LMFDB - Embedded newform 273.2.bz.b.31.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [273,2,Mod(31,273)]

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, 2, 9]))

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

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

chi := DirichletCharacter("273.31");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 273 = 3 \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	273.bz (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:	$36$
Relative dimension:	$9$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			31.5
Character	$\chi$	$=$	273.31
Dual form			273.2.bz.b.229.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.170094 - 0.0455765i) q^{2} +(0.866025 + 0.500000i) q^{3} +(-1.70520 - 0.984495i) q^{4} +(-0.0851485 + 0.317778i) q^{5} +(-0.124517 - 0.124517i) q^{6} +(2.06944 + 1.64846i) q^{7} +(0.494209 + 0.494209i) q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})$	\(q+(-0.170094 - 0.0455765i) q^{2} +(0.866025 + 0.500000i) q^{3} +(-1.70520 - 0.984495i) q^{4} +(-0.0851485 + 0.317778i) q^{5} +(-0.124517 - 0.124517i) q^{6} +(2.06944 + 1.64846i) q^{7} +(0.494209 + 0.494209i) q^{8} +(0.500000 + 0.866025i) q^{9} +(0.0289665 - 0.0501714i) q^{10} +(3.55495 - 0.952547i) q^{11} +(-0.984495 - 1.70520i) q^{12} +(1.90635 + 3.06036i) q^{13} +(-0.276868 - 0.374711i) q^{14} +(-0.232630 + 0.232630i) q^{15} +(1.90745 + 3.30381i) q^{16} +(2.19114 - 3.79517i) q^{17} +(-0.0455765 - 0.170094i) q^{18} +(0.839413 - 3.13273i) q^{19} +(0.458046 - 0.458046i) q^{20} +(0.967960 + 2.46233i) q^{21} -0.648090 q^{22} +(-2.57268 + 1.48534i) q^{23} +(0.180893 + 0.675101i) q^{24} +(4.23639 + 2.44588i) q^{25} +(-0.184779 - 0.607434i) q^{26} +1.00000i q^{27} +(-1.90590 - 4.84830i) q^{28} -9.47339 q^{29} +(0.0501714 - 0.0289665i) q^{30} +(-2.01760 + 0.540613i) q^{31} +(-0.535656 - 1.99910i) q^{32} +(3.55495 + 0.952547i) q^{33} +(-0.545671 + 0.545671i) q^{34} +(-0.700054 + 0.517260i) q^{35} -1.96899i q^{36} +(-0.614527 + 2.29345i) q^{37} +(-0.285558 + 0.494601i) q^{38} +(0.120771 + 3.60353i) q^{39} +(-0.199130 + 0.114968i) q^{40} +(-1.39675 - 1.39675i) q^{41} +(-0.0524198 - 0.462943i) q^{42} -0.148119i q^{43} +(-6.99967 - 1.87556i) q^{44} +(-0.317778 + 0.0851485i) q^{45} +(0.505294 - 0.135393i) q^{46} +(-4.83788 - 1.29630i) q^{47} +3.81491i q^{48} +(1.56517 + 6.82277i) q^{49} +(-0.609110 - 0.609110i) q^{50} +(3.79517 - 2.19114i) q^{51} +(-0.237796 - 7.09531i) q^{52} +(5.51514 - 9.55250i) q^{53} +(0.0455765 - 0.170094i) q^{54} +1.21080i q^{55} +(0.208054 + 1.83742i) q^{56} +(2.29332 - 2.29332i) q^{57} +(1.61137 + 0.431764i) q^{58} +(-2.60418 - 9.71895i) q^{59} +(0.625703 - 0.167657i) q^{60} +(-3.35693 + 1.93813i) q^{61} +0.367820 q^{62} +(-0.392886 + 2.61642i) q^{63} -7.26537i q^{64} +(-1.13484 + 0.345213i) q^{65} +(-0.561263 - 0.324045i) q^{66} +(1.60585 + 5.99311i) q^{67} +(-7.47265 + 4.31434i) q^{68} -2.97067 q^{69} +(0.142650 - 0.0560768i) q^{70} +(-5.84852 + 5.84852i) q^{71} +(-0.180893 + 0.675101i) q^{72} +(-1.31494 - 4.90744i) q^{73} +(0.209055 - 0.362093i) q^{74} +(2.44588 + 4.23639i) q^{75} +(-4.51552 + 4.51552i) q^{76} +(8.92700 + 3.88895i) q^{77} +(0.143694 - 0.618443i) q^{78} +(-1.57905 - 2.73499i) q^{79} +(-1.21230 + 0.324833i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(0.173919 + 0.301237i) q^{82} +(-4.02033 - 4.02033i) q^{83} +(0.773589 - 5.15170i) q^{84} +(1.01945 + 1.01945i) q^{85} +(-0.00675074 + 0.0251941i) q^{86} +(-8.20420 - 4.73670i) q^{87} +(2.22765 + 1.28613i) q^{88} +(-10.9181 - 2.92550i) q^{89} +0.0579330 q^{90} +(-1.09979 + 9.47578i) q^{91} +5.84923 q^{92} +(-2.01760 - 0.540613i) q^{93} +(0.763812 + 0.440987i) q^{94} +(0.924040 + 0.533495i) q^{95} +(0.535656 - 1.99910i) q^{96} +(-11.4863 - 11.4863i) q^{97} +(0.0447319 - 1.23185i) q^{98} +(2.60241 + 2.60241i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 36 q + 4 q^{7} + 18 q^{9}+O(q^{10}) $ 36 * q + 4 * q^7 + 18 * q^9	$ 36 q + 4 q^{7} + 18 q^{9} + 4 q^{11} + 16 q^{12} - 36 q^{14} + 12 q^{16} - 4 q^{17} - 12 q^{19} - 44 q^{20} + 6 q^{21} - 8 q^{22} + 12 q^{23} - 18 q^{24} + 48 q^{25} - 28 q^{26} + 12 q^{28} - 16 q^{29} - 56 q^{32} + 4 q^{33} + 48 q^{34} + 8 q^{35} + 22 q^{37} - 16 q^{38} - 8 q^{39} + 60 q^{40} + 32 q^{41} + 12 q^{42} + 4 q^{44} - 44 q^{46} - 14 q^{47} - 6 q^{49} - 68 q^{50} + 12 q^{51} - 82 q^{52} - 8 q^{53} + 8 q^{56} - 6 q^{57} - 84 q^{58} + 70 q^{59} + 2 q^{60} + 36 q^{61} - 48 q^{62} + 2 q^{63} - 8 q^{65} + 38 q^{67} + 36 q^{68} + 8 q^{69} - 40 q^{70} - 36 q^{71} + 18 q^{72} - 46 q^{73} + 40 q^{74} - 10 q^{75} + 60 q^{76} - 60 q^{77} + 32 q^{78} - 38 q^{80} - 18 q^{81} - 24 q^{83} + 38 q^{84} + 44 q^{85} - 24 q^{86} + 36 q^{87} - 168 q^{88} + 38 q^{89} - 14 q^{91} - 40 q^{92} + 56 q^{96} - 36 q^{97} + 58 q^{98} + 8 q^{99}+O(q^{100}) $ 36 * q + 4 * q^7 + 18 * q^9 + 4 * q^11 + 16 * q^12 - 36 * q^14 + 12 * q^16 - 4 * q^17 - 12 * q^19 - 44 * q^20 + 6 * q^21 - 8 * q^22 + 12 * q^23 - 18 * q^24 + 48 * q^25 - 28 * q^26 + 12 * q^28 - 16 * q^29 - 56 * q^32 + 4 * q^33 + 48 * q^34 + 8 * q^35 + 22 * q^37 - 16 * q^38 - 8 * q^39 + 60 * q^40 + 32 * q^41 + 12 * q^42 + 4 * q^44 - 44 * q^46 - 14 * q^47 - 6 * q^49 - 68 * q^50 + 12 * q^51 - 82 * q^52 - 8 * q^53 + 8 * q^56 - 6 * q^57 - 84 * q^58 + 70 * q^59 + 2 * q^60 + 36 * q^61 - 48 * q^62 + 2 * q^63 - 8 * q^65 + 38 * q^67 + 36 * q^68 + 8 * q^69 - 40 * q^70 - 36 * q^71 + 18 * q^72 - 46 * q^73 + 40 * q^74 - 10 * q^75 + 60 * q^76 - 60 * q^77 + 32 * q^78 - 38 * q^80 - 18 * q^81 - 24 * q^83 + 38 * q^84 + 44 * q^85 - 24 * q^86 + 36 * q^87 - 168 * q^88 + 38 * q^89 - 14 * q^91 - 40 * q^92 + 56 * q^96 - 36 * q^97 + 58 * q^98 + 8 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$92$	$106$	$157$
$\chi(n)$	$1$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{1}{6}\right)$

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 $

$2$	−0.170094	−	0.0455765i	−0.120275	−	0.0322275i	0.198180	−	0.980166i	$-0.436497\pi$
$2$	−0.170094	−	0.0455765i	−0.120275	−	0.0322275i	−0.318454	+	0.947938i	$0.603164\pi$
$3$	0.866025	+	0.500000i	0.500000	+	0.288675i
$3$	0.866025	+	0.500000i	0.500000	+	0.288675i
$4$	−1.70520	−	0.984495i	−0.852598	−	0.492248i
$5$	−0.0851485	+	0.317778i	−0.0380796	+	0.142115i	−0.982348	−	0.187060i	$-0.940104\pi$
$5$	−0.0851485	+	0.317778i	−0.0380796	+	0.142115i	0.944269	+	0.329175i	$0.106771\pi$
$6$	−0.124517	−	0.124517i	−0.0508340	−	0.0508340i
$7$	2.06944	+	1.64846i	0.782175	+	0.623059i
$7$	2.06944	+	1.64846i	0.782175	+	0.623059i
$8$	0.494209	+	0.494209i	0.174729	+	0.174729i
$9$	0.500000	+	0.866025i	0.166667	+	0.288675i
$10$	0.0289665	−	0.0501714i	0.00916001	−	0.0158656i
$11$	3.55495	−	0.952547i	1.07186	−	0.287204i	0.320602	−	0.947214i	$-0.396115\pi$
$11$	3.55495	−	0.952547i	1.07186	−	0.287204i	0.751257	+	0.660010i	$0.229448\pi$
$12$	−0.984495	−	1.70520i	−0.284199	−	0.492248i
$13$	1.90635	+	3.06036i	0.528728	+	0.848792i
$13$	1.90635	+	3.06036i	0.528728	+	0.848792i
$14$	−0.276868	−	0.374711i	−0.0739962	−	0.100146i
$15$	−0.232630	+	0.232630i	−0.0600648	+	0.0600648i
$16$	1.90745	+	3.30381i	0.476863	+	0.825951i
$17$	2.19114	−	3.79517i	0.531430	−	0.920464i	−0.467897	−	0.883783i	$-0.654988\pi$
$17$	2.19114	−	3.79517i	0.531430	−	0.920464i	0.999327	−	0.0366807i	$-0.0116785\pi$
$18$	−0.0455765	−	0.170094i	−0.0107425	−	0.0400915i
$19$	0.839413	−	3.13273i	0.192575	−	0.718698i	−0.800307	−	0.599591i	$-0.795330\pi$
$19$	0.839413	−	3.13273i	0.192575	−	0.718698i	0.992881	−	0.119107i	$-0.0380032\pi$
$20$	0.458046	−	0.458046i	0.102422	−	0.102422i
$21$	0.967960	+	2.46233i	0.211226	+	0.537324i
$22$	−0.648090			−0.138173
$23$	−2.57268	+	1.48534i	−0.536441	+	0.309714i	−0.743635	−	0.668586i	$-0.766900\pi$
$23$	−2.57268	+	1.48534i	−0.536441	+	0.309714i	0.207195	+	0.978300i	$0.433567\pi$
$24$	0.180893	+	0.675101i	0.0369246	+	0.137805i
$25$	4.23639	+	2.44588i	0.847279	+	0.489177i
$26$	−0.184779	−	0.607434i	−0.0362381	−	0.119128i
$27$			1.00000i			0.192450i
$28$	−1.90590	−	4.84830i	−0.360182	−	0.916242i
$29$	−9.47339			−1.75916			−0.879582	−	0.475747i	$-0.842178\pi$
$29$	−9.47339			−1.75916			−0.879582	+	0.475747i	$0.842178\pi$
$30$	0.0501714	−	0.0289665i	0.00916001	−	0.00528853i
$31$	−2.01760	+	0.540613i	−0.362371	+	0.0970970i	−0.435410	−	0.900232i	$-0.643397\pi$
$31$	−2.01760	+	0.540613i	−0.362371	+	0.0970970i	0.0730395	+	0.997329i	$0.476730\pi$
$32$	−0.535656	−	1.99910i	−0.0946915	−	0.353393i
$33$	3.55495	+	0.952547i	0.618838	+	0.165817i
$34$	−0.545671	+	0.545671i	−0.0935818	+	0.0935818i
$35$	−0.700054	+	0.517260i	−0.118331	+	0.0874329i
$36$		−	1.96899i		−	0.328165i
$37$	−0.614527	+	2.29345i	−0.101028	+	0.377040i	−0.997864	−	0.0653216i	$-0.979193\pi$
$37$	−0.614527	+	2.29345i	−0.101028	+	0.377040i	0.896837	+	0.442362i	$0.145859\pi$
$38$	−0.285558	+	0.494601i	−0.0463237	+	0.0802349i
$39$	0.120771	+	3.60353i	0.0193388	+	0.577026i
$40$	−0.199130	+	0.114968i	−0.0314852	+	0.0181780i
$41$	−1.39675	−	1.39675i	−0.218135	−	0.218135i	0.589577	−	0.807712i	$-0.299294\pi$
$41$	−1.39675	−	1.39675i	−0.218135	−	0.218135i	−0.807712	+	0.589577i	$0.799294\pi$
$42$	−0.0524198	−	0.462943i	−0.00808854	−	0.0714337i
$43$		−	0.148119i		−	0.0225879i	−0.999936	−	0.0112939i	$-0.996405\pi$
$43$		−	0.148119i		−	0.0225879i	0.999936	−	0.0112939i	$-0.00359505\pi$
$44$	−6.99967	−	1.87556i	−1.05524	−	0.282751i
$45$	−0.317778	+	0.0851485i	−0.0473716	+	0.0126932i
$46$	0.505294	−	0.135393i	0.0745015	−	0.0199626i
$47$	−4.83788	−	1.29630i	−0.705677	−	0.189085i	−0.111905	−	0.993719i	$-0.535695\pi$
$47$	−4.83788	−	1.29630i	−0.705677	−	0.189085i	−0.593772	+	0.804633i	$0.702362\pi$
$48$			3.81491i			0.550634i
$49$	1.56517	+	6.82277i	0.223596	+	0.974682i
$50$	−0.609110	−	0.609110i	−0.0861412	−	0.0861412i
$51$	3.79517	−	2.19114i	0.531430	−	0.306821i
$52$	−0.237796	−	7.09531i	−0.0329764	−	0.983943i
$53$	5.51514	−	9.55250i	0.757563	−	1.31214i	−0.186527	−	0.982450i	$-0.559723\pi$
$53$	5.51514	−	9.55250i	0.757563	−	1.31214i	0.944090	−	0.329687i	$-0.106943\pi$
$54$	0.0455765	−	0.170094i	0.00620218	−	0.0231469i
$55$			1.21080i			0.163264i
$56$	0.208054	+	1.83742i	0.0278023	+	0.245535i
$57$	2.29332	−	2.29332i	0.303757	−	0.303757i
$58$	1.61137	+	0.431764i	0.211583	+	0.0566934i
$59$	−2.60418	−	9.71895i	−0.339036	−	1.26530i	−0.899427	−	0.437071i	$-0.856016\pi$
$59$	−2.60418	−	9.71895i	−0.339036	−	1.26530i	0.560391	−	0.828228i	$-0.310651\pi$
$60$	0.625703	−	0.167657i	0.0807779	−	0.0216444i
$61$	−3.35693	+	1.93813i	−0.429811	+	0.248152i	−0.699266	−	0.714861i	$-0.746490\pi$
$61$	−3.35693	+	1.93813i	−0.429811	+	0.248152i	0.269455	+	0.963013i	$0.413156\pi$
$62$	0.367820			0.0467132
$63$	−0.392886	+	2.61642i	−0.0494990	+	0.329638i
$64$		−	7.26537i		−	0.908171i
$65$	−1.13484	+	0.345213i	−0.140760	+	0.0428184i
$66$	−0.561263	−	0.324045i	−0.0690866	−	0.0398872i
$67$	1.60585	+	5.99311i	0.196186	+	0.732175i	0.991957	+	0.126577i	$0.0403992\pi$
$67$	1.60585	+	5.99311i	0.196186	+	0.732175i	−0.795771	+	0.605598i	$0.792934\pi$
$68$	−7.47265	+	4.31434i	−0.906192	+	0.523190i
$69$	−2.97067			−0.357627
$70$	0.142650	−	0.0560768i	0.0170499	−	0.00670246i
$71$	−5.84852	+	5.84852i	−0.694092	+	0.694092i	−0.963130	−	0.269038i	$-0.913294\pi$
$71$	−5.84852	+	5.84852i	−0.694092	+	0.694092i	0.269038	+	0.963130i	$0.413294\pi$
$72$	−0.180893	+	0.675101i	−0.0213184	+	0.0795615i
$73$	−1.31494	−	4.90744i	−0.153903	−	0.574372i	−0.999197	−	0.0400712i	$-0.987242\pi$
$73$	−1.31494	−	4.90744i	−0.153903	−	0.574372i	0.845294	−	0.534301i	$-0.179425\pi$
$74$	0.209055	−	0.362093i	0.0243021	−	0.0420925i
$75$	2.44588	+	4.23639i	0.282426	+	0.489177i
$76$	−4.51552	+	4.51552i	−0.517966	+	0.517966i
$77$	8.92700	+	3.88895i	1.01733	+	0.443187i
$78$	0.143694	−	0.618443i	0.0162701	−	0.0700249i
$79$	−1.57905	−	2.73499i	−0.177657	−	0.307711i	0.763421	−	0.645902i	$-0.223518\pi$
$79$	−1.57905	−	2.73499i	−0.177657	−	0.307711i	−0.941078	+	0.338191i	$0.890185\pi$
$80$	−1.21230	+	0.324833i	−0.135539	+	0.0363175i
$81$	−0.500000	+	0.866025i	−0.0555556	+	0.0962250i
$82$	0.173919	+	0.301237i	0.0192062	+	0.0332661i
$83$	−4.02033	−	4.02033i	−0.441289	−	0.441289i	0.451156	−	0.892445i	$-0.351012\pi$
$83$	−4.02033	−	4.02033i	−0.441289	−	0.441289i	−0.892445	+	0.451156i	$0.851012\pi$
$84$	0.773589	−	5.15170i	0.0844054	−	0.562097i
$85$	1.01945	+	1.01945i	0.110575	+	0.110575i
$86$	−0.00675074	+	0.0251941i	−0.000727951	+	0.00271675i
$87$	−8.20420	−	4.73670i	−0.879582	−	0.507827i
$88$	2.22765	+	1.28613i	0.237468	+	0.137102i
$89$	−10.9181	−	2.92550i	−1.15732	−	0.310102i	−0.371423	−	0.928464i	$-0.621130\pi$
$89$	−10.9181	−	2.92550i	−1.15732	−	0.310102i	−0.785894	+	0.618361i	$0.787797\pi$
$90$	0.0579330			0.00610667
$91$	−1.09979	+	9.47578i	−0.115289	+	0.993332i
$92$	5.84923			0.609824
$93$	−2.01760	−	0.540613i	−0.209215	−	0.0560590i
$94$	0.763812	+	0.440987i	0.0787812	+	0.0454844i
$95$	0.924040	+	0.533495i	0.0948045	+	0.0547354i
$96$	0.535656	−	1.99910i	0.0546702	−	0.204032i
$97$	−11.4863	−	11.4863i	−1.16626	−	1.16626i	−0.983080	−	0.183176i	$-0.941362\pi$
$97$	−11.4863	−	11.4863i	−1.16626	−	1.16626i	−0.183176	−	0.983080i	$-0.558638\pi$
$98$	0.0447319	−	1.23185i	0.00451860	−	0.124435i
$99$	2.60241	+	2.60241i	0.261552	+	0.261552i
$100$	−4.81592	−	8.34142i	−0.481592	−	0.834142i
$101$	0.473180	−	0.819572i	0.0470832	−	0.0815505i	−0.841523	−	0.540221i	$-0.818341\pi$
$101$	0.473180	−	0.819572i	0.0470832	−	0.0815505i	0.888607	+	0.458670i	$0.151674\pi$
$102$	−0.745400	+	0.199729i	−0.0738056	+	0.0197762i
$103$	3.41272	+	5.91100i	0.336265	+	0.582428i	0.983727	−	0.179670i	$-0.0575029\pi$
$103$	3.41272	+	5.91100i	0.336265	+	0.582428i	−0.647462	+	0.762098i	$0.724170\pi$
$104$	−0.570320	+	2.45459i	−0.0559245	+	0.240693i
$105$	−0.864895	+	0.0979333i	−0.0844051	+	0.00955731i
$106$	−1.37346	+	1.37346i	−0.133402	+	0.133402i
$107$	9.71010	+	16.8184i	0.938711	+	1.62590i	0.767879	+	0.640595i	$0.221312\pi$
$107$	9.71010	+	16.8184i	0.938711	+	1.62590i	0.170832	+	0.985300i	$0.445354\pi$
$108$	0.984495	−	1.70520i	0.0947331	−	0.164083i
$109$	−2.89480	−	10.8035i	−0.277271	−	1.03479i	−0.954304	−	0.298837i	$-0.903401\pi$
$109$	−2.89480	−	10.8035i	−0.277271	−	1.03479i	0.677033	−	0.735953i	$-0.263266\pi$
$110$	0.0551839	−	0.205949i	0.00526158	−	0.0196365i
$111$	−1.67892	+	1.67892i	−0.159356	+	0.159356i
$112$	−1.49882	+	9.98139i	−0.141625	+	0.943153i
$113$	19.6006			1.84387			0.921937	−	0.387341i	$-0.126606\pi$
$113$	19.6006			1.84387			0.921937	+	0.387341i	$0.126606\pi$
$114$	−0.494601	+	0.285558i	−0.0463237	+	0.0267450i
$115$	−0.252948	−	0.944016i	−0.0235876	−	0.0880300i
$116$	16.1540	+	9.32651i	1.49986	+	0.865945i
$117$	−1.69717	+	3.18113i	−0.156904	+	0.294096i
$118$			1.77182i			0.163110i
$119$	10.7906	−	4.24187i	0.989174	−	0.388852i
$120$	−0.229935			−0.0209901
$121$	2.20408	−	1.27252i	0.200371	−	0.115684i
$122$	0.659327	−	0.176666i	0.0596927	−	0.0159946i
$123$	−0.511245	−	1.90799i	−0.0460974	−	0.172038i
$124$	3.97263	+	1.06446i	0.356753	+	0.0955916i
$125$	−2.30112	+	2.30112i	−0.205819	+	0.205819i
$126$	0.186075	−	0.427130i	0.0165769	−	0.0380518i
$127$		−	9.00193i		−	0.798792i	−0.916778	−	0.399396i	$-0.869220\pi$
$127$		−	9.00193i		−	0.798792i	0.916778	−	0.399396i	$-0.130780\pi$
$128$	−1.40244	+	5.23399i	−0.123960	+	0.462623i
$129$	0.0740594	−	0.128275i	0.00652056	−	0.0112939i
$130$	0.208763	−	0.00699660i	0.0183097	−	0.000613642i
$131$	2.78742	−	1.60932i	0.243538	−	0.140607i	−0.373264	−	0.927725i	$-0.621761\pi$
$131$	2.78742	−	1.60932i	0.243538	−	0.140607i	0.616802	+	0.787119i	$0.288428\pi$
$132$	−5.12412	−	5.12412i	−0.445997	−	0.445997i
$133$	6.90129	−	5.09927i	0.598418	−	0.442163i
$134$		−	1.09258i		−	0.0943846i
$135$	−0.317778	−	0.0851485i	−0.0273500	−	0.00732841i
$136$	2.95849	−	0.792724i	0.253688	−	0.0679755i
$137$	13.9593	−	3.74037i	1.19262	−	0.319562i	0.392699	−	0.919667i	$-0.371541\pi$
$137$	13.9593	−	3.74037i	1.19262	−	0.319562i	0.799921	+	0.600106i	$0.204875\pi$
$138$	0.505294	+	0.135393i	0.0430135	+	0.0115254i
$139$			17.5288i			1.48677i	0.668864	+	0.743385i	$0.266781\pi$
$139$			17.5288i			1.48677i	−0.668864	+	0.743385i	$0.733219\pi$
$140$	1.70297	−	0.192830i	0.143927	−	0.0162971i
$141$	−3.54157	−	3.54157i	−0.298254	−	0.298254i
$142$	1.26135	−	0.728243i	0.105850	−	0.0611128i
$143$	9.69214	+	9.06355i	0.810498	+	0.757932i
$144$	−1.90745	+	3.30381i	−0.158954	+	0.275317i
$145$	0.806645	−	3.01044i	0.0669882	−	0.250003i
$146$			0.894657i			0.0740423i
$147$	−2.05591	+	6.69128i	−0.169568	+	0.551888i
$148$	3.30578	−	3.30578i	0.271733	−	0.271733i
$149$	−1.76057	−	0.471745i	−0.144232	−	0.0386468i	0.185981	−	0.982553i	$-0.440454\pi$
$149$	−1.76057	−	0.471745i	−0.144232	−	0.0386468i	−0.330213	+	0.943907i	$0.607120\pi$
$150$	−0.222950	−	0.832060i	−0.0182038	−	0.0679374i
$151$	19.1268	−	5.12502i	1.55652	−	0.417068i	0.624960	−	0.780657i	$-0.285115\pi$
$151$	19.1268	−	5.12502i	1.55652	−	0.417068i	0.931560	+	0.363588i	$0.118449\pi$
$152$	1.96307	−	1.13338i	0.159226	−	0.0919291i
$153$	4.38228			0.354287
$154$	−1.34118	−	1.06835i	−0.108076	−	0.0860900i
$155$		−	0.687181i		−	0.0551957i
$156$	3.34172	−	6.26362i	0.267552	−	0.501491i
$157$	−7.77460	−	4.48867i	−0.620481	−	0.358235i	0.156575	−	0.987666i	$-0.449955\pi$
$157$	−7.77460	−	4.48867i	−0.620481	−	0.358235i	−0.777056	+	0.629431i	$0.783288\pi$
$158$	0.143935	+	0.537174i	0.0114509	+	0.0427352i
$159$	9.55250	−	5.51514i	0.757563	−	0.437379i
$160$	0.680880			0.0538283
$161$	−7.77252	−	1.16714i	−0.612561	−	0.0919832i
$162$	0.124517	−	0.124517i	0.00978301	−	0.00978301i
$163$	1.29969	−	4.85052i	0.101800	−	0.379922i	−0.896163	−	0.443726i	$-0.853656\pi$
$163$	1.29969	−	4.85052i	0.101800	−	0.379922i	0.997962	+	0.0638035i	$0.0203231\pi$
$164$	1.00664	+	3.75682i	0.0786051	+	0.293358i
$165$	−0.605398	+	1.04858i	−0.0471302	+	0.0816318i
$166$	0.500601	+	0.867067i	0.0388542	+	0.0672974i
$167$	−16.0482	+	16.0482i	−1.24184	+	1.24184i	−0.282609	+	0.959235i	$0.591200\pi$
$167$	−16.0482	+	16.0482i	−1.24184	+	1.24184i	−0.959235	+	0.282609i	$0.908800\pi$
$168$	−0.738529	+	1.69528i	−0.0569788	+	0.130793i
$169$	−5.73163	+	11.6683i	−0.440894	+	0.897559i
$170$	−0.126939	−	0.219865i	−0.00973581	−	0.0168629i
$171$	3.13273	−	0.839413i	0.239566	−	0.0641915i
$172$	−0.145822	+	0.252571i	−0.0111188	+	0.0192584i
$173$	−8.72113	−	15.1054i	−0.663055	−	1.14845i	−0.979809	−	0.199937i	$-0.935926\pi$
$173$	−8.72113	−	15.1054i	−0.663055	−	1.14845i	0.316753	−	0.948508i	$-0.397407\pi$
$174$	1.17960	+	1.17960i	0.0894254	+	0.0894254i
$175$	4.73503	+	12.0451i	0.357935	+	0.910526i
$176$	9.92794	+	9.92794i	0.748347	+	0.748347i
$177$	2.60418	−	9.71895i	0.195742	−	0.730521i
$178$	1.72377	+	0.995219i	0.129202	+	0.0745949i
$179$	−14.0112	−	8.08937i	−1.04725	−	0.604628i	−0.125369	−	0.992110i	$-0.540012\pi$
$179$	−14.0112	−	8.08937i	−1.04725	−	0.604628i	−0.921877	+	0.387482i	$0.873345\pi$
$180$	0.625703	+	0.167657i	0.0466371	+	0.0124964i
$181$	16.7326			1.24373			0.621863	−	0.783126i	$-0.286376\pi$
$181$	16.7326			1.24373			0.621863	+	0.783126i	$0.286376\pi$
$182$	0.618941	−	1.56165i	0.0458790	−	0.115757i
$183$	−3.87625			−0.286541
$184$	−2.00551	−	0.537374i	−0.147848	−	0.0396157i
$185$	−0.676482	−	0.390567i	−0.0497359	−	0.0287151i
$186$	0.318542	+	0.183910i	0.0233566	+	0.0134849i
$187$	4.17433	−	15.5788i	0.305257	−	1.13924i
$188$	6.97332	+	6.97332i	0.508582	+	0.508582i
$189$	−1.64846	+	2.06944i	−0.119908	+	0.150530i
$190$	−0.132859	−	0.132859i	−0.00963859	−	0.00963859i
$191$	8.68201	+	15.0377i	0.628208	+	1.08809i	0.987911	+	0.155021i	$0.0495446\pi$
$191$	8.68201	+	15.0377i	0.628208	+	1.08809i	−0.359703	+	0.933067i	$0.617122\pi$
$192$	3.63268	−	6.29199i	0.262166	−	0.454085i
$193$	−23.5811	+	6.31855i	−1.69741	+	0.454819i	−0.972285	−	0.233800i	$-0.924884\pi$
$193$	−23.5811	+	6.31855i	−1.69741	+	0.454819i	−0.725123	+	0.688619i	$0.758217\pi$
$194$	1.43024	+	2.47725i	0.102686	+	0.177857i
$195$	−1.15541	−	0.268457i	−0.0827404	−	0.0192246i
$196$	4.04806	−	13.1751i	0.289147	−	0.941077i
$197$	−1.80183	+	1.80183i	−0.128375	+	0.128375i	−0.768375	−	0.640000i	$-0.778934\pi$
$197$	−1.80183	+	1.80183i	−0.128375	+	0.128375i	0.640000	+	0.768375i	$0.278934\pi$
$198$	−0.324045	−	0.561263i	−0.0230289	−	0.0398872i
$199$	−6.35275	+	11.0033i	−0.450334	+	0.780002i	−0.998407	−	0.0564291i	$-0.982028\pi$
$199$	−6.35275	+	11.0033i	−0.450334	+	0.780002i	0.548072	+	0.836431i	$0.315362\pi$
$200$	0.884886	+	3.30244i	0.0625709	+	0.233518i
$201$	−1.60585	+	5.99311i	−0.113268	+	0.422721i
$202$	−0.117838	+	0.117838i	−0.00829108	+	0.00829108i
$203$	−19.6046	−	15.6165i	−1.37597	−	1.09606i
$204$	−8.62868			−0.604128
$205$	0.562787	−	0.324925i	0.0393067	−	0.0226938i
$206$	−0.311080	−	1.16097i	−0.0216739	−	0.0808883i
$207$	−2.57268	−	1.48534i	−0.178814	−	0.103238i
$208$	−6.47456	+	12.1357i	−0.448930	+	0.841461i
$209$		−	11.9363i		−	0.825651i
$210$	0.151577	+	0.0227610i	0.0104598	+	0.00157066i
$211$	−6.71967			−0.462601			−0.231301	−	0.972882i	$-0.574298\pi$
$211$	−6.71967			−0.462601			−0.231301	+	0.972882i	$0.574298\pi$
$212$	−18.8088	+	10.8593i	−1.29179	+	0.745817i
$213$	−7.98923	+	2.14071i	−0.547413	+	0.146679i
$214$	−0.885106	−	3.30326i	−0.0605046	−	0.225806i
$215$	0.0470689	+	0.0126121i	0.00321008	+	0.000860137i
$216$	−0.494209	+	0.494209i	−0.0336266	+	0.0336266i
$217$	−5.06648	−	2.20716i	−0.343935	−	0.149831i
$218$			1.96955i			0.133395i
$219$	1.31494	−	4.90744i	0.0888557	−	0.331614i
$220$	1.19202	−	2.06464i	0.0803662	−	0.139198i
$221$	15.7917	−	0.529251i	1.06226	−	0.0356013i
$222$	0.362093	−	0.209055i	0.0243021	−	0.0140308i
$223$	−16.8186	−	16.8186i	−1.12625	−	1.12625i	−0.990781	−	0.135473i	$-0.956745\pi$
$223$	−16.8186	−	16.8186i	−1.12625	−	1.12625i	−0.135473	−	0.990781i	$-0.543255\pi$
$224$	2.18692	−	5.02002i	0.146119	−	0.335414i
$225$			4.89177i			0.326118i
$226$	−3.33395	−	0.893330i	−0.221771	−	0.0594234i
$227$	9.52129	−	2.55122i	0.631950	−	0.169331i	0.0713958	−	0.997448i	$-0.477255\pi$
$227$	9.52129	−	2.55122i	0.631950	−	0.169331i	0.560555	+	0.828117i	$0.310588\pi$
$228$	−6.16832	+	1.65280i	−0.408507	+	0.109459i
$229$	−0.550101	−	0.147399i	−0.0363517	−	0.00974042i	0.240597	−	0.970625i	$-0.422657\pi$
$229$	−0.550101	−	0.147399i	−0.0363517	−	0.00974042i	−0.276949	+	0.960885i	$0.589323\pi$
$230$			0.172100i			0.0113479i
$231$	5.78654	+	7.83143i	0.380726	+	0.515270i
$232$	−4.68183	−	4.68183i	−0.307377	−	0.307377i
$233$	−2.85789	+	1.65000i	−0.187227	+	0.108095i	−0.590684	−	0.806903i	$-0.701142\pi$
$233$	−2.85789	+	1.65000i	−0.187227	+	0.108095i	0.403457	+	0.914999i	$0.367809\pi$
$234$	0.433664	−	0.463740i	0.0283495	−	0.0303156i
$235$	0.823875	−	1.42699i	0.0537437	−	0.0930868i
$236$	−5.12761	+	19.1365i	−0.333779	+	1.24568i
$237$		−	3.15810i		−	0.205141i
$238$	−2.02875	+	0.229718i	−0.131504	+	0.0148904i
$239$	−1.47026	+	1.47026i	−0.0951030	+	0.0951030i	−0.753058	−	0.657955i	$-0.771422\pi$
$239$	−1.47026	+	1.47026i	−0.0951030	+	0.0951030i	0.657955	+	0.753058i	$0.271422\pi$
$240$	−1.21230	−	0.324833i	−0.0782533	−	0.0209679i
$241$	−3.86601	−	14.4282i	−0.249032	−	0.929399i	−0.971314	−	0.237801i	$-0.923573\pi$
$241$	−3.86601	−	14.4282i	−0.249032	−	0.929399i	0.722282	−	0.691598i	$-0.243093\pi$
$242$	−0.432897	+	0.115995i	−0.0278277	+	0.00745641i
$243$	−0.866025	+	0.500000i	−0.0555556	+	0.0320750i
$244$	7.63231			0.488608
$245$	−2.30140	−	0.0835705i	−0.147031	−	0.00533912i
$246$			0.347839i			0.0221774i
$247$	11.1875	−	3.40319i	0.711844	−	0.216540i
$248$	−1.26429	−	0.729938i	−0.0802824	−	0.0463511i
$249$	−1.47154	−	5.49187i	−0.0932552	−	0.348033i
$250$	0.496284	−	0.286530i	0.0313878	−	0.0181217i
$251$	14.2915			0.902070			0.451035	−	0.892506i	$-0.351055\pi$
$251$	14.2915			0.902070			0.451035	+	0.892506i	$0.351055\pi$
$252$	3.24580	−	4.07471i	0.204466	−	0.256683i
$253$	−7.73090	+	7.73090i	−0.486038	+	0.486038i
$254$	−0.410277	+	1.53117i	−0.0257431	+	0.0960744i
$255$	0.373145	+	1.39260i	0.0233672	+	0.0872077i
$256$	−6.78827	+	11.7576i	−0.424267	+	0.734852i
$257$	−13.7876	−	23.8809i	−0.860048	−	1.48965i	−0.871882	−	0.489717i	$-0.837100\pi$
$257$	−13.7876	−	23.8809i	−0.860048	−	1.48965i	0.0118336	−	0.999930i	$-0.496233\pi$
$258$	−0.0184434	+	0.0184434i	−0.00114823	+	0.00114823i
$259$	−5.05238	+	3.73313i	−0.313940	+	0.231965i
$260$	2.27499	+	0.528589i	0.141089	+	0.0327817i
$261$	−4.73670	−	8.20420i	−0.293194	−	0.507827i
$262$	−0.547470	+	0.146694i	−0.0338228	+	0.00906280i
$263$	−9.70992	+	16.8181i	−0.598739	+	1.03705i	0.394268	+	0.918995i	$0.370998\pi$
$263$	−9.70992	+	16.8181i	−0.598739	+	1.03705i	−0.993007	+	0.118052i	$0.962335\pi$
$264$	1.28613	+	2.22765i	0.0791560	+	0.137102i
$265$	2.56597	+	2.56597i	0.157627	+	0.157627i
$266$	−1.40628	+	0.552818i	−0.0862243	+	0.0338954i
$267$	−7.99261	−	7.99261i	−0.489140	−	0.489140i
$268$	3.16190	−	11.8004i	0.193144	−	0.720823i
$269$	−3.55939	−	2.05502i	−0.217020	−	0.125296i	0.387550	−	0.921849i	$-0.373322\pi$
$269$	−3.55939	−	2.05502i	−0.217020	−	0.125296i	−0.604570	+	0.796552i	$0.706655\pi$
$270$	0.0501714	+	0.0289665i	0.00305334	+	0.00176284i
$271$	19.5469	+	5.23757i	1.18739	+	0.318159i	0.797853	−	0.602852i	$-0.205969\pi$
$271$	19.5469	+	5.23757i	1.18739	+	0.318159i	0.389535	+	0.921012i	$0.372636\pi$
$272$	16.7180			1.01368
$273$	−5.69034	+	7.65637i	−0.344395	+	0.463385i
$274$	−2.54486			−0.153741
$275$	17.3900	+	4.65964i	1.04866	+	0.280987i
$276$	5.06558	+	2.92461i	0.304912	+	0.176041i
$277$	−9.75328	−	5.63106i	−0.586018	−	0.338337i	0.177504	−	0.984120i	$-0.443198\pi$
$277$	−9.75328	−	5.63106i	−0.586018	−	0.338337i	−0.763521	+	0.645783i	$0.776531\pi$
$278$	0.798900	−	2.98154i	0.0479149	−	0.178821i
$279$	−1.47698	−	1.47698i	−0.0884247	−	0.0884247i
$280$	−0.601607	−	0.0903384i	−0.0359529	−	0.00539875i
$281$	1.47566	+	1.47566i	0.0880307	+	0.0880307i	0.749751	−	0.661720i	$-0.230173\pi$
$281$	1.47566	+	1.47566i	0.0880307	+	0.0880307i	−0.661720	+	0.749751i	$0.730173\pi$
$282$	0.440987	+	0.763812i	0.0262604	+	0.0454844i
$283$	−0.632289	+	1.09516i	−0.0375857	+	0.0651003i	−0.884206	−	0.467097i	$-0.845300\pi$
$283$	−0.632289	+	1.09516i	−0.0375857	+	0.0651003i	0.846621	+	0.532197i	$0.178633\pi$
$284$	15.7307	−	4.21503i	0.933446	−	0.250116i
$285$	0.533495	+	0.924040i	0.0316015	+	0.0547354i
$286$	−1.23549	−	1.98339i	−0.0730560	−	0.117280i
$287$	−0.588007	−	5.19296i	−0.0347090	−	0.306531i
$288$	1.46344	−	1.46344i	0.0862340	−	0.0862340i
$289$	−1.10221	−	1.90908i	−0.0648356	−	0.112299i
$290$	−0.274411	+	0.475294i	−0.0161140	+	0.0279102i
$291$	−4.20427	−	15.6906i	−0.246459	−	0.919797i
$292$	−2.58911	+	9.66270i	−0.151516	+	0.565467i
$293$	23.0864	−	23.0864i	1.34872	−	1.34872i	0.461675	−	0.887049i	$-0.347249\pi$
$293$	23.0864	−	23.0864i	1.34872	−	1.34872i	0.887049	−	0.461675i	$-0.152751\pi$
$294$	0.654663	−	1.04445i	0.0381807	−	0.0609133i
$295$	3.31021			0.192728
$296$	−1.43715	+	0.829736i	−0.0835324	+	0.0482275i
$297$	0.952547	+	3.55495i	0.0552724	+	0.206279i
$298$	0.277963	+	0.160482i	0.0161019	+	0.00929646i
$299$	−9.45011	−	5.04175i	−0.546514	−	0.291572i
$300$		−	9.63184i		−	0.556095i
$301$	0.244168	−	0.306523i	0.0140736	−	0.0176677i
$302$	−3.48694			−0.200651
$303$	0.819572	−	0.473180i	0.0470832	−	0.0271835i
$304$	11.9511	−	3.20228i	0.685441	−	0.183663i
$305$	−0.330057	−	1.23179i	−0.0188990	−	0.0705321i
$306$	−0.745400	−	0.199729i	−0.0426117	−	0.0114178i
$307$	−6.88179	+	6.88179i	−0.392764	+	0.392764i	−0.875672	−	0.482907i	$-0.839581\pi$
$307$	−6.88179	+	6.88179i	−0.392764	+	0.392764i	0.482907	+	0.875672i	$0.339581\pi$
$308$	−11.3936	−	15.4200i	−0.649213	−	0.878637i
$309$			6.82543i			0.388285i
$310$	−0.0313193	+	0.116885i	−0.00177882	+	0.00663864i
$311$	−15.4342	+	26.7328i	−0.875193	+	1.51588i	−0.0186367	+	0.999826i	$0.505933\pi$
$311$	−15.4342	+	26.7328i	−0.875193	+	1.51588i	−0.856557	+	0.516053i	$0.827401\pi$
$312$	−1.72121	+	1.84058i	−0.0974442	+	0.104202i
$313$	12.4966	−	7.21489i	0.706348	−	0.407810i	−0.103360	−	0.994644i	$-0.532959\pi$
$313$	12.4966	−	7.21489i	0.706348	−	0.407810i	0.809707	+	0.586834i	$0.199626\pi$
$314$	1.11783	+	1.11783i	0.0630831	+	0.0630831i
$315$	−0.797987	−	0.347635i	−0.0449615	−	0.0195870i
$316$			6.21827i			0.349805i
$317$	−7.77340	−	2.08288i	−0.436598	−	0.116986i	0.0338238	−	0.999428i	$-0.489231\pi$
$317$	−7.77340	−	2.08288i	−0.436598	−	0.116986i	−0.470422	+	0.882442i	$0.655898\pi$
$318$	−1.87618	+	0.502722i	−0.105211	+	0.0281913i
$319$	−33.6775	+	9.02385i	−1.88558	+	0.505239i
$320$	2.30878	+	0.618635i	0.129065	+	0.0345827i
$321$			19.4202i			1.08393i
$322$	1.26887	+	0.552768i	0.0707111	+	0.0308045i
$323$	−10.0500	−	10.0500i	−0.559195	−	0.559195i
$324$	1.70520	−	0.984495i	0.0947331	−	0.0546942i
$325$	0.590781	+	17.6276i	0.0327707	+	0.977804i
$326$	−0.442140	+	0.765809i	−0.0244879	+	0.0424143i
$327$	2.89480	−	10.8035i	0.160083	−	0.597436i
$328$		−	1.38057i		−	0.0762291i
$329$	−7.87479	−	10.6577i	−0.434151	−	0.587576i
$330$	0.150765	−	0.150765i	0.00829935	−	0.00829935i
$331$	−8.34836	−	2.23694i	−0.458867	−	0.122953i	0.0219783	−	0.999758i	$-0.493004\pi$
$331$	−8.34836	−	2.23694i	−0.458867	−	0.122953i	−0.480845	+	0.876805i	$0.659670\pi$
$332$	2.89745	+	10.8134i	0.159018	+	0.593465i
$333$	−2.29345	+	0.614527i	−0.125680	+	0.0336759i
$334$	3.46112	−	1.99828i	0.189384	−	0.109341i
$335$	−2.04122			−0.111524
$336$	−6.28871	+	7.89472i	−0.343077	+	0.430693i
$337$		−	15.4804i		−	0.843272i	−0.906765	−	0.421636i	$-0.861456\pi$
$337$		−	15.4804i		−	0.843272i	0.906765	−	0.421636i	$-0.138544\pi$
$338$	1.50671	−	1.72347i	0.0819545	−	0.0937446i
$339$	16.9747	+	9.80032i	0.921937	+	0.532280i
$340$	−0.734719	−	2.74201i	−0.0398457	−	0.148706i
$341$	−6.65750	+	3.84371i	−0.360524	+	0.208149i
$342$	−0.571116			−0.0308824
$343$	−8.00802	+	16.6994i	−0.432392	+	0.901686i
$344$	0.0732016	−	0.0732016i	0.00394676	−	0.00394676i
$345$	0.252948	−	0.944016i	0.0136183	−	0.0508241i
$346$	0.794958	+	2.96682i	0.0427372	+	0.159497i
$347$	−5.11469	+	8.85890i	−0.274571	+	0.475571i	−0.970027	−	0.242998i	$-0.921869\pi$
$347$	−5.11469	+	8.85890i	−0.274571	+	0.475571i	0.695456	+	0.718569i	$0.255202\pi$
$348$	9.32651	+	16.1540i	0.499953	+	0.865945i
$349$	9.74246	−	9.74246i	0.521502	−	0.521502i	−0.396523	−	0.918025i	$-0.629783\pi$
$349$	9.74246	−	9.74246i	0.521502	−	0.521502i	0.918025	+	0.396523i	$0.129783\pi$
$350$	−0.256425	−	2.26461i	−0.0137065	−	0.121049i
$351$	−3.06036	+	1.90635i	−0.163350	+	0.101754i
$352$	−3.80847	−	6.59646i	−0.202992	−	0.351592i
$353$	−28.9102	+	7.74646i	−1.53873	+	0.412303i	−0.925857	−	0.377875i	$-0.876655\pi$
$353$	−28.9102	+	7.74646i	−1.53873	+	0.412303i	−0.612878	+	0.790178i	$0.709988\pi$
$354$	−0.885912	+	1.53444i	−0.0470857	+	0.0815548i
$355$	−1.36054	−	2.35653i	−0.0722100	−	0.125071i
$356$	15.7374	+	15.7374i	0.834079	+	0.834079i
$357$	11.4659	+	1.72174i	0.606839	+	0.0911240i
$358$	2.01454	+	2.01454i	0.106471	+	0.106471i
$359$	−1.69405	+	6.32226i	−0.0894083	+	0.333676i	−0.996112	−	0.0880909i	$-0.971923\pi$
$359$	−1.69405	+	6.32226i	−0.0894083	+	0.333676i	0.906704	+	0.421767i	$0.138590\pi$
$360$	−0.199130	−	0.114968i	−0.0104951	−	0.00605933i
$361$	7.34509	+	4.24069i	0.386584	+	0.223194i
$362$	−2.84612	−	0.762615i	−0.149589	−	0.0400822i
$363$	2.54505			0.133580
$364$	11.2042	−	15.0753i	0.587261	−	0.790162i
$365$	1.67144			0.0874874
$366$	0.659327	+	0.176666i	0.0344636	+	0.00923449i
$367$	3.19236	+	1.84311i	0.166640	+	0.0962097i	0.581001	−	0.813903i	$-0.302661\pi$
$367$	3.19236	+	1.84311i	0.166640	+	0.0962097i	−0.414361	+	0.910113i	$0.635995\pi$
$368$	−9.81453	−	5.66642i	−0.511618	−	0.295383i
$369$	0.511245	−	1.90799i	0.0266143	−	0.0993261i
$370$	0.0972648	+	0.0972648i	0.00505656	+	0.00505656i
$371$	27.1602	−	10.6769i	1.41009	−	0.554315i
$372$	2.90817	+	2.90817i	0.150781	+	0.150781i
$373$	6.12385	+	10.6068i	0.317081	+	0.549200i	0.979878	−	0.199599i	$-0.0639639\pi$
$373$	6.12385	+	10.6068i	0.317081	+	0.549200i	−0.662797	+	0.748799i	$0.730631\pi$
$374$	−1.42006	+	2.45961i	−0.0734294	+	0.127184i
$375$	−3.14339	+	0.842269i	−0.162324	+	0.0434946i
$376$	−1.75027	−	3.03156i	−0.0902635	−	0.156341i
$377$	−18.0596	−	28.9920i	−0.930119	−	1.49316i
$378$	0.374711	−	0.276868i	0.0192730	−	0.0142406i
$379$	25.2580	−	25.2580i	1.29742	−	1.29742i	0.367326	−	0.930092i	$-0.380273\pi$
$379$	25.2580	−	25.2580i	1.29742	−	1.29742i	0.930092	−	0.367326i	$-0.119727\pi$
$380$	−1.05045	−	1.81943i	−0.0538867	−	0.0933346i
$381$	4.50097	−	7.79590i	0.230591	−	0.399396i
$382$	−0.791392	−	2.95351i	−0.0404911	−	0.151115i
$383$	−0.00136482	+	0.00509357i	−6.97389e−5	+	0.000260269i	−0.965961	−	0.258689i	$-0.916710\pi$
$383$	−0.00136482	+	0.00509357i	−6.97389e−5	+	0.000260269i	0.965891	+	0.258949i	$0.0833762\pi$
$384$	−3.83154	+	3.83154i	−0.195528	+	0.195528i
$385$	−1.99595	+	2.50567i	−0.101723	+	0.127701i
$386$	4.29899			0.218813
$387$	0.128275	−	0.0740594i	0.00652056	−	0.00376465i
$388$	8.27818	+	30.8946i	0.420261	+	1.56843i
$389$	1.75996	+	1.01612i	0.0892337	+	0.0515191i	0.543953	−	0.839116i	$-0.316927\pi$
$389$	1.75996	+	1.01612i	0.0892337	+	0.0515191i	−0.454719	+	0.890635i	$0.650260\pi$
$390$	0.184292	+	0.0983223i	0.00933201	+	0.00497874i
$391$			13.0183i			0.658366i
$392$	−2.59835	+	4.14539i	−0.131237	+	0.209374i
$393$	3.21863			0.162359
$394$	0.388602	−	0.224359i	0.0195775	−	0.0113031i
$395$	1.00358	−	0.268907i	0.0504954	−	0.0135302i
$396$	−1.87556	−	6.99967i	−0.0942503	−	0.351747i
$397$	−0.244118	−	0.0654113i	−0.0122520	−	0.00328290i	0.252688	−	0.967548i	$-0.418685\pi$
$397$	−0.244118	−	0.0654113i	−0.0122520	−	0.00328290i	−0.264940	+	0.964265i	$0.585352\pi$
$398$	1.58206	−	1.58206i	0.0793013	−	0.0793013i
$399$	8.52633	−	0.965449i	0.426850	−	0.0483329i
$400$			18.6616i			0.933082i
$401$	0.367646	−	1.37207i	0.0183594	−	0.0685181i	−0.956138	−	0.292915i	$-0.905375\pi$
$401$	0.367646	−	1.37207i	0.0183594	−	0.0685181i	0.974498	+	0.224397i	$0.0720413\pi$
$402$	0.546290	−	0.946203i	0.0272465	−	0.0471923i
$403$	−5.50073	−	5.14397i	−0.274011	−	0.256240i
$404$	−1.61373	+	0.931688i	−0.0802861	+	0.0463532i
$405$	−0.232630	−	0.232630i	−0.0115595	−	0.0115595i
$406$	2.62288	+	3.54978i	0.130172	+	0.176173i
$407$			8.73847i			0.433150i
$408$	2.95849	+	0.792724i	0.146467	+	0.0392457i
$409$	36.1606	−	9.68921i	1.78803	−	0.479101i	0.796020	−	0.605270i	$-0.206935\pi$
$409$	36.1606	−	9.68921i	1.78803	−	0.479101i	0.992009	+	0.126170i	$0.0402683\pi$
$410$	−0.110536	+	0.0296179i	−0.00545897	+	0.00146273i
$411$	13.9593	+	3.74037i	0.688559	+	0.184499i
$412$		−	13.4392i		−	0.662103i
$413$	10.6321	−	24.4057i	0.523170	−	1.20092i
$414$	0.369901	+	0.369901i	0.0181796	+	0.0181796i
$415$	1.61990	−	0.935249i	0.0795177	−	0.0459096i
$416$	5.09680	−	5.45029i	0.249891	−	0.267222i
$417$	−8.76438	+	15.1804i	−0.429194	+	0.743385i
$418$	−0.544015	+	2.03029i	−0.0266087	+	0.0993049i
$419$		−	9.58263i		−	0.468142i	−0.972219	−	0.234071i	$-0.924795\pi$
$419$		−	9.58263i		−	0.468142i	0.972219	−	0.234071i	$-0.0752048\pi$
$420$	1.57123	+	0.684489i	0.0766682	+	0.0333997i
$421$	−6.01574	+	6.01574i	−0.293189	+	0.293189i	−0.838339	−	0.545149i	$-0.816473\pi$
$421$	−6.01574	+	6.01574i	−0.293189	+	0.293189i	0.545149	+	0.838339i	$0.316473\pi$
$422$	1.14298	+	0.306259i	0.0556392	+	0.0149085i
$423$	−1.29630	−	4.83788i	−0.0630285	−	0.235226i
$424$	7.44656	−	1.99530i	0.361637	−	0.0969003i
$425$	18.5651	−	10.7186i	0.900539	−	0.519926i
$426$	1.45649			0.0705670
$427$	−10.1419	−	1.52293i	−0.490801	−	0.0736995i
$428$		−	38.2382i		−	1.84831i
$429$	3.86186	+	12.6953i	0.186453	+	0.612937i
$430$	−0.00743133	−	0.00429048i	−0.000358371	−	0.000206905i
$431$	6.78868	+	25.3357i	0.326999	+	1.22038i	0.912287	+	0.409552i	$0.134315\pi$
$431$	6.78868	+	25.3357i	0.326999	+	1.22038i	−0.585288	+	0.810826i	$0.699019\pi$
$432$	−3.30381	+	1.90745i	−0.158954	+	0.0917724i
$433$	21.2892			1.02310			0.511548	−	0.859255i	$-0.329072\pi$
$433$	21.2892			1.02310			0.511548	+	0.859255i	$0.329072\pi$
$434$	0.761182	+	0.606336i	0.0365379	+	0.0291051i
$435$	2.20379	−	2.20379i	0.105664	−	0.105664i
$436$	−5.69983	+	21.2720i	−0.272972	+	1.01875i
$437$	2.49362	+	9.30632i	0.119286	+	0.445182i
$438$	−0.447328	+	0.774795i	−0.0213742	+	0.0370212i
$439$	18.3155	+	31.7233i	0.874150	+	1.51407i	0.857666	+	0.514208i	$0.171914\pi$
$439$	18.3155	+	31.7233i	0.874150	+	1.51407i	0.0164843	+	0.999864i	$0.494753\pi$
$440$	−0.598386	+	0.598386i	−0.0285269	+	0.0285269i
$441$	−5.12611	+	4.76687i	−0.244100	+	0.226994i
$442$	−2.71019	−	0.629708i	−0.128911	−	0.0299522i
$443$	7.43367	+	12.8755i	0.353184	+	0.611733i	0.986805	−	0.161910i	$-0.0517655\pi$
$443$	7.43367	+	12.8755i	0.353184	+	0.611733i	−0.633621	+	0.773644i	$0.718432\pi$
$444$	4.51578	−	1.21000i	0.214309	−	0.0574240i
$445$	1.85932	−	3.22044i	0.0881403	−	0.152663i
$446$	2.09420	+	3.62727i	0.0991634	+	0.171756i
$447$	−1.28883	−	1.28883i	−0.0609596	−	0.0609596i
$448$	11.9766	−	15.0352i	0.565843	−	0.710349i
$449$	23.9901	+	23.9901i	1.13216	+	1.13216i	0.989817	+	0.142344i	$0.0454640\pi$
$449$	23.9901	+	23.9901i	1.13216	+	1.13216i	0.142344	+	0.989817i	$0.454536\pi$
$450$	0.222950	−	0.832060i	0.0105100	−	0.0392237i
$451$	−6.29584	−	3.63490i	−0.296459	−	0.171161i
$452$	−33.4229	−	19.2967i	−1.57208	−	0.907642i
$453$	19.1268	+	5.12502i	0.898657	+	0.240794i
$454$	−1.73579			−0.0814647
$455$	−2.91755	−	1.15634i	−0.136777	−	0.0542100i
$456$	2.26676			0.106151
$457$	16.4111	+	4.39735i	0.767681	+	0.205699i	0.621347	−	0.783536i	$-0.286586\pi$
$457$	16.4111	+	4.39735i	0.767681	+	0.205699i	0.146334	+	0.989235i	$0.453253\pi$
$458$	0.0868510	+	0.0501434i	0.00405828	+	0.00234305i
$459$	3.79517	+	2.19114i	0.177143	+	0.102274i
$460$	−0.498053	+	1.85876i	−0.0232218	+	0.0866651i
$461$	−16.9085	−	16.9085i	−0.787505	−	0.787505i	0.193579	−	0.981085i	$-0.437990\pi$
$461$	−16.9085	−	16.9085i	−0.787505	−	0.787505i	−0.981085	+	0.193579i	$0.937990\pi$
$462$	−0.627325	−	1.59581i	−0.0291858	−	0.0742438i
$463$	8.41551	+	8.41551i	0.391102	+	0.391102i	0.875080	−	0.483978i	$-0.160809\pi$
$463$	8.41551	+	8.41551i	0.391102	+	0.391102i	−0.483978	+	0.875080i	$0.660809\pi$
$464$	−18.0700	−	31.2982i	−0.838881	−	1.45298i
$465$	0.343591	−	0.595116i	0.0159336	−	0.0275979i
$466$	0.561312	−	0.150403i	0.0260023	−	0.00696728i
$467$	−0.592620	−	1.02645i	−0.0274232	−	0.0474984i	0.851988	−	0.523561i	$-0.175397\pi$
$467$	−0.592620	−	1.02645i	−0.0274232	−	0.0474984i	−0.879411	+	0.476063i	$0.842064\pi$
$468$	6.02582	−	3.75359i	0.278544	−	0.173510i
$469$	−6.55618	+	15.0496i	−0.302736	+	0.694924i
$470$	−0.205174	+	0.205174i	−0.00946396	+	0.00946396i
$471$	−4.48867	−	7.77460i	−0.206827	−	0.358235i
$472$	3.51618	−	6.09020i	0.161845	−	0.280324i
$473$	−0.141090	−	0.526555i	−0.00648733	−	0.0242110i
$474$	−0.143935	+	0.537174i	−0.00661117	+	0.0246732i
$475$	11.2184	−	11.2184i	0.514735	−	0.514735i
$476$	−22.5762	−	3.39008i	−1.03478	−	0.155384i
$477$	11.0303			0.505042
$478$	0.317091	−	0.183073i	0.0145034	−	0.00837354i
$479$	2.43892	+	9.10217i	0.111437	+	0.415889i	0.998996	−	0.0448059i	$-0.0142669\pi$
$479$	2.43892	+	9.10217i	0.111437	+	0.415889i	−0.887559	+	0.460695i	$0.847600\pi$
$480$	0.589659	+	0.340440i	0.0269141	+	0.0155389i
$481$	−8.19028	+	2.49145i	−0.373445	+	0.113600i
$482$			2.63034i			0.119809i
$483$	−6.14763	−	4.89703i	−0.279727	−	0.222823i
$484$	−5.01118			−0.227781
$485$	4.62814	−	2.67206i	0.210153	−	0.121332i
$486$	0.170094	−	0.0455765i	0.00771562	−	0.00206739i
$487$	−6.39980	−	23.8844i	−0.290003	−	1.08230i	−0.945106	−	0.326765i	$-0.894041\pi$
$487$	−6.39980	−	23.8844i	−0.290003	−	1.08230i	0.655103	−	0.755540i	$-0.272625\pi$
$488$	−2.61686	−	0.701187i	−0.118460	−	0.0317412i
$489$	3.55083	−	3.55083i	0.160574	−	0.160574i
$490$	0.387646	+	0.119105i	0.0175121	+	0.00538061i
$491$			13.9286i			0.628588i	0.949326	+	0.314294i	$0.101768\pi$
$491$			13.9286i			0.628588i	−0.949326	+	0.314294i	$0.898232\pi$
$492$	−1.00664	+	3.75682i	−0.0453827	+	0.169370i
$493$	−20.7575	+	35.9531i	−0.934873	+	1.61925i
$494$	−2.05803	+	0.0689740i	−0.0925953	+	0.00310329i
$495$	−1.04858	+	0.605398i	−0.0471302	+	0.0272106i
$496$	−5.63455	−	5.63455i	−0.252999	−	0.252999i
$497$	−21.7442	+	2.46213i	−0.975361	+	0.110442i
$498$			1.00120i			0.0448649i
$499$	−2.85697	−	0.765522i	−0.127895	−	0.0342695i	0.194304	−	0.980941i	$-0.437755\pi$
$499$	−2.85697	−	0.765522i	−0.127895	−	0.0342695i	−0.322199	+	0.946672i	$0.604422\pi$
$500$	6.18931	−	1.65842i	0.276794	−	0.0741668i
$501$	−21.9222	+	5.87403i	−0.979412	+	0.262433i
$502$	−2.43089	−	0.651356i	−0.108496	−	0.0290714i
$503$		−	17.7072i		−	0.789525i	−0.918783	−	0.394763i	$-0.870827\pi$
$503$		−	17.7072i		−	0.789525i	0.918783	−	0.394763i	$-0.129173\pi$
$504$	−1.48722	+	1.09889i	−0.0662462	+	0.0489484i
$505$	0.220152	+	0.220152i	0.00979663	+	0.00979663i
$506$	1.66733	−	0.962632i	0.0741218	−	0.0427942i
$507$	−10.7979	+	7.23920i	−0.479550	+	0.321504i
$508$	−8.86236	+	15.3501i	−0.393204	+	0.681049i
$509$	−6.28858	+	23.4693i	−0.278736	+	1.04026i	0.674560	+	0.738220i	$0.264334\pi$
$509$	−6.28858	+	23.4693i	−0.278736	+	1.04026i	−0.953296	+	0.302038i	$0.902333\pi$
$510$		−	0.253879i		−	0.0112419i
$511$	5.36851	−	12.3233i	0.237489	−	0.545150i
$512$	9.35360	−	9.35360i	0.413375	−	0.413375i
$513$	3.13273	+	0.839413i	0.138313	+	0.0370610i
$514$	1.25678	+	4.69038i	0.0554344	+	0.206884i
$515$	−2.16898	+	0.581175i	−0.0955765	+	0.0256096i
$516$	−0.252571	+	0.145822i	−0.0111188	+	0.00641947i
$517$	−18.4332			−0.810692
$518$	1.02952	−	0.404713i	0.0452346	−	0.0177821i
$519$		−	17.4423i		−	0.765630i
$520$	−0.731455	−	0.390240i	−0.0320764	−	0.0171132i
$521$	−21.5987	−	12.4700i	−0.946257	−	0.546322i	−0.0543407	−	0.998522i	$-0.517306\pi$
$521$	−21.5987	−	12.4700i	−0.946257	−	0.546322i	−0.891916	+	0.452201i	$0.850639\pi$
$522$	0.431764	+	1.61137i	0.0188978	+	0.0705276i
$523$	11.3506	−	6.55325i	0.496325	−	0.286554i	−0.230869	−	0.972985i	$-0.574157\pi$
$523$	11.3506	−	6.55325i	0.496325	−	0.286554i	0.727195	+	0.686431i	$0.240824\pi$
$524$	−6.33746			−0.276853
$525$	−1.92191	+	12.7989i	−0.0838788	+	0.558590i
$526$	2.41811	−	2.41811i	0.105435	−	0.105435i
$527$	−2.36912	+	8.84168i	−0.103201	+	0.385150i
$528$	3.63388	+	13.5618i	0.158144	+	0.590202i
$529$	−7.08755	+	12.2760i	−0.308154	+	0.533739i
$530$	−0.319508	−	0.553405i	−0.0138786	−	0.0240384i
$531$	7.11476	−	7.11476i	0.308754	−	0.308754i
$532$	−16.7883	+	1.90096i	−0.727863	+	0.0824171i
$533$	1.61186	−	6.93724i	0.0698172	−	0.300485i
$534$	0.995219	+	1.72377i	0.0430674	+	0.0745949i
$535$	−6.17132	+	1.65360i	−0.266810	+	0.0714914i
$536$	−2.16822	+	3.75547i	−0.0936529	+	0.162212i
$537$	−8.08937	−	14.0112i	−0.349082	−	0.604628i
$538$	0.511770	+	0.511770i	0.0220640	+	0.0220640i
$539$	12.0631	+	22.7637i	0.519596	+	0.980504i
$540$	0.458046	+	0.458046i	0.0197112	+	0.0197112i
$541$	6.99302	−	26.0983i	0.300653	−	1.12205i	−0.635970	−	0.771714i	$-0.719400\pi$
$541$	6.99302	−	26.0983i	0.300653	−	1.12205i	0.936623	−	0.350339i	$-0.113934\pi$
$542$	−3.08609	−	1.78176i	−0.132559	−	0.0765330i
$543$	14.4909	+	8.36631i	0.621863	+	0.359033i
$544$	−8.76060	−	2.34740i	−0.375608	−	0.100644i
$545$	3.67962			0.157617
$546$	1.31684	−	1.04296i	0.0563557	−	0.0446345i
$547$	1.96087			0.0838407			0.0419203	−	0.999121i	$-0.486652\pi$
$547$	1.96087			0.0838407			0.0419203	+	0.999121i	$0.486652\pi$
$548$	−27.4856	−	7.36476i	−1.17413	−	0.314607i
$549$	−3.35693	−	1.93813i	−0.143270	−	0.0827172i
$550$	−2.74557	−	1.58515i	−0.117071	−	0.0675911i
$551$	−7.95209	+	29.6776i	−0.338770	+	1.26431i
$552$	−1.46813	−	1.46813i	−0.0624879	−	0.0624879i
$553$	1.24077	−	8.26291i	0.0527630	−	0.351375i
$554$	1.40233	+	1.40233i	0.0595793	+	0.0595793i
$555$	−0.390567	−	0.676482i	−0.0165786	−	0.0287151i
$556$	17.2570	−	29.8900i	0.731859	−	1.26762i
$557$	36.0563	−	9.66126i	1.52775	−	0.409361i	0.605469	−	0.795869i	$-0.292986\pi$
$557$	36.0563	−	9.66126i	1.52775	−	0.409361i	0.922286	+	0.386508i	$0.126319\pi$
$558$	0.183910	+	0.318542i	0.00778554	+	0.0134849i
$559$	0.453297	−	0.282367i	0.0191724	−	0.0119428i
$560$	−3.04425	−	1.32619i	−0.128643	−	0.0560419i
$561$	11.4045	−	11.4045i	0.481498	−	0.481498i
$562$	−0.183746	−	0.318257i	−0.00775085	−	0.0134249i
$563$	5.32861	−	9.22942i	0.224574	−	0.388974i	−0.731618	−	0.681715i	$-0.761234\pi$
$563$	5.32861	−	9.22942i	0.224574	−	0.388974i	0.956192	+	0.292742i	$0.0945676\pi$
$564$	2.55241	+	9.52573i	0.107476	+	0.401106i
$565$	−1.66897	+	6.22866i	−0.0702139	+	0.262042i
$566$	0.157462	−	0.157462i	0.00661862	−	0.00661862i
$567$	−2.46233	+	0.967960i	−0.103408	+	0.0406505i
$568$	−5.78078			−0.242556
$569$	13.2463	−	7.64776i	0.555314	−	0.320611i	−0.195948	−	0.980614i	$-0.562779\pi$
$569$	13.2463	−	7.64776i	0.555314	−	0.320611i	0.751263	+	0.660003i	$0.229445\pi$
$570$	−0.0486297	−	0.181488i	−0.00203687	−	0.00760172i
$571$	0.0161329	+	0.00931434i	0.000675141	+	0.000389793i	0.500338	−	0.865830i	$-0.333209\pi$
$571$	0.0161329	+	0.00931434i	0.000675141	+	0.000389793i	−0.499662	+	0.866220i	$0.666543\pi$
$572$	−7.60398	−	24.9970i	−0.317938	−	1.04518i
$573$			17.3640i			0.725392i
$574$	−0.136661	+	0.910091i	−0.00570412	+	0.0379865i
$575$	−14.5318			−0.606020
$576$	6.29199	−	3.63268i	0.262166	−	0.151362i
$577$	−28.2665	+	7.57399i	−1.17675	+	0.315309i	−0.793637	−	0.608392i	$-0.791815\pi$
$577$	−28.2665	+	7.57399i	−1.17675	+	0.315309i	−0.383113	+	0.923701i	$0.625148\pi$
$578$	0.100469	+	0.374957i	0.00417898	+	0.0155962i
$579$	−23.5811	−	6.31855i	−0.979999	−	0.262590i
$580$	−4.33925	+	4.33925i	−0.180178	+	0.180178i
$581$	−1.69249	−	14.9472i	−0.0702164	−	0.620114i
$582$			2.86049i			0.118571i
$583$	10.5069	−	39.2121i	0.435150	−	1.62400i
$584$	1.77544	−	3.07516i	0.0734683	−	0.127251i
$585$	−0.866383	−	0.810194i	−0.0358205	−	0.0334974i
$586$	−4.97906	+	2.87466i	−0.205683	+	0.118751i
$587$	26.3438	+	26.3438i	1.08733	+	1.08733i	0.995803	+	0.0915228i	$0.0291735\pi$
$587$	26.3438	+	26.3438i	1.08733	+	1.08733i	0.0915228	+	0.995803i	$0.470827\pi$
$588$	10.0933	−	9.38592i	0.416239	−	0.387069i
$589$			6.77439i			0.279134i
$590$	−0.563047	−	0.150868i	−0.0231803	−	0.00621114i
$591$	−2.46135	+	0.659516i	−0.101246	+	0.0271288i
$592$	−8.74929	+	2.34436i	−0.359593	+	0.0963528i
$593$	−8.41225	−	2.25406i	−0.345450	−	0.0925630i	0.0819226	−	0.996639i	$-0.473894\pi$
$593$	−8.41225	−	2.25406i	−0.345450	−	0.0925630i	−0.427372	+	0.904076i	$0.640561\pi$
$594$		−	0.648090i		−	0.0265915i
$595$	0.429172	+	3.79021i	0.0175943	+	0.155384i
$596$	2.53769	+	2.53769i	0.103948	+	0.103948i
$597$	−11.0033	+	6.35275i	−0.450334	+	0.260001i
$598$	1.37762	+	1.28827i	0.0563351	+	0.0526815i
$599$	0.123308	−	0.213576i	0.00503824	−	0.00872650i	−0.863495	−	0.504357i	$-0.831730\pi$
$599$	0.123308	−	0.213576i	0.00503824	−	0.00872650i	0.868534	+	0.495630i	$0.165063\pi$
$600$	−0.884886	+	3.30244i	−0.0361253	+	0.134821i
$601$			2.02752i			0.0827042i	0.999145	+	0.0413521i	$0.0131665\pi$
$601$			2.02752i			0.0827042i	−0.999145	+	0.0413521i	$0.986833\pi$
$602$	−0.0555017	+	0.0410094i	−0.00226208	+	0.00167142i
$603$	−4.38726	+	4.38726i	−0.178663	+	0.178663i
$604$	−37.6606	−	10.0911i	−1.53239	−	0.410602i
$605$	0.216707	+	0.808762i	0.00881039	+	0.0328808i
$606$	−0.160970	+	0.0431319i	−0.00653897	+	0.00175211i
$607$	10.1702	−	5.87178i	0.412797	−	0.238328i	−0.279194	−	0.960235i	$-0.590067\pi$
$607$	10.1702	−	5.87178i	0.412797	−	0.238328i	0.691991	+	0.721906i	$0.256734\pi$
$608$	−6.71227			−0.272218
$609$	−9.16986	−	23.3266i	−0.371581	−	0.945241i
$610$			0.224563i			0.00909229i
$611$	−5.25554	−	17.2769i	−0.212617	−	0.698947i
$612$	−7.47265	−	4.31434i	−0.302064	−	0.174397i
$613$	5.15427	+	19.2360i	0.208179	+	0.776935i	0.988457	+	0.151502i	$0.0484110\pi$
$613$	5.15427	+	19.2360i	0.208179	+	0.776935i	−0.780278	+	0.625433i	$0.784922\pi$
$614$	1.48420	−	0.856903i	0.0598974	−	0.0345818i
$615$	0.649850			0.0262045
$616$	2.48985	+	6.33376i	0.100319	+	0.255194i
$617$	−33.7074	+	33.7074i	−1.35701	+	1.35701i	−0.479424	+	0.877584i	$0.659154\pi$
$617$	−33.7074	+	33.7074i	−1.35701	+	1.35701i	−0.877584	+	0.479424i	$0.840846\pi$
$618$	0.311080	−	1.16097i	0.0125135	−	0.0467009i
$619$	0.564483	+	2.10668i	0.0226885	+	0.0846746i	0.976342	−	0.216233i	$-0.0693771\pi$
$619$	0.564483	+	2.10668i	0.0226885	+	0.0846746i	−0.953653	+	0.300908i	$0.902710\pi$
$620$	−0.676527	+	1.17178i	−0.0271700	+	0.0470598i
$621$	−1.48534	−	2.57268i	−0.0596045	−	0.103238i
$622$	3.84365	−	3.84365i	0.154117	−	0.154117i
$623$	−17.7718	−	24.0522i	−0.712013	−	0.963631i
$624$	−11.6750	+	7.27256i	−0.467374	+	0.291136i
$625$	11.6941	+	20.2548i	0.467764	+	0.810191i
$626$	−2.45442	+	0.657660i	−0.0980984	+	0.0262854i
$627$	5.96815	−	10.3371i	0.238345	−	0.412826i
$628$	8.83815	+	15.3081i	0.352680	+	0.610860i
$629$	7.35750	+	7.35750i	0.293363	+	0.293363i
$630$	0.119889	+	0.0955001i	0.00477649	+	0.00380481i
$631$	−19.3612	−	19.3612i	−0.770757	−	0.770757i	0.207482	−	0.978239i	$-0.433473\pi$
$631$	−19.3612	−	19.3612i	−0.770757	−	0.770757i	−0.978239	+	0.207482i	$0.933473\pi$
$632$	0.571278	−	2.13204i	0.0227242	−	0.0848079i
$633$	−5.81940	−	3.35983i	−0.231301	−	0.133541i
$634$	1.22728	+	0.708570i	0.0487415	+	0.0281409i
$635$	2.86062	+	0.766501i	0.113520	+	0.0304177i
$636$	−21.7185			−0.861195
$637$	−17.8964	+	17.7966i	−0.709080	+	0.705128i
$638$	6.13961			0.243070
$639$	−7.98923	−	2.14071i	−0.316049	−	0.0846851i
$640$	−1.54383	−	0.891332i	−0.0610253	−	0.0352330i
$641$	17.6096	+	10.1669i	0.695538	+	0.401569i	0.805683	−	0.592346i	$-0.201798\pi$
$641$	17.6096	+	10.1669i	0.695538	+	0.401569i	−0.110145	+	0.993915i	$0.535132\pi$
$642$	0.885106	−	3.30326i	0.0349323	−	0.130369i
$643$	15.3886	+	15.3886i	0.606867	+	0.606867i	0.942126	−	0.335259i	$-0.108824\pi$
$643$	15.3886	+	15.3886i	0.606867	+	0.606867i	−0.335259	+	0.942126i	$0.608824\pi$
$644$	12.1046	+	9.64221i	0.476989	+	0.379956i
$645$	0.0344569	+	0.0344569i	0.00135674	+	0.00135674i
$646$	1.25140	+	2.16748i	0.0492356	+	0.0852785i
$647$	−7.72849	+	13.3861i	−0.303838	+	0.526264i	−0.977002	−	0.213230i	$-0.931602\pi$
$647$	−7.72849	+	13.3861i	−0.303838	+	0.526264i	0.673164	+	0.739494i	$0.264935\pi$
$648$	−0.675101	+	0.180893i	−0.0265205	+	0.00710614i
$649$	−18.5155	−	32.0698i	−0.726797	−	1.25885i
$650$	0.702918	−	3.02528i	0.0275707	−	0.118661i
$651$	−3.28412	−	4.44469i	−0.128715	−	0.174201i
$652$	−6.99155	+	6.99155i	−0.273810	+	0.273810i
$653$	7.39736	+	12.8126i	0.289481	+	0.501396i	0.973686	−	0.227894i	$-0.0731839\pi$
$653$	7.39736	+	12.8126i	0.289481	+	0.501396i	−0.684205	+	0.729290i	$0.739851\pi$
$654$	−0.984775	+	1.70568i	−0.0385078	+	0.0666974i
$655$	0.274062	+	1.02281i	0.0107085	+	0.0399646i
$656$	1.95035	−	7.27881i	0.0761484	−	0.284190i
$657$	3.59250	−	3.59250i	0.140157	−	0.140157i
$658$	0.853716	+	2.17171i	0.0332813	+	0.0846621i
$659$	−0.841008			−0.0327610			−0.0163805	−	0.999866i	$-0.505214\pi$
$659$	−0.841008			−0.0327610			−0.0163805	+	0.999866i	$0.505214\pi$
$660$	2.06464	−	1.19202i	0.0803662	−	0.0463994i
$661$	−0.251285	−	0.937809i	−0.00977386	−	0.0364766i	0.960867	−	0.277011i	$-0.0893439\pi$
$661$	−0.251285	−	0.937809i	−0.00977386	−	0.0364766i	−0.970641	+	0.240535i	$0.922677\pi$
$662$	1.31805	+	0.760979i	0.0512276	+	0.0295763i
$663$	13.9406	+	7.43750i	0.541409	+	0.288848i
$664$		−	3.97376i		−	0.154212i
$665$	1.03280	+	2.62728i	0.0400504	+	0.101881i
$666$	0.418110			0.0162014
$667$	24.3720	−	14.0712i	0.943687	−	0.544838i
$668$	43.1646	−	11.5659i	1.67009	−	0.447499i
$669$	−6.15602	−	22.9746i	−0.238006	−	0.888249i
$670$	0.347199	+	0.0930316i	0.0134135	+	0.00359412i
$671$	−10.0876	+	10.0876i	−0.389427	+	0.389427i
$672$	4.40393	−	3.25400i	0.169885	−	0.125526i
$673$			22.3441i			0.861303i	0.902518	+	0.430651i	$0.141716\pi$
$673$			22.3441i			0.861303i	−0.902518	+	0.430651i	$0.858284\pi$
$674$	−0.705544	+	2.63313i	−0.0271765	+	0.101424i
$675$	−2.44588	+	4.23639i	−0.0941421	+	0.163059i
$676$	21.2609	−	14.2539i	0.817727	−	0.548228i
$677$	32.1994	−	18.5903i	1.23752	−	0.714485i	0.268936	−	0.963158i	$-0.413328\pi$
$677$	32.1994	−	18.5903i	1.23752	−	0.714485i	0.968587	+	0.248673i	$0.0799946\pi$
$678$	−2.44062	−	2.44062i	−0.0937315	−	0.0937315i
$679$	−4.83554	−	42.7049i	−0.185571	−	1.63886i
$680$			1.00764i			0.0386413i
$681$	9.52129	+	2.55122i	0.364857	+	0.0977631i
$682$	1.30758	−	0.350366i	0.0500700	−	0.0134162i
$683$	−32.9307	+	8.82377i	−1.26006	+	0.337632i	−0.826215	−	0.563355i	$-0.809510\pi$
$683$	−32.9307	+	8.82377i	−1.26006	+	0.337632i	−0.433845	+	0.900987i	$0.642844\pi$
$684$	−6.16832	−	1.65280i	−0.235852	−	0.0631962i
$685$			4.75444i			0.181658i
$686$	2.12322	−	2.47550i	0.0810649	−	0.0945149i
$687$	−0.402702	−	0.402702i	−0.0153640	−	0.0153640i
$688$	0.489356	−	0.282530i	0.0186565	−	0.0107713i
$689$	39.7479	−	1.33213i	1.51428	−	0.0507502i
$690$	−0.0860500	+	0.149043i	−0.00327587	+	0.00567397i
$691$	8.15580	−	30.4379i	0.310261	−	1.15791i	−0.618060	−	0.786131i	$-0.712081\pi$
$691$	8.15580	−	30.4379i	0.310261	−	1.15791i	0.928321	−	0.371780i	$-0.121252\pi$
$692$			34.3436i			1.30555i
$693$	1.09557	+	9.67549i	0.0416173	+	0.367541i
$694$	1.27374	−	1.27374i	0.0483503	−	0.0483503i
$695$	−5.57026	−	1.49255i	−0.211292	−	0.0566155i
$696$	−1.71367	−	6.39550i	−0.0649565	−	0.242421i
$697$	−8.36136	+	2.24042i	−0.316709	+	0.0848620i
$698$	−2.10116	+	1.21311i	−0.0795301	+	0.0459167i
$699$	−3.30001			−0.124818
$700$	3.78422	−	25.2009i	0.143030	−	0.952505i
$701$			17.7850i			0.671730i	0.941910	+	0.335865i	$0.109029\pi$
$701$			17.7850i			0.671730i	−0.941910	+	0.335865i	$0.890971\pi$
$702$	0.607434	−	0.184779i	0.0229261	−	0.00697402i
$703$	6.66891	+	3.85030i	0.251523	+	0.145217i
$704$	−6.92060	−	25.8280i	−0.260830	−	0.973431i
$705$	1.42699	−	0.823875i	0.0537437	−	0.0310289i
$706$	5.27051			0.198358
$707$	2.33025	−	0.916039i	0.0876381	−	0.0344512i
$708$	−14.0089	+	14.0089i	−0.526487	+	0.526487i
$709$	−5.31842	+	19.8486i	−0.199737	+	0.745430i	0.791252	+	0.611490i	$0.209430\pi$
$709$	−5.31842	+	19.8486i	−0.199737	+	0.745430i	−0.990989	+	0.133940i	$0.957237\pi$
$710$	0.124018	+	0.462840i	0.00465429	+	0.0173701i
$711$	1.57905	−	2.73499i	0.0592190	−	0.102570i
$712$	−3.95002	−	6.84163i	−0.148033	−	0.256401i
$713$	4.38763	−	4.38763i	0.164318	−	0.164318i
$714$	−1.87181	−	0.815433i	−0.0700506	−	0.0305168i
$715$	−3.70547	+	2.30821i	−0.138577	+	0.0863220i
$716$	15.9279	+	27.5879i	0.595253	+	1.03101i
$717$	−2.00841	+	0.538151i	−0.0750053	+	0.0200976i
$718$	0.576294	−	0.998170i	0.0215071	−	0.0372514i
$719$	21.1838	+	36.6914i	0.790022	+	1.36836i	0.925953	+	0.377640i	$0.123264\pi$
$719$	21.1838	+	36.6914i	0.790022	+	1.36836i	−0.135931	+	0.990718i	$0.543402\pi$
$720$	−0.887462	−	0.887462i	−0.0330737	−	0.0330737i
$721$	−2.68162	+	17.8582i	−0.0998686	+	0.665073i
$722$	−1.05608	−	1.05608i	−0.0393032	−	0.0393032i
$723$	3.86601	−	14.4282i	0.143779	−	0.536589i
$724$	−28.5324	−	16.4732i	−1.06040	−	0.612221i
$725$	−40.1330	−	23.1708i	−1.49050	−	0.860542i
$726$	−0.432897	−	0.115995i	−0.0160663	−	0.00430496i
$727$	−36.9205			−1.36930			−0.684652	−	0.728870i	$-0.740046\pi$
$727$	−36.9205			−1.36930			−0.684652	+	0.728870i	$0.740046\pi$
$728$	−5.22654	+	4.13949i	−0.193708	+	0.153420i
$729$	−1.00000			−0.0370370
$730$	−0.284303	−	0.0761786i	−0.0105225	−	0.00281950i
$731$	−0.562136	−	0.324549i	−0.0207913	−	0.0120039i
$732$	6.60977	+	3.81615i	0.244304	+	0.141049i
$733$	−2.24050	+	8.36166i	−0.0827548	+	0.308845i	−0.994880	−	0.101068i	$-0.967774\pi$
$733$	−2.24050	+	8.36166i	−0.0827548	+	0.308845i	0.912125	+	0.409913i	$0.134441\pi$
$734$	−0.458999	−	0.458999i	−0.0169420	−	0.0169420i
$735$	−1.95129	−	1.22308i	−0.0719743	−	0.0451138i
$736$	4.34740	+	4.34740i	0.160247	+	0.160247i
$737$	11.4174	+	19.7756i	0.420567	+	0.728443i
$738$	−0.173919	+	0.301237i	−0.00640206	+	0.0110887i
$739$	43.6468	−	11.6951i	1.60558	−	0.430213i	0.658855	−	0.752270i	$-0.271041\pi$
$739$	43.6468	−	11.6951i	1.60558	−	0.430213i	0.946720	+	0.322057i	$0.104374\pi$
$740$	0.769023	+	1.33199i	0.0282698	+	0.0489648i
$741$	11.3903	+	2.64651i	0.418432	+	0.0972218i
$742$	−5.10639	+	0.578205i	−0.187462	+	0.0212266i
$743$	−7.56967	+	7.56967i	−0.277704	+	0.277704i	−0.832192	−	0.554488i	$-0.812914\pi$
$743$	−7.56967	+	7.56967i	−0.277704	+	0.277704i	0.554488	+	0.832192i	$0.312914\pi$
$744$	−0.729938	−	1.26429i	−0.0267608	−	0.0463511i
$745$	0.299821	−	0.519304i	0.0109846	−	0.0190258i
$746$	−0.558208	−	2.08326i	−0.0204374	−	0.0762736i
$747$	1.47154	−	5.49187i	0.0538409	−	0.200937i
$748$	−22.4553	+	22.4553i	−0.821048	+	0.821048i
$749$	−7.62992	+	50.8114i	−0.278791	+	1.85661i
$750$	0.573059			0.0209252
$751$	−43.4316	+	25.0752i	−1.58484	+	0.915009i	−0.590704	+	0.806889i	$0.701150\pi$
$751$	−43.4316	+	25.0752i	−1.58484	+	0.915009i	−0.994138	+	0.108120i	$0.965517\pi$
$752$	−4.94528	−	18.4560i	−0.180336	−	0.673023i
$753$	12.3768	+	7.14574i	0.451035	+	0.260405i
$754$	1.75048	+	5.75446i	0.0637488	+	0.209565i
$755$			6.51448i			0.237086i
$756$	4.84830	−	1.90590i	0.176331	−	0.0693170i
$757$	25.3067			0.919786			0.459893	−	0.887974i	$-0.347888\pi$
$757$	25.3067			0.919786			0.459893	+	0.887974i	$0.347888\pi$
$758$	−5.44741	+	3.14507i	−0.197859	+	0.114234i
$759$	−10.5606	+	2.82971i	−0.383326	+	0.102712i
$760$	0.193011	+	0.720326i	0.00700124	+	0.0261290i
$761$	13.1018	+	3.51061i	0.474939	+	0.127259i	0.488345	−	0.872651i	$-0.337601\pi$
$761$	13.1018	+	3.51061i	0.474939	+	0.127259i	−0.0134063	+	0.999910i	$0.504267\pi$
$762$	−1.12090	+	1.12090i	−0.0406058	+	0.0406058i
$763$	11.8186	−	27.1292i	0.427860	−	0.982144i
$764$		−	34.1896i		−	1.23694i
$765$	−0.373145	+	1.39260i	−0.0134911	+	0.0503494i
$766$	0.000464294	0	0.000804181i	1.67756e−5	0	2.90562e-5i
$767$	24.7790	−	26.4975i	0.894718	−	0.956769i
$768$	−11.7576	+	6.78827i	−0.424267	+	0.244951i
$769$	3.17745	+	3.17745i	0.114582	+	0.114582i	0.762073	−	0.647491i	$-0.224182\pi$
$769$	3.17745	+	3.17745i	0.114582	+	0.114582i	−0.647491	+	0.762073i	$0.724182\pi$
$770$	0.453698	−	0.335231i	0.0163501	−	0.0120809i
$771$		−	27.5752i		−	0.993098i
$772$	46.4311	+	12.4412i	1.67109	+	0.447767i
$773$	41.9441	−	11.2389i	1.50862	−	0.404234i	0.592646	−	0.805463i	$-0.298084\pi$
$773$	41.9441	−	11.2389i	1.50862	−	0.404234i	0.915978	+	0.401229i	$0.131417\pi$
$774$	−0.0251941	+	0.00675074i	−0.000905583	+	0.000242650i
$775$	−9.86961	−	2.64455i	−0.354527	−	0.0949952i
$776$		−	11.3532i		−	0.407558i
$777$	−6.24205	+	0.706797i	−0.223932	+	0.0253562i
$778$	−0.253048	−	0.253048i	−0.00907221	−	0.00907221i
$779$	−5.54808	+	3.20319i	−0.198781	+	0.114766i
$780$	1.70590	+	1.59526i	0.0610811	+	0.0571196i
$781$	−15.2202	+	26.3622i	−0.544623	+	0.943314i
$782$	0.593331	−	2.21434i	0.0212175	−	0.0791847i
$783$		−	9.47339i		−	0.338551i
$784$	−19.5556	+	18.1851i	−0.698415	+	0.649470i
$785$	2.08840	−	2.08840i	0.0745381	−	0.0745381i
$786$	−0.547470	−	0.146694i	−0.0195276	−	0.00523241i
$787$	−10.6911	−	39.8998i	−0.381098	−	1.42228i	−0.844227	−	0.535985i	$-0.819940\pi$
$787$	−10.6911	−	39.8998i	−0.381098	−	1.42228i	0.463130	−	0.886290i	$-0.346726\pi$
$788$	4.84637	−	1.29858i	0.172645	−	0.0462600i
$789$	−16.8181	+	9.70992i	−0.598739	+	0.345682i
$790$	−0.182958			−0.00650936
$791$	40.5624	+	32.3108i	1.44223	+	1.14884i
$792$			2.57226i			0.0914014i
$793$	−12.3309	−	6.57868i	−0.437882	−	0.233616i
$794$	0.0385419	+	0.0222522i	0.00136780	+	0.000789699i
$795$	0.939212	+	3.50519i	0.0333104	+	0.124316i
$796$	21.6654	−	12.5085i	0.767908	−	0.443352i
$797$	18.9109			0.669859			0.334930	−	0.942243i	$-0.391287\pi$
$797$	18.9109			0.669859			0.334930	+	0.942243i	$0.391287\pi$
$798$	−1.49428	−	0.224384i	−0.0528969	−	0.00794309i
$799$	−15.5202	+	15.5202i	−0.549064	+	0.549064i
$800$	2.62030	−	9.77911i	0.0926417	−	0.345744i
$801$	−2.92550	−	10.9181i	−0.103367	−	0.385772i
$802$	−0.125069	+	0.216625i	−0.00441633	+	0.00764931i
$803$	−9.34914	−	16.1932i	−0.329924	−	0.571445i
$804$	8.63848	−	8.63848i	0.304656	−	0.304656i
$805$	1.03271	−	2.37056i	0.0363982	−	0.0835513i
$806$	0.701196	+	1.12566i	0.0246986	+	0.0396498i
$807$	−2.05502	−	3.55939i	−0.0723400	−	0.125296i
$808$	0.638890	−	0.171190i	0.0224761	−	0.00602244i
$809$	5.46876	−	9.47217i	0.192271	−	0.333024i	−0.753731	−	0.657183i	$-0.771748\pi$
$809$	5.46876	−	9.47217i	0.192271	−	0.333024i	0.946003	+	0.324159i	$0.105081\pi$
$810$	0.0289665	+	0.0501714i	0.00101778	+	0.00176284i
$811$	7.07574	+	7.07574i	0.248463	+	0.248463i	0.820340	−	0.571877i	$-0.193784\pi$
$811$	7.07574	+	7.07574i	0.248463	+	0.248463i	−0.571877	+	0.820340i	$0.693784\pi$
$812$	18.0554	+	45.9298i	0.633619	+	1.61182i
$813$	14.3093	+	14.3093i	0.501849	+	0.501849i
$814$	0.398269	−	1.48636i	0.0139593	−	0.0520969i
$815$	1.43073	+	0.826029i	0.0501161	+	0.0289346i
$816$	14.4782	+	8.35900i	0.506839	+	0.292624i
$817$	−0.464016	−	0.124333i	−0.0162339	−	0.00434985i
$818$	−6.59231			−0.230495
$819$	−8.75616	+	3.78545i	−0.305965	+	0.132274i
$820$	−1.27955			−0.0446838
$821$	24.2653	+	6.50188i	0.846866	+	0.226917i	0.656058	−	0.754710i	$-0.272223\pi$
$821$	24.2653	+	6.50188i	0.846866	+	0.226917i	0.190808	+	0.981627i	$0.438889\pi$
$822$	−2.20391	−	1.27243i	−0.0768703	−	0.0443811i
$823$	16.6825	+	9.63162i	0.581514	+	0.335737i	0.761735	−	0.647889i	$-0.224348\pi$
$823$	16.6825	+	9.63162i	0.581514	+	0.335737i	−0.180221	+	0.983626i	$0.557681\pi$
$824$	−1.23467	+	4.60786i	−0.0430118	+	0.160522i
$825$	12.7304	+	12.7304i	0.443215	+	0.443215i
$826$	−2.92078	+	3.66669i	−0.101627	+	0.127580i
$827$	−19.3237	−	19.3237i	−0.671952	−	0.671952i	0.286214	−	0.958166i	$-0.407603\pi$
$827$	−19.3237	−	19.3237i	−0.671952	−	0.671952i	−0.958166	+	0.286214i	$0.907603\pi$
$828$	2.92461	+	5.06558i	0.101637	+	0.176041i
$829$	24.2897	−	42.0710i	0.843616	−	1.46119i	−0.0432015	−	0.999066i	$-0.513756\pi$
$829$	24.2897	−	42.0710i	0.843616	−	1.46119i	0.886818	−	0.462120i	$-0.152911\pi$
$830$	−0.318161	+	0.0852509i	−0.0110435	+	0.00295910i
$831$	−5.63106	−	9.75328i	−0.195339	−	0.338337i
$832$	22.2346	−	13.8504i	0.770848	−	0.480175i
$833$	29.3231	+	9.00957i	1.01598	+	0.312163i
$834$	2.18264	−	2.18264i	0.0755785	−	0.0755785i
$835$	−3.73328	−	6.46624i	−0.129196	−	0.223773i
$836$	−11.7512	+	20.3537i	−0.406425	+	0.703948i
$837$	−0.540613	−	2.01760i	−0.0186863	−	0.0697383i
$838$	−0.436743	+	1.62995i	−0.0150870	+	0.0563056i
$839$	−40.3300	+	40.3300i	−1.39235	+	1.39235i	−0.572308	+	0.820039i	$0.693952\pi$
$839$	−40.3300	+	40.3300i	−1.39235	+	1.39235i	−0.820039	+	0.572308i	$0.806048\pi$
$840$	−0.475838	−	0.379039i	−0.0164180	−	0.0130781i
$841$	60.7451			2.09466
$842$	1.29742	−	0.749065i	0.0447120	−	0.0258145i
$843$	0.540131	+	2.01579i	0.0186031	+	0.0694277i
$844$	11.4584	+	6.61548i	0.394413	+	0.227714i
$845$	−3.21988	−	2.81492i	−0.110767	−	0.0968363i
$846$			0.881975i			0.0303229i
$847$	6.65891	+	0.999913i	0.228803	+	0.0343574i
$848$	42.0795			1.44502
$849$	−1.09516	+	0.632289i	−0.0375857	+	0.0217001i
$850$	−3.64632	+	0.977029i	−0.125068	+	0.0335118i
$851$	−1.82556	−	6.81308i	−0.0625794	−	0.233549i
$852$	15.7307	+	4.21503i	0.538925	+	0.144405i
$853$	15.3465	−	15.3465i	0.525455	−	0.525455i	−0.393759	−	0.919214i	$-0.628825\pi$
$853$	15.3465	−	15.3465i	0.525455	−	0.525455i	0.919214	+	0.393759i	$0.128825\pi$
$854$	1.65567	+	0.721273i	0.0566557	+	0.0246815i
$855$			1.06699i			0.0364903i
$856$	−3.51298	+	13.1106i	−0.120071	+	0.448111i
$857$	−18.4956	+	32.0354i	−0.631799	+	1.09431i	0.355385	+	0.934720i	$0.384350\pi$
$857$	−18.4956	+	32.0354i	−0.631799	+	1.09431i	−0.987184	+	0.159588i	$0.948983\pi$
$858$	−0.0782702	−	2.33541i	−0.00267210	−	0.0797296i
$859$	−39.1802	+	22.6207i	−1.33681	+	0.771808i	−0.986333	−	0.164763i	$-0.947314\pi$
$859$	−39.1802	+	22.6207i	−1.33681	+	0.771808i	−0.350478	+	0.936571i	$0.613981\pi$
$860$	−0.0678452	−	0.0678452i	−0.00231350	−	0.00231350i
$861$	2.08725	−	4.79124i	0.0711334	−	0.163285i
$862$		−	4.61885i		−	0.157319i
$863$	−5.88260	−	1.57624i	−0.200246	−	0.0536558i	0.157302	−	0.987551i	$-0.449720\pi$
$863$	−5.88260	−	1.57624i	−0.200246	−	0.0536558i	−0.357548	+	0.933895i	$0.616387\pi$
$864$	1.99910	−	0.535656i	0.0680106	−	0.0182234i
$865$	5.54277	−	1.48518i	0.188460	−	0.0504977i
$866$	−3.62117	−	0.970290i	−0.123052	−	0.0329718i
$867$		−	2.20441i		−	0.0748657i
$868$	6.46640	+	8.75155i	0.219484	+	0.297047i
$869$	−8.21866	−	8.21866i	−0.278799	−	0.278799i
$870$	−0.475294	+	0.274411i	−0.0161140	+	0.00930340i
$871$	−15.2798	+	16.3395i	−0.517735	+	0.553642i
$872$	3.90856	−	6.76983i	0.132361	−	0.229255i
$873$	4.20427	−	15.6906i	0.142293	−	0.531045i
$874$		−	1.69660i		−	0.0573884i
$875$	−8.55534	+	0.968734i	−0.289223	+	0.0327492i
$876$	−7.07359	+	7.07359i	−0.238994	+	0.238994i
$877$	18.6044	+	4.98504i	0.628227	+	0.168333i	0.558865	−	0.829259i	$-0.311237\pi$
$877$	18.6044	+	4.98504i	0.628227	+	0.168333i	0.0693618	+	0.997592i	$0.477904\pi$
$878$	−1.66951	−	6.23070i	−0.0563433	−	0.210276i
$879$	31.5367	−	8.45022i	1.06371	−	0.285019i
$880$	−4.00023	+	2.30954i	−0.134848	+	0.0778545i
$881$	−26.9256			−0.907146			−0.453573	−	0.891219i	$-0.649851\pi$
$881$	−26.9256			−0.907146			−0.453573	+	0.891219i	$0.649851\pi$
$882$	1.08918	−	0.577185i	0.0366745	−	0.0194348i
$883$		−	47.9303i		−	1.61298i	−0.591246	−	0.806492i	$-0.701364\pi$
$883$		−	47.9303i		−	1.61298i	0.591246	−	0.806492i	$-0.298636\pi$
$884$	−27.4490	−	14.6444i	−0.923208	−	0.492543i
$885$	2.86673	+	1.65511i	0.0963641	+	0.0556358i
$886$	−0.677602	−	2.52885i	−0.0227645	−	0.0849582i
$887$	24.5524	−	14.1753i	0.824390	−	0.475962i	−0.0275382	−	0.999621i	$-0.508767\pi$
$887$	24.5524	−	14.1753i	0.824390	−	0.475962i	0.851928	+	0.523659i	$0.175433\pi$
$888$	−1.65947			−0.0556883
$889$	14.8393	−	18.6290i	0.497694	−	0.624795i
$890$	−0.463036	+	0.463036i	−0.0155210	+	0.0155210i
$891$	−0.952547	+	3.55495i	−0.0319115	+	0.119095i
$892$	12.1211	+	45.2367i	0.405846	+	1.51464i
$893$	−8.12195	+	14.0676i	−0.271791	+	0.470755i
$894$	0.160482	+	0.277963i	0.00536732	+	0.00929646i
$895$	3.76366	−	3.76366i	0.125805	−	0.125805i
$896$	−11.5303	+	8.51956i	−0.385200	+	0.284618i
$897$	−5.66316	−	9.09134i	−0.189087	−	0.303551i
$898$	−2.98718	−	5.17395i	−0.0996836	−	0.172657i
$899$	19.1135	−	5.12144i	0.637470	−	0.170810i
$900$	4.81592	−	8.34142i	0.160531	−	0.278047i
$901$	−24.1689	−	41.8618i	−0.805183	−	1.39462i
$902$	0.905218	+	0.905218i	0.0301405	+	0.0301405i
$903$	0.364717	−	0.143373i	0.0121370	−	0.00477115i
$904$	9.68681	+	9.68681i	0.322178	+	0.322178i
$905$	−1.42476	+	5.31727i	−0.0473605	+	0.176752i
$906$	−3.01978	−	1.74347i	−0.100325	−	0.0579229i
$907$	−3.38596	−	1.95488i	−0.112429	−	0.0649109i	0.442731	−	0.896654i	$-0.354010\pi$
$907$	−3.38596	−	1.95488i	−0.112429	−	0.0649109i	−0.555160	+	0.831744i	$0.687343\pi$
$908$	−18.7473	−	5.02333i	−0.622152	−	0.166705i
$909$	0.946361			0.0313888
$910$	0.443557	+	0.329658i	0.0147038	+	0.0109281i
$911$	−34.3385			−1.13768			−0.568842	−	0.822447i	$-0.692608\pi$
$911$	−34.3385			−1.13768			−0.568842	+	0.822447i	$0.692608\pi$
$912$	11.9511	+	3.20228i	0.395740	+	0.106038i
$913$	−18.1216	−	10.4625i	−0.599739	−	0.346259i
$914$	−2.59102	−	1.49593i	−0.0857034	−	0.0494809i
$915$	0.330057	−	1.23179i	0.0109114	−	0.0407217i
$916$	0.792917	+	0.792917i	0.0261987	+	0.0261987i
$917$	8.42129	+	1.26456i	0.278096	+	0.0417593i
$918$	−0.545671	−	0.545671i	−0.0180098	−	0.0180098i
$919$	13.0978	+	22.6860i	0.432055	+	0.748341i	0.997050	−	0.0767529i	$-0.0244553\pi$
$919$	13.0978	+	22.6860i	0.432055	+	0.748341i	−0.564995	+	0.825094i	$0.691122\pi$
$920$	0.341532	−	0.591550i	0.0112600	−	0.0195028i
$921$	−9.40070	+	2.51891i	−0.309764	+	0.0830009i
$922$	2.10540	+	3.64665i	0.0693376	+	0.120096i
$923$	−29.0479	−	6.74923i	−0.956125	−	0.222154i
$924$	−2.15717	−	19.0509i	−0.0709656	−	0.626730i
$925$	−8.21288	+	8.21288i	−0.270038	+	0.270038i
$926$	−1.04788	−	1.81498i	−0.0344354	−	0.0596439i
$927$	−3.41272	+	5.91100i	−0.112088	+	0.194143i
$928$	5.07448	+	18.9382i	0.166578	+	0.621677i
$929$	−10.0577	+	37.5359i	−0.329983	+	1.23151i	0.579223	+	0.815169i	$0.303356\pi$
$929$	−10.0577	+	37.5359i	−0.329983	+	1.23151i	−0.909207	+	0.416345i	$0.863311\pi$
$930$	−0.0855660	+	0.0855660i	−0.00280582	+	0.00280582i
$931$	22.6877	+	0.823856i	0.743561	+	0.0270008i
$932$	6.49769			0.212839
$933$	−26.7328	+	15.4342i	−0.875193	+	0.505293i
$934$	0.0540192	+	0.201602i	0.00176756	+	0.00659663i
$935$	4.59518	+	2.65303i	0.150278	+	0.0867632i
$936$	−2.41090	+	0.733385i	−0.0788027	+	0.0239714i
$937$			0.703305i			0.0229760i	0.999934	+	0.0114880i	$0.00365682\pi$
$937$			0.703305i			0.0229760i	−0.999934	+	0.0114880i	$0.996343\pi$
$938$	1.80107	−	2.26103i	0.0588071	−	0.0738253i
$939$	14.4298			0.470898
$940$	−2.80974	+	1.62220i	−0.0916436	+	0.0529104i
$941$	24.7281	−	6.62588i	0.806114	−	0.215998i	0.167848	−	0.985813i	$-0.446318\pi$
$941$	24.7281	−	6.62588i	0.806114	−	0.215998i	0.638267	+	0.769815i	$0.279652\pi$
$942$	0.409156	+	1.52699i	0.0133310	+	0.0497520i
$943$	5.66802	+	1.51874i	0.184576	+	0.0494570i
$944$	27.1422	−	27.1422i	0.883402	−	0.883402i
$945$	−0.517260	−	0.700054i	−0.0168265	−	0.0227728i
$946$			0.0959943i			0.00312104i
$947$	10.4765	−	39.0989i	0.340441	−	1.27054i	−0.557407	−	0.830239i	$-0.688204\pi$
$947$	10.4765	−	39.0989i	0.340441	−	1.27054i	0.897848	−	0.440305i	$-0.145130\pi$
$948$	−3.10913	+	5.38518i	−0.100980	+	0.174902i
$949$	12.5118	−	13.3795i	0.406150	−	0.434318i
$950$	−2.41947	+	1.39688i	−0.0784981	+	0.0453209i
$951$	−5.69053	−	5.69053i	−0.184528	−	0.184528i
$952$	7.42918	+	3.23644i	0.240781	+	0.104894i
$953$		−	6.14308i		−	0.198994i	−0.995038	−	0.0994969i	$-0.968277\pi$
$953$		−	6.14308i		−	0.198994i	0.995038	−	0.0994969i	$-0.0317233\pi$
$954$	−1.87618	−	0.502722i	−0.0607437	−	0.0162762i
$955$	−5.51791	+	1.47852i	−0.178555	+	0.0478438i
$956$	3.95454	−	1.05961i	0.127899	−	0.0342704i
$957$	−33.6775	−	9.02385i	−1.08864	−	0.291700i
$958$		−	1.65938i		−	0.0536122i
$959$	35.0537	+	15.2708i	1.13194	+	0.493119i
$960$	1.69014	+	1.69014i	0.0545491	+	0.0545491i
$961$	−23.0684	+	13.3185i	−0.744140	+	0.429630i
$962$	1.50667	−	0.0504953i	0.0485770	−	0.00162803i
$963$	−9.71010	+	16.8184i	−0.312904	+	0.541965i
$964$	−7.61214	+	28.4089i	−0.245171	+	0.914989i
$965$		−	8.03159i		−	0.258546i
$966$	0.822486	+	1.11314i	0.0264631	+	0.0358148i
$967$	−14.7977	+	14.7977i	−0.475863	+	0.475863i	−0.903806	−	0.427943i	$-0.859239\pi$
$967$	−14.7977	+	14.7977i	−0.475863	+	0.475863i	0.427943	+	0.903806i	$0.359239\pi$
$968$	1.71817	+	0.460381i	0.0552239	+	0.0147972i
$969$	−3.67855	−	13.7285i	−0.118172	−	0.441024i
$970$	−0.909001	+	0.243566i	−0.0291863	+	0.00782044i
$971$	29.6565	−	17.1222i	0.951722	−	0.549477i	0.0581066	−	0.998310i	$-0.481494\pi$
$971$	29.6565	−	17.1222i	0.951722	−	0.549477i	0.893615	+	0.448833i	$0.148160\pi$
$972$	1.96899			0.0631554
$973$	−28.8954	+	36.2747i	−0.926345	+	1.16291i
$974$			4.35427i			0.139520i
$975$	−8.30218	+	15.5614i	−0.265882	+	0.498362i
$976$	−12.8064	−	7.39377i	−0.409923	−	0.236669i
$977$	10.0022	+	37.3285i	0.319997	+	1.19425i	0.919246	+	0.393683i	$0.128799\pi$
$977$	10.0022	+	37.3285i	0.319997	+	1.19425i	−0.599249	+	0.800563i	$0.704534\pi$
$978$	−0.765809	+	0.442140i	−0.0244879	+	0.0141381i
$979$	−41.6001			−1.32954
$980$	3.84207	+	2.40822i	0.122730	+	0.0769279i
$981$	7.90873	−	7.90873i	0.252506	−	0.252506i
$982$	0.634816	−	2.36917i	0.0202578	−	0.0756031i
$983$	−6.99648	−	26.1112i	−0.223153	−	0.832819i	−0.983136	−	0.182876i	$-0.941459\pi$
$983$	−6.99648	−	26.1112i	−0.223153	−	0.832819i	0.759983	−	0.649943i	$-0.225207\pi$
$984$	0.690284	−	1.19561i	0.0220055	−	0.0381146i
$985$	−0.419160	−	0.726006i	−0.0133555	−	0.0231325i
$986$	5.16935	−	5.16935i	0.164626	−	0.164626i
$987$	−1.49094	−	13.1672i	−0.0474572	−	0.419117i
$988$	−22.4273	−	5.21095i	−0.713508	−	0.165782i
$989$	0.220006	+	0.381062i	0.00699579	+	0.0121171i
$990$	0.205949	−	0.0551839i	0.00654549	−	0.00175386i
$991$	13.0139	−	22.5408i	0.413401	−	0.716031i	−0.581858	−	0.813290i	$-0.697674\pi$
$991$	13.0139	−	22.5408i	0.413401	−	0.716031i	0.995259	+	0.0972590i	$0.0310075\pi$
$992$	2.16148	+	3.74379i	0.0686269	+	0.118865i
$993$	−6.11142	−	6.11142i	−0.193940	−	0.193940i
$994$	3.81077	+	0.572233i	0.120870	+	0.0181501i
$995$	−2.95568	−	2.95568i	−0.0937013	−	0.0937013i
$996$	−2.89745	+	10.8134i	−0.0918094	+	0.342637i
$997$	−34.3138	−	19.8111i	−1.08673	−	0.627423i	−0.154024	−	0.988067i	$-0.549223\pi$
$997$	−34.3138	−	19.8111i	−1.08673	−	0.627423i	−0.932703	+	0.360645i	$0.882557\pi$
$998$	0.451063	+	0.260421i	0.0142781	+	0.00824349i
$999$	−2.29345	−	0.614527i	−0.0725615	−	0.0194428i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	273.2.bz.b.31.5	yes	36
3.2	odd	2		819.2.fn.g.577.5		36
7.5	odd	6		273.2.bz.a.187.5	yes	36
13.8	odd	4		273.2.bz.a.73.5	✓	36
21.5	even	6		819.2.fn.f.460.5		36
39.8	even	4		819.2.fn.f.73.5		36
91.47	even	12	inner	273.2.bz.b.229.5	yes	36
273.47	odd	12		819.2.fn.g.775.5		36

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
273.2.bz.a.73.5	✓	36	13.8	odd	4
273.2.bz.a.187.5	yes	36	7.5	odd	6
273.2.bz.b.31.5	yes	36	1.1	even	1	trivial
273.2.bz.b.229.5	yes	36	91.47	even	12	inner
819.2.fn.f.73.5		36	39.8	even	4
819.2.fn.f.460.5		36	21.5	even	6
819.2.fn.g.577.5		36	3.2	odd	2
819.2.fn.g.775.5		36	273.47	odd	12

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.bz (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.170094 - 0.0455765i) q^{2} +(0.866025 + 0.500000i) q^{3} +(-1.70520 - 0.984495i) q^{4} +(-0.0851485 + 0.317778i) q^{5} +(-0.124517 - 0.124517i) q^{6} +(2.06944 + 1.64846i) q^{7} +(0.494209 + 0.494209i) q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})\)	\(q+(-0.170094 - 0.0455765i) q^{2} +(0.866025 + 0.500000i) q^{3} +(-1.70520 - 0.984495i) q^{4} +(-0.0851485 + 0.317778i) q^{5} +(-0.124517 - 0.124517i) q^{6} +(2.06944 + 1.64846i) q^{7} +(0.494209 + 0.494209i) q^{8} +(0.500000 + 0.866025i) q^{9} +(0.0289665 - 0.0501714i) q^{10} +(3.55495 - 0.952547i) q^{11} +(-0.984495 - 1.70520i) q^{12} +(1.90635 + 3.06036i) q^{13} +(-0.276868 - 0.374711i) q^{14} +(-0.232630 + 0.232630i) q^{15} +(1.90745 + 3.30381i) q^{16} +(2.19114 - 3.79517i) q^{17} +(-0.0455765 - 0.170094i) q^{18} +(0.839413 - 3.13273i) q^{19} +(0.458046 - 0.458046i) q^{20} +(0.967960 + 2.46233i) q^{21} -0.648090 q^{22} +(-2.57268 + 1.48534i) q^{23} +(0.180893 + 0.675101i) q^{24} +(4.23639 + 2.44588i) q^{25} +(-0.184779 - 0.607434i) q^{26} +1.00000i q^{27} +(-1.90590 - 4.84830i) q^{28} -9.47339 q^{29} +(0.0501714 - 0.0289665i) q^{30} +(-2.01760 + 0.540613i) q^{31} +(-0.535656 - 1.99910i) q^{32} +(3.55495 + 0.952547i) q^{33} +(-0.545671 + 0.545671i) q^{34} +(-0.700054 + 0.517260i) q^{35} -1.96899i q^{36} +(-0.614527 + 2.29345i) q^{37} +(-0.285558 + 0.494601i) q^{38} +(0.120771 + 3.60353i) q^{39} +(-0.199130 + 0.114968i) q^{40} +(-1.39675 - 1.39675i) q^{41} +(-0.0524198 - 0.462943i) q^{42} -0.148119i q^{43} +(-6.99967 - 1.87556i) q^{44} +(-0.317778 + 0.0851485i) q^{45} +(0.505294 - 0.135393i) q^{46} +(-4.83788 - 1.29630i) q^{47} +3.81491i q^{48} +(1.56517 + 6.82277i) q^{49} +(-0.609110 - 0.609110i) q^{50} +(3.79517 - 2.19114i) q^{51} +(-0.237796 - 7.09531i) q^{52} +(5.51514 - 9.55250i) q^{53} +(0.0455765 - 0.170094i) q^{54} +1.21080i q^{55} +(0.208054 + 1.83742i) q^{56} +(2.29332 - 2.29332i) q^{57} +(1.61137 + 0.431764i) q^{58} +(-2.60418 - 9.71895i) q^{59} +(0.625703 - 0.167657i) q^{60} +(-3.35693 + 1.93813i) q^{61} +0.367820 q^{62} +(-0.392886 + 2.61642i) q^{63} -7.26537i q^{64} +(-1.13484 + 0.345213i) q^{65} +(-0.561263 - 0.324045i) q^{66} +(1.60585 + 5.99311i) q^{67} +(-7.47265 + 4.31434i) q^{68} -2.97067 q^{69} +(0.142650 - 0.0560768i) q^{70} +(-5.84852 + 5.84852i) q^{71} +(-0.180893 + 0.675101i) q^{72} +(-1.31494 - 4.90744i) q^{73} +(0.209055 - 0.362093i) q^{74} +(2.44588 + 4.23639i) q^{75} +(-4.51552 + 4.51552i) q^{76} +(8.92700 + 3.88895i) q^{77} +(0.143694 - 0.618443i) q^{78} +(-1.57905 - 2.73499i) q^{79} +(-1.21230 + 0.324833i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(0.173919 + 0.301237i) q^{82} +(-4.02033 - 4.02033i) q^{83} +(0.773589 - 5.15170i) q^{84} +(1.01945 + 1.01945i) q^{85} +(-0.00675074 + 0.0251941i) q^{86} +(-8.20420 - 4.73670i) q^{87} +(2.22765 + 1.28613i) q^{88} +(-10.9181 - 2.92550i) q^{89} +0.0579330 q^{90} +(-1.09979 + 9.47578i) q^{91} +5.84923 q^{92} +(-2.01760 - 0.540613i) q^{93} +(0.763812 + 0.440987i) q^{94} +(0.924040 + 0.533495i) q^{95} +(0.535656 - 1.99910i) q^{96} +(-11.4863 - 11.4863i) q^{97} +(0.0447319 - 1.23185i) q^{98} +(2.60241 + 2.60241i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 36 q + 4 q^{7} + 18 q^{9}+O(q^{10}) \) 36 * q + 4 * q^7 + 18 * q^9	\( 36 q + 4 q^{7} + 18 q^{9} + 4 q^{11} + 16 q^{12} - 36 q^{14} + 12 q^{16} - 4 q^{17} - 12 q^{19} - 44 q^{20} + 6 q^{21} - 8 q^{22} + 12 q^{23} - 18 q^{24} + 48 q^{25} - 28 q^{26} + 12 q^{28} - 16 q^{29} - 56 q^{32} + 4 q^{33} + 48 q^{34} + 8 q^{35} + 22 q^{37} - 16 q^{38} - 8 q^{39} + 60 q^{40} + 32 q^{41} + 12 q^{42} + 4 q^{44} - 44 q^{46} - 14 q^{47} - 6 q^{49} - 68 q^{50} + 12 q^{51} - 82 q^{52} - 8 q^{53} + 8 q^{56} - 6 q^{57} - 84 q^{58} + 70 q^{59} + 2 q^{60} + 36 q^{61} - 48 q^{62} + 2 q^{63} - 8 q^{65} + 38 q^{67} + 36 q^{68} + 8 q^{69} - 40 q^{70} - 36 q^{71} + 18 q^{72} - 46 q^{73} + 40 q^{74} - 10 q^{75} + 60 q^{76} - 60 q^{77} + 32 q^{78} - 38 q^{80} - 18 q^{81} - 24 q^{83} + 38 q^{84} + 44 q^{85} - 24 q^{86} + 36 q^{87} - 168 q^{88} + 38 q^{89} - 14 q^{91} - 40 q^{92} + 56 q^{96} - 36 q^{97} + 58 q^{98} + 8 q^{99}+O(q^{100}) \) 36 * q + 4 * q^7 + 18 * q^9 + 4 * q^11 + 16 * q^12 - 36 * q^14 + 12 * q^16 - 4 * q^17 - 12 * q^19 - 44 * q^20 + 6 * q^21 - 8 * q^22 + 12 * q^23 - 18 * q^24 + 48 * q^25 - 28 * q^26 + 12 * q^28 - 16 * q^29 - 56 * q^32 + 4 * q^33 + 48 * q^34 + 8 * q^35 + 22 * q^37 - 16 * q^38 - 8 * q^39 + 60 * q^40 + 32 * q^41 + 12 * q^42 + 4 * q^44 - 44 * q^46 - 14 * q^47 - 6 * q^49 - 68 * q^50 + 12 * q^51 - 82 * q^52 - 8 * q^53 + 8 * q^56 - 6 * q^57 - 84 * q^58 + 70 * q^59 + 2 * q^60 + 36 * q^61 - 48 * q^62 + 2 * q^63 - 8 * q^65 + 38 * q^67 + 36 * q^68 + 8 * q^69 - 40 * q^70 - 36 * q^71 + 18 * q^72 - 46 * q^73 + 40 * q^74 - 10 * q^75 + 60 * q^76 - 60 * q^77 + 32 * q^78 - 38 * q^80 - 18 * q^81 - 24 * q^83 + 38 * q^84 + 44 * q^85 - 24 * q^86 + 36 * q^87 - 168 * q^88 + 38 * q^89 - 14 * q^91 - 40 * q^92 + 56 * q^96 - 36 * q^97 + 58 * q^98 + 8 * q^99

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