LMFDB - Embedded newform 336.2.bq.b.109.17

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [336,2,Mod(37,336)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(336, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([0, 3, 0, 4]))

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

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

chi := DirichletCharacter("336.37");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 336 = 2^{4} \cdot 3 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	336.bq (of order $12$, 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:	$2.68297350792$
Analytic rank:	$0$
Dimension:	$120$
Relative dimension:	$30$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			109.17
Character	$\chi$	$=$	336.109
Dual form			336.2.bq.b.37.17

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.120841 - 1.40904i) q^{2} +(-0.965926 + 0.258819i) q^{3} +(-1.97080 + 0.340539i) q^{4} +(0.433260 + 0.116092i) q^{5} +(0.481410 + 1.32975i) q^{6} +(2.04258 - 1.68163i) q^{7} +(0.717986 + 2.73578i) q^{8} +(0.866025 - 0.500000i) q^{9} +O(q^{10})$	\(q+(-0.120841 - 1.40904i) q^{2} +(-0.965926 + 0.258819i) q^{3} +(-1.97080 + 0.340539i) q^{4} +(0.433260 + 0.116092i) q^{5} +(0.481410 + 1.32975i) q^{6} +(2.04258 - 1.68163i) q^{7} +(0.717986 + 2.73578i) q^{8} +(0.866025 - 0.500000i) q^{9} +(0.111222 - 0.624510i) q^{10} +(-1.18222 - 4.41211i) q^{11} +(1.81550 - 0.839015i) q^{12} +(-3.32021 - 3.32021i) q^{13} +(-2.61631 - 2.67487i) q^{14} -0.448544 q^{15} +(3.76807 - 1.34227i) q^{16} +(-2.68303 + 4.64715i) q^{17} +(-0.809172 - 1.15985i) q^{18} +(1.47730 - 5.51336i) q^{19} +(-0.893400 - 0.0812509i) q^{20} +(-1.53774 + 2.15298i) q^{21} +(-6.07398 + 2.19896i) q^{22} +(0.0663290 - 0.0382951i) q^{23} +(-1.40159 - 2.45673i) q^{24} +(-4.15589 - 2.39940i) q^{25} +(-4.27710 + 5.07953i) q^{26} +(-0.707107 + 0.707107i) q^{27} +(-3.45285 + 4.00972i) q^{28} +(-3.56763 - 3.56763i) q^{29} +(0.0542023 + 0.632016i) q^{30} +(0.347695 - 0.602225i) q^{31} +(-2.34664 - 5.14716i) q^{32} +(2.28387 + 3.95579i) q^{33} +(6.87225 + 3.21894i) q^{34} +(1.08019 - 0.491454i) q^{35} +(-1.53649 + 1.28031i) q^{36} +(11.1005 + 2.97437i) q^{37} +(-7.94707 - 1.41534i) q^{38} +(4.06641 + 2.34774i) q^{39} +(-0.00652673 + 1.26866i) q^{40} +5.69219i q^{41} +(3.21947 + 1.90658i) q^{42} +(6.59516 - 6.59516i) q^{43} +(3.83241 + 8.29277i) q^{44} +(0.433260 - 0.116092i) q^{45} +(-0.0619746 - 0.0888327i) q^{46} +(-0.711379 - 1.23214i) q^{47} +(-3.29227 + 2.27178i) q^{48} +(1.34427 - 6.86971i) q^{49} +(-2.87866 + 6.14577i) q^{50} +(1.38884 - 5.18323i) q^{51} +(7.67411 + 5.41279i) q^{52} +(-1.86185 - 6.94851i) q^{53} +(1.08179 + 0.910895i) q^{54} -2.04883i q^{55} +(6.06710 + 4.38067i) q^{56} +5.70785i q^{57} +(-4.59582 + 5.45805i) q^{58} +(-0.230588 - 0.860565i) q^{59} +(0.883987 - 0.152747i) q^{60} +(-3.37528 + 12.5967i) q^{61} +(-0.890576 - 0.417143i) q^{62} +(0.928114 - 2.47762i) q^{63} +(-6.96899 + 3.92850i) q^{64} +(-1.05306 - 1.82396i) q^{65} +(5.29788 - 3.69609i) q^{66} +(4.23738 - 1.13540i) q^{67} +(3.70517 - 10.0723i) q^{68} +(-0.0541574 + 0.0541574i) q^{69} +(-0.823010 - 1.46265i) q^{70} +9.19924i q^{71} +(1.98968 + 2.01026i) q^{72} +(8.04777 + 4.64638i) q^{73} +(2.84962 - 16.0005i) q^{74} +(4.63529 + 1.24202i) q^{75} +(-1.03394 + 11.3688i) q^{76} +(-9.83429 - 7.02403i) q^{77} +(2.81668 - 6.01344i) q^{78} +(-2.89898 - 5.02118i) q^{79} +(1.78838 - 0.144109i) q^{80} +(0.500000 - 0.866025i) q^{81} +(8.02054 - 0.687849i) q^{82} +(4.19157 + 4.19157i) q^{83} +(2.29740 - 4.76675i) q^{84} +(-1.70195 + 1.70195i) q^{85} +(-10.0898 - 8.49588i) q^{86} +(4.36943 + 2.52269i) q^{87} +(11.2217 - 6.40213i) q^{88} +(6.23399 - 3.59919i) q^{89} +(-0.215933 - 0.596452i) q^{90} +(-12.3651 - 1.19845i) q^{91} +(-0.117680 + 0.0980593i) q^{92} +(-0.179980 + 0.671695i) q^{93} +(-1.65018 + 1.15126i) q^{94} +(1.28011 - 2.21721i) q^{95} +(3.59887 + 4.36442i) q^{96} +10.0676 q^{97} +(-9.84215 - 1.06399i) q^{98} +(-3.22989 - 3.22989i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 120 q - 4 q^{4} - 8 q^{5} - 8 q^{6} + 24 q^{8}+O(q^{10}) $ 120 * q - 4 * q^4 - 8 * q^5 - 8 * q^6 + 24 * q^8	$ 120 q - 4 q^{4} - 8 q^{5} - 8 q^{6} + 24 q^{8} - 8 q^{10} + 4 q^{11} + 8 q^{13} + 32 q^{14} + 8 q^{15} + 12 q^{16} - 16 q^{17} - 4 q^{18} - 8 q^{19} - 64 q^{20} + 12 q^{21} + 24 q^{22} - 8 q^{24} - 8 q^{26} - 8 q^{28} - 64 q^{29} - 52 q^{31} - 4 q^{33} + 32 q^{34} - 8 q^{35} + 24 q^{37} - 40 q^{38} - 60 q^{40} + 24 q^{42} - 32 q^{43} - 12 q^{44} - 8 q^{45} + 4 q^{46} - 8 q^{47} + 32 q^{48} + 20 q^{49} - 16 q^{50} - 8 q^{51} - 16 q^{52} + 4 q^{54} - 104 q^{56} + 4 q^{58} + 52 q^{59} - 16 q^{60} + 4 q^{61} - 144 q^{62} + 8 q^{63} - 64 q^{64} + 24 q^{65} + 24 q^{66} + 12 q^{68} + 24 q^{69} - 48 q^{70} + 4 q^{72} + 16 q^{74} + 16 q^{75} - 8 q^{76} + 8 q^{77} - 56 q^{78} + 28 q^{79} + 68 q^{80} + 60 q^{81} + 28 q^{82} + 8 q^{83} + 24 q^{84} - 80 q^{85} + 36 q^{86} + 40 q^{88} + 8 q^{90} + 36 q^{91} - 184 q^{92} + 4 q^{93} + 60 q^{94} - 16 q^{95} + 36 q^{96} + 24 q^{97} + 124 q^{98} - 8 q^{99}+O(q^{100}) $ 120 * q - 4 * q^4 - 8 * q^5 - 8 * q^6 + 24 * q^8 - 8 * q^10 + 4 * q^11 + 8 * q^13 + 32 * q^14 + 8 * q^15 + 12 * q^16 - 16 * q^17 - 4 * q^18 - 8 * q^19 - 64 * q^20 + 12 * q^21 + 24 * q^22 - 8 * q^24 - 8 * q^26 - 8 * q^28 - 64 * q^29 - 52 * q^31 - 4 * q^33 + 32 * q^34 - 8 * q^35 + 24 * q^37 - 40 * q^38 - 60 * q^40 + 24 * q^42 - 32 * q^43 - 12 * q^44 - 8 * q^45 + 4 * q^46 - 8 * q^47 + 32 * q^48 + 20 * q^49 - 16 * q^50 - 8 * q^51 - 16 * q^52 + 4 * q^54 - 104 * q^56 + 4 * q^58 + 52 * q^59 - 16 * q^60 + 4 * q^61 - 144 * q^62 + 8 * q^63 - 64 * q^64 + 24 * q^65 + 24 * q^66 + 12 * q^68 + 24 * q^69 - 48 * q^70 + 4 * q^72 + 16 * q^74 + 16 * q^75 - 8 * q^76 + 8 * q^77 - 56 * q^78 + 28 * q^79 + 68 * q^80 + 60 * q^81 + 28 * q^82 + 8 * q^83 + 24 * q^84 - 80 * q^85 + 36 * q^86 + 40 * q^88 + 8 * q^90 + 36 * q^91 - 184 * q^92 + 4 * q^93 + 60 * q^94 - 16 * q^95 + 36 * q^96 + 24 * q^97 + 124 * q^98 - 8 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/336\mathbb{Z}\right)^\times$.

$n$	$85$	$113$	$127$	$241$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$1$	$1$	$e\left(\frac{2}{3}\right)$

Coefficient data

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

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

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

$2$	−0.120841	−	1.40904i	−0.0854473	−	0.996343i
$2$	−0.120841	−	1.40904i	−0.0854473	−	0.996343i
$3$	−0.965926	+	0.258819i	−0.557678	+	0.149429i
$3$	−0.965926	+	0.258819i	−0.557678	+	0.149429i
$4$	−1.97080	+	0.340539i	−0.985398	+	0.170270i
$5$	0.433260	+	0.116092i	0.193760	+	0.0519177i	0.354394	−	0.935096i	$-0.384687\pi$
$5$	0.433260	+	0.116092i	0.193760	+	0.0519177i	−0.160634	+	0.987014i	$0.551354\pi$
$6$	0.481410	+	1.32975i	0.196535	+	0.542870i
$7$	2.04258	−	1.68163i	0.772023	−	0.635595i
$7$	2.04258	−	1.68163i	0.772023	−	0.635595i
$8$	0.717986	+	2.73578i	0.253846	+	0.967245i
$9$	0.866025	−	0.500000i	0.288675	−	0.166667i
$10$	0.111222	−	0.624510i	0.0351716	−	0.197487i
$11$	−1.18222	−	4.41211i	−0.356453	−	1.33030i	−0.878646	−	0.477473i	$-0.841553\pi$
$11$	−1.18222	−	4.41211i	−0.356453	−	1.33030i	0.522193	−	0.852827i	$-0.325114\pi$
$12$	1.81550	−	0.839015i	0.524091	−	0.242203i
$13$	−3.32021	−	3.32021i	−0.920860	−	0.920860i	0.0762299	−	0.997090i	$-0.475712\pi$
$13$	−3.32021	−	3.32021i	−0.920860	−	0.920860i	−0.997090	+	0.0762299i	$0.975712\pi$
$14$	−2.61631	−	2.67487i	−0.699237	−	0.714890i
$15$	−0.448544			−0.115813
$16$	3.76807	−	1.34227i	0.942017	−	0.335566i
$17$	−2.68303	+	4.64715i	−0.650732	+	1.12710i	0.332214	+	0.943204i	$0.392204\pi$
$17$	−2.68303	+	4.64715i	−0.650732	+	1.12710i	−0.982946	+	0.183896i	$0.941129\pi$
$18$	−0.809172	−	1.15985i	−0.190724	−	0.273378i
$19$	1.47730	−	5.51336i	0.338916	−	1.26485i	−0.560645	−	0.828056i	$-0.689447\pi$
$19$	1.47730	−	5.51336i	0.338916	−	1.26485i	0.899561	−	0.436795i	$-0.143886\pi$
$20$	−0.893400	−	0.0812509i	−0.199770	−	0.0181682i
$21$	−1.53774	+	2.15298i	−0.335563	+	0.469820i
$22$	−6.07398	+	2.19896i	−1.29498	+	0.468820i
$23$	0.0663290	−	0.0382951i	0.0138306	−	0.00798507i	−0.493069	−	0.869990i	$-0.664125\pi$
$23$	0.0663290	−	0.0382951i	0.0138306	−	0.00798507i	0.506899	+	0.862005i	$0.330792\pi$
$24$	−1.40159	−	2.45673i	−0.286099	−	0.501478i
$25$	−4.15589	−	2.39940i	−0.831178	−	0.479881i
$26$	−4.27710	+	5.07953i	−0.838808	+	0.996178i
$27$	−0.707107	+	0.707107i	−0.136083	+	0.136083i
$28$	−3.45285	+	4.00972i	−0.652527	+	0.757765i
$29$	−3.56763	−	3.56763i	−0.662492	−	0.662492i	0.293475	−	0.955967i	$-0.405188\pi$
$29$	−3.56763	−	3.56763i	−0.662492	−	0.662492i	−0.955967	+	0.293475i	$0.905188\pi$
$30$	0.0542023	+	0.632016i	0.00989594	+	0.115390i
$31$	0.347695	−	0.602225i	0.0624478	−	0.108163i	−0.833111	−	0.553106i	$-0.813443\pi$
$31$	0.347695	−	0.602225i	0.0624478	−	0.108163i	0.895559	+	0.444943i	$0.146776\pi$
$32$	−2.34664	−	5.14716i	−0.414832	−	0.909898i
$33$	2.28387	+	3.95579i	0.397572	+	0.688614i
$34$	6.87225	+	3.21894i	1.17858	+	0.552044i
$35$	1.08019	−	0.491454i	0.182586	−	0.0830709i
$36$	−1.53649	+	1.28031i	−0.256082	+	0.213386i
$37$	11.1005	+	2.97437i	1.82491	+	0.488984i	0.997374	−	0.0724267i	$-0.0230743\pi$
$37$	11.1005	+	2.97437i	1.82491	+	0.488984i	0.827538	+	0.561410i	$0.189741\pi$
$38$	−7.94707	−	1.41534i	−1.28918	−	0.229598i
$39$	4.06641	+	2.34774i	0.651147	+	0.375940i
$40$	−0.00652673	+	1.26866i	−0.00103197	+	0.200592i
$41$			5.69219i			0.888971i	0.895786	+	0.444486i	$0.146614\pi$
$41$			5.69219i			0.888971i	−0.895786	+	0.444486i	$0.853386\pi$
$42$	3.21947	+	1.90658i	0.496774	+	0.294191i
$43$	6.59516	−	6.59516i	1.00575	−	1.00575i	0.00576845	−	0.999983i	$-0.498164\pi$
$43$	6.59516	−	6.59516i	1.00575	−	1.00575i	0.999983	−	0.00576845i	$-0.00183617\pi$
$44$	3.83241	+	8.29277i	0.577757	+	1.25018i
$45$	0.433260	−	0.116092i	0.0645866	−	0.0173059i
$46$	−0.0619746	−	0.0888327i	−0.00913765	−	0.0130977i
$47$	−0.711379	−	1.23214i	−0.103765	−	0.179727i	0.809468	−	0.587164i	$-0.199756\pi$
$47$	−0.711379	−	1.23214i	−0.103765	−	0.179727i	−0.913233	+	0.407438i	$0.866422\pi$
$48$	−3.29227	+	2.27178i	−0.475198	+	0.327903i
$49$	1.34427	−	6.86971i	0.192039	−	0.981387i
$50$	−2.87866	+	6.14577i	−0.407104	+	0.869143i
$51$	1.38884	−	5.18323i	0.194477	−	0.725797i
$52$	7.67411	+	5.41279i	1.06421	+	0.750619i
$53$	−1.86185	−	6.94851i	−0.255745	−	0.954452i	−0.967675	−	0.252201i	$-0.918845\pi$
$53$	−1.86185	−	6.94851i	−0.255745	−	0.954452i	0.711930	−	0.702250i	$-0.247821\pi$
$54$	1.08179	+	0.910895i	0.147213	+	0.123957i
$55$		−	2.04883i		−	0.276265i
$56$	6.06710	+	4.38067i	0.810751	+	0.585392i
$57$			5.70785i			0.756023i
$58$	−4.59582	+	5.45805i	−0.603461	+	0.716677i
$59$	−0.230588	−	0.860565i	−0.0300200	−	0.112036i	0.949290	−	0.314401i	$-0.101804\pi$
$59$	−0.230588	−	0.860565i	−0.0300200	−	0.112036i	−0.979310	+	0.202365i	$0.935137\pi$
$60$	0.883987	−	0.152747i	0.114122	−	0.0197195i
$61$	−3.37528	+	12.5967i	−0.432160	+	1.61284i	0.315612	+	0.948888i	$0.397790\pi$
$61$	−3.37528	+	12.5967i	−0.432160	+	1.61284i	−0.747772	+	0.663955i	$0.768877\pi$
$62$	−0.890576	−	0.417143i	−0.113103	−	0.0529772i
$63$	0.928114	−	2.47762i	0.116931	−	0.312151i
$64$	−6.96899	+	3.92850i	−0.871124	+	0.491063i
$65$	−1.05306	−	1.82396i	−0.130617	−	0.226235i
$66$	5.29788	−	3.69609i	0.652124	−	0.454958i
$67$	4.23738	−	1.13540i	0.517678	−	0.138711i	0.00948556	−	0.999955i	$-0.496981\pi$
$67$	4.23738	−	1.13540i	0.517678	−	0.138711i	0.508192	+	0.861244i	$0.330314\pi$
$68$	3.70517	−	10.0723i	0.449318	−	1.22144i
$69$	−0.0541574	+	0.0541574i	−0.00651979	+	0.00651979i
$70$	−0.823010	−	1.46265i	−0.0983685	−	0.174820i
$71$			9.19924i			1.09175i	0.837867	+	0.545875i	$0.183803\pi$
$71$			9.19924i			1.09175i	−0.837867	+	0.545875i	$0.816197\pi$
$72$	1.98968	+	2.01026i	0.234487	+	0.236912i
$73$	8.04777	+	4.64638i	0.941920	+	0.543818i	0.890562	−	0.454862i	$-0.150312\pi$
$73$	8.04777	+	4.64638i	0.941920	+	0.543818i	0.0513584	+	0.998680i	$0.483645\pi$
$74$	2.84962	−	16.0005i	0.331261	−	1.86002i
$75$	4.63529	+	1.24202i	0.535238	+	0.143416i
$76$	−1.03394	+	11.3688i	−0.118601	+	1.30409i
$77$	−9.83429	−	7.02403i	−1.12072	−	0.800463i
$78$	2.81668	−	6.01344i	0.318926	−	0.680888i
$79$	−2.89898	−	5.02118i	−0.326161	−	0.564927i	0.655586	−	0.755121i	$-0.272422\pi$
$79$	−2.89898	−	5.02118i	−0.326161	−	0.564927i	−0.981747	+	0.190194i	$0.939088\pi$
$80$	1.78838	−	0.144109i	0.199947	−	0.0161119i
$81$	0.500000	−	0.866025i	0.0555556	−	0.0962250i
$82$	8.02054	−	0.687849i	0.885720	−	0.0759602i
$83$	4.19157	+	4.19157i	0.460084	+	0.460084i	0.898683	−	0.438599i	$-0.144525\pi$
$83$	4.19157	+	4.19157i	0.460084	+	0.460084i	−0.438599	+	0.898683i	$0.644525\pi$
$84$	2.29740	−	4.76675i	0.250667	−	0.520095i
$85$	−1.70195	+	1.70195i	−0.184602	+	0.184602i
$86$	−10.0898	−	8.49588i	−1.08801	−	0.916135i
$87$	4.36943	+	2.52269i	0.468452	+	0.270461i
$88$	11.2217	−	6.40213i	1.19624	−	0.682469i
$89$	6.23399	−	3.59919i	0.660801	−	0.381514i	−0.131781	−	0.991279i	$-0.542070\pi$
$89$	6.23399	−	3.59919i	0.660801	−	0.381514i	0.792582	+	0.609765i	$0.208736\pi$
$90$	−0.215933	−	0.596452i	−0.0227614	−	0.0628716i
$91$	−12.3651	−	1.19845i	−1.29622	−	0.125631i
$92$	−0.117680	+	0.0980593i	−0.0122690	+	0.0102234i
$93$	−0.179980	+	0.671695i	−0.0186631	+	0.0696515i
$94$	−1.65018	+	1.15126i	−0.170203	+	0.118743i
$95$	1.28011	−	2.21721i	0.131336	−	0.227481i
$96$	3.59887	+	4.36442i	0.367308	+	0.445442i
$97$	10.0676			1.02221			0.511103	−	0.859519i	$-0.329237\pi$
$97$	10.0676			1.02221			0.511103	+	0.859519i	$0.329237\pi$
$98$	−9.84215	−	1.06399i	−0.994207	−	0.107480i
$99$	−3.22989	−	3.22989i	−0.324616	−	0.324616i
$100$	9.00750	+	3.31349i	0.900750	+	0.331349i
$101$	3.91727	+	14.6195i	0.389783	+	1.45469i	0.830487	+	0.557038i	$0.188062\pi$
$101$	3.91727	+	14.6195i	0.389783	+	1.45469i	−0.440704	+	0.897652i	$0.645271\pi$
$102$	−7.47121	−	1.33059i	−0.739760	−	0.131748i
$103$	−4.00038	+	2.30962i	−0.394169	+	0.227574i	−0.683965	−	0.729515i	$-0.739746\pi$
$103$	−4.00038	+	2.30962i	−0.394169	+	0.227574i	0.289796	+	0.957088i	$0.406413\pi$
$104$	6.69950	−	11.4672i	0.656940	−	1.12445i
$105$	−0.916186	+	0.754282i	−0.0894106	+	0.0736104i
$106$	−9.56576	+	3.46308i	−0.929108	+	0.336365i
$107$	−4.87320	−	1.30577i	−0.471110	−	0.126233i	0.0154504	−	0.999881i	$-0.495082\pi$
$107$	−4.87320	−	1.30577i	−0.471110	−	0.126233i	−0.486560	+	0.873647i	$0.661748\pi$
$108$	1.15277	−	1.63436i	0.110925	−	0.157266i
$109$	−12.0752	+	3.23554i	−1.15659	+	0.309908i	−0.785604	−	0.618729i	$-0.787648\pi$
$109$	−12.0752	+	3.23554i	−1.15659	+	0.309908i	−0.370989	+	0.928637i	$0.620981\pi$
$110$	−2.88689	+	0.247583i	−0.275254	+	0.0236061i
$111$	−11.4921			−1.09078
$112$	5.43939	−	9.07816i	0.513974	−	0.857806i
$113$	20.2694			1.90678			0.953391	−	0.301737i	$-0.0975663\pi$
$113$	20.2694			1.90678			0.953391	+	0.301737i	$0.0975663\pi$
$114$	8.04259	−	0.689740i	0.753258	−	0.0646001i
$115$	0.0331834	−	0.00889147i	0.00309437	−	0.000829134i
$116$	8.24598	+	5.81614i	0.765620	+	0.540015i
$117$	−4.53549	−	1.21528i	−0.419306	−	0.112353i
$118$	−1.18471	+	0.428899i	−0.109061	+	0.0394833i
$119$	2.33445	+	14.0040i	0.213999	+	1.28375i
$120$	−0.322048	−	1.22712i	−0.0293988	−	0.112020i
$121$	−8.54276	+	4.93217i	−0.776615	+	0.448379i
$122$	18.1572	+	3.23371i	1.64387	+	0.292766i
$123$	−1.47325	−	5.49824i	−0.132838	−	0.495759i
$124$	−0.480154	+	1.30527i	−0.0431191	+	0.117216i
$125$	−3.10787	−	3.10787i	−0.277976	−	0.277976i
$126$	−3.60322	−	1.00835i	−0.321001	−	0.0898313i
$127$	4.60793			0.408888			0.204444	−	0.978878i	$-0.434461\pi$
$127$	4.60793			0.408888			0.204444	+	0.978878i	$0.434461\pi$
$128$	6.37756	+	9.34487i	0.563702	+	0.825978i
$129$	−4.66348	+	8.07738i	−0.410596	+	0.711174i
$130$	−2.44278	+	1.70422i	−0.214246	+	0.149470i
$131$	−2.51704	+	9.39372i	−0.219915	+	0.820733i	0.764463	+	0.644667i	$0.223004\pi$
$131$	−2.51704	+	9.39372i	−0.219915	+	0.820733i	−0.984378	+	0.176066i	$0.943663\pi$
$132$	−5.84815	−	7.01830i	−0.509016	−	0.610864i
$133$	−6.25390	−	13.7457i	−0.542282	−	1.19191i
$134$	−2.11187	−	5.83343i	−0.182438	−	0.503932i
$135$	−0.388450	+	0.224272i	−0.0334325	+	0.0193022i
$136$	−14.6400	−	4.00360i	−1.25537	−	0.343306i
$137$	−5.19306	−	2.99822i	−0.443673	−	0.256155i	0.261481	−	0.965209i	$-0.415789\pi$
$137$	−5.19306	−	2.99822i	−0.443673	−	0.256155i	−0.705155	+	0.709054i	$0.749122\pi$
$138$	0.0828544	+	0.0697656i	0.00705304	+	0.00593884i
$139$	12.6672	−	12.6672i	1.07442	−	1.07442i	0.0774221	−	0.996998i	$-0.475331\pi$
$139$	12.6672	−	12.6672i	1.07442	−	1.07442i	0.996998	−	0.0774221i	$-0.0246689\pi$
$140$	−1.96147	+	1.33640i	−0.165775	+	0.112947i
$141$	1.00604	+	1.00604i	0.0847240	+	0.0847240i
$142$	12.9621	−	1.11164i	1.08776	−	0.0932870i
$143$	−10.7239	+	18.5743i	−0.896778	+	1.55326i
$144$	2.59211	−	3.04647i	0.216009	−	0.253872i
$145$	−1.13154	−	1.95988i	−0.0939691	−	0.162759i
$146$	5.57445	−	11.9011i	0.461344	−	0.984943i
$147$	0.479545	+	6.98355i	0.0395522	+	0.575994i
$148$	−22.8897	−	2.08172i	−1.88152	−	0.171116i
$149$	−7.22156	−	1.93501i	−0.591613	−	0.158522i	−0.0494228	−	0.998778i	$-0.515738\pi$
$149$	−7.22156	−	1.93501i	−0.591613	−	0.158522i	−0.542190	+	0.840256i	$0.682405\pi$
$150$	1.18993	−	6.68141i	0.0971574	−	0.545535i
$151$	0.450063	+	0.259844i	0.0366256	+	0.0211458i	0.518201	−	0.855259i	$-0.326602\pi$
$151$	0.450063	+	0.259844i	0.0366256	+	0.0211458i	−0.481575	+	0.876405i	$0.659935\pi$
$152$	16.1440	+	0.0830546i	1.30945	+	0.00673661i
$153$			5.36607i			0.433821i
$154$	−8.70877	+	14.7057i	−0.701773	+	1.18502i
$155$	0.220555	−	0.220555i	0.0177154	−	0.0177154i
$156$	−8.81356	−	3.24215i	−0.705649	−	0.259580i
$157$	−5.22849	+	1.40097i	−0.417279	+	0.111810i	−0.461349	−	0.887219i	$-0.652634\pi$
$157$	−5.22849	+	1.40097i	−0.417279	+	0.111810i	0.0440698	+	0.999028i	$0.485968\pi$
$158$	−6.72474	+	4.69155i	−0.534992	+	0.373240i
$159$	3.59682	+	6.22987i	0.285246	+	0.494061i
$160$	−0.419164	−	2.50248i	−0.0331378	−	0.197839i
$161$	0.0710844	−	0.189761i	0.00560223	−	0.0149553i
$162$	−1.28069	−	0.599870i	−0.100620	−	0.0471302i
$163$	−0.304275	+	1.13557i	−0.0238327	+	0.0889447i	−0.976818	−	0.214072i	$-0.931327\pi$
$163$	−0.304275	+	1.13557i	−0.0238327	+	0.0889447i	0.952985	+	0.303017i	$0.0979939\pi$
$164$	−1.93841	−	11.2181i	−0.151365	−	0.875990i
$165$	0.530277	+	1.97902i	0.0412820	+	0.154067i
$166$	5.39958	−	6.41261i	0.419089	−	0.497715i
$167$			4.47687i			0.346430i	0.984884	+	0.173215i	$0.0554156\pi$
$167$			4.47687i			0.346430i	−0.984884	+	0.173215i	$0.944584\pi$
$168$	−6.99417	−	2.66112i	−0.539612	−	0.205310i
$169$			9.04758i			0.695968i
$170$	2.60378	+	2.19245i	0.199701	+	0.168153i
$171$	−1.47730	−	5.51336i	−0.112972	−	0.421617i
$172$	−10.7518	+	15.2436i	−0.819816	+	1.16231i
$173$	1.17294	−	4.37748i	0.0891771	−	0.332813i	−0.906895	−	0.421356i	$-0.861554\pi$
$173$	1.17294	−	4.37748i	0.0891771	−	0.332813i	0.996072	+	0.0885426i	$0.0282210\pi$
$174$	3.02657	−	6.46156i	0.229444	−	0.489849i
$175$	−12.5236	+	2.08767i	−0.946698	+	0.157813i
$176$	−10.3769	−	15.0383i	−0.782189	−	1.13355i
$177$	0.445461	+	0.771562i	0.0334829	+	0.0579941i
$178$	−5.82473	−	8.34901i	−0.436582	−	0.625785i
$179$	−3.63082	+	0.972876i	−0.271381	+	0.0727162i	−0.391943	−	0.919990i	$-0.628197\pi$
$179$	−3.63082	+	0.972876i	−0.271381	+	0.0727162i	0.120562	+	0.992706i	$0.461530\pi$
$180$	−0.814332	+	0.376335i	−0.0606968	+	0.0280503i
$181$	−7.00882	+	7.00882i	−0.520962	+	0.520962i	−0.917862	−	0.396900i	$-0.870086\pi$
$181$	−7.00882	+	7.00882i	−0.520962	+	0.520962i	0.396900	+	0.917862i	$0.370086\pi$
$182$	−0.194449	+	17.5678i	−0.0144136	+	1.30221i
$183$		−	13.0411i		−	0.964024i
$184$	0.152390	+	0.153966i	0.0112344	+	0.0113505i
$185$	4.46410	+	2.57735i	0.328207	+	0.189491i
$186$	0.968195	+	0.172431i	0.0709915	+	0.0126433i
$187$	23.6757	+	6.34388i	1.73134	+	0.463910i
$188$	1.82157	+	2.18605i	0.132852	+	0.159434i
$189$	−0.255234	+	2.63341i	−0.0185655	+	0.191552i
$190$	−3.27884	−	1.53580i	−0.237872	−	0.111418i
$191$	−5.01753	−	8.69062i	−0.363056	−	0.628831i	0.625406	−	0.780299i	$-0.284933\pi$
$191$	−5.01753	−	8.69062i	−0.363056	−	0.628831i	−0.988462	+	0.151468i	$0.951600\pi$
$192$	5.71476	−	5.59835i	0.412427	−	0.404026i
$193$	0.622783	−	1.07869i	0.0448289	−	0.0776460i	−0.842740	−	0.538320i	$-0.819059\pi$
$193$	0.622783	−	1.07869i	0.0448289	−	0.0776460i	0.887569	+	0.460674i	$0.152392\pi$
$194$	−1.21657	−	14.1856i	−0.0873448	−	1.01847i
$195$	1.48926	+	1.48926i	0.106648	+	0.106648i
$196$	−0.309880	+	13.9966i	−0.0221343	+	0.999755i
$197$	2.11406	−	2.11406i	0.150621	−	0.150621i	−0.627775	−	0.778395i	$-0.716034\pi$
$197$	2.11406	−	2.11406i	0.150621	−	0.150621i	0.778395	+	0.627775i	$0.216034\pi$
$198$	−4.16074	+	4.94135i	−0.295691	+	0.351166i
$199$	−12.3951	−	7.15630i	−0.878664	−	0.507297i	−0.00844614	−	0.999964i	$-0.502689\pi$
$199$	−12.3951	−	7.15630i	−0.878664	−	0.507297i	−0.870218	+	0.492668i	$0.836022\pi$
$200$	3.58037	−	13.0923i	0.253171	−	0.925768i
$201$	−3.79913	+	2.19343i	−0.267970	+	0.154712i
$202$	20.1260	−	7.28622i	1.41606	−	0.512657i
$203$	−13.2866	−	1.28775i	−0.932535	−	0.0903826i
$204$	−0.972030	+	10.6880i	−0.0680557	+	0.748312i
$205$	−0.660816	+	2.46620i	−0.0461534	+	0.172247i
$206$	3.73776	+	5.35760i	0.260422	+	0.373282i
$207$	0.0382951	−	0.0663290i	0.00266169	−	0.00461018i
$208$	−16.9674	−	8.05417i	−1.17648	−	0.558456i
$209$	−26.0720			−1.80344
$210$	1.17353	+	1.19980i	0.0809811	+	0.0827938i
$211$	−5.18089	−	5.18089i	−0.356667	−	0.356667i	0.505916	−	0.862583i	$-0.331155\pi$
$211$	−5.18089	−	5.18089i	−0.356667	−	0.356667i	−0.862583	+	0.505916i	$0.831155\pi$
$212$	6.03556	+	13.0601i	0.414524	+	0.896969i
$213$	−2.38094	−	8.88579i	−0.163139	−	0.608844i
$214$	−1.25100	+	7.02432i	−0.0855167	+	0.480173i
$215$	3.62306	−	2.09177i	0.247090	−	0.142658i
$216$	−2.44218	−	1.42680i	−0.166169	−	0.0970812i
$217$	−0.302522	−	1.81479i	−0.0205365	−	0.123196i
$218$	6.01818	+	16.6235i	0.407603	+	1.12588i
$219$	−8.97612	−	2.40514i	−0.606550	−	0.162525i
$220$	0.697708	+	4.03783i	0.0470395	+	0.272231i
$221$	24.3378	−	6.52128i	1.63713	−	0.438669i
$222$	1.38871	+	16.1928i	0.0932042	+	1.08679i
$223$	−6.89958			−0.462030			−0.231015	−	0.972950i	$-0.574205\pi$
$223$	−6.89958			−0.462030			−0.231015	+	0.972950i	$0.574205\pi$
$224$	−13.4488	−	6.56732i	−0.898586	−	0.438797i
$225$	−4.79881			−0.319921
$226$	−2.44937	−	28.5604i	−0.162929	−	1.89981i
$227$	−14.3199	+	3.83701i	−0.950445	+	0.254671i	−0.700551	−	0.713602i	$-0.747062\pi$
$227$	−14.3199	+	3.83701i	−0.950445	+	0.254671i	−0.249894	+	0.968273i	$0.580396\pi$
$228$	−1.94375	−	11.2490i	−0.128728	−	0.744983i
$229$	2.96212	+	0.793698i	0.195742	+	0.0524490i	0.355358	−	0.934730i	$-0.384359\pi$
$229$	2.96212	+	0.793698i	0.195742	+	0.0524490i	−0.159616	+	0.987179i	$0.551026\pi$
$230$	−0.0165384	−	0.0456824i	−0.00109051	−	0.00301221i
$231$	11.3172	+	4.23939i	0.744614	+	0.278932i
$232$	7.19874	−	12.3218i	0.472620	−	0.808963i
$233$	25.3542	−	14.6383i	1.66101	−	0.958986i	0.688779	−	0.724972i	$-0.258147\pi$
$233$	25.3542	−	14.6383i	1.66101	−	0.958986i	0.972233	−	0.234014i	$-0.0751862\pi$
$234$	−1.16431	+	6.53755i	−0.0761133	+	0.427373i
$235$	−0.165170	−	0.616423i	−0.0107745	−	0.0402110i
$236$	0.747497	+	1.61747i	0.0486579	+	0.105289i
$237$	4.09978	+	4.09978i	0.266309	+	0.266309i
$238$	19.4502	−	4.98160i	1.26077	−	0.322909i
$239$	16.9478			1.09626			0.548132	−	0.836392i	$-0.315339\pi$
$239$	16.9478			1.09626			0.548132	+	0.836392i	$0.315339\pi$
$240$	−1.69014	+	0.602065i	−0.109098	+	0.0388631i
$241$	13.9364	−	24.1386i	0.897723	−	1.55490i	0.0673248	−	0.997731i	$-0.478554\pi$
$241$	13.9364	−	24.1386i	0.897723	−	1.55490i	0.830398	−	0.557171i	$-0.188113\pi$
$242$	7.98194	+	11.4411i	0.513099	+	0.735462i
$243$	−0.258819	+	0.965926i	−0.0166032	+	0.0619642i
$244$	2.36231	−	25.9749i	0.151231	−	1.66288i
$245$	1.37993	−	2.82031i	0.0881608	−	0.180183i
$246$	−7.56921	+	2.74028i	−0.482596	+	0.174714i
$247$	−23.2104	+	13.4006i	−1.47685	+	0.852657i
$248$	1.89720	+	0.518828i	0.120472	+	0.0329456i
$249$	−5.13360	−	2.96389i	−0.325329	−	0.187829i
$250$	−4.00356	+	4.75467i	−0.253207	+	0.300712i
$251$	20.4760	−	20.4760i	1.29243	−	1.29243i	0.359155	−	0.933278i	$-0.383065\pi$
$251$	20.4760	−	20.4760i	1.29243	−	1.29243i	0.933278	−	0.359155i	$-0.116935\pi$
$252$	−0.985396	+	5.19894i	−0.0620741	+	0.327503i
$253$	−0.247377	−	0.247377i	−0.0155525	−	0.0155525i
$254$	−0.556825	−	6.49276i	−0.0349383	−	0.407392i
$255$	1.20346	−	2.08445i	0.0753635	−	0.130533i
$256$	12.3966	−	10.1155i	0.774790	−	0.632218i
$257$	−3.88700	−	6.73248i	−0.242464	−	0.419960i	0.718951	−	0.695060i	$-0.244622\pi$
$257$	−3.88700	−	6.73248i	−0.242464	−	0.419960i	−0.961416	+	0.275100i	$0.911289\pi$
$258$	11.9449	+	5.59496i	0.743657	+	0.348327i
$259$	27.6755	−	12.5915i	1.71967	−	0.782397i
$260$	2.69650	+	3.23604i	0.167230	+	0.200691i
$261$	−4.87347	−	1.30584i	−0.301660	−	0.0808296i
$262$	13.5403	+	2.41147i	0.836523	+	0.148981i
$263$	27.3051	+	15.7646i	1.68371	+	0.972088i	0.959162	+	0.282859i	$0.0912828\pi$
$263$	27.3051	+	15.7646i	1.68371	+	0.972088i	0.724544	+	0.689229i	$0.242051\pi$
$264$	−9.18238	+	9.08838i	−0.565136	+	0.559351i
$265$		−	3.22666i		−	0.198212i
$266$	−18.6126	+	10.4730i	−1.14121	+	0.642144i
$267$	−5.09003	+	5.09003i	−0.311505	+	0.311505i
$268$	−7.96435	+	3.68064i	−0.486500	+	0.224831i
$269$	−10.5916	+	2.83801i	−0.645780	+	0.173036i	−0.566820	−	0.823842i	$-0.691827\pi$
$269$	−10.5916	+	2.83801i	−0.645780	+	0.173036i	−0.0789599	+	0.996878i	$0.525160\pi$
$270$	0.362949	+	0.520241i	0.0220884	+	0.0316609i
$271$	4.22148	+	7.31181i	0.256437	+	0.444161i	0.965285	−	0.261200i	$-0.0841182\pi$
$271$	4.22148	+	7.31181i	0.256437	+	0.444161i	−0.708848	+	0.705361i	$0.750785\pi$
$272$	−3.87214	+	21.1121i	−0.234783	+	1.28011i
$273$	12.2540	−	2.04272i	0.741645	−	0.123631i
$274$	−3.59708	+	7.67955i	−0.217307	+	0.463938i
$275$	−5.67325	+	21.1729i	−0.342110	+	1.27677i
$276$	0.0882904	−	0.125176i	0.00531446	−	0.00753470i
$277$	4.15199	+	15.4954i	0.249469	+	0.931030i	0.971084	+	0.238736i	$0.0767331\pi$
$277$	4.15199	+	15.4954i	0.249469	+	0.931030i	−0.721616	+	0.692294i	$0.756600\pi$
$278$	−19.3794	−	16.3179i	−1.16230	−	0.978685i
$279$		−	0.695390i		−	0.0416319i
$280$	2.12007	+	2.60231i	0.126699	+	0.155518i
$281$		−	1.41568i		−	0.0844526i	−0.999108	−	0.0422263i	$-0.986555\pi$
$281$		−	1.41568i		−	0.0844526i	0.999108	−	0.0422263i	$-0.0134450\pi$
$282$	1.29598	−	1.53912i	0.0771747	−	0.0916535i
$283$	5.50086	+	20.5295i	0.326992	+	1.22035i	0.912294	+	0.409535i	$0.134309\pi$
$283$	5.50086	+	20.5295i	0.326992	+	1.22035i	−0.585302	+	0.810815i	$0.699024\pi$
$284$	−3.13270	−	18.1298i	−0.185892	−	1.07581i
$285$	−0.662633	+	2.47298i	−0.0392510	+	0.146487i
$286$	27.4679	+	12.8659i	1.62421	+	0.760776i
$287$	9.57214	+	11.6268i	0.565025	+	0.686306i
$288$	−4.60583	−	3.28425i	−0.271401	−	0.193526i
$289$	−5.89735	−	10.2145i	−0.346903	−	0.600854i
$290$	−2.62482	+	1.83122i	−0.154135	+	0.107533i
$291$	−9.72452	+	2.60568i	−0.570062	+	0.152748i
$292$	−17.4428	−	6.41649i	−1.02076	−	0.375496i
$293$	4.98062	−	4.98062i	0.290971	−	0.290971i	−0.546493	−	0.837464i	$-0.684037\pi$
$293$	4.98062	−	4.98062i	0.290971	−	0.290971i	0.837464	+	0.546493i	$0.184037\pi$
$294$	9.78217	−	1.51960i	0.570508	−	0.0886246i
$295$		−	0.399618i		−	0.0232666i
$296$	−0.167221	+	32.5041i	−0.00971950	+	1.88926i
$297$	3.95579	+	2.28387i	0.229538	+	0.132524i
$298$	−1.85385	+	10.4093i	−0.107391	+	0.602995i
$299$	−0.347374	−	0.0930785i	−0.0200891	−	0.00538287i
$300$	−9.55817	−	0.869274i	−0.551841	−	0.0501876i
$301$	2.38056	−	24.5617i	0.137213	−	1.41571i
$302$	0.311745	−	0.665558i	0.0179389	−	0.0382985i
$303$	−7.56759	−	13.1074i	−0.434746	−	0.753003i
$304$	−1.83383	−	22.7576i	−0.105177	−	1.30524i
$305$	−2.92474	+	5.06581i	−0.167470	+	0.290067i
$306$	7.56101	−	0.648440i	0.432234	−	0.0370688i
$307$	−17.7061	−	17.7061i	−1.01054	−	1.01054i	−0.999944	−	0.0105950i	$-0.996627\pi$
$307$	−17.7061	−	17.7061i	−1.01054	−	1.01054i	−0.0105950	−	0.999944i	$-0.503373\pi$
$308$	21.7733	+	10.4940i	1.24065	+	0.597949i
$309$	3.26630	−	3.26630i	0.185813	−	0.185813i
$310$	−0.337424	−	0.284120i	−0.0191644	−	0.0161369i
$311$	−14.8813	−	8.59171i	−0.843840	−	0.487191i	0.0147274	−	0.999892i	$-0.495312\pi$
$311$	−14.8813	−	8.59171i	−0.843840	−	0.487191i	−0.858568	+	0.512700i	$0.828645\pi$
$312$	−3.50328	+	12.8105i	−0.198334	+	0.725249i
$313$	3.59514	−	2.07566i	0.203209	−	0.117323i	−0.394942	−	0.918706i	$-0.629235\pi$
$313$	3.59514	−	2.07566i	0.203209	−	0.117323i	0.598152	+	0.801383i	$0.295902\pi$
$314$	2.60584	+	7.19786i	0.147056	+	0.406199i
$315$	0.689745	−	0.965707i	0.0388628	−	0.0544114i
$316$	7.42321	+	8.90851i	0.417588	+	0.501143i
$317$	7.59606	−	28.3489i	0.426637	−	1.59223i	−0.333685	−	0.942685i	$-0.608292\pi$
$317$	7.59606	−	28.3489i	0.426637	−	1.59223i	0.760322	−	0.649547i	$-0.225041\pi$
$318$	8.34350	−	5.82088i	0.467880	−	0.326419i
$319$	−11.5230	+	19.9585i	−0.645166	+	1.11746i
$320$	−3.47545	+	0.893021i	−0.194284	+	0.0499214i
$321$	5.04510			0.281590
$322$	−0.275971	−	0.0772300i	−0.0153793	−	0.00430386i
$323$	21.6578	+	21.6578i	1.20507	+	1.20507i
$324$	−0.690482	+	1.87703i	−0.0383601	+	0.104279i
$325$	5.83190	+	21.7650i	0.323496	+	1.20730i
$326$	1.63683	+	0.291513i	0.0906559	+	0.0161454i
$327$	10.8263	−	6.25058i	0.598697	−	0.345658i
$328$	−15.5726	+	4.08692i	−0.859853	+	0.225662i
$329$	−3.52505	−	1.32048i	−0.194342	−	0.0728005i
$330$	2.72444	−	0.986329i	0.149976	−	0.0542956i
$331$	0.559583	+	0.149940i	0.0307575	+	0.00824144i	0.274165	−	0.961683i	$-0.411599\pi$
$331$	0.559583	+	0.149940i	0.0307575	+	0.00824144i	−0.243408	+	0.969924i	$0.578265\pi$
$332$	−9.68812	−	6.83333i	−0.531704	−	0.375028i
$333$	11.1005	−	2.97437i	0.608304	−	0.162995i
$334$	6.30809	−	0.540988i	0.345163	−	0.0296015i
$335$	1.96769			0.107507
$336$	−2.90445	+	10.1766i	−0.158451	+	0.555182i
$337$	20.5339			1.11855			0.559276	−	0.828982i	$-0.311079\pi$
$337$	20.5339			1.11855			0.559276	+	0.828982i	$0.311079\pi$
$338$	12.7484	−	1.09332i	0.693422	−	0.0594686i
$339$	−19.5787	+	5.24610i	−1.06337	+	0.284929i
$340$	2.77461	−	3.93377i	0.150474	−	0.213338i
$341$	−3.06813	−	0.822104i	−0.166149	−	0.0445194i
$342$	−7.59003	+	2.74781i	−0.410422	+	0.148585i
$343$	−8.80650	−	16.2925i	−0.475506	−	0.879712i
$344$	22.7781	+	13.3077i	1.22811	+	0.717502i
$345$	−0.0297514	+	0.0171770i	−0.00160176	+	0.000924779i
$346$	−6.30978	−	1.12375i	−0.339216	−	0.0604129i
$347$	7.03515	+	26.2555i	0.377666	+	1.40947i	0.849410	+	0.527734i	$0.176958\pi$
$347$	7.03515	+	26.2555i	0.377666	+	1.40947i	−0.471743	+	0.881736i	$0.656375\pi$
$348$	−9.47033	−	3.48375i	−0.507663	−	0.186749i
$349$	6.65546	+	6.65546i	0.356258	+	0.356258i	0.862432	−	0.506173i	$-0.168940\pi$
$349$	6.65546	+	6.65546i	0.356258	+	0.356258i	−0.506173	+	0.862432i	$0.668940\pi$
$350$	4.45498	+	17.3941i	0.238129	+	0.929751i
$351$	4.69549			0.250626
$352$	−19.9356	+	16.4387i	−1.06257	+	0.876187i
$353$	4.31508	−	7.47393i	0.229668	−	0.397797i	−0.728041	−	0.685533i	$-0.759569\pi$
$353$	4.31508	−	7.47393i	0.229668	−	0.397797i	0.957710	+	0.287736i	$0.0929025\pi$
$354$	1.03333	−	0.720909i	0.0549210	−	0.0383159i
$355$	−1.06795	+	3.98566i	−0.0566812	+	0.211537i
$356$	−11.0602	+	9.21619i	−0.586192	+	0.488457i
$357$	−5.87942	−	12.9227i	−0.311172	−	0.683940i
$358$	1.80957	+	4.99842i	0.0956390	+	0.264175i
$359$	−6.48722	+	3.74540i	−0.342382	+	0.197675i	−0.661325	−	0.750099i	$-0.730006\pi$
$359$	−6.48722	+	3.74540i	−0.342382	+	0.197675i	0.318943	+	0.947774i	$0.396672\pi$
$360$	0.628676	+	1.10195i	0.0331341	+	0.0580779i
$361$	−11.7602	−	6.78977i	−0.618959	−	0.357356i
$362$	10.7227	+	9.02877i	0.563571	+	0.474541i
$363$	6.97514	−	6.97514i	0.366100	−	0.366100i
$364$	24.7773	−	1.84892i	1.29868	−	0.0969098i
$365$	2.94737	+	2.94737i	0.154272	+	0.154272i
$366$	−18.3754	+	1.57589i	−0.960498	+	0.0823732i
$367$	6.66977	−	11.5524i	0.348159	−	0.603030i	−0.637763	−	0.770233i	$-0.720140\pi$
$367$	6.66977	−	11.5524i	0.348159	−	0.603030i	0.985923	+	0.167203i	$0.0534735\pi$
$368$	0.198530	−	0.233329i	0.0103491	−	0.0121631i
$369$	2.84610	+	4.92958i	0.148162	+	0.256624i
$370$	3.09215	−	6.60155i	0.160753	−	0.343198i
$371$	−15.4878	−	11.0620i	−0.804085	−	0.574309i
$372$	0.125966	−	1.38506i	0.00653101	−	0.0718122i
$373$	11.1875	+	2.99769i	0.579268	+	0.155214i	0.536544	−	0.843873i	$-0.319730\pi$
$373$	11.1875	+	2.99769i	0.579268	+	0.155214i	0.0427241	+	0.999087i	$0.486396\pi$
$374$	6.07780	−	34.1266i	0.314276	−	1.76464i
$375$	3.80635	+	2.19760i	0.196559	+	0.113483i
$376$	2.86012	−	2.83084i	0.147499	−	0.145989i
$377$			23.6905i			1.22012i
$378$	3.74143	+	0.0414120i	0.192438	+	0.00213000i
$379$	−18.0952	+	18.0952i	−0.929489	+	0.929489i	−0.997673	−	0.0681842i	$-0.978279\pi$
$379$	−18.0952	+	18.0952i	−0.929489	+	0.929489i	0.0681842	+	0.997673i	$0.478279\pi$
$380$	−1.76778	+	4.80560i	−0.0906854	+	0.246522i
$381$	−4.45092	+	1.19262i	−0.228027	+	0.0610998i
$382$	−11.6391	+	8.12009i	−0.595510	+	0.415460i
$383$	−8.37814	−	14.5114i	−0.428103	−	0.741496i	0.568602	−	0.822613i	$-0.307485\pi$
$383$	−8.37814	−	14.5114i	−0.428103	−	0.741496i	−0.996705	+	0.0811169i	$0.974151\pi$
$384$	−8.57888	−	7.37582i	−0.437789	−	0.376396i
$385$	−3.44537	−	4.18491i	−0.175592	−	0.213283i
$386$	−1.59518	−	0.747178i	−0.0811925	−	0.0380303i
$387$	2.41399	−	9.00915i	0.122710	−	0.457961i
$388$	−19.8411	+	3.42840i	−1.00728	+	0.174051i
$389$	−9.19084	−	34.3007i	−0.465994	−	1.73911i	−0.653573	−	0.756864i	$-0.726731\pi$
$389$	−9.19084	−	34.3007i	−0.465994	−	1.73911i	0.187579	−	0.982250i	$-0.439936\pi$
$390$	1.91846	−	2.27839i	0.0971452	−	0.115371i
$391$			0.410988i			0.0207846i
$392$	19.7592	−	1.25472i	0.997990	−	0.0633730i
$393$		−	9.72510i		−	0.490566i
$394$	−3.23427	−	2.72334i	−0.162940	−	0.137200i
$395$	−0.673095	−	2.51202i	−0.0338671	−	0.126394i
$396$	7.46535	+	5.26554i	0.375148	+	0.264603i
$397$	−9.09040	+	33.9258i	−0.456234	+	1.70269i	0.228200	+	0.973614i	$0.426716\pi$
$397$	−9.09040	+	33.9258i	−0.456234	+	1.70269i	−0.684434	+	0.729074i	$0.739951\pi$
$398$	−8.58569	+	18.3299i	−0.430362	+	0.918797i
$399$	9.59846	+	11.6587i	0.480524	+	0.583667i
$400$	−18.8803	−	3.46281i	−0.944015	−	0.173140i
$401$	5.46635	+	9.46799i	0.272976	+	0.472809i	0.969623	−	0.244606i	$-0.0786586\pi$
$401$	5.46635	+	9.46799i	0.272976	+	0.472809i	−0.696646	+	0.717415i	$0.745325\pi$
$402$	3.54972	+	5.08807i	0.177044	+	0.253770i
$403$	−3.15393	+	0.845094i	−0.157109	+	0.0420971i
$404$	−12.6986	−	27.4780i	−0.631781	−	1.36708i
$405$	0.317168	−	0.317168i	0.0157602	−	0.0157602i
$406$	−0.208940	+	18.8769i	−0.0103695	+	0.936847i
$407$		−	52.4930i		−	2.60198i
$408$	15.1773	+	0.0780814i	0.751390	+	0.00386560i
$409$	14.0226	+	8.09593i	0.693371	+	0.400318i	0.804874	−	0.593446i	$-0.202233\pi$
$409$	14.0226	+	8.09593i	0.693371	+	0.400318i	−0.111503	+	0.993764i	$0.535566\pi$
$410$	3.55483	+	0.633100i	0.175560	+	0.0312666i
$411$	5.79211	+	1.55199i	0.285704	+	0.0765541i
$412$	7.09741	−	5.91407i	0.349664	−	0.291366i
$413$	−1.91814	−	1.37001i	−0.0943856	−	0.0674139i
$414$	−0.0980879	−	0.0459441i	−0.00482076	−	0.00225803i
$415$	1.32943	+	2.30264i	0.0652593	+	0.113032i
$416$	−9.29830	+	24.8810i	−0.455887	+	1.21989i
$417$	−8.95709	+	15.5141i	−0.438630	+	0.759730i
$418$	3.15056	+	36.7366i	0.154099	+	1.79684i
$419$	−1.24155	−	1.24155i	−0.0606537	−	0.0606537i	0.676129	−	0.736783i	$-0.263656\pi$
$419$	−1.24155	−	1.24155i	−0.0606537	−	0.0606537i	−0.736783	+	0.676129i	$0.763656\pi$
$420$	1.54875	−	1.79853i	0.0755714	−	0.0877594i
$421$	−5.41326	+	5.41326i	−0.263826	+	0.263826i	−0.826607	−	0.562780i	$-0.809732\pi$
$421$	−5.41326	+	5.41326i	−0.263826	+	0.263826i	0.562780	+	0.826607i	$0.309732\pi$
$422$	−6.67402	+	7.92615i	−0.324886	+	0.385839i
$423$	−1.23214	−	0.711379i	−0.0599089	−	0.0345884i
$424$	17.6728	−	10.0825i	0.858268	−	0.489652i
$425$	22.3008	−	12.8754i	1.08175	−	0.624547i
$426$	−12.2327	+	4.42861i	−0.592677	+	0.214567i
$427$	14.2887	+	31.4057i	0.691477	+	1.51983i
$428$	10.0487	+	0.913889i	0.485724	+	0.0441745i
$429$	5.55110	−	20.7170i	0.268010	−	1.00023i
$430$	−3.38521	−	4.85227i	−0.163249	−	0.233997i
$431$	−12.7903	+	22.1535i	−0.616088	+	1.06710i	0.374105	+	0.927387i	$0.377950\pi$
$431$	−12.7903	+	22.1535i	−0.616088	+	1.06710i	−0.990193	+	0.139709i	$0.955383\pi$
$432$	−1.71530	+	3.61355i	−0.0825274	+	0.173857i
$433$	−27.0843			−1.30159			−0.650794	−	0.759254i	$-0.725564\pi$
$433$	−27.0843			−1.30159			−0.650794	+	0.759254i	$0.725564\pi$
$434$	−2.52055	+	0.645566i	−0.120990	+	0.0309882i
$435$	1.60024	+	1.60024i	0.0767254	+	0.0767254i
$436$	22.6959	−	10.4887i	1.08694	−	0.502315i
$437$	−0.113147	−	0.422269i	−0.00541254	−	0.0201999i
$438$	−2.30427	+	12.9384i	−0.110102	+	0.618219i
$439$	−2.27236	+	1.31195i	−0.108454	+	0.0626158i	−0.553246	−	0.833018i	$-0.686611\pi$
$439$	−2.27236	+	1.31195i	−0.108454	+	0.0626158i	0.444792	+	0.895634i	$0.353278\pi$
$440$	5.60516	−	1.47103i	0.267216	−	0.0701288i
$441$	−2.27068	−	6.62148i	−0.108128	−	0.315309i
$442$	−12.1297	−	33.5049i	−0.576953	−	1.59366i
$443$	−17.0769	−	4.57574i	−0.811348	−	0.217400i	−0.170788	−	0.985308i	$-0.554631\pi$
$443$	−17.0769	−	4.57574i	−0.811348	−	0.217400i	−0.640560	+	0.767908i	$0.721298\pi$
$444$	22.6485	−	3.91350i	1.07485	−	0.185727i
$445$	3.11877	−	0.835672i	0.147844	−	0.0396147i
$446$	0.833751	+	9.72180i	0.0394792	+	0.460341i
$447$	7.47631			0.353617
$448$	−7.62846	+	19.7435i	−0.360411	+	0.932794i
$449$	−13.1486			−0.620522			−0.310261	−	0.950651i	$-0.600416\pi$
$449$	−13.1486			−0.620522			−0.310261	+	0.950651i	$0.600416\pi$
$450$	0.579891	+	6.76172i	0.0273363	+	0.318751i
$451$	25.1146	−	6.72943i	1.18260	−	0.316876i
$452$	−39.9468	+	6.90252i	−1.87894	+	0.324667i
$453$	−0.501980	−	0.134505i	−0.0235851	−	0.00631961i
$454$	7.13693	+	19.7137i	0.334953	+	0.925208i
$455$	−5.21819	−	1.95473i	−0.244633	−	0.0916391i
$456$	−15.6154	+	4.09816i	−0.731259	+	0.191914i
$457$	7.23867	−	4.17925i	0.338611	−	0.195497i	−0.321047	−	0.947063i	$-0.604035\pi$
$457$	7.23867	−	4.17925i	0.338611	−	0.195497i	0.659657	+	0.751566i	$0.270701\pi$
$458$	0.760408	−	4.26966i	0.0355316	−	0.199508i
$459$	−1.38884	−	5.18323i	−0.0648255	−	0.241932i
$460$	−0.0623698	+	0.0288235i	−0.00290801	+	0.00134390i
$461$	10.9955	+	10.9955i	0.512112	+	0.512112i	0.915173	−	0.403061i	$-0.132054\pi$
$461$	10.9955	+	10.9955i	0.512112	+	0.512112i	−0.403061	+	0.915173i	$0.632054\pi$
$462$	4.60591	−	16.4586i	0.214286	−	0.765724i
$463$	27.7833			1.29120			0.645601	−	0.763675i	$-0.276607\pi$
$463$	27.7833			1.29120			0.645601	+	0.763675i	$0.276607\pi$
$464$	−18.2318	−	8.65435i	−0.846388	−	0.401768i
$465$	−0.155956	+	0.270124i	−0.00723230	+	0.0125267i
$466$	−23.6898	−	33.9563i	−1.09741	−	1.57299i
$467$	9.23166	−	34.4530i	0.427190	−	1.59430i	−0.331903	−	0.943314i	$-0.607691\pi$
$467$	9.23166	−	34.4530i	0.427190	−	1.59430i	0.759093	−	0.650982i	$-0.225643\pi$
$468$	9.35237	+	0.850558i	0.432314	+	0.0393170i
$469$	6.74586	−	9.44483i	0.311495	−	0.436122i
$470$	−0.848607	+	0.307221i	−0.0391433	+	0.0141710i
$471$	4.68774	−	2.70647i	0.215999	−	0.124707i
$472$	2.18876	−	1.24871i	0.100746	−	0.0574766i
$473$	−36.8955	−	21.3016i	−1.69646	−	0.979449i
$474$	5.28134	−	6.27218i	0.242580	−	0.288091i
$475$	−19.3683	+	19.3683i	−0.888677	+	0.888677i
$476$	−9.36966	−	26.8041i	−0.429457	−	1.22857i
$477$	−5.08666	−	5.08666i	−0.232902	−	0.232902i
$478$	−2.04799	−	23.8802i	−0.0936727	−	1.09225i
$479$	10.8354	−	18.7674i	0.495081	−	0.857506i	−0.504903	−	0.863176i	$-0.668472\pi$
$479$	10.8354	−	18.7674i	0.495081	−	0.857506i	0.999984	+	0.00567040i	$0.00180495\pi$
$480$	1.05257	+	2.30873i	0.0480431	+	0.105378i
$481$	−26.9805	−	46.7315i	−1.23020	−	2.13077i
$482$	−35.6963	−	16.7201i	−1.62592	−	0.761578i
$483$	−0.0195484	+	0.201693i	−0.000889483	+	0.00917736i
$484$	15.1564	−	12.6294i	0.688929	−	0.574065i
$485$	4.36187	+	1.16876i	0.198062	+	0.0530707i
$486$	1.39231	+	0.247964i	0.0631563	+	0.0112479i
$487$	13.0378	+	7.52736i	0.590798	+	0.341097i	0.765413	−	0.643539i	$-0.222535\pi$
$487$	13.0378	+	7.52736i	0.590798	+	0.341097i	−0.174615	+	0.984637i	$0.555868\pi$
$488$	−36.8852	−	0.189760i	−1.66972	−	0.00859003i
$489$		−	1.17563i		−	0.0531638i
$490$	−4.14069	−	1.60358i	−0.187057	−	0.0724422i
$491$	−1.85719	+	1.85719i	−0.0838140	+	0.0838140i	−0.747771	−	0.663957i	$-0.768876\pi$
$491$	−1.85719	+	1.85719i	−0.0838140	+	0.0838140i	0.663957	+	0.747771i	$0.268876\pi$
$492$	4.77583	+	10.3342i	0.215311	+	0.465902i
$493$	26.1514	−	7.00724i	1.17780	−	0.315590i
$494$	21.6867	+	31.0851i	0.975731	+	1.39859i
$495$	−1.02442	−	1.77434i	−0.0460441	−	0.0797508i
$496$	0.501791	−	2.73592i	0.0225311	−	0.122847i
$497$	15.4697	+	18.7902i	0.693910	+	0.842855i
$498$	−3.55589	+	7.59162i	−0.159343	+	0.340188i
$499$	−0.434724	+	1.62241i	−0.0194609	+	0.0726292i	−0.974973	−	0.222321i	$-0.928637\pi$
$499$	−0.434724	+	1.62241i	−0.0194609	+	0.0726292i	0.955512	+	0.294951i	$0.0953032\pi$
$500$	7.18333	+	5.06662i	0.321248	+	0.226586i
$501$	−1.15870	−	4.32432i	−0.0517668	−	0.193196i
$502$	−31.3259	−	26.3772i	−1.39814	−	1.17727i
$503$		−	10.5061i		−	0.468442i	−0.972183	−	0.234221i	$-0.924746\pi$
$503$		−	10.5061i		−	0.468442i	0.972183	−	0.234221i	$-0.0752539\pi$
$504$	7.44460	+	0.760220i	0.331609	+	0.0338629i
$505$			6.78878i			0.302097i
$506$	−0.318672	+	0.378458i	−0.0141667	+	0.0168245i
$507$	−2.34169	−	8.73929i	−0.103998	−	0.388126i
$508$	−9.08128	+	1.56918i	−0.402917	+	0.0696211i
$509$	−4.94249	+	18.4456i	−0.219072	+	0.817588i	0.765621	+	0.643292i	$0.222432\pi$
$509$	−4.94249	+	18.4456i	−0.219072	+	0.817588i	−0.984693	+	0.174297i	$0.944235\pi$
$510$	−3.08250	−	1.44384i	−0.136496	−	0.0639341i
$511$	24.2517	−	4.04272i	1.07283	−	0.178840i
$512$	−15.7512	−	16.2450i	−0.696110	−	0.717935i
$513$	2.85392	+	4.94314i	0.126004	+	0.218245i
$514$	−9.01663	+	6.29050i	−0.397707	+	0.277462i
$515$	−2.00133	+	0.536255i	−0.0881892	+	0.0236302i
$516$	6.44010	−	17.5070i	0.283509	−	0.770701i
$517$	−4.59534	+	4.59534i	−0.202103	+	0.202103i
$518$	−21.0863	−	37.4743i	−0.926477	−	1.64653i
$519$			4.53190i			0.198928i
$520$	4.23387	−	4.19053i	0.185668	−	0.183767i
$521$	−32.2089	−	18.5958i	−1.41110	−	0.814698i	−0.415606	−	0.909545i	$-0.636431\pi$
$521$	−32.2089	−	18.5958i	−1.41110	−	0.814698i	−0.995492	+	0.0948469i	$0.969764\pi$
$522$	−1.25107	+	7.02472i	−0.0547579	+	0.307464i
$523$	−7.62059	−	2.04193i	−0.333225	−	0.0892874i	0.0883270	−	0.996092i	$-0.471848\pi$
$523$	−7.62059	−	2.04193i	−0.333225	−	0.0892874i	−0.421552	+	0.906804i	$0.638515\pi$
$524$	1.76164	−	19.3703i	0.0769576	−	0.846193i
$525$	11.5566	−	5.25789i	0.504370	−	0.229473i
$526$	18.9134	−	40.3790i	0.824664	−	1.76061i
$527$	1.86575	+	3.23158i	0.0812736	+	0.140770i
$528$	13.9155	+	11.8401i	0.605595	+	0.515274i
$529$	−11.4971	+	19.9135i	−0.499872	+	0.865805i
$530$	−4.54649	+	0.389911i	−0.197487	+	0.0169367i
$531$	−0.629977	−	0.629977i	−0.0273387	−	0.0273387i
$532$	17.0061	+	24.9603i	0.737309	+	1.08217i
$533$	18.8993	−	18.8993i	0.818618	−	0.818618i
$534$	7.78714	+	6.55698i	0.336983	+	0.283748i
$535$	−1.95977	−	1.13147i	−0.0847283	−	0.0489179i
$536$	6.14859	+	10.7773i	0.265578	+	0.465510i
$537$	3.25531	−	1.87945i	0.140477	−	0.0811044i
$538$	5.27876	+	14.5810i	0.227584	+	0.628633i
$539$	−31.8991	+	2.19044i	−1.37399	+	0.0943489i
$540$	0.689182	−	0.574276i	0.0296577	−	0.0247129i
$541$	−3.40020	+	12.6897i	−0.146186	+	0.545573i	0.853514	+	0.521070i	$0.174467\pi$
$541$	−3.40020	+	12.6897i	−0.146186	+	0.545573i	−0.999700	+	0.0245031i	$0.992200\pi$
$542$	9.79252	−	6.83180i	0.420625	−	0.293451i
$543$	4.95598	−	8.58402i	0.212682	−	0.368375i
$544$	30.2158	+	2.90480i	1.29549	+	0.124542i
$545$	−5.60731			−0.240191
$546$	−4.35906	−	17.0195i	−0.186551	−	0.728369i
$547$	3.28164	+	3.28164i	0.140313	+	0.140313i	0.773774	−	0.633461i	$-0.218366\pi$
$547$	3.28164	+	3.28164i	0.140313	+	0.140313i	−0.633461	+	0.773774i	$0.718366\pi$
$548$	11.2555	+	4.14043i	0.480810	+	0.176870i
$549$	3.37528	+	12.5967i	0.144053	+	0.537614i
$550$	30.5190	+	5.43530i	1.30133	+	0.231762i
$551$	−24.9401	+	14.3991i	−1.06248	+	0.613424i
$552$	−0.187047	−	0.109279i	−0.00796125	−	0.00465120i
$553$	−14.3652	−	5.38117i	−0.610868	−	0.228831i
$554$	21.3320	−	7.72280i	0.906308	−	0.328110i
$555$	−4.97906	−	1.33413i	−0.211349	−	0.0566309i
$556$	−20.6508	+	29.2782i	−0.875790	+	1.24167i
$557$	26.3410	−	7.05804i	1.11610	−	0.299059i	0.346797	−	0.937940i	$-0.387269\pi$
$557$	26.3410	−	7.05804i	1.11610	−	0.299059i	0.769305	+	0.638881i	$0.220603\pi$
$558$	−0.979833	+	0.0840314i	−0.0414796	+	0.00355733i
$559$	−43.7946			−1.85231
$560$	3.41057	−	3.30173i	0.144123	−	0.139524i
$561$	−24.5109			−1.03485
$562$	−1.99476	+	0.171072i	−0.0841437	+	0.00721625i
$563$	−11.8383	+	3.17206i	−0.498924	+	0.133686i	−0.499501	−	0.866313i	$-0.666483\pi$
$563$	−11.8383	+	3.17206i	−0.498924	+	0.133686i	0.000576406		1.00000i	$0.499817\pi$
$564$	−2.32530	−	1.64010i	−0.0979127	−	0.0690609i
$565$	8.78191	+	2.35310i	0.369458	+	0.0989959i
$566$	28.2621	−	10.2317i	1.18795	−	0.430072i
$567$	−0.435040	−	2.60974i	−0.0182700	−	0.109599i
$568$	−25.1671	+	6.60493i	−1.05599	+	0.277137i
$569$	−9.87740	+	5.70272i	−0.414082	+	0.239071i	−0.692542	−	0.721377i	$-0.743509\pi$
$569$	−9.87740	+	5.70272i	−0.414082	+	0.239071i	0.278460	+	0.960448i	$0.410176\pi$
$570$	3.56461	+	0.634841i	0.149305	+	0.0265906i
$571$	1.10177	+	4.11186i	0.0461077	+	0.172076i	0.985140	−	0.171752i	$-0.0549428\pi$
$571$	1.10177	+	4.11186i	0.0461077	+	0.172076i	−0.939033	+	0.343828i	$0.888276\pi$
$572$	14.8093	−	40.2581i	0.619209	−	1.68328i
$573$	7.09586	+	7.09586i	0.296434	+	0.296434i
$574$	15.2259	−	14.8925i	0.635516	−	0.621602i
$575$	−0.367541			−0.0153275
$576$	−4.07107	+	6.88668i	−0.169628	+	0.286945i
$577$	−16.9474	+	29.3538i	−0.705531	+	1.22201i	0.260969	+	0.965347i	$0.415958\pi$
$577$	−16.9474	+	29.3538i	−0.705531	+	1.22201i	−0.966500	+	0.256668i	$0.917375\pi$
$578$	−13.6800	+	9.54394i	−0.569014	+	0.396976i
$579$	−0.322376	+	1.20313i	−0.0133975	+	0.0500002i
$580$	2.89744	+	3.47719i	0.120310	+	0.144382i
$581$	15.6103	+	1.51297i	0.647623	+	0.0627686i
$582$	4.84663	+	13.3874i	0.200899	+	0.554925i
$583$	−28.4565	+	16.4294i	−1.17855	+	0.680434i
$584$	−6.93330	+	25.3530i	−0.286902	+	1.04911i
$585$	−1.82396	−	1.05306i	−0.0754115	−	0.0435389i
$586$	−7.61977	−	6.41604i	−0.314770	−	0.265044i
$587$	4.89518	−	4.89518i	0.202046	−	0.202046i	−0.598830	−	0.800876i	$-0.704368\pi$
$587$	4.89518	−	4.89518i	0.202046	−	0.202046i	0.800876	+	0.598830i	$0.204368\pi$
$588$	−3.32326	−	13.5999i	−0.137049	−	0.560848i
$589$	−2.80663	−	2.80663i	−0.115645	−	0.115645i
$590$	−0.563078	+	0.0482901i	−0.0231815	+	0.00198807i
$591$	−1.49487	+	2.58919i	−0.0614907	+	0.106505i
$592$	45.8198	−	3.69220i	1.88318	−	0.151748i
$593$	9.82441	+	17.0164i	0.403440	+	0.698779i	0.994139	−	0.108114i	$-0.0344810\pi$
$593$	9.82441	+	17.0164i	0.403440	+	0.698779i	−0.590698	+	0.806892i	$0.701148\pi$
$594$	2.74005	−	5.84985i	0.112426	−	0.240022i
$595$	−0.614327	+	6.33840i	−0.0251849	+	0.259849i
$596$	14.8912	+	1.35429i	0.609966	+	0.0554737i
$597$	13.8249	+	3.70437i	0.565816	+	0.151610i
$598$	−0.0891746	+	0.500712i	−0.00364662	+	0.0204756i
$599$	15.8700	+	9.16255i	0.648431	+	0.374372i	0.787855	−	0.615861i	$-0.211192\pi$
$599$	15.8700	+	9.16255i	0.648431	+	0.374372i	−0.139424	+	0.990233i	$0.544525\pi$
$600$	−0.0698272	+	13.5729i	−0.00285068	+	0.554111i
$601$			16.0859i			0.656159i	0.944650	+	0.328079i	$0.106401\pi$
$601$			16.0859i			0.656159i	−0.944650	+	0.328079i	$0.893599\pi$
$602$	−34.8961	−	0.386248i	−1.42226	−	0.0157423i
$603$	3.10197	−	3.10197i	0.126322	−	0.126322i
$604$	−0.975470	−	0.358835i	−0.0396913	−	0.0146008i
$605$	−4.27382	+	1.14517i	−0.173755	+	0.0465576i
$606$	−17.5545	+	12.2470i	−0.713101	+	0.497498i
$607$	4.07421	+	7.05674i	0.165367	+	0.286424i	0.936786	−	0.349904i	$-0.113786\pi$
$607$	4.07421	+	7.05674i	0.165367	+	0.286424i	−0.771419	+	0.636328i	$0.780452\pi$
$608$	−31.8448	+	5.33399i	−1.29148	+	0.216322i
$609$	13.1671	−	2.19494i	0.533560	−	0.0889436i
$610$	7.49136	+	3.50893i	0.303316	+	0.142072i
$611$	−1.72905	+	6.45290i	−0.0699499	+	0.261056i
$612$	−1.82736	−	10.5754i	−0.0738665	−	0.427486i
$613$	6.72670	+	25.1044i	0.271689	+	1.01396i	0.958028	+	0.286675i	$0.0925501\pi$
$613$	6.72670	+	25.1044i	0.271689	+	1.01396i	−0.686339	+	0.727282i	$0.740783\pi$
$614$	−22.8090	+	27.0882i	−0.920495	+	1.09319i
$615$		−	2.55320i		−	0.102955i
$616$	12.1553	−	31.9476i	0.489752	−	1.28721i
$617$			19.3027i			0.777097i	0.921428	+	0.388548i	$0.127023\pi$
$617$			19.3027i			0.777097i	−0.921428	+	0.388548i	$0.872977\pi$
$618$	−4.99705	−	4.20765i	−0.201011	−	0.169256i
$619$	−2.51139	−	9.37262i	−0.100941	−	0.376717i	0.896912	−	0.442209i	$-0.145805\pi$
$619$	−2.51139	−	9.37262i	−0.100941	−	0.376717i	−0.997853	+	0.0654918i	$0.979138\pi$
$620$	−0.359562	+	0.509777i	−0.0144404	+	0.0204732i
$621$	−0.0198230	+	0.0739804i	−0.000795469	+	0.00296873i
$622$	−10.3078	+	22.0066i	−0.413306	+	0.882383i
$623$	6.68093	−	17.8349i	0.267666	−	0.714539i
$624$	18.4738	+	3.38825i	0.739544	+	0.135638i
$625$	11.0113	+	19.0721i	0.440452	+	0.762886i
$626$	−3.35912	−	4.81488i	−0.134258	−	0.192441i
$627$	25.1836	−	6.74794i	1.00574	−	0.269487i
$628$	9.82720	−	4.54153i	0.392148	−	0.181227i
$629$	−43.6054	+	43.6054i	−1.73866	+	1.73866i
$630$	−1.44407	−	0.855183i	−0.0575331	−	0.0340713i
$631$		−	11.6848i		−	0.465166i	−0.972577	−	0.232583i	$-0.925282\pi$
$631$		−	11.6848i		−	0.465166i	0.972577	−	0.232583i	$-0.0747178\pi$
$632$	11.6554	−	11.5361i	0.463628	−	0.458882i
$633$	6.34527	+	3.66344i	0.252202	+	0.145609i
$634$	−40.8626	−	7.27746i	−1.62286	−	0.289025i
$635$	1.99643	+	0.534942i	0.0792259	+	0.0212285i
$636$	−9.21010	−	11.0529i	−0.365204	−	0.438277i
$637$	−27.2721	+	18.3456i	−1.08056	+	0.726880i
$638$	29.5148	+	13.8246i	1.16850	+	0.547322i
$639$	4.59962	+	7.96678i	0.181958	+	0.315161i
$640$	1.67828	+	4.78914i	0.0663398	+	0.189307i
$641$	−2.17459	+	3.76650i	−0.0858911	+	0.148768i	−0.905771	−	0.423768i	$-0.860707\pi$
$641$	−2.17459	+	3.76650i	−0.0858911	+	0.148768i	0.819880	+	0.572536i	$0.194040\pi$
$642$	−0.609654	−	7.10876i	−0.0240611	−	0.280560i
$643$	9.75042	+	9.75042i	0.384519	+	0.384519i	0.872727	−	0.488208i	$-0.162349\pi$
$643$	9.75042	+	9.75042i	0.384519	+	0.384519i	−0.488208	+	0.872727i	$0.662349\pi$
$644$	−0.0754716	+	0.398188i	−0.00297400	+	0.0156908i
$645$	−2.95821	+	2.95821i	−0.116480	+	0.116480i
$646$	27.8996	−	33.1338i	1.09769	−	1.30363i
$647$	7.73295	+	4.46462i	0.304014	+	0.175522i	0.644245	−	0.764820i	$-0.277172\pi$
$647$	7.73295	+	4.46462i	0.304014	+	0.175522i	−0.340231	+	0.940342i	$0.610505\pi$
$648$	2.72825	+	0.746096i	0.107176	+	0.0293094i
$649$	−3.52430	+	2.03476i	−0.138341	+	0.0798711i
$650$	29.9630	−	10.8475i	1.17524	−	0.425473i
$651$	0.761915	+	1.67465i	0.0298618	+	0.0656347i
$652$	0.212958	−	2.34159i	0.00834007	−	0.0917039i
$653$	−6.84728	+	25.5544i	−0.267955	+	1.00002i	0.692462	+	0.721454i	$0.256526\pi$
$653$	−6.84728	+	25.5544i	−0.267955	+	1.00002i	−0.960417	+	0.278567i	$0.910141\pi$
$654$	−10.1156	−	14.4994i	−0.395551	−	0.566972i
$655$	−2.18106	+	3.77771i	−0.0852212	+	0.147608i
$656$	7.64044	+	21.4486i	0.298309	+	0.837426i
$657$	9.29276			0.362545
$658$	−1.43464	+	5.12651i	−0.0559282	+	0.199852i
$659$	−30.0545	−	30.0545i	−1.17076	−	1.17076i	−0.982029	−	0.188729i	$-0.939563\pi$
$659$	−30.0545	−	30.0545i	−1.17076	−	1.17076i	−0.188729	−	0.982029i	$-0.560437\pi$
$660$	−1.71900	−	3.71967i	−0.0669121	−	0.144788i
$661$	−3.14802	−	11.7486i	−0.122444	−	0.456966i	0.877292	−	0.479957i	$-0.159348\pi$
$661$	−3.14802	−	11.7486i	−0.122444	−	0.456966i	−0.999736	+	0.0229909i	$0.992681\pi$
$662$	0.143651	−	0.806595i	0.00558315	−	0.0313492i
$663$	−21.8206	+	12.5982i	−0.847443	+	0.489272i
$664$	−8.45773	+	14.4767i	−0.328223	+	0.561805i
$665$	−1.11380	−	6.68150i	−0.0431912	−	0.259098i
$666$	−5.53240	−	15.2816i	−0.214376	−	0.592152i
$667$	−0.373260	−	0.100015i	−0.0144527	−	0.00387258i
$668$	−1.52455	−	8.82299i	−0.0589865	−	0.341372i
$669$	6.66449	−	1.78574i	0.257664	−	0.0690408i
$670$	−0.237778	−	2.77256i	−0.00918615	−	0.107113i
$671$	59.5684			2.29961
$672$	14.6903	+	2.86273i	0.566690	+	0.110432i
$673$	19.8302			0.764399			0.382200	−	0.924080i	$-0.375167\pi$
$673$	19.8302			0.764399			0.382200	+	0.924080i	$0.375167\pi$
$674$	−2.48133	−	28.9331i	−0.0955772	−	1.11446i
$675$	4.63529	−	1.24202i	0.178413	−	0.0478055i
$676$	−3.08106	−	17.8309i	−0.118502	−	0.685805i
$677$	−39.4645	−	10.5745i	−1.51675	−	0.406411i	−0.598076	−	0.801439i	$-0.704068\pi$
$677$	−39.4645	−	10.5745i	−1.51675	−	0.406411i	−0.918669	+	0.395028i	$0.870735\pi$
$678$	9.75788	+	26.9533i	0.374749	+	1.03513i
$679$	20.5638	−	16.9299i	0.789167	−	0.649709i
$680$	−5.87813	−	3.43418i	−0.225416	−	0.131695i
$681$	12.8389	−	7.41253i	0.491987	−	0.284049i
$682$	−0.787623	+	4.42247i	−0.0301596	+	0.169345i
$683$	−12.1333	−	45.2821i	−0.464268	−	1.73267i	−0.659306	−	0.751875i	$-0.729150\pi$
$683$	−12.1333	−	45.2821i	−0.464268	−	1.73267i	0.195038	−	0.980796i	$-0.437517\pi$
$684$	4.78897	+	10.3626i	0.183111	+	0.396225i
$685$	−1.90188	−	1.90188i	−0.0726670	−	0.0726670i
$686$	−21.8926	+	14.3775i	−0.835864	+	0.548936i
$687$	−3.06661			−0.116999
$688$	15.9985	−	33.7034i	0.609938	−	1.28493i
$689$	−16.8888	+	29.2522i	−0.643412	+	1.11442i
$690$	0.0277983	+	0.0398453i	0.00105826	+	0.00151689i
$691$	−7.73860	+	28.8808i	−0.294390	+	1.09868i	0.647310	+	0.762226i	$0.275894\pi$
$691$	−7.73860	+	28.8808i	−0.294390	+	1.09868i	−0.941701	+	0.336452i	$0.890773\pi$
$692$	−0.820925	+	9.02654i	−0.0312069	+	0.343138i
$693$	−12.0288	−	1.16585i	−0.456935	−	0.0442868i
$694$	36.1450	−	13.0855i	1.37204	−	0.496721i
$695$	6.95876	−	4.01764i	0.263961	−	0.152398i
$696$	−3.76434	+	13.7651i	−0.142687	+	0.521764i
$697$	−26.4525	−	15.2724i	−1.00196	−	0.578482i
$698$	8.57356	−	10.1821i	0.324514	−	0.385397i
$699$	−20.7017	+	20.7017i	−0.783009	+	0.783009i
$700$	23.9706	−	8.37917i	0.906003	−	0.316703i
$701$	17.4187	+	17.4187i	0.657894	+	0.657894i	0.954881	−	0.296988i	$-0.0959820\pi$
$701$	17.4187	+	17.4187i	0.657894	+	0.657894i	−0.296988	+	0.954881i	$0.595982\pi$
$702$	−0.567406	−	6.61613i	−0.0214154	−	0.249710i
$703$	32.7975	−	56.8070i	1.23698	−	2.14252i
$704$	25.5719	+	26.1036i	0.963776	+	0.983816i
$705$	0.319084	+	0.552670i	0.0120174	+	0.0208148i
$706$	−11.0525	−	5.17697i	−0.415967	−	0.194838i
$707$	32.5858	+	23.2740i	1.22551	+	0.875310i
$708$	−1.14066	−	1.36889i	−0.0428686	−	0.0514461i
$709$	12.1161	+	3.24649i	0.455028	+	0.121924i	0.479051	−	0.877787i	$-0.340981\pi$
$709$	12.1161	+	3.24649i	0.455028	+	0.121924i	−0.0240231	+	0.999711i	$0.507648\pi$
$710$	5.74501	+	1.02316i	0.215607	+	0.0383986i
$711$	−5.02118	−	2.89898i	−0.188309	−	0.108720i
$712$	14.3225	+	14.4706i	0.536759	+	0.542310i
$713$		−	0.0532600i		−	0.00199460i
$714$	−17.4981	+	9.84593i	−0.654850	+	0.368475i
$715$	−6.80256	+	6.80256i	−0.254401	+	0.254401i
$716$	6.82431	−	3.15378i	0.255036	−	0.117862i
$717$	−16.3703	+	4.38642i	−0.611361	+	0.163814i
$718$	6.06134	+	8.68816i	0.226207	+	0.324239i
$719$	−25.5703	−	44.2890i	−0.953611	−	1.65170i	−0.737516	−	0.675329i	$-0.764002\pi$
$719$	−25.5703	−	44.2890i	−0.953611	−	1.65170i	−0.216094	−	0.976373i	$-0.569332\pi$
$720$	1.47673	−	1.01899i	0.0550343	−	0.0379755i
$721$	−4.28718	+	11.4447i	−0.159663	+	0.426224i
$722$	−8.14595	+	17.3911i	−0.303161	+	0.647230i
$723$	−7.21402	+	26.9231i	−0.268292	+	1.00128i
$724$	11.4262	−	16.1997i	0.424650	−	0.602058i
$725$	6.26649	+	23.3868i	0.232731	+	0.868566i
$726$	−10.6711	−	8.98538i	−0.396043	−	0.333479i
$727$		−	22.8112i		−	0.846022i	−0.906125	−	0.423011i	$-0.860973\pi$
$727$		−	22.8112i		−	0.846022i	0.906125	−	0.423011i	$-0.139027\pi$
$728$	−5.59931	−	34.6888i	−0.207524	−	1.28565i
$729$		−	1.00000i		−	0.0370370i
$730$	3.79680	−	4.50913i	0.140526	−	0.166890i
$731$	12.9537	+	48.3437i	0.479109	+	1.78806i
$732$	4.44100	+	25.7013i	0.164144	+	0.949947i
$733$	−4.36619	+	16.2948i	−0.161269	+	0.601864i	0.837218	+	0.546870i	$0.184181\pi$
$733$	−4.36619	+	16.2948i	−0.161269	+	0.601864i	−0.998487	+	0.0549941i	$0.982486\pi$
$734$	−17.0838	−	8.00199i	−0.630573	−	0.295359i
$735$	−0.602965	+	3.08136i	−0.0222407	+	0.113658i
$736$	−0.352761	−	0.251541i	−0.0130030	−	0.00927193i
$737$	−10.0190	−	17.3535i	−0.369056	−	0.639223i
$738$	6.60206	−	4.60596i	0.243025	−	0.169548i
$739$	12.8110	−	3.43270i	0.471261	−	0.126274i	−0.0153694	−	0.999882i	$-0.504892\pi$
$739$	12.8110	−	3.43270i	0.471261	−	0.126274i	0.486631	+	0.873608i	$0.338226\pi$
$740$	−9.67552	−	3.55923i	−0.355679	−	0.130840i
$741$	18.9513	−	18.9513i	0.696192	−	0.696192i
$742$	−13.7152	+	23.1596i	−0.503501	+	0.850217i
$743$			30.8342i			1.13120i	0.824680	+	0.565599i	$0.191355\pi$
$743$			30.8342i			1.13120i	−0.824680	+	0.565599i	$0.808645\pi$
$744$	−1.96683	−	0.0101186i	−0.0721076	−	0.000370965i
$745$	−2.90417	−	1.67672i	−0.106401	−	0.0614304i
$746$	2.87196	−	16.1259i	0.105150	−	0.590412i
$747$	5.72579	+	1.53422i	0.209496	+	0.0561342i
$748$	−48.8202	−	4.43999i	−1.78504	−	0.162342i
$749$	−12.1497	+	5.52775i	−0.443941	+	0.201980i
$750$	2.63654	−	5.62886i	0.0962729	−	0.205537i
$751$	−8.35243	−	14.4668i	−0.304785	−	0.527902i	0.672429	−	0.740162i	$-0.265251\pi$
$751$	−8.35243	−	14.4668i	−0.304785	−	0.527902i	−0.977213	+	0.212259i	$0.931918\pi$
$752$	−4.33439	−	3.68794i	−0.158059	−	0.134485i
$753$	−14.4787	+	25.0779i	−0.527634	+	0.913888i
$754$	33.3809	−	2.86278i	1.21566	−	0.104256i
$755$	0.164829	+	0.164829i	0.00599873	+	0.00599873i
$756$	−0.393766	−	5.27683i	−0.0143211	−	0.191916i
$757$	−10.9905	+	10.9905i	−0.399458	+	0.399458i	−0.878042	−	0.478584i	$-0.841150\pi$
$757$	−10.9905	+	10.9905i	−0.399458	+	0.399458i	0.478584	+	0.878042i	$0.341150\pi$
$758$	27.6835	+	23.3103i	1.00551	+	0.846667i
$759$	0.302974	+	0.174922i	0.0109973	+	0.00634928i
$760$	6.98491	+	1.91017i	0.253369	+	0.0692891i
$761$	−29.3824	+	16.9640i	−1.06511	+	0.614943i	−0.926842	−	0.375451i	$-0.877488\pi$
$761$	−29.3824	+	16.9640i	−1.06511	+	0.614943i	−0.138271	+	0.990394i	$0.544154\pi$
$762$	2.21830	+	6.12741i	0.0803606	+	0.221973i
$763$	−19.2236	+	26.9148i	−0.695941	+	0.974381i
$764$	12.8480	+	15.4188i	0.464825	+	0.557832i
$765$	−0.622956	+	2.32490i	−0.0225230	+	0.0840570i
$766$	−19.4347	+	13.5587i	−0.702204	+	0.489896i
$767$	−2.09166	+	3.62286i	−0.0755254	+	0.130814i
$768$	−9.35616	+	12.9793i	−0.337611	+	0.468350i
$769$	−12.9494			−0.466967			−0.233483	−	0.972361i	$-0.575012\pi$
$769$	−12.9494			−0.466967			−0.233483	+	0.972361i	$0.575012\pi$
$770$	−5.48037	+	5.36038i	−0.197499	+	0.193175i
$771$	5.49704	+	5.49704i	0.197971	+	0.197971i
$772$	−0.860042	+	2.33796i	−0.0309536	+	0.0841452i
$773$	−7.60591	−	28.3856i	−0.273565	−	1.02096i	−0.956797	−	0.290758i	$-0.906093\pi$
$773$	−7.60591	−	28.3856i	−0.273565	−	1.02096i	0.683231	−	0.730202i	$-0.260574\pi$
$774$	−12.9860	−	2.31275i	−0.466771	−	0.0831299i
$775$	−2.88996	+	1.66852i	−0.103811	+	0.0599350i
$776$	7.22837	+	27.5427i	0.259483	+	0.988724i
$777$	−23.4735	+	19.3254i	−0.842108	+	0.693294i
$778$	−47.2204	+	17.0952i	−1.69293	+	0.612892i
$779$	31.3831	+	8.40908i	1.12442	+	0.301286i
$780$	−3.44217	−	2.42787i	−0.123250	−	0.0869318i
$781$	40.5880	−	10.8755i	1.45235	−	0.389157i
$782$	0.579099	−	0.0496641i	0.0207085	−	0.00177598i
$783$	5.04539			0.180307
$784$	−4.15567	−	27.6899i	−0.148417	−	0.988925i
$785$	−2.42794			−0.0866567
$786$	−13.7031	+	1.17519i	−0.488772	+	0.0419176i
$787$	50.9112	−	13.6416i	1.81479	−	0.486271i	0.818668	−	0.574267i	$-0.194713\pi$
$787$	50.9112	−	13.6416i	1.81479	−	0.486271i	0.996121	+	0.0879953i	$0.0280460\pi$
$788$	−3.44646	+	4.88631i	−0.122775	+	0.174067i
$789$	−30.4549	−	8.16036i	−1.08422	−	0.290517i
$790$	−3.45821	+	1.25197i	−0.123038	+	0.0445432i
$791$	41.4018	−	34.0855i	1.47208	−	1.21194i
$792$	6.51725	−	11.1553i	0.231580	−	0.396385i
$793$	53.0303	−	30.6171i	1.88316	−	1.08724i
$794$	48.9014	+	8.70913i	1.73545	+	0.309075i
$795$	0.835120	+	3.11671i	0.0296187	+	0.110538i
$796$	26.8652	+	9.88259i	0.952210	+	0.350279i
$797$	31.3272	+	31.3272i	1.10967	+	1.10967i	0.993194	+	0.116471i	$0.0371582\pi$
$797$	31.3272	+	31.3272i	1.10967	+	1.10967i	0.116471	+	0.993194i	$0.462842\pi$
$798$	15.2678	−	14.9335i	0.540473	−	0.528640i
$799$	7.63461			0.270093
$800$	−2.59773	+	27.0216i	−0.0918435	+	0.955357i
$801$	3.59919	−	6.23399i	0.127171	−	0.220267i
$802$	12.6802	−	8.84643i	0.447755	−	0.312378i
$803$	10.9861	−	41.0007i	0.387691	−	1.44688i
$804$	6.74035	−	5.61655i	0.237714	−	0.198080i
$805$	0.0528277	−	0.0739636i	0.00186193	−	0.00260688i
$806$	1.57190	+	4.34190i	0.0553677	+	0.152937i
$807$	9.49615	−	5.48261i	0.334280	−	0.192997i
$808$	−37.1831	+	21.2134i	−1.30810	+	0.746283i
$809$	4.94142	+	2.85293i	0.173731	+	0.100304i	0.584344	−	0.811506i	$-0.301352\pi$
$809$	4.94142	+	2.85293i	0.173731	+	0.100304i	−0.410613	+	0.911810i	$0.634685\pi$
$810$	−0.485230	−	0.408576i	−0.0170492	−	0.0143559i
$811$	23.7865	−	23.7865i	0.835256	−	0.835256i	−0.152974	−	0.988230i	$-0.548885\pi$
$811$	23.7865	−	23.7865i	0.835256	−	0.835256i	0.988230	+	0.152974i	$0.0488851\pi$
$812$	26.6237	−	1.98670i	0.934307	−	0.0697195i
$813$	−5.97007	−	5.97007i	−0.209380	−	0.209380i
$814$	−73.9648	+	6.34329i	−2.59246	+	0.222332i
$815$	−0.263660	+	0.456673i	−0.00923562	+	0.0159966i
$816$	−1.72402	−	21.3949i	−0.0603528	−	0.748972i
$817$	−26.6184	−	46.1045i	−0.931261	−	1.61299i
$818$	9.71301	−	20.7367i	0.339607	−	0.725041i
$819$	−11.3078	+	5.14469i	−0.395125	+	0.179770i
$820$	0.462496	−	5.08541i	0.0161510	−	0.177590i
$821$	31.7817	+	8.51589i	1.10919	+	0.297207i	0.766502	−	0.642242i	$-0.221996\pi$
$821$	31.7817	+	8.51589i	1.10919	+	0.297207i	0.342689	+	0.939449i	$0.388662\pi$
$822$	1.48690	−	8.34887i	0.0518615	−	0.291200i
$823$	−15.1472	−	8.74523i	−0.527998	−	0.304840i	0.212203	−	0.977226i	$-0.431936\pi$
$823$	−15.1472	−	8.74523i	−0.527998	−	0.304840i	−0.740201	+	0.672386i	$0.765270\pi$
$824$	−9.19083	−	9.28589i	−0.320178	−	0.323489i
$825$		−	21.9198i		−	0.763148i
$826$	−1.69861	+	2.86829i	−0.0591023	+	0.0998007i
$827$	−30.6363	+	30.6363i	−1.06533	+	1.06533i	−0.0676181	+	0.997711i	$0.521540\pi$
$827$	−30.6363	+	30.6363i	−1.06533	+	1.06533i	−0.997711	+	0.0676181i	$0.978460\pi$
$828$	−0.0528841	+	0.143762i	−0.00183785	+	0.00499607i
$829$	11.2214	−	3.00677i	0.389736	−	0.104429i	−0.0586296	−	0.998280i	$-0.518673\pi$
$829$	11.2214	−	3.00677i	0.389736	−	0.104429i	0.448365	+	0.893850i	$0.352006\pi$
$830$	3.08387	−	2.15148i	0.107043	−	0.0746789i
$831$	−8.02102	−	13.8928i	−0.278246	−	0.481937i
$832$	36.1820	+	10.0951i	1.25438	+	0.349983i
$833$	28.3179	+	24.6787i	0.981156	+	0.855067i
$834$	22.9424	+	10.7462i	0.794431	+	0.372109i
$835$	−0.519727	+	1.93965i	−0.0179859	+	0.0671242i
$836$	51.3826	−	8.87854i	1.77710	−	0.307071i
$837$	0.179980	+	0.671695i	0.00622102	+	0.0232172i
$838$	−1.59937	+	1.89943i	−0.0552492	+	0.0656146i
$839$		−	44.4900i		−	1.53597i	−0.640470	−	0.767983i	$-0.721260\pi$
$839$		−	44.4900i		−	1.53597i	0.640470	−	0.767983i	$-0.278740\pi$
$840$	−2.72136	−	1.96492i	−0.0938958	−	0.0677962i
$841$		−	3.54408i		−	0.122210i
$842$	8.28165	+	6.97337i	0.285405	+	0.240318i
$843$	0.366406	+	1.36745i	0.0126197	+	0.0470973i
$844$	11.9748	+	8.44617i	0.412188	+	0.290729i
$845$	−1.05035	+	3.91995i	−0.0361331	+	0.134850i
$846$	−0.853469	+	1.82211i	−0.0293429	+	0.0626453i
$847$	−9.15523	+	24.4401i	−0.314577	+	0.839771i
$848$	−16.3423	−	23.6834i	−0.561198	−	0.813290i
$849$	−10.6268	−	18.4062i	−0.364712	−	0.631700i
$850$	−20.8368	−	29.8669i	−0.714695	−	1.02443i
$851$	0.850189	−	0.227807i	0.0291441	−	0.00780914i
$852$	7.71830	+	16.7013i	0.264425	+	0.572176i
$853$	12.1257	−	12.1257i	0.415174	−	0.415174i	−0.468362	−	0.883537i	$-0.655156\pi$
$853$	12.1257	−	12.1257i	0.415174	−	0.415174i	0.883537	+	0.468362i	$0.155156\pi$
$854$	42.5253	−	23.9284i	1.45519	−	0.818814i
$855$		−	2.56022i		−	0.0875576i
$856$	0.0734110	−	14.2695i	0.00250914	−	0.487722i
$857$	33.3687	+	19.2654i	1.13985	+	0.658095i	0.946394	−	0.323014i	$-0.104696\pi$
$857$	33.3687	+	19.2654i	1.13985	+	0.658095i	0.193459	+	0.981108i	$0.438029\pi$
$858$	−29.8619	−	5.31827i	−1.01947	−	0.181563i
$859$	13.5176	+	3.62203i	0.461214	+	0.123582i	0.481942	−	0.876203i	$-0.339932\pi$
$859$	13.5176	+	3.62203i	0.461214	+	0.123582i	−0.0207276	+	0.999785i	$0.506598\pi$
$860$	−6.42797	+	5.35625i	−0.219192	+	0.182647i
$861$	−12.2552	−	8.75314i	−0.417656	−	0.298306i
$862$	32.7608	+	15.3450i	1.11584	+	0.522654i
$863$	−3.01290	−	5.21850i	−0.102560	−	0.177640i	0.810179	−	0.586183i	$-0.199370\pi$
$863$	−3.01290	−	5.21850i	−0.102560	−	0.177640i	−0.912739	+	0.408544i	$0.866037\pi$
$864$	5.29892	+	1.98026i	0.180273	+	0.0673700i
$865$	1.01638	−	1.76042i	0.0345578	−	0.0598559i
$866$	3.27289	+	38.1629i	0.111217	+	1.29683i
$867$	8.34011	+	8.34011i	0.283245	+	0.283245i
$868$	1.21421	+	3.47355i	0.0412131	+	0.117900i
$869$	−18.7268	+	18.7268i	−0.635262	+	0.635262i
$870$	2.06142	−	2.44817i	0.0698888	−	0.0830008i
$871$	−17.8387	−	10.2992i	−0.604443	−	0.348975i
$872$	−17.5215	−	30.7120i	−0.593354	−	1.04004i
$873$	8.71877	−	5.03378i	0.295086	−	0.170368i
$874$	−0.581322	+	0.210455i	−0.0196635	+	0.00711876i
$875$	−11.5743	−	1.12180i	−0.391284	−	0.0379239i
$876$	18.5091	+	1.68333i	0.625366	+	0.0568743i
$877$	−8.69792	+	32.4611i	−0.293708	+	1.09613i	0.648530	+	0.761189i	$0.275384\pi$
$877$	−8.69792	+	32.4611i	−0.293708	+	1.09613i	−0.942238	+	0.334944i	$0.891283\pi$
$878$	2.12318	+	3.04331i	0.0716538	+	0.102707i
$879$	−3.52183	+	6.09999i	−0.118788	+	0.205748i
$880$	−2.75008	−	7.72014i	−0.0927052	−	0.260246i
$881$	−0.0852719			−0.00287288			−0.00143644	−	0.999999i	$-0.500457\pi$
$881$	−0.0852719			−0.00287288			−0.00143644	+	0.999999i	$0.500457\pi$
$882$	−9.05555	+	3.99963i	−0.304916	+	0.134674i
$883$	−3.73262	−	3.73262i	−0.125613	−	0.125613i	0.641506	−	0.767118i	$-0.278310\pi$
$883$	−3.73262	−	3.73262i	−0.125613	−	0.125613i	−0.767118	+	0.641506i	$0.778310\pi$
$884$	−45.7440	+	21.1401i	−1.53854	+	0.711017i
$885$	0.103429	+	0.386001i	0.00347672	+	0.0129753i
$886$	−4.38382	+	24.6150i	−0.147277	+	0.826957i
$887$	−14.1601	+	8.17536i	−0.475451	+	0.274502i	−0.718519	−	0.695508i	$-0.755180\pi$
$887$	−14.1601	+	8.17536i	−0.475451	+	0.274502i	0.243068	+	0.970009i	$0.421846\pi$
$888$	−8.25116	−	31.4398i	−0.276891	−	1.05505i
$889$	9.41207	−	7.74881i	0.315671	−	0.259887i
$890$	−1.55437	−	4.29349i	−0.0521026	−	0.143918i
$891$	−4.41211	−	1.18222i	−0.147811	−	0.0396059i
$892$	13.5977	−	2.34958i	0.455284	−	0.0786697i
$893$	−7.84417	+	2.10184i	−0.262495	+	0.0703354i
$894$	−0.903442	−	10.5344i	−0.0302156	−	0.352324i
$895$	−1.68603			−0.0563579
$896$	28.7413	+	8.36299i	0.960178	+	0.279388i
$897$	0.359628			0.0120076
$898$	1.58889	+	18.5270i	0.0530219	+	0.618252i
$899$	−3.38896	+	0.908069i	−0.113028	+	0.0302858i
$900$	9.45747	−	1.63418i	0.315249	−	0.0544727i
$901$	37.2862	+	9.99081i	1.24218	+	0.332842i
$902$	−12.5169	−	34.5743i	−0.416767	−	1.15120i
$903$	4.05760	+	24.3409i	0.135028	+	0.810016i
$904$	14.5531	+	55.4526i	0.484030	+	1.84433i
$905$	−3.85031	+	2.22297i	−0.127988	+	0.0738942i
$906$	−0.128864	+	0.723565i	−0.00428121	+	0.0240388i
$907$	−11.5936	−	43.2681i	−0.384961	−	1.43669i	−0.838229	−	0.545319i	$-0.816409\pi$
$907$	−11.5936	−	43.2681i	−0.384961	−	1.43669i	0.453268	−	0.891374i	$-0.350258\pi$
$908$	26.9149	−	12.4384i	0.893204	−	0.412784i
$909$	10.7022	+	10.7022i	0.354969	+	0.354969i
$910$	−2.12372	+	7.58886i	−0.0704008	+	0.251568i
$911$	−21.2723			−0.704782			−0.352391	−	0.935853i	$-0.614631\pi$
$911$	−21.2723			−0.704782			−0.352391	+	0.935853i	$0.614631\pi$
$912$	7.66145	+	21.5076i	0.253696	+	0.712186i
$913$	13.5383	−	23.4490i	0.448052	−	0.776049i
$914$	−6.76346	−	9.69456i	−0.223715	−	0.320667i
$915$	1.51396	−	5.65017i	0.0500499	−	0.186789i
$916$	−6.10802	−	0.555498i	−0.201815	−	0.0183542i
$917$	10.6555	+	23.4202i	0.351874	+	0.773402i
$918$	−7.13555	+	2.58328i	−0.235508	+	0.0852609i
$919$	−37.7516	+	21.7959i	−1.24531	+	0.718980i	−0.970170	−	0.242425i	$-0.922057\pi$
$919$	−37.7516	+	21.7959i	−1.24531	+	0.718980i	−0.275139	+	0.961404i	$0.588724\pi$
$920$	0.0481503	+	0.0843986i	0.00158747	+	0.00278254i
$921$	21.6854	+	12.5201i	0.714559	+	0.412551i
$922$	14.1644	−	16.8218i	0.466481	−	0.553998i
$923$	30.5434	−	30.5434i	1.00535	−	1.00535i
$924$	−23.7475	−	4.50104i	−0.781234	−	0.148073i
$925$	−38.9958	−	38.9958i	−1.28217	−	1.28217i
$926$	−3.35736	−	39.1479i	−0.110330	−	1.28648i
$927$	−2.30962	+	4.00038i	−0.0758579	+	0.131390i
$928$	−9.99120	+	26.7351i	−0.327977	+	0.877623i
$929$	8.59859	+	14.8932i	0.282111	+	0.488630i	0.971904	−	0.235376i	$-0.0756321\pi$
$929$	8.59859	+	14.8932i	0.282111	+	0.488630i	−0.689794	+	0.724006i	$0.742299\pi$
$930$	0.399462	+	0.187107i	0.0130989	+	0.00613547i
$931$	−35.8893	−	17.5601i	−1.17622	−	0.575508i
$932$	−44.9831	+	37.4832i	−1.47347	+	1.22780i
$933$	16.5979	+	4.44740i	0.543391	+	0.145601i
$934$	−49.6613	−	8.84446i	−1.62497	−	0.289400i
$935$	9.52125	+	5.49709i	0.311378	+	0.179774i
$936$	0.0683237	−	13.2807i	0.00223323	−	0.434092i
$937$		−	42.7990i		−	1.39818i	−0.715033	−	0.699091i	$-0.753588\pi$
$937$		−	42.7990i		−	1.39818i	0.715033	−	0.699091i	$-0.246412\pi$
$938$	−14.1233	−	8.36388i	−0.461143	−	0.273090i
$939$	−2.93542	+	2.93542i	−0.0957938	+	0.0957938i
$940$	0.535433	+	1.15860i	0.0174639	+	0.0377893i
$941$	−14.6220	+	3.91796i	−0.476664	+	0.127722i	−0.489149	−	0.872200i	$-0.662693\pi$
$941$	−14.6220	+	3.91796i	−0.476664	+	0.127722i	0.0124849	+	0.999922i	$0.496026\pi$
$942$	−4.37999	−	6.27816i	−0.142708	−	0.204554i
$943$	0.217983	+	0.377558i	0.00709850	+	0.0122950i
$944$	−2.02398	−	2.93316i	−0.0658748	−	0.0954661i
$945$	−0.416300	+	1.11132i	−0.0135422	+	0.0361513i
$946$	−25.5564	+	54.5613i	−0.830909	+	1.77394i
$947$	10.2025	−	38.0764i	0.331538	−	1.23732i	−0.576036	−	0.817424i	$-0.695401\pi$
$947$	10.2025	−	38.0764i	0.331538	−	1.23732i	0.907574	−	0.419892i	$-0.137932\pi$
$948$	−9.47596	−	6.68369i	−0.307765	−	0.217076i
$949$	−11.2933	−	42.1472i	−0.366597	−	1.36816i
$950$	29.6312	+	24.9502i	0.961362	+	0.809492i
$951$			29.3489i			0.951704i
$952$	−36.6359	+	16.4413i	−1.18738	+	0.532864i
$953$		−	27.9345i		−	0.904886i	−0.891793	−	0.452443i	$-0.850553\pi$
$953$		−	27.9345i		−	0.904886i	0.891793	−	0.452443i	$-0.149447\pi$
$954$	−6.55264	+	7.78200i	−0.212150	+	0.251951i
$955$	−1.16499	−	4.34779i	−0.0376981	−	0.140691i
$956$	−33.4007	+	5.77140i	−1.08026	+	0.186660i
$957$	5.96476	−	22.2608i	0.192813	−	0.719589i
$958$	−27.7534	−	12.9996i	−0.896673	−	0.419999i
$959$	−15.6491	+	2.60869i	−0.505337	+	0.0842389i
$960$	3.12590	−	1.76211i	0.100888	−	0.0568717i
$961$	15.2582	+	26.4280i	0.492201	+	0.852516i
$962$	−62.5863	+	43.6637i	−2.01786	+	1.40777i
$963$	−4.87320	+	1.30577i	−0.157037	+	0.0420778i
$964$	−19.2457	+	52.3181i	−0.619861	+	1.68505i
$965$	0.395054	−	0.395054i	0.0127172	−	0.0127172i
$966$	0.286556	+	0.00317175i	0.00921980	+	0.000102049i
$967$			19.1156i			0.614716i	0.951594	+	0.307358i	$0.0994449\pi$
$967$			19.1156i			0.614716i	−0.951594	+	0.307358i	$0.900555\pi$
$968$	−19.6269	−	19.8299i	−0.630833	−	0.637357i
$969$	−26.5252	−	15.3144i	−0.852114	−	0.491968i
$970$	1.11974	−	6.28729i	0.0359527	−	0.201873i
$971$	51.7790	+	13.8741i	1.66167	+	0.445242i	0.962845	−	0.270054i	$-0.0870415\pi$
$971$	51.7790	+	13.8741i	1.66167	+	0.445242i	0.698822	+	0.715296i	$0.253708\pi$
$972$	0.181144	−	1.99178i	0.00581019	−	0.0638864i
$973$	4.57231	−	47.1754i	0.146581	−	1.51237i
$974$	9.03087	−	19.2804i	0.289368	−	0.617783i
$975$	−11.2664	−	19.5139i	−0.360813	−	0.624946i
$976$	4.18986	+	51.9958i	0.134114	+	1.66434i
$977$	−6.08358	+	10.5371i	−0.194631	+	0.337111i	−0.946779	−	0.321883i	$-0.895684\pi$
$977$	−6.08358	+	10.5371i	−0.194631	+	0.337111i	0.752149	+	0.658994i	$0.229018\pi$
$978$	−1.65651	+	0.142064i	−0.0529694	+	0.00454270i
$979$	−23.2500	−	23.2500i	−0.743072	−	0.743072i
$980$	−1.75914	+	6.02818i	−0.0561938	+	0.192563i
$981$	−8.83965	+	8.83965i	−0.282228	+	0.282228i
$982$	2.84129	+	2.39244i	0.0906692	+	0.0763458i
$983$	1.12738	+	0.650894i	0.0359579	+	0.0207603i	0.517871	−	0.855459i	$-0.326725\pi$
$983$	1.12738	+	0.650894i	0.0359579	+	0.0207603i	−0.481913	+	0.876219i	$0.660058\pi$
$984$	13.9842	−	7.97814i	0.445800	−	0.254334i
$985$	1.16136	−	0.670513i	0.0370041	−	0.0213643i
$986$	−13.0336	−	36.0016i	−0.415076	−	1.14652i
$987$	3.74671	+	0.363136i	0.119259	+	0.0115587i
$988$	41.1796	−	34.3138i	1.31010	−	1.09167i
$989$	0.184888	−	0.690012i	0.00587910	−	0.0219411i
$990$	−2.37633	+	1.65786i	−0.0755248	+	0.0526902i
$991$	20.5343	−	35.5664i	0.652293	−	1.12980i	−0.330272	−	0.943886i	$-0.607141\pi$
$991$	20.5343	−	35.5664i	0.652293	−	1.12980i	0.982565	−	0.185919i	$-0.0595261\pi$
$992$	−3.91567	−	0.376433i	−0.124323	−	0.0119518i
$993$	−0.579323			−0.0183843
$994$	24.6068	−	24.0680i	0.780480	−	0.763392i
$995$	−4.53950	−	4.53950i	−0.143912	−	0.143912i
$996$	11.1266	+	4.09302i	0.352560	+	0.129692i
$997$	−13.2957	−	49.6203i	−0.421079	−	1.57149i	−0.772338	−	0.635211i	$-0.780913\pi$
$997$	−13.2957	−	49.6203i	−0.421079	−	1.57149i	0.351259	−	0.936278i	$-0.385754\pi$
$998$	2.33858	+	0.416491i	0.0740264	+	0.0131838i
$999$	−9.95244	+	5.74604i	−0.314881	+	0.181797i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	336.2.bq.b.109.17	yes	120
7.2	even	3	inner	336.2.bq.b.205.5	yes	120
16.5	even	4	inner	336.2.bq.b.277.5	yes	120
112.37	even	12	inner	336.2.bq.b.37.17	✓	120

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
336.2.bq.b.37.17	✓	120	112.37	even	12	inner
336.2.bq.b.109.17	yes	120	1.1	even	1	trivial
336.2.bq.b.205.5	yes	120	7.2	even	3	inner
336.2.bq.b.277.5	yes	120	16.5	even	4	inner

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:	\( N \)	\(=\)	\( 336 = 2^{4} \cdot 3 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	336.bq (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.120841 - 1.40904i) q^{2} +(-0.965926 + 0.258819i) q^{3} +(-1.97080 + 0.340539i) q^{4} +(0.433260 + 0.116092i) q^{5} +(0.481410 + 1.32975i) q^{6} +(2.04258 - 1.68163i) q^{7} +(0.717986 + 2.73578i) q^{8} +(0.866025 - 0.500000i) q^{9} +O(q^{10})\)	\(q+(-0.120841 - 1.40904i) q^{2} +(-0.965926 + 0.258819i) q^{3} +(-1.97080 + 0.340539i) q^{4} +(0.433260 + 0.116092i) q^{5} +(0.481410 + 1.32975i) q^{6} +(2.04258 - 1.68163i) q^{7} +(0.717986 + 2.73578i) q^{8} +(0.866025 - 0.500000i) q^{9} +(0.111222 - 0.624510i) q^{10} +(-1.18222 - 4.41211i) q^{11} +(1.81550 - 0.839015i) q^{12} +(-3.32021 - 3.32021i) q^{13} +(-2.61631 - 2.67487i) q^{14} -0.448544 q^{15} +(3.76807 - 1.34227i) q^{16} +(-2.68303 + 4.64715i) q^{17} +(-0.809172 - 1.15985i) q^{18} +(1.47730 - 5.51336i) q^{19} +(-0.893400 - 0.0812509i) q^{20} +(-1.53774 + 2.15298i) q^{21} +(-6.07398 + 2.19896i) q^{22} +(0.0663290 - 0.0382951i) q^{23} +(-1.40159 - 2.45673i) q^{24} +(-4.15589 - 2.39940i) q^{25} +(-4.27710 + 5.07953i) q^{26} +(-0.707107 + 0.707107i) q^{27} +(-3.45285 + 4.00972i) q^{28} +(-3.56763 - 3.56763i) q^{29} +(0.0542023 + 0.632016i) q^{30} +(0.347695 - 0.602225i) q^{31} +(-2.34664 - 5.14716i) q^{32} +(2.28387 + 3.95579i) q^{33} +(6.87225 + 3.21894i) q^{34} +(1.08019 - 0.491454i) q^{35} +(-1.53649 + 1.28031i) q^{36} +(11.1005 + 2.97437i) q^{37} +(-7.94707 - 1.41534i) q^{38} +(4.06641 + 2.34774i) q^{39} +(-0.00652673 + 1.26866i) q^{40} +5.69219i q^{41} +(3.21947 + 1.90658i) q^{42} +(6.59516 - 6.59516i) q^{43} +(3.83241 + 8.29277i) q^{44} +(0.433260 - 0.116092i) q^{45} +(-0.0619746 - 0.0888327i) q^{46} +(-0.711379 - 1.23214i) q^{47} +(-3.29227 + 2.27178i) q^{48} +(1.34427 - 6.86971i) q^{49} +(-2.87866 + 6.14577i) q^{50} +(1.38884 - 5.18323i) q^{51} +(7.67411 + 5.41279i) q^{52} +(-1.86185 - 6.94851i) q^{53} +(1.08179 + 0.910895i) q^{54} -2.04883i q^{55} +(6.06710 + 4.38067i) q^{56} +5.70785i q^{57} +(-4.59582 + 5.45805i) q^{58} +(-0.230588 - 0.860565i) q^{59} +(0.883987 - 0.152747i) q^{60} +(-3.37528 + 12.5967i) q^{61} +(-0.890576 - 0.417143i) q^{62} +(0.928114 - 2.47762i) q^{63} +(-6.96899 + 3.92850i) q^{64} +(-1.05306 - 1.82396i) q^{65} +(5.29788 - 3.69609i) q^{66} +(4.23738 - 1.13540i) q^{67} +(3.70517 - 10.0723i) q^{68} +(-0.0541574 + 0.0541574i) q^{69} +(-0.823010 - 1.46265i) q^{70} +9.19924i q^{71} +(1.98968 + 2.01026i) q^{72} +(8.04777 + 4.64638i) q^{73} +(2.84962 - 16.0005i) q^{74} +(4.63529 + 1.24202i) q^{75} +(-1.03394 + 11.3688i) q^{76} +(-9.83429 - 7.02403i) q^{77} +(2.81668 - 6.01344i) q^{78} +(-2.89898 - 5.02118i) q^{79} +(1.78838 - 0.144109i) q^{80} +(0.500000 - 0.866025i) q^{81} +(8.02054 - 0.687849i) q^{82} +(4.19157 + 4.19157i) q^{83} +(2.29740 - 4.76675i) q^{84} +(-1.70195 + 1.70195i) q^{85} +(-10.0898 - 8.49588i) q^{86} +(4.36943 + 2.52269i) q^{87} +(11.2217 - 6.40213i) q^{88} +(6.23399 - 3.59919i) q^{89} +(-0.215933 - 0.596452i) q^{90} +(-12.3651 - 1.19845i) q^{91} +(-0.117680 + 0.0980593i) q^{92} +(-0.179980 + 0.671695i) q^{93} +(-1.65018 + 1.15126i) q^{94} +(1.28011 - 2.21721i) q^{95} +(3.59887 + 4.36442i) q^{96} +10.0676 q^{97} +(-9.84215 - 1.06399i) q^{98} +(-3.22989 - 3.22989i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 120 q - 4 q^{4} - 8 q^{5} - 8 q^{6} + 24 q^{8}+O(q^{10}) \) 120 * q - 4 * q^4 - 8 * q^5 - 8 * q^6 + 24 * q^8	\( 120 q - 4 q^{4} - 8 q^{5} - 8 q^{6} + 24 q^{8} - 8 q^{10} + 4 q^{11} + 8 q^{13} + 32 q^{14} + 8 q^{15} + 12 q^{16} - 16 q^{17} - 4 q^{18} - 8 q^{19} - 64 q^{20} + 12 q^{21} + 24 q^{22} - 8 q^{24} - 8 q^{26} - 8 q^{28} - 64 q^{29} - 52 q^{31} - 4 q^{33} + 32 q^{34} - 8 q^{35} + 24 q^{37} - 40 q^{38} - 60 q^{40} + 24 q^{42} - 32 q^{43} - 12 q^{44} - 8 q^{45} + 4 q^{46} - 8 q^{47} + 32 q^{48} + 20 q^{49} - 16 q^{50} - 8 q^{51} - 16 q^{52} + 4 q^{54} - 104 q^{56} + 4 q^{58} + 52 q^{59} - 16 q^{60} + 4 q^{61} - 144 q^{62} + 8 q^{63} - 64 q^{64} + 24 q^{65} + 24 q^{66} + 12 q^{68} + 24 q^{69} - 48 q^{70} + 4 q^{72} + 16 q^{74} + 16 q^{75} - 8 q^{76} + 8 q^{77} - 56 q^{78} + 28 q^{79} + 68 q^{80} + 60 q^{81} + 28 q^{82} + 8 q^{83} + 24 q^{84} - 80 q^{85} + 36 q^{86} + 40 q^{88} + 8 q^{90} + 36 q^{91} - 184 q^{92} + 4 q^{93} + 60 q^{94} - 16 q^{95} + 36 q^{96} + 24 q^{97} + 124 q^{98} - 8 q^{99}+O(q^{100}) \) 120 * q - 4 * q^4 - 8 * q^5 - 8 * q^6 + 24 * q^8 - 8 * q^10 + 4 * q^11 + 8 * q^13 + 32 * q^14 + 8 * q^15 + 12 * q^16 - 16 * q^17 - 4 * q^18 - 8 * q^19 - 64 * q^20 + 12 * q^21 + 24 * q^22 - 8 * q^24 - 8 * q^26 - 8 * q^28 - 64 * q^29 - 52 * q^31 - 4 * q^33 + 32 * q^34 - 8 * q^35 + 24 * q^37 - 40 * q^38 - 60 * q^40 + 24 * q^42 - 32 * q^43 - 12 * q^44 - 8 * q^45 + 4 * q^46 - 8 * q^47 + 32 * q^48 + 20 * q^49 - 16 * q^50 - 8 * q^51 - 16 * q^52 + 4 * q^54 - 104 * q^56 + 4 * q^58 + 52 * q^59 - 16 * q^60 + 4 * q^61 - 144 * q^62 + 8 * q^63 - 64 * q^64 + 24 * q^65 + 24 * q^66 + 12 * q^68 + 24 * q^69 - 48 * q^70 + 4 * q^72 + 16 * q^74 + 16 * q^75 - 8 * q^76 + 8 * q^77 - 56 * q^78 + 28 * q^79 + 68 * q^80 + 60 * q^81 + 28 * q^82 + 8 * q^83 + 24 * q^84 - 80 * q^85 + 36 * q^86 + 40 * q^88 + 8 * q^90 + 36 * q^91 - 184 * q^92 + 4 * q^93 + 60 * q^94 - 16 * q^95 + 36 * q^96 + 24 * q^97 + 124 * q^98 - 8 * q^99

Introduction

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