LMFDB - Embedded newform 252.2.o.a.95.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [252,2,Mod(95,252)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(252, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 5, 4]))

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

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

chi := DirichletCharacter("252.95");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 252 = 2^{2} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	252.o (of order $6$, degree $2$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$2.01223013094$
Analytic rank:	$0$
Dimension:	$88$
Relative dimension:	$44$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			95.8
Character	$\chi$	$=$	252.95
Dual form			252.2.o.a.191.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.28779 - 0.584462i) q^{2} +(-0.698604 - 1.58491i) q^{3} +(1.31681 + 1.50533i) q^{4} -3.64364i q^{5} +(-0.0266661 + 2.44934i) q^{6} +(-2.62804 + 0.305637i) q^{7} +(-0.815968 - 2.70817i) q^{8} +(-2.02391 + 2.21445i) q^{9} +O(q^{10})$	\(q+(-1.28779 - 0.584462i) q^{2} +(-0.698604 - 1.58491i) q^{3} +(1.31681 + 1.50533i) q^{4} -3.64364i q^{5} +(-0.0266661 + 2.44934i) q^{6} +(-2.62804 + 0.305637i) q^{7} +(-0.815968 - 2.70817i) q^{8} +(-2.02391 + 2.21445i) q^{9} +(-2.12957 + 4.69225i) q^{10} +1.56032 q^{11} +(1.46589 - 3.13866i) q^{12} +(1.56045 - 2.70278i) q^{13} +(3.56300 + 1.14239i) q^{14} +(-5.77486 + 2.54546i) q^{15} +(-0.532026 + 3.96446i) q^{16} +(1.63433 + 0.943578i) q^{17} +(3.90063 - 1.66886i) q^{18} +(-3.94422 + 2.27720i) q^{19} +(5.48488 - 4.79798i) q^{20} +(2.32037 + 3.95170i) q^{21} +(-2.00937 - 0.911948i) q^{22} -8.30394 q^{23} +(-3.72218 + 3.18518i) q^{24} -8.27613 q^{25} +(-3.58921 + 2.56860i) q^{26} +(4.92363 + 1.66069i) q^{27} +(-3.92071 - 3.55360i) q^{28} +(-0.762708 + 0.440349i) q^{29} +(8.92454 + 0.0971618i) q^{30} +(0.833702 - 0.481338i) q^{31} +(3.00221 - 4.79445i) q^{32} +(-1.09005 - 2.47298i) q^{33} +(-1.55318 - 2.17033i) q^{34} +(1.11363 + 9.57563i) q^{35} +(-5.99858 - 0.130629i) q^{36} +(0.764955 + 1.32494i) q^{37} +(6.41027 - 0.627308i) q^{38} +(-5.37382 - 0.585009i) q^{39} +(-9.86761 + 2.97310i) q^{40} +(-2.14712 - 1.23964i) q^{41} +(-0.678530 - 6.44512i) q^{42} +(5.90857 - 3.41132i) q^{43} +(2.05465 + 2.34880i) q^{44} +(8.06868 + 7.37439i) q^{45} +(10.6937 + 4.85333i) q^{46} +(6.45070 - 11.1729i) q^{47} +(6.65501 - 1.92637i) q^{48} +(6.81317 - 1.60645i) q^{49} +(10.6579 + 4.83708i) q^{50} +(0.353745 - 3.24945i) q^{51} +(6.12340 - 1.21006i) q^{52} +(-9.65305 - 5.57319i) q^{53} +(-5.36999 - 5.01629i) q^{54} -5.68526i q^{55} +(2.97211 + 6.86779i) q^{56} +(6.36461 + 4.66040i) q^{57} +(1.23958 - 0.121305i) q^{58} +(-5.18830 - 8.98640i) q^{59} +(-11.4361 - 5.34117i) q^{60} +(2.69802 - 4.67311i) q^{61} +(-1.35496 + 0.132596i) q^{62} +(4.64208 - 6.43825i) q^{63} +(-6.66839 + 4.41956i) q^{64} +(-9.84798 - 5.68573i) q^{65} +(-0.0416077 + 3.82177i) q^{66} +(4.44027 - 2.56359i) q^{67} +(0.731700 + 3.70271i) q^{68} +(5.80116 + 13.1610i) q^{69} +(4.16247 - 12.9823i) q^{70} +7.22553 q^{71} +(7.64856 + 3.67416i) q^{72} +(-3.15834 + 5.47040i) q^{73} +(-0.210725 - 2.15333i) q^{74} +(5.78173 + 13.1170i) q^{75} +(-8.62172 - 2.93872i) q^{76} +(-4.10059 + 0.476892i) q^{77} +(6.57844 + 3.89416i) q^{78} +(3.98983 + 2.30353i) q^{79} +(14.4451 + 1.93851i) q^{80} +(-0.807612 - 8.96369i) q^{81} +(2.04051 + 2.85130i) q^{82} +(0.143677 + 0.248856i) q^{83} +(-2.89312 + 8.69654i) q^{84} +(3.43806 - 5.95490i) q^{85} +(-9.60279 + 0.939727i) q^{86} +(1.23075 + 0.901196i) q^{87} +(-1.27317 - 4.22562i) q^{88} +(0.733095 - 0.423253i) q^{89} +(-6.08072 - 14.2125i) q^{90} +(-3.27486 + 7.57995i) q^{91} +(-10.9347 - 12.5002i) q^{92} +(-1.34531 - 0.985082i) q^{93} +(-14.8373 + 10.6182i) q^{94} +(8.29730 + 14.3713i) q^{95} +(-9.69614 - 1.40883i) q^{96} +(1.31443 + 2.27665i) q^{97} +(-9.71285 - 1.91327i) q^{98} +(-3.15795 + 3.45526i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 88 q - 3 q^{2} + q^{4} - 6 q^{6} - 2 q^{9}+O(q^{10}) $ 88 * q - 3 * q^2 + q^4 - 6 * q^6 - 2 * q^9	$ 88 q - 3 q^{2} + q^{4} - 6 q^{6} - 2 q^{9} + 2 q^{10} + 3 q^{12} - 4 q^{13} - 3 q^{14} + q^{16} + 5 q^{18} - 6 q^{20} - 6 q^{22} - 14 q^{24} - 60 q^{25} - 6 q^{26} - 24 q^{29} + 22 q^{30} + 27 q^{32} - 26 q^{33} - 4 q^{34} + 2 q^{36} - 4 q^{37} + 8 q^{40} - 12 q^{41} - 13 q^{42} - 57 q^{44} + 42 q^{45} - 6 q^{46} - 43 q^{48} - 2 q^{49} + 9 q^{50} + 14 q^{52} - 22 q^{54} - 66 q^{56} - 28 q^{57} - 10 q^{58} + 32 q^{60} + 2 q^{61} - 8 q^{64} + 18 q^{65} - 93 q^{66} - 6 q^{69} + 30 q^{70} + 53 q^{72} - 4 q^{73} - 6 q^{76} - 30 q^{77} + 55 q^{78} + 87 q^{80} + 26 q^{81} - 4 q^{82} - 7 q^{84} - 14 q^{85} - 18 q^{88} + 60 q^{89} + 41 q^{90} + 24 q^{92} - 30 q^{93} + 9 q^{94} - 20 q^{96} - 4 q^{97} - 57 q^{98}+O(q^{100}) $ 88 * q - 3 * q^2 + q^4 - 6 * q^6 - 2 * q^9 + 2 * q^10 + 3 * q^12 - 4 * q^13 - 3 * q^14 + q^16 + 5 * q^18 - 6 * q^20 - 6 * q^22 - 14 * q^24 - 60 * q^25 - 6 * q^26 - 24 * q^29 + 22 * q^30 + 27 * q^32 - 26 * q^33 - 4 * q^34 + 2 * q^36 - 4 * q^37 + 8 * q^40 - 12 * q^41 - 13 * q^42 - 57 * q^44 + 42 * q^45 - 6 * q^46 - 43 * q^48 - 2 * q^49 + 9 * q^50 + 14 * q^52 - 22 * q^54 - 66 * q^56 - 28 * q^57 - 10 * q^58 + 32 * q^60 + 2 * q^61 - 8 * q^64 + 18 * q^65 - 93 * q^66 - 6 * q^69 + 30 * q^70 + 53 * q^72 - 4 * q^73 - 6 * q^76 - 30 * q^77 + 55 * q^78 + 87 * q^80 + 26 * q^81 - 4 * q^82 - 7 * q^84 - 14 * q^85 - 18 * q^88 + 60 * q^89 + 41 * q^90 + 24 * q^92 - 30 * q^93 + 9 * q^94 - 20 * q^96 - 4 * q^97 - 57 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/252\mathbb{Z}\right)^\times$.

$n$	$29$	$73$	$127$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{2}{3}\right)$	$-1$

Coefficient data

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

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

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

$2$	−1.28779	−	0.584462i	−0.910605	−	0.413277i
$2$	−1.28779	−	0.584462i	−0.910605	−	0.413277i
$3$	−0.698604	−	1.58491i	−0.403339	−	0.915051i
$3$	−0.698604	−	1.58491i	−0.403339	−	0.915051i
$4$	1.31681	+	1.50533i	0.658405	+	0.752664i
$5$		−	3.64364i		−	1.62949i	−0.579822	−	0.814743i	$-0.696878\pi$
$5$		−	3.64364i		−	1.62949i	0.579822	−	0.814743i	$-0.303122\pi$
$6$	−0.0266661	+	2.44934i	−0.0108864	+	0.999941i
$7$	−2.62804	+	0.305637i	−0.993305	+	0.115520i
$7$	−2.62804	+	0.305637i	−0.993305	+	0.115520i
$8$	−0.815968	−	2.70817i	−0.288488	−	0.957483i
$9$	−2.02391	+	2.21445i	−0.674635	+	0.738151i
$10$	−2.12957	+	4.69225i	−0.673429	+	1.48382i
$11$	1.56032			0.470455			0.235227	−	0.971940i	$-0.424416\pi$
$11$	1.56032			0.470455			0.235227	+	0.971940i	$0.424416\pi$
$12$	1.46589	−	3.13866i	0.423165	−	0.906052i
$13$	1.56045	−	2.70278i	0.432792	−	0.749618i	−0.564321	−	0.825556i	$-0.690862\pi$
$13$	1.56045	−	2.70278i	0.432792	−	0.749618i	0.997113	+	0.0759382i	$0.0241952\pi$
$14$	3.56300	+	1.14239i	0.952251	+	0.305317i
$15$	−5.77486	+	2.54546i	−1.49106	+	0.657235i
$16$	−0.532026	+	3.96446i	−0.133007	+	0.991115i
$17$	1.63433	+	0.943578i	0.396382	+	0.228851i	0.684922	−	0.728617i	$-0.259836\pi$
$17$	1.63433	+	0.943578i	0.396382	+	0.228851i	−0.288540	+	0.957468i	$0.593170\pi$
$18$	3.90063	−	1.66886i	0.919387	−	0.393354i
$19$	−3.94422	+	2.27720i	−0.904867	+	0.522425i	−0.878776	−	0.477234i	$-0.841639\pi$
$19$	−3.94422	+	2.27720i	−0.904867	+	0.522425i	−0.0260910	+	0.999660i	$0.508306\pi$
$20$	5.48488	−	4.79798i	1.22646	−	1.07286i
$21$	2.32037	+	3.95170i	0.506345	+	0.862331i
$22$	−2.00937	−	0.911948i	−0.428399	−	0.194428i
$23$	−8.30394			−1.73149			−0.865745	−	0.500485i	$-0.833155\pi$
$23$	−8.30394			−1.73149			−0.865745	+	0.500485i	$0.833155\pi$
$24$	−3.72218	+	3.18518i	−0.759787	+	0.650172i
$25$	−8.27613			−1.65523
$26$	−3.58921	+	2.56860i	−0.703902	+	0.503743i
$27$	4.92363	+	1.66069i	0.947553	+	0.319600i
$28$	−3.92071	−	3.55360i	−0.740944	−	0.671566i
$29$	−0.762708	+	0.440349i	−0.141631	+	0.0817708i	−0.569141	−	0.822240i	$-0.692724\pi$
$29$	−0.762708	+	0.440349i	−0.141631	+	0.0817708i	0.427510	+	0.904011i	$0.359391\pi$
$30$	8.92454	+	0.0971618i	1.62939	+	0.0177392i
$31$	0.833702	−	0.481338i	0.149737	−	0.0864509i	−0.423259	−	0.906009i	$-0.639114\pi$
$31$	0.833702	−	0.481338i	0.149737	−	0.0864509i	0.572997	+	0.819558i	$0.305781\pi$
$32$	3.00221	−	4.79445i	0.530721	−	0.847546i
$33$	−1.09005	−	2.47298i	−0.189753	−	0.430490i
$34$	−1.55318	−	2.17033i	−0.266369	−	0.372209i
$35$	1.11363	+	9.57563i	0.188238	+	1.61858i
$36$	−5.99858	−	0.130629i	−0.999763	−	0.0217715i
$37$	0.764955	+	1.32494i	0.125758	+	0.217819i	0.922029	−	0.387121i	$-0.126530\pi$
$37$	0.764955	+	1.32494i	0.125758	+	0.217819i	−0.796271	+	0.604940i	$0.793197\pi$
$38$	6.41027	−	0.627308i	1.03988	−	0.101763i
$39$	−5.37382	−	0.585009i	−0.860500	−	0.0936765i
$40$	−9.86761	+	2.97310i	−1.56021	+	0.470088i
$41$	−2.14712	−	1.23964i	−0.335323	−	0.193599i	0.322879	−	0.946440i	$-0.395349\pi$
$41$	−2.14712	−	1.23964i	−0.335323	−	0.193599i	−0.658202	+	0.752841i	$0.728683\pi$
$42$	−0.678530	−	6.44512i	−0.104699	−	0.994504i
$43$	5.90857	−	3.41132i	0.901049	−	0.520221i	0.0235086	−	0.999724i	$-0.492516\pi$
$43$	5.90857	−	3.41132i	0.901049	−	0.520221i	0.877540	+	0.479503i	$0.159183\pi$
$44$	2.05465	+	2.34880i	0.309750	+	0.354095i
$45$	8.06868	+	7.37439i	1.20281	+	1.09931i
$46$	10.6937	+	4.85333i	1.57670	+	0.715585i
$47$	6.45070	−	11.1729i	0.940931	−	1.62974i	0.177232	−	0.984169i	$-0.443286\pi$
$47$	6.45070	−	11.1729i	0.940931	−	1.62974i	0.763700	−	0.645572i	$-0.223381\pi$
$48$	6.65501	−	1.92637i	0.960567	−	0.278048i
$49$	6.81317	−	1.60645i	0.973310	−	0.229493i
$50$	10.6579	+	4.83708i	1.50726	+	0.684066i
$51$	0.353745	−	3.24945i	0.0495342	−	0.455014i
$52$	6.12340	−	1.21006i	0.849162	−	0.167805i
$53$	−9.65305	−	5.57319i	−1.32595	−	0.765537i	−0.341278	−	0.939962i	$-0.610860\pi$
$53$	−9.65305	−	5.57319i	−1.32595	−	0.765537i	−0.984670	+	0.174426i	$0.944193\pi$
$54$	−5.36999	−	5.01629i	−0.730763	−	0.682631i
$55$		−	5.68526i		−	0.766600i
$56$	2.97211	+	6.86779i	0.397165	+	0.917747i
$57$	6.36461	+	4.66040i	0.843014	+	0.617285i
$58$	1.23958	−	0.121305i	0.162764	−	0.0159281i
$59$	−5.18830	−	8.98640i	−0.675459	−	1.16993i	−0.976334	−	0.216267i	$-0.930612\pi$
$59$	−5.18830	−	8.98640i	−0.675459	−	1.16993i	0.300875	−	0.953664i	$-0.402721\pi$
$60$	−11.4361	−	5.34117i	−1.47640	−	0.689542i
$61$	2.69802	−	4.67311i	0.345446	−	0.598330i	−0.639989	−	0.768384i	$-0.721061\pi$
$61$	2.69802	−	4.67311i	0.345446	−	0.598330i	0.985435	+	0.170054i	$0.0543942\pi$
$62$	−1.35496	+	0.132596i	−0.172080	+	0.0168397i
$63$	4.64208	−	6.43825i	0.584848	−	0.811143i
$64$	−6.66839	+	4.41956i	−0.833549	+	0.552446i
$65$	−9.84798	−	5.68573i	−1.22149	−	0.705228i
$66$	−0.0416077	+	3.82177i	−0.00512156	+	0.470427i
$67$	4.44027	−	2.56359i	0.542465	−	0.313193i	−0.203612	−	0.979052i	$-0.565268\pi$
$67$	4.44027	−	2.56359i	0.542465	−	0.313193i	0.746078	+	0.665859i	$0.231935\pi$
$68$	0.731700	+	3.70271i	0.0887317	+	0.449019i
$69$	5.80116	+	13.1610i	0.698378	+	1.58440i
$70$	4.16247	−	12.9823i	0.497510	−	1.55168i
$71$	7.22553			0.857513			0.428756	−	0.903420i	$-0.358952\pi$
$71$	7.22553			0.857513			0.428756	+	0.903420i	$0.358952\pi$
$72$	7.64856	+	3.67416i	0.901392	+	0.433004i
$73$	−3.15834	+	5.47040i	−0.369655	+	0.640262i	−0.989512	−	0.144454i	$-0.953858\pi$
$73$	−3.15834	+	5.47040i	−0.369655	+	0.640262i	0.619856	+	0.784715i	$0.287191\pi$
$74$	−0.210725	−	2.15333i	−0.0244963	−	0.250320i
$75$	5.78173	+	13.1170i	0.667617	+	1.51462i
$76$	−8.62172	−	2.93872i	−0.988979	−	0.337094i
$77$	−4.10059	+	0.476892i	−0.467305	+	0.0543468i
$78$	6.57844	+	3.89416i	0.744862	+	0.440927i
$79$	3.98983	+	2.30353i	0.448891	+	0.259168i	0.707362	−	0.706852i	$-0.249885\pi$
$79$	3.98983	+	2.30353i	0.448891	+	0.259168i	−0.258471	+	0.966019i	$0.583218\pi$
$80$	14.4451	+	1.93851i	1.61501	+	0.216732i
$81$	−0.807612	−	8.96369i	−0.0897346	−	0.995966i
$82$	2.04051	+	2.85130i	0.225337	+	0.314873i
$83$	0.143677	+	0.248856i	0.0157706	+	0.0273155i	0.873803	−	0.486280i	$-0.161647\pi$
$83$	0.143677	+	0.248856i	0.0157706	+	0.0273155i	−0.858032	+	0.513596i	$0.828313\pi$
$84$	−2.89312	+	8.69654i	−0.315665	+	0.948871i
$85$	3.43806	−	5.95490i	0.372910	−	0.645899i
$86$	−9.60279	+	0.939727i	−1.03550	+	0.101333i
$87$	1.23075	+	0.901196i	0.131950	+	0.0966184i
$88$	−1.27317	−	4.22562i	−0.135721	−	0.450453i
$89$	0.733095	−	0.423253i	0.0777079	−	0.0448647i	−0.460643	−	0.887586i	$-0.652381\pi$
$89$	0.733095	−	0.423253i	0.0777079	−	0.0448647i	0.538351	+	0.842721i	$0.319048\pi$
$90$	−6.08072	−	14.2125i	−0.640964	−	1.49813i
$91$	−3.27486	+	7.57995i	−0.343299	+	0.794595i
$92$	−10.9347	−	12.5002i	−1.14002	−	1.30323i
$93$	−1.34531	−	0.985082i	−0.139502	−	0.102148i
$94$	−14.8373	+	10.6182i	−1.53035	+	1.09519i
$95$	8.29730	+	14.3713i	0.851285	+	1.47447i
$96$	−9.69614	−	1.40883i	−0.989608	−	0.143788i
$97$	1.31443	+	2.27665i	0.133460	+	0.231159i	0.925008	−	0.379947i	$-0.124058\pi$
$97$	1.31443	+	2.27665i	0.133460	+	0.231159i	−0.791548	+	0.611107i	$0.790725\pi$
$98$	−9.71285	−	1.91327i	−0.981146	−	0.193269i
$99$	−3.15795	+	3.45526i	−0.317385	+	0.347267i
$100$	−10.8981	−	12.4583i	−1.08981	−	1.24583i
$101$			8.85375i			0.880981i	0.897757	+	0.440491i	$0.145195\pi$
$101$			8.85375i			0.880981i	−0.897757	+	0.440491i	$0.854805\pi$
$102$	−2.35473	+	3.97786i	−0.233153	+	0.393867i
$103$		−	6.66025i		−	0.656254i	−0.944634	−	0.328127i	$-0.893583\pi$
$103$		−	6.66025i		−	0.656254i	0.944634	−	0.328127i	$-0.106417\pi$
$104$	−8.59289	−	2.02059i	−0.842602	−	0.198135i
$105$	14.3986	−	8.45458i	1.40516	−	0.825083i
$106$	9.17379	+	12.8189i	0.891038	+	1.24509i
$107$	−0.384113	−	0.665303i	−0.0371336	−	0.0643173i	0.846861	−	0.531814i	$-0.178489\pi$
$107$	−0.384113	−	0.665303i	−0.0371336	−	0.0643173i	−0.883995	+	0.467496i	$0.845156\pi$
$108$	3.98359	+	9.59849i	0.383321	+	0.923615i
$109$	7.88815	−	13.6627i	0.755548	−	1.30865i	−0.189553	−	0.981870i	$-0.560704\pi$
$109$	7.88815	−	13.6627i	0.755548	−	1.30865i	0.945101	−	0.326777i	$-0.105963\pi$
$110$	−3.32281	+	7.32142i	−0.316818	+	0.698070i
$111$	1.56552	−	2.13800i	0.148592	−	0.202930i
$112$	0.186502	−	10.5814i	0.0176228	−	0.999845i
$113$	−9.21918	−	5.32269i	−0.867267	−	0.500717i	−0.000828095	−	1.00000i	$-0.500264\pi$
$113$	−9.21918	−	5.32269i	−0.867267	−	0.500717i	−0.866439	+	0.499283i	$0.833597\pi$
$114$	−5.47247	−	9.72149i	−0.512544	−	0.910501i
$115$			30.2566i			2.82144i
$116$	−1.66721	−	0.568269i	−0.154797	−	0.0527625i
$117$	2.82698	+	8.92573i	0.261354	+	0.825184i
$118$	1.42924	+	14.6050i	0.131572	+	1.34450i
$119$	−4.58346	−	1.98025i	−0.420165	−	0.181529i
$120$	11.6057	+	13.5623i	1.05945	+	1.23806i
$121$	−8.56539			−0.778672
$122$	−6.20574	+	4.44110i	−0.561841	+	0.402078i
$123$	−0.464736	+	4.26901i	−0.0419039	+	0.384924i
$124$	1.82240	+	0.621165i	0.163656	+	0.0557823i
$125$			11.9370i			1.06768i
$126$	−9.74094	+	5.57800i	−0.867792	+	0.496928i
$127$		−	7.32948i		−	0.650386i	−0.945648	−	0.325193i	$-0.894571\pi$
$127$		−	7.32948i		−	0.650386i	0.945648	−	0.325193i	$-0.105429\pi$
$128$	11.1706	−	1.79405i	0.987347	−	0.158573i
$129$	−9.53439	−	6.98142i	−0.839457	−	0.614680i
$130$	9.35904	+	13.0778i	0.820842	+	1.14700i
$131$	−0.113481			−0.00991489			−0.00495745	−	0.999988i	$-0.501578\pi$
$131$	−0.113481			−0.00991489			−0.00495745	+	0.999988i	$0.501578\pi$
$132$	2.28726	−	4.89732i	0.199080	−	0.426257i
$133$	9.66958	−	7.19007i	0.838459	−	0.623458i
$134$	−7.21646	+	0.706201i	−0.623407	+	0.0610065i
$135$	6.05096	−	17.9399i	0.520784	−	1.54402i
$136$	1.22181	−	5.19596i	0.104770	−	0.445550i
$137$			10.4337i			0.891412i	0.895179	+	0.445706i	$0.147047\pi$
$137$			10.4337i			0.891412i	−0.895179	+	0.445706i	$0.852953\pi$
$138$	0.221434	−	20.3392i	0.0188497	−	1.73139i
$139$	−7.14127	−	4.12302i	−0.605715	−	0.349710i	0.165572	−	0.986198i	$-0.447053\pi$
$139$	−7.14127	−	4.12302i	−0.605715	−	0.349710i	−0.771287	+	0.636488i	$0.780386\pi$
$140$	−12.9480	+	14.2857i	−1.09431	+	1.20736i
$141$	−22.2146	−	2.41835i	−1.87081	−	0.203662i
$142$	−9.30497	−	4.22304i	−0.780856	−	0.354390i
$143$	2.43481	−	4.21722i	0.203609	−	0.352661i
$144$	−7.70234	−	9.20184i	−0.641862	−	0.766820i
$145$	1.60448	+	2.77903i	0.133244	+	0.230786i
$146$	7.26451	−	5.19880i	0.601215	−	0.430256i
$147$	−7.30579	−	9.67602i	−0.602572	−	0.798065i
$148$	−0.987171	+	2.89620i	−0.0811450	+	0.238066i
$149$			7.62139i			0.624369i	0.950022	+	0.312184i	$0.101061\pi$
$149$			7.62139i			0.624369i	−0.950022	+	0.312184i	$0.898939\pi$
$150$	0.220692	−	20.2711i	0.0180194	−	1.65513i
$151$		−	13.9586i		−	1.13593i	−0.823052	−	0.567966i	$-0.807730\pi$
$151$		−	13.9586i		−	1.13593i	0.823052	−	0.567966i	$-0.192270\pi$
$152$	9.38541	+	8.82352i	0.761257	+	0.715682i
$153$	−5.39723	+	1.70943i	−0.436340	+	0.138199i
$154$	5.55942	+	1.78250i	0.447991	+	0.143638i
$155$	−1.75382	−	3.03771i	−0.140871	−	0.243995i
$156$	−6.19567	−	8.85971i	−0.496050	−	0.709344i
$157$	−7.36853	−	12.7627i	−0.588073	−	1.01857i	−0.994485	−	0.104882i	$-0.966553\pi$
$157$	−7.36853	−	12.7627i	−0.588073	−	1.01857i	0.406412	−	0.913690i	$-0.366780\pi$
$158$	−3.79174	−	5.29837i	−0.301655	−	0.421516i
$159$	−2.08937	+	19.1927i	−0.165698	+	1.52208i
$160$	−17.4692	−	10.9390i	−1.38107	−	0.864803i
$161$	21.8231	−	2.53799i	1.71990	−	0.200021i
$162$	−4.19890	+	12.0154i	−0.329897	+	0.944017i
$163$	0.0796066	−	0.0459609i	0.00623527	−	0.00359994i	−0.496879	−	0.867820i	$-0.665521\pi$
$163$	0.0796066	−	0.0459609i	0.00623527	−	0.00359994i	0.503114	+	0.864220i	$0.332187\pi$
$164$	−0.961280	−	4.86448i	−0.0750633	−	0.379852i
$165$	−9.01064	+	3.97174i	−0.701478	+	0.309200i
$166$	−0.0395792	−	0.404448i	−0.00307194	−	0.0313912i
$167$	2.20207	−	3.81409i	0.170401	−	0.295143i	−0.768159	−	0.640259i	$-0.778827\pi$
$167$	2.20207	−	3.81409i	0.170401	−	0.295143i	0.938560	+	0.345116i	$0.112160\pi$
$168$	8.80853	−	9.50841i	0.679593	−	0.733589i
$169$	1.62997	+	2.82319i	0.125382	+	0.217169i
$170$	−7.90791	+	5.65925i	−0.606509	+	0.434044i
$171$	2.93999	−	13.3431i	0.224826	−	1.02038i
$172$	12.9156	+	4.40229i	0.984806	+	0.335671i
$173$	14.1191	+	8.15170i	1.07346	+	0.619762i	0.929124	−	0.369767i	$-0.120563\pi$
$173$	14.1191	+	8.15170i	1.07346	+	0.619762i	0.144335	+	0.989529i	$0.453896\pi$
$174$	−1.05823	−	1.87988i	−0.0802241	−	0.142513i
$175$	21.7500	−	2.52949i	1.64414	−	0.191211i
$176$	−0.830133	+	6.18584i	−0.0625736	+	0.466275i
$177$	−10.6181	+	14.5009i	−0.798106	+	1.08996i
$178$	−1.19145	+	0.116595i	−0.0893028	+	0.00873916i
$179$	−8.18874	+	14.1833i	−0.612055	+	1.06011i	0.378839	+	0.925463i	$0.376324\pi$
$179$	−8.18874	+	14.1833i	−0.612055	+	1.06011i	−0.990894	+	0.134648i	$0.957010\pi$
$180$	−0.475965	+	21.8567i	−0.0354764	+	1.62910i
$181$	12.4854			0.928031			0.464016	−	0.885827i	$-0.346408\pi$
$181$	12.4854			0.928031			0.464016	+	0.885827i	$0.346408\pi$
$182$	8.64753	−	7.84736i	0.640997	−	0.581685i
$183$	−9.29133	−	1.01148i	−0.686835	−	0.0747708i
$184$	6.77575	+	22.4885i	0.499515	+	1.65787i
$185$	4.82761	−	2.78722i	0.354933	−	0.204921i
$186$	1.15673	+	2.05486i	0.0848157	+	0.150670i
$187$	2.55007	+	1.47229i	0.186480	+	0.107664i
$188$	25.3133	−	5.00221i	1.84616	−	0.364824i
$189$	−13.4470	−	2.85952i	−0.978129	−	0.207999i
$190$	−2.28569	−	23.3567i	−0.165821	−	1.69448i
$191$	−8.41586	+	14.5767i	−0.608950	+	1.05473i	0.382464	+	0.923971i	$0.375076\pi$
$191$	−8.41586	+	14.5767i	−0.608950	+	1.05473i	−0.991414	+	0.130762i	$0.958258\pi$
$192$	11.6632	+	7.48131i	0.841718	+	0.539917i
$193$	6.72149	+	11.6420i	0.483824	+	0.838007i	0.999827	−	0.0185791i	$-0.00591427\pi$
$193$	6.72149	+	11.6420i	0.483824	+	0.838007i	−0.516004	+	0.856586i	$0.672581\pi$
$194$	−0.362090	−	3.70009i	−0.0259965	−	0.265651i
$195$	−2.13156	+	19.5803i	−0.152645	+	1.40217i
$196$	11.3899	+	8.14067i	0.813563	+	0.581477i
$197$			5.41857i			0.386057i	0.981193	+	0.193029i	$0.0618310\pi$
$197$			5.41857i			0.386057i	−0.981193	+	0.193029i	$0.938169\pi$
$198$	6.08624	−	2.60396i	0.432530	−	0.185055i
$199$	−2.08703	−	1.20495i	−0.147945	−	0.0854164i	0.424200	−	0.905569i	$-0.360555\pi$
$199$	−2.08703	−	1.20495i	−0.147945	−	0.0854164i	−0.572145	+	0.820152i	$0.693889\pi$
$200$	6.75306	+	22.4132i	0.477513	+	1.58485i
$201$	−7.16506	−	5.24651i	−0.505384	−	0.370060i
$202$	5.17468	−	11.4018i	0.364089	−	0.802226i
$203$	1.86984	−	1.39037i	0.131237	−	0.0975846i
$204$	5.35731	−	3.74641i	0.375087	−	0.262301i
$205$	−4.51680	+	7.82332i	−0.315467	+	0.546404i
$206$	−3.89266	+	8.57701i	−0.271215	+	0.597589i
$207$	16.8064	−	18.3887i	1.16812	−	1.27810i
$208$	9.88488	+	7.62431i	0.685393	+	0.528651i
$209$	−6.15426	+	3.55316i	−0.425699	+	0.245778i
$210$	−23.4837	+	2.47232i	−1.62053	+	0.170606i
$211$	16.5554	+	9.55829i	1.13972	+	0.658020i	0.946362	−	0.323108i	$-0.104728\pi$
$211$	16.5554	+	9.55829i	1.13972	+	0.658020i	0.193362	+	0.981128i	$0.438061\pi$
$212$	−4.32174	−	21.8698i	−0.296819	−	1.50203i
$213$	−5.04778	−	11.4518i	−0.345868	−	0.784667i
$214$	0.105813	+	1.08127i	0.00723323	+	0.0739142i
$215$	−12.4296	−	21.5287i	−0.847693	−	1.46825i
$216$	0.479914	−	14.6891i	0.0326540	−	0.999467i
$217$	−2.04389	+	1.51979i	−0.138748	+	0.103170i
$218$	−18.1436	+	12.9844i	−1.22884	+	0.879411i
$219$	10.8765	+	1.18405i	0.734968	+	0.0800107i
$220$	8.55818	−	7.48640i	0.576992	−	0.504733i
$221$	5.10058	−	2.94482i	0.343102	−	0.198090i
$222$	−3.26563	+	1.83831i	−0.219175	+	0.123379i
$223$	−21.3416	+	12.3216i	−1.42914	+	0.825113i	−0.997053	−	0.0767202i	$-0.975555\pi$
$223$	−21.3416	+	12.3216i	−1.42914	+	0.825113i	−0.432085	+	0.901833i	$0.642222\pi$
$224$	−6.42457	+	13.5176i	−0.429260	+	0.903181i
$225$	16.7501	−	18.3271i	1.11667	−	1.22181i
$226$	8.76146	+	12.2428i	0.582804	+	0.814377i
$227$	5.43484			0.360723			0.180361	−	0.983600i	$-0.442273\pi$
$227$	5.43484			0.360723			0.180361	+	0.983600i	$0.442273\pi$
$228$	1.36556	+	15.7177i	0.0904362	+	1.04093i
$229$	16.7361			1.10595			0.552977	−	0.833197i	$-0.313492\pi$
$229$	16.7361			1.10595			0.552977	+	0.833197i	$0.313492\pi$
$230$	17.6838	−	38.9641i	1.16604	−	2.56922i
$231$	3.62052	+	6.16592i	0.238213	+	0.405688i
$232$	1.81489	+	1.70623i	0.119153	+	0.112020i
$233$	1.77734	−	1.02615i	0.116437	−	0.0672250i	−0.440650	−	0.897679i	$-0.645252\pi$
$233$	1.77734	−	1.02615i	0.116437	−	0.0672250i	0.557088	+	0.830454i	$0.311919\pi$
$234$	1.57619	−	13.1467i	0.103039	−	0.859429i
$235$	−40.7102	−	23.5040i	−2.65564	−	1.53323i
$236$	6.69548	−	19.6435i	0.435839	−	1.27868i
$237$	0.863587	−	7.93280i	0.0560960	−	0.515291i
$238$	4.74516	+	5.22901i	0.307583	+	0.338946i
$239$	4.95656	−	8.58502i	0.320613	−	0.555319i	−0.660001	−	0.751264i	$-0.729444\pi$
$239$	4.95656	−	8.58502i	0.320613	−	0.555319i	0.980615	+	0.195946i	$0.0627777\pi$
$240$	−7.01901	−	24.2485i	−0.453075	−	1.56523i
$241$	20.0680			1.29269			0.646346	−	0.763044i	$-0.276296\pi$
$241$	20.0680			1.29269			0.646346	+	0.763044i	$0.276296\pi$
$242$	11.0304	+	5.00614i	0.709063	+	0.321807i
$243$	−13.6425	+	7.54206i	−0.875166	+	0.483824i
$244$	10.5873	−	2.09219i	0.677785	−	0.133939i
$245$	−5.85333	−	24.8248i	−0.373955	−	1.58600i
$246$	3.09355	−	5.22597i	0.197238	−	0.333196i
$247$			14.2139i			0.904406i
$248$	−1.98382	−	1.86505i	−0.125973	−	0.118431i
$249$	0.294042	−	0.401567i	0.0186341	−	0.0254483i
$250$	6.97674	−	15.3724i	0.441248	−	0.972236i
$251$	10.1713			0.642005			0.321002	−	0.947078i	$-0.395980\pi$
$251$	10.1713			0.642005			0.321002	+	0.947078i	$0.395980\pi$
$252$	15.8044	−	1.49009i	0.995585	−	0.0938666i
$253$	−12.9568			−0.814588
$254$	−4.28380	+	9.43883i	−0.268789	+	0.592245i
$255$	−11.8398	−	1.28892i	−0.741440	−	0.0807152i
$256$	−15.4339	−	4.21840i	−0.964618	−	0.263650i
$257$		−	8.41323i		−	0.524803i	−0.964959	−	0.262401i	$-0.915486\pi$
$257$		−	8.41323i		−	0.524803i	0.964959	−	0.262401i	$-0.0845144\pi$
$258$	8.19793	+	14.5631i	0.510381	+	0.906659i
$259$	−2.41528	−	3.24820i	−0.150078	−	0.201833i
$260$	−4.40902	−	22.3115i	−0.273436	−	1.38370i
$261$	0.568515	−	2.58021i	0.0351902	−	0.159711i
$262$	0.146140	+	0.0663254i	0.00902855	+	0.00409759i
$263$	7.55062			0.465591			0.232796	−	0.972526i	$-0.425213\pi$
$263$	7.55062			0.465591			0.232796	+	0.972526i	$0.425213\pi$
$264$	−5.80780	+	4.96991i	−0.357446	+	0.305877i
$265$	−20.3067	+	35.1723i	−1.24743	+	2.16062i
$266$	−16.6547	+	3.60780i	−1.02117	+	0.221209i
$267$	−1.18296	−	0.866207i	−0.0723961	−	0.0530110i
$268$	9.70604	+	3.30830i	0.592891	+	0.202087i
$269$	−18.3811	−	10.6123i	−1.12072	−	0.647046i	−0.179132	−	0.983825i	$-0.557329\pi$
$269$	−18.3811	−	10.6123i	−1.12072	−	0.647046i	−0.941584	+	0.336779i	$0.890662\pi$
$270$	−18.2776	+	19.5663i	−1.11234	+	1.19077i
$271$	25.8284	−	14.9120i	1.56896	−	0.905841i	0.572673	−	0.819784i	$-0.305907\pi$
$271$	25.8284	−	14.9120i	1.56896	−	0.905841i	0.996290	−	0.0860571i	$-0.0274267\pi$
$272$	−4.61028	+	5.97721i	−0.279539	+	0.362422i
$273$	14.3014	−	0.105009i	0.865560	−	0.00635544i
$274$	6.09810	−	13.4364i	0.368400	−	0.811724i
$275$	−12.9134			−0.778709
$276$	−12.1726	+	26.0632i	−0.732707	+	1.56882i
$277$	−21.5559			−1.29517			−0.647584	−	0.761994i	$-0.724220\pi$
$277$	−21.5559			−1.29517			−0.647584	+	0.761994i	$0.724220\pi$
$278$	6.78672	+	9.48338i	0.407040	+	0.568775i
$279$	−0.621434	+	2.82038i	−0.0372043	+	0.168852i
$280$	25.0238	−	10.8293i	1.49546	−	0.647175i
$281$	21.0319	−	12.1428i	1.25466	−	0.724376i	0.282626	−	0.959230i	$-0.408795\pi$
$281$	21.0319	−	12.1428i	1.25466	−	0.724376i	0.972031	+	0.234854i	$0.0754612\pi$
$282$	27.1944	+	16.0979i	1.61940	+	0.958618i
$283$	11.3423	−	6.54845i	0.674227	−	0.389265i	−0.123449	−	0.992351i	$-0.539396\pi$
$283$	11.3423	−	6.54845i	0.674227	−	0.389265i	0.797676	+	0.603086i	$0.206062\pi$
$284$	9.51464	+	10.8768i	0.564590	+	0.645419i
$285$	16.9808	−	23.1904i	1.00586	−	1.37368i
$286$	−5.60033	+	4.00784i	−0.331154	+	0.236988i
$287$	6.02158	+	2.60158i	0.355443	+	0.153566i
$288$	4.54088	+	16.3518i	0.267574	+	0.963537i
$289$	−6.71932	−	11.6382i	−0.395254	−	0.684600i
$290$	−0.441991	−	4.51657i	−0.0259546	−	0.265222i
$291$	2.69004	−	3.67373i	0.157693	−	0.215358i
$292$	−12.3937	+	2.44914i	−0.725285	+	0.143325i
$293$	22.5292	+	13.0072i	1.31617	+	0.759891i	0.983110	−	0.183014i	$-0.0585854\pi$
$293$	22.5292	+	13.0072i	1.31617	+	0.759891i	0.333060	+	0.942906i	$0.391919\pi$
$294$	3.75307	+	16.7306i	0.218883	+	0.975751i
$295$	−32.7432	+	18.9043i	−1.90639	+	1.10065i
$296$	2.96399	−	3.15274i	0.172278	−	0.183249i
$297$	7.68245	+	2.59121i	0.445781	+	0.150357i
$298$	4.45441	−	9.81475i	0.258037	−	0.568553i
$299$	−12.9579	+	22.4438i	−0.749375	+	1.29796i
$300$	−12.1319	+	25.9759i	−0.700434	+	1.49972i
$301$	−14.4853	+	10.7709i	−0.834921	+	0.620827i
$302$	−8.15825	+	17.9757i	−0.469455	+	1.03439i
$303$	14.0324	−	6.18526i	0.806142	−	0.355334i
$304$	−6.92943	−	16.8483i	−0.397430	−	0.966313i
$305$	−17.0271	−	9.83062i	−0.974971	−	0.562900i
$306$	7.94960	+	0.953093i	0.454448	+	0.0544847i
$307$		−	5.11146i		−	0.291726i	−0.989305	−	0.145863i	$-0.953404\pi$
$307$		−	5.11146i		−	0.291726i	0.989305	−	0.145863i	$-0.0465959\pi$
$308$	−6.11757	−	5.54475i	−0.348581	−	0.315942i
$309$	−10.5559	+	4.65288i	−0.600506	+	0.264693i
$310$	0.483132	+	4.93698i	0.0274401	+	0.280402i
$311$	−1.54793	−	2.68109i	−0.0877751	−	0.152031i	0.818795	−	0.574086i	$-0.194642\pi$
$311$	−1.54793	−	2.68109i	−0.0877751	−	0.152031i	−0.906570	+	0.422055i	$0.861309\pi$
$312$	2.80056	+	15.0306i	0.158550	+	0.850939i
$313$	−6.69390	+	11.5942i	−0.378362	+	0.655342i	−0.990824	−	0.135158i	$-0.956846\pi$
$313$	−6.69390	+	11.5942i	−0.378362	+	0.655342i	0.612462	+	0.790500i	$0.290179\pi$
$314$	2.02983	+	20.7423i	0.114550	+	1.17055i
$315$	−23.4587	−	16.9141i	−1.32175	−	0.953001i
$316$	1.78628	+	9.03932i	0.100486	+	0.508502i
$317$	8.57635	+	4.95156i	0.481696	+	0.278107i	0.721123	−	0.692807i	$-0.243626\pi$
$317$	8.57635	+	4.95156i	0.481696	+	0.278107i	−0.239427	+	0.970914i	$0.576960\pi$
$318$	13.9081	−	23.4950i	0.779926	−	1.31754i
$319$	−1.19007	+	0.687087i	−0.0666311	+	0.0384695i
$320$	16.1033	+	24.2972i	0.900202	+	1.35826i
$321$	−0.786106	+	1.07357i	−0.0438762	+	0.0599208i
$322$	−29.5869	−	9.48635i	−1.64881	−	0.528654i
$323$	−8.59486			−0.478231
$324$	12.4298	−	13.0192i	0.690546	−	0.723288i
$325$	−12.9145	+	22.3686i	−0.716368	+	1.24079i
$326$	−0.129379	+	0.0126610i	−0.00716564	+	0.000701229i
$327$	−27.1649	−	2.95724i	−1.50222	−	0.163536i
$328$	−1.60517	+	6.82626i	−0.0886309	+	0.376917i
$329$	−13.5378	+	31.3345i	−0.746365	+	1.72753i
$330$	13.9252	+	0.151604i	0.766554	+	0.00834551i
$331$	22.5158	+	12.9995i	1.23758	+	0.714516i	0.968598	−	0.248630i	$-0.0799804\pi$
$331$	22.5158	+	12.9995i	1.23758	+	0.714516i	0.268979	+	0.963146i	$0.413314\pi$
$332$	−0.185414	+	0.543976i	−0.0101759	+	0.0298546i
$333$	−4.48222	−	0.987598i	−0.245624	−	0.0541200i
$334$	−5.06499	+	3.62473i	−0.277144	+	0.198336i
$335$	−9.34081	−	16.1788i	−0.510343	−	0.883940i
$336$	−16.9008	+	7.09659i	−0.922016	+	0.387151i
$337$	−8.52372	+	14.7635i	−0.464317	+	0.804220i	−0.999170	−	0.0407247i	$-0.987033\pi$
$337$	−8.52372	+	14.7635i	−0.464317	+	0.804220i	0.534854	+	0.844945i	$0.320367\pi$
$338$	−0.449014	−	4.58834i	−0.0244231	−	0.249573i
$339$	−1.99546	+	18.3301i	−0.108379	+	0.995552i
$340$	13.4913	−	2.66605i	0.731671	−	0.144587i
$341$	1.30084	−	0.751043i	0.0704447	−	0.0406713i
$342$	−11.5846	+	15.4649i	−0.626425	+	0.836244i
$343$	−17.4143	+	6.30417i	−0.940283	+	0.340393i
$344$	−14.0596	−	13.2179i	−0.758045	−	0.712662i
$345$	47.9541	−	21.1374i	2.58176	−	1.13800i
$346$	−13.4182	−	18.7498i	−0.721365	−	1.00799i
$347$	9.43805	+	16.3472i	0.506661	+	0.877562i	0.999970	+	0.00770851i	$0.00245372\pi$
$347$	9.43805	+	16.3472i	0.506661	+	0.877562i	−0.493309	+	0.869854i	$0.664213\pi$
$348$	0.264062	+	3.03938i	0.0141552	+	0.162928i
$349$	−9.13885	−	15.8290i	−0.489192	−	0.847305i	0.510731	−	0.859741i	$-0.329375\pi$
$349$	−9.13885	−	15.8290i	−0.489192	−	0.847305i	−0.999923	+	0.0124358i	$0.996041\pi$
$350$	−29.4878	−	9.45458i	−1.57619	−	0.505369i
$351$	12.1716	−	10.7161i	0.649671	−	0.571982i
$352$	4.68442	−	7.48088i	0.249680	−	0.398732i
$353$		−	8.16100i		−	0.434366i	−0.976131	−	0.217183i	$-0.930313\pi$
$353$		−	8.16100i		−	0.434366i	0.976131	−	0.217183i	$-0.0696869\pi$
$354$	22.1492	−	12.4683i	1.17721	−	0.662683i
$355$		−	26.3272i		−	1.39730i
$356$	1.60248	+	0.546206i	0.0849313	+	0.0289489i
$357$	0.0634971	+	8.64780i	0.00336062	+	0.457690i
$358$	18.8350	−	13.4791i	0.995460	−	0.712394i
$359$	−6.31924	−	10.9453i	−0.333517	−	0.577668i	0.649682	−	0.760206i	$-0.274902\pi$
$359$	−6.31924	−	10.9453i	−0.333517	−	0.577668i	−0.983199	+	0.182538i	$0.941569\pi$
$360$	13.3873	−	27.8686i	0.705574	−	1.46881i
$361$	0.871269	−	1.50908i	0.0458563	−	0.0794254i
$362$	−16.0786	−	7.29723i	−0.845070	−	0.383534i
$363$	5.98382	+	13.5754i	0.314069	+	0.712524i
$364$	−15.7227	+	5.05161i	−0.824093	+	0.264776i
$365$	19.9322	+	11.5078i	1.04330	+	0.602348i
$366$	11.3741	+	6.73300i	0.594534	+	0.351939i
$367$		−	19.3205i		−	1.00852i	−0.863551	−	0.504262i	$-0.831765\pi$
$367$		−	19.3205i		−	1.00852i	0.863551	−	0.504262i	$-0.168235\pi$
$368$	4.41791	−	32.9206i	0.230300	−	1.71611i
$369$	7.09068	−	2.24578i	0.369126	−	0.116911i
$370$	−7.84597	+	0.767806i	−0.407893	+	0.0399163i
$371$	27.0720	+	11.6962i	1.40551	+	0.607238i
$372$	−0.288642	−	3.32229i	−0.0149654	−	0.172253i
$373$	19.3447			1.00163			0.500816	−	0.865554i	$-0.333033\pi$
$373$	19.3447			1.00163			0.500816	+	0.865554i	$0.333033\pi$
$374$	−2.42347	−	3.38642i	−0.125315	−	0.175107i
$375$	18.9192	−	8.33926i	0.976982	−	0.430638i
$376$	−35.5218	−	8.35284i	−1.83190	−	0.430765i
$377$			2.74858i			0.141559i
$378$	15.6457	+	11.5417i	0.804728	+	0.593643i
$379$			27.2679i			1.40066i	0.713821	+	0.700328i	$0.246963\pi$
$379$			27.2679i			1.40066i	−0.713821	+	0.700328i	$0.753037\pi$
$380$	−10.7076	+	31.4145i	−0.549290	+	1.61153i
$381$	−11.6166	+	5.12040i	−0.595136	+	0.262326i
$382$	19.3574	−	13.8530i	0.990410	−	0.708780i
$383$	−15.8851			−0.811692			−0.405846	−	0.913941i	$-0.633023\pi$
$383$	−15.8851			−0.811692			−0.405846	+	0.913941i	$0.633023\pi$
$384$	−10.6472	−	16.4510i	−0.543338	−	0.839514i
$385$	1.73762	+	14.9411i	0.0885574	+	0.761468i
$386$	−1.85159	−	18.9209i	−0.0942436	−	0.963047i
$387$	−4.40419	+	19.9884i	−0.223878	+	1.01607i
$388$	−1.69626	+	4.97656i	−0.0861147	+	0.252647i
$389$		−	2.37738i		−	0.120538i	−0.998182	−	0.0602691i	$-0.980804\pi$
$389$		−	2.37738i		−	0.120538i	0.998182	−	0.0602691i	$-0.0191959\pi$
$390$	14.1889	−	23.9695i	0.718484	−	1.21374i
$391$	−13.5713	−	7.83542i	−0.686332	−	0.396254i
$392$	−9.90987	−	17.1404i	−0.500524	−	0.865723i
$393$	0.0792783	+	0.179858i	0.00399906	+	0.00907263i
$394$	3.16695	−	6.97799i	0.159548	−	0.351546i
$395$	8.39324	−	14.5375i	0.422310	−	0.731462i
$396$	−9.35972	−	0.203823i	−0.470343	−	0.0102425i
$397$	−13.8463	−	23.9825i	−0.694926	−	1.20365i	−0.970206	−	0.242283i	$-0.922104\pi$
$397$	−13.8463	−	23.9825i	−0.694926	−	1.20365i	0.275280	−	0.961364i	$-0.411230\pi$
$398$	1.98341	+	2.77151i	0.0994194	+	0.138923i
$399$	−18.1508	−	10.3024i	−0.908679	−	0.515767i
$400$	4.40312	−	32.8104i	0.220156	−	1.64052i
$401$		−	9.50721i		−	0.474767i	−0.971416	−	0.237384i	$-0.923710\pi$
$401$		−	9.50721i		−	0.474767i	0.971416	−	0.237384i	$-0.0762898\pi$
$402$	6.16071	+	10.9441i	0.307268	+	0.545843i
$403$		−	3.00442i		−	0.149661i
$404$	−13.3278	+	11.6587i	−0.663083	+	0.580042i
$405$	−32.6605	+	2.94265i	−1.62291	+	0.146221i
$406$	−3.22058	+	0.697653i	−0.159835	+	0.0346239i
$407$	1.19358	+	2.06733i	0.0591634	+	0.102474i
$408$	−9.08872	+	1.69345i	−0.449959	+	0.0838382i
$409$	−12.2908	−	21.2883i	−0.607740	−	1.05264i	−0.991612	−	0.129250i	$-0.958743\pi$
$409$	−12.2908	−	21.2883i	−0.607740	−	1.05264i	0.383872	−	0.923386i	$-0.374590\pi$
$410$	10.3891	−	7.43490i	0.513082	−	0.367184i
$411$	16.5365	−	7.28903i	0.815687	−	0.359541i
$412$	10.0259	−	8.77028i	0.493939	−	0.432081i
$413$	16.3816	+	22.0309i	0.806087	+	1.08407i
$414$	−32.3906	+	13.8581i	−1.59191	+	0.681088i
$415$	0.906741	−	0.523507i	0.0445102	−	0.0256979i
$416$	−8.27354	−	15.5958i	−0.405644	−	0.764649i
$417$	−1.54571	+	14.1987i	−0.0756936	+	0.695311i
$418$	10.0021	−	0.978802i	0.489218	−	0.0478748i
$419$	−3.73131	+	6.46281i	−0.182286	+	0.315729i	−0.942659	−	0.333758i	$-0.891683\pi$
$419$	−3.73131	+	6.46281i	−0.182286	+	0.315729i	0.760372	+	0.649487i	$0.225016\pi$
$420$	31.6871	+	10.5415i	1.54617	+	0.514373i
$421$	−8.09414	−	14.0195i	−0.394484	−	0.683267i	0.598551	−	0.801085i	$-0.295743\pi$
$421$	−8.09414	−	14.0195i	−0.394484	−	0.683267i	−0.993035	+	0.117818i	$0.962410\pi$
$422$	−15.7335	−	21.9851i	−0.765894	−	1.07022i
$423$	11.6864	+	36.8978i	0.568210	+	1.79403i
$424$	−7.21658	+	30.6897i	−0.350468	+	1.49042i
$425$	−13.5259	−	7.80917i	−0.656102	−	0.378801i
$426$	−0.192677	+	17.6978i	−0.00933522	+	0.857462i
$427$	−5.66223	+	13.1057i	−0.274015	+	0.634231i
$428$	0.495696	−	1.45429i	0.0239604	−	0.0702960i
$429$	−8.38489	−	0.912803i	−0.404826	−	0.0440705i
$430$	3.42403	+	34.9891i	0.165121	+	1.68733i
$431$	−10.5320	+	18.2419i	−0.507308	+	0.878684i	0.492656	+	0.870224i	$0.336026\pi$
$431$	−10.5320	+	18.2419i	−0.507308	+	0.878684i	−0.999964	+	0.00845959i	$0.997307\pi$
$432$	−9.20324	+	18.6360i	−0.442791	+	0.896625i
$433$	−6.03505			−0.290026			−0.145013	−	0.989430i	$-0.546322\pi$
$433$	−6.03505			−0.290026			−0.145013	+	0.989430i	$0.546322\pi$
$434$	3.52036	−	0.762592i	0.168982	−	0.0366056i
$435$	3.28364	−	4.48440i	0.157438	−	0.215011i
$436$	30.9540	−	6.11689i	1.48243	−	0.292946i
$437$	32.7526	−	18.9097i	1.56677	−	0.904574i
$438$	−13.3147	−	7.88173i	−0.636200	−	0.376603i
$439$	29.2783	+	16.9038i	1.39738	+	0.806775i	0.994117	−	0.108311i	$-0.0345444\pi$
$439$	29.2783	+	16.9038i	1.39738	+	0.806775i	0.403258	+	0.915086i	$0.367878\pi$
$440$	−15.3967	+	4.63899i	−0.734007	+	0.221155i
$441$	−10.2318	+	18.3388i	−0.487229	+	0.873274i
$442$	−8.28961	+	0.811220i	−0.394297	+	0.0385858i
$443$	15.3234	−	26.5410i	0.728039	−	1.26100i	−0.229672	−	0.973268i	$-0.573765\pi$
$443$	15.3234	−	26.5410i	0.728039	−	1.26100i	0.957711	−	0.287732i	$-0.0929012\pi$
$444$	5.27987	−	0.458716i	0.250572	−	0.0217697i
$445$	−1.54218	−	2.67114i	−0.0731064	−	0.126624i
$446$	34.6850	−	3.39426i	1.64238	−	0.160723i
$447$	12.0792	−	5.32433i	0.571329	−	0.251832i
$448$	16.1740	−	13.6529i	0.764150	−	0.645038i
$449$		−	4.37786i		−	0.206604i	−0.994650	−	0.103302i	$-0.967059\pi$
$449$		−	4.37786i		−	0.206604i	0.994650	−	0.103302i	$-0.0329408\pi$
$450$	−32.2821	+	13.8117i	−1.52179	+	0.651089i
$451$	−3.35019	−	1.93423i	−0.157754	−	0.0910795i
$452$	−4.12750	−	20.8869i	−0.194141	−	0.982435i
$453$	−22.1231	+	9.75151i	−1.03944	+	0.458166i
$454$	−6.99893	−	3.17645i	−0.328476	−	0.149078i
$455$	27.6186	+	11.9324i	1.29478	+	0.559401i
$456$	7.42783	−	21.0392i	0.347840	−	0.985251i
$457$	−7.48908	+	12.9715i	−0.350325	+	0.606780i	−0.986306	−	0.164924i	$-0.947262\pi$
$457$	−7.48908	+	12.9715i	−0.350325	+	0.606780i	0.635982	+	0.771704i	$0.280595\pi$
$458$	−21.5526	−	9.78161i	−1.00709	−	0.457065i
$459$	6.47982	+	7.35994i	0.302452	+	0.343532i
$460$	−45.5461	+	39.8421i	−2.12360	+	1.85765i
$461$	30.6863	−	17.7168i	1.42920	−	0.825152i	0.432147	−	0.901803i	$-0.357756\pi$
$461$	30.6863	−	17.7168i	1.42920	−	0.825152i	0.997058	+	0.0766514i	$0.0244229\pi$
$462$	−1.05873	−	10.0565i	−0.0492564	−	0.467869i
$463$	−5.19915	−	3.00173i	−0.241625	−	0.139502i	0.374298	−	0.927308i	$-0.377884\pi$
$463$	−5.19915	−	3.00173i	−0.241625	−	0.139502i	−0.615923	+	0.787806i	$0.711217\pi$
$464$	−1.33997	−	3.25800i	−0.0622064	−	0.151249i
$465$	−3.58929	+	4.90182i	−0.166449	+	0.227316i
$466$	−2.88858	+	0.282676i	−0.133811	+	0.0130947i
$467$	12.9864	+	22.4931i	0.600938	+	1.04085i	0.992679	+	0.120779i	$0.0385393\pi$
$467$	12.9864	+	22.4931i	0.600938	+	1.04085i	−0.391742	+	0.920075i	$0.628127\pi$
$468$	−9.71356	+	16.0090i	−0.449010	+	0.740017i
$469$	−10.8857	+	8.09433i	−0.502654	+	0.373761i
$470$	38.6890	+	54.0618i	1.78459	+	2.49369i
$471$	−15.0801	+	20.5945i	−0.694852	+	0.948946i
$472$	−20.1032	+	21.3834i	−0.925327	+	0.984252i
$473$	9.21928	−	5.32275i	0.423903	−	0.244740i
$474$	−5.74854	+	9.71105i	−0.264039	+	0.446043i
$475$	32.6429	−	18.8464i	1.49776	−	0.864732i
$476$	−3.05462	−	9.50723i	−0.140008	−	0.435763i
$477$	31.8784	−	10.0966i	1.45961	−	0.462293i
$478$	−11.4006	+	8.15878i	−0.521453	+	0.373174i
$479$	−18.3555			−0.838686			−0.419343	−	0.907828i	$-0.637740\pi$
$479$	−18.3555			−0.838686			−0.419343	+	0.907828i	$0.637740\pi$
$480$	−5.13328	+	35.3293i	−0.234301	+	1.61255i
$481$	4.77471			0.217708
$482$	−25.8434	−	11.7290i	−1.17713	−	0.534240i
$483$	−19.2682	−	32.8146i	−0.876732	−	1.49312i
$484$	−11.2790	−	12.8937i	−0.512681	−	0.586079i
$485$	8.29531	−	4.78930i	0.376671	−	0.217471i
$486$	21.9767	−	1.73909i	0.996884	−	0.0788868i
$487$	17.2904	+	9.98262i	0.783503	+	0.452356i	0.837670	−	0.546176i	$-0.183917\pi$
$487$	17.2904	+	9.98262i	0.783503	+	0.452356i	−0.0541675	+	0.998532i	$0.517250\pi$
$488$	−14.8571	−	3.49360i	−0.672549	−	0.158148i
$489$	−0.128458	−	0.0940612i	−0.00580905	−	0.00425360i
$490$	−6.97126	+	35.3901i	−0.314929	+	1.59876i
$491$	19.7197	−	34.1555i	0.889938	−	1.54142i	0.0499912	−	0.998750i	$-0.484081\pi$
$491$	19.7197	−	34.1555i	0.889938	−	1.54142i	0.839947	−	0.542668i	$-0.182586\pi$
$492$	−7.03823	+	4.92189i	−0.317308	+	0.221896i
$493$	−1.66202			−0.0748535
$494$	8.30745	−	18.3045i	0.373770	−	0.823557i
$495$	12.5897	+	11.5064i	0.565867	+	0.517175i
$496$	1.46470	+	3.56127i	0.0657667	+	0.159906i
$497$	−18.9890	+	2.20839i	−0.851772	+	0.0990597i
$498$	−0.613364	+	0.345278i	−0.0274855	+	0.0154723i
$499$		−	9.58574i		−	0.429117i	−0.976711	−	0.214558i	$-0.931169\pi$
$499$		−	9.58574i		−	0.429117i	0.976711	−	0.214558i	$-0.0688312\pi$
$500$	−17.9692	+	15.7188i	−0.803605	+	0.702966i
$501$	−7.58338	−	0.825548i	−0.338800	−	0.0368828i
$502$	−13.0985	−	5.94472i	−0.584613	−	0.265326i
$503$	−34.6844			−1.54650			−0.773250	−	0.634102i	$-0.781370\pi$
$503$	−34.6844			−1.54650			−0.773250	+	0.634102i	$0.781370\pi$
$504$	−21.2237	−	7.31816i	−0.945378	−	0.325977i
$505$	32.2599			1.43555
$506$	16.6857	+	7.57276i	0.741769	+	0.336650i
$507$	3.33581	−	4.55566i	0.148149	−	0.202324i
$508$	11.0333	−	9.65153i	0.489522	−	0.428217i
$509$			21.6564i			0.959903i	0.877295	+	0.479951i	$0.159346\pi$
$509$			21.6564i			0.959903i	−0.877295	+	0.479951i	$0.840654\pi$
$510$	14.4939	+	8.57979i	0.641801	+	0.379920i
$511$	6.62827	−	15.3417i	0.293218	−	0.678678i
$512$	17.4101	+	14.4529i	0.769427	+	0.638735i
$513$	−23.2016	+	4.66194i	−1.02438	+	0.205830i
$514$	−4.91721	+	10.8345i	−0.216889	+	0.477888i
$515$	−24.2676			−1.06936
$516$	−2.04565	−	23.5456i	−0.0900546	−	1.03654i
$517$	10.0652	−	17.4334i	0.442666	−	0.766720i
$518$	1.21193	+	5.59464i	0.0532492	+	0.245814i
$519$	3.05605	−	28.0724i	0.134146	−	1.23224i
$520$	−7.36231	+	31.3094i	−0.322859	+	1.37301i
$521$	−12.3442	−	7.12695i	−0.540811	−	0.312237i	0.204597	−	0.978846i	$-0.434412\pi$
$521$	−12.3442	−	7.12695i	−0.540811	−	0.312237i	−0.745407	+	0.666609i	$0.767745\pi$
$522$	−2.24016	+	2.99049i	−0.0980491	+	0.130890i
$523$	24.4568	−	14.1201i	1.06942	−	0.617431i	0.141398	−	0.989953i	$-0.454840\pi$
$523$	24.4568	−	14.1201i	1.06942	−	0.617431i	0.928023	+	0.372522i	$0.121507\pi$
$524$	−0.149433	−	0.170826i	−0.00652801	−	0.00746258i
$525$	−19.2036	−	32.7047i	−0.838116	−	1.42735i
$526$	−9.72362	−	4.41305i	−0.423970	−	0.192418i
$527$	1.81672			0.0791376
$528$	10.3840	−	3.00576i	0.451904	−	0.130809i
$529$	45.9554			1.99806
$530$	46.7076	−	33.4260i	2.02885	−	1.45193i
$531$	30.4006	+	6.69838i	1.31927	+	0.290685i
$532$	23.5564	+	5.08794i	1.02130	+	0.220590i
$533$	−6.70095	+	3.86879i	−0.290250	+	0.167576i
$534$	1.01714	+	1.80689i	0.0440161	+	0.0781917i
$535$	−2.42413	+	1.39957i	−0.104804	+	0.0605087i
$536$	−10.5658	−	9.93321i	−0.456372	−	0.429049i
$537$	28.2000	+	3.06993i	1.21692	+	0.132477i
$538$	17.4685	+	24.4095i	0.753121	+	1.05237i
$539$	10.6307	−	2.50658i	0.457899	−	0.107966i
$540$	34.9735	−	14.5148i	1.50502	−	0.624617i
$541$	8.77667	+	15.2016i	0.377339	+	0.653570i	0.990674	−	0.136253i	$-0.0435059\pi$
$541$	8.77667	+	15.2016i	0.377339	+	0.653570i	−0.613335	+	0.789823i	$0.710173\pi$
$542$	−41.9771	+	4.10787i	−1.80307	+	0.176448i
$543$	−8.72233	−	19.7883i	−0.374311	−	0.849195i
$544$	9.43053	−	5.00286i	0.404331	−	0.214496i
$545$	−49.7819	−	28.7416i	−2.13242	−	1.23116i
$546$	−18.4786	−	8.22339i	−0.790811	−	0.351929i
$547$	−16.3167	+	9.42044i	−0.697651	+	0.402789i	−0.806472	−	0.591272i	$-0.798626\pi$
$547$	−16.3167	+	9.42044i	−0.697651	+	0.402789i	0.108821	+	0.994061i	$0.465293\pi$
$548$	−15.7062	+	13.7392i	−0.670934	+	0.586910i
$549$	4.88785	+	15.4326i	0.208608	+	0.658646i
$550$	16.6298	+	7.54740i	0.709097	+	0.321822i
$551$	2.00553	−	3.47367i	0.0854383	−	0.147983i
$552$	30.9088	−	26.4495i	1.31556	−	1.12577i
$553$	−11.1895	−	4.83433i	−0.475825	−	0.205577i
$554$	27.7595	+	12.5986i	1.17939	+	0.535263i
$555$	−7.79009	−	5.70418i	−0.330671	−	0.242129i
$556$	−3.19720	−	16.1792i	−0.135592	−	0.686150i
$557$	18.9263	+	10.9271i	0.801935	+	0.462997i	0.844147	−	0.536111i	$-0.180107\pi$
$557$	18.9263	+	10.9271i	0.801935	+	0.462997i	−0.0422123	+	0.999109i	$0.513441\pi$
$558$	2.44868	−	3.26885i	0.103661	−	0.138382i
$559$		−	21.2928i		−	0.900589i
$560$	−38.5547	−	0.679546i	−1.62923	−	0.0287161i
$561$	0.551956	−	5.07019i	0.0233036	−	0.214064i
$562$	−34.1816	+	3.34501i	−1.44186	+	0.141101i
$563$	3.76427	+	6.51991i	0.158645	+	0.274782i	0.934380	−	0.356277i	$-0.115954\pi$
$563$	3.76427	+	6.51991i	0.158645	+	0.274782i	−0.775735	+	0.631059i	$0.782621\pi$
$564$	−25.6120	−	36.6248i	−1.07846	−	1.54218i
$565$	−19.3940	+	33.5914i	−0.815911	+	1.41320i
$566$	−18.4338	+	1.80393i	−0.774829	+	0.0758246i
$567$	4.86207	+	23.3101i	0.204188	+	0.978932i
$568$	−5.89580	−	19.5680i	−0.247382	−	0.821054i
$569$	15.3947	+	8.88812i	0.645378	+	0.372609i	0.786683	−	0.617357i	$-0.211796\pi$
$569$	15.3947	+	8.88812i	0.645378	+	0.372609i	−0.141305	+	0.989966i	$0.545130\pi$
$570$	−35.4216	+	19.9397i	−1.48365	+	0.835183i
$571$	−6.14924	+	3.55026i	−0.257337	+	0.148574i	−0.623119	−	0.782127i	$-0.714135\pi$
$571$	−6.14924	+	3.55026i	−0.257337	+	0.148574i	0.365782	+	0.930701i	$0.380802\pi$
$572$	9.55447	−	1.88808i	0.399493	−	0.0789446i
$573$	28.9822	+	3.15508i	1.21075	+	0.131805i
$574$	−6.23401	−	6.86967i	−0.260203	−	0.286734i
$575$	68.7245			2.86601
$576$	3.70928	−	23.7116i	0.154553	−	0.987984i
$577$	0.540955	−	0.936962i	0.0225203	−	0.0390062i	−0.854546	−	0.519376i	$-0.826164\pi$
$577$	0.540955	−	0.936962i	0.0225203	−	0.0390062i	0.877066	+	0.480370i	$0.159498\pi$
$578$	1.85099	+	18.9148i	0.0769912	+	0.786750i
$579$	13.7559	−	18.7861i	0.571674	−	0.780724i
$580$	−2.07057	+	6.07472i	−0.0859757	+	0.252239i
$581$	−0.453648	−	0.610089i	−0.0188205	−	0.0253108i
$582$	−5.61136	+	3.15878i	−0.232598	+	0.130935i
$583$	−15.0619	−	8.69598i	−0.623799	−	0.360151i
$584$	17.3919	+	4.08965i	0.719681	+	0.169231i
$585$	32.5222	−	10.3005i	1.34463	−	0.425874i
$586$	−21.4107	−	29.9181i	−0.884467	−	1.23590i
$587$	10.9645	+	18.9911i	0.452553	+	0.783845i	0.998544	−	0.0539464i	$-0.0171800\pi$
$587$	10.9645	+	18.9911i	0.452553	+	0.783845i	−0.545991	+	0.837791i	$0.683847\pi$
$588$	4.94525	−	23.7391i	0.203939	−	0.978984i
$589$	−2.19221	+	3.79701i	−0.0903283	+	0.156453i
$590$	53.2153	−	5.20764i	2.19084	−	0.214395i
$591$	8.58797	−	3.78543i	0.353262	−	0.155712i
$592$	−5.65965	+	2.32773i	−0.232610	+	0.0956691i
$593$	4.69446	−	2.71035i	0.192778	−	0.111301i	−0.400504	−	0.916295i	$-0.631165\pi$
$593$	4.69446	−	2.71035i	0.192778	−	0.111301i	0.593283	+	0.804994i	$0.297832\pi$
$594$	−8.37892	−	7.82703i	−0.343791	−	0.321147i
$595$	−7.21532	+	16.7005i	−0.295799	+	0.684654i
$596$	−11.4727	+	10.0359i	−0.469940	+	0.411087i
$597$	−0.451731	+	4.14954i	−0.0184881	+	0.169829i
$598$	29.8046	−	21.3295i	1.21880	−	0.872226i
$599$	13.1792	+	22.8271i	0.538489	+	0.932691i	0.998986	+	0.0450294i	$0.0143381\pi$
$599$	13.1792	+	22.8271i	0.538489	+	0.932691i	−0.460496	+	0.887662i	$0.652329\pi$
$600$	30.8053	−	26.3609i	1.25762	−	1.07618i
$601$	1.02878	+	1.78190i	0.0419648	+	0.0726852i	0.886245	−	0.463217i	$-0.153305\pi$
$601$	1.02878	+	1.78190i	0.0419648	+	0.0726852i	−0.844280	+	0.535902i	$0.819972\pi$
$602$	24.9493	−	5.40460i	1.01686	−	0.220275i
$603$	−3.30973	+	15.0212i	−0.134783	+	0.611712i
$604$	21.0122	−	18.3808i	0.854976	−	0.747903i
$605$			31.2092i			1.26884i
$606$	−21.6859	−	0.236095i	−0.880929	−	0.00959071i
$607$			35.6758i			1.44804i	0.689782	+	0.724018i	$0.257707\pi$
$607$			35.6758i			1.44804i	−0.689782	+	0.724018i	$0.742293\pi$
$608$	−0.923496	+	25.7470i	−0.0374527	+	1.04418i
$609$	−3.50989	−	1.99222i	−0.142228	−	0.0807287i
$610$	16.1818	+	22.6115i	0.655181	+	0.915513i
$611$	−20.1320	−	34.8697i	−0.814455	−	1.41068i
$612$	−9.68037	−	5.87362i	−0.391306	−	0.237427i
$613$	−16.2073	+	28.0718i	−0.654605	+	1.13381i	0.327388	+	0.944890i	$0.393832\pi$
$613$	−16.2073	+	28.0718i	−0.654605	+	1.13381i	−0.981993	+	0.188919i	$0.939502\pi$
$614$	−2.98745	+	6.58248i	−0.120564	+	0.265647i
$615$	15.5547	+	1.69333i	0.627228	+	0.0682818i
$616$	4.63745	+	10.7160i	0.186848	+	0.431759i
$617$	−26.8816	−	15.5201i	−1.08221	−	0.624816i	−0.150720	−	0.988576i	$-0.548159\pi$
$617$	−26.8816	−	15.5201i	−1.08221	−	0.624816i	−0.931492	+	0.363761i	$0.881493\pi$
$618$	16.3133	+	0.177603i	0.656215	+	0.00714425i
$619$		−	6.06207i		−	0.243655i	−0.992551	−	0.121828i	$-0.961124\pi$
$619$		−	6.06207i		−	0.243655i	0.992551	−	0.121828i	$-0.0388755\pi$
$620$	2.26330	−	6.64017i	0.0908964	−	0.266676i
$621$	−40.8855	−	13.7903i	−1.64068	−	0.553385i
$622$	0.426414	+	4.35739i	0.0170976	+	0.174716i
$623$	−1.79724	+	1.33639i	−0.0720049	+	0.0535411i
$624$	5.17826	−	20.9931i	0.207296	−	0.840395i
$625$	2.11366			0.0845463
$626$	15.3967	−	11.0185i	0.615376	−	0.440390i
$627$	9.93085	+	7.27172i	0.396600	+	0.290405i
$628$	9.50906	−	27.8981i	0.379453	−	1.11325i
$629$			2.88718i			0.115119i
$630$	20.3242	+	35.4925i	0.809737	+	1.41406i
$631$			46.7236i			1.86004i	0.367512	+	0.930019i	$0.380210\pi$
$631$			46.7236i			1.86004i	−0.367512	+	0.930019i	$0.619790\pi$
$632$	2.98278	−	12.6848i	0.118649	−	0.504573i
$633$	3.58337	−	32.9164i	0.142426	−	1.30831i
$634$	−8.15055	−	11.3891i	−0.323700	−	0.452320i
$635$	−26.7060			−1.05980
$636$	−31.6426	+	22.1279i	−1.25471	+	0.877430i
$637$	6.28975	−	20.9213i	0.249209	−	0.828933i
$638$	1.93414	−	0.189274i	0.0765732	−	0.00749344i
$639$	−14.6238	+	16.0006i	−0.578508	+	0.632974i
$640$	−6.53689	−	40.7015i	−0.258393	−	1.60887i
$641$			15.7000i			0.620111i	0.950718	+	0.310056i	$0.100348\pi$
$641$			15.7000i			0.620111i	−0.950718	+	0.310056i	$0.899652\pi$
$642$	1.63980	−	0.923084i	0.0647178	−	0.0364312i
$643$	−11.5137	−	6.64746i	−0.454057	−	0.262150i	0.255485	−	0.966813i	$-0.417765\pi$
$643$	−11.5137	−	6.64746i	−0.454057	−	0.262150i	−0.709542	+	0.704663i	$0.751098\pi$
$644$	32.5573	+	29.5088i	1.28294	+	1.16281i
$645$	−25.4378	+	34.7399i	−1.00161	+	1.36788i
$646$	11.0684	+	5.02337i	0.435480	+	0.197642i
$647$	4.58483	−	7.94116i	0.180248	−	0.312199i	−0.761717	−	0.647910i	$-0.775643\pi$
$647$	4.58483	−	7.94116i	0.180248	−	0.312199i	0.941965	+	0.335711i	$0.108977\pi$
$648$	−23.6162	+	9.50124i	−0.927733	+	0.373244i
$649$	−8.09542	−	14.0217i	−0.317773	−	0.550399i
$650$	29.7048	−	21.2580i	1.16512	−	0.833808i
$651$	3.83660	+	2.17766i	0.150368	+	0.0853492i
$652$	0.174013	+	0.0593124i	0.00681488	+	0.00232285i
$653$			5.37138i			0.210198i	0.994462	+	0.105099i	$0.0335160\pi$
$653$			5.37138i			0.210198i	−0.994462	+	0.105099i	$0.966484\pi$
$654$	33.2543	+	19.6851i	1.30034	+	0.769750i
$655$			0.413485i			0.0161562i
$656$	6.05682	−	7.85263i	0.236479	−	0.306594i
$657$	−5.72177	−	18.0656i	−0.223228	−	0.704805i
$658$	35.7477	−	32.4399i	1.39359	−	1.26464i
$659$	−4.04523	−	7.00654i	−0.157580	−	0.272936i	0.776416	−	0.630221i	$-0.217036\pi$
$659$	−4.04523	−	7.00654i	−0.157580	−	0.272936i	−0.933995	+	0.357285i	$0.883702\pi$
$660$	−17.8441	−	8.33395i	−0.694580	−	0.324399i
$661$	8.26283	+	14.3116i	0.321387	+	0.556658i	0.980774	−	0.195145i	$-0.0625177\pi$
$661$	8.26283	+	14.3116i	0.321387	+	0.556658i	−0.659388	+	0.751803i	$0.729184\pi$
$662$	−21.3979	−	29.9002i	−0.831652	−	1.16210i
$663$	−8.23057	−	6.02672i	−0.319649	−	0.234058i
$664$	0.556708	−	0.592160i	0.0216045	−	0.0229803i
$665$	−26.1980	−	35.2325i	−1.01592	−	1.36626i
$666$	5.19494	+	3.89150i	0.201300	+	0.150793i
$667$	6.33348	−	3.65663i	0.245233	−	0.141585i
$668$	8.64116	−	1.70760i	0.334337	−	0.0660689i
$669$	34.4379	+	25.2167i	1.33145	+	0.974933i
$670$	2.57315	+	26.2942i	0.0994093	+	1.01583i
$671$	4.20978	−	7.29156i	0.162517	−	0.281487i
$672$	25.9124	+	0.738971i	0.999594	+	0.0285064i
$673$	−12.7108	−	22.0158i	−0.489967	−	0.848648i	0.509966	−	0.860194i	$-0.329658\pi$
$673$	−12.7108	−	22.0158i	−0.489967	−	0.848648i	−0.999933	+	0.0115467i	$0.996324\pi$
$674$	19.6055	−	14.0305i	0.755175	−	0.540436i
$675$	−40.7486	−	13.7441i	−1.56841	−	0.529010i
$676$	−2.10347	+	6.17125i	−0.0809027	+	0.237356i
$677$	−37.2788	−	21.5229i	−1.43274	−	0.827193i	−0.435410	−	0.900232i	$-0.643397\pi$
$677$	−37.2788	−	21.5229i	−1.43274	−	0.827193i	−0.997329	+	0.0730395i	$0.976730\pi$
$678$	13.2830	−	22.4390i	0.510129	−	0.861765i
$679$	−4.15019	−	5.58140i	−0.159270	−	0.214194i
$680$	−18.9322	−	4.45186i	−0.726018	−	0.170721i
$681$	−3.79680	−	8.61375i	−0.145494	−	0.330080i
$682$	−2.11417	+	0.206892i	−0.0809558	+	0.00792232i
$683$	−9.76281	+	16.9097i	−0.373563	+	0.647031i	−0.990111	−	0.140287i	$-0.955198\pi$
$683$	−9.76281	+	16.9097i	−0.373563	+	0.647031i	0.616547	+	0.787318i	$0.288531\pi$
$684$	23.9572	−	13.1447i	0.916027	−	0.502601i
$685$	38.0167			1.45254
$686$	26.1105	+	2.05954i	0.996904	+	0.0786335i
$687$	−11.6919	−	26.5253i	−0.446074	−	1.01200i
$688$	10.3805	+	25.2392i	0.395753	+	0.962236i
$689$	−30.1263	+	17.3934i	−1.14772	+	0.662636i
$690$	−74.1088	−	0.806826i	−2.82127	−	0.0307153i
$691$	−34.0287	−	19.6465i	−1.29451	−	0.747388i	−0.315063	−	0.949071i	$-0.602025\pi$
$691$	−34.0287	−	19.6465i	−1.29451	−	0.747388i	−0.979451	+	0.201683i	$0.935359\pi$
$692$	6.32125	+	31.9882i	0.240298	+	1.21601i
$693$	7.24315	−	10.0457i	0.275144	−	0.381606i
$694$	−2.59993	−	26.5679i	−0.0986920	−	1.00850i
$695$	−15.0228	+	26.0202i	−0.569847	+	0.987004i
$696$	1.43634	−	4.06842i	0.0544445	−	0.154213i
$697$	−2.33939	−	4.05194i	−0.0886107	−	0.153478i
$698$	2.51751	+	25.7257i	0.0952892	+	0.973732i
$699$	−2.86801	−	2.10006i	−0.108478	−	0.0794314i
$700$	32.4483	+	29.4100i	1.22643	+	1.11159i
$701$			23.3097i			0.880396i	0.897901	+	0.440198i	$0.145092\pi$
$701$			23.3097i			0.880396i	−0.897901	+	0.440198i	$0.854908\pi$
$702$	−21.9376	+	6.68624i	−0.827981	+	0.252356i
$703$	−6.03431	−	3.48391i	−0.227588	−	0.131398i
$704$	−10.4048	+	6.89594i	−0.392147	+	0.259901i
$705$	−8.81160	+	80.9422i	−0.331864	+	3.04846i
$706$	−4.76979	+	10.5097i	−0.179513	+	0.395536i
$707$	−2.70603	−	23.2680i	−0.101771	−	0.875083i
$708$	−35.8107	+	3.11124i	−1.34585	+	0.116928i
$709$	25.3496	−	43.9068i	0.952024	−	1.64895i	0.210990	−	0.977488i	$-0.432331\pi$
$709$	25.3496	−	43.9068i	0.952024	−	1.64895i	0.741035	−	0.671466i	$-0.234335\pi$
$710$	−15.3873	+	33.9040i	−0.577474	+	1.27239i
$711$	−13.1761	+	4.17317i	−0.494143	+	0.156506i
$712$	−1.74442	−	1.63999i	−0.0653750	−	0.0614611i
$713$	−6.92301	+	3.99700i	−0.259269	+	0.149689i
$714$	4.97254	−	11.1737i	0.186093	−	0.418164i
$715$	−15.3660	−	8.87158i	−0.574657	−	0.331778i
$716$	−32.1335	+	6.34998i	−1.20089	+	0.237310i
$717$	−17.0692	−	1.85820i	−0.637461	−	0.0693958i
$718$	1.74078	+	17.7885i	0.0649655	+	0.663863i
$719$	−21.7660	−	37.6998i	−0.811735	−	1.40597i	−0.911649	−	0.410970i	$-0.865190\pi$
$719$	−21.7660	−	37.6998i	−0.811735	−	1.40597i	0.0999136	−	0.994996i	$-0.468143\pi$
$720$	−33.5282	+	28.0646i	−1.24952	+	1.04591i
$721$	2.03562	+	17.5034i	0.0758104	+	0.651861i
$722$	−2.00401	+	1.43416i	−0.0745816	+	0.0533739i
$723$	−14.0196	−	31.8060i	−0.521394	−	1.18288i
$724$	16.4409	+	18.7946i	0.611020	+	0.698496i
$725$	6.31227	−	3.64439i	0.234432	−	0.135349i
$726$	0.228406	−	20.9796i	0.00847694	−	0.778626i
$727$	20.1112	−	11.6112i	0.745882	−	0.430635i	−0.0783223	−	0.996928i	$-0.524956\pi$
$727$	20.1112	−	11.6112i	0.745882	−	0.430635i	0.824204	+	0.566293i	$0.191623\pi$
$728$	23.2000	+	2.68389i	0.859849	+	0.0994715i
$729$	21.4842	+	16.3532i	0.795712	+	0.605676i
$730$	−18.9426	−	26.4693i	−0.701096	−	0.979672i
$731$	12.8754			0.476213
$732$	−10.7123	−	15.3184i	−0.395938	−	0.566185i
$733$	35.6351			1.31621			0.658106	−	0.752925i	$-0.271358\pi$
$733$	35.6351			1.31621			0.658106	+	0.752925i	$0.271358\pi$
$734$	−11.2921	+	24.8808i	−0.416799	+	0.918367i
$735$	−35.2560	+	26.6197i	−1.30044	+	0.981882i
$736$	−24.9302	+	39.8128i	−0.918939	+	1.46752i
$737$	6.92825	−	4.00003i	0.255205	−	0.147343i
$738$	−10.4439	−	1.25214i	−0.384445	−	0.0460918i
$739$	−3.71926	−	2.14732i	−0.136815	−	0.0789903i	0.430030	−	0.902815i	$-0.358503\pi$
$739$	−3.71926	−	2.14732i	−0.136815	−	0.0789903i	−0.566845	+	0.823824i	$0.691836\pi$
$740$	10.5527	+	3.59690i	0.387926	+	0.132225i
$741$	22.5277	−	9.92985i	0.827577	−	0.364782i
$742$	−28.0270	−	30.8848i	−1.02890	−	1.13382i
$743$	−11.9408	+	20.6820i	−0.438064	+	0.758750i	−0.997540	−	0.0700971i	$-0.977669\pi$
$743$	−11.9408	+	20.6820i	−0.438064	+	0.758750i	0.559476	+	0.828847i	$0.311002\pi$
$744$	−1.57004	+	4.44712i	−0.0575606	+	0.163039i
$745$	27.7696			1.01740
$746$	−24.9120	−	11.3063i	−0.912092	−	0.413951i
$747$	−0.841868	−	0.185495i	−0.0308023	−	0.00678689i
$748$	1.14169	+	5.77742i	0.0417442	+	0.211243i
$749$	1.21281	+	1.63104i	0.0443149	+	0.0595971i
$750$	−29.2379	−	0.318315i	−1.06762	−	0.0116232i
$751$			10.9226i			0.398570i	0.979942	+	0.199285i	$0.0638620\pi$
$751$			10.9226i			0.398570i	−0.979942	+	0.199285i	$0.936138\pi$
$752$	40.8627	+	31.5178i	1.49011	+	1.14934i
$753$	−7.10569	−	16.1206i	−0.258946	−	0.587467i
$754$	1.60644	−	3.53959i	0.0585031	−	0.128904i
$755$	−50.8601			−1.85099
$756$	−13.4027	−	24.0077i	−0.487451	−	0.873150i
$757$	6.45814			0.234725			0.117363	−	0.993089i	$-0.462556\pi$
$757$	6.45814			0.234725			0.117363	+	0.993089i	$0.462556\pi$
$758$	15.9370	−	35.1153i	0.578859	−	1.27545i
$759$	9.05168	+	20.5354i	0.328555	+	0.745389i
$760$	32.1497	−	34.1971i	1.16619	−	1.24046i
$761$			23.2917i			0.844324i	0.906520	+	0.422162i	$0.138729\pi$
$761$			23.2917i			0.844324i	−0.906520	+	0.422162i	$0.861271\pi$
$762$	17.9524	+	0.195449i	0.650348	+	0.00708036i
$763$	−16.5546	+	38.3170i	−0.599315	+	1.38717i
$764$	−33.0248	+	6.52610i	−1.19479	+	0.236106i
$765$	6.22853	+	19.6656i	0.225193	+	0.711011i
$766$	20.4567	+	9.28425i	0.739132	+	0.335454i
$767$	−32.3844			−1.16933
$768$	4.09638	+	27.4084i	0.147815	+	0.989015i
$769$	20.7700	−	35.9746i	0.748984	−	1.29728i	−0.199326	−	0.979933i	$-0.563875\pi$
$769$	20.7700	−	35.9746i	0.748984	−	1.29728i	0.948310	−	0.317345i	$-0.102791\pi$
$770$	6.49479	−	20.2565i	0.234056	−	0.729995i
$771$	−13.3342	+	5.87751i	−0.480221	+	0.211673i
$772$	−8.67406	+	25.4483i	−0.312186	+	0.915905i
$773$	27.3095	+	15.7671i	0.982253	+	0.567104i	0.902950	−	0.429746i	$-0.141397\pi$
$773$	27.3095	+	15.7671i	0.982253	+	0.567104i	0.0793036	+	0.996851i	$0.474730\pi$
$774$	17.3542	−	23.1668i	0.623782	−	0.832715i
$775$	−6.89983	+	3.98362i	−0.247849	+	0.143096i
$776$	5.09304	−	5.41737i	0.182830	−	0.194472i
$777$	−3.46079	+	6.09722i	−0.124155	+	0.218736i
$778$	−1.38949	+	3.06157i	−0.0498156	+	0.109763i
$779$	11.2916			0.404564
$780$	−32.2816	+	22.5748i	−1.15587	+	0.808307i
$781$	11.2742			0.403421
$782$	12.8975	+	18.0223i	0.461215	+	0.644476i
$783$	−4.48657	+	0.901495i	−0.160337	+	0.0322168i
$784$	2.74392	+	27.8652i	0.0979970	+	0.995187i
$785$	−46.5026	+	26.8483i	−1.65975	+	0.958257i
$786$	0.00302610	−	0.277954i	0.000107937	−	0.00991430i
$787$	14.7826	−	8.53475i	0.526943	−	0.304231i	−0.212828	−	0.977090i	$-0.568267\pi$
$787$	14.7826	−	8.53475i	0.526943	−	0.304231i	0.739771	+	0.672859i	$0.234934\pi$
$788$	−8.15673	+	7.13523i	−0.290571	+	0.254182i
$789$	−5.27489	−	11.9671i	−0.187791	−	0.426040i
$790$	−19.3054	+	13.8158i	−0.686854	+	0.491543i
$791$	25.8552	+	11.1705i	0.919304	+	0.397178i
$792$	11.9342	+	5.73288i	0.424064	+	0.203709i
$793$	−8.42027	−	14.5843i	−0.299013	−	0.517905i
$794$	3.81429	+	38.9771i	0.135364	+	1.38324i
$795$	69.9314	+	7.61293i	2.48021	+	0.270003i
$796$	−0.934378	−	4.72835i	−0.0331182	−	0.167592i
$797$	−21.9438	−	12.6693i	−0.777289	−	0.448768i	0.0581795	−	0.998306i	$-0.481470\pi$
$797$	−21.9438	−	12.6693i	−0.777289	−	0.448768i	−0.835469	+	0.549538i	$0.814804\pi$
$798$	17.3531	+	23.8759i	0.614293	+	0.845196i
$799$	21.0851	−	12.1735i	0.745937	−	0.430667i
$800$	−24.8467	+	39.6795i	−0.878464	+	1.40288i
$801$	−0.546442	+	2.48003i	−0.0193076	+	0.0876275i
$802$	−5.55660	+	12.2433i	−0.196210	+	0.432326i
$803$	−4.92802	+	8.53558i	−0.173906	+	0.301214i
$804$	−1.53730	−	17.6944i	−0.0542162	−	0.624034i
$805$	−9.24752	−	79.5154i	−0.325932	−	2.80255i
$806$	−1.75597	+	3.86907i	−0.0618514	+	0.136282i
$807$	−3.97853	+	36.5463i	−0.140051	+	1.28649i
$808$	23.9775	−	7.22438i	0.843525	−	0.254153i
$809$	−14.0670	−	8.12161i	−0.494571	−	0.285541i	0.231898	−	0.972740i	$-0.425507\pi$
$809$	−14.0670	−	8.12161i	−0.494571	−	0.285541i	−0.726469	+	0.687199i	$0.758840\pi$
$810$	43.7797	+	15.2993i	1.53826	+	0.537562i
$811$			23.9948i			0.842572i	0.906928	+	0.421286i	$0.138421\pi$
$811$			23.9948i			0.842572i	−0.906928	+	0.421286i	$0.861579\pi$
$812$	4.55518	+	0.983872i	0.159855	+	0.0345272i
$813$	−41.6781	−	30.5182i	−1.46171	−	1.07032i
$814$	−0.328799	−	3.35989i	−0.0115244	−	0.117764i
$815$	−0.167465	−	0.290058i	−0.00586605	−	0.0101603i
$816$	12.6941	+	3.13120i	0.444383	+	0.109614i
$817$	−15.5365	+	26.9100i	−0.543553	+	0.941461i
$818$	3.38578	+	34.5983i	0.118381	+	1.20970i
$819$	−10.1574	−	22.5931i	−0.354930	−	0.789468i
$820$	−17.7244	+	3.50256i	−0.618964	+	0.122315i
$821$	−15.7723	−	9.10612i	−0.550456	−	0.317806i	0.198850	−	0.980030i	$-0.436279\pi$
$821$	−15.7723	−	9.10612i	−0.550456	−	0.317806i	−0.749306	+	0.662224i	$0.769613\pi$
$822$	−25.5557	−	0.278227i	−0.891359	−	0.00970426i
$823$	−24.8033	+	14.3202i	−0.864590	+	0.499171i	−0.865547	−	0.500828i	$-0.833029\pi$
$823$	−24.8033	+	14.3202i	−0.864590	+	0.499171i	0.000956736		1.00000i	$0.499695\pi$
$824$	−18.0371	+	5.43455i	−0.628353	+	0.189322i
$825$	9.02137	+	20.4667i	0.314084	+	0.712558i
$826$	−8.21991	−	37.9456i	−0.286007	−	1.32030i
$827$	−38.1991			−1.32831			−0.664157	−	0.747593i	$-0.731209\pi$
$827$	−38.1991			−1.32831			−0.664157	+	0.747593i	$0.731209\pi$
$828$	49.8118	+	1.08474i	1.73108	+	0.0376972i
$829$	20.2824	−	35.1301i	0.704437	−	1.22012i	−0.262458	−	0.964943i	$-0.584533\pi$
$829$	20.2824	−	35.1301i	0.704437	−	1.22012i	0.966894	−	0.255177i	$-0.0821336\pi$
$830$	−1.47366	+	0.144212i	−0.0511516	+	0.00500568i
$831$	15.0590	+	34.1642i	0.522392	+	1.18514i
$832$	1.53941	+	24.9198i	0.0533696	+	0.863937i
$833$	12.6508	+	3.80330i	0.438323	+	0.131777i
$834$	10.2891	−	17.3815i	0.356283	−	0.601872i
$835$	−13.8972	−	8.02354i	−0.480932	−	0.277666i
$836$	−13.4527	−	4.58534i	−0.465270	−	0.158587i
$837$	4.90419	−	0.985408i	0.169514	−	0.0340607i
$838$	8.58241	−	6.14194i	0.296474	−	0.212170i
$839$	9.26032	+	16.0393i	0.319702	+	0.553740i	0.980426	−	0.196889i	$-0.0630840\pi$
$839$	9.26032	+	16.0393i	0.319702	+	0.553740i	−0.660724	+	0.750629i	$0.729751\pi$
$840$	−34.6452	−	32.0951i	−1.19537	−	1.10739i
$841$	−14.1122	+	24.4430i	−0.486627	+	0.842863i
$842$	2.22972	+	22.7848i	0.0768412	+	0.785217i
$843$	−33.9382	−	24.8507i	−1.16889	−	0.855905i
$844$	7.41200	+	37.5078i	0.255131	+	1.29107i
$845$	10.2867	−	5.93903i	0.353873	−	0.204309i
$846$	6.51575	−	54.3468i	0.224016	−	1.86848i
$847$	22.5102	−	2.61790i	0.773459	−	0.0899520i
$848$	27.2304	−	35.3041i	0.935095	−	1.21235i
$849$	−18.3025	−	13.4017i	−0.628139	−	0.459946i
$850$	12.8543	+	17.9619i	0.440901	+	0.616090i
$851$	−6.35214	−	11.0022i	−0.217748	−	0.377151i
$852$	10.5918	−	22.6785i	0.362870	−	0.776951i
$853$	−12.6837	−	21.9688i	−0.434281	−	0.752196i	0.562956	−	0.826487i	$-0.309664\pi$
$853$	−12.6837	−	21.9688i	−0.434281	−	0.752196i	−0.997237	+	0.0742908i	$0.976331\pi$
$854$	14.9516	−	13.5681i	0.511632	−	0.464290i
$855$	−48.6176	−	10.7123i	−1.66269	−	0.366351i
$856$	−1.48833	+	1.58311i	−0.0508701	+	0.0541096i
$857$		−	2.13897i		−	0.0730657i	−0.999332	−	0.0365328i	$-0.988369\pi$
$857$		−	2.13897i		−	0.0730657i	0.999332	−	0.0365328i	$-0.0116314\pi$
$858$	10.2645	+	6.07615i	0.350424	+	0.207436i
$859$		−	16.8622i		−	0.575330i	−0.957731	−	0.287665i	$-0.907121\pi$
$859$		−	16.8622i		−	0.575330i	0.957731	−	0.287665i	$-0.0928791\pi$
$860$	16.0404	−	47.0599i	0.546972	−	1.60473i
$861$	−0.0834201	−	11.3612i	−0.00284295	−	0.387187i
$862$	24.2247	−	17.3363i	0.825097	−	0.590476i
$863$	11.5977	+	20.0877i	0.394789	+	0.683795i	0.993074	−	0.117488i	$-0.0374843\pi$
$863$	11.5977	+	20.0877i	0.394789	+	0.683795i	−0.598285	+	0.801283i	$0.704151\pi$
$864$	22.7439	−	18.6203i	0.773762	−	0.633476i
$865$	29.7019	−	51.4451i	1.00989	−	1.74919i
$866$	7.77188	+	3.52725i	0.264099	+	0.119861i
$867$	−13.7514	+	18.7800i	−0.467022	+	0.637804i
$868$	−4.97919	−	1.07545i	−0.169005	−	0.0365033i
$869$	6.22543	+	3.59425i	0.211183	+	0.121927i
$870$	−6.84960	+	3.85581i	−0.232223	+	0.130724i
$871$		−	16.0015i		−	0.542189i
$872$	−43.4374	−	10.2142i	−1.47098	−	0.345895i
$873$	−7.70182	−	1.69700i	−0.260667	−	0.0574346i
$874$	−53.2305	+	5.20912i	−1.80055	+	0.176201i
$875$	−3.64840	−	31.3710i	−0.123338	−	1.06053i
$876$	12.5399	+	17.9319i	0.423685	+	0.605864i
$877$	−22.3520			−0.754774			−0.377387	−	0.926056i	$-0.623177\pi$
$877$	−22.3520			−0.754774			−0.377387	+	0.926056i	$0.623177\pi$
$878$	−27.8246	−	38.8806i	−0.939036	−	1.31216i
$879$	4.87638	−	44.7938i	0.164476	−	1.51086i
$880$	22.5390	+	3.02471i	0.759789	+	0.101963i
$881$		−	6.15498i		−	0.207366i	−0.994610	−	0.103683i	$-0.966937\pi$
$881$		−	6.15498i		−	0.207366i	0.994610	−	0.103683i	$-0.0330628\pi$
$882$	23.8947	−	17.6364i	0.804577	−	0.593848i
$883$		−	16.2603i		−	0.547201i	−0.961843	−	0.273601i	$-0.911785\pi$
$883$		−	16.2603i		−	0.547201i	0.961843	−	0.273601i	$-0.0882147\pi$
$884$	11.1494	+	3.80028i	0.374995	+	0.127817i
$885$	52.8363	+	38.6886i	1.77607	+	1.30050i
$886$	−35.2456	+	25.2233i	−1.18410	+	0.847392i
$887$	−12.7688			−0.428734			−0.214367	−	0.976753i	$-0.568769\pi$
$887$	−12.7688			−0.428734			−0.214367	+	0.976753i	$0.568769\pi$
$888$	−7.06747	−	2.49515i	−0.237169	−	0.0837318i
$889$	2.24016	+	19.2622i	0.0751325	+	0.646032i
$890$	0.424830	+	4.34121i	0.0142403	+	0.145518i
$891$	−1.26013	−	13.9862i	−0.0422161	−	0.468557i
$892$	−46.6508	−	15.9009i	−1.56198	−	0.532402i
$893$			58.7581i			1.96627i
$894$	−18.6674	−	0.203233i	−0.624332	−	0.00679713i
$895$	51.6789	+	29.8368i	1.72744	+	0.997335i
$896$	−28.8083	+	8.12897i	−0.962419	+	0.271570i
$897$	44.6239	+	4.85788i	1.48995	+	0.162200i
$898$	−2.55869	+	5.63777i	−0.0853846	+	0.188135i
$899$	−0.423914	+	0.734241i	−0.0141383	+	0.0244883i
$900$	49.6450	+	1.08110i	1.65483	+	0.0360368i
$901$	−10.5175	−	18.2168i	−0.350388	−	0.606890i
$902$	3.18386	+	4.44895i	0.106011	+	0.148134i
$903$	27.1905	+	15.4334i	0.904844	+	0.513591i
$904$	−6.89222	+	29.3103i	−0.229232	+	0.974845i
$905$		−	45.4923i		−	1.51221i
$906$	34.1894	+	0.372221i	1.13587	+	0.0123662i
$907$		−	50.8965i		−	1.68999i	−0.534775	−	0.844995i	$-0.679603\pi$
$907$		−	50.8965i		−	1.68999i	0.534775	−	0.844995i	$-0.320397\pi$
$908$	7.15664	+	8.18121i	0.237502	+	0.271503i
$909$	−19.6062	−	17.9192i	−0.650297	−	0.594341i
$910$	−28.5930	−	31.5085i	−0.947848	−	1.04450i
$911$	23.5042	+	40.7105i	0.778730	+	1.34880i	0.932674	+	0.360720i	$0.117469\pi$
$911$	23.5042	+	40.7105i	0.778730	+	1.34880i	−0.153944	+	0.988080i	$0.549198\pi$
$912$	−21.8621	+	22.7528i	−0.723927	+	0.753421i
$913$	0.224182	+	0.388295i	0.00741935	+	0.0128507i
$914$	17.2257	−	12.3275i	0.569775	−	0.407756i
$915$	−3.68547	+	33.8543i	−0.121838	+	1.11919i
$916$	22.0383	+	25.1933i	0.728165	+	0.832411i
$917$	0.298233	−	0.0346840i	0.00984851	−	0.00114537i
$918$	−4.04305	−	13.2653i	−0.133440	−	0.437819i
$919$	9.14178	−	5.27801i	0.301559	−	0.174105i	−0.341584	−	0.939851i	$-0.610963\pi$
$919$	9.14178	−	5.27801i	0.301559	−	0.174105i	0.643143	+	0.765746i	$0.277630\pi$
$920$	81.9400	−	24.6884i	2.70148	−	0.813952i
$921$	−8.10122	+	3.57088i	−0.266944	+	0.117665i
$922$	−49.8723	+	4.88050i	−1.64246	+	0.160731i
$923$	11.2751	−	19.5290i	0.371124	−	0.642806i
$924$	−4.51420	+	13.5694i	−0.148506	+	0.446401i
$925$	−6.33086	−	10.9654i	−0.208158	−	0.360539i
$926$	4.94102	+	6.90431i	0.162372	+	0.226890i
$927$	14.7488	+	13.4797i	0.484415	+	0.442732i
$928$	−0.178580	+	4.97878i	−0.00586216	+	0.163437i
$929$	14.5932	+	8.42539i	0.478787	+	0.276428i	0.719911	−	0.694066i	$-0.244183\pi$
$929$	14.5932	+	8.42539i	0.478787	+	0.276428i	−0.241124	+	0.970494i	$0.577516\pi$
$930$	7.48717	−	4.21472i	0.245514	−	0.138206i
$931$	−23.2145	+	21.8511i	−0.760824	+	0.716142i
$932$	3.88510	+	1.32424i	0.127261	+	0.0433768i
$933$	−3.16791	+	4.32636i	−0.103713	+	0.141639i
$934$	−3.57740	−	36.5564i	−0.117056	−	1.19616i
$935$	5.36448	−	9.29156i	0.175437	−	0.303866i
$936$	21.8657	−	14.9391i	0.714703	−	0.488299i
$937$	−43.0721			−1.40710			−0.703552	−	0.710644i	$-0.748404\pi$
$937$	−43.0721			−1.40710			−0.703552	+	0.710644i	$0.748404\pi$
$938$	18.7493	−	4.06154i	0.612186	−	0.132614i
$939$	23.0522	+	2.50952i	0.752279	+	0.0818952i
$940$	−18.2263	−	92.2326i	−0.594475	−	3.00829i
$941$	−17.5403	+	10.1269i	−0.571798	+	0.330128i	−0.757867	−	0.652409i	$-0.773758\pi$
$941$	−17.5403	+	10.1269i	−0.571798	+	0.330128i	0.186069	+	0.982537i	$0.440425\pi$
$942$	31.4567	−	17.7077i	1.02491	−	0.576949i
$943$	17.8295	+	10.2939i	0.580609	+	0.335215i
$944$	38.3866	−	15.7878i	1.24938	−	0.513850i
$945$	−10.4191	+	48.9962i	−0.338932	+	1.59385i
$946$	−14.9834	+	1.46628i	−0.487154	+	0.0476728i
$947$	10.9507	−	18.9672i	0.355850	−	0.616351i	−0.631413	−	0.775447i	$-0.717525\pi$
$947$	10.9507	−	18.9672i	0.355850	−	0.616351i	0.987263	+	0.159096i	$0.0508580\pi$
$948$	13.0786	−	9.14600i	0.424775	−	0.297048i
$949$	9.85687	+	17.0726i	0.319968	+	0.554200i
$950$	−53.0522	+	5.19168i	−1.72124	+	0.168440i
$951$	1.85633	−	17.0520i	0.0601955	−	0.552948i
$952$	−1.62290	+	14.0286i	−0.0525985	+	0.454670i
$953$			13.7522i			0.445477i	0.974878	+	0.222738i	$0.0714996\pi$
$953$			13.7522i			0.445477i	−0.974878	+	0.222738i	$0.928500\pi$
$954$	−46.9538	−	5.62939i	−1.52019	−	0.182258i
$955$	53.1123	+	30.6644i	1.71867	+	0.992276i
$956$	19.4501	−	3.84358i	0.629062	−	0.124310i
$957$	1.92036	+	1.40616i	0.0620765	+	0.0454546i
$958$	23.6381	+	10.7281i	0.763712	+	0.346610i
$959$	−3.18892	−	27.4202i	−0.102976	−	0.885444i
$960$	27.2592	−	42.4965i	0.879787	−	1.37157i
$961$	−15.0366	+	26.0442i	−0.485052	+	0.840136i
$962$	−6.14882	−	2.79063i	−0.198246	−	0.0899736i
$963$	2.25069	+	0.495911i	0.0725276	+	0.0159805i
$964$	26.4257	+	30.2089i	0.851115	+	0.972964i
$965$	42.4192	−	24.4907i	1.36552	−	0.788384i
$966$	5.63447	+	53.5199i	0.181286	+	1.72197i
$967$	−33.4263	−	19.2987i	−1.07492	−	0.620604i	−0.145397	−	0.989373i	$-0.546446\pi$
$967$	−33.4263	−	19.2987i	−1.07492	−	0.620604i	−0.929521	+	0.368770i	$0.879779\pi$
$968$	6.98909	+	23.1966i	0.224638	+	0.745566i
$969$	6.00440	+	13.6221i	0.192889	+	0.437605i
$970$	−13.4818	+	1.31933i	−0.432874	+	0.0423610i
$971$	0.0180689	+	0.0312963i	0.000579859	+	0.00100434i	0.866315	−	0.499498i	$-0.166482\pi$
$971$	0.0180689	+	0.0312963i	0.000579859	+	0.00100434i	−0.865735	+	0.500502i	$0.833149\pi$
$972$	−29.3178	−	10.6050i	−0.940370	−	0.340154i
$973$	20.0277	+	8.65281i	0.642058	+	0.277396i
$974$	−16.4320	−	22.9611i	−0.526514	−	0.735721i
$975$	44.4744	+	4.84161i	1.42432	+	0.155056i
$976$	17.0909	+	13.1824i	0.547068	+	0.421959i
$977$	31.3087	−	18.0761i	1.00165	−	0.578305i	0.0929164	−	0.995674i	$-0.470381\pi$
$977$	31.3087	−	18.0761i	1.00165	−	0.578305i	0.908737	+	0.417369i	$0.137048\pi$
$978$	0.110451	+	0.196210i	0.00353184	+	0.00627409i
$979$	1.14386	−	0.660411i	0.0365581	−	0.0211068i
$980$	29.6617	−	41.5007i	0.947508	−	1.32569i
$981$	14.2905	+	45.1199i	0.456261	+	1.44057i
$982$	−45.3575	+	32.4598i	−1.44741	+	1.03583i
$983$	−43.0246			−1.37227			−0.686136	−	0.727474i	$-0.740694\pi$
$983$	−43.0246			−1.37227			−0.686136	+	0.727474i	$0.740694\pi$
$984$	11.9404	−	2.22479i	0.380647	−	0.0709237i
$985$	19.7433			0.629075
$986$	2.14033	+	0.971385i	0.0681620	+	0.0309352i
$987$	59.1200	−	0.434093i	1.88181	−	0.0138173i
$988$	−21.3965	+	18.7169i	−0.680714	+	0.595465i
$989$	−49.0644	+	28.3274i	−1.56016	+	0.900758i
$990$	−9.48788	−	22.1761i	−0.301545	−	0.704802i
$991$	−21.7449	−	12.5544i	−0.690750	−	0.398805i	0.113143	−	0.993579i	$-0.463908\pi$
$991$	−21.7449	−	12.5544i	−0.690750	−	0.398805i	−0.803893	+	0.594774i	$0.797242\pi$
$992$	0.195202	−	5.44222i	0.00619768	−	0.172791i
$993$	4.87346	−	44.7670i	0.154655	−	1.42064i
$994$	25.7445	+	8.25438i	0.816567	+	0.261813i
$995$	−4.39039	+	7.60438i	−0.139185	+	0.241075i
$996$	0.991687	−	0.0861579i	0.0314228	−	0.00273002i
$997$	−4.20990			−0.133329			−0.0666645	−	0.997775i	$-0.521236\pi$
$997$	−4.20990			−0.133329			−0.0666645	+	0.997775i	$0.521236\pi$
$998$	−5.60250	+	12.3444i	−0.177344	+	0.390756i
$999$	1.56604	+	7.79387i	0.0495472	+	0.246587i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	252.2.o.a.95.8	✓	88
3.2	odd	2		756.2.o.a.179.37		88
4.3	odd	2	inner	252.2.o.a.95.9	yes	88
7.2	even	3		252.2.bb.a.23.23	yes	88
9.2	odd	6		252.2.bb.a.11.22	yes	88
9.7	even	3		756.2.bb.a.683.23		88
12.11	even	2		756.2.o.a.179.36		88
21.2	odd	6		756.2.bb.a.611.22		88
28.23	odd	6		252.2.bb.a.23.22	yes	88
36.7	odd	6		756.2.bb.a.683.22		88
36.11	even	6		252.2.bb.a.11.23	yes	88
63.2	odd	6	inner	252.2.o.a.191.9	yes	88
63.16	even	3		756.2.o.a.359.36		88
84.23	even	6		756.2.bb.a.611.23		88
252.79	odd	6		756.2.o.a.359.37		88
252.191	even	6	inner	252.2.o.a.191.8	yes	88

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
252.2.o.a.95.8	✓	88	1.1	even	1	trivial
252.2.o.a.95.9	yes	88	4.3	odd	2	inner
252.2.o.a.191.8	yes	88	252.191	even	6	inner
252.2.o.a.191.9	yes	88	63.2	odd	6	inner
252.2.bb.a.11.22	yes	88	9.2	odd	6
252.2.bb.a.11.23	yes	88	36.11	even	6
252.2.bb.a.23.22	yes	88	28.23	odd	6
252.2.bb.a.23.23	yes	88	7.2	even	3
756.2.o.a.179.36		88	12.11	even	2
756.2.o.a.179.37		88	3.2	odd	2
756.2.o.a.359.36		88	63.16	even	3
756.2.o.a.359.37		88	252.79	odd	6
756.2.bb.a.611.22		88	21.2	odd	6
756.2.bb.a.611.23		88	84.23	even	6
756.2.bb.a.683.22		88	36.7	odd	6
756.2.bb.a.683.23		88	9.7	even	3

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:	\( N \)	\(=\)	\( 252 = 2^{2} \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	252.o (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.28779 - 0.584462i) q^{2} +(-0.698604 - 1.58491i) q^{3} +(1.31681 + 1.50533i) q^{4} -3.64364i q^{5} +(-0.0266661 + 2.44934i) q^{6} +(-2.62804 + 0.305637i) q^{7} +(-0.815968 - 2.70817i) q^{8} +(-2.02391 + 2.21445i) q^{9} +O(q^{10})\)	\(q+(-1.28779 - 0.584462i) q^{2} +(-0.698604 - 1.58491i) q^{3} +(1.31681 + 1.50533i) q^{4} -3.64364i q^{5} +(-0.0266661 + 2.44934i) q^{6} +(-2.62804 + 0.305637i) q^{7} +(-0.815968 - 2.70817i) q^{8} +(-2.02391 + 2.21445i) q^{9} +(-2.12957 + 4.69225i) q^{10} +1.56032 q^{11} +(1.46589 - 3.13866i) q^{12} +(1.56045 - 2.70278i) q^{13} +(3.56300 + 1.14239i) q^{14} +(-5.77486 + 2.54546i) q^{15} +(-0.532026 + 3.96446i) q^{16} +(1.63433 + 0.943578i) q^{17} +(3.90063 - 1.66886i) q^{18} +(-3.94422 + 2.27720i) q^{19} +(5.48488 - 4.79798i) q^{20} +(2.32037 + 3.95170i) q^{21} +(-2.00937 - 0.911948i) q^{22} -8.30394 q^{23} +(-3.72218 + 3.18518i) q^{24} -8.27613 q^{25} +(-3.58921 + 2.56860i) q^{26} +(4.92363 + 1.66069i) q^{27} +(-3.92071 - 3.55360i) q^{28} +(-0.762708 + 0.440349i) q^{29} +(8.92454 + 0.0971618i) q^{30} +(0.833702 - 0.481338i) q^{31} +(3.00221 - 4.79445i) q^{32} +(-1.09005 - 2.47298i) q^{33} +(-1.55318 - 2.17033i) q^{34} +(1.11363 + 9.57563i) q^{35} +(-5.99858 - 0.130629i) q^{36} +(0.764955 + 1.32494i) q^{37} +(6.41027 - 0.627308i) q^{38} +(-5.37382 - 0.585009i) q^{39} +(-9.86761 + 2.97310i) q^{40} +(-2.14712 - 1.23964i) q^{41} +(-0.678530 - 6.44512i) q^{42} +(5.90857 - 3.41132i) q^{43} +(2.05465 + 2.34880i) q^{44} +(8.06868 + 7.37439i) q^{45} +(10.6937 + 4.85333i) q^{46} +(6.45070 - 11.1729i) q^{47} +(6.65501 - 1.92637i) q^{48} +(6.81317 - 1.60645i) q^{49} +(10.6579 + 4.83708i) q^{50} +(0.353745 - 3.24945i) q^{51} +(6.12340 - 1.21006i) q^{52} +(-9.65305 - 5.57319i) q^{53} +(-5.36999 - 5.01629i) q^{54} -5.68526i q^{55} +(2.97211 + 6.86779i) q^{56} +(6.36461 + 4.66040i) q^{57} +(1.23958 - 0.121305i) q^{58} +(-5.18830 - 8.98640i) q^{59} +(-11.4361 - 5.34117i) q^{60} +(2.69802 - 4.67311i) q^{61} +(-1.35496 + 0.132596i) q^{62} +(4.64208 - 6.43825i) q^{63} +(-6.66839 + 4.41956i) q^{64} +(-9.84798 - 5.68573i) q^{65} +(-0.0416077 + 3.82177i) q^{66} +(4.44027 - 2.56359i) q^{67} +(0.731700 + 3.70271i) q^{68} +(5.80116 + 13.1610i) q^{69} +(4.16247 - 12.9823i) q^{70} +7.22553 q^{71} +(7.64856 + 3.67416i) q^{72} +(-3.15834 + 5.47040i) q^{73} +(-0.210725 - 2.15333i) q^{74} +(5.78173 + 13.1170i) q^{75} +(-8.62172 - 2.93872i) q^{76} +(-4.10059 + 0.476892i) q^{77} +(6.57844 + 3.89416i) q^{78} +(3.98983 + 2.30353i) q^{79} +(14.4451 + 1.93851i) q^{80} +(-0.807612 - 8.96369i) q^{81} +(2.04051 + 2.85130i) q^{82} +(0.143677 + 0.248856i) q^{83} +(-2.89312 + 8.69654i) q^{84} +(3.43806 - 5.95490i) q^{85} +(-9.60279 + 0.939727i) q^{86} +(1.23075 + 0.901196i) q^{87} +(-1.27317 - 4.22562i) q^{88} +(0.733095 - 0.423253i) q^{89} +(-6.08072 - 14.2125i) q^{90} +(-3.27486 + 7.57995i) q^{91} +(-10.9347 - 12.5002i) q^{92} +(-1.34531 - 0.985082i) q^{93} +(-14.8373 + 10.6182i) q^{94} +(8.29730 + 14.3713i) q^{95} +(-9.69614 - 1.40883i) q^{96} +(1.31443 + 2.27665i) q^{97} +(-9.71285 - 1.91327i) q^{98} +(-3.15795 + 3.45526i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 88 q - 3 q^{2} + q^{4} - 6 q^{6} - 2 q^{9}+O(q^{10}) \) 88 * q - 3 * q^2 + q^4 - 6 * q^6 - 2 * q^9	\( 88 q - 3 q^{2} + q^{4} - 6 q^{6} - 2 q^{9} + 2 q^{10} + 3 q^{12} - 4 q^{13} - 3 q^{14} + q^{16} + 5 q^{18} - 6 q^{20} - 6 q^{22} - 14 q^{24} - 60 q^{25} - 6 q^{26} - 24 q^{29} + 22 q^{30} + 27 q^{32} - 26 q^{33} - 4 q^{34} + 2 q^{36} - 4 q^{37} + 8 q^{40} - 12 q^{41} - 13 q^{42} - 57 q^{44} + 42 q^{45} - 6 q^{46} - 43 q^{48} - 2 q^{49} + 9 q^{50} + 14 q^{52} - 22 q^{54} - 66 q^{56} - 28 q^{57} - 10 q^{58} + 32 q^{60} + 2 q^{61} - 8 q^{64} + 18 q^{65} - 93 q^{66} - 6 q^{69} + 30 q^{70} + 53 q^{72} - 4 q^{73} - 6 q^{76} - 30 q^{77} + 55 q^{78} + 87 q^{80} + 26 q^{81} - 4 q^{82} - 7 q^{84} - 14 q^{85} - 18 q^{88} + 60 q^{89} + 41 q^{90} + 24 q^{92} - 30 q^{93} + 9 q^{94} - 20 q^{96} - 4 q^{97} - 57 q^{98}+O(q^{100}) \) 88 * q - 3 * q^2 + q^4 - 6 * q^6 - 2 * q^9 + 2 * q^10 + 3 * q^12 - 4 * q^13 - 3 * q^14 + q^16 + 5 * q^18 - 6 * q^20 - 6 * q^22 - 14 * q^24 - 60 * q^25 - 6 * q^26 - 24 * q^29 + 22 * q^30 + 27 * q^32 - 26 * q^33 - 4 * q^34 + 2 * q^36 - 4 * q^37 + 8 * q^40 - 12 * q^41 - 13 * q^42 - 57 * q^44 + 42 * q^45 - 6 * q^46 - 43 * q^48 - 2 * q^49 + 9 * q^50 + 14 * q^52 - 22 * q^54 - 66 * q^56 - 28 * q^57 - 10 * q^58 + 32 * q^60 + 2 * q^61 - 8 * q^64 + 18 * q^65 - 93 * q^66 - 6 * q^69 + 30 * q^70 + 53 * q^72 - 4 * q^73 - 6 * q^76 - 30 * q^77 + 55 * q^78 + 87 * q^80 + 26 * q^81 - 4 * q^82 - 7 * q^84 - 14 * q^85 - 18 * q^88 + 60 * q^89 + 41 * q^90 + 24 * q^92 - 30 * q^93 + 9 * q^94 - 20 * q^96 - 4 * q^97 - 57 * q^98

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