LMFDB - Embedded newform 98.2.e.b.85.1

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			85.1
Root			$3.48640i$ of defining polynomial
Character	$\chi$	$=$	98.85
Dual form			98.2.e.b.15.1

$q$-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 $\left(\mathbb{Z}/98\mathbb{Z}\right)^\times$.

$n$	$3$
$\chi(n)$	$e\left(\frac{2}{7}\right)$

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	−0.913635	−	0.406536i	$-0.866737\pi$
$3$	−1.91682	−	2.40361i	−1.10668	−	1.38773i	−0.193040	−	0.981191i	$-0.561835\pi$
$4$	−0.900969	+	0.433884i	−0.450484	+	0.216942i
$5$	−1.88629	−	2.36534i	−0.843576	−	1.05781i	−0.997565	−	0.0697386i	$-0.977783\pi$
$5$	−1.88629	−	2.36534i	−0.843576	−	1.05781i	0.153989	−	0.988073i	$-0.450788\pi$
$6$	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	−0.969110	−	0.246630i	$-0.920677\pi$
$11$	−0.673210	−	2.94953i	−0.202981	−	0.889316i	0.766129	−	0.642687i	$-0.222180\pi$
$12$	2.76988	+	1.33390i	0.799596	+	0.385065i
$13$	0.532118	+	2.33136i	0.147583	+	0.646603i	0.993553	+	0.113372i	$0.0361653\pi$
$13$	0.532118	+	2.33136i	0.147583	+	0.646603i	−0.845970	+	0.533231i	$0.820978\pi$
$14$	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	0.502818	−	0.864393i	$-0.332297\pi$
$17$	0.579338	+	0.278994i	0.140510	+	0.0676661i	−0.362308	+	0.932059i	$0.618011\pi$
$18$	−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	0.795694	−	0.605699i	$-0.207107\pi$
$23$	8.46635	−	4.07718i	1.76536	−	0.850150i	0.969662	−	0.244451i	$-0.0786078\pi$
$24$	−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	0.0416749	−	0.999131i	$-0.486731\pi$
$29$	−3.84228	−	1.85034i	−0.713493	−	0.343600i	−0.755168	+	0.655531i	$0.772445\pi$
$30$	−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	0.844212	−	0.536009i	$-0.180069\pi$
$37$	5.78775	+	2.78724i	0.951501	+	0.458219i	0.107289	+	0.994228i	$0.465783\pi$
$38$	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	0.872346	−	0.488889i	$-0.162598\pi$
$41$	1.29087	+	1.61870i	0.201600	+	0.252798i	−0.670747	+	0.741687i	$0.734026\pi$
$42$	1.37606	−	8.01669i	0.212330	−	1.23700i
$43$	0.845798	−	1.06060i	0.128983	−	0.161740i	−0.713146	−	0.701015i	$-0.752730\pi$
$43$	0.845798	−	1.06060i	0.128983	−	0.161740i	0.842129	+	0.539276i	$0.181302\pi$
$44$	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	0.954802	−	0.297243i	$-0.0960671\pi$
$47$	−0.235928	−	1.03367i	−0.0344137	−	0.150776i	−0.989216	+	0.146467i	$0.953210\pi$
$48$	−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	−0.700775	−	0.713382i	$-0.747162\pi$
$53$	−4.22215	+	2.03328i	−0.579957	+	0.279293i	0.120818	+	0.992675i	$0.461448\pi$
$54$	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	−0.637655	−	0.770322i	$-0.720095\pi$
$59$	1.96057	−	2.45848i	0.255245	−	0.320067i	0.892900	+	0.450255i	$0.148667\pi$
$60$	−2.06968	−	9.06784i	−0.267194	−	1.17065i
$61$	4.86234	+	2.34158i	0.622559	+	0.299809i	0.718445	−	0.695584i	$-0.244854\pi$
$61$	4.86234	+	2.34158i	0.622559	+	0.299809i	−0.0958862	+	0.995392i	$0.530568\pi$
$62$	−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	−0.992301	−	0.123849i	$-0.960476\pi$
$71$	−12.7586	+	6.14419i	−1.51416	+	0.729182i	−0.521860	+	0.853031i	$0.674762\pi$
$72$	5.81264	−	2.79922i	0.685027	−	0.329891i
$73$	−0.925455	+	4.05468i	−0.108316	+	0.474565i	0.891454	+	0.453112i	$0.149686\pi$
$73$	−0.925455	+	4.05468i	−0.108316	+	0.474565i	−0.999770	+	0.0214527i	$0.993171\pi$
$74$	−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	0.792350	+	0.610067i	$0.208857\pi$
$83$	−1.69664	+	7.43348i	−0.186231	+	0.815930i	−0.978581	+	0.205864i	$0.934000\pi$
$84$	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	−0.987032	−	0.160521i	$-0.948683\pi$
$89$	−0.265089	+	1.16143i	−0.0280994	+	0.123112i	0.958933	+	0.283633i	$0.0915396\pi$
$90$	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	0.992407	+	0.123000i	$0.0392517\pi$
$101$	8.95938	+	11.2347i	0.891492	+	1.11790i	−0.100915	+	0.994895i	$0.532177\pi$
$102$	1.78108	−	0.857722i	0.176353	−	0.0849272i
$103$	−10.1830	−	12.7691i	−1.00336	−	1.25817i	−0.965911	−	0.258876i	$-0.916648\pi$
$103$	−10.1830	−	12.7691i	−1.00336	−	1.25817i	−0.0374497	−	0.999299i	$-0.511923\pi$
$104$	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	0.397039	+	0.917802i	$0.370038\pi$
$107$	−3.71249	+	16.2655i	−0.358900	+	1.57244i	−0.755939	+	0.654642i	$0.772820\pi$
$108$	−6.61599	+	8.29618i	−0.636624	+	0.798301i
$109$	−0.370529	−	1.62339i	−0.0354902	−	0.155493i	0.954078	−	0.299559i	$-0.0968394\pi$
$109$	−0.370529	−	1.62339i	−0.0354902	−	0.155493i	−0.989568	+	0.144066i	$0.953982\pi$
$110$	−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	−0.780812	−	0.624767i	$-0.785194\pi$
$113$	2.05961	−	9.02372i	0.193751	−	0.848880i	0.974563	−	0.224114i	$-0.0719487\pi$
$114$	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	0.884410	−	0.466710i	$-0.154561\pi$
$127$	12.0689	+	5.81208i	1.07094	+	0.515739i	0.186532	+	0.982449i	$0.440275\pi$
$128$	−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	0.116503	−	0.993190i	$-0.462831\pi$
$131$	12.1193	−	15.1971i	1.05887	−	1.32778i	0.942364	−	0.334588i	$-0.108597\pi$
$132$	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	−0.526092	−	0.850428i	$-0.676343\pi$
$137$	4.91692	−	6.16562i	0.420081	−	0.526764i	0.946172	+	0.323663i	$0.104915\pi$
$138$	6.42848	−	28.1650i	0.547229	−	2.39757i
$139$	−0.182803	−	0.229228i	−0.0155052	−	0.0194428i	0.774018	−	0.633163i	$-0.218244\pi$
$139$	−0.182803	−	0.229228i	−0.0155052	−	0.0194428i	−0.789524	+	0.613720i	$0.789672\pi$
$140$	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	0.997522	+	0.0703492i	$0.0224114\pi$
$149$	1.57842	+	6.91551i	0.129309	+	0.566540i	−0.868213	+	0.496191i	$0.834732\pi$
$150$	7.96040	+	9.98203i	0.649964	+	0.815029i
$151$	−10.6287	+	5.11852i	−0.864953	+	0.416539i	−0.813106	−	0.582116i	$-0.802225\pi$
$151$	−10.6287	+	5.11852i	−0.864953	+	0.416539i	−0.0518469	+	0.998655i	$0.516511\pi$
$152$	−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	−0.992754	−	0.120164i	$-0.961658\pi$
$157$	−8.20330	+	10.2866i	−0.654695	+	0.820961i	0.338059	+	0.941125i	$0.390230\pi$
$158$	−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	−0.337861	−	0.941196i	$-0.609703\pi$
$163$	8.36144	−	10.4849i	0.654918	−	0.821241i	0.992779	+	0.119954i	$0.0382749\pi$
$164$	−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	0.734179	−	0.678956i	$-0.237567\pi$
$167$	8.54332	+	4.11425i	0.661102	+	0.318370i	−0.0730766	+	0.997326i	$0.523282\pi$
$168$	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	−0.397489	−	0.917607i	$-0.630118\pi$
$173$	0.948259	−	0.456658i	0.0720948	−	0.0347190i	0.469584	+	0.882888i	$0.344404\pi$
$174$	−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	0.744350	−	0.667789i	$-0.232759\pi$
$179$	9.18269	+	4.42215i	0.686347	+	0.330527i	−0.0580037	+	0.998316i	$0.518474\pi$
$180$	−12.1695	+	15.2601i	−0.907062	+	1.13742i
$181$	−3.08835	+	13.5309i	−0.229555	+	1.00575i	0.720449	+	0.693508i	$0.243936\pi$
$181$	−3.08835	+	13.5309i	−0.229555	+	1.00575i	−0.950004	+	0.312238i	$0.898921\pi$
$182$	−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	0.909988	−	0.414635i	$-0.136091\pi$
$191$	4.19109	+	5.25546i	0.303257	+	0.380272i	−0.606731	+	0.794907i	$0.707519\pi$
$192$	2.76988	−	1.33390i	0.199899	−	0.0962663i
$193$	−1.44686	−	1.81431i	−0.104147	−	0.130597i	0.727026	−	0.686610i	$-0.240902\pi$
$193$	−1.44686	−	1.81431i	−0.104147	−	0.130597i	−0.831174	+	0.556013i	$0.812330\pi$
$194$	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	0.487665	−	0.873031i	$-0.337849\pi$
$199$	−6.65827	−	8.34921i	−0.471992	−	0.591860i	−0.959658	+	0.281171i	$0.909277\pi$
$200$	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	−0.741172	−	0.671315i	$-0.765730\pi$
$211$	3.16480	−	13.8659i	0.217874	−	0.954566i	0.959046	−	0.283251i	$-0.0914131\pi$
$212$	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	−0.117894	−	0.993026i	$-0.537614\pi$
$223$	8.73560	−	4.20684i	0.584979	−	0.281711i	0.702873	+	0.711315i	$0.251900\pi$
$224$	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	−0.770428	−	0.637526i	$-0.779958\pi$
$229$	0.341248	−	0.427912i	0.0225503	−	0.0282772i	0.792979	+	0.609249i	$0.208529\pi$
$230$	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	0.223029	−	0.974812i	$-0.428406\pi$
$233$	−6.10655	−	2.94076i	−0.400053	−	0.192656i	−0.623082	+	0.782156i	$0.714120\pi$
$234$	−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	−0.899834	−	0.436232i	$-0.856313\pi$
$239$	−4.24070	+	5.31767i	−0.274308	+	0.343971i	0.625526	+	0.780203i	$0.284884\pi$
$240$	5.79910	+	7.27184i	0.374330	+	0.469396i
$241$	−23.4832	+	11.3089i	−1.51269	+	0.728471i	−0.992113	−	0.125347i	$-0.959996\pi$
$241$	−23.4832	+	11.3089i	−1.51269	+	0.728471i	−0.520572	+	0.853818i	$0.674281\pi$
$242$	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	−0.0753889	+	0.997154i	$0.524020\pi$
$251$	−16.3304	+	20.4777i	−1.03077	+	1.29254i	−0.955378	+	0.295386i	$0.904552\pi$
$252$	−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	0.0173758	−	0.999849i	$-0.494469\pi$
$257$	−12.0796	−	5.81722i	−0.753504	−	0.362868i	−0.770880	+	0.636981i	$0.780183\pi$
$258$	−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	−0.827423	−	0.561579i	$-0.810194\pi$
$269$	2.65240	−	11.6209i	0.161720	−	0.708540i	0.989142	−	0.146960i	$-0.0469489\pi$
$270$	7.14358	−	31.2981i	0.434745	−	1.90474i
$271$	−22.4071	+	10.7907i	−1.36114	+	0.655489i	−0.964890	−	0.262656i	$-0.915402\pi$
$271$	−22.4071	+	10.7907i	−1.36114	+	0.655489i	−0.396246	+	0.918144i	$0.629687\pi$
$272$	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	−0.512875	−	0.858464i	$-0.671419\pi$
$277$	−25.0286	−	12.0531i	−1.50382	−	0.724202i	−0.990946	+	0.134262i	$0.957134\pi$
$278$	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	0.564600	+	0.825365i	$0.309031\pi$
$281$	6.94033	+	30.4076i	0.414025	+	1.81396i	−0.150574	+	0.988599i	$0.548112\pi$
$282$	−2.93677	−	1.41427i	−0.174882	−	0.0842188i
$283$	4.22408	+	18.5069i	0.251096	+	1.10012i	0.930481	+	0.366340i	$0.119389\pi$
$283$	4.22408	+	18.5069i	0.251096	+	1.10012i	−0.679385	+	0.733782i	$0.737754\pi$
$284$	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	−0.913029	−	0.407895i	$-0.866263\pi$
$307$	−4.68518	−	20.5271i	−0.267397	−	1.17154i	0.645632	−	0.763649i	$-0.276594\pi$
$308$	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	0.709789	−	0.704414i	$-0.248790\pi$
$311$	10.6094	+	5.10920i	0.601602	+	0.289716i	−0.108187	+	0.994131i	$0.534504\pi$
$312$	−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	−0.990709	−	0.135997i	$-0.956576\pi$
$317$	−26.7438	+	12.8791i	−1.50208	+	0.723363i	−0.511370	+	0.859360i	$0.670862\pi$
$318$	−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	0.454100	−	0.890951i	$-0.349961\pi$
$331$	0.739639	+	0.356191i	0.0406542	+	0.0195780i	−0.413446	+	0.910529i	$0.635675\pi$
$332$	−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	−0.716815	−	0.697263i	$-0.754401\pi$
$337$	2.24830	−	2.81928i	0.122473	−	0.153576i	0.839288	+	0.543687i	$0.182972\pi$
$338$	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	0.0112956	−	0.999936i	$-0.496404\pi$
$347$	14.9046	−	7.17767i	0.800120	−	0.385317i	0.788824	+	0.614619i	$0.210690\pi$
$348$	−8.17448	−	10.2505i	−0.438198	−	0.549483i
$349$	1.47185	−	1.84565i	0.0787865	−	0.0987951i	−0.740876	−	0.671642i	$-0.765589\pi$
$349$	1.47185	−	1.84565i	0.0787865	−	0.0987951i	0.819663	+	0.572847i	$0.194161\pi$
$350$	−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	−0.840831	−	0.541297i	$-0.817933\pi$
$353$	−2.36737	+	2.96859i	−0.126003	+	0.158002i	0.714829	+	0.699300i	$0.246505\pi$
$354$	−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	0.0685967	+	0.997644i	$0.478148\pi$
$359$	−17.4182	+	21.8418i	−0.919299	+	1.15276i	−0.987896	+	0.155120i	$0.950424\pi$
$360$	−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	−0.385264	−	0.922807i	$-0.625890\pi$
$367$	6.93948	−	30.4038i	0.362238	−	1.58707i	0.747501	−	0.664260i	$-0.231253\pi$
$368$	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	−0.805375	−	0.592766i	$-0.798036\pi$
$379$	−6.55969	−	28.7399i	−0.336949	−	1.47627i	0.468426	−	0.883503i	$-0.344821\pi$
$380$	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	−0.785091	−	0.619380i	$-0.787384\pi$
$383$	3.73776	−	16.3762i	0.190991	−	0.836784i	0.976082	−	0.217404i	$-0.0697589\pi$
$384$	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	0.564036	−	0.825750i	$-0.309248\pi$
$389$	−7.22891	−	9.06477i	−0.366520	−	0.459602i	−0.930557	+	0.366148i	$0.880676\pi$
$390$	−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	0.948132	−	0.317875i	$-0.102969\pi$
$397$	8.51285	+	10.6748i	0.427247	+	0.535751i	−0.520885	+	0.853627i	$0.674398\pi$
$398$	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	0.862377	+	0.506267i	$0.168975\pi$
$401$	−2.68854	+	11.7792i	−0.134259	+	0.588228i	−0.996636	+	0.0819601i	$0.973882\pi$
$402$	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	0.900257	−	0.435358i	$-0.143378\pi$
$409$	22.6745	+	10.9195i	1.12118	+	0.539933i	0.220924	+	0.975291i	$0.429093\pi$
$410$	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	−0.842883	−	0.538097i	$-0.819143\pi$
$419$	−19.3992	+	9.34214i	−0.947711	+	0.456393i	−0.104828	+	0.994490i	$0.533429\pi$
$420$	−16.3665	−	18.3767i	−0.798605	−	0.896690i
$421$	25.2231	+	12.1468i	1.22930	+	0.591998i	0.931886	−	0.362751i	$-0.118163\pi$
$421$	25.2231	+	12.1468i	1.22930	+	0.591998i	0.297411	+	0.954750i	$0.403877\pi$
$422$	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	−0.972895	−	0.231247i	$-0.925719\pi$
$431$	−11.0229	+	13.8223i	−0.530956	+	0.665798i	0.441939	+	0.897045i	$0.354291\pi$
$432$	2.36122	−	10.3452i	0.113604	−	0.497732i
$433$	−0.735843	−	0.922718i	−0.0353624	−	0.0443430i	0.763836	−	0.645411i	$-0.223314\pi$
$433$	−0.735843	−	0.922718i	−0.0353624	−	0.0443430i	−0.799198	+	0.601068i	$0.794742\pi$
$434$	−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	0.952276	+	0.305238i	$0.0987359\pi$
$439$	4.75079	+	20.8146i	0.226743	+	0.993424i	−0.725534	+	0.688187i	$0.758407\pi$
$440$	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	0.908673	−	0.417507i	$-0.137096\pi$
$443$	−1.91875	−	8.40661i	−0.0911627	−	0.399410i	−0.999836	+	0.0180974i	$0.994239\pi$
$444$	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	0.964587	−	0.263765i	$-0.0849644\pi$
$449$	10.4421	+	13.0940i	0.492794	+	0.617944i	−0.471793	+	0.881710i	$0.656393\pi$
$450$	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	−0.651076	−	0.759013i	$-0.725682\pi$
$457$	4.99775	−	6.26698i	0.233785	−	0.293157i	0.884861	+	0.465856i	$0.154253\pi$
$458$	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	0.0133316	−	0.999911i	$-0.495756\pi$
$461$	−16.3204	−	7.85951i	−0.760118	−	0.366054i	−0.773450	+	0.633857i	$0.781471\pi$
$462$	−24.5718	+	1.33820i	−1.14318	+	0.0622589i
$463$	−4.79374	+	2.30855i	−0.222784	+	0.107287i	−0.541947	−	0.840413i	$-0.682313\pi$
$463$	−4.79374	+	2.30855i	−0.222784	+	0.107287i	0.319163	+	0.947700i	$0.396598\pi$
$464$	−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	0.426043	−	0.904703i	$-0.359907\pi$
$467$	30.2327	−	14.5593i	1.39900	−	0.673724i	0.972959	+	0.230979i	$0.0741928\pi$
$468$	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	0.985906	+	0.167302i	$0.0535054\pi$
$479$	3.72555	+	16.3227i	0.170225	+	0.745804i	−0.815681	+	0.578502i	$0.803637\pi$
$480$	−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	0.999688	−	0.0249638i	$-0.00794704\pi$
$487$	16.6150	+	20.8346i	0.752899	+	0.944105i	−0.246789	+	0.969069i	$0.579376\pi$
$488$	−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	−0.895454	−	0.445155i	$-0.853149\pi$
$499$	2.33363	−	10.2243i	0.104468	−	0.457702i	0.999921	−	0.0125476i	$-0.00399412\pi$
$500$	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	0.977303	−	0.211846i	$-0.0679477\pi$
$503$	0.109148	+	0.478210i	0.00486668	+	0.0213223i	−0.972436	+	0.233169i	$0.925091\pi$
$504$	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	−0.286549	+	0.958066i	$0.592508\pi$
$523$	−26.4558	+	33.1745i	−1.15683	+	1.45062i	−0.870282	+	0.492554i	$0.836063\pi$
$524$	−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	0.933950	−	0.357405i	$-0.116338\pi$
$541$	−1.45562	−	6.37750i	−0.0625821	−	0.274190i	−0.996532	+	0.0832148i	$0.973481\pi$
$542$	−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	0.963275	−	0.268517i	$-0.0865336\pi$
$547$	11.3933	+	14.2867i	0.487141	+	0.610856i	−0.476134	+	0.879373i	$0.657962\pi$
$548$	−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	−0.995554	−	0.0941881i	$-0.969974\pi$
$563$	−1.36966	+	6.00086i	−0.0577242	+	0.252906i	0.937830	+	0.347094i	$0.112832\pi$
$564$	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	0.955591	−	0.294696i	$-0.0952185\pi$
$571$	31.5658	+	15.2013i	1.32099	+	0.636155i	0.365398	+	0.930851i	$0.380933\pi$
$572$	−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	0.833219	+	0.552943i	$0.186495\pi$
$577$	7.74498	+	33.9330i	0.322428	+	1.41265i	−0.510791	+	0.859705i	$0.670648\pi$
$578$	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	0.898212	−	0.439563i	$-0.144867\pi$
$593$	6.57004	+	8.23857i	0.269799	+	0.338317i	−0.628413	+	0.777880i	$0.716295\pi$
$594$	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	0.989024	−	0.147756i	$-0.0472050\pi$
$599$	0.828100	+	3.62814i	0.0338352	+	0.148242i	−0.955189	+	0.295998i	$0.904348\pi$
$600$	−11.5031	−	5.53961i	−0.469613	−	0.226154i
$601$	−0.0432317	−	0.189411i	−0.00176346	−	0.00772622i	0.974039	−	0.226382i	$-0.0726899\pi$
$601$	−0.0432317	−	0.189411i	−0.00176346	−	0.00772622i	−0.975802	+	0.218656i	$0.929833\pi$
$602$	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	0.865903	+	0.500211i	$0.166744\pi$
$613$	−3.25039	+	14.2409i	−0.131282	+	0.575185i	−0.997186	+	0.0749735i	$0.976113\pi$
$614$	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	0.209584	−	0.977791i	$-0.432789\pi$
$617$	−10.5371	−	5.07442i	−0.424209	−	0.204288i	−0.633794	+	0.773502i	$0.718503\pi$
$618$	−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	−0.917410	−	0.397944i	$-0.869724\pi$
$631$	−8.17143	+	10.2467i	−0.325300	+	0.407913i	0.592110	+	0.805857i	$0.298295\pi$
$632$	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	−0.217370	−	0.976089i	$-0.569748\pi$
$641$	10.3864	−	5.00184i	0.410239	−	0.197561i	0.627609	+	0.778528i	$0.284034\pi$
$642$	31.9798	+	40.1013i	1.26214	+	1.58267i
$643$	−14.3138	+	17.9489i	−0.564481	+	0.707836i	−0.979379	−	0.202031i	$-0.935246\pi$
$643$	−14.3138	+	17.9489i	−0.564481	+	0.707836i	0.414898	+	0.909868i	$0.363817\pi$
$644$	−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	−0.748924	−	0.662656i	$-0.769429\pi$
$647$	1.62204	−	2.03397i	0.0637689	−	0.0799636i	0.812693	+	0.582692i	$0.198001\pi$
$648$	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	−0.131928	−	0.991259i	$-0.542117\pi$
$653$	22.0743	−	27.6803i	0.863835	−	1.08321i	0.995763	−	0.0919555i	$-0.0293117\pi$
$654$	−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	0.112719	−	0.993627i	$-0.464044\pi$
$659$	24.6402	−	11.8661i	0.959847	−	0.462238i	0.847128	+	0.531389i	$0.178330\pi$
$660$	−25.3525	+	12.2091i	−0.986846	+	0.475240i
$661$	−0.769109	+	3.36968i	−0.0299149	+	0.131066i	−0.987680	−	0.156485i	$-0.949984\pi$
$661$	−0.769109	+	3.36968i	−0.0299149	+	0.131066i	0.957765	+	0.287550i	$0.0928409\pi$
$662$	−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	0.979843	+	0.199769i	$0.0640192\pi$
$673$	4.76589	+	20.8807i	0.183712	+	0.804893i	−0.796131	+	0.605124i	$0.793124\pi$
$674$	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	−0.830728	−	0.556679i	$-0.812076\pi$
$677$	4.14397	−	18.1559i	0.159266	−	0.697789i	0.989994	−	0.141111i	$-0.0450673\pi$
$678$	−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	0.701944	−	0.712232i	$-0.252316\pi$
$683$	−3.88430	−	4.87076i	−0.148629	−	0.186374i	−0.850572	+	0.525858i	$0.823744\pi$
$684$	−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	0.440196	−	0.897902i	$-0.354909\pi$
$691$	−14.0148	−	17.5739i	−0.533146	−	0.668544i	−0.973342	+	0.229357i	$0.926338\pi$
$692$	−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	−0.760037	−	0.649880i	$-0.774819\pi$
$701$	5.47281	−	23.9779i	0.206705	−	0.905634i	0.966742	−	0.255754i	$-0.0823237\pi$
$702$	−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	−0.503605	−	0.863934i	$-0.667993\pi$
$709$	−3.78492	+	1.82272i	−0.142146	+	0.0684538i	0.361459	+	0.932388i	$0.382279\pi$
$710$	−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	0.141467	−	0.989943i	$-0.454818\pi$
$719$	28.8282	−	36.1494i	1.07511	−	1.34815i	0.933644	−	0.358203i	$-0.116610\pi$
$720$	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	0.788053	−	0.615607i	$-0.211089\pi$
$727$	0.337641	+	0.423389i	0.0125224	+	0.0157026i	−0.775531	+	0.631310i	$0.782518\pi$
$728$	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	−0.995797	−	0.0915886i	$-0.970806\pi$
$733$	−3.74578	−	16.4114i	−0.138354	−	0.606167i	0.857443	−	0.514579i	$-0.172052\pi$
$734$	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	−0.199414	−	0.979915i	$-0.563904\pi$
$739$	12.0260	−	5.79140i	0.442382	−	0.213040i	0.641796	+	0.766875i	$0.278189\pi$
$740$	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	−0.986298	−	0.164973i	$-0.947246\pi$
$743$	−25.2863	−	31.7080i	−0.927663	−	1.16325i	0.0586353	−	0.998279i	$-0.481325\pi$
$744$	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	−0.967222	−	0.253931i	$-0.918276\pi$
$751$	−13.8236	+	17.3343i	−0.504431	+	0.632536i	0.462792	+	0.886467i	$0.346848\pi$
$752$	−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	−0.708948	−	0.705260i	$-0.750830\pi$
$757$	−16.4965	+	7.94430i	−0.599576	+	0.288740i	0.109373	+	0.994001i	$0.465116\pi$
$758$	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	−0.813089	−	0.582139i	$-0.802216\pi$
$761$	−23.8595	+	11.4902i	−0.864908	+	0.416518i	−0.0518185	+	0.998657i	$0.516502\pi$
$762$	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	−0.218960	−	0.975734i	$-0.570266\pi$
$769$	11.1387	−	48.8018i	0.401671	−	1.75984i	0.620631	−	0.784103i	$-0.286877\pi$
$770$	−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	0.998592	−	0.0530541i	$-0.0168956\pi$
$773$	2.10947	+	9.24219i	0.0758723	+	0.332418i	−0.922719	+	0.385473i	$0.874038\pi$
$774$	−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	−0.976433	−	0.215820i	$-0.930758\pi$
$787$	−27.1997	−	34.1074i	−0.969565	−	1.21580i	0.00686820	−	0.999976i	$-0.497814\pi$
$788$	−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	0.994214	−	0.107414i	$-0.0342572\pi$
$797$	1.46387	+	6.41362i	0.0518528	+	0.227182i	−0.942362	+	0.334596i	$0.891400\pi$
$798$	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	0.616851	+	0.787080i	$0.288408\pi$
$809$	−7.97579	+	34.9442i	−0.280414	+	1.22857i	−0.897265	+	0.441493i	$0.854449\pi$
$810$	−36.1651	+	17.4162i	−1.27071	+	0.611942i
$811$	−23.6835	+	11.4054i	−0.831642	+	0.400498i	−0.800731	−	0.599025i	$-0.795555\pi$
$811$	−23.6835	+	11.4054i	−0.831642	+	0.400498i	−0.0309111	+	0.999522i	$0.509841\pi$
$812$	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	−0.206784	−	0.978387i	$-0.566300\pi$
$821$	−31.5369	−	15.1874i	−1.10065	−	0.530043i	−0.893861	+	0.448344i	$0.852014\pi$
$822$	−5.39493	−	23.6367i	−0.188170	−	0.824426i
$823$	16.8693	−	21.1534i	0.588026	−	0.737361i	−0.395433	−	0.918495i	$-0.629405\pi$
$823$	16.8693	−	21.1534i	0.588026	−	0.737361i	0.983458	+	0.181134i	$0.0579767\pi$
$824$	−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	−0.995461	−	0.0951686i	$-0.969661\pi$
$827$	−19.5888	+	24.5635i	−0.681168	+	0.854157i	0.314293	+	0.949326i	$0.398232\pi$
$828$	−37.7989	−	47.3984i	−1.31360	−	1.64721i
$829$	17.2214	−	8.29339i	0.598124	−	0.288041i	−0.110222	−	0.993907i	$-0.535156\pi$
$829$	17.2214	−	8.29339i	0.598124	−	0.288041i	0.708346	+	0.705866i	$0.249442\pi$
$830$	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	−0.649952	−	0.759975i	$-0.725211\pi$
$839$	6.82417	−	8.55724i	0.235597	−	0.295429i	0.885549	+	0.464546i	$0.153783\pi$
$840$	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	0.992023	−	0.126056i	$-0.0402318\pi$
$853$	44.1593	+	21.2660i	1.51199	+	0.728134i	0.519962	+	0.854189i	$0.325946\pi$
$854$	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	−0.915283	−	0.402811i	$-0.868033\pi$
$857$	2.46292	−	10.7908i	0.0841317	−	0.368605i	0.999415	+	0.0342061i	$0.0108903\pi$
$858$	4.94925	−	21.6841i	0.168965	−	0.740282i
$859$	13.3149	−	6.41211i	0.454298	−	0.218778i	−0.192719	−	0.981254i	$-0.561731\pi$
$859$	13.3149	−	6.41211i	0.454298	−	0.218778i	0.647017	+	0.762476i	$0.276016\pi$
$860$	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	0.961801	+	0.273749i	$0.0882639\pi$
$877$	30.0485	+	37.6796i	1.01467	+	1.27235i	0.0528650	+	0.998602i	$0.483165\pi$
$878$	−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	0.963182	−	0.268849i	$-0.0866433\pi$
$887$	14.4965	+	18.1781i	0.486746	+	0.610360i	−0.476437	+	0.879209i	$0.658072\pi$
$888$	−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	0.873339	+	0.487112i	$0.161950\pi$
$907$	−3.76041	+	16.4754i	−0.124862	+	0.547057i	−0.998202	+	0.0599450i	$0.980907\pi$
$908$	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	−0.458688	−	0.888597i	$-0.651680\pi$
$911$	−43.4454	−	20.9222i	−1.43941	−	0.693183i	−0.980721	+	0.195415i	$0.937395\pi$
$912$	−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	0.583418	−	0.812172i	$-0.301715\pi$
$919$	9.46409	+	4.55767i	0.312192	+	0.150344i	−0.271226	+	0.962516i	$0.587429\pi$
$920$	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	−0.924712	−	0.380668i	$-0.875694\pi$
$929$	−7.82533	−	34.2850i	−0.256741	−	1.12485i	0.667971	−	0.744187i	$-0.267163\pi$
$930$	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	−0.447036	−	0.894516i	$-0.647520\pi$
$937$	16.0560	−	20.1336i	0.524527	−	0.657736i	0.971563	+	0.236779i	$0.0760919\pi$
$938$	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	−0.792278	−	0.610160i	$-0.791105\pi$
$941$	−0.647819	+	0.812339i	−0.0211183	+	0.0264815i	0.771160	+	0.636641i	$0.219677\pi$
$942$	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	−0.996473	−	0.0839185i	$-0.973256\pi$
$947$	−21.3235	+	26.7389i	−0.692922	+	0.868897i	0.303551	+	0.952815i	$0.401828\pi$
$948$	−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	−0.0910396	−	0.995847i	$-0.529019\pi$
$953$	19.4727	−	9.37756i	0.630783	−	0.303769i	0.721822	+	0.692078i	$0.243305\pi$
$954$	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	0.954790	+	0.297282i	$0.0960802\pi$
$967$	6.95133	+	30.4558i	0.223540	+	0.979392i	−0.731250	+	0.682110i	$0.761063\pi$
$968$	−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	−0.996164	−	0.0875019i	$-0.972112\pi$
$971$	−1.89102	+	8.28509i	−0.0606857	+	0.265881i	0.935479	+	0.353383i	$0.114969\pi$
$972$	−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	0.803062	−	0.595895i	$-0.203203\pi$
$977$	1.35686	+	1.70145i	0.0434097	+	0.0544341i	−0.759653	+	0.650329i	$0.774631\pi$
$978$	−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	0.429304	−	0.903160i	$-0.358759\pi$
$983$	−17.1419	−	21.4952i	−0.546741	−	0.685591i	−0.976045	+	0.217569i	$0.930187\pi$
$984$	−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	0.977109	−	0.212738i	$-0.0682380\pi$
$991$	0.140427	+	0.615250i	0.00446080	+	0.0195440i	−0.972649	+	0.232282i	$0.925381\pi$
$992$	−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	0.118005	−	0.993013i	$-0.462350\pi$
$997$	−18.4649	−	8.89223i	−0.584789	−	0.281620i	−0.702794	+	0.711393i	$0.748064\pi$
$998$	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.85.1	yes	18
3.2	odd	2		882.2.u.g.379.3		18
4.3	odd	2		784.2.u.d.673.3		18
7.2	even	3		686.2.g.h.655.3		36
7.3	odd	6		686.2.g.g.471.3		36
7.4	even	3		686.2.g.h.471.1		36
7.5	odd	6		686.2.g.g.655.1		36
7.6	odd	2		686.2.e.b.589.3		18
49.8	even	7		4802.2.a.d.1.1		9
49.9	even	21		686.2.g.h.67.1		36
49.15	even	7	inner	98.2.e.b.15.1	✓	18
49.24	odd	42		686.2.g.g.177.1		36
49.25	even	21		686.2.g.h.177.3		36
49.34	odd	14		686.2.e.b.99.3		18
49.40	odd	42		686.2.g.g.67.3		36
49.41	odd	14		4802.2.a.c.1.9		9
147.113	odd	14		882.2.u.g.505.3		18
196.15	odd	14		784.2.u.d.113.3		18

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
98.2.e.b.15.1	✓	18	49.15	even	7	inner
98.2.e.b.85.1	yes	18	1.1	even	1	trivial
686.2.e.b.99.3		18	49.34	odd	14
686.2.e.b.589.3		18	7.6	odd	2
686.2.g.g.67.3		36	49.40	odd	42
686.2.g.g.177.1		36	49.24	odd	42
686.2.g.g.471.3		36	7.3	odd	6
686.2.g.g.655.1		36	7.5	odd	6
686.2.g.h.67.1		36	49.9	even	21
686.2.g.h.177.3		36	49.25	even	21
686.2.g.h.471.1		36	7.4	even	3
686.2.g.h.655.3		36	7.2	even	3
784.2.u.d.113.3		18	196.15	odd	14
784.2.u.d.673.3		18	4.3	odd	2
882.2.u.g.379.3		18	3.2	odd	2
882.2.u.g.505.3		18	147.113	odd	14
4802.2.a.c.1.9		9	49.41	odd	14
4802.2.a.d.1.1		9	49.8	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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