LMFDB - Embedded newform 96.2.o.a.35.1

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			35.1
Character	$\chi$	$=$	96.35
Dual form			96.2.o.a.11.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.41060 + 0.101040i) q^{2} +(1.72928 + 0.0979076i) q^{3} +(1.97958 - 0.285053i) q^{4} +(-0.180206 + 0.0746437i) q^{5} +(-2.44922 + 0.0366175i) q^{6} +(-0.289055 - 0.289055i) q^{7} +(-2.76360 + 0.602112i) q^{8} +(2.98083 + 0.338620i) q^{9} +O(q^{10})$	\(q+(-1.41060 + 0.101040i) q^{2} +(1.72928 + 0.0979076i) q^{3} +(1.97958 - 0.285053i) q^{4} +(-0.180206 + 0.0746437i) q^{5} +(-2.44922 + 0.0366175i) q^{6} +(-0.289055 - 0.289055i) q^{7} +(-2.76360 + 0.602112i) q^{8} +(2.98083 + 0.338620i) q^{9} +(0.246656 - 0.123500i) q^{10} +(3.10859 - 1.28762i) q^{11} +(3.45116 - 0.299121i) q^{12} +(-1.27981 + 3.08973i) q^{13} +(0.436947 + 0.378535i) q^{14} +(-0.318935 + 0.111436i) q^{15} +(3.83749 - 1.12857i) q^{16} -0.806332 q^{17} +(-4.23897 - 0.176475i) q^{18} +(-5.57935 - 2.31104i) q^{19} +(-0.335455 + 0.199131i) q^{20} +(-0.471557 - 0.528159i) q^{21} +(-4.25488 + 2.13041i) q^{22} +(-5.03681 - 5.03681i) q^{23} +(-4.83799 + 0.770644i) q^{24} +(-3.50863 + 3.50863i) q^{25} +(1.49311 - 4.48768i) q^{26} +(5.12154 + 0.877415i) q^{27} +(-0.654605 - 0.489813i) q^{28} +(-3.64020 + 8.78822i) q^{29} +(0.438629 - 0.189417i) q^{30} -7.48336i q^{31} +(-5.29913 + 1.97970i) q^{32} +(5.50170 - 1.92230i) q^{33} +(1.13741 - 0.0814715i) q^{34} +(0.0736656 + 0.0305133i) q^{35} +(5.99732 - 0.179369i) q^{36} +(-1.47112 - 3.55159i) q^{37} +(8.10374 + 2.69622i) q^{38} +(-2.51565 + 5.21770i) q^{39} +(0.453072 - 0.314789i) q^{40} +(2.62513 - 2.62513i) q^{41} +(0.718544 + 0.697375i) q^{42} +(2.84744 + 6.87432i) q^{43} +(5.78667 - 3.43506i) q^{44} +(-0.562438 + 0.161479i) q^{45} +(7.61384 + 6.59601i) q^{46} +0.399772i q^{47} +(6.74660 - 1.57590i) q^{48} -6.83289i q^{49} +(4.59476 - 5.30378i) q^{50} +(-1.39438 - 0.0789461i) q^{51} +(-1.65275 + 6.48118i) q^{52} +(1.42173 + 3.43237i) q^{53} +(-7.31309 - 0.720202i) q^{54} +(-0.464073 + 0.464073i) q^{55} +(0.972876 + 0.624789i) q^{56} +(-9.42200 - 4.54271i) q^{57} +(4.24691 - 12.7645i) q^{58} +(0.918629 + 2.21777i) q^{59} +(-0.599592 + 0.311511i) q^{60} +(8.81133 + 3.64977i) q^{61} +(0.756117 + 10.5560i) q^{62} +(-0.763745 - 0.959504i) q^{63} +(7.27492 - 3.32799i) q^{64} -0.652316i q^{65} +(-7.56646 + 3.26749i) q^{66} +(-3.76613 + 9.09225i) q^{67} +(-1.59620 + 0.229847i) q^{68} +(-8.21692 - 9.20321i) q^{69} +(-0.106996 - 0.0355989i) q^{70} +(2.86762 - 2.86762i) q^{71} +(-8.44169 + 0.858984i) q^{72} +(-6.97993 - 6.97993i) q^{73} +(2.43401 + 4.86123i) q^{74} +(-6.41093 + 5.72389i) q^{75} +(-11.7036 - 2.98449i) q^{76} +(-1.27075 - 0.526361i) q^{77} +(3.02138 - 7.61427i) q^{78} +8.01674 q^{79} +(-0.607297 + 0.489819i) q^{80} +(8.77067 + 2.01873i) q^{81} +(-3.43776 + 3.96825i) q^{82} +(2.47115 - 5.96589i) q^{83} +(-1.08404 - 0.911115i) q^{84} +(0.145306 - 0.0601876i) q^{85} +(-4.71117 - 9.40921i) q^{86} +(-7.15536 + 14.8409i) q^{87} +(-7.81560 + 5.43018i) q^{88} +(5.43308 + 5.43308i) q^{89} +(0.777059 - 0.284610i) q^{90} +(1.26304 - 0.523167i) q^{91} +(-11.4065 - 8.53503i) q^{92} +(0.732678 - 12.9408i) q^{93} +(-0.0403928 - 0.563918i) q^{94} +1.17794 q^{95} +(-9.35752 + 2.90463i) q^{96} +2.61408 q^{97} +(0.690393 + 9.63848i) q^{98} +(9.70219 - 2.78555i) 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 $\left(\mathbb{Z}/96\mathbb{Z}\right)^\times$.

$n$	$31$	$37$	$65$
$\chi(n)$	$-1$	$e\left(\frac{3}{8}\right)$	$-1$

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 $

$2$	−1.41060	+	0.101040i	−0.997444	+	0.0714458i
$2$	−1.41060	+	0.101040i	−0.997444	+	0.0714458i
$3$	1.72928	+	0.0979076i	0.998401	+	0.0565270i
$3$	1.72928	+	0.0979076i	0.998401	+	0.0565270i
$4$	1.97958	−	0.285053i	0.989791	−	0.142526i
$5$	−0.180206	+	0.0746437i	−0.0805904	+	0.0333817i	−0.422614	−	0.906310i	$-0.638888\pi$
$5$	−0.180206	+	0.0746437i	−0.0805904	+	0.0333817i	0.342024	+	0.939691i	$0.388888\pi$
$6$	−2.44922	+	0.0366175i	−0.999888	+	0.0149490i
$7$	−0.289055	−	0.289055i	−0.109253	−	0.109253i	0.650367	−	0.759620i	$-0.274615\pi$
$7$	−0.289055	−	0.289055i	−0.109253	−	0.109253i	−0.759620	+	0.650367i	$0.774615\pi$
$8$	−2.76360	+	0.602112i	−0.977079	+	0.212879i
$9$	2.98083	+	0.338620i	0.993609	+	0.112873i
$10$	0.246656	−	0.123500i	0.0779995	−	0.0390542i
$11$	3.10859	−	1.28762i	0.937276	−	0.388232i	0.138842	−	0.990315i	$-0.455662\pi$
$11$	3.10859	−	1.28762i	0.937276	−	0.388232i	0.798434	+	0.602082i	$0.205662\pi$
$12$	3.45116	−	0.299121i	0.996265	−	0.0863487i
$13$	−1.27981	+	3.08973i	−0.354954	+	0.856936i	0.641039	+	0.767508i	$0.278504\pi$
$13$	−1.27981	+	3.08973i	−0.354954	+	0.856936i	−0.995993	+	0.0894273i	$0.971496\pi$
$14$	0.436947	+	0.378535i	0.116779	+	0.101168i
$15$	−0.318935	+	0.111436i	−0.0823486	+	0.0287727i
$16$	3.83749	−	1.12857i	0.959372	−	0.282143i
$17$	−0.806332			−0.195564			−0.0977822	−	0.995208i	$-0.531175\pi$
$17$	−0.806332			−0.195564			−0.0977822	+	0.995208i	$0.531175\pi$
$18$	−4.23897	−	0.176475i	−0.999135	−	0.0415955i
$19$	−5.57935	−	2.31104i	−1.27999	−	0.530190i	−0.364004	−	0.931397i	$-0.618591\pi$
$19$	−5.57935	−	2.31104i	−1.27999	−	0.530190i	−0.915987	+	0.401208i	$0.868591\pi$
$20$	−0.335455	+	0.199131i	−0.0750099	+	0.0445271i
$21$	−0.471557	−	0.528159i	−0.102902	−	0.115254i
$22$	−4.25488	+	2.13041i	−0.907143	+	0.454205i
$23$	−5.03681	−	5.03681i	−1.05025	−	1.05025i	−0.998669	−	0.0515792i	$-0.983575\pi$
$23$	−5.03681	−	5.03681i	−1.05025	−	1.05025i	−0.0515792	−	0.998669i	$-0.516425\pi$
$24$	−4.83799	+	0.770644i	−0.987550	+	0.157307i
$25$	−3.50863	+	3.50863i	−0.701726	+	0.701726i
$26$	1.49311	−	4.48768i	0.292823	−	0.880106i
$27$	5.12154	+	0.877415i	0.985640	+	0.168859i
$28$	−0.654605	−	0.489813i	−0.123709	−	0.0925659i
$29$	−3.64020	+	8.78822i	−0.675968	+	1.63193i	0.0953212	+	0.995447i	$0.469612\pi$
$29$	−3.64020	+	8.78822i	−0.675968	+	1.63193i	−0.771289	+	0.636485i	$0.780388\pi$
$30$	0.438629	−	0.189417i	0.0800824	−	0.0345827i
$31$		−	7.48336i		−	1.34405i	−0.740528	−	0.672026i	$-0.765424\pi$
$31$		−	7.48336i		−	1.34405i	0.740528	−	0.672026i	$-0.234576\pi$
$32$	−5.29913	+	1.97970i	−0.936763	+	0.349965i
$33$	5.50170	−	1.92230i	0.957723	−	0.334630i
$34$	1.13741	−	0.0814715i	0.195065	−	0.0139723i
$35$	0.0736656	+	0.0305133i	0.0124518	+	0.00515769i
$36$	5.99732	−	0.179369i	0.999553	−	0.0298948i
$37$	−1.47112	−	3.55159i	−0.241850	−	0.583878i	0.755616	−	0.655014i	$-0.227337\pi$
$37$	−1.47112	−	3.55159i	−0.241850	−	0.583878i	−0.997467	+	0.0711364i	$0.977337\pi$
$38$	8.10374	+	2.69622i	1.31460	+	0.437385i
$39$	−2.51565	+	5.21770i	−0.402827	+	0.835501i
$40$	0.453072	−	0.314789i	0.0716370	−	0.0497725i
$41$	2.62513	−	2.62513i	0.409976	−	0.409976i	−0.471754	−	0.881730i	$-0.656379\pi$
$41$	2.62513	−	2.62513i	0.409976	−	0.409976i	0.881730	+	0.471754i	$0.156379\pi$
$42$	0.718544	+	0.697375i	0.110874	+	0.107607i
$43$	2.84744	+	6.87432i	0.434230	+	1.04832i	0.977909	+	0.209031i	$0.0670310\pi$
$43$	2.84744	+	6.87432i	0.434230	+	1.04832i	−0.543679	+	0.839293i	$0.682969\pi$
$44$	5.78667	−	3.43506i	0.872374	−	0.517855i
$45$	−0.562438	+	0.161479i	−0.0838433	+	0.0240718i
$46$	7.61384	+	6.59601i	1.12260	+	0.972528i
$47$			0.399772i			0.0583127i	0.999575	+	0.0291564i	$0.00928208\pi$
$47$			0.399772i			0.0583127i	−0.999575	+	0.0291564i	$0.990718\pi$
$48$	6.74660	−	1.57590i	0.973787	−	0.227461i
$49$		−	6.83289i		−	0.976128i
$50$	4.59476	−	5.30378i	0.649798	−	0.750068i
$51$	−1.39438	−	0.0789461i	−0.195252	−	0.0110547i
$52$	−1.65275	+	6.48118i	−0.229195	+	0.898778i
$53$	1.42173	+	3.43237i	0.195290	+	0.471472i	0.990943	−	0.134280i	$-0.0428723\pi$
$53$	1.42173	+	3.43237i	0.195290	+	0.471472i	−0.795653	+	0.605752i	$0.792872\pi$
$54$	−7.31309	−	0.720202i	−0.995186	−	0.0980071i
$55$	−0.464073	+	0.464073i	−0.0625756	+	0.0625756i
$56$	0.972876	+	0.624789i	0.130006	+	0.0834909i
$57$	−9.42200	−	4.54271i	−1.24797	−	0.601696i
$58$	4.24691	−	12.7645i	0.557646	−	1.67606i
$59$	0.918629	+	2.21777i	0.119595	+	0.288729i	0.972328	−	0.233618i	$-0.0750566\pi$
$59$	0.918629	+	2.21777i	0.119595	+	0.288729i	−0.852733	+	0.522347i	$0.825057\pi$
$60$	−0.599592	+	0.311511i	−0.0774070	+	0.0402159i
$61$	8.81133	+	3.64977i	1.12818	+	0.467306i	0.867160	−	0.498029i	$-0.165943\pi$
$61$	8.81133	+	3.64977i	1.12818	+	0.467306i	0.261015	+	0.965335i	$0.415943\pi$
$62$	0.756117	+	10.5560i	0.0960269	+	1.34062i
$63$	−0.763745	−	0.959504i	−0.0962228	−	0.120886i
$64$	7.27492	−	3.32799i	0.909365	−	0.415998i
$65$		−	0.652316i		−	0.0809098i
$66$	−7.56646	+	3.26749i	−0.931367	+	0.402200i
$67$	−3.76613	+	9.09225i	−0.460107	+	1.11080i	0.508247	+	0.861212i	$0.330294\pi$
$67$	−3.76613	+	9.09225i	−0.460107	+	1.11080i	−0.968353	+	0.249584i	$0.919706\pi$
$68$	−1.59620	+	0.229847i	−0.193568	+	0.0278731i
$69$	−8.21692	−	9.20321i	−0.989201	−	1.10794i
$70$	−0.106996	−	0.0355989i	−0.0127884	−	0.00425488i
$71$	2.86762	−	2.86762i	0.340324	−	0.340324i	−0.516165	−	0.856489i	$-0.672641\pi$
$71$	2.86762	−	2.86762i	0.340324	−	0.340324i	0.856489	+	0.516165i	$0.172641\pi$
$72$	−8.44169	+	0.858984i	−0.994863	+	0.101232i
$73$	−6.97993	−	6.97993i	−0.816939	−	0.816939i	0.168725	−	0.985663i	$-0.446035\pi$
$73$	−6.97993	−	6.97993i	−0.816939	−	0.816939i	−0.985663	+	0.168725i	$0.946035\pi$
$74$	2.43401	+	4.86123i	0.282948	+	0.565107i
$75$	−6.41093	+	5.72389i	−0.740271	+	0.660938i
$76$	−11.7036	−	2.98449i	−1.34249	−	0.342344i
$77$	−1.27075	−	0.526361i	−0.144815	−	0.0599845i
$78$	3.02138	−	7.61427i	0.342104	−	0.862146i
$79$	8.01674			0.901954			0.450977	−	0.892536i	$-0.351076\pi$
$79$	8.01674			0.901954			0.450977	+	0.892536i	$0.351076\pi$
$80$	−0.607297	+	0.489819i	−0.0678979	+	0.0547635i
$81$	8.77067	+	2.01873i	0.974519	+	0.224304i
$82$	−3.43776	+	3.96825i	−0.379637	+	0.438220i
$83$	2.47115	−	5.96589i	0.271244	−	0.654841i	−0.728293	−	0.685266i	$-0.759686\pi$
$83$	2.47115	−	5.96589i	0.271244	−	0.654841i	0.999537	+	0.0304247i	$0.00968596\pi$
$84$	−1.08404	−	0.911115i	−0.118278	−	0.0994108i
$85$	0.145306	−	0.0601876i	0.0157606	−	0.00652826i
$86$	−4.71117	−	9.40921i	−0.508019	−	1.01462i
$87$	−7.15536	+	14.8409i	−0.767135	+	1.59111i
$88$	−7.81560	+	5.43018i	−0.833146	+	0.578860i
$89$	5.43308	+	5.43308i	0.575905	+	0.575905i	0.933773	−	0.357867i	$-0.116496\pi$
$89$	5.43308	+	5.43308i	0.575905	+	0.575905i	−0.357867	+	0.933773i	$0.616496\pi$
$90$	0.777059	−	0.284610i	0.0819092	−	0.0300006i
$91$	1.26304	−	0.523167i	0.132402	−	0.0548428i
$92$	−11.4065	−	8.53503i	−1.18921	−	0.889838i
$93$	0.732678	−	12.9408i	0.0759752	−	1.34190i
$94$	−0.0403928	−	0.563918i	−0.00416620	−	0.0581637i
$95$	1.17794			0.120854
$96$	−9.35752	+	2.90463i	−0.955047	+	0.296453i
$97$	2.61408			0.265419			0.132710	−	0.991155i	$-0.457632\pi$
$97$	2.61408			0.265419			0.132710	+	0.991155i	$0.457632\pi$
$98$	0.690393	+	9.63848i	0.0697402	+	0.973633i
$99$	9.70219	−	2.78555i	0.975107	−	0.279958i
$100$	−5.94548	+	7.94577i	−0.594548	+	0.794577i
$101$	12.1420	−	5.02940i	1.20818	−	0.500444i	0.314546	−	0.949242i	$-0.398148\pi$
$101$	12.1420	−	5.02940i	1.20818	−	0.500444i	0.893633	+	0.448798i	$0.148148\pi$
$102$	1.97488	−	0.0295259i	0.195542	−	0.00292350i
$103$	8.46981	+	8.46981i	0.834555	+	0.834555i	0.988136	−	0.153581i	$-0.0490806\pi$
$103$	8.46981	+	8.46981i	0.834555	+	0.834555i	−0.153581	+	0.988136i	$0.549081\pi$
$104$	1.67651	−	9.30934i	0.164395	−	0.912856i
$105$	0.124401	+	0.0599785i	0.0121403	+	0.00585330i
$106$	−2.35230	−	4.69804i	−0.228476	−	0.456314i
$107$	1.03423	−	0.428394i	0.0999833	−	0.0414144i	−0.332131	−	0.943233i	$-0.607768\pi$
$107$	1.03423	−	0.428394i	0.0999833	−	0.0414144i	0.432114	+	0.901819i	$0.357768\pi$
$108$	10.3886	+	0.277005i	0.999645	+	0.0266548i
$109$	−0.703211	+	1.69770i	−0.0673554	+	0.162610i	−0.953973	−	0.299894i	$-0.903049\pi$
$109$	−0.703211	+	1.69770i	−0.0673554	+	0.162610i	0.886617	+	0.462504i	$0.153049\pi$
$110$	0.607732	−	0.701511i	0.0579450	−	0.0668865i
$111$	−2.19625	−	6.28573i	−0.208459	−	0.596616i
$112$	−1.43547	−	0.783027i	−0.135639	−	0.0739891i
$113$	−1.39540			−0.131268			−0.0656339	−	0.997844i	$-0.520907\pi$
$113$	−1.39540			−0.131268			−0.0656339	+	0.997844i	$0.520907\pi$
$114$	13.7497	+	5.45594i	1.28777	+	0.510996i
$115$	1.28363	+	0.531696i	0.119699	+	0.0495809i
$116$	−4.70097	+	18.4346i	−0.436474	+	1.71161i
$117$	−4.86112	+	8.77657i	−0.449411	+	0.811394i
$118$	−1.51990	−	3.03556i	−0.139918	−	0.279446i
$119$	0.233075	+	0.233075i	0.0213659	+	0.0213659i
$120$	0.814309	−	0.499999i	0.0743359	−	0.0456435i
$121$	0.227201	−	0.227201i	0.0206547	−	0.0206547i
$122$	−12.7980	−	4.25808i	−1.15868	−	0.385508i
$123$	4.79661	−	4.28257i	0.432495	−	0.386146i
$124$	−2.13316	−	14.8139i	−0.191563	−	1.33033i
$125$	0.743597	−	1.79520i	0.0665093	−	0.160568i
$126$	1.17429	+	1.27631i	0.104614	+	0.113703i
$127$		−	6.87310i		−	0.609889i	−0.952370	−	0.304944i	$-0.901362\pi$
$127$		−	6.87310i		−	0.609889i	0.952370	−	0.304944i	$-0.0986379\pi$
$128$	−9.92574	+	5.42951i	−0.877320	+	0.479906i
$129$	4.25097	+	12.1664i	0.374277	+	1.07119i
$130$	0.0659097	+	0.920156i	0.00578067	+	0.0807030i
$131$	−16.0581	−	6.65149i	−1.40300	−	0.581143i	−0.452474	−	0.891778i	$-0.649458\pi$
$131$	−16.0581	−	6.65149i	−1.40300	−	0.581143i	−0.950529	+	0.310635i	$0.899458\pi$
$132$	10.3431	−	5.37363i	0.900252	−	0.467715i
$133$	0.944722	+	2.28076i	0.0819178	+	0.197767i
$134$	4.39383	−	13.2061i	0.379569	−	1.14083i
$135$	−0.988424	+	0.224175i	−0.0850700	+	0.0192939i
$136$	2.22838	−	0.485502i	0.191082	−	0.0416315i
$137$	−10.7787	+	10.7787i	−0.920890	+	0.920890i	−0.997092	−	0.0762022i	$-0.975721\pi$
$137$	−10.7787	+	10.7787i	−0.920890	+	0.920890i	0.0762022	+	0.997092i	$0.475721\pi$
$138$	12.5207	+	12.1518i	1.06583	+	1.03443i
$139$	−1.41183	−	3.40847i	−0.119750	−	0.289102i	0.852626	−	0.522521i	$-0.175009\pi$
$139$	−1.41183	−	3.40847i	−0.119750	−	0.289102i	−0.972376	+	0.233419i	$0.925009\pi$
$140$	0.154525	+	0.0394050i	0.0130597	+	0.00333033i
$141$	−0.0391407	+	0.691318i	−0.00329624	+	0.0582195i
$142$	−3.75532	+	4.33481i	−0.315140	+	0.363769i
$143$			11.2526i			0.940990i
$144$	11.8211	−	2.06463i	0.985088	−	0.172052i
$145$		−	1.85541i		−	0.154083i
$146$	10.5511	+	9.14063i	0.873218	+	0.756484i
$147$	0.668992	−	11.8160i	0.0551776	−	0.974567i
$148$	−3.92459	−	6.61132i	−0.322599	−	0.543447i
$149$	−6.49923	−	15.6905i	−0.532438	−	1.28542i	−0.929904	−	0.367802i	$-0.880111\pi$
$149$	−6.49923	−	15.6905i	−0.532438	−	1.28542i	0.397466	−	0.917617i	$-0.369889\pi$
$150$	8.46492	−	8.72187i	0.691158	−	0.712138i
$151$	−1.50166	+	1.50166i	−0.122204	+	0.122204i	−0.765564	−	0.643360i	$-0.777540\pi$
$151$	−1.50166	+	1.50166i	−0.122204	+	0.122204i	0.643360	+	0.765564i	$0.277540\pi$
$152$	16.8106	+	3.02740i	1.36352	+	0.245554i
$153$	−2.40354	−	0.273040i	−0.194315	−	0.0220740i
$154$	1.84570	+	0.614089i	0.148731	+	0.0494847i
$155$	0.558586	+	1.34855i	0.0448667	+	0.108318i
$156$	−3.49262	+	11.0460i	−0.279633	+	0.884385i
$157$	12.7594	+	5.28511i	1.01831	+	0.421798i	0.828480	−	0.560019i	$-0.189206\pi$
$157$	12.7594	+	5.28511i	1.01831	+	0.421798i	0.189830	+	0.981817i	$0.439206\pi$
$158$	−11.3084	+	0.810009i	−0.899649	+	0.0644408i
$159$	2.12252	+	6.07473i	0.168327	+	0.481757i
$160$	0.807162	−	0.752300i	0.0638117	−	0.0594745i
$161$			2.91184i			0.229485i
$162$	−12.5759	−	1.96144i	−0.988054	−	0.154105i
$163$	3.02496	−	7.30291i	0.236933	−	0.572008i	−0.760029	−	0.649889i	$-0.774815\pi$
$163$	3.02496	−	7.30291i	0.236933	−	0.572008i	0.996963	+	0.0778809i	$0.0248154\pi$
$164$	4.44836	−	5.94496i	0.347358	−	0.464223i
$165$	−0.847950	+	0.757077i	−0.0660128	+	0.0589384i
$166$	−2.88301	+	8.66516i	−0.223765	+	0.672547i
$167$	1.65109	−	1.65109i	0.127765	−	0.127765i	−0.640333	−	0.768098i	$-0.721203\pi$
$167$	1.65109	−	1.65109i	0.127765	−	0.127765i	0.768098	+	0.640333i	$0.221203\pi$
$168$	1.62120	+	1.17569i	0.125079	+	0.0907062i
$169$	1.28389	+	1.28389i	0.0987607	+	0.0987607i
$170$	−0.198887	+	0.0995822i	−0.0152539	+	0.00763761i
$171$	−15.8485	−	8.77810i	−1.21197	−	0.671278i
$172$	7.59628	+	12.7966i	0.579211	+	0.975733i
$173$	−9.81571	−	4.06580i	−0.746275	−	0.309117i	−0.0230541	−	0.999734i	$-0.507339\pi$
$173$	−9.81571	−	4.06580i	−0.746275	−	0.309117i	−0.723221	+	0.690617i	$0.757339\pi$
$174$	8.59383	−	21.6575i	0.651497	−	1.64185i
$175$	2.02838			0.153331
$176$	10.4760	−	8.44950i	0.789659	−	0.636905i
$177$	1.37143	+	3.92508i	0.103083	+	0.295027i
$178$	−8.21286	−	7.11494i	−0.615580	−	0.533288i
$179$	−6.28126	+	15.1643i	−0.469484	+	1.13343i	0.494906	+	0.868947i	$0.335203\pi$
$179$	−6.28126	+	15.1643i	−0.469484	+	1.13343i	−0.964389	+	0.264487i	$0.914797\pi$
$180$	−1.06736	+	0.479985i	−0.0795565	+	0.0357760i
$181$	4.93385	−	2.04367i	0.366730	−	0.151905i	−0.191705	−	0.981453i	$-0.561402\pi$
$181$	4.93385	−	2.04367i	0.366730	−	0.151905i	0.558436	+	0.829548i	$0.311402\pi$
$182$	−1.72878	+	0.865596i	−0.128146	+	0.0641622i
$183$	14.8799	+	7.17418i	1.09996	+	0.530331i
$184$	16.9524	+	10.8870i	1.24975	+	0.802600i
$185$	0.530208	+	0.530208i	0.0389816	+	0.0389816i
$186$	0.274022	+	18.3284i	0.0200923	+	1.34390i
$187$	−2.50656	+	1.03825i	−0.183298	+	0.0759244i
$188$	0.113956	+	0.791382i	0.00831111	+	0.0577174i
$189$	−1.22679	−	1.73403i	−0.0892356	−	0.126132i
$190$	−1.66160	+	0.119018i	−0.120545	+	0.00863449i
$191$	11.6455			0.842637			0.421318	−	0.906913i	$-0.361567\pi$
$191$	11.6455			0.842637			0.421318	+	0.906913i	$0.361567\pi$
$192$	12.9062	−	5.04276i	0.931426	−	0.363930i
$193$	−6.03220			−0.434207			−0.217104	−	0.976149i	$-0.569661\pi$
$193$	−6.03220			−0.434207			−0.217104	+	0.976149i	$0.569661\pi$
$194$	−3.68742	+	0.264126i	−0.264741	+	0.0189631i
$195$	0.0638667	−	1.12804i	0.00457359	−	0.0807804i
$196$	−1.94774	−	13.5263i	−0.139124	−	0.966162i
$197$	−0.581435	+	0.240838i	−0.0414255	+	0.0171590i	−0.403300	−	0.915068i	$-0.632137\pi$
$197$	−0.581435	+	0.240838i	−0.0414255	+	0.0171590i	0.361874	+	0.932227i	$0.382137\pi$
$198$	−13.4045	+	4.90960i	−0.952613	+	0.348910i
$199$	−13.6071	−	13.6071i	−0.964583	−	0.964583i	0.0348110	−	0.999394i	$-0.488917\pi$
$199$	−13.6071	−	13.6071i	−0.964583	−	0.964583i	−0.999394	+	0.0348110i	$0.988917\pi$
$200$	7.58385	−	11.8090i	0.536259	−	0.835024i
$201$	−7.40291	+	15.3543i	−0.522161	+	1.08301i
$202$	−16.6194	+	8.32130i	−1.16934	+	0.585484i
$203$	3.59250	−	1.48806i	0.252144	−	0.104442i
$204$	−2.78278	+	0.241191i	−0.194834	+	0.0168867i
$205$	−0.277114	+	0.669012i	−0.0193545	+	0.0467259i
$206$	−12.8033	−	11.0917i	−0.892048	−	0.772797i
$207$	−13.3083	−	16.7194i	−0.924991	−	1.16208i
$208$	−1.42427	+	13.3011i	−0.0987551	+	0.922268i
$209$	−20.3197			−1.40554
$210$	−0.181540	−	0.0720362i	−0.0125275	−	0.00497097i
$211$	−6.94196	−	2.87545i	−0.477904	−	0.197954i	0.130710	−	0.991421i	$-0.458274\pi$
$211$	−6.94196	−	2.87545i	−0.477904	−	0.197954i	−0.608614	+	0.793466i	$0.708274\pi$
$212$	3.79284	+	6.38938i	0.260493	+	0.438824i
$213$	5.23969	−	4.67816i	0.359017	−	0.320542i
$214$	−1.41561	+	0.708791i	−0.0967689	+	0.0484520i
$215$	−1.02625	−	1.02625i	−0.0699896	−	0.0699896i
$216$	−14.6822	+	0.658919i	−0.998994	+	0.0448338i
$217$	−2.16311	+	2.16311i	−0.146841	+	0.146841i
$218$	0.820413	−	2.46583i	0.0555654	−	0.167007i
$219$	−11.3869	−	12.7536i	−0.769453	−	0.861811i
$220$	−0.786386	+	1.05096i	−0.0530181	+	0.0708555i
$221$	1.03195	−	2.49135i	0.0694164	−	0.167586i
$222$	3.73313	+	8.64475i	0.250552	+	0.580197i
$223$			6.45182i			0.432046i	0.976388	+	0.216023i	$0.0693086\pi$
$223$			6.45182i			0.432046i	−0.976388	+	0.216023i	$0.930691\pi$
$224$	2.10399	+	0.959499i	0.140578	+	0.0641092i
$225$	−11.6467	+	9.27054i	−0.776448	+	0.618036i
$226$	1.96835	−	0.140990i	0.130932	−	0.00937854i
$227$	−3.16606	−	1.31143i	−0.210139	−	0.0870424i	0.275131	−	0.961407i	$-0.411279\pi$
$227$	−3.16606	−	1.31143i	−0.210139	−	0.0870424i	−0.485270	+	0.874364i	$0.661279\pi$
$228$	−19.9465	−	6.30689i	−1.32099	−	0.417684i
$229$	8.63723	+	20.8521i	0.570764	+	1.37795i	0.900905	+	0.434015i	$0.142904\pi$
$229$	8.63723	+	20.8521i	0.570764	+	1.37795i	−0.330141	+	0.943932i	$0.607096\pi$
$230$	−1.86441	−	0.620313i	−0.122935	−	0.0409022i
$231$	−2.14595	−	1.03464i	−0.141193	−	0.0680745i
$232$	4.76855	−	26.4789i	0.313071	−	1.73842i
$233$	15.5223	−	15.5223i	1.01690	−	1.01690i	0.0170465	−	0.999855i	$-0.494574\pi$
$233$	15.5223	−	15.5223i	1.01690	−	1.01690i	0.999855	−	0.0170465i	$-0.00542634\pi$
$234$	5.97032	−	12.8714i	0.390292	−	0.841429i
$235$	−0.0298404	−	0.0720412i	−0.00194658	−	0.00469945i
$236$	2.45068	+	4.12839i	0.159526	+	0.268735i
$237$	13.8632	+	0.784900i	0.900512	+	0.0509847i
$238$	−0.352325	−	0.305225i	−0.0228378	−	0.0197848i
$239$			22.3335i			1.44463i	0.691563	+	0.722316i	$0.256922\pi$
$239$			22.3335i			1.44463i	−0.691563	+	0.722316i	$0.743078\pi$
$240$	−1.09814	+	0.787576i	−0.0708849	+	0.0508378i
$241$			10.0345i			0.646380i	0.946334	+	0.323190i	$0.104755\pi$
$241$			10.0345i			0.646380i	−0.946334	+	0.323190i	$0.895245\pi$
$242$	−0.297534	+	0.343447i	−0.0191262	+	0.0220776i
$243$	14.9693	+	4.34968i	0.960282	+	0.279032i
$244$	18.4831	+	4.71333i	1.18326	+	0.301740i
$245$	0.510032	+	1.23133i	0.0325848	+	0.0786666i
$246$	−6.33338	+	6.52563i	−0.403802	+	0.416059i
$247$	14.2810	−	14.2810i	0.908677	−	0.908677i
$248$	4.50582	+	20.6810i	0.286120	+	1.31324i
$249$	4.85742	−	10.0748i	0.307827	−	0.638462i
$250$	−0.867531	+	2.60744i	−0.0548675	+	0.164909i
$251$	−1.23078	−	2.97137i	−0.0776862	−	0.187551i	0.880265	−	0.474483i	$-0.157365\pi$
$251$	−1.23078	−	2.97137i	−0.0776862	−	0.187551i	−0.957951	+	0.286931i	$0.907365\pi$
$252$	−1.78540	−	1.68171i	−0.112470	−	0.105938i
$253$	−22.1429	−	9.17189i	−1.39211	−	0.576632i
$254$	0.694455	+	9.69519i	0.0435740	+	0.608330i
$255$	0.257167	−	0.0898547i	0.0161044	−	0.00562692i
$256$	13.4527	−	8.66176i	0.840791	−	0.541360i
$257$		−	22.7842i		−	1.42124i	−0.703576	−	0.710620i	$-0.748415\pi$
$257$		−	22.7842i		−	1.42124i	0.703576	−	0.710620i	$-0.251585\pi$
$258$	−7.22571	−	16.7324i	−0.449853	−	1.04172i
$259$	−0.601372	+	1.45184i	−0.0373675	+	0.0902130i
$260$	−0.185944	−	1.29131i	−0.0115318	−	0.0800838i
$261$	−13.8267	+	24.9635i	−0.855850	+	1.54520i
$262$	23.3236	+	7.76008i	1.44094	+	0.479419i
$263$	12.8553	−	12.8553i	0.792690	−	0.792690i	−0.189241	−	0.981931i	$-0.560603\pi$
$263$	12.8553	−	12.8553i	0.792690	−	0.792690i	0.981931	+	0.189241i	$0.0606027\pi$
$264$	−14.0470	+	8.62511i	−0.864535	+	0.530839i
$265$	−0.512409	−	0.512409i	−0.0314770	−	0.0314770i
$266$	−1.56307	−	3.12179i	−0.0958381	−	0.191409i
$267$	8.86338	+	9.92726i	0.542430	+	0.607539i
$268$	−4.86360	+	19.0724i	−0.297092	+	1.16503i
$269$	11.7742	+	4.87704i	0.717886	+	0.297358i	0.711564	−	0.702622i	$-0.247987\pi$
$269$	11.7742	+	4.87704i	0.717886	+	0.297358i	0.00632279	+	0.999980i	$0.497987\pi$
$270$	1.37162	−	0.416091i	0.0834741	−	0.0253225i
$271$	−11.6627			−0.708457			−0.354228	−	0.935159i	$-0.615256\pi$
$271$	−11.6627			−0.708457			−0.354228	+	0.935159i	$0.615256\pi$
$272$	−3.09429	+	0.910004i	−0.187619	+	0.0551771i
$273$	2.23537	−	0.781042i	0.135291	−	0.0472708i
$274$	14.1154	−	16.2936i	0.852743	−	0.984331i
$275$	−6.38912	+	15.4247i	−0.385278	+	0.930144i
$276$	−18.8895	−	15.8762i	−1.13701	−	0.955638i
$277$	8.48904	−	3.51628i	0.510057	−	0.211273i	−0.112786	−	0.993619i	$-0.535977\pi$
$277$	8.48904	−	3.51628i	0.510057	−	0.211273i	0.622843	+	0.782347i	$0.285977\pi$
$278$	2.33592	+	4.66533i	0.140099	+	0.279808i
$279$	2.53401	−	22.3066i	0.151707	−	1.33546i
$280$	−0.221954	−	0.0399715i	−0.0132643	−	0.00238875i
$281$	22.3102	+	22.3102i	1.33091	+	1.33091i	0.904553	+	0.426362i	$0.140205\pi$
$281$	22.3102	+	22.3102i	1.33091	+	1.33091i	0.426362	+	0.904553i	$0.359795\pi$
$282$	−0.0146387	−	0.979128i	−0.000871720	−	0.0583062i
$283$	−9.95203	+	4.12227i	−0.591587	+	0.245043i	−0.658333	−	0.752727i	$-0.728738\pi$
$283$	−9.95203	+	4.12227i	−0.591587	+	0.245043i	0.0667462	+	0.997770i	$0.478738\pi$
$284$	4.85927	−	6.49411i	0.288344	−	0.385355i
$285$	2.03698	+	0.115329i	0.120660	+	0.00683150i
$286$	−1.13696	−	15.8729i	−0.0672298	−	0.938585i
$287$	−1.51762			−0.0895820
$288$	−16.4662	+	4.10676i	−0.970278	+	0.241993i
$289$	−16.3498			−0.961755
$290$	0.187469	+	2.61723i	0.0110086	+	0.153689i
$291$	4.52048	+	0.255938i	0.264995	+	0.0150034i
$292$	−15.8070	−	11.8277i	−0.925034	−	0.692163i
$293$	23.2108	−	9.61422i	1.35599	−	0.561669i	0.418035	−	0.908431i	$-0.362719\pi$
$293$	23.2108	−	9.61422i	1.35599	−	0.561669i	0.937953	+	0.346762i	$0.112719\pi$
$294$	0.250204	+	16.7352i	0.0145922	+	0.976019i
$295$	−0.331084	−	0.331084i	−0.0192765	−	0.0192765i
$296$	6.20403	+	8.92939i	0.360602	+	0.519010i
$297$	17.0505	−	3.86707i	0.989373	−	0.224390i
$298$	10.7532	+	21.4764i	0.622915	+	1.24409i
$299$	22.0085	−	9.11622i	1.27279	−	0.527205i
$300$	−11.0594	+	13.1584i	−0.638512	+	0.759698i
$301$	1.16399	−	2.81013i	0.0670914	−	0.161973i
$302$	1.96652	−	2.26997i	0.113160	−	0.130622i
$303$	21.4894	−	7.50845i	1.23454	−	0.431349i
$304$	−24.0189	−	2.57191i	−1.37758	−	0.147509i
$305$	−1.86029			−0.106520
$306$	3.41802	+	0.142297i	0.195395	+	0.00813460i
$307$	18.3982	+	7.62077i	1.05004	+	0.434940i	0.839906	−	0.542733i	$-0.182610\pi$
$307$	18.3982	+	7.62077i	1.05004	+	0.434940i	0.210133	+	0.977673i	$0.432610\pi$
$308$	−2.66559	−	0.679745i	−0.151886	−	0.0387321i
$309$	13.8174	+	15.4759i	0.786046	+	0.880395i
$310$	−0.924197	−	1.84582i	−0.0524909	−	0.104835i
$311$	−0.938468	−	0.938468i	−0.0532157	−	0.0532157i	0.679998	−	0.733214i	$-0.261981\pi$
$311$	−0.938468	−	0.938468i	−0.0532157	−	0.0532157i	−0.733214	+	0.679998i	$0.761981\pi$
$312$	3.81061	−	15.9343i	0.215733	−	0.902103i
$313$	11.2850	−	11.2850i	0.637867	−	0.637867i	−0.312162	−	0.950029i	$-0.601053\pi$
$313$	11.2850	−	11.2850i	0.637867	−	0.637867i	0.950029	+	0.312162i	$0.101053\pi$
$314$	−18.5324	−	6.16597i	−1.04584	−	0.347966i
$315$	0.209252	+	0.115899i	0.0117900	+	0.00653020i
$316$	15.8698	−	2.28520i	0.892746	−	0.128552i
$317$	−7.57388	+	18.2850i	−0.425391	+	1.02699i	0.555340	+	0.831623i	$0.312588\pi$
$317$	−7.57388	+	18.2850i	−0.425391	+	1.02699i	−0.980731	+	0.195362i	$0.937412\pi$
$318$	−3.60781	−	8.35455i	−0.202316	−	0.468500i
$319$			32.0062i			1.79200i
$320$	−1.06257	+	1.14275i	−0.0593994	+	0.0638816i
$321$	1.83043	−	0.639555i	0.102164	−	0.0356965i
$322$	−0.294211	−	4.10743i	−0.0163957	−	0.228898i
$323$	4.49881	+	1.86347i	0.250321	+	0.103686i
$324$	17.9377	+	1.49614i	0.996540	+	0.0831191i
$325$	−6.35034	−	15.3311i	−0.352253	−	0.850415i
$326$	−3.52913	+	10.6071i	−0.195460	+	0.587474i
$327$	−1.38227	+	2.86695i	−0.0764395	+	0.158543i
$328$	−5.67417	+	8.83542i	−0.313304	+	0.487854i
$329$	0.115556	−	0.115556i	0.00637082	−	0.00637082i
$330$	1.11962	−	1.15361i	0.0616332	−	0.0635041i
$331$	−4.79305	−	11.5714i	−0.263450	−	0.636024i	0.735698	−	0.677310i	$-0.236855\pi$
$331$	−4.79305	−	11.5714i	−0.263450	−	0.636024i	−0.999147	+	0.0412860i	$0.986855\pi$
$332$	3.19125	−	12.5144i	0.175143	−	0.686815i
$333$	−3.18251	−	11.0848i	−0.174400	−	0.607445i
$334$	−2.16220	+	2.49585i	−0.118310	+	0.136567i
$335$		−	1.91959i		−	0.104879i
$336$	−2.40566	−	1.49462i	−0.131240	−	0.0815381i
$337$		−	7.03034i		−	0.382967i	−0.981496	−	0.191484i	$-0.938670\pi$
$337$		−	7.03034i		−	0.382967i	0.981496	−	0.191484i	$-0.0613299\pi$
$338$	−1.94078	−	1.68133i	−0.105564	−	0.0914523i
$339$	−2.41303	−	0.136620i	−0.131058	−	0.00742018i
$340$	0.270488	−	0.160566i	0.0146693	−	0.00870792i
$341$	−9.63574	−	23.2627i	−0.521804	−	1.25975i
$342$	23.2429	+	10.7811i	1.25683	+	0.582973i
$343$	−3.99847	+	3.99847i	−0.215897	+	0.215897i
$344$	−12.0083	−	17.2834i	−0.647443	−	0.931857i
$345$	2.16770	+	1.04513i	0.116705	+	0.0562679i
$346$	14.2568	+	4.74344i	0.766453	+	0.255009i
$347$	4.70857	+	11.3675i	0.252769	+	0.610240i	0.998426	−	0.0560914i	$-0.0178638\pi$
$347$	4.70857	+	11.3675i	0.252769	+	0.610240i	−0.745656	+	0.666331i	$0.767864\pi$
$348$	−9.93418	+	31.4184i	−0.532528	+	1.68420i
$349$	−29.2204	−	12.1035i	−1.56413	−	0.647885i	−0.578332	−	0.815802i	$-0.696296\pi$
$349$	−29.2204	−	12.1035i	−1.56413	−	0.647885i	−0.985801	+	0.167917i	$0.946296\pi$
$350$	−2.86123	+	0.204947i	−0.152939	+	0.0109549i
$351$	−9.26554	+	14.7012i	−0.494558	+	0.784693i
$352$	−13.9237	+	12.9774i	−0.742137	+	0.691695i
$353$		−	14.9632i		−	0.796411i	−0.917296	−	0.398206i	$-0.869633\pi$
$353$		−	14.9632i		−	0.796411i	0.917296	−	0.398206i	$-0.130367\pi$
$354$	−2.33113	−	5.39815i	−0.123898	−	0.286908i
$355$	−0.302712	+	0.730811i	−0.0160663	+	0.0387874i
$356$	12.3039	+	9.20651i	0.652108	+	0.487944i
$357$	0.380232	+	0.425872i	0.0201240	+	0.0225395i
$358$	7.32815	−	22.0254i	0.387305	−	1.16408i
$359$	−19.5707	+	19.5707i	−1.03290	+	1.03290i	−0.0334594	+	0.999440i	$0.510652\pi$
$359$	−19.5707	+	19.5707i	−1.03290	+	1.03290i	−0.999440	+	0.0334594i	$0.989348\pi$
$360$	1.45712	−	0.784913i	0.0767971	−	0.0413685i
$361$	12.3532	+	12.3532i	0.650170	+	0.650170i
$362$	−6.75320	+	3.38131i	−0.354940	+	0.177718i
$363$	0.415140	−	0.370650i	0.0217892	−	0.0194541i
$364$	2.35115	−	1.39568i	0.123234	−	0.0731537i
$365$	1.77883	+	0.736815i	0.0931082	+	0.0385667i
$366$	−21.7145	−	8.61644i	−1.13504	−	0.450388i
$367$	−21.5484			−1.12482			−0.562410	−	0.826859i	$-0.690126\pi$
$367$	−21.5484			−1.12482			−0.562410	+	0.826859i	$0.690126\pi$
$368$	−25.0131	−	13.6443i	−1.30390	−	0.711259i
$369$	8.71398	−	6.93614i	0.453632	−	0.361081i
$370$	−0.801482	−	0.694338i	−0.0416671	−	0.0360969i
$371$	0.581184	−	1.40310i	0.0301736	−	0.0728455i
$372$	−2.23843	−	25.8263i	−0.116057	−	1.33903i
$373$	−27.1858	+	11.2607i	−1.40763	+	0.583059i	−0.951720	−	0.306967i	$-0.900686\pi$
$373$	−27.1858	+	11.2607i	−1.40763	+	0.583059i	−0.455910	+	0.890026i	$0.650686\pi$
$374$	3.43085	−	1.71782i	0.177405	−	0.0888262i
$375$	1.46165	−	3.03160i	0.0754794	−	0.156551i
$376$	−0.240707	−	1.10481i	−0.0124135	−	0.0569761i
$377$	−22.4944	−	22.4944i	−1.15852	−	1.15852i
$378$	1.90571	+	2.32207i	0.0980192	+	0.119434i
$379$	−11.5245	+	4.77361i	−0.591975	+	0.245204i	−0.658500	−	0.752581i	$-0.728809\pi$
$379$	−11.5245	+	4.77361i	−0.591975	+	0.245204i	0.0665251	+	0.997785i	$0.478809\pi$
$380$	2.33182	−	0.335774i	0.119620	−	0.0172249i
$381$	0.672929	−	11.8855i	0.0344752	−	0.608914i
$382$	−16.4271	+	1.17665i	−0.840484	+	0.0602029i
$383$	−33.6911			−1.72154			−0.860768	−	0.508998i	$-0.830016\pi$
$383$	−33.6911			−1.72154			−0.860768	+	0.508998i	$0.830016\pi$
$384$	−17.6960	+	8.41735i	−0.903045	+	0.429546i
$385$	0.268286			0.0136731
$386$	8.50902	−	0.609492i	0.433098	−	0.0310223i
$387$	6.15994	+	21.4554i	0.313127	+	1.09064i
$388$	5.17478	−	0.745151i	0.262710	−	0.0378293i
$389$	−34.0564	+	14.1066i	−1.72673	+	0.715233i	−0.727139	+	0.686490i	$0.759151\pi$
$389$	−34.0564	+	14.1066i	−1.72673	+	0.715233i	−0.999587	+	0.0287433i	$0.990849\pi$
$390$	0.0238862	+	1.59766i	0.00120952	+	0.0809008i
$391$	4.06135	+	4.06135i	0.205391	+	0.205391i
$392$	4.11417	+	18.8834i	0.207797	+	0.953754i
$393$	−27.1178	−	13.0745i	−1.36791	−	0.659521i
$394$	0.795838	−	0.398474i	0.0400937	−	0.0200749i
$395$	−1.44466	+	0.598399i	−0.0726889	+	0.0301087i
$396$	18.4123	−	8.27986i	0.925251	−	0.416078i
$397$	11.3891	−	27.4958i	0.571604	−	1.37997i	−0.328586	−	0.944474i	$-0.606572\pi$
$397$	11.3891	−	27.4958i	0.571604	−	1.37997i	0.900189	−	0.435499i	$-0.143428\pi$
$398$	20.5690	+	17.8193i	1.03103	+	0.893202i
$399$	1.41039	+	4.03657i	0.0706077	+	0.202081i
$400$	−9.50460	+	17.4241i	−0.475230	+	0.871204i
$401$	9.31753			0.465295			0.232648	−	0.972561i	$-0.425261\pi$
$401$	9.31753			0.465295			0.232648	+	0.972561i	$0.425261\pi$
$402$	8.89114	−	22.4068i	0.443450	−	1.11755i
$403$	23.1215	+	9.57726i	1.15177	+	0.477077i
$404$	22.6025	−	13.4172i	1.12452	−	0.667532i
$405$	−1.73121	+	0.290888i	−0.0860246	+	0.0144543i
$406$	−4.91723	+	2.46205i	−0.244038	+	0.122189i
$407$	−9.14621	−	9.14621i	−0.453361	−	0.453361i
$408$	3.90102	−	0.621395i	0.193130	−	0.0307636i
$409$	17.7916	−	17.7916i	0.879736	−	0.879736i	−0.113771	−	0.993507i	$-0.536293\pi$
$409$	17.7916	−	17.7916i	0.879736	−	0.879736i	0.993507	+	0.113771i	$0.0362930\pi$
$410$	0.323300	−	0.971708i	0.0159667	−	0.0479892i
$411$	−19.6948	+	17.5842i	−0.971473	+	0.867363i
$412$	19.1810	+	14.3523i	0.944981	+	0.707089i
$413$	0.375523	−	0.906592i	0.0184783	−	0.0446105i
$414$	20.4620	+	22.2398i	1.00565	+	1.09302i
$415$			1.25954i			0.0618285i
$416$	0.665128	−	18.9065i	0.0326106	−	0.926967i
$417$	−2.10774	−	6.03242i	−0.103217	−	0.295409i
$418$	28.6629	−	2.05309i	1.40195	−	0.100420i
$419$	9.75715	+	4.04154i	0.476668	+	0.197442i	0.608065	−	0.793888i	$-0.291946\pi$
$419$	9.75715	+	4.04154i	0.476668	+	0.197442i	−0.131397	+	0.991330i	$0.541946\pi$
$420$	0.263359	+	0.0832714i	0.0128506	+	0.00406323i
$421$	1.73340	+	4.18479i	0.0844806	+	0.203954i	0.960474	−	0.278368i	$-0.0897935\pi$
$421$	1.73340	+	4.18479i	0.0844806	+	0.203954i	−0.875994	+	0.482322i	$0.839793\pi$
$422$	10.0829	+	3.35470i	0.490826	+	0.163304i
$423$	−0.135371	+	1.19165i	−0.00658195	+	0.0579401i
$424$	−5.99576	−	8.62963i	−0.291180	−	0.419092i
$425$	2.82912	−	2.82912i	0.137233	−	0.137233i
$426$	−6.91842	+	7.12843i	−0.335198	+	0.345373i
$427$	−1.49198	−	3.60195i	−0.0722018	−	0.174311i
$428$	1.92524	−	1.14285i	0.0930599	−	0.0552419i
$429$	−1.10172	+	19.4589i	−0.0531913	+	0.939485i
$430$	1.55132	+	1.34393i	0.0748112	+	0.0648103i
$431$		−	24.2865i		−	1.16984i	−0.811092	−	0.584919i	$-0.801126\pi$
$431$		−	24.2865i		−	1.16984i	0.811092	−	0.584919i	$-0.198874\pi$
$432$	20.6441	−	2.41295i	0.993238	−	0.116093i
$433$			21.4987i			1.03316i	0.856239	+	0.516580i	$0.172795\pi$
$433$			21.4987i			1.03316i	−0.856239	+	0.516580i	$0.827205\pi$
$434$	2.83272	−	3.26984i	0.135975	−	0.156957i
$435$	0.181658	−	3.20852i	0.00870985	−	0.153837i
$436$	−0.908128	+	3.56119i	−0.0434915	+	0.170550i
$437$	16.4619	+	39.7424i	0.787478	+	1.90114i
$438$	17.3509	+	16.8398i	0.829060	+	0.804635i
$439$	−1.71247	+	1.71247i	−0.0817316	+	0.0817316i	−0.746791	−	0.665059i	$-0.768406\pi$
$439$	−1.71247	+	1.71247i	−0.0817316	+	0.0817316i	0.665059	+	0.746791i	$0.268406\pi$
$440$	1.00309	−	1.56194i	0.0478203	−	0.0744623i
$441$	2.31375	−	20.3677i	0.110179	−	0.969890i
$442$	−1.20394	+	3.61856i	−0.0572657	+	0.172117i
$443$	1.69988	+	4.10388i	0.0807639	+	0.194981i	0.959103	−	0.283056i	$-0.0913483\pi$
$443$	1.69988	+	4.10388i	0.0807639	+	0.194981i	−0.878339	+	0.478037i	$0.841348\pi$
$444$	−6.13942	−	11.8171i	−0.291364	−	0.560814i
$445$	−1.38462	−	0.573527i	−0.0656371	−	0.0271878i
$446$	−0.651889	−	9.10093i	−0.0308679	−	0.430942i
$447$	−9.70278	−	27.7697i	−0.458926	−	1.31346i
$448$	−3.06483	−	1.14088i	−0.144800	−	0.0539016i
$449$			6.34782i			0.299572i	0.988718	+	0.149786i	$0.0478585\pi$
$449$			6.34782i			0.299572i	−0.988718	+	0.149786i	$0.952142\pi$
$450$	15.4922	−	14.2538i	0.730308	−	0.671930i
$451$	4.78028	−	11.5406i	0.225095	−	0.543427i
$452$	−2.76230	+	0.397762i	−0.129928	+	0.0187091i
$453$	−2.74382	+	2.44977i	−0.128916	+	0.115100i
$454$	4.59855	+	1.53000i	0.215821	+	0.0718064i
$455$	−0.188555	+	0.188555i	−0.00883961	+	0.00883961i
$456$	28.7738	+	6.88110i	1.34746	+	0.322237i
$457$	10.0211	+	10.0211i	0.468765	+	0.468765i	0.901514	−	0.432749i	$-0.142456\pi$
$457$	10.0211	+	10.0211i	0.468765	+	0.468765i	−0.432749	+	0.901514i	$0.642456\pi$
$458$	−14.2906	−	28.5413i	−0.667754	−	1.33365i
$459$	−4.12966	−	0.707488i	−0.192756	−	0.0330227i
$460$	2.69261	+	0.686634i	0.125544	+	0.0320145i
$461$	−19.1656	−	7.93865i	−0.892631	−	0.369740i	−0.111249	−	0.993793i	$-0.535485\pi$
$461$	−19.1656	−	7.93865i	−0.892631	−	0.369740i	−0.781382	+	0.624053i	$0.785485\pi$
$462$	3.13161	+	1.24264i	0.145696	+	0.0578129i
$463$	30.9634			1.43899			0.719496	−	0.694496i	$-0.244373\pi$
$463$	30.9634			1.43899			0.719496	+	0.694496i	$0.244373\pi$
$464$	−4.05109	+	37.8329i	−0.188067	+	1.75635i
$465$	0.833919	+	2.38670i	0.0386721	+	0.110681i
$466$	−20.3274	+	23.4642i	−0.941649	+	1.08696i
$467$	2.87599	−	6.94326i	0.133085	−	0.321296i	−0.843263	−	0.537502i	$-0.819368\pi$
$467$	2.87599	−	6.94326i	0.133085	−	0.321296i	0.976348	+	0.216206i	$0.0693682\pi$
$468$	−7.12121	+	18.7596i	−0.329178	+	0.867164i
$469$	3.71679	−	1.53954i	0.171625	−	0.0710895i
$470$	0.0493719	+	0.0986062i	0.00227736	+	0.00454837i
$471$	21.5471	+	10.3887i	0.992839	+	0.478685i
$472$	−3.87406	−	5.57589i	−0.178318	−	0.256651i
$473$	17.7030	+	17.7030i	0.813987	+	0.813987i
$474$	−19.6347	+	0.293553i	−0.901853	+	0.0134834i
$475$	27.6845	−	11.4673i	1.27025	−	0.526155i
$476$	0.527829	+	0.394952i	0.0241930	+	0.0181026i
$477$	3.07567	+	10.7127i	0.140825	+	0.490502i
$478$	−2.25657	−	31.5036i	−0.103213	−	1.44094i
$479$	−12.3852			−0.565894			−0.282947	−	0.959136i	$-0.591312\pi$
$479$	−12.3852			−0.565894			−0.282947	+	0.959136i	$0.591312\pi$
$480$	1.46947	−	1.22191i	0.0670716	−	0.0557723i
$481$	12.8562			0.586192
$482$	−1.01388	−	14.1547i	−0.0461812	−	0.644729i
$483$	−0.285091	+	5.03538i	−0.0129721	+	0.229118i
$484$	0.384999	−	0.514528i	0.0175000	−	0.0233876i
$485$	−0.471072	+	0.195124i	−0.0213903	+	0.00886014i
$486$	−21.5552	−	4.62316i	−0.977764	−	0.209711i
$487$	−8.82766	−	8.82766i	−0.400019	−	0.400019i	0.478220	−	0.878240i	$-0.341282\pi$
$487$	−8.82766	−	8.82766i	−0.400019	−	0.400019i	−0.878240	+	0.478220i	$0.841282\pi$
$488$	−26.5485	−	4.78109i	−1.20180	−	0.216430i
$489$	5.94602	−	12.3326i	0.268889	−	0.557700i
$490$	−0.843864	−	1.68538i	−0.0381219	−	0.0761375i
$491$	−9.13225	+	3.78270i	−0.412133	+	0.170711i	−0.579109	−	0.815250i	$-0.696600\pi$
$491$	−9.13225	+	3.78270i	−0.412133	+	0.170711i	0.166977	+	0.985961i	$0.446600\pi$
$492$	8.27452	−	9.84498i	0.373044	−	0.443846i
$493$	2.93521	−	7.08623i	0.132195	−	0.319148i
$494$	−18.7018	+	21.5877i	−0.841434	+	0.971276i
$495$	−1.54047	+	1.22618i	−0.0692389	+	0.0551126i
$496$	−8.44551	−	28.7173i	−0.379215	−	1.28945i
$497$	−1.65780			−0.0743626
$498$	−5.83393	+	14.7022i	−0.261425	+	0.658823i
$499$	−4.86758	−	2.01622i	−0.217903	−	0.0902583i	0.271062	−	0.962562i	$-0.412625\pi$
$499$	−4.86758	−	2.01622i	−0.217903	−	0.0902583i	−0.488965	+	0.872304i	$0.662625\pi$
$500$	0.960283	−	3.76571i	0.0429452	−	0.168408i
$501$	3.01685	−	2.69354i	0.134783	−	0.120339i
$502$	2.03637	+	4.06705i	0.0908875	+	0.181522i
$503$	−0.926311	−	0.926311i	−0.0413022	−	0.0413022i	0.686154	−	0.727456i	$-0.259298\pi$
$503$	−0.926311	−	0.926311i	−0.0413022	−	0.0413022i	−0.727456	+	0.686154i	$0.759298\pi$
$504$	2.68841	+	2.19182i	0.119751	+	0.0976315i
$505$	−1.81265	+	1.81265i	−0.0806620	+	0.0806620i
$506$	32.1615	+	10.7006i	1.42975	+	0.475698i
$507$	2.09450	+	2.34591i	0.0930201	+	0.104185i
$508$	−1.95920	−	13.6059i	−0.0869253	−	0.603662i
$509$	1.79808	−	4.34096i	0.0796987	−	0.192410i	−0.879008	−	0.476808i	$-0.841794\pi$
$509$	1.79808	−	4.34096i	0.0796987	−	0.192410i	0.958706	+	0.284398i	$0.0917938\pi$
$510$	−0.353681	+	0.152733i	−0.0156613	+	0.00676314i
$511$			4.03517i			0.178505i
$512$	−18.1011	+	13.5775i	−0.799964	+	0.600048i
$513$	−26.5471	−	16.7315i	−1.17208	−	0.738714i
$514$	2.30211	+	32.1394i	0.101542	+	1.41761i
$515$	−2.15853	−	0.894090i	−0.0951160	−	0.0393983i
$516$	11.8832	+	22.8727i	0.523130	+	1.00691i
$517$	0.514755	+	1.24273i	0.0226389	+	0.0546551i
$518$	0.701602	−	2.10873i	0.0308266	−	0.0926522i
$519$	−16.5761	−	7.99195i	−0.727608	−	0.350807i
$520$	0.392767	+	1.80274i	0.0172240	+	0.0790552i
$521$	−12.3969	+	12.3969i	−0.543120	+	0.543120i	−0.924442	−	0.381322i	$-0.875469\pi$
$521$	−12.3969	+	12.3969i	−0.543120	+	0.543120i	0.381322	+	0.924442i	$0.375469\pi$
$522$	16.9816	−	36.6106i	0.743264	−	1.60240i
$523$	−5.71533	−	13.7980i	−0.249914	−	0.603346i	0.748282	−	0.663380i	$-0.230879\pi$
$523$	−5.71533	−	13.7980i	−0.249914	−	0.603346i	−0.998196	+	0.0600346i	$0.980879\pi$
$524$	−33.6844	−	8.58975i	−1.47151	−	0.375245i
$525$	3.50764	+	0.198594i	0.153086	+	0.00866734i
$526$	−16.8347	+	19.4325i	−0.734030	+	0.847299i
$527$			6.03408i			0.262849i
$528$	18.9433	−	13.5859i	0.824399	−	0.591250i
$529$			27.7390i			1.20604i
$530$	0.774577	+	0.671030i	0.0336455	+	0.0291477i
$531$	1.98730	+	6.92184i	0.0862413	+	0.300382i
$532$	2.52029	+	4.24566i	0.109269	+	0.184073i
$533$	4.75127	+	11.4706i	0.205800	+	0.496846i
$534$	−13.5057	−	13.1078i	−0.584450	−	0.567232i
$535$	−0.154398	+	0.154398i	−0.00667521	+	0.00667521i
$536$	4.93352	−	27.3949i	0.213096	−	1.18328i
$537$	−12.3468	+	25.6084i	−0.532802	+	1.10508i
$538$	−17.1015	−	5.68989i	−0.737297	−	0.245308i
$539$	−8.79818	−	21.2407i	−0.378964	−	0.914901i
$540$	−1.89276	+	0.725526i	−0.0814516	+	0.0312217i
$541$	16.5235	+	6.84424i	0.710399	+	0.294257i	0.708470	−	0.705741i	$-0.249386\pi$
$541$	16.5235	+	6.84424i	0.710399	+	0.294257i	0.00192927	+	0.999998i	$0.499386\pi$
$542$	16.4514	−	1.17839i	0.706646	−	0.0506163i
$543$	8.73211	−	3.05102i	0.374731	−	0.130932i
$544$	4.27286	−	1.59630i	0.183197	−	0.0684407i
$545$		−	0.358426i		−	0.0153533i
$546$	−3.07429	+	1.32760i	−0.131568	+	0.0568160i
$547$	2.24912	−	5.42985i	0.0961654	−	0.232164i	−0.868475	−	0.495733i	$-0.834900\pi$
$547$	2.24912	−	5.42985i	0.0961654	−	0.232164i	0.964641	+	0.263569i	$0.0848996\pi$
$548$	−18.2649	+	24.4099i	−0.780238	+	1.04274i
$549$	25.0292	+	13.8630i	1.06822	+	0.591660i
$550$	7.45398	−	22.4036i	0.317839	−	0.955293i
$551$	40.6199	−	40.6199i	1.73047	−	1.73047i
$552$	28.2496	+	20.4864i	1.20238	+	0.871961i
$553$	−2.31728	−	2.31728i	−0.0985409	−	0.0985409i
$554$	−11.6194	+	5.81779i	−0.493659	+	0.247174i
$555$	0.864967	+	0.968789i	0.0367158	+	0.0411228i
$556$	−3.76643	−	6.34489i	−0.159732	−	0.269083i
$557$	17.5896	+	7.28584i	0.745294	+	0.308711i	0.722820	−	0.691036i	$-0.242846\pi$
$557$	17.5896	+	7.28584i	0.745294	+	0.308711i	0.0224743	+	0.999747i	$0.492846\pi$
$558$	−1.32063	+	31.7217i	−0.0559066	+	1.34289i
$559$	−24.8839			−1.05248
$560$	0.317127	+	0.0339575i	0.0134011	+	0.00143497i
$561$	−4.43620	+	1.55002i	−0.187296	+	0.0654417i
$562$	−33.7250	−	29.2165i	−1.42260	−	1.23243i
$563$	7.04761	−	17.0144i	0.297021	−	0.717073i	−0.702962	−	0.711228i	$-0.748139\pi$
$563$	7.04761	−	17.0144i	0.297021	−	0.717073i	0.999983	−	0.00584493i	$-0.00186051\pi$
$564$	0.119580	+	1.37968i	0.00503523	+	0.0580949i
$565$	0.251458	−	0.104157i	0.0105789	−	0.00438194i
$566$	13.6218	−	6.82042i	0.572568	−	0.286684i
$567$	−1.95168	−	3.11874i	−0.0819630	−	0.130975i
$568$	−6.19832	+	9.65157i	−0.260076	+	0.404971i
$569$	−15.9856	−	15.9856i	−0.670152	−	0.670152i	0.287599	−	0.957751i	$-0.407143\pi$
$569$	−15.9856	−	15.9856i	−0.670152	−	0.670152i	−0.957751	+	0.287599i	$0.907143\pi$
$570$	−2.88502	+	0.0431331i	−0.120840	+	0.00180665i
$571$	−21.2300	+	8.79375i	−0.888447	+	0.368007i	−0.779767	−	0.626070i	$-0.784663\pi$
$571$	−21.2300	+	8.79375i	−0.888447	+	0.368007i	−0.108680	+	0.994077i	$0.534663\pi$
$572$	3.20759	+	22.2754i	0.134116	+	0.931383i
$573$	20.1383	+	1.14018i	0.841290	+	0.0476317i
$574$	2.14075	−	0.153339i	0.0893531	−	0.00640026i
$575$	35.3446			1.47397
$576$	22.8122	−	7.45673i	0.950509	−	0.310697i
$577$	21.1703			0.881332			0.440666	−	0.897671i	$-0.354742\pi$
$577$	21.1703			0.881332			0.440666	+	0.897671i	$0.354742\pi$
$578$	23.0631	−	1.65198i	0.959297	−	0.0687133i
$579$	−10.4314	−	0.590599i	−0.433513	−	0.0245444i
$580$	−0.528889	−	3.67293i	−0.0219609	−	0.152510i
$581$	−2.43877	+	1.01017i	−0.101177	+	0.0419090i
$582$	−6.40244	+	0.0957211i	−0.265390	+	0.00396777i
$583$	8.83917	+	8.83917i	0.366081	+	0.366081i
$584$	23.4924	+	15.0870i	0.972122	+	0.624304i
$585$	0.220887	−	1.94444i	0.00913255	−	0.0803927i
$586$	−31.7697	+	15.9070i	−1.31239	+	0.657113i
$587$	14.4081	−	5.96803i	0.594686	−	0.246327i	−0.0649791	−	0.997887i	$-0.520698\pi$
$587$	14.4081	−	5.96803i	0.594686	−	0.246327i	0.659665	+	0.751560i	$0.270698\pi$
$588$	−2.04386	−	23.5814i	−0.0842873	−	0.972482i
$589$	−17.2944	+	41.7523i	−0.712603	+	1.72037i
$590$	0.500480	+	0.433575i	0.0206044	+	0.0178500i
$591$	−1.02905	+	0.359550i	−0.0423293	+	0.0147899i
$592$	−9.65362	−	11.9689i	−0.396761	−	0.491920i
$593$	20.5777			0.845025			0.422512	−	0.906357i	$-0.361148\pi$
$593$	20.5777			0.845025			0.422512	+	0.906357i	$0.361148\pi$
$594$	−23.6608	+	7.17768i	−0.970813	+	0.294504i
$595$	−0.0593989	−	0.0246038i	−0.00243512	−	0.00100866i
$596$	−17.3384	−	29.2081i	−0.710208	−	1.19641i
$597$	−22.1983	−	24.8628i	−0.908516	−	1.01757i
$598$	−30.1241	+	15.0831i	−1.23187	+	0.616793i
$599$	14.6016	+	14.6016i	0.596604	+	0.596604i	0.939407	−	0.342803i	$-0.111376\pi$
$599$	14.6016	+	14.6016i	0.596604	+	0.596604i	−0.342803	+	0.939407i	$0.611376\pi$
$600$	14.2708	−	19.6786i	0.582603	−	0.803376i
$601$	−22.7394	+	22.7394i	−0.927561	+	0.927561i	−0.997548	−	0.0699869i	$-0.977704\pi$
$601$	−22.7394	+	22.7394i	−0.927561	+	0.927561i	0.0699869	+	0.997548i	$0.477704\pi$
$602$	−1.35799	+	4.08157i	−0.0553477	+	0.166353i
$603$	−14.3050	+	25.8272i	−0.582545	+	1.05176i
$604$	−2.54461	+	3.40072i	−0.103539	+	0.138373i
$605$	−0.0239839	+	0.0579021i	−0.000975082	+	0.00235406i
$606$	−29.5543	+	12.7627i	−1.20056	+	0.518449i
$607$		−	40.2640i		−	1.63426i	−0.576451	−	0.817132i	$-0.695563\pi$
$607$		−	40.2640i		−	1.63426i	0.576451	−	0.817132i	$-0.304437\pi$
$608$	34.1409	+	1.20107i	1.38460	+	0.0487099i
$609$	6.35814	−	2.22155i	0.257645	−	0.0900216i
$610$	2.62412	−	0.187963i	0.106247	−	0.00761038i
$611$	−1.23519	−	0.511631i	−0.0499703	−	0.0206984i
$612$	−4.83583	+	0.144631i	−0.195477	+	0.00584635i
$613$	−6.76173	−	16.3243i	−0.273104	−	0.659331i	0.726509	−	0.687157i	$-0.241142\pi$
$613$	−6.76173	−	16.3243i	−0.273104	−	0.659331i	−0.999613	+	0.0278260i	$0.991142\pi$
$614$	−26.7224	−	8.89091i	−1.07843	−	0.358808i
$615$	−0.544710	+	1.12978i	−0.0219648	+	0.0455571i
$616$	3.82876	+	0.689517i	0.154265	+	0.0277814i
$617$	5.19834	−	5.19834i	0.209277	−	0.209277i	−0.594683	−	0.803960i	$-0.702722\pi$
$617$	5.19834	−	5.19834i	0.209277	−	0.209277i	0.803960	+	0.594683i	$0.202722\pi$
$618$	−21.0545	−	20.4342i	−0.846938	−	0.821986i
$619$	8.07299	+	19.4899i	0.324481	+	0.783366i	0.998983	+	0.0450932i	$0.0143585\pi$
$619$	8.07299	+	19.4899i	0.324481	+	0.783366i	−0.674502	+	0.738273i	$0.735642\pi$
$620$	1.49017	+	2.51033i	0.0598468	+	0.100817i
$621$	−21.3769	−	30.2156i	−0.857824	−	1.21251i
$622$	1.41863	+	1.22898i	0.0568817	+	0.0492776i
$623$		−	3.14092i		−	0.125838i
$624$	−3.76524	+	22.8620i	−0.150730	+	0.915211i
$625$		−	24.4308i		−	0.977230i
$626$	−14.7784	+	17.0589i	−0.590664	+	0.681810i
$627$	−35.1384	−	1.98945i	−1.40329	−	0.0794510i
$628$	26.7648	+	6.82521i	1.06803	+	0.272356i
$629$	1.18621	+	2.86376i	0.0472973	+	0.114186i
$630$	−0.306881	−	0.142345i	−0.0122264	−	0.00567116i
$631$	−22.5327	+	22.5327i	−0.897012	+	0.897012i	−0.995171	−	0.0981592i	$-0.968705\pi$
$631$	−22.5327	+	22.5327i	−0.897012	+	0.897012i	0.0981592	+	0.995171i	$0.468705\pi$
$632$	−22.1550	+	4.82698i	−0.881280	+	0.192007i
$633$	−11.7231	−	5.65214i	−0.465950	−	0.224652i
$634$	8.83620	−	26.5580i	0.350930	−	1.05475i
$635$	0.513033	+	1.23857i	0.0203591	+	0.0491512i
$636$	5.93332	+	11.4204i	0.235272	+	0.452848i
$637$	21.1118	+	8.74478i	0.836479	+	0.346481i
$638$	−3.23389	−	45.1479i	−0.128031	−	1.78742i
$639$	9.51892	−	7.57685i	0.376563	−	0.299736i
$640$	1.38340	−	1.71932i	0.0546836	−	0.0679622i
$641$			41.6012i			1.64315i	0.570100	+	0.821575i	$0.306904\pi$
$641$			41.6012i			1.64315i	−0.570100	+	0.821575i	$0.693096\pi$
$642$	−2.51738	+	1.08710i	−0.0993530	+	0.0429045i
$643$	7.11746	−	17.1831i	0.280685	−	0.677634i	−0.719167	−	0.694837i	$-0.755476\pi$
$643$	7.11746	−	17.1831i	0.280685	−	0.677634i	0.999852	+	0.0172036i	$0.00547635\pi$
$644$	0.830027	+	5.76422i	0.0327077	+	0.227142i
$645$	−1.67420	−	1.87515i	−0.0659214	−	0.0738340i
$646$	−6.53431	−	2.17405i	−0.257089	−	0.0855369i
$647$	−31.4452	+	31.4452i	−1.23624	+	1.23624i	−0.274714	+	0.961526i	$0.588583\pi$
$647$	−31.4452	+	31.4452i	−1.23624	+	1.23624i	−0.961526	+	0.274714i	$0.911417\pi$
$648$	−25.4541	−	0.298039i	−0.999931	−	0.0117081i
$649$	5.71128	+	5.71128i	0.224187	+	0.224187i
$650$	10.5068	+	20.9844i	0.412112	+	0.823075i
$651$	−3.95240	+	3.52884i	−0.154907	+	0.138306i
$652$	3.90645	−	15.3190i	0.152988	−	0.599938i
$653$	5.38622	+	2.23104i	0.210779	+	0.0873075i	0.485575	−	0.874195i	$-0.338610\pi$
$653$	5.38622	+	2.23104i	0.210779	+	0.0873075i	−0.274796	+	0.961503i	$0.588610\pi$
$654$	1.66015	−	4.18378i	0.0649170	−	0.163599i
$655$	3.39025			0.132468
$656$	7.11126	−	13.0366i	0.277648	−	0.508992i
$657$	−18.4424	−	23.1695i	−0.719507	−	0.903928i
$658$	−0.151328	+	0.174679i	−0.00589937	+	0.00680971i
$659$	7.05977	−	17.0438i	0.275010	−	0.663932i	−0.724674	−	0.689092i	$-0.758010\pi$
$659$	7.05977	−	17.0438i	0.275010	−	0.663932i	0.999683	+	0.0251602i	$0.00800958\pi$
$660$	−1.46278	+	1.74041i	−0.0569386	+	0.0677452i
$661$	25.7857	−	10.6808i	1.00295	−	0.415435i	0.180071	−	0.983654i	$-0.442367\pi$
$661$	25.7857	−	10.6808i	1.00295	−	0.415435i	0.822878	+	0.568219i	$0.192367\pi$
$662$	7.93025	+	15.8384i	0.308218	+	0.615576i
$663$	2.02845	−	4.20720i	0.0787786	−	0.163394i
$664$	−3.23713	+	17.9752i	−0.125625	+	0.697574i
$665$	−0.340489	−	0.340489i	−0.0132036	−	0.0132036i
$666$	5.60925	+	15.3147i	0.217354	+	0.593433i
$667$	62.5996	−	25.9296i	2.42387	−	1.00400i
$668$	2.79782	−	3.73911i	0.108251	−	0.144671i
$669$	−0.631682	+	11.1570i	−0.0244222	+	0.431355i
$670$	0.193955	+	2.70778i	0.00749314	+	0.104611i
$671$	32.0904			1.23883
$672$	3.54444	+	1.86524i	0.136730	+	0.0719532i
$673$	18.5829			0.716319			0.358160	−	0.933660i	$-0.383404\pi$
$673$	18.5829			0.716319			0.358160	+	0.933660i	$0.383404\pi$
$674$	0.710343	+	9.91700i	0.0273614	+	0.381989i
$675$	−21.0481	+	14.8911i	−0.810142	+	0.573157i
$676$	2.90754	+	2.17559i	0.111828	+	0.0836764i
$677$	22.9138	−	9.49122i	0.880650	−	0.364777i	0.103901	−	0.994588i	$-0.466867\pi$
$677$	22.9138	−	9.49122i	0.880650	−	0.364777i	0.776749	+	0.629810i	$0.216867\pi$
$678$	3.41763	−	0.0510960i	0.131253	−	0.00196233i
$679$	−0.755613	−	0.755613i	−0.0289978	−	0.0289978i
$680$	−0.365327	+	0.253824i	−0.0140096	+	0.00973372i
$681$	−5.34661	−	2.57781i	−0.204883	−	0.0987817i
$682$	15.9426	+	31.8408i	0.610475	+	1.21925i
$683$	−34.5480	+	14.3103i	−1.32194	+	0.547567i	−0.928346	−	0.371717i	$-0.878769\pi$
$683$	−34.5480	+	14.3103i	−1.32194	+	0.547567i	−0.393597	+	0.919283i	$0.628769\pi$
$684$	−33.8757	−	12.8593i	−1.29527	−	0.491688i
$685$	1.13783	−	2.74696i	0.0434741	−	0.104956i
$686$	5.23624	−	6.04425i	0.199921	−	0.230770i
$687$	12.8946	+	36.9048i	0.491960	+	1.40801i
$688$	18.6852	+	23.1666i	0.712366	+	0.883219i
$689$	−12.4246			−0.473340
$690$	−3.16335	−	1.25524i	−0.120427	−	0.0477860i
$691$	−29.9717	−	12.4147i	−1.14018	−	0.472277i	−0.268948	−	0.963155i	$-0.586676\pi$
$691$	−29.9717	−	12.4147i	−1.14018	−	0.472277i	−0.871228	+	0.490878i	$0.836676\pi$
$692$	−20.5900	−	5.25059i	−0.782713	−	0.199597i
$693$	−3.60965	−	1.99929i	−0.137119	−	0.0759469i
$694$	−7.79048	−	15.5592i	−0.295723	−	0.590621i
$695$	0.508841	+	0.508841i	0.0193014	+	0.0193014i
$696$	10.8386	−	45.3226i	0.410838	−	1.71795i
$697$	−2.11673	+	2.11673i	−0.0801767	+	0.0801767i
$698$	42.4412	+	14.1208i	1.60642	+	0.534479i
$699$	28.3622	−	25.3227i	1.07276	−	0.957793i
$700$	4.01534	−	0.578195i	0.151766	−	0.0218537i
$701$	6.56454	−	15.8482i	0.247939	−	0.598578i	−0.750090	−	0.661336i	$-0.769990\pi$
$701$	6.56454	−	15.8482i	0.247939	−	0.598578i	0.998029	+	0.0627582i	$0.0199897\pi$
$702$	11.5846	−	21.6737i	0.437231	−	0.818022i
$703$			23.2154i			0.875585i
$704$	18.3296	−	19.7127i	0.690822	−	0.742950i
$705$	−0.0445491	−	0.127501i	−0.00167782	−	0.00480197i
$706$	1.51188	+	21.1071i	0.0569003	+	0.794376i
$707$	−4.96350	−	2.05595i	−0.186672	−	0.0773219i
$708$	3.83372	+	7.37909i	0.144080	+	0.277323i
$709$	−11.6861	−	28.2128i	−0.438882	−	1.05955i	−0.976336	−	0.216261i	$-0.930614\pi$
$709$	−11.6861	−	28.2128i	−0.438882	−	1.05955i	0.537454	−	0.843293i	$-0.319386\pi$
$710$	0.353164	−	1.06147i	0.0132540	−	0.0398362i
$711$	23.8965	+	2.71463i	0.896190	+	0.101806i
$712$	−18.2862	−	11.7435i	−0.685303	−	0.440107i
$713$	−37.6923	+	37.6923i	−1.41159	+	1.41159i
$714$	−0.579385	−	0.562316i	−0.0216829	−	0.0210441i
$715$	−0.839935	−	2.02778i	−0.0314118	−	0.0758348i
$716$	−8.11164	+	31.8095i	−0.303146	+	1.18878i
$717$	−2.18662	+	38.6208i	−0.0816607	+	1.44232i
$718$	25.6289	−	29.5838i	0.956463	−	1.10406i
$719$		−	32.6392i		−	1.21724i	−0.793463	−	0.608619i	$-0.791724\pi$
$719$		−	32.6392i		−	1.21724i	0.793463	−	0.608619i	$-0.208276\pi$
$720$	−1.97611	+	1.25442i	−0.0736453	+	0.0467496i
$721$		−	4.89649i		−	0.182355i
$722$	−18.6736	−	16.1773i	−0.694960	−	0.602056i
$723$	−0.982456	+	17.3525i	−0.0365379	+	0.645347i
$724$	9.18441	−	5.45202i	0.341336	−	0.202623i
$725$	−18.0625	−	43.6067i	−0.670825	−	1.61951i
$726$	−0.548146	+	0.564785i	−0.0203436	+	0.0209611i
$727$	−11.8938	+	11.8938i	−0.441118	+	0.441118i	−0.892388	−	0.451270i	$-0.850971\pi$
$727$	−11.8938	+	11.8938i	−0.441118	+	0.441118i	0.451270	+	0.892388i	$0.350971\pi$
$728$	−3.17552	+	2.20631i	−0.117693	+	0.0817713i
$729$	25.4603	+	8.98742i	0.942974	+	0.332867i
$730$	−2.58366	−	0.859619i	−0.0956257	−	0.0318159i
$731$	−2.29598	−	5.54299i	−0.0849199	−	0.205015i
$732$	31.5011	+	9.96031i	1.16431	+	0.368144i
$733$	−14.2498	−	5.90246i	−0.526328	−	0.218012i	0.103666	−	0.994612i	$-0.466943\pi$
$733$	−14.2498	−	5.90246i	−0.526328	−	0.218012i	−0.629994	+	0.776600i	$0.716943\pi$
$734$	30.3962	−	2.17725i	1.12195	−	0.0803637i
$735$	0.761433	+	2.17925i	0.0280859	+	0.0803827i
$736$	36.6621	+	16.7193i	1.35138	+	0.616283i
$737$			33.1135i			1.21975i
$738$	−11.5911	+	10.6646i	−0.426675	+	0.392568i
$739$	−1.65560	+	3.99698i	−0.0609024	+	0.147031i	−0.951401	−	0.307954i	$-0.900356\pi$
$739$	−1.65560	+	3.99698i	−0.0609024	+	0.147031i	0.890499	+	0.454986i	$0.150356\pi$
$740$	1.20073	+	0.898452i	0.0441396	+	0.0330278i
$741$	26.0940	−	23.2976i	0.958589	−	0.855859i
$742$	−0.678049	+	2.03794i	−0.0248920	+	0.0748151i
$743$	−15.0005	+	15.0005i	−0.550313	+	0.550313i	−0.926531	−	0.376218i	$-0.877224\pi$
$743$	−15.0005	+	15.0005i	−0.550313	+	0.550313i	0.376218	+	0.926531i	$0.377224\pi$
$744$	5.76701	+	36.2044i	0.211429	+	1.32732i
$745$	2.34240	+	2.34240i	0.0858188	+	0.0858188i
$746$	37.2106	−	18.6313i	1.36238	−	0.682139i
$747$	9.38625	−	16.9465i	0.343425	−	0.620040i
$748$	−4.66598	+	2.76980i	−0.170605	+	0.101274i
$749$	−0.422781	−	0.175122i	−0.0154481	−	0.00639880i
$750$	−1.75549	+	4.42406i	−0.0641015	+	0.161544i
$751$	10.9267			0.398720			0.199360	−	0.979926i	$-0.436114\pi$
$751$	10.9267			0.398720			0.199360	+	0.979926i	$0.436114\pi$
$752$	0.451171	+	1.53412i	0.0164525	+	0.0559436i
$753$	−1.83745	−	5.25884i	−0.0669603	−	0.191643i
$754$	34.0035	+	29.4578i	1.23833	+	1.07279i
$755$	0.158519	−	0.382698i	0.00576908	−	0.0139278i
$756$	−2.92281	−	3.08295i	−0.106302	−	0.112126i
$757$	−19.8634	+	8.22770i	−0.721948	+	0.299041i	−0.713239	−	0.700921i	$-0.752772\pi$
$757$	−19.8634	+	8.22770i	−0.721948	+	0.299041i	−0.00870961	+	0.999962i	$0.502772\pi$
$758$	15.7742	−	7.89809i	0.572943	−	0.286872i
$759$	−37.3933	−	18.0287i	−1.35729	−	0.654402i
$760$	−3.25534	+	0.709249i	−0.118084	+	0.0257272i
$761$	8.07215	+	8.07215i	0.292615	+	0.292615i	0.838112	−	0.545497i	$-0.183659\pi$
$761$	8.07215	+	8.07215i	0.292615	+	0.292615i	−0.545497	+	0.838112i	$0.683659\pi$
$762$	0.251676	+	16.8337i	0.00911726	+	0.609821i
$763$	0.693996	−	0.287463i	0.0251243	−	0.0104068i
$764$	23.0532	−	3.31958i	0.834035	−	0.120098i
$765$	0.453512	−	0.130206i	0.0163968	−	0.00470759i
$766$	47.5247	−	3.40414i	1.71714	−	0.122997i
$767$	−8.02795			−0.289873
$768$	24.1115	−	13.6615i	0.870048	−	0.492967i
$769$	−7.21321			−0.260115			−0.130057	−	0.991506i	$-0.541516\pi$
$769$	−7.21321			−0.260115			−0.130057	+	0.991506i	$0.541516\pi$
$770$	−0.378444	+	0.0271075i	−0.0136382	+	0.000976887i
$771$	2.23075	−	39.4003i	0.0803384	−	1.41897i
$772$	−11.9412	+	1.71950i	−0.429775	+	0.0618861i
$773$	−29.1506	+	12.0746i	−1.04848	+	0.434293i	−0.839347	−	0.543595i	$-0.817063\pi$
$773$	−29.1506	+	12.0746i	−1.04848	+	0.434293i	−0.209128	+	0.977888i	$0.567063\pi$
$774$	−10.8571	−	29.6425i	−0.390249	−	1.06548i
$775$	26.2564	+	26.2564i	0.943157	+	0.943157i
$776$	−7.22426	+	1.57397i	−0.259336	+	0.0565021i
$777$	−1.18209	+	2.45176i	−0.0424072	+	0.0879565i
$778$	46.6146	−	23.3398i	1.67121	−	0.836773i
$779$	−20.7133	+	8.57973i	−0.742131	+	0.307401i
$780$	−0.195121	−	2.25125i	−0.00698645	−	0.0806076i
$781$	5.22185	−	12.6067i	0.186853	−	0.451102i
$782$	−6.13929	−	5.31857i	−0.219541	−	0.190192i
$783$	−26.3543	+	41.8152i	−0.941827	+	1.49435i
$784$	−7.71141	−	26.2212i	−0.275407	−	0.936470i
$785$	−2.69382			−0.0961464
$786$	39.5733	+	15.7029i	1.41153	+	0.560105i
$787$	−34.5666	−	14.3179i	−1.23217	−	0.510380i	−0.330908	−	0.943663i	$-0.607355\pi$
$787$	−34.5666	−	14.3179i	−1.23217	−	0.510380i	−0.901258	+	0.433283i	$0.857355\pi$
$788$	−1.08235	+	0.642499i	−0.0385570	+	0.0228881i
$789$	23.4890	−	20.9718i	0.836231	−	0.746614i
$790$	1.97738	−	0.990069i	0.0703520	−	0.0352251i
$791$	0.403347	+	0.403347i	0.0143414	+	0.0143414i
$792$	−25.1357	+	13.5399i	−0.893159	+	0.481120i
$793$	−22.5536	+	22.5536i	−0.800902	+	0.800902i
$794$	−13.2873	+	39.9363i	−0.471549	+	1.41729i
$795$	−0.835930	−	0.936268i	−0.0296474	−	0.0332060i
$796$	−30.8152	−	23.0577i	−1.09221	−	0.817257i
$797$	−0.403632	+	0.974454i	−0.0142974	+	0.0345169i	−0.930867	−	0.365358i	$-0.880947\pi$
$797$	−0.403632	+	0.974454i	−0.0142974	+	0.0345169i	0.916570	+	0.399875i	$0.130947\pi$
$798$	−2.39734	−	5.55148i	−0.0848651	−	0.196520i
$799$		−	0.322349i		−	0.0114039i
$800$	11.6467	−	25.5387i	0.411771	−	0.902931i
$801$	14.3553	+	18.0348i	0.507221	+	0.637229i
$802$	−13.1433	+	0.941440i	−0.464106	+	0.0332434i
$803$	−30.6852	−	12.7102i	−1.08286	−	0.448535i
$804$	−10.2779	+	32.5054i	−0.362472	+	1.14638i
$805$	−0.217350	−	0.524729i	−0.00766058	−	0.0184943i
$806$	−33.5829	−	11.1735i	−1.18291	−	0.393569i
$807$	19.8834	+	9.58656i	0.699930	+	0.337463i
$808$	−30.5274	+	21.2101i	−1.07395	+	0.746169i
$809$	34.9129	−	34.9129i	1.22747	−	1.22747i	0.262555	−	0.964917i	$-0.415435\pi$
$809$	34.9129	−	34.9129i	1.22747	−	1.22747i	0.964917	−	0.262555i	$-0.0845653\pi$
$810$	2.41265	−	0.585247i	0.0847720	−	0.0205635i
$811$	13.0178	+	31.4278i	0.457117	+	1.10358i	0.969559	+	0.244857i	$0.0787411\pi$
$811$	13.0178	+	31.4278i	0.457117	+	1.10358i	−0.512442	+	0.858722i	$0.671259\pi$
$812$	6.68747	−	3.96980i	0.234684	−	0.139313i
$813$	−20.1680	−	1.14186i	−0.707324	−	0.0400469i
$814$	13.8258	+	11.9775i	0.484593	+	0.419811i
$815$			1.54182i			0.0540076i
$816$	−5.44000	+	1.27070i	−0.190438	+	0.0444833i
$817$		−	44.9348i		−	1.57207i
$818$	−23.2991	+	26.8944i	−0.814635	+	0.940342i
$819$	3.94205	−	1.13178i	0.137746	−	0.0395476i
$820$	−0.357866	+	1.40336i	−0.0124972	+	0.0490074i
$821$	3.16275	+	7.63556i	0.110381	+	0.266483i	0.969411	−	0.245441i	$-0.0789329\pi$
$821$	3.16275	+	7.63556i	0.110381	+	0.266483i	−0.859031	+	0.511924i	$0.828933\pi$
$822$	26.0048	−	26.7942i	0.907021	−	0.934554i
$823$	−11.3941	+	11.3941i	−0.397173	+	0.397173i	−0.877235	−	0.480062i	$-0.840614\pi$
$823$	−11.3941	+	11.3941i	−0.397173	+	0.397173i	0.480062	+	0.877235i	$0.340614\pi$
$824$	−28.5069	−	18.3074i	−0.993085	−	0.637767i
$825$	−12.5588	+	26.0481i	−0.437240	+	0.906878i
$826$	−0.438110	+	1.31678i	−0.0152438	+	0.0458167i
$827$	−8.32108	−	20.0889i	−0.289352	−	0.698558i	0.710635	−	0.703561i	$-0.248408\pi$
$827$	−8.32108	−	20.0889i	−0.289352	−	0.698558i	−0.999987	+	0.00500239i	$0.998408\pi$
$828$	−31.1108	−	29.3039i	−1.08118	−	1.01838i
$829$	−7.00953	−	2.90344i	−0.243451	−	0.100841i	0.257622	−	0.966246i	$-0.417061\pi$
$829$	−7.00953	−	2.90344i	−0.243451	−	0.100841i	−0.501073	+	0.865405i	$0.667061\pi$
$830$	−0.127264	−	1.77671i	−0.00441739	−	0.0616705i
$831$	15.0242	−	5.24949i	0.521184	−	0.182103i
$832$	0.972077	+	26.7367i	0.0337007	+	0.926928i
$833$			5.50958i			0.190896i
$834$	3.58269	+	8.29637i	0.124058	+	0.287280i
$835$	−0.174292	+	0.420779i	−0.00603163	+	0.0145617i
$836$	−40.2245	+	5.79218i	−1.39119	+	0.200327i
$837$	6.56601	−	38.3263i	0.226955	−	1.32475i
$838$	−14.1718	−	4.71514i	−0.489556	−	0.162882i
$839$	4.15538	−	4.15538i	0.143460	−	0.143460i	−0.631729	−	0.775189i	$-0.717655\pi$
$839$	4.15538	−	4.15538i	0.143460	−	0.143460i	0.775189	+	0.631729i	$0.217655\pi$
$840$	−0.379908	−	0.0908529i	−0.0131081	−	0.00313472i
$841$	−43.4756	−	43.4756i	−1.49916	−	1.49916i
$842$	−2.86796	−	5.72792i	−0.0988363	−	0.197397i
$843$	36.3963	+	40.7649i	1.25355	+	1.40402i
$844$	−14.5618	−	3.71337i	−0.501239	−	0.127819i
$845$	−0.327198	−	0.135530i	−0.0112560	−	0.00466237i
$846$	0.0705497	−	1.69462i	0.00242555	−	0.0582623i
$847$	−0.131348			−0.00451316
$848$	9.32955	+	11.5671i	0.320378	+	0.397217i
$849$	−17.6135	+	6.15418i	−0.604493	+	0.211211i
$850$	−3.70491	+	4.27661i	−0.127077	+	0.146687i
$851$	−10.4790	+	25.2984i	−0.359214	+	0.867219i
$852$	9.03886	−	10.7544i	0.309666	−	0.368439i
$853$	−24.9124	+	10.3191i	−0.852986	+	0.353318i	−0.765960	−	0.642888i	$-0.777736\pi$
$853$	−24.9124	+	10.3191i	−0.852986	+	0.353318i	−0.0870255	+	0.996206i	$0.527736\pi$
$854$	2.46852	+	4.93016i	0.0844711	+	0.168707i
$855$	3.51122	+	0.398872i	0.120081	+	0.0136411i
$856$	−2.60027	+	1.80663i	−0.0888753	+	0.0617495i
$857$	−9.13231	−	9.13231i	−0.311954	−	0.311954i	0.533712	−	0.845666i	$-0.320797\pi$
$857$	−9.13231	−	9.13231i	−0.311954	−	0.311954i	−0.845666	+	0.533712i	$0.820797\pi$
$858$	−0.412042	−	27.5600i	−0.0140669	−	0.940885i
$859$	−20.1392	+	8.34191i	−0.687139	+	0.284622i	−0.698808	−	0.715310i	$-0.746286\pi$
$859$	−20.1392	+	8.34191i	−0.687139	+	0.284622i	0.0116685	+	0.999932i	$0.496286\pi$
$860$	−2.32408	−	1.73901i	−0.0792505	−	0.0592997i
$861$	−2.62438	−	0.148586i	−0.0894388	−	0.00506380i
$862$	2.45389	+	34.2585i	0.0835800	+	1.16685i
$863$	−14.2708			−0.485784			−0.242892	−	0.970053i	$-0.578096\pi$
$863$	−14.2708			−0.485784			−0.242892	+	0.970053i	$0.578096\pi$
$864$	−28.8767	+	5.48958i	−0.982406	+	0.186759i
$865$	2.07233			0.0704614
$866$	−2.17222	−	30.3260i	−0.0738149	−	1.03052i
$867$	−28.2735	−	1.60077i	−0.960217	−	0.0543651i
$868$	−3.66545	+	4.89865i	−0.124413	+	0.166271i
$869$	24.9208	−	10.3225i	0.845380	−	0.350168i
$870$	0.0679404	+	4.54429i	0.00230339	+	0.154066i
$871$	−23.2726	−	23.2726i	−0.788563	−	0.788563i
$872$	0.921184	−	5.11517i	0.0311952	−	0.173221i
$873$	7.79212	+	0.885178i	0.263723	+	0.0299587i
$874$	−27.2367	−	54.3974i	−0.921294	−	1.84002i
$875$	−0.733853	+	0.303972i	−0.0248088	+	0.0102761i
$876$	−26.1767	−	22.0010i	−0.884429	−	0.743346i
$877$	−10.3328	+	24.9457i	−0.348915	+	0.842355i	0.647834	+	0.761782i	$0.275675\pi$
$877$	−10.3328	+	24.9457i	−0.348915	+	0.842355i	−0.996749	+	0.0805736i	$0.974325\pi$
$878$	2.24258	−	2.58863i	0.0756834	−	0.0873621i
$879$	41.0793	−	14.3532i	1.38557	−	0.484121i
$880$	−1.25714	+	2.30462i	−0.0423781	+	0.0776886i
$881$	3.06465			0.103251			0.0516254	−	0.998667i	$-0.483560\pi$
$881$	3.06465			0.103251			0.0516254	+	0.998667i	$0.483560\pi$
$882$	−1.20583	+	28.9644i	−0.0406026	+	0.975283i
$883$	0.883537	+	0.365973i	0.0297334	+	0.0123160i	0.397501	−	0.917602i	$-0.369878\pi$
$883$	0.883537	+	0.365973i	0.0297334	+	0.0123160i	−0.367767	+	0.929918i	$0.619878\pi$
$884$	1.33266	−	5.22598i	0.0448223	−	0.175769i
$885$	−0.540122	−	0.604954i	−0.0181560	−	0.0203353i
$886$	−2.81251	−	5.61718i	−0.0944881	−	0.188713i
$887$	−5.90816	−	5.90816i	−0.198377	−	0.198377i	0.600927	−	0.799304i	$-0.294798\pi$
$887$	−5.90816	−	5.90816i	−0.198377	−	0.198377i	−0.799304	+	0.600927i	$0.794798\pi$
$888$	9.85426	+	16.0488i	0.330687	+	0.538564i
$889$	−1.98671	+	1.98671i	−0.0666320	+	0.0666320i
$890$	2.01109	+	0.669116i	0.0674119	+	0.0224288i
$891$	29.8638	−	5.01788i	1.00048	−	0.168105i
$892$	1.83911	+	12.7719i	0.0615780	+	0.427635i
$893$	0.923891	−	2.23047i	0.0309168	−	0.0746398i
$894$	16.4926	+	38.1915i	0.551594	+	1.27732i
$895$		−	3.20155i		−	0.107016i
$896$	4.43852	+	1.29966i	0.148281	+	0.0434186i
$897$	38.9515	−	13.6097i	1.30055	−	0.454415i
$898$	−0.641381	−	8.95423i	−0.0214032	−	0.298806i
$899$	65.7654	+	27.2409i	2.19340	+	0.908536i
$900$	−20.4130	+	21.6717i	−0.680435	+	0.722391i
$901$	−1.14639	−	2.76763i	−0.0381918	−	0.0922031i
$902$	−5.57701	+	16.7622i	−0.185694	+	0.558120i
$903$	2.28800	−	4.74554i	0.0761400	−	0.157922i
$904$	3.85631	−	0.840185i	0.128259	−	0.0279441i
$905$	−0.736562	+	0.736562i	−0.0244841	+	0.0244841i
$906$	3.62291	−	3.73288i	0.120363	−	0.124017i
$907$	−1.83330	−	4.42597i	−0.0608736	−	0.146962i	0.890516	−	0.454952i	$-0.150344\pi$
$907$	−1.83330	−	4.42597i	−0.0608736	−	0.146962i	−0.951390	+	0.307990i	$0.900344\pi$
$908$	−6.64130	−	1.69358i	−0.220399	−	0.0562034i
$909$	37.8964	−	10.8802i	1.25694	−	0.360875i
$910$	0.246924	−	0.285028i	0.00818547	−	0.00944857i
$911$			29.4647i			0.976208i	0.872786	+	0.488104i	$0.162311\pi$
$911$			29.4647i			0.976208i	−0.872786	+	0.488104i	$0.837689\pi$
$912$	−41.2836	−	6.79918i	−1.36704	−	0.225143i
$913$		−	21.7274i		−	0.719073i
$914$	−15.1482	−	13.1232i	−0.501059	−	0.434076i
$915$	−3.21696	−	0.182136i	−0.106349	−	0.00602123i
$916$	23.0421	+	38.8164i	0.761331	+	1.28253i
$917$	2.71903	+	6.56433i	0.0897904	+	0.216773i
$918$	5.89678	+	0.580722i	0.194623	+	0.0191667i
$919$	14.4648	−	14.4648i	0.477149	−	0.477149i	−0.427070	−	0.904219i	$-0.640454\pi$
$919$	14.4648	−	14.4648i	0.477149	−	0.477149i	0.904219	+	0.427070i	$0.140454\pi$
$920$	−3.86757	−	0.696506i	−0.127510	−	0.0229631i
$921$	31.0695	+	14.9798i	1.02377	+	0.493600i
$922$	27.8371	+	9.26177i	0.916766	+	0.305020i
$923$	5.19016	+	12.5302i	0.170836	+	0.412435i
$924$	−4.54301	−	1.43645i	−0.149454	−	0.0472558i
$925$	17.6228	+	7.29962i	0.579435	+	0.240010i
$926$	−43.6770	+	3.12853i	−1.43532	+	0.102810i
$927$	22.3790	+	28.1151i	0.735023	+	0.923421i
$928$	1.89185	−	53.7764i	0.0621029	−	1.76530i
$929$		−	30.4237i		−	0.998170i	−0.866553	−	0.499085i	$-0.833670\pi$
$929$		−	30.4237i		−	0.998170i	0.866553	−	0.499085i	$-0.166330\pi$
$930$	−1.41748	−	3.28242i	−0.0464809	−	0.107635i
$931$	−15.7911	+	38.1231i	−0.517533	+	1.24943i
$932$	26.3030	−	35.1524i	0.861584	−	1.15146i
$933$	−1.53099	−	1.71476i	−0.0501225	−	0.0561387i
$934$	−3.35533	+	10.0848i	−0.109790	+	0.329983i
$935$	0.374197	−	0.374197i	0.0122376	−	0.0122376i
$936$	8.14970	−	27.1818i	0.266381	−	0.888466i
$937$	17.7838	+	17.7838i	0.580972	+	0.580972i	0.935170	−	0.354199i	$-0.115246\pi$
$937$	17.7838	+	17.7838i	0.580972	+	0.580972i	−0.354199	+	0.935170i	$0.615246\pi$
$938$	−5.08734	+	2.54722i	−0.166108	+	0.0831697i
$939$	20.6199	−	18.4101i	0.672903	−	0.600790i
$940$	−0.0796072	−	0.134105i	−0.00259650	−	0.00437404i
$941$	−11.2523	−	4.66086i	−0.366815	−	0.151940i	0.191660	−	0.981461i	$-0.438613\pi$
$941$	−11.2523	−	4.66086i	−0.366815	−	0.151940i	−0.558474	+	0.829522i	$0.688613\pi$
$942$	−31.4440	−	12.4772i	−1.02450	−	0.406528i
$943$	−26.4446			−0.861154
$944$	6.02814	+	7.47392i	0.196199	+	0.243255i
$945$	0.350508	+	0.220910i	0.0114020	+	0.00718621i
$946$	−26.7606	−	23.1832i	−0.870063	−	0.753751i
$947$	15.4459	−	37.2898i	0.501925	−	1.21175i	−0.446509	−	0.894779i	$-0.647333\pi$
$947$	15.4459	−	37.2898i	0.501925	−	1.21175i	0.948434	−	0.316975i	$-0.102667\pi$
$948$	27.6671	−	2.39797i	0.898585	−	0.0778825i
$949$	30.4990	−	12.6331i	0.990040	−	0.410088i
$950$	−37.8931	+	18.9730i	−1.22941	+	0.615565i
$951$	−14.8876	+	30.8783i	−0.482763	+	1.00130i
$952$	−0.784461	−	0.503787i	−0.0254245	−	0.0163278i
$953$	−35.9782	−	35.9782i	−1.16545	−	1.16545i	−0.983264	−	0.182184i	$-0.941683\pi$
$953$	−35.9782	−	35.9782i	−1.16545	−	1.16545i	−0.182184	−	0.983264i	$-0.558317\pi$
$954$	−5.42095	−	14.8006i	−0.175510	−	0.479187i
$955$	−2.09858	+	0.869261i	−0.0679085	+	0.0281286i
$956$	6.36622	+	44.2109i	0.205898	+	1.42988i
$957$	−3.13365	+	55.3477i	−0.101297	+	1.78914i
$958$	17.4705	−	1.25140i	0.564448	−	0.0404307i
$959$	6.23131			0.201219
$960$	−1.94937	+	1.87210i	−0.0629155	+	0.0604218i
$961$	−25.0007			−0.806476
$962$	−18.1349	+	1.29898i	−0.584694	+	0.0418809i
$963$	3.22794	−	0.926757i	0.104019	−	0.0298643i
$964$	2.86037	+	19.8642i	0.0921263	+	0.639782i
$965$	1.08704	−	0.450266i	0.0349930	−	0.0144946i
$966$	−0.106624	−	7.13171i	−0.00343058	−	0.229459i
$967$	23.1751	+	23.1751i	0.745262	+	0.745262i	0.973585	−	0.228324i	$-0.0733244\pi$
$967$	23.1751	+	23.1751i	0.745262	+	0.745262i	−0.228324	+	0.973585i	$0.573324\pi$
$968$	−0.491092	+	0.764694i	−0.0157843	+	0.0245782i
$969$	7.59726	+	3.66293i	0.244059	+	0.117670i
$970$	0.644778	−	0.322839i	0.0207026	−	0.0103657i
$971$	−33.6938	+	13.9564i	−1.08128	+	0.447883i	−0.850960	−	0.525231i	$-0.823979\pi$
$971$	−33.6938	+	13.9564i	−1.08128	+	0.447883i	−0.230325	+	0.973114i	$0.573979\pi$
$972$	30.8729	+	4.34349i	0.990248	+	0.139318i
$973$	−0.577137	+	1.39333i	−0.0185022	+	0.0446682i
$974$	13.3442	+	11.5603i	0.427577	+	0.370417i
$975$	−9.48049	−	27.1335i	−0.303619	−	0.868967i
$976$	37.9324	+	4.06175i	1.21419	+	0.130013i
$977$	42.1411			1.34821			0.674106	−	0.738635i	$-0.264529\pi$
$977$	42.1411			1.34821			0.674106	+	0.738635i	$0.264529\pi$
$978$	−7.14138	+	17.9972i	−0.228356	+	0.575486i
$979$	23.8850	+	9.89348i	0.763367	+	0.316197i
$980$	1.36064	+	2.29213i	0.0434642	+	0.0732193i
$981$	−2.67102	+	4.82243i	−0.0852792	+	0.153968i
$982$	12.4997	−	6.25860i	0.398883	−	0.199720i
$983$	27.4787	+	27.4787i	0.876436	+	0.876436i	0.993164	−	0.116728i	$-0.0372406\pi$
$983$	27.4787	+	27.4787i	0.876436	+	0.876436i	−0.116728	+	0.993164i	$0.537241\pi$
$984$	−10.6773	+	14.7234i	−0.340380	+	0.469364i
$985$	0.0868009	−	0.0868009i	0.00276571	−	0.00276571i
$986$	−3.42442	+	10.2924i	−0.109056	+	0.327777i
$987$	0.211143	−	0.188515i	0.00672076	−	0.00600051i
$988$	24.1995	−	32.3412i	0.769890	−	1.02891i
$989$	20.2827	−	48.9667i	0.644951	−	1.55705i
$990$	2.04909	−	1.88530i	0.0651243	−	0.0599186i
$991$		−	42.6090i		−	1.35352i	−0.736204	−	0.676760i	$-0.763384\pi$
$991$		−	42.6090i		−	1.35352i	0.736204	−	0.676760i	$-0.236616\pi$
$992$	14.8148	+	39.6553i	0.470371	+	1.25906i
$993$	−7.15560	−	20.4796i	−0.227076	−	0.649899i
$994$	2.33850	−	0.167504i	0.0741726	−	0.00531290i
$995$	3.46777	+	1.43640i	0.109936	+	0.0455368i
$996$	6.74383	−	21.3284i	0.213686	−	0.675817i
$997$	−5.53889	−	13.3721i	−0.175418	−	0.423497i	0.811577	−	0.584245i	$-0.198609\pi$
$997$	−5.53889	−	13.3721i	−0.175418	−	0.423497i	−0.986995	+	0.160748i	$0.948609\pi$
$998$	7.06992	+	2.35226i	0.223795	+	0.0744594i
$999$	−4.41816	−	19.4804i	−0.139785	−	0.616332i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	96.2.o.a.35.1	yes	56
3.2	odd	2	inner	96.2.o.a.35.14	yes	56
4.3	odd	2		384.2.o.a.47.1		56
8.3	odd	2		768.2.o.a.95.14		56
8.5	even	2		768.2.o.b.95.1		56
12.11	even	2		384.2.o.a.47.11		56
24.5	odd	2		768.2.o.b.95.11		56
24.11	even	2		768.2.o.a.95.4		56
32.5	even	8		768.2.o.a.671.4		56
32.11	odd	8	inner	96.2.o.a.11.14	yes	56
32.21	even	8		384.2.o.a.335.11		56
32.27	odd	8		768.2.o.b.671.11		56
96.5	odd	8		768.2.o.a.671.14		56
96.11	even	8	inner	96.2.o.a.11.1	✓	56
96.53	odd	8		384.2.o.a.335.1		56
96.59	even	8		768.2.o.b.671.1		56

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
96.2.o.a.11.1	✓	56	96.11	even	8	inner
96.2.o.a.11.14	yes	56	32.11	odd	8	inner
96.2.o.a.35.1	yes	56	1.1	even	1	trivial
96.2.o.a.35.14	yes	56	3.2	odd	2	inner
384.2.o.a.47.1		56	4.3	odd	2
384.2.o.a.47.11		56	12.11	even	2
384.2.o.a.335.1		56	96.53	odd	8
384.2.o.a.335.11		56	32.21	even	8
768.2.o.a.95.4		56	24.11	even	2
768.2.o.a.95.14		56	8.3	odd	2
768.2.o.a.671.4		56	32.5	even	8
768.2.o.a.671.14		56	96.5	odd	8
768.2.o.b.95.1		56	8.5	even	2
768.2.o.b.95.11		56	24.5	odd	2
768.2.o.b.671.1		56	96.59	even	8
768.2.o.b.671.11		56	32.27	odd	8

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 96 = 2^{5} \cdot 3 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	96.o (of order \(8\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.41060 + 0.101040i) q^{2} +(1.72928 + 0.0979076i) q^{3} +(1.97958 - 0.285053i) q^{4} +(-0.180206 + 0.0746437i) q^{5} +(-2.44922 + 0.0366175i) q^{6} +(-0.289055 - 0.289055i) q^{7} +(-2.76360 + 0.602112i) q^{8} +(2.98083 + 0.338620i) q^{9} +O(q^{10})\)	\(q+(-1.41060 + 0.101040i) q^{2} +(1.72928 + 0.0979076i) q^{3} +(1.97958 - 0.285053i) q^{4} +(-0.180206 + 0.0746437i) q^{5} +(-2.44922 + 0.0366175i) q^{6} +(-0.289055 - 0.289055i) q^{7} +(-2.76360 + 0.602112i) q^{8} +(2.98083 + 0.338620i) q^{9} +(0.246656 - 0.123500i) q^{10} +(3.10859 - 1.28762i) q^{11} +(3.45116 - 0.299121i) q^{12} +(-1.27981 + 3.08973i) q^{13} +(0.436947 + 0.378535i) q^{14} +(-0.318935 + 0.111436i) q^{15} +(3.83749 - 1.12857i) q^{16} -0.806332 q^{17} +(-4.23897 - 0.176475i) q^{18} +(-5.57935 - 2.31104i) q^{19} +(-0.335455 + 0.199131i) q^{20} +(-0.471557 - 0.528159i) q^{21} +(-4.25488 + 2.13041i) q^{22} +(-5.03681 - 5.03681i) q^{23} +(-4.83799 + 0.770644i) q^{24} +(-3.50863 + 3.50863i) q^{25} +(1.49311 - 4.48768i) q^{26} +(5.12154 + 0.877415i) q^{27} +(-0.654605 - 0.489813i) q^{28} +(-3.64020 + 8.78822i) q^{29} +(0.438629 - 0.189417i) q^{30} -7.48336i q^{31} +(-5.29913 + 1.97970i) q^{32} +(5.50170 - 1.92230i) q^{33} +(1.13741 - 0.0814715i) q^{34} +(0.0736656 + 0.0305133i) q^{35} +(5.99732 - 0.179369i) q^{36} +(-1.47112 - 3.55159i) q^{37} +(8.10374 + 2.69622i) q^{38} +(-2.51565 + 5.21770i) q^{39} +(0.453072 - 0.314789i) q^{40} +(2.62513 - 2.62513i) q^{41} +(0.718544 + 0.697375i) q^{42} +(2.84744 + 6.87432i) q^{43} +(5.78667 - 3.43506i) q^{44} +(-0.562438 + 0.161479i) q^{45} +(7.61384 + 6.59601i) q^{46} +0.399772i q^{47} +(6.74660 - 1.57590i) q^{48} -6.83289i q^{49} +(4.59476 - 5.30378i) q^{50} +(-1.39438 - 0.0789461i) q^{51} +(-1.65275 + 6.48118i) q^{52} +(1.42173 + 3.43237i) q^{53} +(-7.31309 - 0.720202i) q^{54} +(-0.464073 + 0.464073i) q^{55} +(0.972876 + 0.624789i) q^{56} +(-9.42200 - 4.54271i) q^{57} +(4.24691 - 12.7645i) q^{58} +(0.918629 + 2.21777i) q^{59} +(-0.599592 + 0.311511i) q^{60} +(8.81133 + 3.64977i) q^{61} +(0.756117 + 10.5560i) q^{62} +(-0.763745 - 0.959504i) q^{63} +(7.27492 - 3.32799i) q^{64} -0.652316i q^{65} +(-7.56646 + 3.26749i) q^{66} +(-3.76613 + 9.09225i) q^{67} +(-1.59620 + 0.229847i) q^{68} +(-8.21692 - 9.20321i) q^{69} +(-0.106996 - 0.0355989i) q^{70} +(2.86762 - 2.86762i) q^{71} +(-8.44169 + 0.858984i) q^{72} +(-6.97993 - 6.97993i) q^{73} +(2.43401 + 4.86123i) q^{74} +(-6.41093 + 5.72389i) q^{75} +(-11.7036 - 2.98449i) q^{76} +(-1.27075 - 0.526361i) q^{77} +(3.02138 - 7.61427i) q^{78} +8.01674 q^{79} +(-0.607297 + 0.489819i) q^{80} +(8.77067 + 2.01873i) q^{81} +(-3.43776 + 3.96825i) q^{82} +(2.47115 - 5.96589i) q^{83} +(-1.08404 - 0.911115i) q^{84} +(0.145306 - 0.0601876i) q^{85} +(-4.71117 - 9.40921i) q^{86} +(-7.15536 + 14.8409i) q^{87} +(-7.81560 + 5.43018i) q^{88} +(5.43308 + 5.43308i) q^{89} +(0.777059 - 0.284610i) q^{90} +(1.26304 - 0.523167i) q^{91} +(-11.4065 - 8.53503i) q^{92} +(0.732678 - 12.9408i) q^{93} +(-0.0403928 - 0.563918i) q^{94} +1.17794 q^{95} +(-9.35752 + 2.90463i) q^{96} +2.61408 q^{97} +(0.690393 + 9.63848i) q^{98} +(9.70219 - 2.78555i) 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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