LMFDB - Embedded newform 232.2.o.a.109.21

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [232,2,Mod(5,232)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(232, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([0, 7, 11]))

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

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

chi := DirichletCharacter("232.5");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 232 = 2^{3} \cdot 29 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	232.o (of order $14$, degree $6$, 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:	$1.85252932689$
Analytic rank:	$0$
Dimension:	$168$
Relative dimension:	$28$ over $\Q(\zeta_{14})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label			109.21
Character	$\chi$	$=$	232.109
Dual form			232.2.o.a.149.21

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.763028 + 1.19071i) q^{2} +(-2.67312 - 1.28730i) q^{3} +(-0.835577 + 1.81709i) q^{4} +(1.61936 - 0.369608i) q^{5} +(-0.506856 - 4.16515i) q^{6} +(2.81623 + 1.35622i) q^{7} +(-2.80119 + 0.391560i) q^{8} +(3.61793 + 4.53674i) q^{9} +O(q^{10})$	\(q+(0.763028 + 1.19071i) q^{2} +(-2.67312 - 1.28730i) q^{3} +(-0.835577 + 1.81709i) q^{4} +(1.61936 - 0.369608i) q^{5} +(-0.506856 - 4.16515i) q^{6} +(2.81623 + 1.35622i) q^{7} +(-2.80119 + 0.391560i) q^{8} +(3.61793 + 4.53674i) q^{9} +(1.67571 + 1.64616i) q^{10} +(-3.79269 + 4.75589i) q^{11} +(4.57274 - 3.78165i) q^{12} +(3.45130 + 2.75232i) q^{13} +(0.533992 + 4.38815i) q^{14} +(-4.80453 - 1.09660i) q^{15} +(-2.60362 - 3.03663i) q^{16} +0.692681i q^{17} +(-2.64135 + 7.76955i) q^{18} +(4.80220 - 2.31262i) q^{19} +(-0.681488 + 3.25135i) q^{20} +(-5.78223 - 7.25069i) q^{21} +(-8.55681 - 0.887120i) q^{22} +(0.102586 - 0.449459i) q^{23} +(7.99197 + 2.55930i) q^{24} +(-2.01914 + 0.972364i) q^{25} +(-0.643775 + 6.20959i) q^{26} +(-1.85036 - 8.10695i) q^{27} +(-4.81755 + 3.98411i) q^{28} +(4.46096 - 3.01660i) q^{29} +(-2.36025 - 6.55753i) q^{30} +(-3.19152 + 0.728443i) q^{31} +(1.62911 - 5.41719i) q^{32} +(16.2606 - 7.83068i) q^{33} +(-0.824782 + 0.528535i) q^{34} +(5.06175 + 1.15531i) q^{35} +(-11.2667 + 2.78330i) q^{36} +(3.16095 + 3.96371i) q^{37} +(6.41786 + 3.95343i) q^{38} +(-5.68265 - 11.8001i) q^{39} +(-4.39141 + 1.66942i) q^{40} -6.49371i q^{41} +(4.22146 - 12.4174i) q^{42} +(1.17472 - 5.14677i) q^{43} +(-5.47278 - 10.8656i) q^{44} +(7.53553 + 6.00938i) q^{45} +(0.613451 - 0.220800i) q^{46} +(-1.04012 - 0.829470i) q^{47} +(3.05071 + 11.4689i) q^{48} +(1.72737 + 2.16605i) q^{49} +(-2.69846 - 1.66226i) q^{50} +(0.891692 - 1.85162i) q^{51} +(-7.88503 + 3.97154i) q^{52} +(-10.8575 + 2.47815i) q^{53} +(8.24115 - 8.38907i) q^{54} +(-4.38391 + 9.10329i) q^{55} +(-8.41984 - 2.69632i) q^{56} -15.8139 q^{57} +(6.99572 + 3.00996i) q^{58} +3.70570i q^{59} +(6.00718 - 7.81396i) q^{60} +(-9.06953 - 4.36766i) q^{61} +(-3.30258 - 3.24435i) q^{62} +(4.03607 + 17.6832i) q^{63} +(7.69336 - 2.19367i) q^{64} +(6.60617 + 3.18136i) q^{65} +(21.7313 + 13.3866i) q^{66} +(9.18080 - 7.32144i) q^{67} +(-1.25866 - 0.578788i) q^{68} +(-0.852816 + 1.06940i) q^{69} +(2.48662 + 6.90861i) q^{70} +(1.83648 - 2.30287i) q^{71} +(-11.9109 - 11.2916i) q^{72} +(1.10122 + 0.251346i) q^{73} +(-2.30773 + 6.78819i) q^{74} +6.64911 q^{75} +(0.189623 + 10.6584i) q^{76} +(-17.1311 + 8.24992i) q^{77} +(9.71452 - 15.7702i) q^{78} +(3.25794 - 2.59812i) q^{79} +(-5.33856 - 3.95508i) q^{80} +(-1.61623 + 7.08114i) q^{81} +(7.73212 - 4.95488i) q^{82} +(1.99171 + 4.13583i) q^{83} +(18.0066 - 4.44832i) q^{84} +(0.256020 + 1.12170i) q^{85} +(7.02465 - 2.52838i) q^{86} +(-15.8079 + 2.32110i) q^{87} +(8.76185 - 14.8072i) q^{88} +(0.587224 - 0.134030i) q^{89} +(-1.40561 + 13.5580i) q^{90} +(5.98688 + 12.4319i) q^{91} +(0.730989 + 0.561966i) q^{92} +(9.46902 + 2.16124i) q^{93} +(0.194015 - 1.87139i) q^{94} +(6.92171 - 5.51988i) q^{95} +(-11.3284 + 12.3836i) q^{96} +(5.41955 + 11.2538i) q^{97} +(-1.26111 + 3.70955i) q^{98} -35.2979 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 168 q - 7 q^{2} - 3 q^{4} - 7 q^{6} - 6 q^{7} - 28 q^{8} - 34 q^{9}+O(q^{10}) $ 168 * q - 7 * q^2 - 3 * q^4 - 7 * q^6 - 6 * q^7 - 28 * q^8 - 34 * q^9	$ 168 q - 7 q^{2} - 3 q^{4} - 7 q^{6} - 6 q^{7} - 28 q^{8} - 34 q^{9} - 7 q^{10} - 7 q^{14} - 14 q^{15} + 5 q^{16} - 56 q^{18} - 27 q^{20} - 12 q^{22} - 6 q^{23} + 9 q^{24} + 14 q^{25} - 7 q^{26} + 16 q^{28} - 22 q^{30} - 14 q^{31} - 42 q^{32} + 2 q^{33} - 5 q^{34} + 4 q^{36} + 58 q^{38} + 70 q^{39} - 7 q^{40} - 32 q^{42} - 14 q^{44} - 14 q^{47} - 84 q^{48} - 26 q^{49} + 42 q^{50} + 16 q^{52} + 40 q^{54} - 14 q^{55} - 7 q^{56} - 12 q^{57} + 53 q^{58} - 126 q^{60} + 57 q^{62} + 50 q^{63} - 30 q^{64} - 60 q^{65} + 133 q^{66} - 28 q^{68} - 46 q^{71} - 119 q^{72} - 84 q^{73} - 40 q^{74} - 77 q^{76} + 29 q^{78} - 154 q^{79} + 66 q^{80} - 26 q^{81} - 48 q^{82} + 63 q^{84} - 32 q^{86} - 46 q^{87} - 10 q^{88} - 14 q^{89} + 140 q^{90} + 20 q^{92} - 26 q^{94} - 14 q^{95} + 136 q^{96} + 28 q^{98}+O(q^{100}) $ 168 * q - 7 * q^2 - 3 * q^4 - 7 * q^6 - 6 * q^7 - 28 * q^8 - 34 * q^9 - 7 * q^10 - 7 * q^14 - 14 * q^15 + 5 * q^16 - 56 * q^18 - 27 * q^20 - 12 * q^22 - 6 * q^23 + 9 * q^24 + 14 * q^25 - 7 * q^26 + 16 * q^28 - 22 * q^30 - 14 * q^31 - 42 * q^32 + 2 * q^33 - 5 * q^34 + 4 * q^36 + 58 * q^38 + 70 * q^39 - 7 * q^40 - 32 * q^42 - 14 * q^44 - 14 * q^47 - 84 * q^48 - 26 * q^49 + 42 * q^50 + 16 * q^52 + 40 * q^54 - 14 * q^55 - 7 * q^56 - 12 * q^57 + 53 * q^58 - 126 * q^60 + 57 * q^62 + 50 * q^63 - 30 * q^64 - 60 * q^65 + 133 * q^66 - 28 * q^68 - 46 * q^71 - 119 * q^72 - 84 * q^73 - 40 * q^74 - 77 * q^76 + 29 * q^78 - 154 * q^79 + 66 * q^80 - 26 * q^81 - 48 * q^82 + 63 * q^84 - 32 * q^86 - 46 * q^87 - 10 * q^88 - 14 * q^89 + 140 * q^90 + 20 * q^92 - 26 * q^94 - 14 * q^95 + 136 * q^96 + 28 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/232\mathbb{Z}\right)^\times$.

$n$	$89$	$117$	$175$
$\chi(n)$	$e\left(\frac{13}{14}\right)$	$-1$	$1$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	0.763028	+	1.19071i	0.539542	+	0.841959i
$2$	0.763028	+	1.19071i	0.539542	+	0.841959i
$3$	−2.67312	−	1.28730i	−1.54332	−	0.743226i	−0.547700	−	0.836675i	$-0.684497\pi$
$3$	−2.67312	−	1.28730i	−1.54332	−	0.743226i	−0.995624	+	0.0934489i	$0.970211\pi$
$4$	−0.835577	+	1.81709i	−0.417789	+	0.908544i
$5$	1.61936	−	0.369608i	0.724199	−	0.165294i	0.155496	−	0.987837i	$-0.450303\pi$
$5$	1.61936	−	0.369608i	0.724199	−	0.165294i	0.568703	+	0.822543i	$0.307445\pi$
$6$	−0.506856	−	4.16515i	−0.206923	−	1.70042i
$7$	2.81623	+	1.35622i	1.06443	+	0.512604i	0.882309	−	0.470671i	$-0.155988\pi$
$7$	2.81623	+	1.35622i	1.06443	+	0.512604i	0.182125	+	0.983275i	$0.441702\pi$
$8$	−2.80119	+	0.391560i	−0.990371	+	0.138437i
$9$	3.61793	+	4.53674i	1.20598	+	1.51225i
$10$	1.67571	+	1.64616i	0.529906	+	0.520562i
$11$	−3.79269	+	4.75589i	−1.14354	+	1.43395i	−0.259993	+	0.965611i	$0.583720\pi$
$11$	−3.79269	+	4.75589i	−1.14354	+	1.43395i	−0.883547	+	0.468343i	$0.844851\pi$
$12$	4.57274	−	3.78165i	1.32004	−	1.09167i
$13$	3.45130	+	2.75232i	0.957218	+	0.763356i	0.971622	−	0.236540i	$-0.0760135\pi$
$13$	3.45130	+	2.75232i	0.957218	+	0.763356i	−0.0144035	+	0.999896i	$0.504585\pi$
$14$	0.533992	+	4.38815i	0.142715	+	1.17278i
$15$	−4.80453	−	1.09660i	−1.24052	−	0.283142i
$16$	−2.60362	−	3.03663i	−0.650906	−	0.759159i
$17$			0.692681i			0.168000i	0.996466	+	0.0839999i	$0.0267695\pi$
$17$			0.692681i			0.168000i	−0.996466	+	0.0839999i	$0.973230\pi$
$18$	−2.64135	+	7.76955i	−0.622573	+	1.83130i
$19$	4.80220	−	2.31262i	1.10170	−	0.530551i	0.207507	−	0.978233i	$-0.433465\pi$
$19$	4.80220	−	2.31262i	1.10170	−	0.530551i	0.894192	+	0.447683i	$0.147751\pi$
$20$	−0.681488	+	3.25135i	−0.152385	+	0.727024i
$21$	−5.78223	−	7.25069i	−1.26179	−	1.58223i
$22$	−8.55681	−	0.887120i	−1.82432	−	0.189135i
$23$	0.102586	−	0.449459i	0.0213907	−	0.0937187i	−0.963106	−	0.269123i	$-0.913266\pi$
$23$	0.102586	−	0.449459i	0.0213907	−	0.0937187i	0.984496	+	0.175404i	$0.0561233\pi$
$24$	7.99197	+	2.55930i	1.63135	+	0.522416i
$25$	−2.01914	+	0.972364i	−0.403827	+	0.194473i
$26$	−0.643775	+	6.20959i	−0.126255	+	1.21780i
$27$	−1.85036	−	8.10695i	−0.356102	−	1.56018i
$28$	−4.81755	+	3.98411i	−0.910432	+	0.752925i
$29$	4.46096	−	3.01660i	0.828379	−	0.560168i
$29$	4.46096	−	3.01660i	0.828379	−	0.560168i
$30$	−2.36025	−	6.55753i	−0.430922	−	1.19724i
$31$	−3.19152	+	0.728443i	−0.573213	+	0.130832i	−0.499295	−	0.866432i	$-0.666408\pi$
$31$	−3.19152	+	0.728443i	−0.573213	+	0.130832i	−0.0739183	+	0.997264i	$0.523550\pi$
$32$	1.62911	−	5.41719i	0.287989	−	0.957634i
$33$	16.2606	−	7.83068i	2.83060	−	1.36315i
$34$	−0.824782	+	0.528535i	−0.141449	+	0.0906430i
$35$	5.06175	+	1.15531i	0.855592	+	0.195283i
$36$	−11.2667	+	2.78330i	−1.87778	+	0.463883i
$37$	3.16095	+	3.96371i	0.519657	+	0.651629i	0.970536	−	0.240956i	$-0.0774608\pi$
$37$	3.16095	+	3.96371i	0.519657	+	0.651629i	−0.450879	+	0.892585i	$0.648889\pi$
$38$	6.41786	+	3.95343i	1.04112	+	0.641331i
$39$	−5.68265	−	11.8001i	−0.909952	−	1.88954i
$40$	−4.39141	+	1.66942i	−0.694343	+	0.263958i
$41$		−	6.49371i		−	1.01415i	−0.861903	−	0.507074i	$-0.830727\pi$
$41$		−	6.49371i		−	1.01415i	0.861903	−	0.507074i	$-0.169273\pi$
$42$	4.22146	−	12.4174i	0.651385	−	1.91605i
$43$	1.17472	−	5.14677i	0.179143	−	0.784875i	−0.802885	−	0.596135i	$-0.796702\pi$
$43$	1.17472	−	5.14677i	0.179143	−	0.784875i	0.982027	−	0.188740i	$-0.0604404\pi$
$44$	−5.47278	−	10.8656i	−0.825052	−	1.63805i
$45$	7.53553	+	6.00938i	1.12333	+	0.895826i
$46$	0.613451	−	0.220800i	0.0904485	−	0.0325551i
$47$	−1.04012	−	0.829470i	−0.151717	−	0.120991i	0.544689	−	0.838638i	$-0.316648\pi$
$47$	−1.04012	−	0.829470i	−0.151717	−	0.120991i	−0.696407	+	0.717647i	$0.745219\pi$
$48$	3.05071	+	11.4689i	0.440332	+	1.65540i
$49$	1.72737	+	2.16605i	0.246767	+	0.309436i
$50$	−2.69846	−	1.66226i	−0.381620	−	0.235079i
$51$	0.891692	−	1.85162i	0.124862	−	0.259278i
$52$	−7.88503	+	3.97154i	−1.09346	+	0.550754i
$53$	−10.8575	+	2.47815i	−1.49139	+	0.340400i	−0.889040	−	0.457830i	$-0.848627\pi$
$53$	−10.8575	+	2.47815i	−1.49139	+	0.340400i	−0.602352	+	0.798231i	$0.705770\pi$
$54$	8.24115	−	8.38907i	1.12148	−	1.14161i
$55$	−4.38391	+	9.10329i	−0.591127	+	1.22749i
$56$	−8.41984	−	2.69632i	−1.12515	−	0.360311i
$57$	−15.8139			−2.09460
$58$	6.99572	+	3.00996i	0.918584	+	0.395227i
$59$			3.70570i			0.482442i	0.970470	+	0.241221i	$0.0775478\pi$
$59$			3.70570i			0.482442i	−0.970470	+	0.241221i	$0.922452\pi$
$60$	6.00718	−	7.81396i	0.775523	−	1.00878i
$61$	−9.06953	−	4.36766i	−1.16123	−	0.559221i	−0.248845	−	0.968543i	$-0.580051\pi$
$61$	−9.06953	−	4.36766i	−1.16123	−	0.559221i	−0.912390	+	0.409322i	$0.865765\pi$
$62$	−3.30258	−	3.24435i	−0.419428	−	0.412032i
$63$	4.03607	+	17.6832i	0.508498	+	2.22787i
$64$	7.69336	−	2.19367i	0.961670	−	0.274209i
$65$	6.60617	+	3.18136i	0.819394	+	0.394599i
$66$	21.7313	+	13.3866i	2.67494	+	1.64778i
$67$	9.18080	−	7.32144i	1.12161	−	0.894457i	0.126380	−	0.991982i	$-0.459664\pi$
$67$	9.18080	−	7.32144i	1.12161	−	0.894457i	0.995233	+	0.0975254i	$0.0310927\pi$
$68$	−1.25866	−	0.578788i	−0.152635	−	0.0701884i
$69$	−0.852816	+	1.06940i	−0.102667	+	0.128740i
$70$	2.48662	+	6.90861i	0.297208	+	0.825737i
$71$	1.83648	−	2.30287i	0.217950	−	0.273301i	−0.660822	−	0.750543i	$-0.729792\pi$
$71$	1.83648	−	2.30287i	0.217950	−	0.273301i	0.878772	+	0.477242i	$0.158364\pi$
$72$	−11.9109	−	11.2916i	−1.40371	−	1.33073i
$73$	1.10122	+	0.251346i	0.128888	+	0.0294179i	0.286478	−	0.958087i	$-0.407515\pi$
$73$	1.10122	+	0.251346i	0.128888	+	0.0294179i	−0.157590	+	0.987505i	$0.550373\pi$
$74$	−2.30773	+	6.78819i	−0.268268	+	0.789111i
$75$	6.64911			0.767773
$76$	0.189623	+	10.6584i	0.0217513	+	1.22260i
$77$	−17.1311	+	8.24992i	−1.95227	+	0.940165i
$78$	9.71452	−	15.7702i	1.09995	−	1.78563i
$79$	3.25794	−	2.59812i	0.366547	−	0.292312i	−0.422843	−	0.906203i	$-0.638968\pi$
$79$	3.25794	−	2.59812i	0.366547	−	0.292312i	0.789391	+	0.613891i	$0.210397\pi$
$80$	−5.33856	−	3.95508i	−0.596869	−	0.442191i
$81$	−1.61623	+	7.08114i	−0.179581	+	0.786794i
$82$	7.73212	−	4.95488i	0.853870	−	0.547175i
$83$	1.99171	+	4.13583i	0.218619	+	0.453967i	0.981217	−	0.192905i	$-0.0617910\pi$
$83$	1.99171	+	4.13583i	0.218619	+	0.453967i	−0.762598	+	0.646872i	$0.776077\pi$
$84$	18.0066	−	4.44832i	1.96469	−	0.485351i
$85$	0.256020	+	1.12170i	0.0277693	+	0.121665i
$86$	7.02465	−	2.52838i	0.757487	−	0.272642i
$87$	−15.8079	+	2.32110i	−1.69479	+	0.248848i
$88$	8.76185	−	14.8072i	0.934016	−	1.57845i
$89$	0.587224	−	0.134030i	0.0622457	−	0.0142072i	−0.191285	−	0.981535i	$-0.561265\pi$
$89$	0.587224	−	0.134030i	0.0622457	−	0.0142072i	0.253530	+	0.967327i	$0.418408\pi$
$90$	−1.40561	+	13.5580i	−0.148164	+	1.42913i
$91$	5.98688	+	12.4319i	0.627596	+	1.30322i
$92$	0.730989	+	0.561966i	0.0762108	+	0.0585890i
$93$	9.46902	+	2.16124i	0.981892	+	0.224110i
$94$	0.194015	−	1.87139i	0.0200111	−	0.193019i
$95$	6.92171	−	5.51988i	0.710153	−	0.566328i
$96$	−11.3284	+	12.3836i	−1.15620	+	1.26390i
$97$	5.41955	+	11.2538i	0.550272	+	1.14265i	0.971794	+	0.235833i	$0.0757819\pi$
$97$	5.41955	+	11.2538i	0.550272	+	1.14265i	−0.421522	+	0.906818i	$0.638504\pi$
$98$	−1.26111	+	3.70955i	−0.127391	+	0.374721i
$99$	−35.2979			−3.54757
$100$	−0.0797291	−	4.48143i	−0.00797291	−	0.448143i
$101$	1.34873	−	5.90919i	0.134204	−	0.587986i	−0.862442	−	0.506156i	$-0.831066\pi$
$101$	1.34873	−	5.90919i	0.134204	−	0.587986i	0.996646	−	0.0818307i	$-0.0260767\pi$
$102$	2.88512	−	0.351090i	0.285670	−	0.0347631i
$103$	3.69098	−	4.62834i	0.363683	−	0.456044i	−0.566000	−	0.824405i	$-0.691510\pi$
$103$	3.69098	−	4.62834i	0.363683	−	0.456044i	0.929683	+	0.368361i	$0.120081\pi$
$104$	−10.7455	−	6.35839i	−1.05368	−	0.623491i
$105$	−12.0434	−	9.60430i	−1.17532	−	0.937284i
$106$	−11.2353	−	11.0372i	−1.09127	−	1.07203i
$107$	−4.10408	+	3.27290i	−0.396757	+	0.316403i	−0.801464	−	0.598044i	$-0.795945\pi$
$107$	−4.10408	+	3.27290i	−0.396757	+	0.316403i	0.404707	+	0.914446i	$0.367374\pi$
$108$	16.2772	+	3.41172i	1.56627	+	0.328293i
$109$	4.20069	−	8.72282i	0.402353	−	0.835494i	−0.597092	−	0.802173i	$-0.703677\pi$
$109$	4.20069	−	8.72282i	0.402353	−	0.835494i	0.999445	−	0.0333215i	$-0.0106085\pi$
$110$	−14.1844	+	1.72610i	−1.35243	+	0.164577i
$111$	−3.34709	−	14.6646i	−0.317692	−	1.39190i
$112$	−3.21404	−	12.0830i	−0.303698	−	1.14173i
$113$	−2.85923	+	5.93726i	−0.268974	+	0.558530i	−0.991083	−	0.133250i	$-0.957459\pi$
$113$	−2.85923	+	5.93726i	−0.268974	+	0.558530i	0.722109	+	0.691780i	$0.243173\pi$
$114$	−12.0664	−	18.8297i	−1.13012	−	1.76357i
$115$		−	0.765752i		−	0.0714067i
$116$	1.75395	+	10.6266i	0.162850	+	0.986651i
$117$			25.6153i			2.36814i
$118$	−4.41242	+	2.82756i	−0.406196	+	0.260298i
$119$	−0.939431	+	1.95075i	−0.0861175	+	0.178825i
$120$	13.8878	+	1.19053i	1.26778	+	0.108680i
$121$	−5.78620	−	25.3510i	−0.526018	−	2.30464i
$122$	−1.71970	−	14.1318i	−0.155694	−	1.27943i
$123$	−8.35938	+	17.3584i	−0.753740	+	1.56516i
$124$	1.34311	−	6.40794i	0.120615	−	0.575450i
$125$	−9.40343	+	7.49898i	−0.841068	+	0.670730i
$126$	−17.9759	+	18.2986i	−1.60142	+	1.63017i
$127$	12.2705	+	9.78539i	1.08883	+	0.868313i	0.991905	−	0.126979i	$-0.0405280\pi$
$127$	12.2705	+	9.78539i	1.08883	+	0.868313i	0.0969248	+	0.995292i	$0.469099\pi$
$128$	8.48227	+	7.48673i	0.749734	+	0.661739i
$129$	−9.76561	+	12.2457i	−0.859814	+	1.07817i
$130$	1.25261	+	10.2935i	0.109861	+	0.902799i
$131$	3.31046	−	14.5041i	0.289236	−	1.26723i	−0.596340	−	0.802732i	$-0.703379\pi$
$131$	3.31046	−	14.5041i	0.289236	−	1.26723i	0.885576	−	0.464495i	$-0.153764\pi$
$132$	0.642077	+	36.0901i	0.0558857	+	3.14124i
$133$	16.6605			1.44465
$134$	15.7229	+	5.34520i	1.35825	+	0.461755i
$135$	−5.99278	−	12.4441i	−0.515777	−	1.07102i
$136$	−0.271226	−	1.94033i	−0.0232575	−	0.166382i
$137$	7.98428	−	6.36725i	0.682143	−	0.543991i	−0.219961	−	0.975509i	$-0.570593\pi$
$137$	7.98428	−	6.36725i	0.682143	−	0.543991i	0.902105	+	0.431517i	$0.142022\pi$
$138$	−1.92406	−	0.199476i	−0.163787	−	0.0169805i
$139$	15.1364	+	3.45478i	1.28385	+	0.293031i	0.809403	−	0.587253i	$-0.199791\pi$
$139$	15.1364	+	3.45478i	1.28385	+	0.293031i	0.474448	+	0.880284i	$0.342648\pi$
$140$	−6.32879	+	8.23230i	−0.534880	+	0.695756i
$141$	1.71259	+	3.55622i	0.144226	+	0.299488i
$142$	4.14334	+	0.429557i	0.347701	+	0.0360476i
$143$	−26.1794	+	5.97528i	−2.18923	+	0.499678i
$144$	4.35670	−	22.7983i	0.363058	−	1.89986i
$145$	6.10893	−	6.53375i	0.507319	−	0.542599i
$146$	0.540981	+	1.50302i	0.0447719	+	0.124391i
$147$	−1.82909	−	8.01375i	−0.150861	−	0.660963i
$148$	−9.84363	+	2.43175i	−0.809141	+	0.199888i
$149$	−3.39464	−	7.04904i	−0.278099	−	0.577480i	0.714399	−	0.699739i	$-0.246700\pi$
$149$	−3.39464	−	7.04904i	−0.278099	−	0.577480i	−0.992498	+	0.122259i	$0.960986\pi$
$150$	5.07346	+	7.91716i	0.414246	+	0.646433i
$151$	1.99902	−	8.75829i	0.162678	−	0.712739i	−0.826122	−	0.563492i	$-0.809458\pi$
$151$	1.99902	−	8.75829i	0.162678	−	0.712739i	0.988800	−	0.149248i	$-0.0476851\pi$
$152$	−12.5464	+	8.35843i	−1.01764	+	0.677958i
$153$	−3.14251	+	2.50607i	−0.254057	+	0.202604i
$154$	−22.8948	−	14.1033i	−1.84491	−	1.13647i
$155$	−4.89897	+	2.35922i	−0.393495	+	0.189497i
$156$	26.1902	−	0.465949i	2.09689	−	0.0373058i
$157$	8.64154			0.689670			0.344835	−	0.938663i	$-0.387935\pi$
$157$	8.64154			0.689670			0.344835	+	0.938663i	$0.387935\pi$
$158$	5.57951	+	1.89682i	0.443882	+	0.150903i
$159$	32.2135	+	7.35252i	2.55469	+	0.583092i
$160$	0.635880	−	9.37451i	0.0502707	−	0.741120i
$161$	0.898473	−	1.12665i	0.0708096	−	0.0887924i
$162$	−9.66481	+	3.47866i	−0.759339	+	0.273309i
$163$	−14.8162	+	18.5789i	−1.16049	+	1.45521i	−0.294151	+	0.955759i	$0.595037\pi$
$163$	−14.8162	+	18.5789i	−1.16049	+	1.45521i	−0.866341	+	0.499453i	$0.833534\pi$
$164$	11.7996	+	5.42599i	0.921398	+	0.423699i
$165$	23.4374	−	18.6907i	1.82460	−	1.45507i
$166$	−3.40484	+	5.52731i	−0.264267	+	0.429002i
$167$	8.88914	+	4.28079i	0.687863	+	0.331257i	0.744958	−	0.667112i	$-0.232470\pi$
$167$	8.88914	+	4.28079i	0.687863	+	0.331257i	−0.0570953	+	0.998369i	$0.518184\pi$
$168$	19.0362	+	18.0465i	1.46868	+	1.39232i
$169$	1.44343	+	6.32409i	0.111033	+	0.486469i
$170$	−1.14027	+	1.16073i	−0.0874544	+	0.0890241i
$171$	27.8657	+	13.4194i	2.13095	+	1.02621i
$172$	8.37057	+	6.43508i	0.638250	+	0.490671i
$173$		−	9.47336i		−	0.720246i	−0.932905	−	0.360123i	$-0.882735\pi$
$173$		−	9.47336i		−	0.720246i	0.932905	−	0.360123i	$-0.117265\pi$
$174$	−14.8256	−	17.0516i	−1.12393	−	1.29268i
$175$	−7.00509			−0.529535
$176$	24.3166	−	0.865507i	1.83293	−	0.0652401i
$177$	4.77037	−	9.90578i	0.358563	−	0.744564i
$178$	0.607660	+	0.596945i	0.0455460	+	0.0447429i
$179$	−5.01993	+	1.14577i	−0.375207	+	0.0856386i	−0.405966	−	0.913888i	$-0.633065\pi$
$179$	−5.01993	+	1.14577i	−0.375207	+	0.0856386i	0.0307587	+	0.999527i	$0.490208\pi$
$180$	−17.2161	+	8.67142i	−1.28321	+	0.646330i
$181$	1.43264	−	2.97490i	0.106487	−	0.221122i	−0.840916	−	0.541166i	$-0.817983\pi$
$181$	1.43264	−	2.97490i	0.106487	−	0.221122i	0.947403	+	0.320043i	$0.103697\pi$
$182$	−10.2346	+	16.6145i	−0.758640	+	1.23155i
$183$	18.6214	+	23.3505i	1.37653	+	1.72612i
$184$	−0.111373	+	1.29919i	−0.00821055	+	0.0957776i
$185$	6.58373	+	5.25035i	0.484045	+	0.386013i
$186$	4.65171	+	12.9239i	0.341080	+	0.947629i
$187$	−3.29431	−	2.62713i	−0.240904	−	0.192114i
$188$	2.37632	−	1.19691i	0.173311	−	0.0872935i
$189$	5.78381	−	25.3405i	0.420710	−	1.84325i
$190$	11.8540	+	4.02993i	0.859982	+	0.292361i
$191$		−	16.8015i		−	1.21572i	−0.794046	−	0.607858i	$-0.792029\pi$
$191$		−	16.8015i		−	1.21572i	0.794046	−	0.607858i	$-0.207971\pi$
$192$	−23.3892	−	4.03977i	−1.68797	−	0.291545i
$193$	1.83307	+	3.80641i	0.131947	+	0.273991i	0.956466	−	0.291843i	$-0.0942684\pi$
$193$	1.83307	+	3.80641i	0.131947	+	0.273991i	−0.824519	+	0.565834i	$0.808554\pi$
$194$	−9.26475	+	15.0401i	−0.665170	+	1.07981i
$195$	−13.5637	−	17.0083i	−0.971314	−	1.21799i
$196$	−5.37926	+	1.32888i	−0.384233	+	0.0949199i
$197$	−19.7190	−	4.50074i	−1.40492	−	0.320664i	−0.548159	−	0.836374i	$-0.684671\pi$
$197$	−19.7190	−	4.50074i	−1.40492	−	0.320664i	−0.856763	+	0.515710i	$0.827528\pi$
$198$	−26.9333	−	42.0295i	−1.91406	−	2.98691i
$199$	−7.79903	+	3.75582i	−0.552859	+	0.266243i	−0.689387	−	0.724394i	$-0.742120\pi$
$199$	−7.79903	+	3.75582i	−0.552859	+	0.266243i	0.136528	+	0.990636i	$0.456406\pi$
$200$	5.27525	−	3.51439i	0.373016	−	0.248505i
$201$	−33.9663	+	7.75258i	−2.39580	+	0.546825i
$202$	8.06525	−	2.90293i	0.567469	−	0.204249i
$203$	16.6543	−	2.44536i	1.16890	−	0.171631i
$204$	2.61947	+	3.16745i	0.183400	+	0.221766i
$205$	−2.40013	−	10.5156i	−0.167632	−	0.734444i
$206$	8.32733	+	0.863329i	0.580192	+	0.0601510i
$207$	2.41023	−	1.16070i	0.167522	−	0.0806745i
$208$	−0.628090	−	17.6463i	−0.0435502	−	1.22355i
$209$	−7.21472	+	31.6097i	−0.499052	+	2.18649i
$210$	2.24647	−	21.6685i	0.155021	−	1.49527i
$211$	−7.50368	−	9.40931i	−0.516574	−	0.647764i	0.453303	−	0.891356i	$-0.350245\pi$
$211$	−7.50368	−	9.40931i	−0.516574	−	0.647764i	−0.969878	+	0.243593i	$0.921674\pi$
$212$	4.56925	−	21.7997i	0.313817	−	1.49721i
$213$	−7.87362	+	3.79174i	−0.539492	+	0.259805i
$214$	−7.02860	−	2.38946i	−0.480465	−	0.163340i
$215$		−	8.76864i		−	0.598016i
$216$	8.35757	+	21.9846i	0.568661	+	1.49586i
$217$	−9.97597	−	2.27695i	−0.677213	−	0.154569i
$218$	13.5916	−	1.65396i	0.920538	−	0.112020i
$219$	−2.62013	−	2.08948i	−0.177052	−	0.141194i
$220$	−12.8784	−	15.5725i	−0.868260	−	1.04989i
$221$	−1.90648	+	2.39065i	−0.128244	+	0.160812i
$222$	14.9073	−	15.1749i	1.00051	−	1.01847i
$223$	−2.22703	−	2.79261i	−0.149133	−	0.187007i	0.701654	−	0.712518i	$-0.252445\pi$
$223$	−2.22703	−	2.79261i	−0.149133	−	0.187007i	−0.850787	+	0.525511i	$0.823874\pi$
$224$	11.9349	−	13.0466i	0.797433	−	0.871713i
$225$	−11.7164	−	5.64234i	−0.781096	−	0.376156i
$226$	−9.25122	+	1.12578i	−0.615382	+	0.0748857i
$227$	−4.41373	+	1.00741i	−0.292950	+	0.0668639i	−0.366470	−	0.930430i	$-0.619434\pi$
$227$	−4.41373	+	1.00741i	−0.292950	+	0.0668639i	0.0735202	+	0.997294i	$0.476577\pi$
$228$	13.2137	−	28.7352i	0.875099	−	1.90304i
$229$	−6.78053	−	3.26533i	−0.448070	−	0.215779i	0.196221	−	0.980560i	$-0.437133\pi$
$229$	−6.78053	−	3.26533i	−0.448070	−	0.215779i	−0.644291	+	0.764781i	$0.722847\pi$
$230$	0.911788	−	0.584290i	0.0601215	−	0.0385269i
$231$	56.4137			3.71175
$232$	−11.3148	+	10.1968i	−0.742855	+	0.669453i
$233$	2.00633			0.131439			0.0657195	−	0.997838i	$-0.479066\pi$
$233$	2.00633			0.131439			0.0657195	+	0.997838i	$0.479066\pi$
$234$	−30.5004	+	19.5452i	−1.99387	+	1.27771i
$235$	−1.99091	−	0.958771i	−0.129873	−	0.0625433i
$236$	−6.73359	−	3.09640i	−0.438320	−	0.201559i
$237$	−12.0534	+	2.75112i	−0.782955	+	0.178704i
$238$	−3.03959	+	0.369886i	−0.197027	+	0.0239762i
$239$	−17.0929	−	8.23152i	−1.10565	−	0.532453i	−0.210219	−	0.977654i	$-0.567418\pi$
$239$	−17.0929	−	8.23152i	−1.10565	−	0.532453i	−0.895430	+	0.445201i	$0.853132\pi$
$240$	9.17920	+	17.4447i	0.592515	+	1.12605i
$241$	1.44687	+	1.81432i	0.0932014	+	0.116871i	0.826245	−	0.563310i	$-0.190472\pi$
$241$	1.44687	+	1.81432i	0.0932014	+	0.116871i	−0.733044	+	0.680181i	$0.761901\pi$
$242$	25.7706	−	26.2332i	1.65660	−	1.68633i
$243$	−2.11782	+	2.65566i	−0.135858	+	0.170361i
$244$	15.5147	−	12.8306i	0.993228	−	0.821397i
$245$	3.59782	+	2.86916i	0.229856	+	0.183304i
$246$	−27.0473	+	3.29138i	−1.72447	+	0.209851i
$247$	22.9389	+	5.23565i	1.45957	+	0.333136i
$248$	8.65482	−	3.29018i	0.549582	−	0.208927i
$249$		−	13.6195i		−	0.863101i
$250$	−16.1042	−	5.47482i	−1.01852	−	0.346258i
$251$	11.7357	−	5.65160i	0.740749	−	0.356726i	−0.0251525	−	0.999684i	$-0.508007\pi$
$251$	11.7357	−	5.65160i	0.740749	−	0.356726i	0.765902	+	0.642958i	$0.222293\pi$
$252$	−35.5044	−	7.44177i	−2.23657	−	0.468787i
$253$	1.74850	+	2.19255i	0.109927	+	0.137844i
$254$	−2.28883	+	22.0771i	−0.143614	+	1.38524i
$255$	0.759596	−	3.32801i	0.0475677	−	0.208408i
$256$	−2.44230	+	15.8125i	−0.152644	+	0.988281i
$257$	7.67820	−	3.69763i	0.478953	−	0.230652i	−0.178800	−	0.983886i	$-0.557221\pi$
$257$	7.67820	−	3.69763i	0.478953	−	0.230652i	0.657753	+	0.753234i	$0.271507\pi$
$258$	−22.0325	−	2.28420i	−1.37168	−	0.142208i
$259$	3.52628	+	15.4497i	0.219113	+	0.959995i
$260$	−11.3008	+	9.34572i	−0.700844	+	0.579597i
$261$	29.8249	+	9.32437i	1.84612	+	0.577164i
$262$	19.7961	−	7.12522i	1.22301	−	0.440197i
$263$	−22.0496	+	5.03268i	−1.35964	+	0.310328i	−0.839316	−	0.543643i	$-0.817044\pi$
$263$	−22.0496	+	5.03268i	−1.35964	+	0.310328i	−0.520320	+	0.853971i	$0.674187\pi$
$264$	−42.4828	+	28.3022i	−2.61464	+	1.74188i
$265$	−16.6662	+	8.02603i	−1.02380	+	0.493035i
$266$	12.7124	+	19.8378i	0.779449	+	1.21633i
$267$	−1.74226	−	0.397659i	−0.106624	−	0.0243363i
$268$	5.63245	+	22.8000i	0.344056	+	1.39273i
$269$	0.752278	+	0.943327i	0.0458672	+	0.0575157i	0.804236	−	0.594310i	$-0.202575\pi$
$269$	0.752278	+	0.943327i	0.0458672	+	0.0575157i	−0.758369	+	0.651826i	$0.774003\pi$
$270$	10.2447	−	16.6309i	0.623472	−	1.01212i
$271$	12.1819	+	25.2959i	0.739996	+	1.53662i	0.840579	+	0.541689i	$0.182215\pi$
$271$	12.1819	+	25.2959i	0.739996	+	1.53662i	−0.100583	+	0.994929i	$0.532071\pi$
$272$	2.10342	−	1.80348i	0.127539	−	0.109352i
$273$		−	40.9388i		−	2.47773i
$274$	13.6738	+	4.64857i	0.826063	+	0.280830i
$275$	3.03350	−	13.2907i	0.182927	−	0.801457i
$276$	−1.23060	−	2.44321i	−0.0740732	−	0.147064i
$277$	−17.7070	−	14.1209i	−1.06391	−	0.848440i	−0.0750342	−	0.997181i	$-0.523907\pi$
$277$	−17.7070	−	14.1209i	−1.06391	−	0.848440i	−0.988876	+	0.148741i	$0.952478\pi$
$278$	7.43584	+	20.6591i	0.445972	+	1.23905i
$279$	−14.8514	−	11.8436i	−0.889131	−	0.709058i
$280$	−14.6313	−	1.25427i	−0.874388	−	0.0749571i
$281$	3.96252	+	4.96885i	0.236384	+	0.296417i	0.885848	−	0.463976i	$-0.153578\pi$
$281$	3.96252	+	4.96885i	0.236384	+	0.296417i	−0.649463	+	0.760393i	$0.725006\pi$
$282$	−2.92768	+	4.75269i	−0.174341	+	0.283019i
$283$	9.40658	−	19.5330i	0.559163	−	1.16111i	−0.409402	−	0.912354i	$-0.634263\pi$
$283$	9.40658	−	19.5330i	0.559163	−	1.16111i	0.968565	−	0.248760i	$-0.0800231\pi$
$284$	2.65000	+	5.26127i	0.157249	+	0.312199i
$285$	−25.6083	+	5.84493i	−1.51691	+	0.346224i
$286$	−27.0905	−	26.6128i	−1.60189	−	1.57365i
$287$	8.80692	−	18.2878i	0.519856	−	1.07949i
$288$	30.4704	−	12.2082i	1.79548	−	0.719372i
$289$	16.5202			0.971776
$290$	12.4411	+	2.28852i	0.730566	+	0.134387i
$291$		−	37.0594i		−	2.17246i
$292$	−1.37687	+	1.79100i	−0.0805754	+	0.104810i
$293$	20.4489	+	9.84767i	1.19464	+	0.575307i	0.922143	−	0.386850i	$-0.126437\pi$
$293$	20.4489	+	9.84767i	1.19464	+	0.575307i	0.272495	+	0.962157i	$0.412151\pi$
$294$	8.14641	−	8.29263i	0.475108	−	0.483636i
$295$	1.36966	+	6.00086i	0.0797445	+	0.349384i
$296$	−10.4065	−	9.86541i	−0.604863	−	0.573415i
$297$	45.5736	+	21.9471i	2.64445	+	1.27350i
$298$	5.80315	−	9.42064i	0.336167	−	0.545723i
$299$	1.59111	−	1.26887i	0.0920163	−	0.0733806i
$300$	−5.55584	+	12.0820i	−0.320767	+	0.697556i
$301$	10.2884	−	12.9013i	0.593016	−	0.743618i
$302$	11.9539	−	4.30256i	0.687868	−	0.247585i
$303$	−11.2122	+	14.0597i	−0.644127	+	0.807710i
$304$	−19.5257	−	8.56134i	−1.11987	−	0.491027i
$305$	−16.3011	−	3.72063i	−0.933400	−	0.213043i
$306$	−5.38182	−	1.82962i	−0.307658	−	0.104592i
$307$	11.2688			0.643146			0.321573	−	0.946885i	$-0.395788\pi$
$307$	11.2688			0.643146			0.321573	+	0.946885i	$0.395788\pi$
$308$	−0.676453	−	38.0222i	−0.0385445	−	2.16652i
$309$	−15.8245	+	7.62068i	−0.900224	+	0.433525i
$310$	−6.54719	−	4.03310i	−0.371855	−	0.229064i
$311$	−20.8495	+	16.6269i	−1.18227	+	0.942827i	−0.999189	−	0.0402706i	$-0.987178\pi$
$311$	−20.8495	+	16.6269i	−1.18227	+	0.942827i	−0.183079	+	0.983098i	$0.558607\pi$
$312$	20.5387	+	30.8294i	1.16277	+	1.74537i
$313$	−0.188780	+	0.827098i	−0.0106705	+	0.0467504i	−0.979983	−	0.199082i	$-0.936204\pi$
$313$	−0.188780	+	0.827098i	−0.0106705	+	0.0467504i	0.969312	+	0.245832i	$0.0790612\pi$
$314$	6.59373	+	10.2896i	0.372106	+	0.580673i
$315$	13.0717	+	27.1437i	0.736507	+	1.52937i
$316$	1.99876	+	8.09091i	0.112439	+	0.455149i
$317$	6.59679	+	28.9024i	0.370513	+	1.62332i	0.725340	+	0.688390i	$0.241682\pi$
$317$	6.59679	+	28.9024i	0.370513	+	1.62332i	−0.354828	+	0.934932i	$0.615460\pi$
$318$	15.8251	+	43.9671i	0.887426	+	2.46555i
$319$	−2.57245	+	32.6568i	−0.144030	+	1.82843i
$320$	11.6475	−	6.39586i	0.651115	−	0.357540i
$321$	15.1839	−	3.46563i	0.847483	−	0.193432i
$322$	2.02707	+	0.210155i	0.112964	+	0.0117115i
$323$	1.60191	+	3.32639i	0.0891324	+	0.185085i
$324$	−11.5166	−	8.85367i	−0.639810	−	0.491870i
$325$	−9.64490	−	2.20138i	−0.535003	−	0.122111i
$326$	−33.4272	−	3.46554i	−1.85136	−	0.191939i
$327$	−22.4579	+	17.9095i	−1.24192	+	0.990400i
$328$	2.54268	+	18.1901i	0.140396	+	1.00438i
$329$	−1.80428	−	3.74662i	−0.0994729	−	0.206558i
$330$	40.1386	+	13.6456i	2.20956	+	0.751166i
$331$	7.16970			0.394083			0.197041	−	0.980395i	$-0.436867\pi$
$331$	7.16970			0.394083			0.197041	+	0.980395i	$0.436867\pi$
$332$	−9.17941	+	0.163311i	−0.503785	+	0.00896284i
$333$	−6.54620	+	28.6808i	−0.358730	+	1.57170i
$334$	1.68549	+	13.8507i	0.0922261	+	0.757879i
$335$	12.1609	−	15.2493i	0.664423	−	0.833160i
$336$	−6.96295	+	36.4366i	−0.379860	+	1.98778i
$337$	−27.2295	−	21.7148i	−1.48328	−	1.18288i	−0.938971	−	0.343997i	$-0.888219\pi$
$337$	−27.2295	−	21.7148i	−1.48328	−	1.18288i	−0.544313	−	0.838882i	$-0.683210\pi$
$338$	−6.42877	+	6.54417i	−0.349679	+	0.355956i
$339$	15.2861	−	12.1903i	0.830228	−	0.662085i
$340$	−2.25215	−	0.472054i	−0.122140	−	0.0256007i
$341$	8.64005	−	17.9412i	0.467885	−	0.971573i
$342$	5.28369	+	43.4194i	0.285709	+	2.34785i
$343$	−2.94184	−	12.8891i	−0.158845	−	0.695944i
$344$	−1.27534	+	14.8771i	−0.0687616	+	0.802117i
$345$	−0.985756	+	2.04694i	−0.0530713	+	0.110204i
$346$	11.2800	−	7.22844i	0.606418	−	0.388603i
$347$			16.1145i			0.865070i	0.901617	+	0.432535i	$0.142381\pi$
$347$			16.1145i			0.865070i	−0.901617	+	0.432535i	$0.857619\pi$
$348$	8.99111	−	30.6639i	0.481974	−	1.64376i
$349$		−	11.7324i		−	0.628019i	−0.949420	−	0.314010i	$-0.898328\pi$
$349$		−	11.7324i		−	0.628019i	0.949420	−	0.314010i	$-0.101672\pi$
$350$	−5.34508	−	8.34102i	−0.285706	−	0.445846i
$351$	15.9268	−	33.0723i	0.850108	−	1.76527i
$352$	19.5848	+	28.2936i	1.04387	+	1.50806i
$353$	2.20534	+	9.66222i	0.117378	+	0.514268i	0.999097	+	0.0424921i	$0.0135297\pi$
$353$	2.20534	+	9.66222i	0.117378	+	0.514268i	−0.881718	+	0.471776i	$0.843613\pi$
$354$	15.4348	−	1.87826i	0.820352	−	0.0998284i
$355$	2.12276	−	4.40795i	0.112664	−	0.233950i
$356$	−0.247127	+	1.17903i	−0.0130977	+	0.0624885i
$357$	5.02241	−	4.00524i	0.265814	−	0.211980i
$358$	−5.19462	−	5.10302i	−0.274544	−	0.269703i
$359$	8.59548	+	6.85467i	0.453652	+	0.361776i	0.823499	−	0.567317i	$-0.192019\pi$
$359$	8.59548	+	6.85467i	0.453652	+	0.361776i	−0.369847	+	0.929093i	$0.620590\pi$
$360$	−23.4615	−	13.8828i	−1.23653	−	0.731689i
$361$	5.86660	−	7.35649i	0.308769	−	0.387184i
$362$	4.63538	−	0.564078i	0.243630	−	0.0296473i
$363$	−17.1673	+	75.2148i	−0.901049	+	3.94775i
$364$	−27.5924	+	0.490895i	−1.44623	+	0.0257299i
$365$	1.87617			0.0982032
$366$	−13.5950	+	39.9898i	−0.710623	+	2.09030i
$367$	1.52426	+	3.16516i	0.0795658	+	0.165220i	0.936957	−	0.349446i	$-0.113630\pi$
$367$	1.52426	+	3.16516i	0.0795658	+	0.165220i	−0.857391	+	0.514666i	$0.827916\pi$
$368$	−1.63194	+	0.858705i	−0.0850707	+	0.0447631i
$369$	29.4602	−	23.4938i	1.53364	−	1.22304i
$370$	−1.22807	+	11.8455i	−0.0638443	+	0.615816i
$371$	−33.9381	−	7.74615i	−1.76198	−	0.402160i
$372$	−11.8393	+	15.4002i	−0.613837	+	0.798461i
$373$	5.16268	+	10.7204i	0.267314	+	0.555083i	0.990812	−	0.135243i	$-0.0431815\pi$
$373$	5.16268	+	10.7204i	0.267314	+	0.555083i	−0.723499	+	0.690326i	$0.757467\pi$
$374$	0.614492	−	5.92714i	0.0317746	−	0.306485i
$375$	34.7899	−	7.94058i	1.79654	−	0.410050i
$376$	3.23837	+	1.91624i	0.167006	+	0.0988223i
$377$	23.6987	+	1.86681i	1.22055	+	0.0961454i
$378$	34.5864	−	12.4487i	1.77893	−	0.640291i
$379$	−0.478333	−	2.09571i	−0.0245703	−	0.107650i	0.961156	−	0.276006i	$-0.0890111\pi$
$379$	−0.478333	−	2.09571i	−0.0245703	−	0.107650i	−0.985726	+	0.168357i	$0.946154\pi$
$380$	4.24649	+	17.1897i	0.217840	+	0.881811i
$381$	−20.2037	−	41.9534i	−1.03507	−	2.14934i
$382$	20.0057	−	12.8200i	1.02358	−	0.655930i
$383$	7.53677	−	33.0208i	0.385111	−	1.68728i	−0.296070	−	0.955166i	$-0.595676\pi$
$383$	7.53677	−	33.0208i	0.385111	−	1.68728i	0.681181	−	0.732115i	$-0.261467\pi$
$384$	−13.0364	−	30.9322i	−0.665261	−	1.57850i
$385$	−24.6922	+	19.6914i	−1.25843	+	1.00356i
$386$	−3.13364	+	5.08705i	−0.159498	+	0.258924i
$387$	27.5996	−	13.2912i	1.40296	−	0.675632i
$388$	−24.9776	+	0.444376i	−1.26805	+	0.0225598i
$389$	−30.9978			−1.57165			−0.785825	−	0.618448i	$-0.787762\pi$
$389$	−30.9978			−1.57165			−0.785825	+	0.618448i	$0.787762\pi$
$390$	9.90248	−	29.1282i	0.501432	−	1.47496i
$391$	0.311332	+	0.0710595i	0.0157447	+	0.00359363i
$392$	−5.68683	−	5.39116i	−0.287228	−	0.272295i
$393$	−27.5204	+	34.5095i	−1.38822	+	1.74077i
$394$	−9.68710	−	26.9138i	−0.488029	−	1.35590i
$395$	4.31549	−	5.41145i	0.217136	−	0.272280i
$396$	29.4941	−	64.1394i	1.48213	−	3.22312i
$397$	−12.5852	+	10.0364i	−0.631634	+	0.503712i	−0.886175	−	0.463350i	$-0.846647\pi$
$397$	−12.5852	+	10.0364i	−0.631634	+	0.503712i	0.254541	+	0.967062i	$0.418076\pi$
$398$	−10.4230	−	6.42059i	−0.522456	−	0.321835i
$399$	−44.5355	−	21.4472i	−2.22956	−	1.07370i
$400$	8.20978	+	3.59971i	0.410489	+	0.179985i
$401$	6.43430	+	28.1905i	0.321314	+	1.40777i	0.835218	+	0.549920i	$0.185342\pi$
$401$	6.43430	+	28.1905i	0.321314	+	1.40777i	−0.513904	+	0.857848i	$0.671801\pi$
$402$	−35.1483	−	34.5285i	−1.75304	−	1.72213i
$403$	−13.0198	−	6.27000i	−0.648562	−	0.312331i
$404$	9.61055	+	7.38835i	0.478143	+	0.367584i
$405$			12.0643i			0.599479i
$406$	15.6194	+	17.9645i	0.775177	+	0.891563i
$407$	−30.8394			−1.52865
$408$	−1.77278	+	5.53589i	−0.0877657	+	0.274067i
$409$	6.68748	−	13.8867i	0.330674	−	0.686653i	−0.667653	−	0.744473i	$-0.732701\pi$
$409$	6.68748	−	13.8867i	0.330674	−	0.686653i	0.998327	+	0.0578204i	$0.0184151\pi$
$410$	10.6897	−	10.8816i	0.527927	−	0.537403i
$411$	−29.5395	+	6.74220i	−1.45708	+	0.332568i
$412$	5.32601	+	10.5742i	0.262394	+	0.520952i
$413$	−5.02577	+	10.4361i	−0.247302	+	0.513527i
$414$	3.22113	+	1.98423i	0.158310	+	0.0975196i
$415$	4.75393	+	5.96124i	0.233361	+	0.292626i
$416$	20.5324	−	14.2125i	1.00668	−	0.696826i
$417$	−36.0139	−	28.7202i	−1.76361	−	1.40643i
$418$	−43.1430	+	15.5285i	−2.11020	+	0.759523i
$419$	0.455343	+	0.363124i	0.0222449	+	0.0177398i	0.634549	−	0.772882i	$-0.281186\pi$
$419$	0.455343	+	0.363124i	0.0222449	+	0.0177398i	−0.612304	+	0.790622i	$0.709757\pi$
$420$	27.5151	−	13.8588i	1.34260	−	0.676241i
$421$	−6.24381	+	27.3559i	−0.304305	+	1.33325i	0.559253	+	0.828997i	$0.311088\pi$
$421$	−6.24381	+	27.3559i	−0.304305	+	1.33325i	−0.863558	+	0.504249i	$0.831769\pi$
$422$	5.47824	−	16.1143i	0.266677	−	0.784430i
$423$		−	7.71972i		−	0.375346i
$424$	29.4436	−	11.1931i	1.42991	−	0.543587i
$425$	−0.673538	−	1.39862i	−0.0326714	−	0.0678429i
$426$	−10.5226	−	6.48199i	−0.509824	−	0.314054i
$427$	−19.6184	−	24.6006i	−0.949399	−	1.19051i
$428$	−2.51787	−	10.1922i	−0.121706	−	0.492660i
$429$	77.6727	+	17.7283i	3.75007	+	0.855929i
$430$	10.4409	−	6.69072i	0.503505	−	0.322655i
$431$	−6.30387	+	3.03579i	−0.303647	+	0.146229i	−0.579503	−	0.814970i	$-0.696753\pi$
$431$	−6.30387	+	3.03579i	−0.303647	+	0.146229i	0.275856	+	0.961199i	$0.411039\pi$
$432$	−19.8002	+	26.7263i	−0.952638	+	1.28587i
$433$	−12.3365	+	2.81572i	−0.592852	+	0.135315i	−0.508412	−	0.861114i	$-0.669767\pi$
$433$	−12.3365	+	2.81572i	−0.592852	+	0.135315i	−0.0844402	+	0.996429i	$0.526910\pi$
$434$	−4.90076	−	13.6159i	−0.235244	−	0.653582i
$435$	−24.7408	+	9.60143i	−1.18623	+	0.460353i
$436$	12.3401	+	14.9216i	0.590985	+	0.714615i
$437$	−0.546788	−	2.39563i	−0.0261564	−	0.114599i
$438$	0.488736	−	4.71415i	0.0233527	−	0.225251i
$439$	−15.5379	+	7.48266i	−0.741584	+	0.357128i	−0.766228	−	0.642568i	$-0.777869\pi$
$439$	−15.5379	+	7.48266i	−0.741584	+	0.357128i	0.0246447	+	0.999696i	$0.492155\pi$
$440$	8.71570	−	27.2166i	0.415505	−	1.29750i
$441$	−3.57731	+	15.6732i	−0.170348	+	0.746344i
$442$	−4.30127	−	0.445930i	−0.204590	−	0.0212107i
$443$	−8.78763	−	11.0193i	−0.417513	−	0.523545i	0.527949	−	0.849276i	$-0.322961\pi$
$443$	−8.78763	−	11.0193i	−0.417513	−	0.523545i	−0.945462	+	0.325731i	$0.894390\pi$
$444$	29.4435	+	6.17141i	1.39733	+	0.292882i
$445$	0.901388	−	0.434085i	0.0427299	−	0.0205776i
$446$	1.62590	−	4.78258i	0.0769885	−	0.226462i
$447$			23.2128i			1.09793i
$448$	24.6414	+	4.25605i	1.16420	+	0.201079i
$449$	−13.7096	−	3.12913i	−0.646996	−	0.147673i	−0.113584	−	0.993528i	$-0.536233\pi$
$449$	−13.7096	−	3.12913i	−0.646996	−	0.147673i	−0.533412	+	0.845856i	$0.679090\pi$
$450$	−2.22158	−	18.2561i	−0.104726	−	0.860603i
$451$	30.8833	+	24.6286i	1.45424	+	1.15972i
$452$	−8.39941	−	10.1565i	−0.395075	−	0.477722i
$453$	−16.6182	+	20.8386i	−0.780791	+	0.979081i
$454$	−4.56733	−	4.48680i	−0.214355	−	0.210576i
$455$	14.2898	+	17.9189i	0.669918	+	0.840050i
$456$	44.2977	−	6.19208i	2.07443	−	0.289971i
$457$	26.2766	+	12.6542i	1.22917	+	0.591936i	0.931851	−	0.362842i	$-0.118194\pi$
$457$	26.2766	+	12.6542i	1.22917	+	0.591936i	0.297318	+	0.954778i	$0.403908\pi$
$458$	−1.28567	−	10.5652i	−0.0600755	−	0.493678i
$459$	5.61553	−	1.28171i	0.262111	−	0.0598250i
$460$	1.39144	+	0.639845i	0.0648762	+	0.0298329i
$461$	26.2402	+	12.6366i	1.22213	+	0.588547i	0.929904	−	0.367802i	$-0.119890\pi$
$461$	26.2402	+	12.6366i	1.22213	+	0.588547i	0.292226	+	0.956349i	$0.405604\pi$
$462$	43.0452	+	67.1723i	2.00264	+	3.12514i
$463$	−27.9532			−1.29909			−0.649547	−	0.760322i	$-0.725041\pi$
$463$	−27.9532			−1.29909			−0.649547	+	0.760322i	$0.725041\pi$
$464$	−20.7750	−	5.69223i	−0.964453	−	0.264255i
$465$	16.1325			0.748129
$466$	1.53088	+	2.38895i	0.0709169	+	0.110666i
$467$	28.9203	+	13.9273i	1.33827	+	0.644478i	0.959682	−	0.281086i	$-0.0906947\pi$
$467$	28.9203	+	13.9273i	1.33827	+	0.644478i	0.378590	+	0.925564i	$0.376409\pi$
$468$	−46.5453	−	21.4036i	−2.15156	−	0.989380i
$469$	35.7847	−	8.16763i	1.65239	−	0.377146i
$470$	−0.377501	−	3.10216i	−0.0174128	−	0.143092i
$471$	−23.0998	−	11.1243i	−1.06438	−	0.512580i
$472$	−1.45101	−	10.3804i	−0.0667879	−	0.477796i
$473$	20.0221	+	25.1069i	0.920617	+	1.15442i
$474$	−12.4729	−	12.2530i	−0.572899	−	0.562797i
$475$	−7.44758	+	9.33897i	−0.341718	+	0.428501i
$476$	−2.75971	−	3.33703i	−0.126491	−	0.152952i
$477$	−50.5243	−	40.2918i	−2.31335	−	1.84484i
$478$	−3.24103	−	26.6336i	−0.148241	−	1.21819i
$479$	−2.23974	−	0.511205i	−0.102336	−	0.0233576i	0.171046	−	0.985263i	$-0.445285\pi$
$479$	−2.23974	−	0.511205i	−0.102336	−	0.0233576i	−0.273382	+	0.961905i	$0.588142\pi$
$480$	−13.7676	+	24.2406i	−0.628403	+	1.10643i
$481$			22.3799i			1.02043i
$482$	−1.05633	+	3.10719i	−0.0481143	+	0.141528i
$483$	−3.85206	+	1.85506i	−0.175275	+	0.0844080i
$484$	50.8998	+	10.6687i	2.31363	+	0.484940i
$485$	12.9357	+	16.2208i	0.587379	+	0.736550i
$486$	−4.77808	−	0.495364i	−0.216738	−	0.0224701i
$487$	−0.406732	+	1.78201i	−0.0184308	+	0.0807505i	−0.983307	−	0.181955i	$-0.941758\pi$
$487$	−0.406732	+	1.78201i	−0.0184308	+	0.0807505i	0.964876	+	0.262705i	$0.0846147\pi$
$488$	27.1157	+	8.68338i	1.22747	+	0.393078i
$489$	63.5221	−	30.5906i	2.87257	−	1.38336i
$490$	−0.671104	+	6.47320i	−0.0303174	+	0.292430i
$491$	−1.56760	−	6.86813i	−0.0707450	−	0.309954i	0.927159	−	0.374669i	$-0.122244\pi$
$491$	−1.56760	−	6.86813i	−0.0707450	−	0.309954i	−0.997904	+	0.0647144i	$0.979386\pi$
$492$	−24.5569	−	29.6941i	−1.10711	−	1.33871i
$493$	2.08954	+	3.09002i	0.0941081	+	0.139168i
$494$	11.2689	+	31.3085i	0.507010	+	1.40864i
$495$	−57.1599	+	13.0464i	−2.56915	+	0.586391i
$496$	10.5215	+	7.79488i	0.472430	+	0.350000i
$497$	8.29515	−	3.99474i	0.372089	−	0.179188i
$498$	16.2169	−	10.3921i	0.726695	−	0.465679i
$499$	−40.7051	−	9.29068i	−1.82221	−	0.415908i	−0.831918	−	0.554899i	$-0.812757\pi$
$499$	−40.7051	−	9.29068i	−1.82221	−	0.415908i	−0.990294	+	0.138991i	$0.955614\pi$
$500$	−5.76903	−	23.3528i	−0.257999	−	1.04437i
$501$	−18.2510	−	22.8861i	−0.815396	−	1.02247i
$502$	15.6841	+	9.66145i	0.700014	+	0.431212i
$503$	−14.5527	−	30.2191i	−0.648875	−	1.34740i	−0.922661	−	0.385612i	$-0.873990\pi$
$503$	−14.5527	−	30.2191i	−0.648875	−	1.34740i	0.273786	−	0.961791i	$-0.411724\pi$
$504$	−18.2299	−	47.9537i	−0.812022	−	2.13603i
$505$		−	10.0676i		−	0.448002i
$506$	−1.27653	+	3.75493i	−0.0567489	+	0.166927i
$507$	4.28257	−	18.7632i	0.190196	−	0.833302i
$508$	−28.0339	+	14.1201i	−1.24380	+	0.626479i
$509$	3.34535	+	2.66783i	0.148280	+	0.118249i	0.694820	−	0.719184i	$-0.255484\pi$
$509$	3.34535	+	2.66783i	0.148280	+	0.118249i	−0.546540	+	0.837433i	$0.684055\pi$
$510$	4.54228	−	1.63490i	0.201136	−	0.0723948i
$511$	2.76041	+	2.20135i	0.122113	+	0.0973820i
$512$	−20.6916	+	9.15730i	−0.914450	+	0.404699i
$513$	−27.6341	−	34.6520i	−1.22007	−	1.52992i
$514$	10.2615	+	6.32112i	0.452615	+	0.278812i
$515$	4.26634	−	8.85915i	0.187998	−	0.390381i
$516$	−14.0916	−	27.9772i	−0.620347	−	1.23163i
$517$	7.88973	−	1.80078i	0.346990	−	0.0791982i
$518$	−15.7054	+	15.9873i	−0.690056	+	0.702442i
$519$	−12.1951	+	25.3234i	−0.535306	+	1.11157i
$520$	−19.7508	−	6.32490i	−0.866132	−	0.277365i
$521$	0.953367			0.0417678			0.0208839	−	0.999782i	$-0.493352\pi$
$521$	0.953367			0.0417678			0.0208839	+	0.999782i	$0.493352\pi$
$522$	11.6546	+	42.6276i	0.510109	+	1.86576i
$523$			15.5088i			0.678151i	0.940759	+	0.339076i	$0.110114\pi$
$523$			15.5088i			0.678151i	−0.940759	+	0.339076i	$0.889886\pi$
$524$	23.5890	+	18.1347i	1.03049	+	0.792217i
$525$	18.7254	+	9.01768i	0.817244	+	0.393564i
$526$	−22.8169	−	22.4146i	−0.994865	−	0.977322i
$527$	−0.504578	−	2.21070i	−0.0219798	−	0.0962997i
$528$	−66.1153	−	28.9893i	−2.87730	−	1.26160i
$529$	20.5308	+	9.88711i	0.892643	+	0.429874i
$530$	−22.2735	−	13.7205i	−0.967497	−	0.595982i
$531$	−16.8118	+	13.4070i	−0.729570	+	0.581813i
$532$	−13.9211	+	30.2736i	−0.603558	+	1.31253i
$533$	17.8728	−	22.4117i	0.774155	−	0.970760i
$534$	−0.855894	−	2.37795i	−0.0370382	−	0.102904i
$535$	−5.43629	+	6.81689i	−0.235031	+	0.294720i
$536$	−22.8504	+	24.1036i	−0.986987	+	1.04112i
$537$	14.8938	+	3.39941i	0.642715	+	0.146696i
$538$	−0.549219	+	1.61553i	−0.0236785	+	0.0696504i
$539$	−16.8529			−0.725904
$540$	27.6195	−	0.491379i	1.18856	−	0.0211456i
$541$	2.76103	−	1.32964i	0.118706	−	0.0571657i	−0.373588	−	0.927595i	$-0.621873\pi$
$541$	2.76103	−	1.32964i	0.118706	−	0.0571657i	0.492294	+	0.870429i	$0.336158\pi$
$542$	−20.8250	+	33.8066i	−0.894509	+	1.45212i
$543$	−7.65920	+	6.10801i	−0.328688	+	0.262120i
$544$	3.75239	+	1.12846i	0.160882	+	0.0483821i
$545$	3.57839	−	15.6780i	0.153282	−	0.671570i
$546$	48.7462	−	31.2375i	2.08615	−	1.33684i
$547$	−5.66477	−	11.7630i	−0.242208	−	0.502950i	0.744058	−	0.668115i	$-0.232899\pi$
$547$	−5.66477	−	11.7630i	−0.242208	−	0.502950i	−0.986266	+	0.165165i	$0.947184\pi$
$548$	4.89838	+	19.8285i	0.209248	+	0.847031i
$549$	−12.9980	−	56.9479i	−0.554741	−	2.43048i
$550$	18.1400	−	6.52912i	0.773490	−	0.278402i
$551$	14.4462	−	24.8028i	0.615428	−	1.05663i
$552$	1.97017	−	3.32952i	0.0838559	−	0.141714i
$553$	12.6988	−	2.89841i	0.540006	−	0.123253i
$554$	3.30291	−	31.8585i	0.140327	−	1.35354i
$555$	−10.8403	−	22.5101i	−0.460144	−	0.955498i
$556$	−18.9252	+	24.6174i	−0.802609	+	1.04401i
$557$	20.3458	+	4.64380i	0.862081	+	0.196764i	0.630631	−	0.776083i	$-0.282796\pi$
$557$	20.3458	+	4.64380i	0.862081	+	0.196764i	0.231450	+	0.972847i	$0.425653\pi$
$558$	2.77025	−	26.7207i	0.117274	−	1.13118i
$559$	18.2198	−	14.5298i	0.770617	−	0.614547i
$560$	−9.67063	−	18.3787i	−0.408659	−	0.776641i
$561$	5.42417	+	11.2634i	0.229008	+	0.475541i
$562$	−2.89294	+	8.50958i	−0.122031	+	0.358955i
$563$	5.10995			0.215359			0.107679	−	0.994186i	$-0.465658\pi$
$563$	5.10995			0.215359			0.107679	+	0.994186i	$0.465658\pi$
$564$	−7.89297	+	0.140424i	−0.332354	+	0.00591291i
$565$	−2.43566	+	10.6713i	−0.102469	+	0.448947i
$566$	30.4356	−	3.70369i	1.27930	−	0.155678i
$567$	−14.1553	+	17.7502i	−0.594466	+	0.745436i
$568$	−4.24262	+	7.16988i	−0.178016	+	0.300841i
$569$	−31.9277	−	25.4615i	−1.33848	−	1.06740i	−0.991580	−	0.129496i	$-0.958664\pi$
$569$	−31.9277	−	25.4615i	−1.33848	−	1.06740i	−0.346897	−	0.937903i	$-0.612765\pi$
$570$	−26.4995	−	26.0322i	−1.10994	−	1.09037i
$571$	−17.2028	+	13.7188i	−0.719915	+	0.574113i	−0.913436	−	0.406983i	$-0.866581\pi$
$571$	−17.2028	+	13.7188i	−0.719915	+	0.574113i	0.193520	+	0.981096i	$0.438009\pi$
$572$	11.0173	−	52.5632i	0.460657	−	2.19778i
$573$	−21.6287	+	44.9124i	−0.903551	+	1.87624i
$574$	28.4953	−	3.46759i	1.18937	−	0.144734i
$575$	0.229903	+	1.00727i	0.00958761	+	0.0420061i
$576$	37.7861	+	26.9662i	1.57442	+	1.12359i
$577$	6.80158	−	14.1236i	0.283153	−	0.587974i	−0.710078	−	0.704123i	$-0.751341\pi$
$577$	6.80158	−	14.1236i	0.283153	−	0.587974i	0.993232	+	0.116148i	$0.0370548\pi$
$578$	12.6054	+	19.6707i	0.524314	+	0.818195i
$579$		−	12.5347i		−	0.520924i
$580$	6.76793	+	16.5599i	0.281023	+	0.687613i
$581$			14.3487i			0.595283i
$582$	44.1269	−	28.2773i	1.82912	−	1.17213i
$583$	29.3933	−	61.0359i	1.21735	−	2.52785i
$584$	−3.18315	−	0.272876i	−0.131720	−	0.0112917i
$585$	9.46762	+	41.4804i	0.391438	+	1.71500i
$586$	3.87737	+	31.8627i	0.160173	+	1.31624i
$587$	8.67716	−	18.0183i	0.358145	−	0.743695i	−0.641583	−	0.767054i	$-0.721722\pi$
$587$	8.67716	−	18.0183i	0.358145	−	0.743695i	0.999727	+	0.0233591i	$0.00743612\pi$
$588$	16.0900	+	3.37250i	0.663542	+	0.139079i
$589$	−13.6417	+	10.8789i	−0.562096	+	0.448256i
$590$	−6.10019	+	6.20969i	−0.251141	+	0.255649i
$591$	46.9174	+	37.4154i	1.92992	+	1.53906i
$592$	3.80641	−	19.9186i	0.156442	−	0.818651i
$593$	−3.72309	+	4.66861i	−0.152889	+	0.191717i	−0.852377	−	0.522927i	$-0.824840\pi$
$593$	−3.72309	+	4.66861i	−0.152889	+	0.191717i	0.699488	+	0.714644i	$0.253411\pi$
$594$	8.64132	+	71.0111i	0.354558	+	2.91362i
$595$	−0.800263	+	3.50618i	−0.0328076	+	0.143739i
$596$	15.6452	−	0.278344i	0.640852	−	0.0114014i
$597$	25.6826			1.05112
$598$	2.72492	+	0.926368i	0.111430	+	0.0378820i
$599$	−12.9065	−	26.8007i	−0.527347	−	1.09505i	−0.979189	−	0.202950i	$-0.934947\pi$
$599$	−12.9065	−	26.8007i	−0.527347	−	1.09505i	0.451842	−	0.892098i	$-0.350767\pi$
$600$	−18.6254	+	2.60353i	−0.760381	+	0.106288i
$601$	−29.4849	+	23.5134i	−1.20272	+	0.959133i	−0.999799	−	0.0200627i	$-0.993613\pi$
$601$	−29.4849	+	23.5134i	−1.20272	+	0.959133i	−0.202916	+	0.979196i	$0.565042\pi$
$602$	23.2121	+	2.40649i	0.946053	+	0.0980813i
$603$	66.4309	+	15.1624i	2.70528	+	0.617461i
$604$	14.2442	+	10.9506i	0.579590	+	0.445574i
$605$	−18.7399	−	38.9137i	−0.761884	−	1.58207i
$606$	−25.2963	−	2.62257i	−1.02759	−	0.106535i
$607$	−6.98666	+	1.59466i	−0.283580	+	0.0647252i	−0.361945	−	0.932200i	$-0.617887\pi$
$607$	−6.98666	+	1.59466i	−0.283580	+	0.0647252i	0.0783652	+	0.996925i	$0.475030\pi$
$608$	−4.70457	−	29.7820i	−0.190795	−	1.20782i
$609$	−47.6667	−	14.9024i	−1.93155	−	0.603874i
$610$	−8.00804	−	22.2489i	−0.324236	−	0.900830i
$611$	−1.30681	−	5.72550i	−0.0528678	−	0.231629i
$612$	−1.92794	−	7.80423i	−0.0779323	−	0.315467i
$613$	18.7801	+	38.9972i	0.758520	+	1.57508i	0.816894	+	0.576787i	$0.195694\pi$
$613$	18.7801	+	38.9972i	0.758520	+	1.57508i	−0.0583747	+	0.998295i	$0.518592\pi$
$614$	8.59843	+	13.4179i	0.347004	+	0.541502i
$615$	−7.12102	+	31.1992i	−0.287147	+	1.25807i
$616$	44.7573	−	29.8175i	1.80332	−	1.20138i
$617$	34.0431	−	27.1484i	1.37052	−	1.09296i	0.385092	−	0.922878i	$-0.374170\pi$
$617$	34.0431	−	27.1484i	1.37052	−	1.09296i	0.985431	−	0.170077i	$-0.0544016\pi$
$618$	−21.1485	−	13.0276i	−0.850719	−	0.524046i
$619$	26.6787	−	12.8478i	1.07231	−	0.516396i	0.187458	−	0.982273i	$-0.439975\pi$
$619$	26.6787	−	12.8478i	1.07231	−	0.516396i	0.884850	+	0.465876i	$0.154261\pi$
$620$	−0.193444	−	10.8732i	−0.00776891	−	0.436677i
$621$	−3.83356			−0.153836
$622$	−35.7066	−	12.1389i	−1.43171	−	0.486726i
$623$	1.83553	+	0.418948i	0.0735391	+	0.0167848i
$624$	−21.0373	+	47.9792i	−0.842164	+	1.92071i
$625$	−5.46941	+	6.85842i	−0.218776	+	0.274337i
$626$	−1.12888	+	0.406317i	−0.0451190	+	0.0162397i
$627$	59.9772	−	75.2090i	2.39526	−	3.00356i
$628$	−7.22067	+	15.7024i	−0.288136	+	0.626596i
$629$	−2.74558	+	2.18953i	−0.109474	+	0.0873023i
$630$	−22.3461	+	36.2760i	−0.890291	+	1.44527i
$631$	−16.5580	−	7.97391i	−0.659164	−	0.317437i	0.0742295	−	0.997241i	$-0.476350\pi$
$631$	−16.5580	−	7.97391i	−0.659164	−	0.317437i	−0.733393	+	0.679805i	$0.762065\pi$
$632$	−8.10881	+	8.55353i	−0.322551	+	0.340241i
$633$	7.94554	+	34.8117i	0.315807	+	1.38364i
$634$	−29.3809	+	29.9082i	−1.16686	+	1.18781i
$635$	23.4871	+	11.3108i	0.932056	+	0.448855i
$636$	−40.2770	+	52.3911i	−1.59709	+	2.07744i
$637$			12.2300i			0.484569i
$638$	−40.8476	+	21.8550i	−1.61717	+	0.865249i
$639$	17.0918			0.676140
$640$	16.5030	+	8.98857i	0.652338	+	0.355305i
$641$	−0.0313450	+	0.0650885i	−0.00123805	+	0.00257084i	−0.901587	−	0.432598i	$-0.857597\pi$
$641$	−0.0313450	+	0.0650885i	−0.00123805	+	0.00257084i	0.900349	+	0.435169i	$0.143311\pi$
$642$	15.7123	+	15.4352i	0.620115	+	0.609181i
$643$	−35.9134	+	8.19700i	−1.41629	+	0.323258i	−0.861086	−	0.508459i	$-0.830215\pi$
$643$	−35.9134	+	8.19700i	−1.41629	+	0.323258i	−0.555200	+	0.831717i	$0.687358\pi$
$644$	1.29648	+	2.57401i	0.0510884	+	0.101430i
$645$	−11.2879	+	23.4396i	−0.444461	+	0.922933i
$646$	−2.73847	+	4.44553i	−0.107744	+	0.174907i
$647$	0.388863	+	0.487619i	0.0152878	+	0.0191703i	0.789417	−	0.613858i	$-0.210383\pi$
$647$	0.388863	+	0.487619i	0.0152878	+	0.0191703i	−0.774129	+	0.633028i	$0.781812\pi$
$648$	1.75467	−	20.4685i	0.0689298	−	0.804079i
$649$	−17.6239	−	14.0546i	−0.691799	−	0.551691i
$650$	−4.73812	−	13.1640i	−0.185844	−	0.516334i
$651$	23.7358	+	18.9287i	0.930279	+	0.741873i
$652$	−21.3794	−	42.4464i	−0.837284	−	1.66233i
$653$	4.39057	−	19.2363i	0.171816	−	0.752776i	−0.813434	−	0.581657i	$-0.802405\pi$
$653$	4.39057	−	19.2363i	0.171816	−	0.752776i	0.985250	−	0.171119i	$-0.0547383\pi$
$654$	−38.4610	−	13.0753i	−1.50394	−	0.511284i
$655$		−	24.7109i		−	0.965533i
$656$	−19.7190	+	16.9072i	−0.769899	+	0.660114i
$657$	2.84384	+	5.90530i	0.110949	+	0.230388i
$658$	3.08442	−	5.00714i	0.120243	−	0.195199i
$659$	−9.76144	−	12.2405i	−0.380252	−	0.476821i	0.554469	−	0.832205i	$-0.312922\pi$
$659$	−9.76144	−	12.2405i	−0.380252	−	0.476821i	−0.934720	+	0.355384i	$0.884350\pi$
$660$	14.3789	+	58.2054i	0.559699	+	2.26564i
$661$	−14.0796	−	3.21358i	−0.547634	−	0.124994i	−0.0602525	−	0.998183i	$-0.519191\pi$
$661$	−14.0796	−	3.21358i	−0.547634	−	0.124994i	−0.487381	+	0.873189i	$0.662048\pi$
$662$	5.47068	+	8.53703i	0.212624	+	0.331801i
$663$	8.17374	−	3.93626i	0.317442	−	0.152872i
$664$	−7.19860	−	10.8054i	−0.279360	−	0.419331i
$665$	26.9793	−	6.15785i	1.04621	−	0.238791i
$666$	−39.1454	+	14.0896i	−1.51685	+	0.545962i
$667$	−0.898204	−	2.31448i	−0.0347786	−	0.0896170i
$668$	−15.2061	+	12.5754i	−0.588343	+	0.486558i
$669$	2.35817	+	10.3318i	0.0911723	+	0.399452i
$670$	27.4366	+	2.84447i	1.05997	+	0.109892i
$671$	55.1700	−	26.5685i	2.12982	−	1.02566i
$672$	−48.6983	+	19.5113i	−1.87858	+	0.752664i
$673$	2.18471	−	9.57183i	0.0842143	−	0.368967i	−0.915207	−	0.402984i	$-0.867973\pi$
$673$	2.18471	−	9.57183i	0.0842143	−	0.368967i	0.999421	+	0.0340172i	$0.0108301\pi$
$674$	5.07914	−	48.9914i	0.195641	−	1.88708i
$675$	11.6190	+	14.5698i	0.447217	+	0.560792i
$676$	−12.6975	−	2.66142i	−0.488367	−	0.102362i
$677$	−15.4258	+	7.42866i	−0.592861	+	0.285507i	−0.706158	−	0.708055i	$-0.749573\pi$
$677$	−15.4258	+	7.42866i	−0.592861	+	0.285507i	0.113297	+	0.993561i	$0.463859\pi$
$678$	26.1788	+	8.89981i	1.00539	+	0.341795i
$679$			39.0434i			1.49835i
$680$	−1.15637	−	3.04185i	−0.0443449	−	0.116649i
$681$	13.0953	+	2.98891i	0.501812	+	0.114535i
$682$	27.9554	−	3.40188i	1.07047	−	0.130265i
$683$	31.5323	+	25.1462i	1.20655	+	0.962191i	0.999868	−	0.0162168i	$-0.00516220\pi$
$683$	31.5323	+	25.1462i	1.20655	+	0.962191i	0.206681	+	0.978408i	$0.433734\pi$
$684$	−47.6682	+	39.4215i	−1.82264	+	1.50732i
$685$	10.5760	−	13.2619i	0.404089	−	0.506712i
$686$	13.1024	−	13.3376i	0.500253	−	0.509232i
$687$	13.9217	+	17.4572i	0.531144	+	0.666034i
$688$	−18.6874	+	9.83305i	−0.712449	+	0.374882i
$689$	−44.2931	−	21.3304i	−1.68743	−	0.812625i
$690$	−3.18947	+	0.388126i	−0.121421	+	0.0147757i
$691$	−24.0232	+	5.48313i	−0.913884	+	0.208588i	−0.653508	−	0.756919i	$-0.726704\pi$
$691$	−24.0232	+	5.48313i	−0.913884	+	0.208588i	−0.260376	+	0.965507i	$0.583846\pi$
$692$	17.2139	+	7.91572i	0.654376	+	0.300911i
$693$	−99.4069	−	47.8718i	−3.77615	−	1.81850i
$694$	−19.1876	+	12.2958i	−0.728353	+	0.466742i
$695$	25.7881			0.978199
$696$	43.3722	−	12.6916i	1.64402	−	0.481074i
$697$	4.49807			0.170377
$698$	13.9698	−	8.95212i	0.528766	−	0.338843i
$699$	−5.36315	−	2.58276i	−0.202853	−	0.0976888i
$700$	5.85329	−	12.7289i	0.221234	−	0.481106i
$701$	34.2914	−	7.82678i	1.29517	−	0.295613i	0.481244	−	0.876587i	$-0.340185\pi$
$701$	34.2914	−	7.82678i	1.29517	−	0.295613i	0.813923	+	0.580973i	$0.197328\pi$
$702$	51.5321	−	6.27092i	1.94495	−	0.236681i
$703$	24.3460	+	11.7244i	0.918229	+	0.442196i
$704$	−18.7457	+	44.9087i	−0.706505	+	1.69256i
$705$	4.08770	+	5.12581i	0.153952	+	0.193049i
$706$	−9.82216	+	9.99846i	−0.369662	+	0.376297i
$707$	11.8125	−	14.8124i	0.444256	−	0.557079i
$708$	14.0137	+	16.9452i	0.526666	+	0.636841i
$709$	−21.7729	−	17.3633i	−0.817700	−	0.652094i	0.122594	−	0.992457i	$-0.460879\pi$
$709$	−21.7729	−	17.3633i	−0.817700	−	0.652094i	−0.940294	+	0.340363i	$0.889450\pi$
$710$	6.86831	−	0.835803i	0.257763	−	0.0313671i
$711$	23.5740	+	5.38061i	0.884094	+	0.201789i
$712$	−1.59245	+	0.605378i	−0.0596795	+	0.0226875i
$713$			1.50918i			0.0565194i
$714$	8.60132	+	2.92412i	0.321896	+	0.109433i
$715$	−40.1853	+	19.3522i	−1.50285	+	0.723733i
$716$	2.11258	−	10.0790i	0.0789508	−	0.376671i
$717$	35.0949	+	44.0076i	1.31064	+	1.64349i
$718$	−1.60332	+	15.4650i	−0.0598355	+	0.577150i
$719$	−9.25641	+	40.5550i	−0.345206	+	1.51245i	0.442711	+	0.896664i	$0.354017\pi$
$719$	−9.25641	+	40.5550i	−0.345206	+	1.51245i	−0.787917	+	0.615781i	$0.788841\pi$
$720$	−1.37137	−	38.5288i	−0.0511078	−	1.43588i
$721$	16.6717	−	8.02867i	0.620887	−	0.299003i
$722$	13.2358	+	1.37221i	0.492586	+	0.0510685i
$723$	−1.53208	−	6.71246i	−0.0569785	−	0.249639i
$724$	4.20858	+	5.08898i	0.156411	+	0.189131i
$725$	−6.07405	+	10.4286i	−0.225584	+	0.387308i
$726$	−102.658	+	36.9497i	−3.81000	+	1.37133i
$727$	−17.5617	+	4.00834i	−0.651328	+	0.148661i	−0.535403	−	0.844597i	$-0.679840\pi$
$727$	−17.5617	+	4.00834i	−0.651328	+	0.148661i	−0.115925	+	0.993258i	$0.536983\pi$
$728$	−21.6382	−	32.4799i	−0.801967	−	1.20379i
$729$	28.7117	−	13.8268i	1.06340	−	0.512105i
$730$	1.43157	+	2.23397i	0.0529848	+	0.0826830i
$731$	3.56507	+	0.813704i	0.131859	+	0.0300959i
$732$	−57.9896	+	14.3256i	−2.14336	+	0.529489i
$733$	−22.2824	−	27.9413i	−0.823020	−	1.03203i	−0.998866	−	0.0476167i	$-0.984837\pi$
$733$	−22.2824	−	27.9413i	−0.823020	−	1.03203i	0.175846	−	0.984418i	$-0.443734\pi$
$734$	−2.60573	+	4.23006i	−0.0961794	+	0.156134i
$735$	−5.92389	−	12.3011i	−0.218506	−	0.453732i
$736$	−2.26768	−	1.28795i	−0.0835879	−	0.0474744i
$737$			71.4308i			2.63119i
$738$	50.4532	+	17.1522i	1.85721	+	0.631381i
$739$	−6.17378	+	27.0491i	−0.227106	+	0.995018i	0.724879	+	0.688876i	$0.241895\pi$
$739$	−6.17378	+	27.0491i	−0.227106	+	0.995018i	−0.951986	+	0.306142i	$0.900962\pi$
$740$	−15.0416	+	7.57615i	−0.552939	+	0.278505i
$741$	−54.5784	−	43.5248i	−2.00499	−	1.59892i
$742$	−16.6723	−	46.3209i	−0.612060	−	1.70050i
$743$	16.3392	+	13.0301i	0.599427	+	0.478027i	0.875571	−	0.483089i	$-0.160485\pi$
$743$	16.3392	+	13.0301i	0.599427	+	0.478027i	−0.276144	+	0.961116i	$0.589057\pi$
$744$	−27.3708	−	2.34637i	−1.00346	−	0.0860220i
$745$	−8.10251	−	10.1602i	−0.296853	−	0.372242i
$746$	−8.82564	+	14.3272i	−0.323130	+	0.524558i
$747$	−11.5573	+	23.9990i	−0.422860	+	0.878078i
$748$	7.52637	−	3.79089i	0.275191	−	0.138609i
$749$	−15.9968	+	3.65117i	−0.584511	+	0.133411i
$750$	36.0006	+	35.3658i	1.31456	+	1.29138i
$751$	−12.0245	+	24.9692i	−0.438781	+	0.911139i	0.557913	+	0.829899i	$0.311602\pi$
$751$	−12.0245	+	24.9692i	−0.438781	+	0.911139i	−0.996695	+	0.0812398i	$0.974112\pi$
$752$	0.189288	+	5.31810i	0.00690264	+	0.193931i
$753$	−38.6462			−1.40834
$754$	15.8600	+	29.6427i	0.577586	+	1.07952i
$755$		−	14.9216i		−	0.543054i
$756$	41.2132	+	31.6837i	1.49891	+	1.15232i
$757$	3.24323	+	1.56186i	0.117877	+	0.0567667i	0.491893	−	0.870656i	$-0.336305\pi$
$757$	3.24323	+	1.56186i	0.117877	+	0.0567667i	−0.374016	+	0.927422i	$0.622019\pi$
$758$	2.13040	−	2.16864i	0.0773797	−	0.0787686i
$759$	−1.85146	−	8.11179i	−0.0672038	−	0.294439i
$760$	−17.2277	+	18.1725i	−0.624914	+	0.659187i
$761$	−10.3138	−	4.96688i	−0.373876	−	0.180049i	0.237504	−	0.971387i	$-0.423671\pi$
$761$	−10.3138	−	4.96688i	−0.373876	−	0.180049i	−0.611380	+	0.791337i	$0.709385\pi$
$762$	34.5383	−	56.0683i	1.25119	−	2.03114i
$763$	23.6602	−	18.8684i	0.856556	−	0.683081i
$764$	30.5299	+	14.0390i	1.10453	+	0.507912i
$765$	−4.16259	+	5.21972i	−0.150499	+	0.188719i
$766$	45.0689	−	16.2217i	1.62841	−	0.586112i
$767$	−10.1993	+	12.7895i	−0.368275	+	0.461802i
$768$	26.8841	−	39.1247i	0.970095	−	1.41179i
$769$	42.4028	+	9.67816i	1.52908	+	0.349003i	0.902617	−	0.430445i	$-0.141643\pi$
$769$	42.4028	+	9.67816i	1.52908	+	0.349003i	0.626467	+	0.779448i	$0.284500\pi$
$770$	−42.2875	−	14.3762i	−1.52394	−	0.518081i
$771$	−25.2847			−0.910606
$772$	−8.44826	+	0.150303i	−0.304059	+	0.00540952i
$773$	29.0360	−	13.9830i	1.04435	−	0.502933i	0.168594	−	0.985686i	$-0.446077\pi$
$773$	29.0360	−	13.9830i	1.04435	−	0.502933i	0.875757	+	0.482753i	$0.160363\pi$
$774$	36.8852	+	22.7215i	1.32581	+	0.816706i
$775$	5.73579	−	4.57414i	0.206036	−	0.164308i
$776$	−19.5877	−	29.4020i	−0.703159	−	1.05547i
$777$	10.4623	−	45.8381i	0.375331	−	1.64443i
$778$	−23.6522	−	36.9094i	−0.847972	−	1.32326i
$779$	−15.0175	−	31.1841i	−0.538056	−	1.11729i
$780$	42.2391	−	10.4346i	1.51240	−	0.373620i
$781$	3.98700	+	17.4682i	0.142666	+	0.625060i
$782$	0.152944	+	0.424926i	0.00546926	+	0.0151953i
$783$	−32.7098	−	30.5830i	−1.16895	−	1.09295i
$784$	2.08009	−	10.8850i	0.0742890	−	0.388749i
$785$	13.9937	−	3.19398i	0.499458	−	0.113998i
$786$	−62.0896	−	6.43710i	−2.21466	−	0.229604i
$787$	2.52310	+	5.23928i	0.0899389	+	0.186760i	0.941086	−	0.338167i	$-0.109807\pi$
$787$	2.52310	+	5.23928i	0.0899389	+	0.186760i	−0.851147	+	0.524927i	$0.824093\pi$
$788$	24.6550	−	32.0705i	0.878298	−	1.14246i
$789$	65.4197	+	14.9316i	2.32900	+	0.531580i
$790$	9.73631	+	1.00940i	0.346402	+	0.0359130i
$791$	−16.1045	+	12.8429i	−0.572610	+	0.456641i
$792$	98.8761	−	13.8212i	3.51341	−	0.491116i
$793$	−19.2805	−	40.0363i	−0.684670	−	1.42173i
$794$	−21.5533	−	7.32731i	−0.764898	−	0.260036i
$795$	54.8827			1.94649
$796$	−0.307958	−	17.3098i	−0.0109153	−	0.613530i
$797$	−8.03314	+	35.1955i	−0.284548	+	1.24669i	0.607343	+	0.794439i	$0.292235\pi$
$797$	−8.03314	+	35.1955i	−0.284548	+	1.24669i	−0.891892	+	0.452249i	$0.850622\pi$
$798$	−8.44448	−	69.3936i	−0.298931	−	2.45651i
$799$	0.574558	−	0.720473i	0.0203264	−	0.0254885i
$800$	1.97809	+	12.5221i	0.0699359	+	0.442724i
$801$	2.73259	+	2.17917i	0.0965515	+	0.0769972i
$802$	−28.6572	+	29.1715i	−1.01192	+	1.03008i
$803$	−5.37197	+	4.28400i	−0.189573	+	0.151179i
$804$	14.2943	−	68.1976i	0.504121	−	2.40514i
$805$	1.03853	−	2.15653i	0.0366034	−	0.0760078i
$806$	−2.46871	−	20.2870i	−0.0869567	−	0.714578i
$807$	−0.796577	−	3.49003i	−0.0280408	−	0.122855i
$808$	−1.46426	+	17.0809i	−0.0515125	+	0.600904i
$809$	−14.6833	+	30.4901i	−0.516236	+	1.07198i	0.466079	+	0.884743i	$0.345666\pi$
$809$	−14.6833	+	30.4901i	−0.516236	+	1.07198i	−0.982316	+	0.187233i	$0.940048\pi$
$810$	−14.3650	+	9.20538i	−0.504736	+	0.323444i
$811$		−	50.6370i		−	1.77810i	−0.457806	−	0.889052i	$-0.651365\pi$
$811$		−	50.6370i		−	1.77810i	0.457806	−	0.889052i	$-0.348635\pi$
$812$	−9.47247	+	32.3055i	−0.332418	+	1.13370i
$813$		−	83.3007i		−	2.92148i
$814$	−23.5314	−	36.7208i	−0.824774	−	1.28706i
$815$	−17.1258	+	35.5621i	−0.599890	+	1.24568i
$816$	−7.94431	+	2.11317i	−0.278107	+	0.0739757i
$817$	−6.26128	−	27.4325i	−0.219055	−	0.959741i
$818$	21.6377	−	2.63309i	0.756546	−	0.0920638i
$819$	−34.7401	+	72.1386i	−1.21392	+	2.52073i
$820$	21.1133	+	4.42538i	0.737310	+	0.154541i
$821$	−6.54865	+	5.22238i	−0.228550	+	0.182262i	−0.731069	−	0.682304i	$-0.760978\pi$
$821$	−6.54865	+	5.22238i	−0.228550	+	0.182262i	0.502519	+	0.864566i	$0.332407\pi$
$822$	−30.5675	−	30.0285i	−1.06616	−	1.04736i
$823$	−5.71281	−	4.55582i	−0.199136	−	0.158806i	0.518845	−	0.854868i	$-0.326362\pi$
$823$	−5.71281	−	4.55582i	−0.199136	−	0.158806i	−0.717981	+	0.696063i	$0.754934\pi$
$824$	−8.52687	+	14.4101i	−0.297048	+	0.502000i
$825$	−25.2180	+	31.6224i	−0.877979	+	1.10095i
$826$	−16.2612	+	1.97882i	−0.565798	+	0.0688518i
$827$	−5.56628	+	24.3875i	−0.193558	+	0.848035i	0.781112	+	0.624391i	$0.214653\pi$
$827$	−5.56628	+	24.3875i	−0.193558	+	0.848035i	−0.974671	+	0.223644i	$0.928205\pi$
$828$	0.0951720	+	5.34945i	0.00330746	+	0.185906i
$829$	5.60906			0.194811			0.0974053	−	0.995245i	$-0.468946\pi$
$829$	5.60906			0.194811			0.0974053	+	0.995245i	$0.468946\pi$
$830$	−3.47072	+	10.2091i	−0.120471	+	0.354365i
$831$	29.1550	+	60.5410i	1.01138	+	2.10014i
$832$	32.5898	+	13.6036i	1.12985	+	0.471619i
$833$	−1.50038	+	1.19651i	−0.0519852	+	0.0414568i
$834$	6.71772	−	64.7964i	0.232616	−	2.24372i
$835$	15.9769	+	3.64663i	0.552904	+	0.126197i
$836$	−51.4093	−	39.5222i	−1.77803	−	1.36690i
$837$	11.8109	+	24.5256i	0.408244	+	0.847728i
$838$	−0.0849356	+	0.819254i	−0.00293405	+	0.0283007i
$839$	−10.5818	+	2.41522i	−0.365324	+	0.0833828i	−0.401242	−	0.915972i	$-0.631422\pi$
$839$	−10.5818	+	2.41522i	−0.365324	+	0.0833828i	0.0359184	+	0.999355i	$0.488564\pi$
$840$	37.4966	+	22.1878i	1.29375	+	0.765551i
$841$	10.8003	−	26.9138i	0.372424	−	0.928063i
$842$	−37.3372	+	13.4388i	−1.28672	+	0.463131i
$843$	−4.19586	−	18.3833i	−0.144513	−	0.633154i
$844$	23.3675	−	5.77264i	0.804341	−	0.198702i
$845$	4.67487	+	9.70746i	0.160820	+	0.333947i
$846$	9.19194	−	5.89036i	0.316026	−	0.202515i
$847$	18.0864	−	79.2416i	0.621455	−	2.72277i
$848$	35.7941	+	26.5181i	1.22917	+	0.910634i
$849$	−50.2898	+	40.1047i	−1.72594	+	1.37639i
$850$	1.15142	−	1.86917i	0.0394933	−	0.0641121i
$851$	2.10579	−	1.01410i	0.0721857	−	0.0347628i
$852$	−0.310904	−	17.4754i	−0.0106514	−	0.598696i
$853$	48.4422			1.65863			0.829315	−	0.558781i	$-0.188731\pi$
$853$	48.4422			1.65863			0.829315	+	0.558781i	$0.188731\pi$
$854$	14.3229	−	42.1307i	0.490118	−	1.44168i
$855$	50.0845	+	11.4315i	1.71285	+	0.390948i
$856$	10.2148	−	10.7750i	0.349134	−	0.368282i
$857$	12.6947	−	15.9187i	0.433643	−	0.543771i	−0.516213	−	0.856460i	$-0.672659\pi$
$857$	12.6947	−	15.9187i	0.433643	−	0.543771i	0.949855	+	0.312690i	$0.101230\pi$
$858$	38.1572	+	106.013i	1.30266	+	3.61921i
$859$	−4.01421	+	5.03366i	−0.136963	+	0.171746i	−0.845583	−	0.533844i	$-0.820747\pi$
$859$	−4.01421	+	5.03366i	−0.136963	+	0.171746i	0.708620	+	0.705591i	$0.249318\pi$
$860$	15.9334	+	7.32688i	0.543324	+	0.249844i
$861$	−47.0839	+	37.5481i	−1.60461	+	1.27964i
$862$	−8.42477	−	5.18969i	−0.286949	−	0.176762i
$863$	39.0741	+	18.8171i	1.33010	+	0.640541i	0.957763	−	0.287558i	$-0.0928434\pi$
$863$	39.0741	+	18.8171i	1.33010	+	0.640541i	0.372334	+	0.928099i	$0.378558\pi$
$864$	−46.9314	−	3.18339i	−1.59664	−	0.108301i
$865$	−3.50143	−	15.3408i	−0.119052	−	0.521602i
$866$	−12.7658	−	12.5407i	−0.433798	−	0.426149i
$867$	−44.1604	−	21.2665i	−1.49977	−	0.722249i
$868$	12.4731	−	16.2246i	0.423365	−	0.550700i
$869$			25.3483i			0.859882i
$870$	−30.3104	−	22.1330i	−1.02762	−	0.750377i
$871$	51.8366			1.75642
$872$	−8.35143	+	26.0791i	−0.282815	+	0.883150i
$873$	−31.4480	+	65.3025i	−1.06435	+	2.21016i
$874$	2.43529	−	2.47900i	0.0823749	−	0.0838535i
$875$	−36.6525	+	8.36569i	−1.23908	+	0.282812i
$876$	5.98610	−	3.01508i	0.202252	−	0.101870i
$877$	10.3152	−	21.4197i	0.348319	−	0.723293i	−0.651041	−	0.759042i	$-0.725668\pi$
$877$	10.3152	−	21.4197i	0.348319	−	0.723293i	0.999361	+	0.0357495i	$0.0113818\pi$
$878$	−20.7655	−	12.7916i	−0.700802	−	0.431697i
$879$	−41.9853	−	52.6479i	−1.41613	−	1.77577i
$880$	39.0574	−	10.3892i	1.31663	−	0.350219i
$881$	12.8779	+	10.2698i	0.433868	+	0.345998i	0.815942	−	0.578133i	$-0.196219\pi$
$881$	12.8779	+	10.2698i	0.433868	+	0.345998i	−0.382074	+	0.924132i	$0.624790\pi$
$882$	−21.3918	+	7.69957i	−0.720301	+	0.259258i
$883$	−13.1728	−	10.5050i	−0.443301	−	0.353521i	0.376258	−	0.926515i	$-0.377211\pi$
$883$	−13.1728	−	10.5050i	−0.443301	−	0.353521i	−0.819560	+	0.572994i	$0.805782\pi$
$884$	−2.75101	−	5.46181i	−0.0925265	−	0.183701i
$885$	4.06368	−	17.8042i	0.136599	−	0.598480i
$886$	6.41563	−	18.8716i	0.215537	−	0.634003i
$887$		−	26.8345i		−	0.901013i	−0.892773	−	0.450507i	$-0.851243\pi$
$887$		−	26.8345i		−	0.901013i	0.892773	−	0.450507i	$-0.148757\pi$
$888$	15.1179	+	39.7677i	0.507323	+	1.33452i
$889$	21.2853	+	44.1994i	0.713887	+	1.48240i
$890$	1.20465	+	0.742071i	0.0403801	+	0.0248743i
$891$	−27.5473	−	34.5432i	−0.922868	−	1.15724i
$892$	6.93527	−	1.71327i	0.232210	−	0.0573646i
$893$	−6.91312	−	1.57787i	−0.231339	−	0.0528016i
$894$	−27.6397	+	17.7120i	−0.924411	+	0.592379i
$895$	−7.70558	+	3.71081i	−0.257569	+	0.124039i
$896$	13.7343	+	32.5882i	0.458832	+	1.08869i
$897$	−5.88664	+	1.34359i	−0.196549	+	0.0448611i
$898$	−6.73493	−	18.7118i	−0.224748	−	0.624420i
$899$	−12.0398	+	12.8771i	−0.401550	+	0.429474i
$900$	20.0426	−	16.5752i	0.668087	−	0.552507i
$901$	−1.71657	−	7.52078i	−0.0571872	−	0.250554i
$902$	−5.76070	+	55.5654i	−0.191810	+	1.85013i
$903$	−44.1101	+	21.2423i	−1.46789	+	0.706899i
$904$	5.68447	−	17.7510i	0.189063	−	0.590388i
$905$	1.22040	−	5.34694i	0.0405676	−	0.177738i
$906$	−37.4928	−	3.88704i	−1.24562	−	0.129138i
$907$	8.50254	+	10.6618i	0.282322	+	0.354021i	0.902691	−	0.430289i	$-0.141589\pi$
$907$	8.50254	+	10.6618i	0.282322	+	0.354021i	−0.620369	+	0.784310i	$0.713017\pi$
$908$	1.85747	−	8.86191i	0.0616423	−	0.294093i
$909$	31.6880	−	15.2602i	1.05103	−	0.506148i
$910$	−10.4326	+	30.6876i	−0.345839	+	1.01729i
$911$		−	28.6698i		−	0.949872i	−0.880020	−	0.474936i	$-0.842471\pi$
$911$		−	28.6698i		−	0.949872i	0.880020	−	0.474936i	$-0.157529\pi$
$912$	41.1734	+	48.0210i	1.36339	+	1.59013i
$913$	−27.2235	−	6.21359i	−0.900967	−	0.205640i
$914$	4.98238	+	40.9433i	0.164802	+	1.35428i
$915$	38.7852	+	30.9302i	1.28220	+	1.02252i
$916$	11.5990	−	9.59238i	0.383243	−	0.316941i
$917$	28.9938	−	36.3571i	0.957459	−	1.20062i
$918$	5.81095	+	5.70849i	0.191790	+	0.188408i
$919$	−11.3817	−	14.2722i	−0.375449	−	0.470798i	0.557828	−	0.829957i	$-0.311635\pi$
$919$	−11.3817	−	14.2722i	−0.375449	−	0.470798i	−0.933276	+	0.359159i	$0.883064\pi$
$920$	0.299838	+	2.14502i	0.00988536	+	0.0707192i
$921$	−30.1229	−	14.5064i	−0.992583	−	0.478003i
$922$	4.97548	+	40.8866i	0.163859	+	1.34653i
$923$	12.6765	−	2.89332i	0.417251	−	0.0952349i
$924$	−47.1380	+	102.509i	−1.55072	+	3.37229i
$925$	−10.2366	−	4.92966i	−0.336576	−	0.162086i
$926$	−21.3290	−	33.2841i	−0.700916	−	1.09378i
$927$	34.3512			1.12824
$928$	−9.07408	−	29.0803i	−0.297871	−	0.954606i
$929$	22.2653			0.730499			0.365250	−	0.930910i	$-0.380984\pi$
$929$	22.2653			0.730499			0.365250	+	0.930910i	$0.380984\pi$
$930$	12.3096	+	19.2092i	0.403647	+	0.629893i
$931$	13.3044	+	6.40706i	0.436034	+	0.209983i
$932$	−1.67644	+	3.64568i	−0.0549137	+	0.119418i
$933$	77.1372	−	17.6061i	2.52536	−	0.576396i
$934$	5.48365	+	45.0626i	0.179431	+	1.47449i
$935$	−6.30567	−	3.03665i	−0.206218	−	0.0993092i
$936$	−10.0299	−	71.7534i	−0.327839	−	2.34533i
$937$	−21.1050	−	26.4648i	−0.689470	−	0.864568i	0.306718	−	0.951801i	$-0.400769\pi$
$937$	−21.1050	−	26.4648i	−0.689470	−	0.864568i	−0.996188	+	0.0872321i	$0.972198\pi$
$938$	37.0300	+	36.3771i	1.20907	+	1.18775i
$939$	1.56936	−	1.96791i	0.0512141	−	0.0642204i
$940$	3.40573	−	2.81653i	0.111083	−	0.0918651i
$941$	−24.0962	−	19.2161i	−0.785513	−	0.626426i	0.146351	−	0.989233i	$-0.453247\pi$
$941$	−24.0962	−	19.2161i	−0.785513	−	0.626426i	−0.931864	+	0.362807i	$0.881818\pi$
$942$	−4.38002	−	35.9933i	−0.142709	−	1.17273i
$943$	−2.91866	−	0.666165i	−0.0950446	−	0.0216933i
$944$	11.2529	−	9.64825i	0.366250	−	0.314024i
$945$		−	43.1731i		−	1.40442i
$946$	−14.6176	+	42.9978i	−0.475260	+	1.39798i
$947$	6.72803	−	3.24005i	0.218632	−	0.105287i	−0.321362	−	0.946956i	$-0.604141\pi$
$947$	6.72803	−	3.24005i	0.218632	−	0.105287i	0.539994	+	0.841669i	$0.318426\pi$
$948$	5.07255	−	24.2009i	0.164749	−	0.786010i
$949$	3.10886	+	3.89838i	0.100918	+	0.126547i
$950$	−16.8027	−	1.74201i	−0.545152	−	0.0565182i
$951$	19.5722	−	85.7516i	0.634674	−	2.78069i
$952$	1.86769	−	5.83226i	0.0605322	−	0.189025i
$953$	−17.1008	+	8.23529i	−0.553948	+	0.266767i	−0.689847	−	0.723956i	$-0.742322\pi$
$953$	−17.1008	+	8.23529i	−0.553948	+	0.266767i	0.135899	+	0.990723i	$0.456608\pi$
$954$	9.42436	−	90.9036i	0.305125	−	2.94311i
$955$	−6.20998	−	27.2077i	−0.200950	−	0.880420i
$956$	29.2399	−	24.1813i	0.945685	−	0.782079i
$957$	48.9158	−	83.9839i	1.58122	−	2.71482i
$958$	−1.10028	−	3.05694i	−0.0355486	−	0.0987652i
$959$	31.1210	−	7.10316i	1.00495	−	0.229373i
$960$	−39.3686	+	2.10299i	−1.27061	+	0.0678738i
$961$	−18.2749	+	8.80072i	−0.589513	+	0.283894i
$962$	−26.6479	+	17.0765i	−0.859164	+	0.550568i
$963$	−29.6965	−	6.77804i	−0.956957	−	0.218419i
$964$	−4.50576	+	1.11309i	−0.145121	+	0.0358503i
$965$	4.37528	+	5.48642i	0.140845	+	0.176614i
$966$	−5.14807	−	3.17123i	−0.165636	−	0.102033i
$967$	−6.87320	−	14.2723i	−0.221027	−	0.458968i	0.760740	−	0.649057i	$-0.224836\pi$
$967$	−6.87320	−	14.2723i	−0.221027	−	0.458968i	−0.981767	+	0.190090i	$0.939122\pi$
$968$	26.1347	+	68.7474i	0.840001	+	2.20963i
$969$		−	10.9540i		−	0.351892i
$970$	−9.44401	+	27.7796i	−0.303229	+	0.891949i
$971$	−10.0206	+	43.9031i	−0.321576	+	1.40892i	0.513172	+	0.858286i	$0.328470\pi$
$971$	−10.0206	+	43.9031i	−0.321576	+	1.40892i	−0.834748	+	0.550632i	$0.814387\pi$
$972$	−3.05597	−	6.06728i	−0.0980203	−	0.194608i
$973$	37.9420	+	30.2578i	1.21637	+	0.970019i
$974$	−2.43220	+	0.875422i	−0.0779327	+	0.0280503i
$975$	22.9481	+	18.3005i	0.734926	+	0.586084i
$976$	10.3507	+	38.9126i	0.331316	+	1.24556i
$977$	12.9313	+	16.2153i	0.413709	+	0.518774i	0.944403	−	0.328789i	$-0.106640\pi$
$977$	12.9313	+	16.2153i	0.413709	+	0.518774i	−0.530695	+	0.847563i	$0.678069\pi$
$978$	84.8936	+	52.2948i	2.71460	+	1.67220i
$979$	−1.58973	+	3.30111i	−0.0508080	+	0.105504i
$980$	−8.21977	+	4.14014i	−0.262571	+	0.132252i
$981$	54.7709	−	12.5011i	1.74870	−	0.399129i
$982$	6.98181	−	7.10713i	0.222799	−	0.226798i
$983$	6.22630	−	12.9290i	0.198588	−	0.412372i	−0.777765	−	0.628555i	$-0.783647\pi$
$983$	6.22630	−	12.9290i	0.198588	−	0.412372i	0.976353	+	0.216183i	$0.0693608\pi$
$984$	16.6194	−	51.8975i	0.529806	−	1.65443i
$985$	−33.5957			−1.07045
$986$	−2.08494	+	4.84581i	−0.0663980	+	0.154322i
$987$			12.3378i			0.392716i
$988$	−28.6808	+	37.3072i	−0.912459	+	1.18690i
$989$	−2.19275	−	1.05597i	−0.0697255	−	0.0335780i
$990$	−59.1490	−	58.1061i	−1.87988	−	1.84673i
$991$	−5.55689	−	24.3463i	−0.176521	−	0.773387i	−0.983220	−	0.182425i	$-0.941605\pi$
$991$	−5.55689	−	24.3463i	−0.176521	−	0.773387i	0.806699	−	0.590962i	$-0.201252\pi$
$992$	−1.25323	+	18.4758i	−0.0397899	+	0.586606i
$993$	−19.1654	−	9.22959i	−0.608197	−	0.292892i
$994$	11.0860	+	6.82902i	0.351627	+	0.216603i
$995$	−11.2412	+	8.96459i	−0.356371	+	0.284197i
$996$	24.7479	+	11.3801i	0.784166	+	0.360594i
$997$	−36.8403	+	46.1963i	−1.16674	+	1.46305i	−0.307453	+	0.951563i	$0.599477\pi$
$997$	−36.8403	+	46.1963i	−1.16674	+	1.46305i	−0.859291	+	0.511487i	$0.829095\pi$
$998$	−19.9966	−	55.5570i	−0.632983	−	1.75863i
$999$	26.2847	−	32.9600i	0.831611	−	1.04281i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	232.2.o.a.109.21	yes	168
4.3	odd	2		928.2.be.a.689.27		168
8.3	odd	2		928.2.be.a.689.2		168
8.5	even	2	inner	232.2.o.a.109.16	✓	168
29.4	even	14	inner	232.2.o.a.149.16	yes	168
116.91	odd	14		928.2.be.a.497.2		168
232.91	odd	14		928.2.be.a.497.27		168
232.149	even	14	inner	232.2.o.a.149.21	yes	168

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
232.2.o.a.109.16	✓	168	8.5	even	2	inner
232.2.o.a.109.21	yes	168	1.1	even	1	trivial
232.2.o.a.149.16	yes	168	29.4	even	14	inner
232.2.o.a.149.21	yes	168	232.149	even	14	inner
928.2.be.a.497.2		168	116.91	odd	14
928.2.be.a.497.27		168	232.91	odd	14
928.2.be.a.689.2		168	8.3	odd	2
928.2.be.a.689.27		168	4.3	odd	2

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:	\( N \)	\(=\)	\( 232 = 2^{3} \cdot 29 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	232.o (of order \(14\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.763028 + 1.19071i) q^{2} +(-2.67312 - 1.28730i) q^{3} +(-0.835577 + 1.81709i) q^{4} +(1.61936 - 0.369608i) q^{5} +(-0.506856 - 4.16515i) q^{6} +(2.81623 + 1.35622i) q^{7} +(-2.80119 + 0.391560i) q^{8} +(3.61793 + 4.53674i) q^{9} +O(q^{10})\)	\(q+(0.763028 + 1.19071i) q^{2} +(-2.67312 - 1.28730i) q^{3} +(-0.835577 + 1.81709i) q^{4} +(1.61936 - 0.369608i) q^{5} +(-0.506856 - 4.16515i) q^{6} +(2.81623 + 1.35622i) q^{7} +(-2.80119 + 0.391560i) q^{8} +(3.61793 + 4.53674i) q^{9} +(1.67571 + 1.64616i) q^{10} +(-3.79269 + 4.75589i) q^{11} +(4.57274 - 3.78165i) q^{12} +(3.45130 + 2.75232i) q^{13} +(0.533992 + 4.38815i) q^{14} +(-4.80453 - 1.09660i) q^{15} +(-2.60362 - 3.03663i) q^{16} +0.692681i q^{17} +(-2.64135 + 7.76955i) q^{18} +(4.80220 - 2.31262i) q^{19} +(-0.681488 + 3.25135i) q^{20} +(-5.78223 - 7.25069i) q^{21} +(-8.55681 - 0.887120i) q^{22} +(0.102586 - 0.449459i) q^{23} +(7.99197 + 2.55930i) q^{24} +(-2.01914 + 0.972364i) q^{25} +(-0.643775 + 6.20959i) q^{26} +(-1.85036 - 8.10695i) q^{27} +(-4.81755 + 3.98411i) q^{28} +(4.46096 - 3.01660i) q^{29} +(-2.36025 - 6.55753i) q^{30} +(-3.19152 + 0.728443i) q^{31} +(1.62911 - 5.41719i) q^{32} +(16.2606 - 7.83068i) q^{33} +(-0.824782 + 0.528535i) q^{34} +(5.06175 + 1.15531i) q^{35} +(-11.2667 + 2.78330i) q^{36} +(3.16095 + 3.96371i) q^{37} +(6.41786 + 3.95343i) q^{38} +(-5.68265 - 11.8001i) q^{39} +(-4.39141 + 1.66942i) q^{40} -6.49371i q^{41} +(4.22146 - 12.4174i) q^{42} +(1.17472 - 5.14677i) q^{43} +(-5.47278 - 10.8656i) q^{44} +(7.53553 + 6.00938i) q^{45} +(0.613451 - 0.220800i) q^{46} +(-1.04012 - 0.829470i) q^{47} +(3.05071 + 11.4689i) q^{48} +(1.72737 + 2.16605i) q^{49} +(-2.69846 - 1.66226i) q^{50} +(0.891692 - 1.85162i) q^{51} +(-7.88503 + 3.97154i) q^{52} +(-10.8575 + 2.47815i) q^{53} +(8.24115 - 8.38907i) q^{54} +(-4.38391 + 9.10329i) q^{55} +(-8.41984 - 2.69632i) q^{56} -15.8139 q^{57} +(6.99572 + 3.00996i) q^{58} +3.70570i q^{59} +(6.00718 - 7.81396i) q^{60} +(-9.06953 - 4.36766i) q^{61} +(-3.30258 - 3.24435i) q^{62} +(4.03607 + 17.6832i) q^{63} +(7.69336 - 2.19367i) q^{64} +(6.60617 + 3.18136i) q^{65} +(21.7313 + 13.3866i) q^{66} +(9.18080 - 7.32144i) q^{67} +(-1.25866 - 0.578788i) q^{68} +(-0.852816 + 1.06940i) q^{69} +(2.48662 + 6.90861i) q^{70} +(1.83648 - 2.30287i) q^{71} +(-11.9109 - 11.2916i) q^{72} +(1.10122 + 0.251346i) q^{73} +(-2.30773 + 6.78819i) q^{74} +6.64911 q^{75} +(0.189623 + 10.6584i) q^{76} +(-17.1311 + 8.24992i) q^{77} +(9.71452 - 15.7702i) q^{78} +(3.25794 - 2.59812i) q^{79} +(-5.33856 - 3.95508i) q^{80} +(-1.61623 + 7.08114i) q^{81} +(7.73212 - 4.95488i) q^{82} +(1.99171 + 4.13583i) q^{83} +(18.0066 - 4.44832i) q^{84} +(0.256020 + 1.12170i) q^{85} +(7.02465 - 2.52838i) q^{86} +(-15.8079 + 2.32110i) q^{87} +(8.76185 - 14.8072i) q^{88} +(0.587224 - 0.134030i) q^{89} +(-1.40561 + 13.5580i) q^{90} +(5.98688 + 12.4319i) q^{91} +(0.730989 + 0.561966i) q^{92} +(9.46902 + 2.16124i) q^{93} +(0.194015 - 1.87139i) q^{94} +(6.92171 - 5.51988i) q^{95} +(-11.3284 + 12.3836i) q^{96} +(5.41955 + 11.2538i) q^{97} +(-1.26111 + 3.70955i) q^{98} -35.2979 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 168 q - 7 q^{2} - 3 q^{4} - 7 q^{6} - 6 q^{7} - 28 q^{8} - 34 q^{9}+O(q^{10}) \) 168 * q - 7 * q^2 - 3 * q^4 - 7 * q^6 - 6 * q^7 - 28 * q^8 - 34 * q^9	\( 168 q - 7 q^{2} - 3 q^{4} - 7 q^{6} - 6 q^{7} - 28 q^{8} - 34 q^{9} - 7 q^{10} - 7 q^{14} - 14 q^{15} + 5 q^{16} - 56 q^{18} - 27 q^{20} - 12 q^{22} - 6 q^{23} + 9 q^{24} + 14 q^{25} - 7 q^{26} + 16 q^{28} - 22 q^{30} - 14 q^{31} - 42 q^{32} + 2 q^{33} - 5 q^{34} + 4 q^{36} + 58 q^{38} + 70 q^{39} - 7 q^{40} - 32 q^{42} - 14 q^{44} - 14 q^{47} - 84 q^{48} - 26 q^{49} + 42 q^{50} + 16 q^{52} + 40 q^{54} - 14 q^{55} - 7 q^{56} - 12 q^{57} + 53 q^{58} - 126 q^{60} + 57 q^{62} + 50 q^{63} - 30 q^{64} - 60 q^{65} + 133 q^{66} - 28 q^{68} - 46 q^{71} - 119 q^{72} - 84 q^{73} - 40 q^{74} - 77 q^{76} + 29 q^{78} - 154 q^{79} + 66 q^{80} - 26 q^{81} - 48 q^{82} + 63 q^{84} - 32 q^{86} - 46 q^{87} - 10 q^{88} - 14 q^{89} + 140 q^{90} + 20 q^{92} - 26 q^{94} - 14 q^{95} + 136 q^{96} + 28 q^{98}+O(q^{100}) \) 168 * q - 7 * q^2 - 3 * q^4 - 7 * q^6 - 6 * q^7 - 28 * q^8 - 34 * q^9 - 7 * q^10 - 7 * q^14 - 14 * q^15 + 5 * q^16 - 56 * q^18 - 27 * q^20 - 12 * q^22 - 6 * q^23 + 9 * q^24 + 14 * q^25 - 7 * q^26 + 16 * q^28 - 22 * q^30 - 14 * q^31 - 42 * q^32 + 2 * q^33 - 5 * q^34 + 4 * q^36 + 58 * q^38 + 70 * q^39 - 7 * q^40 - 32 * q^42 - 14 * q^44 - 14 * q^47 - 84 * q^48 - 26 * q^49 + 42 * q^50 + 16 * q^52 + 40 * q^54 - 14 * q^55 - 7 * q^56 - 12 * q^57 + 53 * q^58 - 126 * q^60 + 57 * q^62 + 50 * q^63 - 30 * q^64 - 60 * q^65 + 133 * q^66 - 28 * q^68 - 46 * q^71 - 119 * q^72 - 84 * q^73 - 40 * q^74 - 77 * q^76 + 29 * q^78 - 154 * q^79 + 66 * q^80 - 26 * q^81 - 48 * q^82 + 63 * q^84 - 32 * q^86 - 46 * q^87 - 10 * q^88 - 14 * q^89 + 140 * q^90 + 20 * q^92 - 26 * q^94 - 14 * q^95 + 136 * q^96 + 28 * q^98

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