LMFDB - Embedded newform 273.2.bw.b.11.20

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [273,2,Mod(11,273)]

mf = mfinit([N,k,chi],0)

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(273, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 8, 7]))

N = Newforms(chi, 2, names="a")

//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code

chi := DirichletCharacter("273.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 273 = 3 \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	273.bw (of order $12$, 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:	$2.17991597518$
Analytic rank:	$0$
Dimension:	$128$
Relative dimension:	$32$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			11.20
Character	$\chi$	$=$	273.11
Dual form			273.2.bw.b.149.20

$q$-expansion

comment: q-expansion

sage: f.q_expansion() # note that sage often uses an isomorphic number field

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.248591 + 0.927753i) q^{2} +(-1.67503 + 0.440774i) q^{3} +(0.933123 - 0.538739i) q^{4} +(-2.67091 - 0.715669i) q^{5} +(-0.825325 - 1.44444i) q^{6} +(-1.47717 - 2.19498i) q^{7} +(2.09011 + 2.09011i) q^{8} +(2.61144 - 1.47662i) q^{9} +O(q^{10})$	\(q+(0.248591 + 0.927753i) q^{2} +(-1.67503 + 0.440774i) q^{3} +(0.933123 - 0.538739i) q^{4} +(-2.67091 - 0.715669i) q^{5} +(-0.825325 - 1.44444i) q^{6} +(-1.47717 - 2.19498i) q^{7} +(2.09011 + 2.09011i) q^{8} +(2.61144 - 1.47662i) q^{9} -2.65586i q^{10} +(-3.60411 - 3.60411i) q^{11} +(-1.32554 + 1.31370i) q^{12} +(1.70386 - 3.17756i) q^{13} +(1.66919 - 1.91610i) q^{14} +(4.78930 + 0.0214973i) q^{15} +(-0.342044 + 0.592437i) q^{16} +(1.93459 + 3.35081i) q^{17} +(2.01911 + 2.05570i) q^{18} +(-3.98576 - 3.98576i) q^{19} +(-2.87785 + 0.771117i) q^{20} +(3.44180 + 3.02556i) q^{21} +(2.44778 - 4.23967i) q^{22} +(1.92215 - 3.32926i) q^{23} +(-4.42225 - 2.57972i) q^{24} +(2.29147 + 1.32298i) q^{25} +(3.37155 + 0.790848i) q^{26} +(-3.72338 + 3.62443i) q^{27} +(-2.56091 - 1.25238i) q^{28} +(-2.69531 + 1.55614i) q^{29} +(1.17063 + 4.44863i) q^{30} +(0.0467057 - 0.0125147i) q^{31} +(5.07561 + 1.36001i) q^{32} +(7.62559 + 4.44839i) q^{33} +(-2.62780 + 2.62780i) q^{34} +(2.37452 + 6.91978i) q^{35} +(1.64128 - 2.78475i) q^{36} +(0.514862 + 1.92149i) q^{37} +(2.70698 - 4.68863i) q^{38} +(-1.45343 + 6.07351i) q^{39} +(-4.08667 - 7.07832i) q^{40} +(-7.61027 - 2.03917i) q^{41} +(-1.95137 + 3.94526i) q^{42} +(5.52337 + 3.18892i) q^{43} +(-5.30475 - 1.42140i) q^{44} +(-8.03169 + 2.07499i) q^{45} +(3.56656 + 0.955656i) q^{46} +(1.90966 - 7.12696i) q^{47} +(0.311802 - 1.14311i) q^{48} +(-2.63592 + 6.48475i) q^{49} +(-0.657762 + 2.45480i) q^{50} +(-4.71744 - 4.75998i) q^{51} +(-0.121964 - 3.88299i) q^{52} +(-7.98876 - 4.61231i) q^{53} +(-4.28817 - 2.55337i) q^{54} +(7.04692 + 12.2056i) q^{55} +(1.50030 - 7.67520i) q^{56} +(8.43309 + 4.91945i) q^{57} +(-2.11374 - 2.11374i) q^{58} +(-0.330200 + 1.23232i) q^{59} +(4.48059 - 2.56012i) q^{60} +0.0405571 q^{61} +(0.0232212 + 0.0402203i) q^{62} +(-7.09870 - 3.55085i) q^{63} +6.41517i q^{64} +(-6.82494 + 7.26758i) q^{65} +(-2.23136 + 8.18049i) q^{66} +(0.0475830 + 0.0475830i) q^{67} +(3.61042 + 2.08448i) q^{68} +(-1.75220 + 6.42383i) q^{69} +(-5.82957 + 3.92316i) q^{70} +(0.631304 + 2.35606i) q^{71} +(8.54447 + 2.37190i) q^{72} +(3.55200 + 13.2562i) q^{73} +(-1.65468 + 0.955330i) q^{74} +(-4.42142 - 1.20601i) q^{75} +(-5.86649 - 1.57192i) q^{76} +(-2.58707 + 13.2349i) q^{77} +(-5.99603 + 0.161398i) q^{78} +(-2.55654 - 4.42806i) q^{79} +(1.33756 - 1.33756i) q^{80} +(4.63921 - 7.71218i) q^{81} -7.56737i q^{82} +(7.54163 - 7.54163i) q^{83} +(4.84161 + 0.968990i) q^{84} +(-2.76905 - 10.3342i) q^{85} +(-1.58547 + 5.91706i) q^{86} +(3.82881 - 3.79459i) q^{87} -15.0660i q^{88} +(12.6204 - 3.38164i) q^{89} +(-3.92168 - 6.93560i) q^{90} +(-9.49158 + 0.953862i) q^{91} -4.14214i q^{92} +(-0.0727171 + 0.0415492i) q^{93} +7.08678 q^{94} +(7.79314 + 13.4981i) q^{95} +(-9.10125 - 0.0408520i) q^{96} +(14.4311 - 3.86679i) q^{97} +(-6.67151 - 0.833431i) q^{98} +(-14.7338 - 4.09002i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 128 q - 4 q^{3} - 12 q^{4} - 4 q^{6} - 16 q^{7} - 16 q^{9}+O(q^{10}) $ 128 * q - 4 * q^3 - 12 * q^4 - 4 * q^6 - 16 * q^7 - 16 * q^9	$ 128 q - 4 q^{3} - 12 q^{4} - 4 q^{6} - 16 q^{7} - 16 q^{9} - 48 q^{12} - 16 q^{13} - 6 q^{15} + 32 q^{16} + 22 q^{18} - 16 q^{19} - 18 q^{21} - 8 q^{22} - 4 q^{24} - 40 q^{27} - 76 q^{28} - 4 q^{31} + 50 q^{33} - 48 q^{34} - 60 q^{36} + 28 q^{37} + 40 q^{39} + 44 q^{40} + 44 q^{42} - 144 q^{43} + 58 q^{45} + 48 q^{46} - 64 q^{48} + 24 q^{49} + 36 q^{51} - 22 q^{54} - 16 q^{55} + 40 q^{57} - 28 q^{58} - 4 q^{60} - 40 q^{61} + 20 q^{63} - 34 q^{66} + 96 q^{67} - 54 q^{69} + 64 q^{70} - 98 q^{72} + 48 q^{73} - 12 q^{75} + 144 q^{76} + 82 q^{78} - 24 q^{79} - 48 q^{81} + 4 q^{84} + 56 q^{85} - 2 q^{87} - 24 q^{91} + 10 q^{93} + 32 q^{94} - 54 q^{96} + 52 q^{97} - 10 q^{99}+O(q^{100}) $ 128 * q - 4 * q^3 - 12 * q^4 - 4 * q^6 - 16 * q^7 - 16 * q^9 - 48 * q^12 - 16 * q^13 - 6 * q^15 + 32 * q^16 + 22 * q^18 - 16 * q^19 - 18 * q^21 - 8 * q^22 - 4 * q^24 - 40 * q^27 - 76 * q^28 - 4 * q^31 + 50 * q^33 - 48 * q^34 - 60 * q^36 + 28 * q^37 + 40 * q^39 + 44 * q^40 + 44 * q^42 - 144 * q^43 + 58 * q^45 + 48 * q^46 - 64 * q^48 + 24 * q^49 + 36 * q^51 - 22 * q^54 - 16 * q^55 + 40 * q^57 - 28 * q^58 - 4 * q^60 - 40 * q^61 + 20 * q^63 - 34 * q^66 + 96 * q^67 - 54 * q^69 + 64 * q^70 - 98 * q^72 + 48 * q^73 - 12 * q^75 + 144 * q^76 + 82 * q^78 - 24 * q^79 - 48 * q^81 + 4 * q^84 + 56 * q^85 - 2 * q^87 - 24 * q^91 + 10 * q^93 + 32 * q^94 - 54 * q^96 + 52 * q^97 - 10 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$92$	$106$	$157$
$\chi(n)$	$-1$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{2}{3}\right)$

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 $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	0.248591	+	0.927753i	0.175780	+	0.656020i	0.996417	+	0.0845710i	$0.0269520\pi$
$2$	0.248591	+	0.927753i	0.175780	+	0.656020i	−0.820637	+	0.571449i	$0.806381\pi$
$3$	−1.67503	+	0.440774i	−0.967078	+	0.254481i
$3$	−1.67503	+	0.440774i	−0.967078	+	0.254481i
$4$	0.933123	−	0.538739i	0.466561	−	0.269369i
$5$	−2.67091	−	0.715669i	−1.19447	−	0.320057i	−0.393818	−	0.919188i	$-0.628846\pi$
$5$	−2.67091	−	0.715669i	−1.19447	−	0.320057i	−0.800651	+	0.599131i	$0.795513\pi$
$6$	−0.825325	−	1.44444i	−0.336938	−	0.589690i
$7$	−1.47717	−	2.19498i	−0.558319	−	0.829626i
$7$	−1.47717	−	2.19498i	−0.558319	−	0.829626i
$8$	2.09011	+	2.09011i	0.738964	+	0.738964i
$9$	2.61144	−	1.47662i	0.870479	−	0.492206i
$10$		−	2.65586i		−	0.839856i
$11$	−3.60411	−	3.60411i	−1.08668	−	1.08668i	−0.995868	−	0.0908128i	$-0.971054\pi$
$11$	−3.60411	−	3.60411i	−1.08668	−	1.08668i	−0.0908128	−	0.995868i	$-0.528946\pi$
$12$	−1.32554	+	1.31370i	−0.382652	+	0.379232i
$13$	1.70386	−	3.17756i	0.472565	−	0.881296i
$13$	1.70386	−	3.17756i	0.472565	−	0.881296i
$14$	1.66919	−	1.91610i	0.446110	−	0.512101i
$15$	4.78930	+	0.0214973i	1.23659	+	0.00555059i
$16$	−0.342044	+	0.592437i	−0.0855110	+	0.148109i
$17$	1.93459	+	3.35081i	0.469207	+	0.812690i	0.999380	−	0.0351990i	$-0.0112065\pi$
$17$	1.93459	+	3.35081i	0.469207	+	0.812690i	−0.530173	+	0.847889i	$0.677873\pi$
$18$	2.01911	+	2.05570i	0.475910	+	0.484532i
$19$	−3.98576	−	3.98576i	−0.914397	−	0.914397i	0.0822175	−	0.996614i	$-0.473800\pi$
$19$	−3.98576	−	3.98576i	−0.914397	−	0.914397i	−0.996614	+	0.0822175i	$0.973800\pi$
$20$	−2.87785	+	0.771117i	−0.643507	+	0.172427i
$21$	3.44180	+	3.02556i	0.751062	+	0.660232i
$22$	2.44778	−	4.23967i	0.521868	−	0.903902i
$23$	1.92215	−	3.32926i	0.400796	−	0.694198i	−0.593027	−	0.805183i	$-0.702067\pi$
$23$	1.92215	−	3.32926i	0.400796	−	0.694198i	0.993822	+	0.110985i	$0.0354004\pi$
$24$	−4.42225	−	2.57972i	−0.902688	−	0.526584i
$25$	2.29147	+	1.32298i	0.458295	+	0.264597i
$26$	3.37155	+	0.790848i	0.661215	+	0.155098i
$27$	−3.72338	+	3.62443i	−0.716564	+	0.697521i
$28$	−2.56091	−	1.25238i	−0.483966	−	0.236678i
$29$	−2.69531	+	1.55614i	−0.500506	+	0.288967i	−0.728922	−	0.684596i	$-0.759979\pi$
$29$	−2.69531	+	1.55614i	−0.500506	+	0.288967i	0.228417	+	0.973563i	$0.426645\pi$
$30$	1.17063	+	4.44863i	0.213727	+	0.812206i
$31$	0.0467057	−	0.0125147i	0.00838858	−	0.00224771i	−0.254622	−	0.967041i	$-0.581951\pi$
$31$	0.0467057	−	0.0125147i	0.00838858	−	0.00224771i	0.263011	+	0.964793i	$0.415284\pi$
$32$	5.07561	+	1.36001i	0.897250	+	0.240417i
$33$	7.62559	+	4.44839i	1.32744	+	0.774365i
$34$	−2.62780	+	2.62780i	−0.450664	+	0.450664i
$35$	2.37452	+	6.91978i	0.401367	+	1.16966i
$36$	1.64128	−	2.78475i	0.273547	−	0.464124i
$37$	0.514862	+	1.92149i	0.0846429	+	0.315891i	0.995246	−	0.0973897i	$-0.0310493\pi$
$37$	0.514862	+	1.92149i	0.0846429	+	0.315891i	−0.910603	+	0.413281i	$0.864383\pi$
$38$	2.70698	−	4.68863i	0.439130	−	0.760596i
$39$	−1.45343	+	6.07351i	−0.232734	+	0.972540i
$40$	−4.08667	−	7.07832i	−0.646159	−	1.11918i
$41$	−7.61027	−	2.03917i	−1.18853	−	0.318464i	−0.390222	−	0.920721i	$-0.627602\pi$
$41$	−7.61027	−	2.03917i	−1.18853	−	0.318464i	−0.798303	+	0.602256i	$0.794269\pi$
$42$	−1.95137	+	3.94526i	−0.301104	+	0.608768i
$43$	5.52337	+	3.18892i	0.842306	+	0.486306i	0.858048	−	0.513570i	$-0.171677\pi$
$43$	5.52337	+	3.18892i	0.842306	+	0.486306i	−0.0157412	+	0.999876i	$0.505011\pi$
$44$	−5.30475	−	1.42140i	−0.799722	−	0.214285i
$45$	−8.03169	+	2.07499i	−1.19729	+	0.309321i
$46$	3.56656	+	0.955656i	0.525860	+	0.140904i
$47$	1.90966	−	7.12696i	0.278553	−	1.03957i	−0.674870	−	0.737937i	$-0.735800\pi$
$47$	1.90966	−	7.12696i	0.278553	−	1.03957i	0.953423	−	0.301637i	$-0.0975330\pi$
$48$	0.311802	−	1.14311i	0.0450048	−	0.164994i
$49$	−2.63592	+	6.48475i	−0.376559	+	0.926392i
$50$	−0.657762	+	2.45480i	−0.0930216	+	0.347161i
$51$	−4.71744	−	4.75998i	−0.660574	−	0.666531i
$52$	−0.121964	−	3.88299i	−0.0169134	−	0.538473i
$53$	−7.98876	−	4.61231i	−1.09734	−	0.633550i	−0.161819	−	0.986820i	$-0.551736\pi$
$53$	−7.98876	−	4.61231i	−1.09734	−	0.633550i	−0.935521	+	0.353270i	$0.885070\pi$
$54$	−4.28817	−	2.55337i	−0.583546	−	0.347470i
$55$	7.04692	+	12.2056i	0.950207	+	1.64581i
$56$	1.50030	−	7.67520i	0.200486	−	1.02564i
$57$	8.43309	+	4.91945i	1.11699	+	0.651597i
$58$	−2.11374	−	2.11374i	−0.277547	−	0.277547i
$59$	−0.330200	+	1.23232i	−0.0429884	+	0.160435i	−0.984083	−	0.177708i	$-0.943132\pi$
$59$	−0.330200	+	1.23232i	−0.0429884	+	0.160435i	0.941095	+	0.338142i	$0.109799\pi$
$60$	4.48059	−	2.56012i	0.578442	−	0.330511i
$61$	0.0405571			0.00519281			0.00259640	−	0.999997i	$-0.499174\pi$
$61$	0.0405571			0.00519281			0.00259640	+	0.999997i	$0.499174\pi$
$62$	0.0232212	+	0.0402203i	0.00294909	+	0.00510798i
$63$	−7.09870	−	3.55085i	−0.894352	−	0.447364i
$64$			6.41517i			0.801897i
$65$	−6.82494	+	7.26758i	−0.846529	+	0.901433i
$66$	−2.23136	+	8.18049i	−0.274661	+	1.00695i
$67$	0.0475830	+	0.0475830i	0.00581319	+	0.00581319i	0.710007	−	0.704194i	$-0.248692\pi$
$67$	0.0475830	+	0.0475830i	0.00581319	+	0.00581319i	−0.704194	+	0.710007i	$0.748692\pi$
$68$	3.61042	+	2.08448i	0.437828	+	0.252780i
$69$	−1.75220	+	6.42383i	−0.210940	+	0.773339i
$70$	−5.82957	+	3.92316i	−0.696766	+	0.468908i
$71$	0.631304	+	2.35606i	0.0749220	+	0.279613i	0.993216	−	0.116287i	$-0.0370994\pi$
$71$	0.631304	+	2.35606i	0.0749220	+	0.279613i	−0.918294	+	0.395900i	$0.870433\pi$
$72$	8.54447	+	2.37190i	1.00698	+	0.279531i
$73$	3.55200	+	13.2562i	0.415730	+	1.55152i	0.783370	+	0.621556i	$0.213499\pi$
$73$	3.55200	+	13.2562i	0.415730	+	1.55152i	−0.367640	+	0.929968i	$0.619834\pi$
$74$	−1.65468	+	0.955330i	−0.192353	+	0.111055i
$75$	−4.42142	−	1.20601i	−0.510541	−	0.139258i
$76$	−5.86649	−	1.57192i	−0.672933	−	0.180312i
$77$	−2.58707	+	13.2349i	−0.294824	+	1.50825i
$78$	−5.99603	+	0.161398i	−0.678916	+	0.0182748i
$79$	−2.55654	−	4.42806i	−0.287633	−	0.498196i	0.685611	−	0.727968i	$-0.259535\pi$
$79$	−2.55654	−	4.42806i	−0.287633	−	0.498196i	−0.973244	+	0.229772i	$0.926202\pi$
$80$	1.33756	−	1.33756i	0.149544	−	0.149544i
$81$	4.63921	−	7.71218i	0.515467	−	0.856909i
$82$		−	7.56737i		−	0.835676i
$83$	7.54163	−	7.54163i	0.827802	−	0.827802i	−0.159410	−	0.987212i	$-0.550959\pi$
$83$	7.54163	−	7.54163i	0.827802	−	0.827802i	0.987212	+	0.159410i	$0.0509593\pi$
$84$	4.84161	+	0.968990i	0.528263	+	0.105725i
$85$	−2.76905	−	10.3342i	−0.300346	−	1.12091i
$86$	−1.58547	+	5.91706i	−0.170966	+	0.638053i
$87$	3.82881	−	3.79459i	0.410492	−	0.406823i
$88$		−	15.0660i		−	1.60604i
$89$	12.6204	−	3.38164i	1.33776	−	0.358453i	0.482160	−	0.876083i	$-0.339852\pi$
$89$	12.6204	−	3.38164i	1.33776	−	0.358453i	0.855604	+	0.517630i	$0.173186\pi$
$90$	−3.92168	−	6.93560i	−0.413382	−	0.731077i
$91$	−9.49158	+	0.953862i	−0.994988	+	0.0999919i
$92$		−	4.14214i		−	0.431848i
$93$	−0.0727171	+	0.0415492i	−0.00754041	+	0.00430845i
$94$	7.08678			0.730945
$95$	7.79314	+	13.4981i	0.799560	+	1.38488i
$96$	−9.10125	−	0.0408520i	−0.928892	−	0.00416944i
$97$	14.4311	−	3.86679i	1.46525	−	0.392613i	0.563951	−	0.825808i	$-0.309281\pi$
$97$	14.4311	−	3.86679i	1.46525	−	0.392613i	0.901300	+	0.433195i	$0.142614\pi$
$98$	−6.67151	−	0.833431i	−0.673924	−	0.0841892i
$99$	−14.7338	−	4.09002i	−1.48080	−	0.411063i
$100$	2.85097			0.285097
$101$	9.01256			0.896783			0.448392	−	0.893837i	$-0.351997\pi$
$101$	9.01256			0.896783			0.448392	+	0.893837i	$0.351997\pi$
$102$	3.24337	−	5.55990i	0.321142	−	0.550513i
$103$	0.162939	−	0.0940730i	0.0160549	−	0.00926929i	−0.491951	−	0.870623i	$-0.663716\pi$
$103$	0.162939	−	0.0940730i	0.0160549	−	0.00926929i	0.508006	+	0.861354i	$0.330383\pi$
$104$	10.2027	−	3.08019i	1.00045	−	0.302037i
$105$	−7.02745	−	10.5442i	−0.685809	−	1.02901i
$106$	2.29316	−	8.55817i	0.222731	−	0.831243i
$107$	−7.18758	−	4.14975i	−0.694849	−	0.401172i	0.110577	−	0.993868i	$-0.464730\pi$
$107$	−7.18758	−	4.14975i	−0.694849	−	0.401172i	−0.805426	+	0.592696i	$0.798064\pi$
$108$	−1.52175	+	5.38796i	−0.146430	+	0.518457i
$109$	1.66084	−	0.445020i	0.159080	−	0.0426252i	−0.178400	−	0.983958i	$-0.557092\pi$
$109$	1.66084	−	0.445020i	0.159080	−	0.0426252i	0.337480	+	0.941333i	$0.390426\pi$
$110$	−9.57201	+	9.57201i	−0.912655	+	0.912655i
$111$	−1.70935	−	2.99162i	−0.162245	−	0.283952i
$112$	1.80565	−	0.124352i	0.170618	−	0.0117501i
$113$	4.02470	+	2.32366i	0.378612	+	0.218592i	0.677214	−	0.735786i	$-0.263187\pi$
$113$	4.02470	+	2.32366i	0.378612	+	0.218592i	−0.298602	+	0.954378i	$0.596520\pi$
$114$	−2.46764	+	9.04675i	−0.231116	+	0.847305i
$115$	−7.51654	+	7.51654i	−0.700921	+	0.700921i
$116$	−1.67670	+	2.90413i	−0.155678	+	0.269642i
$117$	−0.242516	−	10.8139i	−0.0224206	−	0.999749i
$118$	−1.22538			−0.112805
$119$	4.49725	−	9.19612i	0.412262	−	0.843007i
$120$	9.96522	+	10.0551i	0.909696	+	0.917900i
$121$			14.9793i			1.36175i
$122$	0.0100821	+	0.0376270i	0.000912792	+	0.00340659i
$123$	13.6462	+	0.0612527i	1.23044	+	0.00552297i
$124$	0.0368399	−	0.0368399i	0.00330832	−	0.00330832i
$125$	4.60271	+	4.60271i	0.411679	+	0.411679i
$126$	1.52964	−	7.46854i	0.136271	−	0.665351i
$127$	8.53871	−	4.92983i	0.757688	−	0.437451i	−0.0707769	−	0.997492i	$-0.522548\pi$
$127$	8.53871	−	4.92983i	0.757688	−	0.437451i	0.828465	+	0.560041i	$0.189215\pi$
$128$	4.19953	−	1.12526i	0.371189	−	0.0994599i
$129$	−10.6574	−	2.90697i	−0.938331	−	0.255945i
$130$	−8.43914	−	4.52520i	−0.740161	−	0.396886i
$131$	−0.942035	+	0.543884i	−0.0823060	+	0.0475194i	−0.540588	−	0.841287i	$-0.681798\pi$
$131$	−0.942035	+	0.543884i	−0.0823060	+	0.0475194i	0.458282	+	0.888807i	$0.348465\pi$
$132$	9.51213	+	0.0426963i	0.827925	+	0.00371623i
$133$	−2.86103	+	14.6364i	−0.248082	+	1.26913i
$134$	−0.0323166	+	0.0559740i	−0.00279173	+	0.00483542i
$135$	12.5387	−	7.01583i	1.07916	−	0.603826i
$136$	−2.96005	+	11.0470i	−0.253822	+	0.947276i
$137$	2.58213	−	9.63663i	0.220606	−	0.823313i	−0.763511	−	0.645794i	$-0.776526\pi$
$137$	2.58213	−	9.63663i	0.220606	−	0.823313i	0.984117	−	0.177519i	$-0.0568070\pi$
$138$	−6.39531	−	0.0287061i	−0.544405	−	0.00244362i
$139$	5.10969	−	8.85024i	0.433398	−	0.750668i	−0.563765	−	0.825935i	$-0.690648\pi$
$139$	5.10969	−	8.85024i	0.433398	−	0.750668i	0.997163	+	0.0752674i	$0.0239810\pi$
$140$	5.94368	+	5.17776i	0.502332	+	0.437601i
$141$	−0.0573626	+	12.7796i	−0.00483080	+	1.07623i
$142$	−2.02890	+	1.17139i	−0.170262	+	0.0983007i
$143$	−17.5932	+	5.31138i	−1.47121	+	0.444160i
$144$	−0.0184233	+	2.05218i	−0.00153527	+	0.171015i
$145$	8.31261	−	2.22736i	0.690325	−	0.184972i
$146$	−11.4155	+	6.59075i	−0.944754	+	0.545454i
$147$	1.55693	−	12.0240i	0.128413	−	0.991721i
$148$	1.51561	+	1.51561i	0.124583	+	0.124583i
$149$	14.5580	−	14.5580i	1.19264	−	1.19264i	0.216318	−	0.976323i	$-0.430595\pi$
$149$	14.5580	−	14.5580i	1.19264	−	1.19264i	0.976323	−	0.216318i	$-0.0694047\pi$
$150$	0.0197579	−	4.40179i	0.00161323	−	0.359404i
$151$	−0.212309	−	0.792348i	−0.0172775	−	0.0644804i	0.956749	−	0.290915i	$-0.0939597\pi$
$151$	−0.212309	−	0.792348i	−0.0172775	−	0.0644804i	−0.974026	+	0.226435i	$0.927293\pi$
$152$		−	16.6613i		−	1.35141i
$153$	9.99992	+	5.89378i	0.808445	+	0.476484i
$154$	−12.9218	+	0.889902i	−1.04127	+	0.0717104i
$155$	−0.133703			−0.0107393
$156$	1.91581	+	6.45035i	0.153388	+	0.516441i
$157$	2.37634	−	4.11595i	0.189653	−	0.328488i	−0.755482	−	0.655170i	$-0.772597\pi$
$157$	2.37634	−	4.11595i	0.189653	−	0.328488i	0.945135	+	0.326681i	$0.105930\pi$
$158$	3.47261	−	3.47261i	0.276266	−	0.276266i
$159$	15.4144	+	4.20452i	1.22244	+	0.333440i
$160$	−12.5832	−	7.26492i	−0.994790	−	0.574342i
$161$	−10.1470	+	0.698807i	−0.799697	+	0.0550737i
$162$	8.30826	+	2.38686i	0.652759	+	0.187530i
$163$	−11.6711	+	11.6711i	−0.914151	+	0.914151i	−0.996596	−	0.0824449i	$-0.973727\pi$
$163$	−11.6711	+	11.6711i	−0.914151	+	0.914151i	0.0824449	+	0.996596i	$0.473727\pi$
$164$	−8.19990	+	2.19716i	−0.640304	+	0.171569i
$165$	−17.1837	−	17.3387i	−1.33775	−	1.34981i
$166$	8.87155	+	5.12199i	0.688566	+	0.397544i
$167$	1.19365	−	4.45475i	0.0923672	−	0.344719i	−0.904240	−	0.427025i	$-0.859562\pi$
$167$	1.19365	−	4.45475i	0.0923672	−	0.344719i	0.996607	+	0.0823056i	$0.0262284\pi$
$168$	0.869980	+	13.5175i	0.0671204	+	1.04290i
$169$	−7.19374	−	10.8282i	−0.553364	−	0.832939i
$170$	8.89927	−	5.13799i	0.682543	−	0.394066i
$171$	−16.2940	−	4.52313i	−1.24603	−	0.345892i
$172$	6.87198			0.523984
$173$	−4.43201			−0.336960			−0.168480	−	0.985705i	$-0.553886\pi$
$173$	−4.43201			−0.336960			−0.168480	+	0.985705i	$0.553886\pi$
$174$	4.47225	+	2.60889i	0.339040	+	0.197779i
$175$	−0.480977	−	6.98402i	−0.0363585	−	0.527943i
$176$	3.36797	−	0.902446i	0.253871	−	0.0680244i
$177$	0.00991859	−	2.20972i	0.000745527	−	0.166093i
$178$	6.27465	+	10.8680i	0.470305	+	0.814592i
$179$	−26.2701			−1.96352			−0.981760	−	0.190127i	$-0.939110\pi$
$179$	−26.2701			−1.96352			−0.981760	+	0.190127i	$0.939110\pi$
$180$	−6.37668	+	6.26321i	−0.475290	+	0.466832i
$181$			6.17124i			0.458704i	0.973343	+	0.229352i	$0.0736608\pi$
$181$			6.17124i			0.458704i	−0.973343	+	0.229352i	$0.926339\pi$
$182$	−3.24447	−	8.56872i	−0.240496	−	0.635156i
$183$	−0.0679343	+	0.0178765i	−0.00502185	+	0.00132147i
$184$	10.9760	−	2.94101i	0.809161	−	0.216814i
$185$		−	5.50061i		−	0.404413i
$186$	−0.0566241	−	0.0571348i	−0.00415188	−	0.00418932i
$187$	5.10421	−	19.0492i	0.373257	−	1.39301i
$188$	−2.05762	−	7.67913i	−0.150067	−	0.560058i
$189$	13.4556	+	2.81885i	0.978753	+	0.205041i
$190$	−10.5856	+	10.5856i	−0.767961	+	0.767961i
$191$			5.28188i			0.382183i	0.981572	+	0.191092i	$0.0612028\pi$
$191$			5.28188i			0.382183i	−0.981572	+	0.191092i	$0.938797\pi$
$192$	−2.82764	−	10.7456i	−0.204067	−	0.775497i
$193$	−13.5275	+	13.5275i	−0.973732	+	0.973732i	−0.999664	−	0.0259316i	$-0.991745\pi$
$193$	−13.5275	+	13.5275i	−0.973732	+	0.973732i	0.0259316	+	0.999664i	$0.491745\pi$
$194$	7.17485	+	12.4272i	0.515124	+	0.892221i
$195$	8.22860	−	15.1817i	0.589262	−	1.08718i
$196$	1.03395	+	7.47114i	0.0738537	+	0.533653i
$197$	16.7443	+	4.48663i	1.19298	+	0.319659i	0.800064	−	0.599914i	$-0.204799\pi$
$197$	16.7443	+	4.48663i	1.19298	+	0.319659i	0.392919	+	0.919573i	$0.371465\pi$
$198$	0.131843	−	14.6861i	0.00936967	−	1.04369i
$199$	20.9854	−	12.1159i	1.48762	−	0.858876i	0.487717	−	0.873002i	$-0.337830\pi$
$199$	20.9854	−	12.1159i	1.48762	−	0.858876i	0.999900	+	0.0141252i	$0.00449633\pi$
$200$	2.02425	+	7.55460i	0.143136	+	0.534191i
$201$	−0.100676	−	0.0587295i	−0.00710115	−	0.00414246i
$202$	2.24044	+	8.36143i	0.157637	+	0.588308i
$203$	7.39713	+	3.61747i	0.519177	+	0.253897i
$204$	−6.96634	−	1.90018i	−0.487741	−	0.133039i
$205$	18.8670	+	10.8929i	1.31773	+	0.760792i
$206$	0.127782	+	0.127782i	0.00890297	+	0.00890297i
$207$	0.103531	−	11.5324i	0.00719592	−	0.801559i
$208$	1.29971	+	2.09629i	0.0901186	+	0.145352i
$209$			28.7303i			1.98732i
$210$	8.03546	−	9.14092i	0.554499	−	0.630784i
$211$	−3.39509	−	5.88046i	−0.233727	−	0.404828i	0.725175	−	0.688565i	$-0.241759\pi$
$211$	−3.39509	−	5.88046i	−0.233727	−	0.404828i	−0.958902	+	0.283737i	$0.908426\pi$
$212$	−9.93933			−0.682636
$213$	−2.09594	−	3.66820i	−0.143611	−	0.251341i
$214$	2.06318	−	7.69989i	0.141036	−	0.526353i
$215$	−12.4702	−	12.4702i	−0.850463	−	0.850463i
$216$	−15.3577	−	0.206815i	−1.04496	−	0.0140720i
$217$	−0.0964620	−	0.0840317i	−0.00654827	−	0.00570445i
$218$	0.825738	+	1.43022i	0.0559260	+	0.0968667i
$219$	−11.7927	−	20.6389i	−0.796876	−	1.39465i
$220$	13.1513	+	7.59290i	0.886660	+	0.511913i
$221$	13.9436	−	0.437970i	0.937951	−	0.0294610i
$222$	2.35055	−	2.32954i	0.157759	−	0.156349i
$223$	−2.61290	+	9.75146i	−0.174972	+	0.653006i	0.821584	+	0.570088i	$0.193091\pi$
$223$	−2.61290	+	9.75146i	−0.174972	+	0.653006i	−0.996556	+	0.0829183i	$0.973576\pi$
$224$	−4.51237	−	13.1499i	−0.301495	−	0.878612i
$225$	7.93758	+	0.0712589i	0.529172	+	0.00475059i
$226$	−1.15528	+	4.31156i	−0.0768481	+	0.286801i
$227$	−5.93000	−	1.58894i	−0.393588	−	0.105462i	0.0565966	−	0.998397i	$-0.481975\pi$
$227$	−5.93000	−	1.58894i	−0.393588	−	0.105462i	−0.450184	+	0.892936i	$0.648642\pi$
$228$	10.5194	+	0.0472175i	0.696664	+	0.00312706i
$229$	−16.6349	−	4.45732i	−1.09927	−	0.294548i	−0.336801	−	0.941576i	$-0.609345\pi$
$229$	−16.6349	−	4.45732i	−1.09927	−	0.294548i	−0.762466	+	0.647028i	$0.776012\pi$
$230$	−8.84203	−	5.10495i	−0.583026	−	0.336610i
$231$	−1.50017	−	23.3091i	−0.0987037	−	1.53363i
$232$	−8.88597	−	2.38099i	−0.583392	−	0.156320i
$233$	3.64239	+	6.30880i	0.238621	+	0.413303i	0.960319	−	0.278905i	$-0.0899714\pi$
$233$	3.64239	+	6.30880i	0.238621	+	0.413303i	−0.721698	+	0.692208i	$0.756638\pi$
$234$	9.97237	−	2.91324i	0.651914	−	0.190444i
$235$	−10.2011	+	17.6688i	−0.665446	+	1.15259i
$236$	0.355783	+	1.32780i	0.0231595	+	0.0864325i
$237$	6.23405	+	6.29027i	0.404945	+	0.408597i
$238$	9.64970	+	1.88626i	0.625497	+	0.122268i
$239$	−13.2228	+	13.2228i	−0.855314	+	0.855314i	−0.990782	−	0.135468i	$-0.956746\pi$
$239$	−13.2228	+	13.2228i	−0.855314	+	0.855314i	0.135468	+	0.990782i	$0.456746\pi$
$240$	−1.65089	+	2.83001i	−0.106564	+	0.182676i
$241$	−25.4131	−	6.80942i	−1.63700	−	0.438633i	−0.681068	−	0.732220i	$-0.738484\pi$
$241$	−25.4131	−	6.80942i	−1.63700	−	0.438633i	−0.955932	+	0.293587i	$0.905151\pi$
$242$	−13.8970	+	3.72370i	−0.893336	+	0.239369i
$243$	−4.37147	+	14.9630i	−0.280430	+	0.959874i
$244$	0.0378448	−	0.0218497i	0.00242276	−	0.00139878i
$245$	11.6812	−	15.4338i	0.746287	−	0.986027i
$246$	3.33550	+	12.6756i	0.212664	+	0.808164i
$247$	−19.4562	+	5.87382i	−1.23797	+	0.373742i
$248$	0.123777	+	0.0714626i	0.00785984	+	0.00453788i
$249$	−9.30829	+	15.9566i	−0.589889	+	1.01121i
$250$	−3.12599	+	5.41437i	−0.197705	+	0.342435i
$251$	10.1625	−	17.6020i	0.641451	−	1.11103i	−0.343658	−	0.939095i	$-0.611666\pi$
$251$	10.1625	−	17.6020i	0.641451	−	1.11103i	0.985109	−	0.171931i	$-0.0550007\pi$
$252$	−8.53693	+	0.510968i	−0.537776	+	0.0321880i
$253$	−18.9267	+	5.07138i	−1.18991	+	0.318835i
$254$	6.69631	+	6.69631i	0.420164	+	0.420164i
$255$	9.19331	+	16.0896i	0.575707	+	1.00757i
$256$	8.50310	+	14.7278i	0.531444	+	0.920488i
$257$	−4.30903	+	7.46346i	−0.268790	+	0.465558i	−0.968550	−	0.248821i	$-0.919957\pi$
$257$	−4.30903	+	7.46346i	−0.268790	+	0.465558i	0.699760	+	0.714378i	$0.253290\pi$
$258$	0.0476245	−	10.6101i	0.00296497	−	0.660554i
$259$	3.45711	−	3.96849i	0.214814	−	0.246590i
$260$	−2.45318	+	10.4584i	−0.152140	+	0.648603i
$261$	−4.74081	+	8.04369i	−0.293449	+	0.497892i
$262$	−0.738771	−	0.738771i	−0.0456414	−	0.0456414i
$263$			19.1112i			1.17845i	0.807971	+	0.589223i	$0.200566\pi$
$263$			19.1112i			1.17845i	−0.807971	+	0.589223i	$0.799434\pi$
$264$	6.64068	+	25.2359i	0.408705	+	1.55316i
$265$	18.0364	+	18.0364i	1.10797	+	1.10797i
$266$	−14.2901	+	0.984137i	−0.876185	+	0.0603413i
$267$	−19.6491	+	11.2271i	−1.20250	+	0.687087i
$268$	0.0700356	+	0.0187660i	0.00427811	+	0.00114632i
$269$	5.36240	−	3.09598i	0.326951	−	0.188765i	−0.327535	−	0.944839i	$-0.606218\pi$
$269$	5.36240	−	3.09598i	0.326951	−	0.188765i	0.654487	+	0.756073i	$0.272885\pi$
$270$	9.62596	+	9.88875i	0.585817	+	0.601810i
$271$	3.78073	+	14.1099i	0.229663	+	0.857114i	0.980482	+	0.196606i	$0.0629921\pi$
$271$	3.78073	+	14.1099i	0.229663	+	0.857114i	−0.750820	+	0.660507i	$0.770341\pi$
$272$	−2.64686			−0.160489
$273$	15.4782	−	5.78139i	0.936785	−	0.349905i
$274$	9.58230			0.578888
$275$	−3.49055	−	13.0269i	−0.210488	−	0.785552i
$276$	1.82575	+	6.93820i	0.109897	+	0.417631i
$277$	16.8802	−	9.74577i	1.01423	−	0.585566i	0.101803	−	0.994805i	$-0.467539\pi$
$277$	16.8802	−	9.74577i	1.01423	−	0.585566i	0.912428	+	0.409238i	$0.134205\pi$
$278$	9.48106	+	2.54044i	0.568636	+	0.152366i
$279$	0.103489	−	0.101648i	0.00619575	−	0.00608549i
$280$	−9.50008	+	19.4261i	−0.567738	+	1.16093i
$281$	−15.2153	−	15.2153i	−0.907669	−	0.907669i	0.0884149	−	0.996084i	$-0.471820\pi$
$281$	−15.2153	−	15.2153i	−0.907669	−	0.907669i	−0.996084	+	0.0884149i	$0.971820\pi$
$282$	−11.8706	+	3.12367i	−0.706881	+	0.186012i
$283$		−	16.3493i		−	0.971867i	−0.873996	−	0.485934i	$-0.838480\pi$
$283$		−	16.3493i		−	0.971867i	0.873996	−	0.485934i	$-0.161520\pi$
$284$	1.85838	+	1.85838i	0.110275	+	0.110275i
$285$	−19.0034	−	19.1747i	−1.12566	−	1.13581i
$286$	−9.30114	−	15.0018i	−0.549988	−	0.887072i
$287$	6.76576	+	19.7166i	0.399370	+	1.16384i
$288$	15.2629	−	3.94316i	0.899372	−	0.232353i
$289$	1.01472	−	1.75755i	0.0596897	−	0.103386i
$290$	4.13287	+	7.15835i	0.242691	+	0.420353i
$291$	−22.4680	+	12.8378i	−1.31710	+	0.752566i
$292$	10.4561	+	10.4561i	0.611896	+	0.611896i
$293$	−12.1047	+	3.24344i	−0.707164	+	0.189484i	−0.594437	−	0.804142i	$-0.702625\pi$
$293$	−12.1047	+	3.24344i	−0.707164	+	0.189484i	−0.112727	+	0.993626i	$0.535958\pi$
$294$	11.5423	−	1.54460i	0.673161	−	0.0900832i
$295$	1.76387	−	3.05512i	0.102697	−	0.177876i
$296$	−2.94001	+	5.09224i	−0.170884	+	0.295981i
$297$	26.4823	+	0.356626i	1.53666	+	0.0206935i
$298$	17.1253	+	9.88727i	0.992039	+	0.572754i
$299$	−7.30384	−	11.7803i	−0.422392	−	0.681273i
$300$	−4.77545	+	1.25663i	−0.275711	+	0.0725517i
$301$	−1.15935	−	16.8343i	−0.0668237	−	0.970313i
$302$	0.682325	−	0.393941i	0.0392634	−	0.0226687i
$303$	−15.0963	+	3.97250i	−0.867259	+	0.228214i
$304$	3.72462	−	0.998009i	0.213622	−	0.0572397i
$305$	−0.108325	−	0.0290255i	−0.00620265	−	0.00166199i
$306$	−2.98208	+	10.7426i	−0.170474	+	0.614113i
$307$	−23.4775	+	23.4775i	−1.33993	+	1.33993i	−0.443817	+	0.896118i	$0.646376\pi$
$307$	−23.4775	+	23.4775i	−1.33993	+	1.33993i	−0.896118	+	0.443817i	$0.853624\pi$
$308$	4.71608	+	13.7435i	0.268724	+	0.783110i
$309$	−0.231463	+	0.229394i	−0.0131675	+	0.0130498i
$310$	−0.0332374	−	0.124044i	−0.00188776	−	0.00704520i
$311$	12.9963	−	22.5103i	0.736953	−	1.27644i	−0.216909	−	0.976192i	$-0.569597\pi$
$311$	12.9963	−	22.5103i	0.736953	−	1.27644i	0.953861	−	0.300248i	$-0.0970693\pi$
$312$	−15.7321	+	9.65647i	−0.890655	+	0.546690i
$313$	3.70619	+	6.41931i	0.209486	+	0.362841i	0.951553	−	0.307485i	$-0.0994875\pi$
$313$	3.70619	+	6.41931i	0.209486	+	0.362841i	−0.742067	+	0.670326i	$0.766154\pi$
$314$	4.40932	+	1.18147i	0.248832	+	0.0666744i
$315$	16.4188	+	14.5643i	0.925093	+	0.820607i
$316$	−4.77114	−	2.75462i	−0.268397	−	0.154959i
$317$	25.9601	+	6.95598i	1.45806	+	0.390687i	0.898820	−	0.438318i	$-0.144426\pi$
$317$	25.9601	+	6.95598i	1.45806	+	0.390687i	0.559242	+	0.829004i	$0.311092\pi$
$318$	−0.0688820	+	15.3459i	−0.00386271	+	0.860558i
$319$	15.3227	+	4.10570i	0.857905	+	0.229875i
$320$	4.59114	−	17.1344i	0.256653	−	0.957841i
$321$	13.8685	+	3.78285i	0.774064	+	0.211138i
$322$	−3.17077	−	9.24021i	−0.176700	−	0.514937i
$323$	5.64471	−	21.0663i	0.314080	−	1.17216i
$324$	0.174099	−	9.69573i	0.00967218	−	0.538652i
$325$	8.10820	−	5.02711i	0.449762	−	0.278854i
$326$	−13.7292	−	7.92657i	−0.760391	−	0.439012i
$327$	−2.58580	+	1.47748i	−0.142995	+	0.0817046i
$328$	−11.6442	−	20.1684i	−0.642944	−	1.11361i
$329$	−18.4645	+	6.33607i	−1.01798	+	0.349319i
$330$	11.8143	−	20.2525i	0.650355	−	1.11486i
$331$	−4.90081	−	4.90081i	−0.269373	−	0.269373i	0.559475	−	0.828848i	$-0.311003\pi$
$331$	−4.90081	−	4.90081i	−0.269373	−	0.269373i	−0.828848	+	0.559475i	$0.811003\pi$
$332$	2.97430	−	11.1002i	0.163236	−	0.609205i
$333$	4.18184	+	4.25760i	0.229163	+	0.233315i
$334$	4.42964			0.242379
$335$	−0.0930365	−	0.161144i	−0.00508313	−	0.00880423i
$336$	−2.96970	+	1.00418i	−0.162010	+	0.0547823i
$337$		−	29.4944i		−	1.60666i	−0.595533	−	0.803331i	$-0.703059\pi$
$337$		−	29.4944i		−	1.60666i	0.595533	−	0.803331i	$-0.296941\pi$
$338$	8.25761	−	9.36580i	0.449155	−	0.509432i
$339$	−7.76569	−	2.11821i	−0.421774	−	0.115046i
$340$	−8.15133	−	8.15133i	−0.442068	−	0.442068i
$341$	−0.213437	−	0.123228i	−0.0115583	−	0.00667316i
$342$	0.145804	−	16.2412i	0.00788419	−	0.878225i
$343$	18.1276	−	3.79330i	0.978800	−	0.204819i
$344$	4.87925	+	18.2096i	0.263072	+	0.981797i
$345$	9.27732	−	15.9035i	0.499474	−	0.856216i
$346$	−1.10176	−	4.11181i	−0.0592308	−	0.221052i
$347$	20.9473	−	12.0939i	1.12451	−	0.649236i	0.181961	−	0.983306i	$-0.441755\pi$
$347$	20.9473	−	12.0939i	1.12451	−	0.649236i	0.942548	+	0.334070i	$0.108422\pi$
$348$	1.52846	−	5.60355i	0.0819339	−	0.300382i
$349$	6.74511	+	1.80735i	0.361057	+	0.0967450i	0.434787	−	0.900533i	$-0.356824\pi$
$349$	6.74511	+	1.80735i	0.361057	+	0.0967450i	−0.0737299	+	0.997278i	$0.523490\pi$
$350$	6.35988	−	2.18239i	0.339950	−	0.116654i
$351$	5.17272	+	18.0067i	0.276099	+	0.961129i
$352$	−13.3915	−	23.1947i	−0.713767	−	1.23628i
$353$	−17.9195	+	17.9195i	−0.953760	+	0.953760i	−0.998977	−	0.0452170i	$-0.985602\pi$
$353$	−17.9195	+	17.9195i	−0.953760	+	0.953760i	0.0452170	+	0.998977i	$0.485602\pi$
$354$	2.05254	−	0.540114i	0.109091	−	0.0287067i
$355$		−	6.74463i		−	0.357968i
$356$	9.95460	−	9.95460i	0.527593	−	0.527593i
$357$	−3.47961	+	17.3860i	−0.184160	+	0.920166i
$358$	−6.53050	−	24.3722i	−0.345148	−	1.28811i
$359$	−3.87705	+	14.4694i	−0.204623	+	0.763664i	0.784941	+	0.619570i	$0.212693\pi$
$359$	−3.87705	+	14.4694i	−0.204623	+	0.763664i	−0.989564	+	0.144093i	$0.953973\pi$
$360$	−21.1240	−	12.4501i	−1.11333	−	0.656180i
$361$			12.7726i			0.672244i
$362$	−5.72538	+	1.53411i	−0.300919	+	0.0806311i
$363$	−6.60246	−	25.0907i	−0.346539	−	1.31692i
$364$	−8.34293	+	6.00355i	−0.437288	+	0.314672i
$365$		−	37.9483i		−	1.98630i
$366$	−0.0334728	−	0.0585823i	−0.00174965	−	0.00306215i
$367$	10.2343			0.534226			0.267113	−	0.963665i	$-0.413930\pi$
$367$	10.2343			0.534226			0.267113	+	0.963665i	$0.413930\pi$
$368$	1.31492	+	2.27750i	0.0685448	+	0.118723i
$369$	−22.8848	+	5.91230i	−1.19134	+	0.307782i
$370$	5.10321	−	1.36740i	0.265303	−	0.0710878i
$371$	1.67683	+	24.3484i	0.0870567	+	1.26411i
$372$	−0.0454698	+	0.0779460i	−0.00235750	+	0.00404131i
$373$	−12.2127			−0.632351			−0.316175	−	0.948701i	$-0.602399\pi$
$373$	−12.2127			−0.632351			−0.316175	+	0.948701i	$0.602399\pi$
$374$	18.9418			0.979456
$375$	−9.73843	−	5.68092i	−0.502890	−	0.293361i
$376$	18.8875	−	10.9047i	0.974048	−	0.562367i
$377$	0.352292	+	11.2159i	0.0181440	+	0.577650i
$378$	0.729752	+	13.1842i	0.0375344	+	0.678124i
$379$	−1.64440	+	6.13700i	−0.0844673	+	0.315236i	−0.995213	−	0.0977318i	$-0.968841\pi$
$379$	−1.64440	+	6.13700i	−0.0844673	+	0.315236i	0.910745	+	0.412968i	$0.135508\pi$
$380$	14.5439	+	8.39694i	0.746087	+	0.430754i
$381$	−12.1296	+	12.0212i	−0.621420	+	0.615867i
$382$	−4.90028	+	1.31303i	−0.250720	+	0.0671802i
$383$	−2.84246	+	2.84246i	−0.145243	+	0.145243i	−0.775989	−	0.630746i	$-0.782749\pi$
$383$	−2.84246	+	2.84246i	−0.145243	+	0.145243i	0.630746	+	0.775989i	$0.282749\pi$
$384$	−6.53834	+	3.73588i	−0.333658	+	0.190646i
$385$	16.3816	−	33.4977i	0.834886	−	1.70720i
$386$	−15.9130	−	9.18738i	−0.809951	−	0.467625i
$387$	19.1328	+	0.171763i	0.972572	+	0.00873118i
$388$	11.3828	−	11.3828i	0.577872	−	0.577872i
$389$	11.4480	−	19.8285i	0.580436	−	1.00535i	−0.414991	−	0.909825i	$-0.636215\pi$
$389$	11.4480	−	19.8285i	0.580436	−	1.00535i	0.995428	−	0.0955196i	$-0.0304513\pi$
$390$	16.1304	+	3.86009i	0.816794	+	0.195463i
$391$	14.8743			0.752224
$392$	−19.0632	+	8.04447i	−0.962835	+	0.406307i
$393$	1.33820	−	1.32625i	0.0675035	−	0.0669002i
$394$			16.6499i			0.838811i
$395$	3.65928	+	13.6566i	0.184118	+	0.687139i
$396$	−15.9519	+	4.12118i	−0.801613	+	0.207097i
$397$	4.90670	−	4.90670i	0.246260	−	0.246260i	−0.573174	−	0.819434i	$-0.694288\pi$
$397$	4.90670	−	4.90670i	0.246260	−	0.246260i	0.819434	+	0.573174i	$0.194288\pi$
$398$	16.4574	+	16.4574i	0.824934	+	0.824934i
$399$	−1.65902	−	25.7774i	−0.0830551	−	1.29048i
$400$	−1.56757	+	0.905036i	−0.0783784	+	0.0452518i
$401$	−28.5403	+	7.64736i	−1.42524	+	0.381891i	−0.887339	−	0.461119i	$-0.847448\pi$
$401$	−28.5403	+	7.64736i	−1.42524	+	0.381891i	−0.537898	+	0.843010i	$0.680782\pi$
$402$	0.0294593	−	0.108002i	0.00146930	−	0.00538666i
$403$	0.0398135	−	0.169733i	0.00198325	−	0.00845501i
$404$	8.40983	−	4.85542i	0.418404	−	0.241566i
$405$	−17.9103	+	17.2784i	−0.889970	+	0.858573i
$406$	−1.51726	+	7.76198i	−0.0753006	+	0.385221i
$407$	5.06965	−	8.78090i	0.251293	−	0.435253i
$408$	0.0889141	−	19.8088i	0.00440191	−	0.980683i
$409$	7.75131	−	28.9283i	0.383278	−	1.43041i	−0.457586	−	0.889165i	$-0.651286\pi$
$409$	7.75131	−	28.9283i	0.383278	−	1.43041i	0.840864	−	0.541247i	$-0.182048\pi$
$410$	−5.41573	+	20.2118i	−0.267464	+	0.998190i
$411$	−0.0775622	+	17.2798i	−0.00382586	+	0.852348i
$412$	0.101362	−	0.175563i	0.00499372	−	0.00864938i
$413$	3.19270	−	1.09557i	0.157102	−	0.0539096i
$414$	10.7250	−	2.77080i	0.527104	−	0.136177i
$415$	−25.5404	+	14.7457i	−1.25373	+	0.723840i
$416$	12.9696	−	13.8108i	0.635888	−	0.677130i
$417$	−4.65792	+	17.0766i	−0.228099	+	0.836246i
$418$	−26.6546	+	7.14208i	−1.30372	+	0.349330i
$419$	1.40929	−	0.813656i	0.0688485	−	0.0397497i	−0.465181	−	0.885216i	$-0.654011\pi$
$419$	1.40929	−	0.813656i	0.0688485	−	0.0397497i	0.534029	+	0.845466i	$0.320677\pi$
$420$	−12.2380	−	6.05308i	−0.597155	−	0.295360i
$421$	−15.9733	−	15.9733i	−0.778492	−	0.778492i	0.201082	−	0.979574i	$-0.435554\pi$
$421$	−15.9733	−	15.9733i	−0.778492	−	0.778492i	−0.979574	+	0.201082i	$0.935554\pi$
$422$	4.61163	−	4.61163i	0.224491	−	0.224491i
$423$	−5.53682	−	21.4314i	−0.269209	−	1.04203i
$424$	−7.05713	−	26.3376i	−0.342725	−	1.27907i
$425$			10.2377i			0.496602i
$426$	2.88215	−	2.85639i	0.139641	−	0.138393i
$427$	−0.0599099	−	0.0890223i	−0.00289924	−	0.00430809i
$428$	−8.94252			−0.432253
$429$	27.1279	−	16.6513i	1.30975	−	0.803933i
$430$	8.46932	−	14.6693i	0.408427	−	0.707416i
$431$	3.03083	−	3.03083i	0.145990	−	0.145990i	−0.630334	−	0.776324i	$-0.717082\pi$
$431$	3.03083	−	3.03083i	0.145990	−	0.145990i	0.776324	+	0.630334i	$0.217082\pi$
$432$	−0.873688	−	3.44558i	−0.0420353	−	0.165776i
$433$	−2.73712	−	1.58027i	−0.131537	−	0.0759432i	0.432787	−	0.901496i	$-0.357530\pi$
$433$	−2.73712	−	1.58027i	−0.131537	−	0.0759432i	−0.564325	+	0.825553i	$0.690863\pi$
$434$	0.0539811	−	0.110382i	0.00259118	−	0.00529853i
$435$	−12.9421	+	7.39487i	−0.620526	+	0.354557i
$436$	1.31002	−	1.31002i	0.0627384	−	0.0627384i
$437$	−20.9309	+	5.60841i	−1.00126	+	0.268287i
$438$	16.2163	−	16.0713i	0.774843	−	0.767918i
$439$	2.59669	+	1.49920i	0.123933	+	0.0715529i	0.560685	−	0.828029i	$-0.310538\pi$
$439$	2.59669	+	1.49920i	0.123933	+	0.0715529i	−0.436752	+	0.899582i	$0.643871\pi$
$440$	−10.7822	+	40.2399i	−0.514023	+	1.91836i
$441$	2.69196	+	20.8267i	0.128188	+	0.991750i
$442$	3.87259	+	12.8274i	0.184200	+	0.610136i
$443$	1.99740	−	1.15320i	0.0948995	−	0.0547903i	−0.451799	−	0.892120i	$-0.649218\pi$
$443$	1.99740	−	1.15320i	0.0948995	−	0.0547903i	0.546699	+	0.837329i	$0.315884\pi$
$444$	−3.20674	−	1.87065i	−0.152185	−	0.0887772i
$445$	−36.1283			−1.71264
$446$	−9.69648			−0.459142
$447$	−17.9683	+	30.8019i	−0.849872	+	1.45688i
$448$	14.0812	−	9.47633i	0.665275	−	0.447714i
$449$	24.6862	−	6.61463i	1.16501	−	0.312164i	0.376046	−	0.926601i	$-0.377284\pi$
$449$	24.6862	−	6.61463i	1.16501	−	0.312164i	0.788966	+	0.614437i	$0.210617\pi$
$450$	1.90710	+	7.38182i	0.0899014	+	0.347982i
$451$	20.0789	+	34.7777i	0.945478	+	1.63762i
$452$	5.00738			0.235527
$453$	0.704870	+	1.23363i	0.0331177	+	0.0579608i
$454$		−	5.89657i		−	0.276740i
$455$	26.0339	+	4.24515i	1.22049	+	0.199016i
$456$	7.34388	+	27.9082i	0.343909	+	1.30692i
$457$	15.9967	−	4.28629i	0.748292	−	0.200504i	0.135532	−	0.990773i	$-0.456726\pi$
$457$	15.9967	−	4.28629i	0.748292	−	0.200504i	0.612760	+	0.790269i	$0.290059\pi$
$458$		−	16.5412i		−	0.772917i
$459$	−19.3480	−	5.46454i	−0.903086	−	0.255063i
$460$	−2.96440	+	11.0633i	−0.138216	+	0.515829i
$461$	−8.04170	−	30.0120i	−0.374539	−	1.39780i	−0.854017	−	0.520245i	$-0.825841\pi$
$461$	−8.04170	−	30.0120i	−0.374539	−	1.39780i	0.479478	−	0.877554i	$-0.340826\pi$
$462$	21.2521	−	7.18621i	0.988739	−	0.334333i
$463$	4.21402	−	4.21402i	0.195842	−	0.195842i	−0.602373	−	0.798215i	$-0.705778\pi$
$463$	4.21402	−	4.21402i	0.195842	−	0.195842i	0.798215	+	0.602373i	$0.205778\pi$
$464$		−	2.12907i		−	0.0988394i
$465$	0.223957	−	0.0589329i	0.0103857	−	0.00273295i
$466$	−4.94754	+	4.94754i	−0.229190	+	0.229190i
$467$	13.1656	+	22.8035i	0.609232	+	1.05522i	0.991367	+	0.131114i	$0.0418554\pi$
$467$	13.1656	+	22.8035i	0.609232	+	1.05522i	−0.382136	+	0.924106i	$0.624811\pi$
$468$	−6.05218	−	9.96008i	−0.279762	−	0.460405i
$469$	0.0341556	−	0.174732i	0.00157716	−	0.00806839i
$470$	−18.9282	−	5.07179i	−0.873092	−	0.233944i
$471$	−2.16624	+	7.94176i	−0.0998151	+	0.365937i
$472$	−3.26584	+	1.88553i	−0.150323	+	0.0867888i
$473$	−8.41363	−	31.4001i	−0.386859	−	1.44378i
$474$	−4.28609	+	7.34736i	−0.196867	+	0.337475i
$475$	−3.86017	−	14.4064i	−0.177117	−	0.661009i
$476$	−0.757822	−	11.0040i	−0.0347347	−	0.504365i
$477$	−27.6728	−	0.248430i	−1.26705	−	0.0113748i
$478$	−15.5546	−	8.98045i	−0.711451	−	0.410756i
$479$	3.34610	+	3.34610i	0.152887	+	0.152887i	0.779406	−	0.626519i	$-0.215521\pi$
$479$	3.34610	+	3.34610i	0.152887	+	0.152887i	−0.626519	+	0.779406i	$0.715521\pi$
$480$	24.2794	+	6.62260i	1.10820	+	0.302279i
$481$	6.98291	+	1.63795i	0.318393	+	0.0746839i
$482$		−	25.2698i		−	1.15101i
$483$	16.6885	−	5.64306i	0.759354	−	0.256768i
$484$	8.06990	+	13.9775i	0.366814	+	0.635340i
$485$	−41.3114			−1.87586
$486$	−14.9686	−	0.335996i	−0.678991	−	0.0152411i
$487$	5.89702	−	22.0080i	0.267219	−	0.997276i	−0.693659	−	0.720304i	$-0.744002\pi$
$487$	5.89702	−	22.0080i	0.267219	−	0.997276i	0.960878	−	0.276972i	$-0.0893310\pi$
$488$	0.0847687	+	0.0847687i	0.00383730	+	0.00383730i
$489$	14.4051	−	24.6937i	0.651421	−	1.11669i
$490$	17.2226	+	7.00061i	0.778036	+	0.316256i
$491$	17.4356	+	30.1994i	0.786859	+	1.36288i	0.927882	+	0.372873i	$0.121627\pi$
$491$	17.4356	+	30.1994i	0.786859	+	1.36288i	−0.141024	+	0.990006i	$0.545039\pi$
$492$	12.7666	−	7.29460i	0.575563	−	0.328866i
$493$	−10.4286	−	6.02097i	−0.469682	−	0.271171i
$494$	−10.2861	−	16.5903i	−0.462792	−	0.746435i
$495$	36.4256	+	21.4686i	1.63721	+	0.964943i
$496$	−0.00856118	+	0.0319508i	−0.000384408	+	0.00143463i
$497$	4.23897	−	4.86601i	0.190144	−	0.218270i
$498$	−17.1177	−	4.66913i	−0.767064	−	0.209229i
$499$	9.44888	−	35.2637i	0.422990	−	1.57862i	−0.345284	−	0.938498i	$-0.612217\pi$
$499$	9.44888	−	35.2637i	0.422990	−	1.57862i	0.768274	−	0.640121i	$-0.221116\pi$
$500$	6.77456	+	1.81524i	0.302967	+	0.0811799i
$501$	−0.0358549	+	7.98796i	−0.00160188	+	0.356876i
$502$	18.8566	+	5.05260i	0.841610	+	0.225509i
$503$	−7.12285	−	4.11238i	−0.317592	−	0.183362i	0.332727	−	0.943023i	$-0.392031\pi$
$503$	−7.12285	−	4.11238i	−0.317592	−	0.183362i	−0.650319	+	0.759661i	$0.725365\pi$
$504$	−7.41539	−	22.2587i	−0.330308	−	0.991480i
$505$	−24.0718	−	6.45001i	−1.07118	−	0.287022i
$506$	−9.40998	−	16.2986i	−0.418325	−	0.724559i
$507$	16.8225	+	14.9667i	0.747114	+	0.664696i
$508$	5.31178	−	9.20027i	0.235672	−	0.408196i
$509$	6.40615	+	23.9081i	0.283948	+	1.05971i	0.949605	+	0.313450i	$0.101485\pi$
$509$	6.40615	+	23.9081i	0.283948	+	1.05971i	−0.665657	+	0.746258i	$0.731849\pi$
$510$	−12.6418	+	12.5288i	−0.559789	+	0.554787i
$511$	23.8503	−	27.3783i	1.05508	−	1.21115i
$512$	−5.40143	+	5.40143i	−0.238712	+	0.238712i
$513$	29.2866	+	0.394390i	1.29304	+	0.0174127i
$514$	−7.99543	−	2.14237i	−0.352663	−	0.0944958i
$515$	−0.502522	+	0.134650i	−0.0221438	+	0.00593340i
$516$	−11.5108	+	3.02899i	−0.506733	+	0.133344i
$517$	−32.5690	+	18.8037i	−1.43238	+	0.826986i
$518$	4.54119	+	2.22081i	0.199528	+	0.0975768i
$519$	7.42374	−	1.95351i	0.325866	−	0.0857497i
$520$	−29.4549	+	0.925176i	−1.29168	+	0.0405717i
$521$	23.5801	+	13.6140i	1.03306	+	0.596439i	0.917861	−	0.396903i	$-0.129915\pi$
$521$	23.5801	+	13.6140i	1.03306	+	0.596439i	0.115202	+	0.993342i	$0.463248\pi$
$522$	−8.64107	−	2.39871i	−0.378209	−	0.104989i
$523$	−15.0029	+	25.9857i	−0.656029	+	1.13628i	0.325605	+	0.945506i	$0.394432\pi$
$523$	−15.0029	+	25.9857i	−0.656029	+	1.13628i	−0.981635	+	0.190770i	$0.938901\pi$
$524$	−0.586023	+	1.01502i	−0.0256005	+	0.0443414i
$525$	3.88402	+	11.4864i	0.169513	+	0.501309i
$526$	−17.7304	+	4.75086i	−0.773084	+	0.207147i
$527$	0.132291	+	0.132291i	0.00576268	+	0.00576268i
$528$	−5.24368	+	2.99614i	−0.228202	+	0.130390i
$529$	4.11069	+	7.11993i	0.178726	+	0.309562i
$530$	−12.2496	+	21.2170i	−0.532090	+	0.921608i
$531$	0.957373	+	3.70572i	0.0415464	+	0.160814i
$532$	5.21548	+	15.1989i	0.226120	+	0.658954i
$533$	−19.4464	+	20.7076i	−0.842317	+	0.896947i
$534$	−15.3005	−	15.4385i	−0.662119	−	0.668090i
$535$	16.2276	+	16.2276i	0.701578	+	0.701578i
$536$			0.198907i			0.00859148i
$537$	44.0031	−	11.5792i	1.89888	−	0.499678i
$538$	4.20535	+	4.20535i	0.181306	+	0.181306i
$539$	32.8719	−	13.8716i	1.41589	−	0.597493i
$540$	7.92046	−	13.3017i	0.340842	−	0.572415i
$541$	34.7516	+	9.31166i	1.49409	+	0.400340i	0.911115	−	0.412152i	$-0.135223\pi$
$541$	34.7516	+	9.31166i	1.49409	+	0.400340i	0.582973	+	0.812492i	$0.301889\pi$
$542$	−12.1506	+	7.01516i	−0.521914	+	0.301327i
$543$	−2.72012	−	10.3370i	−0.116731	−	0.443603i
$544$	5.26211	+	19.6385i	0.225611	+	0.841992i
$545$	−4.75445			−0.203658
$546$	9.21144	+	12.9228i	0.394213	+	0.553044i
$547$	−20.0418			−0.856926			−0.428463	−	0.903559i	$-0.640945\pi$
$547$	−20.0418			−0.856926			−0.428463	+	0.903559i	$0.640945\pi$
$548$	−2.78218	−	10.3833i	−0.118849	−	0.443550i
$549$	0.105912	−	0.0598873i	0.00452023	−	0.00255593i
$550$	11.2180	−	6.47673i	0.478338	−	0.276169i
$551$	16.9452	+	4.54047i	0.721892	+	0.193430i
$552$	−17.0888	+	9.76420i	−0.727347	+	0.415592i
$553$	−5.94307	+	12.1526i	−0.252725	+	0.516780i
$554$	13.2379	+	13.2379i	0.562425	+	0.562425i
$555$	2.42453	+	9.21368i	0.102915	+	0.391099i
$556$		−	11.0112i		−	0.466977i
$557$	29.3945	+	29.3945i	1.24549	+	1.24549i	0.957693	+	0.287792i	$0.0929213\pi$
$557$	29.3945	+	29.3945i	1.24549	+	1.24549i	0.287792	+	0.957693i	$0.407079\pi$
$558$	0.120031	+	0.0707439i	0.00508130	+	0.00299483i
$559$	19.5440	−	12.1174i	0.826624	−	0.512510i
$560$	−4.91173	−	0.960114i	−0.207558	−	0.0405722i
$561$	−0.153321	+	34.1577i	−0.00647321	+	1.44214i
$562$	10.3337	−	17.8984i	0.435899	−	0.754999i
$563$	5.93481	+	10.2794i	0.250122	+	0.433225i	0.963559	−	0.267495i	$-0.0861958\pi$
$563$	5.93481	+	10.2794i	0.250122	+	0.433225i	−0.713437	+	0.700719i	$0.752863\pi$
$564$	6.83133	+	11.9558i	0.287651	+	0.503431i
$565$	−9.08665	−	9.08665i	−0.382278	−	0.382278i
$566$	15.1681	−	4.06429i	0.637565	−	0.170835i
$567$	−23.7810	+	1.20924i	−0.998710	+	0.0507835i
$568$	−3.60492	+	6.24390i	−0.151259	+	0.261988i
$569$	2.80705	−	4.86196i	0.117678	−	0.203824i	−0.801169	−	0.598438i	$-0.795788\pi$
$569$	2.80705	−	4.86196i	0.117678	−	0.203824i	0.918847	+	0.394614i	$0.129122\pi$
$570$	13.0653	−	22.3971i	0.547247	−	0.938110i
$571$	1.98417	+	1.14556i	0.0830348	+	0.0479402i	0.540943	−	0.841060i	$-0.318068\pi$
$571$	1.98417	+	1.14556i	0.0830348	+	0.0479402i	−0.457908	+	0.889000i	$0.651401\pi$
$572$	−13.5551	+	14.4343i	−0.566769	+	0.603528i
$573$	−2.32811	−	8.84729i	−0.0972583	−	0.369601i
$574$	−16.6103	+	11.1783i	−0.693299	+	0.466574i
$575$	8.80910	−	5.08594i	0.367365	−	0.212098i
$576$	9.47275	+	16.7528i	0.394698	+	0.698034i
$577$	−2.78936	+	0.747407i	−0.116123	+	0.0311150i	−0.316412	−	0.948622i	$-0.602478\pi$
$577$	−2.78936	+	0.747407i	−0.116123	+	0.0311150i	0.200290	+	0.979737i	$0.435812\pi$
$578$	1.88283	+	0.504502i	0.0783153	+	0.0209845i
$579$	16.6964	−	28.6215i	0.693879	−	1.18947i
$580$	6.55672	−	6.55672i	0.272253	−	0.272253i
$581$	−27.6941	−	5.41347i	−1.14894	−	0.224588i
$582$	−17.4957	−	17.6534i	−0.725218	−	0.731758i
$583$	12.1691	+	45.4157i	0.503992	+	1.88093i
$584$	−20.2829	+	35.1310i	−0.839311	+	1.45373i
$585$	−7.09146	+	29.0567i	−0.293196	+	1.20134i
$586$	−6.01823	−	10.4239i	−0.248611	−	0.430606i
$587$	−5.29161	−	1.41788i	−0.218408	−	0.0585222i	0.147956	−	0.988994i	$-0.452731\pi$
$587$	−5.29161	−	1.41788i	−0.218408	−	0.0585222i	−0.366364	+	0.930472i	$0.619397\pi$
$588$	−5.02498	−	12.0586i	−0.207227	−	0.497289i
$589$	−0.236038	−	0.136277i	−0.00972580	−	0.00561519i
$590$	3.27288	+	0.876965i	0.134742	+	0.0361041i
$591$	−30.0248	−	0.134770i	−1.23505	−	0.00554369i
$592$	−1.31447	−	0.352211i	−0.0540244	−	0.0144758i
$593$	2.37046	−	8.84666i	0.0973430	−	0.363289i	−0.900021	−	0.435846i	$-0.856449\pi$
$593$	2.37046	−	8.84666i	0.0973430	−	0.363289i	0.997364	+	0.0725570i	$0.0231159\pi$
$594$	6.25239	+	24.6577i	0.256539	+	1.01172i
$595$	−18.5931	+	21.3435i	−0.762244	+	0.874998i
$596$	5.74146	−	21.4274i	0.235179	−	0.877701i
$597$	−29.8108	+	29.5444i	−1.22007	+	1.20917i
$598$	9.11356	−	9.70463i	0.372681	−	0.396852i
$599$	9.10719	+	5.25804i	0.372110	+	0.214838i	0.674380	−	0.738385i	$-0.264411\pi$
$599$	9.10719	+	5.25804i	0.372110	+	0.214838i	−0.302270	+	0.953222i	$0.597744\pi$
$600$	−6.72054	−	11.7619i	−0.274365	−	0.480179i
$601$	−2.14720	−	3.71907i	−0.0875863	−	0.151704i	0.818904	−	0.573930i	$-0.194582\pi$
$601$	−2.14720	−	3.71907i	−0.0875863	−	0.151704i	−0.906490	+	0.422227i	$0.861249\pi$
$602$	15.3299	−	5.26044i	0.624799	−	0.214400i
$603$	0.194522	+	0.0539982i	0.00792155	+	0.00219898i
$604$	−0.624979	−	0.624979i	−0.0254300	−	0.0254300i
$605$	10.7202	−	40.0083i	0.435838	−	1.62657i
$606$	−7.43829	−	13.0181i	−0.302160	−	0.528824i
$607$	14.7009			0.596689			0.298345	−	0.954458i	$-0.403566\pi$
$607$	14.7009			0.596689			0.298345	+	0.954458i	$0.403566\pi$
$608$	−14.8095	−	25.6509i	−0.600606	−	1.04028i
$609$	−13.9849	−	2.79891i	−0.566696	−	0.113418i
$610$		−	0.107714i		−	0.00436121i
$611$	−19.3925	−	18.2114i	−0.784537	−	0.736754i
$612$	12.5064	+	0.112275i	0.505540	+	0.00453844i
$613$	21.4373	+	21.4373i	0.865843	+	0.865843i	0.992009	−	0.126166i	$-0.0402672\pi$
$613$	21.4373	+	21.4373i	0.865843	+	0.865843i	−0.126166	+	0.992009i	$0.540267\pi$
$614$	−27.6177	−	15.9451i	−1.11456	−	0.643490i
$615$	−36.4041	−	9.92979i	−1.46795	−	0.400408i
$616$	−33.0695	+	22.2550i	−1.33241	+	0.896681i
$617$	−0.419860	−	1.56694i	−0.0169029	−	0.0630826i	0.956959	−	0.290222i	$-0.0937293\pi$
$617$	−0.419860	−	1.56694i	−0.0169029	−	0.0630826i	−0.973862	+	0.227140i	$0.927063\pi$
$618$	−0.270361	−	0.157715i	−0.0108755	−	0.00634423i
$619$	4.71072	+	17.5806i	0.189340	+	0.706626i	0.993660	+	0.112429i	$0.0358632\pi$
$619$	4.71072	+	17.5806i	0.189340	+	0.706626i	−0.804320	+	0.594196i	$0.797470\pi$
$620$	−0.124762	+	0.0720311i	−0.00501054	+	0.00289284i
$621$	4.90977	+	19.3628i	0.197022	+	0.777001i
$622$	24.1147	+	6.46152i	0.966912	+	0.259083i
$623$	−26.0652	−	22.7064i	−1.04428	−	0.909713i
$624$	−3.10104	−	2.93847i	−0.124141	−	0.117633i
$625$	−15.6143	−	27.0448i	−0.624574	−	1.08179i
$626$	−5.03421	+	5.03421i	−0.201207	+	0.201207i
$627$	−12.6636	−	48.1240i	−0.505734	−	1.92189i
$628$		−	5.12091i		−	0.204347i
$629$	−5.44251	+	5.44251i	−0.217007	+	0.217007i
$630$	−9.43054	+	18.8531i	−0.375722	+	0.751126i
$631$	6.18042	+	23.0656i	0.246039	+	0.918229i	0.972859	+	0.231401i	$0.0743308\pi$
$631$	6.18042	+	23.0656i	0.246039	+	0.918229i	−0.726820	+	0.686828i	$0.759002\pi$
$632$	3.91167	−	14.5986i	0.155598	−	0.580700i
$633$	8.27882	+	8.35348i	0.329054	+	0.332021i
$634$			25.8137i			1.02519i
$635$	−26.3343	+	7.05625i	−1.04504	+	0.280019i
$636$	16.6486	−	4.38099i	0.660162	−	0.173718i
$637$	16.1144	+	19.4249i	0.638477	+	0.769641i
$638$			15.2363i			0.603211i
$639$	5.12760	+	5.22050i	0.202845	+	0.206520i
$640$	−12.0219			−0.475207
$641$	−2.75448	−	4.77090i	−0.108795	−	0.188439i	0.806487	−	0.591252i	$-0.201366\pi$
$641$	−2.75448	−	4.77090i	−0.108795	−	0.188439i	−0.915283	+	0.402812i	$0.868033\pi$
$642$	−0.0619739	+	13.8069i	−0.00244592	+	0.544916i
$643$	−2.34597	+	0.628601i	−0.0925160	+	0.0247896i	−0.304780	−	0.952423i	$-0.598583\pi$
$643$	−2.34597	+	0.628601i	−0.0925160	+	0.0247896i	0.212264	+	0.977212i	$0.431916\pi$
$644$	−9.09194	+	6.11866i	−0.358273	+	0.241109i
$645$	26.3846	+	15.3914i	1.03889	+	0.606038i
$646$	20.9476			0.824172
$647$	−39.2320			−1.54237			−0.771184	−	0.636612i	$-0.780335\pi$
$647$	−39.2320			−1.54237			−0.771184	+	0.636612i	$0.780335\pi$
$648$	25.8157	−	6.42284i	1.01414	−	0.252313i
$649$	5.63151	−	3.25136i	0.221056	−	0.127627i
$650$	6.67954	+	6.27271i	0.261993	+	0.246036i
$651$	0.198616	+	0.0982376i	0.00778436	+	0.00385023i
$652$	−4.60289	+	17.1782i	−0.180263	+	0.672752i
$653$	8.58130	+	4.95442i	0.335812	+	0.193881i	0.658419	−	0.752652i	$-0.271226\pi$
$653$	8.58130	+	4.95442i	0.335812	+	0.193881i	−0.322606	+	0.946533i	$0.604559\pi$
$654$	−2.01354	−	2.03170i	−0.0787356	−	0.0794456i
$655$	2.90534	−	0.778482i	0.113521	−	0.0304178i
$656$	3.81113	−	3.81113i	0.148799	−	0.148799i
$657$	28.8502	+	29.3729i	1.12555	+	1.14594i
$658$	−10.4684	−	15.5554i	−0.408101	−	0.606411i
$659$	−3.59326	−	2.07457i	−0.139974	−	0.0808139i	0.428378	−	0.903600i	$-0.359085\pi$
$659$	−3.59326	−	2.07457i	−0.139974	−	0.0808139i	−0.568351	+	0.822786i	$0.692419\pi$
$660$	−25.3755	−	6.92158i	−0.987741	−	0.269422i
$661$	7.96892	−	7.96892i	0.309955	−	0.309955i	−0.534937	−	0.844892i	$-0.679665\pi$
$661$	7.96892	−	7.96892i	0.309955	−	0.309955i	0.844892	+	0.534937i	$0.179665\pi$
$662$	3.32845	−	5.76504i	0.129364	−	0.224065i
$663$	−23.1630	+	6.87960i	−0.899575	+	0.267182i
$664$	31.5256			1.22343
$665$	18.1163	−	37.0449i	0.702522	−	1.43654i
$666$	−2.91044	+	4.93811i	−0.112777	+	0.191348i
$667$			11.9645i			0.463267i
$668$	−1.28613	−	4.79990i	−0.0497618	−	0.185714i
$669$	0.0784864	−	17.4857i	0.00303446	−	0.676035i
$670$	0.126374	−	0.126374i	0.00488224	−	0.00488224i
$671$	−0.146172	−	0.146172i	−0.00564292	−	0.00564292i
$672$	13.3545	+	20.0374i	0.515159	+	0.772961i
$673$	−17.7154	+	10.2280i	−0.682878	+	0.394260i	−0.800938	−	0.598747i	$-0.795666\pi$
$673$	−17.7154	+	10.2280i	−0.682878	+	0.394260i	0.118061	+	0.993006i	$0.462332\pi$
$674$	27.3635	−	7.33203i	1.05400	−	0.282419i
$675$	−13.3271	+	3.37931i	−0.512959	+	0.130070i
$676$	−12.5462	−	6.22851i	−0.482547	−	0.239558i
$677$	−0.409983	+	0.236704i	−0.0157569	+	0.00909727i	−0.507858	−	0.861441i	$-0.669562\pi$
$677$	−0.409983	+	0.236704i	−0.0157569	+	0.00909727i	0.492101	+	0.870538i	$0.336229\pi$
$678$	0.0347024	−	7.73121i	0.00133274	−	0.296915i
$679$	−29.8047	−	25.9640i	−1.14380	−	0.996408i
$680$	15.8121	−	27.3873i	0.606365	−	1.05025i
$681$	10.6333	+	0.0477287i	0.407468	+	0.00182897i
$682$	0.0612666	−	0.228650i	0.00234602	−	0.00875546i
$683$	−0.166341	+	0.620795i	−0.00636488	+	0.0237541i	−0.969035	−	0.246922i	$-0.920581\pi$
$683$	−0.166341	+	0.620795i	−0.00636488	+	0.0237541i	0.962670	+	0.270677i	$0.0872474\pi$
$684$	−17.6411	+	4.55758i	−0.674524	+	0.174264i
$685$	−13.7933	+	23.8907i	−0.527014	+	0.912815i
$686$	8.02561	+	15.8750i	0.306419	+	0.606109i
$687$	29.8286	+	0.133889i	1.13803	+	0.00510819i
$688$	−3.77847	+	2.18150i	−0.144053	+	0.0831689i
$689$	−28.2676	+	17.5260i	−1.07691	+	0.667688i
$690$	17.0608	+	4.65360i	0.649493	+	0.177159i
$691$	−24.5406	+	6.57563i	−0.933567	+	0.250149i	−0.693375	−	0.720577i	$-0.743877\pi$
$691$	−24.5406	+	6.57563i	−0.933567	+	0.250149i	−0.240192	+	0.970725i	$0.577210\pi$
$692$	−4.13561	+	2.38770i	−0.157212	+	0.0907666i
$693$	12.7869	+	38.3821i	0.485732	+	1.45802i
$694$	16.4275	+	16.4275i	0.623578	+	0.623578i
$695$	−19.9814	+	19.9814i	−0.757937	+	0.757937i
$696$	15.9337	+	0.0715203i	0.603966	+	0.00271097i
$697$	−7.88990	−	29.4455i	−0.298851	−	1.11533i
$698$			6.70708i			0.253867i
$699$	−8.88185	−	8.96195i	−0.335943	−	0.338972i
$700$	−4.21137	−	6.25783i	−0.159175	−	0.236524i
$701$	−26.2081			−0.989868			−0.494934	−	0.868931i	$-0.664808\pi$
$701$	−26.2081			−0.989868			−0.494934	+	0.868931i	$0.664808\pi$
$702$	−15.4199	+	9.27531i	−0.581987	+	0.350074i
$703$	5.60650	−	9.71074i	0.211453	−	0.366247i
$704$	23.1210	−	23.1210i	0.871406	−	0.871406i
$705$	9.29916	−	34.0921i	0.350227	−	1.28398i
$706$	−21.0795	−	12.1703i	−0.793338	−	0.458034i
$707$	−13.3131	−	19.7824i	−0.500691	−	0.743995i
$708$	−1.18121	−	2.06728i	−0.0443925	−	0.0776933i
$709$	16.7604	−	16.7604i	0.629449	−	0.629449i	−0.318480	−	0.947930i	$-0.603172\pi$
$709$	16.7604	−	16.7604i	0.629449	−	0.629449i	0.947930	+	0.318480i	$0.103172\pi$
$710$	6.25735	−	1.67665i	0.234834	−	0.0629237i
$711$	−13.2148	−	7.78857i	−0.495594	−	0.292094i
$712$	33.4461	+	19.3101i	1.25344	+	0.723676i
$713$	0.0481104	−	0.179550i	0.00180175	−	0.00672421i
$714$	−16.9949	+	1.09379i	−0.636019	+	0.0409340i
$715$	50.7910	−	1.59534i	1.89948	−	0.0596625i
$716$	−24.5132	+	14.1527i	−0.916102	+	0.528912i
$717$	16.3203	−	27.9769i	0.609494	−	1.04482i
$718$	−14.3878			−0.536948
$719$	2.33084			0.0869257			0.0434628	−	0.999055i	$-0.486161\pi$
$719$	2.33084			0.0869257			0.0434628	+	0.999055i	$0.486161\pi$
$720$	1.51789	−	5.46801i	0.0565684	−	0.203781i
$721$	−0.447178	−	0.218687i	−0.0166538	−	0.00814432i
$722$	−11.8498	+	3.17516i	−0.441005	+	0.118167i
$723$	45.5690	+	0.204542i	1.69473	+	0.00760699i
$724$	3.32468	+	5.75852i	0.123561	+	0.214014i
$725$	−8.23496			−0.305839
$726$	21.6366	−	12.3628i	0.803011	−	0.458825i
$727$		−	12.7833i		−	0.474108i	−0.971496	−	0.237054i	$-0.923818\pi$
$727$		−	12.7833i		−	0.474108i	0.971496	−	0.237054i	$-0.0761819\pi$
$728$	−21.8321	−	17.8447i	−0.809151	−	0.661370i
$729$	0.727063	−	26.9902i	0.0269283	−	0.999637i
$730$	35.2066	−	9.43359i	1.30306	−	0.349153i
$731$			24.6770i			0.912712i
$732$	−0.0537603	+	0.0532798i	−0.00198704	+	0.00196928i
$733$	−0.0714658	+	0.266714i	−0.00263965	+	0.00985130i	−0.967233	−	0.253890i	$-0.918290\pi$
$733$	−0.0714658	+	0.266714i	−0.00263965	+	0.00985130i	0.964593	+	0.263741i	$0.0849565\pi$
$734$	2.54415	+	9.49490i	0.0939064	+	0.350463i
$735$	−12.7636	+	31.0008i	−0.470793	+	1.14348i
$736$	14.2839	−	14.2839i	0.526511	−	0.526511i
$737$		−	0.342989i		−	0.0126342i
$738$	−11.1741	−	19.7617i	−0.411324	−	0.727439i
$739$	−36.4214	+	36.4214i	−1.33978	+	1.33978i	−0.443516	+	0.896267i	$0.646269\pi$
$739$	−36.4214	+	36.4214i	−1.33978	+	1.33978i	−0.896267	+	0.443516i	$0.853731\pi$
$740$	−2.96339	−	5.13275i	−0.108937	−	0.188684i
$741$	30.0006	−	18.4146i	1.10210	−	0.676476i
$742$	−22.1724	+	7.60847i	−0.813976	+	0.279316i
$743$	−1.61230	−	0.432016i	−0.0591497	−	0.0158491i	0.229123	−	0.973398i	$-0.426414\pi$
$743$	−1.61230	−	0.432016i	−0.0591497	−	0.0158491i	−0.288273	+	0.957548i	$0.593081\pi$
$744$	−0.238829	−	0.0651443i	−0.00875588	−	0.00238831i
$745$	−49.3020	+	28.4645i	−1.80629	+	1.04286i
$746$	−3.03597	−	11.3304i	−0.111155	−	0.414835i
$747$	8.55840	−	30.8306i	0.313136	−	1.12803i
$748$	−5.49967	−	20.5250i	−0.201088	−	0.750470i
$749$	1.50866	+	21.9065i	0.0551254	+	0.800447i
$750$	2.84961	−	10.4471i	0.104053	−	0.381473i
$751$	−14.8177	−	8.55503i	−0.540707	−	0.312177i	0.204658	−	0.978833i	$-0.434392\pi$
$751$	−14.8177	−	8.55503i	−0.540707	−	0.312177i	−0.745365	+	0.666656i	$0.767725\pi$
$752$	3.56909	+	3.56909i	0.130151	+	0.130151i
$753$	−9.26399	+	33.9632i	−0.337598	+	1.23769i
$754$	−10.3180	+	3.11501i	−0.375760	+	0.113442i
$755$			2.26824i			0.0825496i
$756$	14.0744	−	4.61874i	0.511880	−	0.167982i
$757$	−22.4243	−	38.8401i	−0.815026	−	1.41167i	−0.909309	−	0.416122i	$-0.863389\pi$
$757$	−22.4243	−	38.8401i	−0.815026	−	1.41167i	0.0942827	−	0.995545i	$-0.469944\pi$
$758$	−6.10240			−0.221649
$759$	29.4673	−	16.8371i	1.06960	−	0.611147i
$760$	−11.9240	+	44.5010i	−0.432529	+	1.61422i
$761$	14.7175	+	14.7175i	0.533510	+	0.533510i	0.921615	−	0.388105i	$-0.126870\pi$
$761$	14.7175	+	14.7175i	0.533510	+	0.533510i	−0.388105	+	0.921615i	$0.626870\pi$
$762$	−14.1681	−	8.26494i	−0.513254	−	0.299407i
$763$	−3.43016	−	2.98814i	−0.124180	−	0.108178i
$764$	2.84555	+	4.92864i	0.102948	+	0.178312i
$765$	−22.4909	−	22.8984i	−0.813161	−	0.827894i
$766$	−3.34370	−	1.93049i	−0.120813	−	0.0697514i
$767$	3.35317	+	3.14894i	0.121076	+	0.113701i
$768$	−20.7346	−	20.9215i	−0.748194	−	0.754941i
$769$	−1.55976	+	5.82111i	−0.0562464	+	0.209914i	−0.988330	−	0.152329i	$-0.951323\pi$
$769$	−1.55976	+	5.82111i	−0.0562464	+	0.209914i	0.932083	+	0.362244i	$0.117989\pi$
$770$	35.1499	+	6.87089i	1.26672	+	0.247610i
$771$	3.92805	−	14.4008i	0.141465	−	0.518632i
$772$	−5.33504	+	19.9106i	−0.192012	+	0.716599i
$773$	10.3968	+	2.78581i	0.373946	+	0.100199i	0.440897	−	0.897558i	$-0.354660\pi$
$773$	10.3968	+	2.78581i	0.373946	+	0.100199i	−0.0669509	+	0.997756i	$0.521327\pi$
$774$	4.59687	+	17.7932i	0.165231	+	0.639562i
$775$	0.123582	+	0.0331136i	0.00443918	+	0.00118947i
$776$	38.2444	+	22.0804i	1.37290	+	0.792641i
$777$	−4.04154	+	8.17114i	−0.144989	+	0.293138i
$778$	21.2418	+	5.69173i	0.761556	+	0.204058i
$779$	22.2051	+	38.4604i	0.795581	+	1.37799i
$780$	−0.500651	−	18.5994i	−0.0179262	−	0.665966i
$781$	6.21621	−	10.7668i	0.222433	−	0.385266i
$782$	3.69760	+	13.7996i	0.132226	+	0.493474i
$783$	4.39554	−	15.5630i	0.157084	−	0.556177i
$784$	−2.94021	−	3.77968i	−0.105007	−	0.134989i
$785$	−9.29267	+	9.29267i	−0.331669	+	0.331669i
$786$	1.56309	+	0.911831i	0.0557537	+	0.0325239i
$787$	−37.1244	−	9.94746i	−1.32334	−	0.354589i	−0.473113	−	0.881002i	$-0.656870\pi$
$787$	−37.1244	−	9.94746i	−1.32334	−	0.354589i	−0.850229	+	0.526413i	$0.823537\pi$
$788$	18.0416	−	4.83424i	0.642706	−	0.172213i
$789$	−8.42370	−	32.0117i	−0.299892	−	1.13965i
$790$	−11.7603	+	6.78981i	−0.418413	+	0.241571i
$791$	−0.844779	−	12.2666i	−0.0300369	−	0.436150i
$792$	−22.2466	−	39.3438i	−0.790500	−	1.39802i
$793$	0.0691036	−	0.128873i	0.00245394	−	0.00457640i
$794$	5.77196	+	3.33245i	0.204839	+	0.118264i
$795$	−38.1615	−	22.2615i	−1.35345	−	0.789534i
$796$	13.0547	−	22.6113i	0.462710	−	0.801437i
$797$	−6.73855	+	11.6715i	−0.238692	+	0.413426i	−0.960339	−	0.278835i	$-0.910052\pi$
$797$	−6.73855	+	11.6715i	−0.238692	+	0.413426i	0.721647	+	0.692261i	$0.243385\pi$
$798$	23.5026	−	7.94718i	0.831983	−	0.281327i
$799$	27.5755	−	7.38883i	0.975550	−	0.261398i
$800$	9.83136	+	9.83136i	0.347591	+	0.347591i
$801$	27.9641	−	27.4665i	0.988063	−	0.970481i
$802$	−14.1897	−	24.5773i	−0.501057	−	0.867855i
$803$	34.9751	−	60.5787i	1.23425	−	2.13778i
$804$	−0.125583		0.000563695i	−0.00442898		1.98800e-5i
$805$	27.6019	+	5.39545i	0.972840	+	0.190165i
$806$	0.167368	−	0.00525701i	0.00589528	−	0.000185170i
$807$	−7.61754	+	7.54946i	−0.268150	+	0.265754i
$808$	18.8372	+	18.8372i	0.662691	+	0.662691i
$809$			17.4929i			0.615018i	0.951545	+	0.307509i	$0.0994953\pi$
$809$			17.4929i			0.615018i	−0.951545	+	0.307509i	$0.900505\pi$
$810$	−20.4825	−	12.3211i	−0.719680	−	0.432918i
$811$	−5.53657	−	5.53657i	−0.194415	−	0.194415i	0.603186	−	0.797601i	$-0.293898\pi$
$811$	−5.53657	−	5.53657i	−0.194415	−	0.194415i	−0.797601	+	0.603186i	$0.793898\pi$
$812$	8.85130	−	0.609574i	0.310620	−	0.0213918i
$813$	−12.5521	−	21.9680i	−0.440221	−	0.770451i
$814$	9.40677	+	2.52054i	0.329707	+	0.0883448i
$815$	39.5251	−	22.8198i	1.38451	−	0.799344i
$816$	4.43356	−	1.16667i	0.155206	−	0.0408415i
$817$	−9.30457	−	34.7251i	−0.325526	−	1.21488i
$818$	28.7652			1.00575
$819$	−23.3782	+	16.5064i	−0.816900	+	0.576780i
$820$	23.4737			0.819736
$821$	10.9411	+	40.8328i	0.381848	+	1.42508i	0.843076	+	0.537794i	$0.180742\pi$
$821$	10.9411	+	40.8328i	0.381848	+	1.42508i	−0.461228	+	0.887281i	$0.652591\pi$
$822$	−16.0506	+	4.22363i	−0.559830	+	0.147316i
$823$	26.1427	−	15.0935i	0.911277	−	0.526126i	0.0304354	−	0.999537i	$-0.490311\pi$
$823$	26.1427	−	15.0935i	0.911277	−	0.526126i	0.880842	+	0.473411i	$0.156977\pi$
$824$	0.537183	+	0.143938i	0.0187136	+	0.00501431i
$825$	11.5887	+	20.2819i	0.403466	+	0.706125i
$826$	1.81009	+	2.68968i	0.0629812	+	0.0935861i
$827$	3.29206	+	3.29206i	0.114476	+	0.114476i	0.762024	−	0.647548i	$-0.224206\pi$
$827$	3.29206	+	3.29206i	0.114476	+	0.114476i	−0.647548	+	0.762024i	$0.724206\pi$
$828$	−6.11636	−	10.8169i	−0.212558	−	0.375915i
$829$			12.9882i			0.451100i	0.974232	+	0.225550i	$0.0724180\pi$
$829$			12.9882i			0.451100i	−0.974232	+	0.225550i	$0.927582\pi$
$830$	−20.0295	−	20.0295i	−0.695234	−	0.695234i
$831$	−23.9791	+	23.7648i	−0.831825	+	0.824391i
$832$	20.3846	+	10.9305i	0.706708	+	0.378948i
$833$	−26.8286	+	3.71288i	−0.929554	+	0.128644i
$834$	−17.0008	−	0.0763100i	−0.588689	−	0.00264240i
$835$	−6.37626	+	11.0440i	−0.220660	+	0.382194i
$836$	15.4781	+	26.8089i	0.535322	+	0.927205i
$837$	−0.128544	+	0.215878i	−0.00444313	+	0.00746185i
$838$	1.10521	+	1.10521i	0.0381788	+	0.0381788i
$839$	9.98206	−	2.67469i	0.344619	−	0.0923404i	−0.0823581	−	0.996603i	$-0.526245\pi$
$839$	9.98206	−	2.67469i	0.344619	−	0.0923404i	0.426977	+	0.904262i	$0.359578\pi$
$840$	7.35040	−	36.7266i	0.253613	−	1.26719i
$841$	−9.65688	+	16.7262i	−0.332996	+	0.576766i
$842$	10.8485	−	18.7901i	0.373863	−	0.647550i
$843$	32.1926	+	18.7796i	1.10877	+	0.646802i
$844$	−6.33607	−	3.65813i	−0.218096	−	0.125918i
$845$	11.4644	+	34.0696i	0.394389	+	1.17203i
$846$	18.5067	−	10.4645i	0.636273	−	0.359775i
$847$	32.8792	−	22.1270i	1.12974	−	0.760291i
$848$	5.46501	−	3.15523i	0.187669	−	0.108351i
$849$	7.20636	+	27.3856i	0.247322	+	0.939871i
$850$	−9.49807	+	2.54500i	−0.325781	+	0.0872928i
$851$	7.38679	+	1.97928i	0.253216	+	0.0678490i
$852$	−3.93197	−	2.29372i	−0.134707	−	0.0785815i
$853$	−28.1563	+	28.1563i	−0.964054	+	0.964054i	−0.999376	−	0.0353222i	$-0.988754\pi$
$853$	−28.1563	+	28.1563i	−0.964054	+	0.964054i	0.0353222	+	0.999376i	$0.488754\pi$
$854$	0.0676976	−	0.0777117i	0.00231656	−	0.00265924i
$855$	40.2829	+	23.7420i	1.37764	+	0.811960i
$856$	−6.34938	−	23.6962i	−0.217017	−	0.809920i
$857$	25.9968	−	45.0279i	0.888035	−	1.53812i	0.0458409	−	0.998949i	$-0.485403\pi$
$857$	25.9968	−	45.0279i	0.888035	−	1.53812i	0.842195	−	0.539174i	$-0.181263\pi$
$858$	22.1921	+	21.0287i	0.757624	+	0.717906i
$859$	6.67217	+	11.5565i	0.227652	+	0.394304i	0.957112	−	0.289719i	$-0.0935619\pi$
$859$	6.67217	+	11.5565i	0.227652	+	0.394304i	−0.729460	+	0.684023i	$0.760229\pi$
$860$	−18.3545	−	4.91806i	−0.625882	−	0.167705i
$861$	−20.0234	−	30.0438i	−0.682396	−	1.02389i
$862$	3.56529	+	2.05842i	0.121434	+	0.0701101i
$863$	−14.5527	−	3.89937i	−0.495378	−	0.132736i	0.00247584	−	0.999997i	$-0.499212\pi$
$863$	−14.5527	−	3.89937i	−0.495378	−	0.132736i	−0.497854	+	0.867261i	$0.665879\pi$
$864$	−23.8277	+	13.3324i	−0.810633	+	0.453576i
$865$	11.8375	+	3.17185i	0.402488	+	0.107846i
$866$	0.785683	−	2.93221i	0.0266986	−	0.0996405i
$867$	−0.925008	+	3.39122i	−0.0314149	+	0.115172i
$868$	−0.135282	−	0.0264441i	−0.00459177	−	0.000897572i
$869$	−6.74516	+	25.1733i	−0.228814	+	0.853945i
$870$	−10.0779	−	10.1688i	−0.341673	−	0.344754i
$871$	0.232272	−	0.0701231i	0.00787025	−	0.00237603i
$872$	4.40147	+	2.54119i	0.149053	+	0.0860556i
$873$	31.9760	−	31.4070i	1.08222	−	1.06297i
$874$	−10.4064	−	18.0245i	−0.352003	−	0.609687i
$875$	3.30388	−	16.9019i	0.111692	−	0.571388i
$876$	−22.1230	−	12.9055i	−0.747467	−	0.436036i
$877$	−2.14999	−	2.14999i	−0.0726001	−	0.0726001i	0.669874	−	0.742474i	$-0.266348\pi$
$877$	−2.14999	−	2.14999i	−0.0726001	−	0.0726001i	−0.742474	+	0.669874i	$0.766348\pi$
$878$	−0.745374	+	2.78177i	−0.0251552	+	0.0938803i
$879$	18.8461	−	10.7683i	0.635662	−	0.363205i
$880$	−9.64142			−0.325012
$881$	−13.9058	−	24.0855i	−0.468497	−	0.811461i	0.530855	−	0.847463i	$-0.321871\pi$
$881$	−13.9058	−	24.0855i	−0.468497	−	0.811461i	−0.999352	+	0.0360021i	$0.988538\pi$
$882$	−18.6529	+	7.67480i	−0.628075	+	0.258424i
$883$			1.46181i			0.0491939i	0.999697	+	0.0245969i	$0.00783024\pi$
$883$			1.46181i			0.0491939i	−0.999697	+	0.0245969i	$0.992170\pi$
$884$	12.7752	−	7.92066i	0.429676	−	0.266401i
$885$	−1.60792	+	5.89488i	−0.0540497	+	0.198154i
$886$	1.56642	+	1.56642i	0.0526250	+	0.0526250i
$887$	−16.4400	−	9.49163i	−0.552001	−	0.318698i	0.197928	−	0.980217i	$-0.436579\pi$
$887$	−16.4400	−	9.49163i	−0.552001	−	0.318698i	−0.749929	+	0.661519i	$0.769912\pi$
$888$	2.68007	−	9.82552i	0.0899372	−	0.329723i
$889$	−23.4341	−	11.4601i	−0.785953	−	0.384360i
$890$	−8.98115	−	33.5181i	−0.301049	−	1.12353i
$891$	−44.5158	+	11.0753i	−1.49134	+	0.371038i
$892$	2.81534	+	10.5070i	0.0942644	+	0.351800i
$893$	−36.0178	+	20.7949i	−1.20529	+	0.695875i
$894$	−33.0433	−	9.01309i	−1.10513	−	0.301443i
$895$	70.1652	+	18.8007i	2.34536	+	0.628438i
$896$	−8.67336	−	7.55570i	−0.289757	−	0.252418i
$897$	17.4266	+	16.5130i	0.581857	+	0.551354i
$898$	12.2735	+	21.2583i	0.409572	+	0.709399i
$899$	−0.106411	+	0.106411i	−0.00354902	+	0.00354902i
$900$	7.44512	−	4.20979i	0.248171	−	0.140326i
$901$		−	35.6917i		−	1.18906i
$902$	−27.2737	+	27.2737i	−0.908113	+	0.908113i
$903$	9.36206	+	27.6869i	0.311550	+	0.921363i
$904$	3.55535	+	13.2687i	0.118249	+	0.441312i
$905$	4.41656	−	16.4828i	0.146812	−	0.547908i
$906$	−0.969275	+	0.960613i	−0.0322020	+	0.0319142i
$907$			3.51688i			0.116776i	0.998294	+	0.0583881i	$0.0185961\pi$
$907$			3.51688i			0.116776i	−0.998294	+	0.0583881i	$0.981404\pi$
$908$	−6.38944	+	1.71204i	−0.212041	+	0.0568162i
$909$	23.5357	−	13.3081i	0.780631	−	0.441402i
$910$	2.53332	+	25.2083i	0.0839788	+	0.835647i
$911$			13.8849i			0.460028i	0.973187	+	0.230014i	$0.0738773\pi$
$911$			13.8849i			0.460028i	−0.973187	+	0.230014i	$0.926123\pi$
$912$	−5.79895	+	3.31341i	−0.192022	+	0.109718i
$913$	−54.3618			−1.79911
$914$	7.95324	+	13.7754i	0.263070	+	0.455650i
$915$	0.194240		0.000871870i	0.00642139		2.88231e-5i
$916$	−17.9238	+	4.80266i	−0.592218	+	0.158684i
$917$	2.58537	+	1.26434i	0.0853763	+	0.0417522i
$918$	0.260020	−	19.3086i	0.00858194	−	0.637277i
$919$	−1.57617			−0.0519930			−0.0259965	−	0.999662i	$-0.508276\pi$
$919$	−1.57617			−0.0519930			−0.0259965	+	0.999662i	$0.508276\pi$
$920$	−31.4207			−1.03591
$921$	28.9773	−	49.6738i	0.954833	−	1.63681i
$922$	25.8446	−	14.9214i	0.851148	−	0.491411i
$923$	8.56216	+	2.00838i	0.281827	+	0.0661068i
$924$	−13.9574	−	20.9420i	−0.459163	−	0.688943i
$925$	−1.36231	+	5.08420i	−0.0447924	+	0.167168i
$926$	4.95713	+	2.86200i	0.162901	+	0.0940512i
$927$	0.286596	−	0.486264i	0.00941304	−	0.0159710i
$928$	−15.7967	+	4.23271i	−0.518552	+	0.138945i
$929$	2.85543	−	2.85543i	0.0936837	−	0.0936837i	−0.658712	−	0.752395i	$-0.728898\pi$
$929$	2.85543	−	2.85543i	0.0936837	−	0.0936837i	0.752395	+	0.658712i	$0.228898\pi$
$930$	0.110349	+	0.193126i	0.00361847	+	0.00633286i
$931$	36.3528	−	15.3405i	1.19142	−	0.502766i
$932$	6.79759	+	3.92459i	0.222662	+	0.128554i
$933$	−11.8472	+	43.4337i	−0.387861	+	1.42196i
$934$	−17.8832	+	17.8832i	−0.585155	+	0.585155i
$935$	−27.2658	+	47.2258i	−0.891687	+	1.54445i
$936$	22.0954	−	23.1092i	0.722210	−	0.755346i
$937$	28.2167			0.921798			0.460899	−	0.887453i	$-0.347527\pi$
$937$	28.2167			0.921798			0.460899	+	0.887453i	$0.347527\pi$
$938$	0.170599	−	0.0117489i	0.00557026	−	0.000383614i
$939$	−9.03743	−	9.11893i	−0.294925	−	0.297585i
$940$			21.9829i			0.717003i
$941$	0.356848	+	1.33178i	0.0116329	+	0.0434147i	0.971498	−	0.237046i	$-0.0761793\pi$
$941$	0.356848	+	1.33178i	0.0116329	+	0.0434147i	−0.959865	+	0.280461i	$0.909513\pi$
$942$	−7.90649	−	0.0354892i	−0.257607	−	0.00115630i
$943$	−21.4170	+	21.4170i	−0.697433	+	0.697433i
$944$	−0.617132	−	0.617132i	−0.0200859	−	0.0200859i
$945$	−33.9215	−	17.1587i	−1.10347	−	0.558172i
$946$	27.0400	−	15.6115i	0.879145	−	0.507575i
$947$	−1.03340	+	0.276898i	−0.0335809	+	0.00899797i	−0.275570	−	0.961281i	$-0.588867\pi$
$947$	−1.03340	+	0.276898i	−0.0335809	+	0.00899797i	0.241989	+	0.970279i	$0.422200\pi$
$948$	9.20595	+	2.51107i	0.298995	+	0.0815557i
$949$	48.1745	+	11.3001i	1.56381	+	0.366815i
$950$	12.4059	−	7.16257i	0.402502	−	0.232385i
$951$	−46.5498	−	0.208944i	−1.50948	−	0.00677548i
$952$	28.6206	−	9.82115i	0.927599	−	0.318305i
$953$	17.2272	−	29.8383i	0.558043	−	0.966558i	−0.439617	−	0.898185i	$-0.644886\pi$
$953$	17.2272	−	29.8383i	0.558043	−	0.966558i	0.997660	−	0.0683729i	$-0.0217808\pi$
$954$	−6.64871	−	25.7352i	−0.215260	−	0.833209i
$955$	3.78008	−	14.1074i	0.122320	−	0.456506i
$956$	−5.21488	+	19.4622i	−0.168661	+	0.629452i
$957$	−27.4756	−	0.123327i	−0.888160	−	0.00398661i
$958$	−2.27255	+	3.93617i	−0.0734226	+	0.127172i
$959$	−24.9665	+	8.56725i	−0.806210	+	0.276651i
$960$	−0.137909	+	30.7242i	−0.00445100	+	0.991620i
$961$	−26.8448	+	15.4988i	−0.865960	+	0.499962i
$962$	0.216276	+	6.88559i	0.00697302	+	0.222000i
$963$	−24.8975	−	0.223515i	−0.802311	−	0.00720267i
$964$	−27.3820	+	7.33699i	−0.881916	+	0.236309i
$965$	45.8121	−	26.4496i	1.47474	−	0.851443i
$966$	9.38397	+	14.0800i	0.301924	+	0.453017i
$967$	14.6640	+	14.6640i	0.471561	+	0.471561i	0.902420	−	0.430858i	$-0.141789\pi$
$967$	14.6640	+	14.6640i	0.471561	+	0.471561i	−0.430858	+	0.902420i	$0.641789\pi$
$968$	−31.3082	+	31.3082i	−1.00628	+	1.00628i
$969$	−0.169556	+	37.7748i	−0.00544693	+	1.21350i
$970$	−10.2696	−	38.3268i	−0.329738	−	1.23060i
$971$		−	23.3205i		−	0.748392i	−0.927350	−	0.374196i	$-0.877919\pi$
$971$		−	23.3205i		−	0.748392i	0.927350	−	0.374196i	$-0.122081\pi$
$972$	3.98200	+	16.3174i	0.127723	+	0.523380i
$973$	−26.9740	+	1.85765i	−0.864748	+	0.0595537i
$974$	21.8839			0.701205
$975$	−11.3656	+	11.9944i	−0.363992	+	0.384129i
$976$	−0.0138723	+	0.0240276i	−0.000444042	+	0.000769103i
$977$	−8.57653	+	8.57653i	−0.274387	+	0.274387i	−0.830864	−	0.556476i	$-0.812153\pi$
$977$	−8.57653	+	8.57653i	−0.274387	+	0.274387i	0.556476	+	0.830864i	$0.312153\pi$
$978$	26.4906	+	7.22574i	0.847077	+	0.231054i
$979$	−57.6733	−	33.2977i	−1.84325	−	1.06420i
$980$	2.58527	−	20.6947i	0.0825833	−	0.661069i
$981$	3.68005	−	3.61457i	0.117495	−	0.115404i
$982$	−23.6832	+	23.6832i	−0.755762	+	0.755762i
$983$	8.17480	−	2.19043i	0.260735	−	0.0698639i	−0.126083	−	0.992020i	$-0.540241\pi$
$983$	8.17480	−	2.19043i	0.260735	−	0.0698639i	0.386819	+	0.922156i	$0.373574\pi$
$984$	28.3941	+	28.6501i	0.905169	+	0.913332i
$985$	−41.5117	−	23.9668i	−1.32267	−	0.763645i
$986$	2.99351	−	11.1719i	0.0953329	−	0.355787i
$987$	28.1357	−	18.7517i	0.895570	−	0.596875i
$988$	−14.9905	+	15.9628i	−0.476913	+	0.507844i
$989$	21.2335	−	12.2592i	0.675185	−	0.389818i
$990$	−10.8625	+	39.1309i	−0.345233	+	1.24366i
$991$	37.0774			1.17780			0.588901	−	0.808205i	$-0.299561\pi$
$991$	37.0774			1.17780			0.588901	+	0.808205i	$0.299561\pi$
$992$	0.254080			0.00806705
$993$	10.3691	+	6.04885i	0.329055	+	0.191954i
$994$	5.56822	+	2.72307i	0.176613	+	0.0863705i
$995$	−64.7213	+	17.3420i	−2.05180	+	0.549779i
$996$	−0.0893423	+	19.9042i	−0.00283092	+	0.630689i
$997$	7.04730	+	12.2063i	0.223190	+	0.386577i	0.955775	−	0.294099i	$-0.0950195\pi$
$997$	7.04730	+	12.2063i	0.223190	+	0.386577i	−0.732585	+	0.680676i	$0.761686\pi$
$998$	35.0649			1.10996
$999$	−8.88134	−	5.28836i	−0.280993	−	0.167316i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	273.2.bw.b.11.20	yes	128
3.2	odd	2	inner	273.2.bw.b.11.13	yes	128
7.2	even	3		273.2.bv.b.128.20	yes	128
13.6	odd	12		273.2.bv.b.32.13	✓	128
21.2	odd	6		273.2.bv.b.128.13	yes	128
39.32	even	12		273.2.bv.b.32.20	yes	128
91.58	odd	12	inner	273.2.bw.b.149.13	yes	128
273.149	even	12	inner	273.2.bw.b.149.20	yes	128

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
273.2.bv.b.32.13	✓	128	13.6	odd	12
273.2.bv.b.32.20	yes	128	39.32	even	12
273.2.bv.b.128.13	yes	128	21.2	odd	6
273.2.bv.b.128.20	yes	128	7.2	even	3
273.2.bw.b.11.13	yes	128	3.2	odd	2	inner
273.2.bw.b.11.20	yes	128	1.1	even	1	trivial
273.2.bw.b.149.13	yes	128	91.58	odd	12	inner
273.2.bw.b.149.20	yes	128	273.149	even	12	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 273 = 3 \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	273.bw (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.248591 + 0.927753i) q^{2} +(-1.67503 + 0.440774i) q^{3} +(0.933123 - 0.538739i) q^{4} +(-2.67091 - 0.715669i) q^{5} +(-0.825325 - 1.44444i) q^{6} +(-1.47717 - 2.19498i) q^{7} +(2.09011 + 2.09011i) q^{8} +(2.61144 - 1.47662i) q^{9} +O(q^{10})\)	\(q+(0.248591 + 0.927753i) q^{2} +(-1.67503 + 0.440774i) q^{3} +(0.933123 - 0.538739i) q^{4} +(-2.67091 - 0.715669i) q^{5} +(-0.825325 - 1.44444i) q^{6} +(-1.47717 - 2.19498i) q^{7} +(2.09011 + 2.09011i) q^{8} +(2.61144 - 1.47662i) q^{9} -2.65586i q^{10} +(-3.60411 - 3.60411i) q^{11} +(-1.32554 + 1.31370i) q^{12} +(1.70386 - 3.17756i) q^{13} +(1.66919 - 1.91610i) q^{14} +(4.78930 + 0.0214973i) q^{15} +(-0.342044 + 0.592437i) q^{16} +(1.93459 + 3.35081i) q^{17} +(2.01911 + 2.05570i) q^{18} +(-3.98576 - 3.98576i) q^{19} +(-2.87785 + 0.771117i) q^{20} +(3.44180 + 3.02556i) q^{21} +(2.44778 - 4.23967i) q^{22} +(1.92215 - 3.32926i) q^{23} +(-4.42225 - 2.57972i) q^{24} +(2.29147 + 1.32298i) q^{25} +(3.37155 + 0.790848i) q^{26} +(-3.72338 + 3.62443i) q^{27} +(-2.56091 - 1.25238i) q^{28} +(-2.69531 + 1.55614i) q^{29} +(1.17063 + 4.44863i) q^{30} +(0.0467057 - 0.0125147i) q^{31} +(5.07561 + 1.36001i) q^{32} +(7.62559 + 4.44839i) q^{33} +(-2.62780 + 2.62780i) q^{34} +(2.37452 + 6.91978i) q^{35} +(1.64128 - 2.78475i) q^{36} +(0.514862 + 1.92149i) q^{37} +(2.70698 - 4.68863i) q^{38} +(-1.45343 + 6.07351i) q^{39} +(-4.08667 - 7.07832i) q^{40} +(-7.61027 - 2.03917i) q^{41} +(-1.95137 + 3.94526i) q^{42} +(5.52337 + 3.18892i) q^{43} +(-5.30475 - 1.42140i) q^{44} +(-8.03169 + 2.07499i) q^{45} +(3.56656 + 0.955656i) q^{46} +(1.90966 - 7.12696i) q^{47} +(0.311802 - 1.14311i) q^{48} +(-2.63592 + 6.48475i) q^{49} +(-0.657762 + 2.45480i) q^{50} +(-4.71744 - 4.75998i) q^{51} +(-0.121964 - 3.88299i) q^{52} +(-7.98876 - 4.61231i) q^{53} +(-4.28817 - 2.55337i) q^{54} +(7.04692 + 12.2056i) q^{55} +(1.50030 - 7.67520i) q^{56} +(8.43309 + 4.91945i) q^{57} +(-2.11374 - 2.11374i) q^{58} +(-0.330200 + 1.23232i) q^{59} +(4.48059 - 2.56012i) q^{60} +0.0405571 q^{61} +(0.0232212 + 0.0402203i) q^{62} +(-7.09870 - 3.55085i) q^{63} +6.41517i q^{64} +(-6.82494 + 7.26758i) q^{65} +(-2.23136 + 8.18049i) q^{66} +(0.0475830 + 0.0475830i) q^{67} +(3.61042 + 2.08448i) q^{68} +(-1.75220 + 6.42383i) q^{69} +(-5.82957 + 3.92316i) q^{70} +(0.631304 + 2.35606i) q^{71} +(8.54447 + 2.37190i) q^{72} +(3.55200 + 13.2562i) q^{73} +(-1.65468 + 0.955330i) q^{74} +(-4.42142 - 1.20601i) q^{75} +(-5.86649 - 1.57192i) q^{76} +(-2.58707 + 13.2349i) q^{77} +(-5.99603 + 0.161398i) q^{78} +(-2.55654 - 4.42806i) q^{79} +(1.33756 - 1.33756i) q^{80} +(4.63921 - 7.71218i) q^{81} -7.56737i q^{82} +(7.54163 - 7.54163i) q^{83} +(4.84161 + 0.968990i) q^{84} +(-2.76905 - 10.3342i) q^{85} +(-1.58547 + 5.91706i) q^{86} +(3.82881 - 3.79459i) q^{87} -15.0660i q^{88} +(12.6204 - 3.38164i) q^{89} +(-3.92168 - 6.93560i) q^{90} +(-9.49158 + 0.953862i) q^{91} -4.14214i q^{92} +(-0.0727171 + 0.0415492i) q^{93} +7.08678 q^{94} +(7.79314 + 13.4981i) q^{95} +(-9.10125 - 0.0408520i) q^{96} +(14.4311 - 3.86679i) q^{97} +(-6.67151 - 0.833431i) q^{98} +(-14.7338 - 4.09002i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 128 q - 4 q^{3} - 12 q^{4} - 4 q^{6} - 16 q^{7} - 16 q^{9}+O(q^{10}) \) 128 * q - 4 * q^3 - 12 * q^4 - 4 * q^6 - 16 * q^7 - 16 * q^9	\( 128 q - 4 q^{3} - 12 q^{4} - 4 q^{6} - 16 q^{7} - 16 q^{9} - 48 q^{12} - 16 q^{13} - 6 q^{15} + 32 q^{16} + 22 q^{18} - 16 q^{19} - 18 q^{21} - 8 q^{22} - 4 q^{24} - 40 q^{27} - 76 q^{28} - 4 q^{31} + 50 q^{33} - 48 q^{34} - 60 q^{36} + 28 q^{37} + 40 q^{39} + 44 q^{40} + 44 q^{42} - 144 q^{43} + 58 q^{45} + 48 q^{46} - 64 q^{48} + 24 q^{49} + 36 q^{51} - 22 q^{54} - 16 q^{55} + 40 q^{57} - 28 q^{58} - 4 q^{60} - 40 q^{61} + 20 q^{63} - 34 q^{66} + 96 q^{67} - 54 q^{69} + 64 q^{70} - 98 q^{72} + 48 q^{73} - 12 q^{75} + 144 q^{76} + 82 q^{78} - 24 q^{79} - 48 q^{81} + 4 q^{84} + 56 q^{85} - 2 q^{87} - 24 q^{91} + 10 q^{93} + 32 q^{94} - 54 q^{96} + 52 q^{97} - 10 q^{99}+O(q^{100}) \) 128 * q - 4 * q^3 - 12 * q^4 - 4 * q^6 - 16 * q^7 - 16 * q^9 - 48 * q^12 - 16 * q^13 - 6 * q^15 + 32 * q^16 + 22 * q^18 - 16 * q^19 - 18 * q^21 - 8 * q^22 - 4 * q^24 - 40 * q^27 - 76 * q^28 - 4 * q^31 + 50 * q^33 - 48 * q^34 - 60 * q^36 + 28 * q^37 + 40 * q^39 + 44 * q^40 + 44 * q^42 - 144 * q^43 + 58 * q^45 + 48 * q^46 - 64 * q^48 + 24 * q^49 + 36 * q^51 - 22 * q^54 - 16 * q^55 + 40 * q^57 - 28 * q^58 - 4 * q^60 - 40 * q^61 + 20 * q^63 - 34 * q^66 + 96 * q^67 - 54 * q^69 + 64 * q^70 - 98 * q^72 + 48 * q^73 - 12 * q^75 + 144 * q^76 + 82 * q^78 - 24 * q^79 - 48 * q^81 + 4 * q^84 + 56 * q^85 - 2 * q^87 - 24 * q^91 + 10 * q^93 + 32 * q^94 - 54 * q^96 + 52 * q^97 - 10 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more