LMFDB - Embedded newform 98.2.e.b.15.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [98,2,Mod(15,98)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(98, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([10]))

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

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

chi := DirichletCharacter("98.15");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 98 = 2 \cdot 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	98.e (of order $7$, 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:	$0.782533939809$
Analytic rank:	$0$
Dimension:	$18$
Relative dimension:	$3$ over $\Q(\zeta_{7})$
Coefficient field:	$\mathbb{Q}[x]/(x^{18} + \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{18} + 37 x^{16} + 557 x^{14} + 4495 x^{12} + 21331 x^{10} + 60904 x^{8} + 101893 x^{6} + 91665 x^{4} + \cdots + 5103 $ x^18 + 37x^16 + 557x^14 + 4495x^12 + 21331x^10 + 60904x^8 + 101893x^6 + 91665x^4 + 36855x^2 + 5103
Coefficient ring:	$\Z[a_1, \ldots, a_{7}]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			15.1
Root			$-3.48640i$ of defining polynomial
Character	$\chi$	$=$	98.15
Dual form			98.2.e.b.85.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.222521 - 0.974928i) q^{2} +(-1.91682 + 2.40361i) q^{3} +(-0.900969 - 0.433884i) q^{4} +(-1.88629 + 2.36534i) q^{5} +(1.91682 + 2.40361i) q^{6} +(2.31779 + 1.27588i) q^{7} +(-0.623490 + 0.781831i) q^{8} +(-1.43560 - 6.28979i) q^{9} +O(q^{10})$	\(q+(0.222521 - 0.974928i) q^{2} +(-1.91682 + 2.40361i) q^{3} +(-0.900969 - 0.433884i) q^{4} +(-1.88629 + 2.36534i) q^{5} +(1.91682 + 2.40361i) q^{6} +(2.31779 + 1.27588i) q^{7} +(-0.623490 + 0.781831i) q^{8} +(-1.43560 - 6.28979i) q^{9} +(1.88629 + 2.36534i) q^{10} +(-0.673210 + 2.94953i) q^{11} +(2.76988 - 1.33390i) q^{12} +(0.532118 - 2.33136i) q^{13} +(1.75965 - 1.97577i) q^{14} +(-2.06968 - 9.06784i) q^{15} +(0.623490 + 0.781831i) q^{16} +(0.579338 - 0.278994i) q^{17} -6.45155 q^{18} +0.629295 q^{19} +(2.72577 - 1.31266i) q^{20} +(-7.50949 + 3.12544i) q^{21} +(2.72577 + 1.31266i) q^{22} +(8.46635 + 4.07718i) q^{23} +(-0.684104 - 2.99726i) q^{24} +(-0.924113 - 4.04880i) q^{25} +(-2.15450 - 1.03755i) q^{26} +(9.56038 + 4.60404i) q^{27} +(-1.53467 - 2.15518i) q^{28} +(-3.84228 + 1.85034i) q^{29} -9.30104 q^{30} -2.51075 q^{31} +(0.900969 - 0.433884i) q^{32} +(-5.79910 - 7.27184i) q^{33} +(-0.143085 - 0.626894i) q^{34} +(-7.38991 + 3.07567i) q^{35} +(-1.43560 + 6.28979i) q^{36} +(5.78775 - 2.78724i) q^{37} +(0.140031 - 0.613517i) q^{38} +(4.58372 + 5.74780i) q^{39} +(-0.673210 - 2.94953i) q^{40} +(1.29087 - 1.61870i) q^{41} +(1.37606 + 8.01669i) q^{42} +(0.845798 + 1.06060i) q^{43} +(1.88629 - 2.36534i) q^{44} +(17.5855 + 8.46871i) q^{45} +(5.85889 - 7.34682i) q^{46} +(-0.235928 + 1.03367i) q^{47} -3.07434 q^{48} +(3.74427 + 5.91443i) q^{49} -4.15293 q^{50} +(-0.439890 + 1.92728i) q^{51} +(-1.49096 + 1.86961i) q^{52} +(-4.22215 - 2.03328i) q^{53} +(6.61599 - 8.29618i) q^{54} +(-5.70676 - 7.15605i) q^{55} +(-2.44264 + 1.01662i) q^{56} +(-1.20624 + 1.51258i) q^{57} +(0.948965 + 4.15769i) q^{58} +(1.96057 + 2.45848i) q^{59} +(-2.06968 + 9.06784i) q^{60} +(4.86234 - 2.34158i) q^{61} +(-0.558695 + 2.44780i) q^{62} +(4.69759 - 16.4101i) q^{63} +(-0.222521 - 0.974928i) q^{64} +(4.51073 + 5.65627i) q^{65} +(-8.37995 + 4.03557i) q^{66} +6.32287 q^{67} -0.643016 q^{68} +(-26.0284 + 12.5346i) q^{69} +(1.35414 + 7.88903i) q^{70} +(-12.7586 - 6.14419i) q^{71} +(5.81264 + 2.79922i) q^{72} +(-0.925455 - 4.05468i) q^{73} +(-1.42946 - 6.26286i) q^{74} +(11.5031 + 5.53961i) q^{75} +(-0.566975 - 0.273041i) q^{76} +(-5.32360 + 5.97744i) q^{77} +(6.62367 - 3.18979i) q^{78} -11.2211 q^{79} -3.02538 q^{80} +(-11.9539 + 5.75669i) q^{81} +(-1.29087 - 1.61870i) q^{82} +(-1.69664 - 7.43348i) q^{83} +(8.12189 + 0.442326i) q^{84} +(-0.432885 + 1.89659i) q^{85} +(1.22221 - 0.588587i) q^{86} +(2.91744 - 12.7821i) q^{87} +(-1.88629 - 2.36534i) q^{88} +(-0.265089 - 1.16143i) q^{89} +(12.1695 - 15.2601i) q^{90} +(4.20787 - 4.72468i) q^{91} +(-5.85889 - 7.34682i) q^{92} +(4.81265 - 6.03488i) q^{93} +(0.955254 + 0.460026i) q^{94} +(-1.18704 + 1.48850i) q^{95} +(-0.684104 + 2.99726i) q^{96} +16.3992 q^{97} +(6.59932 - 2.33431i) q^{98} +19.5184 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 18 q + 3 q^{2} - 5 q^{3} - 3 q^{4} + 5 q^{6} - q^{7} + 3 q^{8} - 10 q^{9}+O(q^{10}) $ 18 * q + 3 * q^2 - 5 * q^3 - 3 * q^4 + 5 * q^6 - q^7 + 3 * q^8 - 10 * q^9	\( 18 q + 3 q^{2} - 5 q^{3} - 3 q^{4} + 5 q^{6} - q^{7} + 3 q^{8} - 10 q^{9} + 7 q^{11} + 2 q^{12} - 10 q^{13} + q^{14} + 7 q^{15} - 3 q^{16} + q^{17} - 32 q^{18} - 44 q^{19} + 7 q^{20} - 5 q^{21} + 7 q^{22} + 21 q^{23} - 2 q^{24} + q^{25} + 3 q^{26} + 10 q^{27} - 8 q^{28} + 11 q^{29} - 24 q^{31} + 3 q^{32} - 14 q^{33} - q^{34} - 21 q^{35} - 10 q^{36} - 13 q^{37} - 19 q^{38} - 3 q^{39} + 7 q^{40} + 8 q^{41} + 61 q^{42} - 24 q^{43} + 98 q^{45} + 21 q^{46} + 40 q^{47} + 2 q^{48} - 43 q^{49} - 50 q^{50} + 36 q^{51} + 18 q^{52} + 10 q^{53} + 4 q^{54} + 49 q^{55} + q^{56} + 19 q^{57} + 24 q^{58} + 13 q^{59} + 7 q^{60} + 27 q^{61} - 11 q^{62} + 41 q^{63} - 3 q^{64} - 21 q^{66} - 86 q^{67} - 34 q^{68} - 91 q^{69} - 14 q^{70} + 3 q^{72} + 5 q^{73} + 13 q^{74} - 3 q^{75} - 2 q^{76} - 14 q^{77} + 38 q^{78} - 66 q^{79} - 2 q^{81} - 8 q^{82} + 55 q^{83} + 23 q^{84} - 49 q^{85} - 18 q^{86} - 110 q^{87} + 62 q^{89} + 21 q^{90} + 39 q^{91} - 21 q^{92} + 46 q^{93} + 23 q^{94} - 7 q^{95} - 2 q^{96} - 32 q^{97} - 48 q^{98} + 14 q^{99}+O(q^{100}) \) 18 * q + 3 * q^2 - 5 * q^3 - 3 * q^4 + 5 * q^6 - q^7 + 3 * q^8 - 10 * q^9 + 7 * q^11 + 2 * q^12 - 10 * q^13 + q^14 + 7 * q^15 - 3 * q^16 + q^17 - 32 * q^18 - 44 * q^19 + 7 * q^20 - 5 * q^21 + 7 * q^22 + 21 * q^23 - 2 * q^24 + q^25 + 3 * q^26 + 10 * q^27 - 8 * q^28 + 11 * q^29 - 24 * q^31 + 3 * q^32 - 14 * q^33 - q^34 - 21 * q^35 - 10 * q^36 - 13 * q^37 - 19 * q^38 - 3 * q^39 + 7 * q^40 + 8 * q^41 + 61 * q^42 - 24 * q^43 + 98 * q^45 + 21 * q^46 + 40 * q^47 + 2 * q^48 - 43 * q^49 - 50 * q^50 + 36 * q^51 + 18 * q^52 + 10 * q^53 + 4 * q^54 + 49 * q^55 + q^56 + 19 * q^57 + 24 * q^58 + 13 * q^59 + 7 * q^60 + 27 * q^61 - 11 * q^62 + 41 * q^63 - 3 * q^64 - 21 * q^66 - 86 * q^67 - 34 * q^68 - 91 * q^69 - 14 * q^70 + 3 * q^72 + 5 * q^73 + 13 * q^74 - 3 * q^75 - 2 * q^76 - 14 * q^77 + 38 * q^78 - 66 * q^79 - 2 * q^81 - 8 * q^82 + 55 * q^83 + 23 * q^84 - 49 * q^85 - 18 * q^86 - 110 * q^87 + 62 * q^89 + 21 * q^90 + 39 * q^91 - 21 * q^92 + 46 * q^93 + 23 * q^94 - 7 * q^95 - 2 * q^96 - 32 * q^97 - 48 * q^98 + 14 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/98\mathbb{Z}\right)^\times$.

$n$	$3$
$\chi(n)$	$e\left(\frac{5}{7}\right)$

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 $

$2$	0.222521	−	0.974928i	0.157346	−	0.689378i
$2$	0.222521	−	0.974928i	0.157346	−	0.689378i
$3$	−1.91682	+	2.40361i	−1.10668	+	1.38773i	−0.193040	+	0.981191i	$0.561835\pi$
$3$	−1.91682	+	2.40361i	−1.10668	+	1.38773i	−0.913635	+	0.406536i	$0.866737\pi$
$4$	−0.900969	−	0.433884i	−0.450484	−	0.216942i
$5$	−1.88629	+	2.36534i	−0.843576	+	1.05781i	0.153989	+	0.988073i	$0.450788\pi$
$5$	−1.88629	+	2.36534i	−0.843576	+	1.05781i	−0.997565	+	0.0697386i	$0.977783\pi$
$6$	1.91682	+	2.40361i	0.782538	+	0.981271i
$7$	2.31779	+	1.27588i	0.876041	+	0.482237i
$7$	2.31779	+	1.27588i	0.876041	+	0.482237i
$8$	−0.623490	+	0.781831i	−0.220437	+	0.276419i
$9$	−1.43560	−	6.28979i	−0.478535	−	2.09660i
$10$	1.88629	+	2.36534i	0.596498	+	0.747985i
$11$	−0.673210	+	2.94953i	−0.202981	+	0.889316i	0.766129	+	0.642687i	$0.222180\pi$
$11$	−0.673210	+	2.94953i	−0.202981	+	0.889316i	−0.969110	+	0.246630i	$0.920677\pi$
$12$	2.76988	−	1.33390i	0.799596	−	0.385065i
$13$	0.532118	−	2.33136i	0.147583	−	0.646603i	−0.845970	−	0.533231i	$-0.820978\pi$
$13$	0.532118	−	2.33136i	0.147583	−	0.646603i	0.993553	−	0.113372i	$-0.0361653\pi$
$14$	1.75965	−	1.97577i	0.470285	−	0.528045i
$15$	−2.06968	−	9.06784i	−0.534388	−	2.34131i
$16$	0.623490	+	0.781831i	0.155872	+	0.195458i
$17$	0.579338	−	0.278994i	0.140510	−	0.0676661i	−0.362308	−	0.932059i	$-0.618011\pi$
$17$	0.579338	−	0.278994i	0.140510	−	0.0676661i	0.502818	+	0.864393i	$0.332297\pi$
$18$	−6.45155			−1.52064
$19$	0.629295			0.144370			0.0721851	−	0.997391i	$-0.477003\pi$
$19$	0.629295			0.144370			0.0721851	+	0.997391i	$0.477003\pi$
$20$	2.72577	−	1.31266i	0.609501	−	0.293520i
$21$	−7.50949	+	3.12544i	−1.63871	+	0.682026i
$22$	2.72577	+	1.31266i	0.581137	+	0.279861i
$23$	8.46635	+	4.07718i	1.76536	+	0.850150i	0.969662	+	0.244451i	$0.0786078\pi$
$23$	8.46635	+	4.07718i	1.76536	+	0.850150i	0.795694	+	0.605699i	$0.207107\pi$
$24$	−0.684104	−	2.99726i	−0.139642	−	0.611812i
$25$	−0.924113	−	4.04880i	−0.184823	−	0.809761i
$26$	−2.15450	−	1.03755i	−0.422533	−	0.203481i
$27$	9.56038	+	4.60404i	1.83990	+	0.886047i
$28$	−1.53467	−	2.15518i	−0.290025	−	0.407290i
$29$	−3.84228	+	1.85034i	−0.713493	+	0.343600i	−0.755168	−	0.655531i	$-0.772445\pi$
$29$	−3.84228	+	1.85034i	−0.713493	+	0.343600i	0.0416749	+	0.999131i	$0.486731\pi$
$30$	−9.30104			−1.69813
$31$	−2.51075			−0.450944			−0.225472	−	0.974250i	$-0.572392\pi$
$31$	−2.51075			−0.450944			−0.225472	+	0.974250i	$0.572392\pi$
$32$	0.900969	−	0.433884i	0.159270	−	0.0767005i
$33$	−5.79910	−	7.27184i	−1.00949	−	1.26587i
$34$	−0.143085	−	0.626894i	−0.0245388	−	0.107512i
$35$	−7.38991	+	3.07567i	−1.24912	+	0.519883i
$36$	−1.43560	+	6.28979i	−0.239267	+	1.04830i
$37$	5.78775	−	2.78724i	0.951501	−	0.458219i	0.107289	−	0.994228i	$-0.465783\pi$
$37$	5.78775	−	2.78724i	0.951501	−	0.458219i	0.844212	+	0.536009i	$0.180069\pi$
$38$	0.140031	−	0.613517i	0.0227161	−	0.0995256i
$39$	4.58372	+	5.74780i	0.733982	+	0.920385i
$40$	−0.673210	−	2.94953i	−0.106444	−	0.466361i
$41$	1.29087	−	1.61870i	0.201600	−	0.252798i	−0.670747	−	0.741687i	$-0.734026\pi$
$41$	1.29087	−	1.61870i	0.201600	−	0.252798i	0.872346	+	0.488889i	$0.162598\pi$
$42$	1.37606	+	8.01669i	0.212330	+	1.23700i
$43$	0.845798	+	1.06060i	0.128983	+	0.161740i	0.842129	−	0.539276i	$-0.181302\pi$
$43$	0.845798	+	1.06060i	0.128983	+	0.161740i	−0.713146	+	0.701015i	$0.752730\pi$
$44$	1.88629	−	2.36534i	0.284369	−	0.356588i
$45$	17.5855	+	8.46871i	2.62149	+	1.26244i
$46$	5.85889	−	7.34682i	0.863847	−	1.08323i
$47$	−0.235928	+	1.03367i	−0.0344137	+	0.150776i	−0.989216	−	0.146467i	$-0.953210\pi$
$47$	−0.235928	+	1.03367i	−0.0344137	+	0.150776i	0.954802	+	0.297243i	$0.0960671\pi$
$48$	−3.07434			−0.443742
$49$	3.74427	+	5.91443i	0.534896	+	0.844918i
$50$	−4.15293			−0.587313
$51$	−0.439890	+	1.92728i	−0.0615969	+	0.269874i
$52$	−1.49096	+	1.86961i	−0.206759	+	0.259268i
$53$	−4.22215	−	2.03328i	−0.579957	−	0.279293i	0.120818	−	0.992675i	$-0.461448\pi$
$53$	−4.22215	−	2.03328i	−0.579957	−	0.279293i	−0.700775	+	0.713382i	$0.747162\pi$
$54$	6.61599	−	8.29618i	0.900322	−	1.12897i
$55$	−5.70676	−	7.15605i	−0.769499	−	0.964921i
$56$	−2.44264	+	1.01662i	−0.326411	+	0.135852i
$57$	−1.20624	+	1.51258i	−0.159771	+	0.200346i
$58$	0.948965	+	4.15769i	0.124605	+	0.545931i
$59$	1.96057	+	2.45848i	0.255245	+	0.320067i	0.892900	−	0.450255i	$-0.148667\pi$
$59$	1.96057	+	2.45848i	0.255245	+	0.320067i	−0.637655	+	0.770322i	$0.720095\pi$
$60$	−2.06968	+	9.06784i	−0.267194	+	1.17065i
$61$	4.86234	−	2.34158i	0.622559	−	0.299809i	−0.0958862	−	0.995392i	$-0.530568\pi$
$61$	4.86234	−	2.34158i	0.622559	−	0.299809i	0.718445	+	0.695584i	$0.244854\pi$
$62$	−0.558695	+	2.44780i	−0.0709543	+	0.310871i
$63$	4.69759	−	16.4101i	0.591840	−	2.06747i
$64$	−0.222521	−	0.974928i	−0.0278151	−	0.121866i
$65$	4.51073	+	5.65627i	0.559487	+	0.701574i
$66$	−8.37995	+	4.03557i	−1.03150	+	0.496744i
$67$	6.32287			0.772462			0.386231	−	0.922402i	$-0.373777\pi$
$67$	6.32287			0.772462			0.386231	+	0.922402i	$0.373777\pi$
$68$	−0.643016			−0.0779772
$69$	−26.0284	+	12.5346i	−3.13345	+	1.50899i
$70$	1.35414	+	7.88903i	0.161851	+	0.942919i
$71$	−12.7586	−	6.14419i	−1.51416	−	0.729182i	−0.521860	−	0.853031i	$-0.674762\pi$
$71$	−12.7586	−	6.14419i	−1.51416	−	0.729182i	−0.992301	+	0.123849i	$0.960476\pi$
$72$	5.81264	+	2.79922i	0.685027	+	0.329891i
$73$	−0.925455	−	4.05468i	−0.108316	−	0.474565i	−0.999770	−	0.0214527i	$-0.993171\pi$
$73$	−0.925455	−	4.05468i	−0.108316	−	0.474565i	0.891454	−	0.453112i	$-0.149686\pi$
$74$	−1.42946	−	6.26286i	−0.166171	−	0.728043i
$75$	11.5031	+	5.53961i	1.32827	+	0.639659i
$76$	−0.566975	−	0.273041i	−0.0650365	−	0.0313199i
$77$	−5.32360	+	5.97744i	−0.606680	+	0.681193i
$78$	6.62367	−	3.18979i	0.749982	−	0.361173i
$79$	−11.2211			−1.26247			−0.631236	−	0.775590i	$-0.717452\pi$
$79$	−11.2211			−1.26247			−0.631236	+	0.775590i	$0.717452\pi$
$80$	−3.02538			−0.338248
$81$	−11.9539	+	5.75669i	−1.32821	+	0.639632i
$82$	−1.29087	−	1.61870i	−0.142552	−	0.178755i
$83$	−1.69664	−	7.43348i	−0.186231	−	0.815930i	−0.978581	−	0.205864i	$-0.934000\pi$
$83$	−1.69664	−	7.43348i	−0.186231	−	0.815930i	0.792350	−	0.610067i	$-0.208857\pi$
$84$	8.12189	+	0.442326i	0.886171	+	0.0482617i
$85$	−0.432885	+	1.89659i	−0.0469530	+	0.205715i
$86$	1.22221	−	0.588587i	0.131795	−	0.0634690i
$87$	2.91744	−	12.7821i	0.312782	−	1.37039i
$88$	−1.88629	−	2.36534i	−0.201080	−	0.252146i
$89$	−0.265089	−	1.16143i	−0.0280994	−	0.123112i	0.958933	−	0.283633i	$-0.0915396\pi$
$89$	−0.265089	−	1.16143i	−0.0280994	−	0.123112i	−0.987032	+	0.160521i	$0.948683\pi$
$90$	12.1695	−	15.2601i	1.28278	−	1.60855i
$91$	4.20787	−	4.72468i	0.441105	−	0.495281i
$92$	−5.85889	−	7.34682i	−0.610832	−	0.765959i
$93$	4.81265	−	6.03488i	0.499049	−	0.625787i
$94$	0.955254	+	0.460026i	0.0985269	+	0.0474481i
$95$	−1.18704	+	1.48850i	−0.121787	+	0.152716i
$96$	−0.684104	+	2.99726i	−0.0698211	+	0.305906i
$97$	16.3992			1.66509			0.832543	−	0.553961i	$-0.186884\pi$
$97$	16.3992			1.66509			0.832543	+	0.553961i	$0.186884\pi$
$98$	6.59932	−	2.33431i	0.666632	−	0.235801i
$99$	19.5184			1.96167
$100$	−0.924113	+	4.04880i	−0.0924113	+	0.404880i
$101$	8.95938	−	11.2347i	0.891492	−	1.11790i	−0.100915	−	0.994895i	$-0.532177\pi$
$101$	8.95938	−	11.2347i	0.891492	−	1.11790i	0.992407	−	0.123000i	$-0.0392517\pi$
$102$	1.78108	+	0.857722i	0.176353	+	0.0849272i
$103$	−10.1830	+	12.7691i	−1.00336	+	1.25817i	−0.0374497	+	0.999299i	$0.511923\pi$
$103$	−10.1830	+	12.7691i	−1.00336	+	1.25817i	−0.965911	+	0.258876i	$0.916648\pi$
$104$	1.49096	+	1.86961i	0.146201	+	0.183330i
$105$	6.77240	−	23.6580i	0.660918	−	2.30878i
$106$	−2.92182	+	3.66385i	−0.283792	+	0.355864i
$107$	−3.71249	−	16.2655i	−0.358900	−	1.57244i	−0.755939	−	0.654642i	$-0.772820\pi$
$107$	−3.71249	−	16.2655i	−0.358900	−	1.57244i	0.397039	−	0.917802i	$-0.370038\pi$
$108$	−6.61599	−	8.29618i	−0.636624	−	0.798301i
$109$	−0.370529	+	1.62339i	−0.0354902	+	0.155493i	−0.989568	−	0.144066i	$-0.953982\pi$
$109$	−0.370529	+	1.62339i	−0.0354902	+	0.155493i	0.954078	+	0.299559i	$0.0968394\pi$
$110$	−8.24650	+	3.97131i	−0.786273	+	0.378649i
$111$	−4.39463	+	19.2541i	−0.417120	+	1.82752i
$112$	0.447594	+	2.60762i	0.0422937	+	0.246397i
$113$	2.05961	+	9.02372i	0.193751	+	0.848880i	0.974563	+	0.224114i	$0.0719487\pi$
$113$	2.05961	+	9.02372i	0.193751	+	0.848880i	−0.780812	+	0.624767i	$0.785194\pi$
$114$	1.20624	+	1.51258i	0.112975	+	0.141666i
$115$	−25.6139	+	12.3350i	−2.38851	+	1.15025i
$116$	4.26461			0.395959
$117$	−15.4277			−1.42629
$118$	2.83311	−	1.36435i	0.260809	−	0.125599i
$119$	1.69874	+	0.0925151i	0.155724	+	0.00848085i
$120$	8.37995	+	4.03557i	0.764981	+	0.368395i
$121$	1.66416	+	0.801415i	0.151287	+	0.0728559i
$122$	−1.20090	−	5.26148i	−0.108724	−	0.476352i
$123$	1.41636	+	6.20549i	0.127709	+	0.559530i
$124$	2.26211	+	1.08937i	0.203143	+	0.0978287i
$125$	−2.30893	−	1.11192i	−0.206517	−	0.0994533i
$126$	−14.9533	−	8.23139i	−1.33215	−	0.733310i
$127$	12.0689	−	5.81208i	1.07094	−	0.515739i	0.186532	−	0.982449i	$-0.440275\pi$
$127$	12.0689	−	5.81208i	1.07094	−	0.515739i	0.884410	+	0.466710i	$0.154561\pi$
$128$	−1.00000			−0.0883883
$129$	−4.17051			−0.367193
$130$	6.51819	−	3.13899i	0.571683	−	0.275308i
$131$	12.1193	+	15.1971i	1.05887	+	1.32778i	0.942364	+	0.334588i	$0.108597\pi$
$131$	12.1193	+	15.1971i	1.05887	+	1.32778i	0.116503	+	0.993190i	$0.462831\pi$
$132$	2.06968	+	9.06784i	0.180142	+	0.789254i
$133$	1.45857	+	0.802904i	0.126474	+	0.0696206i
$134$	1.40697	−	6.16435i	0.121544	−	0.532518i
$135$	−28.9238	+	13.9290i	−2.48936	+	1.19881i
$136$	−0.143085	+	0.626894i	−0.0122694	+	0.0537558i
$137$	4.91692	+	6.16562i	0.420081	+	0.526764i	0.946172	−	0.323663i	$-0.104915\pi$
$137$	4.91692	+	6.16562i	0.420081	+	0.526764i	−0.526092	+	0.850428i	$0.676343\pi$
$138$	6.42848	+	28.1650i	0.547229	+	2.39757i
$139$	−0.182803	+	0.229228i	−0.0155052	+	0.0194428i	−0.789524	−	0.613720i	$-0.789672\pi$
$139$	−0.182803	+	0.229228i	−0.0155052	+	0.0194428i	0.774018	+	0.633163i	$0.218244\pi$
$140$	7.99256	+	0.435282i	0.675495	+	0.0367880i
$141$	−2.03231	−	2.54844i	−0.171151	−	0.214617i
$142$	−8.82919	+	11.0715i	−0.740929	+	0.929096i
$143$	6.51819	+	3.13899i	0.545078	+	0.262496i
$144$	4.02247	−	5.04402i	0.335206	−	0.420335i
$145$	2.87098	−	12.5786i	0.238422	−	1.04459i
$146$	−4.15896			−0.344198
$147$	−21.3931	−	2.33710i	−1.76447	−	0.192761i
$148$	−6.42392			−0.528043
$149$	1.57842	−	6.91551i	0.129309	−	0.566540i	−0.868213	−	0.496191i	$-0.834732\pi$
$149$	1.57842	−	6.91551i	0.129309	−	0.566540i	0.997522	−	0.0703492i	$-0.0224114\pi$
$150$	7.96040	−	9.98203i	0.649964	−	0.815029i
$151$	−10.6287	−	5.11852i	−0.864953	−	0.416539i	−0.0518469	−	0.998655i	$-0.516511\pi$
$151$	−10.6287	−	5.11852i	−0.864953	−	0.416539i	−0.813106	+	0.582116i	$0.802225\pi$
$152$	−0.392359	+	0.492003i	−0.0318245	+	0.0399067i
$153$	−2.58652	−	3.24339i	−0.209107	−	0.262212i
$154$	4.64296	+	6.52023i	0.374141	+	0.525415i
$155$	4.73601	−	5.93877i	0.380406	−	0.477014i
$156$	−1.63591	−	7.16739i	−0.130978	−	0.573851i
$157$	−8.20330	−	10.2866i	−0.654695	−	0.820961i	0.338059	−	0.941125i	$-0.390230\pi$
$157$	−8.20330	−	10.2866i	−0.654695	−	0.820961i	−0.992754	+	0.120164i	$0.961658\pi$
$158$	−2.49693	+	10.9398i	−0.198645	+	0.870321i
$159$	12.9803	−	6.25099i	1.02941	−	0.495736i
$160$	−0.673210	+	2.94953i	−0.0532220	+	0.233181i
$161$	14.4212	+	20.2521i	1.13655	+	1.59609i
$162$	2.95237	+	12.9352i	0.231960	+	1.01628i
$163$	8.36144	+	10.4849i	0.654918	+	0.821241i	0.992779	−	0.119954i	$-0.0382749\pi$
$163$	8.36144	+	10.4849i	0.654918	+	0.821241i	−0.337861	+	0.941196i	$0.609703\pi$
$164$	−1.86536	+	0.898309i	−0.145660	+	0.0701461i
$165$	28.1392			2.19063
$166$	−7.62465			−0.591787
$167$	8.54332	−	4.11425i	0.661102	−	0.318370i	−0.0730766	−	0.997326i	$-0.523282\pi$
$167$	8.54332	−	4.11425i	0.661102	−	0.318370i	0.734179	+	0.678956i	$0.237567\pi$
$168$	2.23853	−	7.81984i	0.172706	−	0.603313i
$169$	6.56050	+	3.15937i	0.504654	+	0.243028i
$170$	1.75272	+	0.844064i	0.134427	+	0.0647367i
$171$	−0.903419	−	3.95814i	−0.0690861	−	0.302686i
$172$	−0.301862	−	1.32254i	−0.0230168	−	0.100843i
$173$	0.948259	+	0.456658i	0.0720948	+	0.0347190i	0.469584	−	0.882888i	$-0.344404\pi$
$173$	0.948259	+	0.456658i	0.0720948	+	0.0347190i	−0.397489	+	0.917607i	$0.630118\pi$
$174$	−11.8125	−	5.68858i	−0.895500	−	0.431250i
$175$	3.02388	−	10.5633i	0.228584	−	0.798512i
$176$	−2.72577	+	1.31266i	−0.205463	+	0.0989457i
$177$	−9.66730			−0.726639
$178$	−1.19130			−0.0892917
$179$	9.18269	−	4.42215i	0.686347	−	0.330527i	−0.0580037	−	0.998316i	$-0.518474\pi$
$179$	9.18269	−	4.42215i	0.686347	−	0.330527i	0.744350	+	0.667789i	$0.232759\pi$
$180$	−12.1695	−	15.2601i	−0.907062	−	1.13742i
$181$	−3.08835	−	13.5309i	−0.229555	−	1.00575i	−0.950004	−	0.312238i	$-0.898921\pi$
$181$	−3.08835	−	13.5309i	−0.229555	−	1.00575i	0.720449	−	0.693508i	$-0.243936\pi$
$182$	−3.66988	−	5.15371i	−0.272030	−	0.382018i
$183$	−3.69197	+	16.1756i	−0.272918	+	1.19573i
$184$	−8.46635	+	4.07718i	−0.624147	+	0.300574i
$185$	−4.32465	+	18.9475i	−0.317955	+	1.39305i
$186$	−4.81265	−	6.03488i	−0.352881	−	0.442499i
$187$	0.432885	+	1.89659i	0.0316557	+	0.138693i
$188$	0.661056	−	0.828938i	0.0482125	−	0.0604565i
$189$	16.2847	+	22.8690i	1.18454	+	1.66348i
$190$	1.18704	+	1.48850i	0.0861166	+	0.107987i
$191$	4.19109	−	5.25546i	0.303257	−	0.380272i	−0.606731	−	0.794907i	$-0.707519\pi$
$191$	4.19109	−	5.25546i	0.303257	−	0.380272i	0.909988	+	0.414635i	$0.136091\pi$
$192$	2.76988	+	1.33390i	0.199899	+	0.0962663i
$193$	−1.44686	+	1.81431i	−0.104147	+	0.130597i	−0.831174	−	0.556013i	$-0.812330\pi$
$193$	−1.44686	+	1.81431i	−0.104147	+	0.130597i	0.727026	+	0.686610i	$0.240902\pi$
$194$	3.64916	−	15.9880i	0.261995	−	1.14787i
$195$	−22.2417			−1.59276
$196$	−0.807296	−	6.95329i	−0.0576640	−	0.496664i
$197$	8.72306			0.621492			0.310746	−	0.950493i	$-0.399421\pi$
$197$	8.72306			0.621492			0.310746	+	0.950493i	$0.399421\pi$
$198$	4.34325	−	19.0290i	0.308661	−	1.35233i
$199$	−6.65827	+	8.34921i	−0.471992	+	0.591860i	−0.959658	−	0.281171i	$-0.909277\pi$
$199$	−6.65827	+	8.34921i	−0.471992	+	0.591860i	0.487665	+	0.873031i	$0.337849\pi$
$200$	3.74166	+	1.80189i	0.264575	+	0.127413i
$201$	−12.1198	+	15.1977i	−0.854865	+	1.07197i
$202$	−8.95938	−	11.2347i	−0.630380	−	0.790472i
$203$	−11.2664	−	0.613578i	−0.790746	−	0.0430647i
$204$	1.23254	−	1.54556i	0.0862954	−	0.108211i
$205$	1.39381	+	6.10667i	0.0973478	+	0.426509i
$206$	10.1830	+	12.7691i	0.709483	+	0.889663i
$207$	13.4903	−	59.1048i	0.937639	−	4.10807i
$208$	2.15450	−	1.03755i	0.149388	−	0.0719414i
$209$	−0.423648	+	1.85612i	−0.0293043	+	0.128391i
$210$	−21.5578	−	11.8670i	−1.48763	−	0.818900i
$211$	3.16480	+	13.8659i	0.217874	+	0.954566i	0.959046	+	0.283251i	$0.0914131\pi$
$211$	3.16480	+	13.8659i	0.217874	+	0.954566i	−0.741172	+	0.671315i	$0.765730\pi$
$212$	2.92182	+	3.66385i	0.200671	+	0.251634i
$213$	39.2241	−	18.8893i	2.68759	−	1.29428i
$214$	−16.6838			−1.14048
$215$	−4.10410			−0.279897
$216$	−9.56038	+	4.60404i	−0.650501	+	0.313265i
$217$	−5.81939	−	3.20341i	−0.395046	−	0.217462i
$218$	1.50024	+	0.722477i	0.101609	+	0.0489323i
$219$	11.5198	+	5.54765i	0.778437	+	0.374876i
$220$	2.03672	+	8.92344i	0.137315	+	0.601618i
$221$	−0.342161	−	1.49910i	−0.0230162	−	0.100841i
$222$	17.7935	+	8.56890i	1.19422	+	0.575107i
$223$	8.73560	+	4.20684i	0.584979	+	0.281711i	0.702873	−	0.711315i	$-0.251900\pi$
$223$	8.73560	+	4.20684i	0.584979	+	0.281711i	−0.117894	+	0.993026i	$0.537614\pi$
$224$	2.64184	+	0.143877i	0.176515	+	0.00961317i
$225$	−24.1395	+	11.6250i	−1.60930	+	0.774997i
$226$	9.25578			0.615686
$227$	−6.19599			−0.411242			−0.205621	−	0.978632i	$-0.565921\pi$
$227$	−6.19599			−0.411242			−0.205621	+	0.978632i	$0.565921\pi$
$228$	1.74307	−	0.839420i	0.115438	−	0.0555919i
$229$	0.341248	+	0.427912i	0.0225503	+	0.0282772i	0.792979	−	0.609249i	$-0.208529\pi$
$229$	0.341248	+	0.427912i	0.0225503	+	0.0282772i	−0.770428	+	0.637526i	$0.779958\pi$
$230$	6.32612	+	27.7165i	0.417132	+	1.82757i
$231$	−4.16309	−	24.2535i	−0.273911	−	1.59577i
$232$	0.948965	−	4.15769i	0.0623026	−	0.272965i
$233$	−6.10655	+	2.94076i	−0.400053	+	0.192656i	−0.623082	−	0.782156i	$-0.714120\pi$
$233$	−6.10655	+	2.94076i	−0.400053	+	0.192656i	0.223029	+	0.974812i	$0.428406\pi$
$234$	−3.43299	+	15.0409i	−0.224421	+	0.983254i
$235$	−1.99995	−	2.50785i	−0.130462	−	0.163594i
$236$	−0.699721	−	3.06568i	−0.0455479	−	0.199559i
$237$	21.5088	−	26.9712i	1.39715	−	1.75197i
$238$	0.468202	−	1.63557i	0.0303490	−	0.106018i
$239$	−4.24070	−	5.31767i	−0.274308	−	0.343971i	0.625526	−	0.780203i	$-0.284884\pi$
$239$	−4.24070	−	5.31767i	−0.274308	−	0.343971i	−0.899834	+	0.436232i	$0.856313\pi$
$240$	5.79910	−	7.27184i	0.374330	−	0.469396i
$241$	−23.4832	−	11.3089i	−1.51269	−	0.728471i	−0.520572	−	0.853818i	$-0.674281\pi$
$241$	−23.4832	−	11.3089i	−1.51269	−	0.728471i	−0.992113	+	0.125347i	$0.959996\pi$
$242$	1.15163	−	1.44410i	0.0740297	−	0.0928303i
$243$	1.99292	−	8.73154i	0.127846	−	0.560129i
$244$	−5.39679			−0.345494
$245$	−21.0524	−	2.29989i	−1.34499	−	0.146934i
$246$	6.36508			0.405822
$247$	0.334859	−	1.46711i	0.0213066	−	0.0933502i
$248$	1.56543	−	1.96298i	0.0994048	−	0.124650i
$249$	21.1194	+	10.1706i	1.33839	+	0.644533i
$250$	−1.59783	+	2.00361i	−0.101056	+	0.126720i
$251$	−16.3304	−	20.4777i	−1.03077	−	1.29254i	−0.955378	−	0.295386i	$-0.904552\pi$
$251$	−16.3304	−	20.4777i	−1.03077	−	1.29254i	−0.0753889	−	0.997154i	$-0.524020\pi$
$252$	−11.3524	+	12.7467i	−0.715136	+	0.802969i
$253$	−17.7254	+	22.2269i	−1.11439	+	1.39739i
$254$	−2.98077	−	13.0596i	−0.187030	−	0.819434i
$255$	−3.72892	−	4.67591i	−0.233514	−	0.292817i
$256$	−0.222521	+	0.974928i	−0.0139076	+	0.0609330i
$257$	−12.0796	+	5.81722i	−0.753504	+	0.362868i	−0.770880	−	0.636981i	$-0.780183\pi$
$257$	−12.0796	+	5.81722i	−0.753504	+	0.362868i	0.0173758	+	0.999849i	$0.494469\pi$
$258$	−0.928025	+	4.06594i	−0.0577763	+	0.253135i
$259$	16.9710	+	0.924253i	1.05452	+	0.0574303i
$260$	−1.60986	−	7.05326i	−0.0998393	−	0.437424i
$261$	17.1543	+	21.5108i	1.06182	+	1.33148i
$262$	17.5129	−	8.43376i	1.08195	−	0.521040i
$263$	−10.5626			−0.651320			−0.325660	−	0.945487i	$-0.605586\pi$
$263$	−10.5626			−0.651320			−0.325660	+	0.945487i	$0.605586\pi$
$264$	9.30104			0.572439
$265$	12.7736	−	6.15145i	0.784677	−	0.377880i
$266$	1.10734	−	1.24334i	0.0678951	−	0.0762340i
$267$	3.29976	+	1.58908i	0.201942	+	0.0972502i
$268$	−5.69671	−	2.74339i	−0.347982	−	0.167579i
$269$	2.65240	+	11.6209i	0.161720	+	0.708540i	0.989142	+	0.146960i	$0.0469489\pi$
$269$	2.65240	+	11.6209i	0.161720	+	0.708540i	−0.827423	+	0.561579i	$0.810194\pi$
$270$	7.14358	+	31.2981i	0.434745	+	1.90474i
$271$	−22.4071	−	10.7907i	−1.36114	−	0.655489i	−0.396246	−	0.918144i	$-0.629687\pi$
$271$	−22.4071	−	10.7907i	−1.36114	−	0.655489i	−0.964890	+	0.262656i	$0.915402\pi$
$272$	0.579338	+	0.278994i	0.0351275	+	0.0169165i
$273$	3.29059	+	19.1704i	0.199155	+	1.16025i
$274$	7.10515	−	3.42166i	0.429238	−	0.206710i
$275$	12.5642			0.757649
$276$	28.8893			1.73893
$277$	−25.0286	+	12.0531i	−1.50382	+	0.724202i	−0.990946	−	0.134262i	$-0.957134\pi$
$277$	−25.0286	+	12.0531i	−1.50382	+	0.724202i	−0.512875	+	0.858464i	$0.671419\pi$
$278$	0.182803	+	0.229228i	0.0109638	+	0.0137482i
$279$	3.60445	+	15.7921i	0.215793	+	0.945449i
$280$	2.20288	−	7.69531i	0.131647	−	0.459883i
$281$	6.94033	−	30.4076i	0.414025	−	1.81396i	−0.150574	−	0.988599i	$-0.548112\pi$
$281$	6.94033	−	30.4076i	0.414025	−	1.81396i	0.564600	−	0.825365i	$-0.309031\pi$
$282$	−2.93677	+	1.41427i	−0.174882	+	0.0842188i
$283$	4.22408	−	18.5069i	0.251096	−	1.10012i	−0.679385	−	0.733782i	$-0.737754\pi$
$283$	4.22408	−	18.5069i	0.251096	−	1.10012i	0.930481	−	0.366340i	$-0.119389\pi$
$284$	8.82919	+	11.0715i	0.523916	+	0.656970i
$285$	−1.30244	−	5.70635i	−0.0771497	−	0.338015i
$286$	4.51073	−	5.65627i	0.266725	−	0.334462i
$287$	5.05721	−	2.10480i	0.298518	−	0.124243i
$288$	−4.02247	−	5.04402i	−0.237027	−	0.297222i
$289$	−10.3415	+	12.9679i	−0.608325	+	0.762816i
$290$	−11.6244	−	5.59800i	−0.682606	−	0.328726i
$291$	−31.4343	+	39.4173i	−1.84271	+	2.31068i
$292$	−0.925455	+	4.05468i	−0.0541582	+	0.237282i
$293$	19.6220			1.14633			0.573163	−	0.819441i	$-0.305716\pi$
$293$	19.6220			1.14633			0.573163	+	0.819441i	$0.305716\pi$
$294$	−7.03892	+	20.3367i	−0.410518	+	1.18606i
$295$	−9.51336			−0.553889
$296$	−1.42946	+	6.26286i	−0.0830855	+	0.364021i
$297$	−20.0159	+	25.0991i	−1.16144	+	1.45640i
$298$	−6.39089	−	3.07769i	−0.370214	−	0.178286i
$299$	14.0105	−	17.5686i	0.810247	−	1.01602i
$300$	−7.96040	−	9.98203i	−0.459594	−	0.576313i
$301$	0.607187	+	3.53737i	0.0349977	+	0.203891i
$302$	−7.35530	+	9.22326i	−0.423250	+	0.530739i
$303$	9.83040	+	43.0698i	0.564742	+	2.47429i
$304$	0.392359	+	0.492003i	0.0225033	+	0.0282183i
$305$	−3.63318	+	15.9180i	−0.208035	+	0.911461i
$306$	−3.73762	+	1.79994i	−0.213666	+	0.102896i
$307$	−4.68518	+	20.5271i	−0.267397	+	1.17154i	0.645632	+	0.763649i	$0.276594\pi$
$307$	−4.68518	+	20.5271i	−0.267397	+	1.17154i	−0.913029	+	0.407895i	$0.866263\pi$
$308$	7.38991	−	3.07567i	0.421079	−	0.175252i
$309$	−11.1730	−	48.9520i	−0.635608	−	2.78478i
$310$	−4.73601	−	5.93877i	−0.268988	−	0.337300i
$311$	10.6094	−	5.10920i	0.601602	−	0.289716i	−0.108187	−	0.994131i	$-0.534504\pi$
$311$	10.6094	−	5.10920i	0.601602	−	0.289716i	0.709789	+	0.704414i	$0.248790\pi$
$312$	−7.35171			−0.416209
$313$	21.4522			1.21255			0.606275	−	0.795255i	$-0.292663\pi$
$313$	21.4522			1.21255			0.606275	+	0.795255i	$0.292663\pi$
$314$	−11.8541	+	5.70864i	−0.668966	+	0.322157i
$315$	29.9543	+	42.0656i	1.68773	+	2.37013i
$316$	10.1099	+	4.86865i	0.568724	+	0.273883i
$317$	−26.7438	−	12.8791i	−1.50208	−	0.723363i	−0.511370	−	0.859360i	$-0.670862\pi$
$317$	−26.7438	−	12.8791i	−1.50208	−	0.723363i	−0.990709	+	0.135997i	$0.956576\pi$
$318$	−3.20587	−	14.0458i	−0.179776	−	0.787652i
$319$	−2.87098	−	12.5786i	−0.160744	−	0.704265i
$320$	2.72577	+	1.31266i	0.152375	+	0.0733801i
$321$	46.2121	+	22.2546i	2.57931	+	1.24213i
$322$	22.9533	−	9.55313i	1.27914	−	0.532375i
$323$	0.364574	−	0.175570i	0.0202855	−	0.00976896i
$324$	13.2678			0.737101
$325$	−9.93096			−0.550871
$326$	12.0826	−	5.81869i	0.669195	−	0.322267i
$327$	−3.19177	−	4.00235i	−0.176505	−	0.221331i
$328$	0.460705	+	2.01848i	0.0254382	+	0.111452i
$329$	−1.86567	+	2.09481i	−0.102858	+	0.115491i
$330$	6.26156	−	27.4337i	0.344687	−	1.51017i
$331$	0.739639	−	0.356191i	0.0406542	−	0.0195780i	−0.413446	−	0.910529i	$-0.635675\pi$
$331$	0.739639	−	0.356191i	0.0406542	−	0.0195780i	0.454100	+	0.890951i	$0.349961\pi$
$332$	−1.69664	+	7.43348i	−0.0931154	+	0.407965i
$333$	−25.8401	−	32.4024i	−1.41603	−	1.77564i
$334$	−2.11003	−	9.24463i	−0.115455	−	0.505844i
$335$	−11.9268	+	14.9557i	−0.651631	+	0.817119i
$336$	−7.12566	−	3.92248i	−0.388736	−	0.213989i
$337$	2.24830	+	2.81928i	0.122473	+	0.153576i	0.839288	−	0.543687i	$-0.182972\pi$
$337$	2.24830	+	2.81928i	0.122473	+	0.153576i	−0.716815	+	0.697263i	$0.754401\pi$
$338$	4.54001	−	5.69299i	0.246944	−	0.309658i
$339$	−25.6374	−	12.3463i	−1.39243	−	0.670561i
$340$	1.21292	−	1.52095i	0.0657797	−	0.0824851i
$341$	1.69026	−	7.40553i	0.0915329	−	0.401032i
$342$	−4.05993			−0.219536
$343$	1.13233	+	18.4856i	0.0611399	+	0.998129i
$344$	−1.35656			−0.0731406
$345$	19.4486	−	85.2099i	1.04708	−	4.58755i
$346$	0.656216	−	0.822869i	0.0352784	−	0.0442377i
$347$	14.9046	+	7.17767i	0.800120	+	0.385317i	0.788824	−	0.614619i	$-0.210690\pi$
$347$	14.9046	+	7.17767i	0.800120	+	0.385317i	0.0112956	+	0.999936i	$0.496404\pi$
$348$	−8.17448	+	10.2505i	−0.438198	+	0.549483i
$349$	1.47185	+	1.84565i	0.0787865	+	0.0987951i	0.819663	−	0.572847i	$-0.194161\pi$
$349$	1.47185	+	1.84565i	0.0787865	+	0.0987951i	−0.740876	+	0.671642i	$0.765589\pi$
$350$	−9.62560	−	5.29863i	−0.514510	−	0.283224i
$351$	15.8209	−	19.8388i	0.844458	−	1.05892i
$352$	0.673210	+	2.94953i	0.0358822	+	0.157210i
$353$	−2.36737	−	2.96859i	−0.126003	−	0.158002i	0.714829	−	0.699300i	$-0.246505\pi$
$353$	−2.36737	−	2.96859i	−0.126003	−	0.158002i	−0.840831	+	0.541297i	$0.817933\pi$
$354$	−2.15118	+	9.42492i	−0.114334	+	0.500929i
$355$	38.5995	−	18.5885i	2.04865	−	0.986577i
$356$	−0.265089	+	1.16143i	−0.0140497	+	0.0615558i
$357$	−3.47855	+	3.90579i	−0.184105	+	0.206716i
$358$	−2.26794	−	9.93649i	−0.119864	−	0.525160i
$359$	−17.4182	−	21.8418i	−0.919299	−	1.15276i	−0.987896	−	0.155120i	$-0.950424\pi$
$359$	−17.4182	−	21.8418i	−0.919299	−	1.15276i	0.0685967	−	0.997644i	$-0.478148\pi$
$360$	−17.5855	+	8.46871i	−0.926835	+	0.446340i
$361$	−18.6040			−0.979157
$362$	−13.8789			−0.729459
$363$	−5.11617	+	2.46382i	−0.268530	+	0.129317i
$364$	−5.84112	+	2.43106i	−0.306158	+	0.127422i
$365$	11.3364	+	5.45931i	0.593373	+	0.285753i
$366$	14.9485	+	7.19880i	0.781369	+	0.376287i
$367$	6.93948	+	30.4038i	0.362238	+	1.58707i	0.747501	+	0.664260i	$0.231253\pi$
$367$	6.93948	+	30.4038i	0.362238	+	1.58707i	−0.385264	+	0.922807i	$0.625890\pi$
$368$	2.09101	+	9.16134i	0.109002	+	0.477568i
$369$	−12.0344	−	5.79548i	−0.626488	−	0.301701i
$370$	17.5102	+	8.43245i	0.910310	+	0.438382i
$371$	−7.19183	−	10.0997i	−0.373381	−	0.524348i
$372$	−6.95448	+	3.34910i	−0.360573	+	0.173643i
$373$	−16.2454			−0.841155			−0.420578	−	0.907257i	$-0.638173\pi$
$373$	−16.2454			−0.841155			−0.420578	+	0.907257i	$0.638173\pi$
$374$	1.94537			0.100593
$375$	7.09843	−	3.41842i	0.366561	−	0.176527i
$376$	−0.661056	−	0.828938i	−0.0340914	−	0.0427492i
$377$	2.26928	+	9.94235i	0.116874	+	0.512057i
$378$	25.9194	−	10.7876i	1.33315	−	0.554854i
$379$	−6.55969	+	28.7399i	−0.336949	+	1.47627i	0.468426	+	0.883503i	$0.344821\pi$
$379$	−6.55969	+	28.7399i	−0.336949	+	1.47627i	−0.805375	+	0.592766i	$0.798036\pi$
$380$	1.71532	−	0.826052i	0.0879938	−	0.0423756i
$381$	−9.16390	+	40.1497i	−0.469481	+	2.05693i
$382$	−4.19109	−	5.25546i	−0.214435	−	0.268893i
$383$	3.73776	+	16.3762i	0.190991	+	0.836784i	0.976082	+	0.217404i	$0.0697589\pi$
$383$	3.73776	+	16.3762i	0.190991	+	0.836784i	−0.785091	+	0.619380i	$0.787384\pi$
$384$	1.91682	−	2.40361i	0.0978172	−	0.122659i
$385$	−4.09680	−	23.8673i	−0.208792	−	1.21639i
$386$	1.44686	+	1.81431i	0.0736433	+	0.0923458i
$387$	5.45671	−	6.84250i	0.277380	−	0.347824i
$388$	−14.7752	−	7.11534i	−0.750095	−	0.361227i
$389$	−7.22891	+	9.06477i	−0.366520	+	0.459602i	−0.930557	−	0.366148i	$-0.880676\pi$
$389$	−7.22891	+	9.06477i	−0.366520	+	0.459602i	0.564036	+	0.825750i	$0.309248\pi$
$390$	−4.94925	+	21.6841i	−0.250615	+	1.09802i
$391$	6.04238			0.305576
$392$	−6.95860	−	0.760198i	−0.351462	−	0.0383958i
$393$	−59.7585			−3.01442
$394$	1.94106	−	8.50435i	0.0977893	−	0.428443i
$395$	21.1663	−	26.5417i	1.06499	−	1.33546i
$396$	−17.5855	−	8.46871i	−0.883702	−	0.425569i
$397$	8.51285	−	10.6748i	0.427247	−	0.535751i	−0.520885	−	0.853627i	$-0.674398\pi$
$397$	8.51285	−	10.6748i	0.427247	−	0.535751i	0.948132	+	0.317875i	$0.102969\pi$
$398$	6.65827	+	8.34921i	0.333749	+	0.418508i
$399$	−4.72569	+	1.96682i	−0.236580	+	0.0984642i
$400$	2.58931	−	3.24689i	0.129465	−	0.162344i
$401$	−2.68854	−	11.7792i	−0.134259	−	0.588228i	−0.996636	−	0.0819601i	$-0.973882\pi$
$401$	−2.68854	−	11.7792i	−0.134259	−	0.588228i	0.862377	−	0.506267i	$-0.168975\pi$
$402$	12.1198	+	15.1977i	0.604481	+	0.757995i
$403$	−1.33602	+	5.85347i	−0.0665517	+	0.291582i
$404$	−12.9467	+	6.23479i	−0.644122	+	0.310193i
$405$	8.93203	−	39.1338i	0.443836	−	1.94457i
$406$	−3.10520	+	10.8474i	−0.154109	+	0.538347i
$407$	4.32465	+	18.9475i	0.214365	+	0.939195i
$408$	−1.23254	−	1.54556i	−0.0610201	−	0.0765167i
$409$	22.6745	−	10.9195i	1.12118	−	0.539933i	0.220924	−	0.975291i	$-0.429093\pi$
$409$	22.6745	−	10.9195i	1.12118	−	0.539933i	0.900257	+	0.435358i	$0.143378\pi$
$410$	6.26372			0.309343
$411$	−24.2446			−1.19590
$412$	14.7149	−	7.08630i	0.724949	−	0.349117i
$413$	1.40747	+	8.19969i	0.0692570	+	0.403480i
$414$	−54.6210	−	26.3041i	−2.68448	−	1.29278i
$415$	20.7831	+	10.0086i	1.02020	+	0.491303i
$416$	−0.532118	−	2.33136i	−0.0260892	−	0.114304i
$417$	−0.200575	−	0.878776i	−0.00982219	−	0.0430338i
$418$	1.71532	+	0.826052i	0.0838988	+	0.0404035i
$419$	−19.3992	−	9.34214i	−0.947711	−	0.456393i	−0.104828	−	0.994490i	$-0.533429\pi$
$419$	−19.3992	−	9.34214i	−0.947711	−	0.456393i	−0.842883	+	0.538097i	$0.819143\pi$
$420$	−16.3665	+	18.3767i	−0.798605	+	0.896690i
$421$	25.2231	−	12.1468i	1.22930	−	0.591998i	0.297411	−	0.954750i	$-0.403877\pi$
$421$	25.2231	−	12.1468i	1.22930	−	0.591998i	0.931886	+	0.362751i	$0.118163\pi$
$422$	14.2225			0.692339
$423$	6.84026			0.332585
$424$	4.22215	−	2.03328i	0.205046	−	0.0987448i
$425$	−1.66497	−	2.08780i	−0.0807628	−	0.101273i
$426$	−9.68755	−	42.4439i	−0.469363	−	2.05642i
$427$	14.2574	+	0.776473i	0.689966	+	0.0375761i
$428$	−3.71249	+	16.2655i	−0.179450	+	0.786222i
$429$	−20.0391	+	9.65033i	−0.967497	+	0.465922i
$430$	−0.913247	+	4.00120i	−0.0440407	+	0.192955i
$431$	−11.0229	−	13.8223i	−0.530956	−	0.665798i	0.441939	−	0.897045i	$-0.354291\pi$
$431$	−11.0229	−	13.8223i	−0.530956	−	0.665798i	−0.972895	+	0.231247i	$0.925719\pi$
$432$	2.36122	+	10.3452i	0.113604	+	0.497732i
$433$	−0.735843	+	0.922718i	−0.0353624	+	0.0443430i	−0.799198	−	0.601068i	$-0.794742\pi$
$433$	−0.735843	+	0.922718i	−0.0353624	+	0.0443430i	0.763836	+	0.645411i	$0.223314\pi$
$434$	−4.41803	+	4.96066i	−0.212072	+	0.238119i
$435$	24.7309	+	31.0116i	1.18576	+	1.48689i
$436$	1.03820	−	1.30186i	0.0497207	−	0.0623478i
$437$	5.32783	+	2.56575i	0.254865	+	0.122736i
$438$	7.97196	−	9.99653i	0.380915	−	0.477653i
$439$	4.75079	−	20.8146i	0.226743	−	0.993424i	−0.725534	−	0.688187i	$-0.758407\pi$
$439$	4.75079	−	20.8146i	0.226743	−	0.993424i	0.952276	−	0.305238i	$-0.0987359\pi$
$440$	9.15293			0.436349
$441$	31.8252	−	32.0415i	1.51549	−	1.52578i
$442$	−1.53766			−0.0731388
$443$	−1.91875	+	8.40661i	−0.0911627	+	0.399410i	−0.999836	−	0.0180974i	$-0.994239\pi$
$443$	−1.91875	+	8.40661i	−0.0911627	+	0.399410i	0.908673	+	0.417507i	$0.137096\pi$
$444$	12.3135	−	15.4406i	0.584372	−	0.732780i
$445$	3.24721	+	1.56378i	0.153933	+	0.0741301i
$446$	6.04522	−	7.58047i	0.286249	−	0.358946i
$447$	13.5967	+	17.0497i	0.643100	+	0.806422i
$448$	0.728133	−	2.54358i	0.0344011	−	0.120173i
$449$	10.4421	−	13.0940i	0.492794	−	0.617944i	−0.471793	−	0.881710i	$-0.656393\pi$
$449$	10.4421	−	13.0940i	0.492794	−	0.617944i	0.964587	+	0.263765i	$0.0849644\pi$
$450$	5.96196	+	26.1211i	0.281049	+	1.23136i
$451$	3.90536	+	4.89717i	0.183896	+	0.230599i
$452$	2.05961	−	9.02372i	0.0968757	−	0.424440i
$453$	32.6763	−	15.7361i	1.53526	−	0.739345i
$454$	−1.37874	+	6.04064i	−0.0647073	+	0.283501i
$455$	3.23819	+	18.8652i	0.151809	+	0.884413i
$456$	−0.430503	−	1.88616i	−0.0201602	−	0.0883275i
$457$	4.99775	+	6.26698i	0.233785	+	0.293157i	0.884861	−	0.465856i	$-0.154253\pi$
$457$	4.99775	+	6.26698i	0.233785	+	0.293157i	−0.651076	+	0.759013i	$0.725682\pi$
$458$	0.493118	−	0.237473i	0.0230419	−	0.0110964i
$459$	6.82319			0.318479
$460$	28.4293			1.32552
$461$	−16.3204	+	7.85951i	−0.760118	+	0.366054i	−0.773450	−	0.633857i	$-0.781471\pi$
$461$	−16.3204	+	7.85951i	−0.760118	+	0.366054i	0.0133316	+	0.999911i	$0.495756\pi$
$462$	−24.5718	−	1.33820i	−1.14318	−	0.0622589i
$463$	−4.79374	−	2.30855i	−0.222784	−	0.107287i	0.319163	−	0.947700i	$-0.396598\pi$
$463$	−4.79374	−	2.30855i	−0.222784	−	0.107287i	−0.541947	+	0.840413i	$0.682313\pi$
$464$	−3.84228	−	1.85034i	−0.178373	−	0.0859001i
$465$	5.19644	+	22.7671i	0.240979	+	1.05580i
$466$	1.50819	+	6.60783i	0.0698657	+	0.306102i
$467$	30.2327	+	14.5593i	1.39900	+	0.673724i	0.972959	−	0.230979i	$-0.0741928\pi$
$467$	30.2327	+	14.5593i	1.39900	+	0.673724i	0.426043	+	0.904703i	$0.359907\pi$
$468$	13.8999	+	6.69383i	0.642522	+	0.309422i
$469$	14.6551	+	8.06722i	0.676708	+	0.372510i
$470$	−2.89001	+	1.39175i	−0.133306	+	0.0641968i
$471$	40.4493			1.86380
$472$	−3.14452			−0.144738
$473$	−3.69766	+	1.78070i	−0.170019	+	0.0818767i
$474$	−21.5088	−	26.9712i	−0.987932	−	1.23883i
$475$	−0.581540	−	2.54789i	−0.0266829	−	0.116905i
$476$	−1.49037	−	0.820411i	−0.0683112	−	0.0376035i
$477$	−6.72758	+	29.4754i	−0.308035	+	1.34959i
$478$	−6.12799	+	2.95108i	−0.280288	+	0.134979i
$479$	3.72555	−	16.3227i	0.170225	−	0.745804i	−0.815681	−	0.578502i	$-0.803637\pi$
$479$	3.72555	−	16.3227i	0.170225	−	0.745804i	0.985906	−	0.167302i	$-0.0535054\pi$
$480$	−5.79910	−	7.27184i	−0.264692	−	0.331913i
$481$	−3.41829	−	14.9765i	−0.155860	−	0.682869i
$482$	−16.2509	+	20.3780i	−0.740207	+	0.928190i
$483$	−76.3209	−	4.15651i	−3.47272	−	0.189128i
$484$	−1.15163	−	1.44410i	−0.0523469	−	0.0656409i
$485$	−30.9337	+	38.7896i	−1.40463	+	1.76135i
$486$	−8.06916	−	3.88590i	−0.366024	−	0.176268i
$487$	16.6150	−	20.8346i	0.752899	−	0.944105i	−0.246789	−	0.969069i	$-0.579376\pi$
$487$	16.6150	−	20.8346i	0.752899	−	0.944105i	0.999688	+	0.0249638i	$0.00794704\pi$
$488$	−1.20090	+	5.26148i	−0.0543621	+	0.238176i
$489$	−41.2290			−1.86444
$490$	−6.92683	+	20.0128i	−0.312922	+	0.904087i
$491$	7.56655			0.341474			0.170737	−	0.985317i	$-0.445385\pi$
$491$	7.56655			0.341474			0.170737	+	0.985317i	$0.445385\pi$
$492$	1.41636	−	6.20549i	0.0638546	−	0.279765i
$493$	−1.70974	+	2.14395i	−0.0770029	+	0.0965586i
$494$	−1.35582	−	0.652927i	−0.0610011	−	0.0293766i
$495$	−36.8174	+	46.1676i	−1.65482	+	2.07508i
$496$	−1.56543	−	1.96298i	−0.0702898	−	0.0881406i
$497$	−21.7324	−	30.5193i	−0.974829	−	1.36898i
$498$	14.6151	−	18.3267i	0.654916	−	0.821239i
$499$	2.33363	+	10.2243i	0.104468	+	0.457702i	0.999921	+	0.0125476i	$0.00399412\pi$
$499$	2.33363	+	10.2243i	0.104468	+	0.457702i	−0.895454	+	0.445155i	$0.853149\pi$
$500$	1.59783	+	2.00361i	0.0714571	+	0.0896044i
$501$	−6.48693	+	28.4211i	−0.289815	+	1.26976i
$502$	−23.5981	+	11.3643i	−1.05324	+	0.507212i
$503$	0.109148	−	0.478210i	0.00486668	−	0.0213223i	−0.972436	−	0.233169i	$-0.925091\pi$
$503$	0.109148	−	0.478210i	0.00486668	−	0.0213223i	0.977303	+	0.211846i	$0.0679477\pi$
$504$	9.90100	+	13.9042i	0.441026	+	0.619343i
$505$	9.67386	+	42.3839i	0.430481	+	1.88606i
$506$	17.7254	+	22.2269i	0.787989	+	0.988107i
$507$	−20.1692	+	9.71296i	−0.895745	+	0.431368i
$508$	−13.3955			−0.594328
$509$	−15.9439			−0.706703			−0.353351	−	0.935491i	$-0.614958\pi$
$509$	−15.9439			−0.706703			−0.353351	+	0.935491i	$0.614958\pi$
$510$	−5.38844	+	2.59494i	−0.238604	+	0.114906i
$511$	3.02828	−	10.5787i	0.133963	−	0.467972i
$512$	0.900969	+	0.433884i	0.0398176	+	0.0191751i
$513$	6.01630	+	2.89730i	0.265626	+	0.127919i
$514$	2.98341	+	13.0712i	0.131593	+	0.576545i
$515$	−10.9950	−	48.1724i	−0.484500	−	2.12273i
$516$	3.75750	+	1.80952i	0.165415	+	0.0796595i
$517$	−2.89001	−	1.39175i	−0.127102	−	0.0612093i
$518$	4.67747	−	16.3398i	0.205516	−	0.717929i
$519$	−2.91527	+	1.40392i	−0.127966	+	0.0616252i
$520$	−7.23464			−0.317260
$521$	31.8495			1.39535			0.697677	−	0.716413i	$-0.254217\pi$
$521$	31.8495			1.39535			0.697677	+	0.716413i	$0.254217\pi$
$522$	24.7886	−	11.9376i	1.08497	−	0.522494i
$523$	−26.4558	−	33.1745i	−1.15683	−	1.45062i	−0.870282	−	0.492554i	$-0.836063\pi$
$523$	−26.4558	−	33.1745i	−1.15683	−	1.45062i	−0.286549	−	0.958066i	$-0.592508\pi$
$524$	−4.32533	−	18.9505i	−0.188953	−	0.827856i
$525$	19.5939	+	27.5162i	0.855148	+	1.20091i
$526$	−2.35041	+	10.2978i	−0.102483	+	0.449006i
$527$	−1.45457	+	0.700485i	−0.0633622	+	0.0305136i
$528$	2.06968	−	9.06784i	0.0900711	−	0.394627i
$529$	40.7154	+	51.0555i	1.77023	+	2.21980i
$530$	−3.15482	−	13.8222i	−0.137037	−	0.600397i
$531$	12.6487	−	15.8610i	0.548908	−	0.688309i
$532$	−0.965761	−	1.35624i	−0.0418710	−	0.0588005i
$533$	−3.08687	−	3.87082i	−0.133707	−	0.167664i
$534$	2.28351	−	2.86342i	0.0988169	−	0.123913i
$535$	45.4762	+	21.9002i	1.96611	+	0.946827i
$536$	−3.94225	+	4.94342i	−0.170279	+	0.213523i
$537$	−6.97241	+	30.5481i	−0.300881	+	1.31825i
$538$	11.9198			0.513898
$539$	−19.9654	+	7.06217i	−0.859973	+	0.304189i
$540$	32.1030			1.38149
$541$	−1.45562	+	6.37750i	−0.0625821	+	0.274190i	−0.996532	−	0.0832148i	$-0.973481\pi$
$541$	−1.45562	+	6.37750i	−0.0625821	+	0.274190i	0.933950	+	0.357405i	$0.116338\pi$
$542$	−15.5062	+	19.4442i	−0.666049	+	0.835199i
$543$	38.4429	+	18.5131i	1.64974	+	0.794475i
$544$	0.400914	−	0.502730i	0.0171890	−	0.0215544i
$545$	−3.14094	−	3.93862i	−0.134543	−	0.168712i
$546$	19.4220	+	1.05774i	0.831186	+	0.0452671i
$547$	11.3933	−	14.2867i	0.487141	−	0.610856i	−0.476134	−	0.879373i	$-0.657962\pi$
$547$	11.3933	−	14.2867i	0.487141	−	0.610856i	0.963275	+	0.268517i	$0.0865336\pi$
$548$	−1.75483	−	7.68840i	−0.0749625	−	0.328432i
$549$	−21.7084	−	27.2215i	−0.926494	−	1.16179i
$550$	2.79579	−	12.2492i	0.119213	−	0.522306i
$551$	−2.41793	+	1.16441i	−0.103007	+	0.0496056i
$552$	6.42848	−	28.1650i	0.273614	−	1.19878i
$553$	−26.0081	−	14.3168i	−1.10598	−	0.608811i
$554$	6.18154	+	27.0831i	0.262629	+	1.15065i
$555$	−37.2530	−	46.7138i	−1.58130	−	1.98289i
$556$	0.264158	−	0.127212i	0.0112028	−	0.00539498i
$557$	−36.4469			−1.54431			−0.772153	−	0.635436i	$-0.780820\pi$
$557$	−36.4469			−1.54431			−0.772153	+	0.635436i	$0.780820\pi$
$558$	16.1982			0.685726
$559$	2.92270	−	1.40750i	0.123617	−	0.0595309i
$560$	−7.01219	−	3.86002i	−0.296319	−	0.163116i
$561$	−5.38844	−	2.59494i	−0.227500	−	0.109558i
$562$	−28.1008	−	13.5326i	−1.18536	−	0.570840i
$563$	−1.36966	−	6.00086i	−0.0577242	−	0.252906i	0.937830	−	0.347094i	$-0.112832\pi$
$563$	−1.36966	−	6.00086i	−0.0577242	−	0.252906i	−0.995554	+	0.0941881i	$0.969974\pi$
$564$	0.725323	+	3.17785i	0.0305416	+	0.133811i
$565$	−25.2292	−	12.1497i	−1.06140	−	0.511143i
$566$	−17.1030	−	8.23635i	−0.718891	−	0.346200i
$567$	−35.0514	−	1.90893i	−1.47202	−	0.0801676i
$568$	12.7586	−	6.14419i	0.535337	−	0.257805i
$569$	8.41931			0.352956			0.176478	−	0.984305i	$-0.443530\pi$
$569$	8.41931			0.352956			0.176478	+	0.984305i	$0.443530\pi$
$570$	−5.85310			−0.245159
$571$	31.5658	−	15.2013i	1.32099	−	0.636155i	0.365398	−	0.930851i	$-0.380933\pi$
$571$	31.5658	−	15.2013i	1.32099	−	0.636155i	0.955591	+	0.294696i	$0.0952185\pi$
$572$	−4.51073	−	5.65627i	−0.188603	−	0.236501i
$573$	4.59854	+	20.1475i	0.192107	+	0.841675i
$574$	−0.926695	−	5.39878i	−0.0386795	−	0.225341i
$575$	8.68383	−	38.0464i	0.362141	−	1.58664i
$576$	−5.81264	+	2.79922i	−0.242193	+	0.116634i
$577$	7.74498	−	33.9330i	0.322428	−	1.41265i	−0.510791	−	0.859705i	$-0.670648\pi$
$577$	7.74498	−	33.9330i	0.322428	−	1.41265i	0.833219	−	0.552943i	$-0.186495\pi$
$578$	10.3415	+	12.9679i	0.430151	+	0.539392i
$579$	−1.58752	−	6.95539i	−0.0659752	−	0.289056i
$580$	−8.04430	+	10.0872i	−0.334022	+	0.418850i
$581$	5.55176	−	19.3939i	0.230326	−	0.804596i
$582$	31.4343	+	39.4173i	1.30299	+	1.63390i
$583$	8.83961	−	11.0845i	0.366099	−	0.459074i
$584$	3.74709	+	1.80450i	0.155056	+	0.0746709i
$585$	29.1012	−	36.4917i	1.20319	−	1.50875i
$586$	4.36629	−	19.1300i	0.180370	−	0.790253i
$587$	19.8051			0.817443			0.408722	−	0.912659i	$-0.365975\pi$
$587$	19.8051			0.817443			0.408722	+	0.912659i	$0.365975\pi$
$588$	18.2605	+	11.3878i	0.753049	+	0.469624i
$589$	−1.58000			−0.0651029
$590$	−2.11692	+	9.27484i	−0.0871523	+	0.381839i
$591$	−16.7205	+	20.9669i	−0.687790	+	0.862461i
$592$	5.78775	+	2.78724i	0.237875	+	0.114555i
$593$	6.57004	−	8.23857i	0.269799	−	0.338317i	−0.628413	−	0.777880i	$-0.716295\pi$
$593$	6.57004	−	8.23857i	0.269799	−	0.338317i	0.898212	+	0.439563i	$0.144867\pi$
$594$	20.0159	+	25.0991i	0.821261	+	1.02983i
$595$	−3.42316	+	3.84359i	−0.140336	+	0.157572i
$596$	−4.42263	+	5.54581i	−0.181158	+	0.227165i
$597$	−7.30558	−	32.0078i	−0.298997	−	1.30999i
$598$	−14.0105	−	17.5686i	−0.572931	−	0.718433i
$599$	0.828100	−	3.62814i	0.0338352	−	0.148242i	−0.955189	−	0.295998i	$-0.904348\pi$
$599$	0.828100	−	3.62814i	0.0338352	−	0.148242i	0.989024	+	0.147756i	$0.0472050\pi$
$600$	−11.5031	+	5.53961i	−0.469613	+	0.226154i
$601$	−0.0432317	+	0.189411i	−0.00176346	+	0.00772622i	−0.975802	−	0.218656i	$-0.929833\pi$
$601$	−0.0432317	+	0.189411i	−0.00176346	+	0.00772622i	0.974039	+	0.226382i	$0.0726899\pi$
$602$	3.58380	+	0.195177i	0.146065	+	0.00795481i
$603$	−9.07715	−	39.7696i	−0.369650	−	1.61954i
$604$	7.35530	+	9.22326i	0.299283	+	0.375289i
$605$	−5.03470	+	2.42459i	−0.204690	+	0.0985734i
$606$	44.1774			1.79458
$607$	−20.2928			−0.823658			−0.411829	−	0.911261i	$-0.635110\pi$
$607$	−20.2928			−0.823658			−0.411829	+	0.911261i	$0.635110\pi$
$608$	0.566975	−	0.273041i	0.0229939	−	0.0110733i
$609$	23.0704	−	25.9039i	0.934861	−	1.04968i
$610$	14.7104	+	7.08417i	0.595608	+	0.286830i
$611$	2.28431	+	1.10007i	0.0924135	+	0.0445040i
$612$	0.923117	+	4.04444i	0.0373148	+	0.163487i
$613$	−3.25039	−	14.2409i	−0.131282	−	0.575185i	−0.997186	−	0.0749735i	$-0.976113\pi$
$613$	−3.25039	−	14.2409i	−0.131282	−	0.575185i	0.865903	−	0.500211i	$-0.166744\pi$
$614$	18.9699	+	9.13542i	0.765563	+	0.368675i
$615$	−17.3498	−	8.35520i	−0.699610	−	0.336914i
$616$	−1.35414	−	7.88903i	−0.0545600	−	0.317858i
$617$	−10.5371	+	5.07442i	−0.424209	+	0.204288i	−0.633794	−	0.773502i	$-0.718503\pi$
$617$	−10.5371	+	5.07442i	−0.424209	+	0.204288i	0.209584	+	0.977791i	$0.432789\pi$
$618$	−50.2109			−2.01978
$619$	−37.4631			−1.50577			−0.752885	−	0.658152i	$-0.771338\pi$
$619$	−37.4631			−1.50577			−0.752885	+	0.658152i	$0.771338\pi$
$620$	−6.84374	+	3.29577i	−0.274851	+	0.132361i
$621$	62.1700	+	77.9587i	2.49480	+	3.12838i
$622$	−2.62030	−	11.4803i	−0.105064	−	0.460317i
$623$	0.867425	−	3.03017i	0.0347527	−	0.121401i
$624$	−1.63591	+	7.16739i	−0.0654888	+	0.286925i
$625$	25.6937	−	12.3734i	1.02775	−	0.494937i
$626$	4.77356	−	20.9143i	0.190790	−	0.835905i
$627$	−3.64935	−	4.57614i	−0.145741	−	0.182753i
$628$	2.92772	+	12.8272i	0.116829	+	0.511861i
$629$	2.57544	−	3.22950i	0.102690	−	0.128769i
$630$	47.6763	−	19.8428i	1.89947	−	0.790556i
$631$	−8.17143	−	10.2467i	−0.325300	−	0.407913i	0.592110	−	0.805857i	$-0.298295\pi$
$631$	−8.17143	−	10.2467i	−0.325300	−	0.407913i	−0.917410	+	0.397944i	$0.869724\pi$
$632$	6.99624	−	8.77301i	0.278296	−	0.348972i
$633$	−39.3945	−	18.9714i	−1.56579	−	0.754046i
$634$	−18.5073	+	23.2074i	−0.735017	+	0.921682i
$635$	−9.01798	+	39.5103i	−0.357867	+	1.56792i
$636$	−14.4071			−0.571277
$637$	15.7811	−	5.58207i	0.625268	−	0.221170i
$638$	−12.9021			−0.510798
$639$	−20.3295	+	89.0693i	−0.804222	+	3.52353i
$640$	1.88629	−	2.36534i	0.0745623	−	0.0934982i
$641$	10.3864	+	5.00184i	0.410239	+	0.197561i	0.627609	−	0.778528i	$-0.284034\pi$
$641$	10.3864	+	5.00184i	0.410239	+	0.197561i	−0.217370	+	0.976089i	$0.569748\pi$
$642$	31.9798	−	40.1013i	1.26214	−	1.58267i
$643$	−14.3138	−	17.9489i	−0.564481	−	0.707836i	0.414898	−	0.909868i	$-0.363817\pi$
$643$	−14.3138	−	17.9489i	−0.564481	−	0.707836i	−0.979379	+	0.202031i	$0.935246\pi$
$644$	−4.20602	−	24.5036i	−0.165740	−	0.965577i
$645$	7.86680	−	9.86466i	0.309755	−	0.388421i
$646$	−0.0900424	−	0.394502i	−0.00354267	−	0.0155215i
$647$	1.62204	+	2.03397i	0.0637689	+	0.0799636i	0.812693	−	0.582692i	$-0.198001\pi$
$647$	1.62204	+	2.03397i	0.0637689	+	0.0799636i	−0.748924	+	0.662656i	$0.769429\pi$
$648$	2.95237	−	12.9352i	0.115980	−	0.508141i
$649$	−8.57124	+	4.12769i	−0.336451	+	0.162026i
$650$	−2.20985	+	9.68197i	−0.0866773	+	0.379758i
$651$	18.8545	−	7.84719i	0.738965	−	0.307556i
$652$	−2.98416	−	13.0745i	−0.116869	−	0.512036i
$653$	22.0743	+	27.6803i	0.863835	+	1.08321i	0.995763	+	0.0919555i	$0.0293117\pi$
$653$	22.0743	+	27.6803i	0.863835	+	1.08321i	−0.131928	+	0.991259i	$0.542117\pi$
$654$	−4.61224	+	2.22114i	−0.180353	+	0.0868534i
$655$	−58.8069			−2.29777
$656$	2.07039			0.0808351
$657$	−24.1745	+	11.6418i	−0.943139	+	0.454192i
$658$	1.62714	+	2.28503i	0.0634324	+	0.0890797i
$659$	24.6402	+	11.8661i	0.959847	+	0.462238i	0.847128	−	0.531389i	$-0.178330\pi$
$659$	24.6402	+	11.8661i	0.959847	+	0.462238i	0.112719	+	0.993627i	$0.464044\pi$
$660$	−25.3525	−	12.2091i	−0.986846	−	0.475240i
$661$	−0.769109	−	3.36968i	−0.0299149	−	0.131066i	0.957765	−	0.287550i	$-0.0928409\pi$
$661$	−0.769109	−	3.36968i	−0.0299149	−	0.131066i	−0.987680	+	0.156485i	$0.949984\pi$
$662$	−0.182676	−	0.800355i	−0.00709989	−	0.0311067i
$663$	4.25912	+	2.05109i	0.165411	+	0.0796576i
$664$	6.86957	+	3.30821i	0.266591	+	0.128383i
$665$	−4.65043	+	1.93550i	−0.180336	+	0.0750555i
$666$	−37.3400	+	17.9820i	−1.44689	+	0.696788i
$667$	−40.0743			−1.55168
$668$	−9.48237			−0.366884
$669$	−26.8562	+	12.9332i	−1.03832	+	0.500028i
$670$	11.9268	+	14.9557i	0.460772	+	0.577790i
$671$	3.63318	+	15.9180i	0.140257	+	0.614507i
$672$	−5.40974	+	6.07417i	−0.208685	+	0.234316i
$673$	4.76589	−	20.8807i	0.183712	−	0.804893i	−0.796131	−	0.605124i	$-0.793124\pi$
$673$	4.76589	−	20.8807i	0.183712	−	0.804893i	0.979843	−	0.199769i	$-0.0640192\pi$
$674$	3.24888	−	1.56458i	0.125142	−	0.0602654i
$675$	9.80597	−	42.9627i	0.377432	−	1.65364i
$676$	−4.54001	−	5.69299i	−0.174616	−	0.218961i
$677$	4.14397	+	18.1559i	0.159266	+	0.697789i	0.989994	+	0.141111i	$0.0450673\pi$
$677$	4.14397	+	18.1559i	0.159266	+	0.697789i	−0.830728	+	0.556679i	$0.812076\pi$
$678$	−17.7416	+	22.2473i	−0.681364	+	0.854403i
$679$	38.0098	+	20.9234i	1.45868	+	0.802965i
$680$	−1.21292	−	1.52095i	−0.0465133	−	0.0583258i
$681$	11.8766	−	14.8928i	0.455111	−	0.570692i
$682$	−6.84374	−	3.29577i	−0.262060	−	0.126202i
$683$	−3.88430	+	4.87076i	−0.148629	+	0.186374i	−0.850572	−	0.525858i	$-0.823744\pi$
$683$	−3.88430	+	4.87076i	−0.148629	+	0.186374i	0.701944	+	0.712232i	$0.252316\pi$
$684$	−0.903419	+	3.95814i	−0.0345431	+	0.151343i
$685$	−23.8585			−0.911587
$686$	18.2741	+	3.00950i	0.697709	+	0.114903i
$687$	−1.68264			−0.0641969
$688$	−0.301862	+	1.32254i	−0.0115084	+	0.0504215i
$689$	−6.98700	+	8.76142i	−0.266183	+	0.333783i
$690$	−78.7458	−	37.9220i	−2.99780	−	1.44367i
$691$	−14.0148	+	17.5739i	−0.533146	+	0.668544i	−0.973342	−	0.229357i	$-0.926338\pi$
$691$	−14.0148	+	17.5739i	−0.533146	+	0.668544i	0.440196	+	0.897902i	$0.354909\pi$
$692$	−0.656216	−	0.822869i	−0.0249456	−	0.0312808i
$693$	45.2394	+	24.9031i	1.71850	+	0.945990i
$694$	10.3143	−	12.9337i	0.391525	−	0.490957i
$695$	−0.197381	−	0.864782i	−0.00748708	−	0.0328030i
$696$	8.17448	+	10.2505i	0.309853	+	0.388543i
$697$	0.296241	−	1.29792i	0.0112209	−	0.0491621i
$698$	2.12689	−	1.02426i	0.0805039	−	0.0387687i
$699$	4.63669	−	20.3147i	0.175376	−	0.768372i
$700$	−7.30768	+	8.20521i	−0.276204	+	0.310128i
$701$	5.47281	+	23.9779i	0.206705	+	0.905634i	0.966742	+	0.255754i	$0.0823237\pi$
$701$	5.47281	+	23.9779i	0.206705	+	0.905634i	−0.760037	+	0.649880i	$0.774819\pi$
$702$	−15.8209	−	19.8388i	−0.597122	−	0.748768i
$703$	3.64220	−	1.75399i	0.137368	−	0.0661531i
$704$	3.02538			0.114023
$705$	9.86144			0.371403
$706$	−3.42095	+	1.64744i	−0.128749	+	0.0620024i
$707$	35.1001	−	14.6086i	1.32007	−	0.549412i
$708$	8.70994	+	4.19448i	0.327340	+	0.157638i
$709$	−3.78492	−	1.82272i	−0.142146	−	0.0684538i	0.361459	−	0.932388i	$-0.382279\pi$
$709$	−3.78492	−	1.82272i	−0.142146	−	0.0684538i	−0.503605	+	0.863934i	$0.667993\pi$
$710$	−9.53328	−	41.7680i	−0.357778	−	1.56753i
$711$	16.1091	+	70.5784i	0.604137	+	2.64690i
$712$	1.07332	+	0.516886i	0.0402245	+	0.0193711i
$713$	−21.2569	−	10.2368i	−0.796077	−	0.383370i
$714$	3.03381	+	4.26046i	0.113538	+	0.159444i
$715$	−19.7200	+	9.49665i	−0.737486	+	0.355155i
$716$	−10.1920			−0.380894
$717$	20.9103			0.780908
$718$	−25.1701	+	12.1213i	−0.939339	+	0.452362i
$719$	28.8282	+	36.1494i	1.07511	+	1.34815i	0.933644	+	0.358203i	$0.116610\pi$
$719$	28.8282	+	36.1494i	1.07511	+	1.34815i	0.141467	+	0.989943i	$0.454818\pi$
$720$	4.34325	+	19.0290i	0.161863	+	0.709170i
$721$	−39.8938	+	16.6037i	−1.48572	+	0.618355i
$722$	−4.13978	+	18.1375i	−0.154067	+	0.675010i
$723$	72.1952	−	34.7674i	2.68497	−	1.29301i
$724$	−3.08835	+	13.5309i	−0.114778	+	0.502873i
$725$	11.0424	+	13.8467i	0.410104	+	0.514254i
$726$	1.26359	+	5.53615i	0.0468963	+	0.205466i
$727$	0.337641	−	0.423389i	0.0125224	−	0.0157026i	−0.775531	−	0.631310i	$-0.782518\pi$
$727$	0.337641	−	0.423389i	0.0125224	−	0.0157026i	0.788053	+	0.615607i	$0.211089\pi$
$728$	1.07034	+	6.23564i	0.0396694	+	0.231108i
$729$	−7.64986	−	9.59262i	−0.283328	−	0.355282i
$730$	7.84502	−	9.83734i	0.290357	−	0.364096i
$731$	0.785903	+	0.378471i	0.0290677	+	0.0139983i
$732$	10.3447	−	12.9718i	0.382350	−	0.479451i
$733$	−3.74578	+	16.4114i	−0.138354	+	0.606167i	0.857443	+	0.514579i	$0.172052\pi$
$733$	−3.74578	+	16.4114i	−0.138354	+	0.606167i	−0.995797	+	0.0915886i	$0.970806\pi$
$734$	31.1857			1.15109
$735$	45.8817	−	46.1934i	1.69237	−	1.70387i
$736$	9.39694			0.346376
$737$	−4.25663	+	18.6495i	−0.156795	+	0.686963i
$738$	−8.32809	+	10.4431i	−0.306561	+	0.384416i
$739$	12.0260	+	5.79140i	0.442382	+	0.213040i	0.641796	−	0.766875i	$-0.278189\pi$
$739$	12.0260	+	5.79140i	0.442382	+	0.213040i	−0.199414	+	0.979915i	$0.563904\pi$
$740$	12.1174	−	15.1947i	0.445445	−	0.558570i
$741$	2.88451	+	3.61706i	0.105965	+	0.132876i
$742$	−11.4468	+	4.76413i	−0.420224	+	0.174897i
$743$	−25.2863	+	31.7080i	−0.927663	+	1.16325i	0.0586353	+	0.998279i	$0.481325\pi$
$743$	−25.2863	+	31.7080i	−0.927663	+	1.16325i	−0.986298	+	0.164973i	$0.947246\pi$
$744$	1.71762	+	7.52537i	0.0629709	+	0.275893i
$745$	13.3801	+	16.7782i	0.490211	+	0.614705i
$746$	−3.61494	+	15.8381i	−0.132352	+	0.579874i
$747$	−44.3193	+	21.3431i	−1.62156	+	0.780902i
$748$	0.432885	−	1.89659i	0.0158279	−	0.0693464i
$749$	12.1480	−	42.4366i	0.443879	−	1.55060i
$750$	−1.75317	−	7.68113i	−0.0640166	−	0.280475i
$751$	−13.8236	−	17.3343i	−0.504431	−	0.632536i	0.462792	−	0.886467i	$-0.346848\pi$
$751$	−13.8236	−	17.3343i	−0.504431	−	0.632536i	−0.967222	+	0.253931i	$0.918276\pi$
$752$	−0.955254	+	0.460026i	−0.0348345	+	0.0167754i
$753$	80.5229			2.93442
$754$	10.1980			0.371390
$755$	32.1559	−	15.4855i	1.17027	−	0.563574i
$756$	−4.74952	−	27.6700i	−0.172738	−	1.00635i
$757$	−16.4965	−	7.94430i	−0.599576	−	0.288740i	0.109373	−	0.994001i	$-0.465116\pi$
$757$	−16.4965	−	7.94430i	−0.599576	−	0.288740i	−0.708948	+	0.705260i	$0.750830\pi$
$758$	26.5597	+	12.7905i	0.964690	+	0.464570i
$759$	−19.4486	−	85.2099i	−0.705940	−	3.09292i
$760$	−0.423648	−	1.85612i	−0.0153673	−	0.0673287i
$761$	−23.8595	−	11.4902i	−0.864908	−	0.416518i	−0.0518185	−	0.998657i	$-0.516502\pi$
$761$	−23.8595	−	11.4902i	−0.864908	−	0.416518i	−0.813089	+	0.582139i	$0.802216\pi$
$762$	37.1039	+	17.8683i	1.34413	+	0.647300i
$763$	−2.93006	+	3.28993i	−0.106075	+	0.119103i
$764$	−6.05630	+	2.91656i	−0.219109	+	0.105518i
$765$	12.5506			0.453769
$766$	16.7973			0.606912
$767$	6.77487	−	3.26260i	0.244626	−	0.117806i
$768$	−1.91682	−	2.40361i	−0.0691672	−	0.0867329i
$769$	11.1387	+	48.8018i	0.401671	+	1.75984i	0.620631	+	0.784103i	$0.286877\pi$
$769$	11.1387	+	48.8018i	0.401671	+	1.75984i	−0.218960	+	0.975734i	$0.570266\pi$
$770$	−24.1805	−	1.31689i	−0.871406	−	0.0474575i
$771$	9.17201	−	40.1852i	0.330322	−	1.44724i
$772$	2.09078	−	1.00686i	0.0752486	−	0.0362378i
$773$	2.10947	−	9.24219i	0.0758723	−	0.332418i	−0.922719	−	0.385473i	$-0.874038\pi$
$773$	2.10947	−	9.24219i	0.0758723	−	0.332418i	0.998592	+	0.0530541i	$0.0168956\pi$
$774$	−5.45671	−	6.84250i	−0.196137	−	0.245948i
$775$	2.32022	+	10.1655i	0.0833447	+	0.365157i
$776$	−10.2247	+	12.8214i	−0.367046	+	0.460261i
$777$	−34.7518	+	39.0200i	−1.24671	+	1.39983i
$778$	7.22891	+	9.06477i	0.259169	+	0.324988i
$779$	0.812336	−	1.01864i	0.0291050	−	0.0364965i
$780$	20.0391	+	9.65033i	0.717515	+	0.345537i
$781$	26.7117	−	33.4954i	0.955819	−	1.19856i
$782$	1.34456	−	5.89089i	0.0480812	−	0.210658i
$783$	−45.2527			−1.61720
$784$	−2.28957	+	6.61497i	−0.0817704	+	0.236249i
$785$	39.8052			1.42071
$786$	−13.2975	+	58.2602i	−0.474307	+	2.07807i
$787$	−27.1997	+	34.1074i	−0.969565	+	1.21580i	0.00686820	+	0.999976i	$0.497814\pi$
$787$	−27.1997	+	34.1074i	−0.969565	+	1.21580i	−0.976433	+	0.215820i	$0.930758\pi$
$788$	−7.85920	−	3.78479i	−0.279972	−	0.134828i
$789$	20.2466	−	25.3885i	0.720800	−	0.903854i
$790$	−21.1663	−	26.5417i	−0.753063	−	0.944311i
$791$	−6.73944	+	23.5429i	−0.239627	+	0.837088i
$792$	−12.1695	+	15.2601i	−0.432425	+	0.542244i
$793$	−2.87173	−	12.5819i	−0.101978	−	0.446795i
$794$	−8.51285	−	10.6748i	−0.302110	−	0.378833i
$795$	−9.69898	+	42.4940i	−0.343988	+	1.50711i
$796$	9.62148	−	4.63346i	0.341024	−	0.164229i
$797$	1.46387	−	6.41362i	0.0518528	−	0.227182i	−0.942362	−	0.334596i	$-0.891400\pi$
$797$	1.46387	−	6.41362i	0.0518528	−	0.227182i	0.994214	+	0.107414i	$0.0342572\pi$
$798$	0.865945	+	5.04486i	0.0306541	+	0.178586i
$799$	0.151706	+	0.664666i	0.00536696	+	0.0235142i
$800$	−2.58931	−	3.24689i	−0.0915458	−	0.114795i
$801$	−6.92460	+	3.33471i	−0.244669	+	0.117826i
$802$	−12.0822			−0.426636
$803$	12.5824			0.444024
$804$	17.5136	−	8.43411i	0.617658	−	0.297448i
$805$	−75.1056	−	4.09032i	−2.64712	−	0.144165i
$806$	5.40942	+	2.60504i	0.190539	+	0.0917586i
$807$	−33.0163	−	15.8998i	−1.16223	−	0.559701i
$808$	3.19757	+	14.0095i	0.112490	+	0.492851i
$809$	−7.97579	−	34.9442i	−0.280414	−	1.22857i	−0.897265	−	0.441493i	$-0.854449\pi$
$809$	−7.97579	−	34.9442i	−0.280414	−	1.22857i	0.616851	−	0.787080i	$-0.288408\pi$
$810$	−36.1651	−	17.4162i	−1.27071	−	0.611942i
$811$	−23.6835	−	11.4054i	−0.831642	−	0.400498i	−0.0309111	−	0.999522i	$-0.509841\pi$
$811$	−23.6835	−	11.4054i	−0.831642	−	0.400498i	−0.800731	+	0.599025i	$0.795555\pi$
$812$	9.88445	+	5.44112i	0.346876	+	0.190946i
$813$	68.8871	−	33.1743i	2.41597	−	1.16347i
$814$	19.4348			0.681190
$815$	−40.5725			−1.42119
$816$	−1.78108	+	0.857722i	−0.0623502	+	0.0300263i
$817$	0.532257	+	0.667429i	0.0186213	+	0.0233504i
$818$	−5.60014	−	24.5358i	−0.195804	−	0.857874i
$819$	−35.7581	−	19.6839i	−1.24949	−	0.687810i
$820$	1.39381	−	6.10667i	0.0486739	−	0.213254i
$821$	−31.5369	+	15.1874i	−1.10065	+	0.530043i	−0.893861	−	0.448344i	$-0.852014\pi$
$821$	−31.5369	+	15.1874i	−1.10065	+	0.530043i	−0.206784	+	0.978387i	$0.566300\pi$
$822$	−5.39493	+	23.6367i	−0.188170	+	0.824426i
$823$	16.8693	+	21.1534i	0.588026	+	0.737361i	0.983458	−	0.181134i	$-0.0579767\pi$
$823$	16.8693	+	21.1534i	0.588026	+	0.737361i	−0.395433	+	0.918495i	$0.629405\pi$
$824$	−3.63427	−	15.9228i	−0.126606	−	0.554696i
$825$	−24.0832	+	30.1994i	−0.838471	+	1.05141i
$826$	8.30730	+	0.452423i	0.289048	+	0.0157418i
$827$	−19.5888	−	24.5635i	−0.681168	−	0.854157i	0.314293	−	0.949326i	$-0.398232\pi$
$827$	−19.5888	−	24.5635i	−0.681168	−	0.854157i	−0.995461	+	0.0951686i	$0.969661\pi$
$828$	−37.7989	+	47.3984i	−1.31360	+	1.64721i
$829$	17.2214	+	8.29339i	0.598124	+	0.288041i	0.708346	−	0.705866i	$-0.249442\pi$
$829$	17.2214	+	8.29339i	0.598124	+	0.288041i	−0.110222	+	0.993907i	$0.535156\pi$
$830$	14.3823	−	18.0349i	0.499218	−	0.625999i
$831$	19.0041	−	83.2626i	0.659247	−	2.88835i
$832$	−2.39132			−0.0829040
$833$	3.81929	+	2.38182i	0.132330	+	0.0825252i
$834$	−0.901375			−0.0312121
$835$	−6.38363	+	27.9685i	−0.220915	+	0.967890i
$836$	1.18704	−	1.48850i	0.0410545	−	0.0514807i
$837$	−24.0037	−	11.5596i	−0.829690	−	0.399558i
$838$	−13.4246	+	16.8340i	−0.463746	+	0.581519i
$839$	6.82417	+	8.55724i	0.235597	+	0.295429i	0.885549	−	0.464546i	$-0.153783\pi$
$839$	6.82417	+	8.55724i	0.235597	+	0.295429i	−0.649952	+	0.759975i	$0.725211\pi$
$840$	14.2740	+	20.0454i	0.492501	+	0.691631i
$841$	−6.74187	+	8.45403i	−0.232478	+	0.291518i
$842$	−6.22958	−	27.2936i	−0.214686	−	0.940599i
$843$	59.7847	+	74.9676i	2.05909	+	2.58202i
$844$	3.16480	−	13.8659i	0.108937	−	0.477283i
$845$	−19.8480	+	9.55829i	−0.682792	+	0.328815i
$846$	1.52210	−	6.66876i	0.0523309	−	0.229277i
$847$	2.83465	+	3.98077i	0.0973997	+	0.136781i
$848$	−1.04279	−	4.56874i	−0.0358094	−	0.156891i
$849$	36.3867	+	45.6274i	1.24879	+	1.56593i
$850$	−2.40595	+	1.15864i	−0.0825233	+	0.0397411i
$851$	60.3652			2.06929
$852$	−43.5355			−1.49150
$853$	44.1593	−	21.2660i	1.51199	−	0.728134i	0.519962	−	0.854189i	$-0.325946\pi$
$853$	44.1593	−	21.2660i	1.51199	−	0.728134i	0.992023	+	0.126056i	$0.0402318\pi$
$854$	3.92958	−	13.7272i	0.134468	−	0.469735i
$855$	11.0664	+	5.32932i	0.378464	+	0.182259i
$856$	15.0316	+	7.23882i	0.513768	+	0.247418i
$857$	2.46292	+	10.7908i	0.0841317	+	0.368605i	0.999415	−	0.0342061i	$-0.0108903\pi$
$857$	2.46292	+	10.7908i	0.0841317	+	0.368605i	−0.915283	+	0.402811i	$0.868033\pi$
$858$	4.94925	+	21.6841i	0.168965	+	0.740282i
$859$	13.3149	+	6.41211i	0.454298	+	0.218778i	0.647017	−	0.762476i	$-0.276016\pi$
$859$	13.3149	+	6.41211i	0.454298	+	0.218778i	−0.192719	+	0.981254i	$0.561731\pi$
$860$	3.69766	+	1.78070i	0.126089	+	0.0607214i
$861$	−4.63462	+	16.1901i	−0.157948	+	0.551757i
$862$	−15.9286	+	7.67081i	−0.542530	+	0.261269i
$863$	−7.06992			−0.240663			−0.120331	−	0.992734i	$-0.538396\pi$
$863$	−7.06992			−0.240663			−0.120331	+	0.992734i	$0.538396\pi$
$864$	10.6112			0.361001
$865$	−2.86885	+	1.38156i	−0.0975437	+	0.0469745i
$866$	0.735843	+	0.922718i	0.0250050	+	0.0313552i
$867$	−11.3469	−	49.7141i	−0.385361	−	1.68838i
$868$	3.85318	+	5.41111i	0.130785	+	0.183665i
$869$	7.55417	−	33.0970i	0.256258	−	1.12274i
$870$	35.7372	−	17.2101i	1.21160	−	0.583478i
$871$	3.36452	−	14.7409i	0.114002	−	0.499477i
$872$	−1.03820	−	1.30186i	−0.0351578	−	0.0440865i
$873$	−23.5427	−	103.148i	−0.796801	−	3.49101i
$874$	3.68697	−	4.62332i	0.124714	−	0.156386i
$875$	−3.93293	−	5.52311i	−0.132957	−	0.186715i
$876$	−7.97196	−	9.99653i	−0.269348	−	0.337751i
$877$	30.0485	−	37.6796i	1.01467	−	1.27235i	0.0528650	−	0.998602i	$-0.483165\pi$
$877$	30.0485	−	37.6796i	1.01467	−	1.27235i	0.961801	−	0.273749i	$-0.0882639\pi$
$878$	−19.2355	−	9.26335i	−0.649168	−	0.312623i
$879$	−37.6117	+	47.1636i	−1.26861	+	1.59079i
$880$	2.03672	−	8.92344i	0.0686577	−	0.300809i
$881$	5.91801			0.199383			0.0996915	−	0.995018i	$-0.468214\pi$
$881$	5.91801			0.199383			0.0996915	+	0.995018i	$0.468214\pi$
$882$	−24.1563	−	38.1572i	−0.813386	−	1.28482i
$883$	−29.4616			−0.991461			−0.495730	−	0.868477i	$-0.665100\pi$
$883$	−29.4616			−0.991461			−0.495730	+	0.868477i	$0.665100\pi$
$884$	−0.342161	+	1.49910i	−0.0115081	+	0.0504203i
$885$	18.2354	−	22.8664i	0.612975	−	0.768647i
$886$	7.76887	+	3.74129i	0.261000	+	0.125691i
$887$	14.4965	−	18.1781i	0.486746	−	0.610360i	−0.476437	−	0.879209i	$-0.658072\pi$
$887$	14.4965	−	18.1781i	0.486746	−	0.610360i	0.963182	+	0.268849i	$0.0866433\pi$
$888$	−12.3135	−	15.4406i	−0.413214	−	0.518154i
$889$	35.3887	+	1.92730i	1.18690	+	0.0646395i
$890$	2.24714	−	2.81783i	0.0753244	−	0.0944538i
$891$	−8.93203	−	39.1338i	−0.299234	−	1.31103i
$892$	−6.04522	−	7.58047i	−0.202409	−	0.253813i
$893$	−0.148468	+	0.650483i	−0.00496831	+	0.0217676i
$894$	19.6477	−	9.46186i	0.657119	−	0.316452i
$895$	−6.86137	+	30.0616i	−0.229350	+	1.00485i
$896$	−2.31779	−	1.27588i	−0.0774318	−	0.0426241i
$897$	15.3725	+	67.3515i	0.513274	+	2.24880i
$898$	−10.4421	−	13.0940i	−0.348458	−	0.436953i
$899$	9.64701	−	4.64575i	0.321746	−	0.154945i
$900$	26.7928			0.893093
$901$	−3.01332			−0.100388
$902$	5.64341	−	2.71773i	0.187905	−	0.0904903i
$903$	−9.66635	−	5.32106i	−0.321676	−	0.177074i
$904$	−8.33917	−	4.01593i	−0.277357	−	0.133568i
$905$	37.8308	+	18.2183i	1.25754	+	0.605598i
$906$	−8.07037	−	35.3586i	−0.268120	−	1.17471i
$907$	−3.76041	−	16.4754i	−0.124862	−	0.547057i	−0.998202	−	0.0599450i	$-0.980907\pi$
$907$	−3.76041	−	16.4754i	−0.124862	−	0.547057i	0.873339	−	0.487112i	$-0.161950\pi$
$908$	5.58239	+	2.68834i	0.185258	+	0.0892156i
$909$	−83.5261	−	40.2241i	−2.77039	−	1.33415i
$910$	19.1127	+	1.04090i	0.633581	+	0.0345054i
$911$	−43.4454	+	20.9222i	−1.43941	+	0.693183i	−0.980721	−	0.195415i	$-0.937395\pi$
$911$	−43.4454	+	20.9222i	−1.43941	+	0.693183i	−0.458688	+	0.888597i	$0.651680\pi$
$912$	−1.93466			−0.0640632
$913$	23.0675			0.763421
$914$	7.22195	−	3.47791i	0.238881	−	0.115039i
$915$	−31.2965	−	39.2446i	−1.03463	−	1.29739i
$916$	−0.121790	−	0.533597i	−0.00402406	−	0.0176305i
$917$	8.70027	+	50.6864i	0.287308	+	1.67381i
$918$	1.51830	−	6.65211i	0.0501114	−	0.219552i
$919$	9.46409	−	4.55767i	0.312192	−	0.150344i	−0.271226	−	0.962516i	$-0.587429\pi$
$919$	9.46409	−	4.55767i	0.312192	−	0.150344i	0.583418	+	0.812172i	$0.301715\pi$
$920$	6.32612	−	27.7165i	0.208566	−	0.913787i
$921$	−40.3586	−	50.6081i	−1.32986	−	1.66759i
$922$	4.03081	+	17.6602i	0.132748	+	0.581606i
$923$	−21.1134	+	26.4754i	−0.694956	+	0.871447i
$924$	−6.77240	+	23.6580i	−0.222795	+	0.778290i
$925$	−16.6335	−	20.8578i	−0.546906	−	0.685799i
$926$	−3.31737	+	4.15985i	−0.109016	+	0.136701i
$927$	94.9336	+	45.7176i	3.11803	+	1.50156i
$928$	−2.65894	+	3.33421i	−0.0872840	+	0.109451i
$929$	−7.82533	+	34.2850i	−0.256741	+	1.12485i	0.667971	+	0.744187i	$0.267163\pi$
$929$	−7.82533	+	34.2850i	−0.256741	+	1.12485i	−0.924712	+	0.380668i	$0.875694\pi$
$930$	23.3526			0.765762
$931$	2.35625	+	3.72192i	0.0772230	+	0.121981i
$932$	6.77776			0.222013
$933$	−8.05568	+	35.2942i	−0.263731	+	1.15548i
$934$	20.9217	−	26.2349i	0.684578	−	0.858434i
$935$	−5.30263	−	2.55361i	−0.173415	−	0.0835121i
$936$	9.61901	−	12.0619i	0.314407	−	0.394254i
$937$	16.0560	+	20.1336i	0.524527	+	0.657736i	0.971563	−	0.236779i	$-0.0760919\pi$
$937$	16.0560	+	20.1336i	0.524527	+	0.657736i	−0.447036	+	0.894516i	$0.647520\pi$
$938$	11.1260	−	12.4925i	0.363277	−	0.407895i
$939$	−41.1200	+	51.5628i	−1.34190	+	1.68269i
$940$	0.713773	+	3.12724i	0.0232807	+	0.101999i
$941$	−0.647819	−	0.812339i	−0.0211183	−	0.0264815i	0.771160	−	0.636641i	$-0.219677\pi$
$941$	−0.647819	−	0.812339i	−0.0211183	−	0.0264815i	−0.792278	+	0.610160i	$0.791105\pi$
$942$	9.00081	−	39.4351i	0.293262	−	1.28487i
$943$	17.5286	−	8.44135i	0.570811	−	0.274888i
$944$	−0.699721	+	3.06568i	−0.0227740	+	0.0997793i
$945$	−84.8108	−	4.61887i	−2.75890	−	0.150252i
$946$	0.913247	+	4.00120i	0.0296922	+	0.130090i
$947$	−21.3235	−	26.7389i	−0.692922	−	0.868897i	0.303551	−	0.952815i	$-0.401828\pi$
$947$	−21.3235	−	26.7389i	−0.692922	−	0.868897i	−0.996473	+	0.0839185i	$0.973256\pi$
$948$	−31.0811	+	14.9679i	−1.00947	+	0.486134i
$949$	−9.94539			−0.322841
$950$	−2.61342			−0.0847904
$951$	82.2194	−	39.5948i	2.66615	−	1.28395i
$952$	−1.13148	+	1.27045i	−0.0366715	+	0.0411755i
$953$	19.4727	+	9.37756i	0.630783	+	0.303769i	0.721822	−	0.692078i	$-0.243305\pi$
$953$	19.4727	+	9.37756i	0.630783	+	0.303769i	−0.0910396	+	0.995847i	$0.529019\pi$
$954$	27.2394	+	13.1178i	0.881908	+	0.424705i
$955$	4.52531	+	19.8267i	0.146436	+	0.641577i
$956$	1.51349	+	6.63103i	0.0489497	+	0.214463i
$957$	35.7372	+	17.2101i	1.15522	+	0.556324i
$958$	−15.0845	−	7.26429i	−0.487357	−	0.234699i
$959$	3.52979	+	20.5640i	0.113983	+	0.664046i
$960$	−8.37995	+	4.03557i	−0.270462	+	0.130247i
$961$	−24.6961			−0.796649
$962$	−15.3616			−0.495279
$963$	−96.9768	+	46.7016i	−3.12503	+	1.50494i
$964$	16.2509	+	20.3780i	0.523405	+	0.656330i
$965$	−1.56224	−	6.84463i	−0.0502904	−	0.220336i
$966$	−21.0353	+	73.4825i	−0.676800	+	2.36426i
$967$	6.95133	−	30.4558i	0.223540	−	0.979392i	−0.731250	−	0.682110i	$-0.761063\pi$
$967$	6.95133	−	30.4558i	0.223540	−	0.979392i	0.954790	−	0.297282i	$-0.0960802\pi$
$968$	−1.66416	+	0.801415i	−0.0534880	+	0.0257585i
$969$	−0.276821	+	1.21283i	−0.00889276	+	0.0389617i
$970$	30.9337	+	38.7896i	0.993221	+	1.24546i
$971$	−1.89102	−	8.28509i	−0.0606857	−	0.265881i	0.935479	−	0.353383i	$-0.114969\pi$
$971$	−1.89102	−	8.28509i	−0.0606857	−	0.265881i	−0.996164	+	0.0875019i	$0.972112\pi$
$972$	−5.58403	+	7.00215i	−0.179108	+	0.224594i
$973$	−0.716165	+	0.298067i	−0.0229592	+	0.00955558i
$974$	−16.6150	−	20.8346i	−0.532380	−	0.667583i
$975$	19.0358	−	23.8702i	0.609635	−	0.764458i
$976$	4.86234	+	2.34158i	0.155640	+	0.0749521i
$977$	1.35686	−	1.70145i	0.0434097	−	0.0544341i	−0.759653	−	0.650329i	$-0.774631\pi$
$977$	1.35686	−	1.70145i	0.0434097	−	0.0544341i	0.803062	+	0.595895i	$0.203203\pi$
$978$	−9.17432	+	40.1953i	−0.293362	+	1.28530i
$979$	3.60414			0.115189
$980$	17.9697	+	11.2064i	0.574020	+	0.357976i
$981$	10.7427			0.342989
$982$	1.68372	−	7.37684i	0.0537295	−	0.235404i
$983$	−17.1419	+	21.4952i	−0.546741	+	0.685591i	−0.976045	−	0.217569i	$-0.930187\pi$
$983$	−17.1419	+	21.4952i	−0.546741	+	0.685591i	0.429304	+	0.903160i	$0.358759\pi$
$984$	−5.73474	−	2.76170i	−0.182817	−	0.0880399i
$985$	−16.4542	+	20.6330i	−0.524276	+	0.657421i
$986$	1.70974	+	2.14395i	0.0544493	+	0.0682772i
$987$	−1.45897	−	8.49971i	−0.0464394	−	0.270549i
$988$	−0.938255	+	1.17653i	−0.0298499	+	0.0374305i
$989$	2.83658	+	12.4279i	0.0901979	+	0.395183i
$990$	36.8174	+	46.1676i	1.17013	+	1.46730i
$991$	0.140427	−	0.615250i	0.00446080	−	0.0195440i	−0.972649	−	0.232282i	$-0.925381\pi$
$991$	0.140427	−	0.615250i	0.00446080	−	0.0195440i	0.977109	+	0.212738i	$0.0682380\pi$
$992$	−2.26211	+	1.08937i	−0.0718220	+	0.0345877i
$993$	−0.561607	+	2.46056i	−0.0178220	+	0.0780835i
$994$	−34.5900	+	14.3963i	−1.09713	+	0.456623i
$995$	−7.18924	−	31.4981i	−0.227914	−	0.998558i
$996$	−14.6151	−	18.3267i	−0.463096	−	0.580704i
$997$	−18.4649	+	8.89223i	−0.584789	+	0.281620i	−0.702794	−	0.711393i	$-0.748064\pi$
$997$	−18.4649	+	8.89223i	−0.584789	+	0.281620i	0.118005	+	0.993013i	$0.462350\pi$
$998$	10.4872			0.331967
$999$	68.1657			2.15667

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	98.2.e.b.15.1	✓	18
3.2	odd	2		882.2.u.g.505.3		18
4.3	odd	2		784.2.u.d.113.3		18
7.2	even	3		686.2.g.h.67.1		36
7.3	odd	6		686.2.g.g.177.1		36
7.4	even	3		686.2.g.h.177.3		36
7.5	odd	6		686.2.g.g.67.3		36
7.6	odd	2		686.2.e.b.99.3		18
49.2	even	21		686.2.g.h.655.3		36
49.6	odd	14		4802.2.a.c.1.9		9
49.11	even	21		686.2.g.h.471.1		36
49.13	odd	14		686.2.e.b.589.3		18
49.36	even	7	inner	98.2.e.b.85.1	yes	18
49.38	odd	42		686.2.g.g.471.3		36
49.43	even	7		4802.2.a.d.1.1		9
49.47	odd	42		686.2.g.g.655.1		36
147.134	odd	14		882.2.u.g.379.3		18
196.183	odd	14		784.2.u.d.673.3		18

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
98.2.e.b.15.1	✓	18	1.1	even	1	trivial
98.2.e.b.85.1	yes	18	49.36	even	7	inner
686.2.e.b.99.3		18	7.6	odd	2
686.2.e.b.589.3		18	49.13	odd	14
686.2.g.g.67.3		36	7.5	odd	6
686.2.g.g.177.1		36	7.3	odd	6
686.2.g.g.471.3		36	49.38	odd	42
686.2.g.g.655.1		36	49.47	odd	42
686.2.g.h.67.1		36	7.2	even	3
686.2.g.h.177.3		36	7.4	even	3
686.2.g.h.471.1		36	49.11	even	21
686.2.g.h.655.3		36	49.2	even	21
784.2.u.d.113.3		18	4.3	odd	2
784.2.u.d.673.3		18	196.183	odd	14
882.2.u.g.379.3		18	147.134	odd	14
882.2.u.g.505.3		18	3.2	odd	2
4802.2.a.c.1.9		9	49.6	odd	14
4802.2.a.d.1.1		9	49.43	even	7

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:	\( N \)	\(=\)	\( 98 = 2 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	98.e (of order \(7\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.222521 - 0.974928i) q^{2} +(-1.91682 + 2.40361i) q^{3} +(-0.900969 - 0.433884i) q^{4} +(-1.88629 + 2.36534i) q^{5} +(1.91682 + 2.40361i) q^{6} +(2.31779 + 1.27588i) q^{7} +(-0.623490 + 0.781831i) q^{8} +(-1.43560 - 6.28979i) q^{9} +O(q^{10})\)	\(q+(0.222521 - 0.974928i) q^{2} +(-1.91682 + 2.40361i) q^{3} +(-0.900969 - 0.433884i) q^{4} +(-1.88629 + 2.36534i) q^{5} +(1.91682 + 2.40361i) q^{6} +(2.31779 + 1.27588i) q^{7} +(-0.623490 + 0.781831i) q^{8} +(-1.43560 - 6.28979i) q^{9} +(1.88629 + 2.36534i) q^{10} +(-0.673210 + 2.94953i) q^{11} +(2.76988 - 1.33390i) q^{12} +(0.532118 - 2.33136i) q^{13} +(1.75965 - 1.97577i) q^{14} +(-2.06968 - 9.06784i) q^{15} +(0.623490 + 0.781831i) q^{16} +(0.579338 - 0.278994i) q^{17} -6.45155 q^{18} +0.629295 q^{19} +(2.72577 - 1.31266i) q^{20} +(-7.50949 + 3.12544i) q^{21} +(2.72577 + 1.31266i) q^{22} +(8.46635 + 4.07718i) q^{23} +(-0.684104 - 2.99726i) q^{24} +(-0.924113 - 4.04880i) q^{25} +(-2.15450 - 1.03755i) q^{26} +(9.56038 + 4.60404i) q^{27} +(-1.53467 - 2.15518i) q^{28} +(-3.84228 + 1.85034i) q^{29} -9.30104 q^{30} -2.51075 q^{31} +(0.900969 - 0.433884i) q^{32} +(-5.79910 - 7.27184i) q^{33} +(-0.143085 - 0.626894i) q^{34} +(-7.38991 + 3.07567i) q^{35} +(-1.43560 + 6.28979i) q^{36} +(5.78775 - 2.78724i) q^{37} +(0.140031 - 0.613517i) q^{38} +(4.58372 + 5.74780i) q^{39} +(-0.673210 - 2.94953i) q^{40} +(1.29087 - 1.61870i) q^{41} +(1.37606 + 8.01669i) q^{42} +(0.845798 + 1.06060i) q^{43} +(1.88629 - 2.36534i) q^{44} +(17.5855 + 8.46871i) q^{45} +(5.85889 - 7.34682i) q^{46} +(-0.235928 + 1.03367i) q^{47} -3.07434 q^{48} +(3.74427 + 5.91443i) q^{49} -4.15293 q^{50} +(-0.439890 + 1.92728i) q^{51} +(-1.49096 + 1.86961i) q^{52} +(-4.22215 - 2.03328i) q^{53} +(6.61599 - 8.29618i) q^{54} +(-5.70676 - 7.15605i) q^{55} +(-2.44264 + 1.01662i) q^{56} +(-1.20624 + 1.51258i) q^{57} +(0.948965 + 4.15769i) q^{58} +(1.96057 + 2.45848i) q^{59} +(-2.06968 + 9.06784i) q^{60} +(4.86234 - 2.34158i) q^{61} +(-0.558695 + 2.44780i) q^{62} +(4.69759 - 16.4101i) q^{63} +(-0.222521 - 0.974928i) q^{64} +(4.51073 + 5.65627i) q^{65} +(-8.37995 + 4.03557i) q^{66} +6.32287 q^{67} -0.643016 q^{68} +(-26.0284 + 12.5346i) q^{69} +(1.35414 + 7.88903i) q^{70} +(-12.7586 - 6.14419i) q^{71} +(5.81264 + 2.79922i) q^{72} +(-0.925455 - 4.05468i) q^{73} +(-1.42946 - 6.26286i) q^{74} +(11.5031 + 5.53961i) q^{75} +(-0.566975 - 0.273041i) q^{76} +(-5.32360 + 5.97744i) q^{77} +(6.62367 - 3.18979i) q^{78} -11.2211 q^{79} -3.02538 q^{80} +(-11.9539 + 5.75669i) q^{81} +(-1.29087 - 1.61870i) q^{82} +(-1.69664 - 7.43348i) q^{83} +(8.12189 + 0.442326i) q^{84} +(-0.432885 + 1.89659i) q^{85} +(1.22221 - 0.588587i) q^{86} +(2.91744 - 12.7821i) q^{87} +(-1.88629 - 2.36534i) q^{88} +(-0.265089 - 1.16143i) q^{89} +(12.1695 - 15.2601i) q^{90} +(4.20787 - 4.72468i) q^{91} +(-5.85889 - 7.34682i) q^{92} +(4.81265 - 6.03488i) q^{93} +(0.955254 + 0.460026i) q^{94} +(-1.18704 + 1.48850i) q^{95} +(-0.684104 + 2.99726i) q^{96} +16.3992 q^{97} +(6.59932 - 2.33431i) q^{98} +19.5184 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 18 q + 3 q^{2} - 5 q^{3} - 3 q^{4} + 5 q^{6} - q^{7} + 3 q^{8} - 10 q^{9}+O(q^{10}) \) 18 * q + 3 * q^2 - 5 * q^3 - 3 * q^4 + 5 * q^6 - q^7 + 3 * q^8 - 10 * q^9	\( 18 q + 3 q^{2} - 5 q^{3} - 3 q^{4} + 5 q^{6} - q^{7} + 3 q^{8} - 10 q^{9} + 7 q^{11} + 2 q^{12} - 10 q^{13} + q^{14} + 7 q^{15} - 3 q^{16} + q^{17} - 32 q^{18} - 44 q^{19} + 7 q^{20} - 5 q^{21} + 7 q^{22} + 21 q^{23} - 2 q^{24} + q^{25} + 3 q^{26} + 10 q^{27} - 8 q^{28} + 11 q^{29} - 24 q^{31} + 3 q^{32} - 14 q^{33} - q^{34} - 21 q^{35} - 10 q^{36} - 13 q^{37} - 19 q^{38} - 3 q^{39} + 7 q^{40} + 8 q^{41} + 61 q^{42} - 24 q^{43} + 98 q^{45} + 21 q^{46} + 40 q^{47} + 2 q^{48} - 43 q^{49} - 50 q^{50} + 36 q^{51} + 18 q^{52} + 10 q^{53} + 4 q^{54} + 49 q^{55} + q^{56} + 19 q^{57} + 24 q^{58} + 13 q^{59} + 7 q^{60} + 27 q^{61} - 11 q^{62} + 41 q^{63} - 3 q^{64} - 21 q^{66} - 86 q^{67} - 34 q^{68} - 91 q^{69} - 14 q^{70} + 3 q^{72} + 5 q^{73} + 13 q^{74} - 3 q^{75} - 2 q^{76} - 14 q^{77} + 38 q^{78} - 66 q^{79} - 2 q^{81} - 8 q^{82} + 55 q^{83} + 23 q^{84} - 49 q^{85} - 18 q^{86} - 110 q^{87} + 62 q^{89} + 21 q^{90} + 39 q^{91} - 21 q^{92} + 46 q^{93} + 23 q^{94} - 7 q^{95} - 2 q^{96} - 32 q^{97} - 48 q^{98} + 14 q^{99}+O(q^{100}) \) 18 * q + 3 * q^2 - 5 * q^3 - 3 * q^4 + 5 * q^6 - q^7 + 3 * q^8 - 10 * q^9 + 7 * q^11 + 2 * q^12 - 10 * q^13 + q^14 + 7 * q^15 - 3 * q^16 + q^17 - 32 * q^18 - 44 * q^19 + 7 * q^20 - 5 * q^21 + 7 * q^22 + 21 * q^23 - 2 * q^24 + q^25 + 3 * q^26 + 10 * q^27 - 8 * q^28 + 11 * q^29 - 24 * q^31 + 3 * q^32 - 14 * q^33 - q^34 - 21 * q^35 - 10 * q^36 - 13 * q^37 - 19 * q^38 - 3 * q^39 + 7 * q^40 + 8 * q^41 + 61 * q^42 - 24 * q^43 + 98 * q^45 + 21 * q^46 + 40 * q^47 + 2 * q^48 - 43 * q^49 - 50 * q^50 + 36 * q^51 + 18 * q^52 + 10 * q^53 + 4 * q^54 + 49 * q^55 + q^56 + 19 * q^57 + 24 * q^58 + 13 * q^59 + 7 * q^60 + 27 * q^61 - 11 * q^62 + 41 * q^63 - 3 * q^64 - 21 * q^66 - 86 * q^67 - 34 * q^68 - 91 * q^69 - 14 * q^70 + 3 * q^72 + 5 * q^73 + 13 * q^74 - 3 * q^75 - 2 * q^76 - 14 * q^77 + 38 * q^78 - 66 * q^79 - 2 * q^81 - 8 * q^82 + 55 * q^83 + 23 * q^84 - 49 * q^85 - 18 * q^86 - 110 * q^87 + 62 * q^89 + 21 * q^90 + 39 * q^91 - 21 * q^92 + 46 * q^93 + 23 * q^94 - 7 * q^95 - 2 * q^96 - 32 * q^97 - 48 * q^98 + 14 * q^99

Introduction

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