LMFDB - Embedded newform 152.2.t.a.101.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [152,2,Mod(5,152)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(152, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([0, 9, 16]))

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

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

chi := DirichletCharacter("152.5");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 152 = 2^{3} \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	152.t (of order $18$, degree $6$, 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:	$1.21372611072$
Analytic rank:	$0$
Dimension:	$108$
Relative dimension:	$18$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			101.10
Character	$\chi$	$=$	152.101
Dual form			152.2.t.a.149.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.0771534 - 1.41211i) q^{2} +(-0.945944 + 2.59896i) q^{3} +(-1.98809 - 0.217898i) q^{4} +(1.15070 - 0.202899i) q^{5} +(3.59703 + 1.53629i) q^{6} +(-2.48117 + 4.29751i) q^{7} +(-0.461083 + 2.79059i) q^{8} +(-3.56165 - 2.98858i) q^{9} +O(q^{10})$	\(q+(0.0771534 - 1.41211i) q^{2} +(-0.945944 + 2.59896i) q^{3} +(-1.98809 - 0.217898i) q^{4} +(1.15070 - 0.202899i) q^{5} +(3.59703 + 1.53629i) q^{6} +(-2.48117 + 4.29751i) q^{7} +(-0.461083 + 2.79059i) q^{8} +(-3.56165 - 2.98858i) q^{9} +(-0.197735 - 1.64056i) q^{10} +(1.12791 - 0.651199i) q^{11} +(2.44693 - 4.96086i) q^{12} +(1.56654 + 4.30402i) q^{13} +(5.87711 + 3.83524i) q^{14} +(-0.561168 + 3.18254i) q^{15} +(3.90504 + 0.866402i) q^{16} +(2.55523 - 2.14409i) q^{17} +(-4.49499 + 4.79886i) q^{18} +(0.369712 - 4.34319i) q^{19} +(-2.33190 + 0.152648i) q^{20} +(-8.82201 - 10.5137i) q^{21} +(-0.832541 - 1.64297i) q^{22} +(-0.0598623 + 0.339496i) q^{23} +(-6.81648 - 3.83808i) q^{24} +(-3.41553 + 1.24315i) q^{25} +(6.19861 - 1.88005i) q^{26} +(3.95069 - 2.28093i) q^{27} +(5.86921 - 8.00321i) q^{28} +(-0.903650 + 1.07693i) q^{29} +(4.45080 + 1.03797i) q^{30} +(2.59290 - 4.49103i) q^{31} +(1.52474 - 5.44749i) q^{32} +(0.625501 + 3.54739i) q^{33} +(-2.83054 - 3.77368i) q^{34} +(-1.98311 + 5.44855i) q^{35} +(6.42970 + 6.71766i) q^{36} +3.14124i q^{37} +(-6.10453 - 0.857165i) q^{38} -12.6678 q^{39} +(0.0356411 + 3.30468i) q^{40} +(8.84858 + 3.22062i) q^{41} +(-15.5271 + 11.6465i) q^{42} +(6.63623 - 1.17015i) q^{43} +(-2.38429 + 1.04888i) q^{44} +(-4.70476 - 2.71629i) q^{45} +(0.474786 + 0.110725i) q^{46} +(-0.689587 - 0.578632i) q^{47} +(-5.94570 + 9.32948i) q^{48} +(-8.81238 - 15.2635i) q^{49} +(1.49194 + 4.91901i) q^{50} +(3.15530 + 8.66913i) q^{51} +(-2.17659 - 8.89815i) q^{52} +(1.26559 + 0.223157i) q^{53} +(-2.91611 - 5.75477i) q^{54} +(1.16575 - 0.978183i) q^{55} +(-10.8486 - 8.90543i) q^{56} +(10.9381 + 5.06928i) q^{57} +(1.45102 + 1.35914i) q^{58} +(6.06841 + 7.23205i) q^{59} +(1.80913 - 6.20492i) q^{60} +(2.91105 + 0.513296i) q^{61} +(-6.14176 - 4.00795i) q^{62} +(21.6805 - 7.89106i) q^{63} +(-7.57480 - 2.57339i) q^{64} +(2.67589 + 4.63477i) q^{65} +(5.05755 - 0.609581i) q^{66} +(1.95759 - 2.33296i) q^{67} +(-5.54723 + 3.70588i) q^{68} +(-0.825710 - 0.476724i) q^{69} +(7.54094 + 3.22074i) q^{70} +(1.96983 + 11.1714i) q^{71} +(9.98213 - 8.56113i) q^{72} +(-1.39362 - 0.507236i) q^{73} +(4.43577 + 0.242357i) q^{74} -10.0528i q^{75} +(-1.68139 + 8.55412i) q^{76} +6.46293i q^{77} +(-0.977367 + 17.8884i) q^{78} +(8.75250 + 3.18565i) q^{79} +(4.66931 + 0.204638i) q^{80} +(-0.231166 - 1.31101i) q^{81} +(5.23056 - 12.2467i) q^{82} +(-11.1997 - 6.46616i) q^{83} +(15.2481 + 22.8244i) q^{84} +(2.50526 - 2.98565i) q^{85} +(-1.14037 - 9.46135i) q^{86} +(-1.94409 - 3.36726i) q^{87} +(1.29717 + 3.44779i) q^{88} +(2.44335 - 0.889305i) q^{89} +(-4.19869 + 6.43405i) q^{90} +(-22.3834 - 3.94680i) q^{91} +(0.192987 - 0.661906i) q^{92} +(9.21927 + 10.9871i) q^{93} +(-0.870295 + 0.929128i) q^{94} +(-0.455802 - 5.07271i) q^{95} +(12.7155 + 9.11576i) q^{96} +(-2.82277 + 2.36859i) q^{97} +(-22.2336 + 11.2664i) q^{98} +(-5.96338 - 1.05151i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 108 q - 6 q^{2} - 12 q^{4} - 12 q^{6} - 6 q^{7} - 3 q^{8} - 12 q^{9}+O(q^{10}) $ 108 * q - 6 * q^2 - 12 * q^4 - 12 * q^6 - 6 * q^7 - 3 * q^8 - 12 * q^9	$ 108 q - 6 q^{2} - 12 q^{4} - 12 q^{6} - 6 q^{7} - 3 q^{8} - 12 q^{9} + 9 q^{10} - 3 q^{12} - 9 q^{14} - 12 q^{15} - 12 q^{17} - 12 q^{18} - 42 q^{20} - 12 q^{22} - 12 q^{23} - 36 q^{24} - 12 q^{25} + 21 q^{26} + 24 q^{28} - 48 q^{30} + 30 q^{31} + 39 q^{32} - 30 q^{33} - 60 q^{34} + 69 q^{36} - 42 q^{38} - 24 q^{39} + 36 q^{40} - 24 q^{41} - 81 q^{42} + 45 q^{44} - 18 q^{46} - 48 q^{47} - 21 q^{48} - 24 q^{49} - 12 q^{50} + 3 q^{52} + 63 q^{54} - 42 q^{55} + 30 q^{56} - 12 q^{57} - 84 q^{58} + 30 q^{60} - 6 q^{62} + 30 q^{63} + 3 q^{64} - 6 q^{65} + 54 q^{66} + 36 q^{68} + 123 q^{70} - 12 q^{71} + 150 q^{72} + 12 q^{73} + 75 q^{74} + 42 q^{76} + 39 q^{78} - 12 q^{79} + 51 q^{80} - 18 q^{81} + 99 q^{82} + 75 q^{84} - 48 q^{86} - 6 q^{87} - 27 q^{88} - 12 q^{89} + 66 q^{90} - 48 q^{92} + 54 q^{94} - 72 q^{95} + 42 q^{96} - 12 q^{97} + 93 q^{98}+O(q^{100}) $ 108 * q - 6 * q^2 - 12 * q^4 - 12 * q^6 - 6 * q^7 - 3 * q^8 - 12 * q^9 + 9 * q^10 - 3 * q^12 - 9 * q^14 - 12 * q^15 - 12 * q^17 - 12 * q^18 - 42 * q^20 - 12 * q^22 - 12 * q^23 - 36 * q^24 - 12 * q^25 + 21 * q^26 + 24 * q^28 - 48 * q^30 + 30 * q^31 + 39 * q^32 - 30 * q^33 - 60 * q^34 + 69 * q^36 - 42 * q^38 - 24 * q^39 + 36 * q^40 - 24 * q^41 - 81 * q^42 + 45 * q^44 - 18 * q^46 - 48 * q^47 - 21 * q^48 - 24 * q^49 - 12 * q^50 + 3 * q^52 + 63 * q^54 - 42 * q^55 + 30 * q^56 - 12 * q^57 - 84 * q^58 + 30 * q^60 - 6 * q^62 + 30 * q^63 + 3 * q^64 - 6 * q^65 + 54 * q^66 + 36 * q^68 + 123 * q^70 - 12 * q^71 + 150 * q^72 + 12 * q^73 + 75 * q^74 + 42 * q^76 + 39 * q^78 - 12 * q^79 + 51 * q^80 - 18 * q^81 + 99 * q^82 + 75 * q^84 - 48 * q^86 - 6 * q^87 - 27 * q^88 - 12 * q^89 + 66 * q^90 - 48 * q^92 + 54 * q^94 - 72 * q^95 + 42 * q^96 - 12 * q^97 + 93 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/152\mathbb{Z}\right)^\times$.

$n$	$39$	$77$	$97$
$\chi(n)$	$1$	$-1$	$e\left(\frac{7}{9}\right)$

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 $

$2$	0.0771534	−	1.41211i	0.0545557	−	0.998511i
$2$	0.0771534	−	1.41211i	0.0545557	−	0.998511i
$3$	−0.945944	+	2.59896i	−0.546141	+	1.50051i	0.292738	+	0.956193i	$0.405434\pi$
$3$	−0.945944	+	2.59896i	−0.546141	+	1.50051i	−0.838879	+	0.544318i	$0.816789\pi$
$4$	−1.98809	−	0.217898i	−0.994047	−	0.108949i
$5$	1.15070	−	0.202899i	0.514607	−	0.0907391i	0.0896869	−	0.995970i	$-0.471413\pi$
$5$	1.15070	−	0.202899i	0.514607	−	0.0907391i	0.424920	+	0.905231i	$0.360302\pi$
$6$	3.59703	+	1.53629i	1.46848	+	0.627189i
$7$	−2.48117	+	4.29751i	−0.937793	+	1.62431i	−0.168217	+	0.985750i	$0.553801\pi$
$7$	−2.48117	+	4.29751i	−0.937793	+	1.62431i	−0.769576	+	0.638555i	$0.779532\pi$
$8$	−0.461083	+	2.79059i	−0.163018	+	0.986623i
$9$	−3.56165	−	2.98858i	−1.18722	−	0.996194i
$10$	−0.197735	−	1.64056i	−0.0625292	−	0.518791i
$11$	1.12791	−	0.651199i	0.340077	−	0.196344i	−0.320229	−	0.947340i	$-0.603760\pi$
$11$	1.12791	−	0.651199i	0.340077	−	0.196344i	0.660306	+	0.750996i	$0.270426\pi$
$12$	2.44693	−	4.96086i	0.706369	−	1.43208i
$13$	1.56654	+	4.30402i	0.434479	+	1.19372i	0.943035	+	0.332693i	$0.107957\pi$
$13$	1.56654	+	4.30402i	0.434479	+	1.19372i	−0.508556	+	0.861029i	$0.669821\pi$
$14$	5.87711	+	3.83524i	1.57072	+	1.02501i
$15$	−0.561168	+	3.18254i	−0.144893	+	0.821729i
$16$	3.90504	+	0.866402i	0.976260	+	0.216601i
$17$	2.55523	−	2.14409i	0.619734	−	0.520018i	−0.277986	−	0.960585i	$-0.589667\pi$
$17$	2.55523	−	2.14409i	0.619734	−	0.520018i	0.897720	+	0.440567i	$0.145222\pi$
$18$	−4.49499	+	4.79886i	−1.05948	+	1.13110i
$19$	0.369712	−	4.34319i	0.0848177	−	0.996396i
$19$	0.369712	−	4.34319i	0.0848177	−	0.996396i
$20$	−2.33190	+	0.152648i	−0.521430	+	0.0341331i
$21$	−8.82201	−	10.5137i	−1.92512	−	2.29427i
$22$	−0.832541	−	1.64297i	−0.177498	−	0.350283i
$23$	−0.0598623	+	0.339496i	−0.0124822	+	0.0707898i	−0.990413	−	0.138141i	$-0.955887\pi$
$23$	−0.0598623	+	0.339496i	−0.0124822	+	0.0707898i	0.977930	+	0.208931i	$0.0669984\pi$
$24$	−6.81648	−	3.83808i	−1.39141	−	0.783445i
$25$	−3.41553	+	1.24315i	−0.683106	+	0.248630i
$26$	6.19861	−	1.88005i	1.21565	−	0.368708i
$27$	3.95069	−	2.28093i	0.760310	−	0.438965i
$28$	5.86921	−	8.00321i	1.10918	−	1.51246i
$29$	−0.903650	+	1.07693i	−0.167804	+	0.199981i	−0.843392	−	0.537298i	$-0.819445\pi$
$29$	−0.903650	+	1.07693i	−0.167804	+	0.199981i	0.675589	+	0.737279i	$0.263889\pi$
$30$	4.45080	+	1.03797i	0.812601	+	0.189507i
$31$	2.59290	−	4.49103i	0.465698	−	0.806612i	−0.533535	−	0.845778i	$-0.679137\pi$
$31$	2.59290	−	4.49103i	0.465698	−	0.806612i	0.999233	+	0.0391657i	$0.0124700\pi$
$32$	1.52474	−	5.44749i	0.269539	−	0.962990i
$33$	0.625501	+	3.54739i	0.108886	+	0.617521i
$34$	−2.83054	−	3.77368i	−0.485434	−	0.647181i
$35$	−1.98311	+	5.44855i	−0.335207	+	0.920973i
$36$	6.42970	+	6.71766i	1.07162	+	1.11961i
$37$			3.14124i			0.516417i	0.966089	+	0.258208i	$0.0831321\pi$
$37$			3.14124i			0.516417i	−0.966089	+	0.258208i	$0.916868\pi$
$38$	−6.10453	−	0.857165i	−0.990285	−	0.139050i
$39$	−12.6678			−2.02848
$40$	0.0356411	+	3.30468i	0.00563535	+	0.522515i
$41$	8.84858	+	3.22062i	1.38192	+	0.502976i	0.922758	−	0.385379i	$-0.125929\pi$
$41$	8.84858	+	3.22062i	1.38192	+	0.502976i	0.459157	+	0.888355i	$0.348151\pi$
$42$	−15.5271	+	11.6465i	−2.39588	+	1.79709i
$43$	6.63623	−	1.17015i	1.01202	−	0.178446i	0.357035	−	0.934091i	$-0.383788\pi$
$43$	6.63623	−	1.17015i	1.01202	−	0.178446i	0.654981	+	0.755645i	$0.272677\pi$
$44$	−2.38429	+	1.04888i	−0.359445	+	0.158124i
$45$	−4.70476	−	2.71629i	−0.701344	−	0.404921i
$46$	0.474786	+	0.110725i	0.0700034	+	0.0163255i
$47$	−0.689587	−	0.578632i	−0.100587	−	0.0844022i	0.591107	−	0.806593i	$-0.298691\pi$
$47$	−0.689587	−	0.578632i	−0.100587	−	0.0844022i	−0.691694	+	0.722191i	$0.743135\pi$
$48$	−5.94570	+	9.32948i	−0.858188	+	1.34659i
$49$	−8.81238	−	15.2635i	−1.25891	−	2.18050i
$50$	1.49194	+	4.91901i	0.210993	+	0.695653i
$51$	3.15530	+	8.66913i	0.441831	+	1.21392i
$52$	−2.17659	−	8.89815i	−0.301838	−	1.23395i
$53$	1.26559	+	0.223157i	0.173842	+	0.0306530i	0.259891	−	0.965638i	$-0.416313\pi$
$53$	1.26559	+	0.223157i	0.173842	+	0.0306530i	−0.0860497	+	0.996291i	$0.527424\pi$
$54$	−2.91611	−	5.75477i	−0.396832	−	0.783125i
$55$	1.16575	−	0.978183i	0.157190	−	0.131898i
$56$	−10.8486	−	8.90543i	−1.44970	−	1.19004i
$57$	10.9381	+	5.06928i	1.44878	+	0.671443i
$58$	1.45102	+	1.35914i	0.190528	+	0.178464i
$59$	6.06841	+	7.23205i	0.790040	+	0.941533i	0.999340	−	0.0363185i	$-0.0115631\pi$
$59$	6.06841	+	7.23205i	0.790040	+	0.941533i	−0.209300	+	0.977851i	$0.567119\pi$
$60$	1.80913	−	6.20492i	0.233557	−	0.801052i
$61$	2.91105	+	0.513296i	0.372721	+	0.0657208i	0.356871	−	0.934154i	$-0.383843\pi$
$61$	2.91105	+	0.513296i	0.372721	+	0.0657208i	0.0158500	+	0.999874i	$0.494955\pi$
$62$	−6.14176	−	4.00795i	−0.780005	−	0.509010i
$63$	21.6805	−	7.89106i	2.73149	−	0.994180i
$64$	−7.57480	−	2.57339i	−0.946851	−	0.321674i
$65$	2.67589	+	4.63477i	0.331903	+	0.574873i
$66$	5.05755	−	0.609581i	0.622542	−	0.0750342i
$67$	1.95759	−	2.33296i	0.239157	−	0.285017i	−0.633094	−	0.774075i	$-0.718215\pi$
$67$	1.95759	−	2.33296i	0.239157	−	0.285017i	0.872251	+	0.489059i	$0.162660\pi$
$68$	−5.54723	+	3.70588i	−0.672700	+	0.449404i
$69$	−0.825710	−	0.476724i	−0.0994038	−	0.0573908i
$70$	7.54094	+	3.22074i	0.901314	+	0.384952i
$71$	1.96983	+	11.1714i	0.233775	+	1.32581i	0.845177	+	0.534486i	$0.179495\pi$
$71$	1.96983	+	11.1714i	0.233775	+	1.32581i	−0.611402	+	0.791320i	$0.709394\pi$
$72$	9.98213	−	8.56113i	1.17641	−	1.00894i
$73$	−1.39362	−	0.507236i	−0.163111	−	0.0593675i	0.259174	−	0.965831i	$-0.416550\pi$
$73$	−1.39362	−	0.507236i	−0.163111	−	0.0593675i	−0.422285	+	0.906463i	$0.638772\pi$
$74$	4.43577	+	0.242357i	0.515648	+	0.0281735i
$75$		−	10.0528i		−	1.16080i
$76$	−1.68139	+	8.55412i	−0.192869	+	0.981224i
$77$			6.46293i			0.736519i
$78$	−0.977367	+	17.8884i	−0.110665	+	2.02546i
$79$	8.75250	+	3.18565i	0.984733	+	0.358414i	0.783679	−	0.621166i	$-0.213341\pi$
$79$	8.75250	+	3.18565i	0.984733	+	0.358414i	0.201055	+	0.979580i	$0.435563\pi$
$80$	4.66931	+	0.204638i	0.522044	+	0.0228792i
$81$	−0.231166	−	1.31101i	−0.0256852	−	0.145668i
$82$	5.23056	−	12.2467i	0.577618	−	1.35242i
$83$	−11.1997	−	6.46616i	−1.22933	−	0.709754i	−0.262440	−	0.964948i	$-0.584527\pi$
$83$	−11.1997	−	6.46616i	−1.22933	−	0.709754i	−0.966890	+	0.255195i	$0.917860\pi$
$84$	15.2481	+	22.8244i	1.66370	+	2.49035i
$85$	2.50526	−	2.98565i	0.271733	−	0.323839i
$86$	−1.14037	−	9.46135i	−0.122969	−	1.02024i
$87$	−1.94409	−	3.36726i	−0.208428	−	0.361009i
$88$	1.29717	+	3.44779i	0.138279	+	0.367536i
$89$	2.44335	−	0.889305i	0.258994	−	0.0942661i	−0.209260	−	0.977860i	$-0.567105\pi$
$89$	2.44335	−	0.889305i	0.258994	−	0.0942661i	0.468254	+	0.883594i	$0.344883\pi$
$90$	−4.19869	+	6.43405i	−0.442580	+	0.678209i
$91$	−22.3834	−	3.94680i	−2.34642	−	0.413737i
$92$	0.192987	−	0.661906i	0.0201203	−	0.0690085i
$93$	9.21927	+	10.9871i	0.955994	+	1.13931i
$94$	−0.870295	+	0.929128i	−0.0897641	+	0.0958322i
$95$	−0.455802	−	5.07271i	−0.0467643	−	0.520449i
$96$	12.7155	+	9.11576i	1.29777	+	0.930374i
$97$	−2.82277	+	2.36859i	−0.286609	+	0.240493i	−0.774745	−	0.632274i	$-0.782122\pi$
$97$	−2.82277	+	2.36859i	−0.286609	+	0.240493i	0.488136	+	0.872768i	$0.337677\pi$
$98$	−22.2336	+	11.2664i	−2.24593	+	1.13808i
$99$	−5.96338	−	1.05151i	−0.599342	−	0.105680i
$100$	7.06128	−	1.72727i	0.706128	−	0.172727i
$101$	0.609616	+	1.67491i	0.0606590	+	0.166659i	0.966320	−	0.257343i	$-0.0828470\pi$
$101$	0.609616	+	1.67491i	0.0606590	+	0.166659i	−0.905661	+	0.424002i	$0.860625\pi$
$102$	12.4852	−	3.78678i	1.23622	−	0.374947i
$103$	−7.46400	−	12.9280i	−0.735450	−	1.27384i	−0.954526	−	0.298129i	$-0.903637\pi$
$103$	−7.46400	−	12.9280i	−0.735450	−	1.27384i	0.219076	−	0.975708i	$-0.429696\pi$
$104$	−12.7331	+	2.38705i	−1.24858	+	0.234070i
$105$	−12.2847	−	10.3081i	−1.19886	−	1.00596i
$106$	0.412766	−	1.76993i	0.0400913	−	0.171910i
$107$	6.27280	+	3.62160i	0.606414	+	0.350114i	0.771561	−	0.636156i	$-0.219476\pi$
$107$	6.27280	+	3.62160i	0.606414	+	0.350114i	−0.165146	+	0.986269i	$0.552810\pi$
$108$	−8.35135	+	3.67386i	−0.803609	+	0.353517i
$109$	0.818455	−	0.144316i	0.0783937	−	0.0138229i	−0.134314	−	0.990939i	$-0.542883\pi$
$109$	0.818455	−	0.144316i	0.0783937	−	0.0138229i	0.212707	+	0.977116i	$0.431772\pi$
$110$	−1.29136	−	1.72164i	−0.123126	−	0.164152i
$111$	−8.16396	−	2.97144i	−0.774889	−	0.282036i
$112$	−13.4124	+	14.6323i	−1.26736	+	1.38262i
$113$	13.4059			1.26112			0.630559	−	0.776142i	$-0.282826\pi$
$113$	13.4059			1.26112			0.630559	+	0.776142i	$0.282826\pi$
$114$	8.00228	−	15.0546i	0.749482	−	1.40999i
$115$			0.402803i			0.0375615i
$116$	2.03120	−	1.94413i	0.188592	−	0.180508i
$117$	7.28347	−	20.0112i	0.673357	−	1.85003i
$118$	10.6806	−	8.01127i	0.983232	−	0.737497i
$119$	2.87430	+	16.3010i	0.263487	+	1.49431i
$120$	−8.62244	−	3.03341i	−0.787117	−	0.276911i
$121$	−4.65188	+	8.05729i	−0.422898	+	0.732481i
$122$	0.949426	−	4.07111i	0.0859570	−	0.368581i
$123$	−16.7405	+	19.9506i	−1.50944	+	1.79888i
$124$	−6.13351	+	8.36360i	−0.550805	+	0.751074i
$125$	−8.73753	+	5.04461i	−0.781508	+	0.451204i
$126$	−9.47030	−	31.2240i	−0.843681	−	2.78166i
$127$	−10.7949	+	3.92901i	−0.957890	+	0.348643i	−0.773206	−	0.634155i	$-0.781348\pi$
$127$	−10.7949	+	3.92901i	−0.957890	+	0.348643i	−0.184684	+	0.982798i	$0.559126\pi$
$128$	−4.21832	+	10.4979i	−0.372851	+	0.927891i
$129$	−3.23634	+	18.3542i	−0.284944	+	1.61600i
$130$	6.75125	−	3.42105i	0.592124	−	0.300046i
$131$	−10.5547	−	12.5786i	−0.922165	−	1.09899i	−0.994822	−	0.101637i	$-0.967592\pi$
$131$	−10.5547	−	12.5786i	−0.922165	−	1.09899i	0.0726561	−	0.997357i	$-0.476852\pi$
$132$	−0.470586	−	7.18884i	−0.0409593	−	0.625708i
$133$	17.7476	+	12.3650i	1.53891	+	1.07218i
$134$	−3.14336	−	2.94432i	−0.271545	−	0.254351i
$135$	4.08324	−	3.42624i	0.351429	−	0.294884i
$136$	4.80511	+	8.11920i	0.412035	+	0.696216i
$137$	0.745646	−	4.22877i	0.0637048	−	0.361288i	−0.936246	−	0.351346i	$-0.885724\pi$
$137$	0.745646	−	4.22877i	0.0637048	−	0.361288i	0.999951	−	0.00994210i	$-0.00316472\pi$
$138$	−0.736892	+	1.12921i	−0.0627284	+	0.0961248i
$139$	−2.25049	−	6.18316i	−0.190884	−	0.524449i	0.806922	−	0.590658i	$-0.201132\pi$
$139$	−2.25049	−	6.18316i	−0.190884	−	0.524449i	−0.997806	+	0.0662092i	$0.978910\pi$
$140$	5.12984	−	10.4001i	0.433550	−	0.878971i
$141$	2.15615	−	1.24486i	0.181581	−	0.104836i
$142$	15.9273	−	1.91969i	1.33659	−	0.161097i
$143$	4.56969	+	3.83442i	0.382136	+	0.320650i
$144$	−11.3191	−	14.7564i	−0.943257	−	1.22970i
$145$	−0.821319	+	1.42257i	−0.0682068	+	0.118138i
$146$	−0.823795	+	1.92881i	−0.0681777	+	0.159629i
$147$	48.0053	−	8.46462i	3.95941	−	0.698150i
$148$	0.684469	−	6.24508i	0.0562630	−	0.513343i
$149$	3.94197	−	10.8305i	0.322938	−	0.887266i	−0.666910	−	0.745138i	$-0.732383\pi$
$149$	3.94197	−	10.8305i	0.322938	−	0.887266i	0.989848	−	0.142128i	$-0.0453943\pi$
$150$	−14.1956	−	0.775606i	−1.15907	−	0.0633279i
$151$	−13.0394			−1.06113			−0.530565	−	0.847644i	$-0.678020\pi$
$151$	−13.0394			−1.06113			−0.530565	+	0.847644i	$0.678020\pi$
$152$	11.9496	+	3.03429i	0.969241	+	0.246113i
$153$	−15.5086			−1.25380
$154$	9.12635	+	0.498637i	0.735423	+	0.0401813i
$155$	2.07241	−	5.69390i	0.166460	−	0.457345i
$156$	25.1849	+	2.76029i	2.01640	+	0.221000i
$157$	−5.15855	+	0.909591i	−0.411697	+	0.0725933i	−0.375661	−	0.926757i	$-0.622584\pi$
$157$	−5.15855	+	0.909591i	−0.411697	+	0.0725933i	−0.0360361	+	0.999350i	$0.511473\pi$
$158$	5.17376	−	12.1137i	0.411603	−	0.963713i
$159$	−1.77715	+	3.07811i	−0.140937	+	0.244110i
$160$	0.649223	−	6.57777i	0.0513256	−	0.520019i
$161$	−1.31046	−	1.09960i	−0.103279	−	0.0866610i
$162$	−1.86912	+	0.225283i	−0.146852	+	0.0176999i
$163$	5.65780	−	3.26653i	0.443153	−	0.255855i	−0.261781	−	0.965127i	$-0.584310\pi$
$163$	5.65780	−	3.26653i	0.443153	−	0.255855i	0.704934	+	0.709273i	$0.250976\pi$
$164$	−16.8900	−	8.33098i	−1.31889	−	0.650540i
$165$	1.43952	+	3.95505i	0.112067	+	0.307900i
$166$	−9.99501	+	15.3163i	−0.775764	+	1.18878i
$167$	4.19049	−	23.7655i	0.324270	−	1.83903i	−0.190485	−	0.981690i	$-0.561006\pi$
$167$	4.19049	−	23.7655i	0.324270	−	1.83903i	0.514755	−	0.857337i	$-0.327883\pi$
$168$	33.4070	−	19.7710i	2.57741	−	1.52536i
$169$	−6.11201	+	5.12858i	−0.470154	+	0.394506i
$170$	−4.02277	−	3.76804i	−0.308532	−	0.288996i
$171$	−14.2968	+	14.3640i	−1.09330	+	1.09844i
$172$	−13.4484	+	0.880343i	−1.02543	+	0.0671255i
$173$	−2.33887	−	2.78736i	−0.177821	−	0.211919i	0.669770	−	0.742568i	$-0.266393\pi$
$173$	−2.33887	−	2.78736i	−0.177821	−	0.211919i	−0.847592	+	0.530649i	$0.821948\pi$
$174$	−4.90493	+	2.48547i	−0.371842	+	0.188423i
$175$	3.13205	−	17.7627i	0.236761	−	1.34274i
$176$	4.96873	−	1.56573i	0.374532	−	0.118022i
$177$	−24.5362	+	8.93045i	−1.84425	+	0.671253i
$178$	−1.06728	−	3.51888i	−0.0799962	−	0.263751i
$179$	−1.74136	+	1.00537i	−0.130155	+	0.0751451i	−0.563664	−	0.826004i	$-0.690609\pi$
$179$	−1.74136	+	1.00537i	−0.130155	+	0.0751451i	0.433509	+	0.901149i	$0.357275\pi$
$180$	8.76163	+	6.42540i	0.653053	+	0.478921i
$181$	1.34743	−	1.60581i	0.100154	−	0.119359i	−0.713639	−	0.700513i	$-0.752954\pi$
$181$	1.34743	−	1.60581i	0.100154	−	0.119359i	0.813793	+	0.581155i	$0.197399\pi$
$182$	−7.30026	+	31.3033i	−0.541131	+	2.32035i
$183$	−4.08772	+	7.08015i	−0.302173	+	0.523380i
$184$	−0.919793	−	0.323587i	−0.0678080	−	0.0238552i
$185$	0.637354	+	3.61461i	0.0468592	+	0.265752i
$186$	16.2263	−	12.1709i	1.18977	−	0.892414i
$187$	1.48584	−	4.08230i	0.108655	−	0.298527i
$188$	1.24488	+	1.30064i	0.0907924	+	0.0948586i
$189$			22.6375i			1.64663i
$190$	−7.19837	+	0.252265i	−0.522225	+	0.0183012i
$191$	−3.51547			−0.254371			−0.127185	−	0.991879i	$-0.540594\pi$
$191$	−3.51547			−0.254371			−0.127185	+	0.991879i	$0.540594\pi$
$192$	13.8535	−	17.2523i	0.999789	−	1.24508i
$193$	7.50594	+	2.73194i	0.540290	+	0.196649i	0.597727	−	0.801700i	$-0.296071\pi$
$193$	7.50594	+	2.73194i	0.540290	+	0.196649i	−0.0574374	+	0.998349i	$0.518293\pi$
$194$	3.12691	+	4.16880i	0.224499	+	0.299302i
$195$	−14.5768	+	2.57029i	−1.04387	+	0.184062i
$196$	14.1940	+	32.2655i	1.01386	+	2.30468i
$197$	−13.7278	−	7.92577i	−0.978068	−	0.564688i	−0.0763820	−	0.997079i	$-0.524337\pi$
$197$	−13.7278	−	7.92577i	−0.978068	−	0.564688i	−0.901686	+	0.432391i	$0.857670\pi$
$198$	−1.94493	+	8.33981i	−0.138220	+	0.592684i
$199$	12.9867	+	10.8972i	0.920606	+	0.772480i	0.974107	−	0.226088i	$-0.0725935\pi$
$199$	12.9867	+	10.8972i	0.920606	+	0.772480i	−0.0535009	+	0.998568i	$0.517038\pi$
$200$	−1.89428	−	10.1045i	−0.133946	−	0.714499i
$201$	4.21151	+	7.29455i	0.297057	+	0.514518i
$202$	2.41218	−	0.731618i	0.169720	−	0.0514765i
$203$	−2.38600	−	6.55548i	−0.167464	−	0.460105i
$204$	−4.38406	−	17.9226i	−0.306946	−	1.25483i
$205$	10.8355	+	1.91059i	0.756783	+	0.133441i
$206$	−18.8316	+	9.54253i	−1.31206	+	0.664860i
$207$	1.22782	−	1.03026i	0.0853394	−	0.0716082i
$208$	2.38837	+	18.1646i	0.165604	+	1.25949i
$209$	−2.41128	−	5.13948i	−0.166792	−	0.355505i
$210$	−15.5039	+	16.5520i	−1.06987	+	1.14219i
$211$	−3.93730	−	4.69230i	−0.271055	−	0.323031i	0.613296	−	0.789853i	$-0.289843\pi$
$211$	−3.93730	−	4.69230i	−0.271055	−	0.323031i	−0.884351	+	0.466822i	$0.845399\pi$
$212$	−2.46748	−	0.719425i	−0.169467	−	0.0494103i
$213$	−30.8975	−	5.44806i	−2.11706	−	0.373295i
$214$	5.59806	−	8.57845i	0.382675	−	0.586411i
$215$	7.39886	−	2.69297i	0.504598	−	0.183659i
$216$	4.54355	+	12.0764i	0.309149	+	0.821698i
$217$	12.8668	+	22.2860i	0.873457	+	1.51287i
$218$	−0.140643	−	1.16688i	−0.00952552	−	0.0790311i
$219$	2.63658	−	3.14215i	0.178163	−	0.212327i
$220$	−2.53077	+	1.69071i	−0.170625	+	0.113987i
$221$	13.2311	+	7.63897i	0.890018	+	0.513852i
$222$	−4.82587	+	11.2991i	−0.323891	+	0.758348i
$223$	0.479933	+	2.72184i	0.0321387	+	0.182268i	0.996651	−	0.0817692i	$-0.0260570\pi$
$223$	0.479933	+	2.72184i	0.0321387	+	0.182268i	−0.964513	+	0.264037i	$0.914946\pi$
$224$	19.6275	+	20.0687i	1.31142	+	1.34090i
$225$	15.8802	+	5.77992i	1.05868	+	0.385328i
$226$	1.03431	−	18.9305i	0.0688011	−	1.25924i
$227$			22.8081i			1.51383i	0.653516	+	0.756913i	$0.273293\pi$
$227$			22.8081i			1.51383i	−0.653516	+	0.756913i	$0.726707\pi$
$228$	−20.6413	−	12.4616i	−1.36700	−	0.825289i
$229$		−	20.0645i		−	1.32590i	−0.748665	−	0.662948i	$-0.769305\pi$
$229$		−	20.0645i		−	1.32590i	0.748665	−	0.662948i	$-0.230695\pi$
$230$	0.568801	+	0.0310776i	0.0375056	+	0.00204919i
$231$	−16.7969	−	6.11357i	−1.10516	−	0.402244i
$232$	−2.58861	−	3.01827i	−0.169950	−	0.198159i
$233$	−4.22236	−	23.9462i	−0.276616	−	1.56877i	−0.733780	−	0.679387i	$-0.762246\pi$
$233$	−4.22236	−	23.9462i	−0.276616	−	1.56877i	0.457164	−	0.889382i	$-0.348865\pi$
$234$	−27.6960	−	11.8290i	−1.81054	−	0.773284i
$235$	−0.910909	−	0.525914i	−0.0594212	−	0.0343068i
$236$	−10.4887	−	15.7003i	−0.682758	−	1.02200i
$237$	−16.5588	+	19.7340i	−1.07561	+	1.28186i
$238$	23.2405	−	2.80114i	1.50646	−	0.181571i
$239$	0.645825	+	1.11860i	0.0417749	+	0.0723563i	0.886157	−	0.463385i	$-0.153365\pi$
$239$	0.645825	+	1.11860i	0.0417749	+	0.0723563i	−0.844382	+	0.535742i	$0.820032\pi$
$240$	−4.94875	+	11.9418i	−0.319440	+	0.770838i
$241$	−11.7717	+	4.28456i	−0.758284	+	0.275993i	−0.692087	−	0.721814i	$-0.743309\pi$
$241$	−11.7717	+	4.28456i	−0.758284	+	0.275993i	−0.0661966	+	0.997807i	$0.521086\pi$
$242$	11.0189	+	7.19060i	0.708319	+	0.462229i
$243$	17.1036	+	3.01582i	1.09720	+	0.193465i
$244$	−5.67559	−	1.65479i	−0.363342	−	0.105937i
$245$	−13.2373	−	15.7756i	−0.845701	−	1.00787i
$246$	26.8808	+	25.1787i	1.71386	+	1.60533i
$247$	19.2724	−	5.21252i	1.22627	−	0.331665i
$248$	11.3371	+	9.30645i	0.719906	+	0.590960i
$249$	27.3996	−	22.9910i	1.73638	−	1.45700i
$250$	6.44941	+	12.7275i	0.407896	+	0.804960i
$251$	23.1578	+	4.08335i	1.46171	+	0.257739i	0.847244	−	0.531204i	$-0.178260\pi$
$251$	23.1578	+	4.08335i	1.46171	+	0.257739i	0.614466	+	0.788943i	$0.289371\pi$
$252$	−44.8223	+	10.9640i	−2.82354	+	0.690670i
$253$	0.153560	+	0.421903i	0.00965424	+	0.0265248i
$254$	4.71533	+	15.5467i	0.295866	+	0.975484i
$255$	5.38975	+	9.33532i	0.337519	+	0.584601i
$256$	14.4987	+	6.76667i	0.906168	+	0.422917i
$257$	2.46894	+	2.07168i	0.154008	+	0.129228i	0.716536	−	0.697550i	$-0.245727\pi$
$257$	2.46894	+	2.07168i	0.154008	+	0.129228i	−0.562528	+	0.826778i	$0.690171\pi$
$258$	25.6684	+	5.98615i	1.59805	+	0.372681i
$259$	−13.4995	−	7.79394i	−0.838818	−	0.484292i
$260$	−4.31001	−	9.79744i	−0.267296	−	0.607611i
$261$	6.43697	−	1.13501i	0.398439	−	0.0702555i
$262$	−18.5766	+	13.9338i	−1.14767	+	0.860836i
$263$	17.7478	+	6.45968i	1.09438	+	0.398321i	0.825241	−	0.564781i	$-0.191039\pi$
$263$	17.7478	+	6.45968i	1.09438	+	0.398321i	0.269137	+	0.963102i	$0.413261\pi$
$264$	−10.1877	+	0.109875i	−0.627011	+	0.00676234i
$265$	1.50158			0.0922415
$266$	18.8300	−	24.1075i	1.15454	−	1.47813i
$267$			7.19139i			0.440106i
$268$	−4.40022	+	4.21160i	−0.268786	+	0.257264i
$269$	7.48044	−	20.5523i	0.456090	−	1.25310i	−0.472283	−	0.881447i	$-0.656570\pi$
$269$	7.48044	−	20.5523i	0.456090	−	1.25310i	0.928373	−	0.371650i	$-0.121208\pi$
$270$	−4.52319	−	6.03032i	−0.275273	−	0.366994i
$271$	−0.754137	−	4.27693i	−0.0458106	−	0.259805i	0.953297	−	0.302033i	$-0.0976654\pi$
$271$	−0.754137	−	4.27693i	−0.0458106	−	0.259805i	−0.999108	+	0.0422285i	$0.986554\pi$
$272$	11.8359	−	6.15891i	0.717658	−	0.373439i
$273$	31.4310	−	54.4402i	1.90229	−	3.29487i
$274$	−5.91394	−	1.37920i	−0.357274	−	0.0833202i
$275$	−3.04287	+	3.62635i	−0.183492	+	0.218677i
$276$	1.53771	+	1.12769i	0.0925594	+	0.0678791i
$277$	−22.6098	+	13.0538i	−1.35849	+	0.784327i	−0.989421	−	0.145074i	$-0.953658\pi$
$277$	−22.6098	+	13.0538i	−1.35849	+	0.784327i	−0.369073	+	0.929400i	$0.620325\pi$
$278$	−8.90492	+	2.70088i	−0.534081	+	0.161988i
$279$	−22.6568	+	8.24640i	−1.35643	+	0.493699i
$280$	−14.2903	−	8.04629i	−0.854009	−	0.480858i
$281$	0.552605	−	3.13398i	0.0329657	−	0.186957i	−0.963878	−	0.266343i	$-0.914185\pi$
$281$	0.552605	−	3.13398i	0.0329657	−	0.186957i	0.996844	+	0.0793854i	$0.0252958\pi$
$282$	−1.59152	−	3.14077i	−0.0947734	−	0.187030i
$283$	6.83573	+	8.14651i	0.406342	+	0.484260i	0.929943	−	0.367704i	$-0.119856\pi$
$283$	6.83573	+	8.14651i	0.406342	+	0.484260i	−0.523601	+	0.851964i	$0.675412\pi$
$284$	−1.48197	−	22.6391i	−0.0879388	−	1.34338i
$285$	13.6149	+	3.61389i	0.806479	+	0.214068i
$286$	5.76718	−	6.15705i	0.341021	−	0.364074i
$287$	−35.7954	+	30.0359i	−2.11294	+	1.77297i
$288$	−21.7109	+	14.8453i	−1.27933	+	0.874765i
$289$	−1.01995	+	5.78445i	−0.0599974	+	0.340262i
$290$	1.94545	+	1.26955i	0.114241	+	0.0745503i
$291$	−3.48568	−	9.57682i	−0.204334	−	0.561403i
$292$	2.66012	+	1.31210i	0.155672	+	0.0767849i
$293$	21.9095	−	12.6495i	1.27997	−	0.738990i	0.303126	−	0.952950i	$-0.401970\pi$
$293$	21.9095	−	12.6495i	1.27997	−	0.738990i	0.976842	+	0.213960i	$0.0686363\pi$
$294$	−8.24919	−	68.4416i	−0.481102	−	3.99160i
$295$	8.45027	+	7.09062i	0.491994	+	0.412832i
$296$	−8.76592	−	1.44837i	−0.509509	−	0.0841850i
$297$	2.97068	−	5.14536i	0.172376	−	0.298564i
$298$	−14.9896	−	6.40208i	−0.868326	−	0.370863i
$299$	−1.55498	+	0.274184i	−0.0899265	+	0.0158565i
$300$	−2.19048	+	19.9859i	−0.126467	+	1.15389i
$301$	−11.4369	+	31.4226i	−0.659211	+	1.81117i
$302$	−1.00603	+	18.4130i	−0.0578906	+	1.05955i
$303$	−4.92968			−0.283203
$304$	5.20669	−	16.6400i	0.298624	−	0.954371i
$305$	3.45388			0.197768
$306$	−1.19654	+	21.8998i	−0.0684018	+	1.25193i
$307$	−1.34290	+	3.68958i	−0.0766431	+	0.210575i	−0.972097	−	0.234579i	$-0.924629\pi$
$307$	−1.34290	+	3.68958i	−0.0766431	+	0.210575i	0.895454	+	0.445154i	$0.146851\pi$
$308$	1.40826	−	12.8489i	0.0802429	−	0.732135i
$309$	40.6600	−	7.16945i	2.31307	−	0.407856i
$310$	−7.88051	−	3.36577i	−0.447583	−	0.191163i
$311$	2.32265	−	4.02294i	0.131705	−	0.228120i	−0.792629	−	0.609705i	$-0.791288\pi$
$311$	2.32265	−	4.02294i	0.131705	−	0.228120i	0.924334	+	0.381584i	$0.124621\pi$
$312$	5.84093	−	35.3508i	0.330678	−	2.00134i
$313$	−15.0484	−	12.6271i	−0.850584	−	0.713725i	0.109334	−	0.994005i	$-0.465128\pi$
$313$	−15.0484	−	12.6271i	−0.850584	−	0.713725i	−0.959918	+	0.280280i	$0.909573\pi$
$314$	0.886441	+	7.35460i	0.0500248	+	0.415044i
$315$	23.3466	−	13.4792i	1.31543	−	0.759465i
$316$	−16.7067	−	8.24052i	−0.939823	−	0.463566i
$317$	8.18980	+	22.5013i	0.459985	+	1.26380i	0.925496	+	0.378757i	$0.123648\pi$
$317$	8.18980	+	22.5013i	0.459985	+	1.26380i	−0.465511	+	0.885042i	$0.654130\pi$
$318$	4.20951	+	2.74701i	0.236058	+	0.154045i
$319$	−0.317941	+	1.80313i	−0.0178013	+	0.100956i
$320$	−9.23843	−	1.42427i	−0.516444	−	0.0796192i
$321$	−15.3461	+	12.8769i	−0.856537	+	0.718720i
$322$	−1.65387	+	1.76567i	−0.0921664	+	0.0983969i
$323$	−8.36750	−	11.8905i	−0.465580	−	0.661607i
$324$	0.173915	+	2.65678i	0.00966193	+	0.147599i
$325$	−10.7011	−	12.7531i	−0.593591	−	0.707414i
$326$	−4.17618	−	8.24145i	−0.231297	−	0.456452i
$327$	−0.399142	+	2.26365i	−0.0220726	+	0.125180i
$328$	−13.0674	+	23.2078i	−0.721524	+	1.28144i
$329$	4.19766	−	1.52782i	0.231424	−	0.0842316i
$330$	5.69602	−	1.72761i	0.313556	−	0.0951020i
$331$	−7.14279	+	4.12389i	−0.392603	+	0.226669i	−0.683287	−	0.730150i	$-0.739450\pi$
$331$	−7.14279	+	4.12389i	−0.392603	+	0.226669i	0.290684	+	0.956819i	$0.406117\pi$
$332$	20.8571	+	15.2957i	1.14468	+	0.839463i
$333$	9.38785	−	11.1880i	0.514451	−	0.613099i
$334$	−33.2361	−	7.75101i	−1.81860	−	0.424117i
$335$	1.77923	−	3.08172i	0.0972099	−	0.168372i
$336$	−25.3412	−	48.6997i	−1.38248	−	2.65679i
$337$	−1.53286	−	8.69330i	−0.0835004	−	0.473554i	−0.997670	−	0.0682227i	$-0.978267\pi$
$337$	−1.53286	−	8.69330i	−0.0835004	−	0.473554i	0.914170	−	0.405332i	$-0.132844\pi$
$338$	6.77055	+	9.02650i	0.368269	+	0.490977i
$339$	−12.6812	+	34.8413i	−0.688748	+	1.89232i
$340$	−5.63125	+	5.38986i	−0.305398	+	0.292306i
$341$		−	6.75396i		−	0.365748i
$342$	19.1805	+	21.2968i	1.03716	+	1.15160i
$343$	52.7237			2.84681
$344$	0.205547	+	19.0586i	0.0110824	+	1.02757i
$345$	−1.04687	−	0.381029i	−0.0563615	−	0.0205139i
$346$	−4.11651	+	3.08769i	−0.221305	+	0.165995i
$347$	26.0874	−	4.59991i	1.40044	−	0.246936i	0.578118	−	0.815953i	$-0.303787\pi$
$347$	26.0874	−	4.59991i	1.40044	−	0.246936i	0.822326	+	0.569017i	$0.192676\pi$
$348$	3.13132	+	7.11805i	0.167856	+	0.381568i
$349$	−2.51203	−	1.45032i	−0.134466	−	0.0776340i	0.431258	−	0.902229i	$-0.358070\pi$
$349$	−2.51203	−	1.45032i	−0.134466	−	0.0776340i	−0.565724	+	0.824595i	$0.691403\pi$
$350$	−24.8412	−	5.79324i	−1.32782	−	0.309662i
$351$	16.0061	+	13.4307i	0.854341	+	0.716877i
$352$	−1.82763	−	7.13719i	−0.0974130	−	0.380413i
$353$	16.4834	+	28.5502i	0.877325	+	1.51957i	0.854265	+	0.519837i	$0.174007\pi$
$353$	16.4834	+	28.5502i	0.877325	+	1.51957i	0.0230598	+	0.999734i	$0.492659\pi$
$354$	10.7177	+	35.3368i	0.569639	+	1.87813i
$355$	4.53334	+	12.4553i	0.240605	+	0.661056i
$356$	−5.05138	+	1.23562i	−0.267723	+	0.0654879i
$357$	−45.0845	−	7.94961i	−2.38612	−	0.420738i
$358$	1.28534	+	2.53655i	0.0679325	+	0.134061i
$359$	4.21223	−	3.53448i	0.222313	−	0.186543i	−0.524828	−	0.851208i	$-0.675870\pi$
$359$	4.21223	−	3.53448i	0.222313	−	0.186543i	0.747141	+	0.664665i	$0.231426\pi$
$360$	9.74935	−	11.8766i	0.513836	−	0.625953i
$361$	−18.7266	−	3.21146i	−0.985612	−	0.169024i
$362$	−2.16361	−	2.02661i	−0.113717	−	0.106516i
$363$	−16.5402	−	19.7118i	−0.868134	−	1.03460i
$364$	43.6404	+	12.7239i	2.28738	+	0.666914i
$365$	−1.70655	−	0.300911i	−0.0893250	−	0.0157504i
$366$	9.68255	+	6.31856i	0.506115	+	0.330277i
$367$	−14.4092	+	5.24452i	−0.752154	+	0.273762i	−0.689512	−	0.724274i	$-0.742175\pi$
$367$	−14.4092	+	5.24452i	−0.752154	+	0.273762i	−0.0626421	+	0.998036i	$0.519953\pi$
$368$	−0.527905	+	1.27388i	−0.0275189	+	0.0664056i
$369$	−21.8905	−	37.9154i	−1.13957	−	1.97380i
$370$	5.15339	−	0.621132i	0.267912	−	0.0322911i
$371$	−4.09915	+	4.88517i	−0.212817	+	0.253626i
$372$	−15.9347	−	23.8522i	−0.826177	−	1.23668i
$373$	−4.42487	−	2.55470i	−0.229111	−	0.132277i	0.381051	−	0.924554i	$-0.375562\pi$
$373$	−4.42487	−	2.55470i	−0.229111	−	0.132277i	−0.610162	+	0.792277i	$0.708896\pi$
$374$	−5.65001	−	2.41312i	−0.292155	−	0.124780i
$375$	−4.84554	−	27.4804i	−0.250223	−	1.41908i
$376$	1.93268	−	1.65756i	0.0996706	−	0.0854821i
$377$	−6.05073	−	2.20228i	−0.311628	−	0.113423i
$378$	31.9665	+	1.74656i	1.64418	+	0.0898332i
$379$		−	36.8883i		−	1.89483i	−0.320014	−	0.947413i	$-0.603688\pi$
$379$		−	36.8883i		−	1.89483i	0.320014	−	0.947413i	$-0.396312\pi$
$380$	−0.199153	+	10.1843i	−0.0102164	+	0.522446i
$381$		−	31.7721i		−	1.62773i
$382$	−0.271230	+	4.96422i	−0.0138774	+	0.253992i
$383$	−29.7129	−	10.8146i	−1.51826	−	0.552600i	−0.557544	−	0.830147i	$-0.688256\pi$
$383$	−29.7129	−	10.8146i	−1.51826	−	0.552600i	−0.960712	+	0.277547i	$0.910479\pi$
$384$	−23.2933	−	20.8937i	−1.18868	−	1.06623i
$385$	1.31132	+	7.43687i	0.0668311	+	0.379018i
$386$	4.43690	−	10.3884i	0.225832	−	0.528757i
$387$	−27.1330	−	15.6653i	−1.37925	−	0.796310i
$388$	6.12805	−	4.09390i	0.311104	−	0.207836i
$389$	3.66036	−	4.36225i	0.185588	−	0.221175i	−0.665226	−	0.746642i	$-0.731665\pi$
$389$	3.66036	−	4.36225i	0.185588	−	0.221175i	0.850814	+	0.525467i	$0.176109\pi$
$390$	2.50487	+	20.7824i	0.126839	+	1.05236i
$391$	0.574948	+	0.995840i	0.0290764	+	0.0503618i
$392$	46.6574	−	17.5540i	2.35656	−	0.886612i
$393$	42.6753	−	15.5325i	2.15268	−	0.783513i
$394$	−12.2512	+	18.7737i	−0.617206	+	0.945805i
$395$	10.7178	+	1.88984i	0.539273	+	0.0950883i
$396$	11.6266	+	3.38990i	0.584261	+	0.170349i
$397$	5.48790	+	6.54022i	0.275430	+	0.328244i	0.885972	−	0.463740i	$-0.153493\pi$
$397$	5.48790	+	6.54022i	0.275430	+	0.328244i	−0.610542	+	0.791984i	$0.709048\pi$
$398$	16.3900	−	17.4979i	0.821554	−	0.877092i
$399$	−48.9244	+	34.4286i	−2.44929	+	1.72359i
$400$	−14.4149	+	1.89533i	−0.720743	+	0.0947667i
$401$	−11.0246	+	9.25072i	−0.550541	+	0.461959i	−0.875124	−	0.483898i	$-0.839220\pi$
$401$	−11.0246	+	9.25072i	−0.550541	+	0.461959i	0.324583	+	0.945857i	$0.394776\pi$
$402$	10.6256	−	5.38430i	0.529957	−	0.268545i
$403$	23.3914	+	4.12453i	1.16521	+	0.205457i
$404$	−0.847016	−	3.46270i	−0.0421406	−	0.172276i
$405$	−0.532004	−	1.46167i	−0.0264355	−	0.0726310i
$406$	−9.44113	+	2.86351i	−0.468556	+	0.142114i
$407$	2.04557	+	3.54303i	0.101395	+	0.175622i
$408$	−25.6469	+	4.80798i	−1.26971	+	0.238030i
$409$	−12.0820	−	10.1380i	−0.597414	−	0.501290i	0.293199	−	0.956051i	$-0.405280\pi$
$409$	−12.0820	−	10.1380i	−0.597414	−	0.501290i	−0.890613	+	0.454761i	$0.849725\pi$
$410$	3.53395	−	15.1535i	0.174529	−	0.748376i
$411$	10.2851	+	5.93808i	0.507324	+	0.292904i
$412$	12.0222	+	27.3285i	0.592289	+	1.34638i
$413$	−46.1365	+	8.13512i	−2.27023	+	0.400303i
$414$	−1.36011	−	1.81330i	−0.0668459	−	0.0891189i
$415$	−14.1995	−	5.16818i	−0.697024	−	0.253696i
$416$	25.8347	−	1.97118i	1.26665	−	0.0966449i
$417$	18.1986			0.891190
$418$	−7.44354	+	3.00846i	−0.364075	+	0.147148i
$419$			23.7276i			1.15917i	0.814911	+	0.579586i	$0.196786\pi$
$419$			23.7276i			1.15917i	−0.814911	+	0.579586i	$0.803214\pi$
$420$	22.1770	+	23.1702i	1.08212	+	1.13059i
$421$	−10.8769	+	29.8841i	−0.530109	+	1.45646i	0.328833	+	0.944388i	$0.393345\pi$
$421$	−10.8769	+	29.8841i	−0.530109	+	1.45646i	−0.858942	+	0.512073i	$0.828878\pi$
$422$	−6.92980	+	5.19787i	−0.337337	+	0.253028i
$423$	0.726780	+	4.12178i	0.0353373	+	0.200408i
$424$	−1.20628	+	3.42884i	−0.0585821	+	0.166519i
$425$	−6.06203	+	10.4997i	−0.294052	+	0.509312i
$426$	−10.0771	+	43.2102i	−0.488237	+	2.09354i
$427$	−9.42869	+	11.2367i	−0.456286	+	0.543781i
$428$	−11.6818	−	8.56692i	−0.564660	−	0.414098i
$429$	−14.2882	+	8.24929i	−0.689840	+	0.398279i
$430$	−3.23191	−	10.6558i	−0.155857	−	0.513866i
$431$	8.05218	−	2.93076i	0.387860	−	0.141170i	−0.140727	−	0.990048i	$-0.544944\pi$
$431$	8.05218	−	2.93076i	0.387860	−	0.141170i	0.528587	+	0.848879i	$0.322722\pi$
$432$	17.4038	−	5.48424i	0.837340	−	0.263861i
$433$	−0.880426	+	4.99314i	−0.0423106	+	0.239955i	−0.998627	−	0.0523771i	$-0.983320\pi$
$433$	−0.880426	+	4.99314i	−0.0423106	+	0.239955i	0.956317	+	0.292332i	$0.0944313\pi$
$434$	32.4629	−	16.4499i	1.55827	−	0.789620i
$435$	−2.92027	−	3.48024i	−0.140016	−	0.166865i
$436$	−1.65861	+	0.108574i	−0.0794331	+	0.00519974i
$437$	1.45236	+	0.385509i	0.0694760	+	0.0184414i
$438$	−4.23363	−	3.96555i	−0.202291	−	0.189482i
$439$	20.5125	−	17.2120i	0.979009	−	0.821486i	−0.00493087	−	0.999988i	$-0.501570\pi$
$439$	20.5125	−	17.2120i	0.979009	−	0.821486i	0.983940	+	0.178502i	$0.0571251\pi$
$440$	2.19220	+	3.70417i	0.104509	+	0.176589i
$441$	−14.2296	+	80.6998i	−0.677598	+	3.84285i
$442$	11.8079	−	18.0943i	0.561643	−	0.860659i
$443$	10.8240	+	29.7386i	0.514262	+	1.41292i	0.876755	+	0.480937i	$0.159703\pi$
$443$	10.8240	+	29.7386i	0.514262	+	1.41292i	−0.362493	+	0.931986i	$0.618074\pi$
$444$	15.5833	+	7.68641i	0.739549	+	0.364781i
$445$	2.63111	−	1.51907i	0.124727	−	0.0720109i
$446$	3.88056	−	0.467719i	0.183750	−	0.0221471i
$447$	24.4191	+	20.4900i	1.15498	+	0.969145i
$448$	29.8535	−	26.1678i	1.41045	−	1.23631i
$449$	−3.24728	+	5.62445i	−0.153249	+	0.265434i	−0.932420	−	0.361377i	$-0.882307\pi$
$449$	−3.24728	+	5.62445i	−0.153249	+	0.265434i	0.779171	+	0.626811i	$0.215640\pi$
$450$	9.38707	−	21.9786i	0.442511	−	1.03608i
$451$	12.0777	−	2.12962i	0.568715	−	0.100280i
$452$	−26.6521	−	2.92111i	−1.25361	−	0.137397i
$453$	12.3345	−	33.8888i	0.579527	−	1.59224i
$454$	32.2075	+	1.75972i	1.51157	+	0.0825878i
$455$	−26.5573			−1.24503
$456$	−19.1897	+	28.1863i	−0.898638	+	1.31994i
$457$	7.53719			0.352575			0.176288	−	0.984339i	$-0.443591\pi$
$457$	7.53719			0.352575			0.176288	+	0.984339i	$0.443591\pi$
$458$	−28.3332	−	1.54804i	−1.32392	−	0.0723352i
$459$	5.20438	−	14.2989i	0.242920	−	0.667416i
$460$	0.0877697	−	0.800810i	0.00409229	−	0.0373379i
$461$	12.6565	−	2.23168i	0.589470	−	0.103939i	0.129046	−	0.991639i	$-0.458808\pi$
$461$	12.6565	−	2.23168i	0.589470	−	0.103939i	0.460424	+	0.887699i	$0.347697\pi$
$462$	−9.92896	+	23.2474i	−0.461937	+	1.08156i
$463$	5.80079	−	10.0473i	0.269586	−	0.466936i	−0.699169	−	0.714956i	$-0.746447\pi$
$463$	5.80079	−	10.0473i	0.269586	−	0.466936i	0.968755	+	0.248020i	$0.0797800\pi$
$464$	−4.46184	+	3.42252i	−0.207136	+	0.158887i
$465$	12.8378	+	10.7722i	0.595341	+	0.499550i
$466$	−34.1404	+	4.11490i	−1.58152	+	0.190619i
$467$	12.7970	−	7.38834i	0.592174	−	0.341892i	−0.173783	−	0.984784i	$-0.555599\pi$
$467$	12.7970	−	7.38834i	0.592174	−	0.341892i	0.765957	+	0.642892i	$0.222266\pi$
$468$	−18.8406	+	38.1970i	−0.870907	+	1.76566i
$469$	5.16882	+	14.2012i	0.238674	+	0.655751i
$470$	−0.812926	+	1.24573i	−0.0374975	+	0.0574610i
$471$	2.51571	−	14.2673i	0.115918	−	0.657402i
$472$	−22.9797	+	13.5999i	−1.05773	+	0.625985i
$473$	6.72307	−	5.64133i	0.309127	−	0.259388i
$474$	26.5889	+	24.9053i	1.22127	+	1.14394i
$475$	4.13648	+	15.2939i	0.189795	+	0.701733i
$476$	−2.16244	−	33.0342i	−0.0991151	−	1.51412i
$477$	−3.84065	−	4.57711i	−0.175851	−	0.209572i
$478$	1.62941	−	0.825670i	0.0745276	−	0.0377653i
$479$	5.48085	−	31.0835i	0.250427	−	1.42024i	−0.557118	−	0.830433i	$-0.688093\pi$
$479$	5.48085	−	31.0835i	0.250427	−	1.42024i	0.807545	−	0.589806i	$-0.200796\pi$
$480$	16.4812	+	7.90951i	0.752263	+	0.361018i
$481$	−13.5200	+	4.92087i	−0.616458	+	0.224372i
$482$	5.14203	+	16.9535i	0.234213	+	0.772211i
$483$	4.09745	−	2.36566i	0.186440	−	0.107641i
$484$	11.0040	−	15.0050i	0.500184	−	0.682047i
$485$	−2.76757	+	3.29826i	−0.125669	+	0.149766i
$486$	5.57827	−	23.9194i	0.253035	−	1.08501i
$487$	−7.17526	+	12.4279i	−0.325142	+	0.563162i	−0.981541	−	0.191252i	$-0.938745\pi$
$487$	−7.17526	+	12.4279i	−0.325142	+	0.563162i	0.656399	+	0.754414i	$0.272079\pi$
$488$	−2.77463	+	7.88687i	−0.125602	+	0.357022i
$489$	3.13763	+	17.7944i	0.141888	+	0.804689i
$490$	−23.2982	+	17.4754i	−1.05250	+	0.789457i
$491$	−7.33922	+	20.1643i	−0.331214	+	0.910004i	0.656582	+	0.754254i	$0.272001\pi$
$491$	−7.33922	+	20.1643i	−0.331214	+	0.910004i	−0.987797	+	0.155749i	$0.950221\pi$
$492$	37.6289	−	36.0159i	1.69644	−	1.62372i
$493$			4.68930i			0.211196i
$494$	−5.87371	−	27.6168i	−0.264271	−	1.24254i
$495$	−7.07539			−0.318015
$496$	14.0164	−	15.2912i	0.629355	−	0.686593i
$497$	−52.8968	−	19.2529i	−2.37275	−	0.863609i
$498$	−30.3518	−	40.4650i	−1.36010	−	1.81328i
$499$	6.43777	−	1.13515i	0.288194	−	0.0508164i	−0.0276823	−	0.999617i	$-0.508813\pi$
$499$	6.43777	−	1.13515i	0.288194	−	0.0508164i	0.315876	+	0.948800i	$0.397702\pi$
$500$	18.4702	−	8.12528i	0.826014	−	0.363374i
$501$	57.8016	+	33.3717i	2.58238	+	1.49094i
$502$	7.55284	−	32.3863i	0.337100	−	1.44547i
$503$	−17.2486	−	14.4733i	−0.769076	−	0.645331i	0.171396	−	0.985202i	$-0.445172\pi$
$503$	−17.2486	−	14.4733i	−0.769076	−	0.645331i	−0.940472	+	0.339871i	$0.889617\pi$
$504$	12.0242	+	64.1399i	0.535601	+	2.85702i
$505$	1.04132	+	1.80362i	0.0463381	+	0.0802599i
$506$	0.607620	−	0.184292i	0.0270120	−	0.00819278i
$507$	−7.54737	−	20.7362i	−0.335190	−	0.920928i
$508$	22.3174	−	5.45907i	0.990172	−	0.242207i
$509$	−25.1079	−	4.42720i	−1.11289	−	0.196232i	−0.413172	−	0.910653i	$-0.635579\pi$
$509$	−25.1079	−	4.42720i	−1.11289	−	0.196232i	−0.699716	+	0.714421i	$0.746690\pi$
$510$	13.5983	−	6.89066i	0.602143	−	0.305123i
$511$	5.63766	−	4.73056i	0.249395	−	0.209268i
$512$	10.6739	−	19.9516i	0.471724	−	0.881746i
$513$	−8.44590	−	18.0019i	−0.372895	−	0.794802i
$514$	3.11593	−	3.32657i	0.137438	−	0.146729i
$515$	−11.2119	−	13.3618i	−0.494054	−	0.588791i
$516$	10.4335	−	35.7847i	0.459309	−	1.57533i
$517$	−1.15460	−	0.203587i	−0.0507791	−	0.00895373i
$518$	−12.0474	+	18.4614i	−0.529333	+	0.811148i
$519$	9.45669	−	3.44195i	0.415102	−	0.151085i
$520$	−14.1676	+	5.33030i	−0.621289	+	0.233749i
$521$	5.06712	+	8.77650i	0.221994	+	0.384506i	0.955413	−	0.295271i	$-0.0954100\pi$
$521$	5.06712	+	8.77650i	0.221994	+	0.384506i	−0.733419	+	0.679777i	$0.762077\pi$
$522$	−1.10612	−	9.17727i	−0.0484138	−	0.401678i
$523$	−14.9088	+	17.7676i	−0.651916	+	0.776923i	−0.986202	−	0.165549i	$-0.947060\pi$
$523$	−14.9088	+	17.7676i	−0.651916	+	0.776923i	0.334286	+	0.942472i	$0.391505\pi$
$524$	18.2428	+	27.3072i	0.796942	+	1.19292i
$525$	43.2019	+	24.9426i	1.88549	+	1.08859i
$526$	10.4911	−	24.5635i	0.457433	−	1.07102i
$527$	−3.00373	−	17.0350i	−0.130845	−	0.742056i
$528$	−0.630862	+	14.3946i	−0.0274547	+	0.626446i
$529$	21.5013	+	7.82582i	0.934837	+	0.340253i
$530$	0.115852	−	2.12040i	0.00503229	−	0.0921041i
$531$		−	43.8940i		−	1.90484i
$532$	−32.5896	−	28.4500i	−1.41294	−	1.23346i
$533$			43.1297i			1.86816i
$534$	10.1550	+	0.554840i	0.439451	+	0.0240103i
$535$	7.95290	+	2.89462i	0.343834	+	0.125145i
$536$	5.60773	+	6.53852i	0.242217	+	0.282421i
$537$	−0.965698	−	5.47675i	−0.0416729	−	0.236339i
$538$	−28.4450	−	12.1489i	−1.22635	−	0.523775i
$539$	−19.8791	−	11.4772i	−0.856255	−	0.494359i
$540$	−8.86444	+	5.92197i	−0.381465	+	0.254841i
$541$	10.4897	−	12.5011i	0.450986	−	0.537464i	−0.491868	−	0.870670i	$-0.663686\pi$
$541$	10.4897	−	12.5011i	0.450986	−	0.537464i	0.942854	+	0.333206i	$0.108130\pi$
$542$	−6.09766	+	0.734944i	−0.261917	+	0.0315685i
$543$	2.89884	+	5.02093i	0.124401	+	0.215469i
$544$	−7.78386	−	17.1888i	−0.333730	−	0.736962i
$545$	0.912511	−	0.332127i	0.0390877	−	0.0142267i
$546$	−74.4504	−	48.5843i	−3.18618	−	2.07921i
$547$	−34.8389	−	6.14305i	−1.48961	−	0.262658i	−0.631196	−	0.775623i	$-0.717436\pi$
$547$	−34.8389	−	6.14305i	−1.48961	−	0.262658i	−0.858409	+	0.512965i	$0.828547\pi$
$548$	−2.40385	+	8.24471i	−0.102687	+	0.352197i
$549$	−8.83411	−	10.5281i	−0.377031	−	0.449328i
$550$	4.88603	+	4.57664i	0.208341	+	0.195149i
$551$	4.34321	+	4.32288i	0.185027	+	0.184161i
$552$	1.71106	−	2.08441i	0.0728277	−	0.0887184i
$553$	−35.4068	+	29.7098i	−1.50565	+	1.26339i
$554$	16.6889	+	32.9347i	0.709045	+	1.39926i
$555$	−9.99714	−	1.76276i	−0.424355	−	0.0748252i
$556$	3.12688	+	12.7831i	0.132609	+	0.542123i
$557$	−5.98124	−	16.4333i	−0.253433	−	0.696302i	−0.999536	−	0.0304709i	$-0.990299\pi$
$557$	−5.98124	−	16.4333i	−0.253433	−	0.696302i	0.746102	−	0.665831i	$-0.231923\pi$
$558$	9.89675	+	32.6301i	0.418963	+	1.38134i
$559$	15.4322	+	26.7294i	0.652714	+	1.13053i
$560$	−12.4648	+	19.5586i	−0.526732	+	0.826504i
$561$	9.20422	+	7.72326i	0.388603	+	0.326076i
$562$	−4.38288	−	1.02213i	−0.184881	−	0.0431161i
$563$	20.4832	+	11.8260i	0.863263	+	0.498405i	0.865104	−	0.501593i	$-0.167253\pi$
$563$	20.4832	+	11.8260i	0.863263	+	0.498405i	−0.00184065	+	0.999998i	$0.500586\pi$
$564$	−4.55789	+	2.00507i	−0.191922	+	0.0844287i
$565$	15.4261	−	2.72003i	0.648980	−	0.114433i
$566$	12.0311	−	9.02426i	0.505707	−	0.379318i
$567$	6.20764	+	2.25940i	0.260696	+	0.0948857i
$568$	−32.0832	+	0.346018i	−1.34618	+	0.0145186i
$569$	−24.8034			−1.03981			−0.519907	−	0.854223i	$-0.674033\pi$
$569$	−24.8034			−1.03981			−0.519907	+	0.854223i	$0.674033\pi$
$570$	6.15363	−	18.9469i	0.257747	−	0.793599i
$571$		−	19.2471i		−	0.805467i	−0.915317	−	0.402734i	$-0.868060\pi$
$571$		−	19.2471i		−	0.805467i	0.915317	−	0.402734i	$-0.131940\pi$
$572$	−8.24946	−	8.61892i	−0.344927	−	0.360375i
$573$	3.32544	−	9.13657i	0.138922	−	0.381686i
$574$	39.6522	+	52.8644i	1.65505	+	2.20652i
$575$	−0.217583	−	1.23398i	−0.00907385	−	0.0514604i
$576$	19.2880	+	31.8034i	0.803668	+	1.32514i
$577$	−1.47041	+	2.54682i	−0.0612140	+	0.106026i	−0.895008	−	0.446049i	$-0.852831\pi$
$577$	−1.47041	+	2.54682i	−0.0612140	+	0.106026i	0.833794	+	0.552075i	$0.186164\pi$
$578$	8.08957	+	1.88658i	0.336482	+	0.0784712i
$579$	−14.2004	+	16.9234i	−0.590149	+	0.703312i
$580$	1.94283	−	2.64923i	0.0806718	−	0.110003i
$581$	55.5768	−	32.0873i	2.30571	−	1.33120i
$582$	−13.7924	+	4.18327i	−0.571715	+	0.173402i
$583$	1.57279	−	0.572447i	0.0651381	−	0.0237083i
$584$	2.05806	−	3.65515i	0.0851633	−	0.151251i
$585$	4.32082	−	24.5046i	0.178644	−	1.01314i
$586$	−16.1720	−	31.9146i	−0.668060	−	1.31838i
$587$	−16.7864	−	20.0052i	−0.692847	−	0.825703i	0.298850	−	0.954300i	$-0.403397\pi$
$587$	−16.7864	−	20.0052i	−0.692847	−	0.825703i	−0.991697	+	0.128597i	$0.958953\pi$
$588$	−97.2834	+	6.36824i	−4.01190	+	0.262622i
$589$	−18.5468	−	12.9218i	−0.764206	−	0.532435i
$590$	10.6647	−	11.3856i	0.439058	−	0.468739i
$591$	33.5846	−	28.1808i	1.38148	−	1.15920i
$592$	−2.72158	+	12.2667i	−0.111856	+	0.504157i
$593$	5.00003	−	28.3566i	0.205326	−	1.16446i	−0.691599	−	0.722282i	$-0.743093\pi$
$593$	5.00003	−	28.3566i	0.205326	−	1.16446i	0.896925	−	0.442182i	$-0.145796\pi$
$594$	−7.03661	−	4.59190i	−0.288715	−	0.188408i
$595$	6.61489	+	18.1743i	0.271184	+	0.745072i
$596$	−10.1969	+	20.6730i	−0.417683	+	0.846801i
$597$	−40.6061	+	23.4439i	−1.66190	+	0.959496i
$598$	0.267206	+	2.21695i	0.0109269	+	0.0906577i
$599$	2.35865	+	1.97914i	0.0963718	+	0.0808655i	0.689701	−	0.724095i	$-0.257742\pi$
$599$	2.35865	+	1.97914i	0.0963718	+	0.0808655i	−0.593329	+	0.804960i	$0.702187\pi$
$600$	28.0532	+	4.63517i	1.14527	+	0.189230i
$601$	16.9867	−	29.4219i	0.692903	−	1.20014i	−0.277979	−	0.960587i	$-0.589665\pi$
$601$	16.9867	−	29.4219i	0.692903	−	1.20014i	0.970882	−	0.239557i	$-0.0770021\pi$
$602$	43.4897	+	18.5745i	1.77251	+	0.757039i
$603$	−13.9445	+	2.45879i	−0.567864	+	0.100130i
$604$	25.9235	+	2.84125i	1.05481	+	0.115609i
$605$	−3.71809	+	10.2154i	−0.151162	+	0.415313i
$606$	−0.380341	+	6.96123i	−0.0154503	+	0.282781i
$607$	−25.0486			−1.01669			−0.508346	−	0.861153i	$-0.669743\pi$
$607$	−25.0486			−1.01669			−0.508346	+	0.861153i	$0.669743\pi$
$608$	−23.0958	−	8.63624i	−0.936658	−	0.350246i
$609$	19.2945			0.781851
$610$	0.266478	−	4.87725i	0.0107894	−	0.197474i
$611$	1.41018	−	3.87445i	0.0570499	−	0.156743i
$612$	30.8326	+	3.37929i	1.24633	+	0.136600i
$613$	−19.6927	+	3.47236i	−0.795382	+	0.140247i	−0.556550	−	0.830814i	$-0.687875\pi$
$613$	−19.6927	+	3.47236i	−0.795382	+	0.140247i	−0.238831	+	0.971061i	$0.576764\pi$
$614$	5.10647	+	2.18098i	0.206080	+	0.0880171i
$615$	−15.2153	+	26.3537i	−0.613540	+	1.06268i
$616$	−18.0354	−	2.97995i	−0.726667	−	0.120066i
$617$	−17.0601	−	14.3151i	−0.686813	−	0.576305i	0.231175	−	0.972912i	$-0.425743\pi$
$617$	−17.0601	−	14.3151i	−0.686813	−	0.576305i	−0.917988	+	0.396607i	$0.870187\pi$
$618$	−6.98698	−	57.9694i	−0.281058	−	2.33187i
$619$	−11.0491	+	6.37919i	−0.444100	+	0.256401i	−0.705335	−	0.708874i	$-0.749204\pi$
$619$	−11.0491	+	6.37919i	−0.444100	+	0.256401i	0.261235	+	0.965275i	$0.415870\pi$
$620$	−5.36084	+	10.8684i	−0.215296	+	0.436487i
$621$	0.537869	+	1.47778i	0.0215839	+	0.0593014i
$622$	−5.50163	−	3.59021i	−0.220595	−	0.143954i
$623$	−2.24055	+	12.7068i	−0.0897659	+	0.509088i
$624$	−49.4685	−	10.9755i	−1.98032	−	0.439370i
$625$	4.89114	−	4.10415i	0.195645	−	0.164166i
$626$	−18.9918	+	20.2757i	−0.759066	+	0.810380i
$627$	15.6382	−	1.40516i	0.624531	−	0.0561165i
$628$	10.4539	−	0.684318i	0.417155	−	0.0273073i
$629$	6.73510	+	8.02658i	0.268546	+	0.320041i
$630$	−17.2328	−	34.0079i	−0.686569	−	1.35491i
$631$	−2.33963	+	13.2687i	−0.0931394	+	0.528220i	0.902162	+	0.431397i	$0.141979\pi$
$631$	−2.33963	+	13.2687i	−0.0931394	+	0.528220i	−0.995302	+	0.0968228i	$0.969132\pi$
$632$	−12.9255	+	22.9558i	−0.514148	+	0.913133i
$633$	15.9196	−	5.79425i	0.632746	−	0.230301i
$634$	32.4061	−	9.82883i	1.28701	−	0.390353i
$635$	−11.6244	+	6.71136i	−0.461301	+	0.266332i
$636$	4.20385	−	5.73234i	0.166694	−	0.227302i
$637$	51.8895	−	61.8395i	2.05594	−	2.45017i
$638$	2.52169	+	0.588085i	0.0998345	+	0.0232825i
$639$	26.3709	−	45.6758i	1.04322	−	1.80691i
$640$	−2.72400	+	12.9358i	−0.107676	+	0.511331i
$641$	2.62021	+	14.8599i	0.103492	+	0.586932i	0.991812	+	0.127707i	$0.0407618\pi$
$641$	2.62021	+	14.8599i	0.103492	+	0.586932i	−0.888320	+	0.459225i	$0.848127\pi$
$642$	16.9996	+	22.6639i	0.670921	+	0.894472i
$643$	13.0609	−	35.8846i	0.515072	−	1.41515i	−0.360817	−	0.932637i	$-0.617502\pi$
$643$	13.0609	−	35.8846i	0.515072	−	1.41515i	0.875889	−	0.482512i	$-0.160276\pi$
$644$	2.36571	+	2.47166i	0.0932222	+	0.0973972i
$645$			21.7768i			0.857459i
$646$	−17.4363	+	10.8984i	−0.686022	+	0.428792i
$647$	13.0265			0.512126			0.256063	−	0.966660i	$-0.417575\pi$
$647$	13.0265			0.512126			0.256063	+	0.966660i	$0.417575\pi$
$648$	3.76508	−	0.0406065i	0.147906	−	0.00159518i
$649$	11.5541	+	4.20536i	0.453539	+	0.165075i
$650$	−18.8343	+	14.1272i	−0.738744	+	0.554113i
$651$	−70.0917	+	12.3591i	−2.74711	+	0.484390i
$652$	−11.9600	+	5.26136i	−0.468390	+	0.206051i
$653$	−5.04628	−	2.91347i	−0.197476	−	0.114013i	0.398001	−	0.917385i	$-0.369704\pi$
$653$	−5.04628	−	2.91347i	−0.197476	−	0.114013i	−0.595478	+	0.803372i	$0.703037\pi$
$654$	3.16572	+	0.738279i	0.123789	+	0.0288690i
$655$	−14.6974	−	12.3326i	−0.574274	−	0.481873i
$656$	31.7637	+	20.2431i	1.24016	+	0.790359i
$657$	3.44768	+	5.97155i	0.134507	+	0.232972i
$658$	−1.83359	−	6.04542i	−0.0714806	−	0.235675i
$659$	−9.27068	−	25.4710i	−0.361135	−	0.992209i	−0.978629	−	0.205634i	$-0.934074\pi$
$659$	−9.27068	−	25.4710i	−0.361135	−	0.992209i	0.617494	−	0.786575i	$-0.288148\pi$
$660$	−2.00011	−	8.17669i	−0.0778541	−	0.318277i
$661$	29.2719	+	5.16143i	1.13855	+	0.200756i	0.710969	−	0.703223i	$-0.248256\pi$
$661$	29.2719	+	5.16143i	1.13855	+	0.200756i	0.427576	+	0.903979i	$0.359367\pi$
$662$	5.27229	+	10.4046i	0.204913	+	0.404384i
$663$	−32.3692	+	27.1610i	−1.25712	+	1.05485i
$664$	23.2084	−	28.2724i	0.900662	−	1.09718i
$665$	22.9309	+	10.6274i	0.889223	+	0.412114i
$666$	−15.0744	−	14.1198i	−0.584120	−	0.547133i
$667$	−0.311518	−	0.371253i	−0.0120620	−	0.0143750i
$668$	−13.5095	+	46.3349i	−0.522700	+	1.79275i
$669$	−7.52794	−	1.32738i	−0.291047	−	0.0513194i
$670$	−4.21445	−	2.75023i	−0.162818	−	0.106251i
$671$	3.61765	−	1.31672i	0.139658	−	0.0508314i
$672$	−70.7243	+	32.0272i	−2.72825	+	1.23548i
$673$	11.0413	+	19.1240i	0.425609	+	0.737177i	0.996477	−	0.0838649i	$-0.0267264\pi$
$673$	11.0413	+	19.1240i	0.425609	+	0.737177i	−0.570868	+	0.821042i	$0.693393\pi$
$674$	−12.3941	+	1.49385i	−0.477405	+	0.0575410i
$675$	−10.6581	+	12.7019i	−0.410232	+	0.488896i
$676$	13.2688	−	8.86432i	0.510337	−	0.340935i
$677$	−41.0192	−	23.6824i	−1.57650	−	0.910190i	−0.995343	−	0.0963949i	$-0.969269\pi$
$677$	−41.0192	−	23.6824i	−1.57650	−	0.910190i	−0.581152	−	0.813795i	$-0.697398\pi$
$678$	48.2213	+	20.5953i	1.85193	+	0.790959i
$679$	−3.17525	−	18.0077i	−0.121855	−	0.691074i
$680$	7.17660	+	8.36778i	0.275210	+	0.320890i
$681$	−59.2773	−	21.5752i	−2.27151	−	0.826763i
$682$	−9.53732	−	0.521091i	−0.365203	−	0.0199536i
$683$			20.8855i			0.799162i	0.916698	+	0.399581i	$0.130844\pi$
$683$			20.8855i			0.799162i	−0.916698	+	0.399581i	$0.869156\pi$
$684$	31.5532	−	25.4418i	1.20647	−	0.972792i
$685$		−	5.01731i		−	0.191702i
$686$	4.06781	−	74.4515i	0.155310	−	2.84257i
$687$	52.1467	+	18.9799i	1.98952	+	0.724127i
$688$	26.9286	+	1.18018i	1.02664	+	0.0449938i
$689$	1.02211	+	5.79669i	0.0389394	+	0.220836i
$690$	−0.618823	+	1.44889i	−0.0235582	+	0.0551584i
$691$	25.6149	+	14.7888i	0.974437	+	0.562591i	0.900586	−	0.434678i	$-0.143138\pi$
$691$	25.6149	+	14.7888i	0.974437	+	0.562591i	0.0738508	+	0.997269i	$0.476471\pi$
$692$	4.04254	+	6.05117i	0.153674	+	0.230031i
$693$	19.3150	−	23.0187i	0.733716	−	0.874409i
$694$	−4.48283	−	37.1931i	−0.170166	−	1.41183i
$695$	−3.84418	−	6.65832i	−0.145818	−	0.252564i
$696$	10.2930	−	3.87258i	0.390157	−	0.146790i
$697$	29.5154	−	10.7427i	1.11798	−	0.406910i
$698$	−2.24182	+	3.43536i	−0.0848543	+	0.130030i
$699$	66.2294	+	11.6780i	2.50503	+	0.441704i
$700$	−10.0973	+	34.6315i	−0.381641	+	1.30895i
$701$	21.7671	+	25.9411i	0.822134	+	0.979781i	0.999991	−	0.00427565i	$-0.00136099\pi$
$701$	21.7671	+	25.9411i	0.822134	+	0.979781i	−0.177857	+	0.984056i	$0.556917\pi$
$702$	20.2005	−	21.5661i	0.762418	−	0.813959i
$703$	13.6430	+	1.16135i	0.514556	+	0.0438013i
$704$	−10.2195	+	2.03015i	−0.385161	+	0.0765143i
$705$	2.22850	−	1.86993i	0.0839301	−	0.0704257i
$706$	41.5876	−	21.0736i	1.56517	−	0.793117i
$707$	−8.71048	−	1.53589i	−0.327591	−	0.0577632i
$708$	50.7262	−	12.4082i	1.90641	−	0.466328i
$709$	2.54599	+	6.99505i	0.0956167	+	0.262705i	0.978275	−	0.207310i	$-0.0664709\pi$
$709$	2.54599	+	6.99505i	0.0956167	+	0.262705i	−0.882659	+	0.470015i	$0.844249\pi$
$710$	17.9379	−	5.44060i	0.673198	−	0.204182i
$711$	−21.6528	−	37.5037i	−0.812043	−	1.40650i
$712$	1.35510	+	7.22842i	0.0507846	+	0.270897i
$713$	1.36947	+	1.14912i	0.0512870	+	0.0430349i
$714$	−14.7041	+	63.0508i	−0.550288	+	2.35962i
$715$	6.03632	+	3.48507i	0.225746	+	0.130334i
$716$	3.68105	−	1.61934i	0.137567	−	0.0605175i
$717$	−3.51812	+	0.620339i	−0.131386	+	0.0231670i
$718$	−4.66608	−	6.22082i	−0.174137	−	0.232159i
$719$	−3.11284	−	1.13298i	−0.116090	−	0.0422531i	0.283322	−	0.959025i	$-0.408563\pi$
$719$	−3.11284	−	1.13298i	−0.116090	−	0.0422531i	−0.399412	+	0.916772i	$0.630786\pi$
$720$	−16.0189	−	14.6835i	−0.596988	−	0.547220i
$721$	74.0778			2.75880
$722$	−5.97975	+	26.1962i	−0.222543	+	0.974923i
$723$		−	34.6472i		−	1.28854i
$724$	−3.02873	+	2.89890i	−0.112562	+	0.107737i
$725$	1.74766	−	4.80165i	0.0649064	−	0.178329i
$726$	−29.1113	+	21.8357i	−1.08042	+	0.810397i
$727$	−6.44524	−	36.5528i	−0.239041	−	1.35567i	−0.833935	−	0.551863i	$-0.813917\pi$
$727$	−6.44524	−	36.5528i	−0.239041	−	1.35567i	0.594894	−	0.803804i	$-0.297194\pi$
$728$	21.3345	−	60.6432i	0.790710	−	2.24759i
$729$	−22.0202	+	38.1401i	−0.815563	+	1.41260i
$730$	−0.556585	+	2.38662i	−0.0206001	+	0.0883327i
$731$	14.4482	−	17.2187i	0.534385	−	0.636856i
$732$	9.66953	−	13.1853i	0.357396	−	0.487343i
$733$	16.8038	−	9.70169i	0.620663	−	0.358340i	−0.156464	−	0.987684i	$-0.550010\pi$
$733$	16.8038	−	9.70169i	0.620663	−	0.358340i	0.777127	+	0.629344i	$0.216676\pi$
$734$	6.29411	+	20.7520i	0.232320	+	0.765969i
$735$	53.5220	−	19.4804i	1.97419	−	0.718546i
$736$	1.75813	+	0.843743i	0.0648054	+	0.0311008i
$737$	0.688759	−	3.90615i	0.0253708	−	0.143885i
$738$	−55.2296	+	27.9864i	−2.03303	+	1.03019i
$739$	10.2329	+	12.1951i	0.376424	+	0.448604i	0.920682	−	0.390313i	$-0.127633\pi$
$739$	10.2329	+	12.1951i	0.376424	+	0.448604i	−0.544258	+	0.838918i	$0.683189\pi$
$740$	−0.479504	−	7.32507i	−0.0176269	−	0.269275i
$741$	−4.68345	+	55.0189i	−0.172051	+	2.02117i
$742$	6.58213	+	6.16534i	0.241638	+	0.226337i
$743$	27.2271	−	22.8462i	0.998864	−	0.838146i	0.0120371	−	0.999928i	$-0.496168\pi$
$743$	27.2271	−	22.8462i	0.998864	−	0.838146i	0.986827	+	0.161781i	$0.0517239\pi$
$744$	−34.9114	+	20.6612i	−1.27991	+	0.757478i
$745$	2.33852	−	13.2624i	0.0856766	−	0.485896i
$746$	−3.94890	+	6.05129i	−0.144580	+	0.221553i
$747$	20.5649	+	56.5015i	0.752429	+	2.06728i
$748$	−3.84351	+	7.79224i	−0.140533	+	0.284913i
$749$	−31.1277	+	17.9716i	−1.13738	+	0.656668i
$750$	−39.1791	+	4.72221i	−1.43062	+	0.172431i
$751$	−2.42869	−	2.03791i	−0.0886241	−	0.0743644i	0.597399	−	0.801944i	$-0.296201\pi$
$751$	−2.42869	−	2.03791i	−0.0886241	−	0.0743644i	−0.686023	+	0.727580i	$0.740645\pi$
$752$	−2.19154	−	2.85704i	−0.0799172	−	0.104186i
$753$	−32.5185	+	56.3237i	−1.18504	+	2.05255i
$754$	−3.57670	+	8.37436i	−0.130256	+	0.304976i
$755$	−15.0044	+	2.64567i	−0.546065	+	0.0962859i
$756$	4.93265	−	45.0054i	0.179399	−	1.63683i
$757$	−11.4478	+	31.4527i	−0.416079	+	1.14317i	0.537825	+	0.843056i	$0.319246\pi$
$757$	−11.4478	+	31.4527i	−0.416079	+	1.14317i	−0.953904	+	0.300111i	$0.902976\pi$
$758$	−52.0903	−	2.84606i	−1.89200	−	0.103373i
$759$	−1.24177			−0.0450733
$760$	14.3660	+	1.06698i	0.521110	+	0.0387035i
$761$	5.70478			0.206798			0.103399	−	0.994640i	$-0.467028\pi$
$761$	5.70478			0.206798			0.103399	+	0.994640i	$0.467028\pi$
$762$	−44.8656	−	2.45132i	−1.62531	−	0.0888020i
$763$	−1.41053	+	3.87539i	−0.0510644	+	0.140298i
$764$	6.98909	+	0.766013i	0.252856	+	0.0277134i
$765$	−17.8457	+	3.14668i	−0.645213	+	0.113768i
$766$	−17.5638	+	41.1234i	−0.634607	+	1.48585i
$767$	−21.6205	+	37.4479i	−0.780672	+	1.35216i
$768$	−31.3013	+	31.2806i	−1.12949	+	1.12874i
$769$	−21.0908	−	17.6973i	−0.760553	−	0.638179i	0.177718	−	0.984081i	$-0.443128\pi$
$769$	−21.0908	−	17.6973i	−0.760553	−	0.638179i	−0.938271	+	0.345902i	$0.887573\pi$
$770$	10.6028	−	1.27795i	0.382100	−	0.0460540i
$771$	−7.71970	+	4.45697i	−0.278018	+	0.160514i
$772$	−14.3272	−	7.06688i	−0.515649	−	0.254343i
$773$	−7.83088	−	21.5152i	−0.281657	−	0.773847i	−0.997165	−	0.0752423i	$-0.976027\pi$
$773$	−7.83088	−	21.5152i	−0.281657	−	0.773847i	0.715508	−	0.698604i	$-0.246195\pi$
$774$	−24.2144	+	37.1061i	−0.870370	+	1.33375i
$775$	−3.27309	+	18.5626i	−0.117573	+	0.666788i
$776$	−5.30822	−	8.96932i	−0.190554	−	0.321980i
$777$	33.0259	−	27.7120i	1.18480	−	0.994164i
$778$	−5.87756	−	5.50539i	−0.210721	−	0.197378i
$779$	17.2592	−	37.2404i	0.618375	−	1.33427i
$780$	29.5402	−	1.93372i	1.05771	−	0.0692383i
$781$	9.49662	+	11.3176i	0.339816	+	0.404976i
$782$	1.45059	−	0.735056i	0.0518731	−	0.0262856i
$783$	−1.11364	+	6.31577i	−0.0397982	+	0.225707i
$784$	−21.1884	−	67.2397i	−0.756728	−	2.40142i
$785$	−5.75137	+	2.09333i	−0.205275	+	0.0747140i
$786$	−18.6411	−	61.4605i	−0.664905	−	2.19222i
$787$	19.6299	−	11.3333i	0.699730	−	0.403989i	−0.107517	−	0.994203i	$-0.534290\pi$
$787$	19.6299	−	11.3333i	0.699730	−	0.403989i	0.807247	+	0.590214i	$0.200957\pi$
$788$	25.5652	+	18.7485i	0.910724	+	0.667886i
$789$	−33.5769	+	40.0154i	−1.19537	+	1.42459i
$790$	3.49558	−	14.9889i	0.124367	−	0.533282i
$791$	−33.2622	+	57.6118i	−1.18267	+	2.04844i
$792$	5.68394	−	16.1565i	0.201970	−	0.574097i
$793$	2.35102	+	13.3333i	0.0834873	+	0.473480i
$794$	9.65891	−	7.24490i	0.342782	−	0.257112i
$795$	−1.42041	+	3.90255i	−0.0503769	+	0.138409i
$796$	−23.4444	−	24.4944i	−0.830965	−	0.868181i
$797$			53.3671i			1.89036i	0.326550	+	0.945180i	$0.394114\pi$
$797$			53.3671i			1.89036i	−0.326550	+	0.945180i	$0.605886\pi$
$798$	44.8423	+	71.7429i	1.58740	+	2.53967i
$799$	−3.00269			−0.106228
$800$	1.56426	+	20.5016i	0.0553049	+	0.724839i
$801$	−11.3601	−	4.13474i	−0.401390	−	0.146094i
$802$	12.2124	+	16.2816i	0.431236	+	0.574924i
$803$	−1.90219	+	0.335407i	−0.0671268	+	0.0118363i
$804$	−6.78341	−	15.4199i	−0.239232	−	0.543819i
$805$	−1.73105	−	0.999421i	−0.0610114	−	0.0352249i
$806$	7.62900	−	32.7129i	0.268720	−	1.15226i
$807$	46.3386	+	38.8827i	1.63120	+	1.36874i
$808$	−4.95506	+	0.928918i	−0.174318	+	0.0326792i
$809$	15.6437	+	27.0958i	0.550005	+	0.952636i	0.998273	+	0.0587375i	$0.0187075\pi$
$809$	15.6437	+	27.0958i	0.550005	+	0.952636i	−0.448269	+	0.893899i	$0.647959\pi$
$810$	−2.10508	+	0.638475i	−0.0739650	+	0.0224337i
$811$	−3.73492	−	10.2616i	−0.131151	−	0.360334i	0.856684	−	0.515842i	$-0.172521\pi$
$811$	−3.73492	−	10.2616i	−0.131151	−	0.360334i	−0.987835	+	0.155508i	$0.950299\pi$
$812$	3.31517	+	13.5528i	0.116340	+	0.475611i
$813$	11.8289	+	2.08576i	0.414859	+	0.0731508i
$814$	5.16097	−	2.61521i	0.180892	−	0.0916630i
$815$	5.84763	−	4.90675i	0.204834	−	0.171876i
$816$	4.81064	+	36.5871i	0.168406	+	1.28080i
$817$	−2.62868	−	29.2550i	−0.0919658	−	1.02350i
$818$	−15.2481	+	16.2788i	−0.533136	+	0.569176i
$819$	67.9266	+	80.9518i	2.37355	+	2.82868i
$820$	−21.1257	−	6.15946i	−0.737740	−	0.215098i
$821$	−42.3926	−	7.47495i	−1.47951	−	0.260878i	−0.625128	−	0.780522i	$-0.714953\pi$
$821$	−42.3926	−	7.47495i	−1.47951	−	0.260878i	−0.854383	+	0.519645i	$0.826064\pi$
$822$	9.17873	−	14.0655i	0.320145	−	0.490589i
$823$	−49.8514	+	18.1444i	−1.73771	+	0.632475i	−0.999131	−	0.0416894i	$-0.986726\pi$
$823$	−49.8514	+	18.1444i	−1.73771	+	0.632475i	−0.738581	+	0.674165i	$0.764504\pi$
$824$	39.5184	−	14.8681i	1.37669	−	0.517954i
$825$	−6.54636	−	11.3386i	−0.227915	−	0.394760i
$826$	7.92807	+	65.7774i	0.275853	+	2.28869i
$827$	−11.9473	+	14.2382i	−0.415447	+	0.495111i	−0.932665	−	0.360743i	$-0.882523\pi$
$827$	−11.9473	+	14.2382i	−0.415447	+	0.495111i	0.517218	+	0.855854i	$0.326968\pi$
$828$	−2.66551	+	1.78072i	−0.0926330	+	0.0618844i
$829$	−21.1582	−	12.2157i	−0.734855	−	0.424269i	0.0853405	−	0.996352i	$-0.472802\pi$
$829$	−21.1582	−	12.2157i	−0.734855	−	0.424269i	−0.820196	+	0.572083i	$0.806136\pi$
$830$	−8.39356	+	19.6524i	−0.291345	+	0.682145i
$831$	−12.5387	−	71.1103i	−0.434961	−	2.46679i
$832$	−0.790278	−	36.6335i	−0.0273980	−	1.27004i
$833$	−55.2440	−	20.1072i	−1.91409	−	0.696672i
$834$	1.40408	−	25.6984i	0.0486195	−	0.889863i
$835$		−	28.1971i		−	0.975800i
$836$	3.67397	+	10.7432i	0.127067	+	0.371561i
$837$		−	23.6568i		−	0.817700i
$838$	33.5060	+	1.83067i	1.15744	+	0.0632394i
$839$	17.9030	+	6.51614i	0.618079	+	0.224962i	0.632034	−	0.774940i	$-0.282220\pi$
$839$	17.9030	+	6.51614i	0.618079	+	0.224962i	−0.0139558	+	0.999903i	$0.504442\pi$
$840$	34.4298	−	29.5286i	1.18794	−	1.01883i
$841$	4.69261	+	26.6131i	0.161814	+	0.917693i
$842$	41.3603	+	17.6650i	1.42537	+	0.608777i
$843$	7.62235	+	4.40077i	0.262528	+	0.151571i
$844$	6.80529	+	10.1867i	0.234248	+	0.350639i
$845$	−5.99248	+	7.14156i	−0.206148	+	0.245677i
$846$	5.87646	−	0.708283i	0.202037	−	0.0243513i
$847$	−23.0842	−	39.9830i	−0.793182	−	1.37383i
$848$	4.74882	+	1.96794i	0.163075	+	0.0675794i
$849$	−27.6387	+	10.0597i	−0.948557	+	0.345246i
$850$	14.3591	+	9.37032i	0.492512	+	0.321399i
$851$	−1.06644	−	0.188042i	−0.0365570	−	0.00644599i
$852$	60.2400	+	17.5638i	2.06379	+	0.601724i
$853$	−31.1024	−	37.0663i	−1.06492	−	1.26913i	−0.961593	−	0.274480i	$-0.911494\pi$
$853$	−31.1024	−	37.0663i	−1.06492	−	1.26913i	−0.103332	−	0.994647i	$-0.532950\pi$
$854$	15.1399	+	14.1813i	0.518078	+	0.485273i
$855$	−13.5368	+	19.4294i	−0.462948	+	0.664472i
$856$	−12.9987	+	15.8350i	−0.444286	+	0.541228i
$857$	−17.6458	+	14.8066i	−0.602769	+	0.505783i	−0.892334	−	0.451375i	$-0.850934\pi$
$857$	−17.6458	+	14.8066i	−0.602769	+	0.505783i	0.289565	+	0.957158i	$0.406489\pi$
$858$	10.5465	+	20.8129i	0.360051	+	0.710541i
$859$	19.7092	+	3.47526i	0.672469	+	0.118574i	0.499448	−	0.866344i	$-0.333536\pi$
$859$	19.7092	+	3.47526i	0.672469	+	0.118574i	0.173021	+	0.984918i	$0.444647\pi$
$860$	−15.2964	+	3.74168i	−0.521604	+	0.127590i
$861$	−44.2017	−	121.443i	−1.50639	−	4.13878i
$862$	−3.51729	−	11.5967i	−0.119799	−	0.394984i
$863$	−10.6842	−	18.5056i	−0.363695	−	0.629938i	0.624871	−	0.780728i	$-0.285152\pi$
$863$	−10.6842	−	18.5056i	−0.363695	−	0.629938i	−0.988566	+	0.150790i	$0.951818\pi$
$864$	−6.40157	−	24.9991i	−0.217786	−	0.850488i
$865$	−3.25688	−	2.73285i	−0.110737	−	0.0929197i
$866$	6.98293	+	1.62849i	0.237290	+	0.0553385i
$867$	−14.0687	−	8.12259i	−0.477800	−	0.275858i
$868$	−20.7244	−	47.1103i	−0.703432	−	1.59903i
$869$	11.9465	−	2.10649i	0.405258	−	0.0714579i
$870$	−5.13979	+	3.85522i	−0.174255	+	0.130704i
$871$	13.1078	+	4.77083i	0.444139	+	0.161654i
$872$	0.0253504	+	2.35051i	0.000858472	+	0.0795985i
$873$	17.1324			0.579845
$874$	0.656435	−	2.02115i	0.0222042	−	0.0683664i
$875$		−	50.0661i		−	1.69254i
$876$	−5.92643	+	5.67238i	−0.200235	+	0.191652i
$877$	13.0625	−	35.8890i	0.441090	−	1.21188i	−0.497687	−	0.867357i	$-0.665817\pi$
$877$	13.0625	−	35.8890i	0.441090	−	1.21188i	0.938776	−	0.344527i	$-0.111961\pi$
$878$	−22.7226	−	30.2938i	−0.766852	−	1.02237i
$879$	12.1503	+	68.9077i	0.409819	+	2.32420i
$880$	5.39981	−	2.80983i	0.182028	−	0.0947195i
$881$	4.34259	−	7.52159i	0.146306	−	0.253409i	−0.783554	−	0.621324i	$-0.786595\pi$
$881$	4.34259	−	7.52159i	0.146306	−	0.253409i	0.929859	+	0.367915i	$0.119928\pi$
$882$	112.859	+	26.3199i	3.80016	+	0.886238i
$883$	−6.54988	+	7.80584i	−0.220421	+	0.262687i	−0.864911	−	0.501925i	$-0.832625\pi$
$883$	−6.54988	+	7.80584i	−0.220421	+	0.262687i	0.644490	+	0.764613i	$0.277070\pi$
$884$	−24.6401	−	18.0700i	−0.828737	−	0.607760i
$885$	−26.4217	+	15.2546i	−0.888157	+	0.512777i
$886$	42.8292	−	12.9902i	1.43888	−	0.436413i
$887$	−14.4753	+	5.26857i	−0.486032	+	0.176901i	−0.573401	−	0.819275i	$-0.694376\pi$
$887$	−14.4753	+	5.26857i	−0.486032	+	0.176901i	0.0873688	+	0.996176i	$0.472154\pi$
$888$	12.0563	−	21.4122i	0.404584	−	0.718546i
$889$	9.89892	−	56.1396i	0.331999	−	1.88286i
$890$	−1.94209	−	3.83261i	−0.0650991	−	0.128469i
$891$	−1.11446	−	1.32816i	−0.0373359	−	0.0444952i
$892$	−0.361071	−	5.51585i	−0.0120895	−	0.184684i
$893$	−2.76806	+	2.78108i	−0.0926296	+	0.0930654i
$894$	30.8181	−	32.9015i	1.03071	−	1.10039i
$895$	−1.79978	+	1.51020i	−0.0601601	+	0.0504803i
$896$	−34.6484	−	44.1753i	−1.15752	−	1.47579i
$897$	0.758326	−	4.30068i	0.0253198	−	0.143596i
$898$	7.69180	+	5.01945i	0.256679	+	0.167501i
$899$	2.49344	+	6.85068i	0.0831610	+	0.228483i
$900$	−30.3119	−	14.9513i	−1.01040	−	0.498376i
$901$	3.71233	−	2.14331i	0.123676	−	0.0714041i
$902$	−2.07542	−	17.2193i	−0.0691038	−	0.573338i
$903$	−70.8474	−	59.4480i	−2.35765	−	1.97831i
$904$	−6.18122	+	37.4103i	−0.205584	+	1.24425i
$905$	1.22467	−	2.12119i	0.0407094	−	0.0705107i
$906$	−46.9030	−	20.0323i	−1.55825	−	0.665529i
$907$	5.96261	−	1.05137i	0.197985	−	0.0349101i	−0.0737760	−	0.997275i	$-0.523505\pi$
$907$	5.96261	−	1.05137i	0.197985	−	0.0349101i	0.271761	+	0.962365i	$0.412394\pi$
$908$	4.96983	−	45.3446i	0.164930	−	1.50481i
$909$	2.83435	−	7.78732i	0.0940095	−	0.258289i
$910$	−2.04899	+	37.5018i	−0.0679232	+	1.24317i
$911$	10.2759			0.340454			0.170227	−	0.985405i	$-0.445550\pi$
$911$	10.2759			0.340454			0.170227	+	0.985405i	$0.445550\pi$
$912$	38.3215	+	29.2725i	1.26895	+	0.969310i
$913$	−16.8430			−0.557423
$914$	0.581520	−	10.6433i	0.0192350	−	0.352050i
$915$	−3.26718	+	8.97649i	−0.108009	+	0.296754i
$916$	−4.37200	+	39.8900i	−0.144455	+	1.31800i
$917$	80.2444	−	14.1492i	2.64990	−	0.467249i
$918$	−19.7901	−	8.45236i	−0.653170	−	0.278969i
$919$	−20.0078	+	34.6546i	−0.659998	+	1.14315i	0.320618	+	0.947209i	$0.396109\pi$
$919$	−20.0078	+	34.6546i	−0.659998	+	1.14315i	−0.980616	+	0.195941i	$0.937224\pi$
$920$	−1.12406	−	0.185725i	−0.0370591	−	0.00612319i
$921$	−8.31876	−	6.98027i	−0.274112	−	0.230008i
$922$	−2.17488	−	18.0445i	−0.0716258	−	0.594263i
$923$	−44.9964	+	25.9787i	−1.48107	+	0.855098i
$924$	32.0617	+	15.8144i	1.05475	+	0.520255i
$925$	−3.90504	−	10.7290i	−0.128397	−	0.352767i
$926$	−13.7403	−	8.96652i	−0.451533	−	0.294658i
$927$	−12.0523	+	68.3519i	−0.395849	+	2.24497i
$928$	4.48873	+	6.56466i	0.147350	+	0.215496i
$929$	37.3140	−	31.3102i	1.22423	−	1.02725i	0.225640	−	0.974211i	$-0.427553\pi$
$929$	37.3140	−	31.3102i	1.22423	−	1.02725i	0.998592	−	0.0530419i	$-0.0168917\pi$
$930$	16.2020	−	17.2973i	0.531285	−	0.567201i
$931$	−69.5503	+	32.6308i	−2.27942	+	1.06943i
$932$	3.17663	+	48.5274i	0.104054	+	1.58957i
$933$	8.25837	+	9.84195i	0.270367	+	0.322211i
$934$	−9.44580	−	18.6407i	−0.309076	−	0.609944i
$935$	0.881452	−	4.99896i	0.0288266	−	0.163484i
$936$	52.4847	+	29.5520i	1.71552	+	0.965937i
$937$	5.03883	−	1.83398i	0.164611	−	0.0599136i	−0.258400	−	0.966038i	$-0.583195\pi$
$937$	5.03883	−	1.83398i	0.164611	−	0.0599136i	0.423011	+	0.906124i	$0.360973\pi$
$938$	20.4524	−	6.20326i	0.667796	−	0.202544i
$939$	47.0522	−	27.1656i	1.53549	−	0.886516i
$940$	1.69638	+	1.24405i	0.0553298	+	0.0405765i
$941$	14.8151	−	17.6560i	0.482959	−	0.575568i	−0.468453	−	0.883488i	$-0.655188\pi$
$941$	14.8151	−	17.6560i	0.482959	−	0.575568i	0.951412	+	0.307920i	$0.0996329\pi$
$942$	−19.9528	−	4.65322i	−0.650099	−	0.151610i
$943$	−1.62308	+	2.81126i	−0.0528549	+	0.0915473i
$944$	17.4315	+	33.4991i	0.567348	+	1.09030i
$945$	4.59311	+	26.0488i	0.149414	+	0.847369i
$946$	−7.44745	−	9.92894i	−0.242137	−	0.322818i
$947$	20.4194	−	56.1020i	0.663543	−	1.82307i	0.103457	−	0.994634i	$-0.467009\pi$
$947$	20.4194	−	56.1020i	0.663543	−	1.82307i	0.560085	−	0.828435i	$-0.310768\pi$
$948$	37.2204	−	35.6249i	1.20886	−	1.15704i
$949$		−	6.79278i		−	0.220503i
$950$	21.9158	−	4.66118i	0.711042	−	0.151229i
$951$	−66.2271			−2.14756
$952$	−46.8146	+	0.504897i	−1.51727	+	0.0163638i
$953$	42.5479	+	15.4862i	1.37826	+	0.501646i	0.921651	−	0.388020i	$-0.126841\pi$
$953$	42.5479	+	15.4862i	1.37826	+	0.501646i	0.456611	+	0.889666i	$0.349063\pi$
$954$	−6.75969	+	5.07028i	−0.218853	+	0.164156i
$955$	−4.04524	+	0.713284i	−0.130901	+	0.0230813i
$956$	−1.04022	−	2.36461i	−0.0336431	−	0.0764769i
$957$	−4.38552	−	2.53198i	−0.141764	−	0.0818473i
$958$	−43.4703	−	10.1377i	−1.40446	−	0.327536i
$959$	16.3231	+	13.6967i	0.527100	+	0.442289i
$960$	12.4407	−	22.6630i	0.401521	−	0.731447i
$961$	2.05378	+	3.55725i	0.0662510	+	0.114750i
$962$	5.90568	+	19.4713i	0.190407	+	0.627780i
$963$	−11.5181	−	31.6457i	−0.371165	−	1.01977i
$964$	24.3369	−	5.95308i	0.783839	−	0.191736i
$965$	9.19136	+	1.62069i	0.295880	+	0.0521717i
$966$	−3.02444	−	5.96856i	−0.0973098	−	0.192035i
$967$	−22.7479	+	19.0878i	−0.731523	+	0.613821i	−0.930546	−	0.366174i	$-0.880668\pi$
$967$	−22.7479	+	19.0878i	−0.731523	+	0.613821i	0.199023	+	0.979995i	$0.436223\pi$
$968$	−20.3397	−	16.6966i	−0.653743	−	0.536648i
$969$	38.8182	−	10.4990i	1.24702	−	0.337277i
$970$	4.44397	+	4.16257i	0.142687	+	0.133652i
$971$	−9.84719	−	11.7354i	−0.316011	−	0.376608i	0.584534	−	0.811369i	$-0.301277\pi$
$971$	−9.84719	−	11.7354i	−0.316011	−	0.376608i	−0.900546	+	0.434761i	$0.856833\pi$
$972$	−33.3464	−	9.72258i	−1.06959	−	0.311852i
$973$	32.1560	+	5.66997i	1.03087	+	0.181771i
$974$	16.9959	+	11.0911i	0.544585	+	0.355381i
$975$	43.2674	−	15.7480i	1.38567	−	0.504341i
$976$	10.9230	+	4.52658i	0.349638	+	0.144892i
$977$	−10.5550	−	18.2817i	−0.337683	−	0.584884i	0.646314	−	0.763072i	$-0.276310\pi$
$977$	−10.5550	−	18.2817i	−0.337683	−	0.584884i	−0.983996	+	0.178188i	$0.942976\pi$
$978$	25.3696	−	3.05777i	0.811231	−	0.0977767i
$979$	2.17676	−	2.59416i	0.0695695	−	0.0829097i
$980$	22.8796	+	34.2478i	0.730861	+	1.09401i
$981$	−3.34635	−	1.93202i	−0.106841	−	0.0616845i
$982$	27.9080	+	11.9195i	0.890579	+	0.380367i
$983$	7.39972	+	41.9659i	0.236014	+	1.33850i	0.840467	+	0.541863i	$0.182281\pi$
$983$	7.39972	+	41.9659i	0.236014	+	1.33850i	−0.604452	+	0.796641i	$0.706608\pi$
$984$	−47.9552	−	55.9148i	−1.52875	−	1.78250i
$985$	−17.4047	−	6.33479i	−0.554560	−	0.201843i
$986$	6.62180	+	0.361796i	0.210881	+	0.0115219i
$987$			12.3548i			0.393257i
$988$	−39.4511	+	6.16358i	−1.25511	+	0.196090i
$989$			2.32302i			0.0738678i
$990$	−0.545890	+	9.99121i	−0.0173495	+	0.317541i
$991$	18.8672	+	6.86709i	0.599336	+	0.218140i	0.623831	−	0.781560i	$-0.285576\pi$
$991$	18.8672	+	6.86709i	0.599336	+	0.218140i	−0.0244949	+	0.999700i	$0.507798\pi$
$992$	−20.5113	−	20.9724i	−0.651236	−	0.665875i
$993$	−3.96115	−	22.4648i	−0.125703	−	0.712899i
$994$	−31.2683	+	73.2106i	−0.991770	+	2.32210i
$995$	17.1548	+	9.90434i	0.543844	+	0.313989i
$996$	−59.4827	+	39.7380i	−1.88478	+	1.25915i
$997$	21.3831	−	25.4834i	0.677211	−	0.807068i	−0.312535	−	0.949906i	$-0.601178\pi$
$997$	21.3831	−	25.4834i	0.677211	−	0.807068i	0.989746	+	0.142838i	$0.0456227\pi$
$998$	−1.10626	−	9.17840i	−0.0350181	−	0.290537i
$999$	7.16495	+	12.4100i	0.226689	+	0.392637i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	152.2.t.a.101.10	✓	108
4.3	odd	2		608.2.bf.a.177.16		108
8.3	odd	2		608.2.bf.a.177.3		108
8.5	even	2	inner	152.2.t.a.101.18	yes	108
19.16	even	9	inner	152.2.t.a.149.18	yes	108
76.35	odd	18		608.2.bf.a.529.3		108
152.35	odd	18		608.2.bf.a.529.16		108
152.149	even	18	inner	152.2.t.a.149.10	yes	108

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
152.2.t.a.101.10	✓	108	1.1	even	1	trivial
152.2.t.a.101.18	yes	108	8.5	even	2	inner
152.2.t.a.149.10	yes	108	152.149	even	18	inner
152.2.t.a.149.18	yes	108	19.16	even	9	inner
608.2.bf.a.177.3		108	8.3	odd	2
608.2.bf.a.177.16		108	4.3	odd	2
608.2.bf.a.529.3		108	76.35	odd	18
608.2.bf.a.529.16		108	152.35	odd	18

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:	\( N \)	\(=\)	\( 152 = 2^{3} \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	152.t (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.0771534 - 1.41211i) q^{2} +(-0.945944 + 2.59896i) q^{3} +(-1.98809 - 0.217898i) q^{4} +(1.15070 - 0.202899i) q^{5} +(3.59703 + 1.53629i) q^{6} +(-2.48117 + 4.29751i) q^{7} +(-0.461083 + 2.79059i) q^{8} +(-3.56165 - 2.98858i) q^{9} +O(q^{10})\)	\(q+(0.0771534 - 1.41211i) q^{2} +(-0.945944 + 2.59896i) q^{3} +(-1.98809 - 0.217898i) q^{4} +(1.15070 - 0.202899i) q^{5} +(3.59703 + 1.53629i) q^{6} +(-2.48117 + 4.29751i) q^{7} +(-0.461083 + 2.79059i) q^{8} +(-3.56165 - 2.98858i) q^{9} +(-0.197735 - 1.64056i) q^{10} +(1.12791 - 0.651199i) q^{11} +(2.44693 - 4.96086i) q^{12} +(1.56654 + 4.30402i) q^{13} +(5.87711 + 3.83524i) q^{14} +(-0.561168 + 3.18254i) q^{15} +(3.90504 + 0.866402i) q^{16} +(2.55523 - 2.14409i) q^{17} +(-4.49499 + 4.79886i) q^{18} +(0.369712 - 4.34319i) q^{19} +(-2.33190 + 0.152648i) q^{20} +(-8.82201 - 10.5137i) q^{21} +(-0.832541 - 1.64297i) q^{22} +(-0.0598623 + 0.339496i) q^{23} +(-6.81648 - 3.83808i) q^{24} +(-3.41553 + 1.24315i) q^{25} +(6.19861 - 1.88005i) q^{26} +(3.95069 - 2.28093i) q^{27} +(5.86921 - 8.00321i) q^{28} +(-0.903650 + 1.07693i) q^{29} +(4.45080 + 1.03797i) q^{30} +(2.59290 - 4.49103i) q^{31} +(1.52474 - 5.44749i) q^{32} +(0.625501 + 3.54739i) q^{33} +(-2.83054 - 3.77368i) q^{34} +(-1.98311 + 5.44855i) q^{35} +(6.42970 + 6.71766i) q^{36} +3.14124i q^{37} +(-6.10453 - 0.857165i) q^{38} -12.6678 q^{39} +(0.0356411 + 3.30468i) q^{40} +(8.84858 + 3.22062i) q^{41} +(-15.5271 + 11.6465i) q^{42} +(6.63623 - 1.17015i) q^{43} +(-2.38429 + 1.04888i) q^{44} +(-4.70476 - 2.71629i) q^{45} +(0.474786 + 0.110725i) q^{46} +(-0.689587 - 0.578632i) q^{47} +(-5.94570 + 9.32948i) q^{48} +(-8.81238 - 15.2635i) q^{49} +(1.49194 + 4.91901i) q^{50} +(3.15530 + 8.66913i) q^{51} +(-2.17659 - 8.89815i) q^{52} +(1.26559 + 0.223157i) q^{53} +(-2.91611 - 5.75477i) q^{54} +(1.16575 - 0.978183i) q^{55} +(-10.8486 - 8.90543i) q^{56} +(10.9381 + 5.06928i) q^{57} +(1.45102 + 1.35914i) q^{58} +(6.06841 + 7.23205i) q^{59} +(1.80913 - 6.20492i) q^{60} +(2.91105 + 0.513296i) q^{61} +(-6.14176 - 4.00795i) q^{62} +(21.6805 - 7.89106i) q^{63} +(-7.57480 - 2.57339i) q^{64} +(2.67589 + 4.63477i) q^{65} +(5.05755 - 0.609581i) q^{66} +(1.95759 - 2.33296i) q^{67} +(-5.54723 + 3.70588i) q^{68} +(-0.825710 - 0.476724i) q^{69} +(7.54094 + 3.22074i) q^{70} +(1.96983 + 11.1714i) q^{71} +(9.98213 - 8.56113i) q^{72} +(-1.39362 - 0.507236i) q^{73} +(4.43577 + 0.242357i) q^{74} -10.0528i q^{75} +(-1.68139 + 8.55412i) q^{76} +6.46293i q^{77} +(-0.977367 + 17.8884i) q^{78} +(8.75250 + 3.18565i) q^{79} +(4.66931 + 0.204638i) q^{80} +(-0.231166 - 1.31101i) q^{81} +(5.23056 - 12.2467i) q^{82} +(-11.1997 - 6.46616i) q^{83} +(15.2481 + 22.8244i) q^{84} +(2.50526 - 2.98565i) q^{85} +(-1.14037 - 9.46135i) q^{86} +(-1.94409 - 3.36726i) q^{87} +(1.29717 + 3.44779i) q^{88} +(2.44335 - 0.889305i) q^{89} +(-4.19869 + 6.43405i) q^{90} +(-22.3834 - 3.94680i) q^{91} +(0.192987 - 0.661906i) q^{92} +(9.21927 + 10.9871i) q^{93} +(-0.870295 + 0.929128i) q^{94} +(-0.455802 - 5.07271i) q^{95} +(12.7155 + 9.11576i) q^{96} +(-2.82277 + 2.36859i) q^{97} +(-22.2336 + 11.2664i) q^{98} +(-5.96338 - 1.05151i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 108 q - 6 q^{2} - 12 q^{4} - 12 q^{6} - 6 q^{7} - 3 q^{8} - 12 q^{9}+O(q^{10}) \) 108 * q - 6 * q^2 - 12 * q^4 - 12 * q^6 - 6 * q^7 - 3 * q^8 - 12 * q^9	\( 108 q - 6 q^{2} - 12 q^{4} - 12 q^{6} - 6 q^{7} - 3 q^{8} - 12 q^{9} + 9 q^{10} - 3 q^{12} - 9 q^{14} - 12 q^{15} - 12 q^{17} - 12 q^{18} - 42 q^{20} - 12 q^{22} - 12 q^{23} - 36 q^{24} - 12 q^{25} + 21 q^{26} + 24 q^{28} - 48 q^{30} + 30 q^{31} + 39 q^{32} - 30 q^{33} - 60 q^{34} + 69 q^{36} - 42 q^{38} - 24 q^{39} + 36 q^{40} - 24 q^{41} - 81 q^{42} + 45 q^{44} - 18 q^{46} - 48 q^{47} - 21 q^{48} - 24 q^{49} - 12 q^{50} + 3 q^{52} + 63 q^{54} - 42 q^{55} + 30 q^{56} - 12 q^{57} - 84 q^{58} + 30 q^{60} - 6 q^{62} + 30 q^{63} + 3 q^{64} - 6 q^{65} + 54 q^{66} + 36 q^{68} + 123 q^{70} - 12 q^{71} + 150 q^{72} + 12 q^{73} + 75 q^{74} + 42 q^{76} + 39 q^{78} - 12 q^{79} + 51 q^{80} - 18 q^{81} + 99 q^{82} + 75 q^{84} - 48 q^{86} - 6 q^{87} - 27 q^{88} - 12 q^{89} + 66 q^{90} - 48 q^{92} + 54 q^{94} - 72 q^{95} + 42 q^{96} - 12 q^{97} + 93 q^{98}+O(q^{100}) \) 108 * q - 6 * q^2 - 12 * q^4 - 12 * q^6 - 6 * q^7 - 3 * q^8 - 12 * q^9 + 9 * q^10 - 3 * q^12 - 9 * q^14 - 12 * q^15 - 12 * q^17 - 12 * q^18 - 42 * q^20 - 12 * q^22 - 12 * q^23 - 36 * q^24 - 12 * q^25 + 21 * q^26 + 24 * q^28 - 48 * q^30 + 30 * q^31 + 39 * q^32 - 30 * q^33 - 60 * q^34 + 69 * q^36 - 42 * q^38 - 24 * q^39 + 36 * q^40 - 24 * q^41 - 81 * q^42 + 45 * q^44 - 18 * q^46 - 48 * q^47 - 21 * q^48 - 24 * q^49 - 12 * q^50 + 3 * q^52 + 63 * q^54 - 42 * q^55 + 30 * q^56 - 12 * q^57 - 84 * q^58 + 30 * q^60 - 6 * q^62 + 30 * q^63 + 3 * q^64 - 6 * q^65 + 54 * q^66 + 36 * q^68 + 123 * q^70 - 12 * q^71 + 150 * q^72 + 12 * q^73 + 75 * q^74 + 42 * q^76 + 39 * q^78 - 12 * q^79 + 51 * q^80 - 18 * q^81 + 99 * q^82 + 75 * q^84 - 48 * q^86 - 6 * q^87 - 27 * q^88 - 12 * q^89 + 66 * q^90 - 48 * q^92 + 54 * q^94 - 72 * q^95 + 42 * q^96 - 12 * q^97 + 93 * q^98

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