LMFDB - Embedded newform 160.2.u.a.43.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [160,2,Mod(43,160)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(160, base_ring=CyclotomicField(8))

chi = DirichletCharacter(H, H._module([4, 5, 6]))

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

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

chi := DirichletCharacter("160.43");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 160 = 2^{5} \cdot 5 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	160.u (of order $8$, 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:	$1.27760643234$
Analytic rank:	$0$
Dimension:	$88$
Relative dimension:	$22$ over $\Q(\zeta_{8})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label			43.5
Character	$\chi$	$=$	160.43
Dual form			160.2.u.a.67.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.19101 + 0.762560i) q^{2} +(-1.11089 + 2.68192i) q^{3} +(0.837005 - 1.81643i) q^{4} +(-1.09565 + 1.94924i) q^{5} +(-0.722048 - 4.04131i) q^{6} +0.874514i q^{7} +(0.388258 + 2.80165i) q^{8} +(-3.83732 - 3.83732i) q^{9} +O(q^{10})$	\(q+(-1.19101 + 0.762560i) q^{2} +(-1.11089 + 2.68192i) q^{3} +(0.837005 - 1.81643i) q^{4} +(-1.09565 + 1.94924i) q^{5} +(-0.722048 - 4.04131i) q^{6} +0.874514i q^{7} +(0.388258 + 2.80165i) q^{8} +(-3.83732 - 3.83732i) q^{9} +(-0.181489 - 3.15707i) q^{10} +(-0.148447 + 0.358383i) q^{11} +(3.94171 + 4.26264i) q^{12} +(1.15986 - 2.80016i) q^{13} +(-0.666869 - 1.04155i) q^{14} +(-4.01058 - 5.10384i) q^{15} +(-2.59885 - 3.04072i) q^{16} +(-4.40583 - 4.40583i) q^{17} +(7.49647 + 1.64410i) q^{18} +(1.55754 + 3.76024i) q^{19} +(2.62361 + 3.62170i) q^{20} +(-2.34538 - 0.971488i) q^{21} +(-0.0964866 - 0.540037i) q^{22} +7.62321i q^{23} +(-7.94513 - 2.07105i) q^{24} +(-2.59911 - 4.27137i) q^{25} +(0.753880 + 4.21948i) q^{26} +(6.50846 - 2.69589i) q^{27} +(1.58849 + 0.731972i) q^{28} +(2.98643 + 7.20988i) q^{29} +(8.66862 + 3.02041i) q^{30} -0.387529i q^{31} +(5.41398 + 1.63975i) q^{32} +(-0.796247 - 0.796247i) q^{33} +(8.60708 + 1.88767i) q^{34} +(-1.70464 - 0.958159i) q^{35} +(-10.1821 + 3.75837i) q^{36} +(2.12565 + 5.13178i) q^{37} +(-4.72246 - 3.29076i) q^{38} +(6.22133 + 6.22133i) q^{39} +(-5.88650 - 2.31282i) q^{40} +(-2.39433 + 2.39433i) q^{41} +(3.53419 - 0.631441i) q^{42} +(-9.86550 + 4.08643i) q^{43} +(0.526727 + 0.569612i) q^{44} +(11.6842 - 3.27552i) q^{45} +(-5.81315 - 9.07931i) q^{46} +(4.22332 - 4.22332i) q^{47} +(11.0420 - 3.59200i) q^{48} +6.23523 q^{49} +(6.35274 + 3.10526i) q^{50} +(16.7105 - 6.92170i) q^{51} +(-4.11548 - 4.45056i) q^{52} +(1.78531 + 4.31011i) q^{53} +(-5.69586 + 8.17393i) q^{54} +(-0.535930 - 0.682021i) q^{55} +(-2.45008 + 0.339537i) q^{56} -11.8149 q^{57} +(-9.05483 - 6.30970i) q^{58} +(3.16038 - 7.62983i) q^{59} +(-12.6277 + 3.01301i) q^{60} +(-6.62288 + 2.74329i) q^{61} +(0.295514 + 0.461550i) q^{62} +(3.35579 - 3.35579i) q^{63} +(-7.69851 + 2.17553i) q^{64} +(4.18739 + 5.32884i) q^{65} +(1.55552 + 0.341151i) q^{66} +(-1.99380 - 0.825859i) q^{67} +(-11.6906 + 4.31518i) q^{68} +(-20.4449 - 8.46854i) q^{69} +(2.76090 - 0.158715i) q^{70} +(-4.81570 + 4.81570i) q^{71} +(9.26097 - 12.2407i) q^{72} +10.4638 q^{73} +(-6.44497 - 4.49106i) q^{74} +(14.3428 - 2.22560i) q^{75} +(8.13390 + 0.318170i) q^{76} +(-0.313411 - 0.129819i) q^{77} +(-12.1538 - 2.66552i) q^{78} +7.08525i q^{79} +(8.77453 - 1.73422i) q^{80} +4.16967i q^{81} +(1.02585 - 4.67750i) q^{82} +(-6.62851 - 2.74562i) q^{83} +(-3.72773 + 3.44708i) q^{84} +(13.4153 - 3.76080i) q^{85} +(8.63376 - 12.3900i) q^{86} -22.6539 q^{87} +(-1.06170 - 0.276752i) q^{88} +(-1.02452 + 1.02452i) q^{89} +(-11.4182 + 12.8111i) q^{90} +(2.44878 + 1.01432i) q^{91} +(13.8470 + 6.38066i) q^{92} +(1.03932 + 0.430501i) q^{93} +(-1.80948 + 8.25055i) q^{94} +(-9.03616 - 1.08387i) q^{95} +(-10.4120 + 12.6983i) q^{96} +(5.32927 - 5.32927i) q^{97} +(-7.42621 + 4.75473i) q^{98} +(1.94487 - 0.805590i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 88 q - 4 q^{2} - 4 q^{3} - 4 q^{5} - 8 q^{6} - 16 q^{8}+O(q^{10}) $ 88 * q - 4 * q^2 - 4 * q^3 - 4 * q^5 - 8 * q^6 - 16 * q^8	$ 88 q - 4 q^{2} - 4 q^{3} - 4 q^{5} - 8 q^{6} - 16 q^{8} - 16 q^{10} - 8 q^{11} - 20 q^{12} - 4 q^{13} + 16 q^{14} - 8 q^{15} - 8 q^{16} + 4 q^{18} + 16 q^{19} + 24 q^{20} - 8 q^{21} - 20 q^{22} - 32 q^{24} - 4 q^{25} - 8 q^{26} - 16 q^{27} + 12 q^{28} + 8 q^{30} - 24 q^{32} - 8 q^{33} + 8 q^{34} - 8 q^{35} - 8 q^{36} - 4 q^{37} - 60 q^{38} + 16 q^{40} - 8 q^{41} + 60 q^{42} - 36 q^{43} + 16 q^{44} - 4 q^{45} - 8 q^{46} - 8 q^{47} - 24 q^{48} - 40 q^{49} - 12 q^{50} + 8 q^{51} - 56 q^{52} - 4 q^{53} - 56 q^{54} - 36 q^{55} + 40 q^{56} - 8 q^{57} - 36 q^{58} + 12 q^{60} - 40 q^{61} + 40 q^{62} + 56 q^{63} + 48 q^{64} - 8 q^{65} + 72 q^{66} + 20 q^{67} + 8 q^{68} + 24 q^{69} + 60 q^{70} + 24 q^{71} + 24 q^{72} - 8 q^{73} + 8 q^{75} + 56 q^{76} + 24 q^{77} + 32 q^{78} - 8 q^{80} + 84 q^{82} - 44 q^{83} + 56 q^{84} - 4 q^{85} + 24 q^{86} - 120 q^{87} + 104 q^{88} + 148 q^{90} - 8 q^{91} + 124 q^{92} + 8 q^{93} - 32 q^{94} + 24 q^{96} - 8 q^{97} - 16 q^{98}+O(q^{100}) $ 88 * q - 4 * q^2 - 4 * q^3 - 4 * q^5 - 8 * q^6 - 16 * q^8 - 16 * q^10 - 8 * q^11 - 20 * q^12 - 4 * q^13 + 16 * q^14 - 8 * q^15 - 8 * q^16 + 4 * q^18 + 16 * q^19 + 24 * q^20 - 8 * q^21 - 20 * q^22 - 32 * q^24 - 4 * q^25 - 8 * q^26 - 16 * q^27 + 12 * q^28 + 8 * q^30 - 24 * q^32 - 8 * q^33 + 8 * q^34 - 8 * q^35 - 8 * q^36 - 4 * q^37 - 60 * q^38 + 16 * q^40 - 8 * q^41 + 60 * q^42 - 36 * q^43 + 16 * q^44 - 4 * q^45 - 8 * q^46 - 8 * q^47 - 24 * q^48 - 40 * q^49 - 12 * q^50 + 8 * q^51 - 56 * q^52 - 4 * q^53 - 56 * q^54 - 36 * q^55 + 40 * q^56 - 8 * q^57 - 36 * q^58 + 12 * q^60 - 40 * q^61 + 40 * q^62 + 56 * q^63 + 48 * q^64 - 8 * q^65 + 72 * q^66 + 20 * q^67 + 8 * q^68 + 24 * q^69 + 60 * q^70 + 24 * q^71 + 24 * q^72 - 8 * q^73 + 8 * q^75 + 56 * q^76 + 24 * q^77 + 32 * q^78 - 8 * q^80 + 84 * q^82 - 44 * q^83 + 56 * q^84 - 4 * q^85 + 24 * q^86 - 120 * q^87 + 104 * q^88 + 148 * q^90 - 8 * q^91 + 124 * q^92 + 8 * q^93 - 32 * q^94 + 24 * q^96 - 8 * q^97 - 16 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/160\mathbb{Z}\right)^\times$.

$n$	$31$	$97$	$101$
$\chi(n)$	$-1$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{5}{8}\right)$

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 $

$2$	−1.19101	+	0.762560i	−0.842171	+	0.539211i
$2$	−1.19101	+	0.762560i	−0.842171	+	0.539211i
$3$	−1.11089	+	2.68192i	−0.641372	+	1.54841i	0.183457	+	0.983028i	$0.441271\pi$
$3$	−1.11089	+	2.68192i	−0.641372	+	1.54841i	−0.824829	+	0.565382i	$0.808729\pi$
$4$	0.837005	−	1.81643i	0.418502	−	0.908216i
$5$	−1.09565	+	1.94924i	−0.489989	+	0.871729i
$5$	−1.09565	+	1.94924i	−0.489989	+	0.871729i
$6$	−0.722048	−	4.04131i	−0.294775	−	1.64986i
$7$			0.874514i			0.330535i	0.986249	+	0.165268i	$0.0528488\pi$
$7$			0.874514i			0.330535i	−0.986249	+	0.165268i	$0.947151\pi$
$8$	0.388258	+	2.80165i	0.137270	+	0.990534i
$9$	−3.83732	−	3.83732i	−1.27911	−	1.27911i
$10$	−0.181489	−	3.15707i	−0.0573920	−	0.998352i
$11$	−0.148447	+	0.358383i	−0.0447584	+	0.108056i	−0.944678	−	0.328000i	$-0.893625\pi$
$11$	−0.148447	+	0.358383i	−0.0447584	+	0.108056i	0.899919	+	0.436057i	$0.143625\pi$
$12$	3.94171	+	4.26264i	1.13787	+	1.23052i
$13$	1.15986	−	2.80016i	0.321688	−	0.776624i	−0.677468	−	0.735552i	$-0.736923\pi$
$13$	1.15986	−	2.80016i	0.321688	−	0.776624i	0.999156	−	0.0410716i	$-0.0130772\pi$
$14$	−0.666869	−	1.04155i	−0.178228	−	0.278367i
$15$	−4.01058	−	5.10384i	−1.03553	−	1.31781i
$16$	−2.59885	−	3.04072i	−0.649711	−	0.760181i
$17$	−4.40583	−	4.40583i	−1.06857	−	1.06857i	−0.997469	−	0.0711007i	$-0.977349\pi$
$17$	−4.40583	−	4.40583i	−1.06857	−	1.06857i	−0.0711007	−	0.997469i	$-0.522651\pi$
$18$	7.49647	+	1.64410i	1.76693	+	0.387517i
$19$	1.55754	+	3.76024i	0.357325	+	0.862659i	0.995674	+	0.0929122i	$0.0296176\pi$
$19$	1.55754	+	3.76024i	0.357325	+	0.862659i	−0.638349	+	0.769747i	$0.720382\pi$
$20$	2.62361	+	3.62170i	0.586656	+	0.809836i
$21$	−2.34538	−	0.971488i	−0.511804	−	0.211996i
$22$	−0.0964866	−	0.540037i	−0.0205710	−	0.115136i
$23$			7.62321i			1.58955i	0.606905	+	0.794774i	$0.292411\pi$
$23$			7.62321i			1.58955i	−0.606905	+	0.794774i	$0.707589\pi$
$24$	−7.94513	−	2.07105i	−1.62179	−	0.422751i
$25$	−2.59911	−	4.27137i	−0.519822	−	0.854274i
$26$	0.753880	+	4.21948i	0.147848	+	0.827508i
$27$	6.50846	−	2.69589i	1.25255	−	0.518825i
$28$	1.58849	+	0.731972i	0.300197	+	0.138330i
$29$	2.98643	+	7.20988i	0.554566	+	1.33884i	0.914016	+	0.405677i	$0.132964\pi$
$29$	2.98643	+	7.20988i	0.554566	+	1.33884i	−0.359450	+	0.933164i	$0.617036\pi$
$30$	8.66862	+	3.02041i	1.58267	+	0.551449i
$31$		−	0.387529i		−	0.0696022i	−0.999394	−	0.0348011i	$-0.988920\pi$
$31$		−	0.387529i		−	0.0696022i	0.999394	−	0.0348011i	$-0.0110798\pi$
$32$	5.41398	+	1.63975i	0.957066	+	0.289870i
$33$	−0.796247	−	0.796247i	−0.138609	−	0.138609i
$34$	8.60708	+	1.88767i	1.47610	+	0.323733i
$35$	−1.70464	−	0.958159i	−0.288137	−	0.161958i
$36$	−10.1821	+	3.75837i	−1.69701	+	0.626395i
$37$	2.12565	+	5.13178i	0.349455	+	0.843660i	0.996684	+	0.0813644i	$0.0259278\pi$
$37$	2.12565	+	5.13178i	0.349455	+	0.843660i	−0.647229	+	0.762296i	$0.724072\pi$
$38$	−4.72246	−	3.29076i	−0.766084	−	0.533832i
$39$	6.22133	+	6.22133i	0.996210	+	0.996210i
$40$	−5.88650	−	2.31282i	−0.930737	−	0.365688i
$41$	−2.39433	+	2.39433i	−0.373932	+	0.373932i	−0.868907	−	0.494975i	$-0.835177\pi$
$41$	−2.39433	+	2.39433i	−0.373932	+	0.373932i	0.494975	+	0.868907i	$0.335177\pi$
$42$	3.53419	−	0.631441i	0.545337	−	0.0974335i
$43$	−9.86550	+	4.08643i	−1.50448	+	0.623174i	−0.974409	−	0.224782i	$-0.927833\pi$
$43$	−9.86550	+	4.08643i	−1.50448	+	0.623174i	−0.530066	+	0.847956i	$0.677833\pi$
$44$	0.526727	+	0.569612i	0.0794070	+	0.0858722i
$45$	11.6842	−	3.27552i	1.74178	−	0.488286i
$46$	−5.81315	−	9.07931i	−0.857103	−	1.33867i
$47$	4.22332	−	4.22332i	0.616035	−	0.616035i	−0.328477	−	0.944512i	$-0.606535\pi$
$47$	4.22332	−	4.22332i	0.616035	−	0.616035i	0.944512	+	0.328477i	$0.106535\pi$
$48$	11.0420	−	3.59200i	1.59378	−	0.518460i
$49$	6.23523			0.890747
$50$	6.35274	+	3.10526i	0.898413	+	0.439151i
$51$	16.7105	−	6.92170i	2.33993	−	0.969233i
$52$	−4.11548	−	4.45056i	−0.570715	−	0.617181i
$53$	1.78531	+	4.31011i	0.245231	+	0.592040i	0.997787	−	0.0664881i	$-0.0211795\pi$
$53$	1.78531	+	4.31011i	0.245231	+	0.592040i	−0.752556	+	0.658528i	$0.771179\pi$
$54$	−5.69586	+	8.17393i	−0.775108	+	1.11233i
$55$	−0.535930	−	0.682021i	−0.0722648	−	0.0919636i
$56$	−2.45008	+	0.339537i	−0.327406	+	0.0453725i
$57$	−11.8149			−1.56493
$58$	−9.05483	−	6.30970i	−1.18896	−	0.828504i
$59$	3.16038	−	7.62983i	0.411446	−	0.993319i	−0.573303	−	0.819343i	$-0.694338\pi$
$59$	3.16038	−	7.62983i	0.411446	−	0.993319i	0.984750	−	0.173976i	$-0.0556616\pi$
$60$	−12.6277	+	3.01301i	−1.63022	+	0.388978i
$61$	−6.62288	+	2.74329i	−0.847973	+	0.351242i	−0.763992	−	0.645226i	$-0.776763\pi$
$61$	−6.62288	+	2.74329i	−0.847973	+	0.351242i	−0.0839806	+	0.996467i	$0.526763\pi$
$62$	0.295514	+	0.461550i	0.0375303	+	0.0586169i
$63$	3.35579	−	3.35579i	0.422790	−	0.422790i
$64$	−7.69851	+	2.17553i	−0.962314	+	0.271941i
$65$	4.18739	+	5.32884i	0.519382	+	0.660962i
$66$	1.55552	+	0.341151i	0.191472	+	0.0419928i
$67$	−1.99380	−	0.825859i	−0.243581	−	0.100895i	0.257553	−	0.966264i	$-0.417084\pi$
$67$	−1.99380	−	0.825859i	−0.243581	−	0.100895i	−0.501134	+	0.865369i	$0.667084\pi$
$68$	−11.6906	+	4.31518i	−1.41769	+	0.523293i
$69$	−20.4449	−	8.46854i	−2.46127	−	1.01949i
$70$	2.76090	−	0.158715i	0.329990	−	0.0189701i
$71$	−4.81570	+	4.81570i	−0.571518	+	0.571518i	−0.932553	−	0.361034i	$-0.882424\pi$
$71$	−4.81570	+	4.81570i	−0.571518	+	0.571518i	0.361034	+	0.932553i	$0.382424\pi$
$72$	9.26097	−	12.2407i	1.09142	−	1.44258i
$73$	10.4638			1.22470			0.612350	−	0.790587i	$-0.290224\pi$
$73$	10.4638			1.22470			0.612350	+	0.790587i	$0.290224\pi$
$74$	−6.44497	−	4.49106i	−0.749212	−	0.522075i
$75$	14.3428	−	2.22560i	1.65617	−	0.256990i
$76$	8.13390	+	0.318170i	0.933022	+	0.0364966i
$77$	−0.313411	−	0.129819i	−0.0357164	−	0.0147942i
$78$	−12.1538	−	2.66552i	−1.37615	−	0.301811i
$79$			7.08525i			0.797153i	0.917135	+	0.398576i	$0.130496\pi$
$79$			7.08525i			0.797153i	−0.917135	+	0.398576i	$0.869504\pi$
$80$	8.77453	−	1.73422i	0.981023	−	0.193892i
$81$			4.16967i			0.463297i
$82$	1.02585	−	4.67750i	0.113286	−	0.516543i
$83$	−6.62851	−	2.74562i	−0.727574	−	0.301371i	−0.0120191	−	0.999928i	$-0.503826\pi$
$83$	−6.62851	−	2.74562i	−0.727574	−	0.301371i	−0.715555	+	0.698557i	$0.753826\pi$
$84$	−3.72773	+	3.44708i	−0.406729	+	0.376107i
$85$	13.4153	−	3.76080i	1.45509	−	0.407916i
$86$	8.63376	−	12.3900i	0.931002	−	1.33605i
$87$	−22.6539			−2.42876
$88$	−1.06170	−	0.276752i	−0.113178	−	0.0295019i
$89$	−1.02452	+	1.02452i	−0.108599	+	0.108599i	−0.759318	−	0.650719i	$-0.774467\pi$
$89$	−1.02452	+	1.02452i	−0.108599	+	0.108599i	0.650719	+	0.759318i	$0.274467\pi$
$90$	−11.4182	+	12.8111i	−1.20359	+	1.35041i
$91$	2.44878	+	1.01432i	0.256701	+	0.106329i
$92$	13.8470	+	6.38066i	1.44365	+	0.665230i
$93$	1.03932	+	0.430501i	0.107773	+	0.0446409i
$94$	−1.80948	+	8.25055i	−0.186634	+	0.850980i
$95$	−9.03616	−	1.08387i	−0.927090	−	0.111203i
$96$	−10.4120	+	12.6983i	−1.06267	+	1.29602i
$97$	5.32927	−	5.32927i	0.541105	−	0.541105i	−0.382748	−	0.923853i	$-0.625022\pi$
$97$	5.32927	−	5.32927i	0.541105	−	0.541105i	0.923853	+	0.382748i	$0.125022\pi$
$98$	−7.42621	+	4.75473i	−0.750160	+	0.480301i
$99$	1.94487	−	0.805590i	0.195466	−	0.0809649i
$100$	−9.93412	+	1.14595i	−0.993412	+	0.114595i
$101$	2.12427	−	5.12845i	0.211373	−	0.510299i	−0.782262	−	0.622950i	$-0.785934\pi$
$101$	2.12427	−	5.12845i	0.211373	−	0.510299i	0.993635	+	0.112650i	$0.0359340\pi$
$102$	−14.6241	+	20.9865i	−1.44800	+	2.07798i
$103$	8.82158			0.869216			0.434608	−	0.900620i	$-0.356887\pi$
$103$	8.82158			0.869216			0.434608	+	0.900620i	$0.356887\pi$
$104$	8.29539	+	2.16235i	0.813430	+	0.212036i
$105$	4.46338	−	3.50731i	0.435581	−	0.342278i
$106$	−5.41304	−	3.77198i	−0.525761	−	0.366367i
$107$	1.78708	+	4.31439i	0.172763	+	0.417087i	0.986417	−	0.164263i	$-0.0525246\pi$
$107$	1.78708	+	4.31439i	0.172763	+	0.417087i	−0.813653	+	0.581350i	$0.802525\pi$
$108$	0.550709	−	14.0787i	0.0529920	−	1.35472i
$109$	4.31666	−	1.78802i	0.413461	−	0.171261i	−0.166249	−	0.986084i	$-0.553166\pi$
$109$	4.31666	−	1.78802i	0.413461	−	0.171261i	0.579711	+	0.814823i	$0.303166\pi$
$110$	1.15838	+	0.403614i	0.110447	+	0.0384831i
$111$	−16.1244			−1.53046
$112$	2.65915	−	2.27273i	0.251267	−	0.214752i
$113$	8.26910	−	8.26910i	0.777891	−	0.777891i	−0.201581	−	0.979472i	$-0.564608\pi$
$113$	8.26910	−	8.26910i	0.777891	−	0.777891i	0.979472	+	0.201581i	$0.0646078\pi$
$114$	14.0717	−	9.00960i	1.31794	−	0.843827i
$115$	−14.8595	−	8.35235i	−1.38566	−	0.778861i
$116$	15.5959	+	0.610059i	1.44804	+	0.0566425i
$117$	−15.1959	+	6.29433i	−1.40486	+	0.581911i
$118$	2.05416	+	11.4972i	0.189101	+	1.05840i
$119$	3.85296	−	3.85296i	0.353200	−	0.353200i
$120$	12.7420	−	13.2179i	1.16318	−	1.20662i
$121$	7.67177	+	7.67177i	0.697434	+	0.697434i
$122$	5.79599	−	8.31762i	0.524744	−	0.753042i
$123$	−3.76158	−	9.08126i	−0.339170	−	0.818830i
$124$	−0.703919	−	0.324363i	−0.0632138	−	0.0291287i
$125$	11.1737	−	0.386384i	0.999403	−	0.0345593i
$126$	−1.43778	+	6.55576i	−0.128088	+	0.584034i
$127$	1.20284	+	1.20284i	0.106735	+	0.106735i	0.758457	−	0.651723i	$-0.225953\pi$
$127$	1.20284	+	1.20284i	0.106735	+	0.106735i	−0.651723	+	0.758457i	$0.725953\pi$
$128$	7.51003	−	8.46165i	0.663799	−	0.747911i
$129$		−	30.9981i		−	2.72923i
$130$	−9.05078	−	3.15356i	−0.793806	−	0.276586i
$131$	0.0691570	+	0.166960i	0.00604228	+	0.0145874i	0.926872	−	0.375378i	$-0.122487\pi$
$131$	0.0691570	+	0.166960i	0.00604228	+	0.0145874i	−0.920830	+	0.389965i	$0.872487\pi$
$132$	−2.11279	+	0.779865i	−0.183895	+	0.0678786i
$133$	−3.28839	+	1.36209i	−0.285139	+	0.118109i
$134$	3.00440	−	0.536786i	0.259541	−	0.0463713i
$135$	−1.87603	+	15.6403i	−0.161463	+	1.34611i
$136$	10.6330	−	14.0542i	0.911772	−	1.20514i
$137$			13.9278i			1.18994i	0.803749	+	0.594968i	$0.202835\pi$
$137$			13.9278i			1.18994i	−0.803749	+	0.594968i	$0.797165\pi$
$138$	30.8078	−	5.50433i	2.62253	−	0.468559i
$139$	10.3053	+	4.26860i	0.874084	+	0.362058i	0.774200	−	0.632941i	$-0.218153\pi$
$139$	10.3053	+	4.26860i	0.874084	+	0.362058i	0.0998848	+	0.994999i	$0.468153\pi$
$140$	−3.16722	+	2.29438i	−0.267679	+	0.193911i
$141$	6.63499	+	16.0183i	0.558767	+	1.34898i
$142$	2.06328	−	9.40780i	0.173147	−	0.789485i
$143$	0.831349	+	0.831349i	0.0695209	+	0.0695209i
$144$	−1.69563	+	21.6408i	−0.141302	+	1.80340i
$145$	−17.3259	−	2.07821i	−1.43884	−	0.172586i
$146$	−12.4625	+	7.97930i	−1.03141	+	0.660372i
$147$	−6.92664	+	16.7224i	−0.571300	+	1.37924i
$148$	11.1007	+	0.434222i	0.912473	+	0.0356928i
$149$	1.99680	−	4.82070i	0.163584	−	0.394927i	−0.820739	−	0.571304i	$-0.806438\pi$
$149$	1.99680	−	4.82070i	0.163584	−	0.394927i	0.984323	+	0.176377i	$0.0564378\pi$
$150$	−15.3853	+	13.5880i	−1.25620	+	1.10945i
$151$	11.2138	+	11.2138i	0.912563	+	0.912563i	0.996473	−	0.0839101i	$-0.0267409\pi$
$151$	11.2138	+	11.2138i	0.912563	+	0.912563i	−0.0839101	+	0.996473i	$0.526741\pi$
$152$	−9.93017	+	5.82364i	−0.805443	+	0.472360i
$153$			33.8131i			2.73363i
$154$	0.472269	−	0.0843788i	0.0380566	−	0.00679944i
$155$	0.755388	+	0.424595i	0.0606742	+	0.0341043i
$156$	16.5079	−	6.09333i	1.32169	−	0.487857i
$157$	0.139154	−	0.335948i	0.0111057	−	0.0268115i	−0.918229	−	0.396049i	$-0.870381\pi$
$157$	0.139154	−	0.335948i	0.0111057	−	0.0268115i	0.929335	+	0.369237i	$0.120381\pi$
$158$	−5.40293	−	8.43859i	−0.429834	−	0.671338i
$159$	−13.5427			−1.07400
$160$	−9.12810	+	8.75659i	−0.721640	+	0.692269i
$161$	−6.66660			−0.525402
$162$	−3.17962	−	4.96611i	−0.249815	−	0.390175i
$163$	−3.46141	+	8.35658i	−0.271118	+	0.654538i	−0.999532	−	0.0306001i	$-0.990258\pi$
$163$	−3.46141	+	8.35658i	−0.271118	+	0.654538i	0.728413	+	0.685138i	$0.240258\pi$
$164$	2.34507	+	6.35321i	0.183120	+	0.496103i
$165$	2.42449	−	0.679674i	0.188746	−	0.0529125i
$166$	9.98832	−	1.78458i	0.775244	−	0.138510i
$167$		−	19.8018i		−	1.53231i	−0.642659	−	0.766153i	$-0.722169\pi$
$167$		−	19.8018i		−	1.53231i	0.642659	−	0.766153i	$-0.277831\pi$
$168$	1.81116	−	6.94813i	0.139734	−	0.536059i
$169$	2.69679	+	2.69679i	0.207446	+	0.207446i
$170$	−13.1099	+	14.7091i	−1.00548	+	1.12814i
$171$	8.45246	−	20.4060i	0.646376	−	1.56049i
$172$	−0.834762	+	21.3404i	−0.0636500	+	1.62719i
$173$	−5.42533	+	13.0979i	−0.412480	+	0.995816i	0.571989	+	0.820261i	$0.306172\pi$
$173$	−5.42533	+	13.0979i	−0.412480	+	0.995816i	−0.984470	+	0.175555i	$0.943828\pi$
$174$	26.9810	−	17.2750i	2.04543	−	1.30961i
$175$	3.73537	−	2.27296i	0.282368	−	0.171820i
$176$	1.47553	−	0.479995i	0.111223	−	0.0361810i
$177$	16.9518	+	16.9518i	1.27417	+	1.27417i
$178$	0.438956	−	2.00148i	0.0329011	−	0.150017i
$179$	−3.88634	−	9.38245i	−0.290479	−	0.701277i	0.709516	−	0.704690i	$-0.248914\pi$
$179$	−3.88634	−	9.38245i	−0.290479	−	0.701277i	−0.999994	+	0.00341243i	$0.998914\pi$
$180$	3.82999	−	23.9652i	0.285470	−	1.78626i
$181$	4.75081	+	1.96785i	0.353125	+	0.146269i	0.552193	−	0.833717i	$-0.313791\pi$
$181$	4.75081	+	1.96785i	0.353125	+	0.146269i	−0.199067	+	0.979986i	$0.563791\pi$
$182$	−3.68999	+	0.659279i	−0.273520	+	0.0488690i
$183$		−	20.8095i		−	1.53829i
$184$	−21.3576	+	2.95977i	−1.57450	+	0.218197i
$185$	−12.3321	−	1.47921i	−0.906672	−	0.108753i
$186$	−1.56613	+	0.279814i	−0.114834	+	0.0205170i
$187$	2.23300	−	0.924940i	0.163293	−	0.0676383i
$188$	−4.13644	−	11.2063i	−0.301681	−	0.817305i
$189$	2.35760	+	5.69174i	0.171490	+	0.414013i
$190$	11.5887	−	5.59971i	0.840730	−	0.406246i
$191$			1.15498i			0.0835711i	0.999127	+	0.0417855i	$0.0133046\pi$
$191$			1.15498i			0.0835711i	−0.999127	+	0.0417855i	$0.986695\pi$
$192$	2.71760	−	23.0636i	0.196126	−	1.66447i
$193$	−14.9723	−	14.9723i	−1.07773	−	1.07773i	−0.996713	−	0.0810143i	$-0.974184\pi$
$193$	−14.9723	−	14.9723i	−1.07773	−	1.07773i	−0.0810143	−	0.996713i	$-0.525816\pi$
$194$	−2.28332	+	10.4111i	−0.163933	+	0.747473i
$195$	−18.9433	+	5.31051i	−1.35656	+	0.380293i
$196$	5.21891	−	11.3259i	0.372780	−	0.808990i
$197$	3.51917	+	8.49602i	0.250730	+	0.605317i	0.998263	−	0.0589080i	$-0.0187619\pi$
$197$	3.51917	+	8.49602i	0.250730	+	0.605317i	−0.747533	+	0.664225i	$0.768762\pi$
$198$	−1.70204	+	2.44254i	−0.120959	+	0.173584i
$199$	−0.501797	−	0.501797i	−0.0355714	−	0.0355714i	0.689097	−	0.724669i	$-0.258007\pi$
$199$	−0.501797	−	0.501797i	−0.0355714	−	0.0355714i	−0.724669	+	0.689097i	$0.758007\pi$
$200$	10.9578	−	8.94020i	0.774832	−	0.632168i
$201$	4.42978	−	4.42978i	0.312453	−	0.312453i
$202$	1.38072	+	7.72791i	0.0971471	+	0.543734i
$203$	−6.30514	+	2.61167i	−0.442534	+	0.183304i
$204$	1.41394	−	36.1469i	0.0989959	−	2.53079i
$205$	−2.04380	−	7.29049i	−0.142745	−	0.509190i
$206$	−10.5066	+	6.72698i	−0.732028	+	0.468691i
$207$	29.2527	−	29.2527i	2.03320	−	2.03320i
$208$	−11.5288	+	3.75035i	−0.799379	+	0.260040i
$209$	−1.57882			−0.109209
$210$	−2.64139	+	7.58083i	−0.182273	+	0.523127i
$211$	−6.42849	+	2.66277i	−0.442556	+	0.183313i	−0.592823	−	0.805333i	$-0.701987\pi$
$211$	−6.42849	+	2.66277i	−0.442556	+	0.183313i	0.150267	+	0.988645i	$0.451987\pi$
$212$	9.32334	+	0.364697i	0.640330	+	0.0250475i
$213$	−7.56563	−	18.2650i	−0.518388	−	1.25150i
$214$	−5.41840	−	3.77572i	−0.370394	−	0.258103i
$215$	2.84367	−	23.7076i	0.193937	−	1.61684i
$216$	10.0799	+	17.1877i	0.685851	+	1.16948i
$217$	0.338899			0.0230060
$218$	−3.77771	+	5.42126i	−0.255859	+	0.367174i
$219$	−11.6242	+	28.0632i	−0.785488	+	1.89634i
$220$	−1.68742	+	0.402625i	−0.113766	+	0.0271450i
$221$	−17.4472	+	7.22685i	−1.17362	+	0.486131i
$222$	19.2043	−	12.2958i	1.28891	−	0.825242i
$223$	10.6023	−	10.6023i	0.709980	−	0.709980i	−0.256551	−	0.966531i	$-0.582586\pi$
$223$	10.6023	−	10.6023i	0.709980	−	0.709980i	0.966531	+	0.256551i	$0.0825860\pi$
$224$	−1.43399	+	4.73460i	−0.0958123	+	0.316344i
$225$	−6.41700	+	26.3642i	−0.427800	+	1.75762i
$226$	−3.54289	+	16.1543i	−0.235669	+	1.07456i
$227$	−24.0101	−	9.94532i	−1.59361	−	0.660094i	−0.603115	−	0.797654i	$-0.706074\pi$
$227$	−24.0101	−	9.94532i	−1.59361	−	0.660094i	−0.990493	+	0.137560i	$0.956074\pi$
$228$	−9.88917	+	21.4610i	−0.654926	+	1.42129i
$229$	5.73174	+	2.37416i	0.378764	+	0.156889i	0.563939	−	0.825816i	$-0.309285\pi$
$229$	5.73174	+	2.37416i	0.378764	+	0.156889i	−0.185175	+	0.982706i	$0.559285\pi$
$230$	24.0670	−	1.38353i	1.58693	−	0.0912274i
$231$	0.696329	−	0.696329i	0.0458151	−	0.0458151i
$232$	−19.0401	+	11.1662i	−1.25004	+	0.733099i
$233$	−2.53515			−0.166083			−0.0830415	−	0.996546i	$-0.526463\pi$
$233$	−2.53515			−0.166083			−0.0830415	+	0.996546i	$0.526463\pi$
$234$	13.2986	−	19.0844i	0.869357	−	1.24758i
$235$	3.60502	+	12.8596i	0.235165	+	0.838866i
$236$	−11.2138	−	12.1268i	−0.729957	−	0.789389i
$237$	−19.0021	−	7.87092i	−1.23432	−	0.511271i
$238$	−1.65080	+	7.52701i	−0.107005	+	0.487904i
$239$		−	0.452582i		−	0.0292751i	−0.999893	−	0.0146376i	$-0.995341\pi$
$239$		−	0.452582i		−	0.0292751i	0.999893	−	0.0146376i	$-0.00465945\pi$
$240$	−5.09648	+	25.4592i	−0.328976	+	1.64338i
$241$			9.35402i			0.602545i	0.953538	+	0.301273i	$0.0974114\pi$
$241$			9.35402i			0.602545i	−0.953538	+	0.301273i	$0.902589\pi$
$242$	−14.9873	−	3.28696i	−0.963423	−	0.211294i
$243$	8.34265	+	3.45564i	0.535181	+	0.221679i
$244$	−0.560390	+	14.3261i	−0.0358753	+	0.917138i
$245$	−6.83161	+	12.1540i	−0.436456	+	0.776489i
$246$	11.4051	+	7.94743i	0.727162	+	0.506710i
$247$	12.3358			0.784909
$248$	1.08572	−	0.150461i	0.0689433	−	0.00955428i
$249$	14.7271	−	14.7271i	0.933291	−	0.933291i
$250$	−13.0133	+	8.98077i	−0.823033	+	0.567994i
$251$	−6.95994	−	2.88290i	−0.439308	−	0.181967i	0.152057	−	0.988372i	$-0.451410\pi$
$251$	−6.95994	−	2.88290i	−0.439308	−	0.181967i	−0.591364	+	0.806405i	$0.701410\pi$
$252$	−3.28675	−	8.90437i	−0.207046	−	0.560923i
$253$	−2.73203	−	1.13164i	−0.171761	−	0.0711457i
$254$	−2.34983	−	0.515356i	−0.147442	−	0.0323363i
$255$	−4.81670	+	40.1566i	−0.301633	+	2.51470i
$256$	−2.49200	+	15.8047i	−0.155750	+	0.987797i
$257$	19.3438	−	19.3438i	1.20664	−	1.20664i	0.234525	−	0.972110i	$-0.424646\pi$
$257$	19.3438	−	19.3438i	1.20664	−	1.20664i	0.972110	−	0.234525i	$-0.0753536\pi$
$258$	23.6379	+	36.9190i	1.47163	+	2.29848i
$259$	−4.48782	+	1.85891i	−0.278859	+	0.115507i
$260$	13.1843	−	3.14584i	0.817658	−	0.195097i
$261$	16.2067	−	39.1265i	1.00317	−	2.42187i
$262$	−0.209684	−	0.146114i	−0.0129543	−	0.00902697i
$263$	3.36754			0.207651			0.103826	−	0.994596i	$-0.466892\pi$
$263$	3.36754			0.207651			0.103826	+	0.994596i	$0.466892\pi$
$264$	1.92166	−	2.53996i	0.118270	−	0.156323i
$265$	−10.3575	−	1.24237i	−0.636259	−	0.0763179i
$266$	2.87782	−	4.12986i	0.176450	−	0.253218i
$267$	−1.60956	−	3.88582i	−0.0985035	−	0.237809i
$268$	−3.16893	+	2.93035i	−0.193573	+	0.179000i
$269$	−1.92345	+	0.796719i	−0.117275	+	0.0485768i	−0.440549	−	0.897728i	$-0.645216\pi$
$269$	−1.92345	+	0.796719i	−0.117275	+	0.0485768i	0.323274	+	0.946305i	$0.395216\pi$
$270$	−9.69233	−	20.0584i	−0.589856	−	1.22071i
$271$	6.41117			0.389451			0.194725	−	0.980858i	$-0.437618\pi$
$271$	6.41117			0.389451			0.194725	+	0.980858i	$0.437618\pi$
$272$	−1.94684	+	24.8470i	−0.118044	+	1.50657i
$273$	−5.44064	+	5.44064i	−0.329282	+	0.329282i
$274$	−10.6208	−	16.5882i	−0.641627	−	1.00213i
$275$	1.91662	−	0.297404i	0.115576	−	0.0179341i
$276$	−32.4950	+	30.0485i	−1.95597	+	1.80871i
$277$	21.8909	−	9.06750i	1.31530	−	0.544813i	0.388871	−	0.921292i	$-0.372865\pi$
$277$	21.8909	−	9.06750i	1.31530	−	0.544813i	0.926425	+	0.376479i	$0.122865\pi$
$278$	−15.5288	+	2.77447i	−0.931354	+	0.166402i
$279$	−1.48707	+	1.48707i	−0.0890286	+	0.0890286i
$280$	2.02259	−	5.14783i	0.120873	−	0.307641i
$281$	−21.5252	−	21.5252i	−1.28409	−	1.28409i	−0.938320	−	0.345769i	$-0.887618\pi$
$281$	−21.5252	−	21.5252i	−1.28409	−	1.28409i	−0.345769	−	0.938320i	$-0.612382\pi$
$282$	−20.1172	−	14.0183i	−1.19796	−	0.834780i
$283$	−6.32619	−	15.2728i	−0.376053	−	0.907873i	−0.992697	−	0.120631i	$-0.961508\pi$
$283$	−6.32619	−	15.2728i	−0.376053	−	0.907873i	0.616644	−	0.787242i	$-0.288492\pi$
$284$	4.71662	+	12.7782i	0.279880	+	0.758244i
$285$	12.9450	−	23.0302i	0.766797	−	1.36419i
$286$	−1.62410	−	0.356191i	−0.0960350	−	0.0210620i
$287$	−2.09388	−	2.09388i	−0.123598	−	0.123598i
$288$	−14.4829	−	27.0674i	−0.853414	−	1.59496i
$289$			21.8226i			1.28368i
$290$	22.2201	−	10.7369i	1.30481	−	0.630491i
$291$	8.37247	+	20.2129i	0.490803	+	1.18490i
$292$	8.75828	−	19.0068i	0.512540	−	1.11229i
$293$	17.1375	−	7.09860i	1.00119	−	0.414705i	0.178954	−	0.983857i	$-0.442729\pi$
$293$	17.1375	−	7.09860i	1.00119	−	0.414705i	0.822232	+	0.569153i	$0.192729\pi$
$294$	−4.50214	−	25.1985i	−0.262570	−	1.46961i
$295$	11.4097	+	14.5200i	0.664301	+	0.845385i
$296$	−13.5522	+	7.94780i	−0.787704	+	0.461956i
$297$			2.73272i			0.158568i
$298$	1.29787	+	7.26417i	0.0751833	+	0.420802i
$299$	21.3462	+	8.84188i	1.23448	+	0.511339i
$300$	7.96236	−	27.9156i	0.459707	−	1.61171i
$301$	−3.57364	−	8.62752i	−0.205981	−	0.497282i
$302$	−21.9069	−	4.80453i	−1.26060	−	0.276469i
$303$	11.3943	+	11.3943i	0.654584	+	0.654584i
$304$	7.38604	−	14.5084i	0.423619	−	0.832111i
$305$	1.90901	−	15.9153i	0.109309	−	0.911307i
$306$	−25.7845	−	40.2717i	−1.47400	−	2.30218i
$307$	−2.17888	+	5.26029i	−0.124356	+	0.300221i	−0.973781	−	0.227488i	$-0.926949\pi$
$307$	−2.17888	+	5.26029i	−0.124356	+	0.300221i	0.849425	+	0.527709i	$0.176949\pi$
$308$	−0.498133	+	0.460630i	−0.0283838	+	0.0262468i
$309$	−9.79980	+	23.6588i	−0.557491	+	1.34590i
$310$	−1.22345	+	0.0703324i	−0.0694875	+	0.00399461i
$311$	19.9320	+	19.9320i	1.13024	+	1.13024i	0.990137	+	0.140104i	$0.0447437\pi$
$311$	19.9320	+	19.9320i	1.13024	+	1.13024i	0.140104	+	0.990137i	$0.455256\pi$
$312$	−15.0145	+	19.8455i	−0.850030	+	1.12353i
$313$			17.7854i			1.00529i	0.864492	+	0.502646i	$0.167640\pi$
$313$			17.7854i			1.00529i	−0.864492	+	0.502646i	$0.832360\pi$
$314$	0.0904464	+	0.506230i	0.00510419	+	0.0285682i
$315$	2.86449	+	10.2180i	0.161396	+	0.575720i
$316$	12.8699	+	5.93039i	0.723986	+	0.333610i
$317$	0.540107	−	1.30393i	0.0303354	−	0.0732362i	−0.907986	−	0.419001i	$-0.862380\pi$
$317$	0.540107	−	1.30393i	0.0303354	−	0.0732362i	0.938321	+	0.345765i	$0.112380\pi$
$318$	16.1295	−	10.3271i	0.904495	−	0.579115i
$319$	−3.02722			−0.169492
$320$	4.19423	−	17.3899i	0.234464	−	0.972125i
$321$	−13.5561			−0.756628
$322$	7.93998	−	5.08368i	0.442478	−	0.283303i
$323$	9.70471	−	23.4292i	0.539985	−	1.30364i
$324$	7.57392	+	3.49003i	0.420773	+	0.193891i
$325$	−14.9751	+	2.32371i	−0.830670	+	0.128896i
$326$	−2.24982	−	12.5923i	−0.124606	−	0.697423i
$327$			13.5632i			0.750049i
$328$	−7.63771	−	5.77847i	−0.421722	−	0.319063i
$329$	3.69336	+	3.69336i	0.203621	+	0.203621i
$330$	−2.36929	+	2.65831i	−0.130425	+	0.146335i
$331$	−1.99874	+	4.82539i	−0.109861	+	0.265227i	−0.969243	−	0.246107i	$-0.920849\pi$
$331$	−1.99874	+	4.82539i	−0.109861	+	0.265227i	0.859382	+	0.511334i	$0.170849\pi$
$332$	−10.5353	+	9.74214i	−0.578201	+	0.534669i
$333$	11.5355	−	27.8491i	0.632140	−	1.52612i
$334$	15.1000	+	23.5841i	0.826236	+	1.29046i
$335$	3.79430	−	2.98155i	0.207305	−	0.162900i
$336$	3.14125	+	9.65640i	0.171369	+	0.526800i
$337$	5.31088	+	5.31088i	0.289302	+	0.289302i	0.836804	−	0.547502i	$-0.184421\pi$
$337$	5.31088	+	5.31088i	0.289302	+	0.289302i	−0.547502	+	0.836804i	$0.684421\pi$
$338$	−5.26837	−	1.15544i	−0.286561	−	0.0628475i
$339$	12.9910	+	31.3631i	0.705576	+	1.70341i
$340$	4.39741	−	27.5157i	0.238483	−	1.49225i
$341$	0.138884	+	0.0575274i	0.00752097	+	0.00311529i
$342$	5.49388	+	30.7493i	0.297075	+	1.66273i
$343$			11.5744i			0.624958i
$344$	−15.2791	−	26.0531i	−0.823794	−	1.40469i
$345$	38.9076	−	30.5735i	2.09472	−	1.64602i
$346$	−3.52632	−	19.7369i	−0.189576	−	1.06106i
$347$	22.3337	−	9.25092i	1.19894	−	0.496615i	0.308281	−	0.951295i	$-0.400246\pi$
$347$	22.3337	−	9.25092i	1.19894	−	0.496615i	0.890655	+	0.454680i	$0.150246\pi$
$348$	−18.9615	+	41.1493i	−1.01644	+	2.20584i
$349$	−1.30342	−	3.14674i	−0.0697706	−	0.168441i	0.885147	−	0.465311i	$-0.154057\pi$
$349$	−1.30342	−	3.14674i	−0.0697706	−	0.168441i	−0.954918	+	0.296870i	$0.904057\pi$
$350$	−2.71560	+	5.55556i	−0.145155	+	0.296957i
$351$		−	21.3516i		−	1.13966i
$352$	−1.39135	+	1.69686i	−0.0741591	+	0.0904430i
$353$	14.9491	+	14.9491i	0.795658	+	0.795658i	0.982408	−	0.186749i	$-0.0597952\pi$
$353$	14.9491	+	14.9491i	0.795658	+	0.795658i	−0.186749	+	0.982408i	$0.559795\pi$
$354$	−33.1165	−	7.26298i	−1.76012	−	0.386023i
$355$	−4.11067	−	14.6633i	−0.218172	−	0.778247i
$356$	1.00345	+	2.71851i	0.0531825	+	0.144081i
$357$	6.05313	+	14.6135i	0.320365	+	0.773431i
$358$	11.7833	+	8.21102i	0.622769	+	0.433966i
$359$	−22.7110	−	22.7110i	−1.19864	−	1.19864i	−0.974574	−	0.224068i	$-0.928066\pi$
$359$	−22.7110	−	22.7110i	−1.19864	−	1.19864i	−0.224068	−	0.974574i	$-0.571934\pi$
$360$	13.7134	+	31.4634i	0.722758	+	1.65827i
$361$	1.72154	−	1.72154i	0.0906073	−	0.0906073i
$362$	−7.15887	+	1.27905i	−0.376262	+	0.0672254i
$363$	−29.0976	+	12.0526i	−1.52723	+	0.632598i
$364$	3.89207	−	3.59905i	0.204000	−	0.188641i
$365$	−11.4647	+	20.3966i	−0.600089	+	1.06761i
$366$	15.8685	+	24.7844i	0.829461	+	1.29550i
$367$	−23.4627	+	23.4627i	−1.22474	+	1.22474i	−0.258815	+	0.965927i	$0.583332\pi$
$367$	−23.4627	+	23.4627i	−1.22474	+	1.22474i	−0.965927	+	0.258815i	$0.916668\pi$
$368$	23.1801	−	19.8115i	1.20834	−	1.03275i
$369$	18.3757			0.956598
$370$	15.8156	−	7.64219i	0.822213	−	0.397299i
$371$	−3.76925	+	1.56128i	−0.195690	+	0.0810574i
$372$	1.65189	−	1.52753i	0.0856467	−	0.0791985i
$373$	−11.2720	−	27.2131i	−0.583644	−	1.40904i	−0.889487	−	0.456960i	$-0.848938\pi$
$373$	−11.2720	−	27.2131i	−0.583644	−	1.40904i	0.305843	−	0.952082i	$-0.401062\pi$
$374$	−1.95420	+	2.80441i	−0.101050	+	0.145013i
$375$	−11.3764	+	30.3961i	−0.587477	+	1.56965i
$376$	13.4720	+	10.1925i	0.694767	+	0.525641i
$377$	23.6526			1.21817
$378$	−7.14821	−	4.98111i	−0.367664	−	0.256200i
$379$	−1.60964	+	3.88601i	−0.0826815	+	0.199611i	−0.959814	−	0.280638i	$-0.909454\pi$
$379$	−1.60964	+	3.88601i	−0.0826815	+	0.199611i	0.877132	+	0.480249i	$0.159454\pi$
$380$	−9.53208	+	15.5064i	−0.488985	+	0.795459i
$381$	−4.56215	+	1.88970i	−0.233726	+	0.0968124i
$382$	−0.880738	−	1.37559i	−0.0450625	−	0.0703811i
$383$	14.1512	−	14.1512i	0.723091	−	0.723091i	−0.246142	−	0.969234i	$-0.579163\pi$
$383$	14.1512	−	14.1512i	0.723091	−	0.723091i	0.969234	+	0.246142i	$0.0791631\pi$
$384$	14.3507	+	29.5413i	0.732330	+	1.50752i
$385$	0.596436	−	0.468678i	0.0303972	−	0.0238860i
$386$	29.2494	+	6.41485i	1.48875	+	0.326507i
$387$	53.5380	+	22.1762i	2.72149	+	1.12728i
$388$	−5.21963	−	14.1409i	−0.264987	−	0.717894i
$389$	−27.8531	−	11.5371i	−1.41221	−	0.584957i	−0.459320	−	0.888271i	$-0.651907\pi$
$389$	−27.8531	−	11.5371i	−1.41221	−	0.584957i	−0.952891	+	0.303314i	$0.901907\pi$
$390$	18.5120	−	20.7702i	0.937393	−	1.05174i
$391$	33.5865	−	33.5865i	1.69854	−	1.69854i
$392$	2.42087	+	17.4689i	0.122273	+	0.882314i
$393$	−0.524599			−0.0264625
$394$	−10.6701	−	7.43526i	−0.537551	−	0.374583i
$395$	−13.8109	−	7.76294i	−0.694901	−	0.390596i
$396$	0.164563	−	4.20700i	0.00826963	−	0.211410i
$397$	−19.6382	−	8.13443i	−0.985615	−	0.408255i	−0.169113	−	0.985597i	$-0.554090\pi$
$397$	−19.6382	−	8.13443i	−0.985615	−	0.408255i	−0.816503	+	0.577341i	$0.804090\pi$
$398$	0.980294	+	0.214994i	0.0491377	+	0.0107767i
$399$		−	10.3323i		−	0.517264i
$400$	−6.23337	+	19.0038i	−0.311669	+	0.950191i
$401$		−	12.2617i		−	0.612320i	−0.951980	−	0.306160i	$-0.900956\pi$
$401$		−	12.2617i		−	0.612320i	0.951980	−	0.306160i	$-0.0990443\pi$
$402$	−1.89793	+	8.65388i	−0.0946604	+	0.431616i
$403$	−1.08514	−	0.449480i	−0.0540547	−	0.0223902i
$404$	−7.53744	−	8.15113i	−0.375002	−	0.405534i
$405$	−8.12771	−	4.56849i	−0.403869	−	0.227010i
$406$	5.51792	−	7.91858i	0.273850	−	0.392992i
$407$	−2.15469			−0.106804
$408$	25.8802	+	44.1295i	1.28126	+	2.18474i
$409$	−10.8190	+	10.8190i	−0.534966	+	0.534966i	−0.922046	−	0.387080i	$-0.873484\pi$
$409$	−10.8190	+	10.8190i	−0.534966	+	0.534966i	0.387080	+	0.922046i	$0.373484\pi$
$410$	7.99362	+	7.12452i	0.394777	+	0.351855i
$411$	−37.3534	−	15.4723i	−1.84251	−	0.763192i
$412$	7.38370	−	16.0238i	0.363769	−	0.789436i
$413$	6.67239	+	2.76380i	0.328327	+	0.135997i
$414$	−12.5333	+	57.1471i	−0.615977	+	2.80863i
$415$	12.6144	−	9.91236i	0.619217	−	0.486579i
$416$	10.8710	−	13.2581i	0.532997	−	0.650032i
$417$	−22.8961	+	22.8961i	−1.12123	+	1.12123i
$418$	1.88039	−	1.20394i	0.0919727	−	0.0588868i
$419$	18.9300	−	7.84106i	0.924791	−	0.383061i	0.131091	−	0.991370i	$-0.458152\pi$
$419$	18.9300	−	7.84106i	0.924791	−	0.383061i	0.793700	+	0.608309i	$0.208152\pi$
$420$	−2.63492	−	11.0431i	−0.128571	−	0.538846i
$421$	−6.61328	+	15.9659i	−0.322312	+	0.778129i	0.676807	+	0.736160i	$0.263363\pi$
$421$	−6.61328	+	15.9659i	−0.322312	+	0.778129i	−0.999119	+	0.0419689i	$0.986637\pi$
$422$	5.62587	−	8.07349i	0.273863	−	0.393012i
$423$	−32.4125			−1.57595
$424$	−11.3823	+	6.67525i	−0.552773	+	0.324179i
$425$	−7.36769	+	30.2702i	−0.357386	+	1.46832i
$426$	22.9389	+	15.9846i	1.11139	+	0.774456i
$427$	−2.39904	−	5.79180i	−0.116098	−	0.280285i
$428$	9.33258	+	0.365059i	0.451107	+	0.0176458i
$429$	−3.15315	+	1.30608i	−0.152236	+	0.0630581i
$430$	14.6916	+	30.4044i	0.708492	+	1.46623i
$431$	−28.4960			−1.37260			−0.686302	−	0.727317i	$-0.740767\pi$
$431$	−28.4960			−1.37260			−0.686302	+	0.727317i	$0.740767\pi$
$432$	−25.1120	−	12.7842i	−1.20820	−	0.615081i
$433$	−1.31921	+	1.31921i	−0.0633970	+	0.0633970i	−0.738094	−	0.674697i	$-0.764274\pi$
$433$	−1.31921	+	1.31921i	−0.0633970	+	0.0633970i	0.674697	+	0.738094i	$0.264274\pi$
$434$	−0.403632	+	0.258431i	−0.0193750	+	0.0124051i
$435$	24.8207	−	44.1581i	1.19006	−	2.11722i
$436$	0.365251	−	9.33750i	0.0174924	−	0.447185i
$437$	−28.6651	+	11.8735i	−1.37124	+	0.567986i
$438$	−7.55540	−	42.2877i	−0.361011	−	2.02058i
$439$	−3.43223	+	3.43223i	−0.163812	+	0.163812i	−0.784253	−	0.620441i	$-0.786954\pi$
$439$	−3.43223	+	3.43223i	−0.163812	+	0.163812i	0.620441	+	0.784253i	$0.286954\pi$
$440$	1.70271	−	1.76629i	0.0811733	−	0.0842045i
$441$	−23.9266	−	23.9266i	−1.13936	−	1.13936i
$442$	15.2688	−	21.9117i	0.726264	−	1.04224i
$443$	15.6711	+	37.8335i	0.744558	+	1.79752i	0.586246	+	0.810133i	$0.300605\pi$
$443$	15.6711	+	37.8335i	0.744558	+	1.79752i	0.158312	+	0.987389i	$0.449395\pi$
$444$	−13.4962	+	29.2889i	−0.640502	+	1.38999i
$445$	−0.874530	−	3.11956i	−0.0414567	−	0.147881i
$446$	−4.54253	+	20.7123i	−0.215095	+	0.980754i
$447$	10.7105	+	10.7105i	0.506590	+	0.506590i
$448$	−1.90253	−	6.73246i	−0.0898859	−	0.318079i
$449$			9.68940i			0.457271i	0.973512	+	0.228636i	$0.0734264\pi$
$449$			9.68940i			0.457271i	−0.973512	+	0.228636i	$0.926574\pi$
$450$	−12.4616	−	36.2934i	−0.587446	−	1.71089i
$451$	−0.502656	−	1.21352i	−0.0236692	−	0.0571424i
$452$	−8.09897	−	21.9415i	−0.380944	−	1.03204i
$453$	−42.5317	+	17.6172i	−1.99831	+	0.827729i
$454$	36.1802	−	6.46420i	1.69802	−	0.303380i
$455$	−4.66015	+	3.66193i	−0.218471	+	0.171674i
$456$	−4.58724	−	33.1014i	−0.214817	−	1.55011i
$457$		−	21.5066i		−	1.00604i	−0.864276	−	0.503018i	$-0.832223\pi$
$457$		−	21.5066i		−	1.00604i	0.864276	−	0.503018i	$-0.167777\pi$
$458$	−8.63700	+	1.54314i	−0.403580	+	0.0721064i
$459$	−40.5528	−	16.7975i	−1.89284	−	0.784041i
$460$	−27.6089	+	20.0003i	−1.28727	+	0.932519i
$461$	3.36010	+	8.11200i	0.156496	+	0.377814i	0.982608	−	0.185692i	$-0.0594525\pi$
$461$	3.36010	+	8.11200i	0.156496	+	0.377814i	−0.826113	+	0.563505i	$0.809453\pi$
$462$	−0.298341	+	1.36033i	−0.0138801	+	0.0632881i
$463$	9.44389	+	9.44389i	0.438895	+	0.438895i	0.891640	−	0.452745i	$-0.149555\pi$
$463$	9.44389	+	9.44389i	0.438895	+	0.438895i	−0.452745	+	0.891640i	$0.649555\pi$
$464$	14.1620	−	27.8183i	0.657453	−	1.29143i
$465$	−1.97788	+	1.55422i	−0.0917222	+	0.0720750i
$466$	3.01938	−	1.93320i	0.139870	−	0.0895538i
$467$	1.40294	−	3.38699i	0.0649202	−	0.156731i	−0.888090	−	0.459670i	$-0.847968\pi$
$467$	1.40294	−	3.38699i	0.0649202	−	0.156731i	0.953010	+	0.302939i	$0.0979677\pi$
$468$	−1.28579	+	32.8706i	−0.0594355	+	1.51945i
$469$	0.722225	−	1.74360i	0.0333492	−	0.0805122i
$470$	−14.0998	−	12.5668i	−0.650375	−	0.579664i
$471$	0.746401	+	0.746401i	0.0343923	+	0.0343923i
$472$	22.6032	+	5.89195i	1.04040	+	0.271199i
$473$		−	4.14224i		−	0.190461i
$474$	28.6337	−	5.11589i	1.31519	−	0.234981i
$475$	12.0132	−	16.4261i	0.551202	−	0.753683i
$476$	−3.77369	−	10.2236i	−0.172967	−	0.468597i
$477$	9.68849	−	23.3901i	0.443605	−	1.07096i
$478$	0.345121	+	0.539030i	0.0157855	+	0.0246546i
$479$	−6.60131			−0.301621			−0.150811	−	0.988563i	$-0.548188\pi$
$479$	−6.60131			−0.301621			−0.150811	+	0.988563i	$0.548188\pi$
$480$	−13.3442	−	34.2085i	−0.609076	−	1.56140i
$481$	16.8353			0.767622
$482$	−7.13300	−	11.1407i	−0.324899	−	0.507446i
$483$	7.40585	−	17.8793i	0.336978	−	0.813537i
$484$	20.3566	−	7.51394i	0.925298	−	0.341543i
$485$	4.54905	+	16.2271i	0.206562	+	0.736833i
$486$	−12.5713	+	2.24607i	−0.570246	+	0.101884i
$487$		−	11.6847i		−	0.529482i	−0.964319	−	0.264741i	$-0.914713\pi$
$487$		−	11.6847i		−	0.529482i	0.964319	−	0.264741i	$-0.0852865\pi$
$488$	−10.2571	−	17.4899i	−0.464318	−	0.791731i
$489$	−18.5665	−	18.5665i	−0.839605	−	0.839605i
$490$	−1.13163	−	19.6850i	−0.0511217	−	0.889278i
$491$	2.75325	−	6.64693i	0.124252	−	0.299972i	−0.849497	−	0.527593i	$-0.823095\pi$
$491$	2.75325	−	6.64693i	0.124252	−	0.299972i	0.973750	+	0.227621i	$0.0730948\pi$
$492$	−19.6440	−	0.768404i	−0.885618	−	0.0346423i
$493$	18.6078	−	44.9232i	0.838053	−	2.02324i
$494$	−14.6921	+	9.40679i	−0.661027	+	0.423232i
$495$	−0.560597	+	4.67366i	−0.0251969	+	0.210066i
$496$	−1.17837	+	1.00713i	−0.0529103	+	0.0452214i
$497$	−4.21140	−	4.21140i	−0.188907	−	0.188907i
$498$	−6.30980	+	28.7704i	−0.282749	+	1.28923i
$499$	−4.54245	−	10.9664i	−0.203348	−	0.490925i	0.789001	−	0.614392i	$-0.210599\pi$
$499$	−4.54245	−	10.9664i	−0.203348	−	0.490925i	−0.992349	+	0.123467i	$0.960599\pi$
$500$	8.65057	−	20.6196i	0.386865	−	0.922136i
$501$	53.1068	+	21.9975i	2.37264	+	0.982778i
$502$	10.4877	−	1.87381i	0.468091	−	0.0836322i
$503$			8.07833i			0.360195i	0.983649	+	0.180097i	$0.0576413\pi$
$503$			8.07833i			0.360195i	−0.983649	+	0.180097i	$0.942359\pi$
$504$	10.7047	+	8.09884i	0.476824	+	0.360751i
$505$	7.66914	+	9.75970i	0.341272	+	0.434301i
$506$	4.11681	−	0.735537i	0.183015	−	0.0326986i
$507$	−10.2284	+	4.23675i	−0.454260	+	0.188161i
$508$	3.19166	−	1.17809i	0.141607	−	0.0522694i
$509$	0.638613	+	1.54175i	0.0283060	+	0.0683368i	0.937400	−	0.348253i	$-0.113225\pi$
$509$	0.638613	+	1.54175i	0.0283060	+	0.0683368i	−0.909094	+	0.416590i	$0.863225\pi$
$510$	−24.8850	−	51.4998i	−1.10193	−	2.28045i
$511$			9.15077i			0.404806i
$512$	−9.08407	−	20.7239i	−0.401463	−	0.915875i
$513$	20.2744	+	20.2744i	0.895138	+	0.895138i
$514$	−8.28785	+	37.7895i	−0.365561	+	1.66682i
$515$	−9.66534	+	17.1954i	−0.425906	+	0.757721i
$516$	−56.3059	−	25.9456i	−2.47873	−	1.14219i
$517$	0.886626	+	2.14051i	0.0389938	+	0.0941393i
$518$	3.92750	−	5.63621i	0.172564	−	0.247641i
$519$	−29.1007	−	29.1007i	−1.27738	−	1.27738i
$520$	−13.3038	+	13.8006i	−0.583409	+	0.605195i
$521$	−25.0881	+	25.0881i	−1.09913	+	1.09913i	−0.104619	+	0.994512i	$0.533362\pi$
$521$	−25.0881	+	25.0881i	−1.09913	+	1.09913i	−0.994512	+	0.104619i	$0.966638\pi$
$522$	10.5339	+	58.9586i	0.461058	+	2.58055i
$523$	−23.4262	+	9.70345i	−1.02436	+	0.424302i	−0.830672	−	0.556762i	$-0.812044\pi$
$523$	−23.4262	+	9.70345i	−1.02436	+	0.424302i	−0.193684	+	0.981064i	$0.562044\pi$
$524$	0.361156	+	0.0141272i	0.0157772	+	0.000617149i
$525$	1.94632	+	12.5430i	0.0849442	+	0.547421i
$526$	−4.01076	+	2.56795i	−0.174878	+	0.111968i
$527$	−1.70738	+	1.70738i	−0.0743748	+	0.0743748i
$528$	−0.351844	+	4.49049i	−0.0153120	+	0.195423i
$529$	−35.1133			−1.52667
$530$	13.2833	−	6.41857i	0.576990	−	0.278805i
$531$	−41.4055	+	17.1507i	−1.79684	+	0.744277i
$532$	−0.278244	+	7.11321i	−0.0120634	+	0.308397i
$533$	3.92741	+	9.48161i	0.170115	+	0.410694i
$534$	4.88017	+	3.40066i	0.211186	+	0.147161i
$535$	−10.3678	−	1.24360i	−0.448239	−	0.0537654i
$536$	1.53966	−	5.90658i	0.0665032	−	0.255125i
$537$	29.4803			1.27217
$538$	1.68330	−	2.41565i	0.0725723	−	0.104146i
$539$	−0.925600	+	2.23460i	−0.0398684	+	0.0962509i
$540$	26.8394	+	16.4987i	1.15498	+	0.709991i
$541$	−9.88083	+	4.09277i	−0.424810	+	0.175962i	−0.584837	−	0.811150i	$-0.698842\pi$
$541$	−9.88083	+	4.09277i	−0.424810	+	0.175962i	0.160027	+	0.987113i	$0.448842\pi$
$542$	−7.63576	+	4.88890i	−0.327984	+	0.209996i
$543$	−10.5553	+	10.5553i	−0.452969	+	0.452969i
$544$	−16.6286	−	31.0775i	−0.712945	−	1.33244i
$545$	−1.24425	+	10.3733i	−0.0532979	+	0.444342i
$546$	2.33104	−	10.6287i	0.0997591	−	0.454865i
$547$	−19.0327	−	7.88362i	−0.813781	−	0.337079i	−0.0633197	−	0.997993i	$-0.520169\pi$
$547$	−19.0327	−	7.88362i	−0.813781	−	0.337079i	−0.750462	+	0.660914i	$0.770169\pi$
$548$	25.2990	+	11.6577i	1.08072	+	0.497991i
$549$	35.9410	+	14.8872i	1.53392	+	0.635372i
$550$	−2.05592	+	1.81575i	−0.0876646	+	0.0774236i
$551$	−22.4594	+	22.4594i	−0.956803	+	0.956803i
$552$	15.7880	−	60.5674i	0.671983	−	2.57792i
$553$	−6.19615			−0.263487
$554$	−19.1577	+	27.4926i	−0.813934	+	1.16805i
$555$	17.6667	−	31.4304i	0.749909	−	1.33415i
$556$	16.3792	−	15.1460i	0.694633	−	0.642335i
$557$	13.5996	+	5.63313i	0.576233	+	0.238684i	0.651715	−	0.758464i	$-0.274050\pi$
$557$	13.5996	+	5.63313i	0.576233	+	0.238684i	−0.0754824	+	0.997147i	$0.524050\pi$
$558$	0.637134	−	2.90510i	0.0269720	−	0.122983i
$559$			32.3647i			1.36888i
$560$	1.51660	+	7.67345i	0.0640882	+	0.324263i
$561$			7.01625i			0.296226i
$562$	42.0511	+	9.22247i	1.77382	+	0.389027i
$563$	36.0212	+	14.9205i	1.51811	+	0.628823i	0.977212	−	0.212264i	$-0.0680838\pi$
$563$	36.0212	+	14.9205i	1.51811	+	0.628823i	0.540900	+	0.841087i	$0.318084\pi$
$564$	34.6496	+	1.35537i	1.45901	+	0.0570716i
$565$	7.05848	+	25.1785i	0.296952	+	1.05927i
$566$	19.1810	+	13.3659i	0.806236	+	0.561812i
$567$	−3.64643			−0.153136
$568$	−15.3616	−	11.6222i	−0.644560	−	0.487656i
$569$	−6.19090	+	6.19090i	−0.259536	+	0.259536i	−0.824865	−	0.565329i	$-0.808749\pi$
$569$	−6.19090	+	6.19090i	−0.259536	+	0.259536i	0.565329	+	0.824865i	$0.308749\pi$
$570$	2.14429	+	37.3006i	0.0898144	+	1.56235i
$571$	−4.19876	−	1.73919i	−0.175713	−	0.0727826i	0.293093	−	0.956084i	$-0.405316\pi$
$571$	−4.19876	−	1.73919i	−0.175713	−	0.0727826i	−0.468806	+	0.883301i	$0.655316\pi$
$572$	2.20593	−	0.814246i	0.0922347	−	0.0340453i
$573$	−3.09755	−	1.28305i	−0.129402	−	0.0536002i
$574$	4.09054	+	0.897120i	0.170736	+	0.0374451i
$575$	32.5616	−	19.8136i	1.35791	−	0.826283i
$576$	37.8898	+	21.1935i	1.57874	+	0.883061i
$577$	−0.387977	+	0.387977i	−0.0161517	+	0.0161517i	−0.715137	−	0.698985i	$-0.753635\pi$
$577$	−0.387977	+	0.387977i	−0.0161517	+	0.0161517i	0.698985	+	0.715137i	$0.253635\pi$
$578$	−16.6410	−	25.9909i	−0.692176	−	1.08108i
$579$	56.7870	−	23.5219i	2.35999	−	0.977539i
$580$	−18.2768	+	29.7318i	−0.758902	+	1.23455i
$581$	2.40108	−	5.79672i	0.0996137	−	0.240489i
$582$	−25.3853	−	17.6893i	−1.05225	−	0.733244i
$583$	−1.80969			−0.0749499
$584$	4.06266	+	29.3160i	0.168114	+	1.21311i
$585$	4.38012	−	36.5168i	0.181096	−	1.50978i
$586$	−14.9979	+	21.5229i	−0.619555	+	0.889102i
$587$	7.68430	+	18.5515i	0.317165	+	0.765704i	0.999402	+	0.0345730i	$0.0110071\pi$
$587$	7.68430	+	18.5515i	0.317165	+	0.765704i	−0.682237	+	0.731131i	$0.738993\pi$
$588$	24.5775	+	26.5785i	1.01356	+	1.09608i
$589$	1.45720	−	0.603593i	0.0600430	−	0.0248706i
$590$	−24.6615	−	8.59279i	−1.01530	−	0.353760i
$591$	−26.6951			−1.09809
$592$	10.0801	−	19.8002i	0.414289	−	0.813785i
$593$	−5.88148	+	5.88148i	−0.241524	+	0.241524i	−0.817480	−	0.575957i	$-0.804630\pi$
$593$	−5.88148	+	5.88148i	−0.241524	+	0.241524i	0.575957	+	0.817480i	$0.304630\pi$
$594$	−2.08386	−	3.25469i	−0.0855018	−	0.133542i
$595$	3.28887	+	11.7318i	0.134831	+	0.480958i
$596$	−7.08514	−	7.66199i	−0.290218	−	0.313847i
$597$	1.90322	−	0.788340i	0.0778936	−	0.0322646i
$598$	−32.1660	+	5.74699i	−1.31536	+	0.235012i
$599$	30.0032	−	30.0032i	1.22590	−	1.22590i	0.260394	−	0.965502i	$-0.416147\pi$
$599$	30.0032	−	30.0032i	1.22590	−	1.22590i	0.965502	−	0.260394i	$-0.0838526\pi$
$600$	11.8041	+	39.3195i	0.481899	+	1.60521i
$601$	−14.9613	−	14.9613i	−0.610284	−	0.610284i	0.332736	−	0.943020i	$-0.392028\pi$
$601$	−14.9613	−	14.9613i	−0.610284	−	0.610284i	−0.943020	+	0.332736i	$0.892028\pi$
$602$	10.8352	+	7.55034i	0.441611	+	0.307729i
$603$	4.48176	+	10.8199i	0.182511	+	0.440621i
$604$	29.7550	−	10.9831i	1.21071	−	0.446894i
$605$	−23.3597	+	6.54860i	−0.949708	+	0.266239i
$606$	−22.2595	−	4.88186i	−0.904230	−	0.198312i
$607$	2.19636	+	2.19636i	0.0891476	+	0.0891476i	0.750274	−	0.661127i	$-0.229921\pi$
$607$	2.19636	+	2.19636i	0.0891476	+	0.0891476i	−0.661127	+	0.750274i	$0.729921\pi$
$608$	2.26664	+	22.9119i	0.0919246	+	0.929200i
$609$		−	19.8112i		−	0.802790i
$610$	9.86272	+	20.4110i	0.399330	+	0.826417i
$611$	−6.92749	−	16.7244i	−0.280256	−	0.676599i
$612$	61.4192	+	28.3017i	2.48272	+	1.14403i
$613$	33.1948	−	13.7497i	1.34072	−	0.555346i	0.407029	−	0.913415i	$-0.366565\pi$
$613$	33.1948	−	13.7497i	1.34072	−	0.555346i	0.933695	+	0.358069i	$0.116565\pi$
$614$	−1.41622	−	7.92659i	−0.0571539	−	0.319891i
$615$	21.8230	+	2.61762i	0.879987	+	0.105553i
$616$	0.242023	−	0.928471i	0.00975140	−	0.0374091i
$617$		−	17.0714i		−	0.687270i	−0.939103	−	0.343635i	$-0.888342\pi$
$617$		−	17.0714i		−	0.687270i	0.939103	−	0.343635i	$-0.111658\pi$
$618$	−6.36961	−	35.6508i	−0.256223	−	1.43408i
$619$	−13.8633	−	5.74237i	−0.557213	−	0.230805i	0.0862616	−	0.996273i	$-0.472508\pi$
$619$	−13.8633	−	5.74237i	−0.557213	−	0.230805i	−0.643475	+	0.765467i	$0.722508\pi$
$620$	1.40351	−	1.01672i	0.0563664	−	0.0408326i
$621$	20.5514	+	49.6154i	0.824697	+	1.99100i
$622$	−38.9386	−	8.53985i	−1.56129	−	0.342417i
$623$	−0.895960	−	0.895960i	−0.0358959	−	0.0358959i
$624$	2.74907	−	35.0856i	0.110051	−	1.40455i
$625$	−11.4892	+	22.2035i	−0.459570	+	0.888142i
$626$	−13.5625	−	21.1826i	−0.542065	−	0.846628i
$627$	1.75389	−	4.23427i	0.0700437	−	0.169100i
$628$	−0.493753	−	0.533954i	−0.0197029	−	0.0213071i
$629$	13.2445	−	31.9750i	0.528092	−	1.27493i
$630$	−11.2035	−	9.98540i	−0.446358	−	0.397828i
$631$	−28.5604	−	28.5604i	−1.13697	−	1.13697i	−0.988990	−	0.147981i	$-0.952723\pi$
$631$	−28.5604	−	28.5604i	−1.13697	−	1.13697i	−0.147981	−	0.988990i	$-0.547277\pi$
$632$	−19.8504	+	2.75090i	−0.789606	+	0.109425i
$633$		−	20.1988i		−	0.802829i
$634$	0.351055	+	1.96486i	0.0139422	+	0.0780346i
$635$	−3.66252	+	1.02674i	−0.145343	+	0.0407450i
$636$	−11.3353	+	24.5993i	−0.449473	+	0.975427i
$637$	7.23201	−	17.4596i	0.286543	−	0.691775i
$638$	3.60545	−	2.30844i	0.142741	−	0.0913920i
$639$	36.9588			1.46207
$640$	8.26547	+	23.9099i	0.326722	+	0.945121i
$641$	38.1005			1.50488			0.752440	−	0.658660i	$-0.228877\pi$
$641$	38.1005			1.50488			0.752440	+	0.658660i	$0.228877\pi$
$642$	16.1454	−	10.3373i	0.637210	−	0.407982i
$643$	−4.45614	+	10.7581i	−0.175733	+	0.424257i	−0.987063	−	0.160331i	$-0.948744\pi$
$643$	−4.45614	+	10.7581i	−0.175733	+	0.424257i	0.811330	+	0.584588i	$0.198744\pi$
$644$	−5.57998	+	12.1094i	−0.219882	+	0.477178i
$645$	60.4229	+	33.9630i	2.37915	+	1.33729i
$646$	6.30781	+	35.3049i	0.248177	+	1.38905i
$647$			37.4938i			1.47403i	0.675875	+	0.737017i	$0.263766\pi$
$647$			37.4938i			1.47403i	−0.675875	+	0.737017i	$0.736234\pi$
$648$	−11.6820	+	1.61891i	−0.458911	+	0.0635966i
$649$	2.26525	+	2.26525i	0.0889188	+	0.0889188i
$650$	16.0635	−	14.1870i	0.630064	−	0.556460i
$651$	−0.376479	+	0.908902i	−0.0147554	+	0.0356227i
$652$	12.2819	+	13.2819i	0.480998	+	0.520160i
$653$	−16.6371	+	40.1656i	−0.651062	+	1.57180i	0.160177	+	0.987088i	$0.448793\pi$
$653$	−16.6371	+	40.1656i	−0.651062	+	1.57180i	−0.811239	+	0.584714i	$0.801207\pi$
$654$	−10.3428	−	16.1540i	−0.404435	−	0.631670i
$655$	−0.401217	−	0.0481252i	−0.0156769	−	0.00188041i
$656$	13.5030	+	1.05800i	0.527204	+	0.0413081i
$657$	−40.1531	−	40.1531i	−1.56652	−	1.56652i
$658$	−7.21522	−	1.58241i	−0.281279	−	0.0616890i
$659$	2.26562	+	5.46968i	0.0882559	+	0.213069i	0.961845	−	0.273596i	$-0.0882132\pi$
$659$	2.26562	+	5.46968i	0.0882559	+	0.213069i	−0.873589	+	0.486665i	$0.838213\pi$
$660$	0.794726	−	4.97280i	0.0309346	−	0.193566i
$661$	−16.6676	−	6.90394i	−0.648294	−	0.268532i	0.0342094	−	0.999415i	$-0.489109\pi$
$661$	−16.6676	−	6.90394i	−0.648294	−	0.268532i	−0.682503	+	0.730883i	$0.739109\pi$
$662$	−1.29913	−	7.27124i	−0.0504921	−	0.282605i
$663$		−	54.8202i		−	2.12904i
$664$	5.11870	−	19.6368i	0.198644	−	0.762055i
$665$	0.947858	−	7.90224i	0.0367564	−	0.306436i
$666$	7.49775	+	41.9650i	0.290532	+	1.62611i
$667$	−54.9624	+	22.7662i	−2.12815	+	0.881510i
$668$	−35.9685	−	16.5742i	−1.39166	−	0.641274i
$669$	16.6565	+	40.2124i	0.643978	+	1.55470i
$670$	−2.24544	+	6.44444i	−0.0867488	+	0.248970i
$671$		−	2.78076i		−	0.107350i
$672$	−11.1048	−	9.10546i	−0.428379	−	0.351251i
$673$	−8.32614	−	8.32614i	−0.320949	−	0.320949i	0.528182	−	0.849131i	$-0.322874\pi$
$673$	−8.32614	−	8.32614i	−0.320949	−	0.320949i	−0.849131	+	0.528182i	$0.822874\pi$
$674$	−10.3752	−	2.27544i	−0.399637	−	0.0876468i
$675$	−28.4314	−	20.7931i	−1.09432	−	0.800328i
$676$	7.15576	−	2.64131i	0.275222	−	0.101589i
$677$	−2.87046	−	6.92990i	−0.110321	−	0.266338i	0.859071	−	0.511856i	$-0.171042\pi$
$677$	−2.87046	−	6.92990i	−0.110321	−	0.266338i	−0.969392	+	0.245518i	$0.921042\pi$
$678$	−39.3887	−	27.4473i	−1.51271	−	1.05411i
$679$	4.66052	+	4.66052i	0.178854	+	0.178854i
$680$	15.7450	+	36.1248i	0.603794	+	1.38532i
$681$	53.3452	−	53.3452i	2.04419	−	2.04419i
$682$	−0.209280	+	0.0373913i	−0.00801373	+	0.00143179i
$683$	13.7748	−	5.70572i	0.527079	−	0.218323i	−0.103244	−	0.994656i	$-0.532922\pi$
$683$	13.7748	−	5.70572i	0.527079	−	0.218323i	0.630323	+	0.776333i	$0.282922\pi$
$684$	−29.9914	−	32.4333i	−1.14675	−	1.24012i
$685$	−27.1488	−	15.2600i	−1.03730	−	0.583055i
$686$	−8.82616	−	13.7852i	−0.336985	−	0.526321i
$687$	−12.7347	+	12.7347i	−0.485857	+	0.485857i
$688$	38.0646	+	19.3783i	1.45120	+	0.738790i
$689$	14.1397			0.538680
$690$	−23.0252	+	66.0827i	−0.876554	+	2.51573i
$691$	37.1075	−	15.3704i	1.41163	−	0.584718i	0.458891	−	0.888493i	$-0.348247\pi$
$691$	37.1075	−	15.3704i	1.41163	−	0.584718i	0.952744	+	0.303774i	$0.0982469\pi$
$692$	19.2504	+	20.8178i	0.731792	+	0.791373i
$693$	0.704500	+	1.70081i	0.0267617	+	0.0646085i
$694$	−19.5453	+	28.0487i	−0.741928	+	1.06471i
$695$	−19.6115	+	15.4107i	−0.743908	+	0.584561i
$696$	−8.79556	−	63.4685i	−0.333395	−	2.40577i
$697$	21.0980			0.799145
$698$	3.95196	+	2.75386i	0.149584	+	0.104235i
$699$	2.81627	−	6.79907i	0.106521	−	0.257165i
$700$	−1.00215	−	8.68753i	−0.0378776	−	0.328358i
$701$	25.1412	−	10.4138i	0.949569	−	0.393324i	0.146500	−	0.989211i	$-0.453199\pi$
$701$	25.1412	−	10.4138i	0.949569	−	0.393324i	0.803069	+	0.595886i	$0.203199\pi$
$702$	16.2819	+	25.4299i	0.614519	+	0.959791i
$703$	−15.9860	+	15.9860i	−0.602922	+	0.602922i
$704$	0.363150	−	3.08196i	0.0136867	−	0.116156i
$705$	−38.4932	−	4.61718i	−1.44974	−	0.173893i
$706$	−29.2040	−	6.40491i	−1.09911	−	0.241052i
$707$	4.48490	+	1.85771i	0.168672	+	0.0698662i
$708$	44.9805	−	16.6030i	1.69047	−	0.623980i
$709$	33.2256	+	13.7625i	1.24781	+	0.516861i	0.906148	−	0.422960i	$-0.139009\pi$
$709$	33.2256	+	13.7625i	1.24781	+	0.516861i	0.341665	+	0.939822i	$0.389009\pi$
$710$	16.0775	+	14.3295i	0.603377	+	0.537776i
$711$	27.1884	−	27.1884i	1.01964	−	1.01964i
$712$	−3.26814	−	2.47258i	−0.122479	−	0.0926638i
$713$	2.95421			0.110636
$714$	−18.3530	−	12.7890i	−0.686845	−	0.478616i
$715$	−2.53137	+	0.709637i	−0.0946679	+	0.0265389i
$716$	−20.2955	−	0.793889i	−0.758477	−	0.0296690i
$717$	1.21379	+	0.502769i	0.0453299	+	0.0187763i
$718$	44.3675	+	9.73051i	1.65578	+	0.363140i
$719$		−	6.76280i		−	0.252210i	−0.992017	−	0.126105i	$-0.959752\pi$
$719$		−	6.76280i		−	0.252210i	0.992017	−	0.126105i	$-0.0402476\pi$
$720$	−40.3255	−	27.0159i	−1.50284	−	1.00682i
$721$			7.71459i			0.287306i
$722$	−0.737592	+	3.36314i	−0.0274503	+	0.125163i
$723$	−25.0868	−	10.3913i	−0.932987	−	0.386456i
$724$	7.55092	−	6.98242i	0.280628	−	0.259500i
$725$	23.0340	−	31.4954i	0.855462	−	1.16971i
$726$	25.4647	−	36.5434i	0.945082	−	1.35625i
$727$	−3.23136			−0.119844			−0.0599222	−	0.998203i	$-0.519085\pi$
$727$	−3.23136			−0.119844			−0.0599222	+	0.998203i	$0.519085\pi$
$728$	−1.89101	+	7.25443i	−0.0700853	+	0.268867i
$729$	−27.3807	+	27.3807i	−1.01410	+	1.01410i
$730$	−1.89908	−	33.0350i	−0.0702880	−	1.22268i
$731$	61.4698	+	25.4616i	2.27354	+	0.941732i
$732$	−37.7991	−	17.4177i	−1.39710	−	0.643776i
$733$	−3.22686	−	1.33661i	−0.119187	−	0.0493689i	0.322293	−	0.946640i	$-0.395546\pi$
$733$	−3.22686	−	1.33661i	−0.119187	−	0.0493689i	−0.441480	+	0.897271i	$0.645546\pi$
$734$	10.0526	−	45.8360i	0.371047	−	1.69184i
$735$	−25.0069	−	31.8236i	−0.922393	−	1.17383i
$736$	−12.5002	+	41.2719i	−0.460763	+	1.52130i
$737$	0.591947	−	0.591947i	0.0218046	−	0.0218046i
$738$	−21.8856	+	14.0125i	−0.805619	+	0.515809i
$739$	−5.23185	+	2.16710i	−0.192457	+	0.0797182i	−0.476830	−	0.878995i	$-0.658214\pi$
$739$	−5.23185	+	2.16710i	−0.192457	+	0.0797182i	0.284374	+	0.958714i	$0.408214\pi$
$740$	−13.0089	+	21.1623i	−0.478216	+	0.777940i
$741$	−13.7037	+	33.0837i	−0.503419	+	1.21536i
$742$	3.29865	−	4.73378i	0.121097	−	0.173782i
$743$	−20.9366			−0.768089			−0.384044	−	0.923315i	$-0.625469\pi$
$743$	−20.9366			−0.768089			−0.384044	+	0.923315i	$0.625469\pi$
$744$	−0.802591	+	3.07897i	−0.0294244	+	0.112880i
$745$	7.20893	+	9.17403i	0.264115	+	0.336111i
$746$	34.1767	+	23.8155i	1.25130	+	0.871946i
$747$	14.8999	+	35.9715i	0.545159	+	1.31613i
$748$	0.188944	−	4.83028i	0.00690847	−	0.176612i
$749$	−3.77299	+	1.56282i	−0.137862	+	0.0571043i
$750$	−9.62943	−	44.8773i	−0.351617	−	1.63869i
$751$	3.37678			0.123220			0.0616102	−	0.998100i	$-0.480376\pi$
$751$	3.37678			0.123220			0.0616102	+	0.998100i	$0.480376\pi$
$752$	−23.8177	−	1.86619i	−0.868543	−	0.0680530i
$753$	15.4634	−	15.4634i	0.563519	−	0.563519i
$754$	−28.1705	+	18.0366i	−1.02591	+	0.656853i
$755$	−34.1447	+	9.57204i	−1.24265	+	0.348362i
$756$	12.3120	+	0.481602i	0.447782	+	0.0175157i
$757$	−14.8635	+	6.15665i	−0.540222	+	0.223767i	−0.636073	−	0.771628i	$-0.719442\pi$
$757$	−14.8635	+	6.15665i	−0.540222	+	0.223767i	0.0958519	+	0.995396i	$0.469442\pi$
$758$	−1.04622	−	5.85572i	−0.0380005	−	0.212689i
$759$	6.06995	−	6.06995i	0.220325	−	0.220325i
$760$	−0.471732	−	25.7370i	−0.0171115	−	0.933579i
$761$	14.6804	+	14.6804i	0.532163	+	0.532163i	0.921216	−	0.389052i	$-0.127197\pi$
$761$	14.6804	+	14.6804i	0.532163	+	0.532163i	−0.389052	+	0.921216i	$0.627197\pi$
$762$	3.99255	−	5.72956i	0.144635	−	0.207560i
$763$	1.56365	+	3.77498i	0.0566079	+	0.136663i
$764$	2.09793	+	0.966720i	0.0759005	+	0.0349747i
$765$	−65.9101	−	37.0473i	−2.38298	−	1.33945i
$766$	−6.06306	+	27.6453i	−0.219067	+	0.998865i
$767$	−17.6991	−	17.6991i	−0.639078	−	0.639078i
$768$	−39.6188	−	24.2407i	−1.42962	−	0.874710i
$769$			35.3308i			1.27406i	0.770838	+	0.637031i	$0.219838\pi$
$769$			35.3308i			1.27406i	−0.770838	+	0.637031i	$0.780162\pi$
$770$	−0.352966	+	1.01302i	−0.0127200	+	0.0365066i
$771$	30.3898	+	73.3676i	1.09446	+	2.64227i
$772$	−39.7280	+	14.6642i	−1.42984	+	0.527777i
$773$	6.35094	−	2.63065i	0.228427	−	0.0946177i	−0.265534	−	0.964101i	$-0.585548\pi$
$773$	6.35094	−	2.63065i	0.228427	−	0.0946177i	0.493962	+	0.869484i	$0.335548\pi$
$774$	−80.6749	+	14.4139i	−2.89980	+	0.518098i
$775$	−1.65528	+	1.00723i	−0.0594594	+	0.0361808i
$776$	16.9999	+	12.8616i	0.610261	+	0.461706i
$777$		−	14.1010i		−	0.505872i
$778$	41.9711	−	7.49884i	1.50474	−	0.268846i
$779$	−12.7326	−	5.27400i	−0.456191	−	0.188961i
$780$	−6.20944	+	38.8541i	−0.222334	+	1.39120i
$781$	−1.01099	−	2.44074i	−0.0361760	−	0.0873365i
$782$	−14.3901	+	65.6136i	−0.514590	+	2.34634i
$783$	38.8741	+	38.8741i	1.38925	+	1.38925i
$784$	−16.2044	−	18.9596i	−0.578728	−	0.677128i
$785$	0.502380	+	0.639326i	0.0179307	+	0.0228185i
$786$	0.624803	−	0.400039i	0.0222860	−	0.0142689i
$787$	20.8559	−	50.3506i	0.743432	−	1.79480i	0.152120	−	0.988362i	$-0.451390\pi$
$787$	20.8559	−	50.3506i	0.743432	−	1.79480i	0.591313	−	0.806442i	$-0.298610\pi$
$788$	18.3780	+	0.718885i	0.654689	+	0.0256092i
$789$	−3.74096	+	9.03147i	−0.133182	+	0.321529i
$790$	22.3686	−	1.28590i	0.795839	−	0.0457502i
$791$	7.23144	+	7.23144i	0.257120	+	0.257120i
$792$	3.01209	+	5.13606i	0.107030	+	0.182502i
$793$			21.7269i			0.771546i
$794$	29.5923	−	5.28716i	1.05019	−	0.187634i
$795$	14.8380	−	26.3980i	0.526250	−	0.936240i
$796$	−1.33149	+	0.491473i	−0.0471932	+	0.0174198i
$797$	−10.6066	+	25.6067i	−0.375706	+	0.907035i	0.617054	+	0.786921i	$0.288326\pi$
$797$	−10.6066	+	25.6067i	−0.375706	+	0.907035i	−0.992760	+	0.120114i	$0.961674\pi$
$798$	7.87902	+	12.3059i	0.278914	+	0.435624i
$799$	−37.2145			−1.31655
$800$	−7.06755	−	27.3870i	−0.249876	−	0.968278i
$801$	7.86284			0.277820
$802$	9.35028	+	14.6038i	0.330170	+	0.515678i
$803$	−1.55332	+	3.75006i	−0.0548156	+	0.132337i
$804$	−4.33864	−	11.7541i	−0.153012	−	0.414536i
$805$	7.30425	−	12.9948i	0.257441	−	0.458008i
$806$	1.63517	−	0.292150i	0.0575963	−	0.0102906i
$807$		−	6.04362i		−	0.212745i
$808$	15.1929	+	3.96031i	0.534484	+	0.139323i
$809$	7.11172	+	7.11172i	0.250035	+	0.250035i	0.820985	−	0.570950i	$-0.193425\pi$
$809$	7.11172	+	7.11172i	0.250035	+	0.250035i	−0.570950	+	0.820985i	$0.693425\pi$
$810$	13.1639	−	0.756751i	0.462533	−	0.0265895i
$811$	16.9966	−	41.0334i	0.596831	−	1.44088i	−0.279962	−	0.960011i	$-0.590322\pi$
$811$	16.9966	−	41.0334i	0.596831	−	1.44088i	0.876794	−	0.480867i	$-0.159678\pi$
$812$	−0.533505	+	13.6388i	−0.0187224	+	0.478629i
$813$	−7.12210	+	17.1943i	−0.249783	+	0.603029i
$814$	2.56625	−	1.64308i	0.0899472	−	0.0575899i
$815$	−12.4965	−	15.9030i	−0.437735	−	0.557058i
$816$	−64.4749	−	32.8235i	−2.25707	−	1.14905i
$817$	−30.7319	−	30.7319i	−1.07517	−	1.07517i
$818$	4.63540	−	21.1357i	0.162073	−	0.738992i
$819$	−5.50448	−	13.2890i	−0.192342	−	0.464355i
$820$	−14.9533	−	2.38976i	−0.522193	−	0.0834540i
$821$	−2.90704	−	1.20414i	−0.101457	−	0.0420247i	0.331378	−	0.943498i	$-0.392487\pi$
$821$	−2.90704	−	1.20414i	−0.101457	−	0.0420247i	−0.432834	+	0.901473i	$0.642487\pi$
$822$	56.2868	−	10.0566i	1.96323	−	0.350763i
$823$		−	30.7728i		−	1.07267i	−0.844005	−	0.536336i	$-0.819808\pi$
$823$		−	30.7728i		−	1.07267i	0.844005	−	0.536336i	$-0.180192\pi$
$824$	3.42504	+	24.7150i	0.119317	+	0.860988i
$825$	−1.33153	+	5.47060i	−0.0463580	+	0.190462i
$826$	−10.0544	+	1.79639i	−0.349839	+	0.0625045i
$827$	18.6089	−	7.70806i	0.647095	−	0.268036i	−0.0349015	−	0.999391i	$-0.511112\pi$
$827$	18.6089	−	7.70806i	0.647095	−	0.268036i	0.681997	+	0.731355i	$0.261112\pi$
$828$	−28.6509	−	77.6201i	−0.995686	−	2.69749i
$829$	6.42302	+	15.5065i	0.223081	+	0.538565i	0.995305	−	0.0967851i	$-0.0308559\pi$
$829$	6.42302	+	15.5065i	0.223081	+	0.538565i	−0.772225	+	0.635350i	$0.780856\pi$
$830$	−7.46509	+	21.4249i	−0.259117	+	0.743671i
$831$			68.7827i			2.38604i
$832$	−2.83741	+	24.0804i	−0.0983694	+	0.834836i
$833$	−27.4713	−	27.4713i	−0.951825	−	0.951825i
$834$	9.80981	−	44.7291i	0.339686	−	1.54884i
$835$	38.5985	+	21.6957i	1.33575	+	0.750812i
$836$	−1.32148	+	2.86782i	−0.0457043	+	0.0991855i
$837$	−1.04474	−	2.52222i	−0.0361114	−	0.0871805i
$838$	−16.5665	+	23.7740i	−0.572281	+	0.821260i
$839$	−12.9858	−	12.9858i	−0.448320	−	0.448320i	0.446476	−	0.894796i	$-0.352679\pi$
$839$	−12.9858	−	12.9858i	−0.448320	−	0.448320i	−0.894796	+	0.446476i	$0.852679\pi$
$840$	11.5592	+	11.1431i	0.398830	+	0.384473i
$841$	−22.5575	+	22.5575i	−0.777845	+	0.777845i
$842$	−4.29846	−	24.0585i	−0.148135	−	0.829111i
$843$	81.6412	−	33.8169i	2.81187	−	1.16472i
$844$	−0.543942	+	13.9057i	−0.0187233	+	0.478653i
$845$	−8.21144	+	2.30197i	−0.282482	+	0.0791903i
$846$	38.6036	−	24.7165i	1.32722	−	0.849769i
$847$	−6.70907	+	6.70907i	−0.230526	+	0.230526i
$848$	8.46613	−	16.6300i	0.290728	−	0.571075i
$849$	47.9881			1.64695
$850$	−14.3078	−	41.6703i	−0.490754	−	1.42928i
$851$	−39.1207	+	16.2043i	−1.34104	+	0.555476i
$852$	−39.5097	−	1.54548i	−1.35358	−	0.0529474i
$853$	−2.11909	−	5.11595i	−0.0725564	−	0.175167i	0.883441	−	0.468543i	$-0.155221\pi$
$853$	−2.11909	−	5.11595i	−0.0725564	−	0.175167i	−0.955997	+	0.293377i	$0.905221\pi$
$854$	7.27387	+	5.06867i	0.248907	+	0.173446i
$855$	30.5155	+	38.8338i	1.04361	+	1.32809i
$856$	−11.3936	+	6.68186i	−0.389424	+	0.228381i
$857$	32.9139			1.12432			0.562158	−	0.827030i	$-0.309971\pi$
$857$	32.9139			1.12432			0.562158	+	0.827030i	$0.309971\pi$
$858$	2.75947	−	3.96002i	0.0942068	−	0.135193i
$859$	14.8856	−	35.9370i	0.507890	−	1.22615i	−0.437206	−	0.899361i	$-0.644032\pi$
$859$	14.8856	−	35.9370i	0.507890	−	1.22615i	0.945096	−	0.326793i	$-0.105968\pi$
$860$	−40.6830	−	25.0087i	−1.38728	−	0.852789i
$861$	7.94169	−	3.28956i	0.270652	−	0.112108i
$862$	33.9390	−	21.7299i	1.15597	−	0.740124i
$863$	−13.4669	+	13.4669i	−0.458418	+	0.458418i	−0.898136	−	0.439718i	$-0.855078\pi$
$863$	−13.4669	+	13.4669i	−0.458418	+	0.458418i	0.439718	+	0.898136i	$0.355078\pi$
$864$	39.6573	−	3.92325i	1.34917	−	0.133472i
$865$	−19.5868	−	24.9260i	−0.665971	−	0.847510i
$866$	0.565213	−	2.57716i	0.0192067	−	0.0875755i
$867$	−58.5266	−	24.2425i	−1.98767	−	0.823318i
$868$	0.283660	−	0.615587i	0.00962806	−	0.0208944i
$869$	−2.53923	−	1.05178i	−0.0861375	−	0.0356793i
$870$	4.11145	+	71.5200i	0.139391	+	2.42475i
$871$	−4.62507	+	4.62507i	−0.156714	+	0.156714i
$872$	6.68539	+	11.3996i	0.226396	+	0.386038i
$873$	−40.9002			−1.38426
$874$	25.0862	−	36.0003i	0.848553	−	1.21773i
$875$	0.337898	+	9.77152i	0.0114230	+	0.330338i
$876$	41.2454	+	44.6035i	1.39355	+	1.50701i
$877$	5.05542	+	2.09402i	0.170709	+	0.0707101i	0.466401	−	0.884573i	$-0.345550\pi$
$877$	5.05542	+	2.09402i	0.170709	+	0.0707101i	−0.295692	+	0.955283i	$0.595550\pi$
$878$	1.47054	−	6.70511i	0.0496282	−	0.226286i
$879$			53.8473i			1.81622i
$880$	−0.681037	+	3.40208i	−0.0229577	+	0.114684i
$881$		−	13.0070i		−	0.438219i	−0.975700	−	0.219109i	$-0.929685\pi$
$881$		−	13.0070i		−	0.438219i	0.975700	−	0.219109i	$-0.0703151\pi$
$882$	46.7422	+	10.2513i	1.57389	+	0.345180i
$883$	−52.5833	−	21.7807i	−1.76957	−	0.732980i	−0.994929	−	0.100579i	$-0.967931\pi$
$883$	−52.5833	−	21.7807i	−1.76957	−	0.732980i	−0.774641	−	0.632401i	$-0.782069\pi$
$884$	−1.47628	+	37.7405i	−0.0496526	+	1.26935i
$885$	−51.6164	+	14.4700i	−1.73507	+	0.486404i
$886$	−47.5147	−	33.1098i	−1.59629	−	1.11235i
$887$	−8.93335			−0.299953			−0.149976	−	0.988690i	$-0.547920\pi$
$887$	−8.93335			−0.299953			−0.149976	+	0.988690i	$0.547920\pi$
$888$	−6.26043	−	45.1750i	−0.210086	−	1.51597i
$889$	−1.05190	+	1.05190i	−0.0352796	+	0.0352796i
$890$	3.42043	+	3.04855i	0.114653	+	0.102187i
$891$	−1.49434	−	0.618975i	−0.0500622	−	0.0207364i
$892$	−10.3841	−	28.1324i	−0.347687	−	0.941944i
$893$	22.4587	+	9.30272i	0.751553	+	0.311304i
$894$	−20.9237	−	4.58891i	−0.699794	−	0.153476i
$895$	22.5468	+	2.70444i	0.753655	+	0.0903994i
$896$	7.39983	+	6.56762i	0.247211	+	0.219409i
$897$	−47.4265	+	47.4265i	−1.58352	+	1.58352i
$898$	−7.38875	−	11.5402i	−0.246566	−	0.385100i
$899$	2.79404	−	1.15733i	0.0931863	−	0.0385990i
$900$	42.5178	+	33.7230i	1.41726	+	1.12410i
$901$	11.1239	−	26.8554i	0.370589	−	0.894682i
$902$	1.52405	+	1.06201i	0.0507453	+	0.0353610i
$903$	27.1083			0.902106
$904$	26.3777	+	19.9566i	0.877309	+	0.663747i
$905$	−9.04104	+	7.10443i	−0.300534	+	0.236159i
$906$	37.2215	−	53.4152i	1.23660	−	1.77460i
$907$	4.76104	+	11.4942i	0.158088	+	0.381657i	0.983001	−	0.183602i	$-0.0587759\pi$
$907$	4.76104	+	11.4942i	0.158088	+	0.381657i	−0.824913	+	0.565260i	$0.808776\pi$
$908$	−38.1616	+	35.2885i	−1.26644	+	1.17109i
$909$	−27.8310	+	11.5280i	−0.923096	+	0.382359i
$910$	2.75784	−	7.91503i	0.0914214	−	0.262381i
$911$	36.2403			1.20069			0.600347	−	0.799740i	$-0.295029\pi$
$911$	36.2403			1.20069			0.600347	+	0.799740i	$0.295029\pi$
$912$	30.7052	+	35.9260i	1.01675	+	1.18963i
$913$	1.96796	−	1.96796i	0.0651301	−	0.0651301i
$914$	16.4001	+	25.6145i	0.542466	+	0.847253i
$915$	40.5629	+	22.7999i	1.34097	+	0.753743i
$916$	9.11000	−	8.42413i	0.301003	−	0.278341i
$917$	−0.146009	+	0.0604788i	−0.00482163	+	0.00199719i
$918$	61.1078	−	10.9179i	2.01686	−	0.360346i
$919$	−6.21426	+	6.21426i	−0.204989	+	0.204989i	−0.802134	−	0.597144i	$-0.796302\pi$
$919$	−6.21426	+	6.21426i	−0.204989	+	0.204989i	0.597144	+	0.802134i	$0.296302\pi$
$920$	17.6311	−	44.8740i	0.581279	−	1.47945i
$921$	−11.6872	−	11.6872i	−0.385106	−	0.385106i
$922$	−10.1878	−	7.09919i	−0.335517	−	0.233799i
$923$	7.89916	+	19.0703i	0.260004	+	0.627705i
$924$	−0.682003	−	1.84766i	−0.0224362	−	0.0607837i
$925$	16.3949	−	22.4175i	0.539062	−	0.737084i
$926$	−18.4493	−	4.04623i	−0.606281	−	0.132967i
$927$	−33.8512	−	33.8512i	−1.11182	−	1.11182i
$928$	4.34606	+	43.9312i	0.142666	+	1.44211i
$929$		−	33.6518i		−	1.10408i	−0.833818	−	0.552040i	$-0.813850\pi$
$929$		−	33.6518i		−	1.10408i	0.833818	−	0.552040i	$-0.186150\pi$
$930$	1.17049	−	3.35934i	0.0383820	−	0.110157i
$931$	9.71164	+	23.4460i	0.318286	+	0.768411i
$932$	−2.12193	+	4.60492i	−0.0695061	+	0.150839i
$933$	−75.5984	+	31.3139i	−2.47498	+	1.02517i
$934$	0.911873	+	5.10376i	0.0298374	+	0.167000i
$935$	−0.643650	+	5.36608i	−0.0210496	+	0.175490i
$936$	−23.5344	−	40.1297i	−0.769247	−	1.31168i
$937$			32.8399i			1.07283i	0.843954	+	0.536416i	$0.180222\pi$
$937$			32.8399i			1.07283i	−0.843954	+	0.536416i	$0.819778\pi$
$938$	0.469427	+	2.62739i	0.0153273	+	0.0857873i
$939$	−47.6992	−	19.7577i	−1.55660	−	0.644767i
$940$	26.3759	+	4.21526i	0.860288	+	0.137486i
$941$	−15.6684	−	37.8268i	−0.510775	−	1.23312i	−0.943434	−	0.331561i	$-0.892425\pi$
$941$	−15.6684	−	37.8268i	−0.510775	−	1.23312i	0.432659	−	0.901558i	$-0.357575\pi$
$942$	−1.45815	−	0.319795i	−0.0475090	−	0.0104195i
$943$	−18.2525	−	18.2525i	−0.594383	−	0.594383i
$944$	−31.4135	+	10.2189i	−1.02242	+	0.332597i
$945$	−13.6777	−	1.64061i	−0.444935	−	0.0533691i
$946$	3.15871	+	4.93345i	0.102698	+	0.160400i
$947$	10.0468	−	24.2551i	0.326476	−	0.788183i	−0.672373	−	0.740213i	$-0.734725\pi$
$947$	10.0468	−	24.2551i	0.326476	−	0.788183i	0.998849	−	0.0479704i	$-0.0152753\pi$
$948$	−30.2018	+	27.9280i	−0.980910	+	0.907059i
$949$	12.1366	−	29.3004i	0.393971	−	0.951131i
$950$	−1.78188	+	28.7244i	−0.0578117	+	0.931944i
$951$	2.89705	+	2.89705i	0.0939433	+	0.0939433i
$952$	12.2906	+	9.29870i	0.398340	+	0.301373i
$953$		−	26.6062i		−	0.861859i	−0.902386	−	0.430930i	$-0.858186\pi$
$953$		−	26.6062i		−	0.861859i	0.902386	−	0.430930i	$-0.141814\pi$
$954$	6.29726	+	35.2459i	0.203881	+	1.14113i
$955$	−2.25133	−	1.26545i	−0.0728513	−	0.0409489i
$956$	−0.822085	−	0.378814i	−0.0265881	−	0.0122517i
$957$	3.36291	−	8.11878i	0.108707	−	0.262443i
$958$	7.86222	−	5.03389i	0.254017	−	0.162638i
$959$	−12.1801			−0.393316
$960$	41.9790	+	30.5668i	1.35487	+	0.986541i
$961$	30.8498			0.995156
$962$	−20.0510	+	12.8379i	−0.646469	+	0.413910i
$963$	9.69809	−	23.4133i	0.312517	−	0.754482i
$964$	16.9909	+	7.82936i	0.547241	+	0.252167i
$965$	45.5889	−	12.7803i	1.46756	−	0.411412i
$966$	4.81361	+	26.9418i	0.154875	+	0.866839i
$967$			1.43707i			0.0462130i	0.999733	+	0.0231065i	$0.00735568\pi$
$967$			1.43707i			0.0462130i	−0.999733	+	0.0231065i	$0.992644\pi$
$968$	−18.5150	+	24.4723i	−0.595095	+	0.786568i
$969$	52.0546	+	52.0546i	1.67223	+	1.67223i
$970$	−17.7921	−	15.8576i	−0.571269	−	0.509158i
$971$	13.2466	−	31.9801i	0.425103	−	1.02629i	−0.555717	−	0.831372i	$-0.687556\pi$
$971$	13.2466	−	31.9801i	0.425103	−	1.02629i	0.980820	−	0.194918i	$-0.0624440\pi$
$972$	13.2598	−	12.2615i	0.425307	−	0.393287i
$973$	−3.73295	+	9.01213i	−0.119673	+	0.288916i
$974$	8.91025	+	13.9165i	0.285503	+	0.445914i
$975$	10.4037	−	42.7435i	0.333185	−	1.36889i
$976$	25.5534	+	13.0090i	0.817945	+	0.416407i
$977$	21.9502	+	21.9502i	0.702249	+	0.702249i	0.964893	−	0.262644i	$-0.0845944\pi$
$977$	21.9502	+	21.9502i	0.702249	+	0.702249i	−0.262644	+	0.964893i	$0.584594\pi$
$978$	36.2709	+	7.95479i	1.15981	+	0.254366i
$979$	−0.215084	−	0.519259i	−0.00687411	−	0.0165956i
$980$	16.3588	+	22.5821i	0.522562	+	0.721359i
$981$	−23.4256	−	9.70321i	−0.747922	−	0.309800i
$982$	1.78954	+	10.0161i	0.0571064	+	0.319625i
$983$			50.5161i			1.61121i	0.592451	+	0.805607i	$0.298160\pi$
$983$			50.5161i			1.61121i	−0.592451	+	0.805607i	$0.701840\pi$
$984$	23.9821	−	14.0645i	0.764521	−	0.448360i
$985$	−20.4166	−	2.44893i	−0.650527	−	0.0780294i
$986$	12.0946	+	67.6935i	0.385170	+	2.15580i
$987$	−14.0082	+	5.80239i	−0.445886	+	0.184692i
$988$	10.3251	−	22.4072i	0.328486	−	0.712866i
$989$	−31.1517	−	75.2068i	−0.990565	−	2.39144i
$990$	−2.89627	−	5.99387i	−0.0920496	−	0.190498i
$991$			13.9579i			0.443388i	0.975116	+	0.221694i	$0.0711586\pi$
$991$			13.9579i			0.443388i	−0.975116	+	0.221694i	$0.928841\pi$
$992$	0.635451	−	2.09807i	0.0201756	−	0.0666139i
$993$	−10.7209	−	10.7209i	−0.340219	−	0.340219i
$994$	8.22725	+	1.80437i	0.260953	+	0.0572311i
$995$	1.52792	−	0.428332i	0.0484382	−	0.0135790i
$996$	−14.4241	−	39.0774i	−0.457045	−	1.23821i
$997$	−21.4464	−	51.7763i	−0.679216	−	1.63977i	−0.765449	−	0.643497i	$-0.777483\pi$
$997$	−21.4464	−	51.7763i	−0.679216	−	1.63977i	0.0862334	−	0.996275i	$-0.472517\pi$
$998$	13.7727	+	9.59724i	0.435966	+	0.303795i
$999$	27.6695	+	27.6695i	0.875424	+	0.875424i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	160.2.u.a.43.5	✓	88
4.3	odd	2		640.2.u.a.463.22		88
5.2	odd	4		160.2.ba.a.107.8	yes	88
5.3	odd	4		800.2.bb.b.107.15		88
5.4	even	2		800.2.v.b.43.18		88
20.7	even	4		640.2.ba.a.207.1		88
32.3	odd	8		160.2.ba.a.3.8	yes	88
32.29	even	8		640.2.ba.a.303.1		88
160.3	even	8		800.2.v.b.707.18		88
160.67	even	8	inner	160.2.u.a.67.5	yes	88
160.99	odd	8		800.2.bb.b.643.15		88
160.157	odd	8		640.2.u.a.47.22		88

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
160.2.u.a.43.5	✓	88	1.1	even	1	trivial
160.2.u.a.67.5	yes	88	160.67	even	8	inner
160.2.ba.a.3.8	yes	88	32.3	odd	8
160.2.ba.a.107.8	yes	88	5.2	odd	4
640.2.u.a.47.22		88	160.157	odd	8
640.2.u.a.463.22		88	4.3	odd	2
640.2.ba.a.207.1		88	20.7	even	4
640.2.ba.a.303.1		88	32.29	even	8
800.2.v.b.43.18		88	5.4	even	2
800.2.v.b.707.18		88	160.3	even	8
800.2.bb.b.107.15		88	5.3	odd	4
800.2.bb.b.643.15		88	160.99	odd	8

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:	\( N \)	\(=\)	\( 160 = 2^{5} \cdot 5 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	160.u (of order \(8\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.19101 + 0.762560i) q^{2} +(-1.11089 + 2.68192i) q^{3} +(0.837005 - 1.81643i) q^{4} +(-1.09565 + 1.94924i) q^{5} +(-0.722048 - 4.04131i) q^{6} +0.874514i q^{7} +(0.388258 + 2.80165i) q^{8} +(-3.83732 - 3.83732i) q^{9} +O(q^{10})\)	\(q+(-1.19101 + 0.762560i) q^{2} +(-1.11089 + 2.68192i) q^{3} +(0.837005 - 1.81643i) q^{4} +(-1.09565 + 1.94924i) q^{5} +(-0.722048 - 4.04131i) q^{6} +0.874514i q^{7} +(0.388258 + 2.80165i) q^{8} +(-3.83732 - 3.83732i) q^{9} +(-0.181489 - 3.15707i) q^{10} +(-0.148447 + 0.358383i) q^{11} +(3.94171 + 4.26264i) q^{12} +(1.15986 - 2.80016i) q^{13} +(-0.666869 - 1.04155i) q^{14} +(-4.01058 - 5.10384i) q^{15} +(-2.59885 - 3.04072i) q^{16} +(-4.40583 - 4.40583i) q^{17} +(7.49647 + 1.64410i) q^{18} +(1.55754 + 3.76024i) q^{19} +(2.62361 + 3.62170i) q^{20} +(-2.34538 - 0.971488i) q^{21} +(-0.0964866 - 0.540037i) q^{22} +7.62321i q^{23} +(-7.94513 - 2.07105i) q^{24} +(-2.59911 - 4.27137i) q^{25} +(0.753880 + 4.21948i) q^{26} +(6.50846 - 2.69589i) q^{27} +(1.58849 + 0.731972i) q^{28} +(2.98643 + 7.20988i) q^{29} +(8.66862 + 3.02041i) q^{30} -0.387529i q^{31} +(5.41398 + 1.63975i) q^{32} +(-0.796247 - 0.796247i) q^{33} +(8.60708 + 1.88767i) q^{34} +(-1.70464 - 0.958159i) q^{35} +(-10.1821 + 3.75837i) q^{36} +(2.12565 + 5.13178i) q^{37} +(-4.72246 - 3.29076i) q^{38} +(6.22133 + 6.22133i) q^{39} +(-5.88650 - 2.31282i) q^{40} +(-2.39433 + 2.39433i) q^{41} +(3.53419 - 0.631441i) q^{42} +(-9.86550 + 4.08643i) q^{43} +(0.526727 + 0.569612i) q^{44} +(11.6842 - 3.27552i) q^{45} +(-5.81315 - 9.07931i) q^{46} +(4.22332 - 4.22332i) q^{47} +(11.0420 - 3.59200i) q^{48} +6.23523 q^{49} +(6.35274 + 3.10526i) q^{50} +(16.7105 - 6.92170i) q^{51} +(-4.11548 - 4.45056i) q^{52} +(1.78531 + 4.31011i) q^{53} +(-5.69586 + 8.17393i) q^{54} +(-0.535930 - 0.682021i) q^{55} +(-2.45008 + 0.339537i) q^{56} -11.8149 q^{57} +(-9.05483 - 6.30970i) q^{58} +(3.16038 - 7.62983i) q^{59} +(-12.6277 + 3.01301i) q^{60} +(-6.62288 + 2.74329i) q^{61} +(0.295514 + 0.461550i) q^{62} +(3.35579 - 3.35579i) q^{63} +(-7.69851 + 2.17553i) q^{64} +(4.18739 + 5.32884i) q^{65} +(1.55552 + 0.341151i) q^{66} +(-1.99380 - 0.825859i) q^{67} +(-11.6906 + 4.31518i) q^{68} +(-20.4449 - 8.46854i) q^{69} +(2.76090 - 0.158715i) q^{70} +(-4.81570 + 4.81570i) q^{71} +(9.26097 - 12.2407i) q^{72} +10.4638 q^{73} +(-6.44497 - 4.49106i) q^{74} +(14.3428 - 2.22560i) q^{75} +(8.13390 + 0.318170i) q^{76} +(-0.313411 - 0.129819i) q^{77} +(-12.1538 - 2.66552i) q^{78} +7.08525i q^{79} +(8.77453 - 1.73422i) q^{80} +4.16967i q^{81} +(1.02585 - 4.67750i) q^{82} +(-6.62851 - 2.74562i) q^{83} +(-3.72773 + 3.44708i) q^{84} +(13.4153 - 3.76080i) q^{85} +(8.63376 - 12.3900i) q^{86} -22.6539 q^{87} +(-1.06170 - 0.276752i) q^{88} +(-1.02452 + 1.02452i) q^{89} +(-11.4182 + 12.8111i) q^{90} +(2.44878 + 1.01432i) q^{91} +(13.8470 + 6.38066i) q^{92} +(1.03932 + 0.430501i) q^{93} +(-1.80948 + 8.25055i) q^{94} +(-9.03616 - 1.08387i) q^{95} +(-10.4120 + 12.6983i) q^{96} +(5.32927 - 5.32927i) q^{97} +(-7.42621 + 4.75473i) q^{98} +(1.94487 - 0.805590i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 88 q - 4 q^{2} - 4 q^{3} - 4 q^{5} - 8 q^{6} - 16 q^{8}+O(q^{10}) \) 88 * q - 4 * q^2 - 4 * q^3 - 4 * q^5 - 8 * q^6 - 16 * q^8	\( 88 q - 4 q^{2} - 4 q^{3} - 4 q^{5} - 8 q^{6} - 16 q^{8} - 16 q^{10} - 8 q^{11} - 20 q^{12} - 4 q^{13} + 16 q^{14} - 8 q^{15} - 8 q^{16} + 4 q^{18} + 16 q^{19} + 24 q^{20} - 8 q^{21} - 20 q^{22} - 32 q^{24} - 4 q^{25} - 8 q^{26} - 16 q^{27} + 12 q^{28} + 8 q^{30} - 24 q^{32} - 8 q^{33} + 8 q^{34} - 8 q^{35} - 8 q^{36} - 4 q^{37} - 60 q^{38} + 16 q^{40} - 8 q^{41} + 60 q^{42} - 36 q^{43} + 16 q^{44} - 4 q^{45} - 8 q^{46} - 8 q^{47} - 24 q^{48} - 40 q^{49} - 12 q^{50} + 8 q^{51} - 56 q^{52} - 4 q^{53} - 56 q^{54} - 36 q^{55} + 40 q^{56} - 8 q^{57} - 36 q^{58} + 12 q^{60} - 40 q^{61} + 40 q^{62} + 56 q^{63} + 48 q^{64} - 8 q^{65} + 72 q^{66} + 20 q^{67} + 8 q^{68} + 24 q^{69} + 60 q^{70} + 24 q^{71} + 24 q^{72} - 8 q^{73} + 8 q^{75} + 56 q^{76} + 24 q^{77} + 32 q^{78} - 8 q^{80} + 84 q^{82} - 44 q^{83} + 56 q^{84} - 4 q^{85} + 24 q^{86} - 120 q^{87} + 104 q^{88} + 148 q^{90} - 8 q^{91} + 124 q^{92} + 8 q^{93} - 32 q^{94} + 24 q^{96} - 8 q^{97} - 16 q^{98}+O(q^{100}) \) 88 * q - 4 * q^2 - 4 * q^3 - 4 * q^5 - 8 * q^6 - 16 * q^8 - 16 * q^10 - 8 * q^11 - 20 * q^12 - 4 * q^13 + 16 * q^14 - 8 * q^15 - 8 * q^16 + 4 * q^18 + 16 * q^19 + 24 * q^20 - 8 * q^21 - 20 * q^22 - 32 * q^24 - 4 * q^25 - 8 * q^26 - 16 * q^27 + 12 * q^28 + 8 * q^30 - 24 * q^32 - 8 * q^33 + 8 * q^34 - 8 * q^35 - 8 * q^36 - 4 * q^37 - 60 * q^38 + 16 * q^40 - 8 * q^41 + 60 * q^42 - 36 * q^43 + 16 * q^44 - 4 * q^45 - 8 * q^46 - 8 * q^47 - 24 * q^48 - 40 * q^49 - 12 * q^50 + 8 * q^51 - 56 * q^52 - 4 * q^53 - 56 * q^54 - 36 * q^55 + 40 * q^56 - 8 * q^57 - 36 * q^58 + 12 * q^60 - 40 * q^61 + 40 * q^62 + 56 * q^63 + 48 * q^64 - 8 * q^65 + 72 * q^66 + 20 * q^67 + 8 * q^68 + 24 * q^69 + 60 * q^70 + 24 * q^71 + 24 * q^72 - 8 * q^73 + 8 * q^75 + 56 * q^76 + 24 * q^77 + 32 * q^78 - 8 * q^80 + 84 * q^82 - 44 * q^83 + 56 * q^84 - 4 * q^85 + 24 * q^86 - 120 * q^87 + 104 * q^88 + 148 * q^90 - 8 * q^91 + 124 * q^92 + 8 * q^93 - 32 * q^94 + 24 * q^96 - 8 * q^97 - 16 * q^98

Introduction

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