LMFDB - Embedded newform 273.2.cd.d.200.2

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			200.2
Root			$-0.965926 - 0.258819i$ of defining polynomial
Character	$\chi$	$=$	273.200
Dual form			273.2.cd.d.86.2

$q$-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 $\left(\mathbb{Z}/273\mathbb{Z}\right)^\times$.

$n$	$92$	$106$	$157$
$\chi(n)$	$-1$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{2}{3}\right)$

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 $

$2$	0.258819	−	0.965926i	0.183013	−	0.683013i	−0.812035	−	0.583609i	$-0.801640\pi$
$2$	0.258819	−	0.965926i	0.183013	−	0.683013i	0.995047	−	0.0994033i	$-0.0316934\pi$
$3$	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	0.426276	+	0.904593i	$0.359825\pi$
$5$	−0.883663	+	3.29788i	−0.395186	+	1.47486i	−0.821463	+	0.570262i	$0.806842\pi$
$6$	−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	0.958908	−	0.283717i	$-0.0915675\pi$
$11$	−0.0444063	−	0.165727i	−0.0133890	−	0.0499685i	−0.972297	+	0.233748i	$0.924901\pi$
$12$	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	−0.999168	−	0.0407829i	$-0.987015\pi$
$17$	−1.91421	+	3.31552i	−0.464265	+	0.804131i	0.534903	+	0.844913i	$0.320348\pi$
$18$	−2.99087	−	0.233875i	−0.704955	−	0.0551249i
$19$	−4.49818	−	1.20528i	−1.03195	−	0.276511i	−0.297178	−	0.954822i	$-0.596045\pi$
$19$	−4.49818	−	1.20528i	−1.03195	−	0.276511i	−0.734775	+	0.678311i	$0.762712\pi$
$20$	−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	−0.656563	−	0.754272i	$-0.727990\pi$
$23$	−4.70711	−	8.15295i	−0.981500	−	1.70001i	−0.324937	−	0.945736i	$-0.605343\pi$
$24$	−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	$0.0295970\pi$
$29$			1.00000i			0.185695i	−0.995680	+	0.0928477i	$0.970403\pi$
$30$	5.54757	−	2.04819i	1.01284	−	0.373946i
$31$	1.24969	+	4.66390i	0.224451	+	0.837662i	0.982624	+	0.185608i	$0.0594255\pi$
$31$	1.24969	+	4.66390i	0.224451	+	0.837662i	−0.758173	+	0.652053i	$0.773908\pi$
$32$	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	0.827121	+	0.562023i	$0.189977\pi$
$37$	−1.03528	+	3.86370i	−0.170198	+	0.635189i	−0.997320	+	0.0731657i	$0.976690\pi$
$38$	−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	0.322033	−	0.946728i	$-0.395634\pi$
$41$	−4.00000	−	4.00000i	−0.624695	−	0.624695i	−0.946728	+	0.322033i	$0.895634\pi$
$42$	2.21063	−	4.01411i	0.341108	−	0.619391i
$43$		−	6.00000i		−	0.914991i	−0.889212	−	0.457496i	$-0.848747\pi$
$43$		−	6.00000i		−	0.914991i	0.889212	−	0.457496i	$-0.151253\pi$
$44$	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	0.913600	−	0.406613i	$-0.133290\pi$
$47$	10.2937	+	2.75820i	1.50149	+	0.402324i	0.587895	+	0.808938i	$0.299957\pi$
$48$	−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	0.649632	−	0.760249i	$-0.274923\pi$
$53$	2.30090	+	1.32843i	0.316053	+	0.182473i	−0.333579	+	0.942722i	$0.608256\pi$
$54$	−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	−0.969616	−	0.244631i	$-0.921333\pi$
$59$	−1.93733	−	7.23023i	−0.252219	−	0.941295i	0.717397	−	0.696665i	$-0.245333\pi$
$60$	0.542582	+	5.88865i	0.0700471	+	0.760221i
$61$	0.500000	+	0.866025i	0.0640184	+	0.110883i	0.896258	−	0.443533i	$-0.146275\pi$
$61$	0.500000	+	0.866025i	0.0640184	+	0.110883i	−0.832240	+	0.554416i	$0.812942\pi$
$62$	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	0.998883	−	0.0472424i	$-0.0150433\pi$
$67$	0.902057	+	3.36652i	0.110204	+	0.411286i	−0.888680	+	0.458529i	$0.848377\pi$
$68$	−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	0.100621	−	0.994925i	$-0.467917\pi$
$71$	−7.53553	−	7.53553i	−0.894303	−	0.894303i	−0.994925	+	0.100621i	$0.967917\pi$
$72$	−7.41970	−	5.09393i	−0.874419	−	0.600325i
$73$	−6.92721	+	1.85614i	−0.810768	+	0.217245i	−0.640306	−	0.768120i	$-0.721193\pi$
$73$	−6.92721	+	1.85614i	−0.810768	+	0.217245i	−0.170462	+	0.985364i	$0.554526\pi$
$74$	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	0.903058	−	0.429518i	$-0.141317\pi$
$79$	0.707107	+	1.22474i	0.0795557	+	0.137795i	−0.823503	+	0.567312i	$0.807983\pi$
$80$	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	0.969291	+	0.245917i	$0.0790889\pi$
$83$	11.0711	+	11.0711i	1.21521	+	1.21521i	0.245917	+	0.969291i	$0.420911\pi$
$84$	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	0.481019	−	0.876710i	$-0.340267\pi$
$89$	4.33245	+	1.16088i	0.459239	+	0.123053i	−0.0217804	+	0.999763i	$0.506933\pi$
$90$	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	−0.966691	−	0.255948i	$-0.917612\pi$
$97$	−7.00000	+	7.00000i	−0.710742	+	0.710742i	0.255948	+	0.966691i	$0.417612\pi$
$98$	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	−0.948207	−	0.317653i	$-0.897105\pi$
$101$	−2.00000	+	3.46410i	−0.199007	+	0.344691i	0.749199	+	0.662344i	$0.230438\pi$
$102$	6.60306	−	0.608408i	0.653800	−	0.0602414i
$103$	−9.08052	+	5.24264i	−0.894730	+	0.516573i	−0.875487	−	0.483242i	$-0.839459\pi$
$103$	−9.08052	+	5.24264i	−0.894730	+	0.516573i	−0.0192435	+	0.999815i	$0.506126\pi$
$104$	−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	−0.450154	−	0.892951i	$-0.648631\pi$
$107$	1.01461	−	0.585786i	0.0980862	−	0.0566301i	0.548241	+	0.836321i	$0.315298\pi$
$108$	−2.66012	−	4.46360i	−0.255970	−	0.429510i
$109$	1.18689	+	4.42953i	0.113683	+	0.424272i	0.999185	−	0.0403642i	$-0.0128518\pi$
$109$	1.18689	+	4.42953i	0.113683	+	0.424272i	−0.885502	+	0.464636i	$0.846185\pi$
$110$	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	$0.139137\pi$
$113$			9.00000i			0.846649i	−0.905978	+	0.423324i	$0.860863\pi$
$114$	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	$-0.818908\pi$
$127$		−	12.1421i		−	1.07744i	0.842485	−	0.538720i	$-0.181092\pi$
$128$	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	−0.746147	−	0.665781i	$-0.768098\pi$
$131$	−6.21076	+	3.58579i	−0.542637	+	0.313292i	0.203510	+	0.979073i	$0.434765\pi$
$132$	−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	−0.993540	−	0.113487i	$-0.963798\pi$
$137$	−2.22217	−	8.29323i	−0.189852	−	0.708539i	0.803687	−	0.595052i	$-0.202869\pi$
$138$	−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	−0.934560	−	0.355807i	$-0.884206\pi$
$149$	0.643238	−	2.40060i	0.0526961	−	0.196665i	0.987256	+	0.159142i	$0.0508728\pi$
$150$	1.05790	+	11.4814i	0.0863770	+	0.937450i
$151$	13.6887	−	3.66787i	1.11397	−	0.298487i	0.345529	−	0.938408i	$-0.387700\pi$
$151$	13.6887	−	3.66787i	1.11397	−	0.298487i	0.768441	+	0.639921i	$0.221033\pi$
$152$	−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	−0.932245	−	0.361827i	$-0.882153\pi$
$157$	−1.91421	+	3.31552i	−0.152771	+	0.264607i	0.779474	+	0.626434i	$0.215486\pi$
$158$	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	0.840060	+	0.542493i	$0.182520\pi$
$163$	−2.02615	+	7.56168i	−0.158700	+	0.592276i	−0.998760	+	0.0497831i	$0.984147\pi$
$164$	−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	−0.954193	−	0.299193i	$-0.903283\pi$
$167$	−8.46447	+	8.46447i	−0.655000	+	0.655000i	0.299193	+	0.954193i	$0.403283\pi$
$168$	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	0.836413	−	0.548100i	$-0.184649\pi$
$173$	−0.742641	−	1.28629i	−0.0564619	−	0.0977949i	−0.892875	+	0.450305i	$0.851315\pi$
$174$	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	0.280740	+	0.959784i	$0.409420\pi$
$179$	−9.24264	+	16.0087i	−0.690827	+	1.19655i	−0.971567	+	0.236764i	$0.923913\pi$
$180$	8.44414	+	5.79725i	0.629389	+	0.432102i
$181$		−	19.1421i		−	1.42282i	−0.702775	−	0.711412i	$-0.748056\pi$
$181$		−	19.1421i		−	1.42282i	0.702775	−	0.711412i	$-0.251944\pi$
$182$	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	0.137053	−	0.990564i	$-0.456237\pi$
$191$	14.6969	−	8.48528i	1.06343	−	0.613973i	0.926380	+	0.376590i	$0.122904\pi$
$192$	−9.32366	−	7.75044i	−0.672877	−	0.559340i
$193$	2.73205	−	0.732051i	0.196657	−	0.0526942i	−0.159146	−	0.987255i	$-0.550874\pi$
$193$	2.73205	−	0.732051i	0.196657	−	0.0526942i	0.355803	+	0.934561i	$0.384207\pi$
$194$	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	0.862423	−	0.506188i	$-0.168946\pi$
$197$	5.00000	+	5.00000i	0.356235	+	0.356235i	−0.506188	+	0.862423i	$0.668946\pi$
$198$	0.0940542	+	0.506052i	0.00668414	+	0.0359636i
$199$	0.804479	+	0.464466i	0.0570280	+	0.0329251i	0.528243	−	0.849093i	$-0.322851\pi$
$199$	0.804479	+	0.464466i	0.0570280	+	0.0329251i	−0.471215	+	0.882018i	$0.656184\pi$
$200$	−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	−0.578749	−	0.815506i	$-0.696459\pi$
$223$	3.53553	−	3.53553i	0.236757	−	0.236757i	0.815506	+	0.578749i	$0.196459\pi$
$224$	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	−0.0613041	−	0.998119i	$-0.519526\pi$
$227$	5.79555	−	1.55291i	0.384664	−	0.103071i	0.445969	+	0.895049i	$0.352859\pi$
$228$	−8.03189	+	0.740061i	−0.531925	+	0.0490117i
$229$	5.81962	−	21.7191i	0.384571	−	1.43524i	−0.454270	−	0.890864i	$-0.650100\pi$
$229$	5.81962	−	21.7191i	0.384571	−	1.43524i	0.838842	−	0.544376i	$-0.183233\pi$
$230$		−	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	0.995385	−	0.0959597i	$-0.0305920\pi$
$233$	6.32843	+	10.9612i	0.414589	+	0.718089i	−0.580796	+	0.814049i	$0.697259\pi$
$234$	−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	0.973758	−	0.227586i	$-0.0730834\pi$
$239$	11.5355	+	11.5355i	0.746172	+	0.746172i	−0.227586	+	0.973758i	$0.573083\pi$
$240$	2.47443	−	5.37101i	0.159724	−	0.346697i
$241$	−13.2886	+	3.56067i	−0.855993	+	0.229363i	−0.660021	−	0.751247i	$-0.729453\pi$
$241$	−13.2886	+	3.56067i	−0.855993	+	0.229363i	−0.195972	+	0.980610i	$0.562786\pi$
$242$	−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	0.584168	−	0.811632i	$-0.301421\pi$
$257$	−6.58579	−	11.4069i	−0.410810	−	0.711544i	−0.994979	+	0.100089i	$0.968087\pi$
$258$	−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	0.590901	−	0.806744i	$-0.298772\pi$
$263$	3.04384	+	1.75736i	0.187691	+	0.108363i	−0.403210	+	0.915107i	$0.632106\pi$
$264$	−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	0.303674	−	0.952776i	$-0.401787\pi$
$269$	−6.06218	−	3.50000i	−0.369618	−	0.213399i	−0.673291	+	0.739377i	$0.735120\pi$
$270$	−9.08222	−	15.2397i	−0.552726	−	0.927458i
$271$	2.54378	−	9.49353i	0.154524	−	0.576691i	−0.844622	−	0.535363i	$-0.820175\pi$
$271$	2.54378	−	9.49353i	0.154524	−	0.576691i	0.999146	−	0.0413275i	$-0.0131587\pi$
$272$	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	0.451675	−	0.892183i	$-0.350827\pi$
$277$	−1.58346	−	0.914214i	−0.0951412	−	0.0549298i	−0.546816	+	0.837253i	$0.684160\pi$
$278$	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	−0.864611	−	0.502442i	$-0.832435\pi$
$281$	−6.07107	+	6.07107i	−0.362170	+	0.362170i	0.502442	+	0.864611i	$0.332435\pi$
$282$	−6.39305	−	17.3157i	−0.380701	−	1.03114i
$283$	18.8785	+	10.8995i	1.12221	+	0.647908i	0.941964	−	0.335714i	$-0.108978\pi$
$283$	18.8785	+	10.8995i	1.12221	+	0.647908i	0.180245	+	0.983622i	$0.442311\pi$
$284$	−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	−0.126304	+	0.991992i	$0.540311\pi$
$293$	−19.1421	+	19.1421i	−1.11830	+	1.11830i	−0.991992	+	0.126304i	$0.959689\pi$
$294$	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	0.598980	−	0.800764i	$-0.295573\pi$
$307$	−3.53553	−	3.53553i	−0.201784	−	0.201784i	−0.800764	+	0.598980i	$0.795573\pi$
$308$	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	−0.0224120	−	0.999749i	$-0.507135\pi$
$311$	15.0711	−	26.1039i	0.854602	−	1.48021i	0.877014	−	0.480465i	$-0.159532\pi$
$312$	−16.4762	−	8.91820i	−0.932782	−	0.504894i
$313$	−6.17157	−	10.6895i	−0.348838	−	0.604205i	0.637205	−	0.770694i	$-0.280090\pi$
$313$	−6.17157	−	10.6895i	−0.348838	−	0.604205i	−0.986043	+	0.166489i	$0.946757\pi$
$314$	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	0.246021	+	0.969264i	$0.420877\pi$
$317$	−8.04178	+	30.0123i	−0.451672	+	1.68566i	−0.697693	+	0.716397i	$0.745790\pi$
$318$	−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	0.898691	−	0.438583i	$-0.144520\pi$
$331$	26.5203	+	7.10610i	1.45769	+	0.390586i	0.558997	+	0.829169i	$0.311186\pi$
$332$	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	$0.0981470\pi$
$337$			11.1421i			0.606951i	−0.952839	+	0.303475i	$0.901853\pi$
$338$	−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	0.974956	−	0.222397i	$-0.0713881\pi$
$347$	23.6544	+	13.6569i	1.26983	+	0.733138i	0.294877	+	0.955535i	$0.404721\pi$
$348$	0.599900	+	1.62484i	0.0321580	+	0.0871008i
$349$	3.00000	+	3.00000i	0.160586	+	0.160586i	0.782826	−	0.622240i	$-0.213777\pi$
$349$	3.00000	+	3.00000i	0.160586	+	0.160586i	−0.622240	+	0.782826i	$0.713777\pi$
$350$	−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	0.0864922	−	0.996253i	$-0.472434\pi$
$353$	12.3913	−	3.32024i	0.659523	−	0.176719i	0.573031	+	0.819534i	$0.305768\pi$
$354$	−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	0.115495	−	0.993308i	$-0.463155\pi$
$359$	−5.32681	−	1.42731i	−0.281138	−	0.0753308i	−0.396633	+	0.917977i	$0.629821\pi$
$360$	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	−0.410732	−	0.911756i	$-0.634727\pi$
$367$	11.1924	−	19.3858i	0.584238	−	1.01193i	0.994970	−	0.100174i	$-0.0319398\pi$
$368$	−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	0.997288	−	0.0735946i	$-0.0234471\pi$
$373$	8.39949	+	14.5484i	0.434909	+	0.753285i	−0.562379	+	0.826880i	$0.690114\pi$
$374$	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	−0.978829	−	0.204680i	$-0.934385\pi$
$379$	−15.0711	+	15.0711i	−0.774149	+	0.774149i	0.204680	+	0.978829i	$0.434385\pi$
$380$	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	0.827744	+	0.561106i	$0.189624\pi$
$383$	−3.32024	+	12.3913i	−0.169656	+	0.633166i	−0.997400	+	0.0720602i	$0.977043\pi$
$384$	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	−0.475948	−	0.879473i	$-0.657895\pi$
$389$	10.3284	−	17.8894i	0.523672	−	0.907027i	0.999620	−	0.0275533i	$-0.00877160\pi$
$390$	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	−0.964997	−	0.262263i	$-0.915531\pi$
$397$	0.0367874	−	0.137292i	0.00184631	−	0.00689051i	0.966843	+	0.255372i	$0.0821980\pi$
$398$	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	0.167057	−	0.985947i	$-0.446573\pi$
$401$	−3.62933	−	0.972476i	−0.181240	−	0.0485631i	−0.348298	+	0.937384i	$0.613240\pi$
$402$	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	0.957308	−	0.289069i	$-0.0933459\pi$
$409$	−0.329238	−	1.22873i	−0.0162798	−	0.0607569i	−0.973588	+	0.228313i	$0.926679\pi$
$410$	−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	$-0.725708\pi$
$419$		−	31.0711i		−	1.51792i	0.651137	−	0.758960i	$-0.274292\pi$
$420$	−13.3889	+	8.09513i	−0.653312	+	0.395002i
$421$	3.07107	−	3.07107i	0.149675	−	0.149675i	−0.628298	−	0.777973i	$-0.716248\pi$
$421$	3.07107	−	3.07107i	0.149675	−	0.149675i	0.777973	+	0.628298i	$0.216248\pi$
$422$	−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	−0.708441	−	0.705770i	$-0.750601\pi$
$431$	−20.1187	+	5.39079i	−0.969084	+	0.259665i	−0.260643	+	0.965435i	$0.583935\pi$
$432$	0.0719302	+	5.19565i	0.00346074	+	0.249976i
$433$			23.1421i			1.11214i	0.831135	+	0.556070i	$0.187691\pi$
$433$			23.1421i			1.11214i	−0.831135	+	0.556070i	$0.812309\pi$
$434$	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	−0.577605	−	0.816316i	$-0.696013\pi$
$439$	−3.34101	+	1.92893i	−0.159458	+	0.0920629i	0.418148	+	0.908379i	$0.362679\pi$
$440$	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	0.290424	−	0.956898i	$-0.406204\pi$
$443$	26.6112	−	15.3640i	1.26433	−	0.729964i	0.973910	+	0.226934i	$0.0728702\pi$
$444$	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	−0.658337	−	0.752723i	$-0.728740\pi$
$449$	2.00000	−	2.00000i	0.0943858	−	0.0943858i	0.752723	+	0.658337i	$0.228740\pi$
$450$	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	−0.659560	−	0.751652i	$-0.729257\pi$
$457$	−34.3448	−	9.20266i	−1.60658	−	0.430482i	−0.947022	+	0.321170i	$0.895924\pi$
$458$	−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	0.952687	−	0.303952i	$-0.0983063\pi$
$461$	13.9289	+	13.9289i	0.648735	+	0.648735i	−0.303952	+	0.952687i	$0.598306\pi$
$462$	−0.763412	−	0.188108i	−0.0355171	−	0.00875160i
$463$	4.00000	+	4.00000i	0.185896	+	0.185896i	0.793919	−	0.608023i	$-0.208037\pi$
$463$	4.00000	+	4.00000i	0.185896	+	0.185896i	−0.608023	+	0.793919i	$0.708037\pi$
$464$	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	0.964577	−	0.263803i	$-0.0849768\pi$
$467$	5.48528	+	9.50079i	0.253829	+	0.439644i	−0.710748	+	0.703447i	$0.751643\pi$
$468$	−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	0.999604	+	0.0281487i	$0.00896119\pi$
$479$	3.23905	+	12.0883i	0.147996	+	0.552328i	−0.851608	+	0.524179i	$0.824372\pi$
$480$	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	−0.974737	−	0.223356i	$-0.928299\pi$
$487$	−5.34639	−	19.9530i	−0.242268	−	0.904156i	0.732469	−	0.680800i	$-0.238368\pi$
$488$	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	−0.447622	−	0.894223i	$-0.647729\pi$
$499$	−28.6463	−	7.67576i	−1.28239	−	0.343614i	−0.834763	+	0.550609i	$0.814396\pi$
$500$	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	$0.00760141\pi$
$503$			1.07107i			0.0477566i	−0.999715	+	0.0238783i	$0.992399\pi$
$504$	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	−0.958245	−	0.285947i	$-0.907692\pi$
$509$	0.329238	−	1.22873i	0.0145932	−	0.0544626i	0.972839	+	0.231485i	$0.0743584\pi$
$510$	−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	−0.908492	−	0.417903i	$-0.862765\pi$
$521$	−39.3659	−	22.7279i	−1.72465	−	0.995728i	−0.816160	−	0.577825i	$-0.803901\pi$
$522$	0.233875	−	2.99087i	0.0102364	−	0.130907i
$523$	−13.2426	−	22.9369i	−0.579060	−	1.00296i	−0.995587	−	0.0938385i	$-0.970086\pi$
$523$	−13.2426	−	22.9369i	−0.579060	−	1.00296i	0.416527	−	0.909123i	$-0.363247\pi$
$524$	−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	0.559008	+	0.829162i	$0.311182\pi$
$541$	−7.90095	+	29.4867i	−0.339688	+	1.26773i	−0.898696	+	0.438571i	$0.855485\pi$
$542$	−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	0.994268	−	0.106915i	$-0.0340972\pi$
$557$	1.88215	+	7.02429i	0.0797494	+	0.297629i	−0.914519	+	0.404543i	$0.867430\pi$
$558$	−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	−0.565342	−	0.824857i	$-0.691256\pi$
$563$	10.2426	−	17.7408i	0.431676	−	0.747684i	0.997018	+	0.0771722i	$0.0245891\pi$
$564$	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	−0.997843	−	0.0656518i	$-0.979087\pi$
$569$	−13.2574	−	22.9624i	−0.555777	−	0.962635i	0.442065	−	0.896983i	$-0.354246\pi$
$570$	−27.4226	+	2.52673i	−1.14861	+	0.105833i
$571$	29.4809	+	17.0208i	1.23374	+	0.712299i	0.967807	−	0.251693i	$-0.0809874\pi$
$571$	29.4809	+	17.0208i	1.23374	+	0.712299i	0.265931	+	0.963992i	$0.414321\pi$
$572$	−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	−0.918197	−	0.396125i	$-0.870355\pi$
$577$	−7.71255	−	28.7836i	−0.321077	−	1.19828i	0.597119	−	0.802153i	$-0.296312\pi$
$578$	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	0.280340	−	0.959901i	$-0.409553\pi$
$587$	−16.4645	−	16.4645i	−0.679561	−	0.679561i	−0.959901	+	0.280340i	$0.909553\pi$
$588$	−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	−0.574795	−	0.818298i	$-0.694918\pi$
$593$	−36.0825	−	9.66827i	−1.48173	−	0.397028i	−0.906936	+	0.421269i	$0.861585\pi$
$594$	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	0.680737	−	0.732528i	$-0.261660\pi$
$599$	9.46473	+	5.46447i	0.386719	+	0.223272i	−0.294019	+	0.955800i	$0.594993\pi$
$600$	−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	0.955609	−	0.294638i	$-0.0951990\pi$
$607$	5.48528	+	9.50079i	0.222641	+	0.385625i	−0.732968	+	0.680263i	$0.761866\pi$
$608$	−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	0.979711	+	0.200418i	$0.0642299\pi$
$613$	5.73081	+	21.3877i	0.231465	+	0.863839i	−0.748245	+	0.663422i	$0.769103\pi$
$614$	−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	0.550298	−	0.834968i	$-0.314514\pi$
$617$	−7.07107	−	7.07107i	−0.284670	−	0.284670i	−0.834968	+	0.550298i	$0.814514\pi$
$618$	16.4947	+	7.59915i	0.663515	+	0.305683i
$619$	5.32681	−	1.42731i	0.214103	−	0.0573686i	−0.150173	−	0.988660i	$-0.547983\pi$
$619$	5.32681	−	1.42731i	0.214103	−	0.0573686i	0.364276	+	0.931291i	$0.381317\pi$
$620$	−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	0.685466	−	0.728105i	$-0.259598\pi$
$631$	−1.07107	−	1.07107i	−0.0426385	−	0.0426385i	−0.728105	+	0.685466i	$0.759598\pi$
$632$	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	0.348387	+	0.937351i	$0.386729\pi$
$641$	−16.1421	+	27.9590i	−0.637576	+	1.10431i	−0.985963	+	0.166963i	$0.946604\pi$
$642$	−1.84304	−	0.849091i	−0.0727389	−	0.0335110i
$643$	−27.6777	+	27.6777i	−1.09150	+	1.09150i	−0.0961322	+	0.995369i	$0.530647\pi$
$643$	−27.6777	+	27.6777i	−1.09150	+	1.09150i	−0.995369	+	0.0961322i	$0.969353\pi$
$644$	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	0.305399	+	0.952225i	$0.401210\pi$
$647$	−17.0919	+	29.6040i	−0.671951	+	1.16385i	−0.977350	+	0.211629i	$0.932123\pi$
$648$	−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	−0.361989	−	0.932182i	$-0.617902\pi$
$653$	6.75412	−	3.89949i	0.264309	−	0.152599i	0.626299	+	0.779583i	$0.284569\pi$
$654$	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	$-0.956911\pi$
$659$		−	6.92893i		−	0.269913i	0.990852	−	0.134956i	$-0.0430894\pi$
$660$	0.951812	−	0.351414i	0.0370492	−	0.0136788i
$661$	−37.7800	+	10.1231i	−1.46947	+	0.393743i	−0.902750	−	0.430167i	$-0.858455\pi$
$661$	−37.7800	+	10.1231i	−1.46947	+	0.393743i	−0.566721	+	0.823910i	$0.691788\pi$
$662$	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	$0.262882\pi$
$673$			38.1421i			1.47027i	−0.677920	+	0.735136i	$0.737118\pi$
$674$	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	−0.626747	−	0.779223i	$-0.715614\pi$
$677$	−6.90271	+	3.98528i	−0.265293	+	0.153167i	0.361454	+	0.932390i	$0.382281\pi$
$678$	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	0.990037	−	0.140808i	$-0.0449700\pi$
$683$	1.62649	+	6.07014i	0.0622359	+	0.232267i	−0.927801	+	0.373075i	$0.878303\pi$
$684$	−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	−0.0440018	−	0.999031i	$-0.514011\pi$
$691$	−15.2891	−	4.09670i	−0.581624	−	0.155846i	−0.537622	+	0.843186i	$0.680677\pi$
$692$		−	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	−0.0448517	−	0.998994i	$-0.514282\pi$
$709$	13.1401	−	49.0396i	0.493488	−	1.84172i	0.538340	−	0.842728i	$-0.319052\pi$
$710$	−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	−0.906152	−	0.422953i	$-0.860994\pi$
$719$	−21.9706	−	38.0541i	−0.819364	−	1.41918i	0.0867880	−	0.996227i	$-0.472340\pi$
$720$	−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	$-0.970023\pi$
$727$		−	5.07107i		−	0.188075i	0.995569	−	0.0940377i	$-0.0299774\pi$
$728$	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	−0.388066	−	0.921632i	$-0.626857\pi$
$733$	−32.0815	−	8.59621i	−1.18496	−	0.317508i	−0.796891	+	0.604123i	$0.793523\pi$
$734$	−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	−0.506811	−	0.862057i	$-0.669176\pi$
$739$	−13.9917	+	3.74907i	−0.514693	+	0.137912i	−0.00788243	+	0.999969i	$0.502509\pi$
$740$	−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	0.333510	−	0.942747i	$-0.391767\pi$
$743$	−16.6066	−	16.6066i	−0.609237	−	0.609237i	−0.942747	+	0.333510i	$0.891767\pi$
$744$	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	0.146021	−	0.989282i	$-0.453353\pi$
$751$	29.4809	−	17.0208i	1.07577	−	0.621098i	0.929753	+	0.368183i	$0.120020\pi$
$752$	−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	−0.325080	−	0.945687i	$-0.605391\pi$
$761$	−29.7780	−	7.97898i	−1.07945	−	0.289238i	−0.754371	+	0.656449i	$0.772058\pi$
$762$	−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	0.222845	−	0.974854i	$-0.428466\pi$
$769$	33.2132	−	33.2132i	1.19770	−	1.19770i	0.974854	−	0.222845i	$-0.0715343\pi$
$770$	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	0.127310	−	0.991863i	$-0.459366\pi$
$773$	20.3933	−	5.46437i	0.733496	−	0.196540i	0.606186	+	0.795323i	$0.292699\pi$
$774$	−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	0.901521	−	0.432736i	$-0.142452\pi$
$787$	53.2632	−	14.2718i	1.89863	−	0.508736i	0.997108	−	0.0759999i	$-0.0242149\pi$
$788$	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	−0.239794	−	0.970824i	$-0.577080\pi$
$809$	−34.1443	−	19.7132i	−1.20045	−	0.693079i	−0.960655	+	0.277745i	$0.910413\pi$
$810$	−30.3544	−	4.77641i	−1.06655	−	0.167826i
$811$	−21.0711	+	21.0711i	−0.739905	+	0.739905i	−0.972560	−	0.232654i	$-0.925259\pi$
$811$	−21.0711	+	21.0711i	−0.739905	+	0.739905i	0.232654	+	0.972560i	$0.425259\pi$
$812$	−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	−0.992812	−	0.119682i	$-0.961812\pi$
$821$	−2.09656	+	7.82449i	−0.0731706	+	0.273076i	0.919642	+	0.392758i	$0.128479\pi$
$822$	−9.50624	+	11.4358i	−0.331568	+	0.398871i
$823$	−14.2767	−	8.24264i	−0.497654	−	0.287320i	0.230091	−	0.973169i	$-0.426098\pi$
$823$	−14.2767	−	8.24264i	−0.497654	−	0.287320i	−0.727744	+	0.685849i	$0.759431\pi$
$824$	−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	−0.960957	−	0.276697i	$-0.910760\pi$
$827$	−19.6777	+	19.6777i	−0.684260	+	0.684260i	0.276697	+	0.960957i	$0.410760\pi$
$828$	−27.7671	+	5.16076i	−0.964974	+	0.179349i
$829$	−11.1352	−	6.42893i	−0.386743	−	0.223286i	0.294005	−	0.955804i	$-0.405012\pi$
$829$	−11.1352	−	6.42893i	−0.386743	−	0.223286i	−0.680748	+	0.732518i	$0.738345\pi$
$830$	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	0.134837	−	0.990868i	$-0.456949\pi$
$839$	32.6066	−	32.6066i	1.12570	−	1.12570i	0.990868	−	0.134837i	$-0.0430511\pi$
$840$	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	0.870765	−	0.491699i	$-0.163624\pi$
$853$	11.0711	+	11.0711i	0.379066	+	0.379066i	−0.491699	+	0.870765i	$0.663624\pi$
$854$	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	−0.511467	−	0.859303i	$-0.670898\pi$
$857$	14.2990	−	24.7666i	0.488444	−	0.846010i	0.999912	+	0.0132925i	$0.00423126\pi$
$858$	0.305647	+	1.02695i	0.0104346	+	0.0350596i
$859$	−9.89949	−	17.1464i	−0.337766	−	0.585029i	0.646246	−	0.763129i	$-0.276338\pi$
$859$	−9.89949	−	17.1464i	−0.337766	−	0.585029i	−0.984012	+	0.178101i	$0.943005\pi$
$860$	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	−0.704023	−	0.710177i	$-0.748615\pi$
$863$	7.66052	−	28.5895i	0.260767	−	0.973196i	0.964791	−	0.263019i	$-0.0847184\pi$
$864$	−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	0.909463	−	0.415784i	$-0.136493\pi$
$877$	44.1011	+	11.8169i	1.48919	+	0.399027i	0.579726	+	0.814811i	$0.303160\pi$
$878$	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	$0.0987453\pi$
$883$			18.1421i			0.610531i	−0.952267	+	0.305266i	$0.901255\pi$
$884$	−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	−0.930673	−	0.365851i	$-0.880778\pi$
$887$	−32.1405	+	18.5563i	−1.07917	+	0.623061i	−0.148500	+	0.988912i	$0.547445\pi$
$888$	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	−0.133870	−	0.990999i	$-0.542740\pi$
$907$	−31.8944	−	18.4142i	−1.05903	−	0.611434i	−0.925165	+	0.379565i	$0.876074\pi$
$908$	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	$-0.819494\pi$
$911$		−	32.4264i		−	1.07433i	0.843476	−	0.537167i	$-0.180506\pi$
$912$	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	0.707533	−	0.706680i	$-0.249808\pi$
$919$	−7.82843	−	13.5592i	−0.258236	−	0.447278i	−0.965769	+	0.259402i	$0.916475\pi$
$920$	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	−0.512302	−	0.858805i	$-0.671207\pi$
$929$	10.9960	−	41.0376i	0.360767	−	1.34640i	0.873069	−	0.487596i	$-0.162126\pi$
$930$	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	−0.159191	−	0.987248i	$-0.550888\pi$
$941$	6.02993	−	1.61571i	0.196570	−	0.0526708i	0.355761	+	0.934577i	$0.384222\pi$
$942$	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	−0.499307	−	0.866425i	$-0.666412\pi$
$947$	−42.0036	−	11.2548i	−1.36493	−	0.365732i	−0.865625	+	0.500693i	$0.833079\pi$
$948$	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	0.282128	−	0.959377i	$-0.408960\pi$
$967$	38.6066	−	38.6066i	1.24150	−	1.24150i	0.959377	−	0.282128i	$-0.0910402\pi$
$968$	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	−0.501396	−	0.865218i	$-0.667180\pi$
$971$	−0.0870399	+	0.0502525i	−0.00279324	+	0.00161268i	0.498603	+	0.866831i	$0.333847\pi$
$972$	−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	−0.960511	−	0.278242i	$-0.910248\pi$
$977$	−51.6746	+	13.8462i	−1.65322	+	0.442978i	−0.692706	+	0.721220i	$0.743582\pi$
$978$	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	0.734969	+	0.678100i	$0.237197\pi$
$983$	13.7174	+	51.1941i	0.437517	+	1.63284i	−0.297452	+	0.954737i	$0.596137\pi$
$984$	−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	−0.996669	−	0.0815471i	$-0.974014\pi$
$991$	−13.4645	+	23.3211i	−0.427713	+	0.740820i	0.568957	+	0.822368i	$0.307347\pi$
$992$	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	0.463452	+	0.886122i	$0.346611\pi$
$997$	−16.9142	+	29.2963i	−0.535679	+	0.927822i	−0.999130	+	0.0417002i	$0.986723\pi$
$998$	−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.200.2	yes	8
3.2	odd	2		273.2.cd.c.200.1	yes	8
7.2	even	3	inner	273.2.cd.d.44.1	yes	8
13.8	odd	4		273.2.cd.c.242.2	yes	8
21.2	odd	6		273.2.cd.c.44.2	✓	8
39.8	even	4	inner	273.2.cd.d.242.1	yes	8
91.86	odd	12		273.2.cd.c.86.1	yes	8
273.86	even	12	inner	273.2.cd.d.86.2	yes	8

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
273.2.cd.c.44.2	✓	8	21.2	odd	6
273.2.cd.c.86.1	yes	8	91.86	odd	12
273.2.cd.c.200.1	yes	8	3.2	odd	2
273.2.cd.c.242.2	yes	8	13.8	odd	4
273.2.cd.d.44.1	yes	8	7.2	even	3	inner
273.2.cd.d.86.2	yes	8	273.86	even	12	inner
273.2.cd.d.200.2	yes	8	1.1	even	1	trivial
273.2.cd.d.242.1	yes	8	39.8	even	4	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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