LMFDB - Embedded newform 252.2.bb.a.11.20

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [252,2,Mod(11,252)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(252, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 1, 4]))

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

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

chi := DirichletCharacter("252.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 252 = 2^{2} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	252.bb (of order $6$, degree $2$, 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:	$2.01223013094$
Analytic rank:	$0$
Dimension:	$88$
Relative dimension:	$44$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			11.20
Character	$\chi$	$=$	252.11
Dual form			252.2.bb.a.23.20

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.237258 + 1.39417i) q^{2} +(1.62755 - 0.592510i) q^{3} +(-1.88742 - 0.661555i) q^{4} +(-0.722678 - 0.417239i) q^{5} +(0.439910 + 2.40966i) q^{6} +(2.04221 + 1.68208i) q^{7} +(1.37012 - 2.47442i) q^{8} +(2.29786 - 1.92868i) q^{9} +O(q^{10})$	\(q+(-0.237258 + 1.39417i) q^{2} +(1.62755 - 0.592510i) q^{3} +(-1.88742 - 0.661555i) q^{4} +(-0.722678 - 0.417239i) q^{5} +(0.439910 + 2.40966i) q^{6} +(2.04221 + 1.68208i) q^{7} +(1.37012 - 2.47442i) q^{8} +(2.29786 - 1.92868i) q^{9} +(0.753162 - 0.908543i) q^{10} +(1.61094 + 2.79023i) q^{11} +(-3.46385 + 0.0415973i) q^{12} +(2.03757 + 3.52917i) q^{13} +(-2.82963 + 2.44810i) q^{14} +(-1.42342 - 0.250884i) q^{15} +(3.12469 + 2.49726i) q^{16} +(-3.20251 - 1.84897i) q^{17} +(2.14373 + 3.66121i) q^{18} +(4.26091 - 2.46004i) q^{19} +(1.08797 + 1.26559i) q^{20} +(4.32045 + 1.52764i) q^{21} +(-4.27226 + 1.58392i) q^{22} +(-0.567320 + 0.982627i) q^{23} +(0.763832 - 4.83907i) q^{24} +(-2.15182 - 3.72707i) q^{25} +(-5.40370 + 2.00339i) q^{26} +(2.59713 - 4.50055i) q^{27} +(-2.74172 - 4.52581i) q^{28} +(-8.69963 - 5.02273i) q^{29} +(0.687491 - 1.92496i) q^{30} +2.10663i q^{31} +(-4.22296 + 3.76385i) q^{32} +(4.27513 + 3.58675i) q^{33} +(3.33760 - 4.02617i) q^{34} +(-0.774034 - 2.06769i) q^{35} +(-5.61296 + 2.12007i) q^{36} +(0.248579 + 0.430551i) q^{37} +(2.41878 + 6.52409i) q^{38} +(5.40732 + 4.53664i) q^{39} +(-2.02258 + 1.21654i) q^{40} +(-6.77313 + 3.91047i) q^{41} +(-3.15485 + 5.66100i) q^{42} +(-7.81676 - 4.51301i) q^{43} +(-1.19462 - 6.33205i) q^{44} +(-2.46534 + 0.435061i) q^{45} +(-1.23535 - 1.02408i) q^{46} +3.97056 q^{47} +(6.56525 + 2.21302i) q^{48} +(1.34124 + 6.87030i) q^{49} +(5.70670 - 2.11573i) q^{50} +(-6.30780 - 1.11178i) q^{51} +(-1.51100 - 8.00899i) q^{52} +(-1.36342 - 0.787173i) q^{53} +(5.65833 + 4.68863i) q^{54} -2.68858i q^{55} +(6.96025 - 2.74863i) q^{56} +(5.47726 - 6.52848i) q^{57} +(9.06660 - 10.9371i) q^{58} +0.0696596 q^{59} +(2.52061 + 1.41519i) q^{60} -1.29136 q^{61} +(-2.93700 - 0.499815i) q^{62} +(7.93691 - 0.0735976i) q^{63} +(-4.24552 - 6.78053i) q^{64} -3.40061i q^{65} +(-6.01484 + 5.10927i) q^{66} -13.2788i q^{67} +(4.82129 + 5.60842i) q^{68} +(-0.341127 + 1.93542i) q^{69} +(3.06635 - 0.588559i) q^{70} +2.68355 q^{71} +(-1.62402 - 8.32842i) q^{72} +(4.11468 - 7.12683i) q^{73} +(-0.659238 + 0.244409i) q^{74} +(-5.71054 - 4.79103i) q^{75} +(-9.66957 + 1.82429i) q^{76} +(-1.40350 + 8.40795i) q^{77} +(-7.60777 + 6.46237i) q^{78} +13.8287i q^{79} +(-1.21619 - 3.10846i) q^{80} +(1.56035 - 8.86371i) q^{81} +(-3.84488 - 10.3707i) q^{82} +(-2.75513 + 4.77203i) q^{83} +(-7.14388 - 5.74151i) q^{84} +(1.54293 + 2.67243i) q^{85} +(8.14649 - 9.82714i) q^{86} +(-17.1351 - 3.02015i) q^{87} +(9.11138 - 0.163180i) q^{88} +(6.82321 - 3.93938i) q^{89} +(-0.0216287 - 3.54032i) q^{90} +(-1.77519 + 10.6347i) q^{91} +(1.72083 - 1.47931i) q^{92} +(1.24820 + 3.42866i) q^{93} +(-0.942046 + 5.53563i) q^{94} -4.10569 q^{95} +(-4.64298 + 8.62802i) q^{96} +(-8.60311 + 14.9010i) q^{97} +(-9.89659 + 0.239885i) q^{98} +(9.08318 + 3.30457i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 88 q - 2 q^{4} - 6 q^{5} - 6 q^{6} - 2 q^{9}+O(q^{10}) $ 88 * q - 2 * q^4 - 6 * q^5 - 6 * q^6 - 2 * q^9	$ 88 q - 2 q^{4} - 6 q^{5} - 6 q^{6} - 2 q^{9} + 2 q^{10} + 6 q^{12} - 4 q^{13} - 18 q^{14} - 2 q^{16} + 2 q^{18} - 6 q^{20} - 6 q^{21} - 6 q^{22} - 14 q^{24} + 30 q^{25} + 6 q^{26} - 24 q^{29} - 29 q^{30} + 10 q^{33} - 4 q^{34} + 2 q^{36} - 4 q^{37} - 45 q^{38} - 4 q^{40} - 12 q^{41} - 46 q^{42} + 57 q^{44} - 18 q^{45} - 6 q^{46} - 43 q^{48} - 2 q^{49} + 9 q^{50} - 7 q^{52} + 23 q^{54} - 24 q^{56} - 28 q^{57} + 5 q^{58} - 19 q^{60} - 4 q^{61} - 8 q^{64} + 60 q^{66} - 12 q^{68} - 6 q^{69} - 27 q^{70} - 10 q^{72} - 4 q^{73} + 51 q^{74} - 6 q^{76} - 30 q^{77} + 55 q^{78} - 87 q^{80} - 34 q^{81} - 4 q^{82} - 55 q^{84} - 14 q^{85} + 81 q^{86} + 9 q^{88} - 60 q^{89} + 41 q^{90} + 24 q^{92} + 30 q^{93} - 18 q^{94} - 29 q^{96} - 4 q^{97} + 57 q^{98}+O(q^{100}) $ 88 * q - 2 * q^4 - 6 * q^5 - 6 * q^6 - 2 * q^9 + 2 * q^10 + 6 * q^12 - 4 * q^13 - 18 * q^14 - 2 * q^16 + 2 * q^18 - 6 * q^20 - 6 * q^21 - 6 * q^22 - 14 * q^24 + 30 * q^25 + 6 * q^26 - 24 * q^29 - 29 * q^30 + 10 * q^33 - 4 * q^34 + 2 * q^36 - 4 * q^37 - 45 * q^38 - 4 * q^40 - 12 * q^41 - 46 * q^42 + 57 * q^44 - 18 * q^45 - 6 * q^46 - 43 * q^48 - 2 * q^49 + 9 * q^50 - 7 * q^52 + 23 * q^54 - 24 * q^56 - 28 * q^57 + 5 * q^58 - 19 * q^60 - 4 * q^61 - 8 * q^64 + 60 * q^66 - 12 * q^68 - 6 * q^69 - 27 * q^70 - 10 * q^72 - 4 * q^73 + 51 * q^74 - 6 * q^76 - 30 * q^77 + 55 * q^78 - 87 * q^80 - 34 * q^81 - 4 * q^82 - 55 * q^84 - 14 * q^85 + 81 * q^86 + 9 * q^88 - 60 * q^89 + 41 * q^90 + 24 * q^92 + 30 * q^93 - 18 * q^94 - 29 * q^96 - 4 * q^97 + 57 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/252\mathbb{Z}\right)^\times$.

$n$	$29$	$73$	$127$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{2}{3}\right)$	$-1$

Coefficient data

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

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

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

$2$	−0.237258	+	1.39417i	−0.167767	+	0.985827i
$2$	−0.237258	+	1.39417i	−0.167767	+	0.985827i
$3$	1.62755	−	0.592510i	0.939669	−	0.342086i
$3$	1.62755	−	0.592510i	0.939669	−	0.342086i
$4$	−1.88742	−	0.661555i	−0.943709	−	0.330778i
$5$	−0.722678	−	0.417239i	−0.323192	−	0.186595i	0.329623	−	0.944113i	$-0.393078\pi$
$5$	−0.722678	−	0.417239i	−0.323192	−	0.186595i	−0.652814	+	0.757518i	$0.726412\pi$
$6$	0.439910	+	2.40966i	0.179592	+	0.983741i
$7$	2.04221	+	1.68208i	0.771883	+	0.635765i
$7$	2.04221	+	1.68208i	0.771883	+	0.635765i
$8$	1.37012	−	2.47442i	0.484412	−	0.874840i
$9$	2.29786	−	1.92868i	0.765954	−	0.642895i
$10$	0.753162	−	0.908543i	0.238171	−	0.287307i
$11$	1.61094	+	2.79023i	0.485716	+	0.841285i	0.999865	−	0.0164158i	$-0.00522554\pi$
$11$	1.61094	+	2.79023i	0.485716	+	0.841285i	−0.514149	+	0.857701i	$0.671892\pi$
$12$	−3.46385	+	0.0415973i	−0.999928	+	0.0120081i
$13$	2.03757	+	3.52917i	0.565120	+	0.978817i	0.997039	+	0.0769039i	$0.0245035\pi$
$13$	2.03757	+	3.52917i	0.565120	+	0.978817i	−0.431919	+	0.901913i	$0.642163\pi$
$14$	−2.82963	+	2.44810i	−0.756250	+	0.654283i
$15$	−1.42342	−	0.250884i	−0.367524	−	0.0647780i
$16$	3.12469	+	2.49726i	0.781172	+	0.624315i
$17$	−3.20251	−	1.84897i	−0.776724	−	0.448442i	0.0585440	−	0.998285i	$-0.481354\pi$
$17$	−3.20251	−	1.84897i	−0.776724	−	0.448442i	−0.835268	+	0.549843i	$0.814688\pi$
$18$	2.14373	+	3.66121i	0.505281	+	0.862955i
$19$	4.26091	−	2.46004i	0.977520	−	0.564371i	0.0759994	−	0.997108i	$-0.475785\pi$
$19$	4.26091	−	2.46004i	0.977520	−	0.564371i	0.901520	+	0.432737i	$0.142452\pi$
$20$	1.08797	+	1.26559i	0.243277	+	0.282996i
$21$	4.32045	+	1.52764i	0.942800	+	0.333358i
$22$	−4.27226	+	1.58392i	−0.910848	+	0.337692i
$23$	−0.567320	+	0.982627i	−0.118294	+	0.204892i	−0.919092	−	0.394043i	$-0.871076\pi$
$23$	−0.567320	+	0.982627i	−0.118294	+	0.204892i	0.800797	+	0.598935i	$0.204409\pi$
$24$	0.763832	−	4.83907i	0.155917	−	0.987770i
$25$	−2.15182	−	3.72707i	−0.430365	−	0.745414i
$26$	−5.40370	+	2.00339i	−1.05975	+	0.392898i
$27$	2.59713	−	4.50055i	0.499818	−	0.866130i
$28$	−2.74172	−	4.52581i	−0.518136	−	0.855298i
$29$	−8.69963	−	5.02273i	−1.61548	−	0.932698i	−0.988069	−	0.154010i	$-0.950781\pi$
$29$	−8.69963	−	5.02273i	−1.61548	−	0.932698i	−0.627411	−	0.778688i	$-0.715886\pi$
$30$	0.687491	−	1.92496i	0.125518	−	0.351448i
$31$			2.10663i			0.378362i	0.981942	+	0.189181i	$0.0605833\pi$
$31$			2.10663i			0.378362i	−0.981942	+	0.189181i	$0.939417\pi$
$32$	−4.22296	+	3.76385i	−0.746521	+	0.665361i
$33$	4.27513	+	3.58675i	0.744204	+	0.624373i
$34$	3.33760	−	4.02617i	0.572394	−	0.690482i
$35$	−0.774034	−	2.06769i	−0.130836	−	0.349503i
$36$	−5.61296	+	2.12007i	−0.935493	+	0.353345i
$37$	0.248579	+	0.430551i	0.0408661	+	0.0707822i	0.885735	−	0.464191i	$-0.153655\pi$
$37$	0.248579	+	0.430551i	0.0408661	+	0.0707822i	−0.844869	+	0.534973i	$0.820322\pi$
$38$	2.41878	+	6.52409i	0.392377	+	1.05835i
$39$	5.40732	+	4.53664i	0.865865	+	0.726444i
$40$	−2.02258	+	1.21654i	−0.319798	+	0.192352i
$41$	−6.77313	+	3.91047i	−1.05778	+	0.610712i	−0.924819	−	0.380408i	$-0.875783\pi$
$41$	−6.77313	+	3.91047i	−1.05778	+	0.610712i	−0.132966	+	0.991121i	$0.542450\pi$
$42$	−3.15485	+	5.66100i	−0.486804	+	0.873511i
$43$	−7.81676	−	4.51301i	−1.19204	−	0.688227i	−0.233275	−	0.972411i	$-0.574944\pi$
$43$	−7.81676	−	4.51301i	−1.19204	−	0.688227i	−0.958770	+	0.284184i	$0.908277\pi$
$44$	−1.19462	−	6.33205i	−0.180096	−	0.954592i
$45$	−2.46534	+	0.435061i	−0.367511	+	0.0648551i
$46$	−1.23535	−	1.02408i	−0.182142	−	0.150992i
$47$	3.97056			0.579166			0.289583	−	0.957153i	$-0.406483\pi$
$47$	3.97056			0.579166			0.289583	+	0.957153i	$0.406483\pi$
$48$	6.56525	+	2.21302i	0.947613	+	0.319422i
$49$	1.34124	+	6.87030i	0.191606	+	0.981472i
$50$	5.70670	−	2.11573i	0.807050	−	0.299210i
$51$	−6.30780	−	1.11178i	−0.883269	−	0.155680i
$52$	−1.51100	−	8.00899i	−0.209538	−	1.11065i
$53$	−1.36342	−	0.787173i	−0.187281	−	0.108127i	0.403428	−	0.915011i	$-0.367818\pi$
$53$	−1.36342	−	0.787173i	−0.187281	−	0.108127i	−0.590709	+	0.806885i	$0.701152\pi$
$54$	5.65833	+	4.68863i	0.770002	+	0.638042i
$55$		−	2.68858i		−	0.362528i
$56$	6.96025	−	2.74863i	0.930102	−	0.367301i
$57$	5.47726	−	6.52848i	0.725481	−	0.864718i
$58$	9.06660	−	10.9371i	1.19050	−	1.43611i
$59$	0.0696596			0.00906890			0.00453445	−	0.999990i	$-0.498557\pi$
$59$	0.0696596			0.00906890			0.00453445	+	0.999990i	$0.498557\pi$
$60$	2.52061	+	1.41519i	0.325409	+	0.182700i
$61$	−1.29136			−0.165342			−0.0826708	−	0.996577i	$-0.526345\pi$
$61$	−1.29136			−0.165342			−0.0826708	+	0.996577i	$0.526345\pi$
$62$	−2.93700	−	0.499815i	−0.372999	−	0.0634765i
$63$	7.93691	−	0.0735976i	0.999957	−	0.00927243i
$64$	−4.24552	−	6.78053i	−0.530690	−	0.847566i
$65$		−	3.40061i		−	0.421794i
$66$	−6.01484	+	5.10927i	−0.740376	+	0.628907i
$67$		−	13.2788i		−	1.62227i	−0.584860	−	0.811134i	$-0.698850\pi$
$67$		−	13.2788i		−	1.62227i	0.584860	−	0.811134i	$-0.301150\pi$
$68$	4.82129	+	5.60842i	0.584667	+	0.680121i
$69$	−0.341127	+	1.93542i	−0.0410669	+	0.232997i
$70$	3.06635	−	0.588559i	0.366499	−	0.0703463i
$71$	2.68355			0.318479			0.159240	−	0.987240i	$-0.449096\pi$
$71$	2.68355			0.318479			0.159240	+	0.987240i	$0.449096\pi$
$72$	−1.62402	−	8.32842i	−0.191392	−	0.981514i
$73$	4.11468	−	7.12683i	0.481587	−	0.834133i	−0.518190	−	0.855265i	$-0.673394\pi$
$73$	4.11468	−	7.12683i	0.481587	−	0.834133i	0.999777	+	0.0211330i	$0.00672734\pi$
$74$	−0.659238	+	0.244409i	−0.0766349	+	0.0284120i
$75$	−5.71054	−	4.79103i	−0.659396	−	0.553220i
$76$	−9.66957	+	1.82429i	−1.10918	+	0.209260i
$77$	−1.40350	+	8.40795i	−0.159944	+	0.958175i
$78$	−7.60777	+	6.46237i	−0.861411	+	0.731720i
$79$			13.8287i			1.55585i	0.628355	+	0.777927i	$0.283729\pi$
$79$			13.8287i			1.55585i	−0.628355	+	0.777927i	$0.716271\pi$
$80$	−1.21619	−	3.10846i	−0.135974	−	0.347536i
$81$	1.56035	−	8.86371i	0.173373	−	0.984856i
$82$	−3.84488	−	10.3707i	−0.424596	−	1.14525i
$83$	−2.75513	+	4.77203i	−0.302415	+	0.523799i	−0.976683	−	0.214689i	$-0.931126\pi$
$83$	−2.75513	+	4.77203i	−0.302415	+	0.523799i	0.674267	+	0.738487i	$0.264460\pi$
$84$	−7.14388	−	5.74151i	−0.779461	−	0.626450i
$85$	1.54293	+	2.67243i	0.167354	+	0.289865i
$86$	8.14649	−	9.82714i	0.878458	−	1.05969i
$87$	−17.1351	−	3.02015i	−1.83708	−	0.323794i
$88$	9.11138	−	0.163180i	0.971277	−	0.0173951i
$89$	6.82321	−	3.93938i	0.723259	−	0.417574i	−0.0926922	−	0.995695i	$-0.529547\pi$
$89$	6.82321	−	3.93938i	0.723259	−	0.417574i	0.815951	+	0.578121i	$0.196214\pi$
$90$	−0.0216287	−	3.54032i	−0.00227986	−	0.373183i
$91$	−1.77519	+	10.6347i	−0.186091	+	1.11482i
$92$	1.72083	−	1.47931i	0.179409	−	0.154229i
$93$	1.24820	+	3.42866i	0.129432	+	0.355535i
$94$	−0.942046	+	5.53563i	−0.0971647	+	0.570957i
$95$	−4.10569			−0.421235
$96$	−4.64298	+	8.62802i	−0.473872	+	0.880594i
$97$	−8.60311	+	14.9010i	−0.873513	+	1.51297i	−0.0151750	+	0.999885i	$0.504831\pi$
$97$	−8.60311	+	14.9010i	−0.873513	+	1.51297i	−0.858338	+	0.513084i	$0.828503\pi$
$98$	−9.89659	+	0.239885i	−0.999706	+	0.0242320i
$99$	9.08318	+	3.30457i	0.912894	+	0.332122i
$100$	1.59573	+	8.45808i	0.159573	+	0.845808i
$101$	2.83236	−	1.63527i	0.281831	−	0.162715i	−0.352421	−	0.935842i	$-0.614642\pi$
$101$	2.83236	−	1.63527i	0.281831	−	0.162715i	0.634252	+	0.773126i	$0.281308\pi$
$102$	3.04659	−	8.53037i	0.301657	−	0.844632i
$103$	−0.288760	−	0.166716i	−0.0284524	−	0.0164270i	0.485706	−	0.874122i	$-0.338562\pi$
$103$	−0.288760	−	0.166716i	−0.0284524	−	0.0164270i	−0.514159	+	0.857695i	$0.671896\pi$
$104$	11.5244	−	0.206396i	1.13006	−	0.0202388i
$105$	−2.48491	−	2.90665i	−0.242502	−	0.283660i
$106$	1.42094	−	1.71408i	0.138013	−	0.166486i
$107$	−7.79018	−	13.4930i	−0.753105	−	1.30442i	−0.946311	−	0.323258i	$-0.895222\pi$
$107$	−7.79018	−	13.4930i	−0.753105	−	1.30442i	0.193206	−	0.981158i	$-0.438111\pi$
$108$	−7.87923	+	6.77626i	−0.758179	+	0.652046i
$109$	−1.50755	+	2.61115i	−0.144397	+	0.250103i	−0.929148	−	0.369709i	$-0.879457\pi$
$109$	−1.50755	+	2.61115i	−0.144397	+	0.250103i	0.784751	+	0.619811i	$0.212791\pi$
$110$	3.74834	+	0.637887i	0.357390	+	0.0608201i
$111$	0.659681	+	0.553460i	0.0626142	+	0.0525321i
$112$	2.18069	+	10.3559i	0.206056	+	0.978540i
$113$	10.7370	−	6.19900i	1.01005	−	0.583153i	0.0988443	−	0.995103i	$-0.468485\pi$
$113$	10.7370	−	6.19900i	1.01005	−	0.583153i	0.911207	+	0.411950i	$0.135152\pi$
$114$	7.80228	+	9.18517i	0.730750	+	0.860270i
$115$	0.819980	−	0.473415i	0.0764635	−	0.0441462i
$116$	13.0970	+	15.2353i	1.21603	+	1.41456i
$117$	11.4887	+	4.17973i	1.06213	+	0.386416i
$118$	−0.0165273	+	0.0971172i	−0.00152146	+	0.00894037i
$119$	−3.43009	−	9.16286i	−0.314436	−	0.839958i
$120$	−2.57105	+	3.17839i	−0.234704	+	0.290146i
$121$	0.309756	−	0.536514i	0.0281597	−	0.0487740i
$122$	0.306385	−	1.80037i	0.0277388	−	0.162998i
$123$	−8.70664	+	10.3776i	−0.785051	+	0.935720i
$124$	1.39365	−	3.97609i	0.125154	−	0.357064i
$125$			7.76368i			0.694405i
$126$	−1.78049	+	11.0829i	−0.158618	+	0.987340i
$127$			9.17767i			0.814386i	0.913342	+	0.407193i	$0.133492\pi$
$127$			9.17767i			0.814386i	−0.913342	+	0.407193i	$0.866508\pi$
$128$	10.4605	−	4.31024i	0.924585	−	0.380975i
$129$	−15.3962	−	2.71365i	−1.35556	−	0.238924i
$130$	4.74103	+	0.806821i	0.415815	+	0.0707629i
$131$	−9.57613	+	16.5863i	−0.836671	+	1.44916i	0.0559923	+	0.998431i	$0.482168\pi$
$131$	−9.57613	+	16.5863i	−0.836671	+	1.44916i	−0.892663	+	0.450725i	$0.851166\pi$
$132$	−5.69612	−	9.59792i	−0.495783	−	0.835392i
$133$	12.8396	+	2.14326i	1.11334	+	0.185844i
$134$	18.5130	+	3.15051i	1.59928	+	0.272163i
$135$	−3.75469	+	2.16882i	−0.323152	+	0.186663i
$136$	−8.96298	+	5.39105i	−0.768569	+	0.462278i
$137$	−0.298303	+	0.172225i	−0.0254857	+	0.0147142i	−0.512689	−	0.858575i	$-0.671351\pi$
$137$	−0.298303	+	0.172225i	−0.0254857	+	0.0147142i	0.487203	+	0.873289i	$0.338017\pi$
$138$	−2.61737	−	0.934783i	−0.222805	−	0.0795740i
$139$	4.39815	−	2.53927i	0.373046	−	0.215378i	−0.301742	−	0.953390i	$-0.597568\pi$
$139$	4.39815	−	2.53927i	0.373046	−	0.215378i	0.674788	+	0.738011i	$0.264235\pi$
$140$	0.0930350	+	4.41466i	0.00786289	+	0.373107i
$141$	6.46230	−	2.35260i	0.544224	−	0.198124i
$142$	−0.636694	+	3.74133i	−0.0534302	+	0.313965i
$143$	−6.56480	+	11.3706i	−0.548976	+	0.950854i
$144$	11.9965	−	0.288173i	0.999712	−	0.0240145i
$145$	4.19136	+	7.25964i	0.348073	+	0.602880i
$146$	8.95977	+	7.42746i	0.741516	+	0.614701i
$147$	6.25367	+	10.3871i	0.515794	+	0.856713i
$148$	−0.184339	−	0.977078i	−0.0151525	−	0.0803153i
$149$	−11.1207	−	6.42054i	−0.911043	−	0.525991i	−0.0302766	−	0.999542i	$-0.509639\pi$
$149$	−11.1207	−	6.42054i	−0.911043	−	0.525991i	−0.880767	+	0.473550i	$0.842972\pi$
$150$	8.03437	−	6.82475i	0.656004	−	0.557238i
$151$	−7.60754	+	4.39222i	−0.619093	+	0.357434i	−0.776516	−	0.630098i	$-0.783015\pi$
$151$	−7.60754	+	4.39222i	−0.619093	+	0.357434i	0.157423	+	0.987531i	$0.449681\pi$
$152$	−0.249190	−	13.9138i	−0.0202120	−	1.12856i
$153$	−10.9250	+	1.92795i	−0.883236	+	0.155866i
$154$	−11.3891	−	3.95157i	−0.917761	−	0.318426i
$155$	0.878968	−	1.52242i	0.0706004	−	0.122283i
$156$	−7.20464	−	12.1398i	−0.576833	−	0.971960i
$157$	−18.3584			−1.46516			−0.732578	−	0.680683i	$-0.761683\pi$
$157$	−18.3584			−1.46516			−0.732578	+	0.680683i	$0.761683\pi$
$158$	−19.2796	−	3.28097i	−1.53380	−	0.261020i
$159$	−2.68545	−	0.473324i	−0.212970	−	0.0375370i
$160$	4.62227	−	0.958071i	0.365422	−	0.0757422i
$161$	−2.81144	+	1.05246i	−0.221572	+	0.0829451i
$162$	11.9873	+	4.27838i	0.941812	+	0.336141i
$163$	3.35074	−	1.93455i	0.262450	−	0.151526i	−0.363001	−	0.931789i	$-0.618248\pi$
$163$	3.35074	−	1.93455i	0.262450	−	0.151526i	0.625452	+	0.780263i	$0.284915\pi$
$164$	15.3707	−	2.89989i	1.20025	−	0.226443i
$165$	−1.59301	−	4.37581i	−0.124016	−	0.340656i
$166$	−5.99935	−	4.97333i	−0.465640	−	0.386005i
$167$	10.6866	+	18.5097i	0.826951	+	1.43232i	0.900419	+	0.435023i	$0.143260\pi$
$167$	10.6866	+	18.5097i	0.826951	+	1.43232i	−0.0734682	+	0.997298i	$0.523407\pi$
$168$	9.69958	−	8.59756i	0.748339	−	0.663316i
$169$	−1.80338	+	3.12354i	−0.138721	+	0.240272i
$170$	−4.09188	+	1.51705i	−0.313833	+	0.116352i
$171$	5.04635	−	13.8708i	0.385904	−	1.06073i
$172$	11.7679	+	13.6891i	0.897293	+	1.04379i
$173$		−	5.90399i		−	0.448872i	−0.974489	−	0.224436i	$-0.927946\pi$
$173$		−	5.90399i		−	0.448872i	0.974489	−	0.224436i	$-0.0720539\pi$
$174$	8.27605	−	23.1727i	0.627406	−	1.75672i
$175$	1.87474	−	11.2310i	0.141717	−	0.848983i
$176$	−1.93425	+	12.7415i	−0.145799	+	0.960429i
$177$	0.113375	−	0.0412740i	0.00852176	−	0.00310234i
$178$	3.87331	+	10.4474i	0.290317	+	0.783063i
$179$	8.36730	−	14.4926i	0.625401	−	1.08323i	−0.363062	−	0.931765i	$-0.618269\pi$
$179$	8.36730	−	14.4926i	0.625401	−	1.08323i	0.988463	−	0.151461i	$-0.0483979\pi$
$180$	4.94094	+	0.809815i	0.368276	+	0.0603600i
$181$	−4.58906			−0.341102			−0.170551	−	0.985349i	$-0.554555\pi$
$181$	−4.58906			−0.341102			−0.170551	+	0.985349i	$0.554555\pi$
$182$	−14.4053	−	4.99808i	−1.06779	−	0.370482i
$183$	−2.10176	+	0.765143i	−0.155366	+	0.0565610i
$184$	1.65413	+	2.75011i	0.121944	+	0.202741i
$185$		−	0.414866i		−	0.0305016i
$186$	−5.07627	+	0.926728i	−0.372210	+	0.0679510i
$187$		−	11.9143i		−	0.871262i
$188$	−7.49410	−	2.62674i	−0.546564	−	0.191575i
$189$	12.8741	−	4.82249i	0.936456	−	0.350784i
$190$	0.974107	−	5.72403i	0.0706691	−	0.415265i
$191$	16.9164			1.22403			0.612015	−	0.790846i	$-0.290359\pi$
$191$	16.9164			1.22403			0.612015	+	0.790846i	$0.290359\pi$
$192$	−10.9273	−	8.52017i	−0.788613	−	0.614890i
$193$	−2.55325			−0.183787			−0.0918933	−	0.995769i	$-0.529292\pi$
$193$	−2.55325			−0.183787			−0.0918933	+	0.995769i	$0.529292\pi$
$194$	−18.7334	−	15.5296i	−1.34498	−	1.11496i
$195$	−2.01490	−	5.53467i	−0.144290	−	0.396346i
$196$	2.01360	−	13.8544i	0.143829	−	0.989603i
$197$			3.44064i			0.245136i	0.992460	+	0.122568i	$0.0391129\pi$
$197$			3.44064i			0.245136i	−0.992460	+	0.122568i	$0.960887\pi$
$198$	−6.76218	+	11.8795i	−0.480568	+	0.844237i
$199$	18.2732	+	10.5500i	1.29535	+	0.747872i	0.979598	−	0.200969i	$-0.0644089\pi$
$199$	18.2732	+	10.5500i	1.29535	+	0.747872i	0.315755	+	0.948841i	$0.397742\pi$
$200$	−12.1706	+	0.217970i	−0.860592	+	0.0154128i
$201$	−7.86785	−	21.6120i	−0.554955	−	1.52440i
$202$	1.60784	+	4.33678i	0.113127	+	0.305135i
$203$	−9.31785	−	24.8909i	−0.653985	−	1.74700i
$204$	11.1699	+	6.27135i	0.782053	+	0.439082i
$205$	6.52639			0.455823
$206$	0.300940	−	0.363026i	0.0209675	−	0.0252932i
$207$	0.591554	+	3.35212i	0.0411158	+	0.232989i
$208$	−2.44650	+	16.1159i	−0.169634	+	1.11744i
$209$	13.7281	+	7.92594i	0.949594	+	0.548249i
$210$	4.64193	−	2.77476i	0.320323	−	0.191476i
$211$	−1.93567	+	1.11756i	−0.133257	+	0.0769359i	−0.565146	−	0.824991i	$-0.691180\pi$
$211$	−1.93567	+	1.11756i	−0.133257	+	0.0769359i	0.431890	+	0.901926i	$0.357847\pi$
$212$	2.05259	+	2.38770i	0.140973	+	0.163988i
$213$	4.36763	−	1.59003i	0.299265	−	0.108947i
$214$	20.6598	−	7.65951i	1.41227	−	0.523594i
$215$	3.76600	+	6.52291i	0.256839	+	0.444859i
$216$	−7.57785	−	12.5927i	−0.515607	−	0.856825i
$217$	−3.54351	+	4.30218i	−0.240549	+	0.292051i
$218$	−3.28270	−	2.72129i	−0.222333	−	0.184309i
$219$	2.47414	−	14.0373i	0.167187	−	0.948552i
$220$	−1.77865	+	5.07448i	−0.119916	+	0.342121i
$221$		−	15.0696i		−	1.01369i
$222$	−0.928131	+	0.788395i	−0.0622921	+	0.0529136i
$223$	−21.4374	−	12.3769i	−1.43556	−	0.828819i	−0.438020	−	0.898965i	$-0.644320\pi$
$223$	−21.4374	−	12.3769i	−1.43556	−	0.828819i	−0.997537	+	0.0701459i	$0.977654\pi$
$224$	−14.9553	+	0.583231i	−0.999240	+	0.0389687i
$225$	−12.1329	−	4.41410i	−0.808862	−	0.294274i
$226$	6.09503	+	16.4399i	0.405435	+	1.09357i
$227$	4.11692	+	7.13072i	0.273250	+	0.473282i	0.969692	−	0.244330i	$-0.0785682\pi$
$227$	4.11692	+	7.13072i	0.273250	+	0.473282i	−0.696442	+	0.717613i	$0.745235\pi$
$228$	−14.6568	+	8.69845i	−0.970672	+	0.576069i
$229$	10.7672	−	18.6493i	0.711516	−	1.23238i	−0.252772	−	0.967526i	$-0.581342\pi$
$229$	10.7672	−	18.6493i	0.711516	−	1.23238i	0.964288	−	0.264856i	$-0.0853243\pi$
$230$	0.465475	+	1.25551i	0.0306925	+	0.0827860i
$231$	2.69752	+	14.5160i	0.177484	+	0.955081i
$232$	−24.3479	+	14.6448i	−1.59852	+	0.961477i
$233$	−6.51116	+	3.75922i	−0.426560	+	0.246275i	−0.697880	−	0.716215i	$-0.745873\pi$
$233$	−6.51116	+	3.75922i	−0.426560	+	0.246275i	0.271320	+	0.962489i	$0.412540\pi$
$234$	−8.55304	+	15.0255i	−0.559130	+	0.982251i
$235$	−2.86944	−	1.65667i	−0.187181	−	0.108069i
$236$	−0.131477	−	0.0460836i	−0.00855840	−	0.00299979i
$237$	8.19366	+	22.5070i	0.532236	+	1.46199i
$238$	13.5884	−	2.60817i	0.880805	−	0.169063i
$239$	−7.03603	−	12.1868i	−0.455123	−	0.788296i	0.543572	−	0.839362i	$-0.317071\pi$
$239$	−7.03603	−	12.1868i	−0.455123	−	0.788296i	−0.998695	+	0.0510665i	$0.983738\pi$
$240$	−3.82121	−	4.33858i	−0.246658	−	0.280054i
$241$	6.02866	+	10.4420i	0.388340	+	0.672625i	0.992226	−	0.124445i	$-0.0397151\pi$
$241$	6.02866	+	10.4420i	0.388340	+	0.672625i	−0.603886	+	0.797071i	$0.706382\pi$
$242$	0.674499	+	0.559145i	0.0433585	+	0.0359432i
$243$	−2.71228	−	15.3507i	−0.173993	−	0.984747i
$244$	2.43733	+	0.854305i	0.156034	+	0.0546913i
$245$	1.89727	−	5.52464i	0.121212	−	0.352956i
$246$	−12.4025	−	14.6007i	−0.790753	−	0.930907i
$247$	17.3638	+	10.0250i	1.10483	+	0.637875i
$248$	5.21269	+	2.88635i	0.331006	+	0.183283i
$249$	−1.65665	+	9.39919i	−0.104986	+	0.595649i
$250$	−10.8239	−	1.84199i	−0.684563	−	0.116498i
$251$	21.1441			1.33461			0.667303	−	0.744786i	$-0.267449\pi$
$251$	21.1441			1.33461			0.667303	+	0.744786i	$0.267449\pi$
$252$	−15.0290	−	5.11180i	−0.946735	−	0.322013i
$253$	−3.65567			−0.229830
$254$	−12.7952	−	2.17747i	−0.802844	−	0.136627i
$255$	4.09463	+	3.43532i	0.256416	+	0.215128i
$256$	3.52737	+	15.6063i	0.220460	+	0.975396i
$257$	26.5623	+	15.3358i	1.65691	+	0.956619i	0.974128	+	0.225999i	$0.0725645\pi$
$257$	26.5623	+	15.3358i	1.65691	+	0.956619i	0.682784	+	0.730620i	$0.260769\pi$
$258$	7.43616	−	20.8211i	0.462955	−	1.29626i
$259$	−0.216570	+	1.29740i	−0.0134570	+	0.0806167i
$260$	−2.24969	+	6.41837i	−0.139520	+	0.398050i
$261$	−29.6778	+	5.23728i	−1.83701	+	0.324180i
$262$	−20.8522	−	17.2860i	−1.28825	−	1.06793i
$263$	−0.962159	−	1.66651i	−0.0593293	−	0.102761i	0.834835	−	0.550500i	$-0.185563\pi$
$263$	−0.962159	−	1.66651i	−0.0593293	−	0.102761i	−0.894165	+	0.447739i	$0.852230\pi$
$264$	14.7326	−	5.66417i	0.906727	−	0.348606i
$265$	0.656878	+	1.13775i	0.0403517	+	0.0698912i
$266$	−6.03438	+	17.3921i	−0.369991	+	1.06638i
$267$	8.77102	−	10.4544i	0.536778	−	0.639797i
$268$	−8.78469	+	25.0627i	−0.536610	+	1.53095i
$269$	4.77284	+	2.75560i	0.291005	+	0.168012i	0.638395	−	0.769709i	$-0.279599\pi$
$269$	4.77284	+	2.75560i	0.291005	+	0.168012i	−0.347390	+	0.937721i	$0.612932\pi$
$270$	−2.13288	−	5.74925i	−0.129803	−	0.349888i
$271$	14.7828	−	8.53488i	0.897993	−	0.518457i	0.0214448	−	0.999770i	$-0.493173\pi$
$271$	14.7828	−	8.53488i	0.897993	−	0.518457i	0.876549	+	0.481313i	$0.159840\pi$
$272$	−5.38950	−	13.7750i	−0.326786	−	0.835231i
$273$	3.41192	+	18.3603i	0.206499	+	1.11122i
$274$	−0.169337	−	0.456747i	−0.0102300	−	0.0275931i
$275$	6.93291	−	12.0082i	0.418070	−	0.724119i
$276$	1.92424	−	3.42727i	0.115826	−	0.206298i
$277$	−10.1047	−	17.5019i	−0.607135	−	1.05159i	−0.991710	−	0.128495i	$-0.958985\pi$
$277$	−10.1047	−	17.5019i	−0.607135	−	1.05159i	0.384575	−	0.923094i	$-0.374348\pi$
$278$	2.49668	+	6.73422i	0.149741	+	0.403892i
$279$	4.06303	+	4.84075i	0.243247	+	0.289808i
$280$	−6.17685	−	0.917705i	−0.369138	−	0.0548434i
$281$	13.9780	+	8.07021i	0.833858	+	0.481428i	0.855172	−	0.518345i	$-0.173452\pi$
$281$	13.9780	+	8.07021i	0.833858	+	0.481428i	−0.0213139	+	0.999773i	$0.506785\pi$
$282$	1.74669	+	9.56771i	0.104014	+	0.569749i
$283$			0.607762i			0.0361277i	0.999837	+	0.0180638i	$0.00575021\pi$
$283$			0.607762i			0.0361277i	−0.999837	+	0.0180638i	$0.994250\pi$
$284$	−5.06498	−	1.77532i	−0.300552	−	0.105346i
$285$	−6.68223	+	2.43266i	−0.395821	+	0.144099i
$286$	−14.2949	−	11.8502i	−0.845277	−	0.700717i
$287$	−20.4098	−	3.40692i	−1.20476	−	0.201104i
$288$	−2.44451	+	16.7936i	−0.144044	+	0.989571i
$289$	−1.66260	−	2.87971i	−0.0977999	−	0.169394i
$290$	−11.1156	+	4.12105i	−0.652731	+	0.241997i
$291$	−5.17302	+	29.3496i	−0.303248	+	1.72051i
$292$	−12.4809	+	10.7292i	−0.730390	+	0.627880i
$293$	−0.958441	+	0.553356i	−0.0559927	+	0.0323274i	−0.527735	−	0.849409i	$-0.676959\pi$
$293$	−0.958441	+	0.553356i	−0.0559927	+	0.0323274i	0.471742	+	0.881736i	$0.343625\pi$
$294$	−15.9651	+	6.25425i	−0.931103	+	0.364756i
$295$	−0.0503415	−	0.0290647i	−0.00293099	−	0.00169221i
$296$	1.40595	−	0.0251799i	0.0817191	−	0.00146355i
$297$	16.7414	−	0.00351466i	0.971432	−	0.000203941i
$298$	11.5898	−	13.9808i	0.671379	−	0.809887i
$299$	−4.62381			−0.267402
$300$	7.60864	+	12.8205i	0.439285	+	0.740192i
$301$	−8.37224	−	22.3649i	−0.482568	−	1.28909i
$302$	−4.31855	−	11.6483i	−0.248504	−	0.670284i
$303$	3.64091	−	4.33969i	0.209165	−	0.249309i
$304$	19.4574	+	2.95375i	1.11596	+	0.169409i
$305$	0.933237	+	0.538805i	0.0534370	+	0.0308519i
$306$	−0.0958464	−	15.6888i	−0.00547917	−	0.896867i
$307$			16.8834i			0.963589i	0.876284	+	0.481795i	$0.160015\pi$
$307$			16.8834i			0.963589i	−0.876284	+	0.481795i	$0.839985\pi$
$308$	8.21131	−	14.9408i	0.467883	−	0.851332i
$309$	−0.568753	−	0.100245i	−0.0323552	−	0.00570276i
$310$	1.91396	+	1.58664i	0.108706	+	0.0901148i
$311$	9.65548			0.547512			0.273756	−	0.961799i	$-0.411734\pi$
$311$	9.65548			0.547512			0.273756	+	0.961799i	$0.411734\pi$
$312$	18.6343	−	7.16424i	1.05496	−	0.405595i
$313$	−14.1167			−0.797921			−0.398960	−	0.916968i	$-0.630629\pi$
$313$	−14.1167			−0.797921			−0.398960	+	0.916968i	$0.630629\pi$
$314$	4.35566	−	25.5947i	0.245804	−	1.44439i
$315$	−5.76654	−	3.25840i	−0.324908	−	0.183590i
$316$	9.14847	−	26.1006i	0.514641	−	1.46827i
$317$			16.6773i			0.936689i	0.883546	+	0.468345i	$0.155149\pi$
$317$			16.6773i			0.936689i	−0.883546	+	0.468345i	$0.844851\pi$
$318$	1.29704	−	3.63168i	0.0727343	−	0.203654i
$319$		−	32.3653i		−	1.81211i
$320$	0.239045	+	6.67153i	0.0133630	+	0.372950i
$321$	−20.6737	−	17.3448i	−1.15389	−	0.968092i
$322$	−0.800265	−	4.16933i	−0.0445970	−	0.232347i
$323$	−18.1942			−1.01235
$324$	−8.80887	+	15.6973i	−0.489382	+	0.872070i
$325$	8.76898	−	15.1883i	0.486416	−	0.842496i
$326$	1.90210	+	5.13049i	0.105348	+	0.284152i
$327$	−0.906482	+	5.14302i	−0.0501286	+	0.284410i
$328$	0.396112	+	22.1174i	0.0218716	+	1.22123i
$329$	8.10872	+	6.67878i	0.447048	+	0.368213i
$330$	6.47858	−	1.18273i	0.356634	−	0.0651073i
$331$			5.37045i			0.295187i	0.989048	+	0.147593i	$0.0471527\pi$
$331$			5.37045i			0.295187i	−0.989048	+	0.147593i	$0.952847\pi$
$332$	8.35705	−	7.18415i	0.458653	−	0.394281i
$333$	1.40160	+	0.509917i	0.0768070	+	0.0279433i
$334$	−28.3411	+	10.5073i	−1.55076	+	0.574935i
$335$	−5.54044	+	9.59633i	−0.302707	+	0.524304i
$336$	9.68516	+	15.5627i	0.528369	+	0.849015i
$337$	−2.08402	−	3.60963i	−0.113524	−	0.196629i	0.803665	−	0.595082i	$-0.202881\pi$
$337$	−2.08402	−	3.60963i	−0.113524	−	0.196629i	−0.917189	+	0.398453i	$0.869547\pi$
$338$	−3.92688	−	3.25530i	−0.213594	−	0.177065i
$339$	13.8021	−	16.4510i	0.749625	−	0.893495i
$340$	−1.14419	−	6.06471i	−0.0620523	−	0.328905i
$341$	−5.87798	+	3.39365i	−0.318310	+	0.183777i
$342$	18.1409	+	10.3264i	0.980949	+	0.558389i
$343$	−8.81728	+	16.2867i	−0.476088	+	0.879398i
$344$	−21.8770	+	13.1586i	−1.17953	+	0.709462i
$345$	1.05406	−	1.25636i	0.0567486	−	0.0676399i
$346$	8.23116	+	1.40077i	0.442510	+	0.0753057i
$347$	12.5275			0.672511			0.336255	−	0.941771i	$-0.390839\pi$
$347$	12.5275			0.672511			0.336255	+	0.941771i	$0.390839\pi$
$348$	30.3432	+	17.0361i	1.62656	+	0.913232i
$349$	14.8357	−	25.6962i	0.794138	−	1.37549i	−0.129247	−	0.991612i	$-0.541256\pi$
$349$	14.8357	−	25.6962i	0.794138	−	1.37549i	0.923385	−	0.383875i	$-0.125411\pi$
$350$	15.2131	+	5.27834i	0.813175	+	0.282139i
$351$	21.1750	−	0.00444545i	1.13024	−	0.000237281i
$352$	−17.3049	−	5.71969i	−0.922356	−	0.304861i
$353$	3.77729	−	2.18082i	0.201045	−	0.116073i	−0.396098	−	0.918208i	$-0.629636\pi$
$353$	3.77729	−	2.18082i	0.201045	−	0.116073i	0.597143	+	0.802135i	$0.296303\pi$
$354$	0.0306439	+	0.167856i	0.00162871	+	0.00892145i
$355$	−1.93935	−	1.11968i	−0.102930	−	0.0594265i
$356$	−15.4844	+	2.92133i	−0.820670	+	0.154830i
$357$	−11.0118	−	12.8807i	−0.582804	−	0.681718i
$358$	18.2199	+	15.1039i	0.962952	+	0.798266i
$359$	13.4744	+	23.3383i	0.711151	+	1.23175i	0.964426	+	0.264355i	$0.0851590\pi$
$359$	13.4744	+	23.3383i	0.711151	+	1.23175i	−0.253275	+	0.967394i	$0.581508\pi$
$360$	−2.30129	+	6.69637i	−0.121289	+	0.352930i
$361$	2.60357	−	4.50952i	0.137030	−	0.237343i
$362$	1.08879	−	6.39792i	0.0572255	−	0.336267i
$363$	0.186255	−	1.05674i	0.00977587	−	0.0554644i
$364$	10.3859	−	18.8977i	0.544371	−	0.990506i
$365$	−5.94718	+	3.43360i	−0.311289	+	0.179723i
$366$	−0.568081	−	3.11174i	−0.0296941	−	0.162653i
$367$	−15.2842	+	8.82432i	−0.797827	+	0.460626i	−0.842711	−	0.538367i	$-0.819042\pi$
$367$	−15.2842	+	8.82432i	−0.797827	+	0.460626i	0.0448838	+	0.998992i	$0.485708\pi$
$368$	−4.22658	+	1.65366i	−0.220325	+	0.0862029i
$369$	−8.02166	+	22.0489i	−0.417591	+	1.14782i
$370$	0.578394	+	0.0984303i	0.0300693	+	0.00511715i
$371$	−1.46031	−	3.90095i	−0.0758156	−	0.202527i
$372$	−0.0876301	−	7.29706i	−0.00454341	−	0.378335i
$373$	8.31664	−	14.4048i	0.430619	−	0.745854i	−0.566307	−	0.824194i	$-0.691629\pi$
$373$	8.31664	−	14.4048i	0.430619	−	0.745854i	0.996927	+	0.0783397i	$0.0249619\pi$
$374$	16.6106	+	2.82677i	0.858913	+	0.146169i
$375$	4.60006	+	12.6358i	0.237546	+	0.652510i
$376$	5.44016	−	9.82484i	0.280555	−	0.506677i
$377$		−	40.9367i		−	2.10835i
$378$	3.66887	+	19.0929i	0.188706	+	0.982034i
$379$			12.2312i			0.628274i	0.949378	+	0.314137i	$0.101715\pi$
$379$			12.2312i			0.628274i	−0.949378	+	0.314137i	$0.898285\pi$
$380$	7.74915	+	2.71614i	0.397523	+	0.139335i
$381$	5.43786	+	14.9371i	0.278590	+	0.765253i
$382$	−4.01356	+	23.5844i	−0.205351	+	1.20668i
$383$	−5.48977	+	9.50856i	−0.280514	+	0.485865i	−0.971511	−	0.236993i	$-0.923838\pi$
$383$	−5.48977	+	9.50856i	−0.280514	+	0.485865i	0.690997	+	0.722857i	$0.257172\pi$
$384$	14.4712	−	13.2131i	0.738478	−	0.674278i
$385$	4.52240	−	5.49065i	0.230483	−	0.279829i
$386$	0.605777	−	3.55966i	0.0308333	−	0.181182i
$387$	−26.6660	+	4.70579i	−1.35551	+	0.239209i
$388$	26.0955	−	22.4330i	1.32480	−	1.13886i
$389$	−28.3742	+	16.3819i	−1.43863	+	0.830594i	−0.997755	−	0.0669746i	$-0.978665\pi$
$389$	−28.3742	+	16.3819i	−1.43863	+	0.830594i	−0.440876	+	0.897568i	$0.645332\pi$
$390$	8.19432	−	1.49596i	0.414936	−	0.0757509i
$391$	3.63370	−	2.09792i	0.183764	−	0.106096i
$392$	18.8377	+	6.09438i	0.951447	+	0.307813i
$393$	−5.75809	+	32.6691i	−0.290457	+	1.64794i
$394$	−4.79684	−	0.816320i	−0.241661	−	0.0411256i
$395$	5.76988	−	9.99372i	0.290314	−	0.502839i
$396$	−14.9576	−	12.2461i	−0.751648	−	0.615391i
$397$	5.06480	+	8.77250i	0.254195	+	0.440279i	0.964677	−	0.263437i	$-0.0848561\pi$
$397$	5.06480	+	8.77250i	0.254195	+	0.440279i	−0.710481	+	0.703716i	$0.751523\pi$
$398$	−19.0440	+	22.9729i	−0.954589	+	1.15153i
$399$	22.1671	−	4.11935i	1.10974	−	0.206225i
$400$	2.58368	−	17.0196i	0.129184	−	0.850980i
$401$	6.26532	+	3.61728i	0.312875	+	0.180638i	0.648212	−	0.761460i	$-0.275517\pi$
$401$	6.26532	+	3.61728i	0.312875	+	0.180638i	−0.335337	+	0.942098i	$0.608850\pi$
$402$	31.9975	−	5.84149i	1.59589	−	0.291347i
$403$	−7.43467	+	4.29241i	−0.370347	+	0.213820i
$404$	−6.42767	+	1.21266i	−0.319789	+	0.0603323i
$405$	−4.82591	+	5.75457i	−0.239802	+	0.285947i
$406$	36.9129	−	7.08510i	1.83196	−	0.351628i
$407$	−0.800890	+	1.38718i	−0.0396986	+	0.0687601i
$408$	−11.3935	+	14.0849i	−0.564062	+	0.697305i
$409$	13.5587			0.670436			0.335218	−	0.942141i	$-0.391190\pi$
$409$	13.5587			0.670436			0.335218	+	0.942141i	$0.391190\pi$
$410$	−1.54844	+	9.09889i	−0.0764718	+	0.449362i
$411$	−0.383459	+	0.457054i	−0.0189146	+	0.0225448i
$412$	0.434719	+	0.505693i	0.0214171	+	0.0249137i
$413$	0.142259	+	0.117173i	0.00700013	+	0.00576569i
$414$	−4.81378	+	0.0294085i	−0.236584	+	0.00144535i
$415$	3.98215	−	2.29910i	0.195476	−	0.112858i
$416$	−21.8879	−	7.23446i	−1.07314	−	0.354699i
$417$	5.65368	−	6.73875i	0.276862	−	0.329998i
$418$	−14.3072	+	17.2588i	−0.699788	+	0.844158i
$419$	7.76845	+	13.4554i	0.379514	+	0.657337i	0.990992	−	0.133925i	$-0.0427580\pi$
$419$	7.76845	+	13.4554i	0.379514	+	0.657337i	−0.611478	+	0.791262i	$0.709425\pi$
$420$	2.76715	+	7.12997i	0.135023	+	0.347907i
$421$	16.4578	−	28.5058i	0.802106	−	1.38929i	−0.116122	−	0.993235i	$-0.537046\pi$
$421$	16.4578	−	28.5058i	0.802106	−	1.38929i	0.918228	−	0.396053i	$-0.129620\pi$
$422$	−1.09881	−	2.96380i	−0.0534894	−	0.144275i
$423$	9.12380	−	7.65796i	0.443615	−	0.372343i
$424$	−3.81586	+	2.29516i	−0.185314	+	0.111463i
$425$			15.9147i			0.771974i
$426$	1.18052	+	6.46646i	0.0571964	+	0.313301i
$427$	−2.63723	−	2.17216i	−0.127624	−	0.105118i
$428$	5.77696	+	30.6205i	0.279240	+	1.48010i
$429$	−3.94739	+	22.3959i	−0.190582	+	1.08128i
$430$	−9.98755	+	3.70283i	−0.481642	+	0.178567i
$431$	4.19876	−	7.27246i	0.202247	−	0.350302i	−0.747005	−	0.664818i	$-0.768509\pi$
$431$	4.19876	−	7.27246i	0.202247	−	0.350302i	0.949252	+	0.314516i	$0.101842\pi$
$432$	19.3543	−	7.57709i	0.931183	−	0.364553i
$433$	−25.5642			−1.22853			−0.614267	−	0.789098i	$-0.710548\pi$
$433$	−25.5642			−1.22853			−0.614267	+	0.789098i	$0.710548\pi$
$434$	−5.15725	−	5.96098i	−0.247556	−	0.286136i
$435$	11.1231	+	9.33204i	0.533310	+	0.447437i
$436$	4.57279	−	3.93100i	0.218997	−	0.188261i
$437$			5.58251i			0.267048i
$438$	18.9834	+	6.77983i	0.907060	+	0.323953i
$439$			5.77745i			0.275742i	0.990450	+	0.137871i	$0.0440260\pi$
$439$			5.77745i			0.275742i	−0.990450	+	0.137871i	$0.955974\pi$
$440$	−6.65268	−	3.68369i	−0.317154	−	0.175613i
$441$	16.3326	+	13.2002i	0.777745	+	0.628580i
$442$	21.0096	+	3.57539i	0.999326	+	0.170064i
$443$	−11.7741			−0.559404			−0.279702	−	0.960087i	$-0.590236\pi$
$443$	−11.7741			−0.559404			−0.279702	+	0.960087i	$0.590236\pi$
$444$	−0.878950	−	1.48102i	−0.0417131	−	0.0702863i
$445$	−6.57465			−0.311668
$446$	22.3417	−	26.9509i	1.05791	−	1.27616i
$447$	−21.9038	−	3.86065i	−1.03601	−	0.182602i
$448$	2.73513	−	20.9885i	0.129223	−	0.991616i
$449$			17.9255i			0.845956i	0.906140	+	0.422978i	$0.139015\pi$
$449$			17.9255i			0.845956i	−0.906140	+	0.422978i	$0.860985\pi$
$450$	9.03264	−	15.8681i	0.425803	−	0.748029i
$451$	−21.8222	−	12.5990i	−1.02757	−	0.593266i
$452$	−24.3662	+	4.59700i	−1.14609	+	0.216225i
$453$	−9.77925	+	11.6561i	−0.459469	+	0.547652i
$454$	−10.9182	+	4.04787i	−0.512416	+	0.189976i
$455$	5.72008	−	6.94476i	0.268162	−	0.325575i
$456$	−8.64966	−	22.4979i	−0.405058	−	1.05356i
$457$	−24.9863			−1.16881			−0.584404	−	0.811463i	$-0.698672\pi$
$457$	−24.9863			−1.16881			−0.584404	+	0.811463i	$0.698672\pi$
$458$	23.4457	+	19.4360i	1.09555	+	0.908184i
$459$	−16.6387	+	9.61104i	−0.776630	+	0.448605i
$460$	−1.86083	+	0.351071i	−0.0867619	+	0.0163688i
$461$	11.9270	+	6.88605i	0.555495	+	0.320715i	0.751335	−	0.659920i	$-0.229410\pi$
$461$	11.9270	+	6.88605i	0.555495	+	0.320715i	−0.195840	+	0.980636i	$0.562743\pi$
$462$	−20.8777	+	0.316777i	−0.971320	+	0.0147378i
$463$	−21.7956	+	12.5837i	−1.01293	+	0.584814i	−0.912047	−	0.410085i	$-0.865499\pi$
$463$	−21.7956	+	12.5837i	−1.01293	+	0.584814i	−0.100880	+	0.994899i	$0.532166\pi$
$464$	−14.6406	−	37.4197i	−0.679671	−	1.73717i
$465$	0.528520	−	2.99861i	0.0245095	−	0.139057i
$466$	−3.69616	−	9.96956i	−0.171222	−	0.461831i
$467$	21.1486	+	36.6305i	0.978641	+	1.69506i	0.667356	+	0.744738i	$0.267426\pi$
$467$	21.1486	+	36.6305i	0.978641	+	1.69506i	0.311284	+	0.950317i	$0.399241\pi$
$468$	−18.9189	−	15.4893i	−0.874526	−	0.715994i
$469$	22.3360	−	27.1182i	1.03138	−	1.25220i
$470$	2.99048	−	3.60742i	0.137940	−	0.166398i
$471$	−29.8792	+	10.8775i	−1.37676	+	0.501210i
$472$	0.0954423	−	0.172367i	0.00439309	−	0.00793384i
$473$		−	29.0807i		−	1.33713i
$474$	−33.3226	+	6.08339i	−1.53056	+	0.279419i
$475$	−18.3375	−	10.5871i	−0.841380	−	0.485771i
$476$	0.412280	+	19.5633i	0.0188968	+	0.896684i
$477$	−4.65117	+	0.820798i	−0.212962	+	0.0375818i
$478$	18.6598	−	6.91801i	0.853477	−	0.316422i
$479$	−14.5705	−	25.2368i	−0.665741	−	1.15310i	−0.979084	−	0.203458i	$-0.934782\pi$
$479$	−14.5705	−	25.2368i	−0.665741	−	1.15310i	0.313343	−	0.949640i	$-0.398551\pi$
$480$	6.95532	−	4.29805i	0.317466	−	0.196178i
$481$	−1.01299	+	1.75455i	−0.0461885	+	0.0800008i
$482$	−15.9882	+	5.92755i	−0.728243	+	0.269992i
$483$	−3.95218	+	3.37873i	−0.179830	+	0.153738i
$484$	−0.939573	+	0.807705i	−0.0427079	+	0.0367139i
$485$	12.4346	−	7.17910i	0.564624	−	0.325986i
$486$	22.0450	−	0.139306i	0.999980	−	0.00631906i
$487$	−30.0519	−	17.3505i	−1.36178	−	0.786224i	−0.371920	−	0.928265i	$-0.621300\pi$
$487$	−30.0519	−	17.3505i	−1.36178	−	0.786224i	−0.989861	+	0.142040i	$0.954634\pi$
$488$	−1.76932	+	3.19536i	−0.0800935	+	0.144647i
$489$	4.30727	−	5.13394i	0.194782	−	0.232165i
$490$	7.25214	+	3.95588i	0.327618	+	0.178708i
$491$	−9.32230	−	16.1467i	−0.420710	−	0.728690i	0.575300	−	0.817943i	$-0.304886\pi$
$491$	−9.32230	−	16.1467i	−0.420710	−	0.728690i	−0.996009	+	0.0892526i	$0.971552\pi$
$492$	23.2984	−	13.8270i	1.05038	−	0.623370i
$493$	18.5738	+	32.1708i	0.836522	+	1.44890i
$494$	−18.0962	+	21.8296i	−0.814188	+	0.982159i
$495$	−5.18543	−	6.17799i	−0.233068	−	0.277680i
$496$	−5.26081	+	6.58257i	−0.236217	+	0.295566i
$497$	5.48038	+	4.51394i	0.245829	+	0.202478i
$498$	−12.7110	−	4.53968i	−0.569594	−	0.203428i
$499$	−15.7002	−	9.06451i	−0.702837	−	0.405783i	0.105566	−	0.994412i	$-0.466335\pi$
$499$	−15.7002	−	9.06451i	−0.702837	−	0.405783i	−0.808403	+	0.588629i	$0.799668\pi$
$500$	5.13610	−	14.6533i	0.229694	−	0.655316i
$501$	28.3601	+	23.7936i	1.26704	+	1.06302i
$502$	−5.01661	+	29.4785i	−0.223902	+	1.31569i
$503$	−23.0610			−1.02824			−0.514119	−	0.857719i	$-0.671881\pi$
$503$	−23.0610			−1.02824			−0.514119	+	0.857719i	$0.671881\pi$
$504$	10.6924	−	19.7401i	0.476280	−	0.879294i
$505$	−2.72918			−0.121447
$506$	0.867336	−	5.09662i	0.0385578	−	0.226573i
$507$	−1.08436	+	6.15225i	−0.0481583	+	0.273231i
$508$	6.07153	−	17.3221i	0.269381	−	0.768543i
$509$	−17.6556	−	10.1935i	−0.782572	−	0.451818i	0.0547688	−	0.998499i	$-0.482558\pi$
$509$	−17.6556	−	10.1935i	−0.782572	−	0.451818i	−0.837341	+	0.546681i	$0.815891\pi$
$510$	−5.76090	+	4.89356i	−0.255097	+	0.216690i
$511$	20.3909	−	7.63328i	0.902041	−	0.337677i
$512$	−22.5948	+	1.21502i	−0.998557	+	0.0536970i
$513$	−0.00536717	−	25.5655i	−0.000236966	−	1.12874i
$514$	−27.6828	+	33.3938i	−1.22103	+	1.47294i
$515$	0.139120	+	0.240963i	0.00613037	+	0.0106181i
$516$	27.2638	+	15.3072i	1.20022	+	0.673863i
$517$	6.39633	+	11.0788i	0.281310	+	0.487243i
$518$	−1.75742	−	0.609754i	−0.0772165	−	0.0267910i
$519$	−3.49817	−	9.60906i	−0.153553	−	0.421791i
$520$	−8.41454	−	4.65926i	−0.369002	−	0.204322i
$521$	3.66713	+	2.11722i	0.160660	+	0.0927571i	0.578174	−	0.815913i	$-0.303765\pi$
$521$	3.66713	+	2.11722i	0.160660	+	0.0927571i	−0.417514	+	0.908670i	$0.637099\pi$
$522$	−0.260367	−	42.6185i	−0.0113959	−	1.86536i
$523$	30.0719	−	17.3620i	1.31495	−	0.759188i	0.332040	−	0.943265i	$-0.392263\pi$
$523$	30.0719	−	17.3620i	1.31495	−	0.759188i	0.982912	+	0.184077i	$0.0589297\pi$
$524$	29.0469	−	24.9702i	1.26892	−	1.09083i
$525$	−3.60324	−	19.3898i	−0.157258	−	0.846242i
$526$	2.55168	−	0.946021i	0.111258	−	0.0412485i
$527$	3.89510	−	6.74652i	0.169673	−	0.293883i
$528$	4.40140	+	21.8836i	0.191546	+	0.952361i
$529$	10.8563	+	18.8037i	0.472013	+	0.817550i
$530$	−1.74206	+	0.645860i	−0.0756702	+	0.0280544i
$531$	0.160068	−	0.134351i	0.00694637	−	0.00583035i
$532$	−22.8159	−	12.5394i	−0.989194	−	0.543650i
$533$	−27.6014	−	15.9357i	−1.19555	−	0.690251i
$534$	12.4942	+	14.7087i	0.540676	+	0.636506i
$535$			13.0014i			0.562102i
$536$	−32.8574	−	18.1937i	−1.41923	−	0.785847i
$537$	5.03122	−	28.5452i	0.217113	−	1.23181i
$538$	−4.97417	+	6.00037i	−0.214452	+	0.258694i
$539$	−17.0090	+	14.8100i	−0.732632	+	0.637912i
$540$	8.52147	−	1.60954i	0.366706	−	0.0692635i
$541$	7.40181	+	12.8203i	0.318229	+	0.551188i	0.980119	−	0.198413i	$-0.0635787\pi$
$541$	7.40181	+	12.8203i	0.318229	+	0.551188i	−0.661890	+	0.749601i	$0.730245\pi$
$542$	8.39172	+	22.6347i	0.360455	+	0.972246i
$543$	−7.46894	+	2.71906i	−0.320523	+	0.116686i
$544$	20.4834	−	4.24565i	0.878217	−	0.182031i
$545$	2.17894	−	1.25801i	0.0933356	−	0.0538874i
$546$	−26.4069	+	0.400670i	−1.13011	+	0.0171471i
$547$	40.1566	+	23.1844i	1.71697	+	0.991294i	0.924318	+	0.381622i	$0.124634\pi$
$547$	40.1566	+	23.1844i	1.71697	+	0.991294i	0.792654	+	0.609672i	$0.208699\pi$
$548$	0.676959	−	0.127717i	0.0289182	−	0.00545581i
$549$	−2.96737	+	2.49062i	−0.126644	+	0.106297i
$550$	15.0965	+	12.5147i	0.643718	+	0.533628i
$551$	−49.4245			−2.10555
$552$	4.32166	+	3.49586i	0.183942	+	0.148794i
$553$	−23.2610	+	28.2412i	−0.989157	+	1.20094i
$554$	26.7981	−	9.93526i	1.13854	−	0.422109i
$555$	−0.245813	−	0.675218i	−0.0104342	−	0.0286614i
$556$	−9.98101	+	1.88305i	−0.423289	+	0.0798590i
$557$	19.7641	+	11.4108i	0.837433	+	0.483492i	0.856391	−	0.516328i	$-0.172701\pi$
$557$	19.7641	+	11.4108i	0.837433	+	0.483492i	−0.0189577	+	0.999820i	$0.506035\pi$
$558$	−7.71281	+	4.51604i	−0.326509	+	0.191179i
$559$		−	36.7823i		−	1.55572i
$560$	2.74494	−	8.39385i	0.115995	−	0.354705i
$561$	−7.05936	−	19.3912i	−0.298046	−	0.818697i
$562$	−14.5676	+	17.5730i	−0.614498	+	0.741272i
$563$	−25.8041			−1.08751			−0.543757	−	0.839243i	$-0.682999\pi$
$563$	−25.8041			−1.08751			−0.543757	+	0.839243i	$0.682999\pi$
$564$	−13.7534	+	0.165164i	−0.579124	+	0.00695467i
$565$	−10.3459			−0.435253
$566$	−0.847323	−	0.144196i	−0.0356156	−	0.00606102i
$567$	18.0960	−	15.4769i	0.759960	−	0.649969i
$568$	3.67680	−	6.64024i	0.154275	−	0.278618i
$569$		−	5.98781i		−	0.251022i	−0.992092	−	0.125511i	$-0.959943\pi$
$569$		−	5.98781i		−	0.251022i	0.992092	−	0.125511i	$-0.0400571\pi$
$570$	−1.80613	−	9.89333i	−0.0756506	−	0.414386i
$571$			19.9905i			0.836576i	0.908314	+	0.418288i	$0.137370\pi$
$571$			19.9905i			0.836576i	−0.908314	+	0.418288i	$0.862630\pi$
$572$	19.9128	−	17.1180i	0.832594	−	0.715740i
$573$	27.5324	−	10.0232i	1.15018	−	0.418724i
$574$	9.59222	−	27.6465i	0.400372	−	1.15394i
$575$	4.88309			0.203639
$576$	−22.8331	−	7.39247i	−0.951380	−	0.308020i
$577$	1.21653	−	2.10710i	0.0506449	−	0.0877196i	−0.839592	−	0.543218i	$-0.817206\pi$
$577$	1.21653	−	2.10710i	0.0506449	−	0.0877196i	0.890237	+	0.455499i	$0.150539\pi$
$578$	4.40926	−	1.63471i	0.183401	−	0.0679950i
$579$	−4.15554	+	1.51282i	−0.172699	+	0.0628708i
$580$	−3.10818	−	16.4748i	−0.129060	−	0.684078i
$581$	−13.6535	+	5.11115i	−0.566442	+	0.212046i
$582$	−39.6910	−	14.1755i	−1.64525	−	0.587593i
$583$		−	5.07235i		−	0.210075i
$584$	−11.9972	−	19.9461i	−0.496446	−	0.825375i
$585$	−6.55870	−	7.81414i	−0.271169	−	0.323075i
$586$	−0.544075	−	1.46752i	−0.0224755	−	0.0606226i
$587$	15.7756	−	27.3241i	0.651128	−	1.12779i	−0.331721	−	0.943377i	$-0.607629\pi$
$587$	15.7756	−	27.3241i	0.651128	−	1.12779i	0.982850	−	0.184409i	$-0.0590373\pi$
$588$	−4.93165	−	23.7419i	−0.203378	−	0.979100i
$589$	5.18239	+	8.97617i	0.213537	+	0.369856i
$590$	0.0524650	−	0.0632887i	0.00215995	−	0.00260555i
$591$	2.03862	+	5.59983i	0.0838575	+	0.230346i
$592$	−0.298467	+	1.96610i	−0.0122669	+	0.0808064i
$593$	−29.4235	+	16.9877i	−1.20828	+	0.697600i	−0.962383	−	0.271696i	$-0.912415\pi$
$593$	−29.4235	+	16.9877i	−1.20828	+	0.697600i	−0.245896	+	0.969296i	$0.579082\pi$
$594$	−3.96712	+	23.3411i	−0.162773	+	0.957698i
$595$	−1.34424	+	8.05297i	−0.0551087	+	0.330140i
$596$	16.7419	+	19.4752i	0.685773	+	0.797735i
$597$	35.9916	+	6.34370i	1.47304	+	0.259630i
$598$	1.09704	−	6.44638i	0.0448611	−	0.263612i
$599$	44.4987			1.81817			0.909084	−	0.416612i	$-0.136783\pi$
$599$	44.4987			1.81817			0.909084	+	0.416612i	$0.136783\pi$
$600$	−19.6792	+	7.56596i	−0.803398	+	0.308879i
$601$	9.53221	−	16.5103i	0.388827	−	0.673468i	−0.603465	−	0.797389i	$-0.706214\pi$
$601$	9.53221	−	16.5103i	0.388827	−	0.673468i	0.992292	+	0.123922i	$0.0395471\pi$
$602$	33.1668	−	6.36608i	1.35178	−	0.259462i
$603$	−25.6107	−	30.5130i	−1.04295	−	1.24258i
$604$	17.2643	−	3.25714i	0.702475	−	0.132531i
$605$	−0.447709	+	0.258485i	−0.0182019	+	0.0105089i
$606$	5.18643	+	6.10568i	0.210684	+	0.248026i
$607$	23.7247	+	13.6975i	0.962958	+	0.555964i	0.897082	−	0.441864i	$-0.145683\pi$
$607$	23.7247	+	13.6975i	0.962958	+	0.555964i	0.0658756	+	0.997828i	$0.479016\pi$
$608$	−8.73445	+	26.4261i	−0.354229	+	1.07172i
$609$	−29.9134	−	34.9904i	−1.21215	−	1.41788i
$610$	−0.972603	+	1.17325i	−0.0393795	+	0.0475037i
$611$	8.09029	+	14.0128i	0.327298	+	0.566897i
$612$	21.8955	+	3.58866i	0.885075	+	0.145063i
$613$	−22.2408	+	38.5222i	−0.898298	+	1.55590i	−0.0686300	+	0.997642i	$0.521863\pi$
$613$	−22.2408	+	38.5222i	−0.898298	+	1.55590i	−0.829668	+	0.558256i	$0.811471\pi$
$614$	−23.5384	−	4.00573i	−0.949932	−	0.161658i
$615$	10.6221	−	3.86695i	0.428322	−	0.155931i
$616$	18.8818	+	14.9928i	0.760771	+	0.604077i
$617$	12.5297	−	7.23402i	0.504426	−	0.291231i	−0.226113	−	0.974101i	$-0.572602\pi$
$617$	12.5297	−	7.23402i	0.504426	−	0.291231i	0.730539	+	0.682870i	$0.239269\pi$
$618$	0.274700	−	0.769154i	0.0110501	−	0.0309399i
$619$	12.8680	−	7.42935i	0.517209	−	0.298611i	−0.218583	−	0.975818i	$-0.570143\pi$
$619$	12.8680	−	7.42935i	0.517209	−	0.298611i	0.735792	+	0.677207i	$0.236810\pi$
$620$	−2.66614	+	2.29195i	−0.107075	+	0.0920469i
$621$	2.94895	+	5.10526i	0.118337	+	0.204867i
$622$	−2.29084	+	13.4614i	−0.0918542	+	0.539752i
$623$	20.5608	+	3.43211i	0.823750	+	0.137505i
$624$	5.56703	+	27.6791i	0.222860	+	1.10805i
$625$	−7.51981	+	13.0247i	−0.300793	+	0.520988i
$626$	3.34929	−	19.6810i	0.133864	−	0.786612i
$627$	27.0395	+	4.76584i	1.07985	+	0.190329i
$628$	34.6499	+	12.1451i	1.38268	+	0.484641i
$629$		−	1.83846i		−	0.0733043i
$630$	5.91092	−	7.26646i	0.235497	−	0.289503i
$631$			29.4851i			1.17378i	0.809666	+	0.586891i	$0.199648\pi$
$631$			29.4851i			1.17378i	−0.809666	+	0.586891i	$0.800352\pi$
$632$	34.2181	+	18.9471i	1.36112	+	0.753674i
$633$	−2.48824	+	2.96579i	−0.0988986	+	0.117880i
$634$	−23.2509	−	3.95681i	−0.923413	−	0.157145i
$635$	3.82928	−	6.63250i	0.151960	−	0.263203i
$636$	4.75544	+	2.66994i	0.188566	+	0.105870i
$637$	−21.5136	+	18.7322i	−0.852401	+	0.742196i
$638$	45.1227	+	7.67891i	1.78642	+	0.304011i
$639$	6.16644	−	5.17573i	0.243940	−	0.204749i
$640$	−9.35797	−	1.24961i	−0.369906	−	0.0493950i
$641$	6.38437	−	3.68602i	0.252168	−	0.145589i	−0.368589	−	0.929593i	$-0.620159\pi$
$641$	6.38437	−	3.68602i	0.252168	−	0.145589i	0.620756	+	0.784004i	$0.286826\pi$
$642$	29.0866	−	24.7074i	1.14796	−	0.975124i
$643$	14.1342	−	8.16036i	0.557397	−	0.321813i	−0.194703	−	0.980862i	$-0.562374\pi$
$643$	14.1342	−	8.16036i	0.557397	−	0.321813i	0.752100	+	0.659049i	$0.229041\pi$
$644$	6.00262	−	0.126500i	0.236536	−	0.00498479i
$645$	9.99426	+	8.38499i	0.393524	+	0.330159i
$646$	4.31671	−	25.3658i	0.169839	−	0.998002i
$647$	−1.41719	+	2.45464i	−0.0557153	+	0.0965017i	−0.892538	−	0.450972i	$-0.851077\pi$
$647$	−1.41719	+	2.45464i	−0.0557153	+	0.0965017i	0.836823	+	0.547474i	$0.184411\pi$
$648$	−19.7947	−	16.0054i	−0.777608	−	0.628750i
$649$	0.112217	+	0.194366i	0.00440491	+	0.00762953i
$650$	19.0946	+	15.8290i	0.748951	+	0.620864i
$651$	−3.21817	+	9.10160i	−0.126130	+	0.356720i
$652$	−7.60406	+	1.43461i	−0.297798	+	0.0561835i
$653$	−19.8617	−	11.4671i	−0.777247	−	0.448744i	0.0582066	−	0.998305i	$-0.481462\pi$
$653$	−19.8617	−	11.4671i	−0.777247	−	0.448744i	−0.835454	+	0.549561i	$0.814795\pi$
$654$	−6.95517	−	2.48401i	−0.271969	−	0.0971325i
$655$	13.8409	−	7.99106i	0.540810	−	0.312237i
$656$	−30.9294	−	4.69528i	−1.20759	−	0.183320i
$657$	−4.29044	−	24.3124i	−0.167386	−	0.948517i
$658$	−11.2352	+	9.72033i	−0.437994	+	0.378938i
$659$	−13.8038	+	23.9089i	−0.537720	+	0.931359i	0.461306	+	0.887241i	$0.347381\pi$
$659$	−13.8038	+	23.9089i	−0.537720	+	0.931359i	−0.999026	+	0.0441177i	$0.985952\pi$
$660$	0.111838	+	9.31285i	0.00435327	+	0.362502i
$661$	−31.1472			−1.21148			−0.605742	−	0.795661i	$-0.707124\pi$
$661$	−31.1472			−1.21148			−0.605742	+	0.795661i	$0.707124\pi$
$662$	−7.48732	−	1.27418i	−0.291003	−	0.0495225i
$663$	−8.92892	−	24.5267i	−0.346770	−	0.952536i
$664$	8.03314	+	13.3556i	0.311746	+	0.518299i
$665$	−8.38468	−	6.90608i	−0.325144	−	0.267806i
$666$	−1.04345	+	1.83308i	−0.0404329	+	0.0710305i
$667$	9.87095	−	5.69899i	0.382205	−	0.220666i
$668$	−7.92484	−	42.0052i	−0.306621	−	1.62523i
$669$	−42.2240	−	7.44219i	−1.63248	−	0.287732i
$670$	−12.0644	−	10.0011i	−0.466088	−	0.386377i
$671$	−2.08030	−	3.60318i	−0.0803090	−	0.139099i
$672$	−23.9949	+	9.81038i	−0.925624	+	0.378444i
$673$	−8.88948	+	15.3970i	−0.342664	+	0.593512i	−0.984927	−	0.172973i	$-0.944663\pi$
$673$	−8.88948	+	15.3970i	−0.342664	+	0.593512i	0.642262	+	0.766485i	$0.277996\pi$
$674$	5.52689	−	2.04907i	0.212888	−	0.0789271i
$675$	−22.3624	+	0.00469473i	−0.860730	+	0.000180700i
$676$	5.47012	−	4.70239i	0.210389	−	0.180861i
$677$		−	40.3413i		−	1.55044i	−0.631690	−	0.775221i	$-0.717639\pi$
$677$		−	40.3413i		−	1.55044i	0.631690	−	0.775221i	$-0.282361\pi$
$678$	19.6608	+	23.1455i	0.755069	+	0.888899i
$679$	−42.6340	+	15.9599i	−1.63614	+	0.612486i
$680$	8.72670	−	0.156291i	0.334654	−	0.00599349i
$681$	10.9255	+	9.16631i	0.418667	+	0.351254i
$682$	−3.33673	−	9.00007i	−0.127770	−	0.344630i
$683$	12.8385	−	22.2369i	0.491250	−	0.850870i	−0.508699	−	0.860944i	$-0.669873\pi$
$683$	12.8385	−	22.2369i	0.491250	−	0.850870i	0.999949	+	0.0100743i	$0.00320680\pi$
$684$	−18.7009	+	22.8415i	−0.715045	+	0.873367i
$685$	0.287436			0.0109824
$686$	−20.6144	−	16.1569i	−0.787062	−	0.616874i
$687$	6.47427	−	36.7324i	0.247009	−	1.40143i
$688$	−13.1548	−	33.6222i	−0.501521	−	1.28184i
$689$		−	6.41568i		−	0.244418i
$690$	1.50149	+	1.76762i	0.0571607	+	0.0672920i
$691$			9.38760i			0.357121i	0.983929	+	0.178561i	$0.0571440\pi$
$691$			9.38760i			0.357121i	−0.983929	+	0.178561i	$0.942856\pi$
$692$	−3.90581	+	11.1433i	−0.148477	+	0.423604i
$693$	12.9912	+	22.0272i	0.493496	+	0.836745i
$694$	−2.97224	+	17.4654i	−0.112825	+	0.662979i
$695$	−4.23793			−0.160754
$696$	−30.9504	+	38.2616i	−1.17317	+	1.45030i
$697$	28.9214			1.09548
$698$	32.3050	+	26.7801i	1.22276	+	1.01364i
$699$	−8.36988	+	9.97626i	−0.316578	+	0.377337i
$700$	−10.9683	+	19.9573i	−0.414564	+	0.754316i
$701$			22.1516i			0.836655i	0.908296	+	0.418327i	$0.137383\pi$
$701$			22.1516i			0.836655i	−0.908296	+	0.418327i	$0.862617\pi$
$702$	−5.01775	+	29.5226i	−0.189383	+	1.11426i
$703$	2.11834	+	1.22303i	0.0798948	+	0.0461273i
$704$	12.0800	−	22.7690i	0.455280	−	0.858138i
$705$	−5.65176	−	0.996150i	−0.212858	−	0.0375172i
$706$	2.14424	+	5.78360i	0.0806996	+	0.217669i
$707$	8.53492	+	1.42469i	0.320989	+	0.0535812i
$708$	−0.241290	+	0.00289765i	−0.00906825	+	0.000108900i
$709$	13.8545			0.520318			0.260159	−	0.965566i	$-0.416225\pi$
$709$	13.8545			0.520318			0.260159	+	0.965566i	$0.416225\pi$
$710$	2.02115	−	2.43812i	0.0758524	−	0.0915011i
$711$	26.6713	+	31.7765i	1.00025	+	1.19171i
$712$	−0.399041	−	22.2809i	−0.0149547	−	0.835013i
$713$	−2.07003	−	1.19513i	−0.0775233	−	0.0447581i
$714$	20.5705	−	12.2962i	0.769831	−	0.460174i
$715$	9.48847	−	5.47817i	0.354849	−	0.204872i
$716$	−25.3802	+	21.8181i	−0.948503	+	0.815382i
$717$	−18.6723	−	15.6657i	−0.697329	−	0.585046i
$718$	−35.7345	+	13.2484i	−1.33360	+	0.494425i
$719$	−8.60856	−	14.9105i	−0.321045	−	0.556066i	0.659659	−	0.751565i	$-0.270701\pi$
$719$	−8.60856	−	14.9105i	−0.321045	−	0.556066i	−0.980704	+	0.195499i	$0.937367\pi$
$720$	−8.78988	−	4.79716i	−0.327579	−	0.178780i
$721$	−0.309280	−	0.826184i	−0.0115182	−	0.0307687i
$722$	5.66931	+	4.69974i	0.210990	+	0.174906i
$723$	15.9989	+	13.4228i	0.595007	+	0.499199i
$724$	8.66147	+	3.03591i	0.321901	+	0.112829i
$725$			43.2322i			1.60560i
$726$	1.42908	+	0.510391i	0.0530383	+	0.0189424i
$727$	25.3409	+	14.6306i	0.939841	+	0.542617i	0.889910	−	0.456135i	$-0.150767\pi$
$727$	25.3409	+	14.6306i	0.939841	+	0.542617i	0.0499304	+	0.998753i	$0.484100\pi$
$728$	23.8824	+	18.9634i	0.885140	+	0.702830i
$729$	−13.5098	−	23.3770i	−0.500364	−	0.865815i
$730$	−3.37601	−	9.10602i	−0.124952	−	0.337029i
$731$	16.6889	+	28.9060i	0.617260	+	1.06913i
$732$	4.47307	−	0.0537170i	0.165330	−	0.00198544i
$733$	12.5790	−	21.7875i	0.464616	−	0.804739i	−0.534568	−	0.845126i	$-0.679526\pi$
$733$	12.5790	−	21.7875i	0.464616	−	0.804739i	0.999184	+	0.0403864i	$0.0128589\pi$
$734$	−8.67631	−	23.4024i	−0.320248	−	0.863797i
$735$	−0.185496	−	10.1158i	−0.00684211	−	0.373127i
$736$	−1.30269	−	6.28491i	−0.0480178	−	0.231665i
$737$	37.0510	−	21.3914i	1.36479	−	0.787962i
$738$	−28.8368	−	16.4148i	−1.06150	−	0.604239i
$739$	−7.22239	−	4.16985i	−0.265680	−	0.153390i	0.361243	−	0.932472i	$-0.382353\pi$
$739$	−7.22239	−	4.16985i	−0.265680	−	0.153390i	−0.626923	+	0.779081i	$0.715686\pi$
$740$	−0.274457	+	0.783026i	−0.0100892	+	0.0287846i
$741$	34.2004	+	6.02799i	1.25638	+	0.221444i
$742$	5.78506	−	1.11039i	0.212376	−	0.0407637i
$743$	−4.45643	−	7.71876i	−0.163490	−	0.283174i	0.772628	−	0.634859i	$-0.218942\pi$
$743$	−4.45643	−	7.71876i	−0.163490	−	0.283174i	−0.936118	+	0.351686i	$0.885609\pi$
$744$	10.1941	+	1.60911i	0.373735	+	0.0589929i
$745$	5.35779	+	9.27997i	0.196294	+	0.339992i
$746$	18.1096	+	15.0125i	0.663040	+	0.549645i
$747$	2.87282	+	16.2793i	0.105111	+	0.595627i
$748$	−7.88198	+	22.4873i	−0.288194	+	0.822217i
$749$	6.78705	−	40.6592i	0.247993	−	1.48565i
$750$	−18.7079	+	3.41532i	−0.683114	+	0.124710i
$751$	−2.28982	−	1.32203i	−0.0835567	−	0.0482415i	0.457640	−	0.889138i	$-0.348695\pi$
$751$	−2.28982	−	1.32203i	−0.0835567	−	0.0482415i	−0.541196	+	0.840896i	$0.682028\pi$
$752$	12.4068	+	9.91553i	0.452428	+	0.361582i
$753$	34.4132	−	12.5281i	1.25409	−	0.456550i
$754$	57.0727	+	9.71254i	2.07846	+	0.353710i
$755$	7.33041			0.266781
$756$	−27.4892	+	0.585085i	−0.999774	+	0.0212793i
$757$	−7.03030			−0.255521			−0.127760	−	0.991805i	$-0.540779\pi$
$757$	−7.03030			−0.255521			−0.127760	+	0.991805i	$0.540779\pi$
$758$	−17.0523	−	2.90194i	−0.619369	−	0.105403i
$759$	−5.94980	+	2.16602i	−0.215964	+	0.0786216i
$760$	−5.62531	+	10.1592i	−0.204051	+	0.368513i
$761$	5.74214	+	3.31522i	0.208152	+	0.120177i	0.600452	−	0.799661i	$-0.294987\pi$
$761$	5.74214	+	3.31522i	0.208152	+	0.120177i	−0.392300	+	0.919837i	$0.628321\pi$
$762$	−22.1151	+	4.03735i	−0.801145	+	0.146258i
$763$	−7.47087	+	2.79670i	−0.270464	+	0.101247i
$764$	−31.9284	−	11.1912i	−1.15513	−	0.404882i
$765$	8.69970	+	3.16505i	0.314538	+	0.114433i
$766$	−11.9541	−	9.90965i	−0.431918	−	0.358050i
$767$	0.141936	+	0.245841i	0.00512502	+	0.00887679i
$768$	14.9879	+	23.3101i	0.540829	+	0.841133i
$769$	7.78773	+	13.4887i	0.280833	+	0.486417i	0.971590	−	0.236670i	$-0.0760561\pi$
$769$	7.78773	+	13.4887i	0.280833	+	0.486417i	−0.690757	+	0.723087i	$0.742723\pi$
$770$	6.58192	+	7.60769i	0.237196	+	0.274162i
$771$	52.3182	+	9.22134i	1.88419	+	0.332098i
$772$	4.81904	+	1.68911i	0.173441	+	0.0607925i
$773$	−14.6607	−	8.46438i	−0.527310	−	0.304443i	0.212610	−	0.977137i	$-0.431804\pi$
$773$	−14.6607	−	8.46438i	−0.527310	−	0.304443i	−0.739920	+	0.672694i	$0.765137\pi$
$774$	−0.233944	−	38.2934i	−0.00840893	−	1.37643i
$775$	7.85156	−	4.53310i	0.282036	−	0.162834i
$776$	25.0841	+	41.7040i	0.900465	+	1.49708i
$777$	0.416246	+	2.23991i	0.0149328	+	0.0803565i
$778$	−16.1071	−	43.4452i	−0.577467	−	1.55759i
$779$	−19.2398	+	33.3243i	−0.689337	+	1.19397i
$780$	0.141456	+	11.7792i	0.00506494	+	0.421763i
$781$	4.32304	+	7.48772i	0.154690	+	0.267932i
$782$	2.06273	+	5.56374i	0.0737631	+	0.198959i
$783$	−45.1991	+	26.1084i	−1.61528	+	0.933037i
$784$	−12.9660	+	24.8170i	−0.463071	+	0.886321i
$785$	13.2672	+	7.65982i	0.473526	+	0.273391i
$786$	−44.1802	−	15.7788i	−1.57585	−	0.562810i
$787$			42.1561i			1.50270i	0.659902	+	0.751352i	$0.270598\pi$
$787$			42.1561i			1.50270i	−0.659902	+	0.751352i	$0.729402\pi$
$788$	2.27618	−	6.49393i	0.0810854	−	0.231337i
$789$	−2.55339	−	2.14224i	−0.0909031	−	0.0762659i
$790$	12.5640	+	10.4153i	0.447007	+	0.370559i
$791$	32.3544	+	5.40076i	1.15039	+	0.192029i
$792$	20.6220	−	17.9479i	0.732770	−	0.637752i
$793$	−2.63123	−	4.55743i	−0.0934378	−	0.161839i
$794$	−13.4320	+	4.97985i	−0.476684	+	0.176728i
$795$	1.74323	+	1.46254i	0.0618260	+	0.0518708i
$796$	−27.5097	−	32.0010i	−0.975056	−	1.13425i
$797$	−20.8601	+	12.0436i	−0.738902	+	0.426605i	−0.821670	−	0.569964i	$-0.806957\pi$
$797$	−20.8601	+	12.0436i	−0.738902	+	0.426605i	0.0827680	+	0.996569i	$0.473624\pi$
$798$	0.483745	+	31.8821i	0.0171244	+	1.12861i
$799$	−12.7158	−	7.34146i	−0.449852	−	0.259722i
$800$	23.1152	+	7.64013i	0.817246	+	0.270119i
$801$	8.08098	−	22.2120i	0.285527	−	0.784822i
$802$	−6.52960	+	7.87668i	−0.230568	+	0.278135i
$803$	26.5140			0.935658
$804$	0.552363	+	45.9959i	0.0194804	+	1.62215i
$805$	2.47089	+	0.412454i	0.0870875	+	0.0145371i
$806$	−4.22041	−	11.3836i	−0.148658	−	0.400970i
$807$	9.40078	+	1.65693i	0.330923	+	0.0583268i
$808$	−0.165645	−	9.24898i	−0.00582736	−	0.325378i
$809$	32.6788	+	18.8671i	1.14892	+	0.663332i	0.948625	−	0.316403i	$-0.102475\pi$
$809$	32.6788	+	18.8671i	1.14892	+	0.663332i	0.200300	+	0.979735i	$0.435808\pi$
$810$	−6.87786	−	8.09346i	−0.241663	−	0.284375i
$811$		−	24.1642i		−	0.848521i	−0.905540	−	0.424260i	$-0.860534\pi$
$811$		−	24.1642i		−	0.848521i	0.905540	−	0.424260i	$-0.139466\pi$
$812$	1.11996	+	53.1438i	0.0393029	+	1.86498i
$813$	19.0029	−	22.6500i	0.666460	−	0.794368i
$814$	−1.74395	−	1.44570i	−0.0611254	−	0.0506716i
$815$	−3.22868			−0.113096
$816$	−16.9335	−	19.2262i	−0.592791	−	0.673052i
$817$	−44.4087			−1.55366
$818$	−3.21692	+	18.9032i	−0.112477	+	0.660934i
$819$	16.4317	+	27.8608i	0.574172	+	0.973534i
$820$	−12.3180	−	4.31757i	−0.430164	−	0.150776i
$821$			14.4066i			0.502795i	0.967884	+	0.251397i	$0.0808901\pi$
$821$			14.4066i			0.502795i	−0.967884	+	0.251397i	$0.919110\pi$
$822$	−0.546231	−	0.643046i	−0.0190520	−	0.0224288i
$823$		−	34.0135i		−	1.18564i	−0.805336	−	0.592818i	$-0.798015\pi$
$823$		−	34.0135i		−	1.18564i	0.805336	−	0.592818i	$-0.201985\pi$
$824$	−0.808162	+	0.486092i	−0.0281536	+	0.0169338i
$825$	4.16873	−	23.6517i	0.145137	−	0.823448i
$826$	−0.197111	+	0.170534i	−0.00685836	+	0.00593362i
$827$	−21.2801			−0.739982			−0.369991	−	0.929035i	$-0.620639\pi$
$827$	−21.2801			−0.739982			−0.369991	+	0.929035i	$0.620639\pi$
$828$	1.10111	−	6.71820i	0.0382661	−	0.233474i
$829$	8.62653	−	14.9416i	0.299612	−	0.518943i	−0.676435	−	0.736502i	$-0.736476\pi$
$829$	8.62653	−	14.9416i	0.299612	−	0.518943i	0.976047	+	0.217559i	$0.0698095\pi$
$830$	2.26053	+	6.09727i	0.0784643	+	0.211639i
$831$	−26.8161	−	22.4982i	−0.930240	−	0.780453i
$832$	15.2791	−	28.7990i	0.529709	−	0.998424i
$833$	8.40766	−	24.4822i	0.291308	−	0.848257i
$834$	8.05358	+	9.48101i	0.278873	+	0.328300i
$835$		−	17.8354i		−	0.617219i
$836$	−20.6673	−	24.0415i	−0.714792	−	0.831491i
$837$	9.48099	+	5.47120i	0.327711	+	0.189112i
$838$	−20.6022	+	7.63815i	−0.711690	+	0.263856i
$839$	12.4500	−	21.5640i	0.429820	−	0.744470i	−0.567037	−	0.823692i	$-0.691910\pi$
$839$	12.4500	−	21.5640i	0.429820	−	0.744470i	0.996857	+	0.0792220i	$0.0252436\pi$
$840$	−10.5969	+	2.16623i	−0.365628	+	0.0747422i
$841$	35.9557	+	62.2771i	1.23985	+	2.14749i
$842$	35.8372	+	29.7082i	1.23503	+	1.02381i
$843$	27.5316	+	4.85258i	0.948240	+	0.167132i
$844$	4.39274	−	0.828748i	0.151204	−	0.0285267i
$845$	2.60652	−	1.50488i	0.0896671	−	0.0517693i
$846$	8.51180	+	14.5370i	0.292642	+	0.499794i
$847$	1.53504	−	0.574640i	0.0527448	−	0.0197449i
$848$	−2.29450	−	5.86450i	−0.0787934	−	0.201388i
$849$	0.360105	+	0.989165i	0.0123588	+	0.0339480i
$850$	−22.1877	−	3.77588i	−0.761033	−	0.129512i
$851$	−0.564095			−0.0193369
$852$	−9.29543	+	0.111628i	−0.318456	+	0.00382433i
$853$	2.07188	−	3.58860i	0.0709397	−	0.122871i	−0.828374	−	0.560176i	$-0.810734\pi$
$853$	2.07188	−	3.58860i	0.0709397	−	0.122871i	0.899313	+	0.437305i	$0.144067\pi$
$854$	3.65407	−	3.16138i	0.125040	−	0.108180i
$855$	−9.43431	+	7.91858i	−0.322647	+	0.270810i
$856$	−44.0608	+	0.789108i	−1.50597	+	0.0269712i
$857$	−27.7469	+	16.0197i	−0.947815	+	0.547221i	−0.892401	−	0.451242i	$-0.850981\pi$
$857$	−27.7469	+	16.0197i	−0.947815	+	0.547221i	−0.0554134	+	0.998463i	$0.517648\pi$
$858$	−30.2871	−	10.8169i	−1.03399	−	0.369284i
$859$	5.05245	+	2.91704i	0.172387	+	0.0995280i	0.583711	−	0.811961i	$-0.301600\pi$
$859$	5.05245	+	2.91704i	0.172387	+	0.0995280i	−0.411324	+	0.911489i	$0.634933\pi$
$860$	−2.79275	−	14.8029i	−0.0952321	−	0.504774i
$861$	−35.2368	+	6.54810i	−1.20087	+	0.223159i
$862$	9.14286	+	7.57923i	0.311407	+	0.258150i
$863$	−19.0028	−	32.9139i	−0.646864	−	1.12040i	−0.983868	−	0.178898i	$-0.942747\pi$
$863$	−19.0028	−	32.9139i	−0.646864	−	1.12040i	0.337003	−	0.941504i	$-0.390587\pi$
$864$	5.97180	+	28.7809i	0.203165	+	0.979145i
$865$	−2.46337	+	4.26668i	−0.0837571	+	0.145072i
$866$	6.06530	−	35.6408i	0.206107	−	1.21112i
$867$	−4.41222	−	3.70177i	−0.149847	−	0.125719i
$868$	9.53422	−	5.77578i	0.323613	−	0.196043i
$869$	−38.5853	+	22.2772i	−1.30892	+	0.755703i
$870$	−15.6495	+	13.2933i	−0.530567	+	0.450687i
$871$	46.8633	−	27.0566i	1.58790	−	0.916777i
$872$	4.39555	+	7.30790i	0.148852	+	0.247477i
$873$	8.97060	+	50.8332i	0.303609	+	1.72044i
$874$	−7.78297	−	1.32450i	−0.263263	−	0.0448017i
$875$	−13.0591	+	15.8551i	−0.441478	+	0.535999i
$876$	−13.9562	+	24.8574i	−0.471536	+	0.839855i
$877$	−2.94780	+	5.10574i	−0.0995402	+	0.172409i	−0.911494	−	0.411312i	$-0.865071\pi$
$877$	−2.94780	+	5.10574i	−0.0995402	+	0.172409i	0.811954	+	0.583721i	$0.198404\pi$
$878$	−8.05474	−	1.37074i	−0.271834	−	0.0462604i
$879$	−1.23204	+	1.46850i	−0.0415558	+	0.0495314i
$880$	6.71409	−	8.40098i	0.226332	−	0.283197i
$881$		−	35.1050i		−	1.18272i	−0.806408	−	0.591359i	$-0.798592\pi$
$881$		−	35.1050i		−	1.18272i	0.806408	−	0.591359i	$-0.201408\pi$
$882$	−22.2783	+	19.6386i	−0.750151	+	0.661267i
$883$		−	8.65372i		−	0.291221i	−0.989342	−	0.145610i	$-0.953485\pi$
$883$		−	8.65372i		−	0.291221i	0.989342	−	0.145610i	$-0.0465146\pi$
$884$	−9.96940	+	28.4427i	−0.335307	+	0.956632i
$885$	−0.0991545	−	0.0174765i	−0.00333304	−	0.000587465i
$886$	2.79350	−	16.4151i	0.0938493	−	0.551475i
$887$	10.0633	−	17.4302i	0.337893	−	0.585247i	−0.646143	−	0.763216i	$-0.723619\pi$
$887$	10.0633	−	17.4302i	0.337893	−	0.585247i	0.984036	+	0.177969i	$0.0569526\pi$
$888$	2.27334	−	0.874020i	0.0762882	−	0.0293302i
$889$	−15.4375	+	18.7427i	−0.517758	+	0.628611i
$890$	1.55989	−	9.16617i	0.0522875	−	0.307251i
$891$	27.2454	−	9.92515i	0.912755	−	0.332505i
$892$	32.2734	+	37.5424i	1.08059	+	1.25701i
$893$	16.9182	−	9.76773i	0.566146	−	0.326864i
$894$	10.5792	−	29.6216i	0.353823	−	0.990695i
$895$	−12.0937	+	6.98232i	−0.404249	+	0.233393i
$896$	28.6127	+	8.79293i	0.955882	+	0.293751i
$897$	−7.52551	+	2.73966i	−0.251269	+	0.0914745i
$898$	−24.9912	−	4.25296i	−0.833966	−	0.141923i
$899$	10.5810	−	18.3269i	0.352898	−	0.611237i
$900$	19.9797	+	16.3579i	0.665991	+	0.545262i
$901$	2.91092	+	5.04187i	0.0969769	+	0.167969i
$902$	22.7427	−	27.4346i	0.757248	−	0.913472i
$903$	−26.8777	−	31.4394i	−0.894434	−	1.04624i
$904$	−0.627930	−	35.0612i	−0.0208846	−	1.16612i
$905$	3.31641	+	1.91473i	0.110241	+	0.0636478i
$906$	−13.9304	−	16.3994i	−0.462807	−	0.544835i
$907$	−23.1334	+	13.3561i	−0.768132	+	0.443481i	−0.832208	−	0.554464i	$-0.812923\pi$
$907$	−23.1334	+	13.3561i	−0.768132	+	0.443481i	0.0640756	+	0.997945i	$0.479590\pi$
$908$	−3.05299	−	16.1822i	−0.101317	−	0.537025i
$909$	3.35447	−	9.22036i	0.111261	−	0.305820i
$910$	8.32503	+	9.62246i	0.275972	+	0.318982i
$911$	16.6755	−	28.8829i	0.552485	−	0.956932i	−0.445610	−	0.895227i	$-0.647013\pi$
$911$	16.6755	−	28.8829i	0.552485	−	0.956932i	0.998094	−	0.0617044i	$-0.0196536\pi$
$912$	33.4181	−	6.72130i	1.10658	−	0.222564i
$913$	−17.7534			−0.587552
$914$	5.92818	−	34.8351i	0.196087	−	1.15224i
$915$	1.83814	+	0.323981i	0.0607670	+	0.0107105i
$916$	−32.6597	+	28.0760i	−1.07911	+	0.927656i
$917$	−47.4560	+	17.7650i	−1.56713	+	0.586653i
$918$	−9.45175	−	25.4775i	−0.311954	−	0.840883i
$919$	−1.30767	+	0.754984i	−0.0431361	+	0.0249046i	−0.521413	−	0.853304i	$-0.674595\pi$
$919$	−1.30767	+	0.754984i	−0.0431361	+	0.0249046i	0.478277	+	0.878209i	$0.341262\pi$
$920$	−0.0479548	−	2.67761i	−0.00158102	−	0.0882783i
$921$	10.0036	+	27.4787i	0.329630	+	0.905455i
$922$	−12.4301	+	14.9945i	−0.409363	+	0.493817i
$923$	5.46792	+	9.47072i	0.179979	+	0.311733i
$924$	4.51177	−	29.1823i	0.148426	−	0.960026i
$925$	1.06980	−	1.85294i	0.0351747	−	0.0609243i
$926$	−12.3726	−	33.3723i	−0.406590	−	1.09668i
$927$	−0.985073	+	0.173837i	−0.0323540	+	0.00570956i
$928$	55.6430	−	11.5333i	1.82657	−	0.378599i
$929$		−	23.2938i		−	0.764246i	−0.924112	−	0.382123i	$-0.875193\pi$
$929$		−	23.2938i		−	0.764246i	0.924112	−	0.382123i	$-0.124807\pi$
$930$	4.05518	+	1.44829i	0.132975	+	0.0474913i
$931$	22.6161	+	25.9742i	0.741213	+	0.851271i
$932$	14.7762	−	2.78772i	0.484011	−	0.0913149i
$933$	15.7148	−	5.72097i	0.514480	−	0.187296i
$934$	−56.0867	+	20.7939i	−1.83521	+	0.680396i
$935$	−4.97111	+	8.61022i	−0.162573	+	0.281584i
$936$	26.0834	−	22.7012i	0.852562	−	0.742011i
$937$	7.37883			0.241056			0.120528	−	0.992710i	$-0.461541\pi$
$937$	7.37883			0.241056			0.120528	+	0.992710i	$0.461541\pi$
$938$	32.5080	+	37.5742i	1.06142	+	1.22684i
$939$	−22.9756	+	8.36427i	−0.749781	+	0.272958i
$940$	4.31985	+	5.02512i	0.140898	+	0.163901i
$941$		−	8.30718i		−	0.270806i	−0.990791	−	0.135403i	$-0.956767\pi$
$941$		−	8.30718i		−	0.270806i	0.990791	−	0.135403i	$-0.0432330\pi$
$942$	−8.07602	−	44.2375i	−0.263131	−	1.44134i
$943$		−	8.87394i		−	0.288975i
$944$	0.217664	+	0.173958i	0.00708438	+	0.00566186i
$945$	−11.3160	−	1.88648i	−0.368109	−	0.0613673i
$946$	40.5434	+	6.89963i	1.31818	+	0.224326i
$947$	−5.11648			−0.166263			−0.0831316	−	0.996539i	$-0.526492\pi$
$947$	−5.11648			−0.166263			−0.0831316	+	0.996539i	$0.526492\pi$
$948$	−0.575237	−	47.9007i	−0.0186828	−	1.55574i
$949$	33.5358			1.08862
$950$	19.1110	−	23.0536i	0.620042	−	0.747959i
$951$	9.88145	+	27.1432i	0.320428	+	0.880177i
$952$	−27.3724	−	4.06677i	−0.887146	−	0.131805i
$953$		−	40.3390i		−	1.30671i	−0.757053	−	0.653354i	$-0.773361\pi$
$953$		−	40.3390i		−	1.30671i	0.757053	−	0.653354i	$-0.226639\pi$
$954$	−0.0408052	−	6.67926i	−0.00132112	−	0.216249i
$955$	−12.2251	−	7.05819i	−0.395596	−	0.228398i
$956$	5.21771	+	27.6562i	0.168753	+	0.894466i
$957$	−19.1767	−	52.6762i	−0.619896	−	1.70278i
$958$	38.6413	−	14.3261i	1.24844	−	0.462854i
$959$	−0.898893	−	0.150048i	−0.0290268	−	0.00484530i
$960$	4.34201	+	10.7166i	0.140138	+	0.345878i
$961$	26.5621			0.856842
$962$	−2.20581	−	1.82857i	−0.0711181	−	0.0589553i
$963$	−43.9245	−	15.9802i	−1.41545	−	0.514956i
$964$	−4.47068	−	23.6966i	−0.143991	−	0.763217i
$965$	1.84518	+	1.06531i	0.0593983	+	0.0342936i
$966$	−3.77284	−	6.31164i	−0.121389	−	0.203074i
$967$	5.32448	−	3.07409i	0.171224	−	0.0988560i	−0.411939	−	0.911211i	$-0.635148\pi$
$967$	5.32448	−	3.07409i	0.171224	−	0.0988560i	0.583163	+	0.812355i	$0.301815\pi$
$968$	−0.903156	−	1.50156i	−0.0290285	−	0.0482619i
$969$	−29.6120	+	10.7802i	−0.951274	+	0.346311i
$970$	7.05868	+	19.0392i	0.226641	+	0.611311i
$971$	3.82677	+	6.62817i	0.122807	+	0.212708i	0.920874	−	0.389861i	$-0.127477\pi$
$971$	3.82677	+	6.62817i	0.122807	+	0.212708i	−0.798067	+	0.602569i	$0.794144\pi$
$972$	−5.03612	+	30.7675i	−0.161534	+	0.986867i
$973$	13.2532	+	2.21229i	0.424878	+	0.0709228i
$974$	31.3195	−	37.7809i	1.00354	−	1.21058i
$975$	5.27275	−	29.9155i	0.168863	−	0.958063i
$976$	−4.03509	−	3.22486i	−0.129160	−	0.103225i
$977$		−	10.3360i		−	0.330676i	−0.986237	−	0.165338i	$-0.947128\pi$
$977$		−	10.3360i		−	0.330676i	0.986237	−	0.165338i	$-0.0528716\pi$
$978$	6.13564	+	7.22313i	0.196196	+	0.230970i
$979$	21.9835	+	12.6922i	0.702597	+	0.405644i
$980$	−7.23579	+	9.17215i	−0.231139	+	0.292994i
$981$	1.57194	+	8.90764i	0.0501883	+	0.284399i
$982$	24.7230	−	9.16594i	0.788943	−	0.292497i
$983$	0.653524	+	1.13194i	0.0208442	+	0.0361032i	0.876259	−	0.481840i	$-0.160031\pi$
$983$	0.653524	+	1.13194i	0.0208442	+	0.0361032i	−0.855415	+	0.517943i	$0.826698\pi$
$984$	13.7495	+	35.7626i	0.438317	+	1.14007i
$985$	1.43557	−	2.48648i	0.0457410	−	0.0792258i
$986$	−49.2583	+	18.2623i	−1.56870	+	0.581589i
$987$	17.1546	+	6.06558i	0.546038	+	0.193070i
$988$	−26.1406	−	30.4085i	−0.831645	−	0.967422i
$989$	8.86921	−	5.12064i	0.282024	−	0.162827i
$990$	9.84345	−	5.76359i	0.312845	−	0.183179i
$991$	−32.8273	−	18.9529i	−1.04280	−	0.602058i	−0.122171	−	0.992509i	$-0.538986\pi$
$991$	−32.8273	−	18.9529i	−1.04280	−	0.602058i	−0.920624	+	0.390451i	$0.872319\pi$
$992$	−7.92905	−	8.89623i	−0.251748	−	0.282455i
$993$	3.18205	+	8.74070i	0.100979	+	0.277378i
$994$	−7.59346	+	6.56961i	−0.240850	+	0.208375i
$995$	−8.80376	−	15.2486i	−0.279098	−	0.483412i
$996$	9.34487	−	16.6442i	0.296104	−	0.527392i
$997$	−22.0425	−	38.1788i	−0.698094	−	1.20913i	−0.969127	−	0.246564i	$-0.920699\pi$
$997$	−22.0425	−	38.1788i	−0.698094	−	1.20913i	0.271033	−	0.962570i	$-0.412635\pi$
$998$	16.3625	−	19.7381i	0.517945	−	0.624799i
$999$	2.58331		0.000542335i	0.0817322		1.71587e-5i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	252.2.bb.a.11.20	yes	88
3.2	odd	2		756.2.bb.a.683.25		88
4.3	odd	2	inner	252.2.bb.a.11.25	yes	88
7.2	even	3		252.2.o.a.191.39	yes	88
9.4	even	3		756.2.o.a.179.10		88
9.5	odd	6		252.2.o.a.95.35	✓	88
12.11	even	2		756.2.bb.a.683.20		88
21.2	odd	6		756.2.o.a.359.6		88
28.23	odd	6		252.2.o.a.191.35	yes	88
36.23	even	6		252.2.o.a.95.39	yes	88
36.31	odd	6		756.2.o.a.179.6		88
63.23	odd	6	inner	252.2.bb.a.23.25	yes	88
63.58	even	3		756.2.bb.a.611.20		88
84.23	even	6		756.2.o.a.359.10		88
252.23	even	6	inner	252.2.bb.a.23.20	yes	88
252.247	odd	6		756.2.bb.a.611.25		88

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
252.2.o.a.95.35	✓	88	9.5	odd	6
252.2.o.a.95.39	yes	88	36.23	even	6
252.2.o.a.191.35	yes	88	28.23	odd	6
252.2.o.a.191.39	yes	88	7.2	even	3
252.2.bb.a.11.20	yes	88	1.1	even	1	trivial
252.2.bb.a.11.25	yes	88	4.3	odd	2	inner
252.2.bb.a.23.20	yes	88	252.23	even	6	inner
252.2.bb.a.23.25	yes	88	63.23	odd	6	inner
756.2.o.a.179.6		88	36.31	odd	6
756.2.o.a.179.10		88	9.4	even	3
756.2.o.a.359.6		88	21.2	odd	6
756.2.o.a.359.10		88	84.23	even	6
756.2.bb.a.611.20		88	63.58	even	3
756.2.bb.a.611.25		88	252.247	odd	6
756.2.bb.a.683.20		88	12.11	even	2
756.2.bb.a.683.25		88	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:	\( N \)	\(=\)	\( 252 = 2^{2} \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	252.bb (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.237258 + 1.39417i) q^{2} +(1.62755 - 0.592510i) q^{3} +(-1.88742 - 0.661555i) q^{4} +(-0.722678 - 0.417239i) q^{5} +(0.439910 + 2.40966i) q^{6} +(2.04221 + 1.68208i) q^{7} +(1.37012 - 2.47442i) q^{8} +(2.29786 - 1.92868i) q^{9} +O(q^{10})\)	\(q+(-0.237258 + 1.39417i) q^{2} +(1.62755 - 0.592510i) q^{3} +(-1.88742 - 0.661555i) q^{4} +(-0.722678 - 0.417239i) q^{5} +(0.439910 + 2.40966i) q^{6} +(2.04221 + 1.68208i) q^{7} +(1.37012 - 2.47442i) q^{8} +(2.29786 - 1.92868i) q^{9} +(0.753162 - 0.908543i) q^{10} +(1.61094 + 2.79023i) q^{11} +(-3.46385 + 0.0415973i) q^{12} +(2.03757 + 3.52917i) q^{13} +(-2.82963 + 2.44810i) q^{14} +(-1.42342 - 0.250884i) q^{15} +(3.12469 + 2.49726i) q^{16} +(-3.20251 - 1.84897i) q^{17} +(2.14373 + 3.66121i) q^{18} +(4.26091 - 2.46004i) q^{19} +(1.08797 + 1.26559i) q^{20} +(4.32045 + 1.52764i) q^{21} +(-4.27226 + 1.58392i) q^{22} +(-0.567320 + 0.982627i) q^{23} +(0.763832 - 4.83907i) q^{24} +(-2.15182 - 3.72707i) q^{25} +(-5.40370 + 2.00339i) q^{26} +(2.59713 - 4.50055i) q^{27} +(-2.74172 - 4.52581i) q^{28} +(-8.69963 - 5.02273i) q^{29} +(0.687491 - 1.92496i) q^{30} +2.10663i q^{31} +(-4.22296 + 3.76385i) q^{32} +(4.27513 + 3.58675i) q^{33} +(3.33760 - 4.02617i) q^{34} +(-0.774034 - 2.06769i) q^{35} +(-5.61296 + 2.12007i) q^{36} +(0.248579 + 0.430551i) q^{37} +(2.41878 + 6.52409i) q^{38} +(5.40732 + 4.53664i) q^{39} +(-2.02258 + 1.21654i) q^{40} +(-6.77313 + 3.91047i) q^{41} +(-3.15485 + 5.66100i) q^{42} +(-7.81676 - 4.51301i) q^{43} +(-1.19462 - 6.33205i) q^{44} +(-2.46534 + 0.435061i) q^{45} +(-1.23535 - 1.02408i) q^{46} +3.97056 q^{47} +(6.56525 + 2.21302i) q^{48} +(1.34124 + 6.87030i) q^{49} +(5.70670 - 2.11573i) q^{50} +(-6.30780 - 1.11178i) q^{51} +(-1.51100 - 8.00899i) q^{52} +(-1.36342 - 0.787173i) q^{53} +(5.65833 + 4.68863i) q^{54} -2.68858i q^{55} +(6.96025 - 2.74863i) q^{56} +(5.47726 - 6.52848i) q^{57} +(9.06660 - 10.9371i) q^{58} +0.0696596 q^{59} +(2.52061 + 1.41519i) q^{60} -1.29136 q^{61} +(-2.93700 - 0.499815i) q^{62} +(7.93691 - 0.0735976i) q^{63} +(-4.24552 - 6.78053i) q^{64} -3.40061i q^{65} +(-6.01484 + 5.10927i) q^{66} -13.2788i q^{67} +(4.82129 + 5.60842i) q^{68} +(-0.341127 + 1.93542i) q^{69} +(3.06635 - 0.588559i) q^{70} +2.68355 q^{71} +(-1.62402 - 8.32842i) q^{72} +(4.11468 - 7.12683i) q^{73} +(-0.659238 + 0.244409i) q^{74} +(-5.71054 - 4.79103i) q^{75} +(-9.66957 + 1.82429i) q^{76} +(-1.40350 + 8.40795i) q^{77} +(-7.60777 + 6.46237i) q^{78} +13.8287i q^{79} +(-1.21619 - 3.10846i) q^{80} +(1.56035 - 8.86371i) q^{81} +(-3.84488 - 10.3707i) q^{82} +(-2.75513 + 4.77203i) q^{83} +(-7.14388 - 5.74151i) q^{84} +(1.54293 + 2.67243i) q^{85} +(8.14649 - 9.82714i) q^{86} +(-17.1351 - 3.02015i) q^{87} +(9.11138 - 0.163180i) q^{88} +(6.82321 - 3.93938i) q^{89} +(-0.0216287 - 3.54032i) q^{90} +(-1.77519 + 10.6347i) q^{91} +(1.72083 - 1.47931i) q^{92} +(1.24820 + 3.42866i) q^{93} +(-0.942046 + 5.53563i) q^{94} -4.10569 q^{95} +(-4.64298 + 8.62802i) q^{96} +(-8.60311 + 14.9010i) q^{97} +(-9.89659 + 0.239885i) q^{98} +(9.08318 + 3.30457i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 88 q - 2 q^{4} - 6 q^{5} - 6 q^{6} - 2 q^{9}+O(q^{10}) \) 88 * q - 2 * q^4 - 6 * q^5 - 6 * q^6 - 2 * q^9	\( 88 q - 2 q^{4} - 6 q^{5} - 6 q^{6} - 2 q^{9} + 2 q^{10} + 6 q^{12} - 4 q^{13} - 18 q^{14} - 2 q^{16} + 2 q^{18} - 6 q^{20} - 6 q^{21} - 6 q^{22} - 14 q^{24} + 30 q^{25} + 6 q^{26} - 24 q^{29} - 29 q^{30} + 10 q^{33} - 4 q^{34} + 2 q^{36} - 4 q^{37} - 45 q^{38} - 4 q^{40} - 12 q^{41} - 46 q^{42} + 57 q^{44} - 18 q^{45} - 6 q^{46} - 43 q^{48} - 2 q^{49} + 9 q^{50} - 7 q^{52} + 23 q^{54} - 24 q^{56} - 28 q^{57} + 5 q^{58} - 19 q^{60} - 4 q^{61} - 8 q^{64} + 60 q^{66} - 12 q^{68} - 6 q^{69} - 27 q^{70} - 10 q^{72} - 4 q^{73} + 51 q^{74} - 6 q^{76} - 30 q^{77} + 55 q^{78} - 87 q^{80} - 34 q^{81} - 4 q^{82} - 55 q^{84} - 14 q^{85} + 81 q^{86} + 9 q^{88} - 60 q^{89} + 41 q^{90} + 24 q^{92} + 30 q^{93} - 18 q^{94} - 29 q^{96} - 4 q^{97} + 57 q^{98}+O(q^{100}) \) 88 * q - 2 * q^4 - 6 * q^5 - 6 * q^6 - 2 * q^9 + 2 * q^10 + 6 * q^12 - 4 * q^13 - 18 * q^14 - 2 * q^16 + 2 * q^18 - 6 * q^20 - 6 * q^21 - 6 * q^22 - 14 * q^24 + 30 * q^25 + 6 * q^26 - 24 * q^29 - 29 * q^30 + 10 * q^33 - 4 * q^34 + 2 * q^36 - 4 * q^37 - 45 * q^38 - 4 * q^40 - 12 * q^41 - 46 * q^42 + 57 * q^44 - 18 * q^45 - 6 * q^46 - 43 * q^48 - 2 * q^49 + 9 * q^50 - 7 * q^52 + 23 * q^54 - 24 * q^56 - 28 * q^57 + 5 * q^58 - 19 * q^60 - 4 * q^61 - 8 * q^64 + 60 * q^66 - 12 * q^68 - 6 * q^69 - 27 * q^70 - 10 * q^72 - 4 * q^73 + 51 * q^74 - 6 * q^76 - 30 * q^77 + 55 * q^78 - 87 * q^80 - 34 * q^81 - 4 * q^82 - 55 * q^84 - 14 * q^85 + 81 * q^86 + 9 * q^88 - 60 * q^89 + 41 * q^90 + 24 * q^92 + 30 * q^93 - 18 * q^94 - 29 * q^96 - 4 * q^97 + 57 * q^98

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