LMFDB - Embedded newform 280.2.br.a.67.15

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [280,2,Mod(67,280)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(280, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 6, 3, 8]))

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

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

chi := DirichletCharacter("280.67");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 280 = 2^{3} \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	280.br (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:	$2.23581125660$
Analytic rank:	$0$
Dimension:	$176$
Relative dimension:	$44$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			67.15
Character	$\chi$	$=$	280.67
Dual form			280.2.br.a.163.15

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.784588 - 1.17661i) q^{2} +(-0.0488512 - 0.182315i) q^{3} +(-0.768843 + 1.84632i) q^{4} +(-0.546472 - 2.16826i) q^{5} +(-0.176187 + 0.200521i) q^{6} +(1.82312 + 1.91735i) q^{7} +(2.77563 - 0.543964i) q^{8} +(2.56722 - 1.48219i) q^{9} +O(q^{10})$	\(q+(-0.784588 - 1.17661i) q^{2} +(-0.0488512 - 0.182315i) q^{3} +(-0.768843 + 1.84632i) q^{4} +(-0.546472 - 2.16826i) q^{5} +(-0.176187 + 0.200521i) q^{6} +(1.82312 + 1.91735i) q^{7} +(2.77563 - 0.543964i) q^{8} +(2.56722 - 1.48219i) q^{9} +(-2.12246 + 2.34418i) q^{10} +(1.05669 - 1.83024i) q^{11} +(0.374170 + 0.0499771i) q^{12} +(-3.49501 - 3.49501i) q^{13} +(0.825575 - 3.64944i) q^{14} +(-0.368612 + 0.205553i) q^{15} +(-2.81776 - 2.83905i) q^{16} +(-3.56637 + 0.955607i) q^{17} +(-3.75818 - 1.85773i) q^{18} +(0.681461 - 0.393442i) q^{19} +(4.42345 + 0.658096i) q^{20} +(0.260500 - 0.426048i) q^{21} +(-2.98255 + 0.192668i) q^{22} +(2.28131 - 8.51398i) q^{23} +(-0.234766 - 0.479466i) q^{24} +(-4.40274 + 2.36979i) q^{25} +(-1.37014 + 6.85442i) q^{26} +(-0.796030 - 0.796030i) q^{27} +(-4.94172 + 1.89192i) q^{28} +6.68638 q^{29} +(0.531065 + 0.272440i) q^{30} +(3.12563 + 1.80459i) q^{31} +(-1.12969 + 5.54290i) q^{32} +(-0.385301 - 0.103241i) q^{33} +(3.92251 + 3.44649i) q^{34} +(3.16103 - 5.00079i) q^{35} +(0.762792 + 5.87947i) q^{36} +(-3.30342 - 0.885149i) q^{37} +(-0.997596 - 0.493128i) q^{38} +(-0.466458 + 0.807929i) q^{39} +(-2.69626 - 5.72103i) q^{40} -1.47694 q^{41} +(-0.705679 + 0.0277647i) q^{42} +(-1.31725 + 1.31725i) q^{43} +(2.56677 + 3.35814i) q^{44} +(-4.61669 - 4.75644i) q^{45} +(-11.8076 + 3.99574i) q^{46} +(4.34971 + 1.16550i) q^{47} +(-0.379952 + 0.652412i) q^{48} +(-0.352432 + 6.99112i) q^{49} +(6.24266 + 3.32101i) q^{50} +(0.348443 + 0.603522i) q^{51} +(9.14000 - 3.76577i) q^{52} +(-1.40429 + 0.376278i) q^{53} +(-0.312065 + 1.56118i) q^{54} +(-4.54589 - 1.29101i) q^{55} +(6.10328 + 4.33012i) q^{56} +(-0.105021 - 0.105021i) q^{57} +(-5.24605 - 7.86729i) q^{58} +(5.46829 + 3.15712i) q^{59} +(-0.0961100 - 0.838611i) q^{60} +(0.644970 - 0.372373i) q^{61} +(-0.329033 - 5.09352i) q^{62} +(7.52224 + 2.22004i) q^{63} +(7.40821 - 3.01968i) q^{64} +(-5.66818 + 9.48802i) q^{65} +(0.180827 + 0.534352i) q^{66} +(11.8811 - 3.18352i) q^{67} +(0.977631 - 7.31936i) q^{68} -1.66367 q^{69} +(-8.36411 + 0.204252i) q^{70} +8.25143i q^{71} +(6.31940 - 5.51048i) q^{72} +(2.92836 + 10.9288i) q^{73} +(1.55035 + 4.58133i) q^{74} +(0.647128 + 0.686919i) q^{75} +(0.202481 + 1.56069i) q^{76} +(5.43567 - 1.31071i) q^{77} +(1.31660 - 0.0850501i) q^{78} +(3.89784 + 6.75126i) q^{79} +(-4.61599 + 7.66111i) q^{80} +(4.34032 - 7.51766i) q^{81} +(1.15879 + 1.73779i) q^{82} +(-8.14658 + 8.14658i) q^{83} +(0.586336 + 0.808529i) q^{84} +(4.02093 + 7.21063i) q^{85} +(2.58339 + 0.516395i) q^{86} +(-0.326638 - 1.21903i) q^{87} +(1.93739 - 5.65486i) q^{88} +(4.78185 - 2.76080i) q^{89} +(-1.97430 + 9.16391i) q^{90} +(0.329304 - 13.0730i) q^{91} +(13.9655 + 10.7579i) q^{92} +(0.176312 - 0.658007i) q^{93} +(-2.04138 - 6.03237i) q^{94} +(-1.22549 - 1.26258i) q^{95} +(1.06574 - 0.0648174i) q^{96} +(-12.2803 - 12.2803i) q^{97} +(8.50237 - 5.07047i) q^{98} -6.26484i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8}+O(q^{10}) $ 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8	$ 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8} - 2 q^{10} - 8 q^{11} - 14 q^{12} + 4 q^{16} - 4 q^{17} - 16 q^{18} + 8 q^{20} - 4 q^{25} - 20 q^{26} - 40 q^{27} - 34 q^{28} - 12 q^{30} + 18 q^{32} + 20 q^{33} - 32 q^{35} - 48 q^{36} - 16 q^{38} - 22 q^{40} - 32 q^{41} + 30 q^{42} - 16 q^{43} + 20 q^{46} + 36 q^{48} + 68 q^{50} - 8 q^{51} - 32 q^{52} - 52 q^{56} - 40 q^{57} - 14 q^{58} - 50 q^{60} + 56 q^{62} - 4 q^{65} - 60 q^{66} - 28 q^{67} - 40 q^{68} + 64 q^{70} - 48 q^{72} - 4 q^{73} - 4 q^{75} - 144 q^{76} + 184 q^{78} - 40 q^{80} + 32 q^{81} + 74 q^{82} - 16 q^{83} - 56 q^{86} - 64 q^{88} - 56 q^{90} + 16 q^{91} + 44 q^{92} - 104 q^{96} - 48 q^{97} + 70 q^{98}+O(q^{100}) $ 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8 - 2 * q^10 - 8 * q^11 - 14 * q^12 + 4 * q^16 - 4 * q^17 - 16 * q^18 + 8 * q^20 - 4 * q^25 - 20 * q^26 - 40 * q^27 - 34 * q^28 - 12 * q^30 + 18 * q^32 + 20 * q^33 - 32 * q^35 - 48 * q^36 - 16 * q^38 - 22 * q^40 - 32 * q^41 + 30 * q^42 - 16 * q^43 + 20 * q^46 + 36 * q^48 + 68 * q^50 - 8 * q^51 - 32 * q^52 - 52 * q^56 - 40 * q^57 - 14 * q^58 - 50 * q^60 + 56 * q^62 - 4 * q^65 - 60 * q^66 - 28 * q^67 - 40 * q^68 + 64 * q^70 - 48 * q^72 - 4 * q^73 - 4 * q^75 - 144 * q^76 + 184 * q^78 - 40 * q^80 + 32 * q^81 + 74 * q^82 - 16 * q^83 - 56 * q^86 - 64 * q^88 - 56 * q^90 + 16 * q^91 + 44 * q^92 - 104 * q^96 - 48 * q^97 + 70 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/280\mathbb{Z}\right)^\times$.

$n$	$57$	$71$	$141$	$241$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$-1$	$-1$	$e\left(\frac{2}{3}\right)$

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 $

$2$	−0.784588	−	1.17661i	−0.554787	−	0.831992i
$2$	−0.784588	−	1.17661i	−0.554787	−	0.831992i
$3$	−0.0488512	−	0.182315i	−0.0282043	−	0.105260i	0.950389	−	0.311064i	$-0.100686\pi$
$3$	−0.0488512	−	0.182315i	−0.0282043	−	0.105260i	−0.978593	+	0.205805i	$0.934019\pi$
$4$	−0.768843	+	1.84632i	−0.384422	+	0.923158i
$5$	−0.546472	−	2.16826i	−0.244390	−	0.969677i
$5$	−0.546472	−	2.16826i	−0.244390	−	0.969677i
$6$	−0.176187	+	0.200521i	−0.0719279	+	0.0818625i
$7$	1.82312	+	1.91735i	0.689076	+	0.724689i
$7$	1.82312	+	1.91735i	0.689076	+	0.724689i
$8$	2.77563	−	0.543964i	0.981332	−	0.192320i
$9$	2.56722	−	1.48219i	0.855741	−	0.494062i
$10$	−2.12246	+	2.34418i	−0.671179	+	0.741295i
$11$	1.05669	−	1.83024i	0.318603	−	0.551837i	−0.661593	−	0.749863i	$-0.730120\pi$
$11$	1.05669	−	1.83024i	0.318603	−	0.551837i	0.980197	+	0.198025i	$0.0634529\pi$
$12$	0.374170	+	0.0499771i	0.108014	+	0.0144272i
$13$	−3.49501	−	3.49501i	−0.969341	−	0.969341i	0.0302030	−	0.999544i	$-0.490385\pi$
$13$	−3.49501	−	3.49501i	−0.969341	−	0.969341i	−0.999544	+	0.0302030i	$0.990385\pi$
$14$	0.825575	−	3.64944i	0.220644	−	0.975354i
$15$	−0.368612	+	0.205553i	−0.0951752	+	0.0530734i
$16$	−2.81776	−	2.83905i	−0.704440	−	0.709764i
$17$	−3.56637	+	0.955607i	−0.864972	+	0.231769i	−0.663913	−	0.747810i	$-0.731105\pi$
$17$	−3.56637	+	0.955607i	−0.864972	+	0.231769i	−0.201060	+	0.979579i	$0.564439\pi$
$18$	−3.75818	−	1.85773i	−0.885811	−	0.437870i
$19$	0.681461	−	0.393442i	0.156338	−	0.0902618i	−0.419790	−	0.907621i	$-0.637896\pi$
$19$	0.681461	−	0.393442i	0.156338	−	0.0902618i	0.576128	+	0.817359i	$0.304563\pi$
$20$	4.42345	+	0.658096i	0.989113	+	0.147155i
$21$	0.260500	−	0.426048i	0.0568457	−	0.0929714i
$22$	−2.98255	+	0.192668i	−0.635881	+	0.0410769i
$23$	2.28131	−	8.51398i	0.475687	−	1.77529i	−0.143079	−	0.989711i	$-0.545700\pi$
$23$	2.28131	−	8.51398i	0.475687	−	1.77529i	0.618766	−	0.785576i	$-0.287633\pi$
$24$	−0.234766	−	0.479466i	−0.0479214	−	0.0978706i
$25$	−4.40274	+	2.36979i	−0.880547	+	0.473958i
$26$	−1.37014	+	6.85442i	−0.268706	+	1.34426i
$27$	−0.796030	−	0.796030i	−0.153196	−	0.153196i
$28$	−4.94172	+	1.89192i	−0.933898	+	0.357540i
$29$	6.68638			1.24163			0.620814	−	0.783958i	$-0.286802\pi$
$29$	6.68638			1.24163			0.620814	+	0.783958i	$0.286802\pi$
$30$	0.531065	+	0.272440i	0.0969587	+	0.0497405i
$31$	3.12563	+	1.80459i	0.561380	+	0.324113i	0.753699	−	0.657219i	$-0.228268\pi$
$31$	3.12563	+	1.80459i	0.561380	+	0.324113i	−0.192319	+	0.981332i	$0.561601\pi$
$32$	−1.12969	+	5.54290i	−0.199703	+	0.979856i
$33$	−0.385301	−	0.103241i	−0.0670722	−	0.0179720i
$34$	3.92251	+	3.44649i	0.672706	+	0.591068i
$35$	3.16103	−	5.00079i	0.534311	−	0.845288i
$36$	0.762792	+	5.87947i	0.127132	+	0.979912i
$37$	−3.30342	−	0.885149i	−0.543079	−	0.145518i	−0.0231578	−	0.999732i	$-0.507372\pi$
$37$	−3.30342	−	0.885149i	−0.543079	−	0.145518i	−0.519921	+	0.854214i	$0.674039\pi$
$38$	−0.997596	−	0.493128i	−0.161831	−	0.0799959i
$39$	−0.466458	+	0.807929i	−0.0746930	+	0.129372i
$40$	−2.69626	−	5.72103i	−0.426316	−	0.904574i
$41$	−1.47694			−0.230659			−0.115330	−	0.993327i	$-0.536792\pi$
$41$	−1.47694			−0.230659			−0.115330	+	0.993327i	$0.536792\pi$
$42$	−0.705679	+	0.0277647i	−0.108889	+	0.00428419i
$43$	−1.31725	+	1.31725i	−0.200878	+	0.200878i	−0.800376	−	0.599498i	$-0.795367\pi$
$43$	−1.31725	+	1.31725i	−0.200878	+	0.200878i	0.599498	+	0.800376i	$0.295367\pi$
$44$	2.56677	+	3.35814i	0.386955	+	0.506259i
$45$	−4.61669	−	4.75644i	−0.688215	−	0.709049i
$46$	−11.8076	+	3.99574i	−1.74093	+	0.589139i
$47$	4.34971	+	1.16550i	0.634470	+	0.170006i	0.561698	−	0.827343i	$-0.310148\pi$
$47$	4.34971	+	1.16550i	0.634470	+	0.170006i	0.0727730	+	0.997349i	$0.476815\pi$
$48$	−0.379952	+	0.652412i	−0.0548414	+	0.0941676i
$49$	−0.352432	+	6.99112i	−0.0503474	+	0.998732i
$50$	6.24266	+	3.32101i	0.882846	+	0.469662i
$51$	0.348443	+	0.603522i	0.0487918	+	0.0845099i
$52$	9.14000	−	3.76577i	1.26749	−	0.522219i
$53$	−1.40429	+	0.376278i	−0.192894	+	0.0516857i	−0.353973	−	0.935256i	$-0.615169\pi$
$53$	−1.40429	+	0.376278i	−0.192894	+	0.0516857i	0.161079	+	0.986942i	$0.448503\pi$
$54$	−0.312065	+	1.56118i	−0.0424666	+	0.212449i
$55$	−4.54589	−	1.29101i	−0.612967	−	0.174079i
$56$	6.10328	+	4.33012i	0.815585	+	0.578637i
$57$	−0.105021	−	0.105021i	−0.0139103	−	0.0139103i
$58$	−5.24605	−	7.86729i	−0.688840	−	1.03303i
$59$	5.46829	+	3.15712i	0.711911	+	0.411022i	0.811768	−	0.583980i	$-0.198505\pi$
$59$	5.46829	+	3.15712i	0.711911	+	0.411022i	−0.0998571	+	0.995002i	$0.531839\pi$
$60$	−0.0961100	−	0.838611i	−0.0124077	−	0.108264i
$61$	0.644970	−	0.372373i	0.0825799	−	0.0476775i	−0.458141	−	0.888879i	$-0.651485\pi$
$61$	0.644970	−	0.372373i	0.0825799	−	0.0476775i	0.540721	+	0.841202i	$0.318151\pi$
$62$	−0.329033	−	5.09352i	−0.0417872	−	0.646878i
$63$	7.52224	+	2.22004i	0.947713	+	0.279699i
$64$	7.40821	−	3.01968i	0.926026	−	0.377460i
$65$	−5.66818	+	9.48802i	−0.703051	+	1.17684i
$66$	0.180827	+	0.534352i	0.0222583	+	0.0657742i
$67$	11.8811	−	3.18352i	1.45150	−	0.388929i	0.554958	−	0.831879i	$-0.312734\pi$
$67$	11.8811	−	3.18352i	1.45150	−	0.388929i	0.896547	+	0.442949i	$0.146068\pi$
$68$	0.977631	−	7.31936i	0.118555	−	0.887603i
$69$	−1.66367			−0.200283
$70$	−8.36411	+	0.204252i	−0.999702	+	0.0244128i
$71$			8.25143i			0.979265i	0.871929	+	0.489632i	$0.162869\pi$
$71$			8.25143i			0.979265i	−0.871929	+	0.489632i	$0.837131\pi$
$72$	6.31940	−	5.51048i	0.744748	−	0.649416i
$73$	2.92836	+	10.9288i	0.342739	+	1.27912i	0.895232	+	0.445600i	$0.147010\pi$
$73$	2.92836	+	10.9288i	0.342739	+	1.27912i	−0.552493	+	0.833517i	$0.686324\pi$
$74$	1.55035	+	4.58133i	0.180224	+	0.532569i
$75$	0.647128	+	0.686919i	0.0747239	+	0.0793186i
$76$	0.202481	+	1.56069i	0.0232261	+	0.179023i
$77$	5.43567	−	1.31071i	0.619452	−	0.149370i
$78$	1.31660	−	0.0850501i	0.149075	−	0.00963002i
$79$	3.89784	+	6.75126i	0.438541	+	0.759576i	0.997577	−	0.0695677i	$-0.0221620\pi$
$79$	3.89784	+	6.75126i	0.438541	+	0.759576i	−0.559036	+	0.829143i	$0.688829\pi$
$80$	−4.61599	+	7.66111i	−0.516084	+	0.856538i
$81$	4.34032	−	7.51766i	0.482258	−	0.835295i
$82$	1.15879	+	1.73779i	0.127967	+	0.191907i
$83$	−8.14658	+	8.14658i	−0.894203	+	0.894203i	−0.994916	−	0.100712i	$-0.967888\pi$
$83$	−8.14658	+	8.14658i	−0.894203	+	0.894203i	0.100712	+	0.994916i	$0.467888\pi$
$84$	0.586336	+	0.808529i	0.0639745	+	0.0882177i
$85$	4.02093	+	7.21063i	0.436131	+	0.782102i
$86$	2.58339	+	0.516395i	0.278574	+	0.0556843i
$87$	−0.326638	−	1.21903i	−0.0350192	−	0.130694i
$88$	1.93739	−	5.65486i	0.206526	−	0.602810i
$89$	4.78185	−	2.76080i	0.506875	−	0.292644i	−0.224673	−	0.974434i	$-0.572132\pi$
$89$	4.78185	−	2.76080i	0.506875	−	0.292644i	0.731548	+	0.681790i	$0.238798\pi$
$90$	−1.97430	+	9.16391i	−0.208110	+	0.965961i
$91$	0.329304	−	13.0730i	0.0345204	−	1.37042i
$92$	13.9655	+	10.7579i	1.45601	+	1.12159i
$93$	0.176312	−	0.658007i	0.0182827	−	0.0682321i
$94$	−2.04138	−	6.03237i	−0.210553	−	0.622192i
$95$	−1.22549	−	1.26258i	−0.125732	−	0.129538i
$96$	1.06574	−	0.0648174i	0.108772	−	0.00661540i
$97$	−12.2803	−	12.2803i	−1.24687	−	1.24687i	−0.957094	−	0.289777i	$-0.906419\pi$
$97$	−12.2803	−	12.2803i	−1.24687	−	1.24687i	−0.289777	−	0.957094i	$-0.593581\pi$
$98$	8.50237	−	5.07047i	0.858869	−	0.512195i
$99$		−	6.26484i		−	0.629640i
$100$	−0.990365	−	9.95084i	−0.0990365	−	0.995084i
$101$	−13.0515	−	7.53531i	−1.29868	−	0.749792i	−0.318502	−	0.947922i	$-0.603180\pi$
$101$	−13.0515	−	7.53531i	−1.29868	−	0.749792i	−0.980176	+	0.198131i	$0.936513\pi$
$102$	0.436728	−	0.883500i	0.0432425	−	0.0874795i
$103$	−3.53286	+	13.1848i	−0.348103	+	1.29914i	0.540842	+	0.841124i	$0.318106\pi$
$103$	−3.53286	+	13.1848i	−0.348103	+	1.29914i	−0.888945	+	0.458014i	$0.848561\pi$
$104$	−11.6020	−	7.79968i	−1.13767	−	0.764821i
$105$	−1.06614	−	0.332008i	−0.104045	−	0.0324007i
$106$	1.54452	+	1.35708i	0.150017	+	0.131812i
$107$	−3.78858	+	14.1392i	−0.366256	+	1.36689i	0.499455	+	0.866340i	$0.333534\pi$
$107$	−3.78858	+	14.1392i	−0.366256	+	1.36689i	−0.865710	+	0.500545i	$0.833133\pi$
$108$	2.08174	−	0.857699i	0.200316	−	0.0825322i
$109$	−4.27312	+	7.40125i	−0.409290	+	0.708912i	−0.994810	−	0.101746i	$-0.967557\pi$
$109$	−4.27312	+	7.40125i	−0.409290	+	0.708912i	0.585520	+	0.810658i	$0.300890\pi$
$110$	2.04763	+	6.36166i	0.195234	+	0.606561i
$111$			0.645505i			0.0612686i
$112$	0.306323	−	10.5786i	0.0289448	−	0.999581i
$113$	8.87860	−	8.87860i	0.835228	−	0.835228i	−0.152998	−	0.988226i	$-0.548893\pi$
$113$	8.87860	−	8.87860i	0.835228	−	0.835228i	0.988226	+	0.152998i	$0.0488929\pi$
$114$	−0.0411709	+	0.205967i	−0.00385601	+	0.0192906i
$115$	−19.7072	−	0.293840i	−1.83771	−	0.0274007i
$116$	−5.14078	+	12.3452i	−0.477309	+	1.14622i
$117$	−14.1527	−	3.79221i	−1.30842	−	0.350590i
$118$	−0.575643	−	8.91111i	−0.0529922	−	0.820334i
$119$	−8.33417	−	5.09578i	−0.763992	−	0.467129i
$120$	−0.911316	+	0.771049i	−0.0831913	+	0.0703868i
$121$	3.26682	+	5.65830i	0.296984	+	0.514391i
$122$	−0.944175	−	0.466721i	−0.0854816	−	0.0422549i
$123$	0.0721504	+	0.269269i	0.00650558	+	0.0242792i
$124$	−5.73496	+	4.38346i	−0.515014	+	0.393646i
$125$	7.54430	+	8.25127i	0.674783	+	0.738016i
$126$	−3.28972	−	10.5926i	−0.293072	−	0.943663i
$127$	0.236901	−	0.236901i	0.0210216	−	0.0210216i	−0.696518	−	0.717539i	$-0.745268\pi$
$127$	0.236901	−	0.236901i	0.0210216	−	0.0210216i	0.717539	+	0.696518i	$0.245268\pi$
$128$	−9.36539	−	6.34740i	−0.827792	−	0.561036i
$129$	0.304503	+	0.175805i	0.0268100	+	0.0154788i
$130$	15.6109	−	0.774931i	1.36917	−	0.0679659i
$131$	0.457319	+	0.792101i	0.0399562	+	0.0692062i	0.885312	−	0.464998i	$-0.153945\pi$
$131$	0.457319	+	0.792101i	0.0399562	+	0.0692062i	−0.845356	+	0.534204i	$0.820611\pi$
$132$	0.486851	−	0.632010i	0.0423750	−	0.0550094i
$133$	1.99675	+	0.589304i	0.173140	+	0.0510991i
$134$	−13.0675	−	11.4817i	−1.12886	−	0.991867i
$135$	−1.29099	+	2.16101i	−0.111111	+	0.185990i
$136$	−9.37910	+	4.59239i	−0.804251	+	0.393794i
$137$	−6.33837	+	1.69836i	−0.541524	+	0.145101i	−0.519204	−	0.854650i	$-0.673772\pi$
$137$	−6.33837	+	1.69836i	−0.541524	+	0.145101i	−0.0223192	+	0.999751i	$0.507105\pi$
$138$	1.30530	+	1.95750i	0.111114	+	0.166634i
$139$		−	9.18438i		−	0.779009i	−0.921025	−	0.389505i	$-0.872646\pi$
$139$		−	9.18438i		−	0.779009i	0.921025	−	0.389505i	$-0.127354\pi$
$140$	6.80270	+	9.68108i	0.574933	+	0.818200i
$141$		−	0.849955i		−	0.0715791i
$142$	9.70875	−	6.47397i	0.814741	−	0.543284i
$143$	−10.0898	+	2.70356i	−0.843754	+	0.226083i
$144$	−11.4418	−	3.11204i	−0.953486	−	0.259337i
$145$	−3.65392	−	14.4978i	−0.303441	−	1.20398i
$146$	10.5614	−	12.0201i	0.874069	−	0.994794i
$147$	1.29181	−	0.277271i	0.106546	−	0.0228690i
$148$	4.17408	−	5.41861i	0.343107	−	0.445407i
$149$	0.392779	+	0.680313i	0.0321777	+	0.0557334i	0.881666	−	0.471874i	$-0.156422\pi$
$149$	0.392779	+	0.680313i	0.0321777	+	0.0557334i	−0.849488	+	0.527608i	$0.823089\pi$
$150$	0.300510	−	1.30037i	0.0245365	−	0.106175i
$151$	−0.170377	−	0.0983673i	−0.0138651	−	0.00800501i	0.493051	−	0.870000i	$-0.335881\pi$
$151$	−0.170377	−	0.0983673i	−0.0138651	−	0.00800501i	−0.506917	+	0.861995i	$0.669215\pi$
$152$	1.67746	−	1.46274i	0.136060	−	0.118644i
$153$	−7.73929	+	7.73929i	−0.625684	+	0.625684i
$154$	−5.80697	−	5.36732i	−0.467939	−	0.432511i
$155$	2.20475	−	7.76335i	0.177089	−	0.623568i
$156$	−1.13306	−	1.48240i	−0.0907173	−	0.118687i
$157$	5.88128	+	21.9492i	0.469378	+	1.75174i	0.641952	+	0.766744i	$0.278125\pi$
$157$	5.88128	+	21.9492i	0.469378	+	1.75174i	−0.172575	+	0.984996i	$0.555209\pi$
$158$	4.88543	−	9.88321i	0.388664	−	0.786266i
$159$	0.137202	+	0.237642i	0.0108809	+	0.0188462i
$160$	12.6358	−	0.579569i	0.998950	−	0.0458190i
$161$	20.4834	−	11.1480i	1.61431	−	0.878584i
$162$	−12.2507	+	0.791378i	−0.962510	+	0.0621765i
$163$	1.84419	+	0.494149i	0.144448	+	0.0387047i	0.330318	−	0.943870i	$-0.392844\pi$
$163$	1.84419	+	0.494149i	0.144448	+	0.0387047i	−0.185871	+	0.982574i	$0.559511\pi$
$164$	1.13554	−	2.72690i	0.0886705	−	0.212935i
$165$	−0.0132977	+	0.891852i	−0.00103523	+	0.0694306i
$166$	15.9771	+	3.19368i	1.24006	+	0.247877i
$167$	13.1632	−	13.1632i	1.01860	−	1.01860i	0.0187730	−	0.999824i	$-0.494024\pi$
$167$	13.1632	−	13.1632i	1.01860	−	1.01860i	0.999824	−	0.0187730i	$-0.00597597\pi$
$168$	0.491295	−	1.32425i	0.0379042	−	0.102168i
$169$			11.4302i			0.879243i
$170$	5.32935	−	10.3885i	0.408743	−	0.796758i
$171$	1.16631	−	2.02011i	0.0891899	−	0.154481i
$172$	−1.41929	−	3.44481i	−0.108220	−	0.262664i
$173$	0.757594	−	2.82738i	0.0575988	−	0.214962i	−0.931128	−	0.364693i	$-0.881174\pi$
$173$	0.757594	−	2.82738i	0.0575988	−	0.214962i	0.988727	+	0.149731i	$0.0478408\pi$
$174$	−1.17805	+	1.34076i	−0.0893078	+	0.101643i
$175$	−12.5704	−	4.12115i	−0.950237	−	0.311529i
$176$	−8.17364	+	2.15717i	−0.616111	+	0.162603i
$177$	0.308458	−	1.15118i	0.0231852	−	0.0865282i
$178$	−7.00018	−	3.46030i	−0.524685	−	0.259360i
$179$	17.3398	+	10.0111i	1.29604	+	0.748267i	0.979717	−	0.200385i	$-0.0642194\pi$
$179$	17.3398	+	10.0111i	1.29604	+	0.748267i	0.316320	+	0.948653i	$0.397553\pi$
$180$	12.3314	−	4.86690i	0.919129	−	0.362757i
$181$		−	2.37279i		−	0.176368i	−0.996104	−	0.0881839i	$-0.971894\pi$
$181$		−	2.37279i		−	0.176368i	0.996104	−	0.0881839i	$-0.0281063\pi$
$182$	−15.6402	+	9.86944i	−1.15933	+	0.731571i
$183$	−0.0993969	−	0.0993969i	−0.00734763	−	0.00734763i
$184$	1.70078	−	24.8726i	0.125383	−	1.83363i
$185$	−0.114010	+	7.64640i	−0.00838216	+	0.562174i
$186$	−0.912553	+	0.308813i	−0.0669116	+	0.0226432i
$187$	−2.01956	+	7.53709i	−0.147685	+	0.551166i
$188$	−5.49613	+	7.13485i	−0.400846	+	0.520362i
$189$	0.0750028	−	2.97753i	0.00545565	−	0.216583i
$190$	−0.524073	+	2.43253i	−0.0380202	+	0.176474i
$191$	−7.99765	+	4.61745i	−0.578690	+	0.334107i	−0.760613	−	0.649206i	$-0.775101\pi$
$191$	−7.99765	+	4.61745i	−0.578690	+	0.334107i	0.181923	+	0.983313i	$0.441768\pi$
$192$	−0.912434	−	1.20311i	−0.0658493	−	0.0868273i
$193$	−4.40006	−	16.4213i	−0.316724	−	1.18203i	−0.922374	−	0.386298i	$-0.873754\pi$
$193$	−4.40006	−	16.4213i	−0.316724	−	1.18203i	0.605651	−	0.795731i	$-0.292913\pi$
$194$	−4.81419	+	24.0841i	−0.345638	+	1.72914i
$195$	2.00671	+	0.569893i	0.143703	+	0.0408109i
$196$	−12.6369	−	6.02578i	−0.902632	−	0.430413i
$197$	−1.12312	+	1.12312i	−0.0800190	+	0.0800190i	−0.745983	−	0.665964i	$-0.768020\pi$
$197$	−1.12312	+	1.12312i	−0.0800190	+	0.0800190i	0.665964	+	0.745983i	$0.268020\pi$
$198$	−7.37130	+	4.91532i	−0.523855	+	0.349316i
$199$	−1.20842	+	2.09305i	−0.0856627	+	0.148372i	−0.905673	−	0.423976i	$-0.860634\pi$
$199$	−1.20842	+	2.09305i	−0.0856627	+	0.148372i	0.820011	+	0.572348i	$0.193967\pi$
$200$	−10.9313	+	8.97259i	−0.772958	+	0.634458i
$201$	−1.16081	−	2.01058i	−0.0818772	−	0.141816i
$202$	1.37393	+	21.2688i	0.0966691	+	1.49646i
$203$	12.1901	+	12.8201i	0.855577	+	0.899794i
$204$	−1.38219	+	0.179323i	−0.0967726	+	0.0125551i
$205$	0.807107	+	3.20240i	0.0563708	+	0.223665i
$206$	18.2853	−	6.18783i	1.27400	−	0.431127i
$207$	−6.76267	−	25.2386i	−0.470038	−	1.75421i
$208$	−0.0744277	+	19.7706i	−0.00516063	+	1.37085i
$209$		−	1.66298i		−	0.115031i
$210$	0.445835	+	1.51493i	0.0307656	+	0.104540i
$211$	−12.9720			−0.893032			−0.446516	−	0.894776i	$-0.647335\pi$
$211$	−12.9720			−0.893032			−0.446516	+	0.894776i	$0.647335\pi$
$212$	0.384950	−	2.88206i	0.0264385	−	0.197940i
$213$	1.50436	−	0.403093i	0.103077	−	0.0276195i
$214$	19.6088	−	6.63573i	1.34043	−	0.453609i
$215$	3.57597	+	2.13630i	0.243879	+	0.145694i
$216$	−2.64249	−	1.77647i	−0.179799	−	0.120873i
$217$	2.23841	+	9.28290i	0.151953	+	0.630165i
$218$	12.0611	−	0.779124i	0.816878	−	0.0527690i
$219$	1.84943	−	1.06777i	0.124973	−	0.0721532i
$220$	5.87868	−	7.40056i	0.396340	−	0.498946i
$221$	15.8044	+	9.12465i	1.06312	+	0.613790i
$222$	0.759510	−	0.506455i	0.0509750	−	0.0339911i
$223$	5.00700	+	5.00700i	0.335294	+	0.335294i	0.854593	−	0.519299i	$-0.173807\pi$
$223$	5.00700	+	5.00700i	0.335294	+	0.335294i	−0.519299	+	0.854593i	$0.673807\pi$
$224$	−12.6872	+	7.93940i	−0.847702	+	0.530473i
$225$	−7.79034	+	12.6095i	−0.519356	+	0.840631i
$226$	−17.4127	−	3.48065i	−1.15828	−	0.231529i
$227$	−13.7165	+	3.67532i	−0.910396	+	0.243940i	−0.683476	−	0.729973i	$-0.739532\pi$
$227$	−13.7165	+	3.67532i	−0.910396	+	0.243940i	−0.226920	+	0.973913i	$0.572866\pi$
$228$	0.274646	−	0.113157i	0.0181889	−	0.00749399i
$229$	4.01062	+	6.94659i	0.265029	+	0.459044i	0.967571	−	0.252598i	$-0.0812851\pi$
$229$	4.01062	+	6.94659i	0.265029	+	0.459044i	−0.702542	+	0.711642i	$0.747952\pi$
$230$	15.1163	+	23.4183i	0.996740	+	1.54416i
$231$	−0.504503	−	0.926976i	−0.0331938	−	0.0609906i
$232$	18.5589	−	3.63715i	1.21845	−	0.238791i
$233$	15.9876	+	4.28386i	1.04738	+	0.280645i	0.741170	−	0.671318i	$-0.234271\pi$
$233$	15.9876	+	4.28386i	1.04738	+	0.280645i	0.306213	+	0.951963i	$0.400938\pi$
$234$	6.64209	+	19.6276i	0.434207	+	1.28310i
$235$	0.150120	−	10.0682i	0.00979274	−	0.656779i
$236$	−10.0333	+	7.66886i	−0.653112	+	0.499200i
$237$	1.04044	−	1.04044i	0.0675840	−	0.0675840i
$238$	0.543121	+	13.8042i	0.0352053	+	0.894793i
$239$	−21.9708			−1.42117			−0.710585	−	0.703611i	$-0.751570\pi$
$239$	−21.9708			−1.42117			−0.710585	+	0.703611i	$0.751570\pi$
$240$	1.62223	+	0.467312i	0.104715	+	0.0301648i
$241$	9.88742	−	17.1255i	0.636905	−	1.10315i	−0.349203	−	0.937047i	$-0.613548\pi$
$241$	9.88742	−	17.1255i	0.636905	−	1.10315i	0.986108	−	0.166105i	$-0.0531189\pi$
$242$	4.09453	−	8.28322i	0.263206	−	0.532466i
$243$	−4.84480	−	1.29816i	−0.310794	−	0.0832771i
$244$	0.191638	+	1.47711i	0.0122684	+	0.0945625i
$245$	15.3512	−	3.05629i	0.980752	−	0.195259i
$246$	0.260217	−	0.296158i	0.0165909	−	0.0188824i
$247$	−3.75680	−	1.00663i	−0.239039	−	0.0640504i
$248$	9.65722	+	3.30862i	0.613234	+	0.210098i
$249$	1.88322	+	1.08728i	0.119344	+	0.0689033i
$250$	3.78940	−	15.3506i	0.239662	−	0.970856i
$251$	−17.3578			−1.09562			−0.547808	−	0.836604i	$-0.684538\pi$
$251$	−17.3578			−1.09562			−0.547808	+	0.836604i	$0.684538\pi$
$252$	−9.88232	+	12.1816i	−0.622528	+	0.767366i
$253$	−13.1720	−	13.1720i	−0.828114	−	0.828114i
$254$	−0.464611	−	0.0928714i	−0.0291523	−	0.00582727i
$255$	1.11818	−	1.08533i	0.0700231	−	0.0679657i
$256$	−0.120464	+	15.9995i	−0.00752902	+	0.999972i
$257$	4.83881	−	18.0587i	0.301837	−	1.12647i	−0.633798	−	0.773499i	$-0.718505\pi$
$257$	4.83881	−	18.0587i	0.301837	−	1.12647i	0.935634	−	0.352971i	$-0.114829\pi$
$258$	−0.0320548	−	0.496217i	−0.00199565	−	0.0308931i
$259$	−4.32541	−	7.94754i	−0.268768	−	0.493836i
$260$	−13.1599	−	17.7600i	−0.816145	−	1.10143i
$261$	17.1654	−	9.91046i	1.06251	−	0.613442i
$262$	0.573190	−	1.15956i	0.0354118	−	0.0716379i
$263$	14.9563	−	4.00754i	0.922247	−	0.247115i	0.233701	−	0.972308i	$-0.424916\pi$
$263$	14.9563	−	4.00754i	0.922247	−	0.247115i	0.688545	+	0.725193i	$0.258250\pi$
$264$	−1.12561	−	0.0769687i	−0.0692765	−	0.00473710i
$265$	1.58327	+	2.83924i	0.0972597	+	0.174413i
$266$	−0.873246	−	2.81177i	−0.0535421	−	0.172401i
$267$	−0.736935	−	0.736935i	−0.0450997	−	0.0450997i
$268$	−3.25690	+	24.3838i	−0.198947	+	1.48948i
$269$	15.8495	−	27.4521i	0.966361	−	1.67379i	0.260450	−	0.965487i	$-0.416129\pi$
$269$	15.8495	−	27.4521i	0.966361	−	1.67379i	0.705912	−	0.708300i	$-0.250537\pi$
$270$	3.55557	−	0.176500i	0.216385	−	0.0107414i
$271$	22.0592	−	12.7359i	1.34000	−	0.773650i	0.353193	−	0.935550i	$-0.385096\pi$
$271$	22.0592	−	12.7359i	1.34000	−	0.773650i	0.986807	+	0.161901i	$0.0517624\pi$
$272$	12.7622	+	7.43246i	0.773822	+	0.450659i
$273$	−2.39949	+	0.578594i	−0.145224	+	0.0350181i
$274$	6.97133	+	6.12531i	0.421153	+	0.370043i
$275$	−0.315040	+	10.5622i	−0.0189976	+	0.636924i
$276$	1.27910	−	3.07167i	0.0769930	−	0.184893i
$277$	6.19081	+	23.1044i	0.371970	+	1.38821i	0.857722	+	0.514114i	$0.171879\pi$
$277$	6.19081	+	23.1044i	0.371970	+	1.38821i	−0.485752	+	0.874097i	$0.661454\pi$
$278$	−10.8065	+	7.20596i	−0.648130	+	0.432185i
$279$	10.6989			0.640528
$280$	6.05357	−	15.5998i	0.361770	−	0.932267i
$281$	−4.98057			−0.297116			−0.148558	−	0.988904i	$-0.547463\pi$
$281$	−4.98057			−0.297116			−0.148558	+	0.988904i	$0.547463\pi$
$282$	−1.00007	+	0.666864i	−0.0595533	+	0.0397112i
$283$	5.76153	+	21.5023i	0.342488	+	1.27818i	0.895520	+	0.445021i	$0.146804\pi$
$283$	5.76153	+	21.5023i	0.342488	+	1.27818i	−0.553033	+	0.833160i	$0.686529\pi$
$284$	−15.2347	−	6.34406i	−0.904016	−	0.376451i
$285$	−0.170322	+	0.285103i	−0.0100890	+	0.0168881i
$286$	11.0974	+	9.75066i	0.656203	+	0.576568i
$287$	−2.69265	−	2.83181i	−0.158942	−	0.167156i
$288$	5.31545	+	15.9043i	0.313216	+	0.937170i
$289$	−2.91660	+	1.68390i	−0.171565	+	0.0990529i
$290$	−14.1915	+	15.6741i	−0.833356	+	0.920413i
$291$	−1.63897	+	2.83878i	−0.0960783	+	0.166412i
$292$	−22.4294	−	2.99585i	−1.31258	−	0.175319i
$293$	5.92980	+	5.92980i	0.346423	+	0.346423i	0.858775	−	0.512353i	$-0.171226\pi$
$293$	5.92980	+	5.92980i	0.346423	+	0.346423i	−0.512353	+	0.858775i	$0.671226\pi$
$294$	−1.33978	−	1.30241i	−0.0781373	−	0.0759583i
$295$	3.85720	−	13.5820i	0.224575	−	0.790773i
$296$	−9.65055	−	0.659900i	−0.560927	−	0.0383559i
$297$	−2.29808	+	0.615768i	−0.133348	+	0.0357305i
$298$	0.492297	−	0.995915i	0.0285180	−	0.0576918i
$299$	−37.7296	+	21.7832i	−2.18196	+	1.25976i
$300$	−1.76581	+	0.666669i	−0.101949	+	0.0384902i
$301$	−4.92712	−	0.124112i	−0.283994	−	0.00715372i
$302$	0.0179355	+	0.277646i	0.00103207	+	0.0159767i
$303$	−0.736219	+	2.74761i	−0.0422947	+	0.157846i
$304$	−3.03720	−	0.826082i	−0.174195	−	0.0473790i
$305$	−1.15986	−	1.19497i	−0.0664135	−	0.0684239i
$306$	15.1783	+	3.03401i	0.867686	+	0.173443i
$307$	12.9774	+	12.9774i	0.740657	+	0.740657i	0.972704	−	0.232047i	$-0.0745424\pi$
$307$	12.9774	+	12.9774i	0.740657	+	0.740657i	−0.232047	+	0.972704i	$0.574542\pi$
$308$	−1.75919	+	11.0437i	−0.100239	+	0.629273i
$309$	2.57638			0.146565
$310$	−10.8643	+	3.49690i	−0.617050	+	0.198610i
$311$	−13.9863	−	8.07500i	−0.793091	−	0.457891i	0.0479586	−	0.998849i	$-0.484728\pi$
$311$	−13.9863	−	8.07500i	−0.793091	−	0.457891i	−0.841050	+	0.540958i	$0.818062\pi$
$312$	−0.855229	+	2.49625i	−0.0484178	+	0.141322i
$313$	14.4903	+	3.88266i	0.819040	+	0.219461i	0.643927	−	0.765087i	$-0.277304\pi$
$313$	14.4903	+	3.88266i	0.819040	+	0.219461i	0.175113	+	0.984548i	$0.443971\pi$
$314$	21.2114	−	24.1411i	1.19703	−	1.36236i
$315$	0.702950	−	17.5234i	0.0396067	−	0.987331i
$316$	−15.4618	+	2.00598i	−0.869793	+	0.112845i
$317$	−20.4316	−	5.47464i	−1.14756	−	0.307487i	−0.365570	−	0.930784i	$-0.619126\pi$
$317$	−20.4316	−	5.47464i	−1.14756	−	0.307487i	−0.781985	+	0.623297i	$0.785793\pi$
$318$	0.171965	−	0.347885i	0.00964333	−	0.0195084i
$319$	7.06541	−	12.2377i	0.395587	−	0.685177i
$320$	−10.5958	−	14.4128i	−0.592326	−	0.805699i
$321$	2.76286			0.154208
$322$	−29.1879	−	15.3545i	−1.62658	−	0.855670i
$323$	−2.05437	+	2.05437i	−0.114308	+	0.114308i
$324$	10.5429	+	13.7935i	0.585719	+	0.766306i
$325$	23.6700	+	7.10516i	1.31298	+	0.394124i
$326$	−0.865505	−	2.55760i	−0.0479359	−	0.141652i
$327$	1.55811	+	0.417494i	0.0861636	+	0.0230875i
$328$	−4.09944	+	0.803403i	−0.226353	+	0.0443605i
$329$	5.69540	+	10.4648i	0.313997	+	0.576941i
$330$	1.05980	−	0.684090i	0.0583400	−	0.0376579i
$331$	11.2693	+	19.5190i	0.619418	+	1.07286i	0.989592	+	0.143901i	$0.0459645\pi$
$331$	11.2693	+	19.5190i	0.619418	+	1.07286i	−0.370175	+	0.928962i	$0.620702\pi$
$332$	−8.77771	−	21.3046i	−0.481739	−	1.16924i
$333$	−9.79258	+	2.62391i	−0.536630	+	0.143790i
$334$	−25.8156	−	5.16031i	−1.41257	−	0.282360i
$335$	−13.3954	−	24.0216i	−0.731869	−	1.31244i
$336$	−1.94360	+	0.460929i	−0.106032	+	0.0251457i
$337$	10.7908	+	10.7908i	0.587814	+	0.587814i	0.937039	−	0.349225i	$-0.113555\pi$
$337$	10.7908	+	10.7908i	0.587814	+	0.587814i	−0.349225	+	0.937039i	$0.613555\pi$
$338$	13.4489	−	8.96797i	0.731523	−	0.487793i
$339$	−2.05243	−	1.18497i	−0.111473	−	0.0643589i
$340$	−16.4046	+	1.88006i	−0.889662	+	0.101961i
$341$	6.60564	−	3.81377i	0.357715	−	0.206527i
$342$	−3.29196	+	0.212655i	−0.178009	+	0.0114991i
$343$	−14.0469	+	12.0700i	−0.758463	+	0.651716i
$344$	−2.93965	+	4.37272i	−0.158495	+	0.235761i
$345$	0.909151	+	3.60728i	0.0489470	+	0.194210i
$346$	−3.92113	+	1.32693i	−0.210801	+	0.0713362i
$347$	18.1263	−	4.85692i	0.973069	−	0.260733i	0.262946	−	0.964811i	$-0.415306\pi$
$347$	18.1263	−	4.85692i	0.973069	−	0.260733i	0.710123	+	0.704078i	$0.248639\pi$
$348$	2.50184	+	0.334166i	0.134113	+	0.0179132i
$349$	−29.2818			−1.56742			−0.783708	−	0.621129i	$-0.786674\pi$
$349$	−29.2818			−1.56742			−0.783708	+	0.621129i	$0.786674\pi$
$350$	5.01362	+	18.0240i	0.267989	+	0.963422i
$351$			5.56426i			0.296998i
$352$	8.95110	+	7.92473i	0.477095	+	0.422389i
$353$	−6.37862	−	23.8053i	−0.339499	−	1.26703i	−0.898908	−	0.438137i	$-0.855638\pi$
$353$	−6.37862	−	23.8053i	−0.339499	−	1.26703i	0.559409	−	0.828892i	$-0.311028\pi$
$354$	−1.59651	+	0.540267i	−0.0848536	+	0.0287149i
$355$	17.8913	−	4.50918i	0.949571	−	0.239322i
$356$	1.42082	+	10.9514i	0.0753031	+	0.580424i
$357$	−0.521904	+	1.76838i	−0.0276221	+	0.0935927i
$358$	−1.82535	−	28.2569i	−0.0964726	−	1.49342i
$359$	−4.40379	−	7.62759i	−0.232423	−	0.402569i	0.726097	−	0.687592i	$-0.241332\pi$
$359$	−4.40379	−	7.62759i	−0.232423	−	0.402569i	−0.958521	+	0.285023i	$0.907999\pi$
$360$	−15.4015	−	10.6908i	−0.811732	−	0.563455i
$361$	−9.19041	+	15.9183i	−0.483706	+	0.837803i
$362$	−2.79186	+	1.86166i	−0.146737	+	0.0978467i
$363$	0.872006	−	0.872006i	0.0457685	−	0.0457685i
$364$	23.8837	+	10.6591i	1.25184	+	0.558687i
$365$	22.0962	−	12.3217i	1.15657	−	0.644949i
$366$	−0.0389662	+	0.194938i	−0.00203680	+	0.0101895i
$367$	5.85255	+	21.8420i	0.305501	+	1.14014i	0.932513	+	0.361135i	$0.117611\pi$
$367$	5.85255	+	21.8420i	0.305501	+	1.14014i	−0.627013	+	0.779009i	$0.715723\pi$
$368$	−30.5998	+	17.5136i	−1.59513	+	0.912958i
$369$	−3.79164	+	2.18910i	−0.197385	+	0.113960i
$370$	9.08631	−	5.86513i	0.472375	−	0.304913i
$371$	−3.28165	−	2.00650i	−0.170375	−	0.104173i
$372$	1.07933	+	0.831433i	0.0559607	+	0.0431078i
$373$	0.650309	−	2.42699i	0.0336717	−	0.125665i	−0.947044	−	0.321103i	$-0.895946\pi$
$373$	0.650309	−	2.42699i	0.0336717	−	0.125665i	0.980716	+	0.195439i	$0.0626130\pi$
$374$	10.4528	−	3.53727i	0.540500	−	0.182908i
$375$	1.13578	−	1.77853i	0.0586517	−	0.0918427i
$376$	12.7072	+	0.868910i	0.655322	+	0.0448106i
$377$	−23.3689	−	23.3689i	−1.20356	−	1.20356i
$378$	−3.56225	+	2.24788i	−0.183222	+	0.115619i
$379$		−	26.4355i		−	1.35790i	−0.734184	−	0.678950i	$-0.762435\pi$
$379$		−	26.4355i		−	1.35790i	0.734184	−	0.678950i	$-0.237565\pi$
$380$	3.27333	−	1.29190i	0.167918	−	0.0662732i
$381$	−0.0547636	−	0.0316178i	−0.00280562	−	0.00161983i
$382$	11.7078	+	5.78736i	0.599024	+	0.296107i
$383$	1.74726	−	6.52088i	0.0892810	−	0.333201i	−0.906809	−	0.421541i	$-0.861489\pi$
$383$	1.74726	−	6.52088i	0.0892810	−	0.333201i	0.996090	+	0.0883396i	$0.0281561\pi$
$384$	−0.699716	+	2.01753i	−0.0357072	+	0.102957i
$385$	−5.81242	−	11.0697i	−0.296228	−	0.564164i
$386$	−15.8693	+	18.0611i	−0.807724	+	0.919286i
$387$	−1.42926	+	5.33407i	−0.0726533	+	0.271146i
$388$	32.1148	−	13.2316i	1.63038	−	0.671734i
$389$	−1.23286	+	2.13538i	−0.0625085	+	0.108268i	−0.895586	−	0.444888i	$-0.853243\pi$
$389$	−1.23286	+	2.13538i	−0.0625085	+	0.108268i	0.833078	+	0.553156i	$0.186577\pi$
$390$	−0.903895	−	2.80825i	−0.0457705	−	0.142202i
$391$			32.5441i			1.64582i
$392$	2.82470	+	19.5965i	0.142669	+	0.989770i
$393$	0.122071	−	0.122071i	0.00615769	−	0.00615769i
$394$	2.20267	+	0.440293i	0.110969	+	0.0221817i
$395$	12.5084	−	12.1409i	0.629368	−	0.610876i
$396$	11.5669	+	4.81668i	0.581257	+	0.242047i
$397$	−18.8597	−	5.05344i	−0.946542	−	0.253625i	−0.247647	−	0.968850i	$-0.579657\pi$
$397$	−18.8597	−	5.05344i	−0.946542	−	0.253625i	−0.698894	+	0.715225i	$0.746324\pi$
$398$	3.41082	−	0.220333i	0.170969	−	0.0110443i
$399$	0.00989517	−	0.392827i	0.000495378	−	0.0196659i
$400$	19.1338	+	5.82211i	0.956691	+	0.291106i
$401$	−8.55254	−	14.8134i	−0.427093	−	0.739747i	0.569520	−	0.821977i	$-0.307129\pi$
$401$	−8.55254	−	14.8134i	−0.427093	−	0.739747i	−0.996613	+	0.0822300i	$0.973796\pi$
$402$	−1.45492	+	2.94330i	−0.0725649	+	0.146799i
$403$	−4.61707	−	17.2312i	−0.229993	−	0.858345i
$404$	23.9472	−	18.3038i	1.19142	−	0.910648i
$405$	−18.6721	−	5.30277i	−0.927825	−	0.263497i
$406$	5.52011	−	24.4015i	0.273958	−	1.21103i
$407$	−5.11072	+	5.11072i	−0.253329	+	0.253329i
$408$	1.29544	+	1.48561i	0.0641340	+	0.0735487i
$409$	11.7312	+	6.77301i	0.580070	+	0.334904i	0.761161	−	0.648563i	$-0.224630\pi$
$409$	11.7312	+	6.77301i	0.580070	+	0.334904i	−0.181091	+	0.983466i	$0.557963\pi$
$410$	3.13474	−	3.46222i	0.154814	−	0.170987i
$411$	0.619275	+	1.07262i	0.0305466	+	0.0529082i
$412$	−21.6271	−	16.6598i	−1.06549	−	0.820771i
$413$	3.91609	+	16.2404i	0.192698	+	0.799140i
$414$	−24.3902	+	27.7590i	−1.19871	+	1.36428i
$415$	22.1158	+	13.2121i	1.08562	+	0.648554i
$416$	23.3208	−	15.4242i	1.14340	−	0.756234i
$417$	−1.67445	+	0.448668i	−0.0819983	+	0.0219714i
$418$	−1.95669	+	1.30476i	−0.0957047	+	0.0638177i
$419$		−	11.1700i		−	0.545690i	−0.962058	−	0.272845i	$-0.912035\pi$
$419$		−	11.1700i		−	0.545690i	0.962058	−	0.272845i	$-0.0879645\pi$
$420$	1.43269	−	1.71317i	0.0699080	−	0.0835941i
$421$		−	27.5403i		−	1.34223i	−0.741351	−	0.671117i	$-0.765815\pi$
$421$		−	27.5403i		−	1.34223i	0.741351	−	0.671117i	$-0.234185\pi$
$422$	10.1777	+	15.2631i	0.495443	+	0.742996i
$423$	12.8942	−	3.45498i	0.626936	−	0.167987i
$424$	−3.69310	+	1.80829i	−0.179353	+	0.0878183i
$425$	13.4372	−	12.6588i	0.651801	−	0.614044i
$426$	−1.65459	−	1.45379i	−0.0801651	−	0.0704365i
$427$	1.88983	+	0.557747i	0.0914552	+	0.0269913i
$428$	−23.1925	−	17.8657i	−1.12105	−	0.863572i
$429$	0.985801	+	1.70746i	0.0475949	+	0.0824368i
$430$	−0.292066	−	5.88366i	−0.0140847	−	0.283735i
$431$	−6.53929	−	3.77546i	−0.314987	−	0.181858i	0.334169	−	0.942513i	$-0.391544\pi$
$431$	−6.53929	−	3.77546i	−0.314987	−	0.181858i	−0.649156	+	0.760655i	$0.724878\pi$
$432$	−0.0169518	+	4.50299i	−0.000815593	+	0.216650i
$433$	12.2871	−	12.2871i	0.590479	−	0.590479i	−0.347282	−	0.937761i	$-0.612895\pi$
$433$	12.2871	−	12.2871i	0.590479	−	0.590479i	0.937761	+	0.347282i	$0.112895\pi$
$434$	9.16617	−	9.91700i	0.439990	−	0.476031i
$435$	−2.46468	+	1.37440i	−0.118172	+	0.0658975i
$436$	−10.3797	−	13.5799i	−0.497097	−	0.650360i
$437$	−1.79513	−	6.69951i	−0.0858726	−	0.320481i
$438$	−2.70739	−	1.33831i	−0.129364	−	0.0639468i
$439$	1.84434	+	3.19449i	0.0880254	+	0.152464i	0.906676	−	0.421827i	$-0.138611\pi$
$439$	1.84434	+	3.19449i	0.0880254	+	0.152464i	−0.818651	+	0.574291i	$0.805278\pi$
$440$	−13.3199	−	1.11055i	−0.635004	−	0.0529433i
$441$	9.45738	+	18.4701i	0.450352	+	0.879531i
$442$	−1.66371	−	25.7547i	−0.0791347	−	1.22503i
$443$	−8.38128	−	2.24576i	−0.398207	−	0.106699i	0.0541576	−	0.998532i	$-0.482753\pi$
$443$	−8.38128	−	2.24576i	−0.398207	−	0.106699i	−0.452364	+	0.891833i	$0.649419\pi$
$444$	−1.19181	−	0.496292i	−0.0565606	−	0.0235530i
$445$	−8.59929	−	8.85960i	−0.407645	−	0.419985i
$446$	1.96288	−	9.81975i	0.0929450	−	0.464979i
$447$	0.104844	−	0.104844i	0.00495894	−	0.00495894i
$448$	19.2959	+	8.69883i	0.911644	+	0.410981i
$449$		−	5.00808i		−	0.236346i	−0.992993	−	0.118173i	$-0.962296\pi$
$449$		−	5.00808i		−	0.236346i	0.992993	−	0.118173i	$-0.0377037\pi$
$450$	20.9487	−	0.727010i	0.987530	−	0.0342716i
$451$	−1.56067	+	2.70315i	−0.0734889	+	0.127286i
$452$	9.56644	+	23.2189i	0.449967	+	1.09213i
$453$	−0.00961072	+	0.0358677i	−0.000451551	+	0.00168521i
$454$	15.0862	+	13.2554i	0.708032	+	0.622107i
$455$	−28.5256	+	6.43000i	−1.33730	+	0.301443i
$456$	−0.348626	−	0.234371i	−0.0163259	−	0.0109754i
$457$	−0.639740	+	2.38754i	−0.0299258	+	0.111684i	−0.979273	−	0.202544i	$-0.935079\pi$
$457$	−0.639740	+	2.38754i	−0.0299258	+	0.111684i	0.949347	+	0.314228i	$0.101746\pi$
$458$	5.02678	−	10.1692i	0.234886	−	0.475174i
$459$	3.59963	+	2.07825i	0.168016	+	0.0970043i
$460$	15.6943	−	36.1598i	0.731750	−	1.68596i
$461$			12.4266i			0.578766i	0.957213	+	0.289383i	$0.0934501\pi$
$461$			12.4266i			0.578766i	−0.957213	+	0.289383i	$0.906550\pi$
$462$	−0.694867	+	1.32090i	−0.0323281	+	0.0614538i
$463$	0.231232	+	0.231232i	0.0107462	+	0.0107462i	0.712459	−	0.701713i	$-0.247581\pi$
$463$	0.231232	+	0.231232i	0.0107462	+	0.0107462i	−0.701713	+	0.712459i	$0.747581\pi$
$464$	−18.8406	−	18.9830i	−0.874653	−	0.881263i
$465$	−1.52308	−	0.0227095i	−0.0706313	−	0.00105313i
$466$	−7.50322	−	22.1723i	−0.347580	−	1.02711i
$467$	3.74891	−	13.9911i	0.173479	−	0.647433i	−0.823327	−	0.567568i	$-0.807884\pi$
$467$	3.74891	−	13.9911i	0.173479	−	0.647433i	0.996806	−	0.0798648i	$-0.0254488\pi$
$468$	17.8828	−	23.2148i	0.826635	−	1.07310i
$469$	27.7646	+	16.9762i	1.28205	+	0.783887i
$470$	−11.9642	+	7.72278i	−0.551868	+	0.356225i
$471$	3.71438	−	2.14450i	0.171149	−	0.0988132i
$472$	16.8953	+	5.78843i	0.777669	+	0.266434i
$473$	1.01895	+	3.80279i	0.0468516	+	0.174852i
$474$	−2.04052	−	0.407881i	−0.0937242	−	0.0187346i
$475$	−2.06792	+	3.34714i	−0.0948827	+	0.153577i
$476$	15.8161	−	11.4697i	0.724929	−	0.525711i
$477$	−3.04741	+	3.04741i	−0.139531	+	0.139531i
$478$	17.2380	+	25.8511i	0.788447	+	1.18240i
$479$	1.76316	−	3.05388i	0.0805607	−	0.139535i	−0.822930	−	0.568142i	$-0.807662\pi$
$479$	1.76316	−	3.05388i	0.0805607	−	0.139535i	0.903491	+	0.428607i	$0.140996\pi$
$480$	−0.722940	−	2.27539i	−0.0329975	−	0.103857i
$481$	8.45188	+	14.6391i	0.385373	+	0.667485i
$482$	−27.9077	+	1.80279i	−1.27116	+	0.0821148i
$483$	−3.03308	−	3.18984i	−0.138010	−	0.145143i
$484$	−12.9587	+	1.68123i	−0.589031	+	0.0764197i
$485$	−19.9160	+	33.3376i	−0.904340	+	1.51378i
$486$	2.27374	+	6.71899i	0.103139	+	0.304779i
$487$	−2.11984	−	7.91133i	−0.0960589	−	0.358497i	0.901119	−	0.433572i	$-0.142747\pi$
$487$	−2.11984	−	7.91133i	−0.0960589	−	0.358497i	−0.997178	+	0.0750752i	$0.976080\pi$
$488$	1.58764	−	1.38441i	0.0718690	−	0.0626693i
$489$		−	0.360363i		−	0.0162962i
$490$	−15.6404	−	15.6645i	−0.706563	−	0.707650i
$491$	−29.3934			−1.32651			−0.663254	−	0.748395i	$-0.730825\pi$
$491$	−29.3934			−1.32651			−0.663254	+	0.748395i	$0.730825\pi$
$492$	−0.552627	−	0.0738133i	−0.0249144	−	0.00332776i
$493$	−23.8461	+	6.38955i	−1.07397	+	0.287771i
$494$	1.76312	+	5.21009i	0.0793265	+	0.234413i
$495$	−13.5838	+	3.42356i	−0.610547	+	0.153877i
$496$	−3.68397	−	13.9587i	−0.165415	−	0.626766i
$497$	−15.8208	+	15.0434i	−0.709662	+	0.674788i
$498$	−0.198245	−	3.06888i	−0.00888356	−	0.137520i
$499$	8.57724	−	4.95207i	0.383970	−	0.221685i	−0.295574	−	0.955320i	$-0.595511\pi$
$499$	8.57724	−	4.95207i	0.383970	−	0.221685i	0.679544	+	0.733635i	$0.262178\pi$
$500$	−21.0348	+	7.58523i	−0.940706	+	0.339222i
$501$	−3.04288	−	1.75681i	−0.135946	−	0.0784885i
$502$	13.6187	+	20.4235i	0.607834	+	0.911544i
$503$	3.98117	+	3.98117i	0.177512	+	0.177512i	0.790270	−	0.612759i	$-0.209940\pi$
$503$	3.98117	+	3.98117i	0.177512	+	0.177512i	−0.612759	+	0.790270i	$0.709940\pi$
$504$	22.0865	+	2.07019i	0.983813	+	0.0922134i
$505$	−9.20624	+	32.4170i	−0.409672	+	1.44254i
$506$	−5.16376	+	25.8329i	−0.229557	+	1.14841i
$507$	2.08389	−	0.558378i	0.0925489	−	0.0247984i
$508$	0.255254	+	0.619533i	0.0113251	+	0.0274873i
$509$	−0.318907	−	0.552364i	−0.0141353	−	0.0244831i	0.858871	−	0.512192i	$-0.171166\pi$
$509$	−0.318907	−	0.552364i	−0.0141353	−	0.0244831i	−0.873007	+	0.487708i	$0.837833\pi$
$510$	−2.15432	−	0.464134i	−0.0953949	−	0.0205522i
$511$	−15.6155	+	25.5392i	−0.690789	+	1.12979i
$512$	18.9198	−	12.4113i	0.836146	−	0.548508i
$513$	−0.855655	−	0.229272i	−0.0377781	−	0.0101226i
$514$	−25.0446	+	8.47521i	−1.10467	+	0.373826i
$515$	30.5188	+	0.455043i	1.34482	+	0.0200516i
$516$	−0.558707	+	0.427042i	−0.0245957	+	0.0187995i
$517$	6.72943	−	6.72943i	0.295960	−	0.295960i
$518$	−5.95752	+	11.3249i	−0.261759	+	0.497587i
$519$	−0.552484			−0.0242513
$520$	−10.5716	+	29.4185i	−0.463595	+	1.29009i
$521$	−9.53333	+	16.5122i	−0.417663	+	0.723413i	−0.995704	−	0.0925945i	$-0.970484\pi$
$521$	−9.53333	+	16.5122i	−0.417663	+	0.723413i	0.578041	+	0.816008i	$0.303817\pi$
$522$	−25.1286	−	12.4215i	−1.09985	−	0.543672i
$523$	−19.8989	−	5.33189i	−0.870117	−	0.233147i	−0.203979	−	0.978975i	$-0.565387\pi$
$523$	−19.8989	−	5.33189i	−0.870117	−	0.233147i	−0.666138	+	0.745828i	$0.732054\pi$
$524$	−1.81407	+	0.235355i	−0.0792482	+	0.0102815i
$525$	−0.137266	+	2.49311i	−0.00599078	+	0.108808i
$526$	−16.4499	−	14.4536i	−0.717249	−	0.630206i
$527$	−12.8716	−	3.44895i	−0.560698	−	0.150239i
$528$	0.792578	+	1.38480i	0.0344925	+	0.0602656i
$529$	−47.3648	−	27.3461i	−2.05934	−	1.18896i
$530$	2.09848	−	4.09054i	0.0911520	−	0.177682i
$531$	18.7178			0.812282
$532$	−2.62323	+	3.23355i	−0.113731	+	0.140192i
$533$	5.16192	+	5.16192i	0.223588	+	0.223588i
$534$	−0.288898	+	1.44528i	−0.0125018	+	0.0625433i
$535$	32.7278	+	0.487980i	1.41495	+	0.0210972i
$536$	31.2457	−	15.2992i	1.34961	−	0.660823i
$537$	0.978113	−	3.65037i	0.0422087	−	0.157525i
$538$	−44.7359	+	2.88987i	−1.92870	+	0.124591i
$539$	12.4230	+	8.03247i	0.535097	+	0.345983i
$540$	−2.99733	−	4.04506i	−0.128985	−	0.174072i
$541$	−14.4155	+	8.32277i	−0.619769	+	0.357824i	−0.776779	−	0.629773i	$-0.783148\pi$
$541$	−14.4155	+	8.32277i	−0.619769	+	0.357824i	0.157010	+	0.987597i	$0.449815\pi$
$542$	−32.2926	−	15.9627i	−1.38709	−	0.685659i
$543$	−0.432595	+	0.115914i	−0.0185644	+	0.00497433i
$544$	−1.26793	−	20.8476i	−0.0543621	−	0.893834i
$545$	18.3830	+	5.22067i	0.787442	+	0.223629i
$546$	2.56339	+	2.36932i	0.109703	+	0.101397i
$547$	7.65777	+	7.65777i	0.327423	+	0.327423i	0.851606	−	0.524183i	$-0.175629\pi$
$547$	7.65777	+	7.65777i	0.327423	+	0.327423i	−0.524183	+	0.851606i	$0.675629\pi$
$548$	1.73751	−	13.0084i	0.0742226	−	0.555692i
$549$	1.10385	−	1.91193i	0.0471114	−	0.0815993i
$550$	12.6748	−	7.91628i	0.540455	−	0.337551i
$551$	4.55651	−	2.63070i	0.194114	−	0.112072i
$552$	−4.61774	+	0.904979i	−0.196544	+	0.0385185i
$553$	−5.83825	+	19.7819i	−0.248267	+	0.841212i
$554$	22.3278	−	25.4117i	0.948616	−	1.07964i
$555$	1.39962	−	0.352750i	0.0594108	−	0.0149734i
$556$	16.9573	+	7.06135i	0.719148	+	0.299468i
$557$	1.57826	+	5.89015i	0.0668731	+	0.249574i	0.991268	−	0.131863i	$-0.0420960\pi$
$557$	1.57826	+	5.89015i	0.0668731	+	0.249574i	−0.924395	+	0.381437i	$0.875429\pi$
$558$	−8.39425	−	12.5885i	−0.355357	−	0.532915i
$559$	9.20757			0.389439
$560$	−23.1045	+	5.11670i	−0.976345	+	0.216220i
$561$	1.47278			0.0621810
$562$	3.90769	+	5.86021i	0.164836	+	0.247198i
$563$	−9.02695	−	33.6890i	−0.380441	−	1.41982i	−0.845230	−	0.534403i	$-0.820537\pi$
$563$	−9.02695	−	33.6890i	−0.380441	−	1.41982i	0.464789	−	0.885421i	$-0.346130\pi$
$564$	1.56928	+	0.653482i	0.0660788	+	0.0275166i
$565$	−24.1030	−	14.3992i	−1.01402	−	0.605781i
$566$	20.7795	−	23.6496i	0.873429	−	0.994066i
$567$	22.3269	−	5.38373i	0.937641	−	0.226095i
$568$	4.48848	+	22.9029i	0.188333	+	0.960984i
$569$	−9.26458	+	5.34891i	−0.388392	+	0.224238i	−0.681463	−	0.731853i	$-0.738656\pi$
$569$	−9.26458	+	5.34891i	−0.388392	+	0.224238i	0.293071	+	0.956091i	$0.405323\pi$
$570$	0.469089	−	0.0232857i	0.0196480	−	0.000975332i
$571$	−6.82175	+	11.8156i	−0.285482	+	0.494469i	−0.972726	−	0.231958i	$-0.925487\pi$
$571$	−6.82175	+	11.8156i	−0.285482	+	0.494469i	0.687244	+	0.726426i	$0.258820\pi$
$572$	2.76587	−	20.7076i	0.115647	−	0.865829i
$573$	1.23253	+	1.23253i	0.0514895	+	0.0514895i
$574$	−1.21933	+	5.39001i	−0.0508937	+	0.224975i
$575$	10.1323	+	42.8910i	0.422547	+	1.78868i
$576$	14.5428	−	18.7326i	0.605949	−	0.780523i
$577$	12.8696	−	3.44840i	0.535769	−	0.143559i	0.0192182	−	0.999815i	$-0.493882\pi$
$577$	12.8696	−	3.44840i	0.535769	−	0.143559i	0.516551	+	0.856256i	$0.327216\pi$
$578$	4.26963	+	2.11055i	0.177593	+	0.0877872i
$579$	−2.77890	+	1.60440i	−0.115487	+	0.0666765i
$580$	29.5769	+	4.40028i	1.22811	+	0.182712i
$581$	−30.4720	−	0.767580i	−1.26419	−	0.0318446i
$582$	4.62607	−	0.298837i	0.191757	−	0.0123872i
$583$	−0.795217	+	2.96779i	−0.0329345	+	0.122913i
$584$	14.0729	+	28.7413i	0.582341	+	1.18932i
$585$	−0.488448	+	32.7592i	−0.0201948	+	1.35443i
$586$	2.32464	−	11.6295i	0.0960299	−	0.480412i
$587$	24.2542	+	24.2542i	1.00108	+	1.00108i	0.999999	+	0.00107649i	$0.000342659\pi$
$587$	24.2542	+	24.2542i	1.00108	+	1.00108i	0.00107649	+	0.999999i	$0.499657\pi$
$588$	−0.481266	+	2.59826i	−0.0198471	+	0.107150i
$589$	2.84000			0.117020
$590$	−19.0071	+	6.11782i	−0.782509	+	0.251867i
$591$	0.259628	+	0.149896i	0.0106797	+	0.00616591i
$592$	6.79526	+	11.8727i	0.279283	+	0.487966i
$593$	−32.0951	−	8.59986i	−1.31799	−	0.353154i	−0.469765	−	0.882792i	$-0.655661\pi$
$593$	−32.0951	−	8.59986i	−1.31799	−	0.353154i	−0.848224	+	0.529638i	$0.822328\pi$
$594$	2.52757	+	2.22083i	0.103707	+	0.0911217i
$595$	−6.49461	+	20.8554i	−0.266253	+	0.854987i
$596$	−1.55806	+	0.202139i	−0.0638205	+	0.00827995i
$597$	0.440627	+	0.118066i	0.0180337	+	0.00483211i
$598$	55.2327	+	27.3024i	2.25863	+	1.11648i
$599$	−22.8594	+	39.5936i	−0.934009	+	1.61775i	−0.157618	+	0.987500i	$0.550381\pi$
$599$	−22.8594	+	39.5936i	−0.934009	+	1.61775i	−0.776391	+	0.630251i	$0.782952\pi$
$600$	2.16985	+	1.55462i	0.0885836	+	0.0634669i
$601$	−15.5546			−0.634486			−0.317243	−	0.948344i	$-0.602757\pi$
$601$	−15.5546			−0.634486			−0.317243	+	0.948344i	$0.602757\pi$
$602$	3.71973	+	5.89470i	0.151605	+	0.240250i
$603$	25.7828	−	25.7828i	1.04996	−	1.04996i
$604$	0.312610	−	0.238941i	0.0127199	−	0.00972236i
$605$	10.4835	−	10.1754i	0.426213	−	0.413690i
$606$	3.81050	−	1.28949i	0.154791	−	0.0523821i
$607$	33.3777	+	8.94353i	1.35476	+	0.363007i	0.861889	−	0.507096i	$-0.169281\pi$
$607$	33.3777	+	8.94353i	1.35476	+	0.363007i	0.492870	+	0.870103i	$0.335948\pi$
$608$	1.41097	+	4.22174i	0.0572223	+	0.171214i
$609$	1.74180	−	2.84872i	0.0705812	−	0.115436i
$610$	−0.496009	+	2.30227i	−0.0200828	+	0.0932162i
$611$	−11.1288	−	19.2757i	−0.450225	−	0.779812i
$612$	−8.33886	−	20.2395i	−0.337079	−	0.818132i
$613$	1.18217	−	0.316762i	0.0477475	−	0.0127939i	−0.234866	−	0.972028i	$-0.575465\pi$
$613$	1.18217	−	0.316762i	0.0477475	−	0.0127939i	0.282614	+	0.959234i	$0.408799\pi$
$614$	5.08747	−	25.4512i	0.205314	−	1.02713i
$615$	0.544418	−	0.303589i	0.0219530	−	0.0122419i
$616$	14.3744	−	6.59487i	0.579162	−	0.265715i
$617$	−6.37116	−	6.37116i	−0.256493	−	0.256493i	0.567133	−	0.823626i	$-0.308053\pi$
$617$	−6.37116	−	6.37116i	−0.256493	−	0.256493i	−0.823626	+	0.567133i	$0.808053\pi$
$618$	−2.02140	−	3.03140i	−0.0813125	−	0.121941i
$619$	−15.1283	−	8.73434i	−0.608058	−	0.351063i	0.164147	−	0.986436i	$-0.447513\pi$
$619$	−15.1283	−	8.73434i	−0.608058	−	0.351063i	−0.772205	+	0.635373i	$0.780846\pi$
$620$	12.6385	+	10.0395i	0.507574	+	0.403194i
$621$	−8.59337	+	4.96139i	−0.344840	+	0.199094i
$622$	1.47233	+	22.7920i	0.0590350	+	0.913878i
$623$	14.0113	+	4.13517i	0.561351	+	0.165672i
$624$	3.60812	−	0.952249i	0.144440	−	0.0381205i
$625$	13.7682	−	20.8671i	0.550727	−	0.834685i
$626$	−6.80051	−	20.0958i	−0.271803	−	0.803189i
$627$	−0.303187	+	0.0812387i	−0.0121081	+	0.00324436i
$628$	−45.0470	−	6.01683i	−1.79757	−	0.240098i
$629$	12.6271			0.503475
$630$	−21.1698	+	12.9215i	−0.843425	+	0.514806i
$631$		−	29.3764i		−	1.16946i	−0.811229	−	0.584728i	$-0.801201\pi$
$631$		−	29.3764i		−	1.16946i	0.811229	−	0.584728i	$-0.198799\pi$
$632$	14.4914	+	16.6187i	0.576437	+	0.661056i
$633$	0.633700	+	2.36500i	0.0251873	+	0.0940004i
$634$	9.58888	+	28.3355i	0.380823	+	1.12535i
$635$	−0.643123	−	0.384204i	−0.0255216	−	0.0152467i
$636$	−0.544248	+	0.0706097i	−0.0215809	+	0.00279986i
$637$	25.6658	−	23.2023i	1.01692	−	0.919308i
$638$	−19.9424	+	1.28825i	−0.789529	+	0.0510023i
$639$	12.2302	+	21.1833i	0.483818	+	0.837997i
$640$	−8.64491	+	23.7753i	−0.341720	+	0.939802i
$641$	−8.52622	+	14.7679i	−0.336766	+	0.583295i	−0.983822	−	0.179147i	$-0.942666\pi$
$641$	−8.52622	+	14.7679i	−0.336766	+	0.583295i	0.647057	+	0.762442i	$0.276000\pi$
$642$	−2.16771	−	3.25083i	−0.0855527	−	0.128300i
$643$	−16.6754	+	16.6754i	−0.657614	+	0.657614i	−0.954815	−	0.297201i	$-0.903947\pi$
$643$	−16.6754	+	16.6754i	−0.657614	+	0.657614i	0.297201	+	0.954815i	$0.403947\pi$
$644$	4.83418	+	46.3898i	0.190493	+	1.82801i
$645$	0.214789	−	0.756316i	0.00845731	−	0.0297799i
$646$	4.02903	+	0.805367i	0.158520	+	0.0316868i
$647$	5.30789	+	19.8093i	0.208675	+	0.778785i	0.988298	+	0.152536i	$0.0487440\pi$
$647$	5.30789	+	19.8093i	0.208675	+	0.778785i	−0.779623	+	0.626249i	$0.784589\pi$
$648$	7.95777	−	23.2272i	0.312611	−	0.912450i
$649$	11.5566	−	6.67218i	0.453635	−	0.261906i
$650$	−10.2112	−	33.4251i	−0.400516	−	1.31104i
$651$	1.58307	−	0.861577i	0.0620453	−	0.0337679i
$652$	−2.33025	+	3.02503i	−0.0912595	+	0.118469i
$653$	6.98982	−	26.0864i	0.273533	−	1.02084i	−0.683285	−	0.730151i	$-0.739450\pi$
$653$	6.98982	−	26.0864i	0.273533	−	1.02084i	0.956818	−	0.290687i	$-0.0938838\pi$
$654$	−0.731244	−	2.16085i	−0.0285939	−	0.0844961i
$655$	1.46757	−	1.42445i	0.0573427	−	0.0556579i
$656$	4.16166	+	4.19312i	0.162486	+	0.163714i
$657$	23.7163	+	23.7163i	0.925259	+	0.925259i
$658$	7.84444	−	14.9118i	0.305808	−	0.581323i
$659$			41.4810i			1.61587i	0.589272	+	0.807935i	$0.299415\pi$
$659$			41.4810i			1.61587i	−0.589272	+	0.807935i	$0.700585\pi$
$660$	−1.63642	−	0.710246i	−0.0636974	−	0.0276463i
$661$	−29.8156	−	17.2140i	−1.15969	−	0.669548i	−0.208462	−	0.978031i	$-0.566846\pi$
$661$	−29.8156	−	17.2140i	−1.15969	−	0.669548i	−0.951230	+	0.308482i	$0.900179\pi$
$662$	14.1246	−	28.5740i	0.548968	−	1.11056i
$663$	0.891501	−	3.32713i	0.0346230	−	0.129215i
$664$	−18.1804	+	27.0433i	−0.705537	+	1.04948i
$665$	0.186596	−	4.65153i	0.00723588	−	0.180378i
$666$	10.7705	+	9.46340i	0.417347	+	0.366699i
$667$	15.2537	−	56.9277i	0.590626	−	2.20425i
$668$	14.1829	+	34.4238i	0.548755	+	1.33190i
$669$	0.668255	−	1.15745i	0.0258362	−	0.0447497i
$670$	−17.7543	+	34.6083i	−0.685908	+	1.33703i
$671$		−	1.57393i		−	0.0607609i
$672$	2.06726	+	1.92523i	0.0797463	+	0.0742673i
$673$	−14.3950	+	14.3950i	−0.554887	+	0.554887i	−0.927847	−	0.372960i	$-0.878343\pi$
$673$	−14.3950	+	14.3950i	−0.554887	+	0.554887i	0.372960	+	0.927847i	$0.378343\pi$
$674$	4.23029	−	21.1630i	0.162945	−	0.815168i
$675$	5.39113	+	1.61829i	0.207505	+	0.0622878i
$676$	−21.1037	−	8.78801i	−0.811680	−	0.338000i
$677$	0.853942	+	0.228813i	0.0328197	+	0.00879400i	0.275192	−	0.961389i	$-0.411259\pi$
$677$	0.853942	+	0.228813i	0.0328197	+	0.00879400i	−0.242372	+	0.970183i	$0.577925\pi$
$678$	0.216058	+	3.34464i	0.00829767	+	0.128450i
$679$	1.15706	−	45.9339i	0.0444039	−	1.76278i
$680$	15.0829	+	17.8268i	0.578404	+	0.683625i
$681$	1.34014	+	2.32118i	0.0513541	+	0.0889479i
$682$	−9.67004	−	4.78005i	−0.370285	−	0.183038i
$683$	0.360924	+	1.34699i	0.0138104	+	0.0515410i	0.972487	−	0.232956i	$-0.0748400\pi$
$683$	0.360924	+	1.34699i	0.0138104	+	0.0515410i	−0.958677	+	0.284497i	$0.908173\pi$
$684$	2.83304	+	3.70652i	0.108324	+	0.141722i
$685$	7.14624	+	12.8152i	0.273044	+	0.489642i
$686$	25.2227	+	7.05788i	0.963009	+	0.269471i
$687$	1.07055	−	1.07055i	0.0408439	−	0.0408439i
$688$	7.45141	+	0.0280513i	0.284082	+	0.00106945i
$689$	6.22309	+	3.59290i	0.237081	+	0.136879i
$690$	3.53107	−	3.89995i	0.134426	−	0.148469i
$691$	17.7506	+	30.7450i	0.675265	+	1.16959i	0.976391	+	0.216009i	$0.0693041\pi$
$691$	17.7506	+	30.7450i	0.675265	+	1.16959i	−0.301126	+	0.953584i	$0.597363\pi$
$692$	4.63776	+	3.57257i	0.176301	+	0.135809i
$693$	12.0119	−	11.4216i	0.456293	−	0.433870i
$694$	−19.9364	−	17.5169i	−0.756774	−	0.664934i
$695$	−19.9142	+	5.01901i	−0.755387	+	0.190382i
$696$	−1.56973	−	3.20589i	−0.0595006	−	0.121519i
$697$	5.26732	−	1.41137i	0.199514	−	0.0534596i
$698$	22.9741	+	34.4533i	0.869583	+	1.30408i
$699$		−	3.12406i		−	0.118163i
$700$	17.2736	−	20.0405i	0.652882	−	0.757459i
$701$			17.7937i			0.672058i	0.941852	+	0.336029i	$0.109084\pi$
$701$			17.7937i			0.672058i	−0.941852	+	0.336029i	$0.890916\pi$
$702$	6.54699	−	4.36565i	0.247100	−	0.164771i
$703$	−2.59941	+	0.696509i	−0.0980385	+	0.0262693i
$704$	2.30143	−	16.7496i	0.0867382	−	0.631276i
$705$	−1.84293	+	0.464477i	−0.0694086	+	0.0174932i
$706$	−23.0051	+	26.1825i	−0.865808	+	0.985393i
$707$	−9.34679	−	38.7621i	−0.351522	−	1.45780i
$708$	1.88829	+	1.45459i	0.0709663	+	0.0546669i
$709$	−10.4662	−	18.1280i	−0.393067	−	0.680811i	0.599786	−	0.800161i	$-0.295252\pi$
$709$	−10.4662	−	18.1280i	−0.393067	−	0.680811i	−0.992852	+	0.119349i	$0.961919\pi$
$710$	−19.3428	−	17.5133i	−0.725924	−	0.657262i
$711$	20.0133	+	11.5547i	0.750556	+	0.433334i
$712$	11.7708	−	10.2641i	0.441131	−	0.384664i
$713$	22.4947	−	22.4947i	0.842435	−	0.842435i
$714$	2.49018	−	0.773371i	0.0931928	−	0.0289427i
$715$	11.3758	+	20.4000i	0.425432	+	0.762916i
$716$	−31.8153	+	24.3177i	−1.18899	+	0.908796i
$717$	1.07330	+	4.00561i	0.0400831	+	0.149592i
$718$	−5.51957	+	11.1661i	−0.205989	+	0.416715i
$719$	6.70601	+	11.6151i	0.250092	+	0.433172i	0.963551	−	0.267525i	$-0.0862059\pi$
$719$	6.70601	+	11.6151i	0.250092	+	0.433172i	−0.713459	+	0.700697i	$0.752873\pi$
$720$	−0.495089	+	26.5096i	−0.0184509	+	0.987953i
$721$	−31.7207	+	17.2639i	−1.18134	+	0.642939i
$722$	25.9403	−	1.67570i	0.965399	−	0.0623632i
$723$	−3.60526	−	0.966026i	−0.134081	−	0.0359269i
$724$	4.38091	+	1.82430i	0.162815	+	0.0677997i
$725$	−29.4384	+	15.8453i	−1.09331	+	0.588480i
$726$	−1.71018	−	0.341850i	−0.0634708	−	0.0126872i
$727$	−11.0502	+	11.0502i	−0.409830	+	0.409830i	−0.881679	−	0.471850i	$-0.843587\pi$
$727$	−11.0502	+	11.0502i	−0.409830	+	0.409830i	0.471850	+	0.881679i	$0.343587\pi$
$728$	−6.19721	−	36.4648i	−0.229684	−	1.35148i
$729$		−	25.0952i		−	0.929453i
$730$	−31.8344	−	16.3313i	−1.17824	−	0.604447i
$731$	3.43902	−	5.95656i	0.127197	−	0.220311i
$732$	0.259939	−	0.107097i	0.00960761	−	0.00395843i
$733$	4.94187	−	18.4433i	0.182532	−	0.681219i	−0.812613	−	0.582803i	$-0.801956\pi$
$733$	4.94187	−	18.4433i	0.182532	−	0.681219i	0.995145	−	0.0984159i	$-0.0313775\pi$
$734$	21.1078	−	24.0232i	0.779103	−	0.886712i
$735$	−1.30713	−	2.64945i	−0.0482143	−	0.0977266i
$736$	44.6150	+	22.2633i	1.64453	+	0.820636i
$737$	6.72798	−	25.1092i	0.247828	−	0.924908i
$738$	5.55060	+	2.74375i	0.204320	+	0.100999i
$739$	−14.0171	−	8.09276i	−0.515626	−	0.297697i	0.219517	−	0.975609i	$-0.429552\pi$
$739$	−14.0171	−	8.09276i	−0.515626	−	0.297697i	−0.735143	+	0.677912i	$0.762885\pi$
$740$	−14.0300	−	6.08938i	−0.515753	−	0.223850i
$741$			0.734096i			0.0269677i
$742$	0.213858	+	5.43551i	0.00785099	+	0.199544i
$743$	−24.5959	−	24.5959i	−0.902336	−	0.902336i	0.0933023	−	0.995638i	$-0.470258\pi$
$743$	−24.5959	−	24.5959i	−0.902336	−	0.902336i	−0.995638	+	0.0933023i	$0.970258\pi$
$744$	0.131445	−	1.92229i	0.00481902	−	0.0704745i
$745$	1.26046	−	1.22342i	0.0461795	−	0.0448227i
$746$	−3.36585	+	1.13902i	−0.123233	+	0.0417025i
$747$	−8.83934	+	32.9889i	−0.323414	+	1.20700i
$748$	−12.3631	−	9.52358i	−0.452040	−	0.348216i
$749$	−34.0167	+	18.5135i	−1.24294	+	0.676467i
$750$	−2.98376	+	0.0590303i	−0.108952	+	0.00215548i
$751$	24.0054	−	13.8595i	0.875969	−	0.505741i	0.00664199	−	0.999978i	$-0.497886\pi$
$751$	24.0054	−	13.8595i	0.875969	−	0.505741i	0.869327	+	0.494237i	$0.164552\pi$
$752$	−8.94752	−	15.6332i	−0.326282	−	0.570083i
$753$	0.847951	+	3.16460i	0.0309011	+	0.115324i
$754$	−9.16125	+	45.8312i	−0.333633	+	1.66907i
$755$	−0.120180	+	0.423177i	−0.00437379	+	0.0154010i
$756$	5.43979	+	2.42773i	0.197843	+	0.0882957i
$757$	−12.9796	+	12.9796i	−0.471750	+	0.471750i	−0.902480	−	0.430731i	$-0.858256\pi$
$757$	−12.9796	+	12.9796i	−0.471750	+	0.471750i	0.430731	+	0.902480i	$0.358256\pi$
$758$	−31.1044	+	20.7410i	−1.12976	+	0.753346i
$759$	−1.75798	+	3.04492i	−0.0638108	+	0.110523i
$760$	−4.08829	−	2.83784i	−0.148298	−	0.102939i
$761$	20.9620	+	36.3072i	0.759871	+	1.31613i	0.942916	+	0.333030i	$0.108071\pi$
$761$	20.9620	+	36.3072i	0.759871	+	1.31613i	−0.183045	+	0.983104i	$0.558596\pi$
$762$	0.00576492	+	0.0892425i	0.000208841	+	0.00323291i
$763$	−21.9812	+	5.30037i	−0.795772	+	0.191886i
$764$	−2.37632	−	18.3163i	−0.0859722	−	0.662660i
$765$	21.0101	+	12.5515i	0.759623	+	0.453801i
$766$	−9.04344	+	3.06035i	−0.326753	+	0.110575i
$767$	−8.07757	−	30.1459i	−0.291664	−	1.08850i
$768$	2.92285	−	0.759635i	0.105469	−	0.0274110i
$769$			11.5158i			0.415271i	0.978206	+	0.207636i	$0.0665769\pi$
$769$			11.5158i			0.415271i	−0.978206	+	0.207636i	$0.933423\pi$
$770$	−8.46442	+	15.5241i	−0.305037	+	0.559451i
$771$	−3.52876			−0.127085
$772$	33.7018	+	4.50148i	1.21295	+	0.162012i
$773$	10.8873	−	2.91724i	0.391588	−	0.104926i	−0.0576520	−	0.998337i	$-0.518361\pi$
$773$	10.8873	−	2.91724i	0.391588	−	0.104926i	0.449240	+	0.893411i	$0.351695\pi$
$774$	7.39752	−	2.50336i	0.265898	−	0.0899814i
$775$	−18.0378	−	0.538017i	−0.647938	−	0.0193261i
$776$	−40.7654	−	27.4054i	−1.46339	−	0.983796i
$777$	−1.23766	+	1.17684i	−0.0444007	+	0.0422187i
$778$	3.47980	−	0.224789i	0.124757	−	0.00805909i
$779$	−1.00648	+	0.581090i	−0.0360608	+	0.0208197i
$780$	−2.59505	+	3.26686i	−0.0929176	+	0.116972i
$781$	15.1021	+	8.71919i	0.540395	+	0.311997i
$782$	38.2918	−	25.5337i	1.36931	−	0.913082i
$783$	−5.32255	−	5.32255i	−0.190213	−	0.190213i
$784$	20.8412	−	18.6987i	0.744330	−	0.667812i
$785$	44.3778	−	24.7468i	1.58391	−	0.883252i
$786$	−0.239407	−	0.0478552i	−0.00853936	−	0.00170694i
$787$	16.3246	−	4.37416i	0.581908	−	0.155922i	0.0441558	−	0.999025i	$-0.485940\pi$
$787$	16.3246	−	4.37416i	0.581908	−	0.155922i	0.537752	+	0.843103i	$0.319274\pi$
$788$	−1.21013	−	2.93714i	−0.0431091	−	0.104631i
$789$	−1.46127	−	2.53099i	−0.0520226	−	0.0901058i
$790$	−24.0992	−	5.19200i	−0.857409	−	0.184723i
$791$	33.2101	+	0.836552i	1.18082	+	0.0297444i
$792$	−3.40785	−	17.3889i	−0.121093	−	0.617886i
$793$	−3.55562	−	0.952726i	−0.126264	−	0.0338323i
$794$	8.85114	+	26.1555i	0.314115	+	0.928223i
$795$	0.440292	−	0.427355i	0.0156156	−	0.0151567i
$796$	−2.93534	−	3.84035i	−0.104040	−	0.136118i
$797$	36.7645	−	36.7645i	1.30227	−	1.30227i	0.375407	−	0.926860i	$-0.377503\pi$
$797$	36.7645	−	36.7645i	1.30227	−	1.30227i	0.926860	−	0.375407i	$-0.122497\pi$
$798$	−0.469969	+	0.296564i	−0.0166367	+	0.0104983i
$799$	−16.6265			−0.588202
$800$	−8.16178	−	27.0811i	−0.288563	−	0.957461i
$801$	8.18405	−	14.1752i	0.289169	−	0.500855i
$802$	−10.7195	+	21.6855i	−0.378518	+	0.765741i
$803$	23.0966	+	6.18872i	0.815062	+	0.218395i
$804$	4.60465	−	0.597398i	0.162393	−	0.0210686i
$805$	−35.3653	−	38.3213i	−1.24646	−	1.35065i
$806$	−16.6519	+	18.9519i	−0.586539	+	0.667551i
$807$	−5.77921	−	1.54854i	−0.203438	−	0.0545110i
$808$	−40.3252	−	13.8156i	−1.41863	−	0.486033i
$809$	−16.4165	−	9.47808i	−0.577174	−	0.333231i	0.182836	−	0.983143i	$-0.441472\pi$
$809$	−16.4165	−	9.47808i	−0.577174	−	0.333231i	−0.760009	+	0.649912i	$0.774806\pi$
$810$	8.41061	+	26.1304i	0.295519	+	0.918128i
$811$	40.8098			1.43302			0.716512	−	0.697575i	$-0.245737\pi$
$811$	40.8098			1.43302			0.716512	+	0.697575i	$0.245737\pi$
$812$	−33.0422	+	12.6501i	−1.15955	+	0.443932i
$813$	−3.39956	−	3.39956i	−0.119228	−	0.119228i
$814$	10.0232	+	2.00354i	0.351311	+	0.0702239i
$815$	0.0636477	−	4.26872i	0.00222948	−	0.149527i
$816$	0.731602	−	2.68983i	0.0256112	−	0.0941629i
$817$	−0.379392	+	1.41591i	−0.0132733	+	0.0495365i
$818$	−1.23493	−	19.1171i	−0.0431784	−	0.668414i
$819$	−18.5312	−	34.0493i	−0.647533	−	1.18978i
$820$	−6.53317	−	0.971969i	−0.228148	−	0.0339426i
$821$	29.1133	−	16.8086i	1.01606	−	0.586624i	0.103101	−	0.994671i	$-0.467123\pi$
$821$	29.1133	−	16.8086i	1.01606	−	0.586624i	0.912961	+	0.408047i	$0.133790\pi$
$822$	0.776179	−	1.57021i	0.0270724	−	0.0547673i
$823$	17.7351	−	4.75211i	0.618208	−	0.165648i	0.0638949	−	0.997957i	$-0.479648\pi$
$823$	17.7351	−	4.75211i	0.618208	−	0.165648i	0.554313	+	0.832308i	$0.312981\pi$
$824$	−2.63383	+	38.5179i	−0.0917540	+	1.34183i
$825$	1.94104	−	0.458539i	0.0675782	−	0.0159643i
$826$	16.0362	−	17.3498i	0.557971	−	0.603676i
$827$	−24.2141	−	24.2141i	−0.842008	−	0.842008i	0.147112	−	0.989120i	$-0.453002\pi$
$827$	−24.2141	−	24.2141i	−0.842008	−	0.842008i	−0.989120	+	0.147112i	$0.953002\pi$
$828$	51.7979	+	6.91853i	1.80010	+	0.240436i
$829$	−4.27465	+	7.40391i	−0.148465	+	0.257148i	−0.930660	−	0.365885i	$-0.880766\pi$
$829$	−4.27465	+	7.40391i	−0.148465	+	0.257148i	0.782196	+	0.623033i	$0.214100\pi$
$830$	−1.80630	−	36.3878i	−0.0626976	−	1.26304i
$831$	3.90986	−	2.25736i	0.135632	−	0.0783069i
$832$	−36.4456	−	15.3379i	−1.26352	−	0.531747i
$833$	−5.42386	−	25.2697i	−0.187926	−	0.875544i
$834$	1.84167	+	1.61817i	0.0637717	+	0.0560325i
$835$	−35.7345	−	21.3479i	−1.23664	−	0.738775i
$836$	3.07039	+	1.27857i	0.106192	+	0.0442203i
$837$	−1.05159	−	3.92460i	−0.0363484	−	0.135654i
$838$	−13.1428	+	8.76384i	−0.454009	+	0.302742i
$839$	8.83480			0.305011			0.152506	−	0.988303i	$-0.451266\pi$
$839$	8.83480			0.305011			0.152506	+	0.988303i	$0.451266\pi$
$840$	−3.13981	−	0.341589i	−0.108334	−	0.0117859i
$841$	15.7076			0.541642
$842$	−32.4044	+	21.6078i	−1.11673	+	0.744655i
$843$	0.243307	+	0.908033i	0.00837993	+	0.0312743i
$844$	9.97347	−	23.9505i	0.343301	−	0.824409i
$845$	24.7836	−	6.24626i	0.852582	−	0.214878i
$846$	−14.1818	−	12.4607i	−0.487580	−	0.428409i
$847$	−4.89310	+	16.5794i	−0.168129	+	0.569675i
$848$	5.02522	+	2.92659i	0.172567	+	0.100500i
$849$	3.63875	−	2.10083i	0.124881	−	0.0721003i
$850$	−25.4373	−	5.87844i	−0.872491	−	0.201629i
$851$	−15.0723	+	26.1059i	−0.516671	+	0.894900i
$852$	−0.412383	+	3.08744i	−0.0141280	+	0.105774i
$853$	12.6557	+	12.6557i	0.433323	+	0.433323i	0.889757	−	0.456434i	$-0.150874\pi$
$853$	12.6557	+	12.6557i	0.433323	+	0.433323i	−0.456434	+	0.889757i	$0.650874\pi$
$854$	−0.826484	−	2.66120i	−0.0282817	−	0.0910644i
$855$	−5.01748	−	1.42493i	−0.171594	−	0.0487317i
$856$	−2.82448	+	41.3059i	−0.0965387	+	1.41181i
$857$	−8.44993	+	2.26415i	−0.288644	+	0.0773419i	−0.400236	−	0.916412i	$-0.631072\pi$
$857$	−8.44993	+	2.26415i	−0.288644	+	0.0773419i	0.111592	+	0.993754i	$0.464405\pi$
$858$	1.23557	−	2.49956i	0.0421817	−	0.0853335i
$859$	29.7627	−	17.1835i	1.01549	−	0.586293i	0.102695	−	0.994713i	$-0.467253\pi$
$859$	29.7627	−	17.1835i	1.01549	−	0.586293i	0.912794	+	0.408420i	$0.133920\pi$
$860$	−6.69364	+	4.95990i	−0.228251	+	0.169131i
$861$	−0.384742	+	0.629248i	−0.0131120	+	0.0214447i
$862$	0.688387	+	10.6564i	0.0234465	+	0.362959i
$863$	13.0750	−	48.7964i	0.445077	−	1.66105i	−0.270658	−	0.962676i	$-0.587241\pi$
$863$	13.0750	−	48.7964i	0.445077	−	1.66105i	0.715734	−	0.698373i	$-0.246092\pi$
$864$	5.31159	−	3.51305i	0.180704	−	0.119516i
$865$	−6.54450	−	0.0975802i	−0.222520	−	0.00331783i
$866$	−24.0974	−	4.81686i	−0.818864	−	0.163684i
$867$	0.449480	+	0.449480i	0.0152651	+	0.0152651i
$868$	−18.8602	−	3.00430i	−0.640155	−	0.101973i
$869$	16.4752			0.558883
$870$	3.55090	+	1.82164i	0.120387	+	0.0617593i
$871$	−52.6509	−	30.3980i	−1.78401	−	1.03000i
$872$	−7.83456	+	22.8675i	−0.265312	+	0.774393i
$873$	−49.7278	−	13.3245i	−1.68303	−	0.450967i
$874$	−6.47431	+	7.36853i	−0.218997	+	0.249244i
$875$	−2.06633	+	29.5081i	−0.0698548	+	0.997557i
$876$	0.549516	+	4.23558i	0.0185664	+	0.143107i
$877$	16.5892	+	4.44506i	0.560177	+	0.150099i	0.527788	−	0.849376i	$-0.323022\pi$
$877$	16.5892	+	4.44506i	0.560177	+	0.150099i	0.0323894	+	0.999475i	$0.489688\pi$
$878$	2.31163	−	4.67643i	0.0780139	−	0.157822i
$879$	0.791415	−	1.37077i	0.0266938	−	0.0462350i
$880$	9.14398	+	16.5438i	0.308244	+	0.557690i
$881$	−30.1789			−1.01675			−0.508377	−	0.861135i	$-0.669754\pi$
$881$	−30.1789			−1.01675			−0.508377	+	0.861135i	$0.669754\pi$
$882$	14.3121	−	25.6191i	0.481913	−	0.862642i
$883$	15.5342	−	15.5342i	0.522768	−	0.522768i	−0.395638	−	0.918406i	$-0.629477\pi$
$883$	15.5342	−	15.5342i	0.522768	−	0.522768i	0.918406	+	0.395638i	$0.129477\pi$
$884$	−28.9981	+	22.1644i	−0.975310	+	0.745469i
$885$	−2.66463	−	0.0397303i	−0.0895706	−	0.00133552i
$886$	3.93346	+	11.6235i	0.132147	+	0.390500i
$887$	−38.7481	−	10.3825i	−1.30103	−	0.348611i	−0.459192	−	0.888337i	$-0.651861\pi$
$887$	−38.7481	−	10.3825i	−1.30103	−	0.348611i	−0.841841	+	0.539726i	$0.818528\pi$
$888$	0.351131	+	1.79168i	0.0117832	+	0.0601248i
$889$	0.886121	+	0.0223211i	0.0297195	+	0.000748625i
$890$	−3.67744	+	17.0692i	−0.123268	+	0.572160i
$891$	−9.17273	−	15.8876i	−0.307298	−	0.532256i
$892$	−13.0941	+	5.39490i	−0.438423	+	0.180635i
$893$	3.42272	−	0.917114i	0.114537	−	0.0306901i
$894$	−0.205620	−	0.0411015i	−0.00687696	−	0.00137464i
$895$	12.2311	−	43.0681i	0.408840	−	1.43961i
$896$	−4.90413	−	29.5288i	−0.163835	−	0.986488i
$897$	5.81455	+	5.81455i	0.194142	+	0.194142i
$898$	−5.89258	+	3.92928i	−0.196638	+	0.131122i
$899$	20.8992	+	12.0661i	0.697026	+	0.402428i
$900$	−17.2915	−	24.0781i	−0.576383	−	0.802604i
$901$	4.64864	−	2.68389i	0.154869	−	0.0894135i
$902$	4.40505	−	0.284559i	0.146672	−	0.00947477i
$903$	0.218068	+	0.904352i	0.00725686	+	0.0300950i
$904$	19.8140	−	29.4733i	0.659005	−	0.980268i
$905$	−5.14483	+	1.29666i	−0.171020	+	0.0431025i
$906$	0.0497429	−	0.0168333i	0.00165260	−	0.000559247i
$907$	−50.2537	+	13.4654i	−1.66865	+	0.447112i	−0.964745	−	0.263185i	$-0.915227\pi$
$907$	−50.2537	+	13.4654i	−1.66865	+	0.447112i	−0.703901	+	0.710298i	$0.748560\pi$
$908$	3.76003	−	28.1507i	0.124781	−	0.934215i
$909$	−44.6750			−1.48178
$910$	29.9465	+	28.5188i	0.992716	+	0.945388i
$911$			5.09270i			0.168729i	0.996435	+	0.0843644i	$0.0268860\pi$
$911$			5.09270i			0.168729i	−0.996435	+	0.0843644i	$0.973114\pi$
$912$	−0.00223646	+	0.594083i	−7.40566e−5	+	0.0196720i
$913$	6.30178	+	23.5186i	0.208559	+	0.778351i
$914$	3.31115	−	1.12051i	0.109523	−	0.0370631i
$915$	−0.161201	+	0.269836i	−0.00532915	+	0.00892052i
$916$	−15.9091	+	2.06402i	−0.525653	+	0.0681972i
$917$	−0.684980	+	2.32094i	−0.0226200	+	0.0766441i
$918$	−0.378930	−	5.86594i	−0.0125066	−	0.193605i
$919$	10.2560	+	17.7639i	0.338313	+	0.585975i	0.984116	−	0.177529i	$-0.0568104\pi$
$919$	10.2560	+	17.7639i	0.338313	+	0.585975i	−0.645802	+	0.763505i	$0.723477\pi$
$920$	−54.8597	+	9.90444i	−1.80867	+	0.326540i
$921$	1.73201	−	2.99993i	0.0570717	−	0.0988511i
$922$	14.6214	−	9.74979i	0.481529	−	0.321092i
$923$	28.8388	−	28.8388i	0.949241	−	0.949241i
$924$	2.09937	−	0.218771i	0.0690643	−	0.00719705i
$925$	16.6417	−	3.93134i	0.547176	−	0.129262i
$926$	0.0906489	−	0.453492i	0.00297891	−	0.0149027i
$927$	10.4727	+	39.0847i	0.343969	+	1.28371i
$928$	−7.55355	+	37.0619i	−0.247958	+	1.21662i
$929$	8.67074	−	5.00605i	0.284478	−	0.164243i	−0.350971	−	0.936386i	$-0.614148\pi$
$929$	8.67074	−	5.00605i	0.284478	−	0.164243i	0.635449	+	0.772143i	$0.280815\pi$
$930$	1.16827	+	1.80990i	0.0383091	+	0.0593489i
$931$	2.51043	+	4.90284i	0.0822761	+	0.160684i
$932$	−20.2013	+	26.2245i	−0.661716	+	0.859013i
$933$	−0.788948	+	2.94439i	−0.0258290	+	0.0963951i
$934$	−19.4035	+	6.56625i	−0.634903	+	0.214854i
$935$	17.4460	+	0.260125i	0.570546	+	0.00850698i
$936$	−41.3455	−	2.82719i	−1.35142	−	0.0924095i
$937$	29.0201	+	29.0201i	0.948045	+	0.948045i	0.998715	−	0.0506708i	$-0.0161359\pi$
$937$	29.0201	+	29.0201i	0.948045	+	0.948045i	−0.0506708	+	0.998715i	$0.516136\pi$
$938$	−1.80936	−	45.9875i	−0.0590778	−	1.50155i
$939$		−	2.83148i		−	0.0924017i
$940$	18.4737	+	8.01806i	0.602546	+	0.261520i
$941$	15.4083	+	8.89596i	0.502295	+	0.290000i	0.729661	−	0.683809i	$-0.239678\pi$
$941$	15.4083	+	8.89596i	0.502295	+	0.290000i	−0.227366	+	0.973809i	$0.573011\pi$
$942$	−5.43750	−	2.68784i	−0.177163	−	0.0875747i
$943$	−3.36936	+	12.5746i	−0.109722	+	0.409487i
$944$	−6.44510	−	24.4208i	−0.209770	−	0.794829i
$945$	−6.49705	+	1.46451i	−0.211349	+	0.0476405i
$946$	3.67496	−	4.18254i	0.119483	−	0.135986i
$947$	−12.8258	+	47.8664i	−0.416782	+	1.55545i	0.364459	+	0.931220i	$0.381254\pi$
$947$	−12.8258	+	47.8664i	−0.416782	+	1.55545i	−0.781240	+	0.624231i	$0.785413\pi$
$948$	1.12105	+	2.72092i	0.0364099	+	0.0883715i
$949$	27.9616	−	48.4308i	0.907670	−	1.57213i
$950$	5.56076	−	0.192983i	0.180415	−	0.00626118i
$951$			3.99244i			0.129464i
$952$	−25.9045	−	9.61049i	−0.839569	−	0.311478i
$953$	7.97349	−	7.97349i	0.258287	−	0.258287i	−0.566070	−	0.824357i	$-0.691537\pi$
$953$	7.97349	−	7.97349i	0.258287	−	0.258287i	0.824357	+	0.566070i	$0.191537\pi$
$954$	5.97658	+	1.19466i	0.193499	+	0.0386787i
$955$	14.3823	+	14.8177i	0.465402	+	0.479490i
$956$	16.8921	−	40.5649i	0.546329	−	1.31196i
$957$	−2.57627	−	0.690308i	−0.0832788	−	0.0223145i
$958$	−4.97659	+	0.321479i	−0.160786	+	0.0103865i
$959$	−14.8120	−	9.05653i	−0.478304	−	0.292451i
$960$	−2.11005	+	2.63587i	−0.0681015	+	0.0850722i
$961$	−8.98694	−	15.5658i	−0.289901	−	0.502124i
$962$	10.5933	−	21.4303i	0.341542	−	0.690939i
$963$	11.2308	+	41.9138i	0.361906	+	1.35065i
$964$	24.0172	+	31.4221i	0.773543	+	1.01204i
$965$	−33.2011	+	18.5143i	−1.06878	+	0.595995i
$966$	−1.37349	+	6.07148i	−0.0441912	+	0.195347i
$967$	−3.77188	+	3.77188i	−0.121295	+	0.121295i	−0.765149	−	0.643853i	$-0.777335\pi$
$967$	−3.77188	+	3.77188i	−0.121295	+	0.121295i	0.643853	+	0.765149i	$0.277335\pi$
$968$	12.1454	+	13.9283i	0.390368	+	0.447672i
$969$	0.474901	+	0.274185i	0.0152560	+	0.00880808i
$970$	54.8514	−	2.72284i	1.76117	−	0.0874251i
$971$	1.77348	+	3.07176i	0.0569138	+	0.0985776i	0.893079	−	0.449901i	$-0.148541\pi$
$971$	1.77348	+	3.07176i	0.0569138	+	0.0985776i	−0.836165	+	0.548478i	$0.815207\pi$
$972$	6.12171	−	7.94695i	0.196354	−	0.254899i
$973$	17.6096	−	16.7443i	0.564539	−	0.536797i
$974$	−7.64539	+	8.70137i	−0.244974	+	0.278810i
$975$	0.139069	−	4.66251i	0.00445378	−	0.149320i
$976$	−2.87456	−	0.781846i	−0.0920124	−	0.0250263i
$977$	35.0232	−	9.38444i	1.12049	−	0.300235i	0.349410	−	0.936970i	$-0.386382\pi$
$977$	35.0232	−	9.38444i	1.12049	−	0.300235i	0.771083	+	0.636735i	$0.219716\pi$
$978$	−0.424009	+	0.282737i	−0.0135583	+	0.00904093i
$979$		−	11.6692i		−	0.372950i
$980$	−6.15979	+	30.6929i	−0.196767	+	0.980450i
$981$			25.3342i			0.808860i
$982$	23.0617	+	34.5848i	0.735930	+	1.10364i
$983$	−29.5057	+	7.90602i	−0.941085	+	0.252163i	−0.696575	−	0.717484i	$-0.745294\pi$
$983$	−29.5057	+	7.90602i	−0.941085	+	0.252163i	−0.244510	+	0.969647i	$0.578627\pi$
$984$	0.346735	+	0.708143i	0.0110535	+	0.0225748i
$985$	3.04898	+	1.82147i	0.0971485	+	0.0580368i
$986$	26.2274	+	23.0445i	0.835251	+	0.733887i
$987$	1.62966	−	1.54957i	0.0518726	−	0.0493235i
$988$	4.74694	−	6.16229i	0.151020	−	0.196048i
$989$	8.20995	+	14.2200i	0.261061	+	0.452171i
$990$	14.6859	+	13.2968i	0.466749	+	0.422601i
$991$	−36.1634	−	20.8790i	−1.14877	−	0.663242i	−0.200182	−	0.979759i	$-0.564153\pi$
$991$	−36.1634	−	20.8790i	−1.14877	−	0.663242i	−0.948587	+	0.316516i	$0.897487\pi$
$992$	−13.5336	+	15.2865i	−0.429694	+	0.485346i
$993$	3.00810	−	3.00810i	0.0954591	−	0.0954591i
$994$	30.1131	+	6.81218i	0.955130	+	0.216069i
$995$	5.19865	+	1.47638i	0.164808	+	0.0468045i
$996$	−3.45535	+	2.64107i	−0.109487	+	0.0836854i
$997$	13.1260	+	48.9867i	0.415703	+	1.55143i	0.783423	+	0.621489i	$0.213472\pi$
$997$	13.1260	+	48.9867i	0.415703	+	1.55143i	−0.367720	+	0.929937i	$0.619861\pi$
$998$	−12.5563	−	6.20677i	−0.397462	−	0.196472i
$999$	1.92502	+	3.33423i	0.0609048	+	0.105490i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.br.a.67.15	✓	176
5.3	odd	4	inner	280.2.br.a.123.9	yes	176
7.2	even	3	inner	280.2.br.a.107.16	yes	176
8.3	odd	2	inner	280.2.br.a.67.38	yes	176
35.23	odd	12	inner	280.2.br.a.163.38	yes	176
40.3	even	4	inner	280.2.br.a.123.16	yes	176
56.51	odd	6	inner	280.2.br.a.107.9	yes	176
280.163	even	12	inner	280.2.br.a.163.15	yes	176

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.br.a.67.15	✓	176	1.1	even	1	trivial
280.2.br.a.67.38	yes	176	8.3	odd	2	inner
280.2.br.a.107.9	yes	176	56.51	odd	6	inner
280.2.br.a.107.16	yes	176	7.2	even	3	inner
280.2.br.a.123.9	yes	176	5.3	odd	4	inner
280.2.br.a.123.16	yes	176	40.3	even	4	inner
280.2.br.a.163.15	yes	176	280.163	even	12	inner
280.2.br.a.163.38	yes	176	35.23	odd	12	inner

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:	\( N \)	\(=\)	\( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	280.br (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.784588 - 1.17661i) q^{2} +(-0.0488512 - 0.182315i) q^{3} +(-0.768843 + 1.84632i) q^{4} +(-0.546472 - 2.16826i) q^{5} +(-0.176187 + 0.200521i) q^{6} +(1.82312 + 1.91735i) q^{7} +(2.77563 - 0.543964i) q^{8} +(2.56722 - 1.48219i) q^{9} +O(q^{10})\)	\(q+(-0.784588 - 1.17661i) q^{2} +(-0.0488512 - 0.182315i) q^{3} +(-0.768843 + 1.84632i) q^{4} +(-0.546472 - 2.16826i) q^{5} +(-0.176187 + 0.200521i) q^{6} +(1.82312 + 1.91735i) q^{7} +(2.77563 - 0.543964i) q^{8} +(2.56722 - 1.48219i) q^{9} +(-2.12246 + 2.34418i) q^{10} +(1.05669 - 1.83024i) q^{11} +(0.374170 + 0.0499771i) q^{12} +(-3.49501 - 3.49501i) q^{13} +(0.825575 - 3.64944i) q^{14} +(-0.368612 + 0.205553i) q^{15} +(-2.81776 - 2.83905i) q^{16} +(-3.56637 + 0.955607i) q^{17} +(-3.75818 - 1.85773i) q^{18} +(0.681461 - 0.393442i) q^{19} +(4.42345 + 0.658096i) q^{20} +(0.260500 - 0.426048i) q^{21} +(-2.98255 + 0.192668i) q^{22} +(2.28131 - 8.51398i) q^{23} +(-0.234766 - 0.479466i) q^{24} +(-4.40274 + 2.36979i) q^{25} +(-1.37014 + 6.85442i) q^{26} +(-0.796030 - 0.796030i) q^{27} +(-4.94172 + 1.89192i) q^{28} +6.68638 q^{29} +(0.531065 + 0.272440i) q^{30} +(3.12563 + 1.80459i) q^{31} +(-1.12969 + 5.54290i) q^{32} +(-0.385301 - 0.103241i) q^{33} +(3.92251 + 3.44649i) q^{34} +(3.16103 - 5.00079i) q^{35} +(0.762792 + 5.87947i) q^{36} +(-3.30342 - 0.885149i) q^{37} +(-0.997596 - 0.493128i) q^{38} +(-0.466458 + 0.807929i) q^{39} +(-2.69626 - 5.72103i) q^{40} -1.47694 q^{41} +(-0.705679 + 0.0277647i) q^{42} +(-1.31725 + 1.31725i) q^{43} +(2.56677 + 3.35814i) q^{44} +(-4.61669 - 4.75644i) q^{45} +(-11.8076 + 3.99574i) q^{46} +(4.34971 + 1.16550i) q^{47} +(-0.379952 + 0.652412i) q^{48} +(-0.352432 + 6.99112i) q^{49} +(6.24266 + 3.32101i) q^{50} +(0.348443 + 0.603522i) q^{51} +(9.14000 - 3.76577i) q^{52} +(-1.40429 + 0.376278i) q^{53} +(-0.312065 + 1.56118i) q^{54} +(-4.54589 - 1.29101i) q^{55} +(6.10328 + 4.33012i) q^{56} +(-0.105021 - 0.105021i) q^{57} +(-5.24605 - 7.86729i) q^{58} +(5.46829 + 3.15712i) q^{59} +(-0.0961100 - 0.838611i) q^{60} +(0.644970 - 0.372373i) q^{61} +(-0.329033 - 5.09352i) q^{62} +(7.52224 + 2.22004i) q^{63} +(7.40821 - 3.01968i) q^{64} +(-5.66818 + 9.48802i) q^{65} +(0.180827 + 0.534352i) q^{66} +(11.8811 - 3.18352i) q^{67} +(0.977631 - 7.31936i) q^{68} -1.66367 q^{69} +(-8.36411 + 0.204252i) q^{70} +8.25143i q^{71} +(6.31940 - 5.51048i) q^{72} +(2.92836 + 10.9288i) q^{73} +(1.55035 + 4.58133i) q^{74} +(0.647128 + 0.686919i) q^{75} +(0.202481 + 1.56069i) q^{76} +(5.43567 - 1.31071i) q^{77} +(1.31660 - 0.0850501i) q^{78} +(3.89784 + 6.75126i) q^{79} +(-4.61599 + 7.66111i) q^{80} +(4.34032 - 7.51766i) q^{81} +(1.15879 + 1.73779i) q^{82} +(-8.14658 + 8.14658i) q^{83} +(0.586336 + 0.808529i) q^{84} +(4.02093 + 7.21063i) q^{85} +(2.58339 + 0.516395i) q^{86} +(-0.326638 - 1.21903i) q^{87} +(1.93739 - 5.65486i) q^{88} +(4.78185 - 2.76080i) q^{89} +(-1.97430 + 9.16391i) q^{90} +(0.329304 - 13.0730i) q^{91} +(13.9655 + 10.7579i) q^{92} +(0.176312 - 0.658007i) q^{93} +(-2.04138 - 6.03237i) q^{94} +(-1.22549 - 1.26258i) q^{95} +(1.06574 - 0.0648174i) q^{96} +(-12.2803 - 12.2803i) q^{97} +(8.50237 - 5.07047i) q^{98} -6.26484i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8}+O(q^{10}) \) 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8	\( 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8} - 2 q^{10} - 8 q^{11} - 14 q^{12} + 4 q^{16} - 4 q^{17} - 16 q^{18} + 8 q^{20} - 4 q^{25} - 20 q^{26} - 40 q^{27} - 34 q^{28} - 12 q^{30} + 18 q^{32} + 20 q^{33} - 32 q^{35} - 48 q^{36} - 16 q^{38} - 22 q^{40} - 32 q^{41} + 30 q^{42} - 16 q^{43} + 20 q^{46} + 36 q^{48} + 68 q^{50} - 8 q^{51} - 32 q^{52} - 52 q^{56} - 40 q^{57} - 14 q^{58} - 50 q^{60} + 56 q^{62} - 4 q^{65} - 60 q^{66} - 28 q^{67} - 40 q^{68} + 64 q^{70} - 48 q^{72} - 4 q^{73} - 4 q^{75} - 144 q^{76} + 184 q^{78} - 40 q^{80} + 32 q^{81} + 74 q^{82} - 16 q^{83} - 56 q^{86} - 64 q^{88} - 56 q^{90} + 16 q^{91} + 44 q^{92} - 104 q^{96} - 48 q^{97} + 70 q^{98}+O(q^{100}) \) 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8 - 2 * q^10 - 8 * q^11 - 14 * q^12 + 4 * q^16 - 4 * q^17 - 16 * q^18 + 8 * q^20 - 4 * q^25 - 20 * q^26 - 40 * q^27 - 34 * q^28 - 12 * q^30 + 18 * q^32 + 20 * q^33 - 32 * q^35 - 48 * q^36 - 16 * q^38 - 22 * q^40 - 32 * q^41 + 30 * q^42 - 16 * q^43 + 20 * q^46 + 36 * q^48 + 68 * q^50 - 8 * q^51 - 32 * q^52 - 52 * q^56 - 40 * q^57 - 14 * q^58 - 50 * q^60 + 56 * q^62 - 4 * q^65 - 60 * q^66 - 28 * q^67 - 40 * q^68 + 64 * q^70 - 48 * q^72 - 4 * q^73 - 4 * q^75 - 144 * q^76 + 184 * q^78 - 40 * q^80 + 32 * q^81 + 74 * q^82 - 16 * q^83 - 56 * q^86 - 64 * q^88 - 56 * q^90 + 16 * q^91 + 44 * q^92 - 104 * q^96 - 48 * q^97 + 70 * q^98

Introduction

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