LMFDB - Embedded newform 273.2.cd.c.44.2

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			44.2
Root			$-0.258819 - 0.965926i$ of defining polynomial
Character	$\chi$	$=$	273.44
Dual form			273.2.cd.c.242.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.965926 - 0.258819i) q^{2} +(1.10721 + 1.33195i) q^{3} +(-0.866025 + 0.500000i) q^{4} +(-3.29788 + 0.883663i) q^{5} +(1.41421 + 1.00000i) q^{6} +(2.38014 + 1.15539i) q^{7} +(-2.12132 + 2.12132i) q^{8} +(-0.548188 + 2.94949i) q^{9} +O(q^{10})$	\(q+(0.965926 - 0.258819i) q^{2} +(1.10721 + 1.33195i) q^{3} +(-0.866025 + 0.500000i) q^{4} +(-3.29788 + 0.883663i) q^{5} +(1.41421 + 1.00000i) q^{6} +(2.38014 + 1.15539i) q^{7} +(-2.12132 + 2.12132i) q^{8} +(-0.548188 + 2.94949i) q^{9} +(-2.95680 + 1.70711i) q^{10} +(-0.165727 - 0.0444063i) q^{11} +(-1.62484 - 0.599900i) q^{12} +(2.00000 - 3.00000i) q^{13} +(2.59808 + 0.500000i) q^{14} +(-4.82843 - 3.41421i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(1.91421 + 3.31552i) q^{17} +(0.233875 + 2.99087i) q^{18} +(1.20528 + 4.49818i) q^{19} +(2.41421 - 2.41421i) q^{20} +(1.09638 + 4.44949i) q^{21} -0.171573 q^{22} +(4.70711 - 8.15295i) q^{23} +(-5.17423 - 0.476756i) q^{24} +(5.76500 - 3.32843i) q^{25} +(1.15539 - 3.41542i) q^{26} +(-4.53553 + 2.53553i) q^{27} +(-2.63896 + 0.189469i) q^{28} -1.00000i q^{29} +(-5.54757 - 2.04819i) q^{30} +(-4.66390 - 1.24969i) q^{31} +(1.29410 - 4.82963i) q^{32} +(-0.124347 - 0.269907i) q^{33} +(2.70711 + 2.70711i) q^{34} +(-8.87039 - 1.70711i) q^{35} +(-1.00000 - 2.82843i) q^{36} +(3.86370 - 1.03528i) q^{37} +(2.32843 + 4.03295i) q^{38} +(6.21027 - 0.657717i) q^{39} +(5.12132 - 8.87039i) q^{40} +(4.00000 + 4.00000i) q^{41} +(2.21063 + 4.01411i) q^{42} -6.00000i q^{43} +(0.165727 - 0.0444063i) q^{44} +(-0.798499 - 10.2115i) q^{45} +(2.43658 - 9.09343i) q^{46} +(2.75820 + 10.2937i) 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} +(-0.232051 + 3.59808i) q^{52} +(2.30090 - 1.32843i) q^{53} +(-3.72474 + 3.62302i) q^{54} +0.585786 q^{55} +(-7.50000 + 2.59808i) q^{56} +(-4.65685 + 6.58579i) q^{57} +(-0.258819 - 0.965926i) q^{58} +(-7.23023 - 1.93733i) q^{59} +(5.88865 + 0.542582i) q^{60} +(0.500000 - 0.866025i) q^{61} -4.82843 q^{62} +(-4.71259 + 6.38682i) q^{63} -7.00000i q^{64} +(-3.94476 + 11.6610i) q^{65} +(-0.189967 - 0.228527i) q^{66} +(-3.36652 - 0.902057i) q^{67} +(-3.31552 - 1.91421i) q^{68} +(16.0711 - 2.75736i) q^{69} +(-9.00997 + 0.646887i) q^{70} +(7.53553 + 7.53553i) q^{71} +(-5.09393 - 7.41970i) q^{72} +(1.85614 - 6.92721i) 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} +(5.82843 - 2.24264i) q^{78} +(0.707107 - 1.22474i) q^{79} +(0.883663 - 3.29788i) q^{80} +(-8.39898 - 3.23375i) q^{81} +(4.89898 + 2.82843i) q^{82} +(-11.0711 - 11.0711i) q^{83} +(-3.17423 - 3.30518i) q^{84} +(-9.24264 - 9.24264i) q^{85} +(-1.55291 - 5.79555i) q^{86} +(1.33195 - 1.10721i) q^{87} +(0.445759 - 0.257359i) q^{88} +(1.16088 + 4.33245i) q^{89} +(-3.41421 - 9.65685i) q^{90} +(8.22646 - 4.82963i) q^{91} +9.41421i q^{92} +(-3.49938 - 7.59575i) q^{93} +(5.32843 + 9.22911i) q^{94} +(-7.94975 - 13.7694i) q^{95} +(7.86566 - 3.62372i) q^{96} +(-7.00000 + 7.00000i) q^{97} +(5.60609 + 4.19187i) q^{98} +(0.221825 - 0.464466i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 8 q + 4 q^{3} - 4 q^{5}+O(q^{10}) $ 8 * q + 4 * q^3 - 4 * q^5	$ 8 q + 4 q^{3} - 4 q^{5} + 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} - 24 q^{22} + 32 q^{23} - 12 q^{24} - 8 q^{27} - 4 q^{30} - 8 q^{31} + 12 q^{33} + 16 q^{34} - 8 q^{36} - 4 q^{38} - 4 q^{39} + 24 q^{40} + 32 q^{41} + 20 q^{42} - 8 q^{44} - 20 q^{45} - 4 q^{46} - 16 q^{47} - 8 q^{48} + 32 q^{50} - 12 q^{51} + 12 q^{52} - 20 q^{54} + 16 q^{55} - 60 q^{56} + 8 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} + 24 q^{78} - 4 q^{80} - 28 q^{81} - 32 q^{83} + 4 q^{84} - 40 q^{85} - 4 q^{87} - 24 q^{89} - 16 q^{90} + 8 q^{93} + 20 q^{94} - 24 q^{95} - 56 q^{97} + 64 q^{99}+O(q^{100}) $ 8 * q + 4 * q^3 - 4 * q^5 + 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 - 24 * q^22 + 32 * q^23 - 12 * q^24 - 8 * q^27 - 4 * q^30 - 8 * q^31 + 12 * q^33 + 16 * q^34 - 8 * q^36 - 4 * q^38 - 4 * q^39 + 24 * q^40 + 32 * q^41 + 20 * q^42 - 8 * q^44 - 20 * q^45 - 4 * q^46 - 16 * q^47 - 8 * q^48 + 32 * q^50 - 12 * q^51 + 12 * q^52 - 20 * q^54 + 16 * q^55 - 60 * q^56 + 8 * 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 + 24 * q^78 - 4 * q^80 - 28 * q^81 - 32 * q^83 + 4 * q^84 - 40 * q^85 - 4 * q^87 - 24 * q^89 - 16 * q^90 + 8 * q^93 + 20 * q^94 - 24 * q^95 - 56 * q^97 + 64 * q^99

Display 100 coefficients 10 coefficients

Character values

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

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

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 $

$2$	0.965926	−	0.258819i	0.683013	−	0.183013i	0.0994033	−	0.995047i	$-0.468307\pi$
$2$	0.965926	−	0.258819i	0.683013	−	0.183013i	0.583609	+	0.812035i	$0.301640\pi$
$3$	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
$5$	−3.29788	+	0.883663i	−1.47486	+	0.395186i	−0.904593	−	0.426276i	$-0.859825\pi$
$5$	−3.29788	+	0.883663i	−1.47486	+	0.395186i	−0.570262	+	0.821463i	$0.693158\pi$
$6$	1.41421	+	1.00000i	0.577350	+	0.408248i
$7$	2.38014	+	1.15539i	0.899608	+	0.436698i
$7$	2.38014	+	1.15539i	0.899608	+	0.436698i
$8$	−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
$11$	−0.165727	−	0.0444063i	−0.0499685	−	0.0133890i	0.233748	−	0.972297i	$-0.424901\pi$
$11$	−0.165727	−	0.0444063i	−0.0499685	−	0.0133890i	−0.283717	+	0.958908i	$0.591568\pi$
$12$	−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
$15$	−4.82843	−	3.41421i	−1.24669	−	0.881546i
$16$	−0.500000	+	0.866025i	−0.125000	+	0.216506i
$17$	1.91421	+	3.31552i	0.464265	+	0.804131i	0.999168	−	0.0407829i	$-0.0129852\pi$
$17$	1.91421	+	3.31552i	0.464265	+	0.804131i	−0.534903	+	0.844913i	$0.679652\pi$
$18$	0.233875	+	2.99087i	0.0551249	+	0.704955i
$19$	1.20528	+	4.49818i	0.276511	+	1.03195i	0.954822	+	0.297178i	$0.0960454\pi$
$19$	1.20528	+	4.49818i	0.276511	+	1.03195i	−0.678311	+	0.734775i	$0.737288\pi$
$20$	2.41421	−	2.41421i	0.539835	−	0.539835i
$21$	1.09638	+	4.44949i	0.239249	+	0.970958i
$22$	−0.171573			−0.0365795
$23$	4.70711	−	8.15295i	0.981500	−	1.70001i	0.324937	−	0.945736i	$-0.394657\pi$
$23$	4.70711	−	8.15295i	0.981500	−	1.70001i	0.656563	−	0.754272i	$-0.272010\pi$
$24$	−5.17423	−	0.476756i	−1.05619	−	0.0973174i
$25$	5.76500	−	3.32843i	1.15300	−	0.665685i
$26$	1.15539	−	3.41542i	0.226592	−	0.669818i
$27$	−4.53553	+	2.53553i	−0.872864	+	0.487964i
$28$	−2.63896	+	0.189469i	−0.498716	+	0.0358062i
$29$		−	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
$31$	−4.66390	−	1.24969i	−0.837662	−	0.224451i	−0.185608	−	0.982624i	$-0.559426\pi$
$31$	−4.66390	−	1.24969i	−0.837662	−	0.224451i	−0.652053	+	0.758173i	$0.726092\pi$
$32$	1.29410	−	4.82963i	0.228766	−	0.853766i
$33$	−0.124347	−	0.269907i	−0.0216460	−	0.0469847i
$34$	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
$37$	3.86370	−	1.03528i	0.635189	−	0.170198i	0.0731657	−	0.997320i	$-0.476690\pi$
$37$	3.86370	−	1.03528i	0.635189	−	0.170198i	0.562023	+	0.827121i	$0.310023\pi$
$38$	2.32843	+	4.03295i	0.377721	+	0.654232i
$39$	6.21027	−	0.657717i	0.994438	−	0.105319i
$40$	5.12132	−	8.87039i	0.809752	−	1.40253i
$41$	4.00000	+	4.00000i	0.624695	+	0.624695i	0.946728	−	0.322033i	$-0.104366\pi$
$41$	4.00000	+	4.00000i	0.624695	+	0.624695i	−0.322033	+	0.946728i	$0.604366\pi$
$42$	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	$-0.151253\pi$
$44$	0.165727	−	0.0444063i	0.0249842	−	0.00669451i
$45$	−0.798499	−	10.2115i	−0.119033	−	1.52224i
$46$	2.43658	−	9.09343i	0.359254	−	1.34075i
$47$	2.75820	+	10.2937i	0.402324	+	1.50149i	0.808938	+	0.587895i	$0.200043\pi$
$47$	2.75820	+	10.2937i	0.402324	+	1.50149i	−0.406613	+	0.913600i	$0.633290\pi$
$48$	−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
$52$	−0.232051	+	3.59808i	−0.0321797	+	0.498963i
$53$	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	$0.274923\pi$
$54$	−3.72474	+	3.62302i	−0.506874	+	0.493031i
$55$	0.585786			0.0789874
$56$	−7.50000	+	2.59808i	−1.00223	+	0.347183i
$57$	−4.65685	+	6.58579i	−0.616815	+	0.872309i
$58$	−0.258819	−	0.965926i	−0.0339846	−	0.126832i
$59$	−7.23023	−	1.93733i	−0.941295	−	0.252219i	−0.244631	−	0.969616i	$-0.578667\pi$
$59$	−7.23023	−	1.93733i	−0.941295	−	0.252219i	−0.696665	+	0.717397i	$0.745333\pi$
$60$	5.88865	+	0.542582i	0.760221	+	0.0700471i
$61$	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
$63$	−4.71259	+	6.38682i	−0.593730	+	0.804664i
$64$		−	7.00000i		−	0.875000i
$65$	−3.94476	+	11.6610i	−0.489288	+	1.44636i
$66$	−0.189967	−	0.228527i	−0.0233833	−	0.0281297i
$67$	−3.36652	−	0.902057i	−0.411286	−	0.110204i	0.0472424	−	0.998883i	$-0.484957\pi$
$67$	−3.36652	−	0.902057i	−0.411286	−	0.110204i	−0.458529	+	0.888680i	$0.651623\pi$
$68$	−3.31552	−	1.91421i	−0.402065	−	0.232132i
$69$	16.0711	−	2.75736i	1.93473	−	0.331947i
$70$	−9.00997	+	0.646887i	−1.07690	+	0.0773177i
$71$	7.53553	+	7.53553i	0.894303	+	0.894303i	0.994925	−	0.100621i	$-0.0320831\pi$
$71$	7.53553	+	7.53553i	0.894303	+	0.894303i	−0.100621	+	0.994925i	$0.532083\pi$
$72$	−5.09393	−	7.41970i	−0.600325	−	0.874419i
$73$	1.85614	−	6.92721i	0.217245	−	0.810768i	−0.768120	−	0.640306i	$-0.778807\pi$
$73$	1.85614	−	6.92721i	0.217245	−	0.810768i	0.985364	−	0.170462i	$-0.0545260\pi$
$74$	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
$78$	5.82843	−	2.24264i	0.659939	−	0.253929i
$79$	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	$0.141317\pi$
$80$	0.883663	−	3.29788i	0.0987966	−	0.368714i
$81$	−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	$-0.920911\pi$
$83$	−11.0711	−	11.0711i	−1.21521	−	1.21521i	−0.245917	−	0.969291i	$-0.579089\pi$
$84$	−3.17423	−	3.30518i	−0.346337	−	0.360625i
$85$	−9.24264	−	9.24264i	−1.00251	−	1.00251i
$86$	−1.55291	−	5.79555i	−0.167455	−	0.624951i
$87$	1.33195	−	1.10721i	0.142800	−	0.118705i
$88$	0.445759	−	0.257359i	0.0475181	−	0.0274346i
$89$	1.16088	+	4.33245i	0.123053	+	0.459239i	0.999763	−	0.0217804i	$-0.00693345\pi$
$89$	1.16088	+	4.33245i	0.123053	+	0.459239i	−0.876710	+	0.481019i	$0.840267\pi$
$90$	−3.41421	−	9.65685i	−0.359890	−	1.01792i
$91$	8.22646	−	4.82963i	0.862368	−	0.506283i
$92$			9.41421i			0.981500i
$93$	−3.49938	−	7.59575i	−0.362869	−	0.787643i
$94$	5.32843	+	9.22911i	0.549585	+	0.951910i
$95$	−7.94975	−	13.7694i	−0.815627	−	1.41271i
$96$	7.86566	−	3.62372i	0.802786	−	0.369845i
$97$	−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	$0.417612\pi$
$98$	5.60609	+	4.19187i	0.566300	+	0.423443i
$99$	0.221825	−	0.464466i	0.0222943	−	0.0466806i
$100$	−3.32843	+	5.76500i	−0.332843	+	0.576500i
$101$	2.00000	+	3.46410i	0.199007	+	0.344691i	0.948207	−	0.317653i	$-0.102895\pi$
$101$	2.00000	+	3.46410i	0.199007	+	0.344691i	−0.749199	+	0.662344i	$0.769562\pi$
$102$	−0.608408	+	6.60306i	−0.0602414	+	0.653800i
$103$	9.08052	+	5.24264i	0.894730	+	0.516573i	0.875487	−	0.483242i	$-0.160541\pi$
$103$	9.08052	+	5.24264i	0.894730	+	0.516573i	0.0192435	+	0.999815i	$0.493874\pi$
$104$	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
$109$	−4.42953	−	1.18689i	−0.424272	−	0.113683i	0.0403642	−	0.999185i	$-0.487148\pi$
$109$	−4.42953	−	1.18689i	−0.424272	−	0.113683i	−0.464636	+	0.885502i	$0.653815\pi$
$110$	0.565826	−	0.151613i	0.0539494	−	0.0144557i
$111$	5.65685	+	4.00000i	0.536925	+	0.379663i
$112$	−2.19067	+	1.48356i	−0.206999	+	0.140184i
$113$		−	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
$115$	−8.31900	+	31.0469i	−0.775750	+	2.89514i
$116$	0.500000	+	0.866025i	0.0464238	+	0.0804084i
$117$	7.75209	+	7.54354i	0.716681	+	0.697401i
$118$	−7.48528			−0.689076
$119$	0.725367	+	10.1031i	0.0664943	+	0.926146i
$120$	17.4853	−	3.00000i	1.59618	−	0.273861i
$121$	−9.50079	−	5.48528i	−0.863708	−	0.498662i
$122$	0.258819	−	0.965926i	0.0234324	−	0.0874508i
$123$	−0.898979	+	9.75663i	−0.0810583	+	0.879726i
$124$	4.66390	−	1.24969i	0.418831	−	0.112225i
$125$	−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	$-0.181092\pi$
$128$	0.776457	+	2.89778i	0.0686298	+	0.256130i
$129$	7.99171	−	6.64324i	0.703631	−	0.584905i
$130$	−0.792271	+	12.2846i	−0.0694868	+	1.07743i
$131$	−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	$0.768098\pi$
$132$	0.242641	+	0.171573i	0.0211192	+	0.0149335i
$133$	−2.32843	+	12.0989i	−0.201900	+	1.04910i
$134$	−3.48528			−0.301082
$135$	12.7171	−	12.3698i	1.09451	−	1.06462i
$136$	−11.0939	−	2.97261i	−0.951297	−	0.254899i
$137$	−8.29323	−	2.22217i	−0.708539	−	0.189852i	−0.113487	−	0.993540i	$-0.536202\pi$
$137$	−8.29323	−	2.22217i	−0.708539	−	0.189852i	−0.595052	+	0.803687i	$0.702869\pi$
$138$	14.8098	−	6.82290i	1.26069	−	0.580804i
$139$	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
$141$	−10.6569	+	15.0711i	−0.897469	+	1.26921i
$142$	9.22911	+	5.32843i	0.774489	+	0.447152i
$143$	−0.464672	+	0.408367i	−0.0388579	+	0.0341494i
$144$	−2.28024	−	1.94949i	−0.190020	−	0.162457i
$145$	0.883663	+	3.29788i	0.0733843	+	0.273874i
$146$		−	7.17157i		−	0.593524i
$147$	−2.53139	+	11.8572i	−0.208785	+	0.977961i
$148$	−2.82843	+	2.82843i	−0.232495	+	0.232495i
$149$	2.40060	−	0.643238i	0.196665	−	0.0526961i	−0.159142	−	0.987256i	$-0.550873\pi$
$149$	2.40060	−	0.643238i	0.196665	−	0.0526961i	0.355807	+	0.934560i	$0.384206\pi$
$150$	11.4814	+	1.05790i	0.937450	+	0.0863770i
$151$	−3.66787	+	13.6887i	−0.298487	+	1.11397i	0.639921	+	0.768441i	$0.278967\pi$
$151$	−3.66787	+	13.6887i	−0.298487	+	1.11397i	−0.938408	+	0.345529i	$0.887700\pi$
$152$	−12.0989	−	6.98528i	−0.981347	−	0.566581i
$153$	−10.8284	+	3.82843i	−0.875426	+	0.309510i
$154$	−0.408367	−	0.198234i	−0.0329072	−	0.0159742i
$155$	16.4853			1.32413
$156$	−5.04939	+	3.67473i	−0.404275	+	0.294214i
$157$	−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	$0.882153\pi$
$158$	0.366025	−	1.36603i	0.0291194	−	0.108675i
$159$	4.31697	+	1.59385i	0.342358	+	0.126400i
$160$			17.0711i			1.34959i
$161$	20.6234	−	13.9666i	1.62535	−	1.10072i
$162$	−8.94975	−	0.949747i	−0.703159	−	0.0746192i
$163$	7.56168	−	2.02615i	0.592276	−	0.158700i	0.0497831	−	0.998760i	$-0.484147\pi$
$163$	7.56168	−	2.02615i	0.592276	−	0.158700i	0.542493	+	0.840060i	$0.317480\pi$
$164$	−5.46410	−	1.46410i	−0.426675	−	0.114327i
$165$	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	$-0.596717\pi$
$167$	8.46447	−	8.46447i	0.655000	−	0.655000i	0.954193	+	0.299193i	$0.0967173\pi$
$168$	−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
$171$	−13.9280	+	1.08912i	−1.06510	+	0.0832872i
$172$	3.00000	+	5.19615i	0.228748	+	0.396203i
$173$	0.742641	−	1.28629i	0.0564619	−	0.0977949i	−0.836413	−	0.548100i	$-0.815351\pi$
$173$	0.742641	−	1.28629i	0.0564619	−	0.0977949i	0.892875	+	0.450305i	$0.148685\pi$
$174$	1.00000	−	1.41421i	0.0758098	−	0.107211i
$175$	17.5672	−	1.26127i	1.32795	−	0.0953427i
$176$	0.121320	−	0.121320i	0.00914486	−	0.00914486i
$177$	−5.42492	−	11.7753i	−0.407762	−	0.885089i
$178$	2.24264	+	3.88437i	0.168093	+	0.291146i
$179$	9.24264	+	16.0087i	0.690827	+	1.19655i	0.971567	+	0.236764i	$0.0760869\pi$
$179$	9.24264	+	16.0087i	0.690827	+	1.19655i	−0.280740	+	0.959784i	$0.590580\pi$
$180$	5.79725	+	8.44414i	0.432102	+	0.629389i
$181$		−	19.1421i		−	1.42282i	−0.702775	−	0.711412i	$-0.748056\pi$
$181$		−	19.1421i		−	1.42282i	0.702775	−	0.711412i	$-0.251944\pi$
$182$	6.69615	−	6.79423i	0.496352	−	0.503622i
$183$	1.70711	−	0.292893i	0.126193	−	0.0216513i
$184$	7.30973	+	27.2803i	0.538881	+	2.01113i
$185$	−11.8272	+	6.82843i	−0.869552	+	0.502036i
$186$	−5.34607	−	6.43123i	−0.391993	−	0.471561i
$187$	−0.170006	−	0.634472i	−0.0124321	−	0.0463972i
$188$	−7.53553	−	7.53553i	−0.549585	−	0.549585i
$189$	−13.7247	+	0.794593i	−0.998328	+	0.0577981i
$190$	−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
$193$	−0.732051	+	2.73205i	−0.0526942	+	0.196657i	−0.987255	−	0.159146i	$-0.949126\pi$
$193$	−0.732051	+	2.73205i	−0.0526942	+	0.196657i	0.934561	+	0.355803i	$0.115793\pi$
$194$	−4.94975	+	8.57321i	−0.355371	+	0.615521i
$195$	−19.8995	+	7.65685i	−1.42503	+	0.548319i
$196$	−6.50000	−	2.59808i	−0.464286	−	0.185577i
$197$	−5.00000	−	5.00000i	−0.356235	−	0.356235i	0.506188	−	0.862423i	$-0.331054\pi$
$197$	−5.00000	−	5.00000i	−0.356235	−	0.356235i	−0.862423	+	0.506188i	$0.831054\pi$
$198$	0.0940542	−	0.506052i	0.00668414	−	0.0359636i
$199$	−0.804479	+	0.464466i	−0.0570280	+	0.0329251i	−0.528243	−	0.849093i	$-0.677149\pi$
$199$	−0.804479	+	0.464466i	−0.0570280	+	0.0329251i	0.471215	+	0.882018i	$0.343816\pi$
$200$	−5.16876	+	19.2901i	−0.365487	+	1.36401i
$201$	−2.52594	−	5.48281i	−0.178166	−	0.386727i
$202$	2.82843	+	2.82843i	0.199007	+	0.199007i
$203$	1.15539	−	2.38014i	0.0810928	−	0.167053i
$204$	−1.12132	−	6.53553i	−0.0785081	−	0.457579i
$205$	−16.7262	−	9.65685i	−1.16821	−	0.674464i
$206$	10.1280	+	2.71379i	0.705651	+	0.189079i
$207$	21.4667	+	18.3529i	1.49204	+	1.27562i
$208$	1.59808	+	3.23205i	0.110807	+	0.224102i
$209$		−	0.798990i		−	0.0552673i
$210$	−10.8375	−	11.2846i	−0.747860	−	0.778711i
$211$	−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
$213$	−1.69357	+	18.3804i	−0.116042	+	1.25940i
$214$	1.13165	+	0.303225i	0.0773582	+	0.0207281i
$215$	5.30198	+	19.7873i	0.361592	+	1.34948i
$216$	4.24264	−	15.0000i	0.288675	−	1.02062i
$217$	−9.65685	−	8.36308i	−0.655550	−	0.567723i
$218$	−4.58579			−0.310589
$219$	11.2818	−	5.19756i	0.762356	−	0.351219i
$220$	−0.507306	+	0.292893i	−0.0342026	+	0.0197469i
$221$	13.7750	+	0.888390i	0.926605	+	0.0597596i
$222$	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
$226$	−2.32937	−	8.69333i	−0.154947	−	0.578272i
$227$	1.55291	−	5.79555i	0.103071	−	0.384664i	−0.895049	−	0.445969i	$-0.852859\pi$
$227$	1.55291	−	5.79555i	0.103071	−	0.384664i	0.998119	+	0.0613041i	$0.0195260\pi$
$228$	0.740061	−	8.03189i	0.0490117	−	0.531925i
$229$	−21.7191	+	5.81962i	−1.43524	+	0.384571i	−0.890864	−	0.454270i	$-0.849900\pi$
$229$	−21.7191	+	5.81962i	−1.43524	+	0.384571i	−0.544376	+	0.838842i	$0.683233\pi$
$230$			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	$-0.969408\pi$
$233$	−6.32843	+	10.9612i	−0.414589	+	0.718089i	0.580796	+	0.814049i	$0.302741\pi$
$234$	9.44036	+	5.28011i	0.617136	+	0.345172i
$235$	−18.1924	−	31.5101i	−1.18674	−	2.05549i
$236$	7.23023	−	1.93733i	0.470648	−	0.126110i
$237$	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	$-0.426917\pi$
$239$	−11.5355	−	11.5355i	−0.746172	−	0.746172i	−0.973758	+	0.227586i	$0.926917\pi$
$240$	5.37101	−	2.47443i	0.346697	−	0.159724i
$241$	3.56067	−	13.2886i	0.229363	−	0.855993i	−0.751247	−	0.660021i	$-0.770547\pi$
$241$	3.56067	−	13.2886i	0.229363	−	0.855993i	0.980610	−	0.195972i	$-0.0627861\pi$
$242$	−10.5967	−	2.83939i	−0.681185	−	0.182523i
$243$	−4.99221	−	14.7675i	−0.320250	−	0.947333i
$244$			1.00000i			0.0640184i
$245$	−19.1404	−	14.3119i	−1.22283	−	0.914357i
$246$	1.65685	+	9.65685i	0.105637	+	0.615699i
$247$	15.9051	+	5.38050i	1.01202	+	0.342353i
$248$	12.5446	−	7.24264i	0.796584	−	0.459908i
$249$	2.48817	−	27.0041i	0.157681	−	1.71131i
$250$	−2.82843	+	4.89898i	−0.178885	+	0.309839i
$251$	−2.00000			−0.126239			−0.0631194	−	0.998006i	$-0.520105\pi$
$251$	−2.00000			−0.126239			−0.0631194	+	0.998006i	$0.520105\pi$
$252$	0.887810	−	7.88745i	0.0559268	−	0.496862i
$253$	−1.14214	+	1.14214i	−0.0718055	+	0.0718055i
$254$	−3.14262	−	11.7284i	−0.197185	−	0.735905i
$255$	2.07724	−	22.5443i	0.130082	−	1.41178i
$256$	8.50000	+	14.7224i	0.531250	+	0.920152i
$257$	6.58579	−	11.4069i	0.410810	−	0.711544i	−0.584168	−	0.811632i	$-0.698579\pi$
$257$	6.58579	−	11.4069i	0.410810	−	0.711544i	0.994979	+	0.100089i	$0.0319126\pi$
$258$	6.00000	−	8.48528i	0.373544	−	0.528271i
$259$	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
$262$	−6.92721	−	1.85614i	−0.427964	−	0.114673i
$263$	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
$266$	0.882328	+	12.2892i	0.0540990	+	0.753502i
$267$	−4.48528	+	6.34315i	−0.274495	+	0.388194i
$268$	3.36652	−	0.902057i	0.205643	−	0.0551019i
$269$	−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
$271$	−9.49353	+	2.54378i	−0.576691	+	0.154524i	−0.535363	−	0.844622i	$-0.679825\pi$
$271$	−9.49353	+	2.54378i	−0.576691	+	0.154524i	−0.0413275	+	0.999146i	$0.513159\pi$
$272$	−3.82843			−0.232132
$273$	15.5412	+	5.60985i	0.940598	+	0.339524i
$274$	−8.58579			−0.518686
$275$	−1.10322	+	0.295606i	−0.0665266	+	0.0178257i
$276$	−12.5393	+	10.4235i	−0.754776	+	0.627420i
$277$	1.58346	−	0.914214i	0.0951412	−	0.0549298i	−0.451675	−	0.892183i	$-0.649173\pi$
$277$	1.58346	−	0.914214i	0.0951412	−	0.0549298i	0.546816	+	0.837253i	$0.315840\pi$
$278$	16.4894	−	4.41832i	0.988968	−	0.264993i
$279$	6.24264	−	13.0711i	0.373737	−	0.782544i
$280$	22.4383	−	15.1956i	1.34094	−	0.908112i
$281$	6.07107	−	6.07107i	0.362170	−	0.362170i	−0.502442	−	0.864611i	$-0.667565\pi$
$281$	6.07107	−	6.07107i	0.362170	−	0.362170i	0.864611	+	0.502442i	$0.167565\pi$
$282$	−6.39305	+	17.3157i	−0.380701	+	1.03114i
$283$	−18.8785	+	10.8995i	−1.12221	+	0.647908i	−0.941964	−	0.335714i	$-0.891022\pi$
$283$	−18.8785	+	10.8995i	−1.12221	+	0.647908i	−0.180245	+	0.983622i	$0.557689\pi$
$284$	−10.2937	−	2.75820i	−0.610821	−	0.163669i
$285$	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
$288$	13.5355	+	6.46447i	0.797589	+	0.380922i
$289$	1.17157	−	2.02922i	0.0689161	−	0.119366i
$290$	1.70711	+	2.95680i	0.100245	+	0.173629i
$291$	−17.0741	−	1.57321i	−1.00090	−	0.0922234i
$292$	1.85614	+	6.92721i	0.108622	+	0.405384i
$293$	19.1421	−	19.1421i	1.11830	−	1.11830i	0.126304	−	0.991992i	$-0.459689\pi$
$293$	19.1421	−	19.1421i	1.11830	−	1.11830i	0.991992	−	0.126304i	$-0.0403115\pi$
$294$	0.623724	+	12.1083i	0.0363763	+	0.706170i
$295$	25.5563			1.48795
$296$	−6.00000	+	10.3923i	−0.348743	+	0.604040i
$297$	0.864253	−	0.218799i	0.0501490	−	0.0126960i
$298$	2.15232	−	1.24264i	0.124680	−	0.0719842i
$299$	−15.0446	−	30.4272i	−0.870053	−	1.75965i
$300$	−11.3640	+	1.94975i	−0.656099	+	0.112569i
$301$	6.93237	−	14.2808i	0.399575	−	0.823134i
$302$			14.1716i			0.815482i
$303$	−2.39960	+	6.49938i	−0.137854	+	0.373379i
$304$	−4.49818	−	1.20528i	−0.257988	−	0.0691277i
$305$	−0.883663	+	3.29788i	−0.0505984	+	0.188836i
$306$	−9.46859	+	6.50058i	−0.541283	+	0.371613i
$307$	−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
$310$	15.9236	−	4.26670i	0.904397	−	0.242333i
$311$	−15.0711	−	26.1039i	−0.854602	−	1.48021i	−0.877014	−	0.480465i	$-0.840468\pi$
$311$	−15.0711	−	26.1039i	−0.854602	−	1.48021i	0.0224120	−	0.999749i	$-0.492865\pi$
$312$	−11.7787	+	14.5692i	−0.666840	+	0.824818i
$313$	−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
$317$	−30.0123	+	8.04178i	−1.68566	+	0.451672i	−0.969264	−	0.246021i	$-0.920877\pi$
$317$	−30.0123	+	8.04178i	−1.68566	+	0.451672i	−0.716397	+	0.697693i	$0.754210\pi$
$318$	4.58240	+	0.422224i	0.256968	+	0.0236771i
$319$	−0.0444063	+	0.165727i	−0.00248628	+	0.00927891i
$320$	6.18564	+	23.0851i	0.345788	+	1.29050i
$321$	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
$325$	1.54473	−	23.9519i	0.0856861	−	1.32861i
$326$	6.77962	−	3.91421i	0.375488	−	0.216788i
$327$	−3.32353	−	7.21405i	−0.183791	−	0.398938i
$328$	−16.9706			−0.937043
$329$	−5.32843	+	27.6873i	−0.293766	+	1.52645i
$330$	0.828427	+	0.585786i	0.0456034	+	0.0322465i
$331$	−7.10610	−	26.5203i	−0.390586	−	1.45769i	−0.829169	−	0.558997i	$-0.811186\pi$
$331$	−7.10610	−	26.5203i	−0.390586	−	1.45769i	0.438583	−	0.898691i	$-0.355480\pi$
$332$	15.1234	+	4.05229i	0.830002	+	0.222398i
$333$	0.935500	+	11.9635i	0.0512651	+	0.655595i
$334$	5.98528	−	10.3668i	0.327500	−	0.567247i
$335$	11.8995			0.650139
$336$	−4.40156	−	1.27526i	−0.240125	−	0.0695709i
$337$			11.1421i			0.606951i	0.952839	+	0.303475i	$0.0981470\pi$
$337$			11.1421i			0.606951i	−0.952839	+	0.303475i	$0.901853\pi$
$338$	−7.93546	−	10.2970i	−0.431632	−	0.560084i
$339$	11.9876	−	9.96486i	0.651075	−	0.541217i
$340$	12.6257	+	3.38304i	0.684724	+	0.183471i
$341$	0.717439	+	0.414214i	0.0388515	+	0.0224309i
$342$	−13.1716	+	4.65685i	−0.712237	+	0.251814i
$343$	3.95164	+	18.0938i	0.213368	+	0.976972i
$344$	12.7279	+	12.7279i	0.686244	+	0.686244i
$345$	−50.5638	+	23.2948i	−2.72226	+	1.25415i
$346$	0.384419	−	1.43467i	0.0206665	−	0.0771284i
$347$	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	0.782826	−	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
$351$	−1.46447	+	18.6777i	−0.0781674	+	0.996940i
$352$	−0.428932	+	0.742932i	−0.0228622	+	0.0395984i
$353$	3.32024	−	12.3913i	0.176719	−	0.659523i	−0.819534	−	0.573031i	$-0.805768\pi$
$353$	3.32024	−	12.3913i	0.176719	−	0.659523i	0.996253	−	0.0864922i	$-0.0275658\pi$
$354$	−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
$357$	−12.6537	+	12.1523i	−0.669702	+	0.643169i
$358$	13.0711	+	13.0711i	0.690827	+	0.690827i
$359$	−1.42731	−	5.32681i	−0.0753308	−	0.281138i	0.917977	−	0.396633i	$-0.129821\pi$
$359$	−1.42731	−	5.32681i	−0.0753308	−	0.281138i	−0.993308	+	0.115495i	$0.963155\pi$
$360$	23.3557	+	19.9679i	1.23095	+	1.05240i
$361$	−2.32640	+	1.34315i	−0.122442	+	0.0706919i
$362$	−4.95435	−	18.4899i	−0.260395	−	0.971807i
$363$	−3.21320	−	18.7279i	−0.168649	−	0.982961i
$364$	−4.70951	+	8.29581i	−0.246845	+	0.434819i
$365$			24.4853i			1.28162i
$366$	1.57313	−	0.724745i	0.0822289	−	0.0378830i
$367$	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
$369$	−13.9907	+	9.60521i	−0.728327	+	0.500027i
$370$	−9.65685	+	9.65685i	−0.502036	+	0.502036i
$371$	7.01133	−	0.503391i	0.364010	−	0.0261347i
$372$	6.82843	+	4.82843i	0.354037	+	0.250342i
$373$	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
$375$	−9.75663	−	0.898979i	−0.503830	−	0.0464231i
$376$	−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
$382$	16.3923	+	4.39230i	0.838703	+	0.224730i
$383$	−12.3913	+	3.32024i	−0.633166	+	0.169656i	−0.561106	−	0.827744i	$-0.689624\pi$
$383$	−12.3913	+	3.32024i	−0.633166	+	0.169656i	−0.0720602	+	0.997400i	$0.522957\pi$
$384$	−3.00000	+	4.24264i	−0.153093	+	0.216506i
$385$	1.39425	+	0.676814i	0.0710577	+	0.0344937i
$386$			2.82843i			0.143963i
$387$	17.6969	+	3.28913i	0.899586	+	0.167196i
$388$	2.56218	−	9.56218i	0.130075	−	0.485446i
$389$	−10.3284	−	17.8894i	−0.523672	−	0.907027i	−0.999620	−	0.0275533i	$-0.991228\pi$
$389$	−10.3284	−	17.8894i	−0.523672	−	0.907027i	0.475948	−	0.879473i	$-0.342105\pi$
$390$	−17.2397	+	12.5463i	−0.872966	+	0.635308i
$391$	36.0416			1.82270
$392$	−20.8528	−	2.48168i	−1.05323	−	0.125344i
$393$	−2.10051	−	12.2426i	−0.105956	−	0.617560i
$394$	−6.12372	−	3.53553i	−0.308509	−	0.178118i
$395$	−1.24969	+	4.66390i	−0.0628787	+	0.234666i
$396$	0.0401266	+	0.513152i	0.00201644	+	0.0257869i
$397$	−0.137292	+	0.0367874i	−0.00689051	+	0.00184631i	−0.262263	−	0.964997i	$-0.584469\pi$
$397$	−0.137292	+	0.0367874i	−0.00689051	+	0.00184631i	0.255372	+	0.966843i	$0.417802\pi$
$398$	−0.656854	+	0.656854i	−0.0329251	+	0.0329251i
$399$	−18.6931	+	10.2946i	−0.935828	+	0.515374i
$400$			6.65685i			0.332843i
$401$	−0.972476	−	3.62933i	−0.0485631	−	0.181240i	0.937384	−	0.348298i	$-0.113240\pi$
$401$	−0.972476	−	3.62933i	−0.0485631	−	0.181240i	−0.985947	+	0.167057i	$0.946573\pi$
$402$	−3.85893	−	4.64222i	−0.192466	−	0.231533i
$403$	−13.0769	+	11.4923i	−0.651405	+	0.572474i
$404$	−3.46410	−	2.00000i	−0.172345	−	0.0995037i
$405$	30.5563	+	3.24264i	1.51836	+	0.161128i
$406$	0.500000	−	2.59808i	0.0248146	−	0.128940i
$407$	−0.686292			−0.0340182
$408$	−8.32390	−	18.0679i	−0.412094	−	0.894493i
$409$	1.22873	+	0.329238i	0.0607569	+	0.0162798i	0.289069	−	0.957308i	$-0.406654\pi$
$409$	1.22873	+	0.329238i	0.0607569	+	0.0162798i	−0.228313	+	0.973588i	$0.573321\pi$
$410$	−18.6556	−	4.99876i	−0.921335	−	0.246871i
$411$	−6.22250	−	13.5066i	−0.306934	−	0.666230i
$412$	−10.4853			−0.516573
$413$	−14.9706	−	12.9649i	−0.736653	−	0.637960i
$414$	25.4853	+	12.1716i	1.25253	+	0.598200i
$415$	46.2941	+	26.7279i	2.27249	+	1.31202i
$416$	−11.9007	−	13.5415i	−0.583480	−	0.663929i
$417$	18.9012	+	22.7378i	0.925595	+	1.11348i
$418$	−0.206794	−	0.771765i	−0.0101146	−	0.0377483i
$419$			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	−0.628298	−	0.777973i	$-0.716248\pi$
$421$	3.07107	−	3.07107i	0.149675	−	0.149675i	0.777973	+	0.628298i	$0.216248\pi$
$422$	−0.897280	+	0.240425i	−0.0436789	+	0.0117037i
$423$	−31.8733	+	2.49237i	−1.54973	+	0.121183i
$424$	−2.06293	+	7.69897i	−0.100185	+	0.373895i
$425$	22.0709	+	12.7426i	1.07060	+	0.618109i
$426$	3.12132	+	18.1924i	0.151228	+	0.881424i
$427$	2.19067	−	1.48356i	0.106014	−	0.0717947i
$428$	−1.17157			−0.0566301
$429$	−1.05841	−	0.166774i	−0.0511007	−	0.00805192i
$430$	10.2426	+	17.7408i	0.493944	+	0.855536i
$431$	−5.39079	+	20.1187i	−0.259665	+	0.969084i	0.705770	+	0.708441i	$0.250601\pi$
$431$	−5.39079	+	20.1187i	−0.259665	+	0.969084i	−0.965435	+	0.260643i	$0.916065\pi$
$432$	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	$0.812309\pi$
$434$	−11.4923	−	5.57874i	−0.551649	−	0.267788i
$435$	−3.41421	+	4.82843i	−0.163699	+	0.231505i
$436$	4.42953	−	1.18689i	0.212136	−	0.0568417i
$437$	42.3468	+	11.3468i	2.02572	+	0.542790i
$438$	9.55219	−	7.94041i	0.456421	−	0.379408i
$439$	3.34101	+	1.92893i	0.159458	+	0.0920629i	0.577605	−	0.816316i	$-0.303987\pi$
$439$	3.34101	+	1.92893i	0.159458	+	0.0920629i	−0.418148	+	0.908379i	$0.637321\pi$
$440$	−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	$0.406204\pi$
$444$	−6.89898	−	0.635674i	−0.327411	−	0.0301678i
$445$	−7.65685	−	13.2621i	−0.362970	−	0.628682i
$446$	2.50000	−	4.33013i	0.118378	−	0.205037i
$447$	3.51472	+	2.48528i	0.166240	+	0.117550i
$448$	8.08776	−	16.6610i	0.382111	−	0.787157i
$449$	−2.00000	+	2.00000i	−0.0943858	+	0.0943858i	−0.752723	−	0.658337i	$-0.771260\pi$
$449$	−2.00000	+	2.00000i	−0.0943858	+	0.0943858i	0.658337	+	0.752723i	$0.271260\pi$
$450$	11.3032	+	16.4639i	0.532837	+	0.776118i
$451$	−0.485281	−	0.840532i	−0.0228510	−	0.0395791i
$452$	4.50000	+	7.79423i	0.211662	+	0.366610i
$453$	−22.2938	+	10.2708i	−1.04745	+	0.482563i
$454$		−	6.00000i		−	0.281594i
$455$	−22.8621	+	23.1969i	−1.07179	+	1.08749i
$456$	−4.09188	−	23.8492i	−0.191620	−	1.11684i
$457$	9.20266	+	34.3448i	0.430482	+	1.60658i	0.751652	+	0.659560i	$0.229257\pi$
$457$	9.20266	+	34.3448i	0.430482	+	1.60658i	−0.321170	+	0.947022i	$0.604076\pi$
$458$	−19.4728	+	11.2426i	−0.909905	+	0.525334i
$459$	−17.0886	−	10.1841i	−0.797627	−	0.475352i
$460$	−8.31900	−	31.0469i	−0.387875	−	1.44757i
$461$	−13.9289	−	13.9289i	−0.648735	−	0.648735i	0.303952	−	0.952687i	$-0.401694\pi$
$461$	−13.9289	−	13.9289i	−0.648735	−	0.648735i	−0.952687	+	0.303952i	$0.901694\pi$
$462$	−0.188108	−	0.763412i	−0.00875160	−	0.0355171i
$463$	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
$466$	−3.27583	+	12.2256i	−0.151750	+	0.566339i
$467$	−5.48528	+	9.50079i	−0.253829	+	0.439644i	−0.964577	−	0.263803i	$-0.915023\pi$
$467$	−5.48528	+	9.50079i	−0.253829	+	0.439644i	0.710748	+	0.703447i	$0.248357\pi$
$468$	−10.4853	−	2.65685i	−0.484682	−	0.122813i
$469$	−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
$473$	−0.266438	+	0.994360i	−0.0122508	+	0.0457207i
$474$	2.22474	−	1.02494i	0.102186	−	0.0470772i
$475$	21.9203	+	21.9203i	1.00577	+	1.00577i
$476$	−5.67972	−	8.38682i	−0.260329	−	0.384409i
$477$	2.65685	+	7.51472i	0.121649	+	0.344075i
$478$	−14.1281	−	8.15685i	−0.646204	−	0.373086i
$479$	12.0883	+	3.23905i	0.552328	+	0.147996i	0.524179	−	0.851608i	$-0.324372\pi$
$479$	12.0883	+	3.23905i	0.552328	+	0.147996i	0.0281487	+	0.999604i	$0.491039\pi$
$480$	−22.7378	+	18.9012i	−1.03784	+	0.862718i
$481$	4.62158	−	13.6617i	0.210726	−	0.622918i
$482$		−	13.7574i		−	0.626631i
$483$	41.4372	+	12.0055i	1.88546	+	0.546270i
$484$	10.9706			0.498662
$485$	16.8995	−	29.2708i	0.767367	−	1.32912i
$486$	−8.64420	−	12.9722i	−0.392109	−	0.588431i
$487$	19.9530	+	5.34639i	0.904156	+	0.242268i	0.680800	−	0.732469i	$-0.261632\pi$
$487$	19.9530	+	5.34639i	0.904156	+	0.242268i	0.223356	+	0.974737i	$0.428299\pi$
$488$	0.776457	+	2.89778i	0.0351486	+	0.131176i
$489$	11.0711	+	7.82843i	0.500651	+	0.354014i
$490$	−22.1924	−	8.87039i	−1.00255	−	0.400723i
$491$	−33.2132			−1.49889			−0.749445	−	0.662066i	$-0.769680\pi$
$491$	−33.2132			−1.49889			−0.749445	+	0.662066i	$0.769680\pi$
$492$	−4.09978	−	8.89898i	−0.184832	−	0.401197i
$493$	3.31552	−	1.91421i	0.149323	−	0.0862118i
$494$	16.7557	+	1.08063i	0.753875	+	0.0486197i
$495$	−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
$499$	7.67576	+	28.6463i	0.343614	+	1.28239i	0.894223	+	0.447622i	$0.147729\pi$
$499$	7.67576	+	28.6463i	0.343614	+	1.28239i	−0.550609	+	0.834763i	$0.685604\pi$
$500$	1.46410	−	5.46410i	0.0654766	−	0.244362i
$501$	20.6462	+	1.90235i	0.922403	+	0.0849905i
$502$	−1.93185	+	0.517638i	−0.0862228	+	0.0231033i
$503$		−	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
$507$	10.4474	−	19.9462i	0.463985	−	0.885843i
$508$	6.07107	+	10.5154i	0.269360	+	0.466545i
$509$	1.22873	−	0.329238i	0.0544626	−	0.0145932i	−0.231485	−	0.972839i	$-0.574358\pi$
$509$	1.22873	−	0.329238i	0.0544626	−	0.0145932i	0.285947	+	0.958245i	$0.407692\pi$
$510$	−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
$513$	−16.8719	−	17.3456i	−0.744912	−	0.765827i
$514$	3.40905	−	12.7228i	0.150367	−	0.561177i
$515$	−34.5792	−	9.26546i	−1.52374	−	0.408285i
$516$	−3.59940	+	9.74907i	−0.158455	+	0.429179i
$517$		−	1.82843i		−	0.0804141i
$518$	10.5558	−	0.757875i	0.463797	−	0.0332991i
$519$	2.53553	−	0.435029i	0.111298	−	0.0190956i
$520$	−16.3685	−	33.1047i	−0.717807	−	1.45174i
$521$	−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	$0.862765\pi$
$522$	2.99087	−	0.233875i	0.130907	−	0.0102364i
$523$	−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
$525$	21.1304	+	22.0021i	0.922207	+	0.960251i
$526$	2.48528	−	2.48528i	0.108363	−	0.108363i
$527$	−4.78434	−	17.8554i	−0.208409	−	0.777794i
$528$	0.295919	+	0.0272661i	0.0128782	+	0.00118661i
$529$	−32.8137	−	56.8350i	−1.42668	−	2.47109i
$530$	−4.53553	+	7.85578i	−0.197011	+	0.341233i
$531$	9.67767	−	20.2635i	0.419975	−	0.879359i
$532$	−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
$535$	−3.86370	−	1.03528i	−0.167042	−	0.0447589i
$536$	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
$539$	−0.473383	−	1.10378i	−0.0203900	−	0.0475432i
$540$	−4.82843	+	17.0711i	−0.207782	+	0.734622i
$541$	29.4867	−	7.90095i	1.26773	−	0.339688i	0.438571	−	0.898696i	$-0.355485\pi$
$541$	29.4867	−	7.90095i	1.26773	−	0.339688i	0.829162	+	0.559008i	$0.188818\pi$
$542$	−8.51167	+	4.91421i	−0.365607	+	0.211084i
$543$	25.4964	−	21.1943i	1.09415	−	0.909534i
$544$	18.4899	−	4.95435i	0.792747	−	0.212416i
$545$	15.6569			0.670666
$546$	16.4636	+	1.39634i	0.704577	+	0.0597576i
$547$	0.928932			0.0397183			0.0198591	−	0.999803i	$-0.493678\pi$
$547$	0.928932			0.0397183			0.0198591	+	0.999803i	$0.493678\pi$
$548$	8.29323	−	2.22217i	0.354269	−	0.0949262i
$549$	2.28024	+	1.94949i	0.0973182	+	0.0832022i
$550$	−0.989118	+	0.571068i	−0.0421762	+	0.0243504i
$551$	4.49818	−	1.20528i	0.191629	−	0.0513468i
$552$	−28.2426	+	39.9411i	−1.20209	+	1.70001i
$553$	3.09808	−	2.09808i	0.131744	−	0.0892193i
$554$	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
$557$	7.02429	+	1.88215i	0.297629	+	0.0797494i	0.404543	−	0.914519i	$-0.367430\pi$
$557$	7.02429	+	1.88215i	0.297629	+	0.0797494i	−0.106915	+	0.994268i	$0.534097\pi$
$558$	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
$561$	0.656854	−	0.928932i	0.0277324	−	0.0392195i
$562$	4.29289	−	7.43551i	0.181085	−	0.313648i
$563$	−10.2426	−	17.7408i	−0.431676	−	0.747684i	0.565342	−	0.824857i	$-0.308744\pi$
$563$	−10.2426	−	17.7408i	−0.431676	−	0.747684i	−0.997018	+	0.0771722i	$0.975411\pi$
$564$	1.69357	−	18.3804i	0.0713123	−	0.773953i
$565$	7.95297	+	29.6809i	0.334584	+	1.24868i
$566$	−15.4142	+	15.4142i	−0.647908	+	0.647908i
$567$	−16.2545	−	17.4009i	−0.682624	−	0.730770i
$568$	−31.9706			−1.34146
$569$	13.2574	−	22.9624i	0.555777	−	0.962635i	−0.442065	−	0.896983i	$-0.645754\pi$
$569$	13.2574	−	22.9624i	0.555777	−	0.962635i	0.997843	−	0.0656518i	$-0.0209127\pi$
$570$	2.52673	−	27.4226i	0.105833	−	1.14861i
$571$	−29.4809	+	17.0208i	−1.23374	+	0.712299i	−0.967807	−	0.251693i	$-0.919013\pi$
$571$	−29.4809	+	17.0208i	−1.23374	+	0.712299i	−0.265931	+	0.963992i	$0.585679\pi$
$572$	0.198234	−	0.585993i	0.00828859	−	0.0245016i
$573$	4.97056	+	28.9706i	0.207648	+	1.21026i
$574$	8.39230	+	12.3923i	0.350288	+	0.517245i
$575$		−	62.6690i		−	2.61348i
$576$	20.6464	+	3.83732i	0.860268	+	0.159888i
$577$	28.7836	+	7.71255i	1.19828	+	0.321077i	0.802153	−	0.597119i	$-0.203688\pi$
$577$	28.7836	+	7.71255i	1.19828	+	0.321077i	0.396125	+	0.918197i	$0.370355\pi$
$578$	0.606451	−	2.26330i	0.0252250	−	0.0941411i
$579$	−4.44949	+	2.04989i	−0.184914	+	0.0851904i
$580$	−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
$583$	−0.440312	+	0.117981i	−0.0182358	+	0.00488628i
$584$	10.7574	+	18.6323i	0.445143	+	0.771010i
$585$	−32.2314	−	18.0274i	−1.33260	−	0.745343i
$586$	13.5355	−	23.4442i	0.559148	−	0.968472i
$587$	16.4645	+	16.4645i	0.679561	+	0.679561i	0.959901	−	0.280340i	$-0.0904471\pi$
$587$	16.4645	+	16.4645i	0.679561	+	0.679561i	−0.280340	+	0.959901i	$0.590447\pi$
$588$	−3.73633	−	11.5343i	−0.154084	−	0.475666i
$589$		−	22.4853i		−	0.926490i
$590$	24.6855	−	6.61447i	1.01629	−	0.272313i
$591$	1.12372	−	12.1958i	0.0462238	−	0.501668i
$592$	−1.03528	+	3.86370i	−0.0425496	+	0.158797i
$593$	−9.66827	−	36.0825i	−0.397028	−	1.48173i	−0.818298	−	0.574795i	$-0.805082\pi$
$593$	−9.66827	−	36.0825i	−0.397028	−	1.48173i	0.421269	−	0.906936i	$-0.361585\pi$
$594$	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
$598$	−22.4071	−	25.4966i	−0.916296	−	1.04263i
$599$	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	$0.261660\pi$
$600$	−31.4163	+	14.4736i	−1.28257	+	0.590881i
$601$	−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
$603$	4.50610	−	9.43503i	0.183502	−	0.384224i
$604$	−3.66787	−	13.6887i	−0.149244	−	0.556985i
$605$	36.1796	+	9.69429i	1.47091	+	0.394129i
$606$	−0.635674	+	6.89898i	−0.0258225	+	0.280252i
$607$	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
$609$	4.44949	−	1.09638i	0.180302	−	0.0444274i
$610$			3.41421i			0.138237i
$611$	36.3976	+	12.3129i	1.47249	+	0.498125i
$612$	7.46348	−	8.72973i	0.301693	−	0.352878i
$613$	−21.3877	−	5.73081i	−0.863839	−	0.231465i	−0.200418	−	0.979711i	$-0.564230\pi$
$613$	−21.3877	−	5.73081i	−0.863839	−	0.231465i	−0.663422	+	0.748245i	$0.730897\pi$
$614$	−4.33013	−	2.50000i	−0.174750	−	0.100892i
$615$	−5.65685	−	32.9706i	−0.228106	−	1.32950i
$616$	1.35832	−	0.0975231i	0.0547283	−	0.00392932i
$617$	7.07107	+	7.07107i	0.284670	+	0.284670i	0.834968	−	0.550298i	$-0.185486\pi$
$617$	7.07107	+	7.07107i	0.284670	+	0.284670i	−0.550298	+	0.834968i	$0.685486\pi$
$618$	7.59915	+	16.4947i	0.305683	+	0.663515i
$619$	−1.42731	+	5.32681i	−0.0573686	+	0.214103i	−0.988660	−	0.150173i	$-0.952017\pi$
$619$	−1.42731	+	5.32681i	−0.0573686	+	0.214103i	0.931291	+	0.364276i	$0.118683\pi$
$620$	−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
$624$	−2.53553	+	5.70711i	−0.101503	+	0.228467i
$625$	−6.98528	+	12.0989i	−0.279411	+	0.483954i
$626$	−3.19464	+	11.9226i	−0.127684	+	0.476521i
$627$	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
$630$	3.03117	−	26.9294i	0.120765	−	1.07289i
$631$	−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	$0.759598\pi$
$632$	1.09808	+	4.09808i	0.0436791	+	0.163013i
$633$	−1.02852	−	1.23729i	−0.0408800	−	0.0491780i
$634$	−26.9083	+	15.5355i	−1.06867	+	0.616995i
$635$	10.7296	+	40.0433i	0.425790	+	1.58907i
$636$	−4.53553	+	0.778175i	−0.179846	+	0.0308566i
$637$	25.1603	−	1.99038i	0.996886	−	0.0788618i
$638$			0.171573i			0.00679264i
$639$	−26.3569	+	18.0951i	−1.04266	+	0.715831i
$640$	−5.12132	−	8.87039i	−0.202438	−	0.350633i
$641$	16.1421	+	27.9590i	0.637576	+	1.10431i	0.985963	+	0.166963i	$0.0533961\pi$
$641$	16.1421	+	27.9590i	0.637576	+	1.10431i	−0.348387	+	0.937351i	$0.613271\pi$
$642$	0.849091	+	1.84304i	0.0335110	+	0.0727389i
$643$	−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	$0.969353\pi$
$644$	−10.8771	+	22.4071i	−0.428619	+	0.882965i
$645$	−20.4853	+	28.9706i	−0.806607	+	1.14071i
$646$	−8.91421	+	15.4399i	−0.350725	+	0.607474i
$647$	17.0919	+	29.6040i	0.671951	+	1.16385i	0.977350	+	0.211629i	$0.0678769\pi$
$647$	17.0919	+	29.6040i	0.671951	+	1.16385i	−0.305399	+	0.952225i	$0.598790\pi$
$648$	24.6767	−	10.9571i	0.969394	−	0.430436i
$649$	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
$655$	23.6510	+	6.33726i	0.924120	+	0.247617i
$656$	−5.46410	+	1.46410i	−0.213337	+	0.0571636i
$657$	19.4142	+	9.27208i	0.757421	+	0.361738i
$658$	2.01914	+	28.1230i	0.0787143	+	1.09635i
$659$			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
$661$	10.1231	−	37.7800i	0.393743	−	1.46947i	−0.430167	−	0.902750i	$-0.641545\pi$
$661$	10.1231	−	37.7800i	0.393743	−	1.46947i	0.823910	−	0.566721i	$-0.191788\pi$
$662$	−13.7279	−	23.7775i	−0.533551	−	0.924137i
$663$	14.0684	+	19.3312i	0.546373	+	0.750762i
$664$	46.9706			1.82281
$665$	−3.01246	−	41.9581i	−0.116818	−	1.62707i
$666$	4.00000	+	11.3137i	0.154997	+	0.438397i
$667$	−8.15295	−	4.70711i	−0.315683	−	0.182260i
$668$	−3.09821	+	11.5627i	−0.119873	+	0.447373i
$669$	8.62372	+	0.794593i	0.333412	+	0.0307207i
$670$	11.4940	−	3.07982i	0.444053	−	0.118984i
$671$	−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	$0.737118\pi$
$674$	2.88380	+	10.7625i	0.111080	+	0.414555i
$675$	−17.7080	+	29.7136i	−0.681583	+	1.14368i
$676$	10.3301	+	7.89230i	0.397313	+	0.303550i
$677$	−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	$0.715614\pi$
$678$	9.00000	−	12.7279i	0.345643	−	0.488813i
$679$	−24.7487	+	8.57321i	−0.949769	+	0.329010i
$680$	39.2132			1.50376
$681$	9.43879	−	4.34847i	0.361695	−	0.166634i
$682$	0.800199	+	0.214413i	0.0306412	+	0.00821029i
$683$	6.07014	+	1.62649i	0.232267	+	0.0622359i	0.373075	−	0.927801i	$-0.378303\pi$
$683$	6.07014	+	1.62649i	0.232267	+	0.0622359i	−0.140808	+	0.990037i	$0.544970\pi$
$684$	11.5175	−	7.90723i	0.440382	−	0.302340i
$685$	29.3137			1.12002
$686$	8.50000	+	16.4545i	0.324532	+	0.628235i
$687$	−31.7990	−	22.4853i	−1.21321	−	0.857867i
$688$	5.19615	+	3.00000i	0.198101	+	0.114374i
$689$	0.616525	−	9.55956i	0.0234877	−	0.364190i
$690$	−42.8118	+	35.5880i	−1.62982	+	1.35481i
$691$	4.09670	+	15.2891i	0.155846	+	0.581624i	0.999031	+	0.0440018i	$0.0140107\pi$
$691$	4.09670	+	15.2891i	0.155846	+	0.581624i	−0.843186	+	0.537622i	$0.819323\pi$
$692$			1.48528i			0.0564619i
$693$	1.06462	−	0.849198i	0.0404415	−	0.0322584i
$694$	19.3137	−	19.3137i	0.733138	−	0.733138i
$695$	−56.2983	+	15.0851i	−2.13552	+	0.572210i
$696$	−0.476756	+	5.17423i	−0.0180714	+	0.196129i
$697$	−5.60521	+	20.9189i	−0.212312	+	0.792360i
$698$	3.67423	+	2.12132i	0.139072	+	0.0802932i
$699$	−21.6066	+	3.70711i	−0.817237	+	0.140216i
$700$	−14.5830	+	9.87587i	−0.551185	+	0.373273i
$701$	−20.2843			−0.766126			−0.383063	−	0.923722i	$-0.625131\pi$
$701$	−20.2843			−0.766126			−0.383063	+	0.923722i	$0.625131\pi$
$702$	3.41957	+	18.4203i	0.129063	+	0.695228i
$703$	9.31371	+	16.1318i	0.351273	+	0.608423i
$704$	−0.310844	+	1.16009i	−0.0117154	+	0.0437224i
$705$	21.8272	−	59.1196i	0.822062	−	2.22657i
$706$		−	12.8284i		−	0.482804i
$707$	0.757875	+	10.5558i	0.0285028	+	0.396993i
$708$	10.5858	+	7.48528i	0.397838	+	0.281314i
$709$	−49.0396	+	13.1401i	−1.84172	+	0.493488i	−0.998994	−	0.0448517i	$-0.985718\pi$
$709$	−49.0396	+	13.1401i	−1.84172	+	0.493488i	−0.842728	+	0.538340i	$0.819052\pi$
$710$	−35.1450	−	9.41707i	−1.31897	−	0.353416i
$711$	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
$717$	2.59255	−	28.1370i	0.0968206	−	1.05079i
$718$	−2.75736	−	4.77589i	−0.102904	−	0.178234i
$719$	21.9706	−	38.0541i	0.819364	−	1.41918i	−0.0867880	−	0.996227i	$-0.527660\pi$
$719$	21.9706	−	38.0541i	0.819364	−	1.41918i	0.906152	−	0.422953i	$-0.139006\pi$
$720$	9.24264	+	4.41421i	0.344453	+	0.164508i
$721$	15.5556	+	22.9698i	0.579320	+	0.855440i
$722$	−1.89949	+	1.89949i	−0.0706919	+	0.0706919i
$723$	21.6421	−	9.97058i	0.804880	−	0.370810i
$724$	9.57107	+	16.5776i	0.355706	+	0.616101i
$725$	−3.32843	−	5.76500i	−0.123615	−	0.214107i
$726$	−7.95086	−	17.2581i	−0.295084	−	0.640510i
$727$		−	5.07107i		−	0.188075i	−0.995569	−	0.0940377i	$-0.970023\pi$
$727$		−	5.07107i		−	0.188075i	0.995569	−	0.0940377i	$-0.0299774\pi$
$728$	−7.20577	+	27.6962i	−0.267064	+	1.02649i
$729$	14.1421	−	23.0000i	0.523783	−	0.851852i
$730$	6.33726	+	23.6510i	0.234552	+	0.875362i
$731$	19.8931	−	11.4853i	0.735773	−	0.424798i
$732$	−1.33195	+	1.10721i	−0.0492303	+	0.0409235i
$733$	8.59621	+	32.0815i	0.317508	+	1.18496i	0.921632	+	0.388066i	$0.126857\pi$
$733$	8.59621	+	32.0815i	0.317508	+	1.18496i	−0.604123	+	0.796891i	$0.706477\pi$
$734$	15.8284	+	15.8284i	0.584238	+	0.584238i
$735$	−2.12953	−	41.3403i	−0.0785488	−	1.52486i
$736$	−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
$739$	3.74907	−	13.9917i	0.137912	−	0.514693i	−0.862057	−	0.506811i	$-0.830824\pi$
$739$	3.74907	−	13.9917i	0.137912	−	0.514693i	0.999969	−	0.00788243i	$-0.00250908\pi$
$740$	6.82843	−	11.8272i	0.251018	−	0.434776i
$741$	10.4437	+	27.1421i	0.383657	+	0.997091i
$742$	6.64214	−	2.30090i	0.243840	−	0.0844688i
$743$	16.6066	+	16.6066i	0.609237	+	0.609237i	0.942747	−	0.333510i	$-0.108233\pi$
$743$	16.6066	+	16.6066i	0.609237	+	0.609237i	−0.333510	+	0.942747i	$0.608233\pi$
$744$	23.5363	+	8.68973i	0.862884	+	0.318581i
$745$	−7.34847	+	4.24264i	−0.269227	+	0.155438i
$746$	4.34790	−	16.2266i	0.159188	−	0.594097i
$747$	38.7230	−	26.5850i	1.41680	−	0.972693i
$748$	0.464466	+	0.464466i	0.0169826	+	0.0169826i
$749$	1.73810	+	2.56653i	0.0635089	+	0.0937790i
$750$	−9.65685	+	1.65685i	−0.352618	+	0.0604998i
$751$	−29.4809	−	17.0208i	−1.07577	−	0.621098i	−0.146021	−	0.989282i	$-0.546647\pi$
$751$	−29.4809	−	17.0208i	−1.07577	−	0.621098i	−0.929753	+	0.368183i	$0.879980\pi$
$752$	−10.2937	−	2.75820i	−0.375374	−	0.100581i
$753$	−2.21441	−	2.66390i	−0.0806977	−	0.0970780i
$754$	−3.41542	−	1.15539i	−0.124382	−	0.0420770i
$755$		−	48.3848i		−	1.76090i
$756$	11.4887	−	7.55051i	0.417839	−	0.274609i
$757$	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
$759$	−2.78585	−	0.256689i	−0.101120	−	0.00931722i
$760$	46.0732	+	12.3453i	1.67125	+	0.447810i
$761$	−7.97898	−	29.7780i	−0.289238	−	1.07945i	−0.945687	−	0.325080i	$-0.894609\pi$
$761$	−7.97898	−	29.7780i	−0.289238	−	1.07945i	0.656449	−	0.754371i	$-0.272058\pi$
$762$	12.1421	−	17.1716i	0.439863	−	0.622060i
$763$	−9.17157	−	7.94282i	−0.332033	−	0.287549i
$764$	−16.9706			−0.613973
$765$	32.3278	−	22.1944i	1.16881	−	0.802439i
$766$	−11.1097	+	6.41421i	−0.401411	+	0.231755i
$767$	−20.2725	+	17.8160i	−0.731996	+	0.643299i
$768$	−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
$772$	−0.732051	−	2.73205i	−0.0263471	−	0.0983287i
$773$	5.46437	−	20.3933i	0.196540	−	0.733496i	−0.795323	−	0.606186i	$-0.792699\pi$
$773$	5.46437	−	20.3933i	0.196540	−	0.733496i	0.991863	−	0.127310i	$-0.0406345\pi$
$774$	17.9452	−	1.40325i	0.645028	−	0.0504388i
$775$	−31.0469	+	8.31900i	−1.11524	+	0.298827i
$776$		−	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
$780$	13.4050	−	16.5808i	0.479977	−	0.593687i
$781$	−0.914214	−	1.58346i	−0.0327131	−	0.0566608i
$782$	34.8135	−	9.32826i	1.24493	−	0.333578i
$783$	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
$786$	−5.19756	−	11.2818i	−0.185391	−	0.402410i
$787$	−14.2718	+	53.2632i	−0.508736	+	1.89863i	−0.0759999	+	0.997108i	$0.524215\pi$
$787$	−14.2718	+	53.2632i	−0.508736	+	1.89863i	−0.432736	+	0.901521i	$0.642452\pi$
$788$	6.83013	+	1.83013i	0.243313	+	0.0651956i
$789$	5.71087	+	2.10848i	0.203312	+	0.0750639i
$790$			4.82843i			0.171788i
$791$	10.3986	−	21.4213i	0.369730	−	0.761652i
$792$	0.514719	+	1.45584i	0.0182897	+	0.0517312i
$793$	−1.59808	−	3.23205i	−0.0567494	−	0.114773i
$794$	−0.123093	+	0.0710678i	−0.00436841	+	0.00252210i
$795$	−15.6453	−	1.44156i	−0.554881	−	0.0511269i
$796$	0.464466	−	0.804479i	0.0164626	−	0.0285140i
$797$	−46.2843			−1.63947			−0.819737	−	0.572741i	$-0.805880\pi$
$797$	−46.2843			−1.63947			−0.819737	+	0.572741i	$0.805880\pi$
$798$	−15.3918	+	14.7819i	−0.544862	+	0.523275i
$799$	−28.8492	+	28.8492i	−1.02061	+	1.02061i
$800$	−8.61460	−	32.1501i	−0.304572	−	1.13668i
$801$	−13.4149	+	1.04900i	−0.473992	+	0.0370644i
$802$	−1.87868	−	3.25397i	−0.0663385	−	0.114902i
$803$	−0.615224	+	1.06560i	−0.0217108	+	0.0376042i
$804$	4.92893	+	3.48528i	0.173830	+	0.122916i
$805$	−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
$808$	−11.5911	−	3.10583i	−0.407774	−	0.109263i
$809$	−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	−0.972560	−	0.232654i	$-0.925259\pi$
$811$	−21.0711	+	21.0711i	−0.739905	+	0.739905i	0.232654	+	0.972560i	$0.425259\pi$
$812$	0.189469	+	2.63896i	0.00664905	+	0.0926093i
$813$	−13.8995	−	9.82843i	−0.487477	−	0.344698i
$814$	−0.662907	+	0.177625i	−0.0232349	+	0.00622576i
$815$	−23.1471	+	13.3640i	−0.810806	+	0.468119i
$816$	−4.23886	−	5.09928i	−0.148390	−	0.178510i
$817$	26.9891	−	7.23170i	0.944228	−	0.253005i
$818$	1.27208			0.0444772
$819$	9.73529	+	26.9114i	0.340179	+	0.940361i
$820$	19.3137			0.674464
$821$	−7.82449	+	2.09656i	−0.273076	+	0.0731706i	−0.392758	−	0.919642i	$-0.628479\pi$
$821$	−7.82449	+	2.09656i	−0.273076	+	0.0731706i	0.119682	+	0.992812i	$0.461812\pi$
$822$	−9.50624	−	11.4358i	−0.331568	−	0.398871i
$823$	14.2767	−	8.24264i	0.497654	−	0.287320i	−0.230091	−	0.973169i	$-0.573902\pi$
$823$	14.2767	−	8.24264i	0.497654	−	0.287320i	0.727744	+	0.685849i	$0.240569\pi$
$824$	−30.3840	+	8.14137i	−1.05848	+	0.283618i
$825$	−1.61522	−	1.14214i	−0.0562349	−	0.0397641i
$826$	−17.8160	−	8.64845i	−0.619898	−	0.300918i
$827$	19.6777	−	19.6777i	0.684260	−	0.684260i	−0.276697	−	0.960957i	$-0.589240\pi$
$827$	19.6777	−	19.6777i	0.684260	−	0.684260i	0.960957	+	0.276697i	$0.0892400\pi$
$828$	−27.7671	−	5.16076i	−0.964974	−	0.179349i
$829$	11.1352	−	6.42893i	0.386743	−	0.223286i	−0.294005	−	0.955804i	$-0.594988\pi$
$829$	11.1352	−	6.42893i	0.386743	−	0.223286i	0.680748	+	0.732518i	$0.261655\pi$
$830$	51.6344	+	13.8354i	1.79226	+	0.480233i
$831$	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
$834$	24.1421	+	17.0711i	0.835974	+	0.591123i
$835$	−20.4350	+	35.3945i	−0.707183	+	1.22488i
$836$	0.399495	+	0.691946i	0.0138168	+	0.0239314i
$837$	24.3219	−	6.15748i	0.840688	−	0.212834i
$838$	8.04178	+	30.0123i	0.277799	+	1.03676i
$839$	−32.6066	+	32.6066i	−1.12570	+	1.12570i	−0.134837	+	0.990868i	$0.543051\pi$
$839$	−32.6066	+	32.6066i	−1.12570	+	1.12570i	−0.990868	+	0.134837i	$0.956949\pi$
$840$	45.0836	+	13.0620i	1.55553	+	0.450681i
$841$	28.0000			0.965517
$842$	2.17157	−	3.76127i	0.0748373	−	0.129622i
$843$	14.8083	+	1.36444i	0.510025	+	0.0469939i
$844$	0.804479	−	0.464466i	0.0276913	−	0.0159876i
$845$	27.0933	+	35.1562i	0.932039	+	1.20941i
$846$	−30.1421	+	10.6569i	−1.03631	+	0.366390i
$847$	−16.2755	−	24.0329i	−0.559234	−	0.825780i
$848$			2.65685i			0.0912367i
$849$	−35.4200	−	13.0772i	−1.21561	−	0.448809i
$850$	24.6169	+	6.59608i	0.844352	+	0.226244i
$851$	9.74631	−	36.3737i	0.334099	−	1.24688i
$852$	−7.72350	−	16.7646i	−0.264603	−	0.574347i
$853$	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
$856$	−3.39496	+	0.909676i	−0.116037	+	0.0310921i
$857$	−14.2990	−	24.7666i	−0.488444	−	0.846010i	0.511467	−	0.859303i	$-0.329102\pi$
$857$	−14.2990	−	24.7666i	−0.488444	−	0.846010i	−0.999912	+	0.0132925i	$0.995769\pi$
$858$	−1.06551	+	0.112846i	−0.0363760	+	0.00385251i
$859$	−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
$863$	28.5895	−	7.66052i	0.973196	−	0.260767i	0.263019	−	0.964791i	$-0.415282\pi$
$863$	28.5895	−	7.66052i	0.973196	−	0.260767i	0.710177	+	0.704023i	$0.248615\pi$
$864$	6.37628	+	25.1862i	0.216925	+	0.856851i
$865$	−1.31249	+	4.89828i	−0.0446260	+	0.166546i
$866$	5.98963	+	22.3536i	0.203536	+	0.759606i
$867$	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
$871$	−9.43922	+	8.29546i	−0.319836	+	0.281081i
$872$	11.9142	−	6.87868i	0.403466	−	0.232941i
$873$	−16.8091	−	24.4837i	−0.568902	−	0.828649i
$874$	43.8406			1.48293
$875$	−14.1421	+	4.89898i	−0.478091	+	0.165616i
$876$	−7.17157	+	10.1421i	−0.242305	+	0.342671i
$877$	−11.8169	−	44.1011i	−0.399027	−	1.48919i	−0.814811	−	0.579726i	$-0.803160\pi$
$877$	−11.8169	−	44.1011i	−0.399027	−	1.48919i	0.415784	−	0.909463i	$-0.363507\pi$
$878$	3.72641	+	0.998489i	0.125760	+	0.0336974i
$879$	46.6907	+	4.30210i	1.57484	+	0.145106i
$880$	−0.292893	+	0.507306i	−0.00987343	+	0.0171013i
$881$	−2.00000			−0.0673817			−0.0336909	−	0.999432i	$-0.510726\pi$
$881$	−2.00000			−0.0673817			−0.0336909	+	0.999432i	$0.510726\pi$
$882$	−15.4371	+	14.2372i	−0.519793	+	0.479390i
$883$			18.1421i			0.610531i	0.952267	+	0.305266i	$0.0987453\pi$
$883$			18.1421i			0.610531i	−0.952267	+	0.305266i	$0.901255\pi$
$884$	−12.3737	+	6.11812i	−0.416172	+	0.205775i
$885$	28.2962	+	34.0398i	0.951165	+	1.14424i
$886$	29.6809	+	7.95297i	0.997149	+	0.267185i
$887$	−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
$889$	14.0290	−	28.9000i	0.470516	−	0.969274i
$890$	−10.8284	−	10.8284i	−0.362970	−	0.362970i
$891$	1.24834	+	0.908887i	0.0418208	+	0.0304488i
$892$	−1.29410	+	4.82963i	−0.0433295	+	0.161708i
$893$	−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
$897$	23.8701	−	53.7279i	0.796998	−	1.79392i
$898$	−1.41421	+	2.44949i	−0.0471929	+	0.0817405i
$899$	−1.24969	+	4.66390i	−0.0416795	+	0.155550i
$900$	−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
$903$	26.6969	−	6.57826i	0.888418	−	0.218911i
$904$	19.0919	+	19.0919i	0.634987	+	0.634987i
$905$	16.9152	+	63.1284i	0.562280	+	2.09846i
$906$	−18.8758	+	15.6909i	−0.627108	+	0.521294i
$907$	31.8944	−	18.4142i	1.05903	−	0.611434i	0.133870	−	0.990999i	$-0.457260\pi$
$907$	31.8944	−	18.4142i	1.05903	−	0.611434i	0.925165	+	0.379565i	$0.123926\pi$
$908$	1.55291	+	5.79555i	0.0515353	+	0.192332i
$909$	−11.3137	+	4.00000i	−0.375252	+	0.132672i
$910$	−16.0793	+	28.3237i	−0.533023	+	0.938921i
$911$			32.4264i			1.07433i	0.843476	+	0.537167i	$0.180506\pi$
$911$			32.4264i			1.07433i	−0.843476	+	0.537167i	$0.819494\pi$
$912$	−3.37503	−	7.32585i	−0.111758	−	0.242583i
$913$	1.34315	+	2.32640i	0.0444516	+	0.0769925i
$914$	17.7782	+	30.7927i	0.588050	+	1.01853i
$915$	−5.37101	+	2.47443i	−0.177560	+	0.0818023i
$916$	15.8995	−	15.8995i	0.525334	−	0.525334i
$917$	−10.6395	−	15.7106i	−0.351347	−	0.518808i
$918$	−19.1421	−	5.41421i	−0.631785	−	0.178696i
$919$	−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
$921$	0.794593	−	8.62372i	0.0261827	−	0.284161i
$922$	−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
$928$	−4.82963	−	1.29410i	−0.158540	−	0.0424808i
$929$	41.0376	−	10.9960i	1.34640	−	0.360767i	0.487596	−	0.873069i	$-0.337874\pi$
$929$	41.0376	−	10.9960i	1.34640	−	0.360767i	0.858805	+	0.512302i	$0.171207\pi$
$930$	23.3137	+	16.4853i	0.764487	+	0.540574i
$931$	−19.5209	+	26.1067i	−0.639773	+	0.855613i
$932$		−	12.6569i		−	0.414589i
$933$	18.0823	−	48.9763i	0.591987	−	1.60341i
$934$	−2.83939	+	10.5967i	−0.0929077	+	0.346736i
$935$	1.12132	+	1.94218i	0.0366711	+	0.0635162i
$936$	−32.4469	+	0.442399i	−1.06056	+	0.0144603i
$937$	−35.2843			−1.15269			−0.576343	−	0.817208i	$-0.695521\pi$
$937$	−35.2843			−1.15269			−0.576343	+	0.817208i	$0.695521\pi$
$938$	−8.29546	−	4.02687i	−0.270856	−	0.131482i
$939$	−21.0711	+	3.61522i	−0.687628	+	0.117978i
$940$	31.5101	+	18.1924i	1.02775	+	0.593370i
$941$	1.61571	−	6.02993i	0.0526708	−	0.196570i	−0.934577	−	0.355761i	$-0.884222\pi$
$941$	1.61571	−	6.02993i	0.0526708	−	0.196570i	0.987248	+	0.159191i	$0.0508885\pi$
$942$	0.608408	−	6.60306i	0.0198230	−	0.215139i
$943$	51.4402	−	13.7834i	1.67512	−	0.448848i
$944$	5.29289	−	5.29289i	0.172269	−	0.172269i
$945$	44.5604	−	14.7485i	1.44955	−	0.479770i
$946$			1.02944i			0.0334699i
$947$	−11.2548	−	42.0036i	−0.365732	−	1.36493i	−0.866425	−	0.499307i	$-0.833588\pi$
$947$	−11.2548	−	42.0036i	−0.365732	−	1.36493i	0.500693	−	0.865625i	$-0.333079\pi$
$948$	−1.88366	+	1.56583i	−0.0611785	+	0.0508557i
$949$	−17.0693	−	19.4228i	−0.554094	−	0.630492i
$950$	26.8468	+	15.5000i	0.871025	+	0.502886i
$951$	−43.9411	−	31.0711i	−1.42489	−	1.00755i
$952$	−22.9706	−	19.8931i	−0.744480	−	0.644739i
$953$	−3.14214			−0.101784			−0.0508919	−	0.998704i	$-0.516206\pi$
$953$	−3.14214			−0.101784			−0.0508919	+	0.998704i	$0.516206\pi$
$954$	4.51128	+	6.57102i	0.146058	+	0.212745i
$955$	−55.9668	−	14.9963i	−1.81104	−	0.485268i
$956$	15.7578	+	4.22230i	0.509645	+	0.136559i
$957$	−0.269907	+	0.124347i	−0.00872485	+	0.00401955i
$958$	12.5147			0.404332
$959$	−17.1716	−	14.8710i	−0.554499	−	0.480210i
$960$	−23.8995	+	33.7990i	−0.771353	+	1.09086i
$961$	−6.65652	−	3.84315i	−0.214727	−	0.123972i
$962$	0.928203	−	14.3923i	0.0299265	−	0.464027i
$963$	−2.28397	+	2.67147i	−0.0735999	+	0.0860868i
$964$	3.56067	+	13.2886i	0.114681	+	0.427997i
$965$		−	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	$-0.0910402\pi$
$968$	31.7902	−	8.51817i	1.02178	−	0.273784i
$969$	−30.7495	−	2.83327i	−0.987816	−	0.0910177i
$970$	8.74782	−	32.6473i	0.280876	−	1.04824i
$971$	−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
$973$	40.6315	+	19.7238i	1.30259	+	0.632317i
$974$	20.6569			0.661888
$975$	33.6131	−	24.4622i	1.07648	−	0.783416i
$976$	0.500000	+	0.866025i	0.0160046	+	0.0277208i
$977$	−13.8462	+	51.6746i	−0.442978	+	1.65322i	0.278242	+	0.960511i	$0.410248\pi$
$977$	−13.8462	+	51.6746i	−0.442978	+	1.65322i	−0.721220	+	0.692706i	$0.756418\pi$
$978$	12.7200	+	4.69628i	0.406740	+	0.150170i
$979$		−	0.769553i		−	0.0245950i
$980$	23.7320	+	2.82432i	0.758092	+	0.0902197i
$981$	5.92893	−	12.4142i	0.189296	−	0.396355i
$982$	−32.0815	+	8.59621i	−1.02376	+	0.274316i
$983$	51.1941	+	13.7174i	1.63284	+	0.437517i	0.954737	−	0.297452i	$-0.0961368\pi$
$983$	51.1941	+	13.7174i	1.63284	+	0.437517i	0.678100	+	0.734969i	$0.262803\pi$
$984$	−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
$990$	0.137001	+	1.75201i	0.00435417	+	0.0556826i
$991$	−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
$993$	27.4558	−	38.8284i	0.871285	−	1.23218i
$994$	15.8101	+	23.3457i	0.501467	+	0.740479i
$995$	2.24264	−	2.24264i	0.0710965	−	0.0710965i
$996$	11.3472	+	24.6303i	0.359551	+	0.780441i
$997$	−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
$999$	−14.8990	+	14.4921i	−0.471383	+	0.458509i

Twists

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

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
273.2.cd.c.44.2	✓	8	1.1	even	1	trivial
273.2.cd.c.86.1	yes	8	39.8	even	4	inner
273.2.cd.c.200.1	yes	8	7.4	even	3	inner
273.2.cd.c.242.2	yes	8	273.242	even	12	inner
273.2.cd.d.44.1	yes	8	3.2	odd	2
273.2.cd.d.86.2	yes	8	13.8	odd	4
273.2.cd.d.200.2	yes	8	21.11	odd	6
273.2.cd.d.242.1	yes	8	91.60	odd	12

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 273 = 3 \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	273.cd (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.965926 - 0.258819i) q^{2} +(1.10721 + 1.33195i) q^{3} +(-0.866025 + 0.500000i) q^{4} +(-3.29788 + 0.883663i) q^{5} +(1.41421 + 1.00000i) q^{6} +(2.38014 + 1.15539i) q^{7} +(-2.12132 + 2.12132i) q^{8} +(-0.548188 + 2.94949i) q^{9} +O(q^{10})\)	\(q+(0.965926 - 0.258819i) q^{2} +(1.10721 + 1.33195i) q^{3} +(-0.866025 + 0.500000i) q^{4} +(-3.29788 + 0.883663i) q^{5} +(1.41421 + 1.00000i) q^{6} +(2.38014 + 1.15539i) q^{7} +(-2.12132 + 2.12132i) q^{8} +(-0.548188 + 2.94949i) q^{9} +(-2.95680 + 1.70711i) q^{10} +(-0.165727 - 0.0444063i) q^{11} +(-1.62484 - 0.599900i) q^{12} +(2.00000 - 3.00000i) q^{13} +(2.59808 + 0.500000i) q^{14} +(-4.82843 - 3.41421i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(1.91421 + 3.31552i) q^{17} +(0.233875 + 2.99087i) q^{18} +(1.20528 + 4.49818i) q^{19} +(2.41421 - 2.41421i) q^{20} +(1.09638 + 4.44949i) q^{21} -0.171573 q^{22} +(4.70711 - 8.15295i) q^{23} +(-5.17423 - 0.476756i) q^{24} +(5.76500 - 3.32843i) q^{25} +(1.15539 - 3.41542i) q^{26} +(-4.53553 + 2.53553i) q^{27} +(-2.63896 + 0.189469i) q^{28} -1.00000i q^{29} +(-5.54757 - 2.04819i) q^{30} +(-4.66390 - 1.24969i) q^{31} +(1.29410 - 4.82963i) q^{32} +(-0.124347 - 0.269907i) q^{33} +(2.70711 + 2.70711i) q^{34} +(-8.87039 - 1.70711i) q^{35} +(-1.00000 - 2.82843i) q^{36} +(3.86370 - 1.03528i) q^{37} +(2.32843 + 4.03295i) q^{38} +(6.21027 - 0.657717i) q^{39} +(5.12132 - 8.87039i) q^{40} +(4.00000 + 4.00000i) q^{41} +(2.21063 + 4.01411i) q^{42} -6.00000i q^{43} +(0.165727 - 0.0444063i) q^{44} +(-0.798499 - 10.2115i) q^{45} +(2.43658 - 9.09343i) q^{46} +(2.75820 + 10.2937i) 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} +(-0.232051 + 3.59808i) q^{52} +(2.30090 - 1.32843i) q^{53} +(-3.72474 + 3.62302i) q^{54} +0.585786 q^{55} +(-7.50000 + 2.59808i) q^{56} +(-4.65685 + 6.58579i) q^{57} +(-0.258819 - 0.965926i) q^{58} +(-7.23023 - 1.93733i) q^{59} +(5.88865 + 0.542582i) q^{60} +(0.500000 - 0.866025i) q^{61} -4.82843 q^{62} +(-4.71259 + 6.38682i) q^{63} -7.00000i q^{64} +(-3.94476 + 11.6610i) q^{65} +(-0.189967 - 0.228527i) q^{66} +(-3.36652 - 0.902057i) q^{67} +(-3.31552 - 1.91421i) q^{68} +(16.0711 - 2.75736i) q^{69} +(-9.00997 + 0.646887i) q^{70} +(7.53553 + 7.53553i) q^{71} +(-5.09393 - 7.41970i) q^{72} +(1.85614 - 6.92721i) 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} +(5.82843 - 2.24264i) q^{78} +(0.707107 - 1.22474i) q^{79} +(0.883663 - 3.29788i) q^{80} +(-8.39898 - 3.23375i) q^{81} +(4.89898 + 2.82843i) q^{82} +(-11.0711 - 11.0711i) q^{83} +(-3.17423 - 3.30518i) q^{84} +(-9.24264 - 9.24264i) q^{85} +(-1.55291 - 5.79555i) q^{86} +(1.33195 - 1.10721i) q^{87} +(0.445759 - 0.257359i) q^{88} +(1.16088 + 4.33245i) q^{89} +(-3.41421 - 9.65685i) q^{90} +(8.22646 - 4.82963i) q^{91} +9.41421i q^{92} +(-3.49938 - 7.59575i) q^{93} +(5.32843 + 9.22911i) q^{94} +(-7.94975 - 13.7694i) q^{95} +(7.86566 - 3.62372i) q^{96} +(-7.00000 + 7.00000i) q^{97} +(5.60609 + 4.19187i) q^{98} +(0.221825 - 0.464466i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 8 q + 4 q^{3} - 4 q^{5}+O(q^{10}) \) 8 * q + 4 * q^3 - 4 * q^5	\( 8 q + 4 q^{3} - 4 q^{5} + 8 q^{11} - 4 q^{12} + 16 q^{13} - 16 q^{15} - 4 q^{16} + 4 q^{17} + 8 q^{18} - 16 q^{19} + 8 q^{20} - 24 q^{22} + 32 q^{23} - 12 q^{24} - 8 q^{27} - 4 q^{30} - 8 q^{31} + 12 q^{33} + 16 q^{34} - 8 q^{36} - 4 q^{38} - 4 q^{39} + 24 q^{40} + 32 q^{41} + 20 q^{42} - 8 q^{44} - 20 q^{45} - 4 q^{46} - 16 q^{47} - 8 q^{48} + 32 q^{50} - 12 q^{51} + 12 q^{52} - 20 q^{54} + 16 q^{55} - 60 q^{56} + 8 q^{57} - 24 q^{59} + 8 q^{60} + 4 q^{61} - 16 q^{62} - 8 q^{63} - 20 q^{65} - 4 q^{66} - 24 q^{67} + 72 q^{69} - 16 q^{70} + 32 q^{71} + 24 q^{72} + 8 q^{73} - 12 q^{75} - 32 q^{76} - 48 q^{77} + 24 q^{78} - 4 q^{80} - 28 q^{81} - 32 q^{83} + 4 q^{84} - 40 q^{85} - 4 q^{87} - 24 q^{89} - 16 q^{90} + 8 q^{93} + 20 q^{94} - 24 q^{95} - 56 q^{97} + 64 q^{99}+O(q^{100}) \) 8 * q + 4 * q^3 - 4 * q^5 + 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 - 24 * q^22 + 32 * q^23 - 12 * q^24 - 8 * q^27 - 4 * q^30 - 8 * q^31 + 12 * q^33 + 16 * q^34 - 8 * q^36 - 4 * q^38 - 4 * q^39 + 24 * q^40 + 32 * q^41 + 20 * q^42 - 8 * q^44 - 20 * q^45 - 4 * q^46 - 16 * q^47 - 8 * q^48 + 32 * q^50 - 12 * q^51 + 12 * q^52 - 20 * q^54 + 16 * q^55 - 60 * q^56 + 8 * 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 + 24 * q^78 - 4 * q^80 - 28 * q^81 - 32 * q^83 + 4 * q^84 - 40 * q^85 - 4 * q^87 - 24 * q^89 - 16 * q^90 + 8 * q^93 + 20 * q^94 - 24 * q^95 - 56 * q^97 + 64 * q^99

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