.0506932 + 0.0118975i
\(386\) 250.336i 0.648538i
\(387\) −85.9330 + 184.973i −0.222049 + 0.477967i
\(388\) 6.29584 19.3766i 0.0162264 0.0499397i
\(389\) −392.101 + 127.401i −1.00797 + 0.327510i −0.766047 0.642785i \(-0.777779\pi\)
−0.241926 + 0.970295i \(0.577779\pi\)
\(390\) 59.3677 + 3.58852i 0.152225 + 0.00920133i
\(391\) −301.500 + 219.053i −0.771100 + 0.560237i
\(392\) −349.357 + 113.513i −0.891217 + 0.289574i
\(393\) −136.376 213.730i −0.347012 0.543842i
\(394\) −29.9651 21.7709i −0.0760535 0.0552561i
\(395\) 35.5715i 0.0900544i
\(396\) −33.8619 119.079i −0.0855098 0.300705i
\(397\) 171.230 0.431310 0.215655 0.976470i \(-0.430811\pi\)
0.215655 + 0.976470i \(0.430811\pi\)
\(398\) 147.103 202.470i 0.369605 0.508718i
\(399\) −105.090 + 67.0553i −0.263383 + 0.168058i
\(400\) −71.4608 219.934i −0.178652 0.549835i
\(401\) 426.743 + 587.361i 1.06420 + 1.46474i 0.875816 + 0.482646i \(0.160324\pi\)
0.188382 + 0.982096i \(0.439676\pi\)
\(402\) 23.1953 383.738i 0.0576996 0.954571i
\(403\) −21.4888 66.1357i −0.0533221 0.164108i
\(404\) 123.919 + 40.2636i 0.306729 + 0.0996624i
\(405\) 13.5307 54.9370i 0.0334092 0.135647i
\(406\) −23.2147 −0.0571790
\(407\) 529.084 456.564i 1.29996 1.12178i
\(408\) −324.919 267.453i −0.796369 0.655521i
\(409\) −243.830 177.153i −0.596161 0.433137i 0.248353 0.968670i \(-0.420111\pi\)
−0.844514 + 0.535533i \(0.820111\pi\)
\(410\) −74.2855 24.1368i −0.181184 0.0588703i
\(411\) −570.616 224.301i −1.38836 0.545744i
\(412\) −55.0420 + 39.9904i −0.133597 + 0.0970640i
\(413\) −44.0727 60.6608i −0.106713 0.146878i
\(414\) −301.654 + 167.773i −0.728633 + 0.405250i
\(415\) 12.7804 39.3340i 0.0307961 0.0947808i
\(416\) −192.985 + 265.621i −0.463905 + 0.638511i
\(417\) −116.371 95.7892i −0.279067 0.229710i
\(418\) −150.518 + 248.456i −0.360090 + 0.594392i
\(419\) 573.195i 1.36801i −0.729478 0.684004i \(-0.760237\pi\)
0.729478 0.684004i \(-0.239763\pi\)
\(420\) −6.61804 + 1.71659i −0.0157572 + 0.00408711i
\(421\) −172.827 + 531.908i −0.410516 + 1.26344i 0.505684 + 0.862719i \(0.331240\pi\)
−0.916200 + 0.400721i \(0.868760\pi\)
\(422\) 286.349 93.0404i 0.678552 0.220475i
\(423\) −452.417 + 486.549i −1.06954 + 1.15023i
\(424\) 301.820 219.285i 0.711839 0.517182i
\(425\) 375.622 122.047i 0.883816 0.287169i
\(426\) −173.037 + 110.410i −0.406190 + 0.259179i
\(427\) 97.7334 + 71.0075i 0.228884 + 0.166294i
\(428\) 35.5229i 0.0829973i
\(429\) 187.000 + 533.007i 0.435898 + 1.24244i
\(430\) 26.2480 0.0610420
\(431\) 117.467 161.680i 0.272546 0.375127i −0.650701 0.759334i \(-0.725525\pi\)
0.923247 + 0.384207i \(0.125525\pi\)
\(432\) −175.736 184.394i −0.406796 0.426837i
\(433\) −31.9791 98.4214i −0.0738547 0.227301i 0.907314 0.420453i \(-0.138129\pi\)
−0.981169 + 0.193152i \(0.938129\pi\)
\(434\) −10.3310 14.2194i −0.0238041 0.0327635i
\(435\) 11.2238 + 0.678432i 0.0258020 + 0.00155961i
\(436\) −15.9417 49.0635i −0.0365635 0.112531i
\(437\) −350.338 113.832i −0.801690 0.260485i
\(438\) 273.369 70.9065i 0.624131 0.161887i
\(439\) −662.550 −1.50923 −0.754613 0.656171i \(-0.772175\pi\)
−0.754613 + 0.656171i \(0.772175\pi\)
\(440\) −50.6447 + 43.7030i −0.115102 + 0.0993250i
\(441\) −72.9890 372.652i −0.165508 0.845016i
\(442\) 369.977 + 268.804i 0.837051 + 0.608153i
\(443\) 200.511 + 65.1499i 0.452620 + 0.147065i 0.526451 0.850206i \(-0.323522\pi\)
−0.0738308 + 0.997271i \(0.523522\pi\)
\(444\) −87.1929 + 221.817i −0.196380 + 0.499587i
\(445\) 21.5817 15.6801i 0.0484983 0.0352361i
\(446\) 183.266 + 252.244i 0.410911 + 0.565570i
\(447\) −439.473 172.750i −0.983161 0.386466i
\(448\) −56.0693 + 172.563i −0.125155 + 0.385186i
\(449\) −140.640 + 193.574i −0.313229 + 0.431123i −0.936385 0.350975i \(-0.885850\pi\)
0.623156 + 0.782098i \(0.285850\pi\)
\(450\) 358.984 70.3118i 0.797742 0.156248i
\(451\) −61.9703 739.222i −0.137406 1.63907i
\(452\) 181.546i 0.401651i
\(453\) 129.087 + 497.675i 0.284960 + 1.09862i
\(454\) −219.936 + 676.892i −0.484440 + 1.49095i
\(455\) 29.6684 9.63983i 0.0652052 0.0211864i
\(456\) 25.0979 415.215i 0.0550393 0.910559i
\(457\) −21.5908 + 15.6866i −0.0472446 + 0.0343252i −0.611157 0.791509i \(-0.709296\pi\)
0.563912 + 0.825835i \(0.309296\pi\)
\(458\) 214.118 69.5713i 0.467507 0.151902i
\(459\) 314.923 300.137i 0.686108 0.653892i
\(460\) −16.3447 11.8751i −0.0355320 0.0258155i
\(461\) 393.125i 0.852766i −0.904543 0.426383i \(-0.859788\pi\)
0.904543 0.426383i \(-0.140212\pi\)
\(462\) 86.5814 + 113.519i 0.187406 + 0.245712i
\(463\) 106.954 0.231002 0.115501 0.993307i \(-0.463153\pi\)
0.115501 + 0.993307i \(0.463153\pi\)
\(464\) 29.7556 40.9550i 0.0641283 0.0882651i
\(465\) 4.57927 + 7.17670i 0.00984790 + 0.0154338i
\(466\) −167.498 515.506i −0.359438 1.10624i
\(467\) 248.580 + 342.141i 0.532291 + 0.732636i 0.987477 0.157760i \(-0.0504274\pi\)
−0.455186 + 0.890396i \(0.650427\pi\)
\(468\) −141.078 131.181i −0.301449 0.280302i
\(469\) −62.3094 191.769i −0.132856 0.408888i
\(470\) 81.3168 + 26.4214i 0.173014 + 0.0562158i
\(471\) 49.2135 + 189.735i 0.104487 + 0.402835i
\(472\) 250.199 0.530083
\(473\) 96.5694 + 229.819i 0.204164 + 0.485876i
\(474\) −160.996 + 195.588i −0.339654 + 0.412634i
\(475\) 315.831 + 229.464i 0.664906 + 0.483083i
\(476\) −49.9976 16.2452i −0.105037 0.0341286i
\(477\) 187.454 + 337.039i 0.392985 + 0.706580i
\(478\) −125.365 + 91.0832i −0.262270 + 0.190551i
\(479\) −317.236 436.638i −0.662289 0.911562i 0.337266 0.941409i \(-0.390498\pi\)
−0.999554 + 0.0298475i \(0.990498\pi\)
\(480\) 14.7046 37.4083i 0.0306347 0.0779339i
\(481\) 336.043 1034.24i 0.698635 2.15018i
\(482\) −201.523 + 277.373i −0.418098 + 0.575462i
\(483\) −115.057 + 139.779i −0.238213 + 0.289397i
\(484\) −135.513 67.3162i −0.279985 0.139083i
\(485\) 11.3803i 0.0234645i
\(486\) 323.042 240.829i 0.664696 0.495533i
\(487\) 188.700 580.759i 0.387474 1.19252i −0.547195 0.837005i \(-0.684304\pi\)
0.934669 0.355518i \(-0.115696\pi\)
\(488\) −383.378 + 124.567i −0.785610 + 0.255260i
\(489\) 46.2310 + 2.79446i 0.0945418 + 0.00571464i
\(490\) −39.5356 + 28.7243i −0.0806849 + 0.0586210i
\(491\) −54.0905 + 17.5751i −0.110164 + 0.0357944i −0.363580 0.931563i \(-0.618446\pi\)
0.253416 + 0.967357i \(0.418446\pi\)
\(492\) 136.086 + 213.276i 0.276598 + 0.433488i
\(493\) 69.9465 + 50.8191i 0.141879 + 0.103081i
\(494\) 452.031i 0.915043i
\(495\) −38.5429 57.4145i −0.0778645 0.115989i
\(496\) 38.3274 0.0772729
\(497\) −63.2806 + 87.0983i −0.127325 + 0.175248i
\(498\) 248.297 158.432i 0.498589 0.318137i
\(499\) 144.891 + 445.930i 0.290363 + 0.893646i 0.984740 + 0.174034i \(0.0556804\pi\)
−0.694376 + 0.719612i \(0.744320\pi\)
\(500\) 25.4205 + 34.9884i 0.0508411 + 0.0699767i
\(501\) −27.8937 + 461.469i −0.0556761 + 0.921095i
\(502\) −1.42974 4.40029i −0.00284809 0.00876552i
\(503\) 435.748 + 141.583i 0.866297 + 0.281477i 0.708256 0.705955i \(-0.249482\pi\)
0.158041 + 0.987433i \(0.449482\pi\)
\(504\) −185.407 86.1346i −0.367872 0.170902i
\(505\) 72.7802 0.144119
\(506\) −96.3930 + 410.716i −0.190500 + 0.811691i
\(507\) 287.189 + 236.396i 0.566448 + 0.466265i
\(508\) 184.917 + 134.350i 0.364009 + 0.264468i
\(509\) 261.397 + 84.9330i 0.513550 + 0.166862i 0.554316 0.832306i \(-0.312980\pi\)
−0.0407663 + 0.999169i \(0.512980\pi\)
\(510\) −52.1051 20.4818i −0.102167 0.0401603i
\(511\) 119.837 87.0667i 0.234515 0.170385i
\(512\) −299.479 412.197i −0.584920 0.805073i
\(513\) 422.978 + 77.4570i 0.824518 + 0.150988i
\(514\) −205.065 + 631.127i −0.398960 + 1.22787i
\(515\) −22.3377 + 30.7452i −0.0433741 + 0.0596994i
\(516\) −65.6404 54.0310i −0.127210 0.104711i
\(517\) 67.8358 + 809.191i 0.131211 + 1.56517i
\(518\) 274.856i 0.530610i
\(519\) 72.8967 18.9079i 0.140456 0.0364315i
\(520\) −32.1666 + 98.9985i −0.0618588 + 0.190382i
\(521\) −236.239 + 76.7587i −0.453434 + 0.147330i −0.526825 0.849974i \(-0.676618\pi\)
0.0733915 + 0.997303i \(0.476618\pi\)
\(522\) 58.6433 + 54.5293i 0.112343 + 0.104462i
\(523\) −113.737 + 82.6347i −0.217470 + 0.158001i −0.691187 0.722676i \(-0.742912\pi\)
0.473717 + 0.880677i \(0.342912\pi\)
\(524\) 100.509 32.6574i 0.191811 0.0623232i
\(525\) 161.743 103.204i 0.308082 0.196579i
\(526\) −508.705 369.596i −0.967119 0.702653i
\(527\) 65.4587i 0.124210i
\(528\) −311.245 + 7.24210i −0.589478 + 0.0137161i
\(529\) −5.97152 −0.0112883
\(530\) 29.1727 40.1527i 0.0550428 0.0757599i
\(531\) −31.1538 + 256.760i −0.0586701 + 0.483540i
\(532\) −16.0575 49.4198i −0.0301832 0.0928943i
\(533\) −678.497 933.871i −1.27298 1.75210i
\(534\) 189.634 + 11.4625i 0.355120 + 0.0214654i
\(535\) 6.13159 + 18.8711i 0.0114609 + 0.0352731i
\(536\) 639.901 + 207.916i 1.19384 + 0.387904i
\(537\) −179.476 + 46.5524i −0.334219 + 0.0866898i
\(538\) −51.7358 −0.0961633
\(539\) −396.956 240.481i −0.736468 0.446162i
\(540\) 20.7501 + 11.2089i 0.0384262 + 0.0207572i
\(541\) −486.149 353.208i −0.898612 0.652880i 0.0394969 0.999220i \(-0.487424\pi\)
−0.938109 + 0.346340i \(0.887424\pi\)
\(542\) −817.055 265.477i −1.50748 0.489811i
\(543\) 162.875 414.351i 0.299955 0.763078i
\(544\) 250.034 181.661i 0.459622 0.333935i
\(545\) −16.9376 23.3127i −0.0310782 0.0427755i
\(546\) 206.760 + 81.2743i 0.378681 + 0.148854i
\(547\) −191.860 + 590.485i −0.350750 + 1.07950i 0.607683 + 0.794180i \(0.292099\pi\)
−0.958433 + 0.285318i \(0.907901\pi\)
\(548\) 150.220 206.760i 0.274124 0.377299i
\(549\) −80.0967 408.941i −0.145896 0.744884i
\(550\) 231.660 382.396i 0.421201 0.695266i
\(551\) 85.4594i 0.155099i
\(552\) −151.674 584.757i −0.274772 1.05934i
\(553\) −41.0590 + 126.367i −0.0742478 + 0.228511i
\(554\) 580.271 188.541i 1.04742 0.340327i
\(555\) −8.03247 + 132.888i −0.0144729 + 0.239437i
\(556\) 50.8282 36.9289i 0.0914177 0.0664188i
\(557\) −513.595 + 166.877i −0.922074 + 0.299600i −0.731317 0.682037i \(-0.761094\pi\)
−0.190757 + 0.981637i \(0.561094\pi\)
\(558\) −7.30269 + 60.1865i −0.0130873 + 0.107861i
\(559\) 313.824 + 228.006i 0.561402 + 0.407883i
\(560\) 17.1936i 0.0307028i
\(561\) −12.3687 531.570i −0.0220476 0.947540i
\(562\) −531.261 −0.945305
\(563\) −163.796 + 225.446i −0.290934 + 0.400437i −0.929317 0.369282i \(-0.879604\pi\)
0.638383 + 0.769719i \(0.279604\pi\)
\(564\) −148.967 233.463i −0.264126 0.413941i
\(565\) 31.3366 + 96.4441i 0.0554630 + 0.170698i
\(566\) −156.717 215.703i −0.276886 0.381101i
\(567\) 111.479 179.544i 0.196613 0.316656i
\(568\) −111.012 341.659i −0.195443 0.601513i
\(569\) −1017.22 330.514i −1.78773 0.580869i −0.788321 0.615264i \(-0.789050\pi\)
−0.999408 + 0.0343952i \(0.989050\pi\)
\(570\) −13.8941 53.5665i −0.0243756 0.0939764i
\(571\) 470.660 0.824274 0.412137 0.911122i \(-0.364783\pi\)
0.412137 + 0.911122i \(0.364783\pi\)
\(572\) −234.630 + 19.6695i −0.410193 + 0.0343872i
\(573\) −107.155 + 130.179i −0.187007 + 0.227189i
\(574\) −236.037 171.491i −0.411214 0.298764i
\(575\) 539.203 + 175.198i 0.937744 + 0.304691i
\(576\) 546.975 304.216i 0.949609 0.528152i
\(577\) −185.383 + 134.689i −0.321288 + 0.233429i −0.736725 0.676193i \(-0.763629\pi\)
0.415437 + 0.909622i \(0.363629\pi\)
\(578\) 28.6406 + 39.4204i 0.0495512 + 0.0682014i
\(579\) −165.693 + 421.520i −0.286171 + 0.728013i
\(580\) −1.44837 + 4.45764i −0.00249720 + 0.00768558i
\(581\) 90.8039 124.981i 0.156289 0.215113i
\(582\) 51.5071 62.5741i 0.0885001 0.107516i
\(583\) 458.894 + 107.700i 0.787125 + 0.184734i
\(584\) 494.275i 0.846361i
\(585\) −97.5892 45.3370i −0.166819 0.0774991i
\(586\) 149.079 458.817i 0.254400 0.782964i
\(587\) −0.704580 + 0.228932i −0.00120031 + 0.000390003i −0.309617 0.950861i \(-0.600201\pi\)
0.308417 + 0.951251i \(0.400201\pi\)
\(588\) 157.998 + 9.55027i 0.268704 + 0.0162420i
\(589\) −52.3452 + 38.0310i −0.0888714 + 0.0645688i
\(590\) 31.6562 10.2857i 0.0536546 0.0174334i
\(591\) 36.0459 + 56.4917i 0.0609914 + 0.0955866i
\(592\) 484.897 + 352.299i 0.819083 + 0.595099i
\(593\) 498.413i 0.840494i −0.907410 0.420247i \(-0.861943\pi\)
0.907410 0.420247i \(-0.138057\pi\)
\(594\) 47.9304 490.135i 0.0806910 0.825144i
\(595\) −29.3647 −0.0493524
\(596\) 115.695 159.241i 0.194120 0.267183i
\(597\) −381.706 + 243.557i −0.639374 + 0.407968i
\(598\) 202.862 + 624.344i 0.339234 + 1.04405i
\(599\) 112.504 + 154.848i 0.187819 + 0.258511i 0.892534 0.450979i \(-0.148925\pi\)
−0.704715 + 0.709490i \(0.748925\pi\)
\(600\) −38.6280 + 639.054i −0.0643800 + 1.06509i
\(601\) 256.922 + 790.726i 0.427491 + 1.31568i 0.900588 + 0.434673i \(0.143136\pi\)
−0.473097 + 0.881010i \(0.656864\pi\)
\(602\) 93.2454 + 30.2973i 0.154893 + 0.0503277i
\(603\) −293.046 + 630.791i −0.485981 + 1.04609i
\(604\) −214.314 −0.354824
\(605\) −83.6088 12.3701i −0.138196 0.0204465i
\(606\) 400.178 + 329.402i 0.660361 + 0.543567i
\(607\) −638.876 464.171i −1.05251 0.764697i −0.0798256 0.996809i \(-0.525436\pi\)
−0.972689 + 0.232112i \(0.925436\pi\)
\(608\) 290.536 + 94.4010i 0.477856 + 0.155265i
\(609\) 39.0893 + 15.3654i 0.0641860 + 0.0252306i
\(610\) −43.3856 + 31.5215i −0.0711239 + 0.0516746i
\(611\) 742.718 + 1022.26i 1.21558 + 1.67310i
\(612\) 88.1417 + 158.477i 0.144022 + 0.258950i
\(613\) −85.6583 + 263.629i −0.139736 + 0.430064i −0.996297 0.0859829i \(-0.972597\pi\)
0.856560 + 0.516047i \(0.172597\pi\)
\(614\) 274.654 378.029i 0.447319 0.615682i
\(615\) 109.107 + 89.8104i 0.177411 + 0.146033i
\(616\) −230.359 + 96.7960i −0.373959 + 0.157136i
\(617\) 928.547i 1.50494i 0.658628 + 0.752469i \(0.271137\pi\)
−0.658628 + 0.752469i \(0.728863\pi\)
\(618\) −261.975 + 67.9510i −0.423908 + 0.109953i
\(619\) 295.319 908.900i 0.477091 1.46834i −0.366025 0.930605i \(-0.619282\pi\)
0.843117 0.537731i \(-0.180718\pi\)
\(620\) −3.37493 + 1.09658i −0.00544343 + 0.00176868i
\(621\) 618.976 82.8397i 0.996741 0.133397i
\(622\) 635.529 461.739i 1.02175 0.742346i
\(623\) 94.7674 30.7918i 0.152115 0.0494250i
\(624\) −408.399 + 260.589i −0.654485 + 0.417610i
\(625\) −476.224 345.997i −0.761958 0.553595i
\(626\) 49.7019i 0.0793961i
\(627\) 417.893 318.729i 0.666497 0.508340i
\(628\) −81.7055 −0.130104
\(629\) −601.686 + 828.149i −0.956575 + 1.31661i
\(630\) −26.9995 3.27598i −0.0428564 0.00519996i
\(631\) −1.62527 5.00208i −0.00257571 0.00792722i 0.949760 0.312978i \(-0.101327\pi\)
−0.952336 + 0.305051i \(0.901327\pi\)
\(632\) −260.603 358.690i −0.412347 0.567547i
\(633\) −543.741 32.8668i −0.858991 0.0519222i
\(634\) −81.6132 251.180i −0.128728 0.396183i
\(635\) 121.425 + 39.4533i 0.191220 + 0.0621311i
\(636\) −155.608 + 40.3615i −0.244666 + 0.0634615i
\(637\) −722.207 −1.13376
\(638\) 97.5309 8.17618i 0.152870 0.0128153i
\(639\) 364.441 71.3807i 0.570330 0.111707i
\(640\) −21.8058 15.8428i −0.0340715 0.0247544i
\(641\) 462.217 + 150.183i 0.721087 + 0.234296i 0.646495 0.762919i \(-0.276234\pi\)
0.0745928 + 0.997214i \(0.476234\pi\)
\(642\) −51.6959 + 131.513i −0.0805233 + 0.204849i
\(643\) 597.765 434.302i 0.929650 0.675430i −0.0162570 0.999868i \(-0.505175\pi\)
0.945907 + 0.324437i \(0.105175\pi\)
\(644\) −44.3570 61.0522i −0.0688774 0.0948016i
\(645\) −44.1969 17.3732i −0.0685223 0.0269351i
\(646\) 131.489 404.681i 0.203543 0.626441i
\(647\) 676.121 930.601i 1.04501 1.43833i 0.151953 0.988388i \(-0.451444\pi\)
0.893057 0.449945i \(-0.148556\pi\)
\(648\) 266.040 + 653.093i 0.410556 + 1.00786i
\(649\) 206.525 + 239.329i 0.318221 + 0.368766i
\(650\) 695.717i 1.07033i
\(651\) 7.98389 + 30.7807i 0.0122640 + 0.0472822i
\(652\) −5.96585 + 18.3610i −0.00915007 + 0.0281610i
\(653\) 575.439 186.971i 0.881224 0.286327i 0.166758 0.985998i \(-0.446670\pi\)
0.714465 + 0.699671i \(0.246670\pi\)
\(654\) 12.3819 204.843i 0.0189325 0.313216i
\(655\) 47.7572 34.6976i 0.0729117 0.0529735i
\(656\) 605.083 196.603i 0.922382 0.299700i
\(657\) −507.236 61.5452i −0.772049 0.0936761i
\(658\) 258.378 + 187.723i 0.392672 + 0.285293i
\(659\) 956.314i 1.45116i 0.688138 + 0.725580i \(0.258428\pi\)
−0.688138 + 0.725580i \(0.741572\pi\)
\(660\) 27.1995 9.54269i 0.0412114 0.0144586i
\(661\) 57.8747 0.0875563 0.0437781 0.999041i \(-0.486061\pi\)
0.0437781 + 0.999041i \(0.486061\pi\)
\(662\) −324.272 + 446.323i −0.489837 + 0.674203i
\(663\) −445.056 697.498i −0.671276 1.05203i
\(664\) 159.295 + 490.261i 0.239903 + 0.738345i
\(665\) −17.0607 23.4820i −0.0256551 0.0353113i
\(666\) −645.614 + 694.322i −0.969390 + 1.04253i
\(667\) 38.3523 + 118.036i 0.0574997 + 0.176966i
\(668\) −183.276 59.5499i −0.274365 0.0891466i
\(669\) −141.630 546.034i −0.211705 0.816195i
\(670\) 89.5104 0.133598
\(671\) −435.612 263.899i −0.649199 0.393293i
\(672\) 95.4169 115.919i 0.141989 0.172498i
\(673\) −688.997 500.586i −1.02377 0.743813i −0.0567178 0.998390i \(-0.518064\pi\)
−0.967052 + 0.254578i \(0.918064\pi\)
\(674\) −87.3744 28.3897i −0.129636 0.0421212i
\(675\) −651.001 119.213i −0.964446 0.176612i
\(676\) −125.438 + 91.1361i −0.185559 + 0.134817i
\(677\) −158.543 218.215i −0.234184 0.322327i 0.675710 0.737168i \(-0.263837\pi\)
−0.909894 + 0.414841i \(0.863837\pi\)
\(678\) −264.202 + 672.122i −0.389678 + 0.991331i
\(679\) 13.1359 40.4282i 0.0193460 0.0595408i
\(680\) 57.5942 79.2717i 0.0846974 0.116576i
\(681\) 818.355 994.191i 1.20170 1.45990i
\(682\) 48.4111 + 56.1006i 0.0709840 + 0.0822590i
\(683\) 254.016i 0.371913i −0.982558 0.185956i \(-0.940462\pi\)
0.982558 0.185956i \(-0.0595383\pi\)
\(684\) −75.5196 + 162.558i −0.110409 + 0.237658i
\(685\) 44.1137 135.768i 0.0643996 0.198201i
\(686\) −375.219 + 121.916i −0.546966 + 0.177720i
\(687\) −406.584 24.5762i −0.591826 0.0357733i
\(688\) −172.968 + 125.668i −0.251407 + 0.182658i
\(689\) 697.582 226.658i 1.01246 0.328967i
\(690\) −43.2299 67.7506i −0.0626521 0.0981892i
\(691\) 306.290 + 222.532i 0.443256 + 0.322044i 0.786927 0.617046i \(-0.211671\pi\)
−0.343672 + 0.939090i \(0.611671\pi\)
\(692\) 31.3914i 0.0453634i
\(693\) −70.6509 248.452i −0.101949 0.358516i
\(694\) −229.724 −0.331014
\(695\) 20.6276 28.3915i 0.0296800 0.0408510i
\(696\) −118.147 + 75.3869i −0.169752 + 0.108315i
\(697\) 335.776 + 1033.41i 0.481745 + 1.48266i
\(698\) 220.772 + 303.867i 0.316293 + 0.435339i
\(699\) −59.1691 + 978.882i −0.0846482 + 1.40040i
\(700\) 24.7139 + 76.0616i 0.0353056 + 0.108659i
\(701\) −304.289 98.8694i −0.434078 0.141040i 0.0838238 0.996481i \(-0.473287\pi\)
−0.517902 + 0.855440i \(0.673287\pi\)
\(702\) −331.396 690.970i −0.472073 0.984288i
\(703\) −1011.82 −1.43929
\(704\) 174.785 744.731i 0.248274 1.05786i
\(705\) −119.435 98.3111i −0.169411 0.139448i
\(706\) −347.361 252.373i −0.492013 0.357468i
\(707\) 258.549 + 84.0077i 0.365699 + 0.118823i
\(708\) −100.338 39.4414i −0.141720 0.0557082i
\(709\) 184.876 134.320i 0.260755 0.189450i −0.449725 0.893167i \(-0.648478\pi\)
0.710480 + 0.703717i \(0.248478\pi\)
\(710\) −28.0914 38.6645i −0.0395653 0.0544570i
\(711\) 400.545 222.774i 0.563354 0.313325i
\(712\) −102.747 + 316.223i −0.144308 + 0.444134i
\(713\) −55.2316 + 76.0198i −0.0774636 + 0.106620i
\(714\) −161.460 132.904i −0.226135 0.186140i
\(715\) −121.249 + 50.9486i −0.169579 + 0.0712568i
\(716\) 77.2875i 0.107943i
\(717\) 271.379 70.3902i 0.378492 0.0981732i
\(718\) 132.730 408.501i 0.184861 0.568943i
\(719\) 765.742 248.805i 1.06501 0.346043i 0.276467 0.961023i \(-0.410836\pi\)
0.788542 + 0.614981i \(0.210836\pi\)
\(720\) 40.3862 43.4332i 0.0560920 0.0603239i
\(721\) −114.842 + 83.4376i −0.159282 + 0.115725i
\(722\) −169.294 + 55.0069i −0.234479 + 0.0761868i
\(723\) 522.917 333.660i 0.723260 0.461494i
\(724\) 150.138 + 109.082i 0.207373 + 0.150665i
\(725\) 131.530i 0.181420i
\(726\) −403.732 446.429i −0.556105 0.614915i
\(727\) −1002.31 −1.37869 −0.689345 0.724434i \(-0.742101\pi\)
−0.689345 + 0.724434i \(0.742101\pi\)
\(728\) −228.541 + 314.560i −0.313930 + 0.432088i
\(729\) −703.345 + 191.696i −0.964808 + 0.262957i
\(730\) 20.3198 + 62.5378i 0.0278353 + 0.0856682i
\(731\) −214.627 295.409i −0.293608 0.404117i
\(732\) 173.384 + 10.4803i 0.236863 + 0.0143173i
\(733\) −223.915 689.141i −0.305478 0.940165i −0.979498 0.201452i \(-0.935434\pi\)
0.674020 0.738713i \(-0.264566\pi\)
\(734\) 313.472 + 101.853i 0.427074 + 0.138765i
\(735\) 85.5829 22.1985i 0.116439 0.0302020i
\(736\) 443.653 0.602789
\(737\) 329.319 + 783.724i 0.446837 + 1.06340i
\(738\) 193.442 + 987.637i 0.262117 + 1.33826i
\(739\) 696.026 + 505.693i 0.941849 + 0.684293i 0.948865 0.315682i \(-0.102233\pi\)
−0.00701624 + 0.999975i \(0.502233\pi\)
\(740\) −52.7774 17.1484i −0.0713208 0.0231735i
\(741\) 299.192 761.138i 0.403768 1.02718i
\(742\) 149.982 108.968i 0.202132 0.146858i
\(743\) −229.421 315.771i −0.308776 0.424994i 0.626223 0.779644i \(-0.284600\pi\)
−0.934999 + 0.354650i \(0.884600\pi\)
\(744\) −98.7534 38.8185i −0.132733 0.0521755i
\(745\) 33.9752 104.565i 0.0456043 0.140355i
\(746\) −653.465 + 899.418i −0.875959 + 1.20565i
\(747\) −522.951 + 102.427i −0.700069 + 0.137118i
\(748\) 215.774 + 50.6412i 0.288468 + 0.0677022i
\(749\) 74.1164i 0.0989538i
\(750\) 43.1942 + 166.529i 0.0575922 + 0.222038i
\(751\) −266.909 + 821.461i −0.355405 + 1.09382i 0.600370 + 0.799722i \(0.295020\pi\)
−0.955774 + 0.294101i \(0.904980\pi\)
\(752\) −662.355 + 215.212i −0.880791 + 0.286186i
\(753\) −0.505060 + 8.35561i −0.000670730 + 0.0110964i
\(754\) 123.212 89.5190i 0.163412 0.118725i
\(755\) −113.851 + 36.9926i −0.150797 + 0.0489968i
\(756\) 60.7761 + 63.7704i 0.0803917 + 0.0843524i
\(757\) 683.966 + 496.931i 0.903522 + 0.656447i 0.939368 0.342910i \(-0.111413\pi\)
−0.0358461 + 0.999357i \(0.511413\pi\)
\(758\) 650.647i 0.858373i
\(759\) 434.154 627.769i 0.572008 0.827100i
\(760\) 96.8528 0.127438
\(761\) 103.379 142.289i 0.135847 0.186977i −0.735674 0.677336i \(-0.763134\pi\)
0.871521 + 0.490359i \(0.163134\pi\)
\(762\) 489.083 + 766.498i 0.641842 + 1.00590i
\(763\) −33.2614 102.368i −0.0435929 0.134165i
\(764\) −41.3108 56.8594i −0.0540717 0.0744233i
\(765\) 74.1789 + 68.9751i 0.0969659 + 0.0901635i
\(766\) 255.022 + 784.878i 0.332927 + 1.02464i
\(767\) 467.833 + 152.008i 0.609951 + 0.198185i
\(768\) 161.328 + 621.976i 0.210062 + 0.809864i
\(769\) 1341.04 1.74388 0.871941 0.489611i \(-0.162861\pi\)
0.871941 + 0.489611i \(0.162861\pi\)
\(770\) −25.1667 + 21.7171i −0.0326840 + 0.0282041i
\(771\) 763.025 926.972i 0.989657 1.20230i
\(772\) −152.736 110.969i −0.197844 0.143742i
\(773\) −746.230 242.465i −0.965368 0.313667i −0.216424 0.976300i \(-0.569439\pi\)
−0.748945 + 0.662632i \(0.769439\pi\)
\(774\) −164.384 295.560i −0.212383 0.381861i
\(775\) 80.5641 58.5332i 0.103954 0.0755268i
\(776\) 83.3742 + 114.755i 0.107441 + 0.147880i
\(777\) −181.923 + 462.808i −0.234135 + 0.595634i
\(778\) 211.252 650.167i 0.271532 0.835690i
\(779\) −631.303 + 868.914i −0.810402 + 1.11542i
\(780\) 28.5060 34.6309i 0.0365461 0.0443986i
\(781\) 235.182 388.210i 0.301130 0.497068i
\(782\) 617.954i 0.790222i
\(783\) −62.6525 130.632i −0.0800159 0.166836i
\(784\) 123.005 378.571i 0.156894 0.482871i
\(785\) −43.4051 + 14.1032i −0.0552931 + 0.0179658i
\(786\) 419.632 + 25.3649i 0.533883 + 0.0322708i
\(787\) 1171.82 851.375i 1.48897 1.08180i 0.514442 0.857525i \(-0.327999\pi\)
0.974526 0.224273i \(-0.0720007\pi\)
\(788\) −26.5659 + 8.63178i −0.0337130 + 0.0109540i
\(789\) 611.936 + 959.035i 0.775585 + 1.21551i
\(790\) −47.7184 34.6695i −0.0604031 0.0438854i
\(791\) 378.785i 0.478869i
\(792\) 809.281 + 296.574i 1.02182 + 0.374462i
\(793\) −792.536 −0.999415
\(794\) −166.888 + 229.702i −0.210186 + 0.289297i
\(795\) −75.6979 + 48.3009i −0.0952175 + 0.0607559i
\(796\) −58.3237 179.502i −0.0732709 0.225505i
\(797\) 203.605 + 280.238i 0.255464 + 0.351616i 0.917416 0.397931i \(-0.130272\pi\)
−0.661951 + 0.749547i \(0.730272\pi\)
\(798\) 12.4718 206.331i 0.0156288 0.258560i
\(799\) −367.558 1131.23i −0.460022 1.41580i
\(800\) −447.162 145.292i −0.558952 0.181615i
\(801\) −311.722 144.816i −0.389166 0.180795i
\(802\) −1203.85 −1.50107
\(803\) −472.802 + 407.996i −0.588794 + 0.508090i
\(804\) −223.845 184.255i −0.278414 0.229173i
\(805\) −34.1023 24.7768i −0.0423631 0.0307786i
\(806\) 109.664 + 35.6318i 0.136059 + 0.0442082i
\(807\) 87.1137 + 34.2431i 0.107948 + 0.0424326i
\(808\) −733.888 + 533.201i −0.908277 + 0.659902i
\(809\) −307.526 423.274i −0.380131 0.523206i 0.575488 0.817810i \(-0.304812\pi\)
−0.955619 + 0.294604i \(0.904812\pi\)
\(810\) 60.5093 + 71.6951i 0.0747028 + 0.0885125i
\(811\) −319.359 + 982.886i −0.393784 + 1.21194i 0.536120 + 0.844142i \(0.319889\pi\)
−0.929904 + 0.367802i \(0.880111\pi\)
\(812\) −10.2906 + 14.1638i −0.0126732 + 0.0174431i
\(813\) 1200.06 + 987.811i 1.47608 + 1.21502i
\(814\) 96.8040 + 1154.74i 0.118924 + 1.41860i
\(815\) 10.7838i 0.0132317i
\(816\) 441.420 114.495i 0.540956 0.140313i
\(817\) 111.532 343.261i 0.136514 0.420148i
\(818\) 475.294 154.432i 0.581044 0.188793i
\(819\) −294.352 273.702i −0.359404 0.334191i
\(820\) −47.6558 + 34.6239i −0.0581168 + 0.0422243i
\(821\) −92.9928 + 30.2152i −0.113268 + 0.0368029i −0.365102 0.930967i \(-0.618966\pi\)
0.251835 + 0.967770i \(0.418966\pi\)
\(822\) 857.041 546.856i 1.04263 0.665275i
\(823\) −583.839 424.184i −0.709404 0.515412i 0.173578 0.984820i \(-0.444467\pi\)
−0.882981 + 0.469408i \(0.844467\pi\)
\(824\) 473.673i 0.574846i
\(825\) −643.176 + 490.553i −0.779607 + 0.594610i
\(826\) 124.330 0.150521
\(827\) 722.545 994.498i 0.873694 1.20254i −0.104433 0.994532i \(-0.533303\pi\)
0.978128 0.208005i \(-0.0666971\pi\)
\(828\) −31.3548 + 258.417i −0.0378682 + 0.312097i
\(829\) −59.7651 183.938i −0.0720930 0.221879i 0.908517 0.417847i \(-0.137215\pi\)
−0.980610 + 0.195968i \(0.937215\pi\)
\(830\) 40.3095 + 55.4812i 0.0485656 + 0.0668448i
\(831\) −1101.86 66.6027i −1.32595 0.0801477i
\(832\) −367.840 1132.09i −0.442115 1.36069i
\(833\) 646.556 + 210.079i 0.776178 + 0.252195i
\(834\) 241.919 62.7490i 0.290071 0.0752386i
\(835\) −107.642 −0.128912
\(836\) 84.8672 + 201.970i 0.101516 + 0.241591i
\(837\) 52.1329 96.5094i 0.0622854 0.115304i
\(838\) 768.930 + 558.660i 0.917577 + 0.666659i
\(839\) −554.741 180.246i −0.661193 0.214835i −0.0408501 0.999165i \(-0.513007\pi\)
−0.620343 + 0.784331i \(0.713007\pi\)
\(840\) 17.4139 44.3006i 0.0207309 0.0527388i
\(841\) −657.089 + 477.403i −0.781319 + 0.567661i
\(842\) −545.099 750.264i −0.647386 0.891050i
\(843\) 894.547 + 351.633i 1.06115 + 0.417121i
\(844\) 70.1668 215.951i 0.0831360 0.255866i
\(845\) −50.9064 + 70.0667i −0.0602443 + 0.0829192i
\(846\) −211.752 1081.12i −0.250297 1.27792i
\(847\) −282.739 140.451i −0.333812 0.165822i
\(848\) 404.267i 0.476730i
\(849\) 121.113 + 466.933i 0.142654 + 0.549980i
\(850\) −202.373 + 622.841i −0.238086 + 0.732754i
\(851\) −1397.52 + 454.082i −1.64221 + 0.533587i
\(852\) −9.33984 + 154.516i −0.0109623 + 0.181357i
\(853\) 348.868 253.468i 0.408990 0.297148i −0.364203 0.931320i \(-0.618659\pi\)
0.773193 + 0.634171i \(0.218659\pi\)
\(854\) −190.510 + 61.9005i −0.223080 + 0.0724830i
\(855\) −12.0597 + 99.3925i −0.0141050 + 0.116249i
\(856\) −200.082 145.368i −0.233740 0.169822i
\(857\) 580.461i 0.677317i 0.940909 + 0.338659i \(0.109973\pi\)
−0.940909 + 0.338659i \(0.890027\pi\)
\(858\) −897.276 268.634i −1.04578 0.313093i
\(859\) −812.241 −0.945566 −0.472783 0.881179i \(-0.656751\pi\)
−0.472783 + 0.881179i \(0.656751\pi\)
\(860\) 11.6352 16.0145i 0.0135294 0.0186216i
\(861\) 283.936 + 444.988i 0.329774 + 0.516827i
\(862\) 102.402 + 315.160i 0.118795 + 0.365614i
\(863\) −369.257 508.239i −0.427876 0.588921i 0.539588 0.841929i \(-0.318580\pi\)
−0.967464 + 0.253008i \(0.918580\pi\)
\(864\) −513.318 + 68.6991i −0.594118 + 0.0795129i
\(865\) 5.41846 + 16.6763i 0.00626412 + 0.0192790i
\(866\) 163.198 + 53.0264i 0.188451 + 0.0612314i
\(867\) −22.1338 85.3335i −0.0255292 0.0984239i
\(868\) −13.2551 −0.0152708
\(869\) 127.993 545.360i 0.147288 0.627572i
\(870\) −11.8493 + 14.3953i −0.0136199 + 0.0165464i
\(871\) 1070.19 + 777.542i 1.22870 + 0.892700i
\(872\) 341.586 + 110.988i 0.391727 + 0.127280i
\(873\) −128.145 + 71.2716i −0.146787 + 0.0816399i
\(874\) 494.158 359.026i 0.565398 0.410785i
\(875\) 53.0385 + 73.0012i 0.0606154 + 0.0834299i
\(876\) 77.9176 198.220i 0.0889470 0.226279i
\(877\) 371.068 1142.03i 0.423111 1.30220i −0.481680 0.876347i \(-0.659973\pi\)
0.904791 0.425855i \(-0.140027\pi\)
\(878\) 645.749 888.797i 0.735477 1.01230i
\(879\) −554.704 + 673.891i −0.631063 + 0.766656i
\(880\) −6.05556 72.2347i −0.00688132 0.0820849i
\(881\) 131.219i 0.148943i −0.997223 0.0744714i \(-0.976273\pi\)
0.997223 0.0744714i \(-0.0237269\pi\)
\(882\) 571.043 + 265.289i 0.647441 + 0.300781i
\(883\) −39.2451 + 120.784i −0.0444452 + 0.136788i −0.970817 0.239823i \(-0.922911\pi\)
0.926371 + 0.376611i \(0.122911\pi\)
\(884\) 328.007 106.576i 0.371048 0.120561i
\(885\) −60.1113 3.63346i −0.0679223 0.00410561i
\(886\) −282.823 + 205.483i −0.319214 + 0.231922i
\(887\) −1136.31 + 369.209i −1.28107 + 0.416245i −0.868957 0.494888i \(-0.835209\pi\)
−0.412113 + 0.911133i \(0.635209\pi\)
\(888\) −892.563 1398.84i −1.00514 1.57527i
\(889\) 385.818 + 280.313i 0.433991 + 0.315313i
\(890\) 44.2339i 0.0497010i
\(891\) −405.119 + 793.574i −0.454679 + 0.890655i
\(892\) 235.138 0.263608
\(893\) 691.057 951.158i 0.773860 1.06513i
\(894\) 660.070 421.174i 0.738333 0.471112i
\(895\) −13.3406 41.0580i −0.0149057 0.0458749i
\(896\) −59.1774 81.4507i −0.0660462 0.0909048i
\(897\) 71.6614 1185.55i 0.0798901 1.32169i
\(898\) −122.602 377.331i −0.136528 0.420190i
\(899\) 20.7326 + 6.73643i 0.0230618 + 0.00749325i
\(900\) 116.232 250.192i 0.129146 0.277991i
\(901\) −690.442 −0.766306
\(902\) 1052.05 + 637.345i 1.16635 + 0.706591i
\(903\) −136.955 112.733i −0.151667 0.124842i
\(904\) −1022.55 742.929i −1.13114 0.821824i
\(905\) 98.5876 + 32.0331i 0.108937 + 0.0353956i
\(906\) −793.435 311.888i −0.875756 0.344247i
\(907\) −424.397 + 308.342i −0.467913 + 0.339958i −0.796627 0.604471i \(-0.793385\pi\)
0.328715 + 0.944429i \(0.393385\pi\)
\(908\) 315.494 + 434.241i 0.347461 + 0.478239i
\(909\) −455.802 819.524i −0.501432 0.901567i
\(910\) −15.9844 + 49.1949i −0.0175653 + 0.0540603i
\(911\) −103.220 + 142.070i −0.113304 + 0.155950i −0.861903 0.507074i \(-0.830727\pi\)
0.748598 + 0.663024i \(0.230727\pi\)
\(912\) 348.020 + 286.468i 0.381601 + 0.314110i
\(913\) −337.473 + 557.058i −0.369631 + 0.610140i
\(914\) 44.2524i 0.0484162i
\(915\) 93.9170 24.3602i 0.102642 0.0266231i
\(916\) 52.4674 161.478i 0.0572788 0.176286i
\(917\) 209.706 68.1377i 0.228687 0.0743050i
\(918\) 95.6894 + 714.989i 0.104237 + 0.778855i
\(919\) 1055.86 767.124i 1.14892 0.834738i 0.160581 0.987023i \(-0.448663\pi\)
0.988337 + 0.152285i \(0.0486631\pi\)
\(920\) 133.773 43.4654i 0.145405 0.0472450i
\(921\) −712.678 + 454.742i −0.773809 + 0.493748i
\(922\) 527.369 + 383.156i 0.571984 + 0.415571i
\(923\) 706.294i 0.765216i
\(924\) 107.640 2.50460i 0.116494 0.00271060i
\(925\) 1557.28 1.68355
\(926\) −104.242 + 143.476i −0.112572 + 0.154942i
\(927\) 486.093 + 58.9799i 0.524373 + 0.0636245i
\(928\) −31.8056 97.8877i −0.0342733 0.105482i
\(929\) 916.652 + 1261.66i 0.986708 + 1.35809i 0.933136 + 0.359524i \(0.117061\pi\)
0.0535724 + 0.998564i \(0.482939\pi\)
\(930\) −14.0905 0.851711i −0.0151511 0.000915818i
\(931\) 207.651 + 639.084i 0.223041 + 0.686449i
\(932\) −388.770 126.319i −0.417136 0.135536i
\(933\) −1375.73 + 356.837i −1.47453 + 0.382462i
\(934\) −701.251 −0.750804
\(935\) 123.369 10.3422i 0.131945 0.0110612i
\(936\) 1316.20 257.795i 1.40620 0.275422i
\(937\) 581.968 + 422.824i 0.621097 + 0.451253i 0.853305 0.521413i \(-0.174595\pi\)
−0.232208 + 0.972666i \(0.574595\pi\)
\(938\) 317.983 + 103.319i 0.339001 + 0.110148i
\(939\) 32.8969 83.6890i 0.0350340 0.0891256i
\(940\) 52.1664 37.9011i 0.0554962 0.0403204i
\(941\) 689.641 + 949.209i 0.732881 + 1.00872i 0.998997 + 0.0447831i \(0.0142597\pi\)
−0.266116 + 0.963941i \(0.585740\pi\)
\(942\) −302.491 118.905i −0.321116 0.126226i
\(943\) −482.004 + 1483.46i −0.511139 + 1.57312i
\(944\) −159.361 + 219.342i −0.168815 + 0.232353i
\(945\) 43.2940 + 23.3867i 0.0458137 + 0.0247478i
\(946\) −402.419 94.4457i −0.425390 0.0998369i
\(947\) 266.119i 0.281013i 0.990080 + 0.140506i \(0.0448730\pi\)
−0.990080 + 0.140506i \(0.955127\pi\)
\(948\) 47.9666 + 184.928i 0.0505976 + 0.195072i
\(949\) −300.296 + 924.216i −0.316434 + 0.973884i
\(950\) −615.643 + 200.035i −0.648046 + 0.210563i
\(951\) −28.8301 + 476.959i −0.0303155 + 0.501534i
\(952\) 296.102 215.131i 0.311032 0.225978i
\(953\) −121.881 + 39.6016i −0.127892 + 0.0415547i −0.372264 0.928127i \(-0.621418\pi\)
0.244372 + 0.969682i \(0.421418\pi\)
\(954\) −634.831 77.0269i −0.665441 0.0807410i
\(955\) −31.7603 23.0752i −0.0332569 0.0241625i
\(956\) 116.864i 0.122242i
\(957\) −169.636 50.7870i −0.177258 0.0530689i
\(958\) 894.933 0.934168
\(959\) 313.425 431.393i 0.326825 0.449836i
\(960\) 78.3868 + 122.849i 0.0816529 + 0.127968i
\(961\) −291.865 898.268i −0.303710 0.934723i
\(962\) 1059.88 + 1458.80i 1.10175 + 1.51643i
\(963\) 174.093 187.228i 0.180782 0.194421i
\(964\) 79.9003 + 245.908i 0.0828841 + 0.255091i
\(965\) −100.293 32.5872i −0.103931 0.0337692i
\(966\) −75.3708 290.581i −0.0780236 0.300808i
\(967\) 1324.17 1.36936 0.684682 0.728842i \(-0.259941\pi\)
0.684682 + 0.728842i \(0.259941\pi\)
\(968\) 933.705 487.797i 0.964572 0.503923i
\(969\) −489.255 + 594.379i −0.504907 + 0.613394i
\(970\) 15.2664 + 11.0917i 0.0157386 + 0.0114348i
\(971\) −556.252 180.737i −0.572865 0.186135i 0.00823681 0.999966i \(-0.497378\pi\)
−0.581102 + 0.813831i \(0.697378\pi\)
\(972\) −3.73711 303.850i −0.00384477 0.312603i
\(973\) 106.050 77.0500i 0.108993 0.0791881i
\(974\) 595.161 + 819.169i 0.611048 + 0.841036i
\(975\) −460.484 + 1171.46i −0.472292 + 1.20150i
\(976\) 134.984 415.437i 0.138303 0.425652i
\(977\) 406.363 559.311i 0.415930 0.572478i −0.548722 0.836005i \(-0.684886\pi\)
0.964652 + 0.263526i \(0.0848856\pi\)
\(978\) −48.8073 + 59.2943i −0.0499052 + 0.0606281i
\(979\) −387.298 + 162.741i −0.395605 + 0.166232i
\(980\) 36.8545i 0.0376066i
\(981\) −156.431 + 336.723i −0.159461 + 0.343245i
\(982\) 29.1423 89.6907i 0.0296764 0.0913347i
\(983\) 623.407 202.557i 0.634188 0.206060i 0.0257588 0.999668i \(-0.491800\pi\)
0.608430 + 0.793608i \(0.291800\pi\)
\(984\) −1758.17 106.273i −1.78675 0.108001i
\(985\) −12.6229 + 9.17105i −0.0128151 + 0.00931071i
\(986\) −136.346 + 44.3013i −0.138281 + 0.0449304i
\(987\) −310.811 487.107i −0.314904 0.493523i
\(988\) 275.795 + 200.377i 0.279144 + 0.202810i
\(989\) 524.164i 0.529994i
\(990\) 114.586 + 4.25402i 0.115743 + 0.00429699i
\(991\) 95.0559 0.0959192 0.0479596 0.998849i \(-0.484728\pi\)
0.0479596 + 0.998849i \(0.484728\pi\)
\(992\) 45.8036 63.0433i 0.0461730 0.0635517i
\(993\) 841.429 536.895i 0.847361 0.540680i
\(994\) −55.1646 169.779i −0.0554976 0.170804i
\(995\) −61.9675 85.2909i −0.0622789 0.0857195i
\(996\) 13.4021 221.722i 0.0134559 0.222612i
\(997\) −241.467 743.158i −0.242193 0.745394i −0.996085 0.0883960i \(-0.971826\pi\)
0.753892 0.656998i \(-0.228174\pi\)
\(998\) −739.422 240.253i −0.740904 0.240734i
\(999\) 1546.66 741.790i 1.54820 0.742532i
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 33.3.h.b.26.2 yes 16
3.2 odd 2 inner 33.3.h.b.26.3 yes 16
11.2 odd 10 363.3.h.n.269.2 16
11.3 even 5 inner 33.3.h.b.14.3 yes 16
11.4 even 5 363.3.h.o.251.2 16
11.5 even 5 363.3.b.m.122.4 8
11.6 odd 10 363.3.b.l.122.5 8
11.7 odd 10 363.3.h.n.251.3 16
11.8 odd 10 363.3.h.j.245.2 16
11.9 even 5 363.3.h.o.269.3 16
11.10 odd 2 363.3.h.j.323.3 16
33.2 even 10 363.3.h.n.269.3 16
33.5 odd 10 363.3.b.m.122.5 8
33.8 even 10 363.3.h.j.245.3 16
33.14 odd 10 inner 33.3.h.b.14.2 16
33.17 even 10 363.3.b.l.122.4 8
33.20 odd 10 363.3.h.o.269.2 16
33.26 odd 10 363.3.h.o.251.3 16
33.29 even 10 363.3.h.n.251.2 16
33.32 even 2 363.3.h.j.323.2 16
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
33.3.h.b.14.2 16 33.14 odd 10 inner
33.3.h.b.14.3 yes 16 11.3 even 5 inner
33.3.h.b.26.2 yes 16 1.1 even 1 trivial
33.3.h.b.26.3 yes 16 3.2 odd 2 inner
363.3.b.l.122.4 8 33.17 even 10
363.3.b.l.122.5 8 11.6 odd 10
363.3.b.m.122.4 8 11.5 even 5
363.3.b.m.122.5 8 33.5 odd 10
363.3.h.j.245.2 16 11.8 odd 10
363.3.h.j.245.3 16 33.8 even 10
363.3.h.j.323.2 16 33.32 even 2
363.3.h.j.323.3 16 11.10 odd 2
363.3.h.n.251.2 16 33.29 even 10
363.3.h.n.251.3 16 11.7 odd 10
363.3.h.n.269.2 16 11.2 odd 10
363.3.h.n.269.3 16 33.2 even 10
363.3.h.o.251.2 16 11.4 even 5
363.3.h.o.251.3 16 33.26 odd 10
363.3.h.o.269.2 16 33.20 odd 10
363.3.h.o.269.3 16 11.9 even 5