LMFDB - Embedded newform 96.2.o.a.11.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [96,2,Mod(11,96)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(96, base_ring=CyclotomicField(8))

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

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

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

chi := DirichletCharacter("96.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 96 = 2^{5} \cdot 3 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	96.o (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:	$0.766563859404$
Analytic rank:	$0$
Dimension:	$56$
Relative dimension:	$14$ over $\Q(\zeta_{8})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label			11.6
Character	$\chi$	$=$	96.11
Dual form			96.2.o.a.35.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.478581 - 1.33077i) q^{2} +(1.18890 + 1.25957i) q^{3} +(-1.54192 + 1.27377i) q^{4} +(1.06973 + 0.443098i) q^{5} +(1.10722 - 2.18496i) q^{6} +(2.37247 - 2.37247i) q^{7} +(2.43303 + 1.44235i) q^{8} +(-0.173046 + 2.99501i) q^{9} +O(q^{10})$	\(q+(-0.478581 - 1.33077i) q^{2} +(1.18890 + 1.25957i) q^{3} +(-1.54192 + 1.27377i) q^{4} +(1.06973 + 0.443098i) q^{5} +(1.10722 - 2.18496i) q^{6} +(2.37247 - 2.37247i) q^{7} +(2.43303 + 1.44235i) q^{8} +(-0.173046 + 2.99501i) q^{9} +(0.0777099 - 1.63563i) q^{10} +(-5.50127 - 2.27870i) q^{11} +(-3.43759 - 0.427784i) q^{12} +(0.346353 + 0.836171i) q^{13} +(-4.29263 - 2.02180i) q^{14} +(0.713689 + 1.87421i) q^{15} +(0.755041 - 3.92809i) q^{16} +0.685064 q^{17} +(4.06849 - 1.20307i) q^{18} +(-3.35074 + 1.38792i) q^{19} +(-2.21385 + 0.679368i) q^{20} +(5.80891 + 0.167674i) q^{21} +(-0.399635 + 8.41149i) q^{22} +(-2.05133 + 2.05133i) q^{23} +(1.07588 + 4.77938i) q^{24} +(-2.58754 - 2.58754i) q^{25} +(0.946997 - 0.861094i) q^{26} +(-3.97816 + 3.34279i) q^{27} +(-0.636189 + 6.68012i) q^{28} +(1.98869 + 4.80112i) q^{29} +(2.15259 - 1.84672i) q^{30} -6.36503i q^{31} +(-5.58875 + 0.875120i) q^{32} +(-3.67025 - 9.63838i) q^{33} +(-0.327858 - 0.911666i) q^{34} +(3.58914 - 1.48667i) q^{35} +(-3.54811 - 4.83848i) q^{36} +(0.112738 - 0.272172i) q^{37} +(3.45061 + 3.79484i) q^{38} +(-0.641440 + 1.43038i) q^{39} +(1.96359 + 2.62100i) q^{40} +(3.26585 + 3.26585i) q^{41} +(-2.55690 - 7.81060i) q^{42} +(-0.993018 + 2.39736i) q^{43} +(11.3850 - 3.49375i) q^{44} +(-1.51219 + 3.12718i) q^{45} +(3.71159 + 1.74813i) q^{46} -11.7975i q^{47} +(5.84538 - 3.71907i) q^{48} -4.25719i q^{49} +(-2.20508 + 4.68178i) q^{50} +(0.814471 + 0.862888i) q^{51} +(-1.59914 - 0.848137i) q^{52} +(1.56192 - 3.77080i) q^{53} +(6.35237 + 3.69424i) q^{54} +(-4.87520 - 4.87520i) q^{55} +(9.19420 - 2.35035i) q^{56} +(-5.73187 - 2.57040i) q^{57} +(5.43746 - 4.94422i) q^{58} +(2.20815 - 5.33094i) q^{59} +(-3.48775 - 1.98080i) q^{60} +(-1.53549 + 0.636020i) q^{61} +(-8.47042 + 3.04618i) q^{62} +(6.69500 + 7.51609i) q^{63} +(3.83926 + 7.01855i) q^{64} +1.04795i q^{65} +(-11.0700 + 9.49703i) q^{66} +(4.69605 + 11.3373i) q^{67} +(-1.05631 + 0.872611i) q^{68} +(-5.02262 - 0.144978i) q^{69} +(-3.69612 - 4.06485i) q^{70} +(7.99150 + 7.99150i) q^{71} +(-4.74087 + 7.03734i) q^{72} +(-2.34760 + 2.34760i) q^{73} +(-0.416154 - 0.0197717i) q^{74} +(0.182875 - 6.33551i) q^{75} +(3.39869 - 6.40812i) q^{76} +(-18.4577 + 7.64543i) q^{77} +(2.21049 + 0.169060i) q^{78} +8.91043 q^{79} +(2.54822 - 3.86746i) q^{80} +(-8.94011 - 1.03655i) q^{81} +(2.78314 - 5.90908i) q^{82} +(3.06920 + 7.40970i) q^{83} +(-9.17046 + 7.14065i) q^{84} +(0.732836 + 0.303551i) q^{85} +(3.66558 + 0.174154i) q^{86} +(-3.68301 + 8.21294i) q^{87} +(-10.0981 - 13.4789i) q^{88} +(1.99332 - 1.99332i) q^{89} +(4.88528 + 0.515781i) q^{90} +(2.80550 + 1.16208i) q^{91} +(0.550075 - 5.77591i) q^{92} +(8.01722 - 7.56737i) q^{93} +(-15.6997 + 5.64603i) q^{94} -4.19938 q^{95} +(-7.74673 - 5.99901i) q^{96} +8.66510 q^{97} +(-5.66537 + 2.03741i) q^{98} +(7.77669 - 16.0820i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 56 q - 4 q^{3} - 8 q^{4} - 4 q^{6} - 8 q^{7} - 4 q^{9}+O(q^{10}) $ 56 * q - 4 * q^3 - 8 * q^4 - 4 * q^6 - 8 * q^7 - 4 * q^9	$ 56 q - 4 q^{3} - 8 q^{4} - 4 q^{6} - 8 q^{7} - 4 q^{9} - 16 q^{10} - 4 q^{12} - 8 q^{13} - 8 q^{15} - 40 q^{16} - 4 q^{18} - 8 q^{19} - 4 q^{21} - 24 q^{22} + 16 q^{24} - 8 q^{25} - 28 q^{27} - 8 q^{28} + 44 q^{30} - 8 q^{33} - 24 q^{34} + 48 q^{36} - 8 q^{37} - 28 q^{39} + 24 q^{40} + 56 q^{42} - 8 q^{43} - 4 q^{45} + 24 q^{46} + 48 q^{48} - 16 q^{51} + 48 q^{52} + 40 q^{54} + 24 q^{55} - 4 q^{57} + 96 q^{58} + 8 q^{60} - 40 q^{61} + 40 q^{64} - 28 q^{66} + 56 q^{67} - 4 q^{69} + 40 q^{70} - 64 q^{72} - 8 q^{73} + 16 q^{75} + 48 q^{76} - 92 q^{78} + 16 q^{79} - 48 q^{82} - 136 q^{84} - 48 q^{85} + 52 q^{87} - 48 q^{88} - 136 q^{90} + 40 q^{91} + 8 q^{93} - 64 q^{94} - 104 q^{96} - 16 q^{97} + 60 q^{99}+O(q^{100}) $ 56 * q - 4 * q^3 - 8 * q^4 - 4 * q^6 - 8 * q^7 - 4 * q^9 - 16 * q^10 - 4 * q^12 - 8 * q^13 - 8 * q^15 - 40 * q^16 - 4 * q^18 - 8 * q^19 - 4 * q^21 - 24 * q^22 + 16 * q^24 - 8 * q^25 - 28 * q^27 - 8 * q^28 + 44 * q^30 - 8 * q^33 - 24 * q^34 + 48 * q^36 - 8 * q^37 - 28 * q^39 + 24 * q^40 + 56 * q^42 - 8 * q^43 - 4 * q^45 + 24 * q^46 + 48 * q^48 - 16 * q^51 + 48 * q^52 + 40 * q^54 + 24 * q^55 - 4 * q^57 + 96 * q^58 + 8 * q^60 - 40 * q^61 + 40 * q^64 - 28 * q^66 + 56 * q^67 - 4 * q^69 + 40 * q^70 - 64 * q^72 - 8 * q^73 + 16 * q^75 + 48 * q^76 - 92 * q^78 + 16 * q^79 - 48 * q^82 - 136 * q^84 - 48 * q^85 + 52 * q^87 - 48 * q^88 - 136 * q^90 + 40 * q^91 + 8 * q^93 - 64 * q^94 - 104 * q^96 - 16 * q^97 + 60 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/96\mathbb{Z}\right)^\times$.

$n$	$31$	$37$	$65$
$\chi(n)$	$-1$	$e\left(\frac{5}{8}\right)$	$-1$

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 $

$2$	−0.478581	−	1.33077i	−0.338408	−	0.941000i
$2$	−0.478581	−	1.33077i	−0.338408	−	0.941000i
$3$	1.18890	+	1.25957i	0.686410	+	0.727215i
$3$	1.18890	+	1.25957i	0.686410	+	0.727215i
$4$	−1.54192	+	1.27377i	−0.770961	+	0.636883i
$5$	1.06973	+	0.443098i	0.478400	+	0.198160i	0.608834	−	0.793297i	$-0.291637\pi$
$5$	1.06973	+	0.443098i	0.478400	+	0.198160i	−0.130435	+	0.991457i	$0.541637\pi$
$6$	1.10722	−	2.18496i	0.452022	−	0.892007i
$7$	2.37247	−	2.37247i	0.896708	−	0.896708i	−0.0984354	−	0.995143i	$-0.531384\pi$
$7$	2.37247	−	2.37247i	0.896708	−	0.896708i	0.995143	+	0.0984354i	$0.0313838\pi$
$8$	2.43303	+	1.44235i	0.860206	+	0.509948i
$9$	−0.173046	+	2.99501i	−0.0576820	+	0.998335i
$10$	0.0777099	−	1.63563i	0.0245740	−	0.517232i
$11$	−5.50127	−	2.27870i	−1.65869	−	0.687054i	−0.660718	−	0.750635i	$-0.729748\pi$
$11$	−5.50127	−	2.27870i	−1.65869	−	0.687054i	−0.997977	+	0.0635809i	$0.979748\pi$
$12$	−3.43759	−	0.427784i	−0.992346	−	0.123491i
$13$	0.346353	+	0.836171i	0.0960612	+	0.231912i	0.964604	−	0.263701i	$-0.0849433\pi$
$13$	0.346353	+	0.836171i	0.0960612	+	0.231912i	−0.868543	+	0.495613i	$0.834943\pi$
$14$	−4.29263	−	2.02180i	−1.14725	−	0.540349i
$15$	0.713689	+	1.87421i	0.184274	+	0.483918i
$16$	0.755041	−	3.92809i	0.188760	−	0.982023i
$17$	0.685064			0.166152			0.0830762	−	0.996543i	$-0.473526\pi$
$17$	0.685064			0.166152			0.0830762	+	0.996543i	$0.473526\pi$
$18$	4.06849	−	1.20307i	0.958953	−	0.283566i
$19$	−3.35074	+	1.38792i	−0.768712	+	0.318411i	−0.732351	−	0.680928i	$-0.761577\pi$
$19$	−3.35074	+	1.38792i	−0.768712	+	0.318411i	−0.0363614	+	0.999339i	$0.511577\pi$
$20$	−2.21385	+	0.679368i	−0.495032	+	0.151911i
$21$	5.80891	+	0.167674i	1.26761	+	0.0365895i
$22$	−0.399635	+	8.41149i	−0.0852024	+	1.79333i
$23$	−2.05133	+	2.05133i	−0.427732	+	0.427732i	−0.887855	−	0.460123i	$-0.847805\pi$
$23$	−2.05133	+	2.05133i	−0.427732	+	0.427732i	0.460123	+	0.887855i	$0.347805\pi$
$24$	1.07588	+	4.77938i	0.219613	+	0.975587i
$25$	−2.58754	−	2.58754i	−0.517508	−	0.517508i
$26$	0.946997	−	0.861094i	0.185721	−	0.168874i
$27$	−3.97816	+	3.34279i	−0.765597	+	0.643320i
$28$	−0.636189	+	6.68012i	−0.120228	+	1.26242i
$29$	1.98869	+	4.80112i	0.369291	+	0.891546i	0.993867	+	0.110582i	$0.0352716\pi$
$29$	1.98869	+	4.80112i	0.369291	+	0.891546i	−0.624576	+	0.780964i	$0.714728\pi$
$30$	2.15259	−	1.84672i	0.393007	−	0.337163i
$31$		−	6.36503i		−	1.14319i	−0.820535	−	0.571596i	$-0.806324\pi$
$31$		−	6.36503i		−	1.14319i	0.820535	−	0.571596i	$-0.193676\pi$
$32$	−5.58875	+	0.875120i	−0.987961	+	0.154701i
$33$	−3.67025	−	9.63838i	−0.638909	−	1.67783i
$34$	−0.327858	−	0.911666i	−0.0562273	−	0.156349i
$35$	3.58914	−	1.48667i	0.606676	−	0.251293i
$36$	−3.54811	−	4.83848i	−0.591352	−	0.806414i
$37$	0.112738	−	0.272172i	0.0185339	−	0.0447449i	−0.914342	−	0.404944i	$-0.867291\pi$
$37$	0.112738	−	0.272172i	0.0185339	−	0.0447449i	0.932876	+	0.360199i	$0.117291\pi$
$38$	3.45061	+	3.79484i	0.559763	+	0.615605i
$39$	−0.641440	+	1.43038i	−0.102713	+	0.229044i
$40$	1.96359	+	2.62100i	0.310471	+	0.414417i
$41$	3.26585	+	3.26585i	0.510040	+	0.510040i	0.914539	−	0.404499i	$-0.132554\pi$
$41$	3.26585	+	3.26585i	0.510040	+	0.510040i	−0.404499	+	0.914539i	$0.632554\pi$
$42$	−2.55690	−	7.81060i	−0.394538	−	1.20520i
$43$	−0.993018	+	2.39736i	−0.151434	+	0.365594i	−0.981332	−	0.192321i	$-0.938398\pi$
$43$	−0.993018	+	2.39736i	−0.151434	+	0.365594i	0.829898	+	0.557915i	$0.188398\pi$
$44$	11.3850	−	3.49375i	1.71636	−	0.526703i
$45$	−1.51219	+	3.12718i	−0.225425	+	0.466173i
$46$	3.71159	+	1.74813i	0.547244	+	0.257748i
$47$		−	11.7975i		−	1.72084i	−0.509589	−	0.860418i	$-0.670203\pi$
$47$		−	11.7975i		−	1.72084i	0.509589	−	0.860418i	$-0.329797\pi$
$48$	5.84538	−	3.71907i	0.843709	−	0.536802i
$49$		−	4.25719i		−	0.608171i
$50$	−2.20508	+	4.68178i	−0.311846	+	0.662103i
$51$	0.814471	+	0.862888i	0.114049	+	0.120828i
$52$	−1.59914	−	0.848137i	−0.221760	−	0.117615i
$53$	1.56192	−	3.77080i	0.214546	−	0.517959i	−0.779566	−	0.626320i	$-0.784560\pi$
$53$	1.56192	−	3.77080i	0.214546	−	0.517959i	0.994112	+	0.108361i	$0.0345602\pi$
$54$	6.35237	+	3.69424i	0.864448	+	0.502722i
$55$	−4.87520	−	4.87520i	−0.657372	−	0.657372i
$56$	9.19420	−	2.35035i	1.22863	−	0.314079i
$57$	−5.73187	−	2.57040i	−0.759205	−	0.340458i
$58$	5.43746	−	4.94422i	0.713974	−	0.649208i
$59$	2.20815	−	5.33094i	0.287476	−	0.694029i	−0.712495	−	0.701678i	$-0.752435\pi$
$59$	2.20815	−	5.33094i	0.287476	−	0.694029i	0.999971	+	0.00764882i	$0.00243472\pi$
$60$	−3.48775	−	1.98080i	−0.450267	−	0.255721i
$61$	−1.53549	+	0.636020i	−0.196599	+	0.0814341i	−0.478811	−	0.877918i	$-0.658932\pi$
$61$	−1.53549	+	0.636020i	−0.196599	+	0.0814341i	0.282212	+	0.959352i	$0.408932\pi$
$62$	−8.47042	+	3.04618i	−1.07574	+	0.386865i
$63$	6.69500	+	7.51609i	0.843491	+	0.946939i
$64$	3.83926	+	7.01855i	0.479907	+	0.877319i
$65$			1.04795i			0.129982i
$66$	−11.0700	+	9.49703i	−1.36262	+	1.16900i
$67$	4.69605	+	11.3373i	0.573714	+	1.38507i	0.898371	+	0.439237i	$0.144751\pi$
$67$	4.69605	+	11.3373i	0.573714	+	1.38507i	−0.324657	+	0.945832i	$0.605249\pi$
$68$	−1.05631	+	0.872611i	−0.128097	+	0.105820i
$69$	−5.02262	−	0.144978i	−0.604653	−	0.0174533i
$70$	−3.69612	−	4.06485i	−0.441771	−	0.485842i
$71$	7.99150	+	7.99150i	0.948416	+	0.948416i	0.998733	−	0.0503173i	$-0.0160232\pi$
$71$	7.99150	+	7.99150i	0.948416	+	0.948416i	−0.0503173	+	0.998733i	$0.516023\pi$
$72$	−4.74087	+	7.03734i	−0.558717	+	0.829359i
$73$	−2.34760	+	2.34760i	−0.274766	+	0.274766i	−0.831015	−	0.556250i	$-0.812240\pi$
$73$	−2.34760	+	2.34760i	−0.274766	+	0.274766i	0.556250	+	0.831015i	$0.312240\pi$
$74$	−0.416154	−	0.0197717i	−0.0483769	−	0.00229842i
$75$	0.182875	−	6.33551i	0.0211165	−	0.731562i
$76$	3.39869	−	6.40812i	0.389856	−	0.735062i
$77$	−18.4577	+	7.64543i	−2.10345	+	0.871278i
$78$	2.21049	+	0.169060i	0.250289	+	0.0191422i
$79$	8.91043			1.00250			0.501251	−	0.865302i	$-0.332873\pi$
$79$	8.91043			1.00250			0.501251	+	0.865302i	$0.332873\pi$
$80$	2.54822	−	3.86746i	0.284900	−	0.432395i
$81$	−8.94011	−	1.03655i	−0.993346	−	0.115172i
$82$	2.78314	−	5.90908i	0.307346	−	0.652549i
$83$	3.06920	+	7.40970i	0.336888	+	0.813320i	0.998011	+	0.0630420i	$0.0200802\pi$
$83$	3.06920	+	7.40970i	0.336888	+	0.813320i	−0.661123	+	0.750278i	$0.729920\pi$
$84$	−9.17046	+	7.14065i	−1.00058	+	0.779109i
$85$	0.732836	+	0.303551i	0.0794872	+	0.0329247i
$86$	3.66558	+	0.174154i	0.395270	+	0.0187795i
$87$	−3.68301	+	8.21294i	−0.394861	+	0.880520i
$88$	−10.0981	−	13.4789i	−1.07646	−	1.43685i
$89$	1.99332	−	1.99332i	0.211291	−	0.211291i	−0.593525	−	0.804816i	$-0.702264\pi$
$89$	1.99332	−	1.99332i	0.211291	−	0.211291i	0.804816	+	0.593525i	$0.202264\pi$
$90$	4.88528	+	0.515781i	0.514954	+	0.0543681i
$91$	2.80550	+	1.16208i	0.294096	+	0.121819i
$92$	0.550075	−	5.77591i	0.0573493	−	0.602180i
$93$	8.01722	−	7.56737i	0.831347	−	0.784699i
$94$	−15.6997	+	5.64603i	−1.61931	+	0.582344i
$95$	−4.19938			−0.430848
$96$	−7.74673	−	5.99901i	−0.790647	−	0.612272i
$97$	8.66510			0.879807			0.439904	−	0.898045i	$-0.355013\pi$
$97$	8.66510			0.879807			0.439904	+	0.898045i	$0.355013\pi$
$98$	−5.66537	+	2.03741i	−0.572288	+	0.205810i
$99$	7.77669	−	16.0820i	0.781586	−	1.61630i
$100$	7.28570	+	0.693862i	0.728570	+	0.0693862i
$101$	15.6920	+	6.49983i	1.56141	+	0.646758i	0.985334	−	0.170637i	$-0.0545827\pi$
$101$	15.6920	+	6.49983i	1.56141	+	0.646758i	0.576077	+	0.817395i	$0.304583\pi$
$102$	0.758519	−	1.49684i	0.0751046	−	0.148209i
$103$	−5.39788	+	5.39788i	−0.531869	+	0.531869i	−0.921128	−	0.389259i	$-0.872731\pi$
$103$	−5.39788	+	5.39788i	−0.531869	+	0.531869i	0.389259	+	0.921128i	$0.372731\pi$
$104$	−0.363363	+	2.53399i	−0.0356307	+	0.248478i
$105$	6.13969	+	2.75329i	0.599173	+	0.268693i
$106$	−5.76559	−	0.273927i	−0.560004	−	0.0266061i
$107$	−0.0169596	−	0.00702491i	−0.00163955	−	0.000679124i	0.381864	−	0.924219i	$-0.375282\pi$
$107$	−0.0169596	−	0.00702491i	−0.00163955	−	0.000679124i	−0.383503	+	0.923540i	$0.625282\pi$
$108$	1.87608	−	10.2216i	0.180526	−	0.983570i
$109$	−4.94357	−	11.9348i	−0.473508	−	1.14315i	−0.962602	−	0.270919i	$-0.912672\pi$
$109$	−4.94357	−	11.9348i	−0.473508	−	1.14315i	0.489094	−	0.872231i	$-0.337328\pi$
$110$	−4.15462	+	8.82097i	−0.396127	+	0.841047i
$111$	0.476854	−	0.181584i	0.0452610	−	0.0172352i
$112$	−7.52796	−	11.1106i	−0.711325	−	1.04985i
$113$	−10.4984			−0.987609			−0.493804	−	0.869573i	$-0.664394\pi$
$113$	−10.4984			−0.987609			−0.493804	+	0.869573i	$0.664394\pi$
$114$	−0.677462	+	8.85797i	−0.0634501	+	0.829625i
$115$	−3.10332	+	1.28544i	−0.289386	+	0.119868i
$116$	−9.18191	−	4.86983i	−0.852519	−	0.452152i
$117$	−2.56427	+	0.892634i	−0.237067	+	0.0825241i
$118$	−8.15105	−	0.387261i	−0.750365	−	0.0356503i
$119$	1.62529	−	1.62529i	0.148990	−	0.148990i
$120$	−0.966833	+	5.58939i	−0.0882593	+	0.510239i
$121$	17.2933	+	17.2933i	1.57212	+	1.57212i
$122$	1.58125	+	1.73900i	0.143160	+	0.157442i
$123$	−0.230814	+	7.99633i	−0.0208118	+	0.721005i
$124$	8.10756	+	9.81437i	0.728080	+	0.881357i
$125$	−3.83694	−	9.26318i	−0.343186	−	0.828524i
$126$	6.79813	−	12.5066i	0.605625	−	1.11418i
$127$			0.793212i			0.0703862i	0.999381	+	0.0351931i	$0.0112046\pi$
$127$			0.793212i			0.0703862i	−0.999381	+	0.0351931i	$0.988795\pi$
$128$	7.50272	−	8.46813i	0.663153	−	0.748484i
$129$	−4.20024	+	1.59943i	−0.369811	+	0.140822i
$130$	1.39458	−	0.501528i	0.122313	−	0.0439869i
$131$	−9.39267	+	3.89057i	−0.820641	+	0.339921i	−0.753191	−	0.657802i	$-0.771486\pi$
$131$	−9.39267	+	3.89057i	−0.820641	+	0.339921i	−0.0674502	+	0.997723i	$0.521486\pi$
$132$	17.9363	+	10.1866i	1.56115	+	0.886628i
$133$	−4.65672	+	11.2423i	−0.403789	+	0.974832i
$134$	12.8399	−	11.6752i	1.10920	−	1.00858i
$135$	−5.73676	+	1.81318i	−0.493741	+	0.156054i
$136$	1.66678	+	0.988102i	0.142925	+	0.0847290i
$137$	−2.95969	−	2.95969i	−0.252863	−	0.252863i	0.569280	−	0.822144i	$-0.307222\pi$
$137$	−2.95969	−	2.95969i	−0.252863	−	0.252863i	−0.822144	+	0.569280i	$0.807222\pi$
$138$	2.21080	+	6.75336i	0.188196	+	0.574884i
$139$	−1.91155	+	4.61488i	−0.162135	+	0.391429i	−0.983979	−	0.178284i	$-0.942946\pi$
$139$	−1.91155	+	4.61488i	−0.162135	+	0.391429i	0.821844	+	0.569713i	$0.192946\pi$
$140$	−3.64050	+	6.86406i	−0.307679	+	0.580119i
$141$	14.8597	−	14.0260i	1.25142	−	1.18120i
$142$	6.81030	−	14.4595i	0.571508	−	1.21341i
$143$		−	5.38924i		−	0.450671i
$144$	11.6340	+	2.94109i	0.969500	+	0.245091i
$145$			6.01711i			0.499694i
$146$	4.24764	+	2.00061i	0.351537	+	0.165572i
$147$	5.36224	−	5.06137i	0.442270	−	0.417455i
$148$	0.172852	+	0.563270i	0.0142083	+	0.0463005i
$149$	5.53451	−	13.3615i	0.453405	−	1.09462i	−0.517614	−	0.855614i	$-0.673180\pi$
$149$	5.53451	−	13.3615i	0.453405	−	1.09462i	0.971019	−	0.239002i	$-0.0768202\pi$
$150$	−8.51866	+	2.78869i	−0.695546	+	0.227696i
$151$	2.96063	+	2.96063i	0.240932	+	0.240932i	0.817236	−	0.576303i	$-0.195505\pi$
$151$	2.96063	+	2.96063i	0.240932	+	0.240932i	−0.576303	+	0.817236i	$0.695505\pi$
$152$	−10.1543	−	1.45608i	−0.823623	−	0.118104i
$153$	−0.118548	+	2.05177i	−0.00958400	+	0.165876i
$154$	19.0078	+	20.9041i	1.53170	+	1.68450i
$155$	2.82033	−	6.80889i	0.226535	−	0.546903i
$156$	−0.832919	−	3.02258i	−0.0666869	−	0.242000i
$157$	−16.1213	+	6.67768i	−1.28662	+	0.532937i	−0.917977	−	0.396633i	$-0.870178\pi$
$157$	−16.1213	+	6.67768i	−1.28662	+	0.532937i	−0.368646	+	0.929570i	$0.620178\pi$
$158$	−4.26436	−	11.8578i	−0.339254	−	0.943354i
$159$	6.60656	−	2.51575i	0.523934	−	0.199512i
$160$	−6.36624	−	1.54022i	−0.503296	−	0.121765i
$161$			9.73343i			0.767102i
$162$	2.89915	+	12.3933i	0.227779	+	0.973713i
$163$	−4.62172	−	11.1578i	−0.362001	−	0.873949i	−0.995007	−	0.0998018i	$-0.968179\pi$
$163$	−4.62172	−	11.1578i	−0.362001	−	0.873949i	0.633006	−	0.774147i	$-0.281821\pi$
$164$	−9.19561	−	0.875755i	−0.718057	−	0.0683849i
$165$	0.344556	−	11.9368i	0.0268236	−	0.929278i
$166$	8.39177	−	7.63054i	0.651328	−	0.592245i
$167$	1.28603	+	1.28603i	0.0995157	+	0.0995157i	0.755112	−	0.655596i	$-0.227583\pi$
$167$	1.28603	+	1.28603i	0.0995157	+	0.0995157i	−0.655596	+	0.755112i	$0.727583\pi$
$168$	13.8914	+	8.78644i	1.07175	+	0.677888i
$169$	8.61317	−	8.61317i	0.662551	−	0.662551i
$170$	0.0532362	−	1.12051i	0.00408303	−	0.0859394i
$171$	−3.57700	−	10.2756i	−0.273540	−	0.785799i
$172$	−1.52252	−	4.96141i	−0.116091	−	0.378304i
$173$	−0.0565964	+	0.0234430i	−0.00430295	+	0.00178234i	−0.384834	−	0.922986i	$-0.625741\pi$
$173$	−0.0565964	+	0.0234430i	−0.00430295	+	0.00178234i	0.380531	+	0.924768i	$0.375741\pi$
$174$	12.6922	+	0.970705i	0.962193	+	0.0735890i
$175$	−12.2777			−0.928107
$176$	−13.1046	+	19.8890i	−0.987798	+	1.49919i
$177$	9.33996	−	3.55662i	0.702034	−	0.267332i
$178$	−3.60662	−	1.69869i	−0.270327	−	0.127322i
$179$	−1.17461	−	2.83576i	−0.0877946	−	0.211955i	0.873884	−	0.486135i	$-0.161594\pi$
$179$	−1.17461	−	2.83576i	−0.0877946	−	0.211955i	−0.961678	+	0.274180i	$0.911594\pi$
$180$	−1.65161	−	6.74805i	−0.123104	−	0.502970i
$181$	−20.8334	−	8.62949i	−1.54854	−	0.641425i	−0.565485	−	0.824758i	$-0.691311\pi$
$181$	−20.8334	−	8.62949i	−1.54854	−	0.641425i	−0.983051	+	0.183334i	$0.941311\pi$
$182$	0.203803	−	4.28964i	0.0151069	−	0.317969i
$183$	−2.62665	−	1.17790i	−0.194168	−	0.0870726i
$184$	−7.94968	+	2.03221i	−0.586058	+	0.149817i
$185$	0.241198	−	0.241198i	0.0177333	−	0.0177333i
$186$	−13.9073	−	7.04751i	−1.01974	−	0.516748i
$187$	−3.76872	−	1.56105i	−0.275596	−	0.114156i
$188$	15.0272	+	18.1907i	1.09597	+	1.32670i
$189$	−1.50739	+	17.3687i	−0.109647	+	1.26339i
$190$	2.00974	+	5.58843i	0.145802	+	0.405427i
$191$	−23.0566			−1.66832			−0.834158	−	0.551525i	$-0.814046\pi$
$191$	−23.0566			−1.66832			−0.834158	+	0.551525i	$0.814046\pi$
$192$	−4.27590	+	13.1802i	−0.308586	+	0.951196i
$193$	7.52832			0.541900			0.270950	−	0.962593i	$-0.412662\pi$
$193$	7.52832			0.541900			0.270950	+	0.962593i	$0.412662\pi$
$194$	−4.14695	−	11.5313i	−0.297734	−	0.827898i
$195$	−1.31997	+	1.24590i	−0.0945249	+	0.0892211i
$196$	5.42267	+	6.56426i	0.387333	+	0.468876i
$197$	−2.14750	−	0.889524i	−0.153003	−	0.0633760i	0.304868	−	0.952395i	$-0.401388\pi$
$197$	−2.14750	−	0.889524i	−0.153003	−	0.0633760i	−0.457871	+	0.889019i	$0.651388\pi$
$198$	−25.1233	−	2.65248i	−1.78543	−	0.188504i
$199$	7.46994	−	7.46994i	0.529530	−	0.529530i	−0.390902	−	0.920432i	$-0.627837\pi$
$199$	7.46994	−	7.46994i	0.529530	−	0.529530i	0.920432	+	0.390902i	$0.127837\pi$
$200$	−2.56342	−	10.0277i	−0.181261	−	0.709065i
$201$	−8.69699	+	19.3939i	−0.613439	+	1.36794i
$202$	1.13993	−	23.9932i	0.0802053	−	1.68816i
$203$	16.1086	+	6.67240i	1.13060	+	0.468311i
$204$	−2.35497	−	0.293060i	−0.164881	−	0.0205183i
$205$	2.04650	+	4.94068i	0.142934	+	0.345072i
$206$	9.76668	+	4.60004i	0.680477	+	0.320500i
$207$	−5.78877	−	6.49872i	−0.402348	−	0.451692i
$208$	3.54607	−	0.729165i	0.245876	−	0.0505585i
$209$	21.5960			1.49382
$210$	0.725664	−	9.48822i	0.0500755	−	0.654749i
$211$	15.9819	−	6.61994i	1.10024	−	0.455735i	0.242676	−	0.970107i	$-0.421975\pi$
$211$	15.9819	−	6.61994i	1.10024	−	0.455735i	0.857567	+	0.514372i	$0.171975\pi$
$212$	2.39477	+	7.80380i	0.164473	+	0.535967i
$213$	−0.564800	+	19.5669i	−0.0386994	+	1.34070i
$214$	−0.00123202	+	0.0259314i	−8.42191e−5	+	0.00177264i
$215$	−2.12453	+	2.12453i	−0.144892	+	0.144892i
$216$	−14.5004	+	2.39521i	−0.986630	+	0.162973i
$217$	−15.1008	−	15.1008i	−1.02511	−	1.02511i
$218$	−13.5167	+	12.2906i	−0.915465	+	0.832422i
$219$	−5.74803	−	0.165917i	−0.388416	−	0.0112116i
$220$	13.7270	+	1.30731i	0.925477	+	0.0881389i
$221$	0.237274	+	0.572831i	0.0159608	+	0.0385328i
$222$	−0.469861	−	0.547683i	−0.0315350	−	0.0367581i
$223$			18.2244i			1.22040i	0.792248	+	0.610199i	$0.208910\pi$
$223$			18.2244i			1.22040i	−0.792248	+	0.610199i	$0.791090\pi$
$224$	−11.1829	+	15.3353i	−0.747191	+	1.02463i
$225$	8.19746	−	7.30193i	0.546497	−	0.486795i
$226$	5.02434	+	13.9710i	0.334214	+	0.929339i
$227$	−10.8455	+	4.49234i	−0.719840	+	0.298167i	−0.712369	−	0.701805i	$-0.752378\pi$
$227$	−10.8455	+	4.49234i	−0.719840	+	0.298167i	−0.00747022	+	0.999972i	$0.502378\pi$
$228$	12.1122	−	3.33770i	0.802149	−	0.221045i
$229$	5.20986	−	12.5777i	0.344277	−	0.831159i	−0.652996	−	0.757362i	$-0.726488\pi$
$229$	5.20986	−	12.5777i	0.344277	−	0.831159i	0.997273	−	0.0737978i	$-0.0235119\pi$
$230$	3.19582	+	3.51463i	0.210726	+	0.231748i
$231$	−31.5743	−	14.1592i	−2.07744	−	0.931606i
$232$	−2.08636	+	14.5497i	−0.136976	+	0.955232i
$233$	−11.7233	−	11.7233i	−0.768016	−	0.768016i	0.209741	−	0.977757i	$-0.432738\pi$
$233$	−11.7233	−	11.7233i	−0.768016	−	0.768016i	−0.977757	+	0.209741i	$0.932738\pi$
$234$	2.41511	+	2.98527i	0.157880	+	0.195153i
$235$	5.22743	−	12.6201i	0.341000	−	0.823247i
$236$	3.38558	+	11.0325i	0.220382	+	0.718157i
$237$	10.5936	+	11.2233i	0.688128	+	0.729034i
$238$	−2.94073	−	1.38506i	−0.190619	−	0.0897803i
$239$			21.5949i			1.39685i	0.715681	+	0.698427i	$0.246117\pi$
$239$			21.5949i			1.39685i	−0.715681	+	0.698427i	$0.753883\pi$
$240$	7.90092	−	1.38834i	0.510002	−	0.0896167i
$241$			14.6095i			0.941078i	0.882379	+	0.470539i	$0.155941\pi$
$241$			14.6095i			0.941078i	−0.882379	+	0.470539i	$0.844059\pi$
$242$	14.7372	−	31.2897i	0.947345	−	2.01138i
$243$	−9.32327	−	12.4931i	−0.598088	−	0.801430i
$244$	1.55746	−	2.93655i	0.0997063	−	0.187993i
$245$	1.88636	−	4.55406i	0.120515	−	0.290949i
$246$	10.7518	−	3.51973i	0.685509	−	0.224410i
$247$	−2.32108	−	2.32108i	−0.147687	−	0.147687i
$248$	9.18060	−	15.4863i	0.582968	−	0.983381i
$249$	−5.68409	+	12.6752i	−0.360215	+	0.803261i
$250$	−10.4909	+	9.53928i	−0.663504	+	0.603317i
$251$	−1.08581	+	2.62137i	−0.0685355	+	0.165459i	−0.954436	−	0.298416i	$-0.903542\pi$
$251$	−1.08581	+	2.62137i	−0.0685355	+	0.165459i	0.885900	+	0.463876i	$0.153542\pi$
$252$	−19.8969	−	3.06136i	−1.25339	−	0.192847i
$253$	15.9593	−	6.61055i	1.00335	−	0.415602i
$254$	1.05559	−	0.379616i	0.0662334	−	0.0238192i
$255$	0.488923	+	1.28395i	0.0306175	+	0.0804041i
$256$	−14.8598	−	5.93174i	−0.928739	−	0.370734i
$257$			1.35436i			0.0844827i	0.999107	+	0.0422414i	$0.0134498\pi$
$257$			1.35436i			0.0844827i	−0.999107	+	0.0422414i	$0.986550\pi$
$258$	4.13864	+	4.82412i	0.257661	+	0.300336i
$259$	−0.378254	−	0.913186i	−0.0235036	−	0.0567426i
$260$	−1.33484	−	1.61586i	−0.0827834	−	0.100211i
$261$	−14.7235	+	5.12532i	−0.911363	+	0.317250i
$262$	9.67262	+	10.6376i	0.597576	+	0.657191i
$263$	3.52372	+	3.52372i	0.217282	+	0.217282i	0.807352	−	0.590070i	$-0.200900\pi$
$263$	3.52372	+	3.52372i	0.217282	+	0.217282i	−0.590070	+	0.807352i	$0.700900\pi$
$264$	4.97208	−	28.7443i	0.306011	−	1.76909i
$265$	3.34167	−	3.34167i	0.205277	−	0.205277i
$266$	17.1896	+	0.816688i	1.05396	+	0.0500743i
$267$	4.88057	+	0.140878i	0.298686	+	0.00862158i
$268$	−21.6820	−	11.4995i	−1.32444	−	0.702444i
$269$	16.4741	−	6.82380i	1.00444	−	0.416055i	0.181020	−	0.983479i	$-0.442060\pi$
$269$	16.4741	−	6.82380i	1.00444	−	0.416055i	0.823425	+	0.567425i	$0.192060\pi$
$270$	5.15843	+	6.76658i	0.313932	+	0.411801i
$271$	−8.50293			−0.516516			−0.258258	−	0.966076i	$-0.583149\pi$
$271$	−8.50293			−0.516516			−0.258258	+	0.966076i	$0.583149\pi$
$272$	0.517252	−	2.69100i	0.0313630	−	0.163166i
$273$	1.87173	+	4.91532i	0.113282	+	0.297489i
$274$	−2.52223	+	5.35513i	−0.152374	+	0.323515i
$275$	8.33852	+	20.1310i	0.502832	+	1.21394i
$276$	7.92916	−	6.17410i	0.477279	−	0.371637i
$277$	20.2028	+	8.36828i	1.21387	+	0.502801i	0.895456	−	0.445150i	$-0.146850\pi$
$277$	20.2028	+	8.36828i	1.21387	+	0.502801i	0.318414	+	0.947952i	$0.396850\pi$
$278$	7.05619	+	0.335244i	0.423202	+	0.0201066i
$279$	19.0633	+	1.10144i	1.14129	+	0.0659416i
$280$	10.8768	+	1.55968i	0.650012	+	0.0932089i
$281$	10.3342	−	10.3342i	0.616487	−	0.616487i	−0.328142	−	0.944629i	$-0.606422\pi$
$281$	10.3342	−	10.3342i	0.616487	−	0.616487i	0.944629	+	0.328142i	$0.106422\pi$
$282$	−25.7770	−	13.0624i	−1.53500	−	0.777856i
$283$	8.67342	+	3.59265i	0.515581	+	0.213561i	0.625275	−	0.780405i	$-0.284987\pi$
$283$	8.67342	+	3.59265i	0.515581	+	0.213561i	−0.109694	+	0.993965i	$0.534987\pi$
$284$	−22.5015	−	2.14296i	−1.33522	−	0.127161i
$285$	−4.99264	−	5.28943i	−0.295738	−	0.313319i
$286$	−7.17186	+	2.57918i	−0.424081	+	0.152510i
$287$	15.4962			0.914714
$288$	−1.65388	−	16.8898i	−0.0974557	−	0.995240i
$289$	−16.5307			−0.972393
$290$	8.00741	−	2.87967i	0.470212	−	0.169100i
$291$	10.3019	+	10.9143i	0.603909	+	0.639809i
$292$	0.629521	−	6.61010i	0.0368399	−	0.386827i
$293$	−11.3816	−	4.71442i	−0.664922	−	0.275420i	0.0245862	−	0.999698i	$-0.492173\pi$
$293$	−11.3816	−	4.71442i	−0.664922	−	0.275420i	−0.689508	+	0.724278i	$0.742173\pi$
$294$	−9.30180	−	4.71367i	−0.542492	−	0.274907i
$295$	4.72426	−	4.72426i	0.275057	−	0.275057i
$296$	0.666861	−	0.499597i	0.0387605	−	0.0290385i
$297$	29.5021	−	9.32455i	1.71189	−	0.541065i
$298$	−20.4298	−	0.970634i	−1.18347	−	0.0562273i
$299$	−2.42575	−	1.00478i	−0.140285	−	0.0581078i
$300$	7.78798	+	10.0018i	0.449639	+	0.577454i
$301$	3.33175	+	8.04355i	0.192039	+	0.463623i
$302$	2.52303	−	5.35683i	0.145184	−	0.308251i
$303$	10.4692	+	27.4928i	0.601437	+	1.57942i
$304$	2.92194	+	14.2099i	0.167585	+	0.814996i
$305$	−1.92438			−0.110190
$306$	2.78718	−	0.824178i	0.159332	−	0.0471151i
$307$	−12.6145	+	5.22511i	−0.719950	+	0.298213i	−0.712415	−	0.701759i	$-0.752399\pi$
$307$	−12.6145	+	5.22511i	−0.719950	+	0.298213i	−0.00753514	+	0.999972i	$0.502399\pi$
$308$	18.7218	−	35.2995i	1.06678	−	2.01137i
$309$	−13.2166	−	0.381496i	−0.751863	−	0.0217025i
$310$	−10.4108	−	0.494626i	−0.591297	−	0.0280928i
$311$	18.8020	−	18.8020i	1.06617	−	1.06617i	0.0685162	−	0.997650i	$-0.478174\pi$
$311$	18.8020	−	18.8020i	1.06617	−	1.06617i	0.997650	−	0.0685162i	$-0.0218265\pi$
$312$	−3.62375	+	2.55497i	−0.205154	+	0.144647i
$313$	4.30835	+	4.30835i	0.243522	+	0.243522i	0.818306	−	0.574783i	$-0.194914\pi$
$313$	4.30835	+	4.30835i	0.243522	+	0.243522i	−0.574783	+	0.818306i	$0.694914\pi$
$314$	16.6018	+	18.2581i	0.936896	+	1.03036i
$315$	3.83150	+	11.0068i	0.215881	+	0.620161i
$316$	−13.7392	+	11.3498i	−0.772889	+	0.638476i
$317$	−0.543402	−	1.31189i	−0.0305205	−	0.0736830i	0.907884	−	0.419221i	$-0.137697\pi$
$317$	−0.543402	−	1.31189i	−0.0305205	−	0.0736830i	−0.938405	+	0.345538i	$0.887697\pi$
$318$	−6.50966	−	7.58785i	−0.365044	−	0.425505i
$319$		−	30.9439i		−	1.73252i
$320$	0.997073	+	9.20915i	0.0557381	+	0.514807i
$321$	−0.0113149	−	0.0297138i	−0.000631535	−	0.00165846i
$322$	12.9530	−	4.65823i	0.721842	−	0.259593i
$323$	−2.29547	+	0.950815i	−0.127723	+	0.0529047i
$324$	15.1053	−	9.78933i	0.839181	−	0.543852i
$325$	1.26742	−	3.05983i	0.0703040	−	0.169729i
$326$	−12.6367	+	11.4904i	−0.699881	+	0.636394i
$327$	9.15540	−	20.4161i	0.506295	−	1.12901i
$328$	3.23541	+	12.6564i	0.178646	+	0.698833i
$329$	−27.9891	−	27.9891i	−1.54309	−	1.54309i
$330$	−16.0501	+	5.25419i	−0.883527	+	0.289234i
$331$	−5.18815	+	12.5253i	−0.285167	+	0.688453i	−0.999941	−	0.0109024i	$-0.996530\pi$
$331$	−5.18815	+	12.5253i	−0.285167	+	0.688453i	0.714774	+	0.699356i	$0.246530\pi$
$332$	−14.1707	−	7.51573i	−0.777717	−	0.412479i
$333$	0.795649	+	0.384748i	0.0436013	+	0.0210840i
$334$	1.09594	−	2.32688i	0.0599673	−	0.127321i
$335$			14.2087i			0.776303i
$336$	5.04461	−	22.6913i	0.275206	−	1.23791i
$337$		−	19.9878i		−	1.08881i	−0.838824	−	0.544403i	$-0.816756\pi$
$337$		−	19.9878i		−	1.08881i	0.838824	−	0.544403i	$-0.183244\pi$
$338$	−15.5843	−	7.34009i	−0.847673	−	0.399248i
$339$	−12.4815	−	13.2235i	−0.677905	−	0.718203i
$340$	−1.51663	+	0.465411i	−0.0822507	+	0.0252404i
$341$	−14.5040	+	35.0157i	−0.785435	+	1.89621i
$342$	−11.9627	+	9.67791i	−0.646868	+	0.523321i
$343$	6.50721	+	6.50721i	0.351357	+	0.351357i
$344$	−5.87387	+	4.40056i	−0.316698	+	0.237262i
$345$	−5.30863	−	2.38060i	−0.285807	−	0.128167i
$346$	0.0582833	+	0.0640977i	0.00313333	+	0.00344591i
$347$	5.84634	−	14.1143i	0.313848	−	0.757696i	−0.685707	−	0.727877i	$-0.740507\pi$
$347$	5.84634	−	14.1143i	0.313848	−	0.757696i	0.999555	−	0.0298187i	$-0.00949299\pi$
$348$	−4.78245	−	17.3550i	−0.256366	−	0.930326i
$349$	7.90170	−	3.27299i	0.422969	−	0.175199i	−0.161038	−	0.986948i	$-0.551484\pi$
$349$	7.90170	−	3.27299i	0.422969	−	0.175199i	0.584007	+	0.811749i	$0.301484\pi$
$350$	5.87587	+	16.3389i	0.314078	+	0.873348i
$351$	−4.17299	−	2.16864i	−0.222738	−	0.115753i
$352$	32.7394	+	7.92082i	1.74501	+	0.422181i
$353$			28.4566i			1.51459i	0.653072	+	0.757296i	$0.273480\pi$
$353$			28.4566i			1.51459i	−0.653072	+	0.757296i	$0.726520\pi$
$354$	−9.20298	−	10.7273i	−0.489133	−	0.570147i
$355$	5.00776	+	12.0898i	0.265784	+	0.641659i
$356$	−0.534518	+	5.61255i	−0.0283294	+	0.297465i
$357$	3.97948	+	0.114868i	0.210616	+	0.00607944i
$358$	−3.21161	+	2.92028i	−0.169739	+	0.154342i
$359$	3.48589	+	3.48589i	0.183978	+	0.183978i	0.793087	−	0.609109i	$-0.208473\pi$
$359$	3.48589	+	3.48589i	0.183978	+	0.183978i	−0.609109	+	0.793087i	$0.708473\pi$
$360$	−8.18970	+	5.42741i	−0.431635	+	0.286050i
$361$	−4.13391	+	4.13391i	−0.217574	+	0.217574i
$362$	−1.51343	+	31.8545i	−0.0795439	+	1.67423i
$363$	−1.22221	+	42.3421i	−0.0641491	+	2.22238i
$364$	−5.80607	+	1.78172i	−0.304321	+	0.0933875i
$365$	−3.55152	+	1.47109i	−0.185895	+	0.0770003i
$366$	−0.310450	+	4.05920i	−0.0162275	+	0.212178i
$367$	7.37411			0.384925			0.192463	−	0.981304i	$-0.438353\pi$
$367$	7.37411			0.384925			0.192463	+	0.981304i	$0.438353\pi$
$368$	6.50898	+	9.60666i	0.339304	+	0.500782i
$369$	−10.3464	+	9.21609i	−0.538611	+	0.479771i
$370$	−0.436413	−	0.205548i	−0.0226881	−	0.0106859i
$371$	−5.24050	−	12.6517i	−0.272073	−	0.656843i
$372$	−2.72286	+	21.8803i	−0.141174	+	1.13444i
$373$	−7.72861	−	3.20130i	−0.400172	−	0.165757i	0.173515	−	0.984831i	$-0.444488\pi$
$373$	−7.72861	−	3.20130i	−0.400172	−	0.165757i	−0.573687	+	0.819074i	$0.694488\pi$
$374$	−0.273775	+	5.76241i	−0.0141566	+	0.297967i
$375$	7.10593	−	15.8459i	0.366948	−	0.818277i
$376$	17.0160	−	28.7035i	0.877536	−	1.48027i
$377$	−3.32577	+	3.32577i	−0.171286	+	0.171286i
$378$	23.8352	−	6.30633i	1.22595	−	0.324362i
$379$	−22.6759	−	9.39268i	−1.16478	−	0.482470i	−0.285319	−	0.958433i	$-0.592100\pi$
$379$	−22.6759	−	9.39268i	−1.16478	−	0.482470i	−0.879465	+	0.475963i	$0.842100\pi$
$380$	6.47512	−	5.34903i	0.332166	−	0.274399i
$381$	−0.999108	+	0.943047i	−0.0511858	+	0.0483138i
$382$	11.0344	+	30.6831i	0.564571	+	1.56989i
$383$	11.3729			0.581129			0.290565	−	0.956855i	$-0.406157\pi$
$383$	11.3729			0.581129			0.290565	+	0.956855i	$0.406157\pi$
$384$	19.5862	−	0.617518i	0.999503	−	0.0315126i
$385$	−23.1325			−1.17894
$386$	−3.60291	−	10.0185i	−0.183383	−	0.509928i
$387$	−7.00826	−	3.38895i	−0.356250	−	0.172270i
$388$	−13.3609	+	11.0373i	−0.678297	+	0.560334i
$389$	−11.2635	−	4.66550i	−0.571083	−	0.236550i	0.0784059	−	0.996922i	$-0.475017\pi$
$389$	−11.2635	−	4.66550i	−0.571083	−	0.236550i	−0.649489	+	0.760371i	$0.725017\pi$
$390$	2.28973	+	1.16031i	0.115945	+	0.0587548i
$391$	−1.40529	+	1.40529i	−0.0710687	+	0.0710687i
$392$	6.14036	−	10.3579i	0.310135	−	0.523152i
$393$	−16.0674	−	7.20526i	−0.810492	−	0.363457i
$394$	−0.156003	+	3.28355i	−0.00785933	+	0.165423i
$395$	9.53179	+	3.94820i	0.479596	+	0.198655i
$396$	8.49367	+	34.7029i	0.426823	+	1.74388i
$397$	3.65241	+	8.81769i	0.183309	+	0.442547i	0.988645	−	0.150272i	$-0.0480149\pi$
$397$	3.65241	+	8.81769i	0.183309	+	0.442547i	−0.805336	+	0.592819i	$0.798015\pi$
$398$	−13.5158	−	6.36583i	−0.677484	−	0.319090i
$399$	−19.6969	+	7.50048i	−0.986076	+	0.375494i
$400$	−12.1178	+	8.21040i	−0.605890	+	0.410520i
$401$	−5.46170			−0.272744			−0.136372	−	0.990658i	$-0.543544\pi$
$401$	−5.46170			−0.272744			−0.136372	+	0.990658i	$0.543544\pi$
$402$	29.9711	+	2.29220i	1.49482	+	0.114325i
$403$	5.32225	−	2.20455i	0.265120	−	0.109816i
$404$	−32.4751	+	9.96569i	−1.61570	+	0.495811i
$405$	−9.10425	−	5.07018i	−0.452394	−	0.251939i
$406$	1.17020	−	24.6302i	0.0580758	−	1.22238i
$407$	−1.24040	+	1.24040i	−0.0614843	+	0.0614843i
$408$	0.737045	+	3.27418i	0.0364892	+	0.162096i
$409$	−21.6474	−	21.6474i	−1.07039	−	1.07039i	−0.997327	−	0.0730670i	$-0.976721\pi$
$409$	−21.6474	−	21.6474i	−1.07039	−	1.07039i	−0.0730670	−	0.997327i	$-0.523279\pi$
$410$	5.59552	−	5.08794i	0.276343	−	0.251276i
$411$	0.209176	−	7.24671i	0.0103179	−	0.357454i
$412$	1.44747	−	15.1987i	0.0713117	−	0.748788i
$413$	−7.40871	−	17.8862i	−0.364559	−	0.880123i
$414$	−5.87794	+	10.8137i	−0.288885	+	0.531465i
$415$			9.28636i			0.455849i
$416$	−2.66743	−	4.37005i	−0.130782	−	0.214260i
$417$	−8.08541	+	3.07889i	−0.395944	+	0.150774i
$418$	−10.3354	−	28.7393i	−0.505521	−	1.40569i
$419$	−16.1057	+	6.67119i	−0.786814	+	0.325909i	−0.739662	−	0.672979i	$-0.765014\pi$
$419$	−16.1057	+	6.67119i	−0.786814	+	0.325909i	−0.0471519	+	0.998888i	$0.515014\pi$
$420$	−12.9740	+	3.57518i	−0.633065	+	0.174451i
$421$	11.0865	−	26.7651i	0.540321	−	1.30445i	−0.384176	−	0.923260i	$-0.625514\pi$
$421$	11.0865	−	26.7651i	0.540321	−	1.30445i	0.924497	−	0.381190i	$-0.124486\pi$
$422$	−16.4583	−	18.1002i	−0.801177	−	0.881104i
$423$	35.3334	+	2.04150i	1.71797	+	0.0992612i
$424$	9.23900	−	6.92164i	0.448686	−	0.336144i
$425$	−1.77263	−	1.77263i	−0.0859852	−	0.0859852i
$426$	26.3095	−	8.61274i	1.27470	−	0.417288i
$427$	−2.13396	+	5.15183i	−0.103270	+	0.249315i
$428$	0.0350985	−	0.0107708i	0.00169655	−	0.000520624i
$429$	6.78813	−	6.40725i	0.327734	−	0.309345i
$430$	3.84403	+	1.81051i	0.185376	+	0.0873106i
$431$		−	20.4774i		−	0.986361i	−0.869927	−	0.493180i	$-0.835834\pi$
$431$		−	20.4774i		−	0.986361i	0.869927	−	0.493180i	$-0.164166\pi$
$432$	10.1271	+	18.1505i	0.487241	+	0.873268i
$433$		−	14.6756i		−	0.705262i	−0.935762	−	0.352631i	$-0.885287\pi$
$433$		−	14.6756i		−	0.705262i	0.935762	−	0.352631i	$-0.114713\pi$
$434$	−12.8688	+	27.3227i	−0.617723	+	1.31153i
$435$	−7.57899	+	7.15373i	−0.363385	+	0.342995i
$436$	22.8248	+	12.1056i	1.09311	+	0.579754i
$437$	4.02639	−	9.72056i	0.192608	−	0.464997i
$438$	2.53010	+	7.72873i	0.120893	+	0.369293i
$439$	4.86825	+	4.86825i	0.232349	+	0.232349i	0.813672	−	0.581324i	$-0.197465\pi$
$439$	4.86825	+	4.86825i	0.232349	+	0.232349i	−0.581324	+	0.813672i	$0.697465\pi$
$440$	−4.82976	−	18.8933i	−0.230250	−	0.900701i
$441$	12.7503	+	0.736690i	0.607158	+	0.0350805i
$442$	0.648754	−	0.589904i	0.0308581	−	0.0280589i
$443$	6.00738	−	14.5031i	0.285419	−	0.689063i	−0.714525	−	0.699610i	$-0.753357\pi$
$443$	6.00738	−	14.5031i	0.285419	−	0.689063i	0.999944	+	0.0105468i	$0.00335721\pi$
$444$	−0.503976	+	0.887389i	−0.0239177	+	0.0421136i
$445$	3.01555	−	1.24908i	0.142951	−	0.0592122i
$446$	24.2526	−	8.72186i	1.14839	−	0.412992i
$447$	23.4097	−	8.91432i	1.10724	−	0.421633i
$448$	25.7598	+	7.54278i	1.21704	+	0.356363i
$449$			1.76611i			0.0833480i	0.999131	+	0.0416740i	$0.0132691\pi$
$449$			1.76611i			0.0833480i	−0.999131	+	0.0416740i	$0.986731\pi$
$450$	−13.6404	−	7.41440i	−0.643013	−	0.349518i
$451$	−10.5244	−	25.4082i	−0.495576	−	1.19643i
$452$	16.1877	−	13.3725i	0.761407	−	0.628991i
$453$	−0.209243	+	7.24901i	−0.00983108	+	0.340588i
$454$	11.1687	+	12.2829i	0.524175	+	0.576467i
$455$	2.48622	+	2.48622i	0.116556	+	0.116556i
$456$	−10.2384	−	14.5212i	−0.479456	−	0.680018i
$457$	−22.3579	+	22.3579i	−1.04586	+	1.04586i	−0.0469601	+	0.998897i	$0.514953\pi$
$457$	−22.3579	+	22.3579i	−1.04586	+	1.04586i	−0.998897	+	0.0469601i	$0.985047\pi$
$458$	−19.2315	−	0.913698i	−0.898627	−	0.0426943i
$459$	−2.72529	+	2.29003i	−0.127206	+	0.106889i
$460$	3.14773	−	5.93495i	0.146764	−	0.276718i
$461$	−0.811938	+	0.336316i	−0.0378157	+	0.0156638i	−0.401511	−	0.915854i	$-0.631515\pi$
$461$	−0.811938	+	0.336316i	−0.0378157	+	0.0156638i	0.363695	+	0.931518i	$0.381515\pi$
$462$	−3.73183	+	48.7946i	−0.173621	+	2.27013i
$463$	14.0009			0.650678			0.325339	−	0.945597i	$-0.394522\pi$
$463$	14.0009			0.650678			0.325339	+	0.945597i	$0.394522\pi$
$464$	20.3608	−	4.18671i	0.945226	−	0.194363i
$465$	11.9294	−	4.54265i	0.553211	−	0.210661i
$466$	−9.99049	+	21.2115i	−0.462800	+	0.982606i
$467$	−5.94695	−	14.3572i	−0.275192	−	0.664373i	0.724498	−	0.689277i	$-0.242072\pi$
$467$	−5.94695	−	14.3572i	−0.275192	−	0.664373i	−0.999690	+	0.0249045i	$0.992072\pi$
$468$	2.81690	−	4.64265i	0.130211	−	0.214607i
$469$	38.0385	+	15.7561i	1.75646	+	0.727548i
$470$	−19.2963	−	0.916779i	−0.890072	−	0.0422878i
$471$	−27.5776	−	12.3669i	−1.27071	−	0.569838i
$472$	13.0616	−	9.78540i	0.601207	−	0.450410i
$473$	10.9257	−	10.9257i	0.502365	−	0.502365i
$474$	9.86584	−	19.4689i	0.453153	−	0.894238i
$475$	12.2615	+	5.07887i	0.562595	+	0.233034i
$476$	−0.435830	+	4.57631i	−0.0199763	+	0.209755i
$477$	11.0233	+	5.33047i	0.504722	+	0.244066i
$478$	28.7379	−	10.3349i	1.31444	−	0.472706i
$479$	−34.4708			−1.57501			−0.787505	−	0.616309i	$-0.788627\pi$
$479$	−34.4708			−1.57501			−0.787505	+	0.616309i	$0.788627\pi$
$480$	−5.62879	−	9.84991i	−0.256918	−	0.449585i
$481$	0.266630			0.0121573
$482$	19.4419	−	6.99181i	0.885554	−	0.318468i
$483$	−12.2600	+	11.5720i	−0.557847	+	0.526546i
$484$	−48.6925	−	4.63729i	−2.21329	−	0.210786i
$485$	9.26935	+	3.83949i	0.420899	+	0.174342i
$486$	−12.1635	+	18.3861i	−0.551748	+	0.834011i
$487$	−13.6710	+	13.6710i	−0.619490	+	0.619490i	−0.945401	−	0.325911i	$-0.894329\pi$
$487$	−13.6710	+	13.6710i	−0.619490	+	0.619490i	0.325911	+	0.945401i	$0.394329\pi$
$488$	−4.65325	−	0.667256i	−0.210643	−	0.0302052i
$489$	8.55934	−	19.0869i	0.387067	−	0.863140i
$490$	−6.96321	−	0.330826i	−0.314566	−	0.0149452i
$491$	16.0034	+	6.62882i	0.722223	+	0.299154i	0.713352	−	0.700806i	$-0.247176\pi$
$491$	16.0034	+	6.62882i	0.722223	+	0.299154i	0.00887095	+	0.999961i	$0.497176\pi$
$492$	−9.82956	−	12.6237i	−0.443151	−	0.569121i
$493$	1.36238	+	3.28908i	0.0613585	+	0.148133i
$494$	−1.97801	+	4.19966i	−0.0889948	+	0.188951i
$495$	15.4449	−	13.7576i	0.694196	−	0.618359i
$496$	−25.0024	−	4.80586i	−1.12264	−	0.215789i
$497$	37.9191			1.70090
$498$	19.5882	+	1.49811i	0.877768	+	0.0671321i
$499$	−6.36166	+	2.63509i	−0.284787	+	0.117963i	−0.520504	−	0.853859i	$-0.674256\pi$
$499$	−6.36166	+	2.63509i	−0.284787	+	0.117963i	0.235717	+	0.971822i	$0.424256\pi$
$500$	17.7154	+	9.39574i	0.792256	+	0.420190i
$501$	−0.0908900	+	3.14880i	−0.00406067	+	0.140678i
$502$	4.00810	+	0.190427i	0.178890	+	0.00849918i
$503$	−16.8510	+	16.8510i	−0.751350	+	0.751350i	−0.974731	−	0.223381i	$-0.928291\pi$
$503$	−16.8510	+	16.8510i	−0.751350	+	0.751350i	0.223381	+	0.974731i	$0.428291\pi$
$504$	5.44830	+	27.9434i	0.242687	+	1.24470i
$505$	13.9062	+	13.9062i	0.618817	+	0.618817i
$506$	−16.4350	−	18.0745i	−0.730623	−	0.803511i
$507$	21.0891	+	0.608736i	0.936599	+	0.0270349i
$508$	−1.01037	−	1.22307i	−0.0448277	−	0.0542650i
$509$	6.71610	+	16.2141i	0.297686	+	0.718678i	0.999977	+	0.00678764i	$0.00216059\pi$
$509$	6.71610	+	16.2141i	0.297686	+	0.718678i	−0.702291	+	0.711890i	$0.747839\pi$
$510$	1.47466	−	1.26512i	0.0652990	−	0.0560205i
$511$			11.1392i			0.492769i
$512$	−0.782187	+	22.6139i	−0.0345681	+	0.999402i
$513$	8.69024	−	16.7222i	0.383684	−	0.738302i
$514$	1.80235	−	0.648171i	0.0794982	−	0.0285896i
$515$	−8.16609	+	3.38250i	−0.359841	+	0.149051i
$516$	4.43914	−	7.81633i	0.195422	−	0.344095i
$517$	−26.8828	+	64.9009i	−1.18231	+	2.85434i
$518$	−1.03422	+	0.940404i	−0.0454410	+	0.0413190i
$519$	−0.0968155	−	0.0434160i	−0.00424973	−	0.00190575i
$520$	−1.51151	+	2.54969i	−0.0662841	+	0.111811i
$521$	18.2126	+	18.2126i	0.797908	+	0.797908i	0.982765	−	0.184858i	$-0.0591824\pi$
$521$	18.2126	+	18.2126i	0.797908	+	0.797908i	−0.184858	+	0.982765i	$0.559182\pi$
$522$	13.8670	+	17.1408i	0.606944	+	0.750233i
$523$	−0.472480	+	1.14067i	−0.0206601	+	0.0498779i	−0.933873	−	0.357605i	$-0.883593\pi$
$523$	−0.472480	+	1.14067i	−0.0206601	+	0.0498779i	0.913213	+	0.407483i	$0.133593\pi$
$524$	9.52708	−	17.9630i	0.416192	−	0.784718i
$525$	−14.5969	−	15.4647i	−0.637062	−	0.674933i
$526$	3.00289	−	6.37565i	0.130932	−	0.277992i
$527$		−	4.36045i		−	0.189944i
$528$	−40.6317	+	7.13972i	−1.76827	+	0.310717i
$529$			14.5841i			0.634090i
$530$	−6.04627	−	2.84775i	−0.262633	−	0.123698i
$531$	15.5841	+	7.53590i	0.676291	+	0.327030i
$532$	−7.13978	−	23.2663i	−0.309549	−	1.00872i
$533$	−1.59967	+	3.86195i	−0.0692895	+	0.167280i
$534$	−2.14827	−	6.56236i	−0.0929648	−	0.283981i
$535$	−0.0150296	−	0.0150296i	−0.000649785	−	0.000649785i
$536$	−4.92668	+	34.3573i	−0.212800	+	1.48401i
$537$	2.17536	−	4.85094i	0.0938735	−	0.209333i
$538$	−16.9651	−	18.6576i	−0.731419	−	0.804386i
$539$	−9.70087	+	23.4200i	−0.417846	+	1.00877i
$540$	6.53606	−	10.1031i	0.281267	−	0.434767i
$541$	14.2297	−	5.89412i	0.611781	−	0.253408i	−0.0552087	−	0.998475i	$-0.517582\pi$
$541$	14.2297	−	5.89412i	0.611781	−	0.253408i	0.666990	+	0.745067i	$0.267582\pi$
$542$	4.06934	+	11.3155i	0.174793	+	0.486042i
$543$	−13.8993	−	36.5008i	−0.596478	−	1.56640i
$544$	−3.82865	+	0.599513i	−0.164152	+	0.0257039i
$545$		−	14.9576i		−	0.640713i
$546$	5.64541	−	4.84323i	0.241601	−	0.207271i
$547$	−6.24323	−	15.0725i	−0.266941	−	0.644453i	0.732395	−	0.680880i	$-0.238402\pi$
$547$	−6.24323	−	15.0725i	−0.266941	−	0.644453i	−0.999336	+	0.0364266i	$0.988402\pi$
$548$	8.33356	+	0.793657i	0.355992	+	0.0339033i
$549$	−1.63917	−	4.70886i	−0.0699582	−	0.200969i
$550$	22.7991	−	20.7310i	0.972158	−	0.883972i
$551$	−13.3272	−	13.3272i	−0.567756	−	0.567756i
$552$	−12.0111	−	7.59711i	−0.511225	−	0.323355i
$553$	21.1397	−	21.1397i	0.898952	−	0.898952i
$554$	1.46762	−	30.8903i	0.0623531	−	1.31240i
$555$	0.590567	+	0.0170467i	0.0250682	+	0.000723593i
$556$	−2.93082	−	9.55064i	−0.124295	−	0.405038i
$557$	−7.09223	+	2.93770i	−0.300507	+	0.124474i	−0.527842	−	0.849342i	$-0.676999\pi$
$557$	−7.09223	+	2.93770i	−0.300507	+	0.124474i	0.227335	+	0.973817i	$0.426999\pi$
$558$	−7.65755	−	25.8961i	−0.324170	−	1.09627i
$559$	−2.34854			−0.0993325
$560$	−3.12983	−	15.2210i	−0.132260	−	0.643204i
$561$	−2.51436	−	6.60291i	−0.106156	−	0.278775i
$562$	−18.6982	−	8.80674i	−0.788738	−	0.371490i
$563$	−0.517007	−	1.24817i	−0.0217892	−	0.0526039i	0.912610	−	0.408830i	$-0.134063\pi$
$563$	−0.517007	−	1.24817i	−0.0217892	−	0.0526039i	−0.934400	+	0.356226i	$0.884063\pi$
$564$	−5.04677	+	40.5548i	−0.212507	+	1.70766i
$565$	−11.2305	−	4.65183i	−0.472471	−	0.195704i
$566$	0.630073	−	13.2617i	0.0264839	−	0.557432i
$567$	−23.6693	+	18.7509i	−0.994016	+	0.787465i
$568$	7.91701	+	30.9701i	0.332190	+	1.29948i
$569$	−4.40004	+	4.40004i	−0.184459	+	0.184459i	−0.793296	−	0.608836i	$-0.791637\pi$
$569$	−4.40004	+	4.40004i	−0.184459	+	0.184459i	0.608836	+	0.793296i	$0.291637\pi$
$570$	−4.64966	+	9.17549i	−0.194753	+	0.384319i
$571$	23.9135	+	9.90528i	1.00075	+	0.414523i	0.822071	−	0.569385i	$-0.192819\pi$
$571$	23.9135	+	9.90528i	1.00075	+	0.414523i	0.178676	+	0.983908i	$0.442819\pi$
$572$	6.86463	+	8.30978i	0.287024	+	0.347449i
$573$	−27.4119	−	29.0415i	−1.14515	−	1.21322i
$574$	−7.41620	−	20.6220i	−0.309546	−	0.860745i
$575$	10.6158			0.442709
$576$	−21.6850	+	10.2841i	−0.903541	+	0.428503i
$577$	−7.45244			−0.310249			−0.155124	−	0.987895i	$-0.549578\pi$
$577$	−7.45244			−0.310249			−0.155124	+	0.987895i	$0.549578\pi$
$578$	7.91127	+	21.9986i	0.329065	+	0.915022i
$579$	8.95040	+	9.48246i	0.371966	+	0.394078i
$580$	−7.66439	−	9.27791i	−0.318246	−	0.385244i
$581$	24.8608	+	10.2977i	1.03140	+	0.427220i
$582$	9.59420	−	18.9329i	0.397692	−	0.784794i
$583$	−17.1850	+	17.1850i	−0.711732	+	0.711732i
$584$	−9.09783	+	2.32572i	−0.376471	+	0.0962389i
$585$	−3.13861	−	0.181343i	−0.129766	−	0.00749762i
$586$	−0.826808	+	17.4026i	−0.0341551	+	0.718895i
$587$	−39.1257	−	16.2064i	−1.61489	−	0.668910i	−0.621472	−	0.783436i	$-0.713465\pi$
$587$	−39.1257	−	16.2064i	−1.61489	−	0.668910i	−0.993420	+	0.114526i	$0.963465\pi$
$588$	−1.82116	+	14.6345i	−0.0751034	+	0.603515i
$589$	8.83416	+	21.3275i	0.364005	+	0.878786i
$590$	−8.54786	−	4.02598i	−0.351910	−	0.165747i
$591$	−1.43274	−	3.76249i	−0.0589350	−	0.154768i
$592$	−0.983997	−	0.648345i	−0.0404420	−	0.0266468i
$593$	−42.7694			−1.75633			−0.878164	−	0.478359i	$-0.841232\pi$
$593$	−42.7694			−1.75633			−0.878164	+	0.478359i	$0.841232\pi$
$594$	−26.5280	−	34.7981i	−1.08846	−	1.42778i
$595$	2.45879	−	1.01847i	0.100801	−	0.0417530i
$596$	8.48563	+	27.6520i	0.347585	+	1.13267i
$597$	18.2899	+	0.527938i	0.748556	+	0.0216071i
$598$	−0.176216	+	3.70899i	−0.00720603	+	0.151672i
$599$	21.3145	−	21.3145i	0.870885	−	0.870885i	−0.121684	−	0.992569i	$-0.538829\pi$
$599$	21.3145	−	21.3145i	0.870885	−	0.870885i	0.992569	+	0.121684i	$0.0388294\pi$
$600$	9.58296	−	15.1507i	0.391223	−	0.618525i
$601$	−4.26621	−	4.26621i	−0.174022	−	0.174022i	0.614722	−	0.788744i	$-0.289268\pi$
$601$	−4.26621	−	4.26621i	−0.174022	−	0.174022i	−0.788744	+	0.614722i	$0.789268\pi$
$602$	9.10964	−	8.28329i	0.371281	−	0.337602i
$603$	−34.7678	+	12.1028i	−1.41586	+	0.492865i
$604$	−8.33620	−	0.793908i	−0.339195	−	0.0323036i
$605$	10.8366	+	26.1618i	0.440570	+	1.06363i
$606$	31.5764	−	27.0896i	1.28270	−	1.10044i
$607$			30.5562i			1.24024i	0.784508	+	0.620118i	$0.212915\pi$
$607$			30.5562i			1.24024i	−0.784508	+	0.620118i	$0.787085\pi$
$608$	17.5118	−	10.6890i	0.710199	−	0.433498i
$609$	10.7471	+	28.2228i	0.435495	+	1.14364i
$610$	0.920973	+	2.56092i	0.0372891	+	0.103689i
$611$	9.86469	−	4.08609i	0.399083	−	0.165305i
$612$	−2.43068	−	3.31467i	−0.0982546	−	0.133988i
$613$	13.4587	−	32.4921i	0.543590	−	1.31234i	−0.378584	−	0.925567i	$-0.623589\pi$
$613$	13.4587	−	32.4921i	0.543590	−	1.31234i	0.922174	−	0.386775i	$-0.126411\pi$
$614$	12.9905	+	14.2865i	0.524255	+	0.576555i
$615$	−3.79007	+	8.45168i	−0.152830	+	0.340804i
$616$	−55.9355	−	8.02091i	−2.25371	−	0.323172i
$617$	32.1395	+	32.1395i	1.29389	+	1.29389i	0.932363	+	0.361524i	$0.117743\pi$
$617$	32.1395	+	32.1395i	1.29389	+	1.29389i	0.361524	+	0.932363i	$0.382257\pi$
$618$	5.81750	+	17.7708i	0.234014	+	0.714847i
$619$	14.9456	−	36.0820i	0.600716	−	1.45026i	−0.272129	−	0.962261i	$-0.587728\pi$
$619$	14.9456	−	36.0820i	0.600716	−	1.45026i	0.872846	−	0.487996i	$-0.162272\pi$
$620$	4.32420	+	14.0912i	0.173664	+	0.565917i
$621$	1.30335	−	15.0177i	0.0523018	−	0.602639i
$622$	−34.0196	−	16.0230i	−1.36406	−	0.642463i
$623$		−	9.45815i		−	0.378933i
$624$	5.13435	+	3.59963i	0.205538	+	0.144101i
$625$			6.68739i			0.267496i
$626$	3.67155	−	7.79533i	0.146745	−	0.311564i
$627$	25.6754	+	27.2017i	1.02538	+	1.08633i
$628$	16.3520	−	30.8313i	0.652517	−	1.23030i
$629$	0.0772324	−	0.186456i	0.00307946	−	0.00743447i
$630$	12.8138	−	10.3665i	0.510516	−	0.413011i
$631$	20.5960	+	20.5960i	0.819912	+	0.819912i	0.986095	−	0.166183i	$-0.0531442\pi$
$631$	20.5960	+	20.5960i	0.819912	+	0.819912i	−0.166183	+	0.986095i	$0.553144\pi$
$632$	21.6793	+	12.8520i	0.862358	+	0.511223i
$633$	27.3392	+	12.2600i	1.08664	+	0.487291i
$634$	−1.48577	+	1.35099i	−0.0590073	+	0.0536547i
$635$	−0.351471	+	0.848526i	−0.0139477	+	0.0336727i
$636$	−6.98232	+	12.2943i	−0.276867	+	0.487500i
$637$	3.55974	−	1.47449i	0.141042	−	0.0584216i
$638$	−41.1793	+	14.8091i	−1.63031	+	0.586300i
$639$	−25.3175	+	22.5517i	−1.00154	+	0.892130i
$640$	11.7781	−	5.73420i	0.465571	−	0.226664i
$641$			12.6916i			0.501289i	0.968079	+	0.250645i	$0.0806426\pi$
$641$			12.6916i			0.501289i	−0.968079	+	0.250645i	$0.919357\pi$
$642$	−0.0341273	+	0.0292780i	−0.00134690	+	0.00115551i
$643$	0.974363	+	2.35232i	0.0384251	+	0.0927665i	0.941927	−	0.335818i	$-0.109013\pi$
$643$	0.974363	+	2.35232i	0.0384251	+	0.0927665i	−0.903502	+	0.428584i	$0.859013\pi$
$644$	−12.3981	−	15.0082i	−0.488554	−	0.591405i
$645$	−5.20185	−	0.150151i	−0.204823	−	0.00591221i
$646$	2.36389	+	2.59971i	0.0930059	+	0.102284i
$647$	−22.3823	−	22.3823i	−0.879941	−	0.879941i	0.113587	−	0.993528i	$-0.463766\pi$
$647$	−22.3823	−	22.3823i	−0.879941	−	0.879941i	−0.993528	+	0.113587i	$0.963766\pi$
$648$	−20.2565	−	15.4167i	−0.795750	−	0.605626i
$649$	−24.2952	+	24.2952i	−0.953670	+	0.953670i
$650$	−4.67851	−	0.222279i	−0.183506	−	0.00871849i
$651$	1.06725	−	36.9739i	0.0418289	−	1.44912i
$652$	21.3388	+	11.3175i	0.835692	+	0.443227i
$653$	2.02663	−	0.839459i	0.0793083	−	0.0328506i	−0.342677	−	0.939453i	$-0.611334\pi$
$653$	2.02663	−	0.839459i	0.0793083	−	0.0328506i	0.421985	+	0.906603i	$0.361334\pi$
$654$	−31.5508	−	2.41302i	−1.23373	−	0.0943566i
$655$	−11.7716			−0.459953
$656$	15.2944	−	10.3627i	0.597146	−	0.404596i
$657$	−6.62483	−	7.43731i	−0.258459	−	0.290157i
$658$	−23.8521	+	50.6422i	−0.929852	+	1.97424i
$659$	−4.65284	−	11.2330i	−0.181249	−	0.437574i	0.806975	−	0.590585i	$-0.201103\pi$
$659$	−4.65284	−	11.2330i	−0.181249	−	0.437574i	−0.988224	+	0.153011i	$0.951103\pi$
$660$	14.6734	+	18.8445i	0.571161	+	0.733520i
$661$	−22.0472	−	9.13226i	−0.857538	−	0.355204i	−0.0897938	−	0.995960i	$-0.528621\pi$
$661$	−22.0472	−	9.13226i	−0.857538	−	0.355204i	−0.767744	+	0.640757i	$0.778621\pi$
$662$	19.1513	+	0.909890i	0.744337	+	0.0353639i
$663$	−0.439427	+	0.979901i	−0.0170659	+	0.0380562i
$664$	−3.21993	+	22.4549i	−0.124957	+	0.871417i
$665$	−9.96289	+	9.96289i	−0.386344	+	0.386344i
$666$	0.131230	−	1.24296i	0.00508507	−	0.0481638i
$667$	−13.9282	−	5.76923i	−0.539300	−	0.223386i
$668$	−3.62105	−	0.344855i	−0.140102	−	0.0133428i
$669$	−22.9550	+	21.6670i	−0.887491	+	0.837694i
$670$	18.9085	−	6.80000i	0.730501	−	0.262707i
$671$	9.89643			0.382048
$672$	−32.6113	+	4.14640i	−1.25801	+	0.159951i
$673$	1.77155			0.0682883			0.0341441	−	0.999417i	$-0.489129\pi$
$673$	1.77155			0.0682883			0.0341441	+	0.999417i	$0.489129\pi$
$674$	−26.5993	+	9.56579i	−1.02457	+	0.368461i
$675$	18.9432	+	1.64404i	0.729126	+	0.0632793i
$676$	−2.30967	+	24.2520i	−0.0888333	+	0.932768i
$677$	31.1005	+	12.8822i	1.19529	+	0.495105i	0.889474	−	0.456986i	$-0.151071\pi$
$677$	31.1005	+	12.8822i	1.19529	+	0.495105i	0.305815	+	0.952091i	$0.401071\pi$
$678$	−11.6241	+	22.9386i	−0.446421	+	0.880953i
$679$	20.5577	−	20.5577i	0.788930	−	0.788930i
$680$	1.34519	+	1.79555i	0.0515855	+	0.0688563i
$681$	−18.5526	−	8.31973i	−0.710937	−	0.318813i
$682$	53.5394	+	2.54369i	2.05013	+	0.0974028i
$683$	2.51740	+	1.04274i	0.0963256	+	0.0398994i	0.430326	−	0.902674i	$-0.358399\pi$
$683$	2.51740	+	1.04274i	0.0963256	+	0.0398994i	−0.334000	+	0.942573i	$0.608399\pi$
$684$	18.6042	+	11.2880i	0.711350	+	0.431607i
$685$	−1.85465	−	4.47752i	−0.0708624	−	0.171077i
$686$	5.54541	−	11.7739i	0.211725	−	0.449528i
$687$	22.0365	−	8.39142i	0.840747	−	0.320153i
$688$	8.66727	+	5.71077i	0.330437	+	0.217721i
$689$	3.69401			0.140731
$690$	−0.627438	+	8.20390i	−0.0238862	+	0.312317i
$691$	36.0335	−	14.9256i	1.37078	−	0.567795i	0.428779	−	0.903409i	$-0.358944\pi$
$691$	36.0335	−	14.9256i	1.37078	−	0.567795i	0.942000	+	0.335614i	$0.108944\pi$
$692$	0.0574063	−	0.108238i	0.00218226	−	0.00411459i
$693$	−19.7041	−	56.6039i	−0.748496	−	2.15021i
$694$	−21.5809	−	1.02532i	−0.819200	−	0.0389207i
$695$	−4.08969	+	4.08969i	−0.155131	+	0.155131i
$696$	−20.8068	+	14.6701i	−0.788680	+	0.556070i
$697$	2.23732	+	2.23732i	0.0847444	+	0.0847444i
$698$	−8.13722	−	8.94899i	−0.307998	−	0.338724i
$699$	0.828543	−	28.7040i	0.0313384	−	1.08569i
$700$	18.9312	−	15.6389i	0.715534	−	0.591095i
$701$	−1.39440	−	3.36638i	−0.0526658	−	0.127147i	0.895357	−	0.445350i	$-0.146921\pi$
$701$	−1.39440	−	3.36638i	−0.0526658	−	0.127147i	−0.948023	+	0.318203i	$0.896921\pi$
$702$	−0.888851	+	6.59118i	−0.0335475	+	0.248768i
$703$			1.06845i			0.0402973i
$704$	−5.12760	−	47.3595i	−0.193254	−	1.78493i
$705$	22.1109	−	8.41972i	0.832743	−	0.317105i
$706$	37.8693	−	13.6188i	1.42523	−	0.512550i
$707$	52.6494	−	21.8081i	1.98008	−	0.820177i
$708$	−9.87118	+	17.3809i	−0.370982	+	0.653216i
$709$	9.10175	−	21.9736i	0.341824	−	0.825235i	−0.655708	−	0.755015i	$-0.727630\pi$
$709$	9.10175	−	21.9736i	0.341824	−	0.825235i	0.997531	−	0.0702205i	$-0.0223703\pi$
$710$	13.6922	−	12.4501i	0.513858	−	0.467245i
$711$	−1.54191	+	26.6868i	−0.0578263	+	1.00083i
$712$	7.72485	−	1.97474i	0.289501	−	0.0740064i
$713$	13.0568	+	13.0568i	0.488980	+	0.488980i
$714$	−1.75164	−	5.35076i	−0.0655534	−	0.200247i
$715$	2.38796	−	5.76505i	0.0893047	−	0.215601i
$716$	5.42325	+	2.87634i	0.202677	+	0.107494i
$717$	−27.2003	+	25.6741i	−1.01581	+	0.958816i
$718$	2.97065	−	6.30721i	0.110864	−	0.235383i
$719$			19.5450i			0.728907i	0.931222	+	0.364453i	$0.118744\pi$
$719$			19.5450i			0.728907i	−0.931222	+	0.364453i	$0.881256\pi$
$720$	11.1421	+	8.30119i	0.415241	+	0.309367i
$721$			25.6126i			0.953863i
$722$	7.47971	+	3.52289i	0.278366	+	0.131109i
$723$	−18.4017	+	17.3692i	−0.684366	+	0.645966i
$724$	43.1154	−	13.2309i	1.60237	−	0.491723i
$725$	7.27728	−	17.5689i	0.270271	−	0.652493i
$726$	56.9327	−	18.6376i	2.11297	−	0.691707i
$727$	−20.8914	−	20.8914i	−0.774821	−	0.774821i	0.204124	−	0.978945i	$-0.434565\pi$
$727$	−20.8914	−	20.8914i	−0.774821	−	0.774821i	−0.978945	+	0.204124i	$0.934565\pi$
$728$	5.14974	+	6.87388i	0.190862	+	0.254763i
$729$	4.65151	−	26.5963i	0.172278	−	0.985048i
$730$	3.65738	+	4.02224i	0.135366	+	0.148870i
$731$	−0.680281	+	1.64234i	−0.0251611	+	0.0607443i
$732$	5.55046	−	1.52952i	0.205151	−	0.0565326i
$733$	−9.09957	+	3.76916i	−0.336100	+	0.139217i	−0.544350	−	0.838859i	$-0.683223\pi$
$733$	−9.09957	+	3.76916i	−0.336100	+	0.139217i	0.208249	+	0.978076i	$0.433223\pi$
$734$	−3.52911	−	9.81328i	−0.130262	−	0.362215i
$735$	7.97886	−	3.03831i	0.294305	−	0.112070i
$736$	9.66922	−	13.2595i	0.356412	−	0.488753i
$737$		−	73.0703i		−	2.69158i
$738$	17.2161	+	9.35805i	0.633734	+	0.344475i
$739$	8.03797	+	19.4054i	0.295682	+	0.713839i	0.999992	+	0.00394665i	$0.00125626\pi$
$739$	8.03797	+	19.4054i	0.295682	+	0.713839i	−0.704311	+	0.709892i	$0.748744\pi$
$740$	−0.0646786	+	0.679139i	−0.00237763	+	0.0249656i
$741$	0.164043	−	5.68309i	0.00602625	−	0.208774i
$742$	−14.3286	+	13.0288i	−0.526018	+	0.478302i
$743$	14.8827	+	14.8827i	0.545995	+	0.545995i	0.925280	−	0.379285i	$-0.123830\pi$
$743$	14.8827	+	14.8827i	0.545995	+	0.545995i	−0.379285	+	0.925280i	$0.623830\pi$
$744$	30.4209	−	6.84799i	1.11528	−	0.251060i
$745$	11.8409	−	11.8409i	0.433817	−	0.433817i
$746$	−0.561438	+	11.8171i	−0.0205557	+	0.432655i
$747$	−22.7232	+	7.91004i	−0.831398	+	0.289413i
$748$	7.79949	−	2.39344i	0.285177	−	0.0875130i
$749$	−0.0569026	+	0.0235698i	−0.00207917	+	0.000861222i
$750$	−24.4880	−	1.87286i	−0.894177	−	0.0683871i
$751$	−47.9945			−1.75135			−0.875673	−	0.482905i	$-0.839582\pi$
$751$	−47.9945			−1.75135			−0.875673	+	0.482905i	$0.839582\pi$
$752$	−46.3415	−	8.90756i	−1.68990	−	0.324825i
$753$	−4.59272	+	1.74889i	−0.167368	+	0.0637330i
$754$	6.01750	+	2.83420i	0.219144	+	0.103216i
$755$	1.85523	+	4.47893i	0.0675189	+	0.163005i
$756$	−19.7994	−	28.7012i	−0.720097	−	1.04385i
$757$	−4.61422	−	1.91127i	−0.167707	−	0.0694663i	0.297251	−	0.954799i	$-0.403930\pi$
$757$	−4.61422	−	1.91127i	−0.167707	−	0.0694663i	−0.464957	+	0.885333i	$0.653930\pi$
$758$	−1.64727	+	34.6717i	−0.0598317	+	1.25933i
$759$	27.3004	+	12.2426i	0.990943	+	0.444379i
$760$	−10.2172	−	6.05698i	−0.370617	−	0.219710i
$761$	−35.4112	+	35.4112i	−1.28365	+	1.28365i	−0.345081	+	0.938573i	$0.612149\pi$
$761$	−35.4112	+	35.4112i	−1.28365	+	1.28365i	−0.938573	+	0.345081i	$0.887851\pi$
$762$	1.73314	+	0.878263i	0.0627849	+	0.0318161i
$763$	−40.0435	−	16.5865i	−1.44967	−	0.600473i
$764$	35.5515	−	29.3687i	1.28621	−	1.06252i
$765$	−1.03595	+	2.14232i	−0.0374549	+	0.0774557i
$766$	−5.44286	−	15.1348i	−0.196659	−	0.546842i
$767$	5.22237			0.188569
$768$	−10.1953	−	25.7693i	−0.367893	−	0.929868i
$769$	49.1306			1.77169			0.885847	−	0.463978i	$-0.153578\pi$
$769$	49.1306			1.77169			0.885847	+	0.463978i	$0.153578\pi$
$770$	11.0708	+	30.7842i	0.398963	+	1.10938i
$771$	−1.70592	+	1.61020i	−0.0614371	+	0.0579898i
$772$	−11.6081	+	9.58931i	−0.417784	+	0.345127i
$773$	−48.9331	−	20.2688i	−1.76000	−	0.729017i	−0.996535	−	0.0831696i	$-0.973496\pi$
$773$	−48.9331	−	20.2688i	−1.76000	−	0.729017i	−0.763467	−	0.645847i	$-0.776504\pi$
$774$	−1.15591	+	10.9483i	−0.0415482	+	0.393528i
$775$	−16.4698	+	16.4698i	−0.591611	+	0.591611i
$776$	21.0824	+	12.4981i	0.756815	+	0.448656i
$777$	0.700519	−	1.56212i	0.0251310	−	0.0560408i
$778$	−0.818228	+	17.2220i	−0.0293349	+	0.617439i
$779$	−15.4757	−	6.41026i	−0.554476	−	0.229672i
$780$	0.448296	−	3.60242i	0.0160516	−	0.128987i
$781$	−25.7531	−	62.1736i	−0.921520	−	2.22474i
$782$	2.54267	+	1.19758i	0.0909259	+	0.0428254i
$783$	−23.9605	−	12.4519i	−0.856277	−	0.444993i
$784$	−16.7227	−	3.21436i	−0.597238	−	0.114798i
$785$	−20.2044			−0.721126
$786$	−1.89904	+	24.8303i	−0.0677364	+	0.885669i
$787$	−44.3943	+	18.3887i	−1.58249	+	0.655487i	−0.988805	−	0.149214i	$-0.952326\pi$
$787$	−44.3943	+	18.3887i	−1.58249	+	0.655487i	−0.593681	+	0.804701i	$0.702326\pi$
$788$	4.44432	−	1.36384i	0.158322	−	0.0485847i
$789$	−0.249039	+	8.62771i	−0.00886602	+	0.307155i
$790$	0.692429	−	14.5742i	0.0246355	−	0.518527i
$791$	−24.9072	+	24.9072i	−0.885597	+	0.885597i
$792$	42.1168	−	27.9113i	1.49655	−	0.991784i
$793$	−1.06364	−	1.06364i	−0.0377711	−	0.0377711i
$794$	9.98639	−	9.08051i	0.354404	−	0.322255i
$795$	8.18198	+	0.236173i	0.290185	+	0.00837619i
$796$	−2.00310	+	21.0330i	−0.0709981	+	0.745495i
$797$	−10.5848	−	25.5539i	−0.374931	−	0.905164i	−0.992899	−	0.118961i	$-0.962044\pi$
$797$	−10.5848	−	25.5539i	−0.374931	−	0.905164i	0.617968	−	0.786203i	$-0.287956\pi$
$798$	19.4080	+	22.6225i	0.687035	+	0.800828i
$799$		−	8.08201i		−	0.285921i
$800$	16.7255	+	12.1967i	0.591337	+	0.431219i
$801$	5.62505	+	6.31492i	0.198752	+	0.223127i
$802$	2.61386	+	7.26829i	0.0922987	+	0.256652i
$803$	18.2642	−	7.56530i	0.644531	−	0.266974i
$804$	−11.2932	−	40.9818i	−0.398280	−	1.44532i
$805$	−4.31287	+	10.4122i	−0.152009	+	0.366981i
$806$	−5.48089	−	6.02767i	−0.193056	−	0.212315i
$807$	28.1811	+	12.6375i	0.992022	+	0.444863i
$808$	28.8040	+	38.4476i	1.01332	+	1.35258i
$809$	26.4258	+	26.4258i	0.929083	+	0.929083i	0.997647	−	0.0685638i	$-0.0218417\pi$
$809$	26.4258	+	26.4258i	0.929083	+	0.929083i	−0.0685638	+	0.997647i	$0.521842\pi$
$810$	−2.39014	+	14.5422i	−0.0839811	+	0.510960i
$811$	10.2190	−	24.6709i	0.358838	−	0.866311i	−0.636626	−	0.771173i	$-0.719671\pi$
$811$	10.2190	−	24.6709i	0.358838	−	0.866311i	0.995464	−	0.0951387i	$-0.0303295\pi$
$812$	−33.3373	+	10.2303i	−1.16991	+	0.359012i
$813$	−10.1091	−	10.7101i	−0.354542	−	0.375618i
$814$	2.24432	+	1.05706i	0.0786634	+	0.0370499i
$815$		−	13.9838i		−	0.489831i
$816$	4.00446	−	2.54780i	0.140184	−	0.0891909i
$817$		−	9.41115i		−	0.329254i
$818$	−18.4478	+	39.1678i	−0.645011	+	1.36947i
$819$	−3.96590	+	8.20140i	−0.138580	+	0.286580i
$820$	−9.44881	−	5.01138i	−0.329967	−	0.175005i
$821$	15.9273	−	38.4519i	0.555866	−	1.34198i	−0.357146	−	0.934048i	$-0.616250\pi$
$821$	15.9273	−	38.4519i	0.555866	−	1.34198i	0.913013	−	0.407932i	$-0.133750\pi$
$822$	−9.74385	+	3.18977i	−0.339856	+	0.111256i
$823$	−27.1818	−	27.1818i	−0.947499	−	0.947499i	0.0511904	−	0.998689i	$-0.483698\pi$
$823$	−27.1818	−	27.1818i	−0.947499	−	0.947499i	−0.998689	+	0.0511904i	$0.983698\pi$
$824$	−20.9188	+	5.34757i	−0.728742	+	0.186291i
$825$	−15.4428	+	34.4366i	−0.537648	+	1.19893i
$826$	−20.2569	+	18.4193i	−0.704826	+	0.640890i
$827$	−12.6297	+	30.4907i	−0.439176	+	1.06027i	0.537058	+	0.843546i	$0.319536\pi$
$827$	−12.6297	+	30.4907i	−0.439176	+	1.06027i	−0.976234	+	0.216720i	$0.930464\pi$
$828$	17.2037	+	2.64697i	0.597869	+	0.0919887i
$829$	−34.6568	+	14.3553i	−1.20368	+	0.498581i	−0.892187	−	0.451667i	$-0.850829\pi$
$829$	−34.6568	+	14.3553i	−1.20368	+	0.498581i	−0.311494	+	0.950248i	$0.600829\pi$
$830$	12.3580	−	4.44427i	0.428954	−	0.154263i
$831$	13.4786	+	35.3960i	0.467568	+	1.22787i
$832$	−4.53897	+	5.64118i	−0.157361	+	0.195573i
$833$		−	2.91645i		−	0.101049i
$834$	7.96683	+	9.28636i	0.275869	+	0.321560i
$835$	0.805870	+	1.94554i	0.0278883	+	0.0673282i
$836$	−33.2993	+	27.5082i	−1.15168	+	0.951391i
$837$	21.2770	+	25.3211i	0.735439	+	0.875225i
$838$	16.5857	+	18.2403i	0.572944	+	0.630101i
$839$	−5.13731	−	5.13731i	−0.177360	−	0.177360i	0.612844	−	0.790204i	$-0.290025\pi$
$839$	−5.13731	−	5.13731i	−0.177360	−	0.177360i	−0.790204	+	0.612844i	$0.790025\pi$
$840$	10.9669	+	15.5544i	0.378392	+	0.536678i
$841$	1.41020	−	1.41020i	0.0486277	−	0.0486277i
$842$	−40.9240	−	1.94433i	−1.41034	−	0.0670059i
$843$	25.3030	+	0.730371i	0.871481	+	0.0251553i
$844$	−16.2107	+	30.5647i	−0.557994	+	1.05208i
$845$	13.0303	−	5.39732i	0.448255	−	0.185673i
$846$	−14.1931	−	47.9978i	−0.487970	−	1.65020i
$847$	82.0555			2.81946
$848$	−13.6327	−	8.98247i	−0.468150	−	0.308459i
$849$	5.78660	+	15.1961i	0.198596	+	0.521528i
$850$	−1.51062	+	3.20732i	−0.0518140	+	0.110010i
$851$	0.327054	+	0.789578i	0.0112113	+	0.0270664i
$852$	−24.0528	−	30.8901i	−0.824036	−	1.05828i
$853$	27.7734	+	11.5041i	0.950943	+	0.393893i	0.803585	−	0.595190i	$-0.202923\pi$
$853$	27.7734	+	11.5041i	0.950943	+	0.393893i	0.147358	+	0.989083i	$0.452923\pi$
$854$	7.87720	+	0.374250i	0.269552	+	0.0128066i
$855$	0.726686	−	12.5772i	0.0248521	−	0.430130i
$856$	−0.0311309	−	0.0415535i	−0.00106403	−	0.00142027i
$857$	−23.9037	+	23.9037i	−0.816536	+	0.816536i	−0.985604	−	0.169069i	$-0.945924\pi$
$857$	−23.9037	+	23.9037i	−0.816536	+	0.816536i	0.169069	+	0.985604i	$0.445924\pi$
$858$	−11.7753	−	5.96709i	−0.402001	−	0.203713i
$859$	36.4970	+	15.1176i	1.24526	+	0.515805i	0.905356	−	0.424654i	$-0.139604\pi$
$859$	36.4970	+	15.1176i	1.24526	+	0.515805i	0.339907	+	0.940459i	$0.389604\pi$
$860$	0.569704	−	5.98201i	0.0194267	−	0.203985i
$861$	18.4234	+	19.5186i	0.627869	+	0.665193i
$862$	−27.2508	+	9.80008i	−0.928165	+	0.333792i
$863$	48.7809			1.66052			0.830260	−	0.557377i	$-0.188192\pi$
$863$	48.7809			1.66052			0.830260	+	0.557377i	$0.188192\pi$
$864$	19.3076	−	22.1634i	0.656858	−	0.754014i
$865$	−0.0709307			−0.00241172
$866$	−19.5298	+	7.02344i	−0.663651	+	0.238666i
$867$	−19.6533	−	20.8216i	−0.667461	−	0.707139i
$868$	42.5192	+	4.04936i	1.44319	+	0.137444i
$869$	−49.0187	−	20.3042i	−1.66284	−	0.688773i
$870$	13.1472	+	6.66228i	0.445730	+	0.225873i
$871$	−7.85341	+	7.85341i	−0.266103	+	0.266103i
$872$	5.18636	−	36.1682i	0.175632	−	1.22481i
$873$	−1.49946	+	25.9520i	−0.0507490	+	0.878342i
$874$	−14.8628	−	0.706141i	−0.502742	−	0.0238856i
$875$	−31.0796	−	12.8736i	−1.05068	−	0.435207i
$876$	9.07434	−	7.06581i	0.306594	−	0.238732i
$877$	−8.45430	−	20.4105i	−0.285481	−	0.689213i	0.714464	−	0.699672i	$-0.246671\pi$
$877$	−8.45430	−	20.4105i	−0.285481	−	0.689213i	−0.999945	+	0.0104591i	$0.996671\pi$
$878$	4.14869	−	8.80839i	0.140012	−	0.297269i
$879$	−7.59343	−	19.9410i	−0.256120	−	0.672592i
$880$	−22.8312	+	15.4693i	−0.769641	+	0.521469i
$881$	−25.8223			−0.869976			−0.434988	−	0.900436i	$-0.643247\pi$
$881$	−25.8223			−0.869976			−0.434988	+	0.900436i	$0.643247\pi$
$882$	−5.12169	−	17.3204i	−0.172456	−	0.583207i
$883$	33.3809	−	13.8268i	1.12336	−	0.465310i	0.257839	−	0.966188i	$-0.416990\pi$
$883$	33.3809	−	13.8268i	1.12336	−	0.465310i	0.865518	+	0.500878i	$0.166990\pi$
$884$	−1.09551	−	0.581028i	−0.0368460	−	0.0195421i
$885$	11.5672	+	0.333887i	0.388827	+	0.0112235i
$886$	−22.1754	−	1.05356i	−0.744996	−	0.0353952i
$887$	−34.6997	+	34.6997i	−1.16510	+	1.16510i	−0.181760	+	0.983343i	$0.558180\pi$
$887$	−34.6997	+	34.6997i	−1.16510	+	1.16510i	−0.983343	+	0.181760i	$0.941820\pi$
$888$	1.42211	+	0.245991i	0.0477228	+	0.00825493i
$889$	1.88187	+	1.88187i	0.0631158	+	0.0631158i
$890$	−3.10543	−	3.41523i	−0.104094	−	0.114479i
$891$	46.8200	+	26.0741i	1.56853	+	0.873517i
$892$	−23.2137	−	28.1006i	−0.777251	−	0.940879i
$893$	16.3739	+	39.5302i	0.547933	+	1.32283i
$894$	−23.0664	−	26.8868i	−0.771456	−	0.899231i
$895$		−	3.55398i		−	0.118796i
$896$	−2.29040	−	37.8903i	−0.0765170	−	1.26583i
$897$	−1.61838	−	4.24999i	−0.0540360	−	0.141903i
$898$	2.35030	−	0.845227i	0.0784304	−	0.0282056i
$899$	30.5593	−	12.6581i	1.01921	−	0.422170i
$900$	−3.33888	+	21.7006i	−0.111296	+	0.723355i
$901$	1.07001	−	2.58324i	0.0356473	−	0.0860602i
$902$	−28.7758	+	26.1655i	−0.958129	+	0.871216i
$903$	−6.17033	+	13.7595i	−0.205336	+	0.457889i
$904$	−25.5430	−	15.1424i	−0.849546	−	0.503629i
$905$	−18.4625	−	18.4625i	−0.613715	−	0.613715i
$906$	9.74693	−	3.19078i	0.323820	−	0.106007i
$907$	−7.42403	+	17.9232i	−0.246511	+	0.595130i	−0.997903	−	0.0647258i	$-0.979383\pi$
$907$	−7.42403	+	17.9232i	−0.246511	+	0.595130i	0.751392	+	0.659856i	$0.229383\pi$
$908$	11.0007	−	20.7414i	0.365070	−	0.688329i
$909$	−22.1825	+	45.8728i	−0.735746	+	1.52151i
$910$	2.11875	−	4.49846i	0.0702357	−	0.149123i
$911$		−	37.5930i		−	1.24551i	−0.782416	−	0.622756i	$-0.786013\pi$
$911$		−	37.5930i		−	1.24551i	0.782416	−	0.622756i	$-0.213987\pi$
$912$	−14.4246	+	20.5746i	−0.477645	+	0.681292i
$913$		−	47.7565i		−	1.58051i
$914$	40.4533	+	19.0532i	1.33808	+	0.630225i
$915$	−2.28790	−	2.42390i	−0.0756355	−	0.0801317i
$916$	7.98788	+	26.0300i	0.263927	+	0.860056i
$917$	−13.0535	+	31.5140i	−0.431066	+	1.04069i
$918$	4.35178	+	2.53079i	0.143630	+	0.0835285i
$919$	28.3220	+	28.3220i	0.934258	+	0.934258i	0.997968	−	0.0637109i	$-0.0202936\pi$
$919$	28.3220	+	28.3220i	0.934258	+	0.934258i	−0.0637109	+	0.997968i	$0.520294\pi$
$920$	−9.40451	−	1.34857i	−0.310058	−	0.0444609i
$921$	−21.5788	−	9.67681i	−0.711046	−	0.318862i
$922$	0.836138	+	0.919552i	0.0275368	+	0.0302838i
$923$	−3.91438	+	9.45014i	−0.128843	+	0.311055i
$924$	66.7206	−	18.3859i	2.19495	−	0.604852i
$925$	−0.995970	+	0.412544i	−0.0327473	+	0.0135644i
$926$	−6.70057	−	18.6321i	−0.220194	−	0.612288i
$927$	−15.2326	−	17.1008i	−0.500304	−	0.561663i
$928$	−15.3159	−	25.0920i	−0.502768	−	0.823684i
$929$		−	14.6297i		−	0.479986i	−0.970775	−	0.239993i	$-0.922855\pi$
$929$		−	14.6297i		−	0.479986i	0.970775	−	0.239993i	$-0.0771452\pi$
$930$	−11.7544	−	13.7013i	−0.385442	−	0.449283i
$931$	5.90865	+	14.2647i	0.193648	+	0.467508i
$932$	33.0090	+	3.14365i	1.08125	+	0.102974i
$933$	46.0362	+	1.32884i	1.50716	+	0.0435042i
$934$	−16.2601	+	14.7851i	−0.532047	+	0.483785i
$935$	−3.33983	−	3.33983i	−0.109224	−	0.109224i
$936$	−7.52644	−	1.52677i	−0.246009	−	0.0499041i
$937$	5.60824	−	5.60824i	0.183213	−	0.183213i	−0.609541	−	0.792754i	$-0.708646\pi$
$937$	5.60824	−	5.60824i	0.183213	−	0.183213i	0.792754	+	0.609541i	$0.208646\pi$
$938$	2.76328	−	58.1612i	0.0902241	−	1.89903i
$939$	−0.304493	+	10.5489i	−0.00993676	+	0.344249i
$940$	8.01481	+	26.1178i	0.261414	+	0.851868i
$941$	−10.5273	+	4.36054i	−0.343180	+	0.142150i	−0.547615	−	0.836730i	$-0.684464\pi$
$941$	−10.5273	+	4.36054i	−0.343180	+	0.142150i	0.204435	+	0.978880i	$0.434464\pi$
$942$	−3.25946	+	42.6182i	−0.106199	+	1.38858i
$943$	−13.3987			−0.436321
$944$	−19.2732	−	12.6989i	−0.627288	−	0.413313i
$945$	−9.30855	+	17.9120i	−0.302807	+	0.582676i
$946$	−19.7685	−	9.31083i	−0.642729	−	0.302721i
$947$	22.3491	+	53.9555i	0.726248	+	1.75332i	0.654711	+	0.755879i	$0.272790\pi$
$947$	22.3491	+	53.9555i	0.726248	+	1.75332i	0.0715370	+	0.997438i	$0.477210\pi$
$948$	−30.6304	−	3.81174i	−0.994829	−	0.123800i
$949$	−2.77609	−	1.14990i	−0.0901158	−	0.0373272i
$950$	0.890724	−	18.7479i	0.0288989	−	0.608262i
$951$	1.00637	−	2.24416i	0.0326338	−	0.0727718i
$952$	6.29862	−	1.61014i	0.204139	−	0.0521850i
$953$	32.8805	−	32.8805i	1.06510	−	1.06510i	0.0673750	−	0.997728i	$-0.478538\pi$
$953$	32.8805	−	32.8805i	1.06510	−	1.06510i	0.997728	−	0.0673750i	$-0.0214624\pi$
$954$	1.81812	−	17.2206i	0.0588639	−	0.557537i
$955$	−24.6644	−	10.2163i	−0.798122	−	0.330593i
$956$	−27.5068	−	33.2976i	−0.889633	−	1.07692i
$957$	38.9761	−	36.7891i	1.25992	−	1.18922i
$958$	16.4970	+	45.8728i	0.532995	+	1.48208i
$959$	−14.0435			−0.453489
$960$	−10.4142	+	12.2046i	−0.336116	+	0.393903i
$961$	−9.51359			−0.306890
$962$	−0.127604	−	0.354824i	−0.00411411	−	0.0114400i
$963$	0.0239745	−	0.0495786i	0.000772566	−	0.00159765i
$964$	−18.6090	−	22.5266i	−0.599357	−	0.725534i
$965$	8.05330	+	3.33578i	0.259245	+	0.107383i
$966$	21.2672	+	10.7771i	0.684260	+	0.346747i
$967$	14.6204	−	14.6204i	0.470160	−	0.470160i	−0.431807	−	0.901966i	$-0.642124\pi$
$967$	14.6204	−	14.6204i	0.470160	−	0.470160i	0.901966	+	0.431807i	$0.142124\pi$
$968$	17.1321	+	67.0180i	0.550647	+	2.15404i
$969$	−3.92670	−	1.76089i	−0.126144	−	0.0565679i
$970$	0.673364	−	14.1729i	0.0216204	−	0.455065i
$971$	39.9825	+	16.5613i	1.28310	+	0.531477i	0.916921	−	0.399068i	$-0.130666\pi$
$971$	39.9825	+	16.5613i	1.28310	+	0.531477i	0.366178	+	0.930545i	$0.380666\pi$
$972$	30.2890	+	7.38766i	0.971520	+	0.236959i
$973$	6.41357	+	15.4837i	0.205610	+	0.496386i
$974$	24.7356	+	11.6503i	0.792580	+	0.373300i
$975$	5.36091	−	2.04141i	0.171687	−	0.0653775i
$976$	1.33899	+	6.51176i	0.0428600	+	0.208436i
$977$	14.1567			0.452912			0.226456	−	0.974021i	$-0.427286\pi$
$977$	14.1567			0.452912			0.226456	+	0.974021i	$0.427286\pi$
$978$	−29.4967	−	2.25592i	−0.943201	−	0.0721365i
$979$	−15.5079	+	6.42359i	−0.495635	+	0.205299i
$980$	2.89220	+	9.42478i	0.0923880	+	0.301064i
$981$	36.6004	−	12.7408i	1.16856	−	0.406781i
$982$	1.16255	−	24.4693i	0.0370985	−	0.780847i
$983$	27.5590	−	27.5590i	0.878995	−	0.878995i	−0.114436	−	0.993431i	$-0.536506\pi$
$983$	27.5590	−	27.5590i	0.878995	−	0.878995i	0.993431	+	0.114436i	$0.0365060\pi$
$984$	−12.0951	+	19.1224i	−0.385577	+	0.609600i
$985$	−1.90311	−	1.90311i	−0.0606381	−	0.0606381i
$986$	3.72501	−	3.38711i	0.118628	−	0.107868i
$987$	1.97813	−	68.5304i	0.0629646	−	2.18135i
$988$	6.53543	+	0.622410i	0.207920	+	0.0198015i
$989$	−2.88077	−	6.95478i	−0.0916030	−	0.221149i
$990$	−25.6999	−	13.9695i	−0.816797	−	0.443981i
$991$			14.9042i			0.473446i	0.971577	+	0.236723i	$0.0760734\pi$
$991$			14.9042i			0.473446i	−0.971577	+	0.236723i	$0.923927\pi$
$992$	5.57016	+	35.5726i	0.176853	+	1.12943i
$993$	−21.9447	+	8.35645i	−0.696395	+	0.265184i
$994$	−18.1474	−	50.4618i	−0.575599	−	1.60055i
$995$	11.3008	−	4.68093i	0.358258	−	0.148395i
$996$	−7.38087	−	26.7844i	−0.233872	−	0.848697i
$997$	−4.66402	+	11.2599i	−0.147711	+	0.356606i	−0.980366	−	0.197186i	$-0.936820\pi$
$997$	−4.66402	+	11.2599i	−0.147711	+	0.356606i	0.832655	+	0.553792i	$0.186820\pi$
$998$	6.55127	+	7.20484i	0.207377	+	0.228065i
$999$	0.461327	+	1.45960i	0.0145958	+	0.0461798i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	96.2.o.a.11.6	✓	56
3.2	odd	2	inner	96.2.o.a.11.9	yes	56
4.3	odd	2		384.2.o.a.335.4		56
8.3	odd	2		768.2.o.a.671.11		56
8.5	even	2		768.2.o.b.671.4		56
12.11	even	2		384.2.o.a.335.7		56
24.5	odd	2		768.2.o.b.671.7		56
24.11	even	2		768.2.o.a.671.8		56
32.3	odd	8	inner	96.2.o.a.35.9	yes	56
32.13	even	8		768.2.o.a.95.8		56
32.19	odd	8		768.2.o.b.95.7		56
32.29	even	8		384.2.o.a.47.7		56
96.29	odd	8		384.2.o.a.47.4		56
96.35	even	8	inner	96.2.o.a.35.6	yes	56
96.77	odd	8		768.2.o.a.95.11		56
96.83	even	8		768.2.o.b.95.4		56

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
96.2.o.a.11.6	✓	56	1.1	even	1	trivial
96.2.o.a.11.9	yes	56	3.2	odd	2	inner
96.2.o.a.35.6	yes	56	96.35	even	8	inner
96.2.o.a.35.9	yes	56	32.3	odd	8	inner
384.2.o.a.47.4		56	96.29	odd	8
384.2.o.a.47.7		56	32.29	even	8
384.2.o.a.335.4		56	4.3	odd	2
384.2.o.a.335.7		56	12.11	even	2
768.2.o.a.95.8		56	32.13	even	8
768.2.o.a.95.11		56	96.77	odd	8
768.2.o.a.671.8		56	24.11	even	2
768.2.o.a.671.11		56	8.3	odd	2
768.2.o.b.95.4		56	96.83	even	8
768.2.o.b.95.7		56	32.19	odd	8
768.2.o.b.671.4		56	8.5	even	2
768.2.o.b.671.7		56	24.5	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:	\( N \)	\(=\)	\( 96 = 2^{5} \cdot 3 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	96.o (of order \(8\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.478581 - 1.33077i) q^{2} +(1.18890 + 1.25957i) q^{3} +(-1.54192 + 1.27377i) q^{4} +(1.06973 + 0.443098i) q^{5} +(1.10722 - 2.18496i) q^{6} +(2.37247 - 2.37247i) q^{7} +(2.43303 + 1.44235i) q^{8} +(-0.173046 + 2.99501i) q^{9} +O(q^{10})\)	\(q+(-0.478581 - 1.33077i) q^{2} +(1.18890 + 1.25957i) q^{3} +(-1.54192 + 1.27377i) q^{4} +(1.06973 + 0.443098i) q^{5} +(1.10722 - 2.18496i) q^{6} +(2.37247 - 2.37247i) q^{7} +(2.43303 + 1.44235i) q^{8} +(-0.173046 + 2.99501i) q^{9} +(0.0777099 - 1.63563i) q^{10} +(-5.50127 - 2.27870i) q^{11} +(-3.43759 - 0.427784i) q^{12} +(0.346353 + 0.836171i) q^{13} +(-4.29263 - 2.02180i) q^{14} +(0.713689 + 1.87421i) q^{15} +(0.755041 - 3.92809i) q^{16} +0.685064 q^{17} +(4.06849 - 1.20307i) q^{18} +(-3.35074 + 1.38792i) q^{19} +(-2.21385 + 0.679368i) q^{20} +(5.80891 + 0.167674i) q^{21} +(-0.399635 + 8.41149i) q^{22} +(-2.05133 + 2.05133i) q^{23} +(1.07588 + 4.77938i) q^{24} +(-2.58754 - 2.58754i) q^{25} +(0.946997 - 0.861094i) q^{26} +(-3.97816 + 3.34279i) q^{27} +(-0.636189 + 6.68012i) q^{28} +(1.98869 + 4.80112i) q^{29} +(2.15259 - 1.84672i) q^{30} -6.36503i q^{31} +(-5.58875 + 0.875120i) q^{32} +(-3.67025 - 9.63838i) q^{33} +(-0.327858 - 0.911666i) q^{34} +(3.58914 - 1.48667i) q^{35} +(-3.54811 - 4.83848i) q^{36} +(0.112738 - 0.272172i) q^{37} +(3.45061 + 3.79484i) q^{38} +(-0.641440 + 1.43038i) q^{39} +(1.96359 + 2.62100i) q^{40} +(3.26585 + 3.26585i) q^{41} +(-2.55690 - 7.81060i) q^{42} +(-0.993018 + 2.39736i) q^{43} +(11.3850 - 3.49375i) q^{44} +(-1.51219 + 3.12718i) q^{45} +(3.71159 + 1.74813i) q^{46} -11.7975i q^{47} +(5.84538 - 3.71907i) q^{48} -4.25719i q^{49} +(-2.20508 + 4.68178i) q^{50} +(0.814471 + 0.862888i) q^{51} +(-1.59914 - 0.848137i) q^{52} +(1.56192 - 3.77080i) q^{53} +(6.35237 + 3.69424i) q^{54} +(-4.87520 - 4.87520i) q^{55} +(9.19420 - 2.35035i) q^{56} +(-5.73187 - 2.57040i) q^{57} +(5.43746 - 4.94422i) q^{58} +(2.20815 - 5.33094i) q^{59} +(-3.48775 - 1.98080i) q^{60} +(-1.53549 + 0.636020i) q^{61} +(-8.47042 + 3.04618i) q^{62} +(6.69500 + 7.51609i) q^{63} +(3.83926 + 7.01855i) q^{64} +1.04795i q^{65} +(-11.0700 + 9.49703i) q^{66} +(4.69605 + 11.3373i) q^{67} +(-1.05631 + 0.872611i) q^{68} +(-5.02262 - 0.144978i) q^{69} +(-3.69612 - 4.06485i) q^{70} +(7.99150 + 7.99150i) q^{71} +(-4.74087 + 7.03734i) q^{72} +(-2.34760 + 2.34760i) q^{73} +(-0.416154 - 0.0197717i) q^{74} +(0.182875 - 6.33551i) q^{75} +(3.39869 - 6.40812i) q^{76} +(-18.4577 + 7.64543i) q^{77} +(2.21049 + 0.169060i) q^{78} +8.91043 q^{79} +(2.54822 - 3.86746i) q^{80} +(-8.94011 - 1.03655i) q^{81} +(2.78314 - 5.90908i) q^{82} +(3.06920 + 7.40970i) q^{83} +(-9.17046 + 7.14065i) q^{84} +(0.732836 + 0.303551i) q^{85} +(3.66558 + 0.174154i) q^{86} +(-3.68301 + 8.21294i) q^{87} +(-10.0981 - 13.4789i) q^{88} +(1.99332 - 1.99332i) q^{89} +(4.88528 + 0.515781i) q^{90} +(2.80550 + 1.16208i) q^{91} +(0.550075 - 5.77591i) q^{92} +(8.01722 - 7.56737i) q^{93} +(-15.6997 + 5.64603i) q^{94} -4.19938 q^{95} +(-7.74673 - 5.99901i) q^{96} +8.66510 q^{97} +(-5.66537 + 2.03741i) q^{98} +(7.77669 - 16.0820i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 56 q - 4 q^{3} - 8 q^{4} - 4 q^{6} - 8 q^{7} - 4 q^{9}+O(q^{10}) \) 56 * q - 4 * q^3 - 8 * q^4 - 4 * q^6 - 8 * q^7 - 4 * q^9	\( 56 q - 4 q^{3} - 8 q^{4} - 4 q^{6} - 8 q^{7} - 4 q^{9} - 16 q^{10} - 4 q^{12} - 8 q^{13} - 8 q^{15} - 40 q^{16} - 4 q^{18} - 8 q^{19} - 4 q^{21} - 24 q^{22} + 16 q^{24} - 8 q^{25} - 28 q^{27} - 8 q^{28} + 44 q^{30} - 8 q^{33} - 24 q^{34} + 48 q^{36} - 8 q^{37} - 28 q^{39} + 24 q^{40} + 56 q^{42} - 8 q^{43} - 4 q^{45} + 24 q^{46} + 48 q^{48} - 16 q^{51} + 48 q^{52} + 40 q^{54} + 24 q^{55} - 4 q^{57} + 96 q^{58} + 8 q^{60} - 40 q^{61} + 40 q^{64} - 28 q^{66} + 56 q^{67} - 4 q^{69} + 40 q^{70} - 64 q^{72} - 8 q^{73} + 16 q^{75} + 48 q^{76} - 92 q^{78} + 16 q^{79} - 48 q^{82} - 136 q^{84} - 48 q^{85} + 52 q^{87} - 48 q^{88} - 136 q^{90} + 40 q^{91} + 8 q^{93} - 64 q^{94} - 104 q^{96} - 16 q^{97} + 60 q^{99}+O(q^{100}) \) 56 * q - 4 * q^3 - 8 * q^4 - 4 * q^6 - 8 * q^7 - 4 * q^9 - 16 * q^10 - 4 * q^12 - 8 * q^13 - 8 * q^15 - 40 * q^16 - 4 * q^18 - 8 * q^19 - 4 * q^21 - 24 * q^22 + 16 * q^24 - 8 * q^25 - 28 * q^27 - 8 * q^28 + 44 * q^30 - 8 * q^33 - 24 * q^34 + 48 * q^36 - 8 * q^37 - 28 * q^39 + 24 * q^40 + 56 * q^42 - 8 * q^43 - 4 * q^45 + 24 * q^46 + 48 * q^48 - 16 * q^51 + 48 * q^52 + 40 * q^54 + 24 * q^55 - 4 * q^57 + 96 * q^58 + 8 * q^60 - 40 * q^61 + 40 * q^64 - 28 * q^66 + 56 * q^67 - 4 * q^69 + 40 * q^70 - 64 * q^72 - 8 * q^73 + 16 * q^75 + 48 * q^76 - 92 * q^78 + 16 * q^79 - 48 * q^82 - 136 * q^84 - 48 * q^85 + 52 * q^87 - 48 * q^88 - 136 * q^90 + 40 * q^91 + 8 * q^93 - 64 * q^94 - 104 * q^96 - 16 * q^97 + 60 * q^99

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