LMFDB - Embedded newform 252.2.n.b.187.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [252,2,Mod(31,252)]

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, 2, 1]))

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

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

chi := DirichletCharacter("252.31");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 252 = 2^{2} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	252.n (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:	$84$
Relative dimension:	$42$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			187.7
Character	$\chi$	$=$	252.187
Dual form			252.2.n.b.31.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.26565 + 0.630973i) q^{2} +(1.11108 + 1.32872i) q^{3} +(1.20375 - 1.59718i) q^{4} -2.00240i q^{5} +(-2.24463 - 0.980638i) q^{6} +(2.64523 - 0.0525529i) q^{7} +(-0.515742 + 2.78101i) q^{8} +(-0.531008 + 2.95263i) q^{9} +O(q^{10})$	\(q+(-1.26565 + 0.630973i) q^{2} +(1.11108 + 1.32872i) q^{3} +(1.20375 - 1.59718i) q^{4} -2.00240i q^{5} +(-2.24463 - 0.980638i) q^{6} +(2.64523 - 0.0525529i) q^{7} +(-0.515742 + 2.78101i) q^{8} +(-0.531008 + 2.95263i) q^{9} +(1.26346 + 2.53433i) q^{10} -5.03174i q^{11} +(3.45967 - 0.175153i) q^{12} +(3.29495 - 1.90234i) q^{13} +(-3.31478 + 1.73558i) q^{14} +(2.66063 - 2.22482i) q^{15} +(-1.10199 - 3.84521i) q^{16} +(1.61527 - 0.932579i) q^{17} +(-1.19096 - 4.07205i) q^{18} +(-3.12744 + 5.41689i) q^{19} +(-3.19819 - 2.41038i) q^{20} +(3.00889 + 3.45639i) q^{21} +(3.17489 + 6.36842i) q^{22} +6.27581i q^{23} +(-4.26822 + 2.40464i) q^{24} +0.990411 q^{25} +(-2.96993 + 4.48672i) q^{26} +(-4.51322 + 2.57504i) q^{27} +(3.10025 - 4.28818i) q^{28} +(-1.23970 + 2.14722i) q^{29} +(-1.96363 + 4.49463i) q^{30} +(0.557613 - 0.965814i) q^{31} +(3.82096 + 4.17136i) q^{32} +(6.68578 - 5.59066i) q^{33} +(-1.45594 + 2.19952i) q^{34} +(-0.105232 - 5.29680i) q^{35} +(4.07670 + 4.40233i) q^{36} +(0.559132 - 0.968445i) q^{37} +(0.540339 - 8.82923i) q^{38} +(6.18863 + 2.26442i) q^{39} +(5.56868 + 1.03272i) q^{40} +(-6.39139 + 3.69007i) q^{41} +(-5.98909 - 2.47605i) q^{42} +(-6.79358 - 3.92228i) q^{43} +(-8.03661 - 6.05693i) q^{44} +(5.91234 + 1.06329i) q^{45} +(-3.95987 - 7.94299i) q^{46} +(-1.95019 - 3.37783i) q^{47} +(3.88481 - 5.73657i) q^{48} +(6.99448 - 0.278029i) q^{49} +(-1.25351 + 0.624923i) q^{50} +(3.03384 + 1.11008i) q^{51} +(0.927894 - 7.55257i) q^{52} +(2.80349 + 4.85579i) q^{53} +(4.08738 - 6.10683i) q^{54} -10.0755 q^{55} +(-1.21810 + 7.38351i) q^{56} +(-10.6724 + 1.86309i) q^{57} +(0.214186 - 3.49984i) q^{58} +(4.35302 - 7.53966i) q^{59} +(-0.350726 - 6.92763i) q^{60} +(-1.83423 + 1.05899i) q^{61} +(-0.0963407 + 1.57422i) q^{62} +(-1.24947 + 7.83829i) q^{63} +(-7.46802 - 2.86856i) q^{64} +(-3.80924 - 6.59779i) q^{65} +(-4.93431 + 11.2944i) q^{66} +(-10.4118 - 6.01127i) q^{67} +(0.454879 - 3.70248i) q^{68} +(-8.33881 + 6.97292i) q^{69} +(3.47532 + 6.63750i) q^{70} +3.84867i q^{71} +(-7.93743 - 2.99953i) q^{72} +(-0.499355 + 0.288303i) q^{73} +(-0.0966032 + 1.57851i) q^{74} +(1.10042 + 1.31598i) q^{75} +(4.88713 + 11.5157i) q^{76} +(-0.264432 - 13.3101i) q^{77} +(-9.26144 + 1.03889i) q^{78} +(-3.42902 + 1.97974i) q^{79} +(-7.69962 + 2.20663i) q^{80} +(-8.43606 - 3.13574i) q^{81} +(5.76093 - 8.70314i) q^{82} +(5.34720 - 9.26162i) q^{83} +(9.14242 - 0.645136i) q^{84} +(-1.86739 - 3.23442i) q^{85} +(11.0732 + 0.677665i) q^{86} +(-4.23045 + 0.738514i) q^{87} +(13.9933 + 2.59508i) q^{88} +(-5.13938 - 2.96722i) q^{89} +(-8.15386 + 2.38477i) q^{90} +(8.61592 - 5.20528i) q^{91} +(10.0236 + 7.55448i) q^{92} +(1.90285 - 0.332183i) q^{93} +(4.59958 + 3.04463i) q^{94} +(10.8468 + 6.26238i) q^{95} +(-1.29719 + 9.71171i) q^{96} +(-14.0382 - 8.10496i) q^{97} +(-8.67714 + 4.76522i) q^{98} +(14.8569 + 2.67189i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 84 q - q^{2} + q^{4} - 16 q^{8} - 14 q^{9}+O(q^{10}) $ 84 * q - q^2 + q^4 - 16 * q^8 - 14 * q^9	$ 84 q - q^{2} + q^{4} - 16 q^{8} - 14 q^{9} - 18 q^{10} + 9 q^{12} - 18 q^{13} - 25 q^{14} - 7 q^{16} + 6 q^{17} - 13 q^{18} + 24 q^{20} + 4 q^{21} + 6 q^{22} + 6 q^{24} - 32 q^{25} - 30 q^{26} - 4 q^{28} + 10 q^{29} + 14 q^{30} + 9 q^{32} - 6 q^{33} + 24 q^{34} - 38 q^{36} + 2 q^{37} - 6 q^{41} + 7 q^{42} - 13 q^{44} - 18 q^{45} + 10 q^{46} - 9 q^{48} + 2 q^{49} - 17 q^{50} - 2 q^{53} - 42 q^{54} - 32 q^{56} + 6 q^{57} + 26 q^{58} + 8 q^{60} - 24 q^{61} - 8 q^{64} + 50 q^{65} + 27 q^{66} + 18 q^{69} - 4 q^{70} - 7 q^{72} + 30 q^{73} + 46 q^{74} + 46 q^{77} + 15 q^{78} + 3 q^{80} - 26 q^{81} - 18 q^{82} + 29 q^{84} - 50 q^{85} + 18 q^{86} - 2 q^{88} - 102 q^{89} + 39 q^{90} + 28 q^{92} - 24 q^{93} + 3 q^{94} - 30 q^{96} - 6 q^{97} + 21 q^{98}+O(q^{100}) $ 84 * q - q^2 + q^4 - 16 * q^8 - 14 * q^9 - 18 * q^10 + 9 * q^12 - 18 * q^13 - 25 * q^14 - 7 * q^16 + 6 * q^17 - 13 * q^18 + 24 * q^20 + 4 * q^21 + 6 * q^22 + 6 * q^24 - 32 * q^25 - 30 * q^26 - 4 * q^28 + 10 * q^29 + 14 * q^30 + 9 * q^32 - 6 * q^33 + 24 * q^34 - 38 * q^36 + 2 * q^37 - 6 * q^41 + 7 * q^42 - 13 * q^44 - 18 * q^45 + 10 * q^46 - 9 * q^48 + 2 * q^49 - 17 * q^50 - 2 * q^53 - 42 * q^54 - 32 * q^56 + 6 * q^57 + 26 * q^58 + 8 * q^60 - 24 * q^61 - 8 * q^64 + 50 * q^65 + 27 * q^66 + 18 * q^69 - 4 * q^70 - 7 * q^72 + 30 * q^73 + 46 * q^74 + 46 * q^77 + 15 * q^78 + 3 * q^80 - 26 * q^81 - 18 * q^82 + 29 * q^84 - 50 * q^85 + 18 * q^86 - 2 * q^88 - 102 * q^89 + 39 * q^90 + 28 * q^92 - 24 * q^93 + 3 * q^94 - 30 * q^96 - 6 * q^97 + 21 * q^98

Display 100 coefficients 10 coefficients

Character values

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

$n$	$29$	$73$	$127$
$\chi(n)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{5}{6}\right)$	$-1$

Coefficient data

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

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

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

$2$	−1.26565	+	0.630973i	−0.894950	+	0.446165i
$2$	−1.26565	+	0.630973i	−0.894950	+	0.446165i
$3$	1.11108	+	1.32872i	0.641482	+	0.767138i
$3$	1.11108	+	1.32872i	0.641482	+	0.767138i
$4$	1.20375	−	1.59718i	0.601873	−	0.798592i
$5$		−	2.00240i		−	0.895499i	−0.894159	−	0.447749i	$-0.852226\pi$
$5$		−	2.00240i		−	0.895499i	0.894159	−	0.447749i	$-0.147774\pi$
$6$	−2.24463	−	0.980638i	−0.916365	−	0.400344i
$7$	2.64523	−	0.0525529i	0.999803	−	0.0198631i
$7$	2.64523	−	0.0525529i	0.999803	−	0.0198631i
$8$	−0.515742	+	2.78101i	−0.182342	+	0.983235i
$9$	−0.531008	+	2.95263i	−0.177003	+	0.984210i
$10$	1.26346	+	2.53433i	0.399541	+	0.801427i
$11$		−	5.03174i		−	1.51713i	−0.651600	−	0.758563i	$-0.725902\pi$
$11$		−	5.03174i		−	1.51713i	0.651600	−	0.758563i	$-0.274098\pi$
$12$	3.45967	−	0.175153i	0.998721	−	0.0505623i
$13$	3.29495	−	1.90234i	0.913854	−	0.527614i	0.0321850	−	0.999482i	$-0.489753\pi$
$13$	3.29495	−	1.90234i	0.913854	−	0.527614i	0.881669	+	0.471868i	$0.156420\pi$
$14$	−3.31478	+	1.73558i	−0.885912	+	0.463854i
$15$	2.66063	−	2.22482i	0.686971	−	0.574446i
$16$	−1.10199	−	3.84521i	−0.275498	−	0.961302i
$17$	1.61527	−	0.932579i	0.391762	−	0.226184i	−0.291161	−	0.956674i	$-0.594042\pi$
$17$	1.61527	−	0.932579i	0.391762	−	0.226184i	0.682923	+	0.730490i	$0.260708\pi$
$18$	−1.19096	−	4.07205i	−0.280712	−	0.959792i
$19$	−3.12744	+	5.41689i	−0.717485	+	1.24272i	0.244509	+	0.969647i	$0.421373\pi$
$19$	−3.12744	+	5.41689i	−0.717485	+	1.24272i	−0.961993	+	0.273073i	$0.911960\pi$
$20$	−3.19819	−	2.41038i	−0.715138	−	0.538976i
$21$	3.00889	+	3.45639i	0.656593	+	0.754245i
$22$	3.17489	+	6.36842i	0.676889	+	1.35775i
$23$			6.27581i			1.30860i	0.756236	+	0.654299i	$0.227036\pi$
$23$			6.27581i			1.30860i	−0.756236	+	0.654299i	$0.772964\pi$
$24$	−4.26822	+	2.40464i	−0.871247	+	0.490846i
$25$	0.990411			0.198082
$26$	−2.96993	+	4.48672i	−0.582451	+	0.879919i
$27$	−4.51322	+	2.57504i	−0.868570	+	0.495567i
$28$	3.10025	−	4.28818i	0.585891	−	0.810390i
$29$	−1.23970	+	2.14722i	−0.230206	+	0.398728i	−0.957869	−	0.287207i	$-0.907273\pi$
$29$	−1.23970	+	2.14722i	−0.230206	+	0.398728i	0.727663	+	0.685935i	$0.240607\pi$
$30$	−1.96363	+	4.49463i	−0.358507	+	0.820604i
$31$	0.557613	−	0.965814i	0.100150	−	0.173465i	−0.811596	−	0.584219i	$-0.801401\pi$
$31$	0.557613	−	0.965814i	0.100150	−	0.173465i	0.911746	+	0.410753i	$0.134734\pi$
$32$	3.82096	+	4.17136i	0.675457	+	0.737399i
$33$	6.68578	−	5.59066i	1.16385	−	0.973208i
$34$	−1.45594	+	2.19952i	−0.249692	+	0.377214i
$35$	−0.105232	−	5.29680i	−0.0177874	−	0.895322i
$36$	4.07670	+	4.40233i	0.679449	+	0.733722i
$37$	0.559132	−	0.968445i	0.0919207	−	0.159211i	−0.816399	−	0.577489i	$-0.804033\pi$
$37$	0.559132	−	0.968445i	0.0919207	−	0.159211i	0.908319	+	0.418277i	$0.137366\pi$
$38$	0.540339	−	8.82923i	0.0876546	−	1.43229i
$39$	6.18863	+	2.26442i	0.990974	+	0.362598i
$40$	5.56868	+	1.03272i	0.880486	+	0.163287i
$41$	−6.39139	+	3.69007i	−0.998167	+	0.576292i	−0.907706	−	0.419608i	$-0.862168\pi$
$41$	−6.39139	+	3.69007i	−0.998167	+	0.576292i	−0.0904619	+	0.995900i	$0.528834\pi$
$42$	−5.98909	−	2.47605i	−0.924136	−	0.382063i
$43$	−6.79358	−	3.92228i	−1.03601	−	0.598141i	−0.117310	−	0.993095i	$-0.537427\pi$
$43$	−6.79358	−	3.92228i	−1.03601	−	0.598141i	−0.918701	+	0.394954i	$0.870761\pi$
$44$	−8.03661	−	6.05693i	−1.21156	−	0.913117i
$45$	5.91234	+	1.06329i	0.881359	+	0.158506i
$46$	−3.95987	−	7.94299i	−0.583851	−	1.17113i
$47$	−1.95019	−	3.37783i	−0.284464	−	0.492707i	0.688015	−	0.725697i	$-0.258482\pi$
$47$	−1.95019	−	3.37783i	−0.284464	−	0.492707i	−0.972479	+	0.232990i	$0.925149\pi$
$48$	3.88481	−	5.73657i	0.560724	−	0.828003i
$49$	6.99448	−	0.278029i	0.999211	−	0.0397184i
$50$	−1.25351	+	0.624923i	−0.177274	+	0.0883774i
$51$	3.03384	+	1.11008i	0.424822	+	0.155443i
$52$	0.927894	−	7.55257i	0.128676	−	1.04735i
$53$	2.80349	+	4.85579i	0.385089	+	0.666994i	0.991782	−	0.127942i	$-0.0408373\pi$
$53$	2.80349	+	4.85579i	0.385089	+	0.666994i	−0.606692	+	0.794937i	$0.707504\pi$
$54$	4.08738	−	6.10683i	0.556222	−	0.831034i
$55$	−10.0755			−1.35858
$56$	−1.21810	+	7.38351i	−0.162776	+	0.986663i
$57$	−10.6724	+	1.86309i	−1.41359	+	0.246772i
$58$	0.214186	−	3.49984i	0.0281241	−	0.459552i
$59$	4.35302	−	7.53966i	0.566715	−	0.981580i	−0.430172	−	0.902747i	$-0.641547\pi$
$59$	4.35302	−	7.53966i	0.566715	−	0.981580i	0.996888	−	0.0788331i	$-0.0251194\pi$
$60$	−0.350726	−	6.92763i	−0.0452785	−	0.894353i
$61$	−1.83423	+	1.05899i	−0.234849	+	0.135590i	−0.612807	−	0.790232i	$-0.709960\pi$
$61$	−1.83423	+	1.05899i	−0.234849	+	0.135590i	0.377958	+	0.925823i	$0.376626\pi$
$62$	−0.0963407	+	1.57422i	−0.0122353	+	0.199927i
$63$	−1.24947	+	7.83829i	−0.157418	+	0.987532i
$64$	−7.46802	−	2.86856i	−0.933503	−	0.358570i
$65$	−3.80924	−	6.59779i	−0.472478	−	0.818355i
$66$	−4.93431	+	11.2944i	−0.607372	+	1.39024i
$67$	−10.4118	−	6.01127i	−1.27201	−	0.734394i	−0.296642	−	0.954989i	$-0.595867\pi$
$67$	−10.4118	−	6.01127i	−1.27201	−	0.734394i	−0.975366	+	0.220595i	$0.929200\pi$
$68$	0.454879	−	3.70248i	0.0551622	−	0.448992i
$69$	−8.33881	+	6.97292i	−1.00388	+	0.839441i
$70$	3.47532	+	6.63750i	0.415381	+	0.793333i
$71$			3.84867i			0.456753i	0.973573	+	0.228377i	$0.0733417\pi$
$71$			3.84867i			0.456753i	−0.973573	+	0.228377i	$0.926658\pi$
$72$	−7.93743	−	2.99953i	−0.935435	−	0.353498i
$73$	−0.499355	+	0.288303i	−0.0584450	+	0.0337433i	−0.528938	−	0.848661i	$-0.677410\pi$
$73$	−0.499355	+	0.288303i	−0.0584450	+	0.0337433i	0.470493	+	0.882404i	$0.344076\pi$
$74$	−0.0966032	+	1.57851i	−0.0112299	+	0.183498i
$75$	1.10042	+	1.31598i	0.127066	+	0.151956i
$76$	4.88713	+	11.5157i	0.560592	+	1.32094i
$77$	−0.264432	−	13.3101i	−0.0301349	−	1.51683i
$78$	−9.26144	+	1.03889i	−1.04865	+	0.117631i
$79$	−3.42902	+	1.97974i	−0.385794	+	0.222739i	−0.680336	−	0.732900i	$-0.738166\pi$
$79$	−3.42902	+	1.97974i	−0.385794	+	0.222739i	0.294542	+	0.955639i	$0.404833\pi$
$80$	−7.69962	+	2.20663i	−0.860844	+	0.246708i
$81$	−8.43606	−	3.13574i	−0.937340	−	0.348416i
$82$	5.76093	−	8.70314i	0.636189	−	0.961101i
$83$	5.34720	−	9.26162i	0.586931	−	1.01660i	−0.407700	−	0.913116i	$-0.633669\pi$
$83$	5.34720	−	9.26162i	0.586931	−	1.01660i	0.994632	−	0.103479i	$-0.0329975\pi$
$84$	9.14242	−	0.645136i	0.997520	−	0.0703901i
$85$	−1.86739	−	3.23442i	−0.202547	−	0.350822i
$86$	11.0732	+	0.677665i	1.19405	+	0.0730745i
$87$	−4.23045	+	0.738514i	−0.453552	+	0.0791770i
$88$	13.9933	+	2.59508i	1.49169	+	0.276636i
$89$	−5.13938	−	2.96722i	−0.544773	−	0.314525i	0.202238	−	0.979336i	$-0.435179\pi$
$89$	−5.13938	−	2.96722i	−0.544773	−	0.314525i	−0.747011	+	0.664811i	$0.768512\pi$
$90$	−8.15386	+	2.38477i	−0.859492	+	0.251377i
$91$	8.61592	−	5.20528i	0.903194	−	0.545662i
$92$	10.0236	+	7.55448i	1.04504	+	0.787609i
$93$	1.90285	−	0.332183i	0.197317	−	0.0344457i
$94$	4.59958	+	3.04463i	0.474410	+	0.314030i
$95$	10.8468	+	6.26238i	1.11285	+	0.642507i
$96$	−1.29719	+	9.71171i	−0.132394	+	0.991197i
$97$	−14.0382	−	8.10496i	−1.42536	−	0.822934i	−0.428613	−	0.903488i	$-0.640997\pi$
$97$	−14.0382	−	8.10496i	−1.42536	−	0.822934i	−0.996750	+	0.0805547i	$0.974331\pi$
$98$	−8.67714	+	4.76522i	−0.876523	+	0.481359i
$99$	14.8569	+	2.67189i	1.49317	+	0.268535i
$100$	1.19220	−	1.58187i	0.119220	−	0.158187i
$101$			3.79391i			0.377508i	0.982024	+	0.188754i	$0.0604449\pi$
$101$			3.79391i			0.377508i	−0.982024	+	0.188754i	$0.939555\pi$
$102$	−4.54021	+	0.509292i	−0.449548	+	0.0504274i
$103$	−9.26720			−0.913125			−0.456562	−	0.889691i	$-0.650919\pi$
$103$	−9.26720			−0.913125			−0.456562	+	0.889691i	$0.650919\pi$
$104$	3.59108	+	10.1444i	0.352134	+	0.994740i
$105$	6.92105	−	6.02498i	0.675426	−	0.587978i
$106$	−6.61212	−	4.37681i	−0.642226	−	0.425113i
$107$	6.79221	+	3.92148i	0.656628	+	0.379104i	0.790991	−	0.611828i	$-0.209566\pi$
$107$	6.79221	+	3.92148i	0.656628	+	0.379104i	−0.134363	+	0.990932i	$0.542899\pi$
$108$	−1.31995	+	10.3081i	−0.127012	+	0.991901i
$109$	8.27240	+	14.3282i	0.792353	+	1.37239i	0.924507	+	0.381166i	$0.124477\pi$
$109$	8.27240	+	14.3282i	0.792353	+	1.37239i	−0.132154	+	0.991229i	$0.542189\pi$
$110$	12.7521	−	6.35739i	1.21587	−	0.606153i
$111$	1.90803	−	0.333087i	0.181103	−	0.0316153i
$112$	−3.11710	−	10.1135i	−0.294538	−	0.955640i
$113$	9.70786	+	16.8145i	0.913238	+	1.58178i	0.809460	+	0.587175i	$0.199760\pi$
$113$	9.70786	+	16.8145i	0.913238	+	1.58178i	0.103778	+	0.994600i	$0.466907\pi$
$114$	12.3320	−	9.09201i	1.15499	−	0.851544i
$115$	12.5667			1.17185
$116$	1.93722	+	4.56472i	0.179866	+	0.423824i
$117$	3.86726	+	10.7389i	0.357529	+	0.992814i
$118$	−0.752087	+	12.2892i	−0.0692352	+	1.13131i
$119$	4.22376	−	2.55177i	0.387192	−	0.233921i
$120$	4.81505	+	8.54666i	0.439552	+	0.780200i
$121$	−14.3184			−1.30167
$122$	1.65330	−	2.49767i	0.149683	−	0.226128i
$123$	−12.0044	−	4.39243i	−1.08240	−	0.396052i
$124$	−0.871359	−	2.05321i	−0.0782503	−	0.184383i
$125$		−	11.9952i		−	1.07288i
$126$	−3.36436	−	10.7089i	−0.299721	−	0.954027i
$127$			2.21609i			0.196646i	0.995155	+	0.0983232i	$0.0313479\pi$
$127$			2.21609i			0.196646i	−0.995155	+	0.0983232i	$0.968652\pi$
$128$	11.2619	−	1.08152i	0.995420	−	0.0955938i
$129$	−2.33659	−	13.3847i	−0.205725	−	1.17846i
$130$	8.98419	+	5.94698i	0.787966	+	0.521584i
$131$	−15.9027			−1.38943			−0.694714	−	0.719286i	$-0.744469\pi$
$131$	−15.9027			−1.38943			−0.694714	+	0.719286i	$0.744469\pi$
$132$	−0.881324	−	17.4082i	−0.0767094	−	1.51519i
$133$	−7.98813	+	14.4933i	−0.692659	+	1.25673i
$134$	16.9707	+	1.03859i	1.46605	+	0.0897204i
$135$	5.15626	+	9.03725i	0.443780	+	0.777803i
$136$	1.76045	+	4.97306i	0.150957	+	0.426437i
$137$	−4.30171			−0.367520			−0.183760	−	0.982971i	$-0.558827\pi$
$137$	−4.30171			−0.367520			−0.183760	+	0.982971i	$0.558827\pi$
$138$	6.15430	−	14.0869i	0.523889	−	1.19915i
$139$	2.19727	+	3.80579i	0.186370	+	0.322803i	0.944037	−	0.329838i	$-0.106994\pi$
$139$	2.19727	+	3.80579i	0.186370	+	0.322803i	−0.757667	+	0.652641i	$0.773661\pi$
$140$	−8.58663	−	6.20792i	−0.725703	−	0.524665i
$141$	2.32138	−	6.34429i	0.195496	−	0.534286i
$142$	−2.42841	−	4.87107i	−0.203787	−	0.408771i
$143$	−9.57207	−	16.5793i	−0.800457	−	1.38643i
$144$	11.9386	−	1.21194i	0.994887	−	0.100995i
$145$	4.29958	+	2.48236i	0.357060	+	0.206149i
$146$	0.450098	−	0.679970i	0.0372503	−	0.0562747i
$147$	8.14084	+	8.98481i	0.671445	+	0.741054i
$148$	−0.873732	−	2.05880i	−0.0718204	−	0.169232i
$149$	4.58475			0.375597			0.187799	−	0.982208i	$-0.439865\pi$
$149$	4.58475			0.375597			0.187799	+	0.982208i	$0.439865\pi$
$150$	−2.22310	−	0.971235i	−0.181516	−	0.0793010i
$151$			23.4942i			1.91193i	0.293475	+	0.955967i	$0.405188\pi$
$151$			23.4942i			1.91193i	−0.293475	+	0.955967i	$0.594812\pi$
$152$	−13.4515	−	11.4912i	−1.09106	−	0.932056i
$153$	1.89584	+	5.26452i	0.153269	+	0.425611i
$154$	8.73299	+	16.6791i	0.703725	+	1.34404i
$155$	−1.93394	−	1.11656i	−0.155338	−	0.0896844i
$156$	11.0662	−	7.15859i	0.886008	−	0.573146i
$157$	−14.1976	−	8.19699i	−1.13309	−	0.654191i	−0.188381	−	0.982096i	$-0.560324\pi$
$157$	−14.1976	−	8.19699i	−1.13309	−	0.654191i	−0.944711	+	0.327905i	$0.893657\pi$
$158$	3.09077	−	4.66928i	0.245889	−	0.371468i
$159$	−3.33710	+	9.12023i	−0.264649	+	0.723282i
$160$	8.35272	−	7.65108i	0.660340	−	0.604871i
$161$	0.329812	+	16.6010i	0.0259928	+	1.30834i
$162$	12.6557	−	1.35417i	0.994324	−	0.106394i
$163$	4.37894	+	2.52818i	0.342985	+	0.198022i	0.661591	−	0.749865i	$-0.269881\pi$
$163$	4.37894	+	2.52818i	0.342985	+	0.198022i	−0.318606	+	0.947887i	$0.603215\pi$
$164$	−1.79989	+	14.6501i	−0.140547	+	1.14398i
$165$	−11.1947	−	13.3876i	−0.871507	−	1.04222i
$166$	−0.923854	+	15.0959i	−0.0717050	+	1.17167i
$167$	4.45705	+	7.71983i	0.344897	+	0.597378i	0.985335	−	0.170631i	$-0.0545806\pi$
$167$	4.45705	+	7.71983i	0.344897	+	0.597378i	−0.640438	+	0.768010i	$0.721247\pi$
$168$	−11.1640	+	6.58514i	−0.861325	+	0.508054i
$169$	0.737790	−	1.27789i	0.0567530	−	0.0982992i
$170$	4.40430	+	2.91537i	0.337794	+	0.223599i
$171$	−14.3334	−	12.1106i	−1.09610	−	0.926121i
$172$	−14.4423	+	6.12918i	−1.10122	+	0.467345i
$173$	2.63021	−	1.51855i	0.199971	−	0.115453i	−0.396671	−	0.917961i	$-0.629835\pi$
$173$	2.63021	−	1.51855i	0.199971	−	0.115453i	0.596642	+	0.802508i	$0.296501\pi$
$174$	4.88830	−	3.60400i	0.370581	−	0.273219i
$175$	2.61986	−	0.0520490i	0.198043	−	0.00393453i
$176$	−19.3481	+	5.54494i	−1.45842	+	0.417966i
$177$	14.8547	−	2.59319i	1.11655	−	0.194916i
$178$	8.37690	+	0.512657i	0.627875	+	0.0384253i
$179$	4.01804	−	2.31982i	0.300323	−	0.173391i	−0.342265	−	0.939603i	$-0.611194\pi$
$179$	4.01804	−	2.31982i	0.300323	−	0.173391i	0.642588	+	0.766212i	$0.277861\pi$
$180$	8.81522	−	8.16316i	0.657047	−	0.608446i
$181$		−	3.81679i		−	0.283700i	−0.989888	−	0.141850i	$-0.954695\pi$
$181$		−	3.81679i		−	0.283700i	0.989888	−	0.141850i	$-0.0453050\pi$
$182$	−7.62036	+	12.0245i	−0.564858	+	0.891314i
$183$	−3.44509	−	1.26056i	−0.254668	−	0.0931832i
$184$	−17.4531	−	3.23670i	−1.28666	−	0.238612i
$185$	−1.93921	−	1.11960i	−0.142574	−	0.0823149i
$186$	−2.19875	+	1.62108i	−0.161220	+	0.118863i
$187$	−4.69249	−	8.12764i	−0.343149	−	0.594352i
$188$	−7.74254	−	0.951233i	−0.564683	−	0.0693758i
$189$	−11.8032	+	7.04876i	−0.858555	+	0.512722i
$190$	−17.6796	−	1.08197i	−1.28261	−	0.0784946i
$191$	−3.26838	+	1.88700i	−0.236492	+	0.136539i	−0.613563	−	0.789645i	$-0.710264\pi$
$191$	−3.26838	+	1.88700i	−0.236492	+	0.136539i	0.377071	+	0.926184i	$0.376931\pi$
$192$	−4.48603	−	13.1101i	−0.323752	−	0.946142i
$193$	6.06896	−	10.5117i	0.436853	−	0.756652i	−0.560592	−	0.828092i	$-0.689426\pi$
$193$	6.06896	−	10.5117i	0.436853	−	0.756652i	0.997445	+	0.0714404i	$0.0227596\pi$
$194$	22.8815	+	1.40032i	1.64279	+	0.100537i
$195$	4.53427	−	12.3921i	0.324706	−	0.887416i
$196$	7.97551	−	11.5061i	0.569679	−	0.821867i
$197$	−6.35688			−0.452909			−0.226455	−	0.974022i	$-0.572713\pi$
$197$	−6.35688			−0.452909			−0.226455	+	0.974022i	$0.572713\pi$
$198$	−20.4895	+	5.99260i	−1.45613	+	0.425875i
$199$	1.00759	+	1.74520i	0.0714262	+	0.123714i	0.899527	−	0.436866i	$-0.143912\pi$
$199$	1.00759	+	1.74520i	0.0714262	+	0.123714i	−0.828100	+	0.560580i	$0.810578\pi$
$200$	−0.510796	+	2.75434i	−0.0361187	+	0.194761i
$201$	−3.58105	−	20.5134i	−0.252588	−	1.44691i
$202$	−2.39385	−	4.80176i	−0.168431	−	0.337851i
$203$	−3.16644	+	5.74503i	−0.222240	+	0.403222i
$204$	5.42497	−	3.50934i	0.379824	−	0.245703i
$205$	7.38898	+	12.7981i	0.516069	+	0.893858i
$206$	11.7290	−	5.84736i	0.817201	−	0.407405i
$207$	−18.5302	−	3.33251i	−1.28793	−	0.231625i
$208$	−10.9459	−	10.5734i	−0.758961	−	0.733133i
$209$	27.2564	+	15.7365i	1.88536	+	1.08851i
$210$	−4.95804	+	11.9925i	−0.342137	+	0.827563i
$211$	15.8266	−	9.13752i	1.08955	−	0.629053i	0.156094	−	0.987742i	$-0.450110\pi$
$211$	15.8266	−	9.13752i	1.08955	−	0.629053i	0.933457	+	0.358690i	$0.116776\pi$
$212$	11.1303	+	1.36744i	0.764431	+	0.0939165i
$213$	−5.11382	+	4.27618i	−0.350393	+	0.292999i
$214$	−11.0709	−	0.677528i	−0.756792	−	0.0463149i
$215$	−7.85395	+	13.6034i	−0.535635	+	0.927747i
$216$	−4.83356	−	13.8794i	−0.328882	−	0.944371i
$217$	1.42426	−	2.58410i	0.0966850	−	0.175420i
$218$	−19.5107	−	12.9149i	−1.32143	−	0.874705i
$219$	−0.937896	−	0.343177i	−0.0633772	−	0.0231898i
$220$	−12.1284	+	16.0925i	−0.817695	+	1.08495i
$221$	3.54816	−	6.14560i	0.238675	−	0.413398i
$222$	−2.20474	+	1.62549i	−0.147972	+	0.109096i
$223$	8.23280	−	14.2596i	0.551309	−	0.954896i	−0.446871	−	0.894598i	$-0.647462\pi$
$223$	8.23280	−	14.2596i	0.551309	−	0.954896i	0.998180	−	0.0602974i	$-0.0192049\pi$
$224$	10.3265	+	10.8334i	0.689971	+	0.723837i
$225$	−0.525916	+	2.92432i	−0.0350611	+	0.194955i
$226$	−22.8963	−	15.1559i	−1.52304	−	1.00816i
$227$	−0.441421			−0.0292982			−0.0146491	−	0.999893i	$-0.504663\pi$
$227$	−0.441421			−0.0292982			−0.0146491	+	0.999893i	$0.504663\pi$
$228$	−9.87114	+	19.2884i	−0.653732	+	1.27741i
$229$		−	5.37457i		−	0.355161i	−0.984106	−	0.177581i	$-0.943173\pi$
$229$		−	5.37457i		−	0.355161i	0.984106	−	0.177581i	$-0.0568271\pi$
$230$	−15.9050	+	7.92922i	−1.04874	+	0.522838i
$231$	17.3916	−	15.1399i	1.14428	−	0.996134i
$232$	−5.33206	−	4.55501i	−0.350067	−	0.299051i
$233$	3.38198	−	5.85776i	0.221561	−	0.383754i	−0.733721	−	0.679450i	$-0.762218\pi$
$233$	3.38198	−	5.85776i	0.221561	−	0.383754i	0.955282	+	0.295696i	$0.0955516\pi$
$234$	−11.6706	−	11.1516i	−0.762930	−	0.729002i
$235$	−6.76375	+	3.90505i	−0.441218	+	0.254737i
$236$	−6.80229	−	16.0284i	−0.442791	−	1.04336i
$237$	−6.44044	−	2.35656i	−0.418351	−	0.153075i
$238$	−3.73571	+	5.89474i	−0.242150	+	0.382099i
$239$	−0.169520	+	0.0978724i	−0.0109653	+	0.00633084i	−0.505473	−	0.862843i	$-0.668682\pi$
$239$	−0.169520	+	0.0978724i	−0.0109653	+	0.00633084i	0.494507	+	0.869173i	$0.335349\pi$
$240$	−11.4869	−	7.77893i	−0.741475	−	0.502128i
$241$			12.8524i			0.827897i	0.910300	+	0.413948i	$0.135851\pi$
$241$			12.8524i			0.827897i	−0.910300	+	0.413948i	$0.864149\pi$
$242$	18.1221	−	9.03451i	1.16493	−	0.580760i
$243$	−5.20660	−	14.6932i	−0.334003	−	0.942572i
$244$	−0.516540	+	4.20437i	−0.0330681	+	0.269157i
$245$	−0.556724	−	14.0057i	−0.0355678	−	0.894792i
$246$	17.9649	−	2.01519i	1.14540	−	0.128484i
$247$			23.7978i			1.51422i
$248$	2.39835	+	2.04884i	0.152296	+	0.130101i
$249$	18.2473	−	3.18545i	1.15637	−	0.201869i
$250$	7.56863	+	15.1817i	0.478682	+	0.960175i
$251$	−13.7723			−0.869299			−0.434650	−	0.900600i	$-0.643128\pi$
$251$	−13.7723			−0.869299			−0.434650	+	0.900600i	$0.643128\pi$
$252$	11.0152	+	11.4309i	0.693889	+	0.720082i
$253$	31.5782			1.98531
$254$	−1.39829	−	2.80480i	−0.0877368	−	0.175989i
$255$	2.22283	−	6.07494i	0.139199	−	0.380428i
$256$	−13.5712	+	8.47478i	−0.848201	+	0.529674i
$257$			13.8537i			0.864170i	0.901833	+	0.432085i	$0.142222\pi$
$257$			13.8537i			0.864170i	−0.901833	+	0.432085i	$0.857778\pi$
$258$	11.4027	+	15.4661i	0.709902	+	0.962877i
$259$	1.42814	−	2.59114i	0.0887402	−	0.161006i
$260$	−15.1232	−	1.85801i	−0.937903	−	0.115229i
$261$	−5.68165	−	4.80055i	−0.351685	−	0.297147i
$262$	20.1273	−	10.0342i	1.24347	−	0.619915i
$263$			1.61839i			0.0997945i	0.998754	+	0.0498972i	$0.0158894\pi$
$263$			1.61839i			0.0997945i	−0.998754	+	0.0498972i	$0.984111\pi$
$264$	12.0995	+	21.4766i	0.744674	+	1.32179i
$265$	9.72322	−	5.61370i	0.597293	−	0.344847i
$266$	0.965319	−	23.3837i	0.0591875	−	1.43375i
$267$	−1.76764	−	10.1256i	−0.108178	−	0.619678i
$268$	−22.1343	+	9.39357i	−1.35207	+	0.573803i
$269$	−3.95786	+	2.28507i	−0.241315	+	0.139323i	−0.615781	−	0.787917i	$-0.711159\pi$
$269$	−3.95786	+	2.28507i	−0.241315	+	0.139323i	0.374466	+	0.927241i	$0.377826\pi$
$270$	−12.2283	−	8.18455i	−0.744190	−	0.498096i
$271$	11.9451	−	20.6896i	0.725615	−	1.25680i	−0.233105	−	0.972452i	$-0.574889\pi$
$271$	11.9451	−	20.6896i	0.725615	−	1.25680i	0.958720	−	0.284351i	$-0.0917782\pi$
$272$	−5.36598	−	5.18337i	−0.325360	−	0.314288i
$273$	16.4893	+	5.66469i	0.997980	+	0.342843i
$274$	5.44447	−	2.71426i	0.328912	−	0.163975i
$275$		−	4.98349i		−	0.300516i
$276$	1.09923	+	21.7122i	0.0661657	+	1.30692i
$277$	12.3054			0.739363			0.369681	−	0.929159i	$-0.379467\pi$
$277$	12.3054			0.739363			0.369681	+	0.929159i	$0.379467\pi$
$278$	−5.18233	−	3.43038i	−0.310816	−	0.205741i
$279$	2.55560	+	2.15928i	0.153000	+	0.129273i
$280$	14.7847	+	2.43913i	0.883555	+	0.145766i
$281$	−6.68674	+	11.5818i	−0.398897	+	0.690910i	−0.993590	−	0.113043i	$-0.963940\pi$
$281$	−6.68674	+	11.5818i	−0.398897	+	0.690910i	0.594693	+	0.803953i	$0.297274\pi$
$282$	1.06502	+	9.49439i	0.0634210	+	0.565383i
$283$	3.22533	−	5.58643i	0.191726	−	0.332079i	−0.754097	−	0.656764i	$-0.771925\pi$
$283$	3.22533	−	5.58643i	0.191726	−	0.332079i	0.945822	+	0.324685i	$0.105258\pi$
$284$	6.14703	+	4.63282i	0.364759	+	0.274907i
$285$	3.73064	+	21.3703i	0.220984	+	1.26587i
$286$	22.5760	+	14.9439i	1.33495	+	0.883652i
$287$	−16.7128	+	10.0970i	−0.986524	+	0.596005i
$288$	−14.3455	+	9.06686i	−0.845314	+	0.534270i
$289$	−6.76059	+	11.7097i	−0.397682	+	0.688805i
$290$	−7.00807	−	0.428886i	−0.411528	−	0.0251851i
$291$	−4.82830	−	27.6581i	−0.283040	−	1.62135i
$292$	−0.140624	+	1.14460i	−0.00822938	+	0.0669829i
$293$	18.9236	−	10.9255i	1.10553	−	0.638277i	0.167861	−	0.985811i	$-0.446314\pi$
$293$	18.9236	−	10.9255i	1.10553	−	0.638277i	0.937668	+	0.347534i	$0.112981\pi$
$294$	−15.9726	−	6.23498i	−0.931543	−	0.363631i
$295$	−15.0974	−	8.71648i	−0.879003	−	0.507493i
$296$	2.40489	+	2.05442i	0.139781	+	0.119411i
$297$	12.9569	+	22.7093i	0.751838	+	1.31773i
$298$	−5.80269	+	2.89285i	−0.336141	+	0.167578i
$299$	11.9387	+	20.6785i	0.690434	+	1.19587i
$300$	3.42650	−	0.173474i	0.197829	−	0.0100155i
$301$	−18.1767	−	10.0183i	−1.04769	−	0.577445i
$302$	−14.8242	−	29.7355i	−0.853039	−	1.71109i
$303$	−5.04105	+	4.21533i	−0.289601	+	0.242164i
$304$	24.2755	+	6.05629i	1.39229	+	0.347352i
$305$	2.12053	+	3.67286i	0.121421	+	0.210307i
$306$	−5.72124	−	5.46682i	−0.327062	−	0.312517i
$307$	−5.00234			−0.285499			−0.142749	−	0.989759i	$-0.545594\pi$
$307$	−5.00234			−0.285499			−0.142749	+	0.989759i	$0.545594\pi$
$308$	−21.5770	−	15.5996i	−1.22946	−	0.888871i
$309$	−10.2966	−	12.3135i	−0.585753	−	0.700493i
$310$	3.15222	+	0.192912i	0.179034	+	0.0109567i
$311$	10.1968	−	17.6613i	0.578206	−	1.00148i	−0.417479	−	0.908687i	$-0.637086\pi$
$311$	10.1968	−	17.6613i	0.578206	−	1.00148i	0.995685	−	0.0927962i	$-0.0295805\pi$
$312$	−9.48912	+	16.0428i	−0.537215	+	0.908243i
$313$	−18.2484	+	10.5357i	−1.03146	+	0.595515i	−0.917403	−	0.397959i	$-0.869718\pi$
$313$	−18.2484	+	10.5357i	−1.03146	+	0.595515i	−0.114059	+	0.993474i	$0.536385\pi$
$314$	23.1413	+	1.41622i	1.30594	+	0.0799220i
$315$	15.6954	+	2.50193i	0.884334	+	0.140968i
$316$	−0.965649	+	7.85988i	−0.0543220	+	0.442153i
$317$	−6.03814	−	10.4584i	−0.339136	−	0.587400i	0.645135	−	0.764069i	$-0.276801\pi$
$317$	−6.03814	−	10.4584i	−0.339136	−	0.587400i	−0.984270	+	0.176669i	$0.943468\pi$
$318$	−1.53102	−	13.6487i	−0.0858552	−	0.765379i
$319$	10.8042	+	6.23782i	0.604920	+	0.349251i
$320$	−5.74400	+	14.9539i	−0.321099	+	0.835950i
$321$	2.33611	+	13.3820i	0.130389	+	0.746913i
$322$	−10.8922	−	20.8029i	−0.606998	−	1.15930i
$323$			11.6664i			0.649133i
$324$	−15.1632	+	9.69931i	−0.842402	+	0.538850i
$325$	3.26335	−	1.88410i	0.181018	−	0.104511i
$326$	−7.13742	−	0.436802i	−0.395305	−	0.0241922i
$327$	−9.84694	+	26.9115i	−0.544537	+	1.48821i
$328$	−6.96581	−	19.6776i	−0.384623	−	1.08652i
$329$	−5.33621	−	8.83264i	−0.294195	−	0.486959i
$330$	22.6158	+	9.88045i	1.24496	+	0.543901i
$331$	−1.10382	+	0.637288i	−0.0606712	+	0.0350285i	−0.530029	−	0.847980i	$-0.677819\pi$
$331$	−1.10382	+	0.637288i	−0.0606712	+	0.0350285i	0.469358	+	0.883008i	$0.344486\pi$
$332$	−8.35585	−	19.6891i	−0.458587	−	1.08058i
$333$	2.56256	+	2.16516i	0.140427	+	0.118650i
$334$	−10.5121	−	6.95834i	−0.575195	−	0.380743i
$335$	−12.0370	+	20.8486i	−0.657649	+	1.13908i
$336$	9.97474	−	15.3787i	0.544167	−	0.838977i
$337$	−6.12539	−	10.6095i	−0.333671	−	0.577935i	0.649558	−	0.760312i	$-0.274954\pi$
$337$	−6.12539	−	10.6095i	−0.333671	−	0.577935i	−0.983229	+	0.182377i	$0.941621\pi$
$338$	−0.127470	+	2.08289i	−0.00693348	+	0.113294i
$339$	−11.5556	+	31.5813i	−0.627615	+	1.71526i
$340$	−7.41383	−	0.910848i	−0.402071	−	0.0493977i
$341$	−4.85972	−	2.80576i	−0.263169	−	0.151941i
$342$	25.7825	+	6.28381i	1.39416	+	0.339790i
$343$	18.4874	−	1.10303i	0.998225	−	0.0595581i
$344$	14.4116	−	16.8701i	0.777022	−	0.909576i
$345$	13.9625	+	16.6976i	0.751718	+	0.898969i
$346$	−2.37076	+	3.58155i	−0.127453	+	0.192545i
$347$	7.47885	+	4.31792i	0.401486	+	0.231798i	0.687125	−	0.726539i	$-0.258873\pi$
$347$	7.47885	+	4.31792i	0.401486	+	0.231798i	−0.285639	+	0.958337i	$0.592206\pi$
$348$	−3.91285	+	7.64580i	−0.209751	+	0.409858i
$349$	−6.91380	−	3.99168i	−0.370087	−	0.213670i	0.303409	−	0.952860i	$-0.401875\pi$
$349$	−6.91380	−	3.99168i	−0.370087	−	0.213670i	−0.673497	+	0.739190i	$0.735208\pi$
$350$	−3.28299	+	1.71894i	−0.175483	+	0.0918812i
$351$	−9.97222	+	17.0703i	−0.532278	+	0.911146i
$352$	20.9892	−	19.2261i	1.11873	−	1.02475i
$353$		−	18.9233i		−	1.00719i	−0.863941	−	0.503594i	$-0.832011\pi$
$353$		−	18.9233i		−	1.00719i	0.863941	−	0.503594i	$-0.167989\pi$
$354$	−17.1646	+	12.6550i	−0.912288	+	0.672604i
$355$	7.70656			0.409022
$356$	−10.9257	+	4.63675i	−0.579061	+	0.245747i
$357$	8.08353	+	2.77699i	0.427826	+	0.146974i
$358$	−3.62170	+	5.47136i	−0.191413	+	0.289170i
$359$	22.7971	+	13.1619i	1.20319	+	0.694659i	0.961262	−	0.275636i	$-0.0888885\pi$
$359$	22.7971	+	13.1619i	1.20319	+	0.694659i	0.241923	+	0.970295i	$0.422222\pi$
$360$	−6.00625	+	15.8939i	−0.316557	+	0.837681i
$361$	−10.0618	−	17.4276i	−0.529569	−	0.917240i
$362$	2.40829	+	4.83073i	0.126577	+	0.253897i
$363$	−15.9088	−	19.0251i	−0.834997	−	0.998561i
$364$	2.05758	−	20.0270i	0.107847	−	1.04970i
$365$	0.577296	+	0.999906i	0.0302170	+	0.0523375i
$366$	5.15566	−	0.578328i	0.269490	−	0.0302297i
$367$	1.55991			0.0814269			0.0407134	−	0.999171i	$-0.487037\pi$
$367$	1.55991			0.0814269			0.0407134	+	0.999171i	$0.487037\pi$
$368$	24.1318	−	6.91590i	1.25796	−	0.360516i
$369$	−7.50154	−	20.8309i	−0.390514	−	1.08441i
$370$	3.16080	+	0.193438i	0.164322	+	0.0100564i
$371$	7.67107	+	12.6974i	0.398262	+	0.659214i
$372$	1.75999	−	3.43907i	0.0912514	−	0.178307i
$373$	35.9979			1.86390			0.931950	−	0.362588i	$-0.118107\pi$
$373$	35.9979			1.86390			0.931950	+	0.362588i	$0.118107\pi$
$374$	11.0674	+	7.32591i	0.572281	+	0.378814i
$375$	15.9383	−	13.3276i	0.823048	−	0.688233i
$376$	10.3996	−	3.68141i	0.536316	−	0.189854i
$377$			9.43329i			0.485839i
$378$	10.4911	−	16.3688i	0.539605	−	0.841918i
$379$		−	19.4764i		−	1.00044i	−0.865899	−	0.500219i	$-0.833253\pi$
$379$		−	19.4764i		−	1.00044i	0.865899	−	0.500219i	$-0.166747\pi$
$380$	23.0589	−	9.78596i	1.18290	−	0.502009i
$381$	−2.94457	+	2.46225i	−0.150855	+	0.126145i
$382$	2.94599	−	4.45055i	0.150730	−	0.227710i
$383$	0.0991517			0.00506641			0.00253321	−	0.999997i	$-0.499194\pi$
$383$	0.0991517			0.00506641			0.00253321	+	0.999997i	$0.499194\pi$
$384$	13.9499	+	13.7623i	0.711878	+	0.702304i
$385$	−26.6521	+	0.529498i	−1.35832	+	0.0269857i
$386$	−1.04855	+	17.1336i	−0.0533700	+	0.872075i
$387$	15.1885	−	17.9762i	0.772074	−	0.913780i
$388$	−29.8435	+	12.6653i	−1.51508	+	0.642982i
$389$	−26.5662			−1.34696			−0.673481	−	0.739204i	$-0.735202\pi$
$389$	−26.5662			−1.34696			−0.673481	+	0.739204i	$0.735202\pi$
$390$	2.08027	+	18.5451i	0.105338	+	0.939066i
$391$	5.85269	+	10.1372i	0.295983	+	0.512658i
$392$	−2.83414	+	19.5951i	−0.143146	+	0.989702i
$393$	−17.6692	−	21.1303i	−0.891293	−	1.06588i
$394$	8.04560	−	4.01102i	0.405331	−	0.202072i
$395$	3.96423	+	6.86625i	0.199462	+	0.345478i
$396$	22.1514	−	20.5129i	1.11315	−	1.03081i
$397$	23.4405	+	13.5334i	1.17645	+	0.679221i	0.955190	−	0.295995i	$-0.0956511\pi$
$397$	23.4405	+	13.5334i	1.17645	+	0.679221i	0.221256	+	0.975216i	$0.428984\pi$
$398$	−2.37643	−	1.57305i	−0.119120	−	0.0788499i
$399$	−28.1330	+	5.48916i	−1.40841	+	0.274802i
$400$	−1.09143	−	3.80833i	−0.0545713	−	0.190417i
$401$	−31.9981			−1.59791			−0.798954	−	0.601392i	$-0.794613\pi$
$401$	−31.9981			−1.59791			−0.798954	+	0.601392i	$0.794613\pi$
$402$	17.4758	+	23.7033i	0.871613	+	1.18221i
$403$		−	4.24308i		−	0.211363i
$404$	6.05957	+	4.56690i	0.301475	+	0.227212i
$405$	−6.27900	+	16.8923i	−0.312006	+	0.839387i
$406$	0.382645	−	9.26914i	0.0189904	−	0.460020i
$407$	−4.87296	−	2.81340i	−0.241544	−	0.139455i
$408$	−4.65183	+	7.86461i	−0.230300	+	0.389356i
$409$	18.9401	+	10.9351i	0.936527	+	0.540704i	0.888870	−	0.458160i	$-0.151491\pi$
$409$	18.9401	+	10.9351i	0.936527	+	0.540704i	0.0476569	+	0.998864i	$0.484825\pi$
$410$	−17.4271	−	11.5357i	−0.860664	−	0.569706i
$411$	−4.77954	−	5.71578i	−0.235757	−	0.281939i
$412$	−11.1554	+	14.8014i	−0.549585	+	0.729214i
$413$	11.1185	−	20.1729i	0.547106	−	0.992643i
$414$	25.5554	−	7.47424i	1.25598	−	0.367339i
$415$	−18.5454	−	10.7072i	−0.910359	−	0.525596i
$416$	20.5252	+	6.47566i	1.00633	+	0.317495i
$417$	−2.61549	+	7.14810i	−0.128081	+	0.350044i
$418$	−44.4263	−	2.71884i	−2.17296	−	0.132983i
$419$	−9.62802	−	16.6762i	−0.470360	−	0.814687i	0.529066	−	0.848581i	$-0.322542\pi$
$419$	−9.62802	−	16.6762i	−0.470360	−	0.814687i	−0.999425	+	0.0338939i	$0.989209\pi$
$420$	−1.29182	−	18.3067i	−0.0630342	−	0.893277i
$421$	16.8866	−	29.2484i	0.823002	−	1.42548i	−0.0804343	−	0.996760i	$-0.525631\pi$
$421$	16.8866	−	29.2484i	0.823002	−	1.42548i	0.903437	−	0.428722i	$-0.141036\pi$
$422$	−14.2655	+	21.5511i	−0.694433	+	1.04909i
$423$	11.0090	−	3.96454i	0.535278	−	0.192762i
$424$	−14.9499	+	5.29221i	−0.726030	+	0.257012i
$425$	1.59979	−	0.923637i	0.0776010	−	0.0448030i
$426$	3.77415	−	8.63883i	0.182858	−	0.418553i
$427$	−4.79631	+	2.89768i	−0.232110	+	0.140228i
$428$	14.4394	−	6.12794i	0.697956	−	0.296205i
$429$	11.3940	−	31.1395i	0.550107	−	1.50343i
$430$	1.35695	−	22.1728i	0.0654381	−	1.06927i
$431$	2.57782	−	1.48830i	0.124169	−	0.0716890i	−0.436629	−	0.899642i	$-0.643828\pi$
$431$	2.57782	−	1.48830i	0.124169	−	0.0716890i	0.560798	+	0.827953i	$0.310494\pi$
$432$	14.8751	+	14.5166i	0.715679	+	0.698429i
$433$		−	25.5918i		−	1.22986i	−0.788580	−	0.614932i	$-0.789183\pi$
$433$		−	25.5918i		−	1.22986i	0.788580	−	0.614932i	$-0.210817\pi$
$434$	−0.172113	+	4.16924i	−0.00826170	+	0.200130i
$435$	1.47880	+	8.47104i	0.0709029	+	0.406155i
$436$	32.8427	+	4.03498i	1.57288	+	0.193241i
$437$	−33.9954	−	19.6272i	−1.62622	−	0.938898i
$438$	1.40359	−	0.157445i	0.0670659	−	0.00752302i
$439$	14.5655	+	25.2282i	0.695174	+	1.20408i	0.970122	+	0.242618i	$0.0780062\pi$
$439$	14.5655	+	25.2282i	0.695174	+	1.20408i	−0.274947	+	0.961459i	$0.588660\pi$
$440$	5.19637	−	28.0201i	0.247727	−	1.33581i
$441$	−2.89321	+	20.7997i	−0.137772	+	0.990464i
$442$	−0.613029	+	10.0170i	−0.0291588	+	0.476459i
$443$	−21.9919	+	12.6970i	−1.04487	+	0.603254i	−0.921208	−	0.389070i	$-0.872796\pi$
$443$	−21.9919	+	12.6970i	−1.04487	+	0.603254i	−0.123659	+	0.992325i	$0.539463\pi$
$444$	1.76479	−	3.44843i	0.0837531	−	0.163655i
$445$	−5.94155	+	10.2911i	−0.281657	+	0.487844i
$446$	−1.42241	+	23.2424i	−0.0673530	+	1.10056i
$447$	5.09401	+	6.09186i	0.240939	+	0.288135i
$448$	−19.9054	−	7.19554i	−0.940441	−	0.339957i
$449$	30.7532			1.45133			0.725667	−	0.688046i	$-0.241531\pi$
$449$	30.7532			1.45133			0.725667	+	0.688046i	$0.241531\pi$
$450$	−1.17954	−	4.03301i	−0.0556041	−	0.190118i
$451$	18.5675	+	32.1598i	0.874308	+	1.51435i
$452$	38.5416	+	4.73515i	1.81285	+	0.222723i
$453$	−31.2173	+	26.1039i	−1.46672	+	1.22647i
$454$	0.558685	−	0.278525i	0.0262204	−	0.0130718i
$455$	−10.4230	−	17.2525i	−0.488639	−	0.808809i
$456$	0.322929	−	30.6409i	0.0151225	−	1.43489i
$457$	5.49304	+	9.51423i	0.256954	+	0.445057i	0.965424	−	0.260683i	$-0.0839479\pi$
$457$	5.49304	+	9.51423i	0.256954	+	0.445057i	−0.708471	+	0.705740i	$0.750615\pi$
$458$	3.39121	+	6.80233i	0.158461	+	0.317852i
$459$	−4.88866	+	8.36834i	−0.228183	+	0.390601i
$460$	15.1271	−	20.0713i	0.705303	−	0.935827i
$461$	14.3875	+	8.30665i	0.670095	+	0.386879i	0.796113	−	0.605149i	$-0.206886\pi$
$461$	14.3875	+	8.30665i	0.670095	+	0.386879i	−0.126018	+	0.992028i	$0.540220\pi$
$462$	−12.4588	+	30.1355i	−0.579638	+	1.40203i
$463$	6.92387	−	3.99750i	0.321779	−	0.185779i	−0.330406	−	0.943839i	$-0.607186\pi$
$463$	6.92387	−	3.99750i	0.321779	−	0.185779i	0.652185	+	0.758059i	$0.273852\pi$
$464$	9.62262	+	2.40067i	0.446719	+	0.111448i
$465$	−0.665161	−	3.81026i	−0.0308461	−	0.176697i
$466$	−0.584316	+	9.54781i	−0.0270679	+	0.442294i
$467$	12.6639	−	21.9346i	0.586017	−	1.01501i	−0.408731	−	0.912655i	$-0.634029\pi$
$467$	12.6639	−	21.9346i	0.586017	−	1.01501i	0.994748	−	0.102356i	$-0.0326381\pi$
$468$	21.8072	+	6.75020i	1.00804	+	0.312028i
$469$	−27.8576	−	15.3540i	−1.28634	−	0.708983i
$470$	6.09656	−	9.21018i	0.281213	−	0.424834i
$471$	−4.88313	−	27.9722i	−0.225003	−	1.28889i
$472$	18.7228	+	15.9943i	0.861788	+	0.736198i
$473$	−19.7359	+	34.1835i	−0.907456	+	1.57176i
$474$	9.63827	−	1.08116i	0.442701	−	0.0496593i
$475$	−3.09745	+	5.36495i	−0.142121	+	0.246161i
$476$	1.00868	−	9.81781i	0.0462329	−	0.449999i
$477$	−15.8260	+	5.69922i	−0.724625	+	0.260949i
$478$	0.152798	−	0.230835i	0.00698883	−	0.0105581i
$479$	4.18768			0.191340			0.0956701	−	0.995413i	$-0.469501\pi$
$479$	4.18768			0.191340			0.0956701	+	0.995413i	$0.469501\pi$
$480$	19.4467	+	2.59750i	0.887616	+	0.118559i
$481$		−	4.25464i		−	0.193995i
$482$	−8.10953	−	16.2667i	−0.369379	−	0.740927i
$483$	−21.6916	+	18.8832i	−0.987003	+	0.859215i
$484$	−17.2357	+	22.8691i	−0.783440	+	1.03950i
$485$	−16.2293	+	28.1100i	−0.736936	+	1.27641i
$486$	15.8608	+	15.3113i	0.719459	+	0.694534i
$487$	29.8039	−	17.2073i	1.35054	−	0.779737i	0.362219	−	0.932093i	$-0.382019\pi$
$487$	29.8039	−	17.2073i	1.35054	−	0.779737i	0.988326	+	0.152356i	$0.0486860\pi$
$488$	−1.99908	−	5.64718i	−0.0904942	−	0.255636i
$489$	1.50609	+	8.62740i	0.0681079	+	0.390144i
$490$	9.54185	+	17.3751i	0.431057	+	0.784925i
$491$	−12.1909	+	7.03839i	−0.550166	+	0.317638i	−0.749189	−	0.662357i	$-0.769556\pi$
$491$	−12.1909	+	7.03839i	−0.550166	+	0.317638i	0.199023	+	0.979995i	$0.436223\pi$
$492$	−21.4658	+	13.8859i	−0.967752	+	0.626025i
$493$			4.62446i			0.208275i
$494$	−15.0158	−	30.1198i	−0.675593	−	1.35515i
$495$	5.35019	−	29.7493i	0.240473	−	1.33713i
$496$	−4.32824	−	1.07982i	−0.194344	−	0.0484852i
$497$	0.202259	+	10.1806i	0.00907255	+	0.456663i
$498$	−21.0848	+	15.5452i	−0.944831	+	0.696598i
$499$		−	15.6889i		−	0.702331i	−0.936313	−	0.351166i	$-0.885785\pi$
$499$		−	15.6889i		−	0.702331i	0.936313	−	0.351166i	$-0.114215\pi$
$500$	−19.1585	−	14.4391i	−0.856794	−	0.645738i
$501$	−5.30538	+	14.4995i	−0.237027	+	0.647791i
$502$	17.4309	−	8.68995i	0.777980	−	0.387851i
$503$	9.76063			0.435205			0.217603	−	0.976037i	$-0.430176\pi$
$503$	9.76063			0.435205			0.217603	+	0.976037i	$0.430176\pi$
$504$	−21.1540	−	7.51732i	−0.942272	−	0.334848i
$505$	7.59691			0.338058
$506$	−39.9670	+	19.9250i	−1.77675	+	0.885775i
$507$	2.51770	−	0.439518i	0.111815	−	0.0195197i
$508$	3.53951	+	2.66761i	0.157040	+	0.118356i
$509$			33.1208i			1.46806i	0.679120	+	0.734028i	$0.262362\pi$
$509$			33.1208i			1.46806i	−0.679120	+	0.734028i	$0.737638\pi$
$510$	1.01980	+	9.09130i	0.0451577	+	0.402570i
$511$	−1.30576	+	0.788869i	−0.0577633	+	0.0348975i
$512$	11.8291	−	19.2892i	0.522776	−	0.852470i
$513$	0.166111	−	32.5009i	0.00733399	−	1.43495i
$514$	−8.74131	−	17.5339i	−0.385563	−	0.773389i
$515$			18.5566i			0.817702i
$516$	−24.1906	−	12.3799i	−1.06493	−	0.544993i
$517$	−16.9963	+	9.81284i	−0.747498	+	0.431568i
$518$	−0.172582	+	4.18060i	−0.00758282	+	0.183685i
$519$	4.94010	+	1.80759i	0.216846	+	0.0793443i
$520$	20.3131	−	7.19076i	0.890788	−	0.315336i
$521$	12.6595	−	7.30899i	0.554624	−	0.320213i	−0.196361	−	0.980532i	$-0.562912\pi$
$521$	12.6595	−	7.30899i	0.554624	−	0.320213i	0.750985	+	0.660319i	$0.229579\pi$
$522$	10.2200	+	2.49086i	0.447317	+	0.109022i
$523$	−6.22510	+	10.7822i	−0.272205	+	0.471472i	−0.969426	−	0.245383i	$-0.921086\pi$
$523$	−6.22510	+	10.7822i	−0.272205	+	0.471472i	0.697221	+	0.716856i	$0.254419\pi$
$524$	−19.1428	+	25.3996i	−0.836259	+	1.10959i
$525$	2.98003	+	3.42324i	0.130059	+	0.149403i
$526$	−1.02116	−	2.04832i	−0.0445248	−	0.0893111i
$527$		−	2.08007i		−	0.0906094i
$528$	−28.8649	−	19.5473i	−1.25618	−	0.850689i
$529$	−16.3858			−0.712426
$530$	−8.76411	+	13.2401i	−0.380688	+	0.575112i
$531$	19.9503	+	16.8565i	0.865771	+	0.731509i
$532$	13.5327	+	30.2047i	0.586719	+	1.30954i
$533$	−14.0395	+	24.3172i	−0.608120	+	1.05329i
$534$	8.62622	+	11.7002i	0.373293	+	0.506316i
$535$	7.85236	−	13.6007i	0.339487	−	0.588009i
$536$	22.0872	−	25.8551i	0.954023	−	1.11677i
$537$	7.54676	+	2.76136i	0.325667	+	0.119162i
$538$	3.56745	−	5.38940i	0.153804	−	0.232354i
$539$	−1.39897	−	35.1944i	−0.0602579	−	1.51593i
$540$	20.6410	+	2.64306i	0.888246	+	0.113739i
$541$	−18.8784	+	32.6984i	−0.811647	+	1.40581i	0.100064	+	0.994981i	$0.468095\pi$
$541$	−18.8784	+	32.6984i	−0.811647	+	1.40581i	−0.911711	+	0.410832i	$0.865238\pi$
$542$	−2.06380	+	33.7229i	−0.0886479	+	1.44852i
$543$	5.07146	−	4.24076i	0.217637	−	0.181988i
$544$	10.0620	+	3.17455i	0.431406	+	0.136108i
$545$	28.6908	−	16.5646i	1.22898	−	0.709551i
$546$	−24.4440	+	3.23481i	−1.04611	+	0.138437i
$547$	−4.46357	−	2.57704i	−0.190848	−	0.110186i	0.401531	−	0.915845i	$-0.368478\pi$
$547$	−4.46357	−	2.57704i	−0.190848	−	0.110186i	−0.592380	+	0.805659i	$0.701811\pi$
$548$	−5.17817	+	6.87062i	−0.221200	+	0.293498i
$549$	−2.15283	−	5.97814i	−0.0918804	−	0.255141i
$550$	3.14445	+	6.30736i	0.134080	+	0.268947i
$551$	−7.75416	−	13.4306i	−0.330338	−	0.572162i
$552$	−15.0911	−	26.7865i	−0.642319	−	1.14011i
$553$	−8.96649	+	5.41708i	−0.381294	+	0.230358i
$554$	−15.5744	+	7.76441i	−0.661693	+	0.329878i
$555$	−0.666973	−	3.82064i	−0.0283114	−	0.162177i
$556$	8.72350	+	1.07175i	0.369959	+	0.0454524i
$557$	−21.0386	−	36.4399i	−0.891434	−	1.54401i	−0.838156	−	0.545430i	$-0.816366\pi$
$557$	−21.0386	−	36.4399i	−0.891434	−	1.54401i	−0.0532780	−	0.998580i	$-0.516967\pi$
$558$	−4.59694	−	1.12038i	−0.194604	−	0.0474296i
$559$	−29.8460			−1.26235
$560$	−20.2513	+	6.24167i	−0.855774	+	0.263759i
$561$	5.58565	−	15.2655i	0.235826	−	0.644508i
$562$	1.15529	−	18.8776i	0.0487330	−	0.796305i
$563$	−16.2896	+	28.2145i	−0.686526	+	1.18910i	0.286429	+	0.958102i	$0.407532\pi$
$563$	−16.2896	+	28.2145i	−0.686526	+	1.18910i	−0.972955	+	0.230996i	$0.925801\pi$
$564$	−7.33865	−	11.3446i	−0.309013	−	0.477693i
$565$	33.6693	−	19.4390i	1.41648	−	0.817804i
$566$	−0.557251	+	9.10556i	−0.0234230	+	0.382735i
$567$	−22.4801	−	7.85142i	−0.944076	−	0.329729i
$568$	−10.7032	−	1.98492i	−0.449096	−	0.0832854i
$569$	−20.3694	−	35.2808i	−0.853930	−	1.47905i	−0.877635	−	0.479330i	$-0.840880\pi$
$569$	−20.3694	−	35.2808i	−0.853930	−	1.47905i	0.0237050	−	0.999719i	$-0.492454\pi$
$570$	−18.2058	−	24.6935i	−0.762557	−	1.03429i
$571$	−23.1787	−	13.3822i	−0.969998	−	0.560029i	−0.0707624	−	0.997493i	$-0.522543\pi$
$571$	−23.1787	−	13.3822i	−0.969998	−	0.560029i	−0.899236	+	0.437465i	$0.855877\pi$
$572$	−38.0025	−	4.66892i	−1.58897	−	0.195217i
$573$	−6.13873	−	2.24617i	−0.256449	−	0.0938350i
$574$	14.7816	−	23.3246i	0.616973	−	0.973548i
$575$			6.21563i			0.259210i
$576$	12.4354	−	20.5271i	0.518141	−	0.855295i
$577$	4.34065	−	2.50607i	0.180704	−	0.104329i	−0.406920	−	0.913464i	$-0.633397\pi$
$577$	4.34065	−	2.50607i	0.180704	−	0.104329i	0.587623	+	0.809135i	$0.300064\pi$
$578$	1.16805	−	19.0861i	0.0485845	−	0.793878i
$579$	20.7103	−	3.61541i	0.860690	−	0.150251i
$580$	9.14038	−	3.87908i	0.379534	−	0.161070i
$581$	13.6578	−	24.7801i	0.566623	−	1.02805i
$582$	23.5625	+	31.9590i	0.976696	+	1.32474i
$583$	24.4331	−	14.1064i	1.01191	−	0.584229i
$584$	−0.544234	−	1.53740i	−0.0225206	−	0.0636180i
$585$	21.5036	−	7.74379i	0.889063	−	0.320166i
$586$	−17.0569	+	25.7682i	−0.704616	+	1.06447i
$587$	10.2852	−	17.8145i	0.424517	−	0.735285i	−0.571858	−	0.820352i	$-0.693777\pi$
$587$	10.2852	−	17.8145i	0.424517	−	0.735285i	0.996375	+	0.0850676i	$0.0271106\pi$
$588$	24.1499	−	2.18699i	0.995925	−	0.0901901i
$589$	3.48781	+	6.04106i	0.143713	+	0.248918i
$590$	24.6079	+	1.50598i	1.01309	+	0.0620000i
$591$	−7.06300	−	8.44653i	−0.290533	−	0.347444i
$592$	−4.34003	−	1.08276i	−0.178374	−	0.0445011i
$593$	−15.5093	−	8.95431i	−0.636891	−	0.367709i	0.146525	−	0.989207i	$-0.453191\pi$
$593$	−15.5093	−	8.95431i	−0.636891	−	0.367709i	−0.783416	+	0.621498i	$0.786525\pi$
$594$	−30.7279	−	20.5666i	−1.26078	−	0.843858i
$595$	−5.10966	−	8.45764i	−0.209476	−	0.346730i
$596$	5.51887	−	7.32268i	0.226062	−	0.299949i
$597$	−1.19937	+	3.27786i	−0.0490870	+	0.134154i
$598$	−28.1578	−	18.6387i	−1.15146	−	0.762194i
$599$	−18.2010	−	10.5083i	−0.743672	−	0.429360i	0.0797306	−	0.996816i	$-0.474594\pi$
$599$	−18.2010	−	10.5083i	−0.743672	−	0.429360i	−0.823403	+	0.567457i	$0.807927\pi$
$600$	−4.22729	+	2.38158i	−0.172578	+	0.0972278i
$601$	−17.3571	−	10.0211i	−0.708012	−	0.408771i	0.102312	−	0.994752i	$-0.467376\pi$
$601$	−17.3571	−	10.0211i	−0.708012	−	0.408771i	−0.810325	+	0.585981i	$0.800709\pi$
$602$	29.3266	+	1.21065i	1.19526	+	0.0493425i
$603$	23.2778	−	27.5503i	0.947947	−	1.12193i
$604$	37.5246	+	28.2811i	1.52685	+	1.15074i
$605$			28.6710i			1.16564i
$606$	3.72045	−	8.51591i	0.151133	−	0.345935i
$607$	−18.5971			−0.754833			−0.377417	−	0.926044i	$-0.623188\pi$
$607$	−18.5971			−0.754833			−0.377417	+	0.926044i	$0.623188\pi$
$608$	−34.5457	+	7.65203i	−1.40101	+	0.310331i
$609$	−11.1517	+	2.17586i	−0.451890	+	0.0881704i
$610$	−5.00132	−	3.31056i	−0.202498	−	0.134041i
$611$	−12.8515	−	7.41984i	−0.519918	−	0.300175i
$612$	10.6905	+	3.30914i	0.432138	+	0.133764i
$613$	16.7357	+	28.9871i	0.675949	+	1.17078i	0.976191	+	0.216915i	$0.0695993\pi$
$613$	16.7357	+	28.9871i	0.675949	+	1.17078i	−0.300242	+	0.953863i	$0.597067\pi$
$614$	6.33122	−	3.15634i	0.255507	−	0.127380i
$615$	−8.79538	+	24.0376i	−0.354664	+	0.969289i
$616$	37.1519	+	6.12918i	1.49689	+	0.246952i
$617$	−12.3643	−	21.4156i	−0.497769	−	0.862161i	0.502228	−	0.864735i	$-0.332514\pi$
$617$	−12.3643	−	21.4156i	−0.497769	−	0.862161i	−0.999997	+	0.00257408i	$0.999181\pi$
$618$	20.8014	+	9.08778i	0.836756	+	0.365564i
$619$	−42.6300			−1.71345			−0.856723	−	0.515777i	$-0.827503\pi$
$619$	−42.6300			−1.71345			−0.856723	+	0.515777i	$0.827503\pi$
$620$	−4.11133	+	1.74481i	−0.165115	+	0.0700731i
$621$	−16.1605	−	28.3241i	−0.648498	−	1.13661i
$622$	−1.76173	+	28.7870i	−0.0706391	+	1.15425i
$623$	−13.7508	−	7.57889i	−0.550913	−	0.303642i
$624$	1.88735	−	26.2919i	0.0755545	−	1.05252i
$625$	−19.0670			−0.762681
$626$	16.4484	−	24.8488i	0.657409	−	0.993159i
$627$	9.37456	+	53.7006i	0.374384	+	2.14460i
$628$	−30.1824	+	12.8091i	−1.20441	+	0.511138i
$629$		−	2.08574i		−	0.0831639i
$630$	−21.4435	+	6.73678i	−0.854330	+	0.268400i
$631$			43.8344i			1.74502i	0.488596	+	0.872510i	$0.337509\pi$
$631$			43.8344i			1.74502i	−0.488596	+	0.872510i	$0.662491\pi$
$632$	−3.73720	−	10.5572i	−0.148658	−	0.419941i
$633$	29.7259	+	10.8767i	1.18150	+	0.432311i
$634$	14.2411	+	9.42673i	0.565587	+	0.374383i
$635$	4.43749			0.176097
$636$	10.5497	+	16.3084i	0.418322	+	0.646670i
$637$	22.5175	−	14.2220i	0.892177	−	0.563495i
$638$	−17.6103	−	1.07773i	−0.697197	−	0.0426677i
$639$	−11.3637	−	2.04367i	−0.449541	−	0.0808465i
$640$	−2.16563	−	22.5508i	−0.0856041	−	0.891398i
$641$	26.2084			1.03517			0.517584	−	0.855632i	$-0.326832\pi$
$641$	26.2084			1.03517			0.517584	+	0.855632i	$0.326832\pi$
$642$	−11.4004	−	15.4630i	−0.449938	−	0.610275i
$643$	24.8988	+	43.1259i	0.981911	+	1.70072i	0.654930	+	0.755690i	$0.272698\pi$
$643$	24.8988	+	43.1259i	0.981911	+	1.70072i	0.326981	+	0.945031i	$0.393969\pi$
$644$	26.9118	+	19.4566i	1.06047	+	0.766696i
$645$	−26.8016	+	4.67877i	−1.05531	+	0.184226i
$646$	−7.36116	−	14.7655i	−0.289621	−	0.580942i
$647$	7.44967	+	12.9032i	0.292877	+	0.507277i	0.974489	−	0.224436i	$-0.0720541\pi$
$647$	7.44967	+	12.9032i	0.292877	+	0.507277i	−0.681612	+	0.731714i	$0.738721\pi$
$648$	13.0714	−	21.8435i	0.513491	−	0.858095i
$649$	−37.9376	−	21.9033i	−1.48918	−	0.859778i
$650$	−2.94145	+	4.44370i	−0.115373	+	0.174296i
$651$	5.01602	−	0.978699i	0.196593	−	0.0383583i
$652$	9.30909	−	3.95068i	0.364572	−	0.154721i
$653$	43.2148			1.69113			0.845563	−	0.533876i	$-0.179265\pi$
$653$	43.2148			1.69113			0.845563	+	0.533876i	$0.179265\pi$
$654$	−4.51765	−	40.2737i	−0.176654	−	1.57483i
$655$			31.8436i			1.24423i
$656$	21.2324	+	20.5098i	0.828984	+	0.800772i
$657$	−0.586090	−	1.62750i	−0.0228655	−	0.0634949i
$658$	12.3269	+	7.81203i	0.480554	+	0.304545i
$659$	28.1704	+	16.2642i	1.09736	+	0.633562i	0.935527	−	0.353256i	$-0.114925\pi$
$659$	28.1704	+	16.2642i	1.09736	+	0.633562i	0.161835	+	0.986818i	$0.448259\pi$
$660$	−34.8580	+	1.76476i	−1.35685	+	0.0686932i
$661$	26.1675	+	15.1078i	1.01780	+	0.587627i	0.913466	−	0.406916i	$-0.133396\pi$
$661$	26.1675	+	15.1078i	1.01780	+	0.587627i	0.104333	+	0.994542i	$0.466729\pi$
$662$	0.994933	−	1.50306i	0.0386692	−	0.0584182i
$663$	12.1081	−	2.11372i	0.470239	−	0.0820901i
$664$	22.9989	+	19.6472i	0.892530	+	0.762460i
$665$	29.0213	+	15.9954i	1.12540	+	0.620275i
$666$	−4.60946	−	1.12344i	−0.178613	−	0.0435322i
$667$	−13.4755	−	7.78009i	−0.521774	−	0.301246i
$668$	17.6951	+	2.17399i	0.684646	+	0.0841142i
$669$	28.0944	−	4.90446i	1.08619	−	0.189617i
$670$	2.07967	−	33.9821i	0.0803445	−	1.31284i
$671$	5.32858	+	9.22937i	0.205708	+	0.356296i
$672$	−2.92100	+	25.7579i	−0.112680	+	0.993631i
$673$	−7.60245	+	13.1678i	−0.293053	+	0.507582i	−0.974530	−	0.224257i	$-0.928005\pi$
$673$	−7.60245	+	13.1678i	−0.293053	+	0.507582i	0.681477	+	0.731839i	$0.261338\pi$
$674$	14.4469	+	9.56294i	0.556474	+	0.368351i
$675$	−4.46994	+	2.55035i	−0.172048	+	0.0981631i
$676$	−1.15291	−	2.71664i	−0.0443428	−	0.104486i
$677$	35.2936	−	20.3768i	1.35644	−	0.783143i	0.367301	−	0.930102i	$-0.380282\pi$
$677$	35.2936	−	20.3768i	1.35644	−	0.783143i	0.989143	+	0.146959i	$0.0469484\pi$
$678$	−5.30157	−	47.2622i	−0.203605	−	1.81509i
$679$	−37.5602	−	20.7017i	−1.44143	−	0.794459i
$680$	9.95804	−	3.52511i	0.381873	−	0.135182i
$681$	−0.490454	−	0.586526i	−0.0187942	−	0.0224757i
$682$	7.92108	+	0.484761i	0.303314	+	0.0185625i
$683$	1.67736	−	0.968424i	0.0641824	−	0.0370557i	−0.467565	−	0.883958i	$-0.654869\pi$
$683$	1.67736	−	0.968424i	0.0641824	−	0.0370557i	0.531748	+	0.846903i	$0.321535\pi$
$684$	−36.5966	+	8.31497i	−1.39931	+	0.317931i
$685$			8.61373i			0.329114i
$686$	−22.7026	+	13.0611i	−0.866789	+	0.498675i
$687$	7.14131	−	5.97157i	0.272458	−	0.227830i
$688$	−7.59548	+	30.4450i	−0.289575	+	1.16071i
$689$	18.4747	+	10.6664i	0.703831	+	0.406357i
$690$	−28.2075	−	12.3233i	−1.07384	−	0.469142i
$691$	−8.02376	−	13.8976i	−0.305238	−	0.528688i	0.672076	−	0.740482i	$-0.265403\pi$
$691$	−8.02376	−	13.8976i	−0.305238	−	0.528688i	−0.977314	+	0.211794i	$0.932069\pi$
$692$	0.740696	−	6.02888i	0.0281570	−	0.229184i
$693$	39.4402	+	6.28700i	1.49821	+	0.238823i
$694$	−12.1901	−	0.746021i	−0.462730	−	0.0283186i
$695$	7.62070	−	4.39981i	0.289069	−	0.166894i
$696$	0.128007	−	12.1458i	0.00485208	−	0.460386i
$697$	−6.88257	+	11.9210i	−0.260696	+	0.451538i
$698$	11.2691	+	0.689657i	0.426542	+	0.0261039i
$699$	11.5410	−	2.01472i	0.436520	−	0.0762036i
$700$	3.07052	−	4.24706i	0.116055	−	0.160524i
$701$	−15.9608			−0.602830			−0.301415	−	0.953493i	$-0.597459\pi$
$701$	−15.9608			−0.602830			−0.301415	+	0.953493i	$0.597459\pi$
$702$	1.85044	−	27.8973i	0.0698405	−	1.05291i
$703$	3.49731	+	6.05751i	0.131903	+	0.228463i
$704$	−14.4339	+	37.5771i	−0.543996	+	1.41624i
$705$	−12.7038	−	4.64833i	−0.478452	−	0.175066i
$706$	11.9401	+	23.9503i	0.449372	+	0.901383i
$707$	0.199381	+	10.0358i	0.00749849	+	0.377433i
$708$	13.7394	−	26.8472i	0.516360	−	1.00898i
$709$	1.54644	+	2.67851i	0.0580776	+	0.100593i	0.893602	−	0.448859i	$-0.148170\pi$
$709$	1.54644	+	2.67851i	0.0580776	+	0.100593i	−0.835525	+	0.549453i	$0.814836\pi$
$710$	−9.75382	+	4.86263i	−0.366054	+	0.182491i
$711$	−4.02462	−	11.1759i	−0.150935	−	0.419128i
$712$	10.9025	−	12.7623i	0.408587	−	0.478289i
$713$	6.06127	+	3.49947i	0.226996	+	0.131056i
$714$	−11.9831	+	1.58579i	−0.448458	+	0.0593469i
$715$	−33.1983	+	19.1671i	−1.24155	+	0.716808i
$716$	1.13152	−	9.21002i	0.0422871	−	0.344195i
$717$	−0.318395	−	0.116501i	−0.0118907	−	0.00435081i
$718$	−37.1580	−	2.27403i	−1.38672	−	0.0848660i
$719$	12.5658	−	21.7645i	0.468624	−	0.811680i	−0.530733	−	0.847539i	$-0.678083\pi$
$719$	12.5658	−	21.7645i	0.468624	−	0.811680i	0.999357	+	0.0358588i	$0.0114167\pi$
$720$	−2.42679	−	23.9059i	−0.0904412	−	0.890920i
$721$	−24.5139	+	0.487019i	−0.912945	+	0.0181375i
$722$	23.7311	+	15.7085i	0.883179	+	0.584609i
$723$	−17.0773	+	14.2800i	−0.635112	+	0.531081i
$724$	−6.09612	−	4.59445i	−0.226560	−	0.170751i
$725$	−1.22781	+	2.12663i	−0.0455996	+	0.0789809i
$726$	32.1394	+	14.0411i	1.19280	+	0.521116i
$727$	26.4226	−	45.7653i	0.979960	−	1.69734i	0.317474	−	0.948267i	$-0.397165\pi$
$727$	26.4226	−	45.7653i	0.979960	−	1.69734i	0.662486	−	0.749074i	$-0.269501\pi$
$728$	10.0323	+	26.6455i	0.371824	+	0.987549i
$729$	13.7383	−	23.2435i	0.508826	−	0.860869i
$730$	−1.36157	−	0.901273i	−0.0503939	−	0.0333576i
$731$	−14.6313			−0.541159
$732$	−6.16035	+	3.98504i	−0.227693	+	0.147291i
$733$			3.85524i			0.142397i	0.997462	+	0.0711983i	$0.0226823\pi$
$733$			3.85524i			0.142397i	−0.997462	+	0.0711983i	$0.977318\pi$
$734$	−1.97431	+	0.984264i	−0.0728730	+	0.0363299i
$735$	17.9911	−	16.3012i	0.663613	−	0.601278i
$736$	−26.1787	+	23.9796i	−0.964959	+	0.883901i
$737$	−30.2471	+	52.3896i	−1.11417	+	1.92980i
$738$	22.6381	+	21.6313i	0.833318	+	0.796261i
$739$	3.15539	−	1.82177i	0.116073	−	0.0670148i	−0.440840	−	0.897586i	$-0.645319\pi$
$739$	3.15539	−	1.82177i	0.116073	−	0.0670148i	0.556912	+	0.830571i	$0.311986\pi$
$740$	−4.12253	+	1.74956i	−0.151547	+	0.0643150i
$741$	−31.6207	+	26.4413i	−1.16162	+	0.971344i
$742$	−17.7206	−	11.2302i	−0.650543	−	0.412273i
$743$	10.9054	−	6.29626i	0.400082	−	0.230987i	−0.286437	−	0.958099i	$-0.592471\pi$
$743$	10.9054	−	6.29626i	0.400082	−	0.230987i	0.686519	+	0.727112i	$0.259138\pi$
$744$	−0.0575772	+	5.46317i	−0.00211088	+	0.200289i
$745$		−	9.18048i		−	0.336347i
$746$	−45.5607	+	22.7137i	−1.66810	+	0.831607i
$747$	24.5067	+	20.7063i	0.896655	+	0.757604i
$748$	−18.6299	−	2.28883i	−0.681177	−	0.0836880i
$749$	18.1730	+	10.0163i	0.664028	+	0.365987i
$750$	−11.7629	+	26.9247i	−0.429521	+	0.983151i
$751$		−	13.3856i		−	0.488447i	−0.969719	−	0.244223i	$-0.921467\pi$
$751$		−	13.3856i		−	0.488447i	0.969719	−	0.244223i	$-0.0785330\pi$
$752$	−10.8393	+	11.2212i	−0.395270	+	0.409196i
$753$	−15.3021	−	18.2996i	−0.557640	−	0.666873i
$754$	−5.95215	−	11.9392i	−0.216765	−	0.434802i
$755$	47.0448			1.71213
$756$	−2.94985	+	27.3368i	−0.107285	+	0.994228i
$757$	1.72257			0.0626080			0.0313040	−	0.999510i	$-0.490034\pi$
$757$	1.72257			0.0626080			0.0313040	+	0.999510i	$0.490034\pi$
$758$	12.2891	+	24.6504i	0.446360	+	0.895342i
$759$	35.0859	+	41.9587i	1.27354	+	1.52300i
$760$	−23.0099	+	26.9352i	−0.834655	+	0.977041i
$761$			20.7093i			0.750710i	0.926881	+	0.375355i	$0.122479\pi$
$761$			20.7093i			0.750710i	−0.926881	+	0.375355i	$0.877521\pi$
$762$	2.17319	−	4.97430i	0.0787262	−	0.180200i
$763$	22.6354	+	37.4667i	0.819456	+	1.35639i
$764$	−0.920413	+	7.49168i	−0.0332994	+	0.271040i
$765$	10.5416	−	3.79622i	0.381134	−	0.137253i
$766$	−0.125491	+	0.0625621i	−0.00453419	+	0.00226046i
$767$		−	33.1237i		−	1.19603i
$768$	−26.3393	−	8.61624i	−0.950439	−	0.310912i
$769$	−6.19700	+	3.57784i	−0.223470	+	0.129020i	−0.607556	−	0.794277i	$-0.707850\pi$
$769$	−6.19700	+	3.57784i	−0.223470	+	0.129020i	0.384086	+	0.923297i	$0.374517\pi$
$770$	33.3981	−	17.4869i	1.20359	−	0.630184i
$771$	−18.4077	+	15.3925i	−0.662938	+	0.554349i
$772$	−9.48371	−	22.3467i	−0.341326	−	0.804276i
$773$	28.6131	−	16.5198i	1.02914	−	0.594176i	0.112404	−	0.993663i	$-0.464145\pi$
$773$	28.6131	−	16.5198i	1.02914	−	0.594176i	0.916739	+	0.399487i	$0.130812\pi$
$774$	−7.88083	+	32.3351i	−0.283271	+	1.16226i
$775$	0.552266	−	0.956553i	0.0198380	−	0.0343604i
$776$	29.7800	−	34.8603i	1.06904	−	1.25141i
$777$	5.02968	−	0.981365i	0.180439	−	0.0352063i
$778$	33.6236	−	16.7626i	1.20546	−	0.600968i
$779$		−	46.1620i		−	1.65392i
$780$	−14.3343	−	22.1590i	−0.513251	−	0.793419i
$781$	19.3655			0.692952
$782$	−13.8037	−	9.13721i	−0.493621	−	0.326746i
$783$	0.0658453	−	12.8831i	0.00235312	−	0.460405i
$784$	−8.77695	−	26.5888i	−0.313462	−	0.949601i
$785$	−16.4136	+	28.4292i	−0.585827	+	1.01468i
$786$	35.6957	+	15.5948i	1.27322	+	0.556249i
$787$	11.7413	−	20.3366i	0.418533	−	0.724920i	−0.577259	−	0.816561i	$-0.695878\pi$
$787$	11.7413	−	20.3366i	0.418533	−	0.724920i	0.995792	+	0.0916406i	$0.0292111\pi$
$788$	−7.65207	+	10.1531i	−0.272594	+	0.361690i
$789$	−2.15040	+	1.79816i	−0.0765562	+	0.0640163i
$790$	−9.34975	−	6.18895i	−0.332649	−	0.220193i
$791$	26.5632	+	43.9680i	0.944477	+	1.56332i
$792$	−15.0929	+	39.9391i	−0.536301	+	1.41917i
$793$	−4.02913	+	6.97866i	−0.143079	+	0.247820i
$794$	−38.2067	−	2.33821i	−1.35591	−	0.0829799i
$795$	18.2623	+	6.68220i	0.647698	+	0.236993i
$796$	4.00029	+	0.491467i	0.141786	+	0.0174196i
$797$	15.6061	−	9.01016i	0.552795	−	0.319156i	−0.197454	−	0.980312i	$-0.563267\pi$
$797$	15.6061	−	9.01016i	0.552795	−	0.319156i	0.750248	+	0.661156i	$0.229934\pi$
$798$	32.1430	−	24.6985i	1.13785	−	0.874318i
$799$	−6.30018	−	3.63741i	−0.222884	−	0.128682i
$800$	3.78432	+	4.13136i	0.133796	+	0.146066i
$801$	11.4902	−	13.5991i	0.405985	−	0.480500i
$802$	40.4984	−	20.1899i	1.43005	−	0.712932i
$803$	1.45066	+	2.51262i	0.0511928	+	0.0886685i
$804$	−37.0744	−	18.9734i	−1.30751	−	0.669139i
$805$	33.2417	−	0.660415i	1.17162	−	0.0232766i
$806$	2.67727	+	5.37026i	0.0943028	+	0.189159i
$807$	−7.43372	−	2.72000i	−0.261679	−	0.0957486i
$808$	−10.5509	−	1.95668i	−0.371179	−	0.0688356i
$809$	6.22093	+	10.7750i	0.218716	+	0.378828i	0.954416	−	0.298480i	$-0.0964797\pi$
$809$	6.22093	+	10.7750i	0.218716	+	0.378828i	−0.735699	+	0.677308i	$0.763146\pi$
$810$	−2.71159	−	25.3417i	−0.0952756	−	0.890416i
$811$	−11.5370			−0.405118			−0.202559	−	0.979270i	$-0.564926\pi$
$811$	−11.5370			−0.405118			−0.202559	+	0.979270i	$0.564926\pi$
$812$	5.36428	+	11.9729i	0.188249	+	0.420168i
$813$	40.7627	−	7.11598i	1.42961	−	0.249568i
$814$	7.94265	+	0.486082i	0.278390	+	0.0170372i
$815$	5.06242	−	8.76836i	0.177329	−	0.307142i
$816$	0.925231	−	12.8890i	0.0323896	−	0.451206i
$817$	42.4931	−	24.5334i	1.48664	−	0.858315i
$818$	−30.8713	−	1.88929i	−1.07939	−	0.0660574i
$819$	10.7942	+	28.2037i	0.377178	+	0.985516i
$820$	29.3354	+	3.60408i	1.02444	+	0.125860i
$821$	−15.3484	−	26.5841i	−0.535661	−	0.927792i	−0.999131	−	0.0416797i	$-0.986729\pi$
$821$	−15.3484	−	26.5841i	−0.535661	−	0.927792i	0.463470	−	0.886113i	$-0.346604\pi$
$822$	9.65573	+	4.21842i	0.336782	+	0.147134i
$823$	−37.4029	−	21.5946i	−1.30378	−	0.752740i	−0.322734	−	0.946490i	$-0.604602\pi$
$823$	−37.4029	−	21.5946i	−1.30378	−	0.752740i	−0.981051	+	0.193749i	$0.937935\pi$
$824$	4.77948	−	25.7722i	0.166501	−	0.897816i
$825$	6.62167	−	5.53705i	0.230537	−	0.192775i
$826$	−1.34361	+	32.5473i	−0.0467501	+	1.13247i
$827$		−	24.5381i		−	0.853273i	−0.904423	−	0.426637i	$-0.859698\pi$
$827$		−	24.5381i		−	0.853273i	0.904423	−	0.426637i	$-0.140302\pi$
$828$	−27.6282	+	25.5846i	−0.960147	+	0.889125i
$829$	−44.2845	+	25.5676i	−1.53806	+	0.888001i	−0.539110	+	0.842235i	$0.681239\pi$
$829$	−44.2845	+	25.5676i	−1.53806	+	0.888001i	−0.998952	+	0.0457657i	$0.985427\pi$
$830$	30.2280	+	1.84992i	1.04923	+	0.0642117i
$831$	13.6723	+	16.3505i	0.474287	+	0.567193i
$832$	−30.0637	+	4.75494i	−1.04227	+	0.164848i
$833$	11.0387	−	6.97200i	0.382469	−	0.241565i
$834$	−1.19995	−	10.6973i	−0.0415510	−	0.370417i
$835$	15.4582	−	8.92477i	0.534952	−	0.308854i
$836$	57.9438	−	24.5907i	2.00403	−	0.850488i
$837$	−0.0296171	+	5.79481i	−0.00102372	+	0.200298i
$838$	22.7080	+	15.0313i	0.784434	+	0.519246i
$839$	14.4267	−	24.9878i	0.498066	−	0.862675i	−0.501932	−	0.864907i	$-0.667377\pi$
$839$	14.4267	−	24.9878i	0.498066	−	0.862675i	0.999998	+	0.00223194i	$0.000710448\pi$
$840$	13.1861	+	22.3548i	0.454962	+	0.771315i
$841$	11.4263	+	19.7909i	0.394011	+	0.682447i
$842$	−2.91755	+	47.6733i	−0.100546	+	1.64293i
$843$	−22.8184	+	3.98344i	−0.785909	+	0.137197i
$844$	4.45696	−	36.2773i	0.153415	−	1.24872i
$845$	−2.55884	−	1.47735i	−0.0880268	−	0.0508223i
$846$	−11.4321	+	11.9641i	−0.393043	+	0.411335i
$847$	−37.8754	+	0.752472i	−1.30141	+	0.0258552i
$848$	15.5821	−	16.1311i	0.535091	−	0.553943i
$849$	11.0064	−	1.92140i	0.377739	−	0.0659422i
$850$	−1.44198	+	2.17842i	−0.0494595	+	0.0747193i
$851$	6.07778	+	3.50901i	0.208344	+	0.120287i
$852$	0.674107	+	13.3151i	0.0230945	+	0.456169i
$853$	−2.27160	−	1.31151i	−0.0777781	−	0.0449052i	0.460607	−	0.887604i	$-0.347632\pi$
$853$	−2.27160	−	1.31151i	−0.0777781	−	0.0449052i	−0.538385	+	0.842699i	$0.680965\pi$
$854$	4.24210	−	6.69379i	0.145162	−	0.229057i
$855$	−24.2502	+	28.7011i	−0.829340	+	0.981557i
$856$	−14.4087	+	16.8667i	−0.492479	+	0.576493i
$857$			20.7061i			0.707307i	0.935376	+	0.353654i	$0.115061\pi$
$857$			20.7061i			0.707307i	−0.935376	+	0.353654i	$0.884939\pi$
$858$	5.22741	+	46.6011i	0.178461	+	1.59094i
$859$	54.5095			1.85984			0.929920	−	0.367763i	$-0.119876\pi$
$859$	54.5095			1.85984			0.929920	+	0.367763i	$0.119876\pi$
$860$	12.2730	+	28.9193i	0.418507	+	0.986139i
$861$	−31.9853	−	10.9881i	−1.09006	−	0.374474i
$862$	−2.32354	+	3.51021i	−0.0791400	+	0.119558i
$863$	−27.4054	−	15.8225i	−0.932891	−	0.538605i	−0.0451662	−	0.998979i	$-0.514382\pi$
$863$	−27.4054	−	15.8225i	−0.932891	−	0.538605i	−0.887725	+	0.460375i	$0.847715\pi$
$864$	−27.9863	−	8.98713i	−0.952112	−	0.305748i
$865$	−3.04074	−	5.26672i	−0.103388	−	0.179074i
$866$	16.1478	+	32.3903i	0.548723	+	1.10067i
$867$	−23.0705	+	4.02743i	−0.783515	+	0.136779i
$868$	−2.41285	−	5.38541i	−0.0818973	−	0.182793i
$869$	9.96155	+	17.2539i	0.337922	+	0.585299i
$870$	−7.21664	−	9.78830i	−0.244667	−	0.331855i
$871$	−45.7419			−1.54991
$872$	−44.1133	+	15.6160i	−1.49387	+	0.528823i
$873$	31.3853	−	37.1458i	1.06223	−	1.25720i
$874$	55.4106	+	3.39107i	1.87429	+	0.114705i
$875$	−0.630381	−	31.7300i	−0.0213108	−	1.07267i
$876$	−1.67711	+	1.08490i	−0.0566641	+	0.0366552i
$877$	7.91019			0.267108			0.133554	−	0.991042i	$-0.457361\pi$
$877$	7.91019			0.267108			0.133554	+	0.991042i	$0.457361\pi$
$878$	−34.3532	−	22.7397i	−1.15936	−	0.767427i
$879$	35.5426	+	13.0051i	1.19882	+	0.438650i
$880$	11.1032	+	38.7425i	0.374288	+	1.30601i
$881$		−	22.7935i		−	0.767932i	−0.923347	−	0.383966i	$-0.874558\pi$
$881$		−	22.7935i		−	0.767932i	0.923347	−	0.383966i	$-0.125442\pi$
$882$	−9.46229	−	28.1508i	−0.318612	−	0.947885i
$883$			13.4192i			0.451591i	0.974175	+	0.225795i	$0.0724981\pi$
$883$			13.4192i			0.451591i	−0.974175	+	0.225795i	$0.927502\pi$
$884$	−5.54457	−	13.0648i	−0.186484	−	0.439417i
$885$	−5.19260	−	29.7449i	−0.174547	−	0.999865i
$886$	19.8226	−	29.9463i	0.665953	−	1.00607i
$887$	58.3174			1.95811			0.979053	−	0.203605i	$-0.0652659\pi$
$887$	58.3174			1.95811			0.979053	+	0.203605i	$0.0652659\pi$
$888$	−0.0577340	+	5.47805i	−0.00193743	+	0.183831i
$889$	0.116462	+	5.86207i	0.00390601	+	0.196608i
$890$	1.02654	−	16.7739i	0.0344098	−	0.562261i
$891$	−15.7782	+	42.4480i	−0.528590	+	1.42206i
$892$	−12.8651	−	30.3143i	−0.430754	−	1.01500i
$893$	24.3964			0.816395
$894$	−10.2910	−	4.49598i	−0.344184	−	0.150368i
$895$	−4.64519	−	8.04571i	−0.155272	−	0.268938i
$896$	29.7335	−	3.45272i	0.993325	−	0.115347i
$897$	−14.2111	+	38.8387i	−0.474495	+	1.29679i
$898$	−38.9229	+	19.4045i	−1.29887	+	0.647535i
$899$	1.38254	+	2.39463i	0.0461103	+	0.0798654i
$900$	4.03761	+	4.36012i	0.134587	+	0.145337i
$901$	9.05682	+	5.22896i	0.301727	+	0.174202i
$902$	−43.7919	−	28.9875i	−1.45811	−	0.965178i
$903$	−6.88421	−	35.2829i	−0.229092	−	1.17414i
$904$	−51.7680	+	18.3257i	−1.72178	+	0.609504i
$905$	−7.64273			−0.254053
$906$	23.0393	−	52.7358i	0.765431	−	1.75203i
$907$			2.07741i			0.0689794i	0.999405	+	0.0344897i	$0.0109806\pi$
$907$			2.07741i			0.0689794i	−0.999405	+	0.0344897i	$0.989019\pi$
$908$	−0.531359	+	0.705031i	−0.0176338	+	0.0233973i
$909$	−11.2020	−	2.01460i	−0.371547	−	0.0668199i
$910$	24.0778	+	15.2590i	0.798171	+	0.505830i
$911$	−39.6927	−	22.9166i	−1.31508	−	0.759261i	−0.332147	−	0.943228i	$-0.607773\pi$
$911$	−39.6927	−	22.9166i	−1.31508	−	0.759261i	−0.982933	+	0.183966i	$0.941106\pi$
$912$	18.9248	+	38.9844i	0.626664	+	1.29090i
$913$	−46.6020	−	26.9057i	−1.54230	−	0.890449i
$914$	−12.9555	−	8.57573i	−0.428530	−	0.283660i
$915$	−2.52414	+	6.89843i	−0.0834455	+	0.228055i
$916$	−8.58417	−	6.46961i	−0.283629	−	0.213762i
$917$	−42.0664	+	0.835735i	−1.38915	+	0.0275984i
$918$	0.907138	−	13.6760i	0.0299400	−	0.451376i
$919$	−3.35149	−	1.93498i	−0.110555	−	0.0638292i	0.443703	−	0.896174i	$-0.353665\pi$
$919$	−3.35149	−	1.93498i	−0.110555	−	0.0638292i	−0.554258	+	0.832345i	$0.686998\pi$
$920$	−6.48115	+	34.9480i	−0.213677	+	1.15220i
$921$	−5.55800	−	6.64673i	−0.183142	−	0.219017i
$922$	−23.4509	−	1.43517i	−0.772314	−	0.0472648i
$923$	7.32148	+	12.6812i	0.240989	+	0.417406i
$924$	−3.24615	−	46.0022i	−0.106791	−	1.51336i
$925$	0.553771	−	0.959159i	0.0182079	−	0.0315369i
$926$	−6.24089	+	9.42821i	−0.205088	+	0.309830i
$927$	4.92096	−	27.3626i	0.161626	−	0.898707i
$928$	−13.6936	+	3.03321i	−0.449516	+	0.0995700i
$929$	6.96346	−	4.02036i	0.228464	−	0.131904i	−0.381399	−	0.924410i	$-0.624558\pi$
$929$	6.96346	−	4.02036i	0.228464	−	0.131904i	0.609863	+	0.792507i	$0.291224\pi$
$930$	3.24604	+	4.40276i	0.106442	+	0.144372i
$931$	−20.3688	+	38.7578i	−0.667560	+	1.27024i
$932$	−5.28487	−	12.4529i	−0.173112	−	0.407908i
$933$	34.7965	−	6.07445i	1.13918	−	0.198869i
$934$	−2.18799	+	35.7521i	−0.0715932	+	1.16985i
$935$	−16.2747	+	9.39623i	−0.532241	+	0.307290i
$936$	−31.8596	+	5.21638i	−1.04136	+	0.170503i
$937$		−	51.2010i		−	1.67267i	−0.548222	−	0.836333i	$-0.684695\pi$
$937$		−	51.2010i		−	1.67267i	0.548222	−	0.836333i	$-0.315305\pi$
$938$	44.9460	+	1.85544i	1.46754	+	0.0605824i
$939$	−34.2745	−	12.5411i	−1.11851	−	0.409262i
$940$	−1.90475	+	15.5036i	−0.0621259	+	0.505673i
$941$	−48.6046	−	28.0619i	−1.58446	−	0.914790i	−0.994196	−	0.107582i	$-0.965689\pi$
$941$	−48.6046	−	28.0619i	−1.58446	−	0.914790i	−0.590267	−	0.807208i	$-0.700977\pi$
$942$	23.8300	+	32.3219i	0.776424	+	1.05310i
$943$	−23.1582	−	40.1112i	−0.754134	−	1.30620i
$944$	−33.7885	−	8.42962i	−1.09972	−	0.274361i
$945$	14.1144	+	23.6346i	0.459142	+	0.768835i
$946$	3.40983	−	55.7172i	0.110863	−	1.81152i
$947$	7.57213	−	4.37177i	0.246061	−	0.142063i	−0.371898	−	0.928274i	$-0.621293\pi$
$947$	7.57213	−	4.37177i	0.246061	−	0.142063i	0.617959	+	0.786210i	$0.287960\pi$
$948$	−11.5165	+	7.44986i	−0.374039	+	0.241960i
$949$	−1.09690	+	1.89988i	−0.0356068	+	0.0616728i
$950$	0.535158	−	8.74456i	0.0173628	−	0.283711i
$951$	7.18742	−	19.6431i	0.233068	−	0.636970i
$952$	4.91814	+	13.0624i	0.159398	+	0.423354i
$953$	−0.861914			−0.0279201			−0.0139601	−	0.999903i	$-0.504444\pi$
$953$	−0.861914			−0.0279201			−0.0139601	+	0.999903i	$0.504444\pi$
$954$	16.4342	−	17.1990i	0.532077	−	0.556839i
$955$	3.77853	+	6.54460i	0.122270	+	0.211778i
$956$	−0.0477387	+	0.388568i	−0.00154398	+	0.0125672i
$957$	3.71601	+	21.2865i	0.120121	+	0.688096i
$958$	−5.30015	+	2.64232i	−0.171240	+	0.0853694i
$959$	−11.3790	+	0.226067i	−0.367447	+	0.00730010i
$960$	−26.2517	+	8.98282i	−0.847269	+	0.289919i
$961$	14.8781	+	25.7697i	0.479940	+	0.831280i
$962$	2.68456	+	5.38488i	0.0865537	+	0.173616i
$963$	−15.1854	+	17.9725i	−0.489343	+	0.579157i
$964$	20.5277	+	15.4710i	0.661152	+	0.498289i
$965$	−21.0487	−	12.1525i	−0.677581	−	0.391201i
$966$	15.5392	−	37.5864i	0.499967	−	1.20932i
$967$	34.3142	−	19.8113i	1.10347	−	0.637090i	0.166341	−	0.986068i	$-0.446805\pi$
$967$	34.3142	−	19.8113i	1.10347	−	0.637090i	0.937131	+	0.348979i	$0.113471\pi$
$968$	7.38458	−	39.8195i	0.237349	−	1.27985i
$969$	−15.5014	+	12.9622i	−0.497975	+	0.416407i
$970$	2.80400	−	45.8178i	0.0900309	−	1.47112i
$971$	−5.76791	+	9.99031i	−0.185101	+	0.320604i	−0.943611	−	0.331058i	$-0.892595\pi$
$971$	−5.76791	+	9.99031i	−0.185101	+	0.320604i	0.758510	+	0.651662i	$0.225928\pi$
$972$	−29.7352	−	9.37103i	−0.953758	−	0.300576i
$973$	6.01230	+	9.95171i	0.192745	+	0.319037i
$974$	−26.8640	+	40.5839i	−0.860779	+	1.30039i
$975$	6.12929	+	2.24271i	0.196294	+	0.0718242i
$976$	6.09336	+	5.88600i	0.195044	+	0.188406i
$977$	2.46473	−	4.26903i	0.0788536	−	0.136578i	−0.823902	−	0.566732i	$-0.808207\pi$
$977$	2.46473	−	4.26903i	0.0788536	−	0.136578i	0.902756	+	0.430154i	$0.141541\pi$
$978$	−7.34985	−	9.96897i	−0.235022	−	0.318773i
$979$	−14.9303	+	25.8600i	−0.477174	+	0.826489i
$980$	−23.0399	−	15.9701i	−0.735981	−	0.510147i
$981$	−46.6987	+	16.8170i	−1.49097	+	0.536924i
$982$	10.9883	−	16.6003i	0.350652	−	0.529735i
$983$	−6.53487			−0.208430			−0.104215	−	0.994555i	$-0.533233\pi$
$983$	−6.53487			−0.208430			−0.104215	+	0.994555i	$0.533233\pi$
$984$	18.4066	−	31.1190i	0.586779	−	0.992039i
$985$			12.7290i			0.405579i
$986$	−2.91791	−	5.85295i	−0.0929251	−	0.186396i
$987$	5.80718	−	16.9041i	0.184844	−	0.538064i
$988$	38.0095	+	28.6465i	1.20924	+	0.911368i
$989$	24.6155	−	42.6352i	0.782726	−	1.35572i
$990$	11.9996	+	41.0281i	0.381371	+	1.30396i
$991$	9.59915	−	5.54207i	0.304927	−	0.176050i	−0.339727	−	0.940524i	$-0.610335\pi$
$991$	9.59915	−	5.54207i	0.304927	−	0.176050i	0.644654	+	0.764474i	$0.277001\pi$
$992$	6.15938	−	1.36433i	0.195560	−	0.0433176i
$993$	−2.07320	−	0.758587i	−0.0657912	−	0.0240730i
$994$	−6.67968	−	12.7575i	−0.211867	−	0.404643i
$995$	3.49458	−	2.01760i	0.110786	−	0.0639621i
$996$	16.8773	−	32.9787i	0.534779	−	1.04497i
$997$		−	12.6388i		−	0.400275i	−0.979768	−	0.200138i	$-0.935861\pi$
$997$		−	12.6388i		−	0.400275i	0.979768	−	0.200138i	$-0.0641389\pi$
$998$	9.89927	+	19.8567i	0.313356	+	0.628552i
$999$	−0.0296978	+	5.81059i	−0.000939597	+	0.183839i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	252.2.n.b.187.7	yes	84
3.2	odd	2		756.2.n.b.19.36		84
4.3	odd	2	inner	252.2.n.b.187.35	yes	84
7.3	odd	6		252.2.bj.b.115.21	yes	84
9.4	even	3		252.2.bj.b.103.21	yes	84
9.5	odd	6		756.2.bj.b.523.22		84
12.11	even	2		756.2.n.b.19.8		84
21.17	even	6		756.2.bj.b.451.22		84
28.3	even	6		252.2.bj.b.115.22	yes	84
36.23	even	6		756.2.bj.b.523.21		84
36.31	odd	6		252.2.bj.b.103.22	yes	84
63.31	odd	6	inner	252.2.n.b.31.35	yes	84
63.59	even	6		756.2.n.b.199.8		84
84.59	odd	6		756.2.bj.b.451.21		84
252.31	even	6	inner	252.2.n.b.31.7	✓	84
252.59	odd	6		756.2.n.b.199.36		84

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
252.2.n.b.31.7	✓	84	252.31	even	6	inner
252.2.n.b.31.35	yes	84	63.31	odd	6	inner
252.2.n.b.187.7	yes	84	1.1	even	1	trivial
252.2.n.b.187.35	yes	84	4.3	odd	2	inner
252.2.bj.b.103.21	yes	84	9.4	even	3
252.2.bj.b.103.22	yes	84	36.31	odd	6
252.2.bj.b.115.21	yes	84	7.3	odd	6
252.2.bj.b.115.22	yes	84	28.3	even	6
756.2.n.b.19.8		84	12.11	even	2
756.2.n.b.19.36		84	3.2	odd	2
756.2.n.b.199.8		84	63.59	even	6
756.2.n.b.199.36		84	252.59	odd	6
756.2.bj.b.451.21		84	84.59	odd	6
756.2.bj.b.451.22		84	21.17	even	6
756.2.bj.b.523.21		84	36.23	even	6
756.2.bj.b.523.22		84	9.5	odd	6

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.n (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.26565 + 0.630973i) q^{2} +(1.11108 + 1.32872i) q^{3} +(1.20375 - 1.59718i) q^{4} -2.00240i q^{5} +(-2.24463 - 0.980638i) q^{6} +(2.64523 - 0.0525529i) q^{7} +(-0.515742 + 2.78101i) q^{8} +(-0.531008 + 2.95263i) q^{9} +O(q^{10})\)	\(q+(-1.26565 + 0.630973i) q^{2} +(1.11108 + 1.32872i) q^{3} +(1.20375 - 1.59718i) q^{4} -2.00240i q^{5} +(-2.24463 - 0.980638i) q^{6} +(2.64523 - 0.0525529i) q^{7} +(-0.515742 + 2.78101i) q^{8} +(-0.531008 + 2.95263i) q^{9} +(1.26346 + 2.53433i) q^{10} -5.03174i q^{11} +(3.45967 - 0.175153i) q^{12} +(3.29495 - 1.90234i) q^{13} +(-3.31478 + 1.73558i) q^{14} +(2.66063 - 2.22482i) q^{15} +(-1.10199 - 3.84521i) q^{16} +(1.61527 - 0.932579i) q^{17} +(-1.19096 - 4.07205i) q^{18} +(-3.12744 + 5.41689i) q^{19} +(-3.19819 - 2.41038i) q^{20} +(3.00889 + 3.45639i) q^{21} +(3.17489 + 6.36842i) q^{22} +6.27581i q^{23} +(-4.26822 + 2.40464i) q^{24} +0.990411 q^{25} +(-2.96993 + 4.48672i) q^{26} +(-4.51322 + 2.57504i) q^{27} +(3.10025 - 4.28818i) q^{28} +(-1.23970 + 2.14722i) q^{29} +(-1.96363 + 4.49463i) q^{30} +(0.557613 - 0.965814i) q^{31} +(3.82096 + 4.17136i) q^{32} +(6.68578 - 5.59066i) q^{33} +(-1.45594 + 2.19952i) q^{34} +(-0.105232 - 5.29680i) q^{35} +(4.07670 + 4.40233i) q^{36} +(0.559132 - 0.968445i) q^{37} +(0.540339 - 8.82923i) q^{38} +(6.18863 + 2.26442i) q^{39} +(5.56868 + 1.03272i) q^{40} +(-6.39139 + 3.69007i) q^{41} +(-5.98909 - 2.47605i) q^{42} +(-6.79358 - 3.92228i) q^{43} +(-8.03661 - 6.05693i) q^{44} +(5.91234 + 1.06329i) q^{45} +(-3.95987 - 7.94299i) q^{46} +(-1.95019 - 3.37783i) q^{47} +(3.88481 - 5.73657i) q^{48} +(6.99448 - 0.278029i) q^{49} +(-1.25351 + 0.624923i) q^{50} +(3.03384 + 1.11008i) q^{51} +(0.927894 - 7.55257i) q^{52} +(2.80349 + 4.85579i) q^{53} +(4.08738 - 6.10683i) q^{54} -10.0755 q^{55} +(-1.21810 + 7.38351i) q^{56} +(-10.6724 + 1.86309i) q^{57} +(0.214186 - 3.49984i) q^{58} +(4.35302 - 7.53966i) q^{59} +(-0.350726 - 6.92763i) q^{60} +(-1.83423 + 1.05899i) q^{61} +(-0.0963407 + 1.57422i) q^{62} +(-1.24947 + 7.83829i) q^{63} +(-7.46802 - 2.86856i) q^{64} +(-3.80924 - 6.59779i) q^{65} +(-4.93431 + 11.2944i) q^{66} +(-10.4118 - 6.01127i) q^{67} +(0.454879 - 3.70248i) q^{68} +(-8.33881 + 6.97292i) q^{69} +(3.47532 + 6.63750i) q^{70} +3.84867i q^{71} +(-7.93743 - 2.99953i) q^{72} +(-0.499355 + 0.288303i) q^{73} +(-0.0966032 + 1.57851i) q^{74} +(1.10042 + 1.31598i) q^{75} +(4.88713 + 11.5157i) q^{76} +(-0.264432 - 13.3101i) q^{77} +(-9.26144 + 1.03889i) q^{78} +(-3.42902 + 1.97974i) q^{79} +(-7.69962 + 2.20663i) q^{80} +(-8.43606 - 3.13574i) q^{81} +(5.76093 - 8.70314i) q^{82} +(5.34720 - 9.26162i) q^{83} +(9.14242 - 0.645136i) q^{84} +(-1.86739 - 3.23442i) q^{85} +(11.0732 + 0.677665i) q^{86} +(-4.23045 + 0.738514i) q^{87} +(13.9933 + 2.59508i) q^{88} +(-5.13938 - 2.96722i) q^{89} +(-8.15386 + 2.38477i) q^{90} +(8.61592 - 5.20528i) q^{91} +(10.0236 + 7.55448i) q^{92} +(1.90285 - 0.332183i) q^{93} +(4.59958 + 3.04463i) q^{94} +(10.8468 + 6.26238i) q^{95} +(-1.29719 + 9.71171i) q^{96} +(-14.0382 - 8.10496i) q^{97} +(-8.67714 + 4.76522i) q^{98} +(14.8569 + 2.67189i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 84 q - q^{2} + q^{4} - 16 q^{8} - 14 q^{9}+O(q^{10}) \) 84 * q - q^2 + q^4 - 16 * q^8 - 14 * q^9	\( 84 q - q^{2} + q^{4} - 16 q^{8} - 14 q^{9} - 18 q^{10} + 9 q^{12} - 18 q^{13} - 25 q^{14} - 7 q^{16} + 6 q^{17} - 13 q^{18} + 24 q^{20} + 4 q^{21} + 6 q^{22} + 6 q^{24} - 32 q^{25} - 30 q^{26} - 4 q^{28} + 10 q^{29} + 14 q^{30} + 9 q^{32} - 6 q^{33} + 24 q^{34} - 38 q^{36} + 2 q^{37} - 6 q^{41} + 7 q^{42} - 13 q^{44} - 18 q^{45} + 10 q^{46} - 9 q^{48} + 2 q^{49} - 17 q^{50} - 2 q^{53} - 42 q^{54} - 32 q^{56} + 6 q^{57} + 26 q^{58} + 8 q^{60} - 24 q^{61} - 8 q^{64} + 50 q^{65} + 27 q^{66} + 18 q^{69} - 4 q^{70} - 7 q^{72} + 30 q^{73} + 46 q^{74} + 46 q^{77} + 15 q^{78} + 3 q^{80} - 26 q^{81} - 18 q^{82} + 29 q^{84} - 50 q^{85} + 18 q^{86} - 2 q^{88} - 102 q^{89} + 39 q^{90} + 28 q^{92} - 24 q^{93} + 3 q^{94} - 30 q^{96} - 6 q^{97} + 21 q^{98}+O(q^{100}) \) 84 * q - q^2 + q^4 - 16 * q^8 - 14 * q^9 - 18 * q^10 + 9 * q^12 - 18 * q^13 - 25 * q^14 - 7 * q^16 + 6 * q^17 - 13 * q^18 + 24 * q^20 + 4 * q^21 + 6 * q^22 + 6 * q^24 - 32 * q^25 - 30 * q^26 - 4 * q^28 + 10 * q^29 + 14 * q^30 + 9 * q^32 - 6 * q^33 + 24 * q^34 - 38 * q^36 + 2 * q^37 - 6 * q^41 + 7 * q^42 - 13 * q^44 - 18 * q^45 + 10 * q^46 - 9 * q^48 + 2 * q^49 - 17 * q^50 - 2 * q^53 - 42 * q^54 - 32 * q^56 + 6 * q^57 + 26 * q^58 + 8 * q^60 - 24 * q^61 - 8 * q^64 + 50 * q^65 + 27 * q^66 + 18 * q^69 - 4 * q^70 - 7 * q^72 + 30 * q^73 + 46 * q^74 + 46 * q^77 + 15 * q^78 + 3 * q^80 - 26 * q^81 - 18 * q^82 + 29 * q^84 - 50 * q^85 + 18 * q^86 - 2 * q^88 - 102 * q^89 + 39 * q^90 + 28 * q^92 - 24 * q^93 + 3 * q^94 - 30 * q^96 - 6 * q^97 + 21 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more