LMFDB - Embedded newform 130.2.p.a.7.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [130,2,Mod(7,130)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(130, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([3, 11]))

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

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

chi := DirichletCharacter("130.7");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 130 = 2 \cdot 5 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	130.p (of order $12$, degree $4$, 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:	$1.03805522628$
Analytic rank:	$0$
Dimension:	$12$
Relative dimension:	$3$ over $\Q(\zeta_{12})$
Coefficient field:	$\mathbb{Q}[x]/(x^{12} + \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{12} + 24x^{10} + 192x^{8} + 680x^{6} + 1104x^{4} + 672x^{2} + 4 $ x^12 + 24x^10 + 192x^8 + 680x^6 + 1104x^4 + 672*x^2 + 4
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			7.3
Root			$-1.62980i$ of defining polynomial
Character	$\chi$	$=$	130.7
Dual form			130.2.p.a.93.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.866025 - 0.500000i) q^{2} +(0.814901 + 3.04125i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-2.22635 + 0.208246i) q^{5} +(0.814901 - 3.04125i) q^{6} +(0.402397 + 0.696972i) q^{7} -1.00000i q^{8} +(-5.98707 + 3.45663i) q^{9} +O(q^{10})$	\(q+(-0.866025 - 0.500000i) q^{2} +(0.814901 + 3.04125i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-2.22635 + 0.208246i) q^{5} +(0.814901 - 3.04125i) q^{6} +(0.402397 + 0.696972i) q^{7} -1.00000i q^{8} +(-5.98707 + 3.45663i) q^{9} +(2.03220 + 0.932829i) q^{10} +(-0.778529 - 2.90551i) q^{11} +(-2.22635 + 2.22635i) q^{12} +(0.206024 + 3.59966i) q^{13} -0.804795i q^{14} +(-2.44758 - 6.60119i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(6.99788 + 1.87508i) q^{17} +6.91327 q^{18} +(4.51652 + 1.21020i) q^{19} +(-1.29352 - 1.82395i) q^{20} +(-1.79175 + 1.79175i) q^{21} +(-0.778529 + 2.90551i) q^{22} +(0.422668 - 0.113254i) q^{23} +(3.04125 - 0.814901i) q^{24} +(4.91327 - 0.927256i) q^{25} +(1.62141 - 3.22041i) q^{26} +(-8.71230 - 8.71230i) q^{27} +(-0.402397 + 0.696972i) q^{28} +(-3.58287 - 2.06857i) q^{29} +(-1.18093 + 6.94059i) q^{30} +(-0.536500 - 0.536500i) q^{31} +(0.866025 - 0.500000i) q^{32} +(8.20196 - 4.73540i) q^{33} +(-5.12281 - 5.12281i) q^{34} +(-1.04102 - 1.46791i) q^{35} +(-5.98707 - 3.45663i) q^{36} +(-0.482187 + 0.835172i) q^{37} +(-3.30632 - 3.30632i) q^{38} +(-10.7796 + 3.55994i) q^{39} +(0.208246 + 2.22635i) q^{40} +(1.63091 - 0.437002i) q^{41} +(2.44758 - 0.655828i) q^{42} +(1.64545 - 6.14091i) q^{43} +(2.12698 - 2.12698i) q^{44} +(12.6095 - 8.94246i) q^{45} +(-0.422668 - 0.113254i) q^{46} +1.72276 q^{47} +(-3.04125 - 0.814901i) q^{48} +(3.17615 - 5.50126i) q^{49} +(-4.71864 - 1.65361i) q^{50} +22.8103i q^{51} +(-3.01438 + 1.97825i) q^{52} +(-5.01074 + 5.01074i) q^{53} +(3.18892 + 11.9012i) q^{54} +(2.33834 + 6.30655i) q^{55} +(0.696972 - 0.402397i) q^{56} +14.7221i q^{57} +(2.06857 + 3.58287i) q^{58} +(-0.0422769 + 0.157780i) q^{59} +(4.49301 - 5.42026i) q^{60} +(1.11898 + 1.93813i) q^{61} +(0.196373 + 0.732873i) q^{62} +(-4.81836 - 2.78188i) q^{63} -1.00000 q^{64} +(-1.20830 - 7.97120i) q^{65} -9.47080 q^{66} +(3.82479 + 2.20825i) q^{67} +(1.87508 + 6.99788i) q^{68} +(0.688865 + 1.19315i) q^{69} +(0.167595 + 1.79175i) q^{70} +(2.63643 - 9.83928i) q^{71} +(3.45663 + 5.98707i) q^{72} +1.73949i q^{73} +(0.835172 - 0.482187i) q^{74} +(6.82384 + 14.1869i) q^{75} +(1.21020 + 4.51652i) q^{76} +(1.71178 - 1.71178i) q^{77} +(11.1154 + 2.30679i) q^{78} -7.75722i q^{79} +(0.932829 - 2.03220i) q^{80} +(9.02673 - 15.6348i) q^{81} +(-1.63091 - 0.437002i) q^{82} -15.6444 q^{83} +(-2.44758 - 0.655828i) q^{84} +(-15.9702 - 2.71730i) q^{85} +(-4.49546 + 4.49546i) q^{86} +(3.37136 - 12.5821i) q^{87} +(-2.90551 + 0.778529i) q^{88} +(5.91063 - 1.58375i) q^{89} +(-15.3914 + 1.43966i) q^{90} +(-2.42596 + 1.59209i) q^{91} +(0.309415 + 0.309415i) q^{92} +(1.19444 - 2.06883i) q^{93} +(-1.49195 - 0.861379i) q^{94} +(-10.3074 - 1.75378i) q^{95} +(2.22635 + 2.22635i) q^{96} +(-11.6138 + 6.70520i) q^{97} +(-5.50126 + 3.17615i) q^{98} +(14.7044 + 14.7044i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 12 q + 6 q^{4} - 24 q^{9}+O(q^{10}) $ 12 * q + 6 * q^4 - 24 * q^9	$ 12 q + 6 q^{4} - 24 q^{9} + 6 q^{11} - 12 q^{13} - 6 q^{15} - 6 q^{16} + 12 q^{17} + 12 q^{18} + 36 q^{19} - 6 q^{20} - 24 q^{21} + 6 q^{22} + 6 q^{23} - 12 q^{25} + 6 q^{26} - 12 q^{27} + 6 q^{29} + 6 q^{30} - 24 q^{31} - 6 q^{33} - 12 q^{34} - 12 q^{35} - 24 q^{36} - 6 q^{38} + 6 q^{39} + 18 q^{41} + 6 q^{42} + 6 q^{44} + 12 q^{45} - 6 q^{46} + 12 q^{47} - 24 q^{50} - 6 q^{52} + 18 q^{53} - 6 q^{54} - 24 q^{55} + 6 q^{56} + 6 q^{58} + 18 q^{59} + 24 q^{60} + 18 q^{61} + 12 q^{62} + 30 q^{63} - 12 q^{64} + 30 q^{65} - 36 q^{66} + 12 q^{67} - 42 q^{69} + 24 q^{70} + 18 q^{71} + 6 q^{72} + 6 q^{74} - 12 q^{75} + 30 q^{76} + 30 q^{77} + 30 q^{78} - 6 q^{80} + 30 q^{81} - 18 q^{82} - 48 q^{83} - 6 q^{84} - 18 q^{85} + 12 q^{87} + 6 q^{89} - 12 q^{90} - 6 q^{91} - 42 q^{93} + 24 q^{94} + 30 q^{95} - 102 q^{97} - 48 q^{98} + 54 q^{99}+O(q^{100}) $ 12 * q + 6 * q^4 - 24 * q^9 + 6 * q^11 - 12 * q^13 - 6 * q^15 - 6 * q^16 + 12 * q^17 + 12 * q^18 + 36 * q^19 - 6 * q^20 - 24 * q^21 + 6 * q^22 + 6 * q^23 - 12 * q^25 + 6 * q^26 - 12 * q^27 + 6 * q^29 + 6 * q^30 - 24 * q^31 - 6 * q^33 - 12 * q^34 - 12 * q^35 - 24 * q^36 - 6 * q^38 + 6 * q^39 + 18 * q^41 + 6 * q^42 + 6 * q^44 + 12 * q^45 - 6 * q^46 + 12 * q^47 - 24 * q^50 - 6 * q^52 + 18 * q^53 - 6 * q^54 - 24 * q^55 + 6 * q^56 + 6 * q^58 + 18 * q^59 + 24 * q^60 + 18 * q^61 + 12 * q^62 + 30 * q^63 - 12 * q^64 + 30 * q^65 - 36 * q^66 + 12 * q^67 - 42 * q^69 + 24 * q^70 + 18 * q^71 + 6 * q^72 + 6 * q^74 - 12 * q^75 + 30 * q^76 + 30 * q^77 + 30 * q^78 - 6 * q^80 + 30 * q^81 - 18 * q^82 - 48 * q^83 - 6 * q^84 - 18 * q^85 + 12 * q^87 + 6 * q^89 - 12 * q^90 - 6 * q^91 - 42 * q^93 + 24 * q^94 + 30 * q^95 - 102 * q^97 - 48 * q^98 + 54 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/130\mathbb{Z}\right)^\times$.

$n$	$27$	$41$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{11}{12}\right)$

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 $

$2$	−0.866025	−	0.500000i	−0.612372	−	0.353553i
$2$	−0.866025	−	0.500000i	−0.612372	−	0.353553i
$3$	0.814901	+	3.04125i	0.470483	+	1.75587i	0.638039	+	0.770004i	$0.279746\pi$
$3$	0.814901	+	3.04125i	0.470483	+	1.75587i	−0.167556	+	0.985863i	$0.553587\pi$
$4$	0.500000	+	0.866025i	0.250000	+	0.433013i
$5$	−2.22635	+	0.208246i	−0.995654	+	0.0931304i
$5$	−2.22635	+	0.208246i	−0.995654	+	0.0931304i
$6$	0.814901	−	3.04125i	0.332682	−	1.24159i
$7$	0.402397	+	0.696972i	0.152092	+	0.263431i	0.931996	−	0.362468i	$-0.118066\pi$
$7$	0.402397	+	0.696972i	0.152092	+	0.263431i	−0.779904	+	0.625899i	$0.784732\pi$
$8$		−	1.00000i		−	0.353553i
$9$	−5.98707	+	3.45663i	−1.99569	+	1.15221i
$10$	2.03220	+	0.932829i	0.642638	+	0.294986i
$11$	−0.778529	−	2.90551i	−0.234735	−	0.876044i	−0.978268	−	0.207344i	$-0.933518\pi$
$11$	−0.778529	−	2.90551i	−0.234735	−	0.876044i	0.743533	−	0.668700i	$-0.233149\pi$
$12$	−2.22635	+	2.22635i	−0.642692	+	0.642692i
$13$	0.206024	+	3.59966i	0.0571409	+	0.998366i
$13$	0.206024	+	3.59966i	0.0571409	+	0.998366i
$14$		−	0.804795i		−	0.215090i
$15$	−2.44758	−	6.60119i	−0.631963	−	1.70442i
$16$	−0.500000	+	0.866025i	−0.125000	+	0.216506i
$17$	6.99788	+	1.87508i	1.69724	+	0.454773i	0.972241	−	0.233981i	$-0.0751754\pi$
$17$	6.99788	+	1.87508i	1.69724	+	0.454773i	0.724995	+	0.688754i	$0.241842\pi$
$18$	6.91327			1.62947
$19$	4.51652	+	1.21020i	1.03616	+	0.277638i	0.736521	−	0.676414i	$-0.236467\pi$
$19$	4.51652	+	1.21020i	1.03616	+	0.277638i	0.299639	+	0.954053i	$0.403134\pi$
$20$	−1.29352	−	1.82395i	−0.289240	−	0.407848i
$21$	−1.79175	+	1.79175i	−0.390993	+	0.390993i
$22$	−0.778529	+	2.90551i	−0.165983	+	0.619457i
$23$	0.422668	−	0.113254i	0.0881324	−	0.0236150i	−0.214483	−	0.976728i	$-0.568807\pi$
$23$	0.422668	−	0.113254i	0.0881324	−	0.0236150i	0.302616	+	0.953113i	$0.402140\pi$
$24$	3.04125	−	0.814901i	0.620793	−	0.166341i
$25$	4.91327	−	0.927256i	0.982653	−	0.185451i
$26$	1.62141	−	3.22041i	0.317984	−	0.631574i
$27$	−8.71230	−	8.71230i	−1.67668	−	1.67668i
$28$	−0.402397	+	0.696972i	−0.0760459	+	0.131715i
$29$	−3.58287	−	2.06857i	−0.665322	−	0.384124i	0.128980	−	0.991647i	$-0.458830\pi$
$29$	−3.58287	−	2.06857i	−0.665322	−	0.384124i	−0.794302	+	0.607523i	$0.792163\pi$
$30$	−1.18093	+	6.94059i	−0.215607	+	1.26717i
$31$	−0.536500	−	0.536500i	−0.0963583	−	0.0963583i	0.657284	−	0.753643i	$-0.271705\pi$
$31$	−0.536500	−	0.536500i	−0.0963583	−	0.0963583i	−0.753643	+	0.657284i	$0.771705\pi$
$32$	0.866025	−	0.500000i	0.153093	−	0.0883883i
$33$	8.20196	−	4.73540i	1.42778	−	0.824328i
$34$	−5.12281	−	5.12281i	−0.878554	−	0.878554i
$35$	−1.04102	−	1.46791i	−0.175964	−	0.248122i
$36$	−5.98707	−	3.45663i	−0.997844	−	0.576106i
$37$	−0.482187	+	0.835172i	−0.0792710	+	0.137301i	−0.902936	−	0.429776i	$-0.858593\pi$
$37$	−0.482187	+	0.835172i	−0.0792710	+	0.137301i	0.823665	+	0.567077i	$0.191926\pi$
$38$	−3.30632	−	3.30632i	−0.536356	−	0.536356i
$39$	−10.7796	+	3.55994i	−1.72611	+	0.570046i
$40$	0.208246	+	2.22635i	0.0329266	+	0.352017i
$41$	1.63091	−	0.437002i	0.254706	−	0.0682483i	−0.129207	−	0.991618i	$-0.541243\pi$
$41$	1.63091	−	0.437002i	0.254706	−	0.0682483i	0.383913	+	0.923369i	$0.374576\pi$
$42$	2.44758	−	0.655828i	0.377670	−	0.101196i
$43$	1.64545	−	6.14091i	0.250929	−	0.936480i	−0.719381	−	0.694616i	$-0.755574\pi$
$43$	1.64545	−	6.14091i	0.250929	−	0.936480i	0.970310	−	0.241864i	$-0.0777589\pi$
$44$	2.12698	−	2.12698i	0.320654	−	0.320654i
$45$	12.6095	−	8.94246i	1.87971	−	1.33306i
$46$	−0.422668	−	0.113254i	−0.0623190	−	0.0166983i
$47$	1.72276			0.251290			0.125645	−	0.992075i	$-0.459900\pi$
$47$	1.72276			0.251290			0.125645	+	0.992075i	$0.459900\pi$
$48$	−3.04125	−	0.814901i	−0.438967	−	0.117621i
$49$	3.17615	−	5.50126i	0.453736	−	0.785894i
$50$	−4.71864	−	1.65361i	−0.667317	−	0.233855i
$51$			22.8103i			3.19408i
$52$	−3.01438	+	1.97825i	−0.418020	+	0.274334i
$53$	−5.01074	+	5.01074i	−0.688278	+	0.688278i	−0.961851	−	0.273573i	$-0.911794\pi$
$53$	−5.01074	+	5.01074i	−0.688278	+	0.688278i	0.273573	+	0.961851i	$0.411794\pi$
$54$	3.18892	+	11.9012i	0.433958	+	1.61955i
$55$	2.33834	+	6.30655i	0.315301	+	0.850376i
$56$	0.696972	−	0.402397i	0.0931369	−	0.0537726i
$57$			14.7221i			1.94998i
$58$	2.06857	+	3.58287i	0.271617	+	0.470454i
$59$	−0.0422769	+	0.157780i	−0.00550398	+	0.0205411i	−0.968623	−	0.248534i	$-0.920051\pi$
$59$	−0.0422769	+	0.157780i	−0.00550398	+	0.0205411i	0.963119	+	0.269075i	$0.0867179\pi$
$60$	4.49301	−	5.42026i	0.580045	−	0.699753i
$61$	1.11898	+	1.93813i	0.143271	+	0.248153i	0.928727	−	0.370765i	$-0.120905\pi$
$61$	1.11898	+	1.93813i	0.143271	+	0.248153i	−0.785456	+	0.618918i	$0.787571\pi$
$62$	0.196373	+	0.732873i	0.0249394	+	0.0930750i
$63$	−4.81836	−	2.78188i	−0.607056	−	0.350484i
$64$	−1.00000			−0.125000
$65$	−1.20830	−	7.97120i	−0.149871	−	0.988706i
$66$	−9.47080			−1.16578
$67$	3.82479	+	2.20825i	0.467273	+	0.269780i	0.715097	−	0.699025i	$-0.246382\pi$
$67$	3.82479	+	2.20825i	0.467273	+	0.269780i	−0.247824	+	0.968805i	$0.579716\pi$
$68$	1.87508	+	6.99788i	0.227387	+	0.848618i
$69$	0.688865	+	1.19315i	0.0829296	+	0.143638i
$70$	0.167595	+	1.79175i	0.0200314	+	0.214156i
$71$	2.63643	−	9.83928i	0.312886	−	1.16771i	−0.613055	−	0.790040i	$-0.710060\pi$
$71$	2.63643	−	9.83928i	0.312886	−	1.16771i	0.925941	−	0.377668i	$-0.123274\pi$
$72$	3.45663	+	5.98707i	0.407368	+	0.705582i
$73$			1.73949i			0.203592i	0.994805	+	0.101796i	$0.0324589\pi$
$73$			1.73949i			0.203592i	−0.994805	+	0.101796i	$0.967541\pi$
$74$	0.835172	−	0.482187i	0.0970867	−	0.0560530i
$75$	6.82384	+	14.1869i	0.787950	+	1.63816i
$76$	1.21020	+	4.51652i	0.138819	+	0.518080i
$77$	1.71178	−	1.71178i	0.195076	−	0.195076i
$78$	11.1154	+	2.30679i	1.25857	+	0.261193i
$79$		−	7.75722i		−	0.872756i	−0.899763	−	0.436378i	$-0.856261\pi$
$79$		−	7.75722i		−	0.872756i	0.899763	−	0.436378i	$-0.143739\pi$
$80$	0.932829	−	2.03220i	0.104293	−	0.227207i
$81$	9.02673	−	15.6348i	1.00297	−	1.73720i
$82$	−1.63091	−	0.437002i	−0.180104	−	0.0482588i
$83$	−15.6444			−1.71720			−0.858599	−	0.512649i	$-0.828664\pi$
$83$	−15.6444			−1.71720			−0.858599	+	0.512649i	$0.828664\pi$
$84$	−2.44758	−	0.655828i	−0.267053	−	0.0715567i
$85$	−15.9702	−	2.71730i	−1.73221	−	0.294732i
$86$	−4.49546	+	4.49546i	−0.484758	+	0.484758i
$87$	3.37136	−	12.5821i	0.361448	−	1.34894i
$88$	−2.90551	+	0.778529i	−0.309728	+	0.0829914i
$89$	5.91063	−	1.58375i	0.626525	−	0.167877i	0.0684328	−	0.997656i	$-0.478200\pi$
$89$	5.91063	−	1.58375i	0.626525	−	0.167877i	0.558092	+	0.829779i	$0.311533\pi$
$90$	−15.3914	+	1.43966i	−1.62239	+	0.151753i
$91$	−2.42596	+	1.59209i	−0.254310	+	0.166896i
$92$	0.309415	+	0.309415i	0.0322587	+	0.0322587i
$93$	1.19444	−	2.06883i	0.123857	−	0.214527i
$94$	−1.49195	−	0.861379i	−0.153883	−	0.0888444i
$95$	−10.3074	−	1.75378i	−1.05751	−	0.179934i
$96$	2.22635	+	2.22635i	0.227226	+	0.227226i
$97$	−11.6138	+	6.70520i	−1.17920	+	0.680810i	−0.955829	−	0.293924i	$-0.905039\pi$
$97$	−11.6138	+	6.70520i	−1.17920	+	0.680810i	−0.223369	+	0.974734i	$0.571706\pi$
$98$	−5.50126	+	3.17615i	−0.555711	+	0.320840i
$99$	14.7044	+	14.7044i	1.47785	+	1.47785i
$100$	3.25966	+	3.79139i	0.325966	+	0.379139i
$101$	9.02570	+	5.21099i	0.898091	+	0.518513i	0.876580	−	0.481256i	$-0.159819\pi$
$101$	9.02570	+	5.21099i	0.898091	+	0.518513i	0.0215104	+	0.999769i	$0.493153\pi$
$102$	11.4052	−	19.7543i	1.12928	−	1.95597i
$103$	−11.9307	−	11.9307i	−1.17557	−	1.17557i	−0.980861	−	0.194709i	$-0.937624\pi$
$103$	−11.9307	−	11.9307i	−1.17557	−	1.17557i	−0.194709	−	0.980861i	$-0.562376\pi$
$104$	3.59966	−	0.206024i	0.352976	−	0.0202024i
$105$	3.61595	−	4.36220i	0.352880	−	0.425707i
$106$	6.84480	−	1.83406i	0.664826	−	0.178140i
$107$	−10.8955	+	2.91943i	−1.05330	+	0.282232i	−0.743616	−	0.668607i	$-0.766891\pi$
$107$	−10.8955	+	2.91943i	−1.05330	+	0.282232i	−0.309687	+	0.950839i	$0.600224\pi$
$108$	3.18892	−	11.9012i	0.306854	−	1.14520i
$109$	−5.74393	+	5.74393i	−0.550169	+	0.550169i	−0.926489	−	0.376321i	$-0.877189\pi$
$109$	−5.74393	+	5.74393i	−0.550169	+	0.550169i	0.376321	+	0.926489i	$0.377189\pi$
$110$	1.12822	−	6.63080i	0.107571	−	0.632222i
$111$	−2.93290	−	0.785868i	−0.278379	−	0.0745913i
$112$	−0.804795			−0.0760459
$113$	16.7044	+	4.47593i	1.57142	+	0.421060i	0.936255	−	0.351320i	$-0.114267\pi$
$113$	16.7044	+	4.47593i	1.57142	+	0.421060i	0.635161	+	0.772380i	$0.280934\pi$
$114$	7.36103	−	12.7497i	0.689424	−	1.19412i
$115$	−0.917423	+	0.340161i	−0.0855501	+	0.0317202i
$116$		−	4.13714i		−	0.384124i
$117$	−13.6762	−	20.8392i	−1.26436	−	1.92659i
$118$	0.115503	−	0.115503i	0.0106329	−	0.0106329i
$119$	1.50905	+	5.63186i	0.138335	+	0.516272i
$120$	−6.60119	+	2.44758i	−0.602603	+	0.223433i
$121$	1.69040	−	0.975956i	0.153673	−	0.0887232i
$122$		−	2.23796i		−	0.202616i
$123$	2.65807	+	4.60390i	0.239670	+	0.415120i
$124$	0.196373	−	0.732873i	0.0176348	−	0.0658140i
$125$	−10.7456	+	3.08756i	−0.961112	+	0.276160i
$126$	2.78188	+	4.81836i	0.247830	+	0.429253i
$127$	−1.06463	−	3.97326i	−0.0944707	−	0.352570i	0.902468	−	0.430757i	$-0.141753\pi$
$127$	−1.06463	−	3.97326i	−0.0944707	−	0.352570i	−0.996939	+	0.0781875i	$0.975087\pi$
$128$	0.866025	+	0.500000i	0.0765466	+	0.0441942i
$129$	20.0169			1.76239
$130$	−2.93918	+	7.50741i	−0.257783	+	0.658443i
$131$	−5.90842			−0.516221			−0.258110	−	0.966115i	$-0.583100\pi$
$131$	−5.90842			−0.516221			−0.258110	+	0.966115i	$0.583100\pi$
$132$	8.20196	+	4.73540i	0.713889	+	0.412164i
$133$	0.973961	+	3.63487i	0.0844531	+	0.315183i
$134$	−2.20825	−	3.82479i	−0.190763	−	0.330412i
$135$	21.2109	+	17.5823i	1.82555	+	1.51325i
$136$	1.87508	−	6.99788i	0.160787	−	0.600064i
$137$	4.03755	+	6.99324i	0.344951	+	0.597473i	0.985345	−	0.170574i	$-0.0545621\pi$
$137$	4.03755	+	6.99324i	0.344951	+	0.597473i	−0.640394	+	0.768047i	$0.721229\pi$
$138$		−	1.37773i		−	0.117280i
$139$	13.2173	−	7.63102i	1.12108	−	0.647254i	0.179402	−	0.983776i	$-0.442584\pi$
$139$	13.2173	−	7.63102i	1.12108	−	0.647254i	0.941676	+	0.336521i	$0.109250\pi$
$140$	0.750735	−	1.63550i	0.0634487	−	0.138225i
$141$	1.40388	+	5.23934i	0.118228	+	0.441232i
$142$	−7.20285	+	7.20285i	−0.604450	+	0.604450i
$143$	10.2984	−	3.40104i	0.861200	−	0.284410i
$144$		−	6.91327i		−	0.576106i
$145$	8.40749	+	3.85924i	0.698204	+	0.320493i
$146$	0.869744	−	1.50644i	0.0719806	−	0.124674i
$147$	19.3190	+	5.17650i	1.59340	+	0.426950i
$148$	−0.964373			−0.0792710
$149$	−10.7129	−	2.87051i	−0.877634	−	0.235161i	−0.208248	−	0.978076i	$-0.566776\pi$
$149$	−10.7129	−	2.87051i	−0.877634	−	0.235161i	−0.669386	+	0.742915i	$0.733443\pi$
$150$	1.18381	−	15.6981i	0.0966573	−	1.28174i
$151$	11.2046	−	11.2046i	0.911815	−	0.911815i	−0.0845999	−	0.996415i	$-0.526961\pi$
$151$	11.2046	−	11.2046i	0.911815	−	0.911815i	0.996415	+	0.0845999i	$0.0269612\pi$
$152$	1.21020	−	4.51652i	0.0981600	−	0.366338i
$153$	−48.3782	+	12.9629i	−3.91115	+	1.04799i
$154$	−2.33834	+	0.626556i	−0.188429	+	0.0504893i
$155$	1.30616	+	1.08271i	0.104913	+	0.0869656i
$156$	−8.47279	−	7.55542i	−0.678366	−	0.604918i
$157$	2.13077	+	2.13077i	0.170054	+	0.170054i	0.787003	−	0.616949i	$-0.211632\pi$
$157$	2.13077	+	2.13077i	0.170054	+	0.170054i	−0.616949	+	0.787003i	$0.711632\pi$
$158$	−3.87861	+	6.71795i	−0.308566	+	0.534452i
$159$	−19.3222	−	11.1557i	−1.53235	−	0.884702i
$160$	−1.82395	+	1.29352i	−0.144196	+	0.102262i
$161$	0.249015	+	0.249015i	0.0196251	+	0.0196251i
$162$	−15.6348	+	9.02673i	−1.22838	+	0.709207i
$163$	5.73782	−	3.31273i	0.449421	−	0.259473i	−0.258165	−	0.966101i	$-0.583118\pi$
$163$	5.73782	−	3.31273i	0.449421	−	0.259473i	0.707586	+	0.706628i	$0.249784\pi$
$164$	1.19391	+	1.19391i	0.0932289	+	0.0932289i
$165$	−17.2743	+	12.2507i	−1.34480	+	0.953715i
$166$	13.5485	+	7.82220i	1.05156	+	0.607121i
$167$	4.27162	−	7.39866i	0.330548	−	0.572526i	−0.652071	−	0.758158i	$-0.726100\pi$
$167$	4.27162	−	7.39866i	0.330548	−	0.572526i	0.982619	+	0.185632i	$0.0594331\pi$
$168$	1.79175	+	1.79175i	0.138237	+	0.138237i
$169$	−12.9151	+	1.48324i	−0.993470	+	0.114095i
$170$	12.4720	+	10.3384i	0.956556	+	0.792916i
$171$	−31.2239	+	8.36642i	−2.38775	+	0.639796i
$172$	6.14091	−	1.64545i	0.468240	−	0.125465i
$173$	0.930169	−	3.47144i	0.0707195	−	0.263929i	−0.921509	−	0.388357i	$-0.873043\pi$
$173$	0.930169	−	3.47144i	0.0707195	−	0.263929i	0.992229	+	0.124428i	$0.0397096\pi$
$174$	−9.21072	+	9.21072i	−0.698263	+	0.698263i
$175$	2.62336	+	3.05129i	0.198307	+	0.230656i
$176$	2.90551	+	0.778529i	0.219011	+	0.0586838i
$177$	−0.514299			−0.0386570
$178$	−5.91063	−	1.58375i	−0.443020	−	0.118707i
$179$	−3.40272	+	5.89368i	−0.254331	+	0.440514i	−0.964714	−	0.263302i	$-0.915189\pi$
$179$	−3.40272	+	5.89368i	−0.254331	+	0.440514i	0.710383	+	0.703816i	$0.248522\pi$
$180$	14.0491	+	6.44889i	1.04716	+	0.480672i
$181$		−	11.5815i		−	0.860846i	−0.902627	−	0.430423i	$-0.858364\pi$
$181$		−	11.5815i		−	0.860846i	0.902627	−	0.430423i	$-0.141636\pi$
$182$	2.89699	−	0.165807i	0.214739	−	0.0122905i
$183$	−4.98249	+	4.98249i	−0.368316	+	0.368316i
$184$	−0.113254	−	0.422668i	−0.00834917	−	0.0311595i
$185$	0.899595	−	1.95980i	0.0661395	−	0.144087i
$186$	−2.06883	+	1.19444i	−0.151694	+	0.0875804i
$187$		−	21.7922i		−	1.59360i
$188$	0.861379	+	1.49195i	0.0628225	+	0.108812i
$189$	2.56643	−	9.57804i	0.186680	−	0.696700i
$190$	8.04956	+	6.67250i	0.583976	+	0.484074i
$191$	2.32947	+	4.03477i	0.168555	+	0.291946i	0.937912	−	0.346873i	$-0.112757\pi$
$191$	2.32947	+	4.03477i	0.168555	+	0.291946i	−0.769357	+	0.638819i	$0.779423\pi$
$192$	−0.814901	−	3.04125i	−0.0588104	−	0.219483i
$193$	−11.5997	−	6.69708i	−0.834963	−	0.482066i	0.0205858	−	0.999788i	$-0.493447\pi$
$193$	−11.5997	−	6.69708i	−0.834963	−	0.482066i	−0.855549	+	0.517722i	$0.826780\pi$
$194$	13.4104			0.962811
$195$	23.2578	−	10.1705i	1.66552	−	0.728322i
$196$	6.35231			0.453736
$197$	19.0737	+	11.0122i	1.35894	+	0.784586i	0.989481	−	0.144661i	$-0.0462091\pi$
$197$	19.0737	+	11.0122i	1.35894	+	0.784586i	0.369461	+	0.929246i	$0.379542\pi$
$198$	−5.38218	−	20.0866i	−0.382495	−	1.42749i
$199$	5.69362	+	9.86164i	0.403610	+	0.699073i	0.994159	−	0.107929i	$-0.0344219\pi$
$199$	5.69362	+	9.86164i	0.403610	+	0.699073i	−0.590549	+	0.807002i	$0.701089\pi$
$200$	−0.927256	−	4.91327i	−0.0655669	−	0.347420i
$201$	−3.59900	+	13.4317i	−0.253854	+	0.947396i
$202$	−5.21099	−	9.02570i	−0.366644	−	0.635046i
$203$		−	3.32955i		−	0.233688i
$204$	−19.7543	+	11.4052i	−1.38308	+	0.798521i
$205$	−3.53998	+	1.31255i	−0.247243	+	0.0916725i
$206$	4.36695	+	16.2977i	0.304260	+	1.13551i
$207$	−2.13907	+	2.13907i	−0.148675	+	0.148675i
$208$	−3.22041	−	1.62141i	−0.223295	−	0.112424i
$209$		−	14.0650i		−	0.972894i
$210$	−5.31260	+	1.96980i	−0.366604	+	0.135929i
$211$	1.35943	−	2.35460i	0.0935868	−	0.162097i	−0.815431	−	0.578854i	$-0.803500\pi$
$211$	1.35943	−	2.35460i	0.0935868	−	0.162097i	0.909018	+	0.416757i	$0.136833\pi$
$212$	−6.84480	−	1.83406i	−0.470103	−	0.125964i
$213$	32.0721			2.19755
$214$	10.8955	+	2.91943i	0.744798	+	0.199568i
$215$	−2.38453	+	14.0145i	−0.162624	+	0.955779i
$216$	−8.71230	+	8.71230i	−0.592797	+	0.592797i
$217$	0.158040	−	0.589812i	0.0107284	−	0.0400391i
$218$	7.84636	−	2.10242i	0.531422	−	0.142394i
$219$	−5.29022	+	1.41751i	−0.357480	+	0.0957865i
$220$	−4.29247	+	5.17834i	−0.289398	+	0.349123i
$221$	−5.30791	+	25.5763i	−0.357048	+	1.72045i
$222$	2.14703	+	2.14703i	0.144099	+	0.144099i
$223$	13.8226	−	23.9414i	0.925630	−	1.60324i	0.135085	−	0.990834i	$-0.456869\pi$
$223$	13.8226	−	23.9414i	0.925630	−	1.60324i	0.790545	−	0.612404i	$-0.209797\pi$
$224$	0.696972	+	0.402397i	0.0465684	+	0.0268863i
$225$	−26.2109	+	22.5349i	−1.74739	+	1.50233i
$226$	−12.2285	−	12.2285i	−0.813425	−	0.813425i
$227$	2.99612	−	1.72981i	0.198859	−	0.114812i	−0.397264	−	0.917704i	$-0.630040\pi$
$227$	2.99612	−	1.72981i	0.198859	−	0.114812i	0.596123	+	0.802893i	$0.296707\pi$
$228$	−12.7497	+	7.36103i	−0.844368	+	0.487496i
$229$	8.92266	+	8.92266i	0.589626	+	0.589626i	0.937530	−	0.347904i	$-0.113107\pi$
$229$	8.92266	+	8.92266i	0.589626	+	0.589626i	−0.347904	+	0.937530i	$0.613107\pi$
$230$	0.964592	+	0.164123i	0.0636033	+	0.0108220i
$231$	6.60089	+	3.81103i	0.434307	+	0.250747i
$232$	−2.06857	+	3.58287i	−0.135808	+	0.235227i
$233$	1.21530	+	1.21530i	0.0796169	+	0.0796169i	0.745794	−	0.666177i	$-0.232070\pi$
$233$	1.21530	+	1.21530i	0.0796169	+	0.0796169i	−0.666177	+	0.745794i	$0.732070\pi$
$234$	1.42430	+	24.8854i	0.0931096	+	1.62681i
$235$	−3.83546	+	0.358757i	−0.250198	+	0.0234027i
$236$	−0.157780	+	0.0422769i	−0.0102706	+	0.00275199i
$237$	23.5917	−	6.32137i	1.53244	−	0.410617i
$238$	1.50905	−	5.63186i	0.0978173	−	0.365059i
$239$	−10.5843	+	10.5843i	−0.684643	+	0.684643i	−0.961043	−	0.276400i	$-0.910859\pi$
$239$	−10.5843	+	10.5843i	−0.684643	+	0.684643i	0.276400	+	0.961043i	$0.410859\pi$
$240$	6.94059	+	1.18093i	0.448013	+	0.0762284i
$241$	−26.2460	−	7.03259i	−1.69065	−	0.453009i	−0.720094	−	0.693877i	$-0.755901\pi$
$241$	−26.2460	−	7.03259i	−1.69065	−	0.453009i	−0.970558	+	0.240868i	$0.922568\pi$
$242$	−1.95191			−0.125474
$243$	19.2014	+	5.14501i	1.23177	+	0.330052i
$244$	−1.11898	+	1.93813i	−0.0716355	+	0.124076i
$245$	−5.92561	+	12.9091i	−0.378574	+	0.824735i
$246$		−	5.31613i		−	0.338944i
$247$	−3.42579	+	16.5073i	−0.217978	+	1.05033i
$248$	−0.536500	+	0.536500i	−0.0340678	+	0.0340678i
$249$	−12.7486	−	47.5786i	−0.807912	−	3.01517i
$250$	10.8497	+	2.69887i	0.686196	+	0.170691i
$251$	22.8576	−	13.1969i	1.44276	−	0.832979i	0.444728	−	0.895666i	$-0.353300\pi$
$251$	22.8576	−	13.1969i	1.44276	−	0.832979i	0.998033	+	0.0626870i	$0.0199670\pi$
$252$		−	5.56376i		−	0.350484i
$253$	−0.658119	−	1.13990i	−0.0413756	−	0.0716646i
$254$	−1.06463	+	3.97326i	−0.0668009	+	0.249304i
$255$	−4.75015	−	50.7838i	−0.297466	−	3.18020i
$256$	−0.500000	−	0.866025i	−0.0312500	−	0.0541266i
$257$	−0.525368	−	1.96070i	−0.0327715	−	0.122305i	0.947602	−	0.319452i	$-0.103499\pi$
$257$	−0.525368	−	1.96070i	−0.0327715	−	0.122305i	−0.980374	+	0.197147i	$0.936832\pi$
$258$	−17.3352	−	10.0085i	−1.07924	−	0.623100i
$259$	−0.776122			−0.0482259
$260$	6.29911	−	5.03202i	0.390654	−	0.312072i
$261$	28.6012			1.77037
$262$	5.11684	+	2.95421i	0.316119	+	0.182512i
$263$	7.33845	+	27.3875i	0.452508	+	1.68878i	0.695312	+	0.718708i	$0.255266\pi$
$263$	7.33845	+	27.3875i	0.452508	+	1.68878i	−0.242804	+	0.970075i	$0.578067\pi$
$264$	−4.73540	−	8.20196i	−0.291444	−	0.504796i
$265$	10.1122	−	12.1991i	0.621187	−	0.749387i
$266$	0.973961	−	3.63487i	0.0597174	−	0.222868i
$267$	9.63315	+	16.6851i	0.589539	+	1.02111i
$268$			4.41649i			0.269780i
$269$	−2.82789	+	1.63268i	−0.172420	+	0.0995465i	−0.583726	−	0.811951i	$-0.698406\pi$
$269$	−2.82789	+	1.63268i	−0.172420	+	0.0995465i	0.411307	+	0.911497i	$0.365073\pi$
$270$	−9.57804	−	25.8322i	−0.582901	−	1.57210i
$271$	1.42316	+	5.31129i	0.0864505	+	0.322638i	0.995585	−	0.0938651i	$-0.0299222\pi$
$271$	1.42316	+	5.31129i	0.0864505	+	0.322638i	−0.909134	+	0.416503i	$0.863256\pi$
$272$	−5.12281	+	5.12281i	−0.310616	+	0.310616i
$273$	−6.81885	−	6.08056i	−0.412696	−	0.368012i
$274$		−	8.07510i		−	0.487835i
$275$	−6.51927	−	13.5536i	−0.393127	−	0.817316i
$276$	−0.688865	+	1.19315i	−0.0414648	+	0.0718192i
$277$	−20.6910	−	5.54414i	−1.24320	−	0.333115i	−0.423496	−	0.905898i	$-0.639197\pi$
$277$	−20.6910	−	5.54414i	−1.24320	−	0.333115i	−0.819707	+	0.572783i	$0.805864\pi$
$278$	−15.2620			−0.915356
$279$	5.06655	+	1.35758i	0.303326	+	0.0812760i
$280$	−1.46791	+	1.04102i	−0.0877242	+	0.0622128i
$281$	−15.6657	+	15.6657i	−0.934539	+	0.934539i	−0.997985	−	0.0634460i	$-0.979791\pi$
$281$	−15.6657	+	15.6657i	−0.934539	+	0.934539i	0.0634460	+	0.997985i	$0.479791\pi$
$282$	1.40388	−	5.23934i	0.0835996	−	0.311998i
$283$	8.71344	−	2.33476i	0.517960	−	0.138787i	0.00963733	−	0.999954i	$-0.496932\pi$
$283$	8.71344	−	2.33476i	0.517960	−	0.138787i	0.508323	+	0.861167i	$0.330266\pi$
$284$	9.83928	−	2.63643i	0.583854	−	0.156443i
$285$	−3.06581	−	32.7765i	−0.181603	−	1.94151i
$286$	−10.6192	−	2.20383i	−0.627929	−	0.130315i
$287$	0.960854	+	0.960854i	0.0567174	+	0.0567174i
$288$	−3.45663	+	5.98707i	−0.203684	+	0.352791i
$289$	30.7320	+	17.7431i	1.80777	+	1.04371i
$290$	−5.35148	−	7.54595i	−0.314250	−	0.443113i
$291$	−29.8563	−	29.8563i	−1.75021	−	1.75021i
$292$	−1.50644	+	0.869744i	−0.0881578	+	0.0508979i
$293$	9.26452	−	5.34888i	0.541239	−	0.312485i	−0.204342	−	0.978900i	$-0.565505\pi$
$293$	9.26452	−	5.34888i	0.541239	−	0.312485i	0.745581	+	0.666415i	$0.232172\pi$
$294$	−14.1425	−	14.1425i	−0.824805	−	0.824805i
$295$	0.0612662	−	0.360076i	0.00356706	−	0.0209645i
$296$	0.835172	+	0.482187i	0.0485434	+	0.0280265i
$297$	−18.5309	+	32.0964i	−1.07527	+	1.86242i
$298$	7.84237	+	7.84237i	0.454297	+	0.454297i
$299$	0.494754	+	1.49813i	0.0286124	+	0.0866390i
$300$	−8.87426	+	13.0030i	−0.512355	+	0.750731i
$301$	4.94217	−	1.32425i	0.284862	−	0.0763285i
$302$	−15.3057	+	4.10116i	−0.880746	+	0.235995i
$303$	−8.49288	+	31.6958i	−0.487903	+	1.82088i
$304$	−3.30632	+	3.30632i	−0.189631	+	0.189631i
$305$	−2.89485	−	4.08194i	−0.165759	−	0.233731i
$306$	48.3782	+	12.9629i	2.76560	+	0.741040i
$307$	−12.9134			−0.737005			−0.368502	−	0.929627i	$-0.620129\pi$
$307$	−12.9134			−0.737005			−0.368502	+	0.929627i	$0.620129\pi$
$308$	2.33834	+	0.626556i	0.133239	+	0.0357013i
$309$	26.5620	−	46.0067i	1.51106	−	2.61723i
$310$	−0.589812	−	1.59074i	−0.0334991	−	0.0903479i
$311$		−	10.1340i		−	0.574646i	−0.957834	−	0.287323i	$-0.907235\pi$
$311$		−	10.1340i		−	0.574646i	0.957834	−	0.287323i	$-0.0927654\pi$
$312$	3.55994	+	10.7796i	0.201542	+	0.610273i
$313$	10.4449	−	10.4449i	0.590383	−	0.590383i	−0.347352	−	0.937735i	$-0.612919\pi$
$313$	10.4449	−	10.4449i	0.590383	−	0.590383i	0.937735	+	0.347352i	$0.112919\pi$
$314$	−0.779916	−	2.91069i	−0.0440132	−	0.164260i
$315$	11.3067	+	5.19003i	0.637058	+	0.292425i
$316$	6.71795	−	3.87861i	0.377914	−	0.218189i
$317$		−	24.4508i		−	1.37329i	−0.726992	−	0.686646i	$-0.759082\pi$
$317$		−	24.4508i		−	1.37329i	0.726992	−	0.686646i	$-0.240918\pi$
$318$	11.1557	+	19.3222i	0.625579	+	1.08353i
$319$	−3.22088	+	12.0205i	−0.180335	+	0.673019i
$320$	2.22635	−	0.208246i	0.124457	−	0.0116413i
$321$	−17.7574	−	30.7568i	−0.991123	−	1.71667i
$322$	−0.0911459	−	0.340161i	−0.00507936	−	0.0189564i
$323$	29.3369	+	16.9376i	1.63235	+	0.942436i
$324$	18.0535			1.00297
$325$	4.35006	+	17.4951i	0.241298	+	0.970451i
$326$	−6.62547			−0.366951
$327$	−22.1495	−	12.7880i	−1.22487	−	0.707178i
$328$	−0.437002	−	1.63091i	−0.0241294	−	0.0900522i
$329$	0.693233	+	1.20071i	0.0382192	+	0.0661975i
$330$	21.0853	−	1.97226i	1.16071	−	0.108569i
$331$	−0.310163	+	1.15754i	−0.0170481	+	0.0636243i	−0.973926	−	0.226866i	$-0.927152\pi$
$331$	−0.310163	+	1.15754i	−0.0170481	+	0.0636243i	0.956878	+	0.290491i	$0.0938186\pi$
$332$	−7.82220	−	13.5485i	−0.429299	−	0.743568i
$333$		−	6.66697i		−	0.365348i
$334$	−7.39866	+	4.27162i	−0.404837	+	0.233733i
$335$	−8.97519	−	4.11983i	−0.490367	−	0.225090i
$336$	−0.655828	−	2.44758i	−0.0357783	−	0.133527i
$337$	0.358931	−	0.358931i	0.0195522	−	0.0195522i	−0.697263	−	0.716815i	$-0.745599\pi$
$337$	0.358931	−	0.358931i	0.0195522	−	0.0195522i	0.716815	+	0.697263i	$0.245599\pi$
$338$	11.9264	+	5.17303i	0.648712	+	0.281376i
$339$			54.4496i			2.95730i
$340$	−5.63186	−	15.1893i	−0.305430	−	0.823753i
$341$	−1.14113	+	1.97649i	−0.0617954	+	0.107033i
$342$	31.2239	+	8.36642i	1.68840	+	0.452404i
$343$	10.7459			0.580222
$344$	−6.14091	−	1.64545i	−0.331096	−	0.0887168i
$345$	−1.78212	−	2.51291i	−0.0959463	−	0.135291i
$346$	−2.54127	+	2.54127i	−0.136619	+	0.136619i
$347$	−3.39505	+	12.6705i	−0.182256	+	0.680187i	0.812946	+	0.582339i	$0.197863\pi$
$347$	−3.39505	+	12.6705i	−0.182256	+	0.680187i	−0.995201	+	0.0978479i	$0.968804\pi$
$348$	12.5821	−	3.37136i	0.674470	−	0.180724i
$349$	−22.5950	+	6.05431i	−1.20948	+	0.324080i	−0.806559	−	0.591154i	$-0.798673\pi$
$349$	−22.5950	+	6.05431i	−1.20948	+	0.324080i	−0.402924	+	0.915234i	$0.632006\pi$
$350$	−0.746251	−	3.95417i	−0.0398888	−	0.211359i
$351$	29.5664	−	33.1563i	1.57814	−	1.76975i
$352$	−2.12698	−	2.12698i	−0.113368	−	0.113368i
$353$	−11.8033	+	20.4439i	−0.628227	+	1.08812i	0.359680	+	0.933076i	$0.382886\pi$
$353$	−11.8033	+	20.4439i	−0.628227	+	1.08812i	−0.987907	+	0.155045i	$0.950448\pi$
$354$	0.445396	+	0.257149i	0.0236725	+	0.0136673i
$355$	−3.82062	+	22.4547i	−0.202777	+	1.19177i
$356$	4.32688	+	4.32688i	0.229324	+	0.229324i
$357$	−15.8982	+	9.17881i	−0.841420	+	0.485794i
$358$	5.89368	−	3.40272i	0.311490	−	0.179839i
$359$	9.07981	+	9.07981i	0.479214	+	0.479214i	0.904880	−	0.425666i	$-0.139960\pi$
$359$	9.07981	+	9.07981i	0.479214	+	0.479214i	−0.425666	+	0.904880i	$0.639960\pi$
$360$	−8.94246	−	12.6095i	−0.471309	−	0.664578i
$361$	2.47989	+	1.43177i	0.130521	+	0.0753561i
$362$	−5.79075	+	10.0299i	−0.304355	+	0.527159i
$363$	4.34564	+	4.34564i	0.228087	+	0.228087i
$364$	−2.59177	−	1.30490i	−0.135846	−	0.0683953i
$365$	−0.362241	−	3.87271i	−0.0189606	−	0.202707i
$366$	6.80621	−	1.82372i	0.355766	−	0.0953273i
$367$	−32.2992	+	8.65453i	−1.68600	+	0.451763i	−0.969353	−	0.245671i	$-0.920992\pi$
$367$	−32.2992	+	8.65453i	−1.68600	+	0.451763i	−0.716649	+	0.697434i	$0.754325\pi$
$368$	−0.113254	+	0.422668i	−0.00590375	+	0.0220331i
$369$	−8.25383	+	8.25383i	−0.429677	+	0.429677i
$370$	−1.75897	+	1.24744i	−0.0914445	+	0.0648512i
$371$	−5.50866	−	1.47604i	−0.285995	−	0.0766322i
$372$	2.38888			0.123857
$373$	−23.1320	−	6.19820i	−1.19773	−	0.320931i	−0.395793	−	0.918340i	$-0.629530\pi$
$373$	−23.1320	−	6.19820i	−1.19773	−	0.320931i	−0.801937	+	0.597409i	$0.796197\pi$
$374$	−10.8961	+	18.8726i	−0.563424	+	0.975880i
$375$	−18.1466	−	30.1639i	−0.937087	−	1.55766i
$376$		−	1.72276i		−	0.0888444i
$377$	6.70799	−	13.3233i	0.345479	−	0.686184i
$378$	−7.01161	+	7.01161i	−0.360638	+	0.360638i
$379$	1.03686	+	3.86961i	0.0532599	+	0.198769i	0.987429	−	0.158061i	$-0.0505243\pi$
$379$	1.03686	+	3.86961i	0.0532599	+	0.198769i	−0.934169	+	0.356830i	$0.883858\pi$
$380$	−3.63487	−	9.80333i	−0.186465	−	0.502900i
$381$	11.2161	−	6.47562i	0.574618	−	0.331756i
$382$		−	4.65895i		−	0.238373i
$383$	−12.9957	−	22.5091i	−0.664047	−	1.15016i	−0.979543	−	0.201236i	$-0.935504\pi$
$383$	−12.9957	−	22.5091i	−0.664047	−	1.15016i	0.315495	−	0.948927i	$-0.397829\pi$
$384$	−0.814901	+	3.04125i	−0.0415852	+	0.155198i
$385$	−3.45455	+	4.16750i	−0.176060	+	0.212395i
$386$	6.69708	+	11.5997i	0.340872	+	0.590408i
$387$	11.3754	+	42.4538i	0.578247	+	2.15805i
$388$	−11.6138	−	6.70520i	−0.589599	−	0.340405i
$389$	−10.8809			−0.551682			−0.275841	−	0.961203i	$-0.588956\pi$
$389$	−10.8809			−0.551682			−0.275841	+	0.961203i	$0.588956\pi$
$390$	−25.2271	−	2.82100i	−1.27742	−	0.142847i
$391$	3.17014			0.160321
$392$	−5.50126	−	3.17615i	−0.277855	−	0.160420i
$393$	−4.81477	−	17.9690i	−0.242873	−	0.906415i
$394$	−11.0122	−	19.0737i	−0.554786	−	0.960917i
$395$	1.61541	+	17.2703i	0.0812801	+	0.868963i
$396$	−5.38218	+	20.0866i	−0.270465	+	1.00939i
$397$	13.8637	+	24.0126i	0.695799	+	1.20516i	0.969911	+	0.243461i	$0.0782829\pi$
$397$	13.8637	+	24.0126i	0.695799	+	1.20516i	−0.274112	+	0.961698i	$0.588384\pi$
$398$		−	11.3872i		−	0.570791i
$399$	−10.2609	+	5.92412i	−0.513686	+	0.296577i
$400$	−1.65361	+	4.71864i	−0.0826803	+	0.235932i
$401$	−7.44840	−	27.7978i	−0.371955	−	1.38816i	−0.857743	−	0.514079i	$-0.828134\pi$
$401$	−7.44840	−	27.7978i	−0.371955	−	1.38816i	0.485787	−	0.874077i	$-0.338533\pi$
$402$	9.83266	−	9.83266i	0.490408	−	0.490408i
$403$	1.82069	−	2.04175i	0.0906949	−	0.101707i
$404$			10.4220i			0.518513i
$405$	−16.8408	+	36.6882i	−0.836826	+	1.82305i
$406$	−1.66477	+	2.88347i	−0.0826213	+	0.143104i
$407$	2.80199	+	0.750792i	0.138890	+	0.0372154i
$408$	22.8103			1.12928
$409$	22.9783	+	6.15701i	1.13620	+	0.304444i	0.777423	−	0.628978i	$-0.216527\pi$
$409$	22.9783	+	6.15701i	1.13620	+	0.304444i	0.358779	+	0.933423i	$0.383193\pi$
$410$	3.72199	+	0.633288i	0.183816	+	0.0312759i
$411$	−17.9780	+	17.9780i	−0.886789	+	0.886789i
$412$	4.36695	−	16.2977i	0.215144	−	0.802929i
$413$	−0.126980	+	0.0340242i	−0.00624828	+	0.00167422i
$414$	2.92202	−	0.782952i	0.143609	−	0.0384800i
$415$	34.8299	−	3.25788i	1.70973	−	0.159923i
$416$	1.97825	+	3.01438i	0.0969918	+	0.147792i
$417$	33.9786	+	33.9786i	1.66394	+	1.66394i
$418$	−7.03248	+	12.1806i	−0.343970	+	0.595773i
$419$	−31.9711	−	18.4585i	−1.56189	−	0.901757i	−0.997066	−	0.0765449i	$-0.975611\pi$
$419$	−31.9711	−	18.4585i	−1.56189	−	0.901757i	−0.564823	−	0.825212i	$-0.691056\pi$
$420$	5.58575	+	0.950403i	0.272557	+	0.0463749i
$421$	10.2278	+	10.2278i	0.498473	+	0.498473i	0.910962	−	0.412489i	$-0.135341\pi$
$421$	10.2278	+	10.2278i	0.498473	+	0.498473i	−0.412489	+	0.910962i	$0.635341\pi$
$422$	−2.35460	+	1.35943i	−0.114620	+	0.0661758i
$423$	−10.3143	+	5.95494i	−0.501496	+	0.289539i
$424$	5.01074	+	5.01074i	0.243343	+	0.243343i
$425$	36.1212	+	2.72392i	1.75213	+	0.132130i
$426$	−27.7753	−	16.0361i	−1.34572	−	0.776950i
$427$	−0.900551	+	1.55980i	−0.0435807	+	0.0754840i
$428$	−7.97603	−	7.97603i	−0.385536	−	0.385536i
$429$	18.7356	+	28.5486i	0.904565	+	1.37834i
$430$	9.07230	−	10.9446i	0.437505	−	0.527797i
$431$	−13.9188	+	3.72952i	−0.670444	+	0.179645i	−0.577955	−	0.816069i	$-0.696149\pi$
$431$	−13.9188	+	3.72952i	−0.670444	+	0.179645i	−0.0924890	+	0.995714i	$0.529482\pi$
$432$	11.9012	−	3.18892i	0.572598	−	0.153427i
$433$	−2.86792	+	10.7032i	−0.137823	+	0.514364i	0.862147	+	0.506658i	$0.169119\pi$
$433$	−2.86792	+	10.7032i	−0.137823	+	0.514364i	−0.999970	+	0.00770546i	$0.997547\pi$
$434$	−0.431773	+	0.431773i	−0.0207257	+	0.0207257i
$435$	−4.88566	+	28.7142i	−0.234249	+	1.37674i
$436$	−7.84636	−	2.10242i	−0.375772	−	0.100688i
$437$	2.04605			0.0978758
$438$	5.29022	+	1.41751i	0.252777	+	0.0677313i
$439$	2.21315	−	3.83328i	0.105628	−	0.182953i	−0.808367	−	0.588679i	$-0.799648\pi$
$439$	2.21315	−	3.83328i	0.105628	−	0.182953i	0.913995	+	0.405727i	$0.132981\pi$
$440$	6.30655	−	2.33834i	0.300653	−	0.111476i
$441$			43.9152i			2.09120i
$442$	17.3849	−	19.4958i	0.826917	−	0.927320i
$443$	8.69869	−	8.69869i	0.413287	−	0.413287i	−0.469595	−	0.882882i	$-0.655600\pi$
$443$	8.69869	−	8.69869i	0.413287	−	0.413287i	0.882882	+	0.469595i	$0.155600\pi$
$444$	−0.785868	−	2.93290i	−0.0372957	−	0.139189i
$445$	−12.8293	+	4.75684i	−0.608168	+	0.225496i
$446$	−23.9414	+	13.8226i	−1.13366	+	0.654519i
$447$		−	34.9197i		−	1.65165i
$448$	−0.402397	−	0.696972i	−0.0190115	−	0.0329289i
$449$	5.78549	−	21.5917i	0.273034	−	1.01898i	−0.684114	−	0.729376i	$-0.739811\pi$
$449$	5.78549	−	21.5917i	0.273034	−	1.01898i	0.957147	−	0.289601i	$-0.0935226\pi$
$450$	33.9667	−	6.41037i	1.60121	−	0.302188i
$451$	−2.53943	−	4.39842i	−0.119577	−	0.207113i
$452$	4.47593	+	16.7044i	0.210530	+	0.785708i
$453$	43.2065	+	24.9453i	2.03002	+	1.17203i
$454$	−3.45962			−0.162368
$455$	5.06949	−	4.04974i	0.237661	−	0.189855i
$456$	14.7221			0.689424
$457$	−1.11393	−	0.643128i	−0.0521075	−	0.0300843i	0.473720	−	0.880676i	$-0.342911\pi$
$457$	−1.11393	−	0.643128i	−0.0521075	−	0.0300843i	−0.525827	+	0.850591i	$0.676244\pi$
$458$	−3.26592	−	12.1886i	−0.152606	−	0.569535i
$459$	−44.6314	−	77.3039i	−2.08322	−	3.60824i
$460$	−0.753299	−	0.624431i	−0.0351228	−	0.0291142i
$461$	−2.59056	+	9.66810i	−0.120654	+	0.450288i	−0.999648	−	0.0265460i	$-0.991549\pi$
$461$	−2.59056	+	9.66810i	−0.120654	+	0.450288i	0.878993	+	0.476834i	$0.158216\pi$
$462$	−3.81103	−	6.60089i	−0.177305	−	0.307101i
$463$		−	9.95491i		−	0.462644i	−0.972877	−	0.231322i	$-0.925695\pi$
$463$		−	9.95491i		−	0.462644i	0.972877	−	0.231322i	$-0.0743051\pi$
$464$	3.58287	−	2.06857i	0.166331	−	0.0960310i
$465$	−2.22841	+	4.85467i	−0.103340	+	0.225130i
$466$	−0.444830	−	1.66013i	−0.0206064	−	0.0769040i
$467$	3.56456	−	3.56456i	0.164948	−	0.164948i	−0.619807	−	0.784755i	$-0.712789\pi$
$467$	3.56456	−	3.56456i	0.164948	−	0.164948i	0.784755	+	0.619807i	$0.212789\pi$
$468$	11.2092	−	22.2636i	0.518147	−	1.02913i
$469$			3.55437i			0.164125i
$470$	3.50098	+	1.60704i	0.161488	+	0.0741271i
$471$	−4.74384	+	8.21658i	−0.218585	+	0.378600i
$472$	0.157780	+	0.0422769i	0.00726239	+	0.00194595i
$473$	−19.1235			−0.879300
$474$	−23.5917	−	6.32137i	−1.08360	−	0.290350i
$475$	23.3130	+	1.75805i	1.06968	+	0.0806651i
$476$	−4.12281	+	4.12281i	−0.188969	+	0.188969i
$477$	12.6793	−	47.3199i	0.580547	−	2.16663i
$478$	14.4584	−	3.87413i	0.661314	−	0.177199i
$479$	11.0757	−	2.96772i	0.506061	−	0.135599i	0.00324963	−	0.999995i	$-0.498966\pi$
$479$	11.0757	−	2.96772i	0.506061	−	0.135599i	0.502812	+	0.864396i	$0.332299\pi$
$480$	−5.42026	−	4.49301i	−0.247400	−	0.205077i
$481$	−3.10568	−	1.56364i	−0.141607	−	0.0712959i
$482$	19.2134	+	19.2134i	0.875146	+	0.875146i
$483$	−0.554395	+	0.960240i	−0.0252258	+	0.0436924i
$484$	1.69040	+	0.975956i	0.0768366	+	0.0443616i
$485$	24.4600	−	17.3466i	1.11067	−	0.787671i
$486$	−14.0564	−	14.0564i	−0.637612	−	0.637612i
$487$	−0.211843	+	0.122308i	−0.00959954	+	0.00554230i	−0.504792	−	0.863241i	$-0.668431\pi$
$487$	−0.211843	+	0.122308i	−0.00959954	+	0.00554230i	0.495193	+	0.868783i	$0.335098\pi$
$488$	1.93813	−	1.11898i	0.0877352	−	0.0506539i
$489$	14.7506	+	14.7506i	0.667046	+	0.667046i
$490$	11.5863	−	8.21684i	0.523416	−	0.371199i
$491$	−17.4955	−	10.1011i	−0.789563	−	0.455854i	0.0502457	−	0.998737i	$-0.484000\pi$
$491$	−17.4955	−	10.1011i	−0.789563	−	0.455854i	−0.839809	+	0.542882i	$0.817333\pi$
$492$	−2.65807	+	4.60390i	−0.119835	+	0.207560i
$493$	−21.1938	−	21.1938i	−0.954519	−	0.954519i
$494$	11.2205	−	12.5828i	0.504832	−	0.566128i
$495$	−35.7992	−	29.6750i	−1.60906	−	1.33379i
$496$	0.732873	−	0.196373i	0.0329070	−	0.00881740i
$497$	7.91860	−	2.12178i	0.355198	−	0.0951750i
$498$	−12.7486	+	47.5786i	−0.571280	+	2.13205i
$499$	−2.69714	+	2.69714i	−0.120740	+	0.120740i	−0.764895	−	0.644155i	$-0.777209\pi$
$499$	−2.69714	+	2.69714i	−0.120740	+	0.120740i	0.644155	+	0.764895i	$0.277209\pi$
$500$	−8.04669	−	7.76214i	−0.359859	−	0.347134i
$501$	25.9821	+	6.96189i	1.16080	+	0.311034i
$502$	−26.3937			−1.17801
$503$	−11.4333	−	3.06353i	−0.509784	−	0.136596i	−0.00524701	−	0.999986i	$-0.501670\pi$
$503$	−11.4333	−	3.06353i	−0.509784	−	0.136596i	−0.504537	+	0.863390i	$0.668337\pi$
$504$	−2.78188	+	4.81836i	−0.123915	+	0.214627i
$505$	−21.1795	−	9.72192i	−0.942477	−	0.432620i
$506$			1.31624i			0.0585139i
$507$	−15.0354	−	38.0694i	−0.667747	−	1.69072i
$508$	2.90863	−	2.90863i	0.129049	−	0.129049i
$509$	3.40407	+	12.7042i	0.150883	+	0.563102i	0.999423	+	0.0339709i	$0.0108153\pi$
$509$	3.40407	+	12.7042i	0.150883	+	0.563102i	−0.848540	+	0.529131i	$0.822518\pi$
$510$	−21.2781	+	46.3551i	−0.942211	+	2.05264i
$511$	−1.21238	+	0.699966i	−0.0536324	+	0.0309647i
$512$			1.00000i			0.0441942i
$513$	−28.8057	−	49.8929i	−1.27180	−	2.20283i
$514$	−0.525368	+	1.96070i	−0.0231730	+	0.0864827i
$515$	29.0465	+	24.0775i	1.27994	+	1.06098i
$516$	10.0085	+	17.3352i	0.440598	+	0.763138i
$517$	−1.34122	−	5.00549i	−0.0589866	−	0.220141i
$518$	0.672141	+	0.388061i	0.0295322	+	0.0170504i
$519$	11.3155			0.496696
$520$	−7.97120	+	1.20830i	−0.349560	+	0.0529873i
$521$	−2.54807			−0.111633			−0.0558165	−	0.998441i	$-0.517776\pi$
$521$	−2.54807			−0.111633			−0.0558165	+	0.998441i	$0.517776\pi$
$522$	−24.7693	−	14.3006i	−1.08412	−	0.625919i
$523$	3.51781	+	13.1286i	0.153823	+	0.574075i	0.999203	+	0.0399102i	$0.0127072\pi$
$523$	3.51781	+	13.1286i	0.153823	+	0.574075i	−0.845380	+	0.534165i	$0.820626\pi$
$524$	−2.95421	−	5.11684i	−0.129055	−	0.223530i
$525$	−7.14195	+	10.4648i	−0.311700	+	0.456721i
$526$	7.33845	−	27.3875i	0.319972	−	1.19415i
$527$	−2.74839	−	4.76035i	−0.119722	−	0.207364i
$528$			9.47080i			0.412164i
$529$	−19.7528	+	11.4043i	−0.858816	+	0.495838i
$530$	−14.8570	+	5.50866i	−0.645346	+	0.239281i
$531$	−0.292272	−	1.09077i	−0.0126835	−	0.0473355i
$532$	−2.66091	+	2.66091i	−0.115365	+	0.115365i
$533$	1.90907	+	5.78070i	0.0826909	+	0.250390i
$534$		−	19.2663i		−	0.833734i
$535$	23.6491	−	8.76860i	1.02244	−	0.379100i
$536$	2.20825	−	3.82479i	0.0953817	−	0.165206i
$537$	−20.6970	−	5.54575i	−0.893142	−	0.239317i
$538$	3.26537			0.140780
$539$	−18.4567	−	4.94545i	−0.794986	−	0.213016i
$540$	−4.62128	+	27.1604i	−0.198868	+	1.16880i
$541$	9.16253	−	9.16253i	0.393928	−	0.393928i	−0.482157	−	0.876085i	$-0.660147\pi$
$541$	9.16253	−	9.16253i	0.393928	−	0.393928i	0.876085	+	0.482157i	$0.160147\pi$
$542$	1.42316	−	5.31129i	0.0611298	−	0.228139i
$543$	35.2222	−	9.43777i	1.51153	−	0.405014i
$544$	6.99788	−	1.87508i	0.300032	−	0.0803933i
$545$	11.5919	−	13.9842i	0.496540	−	0.599015i
$546$	2.86502	+	8.67535i	0.122611	+	0.371271i
$547$	−22.6416	−	22.6416i	−0.968085	−	0.968085i	0.0314209	−	0.999506i	$-0.489997\pi$
$547$	−22.6416	−	22.6416i	−0.968085	−	0.968085i	−0.999506	+	0.0314209i	$0.989997\pi$
$548$	−4.03755	+	6.99324i	−0.172476	+	0.298737i
$549$	−13.3988	−	7.73582i	−0.571849	−	0.330157i
$550$	−1.13097	+	14.9974i	−0.0482247	+	0.639493i
$551$	−13.6787	−	13.6787i	−0.582733	−	0.582733i
$552$	1.19315	−	0.688865i	0.0507838	−	0.0293200i
$553$	5.40657	−	3.12149i	0.229911	−	0.132739i
$554$	15.1469	+	15.1469i	0.643529	+	0.643529i
$555$	6.69332	+	1.13885i	0.284115	+	0.0483416i
$556$	13.2173	+	7.63102i	0.560539	+	0.323627i
$557$	15.0411	−	26.0519i	0.637311	−	1.10386i	−0.348709	−	0.937231i	$-0.613380\pi$
$557$	15.0411	−	26.0519i	0.637311	−	1.10386i	0.986020	−	0.166624i	$-0.0532867\pi$
$558$	−3.70897	−	3.70897i	−0.157013	−	0.157013i
$559$	22.4442	+	4.65789i	0.949288	+	0.197008i
$560$	1.79175	−	0.167595i	0.0757154	−	0.00708219i
$561$	66.2756	−	17.7585i	2.79816	−	0.749764i
$562$	21.3998	−	5.73406i	0.902696	−	0.241877i
$563$	6.32898	−	23.6201i	0.266735	−	0.995468i	−0.694445	−	0.719546i	$-0.744350\pi$
$563$	6.32898	−	23.6201i	0.266735	−	0.995468i	0.961180	−	0.275922i	$-0.0889832\pi$
$564$	−3.83546	+	3.83546i	−0.161502	+	0.161502i
$565$	−38.1219	−	6.48636i	−1.60380	−	0.272883i
$566$	−8.71344	−	2.33476i	−0.366253	−	0.0981373i
$567$	14.5293			0.610174
$568$	−9.83928	−	2.63643i	−0.412847	−	0.110622i
$569$	−10.6818	+	18.5014i	−0.447805	+	0.775621i	−0.998243	−	0.0592553i	$-0.981127\pi$
$569$	−10.6818	+	18.5014i	−0.447805	+	0.775621i	0.550438	+	0.834876i	$0.314461\pi$
$570$	−13.7332	+	29.9181i	−0.575219	+	1.25313i
$571$			21.6572i			0.906327i	0.891427	+	0.453163i	$0.149705\pi$
$571$			21.6572i			0.906327i	−0.891427	+	0.453163i	$0.850295\pi$
$572$	8.09462	+	7.21820i	0.338453	+	0.301808i
$573$	−10.3724	+	10.3724i	−0.433315	+	0.433315i
$574$	−0.351697	−	1.31255i	−0.0146795	−	0.0547848i
$575$	1.97167	−	0.948367i	0.0822242	−	0.0395496i
$576$	5.98707	−	3.45663i	0.249461	−	0.144026i
$577$			10.9211i			0.454650i	0.973819	+	0.227325i	$0.0729980\pi$
$577$			10.9211i			0.454650i	−0.973819	+	0.227325i	$0.927002\pi$
$578$	−17.7431	−	30.7320i	−0.738018	−	1.27828i
$579$	10.9149	−	40.7350i	0.453608	−	1.69289i
$580$	0.861542	+	9.21072i	0.0357736	+	0.382454i
$581$	−6.29527	−	10.9037i	−0.261172	−	0.452363i
$582$	10.9282	+	40.7844i	0.452986	+	1.69057i
$583$	18.4598	+	10.6577i	0.764525	+	0.441399i
$584$	1.73949			0.0719806
$585$	34.7877	+	43.5474i	1.43829	+	1.80047i
$586$	−10.6978			−0.441920
$587$	24.4409	+	14.1110i	1.00879	+	0.582423i	0.910836	−	0.412769i	$-0.135438\pi$
$587$	24.4409	+	14.1110i	1.00879	+	0.582423i	0.0979498	+	0.995191i	$0.468772\pi$
$588$	5.17650	+	19.3190i	0.213475	+	0.796700i
$589$	−1.77384	−	3.07239i	−0.0730899	−	0.126595i
$590$	−0.233096	+	0.281202i	−0.00959642	+	0.0115769i
$591$	−17.9477	+	66.9816i	−0.738268	+	2.75526i
$592$	−0.482187	−	0.835172i	−0.0198177	−	0.0343253i
$593$			28.7595i			1.18101i	0.807033	+	0.590506i	$0.201072\pi$
$593$			28.7595i			1.18101i	−0.807033	+	0.590506i	$0.798928\pi$
$594$	32.0964	−	18.5309i	1.31693	−	0.760332i
$595$	−4.53249	−	12.2242i	−0.185814	−	0.501145i
$596$	−2.87051	−	10.7129i	−0.117581	−	0.438817i
$597$	−25.3520	+	25.3520i	−1.03759	+	1.03759i
$598$	0.320594	−	1.54479i	0.0131101	−	0.0631714i
$599$			7.62284i			0.311461i	0.987800	+	0.155730i	$0.0497731\pi$
$599$			7.62284i			0.311461i	−0.987800	+	0.155730i	$0.950227\pi$
$600$	14.1869	−	6.82384i	0.579176	−	0.278582i
$601$	−8.07815	+	13.9918i	−0.329515	+	0.570736i	−0.982416	−	0.186707i	$-0.940218\pi$
$601$	−8.07815	+	13.9918i	−0.329515	+	0.570736i	0.652901	+	0.757443i	$0.273552\pi$
$602$	−4.94217	−	1.32425i	−0.201428	−	0.0539724i
$603$	−30.5324			−1.24337
$604$	15.3057	+	4.10116i	0.622781	+	0.166874i
$605$	−3.56019	+	2.52484i	−0.144742	+	0.102649i
$606$	23.2030	−	23.2030i	0.942556	−	0.942556i
$607$	−8.62700	+	32.1964i	−0.350159	+	1.30681i	0.536309	+	0.844022i	$0.319818\pi$
$607$	−8.62700	+	32.1964i	−0.350159	+	1.30681i	−0.886468	+	0.462790i	$0.846849\pi$
$608$	4.51652	−	1.21020i	0.183169	−	0.0490800i
$609$	10.1260	−	2.71325i	0.410326	−	0.109946i
$610$	0.466047	+	4.98249i	0.0188697	+	0.201735i
$611$	0.354930	+	6.20134i	0.0143589	+	0.250879i
$612$	−35.4153	−	35.4153i	−1.43158	−	1.43158i
$613$	−21.0491	+	36.4581i	−0.850164	+	1.47253i	0.0308956	+	0.999523i	$0.490164\pi$
$613$	−21.0491	+	36.4581i	−0.850164	+	1.47253i	−0.881060	+	0.473005i	$0.843169\pi$
$614$	11.1833	+	6.45668i	0.451321	+	0.260570i
$615$	−6.87653	−	9.69637i	−0.277288	−	0.390995i
$616$	−1.71178	−	1.71178i	−0.0689697	−	0.0689697i
$617$	10.8908	−	6.28781i	0.438447	−	0.253138i	−0.264491	−	0.964388i	$-0.585204\pi$
$617$	10.8908	−	6.28781i	0.438447	−	0.253138i	0.702939	+	0.711250i	$0.251871\pi$
$618$	−46.0067	+	26.5620i	−1.85066	+	1.06848i
$619$	−8.75232	−	8.75232i	−0.351786	−	0.351786i	0.508988	−	0.860774i	$-0.330020\pi$
$619$	−8.75232	−	8.75232i	−0.351786	−	0.351786i	−0.860774	+	0.508988i	$0.830020\pi$
$620$	−0.284577	+	1.67253i	−0.0114289	+	0.0671703i
$621$	−4.66911	−	2.69571i	−0.187365	−	0.108175i
$622$	−5.06700	+	8.77630i	−0.203168	+	0.351898i
$623$	3.48225	+	3.48225i	0.139513	+	0.139513i
$624$	2.30679	−	11.1154i	0.0923456	−	0.444970i
$625$	23.2804	−	9.11172i	0.931216	−	0.364469i
$626$	−14.2680	+	3.82311i	−0.570266	+	0.152802i
$627$	42.7751	−	11.4615i	1.70827	−	0.457730i
$628$	−0.779916	+	2.91069i	−0.0311221	+	0.116149i
$629$	−4.94030	+	4.94030i	−0.196983	+	0.196983i
$630$	−7.19684	−	10.1480i	−0.286729	−	0.404307i
$631$	26.6071	+	7.12936i	1.05921	+	0.283815i	0.746054	−	0.665886i	$-0.231946\pi$
$631$	26.6071	+	7.12936i	1.05921	+	0.283815i	0.313159	+	0.949701i	$0.398613\pi$
$632$	−7.75722			−0.308566
$633$	8.26871	+	2.21560i	0.328652	+	0.0880620i
$634$	−12.2254	+	21.1750i	−0.485532	+	0.840966i
$635$	3.19766	+	8.62415i	0.126895	+	0.342239i
$636$		−	22.3113i		−	0.884702i
$637$	20.4570	+	10.2997i	0.810537	+	0.408088i
$638$	8.79962	−	8.79962i	0.348380	−	0.348380i
$639$	18.2263	+	68.0216i	0.721022	+	2.69089i
$640$	−2.03220	−	0.932829i	−0.0803297	−	0.0368733i
$641$	25.0061	−	14.4373i	0.987680	−	0.570237i	0.0830998	−	0.996541i	$-0.473518\pi$
$641$	25.0061	−	14.4373i	0.987680	−	0.570237i	0.904580	+	0.426304i	$0.140185\pi$
$642$			35.5148i			1.40166i
$643$	5.35650	+	9.27773i	0.211240	+	0.365878i	0.952103	−	0.305778i	$-0.0989166\pi$
$643$	5.35650	+	9.27773i	0.211240	+	0.365878i	−0.740863	+	0.671656i	$0.765583\pi$
$644$	−0.0911459	+	0.340161i	−0.00359165	+	0.0134042i
$645$	−44.5647	+	4.16844i	−1.75473	+	0.164132i
$646$	−16.9376	−	29.3369i	−0.666403	−	1.15424i
$647$	−10.2974	−	38.4306i	−0.404834	−	1.51086i	−0.804362	−	0.594140i	$-0.797492\pi$
$647$	−10.2974	−	38.4306i	−0.404834	−	1.51086i	0.399527	−	0.916721i	$-0.369174\pi$
$648$	−15.6348	−	9.02673i	−0.614191	−	0.354604i
$649$	0.491344			0.0192869
$650$	4.98026	−	17.3262i	0.195342	−	0.679589i
$651$	1.92255			0.0753508
$652$	5.73782	+	3.31273i	0.224710	+	0.129737i
$653$	−12.1534	−	45.3569i	−0.475598	−	1.77495i	−0.619108	−	0.785306i	$-0.712506\pi$
$653$	−12.1534	−	45.3569i	−0.475598	−	1.77495i	0.143511	−	0.989649i	$-0.454161\pi$
$654$	12.7880	+	22.1495i	0.500050	+	0.866113i
$655$	13.1542	−	1.23040i	0.513977	−	0.0480758i
$656$	−0.437002	+	1.63091i	−0.0170621	+	0.0636765i
$657$	−6.01278	−	10.4144i	−0.234581	−	0.406306i
$658$		−	1.38647i		−	0.0540501i
$659$	27.5684	−	15.9166i	1.07391	−	0.620024i	0.144665	−	0.989481i	$-0.453790\pi$
$659$	27.5684	−	15.9166i	1.07391	−	0.620024i	0.929248	+	0.369457i	$0.120456\pi$
$660$	−19.2466	−	8.83464i	−0.749171	−	0.343888i
$661$	−1.26555	−	4.72310i	−0.0492243	−	0.183707i	0.936936	−	0.349500i	$-0.113648\pi$
$661$	−1.26555	−	4.72310i	−0.0492243	−	0.183707i	−0.986161	+	0.165792i	$0.946982\pi$
$662$	0.847381	−	0.847381i	0.0329344	−	0.0329344i
$663$	−82.1094	+	4.69948i	−3.18886	+	0.182513i
$664$			15.6444i			0.607121i
$665$	−2.92532	−	7.88967i	−0.113439	−	0.305948i
$666$	−3.33348	+	5.77376i	−0.129170	+	0.223729i
$667$	−1.74864	−	0.468546i	−0.0677075	−	0.0181422i
$668$	8.54324			0.330548
$669$	84.0760	+	22.5281i	3.25057	+	0.870986i
$670$	5.71283	+	8.05547i	0.220706	+	0.311210i
$671$	4.76011	−	4.76011i	0.183762	−	0.183762i
$672$	−0.655828	+	2.44758i	−0.0252991	+	0.0944175i
$673$	−10.8510	+	2.90751i	−0.418275	+	0.112076i	−0.461817	−	0.886975i	$-0.652802\pi$
$673$	−10.8510	+	2.90751i	−0.418275	+	0.112076i	0.0435423	+	0.999052i	$0.486136\pi$
$674$	−0.490309	+	0.131378i	−0.0188860	+	0.00506048i
$675$	−50.8844	−	34.7273i	−1.95854	−	1.33666i
$676$	−7.74207	−	10.4432i	−0.297772	−	0.401661i
$677$	12.8047	+	12.8047i	0.492125	+	0.492125i	0.908975	−	0.416850i	$-0.136866\pi$
$677$	12.8047	+	12.8047i	0.492125	+	0.492125i	−0.416850	+	0.908975i	$0.636866\pi$
$678$	27.2248	−	47.1548i	1.04556	−	1.81097i
$679$	−9.34669	−	5.39631i	−0.358693	−	0.207091i
$680$	−2.71730	+	15.9702i	−0.104204	+	0.612430i
$681$	7.70233	+	7.70233i	0.295154	+	0.295154i
$682$	1.97649	−	1.14113i	0.0756836	−	0.0436960i
$683$	−36.0346	+	20.8046i	−1.37882	+	0.796064i	−0.992018	−	0.126097i	$-0.959755\pi$
$683$	−36.0346	+	20.8046i	−1.37882	+	0.796064i	−0.386806	+	0.922161i	$0.626422\pi$
$684$	−22.8575	−	22.8575i	−0.873978	−	0.873978i
$685$	−10.4453	−	14.7286i	−0.399095	−	0.562751i
$686$	−9.30619	−	5.37293i	−0.355312	−	0.205139i
$687$	−19.8650	+	34.4071i	−0.757895	+	1.31271i
$688$	4.49546	+	4.49546i	0.171388	+	0.171388i
$689$	−19.0693	−	17.0046i	−0.726483	−	0.647825i
$690$	0.286907	+	3.06731i	0.0109223	+	0.116770i
$691$	−17.8985	+	4.79589i	−0.680891	+	0.182444i	−0.582656	−	0.812719i	$-0.697986\pi$
$691$	−17.8985	+	4.79589i	−0.680891	+	0.182444i	−0.0982353	+	0.995163i	$0.531320\pi$
$692$	3.47144	−	0.930169i	0.131964	−	0.0353597i
$693$	−4.33155	+	16.1656i	−0.164542	+	0.614079i
$694$	9.27544	−	9.27544i	0.352091	−	0.352091i
$695$	−27.8372	+	19.7418i	−1.05593	+	0.748848i
$696$	−12.5821	−	3.37136i	−0.476923	−	0.127791i
$697$	12.2324			0.463334
$698$	22.5950	+	6.05431i	0.855233	+	0.229159i
$699$	−2.70568	+	4.68638i	−0.102338	+	0.177255i
$700$	−1.33081	+	3.79754i	−0.0503000	+	0.143533i
$701$			8.16233i			0.308287i	0.988048	+	0.154143i	$0.0492618\pi$
$701$			8.16233i			0.308287i	−0.988048	+	0.154143i	$0.950738\pi$
$702$	−42.1834	+	13.9310i	−1.59211	+	0.525791i
$703$	−3.18853	+	3.18853i	−0.120258	+	0.120258i
$704$	0.778529	+	2.90551i	0.0293419	+	0.109505i
$705$	−4.21659	−	11.3722i	−0.158806	−	0.428303i
$706$	20.4439	−	11.8033i	0.769418	−	0.444223i
$707$			8.38755i			0.315446i
$708$	−0.257149	−	0.445396i	−0.00966426	−	0.0167390i
$709$	4.24559	−	15.8447i	0.159446	−	0.595062i	−0.839237	−	0.543766i	$-0.816998\pi$
$709$	4.24559	−	15.8447i	0.159446	−	0.595062i	0.998683	−	0.0512963i	$-0.0163353\pi$
$710$	14.5361	−	17.5360i	0.545530	−	0.658116i
$711$	26.8139	+	46.4430i	1.00560	+	1.74175i
$712$	−1.58375	−	5.91063i	−0.0593535	−	0.221510i
$713$	−0.287522	−	0.166001i	−0.0107678	−	0.00621679i
$714$	18.3576			0.687017
$715$	−22.2197	+	9.71653i	−0.830970	+	0.363377i
$716$	−6.80543			−0.254331
$717$	−40.8147	−	23.5644i	−1.52425	−	0.880028i
$718$	−3.32344	−	12.4033i	−0.124030	−	0.462885i
$719$	0.974618	+	1.68809i	0.0363471	+	0.0629550i	0.883627	−	0.468192i	$-0.155094\pi$
$719$	0.974618	+	1.68809i	0.0363471	+	0.0629550i	−0.847280	+	0.531147i	$0.821761\pi$
$720$	1.43966	+	15.3914i	0.0536529	+	0.573602i
$721$	3.51450	−	13.1163i	0.130887	−	0.488476i
$722$	−1.43177	−	2.47989i	−0.0532848	−	0.0922920i
$723$		−	85.5514i		−	3.18169i
$724$	10.0299	−	5.79075i	0.372757	−	0.215212i
$725$	−19.5217	−	6.84120i	−0.725017	−	0.254076i
$726$	−1.59061	−	5.93625i	−0.0590332	−	0.220315i
$727$	−27.9848	+	27.9848i	−1.03790	+	1.03790i	−0.0386462	+	0.999253i	$0.512305\pi$
$727$	−27.9848	+	27.9848i	−1.03790	+	1.03790i	−0.999253	+	0.0386462i	$0.987695\pi$
$728$	1.59209	+	2.42596i	0.0590067	+	0.0899121i
$729$			8.42862i			0.312171i
$730$	−1.62265	+	3.53499i	−0.0600568	+	0.130836i
$731$	23.0294	−	39.8880i	0.851772	−	1.47531i
$732$	−6.80621	−	1.82372i	−0.251565	−	0.0674066i
$733$	31.6699			1.16975			0.584877	−	0.811122i	$-0.301143\pi$
$733$	31.6699			1.16975			0.584877	+	0.811122i	$0.301143\pi$
$734$	32.2992	+	8.65453i	1.19218	+	0.319445i
$735$	−44.0887	−	7.50160i	−1.62624	−	0.276701i
$736$	0.309415	−	0.309415i	0.0114052	−	0.0114052i
$737$	3.43837	−	12.8322i	0.126654	−	0.472679i
$738$	11.2749	−	3.02111i	0.415036	−	0.111209i
$739$	−12.8501	+	3.44317i	−0.472699	+	0.126659i	−0.487301	−	0.873234i	$-0.662018\pi$
$739$	−12.8501	+	3.44317i	−0.472699	+	0.126659i	0.0146022	+	0.999893i	$0.495352\pi$
$740$	2.14703	−	0.200827i	0.0789265	−	0.00738254i
$741$	−52.9944	+	3.03310i	−1.94680	+	0.111424i
$742$	4.03262	+	4.03262i	0.148042	+	0.148042i
$743$	−5.92409	+	10.2608i	−0.217334	+	0.376433i	−0.953992	−	0.299832i	$-0.903069\pi$
$743$	−5.92409	+	10.2608i	−0.217334	+	0.376433i	0.736658	+	0.676265i	$0.236403\pi$
$744$	−2.06883	−	1.19444i	−0.0758469	−	0.0437902i
$745$	24.4484	+	4.15984i	0.895720	+	0.152405i
$746$	16.9338	+	16.9338i	0.619991	+	0.619991i
$747$	93.6641	−	54.0770i	3.42699	−	1.97857i
$748$	18.8726	−	10.8961i	0.690051	−	0.398401i
$749$	−6.41906	−	6.41906i	−0.234547	−	0.234547i
$750$	0.633498	+	35.1960i	0.0231321	+	1.28518i
$751$	33.0412	+	19.0764i	1.20569	+	0.696106i	0.961815	−	0.273700i	$-0.0882476\pi$
$751$	33.0412	+	19.0764i	1.20569	+	0.696106i	0.243876	+	0.969806i	$0.421581\pi$
$752$	−0.861379	+	1.49195i	−0.0314112	+	0.0544059i
$753$	58.7617	+	58.7617i	2.14139	+	2.14139i
$754$	−12.4709	+	8.18431i	−0.454165	+	0.298055i
$755$	−22.6120	+	27.2786i	−0.822935	+	0.992770i
$756$	9.57804	−	2.56643i	0.348350	−	0.0933401i
$757$	14.4528	−	3.87261i	0.525295	−	0.140752i	0.0135805	−	0.999908i	$-0.495677\pi$
$757$	14.4528	−	3.87261i	0.525295	−	0.140752i	0.511715	+	0.859155i	$0.329010\pi$
$758$	1.03686	−	3.86961i	0.0376604	−	0.140551i
$759$	2.93040	−	2.93040i	0.106367	−	0.106367i
$760$	−1.75378	+	10.3074i	−0.0636162	+	0.373888i
$761$	25.4496	+	6.81919i	0.922546	+	0.247195i	0.688673	−	0.725072i	$-0.258193\pi$
$761$	25.4496	+	6.81919i	0.922546	+	0.247195i	0.233873	+	0.972267i	$0.424860\pi$
$762$	−12.9512			−0.469174
$763$	−6.31470	−	1.69202i	−0.228608	−	0.0612552i
$764$	−2.32947	+	4.03477i	−0.0842774	+	0.145973i
$765$	105.007	−	38.9345i	3.79655	−	1.40768i
$766$			25.9913i			0.939105i
$767$	−0.576663	−	0.119676i	−0.0208221	−	0.00432125i
$768$	2.22635	−	2.22635i	0.0803365	−	0.0803365i
$769$	−10.5098	−	39.2231i	−0.378993	−	1.41442i	−0.847422	−	0.530920i	$-0.821847\pi$
$769$	−10.5098	−	39.2231i	−0.378993	−	1.41442i	0.468429	−	0.883501i	$-0.344820\pi$
$770$	5.07548	−	1.88188i	0.182908	−	0.0678183i
$771$	5.53486	−	3.19555i	0.199333	−	0.115085i
$772$		−	13.3942i		−	0.482066i
$773$	−11.4399	−	19.8145i	−0.411464	−	0.712677i	0.583586	−	0.812052i	$-0.301649\pi$
$773$	−11.4399	−	19.8145i	−0.411464	−	0.712677i	−0.995050	+	0.0993742i	$0.968316\pi$
$774$	11.3754	−	42.4538i	0.408882	−	1.52597i
$775$	−3.13344	−	2.13850i	−0.112557	−	0.0768171i
$776$	6.70520	+	11.6138i	0.240703	+	0.416909i
$777$	−0.632462	−	2.36038i	−0.0226895	−	0.0846782i
$778$	9.42310	+	5.44043i	0.337835	+	0.195049i
$779$	7.89491			0.282865
$780$	20.4368	+	15.0566i	0.731754	+	0.539112i
$781$	−30.6407			−1.09641
$782$	−2.74542	−	1.58507i	−0.0981762	−	0.0566820i
$783$	13.1930	+	49.2370i	0.471480	+	1.75959i
$784$	3.17615	+	5.50126i	0.113434	+	0.196474i
$785$	−5.18757	−	4.30012i	−0.185152	−	0.153478i
$786$	−4.81477	+	17.9690i	−0.171737	+	0.640932i
$787$	−13.8230	−	23.9422i	−0.492738	−	0.853447i	0.507227	−	0.861812i	$-0.330671\pi$
$787$	−13.8230	−	23.9422i	−0.492738	−	0.853447i	−0.999965	+	0.00836529i	$0.997337\pi$
$788$			22.0244i			0.784586i
$789$	−77.3120	+	44.6361i	−2.75238	+	1.58909i
$790$	7.23616	−	15.7642i	0.257451	−	0.560866i
$791$	3.60220	+	13.4436i	0.128080	+	0.477999i
$792$	14.7044	−	14.7044i	0.522497	−	0.522497i
$793$	−6.74609	+	4.42726i	−0.239561	+	0.157217i
$794$		−	27.7274i		−	0.984008i
$795$	45.3410	+	20.8126i	1.60808	+	0.738149i
$796$	−5.69362	+	9.86164i	−0.201805	+	0.349537i
$797$	−13.9447	−	3.73648i	−0.493948	−	0.132353i	0.00324171	−	0.999995i	$-0.498968\pi$
$797$	−13.9447	−	3.73648i	−0.493948	−	0.132353i	−0.497190	+	0.867642i	$0.665635\pi$
$798$	11.8482			0.419423
$799$	12.0557	+	3.23030i	0.426498	+	0.114280i
$800$	3.79139	−	3.25966i	0.134046	−	0.115246i
$801$	−29.9129	+	29.9129i	−1.05692	+	1.05692i
$802$	−7.44840	+	27.7978i	−0.263012	+	0.981575i
$803$	5.05410	−	1.35424i	0.178355	−	0.0477902i
$804$	−13.4317	+	3.59900i	−0.473698	+	0.126927i
$805$	−0.606251	−	0.502539i	−0.0213675	−	0.0177122i
$806$	−2.59764	+	0.857865i	−0.0914979	+	0.0302170i
$807$	−7.26985	−	7.26985i	−0.255911	−	0.255911i
$808$	5.21099	−	9.02570i	0.183322	−	0.317523i
$809$	−45.6891	−	26.3786i	−1.60634	−	0.927423i	−0.990179	−	0.139806i	$-0.955352\pi$
$809$	−45.6891	−	26.3786i	−1.60634	−	0.927423i	−0.616165	−	0.787617i	$-0.711315\pi$
$810$	32.9287	−	23.3525i	1.15700	−	0.820524i
$811$	31.7531	+	31.7531i	1.11500	+	1.11500i	0.992464	+	0.122540i	$0.0391038\pi$
$811$	31.7531	+	31.7531i	1.11500	+	1.11500i	0.122540	+	0.992464i	$0.460896\pi$
$812$	2.88347	−	1.66477i	0.101190	−	0.0584221i
$813$	−14.9932	+	8.65635i	−0.525836	+	0.303591i
$814$	−2.05120	−	2.05120i	−0.0718946	−	0.0718946i
$815$	−12.0845	+	8.57018i	−0.423303	+	0.300200i
$816$	−19.7543	−	11.4052i	−0.691539	−	0.399260i
$817$	14.8634	−	25.7442i	0.520006	−	0.900676i
$818$	−16.8213	−	16.8213i	−0.588141	−	0.588141i
$819$	9.02112	−	17.9176i	0.315224	−	0.626091i
$820$	−2.90669	−	2.40944i	−0.101506	−	0.0841412i
$821$	−51.2844	+	13.7416i	−1.78984	+	0.479586i	−0.992319	−	0.123707i	$-0.960522\pi$
$821$	−51.2844	+	13.7416i	−1.78984	+	0.479586i	−0.797520	+	0.603293i	$0.793855\pi$
$822$	24.5584	−	6.58040i	0.856573	−	0.229518i
$823$	−9.94545	+	37.1169i	−0.346677	+	1.29381i	0.543965	+	0.839108i	$0.316923\pi$
$823$	−9.94545	+	37.1169i	−0.346677	+	1.29381i	−0.890641	+	0.454707i	$0.849744\pi$
$824$	−11.9307	+	11.9307i	−0.415627	+	0.415627i
$825$	35.9075	−	30.8716i	1.25014	−	1.07481i
$826$	0.126980	+	0.0340242i	0.00441820	+	0.00118385i
$827$	−51.3144			−1.78438			−0.892188	−	0.451664i	$-0.850831\pi$
$827$	−51.3144			−1.78438			−0.892188	+	0.451664i	$0.850831\pi$
$828$	−2.92202	−	0.782952i	−0.101547	−	0.0272095i
$829$	6.20374	−	10.7452i	0.215465	−	0.373196i	−0.737951	−	0.674854i	$-0.764207\pi$
$829$	6.20374	−	10.7452i	0.215465	−	0.373196i	0.953416	+	0.301658i	$0.0975400\pi$
$830$	−31.7925	−	14.5936i	−1.10354	−	0.506550i
$831$		−	67.4445i		−	2.33962i
$832$	−0.206024	−	3.59966i	−0.00714261	−	0.124796i
$833$	32.5416	−	32.5416i	1.12750	−	1.12750i
$834$	−12.4370	−	46.4157i	−0.430660	−	1.60724i
$835$	−7.96938	+	17.3616i	−0.275792	+	0.600822i
$836$	12.1806	−	7.03248i	0.421275	−	0.243223i
$837$			9.34831i			0.323125i
$838$	18.4585	+	31.9711i	0.637639	+	1.10442i
$839$	2.61916	−	9.77485i	0.0904235	−	0.337465i	−0.905862	−	0.423572i	$-0.860776\pi$
$839$	2.61916	−	9.77485i	0.0904235	−	0.337465i	0.996286	+	0.0861070i	$0.0274427\pi$
$840$	−4.36220	−	3.61595i	−0.150510	−	0.124762i
$841$	−5.94203	−	10.2919i	−0.204898	−	0.354893i
$842$	−3.74364	−	13.9715i	−0.129014	−	0.481488i
$843$	−60.4094	−	34.8774i	−2.08061	−	1.20124i
$844$	2.71885			0.0935868
$845$	28.4447	−	5.99172i	0.978526	−	0.206121i
$846$	11.9099			0.409470
$847$	1.36043	+	0.785444i	0.0467449	+	0.0269882i
$848$	−1.83406	−	6.84480i	−0.0629818	−	0.235051i
$849$	14.2012	+	24.5972i	0.487383	+	0.844172i
$850$	−29.9199	−	20.4196i	−1.02624	−	0.700385i
$851$	−0.109219	+	0.407610i	−0.00374397	+	0.0139727i
$852$	16.0361	+	27.7753i	0.549387	+	0.951566i
$853$		−	16.4655i		−	0.563769i	−0.959448	−	0.281884i	$-0.909041\pi$
$853$		−	16.4655i		−	0.563769i	0.959448	−	0.281884i	$-0.0909594\pi$
$854$	1.55980	−	0.900551i	0.0533752	−	0.0308162i
$855$	67.7731	−	25.1288i	2.31779	−	0.859388i
$856$	2.91943	+	10.8955i	0.0997840	+	0.372399i
$857$	−26.1677	+	26.1677i	−0.893870	+	0.893870i	−0.994885	−	0.101015i	$-0.967791\pi$
$857$	−26.1677	+	26.1677i	−0.893870	+	0.893870i	0.101015	+	0.994885i	$0.467791\pi$
$858$	−1.95122	−	34.0917i	−0.0666135	−	1.16387i
$859$		−	3.70443i		−	0.126394i	−0.998001	−	0.0631968i	$-0.979870\pi$
$859$		−	3.70443i		−	0.126394i	0.998001	−	0.0631968i	$-0.0201296\pi$
$860$	−13.3292	+	4.94217i	−0.454520	+	0.168527i
$861$	−2.13920	+	3.70520i	−0.0729036	+	0.126273i
$862$	13.9188	+	3.72952i	0.474075	+	0.127028i
$863$	−9.65640			−0.328708			−0.164354	−	0.986401i	$-0.552554\pi$
$863$	−9.65640			−0.328708			−0.164354	+	0.986401i	$0.552554\pi$
$864$	−11.9012	−	3.18892i	−0.404888	−	0.108489i
$865$	−1.34797	+	7.92234i	−0.0458323	+	0.269368i
$866$	7.83530	−	7.83530i	0.266254	−	0.266254i
$867$	−28.9178	+	107.923i	−0.982100	+	3.66525i
$868$	0.589812	−	0.158040i	0.0200195	−	0.00536422i
$869$	−22.5387	+	6.03922i	−0.764572	+	0.204867i
$870$	18.5882	−	22.4244i	0.630199	−	0.760258i
$871$	−7.16093	+	14.2229i	−0.242639	+	0.481925i
$872$	5.74393	+	5.74393i	0.194514	+	0.194514i
$873$	46.3549	−	80.2890i	1.56887	−	2.71737i
$874$	−1.77193	−	1.02302i	−0.0599364	−	0.0346043i
$875$	−6.47593	−	6.24693i	−0.218926	−	0.211185i
$876$	−3.87271	−	3.87271i	−0.130847	−	0.130847i
$877$	−2.86091	+	1.65175i	−0.0966060	+	0.0557755i	−0.547525	−	0.836790i	$-0.684430\pi$
$877$	−2.86091	+	1.65175i	−0.0966060	+	0.0557755i	0.450919	+	0.892565i	$0.351096\pi$
$878$	−3.83328	+	2.21315i	−0.129367	+	0.0746901i
$879$	23.8169	+	23.8169i	0.803325	+	0.803325i
$880$	−6.63080	−	1.12822i	−0.223524	−	0.0380322i
$881$	6.11016	+	3.52770i	0.205857	+	0.118851i	0.599384	−	0.800461i	$-0.295412\pi$
$881$	6.11016	+	3.52770i	0.205857	+	0.118851i	−0.393528	+	0.919313i	$0.628745\pi$
$882$	21.9576	−	38.0317i	0.739351	−	1.28059i
$883$	−22.1294	−	22.1294i	−0.744714	−	0.744714i	0.228767	−	0.973481i	$-0.426531\pi$
$883$	−22.1294	−	22.1294i	−0.744714	−	0.744714i	−0.973481	+	0.228767i	$0.926531\pi$
$884$	−24.8037	+	8.19138i	−0.834238	+	0.275506i
$885$	1.14501	−	0.107101i	0.0384890	−	0.00360015i
$886$	−11.8826	+	3.18394i	−0.399205	+	0.106967i
$887$	35.8031	−	9.59340i	1.20215	−	0.322115i	0.398472	−	0.917180i	$-0.369541\pi$
$887$	35.8031	−	9.59340i	1.20215	−	0.322115i	0.803677	+	0.595066i	$0.202874\pi$
$888$	−0.785868	+	2.93290i	−0.0263720	+	0.0984217i
$889$	2.34085	−	2.34085i	0.0785095	−	0.0785095i
$890$	13.4889	+	2.29511i	0.452150	+	0.0769324i
$891$	−52.4545	−	14.0551i	−1.75729	−	0.470865i
$892$	27.6452			0.925630
$893$	7.78087	+	2.08488i	0.260377	+	0.0697677i
$894$	−17.4599	+	30.2414i	−0.583945	+	1.01142i
$895$	6.34830	−	13.8300i	0.212200	−	0.462285i
$896$			0.804795i			0.0268863i
$897$	−4.15301	+	2.72550i	−0.138665	+	0.0910017i
$898$	−15.8062	+	15.8062i	−0.527461	+	0.527461i
$899$	0.812422	+	3.03200i	0.0270958	+	0.101123i
$900$	−32.6212	−	11.4318i	−1.08737	−	0.381061i
$901$	−44.4601	+	25.6691i	−1.48118	+	0.855160i
$902$			5.07885i			0.169107i
$903$	8.05476	+	13.9512i	0.268046	+	0.464268i
$904$	4.47593	−	16.7044i	0.148867	−	0.555579i
$905$	2.41180	+	25.7845i	0.0801709	+	0.857105i
$906$	−24.9453	−	43.2065i	−0.828752	−	1.43544i
$907$	−9.11815	−	34.0294i	−0.302763	−	1.12993i	−0.934854	−	0.355033i	$-0.884470\pi$
$907$	−9.11815	−	34.0294i	−0.302763	−	1.12993i	0.632090	−	0.774895i	$-0.282197\pi$
$908$	2.99612	+	1.72981i	0.0994297	+	0.0574058i
$909$	−72.0499			−2.38975
$910$	−6.41518	+	0.972431i	−0.212661	+	0.0322358i
$911$	−45.7346			−1.51525			−0.757627	−	0.652687i	$-0.773642\pi$
$911$	−45.7346			−1.51525			−0.757627	+	0.652687i	$0.773642\pi$
$912$	−12.7497	−	7.36103i	−0.422184	−	0.243748i
$913$	12.1796	+	45.4550i	0.403087	+	1.50434i
$914$	0.643128	+	1.11393i	0.0212728	+	0.0368456i
$915$	10.0552	−	12.1304i	0.332414	−	0.401017i
$916$	−3.26592	+	12.1886i	−0.107909	+	0.402722i
$917$	−2.37753	−	4.11800i	−0.0785130	−	0.135988i
$918$			89.2629i			2.94611i
$919$	18.5669	−	10.7196i	0.612464	−	0.353606i	−0.161465	−	0.986878i	$-0.551622\pi$
$919$	18.5669	−	10.7196i	0.612464	−	0.353606i	0.773929	+	0.633272i	$0.218289\pi$
$920$	0.340161	+	0.917423i	0.0112148	+	0.0302465i
$921$	−10.5231	−	39.2728i	−0.346748	−	1.29408i
$922$	7.07754	−	7.07754i	0.233086	−	0.233086i
$923$	35.9612	+	7.46311i	1.18368	+	0.245651i
$924$			7.62205i			0.250747i
$925$	−1.59469	+	4.55053i	−0.0524332	+	0.149621i
$926$	−4.97746	+	8.62121i	−0.163569	+	0.283310i
$927$	112.670	+	30.1899i	3.70058	+	0.991566i
$928$	−4.13714			−0.135808
$929$	6.50804	+	1.74382i	0.213522	+	0.0572130i	0.363994	−	0.931401i	$-0.381413\pi$
$929$	6.50804	+	1.74382i	0.213522	+	0.0572130i	−0.150472	+	0.988614i	$0.548079\pi$
$930$	4.35719	−	3.09006i	0.142878	−	0.101327i
$931$	21.0028	−	21.0028i	0.688338	−	0.688338i
$932$	−0.444830	+	1.66013i	−0.0145709	+	0.0543793i
$933$	30.8200	−	8.25820i	1.00900	−	0.270361i
$934$	−4.86928	+	1.30472i	−0.159328	+	0.0426917i
$935$	4.53814	+	48.5171i	0.148413	+	1.58668i
$936$	−20.8392	+	13.6762i	−0.681152	+	0.447020i
$937$	−18.4026	−	18.4026i	−0.601188	−	0.601188i	0.339440	−	0.940628i	$-0.389763\pi$
$937$	−18.4026	−	18.4026i	−0.601188	−	0.601188i	−0.940628	+	0.339440i	$0.889763\pi$
$938$	1.77718	−	3.07817i	0.0580271	−	0.100506i
$939$	40.2772	+	23.2541i	1.31440	+	0.758868i
$940$	−2.22842	−	3.14223i	−0.0726831	−	0.102488i
$941$	32.3684	+	32.3684i	1.05518	+	1.05518i	0.998386	+	0.0567952i	$0.0180882\pi$
$941$	32.3684	+	32.3684i	1.05518	+	1.05518i	0.0567952	+	0.998386i	$0.481912\pi$
$942$	8.21658	−	4.74384i	0.267710	−	0.154563i
$943$	0.639843	−	0.369414i	0.0208362	−	0.0120298i
$944$	−0.115503	−	0.115503i	−0.00375929	−	0.00375929i
$945$	−3.71918	+	21.8585i	−0.120985	+	0.711058i
$946$	16.5614	+	9.56175i	0.538459	+	0.310879i
$947$	−14.4368	+	25.0053i	−0.469133	+	0.812562i	−0.999377	−	0.0352831i	$-0.988767\pi$
$947$	−14.4368	+	25.0053i	−0.469133	+	0.812562i	0.530245	+	0.847845i	$0.322100\pi$
$948$	17.2703	+	17.2703i	0.560913	+	0.560913i
$949$	−6.26157	+	0.358377i	−0.203259	+	0.0116334i
$950$	−19.3107	−	13.1790i	−0.626520	−	0.427584i
$951$	74.3609	−	19.9249i	2.41132	−	0.646111i
$952$	5.63186	−	1.50905i	0.182530	−	0.0489087i
$953$	−4.57801	+	17.0854i	−0.148296	+	0.553449i	0.851290	+	0.524695i	$0.175821\pi$
$953$	−4.57801	+	17.0854i	−0.148296	+	0.553449i	−0.999587	+	0.0287541i	$0.990846\pi$
$954$	−34.6406	+	34.6406i	−1.12153	+	1.12153i
$955$	−6.02645	−	8.49770i	−0.195011	−	0.274979i
$956$	−14.4584	−	3.87413i	−0.467620	−	0.125298i
$957$	−39.1820			−1.26658
$958$	−11.0757	−	2.96772i	−0.357839	−	0.0958828i
$959$	−3.24940	+	5.62812i	−0.104929	+	0.181742i
$960$	2.44758	+	6.60119i	0.0789954	+	0.213052i
$961$		−	30.4243i		−	0.981430i
$962$	1.90777	+	2.90699i	0.0615091	+	0.0937252i
$963$	55.1404	−	55.1404i	1.77687	−	1.77687i
$964$	−7.03259	−	26.2460i	−0.226504	−	0.845326i
$965$	27.2196	+	12.4945i	0.876229	+	0.402211i
$966$	0.960240	−	0.554395i	0.0308952	−	0.0178374i
$967$			0.721666i			0.0232072i	0.999933	+	0.0116036i	$0.00369363\pi$
$967$			0.721666i			0.0232072i	−0.999933	+	0.0116036i	$0.996306\pi$
$968$	−0.975956	−	1.69040i	−0.0313684	−	0.0543317i
$969$	−27.6050	+	103.023i	−0.886800	+	3.30958i
$970$	−29.8563	+	2.79266i	−0.958627	+	0.0896670i
$971$	15.4150	+	26.6996i	0.494691	+	0.856830i	0.999981	−	0.00611936i	$-0.00194787\pi$
$971$	15.4150	+	26.6996i	0.494691	+	0.856830i	−0.505290	+	0.862950i	$0.668615\pi$
$972$	5.14501	+	19.2014i	0.165026	+	0.615886i
$973$	10.6372	+	6.14140i	0.341014	+	0.196884i
$974$	0.244616			0.00783799
$975$	−49.6620	+	27.4864i	−1.59046	+	0.880268i
$976$	−2.23796			−0.0716355
$977$	16.0452	+	9.26370i	0.513331	+	0.296372i	0.734202	−	0.678931i	$-0.237557\pi$
$977$	16.0452	+	9.26370i	0.513331	+	0.296372i	−0.220871	+	0.975303i	$0.570890\pi$
$978$	−5.39910	−	20.1497i	−0.172644	−	0.644317i
$979$	−9.20319	−	15.9404i	−0.294135	−	0.509457i
$980$	−14.1425	+	1.32284i	−0.451764	+	0.0422566i
$981$	14.5346	−	54.2440i	0.464055	−	1.73188i
$982$	10.1011	+	17.4955i	0.322338	+	0.558305i
$983$			2.90661i			0.0927066i	0.998925	+	0.0463533i	$0.0147600\pi$
$983$			2.90661i			0.0927066i	−0.998925	+	0.0463533i	$0.985240\pi$
$984$	4.60390	−	2.65807i	0.146767	−	0.0847360i
$985$	−44.7579	−	20.5450i	−1.42610	−	0.654617i
$986$	7.75746	+	28.9512i	0.247048	+	0.921995i
$987$	−3.08676	+	3.08676i	−0.0982526	+	0.0982526i
$988$	−16.0086	+	5.28681i	−0.509302	+	0.168196i
$989$		−	2.78192i		−	0.0884599i
$990$	16.1656	+	43.5989i	0.513775	+	1.38566i
$991$	25.5607	−	44.2724i	0.811961	−	1.40636i	−0.0995281	−	0.995035i	$-0.531733\pi$
$991$	25.5607	−	44.2724i	0.811961	−	1.40636i	0.911489	−	0.411323i	$-0.134933\pi$
$992$	−0.732873	−	0.196373i	−0.0232687	−	0.00623484i
$993$	−3.77313			−0.119737
$994$	−7.91860	−	2.12178i	−0.251163	−	0.0672989i
$995$	−14.7296	−	20.7698i	−0.466961	−	0.658446i
$996$	34.8299	−	34.8299i	1.10363	−	1.10363i
$997$	−1.00192	+	3.73922i	−0.0317312	+	0.118422i	−0.979975	−	0.199121i	$-0.936191\pi$
$997$	−1.00192	+	3.73922i	−0.0317312	+	0.118422i	0.948244	+	0.317543i	$0.102858\pi$
$998$	3.68436	−	0.987220i	0.116626	−	0.0312499i
$999$	11.4772	−	3.07531i	0.363123	−	0.0972986i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	130.2.p.a.7.3	✓	12
5.2	odd	4		650.2.w.e.293.3		12
5.3	odd	4		130.2.s.a.33.1	yes	12
5.4	even	2		650.2.t.e.7.1		12
13.2	odd	12		130.2.s.a.67.1	yes	12
65.2	even	12		650.2.t.e.93.1		12
65.28	even	12	inner	130.2.p.a.93.3	yes	12
65.54	odd	12		650.2.w.e.457.3		12

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
130.2.p.a.7.3	✓	12	1.1	even	1	trivial
130.2.p.a.93.3	yes	12	65.28	even	12	inner
130.2.s.a.33.1	yes	12	5.3	odd	4
130.2.s.a.67.1	yes	12	13.2	odd	12
650.2.t.e.7.1		12	5.4	even	2
650.2.t.e.93.1		12	65.2	even	12
650.2.w.e.293.3		12	5.2	odd	4
650.2.w.e.457.3		12	65.54	odd	12

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:	\( N \)	\(=\)	\( 130 = 2 \cdot 5 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	130.p (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.866025 - 0.500000i) q^{2} +(0.814901 + 3.04125i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-2.22635 + 0.208246i) q^{5} +(0.814901 - 3.04125i) q^{6} +(0.402397 + 0.696972i) q^{7} -1.00000i q^{8} +(-5.98707 + 3.45663i) q^{9} +O(q^{10})\)	\(q+(-0.866025 - 0.500000i) q^{2} +(0.814901 + 3.04125i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-2.22635 + 0.208246i) q^{5} +(0.814901 - 3.04125i) q^{6} +(0.402397 + 0.696972i) q^{7} -1.00000i q^{8} +(-5.98707 + 3.45663i) q^{9} +(2.03220 + 0.932829i) q^{10} +(-0.778529 - 2.90551i) q^{11} +(-2.22635 + 2.22635i) q^{12} +(0.206024 + 3.59966i) q^{13} -0.804795i q^{14} +(-2.44758 - 6.60119i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(6.99788 + 1.87508i) q^{17} +6.91327 q^{18} +(4.51652 + 1.21020i) q^{19} +(-1.29352 - 1.82395i) q^{20} +(-1.79175 + 1.79175i) q^{21} +(-0.778529 + 2.90551i) q^{22} +(0.422668 - 0.113254i) q^{23} +(3.04125 - 0.814901i) q^{24} +(4.91327 - 0.927256i) q^{25} +(1.62141 - 3.22041i) q^{26} +(-8.71230 - 8.71230i) q^{27} +(-0.402397 + 0.696972i) q^{28} +(-3.58287 - 2.06857i) q^{29} +(-1.18093 + 6.94059i) q^{30} +(-0.536500 - 0.536500i) q^{31} +(0.866025 - 0.500000i) q^{32} +(8.20196 - 4.73540i) q^{33} +(-5.12281 - 5.12281i) q^{34} +(-1.04102 - 1.46791i) q^{35} +(-5.98707 - 3.45663i) q^{36} +(-0.482187 + 0.835172i) q^{37} +(-3.30632 - 3.30632i) q^{38} +(-10.7796 + 3.55994i) q^{39} +(0.208246 + 2.22635i) q^{40} +(1.63091 - 0.437002i) q^{41} +(2.44758 - 0.655828i) q^{42} +(1.64545 - 6.14091i) q^{43} +(2.12698 - 2.12698i) q^{44} +(12.6095 - 8.94246i) q^{45} +(-0.422668 - 0.113254i) q^{46} +1.72276 q^{47} +(-3.04125 - 0.814901i) q^{48} +(3.17615 - 5.50126i) q^{49} +(-4.71864 - 1.65361i) q^{50} +22.8103i q^{51} +(-3.01438 + 1.97825i) q^{52} +(-5.01074 + 5.01074i) q^{53} +(3.18892 + 11.9012i) q^{54} +(2.33834 + 6.30655i) q^{55} +(0.696972 - 0.402397i) q^{56} +14.7221i q^{57} +(2.06857 + 3.58287i) q^{58} +(-0.0422769 + 0.157780i) q^{59} +(4.49301 - 5.42026i) q^{60} +(1.11898 + 1.93813i) q^{61} +(0.196373 + 0.732873i) q^{62} +(-4.81836 - 2.78188i) q^{63} -1.00000 q^{64} +(-1.20830 - 7.97120i) q^{65} -9.47080 q^{66} +(3.82479 + 2.20825i) q^{67} +(1.87508 + 6.99788i) q^{68} +(0.688865 + 1.19315i) q^{69} +(0.167595 + 1.79175i) q^{70} +(2.63643 - 9.83928i) q^{71} +(3.45663 + 5.98707i) q^{72} +1.73949i q^{73} +(0.835172 - 0.482187i) q^{74} +(6.82384 + 14.1869i) q^{75} +(1.21020 + 4.51652i) q^{76} +(1.71178 - 1.71178i) q^{77} +(11.1154 + 2.30679i) q^{78} -7.75722i q^{79} +(0.932829 - 2.03220i) q^{80} +(9.02673 - 15.6348i) q^{81} +(-1.63091 - 0.437002i) q^{82} -15.6444 q^{83} +(-2.44758 - 0.655828i) q^{84} +(-15.9702 - 2.71730i) q^{85} +(-4.49546 + 4.49546i) q^{86} +(3.37136 - 12.5821i) q^{87} +(-2.90551 + 0.778529i) q^{88} +(5.91063 - 1.58375i) q^{89} +(-15.3914 + 1.43966i) q^{90} +(-2.42596 + 1.59209i) q^{91} +(0.309415 + 0.309415i) q^{92} +(1.19444 - 2.06883i) q^{93} +(-1.49195 - 0.861379i) q^{94} +(-10.3074 - 1.75378i) q^{95} +(2.22635 + 2.22635i) q^{96} +(-11.6138 + 6.70520i) q^{97} +(-5.50126 + 3.17615i) q^{98} +(14.7044 + 14.7044i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 12 q + 6 q^{4} - 24 q^{9}+O(q^{10}) \) 12 * q + 6 * q^4 - 24 * q^9	\( 12 q + 6 q^{4} - 24 q^{9} + 6 q^{11} - 12 q^{13} - 6 q^{15} - 6 q^{16} + 12 q^{17} + 12 q^{18} + 36 q^{19} - 6 q^{20} - 24 q^{21} + 6 q^{22} + 6 q^{23} - 12 q^{25} + 6 q^{26} - 12 q^{27} + 6 q^{29} + 6 q^{30} - 24 q^{31} - 6 q^{33} - 12 q^{34} - 12 q^{35} - 24 q^{36} - 6 q^{38} + 6 q^{39} + 18 q^{41} + 6 q^{42} + 6 q^{44} + 12 q^{45} - 6 q^{46} + 12 q^{47} - 24 q^{50} - 6 q^{52} + 18 q^{53} - 6 q^{54} - 24 q^{55} + 6 q^{56} + 6 q^{58} + 18 q^{59} + 24 q^{60} + 18 q^{61} + 12 q^{62} + 30 q^{63} - 12 q^{64} + 30 q^{65} - 36 q^{66} + 12 q^{67} - 42 q^{69} + 24 q^{70} + 18 q^{71} + 6 q^{72} + 6 q^{74} - 12 q^{75} + 30 q^{76} + 30 q^{77} + 30 q^{78} - 6 q^{80} + 30 q^{81} - 18 q^{82} - 48 q^{83} - 6 q^{84} - 18 q^{85} + 12 q^{87} + 6 q^{89} - 12 q^{90} - 6 q^{91} - 42 q^{93} + 24 q^{94} + 30 q^{95} - 102 q^{97} - 48 q^{98} + 54 q^{99}+O(q^{100}) \) 12 * q + 6 * q^4 - 24 * q^9 + 6 * q^11 - 12 * q^13 - 6 * q^15 - 6 * q^16 + 12 * q^17 + 12 * q^18 + 36 * q^19 - 6 * q^20 - 24 * q^21 + 6 * q^22 + 6 * q^23 - 12 * q^25 + 6 * q^26 - 12 * q^27 + 6 * q^29 + 6 * q^30 - 24 * q^31 - 6 * q^33 - 12 * q^34 - 12 * q^35 - 24 * q^36 - 6 * q^38 + 6 * q^39 + 18 * q^41 + 6 * q^42 + 6 * q^44 + 12 * q^45 - 6 * q^46 + 12 * q^47 - 24 * q^50 - 6 * q^52 + 18 * q^53 - 6 * q^54 - 24 * q^55 + 6 * q^56 + 6 * q^58 + 18 * q^59 + 24 * q^60 + 18 * q^61 + 12 * q^62 + 30 * q^63 - 12 * q^64 + 30 * q^65 - 36 * q^66 + 12 * q^67 - 42 * q^69 + 24 * q^70 + 18 * q^71 + 6 * q^72 + 6 * q^74 - 12 * q^75 + 30 * q^76 + 30 * q^77 + 30 * q^78 - 6 * q^80 + 30 * q^81 - 18 * q^82 - 48 * q^83 - 6 * q^84 - 18 * q^85 + 12 * q^87 + 6 * q^89 - 12 * q^90 - 6 * q^91 - 42 * q^93 + 24 * q^94 + 30 * q^95 - 102 * q^97 - 48 * q^98 + 54 * q^99

Introduction

L-functions

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