LMFDB - Embedded newform 98.2.e.b.29.3

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			29.3
Root			$-2.27298i$ of defining polynomial
Character	$\chi$	$=$	98.29
Dual form			98.2.e.b.71.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.900969 + 0.433884i) q^{2} +(0.646154 + 2.83098i) q^{3} +(0.623490 + 0.781831i) q^{4} +(-0.790878 - 3.46506i) q^{5} +(-0.646154 + 2.83098i) q^{6} +(-1.76964 - 1.96682i) q^{7} +(0.222521 + 0.974928i) q^{8} +(-4.89405 + 2.35685i) q^{9} +O(q^{10})$	\(q+(0.900969 + 0.433884i) q^{2} +(0.646154 + 2.83098i) q^{3} +(0.623490 + 0.781831i) q^{4} +(-0.790878 - 3.46506i) q^{5} +(-0.646154 + 2.83098i) q^{6} +(-1.76964 - 1.96682i) q^{7} +(0.222521 + 0.974928i) q^{8} +(-4.89405 + 2.35685i) q^{9} +(0.790878 - 3.46506i) q^{10} +(3.20220 + 1.54210i) q^{11} +(-1.81048 + 2.27027i) q^{12} +(-1.94371 - 0.936042i) q^{13} +(-0.741024 - 2.53986i) q^{14} +(9.29851 - 4.47793i) q^{15} +(-0.222521 + 0.974928i) q^{16} +(0.710066 - 0.890394i) q^{17} -5.43198 q^{18} -0.898150 q^{19} +(2.21599 - 2.77877i) q^{20} +(4.42456 - 6.28070i) q^{21} +(2.21599 + 2.77877i) q^{22} +(1.90234 + 2.38546i) q^{23} +(-2.61622 + 1.25991i) q^{24} +(-6.87634 + 3.31147i) q^{25} +(-1.34509 - 1.68669i) q^{26} +(-4.40306 - 5.52127i) q^{27} +(0.434364 - 2.60985i) q^{28} +(-3.37795 + 4.23582i) q^{29} +10.3206 q^{30} -6.97425 q^{31} +(-0.623490 + 0.781831i) q^{32} +(-2.29654 + 10.0618i) q^{33} +(1.02607 - 0.494132i) q^{34} +(-5.41557 + 7.68744i) q^{35} +(-4.89405 - 2.35685i) q^{36} +(5.72402 - 7.17769i) q^{37} +(-0.809205 - 0.389693i) q^{38} +(1.39398 - 6.10744i) q^{39} +(3.20220 - 1.54210i) q^{40} +(0.336926 + 1.47617i) q^{41} +(6.71148 - 3.73897i) q^{42} +(1.58281 - 6.93476i) q^{43} +(0.790878 + 3.46506i) q^{44} +(12.0372 + 15.0942i) q^{45} +(0.678938 + 2.97462i) q^{46} +(3.92124 + 1.88837i) q^{47} -2.90379 q^{48} +(-0.736725 + 6.96112i) q^{49} -7.63216 q^{50} +(2.97950 + 1.43485i) q^{51} +(-0.480057 - 2.10327i) q^{52} +(-2.23275 - 2.79979i) q^{53} +(-1.57143 - 6.88491i) q^{54} +(2.81092 - 12.3154i) q^{55} +(1.52372 - 2.16293i) q^{56} +(-0.580343 - 2.54265i) q^{57} +(-4.88128 + 2.35070i) q^{58} +(-0.881392 + 3.86163i) q^{59} +(9.29851 + 4.47793i) q^{60} +(-6.17561 + 7.74397i) q^{61} +(-6.28358 - 3.02601i) q^{62} +(13.2962 + 5.45491i) q^{63} +(-0.900969 + 0.433884i) q^{64} +(-1.70621 + 7.47538i) q^{65} +(-6.43477 + 8.06895i) q^{66} -6.64593 q^{67} +1.13886 q^{68} +(-5.52399 + 6.92687i) q^{69} +(-8.21471 + 4.57642i) q^{70} +(8.69659 + 10.9052i) q^{71} +(-3.38679 - 4.24690i) q^{72} +(10.1903 - 4.90737i) q^{73} +(8.27144 - 3.98332i) q^{74} +(-13.8179 - 17.3271i) q^{75} +(-0.559987 - 0.702202i) q^{76} +(-2.63373 - 9.02710i) q^{77} +(3.90586 - 4.89779i) q^{78} -2.31107 q^{79} +3.55417 q^{80} +(2.62520 - 3.29190i) q^{81} +(-0.336926 + 1.47617i) q^{82} +(11.0508 - 5.32180i) q^{83} +(7.66911 - 0.456689i) q^{84} +(-3.64685 - 1.75623i) q^{85} +(4.43494 - 5.56124i) q^{86} +(-14.1742 - 6.82594i) q^{87} +(-0.790878 + 3.46506i) q^{88} +(8.86771 - 4.27047i) q^{89} +(4.29604 + 18.8222i) q^{90} +(1.59865 + 5.47938i) q^{91} +(-0.678938 + 2.97462i) q^{92} +(-4.50644 - 19.7440i) q^{93} +(2.71358 + 3.40273i) q^{94} +(0.710327 + 3.11215i) q^{95} +(-2.61622 - 1.25991i) q^{96} -2.24566 q^{97} +(-3.68408 + 5.95210i) q^{98} -19.3062 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 $\left(\mathbb{Z}/98\mathbb{Z}\right)^\times$.

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

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 $

$2$	0.900969	+	0.433884i	0.637081	+	0.306802i
$2$	0.900969	+	0.433884i	0.637081	+	0.306802i
$3$	0.646154	+	2.83098i	0.373057	+	1.63447i	0.718141	+	0.695898i	$0.244993\pi$
$3$	0.646154	+	2.83098i	0.373057	+	1.63447i	−0.345084	+	0.938572i	$0.612150\pi$
$4$	0.623490	+	0.781831i	0.311745	+	0.390916i
$5$	−0.790878	−	3.46506i	−0.353692	−	1.54962i	−0.768581	−	0.639752i	$-0.779037\pi$
$5$	−0.790878	−	3.46506i	−0.353692	−	1.54962i	0.414890	−	0.909872i	$-0.363820\pi$
$6$	−0.646154	+	2.83098i	−0.263791	+	1.15574i
$7$	−1.76964	−	1.96682i	−0.668862	−	0.743386i
$7$	−1.76964	−	1.96682i	−0.668862	−	0.743386i
$8$	0.222521	+	0.974928i	0.0786730	+	0.344689i
$9$	−4.89405	+	2.35685i	−1.63135	+	0.785616i
$10$	0.790878	−	3.46506i	0.250098	−	1.09575i
$11$	3.20220	+	1.54210i	0.965500	+	0.464960i	0.849094	−	0.528241i	$-0.177148\pi$
$11$	3.20220	+	1.54210i	0.965500	+	0.464960i	0.116406	+	0.993202i	$0.462863\pi$
$12$	−1.81048	+	2.27027i	−0.522641	+	0.655371i
$13$	−1.94371	−	0.936042i	−0.539089	−	0.259611i	0.144467	−	0.989510i	$-0.453853\pi$
$13$	−1.94371	−	0.936042i	−0.539089	−	0.259611i	−0.683556	+	0.729898i	$0.739567\pi$
$14$	−0.741024	−	2.53986i	−0.198047	−	0.678806i
$15$	9.29851	−	4.47793i	2.40087	−	1.15620i
$16$	−0.222521	+	0.974928i	−0.0556302	+	0.243732i
$17$	0.710066	−	0.890394i	0.172216	−	0.215952i	−0.688231	−	0.725491i	$-0.741613\pi$
$17$	0.710066	−	0.890394i	0.172216	−	0.215952i	0.860448	+	0.509539i	$0.170184\pi$
$18$	−5.43198			−1.28033
$19$	−0.898150			−0.206050			−0.103025	−	0.994679i	$-0.532852\pi$
$19$	−0.898150			−0.206050			−0.103025	+	0.994679i	$0.532852\pi$
$20$	2.21599	−	2.77877i	0.495511	−	0.621351i
$21$	4.42456	−	6.28070i	0.965518	−	1.37056i
$22$	2.21599	+	2.77877i	0.472451	+	0.592435i
$23$	1.90234	+	2.38546i	0.396665	+	0.497403i	0.939553	−	0.342402i	$-0.111241\pi$
$23$	1.90234	+	2.38546i	0.396665	+	0.497403i	−0.542888	+	0.839805i	$0.682669\pi$
$24$	−2.61622	+	1.25991i	−0.534034	+	0.257177i
$25$	−6.87634	+	3.31147i	−1.37527	+	0.662294i
$26$	−1.34509	−	1.68669i	−0.263794	−	0.330787i
$27$	−4.40306	−	5.52127i	−0.847370	−	1.06257i
$28$	0.434364	−	2.60985i	0.0820870	−	0.493216i
$29$	−3.37795	+	4.23582i	−0.627270	+	0.786571i	−0.989347	−	0.145577i	$-0.953496\pi$
$29$	−3.37795	+	4.23582i	−0.627270	+	0.786571i	0.362077	+	0.932148i	$0.382068\pi$
$30$	10.3206			1.88427
$31$	−6.97425			−1.25261			−0.626306	−	0.779577i	$-0.715434\pi$
$31$	−6.97425			−1.25261			−0.626306	+	0.779577i	$0.715434\pi$
$32$	−0.623490	+	0.781831i	−0.110218	+	0.138210i
$33$	−2.29654	+	10.0618i	−0.399777	+	1.75154i
$34$	1.02607	−	0.494132i	0.175970	−	0.0847429i
$35$	−5.41557	+	7.68744i	−0.915398	+	1.29941i
$36$	−4.89405	−	2.35685i	−0.815675	−	0.392808i
$37$	5.72402	−	7.17769i	0.941023	−	1.18000i	−0.0424776	−	0.999097i	$-0.513525\pi$
$37$	5.72402	−	7.17769i	0.941023	−	1.18000i	0.983500	−	0.180908i	$-0.0579035\pi$
$38$	−0.809205	−	0.389693i	−0.131270	−	0.0632165i
$39$	1.39398	−	6.10744i	0.223216	−	0.977974i
$40$	3.20220	−	1.54210i	0.506312	−	0.243827i
$41$	0.336926	+	1.47617i	0.0526190	+	0.230539i	0.994399	−	0.105691i	$-0.0337053\pi$
$41$	0.336926	+	1.47617i	0.0526190	+	0.230539i	−0.941780	+	0.336230i	$0.890848\pi$
$42$	6.71148	−	3.73897i	1.03560	−	0.576935i
$43$	1.58281	−	6.93476i	0.241377	−	1.05754i	−0.698388	−	0.715719i	$-0.746099\pi$
$43$	1.58281	−	6.93476i	0.241377	−	1.05754i	0.939765	−	0.341821i	$-0.111044\pi$
$44$	0.790878	+	3.46506i	0.119229	+	0.522378i
$45$	12.0372	+	15.0942i	1.79440	+	2.25011i
$46$	0.678938	+	2.97462i	0.100104	+	0.438584i
$47$	3.92124	+	1.88837i	0.571972	+	0.275447i	0.697431	−	0.716651i	$-0.254326\pi$
$47$	3.92124	+	1.88837i	0.571972	+	0.275447i	−0.125459	+	0.992099i	$0.540040\pi$
$48$	−2.90379			−0.419126
$49$	−0.736725	+	6.96112i	−0.105246	+	0.994446i
$50$	−7.63216			−1.07935
$51$	2.97950	+	1.43485i	0.417214	+	0.200920i
$52$	−0.480057	−	2.10327i	−0.0665719	−	0.291671i
$53$	−2.23275	−	2.79979i	−0.306692	−	0.384580i	0.604470	−	0.796628i	$-0.293385\pi$
$53$	−2.23275	−	2.79979i	−0.306692	−	0.384580i	−0.911162	+	0.412048i	$0.864814\pi$
$54$	−1.57143	−	6.88491i	−0.213845	−	0.936917i
$55$	2.81092	−	12.3154i	0.379024	−	1.66061i
$56$	1.52372	−	2.16293i	0.203616	−	0.289034i
$57$	−0.580343	−	2.54265i	−0.0768683	−	0.336782i
$58$	−4.88128	+	2.35070i	−0.640944	+	0.308662i
$59$	−0.881392	+	3.86163i	−0.114747	+	0.502741i	0.884591	+	0.466368i	$0.154438\pi$
$59$	−0.881392	+	3.86163i	−0.114747	+	0.502741i	−0.999338	+	0.0363734i	$0.988419\pi$
$60$	9.29851	+	4.47793i	1.20043	+	0.578098i
$61$	−6.17561	+	7.74397i	−0.790705	+	0.991513i	0.209202	+	0.977873i	$0.432914\pi$
$61$	−6.17561	+	7.74397i	−0.790705	+	0.991513i	−0.999907	+	0.0136406i	$0.995658\pi$
$62$	−6.28358	−	3.02601i	−0.798016	−	0.384304i
$63$	13.2962	+	5.45491i	1.67516	+	0.687254i
$64$	−0.900969	+	0.433884i	−0.112621	+	0.0542355i
$65$	−1.70621	+	7.47538i	−0.211629	+	0.927207i
$66$	−6.43477	+	8.06895i	−0.792065	+	0.993219i
$67$	−6.64593			−0.811930			−0.405965	−	0.913889i	$-0.633065\pi$
$67$	−6.64593			−0.811930			−0.405965	+	0.913889i	$0.633065\pi$
$68$	1.13886			0.138107
$69$	−5.52399	+	6.92687i	−0.665011	+	0.833897i
$70$	−8.21471	+	4.57642i	−0.981846	+	0.546986i
$71$	8.69659	+	10.9052i	1.03209	+	1.29421i	0.954816	+	0.297196i	$0.0960516\pi$
$71$	8.69659	+	10.9052i	1.03209	+	1.29421i	0.0772784	+	0.997010i	$0.475377\pi$
$72$	−3.38679	−	4.24690i	−0.399137	−	0.500501i
$73$	10.1903	−	4.90737i	1.19268	−	0.574364i	0.271098	−	0.962552i	$-0.412613\pi$
$73$	10.1903	−	4.90737i	1.19268	−	0.574364i	0.921580	+	0.388188i	$0.126899\pi$
$74$	8.27144	−	3.98332i	0.961536	−	0.463051i
$75$	−13.8179	−	17.3271i	−1.59555	−	2.00076i
$76$	−0.559987	−	0.702202i	−0.0642350	−	0.0805481i
$77$	−2.63373	−	9.02710i	−0.300141	−	1.02873i
$78$	3.90586	−	4.89779i	0.442251	−	0.554565i
$79$	−2.31107			−0.260016			−0.130008	−	0.991513i	$-0.541500\pi$
$79$	−2.31107			−0.260016			−0.130008	+	0.991513i	$0.541500\pi$
$80$	3.55417			0.397369
$81$	2.62520	−	3.29190i	0.291689	−	0.365766i
$82$	−0.336926	+	1.47617i	−0.0372073	+	0.163016i
$83$	11.0508	−	5.32180i	1.21299	−	0.584143i	0.285636	−	0.958338i	$-0.407795\pi$
$83$	11.0508	−	5.32180i	1.21299	−	0.584143i	0.927350	+	0.374195i	$0.122081\pi$
$84$	7.66911	−	0.456689i	0.836769	−	0.0498289i
$85$	−3.64685	−	1.75623i	−0.395556	−	0.190490i
$86$	4.43494	−	5.56124i	0.478232	−	0.599684i
$87$	−14.1742	−	6.82594i	−1.51963	−	0.731817i
$88$	−0.790878	+	3.46506i	−0.0843079	+	0.369377i
$89$	8.86771	−	4.27047i	0.939976	−	0.452668i	0.0998150	−	0.995006i	$-0.468175\pi$
$89$	8.86771	−	4.27047i	0.939976	−	0.452668i	0.840161	+	0.542338i	$0.182461\pi$
$90$	4.29604	+	18.8222i	0.452842	+	1.98403i
$91$	1.59865	+	5.47938i	0.167585	+	0.574395i
$92$	−0.678938	+	2.97462i	−0.0707841	+	0.310126i
$93$	−4.50644	−	19.7440i	−0.467296	−	2.04736i
$94$	2.71358	+	3.40273i	0.279885	+	0.350965i
$95$	0.710327	+	3.11215i	0.0728780	+	0.319300i
$96$	−2.61622	−	1.25991i	−0.267017	−	0.128589i
$97$	−2.24566			−0.228012			−0.114006	−	0.993480i	$-0.536368\pi$
$97$	−2.24566			−0.228012			−0.114006	+	0.993480i	$0.536368\pi$
$98$	−3.68408	+	5.95210i	−0.372149	+	0.601253i
$99$	−19.3062			−1.94035
$100$	−6.87634	−	3.31147i	−0.687634	−	0.331147i
$101$	−2.54087	−	11.1323i	−0.252826	−	1.10770i	−0.928743	−	0.370725i	$-0.879109\pi$
$101$	−2.54087	−	11.1323i	−0.252826	−	1.10770i	0.675916	−	0.736978i	$-0.263748\pi$
$102$	2.06188	+	2.58552i	0.204157	+	0.256004i
$103$	3.08503	+	13.5164i	0.303977	+	1.33181i	0.864067	+	0.503377i	$0.167909\pi$
$103$	3.08503	+	13.5164i	0.303977	+	1.33181i	−0.560090	+	0.828432i	$0.689233\pi$
$104$	0.480057	−	2.10327i	0.0470735	−	0.206242i
$105$	−25.2623	−	10.3641i	−2.46535	−	1.01143i
$106$	−0.796861	−	3.49128i	−0.0773980	−	0.339103i
$107$	−1.02732	+	0.494730i	−0.0993146	+	0.0478274i	−0.482882	−	0.875686i	$-0.660410\pi$
$107$	−1.02732	+	0.494730i	−0.0993146	+	0.0478274i	0.383567	+	0.923513i	$0.374696\pi$
$108$	1.57143	−	6.88491i	0.151211	−	0.662500i
$109$	−11.7264	−	5.64715i	−1.12319	−	0.540899i	−0.222312	−	0.974976i	$-0.571360\pi$
$109$	−11.7264	−	5.64715i	−1.12319	−	0.540899i	−0.900876	+	0.434077i	$0.857075\pi$
$110$	7.87602	−	9.87622i	0.750949	−	0.941661i
$111$	24.0185	+	11.5667i	2.27974	+	1.09786i
$112$	2.31129	−	1.28762i	0.218396	−	0.121668i
$113$	8.04621	−	3.87485i	0.756924	−	0.364515i	−0.0152857	−	0.999883i	$-0.504866\pi$
$113$	8.04621	−	3.87485i	0.756924	−	0.364515i	0.772210	+	0.635368i	$0.219151\pi$
$114$	0.580343	−	2.54265i	0.0543541	−	0.238141i
$115$	6.76125	−	8.47834i	0.630490	−	0.790609i
$116$	−5.41781			−0.503031
$117$	11.7187			1.08340
$118$	−2.46960	+	3.09679i	−0.227346	+	0.285082i
$119$	−3.00780	+	0.179112i	−0.275725	+	0.0164192i
$120$	6.43477	+	8.06895i	0.587411	+	0.736591i
$121$	1.01763	+	1.27607i	0.0925122	+	0.116007i
$122$	−8.92401	+	4.29758i	−0.807942	+	0.389084i
$123$	−3.96131	+	1.90766i	−0.357179	+	0.172008i
$124$	−4.34837	−	5.45269i	−0.390495	−	0.489666i
$125$	5.83284	+	7.31415i	0.521705	+	0.654198i
$126$	9.61267	+	10.6837i	0.856365	+	0.951780i
$127$	4.16179	−	5.21871i	0.369299	−	0.463086i	−0.562109	−	0.827063i	$-0.690010\pi$
$127$	4.16179	−	5.21871i	0.369299	−	0.463086i	0.931408	+	0.363977i	$0.118581\pi$
$128$	−1.00000			−0.0883883
$129$	20.6549			1.81857
$130$	−4.78069	+	5.99479i	−0.419294	+	0.525778i
$131$	−1.04803	+	4.59170i	−0.0915665	+	0.401179i	−0.999853	−	0.0171707i	$-0.994534\pi$
$131$	−1.04803	+	4.59170i	−0.0915665	+	0.401179i	0.908286	+	0.418350i	$0.137391\pi$
$132$	−9.29851	+	4.47793i	−0.809332	+	0.389754i
$133$	1.58941	+	1.76650i	0.137819	+	0.153175i
$134$	−5.98778	−	2.88356i	−0.517265	−	0.249102i
$135$	−15.6493	+	19.6235i	−1.34687	+	1.68893i
$136$	1.02607	+	0.494132i	0.0879852	+	0.0423714i
$137$	−0.280323	+	1.22818i	−0.0239496	+	0.104930i	−0.985490	−	0.169733i	$-0.945709\pi$
$137$	−0.280323	+	1.22818i	−0.0239496	+	0.104930i	0.961540	+	0.274664i	$0.0885665\pi$
$138$	−7.98240	+	3.84412i	−0.679507	+	0.327233i
$139$	−2.78196	−	12.1885i	−0.235962	−	1.03382i	−0.944594	−	0.328241i	$-0.893544\pi$
$139$	−2.78196	−	12.1885i	−0.235962	−	1.03382i	0.708632	−	0.705579i	$-0.249313\pi$
$140$	−9.38683	+	0.558978i	−0.793332	+	0.0472423i
$141$	−2.81222	+	12.3212i	−0.236832	+	1.03763i
$142$	3.10378	+	13.5985i	0.260463	+	1.14116i
$143$	−4.78069	−	5.99479i	−0.399781	−	0.501310i
$144$	−1.20873	−	5.29579i	−0.100728	−	0.441316i
$145$	17.3489	+	8.35480i	1.44075	+	0.693829i
$146$	11.3103			0.936049
$147$	−20.1829	+	2.41230i	−1.66465	+	0.198963i
$148$	9.18061			0.754641
$149$	−1.60148	−	0.771234i	−0.131199	−	0.0631820i	0.367133	−	0.930169i	$-0.380339\pi$
$149$	−1.60148	−	0.771234i	−0.131199	−	0.0631820i	−0.498332	+	0.866987i	$0.666054\pi$
$150$	−4.93155	−	21.6065i	−0.402659	−	1.76416i
$151$	9.14048	+	11.4618i	0.743842	+	0.932748i	0.999420	−	0.0340399i	$-0.0108373\pi$
$151$	9.14048	+	11.4618i	0.743842	+	0.932748i	−0.255578	+	0.966788i	$0.582266\pi$
$152$	−0.199857	−	0.875631i	−0.0162106	−	0.0710231i
$153$	−1.37657	+	6.03115i	−0.111289	+	0.487590i
$154$	1.54380	−	9.27587i	0.124403	−	0.747471i
$155$	5.51578	+	24.1662i	0.443038	+	1.94108i
$156$	5.64413	−	2.71807i	0.451892	−	0.217620i
$157$	1.17221	−	5.13579i	0.0935527	−	0.409881i	−0.906368	−	0.422489i	$-0.861156\pi$
$157$	1.17221	−	5.13579i	0.0935527	−	0.409881i	0.999921	+	0.0126085i	$0.00401350\pi$
$158$	−2.08220	−	1.00274i	−0.165651	−	0.0797734i
$159$	6.48345	−	8.12998i	0.514171	−	0.644750i
$160$	3.20220	+	1.54210i	0.253156	+	0.121914i
$161$	1.32529	−	7.96297i	0.104448	−	0.627570i
$162$	3.79352	−	1.82687i	0.298047	−	0.143532i
$163$	−0.463533	+	2.03087i	−0.0363067	+	0.159070i	−0.989832	−	0.142244i	$-0.954568\pi$
$163$	−0.463533	+	2.03087i	−0.0363067	+	0.159070i	0.953525	+	0.301314i	$0.0974253\pi$
$164$	−0.944046	+	1.18380i	−0.0737176	+	0.0924389i
$165$	36.6811			2.85562
$166$	12.2655			0.951987
$167$	−7.15407	+	8.97091i	−0.553598	+	0.694190i	−0.977360	−	0.211584i	$-0.932138\pi$
$167$	−7.15407	+	8.97091i	−0.553598	+	0.694190i	0.423762	+	0.905774i	$0.360709\pi$
$168$	7.10778	+	2.91604i	0.548377	+	0.224977i
$169$	−5.20353	−	6.52502i	−0.400271	−	0.501924i
$170$	−2.52370	−	3.16462i	−0.193559	−	0.242715i
$171$	4.39559	−	2.11680i	0.336139	−	0.161876i
$172$	6.40868	−	3.08626i	0.488657	−	0.235325i
$173$	8.06886	+	10.1180i	0.613464	+	0.769260i	0.987408	−	0.158191i	$-0.0505663\pi$
$173$	8.06886	+	10.1180i	0.613464	+	0.769260i	−0.373944	+	0.927451i	$0.621995\pi$
$174$	−9.80885	−	12.2999i	−0.743607	−	0.932454i
$175$	18.6817	+	7.66437i	1.41220	+	0.579372i
$176$	−2.21599	+	2.77877i	−0.167037	+	0.209457i
$177$	−11.5017			−0.864523
$178$	9.84242			0.737721
$179$	12.3779	−	15.5214i	0.925168	−	1.16012i	−0.0616183	−	0.998100i	$-0.519626\pi$
$179$	12.3779	−	15.5214i	0.925168	−	1.16012i	0.986787	−	0.162025i	$-0.0518024\pi$
$180$	−4.29604	+	18.8222i	−0.320208	+	1.40292i
$181$	−9.24198	+	4.45070i	−0.686951	+	0.330818i	−0.744593	−	0.667519i	$-0.767356\pi$
$181$	−9.24198	+	4.45070i	−0.686951	+	0.330818i	0.0576418	+	0.998337i	$0.481642\pi$
$182$	−0.937077	+	5.63038i	−0.0694608	+	0.417352i
$183$	−25.9134	−	12.4793i	−1.91558	−	0.922493i
$184$	−1.90234	+	2.38546i	−0.140242	+	0.175858i
$185$	−29.3982	−	14.1574i	−2.16140	−	1.04087i
$186$	4.50644	−	19.7440i	0.330428	−	1.44770i
$187$	3.64685	−	1.75623i	0.266684	−	0.128428i
$188$	0.968467	+	4.24313i	0.0706327	+	0.309462i
$189$	−3.06746	+	18.4307i	−0.223125	+	1.34063i
$190$	−0.710327	+	3.11215i	−0.0515326	+	0.225779i
$191$	−3.82871	−	16.7747i	−0.277036	−	1.21377i	−0.901520	−	0.432737i	$-0.857548\pi$
$191$	−3.82871	−	16.7747i	−0.277036	−	1.21377i	0.624484	−	0.781037i	$-0.285309\pi$
$192$	−1.81048	−	2.27027i	−0.130660	−	0.163843i
$193$	−2.45044	−	10.7361i	−0.176386	−	0.772800i	−0.983280	−	0.182102i	$-0.941710\pi$
$193$	−2.45044	−	10.7361i	−0.176386	−	0.772800i	0.806893	−	0.590697i	$-0.201147\pi$
$194$	−2.02327	−	0.974353i	−0.145262	−	0.0699545i
$195$	−22.2652			−1.59444
$196$	−5.90177	+	3.76419i	−0.421555	+	0.268871i
$197$	−13.5240			−0.963545			−0.481773	−	0.876296i	$-0.660007\pi$
$197$	−13.5240			−0.963545			−0.481773	+	0.876296i	$0.660007\pi$
$198$	−17.3943	−	8.37665i	−1.23616	−	0.595303i
$199$	5.64003	+	24.7106i	0.399811	+	1.75169i	0.628137	+	0.778103i	$0.283818\pi$
$199$	5.64003	+	24.7106i	0.399811	+	1.75169i	−0.228326	+	0.973585i	$0.573325\pi$
$200$	−4.75857	−	5.96706i	−0.336482	−	0.421935i
$201$	−4.29429	−	18.8145i	−0.302896	−	1.32707i
$202$	2.54087	−	11.1323i	0.178775	−	0.783265i
$203$	14.3088	−	0.852079i	1.00428	−	0.0598042i
$204$	0.735877	+	3.22409i	0.0515217	+	0.225731i
$205$	4.84855	−	2.33494i	0.338638	−	0.163079i
$206$	−3.08503	+	13.5164i	−0.214944	+	0.941731i
$207$	−14.9323	−	7.19103i	−1.03787	−	0.499811i
$208$	1.34509	−	1.68669i	0.0932652	−	0.116951i
$209$	−2.87606	−	1.38504i	−0.198941	−	0.0958049i
$210$	−18.2637	−	20.2987i	−1.26032	−	1.40074i
$211$	−3.21249	+	1.54705i	−0.221157	+	0.106504i	−0.541182	−	0.840906i	$-0.682023\pi$
$211$	−3.21249	+	1.54705i	−0.221157	+	0.106504i	0.320025	+	0.947409i	$0.396309\pi$
$212$	0.796861	−	3.49128i	0.0547286	−	0.239782i
$213$	−25.2530	+	31.6663i	−1.73031	+	2.16974i
$214$	−1.14024			−0.0779450
$215$	−25.2812			−1.72416
$216$	4.40306	−	5.52127i	0.299590	−	0.375675i
$217$	12.3419	+	13.7171i	0.837825	+	0.931175i
$218$	−8.11494	−	10.1758i	−0.549613	−	0.689193i
$219$	20.4771	+	25.6775i	1.38372	+	1.73513i
$220$	11.3812	−	5.48089i	0.767319	−	0.369521i
$221$	−2.21361	+	1.06602i	−0.148903	+	0.0717081i
$222$	16.6213	+	20.8425i	1.11555	+	1.39886i
$223$	3.50583	+	4.39617i	0.234767	+	0.294389i	0.885234	−	0.465146i	$-0.153998\pi$
$223$	3.50583	+	4.39617i	0.234767	+	0.294389i	−0.650467	+	0.759535i	$0.725427\pi$
$224$	2.64107	−	0.157274i	0.176464	−	0.0105083i
$225$	25.8485	−	32.4130i	1.72323	−	2.16087i
$226$	8.93062			0.594056
$227$	−15.4952			−1.02845			−0.514226	−	0.857655i	$-0.671921\pi$
$227$	−15.4952			−1.02845			−0.514226	+	0.857655i	$0.671921\pi$
$228$	1.62608	−	2.03905i	0.107690	−	0.135039i
$229$	3.61755	−	15.8495i	0.239055	−	1.04737i	−0.702811	−	0.711377i	$-0.748072\pi$
$229$	3.61755	−	15.8495i	0.239055	−	1.04737i	0.941866	−	0.335990i	$-0.109071\pi$
$230$	9.77029	−	4.70512i	0.644234	−	0.310247i
$231$	23.8538	−	13.2889i	1.56946	−	0.874348i
$232$	−4.88128	−	2.35070i	−0.320472	−	0.154331i
$233$	15.5647	−	19.5176i	1.01968	−	1.27864i	0.0598042	−	0.998210i	$-0.480952\pi$
$233$	15.5647	−	19.5176i	1.01968	−	1.27864i	0.959875	−	0.280427i	$-0.0904762\pi$
$234$	10.5582	+	5.08457i	0.690212	+	0.332388i
$235$	3.44210	−	15.0808i	0.224538	−	0.983765i
$236$	−3.56868	+	1.71859i	−0.232301	+	0.111870i
$237$	−1.49331	−	6.54260i	−0.0970007	−	0.424988i
$238$	−2.78765	−	1.14366i	−0.180697	−	0.0741327i
$239$	1.63987	−	7.18474i	0.106074	−	0.464742i	−0.893793	−	0.448479i	$-0.851966\pi$
$239$	1.63987	−	7.18474i	0.106074	−	0.464742i	0.999868	−	0.0162632i	$-0.00517696\pi$
$240$	2.29654	+	10.0618i	0.148241	+	0.649487i
$241$	0.436119	+	0.546876i	0.0280929	+	0.0352274i	0.795680	−	0.605718i	$-0.207114\pi$
$241$	0.436119	+	0.546876i	0.0280929	+	0.0352274i	−0.767587	+	0.640945i	$0.778543\pi$
$242$	0.363190	+	1.59124i	0.0233467	+	0.102289i
$243$	−8.07224	−	3.88739i	−0.517834	−	0.249376i
$244$	−9.90490			−0.634096
$245$	24.7034	−	2.95260i	1.57824	−	0.188635i
$246$	−4.39672			−0.280324
$247$	1.74574	+	0.840706i	0.111079	+	0.0534929i
$248$	−1.55192	−	6.79939i	−0.0985468	−	0.431762i
$249$	22.2065	+	27.8460i	1.40728	+	1.76467i
$250$	2.08172	+	9.12060i	0.131659	+	0.576837i
$251$	−3.01593	+	13.2137i	−0.190364	+	0.834039i	0.786055	+	0.618156i	$0.212120\pi$
$251$	−3.01593	+	13.2137i	−0.190364	+	0.834039i	−0.976419	+	0.215883i	$0.930737\pi$
$252$	4.02523	+	13.7965i	0.253566	+	0.869096i
$253$	2.41306	+	10.5723i	0.151708	+	0.664676i
$254$	6.01395	−	2.89617i	0.377349	−	0.181722i
$255$	2.61543	−	11.4590i	0.163785	−	0.717588i
$256$	−0.900969	−	0.433884i	−0.0563106	−	0.0271177i
$257$	−9.61117	+	12.0520i	−0.599528	+	0.751784i	−0.985304	−	0.170808i	$-0.945362\pi$
$257$	−9.61117	+	12.0520i	−0.599528	+	0.751784i	0.385776	+	0.922592i	$0.373934\pi$
$258$	18.6094	+	8.96184i	1.15857	+	0.557940i
$259$	−24.2467	+	1.44387i	−1.50661	+	0.0897176i
$260$	−6.90829	+	3.32686i	−0.428434	+	0.206323i
$261$	6.54867	−	28.6916i	0.405353	−	1.77597i
$262$	−2.93650	+	3.68226i	−0.181418	+	0.227491i
$263$	−25.3328			−1.56209			−0.781043	−	0.624478i	$-0.785312\pi$
$263$	−25.3328			−1.56209			−0.781043	+	0.624478i	$0.785312\pi$
$264$	−10.3206			−0.635187
$265$	−7.93560	+	9.95093i	−0.487480	+	0.611281i
$266$	0.665551	+	2.28117i	0.0408076	+	0.139868i
$267$	17.8195	+	22.3450i	1.09054	+	1.36749i
$268$	−4.14367	−	5.19600i	−0.253115	−	0.317396i
$269$	24.7914	−	11.9389i	1.51156	−	0.727929i	0.519592	−	0.854414i	$-0.326084\pi$
$269$	24.7914	−	11.9389i	1.51156	−	0.727929i	0.991969	+	0.126485i	$0.0403696\pi$
$270$	−22.6138	+	10.8902i	−1.37623	+	0.662759i
$271$	11.5733	+	14.5125i	0.703028	+	0.881569i	0.997246	−	0.0741694i	$-0.0236305\pi$
$271$	11.5733	+	14.5125i	0.703028	+	0.881569i	−0.294218	+	0.955738i	$0.595059\pi$
$272$	0.710066	+	0.890394i	0.0430541	+	0.0539881i
$273$	−14.4791	+	8.06629i	−0.876313	+	0.488194i
$274$	−0.785448	+	0.984921i	−0.0474507	+	0.0595013i
$275$	−27.1260			−1.63576
$276$	−8.85980			−0.533297
$277$	−7.56019	+	9.48018i	−0.454248	+	0.569609i	−0.955236	−	0.295845i	$-0.904399\pi$
$277$	−7.56019	+	9.48018i	−0.454248	+	0.569609i	0.500988	+	0.865454i	$0.332970\pi$
$278$	2.78196	−	12.1885i	0.166851	−	0.731021i
$279$	34.1323	−	16.4373i	2.04345	−	0.984073i
$280$	−8.69978	−	3.56917i	−0.519911	−	0.213299i
$281$	9.17142	+	4.41672i	0.547121	+	0.263480i	0.686961	−	0.726694i	$-0.258944\pi$
$281$	9.17142	+	4.41672i	0.547121	+	0.263480i	−0.139840	+	0.990174i	$0.544659\pi$
$282$	−7.87967	+	9.88080i	−0.469228	+	0.588393i
$283$	−6.45046	−	3.10638i	−0.383440	−	0.184655i	0.232226	−	0.972662i	$-0.425399\pi$
$283$	−6.45046	−	3.10638i	−0.383440	−	0.184655i	−0.615667	+	0.788007i	$0.711113\pi$
$284$	−3.10378	+	13.5985i	−0.184175	+	0.806924i
$285$	−8.35146	+	4.02185i	−0.494698	+	0.238234i
$286$	−1.70621	−	7.47538i	−0.100890	−	0.442029i
$287$	2.30711	−	3.27496i	0.136185	−	0.193315i
$288$	1.20873	−	5.29579i	0.0712251	−	0.312058i
$289$	3.49425	+	15.3093i	0.205544	+	0.900547i
$290$	12.0058	+	15.0548i	0.705007	+	0.884050i
$291$	−1.45104	−	6.35741i	−0.0850614	−	0.372678i
$292$	10.1903	+	4.90737i	0.596339	+	0.287182i
$293$	−15.1948			−0.887687			−0.443844	−	0.896104i	$-0.646385\pi$
$293$	−15.1948			−0.887687			−0.443844	+	0.896104i	$0.646385\pi$
$294$	−19.2308	−	6.58361i	−1.12156	−	0.383964i
$295$	14.0779			0.819645
$296$	8.27144	+	3.98332i	0.480768	+	0.231526i
$297$	−5.58515	−	24.4702i	−0.324084	−	1.41990i
$298$	−1.10826	−	1.38972i	−0.0641999	−	0.0805041i
$299$	−1.46471	−	6.41732i	−0.0847064	−	0.371123i
$300$	4.93155	−	21.6065i	0.284723	−	1.24745i
$301$	−16.4404	+	9.15895i	−0.947609	+	0.527913i
$302$	3.26220	+	14.2926i	0.187719	+	0.822449i
$303$	29.8735	−	14.3863i	1.71619	−	0.826473i
$304$	0.199857	−	0.875631i	0.0114626	−	0.0502209i
$305$	31.7175	+	15.2743i	1.81614	+	0.874606i
$306$	−3.85707	+	4.83661i	−0.220494	+	0.276490i
$307$	−10.2678	−	4.94473i	−0.586017	−	0.282211i	0.117290	−	0.993098i	$-0.462579\pi$
$307$	−10.2678	−	4.94473i	−0.586017	−	0.282211i	−0.703306	+	0.710887i	$0.748294\pi$
$308$	5.41557	−	7.68744i	0.308581	−	0.438033i
$309$	−36.2713	+	17.4673i	−2.06340	+	0.993681i
$310$	−5.51578	+	24.1662i	−0.313275	+	1.37255i
$311$	−11.4676	+	14.3800i	−0.650270	+	0.815412i	−0.992245	−	0.124296i	$-0.960333\pi$
$311$	−11.4676	+	14.3800i	−0.650270	+	0.815412i	0.341975	+	0.939709i	$0.388904\pi$
$312$	6.26451			0.354658
$313$	−24.3950			−1.37889			−0.689444	−	0.724339i	$-0.742145\pi$
$313$	−24.3950			−1.37889			−0.689444	+	0.724339i	$0.742145\pi$
$314$	3.28446	−	4.11859i	0.185353	−	0.232425i
$315$	8.38592	−	50.3864i	0.472493	−	2.83895i
$316$	−1.44093	−	1.80687i	−0.0810586	−	0.101644i
$317$	5.22537	+	6.55240i	0.293486	+	0.368020i	0.906612	−	0.421965i	$-0.138660\pi$
$317$	5.22537	+	6.55240i	0.293486	+	0.368020i	−0.613126	+	0.789985i	$0.710088\pi$
$318$	9.36885	−	4.51180i	0.525379	−	0.253009i
$319$	−17.3489	+	8.35480i	−0.971353	+	0.467779i
$320$	2.21599	+	2.77877i	0.123878	+	0.155338i
$321$	−2.06438	−	2.58865i	−0.115222	−	0.144484i
$322$	4.64905	−	6.59936i	0.259081	−	0.367768i
$323$	−0.637746	+	0.799708i	−0.0354851	+	0.0444969i
$324$	4.21049			0.233916
$325$	16.4653			0.913330
$326$	−1.29879	+	1.62863i	−0.0719334	+	0.0902016i
$327$	8.40992	−	36.8463i	0.465069	−	2.03760i
$328$	−1.36419	+	0.656957i	−0.0753246	+	0.0362744i
$329$	−3.22513	−	11.0541i	−0.177807	−	0.609433i
$330$	33.0485	+	15.9153i	1.81926	+	0.876110i
$331$	−16.2442	+	20.3695i	−0.892860	+	1.11961i	0.0993523	+	0.995052i	$0.468323\pi$
$331$	−16.2442	+	20.3695i	−0.892860	+	1.11961i	−0.992212	+	0.124559i	$0.960249\pi$
$332$	11.0508	+	5.32180i	0.606493	+	0.292072i
$333$	−11.0969	+	48.6186i	−0.608105	+	2.66428i
$334$	−10.3379	+	4.97848i	−0.565666	+	0.272410i
$335$	5.25612	+	23.0286i	0.287173	+	1.25819i
$336$	5.13867	+	5.71121i	0.280337	+	0.311572i
$337$	5.34432	−	23.4150i	0.291123	−	1.27550i	−0.591841	−	0.806055i	$-0.701599\pi$
$337$	5.34432	−	23.4150i	0.291123	−	1.27550i	0.882964	−	0.469440i	$-0.155544\pi$
$338$	−1.85712	−	8.13656i	−0.101014	−	0.442571i
$339$	16.1687	+	20.2749i	0.878165	+	1.10118i
$340$	−0.900697	−	3.94621i	−0.0488472	−	0.214013i
$341$	−22.3329	−	10.7550i	−1.20940	−	0.582415i
$342$	4.87874			0.263812
$343$	14.9950	−	10.8697i	0.809653	−	0.586909i
$344$	7.11310			0.383513
$345$	28.3709	+	13.6627i	1.52744	+	0.735574i
$346$	2.87974	+	12.6170i	0.154816	+	0.678293i
$347$	−17.1739	−	21.5354i	−0.921942	−	1.15608i	−0.987403	−	0.158224i	$-0.949423\pi$
$347$	−17.1739	−	21.5354i	−0.921942	−	1.15608i	0.0654613	−	0.997855i	$-0.479148\pi$
$348$	−3.50074	−	15.3377i	−0.187659	−	0.822189i
$349$	3.84583	−	16.8497i	0.205863	−	0.901943i	−0.761423	−	0.648255i	$-0.775499\pi$
$349$	3.84583	−	16.8497i	0.205863	−	0.901943i	0.967286	−	0.253688i	$-0.0816437\pi$
$350$	13.5062	+	15.0110i	0.721937	+	0.802374i
$351$	3.39015	+	14.8532i	0.180953	+	0.792805i
$352$	−3.20220	+	1.54210i	−0.170678	+	0.0821941i
$353$	−0.622337	+	2.72664i	−0.0331236	+	0.145124i	−0.988786	−	0.149342i	$-0.952285\pi$
$353$	−0.622337	+	2.72664i	−0.0331236	+	0.145124i	0.955662	+	0.294466i	$0.0951417\pi$
$354$	−10.3627	−	4.99041i	−0.550771	−	0.265237i
$355$	30.9092	−	38.7589i	1.64049	−	2.05711i
$356$	8.86771	+	4.27047i	0.469988	+	0.226334i
$357$	−2.45057	−	8.39931i	−0.129698	−	0.444539i
$358$	17.8866	−	8.61373i	0.945336	−	0.455250i
$359$	3.00396	−	13.1612i	0.158543	−	0.694623i	−0.831695	−	0.555233i	$-0.812629\pi$
$359$	3.00396	−	13.1612i	0.158543	−	0.694623i	0.990238	−	0.139389i	$-0.0445140\pi$
$360$	−12.0372	+	15.0942i	−0.634418	+	0.795535i
$361$	−18.1933			−0.957544
$362$	−10.2578			−0.539139
$363$	−2.95499	+	3.70545i	−0.155097	+	0.194485i
$364$	−3.28721	+	4.66622i	−0.172297	+	0.244576i
$365$	−25.0636	−	31.4287i	−1.31189	−	1.64506i
$366$	−17.9326	−	22.4868i	−0.937355	−	1.17541i
$367$	11.4922	−	5.53436i	0.599888	−	0.288891i	−0.109190	−	0.994021i	$-0.534826\pi$
$367$	11.4922	−	5.53436i	0.599888	−	0.288891i	0.709078	+	0.705130i	$0.249111\pi$
$368$	−2.74896	+	1.32383i	−0.143300	+	0.0690094i
$369$	−5.12804	−	6.43036i	−0.266955	−	0.334751i
$370$	−20.3442	−	25.5108i	−1.05764	−	1.32624i
$371$	−1.55548	+	9.34604i	−0.0807566	+	0.485222i
$372$	12.6268	−	15.8334i	0.654667	−	0.820926i
$373$	5.97519			0.309384			0.154692	−	0.987963i	$-0.450562\pi$
$373$	5.97519			0.309384			0.154692	+	0.987963i	$0.450562\pi$
$374$	4.04770			0.209301
$375$	−16.9373	+	21.2388i	−0.874640	+	1.09676i
$376$	−0.968467	+	4.24313i	−0.0499449	+	0.218823i
$377$	10.5307	−	5.07130i	0.542357	−	0.261185i
$378$	−10.7605	+	15.2746i	−0.553458	+	0.785638i
$379$	−1.67559	−	0.806923i	−0.0860694	−	0.0414488i	0.390354	−	0.920665i	$-0.372353\pi$
$379$	−1.67559	−	0.806923i	−0.0860694	−	0.0414488i	−0.476423	+	0.879216i	$0.658067\pi$
$380$	−1.99029	+	2.49575i	−0.102100	+	0.128029i
$381$	17.4632	+	8.40986i	0.894669	+	0.430850i
$382$	3.82871	−	16.7747i	0.195894	−	0.858268i
$383$	−2.59745	+	1.25087i	−0.132724	+	0.0639163i	−0.499067	−	0.866563i	$-0.666324\pi$
$383$	−2.59745	+	1.25087i	−0.132724	+	0.0639163i	0.366343	+	0.930480i	$0.380610\pi$
$384$	−0.646154	−	2.83098i	−0.0329739	−	0.144468i
$385$	−29.1965	+	16.2654i	−1.48799	+	0.828961i
$386$	2.45044	−	10.7361i	0.124724	−	0.546452i
$387$	8.59782	+	37.6695i	0.437052	+	1.91485i
$388$	−1.40014	−	1.75572i	−0.0710815	−	0.0891334i
$389$	2.95525	+	12.9478i	0.149837	+	0.656479i	0.992929	+	0.118710i	$0.0378758\pi$
$389$	2.95525	+	12.9478i	0.149837	+	0.656479i	−0.843092	+	0.537769i	$0.819267\pi$
$390$	−20.0602	−	9.66049i	−1.01579	−	0.489178i
$391$	3.47479			0.175728
$392$	−6.95053	+	0.830742i	−0.351055	+	0.0419588i
$393$	−13.6762			−0.689874
$394$	−12.1847	−	5.86784i	−0.613857	−	0.295618i
$395$	1.82778	+	8.00801i	0.0919654	+	0.402927i
$396$	−12.0372	−	15.0942i	−0.604894	−	0.758513i
$397$	5.82470	+	25.5197i	0.292333	+	1.28080i	0.881269	+	0.472616i	$0.156690\pi$
$397$	5.82470	+	25.5197i	0.292333	+	1.28080i	−0.588935	+	0.808180i	$0.700453\pi$
$398$	−5.64003	+	24.7106i	−0.282709	+	1.23863i
$399$	−3.97392	+	5.64101i	−0.198945	+	0.282404i
$400$	−1.69832	−	7.44080i	−0.0849158	−	0.372040i
$401$	−28.1986	+	13.5797i	−1.40817	+	0.678140i	−0.974801	−	0.223076i	$-0.928390\pi$
$401$	−28.1986	+	13.5797i	−1.40817	+	0.678140i	−0.433370	+	0.901216i	$0.642676\pi$
$402$	4.29429	−	18.8145i	0.214180	−	0.938383i
$403$	13.5559	+	6.52819i	0.675269	+	0.325192i
$404$	7.11936	−	8.92740i	0.354202	−	0.444155i
$405$	−13.4829	−	6.49300i	−0.669968	−	0.322640i
$406$	13.2615	+	5.44068i	0.658158	+	0.270016i
$407$	29.3982	−	14.1574i	1.45721	−	0.701757i
$408$	−0.735877	+	3.22409i	−0.0364313	+	0.159616i
$409$	7.21620	−	9.04883i	0.356818	−	0.447436i	−0.570731	−	0.821137i	$-0.693340\pi$
$409$	7.21620	−	9.04883i	0.356818	−	0.447436i	0.927549	+	0.373701i	$0.121911\pi$
$410$	5.38149			0.265773
$411$	−3.65808			−0.180440
$412$	−8.64405	+	10.8393i	−0.425862	+	0.534014i
$413$	9.15486	−	5.10017i	0.450481	−	0.250963i
$414$	−10.3335	−	12.9578i	−0.507863	−	0.636840i
$415$	−27.1802	−	34.0829i	−1.33423	−	1.67307i
$416$	1.94371	−	0.936042i	0.0952983	−	0.0458932i
$417$	32.7080	−	15.7513i	1.60172	−	0.771347i
$418$	−1.99029	−	2.49575i	−0.0973484	−	0.122071i
$419$	−2.72752	−	3.42021i	−0.133248	−	0.167088i	0.710731	−	0.703464i	$-0.248364\pi$
$419$	−2.72752	−	3.42021i	−0.133248	−	0.167088i	−0.843979	+	0.536376i	$0.819793\pi$
$420$	−7.64779	−	26.2128i	−0.373174	−	1.27905i
$421$	24.1090	−	30.2317i	1.17500	−	1.47340i	0.325715	−	0.945468i	$-0.394395\pi$
$421$	24.1090	−	30.2317i	1.17500	−	1.47340i	0.849285	−	0.527935i	$-0.177034\pi$
$422$	−3.56559			−0.173570
$423$	−23.6414			−1.14948
$424$	2.23275	−	2.79979i	0.108432	−	0.135970i
$425$	−1.93414	+	8.47401i	−0.0938195	+	0.411050i
$426$	−36.4917	+	17.5735i	−1.76803	+	0.851438i
$427$	26.1596	−	1.55778i	1.26595	−	0.0753863i
$428$	−1.02732	−	0.494730i	−0.0496573	−	0.0239137i
$429$	13.8821	−	17.4076i	0.670234	−	0.840447i
$430$	−22.7776	−	10.9691i	−1.09843	−	0.528977i
$431$	−3.26954	+	14.3248i	−0.157488	+	0.690001i	0.833100	+	0.553123i	$0.186564\pi$
$431$	−3.26954	+	14.3248i	−0.157488	+	0.690001i	−0.990588	+	0.136878i	$0.956293\pi$
$432$	6.36261	−	3.06407i	0.306121	−	0.147420i
$433$	2.70830	+	11.8658i	0.130153	+	0.570236i	0.997381	+	0.0723255i	$0.0230420\pi$
$433$	2.70830	+	11.8658i	0.130153	+	0.570236i	−0.867228	+	0.497910i	$0.834101\pi$
$434$	5.16809	+	17.7136i	0.248076	+	0.850280i
$435$	−12.4422	+	54.5130i	−0.596560	+	2.61370i
$436$	−2.89619	−	12.6890i	−0.138702	−	0.607694i
$437$	−1.70859	−	2.14250i	−0.0817328	−	0.102490i
$438$	7.30821	+	32.0193i	0.349200	+	1.52994i
$439$	−6.74830	−	3.24981i	−0.322079	−	0.155105i	0.265857	−	0.964012i	$-0.414345\pi$
$439$	−6.74830	−	3.24981i	−0.322079	−	0.155105i	−0.587936	+	0.808907i	$0.700059\pi$
$440$	12.6322			0.602215
$441$	−12.8008	−	35.8044i	−0.609560	−	1.70497i
$442$	−2.45692			−0.116864
$443$	33.9802	+	16.3640i	1.61445	+	0.777478i	0.999935	−	0.0114268i	$-0.00363735\pi$
$443$	33.9802	+	16.3640i	1.61445	+	0.777478i	0.614515	+	0.788905i	$0.289352\pi$
$444$	5.93208	+	25.9902i	0.281524	+	1.23344i
$445$	−21.8107	−	27.3498i	−1.03393	−	1.29650i
$446$	1.25121	+	5.48193i	0.0592467	+	0.259577i
$447$	1.14855	−	5.03211i	0.0543244	−	0.238011i
$448$	2.44776	+	1.00422i	0.115646	+	0.0474449i
$449$	5.67329	+	24.8563i	0.267739	+	1.17304i	0.912636	+	0.408772i	$0.134043\pi$
$449$	5.67329	+	24.8563i	0.267739	+	1.17304i	−0.644897	+	0.764269i	$0.723100\pi$
$450$	37.3522	−	17.9878i	1.76080	−	0.847955i
$451$	−1.19749	+	5.24656i	−0.0563878	+	0.247051i
$452$	8.04621	+	3.87485i	0.378462	+	0.182258i
$453$	−26.5420	+	33.2826i	−1.24705	+	1.56376i
$454$	−13.9607	−	6.72311i	−0.655207	−	0.315531i
$455$	17.7221	−	9.87296i	0.830824	−	0.462852i
$456$	2.34976	−	1.13158i	0.110038	−	0.0529913i
$457$	−6.44608	+	28.2421i	−0.301535	+	1.32111i	0.566276	+	0.824216i	$0.308384\pi$
$457$	−6.44608	+	28.2421i	−0.301535	+	1.32111i	−0.867811	+	0.496895i	$0.834474\pi$
$458$	10.1362	−	12.7103i	0.473632	−	0.593915i
$459$	−8.04257			−0.375395
$460$	10.8442			0.505614
$461$	24.4061	−	30.6043i	1.13671	−	1.42538i	0.246902	−	0.969041i	$-0.420588\pi$
$461$	24.4061	−	30.6043i	1.13671	−	1.42538i	0.889804	−	0.456343i	$-0.150841\pi$
$462$	27.2574	−	1.62315i	1.26813	−	0.0755159i
$463$	−13.8858	−	17.4123i	−0.645328	−	0.809216i	0.346330	−	0.938113i	$-0.387428\pi$
$463$	−13.8858	−	17.4123i	−0.645328	−	0.809216i	−0.991658	+	0.128897i	$0.958856\pi$
$464$	−3.37795	−	4.23582i	−0.156817	−	0.196643i
$465$	−64.8501	+	31.2302i	−3.00735	+	1.44826i
$466$	22.4917	−	10.8314i	1.04191	−	0.501756i
$467$	7.47747	+	9.37645i	0.346016	+	0.433891i	0.924137	−	0.382060i	$-0.124785\pi$
$467$	7.47747	+	9.37645i	0.346016	+	0.433891i	−0.578121	+	0.815951i	$0.696214\pi$
$468$	7.30651	+	9.16207i	0.337743	+	0.423517i
$469$	11.7609	+	13.0713i	0.543069	+	0.603578i
$470$	9.64456	−	12.0939i	0.444870	−	0.557850i
$471$	15.2968			0.704838
$472$	−3.96094			−0.182317
$473$	15.7626	−	19.7656i	0.724764	−	0.908825i
$474$	1.49331	−	6.54260i	0.0685899	−	0.300512i
$475$	6.17598	−	2.97420i	0.283374	−	0.136465i
$476$	−2.01537	−	2.23992i	−0.0923744	−	0.102667i
$477$	17.5259	+	8.44002i	0.802455	+	0.386442i
$478$	4.59481	−	5.76171i	0.210162	−	0.263535i
$479$	2.43696	+	1.17358i	0.111347	+	0.0536221i	0.488728	−	0.872436i	$-0.337461\pi$
$479$	2.43696	+	1.17358i	0.111347	+	0.0536221i	−0.377381	+	0.926058i	$0.623175\pi$
$480$	−2.29654	+	10.0618i	−0.104822	+	0.459257i
$481$	−17.8445	+	8.59344i	−0.813637	+	0.391827i
$482$	0.155649	+	0.681944i	0.00708963	+	0.0310617i
$483$	23.3994	−	1.39341i	1.06471	−	0.0634025i
$484$	−0.363190	+	1.59124i	−0.0165086	+	0.0723290i
$485$	1.77604	+	7.78134i	0.0806458	+	0.353332i
$486$	−5.58616	−	7.00483i	−0.253393	−	0.317745i
$487$	2.00235	+	8.77286i	0.0907350	+	0.397536i	0.999818	−	0.0190790i	$-0.00607340\pi$
$487$	2.00235	+	8.77286i	0.0907350	+	0.397536i	−0.909083	+	0.416615i	$0.863216\pi$
$488$	−8.92401	−	4.29758i	−0.403971	−	0.194542i
$489$	−6.04888			−0.273540
$490$	23.5381	+	8.05820i	1.06334	+	0.364032i
$491$	14.6816			0.662573			0.331286	−	0.943530i	$-0.392517\pi$
$491$	14.6816			0.662573			0.331286	+	0.943530i	$0.392517\pi$
$492$	−3.96131	−	1.90766i	−0.178589	−	0.0860041i
$493$	1.37298	+	6.01542i	0.0618359	+	0.270921i
$494$	1.20809	+	1.51490i	0.0543547	+	0.0681586i
$495$	15.2689	+	66.8973i	0.686285	+	3.00681i
$496$	1.55192	−	6.79939i	0.0696831	−	0.305302i
$497$	6.05861	−	36.4028i	0.271766	−	1.63289i
$498$	7.92539	+	34.7234i	0.355145	+	1.55599i
$499$	−14.7329	+	7.09499i	−0.659535	+	0.317615i	−0.733544	−	0.679642i	$-0.762135\pi$
$499$	−14.7329	+	7.09499i	−0.659535	+	0.317615i	0.0740088	+	0.997258i	$0.476421\pi$
$500$	−2.08172	+	9.12060i	−0.0930972	+	0.407886i
$501$	−30.0191	−	14.4565i	−1.34116	−	0.645867i
$502$	−8.45046	+	10.5965i	−0.377162	+	0.472947i
$503$	−40.2950	−	19.4050i	−1.79667	−	0.865228i	−0.931500	−	0.363742i	$-0.881499\pi$
$503$	−40.2950	−	19.4050i	−1.79667	−	0.865228i	−0.865165	−	0.501487i	$-0.832787\pi$
$504$	−2.35946	+	14.1767i	−0.105098	+	0.631479i
$505$	−36.5646	+	17.6086i	−1.62710	+	0.783571i
$506$	−2.41306	+	10.5723i	−0.107274	+	0.469997i
$507$	15.1099	−	18.9473i	0.671056	−	0.841478i
$508$	6.67499			0.296155
$509$	22.3805			0.991997			0.495998	−	0.868323i	$-0.334802\pi$
$509$	22.3805			0.991997			0.495998	+	0.868323i	$0.334802\pi$
$510$	7.32828	−	9.18938i	0.324502	−	0.406912i
$511$	−27.6850	−	11.3581i	−1.22471	−	0.502451i
$512$	−0.623490	−	0.781831i	−0.0275546	−	0.0345524i
$513$	3.95461	+	4.95892i	0.174600	+	0.218942i
$514$	−13.8885	+	6.68837i	−0.612597	+	0.295011i
$515$	44.3953	−	21.3796i	1.95629	−	0.942099i
$516$	12.8781	+	16.1487i	0.566928	+	0.710906i
$517$	9.64456	+	12.0939i	0.424167	+	0.531889i
$518$	−22.4720	−	9.21935i	−0.987361	−	0.405075i
$519$	−23.4303	+	29.3806i	−1.02847	+	1.28967i
$520$	−7.66762			−0.336248
$521$	−11.2752			−0.493976			−0.246988	−	0.969018i	$-0.579441\pi$
$521$	−11.2752			−0.493976			−0.246988	+	0.969018i	$0.579441\pi$
$522$	18.3490	−	23.0089i	0.803113	−	1.00707i
$523$	4.47846	−	19.6214i	0.195829	−	0.857984i	−0.777557	−	0.628813i	$-0.783541\pi$
$523$	4.47846	−	19.6214i	0.195829	−	0.857984i	0.973386	−	0.229171i	$-0.0736016\pi$
$524$	−4.24337	+	2.04350i	−0.185373	+	0.0892707i
$525$	−9.62644	+	57.8400i	−0.420132	+	2.52434i
$526$	−22.8240	−	10.9915i	−0.995175	−	0.479251i
$527$	−4.95217	+	6.20983i	−0.215720	+	0.270504i
$528$	−9.29851	−	4.47793i	−0.404666	−	0.194877i
$529$	3.04646	−	13.3474i	0.132455	−	0.580323i
$530$	−11.4673	+	5.52235i	−0.498107	+	0.239876i
$531$	−4.78771	−	20.9763i	−0.207769	−	0.910294i
$532$	−0.390124	+	2.34404i	−0.0169140	+	0.101627i
$533$	0.726870	−	3.18462i	0.0314842	−	0.137941i
$534$	6.35971	+	27.8637i	0.275212	+	1.20578i
$535$	2.52676	+	3.16845i	0.109241	+	0.136984i
$536$	−1.47886	−	6.47931i	−0.0638770	−	0.279863i
$537$	51.9389	+	25.0124i	2.24133	+	1.07937i
$538$	27.5164			1.18632
$539$	−13.0939	+	21.1548i	−0.563993	+	0.911202i
$540$	−25.0995			−1.08011
$541$	11.8150	+	5.68978i	0.507965	+	0.244623i	0.670269	−	0.742118i	$-0.266179\pi$
$541$	11.8150	+	5.68978i	0.507965	+	0.244623i	−0.162305	+	0.986741i	$0.551893\pi$
$542$	4.13046	+	18.0967i	0.177419	+	0.777321i
$543$	−18.5716	−	23.2881i	−0.796984	−	0.999386i
$544$	0.253420	+	1.11030i	0.0108653	+	0.0476039i
$545$	−10.2936	+	45.0990i	−0.440928	+	1.93183i
$546$	−16.5450	+	0.985242i	−0.708061	+	0.0421645i
$547$	−6.29220	−	27.5679i	−0.269035	−	1.17872i	−0.911138	−	0.412102i	$-0.864795\pi$
$547$	−6.29220	−	27.5679i	−0.269035	−	1.17872i	0.642103	−	0.766619i	$-0.278062\pi$
$548$	−1.13501	+	0.546590i	−0.0484850	+	0.0233492i
$549$	11.9724	−	52.4543i	0.510968	−	2.23870i
$550$	−24.4397	−	11.7695i	−1.04211	−	0.501855i
$551$	3.03391	−	3.80440i	0.129249	−	0.162073i
$552$	−7.98240	−	3.84412i	−0.339754	−	0.163617i
$553$	4.08977	+	4.54545i	0.173915	+	0.193292i
$554$	−10.9248	+	5.26110i	−0.464150	+	0.223523i
$555$	21.0837	−	92.3736i	0.894952	−	3.92104i
$556$	7.79487	−	9.77446i	0.330576	−	0.414529i
$557$	20.9204			0.886428			0.443214	−	0.896416i	$-0.353838\pi$
$557$	20.9204			0.886428			0.443214	+	0.896416i	$0.353838\pi$
$558$	37.8840			1.60376
$559$	−9.56776	+	11.9976i	−0.404673	+	0.507444i
$560$	−6.28962	−	6.99041i	−0.265785	−	0.295399i
$561$	7.32828	+	9.18938i	0.309400	+	0.387976i
$562$	6.34682	+	7.95866i	0.267725	+	0.335716i
$563$	16.3103	−	7.85463i	0.687398	−	0.331033i	−0.0573739	−	0.998353i	$-0.518273\pi$
$563$	16.3103	−	7.85463i	0.687398	−	0.331033i	0.744772	+	0.667319i	$0.232558\pi$
$564$	−11.3865	+	5.48343i	−0.479456	+	0.230894i
$565$	−19.7902	−	24.8161i	−0.832579	−	1.04402i
$566$	−4.46386	−	5.59750i	−0.187630	−	0.235281i
$567$	−11.1202	+	0.662200i	−0.467005	+	0.0278098i
$568$	−8.69659	+	10.9052i	−0.364901	+	0.457571i
$569$	31.7977			1.33303			0.666515	−	0.745491i	$-0.267785\pi$
$569$	31.7977			1.33303			0.666515	+	0.745491i	$0.267785\pi$
$570$	−9.26942			−0.388253
$571$	−22.4404	+	28.1394i	−0.939103	+	1.17760i	0.0448188	+	0.998995i	$0.485729\pi$
$571$	−22.4404	+	28.1394i	−0.939103	+	1.17760i	−0.983921	+	0.178602i	$0.942842\pi$
$572$	1.70621	−	7.47538i	0.0713401	−	0.312561i
$573$	45.0149	−	21.6781i	1.88053	−	0.905614i
$574$	3.49959	−	1.94962i	0.146070	−	0.0813757i
$575$	−20.9805	−	10.1037i	−0.874948	−	0.421353i
$576$	3.38679	−	4.24690i	0.141116	−	0.176954i
$577$	15.3583	+	7.39618i	0.639376	+	0.307907i	0.725340	−	0.688391i	$-0.241683\pi$
$577$	15.3583	+	7.39618i	0.639376	+	0.307907i	−0.0859639	+	0.996298i	$0.527397\pi$
$578$	−3.49425	+	15.3093i	−0.145342	+	0.636783i
$579$	28.8103	−	13.8743i	1.19732	−	0.576597i
$580$	4.28483	+	18.7731i	0.177918	+	0.779509i
$581$	−30.0230	−	12.3173i	−1.24556	−	0.511006i
$582$	1.45104	−	6.35741i	0.0601475	−	0.263523i
$583$	−2.83218	−	12.4086i	−0.117297	−	0.513912i
$584$	7.05187	+	8.84277i	0.291809	+	0.365916i
$585$	−9.26809	−	40.6061i	−0.383188	−	1.67886i
$586$	−13.6900	−	6.59276i	−0.565529	−	0.272344i
$587$	−30.9422			−1.27712			−0.638561	−	0.769571i	$-0.720470\pi$
$587$	−30.9422			−1.27712			−0.638561	+	0.769571i	$0.720470\pi$
$588$	−14.4698	−	14.2756i	−0.596725	−	0.588714i
$589$	6.26392			0.258100
$590$	12.6837	+	6.10816i	0.522181	+	0.251469i
$591$	−8.73858	−	38.2862i	−0.359457	−	1.57489i
$592$	5.72402	+	7.17769i	0.235256	+	0.295001i
$593$	−1.59701	−	6.99694i	−0.0655812	−	0.287330i	0.931494	−	0.363757i	$-0.118506\pi$
$593$	−1.59701	−	6.99694i	−0.0655812	−	0.287330i	−0.997075	+	0.0764267i	$0.975649\pi$
$594$	5.58515	−	24.4702i	0.229162	−	1.00402i
$595$	2.99944	+	10.2806i	0.122965	+	0.421463i
$596$	−0.395534	−	1.73295i	−0.0162017	−	0.0709843i
$597$	−66.3110	+	31.9337i	−2.71393	+	1.30696i
$598$	1.46471	−	6.41732i	0.0598965	−	0.262424i
$599$	26.0242	+	12.5326i	1.06332	+	0.512068i	0.881948	−	0.471346i	$-0.156232\pi$
$599$	26.0242	+	12.5326i	1.06332	+	0.512068i	0.181373	+	0.983414i	$0.441946\pi$
$600$	13.8179	−	17.3271i	0.564113	−	0.707375i
$601$	39.8756	+	19.2031i	1.62656	+	0.783309i	0.999992	+	0.00394128i	$0.00125455\pi$
$601$	39.8756	+	19.2031i	1.62656	+	0.783309i	0.626566	+	0.779368i	$0.284460\pi$
$602$	−18.7862	+	1.11870i	−0.765669	+	0.0455949i
$603$	32.5255	−	15.6635i	1.32454	−	0.637865i
$604$	−3.26220	+	14.2926i	−0.132737	+	0.581559i
$605$	3.61685	−	4.53539i	0.147046	−	0.184390i
$606$	33.1571			1.34692
$607$	−18.0653			−0.733249			−0.366625	−	0.930369i	$-0.619487\pi$
$607$	−18.0653			−0.733249			−0.366625	+	0.930369i	$0.619487\pi$
$608$	0.559987	−	0.702202i	0.0227105	−	0.0284780i
$609$	11.6579	+	39.9575i	0.472403	+	1.61916i
$610$	21.9492	+	27.5234i	0.888696	+	1.11439i
$611$	−5.85417	−	7.34090i	−0.236834	−	0.296981i
$612$	−5.57362	+	2.68411i	−0.225300	+	0.108499i
$613$	7.46615	−	3.59551i	0.301555	−	0.145221i	−0.276987	−	0.960874i	$-0.589336\pi$
$613$	7.46615	−	3.59551i	0.301555	−	0.145221i	0.578542	+	0.815652i	$0.303622\pi$
$614$	−7.10557	−	8.91010i	−0.286757	−	0.359582i
$615$	9.74309	+	12.2174i	0.392879	+	0.492655i
$616$	8.21471	−	4.57642i	0.330980	−	0.184389i
$617$	−7.79520	+	9.77487i	−0.313823	+	0.393521i	−0.913579	−	0.406661i	$-0.866693\pi$
$617$	−7.79520	+	9.77487i	−0.313823	+	0.393521i	0.599756	+	0.800183i	$0.295264\pi$
$618$	−40.2581			−1.61942
$619$	−17.5494			−0.705369			−0.352685	−	0.935742i	$-0.614731\pi$
$619$	−17.5494			−0.705369			−0.352685	+	0.935742i	$0.614731\pi$
$620$	−15.4549	+	19.3798i	−0.620683	+	0.778312i
$621$	4.79463	−	21.0067i	0.192402	−	0.842968i
$622$	−16.5712	+	7.98027i	−0.664445	+	0.319980i
$623$	−24.0919	−	9.88395i	−0.965222	−	0.395992i
$624$	5.64413	+	2.71807i	0.225946	+	0.108810i
$625$	−3.06192	+	3.83953i	−0.122477	+	0.153581i
$626$	−21.9792	−	10.5846i	−0.878464	−	0.423046i
$627$	2.06264	−	9.03702i	0.0823739	−	0.360904i
$628$	4.74619	−	2.28564i	0.189393	−	0.0912071i
$629$	−2.32655	−	10.1933i	−0.0927655	−	0.406432i
$630$	29.4173	−	41.7580i	1.17201	−	1.66368i
$631$	3.21293	−	14.0768i	0.127905	−	0.560387i	−0.869844	−	0.493326i	$-0.835781\pi$
$631$	3.21293	−	14.0768i	0.127905	−	0.560387i	0.997749	−	0.0670604i	$-0.0213620\pi$
$632$	−0.514262	−	2.25313i	−0.0204562	−	0.0896246i
$633$	−6.45544	−	8.09487i	−0.256581	−	0.321742i
$634$	1.86491	+	8.17071i	0.0740651	+	0.324501i
$635$	−21.3746	−	10.2935i	−0.848227	−	0.408485i
$636$	10.3986			0.412333
$637$	7.94789	−	12.8408i	0.314907	−	0.508771i
$638$	−19.2559			−0.762347
$639$	−68.2634	−	32.8739i	−2.70046	−	1.30047i
$640$	0.790878	+	3.46506i	0.0312622	+	0.136969i
$641$	−1.83512	−	2.30116i	−0.0724828	−	0.0908905i	0.744268	−	0.667881i	$-0.232798\pi$
$641$	−1.83512	−	2.30116i	−0.0724828	−	0.0908905i	−0.816751	+	0.576990i	$0.804227\pi$
$642$	−0.736768	−	3.22799i	−0.0290779	−	0.127399i
$643$	3.25069	−	14.2422i	0.128195	−	0.561658i	−0.869508	−	0.493918i	$-0.835564\pi$
$643$	3.25069	−	14.2422i	0.128195	−	0.561658i	0.997703	−	0.0677394i	$-0.0215786\pi$
$644$	7.05201	−	3.92867i	0.277888	−	0.154811i
$645$	−16.3355	−	71.5707i	−0.643211	−	2.81809i
$646$	−0.921569	+	0.443804i	−0.0362586	+	0.0174612i
$647$	−5.94433	+	26.0438i	−0.233696	+	1.02389i	0.712849	+	0.701317i	$0.247404\pi$
$647$	−5.94433	+	26.0438i	−0.233696	+	1.02389i	−0.946545	+	0.322571i	$0.895453\pi$
$648$	3.79352	+	1.82687i	0.149024	+	0.0717660i
$649$	−8.77741	+	11.0065i	−0.344543	+	0.432044i
$650$	14.8347	+	7.14402i	0.581865	+	0.280212i
$651$	−30.8580	+	43.8031i	−1.20942	+	1.71678i
$652$	−1.87681	+	0.903823i	−0.0735015	+	0.0353964i
$653$	−5.39075	+	23.6184i	−0.210957	+	0.924261i	0.752962	+	0.658064i	$0.228624\pi$
$653$	−5.39075	+	23.6184i	−0.210957	+	0.924261i	−0.963919	+	0.266197i	$0.914233\pi$
$654$	23.5641	−	29.5484i	0.921428	−	1.15543i
$655$	16.7394			0.654063
$656$	−1.51413			−0.0591169
$657$	−38.3057	+	48.0338i	−1.49445	+	1.87398i
$658$	1.89046	−	11.3587i	0.0736978	−	0.442810i
$659$	14.7246	+	18.4641i	0.573590	+	0.719259i	0.981005	−	0.193984i	$-0.0621410\pi$
$659$	14.7246	+	18.4641i	0.573590	+	0.719259i	−0.407415	+	0.913243i	$0.633570\pi$
$660$	22.8703	+	28.6784i	0.890225	+	1.11631i
$661$	27.2193	−	13.1081i	1.05871	−	0.509847i	0.178258	−	0.983984i	$-0.442954\pi$
$661$	27.2193	−	13.1081i	1.05871	−	0.509847i	0.880451	+	0.474136i	$0.157240\pi$
$662$	−23.4735	+	11.3042i	−0.912323	+	0.439352i
$663$	−4.44821	−	5.57788i	−0.172754	−	0.216627i
$664$	7.64741	+	9.58955i	0.296777	+	0.372147i
$665$	4.86399	−	6.90447i	0.188618	−	0.267744i
$666$	−31.0928	+	38.9891i	−1.20482	+	1.51080i
$667$	−16.5304			−0.640059
$668$	−11.4742			−0.443951
$669$	−10.1802	+	12.7655i	−0.393588	+	0.493544i
$670$	−5.25612	+	23.0286i	−0.203062	+	0.889672i
$671$	−31.7175	+	15.2743i	−1.22444	+	0.589659i
$672$	2.15178	+	7.37521i	0.0830066	+	0.284505i
$673$	44.3692	+	21.3671i	1.71031	+	0.823641i	0.991752	+	0.128171i	$0.0409106\pi$
$673$	44.3692	+	21.3671i	1.71031	+	0.823641i	0.718555	+	0.695470i	$0.244804\pi$
$674$	14.9744	−	18.7774i	0.576794	−	0.723277i
$675$	48.5605	+	23.3855i	1.86909	+	0.900108i
$676$	1.85712	−	8.13656i	0.0714276	−	0.312945i
$677$	1.54408	−	0.743591i	0.0593439	−	0.0285785i	−0.403976	−	0.914769i	$-0.632372\pi$
$677$	1.54408	−	0.743591i	0.0593439	−	0.0285785i	0.463320	+	0.886191i	$0.346658\pi$
$678$	5.77055	+	25.2824i	0.221617	+	0.970967i
$679$	3.97401	+	4.41679i	0.152508	+	0.169501i
$680$	0.900697	−	3.94621i	0.0345402	−	0.151330i
$681$	−10.0123	−	43.8666i	−0.383671	−	1.68097i
$682$	−15.4549	−	19.3798i	−0.591798	−	0.742091i
$683$	5.51427	+	24.1596i	0.210998	+	0.924441i	0.963891	+	0.266298i	$0.0858006\pi$
$683$	5.51427	+	24.1596i	0.210998	+	0.924441i	−0.752893	+	0.658143i	$0.771342\pi$
$684$	4.39559	+	2.11680i	0.168070	+	0.0809380i
$685$	4.47741			0.171073
$686$	18.2262	−	3.28719i	0.695880	−	0.125505i
$687$	47.2073			1.80107
$688$	6.40868	+	3.08626i	0.244329	+	0.117662i
$689$	1.71911	+	7.53193i	0.0654930	+	0.286944i
$690$	19.6332	+	24.6193i	0.747425	+	0.937241i
$691$	−6.74977	−	29.5727i	−0.256773	−	1.12500i	−0.924678	−	0.380750i	$-0.875666\pi$
$691$	−6.74977	−	29.5727i	−0.256773	−	1.12500i	0.667905	−	0.744247i	$-0.267191\pi$
$692$	−2.87974	+	12.6170i	−0.109471	+	0.479626i
$693$	34.1651	+	37.9718i	1.29783	+	1.44243i
$694$	−6.12929	−	26.8542i	−0.232665	−	1.01937i
$695$	−40.0339	+	19.2793i	−1.51857	+	0.731306i
$696$	3.50074	−	15.3377i	0.132695	−	0.581376i
$697$	1.55361	+	0.748180i	0.0588473	+	0.0283394i
$698$	10.7758	−	13.5124i	0.407869	−	0.511452i
$699$	65.3111	+	31.4522i	2.47029	+	1.18963i
$700$	5.65562	+	19.3846i	0.213762	+	0.732669i
$701$	−9.15484	+	4.40874i	−0.345773	+	0.166516i	−0.598707	−	0.800968i	$-0.704319\pi$
$701$	−9.15484	+	4.40874i	−0.345773	+	0.166516i	0.252934	+	0.967484i	$0.418604\pi$
$702$	−3.39015	+	14.8532i	−0.127953	+	0.560598i
$703$	−5.14103	+	6.44664i	−0.193897	+	0.243140i
$704$	−3.55417			−0.133953
$705$	44.9177			1.69170
$706$	−1.74375	+	2.18659i	−0.0656269	+	0.0822935i
$707$	−17.3987	+	24.6976i	−0.654346	+	0.928849i
$708$	−7.17121	−	8.99241i	−0.269511	−	0.337955i
$709$	−26.7279	−	33.5157i	−1.00379	−	1.25871i	−0.965762	−	0.259431i	$-0.916465\pi$
$709$	−26.7279	−	33.5157i	−1.00379	−	1.25871i	−0.0380239	−	0.999277i	$-0.512106\pi$
$710$	44.6651	−	21.5096i	1.67625	−	0.807239i
$711$	11.3105	−	5.44685i	0.424177	−	0.204273i
$712$	6.13665	+	7.69511i	0.229981	+	0.288387i
$713$	−13.2674	−	16.6368i	−0.496868	−	0.623053i
$714$	1.43644	−	8.63078i	0.0537574	−	0.322999i
$715$	−16.9914	+	21.3065i	−0.635442	+	0.796819i
$716$	19.8526			0.741927
$717$	21.3995			0.799179
$718$	8.41692	−	10.5545i	0.314117	−	0.393890i
$719$	−4.44711	+	19.4841i	−0.165849	+	0.726634i	0.821777	+	0.569809i	$0.192983\pi$
$719$	−4.44711	+	19.4841i	−0.165849	+	0.726634i	−0.987626	+	0.156825i	$0.949874\pi$
$720$	−17.3943	+	8.37665i	−0.648247	+	0.312179i
$721$	21.1248	−	29.9869i	0.786730	−	1.11677i
$722$	−16.3916	−	7.89379i	−0.610033	−	0.293776i
$723$	−1.26640	+	1.58801i	−0.0470979	+	0.0590588i
$724$	−9.24198	−	4.45070i	−0.343475	−	0.165409i
$725$	9.20115	−	40.3129i	0.341722	−	1.49718i
$726$	−4.27009	+	2.05637i	−0.158478	+	0.0763190i
$727$	3.16980	+	13.8878i	0.117561	+	0.515070i	0.999079	+	0.0429182i	$0.0136655\pi$
$727$	3.16980	+	13.8878i	0.117561	+	0.515070i	−0.881517	+	0.472152i	$0.843477\pi$
$728$	−4.98627	+	2.77785i	−0.184803	+	0.102954i
$729$	8.59999	−	37.6790i	0.318518	−	1.39552i
$730$	−8.94509	−	39.1910i	−0.331073	−	1.45052i
$731$	−5.05077	−	6.33346i	−0.186809	−	0.234252i
$732$	−6.40009	−	28.0406i	−0.236554	−	1.03641i
$733$	15.1950	+	7.31754i	0.561241	+	0.270279i	0.692922	−	0.721013i	$-0.256323\pi$
$733$	15.1950	+	7.31754i	0.561241	+	0.270279i	−0.131681	+	0.991292i	$0.542037\pi$
$734$	12.7554			0.470810
$735$	24.3210	+	68.0271i	0.897092	+	2.50922i
$736$	−3.05112			−0.112466
$737$	−21.2816	−	10.2487i	−0.783918	−	0.377515i
$738$	−1.83018	−	8.01853i	−0.0673697	−	0.295166i
$739$	8.72126	+	10.9361i	0.320817	+	0.402291i	0.915922	−	0.401356i	$-0.131461\pi$
$739$	8.72126	+	10.9361i	0.320817	+	0.402291i	−0.595105	+	0.803648i	$0.702890\pi$
$740$	−7.26075	−	31.8114i	−0.266910	−	1.16941i
$741$	−1.25201	+	5.48540i	−0.0459936	+	0.201511i
$742$	−5.45654	+	7.74559i	−0.200316	+	0.284350i
$743$	0.595647	+	2.60970i	0.0218522	+	0.0957407i	0.984678	−	0.174382i	$-0.0557928\pi$
$743$	0.595647	+	2.60970i	0.0218522	+	0.0957407i	−0.962826	+	0.270123i	$0.912936\pi$
$744$	18.2462	−	8.78690i	0.668938	−	0.322143i
$745$	−1.40580	+	6.15920i	−0.0515044	+	0.225656i
$746$	5.38346	+	2.59254i	0.197102	+	0.0949195i
$747$	−41.5406	+	52.0903i	−1.51989	+	1.90588i
$748$	3.64685	+	1.75623i	0.133342	+	0.0642141i
$749$	2.79103	+	1.14505i	0.101982	+	0.0418392i
$750$	−24.4752	+	11.7866i	−0.893707	+	0.430386i
$751$	−8.45215	+	37.0313i	−0.308423	+	1.35129i	0.548631	+	0.836064i	$0.315149\pi$
$751$	−8.45215	+	37.0313i	−0.308423	+	1.35129i	−0.857054	+	0.515226i	$0.827708\pi$
$752$	−2.71358	+	3.40273i	−0.0989543	+	0.124085i
$753$	−39.3564			−1.43423
$754$	11.6882			0.425658
$755$	32.4869	−	40.7373i	1.18232	−	1.48258i
$756$	−16.3222	+	9.09311i	−0.593633	+	0.330713i
$757$	25.2142	+	31.6177i	0.916427	+	1.14916i	0.988418	+	0.151758i	$0.0484935\pi$
$757$	25.2142	+	31.6177i	0.916427	+	1.14916i	−0.0719903	+	0.997405i	$0.522935\pi$
$758$	−1.15955	−	1.45402i	−0.0421166	−	0.0528125i
$759$	−28.3709	+	13.6627i	−1.02980	+	0.495924i
$760$	−2.87606	+	1.38504i	−0.104326	+	0.0502405i
$761$	0.984102	+	1.23402i	0.0356737	+	0.0447334i	0.799348	−	0.600868i	$-0.205178\pi$
$761$	0.984102	+	1.23402i	0.0356737	+	0.0447334i	−0.763675	+	0.645601i	$0.776607\pi$
$762$	12.0849	+	15.1540i	0.437791	+	0.548973i
$763$	9.64469	+	33.0572i	0.349161	+	1.19675i
$764$	10.7278	−	13.4523i	0.388119	−	0.486686i
$765$	21.9870			0.794943
$766$	−2.88296			−0.104165
$767$	5.32782	−	6.68087i	0.192376	−	0.241232i
$768$	0.646154	−	2.83098i	0.0233161	−	0.102154i
$769$	−19.2698	+	9.27983i	−0.694885	+	0.334639i	−0.747767	−	0.663962i	$-0.768874\pi$
$769$	−19.2698	+	9.27983i	−0.694885	+	0.334639i	0.0528813	+	0.998601i	$0.483159\pi$
$770$	−33.3625	+	1.98671i	−1.20230	+	0.0715959i
$771$	−40.3294	−	19.4216i	−1.45243	−	0.699452i
$772$	6.86598	−	8.60966i	0.247112	−	0.309869i
$773$	38.1551	+	18.3745i	1.37234	+	0.660885i	0.967352	−	0.253436i	$-0.0815608\pi$
$773$	38.1551	+	18.3745i	1.37234	+	0.660885i	0.404990	+	0.914321i	$0.367275\pi$
$774$	−8.59782	+	37.6695i	−0.309042	+	1.35400i
$775$	47.9573	−	23.0950i	1.72268	−	0.829597i
$776$	−0.499705	−	2.18935i	−0.0179384	−	0.0785932i
$777$	−19.7546	−	67.7089i	−0.708693	−	2.42904i
$778$	−2.95525	+	12.9478i	−0.105951	+	0.464201i
$779$	−0.302610	−	1.32582i	−0.0108421	−	0.0475025i
$780$	−13.8821	−	17.4076i	−0.497059	−	0.623292i
$781$	11.0314	+	48.3315i	0.394733	+	1.72944i
$782$	3.13068	+	1.50765i	0.111953	+	0.0539136i
$783$	38.2604			1.36732
$784$	−6.62266	−	2.26725i	−0.236523	−	0.0809732i
$785$	−18.7229			−0.668250
$786$	−12.3218	−	5.93389i	−0.439506	−	0.211655i
$787$	−2.70578	−	11.8548i	−0.0964505	−	0.422577i	0.903532	−	0.428521i	$-0.140965\pi$
$787$	−2.70578	−	11.8548i	−0.0964505	−	0.422577i	−0.999982	+	0.00594361i	$0.998108\pi$
$788$	−8.43208	−	10.5735i	−0.300380	−	0.376665i
$789$	−16.3689	−	71.7166i	−0.582747	−	2.55318i
$790$	−1.82778	+	8.00801i	−0.0650294	+	0.284912i
$791$	−21.8600	−	8.96831i	−0.777254	−	0.318876i
$792$	−4.29604	−	18.8222i	−0.152653	−	0.668817i
$793$	19.2523	−	9.27141i	0.683668	−	0.329237i
$794$	−5.82470	+	25.5197i	−0.206711	+	0.905660i
$795$	−33.2985	−	16.0357i	−1.18098	−	0.568729i
$796$	−15.8030	+	19.8164i	−0.560123	+	0.702372i
$797$	−16.1939	−	7.79859i	−0.573619	−	0.276240i	0.124503	−	0.992219i	$-0.460266\pi$
$797$	−16.1939	−	7.79859i	−0.573619	−	0.276240i	−0.698122	+	0.715979i	$0.745981\pi$
$798$	−6.02792	+	3.35815i	−0.213386	+	0.118877i
$799$	4.46574	−	2.15059i	0.157986	−	0.0760822i
$800$	1.69832	−	7.44080i	0.0600445	−	0.263072i
$801$	−33.3342	+	41.7997i	−1.17781	+	1.47692i
$802$	−31.2981			−1.10517
$803$	40.1989			1.41859
$804$	12.0323	−	15.0881i	0.424348	−	0.532116i
$805$	−28.6403	+	1.70551i	−1.00944	+	0.0601113i
$806$	9.38099	+	11.7634i	0.330431	+	0.414348i
$807$	49.8180	+	62.4698i	1.75368	+	2.19904i
$808$	10.2878	−	4.95433i	0.361923	−	0.174293i
$809$	−49.6016	+	23.8869i	−1.74390	+	0.839818i	−0.762719	+	0.646731i	$0.776136\pi$
$809$	−49.6016	+	23.8869i	−1.74390	+	0.839818i	−0.981182	+	0.193088i	$0.938150\pi$
$810$	−9.33042	−	11.7000i	−0.327838	−	0.411095i
$811$	10.1410	+	12.7165i	0.356100	+	0.446535i	0.927324	−	0.374259i	$-0.122103\pi$
$811$	10.1410	+	12.7165i	0.356100	+	0.446535i	−0.571224	+	0.820794i	$0.693531\pi$
$812$	9.58760	+	10.6558i	0.336459	+	0.373947i
$813$	−33.6064	+	42.1411i	−1.17863	+	1.47795i
$814$	32.6295			1.14366
$815$	7.40370			0.259340
$816$	−2.06188	+	2.58552i	−0.0721802	+	0.0905112i
$817$	−1.42160	+	6.22845i	−0.0497356	+	0.217906i
$818$	10.4277	−	5.02172i	0.364597	−	0.175580i
$819$	−20.7380	−	23.0486i	−0.724643	−	0.805382i
$820$	4.84855	+	2.33494i	0.169319	+	0.0815397i
$821$	1.76400	−	2.21198i	0.0615639	−	0.0771987i	−0.750096	−	0.661329i	$-0.769993\pi$
$821$	1.76400	−	2.21198i	0.0615639	−	0.0771987i	0.811660	+	0.584130i	$0.198564\pi$
$822$	−3.29582	−	1.58718i	−0.114955	−	0.0553593i
$823$	2.28554	−	10.0136i	0.0796689	−	0.349052i	−0.919345	−	0.393452i	$-0.871281\pi$
$823$	2.28554	−	10.0136i	0.0796689	−	0.349052i	0.999014	+	0.0444004i	$0.0141377\pi$
$824$	−12.4910	+	6.01536i	−0.435145	+	0.209555i
$825$	−17.5276	−	76.7933i	−0.610232	−	2.67360i
$826$	10.4611	−	0.622951i	0.363989	−	0.0216752i
$827$	−1.41605	+	6.20414i	−0.0492410	+	0.215739i	−0.993563	−	0.113285i	$-0.963863\pi$
$827$	−1.41605	+	6.20414i	−0.0492410	+	0.215739i	0.944321	+	0.329024i	$0.106720\pi$
$828$	−3.68798	−	16.1581i	−0.128166	−	0.561532i
$829$	−24.4948	−	30.7155i	−0.850740	−	1.06679i	−0.996989	−	0.0775466i	$-0.975291\pi$
$829$	−24.4948	−	30.7155i	−0.850740	−	1.06679i	0.146249	−	0.989248i	$-0.453280\pi$
$830$	−9.70051	−	42.5007i	−0.336710	−	1.47522i
$831$	−31.7233	−	15.2771i	−1.10047	−	0.529958i
$832$	2.15736			0.0747929
$833$	5.67502	+	5.59883i	0.196628	+	0.193988i
$834$	36.3032			1.25708
$835$	36.7428	+	17.6944i	1.27154	+	0.612340i
$836$	−0.710327	−	3.11215i	−0.0245672	−	0.107636i
$837$	30.7081	+	38.5067i	1.06143	+	1.33099i
$838$	−0.973442	−	4.26493i	−0.0336270	−	0.147330i
$839$	7.00297	−	30.6820i	0.241769	−	1.05926i	−0.697636	−	0.716452i	$-0.745765\pi$
$839$	7.00297	−	30.6820i	0.241769	−	1.05926i	0.939405	−	0.342808i	$-0.111378\pi$
$840$	4.48288	−	26.9352i	0.154674	−	0.929351i
$841$	−0.0784838	−	0.343860i	−0.00270634	−	0.0118572i
$842$	34.8385	−	16.7773i	1.20061	−	0.578185i
$843$	−6.57753	+	28.8180i	−0.226542	+	0.992546i
$844$	−3.21249	−	1.54705i	−0.110578	−	0.0532518i
$845$	−18.4942	+	23.1911i	−0.636221	+	0.797796i
$846$	−21.3001	−	10.2576i	−0.732314	−	0.352664i
$847$	0.708950	−	4.25969i	0.0243598	−	0.146365i
$848$	3.22642	−	1.55376i	0.110796	−	0.0533565i
$849$	4.62612	−	20.2684i	0.158768	−	0.695608i
$850$	−5.41933	+	6.79563i	−0.185882	+	0.233088i
$851$	28.0111			0.960209
$852$	−40.5027			−1.38760
$853$	32.4211	−	40.6548i	1.11008	−	1.39199i	0.198882	−	0.980023i	$-0.436269\pi$
$853$	32.4211	−	40.6548i	1.11008	−	1.39199i	0.911197	−	0.411971i	$-0.135160\pi$
$854$	24.2449	+	9.94670i	0.829642	+	0.340369i
$855$	−10.8112	−	13.5569i	−0.369737	−	0.463635i
$856$	−0.710926	−	0.891473i	−0.0242990	−	0.0304699i
$857$	2.71076	−	1.30543i	0.0925978	−	0.0445927i	−0.387012	−	0.922075i	$-0.626493\pi$
$857$	2.71076	−	1.30543i	0.0925978	−	0.0445927i	0.479609	+	0.877482i	$0.340778\pi$
$858$	20.0602	−	9.66049i	0.684844	−	0.329804i
$859$	10.9408	+	13.7194i	0.373296	+	0.468099i	0.932625	−	0.360847i	$-0.117512\pi$
$859$	10.9408	+	13.7194i	0.373296	+	0.468099i	−0.559329	+	0.828946i	$0.688941\pi$
$860$	−15.7626	−	19.7656i	−0.537499	−	0.674003i
$861$	10.7621	+	4.41527i	0.366772	+	0.150472i
$862$	−9.16105	+	11.4876i	−0.312027	+	0.391269i
$863$	−5.62390			−0.191440			−0.0957199	−	0.995408i	$-0.530515\pi$
$863$	−5.62390			−0.191440			−0.0957199	+	0.995408i	$0.530515\pi$
$864$	7.06196			0.240253
$865$	28.6781	−	35.9613i	0.975086	−	1.22272i
$866$	−2.70830	+	11.8658i	−0.0920318	+	0.403218i
$867$	−41.0826	+	19.7843i	−1.39524	+	0.671911i
$868$	−3.02936	+	18.2018i	−0.102823	+	0.617808i
$869$	−7.40051	−	3.56390i	−0.251045	−	0.120897i
$870$	−34.8624	+	43.7160i	−1.18195	+	1.48211i
$871$	12.9178	+	6.22087i	0.437702	+	0.210786i
$872$	2.89619	−	12.6890i	0.0980773	−	0.429705i
$873$	10.9903	−	5.29267i	0.371967	−	0.179130i
$874$	−0.609788	−	2.67165i	−0.0206264	−	0.0903701i
$875$	4.06354	−	24.4156i	0.137373	−	0.825397i
$876$	−7.30821	+	32.0193i	−0.246921	+	1.08183i
$877$	−6.51132	−	28.5280i	−0.219872	−	0.963321i	−0.957572	−	0.288193i	$-0.906946\pi$
$877$	−6.51132	−	28.5280i	−0.219872	−	0.963321i	0.737701	−	0.675128i	$-0.235912\pi$
$878$	−4.66997	−	5.85596i	−0.157604	−	0.197629i
$879$	−9.81815	−	43.0161i	−0.331158	−	1.45090i
$880$	11.3812	+	5.48089i	0.383660	+	0.184761i
$881$	23.8966			0.805097			0.402549	−	0.915399i	$-0.368124\pi$
$881$	23.8966			0.805097			0.402549	+	0.915399i	$0.368124\pi$
$882$	4.00188	−	37.8127i	0.134750	−	1.27322i
$883$	−39.3907			−1.32560			−0.662802	−	0.748795i	$-0.730633\pi$
$883$	−39.3907			−1.32560			−0.662802	+	0.748795i	$0.730633\pi$
$884$	−2.21361	−	1.06602i	−0.0744517	−	0.0358541i
$885$	9.09646	+	39.8542i	0.305774	+	1.33968i
$886$	23.5151	+	29.4869i	0.790004	+	0.990633i
$887$	8.94777	+	39.2027i	0.300437	+	1.31630i	0.869471	+	0.493985i	$0.164460\pi$
$887$	8.94777	+	39.2027i	0.300437	+	1.31630i	−0.569034	+	0.822314i	$0.692683\pi$
$888$	−5.93208	+	25.9902i	−0.199068	+	0.872173i
$889$	−17.6291	+	1.04980i	−0.591262	+	0.0352091i
$890$	−7.78416	−	34.1046i	−0.260925	−	1.14319i
$891$	13.4829	−	6.49300i	0.451693	−	0.217524i
$892$	−1.25121	+	5.48193i	−0.0418938	+	0.183549i
$893$	−3.52186	−	1.69604i	−0.117855	−	0.0567558i
$894$	3.21816	−	4.03544i	0.107631	−	0.134965i
$895$	−63.5721	−	30.6147i	−2.12498	−	1.02334i
$896$	1.76964	+	1.96682i	0.0591196	+	0.0657067i
$897$	17.2209	−	8.29315i	0.574989	−	0.276900i
$898$	−5.67329	+	24.8563i	−0.189320	+	0.829466i
$899$	23.5587	−	29.5416i	0.785726	−	0.985269i
$900$	41.4578			1.38193
$901$	−4.07832			−0.135868
$902$	−3.35530	+	4.20742i	−0.111719	+	0.140092i
$903$	−36.5519	−	40.6244i	−1.21637	−	1.35190i
$904$	5.56815	+	6.98224i	0.185194	+	0.232226i
$905$	22.7312	+	28.5041i	0.755612	+	0.947508i
$906$	−38.3543	+	18.4705i	−1.27424	+	0.613640i
$907$	4.65629	−	2.24235i	0.154610	−	0.0744561i	−0.354979	−	0.934874i	$-0.615512\pi$
$907$	4.65629	−	2.24235i	0.154610	−	0.0744561i	0.509588	+	0.860418i	$0.329798\pi$
$908$	−9.66109	−	12.1146i	−0.320615	−	0.402038i
$909$	38.6723	+	48.4935i	1.28268	+	1.60843i
$910$	20.2508	−	1.20592i	0.671306	−	0.0399757i
$911$	−0.796304	+	0.998534i	−0.0263827	+	0.0330829i	−0.794848	−	0.606809i	$-0.792449\pi$
$911$	−0.796304	+	0.998534i	−0.0263827	+	0.0330829i	0.768465	+	0.639892i	$0.221021\pi$
$912$	2.60804			0.0863607
$913$	43.5937			1.44274
$914$	−18.0615	+	22.6484i	−0.597422	+	0.749143i
$915$	−22.7470	+	99.6613i	−0.751994	+	3.29470i
$916$	14.6472	−	7.05371i	0.483956	−	0.233061i
$917$	10.8857	−	6.06440i	0.359476	−	0.200264i
$918$	−7.24610	−	3.48954i	−0.239157	−	0.115172i
$919$	29.7198	−	37.2675i	0.980367	−	1.22934i	0.00702646	−	0.999975i	$-0.497763\pi$
$919$	29.7198	−	37.2675i	0.980367	−	1.22934i	0.973340	−	0.229366i	$-0.0736652\pi$
$920$	9.77029	+	4.70512i	0.322117	+	0.155123i
$921$	7.36385	−	32.2631i	0.242647	−	1.06311i
$922$	35.2678	−	16.9841i	1.16148	−	0.559341i
$923$	−6.69595	−	29.3369i	−0.220400	−	0.965635i
$924$	25.2623	+	10.3641i	0.831069	+	0.340955i
$925$	−15.5916	+	68.3111i	−0.512648	+	2.24606i
$926$	−4.95579	−	21.7127i	−0.162857	−	0.713525i
$927$	−46.9543	−	58.8789i	−1.54218	−	1.93384i
$928$	−1.20558	−	5.28198i	−0.0395750	−	0.173389i
$929$	21.6020	+	10.4030i	0.708739	+	0.341311i	0.753283	−	0.657697i	$-0.228469\pi$
$929$	21.6020	+	10.4030i	0.708739	+	0.341311i	−0.0445440	+	0.999007i	$0.514183\pi$
$930$	−71.9782			−2.36026
$931$	0.661689	−	6.25213i	0.0216860	−	0.204905i
$932$	24.9639			0.817719
$933$	−48.1193	−	23.1730i	−1.57535	−	0.758651i
$934$	2.66868	+	11.6922i	0.0873218	+	0.382582i
$935$	−8.96966	−	11.2476i	−0.293339	−	0.367836i
$936$	2.60766	+	11.4249i	0.0852341	+	0.373435i
$937$	7.31369	−	32.0434i	0.238928	−	1.04681i	−0.703051	−	0.711139i	$-0.748179\pi$
$937$	7.31369	−	32.0434i	0.238928	−	1.04681i	0.941979	−	0.335672i	$-0.108963\pi$
$938$	4.92480	+	16.8797i	0.160800	+	0.551143i
$939$	−15.7629	−	69.0619i	−0.514404	−	2.25375i
$940$	13.9368	−	6.71160i	0.454568	−	0.218908i
$941$	−0.765047	+	3.35189i	−0.0249398	+	0.109268i	−0.985866	−	0.167537i	$-0.946419\pi$
$941$	−0.765047	+	3.35189i	−0.0249398	+	0.109268i	0.960926	+	0.276805i	$0.0892758\pi$
$942$	13.7819	+	6.63702i	0.449039	+	0.216246i
$943$	−2.88039	+	3.61190i	−0.0937986	+	0.117620i
$944$	−3.56868	−	1.71859i	−0.116151	−	0.0559352i
$945$	66.2895	−	3.94748i	2.15640	−	0.128412i
$946$	22.7776	−	10.9691i	0.740563	−	0.356636i
$947$	1.53015	−	6.70400i	0.0497230	−	0.217851i	−0.943962	−	0.330053i	$-0.892933\pi$
$947$	1.53015	−	6.70400i	0.0497230	−	0.217851i	0.993685	+	0.112202i	$0.0357905\pi$
$948$	4.18415	−	5.24676i	0.135895	−	0.170407i
$949$	−24.4004			−0.792071
$950$	6.85482			0.222400
$951$	−15.1734	+	19.0268i	−0.492030	+	0.616986i
$952$	−0.843921	−	2.89254i	−0.0273516	−	0.0937476i
$953$	5.06657	+	6.35327i	0.164122	+	0.205803i	0.857091	−	0.515165i	$-0.172269\pi$
$953$	5.06657	+	6.35327i	0.164122	+	0.205803i	−0.692969	+	0.720967i	$0.743698\pi$
$954$	12.1283	+	15.2084i	0.392668	+	0.492390i
$955$	−55.0973	+	26.5335i	−1.78291	+	0.858603i
$956$	6.63970	−	3.19751i	0.214743	−	0.103415i
$957$	−34.8624	−	43.7160i	−1.12694	−	1.41314i
$958$	1.68643	+	2.11471i	0.0544860	+	0.0683233i
$959$	2.91167	−	1.62209i	0.0940227	−	0.0523800i
$960$	−6.43477	+	8.06895i	−0.207681	+	0.260424i
$961$	17.6401			0.569037
$962$	−19.8059			−0.638566
$963$	3.86174	−	4.84247i	0.124443	−	0.156046i
$964$	−0.155649	+	0.681944i	−0.00501312	+	0.0219639i
$965$	−35.2632	+	16.9819i	−1.13516	+	0.546665i
$966$	21.6867	+	8.89719i	0.697758	+	0.286262i
$967$	−14.3605	−	6.91567i	−0.461803	−	0.222393i	0.188491	−	0.982075i	$-0.439640\pi$
$967$	−14.3605	−	6.91567i	−0.461803	−	0.222393i	−0.650295	+	0.759682i	$0.725355\pi$
$968$	−1.01763	+	1.27607i	−0.0327080	+	0.0410146i
$969$	−2.67604	−	1.28871i	−0.0859668	−	0.0413994i
$970$	−1.77604	+	7.78134i	−0.0570252	+	0.249844i
$971$	−30.9615	+	14.9103i	−0.993601	+	0.478493i	−0.858762	−	0.512374i	$-0.828766\pi$
$971$	−30.9615	+	14.9103i	−0.993601	+	0.478493i	−0.134839	+	0.990868i	$0.543052\pi$
$972$	−1.99368	−	8.73488i	−0.0639473	−	0.280171i
$973$	−19.0496	+	27.0410i	−0.610701	+	0.866894i
$974$	−2.00235	+	8.77286i	−0.0641594	+	0.281101i
$975$	10.6391	+	46.6130i	0.340724	+	1.49281i
$976$	−6.17561	−	7.74397i	−0.197676	−	0.247878i
$977$	0.572651	+	2.50895i	0.0183207	+	0.0802684i	0.983262	−	0.182198i	$-0.0583212\pi$
$977$	0.572651	+	2.50895i	0.0183207	+	0.0802684i	−0.964941	+	0.262466i	$0.915464\pi$
$978$	−5.44985	−	2.62451i	−0.174267	−	0.0839226i
$979$	34.9817			1.11802
$980$	17.7108	+	17.4730i	0.565749	+	0.558154i
$981$	70.6992			2.25725
$982$	13.2277	+	6.37012i	0.422113	+	0.203279i
$983$	−0.579471	−	2.53883i	−0.0184822	−	0.0809760i	0.964846	−	0.262817i	$-0.0846515\pi$
$983$	−0.579471	−	2.53883i	−0.0184822	−	0.0809760i	−0.983328	+	0.181841i	$0.941794\pi$
$984$	−2.74131	−	3.43749i	−0.0873897	−	0.109583i
$985$	10.6958	+	46.8615i	0.340798	+	1.49313i
$986$	−1.37298	+	6.01542i	−0.0437246	+	0.191570i
$987$	29.2101	−	16.2729i	0.929767	−	0.517973i
$988$	0.431163	+	1.88905i	0.0137171	+	0.0600987i
$989$	19.5536	−	9.41654i	0.621770	−	0.299428i
$990$	−15.2689	+	66.8973i	−0.485277	+	2.12614i
$991$	5.76500	+	2.77628i	0.183131	+	0.0881914i	0.523203	−	0.852208i	$-0.324737\pi$
$991$	5.76500	+	2.77628i	0.183131	+	0.0881914i	−0.340072	+	0.940400i	$0.610451\pi$
$992$	4.34837	−	5.45269i	0.138061	−	0.173123i
$993$	−68.1621	−	32.8251i	−2.16306	−	1.04167i
$994$	21.2532	−	30.1691i	0.674111	−	0.956906i
$995$	81.1632	−	39.0861i	2.57305	−	1.23911i
$996$	−7.92539	+	34.7234i	−0.251126	+	1.10025i
$997$	−22.2573	+	27.9097i	−0.704895	+	0.883910i	−0.997379	−	0.0723601i	$-0.976947\pi$
$997$	−22.2573	+	27.9097i	−0.704895	+	0.883910i	0.292484	+	0.956271i	$0.405518\pi$
$998$	−16.3523			−0.517622
$999$	−64.8331			−2.05123

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	98.2.e.b.29.3	✓	18
3.2	odd	2		882.2.u.g.127.3		18
4.3	odd	2		784.2.u.d.225.1		18
7.2	even	3		686.2.g.h.459.1		36
7.3	odd	6		686.2.g.g.373.1		36
7.4	even	3		686.2.g.h.373.3		36
7.5	odd	6		686.2.g.g.459.3		36
7.6	odd	2		686.2.e.b.197.1		18
49.4	even	21		686.2.g.h.275.1		36
49.13	odd	14		4802.2.a.c.1.8		9
49.22	even	7	inner	98.2.e.b.71.3	yes	18
49.23	even	21		686.2.g.h.263.3		36
49.26	odd	42		686.2.g.g.263.1		36
49.27	odd	14		686.2.e.b.491.1		18
49.36	even	7		4802.2.a.d.1.2		9
49.45	odd	42		686.2.g.g.275.3		36
147.71	odd	14		882.2.u.g.757.3		18
196.71	odd	14		784.2.u.d.561.1		18

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
98.2.e.b.29.3	✓	18	1.1	even	1	trivial
98.2.e.b.71.3	yes	18	49.22	even	7	inner
686.2.e.b.197.1		18	7.6	odd	2
686.2.e.b.491.1		18	49.27	odd	14
686.2.g.g.263.1		36	49.26	odd	42
686.2.g.g.275.3		36	49.45	odd	42
686.2.g.g.373.1		36	7.3	odd	6
686.2.g.g.459.3		36	7.5	odd	6
686.2.g.h.263.3		36	49.23	even	21
686.2.g.h.275.1		36	49.4	even	21
686.2.g.h.373.3		36	7.4	even	3
686.2.g.h.459.1		36	7.2	even	3
784.2.u.d.225.1		18	4.3	odd	2
784.2.u.d.561.1		18	196.71	odd	14
882.2.u.g.127.3		18	3.2	odd	2
882.2.u.g.757.3		18	147.71	odd	14
4802.2.a.c.1.8		9	49.13	odd	14
4802.2.a.d.1.2		9	49.36	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)

\(f(q)\)	\(=\)	\(q+(0.900969 + 0.433884i) q^{2} +(0.646154 + 2.83098i) q^{3} +(0.623490 + 0.781831i) q^{4} +(-0.790878 - 3.46506i) q^{5} +(-0.646154 + 2.83098i) q^{6} +(-1.76964 - 1.96682i) q^{7} +(0.222521 + 0.974928i) q^{8} +(-4.89405 + 2.35685i) q^{9} +O(q^{10})\)	\(q+(0.900969 + 0.433884i) q^{2} +(0.646154 + 2.83098i) q^{3} +(0.623490 + 0.781831i) q^{4} +(-0.790878 - 3.46506i) q^{5} +(-0.646154 + 2.83098i) q^{6} +(-1.76964 - 1.96682i) q^{7} +(0.222521 + 0.974928i) q^{8} +(-4.89405 + 2.35685i) q^{9} +(0.790878 - 3.46506i) q^{10} +(3.20220 + 1.54210i) q^{11} +(-1.81048 + 2.27027i) q^{12} +(-1.94371 - 0.936042i) q^{13} +(-0.741024 - 2.53986i) q^{14} +(9.29851 - 4.47793i) q^{15} +(-0.222521 + 0.974928i) q^{16} +(0.710066 - 0.890394i) q^{17} -5.43198 q^{18} -0.898150 q^{19} +(2.21599 - 2.77877i) q^{20} +(4.42456 - 6.28070i) q^{21} +(2.21599 + 2.77877i) q^{22} +(1.90234 + 2.38546i) q^{23} +(-2.61622 + 1.25991i) q^{24} +(-6.87634 + 3.31147i) q^{25} +(-1.34509 - 1.68669i) q^{26} +(-4.40306 - 5.52127i) q^{27} +(0.434364 - 2.60985i) q^{28} +(-3.37795 + 4.23582i) q^{29} +10.3206 q^{30} -6.97425 q^{31} +(-0.623490 + 0.781831i) q^{32} +(-2.29654 + 10.0618i) q^{33} +(1.02607 - 0.494132i) q^{34} +(-5.41557 + 7.68744i) q^{35} +(-4.89405 - 2.35685i) q^{36} +(5.72402 - 7.17769i) q^{37} +(-0.809205 - 0.389693i) q^{38} +(1.39398 - 6.10744i) q^{39} +(3.20220 - 1.54210i) q^{40} +(0.336926 + 1.47617i) q^{41} +(6.71148 - 3.73897i) q^{42} +(1.58281 - 6.93476i) q^{43} +(0.790878 + 3.46506i) q^{44} +(12.0372 + 15.0942i) q^{45} +(0.678938 + 2.97462i) q^{46} +(3.92124 + 1.88837i) q^{47} -2.90379 q^{48} +(-0.736725 + 6.96112i) q^{49} -7.63216 q^{50} +(2.97950 + 1.43485i) q^{51} +(-0.480057 - 2.10327i) q^{52} +(-2.23275 - 2.79979i) q^{53} +(-1.57143 - 6.88491i) q^{54} +(2.81092 - 12.3154i) q^{55} +(1.52372 - 2.16293i) q^{56} +(-0.580343 - 2.54265i) q^{57} +(-4.88128 + 2.35070i) q^{58} +(-0.881392 + 3.86163i) q^{59} +(9.29851 + 4.47793i) q^{60} +(-6.17561 + 7.74397i) q^{61} +(-6.28358 - 3.02601i) q^{62} +(13.2962 + 5.45491i) q^{63} +(-0.900969 + 0.433884i) q^{64} +(-1.70621 + 7.47538i) q^{65} +(-6.43477 + 8.06895i) q^{66} -6.64593 q^{67} +1.13886 q^{68} +(-5.52399 + 6.92687i) q^{69} +(-8.21471 + 4.57642i) q^{70} +(8.69659 + 10.9052i) q^{71} +(-3.38679 - 4.24690i) q^{72} +(10.1903 - 4.90737i) q^{73} +(8.27144 - 3.98332i) q^{74} +(-13.8179 - 17.3271i) q^{75} +(-0.559987 - 0.702202i) q^{76} +(-2.63373 - 9.02710i) q^{77} +(3.90586 - 4.89779i) q^{78} -2.31107 q^{79} +3.55417 q^{80} +(2.62520 - 3.29190i) q^{81} +(-0.336926 + 1.47617i) q^{82} +(11.0508 - 5.32180i) q^{83} +(7.66911 - 0.456689i) q^{84} +(-3.64685 - 1.75623i) q^{85} +(4.43494 - 5.56124i) q^{86} +(-14.1742 - 6.82594i) q^{87} +(-0.790878 + 3.46506i) q^{88} +(8.86771 - 4.27047i) q^{89} +(4.29604 + 18.8222i) q^{90} +(1.59865 + 5.47938i) q^{91} +(-0.678938 + 2.97462i) q^{92} +(-4.50644 - 19.7440i) q^{93} +(2.71358 + 3.40273i) q^{94} +(0.710327 + 3.11215i) q^{95} +(-2.61622 - 1.25991i) q^{96} -2.24566 q^{97} +(-3.68408 + 5.95210i) q^{98} -19.3062 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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