LMFDB - Embedded newform 273.2.cd.d.86.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [273,2,Mod(44,273)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(273, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 4, 9]))

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

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

chi := DirichletCharacter("273.44");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 273 = 3 \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	273.cd (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:	$2.17991597518$
Analytic rank:	$0$
Dimension:	$8$
Relative dimension:	$2$ over $\Q(\zeta_{12})$
Coefficient field:	$\Q(\zeta_{24})$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{8} - x^{4} + 1 $ x^8 - x^4 + 1
Coefficient ring:	$\Z[a_1, a_2]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			86.2
Root			$-0.965926 + 0.258819i$ of defining polynomial
Character	$\chi$	$=$	273.86
Dual form			273.2.cd.d.200.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.258819 + 0.965926i) q^{2} +(1.10721 + 1.33195i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-0.883663 - 3.29788i) q^{5} +(-1.00000 + 1.41421i) q^{6} +(1.15539 - 2.38014i) q^{7} +(2.12132 + 2.12132i) q^{8} +(-0.548188 + 2.94949i) q^{9} +O(q^{10})$	\(q+(0.258819 + 0.965926i) q^{2} +(1.10721 + 1.33195i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-0.883663 - 3.29788i) q^{5} +(-1.00000 + 1.41421i) q^{6} +(1.15539 - 2.38014i) q^{7} +(2.12132 + 2.12132i) q^{8} +(-0.548188 + 2.94949i) q^{9} +(2.95680 - 1.70711i) q^{10} +(-0.0444063 + 0.165727i) q^{11} +(1.62484 + 0.599900i) q^{12} +(2.00000 + 3.00000i) q^{13} +(2.59808 + 0.500000i) q^{14} +(3.41421 - 4.82843i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-1.91421 - 3.31552i) q^{17} +(-2.99087 + 0.233875i) q^{18} +(-4.49818 + 1.20528i) q^{19} +(-2.41421 - 2.41421i) q^{20} +(4.44949 - 1.09638i) q^{21} -0.171573 q^{22} +(-4.70711 + 8.15295i) q^{23} +(-0.476756 + 5.17423i) q^{24} +(-5.76500 + 3.32843i) q^{25} +(-2.38014 + 2.70831i) q^{26} +(-4.53553 + 2.53553i) q^{27} +(-0.189469 - 2.63896i) q^{28} -1.00000i q^{29} +(5.54757 + 2.04819i) q^{30} +(1.24969 - 4.66390i) q^{31} +(4.82963 + 1.29410i) q^{32} +(-0.269907 + 0.124347i) q^{33} +(2.70711 - 2.70711i) q^{34} +(-8.87039 - 1.70711i) q^{35} +(1.00000 + 2.82843i) q^{36} +(-1.03528 - 3.86370i) q^{37} +(-2.32843 - 4.03295i) q^{38} +(-1.78144 + 5.98552i) q^{39} +(5.12132 - 8.87039i) q^{40} +(-4.00000 + 4.00000i) q^{41} +(2.21063 + 4.01411i) q^{42} +6.00000i q^{43} +(0.0444063 + 0.165727i) q^{44} +(10.2115 - 0.798499i) q^{45} +(-9.09343 - 2.43658i) q^{46} +(10.2937 - 2.75820i) q^{47} +(-1.70711 + 0.292893i) q^{48} +(-4.33013 - 5.50000i) q^{49} +(-4.70711 - 4.70711i) q^{50} +(2.29668 - 6.22060i) q^{51} +(3.23205 + 1.59808i) q^{52} +(2.30090 - 1.32843i) q^{53} +(-3.62302 - 3.72474i) q^{54} +0.585786 q^{55} +(7.50000 - 2.59808i) q^{56} +(-6.58579 - 4.65685i) q^{57} +(0.965926 - 0.258819i) q^{58} +(-1.93733 + 7.23023i) q^{59} +(0.542582 - 5.88865i) q^{60} +(0.500000 - 0.866025i) q^{61} +4.82843 q^{62} +(6.38682 + 4.71259i) q^{63} +7.00000i q^{64} +(8.12630 - 9.24674i) q^{65} +(-0.189967 - 0.228527i) q^{66} +(0.902057 - 3.36652i) q^{67} +(-3.31552 - 1.91421i) q^{68} +(-16.0711 + 2.75736i) q^{69} +(-0.646887 - 9.00997i) q^{70} +(-7.53553 + 7.53553i) q^{71} +(-7.41970 + 5.09393i) q^{72} +(-6.92721 - 1.85614i) q^{73} +(3.46410 - 2.00000i) q^{74} +(-10.8164 - 3.99345i) q^{75} +(-3.29289 + 3.29289i) q^{76} +(0.343146 + 0.297173i) q^{77} +(-6.24264 - 0.171573i) q^{78} +(0.707107 - 1.22474i) q^{79} +(3.29788 + 0.883663i) q^{80} +(-8.39898 - 3.23375i) q^{81} +(-4.89898 - 2.82843i) q^{82} +(11.0711 - 11.0711i) q^{83} +(3.30518 - 3.17423i) q^{84} +(-9.24264 + 9.24264i) q^{85} +(-5.79555 + 1.55291i) q^{86} +(1.33195 - 1.10721i) q^{87} +(-0.445759 + 0.257359i) q^{88} +(4.33245 - 1.16088i) q^{89} +(3.41421 + 9.65685i) q^{90} +(9.45121 - 1.29410i) q^{91} +9.41421i q^{92} +(7.59575 - 3.49938i) q^{93} +(5.32843 + 9.22911i) q^{94} +(7.94975 + 13.7694i) q^{95} +(3.62372 + 7.86566i) q^{96} +(-7.00000 - 7.00000i) q^{97} +(4.19187 - 5.60609i) q^{98} +(-0.464466 - 0.221825i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 8 q + 4 q^{3} + 4 q^{5} - 8 q^{6}+O(q^{10}) $ 8 * q + 4 * q^3 + 4 * q^5 - 8 * q^6	$ 8 q + 4 q^{3} + 4 q^{5} - 8 q^{6} - 8 q^{11} + 4 q^{12} + 16 q^{13} + 16 q^{15} - 4 q^{16} - 4 q^{17} - 8 q^{18} - 16 q^{19} - 8 q^{20} + 16 q^{21} - 24 q^{22} - 32 q^{23} - 8 q^{27} + 4 q^{30} - 8 q^{31} + 16 q^{33} + 16 q^{34} + 8 q^{36} + 4 q^{38} + 20 q^{39} + 24 q^{40} - 32 q^{41} + 20 q^{42} + 8 q^{44} + 12 q^{45} - 4 q^{46} + 16 q^{47} - 8 q^{48} - 32 q^{50} + 12 q^{51} + 12 q^{52} + 16 q^{55} + 60 q^{56} - 64 q^{57} + 24 q^{59} - 8 q^{60} + 4 q^{61} + 16 q^{62} - 8 q^{63} + 20 q^{65} - 4 q^{66} - 24 q^{67} - 72 q^{69} - 16 q^{70} - 32 q^{71} - 24 q^{72} + 8 q^{73} + 12 q^{75} - 32 q^{76} + 48 q^{77} - 16 q^{78} + 4 q^{80} - 28 q^{81} + 32 q^{83} - 40 q^{85} - 4 q^{87} + 24 q^{89} + 16 q^{90} + 16 q^{93} + 20 q^{94} + 24 q^{95} - 20 q^{96} - 56 q^{97} - 32 q^{99}+O(q^{100}) $ 8 * q + 4 * q^3 + 4 * q^5 - 8 * q^6 - 8 * q^11 + 4 * q^12 + 16 * q^13 + 16 * q^15 - 4 * q^16 - 4 * q^17 - 8 * q^18 - 16 * q^19 - 8 * q^20 + 16 * q^21 - 24 * q^22 - 32 * q^23 - 8 * q^27 + 4 * q^30 - 8 * q^31 + 16 * q^33 + 16 * q^34 + 8 * q^36 + 4 * q^38 + 20 * q^39 + 24 * q^40 - 32 * q^41 + 20 * q^42 + 8 * q^44 + 12 * q^45 - 4 * q^46 + 16 * q^47 - 8 * q^48 - 32 * q^50 + 12 * q^51 + 12 * q^52 + 16 * q^55 + 60 * q^56 - 64 * q^57 + 24 * q^59 - 8 * q^60 + 4 * q^61 + 16 * q^62 - 8 * q^63 + 20 * q^65 - 4 * q^66 - 24 * q^67 - 72 * q^69 - 16 * q^70 - 32 * q^71 - 24 * q^72 + 8 * q^73 + 12 * q^75 - 32 * q^76 + 48 * q^77 - 16 * q^78 + 4 * q^80 - 28 * q^81 + 32 * q^83 - 40 * q^85 - 4 * q^87 + 24 * q^89 + 16 * q^90 + 16 * q^93 + 20 * q^94 + 24 * q^95 - 20 * q^96 - 56 * q^97 - 32 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/273\mathbb{Z}\right)^\times$.

$n$	$92$	$106$	$157$
$\chi(n)$	$-1$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{1}{3}\right)$

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 $

$2$	0.258819	+	0.965926i	0.183013	+	0.683013i	0.995047	+	0.0994033i	$0.0316934\pi$
$2$	0.258819	+	0.965926i	0.183013	+	0.683013i	−0.812035	+	0.583609i	$0.801640\pi$
$3$	1.10721	+	1.33195i	0.639246	+	0.769002i
$3$	1.10721	+	1.33195i	0.639246	+	0.769002i
$4$	0.866025	−	0.500000i	0.433013	−	0.250000i
$5$	−0.883663	−	3.29788i	−0.395186	−	1.47486i	−0.821463	−	0.570262i	$-0.806842\pi$
$5$	−0.883663	−	3.29788i	−0.395186	−	1.47486i	0.426276	−	0.904593i	$-0.359825\pi$
$6$	−1.00000	+	1.41421i	−0.408248	+	0.577350i
$7$	1.15539	−	2.38014i	0.436698	−	0.899608i
$7$	1.15539	−	2.38014i	0.436698	−	0.899608i
$8$	2.12132	+	2.12132i	0.750000	+	0.750000i
$9$	−0.548188	+	2.94949i	−0.182729	+	0.983163i
$10$	2.95680	−	1.70711i	0.935021	−	0.539835i
$11$	−0.0444063	+	0.165727i	−0.0133890	+	0.0499685i	−0.972297	−	0.233748i	$-0.924901\pi$
$11$	−0.0444063	+	0.165727i	−0.0133890	+	0.0499685i	0.958908	+	0.283717i	$0.0915675\pi$
$12$	1.62484	+	0.599900i	0.469052	+	0.173176i
$13$	2.00000	+	3.00000i	0.554700	+	0.832050i
$13$	2.00000	+	3.00000i	0.554700	+	0.832050i
$14$	2.59808	+	0.500000i	0.694365	+	0.133631i
$15$	3.41421	−	4.82843i	0.881546	−	1.24669i
$16$	−0.500000	+	0.866025i	−0.125000	+	0.216506i
$17$	−1.91421	−	3.31552i	−0.464265	−	0.804131i	0.534903	−	0.844913i	$-0.320348\pi$
$17$	−1.91421	−	3.31552i	−0.464265	−	0.804131i	−0.999168	+	0.0407829i	$0.987015\pi$
$18$	−2.99087	+	0.233875i	−0.704955	+	0.0551249i
$19$	−4.49818	+	1.20528i	−1.03195	+	0.276511i	−0.734775	−	0.678311i	$-0.762712\pi$
$19$	−4.49818	+	1.20528i	−1.03195	+	0.276511i	−0.297178	+	0.954822i	$0.596045\pi$
$20$	−2.41421	−	2.41421i	−0.539835	−	0.539835i
$21$	4.44949	−	1.09638i	0.970958	−	0.239249i
$22$	−0.171573			−0.0365795
$23$	−4.70711	+	8.15295i	−0.981500	+	1.70001i	−0.324937	+	0.945736i	$0.605343\pi$
$23$	−4.70711	+	8.15295i	−0.981500	+	1.70001i	−0.656563	+	0.754272i	$0.727990\pi$
$24$	−0.476756	+	5.17423i	−0.0973174	+	1.05619i
$25$	−5.76500	+	3.32843i	−1.15300	+	0.665685i
$26$	−2.38014	+	2.70831i	−0.466784	+	0.531143i
$27$	−4.53553	+	2.53553i	−0.872864	+	0.487964i
$28$	−0.189469	−	2.63896i	−0.0358062	−	0.498716i
$29$		−	1.00000i		−	0.185695i	−0.995680	−	0.0928477i	$-0.970403\pi$
$29$		−	1.00000i		−	0.185695i	0.995680	−	0.0928477i	$-0.0295970\pi$
$30$	5.54757	+	2.04819i	1.01284	+	0.373946i
$31$	1.24969	−	4.66390i	0.224451	−	0.837662i	−0.758173	−	0.652053i	$-0.773908\pi$
$31$	1.24969	−	4.66390i	0.224451	−	0.837662i	0.982624	−	0.185608i	$-0.0594255\pi$
$32$	4.82963	+	1.29410i	0.853766	+	0.228766i
$33$	−0.269907	+	0.124347i	−0.0469847	+	0.0216460i
$34$	2.70711	−	2.70711i	0.464265	−	0.464265i
$35$	−8.87039	−	1.70711i	−1.49937	−	0.288554i
$36$	1.00000	+	2.82843i	0.166667	+	0.471405i
$37$	−1.03528	−	3.86370i	−0.170198	−	0.635189i	−0.997320	−	0.0731657i	$-0.976690\pi$
$37$	−1.03528	−	3.86370i	−0.170198	−	0.635189i	0.827121	−	0.562023i	$-0.189977\pi$
$38$	−2.32843	−	4.03295i	−0.377721	−	0.654232i
$39$	−1.78144	+	5.98552i	−0.285259	+	0.958451i
$40$	5.12132	−	8.87039i	0.809752	−	1.40253i
$41$	−4.00000	+	4.00000i	−0.624695	+	0.624695i	−0.946728	−	0.322033i	$-0.895634\pi$
$41$	−4.00000	+	4.00000i	−0.624695	+	0.624695i	0.322033	+	0.946728i	$0.395634\pi$
$42$	2.21063	+	4.01411i	0.341108	+	0.619391i
$43$			6.00000i			0.914991i	0.889212	+	0.457496i	$0.151253\pi$
$43$			6.00000i			0.914991i	−0.889212	+	0.457496i	$0.848747\pi$
$44$	0.0444063	+	0.165727i	0.00669451	+	0.0249842i
$45$	10.2115	−	0.798499i	1.52224	−	0.119033i
$46$	−9.09343	−	2.43658i	−1.34075	−	0.359254i
$47$	10.2937	−	2.75820i	1.50149	−	0.402324i	0.587895	−	0.808938i	$-0.299957\pi$
$47$	10.2937	−	2.75820i	1.50149	−	0.402324i	0.913600	+	0.406613i	$0.133290\pi$
$48$	−1.70711	+	0.292893i	−0.246400	+	0.0422755i
$49$	−4.33013	−	5.50000i	−0.618590	−	0.785714i
$50$	−4.70711	−	4.70711i	−0.665685	−	0.665685i
$51$	2.29668	−	6.22060i	0.321599	−	0.871058i
$52$	3.23205	+	1.59808i	0.448205	+	0.221613i
$53$	2.30090	−	1.32843i	0.316053	−	0.182473i	−0.333579	−	0.942722i	$-0.608256\pi$
$53$	2.30090	−	1.32843i	0.316053	−	0.182473i	0.649632	+	0.760249i	$0.274923\pi$
$54$	−3.62302	−	3.72474i	−0.493031	−	0.506874i
$55$	0.585786			0.0789874
$56$	7.50000	−	2.59808i	1.00223	−	0.347183i
$57$	−6.58579	−	4.65685i	−0.872309	−	0.616815i
$58$	0.965926	−	0.258819i	0.126832	−	0.0339846i
$59$	−1.93733	+	7.23023i	−0.252219	+	0.941295i	0.717397	+	0.696665i	$0.245333\pi$
$59$	−1.93733	+	7.23023i	−0.252219	+	0.941295i	−0.969616	+	0.244631i	$0.921333\pi$
$60$	0.542582	−	5.88865i	0.0700471	−	0.760221i
$61$	0.500000	−	0.866025i	0.0640184	−	0.110883i	−0.832240	−	0.554416i	$-0.812942\pi$
$61$	0.500000	−	0.866025i	0.0640184	−	0.110883i	0.896258	+	0.443533i	$0.146275\pi$
$62$	4.82843			0.613211
$63$	6.38682	+	4.71259i	0.804664	+	0.593730i
$64$			7.00000i			0.875000i
$65$	8.12630	−	9.24674i	1.00794	−	1.14692i
$66$	−0.189967	−	0.228527i	−0.0233833	−	0.0281297i
$67$	0.902057	−	3.36652i	0.110204	−	0.411286i	−0.888680	−	0.458529i	$-0.848377\pi$
$67$	0.902057	−	3.36652i	0.110204	−	0.411286i	0.998883	+	0.0472424i	$0.0150433\pi$
$68$	−3.31552	−	1.91421i	−0.402065	−	0.232132i
$69$	−16.0711	+	2.75736i	−1.93473	+	0.331947i
$70$	−0.646887	−	9.00997i	−0.0773177	−	1.07690i
$71$	−7.53553	+	7.53553i	−0.894303	+	0.894303i	−0.994925	−	0.100621i	$-0.967917\pi$
$71$	−7.53553	+	7.53553i	−0.894303	+	0.894303i	0.100621	+	0.994925i	$0.467917\pi$
$72$	−7.41970	+	5.09393i	−0.874419	+	0.600325i
$73$	−6.92721	−	1.85614i	−0.810768	−	0.217245i	−0.170462	−	0.985364i	$-0.554526\pi$
$73$	−6.92721	−	1.85614i	−0.810768	−	0.217245i	−0.640306	+	0.768120i	$0.721193\pi$
$74$	3.46410	−	2.00000i	0.402694	−	0.232495i
$75$	−10.8164	−	3.99345i	−1.24896	−	0.461124i
$76$	−3.29289	+	3.29289i	−0.377721	+	0.377721i
$77$	0.343146	+	0.297173i	0.0391051	+	0.0338660i
$78$	−6.24264	−	0.171573i	−0.706840	−	0.0194268i
$79$	0.707107	−	1.22474i	0.0795557	−	0.137795i	−0.823503	−	0.567312i	$-0.807983\pi$
$79$	0.707107	−	1.22474i	0.0795557	−	0.137795i	0.903058	+	0.429518i	$0.141317\pi$
$80$	3.29788	+	0.883663i	0.368714	+	0.0987966i
$81$	−8.39898	−	3.23375i	−0.933220	−	0.359306i
$82$	−4.89898	−	2.82843i	−0.541002	−	0.312348i
$83$	11.0711	−	11.0711i	1.21521	−	1.21521i	0.245917	−	0.969291i	$-0.420911\pi$
$83$	11.0711	−	11.0711i	1.21521	−	1.21521i	0.969291	−	0.245917i	$-0.0790889\pi$
$84$	3.30518	−	3.17423i	0.360625	−	0.346337i
$85$	−9.24264	+	9.24264i	−1.00251	+	1.00251i
$86$	−5.79555	+	1.55291i	−0.624951	+	0.167455i
$87$	1.33195	−	1.10721i	0.142800	−	0.118705i
$88$	−0.445759	+	0.257359i	−0.0475181	+	0.0274346i
$89$	4.33245	−	1.16088i	0.459239	−	0.123053i	−0.0217804	−	0.999763i	$-0.506933\pi$
$89$	4.33245	−	1.16088i	0.459239	−	0.123053i	0.481019	+	0.876710i	$0.340267\pi$
$90$	3.41421	+	9.65685i	0.359890	+	1.01792i
$91$	9.45121	−	1.29410i	0.990756	−	0.135658i
$92$			9.41421i			0.981500i
$93$	7.59575	−	3.49938i	0.787643	−	0.362869i
$94$	5.32843	+	9.22911i	0.549585	+	0.951910i
$95$	7.94975	+	13.7694i	0.815627	+	1.41271i
$96$	3.62372	+	7.86566i	0.369845	+	0.802786i
$97$	−7.00000	−	7.00000i	−0.710742	−	0.710742i	0.255948	−	0.966691i	$-0.417612\pi$
$97$	−7.00000	−	7.00000i	−0.710742	−	0.710742i	−0.966691	+	0.255948i	$0.917612\pi$
$98$	4.19187	−	5.60609i	0.423443	−	0.566300i
$99$	−0.464466	−	0.221825i	−0.0466806	−	0.0222943i
$100$	−3.32843	+	5.76500i	−0.332843	+	0.576500i
$101$	−2.00000	−	3.46410i	−0.199007	−	0.344691i	0.749199	−	0.662344i	$-0.230438\pi$
$101$	−2.00000	−	3.46410i	−0.199007	−	0.344691i	−0.948207	+	0.317653i	$0.897105\pi$
$102$	6.60306	+	0.608408i	0.653800	+	0.0602414i
$103$	−9.08052	−	5.24264i	−0.894730	−	0.516573i	−0.0192435	−	0.999815i	$-0.506126\pi$
$103$	−9.08052	−	5.24264i	−0.894730	−	0.516573i	−0.875487	+	0.483242i	$0.839459\pi$
$104$	−2.12132	+	10.6066i	−0.208013	+	1.04006i
$105$	−7.54757	−	13.7050i	−0.736567	−	1.33748i
$106$	1.87868	+	1.87868i	0.182473	+	0.182473i
$107$	1.01461	+	0.585786i	0.0980862	+	0.0566301i	0.548241	−	0.836321i	$-0.315298\pi$
$107$	1.01461	+	0.585786i	0.0980862	+	0.0566301i	−0.450154	+	0.892951i	$0.648631\pi$
$108$	−2.66012	+	4.46360i	−0.255970	+	0.429510i
$109$	1.18689	−	4.42953i	0.113683	−	0.424272i	−0.885502	−	0.464636i	$-0.846185\pi$
$109$	1.18689	−	4.42953i	0.113683	−	0.424272i	0.999185	+	0.0403642i	$0.0128518\pi$
$110$	0.151613	+	0.565826i	0.0144557	+	0.0539494i
$111$	4.00000	−	5.65685i	0.379663	−	0.536925i
$112$	1.48356	+	2.19067i	0.140184	+	0.206999i
$113$		−	9.00000i		−	0.846649i	−0.905978	−	0.423324i	$-0.860863\pi$
$113$		−	9.00000i		−	0.846649i	0.905978	−	0.423324i	$-0.139137\pi$
$114$	2.79365	−	7.56666i	0.261649	−	0.708683i
$115$	31.0469	+	8.31900i	2.89514	+	0.775750i
$116$	−0.500000	−	0.866025i	−0.0464238	−	0.0804084i
$117$	−9.94485	+	4.25442i	−0.919401	+	0.393321i
$118$	−7.48528			−0.689076
$119$	−10.1031	+	0.725367i	−0.926146	+	0.0664943i
$120$	17.4853	−	3.00000i	1.59618	−	0.273861i
$121$	9.50079	+	5.48528i	0.863708	+	0.498662i
$122$	0.965926	+	0.258819i	0.0874508	+	0.0234324i
$123$	−9.75663	−	0.898979i	−0.879726	−	0.0810583i
$124$	−1.24969	−	4.66390i	−0.112225	−	0.418831i
$125$	4.00000	+	4.00000i	0.357771	+	0.357771i
$126$	−2.89898	+	7.38891i	−0.258262	+	0.658256i
$127$			12.1421i			1.07744i	0.842485	+	0.538720i	$0.181092\pi$
$127$			12.1421i			1.07744i	−0.842485	+	0.538720i	$0.818908\pi$
$128$	2.89778	−	0.776457i	0.256130	−	0.0686298i
$129$	−7.99171	+	6.64324i	−0.703631	+	0.584905i
$130$	11.0349	+	5.45617i	0.967826	+	0.478538i
$131$	−6.21076	−	3.58579i	−0.542637	−	0.313292i	0.203510	−	0.979073i	$-0.434765\pi$
$131$	−6.21076	−	3.58579i	−0.542637	−	0.313292i	−0.746147	+	0.665781i	$0.768098\pi$
$132$	−0.171573	+	0.242641i	−0.0149335	+	0.0211192i
$133$	−2.32843	+	12.0989i	−0.201900	+	1.04910i
$134$	3.48528			0.301082
$135$	12.3698	+	12.7171i	1.06462	+	1.09451i
$136$	2.97261	−	11.0939i	0.254899	−	0.951297i
$137$	−2.22217	+	8.29323i	−0.189852	+	0.708539i	0.803687	+	0.595052i	$0.202869\pi$
$137$	−2.22217	+	8.29323i	−0.189852	+	0.708539i	−0.993540	+	0.113487i	$0.963798\pi$
$138$	−6.82290	−	14.8098i	−0.580804	−	1.26069i
$139$	17.0711			1.44795			0.723975	−	0.689827i	$-0.242313\pi$
$139$	17.0711			1.44795			0.723975	+	0.689827i	$0.242313\pi$
$140$	−8.53553	+	2.95680i	−0.721384	+	0.249895i
$141$	15.0711	+	10.6569i	1.26921	+	0.897469i
$142$	−9.22911	−	5.32843i	−0.774489	−	0.447152i
$143$	−0.585993	+	0.198234i	−0.0490032	+	0.0165772i
$144$	−2.28024	−	1.94949i	−0.190020	−	0.162457i
$145$	−3.29788	+	0.883663i	−0.273874	+	0.0733843i
$146$		−	7.17157i		−	0.593524i
$147$	2.53139	−	11.8572i	0.208785	−	0.977961i
$148$	−2.82843	−	2.82843i	−0.232495	−	0.232495i
$149$	0.643238	+	2.40060i	0.0526961	+	0.196665i	0.987256	−	0.159142i	$-0.0508728\pi$
$149$	0.643238	+	2.40060i	0.0526961	+	0.196665i	−0.934560	+	0.355807i	$0.884206\pi$
$150$	1.05790	−	11.4814i	0.0863770	−	0.937450i
$151$	13.6887	+	3.66787i	1.11397	+	0.298487i	0.768441	−	0.639921i	$-0.221033\pi$
$151$	13.6887	+	3.66787i	1.11397	+	0.298487i	0.345529	+	0.938408i	$0.387700\pi$
$152$	−12.0989	−	6.98528i	−0.981347	−	0.566581i
$153$	10.8284	−	3.82843i	0.875426	−	0.309510i
$154$	−0.198234	+	0.408367i	−0.0159742	+	0.0329072i
$155$	−16.4853			−1.32413
$156$	1.44999	+	6.07433i	0.116092	+	0.486336i
$157$	−1.91421	−	3.31552i	−0.152771	−	0.264607i	0.779474	−	0.626434i	$-0.215486\pi$
$157$	−1.91421	−	3.31552i	−0.152771	−	0.264607i	−0.932245	+	0.361827i	$0.882153\pi$
$158$	1.36603	+	0.366025i	0.108675	+	0.0291194i
$159$	4.31697	+	1.59385i	0.342358	+	0.126400i
$160$		−	17.0711i		−	1.34959i
$161$	13.9666	+	20.6234i	1.10072	+	1.62535i
$162$	0.949747	−	8.94975i	0.0746192	−	0.703159i
$163$	−2.02615	−	7.56168i	−0.158700	−	0.592276i	−0.998760	−	0.0497831i	$-0.984147\pi$
$163$	−2.02615	−	7.56168i	−0.158700	−	0.592276i	0.840060	−	0.542493i	$-0.182520\pi$
$164$	−1.46410	+	5.46410i	−0.114327	+	0.426675i
$165$	0.648586	+	0.780239i	0.0504924	+	0.0607415i
$166$	13.5592	+	7.82843i	1.05240	+	0.607604i
$167$	−8.46447	−	8.46447i	−0.655000	−	0.655000i	0.299193	−	0.954193i	$-0.403283\pi$
$167$	−8.46447	−	8.46447i	−0.655000	−	0.655000i	−0.954193	+	0.299193i	$0.903283\pi$
$168$	11.7646	+	7.11303i	0.907655	+	0.548782i
$169$	−5.00000	+	12.0000i	−0.384615	+	0.923077i
$170$	−11.3199	−	6.53553i	−0.868195	−	0.501253i
$171$	−1.08912	−	13.9280i	−0.0832872	−	1.06510i
$172$	3.00000	+	5.19615i	0.228748	+	0.396203i
$173$	−0.742641	+	1.28629i	−0.0564619	+	0.0977949i	−0.892875	−	0.450305i	$-0.851315\pi$
$173$	−0.742641	+	1.28629i	−0.0564619	+	0.0977949i	0.836413	+	0.548100i	$0.184649\pi$
$174$	1.41421	+	1.00000i	0.107211	+	0.0758098i
$175$	1.26127	+	17.5672i	0.0953427	+	1.32795i
$176$	−0.121320	−	0.121320i	−0.00914486	−	0.00914486i
$177$	−11.7753	+	5.42492i	−0.885089	+	0.407762i
$178$	2.24264	+	3.88437i	0.168093	+	0.291146i
$179$	−9.24264	−	16.0087i	−0.690827	−	1.19655i	−0.971567	−	0.236764i	$-0.923913\pi$
$179$	−9.24264	−	16.0087i	−0.690827	−	1.19655i	0.280740	−	0.959784i	$-0.409420\pi$
$180$	8.44414	−	5.79725i	0.629389	−	0.432102i
$181$			19.1421i			1.42282i	0.702775	+	0.711412i	$0.251944\pi$
$181$			19.1421i			1.42282i	−0.702775	+	0.711412i	$0.748056\pi$
$182$	3.69615	+	8.79423i	0.273977	+	0.651872i
$183$	1.70711	−	0.292893i	0.126193	−	0.0216513i
$184$	−27.2803	+	7.30973i	−2.01113	+	0.538881i
$185$	−11.8272	+	6.82843i	−0.869552	+	0.502036i
$186$	5.34607	+	6.43123i	0.391993	+	0.471561i
$187$	0.634472	−	0.170006i	0.0463972	−	0.0124321i
$188$	7.53553	−	7.53553i	0.549585	−	0.549585i
$189$	0.794593	+	13.7247i	0.0577981	+	0.998328i
$190$	−11.2426	+	11.2426i	−0.815627	+	0.815627i
$191$	14.6969	+	8.48528i	1.06343	+	0.613973i	0.926380	−	0.376590i	$-0.122904\pi$
$191$	14.6969	+	8.48528i	1.06343	+	0.613973i	0.137053	+	0.990564i	$0.456237\pi$
$192$	−9.32366	+	7.75044i	−0.672877	+	0.559340i
$193$	2.73205	+	0.732051i	0.196657	+	0.0526942i	0.355803	−	0.934561i	$-0.384207\pi$
$193$	2.73205	+	0.732051i	0.196657	+	0.0526942i	−0.159146	+	0.987255i	$0.550874\pi$
$194$	4.94975	−	8.57321i	0.355371	−	0.615521i
$195$	21.3137	+	0.585786i	1.52631	+	0.0419490i
$196$	−6.50000	−	2.59808i	−0.464286	−	0.185577i
$197$	5.00000	−	5.00000i	0.356235	−	0.356235i	−0.506188	−	0.862423i	$-0.668946\pi$
$197$	5.00000	−	5.00000i	0.356235	−	0.356235i	0.862423	+	0.506188i	$0.168946\pi$
$198$	0.0940542	−	0.506052i	0.00668414	−	0.0359636i
$199$	0.804479	−	0.464466i	0.0570280	−	0.0329251i	−0.471215	−	0.882018i	$-0.656184\pi$
$199$	0.804479	−	0.464466i	0.0570280	−	0.0329251i	0.528243	+	0.849093i	$0.322851\pi$
$200$	−19.2901	−	5.16876i	−1.36401	−	0.365487i
$201$	5.48281	−	2.52594i	0.386727	−	0.178166i
$202$	2.82843	−	2.82843i	0.199007	−	0.199007i
$203$	−2.38014	−	1.15539i	−0.167053	−	0.0810928i
$204$	−1.12132	−	6.53553i	−0.0785081	−	0.457579i
$205$	16.7262	+	9.65685i	1.16821	+	0.674464i
$206$	2.71379	−	10.1280i	0.189079	−	0.705651i
$207$	−21.4667	−	18.3529i	−1.49204	−	1.27562i
$208$	−3.59808	+	0.232051i	−0.249482	+	0.0160898i
$209$		−	0.798990i		−	0.0552673i
$210$	11.2846	−	10.8375i	0.778711	−	0.747860i
$211$	−0.928932			−0.0639503			−0.0319752	−	0.999489i	$-0.510180\pi$
$211$	−0.928932			−0.0639503			−0.0319752	+	0.999489i	$0.510180\pi$
$212$	1.32843	−	2.30090i	0.0912367	−	0.158027i
$213$	−18.3804	−	1.69357i	−1.25940	−	0.116042i
$214$	−0.303225	+	1.13165i	−0.0207281	+	0.0773582i
$215$	19.7873	−	5.30198i	1.34948	−	0.361592i
$216$	−15.0000	−	4.24264i	−1.02062	−	0.288675i
$217$	−9.65685	−	8.36308i	−0.655550	−	0.567723i
$218$	4.58579			0.310589
$219$	−5.19756	−	11.2818i	−0.351219	−	0.762356i
$220$	0.507306	−	0.292893i	0.0342026	−	0.0197469i
$221$	6.11812	−	12.3737i	0.411549	−	0.832343i
$222$	6.49938	+	2.39960i	0.436210	+	0.161051i
$223$	3.53553	+	3.53553i	0.236757	+	0.236757i	0.815506	−	0.578749i	$-0.196459\pi$
$223$	3.53553	+	3.53553i	0.236757	+	0.236757i	−0.578749	+	0.815506i	$0.696459\pi$
$224$	8.66025	−	10.0000i	0.578638	−	0.668153i
$225$	−6.65685	−	18.8284i	−0.443790	−	1.25523i
$226$	8.69333	−	2.32937i	0.578272	−	0.154947i
$227$	5.79555	+	1.55291i	0.384664	+	0.103071i	0.445969	−	0.895049i	$-0.352859\pi$
$227$	5.79555	+	1.55291i	0.384664	+	0.103071i	−0.0613041	+	0.998119i	$0.519526\pi$
$228$	−8.03189	−	0.740061i	−0.531925	−	0.0490117i
$229$	5.81962	+	21.7191i	0.384571	+	1.43524i	0.838842	+	0.544376i	$0.183233\pi$
$229$	5.81962	+	21.7191i	0.384571	+	1.43524i	−0.454270	+	0.890864i	$0.650100\pi$
$230$			32.1421i			2.11939i
$231$	−0.0158867	+	0.786085i	−0.00104527	+	0.0517206i
$232$	2.12132	−	2.12132i	0.139272	−	0.139272i
$233$	6.32843	−	10.9612i	0.414589	−	0.718089i	−0.580796	−	0.814049i	$-0.697259\pi$
$233$	6.32843	−	10.9612i	0.414589	−	0.718089i	0.995385	+	0.0959597i	$0.0305920\pi$
$234$	−6.68336	−	8.50486i	−0.436905	−	0.555980i
$235$	−18.1924	−	31.5101i	−1.18674	−	2.05549i
$236$	1.93733	+	7.23023i	0.126110	+	0.470648i
$237$	2.41421	−	0.414214i	0.156820	−	0.0269061i
$238$	−3.31552	−	9.57107i	−0.214913	−	0.620400i
$239$	11.5355	−	11.5355i	0.746172	−	0.746172i	−0.227586	−	0.973758i	$-0.573083\pi$
$239$	11.5355	−	11.5355i	0.746172	−	0.746172i	0.973758	+	0.227586i	$0.0730834\pi$
$240$	2.47443	+	5.37101i	0.159724	+	0.346697i
$241$	−13.2886	−	3.56067i	−0.855993	−	0.229363i	−0.195972	−	0.980610i	$-0.562786\pi$
$241$	−13.2886	−	3.56067i	−0.855993	−	0.229363i	−0.660021	+	0.751247i	$0.729453\pi$
$242$	−2.83939	+	10.5967i	−0.182523	+	0.681185i
$243$	−4.99221	−	14.7675i	−0.320250	−	0.947333i
$244$		−	1.00000i		−	0.0640184i
$245$	−14.3119	+	19.1404i	−0.914357	+	1.22283i
$246$	−1.65685	−	9.65685i	−0.105637	−	0.615699i
$247$	−12.6122	−	11.0840i	−0.802495	−	0.705256i
$248$	12.5446	−	7.24264i	0.796584	−	0.459908i
$249$	27.0041	+	2.48817i	1.71131	+	0.157681i
$250$	−2.82843	+	4.89898i	−0.178885	+	0.309839i
$251$	2.00000			0.126239			0.0631194	−	0.998006i	$-0.479895\pi$
$251$	2.00000			0.126239			0.0631194	+	0.998006i	$0.479895\pi$
$252$	7.88745	+	0.887810i	0.496862	+	0.0559268i
$253$	−1.14214	−	1.14214i	−0.0718055	−	0.0718055i
$254$	−11.7284	+	3.14262i	−0.735905	+	0.197185i
$255$	−22.5443	−	2.07724i	−1.41178	−	0.130082i
$256$	8.50000	+	14.7224i	0.531250	+	0.920152i
$257$	−6.58579	+	11.4069i	−0.410810	+	0.711544i	−0.994979	−	0.100089i	$-0.968087\pi$
$257$	−6.58579	+	11.4069i	−0.410810	+	0.711544i	0.584168	+	0.811632i	$0.301421\pi$
$258$	−8.48528	−	6.00000i	−0.528271	−	0.373544i
$259$	−10.3923	−	2.00000i	−0.645746	−	0.124274i
$260$	2.41421	−	12.0711i	0.149723	−	0.748616i
$261$	2.94949	+	0.548188i	0.182569	+	0.0339320i
$262$	1.85614	−	6.92721i	0.114673	−	0.427964i
$263$	3.04384	−	1.75736i	0.187691	−	0.108363i	−0.403210	−	0.915107i	$-0.632106\pi$
$263$	3.04384	−	1.75736i	0.187691	−	0.108363i	0.590901	+	0.806744i	$0.298772\pi$
$264$	−0.836338	−	0.308780i	−0.0514730	−	0.0190041i
$265$	−6.41421	−	6.41421i	−0.394022	−	0.394022i
$266$	−12.2892	+	0.882328i	−0.753502	+	0.0540990i
$267$	6.34315	+	4.48528i	0.388194	+	0.274495i
$268$	−0.902057	−	3.36652i	−0.0551019	−	0.205643i
$269$	−6.06218	+	3.50000i	−0.369618	+	0.213399i	−0.673291	−	0.739377i	$-0.735120\pi$
$269$	−6.06218	+	3.50000i	−0.369618	+	0.213399i	0.303674	+	0.952776i	$0.401787\pi$
$270$	−9.08222	+	15.2397i	−0.552726	+	0.927458i
$271$	2.54378	+	9.49353i	0.154524	+	0.576691i	0.999146	+	0.0413275i	$0.0131587\pi$
$271$	2.54378	+	9.49353i	0.154524	+	0.576691i	−0.844622	+	0.535363i	$0.820175\pi$
$272$	3.82843			0.232132
$273$	12.1881	+	11.1557i	0.737658	+	0.675175i
$274$	−8.58579			−0.518686
$275$	−0.295606	−	1.10322i	−0.0178257	−	0.0665266i
$276$	−12.5393	+	10.4235i	−0.754776	+	0.627420i
$277$	−1.58346	+	0.914214i	−0.0951412	+	0.0549298i	−0.546816	−	0.837253i	$-0.684160\pi$
$277$	−1.58346	+	0.914214i	−0.0951412	+	0.0549298i	0.451675	+	0.892183i	$0.350827\pi$
$278$	4.41832	+	16.4894i	0.264993	+	0.988968i
$279$	13.0711	+	6.24264i	0.782544	+	0.373737i
$280$	−15.1956	−	22.4383i	−0.908112	−	1.34094i
$281$	−6.07107	−	6.07107i	−0.362170	−	0.362170i	0.502442	−	0.864611i	$-0.332435\pi$
$281$	−6.07107	−	6.07107i	−0.362170	−	0.362170i	−0.864611	+	0.502442i	$0.832435\pi$
$282$	−6.39305	+	17.3157i	−0.380701	+	1.03114i
$283$	18.8785	−	10.8995i	1.12221	−	0.647908i	0.180245	−	0.983622i	$-0.442311\pi$
$283$	18.8785	−	10.8995i	1.12221	−	0.647908i	0.941964	+	0.335714i	$0.108978\pi$
$284$	−2.75820	+	10.2937i	−0.163669	+	0.610821i
$285$	−9.53811	+	25.8342i	−0.564989	+	1.53029i
$286$	−0.343146	−	0.514719i	−0.0202906	−	0.0304360i
$287$	4.89898	+	14.1421i	0.289178	+	0.834784i
$288$	−6.46447	+	13.5355i	−0.380922	+	0.797589i
$289$	1.17157	−	2.02922i	0.0689161	−	0.119366i
$290$	−1.70711	−	2.95680i	−0.100245	−	0.173629i
$291$	1.57321	−	17.0741i	0.0922234	−	1.00090i
$292$	−6.92721	+	1.85614i	−0.405384	+	0.108622i
$293$	−19.1421	−	19.1421i	−1.11830	−	1.11830i	−0.991992	−	0.126304i	$-0.959689\pi$
$293$	−19.1421	−	19.1421i	−1.11830	−	1.11830i	−0.126304	−	0.991992i	$-0.540311\pi$
$294$	12.1083	−	0.623724i	0.706170	−	0.0363763i
$295$	25.5563			1.48795
$296$	6.00000	−	10.3923i	0.348743	−	0.604040i
$297$	−0.218799	−	0.864253i	−0.0126960	−	0.0501490i
$298$	−2.15232	+	1.24264i	−0.124680	+	0.0719842i
$299$	−33.8731	+	2.18458i	−1.95893	+	0.126337i
$300$	−11.3640	+	1.94975i	−0.656099	+	0.112569i
$301$	14.2808	+	6.93237i	0.823134	+	0.399575i
$302$			14.1716i			0.815482i
$303$	2.39960	−	6.49938i	0.137854	−	0.373379i
$304$	1.20528	−	4.49818i	0.0691277	−	0.257988i
$305$	−3.29788	−	0.883663i	−0.188836	−	0.0505984i
$306$	6.50058	+	9.46859i	0.371613	+	0.541283i
$307$	−3.53553	+	3.53553i	−0.201784	+	0.201784i	−0.800764	−	0.598980i	$-0.795573\pi$
$307$	−3.53553	+	3.53553i	−0.201784	+	0.201784i	0.598980	+	0.800764i	$0.295573\pi$
$308$	0.445759	+	0.0857864i	0.0253995	+	0.00488814i
$309$	−3.07107	−	17.8995i	−0.174707	−	1.01827i
$310$	−4.26670	−	15.9236i	−0.242333	−	0.904397i
$311$	15.0711	+	26.1039i	0.854602	+	1.48021i	0.877014	+	0.480465i	$0.159532\pi$
$311$	15.0711	+	26.1039i	0.854602	+	1.48021i	−0.0224120	+	0.999749i	$0.507135\pi$
$312$	−16.4762	+	8.91820i	−0.932782	+	0.504894i
$313$	−6.17157	+	10.6895i	−0.348838	+	0.604205i	−0.986043	−	0.166489i	$-0.946757\pi$
$313$	−6.17157	+	10.6895i	−0.348838	+	0.604205i	0.637205	+	0.770694i	$0.280090\pi$
$314$	2.70711	−	2.70711i	0.152771	−	0.152771i
$315$	9.89774	−	25.2273i	0.557674	−	1.42140i
$316$		−	1.41421i		−	0.0795557i
$317$	−8.04178	−	30.0123i	−0.451672	−	1.68566i	−0.697693	−	0.716397i	$-0.745790\pi$
$317$	−8.04178	−	30.0123i	−0.451672	−	1.68566i	0.246021	−	0.969264i	$-0.420877\pi$
$318$	−0.422224	+	4.58240i	−0.0236771	+	0.256968i
$319$	0.165727	+	0.0444063i	0.00927891	+	0.00248628i
$320$	23.0851	−	6.18564i	1.29050	−	0.345788i
$321$	0.343146	+	2.00000i	0.0191525	+	0.111629i
$322$	−16.3059	+	18.8284i	−0.908692	+	1.04927i
$323$	12.6066	+	12.6066i	0.701450	+	0.701450i
$324$	−8.89060	+	1.39898i	−0.493922	+	0.0777211i
$325$	−21.5153	−	10.6382i	−1.19345	−	0.590099i
$326$	6.77962	−	3.91421i	0.375488	−	0.216788i
$327$	7.21405	−	3.32353i	0.398938	−	0.183791i
$328$	−16.9706			−0.937043
$329$	5.32843	−	27.6873i	0.293766	−	1.52645i
$330$	−0.585786	+	0.828427i	−0.0322465	+	0.0456034i
$331$	26.5203	−	7.10610i	1.45769	−	0.390586i	0.558997	−	0.829169i	$-0.311186\pi$
$331$	26.5203	−	7.10610i	1.45769	−	0.390586i	0.898691	+	0.438583i	$0.144520\pi$
$332$	4.05229	−	15.1234i	0.222398	−	0.830002i
$333$	11.9635	−	0.935500i	0.655595	−	0.0512651i
$334$	5.98528	−	10.3668i	0.327500	−	0.567247i
$335$	−11.8995			−0.650139
$336$	−1.27526	+	4.40156i	−0.0695709	+	0.240125i
$337$		−	11.1421i		−	0.606951i	−0.952839	−	0.303475i	$-0.901853\pi$
$337$		−	11.1421i		−	0.606951i	0.952839	−	0.303475i	$-0.0981470\pi$
$338$	−12.8852	−	1.72380i	−0.700863	−	0.0937624i
$339$	11.9876	−	9.96486i	0.651075	−	0.541217i
$340$	−3.38304	+	12.6257i	−0.183471	+	0.684724i
$341$	0.717439	+	0.414214i	0.0388515	+	0.0224309i
$342$	13.1716	−	4.65685i	0.712237	−	0.251814i
$343$	−18.0938	+	3.95164i	−0.976972	+	0.213368i
$344$	−12.7279	+	12.7279i	−0.686244	+	0.686244i
$345$	23.2948	+	50.5638i	1.25415	+	2.72226i
$346$	−1.43467	−	0.384419i	−0.0771284	−	0.0206665i
$347$	23.6544	−	13.6569i	1.26983	−	0.733138i	0.294877	−	0.955535i	$-0.404721\pi$
$347$	23.6544	−	13.6569i	1.26983	−	0.733138i	0.974956	+	0.222397i	$0.0713881\pi$
$348$	0.599900	−	1.62484i	0.0321580	−	0.0871008i
$349$	3.00000	−	3.00000i	0.160586	−	0.160586i	−0.622240	−	0.782826i	$-0.713777\pi$
$349$	3.00000	−	3.00000i	0.160586	−	0.160586i	0.782826	+	0.622240i	$0.213777\pi$
$350$	−16.6421	+	5.76500i	−0.889560	+	0.308152i
$351$	−16.6777	−	8.53553i	−0.890188	−	0.455593i
$352$	−0.428932	+	0.742932i	−0.0228622	+	0.0395984i
$353$	12.3913	+	3.32024i	0.659523	+	0.176719i	0.573031	−	0.819534i	$-0.305768\pi$
$353$	12.3913	+	3.32024i	0.659523	+	0.176719i	0.0864922	+	0.996253i	$0.472434\pi$
$354$	−8.28775	−	9.97003i	−0.440489	−	0.529901i
$355$	31.5101	+	18.1924i	1.67238	+	0.965552i
$356$	3.17157	−	3.17157i	0.168093	−	0.168093i
$357$	−12.1523	−	12.6537i	−0.643169	−	0.669702i
$358$	13.0711	−	13.0711i	0.690827	−	0.690827i
$359$	−5.32681	+	1.42731i	−0.281138	+	0.0753308i	−0.396633	−	0.917977i	$-0.629821\pi$
$359$	−5.32681	+	1.42731i	−0.281138	+	0.0753308i	0.115495	+	0.993308i	$0.463155\pi$
$360$	23.3557	+	19.9679i	1.23095	+	1.05240i
$361$	2.32640	−	1.34315i	0.122442	−	0.0706919i
$362$	−18.4899	+	4.95435i	−0.971807	+	0.260395i
$363$	3.21320	+	18.7279i	0.168649	+	0.982961i
$364$	7.53794	−	5.84632i	0.395095	−	0.306431i
$365$			24.4853i			1.28162i
$366$	0.724745	+	1.57313i	0.0378830	+	0.0822289i
$367$	11.1924	+	19.3858i	0.584238	+	1.01193i	0.994970	+	0.100174i	$0.0319398\pi$
$367$	11.1924	+	19.3858i	0.584238	+	1.01193i	−0.410732	+	0.911756i	$0.634727\pi$
$368$	−4.70711	−	8.15295i	−0.245375	−	0.425002i
$369$	−9.60521	−	13.9907i	−0.500027	−	0.728327i
$370$	−9.65685	−	9.65685i	−0.502036	−	0.502036i
$371$	−0.503391	−	7.01133i	−0.0261347	−	0.364010i
$372$	4.82843	−	6.82843i	0.250342	−	0.354037i
$373$	8.39949	−	14.5484i	0.434909	−	0.753285i	−0.562379	−	0.826880i	$-0.690114\pi$
$373$	8.39949	−	14.5484i	0.434909	−	0.753285i	0.997288	+	0.0735946i	$0.0234471\pi$
$374$	0.328427	+	0.568852i	0.0169826	+	0.0294147i
$375$	−0.898979	+	9.75663i	−0.0464231	+	0.503830i
$376$	27.6873	+	15.9853i	1.42786	+	0.824378i
$377$	3.00000	−	2.00000i	0.154508	−	0.103005i
$378$	−13.0514	+	4.31974i	−0.671293	+	0.222184i
$379$	−15.0711	−	15.0711i	−0.774149	−	0.774149i	0.204680	−	0.978829i	$-0.434385\pi$
$379$	−15.0711	−	15.0711i	−0.774149	−	0.774149i	−0.978829	+	0.204680i	$0.934385\pi$
$380$	13.7694	+	7.94975i	0.706354	+	0.407813i
$381$	−16.1727	+	13.4438i	−0.828554	+	0.688749i
$382$	−4.39230	+	16.3923i	−0.224730	+	0.838703i
$383$	−3.32024	−	12.3913i	−0.169656	−	0.633166i	−0.997400	−	0.0720602i	$-0.977043\pi$
$383$	−3.32024	−	12.3913i	−0.169656	−	0.633166i	0.827744	−	0.561106i	$-0.189624\pi$
$384$	4.24264	+	3.00000i	0.216506	+	0.153093i
$385$	0.676814	−	1.39425i	0.0344937	−	0.0710577i
$386$			2.82843i			0.143963i
$387$	−17.6969	−	3.28913i	−0.899586	−	0.167196i
$388$	−9.56218	−	2.56218i	−0.485446	−	0.130075i
$389$	10.3284	+	17.8894i	0.523672	+	0.907027i	0.999620	+	0.0275533i	$0.00877160\pi$
$389$	10.3284	+	17.8894i	0.523672	+	0.907027i	−0.475948	+	0.879473i	$0.657895\pi$
$390$	4.95057	+	20.7391i	0.250682	+	1.05016i
$391$	36.0416			1.82270
$392$	2.48168	−	20.8528i	0.125344	−	1.05323i
$393$	−2.10051	−	12.2426i	−0.105956	−	0.617560i
$394$	6.12372	+	3.53553i	0.308509	+	0.178118i
$395$	−4.66390	−	1.24969i	−0.234666	−	0.0628787i
$396$	−0.513152	+	0.0401266i	−0.0257869	+	0.00201644i
$397$	0.0367874	+	0.137292i	0.00184631	+	0.00689051i	0.966843	−	0.255372i	$-0.0821980\pi$
$397$	0.0367874	+	0.137292i	0.00184631	+	0.00689051i	−0.964997	+	0.262263i	$0.915531\pi$
$398$	0.656854	+	0.656854i	0.0329251	+	0.0329251i
$399$	−18.6931	+	10.2946i	−0.935828	+	0.515374i
$400$		−	6.65685i		−	0.332843i
$401$	−3.62933	+	0.972476i	−0.181240	+	0.0485631i	−0.348298	−	0.937384i	$-0.613240\pi$
$401$	−3.62933	+	0.972476i	−0.181240	+	0.0485631i	0.167057	+	0.985947i	$0.446573\pi$
$402$	3.85893	+	4.64222i	0.192466	+	0.231533i
$403$	16.4911	−	5.57874i	0.821479	−	0.277897i
$404$	−3.46410	−	2.00000i	−0.172345	−	0.0995037i
$405$	−3.24264	+	30.5563i	−0.161128	+	1.51836i
$406$	0.500000	−	2.59808i	0.0248146	−	0.128940i
$407$	0.686292			0.0340182
$408$	18.0679	−	8.32390i	0.894493	−	0.412094i
$409$	−0.329238	+	1.22873i	−0.0162798	+	0.0607569i	−0.973588	−	0.228313i	$-0.926679\pi$
$409$	−0.329238	+	1.22873i	−0.0162798	+	0.0607569i	0.957308	+	0.289069i	$0.0933459\pi$
$410$	−4.99876	+	18.6556i	−0.246871	+	0.921335i
$411$	−13.5066	+	6.22250i	−0.666230	+	0.306934i
$412$	−10.4853			−0.516573
$413$	14.9706	+	12.9649i	0.736653	+	0.637960i
$414$	12.1716	−	25.4853i	0.598200	−	1.25253i
$415$	−46.2941	−	26.7279i	−2.27249	−	1.31202i
$416$	5.77697	+	17.0771i	0.283239	+	0.837273i
$417$	18.9012	+	22.7378i	0.925595	+	1.11348i
$418$	0.771765	−	0.206794i	0.0377483	−	0.0101146i
$419$			31.0711i			1.51792i	0.651137	+	0.758960i	$0.274292\pi$
$419$			31.0711i			1.51792i	−0.651137	+	0.758960i	$0.725708\pi$
$420$	−13.3889	−	8.09513i	−0.653312	−	0.395002i
$421$	3.07107	+	3.07107i	0.149675	+	0.149675i	0.777973	−	0.628298i	$-0.216248\pi$
$421$	3.07107	+	3.07107i	0.149675	+	0.149675i	−0.628298	+	0.777973i	$0.716248\pi$
$422$	−0.240425	−	0.897280i	−0.0117037	−	0.0436789i
$423$	2.49237	+	31.8733i	0.121183	+	1.54973i
$424$	7.69897	+	2.06293i	0.373895	+	0.100185i
$425$	22.0709	+	12.7426i	1.07060	+	0.618109i
$426$	−3.12132	−	18.1924i	−0.151228	−	0.881424i
$427$	−1.48356	−	2.19067i	−0.0717947	−	0.106014i
$428$	1.17157			0.0566301
$429$	−0.912853	−	0.561027i	−0.0440730	−	0.0270867i
$430$	10.2426	+	17.7408i	0.493944	+	0.855536i
$431$	−20.1187	−	5.39079i	−0.969084	−	0.259665i	−0.260643	−	0.965435i	$-0.583935\pi$
$431$	−20.1187	−	5.39079i	−0.969084	−	0.259665i	−0.708441	+	0.705770i	$0.750601\pi$
$432$	0.0719302	−	5.19565i	0.00346074	−	0.249976i
$433$		−	23.1421i		−	1.11214i	−0.831135	−	0.556070i	$-0.812309\pi$
$433$		−	23.1421i		−	1.11214i	0.831135	−	0.556070i	$-0.187691\pi$
$434$	5.57874	−	11.4923i	0.267788	−	0.551649i
$435$	−4.82843	−	3.41421i	−0.231505	−	0.163699i
$436$	−1.18689	−	4.42953i	−0.0568417	−	0.212136i
$437$	11.3468	−	42.3468i	0.542790	−	2.02572i
$438$	9.55219	−	7.94041i	0.456421	−	0.379408i
$439$	−3.34101	−	1.92893i	−0.159458	−	0.0920629i	0.418148	−	0.908379i	$-0.362679\pi$
$439$	−3.34101	−	1.92893i	−0.159458	−	0.0920629i	−0.577605	+	0.816316i	$0.696013\pi$
$440$	1.24264	+	1.24264i	0.0592406	+	0.0592406i
$441$	18.5959	−	9.75663i	0.885520	−	0.464601i
$442$	13.5355	+	2.70711i	0.643820	+	0.128764i
$443$	26.6112	+	15.3640i	1.26433	+	0.729964i	0.973910	−	0.226934i	$-0.0728702\pi$
$443$	26.6112	+	15.3640i	1.26433	+	0.729964i	0.290424	+	0.956898i	$0.406204\pi$
$444$	0.635674	−	6.89898i	0.0301678	−	0.327411i
$445$	−7.65685	−	13.2621i	−0.362970	−	0.628682i
$446$	−2.50000	+	4.33013i	−0.118378	+	0.205037i
$447$	−2.48528	+	3.51472i	−0.117550	+	0.166240i
$448$	16.6610	+	8.08776i	0.787157	+	0.382111i
$449$	2.00000	+	2.00000i	0.0943858	+	0.0943858i	0.752723	−	0.658337i	$-0.228740\pi$
$449$	2.00000	+	2.00000i	0.0943858	+	0.0943858i	−0.658337	+	0.752723i	$0.728740\pi$
$450$	16.4639	−	11.3032i	0.776118	−	0.532837i
$451$	−0.485281	−	0.840532i	−0.0228510	−	0.0395791i
$452$	−4.50000	−	7.79423i	−0.211662	−	0.366610i
$453$	10.2708	+	22.2938i	0.482563	+	1.04745i
$454$			6.00000i			0.281594i
$455$	−12.6195	−	30.0254i	−0.591609	−	1.40761i
$456$	−4.09188	−	23.8492i	−0.191620	−	1.11684i
$457$	−34.3448	+	9.20266i	−1.60658	+	0.430482i	−0.947022	−	0.321170i	$-0.895924\pi$
$457$	−34.3448	+	9.20266i	−1.60658	+	0.430482i	−0.659560	+	0.751652i	$0.729257\pi$
$458$	−19.4728	+	11.2426i	−0.909905	+	0.525334i
$459$	17.0886	+	10.1841i	0.797627	+	0.475352i
$460$	31.0469	−	8.31900i	1.44757	−	0.387875i
$461$	13.9289	−	13.9289i	0.648735	−	0.648735i	−0.303952	−	0.952687i	$-0.598306\pi$
$461$	13.9289	−	13.9289i	0.648735	−	0.648735i	0.952687	+	0.303952i	$0.0983063\pi$
$462$	−0.763412	+	0.188108i	−0.0355171	+	0.00875160i
$463$	4.00000	−	4.00000i	0.185896	−	0.185896i	−0.608023	−	0.793919i	$-0.708037\pi$
$463$	4.00000	−	4.00000i	0.185896	−	0.185896i	0.793919	+	0.608023i	$0.208037\pi$
$464$	0.866025	+	0.500000i	0.0402042	+	0.0232119i
$465$	−18.2526	−	21.9576i	−0.846444	−	1.01826i
$466$	12.2256	+	3.27583i	0.566339	+	0.151750i
$467$	5.48528	−	9.50079i	0.253829	−	0.439644i	−0.710748	−	0.703447i	$-0.751643\pi$
$467$	5.48528	−	9.50079i	0.253829	−	0.439644i	0.964577	+	0.263803i	$0.0849768\pi$
$468$	−6.48528	+	8.65685i	−0.299782	+	0.400163i
$469$	−6.97056	−	6.03668i	−0.321871	−	0.278748i
$470$	25.7279	−	25.7279i	1.18674	−	1.18674i
$471$	2.29668	−	6.22060i	0.105825	−	0.286630i
$472$	−19.4473	+	11.2279i	−0.895136	+	0.516807i
$473$	−0.994360	−	0.266438i	−0.0457207	−	0.0122508i
$474$	1.02494	+	2.22474i	0.0470772	+	0.102186i
$475$	21.9203	−	21.9203i	1.00577	−	1.00577i
$476$	−8.38682	+	5.67972i	−0.384409	+	0.260329i
$477$	2.65685	+	7.51472i	0.121649	+	0.344075i
$478$	14.1281	+	8.15685i	0.646204	+	0.373086i
$479$	3.23905	−	12.0883i	0.147996	−	0.552328i	−0.851608	−	0.524179i	$-0.824372\pi$
$479$	3.23905	−	12.0883i	0.147996	−	0.552328i	0.999604	−	0.0281487i	$-0.00896119\pi$
$480$	22.7378	−	18.9012i	1.03784	−	0.862718i
$481$	9.52056	−	10.8332i	0.434100	−	0.493953i
$482$		−	13.7574i		−	0.626631i
$483$	−12.0055	+	41.4372i	−0.546270	+	1.88546i
$484$	10.9706			0.498662
$485$	−16.8995	+	29.2708i	−0.767367	+	1.32912i
$486$	12.9722	−	8.64420i	0.588431	−	0.392109i
$487$	−5.34639	+	19.9530i	−0.242268	+	0.904156i	0.732469	+	0.680800i	$0.238368\pi$
$487$	−5.34639	+	19.9530i	−0.242268	+	0.904156i	−0.974737	+	0.223356i	$0.928299\pi$
$488$	2.89778	−	0.776457i	0.131176	−	0.0351486i
$489$	7.82843	−	11.0711i	0.354014	−	0.500651i
$490$	−22.1924	−	8.87039i	−1.00255	−	0.400723i
$491$	33.2132			1.49889			0.749445	−	0.662066i	$-0.230320\pi$
$491$	33.2132			1.49889			0.749445	+	0.662066i	$0.230320\pi$
$492$	−8.89898	+	4.09978i	−0.401197	+	0.184832i
$493$	−3.31552	+	1.91421i	−0.149323	+	0.0862118i
$494$	7.44201	−	15.0512i	0.334832	−	0.677185i
$495$	−0.321121	+	1.72777i	−0.0144333	+	0.0776575i
$496$	3.41421	+	3.41421i	0.153303	+	0.153303i
$497$	9.22911	+	26.6421i	0.413982	+	1.19506i
$498$	4.58579	+	26.7279i	0.205494	+	1.19771i
$499$	−28.6463	+	7.67576i	−1.28239	+	0.343614i	−0.834763	−	0.550609i	$-0.814396\pi$
$499$	−28.6463	+	7.67576i	−1.28239	+	0.343614i	−0.447622	+	0.894223i	$0.647729\pi$
$500$	5.46410	+	1.46410i	0.244362	+	0.0654766i
$501$	1.90235	−	20.6462i	0.0849905	−	0.922403i
$502$	0.517638	+	1.93185i	0.0231033	+	0.0862228i
$503$		−	1.07107i		−	0.0477566i	−0.999715	−	0.0238783i	$-0.992399\pi$
$503$		−	1.07107i		−	0.0477566i	0.999715	−	0.0238783i	$-0.00760141\pi$
$504$	3.55159	+	23.5454i	0.158200	+	1.04880i
$505$	−9.65685	+	9.65685i	−0.429724	+	0.429724i
$506$	0.807612	−	1.39882i	0.0359027	−	0.0621853i
$507$	−21.5194	+	6.62672i	−0.955712	+	0.294303i
$508$	6.07107	+	10.5154i	0.269360	+	0.466545i
$509$	0.329238	+	1.22873i	0.0145932	+	0.0544626i	0.972839	−	0.231485i	$-0.0743584\pi$
$509$	0.329238	+	1.22873i	0.0145932	+	0.0544626i	−0.958245	+	0.285947i	$0.907692\pi$
$510$	−3.82843	−	22.3137i	−0.169526	−	0.988068i
$511$	−12.4215	+	14.3431i	−0.549496	+	0.634503i
$512$	−7.77817	+	7.77817i	−0.343750	+	0.343750i
$513$	17.3456	−	16.8719i	0.765827	−	0.744912i
$514$	−12.7228	−	3.40905i	−0.561177	−	0.150367i
$515$	−9.26546	+	34.5792i	−0.408285	+	1.52374i
$516$	−3.59940	+	9.74907i	−0.158455	+	0.429179i
$517$			1.82843i			0.0804141i
$518$	−0.757875	−	10.5558i	−0.0332991	−	0.463797i
$519$	−2.53553	+	0.435029i	−0.111298	+	0.0190956i
$520$	36.8538	−	2.37681i	1.61615	−	0.104230i
$521$	−39.3659	+	22.7279i	−1.72465	+	0.995728i	−0.816160	+	0.577825i	$0.803901\pi$
$521$	−39.3659	+	22.7279i	−1.72465	+	0.995728i	−0.908492	+	0.417903i	$0.862765\pi$
$522$	0.233875	+	2.99087i	0.0102364	+	0.130907i
$523$	−13.2426	+	22.9369i	−0.579060	+	1.00296i	0.416527	+	0.909123i	$0.363247\pi$
$523$	−13.2426	+	22.9369i	−0.579060	+	1.00296i	−0.995587	+	0.0938385i	$0.970086\pi$
$524$	−7.17157			−0.313292
$525$	−22.0021	+	21.1304i	−0.960251	+	0.922207i
$526$	2.48528	+	2.48528i	0.108363	+	0.108363i
$527$	−17.8554	+	4.78434i	−0.777794	+	0.208409i
$528$	0.0272661	−	0.295919i	0.00118661	−	0.0128782i
$529$	−32.8137	−	56.8350i	−1.42668	−	2.47109i
$530$	4.53553	−	7.85578i	0.197011	−	0.341233i
$531$	−20.2635	−	9.67767i	−0.879359	−	0.419975i
$532$	4.03295	+	11.6421i	0.174851	+	0.504751i
$533$	−20.0000	−	4.00000i	−0.866296	−	0.173259i
$534$	−2.69072	+	7.28788i	−0.116439	+	0.315378i
$535$	1.03528	−	3.86370i	0.0447589	−	0.167042i
$536$	9.05503	−	5.22792i	0.391118	−	0.225812i
$537$	11.0893	−	30.0357i	0.478540	−	1.29614i
$538$	−4.94975	−	4.94975i	−0.213399	−	0.213399i
$539$	1.10378	−	0.473383i	0.0475432	−	0.0203900i
$540$	17.0711	+	4.82843i	0.734622	+	0.207782i
$541$	−7.90095	−	29.4867i	−0.339688	−	1.26773i	−0.898696	−	0.438571i	$-0.855485\pi$
$541$	−7.90095	−	29.4867i	−0.339688	−	1.26773i	0.559008	−	0.829162i	$-0.311182\pi$
$542$	−8.51167	+	4.91421i	−0.365607	+	0.211084i
$543$	−25.4964	+	21.1943i	−1.09415	+	0.909534i
$544$	−4.95435	−	18.4899i	−0.212416	−	0.792747i
$545$	−15.6569			−0.670666
$546$	−7.62108	+	14.6601i	−0.326152	+	0.627395i
$547$	0.928932			0.0397183			0.0198591	−	0.999803i	$-0.493678\pi$
$547$	0.928932			0.0397183			0.0198591	+	0.999803i	$0.493678\pi$
$548$	2.22217	+	8.29323i	0.0949262	+	0.354269i
$549$	2.28024	+	1.94949i	0.0973182	+	0.0832022i
$550$	0.989118	−	0.571068i	0.0421762	−	0.0243504i
$551$	1.20528	+	4.49818i	0.0513468	+	0.191629i
$552$	−39.9411	−	28.2426i	−1.70001	−	1.20209i
$553$	−2.09808	−	3.09808i	−0.0892193	−	0.131744i
$554$	−1.29289	−	1.29289i	−0.0549298	−	0.0549298i
$555$	−22.1903	−	8.19275i	−0.941924	−	0.347763i
$556$	14.7840	−	8.53553i	0.626980	−	0.361987i
$557$	1.88215	−	7.02429i	0.0797494	−	0.297629i	−0.914519	−	0.404543i	$-0.867430\pi$
$557$	1.88215	−	7.02429i	0.0797494	−	0.297629i	0.994268	+	0.106915i	$0.0340972\pi$
$558$	−2.64689	+	14.2414i	−0.112052	+	0.602886i
$559$	−18.0000	+	12.0000i	−0.761319	+	0.507546i
$560$	5.91359	−	6.82843i	0.249895	−	0.288554i
$561$	0.928932	+	0.656854i	0.0392195	+	0.0277324i
$562$	4.29289	−	7.43551i	0.181085	−	0.313648i
$563$	10.2426	+	17.7408i	0.431676	+	0.747684i	0.997018	−	0.0771722i	$-0.0245891\pi$
$563$	10.2426	+	17.7408i	0.431676	+	0.747684i	−0.565342	+	0.824857i	$0.691256\pi$
$564$	18.3804	+	1.69357i	0.773953	+	0.0713123i
$565$	−29.6809	+	7.95297i	−1.24868	+	0.334584i
$566$	15.4142	+	15.4142i	0.647908	+	0.647908i
$567$	−17.4009	+	16.2545i	−0.730770	+	0.682624i
$568$	−31.9706			−1.34146
$569$	−13.2574	+	22.9624i	−0.555777	+	0.962635i	0.442065	+	0.896983i	$0.354246\pi$
$569$	−13.2574	+	22.9624i	−0.555777	+	0.962635i	−0.997843	+	0.0656518i	$0.979087\pi$
$570$	−27.4226	−	2.52673i	−1.14861	−	0.105833i
$571$	29.4809	−	17.0208i	1.23374	−	0.712299i	0.265931	−	0.963992i	$-0.414321\pi$
$571$	29.4809	−	17.0208i	1.23374	−	0.712299i	0.967807	+	0.251693i	$0.0809874\pi$
$572$	−0.408367	+	0.464672i	−0.0170747	+	0.0194289i
$573$	4.97056	+	28.9706i	0.207648	+	1.21026i
$574$	−12.3923	+	8.39230i	−0.517245	+	0.350288i
$575$		−	62.6690i		−	2.61348i
$576$	−20.6464	−	3.83732i	−0.860268	−	0.159888i
$577$	−7.71255	+	28.7836i	−0.321077	+	1.19828i	0.597119	+	0.802153i	$0.296312\pi$
$577$	−7.71255	+	28.7836i	−0.321077	+	1.19828i	−0.918197	+	0.396125i	$0.870355\pi$
$578$	2.26330	+	0.606451i	0.0941411	+	0.0252250i
$579$	2.04989	+	4.44949i	0.0851904	+	0.184914i
$580$	−2.41421	+	2.41421i	−0.100245	+	0.100245i
$581$	−13.5592	−	39.1421i	−0.562532	−	1.62389i
$582$	16.8995	−	2.89949i	0.700507	−	0.120188i
$583$	0.117981	+	0.440312i	0.00488628	+	0.0182358i
$584$	−10.7574	−	18.6323i	−0.445143	−	0.771010i
$585$	22.8184	+	29.0374i	0.943426	+	1.20055i
$586$	13.5355	−	23.4442i	0.559148	−	0.968472i
$587$	−16.4645	+	16.4645i	−0.679561	+	0.679561i	−0.959901	−	0.280340i	$-0.909553\pi$
$587$	−16.4645	+	16.4645i	−0.679561	+	0.679561i	0.280340	+	0.959901i	$0.409553\pi$
$588$	−3.73633	−	11.5343i	−0.154084	−	0.475666i
$589$			22.4853i			0.926490i
$590$	6.61447	+	24.6855i	0.272313	+	1.01629i
$591$	12.1958	+	1.12372i	0.501668	+	0.0462238i
$592$	3.86370	+	1.03528i	0.158797	+	0.0425496i
$593$	−36.0825	+	9.66827i	−1.48173	+	0.397028i	−0.906936	−	0.421269i	$-0.861585\pi$
$593$	−36.0825	+	9.66827i	−1.48173	+	0.397028i	−0.574795	+	0.818298i	$0.694918\pi$
$594$	0.778175	−	0.435029i	0.0319289	−	0.0178494i
$595$	11.3199	+	32.6777i	0.464070	+	1.33965i
$596$	1.75736	+	1.75736i	0.0719842	+	0.0719842i
$597$	1.50937	+	0.557267i	0.0617744	+	0.0228074i
$598$	−10.8771	−	32.1535i	−0.444799	−	1.31485i
$599$	9.46473	−	5.46447i	0.386719	−	0.223272i	−0.294019	−	0.955800i	$-0.594993\pi$
$599$	9.46473	−	5.46447i	0.386719	−	0.223272i	0.680737	+	0.732528i	$0.261660\pi$
$600$	−14.4736	−	31.4163i	−0.590881	−	1.28257i
$601$	−11.2843			−0.460295			−0.230148	−	0.973156i	$-0.573921\pi$
$601$	−11.2843			−0.460295			−0.230148	+	0.973156i	$0.573921\pi$
$602$	−3.00000	+	15.5885i	−0.122271	+	0.635338i
$603$	9.43503	+	4.50610i	0.384224	+	0.183502i
$604$	13.6887	−	3.66787i	0.556985	−	0.149244i
$605$	9.69429	−	36.1796i	0.394129	−	1.47091i
$606$	6.89898	+	0.635674i	0.280252	+	0.0258225i
$607$	5.48528	−	9.50079i	0.222641	−	0.385625i	−0.732968	−	0.680263i	$-0.761866\pi$
$607$	5.48528	−	9.50079i	0.222641	−	0.385625i	0.955609	+	0.294638i	$0.0951990\pi$
$608$	−23.2843			−0.944302
$609$	−1.09638	−	4.44949i	−0.0444274	−	0.180302i
$610$		−	3.41421i		−	0.138237i
$611$	28.8621	+	25.3648i	1.16763	+	1.02615i
$612$	7.46348	−	8.72973i	0.301693	−	0.352878i
$613$	5.73081	−	21.3877i	0.231465	−	0.863839i	−0.748245	−	0.663422i	$-0.769103\pi$
$613$	5.73081	−	21.3877i	0.231465	−	0.863839i	0.979711	−	0.200418i	$-0.0642299\pi$
$614$	−4.33013	−	2.50000i	−0.174750	−	0.100892i
$615$	5.65685	+	32.9706i	0.228106	+	1.32950i
$616$	0.0975231	+	1.35832i	0.00392932	+	0.0547283i
$617$	−7.07107	+	7.07107i	−0.284670	+	0.284670i	−0.834968	−	0.550298i	$-0.814514\pi$
$617$	−7.07107	+	7.07107i	−0.284670	+	0.284670i	0.550298	+	0.834968i	$0.314514\pi$
$618$	16.4947	−	7.59915i	0.663515	−	0.305683i
$619$	5.32681	+	1.42731i	0.214103	+	0.0573686i	0.364276	−	0.931291i	$-0.381317\pi$
$619$	5.32681	+	1.42731i	0.214103	+	0.0573686i	−0.150173	+	0.988660i	$0.547983\pi$
$620$	−14.2767	+	8.24264i	−0.573365	+	0.331032i
$621$	0.677166	−	48.9130i	0.0271737	−	1.96281i
$622$	−21.3137	+	21.3137i	−0.854602	+	0.854602i
$623$	2.24264	−	11.6531i	0.0898495	−	0.466872i
$624$	−4.29289	−	4.53553i	−0.171853	−	0.181567i
$625$	−6.98528	+	12.0989i	−0.279411	+	0.483954i
$626$	−11.9226	−	3.19464i	−0.476521	−	0.127684i
$627$	1.06422	−	0.884647i	0.0425007	−	0.0353294i
$628$	−3.31552	−	1.91421i	−0.132303	−	0.0763854i
$629$	−10.8284	+	10.8284i	−0.431758	+	0.431758i
$630$	26.9294	+	3.03117i	1.07289	+	0.120765i
$631$	−1.07107	+	1.07107i	−0.0426385	+	0.0426385i	−0.728105	−	0.685466i	$-0.759598\pi$
$631$	−1.07107	+	1.07107i	−0.0426385	+	0.0426385i	0.685466	+	0.728105i	$0.259598\pi$
$632$	4.09808	−	1.09808i	0.163013	−	0.0436791i
$633$	−1.02852	−	1.23729i	−0.0408800	−	0.0491780i
$634$	26.9083	−	15.5355i	1.06867	−	0.616995i
$635$	40.0433	−	10.7296i	1.58907	−	0.425790i
$636$	4.53553	−	0.778175i	0.179846	−	0.0308566i
$637$	7.83975	−	23.9904i	0.310622	−	0.950534i
$638$			0.171573i			0.00679264i
$639$	−18.0951	−	26.3569i	−0.715831	−	1.04266i
$640$	−5.12132	−	8.87039i	−0.202438	−	0.350633i
$641$	−16.1421	−	27.9590i	−0.637576	−	1.10431i	−0.985963	−	0.166963i	$-0.946604\pi$
$641$	−16.1421	−	27.9590i	−0.637576	−	1.10431i	0.348387	−	0.937351i	$-0.386729\pi$
$642$	−1.84304	+	0.849091i	−0.0727389	+	0.0335110i
$643$	−27.6777	−	27.6777i	−1.09150	−	1.09150i	−0.995369	−	0.0961322i	$-0.969353\pi$
$643$	−27.6777	−	27.6777i	−1.09150	−	1.09150i	−0.0961322	−	0.995369i	$-0.530647\pi$
$644$	22.4071	+	10.8771i	0.882965	+	0.428619i
$645$	28.9706	+	20.4853i	1.14071	+	0.806607i
$646$	−8.91421	+	15.4399i	−0.350725	+	0.607474i
$647$	−17.0919	−	29.6040i	−0.671951	−	1.16385i	−0.977350	−	0.211629i	$-0.932123\pi$
$647$	−17.0919	−	29.6040i	−0.671951	−	1.16385i	0.305399	−	0.952225i	$-0.401210\pi$
$648$	−10.9571	−	24.6767i	−0.430436	−	0.969394i
$649$	−1.11221	−	0.642136i	−0.0436581	−	0.0252060i
$650$	4.70711	−	23.5355i	0.184628	−	0.923140i
$651$	0.447086	−	22.1221i	0.0175227	−	0.867034i
$652$	−5.53553	−	5.53553i	−0.216788	−	0.216788i
$653$	6.75412	+	3.89949i	0.264309	+	0.152599i	0.626299	−	0.779583i	$-0.284569\pi$
$653$	6.75412	+	3.89949i	0.264309	+	0.152599i	−0.361989	+	0.932182i	$0.617902\pi$
$654$	5.07741	+	6.10804i	0.198543	+	0.238843i
$655$	−6.33726	+	23.6510i	−0.247617	+	0.924120i
$656$	−1.46410	−	5.46410i	−0.0571636	−	0.213337i
$657$	9.27208	−	19.4142i	0.361738	−	0.757421i
$658$	28.1230	−	2.01914i	1.09635	−	0.0787143i
$659$			6.92893i			0.269913i	0.990852	+	0.134956i	$0.0430894\pi$
$659$			6.92893i			0.269913i	−0.990852	+	0.134956i	$0.956911\pi$
$660$	0.951812	+	0.351414i	0.0370492	+	0.0136788i
$661$	−37.7800	−	10.1231i	−1.46947	−	0.393743i	−0.566721	−	0.823910i	$-0.691788\pi$
$661$	−37.7800	−	10.1231i	−1.46947	−	0.393743i	−0.902750	+	0.430167i	$0.858455\pi$
$662$	13.7279	+	23.7775i	0.533551	+	0.924137i
$663$	23.2551	−	5.55117i	0.903155	−	0.215590i
$664$	46.9706			1.82281
$665$	41.9581	−	3.01246i	1.62707	−	0.116818i
$666$	4.00000	+	11.3137i	0.154997	+	0.438397i
$667$	8.15295	+	4.70711i	0.315683	+	0.182260i
$668$	−11.5627	−	3.09821i	−0.447373	−	0.119873i
$669$	−0.794593	+	8.62372i	−0.0307207	+	0.333412i
$670$	−3.07982	−	11.4940i	−0.118984	−	0.444053i
$671$	0.121320	+	0.121320i	0.00468352	+	0.00468352i
$672$	22.9082	+	0.462972i	0.883703	+	0.0178595i
$673$		−	38.1421i		−	1.47027i	−0.677920	−	0.735136i	$-0.737118\pi$
$673$		−	38.1421i		−	1.47027i	0.677920	−	0.735136i	$-0.262882\pi$
$674$	10.7625	−	2.88380i	0.414555	−	0.111080i
$675$	17.7080	−	29.7136i	0.681583	−	1.14368i
$676$	1.66987	+	12.8923i	0.0642259	+	0.495858i
$677$	−6.90271	−	3.98528i	−0.265293	−	0.153167i	0.361454	−	0.932390i	$-0.382281\pi$
$677$	−6.90271	−	3.98528i	−0.265293	−	0.153167i	−0.626747	+	0.779223i	$0.715614\pi$
$678$	12.7279	+	9.00000i	0.488813	+	0.345643i
$679$	−24.7487	+	8.57321i	−0.949769	+	0.329010i
$680$	−39.2132			−1.50376
$681$	4.34847	+	9.43879i	0.166634	+	0.361695i
$682$	−0.214413	+	0.800199i	−0.00821029	+	0.0306412i
$683$	1.62649	−	6.07014i	0.0622359	−	0.232267i	−0.927801	−	0.373075i	$-0.878303\pi$
$683$	1.62649	−	6.07014i	0.0622359	−	0.232267i	0.990037	+	0.140808i	$0.0449700\pi$
$684$	−7.90723	−	11.5175i	−0.302340	−	0.440382i
$685$	29.3137			1.12002
$686$	−8.50000	−	16.4545i	−0.324532	−	0.628235i
$687$	−22.4853	+	31.7990i	−0.857867	+	1.21321i
$688$	−5.19615	−	3.00000i	−0.198101	−	0.114374i
$689$	8.58709	+	4.24586i	0.327142	+	0.161754i
$690$	−42.8118	+	35.5880i	−1.62982	+	1.35481i
$691$	−15.2891	+	4.09670i	−0.581624	+	0.155846i	−0.537622	−	0.843186i	$-0.680677\pi$
$691$	−15.2891	+	4.09670i	−0.581624	+	0.155846i	−0.0440018	+	0.999031i	$0.514011\pi$
$692$			1.48528i			0.0564619i
$693$	−1.06462	+	0.849198i	−0.0404415	+	0.0322584i
$694$	19.3137	+	19.3137i	0.733138	+	0.733138i
$695$	−15.0851	−	56.2983i	−0.572210	−	2.13552i
$696$	5.17423	+	0.476756i	0.196129	+	0.0180714i
$697$	20.9189	+	5.60521i	0.792360	+	0.212312i
$698$	3.67423	+	2.12132i	0.139072	+	0.0802932i
$699$	21.6066	−	3.70711i	0.817237	−	0.140216i
$700$	9.87587	+	14.5830i	0.373273	+	0.551185i
$701$	20.2843			0.766126			0.383063	−	0.923722i	$-0.374869\pi$
$701$	20.2843			0.766126			0.383063	+	0.923722i	$0.374869\pi$
$702$	3.92819	−	18.3186i	0.148260	−	0.691389i
$703$	9.31371	+	16.1318i	0.351273	+	0.608423i
$704$	−1.16009	−	0.310844i	−0.0437224	−	0.0117154i
$705$	21.8272	−	59.1196i	0.822062	−	2.22657i
$706$			12.8284i			0.482804i
$707$	−10.5558	+	0.757875i	−0.396993	+	0.0285028i
$708$	−7.48528	+	10.5858i	−0.281314	+	0.397838i
$709$	13.1401	+	49.0396i	0.493488	+	1.84172i	0.538340	+	0.842728i	$0.319052\pi$
$709$	13.1401	+	49.0396i	0.493488	+	1.84172i	−0.0448517	+	0.998994i	$0.514282\pi$
$710$	−9.41707	+	35.1450i	−0.353416	+	1.31897i
$711$	3.22474	+	2.75699i	0.120937	+	0.103395i
$712$	11.6531	+	6.72792i	0.436718	+	0.252140i
$713$	32.1421	+	32.1421i	1.20373	+	1.20373i
$714$	9.07724	−	15.0133i	0.339707	−	0.561857i
$715$	1.17157	+	1.75736i	0.0438143	+	0.0657215i
$716$	−16.0087	−	9.24264i	−0.598274	−	0.345414i
$717$	28.1370	+	2.59255i	1.05079	+	0.0968206i
$718$	−2.75736	−	4.77589i	−0.102904	−	0.178234i
$719$	−21.9706	+	38.0541i	−0.819364	+	1.41918i	0.0867880	+	0.996227i	$0.472340\pi$
$719$	−21.9706	+	38.0541i	−0.819364	+	1.41918i	−0.906152	+	0.422953i	$0.860994\pi$
$720$	−4.41421	+	9.24264i	−0.164508	+	0.344453i
$721$	−22.9698	+	15.5556i	−0.855440	+	0.579320i
$722$	1.89949	+	1.89949i	0.0706919	+	0.0706919i
$723$	−9.97058	−	21.6421i	−0.370810	−	0.804880i
$724$	9.57107	+	16.5776i	0.355706	+	0.616101i
$725$	3.32843	+	5.76500i	0.123615	+	0.214107i
$726$	−17.2581	+	7.95086i	−0.640510	+	0.295084i
$727$			5.07107i			0.188075i	0.995569	+	0.0940377i	$0.0299774\pi$
$727$			5.07107i			0.188075i	−0.995569	+	0.0940377i	$0.970023\pi$
$728$	22.7942	+	17.3038i	0.844810	+	0.641323i
$729$	14.1421	−	23.0000i	0.523783	−	0.851852i
$730$	−23.6510	+	6.33726i	−0.875362	+	0.234552i
$731$	19.8931	−	11.4853i	0.735773	−	0.424798i
$732$	1.33195	−	1.10721i	0.0492303	−	0.0409235i
$733$	−32.0815	+	8.59621i	−1.18496	+	0.317508i	−0.796891	−	0.604123i	$-0.793523\pi$
$733$	−32.0815	+	8.59621i	−1.18496	+	0.317508i	−0.388066	+	0.921632i	$0.626857\pi$
$734$	−15.8284	+	15.8284i	−0.584238	+	0.584238i
$735$	−41.3403	+	2.12953i	−1.52486	+	0.0785488i
$736$	−33.2843	+	33.2843i	−1.22687	+	1.22687i
$737$	0.517866	+	0.298990i	0.0190758	+	0.0110134i
$738$	11.0280	−	12.8990i	0.405946	−	0.474818i
$739$	−13.9917	−	3.74907i	−0.514693	−	0.137912i	−0.00788243	−	0.999969i	$-0.502509\pi$
$739$	−13.9917	−	3.74907i	−0.514693	−	0.137912i	−0.506811	+	0.862057i	$0.669176\pi$
$740$	−6.82843	+	11.8272i	−0.251018	+	0.434776i
$741$	0.798990	−	29.0711i	0.0293516	−	1.06795i
$742$	6.64214	−	2.30090i	0.243840	−	0.0844688i
$743$	−16.6066	+	16.6066i	−0.609237	+	0.609237i	−0.942747	−	0.333510i	$-0.891767\pi$
$743$	−16.6066	+	16.6066i	−0.609237	+	0.609237i	0.333510	+	0.942747i	$0.391767\pi$
$744$	23.5363	+	8.68973i	0.862884	+	0.318581i
$745$	7.34847	−	4.24264i	0.269227	−	0.155438i
$746$	16.2266	+	4.34790i	0.594097	+	0.159188i
$747$	26.5850	+	38.7230i	0.972693	+	1.41680i
$748$	0.464466	−	0.464466i	0.0169826	−	0.0169826i
$749$	2.56653	−	1.73810i	0.0937790	−	0.0635089i
$750$	−9.65685	+	1.65685i	−0.352618	+	0.0604998i
$751$	29.4809	+	17.0208i	1.07577	+	0.621098i	0.929753	−	0.368183i	$-0.120020\pi$
$751$	29.4809	+	17.0208i	1.07577	+	0.621098i	0.146021	+	0.989282i	$0.453353\pi$
$752$	−2.75820	+	10.2937i	−0.100581	+	0.375374i
$753$	2.21441	+	2.66390i	0.0806977	+	0.0970780i
$754$	2.70831	+	2.38014i	0.0986308	+	0.0866796i
$755$		−	48.3848i		−	1.76090i
$756$	7.55051	+	11.4887i	0.274609	+	0.417839i
$757$	17.1421			0.623042			0.311521	−	0.950239i	$-0.399162\pi$
$757$	17.1421			0.623042			0.311521	+	0.950239i	$0.399162\pi$
$758$	10.6569	−	18.4582i	0.387074	−	0.670432i
$759$	0.256689	−	2.78585i	0.00931722	−	0.101120i
$760$	−12.3453	+	46.0732i	−0.447810	+	1.67125i
$761$	−29.7780	+	7.97898i	−1.07945	+	0.289238i	−0.754371	−	0.656449i	$-0.772058\pi$
$761$	−29.7780	+	7.97898i	−1.07945	+	0.289238i	−0.325080	+	0.945687i	$0.605391\pi$
$762$	−17.1716	−	12.1421i	−0.622060	−	0.439863i
$763$	−9.17157	−	7.94282i	−0.332033	−	0.287549i
$764$	16.9706			0.613973
$765$	−22.1944	−	32.3278i	−0.802439	−	1.16881i
$766$	11.1097	−	6.41421i	0.401411	−	0.231755i
$767$	−25.5653	+	8.64845i	−0.923111	+	0.312278i
$768$	−10.1983	+	27.6224i	−0.368000	+	0.996736i
$769$	33.2132	+	33.2132i	1.19770	+	1.19770i	0.974854	+	0.222845i	$0.0715343\pi$
$769$	33.2132	+	33.2132i	1.19770	+	1.19770i	0.222845	+	0.974854i	$0.428466\pi$
$770$	1.52192	+	0.292893i	0.0548461	+	0.0105551i
$771$	−22.4853	+	3.85786i	−0.809788	+	0.138938i
$772$	2.73205	−	0.732051i	0.0983287	−	0.0263471i
$773$	20.3933	+	5.46437i	0.733496	+	0.196540i	0.606186	−	0.795323i	$-0.292699\pi$
$773$	20.3933	+	5.46437i	0.733496	+	0.196540i	0.127310	+	0.991863i	$0.459366\pi$
$774$	−1.40325	−	17.9452i	−0.0504388	−	0.645028i
$775$	8.31900	+	31.0469i	0.298827	+	1.11524i
$776$		−	29.6985i		−	1.06611i
$777$	−8.84252	−	16.0565i	−0.317224	−	0.576022i
$778$	−14.6066	+	14.6066i	−0.523672	+	0.523672i
$779$	13.1716	−	22.8138i	0.471921	−	0.817390i
$780$	18.7511	−	10.1495i	0.671397	−	0.363412i
$781$	−0.914214	−	1.58346i	−0.0327131	−	0.0566608i
$782$	9.32826	+	34.8135i	0.333578	+	1.24493i
$783$	2.53553	+	4.53553i	0.0906126	+	0.162087i
$784$	6.92820	−	1.00000i	0.247436	−	0.0357143i
$785$	−9.24264	+	9.24264i	−0.329884	+	0.329884i
$786$	11.2818	−	5.19756i	0.402410	−	0.185391i
$787$	53.2632	+	14.2718i	1.89863	+	0.508736i	0.997108	+	0.0759999i	$0.0242149\pi$
$787$	53.2632	+	14.2718i	1.89863	+	0.508736i	0.901521	+	0.432736i	$0.142452\pi$
$788$	1.83013	−	6.83013i	0.0651956	−	0.243313i
$789$	5.71087	+	2.10848i	0.203312	+	0.0750639i
$790$		−	4.82843i		−	0.171788i
$791$	−21.4213	−	10.3986i	−0.761652	−	0.369730i
$792$	−0.514719	−	1.45584i	−0.0182897	−	0.0517312i
$793$	3.59808	−	0.232051i	0.127771	−	0.00824037i
$794$	−0.123093	+	0.0710678i	−0.00436841	+	0.00252210i
$795$	1.44156	−	15.6453i	0.0511269	−	0.554881i
$796$	0.464466	−	0.804479i	0.0164626	−	0.0285140i
$797$	46.2843			1.63947			0.819737	−	0.572741i	$-0.194120\pi$
$797$	46.2843			1.63947			0.819737	+	0.572741i	$0.194120\pi$
$798$	−14.7819	−	15.3918i	−0.523275	−	0.544862i
$799$	−28.8492	−	28.8492i	−1.02061	−	1.02061i
$800$	−32.1501	+	8.61460i	−1.13668	+	0.304572i
$801$	1.04900	+	13.4149i	0.0370644	+	0.473992i
$802$	−1.87868	−	3.25397i	−0.0663385	−	0.114902i
$803$	0.615224	−	1.06560i	0.0217108	−	0.0376042i
$804$	3.48528	−	4.92893i	0.122916	−	0.173830i
$805$	55.6718	−	64.2843i	1.96217	−	2.26572i
$806$	9.65685	+	14.4853i	0.340148	+	0.510222i
$807$	−11.3739	−	4.19930i	−0.400381	−	0.147822i
$808$	3.10583	−	11.5911i	0.109263	−	0.407774i
$809$	−34.1443	+	19.7132i	−1.20045	+	0.693079i	−0.960655	−	0.277745i	$-0.910413\pi$
$809$	−34.1443	+	19.7132i	−1.20045	+	0.693079i	−0.239794	+	0.970824i	$0.577080\pi$
$810$	−30.3544	+	4.77641i	−1.06655	+	0.167826i
$811$	−21.0711	−	21.0711i	−0.739905	−	0.739905i	0.232654	−	0.972560i	$-0.425259\pi$
$811$	−21.0711	−	21.0711i	−0.739905	−	0.739905i	−0.972560	+	0.232654i	$0.925259\pi$
$812$	−2.63896	+	0.189469i	−0.0926093	+	0.00664905i
$813$	−9.82843	+	13.8995i	−0.344698	+	0.487477i
$814$	0.177625	+	0.662907i	0.00622576	+	0.0232349i
$815$	−23.1471	+	13.3640i	−0.810806	+	0.468119i
$816$	4.23886	+	5.09928i	0.148390	+	0.178510i
$817$	−7.23170	−	26.9891i	−0.253005	−	0.944228i
$818$	−1.27208			−0.0444772
$819$	−1.36412	+	28.5856i	−0.0476662	+	0.998863i
$820$	19.3137			0.674464
$821$	−2.09656	−	7.82449i	−0.0731706	−	0.273076i	0.919642	−	0.392758i	$-0.128479\pi$
$821$	−2.09656	−	7.82449i	−0.0731706	−	0.273076i	−0.992812	+	0.119682i	$0.961812\pi$
$822$	−9.50624	−	11.4358i	−0.331568	−	0.398871i
$823$	−14.2767	+	8.24264i	−0.497654	+	0.287320i	−0.727744	−	0.685849i	$-0.759431\pi$
$823$	−14.2767	+	8.24264i	−0.497654	+	0.287320i	0.230091	+	0.973169i	$0.426098\pi$
$824$	−8.14137	−	30.3840i	−0.283618	−	1.05848i
$825$	1.14214	−	1.61522i	0.0397641	−	0.0562349i
$826$	−8.64845	+	17.8160i	−0.300918	+	0.619898i
$827$	−19.6777	−	19.6777i	−0.684260	−	0.684260i	0.276697	−	0.960957i	$-0.410760\pi$
$827$	−19.6777	−	19.6777i	−0.684260	−	0.684260i	−0.960957	+	0.276697i	$0.910760\pi$
$828$	−27.7671	−	5.16076i	−0.964974	−	0.179349i
$829$	−11.1352	+	6.42893i	−0.386743	+	0.223286i	−0.680748	−	0.732518i	$-0.738345\pi$
$829$	−11.1352	+	6.42893i	−0.386743	+	0.223286i	0.294005	+	0.955804i	$0.405012\pi$
$830$	13.8354	−	51.6344i	0.480233	−	1.79226i
$831$	−2.97091	−	1.09687i	−0.103060	−	0.0380501i
$832$	−21.0000	+	14.0000i	−0.728044	+	0.485363i
$833$	−9.94655	+	24.8848i	−0.344627	+	0.862206i
$834$	−17.0711	+	24.1421i	−0.591123	+	0.835974i
$835$	−20.4350	+	35.3945i	−0.707183	+	1.22488i
$836$	−0.399495	−	0.691946i	−0.0138168	−	0.0239314i
$837$	6.15748	+	24.3219i	0.212834	+	0.840688i
$838$	−30.0123	+	8.04178i	−1.03676	+	0.277799i
$839$	32.6066	+	32.6066i	1.12570	+	1.12570i	0.990868	+	0.134837i	$0.0430511\pi$
$839$	32.6066	+	32.6066i	1.12570	+	1.12570i	0.134837	+	0.990868i	$0.456949\pi$
$840$	13.0620	−	45.0836i	0.450681	−	1.55553i
$841$	28.0000			0.965517
$842$	−2.17157	+	3.76127i	−0.0748373	+	0.129622i
$843$	1.36444	−	14.8083i	0.0469939	−	0.510025i
$844$	−0.804479	+	0.464466i	−0.0276913	+	0.0159876i
$845$	43.9928	+	5.88542i	1.51340	+	0.202465i
$846$	−30.1421	+	10.6569i	−1.03631	+	0.366390i
$847$	24.0329	−	16.2755i	0.825780	−	0.559234i
$848$			2.65685i			0.0912367i
$849$	35.4200	+	13.0772i	1.21561	+	0.448809i
$850$	−6.59608	+	24.6169i	−0.226244	+	0.844352i
$851$	36.3737	+	9.74631i	1.24688	+	0.334099i
$852$	−16.7646	+	7.72350i	−0.574347	+	0.264603i
$853$	11.0711	−	11.0711i	0.379066	−	0.379066i	−0.491699	−	0.870765i	$-0.663624\pi$
$853$	11.0711	−	11.0711i	0.379066	−	0.379066i	0.870765	+	0.491699i	$0.163624\pi$
$854$	1.73205	−	2.00000i	0.0592696	−	0.0684386i
$855$	−44.9706	+	15.8995i	−1.53796	+	0.543751i
$856$	0.909676	+	3.39496i	0.0310921	+	0.116037i
$857$	14.2990	+	24.7666i	0.488444	+	0.846010i	0.999912	−	0.0132925i	$-0.00423126\pi$
$857$	14.2990	+	24.7666i	0.488444	+	0.846010i	−0.511467	+	0.859303i	$0.670898\pi$
$858$	0.305647	−	1.02695i	0.0104346	−	0.0350596i
$859$	−9.89949	+	17.1464i	−0.337766	+	0.585029i	−0.984012	−	0.178101i	$-0.943005\pi$
$859$	−9.89949	+	17.1464i	−0.337766	+	0.585029i	0.646246	+	0.763129i	$0.276338\pi$
$860$	14.4853	−	14.4853i	0.493944	−	0.493944i
$861$	−13.4125	+	22.1835i	−0.457095	+	0.756010i
$862$		−	20.8284i		−	0.709419i
$863$	7.66052	+	28.5895i	0.260767	+	0.973196i	0.964791	+	0.263019i	$0.0847184\pi$
$863$	7.66052	+	28.5895i	0.260767	+	0.973196i	−0.704023	+	0.710177i	$0.748615\pi$
$864$	−25.1862	+	6.37628i	−0.856851	+	0.216925i
$865$	4.89828	+	1.31249i	0.166546	+	0.0446260i
$866$	22.3536	−	5.98963i	0.759606	−	0.203536i
$867$	4.00000	−	0.686292i	0.135847	−	0.0233077i
$868$	−12.5446	−	2.41421i	−0.425792	−	0.0819437i
$869$	0.171573	+	0.171573i	0.00582021	+	0.00582021i
$870$	2.04819	−	5.54757i	0.0694401	−	0.188080i
$871$	11.9037	−	4.02687i	0.403341	−	0.136445i
$872$	11.9142	−	6.87868i	0.403466	−	0.232941i
$873$	24.4837	−	16.8091i	0.828649	−	0.568902i
$874$	43.8406			1.48293
$875$	14.1421	−	4.89898i	0.478091	−	0.165616i
$876$	−10.1421	−	7.17157i	−0.342671	−	0.242305i
$877$	44.1011	−	11.8169i	1.48919	−	0.399027i	0.579726	−	0.814811i	$-0.303160\pi$
$877$	44.1011	−	11.8169i	1.48919	−	0.399027i	0.909463	+	0.415784i	$0.136493\pi$
$878$	0.998489	−	3.72641i	0.0336974	−	0.125760i
$879$	4.30210	−	46.6907i	0.145106	−	1.57484i
$880$	−0.292893	+	0.507306i	−0.00987343	+	0.0171013i
$881$	2.00000			0.0673817			0.0336909	−	0.999432i	$-0.489274\pi$
$881$	2.00000			0.0673817			0.0336909	+	0.999432i	$0.489274\pi$
$882$	14.2372	+	15.4371i	0.479390	+	0.519793i
$883$		−	18.1421i		−	0.610531i	−0.952267	−	0.305266i	$-0.901255\pi$
$883$		−	18.1421i		−	0.610531i	0.952267	−	0.305266i	$-0.0987453\pi$
$884$	−0.888390	−	13.7750i	−0.0298798	−	0.463302i
$885$	28.2962	+	34.0398i	0.951165	+	1.14424i
$886$	−7.95297	+	29.6809i	−0.267185	+	0.997149i
$887$	−32.1405	−	18.5563i	−1.07917	−	0.623061i	−0.148500	−	0.988912i	$-0.547445\pi$
$887$	−32.1405	−	18.5563i	−1.07917	−	0.623061i	−0.930673	+	0.365851i	$0.880778\pi$
$888$	20.4853	−	3.51472i	0.687441	−	0.117946i
$889$	28.9000	+	14.0290i	0.969274	+	0.470516i
$890$	10.8284	−	10.8284i	0.362970	−	0.362970i
$891$	0.908887	−	1.24834i	0.0304488	−	0.0418208i
$892$	4.82963	+	1.29410i	0.161708	+	0.0433295i
$893$	−42.9786	+	24.8137i	−1.43822	+	0.830359i
$894$	−4.03820	−	1.49092i	−0.135057	−	0.0498639i
$895$	−44.6274	+	44.6274i	−1.49173	+	1.49173i
$896$	1.50000	−	7.79423i	0.0501115	−	0.260387i
$897$	−40.4142	−	42.6985i	−1.34939	−	1.42566i
$898$	−1.41421	+	2.44949i	−0.0471929	+	0.0817405i
$899$	−4.66390	−	1.24969i	−0.155550	−	0.0416795i
$900$	−15.1792	−	12.9775i	−0.505974	−	0.432582i
$901$	−8.80884	−	5.08579i	−0.293465	−	0.169432i
$902$	0.686292	−	0.686292i	0.0228510	−	0.0228510i
$903$	6.57826	+	26.6969i	0.218911	+	0.888418i
$904$	19.0919	−	19.0919i	0.634987	−	0.634987i
$905$	63.1284	−	16.9152i	2.09846	−	0.562280i
$906$	−18.8758	+	15.6909i	−0.627108	+	0.521294i
$907$	−31.8944	+	18.4142i	−1.05903	+	0.611434i	−0.925165	−	0.379565i	$-0.876074\pi$
$907$	−31.8944	+	18.4142i	−1.05903	+	0.611434i	−0.133870	+	0.990999i	$0.542740\pi$
$908$	5.79555	−	1.55291i	0.192332	−	0.0515353i
$909$	11.3137	−	4.00000i	0.375252	−	0.132672i
$910$	25.7361	−	19.9606i	0.853144	−	0.661687i
$911$			32.4264i			1.07433i	0.843476	+	0.537167i	$0.180506\pi$
$911$			32.4264i			1.07433i	−0.843476	+	0.537167i	$0.819494\pi$
$912$	7.32585	−	3.37503i	0.242583	−	0.111758i
$913$	1.34315	+	2.32640i	0.0444516	+	0.0769925i
$914$	−17.7782	−	30.7927i	−0.588050	−	1.01853i
$915$	−2.47443	−	5.37101i	−0.0818023	−	0.177560i
$916$	15.8995	+	15.8995i	0.525334	+	0.525334i
$917$	−15.7106	+	10.6395i	−0.518808	+	0.351347i
$918$	−5.41421	+	19.1421i	−0.178696	+	0.631785i
$919$	−7.82843	+	13.5592i	−0.258236	+	0.447278i	−0.965769	−	0.259402i	$-0.916475\pi$
$919$	−7.82843	+	13.5592i	−0.258236	+	0.447278i	0.707533	+	0.706680i	$0.249808\pi$
$920$	48.2132	+	83.5077i	1.58954	+	2.75317i
$921$	−8.62372	−	0.794593i	−0.284161	−	0.0261827i
$922$	17.0594	+	9.84924i	0.561821	+	0.324368i
$923$	−37.6777	−	7.53553i	−1.24018	−	0.248035i
$924$	0.379284	+	0.688713i	0.0124775	+	0.0226570i
$925$	18.8284	+	18.8284i	0.619075	+	0.619075i
$926$	4.89898	+	2.82843i	0.160990	+	0.0929479i
$927$	20.4409	−	23.9089i	0.671369	−	0.785273i
$928$	1.29410	−	4.82963i	0.0424808	−	0.158540i
$929$	10.9960	+	41.0376i	0.360767	+	1.34640i	0.873069	+	0.487596i	$0.162126\pi$
$929$	10.9960	+	41.0376i	0.360767	+	1.34640i	−0.512302	+	0.858805i	$0.671207\pi$
$930$	16.4853	−	23.3137i	0.540574	−	0.764487i
$931$	26.1067	+	19.5209i	0.855613	+	0.639773i
$932$		−	12.6569i		−	0.414589i
$933$	−18.0823	+	48.9763i	−0.591987	+	1.60341i
$934$	10.5967	+	2.83939i	0.346736	+	0.0929077i
$935$	−1.12132	−	1.94218i	−0.0366711	−	0.0635162i
$936$	−30.1212	−	12.0712i	−0.984542	−	0.394560i
$937$	−35.2843			−1.15269			−0.576343	−	0.817208i	$-0.695521\pi$
$937$	−35.2843			−1.15269			−0.576343	+	0.817208i	$0.695521\pi$
$938$	4.02687	−	8.29546i	0.131482	−	0.270856i
$939$	−21.0711	+	3.61522i	−0.687628	+	0.117978i
$940$	−31.5101	−	18.1924i	−1.02775	−	0.593370i
$941$	6.02993	+	1.61571i	0.196570	+	0.0526708i	0.355761	−	0.934577i	$-0.384222\pi$
$941$	6.02993	+	1.61571i	0.196570	+	0.0526708i	−0.159191	+	0.987248i	$0.550888\pi$
$942$	6.60306	+	0.608408i	0.215139	+	0.0198230i
$943$	−13.7834	−	51.4402i	−0.448848	−	1.67512i
$944$	−5.29289	−	5.29289i	−0.172269	−	0.172269i
$945$	44.5604	−	14.7485i	1.44955	−	0.479770i
$946$		−	1.02944i		−	0.0334699i
$947$	−42.0036	+	11.2548i	−1.36493	+	0.365732i	−0.865625	−	0.500693i	$-0.833079\pi$
$947$	−42.0036	+	11.2548i	−1.36493	+	0.365732i	−0.499307	+	0.866425i	$0.666412\pi$
$948$	1.88366	−	1.56583i	0.0611785	−	0.0508557i
$949$	−8.28600	−	24.4939i	−0.268975	−	0.795106i
$950$	26.8468	+	15.5000i	0.871025	+	0.502886i
$951$	31.0711	−	43.9411i	1.00755	−	1.42489i
$952$	−22.9706	−	19.8931i	−0.744480	−	0.644739i
$953$	3.14214			0.101784			0.0508919	−	0.998704i	$-0.483794\pi$
$953$	3.14214			0.101784			0.0508919	+	0.998704i	$0.483794\pi$
$954$	−6.57102	+	4.51128i	−0.212745	+	0.146058i
$955$	14.9963	−	55.9668i	0.485268	−	1.81104i
$956$	4.22230	−	15.7578i	0.136559	−	0.509645i
$957$	0.124347	+	0.269907i	0.00401955	+	0.00872485i
$958$	12.5147			0.404332
$959$	17.1716	+	14.8710i	0.554499	+	0.480210i
$960$	33.7990	+	23.8995i	1.09086	+	0.771353i
$961$	6.65652	+	3.84315i	0.214727	+	0.123972i
$962$	12.9282	+	6.39230i	0.416822	+	0.206096i
$963$	−2.28397	+	2.67147i	−0.0735999	+	0.0860868i
$964$	−13.2886	+	3.56067i	−0.427997	+	0.114681i
$965$		−	9.65685i		−	0.310865i
$966$	−43.1325	−	0.871704i	−1.38777	−	0.0280466i
$967$	38.6066	+	38.6066i	1.24150	+	1.24150i	0.959377	+	0.282128i	$0.0910402\pi$
$967$	38.6066	+	38.6066i	1.24150	+	1.24150i	0.282128	+	0.959377i	$0.408960\pi$
$968$	8.51817	+	31.7902i	0.273784	+	1.02178i
$969$	−2.83327	+	30.7495i	−0.0910177	+	0.987816i
$970$	−32.6473	−	8.74782i	−1.04824	−	0.280876i
$971$	−0.0870399	−	0.0502525i	−0.00279324	−	0.00161268i	0.498603	−	0.866831i	$-0.333847\pi$
$971$	−0.0870399	−	0.0502525i	−0.00279324	−	0.00161268i	−0.501396	+	0.865218i	$0.667180\pi$
$972$	−11.7071	−	10.2929i	−0.375506	−	0.330145i
$973$	19.7238	−	40.6315i	0.632317	−	1.30259i
$974$	−20.6569			−0.661888
$975$	−9.65236	−	40.4360i	−0.309123	−	1.29499i
$976$	0.500000	+	0.866025i	0.0160046	+	0.0277208i
$977$	−51.6746	−	13.8462i	−1.65322	−	0.442978i	−0.692706	−	0.721220i	$-0.743582\pi$
$977$	−51.6746	−	13.8462i	−1.65322	−	0.442978i	−0.960511	+	0.278242i	$0.910248\pi$
$978$	12.7200	+	4.69628i	0.406740	+	0.150170i
$979$			0.769553i			0.0245950i
$980$	−2.82432	+	23.7320i	−0.0902197	+	0.758092i
$981$	12.4142	+	5.92893i	0.396355	+	0.189296i
$982$	8.59621	+	32.0815i	0.274316	+	1.02376i
$983$	13.7174	−	51.1941i	0.437517	−	1.63284i	−0.297452	−	0.954737i	$-0.596137\pi$
$983$	13.7174	−	51.1941i	0.437517	−	1.63284i	0.734969	−	0.678100i	$-0.237197\pi$
$984$	−18.7899	−	22.6040i	−0.599001	−	0.720588i
$985$	−20.9077	−	12.0711i	−0.666175	−	0.384616i
$986$	−2.70711	−	2.70711i	−0.0862118	−	0.0862118i
$987$	42.7778	−	23.5584i	1.36163	−	0.749871i
$988$	−16.4645	−	3.29289i	−0.523804	−	0.104761i
$989$	−48.9177	−	28.2426i	−1.55549	−	0.898064i
$990$	−1.75201	+	0.137001i	−0.0556826	+	0.00435417i
$991$	−13.4645	−	23.3211i	−0.427713	−	0.740820i	0.568957	−	0.822368i	$-0.307347\pi$
$991$	−13.4645	−	23.3211i	−0.427713	−	0.740820i	−0.996669	+	0.0815471i	$0.974014\pi$
$992$	12.0711	−	20.9077i	0.383257	−	0.663820i
$993$	38.8284	+	27.4558i	1.23218	+	0.871285i
$994$	−23.3457	+	15.8101i	−0.740479	+	0.501467i
$995$	−2.24264	−	2.24264i	−0.0710965	−	0.0710965i
$996$	24.6303	−	11.3472i	0.780441	−	0.359551i
$997$	−16.9142	−	29.2963i	−0.535679	−	0.927822i	−0.999130	−	0.0417002i	$-0.986723\pi$
$997$	−16.9142	−	29.2963i	−0.535679	−	0.927822i	0.463452	−	0.886122i	$-0.346611\pi$
$998$	−14.8284	−	25.6836i	−0.469386	−	0.813000i
$999$	14.4921	+	14.8990i	0.458509	+	0.471383i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	273.2.cd.d.86.2	yes	8
3.2	odd	2		273.2.cd.c.86.1	yes	8
7.4	even	3	inner	273.2.cd.d.242.1	yes	8
13.5	odd	4		273.2.cd.c.44.2	✓	8
21.11	odd	6		273.2.cd.c.242.2	yes	8
39.5	even	4	inner	273.2.cd.d.44.1	yes	8
91.18	odd	12		273.2.cd.c.200.1	yes	8
273.200	even	12	inner	273.2.cd.d.200.2	yes	8

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
273.2.cd.c.44.2	✓	8	13.5	odd	4
273.2.cd.c.86.1	yes	8	3.2	odd	2
273.2.cd.c.200.1	yes	8	91.18	odd	12
273.2.cd.c.242.2	yes	8	21.11	odd	6
273.2.cd.d.44.1	yes	8	39.5	even	4	inner
273.2.cd.d.86.2	yes	8	1.1	even	1	trivial
273.2.cd.d.200.2	yes	8	273.200	even	12	inner
273.2.cd.d.242.1	yes	8	7.4	even	3	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:	\( N \)	\(=\)	\( 273 = 3 \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	273.cd (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.258819 + 0.965926i) q^{2} +(1.10721 + 1.33195i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-0.883663 - 3.29788i) q^{5} +(-1.00000 + 1.41421i) q^{6} +(1.15539 - 2.38014i) q^{7} +(2.12132 + 2.12132i) q^{8} +(-0.548188 + 2.94949i) q^{9} +O(q^{10})\)	\(q+(0.258819 + 0.965926i) q^{2} +(1.10721 + 1.33195i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-0.883663 - 3.29788i) q^{5} +(-1.00000 + 1.41421i) q^{6} +(1.15539 - 2.38014i) q^{7} +(2.12132 + 2.12132i) q^{8} +(-0.548188 + 2.94949i) q^{9} +(2.95680 - 1.70711i) q^{10} +(-0.0444063 + 0.165727i) q^{11} +(1.62484 + 0.599900i) q^{12} +(2.00000 + 3.00000i) q^{13} +(2.59808 + 0.500000i) q^{14} +(3.41421 - 4.82843i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-1.91421 - 3.31552i) q^{17} +(-2.99087 + 0.233875i) q^{18} +(-4.49818 + 1.20528i) q^{19} +(-2.41421 - 2.41421i) q^{20} +(4.44949 - 1.09638i) q^{21} -0.171573 q^{22} +(-4.70711 + 8.15295i) q^{23} +(-0.476756 + 5.17423i) q^{24} +(-5.76500 + 3.32843i) q^{25} +(-2.38014 + 2.70831i) q^{26} +(-4.53553 + 2.53553i) q^{27} +(-0.189469 - 2.63896i) q^{28} -1.00000i q^{29} +(5.54757 + 2.04819i) q^{30} +(1.24969 - 4.66390i) q^{31} +(4.82963 + 1.29410i) q^{32} +(-0.269907 + 0.124347i) q^{33} +(2.70711 - 2.70711i) q^{34} +(-8.87039 - 1.70711i) q^{35} +(1.00000 + 2.82843i) q^{36} +(-1.03528 - 3.86370i) q^{37} +(-2.32843 - 4.03295i) q^{38} +(-1.78144 + 5.98552i) q^{39} +(5.12132 - 8.87039i) q^{40} +(-4.00000 + 4.00000i) q^{41} +(2.21063 + 4.01411i) q^{42} +6.00000i q^{43} +(0.0444063 + 0.165727i) q^{44} +(10.2115 - 0.798499i) q^{45} +(-9.09343 - 2.43658i) q^{46} +(10.2937 - 2.75820i) q^{47} +(-1.70711 + 0.292893i) q^{48} +(-4.33013 - 5.50000i) q^{49} +(-4.70711 - 4.70711i) q^{50} +(2.29668 - 6.22060i) q^{51} +(3.23205 + 1.59808i) q^{52} +(2.30090 - 1.32843i) q^{53} +(-3.62302 - 3.72474i) q^{54} +0.585786 q^{55} +(7.50000 - 2.59808i) q^{56} +(-6.58579 - 4.65685i) q^{57} +(0.965926 - 0.258819i) q^{58} +(-1.93733 + 7.23023i) q^{59} +(0.542582 - 5.88865i) q^{60} +(0.500000 - 0.866025i) q^{61} +4.82843 q^{62} +(6.38682 + 4.71259i) q^{63} +7.00000i q^{64} +(8.12630 - 9.24674i) q^{65} +(-0.189967 - 0.228527i) q^{66} +(0.902057 - 3.36652i) q^{67} +(-3.31552 - 1.91421i) q^{68} +(-16.0711 + 2.75736i) q^{69} +(-0.646887 - 9.00997i) q^{70} +(-7.53553 + 7.53553i) q^{71} +(-7.41970 + 5.09393i) q^{72} +(-6.92721 - 1.85614i) q^{73} +(3.46410 - 2.00000i) q^{74} +(-10.8164 - 3.99345i) q^{75} +(-3.29289 + 3.29289i) q^{76} +(0.343146 + 0.297173i) q^{77} +(-6.24264 - 0.171573i) q^{78} +(0.707107 - 1.22474i) q^{79} +(3.29788 + 0.883663i) q^{80} +(-8.39898 - 3.23375i) q^{81} +(-4.89898 - 2.82843i) q^{82} +(11.0711 - 11.0711i) q^{83} +(3.30518 - 3.17423i) q^{84} +(-9.24264 + 9.24264i) q^{85} +(-5.79555 + 1.55291i) q^{86} +(1.33195 - 1.10721i) q^{87} +(-0.445759 + 0.257359i) q^{88} +(4.33245 - 1.16088i) q^{89} +(3.41421 + 9.65685i) q^{90} +(9.45121 - 1.29410i) q^{91} +9.41421i q^{92} +(7.59575 - 3.49938i) q^{93} +(5.32843 + 9.22911i) q^{94} +(7.94975 + 13.7694i) q^{95} +(3.62372 + 7.86566i) q^{96} +(-7.00000 - 7.00000i) q^{97} +(4.19187 - 5.60609i) q^{98} +(-0.464466 - 0.221825i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 8 q + 4 q^{3} + 4 q^{5} - 8 q^{6}+O(q^{10}) \) 8 * q + 4 * q^3 + 4 * q^5 - 8 * q^6	\( 8 q + 4 q^{3} + 4 q^{5} - 8 q^{6} - 8 q^{11} + 4 q^{12} + 16 q^{13} + 16 q^{15} - 4 q^{16} - 4 q^{17} - 8 q^{18} - 16 q^{19} - 8 q^{20} + 16 q^{21} - 24 q^{22} - 32 q^{23} - 8 q^{27} + 4 q^{30} - 8 q^{31} + 16 q^{33} + 16 q^{34} + 8 q^{36} + 4 q^{38} + 20 q^{39} + 24 q^{40} - 32 q^{41} + 20 q^{42} + 8 q^{44} + 12 q^{45} - 4 q^{46} + 16 q^{47} - 8 q^{48} - 32 q^{50} + 12 q^{51} + 12 q^{52} + 16 q^{55} + 60 q^{56} - 64 q^{57} + 24 q^{59} - 8 q^{60} + 4 q^{61} + 16 q^{62} - 8 q^{63} + 20 q^{65} - 4 q^{66} - 24 q^{67} - 72 q^{69} - 16 q^{70} - 32 q^{71} - 24 q^{72} + 8 q^{73} + 12 q^{75} - 32 q^{76} + 48 q^{77} - 16 q^{78} + 4 q^{80} - 28 q^{81} + 32 q^{83} - 40 q^{85} - 4 q^{87} + 24 q^{89} + 16 q^{90} + 16 q^{93} + 20 q^{94} + 24 q^{95} - 20 q^{96} - 56 q^{97} - 32 q^{99}+O(q^{100}) \) 8 * q + 4 * q^3 + 4 * q^5 - 8 * q^6 - 8 * q^11 + 4 * q^12 + 16 * q^13 + 16 * q^15 - 4 * q^16 - 4 * q^17 - 8 * q^18 - 16 * q^19 - 8 * q^20 + 16 * q^21 - 24 * q^22 - 32 * q^23 - 8 * q^27 + 4 * q^30 - 8 * q^31 + 16 * q^33 + 16 * q^34 + 8 * q^36 + 4 * q^38 + 20 * q^39 + 24 * q^40 - 32 * q^41 + 20 * q^42 + 8 * q^44 + 12 * q^45 - 4 * q^46 + 16 * q^47 - 8 * q^48 - 32 * q^50 + 12 * q^51 + 12 * q^52 + 16 * q^55 + 60 * q^56 - 64 * q^57 + 24 * q^59 - 8 * q^60 + 4 * q^61 + 16 * q^62 - 8 * q^63 + 20 * q^65 - 4 * q^66 - 24 * q^67 - 72 * q^69 - 16 * q^70 - 32 * q^71 - 24 * q^72 + 8 * q^73 + 12 * q^75 - 32 * q^76 + 48 * q^77 - 16 * q^78 + 4 * q^80 - 28 * q^81 + 32 * q^83 - 40 * q^85 - 4 * q^87 + 24 * q^89 + 16 * q^90 + 16 * q^93 + 20 * q^94 + 24 * q^95 - 20 * q^96 - 56 * q^97 - 32 * q^99

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