LMFDB - Embedded newform 273.2.cg.b.115.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [273,2,Mod(19,273)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(273, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([0, 10, 5]))

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

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

chi := DirichletCharacter("273.19");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 273 = 3 \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	273.cg (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:	$2.17991597518$
Analytic rank:	$0$
Dimension:	$40$
Relative dimension:	$10$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			115.6
Character	$\chi$	$=$	273.115
Dual form			273.2.cg.b.19.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.446344 - 0.119598i) q^{2} -1.00000i q^{3} +(-1.54713 + 0.893237i) q^{4} +(-2.09830 - 0.562238i) q^{5} +(-0.119598 - 0.446344i) q^{6} +(-1.26927 + 2.32141i) q^{7} +(-1.23722 + 1.23722i) q^{8} -1.00000 q^{9} +O(q^{10})$	\(q+(0.446344 - 0.119598i) q^{2} -1.00000i q^{3} +(-1.54713 + 0.893237i) q^{4} +(-2.09830 - 0.562238i) q^{5} +(-0.119598 - 0.446344i) q^{6} +(-1.26927 + 2.32141i) q^{7} +(-1.23722 + 1.23722i) q^{8} -1.00000 q^{9} -1.00381 q^{10} +(-4.08324 + 4.08324i) q^{11} +(0.893237 + 1.54713i) q^{12} +(2.90451 - 2.13632i) q^{13} +(-0.288898 + 1.18795i) q^{14} +(-0.562238 + 2.09830i) q^{15} +(1.38222 - 2.39407i) q^{16} +(0.0614826 + 0.106491i) q^{17} +(-0.446344 + 0.119598i) q^{18} +(-2.29432 + 2.29432i) q^{19} +(3.74856 - 1.00442i) q^{20} +(2.32141 + 1.26927i) q^{21} +(-1.33418 + 2.31087i) q^{22} +(-2.23293 - 1.28919i) q^{23} +(1.23722 + 1.23722i) q^{24} +(-0.243373 - 0.140512i) q^{25} +(1.04091 - 1.30091i) q^{26} +1.00000i q^{27} +(-0.109837 - 4.72529i) q^{28} +(-4.15898 - 7.20357i) q^{29} +1.00381i q^{30} +(0.940109 + 3.50854i) q^{31} +(1.23633 - 4.61403i) q^{32} +(4.08324 + 4.08324i) q^{33} +(0.0401785 + 0.0401785i) q^{34} +(3.96850 - 4.15738i) q^{35} +(1.54713 - 0.893237i) q^{36} +(1.75574 + 6.55250i) q^{37} +(-0.749661 + 1.29845i) q^{38} +(-2.13632 - 2.90451i) q^{39} +(3.29167 - 1.90044i) q^{40} +(-2.63970 - 0.707305i) q^{41} +(1.18795 + 0.288898i) q^{42} +(3.72224 + 2.14904i) q^{43} +(2.67001 - 9.96459i) q^{44} +(2.09830 + 0.562238i) q^{45} +(-1.15084 - 0.308367i) q^{46} +(0.591665 - 2.20812i) q^{47} +(-2.39407 - 1.38222i) q^{48} +(-3.77789 - 5.89301i) q^{49} +(-0.125433 - 0.0336097i) q^{50} +(0.106491 - 0.0614826i) q^{51} +(-2.58541 + 5.89957i) q^{52} +(-4.49855 + 7.79171i) q^{53} +(0.119598 + 0.446344i) q^{54} +(10.8636 - 6.27210i) q^{55} +(-1.30172 - 4.44246i) q^{56} +(2.29432 + 2.29432i) q^{57} +(-2.71787 - 2.71787i) q^{58} +(-1.94771 + 7.26896i) q^{59} +(-1.00442 - 3.74856i) q^{60} +6.15529i q^{61} +(0.839225 + 1.45358i) q^{62} +(1.26927 - 2.32141i) q^{63} +3.32156i q^{64} +(-7.29564 + 2.84961i) q^{65} +(2.31087 + 1.33418i) q^{66} +(-7.99656 - 7.99656i) q^{67} +(-0.190243 - 0.109837i) q^{68} +(-1.28919 + 2.23293i) q^{69} +(1.27411 - 2.33025i) q^{70} +(7.44892 - 1.99593i) q^{71} +(1.23722 - 1.23722i) q^{72} +(12.0831 - 3.23765i) q^{73} +(1.56733 + 2.71469i) q^{74} +(-0.140512 + 0.243373i) q^{75} +(1.50024 - 5.59898i) q^{76} +(-4.29612 - 14.6616i) q^{77} +(-1.30091 - 1.04091i) q^{78} +(6.34069 + 10.9824i) q^{79} +(-4.24634 + 4.24634i) q^{80} +1.00000 q^{81} -1.26281 q^{82} +(4.76169 - 4.76169i) q^{83} +(-4.72529 + 0.109837i) q^{84} +(-0.0691357 - 0.258018i) q^{85} +(1.91842 + 0.514039i) q^{86} +(-7.20357 + 4.15898i) q^{87} -10.1037i q^{88} +(0.966637 - 0.259010i) q^{89} +1.00381 q^{90} +(1.27266 + 9.45412i) q^{91} +4.60619 q^{92} +(3.50854 - 0.940109i) q^{93} -1.05634i q^{94} +(6.10412 - 3.52421i) q^{95} +(-4.61403 - 1.23633i) q^{96} +(2.38150 + 8.88790i) q^{97} +(-2.39103 - 2.17848i) q^{98} +(4.08324 - 4.08324i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 40 q - 8 q^{7} - 40 q^{9}+O(q^{10}) $ 40 * q - 8 * q^7 - 40 * q^9	$ 40 q - 8 q^{7} - 40 q^{9} + 4 q^{11} - 24 q^{12} - 18 q^{14} + 32 q^{16} + 4 q^{17} + 14 q^{19} + 14 q^{20} + 2 q^{21} + 4 q^{22} + 12 q^{23} + 24 q^{25} - 32 q^{26} + 16 q^{28} + 8 q^{29} + 14 q^{31} - 26 q^{32} - 4 q^{33} - 24 q^{34} + 26 q^{35} + 36 q^{37} - 8 q^{38} + 18 q^{39} - 30 q^{40} - 2 q^{41} - 66 q^{43} - 32 q^{44} - 26 q^{46} - 4 q^{47} + 24 q^{48} - 14 q^{49} - 20 q^{50} + 2 q^{52} - 8 q^{53} - 42 q^{55} + 46 q^{56} - 14 q^{57} + 24 q^{58} + 14 q^{59} + 2 q^{60} + 24 q^{62} + 8 q^{63} + 28 q^{65} - 18 q^{66} - 44 q^{67} - 18 q^{68} + 4 q^{69} - 4 q^{70} - 6 q^{71} + 14 q^{73} - 20 q^{74} + 24 q^{75} - 64 q^{76} + 24 q^{77} + 8 q^{78} + 20 q^{80} + 40 q^{81} + 48 q^{82} - 12 q^{83} + 22 q^{84} + 2 q^{85} - 60 q^{86} + 18 q^{87} - 2 q^{89} - 14 q^{91} + 236 q^{92} - 8 q^{93} + 24 q^{95} + 16 q^{96} - 62 q^{97} - 88 q^{98} - 4 q^{99}+O(q^{100}) $ 40 * q - 8 * q^7 - 40 * q^9 + 4 * q^11 - 24 * q^12 - 18 * q^14 + 32 * q^16 + 4 * q^17 + 14 * q^19 + 14 * q^20 + 2 * q^21 + 4 * q^22 + 12 * q^23 + 24 * q^25 - 32 * q^26 + 16 * q^28 + 8 * q^29 + 14 * q^31 - 26 * q^32 - 4 * q^33 - 24 * q^34 + 26 * q^35 + 36 * q^37 - 8 * q^38 + 18 * q^39 - 30 * q^40 - 2 * q^41 - 66 * q^43 - 32 * q^44 - 26 * q^46 - 4 * q^47 + 24 * q^48 - 14 * q^49 - 20 * q^50 + 2 * q^52 - 8 * q^53 - 42 * q^55 + 46 * q^56 - 14 * q^57 + 24 * q^58 + 14 * q^59 + 2 * q^60 + 24 * q^62 + 8 * q^63 + 28 * q^65 - 18 * q^66 - 44 * q^67 - 18 * q^68 + 4 * q^69 - 4 * q^70 - 6 * q^71 + 14 * q^73 - 20 * q^74 + 24 * q^75 - 64 * q^76 + 24 * q^77 + 8 * q^78 + 20 * q^80 + 40 * q^81 + 48 * q^82 - 12 * q^83 + 22 * q^84 + 2 * q^85 - 60 * q^86 + 18 * q^87 - 2 * q^89 - 14 * q^91 + 236 * q^92 - 8 * q^93 + 24 * q^95 + 16 * q^96 - 62 * q^97 - 88 * q^98 - 4 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/273\mathbb{Z}\right)^\times$.

$n$	$92$	$106$	$157$
$\chi(n)$	$1$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{1}{6}\right)$

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 $

$2$	0.446344	−	0.119598i	0.315613	−	0.0845683i	−0.0975351	−	0.995232i	$-0.531096\pi$
$2$	0.446344	−	0.119598i	0.315613	−	0.0845683i	0.413148	+	0.910664i	$0.364429\pi$
$3$		−	1.00000i		−	0.577350i
$3$		−	1.00000i		−	0.577350i
$4$	−1.54713	+	0.893237i	−0.773566	+	0.446618i
$5$	−2.09830	−	0.562238i	−0.938389	−	0.251440i	−0.242960	−	0.970036i	$-0.578119\pi$
$5$	−2.09830	−	0.562238i	−0.938389	−	0.251440i	−0.695428	+	0.718596i	$0.744785\pi$
$6$	−0.119598	−	0.446344i	−0.0488255	−	0.182219i
$7$	−1.26927	+	2.32141i	−0.479740	+	0.877411i
$7$	−1.26927	+	2.32141i	−0.479740	+	0.877411i
$8$	−1.23722	+	1.23722i	−0.437423	+	0.437423i
$9$	−1.00000			−0.333333
$10$	−1.00381			−0.317432
$11$	−4.08324	+	4.08324i	−1.23114	+	1.23114i	−0.267616	+	0.963526i	$0.586236\pi$
$11$	−4.08324	+	4.08324i	−1.23114	+	1.23114i	−0.963526	+	0.267616i	$0.913764\pi$
$12$	0.893237	+	1.54713i	0.257855	+	0.446618i
$13$	2.90451	−	2.13632i	0.805565	−	0.592508i
$13$	2.90451	−	2.13632i	0.805565	−	0.592508i
$14$	−0.288898	+	1.18795i	−0.0772112	+	0.317493i
$15$	−0.562238	+	2.09830i	−0.145169	+	0.541779i
$16$	1.38222	−	2.39407i	0.345554	−	0.598517i
$17$	0.0614826	+	0.106491i	0.0149117	+	0.0258279i	0.873385	−	0.487030i	$-0.161920\pi$
$17$	0.0614826	+	0.106491i	0.0149117	+	0.0258279i	−0.858473	+	0.512858i	$0.828587\pi$
$18$	−0.446344	+	0.119598i	−0.105204	+	0.0281894i
$19$	−2.29432	+	2.29432i	−0.526352	+	0.526352i	−0.919483	−	0.393130i	$-0.871392\pi$
$19$	−2.29432	+	2.29432i	−0.526352	+	0.526352i	0.393130	+	0.919483i	$0.371392\pi$
$20$	3.74856	−	1.00442i	0.838203	−	0.224596i
$21$	2.32141	+	1.26927i	0.506573	+	0.276978i
$22$	−1.33418	+	2.31087i	−0.284449	+	0.492680i
$23$	−2.23293	−	1.28919i	−0.465599	−	0.268814i	0.248797	−	0.968556i	$-0.419965\pi$
$23$	−2.23293	−	1.28919i	−0.465599	−	0.268814i	−0.714396	+	0.699742i	$0.753298\pi$
$24$	1.23722	+	1.23722i	0.252546	+	0.252546i
$25$	−0.243373	−	0.140512i	−0.0486747	−	0.0281023i
$26$	1.04091	−	1.30091i	0.204139	−	0.255128i
$27$			1.00000i			0.192450i
$28$	−0.109837	−	4.72529i	−0.0207572	−	0.892995i
$29$	−4.15898	−	7.20357i	−0.772303	−	1.33767i	−0.936298	−	0.351207i	$-0.885771\pi$
$29$	−4.15898	−	7.20357i	−0.772303	−	1.33767i	0.163994	−	0.986461i	$-0.447562\pi$
$30$			1.00381i			0.183269i
$31$	0.940109	+	3.50854i	0.168849	+	0.630152i	0.997518	+	0.0704132i	$0.0224318\pi$
$31$	0.940109	+	3.50854i	0.168849	+	0.630152i	−0.828669	+	0.559739i	$0.810902\pi$
$32$	1.23633	−	4.61403i	0.218554	−	0.815653i
$33$	4.08324	+	4.08324i	0.710800	+	0.710800i
$34$	0.0401785	+	0.0401785i	0.00689055	+	0.00689055i
$35$	3.96850	−	4.15738i	0.670799	−	0.702726i
$36$	1.54713	−	0.893237i	0.257855	−	0.148873i
$37$	1.75574	+	6.55250i	0.288641	+	1.07722i	0.946137	+	0.323766i	$0.104949\pi$
$37$	1.75574	+	6.55250i	0.288641	+	1.07722i	−0.657496	+	0.753458i	$0.728384\pi$
$38$	−0.749661	+	1.29845i	−0.121611	+	0.210636i
$39$	−2.13632	−	2.90451i	−0.342085	−	0.465093i
$40$	3.29167	−	1.90044i	0.520458	−	0.300487i
$41$	−2.63970	−	0.707305i	−0.412251	−	0.110462i	0.0467316	−	0.998907i	$-0.485119\pi$
$41$	−2.63970	−	0.707305i	−0.412251	−	0.110462i	−0.458983	+	0.888445i	$0.651786\pi$
$42$	1.18795	+	0.288898i	0.183305	+	0.0445779i
$43$	3.72224	+	2.14904i	0.567636	+	0.327725i	0.756205	−	0.654335i	$-0.227051\pi$
$43$	3.72224	+	2.14904i	0.567636	+	0.327725i	−0.188569	+	0.982060i	$0.560385\pi$
$44$	2.67001	−	9.96459i	0.402518	−	1.50222i
$45$	2.09830	+	0.562238i	0.312796	+	0.0838135i
$46$	−1.15084	−	0.308367i	−0.169682	−	0.0454662i
$47$	0.591665	−	2.20812i	0.0863032	−	0.322088i	−0.909255	−	0.416240i	$-0.863347\pi$
$47$	0.591665	−	2.20812i	0.0863032	−	0.322088i	0.995558	+	0.0941526i	$0.0300142\pi$
$48$	−2.39407	−	1.38222i	−0.345554	−	0.199506i
$49$	−3.77789	−	5.89301i	−0.539699	−	0.841858i
$50$	−0.125433	−	0.0336097i	−0.0177389	−	0.00475313i
$51$	0.106491	−	0.0614826i	0.0149117	−	0.00860929i
$52$	−2.58541	+	5.89957i	−0.358532	+	0.818124i
$53$	−4.49855	+	7.79171i	−0.617923	+	1.07027i	0.371941	+	0.928256i	$0.378692\pi$
$53$	−4.49855	+	7.79171i	−0.617923	+	1.07027i	−0.989864	+	0.142017i	$0.954641\pi$
$54$	0.119598	+	0.446344i	0.0162752	+	0.0607398i
$55$	10.8636	−	6.27210i	1.46485	−	0.845730i
$56$	−1.30172	−	4.44246i	−0.173950	−	0.593648i
$57$	2.29432	+	2.29432i	0.303890	+	0.303890i
$58$	−2.71787	−	2.71787i	−0.356873	−	0.356873i
$59$	−1.94771	+	7.26896i	−0.253571	+	0.946339i	0.715309	+	0.698808i	$0.246286\pi$
$59$	−1.94771	+	7.26896i	−0.253571	+	0.946339i	−0.968880	+	0.247531i	$0.920381\pi$
$60$	−1.00442	−	3.74856i	−0.129670	−	0.483937i
$61$			6.15529i			0.788104i	0.919088	+	0.394052i	$0.128927\pi$
$61$			6.15529i			0.788104i	−0.919088	+	0.394052i	$0.871073\pi$
$62$	0.839225	+	1.45358i	0.106582	+	0.184605i
$63$	1.26927	−	2.32141i	0.159913	−	0.292470i
$64$			3.32156i			0.415195i
$65$	−7.29564	+	2.84961i	−0.904913	+	0.353451i
$66$	2.31087	+	1.33418i	0.284449	+	0.164227i
$67$	−7.99656	−	7.99656i	−0.976936	−	0.976936i	0.0228041	−	0.999740i	$-0.492741\pi$
$67$	−7.99656	−	7.99656i	−0.976936	−	0.976936i	−0.999740	+	0.0228041i	$0.992741\pi$
$68$	−0.190243	−	0.109837i	−0.0230704	−	0.0133197i
$69$	−1.28919	+	2.23293i	−0.155200	+	0.268814i
$70$	1.27411	−	2.33025i	0.152285	−	0.278518i
$71$	7.44892	−	1.99593i	0.884024	−	0.236873i	0.211881	−	0.977295i	$-0.432041\pi$
$71$	7.44892	−	1.99593i	0.884024	−	0.236873i	0.672142	+	0.740422i	$0.265374\pi$
$72$	1.23722	−	1.23722i	0.145808	−	0.145808i
$73$	12.0831	−	3.23765i	1.41422	−	0.378939i	0.530789	−	0.847504i	$-0.321896\pi$
$73$	12.0831	−	3.23765i	1.41422	−	0.378939i	0.883429	+	0.468565i	$0.155229\pi$
$74$	1.56733	+	2.71469i	0.182198	+	0.315576i
$75$	−0.140512	+	0.243373i	−0.0162249	+	0.0281023i
$76$	1.50024	−	5.59898i	0.172089	−	0.642247i
$77$	−4.29612	−	14.6616i	−0.489589	−	1.67084i
$78$	−1.30091	−	1.04091i	−0.147298	−	0.117860i
$79$	6.34069	+	10.9824i	0.713384	+	1.23562i	0.963580	+	0.267422i	$0.0861717\pi$
$79$	6.34069	+	10.9824i	0.713384	+	1.23562i	−0.250196	+	0.968195i	$0.580495\pi$
$80$	−4.24634	+	4.24634i	−0.474755	+	0.474755i
$81$	1.00000			0.111111
$82$	−1.26281			−0.139454
$83$	4.76169	−	4.76169i	0.522663	−	0.522663i	−0.395712	−	0.918375i	$-0.629502\pi$
$83$	4.76169	−	4.76169i	0.522663	−	0.522663i	0.918375	+	0.395712i	$0.129502\pi$
$84$	−4.72529	+	0.109837i	−0.515571	+	0.0119842i
$85$	−0.0691357	−	0.258018i	−0.00749882	−	0.0279860i
$86$	1.91842	+	0.514039i	0.206869	+	0.0554303i
$87$	−7.20357	+	4.15898i	−0.772303	+	0.445890i
$88$		−	10.1037i		−	1.07706i
$89$	0.966637	−	0.259010i	0.102463	−	0.0274550i	−0.207223	−	0.978294i	$-0.566443\pi$
$89$	0.966637	−	0.259010i	0.102463	−	0.0274550i	0.309686	+	0.950839i	$0.399776\pi$
$90$	1.00381			0.105811
$91$	1.27266	+	9.45412i	0.133411	+	0.991061i
$92$	4.60619			0.480228
$93$	3.50854	−	0.940109i	0.363818	−	0.0974848i
$94$		−	1.05634i		−	0.108954i
$95$	6.10412	−	3.52421i	0.626269	−	0.361577i
$96$	−4.61403	−	1.23633i	−0.470918	−	0.126182i
$97$	2.38150	+	8.88790i	0.241805	+	0.902429i	0.974962	+	0.222370i	$0.0713793\pi$
$97$	2.38150	+	8.88790i	0.241805	+	0.902429i	−0.733157	+	0.680059i	$0.761954\pi$
$98$	−2.39103	−	2.17848i	−0.241531	−	0.220060i
$99$	4.08324	−	4.08324i	0.410381	−	0.410381i
$100$	0.502040			0.0502040
$101$	−5.93884			−0.590937			−0.295468	−	0.955353i	$-0.595476\pi$
$101$	−5.93884			−0.590937			−0.295468	+	0.955353i	$0.595476\pi$
$102$	0.0401785	−	0.0401785i	0.00397826	−	0.00397826i
$103$	1.74407	+	3.02081i	0.171848	+	0.297649i	0.939066	−	0.343737i	$-0.111693\pi$
$103$	1.74407	+	3.02081i	0.171848	+	0.297649i	−0.767218	+	0.641386i	$0.778360\pi$
$104$	−0.950416	+	6.23660i	−0.0931959	+	0.611548i
$105$	−4.15738	−	3.96850i	−0.405719	−	0.387286i
$106$	−1.07603	+	4.01580i	−0.104513	+	0.390049i
$107$	−3.35243	+	5.80657i	−0.324091	+	0.561343i	−0.981328	−	0.192342i	$-0.938392\pi$
$107$	−3.35243	+	5.80657i	−0.324091	+	0.561343i	0.657237	+	0.753684i	$0.271725\pi$
$108$	−0.893237	−	1.54713i	−0.0859517	−	0.148873i
$109$	−13.2741	+	3.55678i	−1.27143	+	0.340678i	−0.830577	−	0.556903i	$-0.811989\pi$
$109$	−13.2741	+	3.55678i	−1.27143	+	0.340678i	−0.440850	+	0.897581i	$0.645323\pi$
$110$	4.09878	−	4.09878i	0.390803	−	0.390803i
$111$	6.55250	−	1.75574i	0.621935	−	0.166647i
$112$	3.80321	+	6.24742i	0.359369	+	0.590325i
$113$	−5.21688	+	9.03590i	−0.490763	+	0.850026i	−0.999943	−	0.0106335i	$-0.996615\pi$
$113$	−5.21688	+	9.03590i	−0.490763	+	0.850026i	0.509181	+	0.860660i	$0.329949\pi$
$114$	1.29845	+	0.749661i	0.121611	+	0.0702122i
$115$	3.96054	+	3.96054i	0.369322	+	0.369322i
$116$	12.8690	+	7.42991i	1.19485	+	0.689850i
$117$	−2.90451	+	2.13632i	−0.268522	+	0.197503i
$118$			3.47740i			0.320121i
$119$	−0.325247	+	0.00756022i	−0.0298154	+	0.000693044i
$120$	−1.90044	−	3.29167i	−0.173486	−	0.300487i
$121$		−	22.3456i		−	2.03142i
$122$	0.736157	+	2.74738i	0.0666486	+	0.248736i
$123$	−0.707305	+	2.63970i	−0.0637755	+	0.238013i
$124$	−4.58843	−	4.58843i	−0.412053	−	0.412053i
$125$	8.11198	+	8.11198i	0.725558	+	0.725558i
$126$	0.288898	−	1.18795i	0.0257371	−	0.105831i
$127$	−8.07987	+	4.66492i	−0.716973	+	0.413944i	−0.813637	−	0.581373i	$-0.802516\pi$
$127$	−8.07987	+	4.66492i	−0.716973	+	0.413944i	0.0966648	+	0.995317i	$0.469183\pi$
$128$	2.86990	+	10.7106i	0.253666	+	0.946694i
$129$	2.14904	−	3.72224i	0.189212	−	0.327725i
$130$	−2.91556	+	2.14445i	−0.255712	+	0.188081i
$131$	5.51203	−	3.18237i	0.481589	−	0.278045i	−0.239490	−	0.970899i	$-0.576980\pi$
$131$	5.51203	−	3.18237i	0.481589	−	0.278045i	0.721078	+	0.692854i	$0.243647\pi$
$132$	−9.96459	−	2.67001i	−0.867307	−	0.232394i
$133$	−2.41394	−	8.23817i	−0.209315	−	0.714340i
$134$	−4.52559	−	2.61285i	−0.390952	−	0.225716i
$135$	0.562238	−	2.09830i	0.0483897	−	0.180593i
$136$	−0.207820	−	0.0556852i	−0.0178204	−	0.00477496i
$137$	−13.4562	−	3.60558i	−1.14964	−	0.308046i	−0.366820	−	0.930292i	$-0.619554\pi$
$137$	−13.4562	−	3.60558i	−1.14964	−	0.308046i	−0.782822	+	0.622246i	$0.786220\pi$
$138$	−0.308367	+	1.15084i	−0.0262499	+	0.0979661i
$139$	−16.9801	−	9.80347i	−1.44023	−	0.831520i	−0.442370	−	0.896833i	$-0.645862\pi$
$139$	−16.9801	−	9.80347i	−1.44023	−	0.831520i	−0.997865	+	0.0653129i	$0.979195\pi$
$140$	−2.42626	+	9.97683i	−0.205057	+	0.843196i
$141$	−2.20812	−	0.591665i	−0.185957	−	0.0498272i
$142$	3.08607	−	1.78175i	0.258978	−	0.149521i
$143$	−3.13669	+	20.5829i	−0.262303	+	1.72123i
$144$	−1.38222	+	2.39407i	−0.115185	+	0.199506i
$145$	4.67667	+	17.4536i	0.388377	+	1.44944i
$146$	5.00600	−	2.89022i	0.414300	−	0.239196i
$147$	−5.89301	+	3.77789i	−0.486047	+	0.311595i
$148$	−8.56928	−	8.56928i	−0.704391	−	0.704391i
$149$	−14.7002	−	14.7002i	−1.20429	−	1.20429i	−0.972850	−	0.231437i	$-0.925657\pi$
$149$	−14.7002	−	14.7002i	−1.20429	−	1.20429i	−0.231437	−	0.972850i	$-0.574343\pi$
$150$	−0.0336097	+	0.125433i	−0.00274422	+	0.0102416i
$151$	1.64385	+	6.13492i	0.133774	+	0.499252i	1.00000		0.000400666i	$-0.000127536\pi$
$151$	1.64385	+	6.13492i	0.133774	+	0.499252i	−0.866226	+	0.499653i	$0.833461\pi$
$152$		−	5.67714i		−	0.460477i
$153$	−0.0614826	−	0.106491i	−0.00497057	−	0.00860929i
$154$	−3.67104	−	6.03032i	−0.295821	−	0.485937i
$155$		−	7.89053i		−	0.633783i
$156$	5.89957	+	2.58541i	0.472344	+	0.206999i
$157$	−14.9626	−	8.63869i	−1.19415	−	0.689442i	−0.234904	−	0.972018i	$-0.575478\pi$
$157$	−14.9626	−	8.63869i	−1.19415	−	0.689442i	−0.959245	+	0.282576i	$0.908811\pi$
$158$	4.14360	+	4.14360i	0.329647	+	0.329647i
$159$	7.79171	+	4.49855i	0.617923	+	0.356758i
$160$	−5.18837	+	8.98651i	−0.410176	+	0.710446i
$161$	5.82693	−	3.54723i	0.459227	−	0.279561i
$162$	0.446344	−	0.119598i	0.0350681	−	0.00939648i
$163$	−5.15058	+	5.15058i	−0.403424	+	0.403424i	−0.879438	−	0.476014i	$-0.842081\pi$
$163$	−5.15058	+	5.15058i	−0.403424	+	0.403424i	0.476014	+	0.879438i	$0.342081\pi$
$164$	4.71575	−	1.26358i	0.368238	−	0.0986691i
$165$	−6.27210	−	10.8636i	−0.488283	−	0.845730i
$166$	1.55587	−	2.69484i	0.120759	−	0.209160i
$167$	−3.95502	+	14.7603i	−0.306049	+	1.14219i	0.625990	+	0.779831i	$0.284695\pi$
$167$	−3.95502	+	14.7603i	−0.306049	+	1.14219i	−0.932039	+	0.362359i	$0.881971\pi$
$168$	−4.44246	+	1.30172i	−0.342743	+	0.100430i
$169$	3.87230	−	12.4099i	0.297869	−	0.954607i
$170$	−0.0617167	−	0.106896i	−0.00473345	−	0.00819858i
$171$	2.29432	−	2.29432i	0.175451	−	0.175451i
$172$	−7.67839			−0.585472
$173$	13.4460			1.02228			0.511139	−	0.859498i	$-0.329224\pi$
$173$	13.4460			1.02228			0.511139	+	0.859498i	$0.329224\pi$
$174$	−2.71787	+	2.71787i	−0.206041	+	0.206041i
$175$	0.635092	−	0.386622i	0.0480085	−	0.0292258i
$176$	4.13163	+	15.4195i	0.311433	+	1.16229i
$177$	7.26896	+	1.94771i	0.546369	+	0.146399i
$178$	0.400476	−	0.231215i	0.0300170	−	0.0173303i
$179$			10.1614i			0.759502i	0.925089	+	0.379751i	$0.123990\pi$
$179$			10.1614i			0.759502i	−0.925089	+	0.379751i	$0.876010\pi$
$180$	−3.74856	+	1.00442i	−0.279401	+	0.0748653i
$181$	13.2772			0.986890			0.493445	−	0.869777i	$-0.335737\pi$
$181$	13.2772			0.986890			0.493445	+	0.869777i	$0.335737\pi$
$182$	1.69873	+	4.06759i	0.125919	+	0.301509i
$183$	6.15529			0.455012
$184$	4.35763	−	1.16762i	0.321249	−	0.0860783i
$185$		−	14.7362i		−	1.08343i
$186$	1.45358	−	0.839225i	0.106582	−	0.0615350i
$187$	−0.685876	−	0.183780i	−0.0501562	−	0.0134393i
$188$	1.05699	+	3.94475i	0.0770891	+	0.287701i
$189$	−2.32141	−	1.26927i	−0.168858	−	0.0923260i
$190$	2.30305	−	2.30305i	0.167081	−	0.167081i
$191$	−2.84564			−0.205903			−0.102952	−	0.994686i	$-0.532829\pi$
$191$	−2.84564			−0.205903			−0.102952	+	0.994686i	$0.532829\pi$
$192$	3.32156			0.239713
$193$	6.48459	−	6.48459i	0.466771	−	0.466771i	−0.434096	−	0.900867i	$-0.642932\pi$
$193$	6.48459	−	6.48459i	0.466771	−	0.466771i	0.900867	+	0.434096i	$0.142932\pi$
$194$	2.12594	+	3.68224i	0.152634	+	0.264369i
$195$	2.84961	+	7.29564i	0.204065	+	0.522452i
$196$	11.1087	+	5.74270i	0.793482	+	0.410193i
$197$	−5.08063	+	18.9612i	−0.361980	+	1.35093i	0.509490	+	0.860477i	$0.329834\pi$
$197$	−5.08063	+	18.9612i	−0.361980	+	1.35093i	−0.871469	+	0.490450i	$0.836833\pi$
$198$	1.33418	−	2.31087i	0.0948163	−	0.164227i
$199$	6.50154	+	11.2610i	0.460882	+	0.798271i	0.999005	−	0.0445950i	$-0.0141997\pi$
$199$	6.50154	+	11.2610i	0.460882	+	0.798271i	−0.538123	+	0.842866i	$0.680866\pi$
$200$	0.474949	−	0.127262i	0.0335840	−	0.00899880i
$201$	−7.99656	+	7.99656i	−0.564034	+	0.564034i
$202$	−2.65077	+	0.710271i	−0.186507	+	0.0499745i
$203$	22.0013	−	0.511410i	1.54419	−	0.0358939i
$204$	−0.109837	+	0.190243i	−0.00769013	+	0.0133197i
$205$	5.14120	+	2.96828i	0.359077	+	0.207313i
$206$	1.13974	+	1.13974i	0.0794091	+	0.0794091i
$207$	2.23293	+	1.28919i	0.155200	+	0.0896046i
$208$	−1.09984	−	9.90644i	−0.0762599	−	0.686888i
$209$		−	18.7365i		−	1.29603i
$210$	−2.33025	−	1.27411i	−0.160802	−	0.0879216i
$211$	−6.27387	−	10.8667i	−0.431911	−	0.748092i	0.565127	−	0.825004i	$-0.308827\pi$
$211$	−6.27387	−	10.8667i	−0.431911	−	0.748092i	−0.997038	+	0.0769120i	$0.975494\pi$
$212$		−	16.0731i		−	1.10390i
$213$	−1.99593	−	7.44892i	−0.136759	−	0.510391i
$214$	−0.801884	+	2.99267i	−0.0548157	+	0.204575i
$215$	−6.60211	−	6.60211i	−0.450260	−	0.450260i
$216$	−1.23722	−	1.23722i	−0.0841820	−	0.0841820i
$217$	−9.33801	−	2.27091i	−0.633905	−	0.154159i
$218$	−5.49943	+	3.17510i	−0.372469	+	0.215045i
$219$	−3.23765	−	12.0831i	−0.218780	−	0.816499i
$220$	−11.2049	+	19.4075i	−0.755437	+	1.30846i
$221$	0.406075	+	0.177957i	0.0273156	+	0.0119707i
$222$	2.71469	−	1.56733i	0.182198	−	0.105192i
$223$	−8.42664	−	2.25791i	−0.564290	−	0.151201i	−0.0346134	−	0.999401i	$-0.511020\pi$
$223$	−8.42664	−	2.25791i	−0.564290	−	0.151201i	−0.529676	+	0.848200i	$0.677687\pi$
$224$	9.14182	+	8.72648i	0.610814	+	0.583063i
$225$	0.243373	+	0.140512i	0.0162249	+	0.00936744i
$226$	−1.24785	+	4.65705i	−0.0830059	+	0.309782i
$227$	−8.26708	−	2.21516i	−0.548705	−	0.147025i	−0.0261929	−	0.999657i	$-0.508338\pi$
$227$	−8.26708	−	2.21516i	−0.548705	−	0.147025i	−0.522512	+	0.852632i	$0.675005\pi$
$228$	−5.59898	−	1.50024i	−0.370801	−	0.0993559i
$229$	−0.0597552	+	0.223009i	−0.00394873	+	0.0147369i	−0.967872	−	0.251443i	$-0.919095\pi$
$229$	−0.0597552	+	0.223009i	−0.00394873	+	0.0147369i	0.963923	+	0.266180i	$0.0857615\pi$
$230$	2.24144	+	1.29409i	0.147796	+	0.0853300i
$231$	−14.6616	+	4.29612i	−0.964663	+	0.282664i
$232$	14.0579	+	3.76682i	0.922949	+	0.247304i
$233$	−10.6007	+	6.12033i	−0.694476	+	0.400956i	−0.805287	−	0.592886i	$-0.797989\pi$
$233$	−10.6007	+	6.12033i	−0.694476	+	0.400956i	0.110811	+	0.993842i	$0.464655\pi$
$234$	−1.04091	+	1.30091i	−0.0680465	+	0.0850428i
$235$	−2.48298	+	4.30065i	−0.161972	+	0.280543i
$236$	−3.47954	−	12.9858i	−0.226499	−	0.845304i
$237$	10.9824	−	6.34069i	0.713384	−	0.411872i
$238$	−0.144268	+	0.0422733i	−0.00935152	+	0.00274017i
$239$	20.1615	+	20.1615i	1.30414	+	1.30414i	0.925577	+	0.378559i	$0.123580\pi$
$239$	20.1615	+	20.1615i	1.30414	+	1.30414i	0.378559	+	0.925577i	$0.376420\pi$
$240$	4.24634	+	4.24634i	0.274100	+	0.274100i
$241$	7.89165	−	29.4520i	0.508346	−	1.89717i	0.0719708	−	0.997407i	$-0.477071\pi$
$241$	7.89165	−	29.4520i	0.508346	−	1.89717i	0.436375	−	0.899765i	$-0.356262\pi$
$242$	−2.67248	−	9.97384i	−0.171794	−	0.641143i
$243$		−	1.00000i		−	0.0641500i
$244$	−5.49813	−	9.52303i	−0.351981	−	0.609650i
$245$	4.61388	+	14.4894i	0.294770	+	0.925692i
$246$			1.26281i			0.0805136i
$247$	−1.76247	+	11.5652i	−0.112143	+	0.735879i
$248$	−5.50394	−	3.17770i	−0.349501	−	0.201784i
$249$	−4.76169	−	4.76169i	−0.301760	−	0.301760i
$250$	4.59091	+	2.65056i	0.290355	+	0.167636i
$251$	9.75242	−	16.8917i	0.615567	−	1.06619i	−0.374717	−	0.927139i	$-0.622260\pi$
$251$	9.75242	−	16.8917i	0.615567	−	1.06619i	0.990285	−	0.139055i	$-0.0444064\pi$
$252$	0.109837	+	4.72529i	0.00691908	+	0.297665i
$253$	14.3816	−	3.85355i	0.904166	−	0.242271i
$254$	−3.04849	+	3.04849i	−0.191279	+	0.191279i
$255$	−0.258018	+	0.0691357i	−0.0161577	+	0.00432945i
$256$	−0.759627	−	1.31571i	−0.0474767	−	0.0822320i
$257$	12.0391	−	20.8524i	0.750981	−	1.30074i	−0.196366	−	0.980531i	$-0.562914\pi$
$257$	12.0391	−	20.8524i	0.750981	−	1.30074i	0.947347	−	0.320207i	$-0.103753\pi$
$258$	0.514039	−	1.91842i	0.0320027	−	0.119436i
$259$	−17.4395	−	4.24112i	−1.08364	−	0.263530i
$260$	8.74194	−	10.9255i	0.542152	−	0.677568i
$261$	4.15898	+	7.20357i	0.257434	+	0.445890i
$262$	2.07966	−	2.07966i	0.128482	−	0.128482i
$263$	3.22418			0.198812			0.0994058	−	0.995047i	$-0.468306\pi$
$263$	3.22418			0.198812			0.0994058	+	0.995047i	$0.468306\pi$
$264$	−10.1037			−0.621840
$265$	13.8201	−	13.8201i	0.848962	−	0.848962i
$266$	−2.06271	−	3.38836i	−0.126473	−	0.207754i
$267$	−0.259010	−	0.966637i	−0.0158511	−	0.0591572i
$268$	19.5146	+	5.22891i	1.19204	+	0.319407i
$269$	11.2824	−	6.51391i	0.687901	−	0.397160i	−0.114924	−	0.993374i	$-0.536662\pi$
$269$	11.2824	−	6.51391i	0.687901	−	0.397160i	0.802825	+	0.596214i	$0.203329\pi$
$270$		−	1.00381i		−	0.0610897i
$271$	16.9418	−	4.53953i	1.02914	−	0.275757i	0.295533	−	0.955332i	$-0.404503\pi$
$271$	16.9418	−	4.53953i	1.02914	−	0.275757i	0.733605	+	0.679576i	$0.237836\pi$
$272$	0.339929			0.0206112
$273$	9.45412	−	1.27266i	0.572189	−	0.0770248i
$274$	−6.43733			−0.388893
$275$	1.56749	−	0.420008i	0.0945233	−	0.0253275i
$276$		−	4.60619i		−	0.277260i
$277$	19.2494	−	11.1136i	1.15658	−	0.667753i	0.206099	−	0.978531i	$-0.433923\pi$
$277$	19.2494	−	11.1136i	1.15658	−	0.667753i	0.950482	+	0.310778i	$0.100590\pi$
$278$	−8.75145	−	2.34494i	−0.524877	−	0.140640i
$279$	−0.940109	−	3.50854i	−0.0562829	−	0.210051i
$280$	0.233688	+	10.0535i	0.0139656	+	0.600811i
$281$	−10.8193	+	10.8193i	−0.645426	+	0.645426i	−0.951884	−	0.306458i	$-0.900856\pi$
$281$	−10.8193	+	10.8193i	−0.645426	+	0.645426i	0.306458	+	0.951884i	$0.400856\pi$
$282$	−1.05634			−0.0629044
$283$	−22.2153			−1.32057			−0.660283	−	0.751017i	$-0.729563\pi$
$283$	−22.2153			−1.32057			−0.660283	+	0.751017i	$0.729563\pi$
$284$	−9.74161	+	9.74161i	−0.578058	+	0.578058i
$285$	−3.52421	−	6.10412i	−0.208756	−	0.361577i
$286$	1.06162	+	9.56219i	0.0627747	+	0.565424i
$287$	4.99244	−	5.23006i	0.294694	−	0.308721i
$288$	−1.23633	+	4.61403i	−0.0728512	+	0.271884i
$289$	8.49244	−	14.7093i	0.499555	−	0.865255i
$290$	4.17481	+	7.23099i	0.245154	+	0.424618i
$291$	8.88790	−	2.38150i	0.521018	−	0.139606i
$292$	−15.8021	+	15.8021i	−0.924750	+	0.924750i
$293$	−10.4135	+	2.79029i	−0.608363	+	0.163010i	−0.549832	−	0.835275i	$-0.685308\pi$
$293$	−10.4135	+	2.79029i	−0.608363	+	0.163010i	−0.0585312	+	0.998286i	$0.518642\pi$
$294$	−2.17848	+	2.39103i	−0.127052	+	0.139448i
$295$	8.17378	−	14.1574i	0.475896	−	0.824275i
$296$	−10.2791	−	5.93464i	−0.597460	−	0.344944i
$297$	−4.08324	−	4.08324i	−0.236933	−	0.236933i
$298$	−8.31946	−	4.80324i	−0.481933	−	0.278244i
$299$	−9.23968	+	1.02581i	−0.534344	+	0.0593242i
$300$		−	0.502040i		−	0.0289853i
$301$	−9.71333	+	5.91313i	−0.559867	+	0.340827i
$302$	1.46744	+	2.54168i	0.0844418	+	0.146258i
$303$			5.93884i			0.341177i
$304$	2.32151	+	8.66399i	0.133148	+	0.496914i
$305$	3.46073	−	12.9156i	0.198161	−	0.739547i
$306$	−0.0401785	−	0.0401785i	−0.00229685	−	0.00229685i
$307$	−20.7789	−	20.7789i	−1.18592	−	1.18592i	−0.978186	−	0.207731i	$-0.933392\pi$
$307$	−20.7789	−	20.7789i	−1.18592	−	1.18592i	−0.207731	−	0.978186i	$-0.566608\pi$
$308$	19.7429	+	18.8460i	1.12496	+	1.07385i
$309$	3.02081	−	1.74407i	0.171848	−	0.0992164i
$310$	−0.943688	−	3.52189i	−0.0535979	−	0.200030i
$311$	13.5145	−	23.4078i	0.766336	−	1.32733i	−0.173202	−	0.984886i	$-0.555411\pi$
$311$	13.5145	−	23.4078i	0.766336	−	1.32733i	0.939538	−	0.342446i	$-0.111255\pi$
$312$	6.23660	+	0.950416i	0.353078	+	0.0538067i
$313$	−6.52501	+	3.76722i	−0.368815	+	0.212936i	−0.672941	−	0.739696i	$-0.734969\pi$
$313$	−6.52501	+	3.76722i	−0.368815	+	0.212936i	0.304125	+	0.952632i	$0.401636\pi$
$314$	−7.71166	−	2.06633i	−0.435194	−	0.116610i
$315$	−3.96850	+	4.15738i	−0.223600	+	0.234242i
$316$	−19.6198	−	11.3275i	−1.10370	−	0.637221i
$317$	−5.10103	+	19.0373i	−0.286503	+	1.06924i	0.661232	+	0.750182i	$0.270034\pi$
$317$	−5.10103	+	19.0373i	−0.286503	+	1.06924i	−0.947734	+	0.319061i	$0.896633\pi$
$318$	4.01580	+	1.07603i	0.225195	+	0.0603408i
$319$	46.3959	+	12.4318i	2.59767	+	0.696045i
$320$	1.86750	−	6.96962i	0.104397	−	0.389614i
$321$	5.80657	+	3.35243i	0.324091	+	0.187114i
$322$	2.17658	−	2.28017i	0.121296	−	0.127069i
$323$	−0.385385	−	0.103263i	−0.0214434	−	0.00574573i
$324$	−1.54713	+	0.893237i	−0.0859517	+	0.0496243i
$325$	−1.00706	+	0.111806i	−0.0558614	+	0.00620187i
$326$	−1.68293	+	2.91493i	−0.0932091	+	0.161443i
$327$	3.55678	+	13.2741i	0.196690	+	0.734059i
$328$	4.14097	−	2.39079i	0.228647	−	0.132009i
$329$	4.37497	+	4.17621i	0.241200	+	0.230242i
$330$	−4.09878	−	4.09878i	−0.225630	−	0.225630i
$331$	2.77446	+	2.77446i	0.152498	+	0.152498i	0.779233	−	0.626735i	$-0.215609\pi$
$331$	2.77446	+	2.77446i	0.152498	+	0.152498i	−0.626735	+	0.779233i	$0.715609\pi$
$332$	−3.11364	+	11.6203i	−0.170883	+	0.637745i
$333$	−1.75574	−	6.55250i	−0.0962137	−	0.359075i
$334$			7.06121i			0.386372i
$335$	12.2832	+	21.2752i	0.671104	+	1.16239i
$336$	6.24742	−	3.80321i	0.340825	−	0.207482i
$337$		−	10.3222i		−	0.562288i	−0.959666	−	0.281144i	$-0.909286\pi$
$337$		−	10.3222i		−	0.562288i	0.959666	−	0.281144i	$-0.0907139\pi$
$338$	0.244186	−	6.00220i	0.0132820	−	0.326477i
$339$	9.03590	+	5.21688i	0.490763	+	0.283342i
$340$	0.337433	+	0.337433i	0.0182999	+	0.0182999i
$341$	−18.1649	−	10.4875i	−0.983683	−	0.567929i
$342$	0.749661	−	1.29845i	0.0405370	−	0.0702122i
$343$	18.4753	−	1.29020i	0.997570	−	0.0696645i
$344$	−7.26405	+	1.94640i	−0.391651	+	0.104943i
$345$	3.96054	−	3.96054i	0.213228	−	0.213228i
$346$	6.00153	−	1.60811i	0.322644	−	0.0864523i
$347$	10.5916	+	18.3452i	0.568587	+	0.984822i	0.996706	+	0.0810992i	$0.0258431\pi$
$347$	10.5916	+	18.3452i	0.568587	+	0.984822i	−0.428119	+	0.903722i	$0.640824\pi$
$348$	7.42991	−	12.8690i	0.398285	−	0.689850i
$349$	−9.29865	+	34.7030i	−0.497745	+	1.85761i	0.0163325	+	0.999867i	$0.494801\pi$
$349$	−9.29865	+	34.7030i	−0.497745	+	1.85761i	−0.514078	+	0.857744i	$0.671866\pi$
$350$	0.237231	−	0.248522i	0.0126805	−	0.0132841i
$351$	2.13632	+	2.90451i	0.114028	+	0.155031i
$352$	13.7920	+	23.8884i	0.735114	+	1.27326i
$353$	18.9860	−	18.9860i	1.01052	−	1.01052i	0.0105780	−	0.999944i	$-0.496633\pi$
$353$	18.9860	−	18.9860i	1.01052	−	1.01052i	0.999944	−	0.0105780i	$-0.00336715\pi$
$354$	3.47740			0.184822
$355$	−16.7523			−0.889118
$356$	−1.26416	+	1.26416i	−0.0670002	+	0.0670002i
$357$	0.00756022	+	0.325247i	0.000400129	+	0.0172139i
$358$	1.21528	+	4.53550i	0.0642298	+	0.239709i
$359$	−18.4616	−	4.94676i	−0.974363	−	0.261080i	−0.263694	−	0.964606i	$-0.584941\pi$
$359$	−18.4616	−	4.94676i	−0.974363	−	0.261080i	−0.710669	+	0.703526i	$0.751608\pi$
$360$	−3.29167	+	1.90044i	−0.173486	+	0.100162i
$361$			8.47222i			0.445906i
$362$	5.92623	−	1.58793i	0.311475	−	0.0834596i
$363$	−22.3456			−1.17284
$364$	−10.4137	−	13.4900i	−0.545828	−	0.707067i
$365$	−27.1743			−1.42237
$366$	2.74738	−	0.736157i	0.143608	−	0.0384796i
$367$			7.88662i			0.411678i	0.978586	+	0.205839i	$0.0659923\pi$
$367$			7.88662i			0.411678i	−0.978586	+	0.205839i	$0.934008\pi$
$368$	−6.17280	+	3.56387i	−0.321779	+	0.185779i
$369$	2.63970	+	0.707305i	0.137417	+	0.0368208i
$370$	−1.76242	−	6.57744i	−0.0916238	−	0.341945i
$371$	−12.3779	−	20.3328i	−0.642627	−	1.05563i
$372$	−4.58843	+	4.58843i	−0.237899	+	0.237899i
$373$	−23.0657			−1.19430			−0.597149	−	0.802130i	$-0.703700\pi$
$373$	−23.0657			−1.19430			−0.597149	+	0.802130i	$0.703700\pi$
$374$	−0.328116			−0.0169665
$375$	8.11198	−	8.11198i	0.418901	−	0.418901i
$376$	1.99991	+	3.46395i	0.103138	+	0.178639i
$377$	−27.4689	−	12.0379i	−1.41472	−	0.619983i
$378$	−1.18795	−	0.288898i	−0.0611016	−	0.0148593i
$379$	0.382149	−	1.42620i	0.0196297	−	0.0732590i	−0.955416	−	0.295262i	$-0.904593\pi$
$379$	0.382149	−	1.42620i	0.0196297	−	0.0732590i	0.975046	+	0.222003i	$0.0712596\pi$
$380$	−6.29591	+	10.9048i	−0.322974	+	0.559407i
$381$	4.66492	+	8.07987i	0.238991	+	0.413944i
$382$	−1.27014	+	0.340332i	−0.0649858	+	0.0174129i
$383$	−14.8011	+	14.8011i	−0.756299	+	0.756299i	−0.975647	−	0.219348i	$-0.929607\pi$
$383$	−14.8011	+	14.8011i	−0.756299	+	0.756299i	0.219348	+	0.975647i	$0.429607\pi$
$384$	10.7106	−	2.86990i	0.546574	−	0.146454i
$385$	0.771251	+	33.1799i	0.0393066	+	1.69100i
$386$	2.11882	−	3.66990i	0.107845	−	0.186793i
$387$	−3.72224	−	2.14904i	−0.189212	−	0.109242i
$388$	−11.6235	−	11.6235i	−0.590094	−	0.590094i
$389$	29.1730	+	16.8431i	1.47913	+	0.853977i	0.999721	−	0.0236147i	$-0.00751748\pi$
$389$	29.1730	+	16.8431i	1.47913	+	0.853977i	0.479410	+	0.877591i	$0.340851\pi$
$390$	2.14445	+	2.91556i	0.108588	+	0.147635i
$391$		−	0.317050i		−	0.0160339i
$392$	11.9650	+	2.61686i	0.604324	+	0.132171i
$393$	−3.18237	−	5.51203i	−0.160530	−	0.278045i
$394$			9.07084i			0.456982i
$395$	−7.12996	−	26.6094i	−0.358747	−	1.33886i
$396$	−2.67001	+	9.96459i	−0.134173	+	0.500740i
$397$	−6.62311	−	6.62311i	−0.332404	−	0.332404i	0.521095	−	0.853499i	$-0.325524\pi$
$397$	−6.62311	−	6.62311i	−0.332404	−	0.332404i	−0.853499	+	0.521095i	$0.825524\pi$
$398$	4.24872	+	4.24872i	0.212969	+	0.212969i
$399$	−8.23817	+	2.41394i	−0.412424	+	0.120848i
$400$	−0.672789	+	0.388435i	−0.0336394	+	0.0194217i
$401$	5.84434	+	21.8114i	0.291853	+	1.08921i	0.943685	+	0.330846i	$0.107334\pi$
$401$	5.84434	+	21.8114i	0.291853	+	1.08921i	−0.651832	+	0.758363i	$0.725999\pi$
$402$	−2.61285	+	4.52559i	−0.130317	+	0.225716i
$403$	10.2259	+	8.18219i	0.509388	+	0.407584i
$404$	9.18817	−	5.30479i	0.457128	−	0.263923i
$405$	−2.09830	−	0.562238i	−0.104265	−	0.0279378i
$406$	9.75900	−	2.85957i	0.484331	−	0.141918i
$407$	−33.9245	−	19.5863i	−1.68157	−	0.970857i
$408$	−0.0556852	+	0.207820i	−0.00275683	+	0.0102886i
$409$	29.8828	+	8.00708i	1.47761	+	0.395925i	0.905533	−	0.424275i	$-0.139471\pi$
$409$	29.8828	+	8.00708i	1.47761	+	0.395925i	0.572078	+	0.820199i	$0.306138\pi$
$410$	2.64975	+	0.709997i	0.130862	+	0.0350643i
$411$	−3.60558	+	13.4562i	−0.177850	+	0.663746i
$412$	−5.39660	−	3.11573i	−0.265871	−	0.153501i
$413$	−14.4021	−	13.7477i	−0.708680	−	0.676482i
$414$	1.15084	+	0.308367i	0.0565608	+	0.0151554i
$415$	−12.6686	+	7.31425i	−0.621879	+	0.359042i
$416$	−6.26612	−	16.0427i	−0.307222	−	0.786556i
$417$	−9.80347	+	16.9801i	−0.480078	+	0.831520i
$418$	−2.24084	−	8.36292i	−0.109603	−	0.409044i
$419$	−17.9762	+	10.3786i	−0.878196	+	0.507027i	−0.870063	−	0.492940i	$-0.835922\pi$
$419$	−17.9762	+	10.3786i	−0.878196	+	0.507027i	−0.00813276	+	0.999967i	$0.502589\pi$
$420$	9.97683	+	2.42626i	0.486819	+	0.118390i
$421$	7.60341	+	7.60341i	0.370568	+	0.370568i	0.867684	−	0.497116i	$-0.165608\pi$
$421$	7.60341	+	7.60341i	0.370568	+	0.370568i	−0.497116	+	0.867684i	$0.665608\pi$
$422$	−4.09994	−	4.09994i	−0.199582	−	0.199582i
$423$	−0.591665	+	2.20812i	−0.0287677	+	0.107363i
$424$	−4.07436	−	15.2057i	−0.197868	−	0.738455i
$425$		−	0.0345561i		−	0.00167622i
$426$	−1.78175	−	3.08607i	−0.0863259	−	0.149521i
$427$	−14.2889	−	7.81274i	−0.691490	−	0.378085i
$428$		−	11.9780i		−	0.578980i
$429$	20.5829	+	3.13669i	0.993750	+	0.151441i
$430$	−3.73641	−	2.15722i	−0.180186	−	0.104030i
$431$	8.61681	+	8.61681i	0.415057	+	0.415057i	0.883496	−	0.468439i	$-0.155183\pi$
$431$	8.61681	+	8.61681i	0.415057	+	0.415057i	−0.468439	+	0.883496i	$0.655183\pi$
$432$	2.39407	+	1.38222i	0.115185	+	0.0665019i
$433$	−17.4442	+	30.2143i	−0.838316	+	1.45201i	0.0529860	+	0.998595i	$0.483126\pi$
$433$	−17.4442	+	30.2143i	−0.838316	+	1.45201i	−0.891302	+	0.453410i	$0.850207\pi$
$434$	−4.43956	+	0.103195i	−0.213106	+	0.00495354i
$435$	17.4536	−	4.67667i	0.836835	−	0.224229i
$436$	17.3597	−	17.3597i	0.831379	−	0.831379i
$437$	8.08086	−	2.16526i	0.386560	−	0.103578i
$438$	−2.89022	−	5.00600i	−0.138100	−	0.239196i
$439$	−11.3262	+	19.6176i	−0.540572	+	0.936297i	0.458300	+	0.888798i	$0.348459\pi$
$439$	−11.3262	+	19.6176i	−0.540572	+	0.936297i	−0.998871	+	0.0474997i	$0.984875\pi$
$440$	−5.68069	+	21.2006i	−0.270816	+	1.01070i
$441$	3.77789	+	5.89301i	0.179900	+	0.280619i
$442$	0.202533	+	0.0308646i	0.00963349	+	0.00146808i
$443$	−0.888399	−	1.53875i	−0.0422091	−	0.0731083i	0.844149	−	0.536109i	$-0.180106\pi$
$443$	−0.888399	−	1.53875i	−0.0422091	−	0.0731083i	−0.886358	+	0.463000i	$0.846773\pi$
$444$	−8.56928	+	8.56928i	−0.406680	+	0.406680i
$445$	−2.17392			−0.103054
$446$	−4.03123			−0.190884
$447$	−14.7002	+	14.7002i	−0.695295	+	0.695295i
$448$	−7.71069	−	4.21596i	−0.364296	−	0.199185i
$449$	−1.32995	−	4.96344i	−0.0627643	−	0.234239i	0.927417	−	0.374029i	$-0.122024\pi$
$449$	−1.32995	−	4.96344i	−0.0627643	−	0.234239i	−0.990181	+	0.139790i	$0.955357\pi$
$450$	0.125433	+	0.0336097i	0.00591298	+	0.00158438i
$451$	13.6666	−	7.89041i	0.643535	−	0.371545i
$452$		−	18.6396i		−	0.876735i
$453$	6.13492	−	1.64385i	0.288243	−	0.0772346i
$454$	−3.95489			−0.185612
$455$	2.64504	−	20.5531i	0.124002	−	0.963545i
$456$	−5.67714			−0.265856
$457$	−9.23423	+	2.47430i	−0.431959	+	0.115743i	−0.468246	−	0.883598i	$-0.655114\pi$
$457$	−9.23423	+	2.47430i	−0.431959	+	0.115743i	0.0362866	+	0.999341i	$0.488447\pi$
$458$			0.106686i			0.00498509i
$459$	−0.106491	+	0.0614826i	−0.00497057	+	0.00286976i
$460$	−9.66517	−	2.58977i	−0.450641	−	0.120749i
$461$	−4.25884	−	15.8942i	−0.198354	−	0.740267i	−0.991373	−	0.131070i	$-0.958159\pi$
$461$	−4.25884	−	15.8942i	−0.198354	−	0.740267i	0.793019	−	0.609197i	$-0.208508\pi$
$462$	−6.03032	+	3.67104i	−0.280556	+	0.170792i
$463$	−18.2773	+	18.2773i	−0.849419	+	0.849419i	−0.990061	−	0.140641i	$-0.955084\pi$
$463$	−18.2773	+	18.2773i	−0.849419	+	0.849419i	0.140641	+	0.990061i	$0.455084\pi$
$464$	−22.9944			−1.06749
$465$	−7.89053			−0.365915
$466$	−3.99959	+	3.99959i	−0.185278	+	0.185278i
$467$	0.886766	+	1.53592i	0.0410346	+	0.0710741i	0.885813	−	0.464042i	$-0.153601\pi$
$467$	0.886766	+	1.53592i	0.0410346	+	0.0710741i	−0.844779	+	0.535116i	$0.820268\pi$
$468$	2.58541	−	5.89957i	0.119511	−	0.272708i
$469$	28.7131	−	8.41349i	1.32585	−	0.388499i
$470$	−0.593917	+	2.21653i	−0.0273954	+	0.102241i
$471$	−8.63869	+	14.9626i	−0.398050	+	0.689442i
$472$	−6.58355	−	11.4030i	−0.303032	−	0.524867i
$473$	−23.9738	+	6.42376i	−1.10232	+	0.295365i
$474$	4.14360	−	4.14360i	0.190322	−	0.190322i
$475$	0.880754	−	0.235997i	0.0404117	−	0.0108283i
$476$	0.496447	−	0.302220i	0.0227546	−	0.0138522i
$477$	4.49855	−	7.79171i	0.205974	−	0.356758i
$478$	11.4102	+	6.58769i	0.521891	+	0.301314i
$479$	−19.4268	−	19.4268i	−0.887634	−	0.887634i	0.106661	−	0.994295i	$-0.465984\pi$
$479$	−19.4268	−	19.4268i	−0.887634	−	0.887634i	−0.994295	+	0.106661i	$0.965984\pi$
$480$	8.98651	+	5.18837i	0.410176	+	0.236815i
$481$	19.0978	+	15.2809i	0.870782	+	0.696751i
$482$		−	14.0896i		−	0.641762i
$483$	−3.54723	−	5.82693i	−0.161405	−	0.265135i
$484$	19.9599	+	34.5716i	0.907269	+	1.57144i
$485$		−	19.9885i		−	0.907629i
$486$	−0.119598	−	0.446344i	−0.00542506	−	0.0202466i
$487$	3.01789	−	11.2629i	0.136754	−	0.510372i	−0.863231	−	0.504810i	$-0.831563\pi$
$487$	3.01789	−	11.2629i	0.136754	−	0.510372i	0.999985	−	0.00556257i	$-0.00177063\pi$
$488$	−7.61543	−	7.61543i	−0.344734	−	0.344734i
$489$	5.15058	+	5.15058i	0.232917	+	0.232917i
$490$	3.79227	+	5.91544i	0.171318	+	0.267232i
$491$	22.5382	−	13.0124i	1.01713	−	0.587242i	0.103861	−	0.994592i	$-0.466880\pi$
$491$	22.5382	−	13.0124i	1.01713	−	0.587242i	0.913272	+	0.407350i	$0.133547\pi$
$492$	−1.26358	−	4.71575i	−0.0569666	−	0.212602i
$493$	0.511410	−	0.885788i	0.0230327	−	0.0398939i
$494$	0.596508	+	5.37287i	0.0268382	+	0.241737i
$495$	−10.8636	+	6.27210i	−0.488283	+	0.281910i
$496$	9.69911	+	2.59887i	0.435503	+	0.116693i
$497$	−4.82133	+	19.8254i	−0.216266	+	0.889290i
$498$	−2.69484	−	1.55587i	−0.120759	−	0.0697200i
$499$	−1.97862	+	7.38431i	−0.0885751	+	0.330567i	−0.995967	−	0.0897183i	$-0.971403\pi$
$499$	−1.97862	+	7.38431i	−0.0885751	+	0.330567i	0.907392	+	0.420285i	$0.138070\pi$
$500$	−19.7962	−	5.30438i	−0.885314	−	0.237219i
$501$	14.7603	+	3.95502i	0.659444	+	0.176697i
$502$	2.33273	−	8.70588i	0.104115	−	0.388562i
$503$	33.6301	+	19.4164i	1.49949	+	0.865733i	1.00000		0.000585431i	$-0.000186349\pi$
$503$	33.6301	+	19.4164i	1.49949	+	0.865733i	0.499493	+	0.866318i	$0.333520\pi$
$504$	1.30172	+	4.44246i	0.0579834	+	0.197883i
$505$	12.4615	+	3.33904i	0.554528	+	0.148585i
$506$	5.95829	−	3.44002i	0.264878	−	0.152928i
$507$	−12.4099	−	3.87230i	−0.551142	−	0.171975i
$508$	8.33375	−	14.4345i	0.369750	−	0.640426i
$509$	0.142172	+	0.530594i	0.00630167	+	0.0235182i	0.969005	−	0.247041i	$-0.0794582\pi$
$509$	0.142172	+	0.530594i	0.00630167	+	0.0235182i	−0.962703	+	0.270559i	$0.912792\pi$
$510$	−0.106896	+	0.0617167i	−0.00473345	+	0.00273286i
$511$	−7.82081	+	32.1593i	−0.345972	+	1.42264i
$512$	−16.1778	−	16.1778i	−0.714967	−	0.714967i
$513$	−2.29432	−	2.29432i	−0.101297	−	0.101297i
$514$	2.87971	−	10.7472i	0.127018	−	0.474039i
$515$	−1.96116	−	7.31915i	−0.0864190	−	0.322520i
$516$			7.67839i			0.338022i
$517$	6.60038	+	11.4322i	0.290284	+	0.502787i
$518$	−8.29127	+	0.192727i	−0.364297	+	0.00846792i
$519$		−	13.4460i		−	0.590213i
$520$	5.50071	−	12.5519i	0.241222	−	0.550437i
$521$	2.54536	+	1.46957i	0.111514	+	0.0643828i	0.554720	−	0.832037i	$-0.312825\pi$
$521$	2.54536	+	1.46957i	0.111514	+	0.0643828i	−0.443205	+	0.896420i	$0.646159\pi$
$522$	2.71787	+	2.71787i	0.118958	+	0.118958i
$523$	7.00067	+	4.04184i	0.306118	+	0.176737i	0.645188	−	0.764024i	$-0.276779\pi$
$523$	7.00067	+	4.04184i	0.306118	+	0.176737i	−0.339070	+	0.940761i	$0.610112\pi$
$524$	−5.68522	+	9.84710i	−0.248360	+	0.430172i
$525$	−0.386622	−	0.635092i	−0.0168736	−	0.0277177i
$526$	1.43910	−	0.385605i	0.0627476	−	0.0168132i
$527$	−0.315827	+	0.315827i	−0.0137576	+	0.0137576i
$528$	15.4195	−	4.13163i	0.671046	−	0.179806i
$529$	−8.17600	−	14.1613i	−0.355478	−	0.615707i
$530$	4.51567	−	7.82137i	0.196148	−	0.339739i
$531$	1.94771	−	7.26896i	0.0845235	−	0.315446i
$532$	11.0933	+	10.5893i	0.480956	+	0.459105i
$533$	−9.17804	+	3.58486i	−0.397545	+	0.155278i
$534$	−0.231215	−	0.400476i	−0.0100057	−	0.0173303i
$535$	10.2991	−	10.2991i	0.445268	−	0.445268i
$536$	19.7870			0.854668
$537$	10.1614			0.438499
$538$	4.25680	−	4.25680i	0.183524	−	0.183524i
$539$	39.4886	+	8.63651i	1.70089	+	0.372001i
$540$	1.00442	+	3.74856i	0.0432235	+	0.161312i
$541$	−14.2796	−	3.82620i	−0.613927	−	0.164501i	−0.0615617	−	0.998103i	$-0.519608\pi$
$541$	−14.2796	−	3.82620i	−0.613927	−	0.164501i	−0.552366	+	0.833602i	$0.686275\pi$
$542$	7.01894	−	4.05239i	0.301489	−	0.174065i
$543$		−	13.2772i		−	0.569781i
$544$	0.567365	−	0.152025i	0.0243256	−	0.00651802i
$545$	29.8528			1.27875
$546$	4.06759	−	1.69873i	0.174077	−	0.0726991i
$547$	11.0304			0.471626			0.235813	−	0.971798i	$-0.424225\pi$
$547$	11.0304			0.471626			0.235813	+	0.971798i	$0.424225\pi$
$548$	24.0392	−	6.44128i	1.02690	−	0.275158i
$549$		−	6.15529i		−	0.262701i
$550$	0.649409	−	0.374937i	0.0276909	−	0.0159874i
$551$	26.0693	+	6.98524i	1.11059	+	0.297581i
$552$	−1.16762	−	4.35763i	−0.0496974	−	0.185473i
$553$	−33.5427	+	0.779685i	−1.42638	+	0.0331556i
$554$	7.26268	−	7.26268i	0.308562	−	0.308562i
$555$	−14.7362			−0.625519
$556$	35.0273			1.48549
$557$	−5.64641	+	5.64641i	−0.239246	+	0.239246i	−0.816538	−	0.577292i	$-0.804110\pi$
$557$	−5.64641	+	5.64641i	−0.239246	+	0.239246i	0.577292	+	0.816538i	$0.304110\pi$
$558$	−0.839225	−	1.45358i	−0.0355272	−	0.0615350i
$559$	15.4023	−	1.71000i	0.651447	−	0.0723252i
$560$	−4.46773	−	15.2473i	−0.188796	−	0.644315i
$561$	−0.183780	+	0.685876i	−0.00775919	+	0.0289577i
$562$	−3.53517	+	6.12310i	−0.149122	+	0.258287i
$563$	14.9889	+	25.9615i	0.631705	+	1.09414i	0.987203	+	0.159468i	$0.0509778\pi$
$563$	14.9889	+	25.9615i	0.631705	+	1.09414i	−0.355498	+	0.934677i	$0.615689\pi$
$564$	3.94475	−	1.05699i	0.166104	−	0.0445074i
$565$	16.0269	−	16.0269i	0.674257	−	0.674257i
$566$	−9.91569	+	2.65690i	−0.416788	+	0.111678i
$567$	−1.26927	+	2.32141i	−0.0533045	+	0.0974901i
$568$	−6.74653	+	11.6853i	−0.283078	+	0.490306i
$569$	0.962494	+	0.555696i	0.0403498	+	0.0232960i	0.520039	−	0.854142i	$-0.325917\pi$
$569$	0.962494	+	0.555696i	0.0403498	+	0.0232960i	−0.479689	+	0.877438i	$0.659251\pi$
$570$	−2.30305	−	2.30305i	−0.0964642	−	0.0964642i
$571$	−5.83983	−	3.37163i	−0.244389	−	0.141098i	0.372803	−	0.927910i	$-0.378397\pi$
$571$	−5.83983	−	3.37163i	−0.244389	−	0.141098i	−0.617192	+	0.786812i	$0.711730\pi$
$572$	−13.5325	−	34.6462i	−0.565822	−	1.44863i
$573$			2.84564i			0.118878i
$574$	1.60285	−	2.93149i	0.0669015	−	0.122358i
$575$	0.362291	+	0.627507i	0.0151086	+	0.0261688i
$576$		−	3.32156i		−	0.138398i
$577$	−3.08419	−	11.5103i	−0.128396	−	0.479182i	0.871542	−	0.490322i	$-0.163121\pi$
$577$	−3.08419	−	11.5103i	−0.128396	−	0.479182i	−0.999938	+	0.0111397i	$0.996454\pi$
$578$	2.03135	−	7.58111i	0.0844931	−	0.315332i
$579$	−6.48459	−	6.48459i	−0.269490	−	0.269490i
$580$	−22.8256	−	22.8256i	−0.947782	−	0.947782i
$581$	5.00995	+	17.0977i	0.207848	+	0.709332i
$582$	3.68224	−	2.12594i	0.152634	−	0.0881232i
$583$	−13.4468	−	50.1840i	−0.556908	−	2.07841i
$584$	−10.9437	+	18.9551i	−0.452855	+	0.784367i
$585$	7.29564	−	2.84961i	0.301638	−	0.117817i
$586$	−4.31430	+	2.49086i	−0.178222	+	0.102897i
$587$	−23.1594	−	6.20554i	−0.955891	−	0.256130i	−0.253031	−	0.967458i	$-0.581427\pi$
$587$	−23.1594	−	6.20554i	−0.955891	−	0.256130i	−0.702860	+	0.711328i	$0.748094\pi$
$588$	5.74270	−	11.1087i	0.236825	−	0.458117i
$589$	−10.2066	−	5.89279i	−0.420556	−	0.242808i
$590$	1.95513	−	7.29664i	0.0804913	−	0.300398i
$591$	18.9612	+	5.08063i	0.779958	+	0.208989i
$592$	18.1139	+	4.85361i	0.744478	+	0.199482i
$593$	−10.7039	+	39.9476i	−0.439558	+	1.64045i	0.290360	+	0.956917i	$0.406225\pi$
$593$	−10.7039	+	39.9476i	−0.439558	+	1.64045i	−0.729918	+	0.683535i	$0.760442\pi$
$594$	−2.31087	−	1.33418i	−0.0948163	−	0.0547422i
$595$	0.686718	+	0.167003i	0.0281527	+	0.00684645i
$596$	35.8739	+	9.61238i	1.46945	+	0.393738i
$597$	11.2610	−	6.50154i	0.460882	−	0.266090i
$598$	−4.00139	+	1.56291i	−0.163629	+	0.0639121i
$599$	−7.72078	+	13.3728i	−0.315463	+	0.546397i	−0.979536	−	0.201270i	$-0.935493\pi$
$599$	−7.72078	+	13.3728i	−0.315463	+	0.546397i	0.664073	+	0.747668i	$0.268826\pi$
$600$	−0.127262	−	0.474949i	−0.00519546	−	0.0193897i
$601$	−14.4303	+	8.33134i	−0.588624	+	0.339842i	−0.764553	−	0.644561i	$-0.777040\pi$
$601$	−14.4303	+	8.33134i	−0.588624	+	0.339842i	0.175929	+	0.984403i	$0.443707\pi$
$602$	−3.62829	+	3.80098i	−0.147878	+	0.154917i
$603$	7.99656	+	7.99656i	0.325645	+	0.325645i
$604$	−8.02317	−	8.02317i	−0.326458	−	0.326458i
$605$	−12.5636	+	46.8878i	−0.510781	+	1.90626i
$606$	0.710271	+	2.65077i	0.0288528	+	0.107680i
$607$		−	12.5977i		−	0.511324i	−0.966766	−	0.255662i	$-0.917707\pi$
$607$		−	12.5977i		−	0.511324i	0.966766	−	0.255662i	$-0.0822935\pi$
$608$	7.74953	+	13.4226i	0.314285	+	0.544357i
$609$	−0.511410	−	22.0013i	−0.0207234	−	0.891538i
$610$		−	6.17872i		−	0.250169i
$611$	−2.99876	−	7.67749i	−0.121317	−	0.310598i
$612$	0.190243	+	0.109837i	0.00769013	+	0.00443990i
$613$	−20.8614	−	20.8614i	−0.842586	−	0.842586i	0.146609	−	0.989195i	$-0.453164\pi$
$613$	−20.8614	−	20.8614i	−0.842586	−	0.842586i	−0.989195	+	0.146609i	$0.953164\pi$
$614$	−11.7597	−	6.78945i	−0.474582	−	0.274000i
$615$	2.96828	−	5.14120i	0.119692	−	0.207313i
$616$	23.4548	+	12.8244i	0.945022	+	0.516708i
$617$	−15.2562	+	4.08788i	−0.614191	+	0.164572i	−0.552486	−	0.833522i	$-0.686321\pi$
$617$	−15.2562	+	4.08788i	−0.614191	+	0.164572i	−0.0617053	+	0.998094i	$0.519654\pi$
$618$	1.13974	−	1.13974i	0.0458469	−	0.0458469i
$619$	−4.44775	+	1.19177i	−0.178770	+	0.0479013i	−0.347094	−	0.937831i	$-0.612831\pi$
$619$	−4.44775	+	1.19177i	−0.178770	+	0.0479013i	0.168323	+	0.985732i	$0.446165\pi$
$620$	7.04811	+	12.2077i	0.283059	+	0.490272i
$621$	1.28919	−	2.23293i	0.0517332	−	0.0896046i
$622$	3.23260	−	12.0642i	0.129615	−	0.483731i
$623$	−0.625659	+	2.57272i	−0.0250665	+	0.103074i
$624$	−9.90644	+	1.09984i	−0.396575	+	0.0440287i
$625$	−11.7580	−	20.3654i	−0.470318	−	0.814615i
$626$	−2.46185	+	2.46185i	−0.0983954	+	0.0983954i
$627$	−18.7365			−0.748263
$628$	30.8656			1.23167
$629$	−0.589834	+	0.589834i	−0.0235182	+	0.0235182i
$630$	−1.27411	+	2.33025i	−0.0507616	+	0.0928393i
$631$	2.09530	+	7.81977i	0.0834126	+	0.311300i	0.995009	−	0.0997866i	$-0.0318160\pi$
$631$	2.09530	+	7.81977i	0.0834126	+	0.311300i	−0.911596	+	0.411087i	$0.865149\pi$
$632$	−21.4324	−	5.74281i	−0.852537	−	0.228437i
$633$	−10.8667	+	6.27387i	−0.431911	+	0.249364i
$634$			9.10727i			0.361696i
$635$	19.5768	−	5.24559i	0.776881	−	0.208165i
$636$	−16.0731			−0.637338
$637$	−23.5622	−	9.04549i	−0.933570	−	0.358395i
$638$	22.1954			0.878724
$639$	−7.44892	+	1.99593i	−0.294675	+	0.0789578i
$640$		−	24.0877i		−	0.952149i
$641$	34.6183	−	19.9869i	1.36734	−	0.789435i	0.376754	−	0.926314i	$-0.377040\pi$
$641$	34.6183	−	19.9869i	1.36734	−	0.789435i	0.990588	+	0.136879i	$0.0437070\pi$
$642$	2.99267	+	0.801884i	0.118111	+	0.0316479i
$643$	1.65521	+	6.17734i	0.0652753	+	0.243611i	0.990853	−	0.134948i	$-0.0430866\pi$
$643$	1.65521	+	6.17734i	0.0652753	+	0.243611i	−0.925577	+	0.378558i	$0.876420\pi$
$644$	−5.84651	+	10.6929i	−0.230385	+	0.421358i
$645$	−6.60211	+	6.60211i	−0.259958	+	0.259958i
$646$	−0.184364			−0.00725372
$647$	27.5851			1.08448			0.542241	−	0.840223i	$-0.317576\pi$
$647$	27.5851			1.08448			0.542241	+	0.840223i	$0.317576\pi$
$648$	−1.23722	+	1.23722i	−0.0486025	+	0.0486025i
$649$	−21.7279	−	37.6339i	−0.852895	−	1.47726i
$650$	−0.436122	+	0.170345i	−0.0171061	+	0.00668150i
$651$	−2.27091	+	9.33801i	−0.0890040	+	0.365985i
$652$	3.36793	−	12.5693i	0.131898	−	0.492252i
$653$	−13.8072	+	23.9147i	−0.540317	+	0.935856i	0.458569	+	0.888659i	$0.348362\pi$
$653$	−13.8072	+	23.9147i	−0.540317	+	0.935856i	−0.998886	+	0.0471970i	$0.984971\pi$
$654$	3.17510	+	5.49943i	0.124156	+	0.215045i
$655$	−13.3552	+	3.57850i	−0.521829	+	0.139824i
$656$	−5.34197	+	5.34197i	−0.208569	+	0.208569i
$657$	−12.0831	+	3.23765i	−0.471406	+	0.126313i
$658$	2.45221	+	1.34079i	0.0955971	+	0.0522694i
$659$	16.0130	−	27.7353i	0.623776	−	1.08041i	−0.365000	−	0.931008i	$-0.618931\pi$
$659$	16.0130	−	27.7353i	0.623776	−	1.08041i	0.988776	−	0.149405i	$-0.0477357\pi$
$660$	19.4075	+	11.2049i	0.755437	+	0.436152i
$661$	−22.2290	−	22.2290i	−0.864608	−	0.864608i	0.127262	−	0.991869i	$-0.459381\pi$
$661$	−22.2290	−	22.2290i	−0.864608	−	0.864608i	−0.991869	+	0.127262i	$0.959381\pi$
$662$	1.57018	+	0.906545i	0.0610268	+	0.0352339i
$663$	0.177957	−	0.406075i	0.00691129	−	0.0157706i
$664$			11.7825i			0.457249i
$665$	0.433356	+	18.6434i	0.0168048	+	0.722958i
$666$	−1.56733	−	2.71469i	−0.0607326	−	0.105192i
$667$			21.4468i			0.830423i
$668$	−7.06554	−	26.3690i	−0.273374	−	1.02025i
$669$	−2.25791	+	8.42664i	−0.0872959	+	0.325793i
$670$	8.02701	+	8.02701i	0.310110	+	0.310110i
$671$	−25.1335	−	25.1335i	−0.970267	−	0.970267i
$672$	8.72648	−	9.14182i	0.336631	−	0.352654i
$673$	−10.1615	+	5.86676i	−0.391698	+	0.226147i	−0.682896	−	0.730516i	$-0.739280\pi$
$673$	−10.1615	+	5.86676i	−0.391698	+	0.226147i	0.291198	+	0.956663i	$0.405946\pi$
$674$	−1.23451	−	4.60727i	−0.0475517	−	0.177465i
$675$	0.140512	−	0.243373i	0.00540829	−	0.00936744i
$676$	5.09401	+	22.6586i	0.195923	+	0.871485i
$677$	29.0714	−	16.7844i	1.11730	−	0.645076i	0.176592	−	0.984284i	$-0.443493\pi$
$677$	29.0714	−	16.7844i	1.11730	−	0.645076i	0.940711	+	0.339209i	$0.110159\pi$
$678$	4.65705	+	1.24785i	0.178853	+	0.0479235i
$679$	−23.6552	−	5.75272i	−0.907805	−	0.220769i
$680$	0.404760	+	0.233688i	0.0155218	+	0.00896154i
$681$	−2.21516	+	8.26708i	−0.0848850	+	0.316795i
$682$	−9.36207	−	2.50856i	−0.358492	−	0.0960576i
$683$	15.5145	+	4.15709i	0.593645	+	0.159067i	0.543119	−	0.839656i	$-0.317243\pi$
$683$	15.5145	+	4.15709i	0.593645	+	0.159067i	0.0505267	+	0.998723i	$0.483910\pi$
$684$	−1.50024	+	5.59898i	−0.0573632	+	0.214082i
$685$	26.2080	+	15.1312i	1.00136	+	0.578133i
$686$	8.09202	−	2.78547i	0.308955	−	0.106350i
$687$	0.223009	+	0.0597552i	0.00850834	+	0.00227980i
$688$	10.2899	−	5.94086i	0.392298	−	0.226493i
$689$	3.57951	+	32.2414i	0.136369	+	1.22830i
$690$	1.29409	−	2.24144i	0.0492653	−	0.0853300i
$691$	−0.0750304	−	0.280017i	−0.00285429	−	0.0106524i	0.964484	−	0.264141i	$-0.0850885\pi$
$691$	−0.0750304	−	0.280017i	−0.00285429	−	0.0106524i	−0.967338	+	0.253489i	$0.918422\pi$
$692$	−20.8027	+	12.0104i	−0.790799	+	0.456568i
$693$	4.29612	+	14.6616i	0.163196	+	0.556948i
$694$	6.92154	+	6.92154i	0.262738	+	0.262738i
$695$	30.1175	+	30.1175i	1.14242	+	1.14242i
$696$	3.76682	−	14.0579i	0.142781	−	0.532865i
$697$	−0.0869739	−	0.324591i	−0.00329437	−	0.0122948i
$698$			16.6016i			0.628380i
$699$	6.12033	+	10.6007i	0.231492	+	0.400956i
$700$	−0.637226	+	1.16544i	−0.0240849	+	0.0440496i
$701$			7.44127i			0.281053i	0.990077	+	0.140526i	$0.0448795\pi$
$701$			7.44127i			0.281053i	−0.990077	+	0.140526i	$0.955120\pi$
$702$	1.30091	+	1.04091i	0.0490995	+	0.0392867i
$703$	−19.0617	−	11.0053i	−0.718926	−	0.415072i
$704$	−13.5627	−	13.5627i	−0.511163	−	0.511163i
$705$	4.30065	+	2.48298i	0.161972	+	0.0935145i
$706$	6.20361	−	10.7450i	0.233476	−	0.404392i
$707$	7.53801	−	13.7865i	0.283496	−	0.518494i
$708$	−12.9858	+	3.47954i	−0.488037	+	0.130769i
$709$	−1.95922	+	1.95922i	−0.0735800	+	0.0735800i	−0.742939	−	0.669359i	$-0.766569\pi$
$709$	−1.95922	+	1.95922i	−0.0735800	+	0.0735800i	0.669359	+	0.742939i	$0.266569\pi$
$710$	−7.47728	+	2.00353i	−0.280617	+	0.0751911i
$711$	−6.34069	−	10.9824i	−0.237795	−	0.411872i
$712$	−0.875489	+	1.51639i	−0.0328104	+	0.0568292i
$713$	2.42395	−	9.04631i	0.0907777	−	0.338787i
$714$	0.0422733	+	0.144268i	0.00158204	+	0.00539910i
$715$	18.1542	−	41.4255i	0.678928	−	1.54922i
$716$	−9.07658	−	15.7211i	−0.339208	−	0.587525i
$717$	20.1615	−	20.1615i	0.752943	−	0.752943i
$718$	−8.83183			−0.329601
$719$	−8.01741			−0.298999			−0.149500	−	0.988762i	$-0.547766\pi$
$719$	−8.01741			−0.298999			−0.149500	+	0.988762i	$0.547766\pi$
$720$	4.24634	−	4.24634i	0.158252	−	0.158252i
$721$	−9.22623	+	0.214459i	−0.343603	+	0.00798688i
$722$	1.01326	+	3.78153i	0.0377095	+	0.140734i
$723$	−29.4520	−	7.89165i	−1.09533	−	0.293493i
$724$	−20.5416	+	11.8597i	−0.763424	+	0.440763i
$725$			2.33754i			0.0868141i
$726$	−9.97384	+	2.67248i	−0.370164	+	0.0991851i
$727$	5.38975			0.199895			0.0999475	−	0.994993i	$-0.468133\pi$
$727$	5.38975			0.199895			0.0999475	+	0.994993i	$0.468133\pi$
$728$	−13.2714	−	10.1222i	−0.491869	−	0.375155i
$729$	−1.00000			−0.0370370
$730$	−12.1291	+	3.24998i	−0.448918	+	0.120287i
$731$			0.528513i			0.0195478i
$732$	−9.52303	+	5.49813i	−0.351981	+	0.203217i
$733$	0.0606329	+	0.0162465i	0.00223953	+	0.000600080i	0.259939	−	0.965625i	$-0.416298\pi$
$733$	0.0606329	+	0.0162465i	0.00223953	+	0.000600080i	−0.257699	+	0.966225i	$0.582964\pi$
$734$	0.943221	+	3.52015i	0.0348149	+	0.129931i
$735$	14.4894	−	4.61388i	0.534449	−	0.170186i
$736$	−8.70898	+	8.70898i	−0.321017	+	0.321017i
$737$	65.3037			2.40549
$738$	1.26281			0.0464845
$739$	−0.758212	+	0.758212i	−0.0278913	+	0.0278913i	−0.720915	−	0.693024i	$-0.756278\pi$
$739$	−0.758212	+	0.758212i	−0.0278913	+	0.0278913i	0.693024	+	0.720915i	$0.256278\pi$
$740$	13.1630	+	22.7989i	0.483880	+	0.838104i
$741$	11.5652	+	1.76247i	0.424860	+	0.0647458i
$742$	−7.95655	−	7.59506i	−0.292094	−	0.278823i
$743$	−4.13064	+	15.4158i	−0.151539	+	0.565550i	0.847838	+	0.530255i	$0.177904\pi$
$743$	−4.13064	+	15.4158i	−0.151539	+	0.565550i	−0.999377	+	0.0352950i	$0.988763\pi$
$744$	−3.17770	+	5.50394i	−0.116500	+	0.201784i
$745$	22.5804	+	39.1104i	0.827283	+	1.43290i
$746$	−10.2953	+	2.75861i	−0.376936	+	0.101000i
$747$	−4.76169	+	4.76169i	−0.174221	+	0.174221i
$748$	1.22530	−	0.328318i	0.0448013	−	0.0120045i
$749$	−9.22429	−	15.1525i	−0.337048	−	0.553660i
$750$	2.65056	−	4.59091i	0.0967849	−	0.167636i
$751$	20.7042	+	11.9536i	0.755507	+	0.436192i	0.827680	−	0.561200i	$-0.189660\pi$
$751$	20.7042	+	11.9536i	0.755507	+	0.436192i	−0.0721735	+	0.997392i	$0.522994\pi$
$752$	−4.46859	−	4.46859i	−0.162953	−	0.162953i
$753$	−16.8917	−	9.75242i	−0.615567	−	0.355398i
$754$	−13.7003	−	2.08783i	−0.498935	−	0.0760344i
$755$		−	13.7971i		−	0.502129i
$756$	4.72529	−	0.109837i	0.171857	−	0.00399473i
$757$	13.3174	+	23.0665i	0.484031	+	0.838365i	0.999832	−	0.0183428i	$-0.00583904\pi$
$757$	13.3174	+	23.0665i	0.484031	+	0.838365i	−0.515801	+	0.856708i	$0.672506\pi$
$758$		−	0.682281i		−	0.0247816i
$759$	−3.85355	−	14.3816i	−0.139875	−	0.522021i
$760$	−3.19190	+	11.9123i	−0.115783	+	0.432106i
$761$	−14.1875	−	14.1875i	−0.514298	−	0.514298i	0.401542	−	0.915841i	$-0.368474\pi$
$761$	−14.1875	−	14.1875i	−0.514298	−	0.514298i	−0.915841	+	0.401542i	$0.868474\pi$
$762$	3.04849	+	3.04849i	0.110435	+	0.110435i
$763$	8.59169	−	35.3291i	0.311040	−	1.27900i
$764$	4.40258	−	2.54183i	0.159280	−	0.0919602i
$765$	0.0691357	+	0.258018i	0.00249961	+	0.00932866i
$766$	−4.83620	+	8.37654i	−0.174739	+	0.302657i
$767$	9.87167	+	25.2737i	0.356445	+	0.912580i
$768$	−1.31571	+	0.759627i	−0.0474767	+	0.0274107i
$769$	34.7899	+	9.32193i	1.25456	+	0.336158i	0.824095	−	0.566451i	$-0.191684\pi$
$769$	34.7899	+	9.32193i	1.25456	+	0.336158i	0.430462	+	0.902609i	$0.358351\pi$
$770$	4.31248	+	14.7174i	0.155411	+	0.530379i
$771$	−20.8524	−	12.0391i	−0.750981	−	0.433579i
$772$	−4.24024	+	15.8248i	−0.152609	+	0.569546i
$773$	−22.0431	−	5.90644i	−0.792836	−	0.212440i	−0.160400	−	0.987052i	$-0.551278\pi$
$773$	−22.0431	−	5.90644i	−0.792836	−	0.212440i	−0.632436	+	0.774612i	$0.717945\pi$
$774$	−1.91842	−	0.514039i	−0.0689562	−	0.0184768i
$775$	0.264193	−	0.985980i	0.00949008	−	0.0354175i
$776$	−13.9427	−	8.04982i	−0.500514	−	0.288972i
$777$	−4.24112	+	17.4395i	−0.152149	+	0.625640i
$778$	15.0356	+	4.02878i	0.539052	+	0.144439i
$779$	7.67908	−	4.43352i	0.275132	−	0.158847i
$780$	−10.9255	−	8.74194i	−0.391194	−	0.313012i
$781$	−22.2658	+	38.5655i	−0.796734	+	1.37998i
$782$	−0.0379184	−	0.141513i	−0.00135596	−	0.00506051i
$783$	7.20357	−	4.15898i	0.257434	−	0.148630i
$784$	−19.3301	+	0.899125i	−0.690362	+	0.0321116i
$785$	26.5391	+	26.5391i	0.947222	+	0.947222i
$786$	−2.07966	−	2.07966i	−0.0741790	−	0.0741790i
$787$	−7.47003	+	27.8785i	−0.266278	+	0.993762i	0.695186	+	0.718830i	$0.255322\pi$
$787$	−7.47003	+	27.8785i	−0.266278	+	0.993762i	−0.961464	+	0.274932i	$0.911345\pi$
$788$	−9.07640	−	33.8736i	−0.323333	−	1.20670i
$789$		−	3.22418i		−	0.114784i
$790$	−6.36483	−	11.0242i	−0.226451	−	0.392224i
$791$	−14.3544	−	23.5795i	−0.510383	−	0.838392i
$792$			10.1037i			0.359019i
$793$	13.1496	+	17.8781i	0.466957	+	0.634868i
$794$	−3.74830	−	2.16408i	−0.133022	−	0.0768003i
$795$	−13.8201	−	13.8201i	−0.490148	−	0.490148i
$796$	−20.1175	−	11.6148i	−0.713045	−	0.411677i
$797$	20.3630	−	35.2697i	0.721294	−	1.24932i	−0.239188	−	0.970973i	$-0.576881\pi$
$797$	20.3630	−	35.2697i	0.721294	−	1.24932i	0.960481	−	0.278344i	$-0.0897856\pi$
$798$	−3.38836	+	2.06271i	−0.119947	+	0.0730192i
$799$	0.271522	−	0.0727542i	0.00960577	−	0.00257386i
$800$	−0.949214	+	0.949214i	−0.0335598	+	0.0335598i
$801$	−0.966637	+	0.259010i	−0.0341544	+	0.00915166i
$802$	5.21718	+	9.03642i	0.184225	+	0.319087i
$803$	−36.1180	+	62.5582i	−1.27458	+	2.20763i
$804$	5.22891	−	19.5146i	0.184409	−	0.688225i
$805$	−14.2210	+	4.16703i	−0.501226	+	0.146869i
$806$	5.54284	+	2.42908i	0.195238	+	0.0855607i
$807$	−6.51391	−	11.2824i	−0.229300	−	0.397160i
$808$	7.34764	−	7.34764i	0.258489	−	0.258489i
$809$	−28.2323			−0.992594			−0.496297	−	0.868153i	$-0.665307\pi$
$809$	−28.2323			−0.992594			−0.496297	+	0.868153i	$0.665307\pi$
$810$	−1.00381			−0.0352702
$811$	−11.7462	+	11.7462i	−0.412464	+	0.412464i	−0.882596	−	0.470132i	$-0.844206\pi$
$811$	−11.7462	+	11.7462i	−0.412464	+	0.412464i	0.470132	+	0.882596i	$0.344206\pi$
$812$	−33.5821	+	20.4436i	−1.17850	+	0.717430i
$813$	−4.53953	−	16.9418i	−0.159208	−	0.594173i
$814$	−17.4845	−	4.68495i	−0.612830	−	0.164207i
$815$	13.7033	−	7.91161i	0.480006	−	0.277132i
$816$		−	0.339929i		−	0.0118999i
$817$	−13.4706	+	3.60943i	−0.471275	+	0.126278i
$818$	14.2957			0.499836
$819$	−1.27266	−	9.45412i	−0.0444703	−	0.330354i
$820$	−10.6055			−0.370360
$821$	21.7738	−	5.83427i	0.759911	−	0.203617i	0.142001	−	0.989867i	$-0.454646\pi$
$821$	21.7738	−	5.83427i	0.759911	−	0.203617i	0.617910	+	0.786249i	$0.287980\pi$
$822$			6.43733i			0.224528i
$823$	24.6554	−	14.2348i	0.859435	−	0.496195i	−0.00438816	−	0.999990i	$-0.501397\pi$
$823$	24.6554	−	14.2348i	0.859435	−	0.496195i	0.863823	+	0.503795i	$0.168063\pi$
$824$	−5.89519	−	1.57961i	−0.205369	−	0.0550284i
$825$	−0.420008	−	1.56749i	−0.0146228	−	0.0545731i
$826$	−8.07248	−	4.41377i	−0.280878	−	0.153575i
$827$	−14.1293	+	14.1293i	−0.491325	+	0.491325i	−0.908724	−	0.417398i	$-0.862942\pi$
$827$	−14.1293	+	14.1293i	−0.491325	+	0.491325i	0.417398	+	0.908724i	$0.362942\pi$
$828$	−4.60619			−0.160076
$829$	5.35139			0.185861			0.0929307	−	0.995673i	$-0.470377\pi$
$829$	5.35139			0.185861			0.0929307	+	0.995673i	$0.470377\pi$
$830$	−4.77981	+	4.77981i	−0.165910	+	0.165910i
$831$	−11.1136	−	19.2494i	−0.385527	−	0.667753i
$832$	7.09590	+	9.64748i	0.246006	+	0.334466i
$833$	0.395277	−	0.764629i	0.0136956	−	0.0264928i
$834$	−2.34494	+	8.75145i	−0.0811988	+	0.303038i
$835$	16.5977	−	28.7480i	0.574386	−	0.994865i
$836$	16.7361	+	28.9878i	0.578830	+	1.00256i
$837$	−3.50854	+	0.940109i	−0.121273	+	0.0324949i
$838$	−6.78233	+	6.78233i	−0.234292	+	0.234292i
$839$	38.6612	−	10.3592i	1.33473	−	0.357641i	0.480256	−	0.877128i	$-0.340544\pi$
$839$	38.6612	−	10.3592i	1.33473	−	0.357641i	0.854478	+	0.519487i	$0.173877\pi$
$840$	10.0535	−	0.233688i	0.346878	−	0.00806302i
$841$	−20.0942	+	34.8042i	−0.692905	+	1.20015i
$842$	4.30309	+	2.48439i	0.148294	+	0.0856178i
$843$	10.8193	+	10.8193i	0.372637	+	0.372637i
$844$	19.4130	+	11.2081i	0.668223	+	0.385799i
$845$	−15.1026	+	23.8625i	−0.519544	+	0.820896i
$846$			1.05634i			0.0363179i
$847$	51.8733	+	28.3627i	1.78239	+	0.974553i
$848$	12.4359	+	21.5397i	0.427051	+	0.739675i
$849$			22.2153i			0.762429i
$850$	−0.00413282	−	0.0154239i	−0.000141755	−	0.000529036i
$851$	4.52694	−	16.8948i	0.155181	−	0.579145i
$852$	9.74161	+	9.74161i	0.333742	+	0.333742i
$853$	4.72979	+	4.72979i	0.161945	+	0.161945i	0.783428	−	0.621483i	$-0.213469\pi$
$853$	4.72979	+	4.72979i	0.161945	+	0.161945i	−0.621483	+	0.783428i	$0.713469\pi$
$854$	−7.31217	−	1.77825i	−0.250217	−	0.0608504i
$855$	−6.10412	+	3.52421i	−0.208756	+	0.120526i
$856$	−3.03631	−	11.3317i	−0.103779	−	0.387309i
$857$	−19.0542	+	33.0029i	−0.650880	+	1.12736i	0.332030	+	0.943269i	$0.392266\pi$
$857$	−19.0542	+	33.0029i	−0.650880	+	1.12736i	−0.982910	+	0.184088i	$0.941067\pi$
$858$	9.56219	−	1.06162i	0.326448	−	0.0362430i
$859$	−28.4339	+	16.4163i	−0.970153	+	0.560118i	−0.899283	−	0.437367i	$-0.855911\pi$
$859$	−28.4339	+	16.4163i	−0.970153	+	0.560118i	−0.0708704	+	0.997486i	$0.522578\pi$
$860$	16.1116	+	4.31708i	0.549400	+	0.147211i
$861$	−5.23006	−	4.99244i	−0.178240	−	0.170142i
$862$	4.87662	+	2.81552i	0.166098	+	0.0958969i
$863$	−2.67831	+	9.99560i	−0.0911708	+	0.340254i	−0.996411	−	0.0846459i	$-0.973024\pi$
$863$	−2.67831	+	9.99560i	−0.0911708	+	0.340254i	0.905240	+	0.424900i	$0.139691\pi$
$864$	4.61403	+	1.23633i	0.156973	+	0.0420607i
$865$	−28.2137	−	7.55984i	−0.959294	−	0.257042i
$866$	−4.17258	+	15.5723i	−0.141790	+	0.529167i
$867$	−14.7093	−	8.49244i	−0.499555	−	0.288418i
$868$	16.4756	−	4.82765i	0.559218	−	0.163861i
$869$	−70.7343	−	18.9532i	−2.39950	−	0.642943i
$870$	7.23099	−	4.17481i	0.245154	−	0.141539i
$871$	−40.3093	−	6.14286i	−1.36583	−	0.208143i
$872$	12.0224	−	20.8235i	0.407131	−	0.705171i
$873$	−2.38150	−	8.88790i	−0.0806017	−	0.300810i
$874$	3.34789	−	1.93290i	0.113244	−	0.0653814i
$875$	−29.1276	+	8.53492i	−0.984691	+	0.288533i
$876$	15.8021	+	15.8021i	0.533904	+	0.533904i
$877$	11.5756	+	11.5756i	0.390881	+	0.390881i	0.875001	−	0.484120i	$-0.160860\pi$
$877$	11.5756	+	11.5756i	0.390881	+	0.390881i	−0.484120	+	0.875001i	$0.660860\pi$
$878$	−2.70918	+	10.1108i	−0.0914304	+	0.341223i
$879$	2.79029	+	10.4135i	0.0941141	+	0.351239i
$880$		−	34.6776i		−	1.16898i
$881$	6.24202	+	10.8115i	0.210299	+	0.364249i	0.951808	−	0.306694i	$-0.0992229\pi$
$881$	6.24202	+	10.8115i	0.210299	+	0.364249i	−0.741509	+	0.670943i	$0.765890\pi$
$882$	2.39103	+	2.17848i	0.0805102	+	0.0733534i
$883$		−	17.3893i		−	0.585195i	−0.956236	−	0.292598i	$-0.905480\pi$
$883$		−	17.3893i		−	0.585195i	0.956236	−	0.292598i	$-0.0945196\pi$
$884$	−0.787209	+	0.0873978i	−0.0264767	+	0.00293951i
$885$	−14.1574	−	8.17378i	−0.475896	−	0.274758i
$886$	−0.580563	−	0.580563i	−0.0195044	−	0.0195044i
$887$	31.4408	+	18.1523i	1.05568	+	0.609496i	0.924233	−	0.381828i	$-0.124705\pi$
$887$	31.4408	+	18.1523i	1.05568	+	0.609496i	0.131444	+	0.991324i	$0.458039\pi$
$888$	−5.93464	+	10.2791i	−0.199153	+	0.344944i
$889$	−0.573622	−	24.6777i	−0.0192387	−	0.827665i
$890$	−0.970317	+	0.259996i	−0.0325251	+	0.00871508i
$891$	−4.08324	+	4.08324i	−0.136794	+	0.136794i
$892$	15.0540	−	4.03370i	0.504044	−	0.135058i
$893$	3.70867	+	6.42360i	0.124106	+	0.214958i
$894$	−4.80324	+	8.31946i	−0.160644	+	0.278244i
$895$	5.71315	−	21.3218i	0.190970	−	0.712708i
$896$	−28.5064	−	6.93248i	−0.952333	−	0.231598i
$897$	1.02581	+	9.23968i	0.0342508	+	0.308504i
$898$	−1.18723	−	2.05635i	−0.0396184	−	0.0686212i
$899$	21.3641	−	21.3641i	0.712532	−	0.712532i
$900$	−0.502040			−0.0167347
$901$	−1.10633			−0.0368572
$902$	5.15633	−	5.15633i	0.171687	−	0.171687i
$903$	5.91313	+	9.71333i	0.196777	+	0.323239i
$904$	−4.72496	−	17.6338i	−0.157150	−	0.586491i
$905$	−27.8597	−	7.46497i	−0.926086	−	0.248144i
$906$	2.54168	−	1.46744i	0.0844418	−	0.0487525i
$907$		−	17.3313i		−	0.575476i	−0.957709	−	0.287738i	$-0.907097\pi$
$907$		−	17.3313i		−	0.575476i	0.957709	−	0.287738i	$-0.0929033\pi$
$908$	14.7689	−	3.95732i	0.490123	−	0.131328i
$909$	5.93884			0.196979
$910$	−1.27750	−	9.49011i	−0.0423488	−	0.314594i
$911$	14.5409			0.481761			0.240880	−	0.970555i	$-0.422564\pi$
$911$	14.5409			0.481761			0.240880	+	0.970555i	$0.422564\pi$
$912$	8.66399	−	2.32151i	0.286894	−	0.0768729i
$913$			38.8862i			1.28694i
$914$	−3.82573	+	2.20878i	−0.126544	+	0.0730601i
$915$	−12.9156	−	3.46073i	−0.426978	−	0.114408i
$916$	−0.106751	−	0.398400i	−0.00352715	−	0.0131635i
$917$	0.391321	+	16.8350i	0.0129226	+	0.555940i
$918$	−0.0401785	+	0.0401785i	−0.00132609	+	0.00132609i
$919$	−6.16281			−0.203292			−0.101646	−	0.994821i	$-0.532411\pi$
$919$	−6.16281			−0.203292			−0.101646	+	0.994821i	$0.532411\pi$
$920$	−9.80010			−0.323100
$921$	−20.7789	+	20.7789i	−0.684690	+	0.684690i
$922$	−3.80182	−	6.58494i	−0.125206	−	0.216863i
$923$	17.3715	−	21.7104i	0.571789	−	0.714608i
$924$	18.8460	−	19.7429i	0.619987	−	0.649495i
$925$	0.493403	−	1.84140i	0.0162230	−	0.0605450i
$926$	−5.97206	+	10.3439i	−0.196254	+	0.339922i
$927$	−1.74407	−	3.02081i	−0.0572826	−	0.0992164i
$928$	−38.3793	+	10.2837i	−1.25986	+	0.337579i
$929$	30.3990	−	30.3990i	0.997360	−	0.997360i	−0.00263692	−	0.999997i	$-0.500839\pi$
$929$	30.3990	−	30.3990i	0.997360	−	0.997360i	0.999997	+	0.00263692i	$0.000839358\pi$
$930$	−3.52189	+	0.943688i	−0.115487	+	0.0309448i
$931$	22.1881	+	4.85274i	0.727186	+	0.159042i
$932$	10.9338	−	18.9379i	0.358149	−	0.620331i
$933$	−23.4078	−	13.5145i	−0.766336	−	0.442444i
$934$	0.579496	+	0.579496i	0.0189617	+	0.0189617i
$935$	1.33585	+	0.771251i	0.0436868	+	0.0252226i
$936$	0.950416	−	6.23660i	0.0310653	−	0.203849i
$937$		−	24.1388i		−	0.788581i	−0.918986	−	0.394290i	$-0.870990\pi$
$937$		−	24.1388i		−	0.788581i	0.918986	−	0.394290i	$-0.129010\pi$
$938$	11.8097	−	7.18933i	0.385601	−	0.234740i
$939$	3.76722	+	6.52501i	0.122938	+	0.212936i
$940$		−	8.87156i		−	0.289358i
$941$	6.25533	+	23.3452i	0.203918	+	0.761032i	0.989777	+	0.142626i	$0.0455547\pi$
$941$	6.25533	+	23.3452i	0.203918	+	0.761032i	−0.785859	+	0.618406i	$0.787779\pi$
$942$	−2.06633	+	7.71166i	−0.0673248	+	0.251259i
$943$	4.98242	+	4.98242i	0.162250	+	0.162250i
$944$	14.7102	+	14.7102i	0.478777	+	0.478777i
$945$	4.15738	+	3.96850i	0.135240	+	0.129095i
$946$	−9.93230	+	5.73442i	−0.322927	+	0.186442i
$947$	14.0770	+	52.5359i	0.457440	+	1.70719i	0.680814	+	0.732456i	$0.261626\pi$
$947$	14.0770	+	52.5359i	0.457440	+	1.70719i	−0.223374	+	0.974733i	$0.571707\pi$
$948$	−11.3275	+	19.6198i	−0.367899	+	0.637221i
$949$	28.1787	−	35.2171i	0.914720	−	1.14319i
$950$	0.364895	−	0.210672i	0.0118387	−	0.00683510i
$951$	19.0373	+	5.10103i	0.617327	+	0.165412i
$952$	0.393048	−	0.411756i	0.0127388	−	0.0133451i
$953$	24.5538	+	14.1761i	0.795375	+	0.459210i	0.841852	−	0.539709i	$-0.181466\pi$
$953$	24.5538	+	14.1761i	0.795375	+	0.459210i	−0.0464761	+	0.998919i	$0.514799\pi$
$954$	1.07603	−	4.01580i	0.0348378	−	0.130016i
$955$	5.97101	+	1.59993i	0.193217	+	0.0517724i
$956$	−49.2014	−	13.1835i	−1.59129	−	0.426384i
$957$	12.4318	−	46.3959i	0.401862	−	1.49977i
$958$	−10.9945	−	6.34765i	−0.355215	−	0.205083i
$959$	25.4496	−	26.6609i	0.821812	−	0.860926i
$960$	−6.96962	−	1.86750i	−0.224944	−	0.0602735i
$961$	15.4208	−	8.90318i	0.497444	−	0.287199i
$962$	10.3517	+	4.53652i	0.333753	+	0.146263i
$963$	3.35243	−	5.80657i	0.108030	−	0.187114i
$964$	14.0982	+	52.6153i	0.454073	+	1.69462i
$965$	−17.2525	+	9.96074i	−0.555378	+	0.320647i
$966$	−2.28017	−	2.17658i	−0.0733634	−	0.0700303i
$967$	−20.2795	−	20.2795i	−0.652145	−	0.652145i	0.301364	−	0.953509i	$-0.402558\pi$
$967$	−20.2795	−	20.2795i	−0.652145	−	0.652145i	−0.953509	+	0.301364i	$0.902558\pi$
$968$	27.6464	+	27.6464i	0.888589	+	0.888589i
$969$	−0.103263	+	0.385385i	−0.00331730	+	0.0123803i
$970$	−2.39057	−	8.92173i	−0.0767566	−	0.286460i
$971$		−	42.8728i		−	1.37586i	−0.725779	−	0.687928i	$-0.758521\pi$
$971$		−	42.8728i		−	1.37586i	0.725779	−	0.687928i	$-0.241479\pi$
$972$	0.893237	+	1.54713i	0.0286506	+	0.0496243i
$973$	44.3103	−	26.9745i	1.42052	−	0.864764i
$974$		−	5.38808i		−	0.172645i
$975$	0.111806	+	1.00706i	0.00358065	+	0.0322516i
$976$	14.7362	+	8.50793i	0.471693	+	0.272332i
$977$	−7.70798	−	7.70798i	−0.246600	−	0.246600i	0.572974	−	0.819574i	$-0.305790\pi$
$977$	−7.70798	−	7.70798i	−0.246600	−	0.246600i	−0.819574	+	0.572974i	$0.805790\pi$
$978$	2.91493	+	1.68293i	0.0932091	+	0.0538143i
$979$	−2.88941	+	5.00460i	−0.0923459	+	0.159948i
$980$	−20.0807	−	18.2957i	−0.641455	−	0.584434i
$981$	13.2741	−	3.55678i	0.423809	−	0.113559i
$982$	8.50353	−	8.50353i	0.271358	−	0.271358i
$983$	12.8783	−	3.45074i	0.410755	−	0.110061i	−0.0475235	−	0.998870i	$-0.515133\pi$
$983$	12.8783	−	3.45074i	0.410755	−	0.110061i	0.458279	+	0.888809i	$0.348466\pi$
$984$	−2.39079	−	4.14097i	−0.0762156	−	0.132009i
$985$	21.3214	−	36.9297i	0.679355	−	1.17668i
$986$	0.122327	−	0.456530i	0.00389568	−	0.0145389i
$987$	4.17621	−	4.37497i	0.132930	−	0.139257i
$988$	−7.60373	−	19.4672i	−0.241907	−	0.619336i
$989$	−5.54101	−	9.59731i	−0.176194	−	0.305177i
$990$	−4.09878	+	4.09878i	−0.130268	+	0.130268i
$991$	−52.4676			−1.66669			−0.833344	−	0.552755i	$-0.813576\pi$
$991$	−52.4676			−1.66669			−0.833344	+	0.552755i	$0.813576\pi$
$992$	17.3508			0.550888
$993$	2.77446	−	2.77446i	0.0880447	−	0.0880447i
$994$	0.219093	+	9.42557i	0.00694920	+	0.298961i
$995$	−7.31083	−	27.2844i	−0.231769	−	0.864973i
$996$	11.6203	+	3.11364i	0.368202	+	0.0986595i
$997$	11.8581	−	6.84625i	0.375548	−	0.216823i	−0.300331	−	0.953835i	$-0.597097\pi$
$997$	11.8581	−	6.84625i	0.375548	−	0.216823i	0.675880	+	0.737012i	$0.263764\pi$
$998$			3.53258i			0.111822i
$999$	−6.55250	+	1.75574i	−0.207312	+	0.0555490i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	273.2.cg.b.115.6	yes	40
3.2	odd	2		819.2.gh.d.388.5		40
7.5	odd	6		273.2.bt.b.271.5	yes	40
13.6	odd	12		273.2.bt.b.136.5	✓	40
21.5	even	6		819.2.et.d.271.6		40
39.32	even	12		819.2.et.d.136.6		40
91.19	even	12	inner	273.2.cg.b.19.6	yes	40
273.110	odd	12		819.2.gh.d.19.5		40

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
273.2.bt.b.136.5	✓	40	13.6	odd	12
273.2.bt.b.271.5	yes	40	7.5	odd	6
273.2.cg.b.19.6	yes	40	91.19	even	12	inner
273.2.cg.b.115.6	yes	40	1.1	even	1	trivial
819.2.et.d.136.6		40	39.32	even	12
819.2.et.d.271.6		40	21.5	even	6
819.2.gh.d.19.5		40	273.110	odd	12
819.2.gh.d.388.5		40	3.2	odd	2

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 273 = 3 \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	273.cg (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.446344 - 0.119598i) q^{2} -1.00000i q^{3} +(-1.54713 + 0.893237i) q^{4} +(-2.09830 - 0.562238i) q^{5} +(-0.119598 - 0.446344i) q^{6} +(-1.26927 + 2.32141i) q^{7} +(-1.23722 + 1.23722i) q^{8} -1.00000 q^{9} +O(q^{10})\)	\(q+(0.446344 - 0.119598i) q^{2} -1.00000i q^{3} +(-1.54713 + 0.893237i) q^{4} +(-2.09830 - 0.562238i) q^{5} +(-0.119598 - 0.446344i) q^{6} +(-1.26927 + 2.32141i) q^{7} +(-1.23722 + 1.23722i) q^{8} -1.00000 q^{9} -1.00381 q^{10} +(-4.08324 + 4.08324i) q^{11} +(0.893237 + 1.54713i) q^{12} +(2.90451 - 2.13632i) q^{13} +(-0.288898 + 1.18795i) q^{14} +(-0.562238 + 2.09830i) q^{15} +(1.38222 - 2.39407i) q^{16} +(0.0614826 + 0.106491i) q^{17} +(-0.446344 + 0.119598i) q^{18} +(-2.29432 + 2.29432i) q^{19} +(3.74856 - 1.00442i) q^{20} +(2.32141 + 1.26927i) q^{21} +(-1.33418 + 2.31087i) q^{22} +(-2.23293 - 1.28919i) q^{23} +(1.23722 + 1.23722i) q^{24} +(-0.243373 - 0.140512i) q^{25} +(1.04091 - 1.30091i) q^{26} +1.00000i q^{27} +(-0.109837 - 4.72529i) q^{28} +(-4.15898 - 7.20357i) q^{29} +1.00381i q^{30} +(0.940109 + 3.50854i) q^{31} +(1.23633 - 4.61403i) q^{32} +(4.08324 + 4.08324i) q^{33} +(0.0401785 + 0.0401785i) q^{34} +(3.96850 - 4.15738i) q^{35} +(1.54713 - 0.893237i) q^{36} +(1.75574 + 6.55250i) q^{37} +(-0.749661 + 1.29845i) q^{38} +(-2.13632 - 2.90451i) q^{39} +(3.29167 - 1.90044i) q^{40} +(-2.63970 - 0.707305i) q^{41} +(1.18795 + 0.288898i) q^{42} +(3.72224 + 2.14904i) q^{43} +(2.67001 - 9.96459i) q^{44} +(2.09830 + 0.562238i) q^{45} +(-1.15084 - 0.308367i) q^{46} +(0.591665 - 2.20812i) q^{47} +(-2.39407 - 1.38222i) q^{48} +(-3.77789 - 5.89301i) q^{49} +(-0.125433 - 0.0336097i) q^{50} +(0.106491 - 0.0614826i) q^{51} +(-2.58541 + 5.89957i) q^{52} +(-4.49855 + 7.79171i) q^{53} +(0.119598 + 0.446344i) q^{54} +(10.8636 - 6.27210i) q^{55} +(-1.30172 - 4.44246i) q^{56} +(2.29432 + 2.29432i) q^{57} +(-2.71787 - 2.71787i) q^{58} +(-1.94771 + 7.26896i) q^{59} +(-1.00442 - 3.74856i) q^{60} +6.15529i q^{61} +(0.839225 + 1.45358i) q^{62} +(1.26927 - 2.32141i) q^{63} +3.32156i q^{64} +(-7.29564 + 2.84961i) q^{65} +(2.31087 + 1.33418i) q^{66} +(-7.99656 - 7.99656i) q^{67} +(-0.190243 - 0.109837i) q^{68} +(-1.28919 + 2.23293i) q^{69} +(1.27411 - 2.33025i) q^{70} +(7.44892 - 1.99593i) q^{71} +(1.23722 - 1.23722i) q^{72} +(12.0831 - 3.23765i) q^{73} +(1.56733 + 2.71469i) q^{74} +(-0.140512 + 0.243373i) q^{75} +(1.50024 - 5.59898i) q^{76} +(-4.29612 - 14.6616i) q^{77} +(-1.30091 - 1.04091i) q^{78} +(6.34069 + 10.9824i) q^{79} +(-4.24634 + 4.24634i) q^{80} +1.00000 q^{81} -1.26281 q^{82} +(4.76169 - 4.76169i) q^{83} +(-4.72529 + 0.109837i) q^{84} +(-0.0691357 - 0.258018i) q^{85} +(1.91842 + 0.514039i) q^{86} +(-7.20357 + 4.15898i) q^{87} -10.1037i q^{88} +(0.966637 - 0.259010i) q^{89} +1.00381 q^{90} +(1.27266 + 9.45412i) q^{91} +4.60619 q^{92} +(3.50854 - 0.940109i) q^{93} -1.05634i q^{94} +(6.10412 - 3.52421i) q^{95} +(-4.61403 - 1.23633i) q^{96} +(2.38150 + 8.88790i) q^{97} +(-2.39103 - 2.17848i) q^{98} +(4.08324 - 4.08324i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 40 q - 8 q^{7} - 40 q^{9}+O(q^{10}) \) 40 * q - 8 * q^7 - 40 * q^9	\( 40 q - 8 q^{7} - 40 q^{9} + 4 q^{11} - 24 q^{12} - 18 q^{14} + 32 q^{16} + 4 q^{17} + 14 q^{19} + 14 q^{20} + 2 q^{21} + 4 q^{22} + 12 q^{23} + 24 q^{25} - 32 q^{26} + 16 q^{28} + 8 q^{29} + 14 q^{31} - 26 q^{32} - 4 q^{33} - 24 q^{34} + 26 q^{35} + 36 q^{37} - 8 q^{38} + 18 q^{39} - 30 q^{40} - 2 q^{41} - 66 q^{43} - 32 q^{44} - 26 q^{46} - 4 q^{47} + 24 q^{48} - 14 q^{49} - 20 q^{50} + 2 q^{52} - 8 q^{53} - 42 q^{55} + 46 q^{56} - 14 q^{57} + 24 q^{58} + 14 q^{59} + 2 q^{60} + 24 q^{62} + 8 q^{63} + 28 q^{65} - 18 q^{66} - 44 q^{67} - 18 q^{68} + 4 q^{69} - 4 q^{70} - 6 q^{71} + 14 q^{73} - 20 q^{74} + 24 q^{75} - 64 q^{76} + 24 q^{77} + 8 q^{78} + 20 q^{80} + 40 q^{81} + 48 q^{82} - 12 q^{83} + 22 q^{84} + 2 q^{85} - 60 q^{86} + 18 q^{87} - 2 q^{89} - 14 q^{91} + 236 q^{92} - 8 q^{93} + 24 q^{95} + 16 q^{96} - 62 q^{97} - 88 q^{98} - 4 q^{99}+O(q^{100}) \) 40 * q - 8 * q^7 - 40 * q^9 + 4 * q^11 - 24 * q^12 - 18 * q^14 + 32 * q^16 + 4 * q^17 + 14 * q^19 + 14 * q^20 + 2 * q^21 + 4 * q^22 + 12 * q^23 + 24 * q^25 - 32 * q^26 + 16 * q^28 + 8 * q^29 + 14 * q^31 - 26 * q^32 - 4 * q^33 - 24 * q^34 + 26 * q^35 + 36 * q^37 - 8 * q^38 + 18 * q^39 - 30 * q^40 - 2 * q^41 - 66 * q^43 - 32 * q^44 - 26 * q^46 - 4 * q^47 + 24 * q^48 - 14 * q^49 - 20 * q^50 + 2 * q^52 - 8 * q^53 - 42 * q^55 + 46 * q^56 - 14 * q^57 + 24 * q^58 + 14 * q^59 + 2 * q^60 + 24 * q^62 + 8 * q^63 + 28 * q^65 - 18 * q^66 - 44 * q^67 - 18 * q^68 + 4 * q^69 - 4 * q^70 - 6 * q^71 + 14 * q^73 - 20 * q^74 + 24 * q^75 - 64 * q^76 + 24 * q^77 + 8 * q^78 + 20 * q^80 + 40 * q^81 + 48 * q^82 - 12 * q^83 + 22 * q^84 + 2 * q^85 - 60 * q^86 + 18 * q^87 - 2 * q^89 - 14 * q^91 + 236 * q^92 - 8 * q^93 + 24 * q^95 + 16 * q^96 - 62 * q^97 - 88 * q^98 - 4 * q^99

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