LMFDB - Embedded newform 98.2.e.b.57.1

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			57.1
Root			$2.03053i$ of defining polynomial
Character	$\chi$	$=$	98.57
Dual form			98.2.e.b.43.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.623490 - 0.781831i) q^{2} +(-2.16271 + 1.04150i) q^{3} +(-0.222521 + 0.974928i) q^{4} +(3.56715 - 1.71785i) q^{5} +(2.16271 + 1.04150i) q^{6} +(1.88523 - 1.85632i) q^{7} +(0.900969 - 0.433884i) q^{8} +(1.72210 - 2.15944i) q^{9} +O(q^{10})$	\(q+(-0.623490 - 0.781831i) q^{2} +(-2.16271 + 1.04150i) q^{3} +(-0.222521 + 0.974928i) q^{4} +(3.56715 - 1.71785i) q^{5} +(2.16271 + 1.04150i) q^{6} +(1.88523 - 1.85632i) q^{7} +(0.900969 - 0.433884i) q^{8} +(1.72210 - 2.15944i) q^{9} +(-3.56715 - 1.71785i) q^{10} +(2.46855 + 3.09546i) q^{11} +(-0.534144 - 2.34024i) q^{12} +(-1.13330 - 1.42111i) q^{13} +(-2.62675 - 0.316534i) q^{14} +(-5.92555 + 7.43041i) q^{15} +(-0.900969 - 0.433884i) q^{16} +(-0.288858 - 1.26557i) q^{17} -2.76203 q^{18} -3.15344 q^{19} +(0.881014 + 3.85997i) q^{20} +(-2.14383 + 5.97814i) q^{21} +(0.881014 - 3.85997i) q^{22} +(-0.458174 + 2.00739i) q^{23} +(-1.49664 + 1.87673i) q^{24} +(6.65612 - 8.34651i) q^{25} +(-0.404469 + 1.77209i) q^{26} +(0.127111 - 0.556912i) q^{27} +(1.39027 + 2.25103i) q^{28} +(1.60806 + 7.04535i) q^{29} +9.50385 q^{30} -3.94637 q^{31} +(0.222521 + 0.974928i) q^{32} +(-8.56267 - 4.12357i) q^{33} +(-0.809362 + 1.01491i) q^{34} +(3.53601 - 9.86031i) q^{35} +(1.72210 + 2.15944i) q^{36} +(0.329078 + 1.44179i) q^{37} +(1.96614 + 2.46546i) q^{38} +(3.93108 + 1.89311i) q^{39} +(2.46855 - 3.09546i) q^{40} +(-8.00265 + 3.85387i) q^{41} +(6.01056 - 2.05120i) q^{42} +(-5.80102 - 2.79362i) q^{43} +(-3.56715 + 1.71785i) q^{44} +(2.43338 - 10.6614i) q^{45} +(1.85511 - 0.893372i) q^{46} +(-4.08748 - 5.12554i) q^{47} +2.40042 q^{48} +(0.108160 - 6.99916i) q^{49} -10.6756 q^{50} +(1.94281 + 2.43621i) q^{51} +(1.63766 - 0.788656i) q^{52} +(-2.27130 + 9.95124i) q^{53} +(-0.514664 + 0.247849i) q^{54} +(14.1232 + 6.80138i) q^{55} +(0.893104 - 2.49045i) q^{56} +(6.81997 - 3.28432i) q^{57} +(4.50567 - 5.64993i) q^{58} +(12.1710 + 5.86126i) q^{59} +(-5.92555 - 7.43041i) q^{60} +(1.26083 + 5.52407i) q^{61} +(2.46052 + 3.08539i) q^{62} +(-0.762068 - 7.26779i) q^{63} +(0.623490 - 0.781831i) q^{64} +(-6.48390 - 3.12248i) q^{65} +(2.11481 + 9.26557i) q^{66} -0.964618 q^{67} +1.29812 q^{68} +(-1.09981 - 4.81858i) q^{69} +(-9.91377 + 3.38324i) q^{70} +(1.18952 - 5.21164i) q^{71} +(0.614609 - 2.69278i) q^{72} +(-2.54877 + 3.19605i) q^{73} +(0.922057 - 1.15622i) q^{74} +(-5.70230 + 24.9834i) q^{75} +(0.701707 - 3.07438i) q^{76} +(10.3999 + 1.25323i) q^{77} +(-0.970897 - 4.25378i) q^{78} -12.0688 q^{79} -3.95924 q^{80} +(2.14895 + 9.41516i) q^{81} +(8.00265 + 3.85387i) q^{82} +(0.791263 - 0.992213i) q^{83} +(-5.35121 - 3.42034i) q^{84} +(-3.20446 - 4.01826i) q^{85} +(1.43273 + 6.27721i) q^{86} +(-10.8155 - 13.5622i) q^{87} +(3.56715 + 1.71785i) q^{88} +(8.05794 - 10.1043i) q^{89} +(-9.85257 + 4.74475i) q^{90} +(-4.77455 - 0.575353i) q^{91} +(-1.85511 - 0.893372i) q^{92} +(8.53483 - 4.11016i) q^{93} +(-1.45881 + 6.39145i) q^{94} +(-11.2488 + 5.41714i) q^{95} +(-1.49664 - 1.87673i) q^{96} -14.5264 q^{97} +(-5.53960 + 4.27934i) q^{98} +10.9355 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 $\left(\mathbb{Z}/98\mathbb{Z}\right)^\times$.

$n$	$3$
$\chi(n)$	$e\left(\frac{6}{7}\right)$

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 $

$2$	−0.623490	−	0.781831i	−0.440874	−	0.552838i
$2$	−0.623490	−	0.781831i	−0.440874	−	0.552838i
$3$	−2.16271	+	1.04150i	−1.24864	+	0.601313i	−0.937147	−	0.348936i	$-0.886543\pi$
$3$	−2.16271	+	1.04150i	−1.24864	+	0.601313i	−0.311492	+	0.950249i	$0.600829\pi$
$4$	−0.222521	+	0.974928i	−0.111260	+	0.487464i
$5$	3.56715	−	1.71785i	1.59528	−	0.768246i	0.595886	−	0.803069i	$-0.296801\pi$
$5$	3.56715	−	1.71785i	1.59528	−	0.768246i	0.999393	+	0.0348234i	$0.0110869\pi$
$6$	2.16271	+	1.04150i	0.882921	+	0.425192i
$7$	1.88523	−	1.85632i	0.712549	−	0.701623i
$7$	1.88523	−	1.85632i	0.712549	−	0.701623i
$8$	0.900969	−	0.433884i	0.318541	−	0.153401i
$9$	1.72210	−	2.15944i	0.574032	−	0.719813i
$10$	−3.56715	−	1.71785i	−1.12803	−	0.543232i
$11$	2.46855	+	3.09546i	0.744295	+	0.933316i	0.999436	−	0.0335879i	$-0.0106934\pi$
$11$	2.46855	+	3.09546i	0.744295	+	0.933316i	−0.255141	+	0.966904i	$0.582122\pi$
$12$	−0.534144	−	2.34024i	−0.154194	−	0.675569i
$13$	−1.13330	−	1.42111i	−0.314320	−	0.394145i	0.599426	−	0.800430i	$-0.295395\pi$
$13$	−1.13330	−	1.42111i	−0.314320	−	0.394145i	−0.913746	+	0.406285i	$0.866824\pi$
$14$	−2.62675	−	0.316534i	−0.702028	−	0.0845972i
$15$	−5.92555	+	7.43041i	−1.52997	+	1.91852i
$16$	−0.900969	−	0.433884i	−0.225242	−	0.108471i
$17$	−0.288858	−	1.26557i	−0.0700583	−	0.306946i	0.927743	−	0.373219i	$-0.121746\pi$
$17$	−0.288858	−	1.26557i	−0.0700583	−	0.306946i	−0.997801	+	0.0662737i	$0.978889\pi$
$18$	−2.76203			−0.651016
$19$	−3.15344			−0.723449			−0.361725	−	0.932285i	$-0.617812\pi$
$19$	−3.15344			−0.723449			−0.361725	+	0.932285i	$0.617812\pi$
$20$	0.881014	+	3.85997i	0.197001	+	0.863116i
$21$	−2.14383	+	5.97814i	−0.467821	+	1.30454i
$22$	0.881014	−	3.85997i	0.187833	−	0.822949i
$23$	−0.458174	+	2.00739i	−0.0955358	+	0.418570i	−0.999968	−	0.00804856i	$-0.997438\pi$
$23$	−0.458174	+	2.00739i	−0.0955358	+	0.418570i	0.904432	+	0.426618i	$0.140295\pi$
$24$	−1.49664	+	1.87673i	−0.305500	+	0.383085i
$25$	6.65612	−	8.34651i	1.33122	−	1.66930i
$26$	−0.404469	+	1.77209i	−0.0793229	+	0.347536i
$27$	0.127111	−	0.556912i	0.0244626	−	0.107178i
$28$	1.39027	+	2.25103i	0.262737	+	0.425405i
$29$	1.60806	+	7.04535i	0.298608	+	1.30829i	0.872201	+	0.489148i	$0.162692\pi$
$29$	1.60806	+	7.04535i	0.298608	+	1.30829i	−0.573592	+	0.819141i	$0.694451\pi$
$30$	9.50385			1.73516
$31$	−3.94637			−0.708789			−0.354394	−	0.935096i	$-0.615313\pi$
$31$	−3.94637			−0.708789			−0.354394	+	0.935096i	$0.615313\pi$
$32$	0.222521	+	0.974928i	0.0393365	+	0.172345i
$33$	−8.56267	−	4.12357i	−1.49057	−	0.717821i
$34$	−0.809362	+	1.01491i	−0.138804	+	0.174055i
$35$	3.53601	−	9.86031i	0.597695	−	1.66670i
$36$	1.72210	+	2.15944i	0.287016	+	0.359907i
$37$	0.329078	+	1.44179i	0.0541001	+	0.237028i	0.994748	−	0.102357i	$-0.0326383\pi$
$37$	0.329078	+	1.44179i	0.0541001	+	0.237028i	−0.940648	+	0.339385i	$0.889781\pi$
$38$	1.96614	+	2.46546i	0.318950	+	0.399951i
$39$	3.93108	+	1.89311i	0.629477	+	0.303140i
$40$	2.46855	−	3.09546i	0.390311	−	0.489435i
$41$	−8.00265	+	3.85387i	−1.24980	+	0.601874i	−0.937459	−	0.348095i	$-0.886829\pi$
$41$	−8.00265	+	3.85387i	−1.24980	+	0.601874i	−0.312344	+	0.949969i	$0.601114\pi$
$42$	6.01056	−	2.05120i	0.927449	−	0.316507i
$43$	−5.80102	−	2.79362i	−0.884647	−	0.426023i	−0.0643271	−	0.997929i	$-0.520490\pi$
$43$	−5.80102	−	2.79362i	−0.884647	−	0.426023i	−0.820320	+	0.571906i	$0.806204\pi$
$44$	−3.56715	+	1.71785i	−0.537768	+	0.258976i
$45$	2.43338	−	10.6614i	0.362748	−	1.58930i
$46$	1.85511	−	0.893372i	0.273521	−	0.131721i
$47$	−4.08748	−	5.12554i	−0.596221	−	0.747637i	0.388563	−	0.921422i	$-0.372972\pi$
$47$	−4.08748	−	5.12554i	−0.596221	−	0.747637i	−0.984784	+	0.173785i	$0.944400\pi$
$48$	2.40042			0.346471
$49$	0.108160	−	6.99916i	0.0154515	−	0.999881i
$50$	−10.6756			−1.50976
$51$	1.94281	+	2.43621i	0.272048	+	0.341137i
$52$	1.63766	−	0.788656i	0.227103	−	0.109367i
$53$	−2.27130	+	9.95124i	−0.311988	+	1.36691i	0.539258	+	0.842140i	$0.318705\pi$
$53$	−2.27130	+	9.95124i	−0.311988	+	1.36691i	−0.851246	+	0.524767i	$0.824152\pi$
$54$	−0.514664	+	0.247849i	−0.0700369	+	0.0337280i
$55$	14.1232	+	6.80138i	1.90437	+	0.917098i
$56$	0.893104	−	2.49045i	0.119346	−	0.332801i
$57$	6.81997	−	3.28432i	0.903327	−	0.435019i
$58$	4.50567	−	5.64993i	0.591624	−	0.741872i
$59$	12.1710	+	5.86126i	1.58453	+	0.763071i	0.998872	−	0.0474843i	$-0.0151204\pi$
$59$	12.1710	+	5.86126i	1.58453	+	0.763071i	0.585662	+	0.810556i	$0.300835\pi$
$60$	−5.92555	−	7.43041i	−0.764986	−	0.959262i
$61$	1.26083	+	5.52407i	0.161433	+	0.707284i	0.989244	+	0.146277i	$0.0467290\pi$
$61$	1.26083	+	5.52407i	0.161433	+	0.707284i	−0.827811	+	0.561008i	$0.810414\pi$
$62$	2.46052	+	3.08539i	0.312486	+	0.391845i
$63$	−0.762068	−	7.26779i	−0.0960115	−	0.915656i
$64$	0.623490	−	0.781831i	0.0779362	−	0.0977289i
$65$	−6.48390	−	3.12248i	−0.804228	−	0.387296i
$66$	2.11481	+	9.26557i	0.260315	+	1.14051i
$67$	−0.964618			−0.117847			−0.0589234	−	0.998263i	$-0.518767\pi$
$67$	−0.964618			−0.117847			−0.0589234	+	0.998263i	$0.518767\pi$
$68$	1.29812			0.157420
$69$	−1.09981	−	4.81858i	−0.132402	−	0.580089i
$70$	−9.91377	+	3.38324i	−1.18492	+	0.404374i
$71$	1.18952	−	5.21164i	0.141170	−	0.618507i	−0.853994	−	0.520283i	$-0.825827\pi$
$71$	1.18952	−	5.21164i	0.141170	−	0.618507i	0.995164	−	0.0982245i	$-0.0313163\pi$
$72$	0.614609	−	2.69278i	0.0724324	−	0.317347i
$73$	−2.54877	+	3.19605i	−0.298310	+	0.374070i	−0.908285	−	0.418351i	$-0.862608\pi$
$73$	−2.54877	+	3.19605i	−0.298310	+	0.374070i	0.609975	+	0.792421i	$0.291180\pi$
$74$	0.922057	−	1.15622i	0.107187	−	0.134408i
$75$	−5.70230	+	24.9834i	−0.658445	+	2.88484i
$76$	0.701707	−	3.07438i	0.0804913	−	0.352656i
$77$	10.3999	+	1.25323i	1.18518	+	0.142819i
$78$	−0.970897	−	4.25378i	−0.109932	−	0.481645i
$79$	−12.0688			−1.35785			−0.678924	−	0.734209i	$-0.737553\pi$
$79$	−12.0688			−1.35785			−0.678924	+	0.734209i	$0.737553\pi$
$80$	−3.95924			−0.442657
$81$	2.14895	+	9.41516i	0.238772	+	1.04613i
$82$	8.00265	+	3.85387i	0.883745	+	0.425589i
$83$	0.791263	−	0.992213i	0.0868524	−	0.108909i	−0.736507	−	0.676430i	$-0.763526\pi$
$83$	0.791263	−	0.992213i	0.0868524	−	0.108909i	0.823359	+	0.567521i	$0.192097\pi$
$84$	−5.35121	−	3.42034i	−0.583865	−	0.373190i
$85$	−3.20446	−	4.01826i	−0.347572	−	0.435842i
$86$	1.43273	+	6.27721i	0.154496	+	0.676889i
$87$	−10.8155	−	13.5622i	−1.15954	−	1.45402i
$88$	3.56715	+	1.71785i	0.380260	+	0.183123i
$89$	8.05794	−	10.1043i	0.854140	−	1.07106i	−0.142552	−	0.989787i	$-0.545531\pi$
$89$	8.05794	−	10.1043i	0.854140	−	1.07106i	0.996692	−	0.0812700i	$-0.0258976\pi$
$90$	−9.85257	+	4.74475i	−1.03855	+	0.500141i
$91$	−4.77455	−	0.575353i	−0.500509	−	0.0603134i
$92$	−1.85511	−	0.893372i	−0.193408	−	0.0931405i
$93$	8.53483	−	4.11016i	0.885021	−	0.426204i
$94$	−1.45881	+	6.39145i	−0.150464	+	0.659228i
$95$	−11.2488	+	5.41714i	−1.15410	+	0.555787i
$96$	−1.49664	−	1.87673i	−0.152750	−	0.191543i
$97$	−14.5264			−1.47494			−0.737468	−	0.675382i	$-0.763979\pi$
$97$	−14.5264			−1.47494			−0.737468	+	0.675382i	$0.763979\pi$
$98$	−5.53960	+	4.27934i	−0.559584	+	0.432279i
$99$	10.9355			1.09906
$100$	6.65612	+	8.34651i	0.665612	+	0.834651i
$101$	−4.93063	+	2.37447i	−0.490616	+	0.236268i	−0.662800	−	0.748797i	$-0.730632\pi$
$101$	−4.93063	+	2.37447i	−0.490616	+	0.236268i	0.172184	+	0.985065i	$0.444918\pi$
$102$	0.693381	−	3.03790i	0.0686550	−	0.300797i
$103$	2.21203	−	1.06526i	0.217958	−	0.104963i	−0.321719	−	0.946835i	$-0.604261\pi$
$103$	2.21203	−	1.06526i	0.217958	−	0.104963i	0.539677	+	0.841872i	$0.318546\pi$
$104$	−1.63766	−	0.788656i	−0.160586	−	0.0773341i
$105$	2.62220	+	25.0077i	0.255900	+	2.44050i
$106$	9.19633	−	4.42872i	0.893226	−	0.430155i
$107$	4.61210	−	5.78339i	0.445869	−	0.559102i	−0.507211	−	0.861822i	$-0.669323\pi$
$107$	4.61210	−	5.78339i	0.445869	−	0.559102i	0.953079	+	0.302720i	$0.0978948\pi$
$108$	0.514664	+	0.247849i	0.0495236	+	0.0238493i
$109$	−0.110181	−	0.138163i	−0.0105535	−	0.0132336i	0.776527	−	0.630084i	$-0.216980\pi$
$109$	−0.110181	−	0.138163i	−0.0105535	−	0.0132336i	−0.787080	+	0.616851i	$0.788408\pi$
$110$	−3.48815	−	15.2826i	−0.332582	−	1.45714i
$111$	−2.21333	−	2.77542i	−0.210080	−	0.263432i
$112$	−2.50396	+	0.854516i	−0.236602	+	0.0807442i
$113$	4.42726	−	5.55160i	0.416481	−	0.522251i	−0.528695	−	0.848812i	$-0.677318\pi$
$113$	4.42726	−	5.55160i	0.416481	−	0.522251i	0.945176	+	0.326561i	$0.105890\pi$
$114$	−6.81997	−	3.28432i	−0.638749	−	0.307605i
$115$	1.81402	+	7.94774i	0.169158	+	0.741130i
$116$	−7.22653			−0.670967
$117$	−5.02045			−0.464141
$118$	−3.00600	−	13.1701i	−0.276724	−	1.21241i
$119$	−2.89386	−	1.84967i	−0.265280	−	0.169559i
$120$	−2.11481	+	9.26557i	−0.193054	+	0.845827i
$121$	−1.04042	+	4.55836i	−0.0945832	+	0.414396i
$122$	3.53277	−	4.42996i	0.319842	−	0.401070i
$123$	13.2935	−	16.6696i	1.19864	−	1.50305i
$124$	0.878149	−	3.84742i	0.0788601	−	0.345509i
$125$	5.00027	−	21.9076i	0.447238	−	1.95948i
$126$	−5.20705	+	5.12720i	−0.463881	+	0.456768i
$127$	2.40757	+	10.5482i	0.213637	+	0.936005i	0.962072	+	0.272796i	$0.0879485\pi$
$127$	2.40757	+	10.5482i	0.213637	+	0.936005i	−0.748435	+	0.663208i	$0.769194\pi$
$128$	−1.00000			−0.0883883
$129$	15.4555			1.36078
$130$	1.60139	+	7.01615i	0.140451	+	0.615357i
$131$	11.5007	+	5.53844i	1.00482	+	0.483896i	0.862572	−	0.505935i	$-0.168852\pi$
$131$	11.5007	+	5.53844i	1.00482	+	0.483896i	0.142249	+	0.989831i	$0.454567\pi$
$132$	5.92555	−	7.43041i	0.515753	−	0.646734i
$133$	−5.94495	+	5.85380i	−0.515493	+	0.507588i
$134$	0.601430	+	0.754169i	0.0519556	+	0.0651503i
$135$	−0.503265	−	2.20495i	−0.0433141	−	0.189772i
$136$	−0.809362	−	1.01491i	−0.0694022	−	0.0870276i
$137$	−6.65160	−	3.20324i	−0.568285	−	0.273671i	0.127599	−	0.991826i	$-0.459273\pi$
$137$	−6.65160	−	3.20324i	−0.568285	−	0.273671i	−0.695884	+	0.718154i	$0.744987\pi$
$138$	−3.08160	+	3.86420i	−0.262323	+	0.328943i
$139$	−4.91360	+	2.36626i	−0.416766	+	0.200704i	−0.630502	−	0.776188i	$-0.717151\pi$
$139$	−4.91360	+	2.36626i	−0.416766	+	0.200704i	0.213736	+	0.976891i	$0.431437\pi$
$140$	8.82625	+	5.64148i	0.745955	+	0.476792i
$141$	14.1783	+	6.82791i	1.19403	+	0.575014i
$142$	−4.81628	+	2.31940i	−0.404173	+	0.194639i
$143$	1.60139	−	7.01615i	0.133915	−	0.586720i
$144$	−2.48850	+	1.19840i	−0.207375	+	0.0998666i
$145$	17.8390	+	22.3694i	1.48145	+	1.85768i
$146$	4.08790			0.338317
$147$	7.05574	+	15.2498i	0.581948	+	1.25778i
$148$	−1.47886			−0.121562
$149$	−5.02863	−	6.30570i	−0.411961	−	0.516583i	0.531953	−	0.846774i	$-0.321458\pi$
$149$	−5.02863	−	6.30570i	−0.411961	−	0.516583i	−0.943914	+	0.330191i	$0.892887\pi$
$150$	23.0882	−	11.1187i	1.88514	−	0.907835i
$151$	3.66437	−	16.0547i	0.298203	−	1.30651i	−0.574599	−	0.818435i	$-0.694842\pi$
$151$	3.66437	−	16.0547i	0.298203	−	1.30651i	0.872801	−	0.488076i	$-0.162301\pi$
$152$	−2.84115	+	1.36823i	−0.230448	+	0.110978i
$153$	−3.23036	−	1.55566i	−0.261159	−	0.125768i
$154$	−5.50443	−	8.91237i	−0.443560	−	0.718179i
$155$	−14.0773	+	6.77927i	−1.13072	+	0.544524i
$156$	−2.72039	+	3.41126i	−0.217806	+	0.273120i
$157$	−1.33319	−	0.642029i	−0.106400	−	0.0512395i	0.379927	−	0.925017i	$-0.375949\pi$
$157$	−1.33319	−	0.642029i	−0.106400	−	0.0512395i	−0.486327	+	0.873777i	$0.661663\pi$
$158$	7.52478	+	9.43578i	0.598639	+	0.750670i
$159$	−5.45209	−	23.8872i	−0.432379	−	1.89438i
$160$	2.46855	+	3.09546i	0.195156	+	0.244718i
$161$	2.86259	+	4.63490i	0.225604	+	0.365281i
$162$	6.02122	−	7.55037i	0.473072	−	0.593213i
$163$	8.76759	+	4.22225i	0.686730	+	0.330712i	0.744504	−	0.667618i	$-0.232686\pi$
$163$	8.76759	+	4.22225i	0.686730	+	0.330712i	−0.0577738	+	0.998330i	$0.518400\pi$
$164$	−1.97649	−	8.65957i	−0.154338	−	0.676199i
$165$	−37.6280			−2.92934
$166$	−1.26909			−0.0985003
$167$	0.647824	+	2.83830i	0.0501302	+	0.219635i	0.993788	−	0.111287i	$-0.0354974\pi$
$167$	0.647824	+	2.83830i	0.0501302	+	0.219635i	−0.943658	+	0.330922i	$0.892640\pi$
$168$	0.662298	+	6.31629i	0.0510974	+	0.487313i
$169$	2.15758	−	9.45298i	0.165968	−	0.727153i
$170$	−1.14366	+	5.01069i	−0.0877146	+	0.384303i
$171$	−5.43053	+	6.80967i	−0.415283	+	0.520749i
$172$	4.01443	−	5.03393i	0.306097	−	0.383834i
$173$	−1.29682	+	5.68173i	−0.0985953	+	0.431974i	−0.999999	−	0.00100444i	$-0.999680\pi$
$173$	−1.29682	+	5.68173i	−0.0985953	+	0.431974i	0.901404	+	0.432979i	$0.142537\pi$
$174$	−3.86001	+	16.9118i	−0.292627	+	1.28208i
$175$	−2.94549	−	28.0909i	−0.222658	−	2.12348i
$176$	−0.881014	−	3.85997i	−0.0664089	−	0.290956i
$177$	−32.4269			−2.43735
$178$	−12.9239			−0.968689
$179$	1.74643	+	7.65161i	0.130534	+	0.571908i	0.997316	+	0.0732199i	$0.0233275\pi$
$179$	1.74643	+	7.65161i	0.130534	+	0.571908i	−0.866782	+	0.498688i	$0.833815\pi$
$180$	9.85257	+	4.74475i	0.734368	+	0.353653i
$181$	1.59756	−	2.00328i	0.118746	−	0.148902i	−0.718906	−	0.695108i	$-0.755357\pi$
$181$	1.59756	−	2.00328i	0.118746	−	0.148902i	0.837651	+	0.546205i	$0.183928\pi$
$182$	2.52706	+	4.09162i	0.187318	+	0.303291i
$183$	−8.48015	−	10.6338i	−0.626871	−	0.786071i
$184$	0.458174	+	2.00739i	0.0337770	+	0.147987i
$185$	3.65065	+	4.57776i	0.268401	+	0.336564i
$186$	−8.53483	−	4.11016i	−0.625804	−	0.301371i
$187$	3.20446	−	4.01826i	0.234333	−	0.293845i
$188$	5.90659	−	2.84446i	0.430782	−	0.207454i
$189$	−0.794172	−	1.28586i	−0.0577675	−	0.0935329i
$190$	11.2488	+	5.41714i	0.816075	+	0.393001i
$191$	6.78167	−	3.26588i	0.490704	−	0.236311i	−0.172134	−	0.985074i	$-0.555066\pi$
$191$	6.78167	−	3.26588i	0.490704	−	0.236311i	0.662838	+	0.748763i	$0.269352\pi$
$192$	−0.534144	+	2.34024i	−0.0385485	+	0.168892i
$193$	11.4305	−	5.50463i	0.822784	−	0.396232i	0.0253804	−	0.999678i	$-0.491920\pi$
$193$	11.4305	−	5.50463i	0.822784	−	0.396232i	0.797404	+	0.603446i	$0.206206\pi$
$194$	9.05708	+	11.3572i	0.650261	+	0.815401i
$195$	17.2748			1.23708
$196$	6.79961	+	1.66291i	0.485687	+	0.118779i
$197$	−5.94386			−0.423483			−0.211741	−	0.977326i	$-0.567913\pi$
$197$	−5.94386			−0.423483			−0.211741	+	0.977326i	$0.567913\pi$
$198$	−6.81819	−	8.54974i	−0.484548	−	0.607604i
$199$	15.1267	−	7.28462i	1.07230	−	0.516393i	0.187453	−	0.982273i	$-0.439977\pi$
$199$	15.1267	−	7.28462i	1.07230	−	0.516393i	0.884848	+	0.465880i	$0.154262\pi$
$200$	2.37554	−	10.4079i	0.167976	−	0.735952i
$201$	2.08619	−	1.00465i	0.147148	−	0.0708628i
$202$	4.93063	+	2.37447i	0.346918	+	0.167067i
$203$	16.1100	+	10.2970i	1.13070	+	0.722709i
$204$	−2.80744	+	1.35199i	−0.196560	+	0.0946585i
$205$	−21.9263	+	27.4947i	−1.53140	+	1.92031i
$206$	−2.21203	−	1.06526i	−0.154119	−	0.0742200i
$207$	3.54582	+	4.44632i	0.246451	+	0.309040i
$208$	0.404469	+	1.77209i	0.0280449	+	0.122873i
$209$	−7.78442	−	9.76135i	−0.538460	−	0.675207i
$210$	17.9169	−	17.6422i	1.23638	−	1.21743i
$211$	−1.84557	+	2.31427i	−0.127054	+	0.159321i	−0.841290	−	0.540584i	$-0.818203\pi$
$211$	−1.84557	+	2.31427i	−0.127054	+	0.159321i	0.714235	+	0.699906i	$0.246775\pi$
$212$	−9.19633	−	4.42872i	−0.631606	−	0.304166i
$213$	2.85535	+	12.5101i	0.195646	+	0.857180i
$214$	−7.39724			−0.505665
$215$	−25.4921			−1.73855
$216$	−0.127111	−	0.556912i	−0.00864884	−	0.0378930i
$217$	−7.43980	+	7.32572i	−0.505046	+	0.497302i
$218$	−0.0393233	+	0.172287i	−0.00266331	+	0.0116687i
$219$	2.18353	−	9.56667i	0.147549	−	0.646456i
$220$	−9.77357	+	12.2557i	−0.658934	+	0.826277i
$221$	−1.47115	+	1.84476i	−0.0989603	+	0.124092i
$222$	−0.789927	+	3.46090i	−0.0530164	+	0.232280i
$223$	−4.12044	+	18.0528i	−0.275925	+	1.20891i	0.626970	+	0.779044i	$0.284295\pi$
$223$	−4.12044	+	18.0528i	−0.275925	+	1.20891i	−0.902895	+	0.429862i	$0.858562\pi$
$224$	2.22928	+	1.42489i	0.148950	+	0.0952045i
$225$	−6.56131	−	28.7470i	−0.437421	−	1.91647i
$226$	−7.10077			−0.472336
$227$	−15.6474			−1.03855			−0.519277	−	0.854606i	$-0.673799\pi$
$227$	−15.6474			−1.03855			−0.519277	+	0.854606i	$0.673799\pi$
$228$	1.68439	+	7.37981i	0.111552	+	0.488740i
$229$	20.1232	+	9.69084i	1.32978	+	0.640389i	0.957688	−	0.287807i	$-0.0929263\pi$
$229$	20.1232	+	9.69084i	1.32978	+	0.640389i	0.372092	+	0.928196i	$0.378641\pi$
$230$	5.08277	−	6.37359i	0.335148	−	0.420262i
$231$	−23.7972	+	8.12119i	−1.56574	+	0.534335i
$232$	4.50567	+	5.64993i	0.295812	+	0.370936i
$233$	6.03730	+	26.4511i	0.395516	+	1.73287i	0.644719	+	0.764420i	$0.276974\pi$
$233$	6.03730	+	26.4511i	0.395516	+	1.73287i	−0.249203	+	0.968451i	$0.580169\pi$
$234$	3.13020	+	3.92514i	0.204627	+	0.256595i
$235$	−23.3856	−	11.2619i	−1.52551	−	0.734646i
$236$	−8.42262	+	10.5616i	−0.548266	+	0.687503i
$237$	26.1013	−	12.5697i	1.69546	−	0.816491i
$238$	0.358162	+	3.41577i	0.0232162	+	0.221411i
$239$	0.849723	+	0.409205i	0.0549640	+	0.0264693i	0.461164	−	0.887315i	$-0.347432\pi$
$239$	0.849723	+	0.409205i	0.0549640	+	0.0264693i	−0.406200	+	0.913784i	$0.633146\pi$
$240$	8.56267	−	4.12357i	0.552718	−	0.266175i
$241$	−2.19328	+	9.60937i	−0.141281	+	0.618994i	0.853857	+	0.520508i	$0.174257\pi$
$241$	−2.19328	+	9.60937i	−0.141281	+	0.618994i	−0.995138	+	0.0984864i	$0.968600\pi$
$242$	4.21256	−	2.02866i	0.270793	−	0.130407i
$243$	−13.3850	−	16.7843i	−0.858648	−	1.07671i
$244$	−5.66613			−0.362737
$245$	−11.6377	−	25.1529i	−0.743505	−	1.60696i
$246$	−21.3212			−1.35939
$247$	3.57379	+	4.48139i	0.227395	+	0.285144i
$248$	−3.55555	+	1.71226i	−0.225778	+	0.108729i
$249$	−0.677876	+	2.96997i	−0.0429586	+	0.188214i
$250$	−20.2457	+	9.74980i	−1.28045	+	0.616632i
$251$	−1.93857	−	0.933566i	−0.122361	−	0.0589262i	0.371702	−	0.928352i	$-0.378774\pi$
$251$	−1.93857	−	0.933566i	−0.122361	−	0.0589262i	−0.494063	+	0.869426i	$0.664489\pi$
$252$	7.25515	+	0.874275i	0.457032	+	0.0550742i
$253$	−7.34481	+	3.53708i	−0.461764	+	0.222374i
$254$	6.74585	−	8.45903i	0.423272	−	0.530767i
$255$	11.1153	+	5.35287i	0.696070	+	0.335210i
$256$	0.623490	+	0.781831i	0.0389681	+	0.0488645i
$257$	−0.565019	−	2.47551i	−0.0352449	−	0.154418i	0.954243	−	0.299031i	$-0.0966634\pi$
$257$	−0.565019	−	2.47551i	−0.0352449	−	0.154418i	−0.989488	+	0.144613i	$0.953806\pi$
$258$	−9.63632	−	12.0836i	−0.599931	−	0.752290i
$259$	3.29680	+	2.10722i	0.204853	+	0.130936i
$260$	4.48700	−	5.62651i	0.278272	−	0.348942i
$261$	17.9832	+	8.66027i	1.11313	+	0.536057i
$262$	−2.84044	−	12.4448i	−0.175483	−	0.768840i
$263$	22.9857			1.41736			0.708680	−	0.705530i	$-0.249291\pi$
$263$	22.9857			1.41736			0.708680	+	0.705530i	$0.249291\pi$
$264$	−9.50385			−0.584922
$265$	8.99264	+	39.3993i	0.552414	+	2.42028i
$266$	8.28330	+	0.998171i	0.507882	+	0.0612018i
$267$	−6.90324	+	30.2451i	−0.422472	+	1.85097i
$268$	0.214648	−	0.940433i	0.0131117	−	0.0574461i
$269$	11.6802	−	14.6466i	0.712157	−	0.893017i	−0.285709	−	0.958317i	$-0.592229\pi$
$269$	11.6802	−	14.6466i	0.712157	−	0.893017i	0.997866	+	0.0652999i	$0.0208004\pi$
$270$	−1.41012	+	1.76823i	−0.0858170	+	0.107611i
$271$	2.81885	−	12.3502i	0.171233	−	0.750220i	−0.814260	−	0.580501i	$-0.802857\pi$
$271$	2.81885	−	12.3502i	0.171233	−	0.750220i	0.985492	−	0.169719i	$-0.0542861\pi$
$272$	−0.288858	+	1.26557i	−0.0175146	+	0.0767364i
$273$	10.9252	−	3.72840i	0.661223	−	0.225653i
$274$	1.64281	+	7.19762i	0.0992457	+	0.434824i
$275$	42.2672			2.54881
$276$	4.94250			0.297504
$277$	−2.33635	−	10.2362i	−0.140378	−	0.615035i	−0.995347	−	0.0963564i	$-0.969281\pi$
$277$	−2.33635	−	10.2362i	−0.140378	−	0.615035i	0.854969	−	0.518679i	$-0.173576\pi$
$278$	4.91360	+	2.36626i	0.294698	+	0.141919i
$279$	−6.79602	+	8.52195i	−0.406867	+	0.510196i
$280$	−1.09239	−	10.4181i	−0.0652828	−	0.622598i
$281$	−18.1795	−	22.7963i	−1.08450	−	1.35991i	−0.928148	−	0.372212i	$-0.878600\pi$
$281$	−18.1795	−	22.7963i	−1.08450	−	1.35991i	−0.156347	−	0.987702i	$-0.549972\pi$
$282$	−3.50175	−	15.3422i	−0.208526	−	0.913613i
$283$	−12.3421	−	15.4765i	−0.733663	−	0.919984i	0.265361	−	0.964149i	$-0.414509\pi$
$283$	−12.3421	−	15.4765i	−0.733663	−	0.919984i	−0.999024	+	0.0441647i	$0.985937\pi$
$284$	4.81628	+	2.31940i	0.285793	+	0.137631i
$285$	18.6859	−	23.4314i	1.10686	−	1.38795i
$286$	−6.48390	+	3.12248i	−0.383401	+	0.184636i
$287$	−7.93279	+	22.1209i	−0.468258	+	1.30575i
$288$	2.48850	+	1.19840i	0.146636	+	0.0706163i
$289$	13.7982	−	6.64488i	0.811661	−	0.390876i
$290$	6.36668	−	27.8942i	0.373864	−	1.63801i
$291$	31.4164	−	15.1293i	1.84166	−	0.886898i
$292$	−2.54877	−	3.19605i	−0.149155	−	0.187035i
$293$	−2.96960			−0.173486			−0.0867430	−	0.996231i	$-0.527646\pi$
$293$	−2.96960			−0.173486			−0.0867430	+	0.996231i	$0.527646\pi$
$294$	7.52358	−	15.0245i	0.438784	−	0.876246i
$295$	53.4847			3.11400
$296$	0.922057	+	1.15622i	0.0535935	+	0.0672041i
$297$	2.03768	−	0.981294i	0.118238	−	0.0569405i
$298$	−1.79470	+	7.86308i	−0.103964	+	0.455496i
$299$	3.37197	−	1.62385i	0.195006	−	0.0939099i
$300$	−23.0882	−	11.1187i	−1.33300	−	0.641937i
$301$	−16.1221	+	5.50192i	−0.929261	+	0.317126i
$302$	−14.8368	+	7.14500i	−0.853759	+	0.411149i
$303$	8.19048	−	10.2705i	0.470531	−	0.590027i
$304$	2.84115	+	1.36823i	0.162951	+	0.0784732i
$305$	13.9871	+	17.5393i	0.800899	+	1.00430i
$306$	0.797834	+	3.49554i	0.0456091	+	0.199827i
$307$	−9.14537	−	11.4679i	−0.521954	−	0.654510i	0.449069	−	0.893497i	$-0.351756\pi$
$307$	−9.14537	−	11.4679i	−0.521954	−	0.654510i	−0.971023	+	0.238988i	$0.923184\pi$
$308$	−3.53601	+	9.86031i	−0.201483	+	0.561843i
$309$	−3.67450	+	4.60767i	−0.209035	+	0.262121i
$310$	14.0773	+	6.77927i	0.799537	+	0.385037i
$311$	4.33929	+	19.0117i	0.246059	+	1.07805i	0.935393	+	0.353610i	$0.115046\pi$
$311$	4.33929	+	19.0117i	0.246059	+	1.07805i	−0.689334	+	0.724443i	$0.742097\pi$
$312$	4.36317			0.247016
$313$	−6.05036			−0.341987			−0.170993	−	0.985272i	$-0.554698\pi$
$313$	−6.05036			−0.341987			−0.170993	+	0.985272i	$0.554698\pi$
$314$	0.329270	+	1.44263i	0.0185818	+	0.0814121i
$315$	−15.2034	−	24.6162i	−0.856614	−	1.38697i
$316$	2.68556	−	11.7662i	0.151075	−	0.661902i
$317$	2.97946	−	13.0539i	0.167343	−	0.733178i	−0.819709	−	0.572780i	$-0.805865\pi$
$317$	2.97946	−	13.0539i	0.167343	−	0.733178i	0.987052	−	0.160398i	$-0.0512778\pi$
$318$	−15.2764	+	19.1560i	−0.856659	+	1.07422i
$319$	−17.8390	+	22.3694i	−0.998794	+	1.25245i
$320$	0.881014	−	3.85997i	0.0492502	−	0.215779i
$321$	−3.95119	+	17.3113i	−0.220534	+	0.966223i
$322$	1.83891	−	5.12788i	0.102479	−	0.285766i
$323$	0.910897	+	3.99090i	0.0506837	+	0.222060i
$324$	−9.65729			−0.536516
$325$	−19.4047			−1.07638
$326$	−2.16542	−	9.48730i	−0.119931	−	0.525453i
$327$	0.382187	+	0.184052i	0.0211350	+	0.0101781i
$328$	−5.53800	+	6.94444i	−0.305785	+	0.383442i
$329$	−17.2205	−	2.07514i	−0.949396	−	0.114406i
$330$	23.4607	+	29.4188i	1.29147	+	1.61945i
$331$	−5.92141	−	25.9434i	−0.325470	−	1.42598i	−0.827665	−	0.561223i	$-0.810331\pi$
$331$	−5.92141	−	25.9434i	−0.325470	−	1.42598i	0.502195	−	0.864754i	$-0.332526\pi$
$332$	0.791263	+	0.992213i	0.0434262	+	0.0544547i
$333$	3.68016	+	1.77227i	0.201671	+	0.0971198i
$334$	1.81516	−	2.27614i	0.0993213	−	0.124545i
$335$	−3.44094	+	1.65707i	−0.187999	+	0.0905354i
$336$	4.52534	−	4.45595i	0.246878	−	0.243092i
$337$	4.70091	+	2.26384i	0.256075	+	0.123319i	0.557518	−	0.830165i	$-0.311754\pi$
$337$	4.70091	+	2.26384i	0.256075	+	0.123319i	−0.301443	+	0.953484i	$0.597468\pi$
$338$	−8.73587	+	4.20697i	−0.475169	+	0.228829i
$339$	−3.79283	+	16.6175i	−0.205999	+	0.902538i
$340$	4.63058	−	2.22997i	0.251128	−	0.120937i
$341$	−9.74179	−	12.2158i	−0.527548	−	0.661524i
$342$	8.70990			0.470977
$343$	−12.7888	−	13.3958i	−0.690529	−	0.723305i
$344$	−6.43864			−0.347148
$345$	−12.2008	−	15.2993i	−0.656869	−	0.823687i
$346$	5.25071	−	2.52861i	0.282280	−	0.135939i
$347$	0.875172	−	3.83438i	0.0469817	−	0.205840i	−0.945989	−	0.324198i	$-0.894906\pi$
$347$	0.875172	−	3.83438i	0.0469817	−	0.205840i	0.992971	+	0.118357i	$0.0377629\pi$
$348$	15.6289	−	7.52647i	0.837795	−	0.403461i
$349$	−18.6208	−	8.96732i	−0.996750	−	0.480010i	−0.136916	−	0.990583i	$-0.543719\pi$
$349$	−18.6208	−	8.96732i	−0.996750	−	0.480010i	−0.859834	+	0.510573i	$0.829433\pi$
$350$	−20.1259	+	19.8173i	−1.07577	+	1.05928i
$351$	−0.935488	+	0.450507i	−0.0499326	+	0.0240463i
$352$	−2.46855	+	3.09546i	−0.131574	+	0.164989i
$353$	15.5633	+	7.49489i	0.828351	+	0.398913i	0.799496	−	0.600671i	$-0.205100\pi$
$353$	15.5633	+	7.49489i	0.828351	+	0.398913i	0.0288543	+	0.999584i	$0.490814\pi$
$354$	20.2178	+	25.3524i	1.07457	+	1.34746i
$355$	−4.70960	−	20.6341i	−0.249960	−	1.09515i
$356$	8.05794	+	10.1043i	0.427070	+	0.535529i
$357$	8.18502	+	0.986328i	0.433197	+	0.0522020i
$358$	4.89339	−	6.13611i	0.258623	−	0.324304i
$359$	−14.8035	−	7.12898i	−0.781298	−	0.376253i	0.000328712	−	1.00000i	$-0.499895\pi$
$359$	−14.8035	−	7.12898i	−0.781298	−	0.376253i	−0.781626	+	0.623747i	$0.785610\pi$
$360$	−2.43338	−	10.6614i	−0.128251	−	0.561903i
$361$	−9.05580			−0.476621
$362$	−2.56229			−0.134671
$363$	−2.49744	−	10.9420i	−0.131081	−	0.574305i
$364$	1.62337	−	4.52682i	0.0850875	−	0.237270i
$365$	−3.60150	+	15.7792i	−0.188511	+	0.825921i
$366$	−3.02653	+	13.2601i	−0.158199	+	0.693116i
$367$	−9.60636	+	12.0460i	−0.501448	+	0.628796i	−0.966555	−	0.256458i	$-0.917444\pi$
$367$	−9.60636	+	12.0460i	−0.501448	+	0.628796i	0.465107	+	0.885254i	$0.346016\pi$
$368$	1.28377	−	1.60980i	0.0669213	−	0.0839167i
$369$	−5.45912	+	23.9180i	−0.284191	+	1.24512i
$370$	1.30290	−	5.70838i	0.0677346	−	0.296765i
$371$	14.1907	+	22.9766i	0.736747	+	1.19289i
$372$	2.10793	+	9.23544i	0.109291	+	0.478835i
$373$	37.5333			1.94340			0.971700	−	0.236217i	$-0.0759077\pi$
$373$	37.5333			1.94340			0.971700	+	0.236217i	$0.0759077\pi$
$374$	−5.13955			−0.265760
$375$	12.0028	+	52.5875i	0.619820	+	2.71561i
$376$	−5.90659	−	2.84446i	−0.304609	−	0.146692i
$377$	8.18981	−	10.2697i	0.421797	−	0.528916i
$378$	−0.510171	+	1.42263i	−0.0262404	+	0.0731723i
$379$	9.88415	+	12.3943i	0.507714	+	0.636654i	0.967950	−	0.251143i	$-0.0808065\pi$
$379$	9.88415	+	12.3943i	0.507714	+	0.636654i	−0.460236	+	0.887797i	$0.652235\pi$
$380$	−2.77823	−	12.1722i	−0.142520	−	0.624421i
$381$	−16.1929	−	20.3052i	−0.829587	−	1.04027i
$382$	−6.78167	−	3.26588i	−0.346980	−	0.167097i
$383$	−20.3253	+	25.4871i	−1.03858	+	1.30233i	−0.0865717	+	0.996246i	$0.527591\pi$
$383$	−20.3253	+	25.4871i	−1.03858	+	1.30233i	−0.952004	+	0.306087i	$0.900980\pi$
$384$	2.16271	−	1.04150i	0.110365	−	0.0531490i
$385$	39.2510	−	13.3950i	2.00042	−	0.682675i
$386$	−11.4305	−	5.50463i	−0.581796	−	0.280178i
$387$	−16.0226	+	7.71606i	−0.814473	+	0.392229i
$388$	3.23244	−	14.1622i	0.164102	−	0.718978i
$389$	−31.0927	+	14.9734i	−1.57646	+	0.759184i	−0.998386	−	0.0567989i	$-0.981911\pi$
$389$	−31.0927	+	14.9734i	−1.57646	+	0.759184i	−0.578076	+	0.815983i	$0.696196\pi$
$390$	−10.7707	−	13.5060i	−0.545395	−	0.683903i
$391$	2.67284			0.135171
$392$	−2.93937	−	6.35296i	−0.148461	−	0.320873i
$393$	−30.6409			−1.54563
$394$	3.70594	+	4.64710i	0.186702	+	0.234117i
$395$	−43.0513	+	20.7324i	−2.16615	+	1.04316i
$396$	−2.43338	+	10.6614i	−0.122282	+	0.535753i
$397$	9.53425	−	4.59145i	0.478510	−	0.230438i	−0.179051	−	0.983840i	$-0.557303\pi$
$397$	9.53425	−	4.59145i	0.478510	−	0.230438i	0.657561	+	0.753402i	$0.271588\pi$
$398$	−15.1267	−	7.28462i	−0.758231	−	0.365145i
$399$	6.76044	−	18.8517i	0.338445	−	0.943767i
$400$	−9.61837	+	4.63196i	−0.480919	+	0.231598i
$401$	19.5937	−	24.5697i	0.978462	−	1.22695i	0.00455877	−	0.999990i	$-0.498549\pi$
$401$	19.5937	−	24.5697i	0.978462	−	1.22695i	0.973903	−	0.226963i	$-0.0728797\pi$
$402$	−2.08619	−	1.00465i	−0.104049	−	0.0501076i
$403$	4.47241	+	5.60822i	0.222786	+	0.279365i
$404$	−1.21776	−	5.33538i	−0.0605861	−	0.265445i
$405$	23.8395	+	29.8937i	1.18459	+	1.48543i
$406$	−1.99387	−	19.0154i	−0.0989539	−	0.943717i
$407$	−3.65065	+	4.57776i	−0.180956	+	0.226911i
$408$	2.80744	+	1.35199i	0.138989	+	0.0669336i
$409$	0.798408	+	3.49805i	0.0394787	+	0.172968i	0.990824	−	0.135160i	$-0.0431548\pi$
$409$	0.798408	+	3.49805i	0.0394787	+	0.172968i	−0.951345	+	0.308127i	$0.900298\pi$
$410$	35.1670			1.73678
$411$	17.7216			0.874144
$412$	0.546326	+	2.39361i	0.0269156	+	0.117925i
$413$	33.8255	−	11.5435i	1.66445	−	0.568019i
$414$	1.26549	−	5.54447i	0.0621953	−	0.272496i
$415$	1.11808	−	4.89865i	0.0548846	−	0.240465i
$416$	1.13330	−	1.42111i	0.0555645	−	0.0696756i
$417$	8.16219	−	10.2351i	0.399704	−	0.501213i
$418$	−2.77823	+	12.1722i	−0.135888	+	0.595362i
$419$	−5.56978	+	24.4028i	−0.272102	+	1.19216i	0.635425	+	0.772162i	$0.280825\pi$
$419$	−5.56978	+	24.4028i	−0.272102	+	1.19216i	−0.907527	+	0.419993i	$0.862032\pi$
$420$	−24.9642	−	3.00829i	−1.21813	−	0.146789i
$421$	−6.61457	−	28.9803i	−0.322374	−	1.41241i	−0.833315	−	0.552799i	$-0.813560\pi$
$421$	−6.61457	−	28.9803i	−0.322374	−	1.41241i	0.510940	−	0.859616i	$-0.329297\pi$
$422$	2.96007			0.144094
$423$	−18.1073			−0.880409
$424$	2.27130	+	9.95124i	0.110304	+	0.483275i
$425$	−12.4858	−	6.01282i	−0.605648	−	0.291665i
$426$	8.00053	−	10.0323i	0.387627	−	0.486069i
$427$	12.6314	+	8.07361i	0.611276	+	0.390710i
$428$	4.61210	+	5.78339i	0.222934	+	0.279551i
$429$	3.84401	+	16.8417i	0.185591	+	0.813126i
$430$	15.8941	+	19.9306i	0.766481	+	0.961137i
$431$	−31.5688	−	15.2027i	−1.52061	−	0.732289i	−0.527513	−	0.849547i	$-0.676875\pi$
$431$	−31.5688	−	15.2027i	−1.52061	−	0.732289i	−0.993101	+	0.117258i	$0.962590\pi$
$432$	−0.356158	+	0.446609i	−0.0171357	+	0.0214875i
$433$	19.5381	−	9.40905i	0.938941	−	0.452170i	0.0991454	−	0.995073i	$-0.468389\pi$
$433$	19.5381	−	9.40905i	0.938941	−	0.452170i	0.839796	+	0.542903i	$0.182675\pi$
$434$	10.3661	+	1.24916i	0.497589	+	0.0599615i
$435$	−61.8785	−	29.7991i	−2.96684	−	1.42876i
$436$	0.159217	−	0.0766748i	0.00762510	−	0.00367205i
$437$	1.44482	−	6.33019i	0.0691153	−	0.302814i
$438$	−8.84093	+	4.25757i	−0.422436	+	0.203434i
$439$	3.23517	+	4.05678i	0.154406	+	0.193619i	0.853018	−	0.521882i	$-0.174770\pi$
$439$	3.23517	+	4.05678i	0.154406	+	0.193619i	−0.698611	+	0.715501i	$0.746198\pi$
$440$	15.6756			0.747304
$441$	−14.9280	−	12.2868i	−0.710858	−	0.585086i
$442$	2.35954			0.112232
$443$	2.44496	+	3.06588i	0.116163	+	0.145664i	0.836513	−	0.547946i	$-0.184590\pi$
$443$	2.44496	+	3.06588i	0.116163	+	0.145664i	−0.720350	+	0.693611i	$0.756019\pi$
$444$	3.19835	−	1.54024i	0.151787	−	0.0730967i
$445$	11.3862	−	49.8860i	0.539756	−	2.36482i
$446$	16.6833	−	8.03426i	0.789977	−	0.380433i
$447$	17.4429	+	8.40003i	0.825019	+	0.397308i
$448$	−0.275909	−	2.63133i	−0.0130355	−	0.124318i
$449$	23.2706	−	11.2065i	1.09821	−	0.528868i	0.205113	−	0.978738i	$-0.434244\pi$
$449$	23.2706	−	11.2065i	1.09821	−	0.528868i	0.893094	+	0.449870i	$0.148530\pi$
$450$	−18.3844	+	23.0533i	−0.866648	+	1.08674i
$451$	−31.6844	−	15.2584i	−1.49196	−	0.718490i
$452$	4.42726	+	5.55160i	0.208241	+	0.261126i
$453$	8.79605	+	38.5380i	0.413274	+	1.81067i
$454$	9.75598	+	12.2336i	0.457871	+	0.574152i
$455$	−18.0199	+	6.14960i	−0.844788	+	0.288298i
$456$	4.71957	−	5.91815i	0.221014	−	0.277143i
$457$	−5.04177	−	2.42799i	−0.235844	−	0.113576i	0.312229	−	0.950007i	$-0.398924\pi$
$457$	−5.04177	−	2.42799i	−0.235844	−	0.113576i	−0.548073	+	0.836430i	$0.684639\pi$
$458$	−4.97003	−	21.7751i	−0.232234	−	1.01748i
$459$	−0.741528			−0.0346116
$460$	−8.15213			−0.380095
$461$	−2.94124	−	12.8864i	−0.136987	−	0.600180i	−0.996087	−	0.0883729i	$-0.971833\pi$
$461$	−2.94124	−	12.8864i	−0.136987	−	0.600180i	0.859100	−	0.511807i	$-0.171024\pi$
$462$	21.1867	+	13.5419i	0.985696	+	0.630028i
$463$	1.77463	−	7.77517i	0.0824741	−	0.361343i	−0.916804	−	0.399338i	$-0.869240\pi$
$463$	1.77463	−	7.77517i	0.0824741	−	0.361343i	0.999278	+	0.0379952i	$0.0120972\pi$
$464$	1.60806	−	7.04535i	0.0746521	−	0.327072i
$465$	23.3844	−	29.3231i	1.08443	−	1.35983i
$466$	16.9161	−	21.2122i	0.783625	−	0.982634i
$467$	−0.133112	+	0.583204i	−0.00615971	+	0.0269874i	−0.977914	−	0.209006i	$-0.932977\pi$
$467$	−0.133112	+	0.583204i	−0.00615971	+	0.0269874i	0.971755	+	0.235993i	$0.0758344\pi$
$468$	1.11715	−	4.89457i	0.0516405	−	0.226252i
$469$	−1.81852	+	1.79064i	−0.0839716	+	0.0826840i
$470$	5.77577	+	25.3053i	0.266416	+	1.16725i
$471$	3.55197			0.163666
$472$	13.5088			0.621794
$473$	−5.67253	−	24.8530i	−0.260823	−	1.14274i
$474$	−26.1013	−	12.5697i	−1.19887	−	0.577346i
$475$	−20.9897	+	26.3202i	−0.963073	+	1.20766i
$476$	2.44724	−	2.40972i	0.112169	−	0.110449i
$477$	17.5777	+	22.0417i	0.804827	+	1.00922i
$478$	−0.209864	−	0.919475i	−0.00959896	−	0.0420558i
$479$	10.3144	+	12.9338i	0.471276	+	0.590962i	0.959483	−	0.281766i	$-0.0909202\pi$
$479$	10.3144	+	12.9338i	0.471276	+	0.590962i	−0.488207	+	0.872728i	$0.662349\pi$
$480$	−8.56267	−	4.12357i	−0.390831	−	0.188214i
$481$	1.67599	−	2.10163i	0.0764187	−	0.0958260i
$482$	8.88039	−	4.27657i	0.404491	−	0.194793i
$483$	−11.0182	−	7.04252i	−0.501346	−	0.320446i
$484$	−4.21256	−	2.02866i	−0.191480	−	0.0922118i
$485$	−51.8180	+	24.9542i	−2.35293	+	1.13311i
$486$	−4.77705	+	20.9296i	−0.216691	+	0.949387i
$487$	20.3564	−	9.80314i	0.922438	−	0.444223i	0.0884973	−	0.996076i	$-0.471794\pi$
$487$	20.3564	−	9.80314i	0.922438	−	0.444223i	0.833941	+	0.551854i	$0.186079\pi$
$488$	3.53277	+	4.42996i	0.159921	+	0.200535i
$489$	−23.3592			−1.05634
$490$	−12.4093	+	24.7813i	−0.560597	+	1.11950i
$491$	28.8575			1.30232			0.651160	−	0.758941i	$-0.274283\pi$
$491$	28.8575			1.30232			0.651160	+	0.758941i	$0.274283\pi$
$492$	13.2935	+	16.6696i	0.599319	+	0.751523i
$493$	8.45188	−	4.07021i	0.380654	−	0.183313i
$494$	1.27547	−	5.58820i	0.0573861	−	0.251425i
$495$	39.0087	−	18.7856i	1.75331	−	0.844350i
$496$	3.55555	+	1.71226i	0.159649	+	0.0768830i
$497$	−7.43194	−	12.0332i	−0.333368	−	0.539765i
$498$	2.74466	−	1.32176i	0.122991	−	0.0592295i
$499$	7.47050	−	9.36771i	0.334426	−	0.419356i	−0.585977	−	0.810327i	$-0.699289\pi$
$499$	7.47050	−	9.36771i	0.334426	−	0.419356i	0.920403	+	0.390971i	$0.127861\pi$
$500$	20.2457	+	9.74980i	0.905414	+	0.436025i
$501$	−4.35716	−	5.46371i	−0.194664	−	0.244100i
$502$	0.478787	+	2.09770i	0.0213693	+	0.0936251i
$503$	9.14316	+	11.4652i	0.407673	+	0.511206i	0.942706	−	0.333625i	$-0.108272\pi$
$503$	9.14316	+	11.4652i	0.407673	+	0.511206i	−0.535032	+	0.844832i	$0.679701\pi$
$504$	−3.83998	−	6.21741i	−0.171046	−	0.276945i
$505$	−13.5093	+	16.9402i	−0.601157	+	0.753827i
$506$	7.34481	+	3.53708i	0.326517	+	0.157242i
$507$	5.17911	+	22.6912i	0.230012	+	1.00775i
$508$	−10.8195			−0.480038
$509$	−38.4427			−1.70394			−0.851971	−	0.523589i	$-0.824593\pi$
$509$	−38.4427			−1.70394			−0.851971	+	0.523589i	$0.824593\pi$
$510$	−2.74526	−	12.0278i	−0.121562	−	0.532599i
$511$	1.12789	+	10.7566i	0.0498949	+	0.475844i
$512$	0.222521	−	0.974928i	0.00983413	−	0.0430861i
$513$	−0.400839	+	1.75619i	−0.0176975	+	0.0775377i
$514$	−1.58315	+	1.98520i	−0.0698296	+	0.0875636i
$515$	6.06069	−	7.59987i	0.267066	−	0.334890i
$516$	−3.43916	+	15.0680i	−0.151401	+	0.663330i
$517$	5.77577	−	25.3053i	0.254018	−	1.11292i
$518$	−0.408032	−	3.89137i	−0.0179279	−	0.170977i
$519$	−3.11291	−	13.6386i	−0.136642	−	0.598666i
$520$	−7.19658			−0.315591
$521$	40.1625			1.75955			0.879776	−	0.475388i	$-0.157692\pi$
$521$	40.1625			1.75955			0.879776	+	0.475388i	$0.157692\pi$
$522$	−4.44149	−	19.4595i	−0.194399	−	0.851717i
$523$	2.50988	+	1.20869i	0.109749	+	0.0528525i	0.487953	−	0.872870i	$-0.337744\pi$
$523$	2.50988	+	1.20869i	0.109749	+	0.0528525i	−0.378204	+	0.925722i	$0.623458\pi$
$524$	−7.95873	+	9.97993i	−0.347679	+	0.435975i
$525$	35.6271	+	57.6847i	1.55489	+	2.51757i
$526$	−14.3314	−	17.9709i	−0.624877	−	0.783571i
$527$	1.13994	+	4.99440i	0.0496566	+	0.217560i
$528$	5.92555	+	7.43041i	0.257877	+	0.323367i
$529$	16.9026	+	8.13986i	0.734895	+	0.353907i
$530$	25.1968	−	31.5958i	1.09448	−	1.37243i
$531$	33.6167	−	16.1890i	1.45884	−	0.702541i
$532$	−4.38415	−	7.09849i	−0.190077	−	0.307759i
$533$	14.5462	+	7.00506i	0.630064	+	0.303423i
$534$	27.9507	−	13.4603i	1.20954	−	0.582485i
$535$	6.51707	−	28.5531i	0.281757	−	1.23446i
$536$	−0.869091	+	0.418532i	−0.0375390	+	0.0180778i
$537$	−11.7462	−	14.7293i	−0.506886	−	0.635614i
$538$	−18.7337			−0.807665
$539$	21.9326	−	16.9430i	0.944705	−	0.729785i
$540$	2.26165			0.0973260
$541$	22.0891	+	27.6989i	0.949685	+	1.19087i	0.981517	+	0.191374i	$0.0612944\pi$
$541$	22.0891	+	27.6989i	0.949685	+	1.19087i	−0.0318321	+	0.999493i	$0.510134\pi$
$542$	−11.4133	+	5.49635i	−0.490243	+	0.236088i
$543$	−1.36863	+	5.99636i	−0.0587336	+	0.257329i
$544$	1.16956	−	0.563231i	0.0501446	−	0.0241483i
$545$	−0.630377	−	0.303574i	−0.0270024	−	0.0130037i
$546$	−9.72672	−	6.21704i	−0.416265	−	0.266065i
$547$	−16.0494	+	7.72897i	−0.686221	+	0.330467i	−0.744300	−	0.667845i	$-0.767217\pi$
$547$	−16.0494	+	7.72897i	−0.686221	+	0.330467i	0.0580790	+	0.998312i	$0.481502\pi$
$548$	4.60305	−	5.77204i	0.196633	−	0.246569i
$549$	14.1002	+	6.79028i	0.601781	+	0.289802i
$550$	−26.3532	−	33.0458i	−1.12370	−	1.40908i
$551$	−5.07091	−	22.2171i	−0.216028	−	0.946481i
$552$	−3.08160	−	3.86420i	−0.131162	−	0.164471i
$553$	−22.7524	+	22.4036i	−0.967533	+	0.952697i
$554$	−6.54631	+	8.20882i	−0.278126	+	0.348759i
$555$	−12.6630	−	6.09820i	−0.537516	−	0.258854i
$556$	−1.21356	−	5.31695i	−0.0514663	−	0.225489i
$557$	−35.3818			−1.49918			−0.749588	−	0.661905i	$-0.769748\pi$
$557$	−35.3818			−1.49918			−0.749588	+	0.661905i	$0.769748\pi$
$558$	10.9000			0.461433
$559$	2.60423	+	11.4099i	0.110147	+	0.482587i
$560$	−7.46407	+	7.34961i	−0.315414	+	0.310578i
$561$	−2.74526	+	12.0278i	−0.115905	+	0.507813i
$562$	−6.48817	+	28.4265i	−0.273687	+	1.19910i
$563$	11.6677	−	14.6308i	0.491735	−	0.616617i	−0.472607	−	0.881273i	$-0.656687\pi$
$563$	11.6677	−	14.6308i	0.491735	−	0.616617i	0.964343	+	0.264657i	$0.0852586\pi$
$564$	−9.81169	+	12.3035i	−0.413147	+	0.518070i
$565$	6.25588	−	27.4088i	0.263187	−	1.15310i
$566$	−4.40485	+	19.2989i	−0.185150	+	0.811194i
$567$	21.5288	+	13.7606i	0.904124	+	0.577890i
$568$	−1.18952	−	5.21164i	−0.0499112	−	0.218675i
$569$	−3.21289			−0.134692			−0.0673458	−	0.997730i	$-0.521453\pi$
$569$	−3.21289			−0.134692			−0.0673458	+	0.997730i	$0.521453\pi$
$570$	−29.9698			−1.25530
$571$	2.08814	+	9.14875i	0.0873860	+	0.382863i	0.999642	−	0.0267575i	$-0.00851818\pi$
$571$	2.08814	+	9.14875i	0.0873860	+	0.382863i	−0.912256	+	0.409621i	$0.865661\pi$
$572$	6.48390	+	3.12248i	0.271105	+	0.130557i
$573$	−11.2653	+	14.1263i	−0.470616	+	0.590133i
$574$	22.2408	−	7.59004i	0.928314	−	0.316802i
$575$	13.7050	+	17.1856i	0.571539	+	0.716688i
$576$	−0.614609	−	2.69278i	−0.0256087	−	0.112199i
$577$	−14.3264	−	17.9647i	−0.596414	−	0.747880i	0.388400	−	0.921491i	$-0.373028\pi$
$577$	−14.3264	−	17.9647i	−0.596414	−	0.747880i	−0.984814	+	0.173611i	$0.944456\pi$
$578$	−13.7982	−	6.64488i	−0.573931	−	0.276391i
$579$	−18.9877	+	23.8098i	−0.789101	+	0.989502i
$580$	−25.7782	+	12.4141i	−1.07038	+	0.515468i
$581$	−0.350153	−	3.33938i	−0.0145268	−	0.138541i
$582$	−31.4164	−	15.1293i	−1.30225	−	0.627132i
$583$	−36.4105	+	17.5344i	−1.50797	+	0.726199i
$584$	−0.909644	+	3.98541i	−0.0376413	+	0.164917i
$585$	−17.9087	+	8.62438i	−0.740434	+	0.356574i
$586$	1.85152	+	2.32173i	0.0764854	+	0.0959097i
$587$	−3.95804			−0.163366			−0.0816829	−	0.996658i	$-0.526029\pi$
$587$	−3.95804			−0.163366			−0.0816829	+	0.996658i	$0.526029\pi$
$588$	−16.4375	+	3.48544i	−0.677871	+	0.143737i
$589$	12.4446			0.512773
$590$	−33.3472	−	41.8160i	−1.37288	−	1.72154i
$591$	12.8548	−	6.19056i	0.528777	−	0.254646i
$592$	0.329078	−	1.44179i	0.0135250	−	0.0592571i
$593$	−31.9450	+	15.3839i	−1.31182	+	0.631741i	−0.953369	−	0.301806i	$-0.902411\pi$
$593$	−31.9450	+	15.3839i	−1.31182	+	0.631741i	−0.358455	+	0.933547i	$0.616696\pi$
$594$	−2.03768	−	0.981294i	−0.0836069	−	0.0402630i
$595$	−13.5003	−	1.62684i	−0.553459	−	0.0666940i
$596$	7.26658	−	3.49940i	0.297651	−	0.143341i
$597$	−25.1276	+	31.5090i	−1.02840	+	1.28958i
$598$	−3.37197	−	1.62385i	−0.137890	−	0.0664043i
$599$	−6.51171	−	8.16543i	−0.266061	−	0.333630i	0.630797	−	0.775948i	$-0.282728\pi$
$599$	−6.51171	−	8.16543i	−0.266061	−	0.333630i	−0.896859	+	0.442317i	$0.854156\pi$
$600$	5.70230	+	24.9834i	0.232796	+	1.01994i
$601$	−17.4217	−	21.8461i	−0.710644	−	0.891120i	0.287124	−	0.957893i	$-0.407301\pi$
$601$	−17.4217	−	21.8461i	−0.710644	−	0.891120i	−0.997768	+	0.0667737i	$0.978729\pi$
$602$	14.3535	+	9.17436i	0.585006	+	0.373919i
$603$	−1.66117	+	2.08304i	−0.0676479	+	0.0848278i
$604$	14.8368	+	7.14500i	0.603699	+	0.290726i
$605$	4.11926	+	18.0476i	0.167472	+	0.733741i
$606$	−13.1365			−0.533634
$607$	23.9813			0.973370			0.486685	−	0.873578i	$-0.338206\pi$
$607$	23.9813			0.973370			0.486685	+	0.873578i	$0.338206\pi$
$608$	−0.701707	−	3.07438i	−0.0284580	−	0.124683i
$609$	−45.5655	−	5.49083i	−1.84641	−	0.222500i
$610$	4.99194	−	21.8711i	0.202118	−	0.885536i
$611$	−2.65162	+	11.6175i	−0.107273	+	0.469995i
$612$	2.23548	−	2.80320i	0.0903639	−	0.113313i
$613$	−6.96590	+	8.73496i	−0.281350	+	0.352802i	−0.902346	−	0.431012i	$-0.858157\pi$
$613$	−6.96590	+	8.73496i	−0.281350	+	0.352802i	0.620996	+	0.783813i	$0.286728\pi$
$614$	−3.26395	+	14.3003i	−0.131722	+	0.577112i
$615$	18.7843	−	82.2993i	0.757455	−	3.31863i
$616$	9.91377	−	3.38324i	0.399437	−	0.136314i
$617$	7.21949	+	31.6307i	0.290646	+	1.27340i	0.883629	+	0.468188i	$0.155093\pi$
$617$	7.21949	+	31.6307i	0.290646	+	1.27340i	−0.592983	+	0.805215i	$0.702050\pi$
$618$	5.89344			0.237069
$619$	32.0659			1.28884			0.644420	−	0.764672i	$-0.277099\pi$
$619$	32.0659			1.28884			0.644420	+	0.764672i	$0.277099\pi$
$620$	−3.47680	−	15.2329i	−0.139632	−	0.611767i
$621$	1.05970	+	0.510324i	0.0425243	+	0.0204786i
$622$	12.1584	−	15.2462i	0.487508	−	0.611316i
$623$	−3.56583	−	34.0071i	−0.142862	−	1.36246i
$624$	−2.72039	−	3.41126i	−0.108903	−	0.136560i
$625$	−7.91956	−	34.6979i	−0.316783	−	1.38792i
$626$	3.77234	+	4.73036i	0.150773	+	0.189063i
$627$	27.0019	+	13.0034i	1.07835	+	0.519307i
$628$	0.922594	−	1.15690i	0.0368155	−	0.0461652i
$629$	1.72962	−	0.832943i	0.0689646	−	0.0332116i
$630$	−9.76657	+	27.2344i	−0.389109	+	1.08505i
$631$	40.4274	+	19.4688i	1.60939	+	0.775042i	0.999843	−	0.0177082i	$-0.00563699\pi$
$631$	40.4274	+	19.4688i	1.60939	+	0.775042i	0.609547	+	0.792750i	$0.291351\pi$
$632$	−10.8736	+	5.23646i	−0.432530	+	0.208295i
$633$	1.58110	−	6.92726i	0.0628432	−	0.275334i
$634$	−12.0636	+	5.80951i	−0.479106	+	0.230725i
$635$	26.7084	+	33.4913i	1.05989	+	1.32906i
$636$	24.5015			0.971547
$637$	−10.0692	+	7.77842i	−0.398955	+	0.308192i
$638$	28.6116			1.13274
$639$	−9.20574	−	11.5436i	−0.364174	−	0.456659i
$640$	−3.56715	+	1.71785i	−0.141004	+	0.0679040i
$641$	−7.36205	+	32.2552i	−0.290783	+	1.27401i	0.592654	+	0.805457i	$0.298080\pi$
$641$	−7.36205	+	32.2552i	−0.290783	+	1.27401i	−0.883438	+	0.468548i	$0.844777\pi$
$642$	15.9980	−	7.70425i	0.631393	−	0.304063i
$643$	−7.86767	−	3.78887i	−0.310270	−	0.149418i	0.272268	−	0.962221i	$-0.412226\pi$
$643$	−7.86767	−	3.78887i	−0.310270	−	0.149418i	−0.582539	+	0.812803i	$0.697941\pi$
$644$	−5.15568	+	1.75946i	−0.203162	+	0.0693324i
$645$	55.1320	−	26.5502i	2.17082	−	1.04541i
$646$	2.55228	−	3.20045i	0.100418	−	0.125920i
$647$	−12.7635	−	6.14658i	−0.501785	−	0.241647i	0.165829	−	0.986155i	$-0.446970\pi$
$647$	−12.7635	−	6.14658i	−0.501785	−	0.241647i	−0.667614	+	0.744508i	$0.732684\pi$
$648$	6.02122	+	7.55037i	0.236536	+	0.296607i
$649$	11.9015	+	52.1437i	0.467173	+	2.04682i
$650$	12.0986	+	15.1712i	0.474547	+	0.595062i
$651$	8.46033	−	23.5920i	0.331586	−	0.924641i
$652$	−6.06736	+	7.60823i	−0.237616	+	0.297961i
$653$	−0.243916	−	0.117464i	−0.00954518	−	0.00459671i	0.429105	−	0.903255i	$-0.358829\pi$
$653$	−0.243916	−	0.117464i	−0.00954518	−	0.00459671i	−0.438650	+	0.898658i	$0.644543\pi$
$654$	−0.0943925	−	0.413561i	−0.00369104	−	0.0161715i
$655$	50.5389			1.97472
$656$	8.88227			0.346794
$657$	2.51246	+	11.0078i	0.0980205	+	0.429456i
$658$	9.11439	+	14.7573i	0.355316	+	0.575301i
$659$	9.57099	−	41.9332i	0.372833	−	1.63349i	−0.345950	−	0.938253i	$-0.612443\pi$
$659$	9.57099	−	41.9332i	0.372833	−	1.63349i	0.718783	−	0.695235i	$-0.244699\pi$
$660$	8.37302	−	36.6846i	0.325920	−	1.42795i
$661$	−24.0384	+	30.1432i	−0.934984	+	1.17243i	0.0498185	+	0.998758i	$0.484136\pi$
$661$	−24.0384	+	30.1432i	−0.934984	+	1.17243i	−0.984803	+	0.173675i	$0.944436\pi$
$662$	−16.5914	+	20.8050i	−0.644844	+	0.808608i
$663$	1.26034	−	5.52189i	0.0489474	−	0.214453i
$664$	0.282399	−	1.23727i	0.0109592	−	0.0480153i
$665$	−11.1506	+	31.0939i	−0.432402	+	1.20577i
$666$	−0.908924	−	3.98225i	−0.0352201	−	0.154309i
$667$	−14.8795			−0.576138
$668$	−2.91130			−0.112641
$669$	−9.89079	−	43.3344i	−0.382400	−	1.67540i
$670$	3.44094	+	1.65707i	0.132935	+	0.0640182i
$671$	−13.9871	+	17.5393i	−0.539966	+	0.677096i
$672$	−6.30531	−	0.759815i	−0.243232	−	0.0293105i
$673$	−31.1268	−	39.0318i	−1.19985	−	1.50456i	−0.812839	−	0.582488i	$-0.802079\pi$
$673$	−31.1268	−	39.0318i	−1.19985	−	1.50456i	−0.387010	−	0.922075i	$-0.626492\pi$
$674$	−1.16103	−	5.08680i	−0.0447211	−	0.195936i
$675$	−3.80220	−	4.76781i	−0.146347	−	0.183513i
$676$	8.73587	+	4.20697i	0.335995	+	0.161807i
$677$	8.60774	−	10.7938i	0.330822	−	0.414838i	−0.588404	−	0.808567i	$-0.700244\pi$
$677$	8.60774	−	10.7938i	0.330822	−	0.414838i	0.919227	+	0.393729i	$0.128815\pi$
$678$	15.3569	−	7.39548i	0.589777	−	0.284022i
$679$	−27.3856	+	26.9657i	−1.05096	+	1.03485i
$680$	−4.63058	−	2.22997i	−0.177575	−	0.0855154i
$681$	33.8407	−	16.2968i	1.29678	−	0.624495i
$682$	−3.47680	+	15.2329i	−0.133134	+	0.583297i
$683$	−9.01610	+	4.34192i	−0.344991	+	0.166139i	−0.598353	−	0.801233i	$-0.704178\pi$
$683$	−9.01610	+	4.34192i	−0.344991	+	0.166139i	0.253362	+	0.967372i	$0.418464\pi$
$684$	−5.43053	−	6.80967i	−0.207642	−	0.260374i
$685$	−29.2300			−1.11682
$686$	−2.49958	+	18.3508i	−0.0954345	+	0.700637i
$687$	−53.6137			−2.04549
$688$	4.01443	+	5.03393i	0.153049	+	0.191917i
$689$	16.7159	−	8.04993i	0.636824	−	0.306678i
$690$	−4.35441	+	19.0779i	−0.165770	+	0.726284i
$691$	−19.0403	+	9.16934i	−0.724328	+	0.348818i	−0.759451	−	0.650565i	$-0.774532\pi$
$691$	−19.0403	+	9.16934i	−0.724328	+	0.348818i	0.0351225	+	0.999383i	$0.488818\pi$
$692$	−5.25071	−	2.52861i	−0.199602	−	0.0961233i
$693$	20.6160	−	20.2998i	0.783136	−	0.771127i
$694$	−3.54350	+	1.70646i	−0.134509	+	0.0647763i
$695$	−13.4627	+	16.8816i	−0.510668	+	0.640357i
$696$	−15.6289	−	7.52647i	−0.592411	−	0.285290i
$697$	7.18897	+	9.01468i	0.272302	+	0.341456i
$698$	4.59896	+	20.1494i	0.174073	+	0.762665i
$699$	−40.6059	−	50.9181i	−1.53585	−	1.92590i
$700$	28.0421	+	3.37918i	1.05989	+	0.127721i
$701$	−5.68782	+	7.13230i	−0.214826	+	0.269383i	−0.877555	−	0.479476i	$-0.840827\pi$
$701$	−5.68782	+	7.13230i	−0.214826	+	0.269383i	0.662729	+	0.748859i	$0.269398\pi$
$702$	0.935488	+	0.450507i	0.0353077	+	0.0170033i
$703$	−1.03773	−	4.54659i	−0.0391387	−	0.171478i
$704$	3.95924			0.149219
$705$	62.3055			2.34656
$706$	−3.84382	−	16.8409i	−0.144664	−	0.633814i
$707$	−4.88759	+	13.6292i	−0.183817	+	0.512580i
$708$	7.21566	−	31.6139i	0.271181	−	1.18812i
$709$	−3.26559	+	14.3075i	−0.122642	+	0.537328i	0.875858	+	0.482569i	$0.160296\pi$
$709$	−3.26559	+	14.3075i	−0.122642	+	0.537328i	−0.998500	+	0.0547592i	$0.982561\pi$
$710$	−13.1960	+	16.5473i	−0.495238	+	0.621008i
$711$	−20.7837	+	26.0619i	−0.779448	+	0.977397i
$712$	2.87584	−	12.5999i	0.107777	−	0.472201i
$713$	1.80812	−	7.92190i	0.0677147	−	0.296677i
$714$	−4.33213	−	7.01427i	−0.162126	−	0.262502i
$715$	−6.34029	−	27.7786i	−0.237113	−	1.03886i
$716$	−7.84838			−0.293308
$717$	−2.26389			−0.0845465
$718$	3.65616	+	16.0187i	0.136447	+	0.597812i
$719$	24.6012	+	11.8473i	0.917469	+	0.441830i	0.832167	−	0.554525i	$-0.187100\pi$
$719$	24.6012	+	11.8473i	0.917469	+	0.441830i	0.0853024	+	0.996355i	$0.472814\pi$
$720$	−6.81819	+	8.54974i	−0.254099	+	0.318630i
$721$	2.19272	−	6.11448i	0.0816611	−	0.227715i
$722$	5.64620	+	7.08011i	0.210130	+	0.263494i
$723$	−5.26479	−	23.0665i	−0.195800	−	0.857854i
$724$	1.59756	+	2.00328i	0.0593728	+	0.0744512i
$725$	69.5075	+	33.4730i	2.58144	+	1.24316i
$726$	−6.99766	+	8.77479i	−0.259708	+	0.325663i
$727$	4.28076	−	2.06151i	0.158765	−	0.0764570i	−0.352814	−	0.935693i	$-0.614775\pi$
$727$	4.28076	−	2.06151i	0.158765	−	0.0764570i	0.511579	+	0.859236i	$0.329061\pi$
$728$	−4.55136	+	1.55323i	−0.168685	+	0.0575664i
$729$	20.3259	+	9.78845i	0.752812	+	0.362535i
$730$	14.5822	−	7.02240i	0.539710	−	0.259911i
$731$	−1.85985	+	8.14855i	−0.0687891	+	0.301385i
$732$	12.2542	−	5.90130i	0.452927	−	0.218118i
$733$	−28.8491	−	36.1756i	−1.06557	−	1.33618i	−0.938884	−	0.344233i	$-0.888139\pi$
$733$	−28.8491	−	36.1756i	−1.06557	−	1.33618i	−0.126681	−	0.991944i	$-0.540432\pi$
$734$	15.4074			0.568698
$735$	51.3657	+	42.2776i	1.89465	+	1.55943i
$736$	−2.05901			−0.0758962
$737$	−2.38120	−	2.98594i	−0.0877128	−	0.109988i
$738$	22.1035	−	10.6445i	0.813642	−	0.391830i
$739$	−10.5158	+	46.0729i	−0.386831	+	1.69482i	0.288645	+	0.957436i	$0.406795\pi$
$739$	−10.5158	+	46.0729i	−0.386831	+	1.69482i	−0.675476	+	0.737382i	$0.736062\pi$
$740$	−5.27534	+	2.54047i	−0.193925	+	0.0933895i
$741$	−12.3964	−	5.96981i	−0.455394	−	0.219306i
$742$	9.11605	−	25.4204i	0.334661	−	0.933214i
$743$	13.8146	−	6.65277i	0.506809	−	0.244067i	−0.162964	−	0.986632i	$-0.552105\pi$
$743$	13.8146	−	6.65277i	0.506809	−	0.244067i	0.669773	+	0.742565i	$0.266391\pi$
$744$	5.90629	−	7.40625i	0.216535	−	0.271526i
$745$	−28.7701	−	13.8550i	−1.05406	−	0.507606i
$746$	−23.4016	−	29.3447i	−0.856795	−	1.07439i
$747$	−0.779993	−	3.41737i	−0.0285384	−	0.125035i
$748$	3.20446	+	4.01826i	0.117167	+	0.146922i
$749$	−2.04096	−	19.4645i	−0.0745752	−	0.711219i
$750$	33.6310	−	42.1719i	1.22803	−	1.53990i
$751$	−12.7598	−	6.14481i	−0.465613	−	0.224227i	0.186342	−	0.982485i	$-0.440337\pi$
$751$	−12.7598	−	6.14481i	−0.465613	−	0.224227i	−0.651955	+	0.758258i	$0.726051\pi$
$752$	1.45881	+	6.39145i	0.0531972	+	0.233072i
$753$	5.16487			0.188218
$754$	−13.1354			−0.478364
$755$	−14.5081	−	63.5643i	−0.528005	−	2.31334i
$756$	1.43035	−	0.488129i	0.0520211	−	0.0177531i
$757$	−9.25495	+	40.5486i	−0.336377	+	1.47376i	0.470161	+	0.882581i	$0.344196\pi$
$757$	−9.25495	+	40.5486i	−0.336377	+	1.47376i	−0.806538	+	0.591183i	$0.798661\pi$
$758$	3.52761	−	15.4555i	0.128129	−	0.561368i
$759$	12.2008	−	15.2993i	0.442861	−	0.555330i
$760$	−7.78442	+	9.76135i	−0.282371	+	0.354081i
$761$	5.68815	−	24.9214i	0.206195	−	0.903401i	−0.760876	−	0.648897i	$-0.775231\pi$
$761$	5.68815	−	24.9214i	0.206195	−	0.903401i	0.967072	−	0.254504i	$-0.0819122\pi$
$762$	−5.77918	+	25.3202i	−0.209357	+	0.917255i
$763$	−0.464192	−	0.0559370i	−0.0168049	−	0.00202505i
$764$	1.67493	+	7.33836i	0.0605970	+	0.265493i
$765$	−14.1956			−0.513243
$766$	32.5993			1.17786
$767$	−5.46390	−	23.9389i	−0.197290	−	0.864384i
$768$	−2.16271	−	1.04150i	−0.0780399	−	0.0375820i
$769$	25.2302	−	31.6377i	0.909824	−	1.14088i	−0.0797440	−	0.996815i	$-0.525410\pi$
$769$	25.2302	−	31.6377i	0.909824	−	1.14088i	0.989568	−	0.144068i	$-0.0460183\pi$
$770$	−34.9453	−	22.3360i	−1.25934	−	0.804933i
$771$	3.80022	+	4.76533i	0.136862	+	0.171619i
$772$	2.82310	+	12.3688i	0.101605	+	0.445163i
$773$	21.5573	+	27.0320i	0.775363	+	0.972274i	0.999998	−	0.00216874i	$-0.000690332\pi$
$773$	21.5573	+	27.0320i	0.775363	+	0.972274i	−0.224635	+	0.974443i	$0.572119\pi$
$774$	16.0226	+	7.71606i	0.575919	+	0.277348i
$775$	−26.2675	+	32.9384i	−0.943556	+	1.18318i
$776$	−13.0879	+	6.30278i	−0.469827	+	0.226257i
$777$	−9.32469	−	1.12366i	−0.334522	−	0.0403112i
$778$	31.0927	+	14.9734i	1.11473	+	0.536824i
$779$	25.2359	−	12.1530i	0.904170	−	0.435425i
$780$	−3.84401	+	16.8417i	−0.137638	+	0.603030i
$781$	19.0688	−	9.18305i	0.682335	−	0.328595i
$782$	−1.66649	−	2.08971i	−0.0595935	−	0.0747278i
$783$	4.12804			0.147524
$784$	−3.13427	+	6.25910i	−0.111938	+	0.223539i
$785$	−5.85859			−0.209102
$786$	19.1043	+	23.9560i	0.681428	+	0.854484i
$787$	27.2890	−	13.1417i	0.972748	−	0.468451i	0.121143	−	0.992635i	$-0.461344\pi$
$787$	27.2890	−	13.1417i	0.972748	−	0.468451i	0.851605	+	0.524184i	$0.175630\pi$
$788$	1.32263	−	5.79484i	0.0471169	−	0.206433i
$789$	−49.7113	+	23.9397i	−1.76977	+	0.852276i
$790$	43.0513	+	20.7324i	1.53170	+	0.737626i
$791$	−1.95917	−	18.6844i	−0.0696599	−	0.664342i
$792$	9.85257	−	4.74475i	0.350096	−	0.168597i
$793$	6.42141	−	8.05219i	0.228031	−	0.285942i
$794$	−9.53425	−	4.59145i	−0.338358	−	0.162945i
$795$	−60.4830	−	75.8433i	−2.14511	−	2.68988i
$796$	3.73598	+	16.3684i	0.132418	+	0.580162i
$797$	16.5033	+	20.6944i	0.584575	+	0.733034i	0.982886	−	0.184216i	$-0.0589748\pi$
$797$	16.5033	+	20.6944i	0.584575	+	0.733034i	−0.398310	+	0.917251i	$0.630403\pi$
$798$	−18.9539	+	6.46834i	−0.670962	+	0.228977i
$799$	−5.30603	+	6.65355i	−0.187714	+	0.235386i
$800$	9.61837	+	4.63196i	0.340061	+	0.163765i
$801$	−7.94316	−	34.8013i	−0.280658	−	1.22964i
$802$	−31.4258			−1.10968
$803$	−16.1850			−0.571156
$804$	0.515245	+	2.25744i	0.0181713	+	0.0796137i
$805$	18.1734	+	11.6159i	0.640527	+	0.409406i
$806$	1.59618	−	6.99334i	0.0562232	−	0.246330i
$807$	−10.0065	+	43.8412i	−0.352245	+	1.54328i
$808$	−3.41210	+	4.27864i	−0.120037	+	0.150522i
$809$	17.7895	−	22.3073i	0.625444	−	0.784282i	−0.363655	−	0.931534i	$-0.618471\pi$
$809$	17.7895	−	22.3073i	0.625444	−	0.784282i	0.989099	+	0.147252i	$0.0470427\pi$
$810$	8.50820	−	37.2769i	0.298948	−	1.30978i
$811$	−4.46348	+	19.5558i	−0.156734	+	0.686697i	0.834100	+	0.551613i	$0.185987\pi$
$811$	−4.46348	+	19.5558i	−0.156734	+	0.686697i	−0.990834	+	0.135084i	$0.956870\pi$
$812$	−13.6237	+	13.4148i	−0.478097	+	0.470766i
$813$	6.76643	+	29.6457i	0.237309	+	1.03972i
$814$	5.85518			0.205224
$815$	38.5285			1.34959
$816$	−0.693381	−	3.03790i	−0.0242732	−	0.106348i
$817$	18.2932	+	8.80953i	0.639997	+	0.308206i
$818$	2.23709	−	2.80522i	0.0782180	−	0.0980822i
$819$	−9.46468	+	9.31955i	−0.330723	+	0.325652i
$820$	−21.9263	−	27.4947i	−0.765699	−	0.960156i
$821$	−9.08493	−	39.8037i	−0.317066	−	1.38916i	−0.842671	−	0.538429i	$-0.819018\pi$
$821$	−9.08493	−	39.8037i	−0.317066	−	1.38916i	0.525604	−	0.850729i	$-0.323839\pi$
$822$	−11.0493	−	13.8553i	−0.385387	−	0.483260i
$823$	−44.8493	−	21.5983i	−1.56335	−	0.752869i	−0.565914	−	0.824464i	$-0.691477\pi$
$823$	−44.8493	−	21.5983i	−1.56335	−	0.752869i	−0.997434	+	0.0715952i	$0.977191\pi$
$824$	1.53077	−	1.91953i	0.0533270	−	0.0668699i
$825$	−91.4115	+	44.0215i	−3.18254	+	1.53263i
$826$	−30.1150	−	19.2486i	−1.04783	−	0.669744i
$827$	13.9742	+	6.72964i	0.485932	+	0.234013i	0.660775	−	0.750584i	$-0.270228\pi$
$827$	13.9742	+	6.72964i	0.485932	+	0.234013i	−0.174843	+	0.984596i	$0.555942\pi$
$828$	−5.12386	+	2.46752i	−0.178066	+	0.0857522i
$829$	−5.68210	+	24.8949i	−0.197348	+	0.864636i	0.775160	+	0.631765i	$0.217669\pi$
$829$	−5.68210	+	24.8949i	−0.197348	+	0.864636i	−0.972508	+	0.232871i	$0.925188\pi$
$830$	−4.52703	+	2.18010i	−0.157135	+	0.0756724i
$831$	15.7139	+	19.7046i	0.545110	+	0.683546i
$832$	−1.81767			−0.0630163
$833$	−8.88917	+	1.88488i	−0.307992	+	0.0653072i
$834$	−13.0911			−0.453309
$835$	7.18667	+	9.01180i	0.248705	+	0.311866i
$836$	11.2488	−	5.41714i	0.389048	−	0.187356i
$837$	−0.501629	+	2.19778i	−0.0173388	+	0.0759663i
$838$	22.5516	−	10.8603i	0.779032	−	0.375162i
$839$	25.2956	+	12.1817i	0.873303	+	0.420560i	0.816174	−	0.577806i	$-0.196091\pi$
$839$	25.2956	+	12.1817i	0.873303	+	0.420560i	0.0571289	+	0.998367i	$0.481805\pi$
$840$	13.2130	+	21.3935i	0.455890	+	0.738144i
$841$	−20.9230	+	10.0760i	−0.721484	+	0.347448i
$842$	−18.5336	+	23.2404i	−0.638711	+	0.800918i
$843$	63.0593	+	30.3677i	2.17188	+	1.04592i
$844$	−1.84557	−	2.31427i	−0.0635272	−	0.0796605i
$845$	−8.54239	−	37.4266i	−0.293867	−	1.28752i
$846$	11.2897	+	14.1569i	0.388149	+	0.486724i
$847$	6.50035	+	10.5249i	0.223355	+	0.361639i
$848$	6.36405	−	7.98027i	0.218543	−	0.274044i
$849$	42.8113	+	20.6168i	1.46928	+	0.707567i
$850$	3.08373	+	13.5107i	0.105771	+	0.463413i
$851$	−3.04500			−0.104381
$852$	−12.8318			−0.439612
$853$	3.12107	+	13.6743i	0.106864	+	0.468200i	0.999836	+	0.0180892i	$0.00575828\pi$
$853$	3.12107	+	13.6743i	0.106864	+	0.468200i	−0.892973	+	0.450111i	$0.851385\pi$
$854$	−1.56334	−	14.9094i	−0.0534962	−	0.510190i
$855$	−7.67354	+	33.6200i	−0.262430	+	1.14978i
$856$	1.64604	−	7.21177i	0.0562605	−	0.246493i
$857$	17.9990	−	22.5701i	0.614835	−	0.770979i	−0.372772	−	0.927923i	$-0.621593\pi$
$857$	17.9990	−	22.5701i	0.614835	−	0.770979i	0.987607	+	0.156944i	$0.0501642\pi$
$858$	10.7707	−	13.5060i	0.367705	−	0.461088i
$859$	2.42704	−	10.6335i	0.0828094	−	0.362812i	−0.916497	−	0.400041i	$-0.868996\pi$
$859$	2.42704	−	10.6335i	0.0828094	−	0.362812i	0.999307	+	0.0372290i	$0.0118531\pi$
$860$	5.67253	−	24.8530i	0.193432	−	0.847480i
$861$	−5.88271	−	56.1030i	−0.200482	−	1.91199i
$862$	7.79684	+	34.1602i	0.265561	+	1.16350i
$863$	17.5244			0.596539			0.298269	−	0.954482i	$-0.403591\pi$
$863$	17.5244			0.596539			0.298269	+	0.954482i	$0.403591\pi$
$864$	0.571234			0.0194338
$865$	5.13442	+	22.4953i	0.174575	+	0.764865i
$866$	−19.5381	−	9.40905i	−0.663931	−	0.319733i
$867$	−22.9209	+	28.7419i	−0.778433	+	0.976125i
$868$	−5.48653	−	8.88339i	−0.186225	−	0.301522i
$869$	−29.7924	−	37.3585i	−1.01064	−	1.26730i
$870$	15.2827	+	66.9580i	0.518133	+	2.27009i
$871$	1.09320	+	1.37083i	0.0370416	+	0.0464487i
$872$	−0.159217	−	0.0766748i	−0.00539176	−	0.00259653i
$873$	−25.0159	+	31.3690i	−0.846661	+	1.06168i
$874$	−5.84997	+	2.81720i	−0.197878	+	0.0952932i
$875$	−31.2409	−	50.5829i	−1.05613	−	1.71001i
$876$	8.84093	+	4.25757i	0.298707	+	0.143850i
$877$	9.43605	−	4.54416i	0.318633	−	0.153445i	−0.267730	−	0.963494i	$-0.586274\pi$
$877$	9.43605	−	4.54416i	0.318633	−	0.153445i	0.586363	+	0.810049i	$0.300559\pi$
$878$	1.15462	−	5.05872i	0.0389665	−	0.170723i
$879$	6.42237	−	3.09285i	0.216621	−	0.104319i
$880$	−9.77357	−	12.2557i	−0.329467	−	0.413138i
$881$	−0.392866			−0.0132360			−0.00661800	−	0.999978i	$-0.502107\pi$
$881$	−0.392866			−0.0132360			−0.00661800	+	0.999978i	$0.502107\pi$
$882$	−0.298741	+	19.3319i	−0.0100591	+	0.650938i
$883$	−29.6265			−0.997010			−0.498505	−	0.866887i	$-0.666117\pi$
$883$	−29.6265			−0.997010			−0.498505	+	0.866887i	$0.666117\pi$
$884$	−1.47115	−	1.84476i	−0.0494802	−	0.0620462i
$885$	−115.672	+	55.7045i	−3.88826	+	1.87249i
$886$	0.872595	−	3.82309i	0.0293154	−	0.128439i
$887$	−19.1766	+	9.23497i	−0.643888	+	0.310080i	−0.727182	−	0.686445i	$-0.759170\pi$
$887$	−19.1766	+	9.23497i	−0.643888	+	0.310080i	0.0832938	+	0.996525i	$0.473456\pi$
$888$	−3.19835	−	1.54024i	−0.107330	−	0.0516872i
$889$	24.1197	+	15.4166i	0.808949	+	0.517057i
$890$	−46.1016	+	22.2014i	−1.54533	+	0.744192i
$891$	−23.8395	+	29.8937i	−0.798652	+	1.00148i
$892$	−16.6833	−	8.03426i	−0.558598	−	0.269007i
$893$	12.8896	+	16.1631i	0.431336	+	0.540878i
$894$	−4.30803	−	18.8747i	−0.144082	−	0.631265i
$895$	19.3741	+	24.2943i	0.647604	+	0.812070i
$896$	−1.88523	+	1.85632i	−0.0629810	+	0.0620153i
$897$	−5.60132	+	7.02384i	−0.187023	+	0.234519i
$898$	−23.2706	−	11.2065i	−0.776549	−	0.373966i
$899$	−6.34598	−	27.8035i	−0.211650	−	0.927300i
$900$	29.4863			0.982875
$901$	13.2501			0.441424
$902$	7.82540	+	34.2853i	0.260557	+	1.14158i
$903$	29.1370	−	28.6903i	0.969620	−	0.954752i
$904$	1.58007	−	6.92274i	0.0525523	−	0.230247i
$905$	2.25741	−	9.89036i	0.0750389	−	0.328767i
$906$	24.6460	−	30.9051i	0.818808	−	1.02675i
$907$	7.33978	−	9.20379i	0.243713	−	0.305607i	−0.644897	−	0.764269i	$-0.723100\pi$
$907$	7.33978	−	9.20379i	0.243713	−	0.305607i	0.888611	+	0.458662i	$0.151671\pi$
$908$	3.48187	−	15.2551i	0.115550	−	0.506257i
$909$	−3.36350	+	14.7365i	−0.111560	+	0.488777i
$910$	16.0432	+	10.2543i	0.531827	+	0.339928i
$911$	−1.08337	−	4.74657i	−0.0358937	−	0.157261i	0.953805	−	0.300426i	$-0.0971290\pi$
$911$	−1.08337	−	4.74657i	−0.0358937	−	0.157261i	−0.989699	+	0.143166i	$0.954272\pi$
$912$	−7.56959			−0.250654
$913$	5.02462			0.166291
$914$	1.24521	+	5.45564i	0.0411880	+	0.180456i
$915$	−48.5172	−	23.3647i	−1.60393	−	0.772412i
$916$	−13.9257	+	17.4623i	−0.460118	+	0.576970i
$917$	31.9625	−	10.9077i	1.05550	−	0.360205i
$918$	0.462335	+	0.579750i	0.0152593	+	0.0191346i
$919$	6.18632	+	27.1040i	0.204068	+	0.894079i	0.968429	+	0.249291i	$0.0801975\pi$
$919$	6.18632	+	27.1040i	0.204068	+	0.894079i	−0.764361	+	0.644789i	$0.776945\pi$
$920$	5.08277	+	6.37359i	0.167574	+	0.210131i
$921$	31.7227	+	15.2768i	1.04530	+	0.503388i
$922$	−8.24117	+	10.3341i	−0.271409	+	0.340336i
$923$	−8.75439	+	4.21589i	−0.288154	+	0.138768i
$924$	−2.62220	−	25.0077i	−0.0862639	−	0.822694i
$925$	14.2243	+	6.85005i	0.467691	+	0.225228i
$926$	−7.18534	+	3.46028i	−0.236125	+	0.113712i
$927$	1.50897	−	6.61122i	0.0495610	−	0.217141i
$928$	−6.51088	+	3.13548i	−0.213730	+	0.102927i
$929$	31.9501	+	40.0641i	1.04825	+	1.31446i	0.947572	+	0.319542i	$0.103529\pi$
$929$	31.9501	+	40.0641i	1.04825	+	1.31446i	0.100676	+	0.994919i	$0.467900\pi$
$930$	−37.5057			−1.22986
$931$	−0.341077	+	22.0715i	−0.0111783	+	0.723363i
$932$	−27.1314			−0.888717
$933$	−29.1854	−	36.5973i	−0.955486	−	1.19814i
$934$	0.538961	−	0.259550i	0.0176354	−	0.00849274i
$935$	4.52802	−	19.8385i	0.148082	−	0.648790i
$936$	−4.52327	+	2.17829i	−0.147848	+	0.0711997i
$937$	36.9988	+	17.8177i	1.20870	+	0.582079i	0.926143	−	0.377172i	$-0.123104\pi$
$937$	36.9988	+	17.8177i	1.20870	+	0.582079i	0.282556	+	0.959251i	$0.408818\pi$
$938$	2.53381	+	0.305334i	0.0827318	+	0.00996952i
$939$	13.0852	−	6.30148i	0.427018	−	0.205641i
$940$	16.1833	−	20.2933i	0.527842	−	0.661893i
$941$	−28.5055	−	13.7275i	−0.929254	−	0.447505i	−0.0928881	−	0.995677i	$-0.529610\pi$
$941$	−28.5055	−	13.7275i	−0.929254	−	0.447505i	−0.836366	+	0.548171i	$0.815324\pi$
$942$	−2.21461	−	2.77704i	−0.0721560	−	0.0904808i
$943$	−4.06962	−	17.8302i	−0.132525	−	0.580630i
$944$	−8.42262	−	10.5616i	−0.274133	−	0.343752i
$945$	−5.04185	−	3.22261i	−0.164012	−	0.104831i
$946$	−15.8941	+	19.9306i	−0.516761	+	0.647998i
$947$	10.9879	+	5.29152i	0.357060	+	0.171951i	0.603810	−	0.797128i	$-0.293648\pi$
$947$	10.9879	+	5.29152i	0.357060	+	0.171951i	−0.246750	+	0.969079i	$0.579363\pi$
$948$	6.44649	+	28.2439i	0.209372	+	0.917319i
$949$	7.43045			0.241203
$950$	33.6648			1.09223
$951$	7.15196	+	31.3348i	0.231918	+	1.01610i
$952$	−3.40982	−	0.410898i	−0.110513	−	0.0133173i
$953$	−5.33383	+	23.3690i	−0.172780	+	0.756997i	0.812066	+	0.583565i	$0.198343\pi$
$953$	−5.33383	+	23.3690i	−0.172780	+	0.756997i	−0.984846	+	0.173432i	$0.944514\pi$
$954$	6.27341	−	27.4856i	0.203109	−	0.889879i
$955$	18.5809	−	23.2998i	0.601265	−	0.753963i
$956$	−0.588026	+	0.737362i	−0.0190181	+	0.0238480i
$957$	15.2827	−	66.9580i	0.494020	−	2.16444i
$958$	3.68116	−	16.1282i	0.118933	−	0.521079i
$959$	−18.4860	+	6.30865i	−0.596944	+	0.203717i
$960$	2.11481	+	9.26557i	0.0682551	+	0.299045i
$961$	−15.4262			−0.497619
$962$	−2.68808			−0.0866673
$963$	−4.54641	−	19.9191i	−0.146506	−	0.641885i
$964$	−8.88039	−	4.27657i	−0.286018	−	0.137739i
$965$	31.3182	−	39.2717i	1.00817	−	1.26420i
$966$	1.36368	+	13.0053i	0.0438757	+	0.418440i
$967$	−26.2485	−	32.9145i	−0.844094	−	1.05846i	−0.997526	−	0.0703009i	$-0.977604\pi$
$967$	−26.2485	−	32.9145i	−0.844094	−	1.05846i	0.153432	−	0.988159i	$-0.450967\pi$
$968$	1.04042	+	4.55836i	0.0334402	+	0.146511i
$969$	−6.12654	−	7.68244i	−0.196813	−	0.246796i
$970$	51.8180	+	24.9542i	1.66378	+	0.801232i
$971$	0.981431	−	1.23068i	0.0314956	−	0.0394943i	−0.765834	−	0.643038i	$-0.777674\pi$
$971$	0.981431	−	1.23068i	0.0314956	−	0.0394943i	0.797330	+	0.603544i	$0.206245\pi$
$972$	19.3419	−	9.31456i	0.620391	−	0.298765i
$973$	−4.87071	+	13.5821i	−0.156148	+	0.435424i
$974$	−20.3564	−	9.80314i	−0.652262	−	0.314113i
$975$	41.9666	−	20.2100i	1.34401	−	0.647239i
$976$	1.26083	−	5.52407i	0.0403583	−	0.176821i
$977$	−24.5869	+	11.8404i	−0.786604	+	0.378808i	−0.783662	−	0.621187i	$-0.786651\pi$
$977$	−24.5869	+	11.8404i	−0.786604	+	0.378808i	−0.00294155	+	0.999996i	$0.500936\pi$
$978$	14.5642	+	18.2630i	0.465713	+	0.583985i
$979$	51.1689			1.63537
$980$	27.1119	−	5.74887i	0.866057	−	0.183641i
$981$	−0.488098			−0.0155838
$982$	−17.9923	−	22.5617i	−0.574159	−	0.719972i
$983$	−51.2520	+	24.6817i	−1.63469	+	0.787223i	−0.634792	+	0.772683i	$0.718914\pi$
$983$	−51.2520	+	24.6817i	−1.63469	+	0.787223i	−0.999894	+	0.0145399i	$0.995372\pi$
$984$	4.74441	−	20.7866i	0.151246	−	0.662654i
$985$	−21.2027	+	10.2107i	−0.675573	+	0.325339i
$986$	−8.45188	−	4.07021i	−0.269163	−	0.129622i
$987$	39.4041	−	13.4473i	1.25425	−	0.428032i
$988$	−5.16427	+	2.48698i	−0.164297	+	0.0791215i
$989$	8.26576	−	10.3649i	0.262836	−	0.329586i
$990$	−39.0087	−	18.7856i	−1.23978	−	0.597046i
$991$	1.30215	+	1.63285i	0.0413642	+	0.0518691i	0.802083	−	0.597212i	$-0.203725\pi$
$991$	1.30215	+	1.63285i	0.0413642	+	0.0518691i	−0.760719	+	0.649081i	$0.775154\pi$
$992$	−0.878149	−	3.84742i	−0.0278813	−	0.122156i
$993$	39.8264	+	49.9407i	1.26385	+	1.58482i
$994$	−4.77423	+	13.3131i	−0.151429	+	0.422267i
$995$	41.4453	−	51.9707i	1.31390	−	1.64758i
$996$	−2.74466	−	1.32176i	−0.0869680	−	0.0418816i
$997$	−9.42721	−	41.3033i	−0.298563	−	1.30809i	−0.872268	−	0.489028i	$-0.837352\pi$
$997$	−9.42721	−	41.3033i	−0.298563	−	1.30809i	0.573705	−	0.819062i	$-0.305505\pi$
$998$	−11.9818			−0.379276
$999$	0.844778			0.0267276

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	98.2.e.b.57.1	yes	18
3.2	odd	2		882.2.u.g.253.1		18
4.3	odd	2		784.2.u.d.449.3		18
7.2	even	3		686.2.g.h.557.3		36
7.3	odd	6		686.2.g.g.79.1		36
7.4	even	3		686.2.g.h.79.3		36
7.5	odd	6		686.2.g.g.557.1		36
7.6	odd	2		686.2.e.b.393.3		18
49.6	odd	14		686.2.e.b.295.3		18
49.10	odd	42		686.2.g.g.569.1		36
49.16	even	21		686.2.g.h.165.3		36
49.22	even	7		4802.2.a.d.1.8		9
49.27	odd	14		4802.2.a.c.1.2		9
49.33	odd	42		686.2.g.g.165.1		36
49.39	even	21		686.2.g.h.569.3		36
49.43	even	7	inner	98.2.e.b.43.1	✓	18
147.92	odd	14		882.2.u.g.631.1		18
196.43	odd	14		784.2.u.d.337.3		18

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
98.2.e.b.43.1	✓	18	49.43	even	7	inner
98.2.e.b.57.1	yes	18	1.1	even	1	trivial
686.2.e.b.295.3		18	49.6	odd	14
686.2.e.b.393.3		18	7.6	odd	2
686.2.g.g.79.1		36	7.3	odd	6
686.2.g.g.165.1		36	49.33	odd	42
686.2.g.g.557.1		36	7.5	odd	6
686.2.g.g.569.1		36	49.10	odd	42
686.2.g.h.79.3		36	7.4	even	3
686.2.g.h.165.3		36	49.16	even	21
686.2.g.h.557.3		36	7.2	even	3
686.2.g.h.569.3		36	49.39	even	21
784.2.u.d.337.3		18	196.43	odd	14
784.2.u.d.449.3		18	4.3	odd	2
882.2.u.g.253.1		18	3.2	odd	2
882.2.u.g.631.1		18	147.92	odd	14
4802.2.a.c.1.2		9	49.27	odd	14
4802.2.a.d.1.8		9	49.22	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)

\(f(q)\)	\(=\)	\(q+(-0.623490 - 0.781831i) q^{2} +(-2.16271 + 1.04150i) q^{3} +(-0.222521 + 0.974928i) q^{4} +(3.56715 - 1.71785i) q^{5} +(2.16271 + 1.04150i) q^{6} +(1.88523 - 1.85632i) q^{7} +(0.900969 - 0.433884i) q^{8} +(1.72210 - 2.15944i) q^{9} +O(q^{10})\)	\(q+(-0.623490 - 0.781831i) q^{2} +(-2.16271 + 1.04150i) q^{3} +(-0.222521 + 0.974928i) q^{4} +(3.56715 - 1.71785i) q^{5} +(2.16271 + 1.04150i) q^{6} +(1.88523 - 1.85632i) q^{7} +(0.900969 - 0.433884i) q^{8} +(1.72210 - 2.15944i) q^{9} +(-3.56715 - 1.71785i) q^{10} +(2.46855 + 3.09546i) q^{11} +(-0.534144 - 2.34024i) q^{12} +(-1.13330 - 1.42111i) q^{13} +(-2.62675 - 0.316534i) q^{14} +(-5.92555 + 7.43041i) q^{15} +(-0.900969 - 0.433884i) q^{16} +(-0.288858 - 1.26557i) q^{17} -2.76203 q^{18} -3.15344 q^{19} +(0.881014 + 3.85997i) q^{20} +(-2.14383 + 5.97814i) q^{21} +(0.881014 - 3.85997i) q^{22} +(-0.458174 + 2.00739i) q^{23} +(-1.49664 + 1.87673i) q^{24} +(6.65612 - 8.34651i) q^{25} +(-0.404469 + 1.77209i) q^{26} +(0.127111 - 0.556912i) q^{27} +(1.39027 + 2.25103i) q^{28} +(1.60806 + 7.04535i) q^{29} +9.50385 q^{30} -3.94637 q^{31} +(0.222521 + 0.974928i) q^{32} +(-8.56267 - 4.12357i) q^{33} +(-0.809362 + 1.01491i) q^{34} +(3.53601 - 9.86031i) q^{35} +(1.72210 + 2.15944i) q^{36} +(0.329078 + 1.44179i) q^{37} +(1.96614 + 2.46546i) q^{38} +(3.93108 + 1.89311i) q^{39} +(2.46855 - 3.09546i) q^{40} +(-8.00265 + 3.85387i) q^{41} +(6.01056 - 2.05120i) q^{42} +(-5.80102 - 2.79362i) q^{43} +(-3.56715 + 1.71785i) q^{44} +(2.43338 - 10.6614i) q^{45} +(1.85511 - 0.893372i) q^{46} +(-4.08748 - 5.12554i) q^{47} +2.40042 q^{48} +(0.108160 - 6.99916i) q^{49} -10.6756 q^{50} +(1.94281 + 2.43621i) q^{51} +(1.63766 - 0.788656i) q^{52} +(-2.27130 + 9.95124i) q^{53} +(-0.514664 + 0.247849i) q^{54} +(14.1232 + 6.80138i) q^{55} +(0.893104 - 2.49045i) q^{56} +(6.81997 - 3.28432i) q^{57} +(4.50567 - 5.64993i) q^{58} +(12.1710 + 5.86126i) q^{59} +(-5.92555 - 7.43041i) q^{60} +(1.26083 + 5.52407i) q^{61} +(2.46052 + 3.08539i) q^{62} +(-0.762068 - 7.26779i) q^{63} +(0.623490 - 0.781831i) q^{64} +(-6.48390 - 3.12248i) q^{65} +(2.11481 + 9.26557i) q^{66} -0.964618 q^{67} +1.29812 q^{68} +(-1.09981 - 4.81858i) q^{69} +(-9.91377 + 3.38324i) q^{70} +(1.18952 - 5.21164i) q^{71} +(0.614609 - 2.69278i) q^{72} +(-2.54877 + 3.19605i) q^{73} +(0.922057 - 1.15622i) q^{74} +(-5.70230 + 24.9834i) q^{75} +(0.701707 - 3.07438i) q^{76} +(10.3999 + 1.25323i) q^{77} +(-0.970897 - 4.25378i) q^{78} -12.0688 q^{79} -3.95924 q^{80} +(2.14895 + 9.41516i) q^{81} +(8.00265 + 3.85387i) q^{82} +(0.791263 - 0.992213i) q^{83} +(-5.35121 - 3.42034i) q^{84} +(-3.20446 - 4.01826i) q^{85} +(1.43273 + 6.27721i) q^{86} +(-10.8155 - 13.5622i) q^{87} +(3.56715 + 1.71785i) q^{88} +(8.05794 - 10.1043i) q^{89} +(-9.85257 + 4.74475i) q^{90} +(-4.77455 - 0.575353i) q^{91} +(-1.85511 - 0.893372i) q^{92} +(8.53483 - 4.11016i) q^{93} +(-1.45881 + 6.39145i) q^{94} +(-11.2488 + 5.41714i) q^{95} +(-1.49664 - 1.87673i) q^{96} -14.5264 q^{97} +(-5.53960 + 4.27934i) q^{98} +10.9355 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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