LMFDB - Embedded newform 96.2.o.a.11.14

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			11.14
Character	$\chi$	$=$	96.11
Dual form			96.2.o.a.35.14

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.41060 + 0.101040i) q^{2} +(-1.29202 + 1.15356i) q^{3} +(1.97958 + 0.285053i) q^{4} +(0.180206 + 0.0746437i) q^{5} +(-1.93907 + 1.49666i) q^{6} +(-0.289055 + 0.289055i) q^{7} +(2.76360 + 0.602112i) q^{8} +(0.338620 - 2.98083i) q^{9} +O(q^{10})$	\(q+(1.41060 + 0.101040i) q^{2} +(-1.29202 + 1.15356i) q^{3} +(1.97958 + 0.285053i) q^{4} +(0.180206 + 0.0746437i) q^{5} +(-1.93907 + 1.49666i) q^{6} +(-0.289055 + 0.289055i) q^{7} +(2.76360 + 0.602112i) q^{8} +(0.338620 - 2.98083i) q^{9} +(0.246656 + 0.123500i) q^{10} +(-3.10859 - 1.28762i) q^{11} +(-2.88648 + 1.91526i) 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} +(0.778839 - 4.17054i) q^{18} +(-5.57935 + 2.31104i) q^{19} +(0.335455 + 0.199131i) q^{20} +(0.0400233 - 0.706906i) q^{21} +(-4.25488 - 2.13041i) q^{22} +(5.03681 - 5.03681i) q^{23} +(-4.26518 + 2.41002i) q^{24} +(-3.50863 - 3.50863i) q^{25} +(-1.49311 - 4.48768i) q^{26} +(3.00105 + 4.24190i) q^{27} +(-0.654605 + 0.489813i) q^{28} +(3.64020 + 8.78822i) q^{29} +(-0.461148 + 0.124967i) 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} +(1.52002 - 5.80427i) q^{36} +(-1.47112 + 3.55159i) q^{37} +(-8.10374 + 2.69622i) q^{38} +(5.21770 + 2.51565i) q^{39} +(0.453072 + 0.314789i) q^{40} +(-2.62513 - 2.62513i) q^{41} +(0.127882 - 0.993117i) q^{42} +(2.84744 - 6.87432i) q^{43} +(-5.78667 - 3.43506i) q^{44} +(0.283521 - 0.511886i) q^{45} +(7.61384 - 6.59601i) q^{46} +0.399772i q^{47} +(-6.25997 + 2.96862i) q^{48} +6.83289i q^{49} +(-4.59476 - 5.30378i) q^{50} +(-1.04180 + 0.930149i) q^{51} +(-1.65275 - 6.48118i) q^{52} +(-1.42173 + 3.43237i) q^{53} +(3.80468 + 6.28685i) q^{54} +(-0.464073 - 0.464073i) q^{55} +(-0.972876 + 0.624789i) q^{56} +(4.54271 - 9.42200i) q^{57} +(4.24691 + 12.7645i) q^{58} +(-0.918629 + 2.21777i) q^{59} +(-0.663122 + 0.129684i) 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} +(7.95492 - 2.15571i) q^{66} +(-3.76613 - 9.09225i) q^{67} +(1.59620 + 0.229847i) q^{68} +(-0.697409 + 12.3179i) q^{69} +(-0.106996 + 0.0355989i) q^{70} +(-2.86762 - 2.86762i) q^{71} +(2.73060 - 8.03392i) q^{72} +(-6.97993 + 6.97993i) q^{73} +(-2.43401 + 4.86123i) q^{74} +(8.58062 + 0.485813i) q^{75} +(-11.7036 + 2.98449i) q^{76} +(1.27075 - 0.526361i) q^{77} +(7.10591 + 4.07577i) 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} +(0.280735 - 1.38797i) q^{84} +(0.145306 + 0.0601876i) q^{85} +(4.71117 - 9.40921i) q^{86} +(-14.8409 - 7.15536i) q^{87} +(-7.81560 - 5.43018i) q^{88} +(-5.43308 + 5.43308i) q^{89} +(0.451656 - 0.693420i) q^{90} +(1.26304 + 0.523167i) q^{91} +(11.4065 - 8.53503i) q^{92} +(-8.63248 - 9.66864i) q^{93} +(-0.0403928 + 0.563918i) q^{94} -1.17794 q^{95} +(-9.13027 + 3.55503i) q^{96} +2.61408 q^{97} +(-0.690393 + 9.63848i) q^{98} +(-4.89081 + 8.83016i) 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 $

$2$	1.41060	+	0.101040i	0.997444	+	0.0714458i
$2$	1.41060	+	0.101040i	0.997444	+	0.0714458i
$3$	−1.29202	+	1.15356i	−0.745947	+	0.666006i
$3$	−1.29202	+	1.15356i	−0.745947	+	0.666006i
$4$	1.97958	+	0.285053i	0.989791	+	0.142526i
$5$	0.180206	+	0.0746437i	0.0805904	+	0.0333817i	0.422614	−	0.906310i	$-0.361112\pi$
$5$	0.180206	+	0.0746437i	0.0805904	+	0.0333817i	−0.342024	+	0.939691i	$0.611112\pi$
$6$	−1.93907	+	1.49666i	−0.791624	+	0.611009i
$7$	−0.289055	+	0.289055i	−0.109253	+	0.109253i	−0.759620	−	0.650367i	$-0.774615\pi$
$7$	−0.289055	+	0.289055i	−0.109253	+	0.109253i	0.650367	+	0.759620i	$0.274615\pi$
$8$	2.76360	+	0.602112i	0.977079	+	0.212879i
$9$	0.338620	−	2.98083i	0.112873	−	0.993609i
$10$	0.246656	+	0.123500i	0.0779995	+	0.0390542i
$11$	−3.10859	−	1.28762i	−0.937276	−	0.388232i	−0.138842	−	0.990315i	$-0.544338\pi$
$11$	−3.10859	−	1.28762i	−0.937276	−	0.388232i	−0.798434	+	0.602082i	$0.794338\pi$
$12$	−2.88648	+	1.91526i	−0.833255	+	0.552889i
$13$	−1.27981	−	3.08973i	−0.354954	−	0.856936i	−0.995993	−	0.0894273i	$-0.971496\pi$
$13$	−1.27981	−	3.08973i	−0.354954	−	0.856936i	0.641039	−	0.767508i	$-0.278504\pi$
$14$	−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	$-0.468825\pi$
$17$	0.806332			0.195564			0.0977822	+	0.995208i	$0.468825\pi$
$18$	0.778839	−	4.17054i	0.183574	−	0.983006i
$19$	−5.57935	+	2.31104i	−1.27999	+	0.530190i	−0.915987	−	0.401208i	$-0.868591\pi$
$19$	−5.57935	+	2.31104i	−1.27999	+	0.530190i	−0.364004	+	0.931397i	$0.618591\pi$
$20$	0.335455	+	0.199131i	0.0750099	+	0.0445271i
$21$	0.0400233	−	0.706906i	0.00873379	−	0.154260i
$22$	−4.25488	−	2.13041i	−0.907143	−	0.454205i
$23$	5.03681	−	5.03681i	1.05025	−	1.05025i	0.0515792	−	0.998669i	$-0.483575\pi$
$23$	5.03681	−	5.03681i	1.05025	−	1.05025i	0.998669	−	0.0515792i	$-0.0164254\pi$
$24$	−4.26518	+	2.41002i	−0.870627	+	0.491944i
$25$	−3.50863	−	3.50863i	−0.701726	−	0.701726i
$26$	−1.49311	−	4.48768i	−0.292823	−	0.880106i
$27$	3.00105	+	4.24190i	0.577552	+	0.816354i
$28$	−0.654605	+	0.489813i	−0.123709	+	0.0925659i
$29$	3.64020	+	8.78822i	0.675968	+	1.63193i	0.771289	+	0.636485i	$0.219612\pi$
$29$	3.64020	+	8.78822i	0.675968	+	1.63193i	−0.0953212	+	0.995447i	$0.530388\pi$
$30$	−0.461148	+	0.124967i	−0.0841938	+	0.0228158i
$31$			7.48336i			1.34405i	0.740528	+	0.672026i	$0.234576\pi$
$31$			7.48336i			1.34405i	−0.740528	+	0.672026i	$0.765424\pi$
$32$	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
$36$	1.52002	−	5.80427i	0.253337	−	0.967378i
$37$	−1.47112	+	3.55159i	−0.241850	+	0.583878i	−0.997467	−	0.0711364i	$-0.977337\pi$
$37$	−1.47112	+	3.55159i	−0.241850	+	0.583878i	0.755616	+	0.655014i	$0.227337\pi$
$38$	−8.10374	+	2.69622i	−1.31460	+	0.437385i
$39$	5.21770	+	2.51565i	0.835501	+	0.402827i
$40$	0.453072	+	0.314789i	0.0716370	+	0.0497725i
$41$	−2.62513	−	2.62513i	−0.409976	−	0.409976i	0.471754	−	0.881730i	$-0.343621\pi$
$41$	−2.62513	−	2.62513i	−0.409976	−	0.409976i	−0.881730	+	0.471754i	$0.843621\pi$
$42$	0.127882	−	0.993117i	0.0197327	−	0.153241i
$43$	2.84744	−	6.87432i	0.434230	−	1.04832i	−0.543679	−	0.839293i	$-0.682969\pi$
$43$	2.84744	−	6.87432i	0.434230	−	1.04832i	0.977909	−	0.209031i	$-0.0670310\pi$
$44$	−5.78667	−	3.43506i	−0.872374	−	0.517855i
$45$	0.283521	−	0.511886i	0.0422648	−	0.0763075i
$46$	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	$0.990718\pi$
$48$	−6.25997	+	2.96862i	−0.903549	+	0.428484i
$49$			6.83289i			0.976128i
$50$	−4.59476	−	5.30378i	−0.649798	−	0.750068i
$51$	−1.04180	+	0.930149i	−0.145881	+	0.130247i
$52$	−1.65275	−	6.48118i	−0.229195	−	0.898778i
$53$	−1.42173	+	3.43237i	−0.195290	+	0.471472i	−0.990943	−	0.134280i	$-0.957128\pi$
$53$	−1.42173	+	3.43237i	−0.195290	+	0.471472i	0.795653	+	0.605752i	$0.207128\pi$
$54$	3.80468	+	6.28685i	0.517751	+	0.855531i
$55$	−0.464073	−	0.464073i	−0.0625756	−	0.0625756i
$56$	−0.972876	+	0.624789i	−0.130006	+	0.0834909i
$57$	4.54271	−	9.42200i	0.601696	−	1.24797i
$58$	4.24691	+	12.7645i	0.557646	+	1.67606i
$59$	−0.918629	+	2.21777i	−0.119595	+	0.288729i	−0.972328	−	0.233618i	$-0.924943\pi$
$59$	−0.918629	+	2.21777i	−0.119595	+	0.288729i	0.852733	+	0.522347i	$0.174943\pi$
$60$	−0.663122	+	0.129684i	−0.0856087	+	0.0167422i
$61$	8.81133	−	3.64977i	1.12818	−	0.467306i	0.261015	−	0.965335i	$-0.415943\pi$
$61$	8.81133	−	3.64977i	1.12818	−	0.467306i	0.867160	+	0.498029i	$0.165943\pi$
$62$	−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
$66$	7.95492	−	2.15571i	0.979183	−	0.265350i
$67$	−3.76613	−	9.09225i	−0.460107	−	1.11080i	−0.968353	−	0.249584i	$-0.919706\pi$
$67$	−3.76613	−	9.09225i	−0.460107	−	1.11080i	0.508247	−	0.861212i	$-0.330294\pi$
$68$	1.59620	+	0.229847i	0.193568	+	0.0278731i
$69$	−0.697409	+	12.3179i	−0.0839581	+	1.48290i
$70$	−0.106996	+	0.0355989i	−0.0127884	+	0.00425488i
$71$	−2.86762	−	2.86762i	−0.340324	−	0.340324i	0.516165	−	0.856489i	$-0.327359\pi$
$71$	−2.86762	−	2.86762i	−0.340324	−	0.340324i	−0.856489	+	0.516165i	$0.827359\pi$
$72$	2.73060	−	8.03392i	0.321804	−	0.946806i
$73$	−6.97993	+	6.97993i	−0.816939	+	0.816939i	−0.985663	−	0.168725i	$-0.946035\pi$
$73$	−6.97993	+	6.97993i	−0.816939	+	0.816939i	0.168725	+	0.985663i	$0.446035\pi$
$74$	−2.43401	+	4.86123i	−0.282948	+	0.565107i
$75$	8.58062	+	0.485813i	0.990804	+	0.0560969i
$76$	−11.7036	+	2.98449i	−1.34249	+	0.342344i
$77$	1.27075	−	0.526361i	0.144815	−	0.0599845i
$78$	7.10591	+	4.07577i	0.804586	+	0.461490i
$79$	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	$-0.240314\pi$
$83$	−2.47115	−	5.96589i	−0.271244	−	0.654841i	−0.999537	+	0.0304247i	$0.990314\pi$
$84$	0.280735	−	1.38797i	0.0306307	−	0.151440i
$85$	0.145306	+	0.0601876i	0.0157606	+	0.00652826i
$86$	4.71117	−	9.40921i	0.508019	−	1.01462i
$87$	−14.8409	−	7.15536i	−1.59111	−	0.767135i
$88$	−7.81560	−	5.43018i	−0.833146	−	0.578860i
$89$	−5.43308	+	5.43308i	−0.575905	+	0.575905i	−0.933773	−	0.357867i	$-0.883504\pi$
$89$	−5.43308	+	5.43308i	−0.575905	+	0.575905i	0.357867	+	0.933773i	$0.383504\pi$
$90$	0.451656	−	0.693420i	0.0476087	−	0.0730929i
$91$	1.26304	+	0.523167i	0.132402	+	0.0548428i
$92$	11.4065	−	8.53503i	1.18921	−	0.889838i
$93$	−8.63248	−	9.66864i	−0.895146	−	1.00259i
$94$	−0.0403928	+	0.563918i	−0.00416620	+	0.0581637i
$95$	−1.17794			−0.120854
$96$	−9.13027	+	3.55503i	−0.931854	+	0.362834i
$97$	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
$99$	−4.89081	+	8.83016i	−0.491545	+	0.887465i
$100$	−5.94548	−	7.94577i	−0.594548	−	0.794577i
$101$	−12.1420	−	5.02940i	−1.20818	−	0.500444i	−0.314546	−	0.949242i	$-0.601852\pi$
$101$	−12.1420	−	5.02940i	−1.20818	−	0.500444i	−0.893633	+	0.448798i	$0.851852\pi$
$102$	−1.56354	+	1.20681i	−0.154813	+	0.119492i
$103$	8.46981	−	8.46981i	0.834555	−	0.834555i	−0.153581	−	0.988136i	$-0.549081\pi$
$103$	8.46981	−	8.46981i	0.834555	−	0.834555i	0.988136	+	0.153581i	$0.0490806\pi$
$104$	−1.67651	−	9.30934i	−0.164395	−	0.912856i
$105$	0.0599785	−	0.124401i	0.00585330	−	0.0121403i
$106$	−2.35230	+	4.69804i	−0.228476	+	0.456314i
$107$	−1.03423	−	0.428394i	−0.0999833	−	0.0414144i	0.332131	−	0.943233i	$-0.392232\pi$
$107$	−1.03423	−	0.428394i	−0.0999833	−	0.0414144i	−0.432114	+	0.901819i	$0.642232\pi$
$108$	4.73165	+	9.25265i	0.455304	+	0.890336i
$109$	−0.703211	−	1.69770i	−0.0673554	−	0.162610i	0.886617	−	0.462504i	$-0.153049\pi$
$109$	−0.703211	−	1.69770i	−0.0673554	−	0.162610i	−0.953973	+	0.299894i	$0.903049\pi$
$110$	−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	$-0.479093\pi$
$113$	1.39540			0.131268			0.0656339	+	0.997844i	$0.479093\pi$
$114$	7.35993	−	12.8317i	0.689321	−	1.20180i
$115$	1.28363	−	0.531696i	0.119699	−	0.0495809i
$116$	4.70097	+	18.4346i	0.436474	+	1.71161i
$117$	−9.64331	+	2.76864i	−0.891524	+	0.255961i
$118$	−1.51990	+	3.03556i	−0.139918	+	0.279446i
$119$	−0.233075	+	0.233075i	−0.0213659	+	0.0213659i
$120$	−0.948503	+	0.115931i	−0.0865861	+	0.0105830i
$121$	0.227201	+	0.227201i	0.0206547	+	0.0206547i
$122$	12.7980	−	4.25808i	1.15868	−	0.385508i
$123$	6.41995	+	0.363481i	0.578867	+	0.0327740i
$124$	−2.13316	+	14.8139i	−0.191563	+	1.33033i
$125$	−0.743597	−	1.79520i	−0.0665093	−	0.160568i
$126$	0.980390	+	1.43064i	0.0873401	+	0.127452i
$127$			6.87310i			0.609889i	0.952370	+	0.304944i	$0.0986379\pi$
$127$			6.87310i			0.609889i	−0.952370	+	0.304944i	$0.901362\pi$
$128$	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	$-0.350542\pi$
$131$	16.0581	−	6.65149i	1.40300	−	0.581143i	0.950529	+	0.310635i	$0.100542\pi$
$132$	11.4390	−	2.23708i	0.995639	−	0.194713i
$133$	0.944722	−	2.28076i	0.0819178	−	0.197767i
$134$	−4.39383	−	13.2061i	−0.379569	−	1.14083i
$135$	0.224175	+	0.988424i	0.0192939	+	0.0850700i
$136$	2.22838	+	0.485502i	0.191082	+	0.0416315i
$137$	10.7787	+	10.7787i	0.920890	+	0.920890i	0.997092	−	0.0762022i	$-0.0242795\pi$
$137$	10.7787	+	10.7787i	0.920890	+	0.920890i	−0.0762022	+	0.997092i	$0.524279\pi$
$138$	−2.22836	+	17.3051i	−0.189691	+	1.47311i
$139$	−1.41183	+	3.40847i	−0.119750	+	0.289102i	−0.972376	−	0.233419i	$-0.925009\pi$
$139$	−1.41183	+	3.40847i	−0.119750	+	0.289102i	0.852626	+	0.522521i	$0.175009\pi$
$140$	−0.154525	+	0.0394050i	−0.0130597	+	0.00333033i
$141$	−0.461159	−	0.516513i	−0.0388366	−	0.0434982i
$142$	−3.75532	−	4.33481i	−0.315140	−	0.363769i
$143$			11.2526i			0.940990i
$144$	4.66353	−	11.0567i	0.388627	−	0.921395i
$145$			1.85541i			0.154083i
$146$	−10.5511	+	9.14063i	−0.873218	+	0.756484i
$147$	−7.88212	−	8.82822i	−0.650106	−	0.728139i
$148$	−3.92459	+	6.61132i	−0.322599	+	0.543447i
$149$	6.49923	−	15.6905i	0.532438	−	1.28542i	−0.397466	−	0.917617i	$-0.630111\pi$
$149$	6.49923	−	15.6905i	0.532438	−	1.28542i	0.929904	−	0.367802i	$-0.119889\pi$
$150$	12.0547	+	1.55227i	0.984264	+	0.126742i
$151$	−1.50166	−	1.50166i	−0.122204	−	0.122204i	0.643360	−	0.765564i	$-0.277540\pi$
$151$	−1.50166	−	1.50166i	−0.122204	−	0.122204i	−0.765564	+	0.643360i	$0.777540\pi$
$152$	−16.8106	+	3.02740i	−1.36352	+	0.245554i
$153$	0.273040	−	2.40354i	0.0220740	−	0.194315i
$154$	1.84570	−	0.614089i	0.148731	−	0.0494847i
$155$	−0.558586	+	1.34855i	−0.0448667	+	0.108318i
$156$	9.61177	+	6.46726i	0.769558	+	0.517795i
$157$	12.7594	−	5.28511i	1.01831	−	0.421798i	0.189830	−	0.981817i	$-0.439206\pi$
$157$	12.7594	−	5.28511i	1.01831	−	0.421798i	0.828480	+	0.560019i	$0.189206\pi$
$158$	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
$162$	−12.1679	−	3.73381i	−0.956003	−	0.293356i
$163$	3.02496	+	7.30291i	0.236933	+	0.572008i	0.996963	−	0.0778809i	$-0.0248154\pi$
$163$	3.02496	+	7.30291i	0.236933	+	0.572008i	−0.760029	+	0.649889i	$0.774815\pi$
$164$	−4.44836	−	5.94496i	−0.347358	−	0.464223i
$165$	1.13493	+	0.0642567i	0.0883538	+	0.00500237i
$166$	−2.88301	−	8.66516i	−0.223765	−	0.672547i
$167$	−1.65109	−	1.65109i	−0.127765	−	0.127765i	0.640333	−	0.768098i	$-0.278797\pi$
$167$	−1.65109	−	1.65109i	−0.127765	−	0.127765i	−0.768098	+	0.640333i	$0.778797\pi$
$168$	0.536245	−	1.92950i	0.0413722	−	0.148864i
$169$	1.28389	−	1.28389i	0.0987607	−	0.0987607i
$170$	0.198887	+	0.0995822i	0.0152539	+	0.00763761i
$171$	4.99955	+	17.4137i	0.382325	+	1.33166i
$172$	7.59628	−	12.7966i	0.579211	−	0.975733i
$173$	9.81571	−	4.06580i	0.746275	−	0.309117i	0.0230541	−	0.999734i	$-0.492661\pi$
$173$	9.81571	−	4.06580i	0.746275	−	0.309117i	0.723221	+	0.690617i	$0.242661\pi$
$174$	−20.2116	−	11.5929i	−1.53224	−	0.878853i
$175$	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	0.964389	+	0.264487i	$0.0852026\pi$
$179$	6.28126	+	15.1643i	0.469484	+	1.13343i	−0.494906	+	0.868947i	$0.664797\pi$
$180$	0.707168	−	0.932503i	0.0527092	−	0.0695046i
$181$	4.93385	+	2.04367i	0.366730	+	0.151905i	0.558436	−	0.829548i	$-0.311402\pi$
$181$	4.93385	+	2.04367i	0.366730	+	0.151905i	−0.191705	+	0.981453i	$0.561402\pi$
$182$	1.72878	+	0.865596i	0.128146	+	0.0641622i
$183$	−7.17418	+	14.8799i	−0.530331	+	1.09996i
$184$	16.9524	−	10.8870i	1.24975	−	0.802600i
$185$	−0.530208	+	0.530208i	−0.0389816	+	0.0389816i
$186$	−11.2001	−	14.5108i	−0.821228	−	1.06398i
$187$	−2.50656	−	1.03825i	−0.183298	−	0.0759244i
$188$	−0.113956	+	0.791382i	−0.00831111	+	0.0577174i
$189$	−2.09361	−	0.358675i	−0.152288	−	0.0260898i
$190$	−1.66160	−	0.119018i	−0.120545	−	0.00863449i
$191$	−11.6455			−0.842637			−0.421318	−	0.906913i	$-0.638433\pi$
$191$	−11.6455			−0.842637			−0.421318	+	0.906913i	$0.638433\pi$
$192$	−13.2383	+	4.09221i	−0.955395	+	0.295330i
$193$	−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
$195$	0.752482	+	0.842803i	0.0538864	+	0.0603544i
$196$	−1.94774	+	13.5263i	−0.139124	+	0.966162i
$197$	0.581435	+	0.240838i	0.0414255	+	0.0171590i	0.403300	−	0.915068i	$-0.367863\pi$
$197$	0.581435	+	0.240838i	0.0414255	+	0.0171590i	−0.361874	+	0.932227i	$0.617863\pi$
$198$	−7.79117	+	11.9617i	−0.553694	+	0.850078i
$199$	−13.6071	+	13.6071i	−0.964583	+	0.964583i	−0.999394	−	0.0348110i	$-0.988917\pi$
$199$	−13.6071	+	13.6071i	−0.964583	+	0.964583i	0.0348110	+	0.999394i	$0.488917\pi$
$200$	−7.58385	−	11.8090i	−0.536259	−	0.835024i
$201$	15.3543	+	7.40291i	1.08301	+	0.522161i
$202$	−16.6194	−	8.32130i	−1.16934	−	0.585484i
$203$	−3.59250	−	1.48806i	−0.252144	−	0.104442i
$204$	−2.32746	+	1.54434i	−0.162955	+	0.108125i
$205$	−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
$210$	0.0971750	−	0.169420i	0.00670572	−	0.0116911i
$211$	−6.94196	+	2.87545i	−0.477904	+	0.197954i	−0.608614	−	0.793466i	$-0.708274\pi$
$211$	−6.94196	+	2.87545i	−0.477904	+	0.197954i	0.130710	+	0.991421i	$0.458274\pi$
$212$	−3.79284	+	6.38938i	−0.260493	+	0.438824i
$213$	7.01298	+	0.397057i	0.480521	+	0.0272059i
$214$	−1.41561	−	0.708791i	−0.0967689	−	0.0484520i
$215$	1.02625	−	1.02625i	0.0699896	−	0.0699896i
$216$	5.73959	+	13.5299i	0.390529	+	0.920590i
$217$	−2.16311	−	2.16311i	−0.146841	−	0.146841i
$218$	−0.820413	−	2.46583i	−0.0555654	−	0.167007i
$219$	0.966457	−	17.0699i	0.0653071	−	1.15348i
$220$	−0.786386	−	1.05096i	−0.0530181	−	0.0708555i
$221$	−1.03195	−	2.49135i	−0.0694164	−	0.167586i
$222$	−2.46292	−	9.08856i	−0.165300	−	0.609984i
$223$		−	6.45182i		−	0.432046i	−0.976388	−	0.216023i	$-0.930691\pi$
$223$		−	6.45182i		−	0.432046i	0.976388	−	0.216023i	$-0.0693086\pi$
$224$	−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	$-0.588721\pi$
$227$	3.16606	−	1.31143i	0.210139	−	0.0870424i	0.485270	+	0.874364i	$0.338721\pi$
$228$	11.6784	−	17.3567i	0.773423	−	1.14948i
$229$	8.63723	−	20.8521i	0.570764	−	1.37795i	−0.330141	−	0.943932i	$-0.607096\pi$
$229$	8.63723	−	20.8521i	0.570764	−	1.37795i	0.900905	−	0.434015i	$-0.142904\pi$
$230$	1.86441	−	0.620313i	0.122935	−	0.0409022i
$231$	−1.03464	+	2.14595i	−0.0680745	+	0.141193i
$232$	4.76855	+	26.4789i	0.313071	+	1.73842i
$233$	−15.5223	−	15.5223i	−1.01690	−	1.01690i	−0.999855	−	0.0170465i	$-0.994574\pi$
$233$	−15.5223	−	15.5223i	−1.01690	−	1.01690i	−0.0170465	−	0.999855i	$-0.505426\pi$
$234$	−13.8826	+	2.93109i	−0.907533	+	0.191611i
$235$	−0.0298404	+	0.0720412i	−0.00194658	+	0.00469945i
$236$	−2.45068	+	4.12839i	−0.159526	+	0.268735i
$237$	−10.3578	+	9.24776i	−0.672810	+	0.600706i
$238$	−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	$0.743078\pi$
$240$	−1.34967	+	0.0676954i	−0.0871210	+	0.00436972i
$241$		−	10.0345i		−	0.646380i	−0.946334	−	0.323190i	$-0.895245\pi$
$241$		−	10.0345i		−	0.646380i	0.946334	−	0.323190i	$-0.104755\pi$
$242$	0.297534	+	0.343447i	0.0191262	+	0.0220776i
$243$	13.6606	−	7.50922i	0.876327	−	0.481717i
$244$	18.4831	−	4.71333i	1.18326	−	0.301740i
$245$	−0.510032	+	1.23133i	−0.0325848	+	0.0786666i
$246$	9.01925	+	1.16140i	0.575046	+	0.0740479i
$247$	14.2810	+	14.2810i	0.908677	+	0.908677i
$248$	−4.50582	+	20.6810i	−0.286120	+	1.31324i
$249$	10.0748	+	4.85742i	0.638462	+	0.307827i
$250$	−0.867531	−	2.60744i	−0.0548675	−	0.164909i
$251$	1.23078	−	2.97137i	0.0776862	−	0.187551i	−0.880265	−	0.474483i	$-0.842635\pi$
$251$	1.23078	−	2.97137i	0.0776862	−	0.187551i	0.957951	+	0.286931i	$0.0926352\pi$
$252$	1.23839	+	2.11713i	0.0780110	+	0.133366i
$253$	−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	$-0.251585\pi$
$258$	4.76713	+	17.5915i	0.296788	+	1.09520i
$259$	−0.601372	−	1.45184i	−0.0373675	−	0.0902130i
$260$	0.185944	−	1.29131i	0.0115318	−	0.0800838i
$261$	27.4288	−	7.87495i	1.69780	−	0.487447i
$262$	23.3236	−	7.76008i	1.44094	−	0.479419i
$263$	−12.8553	−	12.8553i	−0.792690	−	0.792690i	0.189241	−	0.981931i	$-0.439397\pi$
$263$	−12.8553	−	12.8553i	−0.792690	−	0.792690i	−0.981931	+	0.189241i	$0.939397\pi$
$264$	16.3619	−	1.99983i	1.00701	−	0.123081i
$265$	−0.512409	+	0.512409i	−0.0314770	+	0.0314770i
$266$	1.56307	−	3.12179i	0.0958381	−	0.191409i
$267$	0.752277	−	13.2870i	0.0460386	−	0.813151i
$268$	−4.86360	−	19.0724i	−0.297092	−	1.16503i
$269$	−11.7742	+	4.87704i	−0.717886	+	0.297358i	−0.711564	−	0.702622i	$-0.752013\pi$
$269$	−11.7742	+	4.87704i	−0.717886	+	0.297358i	−0.00632279	+	0.999980i	$0.502013\pi$
$270$	0.216351	+	1.41692i	0.0131667	+	0.0862310i
$271$	−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
$276$	−4.89183	+	24.1855i	−0.294454	+	1.45580i
$277$	8.48904	+	3.51628i	0.510057	+	0.211273i	0.622843	−	0.782347i	$-0.285977\pi$
$277$	8.48904	+	3.51628i	0.510057	+	0.211273i	−0.112786	+	0.993619i	$0.535977\pi$
$278$	−2.33592	+	4.66533i	−0.140099	+	0.279808i
$279$	22.3066	+	2.53401i	1.33546	+	0.151707i
$280$	−0.221954	+	0.0399715i	−0.0132643	+	0.00238875i
$281$	−22.3102	+	22.3102i	−1.33091	+	1.33091i	−0.426362	+	0.904553i	$0.640205\pi$
$281$	−22.3102	+	22.3102i	−1.33091	+	1.33091i	−0.904553	+	0.426362i	$0.859795\pi$
$282$	−0.598323	−	0.775188i	−0.0356296	−	0.0461618i
$283$	−9.95203	−	4.12227i	−0.591587	−	0.245043i	0.0667462	−	0.997770i	$-0.478738\pi$
$283$	−9.95203	−	4.12227i	−0.591587	−	0.245043i	−0.658333	+	0.752727i	$0.728738\pi$
$284$	−4.85927	−	6.49411i	−0.288344	−	0.385355i
$285$	1.52191	−	1.35881i	0.0901504	−	0.0804892i
$286$	−1.13696	+	15.8729i	−0.0672298	+	0.938585i
$287$	1.51762			0.0895820
$288$	7.69554	−	15.1254i	0.453464	−	0.891275i
$289$	−16.3498			−0.961755
$290$	−0.187469	+	2.61723i	−0.0110086	+	0.153689i
$291$	−3.37744	+	3.01548i	−0.197989	+	0.176771i
$292$	−15.8070	+	11.8277i	−0.925034	+	0.692163i
$293$	−23.2108	−	9.61422i	−1.35599	−	0.561669i	−0.418035	−	0.908431i	$-0.637281\pi$
$293$	−23.2108	−	9.61422i	−1.35599	−	0.561669i	−0.937953	+	0.346762i	$0.887281\pi$
$294$	−10.2265	−	13.2495i	−0.596423	−	0.772726i
$295$	−0.331084	+	0.331084i	−0.0192765	+	0.0192765i
$296$	−6.20403	+	8.92939i	−0.360602	+	0.519010i
$297$	−3.86707	−	17.0505i	−0.224390	−	0.989373i
$298$	10.7532	−	21.4764i	0.622915	−	1.24409i
$299$	−22.0085	−	9.11622i	−1.27279	−	0.527205i
$300$	16.8475	+	3.40764i	0.972694	+	0.196740i
$301$	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
$306$	0.628003	−	3.36284i	0.0359005	−	0.192241i
$307$	18.3982	−	7.62077i	1.05004	−	0.434940i	0.210133	−	0.977673i	$-0.432610\pi$
$307$	18.3982	−	7.62077i	1.05004	−	0.434940i	0.839906	+	0.542733i	$0.182610\pi$
$308$	2.66559	−	0.679745i	0.151886	−	0.0387321i
$309$	−1.17275	+	20.7135i	−0.0667154	+	1.17835i
$310$	−0.924197	+	1.84582i	−0.0524909	+	0.104835i
$311$	0.938468	−	0.938468i	0.0532157	−	0.0532157i	−0.679998	−	0.733214i	$-0.738019\pi$
$311$	0.938468	−	0.938468i	0.0532157	−	0.0532157i	0.733214	+	0.679998i	$0.238019\pi$
$312$	12.9049	+	10.0939i	0.730597	+	0.571454i
$313$	11.2850	+	11.2850i	0.637867	+	0.637867i	0.950029	−	0.312162i	$-0.101053\pi$
$313$	11.2850	+	11.2850i	0.637867	+	0.637867i	−0.312162	+	0.950029i	$0.601053\pi$
$314$	18.5324	−	6.16597i	1.04584	−	0.347966i
$315$	0.0660102	+	0.229917i	0.00371926	+	0.0129543i
$316$	15.8698	+	2.28520i	0.892746	+	0.128552i
$317$	7.57388	+	18.2850i	0.425391	+	1.02699i	0.980731	+	0.195362i	$0.0625881\pi$
$317$	7.57388	+	18.2850i	0.425391	+	1.02699i	−0.555340	+	0.831623i	$0.687412\pi$
$318$	−2.38024	−	8.78346i	−0.133477	−	0.492552i
$319$		−	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
$324$	−16.7868	−	6.49636i	−0.932601	−	0.360909i
$325$	−6.35034	+	15.3311i	−0.352253	+	0.850415i
$326$	3.52913	+	10.6071i	0.195460	+	0.587474i
$327$	2.86695	+	1.38227i	0.158543	+	0.0764395i
$328$	−5.67417	−	8.83542i	−0.313304	−	0.487854i
$329$	−0.115556	−	0.115556i	−0.00637082	−	0.00637082i
$330$	1.59443	+	0.205313i	0.0877706	+	0.0113021i
$331$	−4.79305	+	11.5714i	−0.263450	+	0.636024i	−0.999147	−	0.0412860i	$-0.986855\pi$
$331$	−4.79305	+	11.5714i	−0.263450	+	0.636024i	0.735698	+	0.677310i	$0.236855\pi$
$332$	−3.19125	−	12.5144i	−0.175143	−	0.686815i
$333$	10.0885	+	5.58779i	0.552848	+	0.306209i
$334$	−2.16220	−	2.49585i	−0.118310	−	0.136567i
$335$		−	1.91959i		−	0.104879i
$336$	0.951383	−	2.66758i	0.0519022	−	0.145528i
$337$			7.03034i			0.382967i	0.981496	+	0.191484i	$0.0613299\pi$
$337$			7.03034i			0.382967i	−0.981496	+	0.191484i	$0.938670\pi$
$338$	1.94078	−	1.68133i	0.105564	−	0.0914523i
$339$	−1.80288	+	1.60967i	−0.0979188	+	0.0874251i
$340$	0.270488	+	0.160566i	0.0146693	+	0.00870792i
$341$	9.63574	−	23.2627i	0.521804	−	1.25975i
$342$	5.29289	+	25.0688i	0.286206	+	1.35557i
$343$	−3.99847	−	3.99847i	−0.215897	−	0.215897i
$344$	12.0083	−	17.2834i	0.647443	−	0.931857i
$345$	−1.04513	+	2.16770i	−0.0562679	+	0.116705i
$346$	14.2568	−	4.74344i	0.766453	−	0.255009i
$347$	−4.70857	+	11.3675i	−0.252769	+	0.610240i	−0.998426	−	0.0560914i	$-0.982136\pi$
$347$	−4.70857	+	11.3675i	−0.252769	+	0.610240i	0.745656	+	0.666331i	$0.232136\pi$
$348$	−27.3391	−	18.3951i	−1.46553	−	0.986079i
$349$	−29.2204	+	12.1035i	−1.56413	+	0.647885i	−0.985801	−	0.167917i	$-0.946296\pi$
$349$	−29.2204	+	12.1035i	−1.56413	+	0.647885i	−0.578332	+	0.815802i	$0.696296\pi$
$350$	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	$-0.130367\pi$
$354$	−1.53795	−	5.67529i	−0.0817412	−	0.301638i
$355$	−0.302712	−	0.730811i	−0.0160663	−	0.0387874i
$356$	−12.3039	+	9.20651i	−0.652108	+	0.487944i
$357$	0.0322721	−	0.570001i	0.00170802	−	0.0301677i
$358$	7.32815	+	22.0254i	0.387305	+	1.16408i
$359$	19.5707	+	19.5707i	1.03290	+	1.03290i	0.999440	+	0.0334594i	$0.0106524\pi$
$359$	19.5707	+	19.5707i	1.03290	+	1.03290i	0.0334594	+	0.999440i	$0.489348\pi$
$360$	1.09175	−	1.24394i	0.0575403	−	0.0655612i
$361$	12.3532	−	12.3532i	0.650170	−	0.650170i
$362$	6.75320	+	3.38131i	0.354940	+	0.177718i
$363$	−0.555638	−	0.0314588i	−0.0291634	−	0.00165116i
$364$	2.35115	+	1.39568i	0.123234	+	0.0731537i
$365$	−1.77883	+	0.736815i	−0.0931082	+	0.0385667i
$366$	−11.6234	+	20.2648i	−0.607563	+	1.05926i
$367$	−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
$372$	−14.3326	−	21.6006i	−0.743112	−	1.11994i
$373$	−27.1858	−	11.2607i	−1.40763	−	0.583059i	−0.455910	−	0.890026i	$-0.650686\pi$
$373$	−27.1858	−	11.2607i	−1.40763	−	0.583059i	−0.951720	+	0.306967i	$0.900686\pi$
$374$	−3.43085	−	1.71782i	−0.177405	−	0.0888262i
$375$	3.03160	+	1.46165i	0.156551	+	0.0754794i
$376$	−0.240707	+	1.10481i	−0.0124135	+	0.0569761i
$377$	22.4944	−	22.4944i	1.15852	−	1.15852i
$378$	−2.91701	−	0.717484i	−0.150035	−	0.0369034i
$379$	−11.5245	−	4.77361i	−0.591975	−	0.245204i	0.0665251	−	0.997785i	$-0.478809\pi$
$379$	−11.5245	−	4.77361i	−0.591975	−	0.245204i	−0.658500	+	0.752581i	$0.728809\pi$
$380$	−2.33182	−	0.335774i	−0.119620	−	0.0172249i
$381$	−7.92850	−	8.88016i	−0.406189	−	0.454945i
$382$	−16.4271	−	1.17665i	−0.840484	−	0.0602029i
$383$	33.6911			1.72154			0.860768	−	0.508998i	$-0.169984\pi$
$383$	33.6911			1.72154			0.860768	+	0.508998i	$0.169984\pi$
$384$	−19.0875	+	4.43487i	−0.974054	+	0.226316i
$385$	0.268286			0.0136731
$386$	−8.50902	−	0.609492i	−0.433098	−	0.0310223i
$387$	−19.5270	−	10.8155i	−0.992612	−	0.549783i
$388$	5.17478	+	0.745151i	0.262710	+	0.0378293i
$389$	34.0564	+	14.1066i	1.72673	+	0.715233i	0.999587	+	0.0287433i	$0.00915052\pi$
$389$	34.0564	+	14.1066i	1.72673	+	0.715233i	0.727139	+	0.686490i	$0.240849\pi$
$390$	0.976294	+	1.26489i	0.0494366	+	0.0640501i
$391$	4.06135	−	4.06135i	0.205391	−	0.205391i
$392$	−4.11417	+	18.8834i	−0.207797	+	0.953754i
$393$	−13.0745	+	27.1178i	−0.659521	+	1.36791i
$394$	0.795838	+	0.398474i	0.0400937	+	0.0200749i
$395$	1.44466	+	0.598399i	0.0726889	+	0.0301087i
$396$	−12.1988	+	16.0859i	−0.613014	+	0.808347i
$397$	11.3891	+	27.4958i	0.571604	+	1.37997i	0.900189	+	0.435499i	$0.143428\pi$
$397$	11.3891	+	27.4958i	0.571604	+	1.37997i	−0.328586	+	0.944474i	$0.606572\pi$
$398$	−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	$-0.574739\pi$
$401$	−9.31753			−0.465295			−0.232648	+	0.972561i	$0.574739\pi$
$402$	20.9108	+	11.9939i	1.04294	+	0.598203i
$403$	23.1215	−	9.57726i	1.15177	−	0.477077i
$404$	−22.6025	−	13.4172i	−1.12452	−	0.667532i
$405$	−1.42984	−	1.01846i	−0.0710493	−	0.0506078i
$406$	−4.91723	−	2.46205i	−0.244038	−	0.122189i
$407$	9.14621	−	9.14621i	0.453361	−	0.453361i
$408$	−3.43916	+	1.94328i	−0.170264	+	0.0962066i
$409$	17.7916	+	17.7916i	0.879736	+	0.879736i	0.993507	−	0.113771i	$-0.0362930\pi$
$409$	17.7916	+	17.7916i	0.879736	+	0.879736i	−0.113771	+	0.993507i	$0.536293\pi$
$410$	−0.323300	−	0.971708i	−0.0159667	−	0.0479892i
$411$	−26.3602	−	1.49245i	−1.30025	−	0.0736171i
$412$	19.1810	−	14.3523i	0.944981	−	0.707089i
$413$	−0.375523	−	0.906592i	−0.0184783	−	0.0446105i
$414$	−17.0834	−	24.9291i	−0.839602	−	1.22520i
$415$		−	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	$-0.708054\pi$
$419$	−9.75715	+	4.04154i	−0.476668	+	0.197442i	0.131397	+	0.991330i	$0.458054\pi$
$420$	0.154193	−	0.229165i	0.00752386	−	0.0111821i
$421$	1.73340	−	4.18479i	0.0844806	−	0.203954i	−0.875994	−	0.482322i	$-0.839793\pi$
$421$	1.73340	−	4.18479i	0.0844806	−	0.203954i	0.960474	+	0.278368i	$0.0897935\pi$
$422$	−10.0829	+	3.35470i	−0.490826	+	0.163304i
$423$	1.19165	+	0.135371i	0.0579401	+	0.00658195i
$424$	−5.99576	+	8.62963i	−0.291180	+	0.419092i
$425$	−2.82912	−	2.82912i	−0.137233	−	0.137233i
$426$	9.85238	+	1.26868i	0.477350	+	0.0614676i
$427$	−1.49198	+	3.60195i	−0.0722018	+	0.174311i
$428$	−1.92524	−	1.14285i	−0.0930599	−	0.0552419i
$429$	−12.9805	−	14.5386i	−0.626704	−	0.701928i
$430$	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	$-0.198874\pi$
$432$	6.72920	+	19.6651i	0.323759	+	0.946140i
$433$		−	21.4987i		−	1.03316i	−0.856239	−	0.516580i	$-0.827205\pi$
$433$		−	21.4987i		−	1.03316i	0.856239	−	0.516580i	$-0.172795\pi$
$434$	−2.83272	−	3.26984i	−0.135975	−	0.156957i
$435$	−2.14031	−	2.39722i	−0.102620	−	0.114938i
$436$	−0.908128	−	3.56119i	−0.0434915	−	0.170550i
$437$	−16.4619	+	39.7424i	−0.787478	+	1.90114i
$438$	3.08802	−	23.9812i	0.147551	−	1.14586i
$439$	−1.71247	−	1.71247i	−0.0817316	−	0.0817316i	0.665059	−	0.746791i	$-0.268406\pi$
$439$	−1.71247	−	1.71247i	−0.0817316	−	0.0817316i	−0.746791	+	0.665059i	$0.768406\pi$
$440$	−1.00309	−	1.56194i	−0.0478203	−	0.0744623i
$441$	20.3677	+	2.31375i	0.969890	+	0.110179i
$442$	−1.20394	−	3.61856i	−0.0572657	−	0.172117i
$443$	−1.69988	+	4.10388i	−0.0807639	+	0.194981i	−0.959103	−	0.283056i	$-0.908652\pi$
$443$	−1.69988	+	4.10388i	−0.0807639	+	0.194981i	0.878339	+	0.478037i	$0.158652\pi$
$444$	−2.55589	−	13.0692i	−0.121297	−	0.620236i
$445$	−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	$0.952142\pi$
$450$	−17.3655	+	11.9002i	−0.818620	+	0.560982i
$451$	4.78028	+	11.5406i	0.225095	+	0.543427i
$452$	2.76230	+	0.397762i	0.129928	+	0.0187091i
$453$	3.67242	+	0.207924i	0.172546	+	0.00976910i
$454$	4.59855	−	1.53000i	0.215821	−	0.0718064i
$455$	0.188555	+	0.188555i	0.00883961	+	0.00883961i
$456$	18.2273	−	23.3034i	0.853572	−	1.09128i
$457$	10.0211	−	10.0211i	0.468765	−	0.468765i	−0.432749	−	0.901514i	$-0.642456\pi$
$457$	10.0211	−	10.0211i	0.468765	−	0.468765i	0.901514	+	0.432749i	$0.142456\pi$
$458$	14.2906	−	28.5413i	0.667754	−	1.33365i
$459$	2.41984	+	3.42038i	0.112949	+	0.159650i
$460$	2.69261	−	0.686634i	0.125544	−	0.0320145i
$461$	19.1656	−	7.93865i	0.892631	−	0.369740i	0.111249	−	0.993793i	$-0.464515\pi$
$461$	19.1656	−	7.93865i	0.892631	−	0.369740i	0.781382	+	0.624053i	$0.214515\pi$
$462$	−1.67629	+	2.92253i	−0.0779882	+	0.135969i
$463$	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	$-0.180632\pi$
$467$	−2.87599	−	6.94326i	−0.133085	−	0.321296i	−0.976348	+	0.216206i	$0.930632\pi$
$468$	−19.8789	+	2.73190i	−0.918904	+	0.126282i
$469$	3.71679	+	1.53954i	0.171625	+	0.0710895i
$470$	−0.0493719	+	0.0986062i	−0.00227736	+	0.00454837i
$471$	−10.3887	+	21.5471i	−0.478685	+	0.992839i
$472$	−3.87406	+	5.57589i	−0.178318	+	0.256651i
$473$	−17.7030	+	17.7030i	−0.813987	+	0.813987i
$474$	−15.5451	+	11.9983i	−0.714008	+	0.551102i
$475$	27.6845	+	11.4673i	1.27025	+	0.526155i
$476$	−0.527829	+	0.394952i	−0.0241930	+	0.0181026i
$477$	9.74987	+	5.40021i	0.446416	+	0.247259i
$478$	−2.25657	+	31.5036i	−0.103213	+	1.44094i
$479$	12.3852			0.565894			0.282947	−	0.959136i	$-0.408688\pi$
$479$	12.3852			0.565894			0.282947	+	0.959136i	$0.408688\pi$
$480$	−1.91069	−	0.0408792i	−0.0872105	−	0.00186587i
$481$	12.8562			0.586192
$482$	1.01388	−	14.1547i	0.0461812	−	0.644729i
$483$	−3.35896	−	3.76214i	−0.152838	−	0.171183i
$484$	0.384999	+	0.514528i	0.0175000	+	0.0233876i
$485$	0.471072	+	0.195124i	0.0213903	+	0.00886014i
$486$	20.0283	−	9.21224i	0.908504	−	0.417876i
$487$	−8.82766	+	8.82766i	−0.400019	+	0.400019i	−0.878240	−	0.478220i	$-0.841282\pi$
$487$	−8.82766	+	8.82766i	−0.400019	+	0.400019i	0.478220	+	0.878240i	$0.341282\pi$
$488$	26.5485	−	4.78109i	1.20180	−	0.216430i
$489$	−12.3326	−	5.94602i	−0.557700	−	0.268889i
$490$	−0.843864	+	1.68538i	−0.0381219	+	0.0761375i
$491$	9.13225	+	3.78270i	0.412133	+	0.170711i	0.579109	−	0.815250i	$-0.303400\pi$
$491$	9.13225	+	3.78270i	0.412133	+	0.170711i	−0.166977	+	0.985961i	$0.553400\pi$
$492$	12.6052	+	2.54957i	0.568286	+	0.114943i
$493$	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
$498$	13.7207	+	7.86983i	0.614837	+	0.352655i
$499$	−4.86758	+	2.01622i	−0.217903	+	0.0902583i	−0.488965	−	0.872304i	$-0.662625\pi$
$499$	−4.86758	+	2.01622i	−0.217903	+	0.0902583i	0.271062	+	0.962562i	$0.412625\pi$
$500$	−0.960283	−	3.76571i	−0.0429452	−	0.168408i
$501$	4.03786	+	0.228613i	0.180398	+	0.0102137i
$502$	2.03637	−	4.06705i	0.0908875	−	0.181522i
$503$	0.926311	−	0.926311i	0.0413022	−	0.0413022i	−0.686154	−	0.727456i	$-0.740702\pi$
$503$	0.926311	−	0.926311i	0.0413022	−	0.0413022i	0.727456	+	0.686154i	$0.240702\pi$
$504$	1.53295	+	3.11154i	0.0682831	+	0.138599i
$505$	−1.81265	−	1.81265i	−0.0806620	−	0.0806620i
$506$	−32.1615	+	10.7006i	−1.42975	+	0.475698i
$507$	−0.177770	+	3.13984i	−0.00789505	+	0.139445i
$508$	−1.95920	+	13.6059i	−0.0869253	+	0.603662i
$509$	−1.79808	−	4.34096i	−0.0796987	−	0.192410i	0.879008	−	0.476808i	$-0.158206\pi$
$509$	−1.79808	−	4.34096i	−0.0796987	−	0.192410i	−0.958706	+	0.284398i	$0.908206\pi$
$510$	−0.371839	+	0.100765i	−0.0164653	+	0.00446195i
$511$		−	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
$516$	4.94707	+	25.2962i	0.217783	+	1.11360i
$517$	0.514755	−	1.24273i	0.0226389	−	0.0546551i
$518$	−0.701602	−	2.10873i	−0.0308266	−	0.0926522i
$519$	−7.99195	+	16.5761i	−0.350807	+	0.727608i
$520$	0.392767	−	1.80274i	0.0172240	−	0.0790552i
$521$	12.3969	+	12.3969i	0.543120	+	0.543120i	0.924442	−	0.381322i	$-0.124531\pi$
$521$	12.3969	+	12.3969i	0.543120	+	0.543120i	−0.381322	+	0.924442i	$0.624531\pi$
$522$	39.4868	−	8.33700i	1.72829	−	0.364900i
$523$	−5.71533	+	13.7980i	−0.249914	+	0.603346i	−0.998196	−	0.0600346i	$-0.980879\pi$
$523$	−5.71533	+	13.7980i	−0.249914	+	0.603346i	0.748282	+	0.663380i	$0.230879\pi$
$524$	33.6844	−	8.58975i	1.47151	−	0.375245i
$525$	−2.62070	+	2.33985i	−0.114377	+	0.102119i
$526$	−16.8347	−	19.4325i	−0.734030	−	0.847299i
$527$			6.03408i			0.262849i
$528$	23.2822	−	1.16776i	1.01323	−	0.0508203i
$529$		−	27.7390i		−	1.20604i
$530$	−0.774577	+	0.671030i	−0.0336455	+	0.0291477i
$531$	6.29971	+	3.48925i	0.273384	+	0.151421i
$532$	2.52029	−	4.24566i	0.109269	−	0.184073i
$533$	−4.75127	+	11.4706i	−0.205800	+	0.496846i
$534$	2.40367	−	18.6666i	0.104017	−	0.807784i
$535$	−0.154398	−	0.154398i	−0.00667521	−	0.00667521i
$536$	−4.93352	−	27.3949i	−0.213096	−	1.18328i
$537$	−25.6084	−	12.3468i	−1.10508	−	0.532802i
$538$	−17.1015	+	5.68989i	−0.737297	+	0.245308i
$539$	8.79818	−	21.2407i	0.378964	−	0.914901i
$540$	0.162020	+	2.02057i	0.00697223	+	0.0869514i
$541$	16.5235	−	6.84424i	0.710399	−	0.294257i	0.00192927	−	0.999998i	$-0.499386\pi$
$541$	16.5235	−	6.84424i	0.710399	−	0.294257i	0.708470	+	0.705741i	$0.249386\pi$
$542$	−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
$546$	−3.23212	+	0.875876i	−0.138322	+	0.0374841i
$547$	2.24912	+	5.42985i	0.0961654	+	0.232164i	0.964641	−	0.263569i	$-0.0848996\pi$
$547$	2.24912	+	5.42985i	0.0961654	+	0.232164i	−0.868475	+	0.495733i	$0.834900\pi$
$548$	18.2649	+	24.4099i	0.780238	+	1.04274i
$549$	−7.89566	−	27.5010i	−0.336978	−	1.17371i
$550$	7.45398	+	22.4036i	0.317839	+	0.955293i
$551$	−40.6199	−	40.6199i	−1.73047	−	1.73047i
$552$	−9.34411	+	33.6218i	−0.397712	+	1.43104i
$553$	−2.31728	+	2.31728i	−0.0985409	+	0.0985409i
$554$	11.6194	+	5.81779i	0.493659	+	0.247174i
$555$	0.0734137	−	1.29666i	0.00311624	−	0.0550402i
$556$	−3.76643	+	6.34489i	−0.159732	+	0.269083i
$557$	−17.5896	+	7.28584i	−0.745294	+	0.308711i	−0.722820	−	0.691036i	$-0.757154\pi$
$557$	−17.5896	+	7.28584i	−0.745294	+	0.308711i	−0.0224743	+	0.999747i	$0.507154\pi$
$558$	31.2097	+	5.82833i	1.32121	+	0.246733i
$559$	−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	−0.999983	−	0.00584493i	$-0.998139\pi$
$563$	−7.04761	−	17.0144i	−0.297021	−	0.717073i	0.702962	−	0.711228i	$-0.251861\pi$
$564$	−0.765669	−	1.15393i	−0.0322405	−	0.0485894i
$565$	0.251458	+	0.104157i	0.0105789	+	0.00438194i
$566$	−13.6218	−	6.82042i	−0.572568	−	0.286684i
$567$	3.11874	−	1.95168i	0.130975	−	0.0819630i
$568$	−6.19832	−	9.65157i	−0.260076	−	0.404971i
$569$	15.9856	−	15.9856i	0.670152	−	0.670152i	−0.287599	−	0.957751i	$-0.592857\pi$
$569$	15.9856	−	15.9856i	0.670152	−	0.670152i	0.957751	+	0.287599i	$0.0928571\pi$
$570$	2.28411	−	1.76297i	0.0956707	−	0.0738427i
$571$	−21.2300	−	8.79375i	−0.888447	−	0.368007i	−0.108680	−	0.994077i	$-0.534663\pi$
$571$	−21.2300	−	8.79375i	−0.888447	−	0.368007i	−0.779767	+	0.626070i	$0.784663\pi$
$572$	−3.20759	+	22.2754i	−0.134116	+	0.931383i
$573$	15.0462	−	13.4337i	0.628562	−	0.561201i
$574$	2.14075	+	0.153339i	0.0893531	+	0.00640026i
$575$	−35.3446			−1.47397
$576$	12.3836	−	20.5584i	0.515983	−	0.856599i
$577$	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
$579$	7.79371	−	6.95848i	0.323896	−	0.289185i
$580$	−0.528889	+	3.67293i	−0.0219609	+	0.152510i
$581$	2.43877	+	1.01017i	0.101177	+	0.0419090i
$582$	−5.06889	+	3.91239i	−0.210112	+	0.162174i
$583$	8.83917	−	8.83917i	0.366081	−	0.366081i
$584$	−23.4924	+	15.0870i	−0.972122	+	0.624304i
$585$	−1.94444	−	0.220887i	−0.0803927	−	0.00913255i
$586$	−31.7697	−	15.9070i	−1.31239	−	0.657113i
$587$	−14.4081	−	5.96803i	−0.594686	−	0.246327i	0.0649791	−	0.997887i	$-0.479302\pi$
$587$	−14.4081	−	5.96803i	−0.594686	−	0.246327i	−0.659665	+	0.751560i	$0.729302\pi$
$588$	−13.0868	−	19.7230i	−0.539690	−	0.813363i
$589$	−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	$-0.638852\pi$
$593$	−20.5777			−0.845025			−0.422512	+	0.906357i	$0.638852\pi$
$594$	−3.73211	−	24.4422i	−0.153130	−	1.00288i
$595$	−0.0593989	+	0.0246038i	−0.00243512	+	0.00100866i
$596$	17.3384	−	29.2081i	0.710208	−	1.19641i
$597$	1.88407	−	33.2772i	0.0771100	−	1.36195i
$598$	−30.1241	−	15.0831i	−1.23187	−	0.616793i
$599$	−14.6016	+	14.6016i	−0.596604	+	0.596604i	−0.939407	−	0.342803i	$-0.888624\pi$
$599$	−14.6016	+	14.6016i	−0.596604	+	0.596604i	0.342803	+	0.939407i	$0.388624\pi$
$600$	23.4208	+	6.50908i	0.956152	+	0.265732i
$601$	−22.7394	−	22.7394i	−0.927561	−	0.927561i	0.0699869	−	0.997548i	$-0.477704\pi$
$601$	−22.7394	−	22.7394i	−0.927561	−	0.927561i	−0.997548	+	0.0699869i	$0.977704\pi$
$602$	1.35799	+	4.08157i	0.0553477	+	0.166353i
$603$	−28.3777	+	8.14738i	−1.15563	+	0.331787i
$604$	−2.54461	−	3.40072i	−0.103539	−	0.138373i
$605$	0.0239839	+	0.0579021i	0.000975082	+	0.00235406i
$606$	31.0716	−	8.42013i	1.26220	−	0.342044i
$607$			40.2640i			1.63426i	0.576451	+	0.817132i	$0.304437\pi$
$607$			40.2640i			1.63426i	−0.576451	+	0.817132i	$0.695563\pi$
$608$	−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
$612$	1.22564	−	4.68017i	0.0495436	−	0.189185i
$613$	−6.76173	+	16.3243i	−0.273104	+	0.659331i	−0.999613	−	0.0278260i	$-0.991142\pi$
$613$	−6.76173	+	16.3243i	−0.273104	+	0.659331i	0.726509	+	0.687157i	$0.241142\pi$
$614$	26.7224	−	8.89091i	1.07843	−	0.358808i
$615$	1.12978	+	0.544710i	0.0455571	+	0.0219648i
$616$	3.82876	−	0.689517i	0.154265	−	0.0277814i
$617$	−5.19834	−	5.19834i	−0.209277	−	0.209277i	0.594683	−	0.803960i	$-0.297278\pi$
$617$	−5.19834	−	5.19834i	−0.209277	−	0.209277i	−0.803960	+	0.594683i	$0.797278\pi$
$618$	−3.74717	+	29.1000i	−0.150733	+	1.17057i
$619$	8.07299	−	19.4899i	0.324481	−	0.783366i	−0.674502	−	0.738273i	$-0.735642\pi$
$619$	8.07299	−	19.4899i	0.324481	−	0.783366i	0.998983	−	0.0450932i	$-0.0143585\pi$
$620$	−1.49017	+	2.51033i	−0.0598468	+	0.100817i
$621$	36.4814	+	6.24994i	1.46395	+	0.250801i
$622$	1.41863	−	1.22898i	0.0568817	−	0.0492776i
$623$		−	3.14092i		−	0.125838i
$624$	17.1838	+	15.5423i	0.687902	+	0.622192i
$625$			24.4308i			0.977230i
$626$	14.7784	+	17.0589i	0.590664	+	0.681810i
$627$	−26.2534	+	23.4399i	−1.04846	+	0.936098i
$628$	26.7648	−	6.82521i	1.06803	−	0.272356i
$629$	−1.18621	+	2.86376i	−0.0472973	+	0.114186i
$630$	0.0698833	+	0.330990i	0.00278422	+	0.0131870i
$631$	−22.5327	−	22.5327i	−0.897012	−	0.897012i	0.0981592	−	0.995171i	$-0.468705\pi$
$631$	−22.5327	−	22.5327i	−0.897012	−	0.897012i	−0.995171	+	0.0981592i	$0.968705\pi$
$632$	22.1550	+	4.82698i	0.881280	+	0.192007i
$633$	5.65214	−	11.7231i	0.224652	−	0.465950i
$634$	8.83620	+	26.5580i	0.350930	+	1.05475i
$635$	−0.513033	+	1.23857i	−0.0203591	+	0.0491512i
$636$	−2.47009	−	12.6304i	−0.0979453	−	0.500830i
$637$	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	$0.693096\pi$
$642$	2.64662	−	0.717210i	0.104454	−	0.0283060i
$643$	7.11746	+	17.1831i	0.280685	+	0.677634i	0.999852	−	0.0172036i	$-0.00547635\pi$
$643$	7.11746	+	17.1831i	0.280685	+	0.677634i	−0.719167	+	0.694837i	$0.755476\pi$
$644$	−0.830027	+	5.76422i	−0.0327077	+	0.227142i
$645$	−0.142097	+	2.50977i	−0.00559506	+	0.0988220i
$646$	−6.53431	+	2.17405i	−0.257089	+	0.0855369i
$647$	31.4452	+	31.4452i	1.23624	+	1.23624i	0.961526	+	0.274714i	$0.0885833\pi$
$647$	31.4452	+	31.4452i	1.23624	+	1.23624i	0.274714	+	0.961526i	$0.411417\pi$
$648$	−23.0231	−	10.8599i	−0.904432	−	0.426617i
$649$	5.71128	−	5.71128i	0.224187	−	0.224187i
$650$	−10.5068	+	20.9844i	−0.412112	+	0.823075i
$651$	5.29004	+	0.299509i	0.207333	+	0.0117387i
$652$	3.90645	+	15.3190i	0.152988	+	0.599938i
$653$	−5.38622	+	2.23104i	−0.210779	+	0.0873075i	−0.485575	−	0.874195i	$-0.661390\pi$
$653$	−5.38622	+	2.23104i	−0.210779	+	0.0873075i	0.274796	+	0.961503i	$0.411390\pi$
$654$	3.90446	+	2.23950i	0.152676	+	0.0875714i
$655$	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	$-0.241990\pi$
$659$	−7.05977	−	17.0438i	−0.275010	−	0.663932i	−0.999683	+	0.0251602i	$0.991990\pi$
$660$	2.22836	+	0.450715i	0.0867388	+	0.0175441i
$661$	25.7857	+	10.6808i	1.00295	+	0.415435i	0.822878	−	0.568219i	$-0.192367\pi$
$661$	25.7857	+	10.6808i	1.00295	+	0.415435i	0.180071	+	0.983654i	$0.442367\pi$
$662$	−7.93025	+	15.8384i	−0.308218	+	0.615576i
$663$	4.20720	+	2.02845i	0.163394	+	0.0787786i
$664$	−3.23713	−	17.9752i	−0.125625	−	0.697574i
$665$	0.340489	−	0.340489i	0.0132036	−	0.0132036i
$666$	13.6663	+	8.90147i	0.529558	+	0.344925i
$667$	62.5996	+	25.9296i	2.42387	+	1.00400i
$668$	−2.79782	−	3.73911i	−0.108251	−	0.144671i
$669$	7.44253	+	8.33586i	0.287745	+	0.322283i
$670$	0.193955	−	2.70778i	0.00749314	−	0.104611i
$671$	−32.0904			−1.23883
$672$	1.61155	−	3.66675i	0.0621669	−	0.141448i
$673$	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
$675$	4.35369	−	25.4128i	0.167574	−	0.978140i
$676$	2.90754	−	2.17559i	0.111828	−	0.0836764i
$677$	−22.9138	−	9.49122i	−0.880650	−	0.364777i	−0.103901	−	0.994588i	$-0.533133\pi$
$677$	−22.9138	−	9.49122i	−0.880650	−	0.364777i	−0.776749	+	0.629810i	$0.783133\pi$
$678$	−2.70578	+	2.08843i	−0.103915	+	0.0802058i
$679$	−0.755613	+	0.755613i	−0.0289978	+	0.0289978i
$680$	0.365327	+	0.253824i	0.0140096	+	0.00973372i
$681$	−2.57781	+	5.34661i	−0.0987817	+	0.204883i
$682$	15.9426	−	31.8408i	0.610475	−	1.21925i
$683$	34.5480	+	14.3103i	1.32194	+	0.547567i	0.928346	−	0.371717i	$-0.121231\pi$
$683$	34.5480	+	14.3103i	1.32194	+	0.547567i	0.393597	+	0.919283i	$0.371231\pi$
$684$	4.93319	+	35.8969i	0.188625	+	1.37255i
$685$	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
$690$	−1.69328	+	2.95215i	−0.0644622	+	0.112387i
$691$	−29.9717	+	12.4147i	−1.14018	+	0.472277i	−0.871228	−	0.490878i	$-0.836676\pi$
$691$	−29.9717	+	12.4147i	−1.14018	+	0.472277i	−0.268948	+	0.963155i	$0.586676\pi$
$692$	20.5900	−	5.25059i	0.782713	−	0.199597i
$693$	−1.13869	−	3.96612i	−0.0432554	−	0.150660i
$694$	−7.79048	+	15.5592i	−0.295723	+	0.590621i
$695$	−0.508841	+	0.508841i	−0.0193014	+	0.0193014i
$696$	−36.7059	−	28.7104i	−1.39133	−	1.08827i
$697$	−2.11673	−	2.11673i	−0.0801767	−	0.0801767i
$698$	−42.4412	+	14.1208i	−1.60642	+	0.534479i
$699$	37.9610	+	2.14926i	1.43582	+	0.0812924i
$700$	4.01534	+	0.578195i	0.151766	+	0.0218537i
$701$	−6.56454	−	15.8482i	−0.247939	−	0.598578i	0.750090	−	0.661336i	$-0.230010\pi$
$701$	−6.56454	−	15.8482i	−0.247939	−	0.598578i	−0.998029	+	0.0627582i	$0.980010\pi$
$702$	14.5554	−	19.8014i	0.549357	−	0.747354i
$703$		−	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
$708$	−1.59600	−	8.16095i	−0.0599815	−	0.306707i
$709$	−11.6861	+	28.2128i	−0.438882	+	1.05955i	0.537454	+	0.843293i	$0.319386\pi$
$709$	−11.6861	+	28.2128i	−0.438882	+	1.05955i	−0.976336	+	0.216261i	$0.930614\pi$
$710$	−0.353164	−	1.06147i	−0.0132540	−	0.0398362i
$711$	2.71463	−	23.8965i	0.101806	−	0.896190i
$712$	−18.2862	+	11.7435i	−0.685303	+	0.440107i
$713$	37.6923	+	37.6923i	1.41159	+	1.41159i
$714$	0.103116	−	0.800783i	0.00385901	−	0.0299685i
$715$	−0.839935	+	2.02778i	−0.0314118	+	0.0758348i
$716$	8.11164	+	31.8095i	0.303146	+	1.18878i
$717$	−25.7629	−	28.8552i	−0.962133	−	1.07762i
$718$	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	$-0.208276\pi$
$720$	1.66571	−	1.64439i	0.0620773	−	0.0612826i
$721$			4.89649i			0.182355i
$722$	18.6736	−	16.1773i	0.694960	−	0.602056i
$723$	11.5754	+	12.9648i	0.430493	+	0.482165i
$724$	9.18441	+	5.45202i	0.341336	+	0.202623i
$725$	18.0625	−	43.6067i	0.670825	−	1.61951i
$726$	−0.780604	−	0.100517i	−0.0289709	−	0.00373055i
$727$	−11.8938	−	11.8938i	−0.441118	−	0.441118i	0.451270	−	0.892388i	$-0.350971\pi$
$727$	−11.8938	−	11.8938i	−0.441118	−	0.441118i	−0.892388	+	0.451270i	$0.850971\pi$
$728$	3.17552	+	2.20631i	0.117693	+	0.0817713i
$729$	−8.98742	+	25.4603i	−0.332867	+	0.942974i
$730$	−2.58366	+	0.859619i	−0.0956257	+	0.0318159i
$731$	2.29598	−	5.54299i	0.0849199	−	0.205015i
$732$	−18.4435	+	27.4110i	−0.681690	+	1.01314i
$733$	−14.2498	+	5.90246i	−0.526328	+	0.218012i	−0.629994	−	0.776600i	$-0.716943\pi$
$733$	−14.2498	+	5.90246i	−0.526328	+	0.218012i	0.103666	+	0.994612i	$0.466943\pi$
$734$	−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
$738$	−12.9928	+	8.90366i	−0.478270	+	0.327748i
$739$	−1.65560	−	3.99698i	−0.0609024	−	0.147031i	0.890499	−	0.454986i	$-0.150356\pi$
$739$	−1.65560	−	3.99698i	−0.0609024	−	0.147031i	−0.951401	+	0.307954i	$0.900356\pi$
$740$	−1.20073	+	0.898452i	−0.0441396	+	0.0330278i
$741$	−34.9252	−	1.97738i	−1.28301	−	0.0726408i
$742$	−0.678049	−	2.03794i	−0.0248920	−	0.0748151i
$743$	15.0005	+	15.0005i	0.550313	+	0.550313i	0.926531	−	0.376218i	$-0.122776\pi$
$743$	15.0005	+	15.0005i	0.550313	+	0.550313i	−0.376218	+	0.926531i	$0.622776\pi$
$744$	−18.0351	−	31.9179i	−0.661198	−	1.17017i
$745$	2.34240	−	2.34240i	0.0858188	−	0.0858188i
$746$	−37.2106	−	18.6313i	−1.36238	−	0.682139i
$747$	−18.6201	+	5.34591i	−0.681273	+	0.195597i
$748$	−4.66598	−	2.76980i	−0.170605	−	0.101274i
$749$	0.422781	−	0.175122i	0.0154481	−	0.00639880i
$750$	4.12869	+	2.36812i	0.150759	+	0.0864714i
$751$	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
$756$	−4.04224	−	1.30682i	−0.147015	−	0.0475285i
$757$	−19.8634	−	8.22770i	−0.721948	−	0.299041i	−0.00870961	−	0.999962i	$-0.502772\pi$
$757$	−19.8634	−	8.22770i	−0.721948	−	0.299041i	−0.713239	+	0.700921i	$0.752772\pi$
$758$	−15.7742	−	7.89809i	−0.572943	−	0.286872i
$759$	18.0287	−	37.3933i	0.654402	−	1.35729i
$760$	−3.25534	−	0.709249i	−0.118084	−	0.0257272i
$761$	−8.07215	+	8.07215i	−0.292615	+	0.292615i	−0.838112	−	0.545497i	$-0.816341\pi$
$761$	−8.07215	+	8.07215i	−0.292615	+	0.292615i	0.545497	+	0.838112i	$0.316341\pi$
$762$	−10.2867	−	13.3274i	−0.372647	−	0.482802i
$763$	0.693996	+	0.287463i	0.0251243	+	0.0104068i
$764$	−23.0532	−	3.31958i	−0.834035	−	0.120098i
$765$	0.228612	−	0.412751i	0.00826549	−	0.0149230i
$766$	47.5247	+	3.40414i	1.71714	+	0.122997i
$767$	8.02795			0.289873
$768$	−27.3729	+	4.32723i	−0.987734	+	0.156145i
$769$	−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
$771$	26.2828	+	29.4376i	0.946554	+	1.06017i
$772$	−11.9412	−	1.71950i	−0.429775	−	0.0618861i
$773$	29.1506	+	12.0746i	1.04848	+	0.434293i	0.839347	−	0.543595i	$-0.182937\pi$
$773$	29.1506	+	12.0746i	1.04848	+	0.434293i	0.209128	+	0.977888i	$0.432937\pi$
$774$	−26.4520	−	17.2293i	−0.950796	−	0.619296i
$775$	26.2564	−	26.2564i	0.943157	−	0.943157i
$776$	7.22426	+	1.57397i	0.259336	+	0.0565021i
$777$	2.45176	+	1.18209i	0.0879565	+	0.0424072i
$778$	46.6146	+	23.3398i	1.67121	+	0.836773i
$779$	20.7133	+	8.57973i	0.742131	+	0.307401i
$780$	1.24936	+	1.88290i	0.0447341	+	0.0674185i
$781$	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
$786$	−21.1829	+	36.9313i	−0.755567	+	1.31729i
$787$	−34.5666	+	14.3179i	−1.23217	+	0.510380i	−0.901258	−	0.433283i	$-0.857355\pi$
$787$	−34.5666	+	14.3179i	−1.23217	+	0.510380i	−0.330908	+	0.943663i	$0.607355\pi$
$788$	1.08235	+	0.642499i	0.0385570	+	0.0228881i
$789$	31.4385	+	1.77997i	1.11924	+	0.0633686i
$790$	1.97738	+	0.990069i	0.0703520	+	0.0352251i
$791$	−0.403347	+	0.403347i	−0.0143414	+	0.0143414i
$792$	−18.8330	+	21.4582i	−0.669200	+	0.762484i
$793$	−22.5536	−	22.5536i	−0.800902	−	0.800902i
$794$	13.2873	+	39.9363i	0.471549	+	1.41729i
$795$	0.0709493	−	1.25313i	0.00251631	−	0.0444440i
$796$	−30.8152	+	23.0577i	−1.09221	+	0.817257i
$797$	0.403632	+	0.974454i	0.0142974	+	0.0345169i	0.930867	−	0.365358i	$-0.119053\pi$
$797$	0.403632	+	0.974454i	0.0142974	+	0.0345169i	−0.916570	+	0.399875i	$0.869053\pi$
$798$	1.58164	+	5.83649i	0.0559893	+	0.206610i
$799$			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
$804$	28.2849	+	19.0315i	0.997533	+	0.671188i
$805$	−0.217350	+	0.524729i	−0.00766058	+	0.0184943i
$806$	33.5829	−	11.1735i	1.18291	−	0.393569i
$807$	9.58656	−	19.8834i	0.337463	−	0.699930i
$808$	−30.5274	−	21.2101i	−1.07395	−	0.746169i
$809$	−34.9129	−	34.9129i	−1.22747	−	1.22747i	−0.964917	−	0.262555i	$-0.915435\pi$
$809$	−34.9129	−	34.9129i	−1.22747	−	1.22747i	−0.262555	−	0.964917i	$-0.584565\pi$
$810$	−1.91403	−	1.58111i	−0.0672520	−	0.0555547i
$811$	13.0178	−	31.4278i	0.457117	−	1.10358i	−0.512442	−	0.858722i	$-0.671259\pi$
$811$	13.0178	−	31.4278i	0.457117	−	1.10358i	0.969559	−	0.244857i	$-0.0787411\pi$
$812$	−6.68747	−	3.96980i	−0.234684	−	0.139313i
$813$	15.0684	−	13.4535i	0.528471	−	0.471836i
$814$	13.8258	−	11.9775i	0.484593	−	0.419811i
$815$			1.54182i			0.0540076i
$816$	−5.04762	+	2.39370i	−0.176702	+	0.0837961i
$817$			44.9348i			1.57207i
$818$	23.2991	+	26.8944i	0.814635	+	0.940342i
$819$	1.98716	−	3.58774i	0.0694370	−	0.125366i
$820$	−0.357866	−	1.40336i	−0.0124972	−	0.0490074i
$821$	−3.16275	+	7.63556i	−0.110381	+	0.266483i	−0.969411	−	0.245441i	$-0.921067\pi$
$821$	−3.16275	+	7.63556i	−0.110381	+	0.266483i	0.859031	+	0.511924i	$0.171067\pi$
$822$	−37.0329	−	4.76867i	−1.29167	−	0.166327i
$823$	−11.3941	−	11.3941i	−0.397173	−	0.397173i	0.480062	−	0.877235i	$-0.340614\pi$
$823$	−11.3941	−	11.3941i	−0.397173	−	0.397173i	−0.877235	+	0.480062i	$0.840614\pi$
$824$	28.5069	−	18.3074i	0.993085	−	0.637767i
$825$	−26.0481	−	12.5588i	−0.906878	−	0.437240i
$826$	−0.438110	−	1.31678i	−0.0152438	−	0.0458167i
$827$	8.32108	−	20.0889i	0.289352	−	0.698558i	−0.710635	−	0.703561i	$-0.751592\pi$
$827$	8.32108	−	20.0889i	0.289352	−	0.698558i	0.999987	+	0.00500239i	$0.00159232\pi$
$828$	−21.5790	−	36.8911i	−0.749921	−	1.28205i
$829$	−7.00953	+	2.90344i	−0.243451	+	0.100841i	−0.501073	−	0.865405i	$-0.667061\pi$
$829$	−7.00953	+	2.90344i	−0.243451	+	0.100841i	0.257622	+	0.966246i	$0.417061\pi$
$830$	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
$834$	−2.36366	−	8.72230i	−0.0818470	−	0.302029i
$835$	−0.174292	−	0.420779i	−0.00603163	−	0.0145617i
$836$	40.2245	+	5.79218i	1.39119	+	0.200327i
$837$	−31.7437	+	22.4579i	−1.09722	+	0.776260i
$838$	−14.1718	+	4.71514i	−0.489556	+	0.162882i
$839$	−4.15538	−	4.15538i	−0.143460	−	0.143460i	0.631729	−	0.775189i	$-0.282345\pi$
$839$	−4.15538	−	4.15538i	−0.143460	−	0.143460i	−0.775189	+	0.631729i	$0.782345\pi$
$840$	0.240660	−	0.307680i	0.00830355	−	0.0106160i
$841$	−43.4756	+	43.4756i	−1.49916	+	1.49916i
$842$	2.86796	−	5.72792i	0.0988363	−	0.197397i
$843$	3.08912	−	54.5612i	0.106395	−	1.87919i
$844$	−14.5618	+	3.71337i	−0.501239	+	0.127819i
$845$	0.327198	−	0.135530i	0.0112560	−	0.00466237i
$846$	1.66727	+	0.311358i	0.0573218	+	0.0107047i
$847$	−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
$852$	13.7696	+	2.78508i	0.471738	+	0.0954152i
$853$	−24.9124	−	10.3191i	−0.852986	−	0.353318i	−0.0870255	−	0.996206i	$-0.527736\pi$
$853$	−24.9124	−	10.3191i	−0.852986	−	0.353318i	−0.765960	+	0.642888i	$0.777736\pi$
$854$	−2.46852	+	4.93016i	−0.0844711	+	0.168707i
$855$	−0.398872	+	3.51122i	−0.0136411	+	0.120081i
$856$	−2.60027	−	1.80663i	−0.0888753	−	0.0617495i
$857$	9.13231	−	9.13231i	0.311954	−	0.311954i	−0.533712	−	0.845666i	$-0.679203\pi$
$857$	9.13231	−	9.13231i	0.311954	−	0.311954i	0.845666	+	0.533712i	$0.179203\pi$
$858$	−16.8413	−	21.8196i	−0.574953	−	0.744910i
$859$	−20.1392	−	8.34191i	−0.687139	−	0.284622i	0.0116685	−	0.999932i	$-0.496286\pi$
$859$	−20.1392	−	8.34191i	−0.687139	−	0.284622i	−0.698808	+	0.715310i	$0.746286\pi$
$860$	2.32408	−	1.73901i	0.0792505	−	0.0592997i
$861$	−1.96079	+	1.75065i	−0.0668234	+	0.0596621i
$862$	2.45389	−	34.2585i	0.0835800	−	1.16685i
$863$	14.2708			0.485784			0.242892	−	0.970053i	$-0.421904\pi$
$863$	14.2708			0.485784			0.242892	+	0.970053i	$0.421904\pi$
$864$	7.50525	+	28.4196i	0.255334	+	0.966853i
$865$	2.07233			0.0704614
$866$	2.17222	−	30.3260i	0.0738149	−	1.03052i
$867$	21.1243	−	18.8604i	0.717418	−	0.640534i
$868$	−3.66545	−	4.89865i	−0.124413	−	0.166271i
$869$	−24.9208	−	10.3225i	−0.845380	−	0.350168i
$870$	−2.77691	−	3.59777i	−0.0941461	−	0.121976i
$871$	−23.2726	+	23.2726i	−0.788563	+	0.788563i
$872$	−0.921184	−	5.11517i	−0.0311952	−	0.173221i
$873$	0.885178	−	7.79212i	0.0299587	−	0.263723i
$874$	−27.2367	+	54.3974i	−0.921294	+	1.84002i
$875$	0.733853	+	0.303972i	0.0248088	+	0.0102761i
$876$	6.77901	−	33.5158i	0.229042	−	1.13239i
$877$	−10.3328	−	24.9457i	−0.348915	−	0.842355i	−0.996749	−	0.0805736i	$-0.974325\pi$
$877$	−10.3328	−	24.9457i	−0.348915	−	0.842355i	0.647834	−	0.761782i	$-0.275675\pi$
$878$	−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	$-0.516440\pi$
$881$	−3.06465			−0.103251			−0.0516254	+	0.998667i	$0.516440\pi$
$882$	28.4969	+	5.32172i	0.959539	+	0.179192i
$883$	0.883537	−	0.365973i	0.0297334	−	0.0123160i	−0.367767	−	0.929918i	$-0.619878\pi$
$883$	0.883537	−	0.365973i	0.0297334	−	0.0123160i	0.397501	+	0.917602i	$0.369878\pi$
$884$	−1.33266	−	5.22598i	−0.0448223	−	0.175769i
$885$	0.0458427	−	0.809691i	0.00154099	−	0.0272175i
$886$	−2.81251	+	5.61718i	−0.0944881	+	0.188713i
$887$	5.90816	−	5.90816i	0.198377	−	0.198377i	−0.600927	−	0.799304i	$-0.705202\pi$
$887$	5.90816	−	5.90816i	0.198377	−	0.198377i	0.799304	+	0.600927i	$0.205202\pi$
$888$	−2.28483	−	18.6936i	−0.0766737	−	0.627317i
$889$	−1.98671	−	1.98671i	−0.0666320	−	0.0666320i
$890$	−2.01109	+	0.669116i	−0.0674119	+	0.0224288i
$891$	24.6651	+	17.5687i	0.826311	+	0.588574i
$892$	1.83911	−	12.7719i	0.0615780	−	0.427635i
$893$	−0.923891	−	2.23047i	−0.0309168	−	0.0746398i
$894$	10.8809	+	40.1522i	0.363912	+	1.34289i
$895$			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
$900$	−25.6982	+	15.0319i	−0.856608	+	0.501062i
$901$	−1.14639	+	2.76763i	−0.0381918	+	0.0922031i
$902$	5.57701	+	16.7622i	0.185694	+	0.558120i
$903$	−4.74554	−	2.28800i	−0.157922	−	0.0761400i
$904$	3.85631	+	0.840185i	0.128259	+	0.0279441i
$905$	0.736562	+	0.736562i	0.0244841	+	0.0244841i
$906$	5.15931	+	0.664357i	0.171407	+	0.0220718i
$907$	−1.83330	+	4.42597i	−0.0608736	+	0.146962i	−0.951390	−	0.307990i	$-0.900344\pi$
$907$	−1.83330	+	4.42597i	−0.0608736	+	0.146962i	0.890516	+	0.454952i	$0.150344\pi$
$908$	6.64130	−	1.69358i	0.220399	−	0.0562034i
$909$	−19.1033	+	34.4903i	−0.633617	+	1.14397i
$910$	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	$0.837689\pi$
$912$	28.0660	−	31.0301i	0.929358	−	1.02751i
$913$			21.7274i			0.719073i
$914$	15.1482	−	13.1232i	0.501059	−	0.434076i
$915$	−2.40352	+	2.14594i	−0.0794580	+	0.0709427i
$916$	23.0421	−	38.8164i	0.761331	−	1.28253i
$917$	−2.71903	+	6.56433i	−0.0897904	+	0.216773i
$918$	3.06783	+	5.06929i	0.101254	+	0.167311i
$919$	14.4648	+	14.4648i	0.477149	+	0.477149i	0.904219	−	0.427070i	$-0.140454\pi$
$919$	14.4648	+	14.4648i	0.477149	+	0.477149i	−0.427070	+	0.904219i	$0.640454\pi$
$920$	3.86757	−	0.696506i	0.127510	−	0.0229631i
$921$	−14.9798	+	31.0695i	−0.493600	+	1.02377i
$922$	27.8371	−	9.26177i	0.916766	−	0.305020i
$923$	−5.19016	+	12.5302i	−0.170836	+	0.412435i
$924$	−2.65987	+	3.95315i	−0.0875033	+	0.130049i
$925$	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	$-0.166330\pi$
$930$	−0.935174	−	3.45094i	−0.0306656	−	0.113161i
$931$	−15.7911	−	38.1231i	−0.517533	−	1.24943i
$932$	−26.3030	−	35.1524i	−0.861584	−	1.15146i
$933$	−0.129942	+	2.29509i	−0.00425413	+	0.0751380i
$934$	−3.35533	−	10.0848i	−0.109790	−	0.329983i
$935$	−0.374197	−	0.374197i	−0.0122376	−	0.0122376i
$936$	−28.3172	+	1.84505i	−0.925578	+	0.0603074i
$937$	17.7838	−	17.7838i	0.580972	−	0.580972i	−0.354199	−	0.935170i	$-0.615246\pi$
$937$	17.7838	−	17.7838i	0.580972	−	0.580972i	0.935170	+	0.354199i	$0.115246\pi$
$938$	5.08734	+	2.54722i	0.166108	+	0.0831697i
$939$	−27.5983	−	1.56255i	−0.900637	−	0.0509919i
$940$	−0.0796072	+	0.134105i	−0.00259650	+	0.00437404i
$941$	11.2523	−	4.66086i	0.366815	−	0.151940i	−0.191660	−	0.981461i	$-0.561387\pi$
$941$	11.2523	−	4.66086i	0.366815	−	0.151940i	0.558474	+	0.829522i	$0.311387\pi$
$942$	−16.8314	+	29.3447i	−0.548396	+	0.956102i
$943$	−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	−0.948434	−	0.316975i	$-0.897333\pi$
$947$	−15.4459	−	37.2898i	−0.501925	−	1.21175i	0.446509	−	0.894779i	$-0.352667\pi$
$948$	−23.1402	+	15.3542i	−0.751557	+	0.498680i
$949$	30.4990	+	12.6331i	0.990040	+	0.410088i
$950$	37.8931	+	18.9730i	1.22941	+	0.615565i
$951$	−30.8783	−	14.8876i	−1.00130	−	0.482763i
$952$	−0.784461	+	0.503787i	−0.0254245	+	0.0163278i
$953$	35.9782	−	35.9782i	1.16545	−	1.16545i	0.182184	−	0.983264i	$-0.441683\pi$
$953$	35.9782	−	35.9782i	1.16545	−	1.16545i	0.983264	−	0.182184i	$-0.0583167\pi$
$954$	13.2075	+	8.60265i	0.427609	+	0.278521i
$955$	−2.09858	−	0.869261i	−0.0679085	−	0.0281286i
$956$	−6.36622	+	44.2109i	−0.205898	+	1.42988i
$957$	36.9209	+	41.3526i	1.19348	+	1.33674i
$958$	17.4705	+	1.25140i	0.564448	+	0.0404307i
$959$	−6.23131			−0.201219
$960$	−2.69108	−	0.250719i	−0.0868543	−	0.00809193i
$961$	−25.0007			−0.806476
$962$	18.1349	+	1.29898i	0.584694	+	0.0418809i
$963$	−1.62718	+	2.93781i	−0.0524352	+	0.0946697i
$964$	2.86037	−	19.8642i	0.0921263	−	0.639782i
$965$	−1.08704	−	0.450266i	−0.0349930	−	0.0144946i
$966$	−4.35803	−	5.64627i	−0.140217	−	0.181666i
$967$	23.1751	−	23.1751i	0.745262	−	0.745262i	−0.228324	−	0.973585i	$-0.573324\pi$
$967$	23.1751	−	23.1751i	0.745262	−	0.745262i	0.973585	+	0.228324i	$0.0733244\pi$
$968$	0.491092	+	0.764694i	0.0157843	+	0.0245782i
$969$	3.66293	−	7.59726i	0.117670	−	0.244059i
$970$	0.644778	+	0.322839i	0.0207026	+	0.0103657i
$971$	33.6938	+	13.9564i	1.08128	+	0.447883i	0.850960	−	0.525231i	$-0.176021\pi$
$971$	33.6938	+	13.9564i	1.08128	+	0.447883i	0.230325	+	0.973114i	$0.426021\pi$
$972$	29.1828	−	10.9711i	0.936038	−	0.351899i
$973$	−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	$-0.735471\pi$
$977$	−42.1411			−1.34821			−0.674106	+	0.738635i	$0.735471\pi$
$978$	−16.7956	−	9.63354i	−0.537064	−	0.308047i
$979$	23.8850	−	9.89348i	0.763367	−	0.316197i
$980$	−1.36064	+	2.29213i	−0.0434642	+	0.0732193i
$981$	−5.29867	+	1.52127i	−0.169174	+	0.0485706i
$982$	12.4997	+	6.25860i	0.398883	+	0.199720i
$983$	−27.4787	+	27.4787i	−0.876436	+	0.876436i	−0.993164	−	0.116728i	$-0.962759\pi$
$983$	−27.4787	+	27.4787i	−0.876436	+	0.876436i	0.116728	+	0.993164i	$0.462759\pi$
$984$	17.5233	+	4.87004i	0.558622	+	0.155251i
$985$	0.0868009	+	0.0868009i	0.00276571	+	0.00276571i
$986$	3.42442	+	10.2924i	0.109056	+	0.327777i
$987$	0.282601	+	0.0160002i	0.00899530	+	0.000509292i
$988$	24.1995	+	32.3412i	0.769890	+	1.02891i
$989$	−20.2827	−	48.9667i	−0.644951	−	1.55705i
$990$	−2.29687	+	1.57400i	−0.0729995	+	0.0500250i
$991$			42.6090i			1.35352i	0.736204	+	0.676760i	$0.236616\pi$
$991$			42.6090i			1.35352i	−0.736204	+	0.676760i	$0.763384\pi$
$992$	−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
$996$	18.5592	+	12.4875i	0.588070	+	0.395682i
$997$	−5.53889	+	13.3721i	−0.175418	+	0.423497i	−0.986995	−	0.160748i	$-0.948609\pi$
$997$	−5.53889	+	13.3721i	−0.175418	+	0.423497i	0.811577	+	0.584245i	$0.198609\pi$
$998$	−7.06992	+	2.35226i	−0.223795	+	0.0744594i
$999$	−19.4804	+	4.41816i	−0.616332	+	0.139785i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	96.2.o.a.11.14	yes	56
3.2	odd	2	inner	96.2.o.a.11.1	✓	56
4.3	odd	2		384.2.o.a.335.11		56
8.3	odd	2		768.2.o.a.671.4		56
8.5	even	2		768.2.o.b.671.11		56
12.11	even	2		384.2.o.a.335.1		56
24.5	odd	2		768.2.o.b.671.1		56
24.11	even	2		768.2.o.a.671.14		56
32.3	odd	8	inner	96.2.o.a.35.1	yes	56
32.13	even	8		768.2.o.a.95.14		56
32.19	odd	8		768.2.o.b.95.1		56
32.29	even	8		384.2.o.a.47.1		56
96.29	odd	8		384.2.o.a.47.11		56
96.35	even	8	inner	96.2.o.a.35.14	yes	56
96.77	odd	8		768.2.o.a.95.4		56
96.83	even	8		768.2.o.b.95.11		56

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
96.2.o.a.11.1	✓	56	3.2	odd	2	inner
96.2.o.a.11.14	yes	56	1.1	even	1	trivial
96.2.o.a.35.1	yes	56	32.3	odd	8	inner
96.2.o.a.35.14	yes	56	96.35	even	8	inner
384.2.o.a.47.1		56	32.29	even	8
384.2.o.a.47.11		56	96.29	odd	8
384.2.o.a.335.1		56	12.11	even	2
384.2.o.a.335.11		56	4.3	odd	2
768.2.o.a.95.4		56	96.77	odd	8
768.2.o.a.95.14		56	32.13	even	8
768.2.o.a.671.4		56	8.3	odd	2
768.2.o.a.671.14		56	24.11	even	2
768.2.o.b.95.1		56	32.19	odd	8
768.2.o.b.95.11		56	96.83	even	8
768.2.o.b.671.1		56	24.5	odd	2
768.2.o.b.671.11		56	8.5	even	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)

\(f(q)\)	\(=\)	\(q+(1.41060 + 0.101040i) q^{2} +(-1.29202 + 1.15356i) q^{3} +(1.97958 + 0.285053i) q^{4} +(0.180206 + 0.0746437i) q^{5} +(-1.93907 + 1.49666i) q^{6} +(-0.289055 + 0.289055i) q^{7} +(2.76360 + 0.602112i) q^{8} +(0.338620 - 2.98083i) q^{9} +O(q^{10})\)	\(q+(1.41060 + 0.101040i) q^{2} +(-1.29202 + 1.15356i) q^{3} +(1.97958 + 0.285053i) q^{4} +(0.180206 + 0.0746437i) q^{5} +(-1.93907 + 1.49666i) q^{6} +(-0.289055 + 0.289055i) q^{7} +(2.76360 + 0.602112i) q^{8} +(0.338620 - 2.98083i) q^{9} +(0.246656 + 0.123500i) q^{10} +(-3.10859 - 1.28762i) q^{11} +(-2.88648 + 1.91526i) 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} +(0.778839 - 4.17054i) q^{18} +(-5.57935 + 2.31104i) q^{19} +(0.335455 + 0.199131i) q^{20} +(0.0400233 - 0.706906i) q^{21} +(-4.25488 - 2.13041i) q^{22} +(5.03681 - 5.03681i) q^{23} +(-4.26518 + 2.41002i) q^{24} +(-3.50863 - 3.50863i) q^{25} +(-1.49311 - 4.48768i) q^{26} +(3.00105 + 4.24190i) q^{27} +(-0.654605 + 0.489813i) q^{28} +(3.64020 + 8.78822i) q^{29} +(-0.461148 + 0.124967i) 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} +(1.52002 - 5.80427i) q^{36} +(-1.47112 + 3.55159i) q^{37} +(-8.10374 + 2.69622i) q^{38} +(5.21770 + 2.51565i) q^{39} +(0.453072 + 0.314789i) q^{40} +(-2.62513 - 2.62513i) q^{41} +(0.127882 - 0.993117i) q^{42} +(2.84744 - 6.87432i) q^{43} +(-5.78667 - 3.43506i) q^{44} +(0.283521 - 0.511886i) q^{45} +(7.61384 - 6.59601i) q^{46} +0.399772i q^{47} +(-6.25997 + 2.96862i) q^{48} +6.83289i q^{49} +(-4.59476 - 5.30378i) q^{50} +(-1.04180 + 0.930149i) q^{51} +(-1.65275 - 6.48118i) q^{52} +(-1.42173 + 3.43237i) q^{53} +(3.80468 + 6.28685i) q^{54} +(-0.464073 - 0.464073i) q^{55} +(-0.972876 + 0.624789i) q^{56} +(4.54271 - 9.42200i) q^{57} +(4.24691 + 12.7645i) q^{58} +(-0.918629 + 2.21777i) q^{59} +(-0.663122 + 0.129684i) 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} +(7.95492 - 2.15571i) q^{66} +(-3.76613 - 9.09225i) q^{67} +(1.59620 + 0.229847i) q^{68} +(-0.697409 + 12.3179i) q^{69} +(-0.106996 + 0.0355989i) q^{70} +(-2.86762 - 2.86762i) q^{71} +(2.73060 - 8.03392i) q^{72} +(-6.97993 + 6.97993i) q^{73} +(-2.43401 + 4.86123i) q^{74} +(8.58062 + 0.485813i) q^{75} +(-11.7036 + 2.98449i) q^{76} +(1.27075 - 0.526361i) q^{77} +(7.10591 + 4.07577i) 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} +(0.280735 - 1.38797i) q^{84} +(0.145306 + 0.0601876i) q^{85} +(4.71117 - 9.40921i) q^{86} +(-14.8409 - 7.15536i) q^{87} +(-7.81560 - 5.43018i) q^{88} +(-5.43308 + 5.43308i) q^{89} +(0.451656 - 0.693420i) q^{90} +(1.26304 + 0.523167i) q^{91} +(11.4065 - 8.53503i) q^{92} +(-8.63248 - 9.66864i) q^{93} +(-0.0403928 + 0.563918i) q^{94} -1.17794 q^{95} +(-9.13027 + 3.55503i) q^{96} +2.61408 q^{97} +(-0.690393 + 9.63848i) q^{98} +(-4.89081 + 8.83016i) 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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