LMFDB - Embedded newform 841.2.e.h.236.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [841,2,Mod(63,841)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(841, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([11]))

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

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

chi := DirichletCharacter("841.63");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 841 = 29^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	841.e (of order $14$, degree $6$, not 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:	$6.71541880999$
Analytic rank:	$0$
Dimension:	$12$
Relative dimension:	$2$ over $\Q(\zeta_{14})$
Coefficient field:	12.0.7877952219361.1
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{12} - 3x^{11} + 13x^{9} - 18x^{8} - 14x^{7} + 57x^{6} - 28x^{5} - 72x^{4} + 104x^{3} - 96x + 64 $ x^12 - 3x^11 + 13x^9 - 18x^8 - 14x^7 + 57x^6 - 28x^5 - 72x^4 + 104x^3 - 96*x + 64
Coefficient ring:	$\Z[a_1, \ldots, a_{4}]$
Coefficient ring index:	$ 1 $
Twist minimal:	no (minimal twist has level 29)
Sato-Tate group:	$\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label			236.2
Root			$-1.41140 - 0.0891373i$ of defining polynomial
Character	$\chi$	$=$	841.236
Dual form			841.2.e.h.196.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.51043 + 0.344746i) q^{2} +(1.27330 + 2.64404i) q^{3} +(0.360619 + 0.173665i) q^{4} +(-0.101097 + 0.442937i) q^{5} +(1.01172 + 4.43261i) q^{6} +(-3.07524 + 1.48096i) q^{7} +(-1.93773 - 1.54528i) q^{8} +(-3.49918 + 4.38784i) q^{9} +O(q^{10})$	\(q+(1.51043 + 0.344746i) q^{2} +(1.27330 + 2.64404i) q^{3} +(0.360619 + 0.173665i) q^{4} +(-0.101097 + 0.442937i) q^{5} +(1.01172 + 4.43261i) q^{6} +(-3.07524 + 1.48096i) q^{7} +(-1.93773 - 1.54528i) q^{8} +(-3.49918 + 4.38784i) q^{9} +(-0.305402 + 0.634173i) q^{10} +(1.14517 - 0.913243i) q^{11} +1.17462i q^{12} +(1.92441 + 2.41314i) q^{13} +(-5.15550 + 1.17671i) q^{14} +(-1.29987 + 0.296687i) q^{15} +(-2.89319 - 3.62794i) q^{16} +2.82403i q^{17} +(-6.79798 + 5.42120i) q^{18} +(-0.994542 + 2.06519i) q^{19} +(-0.113380 + 0.142174i) q^{20} +(-7.83143 - 6.24536i) q^{21} +(2.04454 - 0.984599i) q^{22} +(-0.118847 - 0.520702i) q^{23} +(1.61848 - 7.09104i) q^{24} +(4.31887 + 2.07986i) q^{25} +(2.07477 + 4.30831i) q^{26} +(-7.47389 - 1.70587i) q^{27} -1.36618 q^{28} -2.06565 q^{30} +(-3.49661 - 0.798078i) q^{31} +(-0.968530 - 2.01117i) q^{32} +(3.87280 + 1.86504i) q^{33} +(-0.973573 + 4.26550i) q^{34} +(-0.345072 - 1.51186i) q^{35} +(-2.02389 + 0.974653i) q^{36} +(5.56792 + 4.44027i) q^{37} +(-2.21415 + 2.77646i) q^{38} +(-3.93007 + 8.16088i) q^{39} +(0.880363 - 0.702066i) q^{40} -4.43991i q^{41} +(-9.67578 - 12.1330i) q^{42} +(4.02174 - 0.917936i) q^{43} +(0.571569 - 0.130457i) q^{44} +(-1.58978 - 1.99352i) q^{45} -0.827457i q^{46} +(-0.140288 + 0.111876i) q^{47} +(5.90852 - 12.2692i) q^{48} +(2.89944 - 3.63579i) q^{49} +(5.80634 + 4.63040i) q^{50} +(-7.46684 + 3.59584i) q^{51} +(0.274902 + 1.20443i) q^{52} +(-0.686606 + 3.00822i) q^{53} +(-10.7007 - 5.15320i) q^{54} +(0.288735 + 0.599565i) q^{55} +(8.24747 + 1.88243i) q^{56} -6.72679 q^{57} +13.2495 q^{59} +(-0.520283 - 0.118751i) q^{60} +(-0.819181 - 1.70105i) q^{61} +(-5.00626 - 2.41089i) q^{62} +(4.26263 - 18.6758i) q^{63} +(1.29558 + 5.67629i) q^{64} +(-1.26342 + 0.608431i) q^{65} +(5.20664 + 4.15216i) q^{66} +(7.58858 - 9.51578i) q^{67} +(-0.490435 + 1.01840i) q^{68} +(1.22543 - 0.977247i) q^{69} -2.40252i q^{70} +(-2.81470 - 3.52952i) q^{71} +(13.5609 - 3.09519i) q^{72} +(8.06850 - 1.84158i) q^{73} +(6.87920 + 8.62624i) q^{74} +14.0676i q^{75} +(-0.717302 + 0.572029i) q^{76} +(-2.16920 + 4.50439i) q^{77} +(-8.74954 + 10.9716i) q^{78} +(10.8173 + 8.62652i) q^{79} +(1.89944 - 0.914723i) q^{80} +(-1.25961 - 5.51873i) q^{81} +(1.53064 - 6.70619i) q^{82} +(2.21027 + 1.06441i) q^{83} +(-1.73956 - 3.61224i) q^{84} +(-1.25087 - 0.285502i) q^{85} +6.39102 q^{86} -3.63025 q^{88} +(-13.1535 - 3.00221i) q^{89} +(-1.71399 - 3.55914i) q^{90} +(-9.49178 - 4.57100i) q^{91} +(0.0475693 - 0.208415i) q^{92} +(-2.34209 - 10.2614i) q^{93} +(-0.250465 + 0.120618i) q^{94} +(-0.814202 - 0.649305i) q^{95} +(4.08439 - 5.12166i) q^{96} +(-2.04265 + 4.24161i) q^{97} +(5.63284 - 4.49204i) q^{98} +8.22043i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 12 q + 7 q^{2} - q^{4} + 6 q^{5} + 11 q^{6} - 4 q^{7} - 7 q^{8} - 10 q^{9}+O(q^{10}) $ 12 * q + 7 * q^2 - q^4 + 6 * q^5 + 11 * q^6 - 4 * q^7 - 7 * q^8 - 10 * q^9	$ 12 q + 7 q^{2} - q^{4} + 6 q^{5} + 11 q^{6} - 4 q^{7} - 7 q^{8} - 10 q^{9} - 14 q^{10} + 14 q^{11} + 2 q^{13} - 7 q^{14} - 14 q^{15} - 33 q^{16} + 14 q^{19} - 32 q^{20} - 42 q^{21} + 10 q^{22} + 2 q^{23} - 11 q^{24} + 6 q^{25} + 14 q^{26} - 21 q^{27} + 12 q^{28} + 2 q^{30} - 21 q^{32} + 18 q^{33} + 36 q^{34} + 12 q^{35} + 16 q^{36} - 14 q^{37} - 21 q^{38} - 14 q^{39} + 7 q^{40} - 27 q^{42} - 14 q^{43} - 49 q^{44} - 5 q^{45} + 35 q^{48} + 6 q^{49} - 7 q^{50} - 22 q^{51} - 6 q^{52} - 10 q^{53} + 11 q^{54} - 35 q^{55} + 21 q^{56} - 14 q^{57} + 44 q^{59} + 28 q^{60} - 28 q^{61} - 33 q^{62} - 6 q^{63} - 19 q^{64} - 27 q^{65} + 63 q^{66} + 26 q^{67} + 56 q^{68} - 7 q^{69} + 28 q^{71} + 63 q^{72} + 28 q^{73} - 7 q^{74} - 35 q^{76} - 28 q^{77} - 11 q^{78} + 14 q^{79} - 6 q^{80} + 22 q^{81} - 13 q^{82} - 16 q^{83} + 7 q^{84} + 21 q^{85} - 44 q^{86} - 66 q^{88} - 70 q^{89} + 42 q^{90} + 4 q^{91} + q^{92} - 2 q^{93} - 18 q^{94} - 7 q^{95} - 5 q^{96} - 56 q^{97} + 42 q^{98}+O(q^{100}) $ 12 * q + 7 * q^2 - q^4 + 6 * q^5 + 11 * q^6 - 4 * q^7 - 7 * q^8 - 10 * q^9 - 14 * q^10 + 14 * q^11 + 2 * q^13 - 7 * q^14 - 14 * q^15 - 33 * q^16 + 14 * q^19 - 32 * q^20 - 42 * q^21 + 10 * q^22 + 2 * q^23 - 11 * q^24 + 6 * q^25 + 14 * q^26 - 21 * q^27 + 12 * q^28 + 2 * q^30 - 21 * q^32 + 18 * q^33 + 36 * q^34 + 12 * q^35 + 16 * q^36 - 14 * q^37 - 21 * q^38 - 14 * q^39 + 7 * q^40 - 27 * q^42 - 14 * q^43 - 49 * q^44 - 5 * q^45 + 35 * q^48 + 6 * q^49 - 7 * q^50 - 22 * q^51 - 6 * q^52 - 10 * q^53 + 11 * q^54 - 35 * q^55 + 21 * q^56 - 14 * q^57 + 44 * q^59 + 28 * q^60 - 28 * q^61 - 33 * q^62 - 6 * q^63 - 19 * q^64 - 27 * q^65 + 63 * q^66 + 26 * q^67 + 56 * q^68 - 7 * q^69 + 28 * q^71 + 63 * q^72 + 28 * q^73 - 7 * q^74 - 35 * q^76 - 28 * q^77 - 11 * q^78 + 14 * q^79 - 6 * q^80 + 22 * q^81 - 13 * q^82 - 16 * q^83 + 7 * q^84 + 21 * q^85 - 44 * q^86 - 66 * q^88 - 70 * q^89 + 42 * q^90 + 4 * q^91 + q^92 - 2 * q^93 - 18 * q^94 - 7 * q^95 - 5 * q^96 - 56 * q^97 + 42 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/841\mathbb{Z}\right)^\times$.

$n$	$2$
$\chi(n)$	$e\left(\frac{1}{14}\right)$

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 $

$2$	1.51043	+	0.344746i	1.06804	+	0.243773i	0.720189	−	0.693778i	$-0.244055\pi$
$2$	1.51043	+	0.344746i	1.06804	+	0.243773i	0.347849	+	0.937551i	$0.386912\pi$
$3$	1.27330	+	2.64404i	0.735142	+	1.52654i	0.846283	+	0.532733i	$0.178835\pi$
$3$	1.27330	+	2.64404i	0.735142	+	1.52654i	−0.111141	+	0.993805i	$0.535451\pi$
$4$	0.360619	+	0.173665i	0.180310	+	0.0868325i
$5$	−0.101097	+	0.442937i	−0.0452122	+	0.198087i	−0.992490	−	0.122326i	$-0.960965\pi$
$5$	−0.101097	+	0.442937i	−0.0452122	+	0.198087i	0.947278	+	0.320413i	$0.103822\pi$
$6$	1.01172	+	4.43261i	0.413031	+	1.80961i
$7$	−3.07524	+	1.48096i	−1.16233	+	0.559750i	−0.912716	−	0.408595i	$-0.866019\pi$
$7$	−3.07524	+	1.48096i	−1.16233	+	0.559750i	−0.249616	+	0.968345i	$0.580304\pi$
$8$	−1.93773	−	1.54528i	−0.685089	−	0.546341i
$9$	−3.49918	+	4.38784i	−1.16639	+	1.46261i
$10$	−0.305402	+	0.634173i	−0.0965765	+	0.200543i
$11$	1.14517	−	0.913243i	0.345282	−	0.275353i	−0.435458	−	0.900209i	$-0.643414\pi$
$11$	1.14517	−	0.913243i	0.345282	−	0.275353i	0.780740	+	0.624856i	$0.214842\pi$
$12$			1.17462i			0.339084i
$13$	1.92441	+	2.41314i	0.533736	+	0.669283i	0.973462	−	0.228848i	$-0.0734960\pi$
$13$	1.92441	+	2.41314i	0.533736	+	0.669283i	−0.439726	+	0.898132i	$0.644925\pi$
$14$	−5.15550	+	1.17671i	−1.37787	+	0.314489i
$15$	−1.29987	+	0.296687i	−0.335625	+	0.0766043i
$16$	−2.89319	−	3.62794i	−0.723296	−	0.906985i
$17$			2.82403i			0.684927i	0.939531	+	0.342463i	$0.111261\pi$
$17$			2.82403i			0.684927i	−0.939531	+	0.342463i	$0.888739\pi$
$18$	−6.79798	+	5.42120i	−1.60230	+	1.27779i
$19$	−0.994542	+	2.06519i	−0.228164	+	0.473786i	−0.983350	−	0.181724i	$-0.941832\pi$
$19$	−0.994542	+	2.06519i	−0.228164	+	0.473786i	0.755186	+	0.655511i	$0.227547\pi$
$20$	−0.113380	+	0.142174i	−0.0253526	+	0.0317912i
$21$	−7.83143	−	6.24536i	−1.70896	−	1.36285i
$22$	2.04454	−	0.984599i	0.435897	−	0.209917i
$23$	−0.118847	−	0.520702i	−0.0247813	−	0.108574i	0.961025	−	0.276463i	$-0.0891622\pi$
$23$	−0.118847	−	0.520702i	−0.0247813	−	0.108574i	−0.985806	+	0.167889i	$0.946305\pi$
$24$	1.61848	−	7.09104i	0.330372	−	1.44745i
$25$	4.31887	+	2.07986i	0.863774	+	0.415972i
$26$	2.07477	+	4.30831i	0.406897	+	0.844930i
$27$	−7.47389	−	1.70587i	−1.43835	−	0.328294i
$28$	−1.36618			−0.258184
$29$		0			0
$29$		0			0
$30$	−2.06565			−0.377134
$31$	−3.49661	−	0.798078i	−0.628009	−	0.143339i	−0.103341	−	0.994646i	$-0.532953\pi$
$31$	−3.49661	−	0.798078i	−0.628009	−	0.143339i	−0.524668	+	0.851307i	$0.675811\pi$
$32$	−0.968530	−	2.01117i	−0.171213	−	0.355528i
$33$	3.87280	+	1.86504i	0.674168	+	0.324662i
$34$	−0.973573	+	4.26550i	−0.166966	+	0.731527i
$35$	−0.345072	−	1.51186i	−0.0583278	−	0.255551i
$36$	−2.02389	+	0.974653i	−0.337315	+	0.162442i
$37$	5.56792	+	4.44027i	0.915360	+	0.729975i	0.963173	−	0.268881i	$-0.0866538\pi$
$37$	5.56792	+	4.44027i	0.915360	+	0.729975i	−0.0478133	+	0.998856i	$0.515225\pi$
$38$	−2.21415	+	2.77646i	−0.359183	+	0.450402i
$39$	−3.93007	+	8.16088i	−0.629315	+	1.30679i
$40$	0.880363	−	0.702066i	0.139198	−	0.111006i
$41$		−	4.43991i		−	0.693398i	−0.937977	−	0.346699i	$-0.887303\pi$
$41$		−	4.43991i		−	0.693398i	0.937977	−	0.346699i	$-0.112697\pi$
$42$	−9.67578	−	12.1330i	−1.49301	−	1.87217i
$43$	4.02174	−	0.917936i	0.613310	−	0.139984i	0.0954281	−	0.995436i	$-0.469578\pi$
$43$	4.02174	−	0.917936i	0.613310	−	0.139984i	0.517881	+	0.855452i	$0.326721\pi$
$44$	0.571569	−	0.130457i	0.0861673	−	0.0196671i
$45$	−1.58978	−	1.99352i	−0.236990	−	0.297176i
$46$		−	0.827457i		−	0.122002i
$47$	−0.140288	+	0.111876i	−0.0204632	+	0.0163188i	−0.633668	−	0.773605i	$-0.718451\pi$
$47$	−0.140288	+	0.111876i	−0.0204632	+	0.0163188i	0.613205	+	0.789924i	$0.289880\pi$
$48$	5.90852	−	12.2692i	0.852821	−	1.77090i
$49$	2.89944	−	3.63579i	0.414206	−	0.519398i
$50$	5.80634	+	4.63040i	0.821141	+	0.654838i
$51$	−7.46684	+	3.59584i	−1.04557	+	0.503519i
$52$	0.274902	+	1.20443i	0.0381221	+	0.167024i
$53$	−0.686606	+	3.00822i	−0.0943126	+	0.413211i	−0.999941	−	0.0108615i	$-0.996543\pi$
$53$	−0.686606	+	3.00822i	−0.0943126	+	0.413211i	0.905628	+	0.424072i	$0.139400\pi$
$54$	−10.7007	−	5.15320i	−1.45618	−	0.701261i
$55$	0.288735	+	0.599565i	0.0389330	+	0.0808453i
$56$	8.24747	+	1.88243i	1.10212	+	0.251551i
$57$	−6.72679			−0.890986
$58$		0			0
$59$	13.2495			1.72494			0.862468	−	0.506112i	$-0.168918\pi$
$59$	13.2495			1.72494			0.862468	+	0.506112i	$0.168918\pi$
$60$	−0.520283	−	0.118751i	−0.0671682	−	0.0153307i
$61$	−0.819181	−	1.70105i	−0.104885	−	0.217797i	0.841921	−	0.539601i	$-0.181425\pi$
$61$	−0.819181	−	1.70105i	−0.104885	−	0.217797i	−0.946806	+	0.321804i	$0.895711\pi$
$62$	−5.00626	−	2.41089i	−0.635795	−	0.306183i
$63$	4.26263	−	18.6758i	0.537041	−	2.35293i
$64$	1.29558	+	5.67629i	0.161947	+	0.709537i
$65$	−1.26342	+	0.608431i	−0.156708	+	0.0754666i
$66$	5.20664	+	4.15216i	0.640893	+	0.511095i
$67$	7.58858	−	9.51578i	0.927093	−	1.16254i	−0.0593178	−	0.998239i	$-0.518893\pi$
$67$	7.58858	−	9.51578i	0.927093	−	1.16254i	0.986411	−	0.164299i	$-0.0525360\pi$
$68$	−0.490435	+	1.01840i	−0.0594739	+	0.123499i
$69$	1.22543	−	0.977247i	0.147524	−	0.117647i
$70$		−	2.40252i		−	0.287156i
$71$	−2.81470	−	3.52952i	−0.334043	−	0.418877i	0.586235	−	0.810141i	$-0.300609\pi$
$71$	−2.81470	−	3.52952i	−0.334043	−	0.418877i	−0.920278	+	0.391264i	$0.872038\pi$
$72$	13.5609	−	3.09519i	1.59817	−	0.364772i
$73$	8.06850	−	1.84158i	0.944347	−	0.215541i	0.277491	−	0.960728i	$-0.410497\pi$
$73$	8.06850	−	1.84158i	0.944347	−	0.215541i	0.666855	+	0.745187i	$0.267640\pi$
$74$	6.87920	+	8.62624i	0.799691	+	1.00278i
$75$			14.0676i			1.62438i
$76$	−0.717302	+	0.572029i	−0.0822802	+	0.0656162i
$77$	−2.16920	+	4.50439i	−0.247203	+	0.513323i
$78$	−8.74954	+	10.9716i	−0.990690	+	1.24229i
$79$	10.8173	+	8.62652i	1.21704	+	0.970559i	0.999984	−	0.00559920i	$-0.00178229\pi$
$79$	10.8173	+	8.62652i	1.21704	+	0.970559i	0.217059	+	0.976159i	$0.430354\pi$
$80$	1.89944	−	0.914723i	0.212364	−	0.102269i
$81$	−1.25961	−	5.51873i	−0.139957	−	0.613192i
$82$	1.53064	−	6.70619i	0.169031	−	0.740574i
$83$	2.21027	+	1.06441i	0.242609	+	0.116834i	0.551238	−	0.834348i	$-0.314156\pi$
$83$	2.21027	+	1.06441i	0.242609	+	0.116834i	−0.308629	+	0.951183i	$0.599870\pi$
$84$	−1.73956	−	3.61224i	−0.189802	−	0.394128i
$85$	−1.25087	−	0.285502i	−0.135675	−	0.0309670i
$86$	6.39102			0.689162
$87$		0			0
$88$	−3.63025			−0.386986
$89$	−13.1535	−	3.00221i	−1.39427	−	0.318234i	−0.541581	−	0.840649i	$-0.682174\pi$
$89$	−13.1535	−	3.00221i	−1.39427	−	0.318234i	−0.852691	+	0.522415i	$0.825031\pi$
$90$	−1.71399	−	3.55914i	−0.180671	−	0.375167i
$91$	−9.49178	−	4.57100i	−0.995009	−	0.479171i
$92$	0.0475693	−	0.208415i	0.00495944	−	0.0217287i
$93$	−2.34209	−	10.2614i	−0.242864	−	1.06405i
$94$	−0.250465	+	0.120618i	−0.0258335	+	0.0124408i
$95$	−0.814202	−	0.649305i	−0.0835354	−	0.0666172i
$96$	4.08439	−	5.12166i	0.416861	−	0.522728i
$97$	−2.04265	+	4.24161i	−0.207400	+	0.430670i	−0.978557	−	0.205974i	$-0.933964\pi$
$97$	−2.04265	+	4.24161i	−0.207400	+	0.430670i	0.771158	+	0.636644i	$0.219678\pi$
$98$	5.63284	−	4.49204i	0.569002	−	0.453764i
$99$			8.22043i			0.826184i
$100$	1.19627	+	1.50007i	0.119627	+	0.150007i
$101$	−13.6714	+	3.12041i	−1.36036	+	0.310493i	−0.839597	−	0.543210i	$-0.817209\pi$
$101$	−13.6714	+	3.12041i	−1.36036	+	0.310493i	−0.520760	+	0.853703i	$0.674351\pi$
$102$	−12.5178	+	2.85711i	−1.23945	+	0.282896i
$103$	−5.36646	−	6.72932i	−0.528773	−	0.663060i	0.443673	−	0.896189i	$-0.353675\pi$
$103$	−5.36646	−	6.72932i	−0.528773	−	0.663060i	−0.972446	+	0.233129i	$0.925104\pi$
$104$		−	7.64976i		−	0.750120i
$105$	3.55804	−	2.83744i	0.347229	−	0.276906i
$106$	−2.07415	+	4.30701i	−0.201459	+	0.418334i
$107$	3.20244	−	4.01573i	0.309591	−	0.388215i	−0.602557	−	0.798076i	$-0.705851\pi$
$107$	3.20244	−	4.01573i	0.309591	−	0.388215i	0.912148	+	0.409861i	$0.134423\pi$
$108$	−2.39898	−	1.91312i	−0.230842	−	0.184090i
$109$	5.32120	−	2.56256i	0.509679	−	0.245448i	−0.161326	−	0.986901i	$-0.551577\pi$
$109$	5.32120	−	2.56256i	0.509679	−	0.245448i	0.671005	+	0.741453i	$0.265863\pi$
$110$	0.229417	+	1.00514i	0.0218741	+	0.0958366i
$111$	−4.65060	+	20.3756i	−0.441415	+	1.93397i
$112$	14.2701	+	6.87210i	1.34839	+	0.649353i
$113$	5.02988	+	10.4447i	0.473172	+	0.982551i	0.991830	+	0.127569i	$0.0407175\pi$
$113$	5.02988	+	10.4447i	0.473172	+	0.982551i	−0.518658	+	0.854982i	$0.673568\pi$
$114$	−10.1604	−	2.31904i	−0.951606	−	0.217198i
$115$	0.242653			0.0226275
$116$		0			0
$117$	−17.3223			−1.60145
$118$	20.0125	+	4.56771i	1.84230	+	0.420492i
$119$	−4.18226	−	8.68456i	−0.383388	−	0.796112i
$120$	2.97726	+	1.43377i	0.271785	+	0.130885i
$121$	−1.97033	+	8.63257i	−0.179121	+	0.784779i
$122$	−0.650888	−	2.85173i	−0.0589286	−	0.258183i
$123$	11.7393	−	5.65335i	1.05850	−	0.509746i
$124$	−1.12235	−	0.895041i	−0.100790	−	0.0803771i
$125$	−2.77422	+	3.47876i	−0.248134	+	0.311150i
$126$	12.8768	−	26.7390i	1.14716	−	2.38210i
$127$	−12.8736	+	10.2664i	−1.14235	+	0.910993i	−0.996924	−	0.0783759i	$-0.975027\pi$
$127$	−12.8736	+	10.2664i	−1.14235	+	0.910993i	−0.145426	+	0.989369i	$0.546455\pi$
$128$			13.4848i			1.19190i
$129$	7.54795	+	9.46484i	0.664560	+	0.833332i
$130$	−2.11806	+	0.483435i	−0.185767	+	0.0424000i
$131$	−10.6254	+	2.42517i	−0.928343	+	0.211888i	−0.659853	−	0.751394i	$-0.729382\pi$
$131$	−10.6254	+	2.42517i	−0.928343	+	0.211888i	−0.268490	+	0.963283i	$0.586525\pi$
$132$	1.07271	+	1.34514i	0.0933678	+	0.117079i
$133$		−	7.82382i		−	0.678412i
$134$	14.7426	−	11.7568i	1.27356	−	1.01563i
$135$	1.51118	−	3.13800i	0.130062	−	0.270076i
$136$	4.36392	−	5.47219i	0.374203	−	0.469236i
$137$	−8.94723	−	7.13518i	−0.764413	−	0.609599i	0.161702	−	0.986840i	$-0.448302\pi$
$137$	−8.94723	−	7.13518i	−0.764413	−	0.609599i	−0.926115	+	0.377240i	$0.876873\pi$
$138$	2.18783	−	1.05360i	0.186241	−	0.0896887i
$139$	−4.25015	−	18.6211i	−0.360493	−	1.57942i	−0.751946	−	0.659224i	$-0.770885\pi$
$139$	−4.25015	−	18.6211i	−0.360493	−	1.57942i	0.391454	−	0.920198i	$-0.371972\pi$
$140$	0.138118	−	0.605132i	0.0116731	−	0.0511430i
$141$	−0.474435	−	0.228476i	−0.0399547	−	0.0192411i
$142$	−3.03462	−	6.30145i	−0.254660	−	0.528806i
$143$	4.40756	+	1.00600i	0.368578	+	0.0841256i
$144$	26.0426			2.17022
$145$		0			0
$146$	12.8218			1.06114
$147$	13.3050	+	3.03679i	1.09738	+	0.250470i
$148$	1.23678	+	2.56820i	0.101663	+	0.211105i
$149$	21.5965	+	10.4003i	1.76925	+	0.852028i	0.966891	+	0.255191i	$0.0821383\pi$
$149$	21.5965	+	10.4003i	1.76925	+	0.852028i	0.802363	+	0.596837i	$0.203576\pi$
$150$	−4.84974	+	21.2481i	−0.395980	+	1.73490i
$151$	1.80281	+	7.89863i	0.146711	+	0.642782i	0.993786	+	0.111309i	$0.0355042\pi$
$151$	1.80281	+	7.89863i	0.146711	+	0.642782i	−0.847075	+	0.531473i	$0.821639\pi$
$152$	5.11845	−	2.46492i	0.415161	−	0.199931i
$153$	−12.3914	−	9.88179i	−1.00178	−	0.798895i
$154$	−4.82930	+	6.05576i	−0.389156	+	0.487987i
$155$	0.706996	−	1.46809i	0.0567873	−	0.117920i
$156$	−2.83452	+	2.26045i	−0.226943	+	0.180981i
$157$		−	3.66196i		−	0.292256i	−0.989266	−	0.146128i	$-0.953319\pi$
$157$		−	3.66196i		−	0.292256i	0.989266	−	0.146128i	$-0.0466811\pi$
$158$	13.3649	+	16.7590i	1.06325	+	1.33328i
$159$	−8.82811	+	2.01496i	−0.700115	+	0.159797i
$160$	0.988738	−	0.225673i	0.0781666	−	0.0178410i
$161$	1.13662	+	1.42528i	0.0895782	+	0.112328i
$162$		−	8.76992i		−	0.689030i
$163$	13.9010	−	11.0856i	1.08881	−	0.868294i	0.0969038	−	0.995294i	$-0.469106\pi$
$163$	13.9010	−	11.0856i	1.08881	−	0.868294i	0.991903	+	0.127000i	$0.0405347\pi$
$164$	0.771058	−	1.60112i	0.0602095	−	0.125026i
$165$	−1.21763	+	1.52686i	−0.0947921	+	0.118866i
$166$	2.97151	+	2.36970i	0.230634	+	0.183925i
$167$	9.70351	−	4.67296i	0.750880	−	0.361605i	−0.0189782	−	0.999820i	$-0.506041\pi$
$167$	9.70351	−	4.67296i	0.750880	−	0.361605i	0.769858	+	0.638215i	$0.220327\pi$
$168$	5.52431	+	24.2036i	0.426210	+	1.86735i
$169$	0.772909	−	3.38634i	0.0594545	−	0.260487i
$170$	−1.79092	−	0.862463i	−0.137357	−	0.0661479i
$171$	−5.58162	−	11.5904i	−0.426837	−	0.886337i
$172$	1.60973	+	0.367410i	0.122741	+	0.0280148i
$173$	−5.10262			−0.387945			−0.193972	−	0.981007i	$-0.562137\pi$
$173$	−5.10262			−0.387945			−0.193972	+	0.981007i	$0.562137\pi$
$174$		0			0
$175$	−16.3618			−1.23683
$176$	−6.62638	−	1.51243i	−0.499482	−	0.114004i
$177$	16.8706	+	35.0322i	1.26807	+	2.63318i
$178$	−18.8325	−	9.06927i	−1.41156	−	0.679771i
$179$	1.91150	−	8.37482i	0.142872	−	0.625964i	−0.851888	−	0.523724i	$-0.824542\pi$
$179$	1.91150	−	8.37482i	0.142872	−	0.625964i	0.994760	−	0.102239i	$-0.0326007\pi$
$180$	−0.227100	−	0.994990i	−0.0169270	−	0.0741622i
$181$	−8.39001	+	4.04041i	−0.623624	+	0.300322i	−0.718883	−	0.695131i	$-0.755346\pi$
$181$	−8.39001	+	4.04041i	−0.623624	+	0.300322i	0.0952589	+	0.995453i	$0.469632\pi$
$182$	−12.7609	−	10.1764i	−0.945898	−	0.754328i
$183$	3.45457	−	4.33190i	0.255369	−	0.320223i
$184$	−0.574340	+	1.19263i	−0.0423409	+	0.0879218i
$185$	−2.52966	+	2.01734i	−0.185984	+	0.148318i
$186$		−	16.3065i		−	1.19565i
$187$	2.57902	+	3.23399i	0.188597	+	0.236493i
$188$	−0.0700197	+	0.0159815i	−0.00510671	+	0.00116557i
$189$	25.5103	−	5.82257i	1.85560	−	0.423530i
$190$	−1.00595	−	1.26142i	−0.0729794	−	0.0915133i
$191$		−	12.4211i		−	0.898759i	−0.893341	−	0.449379i	$-0.851645\pi$
$191$		−	12.4211i		−	0.898759i	0.893341	−	0.449379i	$-0.148355\pi$
$192$	−13.3587	+	10.6532i	−0.964081	+	0.768829i
$193$	−8.73348	+	18.1353i	−0.628650	+	1.30541i	0.306742	+	0.951793i	$0.400761\pi$
$193$	−8.73348	+	18.1353i	−0.628650	+	1.30541i	−0.935392	+	0.353612i	$0.884953\pi$
$194$	−4.54756	+	5.70246i	−0.326496	+	0.409413i
$195$	−3.21743	−	2.56582i	−0.230405	−	0.183742i
$196$	1.67700	−	0.807602i	0.119786	−	0.0576859i
$197$	1.94549	+	8.52376i	0.138611	+	0.607292i	0.995741	+	0.0921933i	$0.0293878\pi$
$197$	1.94549	+	8.52376i	0.138611	+	0.607292i	−0.857131	+	0.515099i	$0.827755\pi$
$198$	−2.83396	+	12.4164i	−0.201401	+	0.882396i
$199$	−12.8225	−	6.17498i	−0.908962	−	0.437733i	−0.0798444	−	0.996807i	$-0.525442\pi$
$199$	−12.8225	−	6.17498i	−0.908962	−	0.437733i	−0.829118	+	0.559074i	$0.811157\pi$
$200$	−5.15481	−	10.7041i	−0.364500	−	0.756893i
$201$	34.8227	+	7.94805i	2.45620	+	0.560612i
$202$	−21.7255			−1.52860
$203$		0			0
$204$	−3.31716			−0.232248
$205$	1.96660	+	0.448864i	0.137353	+	0.0313500i
$206$	−5.78576	−	12.0143i	−0.403113	−	0.837073i
$207$	2.70062	+	1.30055i	0.187706	+	0.0903946i
$208$	3.18703	−	13.9633i	0.220981	−	0.968180i
$209$	0.747098	+	3.27325i	0.0516778	+	0.226415i
$210$	6.35237	−	3.05914i	0.438355	−	0.211101i
$211$	0.631696	+	0.503761i	0.0434878	+	0.0346803i	0.644993	−	0.764189i	$-0.276860\pi$
$211$	0.631696	+	0.503761i	0.0434878	+	0.0346803i	−0.601505	+	0.798869i	$0.705432\pi$
$212$	−0.770026	+	0.965582i	−0.0528856	+	0.0663165i
$213$	5.74823	−	11.9363i	0.393862	−	0.817863i
$214$	6.22148	−	4.96146i	0.425292	−	0.339159i
$215$			1.87418i			0.127818i
$216$	11.8463	+	14.8548i	0.806039	+	1.01074i
$217$	11.9348	−	2.72405i	0.810189	−	0.184920i
$218$	8.92075	−	2.03610i	0.604190	−	0.137902i
$219$	15.1429	+	18.9886i	1.02326	+	1.28313i
$220$			0.266358i			0.0179578i
$221$	−6.81476	+	5.43459i	−0.458410	+	0.365570i
$222$	−14.0488	+	29.1727i	−0.942896	+	1.95794i
$223$	7.10932	−	8.91481i	0.476075	−	0.596980i	−0.484572	−	0.874752i	$-0.661025\pi$
$223$	7.10932	−	8.91481i	0.476075	−	0.596980i	0.960647	+	0.277772i	$0.0895960\pi$
$224$	5.95692	+	4.75049i	0.398014	+	0.317405i
$225$	−24.2386	+	11.6727i	−1.61591	+	0.778180i
$226$	3.99654	+	17.5100i	0.265846	+	1.16475i
$227$	4.20484	−	18.4226i	0.279085	−	1.22275i	−0.619867	−	0.784707i	$-0.712814\pi$
$227$	4.20484	−	18.4226i	0.279085	−	1.22275i	0.898953	−	0.438046i	$-0.144329\pi$
$228$	−2.42581	−	1.16821i	−0.160653	−	0.0773666i
$229$	−10.5993	−	22.0096i	−0.700420	−	1.45444i	−0.882092	−	0.471077i	$-0.843865\pi$
$229$	−10.5993	−	22.0096i	−0.700420	−	1.45444i	0.181672	−	0.983359i	$-0.441849\pi$
$230$	0.366511	+	0.0836538i	0.0241670	+	0.00551597i
$231$	−14.6718			−0.965337
$232$		0			0
$233$	20.2523			1.32677			0.663387	−	0.748276i	$-0.269118\pi$
$233$	20.2523			1.32677			0.663387	+	0.748276i	$0.269118\pi$
$234$	−26.1642	−	5.97181i	−1.71041	−	0.390389i
$235$	−0.0353713	−	0.0734493i	−0.00230737	−	0.00479131i
$236$	4.77802	+	2.30097i	0.311023	+	0.149781i
$237$	−9.03516	+	39.5856i	−0.586896	+	2.57136i
$238$	−3.32306	−	14.5593i	−0.215402	−	0.943737i
$239$	5.97277	−	2.87634i	0.386346	−	0.186055i	−0.230620	−	0.973044i	$-0.574076\pi$
$239$	5.97277	−	2.87634i	0.386346	−	0.186055i	0.616967	+	0.786989i	$0.288361\pi$
$240$	4.83713	+	3.85748i	0.312235	+	0.249000i
$241$	0.709654	−	0.889878i	0.0457128	−	0.0573221i	−0.758450	−	0.651732i	$-0.774043\pi$
$241$	0.709654	−	0.889878i	0.0457128	−	0.0573221i	0.804162	+	0.594410i	$0.202614\pi$
$242$	−5.95209	+	12.3597i	−0.382615	+	0.794509i
$243$	−4.99291	+	3.98171i	−0.320295	+	0.255427i
$244$		−	0.755693i		−	0.0483783i
$245$	1.31730	+	1.65184i	0.0841590	+	0.105532i
$246$	19.6804	−	4.49192i	1.25478	−	0.286395i
$247$	−6.89748	+	1.57431i	−0.438876	+	0.100171i
$248$	5.54221	+	6.94971i	0.351931	+	0.441307i
$249$			7.19937i			0.456241i
$250$	−5.38956	+	4.29803i	−0.340866	+	0.271831i
$251$	11.4226	−	23.7193i	0.720989	−	1.49715i	−0.140885	−	0.990026i	$-0.544995\pi$
$251$	11.4226	−	23.7193i	0.720989	−	1.49715i	0.861874	−	0.507123i	$-0.169291\pi$
$252$	4.78052	−	5.99459i	0.301145	−	0.377623i
$253$	−0.611627	−	0.487756i	−0.0384527	−	0.0306650i
$254$	−22.9840	+	11.0685i	−1.44215	+	0.694501i
$255$	−0.837852	−	3.67087i	−0.0524683	−	0.229879i
$256$	−2.05767	+	9.01525i	−0.128605	+	0.563453i
$257$	−15.6201	−	7.52226i	−0.974357	−	0.469226i	−0.122197	−	0.992506i	$-0.538994\pi$
$257$	−15.6201	−	7.52226i	−0.974357	−	0.469226i	−0.852161	+	0.523280i	$0.824708\pi$
$258$	8.13771	+	16.8981i	0.506632	+	1.05203i
$259$	−23.6985	−	5.40904i	−1.47256	−	0.336101i
$260$	−0.561277			−0.0348089
$261$		0			0
$262$	−16.8850			−1.04316
$263$	4.90012	+	1.11842i	0.302154	+	0.0689647i	0.370910	−	0.928669i	$-0.379046\pi$
$263$	4.90012	+	1.11842i	0.302154	+	0.0689647i	−0.0687559	+	0.997634i	$0.521903\pi$
$264$	−4.62240	−	9.59852i	−0.284489	−	0.590748i
$265$	−1.26304	−	0.608247i	−0.0775878	−	0.0373643i
$266$	2.69724	−	11.8174i	0.165378	−	0.724569i
$267$	−8.81048	−	38.6012i	−0.539192	−	2.36236i
$268$	4.38915	−	2.11370i	0.268110	−	0.129115i
$269$	−17.1080	−	13.6431i	−1.04309	−	0.831837i	−0.0570551	−	0.998371i	$-0.518171\pi$
$269$	−17.1080	−	13.6431i	−1.04309	−	0.831837i	−0.986036	+	0.166534i	$0.946743\pi$
$270$	3.36436	−	4.21877i	0.204748	−	0.256746i
$271$	−3.38624	+	7.03160i	−0.205699	+	0.427139i	−0.978140	−	0.207948i	$-0.933322\pi$
$271$	−3.38624	+	7.03160i	−0.205699	+	0.427139i	0.772441	+	0.635087i	$0.219036\pi$
$272$	10.2454	−	8.17043i	0.621218	−	0.495405i
$273$		−	30.9169i		−	1.87118i
$274$	−11.0544	−	13.8617i	−0.667818	−	0.837418i
$275$	6.84526	−	1.56239i	0.412785	−	0.0942154i
$276$	0.611627	−	0.139600i	0.0368156	−	0.00840293i
$277$	1.13035	+	1.41741i	0.0679160	+	0.0851639i	0.814629	−	0.579982i	$-0.196941\pi$
$277$	1.13035	+	1.41741i	0.0679160	+	0.0851639i	−0.746713	+	0.665146i	$0.768369\pi$
$278$		−	29.5912i		−	1.77476i
$279$	15.7371	−	12.5499i	0.942156	−	0.751345i
$280$	−1.66760	+	3.46280i	−0.0996580	+	0.206942i
$281$	7.97975	−	10.0063i	0.476032	−	0.596926i	−0.484604	−	0.874733i	$-0.661036\pi$
$281$	7.97975	−	10.0063i	0.476032	−	0.596926i	0.960637	+	0.277808i	$0.0896079\pi$
$282$	−0.637836	−	0.508657i	−0.0379826	−	0.0302901i
$283$	18.4045	−	8.86315i	1.09404	−	0.526859i	0.202257	−	0.979332i	$-0.435172\pi$
$283$	18.4045	−	8.86315i	1.09404	−	0.526859i	0.891778	+	0.452473i	$0.149458\pi$
$284$	−0.402080	−	1.76163i	−0.0238590	−	0.104533i
$285$	0.680062	−	2.97955i	0.0402834	−	0.176493i
$286$	6.31051	+	3.03898i	0.373148	+	0.179699i
$287$	6.57532	+	13.6538i	0.388129	+	0.805958i
$288$	12.2138	+	2.78771i	0.719703	+	0.164268i
$289$	9.02488			0.530875
$290$		0			0
$291$	−13.8159			−0.809902
$292$	3.22948	+	0.737107i	0.188991	+	0.0431359i
$293$	−2.68510	−	5.57567i	−0.156865	−	0.325734i	0.807693	−	0.589603i	$-0.200716\pi$
$293$	−2.68510	−	5.57567i	−0.156865	−	0.325734i	−0.964559	+	0.263869i	$0.915001\pi$
$294$	19.0494	+	9.17373i	1.11099	+	0.535023i
$295$	−1.33949	+	5.86869i	−0.0779881	+	0.341688i
$296$	−3.92762	−	17.2080i	−0.228288	−	1.00020i
$297$	−10.1168	+	4.87197i	−0.587034	+	0.282700i
$298$	29.0346	+	23.1543i	1.68193	+	1.34129i
$299$	1.02781	−	1.28884i	0.0594400	−	0.0745354i
$300$	−2.44305	+	5.07304i	−0.141049	+	0.292892i
$301$	−11.0084	+	8.77890i	−0.634513	+	0.506007i
$302$			12.5519i			0.722279i
$303$	−25.6584	−	32.1746i	−1.47403	−	1.84838i
$304$	10.3698	−	2.36683i	0.594747	−	0.135747i
$305$	0.836274	−	0.190874i	0.0478849	−	0.0109294i
$306$	−15.3096	−	19.1977i	−0.875193	−	1.09746i
$307$			3.13998i			0.179208i	0.995977	+	0.0896041i	$0.0285602\pi$
$307$			3.13998i			0.179208i	−0.995977	+	0.0896041i	$0.971440\pi$
$308$	−1.56451	+	1.24766i	−0.0891463	+	0.0710918i
$309$	10.9595	−	22.7576i	0.623463	−	1.29463i
$310$	1.57399	−	1.97372i	0.0893967	−	0.112100i
$311$	−5.62216	−	4.48352i	−0.318803	−	0.254237i	0.450992	−	0.892528i	$-0.351070\pi$
$311$	−5.62216	−	4.48352i	−0.318803	−	0.254237i	−0.769795	+	0.638291i	$0.779642\pi$
$312$	20.2263	−	9.74046i	1.14509	−	0.551445i
$313$	0.462187	+	2.02497i	0.0261244	+	0.114458i	0.986309	−	0.164908i	$-0.0527328\pi$
$313$	0.462187	+	2.02497i	0.0261244	+	0.114458i	−0.960185	+	0.279366i	$0.909876\pi$
$314$	1.26245	−	5.53114i	0.0712440	−	0.312140i
$315$	7.84126	+	3.77615i	0.441805	+	0.212762i
$316$	2.40281	+	4.98948i	0.135168	+	0.280680i
$317$	−6.03813	−	1.37816i	−0.339135	−	0.0774053i	0.0495619	−	0.998771i	$-0.484217\pi$
$317$	−6.03813	−	1.37816i	−0.339135	−	0.0774053i	−0.388697	+	0.921366i	$0.627075\pi$
$318$	−14.0289			−0.786703
$319$		0			0
$320$	−2.64522			−0.147872
$321$	14.6954	+	3.35414i	0.820219	+	0.187210i
$322$	1.22543	+	2.54463i	0.0682905	+	0.141807i
$323$	−5.83214	−	2.80861i	−0.324509	−	0.156275i
$324$	0.504170	−	2.20891i	0.0280094	−	0.122717i
$325$	3.29230	+	14.4245i	0.182624	+	0.800129i
$326$	24.8182	−	11.9518i	1.37455	−	0.661949i
$327$	13.5510	+	10.8066i	0.749373	+	0.597605i
$328$	−6.86092	+	8.60333i	−0.378831	+	0.475039i
$329$	0.265737	−	0.551808i	0.0146505	−	0.0304221i
$330$	−2.36552	+	1.88644i	−0.130218	+	0.103845i
$331$			2.80221i			0.154023i	0.997030	+	0.0770116i	$0.0245378\pi$
$331$			2.80221i			0.154023i	−0.997030	+	0.0770116i	$0.975462\pi$
$332$	0.612216	+	0.767694i	0.0335997	+	0.0421327i
$333$	−38.9663	+	8.89381i	−2.13534	+	0.487378i
$334$	16.2675	−	3.71295i	0.890117	−	0.203163i
$335$	3.44770	+	4.32328i	0.188368	+	0.236206i
$336$			46.4809i			2.53574i
$337$	−15.0817	+	12.0272i	−0.821551	+	0.655165i	−0.941274	−	0.337643i	$-0.890371\pi$
$337$	−15.0817	+	12.0272i	−0.821551	+	0.655165i	0.119724	+	0.992807i	$0.461799\pi$
$338$	2.33485	−	4.84837i	0.126999	−	0.263717i
$339$	−21.2115	+	26.5984i	−1.15205	+	1.44463i
$340$	−0.401504	−	0.320189i	−0.0217746	−	0.0173647i
$341$	−4.73305	+	2.27932i	−0.256309	+	0.123432i
$342$	−4.43493	−	19.4307i	−0.239814	−	1.05069i
$343$	1.78461	−	7.81891i	0.0963602	−	0.422181i
$344$	−9.21150	−	4.43602i	−0.496651	−	0.239174i
$345$	0.308971	+	0.641585i	0.0166344	+	0.0345418i
$346$	−7.70716	−	1.75911i	−0.414339	−	0.0945702i
$347$	29.3654			1.57642			0.788209	−	0.615408i	$-0.211009\pi$
$347$	29.3654			1.57642			0.788209	+	0.615408i	$0.211009\pi$
$348$		0			0
$349$	8.51756			0.455935			0.227967	−	0.973669i	$-0.426792\pi$
$349$	8.51756			0.455935			0.227967	+	0.973669i	$0.426792\pi$
$350$	−24.7133	−	5.64066i	−1.32098	−	0.301506i
$351$	−10.2664	−	21.3183i	−0.547977	−	1.13789i
$352$	−2.94582	−	1.41863i	−0.157013	−	0.0756134i
$353$	5.80815	−	25.4472i	0.309137	−	1.35442i	−0.546769	−	0.837284i	$-0.684142\pi$
$353$	5.80815	−	25.4472i	0.309137	−	1.35442i	0.855905	−	0.517133i	$-0.173001\pi$
$354$	13.4047	+	58.7298i	0.712452	+	3.12146i
$355$	1.84791	−	0.889908i	0.0980770	−	0.0472314i
$356$	−4.22204	−	3.36696i	−0.223768	−	0.178449i
$357$	17.6370	−	22.1162i	0.933452	−	1.17051i
$358$	5.77438	−	11.9906i	0.305185	−	0.633724i
$359$	−4.35541	+	3.47333i	−0.229870	+	0.183315i	−0.731651	−	0.681680i	$-0.761250\pi$
$359$	−4.35541	+	3.47333i	−0.229870	+	0.183315i	0.501781	+	0.864995i	$0.332678\pi$
$360$			6.31955i			0.333069i
$361$	8.57042	+	10.7470i	0.451075	+	0.565630i
$362$	−14.0655	+	3.21035i	−0.739264	+	0.168732i
$363$	−25.3337	+	5.78225i	−1.32967	+	0.303489i
$364$	−2.62910	−	3.29678i	−0.137802	−	0.172798i
$365$			3.76002i			0.196808i
$366$	6.71131	−	5.35209i	0.350806	−	0.279758i
$367$	2.19753	−	4.56323i	0.114710	−	0.238198i	−0.835707	−	0.549175i	$-0.814942\pi$
$367$	2.19753	−	4.56323i	0.114710	−	0.238198i	0.950417	+	0.310977i	$0.100656\pi$
$368$	−1.54523	+	1.93766i	−0.0805506	+	0.101007i
$369$	19.4816	+	15.5361i	1.01417	+	0.808775i
$370$	−4.51635	+	2.17496i	−0.234794	+	0.113071i
$371$	−2.34357	−	10.2678i	−0.121672	−	0.533079i
$372$	0.937439	−	4.10719i	0.0486039	−	0.212948i
$373$	0.418212	+	0.201400i	0.0216542	+	0.0104281i	0.444680	−	0.895690i	$-0.353318\pi$
$373$	0.418212	+	0.201400i	0.0216542	+	0.0104281i	−0.423025	+	0.906118i	$0.639032\pi$
$374$	2.78053	+	5.77383i	0.143778	+	0.298558i
$375$	−12.7304	−	2.90563i	−0.657395	−	0.150046i
$376$	0.444721			0.0229347
$377$		0			0
$378$	40.5390			2.08510
$379$	−2.30346	−	0.525749i	−0.118321	−	0.0270059i	0.162951	−	0.986634i	$-0.447899\pi$
$379$	−2.30346	−	0.525749i	−0.118321	−	0.0270059i	−0.281271	+	0.959628i	$0.590756\pi$
$380$	−0.180855	−	0.375550i	−0.00927769	−	0.0192653i
$381$	−43.5367	−	20.9662i	−2.23046	−	1.07413i
$382$	4.28213	−	18.7612i	0.219093	−	0.959908i
$383$	5.54294	+	24.2852i	0.283231	+	1.24092i	0.893624	+	0.448817i	$0.148154\pi$
$383$	5.54294	+	24.2852i	0.283231	+	1.24092i	−0.610393	+	0.792099i	$0.708988\pi$
$384$	−35.6543	+	17.1702i	−1.81948	+	0.876213i
$385$	−1.77586	−	1.41620i	−0.0905062	−	0.0721763i
$386$	−19.4434	+	24.3813i	−0.989643	+	1.24097i
$387$	−10.0451	+	20.8588i	−0.510619	+	1.06031i
$388$	−1.47324	+	1.17487i	−0.0747923	+	0.0596449i
$389$			12.0401i			0.610455i	0.952279	+	0.305227i	$0.0987325\pi$
$389$			12.0401i			0.610455i	−0.952279	+	0.305227i	$0.901268\pi$
$390$	−3.97516	−	4.98469i	−0.201290	−	0.252410i
$391$	1.47048	−	0.335626i	0.0743651	−	0.0169734i
$392$	−11.2366	+	2.56469i	−0.567536	+	0.129536i
$393$	−19.9416	−	25.0059i	−1.00592	−	1.26138i
$394$			13.5453i			0.682400i
$395$	−4.91461	+	3.91927i	−0.247281	+	0.197200i
$396$	−1.42760	+	2.96445i	−0.0717397	+	0.148969i
$397$	−16.2429	+	20.3680i	−0.815208	+	1.02224i	0.184019	+	0.982923i	$0.441089\pi$
$397$	−16.2429	+	20.3680i	−0.815208	+	1.02224i	−0.999227	+	0.0393161i	$0.987482\pi$
$398$	−17.2387	−	13.7474i	−0.864098	−	0.689095i
$399$	20.6865	−	9.96210i	1.03562	−	0.498729i
$400$	−4.94969	−	21.6860i	−0.247485	−	1.08430i
$401$	−6.12791	+	26.8481i	−0.306013	+	1.34073i	0.554874	+	0.831934i	$0.312766\pi$
$401$	−6.12791	+	26.8481i	−0.306013	+	1.34073i	−0.860887	+	0.508796i	$0.830091\pi$
$402$	49.8573	+	24.0100i	2.48665	+	1.19751i
$403$	−4.80304	−	9.97362i	−0.239257	−	0.496821i
$404$	−5.47208	−	1.24897i	−0.272246	−	0.0621384i
$405$	2.57179			0.127793
$406$		0			0
$407$	10.4313			0.517058
$408$	20.0253	+	4.57064i	0.991399	+	0.226280i
$409$	7.76612	+	16.1265i	0.384010	+	0.797405i	0.999954	+	0.00961471i	$0.00306050\pi$
$409$	7.76612	+	16.1265i	0.384010	+	0.797405i	−0.615944	+	0.787790i	$0.711225\pi$
$410$	2.81567	+	1.35596i	0.139056	+	0.0669659i
$411$	7.47317	−	32.7421i	0.368624	−	1.61505i
$412$	−0.766599	−	3.35869i	−0.0377676	−	0.165471i
$413$	−40.7454	+	19.6219i	−2.00495	+	0.965532i
$414$	3.63075	+	2.89543i	0.178442	+	0.142302i
$415$	−0.694920	+	0.871402i	−0.0341123	+	0.0427754i
$416$	2.98938	−	6.20752i	0.146566	−	0.304348i
$417$	43.8233	−	34.9479i	2.14603	−	1.71141i
$418$			5.20158i			0.254418i
$419$	1.68859	+	2.11742i	0.0824928	+	0.103443i	0.821365	−	0.570403i	$-0.193213\pi$
$419$	1.68859	+	2.11742i	0.0824928	+	0.103443i	−0.738872	+	0.673845i	$0.764641\pi$
$420$	1.77586	−	0.405329i	0.0866531	−	0.0197780i
$421$	−13.5811	+	3.09980i	−0.661902	+	0.151075i	−0.540259	−	0.841499i	$-0.681674\pi$
$421$	−13.5811	+	3.09980i	−0.661902	+	0.151075i	−0.121643	+	0.992574i	$0.538816\pi$
$422$	0.780465	+	0.978672i	0.0379924	+	0.0476410i
$423$		−	1.00704i		−	0.0489639i
$424$	5.97901	−	4.76810i	0.290366	−	0.231559i
$425$	−5.87358	+	12.1966i	−0.284910	+	0.591622i
$426$	12.7973	−	16.0473i	0.620032	−	0.777496i
$427$	5.03836	+	4.01796i	0.243823	+	0.194443i
$428$	1.85225	−	0.891998i	0.0895321	−	0.0431164i
$429$	2.95226	+	12.9347i	0.142537	+	0.624493i
$430$	−0.646116	+	2.83082i	−0.0311585	+	0.136514i
$431$	−11.8293	−	5.69671i	−0.569799	−	0.274401i	0.126721	−	0.991938i	$-0.459555\pi$
$431$	−11.8293	−	5.69671i	−0.569799	−	0.274401i	−0.696520	+	0.717538i	$0.745269\pi$
$432$	15.4346	+	32.0502i	0.742596	+	1.54202i
$433$	5.49900	+	1.25511i	0.264265	+	0.0603168i	0.352600	−	0.935774i	$-0.385298\pi$
$433$	5.49900	+	1.25511i	0.264265	+	0.0603168i	−0.0883353	+	0.996091i	$0.528155\pi$
$434$	18.9659			0.910391
$435$		0			0
$436$	2.36396			0.113213
$437$	1.19354	+	0.272419i	0.0570950	+	0.0130316i
$438$	16.3260	+	33.9014i	0.780089	+	1.61987i
$439$	21.8988	+	10.5459i	1.04517	+	0.503329i	0.876027	−	0.482262i	$-0.160185\pi$
$439$	21.8988	+	10.5459i	1.04517	+	0.503329i	0.169147	+	0.985591i	$0.445899\pi$
$440$	0.367009	−	1.60797i	0.0174965	−	0.0766570i
$441$	5.80756	+	25.4446i	0.276550	+	1.21165i
$442$	−12.1668	+	5.85922i	−0.578715	+	0.278694i
$443$	8.55458	+	6.82205i	0.406440	+	0.324125i	0.805279	−	0.592896i	$-0.202015\pi$
$443$	8.55458	+	6.82205i	0.406440	+	0.324125i	−0.398839	+	0.917021i	$0.630587\pi$
$444$	−5.21563	+	6.54019i	−0.247523	+	0.310384i
$445$	2.65958	−	5.52267i	0.126076	−	0.261800i
$446$	13.8115	−	11.0143i	0.653993	−	0.521542i
$447$			70.3448i			3.32719i
$448$	−12.3906	−	15.5373i	−0.585399	−	0.734067i
$449$	−2.38783	+	0.545007i	−0.112689	+	0.0257205i	−0.278493	−	0.960438i	$-0.589835\pi$
$449$	−2.38783	+	0.545007i	−0.112689	+	0.0257205i	0.165805	+	0.986159i	$0.446978\pi$
$450$	−40.6349	+	9.27466i	−1.91555	+	0.437211i
$451$	−4.05472	−	5.08445i	−0.190929	−	0.239418i
$452$			4.64006i			0.218250i
$453$	−18.5888	+	14.8241i	−0.873378	+	0.696495i
$454$	12.7023	−	26.3765i	0.596147	−	1.23791i
$455$	2.98426	−	3.74214i	0.139904	−	0.175434i
$456$	13.0347	+	10.3948i	0.610405	+	0.486782i
$457$	−18.5313	+	8.92422i	−0.866859	+	0.417457i	−0.813808	−	0.581134i	$-0.802609\pi$
$457$	−18.5313	+	8.92422i	−0.866859	+	0.417457i	−0.0530516	+	0.998592i	$0.516895\pi$
$458$	−8.42175	−	36.8981i	−0.393523	−	1.72414i
$459$	4.81741	−	21.1065i	0.224858	−	0.985165i
$460$	0.0875054	+	0.0421404i	0.00407996	+	0.00196481i
$461$	7.31847	+	15.1970i	0.340855	+	0.707793i	0.998982	−	0.0451140i	$-0.0143651\pi$
$461$	7.31847	+	15.1970i	0.340855	+	0.707793i	−0.658127	+	0.752907i	$0.728651\pi$
$462$	−22.1608	−	5.05807i	−1.03102	−	0.235323i
$463$	−12.3851			−0.575585			−0.287793	−	0.957693i	$-0.592921\pi$
$463$	−12.3851			−0.575585			−0.287793	+	0.957693i	$0.592921\pi$
$464$		0			0
$465$	4.78192			0.221756
$466$	30.5898	+	6.98192i	1.41704	+	0.323431i
$467$	−11.0089	−	22.8602i	−0.509431	−	1.05784i	−0.984089	−	0.177674i	$-0.943143\pi$
$467$	−11.0089	−	22.8602i	−0.509431	−	1.05784i	0.474658	−	0.880170i	$-0.342572\pi$
$468$	−6.24676	−	3.00828i	−0.288757	−	0.139058i
$469$	−9.24425	+	40.5017i	−0.426860	+	1.87019i
$470$	−0.0281046	−	0.123134i	−0.00129637	−	0.00567977i
$471$	9.68236	−	4.66278i	0.446140	−	0.214850i
$472$	−25.6739	−	20.4742i	−1.18174	−	0.942402i
$473$	3.76728	−	4.72402i	0.173220	−	0.217211i
$474$	−27.2940	+	56.6766i	−1.25365	+	2.60324i
$475$	−8.59060	+	6.85077i	−0.394164	+	0.314335i
$476$		−	3.85813i		−	0.176837i
$477$	−10.7970	−	13.5390i	−0.494362	−	0.619910i
$478$	10.0131	−	2.28542i	0.457987	−	0.104533i
$479$	14.8695	−	3.39386i	0.679404	−	0.155070i	0.131126	−	0.991366i	$-0.458141\pi$
$479$	14.8695	−	3.39386i	0.679404	−	0.155070i	0.548278	+	0.836296i	$0.315284\pi$
$480$	1.85565	+	2.32692i	0.0846986	+	0.106209i
$481$			21.9810i			1.00225i
$482$	1.37867	−	1.09945i	0.0627965	−	0.0500786i
$483$	−2.32123	+	4.82008i	−0.105620	+	0.219321i
$484$	−2.20971	+	2.77089i	−0.100442	+	0.125950i
$485$	−1.67226	−	1.33358i	−0.0759333	−	0.0605548i
$486$	−8.91413	+	4.29282i	−0.404353	+	0.194726i
$487$	0.117757	+	0.515927i	0.00533608	+	0.0233789i	0.977526	−	0.210815i	$-0.0676119\pi$
$487$	0.117757	+	0.515927i	0.00533608	+	0.0233789i	−0.972190	+	0.234194i	$0.924755\pi$
$488$	−1.04125	+	4.56203i	−0.0471353	+	0.206513i
$489$	47.0110	+	22.6393i	2.12591	+	1.02379i
$490$	1.42022	+	2.94912i	0.0641592	+	0.133228i
$491$	−18.6691	−	4.26109i	−0.842523	−	0.192300i	−0.220586	−	0.975368i	$-0.570797\pi$
$491$	−18.6691	−	4.26109i	−0.842523	−	0.192300i	−0.621937	+	0.783067i	$0.713654\pi$
$492$	5.21521			0.235120
$493$		0			0
$494$	−10.9609			−0.493155
$495$	−3.64113	−	0.831065i	−0.163657	−	0.0373536i
$496$	7.22096	+	14.9945i	0.324230	+	0.673272i
$497$	13.8829	+	6.68567i	0.622735	+	0.299893i
$498$	−2.48196	+	10.8742i	−0.111219	+	0.487283i
$499$	3.03547	+	13.2992i	0.135886	+	0.595356i	0.996314	+	0.0857835i	$0.0273393\pi$
$499$	3.03547	+	13.2992i	0.135886	+	0.595356i	−0.860428	+	0.509573i	$0.829804\pi$
$500$	−1.60458	+	0.772723i	−0.0717588	+	0.0345572i
$501$	24.7110	+	19.7064i	1.10401	+	0.880416i
$502$	25.4302	−	31.8885i	1.13501	−	1.42325i
$503$	18.1729	−	37.7364i	0.810290	−	1.68258i	0.0826972	−	0.996575i	$-0.473647\pi$
$503$	18.1729	−	37.7364i	0.810290	−	1.68258i	0.727593	−	0.686009i	$-0.240639\pi$
$504$	−37.1192	+	29.6016i	−1.65342	+	1.31856i
$505$		−	6.37104i		−	0.283508i
$506$	−0.755669	−	0.947579i	−0.0335936	−	0.0421250i
$507$	9.93776	−	2.26823i	0.441351	−	0.100736i
$508$	−6.42539	+	1.46655i	−0.285080	+	0.0650678i
$509$	−1.65526	−	2.07563i	−0.0733679	−	0.0920005i	0.743793	−	0.668410i	$-0.233025\pi$
$509$	−1.65526	−	2.07563i	−0.0733679	−	0.0920005i	−0.817161	+	0.576409i	$0.804453\pi$
$510$		−	5.83345i		−	0.258309i
$511$	−22.0853	+	17.6124i	−0.976995	+	0.779128i
$512$	5.48570	−	11.3912i	0.242436	−	0.503423i
$513$	10.9560	−	13.7384i	0.483721	−	0.606567i
$514$	−20.9999	−	16.7469i	−0.926266	−	0.738672i
$515$	3.52320	−	1.69668i	0.155251	−	0.0747648i
$516$	1.07823	+	4.72402i	0.0474663	+	0.207963i
$517$	−0.0584839	+	0.256235i	−0.00257212	+	0.0112692i
$518$	−33.9303	−	16.3400i	−1.49081	−	0.717937i
$519$	−6.49718	−	13.4915i	−0.285194	−	0.592212i
$520$	3.38836	+	0.773371i	0.148589	+	0.0339146i
$521$	−6.45004			−0.282581			−0.141291	−	0.989968i	$-0.545125\pi$
$521$	−6.45004			−0.282581			−0.141291	+	0.989968i	$0.545125\pi$
$522$		0			0
$523$	−18.9831			−0.830074			−0.415037	−	0.909804i	$-0.636231\pi$
$523$	−18.9831			−0.830074			−0.415037	+	0.909804i	$0.636231\pi$
$524$	−4.25288	−	0.970693i	−0.185788	−	0.0424049i
$525$	−20.8335	−	43.2612i	−0.909248	−	1.88807i
$526$	7.01573	+	3.37860i	0.305900	+	0.147314i
$527$	2.25379	−	9.87451i	0.0981768	−	0.430141i
$528$	−4.43847	−	19.4462i	−0.193160	−	0.846287i
$529$	20.4653	−	9.85556i	0.889795	−	0.428503i
$530$	−1.69804	−	1.35414i	−0.0737582	−	0.0588202i
$531$	−46.3624	+	58.1366i	−2.01196	+	2.52291i
$532$	1.35873	−	2.82142i	0.0589082	−	0.122324i
$533$	10.7141	−	8.54421i	0.464079	−	0.370091i
$534$		−	61.3419i		−	2.65453i
$535$	1.45496	+	1.82446i	0.0629033	+	0.0788782i
$536$	−29.4092	+	6.71245i	−1.27028	+	0.289934i
$537$	24.5773	−	5.60961i	1.06059	−	0.242072i
$538$	−21.1370	−	26.5050i	−0.911281	−	1.14271i
$539$		−	6.81149i		−	0.293392i
$540$	1.08992	−	0.869185i	0.0469028	−	0.0374038i
$541$	9.90061	−	20.5588i	0.425660	−	0.883893i	−0.572299	−	0.820045i	$-0.693948\pi$
$541$	9.90061	−	20.5588i	0.425660	−	0.883893i	0.997960	−	0.0638482i	$-0.0203373\pi$
$542$	−7.53880	+	9.45336i	−0.323819	+	0.406057i
$543$	−21.3660	−	17.0389i	−0.916905	−	0.731207i
$544$	5.67960	−	2.73515i	0.243511	−	0.117269i
$545$	0.597091	+	2.61603i	0.0255766	+	0.112058i
$546$	10.6585	−	46.6979i	0.456142	−	1.99849i
$547$	−14.9387	−	7.19408i	−0.638731	−	0.307597i	0.0863451	−	0.996265i	$-0.472481\pi$
$547$	−14.9387	−	7.19408i	−0.638731	−	0.307597i	−0.725076	+	0.688669i	$0.758196\pi$
$548$	−1.98741	−	4.12690i	−0.0848980	−	0.176293i
$549$	10.3304	+	2.35784i	0.440890	+	0.100630i
$550$	10.8779			0.463837
$551$		0			0
$552$	−3.88467			−0.165343
$553$	−46.0414	−	10.5086i	−1.95788	−	0.446873i
$554$	1.21867	+	2.53059i	0.0517762	+	0.107514i
$555$	−8.55495	−	4.11985i	−0.363137	−	0.174878i
$556$	1.70115	−	7.45323i	0.0721449	−	0.316088i
$557$	−9.23771	−	40.4731i	−0.391414	−	1.71490i	−0.659674	−	0.751552i	$-0.729306\pi$
$557$	−9.23771	−	40.4731i	−0.391414	−	1.71490i	0.268260	−	0.963347i	$-0.413552\pi$
$558$	28.0964	−	13.5305i	1.18942	−	0.572792i
$559$	9.95458	+	7.93852i	0.421034	+	0.335763i
$560$	−4.48658	+	5.62599i	−0.189592	+	0.237741i
$561$	−5.26693	+	10.9369i	−0.222370	+	0.461756i
$562$	15.5025	−	12.3628i	0.653934	−	0.521495i
$563$		−	25.8782i		−	1.09064i	−0.838229	−	0.545318i	$-0.816409\pi$
$563$		−	25.8782i		−	1.09064i	0.838229	−	0.545318i	$-0.183591\pi$
$564$	−0.131412	−	0.164786i	−0.00553345	−	0.00693873i
$565$	−5.13483	+	1.17199i	−0.216024	+	0.0493061i
$566$	30.8543	−	7.04230i	1.29690	−	0.296010i
$567$	12.0466	+	15.1060i	0.505911	+	0.634392i
$568$			11.1887i			0.469469i
$569$	5.35998	−	4.27444i	0.224702	−	0.179194i	−0.504668	−	0.863314i	$-0.668385\pi$
$569$	5.35998	−	4.27444i	0.224702	−	0.179194i	0.729370	+	0.684120i	$0.239813\pi$
$570$	2.05438	−	4.26595i	0.0860483	−	0.178681i
$571$	−15.4608	+	19.3872i	−0.647014	+	0.811330i	−0.991861	−	0.127329i	$-0.959360\pi$
$571$	−15.4608	+	19.3872i	−0.647014	+	0.811330i	0.344847	+	0.938659i	$0.387931\pi$
$572$	1.41474	+	1.12822i	0.0591534	+	0.0471733i
$573$	32.8419	−	15.8158i	1.37199	−	0.660715i
$574$	5.22448	+	22.8900i	0.218066	+	0.955408i
$575$	0.569702	−	2.49603i	0.0237582	−	0.104092i
$576$	−29.4401	−	14.1776i	−1.22667	−	0.590734i
$577$	17.9884	+	37.3532i	0.748865	+	1.55503i	0.829638	+	0.558302i	$0.188547\pi$
$577$	17.9884	+	37.3532i	0.748865	+	1.55503i	−0.0807732	+	0.996733i	$0.525739\pi$
$578$	13.6315	+	3.11129i	0.566994	+	0.129413i
$579$	−59.0708			−2.45490
$580$		0			0
$581$	−8.37346			−0.347390
$582$	−20.8680	−	4.76298i	−0.865006	−	0.197432i
$583$	1.96095	+	4.07196i	0.0812144	+	0.168643i
$584$	−18.4803	−	8.89965i	−0.764721	−	0.368270i
$585$	1.75124	−	7.67269i	0.0724050	−	0.317227i
$586$	−2.13347	−	9.34735i	−0.0881329	−	0.386136i
$587$	−8.12034	+	3.91055i	−0.335162	+	0.161406i	−0.593893	−	0.804544i	$-0.702410\pi$
$587$	−8.12034	+	3.91055i	−0.335162	+	0.161406i	0.258731	+	0.965949i	$0.416696\pi$
$588$	4.27067	+	3.40574i	0.176119	+	0.140451i
$589$	5.12570	−	6.42743i	0.211201	−	0.264838i
$590$	−4.04642	+	8.40247i	−0.166588	+	0.345924i
$591$	−20.0600	+	15.9973i	−0.825157	+	0.658040i
$592$		−	33.0466i		−	1.35821i
$593$	−2.56163	−	3.21218i	−0.105194	−	0.131909i	0.726448	−	0.687222i	$-0.241170\pi$
$593$	−2.56163	−	3.21218i	−0.105194	−	0.131909i	−0.831641	+	0.555313i	$0.812598\pi$
$594$	−16.9603	+	3.87107i	−0.695888	+	0.158832i
$595$	4.26953	−	0.974492i	0.175034	−	0.0399503i
$596$	5.98194	+	7.50111i	0.245030	+	0.307258i
$597$		−	41.7658i		−	1.70936i
$598$	1.99677	−	1.59237i	0.0816538	−	0.0651168i
$599$	−19.4134	+	40.3123i	−0.793210	+	1.64712i	−0.0312337	+	0.999512i	$0.509944\pi$
$599$	−19.4134	+	40.3123i	−0.793210	+	1.64712i	−0.761976	+	0.647605i	$0.775771\pi$
$600$	21.7384	−	27.2591i	0.887466	−	1.11285i
$601$	−3.46522	−	2.76342i	−0.141349	−	0.112722i	0.550263	−	0.834992i	$-0.314528\pi$
$601$	−3.46522	−	2.76342i	−0.141349	−	0.112722i	−0.691612	+	0.722269i	$0.743099\pi$
$602$	−19.6539	+	9.46484i	−0.801035	+	0.385758i
$603$	15.1999	+	66.5950i	0.618986	+	2.71196i
$604$	−0.721588	+	3.16149i	−0.0293610	+	0.128639i
$605$	−3.62449	−	1.74546i	−0.147356	−	0.0709631i
$606$	−27.6632	−	57.4431i	−1.12374	−	2.33347i
$607$	11.1191	+	2.53786i	0.451310	+	0.103009i	0.442133	−	0.896949i	$-0.354222\pi$
$607$	11.1191	+	2.53786i	0.451310	+	0.103009i	0.00917681	+	0.999958i	$0.497079\pi$
$608$	5.11669			0.207509
$609$		0			0
$610$	1.32894			0.0538071
$611$	−0.539945	−	0.123239i	−0.0218438	−	0.00498571i
$612$	−2.75245	−	5.71551i	−0.111261	−	0.231036i
$613$	28.4036	+	13.6785i	1.14721	+	0.552468i	0.908195	−	0.418548i	$-0.137461\pi$
$613$	28.4036	+	13.6785i	1.14721	+	0.552468i	0.239016	+	0.971016i	$0.423175\pi$
$614$	−1.08250	+	4.74273i	−0.0436861	+	0.191401i
$615$	1.31726	+	5.77131i	0.0531172	+	0.232722i
$616$	11.1639	−	5.37624i	0.449806	−	0.216615i
$617$	2.48272	+	1.97991i	0.0999507	+	0.0797080i	0.672190	−	0.740379i	$-0.265354\pi$
$617$	2.48272	+	1.97991i	0.0999507	+	0.0797080i	−0.572239	+	0.820087i	$0.693925\pi$
$618$	24.3992	−	30.5956i	0.981478	−	1.23073i
$619$	−9.05778	+	18.8087i	−0.364063	+	0.755984i	−0.999874	−	0.0158603i	$-0.994951\pi$
$619$	−9.05778	+	18.8087i	−0.364063	+	0.755984i	0.635811	+	0.771844i	$0.280666\pi$
$620$	0.509913	−	0.406642i	0.0204786	−	0.0163311i
$621$			4.09441i			0.164303i
$622$	−6.94622	−	8.71028i	−0.278518	−	0.349250i
$623$	44.8964	−	10.2473i	1.79874	−	0.410550i
$624$	40.9776	−	9.35287i	1.64042	−	0.374414i
$625$	13.6834	+	17.1584i	0.547334	+	0.686335i
$626$			3.21792i			0.128614i
$627$	−7.70333	+	6.14320i	−0.307641	+	0.245336i
$628$	0.635954	−	1.32057i	0.0253773	−	0.0526965i
$629$	−12.5394	+	15.7239i	−0.499980	+	0.626955i
$630$	10.5419	+	8.40687i	0.419999	+	0.334938i
$631$	−34.5397	+	16.6334i	−1.37500	+	0.662166i	−0.967928	−	0.251229i	$-0.919165\pi$
$631$	−34.5397	+	16.6334i	−1.37500	+	0.662166i	−0.407074	+	0.913395i	$0.633451\pi$
$632$	−7.63056	−	33.4317i	−0.303527	−	1.32984i
$633$	−0.527624	+	2.31167i	−0.0209712	+	0.0918807i
$634$	−8.64507	−	4.16324i	−0.343339	−	0.165344i
$635$	−3.24587	−	6.74011i	−0.128808	−	0.267473i
$636$	−3.53352	−	0.806502i	−0.140113	−	0.0319799i
$637$	14.3534			0.568701
$638$		0			0
$639$	25.3361			1.00228
$640$	−5.97290	−	1.36328i	−0.236100	−	0.0538882i
$641$	2.90788	+	6.03827i	0.114854	+	0.238497i	0.950469	−	0.310818i	$-0.100603\pi$
$641$	2.90788	+	6.03827i	0.114854	+	0.238497i	−0.835615	+	0.549315i	$0.814889\pi$
$642$	21.0401	+	10.1324i	0.830388	+	0.399894i
$643$	−2.99285	+	13.1125i	−0.118026	+	0.517107i	0.881005	+	0.473107i	$0.156867\pi$
$643$	−2.99285	+	13.1125i	−0.118026	+	0.517107i	−0.999032	+	0.0440005i	$0.985990\pi$
$644$	0.162366	+	0.711373i	0.00639813	+	0.0280320i
$645$	−4.95540	+	2.38640i	−0.195119	+	0.0939643i
$646$	−7.84080	−	6.25283i	−0.308492	−	0.246014i
$647$	−11.6335	+	14.5880i	−0.457361	+	0.573513i	−0.956026	−	0.293282i	$-0.905252\pi$
$647$	−11.6335	+	14.5880i	−0.457361	+	0.573513i	0.498665	+	0.866795i	$0.333824\pi$
$648$	−6.08722	+	12.6402i	−0.239129	+	0.496556i
$649$	15.1729	−	12.1000i	0.595589	−	0.474966i
$650$			22.9223i			0.899086i
$651$	22.3992	+	28.0877i	0.877892	+	1.10084i
$652$	6.93814	−	1.58359i	0.271719	−	0.0620180i
$653$	25.9896	−	5.93195i	1.01705	−	0.232135i	0.318673	−	0.947865i	$-0.396763\pi$
$653$	25.9896	−	5.93195i	1.01705	−	0.232135i	0.698378	+	0.715729i	$0.253906\pi$
$654$	16.7424	+	20.9943i	0.654678	+	0.820941i
$655$		−	4.95155i		−	0.193473i
$656$	−16.1077	+	12.8455i	−0.628901	+	0.501532i
$657$	−20.1526	+	41.8473i	−0.786228	+	1.63262i
$658$	0.591611	−	0.741857i	0.0230634	−	0.0289206i
$659$	21.5477	+	17.1838i	0.839381	+	0.669384i	0.945733	−	0.324945i	$-0.105346\pi$
$659$	21.5477	+	17.1838i	0.839381	+	0.669384i	−0.106352	+	0.994329i	$0.533917\pi$
$660$	−0.704261	+	0.339154i	−0.0274133	+	0.0132016i
$661$	6.25596	+	27.4092i	0.243329	+	1.06609i	0.937965	+	0.346731i	$0.112708\pi$
$661$	6.25596	+	27.4092i	0.243329	+	1.06609i	−0.694636	+	0.719361i	$0.744435\pi$
$662$	−0.966050	+	4.23254i	−0.0375466	+	0.164502i
$663$	−23.0465	−	11.0986i	−0.895053	−	0.431035i
$664$	−2.63808	−	5.47803i	−0.102377	−	0.212589i
$665$	3.46546	+	0.790969i	0.134385	+	0.0306725i
$666$	−61.9222			−2.39943
$667$		0			0
$668$	4.31080			0.166790
$669$	32.6234	+	7.44609i	1.26129	+	0.287882i
$670$	3.71709	+	7.71861i	0.143604	+	0.298196i
$671$	−2.49157	−	1.19988i	−0.0961860	−	0.0463207i
$672$	−4.97552	+	21.7992i	−0.191935	+	0.840921i
$673$	−3.18504	−	13.9546i	−0.122774	−	0.537908i	−0.998483	−	0.0550683i	$-0.982462\pi$
$673$	−3.18504	−	13.9546i	−0.122774	−	0.537908i	0.875709	−	0.482840i	$-0.160395\pi$
$674$	−26.9262	+	12.9670i	−1.03716	+	0.499469i
$675$	−28.7308	−	22.9121i	−1.10585	−	0.881886i
$676$	0.866814	−	1.08695i	0.0333390	−	0.0418058i
$677$	15.4271	−	32.0348i	0.592913	−	1.23120i	−0.361406	−	0.932408i	$-0.617703\pi$
$677$	15.4271	−	32.0348i	0.592913	−	1.23120i	0.954319	−	0.298788i	$-0.0965824\pi$
$678$	−41.2083	+	32.8625i	−1.58260	+	1.26208i
$679$		−	16.0690i		−	0.616673i
$680$	1.98265	+	2.48617i	0.0760312	+	0.0953402i
$681$	54.0642	−	12.3398i	2.07175	−	0.472862i
$682$	−7.93474	+	1.81105i	−0.303837	+	0.0693488i
$683$	2.51629	+	3.15533i	0.0962833	+	0.120735i	0.827639	−	0.561261i	$-0.189683\pi$
$683$	2.51629	+	3.15533i	0.0962833	+	0.120735i	−0.731356	+	0.681996i	$0.761112\pi$
$684$		−	5.14904i		−	0.196879i
$685$	4.06498	−	3.24171i	0.155315	−	0.123859i
$686$	5.39108	−	11.1947i	0.205832	−	0.427416i
$687$	44.6983	−	56.0498i	1.70534	−	2.13843i
$688$	−14.9659	−	11.9349i	−0.570568	−	0.455013i
$689$	−8.58055	+	4.13218i	−0.326893	+	0.157423i
$690$	0.245496	+	1.07559i	0.00934587	+	0.0409469i
$691$	−7.27735	+	31.8842i	−0.276844	+	1.21293i	0.624916	+	0.780692i	$0.285133\pi$
$691$	−7.27735	+	31.8842i	−0.276844	+	1.21293i	−0.901759	+	0.432239i	$0.857724\pi$
$692$	−1.84010	−	0.886146i	−0.0699502	−	0.0336862i
$693$	−12.1741	−	25.2798i	−0.462456	−	0.960300i
$694$	44.3545	+	10.1236i	1.68367	+	0.384287i
$695$	8.67766			0.329162
$696$		0			0
$697$	12.5384			0.474927
$698$	12.8652	+	2.93640i	0.486955	+	0.111144i
$699$	25.7874	+	53.5480i	0.975368	+	2.02537i
$700$	−5.90036	−	2.84147i	−0.223013	−	0.107397i
$701$	−3.88857	+	17.0369i	−0.146869	+	0.643476i	0.846875	+	0.531793i	$0.178481\pi$
$701$	−3.88857	+	17.0369i	−0.146869	+	0.643476i	−0.993744	+	0.111684i	$0.964376\pi$
$702$	−8.15723	−	35.7392i	−0.307875	−	1.34889i
$703$	−14.7075	+	7.08276i	−0.554704	+	0.267131i
$704$	6.66749	+	5.31715i	0.251291	+	0.200398i
$705$	0.149165	−	0.187047i	0.00561787	−	0.00704458i
$706$	17.5456	−	36.4339i	0.660339	−	1.37121i
$707$	37.4217	−	29.8428i	1.40739	−	1.12235i
$708$			15.5631i			0.584898i
$709$	−3.21692	−	4.03389i	−0.120814	−	0.151496i	0.717746	−	0.696305i	$-0.245174\pi$
$709$	−3.21692	−	4.03389i	−0.120814	−	0.151496i	−0.838560	+	0.544809i	$0.816602\pi$
$710$	3.09794	−	0.707085i	0.116264	−	0.0265364i
$711$	−75.7036	+	17.2788i	−2.83911	+	0.648007i
$712$	20.8487	+	26.1434i	0.781337	+	0.979766i
$713$			1.91554i			0.0717375i
$714$	34.2640	−	27.3247i	1.28230	−	1.02260i
$715$	−0.891186	+	1.85057i	−0.0333285	+	0.0692073i
$716$	2.14374	−	2.68816i	0.0801152	−	0.100461i
$717$	15.2103	+	12.1298i	0.568039	+	0.452996i
$718$	−7.77598	+	3.74471i	−0.290197	+	0.139751i
$719$	4.74333	+	20.7819i	0.176897	+	0.775034i	0.983051	+	0.183330i	$0.0586876\pi$
$719$	4.74333	+	20.7819i	0.176897	+	0.775034i	−0.806155	+	0.591705i	$0.798455\pi$
$720$	−2.63284	+	11.5352i	−0.0981202	+	0.429893i
$721$	26.4690	+	12.7468i	0.985757	+	0.474715i
$722$	9.24007	+	19.1872i	0.343880	+	0.714073i
$723$	3.25648	+	0.743270i	0.121110	+	0.0276425i
$724$	−3.72728			−0.138523
$725$		0			0
$726$	−40.2583			−1.49412
$727$	−13.0337	−	2.97487i	−0.483395	−	0.110332i	−0.0261230	−	0.999659i	$-0.508316\pi$
$727$	−13.0337	−	2.97487i	−0.483395	−	0.110332i	−0.457272	+	0.889327i	$0.651173\pi$
$728$	11.3290	+	23.5248i	0.419879	+	0.871889i
$729$	−32.1855	−	15.4997i	−1.19206	−	0.574064i
$730$	−1.29625	+	5.67925i	−0.0479764	+	0.210199i
$731$	2.59227	+	11.3575i	0.0958787	+	0.420072i
$732$	1.99808	−	0.962227i	0.0738513	−	0.0355649i
$733$	9.06052	+	7.22553i	0.334658	+	0.266881i	0.776372	−	0.630275i	$-0.217058\pi$
$733$	9.06052	+	7.22553i	0.334658	+	0.266881i	−0.441714	+	0.897156i	$0.645629\pi$
$734$	4.89238	−	6.13485i	0.180581	−	0.226442i
$735$	−2.69021	+	5.58628i	−0.0992299	+	0.206053i
$736$	−0.932114	+	0.743336i	−0.0343582	+	0.0273997i
$737$		−	17.8274i		−	0.656681i
$738$	24.0697	+	30.1824i	0.886017	+	1.11103i
$739$	1.25540	−	0.286538i	0.0461808	−	0.0105405i	−0.199368	−	0.979925i	$-0.563889\pi$
$739$	1.25540	−	0.286538i	0.0461808	−	0.0105405i	0.245549	+	0.969384i	$0.421032\pi$
$740$	−1.26259	+	0.288177i	−0.0464136	+	0.0105936i
$741$	−12.9451	−	16.2327i	−0.475551	−	0.596322i
$742$		−	16.3168i		−	0.599009i
$743$	−7.72216	+	6.15822i	−0.283299	+	0.225923i	−0.754821	−	0.655931i	$-0.772276\pi$
$743$	−7.72216	+	6.15822i	−0.283299	+	0.225923i	0.471522	+	0.881854i	$0.343705\pi$
$744$	−11.3184	+	23.5029i	−0.414953	+	0.861659i
$745$	−6.79004	+	8.51444i	−0.248768	+	0.311945i
$746$	0.562249	+	0.448379i	0.0205854	+	0.0164163i
$747$	−12.4046	+	5.97375i	−0.453861	+	0.218568i
$748$	0.368414	+	1.61413i	0.0134705	+	0.0590183i
$749$	−3.90114	+	17.0920i	−0.142545	+	0.624529i
$750$	−18.2267	−	8.77752i	−0.665545	−	0.320510i
$751$	−9.42062	−	19.5621i	−0.343763	−	0.713832i	0.655376	−	0.755302i	$-0.272510\pi$
$751$	−9.42062	−	19.5621i	−0.343763	−	0.713832i	−0.999140	+	0.0414706i	$0.986796\pi$
$752$	0.811761	+	0.185279i	0.0296019	+	0.00675643i
$753$	77.2592			2.81548
$754$		0			0
$755$	−3.68086			−0.133960
$756$	10.2107	+	2.33052i	0.371359	+	0.0847604i
$757$	−10.2601	−	21.3054i	−0.372911	−	0.774358i	0.627078	−	0.778956i	$-0.284251\pi$
$757$	−10.2601	−	21.3054i	−0.372911	−	0.774358i	−0.999989	+	0.00459848i	$0.998536\pi$
$758$	−3.29797	−	1.58822i	−0.119788	−	0.0576867i
$759$	0.510861	−	2.23823i	0.0185431	−	0.0812426i
$760$	0.574340	+	2.51635i	0.0208335	+	0.0912775i
$761$	45.7049	−	22.0103i	1.65680	−	0.797874i	0.657801	−	0.753192i	$-0.271487\pi$
$761$	45.7049	−	22.0103i	1.65680	−	0.797874i	0.999001	−	0.0446823i	$-0.0142276\pi$
$762$	−58.5313	−	46.6772i	−2.12037	−	1.69094i
$763$	−12.5689	+	15.7610i	−0.455026	+	0.570585i
$764$	2.15711	−	4.47929i	0.0780415	−	0.162055i
$765$	5.62975	−	4.48957i	0.203544	−	0.162321i
$766$			38.5921i			1.39439i
$767$	25.4974	+	31.9728i	0.920660	+	1.15447i
$768$	−26.4567	+	6.03858i	−0.954676	+	0.217898i
$769$	−16.2404	+	3.70677i	−0.585645	+	0.133670i	−0.505069	−	0.863079i	$-0.668533\pi$
$769$	−16.2404	+	3.70677i	−0.585645	+	0.133670i	−0.0805756	+	0.996748i	$0.525676\pi$
$770$	−2.19409	−	2.75130i	−0.0790694	−	0.0991499i
$771$		−	50.8784i		−	1.83234i
$772$	−6.29893	+	5.02323i	−0.226703	+	0.180790i
$773$	14.7799	−	30.6907i	0.531595	−	1.10387i	−0.446321	−	0.894873i	$-0.647266\pi$
$773$	14.7799	−	30.6907i	0.531595	−	1.10387i	0.977916	−	0.208996i	$-0.0670196\pi$
$774$	−22.3634	+	28.0428i	−0.803835	+	1.00798i
$775$	−13.4415	−	10.7192i	−0.482833	−	0.385047i
$776$	10.5126	−	5.06259i	0.377380	−	0.181736i
$777$	−15.8737	−	69.5473i	−0.569466	−	2.49499i
$778$	−4.15076	+	18.1857i	−0.148812	+	0.651989i
$779$	9.16925	+	4.41568i	0.328522	+	0.158208i
$780$	−0.714676	−	1.48404i	−0.0255895	−	0.0531371i
$781$	−6.44661	−	1.47140i	−0.230678	−	0.0526507i
$782$	2.33676			0.0835624
$783$		0			0
$784$	−21.5790			−0.770680
$785$	1.62202	+	0.370214i	0.0578922	+	0.0132135i
$786$	−21.4997	−	44.6446i	−0.766869	−	1.59242i
$787$	0.356132	+	0.171504i	0.0126947	+	0.00611346i	0.440220	−	0.897890i	$-0.354900\pi$
$787$	0.356132	+	0.171504i	0.0126947	+	0.00611346i	−0.427526	+	0.904003i	$0.640615\pi$
$788$	−0.778697	+	3.41169i	−0.0277399	+	0.121537i
$789$	3.28219	+	14.3802i	0.116849	+	0.511949i
$790$	−8.77434	+	4.22550i	−0.312177	+	0.150336i
$791$	−30.9362	−	24.6708i	−1.09996	−	0.877193i
$792$	12.7029	−	15.9289i	0.451378	−	0.566010i
$793$	2.52841	−	5.25031i	0.0897866	−	0.186444i
$794$	−31.5556	+	25.1648i	−1.11987	+	0.893064i
$795$		−	4.11401i		−	0.145909i
$796$	−3.55166	−	4.45364i	−0.125885	−	0.157855i
$797$	−28.8663	+	6.58853i	−1.02250	+	0.233378i	−0.700719	−	0.713438i	$-0.747137\pi$
$797$	−28.8663	+	6.58853i	−1.02250	+	0.233378i	−0.321777	+	0.946816i	$0.604280\pi$
$798$	34.6800	−	7.91548i	1.22766	−	0.280205i
$799$	−0.315942	−	0.396178i	−0.0111772	−	0.0140158i
$800$		−	10.7004i		−	0.378316i
$801$	59.1999	−	47.2103i	2.09172	−	1.66809i
$802$	−18.5116	+	38.4397i	−0.653667	+	1.35735i
$803$	7.55800	−	9.47743i	0.266716	−	0.334451i
$804$	11.1774	+	8.91371i	0.394198	+	0.314362i
$805$	−0.746217	+	0.359359i	−0.0263007	+	0.0126657i
$806$	−3.81630	−	16.7203i	−0.134423	−	0.588948i
$807$	14.2894	−	62.6060i	0.503011	−	2.20384i
$808$	31.3134	+	15.0797i	1.10160	+	0.530503i
$809$	3.88170	+	8.06043i	0.136473	+	0.283390i	0.957994	−	0.286790i	$-0.0925880\pi$
$809$	3.88170	+	8.06043i	0.136473	+	0.283390i	−0.821520	+	0.570179i	$0.806874\pi$
$810$	3.88452	+	0.886617i	0.136488	+	0.0311525i
$811$	18.3209			0.643333			0.321667	−	0.946853i	$-0.395757\pi$
$811$	18.3209			0.643333			0.321667	+	0.946853i	$0.395757\pi$
$812$		0			0
$813$	−22.9035			−0.803262
$814$	15.7557	+	3.59614i	0.552237	+	0.126045i
$815$	3.50489	+	7.27797i	0.122771	+	0.254936i
$816$	34.6485	+	16.6858i	1.21294	+	0.584120i
$817$	−2.10408	+	9.21857i	−0.0736124	+	0.322517i
$818$	6.17064	+	27.0354i	0.215751	+	0.945269i
$819$	53.2703	−	25.6536i	1.86142	−	0.896410i
$820$	0.631242	+	0.503399i	0.0220439	+	0.0175794i
$821$	31.7046	−	39.7563i	1.10650	−	1.38750i	0.192738	−	0.981250i	$-0.438263\pi$
$821$	31.7046	−	39.7563i	1.10650	−	1.38750i	0.913760	−	0.406255i	$-0.133165\pi$
$822$	22.5754	−	46.8784i	0.787409	−	1.63507i
$823$	−0.262275	+	0.209158i	−0.00914235	+	0.00729078i	−0.628050	−	0.778173i	$-0.716147\pi$
$823$	−0.262275	+	0.209158i	−0.00914235	+	0.00729078i	0.618908	+	0.785464i	$0.287575\pi$
$824$			21.3323i			0.743145i
$825$	12.8471	+	16.1098i	0.447279	+	0.560870i
$826$	−68.3077	+	15.5908i	−2.37673	+	0.542473i
$827$	24.7325	−	5.64503i	0.860033	−	0.196297i	0.230311	−	0.973117i	$-0.426026\pi$
$827$	24.7325	−	5.64503i	0.860033	−	0.196297i	0.629723	+	0.776820i	$0.283169\pi$
$828$	0.748036	+	0.938008i	0.0259961	+	0.0325980i
$829$			46.0845i			1.60058i	0.599613	+	0.800290i	$0.295321\pi$
$829$			46.0845i			1.60058i	−0.599613	+	0.800290i	$0.704679\pi$
$830$	−1.35004	+	1.07662i	−0.0468606	+	0.0373701i
$831$	−2.30842	+	4.79348i	−0.0800781	+	0.166284i
$832$	−11.2044	+	14.0499i	−0.388444	+	0.487094i
$833$	10.2676	+	8.18810i	0.355750	+	0.283701i
$834$	78.2403	−	37.6785i	2.70924	−	1.30470i
$835$	1.08883	+	4.77047i	0.0376804	+	0.165089i
$836$	−0.299031	+	1.31014i	−0.0103422	+	0.0453122i
$837$	24.7719	+	11.9295i	0.856241	+	0.412344i
$838$	1.82052	+	3.78035i	0.0628889	+	0.130590i
$839$	−27.3134	−	6.23410i	−0.942963	−	0.215225i	−0.276712	−	0.960953i	$-0.589245\pi$
$839$	−27.3134	−	6.23410i	−0.942963	−	0.215225i	−0.666251	+	0.745728i	$0.732102\pi$
$840$	−11.2791			−0.389168
$841$		0			0
$842$	−21.5820			−0.743764
$843$	36.6177	+	8.35775i	1.26118	+	0.287856i
$844$	0.140316	+	0.291369i	0.00482988	+	0.0100293i
$845$	1.42179	+	0.684700i	0.0489112	+	0.0235544i
$846$	0.347173	−	1.52106i	0.0119361	−	0.0522953i
$847$	−6.72524	−	29.4652i	−0.231082	−	1.01244i
$848$	12.9001	−	6.21237i	0.442992	−	0.213334i
$849$	46.8691	+	37.3768i	1.60854	+	1.28277i
$850$	−13.0764	+	16.3973i	−0.448516	+	0.562421i
$851$	1.65033	−	3.42694i	0.0565724	−	0.117474i
$852$	4.14584	−	3.30620i	0.142034	−	0.113269i
$853$			24.6397i			0.843646i	0.906678	+	0.421823i	$0.138610\pi$
$853$			24.6397i			0.843646i	−0.906678	+	0.421823i	$0.861390\pi$
$854$	6.22492	+	7.80581i	0.213013	+	0.267109i
$855$	5.69809	−	1.30055i	0.194870	−	0.0444779i
$856$	−12.4109	+	2.83271i	−0.424196	+	0.0968199i
$857$	−27.5007	−	34.4848i	−0.939408	−	1.17798i	−0.983855	−	0.178968i	$-0.942724\pi$
$857$	−27.5007	−	34.4848i	−0.939408	−	1.17798i	0.0444473	−	0.999012i	$-0.485847\pi$
$858$			20.5548i			0.701729i
$859$	6.55521	−	5.22760i	0.223661	−	0.178364i	−0.505248	−	0.862974i	$-0.668599\pi$
$859$	6.55521	−	5.22760i	0.223661	−	0.178364i	0.728909	+	0.684610i	$0.240028\pi$
$860$	−0.325479	+	0.675865i	−0.0110988	+	0.0230468i
$861$	−27.7288	+	34.7708i	−0.944996	+	1.18499i
$862$	−15.9035	−	12.6826i	−0.541675	−	0.431972i
$863$	34.3526	−	16.5433i	1.16938	−	0.563141i	0.254577	−	0.967053i	$-0.418064\pi$
$863$	34.3526	−	16.5433i	1.16938	−	0.563141i	0.914798	+	0.403911i	$0.132349\pi$
$864$	3.80789	+	16.6835i	0.129547	+	0.567583i
$865$	0.515861	−	2.26014i	0.0175398	−	0.0768470i
$866$	7.87317	+	3.79152i	0.267541	+	0.128841i
$867$	11.4914	+	23.8622i	0.390269	+	0.810401i
$868$	4.77700	+	1.09032i	0.162142	+	0.0370079i
$869$	20.2658			0.687469
$870$		0			0
$871$	37.5664			1.27289
$872$	−14.2709	−	3.25724i	−0.483274	−	0.110304i
$873$	−11.4639	−	23.8050i	−0.387993	−	0.805677i
$874$	1.70885	+	0.822941i	0.0578028	+	0.0278364i
$875$	3.37949	−	14.8065i	0.114248	−	0.500552i
$876$	2.16316	+	9.47743i	0.0730864	+	0.320213i
$877$	22.1065	−	10.6460i	0.746485	−	0.359488i	−0.0216589	−	0.999765i	$-0.506895\pi$
$877$	22.1065	−	10.6460i	0.746485	−	0.359488i	0.768144	+	0.640277i	$0.221181\pi$
$878$	29.4410	+	23.4784i	0.993587	+	0.792359i
$879$	11.3234	−	14.1990i	0.381927	−	0.478922i
$880$	1.33982	−	2.78217i	0.0451653	−	0.0937868i
$881$	−41.2787	+	32.9187i	−1.39071	+	1.10906i	−0.410336	+	0.911934i	$0.634589\pi$
$881$	−41.2787	+	32.9187i	−1.39071	+	1.10906i	−0.980379	+	0.197124i	$0.936840\pi$
$882$			40.4344i			1.36150i
$883$	3.56366	+	4.46869i	0.119927	+	0.150383i	0.838171	−	0.545408i	$-0.183625\pi$
$883$	3.56366	+	4.46869i	0.119927	+	0.150383i	−0.718244	+	0.695791i	$0.755054\pi$
$884$	−3.40133	+	0.776331i	−0.114399	+	0.0261109i
$885$	−17.2226	+	3.93095i	−0.578932	+	0.132137i
$886$	10.5692	+	13.2534i	0.355081	+	0.445257i
$887$		−	34.2192i		−	1.14897i	−0.818515	−	0.574485i	$-0.805202\pi$
$887$		−	34.2192i		−	1.14897i	0.818515	−	0.574485i	$-0.194798\pi$
$888$	40.4977	−	32.2958i	1.35901	−	1.08378i
$889$	24.3854	−	50.6369i	0.817861	−	1.69831i
$890$	5.92104	−	7.42474i	0.198474	−	0.248878i
$891$	−6.48242	−	5.16955i	−0.217169	−	0.173187i
$892$	4.11195	−	1.98021i	0.137678	−	0.0663023i
$893$	−0.0915228	−	0.400988i	−0.00306269	−	0.0134185i
$894$	−24.2511	+	106.251i	−0.811078	+	3.55357i
$895$	3.51627	+	1.69335i	0.117536	+	0.0566023i
$896$	−19.9704	−	41.4689i	−0.667164	−	1.38538i
$897$	4.71646	+	1.07650i	0.157478	+	0.0359433i
$898$	−3.79455			−0.126626
$899$		0			0
$900$	−10.7681			−0.358935
$901$	−8.49529	−	1.93899i	−0.283019	−	0.0645973i
$902$	−4.37153	−	9.07758i	−0.145556	−	0.302250i
$903$	−37.2288	−	17.9284i	−1.23890	−	0.596621i
$904$	6.39344	−	28.0115i	0.212643	−	0.931648i
$905$	−0.941440	−	4.12472i	−0.0312945	−	0.137110i
$906$	−33.1877	+	15.9823i	−1.10259	+	0.530978i
$907$	−36.8123	−	29.3568i	−1.22233	−	0.974776i	−0.222331	−	0.974971i	$-0.571367\pi$
$907$	−36.8123	−	29.3568i	−1.22233	−	0.974776i	−1.00000		0.000194848i	$0.999938\pi$
$908$	4.71571	−	5.91332i	0.156496	−	0.196240i
$909$	34.1469	−	70.9069i	1.13258	−	2.35183i
$910$	5.79761	−	4.62344i	0.192189	−	0.153266i
$911$		−	49.7296i		−	1.64761i	−0.566870	−	0.823807i	$-0.691846\pi$
$911$		−	49.7296i		−	1.64761i	0.566870	−	0.823807i	$-0.308154\pi$
$912$	19.4619	+	24.4044i	0.644447	+	0.808111i
$913$	3.50320	−	0.799583i	0.115939	−	0.0264623i
$914$	−31.0669	+	7.09082i	−1.02760	+	0.234544i
$915$	1.56951	+	1.96810i	0.0518864	+	0.0650634i
$916$		−	9.77782i		−	0.323068i
$917$	29.0840	−	23.1937i	0.960438	−	0.765924i
$918$	14.5528	−	30.2191i	0.480313	−	0.997379i
$919$	−3.57460	+	4.48240i	−0.117915	+	0.147861i	−0.837286	−	0.546766i	$-0.815859\pi$
$919$	−3.57460	+	4.48240i	−0.117915	+	0.147861i	0.719371	+	0.694626i	$0.244430\pi$
$920$	−0.470195	−	0.374968i	−0.0155019	−	0.0123623i
$921$	−8.30225	+	3.99815i	−0.273568	+	0.131744i
$922$	5.81496	+	25.4770i	0.191506	+	0.839041i
$923$	3.10057	−	13.5845i	0.102057	−	0.447139i
$924$	−5.29095	−	2.54799i	−0.174060	−	0.0838226i
$925$	14.8120	+	30.7574i	0.487015	+	1.01130i
$926$	−18.7069	−	4.26972i	−0.614746	−	0.140312i
$927$	48.3054			1.58656
$928$		0			0
$929$	−7.62389			−0.250132			−0.125066	−	0.992148i	$-0.539914\pi$
$929$	−7.62389			−0.250132			−0.125066	+	0.992148i	$0.539914\pi$
$930$	7.22277	+	1.64855i	0.236844	+	0.0540581i
$931$	4.62496	+	9.60383i	0.151577	+	0.314753i
$932$	7.30338	+	3.51712i	0.239230	+	0.115207i
$933$	4.69591	−	20.5741i	0.153737	−	0.673566i
$934$	−8.74723	−	38.3241i	−0.286218	−	1.25400i
$935$	−1.69319	+	0.815396i	−0.0553731	+	0.0266663i
$936$	33.5659	+	26.7679i	1.09714	+	0.874936i
$937$	−10.1543	+	12.7331i	−0.331728	+	0.415974i	−0.919523	−	0.393036i	$-0.871425\pi$
$937$	−10.1543	+	12.7331i	−0.331728	+	0.415974i	0.587795	+	0.809010i	$0.299996\pi$
$938$	−27.9256	+	57.9882i	−0.911804	+	1.89338i
$939$	−4.76561	+	3.80045i	−0.155520	+	0.124023i
$940$		−	0.0326300i		−	0.00106427i
$941$	−22.5124	−	28.2297i	−0.733885	−	0.920262i	0.265149	−	0.964207i	$-0.414579\pi$
$941$	−22.5124	−	28.2297i	−0.733885	−	0.920262i	−0.999034	+	0.0439450i	$0.986007\pi$
$942$	16.2320	−	3.70486i	0.528868	−	0.120711i
$943$	−2.31187	+	0.527669i	−0.0752848	+	0.0171833i
$944$	−38.3332	−	48.0683i	−1.24764	−	1.56449i
$945$			11.8881i			0.386721i
$946$	7.31881	−	5.83656i	0.237955	−	0.189763i
$947$	−4.84024	+	10.0509i	−0.157287	+	0.326609i	−0.964689	−	0.263392i	$-0.915159\pi$
$947$	−4.84024	+	10.0509i	−0.157287	+	0.326609i	0.807402	+	0.590002i	$0.200873\pi$
$948$	−10.1329	+	12.7062i	−0.329101	+	0.412680i
$949$	19.9711	+	15.9264i	0.648289	+	0.516993i
$950$	−15.3373	+	7.38605i	−0.497608	+	0.239635i
$951$	−4.04445	−	17.7199i	−0.131150	−	0.574606i
$952$	−5.31604	+	23.2911i	−0.172294	+	0.754868i
$953$	41.6558	+	20.0604i	1.34936	+	0.649820i	0.962239	−	0.272207i	$-0.0877535\pi$
$953$	41.6558	+	20.0604i	1.34936	+	0.649820i	0.387126	+	0.922027i	$0.373468\pi$
$954$	−11.6406	−	24.1720i	−0.376880	−	0.782598i
$955$	5.50176	+	1.25574i	0.178033	+	0.0406348i
$956$	2.65342			0.0858176
$957$		0			0
$958$	23.6294			0.763431
$959$	38.0818	+	8.69192i	1.22972	+	0.280677i
$960$	−3.36817	−	6.99407i	−0.108707	−	0.225733i
$961$	−16.3407	−	7.86926i	−0.527119	−	0.253847i
$962$	−7.57788	+	33.2009i	−0.244321	+	1.07044i
$963$	6.41446	+	28.1036i	0.206703	+	0.905625i
$964$	0.410456	−	0.197665i	0.0132199	−	0.00636636i
$965$	−7.14985	−	5.70181i	−0.230162	−	0.183548i
$966$	−5.16776	+	6.48017i	−0.166270	+	0.208496i
$967$	−16.7042	+	34.6867i	−0.537172	+	1.11545i	0.439007	+	0.898484i	$0.355330\pi$
$967$	−16.7042	+	34.6867i	−0.537172	+	1.11545i	−0.976179	+	0.216966i	$0.930384\pi$
$968$	17.1577	−	13.6828i	0.551470	−	0.439783i
$969$		−	18.9966i		−	0.610260i
$970$	−2.06608	−	2.59079i	−0.0663380	−	0.0831852i
$971$	45.7586	−	10.4441i	1.46846	−	0.335167i	0.587837	−	0.808979i	$-0.299979\pi$
$971$	45.7586	−	10.4441i	1.46846	−	0.335167i	0.880626	+	0.473812i	$0.157122\pi$
$972$	−2.49202	+	0.568788i	−0.0799317	+	0.0182439i
$973$	40.6473	+	50.9701i	1.30309	+	1.63403i
$974$			0.819869i			0.0262703i
$975$	−33.9469	+	27.0718i	−1.08717	+	0.866991i
$976$	−3.80125	+	7.89338i	−0.121675	+	0.252661i
$977$	17.8151	−	22.3394i	0.569956	−	0.714702i	−0.410407	−	0.911902i	$-0.634613\pi$
$977$	17.8151	−	22.3394i	0.569956	−	0.714702i	0.980363	+	0.197200i	$0.0631849\pi$
$978$	63.2022	+	50.4020i	2.02098	+	1.61168i
$979$	−17.8048	+	8.57433i	−0.569044	+	0.274037i
$980$	0.188176	+	0.824453i	0.00601107	+	0.0263362i
$981$	−7.37579	+	32.3154i	−0.235491	+	1.03175i
$982$	−26.7294	−	12.8722i	−0.852968	−	0.410768i
$983$	−16.9045	−	35.1025i	−0.539169	−	1.11960i	−0.975539	−	0.219829i	$-0.929450\pi$
$983$	−16.9045	−	35.1025i	−0.539169	−	1.11960i	0.436369	−	0.899768i	$-0.356264\pi$
$984$	−31.4836	−	7.18592i	−1.00366	−	0.229079i
$985$	−3.97217			−0.126564
$986$		0			0
$987$	1.79737			0.0572108
$988$	−2.76077	−	0.630127i	−0.0878317	−	0.0200470i
$989$	−0.955942	−	1.98503i	−0.0303972	−	0.0631204i
$990$	−5.21318	−	2.51053i	−0.165686	−	0.0797900i
$991$	−0.0727488	+	0.318733i	−0.00231094	+	0.0101249i	−0.976070	−	0.217455i	$-0.930224\pi$
$991$	−0.0727488	+	0.318733i	−0.00231094	+	0.0101249i	0.973759	+	0.227580i	$0.0730814\pi$
$992$	1.78150	+	7.80524i	0.0565626	+	0.247817i
$993$	−7.40915	+	3.56806i	−0.235122	+	0.113229i
$994$	18.6644	+	14.8843i	0.591998	+	0.472103i
$995$	4.03145	−	5.05528i	0.127806	−	0.160263i
$996$	−1.25028	+	2.59623i	−0.0396166	+	0.0822647i
$997$	18.0682	−	14.4089i	0.572227	−	0.456336i	−0.294127	−	0.955766i	$-0.595029\pi$
$997$	18.0682	−	14.4089i	0.572227	−	0.456336i	0.866354	+	0.499431i	$0.166457\pi$
$998$			21.1341i			0.668988i
$999$	−34.0395	−	42.6842i	−1.07696	−	1.35047i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	841.2.e.h.236.2		12
29.2	odd	28		841.2.d.k.190.4		24
29.3	odd	28		841.2.d.l.645.4		24
29.4	even	14		29.2.e.a.6.2	yes	12
29.5	even	14		841.2.e.e.651.2		12
29.6	even	14		841.2.b.e.840.10		12
29.7	even	7		841.2.e.a.196.1		12
29.8	odd	28		841.2.d.m.778.4		24
29.9	even	14		841.2.e.i.63.1		12
29.10	odd	28		841.2.d.m.574.4		24
29.11	odd	28		841.2.d.k.571.4		24
29.12	odd	4		841.2.d.l.605.1		24
29.13	even	14		841.2.e.f.270.1		12
29.14	odd	28		841.2.a.k.1.3		12
29.15	odd	28		841.2.a.k.1.10		12
29.16	even	7		841.2.e.e.270.2		12
29.17	odd	4		841.2.d.l.605.4		24
29.18	odd	28		841.2.d.k.571.1		24
29.19	odd	28		841.2.d.m.574.1		24
29.20	even	7		29.2.e.a.5.2	✓	12
29.21	odd	28		841.2.d.m.778.1		24
29.22	even	14	inner	841.2.e.h.196.2		12
29.23	even	7		841.2.b.e.840.3		12
29.24	even	7		841.2.e.f.651.1		12
29.25	even	7		841.2.e.i.267.1		12
29.26	odd	28		841.2.d.l.645.1		24
29.27	odd	28		841.2.d.k.190.1		24
29.28	even	2		841.2.e.a.236.1		12
87.14	even	28		7569.2.a.bp.1.10		12
87.20	odd	14		261.2.o.a.208.1		12
87.44	even	28		7569.2.a.bp.1.3		12
87.62	odd	14		261.2.o.a.64.1		12
116.91	odd	14		464.2.y.d.209.2		12
116.107	odd	14		464.2.y.d.353.2		12
145.4	even	14		725.2.q.a.151.1		12
145.33	odd	28		725.2.p.a.499.4		24
145.49	even	14		725.2.q.a.701.1		12
145.62	odd	28		725.2.p.a.499.1		24
145.78	odd	28		725.2.p.a.324.1		24
145.107	odd	28		725.2.p.a.324.4		24

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
29.2.e.a.5.2	✓	12	29.20	even	7
29.2.e.a.6.2	yes	12	29.4	even	14
261.2.o.a.64.1		12	87.62	odd	14
261.2.o.a.208.1		12	87.20	odd	14
464.2.y.d.209.2		12	116.91	odd	14
464.2.y.d.353.2		12	116.107	odd	14
725.2.p.a.324.1		24	145.78	odd	28
725.2.p.a.324.4		24	145.107	odd	28
725.2.p.a.499.1		24	145.62	odd	28
725.2.p.a.499.4		24	145.33	odd	28
725.2.q.a.151.1		12	145.4	even	14
725.2.q.a.701.1		12	145.49	even	14
841.2.a.k.1.3		12	29.14	odd	28
841.2.a.k.1.10		12	29.15	odd	28
841.2.b.e.840.3		12	29.23	even	7
841.2.b.e.840.10		12	29.6	even	14
841.2.d.k.190.1		24	29.27	odd	28
841.2.d.k.190.4		24	29.2	odd	28
841.2.d.k.571.1		24	29.18	odd	28
841.2.d.k.571.4		24	29.11	odd	28
841.2.d.l.605.1		24	29.12	odd	4
841.2.d.l.605.4		24	29.17	odd	4
841.2.d.l.645.1		24	29.26	odd	28
841.2.d.l.645.4		24	29.3	odd	28
841.2.d.m.574.1		24	29.19	odd	28
841.2.d.m.574.4		24	29.10	odd	28
841.2.d.m.778.1		24	29.21	odd	28
841.2.d.m.778.4		24	29.8	odd	28
841.2.e.a.196.1		12	29.7	even	7
841.2.e.a.236.1		12	29.28	even	2
841.2.e.e.270.2		12	29.16	even	7
841.2.e.e.651.2		12	29.5	even	14
841.2.e.f.270.1		12	29.13	even	14
841.2.e.f.651.1		12	29.24	even	7
841.2.e.h.196.2		12	29.22	even	14	inner
841.2.e.h.236.2		12	1.1	even	1	trivial
841.2.e.i.63.1		12	29.9	even	14
841.2.e.i.267.1		12	29.25	even	7
7569.2.a.bp.1.3		12	87.44	even	28
7569.2.a.bp.1.10		12	87.14	even	28

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:	\( N \)	\(=\)	\( 841 = 29^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	841.e (of order \(14\), degree \(6\), not minimal)

\(f(q)\)	\(=\)	\(q+(1.51043 + 0.344746i) q^{2} +(1.27330 + 2.64404i) q^{3} +(0.360619 + 0.173665i) q^{4} +(-0.101097 + 0.442937i) q^{5} +(1.01172 + 4.43261i) q^{6} +(-3.07524 + 1.48096i) q^{7} +(-1.93773 - 1.54528i) q^{8} +(-3.49918 + 4.38784i) q^{9} +O(q^{10})\)	\(q+(1.51043 + 0.344746i) q^{2} +(1.27330 + 2.64404i) q^{3} +(0.360619 + 0.173665i) q^{4} +(-0.101097 + 0.442937i) q^{5} +(1.01172 + 4.43261i) q^{6} +(-3.07524 + 1.48096i) q^{7} +(-1.93773 - 1.54528i) q^{8} +(-3.49918 + 4.38784i) q^{9} +(-0.305402 + 0.634173i) q^{10} +(1.14517 - 0.913243i) q^{11} +1.17462i q^{12} +(1.92441 + 2.41314i) q^{13} +(-5.15550 + 1.17671i) q^{14} +(-1.29987 + 0.296687i) q^{15} +(-2.89319 - 3.62794i) q^{16} +2.82403i q^{17} +(-6.79798 + 5.42120i) q^{18} +(-0.994542 + 2.06519i) q^{19} +(-0.113380 + 0.142174i) q^{20} +(-7.83143 - 6.24536i) q^{21} +(2.04454 - 0.984599i) q^{22} +(-0.118847 - 0.520702i) q^{23} +(1.61848 - 7.09104i) q^{24} +(4.31887 + 2.07986i) q^{25} +(2.07477 + 4.30831i) q^{26} +(-7.47389 - 1.70587i) q^{27} -1.36618 q^{28} -2.06565 q^{30} +(-3.49661 - 0.798078i) q^{31} +(-0.968530 - 2.01117i) q^{32} +(3.87280 + 1.86504i) q^{33} +(-0.973573 + 4.26550i) q^{34} +(-0.345072 - 1.51186i) q^{35} +(-2.02389 + 0.974653i) q^{36} +(5.56792 + 4.44027i) q^{37} +(-2.21415 + 2.77646i) q^{38} +(-3.93007 + 8.16088i) q^{39} +(0.880363 - 0.702066i) q^{40} -4.43991i q^{41} +(-9.67578 - 12.1330i) q^{42} +(4.02174 - 0.917936i) q^{43} +(0.571569 - 0.130457i) q^{44} +(-1.58978 - 1.99352i) q^{45} -0.827457i q^{46} +(-0.140288 + 0.111876i) q^{47} +(5.90852 - 12.2692i) q^{48} +(2.89944 - 3.63579i) q^{49} +(5.80634 + 4.63040i) q^{50} +(-7.46684 + 3.59584i) q^{51} +(0.274902 + 1.20443i) q^{52} +(-0.686606 + 3.00822i) q^{53} +(-10.7007 - 5.15320i) q^{54} +(0.288735 + 0.599565i) q^{55} +(8.24747 + 1.88243i) q^{56} -6.72679 q^{57} +13.2495 q^{59} +(-0.520283 - 0.118751i) q^{60} +(-0.819181 - 1.70105i) q^{61} +(-5.00626 - 2.41089i) q^{62} +(4.26263 - 18.6758i) q^{63} +(1.29558 + 5.67629i) q^{64} +(-1.26342 + 0.608431i) q^{65} +(5.20664 + 4.15216i) q^{66} +(7.58858 - 9.51578i) q^{67} +(-0.490435 + 1.01840i) q^{68} +(1.22543 - 0.977247i) q^{69} -2.40252i q^{70} +(-2.81470 - 3.52952i) q^{71} +(13.5609 - 3.09519i) q^{72} +(8.06850 - 1.84158i) q^{73} +(6.87920 + 8.62624i) q^{74} +14.0676i q^{75} +(-0.717302 + 0.572029i) q^{76} +(-2.16920 + 4.50439i) q^{77} +(-8.74954 + 10.9716i) q^{78} +(10.8173 + 8.62652i) q^{79} +(1.89944 - 0.914723i) q^{80} +(-1.25961 - 5.51873i) q^{81} +(1.53064 - 6.70619i) q^{82} +(2.21027 + 1.06441i) q^{83} +(-1.73956 - 3.61224i) q^{84} +(-1.25087 - 0.285502i) q^{85} +6.39102 q^{86} -3.63025 q^{88} +(-13.1535 - 3.00221i) q^{89} +(-1.71399 - 3.55914i) q^{90} +(-9.49178 - 4.57100i) q^{91} +(0.0475693 - 0.208415i) q^{92} +(-2.34209 - 10.2614i) q^{93} +(-0.250465 + 0.120618i) q^{94} +(-0.814202 - 0.649305i) q^{95} +(4.08439 - 5.12166i) q^{96} +(-2.04265 + 4.24161i) q^{97} +(5.63284 - 4.49204i) q^{98} +8.22043i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 12 q + 7 q^{2} - q^{4} + 6 q^{5} + 11 q^{6} - 4 q^{7} - 7 q^{8} - 10 q^{9}+O(q^{10}) \) 12 * q + 7 * q^2 - q^4 + 6 * q^5 + 11 * q^6 - 4 * q^7 - 7 * q^8 - 10 * q^9	\( 12 q + 7 q^{2} - q^{4} + 6 q^{5} + 11 q^{6} - 4 q^{7} - 7 q^{8} - 10 q^{9} - 14 q^{10} + 14 q^{11} + 2 q^{13} - 7 q^{14} - 14 q^{15} - 33 q^{16} + 14 q^{19} - 32 q^{20} - 42 q^{21} + 10 q^{22} + 2 q^{23} - 11 q^{24} + 6 q^{25} + 14 q^{26} - 21 q^{27} + 12 q^{28} + 2 q^{30} - 21 q^{32} + 18 q^{33} + 36 q^{34} + 12 q^{35} + 16 q^{36} - 14 q^{37} - 21 q^{38} - 14 q^{39} + 7 q^{40} - 27 q^{42} - 14 q^{43} - 49 q^{44} - 5 q^{45} + 35 q^{48} + 6 q^{49} - 7 q^{50} - 22 q^{51} - 6 q^{52} - 10 q^{53} + 11 q^{54} - 35 q^{55} + 21 q^{56} - 14 q^{57} + 44 q^{59} + 28 q^{60} - 28 q^{61} - 33 q^{62} - 6 q^{63} - 19 q^{64} - 27 q^{65} + 63 q^{66} + 26 q^{67} + 56 q^{68} - 7 q^{69} + 28 q^{71} + 63 q^{72} + 28 q^{73} - 7 q^{74} - 35 q^{76} - 28 q^{77} - 11 q^{78} + 14 q^{79} - 6 q^{80} + 22 q^{81} - 13 q^{82} - 16 q^{83} + 7 q^{84} + 21 q^{85} - 44 q^{86} - 66 q^{88} - 70 q^{89} + 42 q^{90} + 4 q^{91} + q^{92} - 2 q^{93} - 18 q^{94} - 7 q^{95} - 5 q^{96} - 56 q^{97} + 42 q^{98}+O(q^{100}) \) 12 * q + 7 * q^2 - q^4 + 6 * q^5 + 11 * q^6 - 4 * q^7 - 7 * q^8 - 10 * q^9 - 14 * q^10 + 14 * q^11 + 2 * q^13 - 7 * q^14 - 14 * q^15 - 33 * q^16 + 14 * q^19 - 32 * q^20 - 42 * q^21 + 10 * q^22 + 2 * q^23 - 11 * q^24 + 6 * q^25 + 14 * q^26 - 21 * q^27 + 12 * q^28 + 2 * q^30 - 21 * q^32 + 18 * q^33 + 36 * q^34 + 12 * q^35 + 16 * q^36 - 14 * q^37 - 21 * q^38 - 14 * q^39 + 7 * q^40 - 27 * q^42 - 14 * q^43 - 49 * q^44 - 5 * q^45 + 35 * q^48 + 6 * q^49 - 7 * q^50 - 22 * q^51 - 6 * q^52 - 10 * q^53 + 11 * q^54 - 35 * q^55 + 21 * q^56 - 14 * q^57 + 44 * q^59 + 28 * q^60 - 28 * q^61 - 33 * q^62 - 6 * q^63 - 19 * q^64 - 27 * q^65 + 63 * q^66 + 26 * q^67 + 56 * q^68 - 7 * q^69 + 28 * q^71 + 63 * q^72 + 28 * q^73 - 7 * q^74 - 35 * q^76 - 28 * q^77 - 11 * q^78 + 14 * q^79 - 6 * q^80 + 22 * q^81 - 13 * q^82 - 16 * q^83 + 7 * q^84 + 21 * q^85 - 44 * q^86 - 66 * q^88 - 70 * q^89 + 42 * q^90 + 4 * q^91 + q^92 - 2 * q^93 - 18 * q^94 - 7 * q^95 - 5 * q^96 - 56 * q^97 + 42 * q^98

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