LMFDB - Embedded newform 153.2.n.a.106.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [153,2,Mod(4,153)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(153, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([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("153.4");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 153 = 3^{2} \cdot 17 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	153.n (of order $12$, degree $4$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$1.22171115093$
Analytic rank:	$0$
Dimension:	$64$
Relative dimension:	$16$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			106.2
Character	$\chi$	$=$	153.106
Dual form			153.2.n.a.13.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.92090 - 1.10903i) q^{2} +(1.68009 + 0.421083i) q^{3} +(1.45992 + 2.52865i) q^{4} +(-0.680632 - 0.182375i) q^{5} +(-2.76029 - 2.67213i) q^{6} +(2.07597 - 0.556256i) q^{7} -2.04026i q^{8} +(2.64538 + 1.41491i) q^{9} +O(q^{10})$	\(q+(-1.92090 - 1.10903i) q^{2} +(1.68009 + 0.421083i) q^{3} +(1.45992 + 2.52865i) q^{4} +(-0.680632 - 0.182375i) q^{5} +(-2.76029 - 2.67213i) q^{6} +(2.07597 - 0.556256i) q^{7} -2.04026i q^{8} +(2.64538 + 1.41491i) q^{9} +(1.10517 + 1.10517i) q^{10} +(1.34378 - 0.360065i) q^{11} +(1.38801 + 4.86310i) q^{12} +(0.789498 + 1.36745i) q^{13} +(-4.60466 - 1.23381i) q^{14} +(-1.06673 - 0.593008i) q^{15} +(0.657119 - 1.13816i) q^{16} +(0.767044 - 4.05113i) q^{17} +(-3.51233 - 5.65173i) q^{18} -0.618096i q^{19} +(-0.532504 - 1.98733i) q^{20} +(3.72204 - 0.0603992i) q^{21} +(-2.98060 - 0.798650i) q^{22} +(0.903483 - 3.37184i) q^{23} +(0.859117 - 3.42780i) q^{24} +(-3.90013 - 2.25174i) q^{25} -3.50233i q^{26} +(3.84867 + 3.49110i) q^{27} +(4.43733 + 4.43733i) q^{28} +(2.71754 + 10.1420i) q^{29} +(1.39141 + 2.32215i) q^{30} +(-6.01012 - 1.61041i) q^{31} +(-6.05835 + 3.49779i) q^{32} +(2.40929 - 0.0390965i) q^{33} +(-5.96626 + 6.93115i) q^{34} -1.51442 q^{35} +(0.284214 + 8.75489i) q^{36} +(-2.82195 + 2.82195i) q^{37} +(-0.685490 + 1.18730i) q^{38} +(0.750614 + 2.62988i) q^{39} +(-0.372091 + 1.38866i) q^{40} +(-0.573461 + 2.14019i) q^{41} +(-7.21668 - 4.01186i) q^{42} +(4.30921 + 2.48793i) q^{43} +(2.87229 + 2.87229i) q^{44} +(-1.54249 - 1.44549i) q^{45} +(-5.47500 + 5.47500i) q^{46} +(-4.53681 + 7.85798i) q^{47} +(1.58328 - 1.63551i) q^{48} +(-2.06193 + 1.19046i) q^{49} +(4.99452 + 8.65075i) q^{50} +(2.99456 - 6.48325i) q^{51} +(-2.30520 + 3.99273i) q^{52} -12.8323i q^{53} +(-3.52117 - 10.9744i) q^{54} -0.980288 q^{55} +(-1.13490 - 4.23552i) q^{56} +(0.260270 - 1.03845i) q^{57} +(6.02769 - 22.4957i) q^{58} +(-5.64195 + 3.25738i) q^{59} +(-0.0578203 - 3.56312i) q^{60} +(-2.85755 + 0.765679i) q^{61} +(9.75887 + 9.75887i) q^{62} +(6.27879 + 1.46581i) q^{63} +12.8882 q^{64} +(-0.287969 - 1.07472i) q^{65} +(-4.67137 - 2.59688i) q^{66} +(-5.68099 - 9.83977i) q^{67} +(11.3637 - 3.97472i) q^{68} +(2.93776 - 5.28455i) q^{69} +(2.90906 + 1.67955i) q^{70} +(-5.47599 + 5.47599i) q^{71} +(2.88678 - 5.39725i) q^{72} +(4.12315 - 4.12315i) q^{73} +(8.55035 - 2.29106i) q^{74} +(-5.60438 - 5.42539i) q^{75} +(1.56295 - 0.902368i) q^{76} +(2.58937 - 1.49497i) q^{77} +(1.47477 - 5.88421i) q^{78} +(-7.43322 + 1.99173i) q^{79} +(-0.654829 + 0.654829i) q^{80} +(4.99605 + 7.48595i) q^{81} +(3.47510 - 3.47510i) q^{82} +(2.68568 + 1.55058i) q^{83} +(5.58660 + 9.32357i) q^{84} +(-1.26090 + 2.61744i) q^{85} +(-5.51839 - 9.55814i) q^{86} +(0.295075 + 18.1837i) q^{87} +(-0.734625 - 2.74166i) q^{88} -8.02077 q^{89} +(1.35987 + 4.48731i) q^{90} +(2.39963 + 2.39963i) q^{91} +(9.84522 - 2.63802i) q^{92} +(-9.41940 - 5.23638i) q^{93} +(17.4295 - 10.0630i) q^{94} +(-0.112725 + 0.420696i) q^{95} +(-11.6514 + 3.32552i) q^{96} +(-4.51361 - 16.8450i) q^{97} +5.28103 q^{98} +(4.06427 + 0.948824i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 64 q - 6 q^{3} + 24 q^{4} - 2 q^{5} - 10 q^{6} - 2 q^{7}+O(q^{10}) $ 64 * q - 6 * q^3 + 24 * q^4 - 2 * q^5 - 10 * q^6 - 2 * q^7	$ 64 q - 6 q^{3} + 24 q^{4} - 2 q^{5} - 10 q^{6} - 2 q^{7} - 16 q^{10} - 24 q^{12} - 4 q^{13} - 16 q^{16} - 8 q^{17} - 8 q^{18} + 18 q^{20} - 16 q^{21} - 4 q^{22} - 8 q^{23} - 2 q^{24} - 10 q^{29} - 36 q^{30} - 2 q^{31} + 12 q^{33} + 20 q^{34} - 128 q^{35} - 8 q^{37} - 24 q^{38} + 34 q^{39} - 20 q^{40} + 32 q^{41} + 20 q^{44} + 20 q^{45} - 40 q^{46} - 64 q^{47} + 62 q^{48} + 48 q^{50} + 40 q^{51} + 36 q^{52} - 46 q^{54} - 16 q^{55} + 12 q^{56} + 72 q^{57} - 10 q^{58} - 2 q^{61} - 28 q^{62} + 64 q^{63} - 8 q^{64} + 8 q^{65} - 4 q^{67} - 60 q^{68} - 24 q^{69} - 84 q^{71} + 72 q^{72} - 44 q^{73} - 14 q^{74} + 46 q^{75} - 56 q^{78} + 10 q^{79} + 204 q^{80} + 44 q^{81} - 52 q^{82} - 60 q^{84} + 22 q^{85} + 32 q^{86} + 16 q^{88} + 128 q^{89} - 66 q^{90} + 44 q^{91} + 136 q^{92} + 4 q^{95} - 2 q^{96} - 44 q^{97} + 208 q^{98} + 6 q^{99}+O(q^{100}) $ 64 * q - 6 * q^3 + 24 * q^4 - 2 * q^5 - 10 * q^6 - 2 * q^7 - 16 * q^10 - 24 * q^12 - 4 * q^13 - 16 * q^16 - 8 * q^17 - 8 * q^18 + 18 * q^20 - 16 * q^21 - 4 * q^22 - 8 * q^23 - 2 * q^24 - 10 * q^29 - 36 * q^30 - 2 * q^31 + 12 * q^33 + 20 * q^34 - 128 * q^35 - 8 * q^37 - 24 * q^38 + 34 * q^39 - 20 * q^40 + 32 * q^41 + 20 * q^44 + 20 * q^45 - 40 * q^46 - 64 * q^47 + 62 * q^48 + 48 * q^50 + 40 * q^51 + 36 * q^52 - 46 * q^54 - 16 * q^55 + 12 * q^56 + 72 * q^57 - 10 * q^58 - 2 * q^61 - 28 * q^62 + 64 * q^63 - 8 * q^64 + 8 * q^65 - 4 * q^67 - 60 * q^68 - 24 * q^69 - 84 * q^71 + 72 * q^72 - 44 * q^73 - 14 * q^74 + 46 * q^75 - 56 * q^78 + 10 * q^79 + 204 * q^80 + 44 * q^81 - 52 * q^82 - 60 * q^84 + 22 * q^85 + 32 * q^86 + 16 * q^88 + 128 * q^89 - 66 * q^90 + 44 * q^91 + 136 * q^92 + 4 * q^95 - 2 * q^96 - 44 * q^97 + 208 * q^98 + 6 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/153\mathbb{Z}\right)^\times$.

$n$	$37$	$137$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{2}{3}\right)$

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 $

$2$	−1.92090	−	1.10903i	−1.35828	−	0.784206i	−0.368892	−	0.929472i	$-0.620263\pi$
$2$	−1.92090	−	1.10903i	−1.35828	−	0.784206i	−0.989393	+	0.145266i	$0.953596\pi$
$3$	1.68009	+	0.421083i	0.969998	+	0.243113i
$3$	1.68009	+	0.421083i	0.969998	+	0.243113i
$4$	1.45992	+	2.52865i	0.729958	+	1.26433i
$5$	−0.680632	−	0.182375i	−0.304388	−	0.0815605i	0.103392	−	0.994641i	$-0.467030\pi$
$5$	−0.680632	−	0.182375i	−0.304388	−	0.0815605i	−0.407780	+	0.913080i	$0.633697\pi$
$6$	−2.76029	−	2.67213i	−1.12688	−	1.09089i
$7$	2.07597	−	0.556256i	0.784644	−	0.210245i	0.155813	−	0.987787i	$-0.450200\pi$
$7$	2.07597	−	0.556256i	0.784644	−	0.210245i	0.628831	+	0.777542i	$0.283534\pi$
$8$		−	2.04026i		−	0.721339i
$9$	2.64538	+	1.41491i	0.881793	+	0.471637i
$10$	1.10517	+	1.10517i	0.349485	+	0.349485i
$11$	1.34378	−	0.360065i	0.405165	−	0.108564i	−0.0504801	−	0.998725i	$-0.516075\pi$
$11$	1.34378	−	0.360065i	0.405165	−	0.108564i	0.455645	+	0.890161i	$0.349408\pi$
$12$	1.38801	+	4.86310i	0.400685	+	1.40385i
$13$	0.789498	+	1.36745i	0.218967	+	0.379263i	0.954493	−	0.298235i	$-0.0963978\pi$
$13$	0.789498	+	1.36745i	0.218967	+	0.379263i	−0.735525	+	0.677497i	$0.763064\pi$
$14$	−4.60466	−	1.23381i	−1.23065	−	0.329751i
$15$	−1.06673	−	0.593008i	−0.275427	−	0.153114i
$16$	0.657119	−	1.13816i	0.164280	−	0.284541i
$17$	0.767044	−	4.05113i	0.186036	−	0.982543i
$17$	0.767044	−	4.05113i	0.186036	−	0.982543i
$18$	−3.51233	−	5.65173i	−0.827865	−	1.33213i
$19$		−	0.618096i		−	0.141801i	−0.997483	−	0.0709004i	$-0.977413\pi$
$19$		−	0.618096i		−	0.141801i	0.997483	−	0.0709004i	$-0.0225873\pi$
$20$	−0.532504	−	1.98733i	−0.119072	−	0.444381i
$21$	3.72204	−	0.0603992i	0.812217	−	0.0131802i
$22$	−2.98060	−	0.798650i	−0.635466	−	0.170273i
$23$	0.903483	−	3.37184i	0.188389	−	0.703078i	−0.805490	−	0.592609i	$-0.798098\pi$
$23$	0.903483	−	3.37184i	0.188389	−	0.703078i	0.993880	−	0.110469i	$-0.0352353\pi$
$24$	0.859117	−	3.42780i	0.175367	−	0.699698i
$25$	−3.90013	−	2.25174i	−0.780025	−	0.450348i
$26$		−	3.50233i		−	0.686863i
$27$	3.84867	+	3.49110i	0.740676	+	0.671862i
$28$	4.43733	+	4.43733i	0.838576	+	0.838576i
$29$	2.71754	+	10.1420i	0.504635	+	1.88332i	0.467463	+	0.884013i	$0.345168\pi$
$29$	2.71754	+	10.1420i	0.504635	+	1.88332i	0.0371719	+	0.999309i	$0.488165\pi$
$30$	1.39141	+	2.32215i	0.254036	+	0.423965i
$31$	−6.01012	−	1.61041i	−1.07945	−	0.289238i	−0.325079	−	0.945687i	$-0.605391\pi$
$31$	−6.01012	−	1.61041i	−1.07945	−	0.289238i	−0.754370	+	0.656449i	$0.772058\pi$
$32$	−6.05835	+	3.49779i	−1.07098	+	0.618328i
$33$	2.40929	−	0.0390965i	0.419403	−	0.00680583i
$34$	−5.96626	+	6.93115i	−1.02321	+	1.18868i
$35$	−1.51442			−0.255984
$36$	0.284214	+	8.75489i	0.0473689	+	1.45915i
$37$	−2.82195	+	2.82195i	−0.463926	+	0.463926i	−0.899940	−	0.436014i	$-0.856390\pi$
$37$	−2.82195	+	2.82195i	−0.463926	+	0.463926i	0.436014	+	0.899940i	$0.356390\pi$
$38$	−0.685490	+	1.18730i	−0.111201	+	0.192606i
$39$	0.750614	+	2.62988i	0.120194	+	0.421118i
$40$	−0.372091	+	1.38866i	−0.0588328	+	0.219567i
$41$	−0.573461	+	2.14019i	−0.0895596	+	0.334241i	−0.996139	−	0.0877954i	$-0.972018\pi$
$41$	−0.573461	+	2.14019i	−0.0895596	+	0.334241i	0.906579	+	0.422036i	$0.138684\pi$
$42$	−7.21668	−	4.01186i	−1.11356	−	0.619043i
$43$	4.30921	+	2.48793i	0.657149	+	0.379405i	0.791190	−	0.611571i	$-0.209462\pi$
$43$	4.30921	+	2.48793i	0.657149	+	0.379405i	−0.134041	+	0.990976i	$0.542795\pi$
$44$	2.87229	+	2.87229i	0.433014	+	0.433014i
$45$	−1.54249	−	1.44549i	−0.229940	−	0.215480i
$46$	−5.47500	+	5.47500i	−0.807244	+	0.807244i
$47$	−4.53681	+	7.85798i	−0.661761	+	1.14620i	0.318391	+	0.947959i	$0.396857\pi$
$47$	−4.53681	+	7.85798i	−0.661761	+	1.14620i	−0.980153	+	0.198245i	$0.936476\pi$
$48$	1.58328	−	1.63551i	0.228527	−	0.236066i
$49$	−2.06193	+	1.19046i	−0.294561	+	0.170065i
$50$	4.99452	+	8.65075i	0.706331	+	1.22340i
$51$	2.99456	−	6.48325i	0.419323	−	0.907837i
$52$	−2.30520	+	3.99273i	−0.319674	+	0.553692i
$53$		−	12.8323i		−	1.76266i	−0.472505	−	0.881328i	$-0.656650\pi$
$53$		−	12.8323i		−	1.76266i	0.472505	−	0.881328i	$-0.343350\pi$
$54$	−3.52117	−	10.9744i	−0.479171	−	1.49342i
$55$	−0.980288			−0.132182
$56$	−1.13490	−	4.23552i	−0.151658	−	0.565995i
$57$	0.260270	−	1.03845i	0.0344736	−	0.137547i
$58$	6.02769	−	22.4957i	0.791475	−	2.95382i
$59$	−5.64195	+	3.25738i	−0.734520	+	0.424075i	−0.820073	−	0.572258i	$-0.806067\pi$
$59$	−5.64195	+	3.25738i	−0.734520	+	0.424075i	0.0855536	+	0.996334i	$0.472734\pi$
$60$	−0.0578203	−	3.56312i	−0.00746457	−	0.459997i
$61$	−2.85755	+	0.765679i	−0.365872	+	0.0980352i	−0.437071	−	0.899427i	$-0.643984\pi$
$61$	−2.85755	+	0.765679i	−0.365872	+	0.0980352i	0.0711988	+	0.997462i	$0.477318\pi$
$62$	9.75887	+	9.75887i	1.23938	+	1.23938i
$63$	6.27879	+	1.46581i	0.791053	+	0.184675i
$64$	12.8882			1.61103
$65$	−0.287969	−	1.07472i	−0.0357182	−	0.133302i
$66$	−4.67137	−	2.59688i	−0.575006	−	0.319654i
$67$	−5.68099	−	9.83977i	−0.694044	−	1.20212i	−0.970502	−	0.241093i	$-0.922494\pi$
$67$	−5.68099	−	9.83977i	−0.694044	−	1.20212i	0.276458	−	0.961026i	$-0.410839\pi$
$68$	11.3637	−	3.97472i	1.37805	−	0.482006i
$69$	2.93776	−	5.28455i	0.353664	−	0.636185i
$70$	2.90906	+	1.67955i	0.347699	+	0.200744i
$71$	−5.47599	+	5.47599i	−0.649881	+	0.649881i	−0.952964	−	0.303083i	$-0.901984\pi$
$71$	−5.47599	+	5.47599i	−0.649881	+	0.649881i	0.303083	+	0.952964i	$0.401984\pi$
$72$	2.88678	−	5.39725i	0.340211	−	0.636072i
$73$	4.12315	−	4.12315i	0.482578	−	0.482578i	−0.423376	−	0.905954i	$-0.639155\pi$
$73$	4.12315	−	4.12315i	0.482578	−	0.482578i	0.905954	+	0.423376i	$0.139155\pi$
$74$	8.55035	−	2.29106i	0.993958	−	0.266330i
$75$	−5.60438	−	5.42539i	−0.647138	−	0.626471i
$76$	1.56295	−	0.902368i	0.179282	−	0.103509i
$77$	2.58937	−	1.49497i	0.295086	−	0.170368i
$78$	1.47477	−	5.88421i	0.166985	−	0.666255i
$79$	−7.43322	+	1.99173i	−0.836303	+	0.224087i	−0.651461	−	0.758682i	$-0.725844\pi$
$79$	−7.43322	+	1.99173i	−0.836303	+	0.224087i	−0.184841	+	0.982768i	$0.559177\pi$
$80$	−0.654829	+	0.654829i	−0.0732122	+	0.0732122i
$81$	4.99605	+	7.48595i	0.555116	+	0.831773i
$82$	3.47510	−	3.47510i	0.383761	−	0.383761i
$83$	2.68568	+	1.55058i	0.294792	+	0.170198i	0.640101	−	0.768291i	$-0.278893\pi$
$83$	2.68568	+	1.55058i	0.294792	+	0.170198i	−0.345309	+	0.938489i	$0.612226\pi$
$84$	5.58660	+	9.32357i	0.609548	+	1.01728i
$85$	−1.26090	+	2.61744i	−0.136764	+	0.283901i
$86$	−5.51839	−	9.55814i	−0.595064	−	1.03068i
$87$	0.295075	+	18.1837i	0.0316354	+	1.94950i
$88$	−0.734625	−	2.74166i	−0.0783113	−	0.292262i
$89$	−8.02077			−0.850200			−0.425100	−	0.905146i	$-0.639761\pi$
$89$	−8.02077			−0.850200			−0.425100	+	0.905146i	$0.639761\pi$
$90$	1.35987	+	4.48731i	0.143343	+	0.473004i
$91$	2.39963	+	2.39963i	0.251550	+	0.251550i
$92$	9.84522	−	2.63802i	1.02644	−	0.275033i
$93$	−9.41940	−	5.23638i	−0.976746	−	0.542987i
$94$	17.4295	−	10.0630i	1.79772	−	1.03791i
$95$	−0.112725	+	0.420696i	−0.0115654	+	0.0431625i
$96$	−11.6514	+	3.32552i	−1.18917	+	0.339409i
$97$	−4.51361	−	16.8450i	−0.458288	−	1.71035i	−0.678238	−	0.734842i	$-0.737256\pi$
$97$	−4.51361	−	16.8450i	−0.458288	−	1.71035i	0.219950	−	0.975511i	$-0.429411\pi$
$98$	5.28103			0.533464
$99$	4.06427	+	0.948824i	0.408474	+	0.0953604i
$100$		−	13.1494i		−	1.31494i
$101$	1.47145	−	2.54862i	0.146414	−	0.253597i	−0.783485	−	0.621410i	$-0.786560\pi$
$101$	1.47145	−	2.54862i	0.146414	−	0.253597i	0.929900	+	0.367813i	$0.119893\pi$
$102$	−12.9424	+	9.13264i	−1.28149	+	0.904266i
$103$	9.14639	+	15.8420i	0.901221	+	1.56096i	0.825911	+	0.563800i	$0.190661\pi$
$103$	9.14639	+	15.8420i	0.901221	+	1.56096i	0.0753097	+	0.997160i	$0.476005\pi$
$104$	2.78995	−	1.61078i	0.273577	−	0.157950i
$105$	−2.54436	−	0.637698i	−0.248304	−	0.0622329i
$106$	−14.2315	+	24.6497i	−1.38229	+	2.39419i
$107$	10.5623	−	10.5623i	1.02110	−	1.02110i	0.0213250	−	0.999773i	$-0.493212\pi$
$107$	10.5623	−	10.5623i	1.02110	−	1.02110i	0.999773	−	0.0213250i	$-0.00678849\pi$
$108$	−3.20903	+	14.8286i	−0.308789	+	1.42689i
$109$	−8.59290	−	8.59290i	−0.823051	−	0.823051i	0.163493	−	0.986544i	$-0.447724\pi$
$109$	−8.59290	−	8.59290i	−0.823051	−	0.823051i	−0.986544	+	0.163493i	$0.947724\pi$
$110$	1.88304	+	1.08717i	0.179541	+	0.103658i
$111$	−5.92940	+	3.55285i	−0.562794	+	0.337221i
$112$	0.731053	−	2.72833i	0.0690780	−	0.257803i
$113$	1.21397	−	4.53061i	0.114201	−	0.426204i	−0.885025	−	0.465544i	$-0.845859\pi$
$113$	1.21397	−	4.53061i	0.114201	−	0.426204i	0.999226	+	0.0393396i	$0.0125254\pi$
$114$	−1.65164	+	1.70612i	−0.154690	+	0.159793i
$115$	−1.22988	+	2.13021i	−0.114687	+	0.198643i
$116$	−21.6782	+	21.6782i	−2.01277	+	2.01277i
$117$	0.153698	+	4.73450i	0.0142094	+	0.437704i
$118$	14.4502			1.33025
$119$	−0.661099	−	8.83671i	−0.0606029	−	0.810060i
$120$	−1.20989	+	2.17639i	−0.110447	+	0.198677i
$121$	−7.85018	+	4.53230i	−0.713653	+	0.412027i
$122$	6.33825	+	1.69833i	0.573838	+	0.153760i
$123$	−1.86466	+	3.35422i	−0.168131	+	0.302440i
$124$	−4.70212	−	17.5485i	−0.422263	−	1.57591i
$125$	4.73518	+	4.73518i	0.423527	+	0.423527i
$126$	−10.4353	−	9.77909i	−0.929652	−	0.871190i
$127$			12.1304i			1.07640i	0.842817	+	0.538200i	$0.180895\pi$
$127$			12.1304i			1.07640i	−0.842817	+	0.538200i	$0.819105\pi$
$128$	−12.6403	−	7.29790i	−1.11726	−	0.645049i
$129$	6.19222	+	5.99447i	0.545195	+	0.527783i
$130$	−0.638736	+	2.38380i	−0.0560209	+	0.209073i
$131$	2.34324	+	0.627870i	0.204730	+	0.0548573i	0.359727	−	0.933058i	$-0.382870\pi$
$131$	2.34324	+	0.627870i	0.204730	+	0.0548573i	−0.154997	+	0.987915i	$0.549537\pi$
$132$	3.61622	+	6.03516i	0.314751	+	0.525293i
$133$	−0.343819	−	1.28315i	−0.0298129	−	0.111263i
$134$			25.2017i			2.17709i
$135$	−1.98284	−	3.07806i	−0.170656	−	0.264917i
$136$	−8.26534	−	1.56497i	−0.708747	−	0.134195i
$137$	7.66674	−	13.2792i	0.655013	−	1.13452i	−0.326877	−	0.945067i	$-0.605996\pi$
$137$	7.66674	−	13.2792i	0.655013	−	1.13452i	0.981890	−	0.189450i	$-0.0606704\pi$
$138$	−11.5039	+	6.89304i	−0.979277	+	0.586774i
$139$	12.9358	+	3.46614i	1.09720	+	0.293994i	0.761624	−	0.648019i	$-0.224402\pi$
$139$	12.9358	+	3.46614i	1.09720	+	0.293994i	0.335577	+	0.942013i	$0.391069\pi$
$140$	−2.21093	−	3.82944i	−0.186858	−	0.323647i
$141$	−10.9311	+	11.2917i	−0.920564	+	0.950933i
$142$	16.5919	−	4.44579i	1.39236	−	0.373083i
$143$	1.55329	+	1.55329i	0.129892	+	0.129892i
$144$	3.34873	−	2.08111i	0.279061	−	0.173426i
$145$		−	7.39858i		−	0.614419i
$146$	−12.4929	+	3.34746i	−1.03392	+	0.277038i
$147$	−3.96550	+	1.13182i	−0.327069	+	0.0933513i
$148$	−11.2555	−	3.01591i	−0.925200	−	0.247907i
$149$	−5.64438	−	9.77634i	−0.462405	−	0.800909i	0.536675	−	0.843789i	$-0.319680\pi$
$149$	−5.64438	−	9.77634i	−0.462405	−	0.800909i	−0.999080	+	0.0428797i	$0.986347\pi$
$150$	4.74853	+	16.6371i	0.387716	+	1.35841i
$151$	16.9004	+	9.75745i	1.37533	+	0.794050i	0.991594	−	0.129391i	$-0.0413022\pi$
$151$	16.9004	+	9.75745i	1.37533	+	0.794050i	0.383741	+	0.923441i	$0.374636\pi$
$152$	−1.26107			−0.102287
$153$	7.76111	−	9.63147i	0.627449	−	0.778658i
$154$	−6.63190			−0.534414
$155$	3.79698	+	2.19219i	0.304981	+	0.176081i
$156$	−5.55421	+	5.73745i	−0.444693	+	0.459363i
$157$	4.19363	+	7.26358i	0.334688	+	0.579697i	0.983425	−	0.181316i	$-0.0580357\pi$
$157$	4.19363	+	7.26358i	0.334688	+	0.579697i	−0.648737	+	0.761013i	$0.724702\pi$
$158$	16.4874	+	4.41779i	1.31167	+	0.351460i
$159$	5.40348	−	21.5594i	0.428524	−	1.70977i
$160$	4.76142	−	1.27582i	0.376423	−	0.100862i
$161$		−	7.50243i		−	0.591274i
$162$	−1.29475	−	19.9206i	−0.101725	−	1.56511i
$163$	2.63511	+	2.63511i	0.206397	+	0.206397i	0.802734	−	0.596337i	$-0.203378\pi$
$163$	2.63511	+	2.63511i	0.206397	+	0.206397i	−0.596337	+	0.802734i	$0.703378\pi$
$164$	−6.24899	+	1.67441i	−0.487964	+	0.130749i
$165$	−1.64697	−	0.412783i	−0.128216	−	0.0321351i
$166$	−3.43929	−	5.95703i	−0.266941	−	0.462355i
$167$	−19.1797	−	5.13919i	−1.48417	−	0.397682i	−0.576406	−	0.817163i	$-0.695545\pi$
$167$	−19.1797	−	5.13919i	−1.48417	−	0.397682i	−0.907764	+	0.419481i	$0.862212\pi$
$168$	−0.123230	−	7.59392i	−0.00950739	−	0.585884i
$169$	5.25338	−	9.09913i	0.404106	−	0.699933i
$170$	5.32490	−	3.62947i	0.408401	−	0.278368i
$171$	0.874551	−	1.63510i	0.0668786	−	0.125039i
$172$			14.5287i			1.10780i
$173$	−1.83168	−	6.83593i	−0.139260	−	0.519726i	−0.999944	−	0.0105863i	$-0.996630\pi$
$173$	−1.83168	−	6.83593i	−0.139260	−	0.519726i	0.860684	−	0.509140i	$-0.170036\pi$
$174$	19.5996	−	35.2565i	1.48584	−	2.67279i
$175$	−9.34910	−	2.50509i	−0.706726	−	0.189367i
$176$	0.473212	−	1.76605i	0.0356697	−	0.133121i
$177$	−10.8506	+	3.09695i	−0.815581	+	0.232781i
$178$	15.4071	+	8.89532i	1.15481	+	0.666732i
$179$			2.09922i			0.156903i	0.996918	+	0.0784515i	$0.0249976\pi$
$179$			2.09922i			0.156903i	−0.996918	+	0.0784515i	$0.975002\pi$
$180$	1.40323	−	6.01070i	0.104590	−	0.448011i
$181$	−8.55217	−	8.55217i	−0.635678	−	0.635678i	0.313809	−	0.949486i	$-0.398395\pi$
$181$	−8.55217	−	8.55217i	−0.635678	−	0.635678i	−0.949486	+	0.313809i	$0.898395\pi$
$182$	−1.94819	−	7.27074i	−0.144409	−	0.538943i
$183$	−5.12335	+	0.0831388i	−0.378729	+	0.00614580i
$184$	−6.87942	−	1.84334i	−0.507158	−	0.135893i
$185$	2.43537	−	1.40606i	0.179052	−	0.103376i
$186$	12.2864	+	20.5050i	0.900886	+	1.50350i
$187$	−0.427931	−	5.72002i	−0.0312934	−	0.418289i
$188$	−26.4934			−1.93223
$189$	9.93167	+	5.10659i	0.722423	+	0.371450i
$190$	0.683101	−	0.683101i	0.0495573	−	0.0495573i
$191$	−3.80937	+	6.59802i	−0.275636	+	0.477416i	−0.970295	−	0.241923i	$-0.922222\pi$
$191$	−3.80937	+	6.59802i	−0.275636	+	0.477416i	0.694659	+	0.719339i	$0.255555\pi$
$192$	21.6533	+	5.42701i	1.56269	+	0.391661i
$193$	−4.21463	+	15.7292i	−0.303376	+	1.13221i	0.630959	+	0.775816i	$0.282662\pi$
$193$	−4.21463	+	15.7292i	−0.303376	+	1.13221i	−0.934335	+	0.356397i	$0.884005\pi$
$194$	−10.0115	+	37.3635i	−0.718784	+	2.68254i
$195$	−0.0312682	−	1.92688i	−0.00223916	−	0.137986i
$196$	−6.02049	−	3.47593i	−0.430035	−	0.248281i
$197$	10.3847	+	10.3847i	0.739876	+	0.739876i	0.972554	−	0.232678i	$-0.0747488\pi$
$197$	10.3847	+	10.3847i	0.739876	+	0.739876i	−0.232678	+	0.972554i	$0.574749\pi$
$198$	−6.75480	−	6.33002i	−0.480042	−	0.449855i
$199$	−10.4656	+	10.4656i	−0.741886	+	0.741886i	−0.972941	−	0.231055i	$-0.925782\pi$
$199$	−10.4656	+	10.4656i	−0.741886	+	0.741886i	0.231055	+	0.972941i	$0.425782\pi$
$200$	−4.59412	+	7.95725i	−0.324854	+	0.562663i
$201$	−5.40120	−	18.9238i	−0.380971	−	1.33478i
$202$	−5.65301	+	3.26377i	−0.397745	+	0.229638i
$203$	11.2831	+	19.5429i	0.791917	+	1.37164i
$204$	20.7657	−	1.89281i	1.45389	−	0.132523i
$205$	0.780632	−	1.35209i	0.0545217	−	0.0944344i
$206$		−	40.5747i		−	2.82697i
$207$	7.16092	−	7.64145i	0.497718	−	0.531118i
$208$	2.07518			0.143888
$209$	−0.222555	−	0.830586i	−0.0153944	−	0.0574528i
$210$	4.18024	+	4.04674i	0.288464	+	0.279252i
$211$	−2.55777	+	9.54573i	−0.176084	+	0.657155i	0.820280	+	0.571962i	$0.193818\pi$
$211$	−2.55777	+	9.54573i	−0.176084	+	0.657155i	−0.996364	+	0.0851935i	$0.972849\pi$
$212$	32.4485	−	18.7341i	2.22857	−	1.28667i
$213$	−11.5060	+	6.89429i	−0.788377	+	0.472389i
$214$	−32.0032	+	8.57523i	−2.18769	+	0.586190i
$215$	−2.47926	−	2.47926i	−0.169084	−	0.169084i
$216$	7.12273	−	7.85226i	0.484641	−	0.534279i
$217$	−13.3726			−0.907794
$218$	6.97632	+	26.0360i	0.472496	+	1.76338i
$219$	8.66344	−	5.19106i	0.585421	−	0.350779i
$220$	−1.43114	−	2.47881i	−0.0964874	−	0.167121i
$221$	6.14530	−	2.14946i	0.413378	−	0.144589i
$222$	15.3300	−	0.248767i	1.02889	−	0.0166962i
$223$	1.92258	+	1.11000i	0.128745	+	0.0743312i	0.562990	−	0.826464i	$-0.309651\pi$
$223$	1.92258	+	1.11000i	0.128745	+	0.0743312i	−0.434244	+	0.900795i	$0.642984\pi$
$224$	−10.6313	+	10.6313i	−0.710335	+	0.710335i
$225$	−7.13130	−	11.4750i	−0.475420	−	0.765003i
$226$	−7.35654	+	7.35654i	−0.489350	+	0.489350i
$227$	−21.5225	+	5.76695i	−1.42850	+	0.382766i	−0.888492	−	0.458893i	$-0.848246\pi$
$227$	−21.5225	+	5.76695i	−1.42850	+	0.382766i	−0.540010	+	0.841659i	$0.681579\pi$
$228$	3.00586	−	0.857925i	0.199068	−	0.0568175i
$229$	12.0654	−	6.96598i	0.797307	−	0.460325i	−0.0452218	−	0.998977i	$-0.514399\pi$
$229$	12.0654	−	6.96598i	0.797307	−	0.460325i	0.842529	+	0.538652i	$0.181066\pi$
$230$	4.72496	−	2.72796i	0.311555	−	0.179876i
$231$	4.97987	−	1.42134i	0.327651	−	0.0935174i
$232$	20.6923	−	5.54448i	1.35851	−	0.364013i
$233$	10.2113	−	10.2113i	0.668962	−	0.668962i	−0.288514	−	0.957476i	$-0.593161\pi$
$233$	10.2113	−	10.2113i	0.668962	−	0.668962i	0.957476	+	0.288514i	$0.0931611\pi$
$234$	4.95548	−	9.26497i	0.323950	−	0.605670i
$235$	4.52100	−	4.52100i	0.294917	−	0.294917i
$236$	−16.4736	−	9.51102i	−1.07234	−	0.619115i
$237$	−13.3271	+	0.216265i	−0.865690	+	0.0140479i
$238$	−8.53031	+	17.7077i	−0.552938	+	1.14782i
$239$	2.11476	+	3.66287i	0.136792	+	0.236931i	0.926281	−	0.376834i	$-0.122987\pi$
$239$	2.11476	+	3.66287i	0.136792	+	0.236931i	−0.789488	+	0.613766i	$0.789654\pi$
$240$	−1.37591	+	0.824432i	−0.0888144	+	0.0532169i
$241$	6.19980	+	23.1380i	0.399364	+	1.49045i	0.814218	+	0.580559i	$0.197166\pi$
$241$	6.19980	+	23.1380i	0.399364	+	1.49045i	−0.414854	+	0.909888i	$0.636167\pi$
$242$	20.1059			1.29246
$243$	5.24158	+	14.6808i	0.336247	+	0.941774i
$244$	−6.10792	−	6.10792i	−0.391020	−	0.391020i
$245$	1.62053	−	0.434219i	0.103532	−	0.0277412i
$246$	7.30178	−	4.37517i	0.465545	−	0.278950i
$247$	0.845216	−	0.487986i	0.0537798	−	0.0310498i
$248$	−3.28564	+	12.2622i	−0.208638	+	0.778649i
$249$	3.85925	+	3.73600i	0.244570	+	0.236760i
$250$	−3.84435	−	14.3473i	−0.243138	−	0.907404i
$251$	1.61415			0.101885			0.0509423	−	0.998702i	$-0.483778\pi$
$251$	1.61415			0.101885			0.0509423	+	0.998702i	$0.483778\pi$
$252$	5.45998	+	18.0168i	0.343946	+	1.13495i
$253$		−	4.85633i		−	0.305315i
$254$	13.4530	−	23.3014i	0.844119	−	1.46206i
$255$	−3.22058	+	3.86658i	−0.201681	+	0.242135i
$256$	3.29903	+	5.71409i	0.206189	+	0.357130i
$257$	10.9454	−	6.31932i	0.682754	−	0.394188i	−0.118138	−	0.992997i	$-0.537692\pi$
$257$	10.9454	−	6.31932i	0.682754	−	0.394188i	0.800892	+	0.598809i	$0.204359\pi$
$258$	−5.24660	−	18.3822i	−0.326639	−	1.14443i
$259$	−4.28857	+	7.42803i	−0.266479	+	0.461555i
$260$	2.29717	−	2.29717i	0.142464	−	0.142464i
$261$	−7.16112	+	30.6745i	−0.443262	+	1.89870i
$262$	−3.80482	−	3.80482i	−0.235062	−	0.235062i
$263$	1.53104	+	0.883946i	0.0944080	+	0.0545065i	0.546461	−	0.837485i	$-0.315975\pi$
$263$	1.53104	+	0.883946i	0.0944080	+	0.0545065i	−0.452053	+	0.891991i	$0.649308\pi$
$264$	−0.0797669	−	4.91556i	−0.00490931	−	0.302532i
$265$	−2.34029	+	8.73410i	−0.143763	+	0.536531i
$266$	−0.762615	+	2.84612i	−0.0467589	+	0.174507i
$267$	−13.4756	−	3.37741i	−0.824693	−	0.206694i
$268$	16.5876	−	28.7305i	1.01325	−	1.75499i
$269$	0.727441	−	0.727441i	0.0443528	−	0.0443528i	−0.684583	−	0.728935i	$-0.740015\pi$
$269$	0.727441	−	0.727441i	0.0443528	−	0.0443528i	0.728935	+	0.684583i	$0.240015\pi$
$270$	0.395173	+	8.11169i	0.0240495	+	0.493662i
$271$	15.2344			0.925424			0.462712	−	0.886509i	$-0.346876\pi$
$271$	15.2344			0.925424			0.462712	+	0.886509i	$0.346876\pi$
$272$	−4.10681	−	3.53510i	−0.249012	−	0.214347i
$273$	3.02114	+	5.04203i	0.182848	+	0.305158i
$274$	−29.4541	+	17.0054i	−1.77939	+	1.02733i
$275$	−6.05169	−	1.62155i	−0.364931	−	0.0977829i
$276$	17.6516	−	0.286441i	1.06250	−	0.0172417i
$277$	−3.37178	−	12.5837i	−0.202591	−	0.756079i	−0.990170	−	0.139866i	$-0.955333\pi$
$277$	−3.37178	−	12.5837i	−0.202591	−	0.756079i	0.787580	−	0.616213i	$-0.211334\pi$
$278$	−21.0044	−	21.0044i	−1.25976	−	1.25976i
$279$	−13.6205	−	12.7639i	−0.815435	−	0.764156i
$280$			3.08981i			0.184651i
$281$	13.3619	+	7.71448i	0.797102	+	0.460207i	0.842457	−	0.538764i	$-0.181109\pi$
$281$	13.3619	+	7.71448i	0.797102	+	0.460207i	−0.0453548	+	0.998971i	$0.514442\pi$
$282$	33.5205	−	9.56734i	1.99612	−	0.569727i
$283$	7.71982	−	28.8108i	0.458896	−	1.71262i	−0.217479	−	0.976065i	$-0.569783\pi$
$283$	7.71982	−	28.8108i	0.458896	−	1.71262i	0.676375	−	0.736558i	$-0.263550\pi$
$284$	−21.8414	−	5.85238i	−1.29605	−	0.347275i
$285$	−0.366536	+	0.659339i	−0.0217117	+	0.0390559i
$286$	−1.26107	−	4.70636i	−0.0745684	−	0.278293i
$287$			4.76196i			0.281090i
$288$	−20.9757	+	0.680943i	−1.23601	+	0.0401249i
$289$	−15.8233	−	6.21479i	−0.930782	−	0.365576i
$290$	−8.20529	+	14.2120i	−0.481831	+	0.834556i
$291$	−0.490096	−	30.2017i	−0.0287299	−	1.77046i
$292$	16.4455	+	4.40655i	0.962398	+	0.257874i
$293$	−3.30348	−	5.72180i	−0.192992	−	0.334271i	0.753249	−	0.657736i	$-0.228486\pi$
$293$	−3.30348	−	5.72180i	−0.192992	−	0.334271i	−0.946240	+	0.323465i	$0.895152\pi$
$294$	8.87258	+	2.22375i	0.517459	+	0.129692i
$295$	4.43416	−	1.18813i	0.258167	−	0.0691756i
$296$	5.75750	+	5.75750i	0.334648	+	0.334648i
$297$	6.42879	+	3.30550i	0.373036	+	0.191805i
$298$			25.0392i			1.45048i
$299$	5.32413	−	1.42660i	0.307902	−	0.0825022i
$300$	5.53700	−	22.0921i	0.319679	−	1.27549i
$301$	10.3297	+	2.76784i	0.595396	+	0.159536i
$302$	−21.6427	−	37.4863i	−1.24540	−	2.15709i
$303$	3.54534	−	3.66230i	0.203674	−	0.210393i
$304$	−0.703494	−	0.406163i	−0.0403482	−	0.0232950i
$305$	2.08458			0.119363
$306$	−25.5900	+	9.89378i	−1.46288	+	0.565590i
$307$	15.9253			0.908908			0.454454	−	0.890770i	$-0.349834\pi$
$307$	15.9253			0.908908			0.454454	+	0.890770i	$0.349834\pi$
$308$	7.56052	+	4.36507i	0.430801	+	0.248723i
$309$	8.69592	+	30.4673i	0.494694	+	1.73323i
$310$	−4.86243	−	8.42198i	−0.276167	−	0.478336i
$311$	−13.8860	−	3.72073i	−0.787401	−	0.210983i	−0.157356	−	0.987542i	$-0.550297\pi$
$311$	−13.8860	−	3.72073i	−0.787401	−	0.210983i	−0.630045	+	0.776559i	$0.716964\pi$
$312$	5.36563	−	1.53144i	0.303769	−	0.0867010i
$313$	2.85650	−	0.765397i	0.161459	−	0.0432628i	−0.177184	−	0.984178i	$-0.556699\pi$
$313$	2.85650	−	0.765397i	0.161459	−	0.0432628i	0.338643	+	0.940915i	$0.390032\pi$
$314$		−	18.6035i		−	1.04986i
$315$	−4.00622	−	2.14277i	−0.225725	−	0.120732i
$316$	−15.8883	−	15.8883i	−0.893785	−	0.893785i
$317$	0.669374	−	0.179358i	0.0375958	−	0.0100738i	−0.239972	−	0.970780i	$-0.577138\pi$
$317$	0.669374	−	0.179358i	0.0375958	−	0.0100738i	0.277568	+	0.960706i	$0.410472\pi$
$318$	−34.2897	+	35.4209i	−1.92287	+	1.98631i
$319$	7.30356	+	12.6501i	0.408921	+	0.708272i
$320$	−8.77214	−	2.35049i	−0.490377	−	0.131396i
$321$	22.1932	−	13.2980i	1.23870	−	0.742221i
$322$	−8.32045	+	14.4114i	−0.463681	+	0.803119i
$323$	−2.50399	−	0.474107i	−0.139325	−	0.0263800i
$324$	−11.6355	+	23.5621i	−0.646419	+	1.30901i
$325$		−	7.11098i		−	0.394446i
$326$	−2.13936	−	7.98421i	−0.118488	−	0.442205i
$327$	−10.8185	−	18.0551i	−0.598264	−	0.998452i
$328$	4.36652	+	1.17001i	0.241101	+	0.0646028i
$329$	−5.04725	+	18.8366i	−0.278264	+	1.03849i
$330$	2.70588	+	2.61946i	0.148954	+	0.144197i
$331$	29.8118	+	17.2119i	1.63861	+	0.946049i	0.981314	+	0.192413i	$0.0616313\pi$
$331$	29.8118	+	17.2119i	1.63861	+	0.946049i	0.657292	+	0.753636i	$0.271702\pi$
$332$			9.05487i			0.496950i
$333$	−11.4579	+	3.47232i	−0.627892	+	0.190282i
$334$	31.1428	+	31.1428i	1.70406	+	1.70406i
$335$	2.07214	+	7.73334i	0.113213	+	0.422517i
$336$	2.37708	−	4.27599i	0.129681	−	0.233274i
$337$	10.3863	+	2.78300i	0.565777	+	0.151599i	0.530359	−	0.847773i	$-0.322057\pi$
$337$	10.3863	+	2.78300i	0.565777	+	0.151599i	0.0354179	+	0.999373i	$0.488724\pi$
$338$	−20.1825	+	11.6524i	−1.09778	+	0.633806i
$339$	3.94735	−	7.10064i	0.214390	−	0.385654i
$340$	−8.45940	+	0.632871i	−0.458775	+	0.0343223i
$341$	−8.65614			−0.468756
$342$	−3.49331	+	2.17096i	−0.188897	+	0.117392i
$343$	−14.2563	+	14.2563i	−0.769770	+	0.769770i
$344$	5.07600	−	8.79189i	0.273680	−	0.474027i
$345$	−2.96330	+	3.06106i	−0.159539	+	0.164802i
$346$	−4.06280	+	15.1626i	−0.218417	+	0.815145i
$347$	−4.84139	+	18.0683i	−0.259900	+	0.969958i	0.705399	+	0.708810i	$0.250768\pi$
$347$	−4.84139	+	18.0683i	−0.259900	+	0.969958i	−0.965299	+	0.261148i	$0.915899\pi$
$348$	−45.5495	+	27.2929i	−2.44171	+	1.46305i
$349$	−15.6854	−	9.05595i	−0.839618	−	0.484754i	0.0175161	−	0.999847i	$-0.494424\pi$
$349$	−15.6854	−	9.05595i	−0.839618	−	0.484754i	−0.857134	+	0.515093i	$0.827758\pi$
$350$	15.1805	+	15.1805i	0.811433	+	0.811433i
$351$	−1.73539	+	8.01908i	−0.0926284	+	0.428027i
$352$	−6.88167	+	6.88167i	−0.366794	+	0.366794i
$353$	−0.479113	+	0.829848i	−0.0255006	+	0.0441683i	−0.878494	−	0.477753i	$-0.841451\pi$
$353$	−0.479113	+	0.829848i	−0.0255006	+	0.0441683i	0.852993	+	0.521922i	$0.174785\pi$
$354$	24.2776	+	6.08474i	1.29034	+	0.323400i
$355$	4.72582	−	2.72845i	0.250821	−	0.144811i
$356$	−11.7097	−	20.2817i	−0.620611	−	1.07493i
$357$	2.61029	−	15.1248i	0.138151	−	0.800490i
$358$	2.32811	−	4.03240i	0.123044	−	0.213119i
$359$			0.712181i			0.0375875i	0.999823	+	0.0187937i	$0.00598258\pi$
$359$			0.712181i			0.0375875i	−0.999823	+	0.0187937i	$0.994017\pi$
$360$	−2.94916	+	3.14706i	−0.155434	+	0.165865i
$361$	18.6180			0.979893
$362$	6.94325	+	25.9125i	0.364929	+	1.36193i
$363$	−15.0975	+	4.30908i	−0.792411	+	0.226168i
$364$	−2.56457	+	9.57109i	−0.134420	+	0.501661i
$365$	−3.55831	+	2.05439i	−0.186251	+	0.107532i
$366$	9.93367	+	5.52227i	0.519241	+	0.288654i
$367$	5.25209	−	1.40729i	0.274157	−	0.0734601i	−0.119121	−	0.992880i	$-0.538008\pi$
$367$	5.25209	−	1.40729i	0.274157	−	0.0734601i	0.393278	+	0.919420i	$0.371341\pi$
$368$	−3.24402	−	3.24402i	−0.169106	−	0.169106i
$369$	−4.54520	+	4.85020i	−0.236613	+	0.252491i
$370$	−6.23748			−0.324271
$371$	−7.13805	−	26.6396i	−0.370589	−	1.38306i
$372$	−0.510564	−	31.4631i	−0.0264715	−	1.63128i
$373$	1.22180	+	2.11622i	0.0632624	+	0.109574i	0.895922	−	0.444212i	$-0.146516\pi$
$373$	1.22180	+	2.11622i	0.0632624	+	0.109574i	−0.832660	+	0.553785i	$0.813183\pi$
$374$	−5.52168	+	11.4622i	−0.285520	+	0.592696i
$375$	5.96160	+	9.94941i	0.307856	+	0.513786i
$376$	16.0323	+	9.25624i	0.826802	+	0.477354i
$377$	−11.7232	+	11.7232i	−0.603775	+	0.603775i
$378$	−13.4144	−	20.8238i	−0.689963	−	1.07106i
$379$	9.40716	−	9.40716i	0.483214	−	0.483214i	−0.422943	−	0.906156i	$-0.639003\pi$
$379$	9.40716	−	9.40716i	0.483214	−	0.483214i	0.906156	+	0.422943i	$0.139003\pi$
$380$	−1.22836	+	0.329139i	−0.0630137	+	0.0168845i
$381$	−5.10791	+	20.3801i	−0.261686	+	1.04411i
$382$	14.6349	−	8.44944i	0.748785	−	0.432311i
$383$	−11.7363	+	6.77593i	−0.599695	+	0.346234i	−0.768921	−	0.639343i	$-0.779206\pi$
$383$	−11.7363	+	6.77593i	−0.599695	+	0.346234i	0.169227	+	0.985577i	$0.445873\pi$
$384$	−18.1638	−	17.5837i	−0.926918	−	0.897316i
$385$	−2.03505	+	0.545291i	−0.103716	+	0.0277906i
$386$	25.5401	−	25.5401i	1.29996	−	1.29996i
$387$	7.87930	+	12.6787i	0.400527	+	0.644493i
$388$	36.0057	−	36.0057i	1.82791	−	1.82791i
$389$	27.6048	+	15.9377i	1.39962	+	0.808072i	0.994353	−	0.106126i	$-0.0338448\pi$
$389$	27.6048	+	15.9377i	1.39962	+	0.808072i	0.405268	+	0.914198i	$0.367178\pi$
$390$	−2.07691	+	3.73602i	−0.105168	+	0.189181i
$391$	−12.9668	−	6.24648i	−0.655757	−	0.315898i
$392$	2.42883	+	4.20686i	0.122675	+	0.212479i
$393$	3.67246	+	2.04158i	0.185251	+	0.102984i
$394$	−8.43099	−	31.4649i	−0.424747	−	1.58518i
$395$	5.42253			0.272837
$396$	3.53425	+	11.6623i	0.177603	+	0.586054i
$397$	−18.4418	−	18.4418i	−0.925566	−	0.925566i	0.0718497	−	0.997415i	$-0.477110\pi$
$397$	−18.4418	−	18.4418i	−0.925566	−	0.925566i	−0.997415	+	0.0718497i	$0.977110\pi$
$398$	31.7101	−	8.49669i	1.58948	−	0.425901i
$399$	−0.0373325	−	2.30058i	−0.00186896	−	0.115173i
$400$	−5.12570	+	2.95932i	−0.256285	+	0.147966i
$401$	5.22837	−	19.5126i	0.261093	−	0.974411i	−0.703506	−	0.710689i	$-0.748383\pi$
$401$	5.22837	−	19.5126i	0.261093	−	0.974411i	0.964599	−	0.263722i	$-0.0849500\pi$
$402$	−10.6120	+	42.3410i	−0.529279	+	2.11178i
$403$	−2.54283	−	9.48996i	−0.126667	−	0.472729i
$404$	8.59275			0.427505
$405$	−2.03522	−	6.00634i	−0.101131	−	0.298457i
$406$		−	50.0533i		−	2.48411i
$407$	−2.77600	+	4.80817i	−0.137601	+	0.238332i
$408$	−13.2275	−	6.10967i	−0.654859	−	0.302474i
$409$	−9.28509	−	16.0823i	−0.459118	−	0.795216i	0.539796	−	0.841796i	$-0.318501\pi$
$409$	−9.28509	−	16.0823i	−0.459118	−	0.795216i	−0.998915	+	0.0465794i	$0.985168\pi$
$410$	−2.99904	+	1.73150i	−0.148112	+	0.0855125i
$411$	18.4724	−	19.0818i	0.911177	−	0.941237i
$412$	−26.7059	+	46.2561i	−1.31571	+	2.27887i
$413$	−9.90061	+	9.90061i	−0.487177	+	0.487177i
$414$	−22.2301	+	6.73680i	−1.09255	+	0.331095i
$415$	−1.54518	−	1.54518i	−0.0758497	−	0.0758497i
$416$	−9.56612	−	5.52300i	−0.469018	−	0.270787i
$417$	20.2737	+	11.2705i	0.992809	+	0.551917i
$418$	−0.493642	+	1.84230i	−0.0241448	+	0.0901097i
$419$	3.87009	−	14.4434i	0.189066	−	0.705605i	−0.804657	−	0.593740i	$-0.797651\pi$
$419$	3.87009	−	14.4434i	0.189066	−	0.705605i	0.993723	−	0.111865i	$-0.0356824\pi$
$420$	−2.10204	−	7.36478i	−0.102569	−	0.359365i
$421$	2.99229	−	5.18280i	0.145835	−	0.252594i	−0.783849	−	0.620952i	$-0.786746\pi$
$421$	2.99229	−	5.18280i	0.145835	−	0.252594i	0.929684	+	0.368357i	$0.120080\pi$
$422$	15.4998	−	15.4998i	0.754518	−	0.754518i
$423$	−23.1199	+	14.3681i	−1.12413	+	0.698603i
$424$	−26.1812			−1.27147
$425$	−12.1137	+	14.0727i	−0.587599	+	0.682628i
$426$	29.7479	−	0.482732i	1.44129	−	0.0233884i
$427$	−5.50629	+	3.17906i	−0.266468	+	0.153845i
$428$	42.1285	+	11.2883i	2.03636	+	0.545641i
$429$	1.95559	+	3.26371i	0.0944168	+	0.157574i
$430$	2.01283	+	7.51199i	0.0970674	+	0.362261i
$431$	8.54383	+	8.54383i	0.411542	+	0.411542i	0.882275	−	0.470734i	$-0.156011\pi$
$431$	8.54383	+	8.54383i	0.411542	+	0.411542i	−0.470734	+	0.882275i	$0.656011\pi$
$432$	6.50248	−	2.08635i	0.312851	−	0.100379i
$433$			19.4265i			0.933576i	0.884369	+	0.466788i	$0.154589\pi$
$433$			19.4265i			0.933576i	−0.884369	+	0.466788i	$0.845411\pi$
$434$	25.6876	+	14.8307i	1.23304	+	0.711898i
$435$	3.11542	−	12.4303i	0.149373	−	0.595985i
$436$	9.18352	−	34.2734i	0.439811	−	1.64140i
$437$	−2.08412	−	0.558439i	−0.0996971	−	0.0267138i
$438$	−22.3987	+	0.363473i	−1.07025	+	0.0173674i
$439$	−3.43804	−	12.8310i	−0.164089	−	0.612388i	−0.998155	−	0.0607231i	$-0.980659\pi$
$439$	−3.43804	−	12.8310i	−0.164089	−	0.612388i	0.834066	−	0.551665i	$-0.186007\pi$
$440$			2.00004i			0.0953481i
$441$	−7.13897	+	0.231755i	−0.339951	+	0.0110360i
$442$	−14.1884	−	2.68644i	−0.674872	−	0.127781i
$443$	−7.61229	+	13.1849i	−0.361671	+	0.626432i	−0.988236	−	0.152937i	$-0.951127\pi$
$443$	−7.61229	+	13.1849i	−0.361671	+	0.626432i	0.626565	+	0.779369i	$0.284460\pi$
$444$	−17.6403	−	9.80652i	−0.837173	−	0.465397i
$445$	5.45920	+	1.46279i	0.258791	+	0.0693428i
$446$	−2.46206	−	4.26441i	−0.116582	−	0.201926i
$447$	−5.36638	−	18.8019i	−0.253821	−	0.889297i
$448$	26.7556	−	7.16914i	1.26408	−	0.338710i
$449$	2.79000	+	2.79000i	0.131668	+	0.131668i	0.769870	−	0.638201i	$-0.220321\pi$
$449$	2.79000	+	2.79000i	0.131668	+	0.131668i	−0.638201	+	0.769870i	$0.720321\pi$
$450$	0.972322	+	29.9513i	0.0458357	+	1.41192i
$451$			3.08242i			0.145146i
$452$	13.2286	−	3.54460i	0.622223	−	0.166724i
$453$	24.2854	+	23.5098i	1.14103	+	1.10459i
$454$	47.7385	+	12.7915i	2.24048	+	0.600334i
$455$	−1.19563	−	2.07090i	−0.0560522	−	0.0970853i
$456$	−2.11871	−	0.531017i	−0.0992177	−	0.0248671i
$457$	3.59004	+	2.07271i	0.167935	+	0.0969573i	0.581612	−	0.813467i	$-0.302422\pi$
$457$	3.59004	+	2.07271i	0.167935	+	0.0969573i	−0.413677	+	0.910424i	$0.635756\pi$
$458$	−30.9021			−1.44396
$459$	17.0950	−	12.9136i	0.797926	−	0.602756i
$460$	−7.18209			−0.334867
$461$	31.2729	+	18.0554i	1.45652	+	0.840925i	0.998838	−	0.0481889i	$-0.0153450\pi$
$461$	31.2729	+	18.0554i	1.45652	+	0.840925i	0.457686	+	0.889114i	$0.348678\pi$
$462$	−11.1422	−	2.79258i	−0.518381	−	0.129923i
$463$	−14.9066	−	25.8190i	−0.692767	−	1.19991i	−0.970927	−	0.239374i	$-0.923058\pi$
$463$	−14.9066	−	25.8190i	−0.692767	−	1.19991i	0.278160	−	0.960535i	$-0.410275\pi$
$464$	13.3290	+	3.57150i	0.618784	+	0.165803i
$465$	5.45617	+	5.28191i	0.253024	+	0.244943i
$466$	−30.9395	+	8.29022i	−1.43325	+	0.384037i
$467$			9.89540i			0.457904i	0.973438	+	0.228952i	$0.0735300\pi$
$467$			9.89540i			0.457904i	−0.973438	+	0.228952i	$0.926470\pi$
$468$	−11.7475	+	7.30062i	−0.543028	+	0.337471i
$469$	−17.2670	−	17.2670i	−0.797317	−	0.797317i
$470$	−13.6983	+	3.67046i	−0.631858	+	0.169306i
$471$	3.98709	+	13.9693i	0.183715	+	0.643672i
$472$	6.64589	+	11.5110i	0.305902	+	0.529838i
$473$	6.68646	+	1.79163i	0.307444	+	0.0823793i
$474$	25.8400	+	14.3648i	1.18687	+	0.659799i
$475$	−1.39179	+	2.41065i	−0.0638597	+	0.110608i
$476$	21.3798	−	14.5726i	0.979941	−	0.667932i
$477$	18.1566	−	33.9464i	0.831334	−	1.55430i
$478$		−	9.38137i		−	0.429094i
$479$	−7.86785	−	29.3632i	−0.359491	−	1.34164i	−0.874737	−	0.484598i	$-0.838966\pi$
$479$	−7.86785	−	29.3632i	−0.359491	−	1.34164i	0.515246	−	0.857042i	$-0.327701\pi$
$480$	8.53682	−	0.138531i	0.389651	−	0.00632303i
$481$	−6.08681	−	1.63096i	−0.277535	−	0.0743652i
$482$	13.7516	−	51.3216i	0.626368	−	2.33764i
$483$	3.15915	−	12.6047i	0.143746	−	0.573535i
$484$	−22.9212	−	13.2336i	−1.04187	−	0.601526i
$485$			12.2884i			0.557989i
$486$	6.21295	−	34.0135i	0.281825	−	1.54288i
$487$	−3.66466	−	3.66466i	−0.166061	−	0.166061i	0.619184	−	0.785246i	$-0.287463\pi$
$487$	−3.66466	−	3.66466i	−0.166061	−	0.166061i	−0.785246	+	0.619184i	$0.787463\pi$
$488$	1.56218	+	5.83014i	0.0707166	+	0.263918i
$489$	3.31761	+	5.53680i	0.150027	+	0.250383i
$490$	−3.59444	−	0.963127i	−0.162380	−	0.0435096i
$491$	24.4122	−	14.0944i	1.10171	−	0.636071i	0.165038	−	0.986287i	$-0.447225\pi$
$491$	24.4122	−	14.0944i	1.10171	−	0.636071i	0.936669	+	0.350217i	$0.113892\pi$
$492$	−11.2039	+	0.181810i	−0.505111	+	0.00819665i
$493$	43.1710	−	3.22975i	1.94432	−	0.145460i
$494$	−2.16477			−0.0973977
$495$	−2.59323	−	1.38702i	−0.116557	−	0.0623420i
$496$	−5.78227	+	5.78227i	−0.259632	+	0.259632i
$497$	−8.32197	+	14.4141i	−0.373291	+	0.646559i
$498$	−3.26990	−	11.4566i	−0.146528	−	0.513380i
$499$	7.21569	−	26.9293i	0.323018	−	1.20552i	−0.593270	−	0.805003i	$-0.702164\pi$
$499$	7.21569	−	26.9293i	0.323018	−	1.20552i	0.916289	−	0.400518i	$-0.131170\pi$
$500$	−5.06064	+	18.8866i	−0.226319	+	0.844634i
$501$	−30.0595	−	16.7105i	−1.34296	−	0.746571i
$502$	−3.10064	−	1.79015i	−0.138388	−	0.0798985i
$503$	5.88417	+	5.88417i	0.262362	+	0.262362i	0.826013	−	0.563651i	$-0.190604\pi$
$503$	5.88417	+	5.88417i	0.262362	+	0.262362i	−0.563651	+	0.826013i	$0.690604\pi$
$504$	2.99064	−	12.8103i	0.133214	−	0.570617i
$505$	−1.46632	+	1.46632i	−0.0652503	+	0.0652503i
$506$	−5.38584	+	9.32855i	−0.239430	+	0.414705i
$507$	12.6576	−	13.0752i	0.562145	−	0.580690i
$508$	−30.6736	+	17.7094i	−1.36092	+	0.785727i
$509$	18.2396	+	31.5919i	0.808455	+	1.40028i	0.913934	+	0.405863i	$0.133029\pi$
$509$	18.2396	+	31.5919i	0.808455	+	1.40028i	−0.105479	+	0.994422i	$0.533638\pi$
$510$	10.4746	−	3.85560i	0.463823	−	0.170729i
$511$	6.26603	−	10.8531i	0.277193	−	0.480112i
$512$			14.5566i			0.643318i
$513$	2.15783	−	2.37884i	0.0952707	−	0.105029i
$514$	−28.0334			−1.23650
$515$	−3.33615	−	12.4507i	−0.147008	−	0.548642i
$516$	−6.11777	+	24.4094i	−0.269320	+	1.07456i
$517$	−3.26709	+	12.1930i	−0.143687	+	0.536245i
$518$	16.4759	−	9.51236i	0.723909	−	0.417949i
$519$	−0.198887	−	12.2562i	−0.00873018	−	0.537989i
$520$	−2.19270	+	0.587531i	−0.0961561	+	0.0257649i
$521$	−10.6930	−	10.6930i	−0.468469	−	0.468469i	0.432949	−	0.901418i	$-0.357473\pi$
$521$	−10.6930	−	10.6930i	−0.468469	−	0.468469i	−0.901418	+	0.432949i	$0.857473\pi$
$522$	47.7749	−	50.9809i	2.09105	−	2.23137i
$523$	−3.75574			−0.164227			−0.0821135	−	0.996623i	$-0.526167\pi$
$523$	−3.75574			−0.164227			−0.0821135	+	0.996623i	$0.526167\pi$
$524$	1.83328	+	6.84188i	0.0800870	+	0.298889i
$525$	−14.6525	−	8.14551i	−0.639485	−	0.355499i
$526$	−1.96065	−	3.39595i	−0.0854886	−	0.148071i
$527$	−11.1340	+	23.1125i	−0.485004	+	1.00680i
$528$	1.53869	−	2.76785i	0.0669629	−	0.120455i
$529$	9.36553	+	5.40719i	0.407197	+	0.235095i
$530$	14.1819	−	14.1819i	0.616023	−	0.616023i
$531$	−19.5340	+	0.634140i	−0.847704	+	0.0275194i
$532$	2.74269	−	2.74269i	0.118911	−	0.118911i
$533$	−3.37935	+	0.905493i	−0.146376	+	0.0392213i
$534$	22.1397	+	21.4326i	0.958077	+	0.927479i
$535$	−9.11536	+	5.26275i	−0.394091	+	0.227529i
$536$	−20.0756	+	11.5907i	−0.867136	+	0.500641i
$537$	−0.883946	+	3.52687i	−0.0381451	+	0.152196i
$538$	−2.20410	+	0.590587i	−0.0950256	+	0.0254620i
$539$	−2.34214	+	2.34214i	−0.100883	+	0.100883i
$540$	4.88855	−	9.50761i	0.210370	−	0.409142i
$541$	−8.62966	+	8.62966i	−0.371018	+	0.371018i	−0.867848	−	0.496830i	$-0.834497\pi$
$541$	−8.62966	+	8.62966i	−0.371018	+	0.371018i	0.496830	+	0.867848i	$0.334497\pi$
$542$	−29.2638	−	16.8955i	−1.25699	−	0.725723i
$543$	−10.7672	−	17.9695i	−0.462065	−	0.771147i
$544$	9.52298	+	27.2261i	0.408294	+	1.16731i
$545$	4.28148	+	7.41574i	0.183398	+	0.317655i
$546$	−0.211538	−	13.0358i	−0.00905298	−	0.557881i
$547$	−3.75548	−	14.0156i	−0.160573	−	0.599265i	−0.998564	−	0.0535811i	$-0.982936\pi$
$547$	−3.75548	−	14.0156i	−0.160573	−	0.599265i	0.837991	−	0.545684i	$-0.183730\pi$
$548$	44.7712			1.91253
$549$	−8.64268	−	2.01768i	−0.368860	−	0.0861123i
$550$	9.82637	+	9.82637i	0.418998	+	0.418998i
$551$	6.26873	−	1.67970i	0.267057	−	0.0715576i
$552$	−10.7818	−	5.99377i	−0.458905	−	0.255112i
$553$	−14.3233	+	8.26954i	−0.609087	+	0.351657i
$554$	−7.47885	+	27.9114i	−0.317746	+	1.18584i
$555$	4.68369	−	1.33681i	0.198812	−	0.0567444i
$556$	10.1205	+	37.7704i	0.429207	+	1.60182i
$557$	−14.3635			−0.608603			−0.304301	−	0.952576i	$-0.598423\pi$
$557$	−14.3635			−0.608603			−0.304301	+	0.952576i	$0.598423\pi$
$558$	12.0080	+	39.6238i	0.508337	+	1.67741i
$559$			7.85685i			0.332309i
$560$	−0.995156	+	1.72366i	−0.0420530	+	0.0728380i
$561$	1.68964	−	9.79031i	0.0713368	−	0.413347i
$562$	−17.1112	−	29.6375i	−0.721794	−	1.25018i
$563$	−1.40962	+	0.813846i	−0.0594085	+	0.0342995i	−0.529410	−	0.848366i	$-0.677587\pi$
$563$	−1.40962	+	0.813846i	−0.0594085	+	0.0342995i	0.470002	+	0.882666i	$0.344253\pi$
$564$	−44.5113	−	11.1559i	−1.87426	−	0.469750i
$565$	−1.65254	+	2.86228i	−0.0695229	+	0.120417i
$566$	−46.7812	+	46.7812i	−1.96636	+	1.96636i
$567$	14.5358	+	12.7616i	0.610445	+	0.535935i
$568$	11.1724	+	11.1724i	0.468784	+	0.468784i
$569$	−38.8838	−	22.4496i	−1.63009	−	0.941135i	−0.984062	−	0.177825i	$-0.943094\pi$
$569$	−38.8838	−	22.4496i	−1.63009	−	0.941135i	−0.646032	−	0.763311i	$-0.723573\pi$
$570$	1.43531	−	0.860026i	0.0601185	−	0.0360225i
$571$	−1.88433	+	7.03241i	−0.0788567	+	0.294297i	−0.994080	−	0.108649i	$-0.965347\pi$
$571$	−1.88433	+	7.03241i	−0.0788567	+	0.294297i	0.915223	+	0.402947i	$0.132014\pi$
$572$	−1.66005	+	6.19538i	−0.0694101	+	0.259042i
$573$	−9.17838	+	9.48117i	−0.383432	+	0.396082i
$574$	5.28118	−	9.14727i	0.220432	−	0.381800i
$575$	−11.1162	+	11.1162i	−0.463578	+	0.463578i
$576$	34.0942	+	18.2357i	1.42059	+	0.759821i
$577$	−3.18399			−0.132551			−0.0662756	−	0.997801i	$-0.521112\pi$
$577$	−3.18399			−0.132551			−0.0662756	+	0.997801i	$0.521112\pi$
$578$	23.5026	+	29.4866i	0.977580	+	1.22648i
$579$	−13.7042	+	24.6517i	−0.569529	+	1.02449i
$580$	18.7084	−	10.8013i	0.776825	−	0.448500i
$581$	6.43793	+	1.72504i	0.267090	+	0.0715666i
$582$	−32.5533	+	58.5581i	−1.34938	+	2.42731i
$583$	−4.62047	−	17.2438i	−0.191360	−	0.714167i
$584$	−8.41228	−	8.41228i	−0.348103	−	0.348103i
$585$	0.758842	−	3.25048i	0.0313742	−	0.134391i
$586$			14.6547i			0.605381i
$587$	−18.4891	−	10.6747i	−0.763125	−	0.440590i	0.0672916	−	0.997733i	$-0.478564\pi$
$587$	−18.4891	−	10.6747i	−0.763125	−	0.440590i	−0.830417	+	0.557143i	$0.811898\pi$
$588$	−8.65129	−	8.37500i	−0.356773	−	0.345379i
$589$	−0.995385	+	3.71483i	−0.0410141	+	0.153067i
$590$	−9.83528	−	2.63536i	−0.404912	−	0.108496i
$591$	13.0743	+	21.8199i	0.537805	+	0.897551i
$592$	1.35749	+	5.06621i	0.0557923	+	0.208220i
$593$			23.1542i			0.950828i	0.879762	+	0.475414i	$0.157702\pi$
$593$			23.1542i			0.950828i	−0.879762	+	0.475414i	$0.842298\pi$
$594$	−8.68317	−	13.4793i	−0.356275	−	0.553063i
$595$	−1.16163	+	6.13512i	−0.0476221	+	0.251515i
$596$	16.4806	−	28.5453i	0.675073	−	1.16926i
$597$	−21.9900	+	13.1762i	−0.899989	+	0.539266i
$598$	−11.8093	−	3.16429i	−0.482918	−	0.129397i
$599$	16.0480	+	27.7959i	0.655703	+	1.13571i	0.981717	+	0.190346i	$0.0609609\pi$
$599$	16.0480	+	27.7959i	0.655703	+	1.13571i	−0.326014	+	0.945365i	$0.605706\pi$
$600$	−11.0692	+	11.4344i	−0.451898	+	0.466806i
$601$	14.5126	−	3.88865i	0.591983	−	0.158621i	0.0496237	−	0.998768i	$-0.484198\pi$
$601$	14.5126	−	3.88865i	0.591983	−	0.158621i	0.542359	+	0.840147i	$0.317531\pi$
$602$	−16.7728	−	16.7728i	−0.683608	−	0.683608i
$603$	−1.10596	−	34.0680i	−0.0450383	−	1.38736i
$604$			56.9802i			2.31849i
$605$	6.16966	−	1.65316i	0.250833	−	0.0672104i
$606$	−10.8719	+	3.10302i	−0.441639	+	0.126052i
$607$	28.9207	+	7.74928i	1.17386	+	0.314534i	0.792487	−	0.609889i	$-0.208786\pi$
$607$	28.9207	+	7.74928i	1.17386	+	0.314534i	0.381369	+	0.924423i	$0.375453\pi$
$608$	2.16197	+	3.74464i	0.0876795	+	0.151865i
$609$	10.7274	+	37.5848i	0.434695	+	1.52301i
$610$	−4.00429	−	2.31188i	−0.162129	−	0.0936052i
$611$	−14.3272			−0.579617
$612$	35.6852	+	5.56400i	1.44249	+	0.224911i
$613$	10.8548			0.438422			0.219211	−	0.975677i	$-0.429652\pi$
$613$	10.8548			0.438422			0.219211	+	0.975677i	$0.429652\pi$
$614$	−30.5911	−	17.6618i	−1.23456	−	0.712771i
$615$	1.88087	−	1.94292i	0.0758442	−	0.0783463i
$616$	−3.05012	−	5.28297i	−0.122893	−	0.212857i
$617$	−32.8640	−	8.80589i	−1.32306	−	0.354512i	−0.472934	−	0.881098i	$-0.656805\pi$
$617$	−32.8640	−	8.80589i	−1.32306	−	0.354512i	−0.850122	+	0.526586i	$0.823472\pi$
$618$	17.0853	−	68.1689i	0.687272	−	2.74216i
$619$	−7.06551	+	1.89320i	−0.283987	+	0.0760940i	−0.398001	−	0.917385i	$-0.630296\pi$
$619$	−7.06551	+	1.89320i	−0.283987	+	0.0760940i	0.114014	+	0.993479i	$0.463629\pi$
$620$			12.8017i			0.514127i
$621$	15.2486	−	9.82295i	0.611907	−	0.394182i
$622$	22.5472	+	22.5472i	0.904060	+	0.904060i
$623$	−16.6509	+	4.46160i	−0.667105	+	0.178750i
$624$	3.48648	+	0.873823i	0.139571	+	0.0349809i
$625$	8.89936	+	15.4141i	0.355974	+	0.616566i
$626$	−6.33592	−	1.69770i	−0.253234	−	0.0678539i
$627$	−0.0241654	−	1.48917i	−0.000965073	−	0.0594717i
$628$	−12.2447	+	21.2085i	−0.488617	+	0.846309i
$629$	9.26753	+	13.5967i	0.369521	+	0.542134i
$630$	5.31915	+	8.55910i	0.211920	+	0.341003i
$631$		−	15.8638i		−	0.631528i	−0.948838	−	0.315764i	$-0.897739\pi$
$631$		−	15.8638i		−	0.631528i	0.948838	−	0.315764i	$-0.102261\pi$
$632$	4.06363	+	15.1657i	0.161642	+	0.603258i
$633$	−8.31683	+	14.9606i	−0.330564	+	0.594631i
$634$	−1.48472	−	0.397829i	−0.0589657	−	0.0157998i
$635$	2.21228	−	8.25635i	0.0877918	−	0.327643i
$636$	62.4048	−	17.8114i	2.47451	−	0.706270i
$637$	−3.25578	−	1.87973i	−0.128999	−	0.0744775i
$638$		−	32.3996i		−	1.28271i
$639$	−22.2341	+	6.73802i	−0.879568	+	0.266552i
$640$	7.27246	+	7.27246i	0.287469	+	0.287469i
$641$	−2.93864	−	10.9671i	−0.116069	−	0.433176i	0.883295	−	0.468817i	$-0.155320\pi$
$641$	−2.93864	−	10.9671i	−0.116069	−	0.433176i	−0.999365	+	0.0356404i	$0.988653\pi$
$642$	−57.3790	+	0.931113i	−2.26457	+	0.0367481i
$643$	−5.01805	−	1.34458i	−0.197893	−	0.0530251i	0.158511	−	0.987357i	$-0.449331\pi$
$643$	−5.01805	−	1.34458i	−0.197893	−	0.0530251i	−0.356404	+	0.934332i	$0.615997\pi$
$644$	18.9710	−	10.9529i	0.747563	−	0.431606i
$645$	−3.12139	−	5.20933i	−0.122905	−	0.205117i
$646$	4.28412	+	3.68772i	0.168556	+	0.145091i
$647$	−30.4504			−1.19713			−0.598565	−	0.801074i	$-0.704262\pi$
$647$	−30.4504			−1.19713			−0.598565	+	0.801074i	$0.704262\pi$
$648$	15.2733	−	10.1932i	0.599990	−	0.400427i
$649$	−6.40868	+	6.40868i	−0.251563	+	0.251563i
$650$	−7.88632	+	13.6595i	−0.309327	+	0.535770i
$651$	−22.4672	−	5.63100i	−0.880559	−	0.220696i
$652$	−2.81623	+	10.5103i	−0.110292	+	0.411615i
$653$	10.7381	−	40.0751i	0.420214	−	1.56826i	−0.353944	−	0.935266i	$-0.615160\pi$
$653$	10.7381	−	40.0751i	0.420214	−	1.56826i	0.774158	−	0.632992i	$-0.218174\pi$
$654$	0.757501	+	46.6803i	0.0296206	+	1.82534i
$655$	−1.48038	−	0.854697i	−0.0578432	−	0.0333958i
$656$	2.05905	+	2.05905i	0.0803924	+	0.0803924i
$657$	16.7412	−	5.07340i	0.653136	−	0.197932i
$658$	30.5857	−	30.5857i	1.19236	−	1.19236i
$659$	6.00551	−	10.4018i	0.233941	−	0.405198i	−0.725023	−	0.688725i	$-0.758171\pi$
$659$	6.00551	−	10.4018i	0.233941	−	0.405198i	0.958964	+	0.283526i	$0.0915043\pi$
$660$	−1.36065	−	4.76724i	−0.0529633	−	0.185564i
$661$	−25.2542	+	14.5805i	−0.982274	+	0.567116i	−0.902956	−	0.429733i	$-0.858608\pi$
$661$	−25.2542	+	14.5805i	−0.982274	+	0.567116i	−0.0793184	+	0.996849i	$0.525274\pi$
$662$	−38.1771	−	66.1247i	−1.48380	−	2.57001i
$663$	11.2297	−	1.02360i	0.436127	−	0.0397534i
$664$	3.16358	−	5.47948i	0.122771	−	0.212645i
$665$			0.936058i			0.0362988i
$666$	25.8605	+	6.03727i	1.00208	+	0.233940i
$667$	36.6525			1.41919
$668$	−15.0056	−	56.0015i	−0.580583	−	2.16676i
$669$	2.76269	+	2.67446i	0.106812	+	0.103401i
$670$	4.59615	−	17.1531i	0.177565	−	0.662681i
$671$	−3.56423	+	2.05781i	−0.137596	+	0.0794409i
$672$	−22.3382	+	13.3849i	−0.861715	+	0.516332i
$673$	−42.0649	+	11.2713i	−1.62148	+	0.434475i	−0.951437	−	0.307843i	$-0.900393\pi$
$673$	−42.0649	+	11.2713i	−1.62148	+	0.434475i	−0.670047	+	0.742318i	$0.733726\pi$
$674$	−16.8646	−	16.8646i	−0.649601	−	0.649601i
$675$	−7.14924	−	22.2819i	−0.275174	−	0.857632i
$676$	30.6780			1.17992
$677$	−4.13715	−	15.4401i	−0.159004	−	0.593409i	−0.998729	−	0.0503985i	$-0.983951\pi$
$677$	−4.13715	−	15.4401i	−0.159004	−	0.593409i	0.839726	−	0.543011i	$-0.182716\pi$
$678$	−15.4573	+	9.26190i	−0.593635	+	0.355701i
$679$	−18.7403	−	32.4591i	−0.719186	−	1.24567i
$680$	5.34025	+	2.57256i	0.204789	+	0.0986530i
$681$	−38.5881	+	0.626185i	−1.47870	+	0.0239955i
$682$	16.6276	+	9.59996i	0.636704	+	0.367601i
$683$	14.9134	−	14.9134i	0.570647	−	0.570647i	−0.361662	−	0.932309i	$-0.617791\pi$
$683$	14.9134	−	14.9134i	0.570647	−	0.570647i	0.932309	+	0.361662i	$0.117791\pi$
$684$	5.41136	−	0.175671i	0.206909	−	0.00671695i
$685$	−7.64002	+	7.64002i	−0.291910	+	0.291910i
$686$	43.1959	−	11.5743i	1.64923	−	0.441909i
$687$	23.2042	−	6.62290i	0.885297	−	0.252679i
$688$	5.66334	−	3.26973i	0.215913	−	0.124657i
$689$	17.5476	−	10.1311i	0.668510	−	0.385964i
$690$	9.08704	−	2.59360i	0.345938	−	0.0987367i
$691$	−47.7510	+	12.7948i	−1.81653	+	0.486739i	−0.996350	−	0.0853617i	$-0.972795\pi$
$691$	−47.7510	+	12.7948i	−1.81653	+	0.486739i	−0.820184	+	0.572100i	$0.806129\pi$
$692$	14.6116	−	14.6116i	0.555449	−	0.555449i
$693$	8.96511	−	0.291038i	0.340556	−	0.0110556i
$694$	29.3383	−	29.3383i	1.11366	−	1.11366i
$695$	−8.17239	−	4.71833i	−0.309997	−	0.178977i
$696$	37.0995	−	0.602029i	1.40625	−	0.0228198i
$697$	8.23030	+	3.96478i	0.311745	+	0.150177i
$698$	20.0867	+	34.7912i	0.760294	+	1.31687i
$699$	21.4556	−	12.8560i	0.811525	−	0.486259i
$700$	−7.31443	−	27.2978i	−0.276460	−	1.03176i
$701$	34.4087			1.29960			0.649799	−	0.760106i	$-0.274853\pi$
$701$	34.4087			1.29960			0.649799	+	0.760106i	$0.274853\pi$
$702$	12.2270	−	13.4793i	0.461477	−	0.508743i
$703$	1.74424	+	1.74424i	0.0657851	+	0.0657851i
$704$	17.3189	−	4.64060i	0.652732	−	0.174899i
$705$	9.49938	−	5.69195i	0.357767	−	0.214371i
$706$	1.84066	−	1.06271i	0.0692741	−	0.0399954i
$707$	1.63700	−	6.10937i	0.0615657	−	0.229766i
$708$	−23.6721	−	22.9161i	−0.889651	−	0.861239i
$709$	−3.43347	−	12.8139i	−0.128946	−	0.481235i	0.871003	−	0.491278i	$-0.163470\pi$
$709$	−3.43347	−	12.8139i	−0.128946	−	0.481235i	−0.999950	+	0.0100427i	$0.996803\pi$
$710$	−12.1038			−0.454248
$711$	−22.4818	−	5.24849i	−0.843133	−	0.196834i
$712$			16.3644i			0.613283i
$713$	−10.8601	+	18.8102i	−0.406713	+	0.704448i
$714$	−21.7881	+	26.1584i	−0.815398	+	0.978954i
$715$	−0.773936	−	1.34050i	−0.0289436	−	0.0501317i
$716$	−5.30819	+	3.06469i	−0.198376	+	0.114533i
$717$	2.01060	+	7.04443i	0.0750874	+	0.263079i
$718$	0.789833	−	1.36803i	0.0294763	−	0.0510545i
$719$	−8.86158	+	8.86158i	−0.330481	+	0.330481i	−0.852769	−	0.522288i	$-0.825079\pi$
$719$	−8.86158	+	8.86158i	−0.330481	+	0.330481i	0.522288	+	0.852769i	$0.325079\pi$
$720$	−2.65880	+	0.805745i	−0.0990875	+	0.0300283i
$721$	27.7999	+	27.7999i	1.03532	+	1.03532i
$722$	−35.7633	−	20.6480i	−1.33097	−	0.768438i
$723$	0.673185	+	41.4844i	0.0250360	+	1.54282i
$724$	9.13998	−	34.1109i	0.339685	−	1.26772i
$725$	12.2384	−	45.6743i	0.454522	−	1.69630i
$726$	33.7797	+	8.46627i	1.25368	+	0.314213i
$727$	−24.1642	+	41.8537i	−0.896202	+	1.55227i	−0.0638921	+	0.997957i	$0.520351\pi$
$727$	−24.1642	+	41.8537i	−0.896202	+	1.55227i	−0.832310	+	0.554311i	$0.812982\pi$
$728$	4.89586	−	4.89586i	0.181453	−	0.181453i
$729$	2.62446	+	26.8721i	0.0972023	+	0.995265i
$730$	9.11357			0.337308
$731$	13.3843	−	15.5488i	0.495035	−	0.575094i
$732$	−7.68989	−	12.8338i	−0.284227	−	0.474350i
$733$	39.3358	−	22.7106i	1.45290	−	0.838833i	0.454257	−	0.890871i	$-0.349905\pi$
$733$	39.3358	−	22.7106i	1.45290	−	0.838833i	0.998645	+	0.0520372i	$0.0165714\pi$
$734$	−11.6495	−	3.12147i	−0.429991	−	0.115216i
$735$	2.90546	−	0.0471482i	0.107170	−	0.00173909i
$736$	6.32039	+	23.5880i	0.232973	+	0.869466i
$737$	−11.1770	−	11.1770i	−0.411709	−	0.411709i
$738$	14.1099	−	4.27600i	0.519394	−	0.157402i
$739$			5.83502i			0.214645i	0.994224	+	0.107322i	$0.0342277\pi$
$739$			5.83502i			0.214645i	−0.994224	+	0.107322i	$0.965772\pi$
$740$	7.11086	+	4.10546i	0.261401	+	0.150920i
$741$	1.62552	−	0.463952i	0.0597149	−	0.0170437i
$742$	−15.8327	+	59.0884i	−0.581237	+	2.16921i
$743$	13.8252	+	3.70445i	0.507198	+	0.135903i	0.503338	−	0.864089i	$-0.332105\pi$
$743$	13.8252	+	3.70445i	0.507198	+	0.135903i	0.00385921	+	0.999993i	$0.498772\pi$
$744$	−10.6836	+	19.2180i	−0.391678	+	0.704565i
$745$	2.05878	+	7.68349i	0.0754280	+	0.281501i
$746$		−	5.42007i		−	0.198443i
$747$	4.91071	+	7.90187i	0.179674	+	0.289114i
$748$	13.8392	−	9.43284i	0.506010	−	0.344899i
$749$	16.0517	−	27.8024i	0.586518	−	1.01588i
$750$	−0.417426	−	25.7235i	−0.0152423	−	0.939290i
$751$	9.66597	+	2.58999i	0.352716	+	0.0945100i	0.430827	−	0.902435i	$-0.358222\pi$
$751$	9.66597	+	2.58999i	0.352716	+	0.0945100i	−0.0781104	+	0.996945i	$0.524889\pi$
$752$	5.96245	+	10.3273i	0.217428	+	0.376596i
$753$	2.71192	+	0.679694i	0.0988278	+	0.0247694i
$754$	35.5206	−	9.51771i	1.29358	−	0.346615i
$755$	−9.72344	−	9.72344i	−0.353872	−	0.353872i
$756$	1.58664	+	32.5689i	0.0577057	+	1.18452i
$757$		−	47.3885i		−	1.72236i	−0.508298	−	0.861182i	$-0.669725\pi$
$757$		−	47.3885i		−	1.72236i	0.508298	−	0.861182i	$-0.330275\pi$
$758$	−28.5031	+	7.63739i	−1.03528	+	0.277403i
$759$	2.04492	−	8.15906i	0.0742259	−	0.296155i
$760$	0.858327	+	0.229988i	0.0311348	+	0.00834255i
$761$	9.66440	+	16.7392i	0.350334	+	0.606796i	0.986308	−	0.164914i	$-0.0527347\pi$
$761$	9.66440	+	16.7392i	0.350334	+	0.606796i	−0.635974	+	0.771711i	$0.719401\pi$
$762$	32.4141	−	33.4834i	1.17424	−	1.21298i
$763$	−22.6185	−	13.0588i	−0.818845	−	0.472760i
$764$	−22.2454			−0.804812
$765$	−7.03900	+	5.14006i	−0.254496	+	0.185839i
$766$	30.0590			1.08607
$767$	−8.90863	−	5.14340i	−0.321672	−	0.185717i
$768$	3.13655	+	10.9893i	0.113180	+	0.396543i
$769$	−8.81471	−	15.2675i	−0.317867	−	0.550561i	0.662176	−	0.749348i	$-0.269633\pi$
$769$	−8.81471	−	15.2675i	−0.317867	−	0.550561i	−0.980043	+	0.198787i	$0.936300\pi$
$770$	4.51389	+	1.20949i	0.162669	+	0.0435871i
$771$	21.0502	−	6.00809i	0.758103	−	0.216376i
$772$	−45.9267	+	12.3060i	−1.65294	+	0.442903i
$773$			15.0415i			0.541006i	0.962719	+	0.270503i	$0.0871901\pi$
$773$			15.0415i			0.541006i	−0.962719	+	0.270503i	$0.912810\pi$
$774$	−1.07431	−	33.0929i	−0.0386152	−	1.18950i
$775$	19.8140	+	19.8140i	0.711740	+	0.711740i
$776$	−34.3682	+	9.20892i	−1.23375	+	0.330581i
$777$	−10.3330	+	10.6739i	−0.370694	+	0.382923i
$778$	−35.3508	−	61.2295i	−1.26739	−	2.19518i
$779$	1.32284	+	0.354454i	0.0473956	+	0.0126996i
$780$	4.82674	−	2.89214i	0.172825	−	0.103555i
$781$	−5.38682	+	9.33025i	−0.192756	+	0.333863i
$782$	17.9804	+	26.3795i	0.642976	+	0.943328i
$783$	−24.9478	+	48.5204i	−0.891562	+	1.73398i
$784$			3.12909i			0.111753i
$785$	−1.52963	−	5.70864i	−0.0545947	−	0.203750i
$786$	−4.79027	−	7.99456i	−0.170863	−	0.285157i
$787$	42.4374	+	11.3711i	1.51273	+	0.405335i	0.917341	−	0.398103i	$-0.130331\pi$
$787$	42.4374	+	11.3711i	1.51273	+	0.405335i	0.595389	+	0.803438i	$0.296998\pi$
$788$	−11.0984	+	41.4199i	−0.395365	+	1.47552i
$789$	2.20006	+	2.12980i	0.0783243	+	0.0758229i
$790$	−10.4162	−	6.01378i	−0.370591	−	0.213961i
$791$		−	10.0807i		−	0.358429i
$792$	1.93584	−	8.29215i	0.0687872	−	0.294649i
$793$	−3.30306	−	3.30306i	−0.117295	−	0.117295i
$794$	14.9723	+	55.8774i	0.531348	+	1.98302i
$795$	−7.60968	+	13.6886i	−0.269888	+	0.485484i
$796$	−41.7427	−	11.1849i	−1.47953	−	0.396439i
$797$	4.95844	−	2.86276i	0.175637	−	0.101404i	−0.409604	−	0.912263i	$-0.634333\pi$
$797$	4.95844	−	2.86276i	0.175637	−	0.101404i	0.585241	+	0.810859i	$0.301000\pi$
$798$	−2.47971	+	4.46060i	−0.0877808	+	0.157903i
$799$	28.3538	+	24.4066i	1.00308	+	0.863444i
$800$	31.5045			1.11385
$801$	−21.2180	−	11.3487i	−0.749700	−	0.400986i
$802$	−31.6833	+	31.6833i	−1.11878	+	1.11878i
$803$	4.05601	−	7.02522i	0.143134	−	0.247915i
$804$	39.9665	−	41.2850i	1.40951	−	1.45601i
$805$	−1.36825	+	5.10640i	−0.0482246	+	0.179977i
$806$	−5.64017	+	21.0494i	−0.198666	+	0.741433i
$807$	1.52848	−	0.915850i	0.0538049	−	0.0322394i
$808$	−5.19983	−	3.00212i	−0.182929	−	0.105614i
$809$	−39.6932	−	39.6932i	−1.39554	−	1.39554i	−0.812307	−	0.583230i	$-0.801789\pi$
$809$	−39.6932	−	39.6932i	−1.39554	−	1.39554i	−0.583230	−	0.812307i	$-0.698211\pi$
$810$	−2.75177	+	13.7947i	−0.0966874	+	0.484698i
$811$	−18.0945	+	18.0945i	−0.635385	+	0.635385i	−0.949414	−	0.314028i	$-0.898321\pi$
$811$	−18.0945	+	18.0945i	−0.635385	+	0.635385i	0.314028	+	0.949414i	$0.398321\pi$
$812$	−32.9447	+	57.0619i	−1.15613	+	2.00248i
$813$	25.5951	+	6.41495i	0.897659	+	0.224982i
$814$	10.6649	−	6.15736i	0.373803	−	0.215815i
$815$	−1.31296	−	2.27412i	−0.0459910	−	0.0796588i
$816$	−5.41122	−	7.66858i	−0.189431	−	0.268454i
$817$	1.53778	−	2.66351i	0.0538000	−	0.0931843i
$818$			41.1900i			1.44017i
$819$	2.95266	+	9.74320i	0.103174	+	0.340455i
$820$	4.55863			0.159194
$821$	0.814986	+	3.04157i	0.0284432	+	0.106152i	0.978688	−	0.205352i	$-0.0658340\pi$
$821$	0.814986	+	3.04157i	0.0284432	+	0.106152i	−0.950245	+	0.311504i	$0.899167\pi$
$822$	−56.6462	+	16.1678i	−1.97576	+	0.563917i
$823$	−4.35042	+	16.2360i	−0.151646	+	0.565951i	0.847723	+	0.530439i	$0.177973\pi$
$823$	−4.35042	+	16.2360i	−0.151646	+	0.565951i	−0.999369	+	0.0355119i	$0.988694\pi$
$824$	32.3218	−	18.6610i	1.12598	−	0.650086i
$825$	−9.48456	−	5.27260i	−0.330210	−	0.183568i
$826$	29.9983	−	8.03801i	1.04377	−	0.279678i
$827$	30.6963	+	30.6963i	1.06742	+	1.06742i	0.997557	+	0.0698597i	$0.0222552\pi$
$827$	30.6963	+	30.6963i	1.06742	+	1.06742i	0.0698597	+	0.997557i	$0.477745\pi$
$828$	29.7769	+	6.95157i	1.03482	+	0.241584i
$829$	19.8916			0.690865			0.345432	−	0.938444i	$-0.387732\pi$
$829$	19.8916			0.690865			0.345432	+	0.938444i	$0.387732\pi$
$830$	1.25448	+	4.68179i	0.0435437	+	0.162507i
$831$	−0.366114	−	22.5614i	−0.0127004	−	0.782647i
$832$	10.1752	+	17.6240i	0.352763	+	0.611003i
$833$	3.24110	+	9.26628i	0.112297	+	0.321057i
$834$	−26.4446	−	44.1338i	−0.915701	−	1.52823i
$835$	12.1171	+	6.99579i	0.419329	+	0.242099i
$836$	1.77535	−	1.77535i	0.0614017	−	0.0614017i
$837$	−17.5089	−	27.1798i	−0.605194	−	0.939472i
$838$	−23.4523	+	23.4523i	−0.810145	+	0.810145i
$839$	−9.69406	+	2.59751i	−0.334676	+	0.0896762i	−0.422244	−	0.906482i	$-0.638757\pi$
$839$	−9.69406	+	2.59751i	−0.334676	+	0.0896762i	0.0875675	+	0.996159i	$0.472091\pi$
$840$	−1.30107	+	5.19114i	−0.0448911	+	0.179111i
$841$	−70.3604	+	40.6226i	−2.42622	+	1.40078i
$842$	−11.4958	+	6.63712i	−0.396172	+	0.228730i
$843$	19.2006	+	18.5874i	0.661305	+	0.640185i
$844$	−27.8720	+	7.46827i	−0.959392	+	0.257068i
$845$	−5.23508	+	5.23508i	−0.180092	+	0.180092i
$846$	60.3459	−	1.95903i	2.07474	−	0.0673530i
$847$	−13.7756	+	13.7756i	−0.473337	+	0.473337i
$848$	−14.6053	−	8.43237i	−0.501548	−	0.289569i
$849$	25.1017	−	45.1539i	0.861488	−	1.54968i
$850$	38.8763	−	13.5979i	1.33345	−	0.466405i
$851$	6.96560	+	12.0648i	0.238778	+	0.413575i
$852$	−34.2310	−	19.0295i	−1.17274	−	0.651941i
$853$	0.784730	+	2.92865i	0.0268686	+	0.100275i	0.978058	−	0.208333i	$-0.0668036\pi$
$853$	0.784730	+	2.92865i	0.0268686	+	0.100275i	−0.951189	+	0.308608i	$0.900137\pi$
$854$	14.1028			0.482586
$855$	−0.893449	+	0.953404i	−0.0305553	+	0.0326057i
$856$	−21.5498	−	21.5498i	−0.736558	−	0.736558i
$857$	−29.1698	+	7.81602i	−0.996421	+	0.266990i	−0.719945	−	0.694031i	$-0.755833\pi$
$857$	−29.1698	+	7.81602i	−0.996421	+	0.266990i	−0.276476	+	0.961021i	$0.589167\pi$
$858$	−0.136929	−	8.43810i	−0.00467467	−	0.288072i
$859$	11.4293	−	6.59870i	0.389962	−	0.225145i	−0.292182	−	0.956363i	$-0.594381\pi$
$859$	11.4293	−	6.59870i	0.389962	−	0.225145i	0.682144	+	0.731218i	$0.261048\pi$
$860$	2.64966	−	9.88868i	0.0903527	−	0.337201i
$861$	−2.00518	+	8.00050i	−0.0683364	+	0.272656i
$862$	−6.93648	−	25.8873i	−0.236257	−	0.881724i
$863$	45.9827			1.56527			0.782635	−	0.622481i	$-0.213875\pi$
$863$	45.9827			1.56527			0.782635	+	0.622481i	$0.213875\pi$
$864$	−35.5277	−	7.68847i	−1.20868	−	0.261567i
$865$			4.98681i			0.169557i
$866$	21.5446	−	37.3164i	0.732116	−	1.26806i
$867$	−23.9675	−	17.1043i	−0.813980	−	0.580893i
$868$	−19.5230	−	33.8147i	−0.662652	−	1.14775i
$869$	−9.27147	+	5.35289i	−0.314513	+	0.181584i
$870$	−19.7700	+	20.4222i	−0.670266	+	0.692378i
$871$	8.97027	−	15.5370i	0.303946	−	0.526450i
$872$	−17.5317	+	17.5317i	−0.593699	+	0.593699i
$873$	11.8940	−	50.9478i	0.402552	−	1.72432i
$874$	3.38407	+	3.38407i	0.114468	+	0.114468i
$875$	12.4641	+	7.19614i	0.421363	+	0.243274i
$876$	25.7743	+	14.3283i	0.870832	+	0.484108i
$877$	11.8631	−	44.2738i	0.400589	−	1.49502i	−0.411459	−	0.911428i	$-0.634981\pi$
$877$	11.8631	−	44.2738i	0.400589	−	1.49502i	0.812048	−	0.583591i	$-0.198353\pi$
$878$	−7.62582	+	28.4600i	−0.257359	+	0.960477i
$879$	−3.14078	−	11.0042i	−0.105936	−	0.371161i
$880$	−0.644166	+	1.11573i	−0.0217148	+	0.0376112i
$881$	−9.31930	+	9.31930i	−0.313975	+	0.313975i	−0.846447	−	0.532472i	$-0.821263\pi$
$881$	−9.31930	+	9.31930i	−0.313975	+	0.313975i	0.532472	+	0.846447i	$0.321263\pi$
$882$	13.9703	+	7.47219i	0.470405	+	0.251602i
$883$	49.1580			1.65430			0.827149	−	0.561982i	$-0.189961\pi$
$883$	49.1580			1.65430			0.827149	+	0.561982i	$0.189961\pi$
$884$	14.4069	+	12.4013i	0.484556	+	0.417100i
$885$	7.95008	−	0.129009i	0.267239	−	0.00433660i
$886$	29.2450	−	16.8846i	0.982504	−	0.567249i
$887$	−12.5368	−	3.35923i	−0.420945	−	0.112792i	0.0421273	−	0.999112i	$-0.486586\pi$
$887$	−12.5368	−	3.35923i	−0.420945	−	0.112792i	−0.463073	+	0.886320i	$0.653253\pi$
$888$	7.24871	+	12.0975i	0.243251	+	0.405965i
$889$	6.74761	+	25.1824i	0.226308	+	0.844591i
$890$	−8.86432	−	8.86432i	−0.297133	−	0.297133i
$891$	9.40903	+	8.26058i	0.315214	+	0.276740i
$892$			6.48204i			0.217035i
$893$	4.85698	+	2.80418i	0.162533	+	0.0938383i
$894$	−10.5436	+	42.0681i	−0.352631	+	1.40697i
$895$	0.382845	−	1.42880i	0.0127971	−	0.0477594i
$896$	−30.3005	−	8.11899i	−1.01227	−	0.271236i
$897$	9.54571	−	0.154902i	0.318722	−	0.00517204i
$898$	−2.26512	−	8.45354i	−0.0755880	−	0.282098i
$899$		−	65.3310i		−	2.17891i
$900$	18.6053	−	34.7852i	0.620175	−	1.15951i
$901$	−51.9854	−	9.84296i	−1.73189	−	0.327917i
$902$	3.41852	−	5.92104i	0.113824	−	0.197149i
$903$	16.1894	+	8.99990i	0.538748	+	0.299498i
$904$	−9.24361	−	2.47682i	−0.307438	−	0.0823777i
$905$	4.26118	+	7.38058i	0.141646	+	0.245339i
$906$	−20.5768	−	72.0935i	−0.683617	−	2.39515i
$907$	−29.6314	+	7.93970i	−0.983893	+	0.263633i	−0.714683	−	0.699448i	$-0.753429\pi$
$907$	−29.6314	+	7.93970i	−0.983893	+	0.263633i	−0.269210	+	0.963082i	$0.586763\pi$
$908$	−46.0037	−	46.0037i	−1.52669	−	1.52669i
$909$	7.49860	−	4.66009i	0.248713	−	0.154565i
$910$			5.30400i			0.175826i
$911$	42.2630	−	11.3243i	1.40024	−	0.375192i	0.521807	−	0.853064i	$-0.325258\pi$
$911$	42.2630	−	11.3243i	1.40024	−	0.375192i	0.878430	+	0.477871i	$0.158592\pi$
$912$	−1.01090	−	0.978618i	−0.0334743	−	0.0324053i
$913$	4.16728	+	1.11662i	0.137917	+	0.0369547i
$914$	−4.59741	−	7.96295i	−0.152069	−	0.263391i
$915$	3.50228	+	0.877784i	0.115782	+	0.0290186i
$916$	35.2291	+	20.3395i	1.16400	+	0.672037i
$917$	5.21377			0.172174
$918$	−47.1595	+	5.84689i	−1.55650	+	0.192976i
$919$	−30.3033			−0.999615			−0.499807	−	0.866137i	$-0.666596\pi$
$919$	−30.3033			−0.999615			−0.499807	+	0.866137i	$0.666596\pi$
$920$	4.34618	+	2.50927i	0.143289	+	0.0827281i
$921$	26.7560	+	6.70590i	0.881639	+	0.220967i
$922$	−40.0482	−	69.3655i	−1.31892	−	2.28443i
$923$	−11.8114	−	3.16487i	−0.388778	−	0.104173i
$924$	10.8643	+	10.5173i	0.357408	+	0.345994i
$925$	17.3603	−	4.65167i	0.570802	−	0.152946i
$926$			66.1277i			2.17309i
$927$	1.78060	+	54.8495i	0.0584826	+	1.80149i
$928$	−51.9384	−	51.9384i	−1.70496	−	1.70496i
$929$	53.2014	−	14.2553i	1.74548	−	0.467701i	0.761830	−	0.647777i	$-0.224301\pi$
$929$	53.2014	−	14.2553i	1.74548	−	0.467701i	0.983653	+	0.180077i	$0.0576347\pi$
$930$	−4.62295	−	16.1971i	−0.151592	−	0.531125i
$931$	0.735816	+	1.27447i	0.0241154	+	0.0417691i
$932$	40.7283	+	10.9131i	1.33410	+	0.357471i
$933$	−21.7629	−	12.0983i	−0.712485	−	0.396081i
$934$	10.9743	−	19.0081i	0.359091	−	0.621965i
$935$	−0.751924	+	3.97127i	−0.0245906	+	0.129875i
$936$	9.65958	−	0.313583i	0.315733	−	0.0102498i
$937$			12.4490i			0.406692i	0.979107	+	0.203346i	$0.0651816\pi$
$937$			12.4490i			0.406692i	−0.979107	+	0.203346i	$0.934818\pi$
$938$	14.0186	+	52.3180i	0.457723	+	1.70824i
$939$	5.12146	−	0.0831081i	0.167133	−	0.00271213i
$940$	18.0323	+	4.83174i	0.588149	+	0.157594i
$941$	−8.28713	+	30.9280i	−0.270153	+	1.00822i	0.688868	+	0.724887i	$0.258108\pi$
$941$	−8.28713	+	30.9280i	−0.270153	+	1.00822i	−0.959021	+	0.283337i	$0.908559\pi$
$942$	7.83364	−	31.2555i	0.255234	−	1.01836i
$943$	6.69826	+	3.86724i	0.218125	+	0.125935i
$944$			8.56196i			0.278668i
$945$	−5.82851	−	5.28700i	−0.189601	−	0.171986i
$946$	−10.8571	−	10.8571i	−0.352994	−	0.352994i
$947$	9.96356	+	37.1845i	0.323772	+	1.20833i	0.915540	+	0.402226i	$0.131763\pi$
$947$	9.96356	+	37.1845i	0.323772	+	1.20833i	−0.591768	+	0.806108i	$0.701570\pi$
$948$	−20.0034	−	33.3839i	−0.649679	−	1.08426i
$949$	8.89343	+	2.38299i	0.288693	+	0.0773551i
$950$	5.34699	−	3.08709i	0.173479	−	0.100158i
$951$	1.20013	−	0.0194750i	0.0389169	−	0.000631521i
$952$	−18.0291	+	1.34881i	−0.584328	+	0.0437152i
$953$	53.4947			1.73286			0.866432	−	0.499295i	$-0.166408\pi$
$953$	53.4947			1.73286			0.866432	+	0.499295i	$0.166408\pi$
$954$	−72.5248	+	45.0714i	−2.34808	+	1.45924i
$955$	3.79609	−	3.79609i	0.122839	−	0.122839i
$956$	−6.17475	+	10.6950i	−0.199706	+	0.345900i
$957$	6.94385	+	24.3287i	0.224463	+	0.786436i
$958$	−17.4514	+	65.1297i	−0.563831	+	2.10424i
$959$	8.52933	−	31.8319i	0.275426	−	1.02791i
$960$	−13.7482	−	7.64282i	−0.443721	−	0.246671i
$961$	6.68133	+	3.85747i	0.215527	+	0.124434i
$962$	9.88340	+	9.88340i	0.318654	+	0.318654i
$963$	42.8861	−	12.9966i	1.38198	−	0.418808i
$964$	−49.4566	+	49.4566i	−1.59289	+	1.59289i
$965$	5.73723	−	9.93717i	0.184688	−	0.319889i
$966$	−20.0475	+	20.7089i	−0.645018	+	0.666297i
$967$	−29.4865	+	17.0240i	−0.948222	+	0.547456i	−0.892528	−	0.450992i	$-0.851070\pi$
$967$	−29.4865	+	17.0240i	−0.948222	+	0.547456i	−0.0556936	+	0.998448i	$0.517737\pi$
$968$	9.24705	+	16.0164i	0.297212	+	0.514786i
$969$	−4.00727	−	1.85093i	−0.128732	−	0.0594603i
$970$	13.6283	−	23.6049i	0.437579	−	0.757909i
$971$		−	14.0117i		−	0.449657i	−0.974398	−	0.224829i	$-0.927818\pi$
$971$		−	14.0117i		−	0.449657i	0.974398	−	0.224829i	$-0.0721823\pi$
$972$	−29.4703	+	34.6869i	−0.945261	+	1.11258i
$973$	28.7825			0.922723
$974$	2.97522	+	11.1037i	0.0953323	+	0.355785i
$975$	2.99431	−	11.9471i	0.0958948	−	0.382612i
$976$	−1.00629	+	3.75551i	−0.0322104	+	0.120211i
$977$	20.5878	−	11.8863i	0.658661	−	0.380278i	−0.133106	−	0.991102i	$-0.542495\pi$
$977$	20.5878	−	11.8863i	0.658661	−	0.380278i	0.791766	+	0.610824i	$0.209162\pi$
$978$	−0.232296	−	14.3150i	−0.00742800	−	0.457744i
$979$	−10.7782	+	2.88800i	−0.344472	+	0.0923009i
$980$	3.46382	+	3.46382i	0.110648	+	0.110648i
$981$	−10.5733	−	34.8897i	−0.337579	−	1.11394i
$982$	−62.5246			−1.99524
$983$	4.48386	+	16.7340i	0.143013	+	0.533731i	0.999836	+	0.0181206i	$0.00576829\pi$
$983$	4.48386	+	16.7340i	0.143013	+	0.533731i	−0.856823	+	0.515611i	$0.827565\pi$
$984$	6.84347	+	3.80438i	0.218162	+	0.121279i
$985$	−5.17423	−	8.96203i	−0.164865	−	0.285554i
$986$	−86.5093	−	41.6741i	−2.75502	−	1.32717i
$987$	−16.4116	+	29.5218i	−0.522386	+	0.939688i
$988$	2.46789	+	1.42484i	0.0785140	+	0.0453301i
$989$	12.2822	−	12.2822i	0.390551	−	0.390551i
$990$	3.44310	+	5.54032i	0.109429	+	0.176083i
$991$	26.5739	−	26.5739i	0.844148	−	0.844148i	−0.145247	−	0.989395i	$-0.546398\pi$
$991$	26.5739	−	26.5739i	0.844148	−	0.844148i	0.989395	+	0.145247i	$0.0463977\pi$
$992$	42.0443	−	11.2657i	1.33491	−	0.357687i
$993$	42.8388	+	41.4707i	1.35945	+	1.31603i
$994$	31.9714	−	18.4587i	1.01407	−	0.585475i
$995$	9.03188	−	5.21456i	0.286330	−	0.165313i
$996$	−3.81285	+	15.2130i	−0.120815	+	0.482041i
$997$	−5.95007	+	1.59432i	−0.188441	+	0.0504925i	−0.351805	−	0.936073i	$-0.614432\pi$
$997$	−5.95007	+	1.59432i	−0.188441	+	0.0504925i	0.163364	+	0.986566i	$0.447765\pi$
$998$	−43.7262	+	43.7262i	−1.38413	+	1.38413i
$999$	−20.7125	+	1.00904i	−0.655314	+	0.0319246i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	153.2.n.a.106.2	yes	64
3.2	odd	2		459.2.o.a.208.15		64
9.4	even	3	inner	153.2.n.a.4.15	✓	64
9.5	odd	6		459.2.o.a.361.2		64
17.13	even	4	inner	153.2.n.a.115.15	yes	64
51.47	odd	4		459.2.o.a.370.2		64
153.13	even	12	inner	153.2.n.a.13.2	yes	64
153.149	odd	12		459.2.o.a.64.15		64

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
153.2.n.a.4.15	✓	64	9.4	even	3	inner
153.2.n.a.13.2	yes	64	153.13	even	12	inner
153.2.n.a.106.2	yes	64	1.1	even	1	trivial
153.2.n.a.115.15	yes	64	17.13	even	4	inner
459.2.o.a.64.15		64	153.149	odd	12
459.2.o.a.208.15		64	3.2	odd	2
459.2.o.a.361.2		64	9.5	odd	6
459.2.o.a.370.2		64	51.47	odd	4

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:	\( N \)	\(=\)	\( 153 = 3^{2} \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	153.n (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.92090 - 1.10903i) q^{2} +(1.68009 + 0.421083i) q^{3} +(1.45992 + 2.52865i) q^{4} +(-0.680632 - 0.182375i) q^{5} +(-2.76029 - 2.67213i) q^{6} +(2.07597 - 0.556256i) q^{7} -2.04026i q^{8} +(2.64538 + 1.41491i) q^{9} +O(q^{10})\)	\(q+(-1.92090 - 1.10903i) q^{2} +(1.68009 + 0.421083i) q^{3} +(1.45992 + 2.52865i) q^{4} +(-0.680632 - 0.182375i) q^{5} +(-2.76029 - 2.67213i) q^{6} +(2.07597 - 0.556256i) q^{7} -2.04026i q^{8} +(2.64538 + 1.41491i) q^{9} +(1.10517 + 1.10517i) q^{10} +(1.34378 - 0.360065i) q^{11} +(1.38801 + 4.86310i) q^{12} +(0.789498 + 1.36745i) q^{13} +(-4.60466 - 1.23381i) q^{14} +(-1.06673 - 0.593008i) q^{15} +(0.657119 - 1.13816i) q^{16} +(0.767044 - 4.05113i) q^{17} +(-3.51233 - 5.65173i) q^{18} -0.618096i q^{19} +(-0.532504 - 1.98733i) q^{20} +(3.72204 - 0.0603992i) q^{21} +(-2.98060 - 0.798650i) q^{22} +(0.903483 - 3.37184i) q^{23} +(0.859117 - 3.42780i) q^{24} +(-3.90013 - 2.25174i) q^{25} -3.50233i q^{26} +(3.84867 + 3.49110i) q^{27} +(4.43733 + 4.43733i) q^{28} +(2.71754 + 10.1420i) q^{29} +(1.39141 + 2.32215i) q^{30} +(-6.01012 - 1.61041i) q^{31} +(-6.05835 + 3.49779i) q^{32} +(2.40929 - 0.0390965i) q^{33} +(-5.96626 + 6.93115i) q^{34} -1.51442 q^{35} +(0.284214 + 8.75489i) q^{36} +(-2.82195 + 2.82195i) q^{37} +(-0.685490 + 1.18730i) q^{38} +(0.750614 + 2.62988i) q^{39} +(-0.372091 + 1.38866i) q^{40} +(-0.573461 + 2.14019i) q^{41} +(-7.21668 - 4.01186i) q^{42} +(4.30921 + 2.48793i) q^{43} +(2.87229 + 2.87229i) q^{44} +(-1.54249 - 1.44549i) q^{45} +(-5.47500 + 5.47500i) q^{46} +(-4.53681 + 7.85798i) q^{47} +(1.58328 - 1.63551i) q^{48} +(-2.06193 + 1.19046i) q^{49} +(4.99452 + 8.65075i) q^{50} +(2.99456 - 6.48325i) q^{51} +(-2.30520 + 3.99273i) q^{52} -12.8323i q^{53} +(-3.52117 - 10.9744i) q^{54} -0.980288 q^{55} +(-1.13490 - 4.23552i) q^{56} +(0.260270 - 1.03845i) q^{57} +(6.02769 - 22.4957i) q^{58} +(-5.64195 + 3.25738i) q^{59} +(-0.0578203 - 3.56312i) q^{60} +(-2.85755 + 0.765679i) q^{61} +(9.75887 + 9.75887i) q^{62} +(6.27879 + 1.46581i) q^{63} +12.8882 q^{64} +(-0.287969 - 1.07472i) q^{65} +(-4.67137 - 2.59688i) q^{66} +(-5.68099 - 9.83977i) q^{67} +(11.3637 - 3.97472i) q^{68} +(2.93776 - 5.28455i) q^{69} +(2.90906 + 1.67955i) q^{70} +(-5.47599 + 5.47599i) q^{71} +(2.88678 - 5.39725i) q^{72} +(4.12315 - 4.12315i) q^{73} +(8.55035 - 2.29106i) q^{74} +(-5.60438 - 5.42539i) q^{75} +(1.56295 - 0.902368i) q^{76} +(2.58937 - 1.49497i) q^{77} +(1.47477 - 5.88421i) q^{78} +(-7.43322 + 1.99173i) q^{79} +(-0.654829 + 0.654829i) q^{80} +(4.99605 + 7.48595i) q^{81} +(3.47510 - 3.47510i) q^{82} +(2.68568 + 1.55058i) q^{83} +(5.58660 + 9.32357i) q^{84} +(-1.26090 + 2.61744i) q^{85} +(-5.51839 - 9.55814i) q^{86} +(0.295075 + 18.1837i) q^{87} +(-0.734625 - 2.74166i) q^{88} -8.02077 q^{89} +(1.35987 + 4.48731i) q^{90} +(2.39963 + 2.39963i) q^{91} +(9.84522 - 2.63802i) q^{92} +(-9.41940 - 5.23638i) q^{93} +(17.4295 - 10.0630i) q^{94} +(-0.112725 + 0.420696i) q^{95} +(-11.6514 + 3.32552i) q^{96} +(-4.51361 - 16.8450i) q^{97} +5.28103 q^{98} +(4.06427 + 0.948824i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 64 q - 6 q^{3} + 24 q^{4} - 2 q^{5} - 10 q^{6} - 2 q^{7}+O(q^{10}) \) 64 * q - 6 * q^3 + 24 * q^4 - 2 * q^5 - 10 * q^6 - 2 * q^7	\( 64 q - 6 q^{3} + 24 q^{4} - 2 q^{5} - 10 q^{6} - 2 q^{7} - 16 q^{10} - 24 q^{12} - 4 q^{13} - 16 q^{16} - 8 q^{17} - 8 q^{18} + 18 q^{20} - 16 q^{21} - 4 q^{22} - 8 q^{23} - 2 q^{24} - 10 q^{29} - 36 q^{30} - 2 q^{31} + 12 q^{33} + 20 q^{34} - 128 q^{35} - 8 q^{37} - 24 q^{38} + 34 q^{39} - 20 q^{40} + 32 q^{41} + 20 q^{44} + 20 q^{45} - 40 q^{46} - 64 q^{47} + 62 q^{48} + 48 q^{50} + 40 q^{51} + 36 q^{52} - 46 q^{54} - 16 q^{55} + 12 q^{56} + 72 q^{57} - 10 q^{58} - 2 q^{61} - 28 q^{62} + 64 q^{63} - 8 q^{64} + 8 q^{65} - 4 q^{67} - 60 q^{68} - 24 q^{69} - 84 q^{71} + 72 q^{72} - 44 q^{73} - 14 q^{74} + 46 q^{75} - 56 q^{78} + 10 q^{79} + 204 q^{80} + 44 q^{81} - 52 q^{82} - 60 q^{84} + 22 q^{85} + 32 q^{86} + 16 q^{88} + 128 q^{89} - 66 q^{90} + 44 q^{91} + 136 q^{92} + 4 q^{95} - 2 q^{96} - 44 q^{97} + 208 q^{98} + 6 q^{99}+O(q^{100}) \) 64 * q - 6 * q^3 + 24 * q^4 - 2 * q^5 - 10 * q^6 - 2 * q^7 - 16 * q^10 - 24 * q^12 - 4 * q^13 - 16 * q^16 - 8 * q^17 - 8 * q^18 + 18 * q^20 - 16 * q^21 - 4 * q^22 - 8 * q^23 - 2 * q^24 - 10 * q^29 - 36 * q^30 - 2 * q^31 + 12 * q^33 + 20 * q^34 - 128 * q^35 - 8 * q^37 - 24 * q^38 + 34 * q^39 - 20 * q^40 + 32 * q^41 + 20 * q^44 + 20 * q^45 - 40 * q^46 - 64 * q^47 + 62 * q^48 + 48 * q^50 + 40 * q^51 + 36 * q^52 - 46 * q^54 - 16 * q^55 + 12 * q^56 + 72 * q^57 - 10 * q^58 - 2 * q^61 - 28 * q^62 + 64 * q^63 - 8 * q^64 + 8 * q^65 - 4 * q^67 - 60 * q^68 - 24 * q^69 - 84 * q^71 + 72 * q^72 - 44 * q^73 - 14 * q^74 + 46 * q^75 - 56 * q^78 + 10 * q^79 + 204 * q^80 + 44 * q^81 - 52 * q^82 - 60 * q^84 + 22 * q^85 + 32 * q^86 + 16 * q^88 + 128 * q^89 - 66 * q^90 + 44 * q^91 + 136 * q^92 + 4 * q^95 - 2 * q^96 - 44 * q^97 + 208 * q^98 + 6 * q^99

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