LMFDB - Embedded newform 483.2.q.e.85.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [483,2,Mod(64,483)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(483, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([0, 0, 12]))

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

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

chi := DirichletCharacter("483.64");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 483 = 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	483.q (of order $11$, degree $10$, 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:	$3.85677441763$
Analytic rank:	$0$
Dimension:	$60$
Relative dimension:	$6$ over $\Q(\zeta_{11})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			85.6
Character	$\chi$	$=$	483.85
Dual form			483.2.q.e.358.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.48993 - 1.71948i) q^{2} +(-0.841254 + 0.540641i) q^{3} +(-0.452064 - 3.14417i) q^{4} +(1.32209 + 2.89498i) q^{5} +(-0.323794 + 2.25204i) q^{6} +(0.959493 - 0.281733i) q^{7} +(-2.25185 - 1.44718i) q^{8} +(0.415415 - 0.909632i) q^{9} +O(q^{10})$	\(q+(1.48993 - 1.71948i) q^{2} +(-0.841254 + 0.540641i) q^{3} +(-0.452064 - 3.14417i) q^{4} +(1.32209 + 2.89498i) q^{5} +(-0.323794 + 2.25204i) q^{6} +(0.959493 - 0.281733i) q^{7} +(-2.25185 - 1.44718i) q^{8} +(0.415415 - 0.909632i) q^{9} +(6.94768 + 2.04002i) q^{10} +(0.122031 + 0.140831i) q^{11} +(2.08017 + 2.40064i) q^{12} +(3.67601 + 1.07937i) q^{13} +(0.945150 - 2.06959i) q^{14} +(-2.67736 - 1.72063i) q^{15} +(0.252175 - 0.0740452i) q^{16} +(-1.01305 + 7.04592i) q^{17} +(-0.945150 - 2.06959i) q^{18} +(-0.981268 - 6.82487i) q^{19} +(8.50465 - 5.46560i) q^{20} +(-0.654861 + 0.755750i) q^{21} +0.423973 q^{22} +(-0.469239 - 4.77282i) q^{23} +2.67678 q^{24} +(-3.35867 + 3.87611i) q^{25} +(7.33298 - 4.71262i) q^{26} +(0.142315 + 0.989821i) q^{27} +(-1.31957 - 2.88945i) q^{28} +(0.469075 - 3.26249i) q^{29} +(-6.94768 + 2.04002i) q^{30} +(-0.771317 - 0.495695i) q^{31} +(2.47235 - 5.41370i) q^{32} +(-0.178797 - 0.0524997i) q^{33} +(10.6059 + 12.2399i) q^{34} +(2.08415 + 2.40524i) q^{35} +(-3.04784 - 0.894925i) q^{36} +(-1.19949 + 2.62651i) q^{37} +(-13.1972 - 8.48134i) q^{38} +(-3.67601 + 1.07937i) q^{39} +(1.21239 - 8.43236i) q^{40} +(0.503349 + 1.10218i) q^{41} +(0.323794 + 2.25204i) q^{42} +(-10.7269 + 6.89377i) q^{43} +(0.387631 - 0.447350i) q^{44} +3.18258 q^{45} +(-8.90589 - 6.30435i) q^{46} -1.24094 q^{47} +(-0.172111 + 0.198627i) q^{48} +(0.841254 - 0.540641i) q^{49} +(1.66068 + 11.5503i) q^{50} +(-2.95708 - 6.47510i) q^{51} +(1.73195 - 12.0460i) q^{52} +(-7.17225 + 2.10596i) q^{53} +(1.91401 + 1.23006i) q^{54} +(-0.246366 + 0.539467i) q^{55} +(-2.56835 - 0.754136i) q^{56} +(4.51530 + 5.21093i) q^{57} +(-4.91088 - 5.66746i) q^{58} +(8.15509 + 2.39455i) q^{59} +(-4.19964 + 9.19592i) q^{60} +(-10.3473 - 6.64978i) q^{61} +(-2.00155 + 0.587708i) q^{62} +(0.142315 - 0.989821i) q^{63} +(-5.40672 - 11.8391i) q^{64} +(1.73526 + 12.0690i) q^{65} +(-0.356669 + 0.229217i) q^{66} +(2.75815 - 3.18307i) q^{67} +22.6115 q^{68} +(2.97513 + 3.76146i) q^{69} +7.24099 q^{70} +(-1.94956 + 2.24992i) q^{71} +(-2.25185 + 1.44718i) q^{72} +(-1.49374 - 10.3892i) q^{73} +(2.72906 + 5.97582i) q^{74} +(0.729909 - 5.07663i) q^{75} +(-21.0150 + 6.17055i) q^{76} +(0.156764 + 0.100746i) q^{77} +(-3.62106 + 7.92901i) q^{78} +(14.2557 + 4.18585i) q^{79} +(0.547758 + 0.632146i) q^{80} +(-0.654861 - 0.755750i) q^{81} +(2.64513 + 0.776680i) q^{82} +(-2.89354 + 6.33597i) q^{83} +(2.67225 + 1.71735i) q^{84} +(-21.7371 + 6.38260i) q^{85} +(-4.12873 + 28.7160i) q^{86} +(1.36922 + 2.99818i) q^{87} +(-0.0709876 - 0.493729i) q^{88} +(-7.46181 + 4.79542i) q^{89} +(4.74184 - 5.47238i) q^{90} +3.83120 q^{91} +(-14.7945 + 3.63299i) q^{92} +0.916867 q^{93} +(-1.84893 + 2.13378i) q^{94} +(18.4605 - 11.8639i) q^{95} +(0.846991 + 5.89095i) q^{96} +(2.39218 + 5.23814i) q^{97} +(0.323794 - 2.25204i) q^{98} +(0.178797 - 0.0524997i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 60 q - q^{2} + 6 q^{3} - 3 q^{4} + 5 q^{5} + q^{6} + 6 q^{7} + 13 q^{8} - 6 q^{9}+O(q^{10}) $ 60 * q - q^2 + 6 * q^3 - 3 * q^4 + 5 * q^5 + q^6 + 6 * q^7 + 13 * q^8 - 6 * q^9	\( 60 q - q^{2} + 6 q^{3} - 3 q^{4} + 5 q^{5} + q^{6} + 6 q^{7} + 13 q^{8} - 6 q^{9} - 4 q^{10} - q^{11} + 3 q^{12} + 22 q^{13} + q^{14} + 6 q^{15} - 5 q^{16} + 9 q^{17} - q^{18} - 34 q^{19} + 67 q^{20} - 6 q^{21} - 28 q^{22} - 13 q^{23} + 42 q^{24} - 15 q^{25} - 4 q^{26} + 6 q^{27} + 14 q^{28} - 23 q^{29} + 4 q^{30} + 27 q^{31} + 37 q^{32} + q^{33} + 3 q^{34} + 6 q^{35} - 3 q^{36} - 82 q^{37} + 2 q^{38} - 22 q^{39} + 57 q^{40} - 22 q^{41} - q^{42} + 25 q^{43} - 41 q^{44} + 16 q^{45} - 47 q^{46} - 90 q^{47} - 28 q^{48} - 6 q^{49} + 55 q^{50} - 9 q^{51} - 92 q^{52} - 17 q^{53} - 10 q^{54} + 21 q^{55} + 9 q^{56} - 32 q^{57} + 87 q^{58} + 38 q^{59} - 45 q^{60} + 23 q^{61} + q^{62} + 6 q^{63} - 75 q^{64} - 75 q^{65} + 61 q^{66} + 5 q^{67} + 88 q^{68} + 13 q^{69} - 18 q^{70} + 8 q^{71} + 13 q^{72} + 90 q^{73} + 79 q^{74} - 18 q^{75} - 85 q^{76} - 10 q^{77} - 18 q^{78} - 6 q^{79} - 147 q^{80} - 6 q^{81} + 112 q^{82} - 90 q^{83} - 3 q^{84} + 55 q^{85} - 8 q^{86} - 10 q^{87} - 210 q^{88} - 15 q^{89} - 4 q^{90} - 22 q^{91} + 39 q^{92} + 50 q^{93} + 144 q^{94} + 72 q^{95} + 7 q^{96} - 48 q^{97} - q^{98} - q^{99}+O(q^{100}) \) 60 * q - q^2 + 6 * q^3 - 3 * q^4 + 5 * q^5 + q^6 + 6 * q^7 + 13 * q^8 - 6 * q^9 - 4 * q^10 - q^11 + 3 * q^12 + 22 * q^13 + q^14 + 6 * q^15 - 5 * q^16 + 9 * q^17 - q^18 - 34 * q^19 + 67 * q^20 - 6 * q^21 - 28 * q^22 - 13 * q^23 + 42 * q^24 - 15 * q^25 - 4 * q^26 + 6 * q^27 + 14 * q^28 - 23 * q^29 + 4 * q^30 + 27 * q^31 + 37 * q^32 + q^33 + 3 * q^34 + 6 * q^35 - 3 * q^36 - 82 * q^37 + 2 * q^38 - 22 * q^39 + 57 * q^40 - 22 * q^41 - q^42 + 25 * q^43 - 41 * q^44 + 16 * q^45 - 47 * q^46 - 90 * q^47 - 28 * q^48 - 6 * q^49 + 55 * q^50 - 9 * q^51 - 92 * q^52 - 17 * q^53 - 10 * q^54 + 21 * q^55 + 9 * q^56 - 32 * q^57 + 87 * q^58 + 38 * q^59 - 45 * q^60 + 23 * q^61 + q^62 + 6 * q^63 - 75 * q^64 - 75 * q^65 + 61 * q^66 + 5 * q^67 + 88 * q^68 + 13 * q^69 - 18 * q^70 + 8 * q^71 + 13 * q^72 + 90 * q^73 + 79 * q^74 - 18 * q^75 - 85 * q^76 - 10 * q^77 - 18 * q^78 - 6 * q^79 - 147 * q^80 - 6 * q^81 + 112 * q^82 - 90 * q^83 - 3 * q^84 + 55 * q^85 - 8 * q^86 - 10 * q^87 - 210 * q^88 - 15 * q^89 - 4 * q^90 - 22 * q^91 + 39 * q^92 + 50 * q^93 + 144 * q^94 + 72 * q^95 + 7 * q^96 - 48 * q^97 - q^98 - q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/483\mathbb{Z}\right)^\times$.

$n$	$323$	$346$	$442$
$\chi(n)$	$1$	$1$	$e\left(\frac{4}{11}\right)$

Coefficient data

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

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

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

$2$	1.48993	−	1.71948i	1.05354	−	1.21585i	0.0777922	−	0.996970i	$-0.475213\pi$
$2$	1.48993	−	1.71948i	1.05354	−	1.21585i	0.975751	−	0.218884i	$-0.0702416\pi$
$3$	−0.841254	+	0.540641i	−0.485698	+	0.312139i
$3$	−0.841254	+	0.540641i	−0.485698	+	0.312139i
$4$	−0.452064	−	3.14417i	−0.226032	−	1.57209i
$5$	1.32209	+	2.89498i	0.591258	+	1.29467i	0.934679	+	0.355493i	$0.115687\pi$
$5$	1.32209	+	2.89498i	0.591258	+	1.29467i	−0.343421	+	0.939181i	$0.611586\pi$
$6$	−0.323794	+	2.25204i	−0.132188	+	0.919390i
$7$	0.959493	−	0.281733i	0.362654	−	0.106485i
$7$	0.959493	−	0.281733i	0.362654	−	0.106485i
$8$	−2.25185	−	1.44718i	−0.796149	−	0.511654i
$9$	0.415415	−	0.909632i	0.138472	−	0.303211i
$10$	6.94768	+	2.04002i	2.19705	+	0.645112i
$11$	0.122031	+	0.140831i	0.0367936	+	0.0424621i	0.773848	−	0.633371i	$-0.218329\pi$
$11$	0.122031	+	0.140831i	0.0367936	+	0.0424621i	−0.737054	+	0.675833i	$0.763784\pi$
$12$	2.08017	+	2.40064i	0.600493	+	0.693006i
$13$	3.67601	+	1.07937i	1.01954	+	0.299365i	0.748452	−	0.663189i	$-0.230798\pi$
$13$	3.67601	+	1.07937i	1.01954	+	0.299365i	0.271090	+	0.962554i	$0.412616\pi$
$14$	0.945150	−	2.06959i	0.252602	−	0.553121i
$15$	−2.67736	−	1.72063i	−0.691291	−	0.444266i
$16$	0.252175	−	0.0740452i	0.0630437	−	0.0185113i
$17$	−1.01305	+	7.04592i	−0.245701	+	1.70889i	0.376824	+	0.926285i	$0.377016\pi$
$17$	−1.01305	+	7.04592i	−0.245701	+	1.70889i	−0.622524	+	0.782600i	$0.713893\pi$
$18$	−0.945150	−	2.06959i	−0.222774	−	0.487807i
$19$	−0.981268	−	6.82487i	−0.225118	−	1.56573i	−0.718255	−	0.695780i	$-0.755059\pi$
$19$	−0.981268	−	6.82487i	−0.225118	−	1.56573i	0.493137	−	0.869952i	$-0.335850\pi$
$20$	8.50465	−	5.46560i	1.90170	−	1.22215i
$21$	−0.654861	+	0.755750i	−0.142902	+	0.164918i
$22$	0.423973			0.0903913
$23$	−0.469239	−	4.77282i	−0.0978430	−	0.995202i
$23$	−0.469239	−	4.77282i	−0.0978430	−	0.995202i
$24$	2.67678			0.546395
$25$	−3.35867	+	3.87611i	−0.671734	+	0.775223i
$26$	7.33298	−	4.71262i	1.43811	−	0.924220i
$27$	0.142315	+	0.989821i	0.0273885	+	0.190491i
$28$	−1.31957	−	2.88945i	−0.249375	−	0.546055i
$29$	0.469075	−	3.26249i	0.0871050	−	0.605829i	−0.898779	−	0.438401i	$-0.855545\pi$
$29$	0.469075	−	3.26249i	0.0871050	−	0.605829i	0.985884	−	0.167427i	$-0.0535460\pi$
$30$	−6.94768	+	2.04002i	−1.26847	+	0.372456i
$31$	−0.771317	−	0.495695i	−0.138533	−	0.0890295i	0.469539	−	0.882912i	$-0.344420\pi$
$31$	−0.771317	−	0.495695i	−0.138533	−	0.0890295i	−0.608071	+	0.793882i	$0.708057\pi$
$32$	2.47235	−	5.41370i	0.437055	−	0.957016i
$33$	−0.178797	−	0.0524997i	−0.0311246	−	0.00913902i
$34$	10.6059	+	12.2399i	1.81890	+	2.09912i
$35$	2.08415	+	2.40524i	0.352285	+	0.406559i
$36$	−3.04784	−	0.894925i	−0.507973	−	0.149154i
$37$	−1.19949	+	2.62651i	−0.197194	+	0.431795i	−0.982237	−	0.187647i	$-0.939914\pi$
$37$	−1.19949	+	2.62651i	−0.197194	+	0.431795i	0.785042	+	0.619442i	$0.212641\pi$
$38$	−13.1972	−	8.48134i	−2.14087	−	1.37586i
$39$	−3.67601	+	1.07937i	−0.588633	+	0.172838i
$40$	1.21239	−	8.43236i	0.191696	−	1.33327i
$41$	0.503349	+	1.10218i	0.0786098	+	0.172132i	0.944856	−	0.327486i	$-0.106201\pi$
$41$	0.503349	+	1.10218i	0.0786098	+	0.172132i	−0.866246	+	0.499617i	$0.833474\pi$
$42$	0.323794	+	2.25204i	0.0499625	+	0.347497i
$43$	−10.7269	+	6.89377i	−1.63584	+	1.05129i	−0.691469	+	0.722406i	$0.743036\pi$
$43$	−10.7269	+	6.89377i	−1.63584	+	1.05129i	−0.944370	+	0.328884i	$0.893327\pi$
$44$	0.387631	−	0.447350i	0.0584375	−	0.0674405i
$45$	3.18258			0.474431
$46$	−8.90589	−	6.30435i	−1.31310	−	0.929525i
$47$	−1.24094			−0.181010			−0.0905052	−	0.995896i	$-0.528848\pi$
$47$	−1.24094			−0.181010			−0.0905052	+	0.995896i	$0.528848\pi$
$48$	−0.172111	+	0.198627i	−0.0248421	+	0.0286693i
$49$	0.841254	−	0.540641i	0.120179	−	0.0772344i
$50$	1.66068	+	11.5503i	0.234856	+	1.63346i
$51$	−2.95708	−	6.47510i	−0.414074	−	0.906695i
$52$	1.73195	−	12.0460i	0.240178	−	1.67047i
$53$	−7.17225	+	2.10596i	−0.985184	+	0.289276i	−0.734363	−	0.678757i	$-0.762519\pi$
$53$	−7.17225	+	2.10596i	−0.985184	+	0.289276i	−0.250821	+	0.968033i	$0.580701\pi$
$54$	1.91401	+	1.23006i	0.260464	+	0.167390i
$55$	−0.246366	+	0.539467i	−0.0332200	+	0.0727417i
$56$	−2.56835	−	0.754136i	−0.343210	−	0.100776i
$57$	4.51530	+	5.21093i	0.598066	+	0.690205i
$58$	−4.91088	−	5.66746i	−0.644830	−	0.744173i
$59$	8.15509	+	2.39455i	1.06170	+	0.311744i	0.765536	−	0.643393i	$-0.222474\pi$
$59$	8.15509	+	2.39455i	1.06170	+	0.311744i	0.296166	+	0.955136i	$0.404292\pi$
$60$	−4.19964	+	9.19592i	−0.542171	+	1.18719i
$61$	−10.3473	−	6.64978i	−1.32483	−	0.851418i	−0.329152	−	0.944277i	$-0.606763\pi$
$61$	−10.3473	−	6.64978i	−1.32483	−	0.851418i	−0.995679	+	0.0928592i	$0.970399\pi$
$62$	−2.00155	+	0.587708i	−0.254197	+	0.0746390i
$63$	0.142315	−	0.989821i	0.0179300	−	0.124706i
$64$	−5.40672	−	11.8391i	−0.675841	−	1.47988i
$65$	1.73526	+	12.0690i	0.215233	+	1.49698i
$66$	−0.356669	+	0.229217i	−0.0439029	+	0.0282147i
$67$	2.75815	−	3.18307i	0.336962	−	0.388874i	−0.561828	−	0.827254i	$-0.689902\pi$
$67$	2.75815	−	3.18307i	0.336962	−	0.388874i	0.898790	+	0.438379i	$0.144447\pi$
$68$	22.6115			2.74205
$69$	2.97513	+	3.76146i	0.358164	+	0.452827i
$70$	7.24099			0.865464
$71$	−1.94956	+	2.24992i	−0.231371	+	0.267016i	−0.859549	−	0.511054i	$-0.829255\pi$
$71$	−1.94956	+	2.24992i	−0.231371	+	0.267016i	0.628178	+	0.778069i	$0.283801\pi$
$72$	−2.25185	+	1.44718i	−0.265383	+	0.170551i
$73$	−1.49374	−	10.3892i	−0.174829	−	1.21597i	−0.868506	−	0.495679i	$-0.834919\pi$
$73$	−1.49374	−	10.3892i	−0.174829	−	1.21597i	0.693676	−	0.720287i	$-0.255990\pi$
$74$	2.72906	+	5.97582i	0.317247	+	0.694675i
$75$	0.729909	−	5.07663i	0.0842826	−	0.586199i
$76$	−21.0150	+	6.17055i	−2.41058	+	0.707811i
$77$	0.156764	+	0.100746i	0.0178649	+	0.0114811i
$78$	−3.62106	+	7.92901i	−0.410004	+	0.897784i
$79$	14.2557	+	4.18585i	1.60389	+	0.470945i	0.956626	−	0.291320i	$-0.0940945\pi$
$79$	14.2557	+	4.18585i	1.60389	+	0.470945i	0.647265	+	0.762265i	$0.275913\pi$
$80$	0.547758	+	0.632146i	0.0612412	+	0.0706761i
$81$	−0.654861	−	0.755750i	−0.0727623	−	0.0839722i
$82$	2.64513	+	0.776680i	0.292106	+	0.0857700i
$83$	−2.89354	+	6.33597i	−0.317607	+	0.695463i	−0.999347	−	0.0361320i	$-0.988496\pi$
$83$	−2.89354	+	6.33597i	−0.317607	+	0.695463i	0.681740	+	0.731595i	$0.261224\pi$
$84$	2.67225	+	1.71735i	0.291566	+	0.187378i
$85$	−21.7371	+	6.38260i	−2.35772	+	0.692290i
$86$	−4.12873	+	28.7160i	−0.445212	+	3.09652i
$87$	1.36922	+	2.99818i	0.146796	+	0.321439i
$88$	−0.0709876	−	0.493729i	−0.00756730	−	0.0526317i
$89$	−7.46181	+	4.79542i	−0.790951	+	0.508313i	−0.872651	−	0.488344i	$-0.837601\pi$
$89$	−7.46181	+	4.79542i	−0.790951	+	0.508313i	0.0817007	+	0.996657i	$0.473965\pi$
$90$	4.74184	−	5.47238i	0.499834	−	0.576839i
$91$	3.83120			0.401619
$92$	−14.7945	+	3.63299i	−1.54243	+	0.378765i
$93$	0.916867			0.0950746
$94$	−1.84893	+	2.13378i	−0.190702	+	0.220082i
$95$	18.4605	−	11.8639i	1.89401	−	1.21721i
$96$	0.846991	+	5.89095i	0.0864456	+	0.601242i
$97$	2.39218	+	5.23814i	0.242889	+	0.531852i	0.991337	−	0.131341i	$-0.0419282\pi$
$97$	2.39218	+	5.23814i	0.242889	+	0.531852i	−0.748449	+	0.663193i	$0.769201\pi$
$98$	0.323794	−	2.25204i	0.0327081	−	0.227490i
$99$	0.178797	−	0.0524997i	0.0179698	−	0.00527642i
$100$	13.7055	+	8.80800i	1.37055	+	0.880800i
$101$	−0.293478	+	0.642627i	−0.0292021	+	0.0639438i	−0.923671	−	0.383186i	$-0.874827\pi$
$101$	−0.293478	+	0.642627i	−0.0292021	+	0.0639438i	0.894469	+	0.447130i	$0.147554\pi$
$102$	−15.5396	−	4.56285i	−1.53865	−	0.451789i
$103$	−12.2909	−	14.1845i	−1.21106	−	1.39764i	−0.893294	−	0.449472i	$-0.851612\pi$
$103$	−12.2909	−	14.1845i	−1.21106	−	1.39764i	−0.317768	−	0.948168i	$-0.602933\pi$
$104$	−6.71578	−	7.75042i	−0.658537	−	0.759992i
$105$	−3.05367	−	0.896637i	−0.298007	−	0.0875028i
$106$	−7.06503	+	15.4703i	−0.686216	+	1.50260i
$107$	1.73617	+	1.11577i	0.167842	+	0.107865i	0.621865	−	0.783125i	$-0.286375\pi$
$107$	1.73617	+	1.11577i	0.167842	+	0.107865i	−0.454023	+	0.890990i	$0.650012\pi$
$108$	3.04784	−	0.894925i	0.293278	−	0.0861142i
$109$	0.173380	−	1.20588i	0.0166068	−	0.115502i	−0.979832	−	0.199824i	$-0.935963\pi$
$109$	0.173380	−	1.20588i	0.0166068	−	0.115502i	0.996439	+	0.0843212i	$0.0268722\pi$
$110$	0.560531	+	1.22739i	0.0534446	+	0.117027i
$111$	−0.410926	−	2.85805i	−0.0390033	−	0.271274i
$112$	0.221099	−	0.142092i	0.0208919	−	0.0134264i
$113$	5.12845	−	5.91855i	0.482444	−	0.556770i	−0.461387	−	0.887199i	$-0.652648\pi$
$113$	5.12845	−	5.91855i	0.482444	−	0.556770i	0.943831	+	0.330429i	$0.107193\pi$
$114$	15.6876			1.46928
$115$	13.1968	−	7.66855i	1.23061	−	0.715096i
$116$	−10.4699			−0.972104
$117$	2.50890	−	2.89543i	0.231948	−	0.267683i
$118$	16.2679	−	10.4548i	1.49758	−	0.962439i
$119$	1.01305	+	7.04592i	0.0928661	+	0.645898i
$120$	3.53895	+	7.74922i	0.323060	+	0.707404i
$121$	1.56052	−	10.8537i	0.141866	−	0.986697i
$122$	−26.8509	+	7.88414i	−2.43097	+	0.713796i
$123$	−1.01933	−	0.655082i	−0.0919096	−	0.0590667i
$124$	−1.20987	+	2.64924i	−0.108649	+	0.237909i
$125$	−0.393412	−	0.115516i	−0.0351879	−	0.0103321i
$126$	−1.48993	−	1.71948i	−0.132734	−	0.153183i
$127$	−0.429947	−	0.496185i	−0.0381516	−	0.0440293i	0.736353	−	0.676598i	$-0.236546\pi$
$127$	−0.429947	−	0.496185i	−0.0381516	−	0.0440293i	−0.774505	+	0.632568i	$0.782001\pi$
$128$	−16.9918	−	4.98924i	−1.50188	−	0.440990i
$129$	5.29700	−	11.5988i	0.466375	−	1.02122i
$130$	23.3378	+	14.9983i	2.04686	+	1.31544i
$131$	9.07745	−	2.66538i	0.793101	−	0.232875i	0.140005	−	0.990151i	$-0.455288\pi$
$131$	9.07745	−	2.66538i	0.793101	−	0.232875i	0.653096	+	0.757275i	$0.273470\pi$
$132$	−0.0842402	+	0.585904i	−0.00733217	+	0.0509964i
$133$	−2.86431	−	6.27196i	−0.248367	−	0.543848i
$134$	−1.36376	−	9.48515i	−0.117811	−	0.819392i
$135$	−2.67736	+	1.72063i	−0.230430	+	0.148089i
$136$	12.4779	−	14.4003i	1.06997	−	1.23481i
$137$	−4.71366			−0.402715			−0.201358	−	0.979518i	$-0.564535\pi$
$137$	−4.71366			−0.402715			−0.201358	+	0.979518i	$0.564535\pi$
$138$	10.9005	+	0.488668i	0.927912	+	0.0415981i
$139$	−18.1447			−1.53901			−0.769505	−	0.638641i	$-0.779497\pi$
$139$	−18.1447			−1.53901			−0.769505	+	0.638641i	$0.779497\pi$
$140$	6.62031	−	7.64025i	0.559518	−	0.645719i
$141$	1.04395	−	0.670905i	0.0879164	−	0.0565004i
$142$	0.963955	+	6.70446i	0.0808933	+	0.562626i
$143$	0.296577	+	0.649412i	0.0248010	+	0.0543066i
$144$	0.0374033	−	0.260146i	0.00311694	−	0.0216788i
$145$	10.0650	−	2.95535i	0.835852	−	0.245428i
$146$	−20.0896	−	12.9108i	−1.66263	−	1.06851i
$147$	−0.415415	+	0.909632i	−0.0342629	+	0.0750252i
$148$	8.80045	+	2.58404i	0.723392	+	0.212407i
$149$	−13.1795	−	15.2100i	−1.07971	−	1.24605i	−0.967636	−	0.252349i	$-0.918797\pi$
$149$	−13.1795	−	15.2100i	−1.07971	−	1.24605i	−0.112072	−	0.993700i	$-0.535749\pi$
$150$	−7.64163	−	8.81891i	−0.623936	−	0.720061i
$151$	−16.0029	−	4.69889i	−1.30230	−	0.382390i	−0.444226	−	0.895915i	$-0.646521\pi$
$151$	−16.0029	−	4.69889i	−1.30230	−	0.382390i	−0.858075	+	0.513525i	$0.828340\pi$
$152$	−7.66712	+	16.7886i	−0.621885	+	1.36174i
$153$	5.98835	+	3.84848i	0.484130	+	0.311131i
$154$	0.406799	−	0.119447i	0.0327808	−	0.00962531i
$155$	0.415275	−	2.88830i	0.0333557	−	0.231994i
$156$	5.05553	+	11.0701i	0.404767	+	0.886315i
$157$	3.22709	+	22.4449i	0.257550	+	1.79130i	0.550154	+	0.835063i	$0.314569\pi$
$157$	3.22709	+	22.4449i	0.257550	+	1.79130i	−0.292604	+	0.956234i	$0.594522\pi$
$158$	28.4375	−	18.2757i	2.26237	−	1.45394i
$159$	4.89511	−	5.64926i	0.388207	−	0.448015i
$160$	18.9412			1.49744
$161$	−1.79489	−	4.44729i	−0.141457	−	0.350495i
$162$	−2.27519			−0.178756
$163$	5.32756	−	6.14834i	0.417287	−	0.481575i	−0.507722	−	0.861521i	$-0.669512\pi$
$163$	5.32756	−	6.14834i	0.417287	−	0.481575i	0.925008	+	0.379946i	$0.124058\pi$
$164$	3.23790	−	2.08087i	0.252837	−	0.162489i
$165$	−0.0844014	−	0.587024i	−0.00657064	−	0.0456998i
$166$	6.58336	+	14.4156i	0.510968	+	1.11886i
$167$	−0.0700653	+	0.487315i	−0.00542181	+	0.0377095i	−0.992353	−	0.123434i	$-0.960609\pi$
$167$	−0.0700653	+	0.487315i	−0.00542181	+	0.0377095i	0.986931	+	0.161144i	$0.0515183\pi$
$168$	2.56835	−	0.754136i	0.198153	−	0.0581828i
$169$	1.41171	+	0.907252i	0.108593	+	0.0697886i
$170$	−21.4122	+	46.8861i	−1.64224	+	3.59600i
$171$	−6.61575	−	1.94256i	−0.505919	−	0.148551i
$172$	26.5245	+	30.6109i	2.02247	+	2.33406i
$173$	8.65989	+	9.99404i	0.658399	+	0.759833i	0.982515	−	0.186184i	$-0.0596122\pi$
$173$	8.65989	+	9.99404i	0.658399	+	0.759833i	−0.324116	+	0.946017i	$0.605067\pi$
$174$	7.19535	+	2.11275i	0.545478	+	0.160167i
$175$	−2.13059	+	4.66535i	−0.161058	+	0.352667i
$176$	0.0412009	+	0.0264782i	0.00310563	+	0.00199587i
$177$	−8.15509	+	2.39455i	−0.612974	+	0.179985i
$178$	−2.87201	+	19.9753i	−0.215266	+	1.49721i
$179$	1.67783	+	3.67395i	0.125407	+	0.274604i	0.961914	−	0.273354i	$-0.0881329\pi$
$179$	1.67783	+	3.67395i	0.125407	+	0.274604i	−0.836506	+	0.547957i	$0.815406\pi$
$180$	−1.43873	−	10.0066i	−0.107237	−	0.745847i
$181$	−9.08493	+	5.83853i	−0.675277	+	0.433974i	−0.832825	−	0.553537i	$-0.813278\pi$
$181$	−9.08493	+	5.83853i	−0.675277	+	0.433974i	0.157547	+	0.987511i	$0.449641\pi$
$182$	5.70824	−	6.58766i	0.423123	−	0.488310i
$183$	12.2998			0.909229
$184$	−5.85046	+	11.4267i	−0.431301	+	0.842391i
$185$	−9.18952			−0.675627
$186$	1.36607	−	1.57653i	0.100165	−	0.115597i
$187$	−1.11590	+	0.717148i	−0.0816030	+	0.0524431i
$188$	0.560986	+	3.90175i	0.0409141	+	0.284564i
$189$	0.415415	+	0.909632i	0.0302170	+	0.0661660i
$190$	7.10535	−	49.4188i	0.515476	−	3.58522i
$191$	11.6426	−	3.41858i	0.842430	−	0.247360i	0.168082	−	0.985773i	$-0.446243\pi$
$191$	11.6426	−	3.41858i	0.842430	−	0.247360i	0.674348	+	0.738413i	$0.264425\pi$
$192$	10.9491	+	7.03657i	0.790184	+	0.507821i
$193$	6.29612	−	13.7866i	0.453205	−	0.992380i	−0.535779	−	0.844358i	$-0.679982\pi$
$193$	6.29612	−	13.7866i	0.453205	−	0.992380i	0.988984	−	0.148022i	$-0.0472906\pi$
$194$	12.5710	+	3.69119i	0.902548	+	0.265012i
$195$	−7.98479	−	9.21494i	−0.571803	−	0.659896i
$196$	−2.08017	−	2.40064i	−0.148584	−	0.171475i
$197$	6.50238	+	1.90927i	0.463275	+	0.136030i	0.505037	−	0.863098i	$-0.331479\pi$
$197$	6.50238	+	1.90927i	0.463275	+	0.136030i	−0.0417618	+	0.999128i	$0.513297\pi$
$198$	0.176125	−	0.385659i	0.0125166	−	0.0274076i
$199$	−14.0569	−	9.03382i	−0.996467	−	0.640391i	−0.0626106	−	0.998038i	$-0.519943\pi$
$199$	−14.0569	−	9.03382i	−0.996467	−	0.640391i	−0.933857	+	0.357647i	$0.883579\pi$
$200$	13.1726	−	3.86784i	0.931447	−	0.273497i
$201$	−0.599403	+	4.16894i	−0.0422786	+	0.294054i
$202$	0.667719	+	1.46210i	0.0469806	+	0.102873i
$203$	−0.469075	−	3.26249i	−0.0329226	−	0.228982i
$204$	−19.0220	+	12.2247i	−1.33181	+	0.855902i
$205$	−2.52531	+	2.91437i	−0.176376	+	0.203548i
$206$	−42.7026			−2.97523
$207$	−4.53644	−	1.55587i	−0.315304	−	0.108140i
$208$	1.00692			0.0698173
$209$	0.841407	−	0.971035i	0.0582013	−	0.0671679i
$210$	−6.09151	+	3.91478i	−0.420354	+	0.270145i
$211$	−0.489076	−	3.40160i	−0.0336694	−	0.234176i	0.966037	−	0.258404i	$-0.0831964\pi$
$211$	−0.489076	−	3.40160i	−0.0336694	−	0.234176i	−0.999706	+	0.0242277i	$0.992287\pi$
$212$	9.86382	+	21.5988i	0.677450	+	1.48341i
$213$	0.423681	−	2.94676i	0.0290301	−	0.201909i
$214$	4.50531	−	1.32288i	0.307977	−	0.0904301i
$215$	−34.1393	−	21.9400i	−2.32828	−	1.49630i
$216$	1.11197	−	2.43488i	0.0756603	−	0.165673i
$217$	−0.879727	−	0.258311i	−0.0597198	−	0.0175353i
$218$	−1.81516	−	2.09481i	−0.122938	−	0.141878i
$219$	6.87345	+	7.93238i	0.464465	+	0.536021i
$220$	1.80755	+	0.530745i	0.121865	+	0.0357828i
$221$	−11.3292	+	24.8074i	−0.762082	+	1.66873i
$222$	−5.52661	−	3.55173i	−0.370921	−	0.238377i
$223$	−22.1982	+	6.51797i	−1.48650	+	0.436476i	−0.921422	−	0.388562i	$-0.872972\pi$
$223$	−22.1982	+	6.51797i	−1.48650	+	0.436476i	−0.565077	+	0.825038i	$0.691154\pi$
$224$	0.846991	−	5.89095i	0.0565919	−	0.393606i
$225$	2.13059	+	4.66535i	0.142040	+	0.311023i
$226$	−2.53575	−	17.6365i	−0.168675	−	1.17316i
$227$	−10.9255	+	7.02140i	−0.725152	+	0.466027i	−0.850425	−	0.526096i	$-0.823655\pi$
$227$	−10.9255	+	7.02140i	−0.725152	+	0.466027i	0.125274	+	0.992122i	$0.460019\pi$
$228$	14.3429	−	16.5526i	0.949880	−	1.09622i
$229$	21.2468			1.40402			0.702012	−	0.712165i	$-0.252285\pi$
$229$	21.2468			1.40402			0.702012	+	0.712165i	$0.252285\pi$
$230$	6.47654	−	34.1173i	0.427051	−	2.24963i
$231$	−0.186346			−0.0122607
$232$	−5.77768	+	6.66780i	−0.379323	+	0.437762i
$233$	−7.45121	+	4.78860i	−0.488145	+	0.313712i	−0.761459	−	0.648213i	$-0.775517\pi$
$233$	−7.45121	+	4.78860i	−0.488145	+	0.313712i	0.273314	+	0.961925i	$0.411880\pi$
$234$	−1.24052	−	8.62800i	−0.0810953	−	0.564030i
$235$	−1.64064	−	3.59251i	−0.107024	−	0.234349i
$236$	3.84226	−	26.7235i	0.250110	−	1.73955i
$237$	−14.2557	+	4.18585i	−0.926007	+	0.271900i
$238$	13.6247	+	8.75604i	0.883156	+	0.567570i
$239$	1.67423	−	3.66605i	0.108297	−	0.237137i	−0.847723	−	0.530439i	$-0.822027\pi$
$239$	1.67423	−	3.66605i	0.108297	−	0.237137i	0.956020	+	0.293302i	$0.0947543\pi$
$240$	−0.802567	−	0.235655i	−0.0518055	−	0.0152115i
$241$	4.29577	+	4.95759i	0.276715	+	0.319346i	0.877047	−	0.480405i	$-0.159510\pi$
$241$	4.29577	+	4.95759i	0.276715	+	0.319346i	−0.600332	+	0.799751i	$0.704965\pi$
$242$	−16.3375	−	18.8545i	−1.05022	−	1.21202i
$243$	0.959493	+	0.281733i	0.0615515	+	0.0180732i
$244$	−16.2305	+	35.5397i	−1.03905	+	2.27520i
$245$	2.67736	+	1.72063i	0.171050	+	0.109927i
$246$	−2.64513	+	0.776680i	−0.168647	+	0.0495193i
$247$	3.75944	−	26.1474i	0.239207	−	1.66372i
$248$	1.01953	+	2.23246i	0.0647404	+	0.141762i
$249$	−0.991282	−	6.89452i	−0.0628200	−	0.436922i
$250$	−0.784787	+	0.504352i	−0.0496343	+	0.0318980i
$251$	16.4192	−	18.9488i	1.03637	−	1.19604i	0.0560898	−	0.998426i	$-0.482137\pi$
$251$	16.4192	−	18.9488i	1.03637	−	1.19604i	0.980281	−	0.197610i	$-0.0633179\pi$
$252$	−3.17651			−0.200101
$253$	0.614898	−	0.648513i	0.0386583	−	0.0407717i
$254$	−1.49377			−0.0937276
$255$	14.8357	−	17.1214i	0.929050	−	1.07218i
$256$	−11.9973	+	7.71020i	−0.749831	+	0.481887i
$257$	0.881706	+	6.13240i	0.0549993	+	0.382529i	0.998666	+	0.0516316i	$0.0164422\pi$
$257$	0.881706	+	6.13240i	0.0549993	+	0.382529i	−0.943667	+	0.330897i	$0.892649\pi$
$258$	−12.0517	−	26.3896i	−0.750306	−	1.64294i
$259$	−0.410926	+	2.85805i	−0.0255337	+	0.177591i
$260$	37.1626	−	10.9119i	2.30473	−	0.676729i
$261$	−2.77280	−	1.78197i	−0.171632	−	0.110301i
$262$	8.94175	−	19.5797i	0.552423	−	1.20964i
$263$	19.9971	+	5.87168i	1.23307	+	0.362063i	0.832409	−	0.554162i	$-0.186961\pi$
$263$	19.9971	+	5.87168i	1.23307	+	0.362063i	0.400665	+	0.916225i	$0.368779\pi$
$264$	0.326649	+	0.376973i	0.0201038	+	0.0232011i
$265$	−15.5791	−	17.9792i	−0.957016	−	1.10446i
$266$	−15.0521	−	4.41970i	−0.922904	−	0.270989i
$267$	3.68468	−	8.06832i	0.225499	−	0.493773i
$268$	−11.2550	−	7.23315i	−0.687509	−	0.441835i
$269$	5.66208	−	1.66254i	0.345223	−	0.101367i	−0.104525	−	0.994522i	$-0.533332\pi$
$269$	5.66208	−	1.66254i	0.345223	−	0.101367i	0.449748	+	0.893156i	$0.351514\pi$
$270$	−1.03050	+	7.16729i	−0.0627143	+	0.436187i
$271$	2.81997	+	6.17487i	0.171301	+	0.375096i	0.975738	−	0.218941i	$-0.0702603\pi$
$271$	2.81997	+	6.17487i	0.171301	+	0.375096i	−0.804437	+	0.594038i	$0.797533\pi$
$272$	0.266251	+	1.85181i	0.0161438	+	0.112283i
$273$	−3.22301	+	2.07130i	−0.195066	+	0.125361i
$274$	−7.02305	+	8.10503i	−0.424278	+	0.489643i
$275$	−0.955736			−0.0576331
$276$	10.4817	−	11.0547i	0.630927	−	0.665418i
$277$	8.93279			0.536719			0.268360	−	0.963319i	$-0.413518\pi$
$277$	8.93279			0.536719			0.268360	+	0.963319i	$0.413518\pi$
$278$	−27.0344	+	31.1993i	−1.62141	+	1.87121i
$279$	−0.771317	+	0.495695i	−0.0461776	+	0.0296765i
$280$	−1.21239	−	8.43236i	−0.0724542	−	0.503930i
$281$	5.82338	+	12.7514i	0.347393	+	0.760686i	0.999996	+	0.00298478i	$0.000950086\pi$
$281$	5.82338	+	12.7514i	0.347393	+	0.760686i	−0.652602	+	0.757701i	$0.726323\pi$
$282$	0.401810	−	2.79465i	0.0239275	−	0.166419i
$283$	24.9658	−	7.33061i	1.48406	−	0.435760i	0.563420	−	0.826170i	$-0.309485\pi$
$283$	24.9658	−	7.33061i	1.48406	−	0.435760i	0.920641	+	0.390411i	$0.127667\pi$
$284$	7.95545	+	5.11266i	0.472069	+	0.303381i
$285$	−9.11589	+	19.9610i	−0.539979	+	1.18239i
$286$	1.55853	+	0.457625i	0.0921577	+	0.0270600i
$287$	0.793479	+	0.915724i	0.0468376	+	0.0540535i
$288$	−3.89742	−	4.49786i	−0.229658	−	0.265039i
$289$	−32.3073	−	9.48627i	−1.90043	−	0.558016i
$290$	9.91453	−	21.7098i	0.582201	−	1.27484i
$291$	−4.84438	−	3.11329i	−0.283982	−	0.182504i
$292$	−31.9902	+	9.39318i	−1.87209	+	0.549694i
$293$	−2.15934	+	15.0186i	−0.126150	+	0.877393i	0.824220	+	0.566270i	$0.191614\pi$
$293$	−2.15934	+	15.0186i	−0.126150	+	0.877393i	−0.950370	+	0.311123i	$0.899295\pi$
$294$	0.945150	+	2.06959i	0.0551222	+	0.120701i
$295$	3.84961	+	26.7746i	0.224133	+	1.55888i
$296$	6.50209	−	4.17864i	0.377926	−	0.242878i
$297$	−0.122031	+	0.140831i	−0.00708093	+	0.00817183i
$298$	−45.7898			−2.65253
$299$	3.42673	−	18.0514i	0.198173	−	1.04394i
$300$	−16.2918			−0.940606
$301$	−8.35020	+	9.63665i	−0.481298	+	0.555447i
$302$	−31.9230	+	20.5157i	−1.83696	+	1.18054i
$303$	−0.100541	−	0.699278i	−0.00577593	−	0.0401725i
$304$	−0.752800	−	1.64840i	−0.0431760	−	0.0945423i
$305$	5.57094	−	38.7467i	0.318991	−	2.21863i
$306$	15.5396	−	4.56285i	0.888342	−	0.260841i
$307$	20.0368	+	12.8769i	1.14356	+	0.734922i	0.968347	−	0.249609i	$-0.0803020\pi$
$307$	20.0368	+	12.8769i	1.14356	+	0.734922i	0.175214	+	0.984530i	$0.443938\pi$
$308$	0.245896	−	0.538437i	0.0140112	−	0.0306803i
$309$	18.0085	+	5.28778i	1.02447	+	0.300811i
$310$	−4.34764	−	5.01744i	−0.246929	−	0.284971i
$311$	13.2763	+	15.3217i	0.752832	+	0.868814i	0.994840	−	0.101460i	$-0.0323515\pi$
$311$	13.2763	+	15.3217i	0.752832	+	0.868814i	−0.242008	+	0.970274i	$0.577806\pi$
$312$	9.83987	+	2.88925i	0.557073	+	0.163571i
$313$	5.39800	−	11.8200i	0.305113	−	0.668104i	−0.693517	−	0.720441i	$-0.743940\pi$
$313$	5.39800	−	11.8200i	0.305113	−	0.668104i	0.998630	+	0.0523366i	$0.0166669\pi$
$314$	43.4016	+	27.8925i	2.44929	+	1.57407i
$315$	3.05367	−	0.896637i	0.172055	−	0.0505198i
$316$	6.71655	−	46.7147i	0.377836	−	2.62790i
$317$	−1.65012	−	3.61326i	−0.0926800	−	0.202941i	0.857615	−	0.514293i	$-0.171946\pi$
$317$	−1.65012	−	3.61326i	−0.0926800	−	0.202941i	−0.950295	+	0.311352i	$0.899218\pi$
$318$	−2.42037	−	16.8341i	−0.135728	−	0.944007i
$319$	0.516700	−	0.332063i	0.0289296	−	0.0185920i
$320$	27.1257	−	31.3047i	1.51637	−	1.74999i
$321$	−2.06378			−0.115189
$322$	−10.3213	−	3.53990i	−0.575182	−	0.197271i
$323$	49.0815			2.73097
$324$	−2.08017	+	2.40064i	−0.115565	+	0.133369i
$325$	−16.5303	+	10.6234i	−0.916935	+	0.589279i
$326$	−2.63420	−	18.3212i	−0.145895	−	1.01472i
$327$	0.506093	+	1.10819i	0.0279870	+	0.0612829i
$328$	0.461583	−	3.21038i	0.0254866	−	0.177263i
$329$	−1.19068	+	0.349615i	−0.0656442	+	0.0192749i
$330$	−1.13513	−	0.729502i	−0.0624867	−	0.0401578i
$331$	−13.8685	+	30.3679i	−0.762284	+	1.66917i	−0.0193416	+	0.999813i	$0.506157\pi$
$331$	−13.8685	+	30.3679i	−0.762284	+	1.66917i	−0.742942	+	0.669356i	$0.766570\pi$
$332$	21.2294	+	6.23353i	1.16512	+	0.342109i
$333$	1.89087	+	2.18218i	0.103619	+	0.119583i
$334$	0.733534	+	0.846543i	0.0401372	+	0.0463208i
$335$	12.8615	+	3.77647i	0.702697	+	0.206330i
$336$	−0.109180	+	0.239070i	−0.00595624	+	0.0130424i
$337$	14.5076	+	9.32347i	0.790279	+	0.507882i	0.872431	−	0.488738i	$-0.162543\pi$
$337$	14.5076	+	9.32347i	0.790279	+	0.507882i	−0.0821511	+	0.996620i	$0.526179\pi$
$338$	3.66336	−	1.07566i	0.199260	−	0.0585081i
$339$	−1.11452	+	7.75165i	−0.0605324	+	0.421012i
$340$	29.8946	+	65.4600i	1.62126	+	3.55006i
$341$	−0.0243151	−	0.169115i	−0.00131674	−	0.00915810i
$342$	−13.1972	+	8.48134i	−0.713624	+	0.458618i
$343$	0.654861	−	0.755750i	0.0353592	−	0.0408066i
$344$	34.1319			1.84027
$345$	−6.95596	+	13.5859i	−0.374496	+	0.731443i
$346$	30.0872			1.61750
$347$	11.1189	−	12.8319i	0.596894	−	0.688853i	−0.374255	−	0.927326i	$-0.622101\pi$
$347$	11.1189	−	12.8319i	0.596894	−	0.688853i	0.971149	+	0.238473i	$0.0766469\pi$
$348$	8.80782	−	5.66044i	0.472149	−	0.303432i
$349$	5.08146	+	35.3424i	0.272005	+	1.89183i	0.427530	+	0.904001i	$0.359384\pi$
$349$	5.08146	+	35.3424i	0.272005	+	1.89183i	−0.155525	+	0.987832i	$0.549707\pi$
$350$	4.84751	+	10.6146i	0.259111	+	0.567373i
$351$	−0.545237	+	3.79221i	−0.0291026	+	0.202413i
$352$	1.06412	−	0.312453i	0.0567177	−	0.0166538i
$353$	10.3332	+	6.64076i	0.549982	+	0.353452i	0.785932	−	0.618313i	$-0.212184\pi$
$353$	10.3332	+	6.64076i	0.549982	+	0.353452i	−0.235950	+	0.971765i	$0.575820\pi$
$354$	−8.03318	+	17.5902i	−0.426959	+	0.934909i
$355$	−9.09096	−	2.66935i	−0.482498	−	0.141674i
$356$	18.4508	+	21.2934i	0.977893	+	1.12855i
$357$	−4.66154	−	5.37971i	−0.246715	−	0.284724i
$358$	8.81713	+	2.58894i	0.466000	+	0.136830i
$359$	8.29324	−	18.1597i	0.437700	−	0.958430i	−0.554314	−	0.832308i	$-0.687019\pi$
$359$	8.29324	−	18.1597i	0.437700	−	0.958430i	0.992015	−	0.126123i	$-0.0402533\pi$
$360$	−7.16670	−	4.60576i	−0.377718	−	0.242745i
$361$	−27.3856	+	8.04113i	−1.44135	+	0.423217i
$362$	−3.49674	+	24.3203i	−0.183784	+	1.27825i
$363$	4.55514	+	9.97437i	0.239083	+	0.523518i
$364$	−1.73195	−	12.0460i	−0.0907787	−	0.631380i
$365$	28.1017	−	18.0599i	1.47091	−	0.945296i
$366$	18.3259	−	21.1493i	0.957912	−	1.10549i
$367$	15.5237			0.810332			0.405166	−	0.914243i	$-0.367214\pi$
$367$	15.5237			0.810332			0.405166	+	0.914243i	$0.367214\pi$
$368$	−0.471735	−	1.16884i	−0.0245909	−	0.0609300i
$369$	1.21168			0.0630774
$370$	−13.6918	+	15.8012i	−0.711802	+	0.821464i
$371$	−6.28840	+	4.04131i	−0.326478	+	0.209814i
$372$	−0.414482	−	2.88279i	−0.0214899	−	0.149466i
$373$	1.10533	+	2.42032i	0.0572316	+	0.125320i	0.936087	−	0.351768i	$-0.114420\pi$
$373$	1.10533	+	2.42032i	0.0572316	+	0.125320i	−0.878855	+	0.477088i	$0.841692\pi$
$374$	−0.429505	+	2.98728i	−0.0222092	+	0.154468i
$375$	0.393412	−	0.115516i	0.0203157	−	0.00596524i
$376$	2.79442	+	1.79587i	0.144111	+	0.0926147i
$377$	5.24577	−	11.4866i	0.270171	−	0.591592i
$378$	2.18303	+	0.640996i	0.112283	+	0.0329693i
$379$	5.80314	+	6.69718i	0.298087	+	0.344011i	0.884959	−	0.465669i	$-0.154186\pi$
$379$	5.80314	+	6.69718i	0.298087	+	0.344011i	−0.586872	+	0.809680i	$0.699641\pi$
$380$	−45.6474	−	52.6799i	−2.34166	−	2.70242i
$381$	0.629953	+	0.184971i	0.0322735	+	0.00947634i
$382$	11.4686	−	25.1127i	0.586783	−	1.28488i
$383$	−21.6432	−	13.9092i	−1.10592	−	0.710729i	−0.145516	−	0.989356i	$-0.546484\pi$
$383$	−21.6432	−	13.9092i	−1.10592	−	0.710729i	−0.960399	+	0.278627i	$0.910121\pi$
$384$	16.9918	−	4.98924i	0.867108	−	0.254606i
$385$	−0.0844014	+	0.587024i	−0.00430149	+	0.0299175i
$386$	−14.3249	−	31.3671i	−0.729118	−	1.59655i
$387$	1.81467	+	12.6213i	0.0922450	+	0.641578i
$388$	15.3882	−	9.88939i	0.781217	−	0.502058i
$389$	−6.46027	+	7.45555i	−0.327549	+	0.378011i	−0.895508	−	0.445045i	$-0.853188\pi$
$389$	−6.46027	+	7.45555i	−0.327549	+	0.378011i	0.567960	+	0.823057i	$0.307733\pi$
$390$	−27.7417			−1.40476
$391$	34.1043	+	1.52889i	1.72473	+	0.0773192i
$392$	−2.67678			−0.135198
$393$	−6.19542	+	7.14990i	−0.312518	+	0.360665i
$394$	12.9711	−	8.33600i	0.653473	−	0.419961i
$395$	6.72940	+	46.8040i	0.338593	+	2.35497i
$396$	−0.245896	−	0.538437i	−0.0123567	−	0.0270575i
$397$	−0.430249	+	2.99245i	−0.0215936	+	0.150187i	−0.997766	−	0.0668113i	$-0.978717\pi$
$397$	−0.430249	+	2.99245i	−0.0215936	+	0.150187i	0.976172	+	0.216998i	$0.0696265\pi$
$398$	−36.4773	+	10.7107i	−1.82844	+	0.536879i
$399$	5.80048	+	3.72775i	0.290387	+	0.186621i
$400$	−0.559965	+	1.22615i	−0.0279982	+	0.0613076i
$401$	18.8197	+	5.52595i	0.939810	+	0.275953i	0.715538	−	0.698574i	$-0.246182\pi$
$401$	18.8197	+	5.52595i	0.939810	+	0.275953i	0.224271	+	0.974527i	$0.428000\pi$
$402$	6.27532	+	7.24211i	0.312985	+	0.361204i
$403$	−2.30033	−	2.65472i	−0.114588	−	0.132241i
$404$	2.15320	+	0.632237i	0.107126	+	0.0314550i
$405$	1.32209	−	2.89498i	0.0656953	−	0.143853i
$406$	−6.30866	−	4.05433i	−0.313094	−	0.201213i
$407$	−0.516267	+	0.151590i	−0.0255904	+	0.00751402i
$408$	−2.71171	+	18.8604i	−0.134250	+	0.933727i
$409$	2.01500	+	4.41224i	0.0996354	+	0.218171i	0.952885	−	0.303332i	$-0.0980990\pi$
$409$	2.01500	+	4.41224i	0.0996354	+	0.218171i	−0.853250	+	0.521503i	$0.825372\pi$
$410$	1.24863	+	8.68444i	0.0616656	+	0.428894i
$411$	3.96539	−	2.54840i	0.195598	−	0.125703i
$412$	−39.0423	+	45.0572i	−1.92347	+	2.21981i
$413$	8.49938			0.418227
$414$	−9.43428	+	5.48216i	−0.463669	+	0.269433i
$415$	−22.1680			−1.08819
$416$	14.9318	−	17.2322i	0.732092	−	0.844879i
$417$	15.2643	−	9.80974i	0.747494	−	0.480385i
$418$	−0.416031	−	2.89356i	−0.0203487	−	0.141529i
$419$	−8.18713	−	17.9273i	−0.399967	−	0.875806i	−0.997274	−	0.0737929i	$-0.976490\pi$
$419$	−8.18713	−	17.9273i	−0.399967	−	0.875806i	0.597306	−	0.802013i	$-0.296238\pi$
$420$	−1.43873	+	10.0066i	−0.0702029	+	0.488272i
$421$	11.2188	−	3.29415i	0.546773	−	0.160547i	0.00333201	−	0.999994i	$-0.498939\pi$
$421$	11.2188	−	3.29415i	0.546773	−	0.160547i	0.543441	+	0.839447i	$0.317121\pi$
$422$	−6.57766	−	4.22721i	−0.320196	−	0.205777i
$423$	−0.515507	+	1.12880i	−0.0250648	+	0.0548843i
$424$	19.1985	+	5.63719i	0.932363	+	0.273766i
$425$	−23.9083	−	27.5916i	−1.15972	−	1.33839i
$426$	−4.43563	−	5.11899i	−0.214907	−	0.248016i
$427$	−11.8016	−	3.46526i	−0.571119	−	0.167696i
$428$	2.72331	−	5.96321i	0.131636	−	0.288242i
$429$	−0.600595	−	0.385979i	−0.0289970	−	0.0186352i
$430$	−88.5906	+	26.0126i	−4.27222	+	1.25444i
$431$	−1.80582	+	12.5597i	−0.0869831	+	0.604981i	0.898976	+	0.437997i	$0.144312\pi$
$431$	−1.80582	+	12.5597i	−0.0869831	+	0.604981i	−0.985960	+	0.166984i	$0.946597\pi$
$432$	0.109180	+	0.239070i	0.00525291	+	0.0115023i
$433$	−4.18034	−	29.0749i	−0.200894	−	1.39725i	−0.801638	−	0.597810i	$-0.796038\pi$
$433$	−4.18034	−	29.0749i	−0.200894	−	1.39725i	0.600744	−	0.799442i	$-0.294871\pi$
$434$	−1.75490	+	1.12780i	−0.0842377	+	0.0541363i
$435$	−6.86943	+	7.92774i	−0.329364	+	0.380106i
$436$	−3.86988			−0.185334
$437$	−32.1134	+	7.88591i	−1.53619	+	0.377234i
$438$	23.8805			1.14106
$439$	3.28126	−	3.78677i	0.156606	−	0.180733i	−0.672025	−	0.740529i	$-0.734575\pi$
$439$	3.28126	−	3.78677i	0.156606	−	0.180733i	0.828630	+	0.559796i	$0.189121\pi$
$440$	1.33548	−	0.858264i	0.0636667	−	0.0409161i
$441$	−0.142315	−	0.989821i	−0.00677690	−	0.0471344i
$442$	25.7760	+	56.4416i	1.22604	+	2.68466i
$443$	−5.88344	+	40.9202i	−0.279531	+	1.94418i	0.0467550	+	0.998906i	$0.485112\pi$
$443$	−5.88344	+	40.9202i	−0.279531	+	1.94418i	−0.326286	+	0.945271i	$0.605797\pi$
$444$	−8.80045	+	2.58404i	−0.417651	+	0.122633i
$445$	−23.7478	−	15.2618i	−1.12576	−	0.723479i
$446$	−21.8663	+	47.8806i	−1.03540	+	2.26721i
$447$	19.3104	+	5.67006i	0.913353	+	0.268185i
$448$	−8.52317	−	9.83626i	−0.402682	−	0.464720i
$449$	−16.4934	−	19.0344i	−0.778370	−	0.898287i	0.218621	−	0.975810i	$-0.429844\pi$
$449$	−16.4934	−	19.0344i	−0.778370	−	0.898287i	−0.996991	+	0.0775233i	$0.975299\pi$
$450$	11.1964	+	3.28756i	0.527804	+	0.154977i
$451$	−0.0937969	+	0.205387i	−0.00441672	+	0.00967128i
$452$	−20.9273	−	13.4492i	−0.984339	−	0.632596i
$453$	16.0029	−	4.69889i	0.751884	−	0.220773i
$454$	−4.20517	+	29.2476i	−0.197358	+	1.37266i
$455$	5.06520	+	11.0912i	0.237460	+	0.519966i
$456$	−2.62664	−	18.2687i	−0.123004	−	0.855509i
$457$	5.02281	−	3.22797i	0.234957	−	0.150998i	−0.417865	−	0.908509i	$-0.637221\pi$
$457$	5.02281	−	3.22797i	0.234957	−	0.150998i	0.652822	+	0.757511i	$0.273585\pi$
$458$	31.6563	−	36.5333i	1.47920	−	1.70709i
$459$	−7.11837			−0.332257
$460$	−30.0771	−	38.0265i	−1.40235	−	1.77299i
$461$	−0.350358			−0.0163178			−0.00815890	−	0.999967i	$-0.502597\pi$
$461$	−0.350358			−0.0163178			−0.00815890	+	0.999967i	$0.502597\pi$
$462$	−0.277643	+	0.320417i	−0.0129171	+	0.0149072i
$463$	12.0364	−	7.73536i	0.559381	−	0.359492i	−0.230195	−	0.973144i	$-0.573937\pi$
$463$	12.0364	−	7.73536i	0.559381	−	0.359492i	0.789577	+	0.613652i	$0.210300\pi$
$464$	−0.123283	−	0.857450i	−0.00572325	−	0.0398061i
$465$	1.21218	+	2.65431i	0.0562136	+	0.123091i
$466$	−2.86793	+	19.9469i	−0.132854	+	0.924022i
$467$	−19.5758	+	5.74797i	−0.905860	+	0.265984i	−0.701297	−	0.712869i	$-0.747395\pi$
$467$	−19.5758	+	5.74797i	−0.905860	+	0.265984i	−0.204563	+	0.978854i	$0.565577\pi$
$468$	−10.2379	−	6.57951i	−0.473248	−	0.304138i
$469$	1.74965	−	3.83120i	0.0807913	−	0.176908i
$470$	−8.62169	−	2.53156i	−0.397689	−	0.116772i
$471$	−14.8494	−	17.1371i	−0.684225	−	0.789638i
$472$	−14.8987	−	17.1940i	−0.685769	−	0.791419i
$473$	−2.27987	−	0.669429i	−0.104828	−	0.0307804i
$474$	−14.0426	+	30.7490i	−0.644997	+	1.41235i
$475$	29.7497	+	19.1190i	1.36501	+	0.877239i
$476$	21.6956	−	6.37041i	0.994417	−	0.291987i
$477$	−1.06381	+	7.39895i	−0.0487085	+	0.338775i
$478$	−3.80919	−	8.34097i	−0.174228	−	0.381507i
$479$	−1.78759	−	12.4330i	−0.0816771	−	0.568076i	−0.989031	−	0.147709i	$-0.952810\pi$
$479$	−1.78759	−	12.4330i	−0.0816771	−	0.568076i	0.907354	−	0.420368i	$-0.138099\pi$
$480$	−15.9344	+	10.2404i	−0.727301	+	0.467408i
$481$	−7.24431	+	8.36038i	−0.330312	+	0.381201i
$482$	14.9249			0.679810
$483$	3.91434	+	2.77091i	0.178109	+	0.126081i
$484$	−34.8313			−1.58324
$485$	−12.0016	+	13.8506i	−0.544965	+	0.628924i
$486$	1.91401	−	1.23006i	0.0868215	−	0.0557968i
$487$	−3.14558	−	21.8780i	−0.142540	−	0.991387i	−0.928028	−	0.372510i	$-0.878497\pi$
$487$	−3.14558	−	21.8780i	−0.142540	−	0.991387i	0.785488	−	0.618877i	$-0.212412\pi$
$488$	13.6771	+	29.9486i	0.619132	+	1.35571i
$489$	−1.15779	+	8.05261i	−0.0523571	+	0.364151i
$490$	6.94768	−	2.04002i	0.313864	−	0.0921589i
$491$	−2.91856	−	1.87564i	−0.131713	−	0.0846466i	0.473125	−	0.880995i	$-0.343126\pi$
$491$	−2.91856	−	1.87564i	−0.131713	−	0.0846466i	−0.604838	+	0.796349i	$0.706762\pi$
$492$	−1.59889	+	3.50108i	−0.0720835	+	0.157841i
$493$	22.5120	+	6.61012i	1.01389	+	0.297705i
$494$	−39.3586	−	45.4223i	−1.77083	−	2.04364i
$495$	0.388372	+	0.448206i	0.0174560	+	0.0201453i
$496$	−0.231211	−	0.0678896i	−0.0103817	−	0.00304833i
$497$	−1.23672	+	2.70803i	−0.0554744	+	0.121472i
$498$	−13.3319	−	8.56790i	−0.597417	−	0.383937i
$499$	−0.899294	+	0.264056i	−0.0402579	+	0.0118208i	−0.301800	−	0.953371i	$-0.597587\pi$
$499$	−0.899294	+	0.264056i	−0.0402579	+	0.0118208i	0.261542	+	0.965192i	$0.415769\pi$
$500$	−0.185356	+	1.28918i	−0.00828936	+	0.0576538i
$501$	−0.204520	−	0.447835i	−0.00913726	−	0.0200078i
$502$	−8.11842	−	56.4649i	−0.362343	−	2.52015i
$503$	−25.7268	+	16.5336i	−1.14710	+	0.737197i	−0.969060	−	0.246826i	$-0.920612\pi$
$503$	−25.7268	+	16.5336i	−1.14710	+	0.737197i	−0.178041	+	0.984023i	$0.556976\pi$
$504$	−1.75292	+	2.02297i	−0.0780812	+	0.0901105i
$505$	−2.24840			−0.100052
$506$	−0.198944	−	2.02355i	−0.00884416	−	0.0899576i
$507$	−1.67811			−0.0745273
$508$	−1.36573	+	1.57614i	−0.0605945	+	0.0699297i
$509$	−27.8871	+	17.9220i	−1.23607	+	0.794377i	−0.984826	−	0.173546i	$-0.944478\pi$
$509$	−27.8871	+	17.9220i	−1.23607	+	0.794377i	−0.251249	+	0.967923i	$0.580841\pi$
$510$	−7.33548	−	51.0194i	−0.324821	−	2.25918i
$511$	−4.36022	−	9.54754i	−0.192885	−	0.422358i
$512$	0.422848	−	2.94097i	0.0186874	−	0.129974i
$513$	6.61575	−	1.94256i	0.292093	−	0.0857661i
$514$	11.8582	+	7.62080i	0.523043	+	0.336139i
$515$	24.8141	−	54.3352i	1.09344	−	2.39430i
$516$	−38.8633	−	11.4113i	−1.71086	−	0.502354i
$517$	−0.151433	−	0.174763i	−0.00666002	−	0.00768608i
$518$	4.30210	+	4.96489i	0.189023	+	0.218145i
$519$	−12.6883	−	3.72564i	−0.556957	−	0.163537i
$520$	13.5584	−	29.6888i	0.594577	−	1.30194i
$521$	23.6580	+	15.2041i	1.03648	+	0.666103i	0.944113	−	0.329623i	$-0.106922\pi$
$521$	23.6580	+	15.2041i	1.03648	+	0.666103i	0.0923631	+	0.995725i	$0.470558\pi$
$522$	−7.19535	+	2.11275i	−0.314932	+	0.0924724i
$523$	−2.96800	+	20.6429i	−0.129782	+	0.902651i	0.816047	+	0.577985i	$0.196161\pi$
$523$	−2.96800	+	20.6429i	−0.129782	+	0.902651i	−0.945829	+	0.324666i	$0.894748\pi$
$524$	−12.4840	−	27.3362i	−0.545366	−	1.19419i
$525$	−0.729909	−	5.07663i	−0.0318558	−	0.221562i
$526$	39.8906	−	25.6361i	1.73931	−	1.11779i
$527$	4.27401	−	4.93247i	0.186179	−	0.214862i
$528$	−0.0489756			−0.00213139
$529$	−22.5596	+	4.47918i	−0.980853	+	0.194747i
$530$	−54.1267			−2.35111
$531$	5.56591	−	6.42340i	0.241540	−	0.278752i
$532$	−18.4253	+	11.8412i	−0.798837	+	0.513381i
$533$	0.660651	+	4.59493i	0.0286160	+	0.199028i
$534$	−8.38336	−	18.3570i	−0.362783	−	0.794385i
$535$	−0.934747	+	6.50131i	−0.0404127	+	0.281076i
$536$	−10.8174	+	3.17628i	−0.467241	+	0.137194i
$537$	−3.39777	−	2.18361i	−0.146625	−	0.0942299i
$538$	5.57744	−	12.2129i	0.240460	−	0.526535i
$539$	0.178797	+	0.0524997i	0.00770135	+	0.00226132i
$540$	6.62031	+	7.64025i	0.284893	+	0.328784i
$541$	3.55183	+	4.09903i	0.152705	+	0.176231i	0.826948	−	0.562279i	$-0.190075\pi$
$541$	3.55183	+	4.09903i	0.152705	+	0.176231i	−0.674243	+	0.738510i	$0.735530\pi$
$542$	14.8191	+	4.35128i	0.636535	+	0.186904i
$543$	4.48618	−	9.82336i	0.192520	−	0.421561i
$544$	35.6399	+	22.9043i	1.52805	+	0.982016i
$545$	3.72023	−	1.09236i	0.159357	−	0.0467914i
$546$	−1.24052	+	8.62800i	−0.0530893	+	0.369244i
$547$	3.41177	+	7.47073i	0.145877	+	0.319425i	0.968439	−	0.249249i	$-0.0801837\pi$
$547$	3.41177	+	7.47073i	0.145877	+	0.319425i	−0.822563	+	0.568674i	$0.807456\pi$
$548$	2.13088	+	14.8206i	0.0910266	+	0.633104i
$549$	−10.3473	+	6.64978i	−0.441611	+	0.283806i
$550$	−1.42399	+	1.64337i	−0.0607189	+	0.0700734i
$551$	−22.7263			−0.968174
$552$	−1.25605	−	12.7758i	−0.0534610	−	0.543774i
$553$	14.8575			0.631806
$554$	13.3093	−	15.3597i	0.565457	−	0.652572i
$555$	7.73072	−	4.96823i	0.328151	−	0.210890i
$556$	8.20255	+	57.0500i	0.347865	+	2.41946i
$557$	12.4521	+	27.2663i	0.527613	+	1.15531i	0.966476	+	0.256758i	$0.0826542\pi$
$557$	12.4521	+	27.2663i	0.527613	+	1.15531i	−0.438863	+	0.898554i	$0.644619\pi$
$558$	−0.296876	+	2.06482i	−0.0125678	+	0.0874106i
$559$	−46.8732	+	13.7632i	−1.98253	+	0.582122i
$560$	0.703666	+	0.452219i	0.0297353	+	0.0191097i
$561$	0.551039	−	1.20661i	0.0232649	−	0.0509430i
$562$	30.6022	+	8.98562i	1.29088	+	0.379035i
$563$	30.0550	+	34.6853i	1.26667	+	1.46181i	0.825519	+	0.564374i	$0.190883\pi$
$563$	30.0550	+	34.6853i	1.26667	+	1.46181i	0.441146	+	0.897435i	$0.354572\pi$
$564$	−2.58138	−	2.97907i	−0.108696	−	0.125441i
$565$	23.9144	+	7.02189i	1.00608	+	0.295413i
$566$	24.5926	−	53.8502i	1.03370	−	2.26349i
$567$	−0.841254	−	0.540641i	−0.0353293	−	0.0227048i
$568$	7.64615	−	2.24511i	0.320825	−	0.0942028i
$569$	−2.21470	+	15.4036i	−0.0928452	+	0.645752i	0.889258	+	0.457407i	$0.151222\pi$
$569$	−2.21470	+	15.4036i	−0.0928452	+	0.645752i	−0.982103	+	0.188346i	$0.939687\pi$
$570$	20.7404	+	45.4152i	0.868721	+	1.90223i
$571$	−1.77131	−	12.3198i	−0.0741272	−	0.515566i	−0.992728	−	0.120379i	$-0.961589\pi$
$571$	−1.77131	−	12.3198i	−0.0741272	−	0.515566i	0.918601	−	0.395187i	$-0.129320\pi$
$572$	1.90779	−	1.22606i	0.0797688	−	0.0512643i
$573$	−7.94617	+	9.17036i	−0.331956	+	0.383097i
$574$	2.75680			0.115067
$575$	20.0760	+	14.2115i	0.837228	+	0.592661i
$576$	−13.0152			−0.542301
$577$	−11.8370	+	13.6606i	−0.492781	+	0.568700i	−0.946607	−	0.322391i	$-0.895513\pi$
$577$	−11.8370	+	13.6606i	−0.492781	+	0.568700i	0.453826	+	0.891091i	$0.350059\pi$
$578$	−64.4472	+	41.4177i	−2.68065	+	1.72275i
$579$	2.15696	+	15.0020i	0.0896400	+	0.623460i
$580$	−13.8421	−	30.3101i	−0.574764	−	1.25856i
$581$	−0.991282	+	6.89452i	−0.0411253	+	0.286033i
$582$	−12.5710	+	3.69119i	−0.521086	+	0.153005i
$583$	−1.17182	−	0.753081i	−0.0485317	−	0.0311894i
$584$	−11.6713	+	25.5567i	−0.482963	+	1.05754i
$585$	11.6992	+	3.43520i	0.483703	+	0.142028i
$586$	22.6068	+	26.0896i	0.933877	+	1.07775i
$587$	−16.5262	−	19.0723i	−0.682111	−	0.787198i	0.304109	−	0.952637i	$-0.401641\pi$
$587$	−16.5262	−	19.0723i	−0.682111	−	0.787198i	−0.986220	+	0.165440i	$0.947096\pi$
$588$	3.04784	+	0.894925i	0.125691	+	0.0369061i
$589$	−2.62619	+	5.75055i	−0.108210	+	0.236947i
$590$	51.7740	+	33.2732i	2.13150	+	1.36983i
$591$	−6.50238	+	1.90927i	−0.267472	+	0.0785369i
$592$	−0.108000	+	0.751156i	−0.00443877	+	0.0308723i
$593$	−2.69884	−	5.90963i	−0.110828	−	0.242679i	0.846089	−	0.533042i	$-0.178951\pi$
$593$	−2.69884	−	5.90963i	−0.110828	−	0.242679i	−0.956917	+	0.290363i	$0.906224\pi$
$594$	0.0603376	+	0.419657i	0.00247568	+	0.0172187i
$595$	−19.0584	+	12.2481i	−0.781320	+	0.502124i
$596$	−41.8648	+	48.3146i	−1.71485	+	1.97904i
$597$	16.7095			0.683873
$598$	−25.9334	−	32.7876i	−1.06050	−	1.34079i
$599$	−6.10490			−0.249439			−0.124720	−	0.992192i	$-0.539803\pi$
$599$	−6.10490			−0.249439			−0.124720	+	0.992192i	$0.539803\pi$
$600$	−8.99042	+	10.3755i	−0.367032	+	0.423578i
$601$	8.46724	−	5.44156i	0.345386	−	0.221966i	−0.356434	−	0.934321i	$-0.616008\pi$
$601$	8.46724	−	5.44156i	0.345386	−	0.221966i	0.701820	+	0.712354i	$0.252371\pi$
$602$	4.12873	+	28.7160i	0.168274	+	1.17037i
$603$	−1.74965	−	3.83120i	−0.0712512	−	0.156018i
$604$	−7.53977	+	52.4402i	−0.306789	+	2.13376i
$605$	33.4843	−	9.83187i	1.36133	−	0.399722i
$606$	−1.35219	−	0.869001i	−0.0549291	−	0.0353008i
$607$	5.34960	−	11.7140i	0.217133	−	0.475456i	−0.769451	−	0.638705i	$-0.779470\pi$
$607$	5.34960	−	11.7140i	0.217133	−	0.475456i	0.986585	+	0.163250i	$0.0521976\pi$
$608$	−39.3738	−	11.5612i	−1.59682	−	0.468869i
$609$	2.15844	+	2.49098i	0.0874646	+	0.100940i
$610$	−58.3238	−	67.3092i	−2.36146	−	2.72527i
$611$	−4.56173	−	1.33944i	−0.184548	−	0.0541881i
$612$	9.39318	−	20.5682i	0.379697	−	0.831420i
$613$	35.9984	+	23.1347i	1.45396	+	0.934403i	0.999037	+	0.0438726i	$0.0139696\pi$
$613$	35.9984	+	23.1347i	1.45396	+	0.934403i	0.454923	+	0.890531i	$0.349667\pi$
$614$	51.9950	−	15.2671i	2.09835	−	0.616130i
$615$	0.548803	−	3.81701i	0.0221299	−	0.153917i
$616$	−0.207212	−	0.453730i	−0.00834880	−	0.0182813i
$617$	5.94004	+	41.3139i	0.239137	+	1.66323i	0.656373	+	0.754436i	$0.272090\pi$
$617$	5.94004	+	41.3139i	0.239137	+	1.66323i	−0.417236	+	0.908798i	$0.637001\pi$
$618$	35.9237	−	23.0868i	1.44506	−	0.928687i
$619$	−25.7542	+	29.7219i	−1.03515	+	1.19463i	−0.0545684	+	0.998510i	$0.517378\pi$
$619$	−25.7542	+	29.7219i	−1.03515	+	1.19463i	−0.980581	+	0.196116i	$0.937167\pi$
$620$	−9.26906			−0.372254
$621$	4.65746	−	1.14371i	0.186897	−	0.0458953i
$622$	46.1262			1.84949
$623$	−5.80853	+	6.70340i	−0.232714	+	0.268566i
$624$	−0.847075	+	0.544382i	−0.0339101	+	0.0217927i
$625$	3.46383	+	24.0915i	0.138553	+	0.963660i
$626$	−12.2815	−	26.8927i	−0.490867	−	1.07485i
$627$	−0.182855	+	1.27179i	−0.00730253	+	0.0507902i
$628$	69.1118	−	20.2930i	2.75786	−	0.809781i
$629$	−17.2910	−	11.1123i	−0.689438	−	0.443075i
$630$	3.00802	−	6.58664i	0.119842	−	0.262418i
$631$	31.8288	+	9.34578i	1.26708	+	0.372050i	0.845127	−	0.534566i	$-0.179525\pi$
$631$	31.8288	+	9.34578i	1.26708	+	0.372050i	0.421958	+	0.906615i	$0.361343\pi$
$632$	−26.0440	−	30.0564i	−1.03598	−	1.19558i
$633$	2.25048	+	2.59719i	0.0894486	+	0.103229i
$634$	−8.67149	−	2.54618i	−0.344389	−	0.101122i
$635$	0.868017	−	1.90069i	0.0344462	−	0.0754266i
$636$	−19.9751	−	12.8372i	−0.792066	−	0.509030i
$637$	3.67601	−	1.07937i	0.145649	−	0.0427664i
$638$	0.198875	−	1.38321i	0.00787353	−	0.0547616i
$639$	1.23672	+	2.70803i	0.0489238	+	0.107128i
$640$	−8.02097	−	55.7871i	−0.317057	−	2.20518i
$641$	−29.3508	+	18.8626i	−1.15929	+	0.745028i	−0.971467	−	0.237175i	$-0.923778\pi$
$641$	−29.3508	+	18.8626i	−1.15929	+	0.745028i	−0.187820	+	0.982203i	$0.560142\pi$
$642$	−3.07491	+	3.54863i	−0.121357	+	0.140053i
$643$	18.4007			0.725653			0.362827	−	0.931857i	$-0.381812\pi$
$643$	18.4007			0.725653			0.362827	+	0.931857i	$0.381812\pi$
$644$	−13.1716	+	7.65391i	−0.519035	+	0.301606i
$645$	40.5815			1.59789
$646$	73.1283	−	84.3945i	2.87719	−	3.32046i
$647$	−30.9124	+	19.8662i	−1.21529	+	0.781020i	−0.981536	−	0.191275i	$-0.938738\pi$
$647$	−30.9124	+	19.8662i	−1.21529	+	0.781020i	−0.233755	+	0.972296i	$0.575101\pi$
$648$	0.380945	+	2.64953i	0.0149649	+	0.104084i
$649$	0.657944	+	1.44070i	0.0258266	+	0.0565523i
$650$	−6.36242	+	44.2516i	−0.249555	+	1.73569i
$651$	0.879727	−	0.258311i	0.0344792	−	0.0101240i
$652$	−21.7398	−	13.9713i	−0.851398	−	0.547160i
$653$	16.9534	−	37.1228i	0.663438	−	1.45273i	−0.215846	−	0.976427i	$-0.569251\pi$
$653$	16.9534	−	37.1228i	0.663438	−	1.45273i	0.879284	−	0.476298i	$-0.158022\pi$
$654$	2.65955	+	0.780914i	0.103997	+	0.0305361i
$655$	19.7175	+	22.7552i	0.770425	+	0.889117i
$656$	0.208543	+	0.240671i	0.00814223	+	0.00939664i
$657$	−10.0709	−	2.95708i	−0.392903	−	0.115367i
$658$	−1.17288	+	2.56825i	−0.0457236	+	0.100121i
$659$	−39.8743	−	25.6257i	−1.55328	−	0.998234i	−0.984426	−	0.175798i	$-0.943750\pi$
$659$	−39.8743	−	25.6257i	−1.55328	−	0.998234i	−0.568857	−	0.822437i	$-0.692614\pi$
$660$	−1.80755	+	0.530745i	−0.0703589	+	0.0206592i
$661$	6.82240	−	47.4508i	0.265360	−	1.84562i	−0.225323	−	0.974284i	$-0.572344\pi$
$661$	6.82240	−	47.4508i	0.265360	−	1.84562i	0.490683	−	0.871338i	$-0.336747\pi$
$662$	31.5536	+	69.0928i	1.22637	+	2.68537i
$663$	−3.88120	−	26.9943i	−0.150733	−	1.04837i
$664$	15.6851	−	10.0802i	0.608699	−	0.391187i
$665$	14.3703	−	16.5842i	0.557257	−	0.643108i
$666$	6.56949			0.254562
$667$	−15.7914	−	0.707925i	−0.611444	−	0.0274110i
$668$	1.56388			0.0605082
$669$	15.1504	−	17.4845i	0.585749	−	0.675990i
$670$	25.6563	−	16.4883i	0.991189	−	0.636998i
$671$	−0.326188	−	2.26869i	−0.0125924	−	0.0875818i
$672$	2.47235	+	5.41370i	0.0953731	+	0.208838i
$673$	3.67661	−	25.5714i	0.141723	−	0.985705i	−0.787534	−	0.616271i	$-0.788643\pi$
$673$	3.67661	−	25.5714i	0.141723	−	0.985705i	0.929257	−	0.369434i	$-0.120448\pi$
$674$	37.6469	−	11.0541i	1.45010	−	0.425789i
$675$	−4.31465	−	2.77286i	−0.166071	−	0.106727i
$676$	2.21437	−	4.84880i	0.0851683	−	0.186492i
$677$	9.79068	+	2.87480i	0.376286	+	0.110488i	0.464406	−	0.885622i	$-0.346268\pi$
$677$	9.79068	+	2.87480i	0.376286	+	0.110488i	−0.0881200	+	0.996110i	$0.528086\pi$
$678$	11.6682	+	13.4658i	0.448115	+	0.517153i
$679$	3.77103	+	4.35200i	0.144719	+	0.167014i
$680$	58.1855	+	17.0848i	2.23131	+	0.655172i
$681$	5.39507	−	11.8136i	0.206740	−	0.452696i
$682$	−0.327018	−	0.210161i	−0.0125221	−	0.00804750i
$683$	39.6462	−	11.6412i	1.51702	−	0.445437i	0.585970	−	0.810333i	$-0.300714\pi$
$683$	39.6462	−	11.6412i	1.51702	−	0.445437i	0.931048	+	0.364896i	$0.118896\pi$
$684$	−3.11700	+	21.6792i	−0.119182	+	0.828926i
$685$	−6.23190	−	13.6460i	−0.238109	−	0.521385i
$686$	−0.323794	−	2.25204i	−0.0123625	−	0.0859831i
$687$	−17.8739	+	11.4869i	−0.681932	+	0.438251i
$688$	−2.19461	+	2.53271i	−0.0836686	+	0.0965587i
$689$	−28.6384			−1.09104
$690$	12.9968	+	32.2028i	0.494779	+	1.22594i
$691$	−20.8447			−0.792969			−0.396485	−	0.918041i	$-0.629770\pi$
$691$	−20.8447			−0.792969			−0.396485	+	0.918041i	$0.629770\pi$
$692$	27.5082	−	31.7461i	1.04570	−	1.20681i
$693$	0.156764	−	0.100746i	0.00595497	−	0.00382703i
$694$	−5.49771	−	38.2374i	−0.208690	−	1.45147i
$695$	−23.9889	−	52.5284i	−0.909952	−	1.99252i
$696$	1.25561	−	8.73296i	0.0475938	−	0.331022i
$697$	−8.27578	+	2.42999i	−0.313468	+	0.0920424i
$698$	68.3414	+	43.9204i	2.58676	+	1.66241i
$699$	3.67944	−	8.05686i	0.139169	−	0.304738i
$700$	15.6318	+	4.58992i	0.590828	+	0.173483i
$701$	15.5429	+	17.9374i	0.587045	+	0.677486i	0.969104	−	0.246652i	$-0.0793303\pi$
$701$	15.5429	+	17.9374i	0.587045	+	0.677486i	−0.382059	+	0.924138i	$0.624785\pi$
$702$	5.70824	+	6.58766i	0.215444	+	0.248635i
$703$	19.1026	+	5.60903i	0.720468	+	0.211548i
$704$	1.00752	−	2.20616i	0.0379724	−	0.0831478i
$705$	3.32246	+	2.13521i	0.125131	+	0.0804167i
$706$	26.8145	−	7.87344i	1.00918	−	0.296321i
$707$	−0.100541	+	0.699278i	−0.00378124	+	0.0262991i
$708$	11.2155	+	24.5585i	0.421505	+	0.922966i
$709$	−4.35671	−	30.3016i	−0.163620	−	1.13800i	−0.891739	−	0.452550i	$-0.850514\pi$
$709$	−4.35671	−	30.3016i	−0.163620	−	1.13800i	0.728119	−	0.685451i	$-0.240395\pi$
$710$	−18.1348	+	11.6545i	−0.680588	+	0.437387i
$711$	9.72961	−	11.2286i	0.364889	−	0.421104i
$712$	23.7427			0.889795
$713$	−2.00393	+	3.91396i	−0.0750479	+	0.146579i
$714$	−16.1957			−0.606108
$715$	−1.48793	+	1.71717i	−0.0556455	+	0.0642184i
$716$	10.7930	−	6.93626i	0.403355	−	0.259220i
$717$	0.573565	+	3.98923i	0.0214202	+	0.148981i
$718$	−18.8687	−	41.3167i	−0.704175	−	1.54193i
$719$	1.42278	−	9.89565i	0.0530607	−	0.369046i	−0.945940	−	0.324343i	$-0.894857\pi$
$719$	1.42278	−	9.89565i	0.0530607	−	0.369046i	0.999000	−	0.0447027i	$-0.0142341\pi$
$720$	0.802567	−	0.235655i	0.0299099	−	0.00878234i
$721$	−15.7893	−	10.1472i	−0.588025	−	0.377900i
$722$	−26.9762	+	59.0696i	−1.00395	+	2.19834i
$723$	−6.29411	−	1.84812i	−0.234080	−	0.0687322i
$724$	22.4643	+	25.9252i	0.834880	+	0.963503i
$725$	11.0703	+	12.7758i	0.411141	+	0.474482i
$726$	23.9376	+	7.02870i	0.888406	+	0.260859i
$727$	−2.48540	+	5.44226i	−0.0921782	+	0.201842i	−0.950105	−	0.311929i	$-0.899025\pi$
$727$	−2.48540	+	5.44226i	−0.0921782	+	0.201842i	0.857927	+	0.513771i	$0.171752\pi$
$728$	−8.62729	−	5.54442i	−0.319749	−	0.205490i
$729$	−0.959493	+	0.281733i	−0.0355368	+	0.0104345i
$730$	10.8162	−	75.2282i	0.400325	−	2.78432i
$731$	−37.7060	−	82.5647i	−1.39461	−	3.05376i
$732$	−5.56030	−	38.6728i	−0.205515	−	1.42939i
$733$	−35.2982	+	22.6848i	−1.30377	+	0.837882i	−0.993617	−	0.112804i	$-0.964017\pi$
$733$	−35.2982	+	22.6848i	−1.30377	+	0.837882i	−0.310153	+	0.950687i	$0.600380\pi$
$734$	23.1294	−	26.6927i	0.853720	−	0.985245i
$735$	−3.18258			−0.117391
$736$	−26.9987	−	9.25978i	−0.995187	−	0.341320i
$737$	0.784853			0.0289104
$738$	1.80532	−	2.08345i	0.0664547	−	0.0766928i
$739$	−17.3198	+	11.1308i	−0.637120	+	0.409452i	−0.818940	−	0.573880i	$-0.805438\pi$
$739$	−17.3198	+	11.1308i	−0.637120	+	0.409452i	0.181819	+	0.983332i	$0.441801\pi$
$740$	4.15425	+	28.8935i	0.152713	+	1.06214i
$741$	10.9737	+	24.0291i	0.403130	+	0.882732i
$742$	−2.42037	+	16.8341i	−0.0888546	+	0.617997i
$743$	−45.7139	+	13.4228i	−1.67708	+	0.492435i	−0.975471	−	0.220128i	$-0.929353\pi$
$743$	−45.7139	+	13.4228i	−1.67708	+	0.492435i	−0.701609	+	0.712563i	$0.747534\pi$
$744$	−2.06465	−	1.32687i	−0.0756936	−	0.0486453i
$745$	26.6080	−	58.2634i	0.974842	−	2.13461i
$746$	5.80855	+	1.70555i	0.212666	+	0.0624445i
$747$	4.56138	+	5.26411i	0.166892	+	0.192604i
$748$	2.75930	+	3.18440i	0.100890	+	0.116433i
$749$	1.98019	+	0.581435i	0.0723545	+	0.0212452i
$750$	0.387531	−	0.848575i	0.0141506	−	0.0309856i
$751$	43.1890	+	27.7559i	1.57599	+	1.01283i	0.977304	+	0.211840i	$0.0679457\pi$
$751$	43.1890	+	27.7559i	1.57599	+	1.01283i	0.598684	+	0.800986i	$0.295691\pi$
$752$	−0.312935	+	0.0918860i	−0.0114116	+	0.00335074i
$753$	−3.56823	+	24.8176i	−0.130034	+	0.904404i
$754$	−11.9351	−	26.1343i	−0.434652	−	0.951755i
$755$	−7.55419	−	52.5406i	−0.274925	−	1.91215i
$756$	2.67225	−	1.71735i	0.0971887	−	0.0624594i
$757$	21.2293	−	24.5000i	0.771594	−	0.890467i	−0.224879	−	0.974387i	$-0.572199\pi$
$757$	21.2293	−	24.5000i	0.771594	−	0.890467i	0.996472	+	0.0839202i	$0.0267441\pi$
$758$	20.1619			0.732315
$759$	−0.166673	+	0.878003i	−0.00604984	+	0.0318695i
$760$	−58.7394			−2.13070
$761$	−18.6605	+	21.5354i	−0.676444	+	0.780658i	−0.985370	−	0.170428i	$-0.945485\pi$
$761$	−18.6605	+	21.5354i	−0.676444	+	0.780658i	0.308926	+	0.951086i	$0.400030\pi$
$762$	1.25664	−	0.807594i	0.0455233	−	0.0292561i
$763$	−0.173380	−	1.20588i	−0.00627676	−	0.0436558i
$764$	−16.0118	−	35.0610i	−0.579287	−	1.26846i
$765$	−3.22411	+	22.4242i	−0.116568	+	0.810749i
$766$	−56.1636	+	16.4911i	−2.02927	+	0.595848i
$767$	27.3936	+	17.6048i	0.989125	+	0.635672i
$768$	5.92433	−	12.9725i	0.213776	−	0.468103i
$769$	−16.8103	−	4.93595i	−0.606195	−	0.177995i	−0.0357909	−	0.999359i	$-0.511395\pi$
$769$	−16.8103	−	4.93595i	−0.606195	−	0.177995i	−0.570404	+	0.821365i	$0.693213\pi$
$770$	0.883622	+	1.01975i	0.0318435	+	0.0367494i
$771$	−4.05716	−	4.68222i	−0.146115	−	0.168626i
$772$	−46.1937	−	13.5637i	−1.66255	−	0.488168i
$773$	−0.691630	+	1.51446i	−0.0248762	+	0.0544713i	−0.921662	−	0.387993i	$-0.873168\pi$
$773$	−0.691630	+	1.51446i	−0.0248762	+	0.0544713i	0.896786	+	0.442464i	$0.145896\pi$
$774$	24.4058	+	15.6847i	0.877249	+	0.563774i
$775$	4.51197	−	1.32483i	0.162075	−	0.0475895i
$776$	2.19368	−	15.2574i	0.0787486	−	0.547709i
$777$	−1.19949	−	2.62651i	−0.0430313	−	0.0942255i
$778$	3.19426	+	22.2166i	0.114520	+	0.796502i
$779$	7.02831	−	4.51682i	0.251815	−	0.161832i
$780$	−25.3637	+	29.2713i	−0.908168	+	1.04808i
$781$	−0.554764			−0.0198510
$782$	53.4420	−	56.3635i	1.91108	−	2.01556i
$783$	3.29604			0.117791
$784$	0.172111	−	0.198627i	0.00614682	−	0.00709381i
$785$	−60.7110	+	39.0166i	−2.16687	+	1.39256i
$786$	3.06331	+	21.3058i	0.109265	+	0.759952i
$787$	−3.52418	−	7.71687i	−0.125623	−	0.275077i	0.836362	−	0.548177i	$-0.184678\pi$
$787$	−3.52418	−	7.71687i	−0.125623	−	0.275077i	−0.961985	+	0.273101i	$0.911951\pi$
$788$	3.06359	−	21.3077i	0.109136	−	0.759056i
$789$	−19.9971	+	5.87168i	−0.711915	+	0.209037i
$790$	90.5048	+	58.1639i	3.22002	+	2.06938i
$791$	3.25327	−	7.12366i	0.115673	−	0.253288i
$792$	−0.478601	−	0.140530i	−0.0170064	−	0.00499352i
$793$	−30.8591	−	35.6133i	−1.09584	−	1.26466i
$794$	4.50440	+	5.19836i	0.159855	+	0.184483i
$795$	22.8263	+	6.70240i	0.809564	+	0.237710i
$796$	−22.0493	+	48.2812i	−0.781516	+	1.71128i
$797$	−1.37259	−	0.882113i	−0.0486198	−	0.0312460i	0.516105	−	0.856525i	$-0.327381\pi$
$797$	−1.37259	−	0.882113i	−0.0486198	−	0.0312460i	−0.564725	+	0.825279i	$0.691018\pi$
$798$	15.0521	−	4.41970i	0.532839	−	0.156456i
$799$	1.25714	−	8.74359i	0.0444744	−	0.309326i
$800$	12.6803	+	27.7660i	0.448316	+	0.981675i
$801$	1.26231	+	8.77959i	0.0446017	+	0.310212i
$802$	37.5418	−	24.1267i	1.32565	−	0.851942i
$803$	1.28084	−	1.47817i	0.0451998	−	0.0521634i
$804$	13.3788			0.471835
$805$	10.5018	−	11.0759i	0.370140	−	0.390374i
$806$	−7.99207			−0.281509
$807$	−3.86441	+	4.45977i	−0.136034	+	0.156991i
$808$	1.59086	−	1.02239i	0.0559664	−	0.0359674i
$809$	−0.0961201	−	0.668530i	−0.00337940	−	0.0235043i	0.988062	−	0.154057i	$-0.0492339\pi$
$809$	−0.0961201	−	0.668530i	−0.00337940	−	0.0235043i	−0.991441	+	0.130553i	$0.958325\pi$
$810$	−3.00802	−	6.58664i	−0.105691	−	0.231431i
$811$	5.19475	−	36.1303i	0.182412	−	1.26871i	−0.668624	−	0.743600i	$-0.733116\pi$
$811$	5.19475	−	36.1303i	0.182412	−	1.26871i	0.851037	−	0.525106i	$-0.175974\pi$
$812$	−10.0458	+	2.94971i	−0.352538	+	0.103514i
$813$	−5.71069	−	3.67004i	−0.200283	−	0.128714i
$814$	−0.508550	+	1.11357i	−0.0178247	+	0.0390305i
$815$	24.8428	+	7.29451i	0.870206	+	0.255516i
$816$	−1.22515	−	1.41390i	−0.0428888	−	0.0494964i
$817$	57.5751	+	66.4452i	2.01430	+	2.32462i
$818$	10.5890	+	3.10920i	0.370234	+	0.108711i
$819$	1.59154	−	3.48498i	0.0556129	−	0.121775i
$820$	10.3049	+	6.62254i	0.359862	+	0.231269i
$821$	36.8732	−	10.8269i	1.28688	−	0.377863i	0.434449	−	0.900697i	$-0.356943\pi$
$821$	36.8732	−	10.8269i	1.28688	−	0.377863i	0.852435	+	0.522833i	$0.175125\pi$
$822$	1.52625	−	10.6153i	0.0532342	−	0.370252i
$823$	−5.51024	−	12.0657i	−0.192075	−	0.420585i	0.788953	−	0.614454i	$-0.210624\pi$
$823$	−5.51024	−	12.0657i	−0.192075	−	0.420585i	−0.981027	+	0.193869i	$0.937896\pi$
$824$	7.14988	+	49.7285i	0.249078	+	1.73238i
$825$	0.804017	−	0.516710i	0.0279923	−	0.0179895i
$826$	12.6635	−	14.6145i	0.440620	−	0.508503i
$827$	−18.3684			−0.638733			−0.319366	−	0.947631i	$-0.603470\pi$
$827$	−18.3684			−0.638733			−0.319366	+	0.947631i	$0.603470\pi$
$828$	−2.84116	+	14.9667i	−0.0987370	+	0.520129i
$829$	−12.7800			−0.443869			−0.221934	−	0.975062i	$-0.571237\pi$
$829$	−12.7800			−0.443869			−0.221934	+	0.975062i	$0.571237\pi$
$830$	−33.0289	+	38.1174i	−1.14645	+	1.32307i
$831$	−7.51474	+	4.82943i	−0.260683	+	0.167531i
$832$	−7.09639	−	49.3564i	−0.246023	−	1.71113i
$833$	2.95708	+	6.47510i	0.102457	+	0.224349i
$834$	5.87513	−	40.8624i	0.203439	−	1.41495i
$835$	−1.50340	+	0.441438i	−0.0520273	+	0.0152766i
$836$	−3.43347	−	2.20656i	−0.118749	−	0.0763154i
$837$	0.380880	−	0.834011i	0.0131651	−	0.0288276i
$838$	−43.0239	−	12.6329i	−1.48623	−	0.436398i
$839$	−17.3907	−	20.0699i	−0.600394	−	0.692891i	0.371467	−	0.928446i	$-0.378855\pi$
$839$	−17.3907	−	20.0699i	−0.600394	−	0.692891i	−0.971861	+	0.235555i	$0.924309\pi$
$840$	5.57881	+	6.43828i	0.192487	+	0.222142i
$841$	17.4015	+	5.10954i	0.600052	+	0.176191i
$842$	11.0511	−	24.1986i	0.380847	−	0.833939i
$843$	−11.7929	−	7.57882i	−0.406168	−	0.261028i
$844$	−10.4741	+	3.07548i	−0.360534	+	0.105862i
$845$	−0.760062	+	5.28635i	−0.0261469	+	0.181856i
$846$	1.17288	+	2.56825i	0.0403244	+	0.0882981i
$847$	−1.56052	−	10.8537i	−0.0536201	−	0.372936i
$848$	−1.65272	+	1.06214i	−0.0567548	+	0.0364741i
$849$	−17.0393	+	19.6644i	−0.584788	+	0.674881i
$850$	−83.0649			−2.84910
$851$	13.0987	+	4.49247i	0.449018	+	0.154000i
$852$	−9.45667			−0.323980
$853$	8.95899	−	10.3392i	0.306750	−	0.354008i	−0.581354	−	0.813651i	$-0.697477\pi$
$853$	8.95899	−	10.3392i	0.306750	−	0.354008i	0.888104	+	0.459642i	$0.152022\pi$
$854$	−23.5420	+	15.1295i	−0.805592	+	0.517722i
$855$	−3.12297	−	21.7207i	−0.106803	−	0.742833i
$856$	−2.29488	−	5.02508i	−0.0784372	−	0.171754i
$857$	3.32939	−	23.1564i	0.113730	−	0.791009i	−0.850506	−	0.525965i	$-0.823704\pi$
$857$	3.32939	−	23.1564i	0.113730	−	0.791009i	0.964236	−	0.265044i	$-0.0853865\pi$
$858$	−1.55853	+	0.457625i	−0.0532073	+	0.0156231i
$859$	−5.78556	−	3.71815i	−0.197401	−	0.126862i	0.438207	−	0.898874i	$-0.355614\pi$
$859$	−5.78556	−	3.71815i	−0.197401	−	0.126862i	−0.635607	+	0.772013i	$0.719250\pi$
$860$	−53.5500	+	117.258i	−1.82604	+	3.99847i
$861$	−1.16260	−	0.341369i	−0.0396211	−	0.0116338i
$862$	18.9056	+	21.8182i	0.643928	+	0.743132i
$863$	2.88625	+	3.33091i	0.0982490	+	0.113385i	0.802745	−	0.596323i	$-0.203372\pi$
$863$	2.88625	+	3.33091i	0.0982490	+	0.113385i	−0.704496	+	0.709708i	$0.748827\pi$
$864$	5.71045	+	1.67674i	0.194273	+	0.0570438i
$865$	−17.4834	+	38.2832i	−0.594452	+	1.30167i
$866$	−56.2221	−	36.1317i	−1.91050	−	1.22781i
$867$	32.3073	−	9.48627i	1.09721	−	0.322171i
$868$	−0.414482	+	2.88279i	−0.0140684	+	0.0978482i
$869$	1.15013	+	2.51844i	0.0390156	+	0.0854323i
$870$	3.39657	+	23.6236i	0.115154	+	0.800916i
$871$	13.5747	−	8.72394i	0.459962	−	0.295599i
$872$	−2.13555	+	2.46455i	−0.0723188	+	0.0834603i
$873$	5.75852			0.194896
$874$	−34.2873	+	66.9678i	−1.15978	+	2.26522i
$875$	−0.410021			−0.0138612
$876$	21.8336	−	25.1973i	0.737687	−	0.851337i
$877$	42.3123	−	27.1925i	1.42878	−	0.918224i	0.428895	−	0.903354i	$-0.358903\pi$
$877$	42.3123	−	27.1925i	1.42878	−	0.918224i	0.999889	−	0.0148699i	$-0.00473342\pi$
$878$	−1.62241	−	11.2841i	−0.0547536	−	0.380820i
$879$	−6.30309	−	13.8018i	−0.212598	−	0.465525i
$880$	−0.0221824	+	0.154282i	−0.000747770	+	0.00520085i
$881$	−18.3985	+	5.40229i	−0.619862	+	0.182008i	−0.576561	−	0.817054i	$-0.695606\pi$
$881$	−18.3985	+	5.40229i	−0.619862	+	0.182008i	−0.0433011	+	0.999062i	$0.513787\pi$
$882$	−1.91401	−	1.23006i	−0.0644482	−	0.0414184i
$883$	0.813584	−	1.78150i	0.0273793	−	0.0599523i	−0.895448	−	0.445166i	$-0.853145\pi$
$883$	0.813584	−	1.78150i	0.0273793	−	0.0599523i	0.922828	+	0.385213i	$0.125872\pi$
$884$	83.1203	+	24.4063i	2.79564	+	0.820873i
$885$	−17.7140	−	20.4430i	−0.595448	−	0.687184i
$886$	61.5954	+	71.0849i	2.06934	+	2.38814i
$887$	−34.2291	−	10.0506i	−1.14930	−	0.337465i	−0.349034	−	0.937110i	$-0.613490\pi$
$887$	−34.2291	−	10.0506i	−1.14930	−	0.337465i	−0.800266	+	0.599645i	$0.795309\pi$
$888$	−3.21076	+	7.03059i	−0.107746	+	0.235931i
$889$	−0.552323	−	0.354956i	−0.0185243	−	0.0119049i
$890$	−61.6251	+	18.0948i	−2.06568	+	0.606537i
$891$	0.0265198	−	0.184449i	0.000888446	−	0.00617928i
$892$	30.5286	+	66.8484i	1.02217	+	2.23825i
$893$	1.21770	+	8.46929i	0.0407488	+	0.283414i
$894$	38.5208	−	24.7558i	1.28833	−	0.827959i
$895$	−8.41774	+	9.71459i	−0.281374	+	0.324723i
$896$	−17.7091			−0.591620
$897$	6.87659	+	17.0385i	0.229603	+	0.568897i
$898$	−57.3032			−1.91223
$899$	−1.97901	+	2.28389i	−0.0660035	+	0.0761721i
$900$	13.7055	−	8.80800i	0.456850	−	0.293600i
$901$	−7.57259	−	52.6685i	−0.252279	−	1.75464i
$902$	0.213406	+	0.467294i	0.00710565	+	0.0155592i
$903$	1.81467	−	12.6213i	0.0603885	−	0.420011i
$904$	−20.1137	+	5.90591i	−0.668971	+	0.196428i
$905$	−28.9135	−	18.5816i	−0.961118	−	0.617673i
$906$	15.7637	−	34.5177i	0.523714	−	1.14677i
$907$	10.5045	+	3.08440i	0.348796	+	0.102416i	0.451438	−	0.892303i	$-0.350911\pi$
$907$	10.5045	+	3.08440i	0.348796	+	0.102416i	−0.102642	+	0.994718i	$0.532730\pi$
$908$	27.0155	+	31.1776i	0.896542	+	1.03466i
$909$	0.462639	+	0.533914i	0.0153448	+	0.0177088i
$910$	26.6180	+	7.81574i	0.882377	+	0.259089i
$911$	5.47428	−	11.9870i	0.181371	−	0.397147i	−0.797007	−	0.603970i	$-0.793585\pi$
$911$	5.47428	−	11.9870i	0.181371	−	0.397147i	0.978379	+	0.206822i	$0.0663121\pi$
$912$	1.52449	+	0.979729i	0.0504809	+	0.0324421i
$913$	−1.24540	+	0.365682i	−0.0412167	+	0.0121023i
$914$	1.93325	−	13.4461i	0.0639463	−	0.444756i
$915$	16.2615	+	35.6077i	0.537589	+	1.17715i
$916$	−9.60489	−	66.8035i	−0.317355	−	2.20725i
$917$	7.95883	−	5.11483i	0.262824	−	0.168906i
$918$	−10.6059	+	12.2399i	−0.350047	+	0.403976i
$919$	4.31026			0.142182			0.0710912	−	0.997470i	$-0.477352\pi$
$919$	4.31026			0.142182			0.0710912	+	0.997470i	$0.477352\pi$
$920$	−40.8150	−	1.82973i	−1.34563	−	0.0603245i
$921$	−23.8178			−0.784823
$922$	−0.522011	+	0.602432i	−0.0171915	+	0.0198400i
$923$	−9.59512	+	6.16641i	−0.315827	+	0.202970i
$924$	0.0842402	+	0.585904i	0.00277130	+	0.0192748i
$925$	−6.15197	−	13.4709i	−0.202275	−	0.442921i
$926$	4.63276	−	32.2216i	0.152242	−	1.05887i
$927$	−18.0085	+	5.28778i	−0.591477	+	0.173673i
$928$	−16.5024	−	10.6055i	−0.541718	−	0.348141i
$929$	24.7913	−	54.2854i	0.813376	−	1.78104i	0.221215	−	0.975225i	$-0.428998\pi$
$929$	24.7913	−	54.2854i	0.813376	−	1.78104i	0.592161	−	0.805820i	$-0.298275\pi$
$930$	6.37010	+	1.87043i	0.208884	+	0.0613338i
$931$	−4.51530	−	5.21093i	−0.147983	−	0.170781i
$932$	18.4246	+	21.2632i	0.603519	+	0.696498i
$933$	−19.4523	−	5.71171i	−0.636840	−	0.186993i
$934$	−19.2832	+	42.2242i	−0.630964	+	1.38162i
$935$	−3.55146	−	2.28238i	−0.116145	−	0.0746419i
$936$	−9.83987	+	2.88925i	−0.321626	+	0.0944380i
$937$	−3.35068	+	23.3045i	−0.109462	+	0.761325i	0.858966	+	0.512032i	$0.171107\pi$
$937$	−3.35068	+	23.3045i	−0.109462	+	0.761325i	−0.968428	+	0.249292i	$0.919802\pi$
$938$	−3.98079	−	8.71672i	−0.129977	−	0.284611i
$939$	1.84927	+	12.8620i	0.0603487	+	0.419734i
$940$	−10.5538	+	6.78251i	−0.344227	+	0.221221i
$941$	−22.5609	+	26.0366i	−0.735463	+	0.848770i	−0.993075	−	0.117478i	$-0.962519\pi$
$941$	−22.5609	+	26.0366i	−0.735463	+	0.848770i	0.257612	+	0.966248i	$0.417064\pi$
$942$	−51.5916			−1.68094
$943$	5.02432	−	2.91958i	0.163614	−	0.0950745i
$944$	2.23381			0.0727044
$945$	−2.08415	+	2.40524i	−0.0677974	+	0.0782423i
$946$	−4.54792	+	2.92277i	−0.147866	+	0.0950275i
$947$	2.95798	+	20.5732i	0.0961216	+	0.668540i	0.979731	+	0.200316i	$0.0641969\pi$
$947$	2.95798	+	20.5732i	0.0961216	+	0.668540i	−0.883610	+	0.468224i	$0.844894\pi$
$948$	19.6055	+	42.9301i	0.636758	+	1.39431i
$949$	5.72283	−	39.8032i	0.185771	−	1.29207i
$950$	77.1998	−	22.6679i	2.50469	−	0.735444i
$951$	3.34165	+	2.14755i	0.108360	+	0.0696389i
$952$	7.91544	−	17.3324i	0.256541	−	0.561747i
$953$	−17.2440	−	5.06329i	−0.558587	−	0.164016i	−0.00976077	−	0.999952i	$-0.503107\pi$
$953$	−17.2440	−	5.06329i	−0.558587	−	0.164016i	−0.548826	+	0.835936i	$0.684925\pi$
$954$	11.1373	+	12.8532i	0.360584	+	0.416136i
$955$	25.2893	+	29.1854i	0.818344	+	0.944419i
$956$	−12.2835	−	3.60678i	−0.397278	−	0.116651i
$957$	−0.255149	+	0.558698i	−0.00824779	+	0.0180601i
$958$	−24.0416	−	15.4506i	−0.776748	−	0.499186i
$959$	−4.52273	+	1.32799i	−0.146046	+	0.0428831i
$960$	−5.89497	+	41.0004i	−0.190259	+	1.32328i
$961$	−12.5286	−	27.4339i	−0.404150	−	0.884965i
$962$	3.58193	+	24.9128i	0.115486	+	0.803222i
$963$	1.73617	−	1.11577i	0.0559472	−	0.0359551i
$964$	13.6456	−	15.7478i	0.439494	−	0.507203i
$965$	48.2359			1.55277
$966$	10.5966	−	2.60215i	0.340941	−	0.0837229i
$967$	24.4561			0.786456			0.393228	−	0.919441i	$-0.371358\pi$
$967$	24.4561			0.786456			0.393228	+	0.919441i	$0.371358\pi$
$968$	−19.2212	+	22.1825i	−0.617794	+	0.712972i
$969$	−41.2900	+	26.5355i	−1.32643	+	0.852442i
$970$	5.93416	+	41.2730i	0.190534	+	1.32520i
$971$	−12.4227	−	27.2020i	−0.398665	−	0.872954i	−0.997404	−	0.0720101i	$-0.977059\pi$
$971$	−12.4227	−	27.2020i	−0.398665	−	0.872954i	0.598739	−	0.800944i	$-0.295669\pi$
$972$	0.452064	−	3.14417i	0.0145000	−	0.100849i
$973$	−17.4097	+	5.11194i	−0.558129	+	0.163881i
$974$	−42.3054	−	27.1881i	−1.35555	−	0.871161i
$975$	8.16274	−	17.8739i	0.261417	−	0.572423i
$976$	−3.10170	−	0.910743i	−0.0992831	−	0.0291522i
$977$	−8.45069	−	9.75262i	−0.270362	−	0.312014i	0.604291	−	0.796763i	$-0.293456\pi$
$977$	−8.45069	−	9.75262i	−0.270362	−	0.312014i	−0.874653	+	0.484749i	$0.838911\pi$
$978$	12.1212	+	13.9887i	0.387594	+	0.447308i
$979$	−1.58591	−	0.465666i	−0.0506859	−	0.0148827i
$980$	4.19964	−	9.19592i	0.134152	−	0.293753i
$981$	−1.02488	−	0.658653i	−0.0327220	−	0.0210292i
$982$	−7.57358	+	2.22381i	−0.241683	+	0.0709645i
$983$	3.93377	−	27.3600i	0.125468	−	0.872647i	−0.825730	−	0.564065i	$-0.809237\pi$
$983$	3.93377	−	27.3600i	0.125468	−	0.872647i	0.951198	−	0.308582i	$-0.0998543\pi$
$984$	1.34735	+	2.95029i	0.0429521	+	0.0940519i
$985$	3.06945	+	21.3485i	0.0978007	+	0.680219i
$986$	44.9074	−	28.8602i	1.43014	−	0.919097i
$987$	0.812646	−	0.937844i	0.0258668	−	0.0298519i
$988$	−83.9116			−2.66958
$989$	37.9362	+	47.9628i	1.20630	+	1.52513i
$990$	1.34933			0.0428845
$991$	−4.04733	+	4.67087i	−0.128568	+	0.148375i	−0.816383	−	0.577510i	$-0.804024\pi$
$991$	−4.04733	+	4.67087i	−0.128568	+	0.148375i	0.687816	+	0.725885i	$0.258570\pi$
$992$	−4.59052	+	2.95015i	−0.145749	+	0.0936672i
$993$	−4.75115	−	33.0450i	−0.150773	−	1.04865i
$994$	2.81377	+	6.16130i	0.0892474	+	0.195425i
$995$	7.56820	−	52.6380i	0.239928	−	1.66874i
$996$	−21.2294	+	6.23353i	−0.672681	+	0.197517i
$997$	26.1088	+	16.7791i	0.826875	+	0.531400i	0.884283	−	0.466950i	$-0.154647\pi$
$997$	26.1088	+	16.7791i	0.826875	+	0.531400i	−0.0574084	+	0.998351i	$0.518284\pi$
$998$	−0.885850	+	1.93974i	−0.0280411	+	0.0614015i
$999$	−2.77048	−	0.813486i	−0.0876541	−	0.0257376i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	483.2.q.e.85.6	✓	60
23.13	even	11	inner	483.2.q.e.358.6	yes	60

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
483.2.q.e.85.6	✓	60	1.1	even	1	trivial
483.2.q.e.358.6	yes	60	23.13	even	11	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 483 = 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	483.q (of order \(11\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(1.48993 - 1.71948i) q^{2} +(-0.841254 + 0.540641i) q^{3} +(-0.452064 - 3.14417i) q^{4} +(1.32209 + 2.89498i) q^{5} +(-0.323794 + 2.25204i) q^{6} +(0.959493 - 0.281733i) q^{7} +(-2.25185 - 1.44718i) q^{8} +(0.415415 - 0.909632i) q^{9} +O(q^{10})\)	\(q+(1.48993 - 1.71948i) q^{2} +(-0.841254 + 0.540641i) q^{3} +(-0.452064 - 3.14417i) q^{4} +(1.32209 + 2.89498i) q^{5} +(-0.323794 + 2.25204i) q^{6} +(0.959493 - 0.281733i) q^{7} +(-2.25185 - 1.44718i) q^{8} +(0.415415 - 0.909632i) q^{9} +(6.94768 + 2.04002i) q^{10} +(0.122031 + 0.140831i) q^{11} +(2.08017 + 2.40064i) q^{12} +(3.67601 + 1.07937i) q^{13} +(0.945150 - 2.06959i) q^{14} +(-2.67736 - 1.72063i) q^{15} +(0.252175 - 0.0740452i) q^{16} +(-1.01305 + 7.04592i) q^{17} +(-0.945150 - 2.06959i) q^{18} +(-0.981268 - 6.82487i) q^{19} +(8.50465 - 5.46560i) q^{20} +(-0.654861 + 0.755750i) q^{21} +0.423973 q^{22} +(-0.469239 - 4.77282i) q^{23} +2.67678 q^{24} +(-3.35867 + 3.87611i) q^{25} +(7.33298 - 4.71262i) q^{26} +(0.142315 + 0.989821i) q^{27} +(-1.31957 - 2.88945i) q^{28} +(0.469075 - 3.26249i) q^{29} +(-6.94768 + 2.04002i) q^{30} +(-0.771317 - 0.495695i) q^{31} +(2.47235 - 5.41370i) q^{32} +(-0.178797 - 0.0524997i) q^{33} +(10.6059 + 12.2399i) q^{34} +(2.08415 + 2.40524i) q^{35} +(-3.04784 - 0.894925i) q^{36} +(-1.19949 + 2.62651i) q^{37} +(-13.1972 - 8.48134i) q^{38} +(-3.67601 + 1.07937i) q^{39} +(1.21239 - 8.43236i) q^{40} +(0.503349 + 1.10218i) q^{41} +(0.323794 + 2.25204i) q^{42} +(-10.7269 + 6.89377i) q^{43} +(0.387631 - 0.447350i) q^{44} +3.18258 q^{45} +(-8.90589 - 6.30435i) q^{46} -1.24094 q^{47} +(-0.172111 + 0.198627i) q^{48} +(0.841254 - 0.540641i) q^{49} +(1.66068 + 11.5503i) q^{50} +(-2.95708 - 6.47510i) q^{51} +(1.73195 - 12.0460i) q^{52} +(-7.17225 + 2.10596i) q^{53} +(1.91401 + 1.23006i) q^{54} +(-0.246366 + 0.539467i) q^{55} +(-2.56835 - 0.754136i) q^{56} +(4.51530 + 5.21093i) q^{57} +(-4.91088 - 5.66746i) q^{58} +(8.15509 + 2.39455i) q^{59} +(-4.19964 + 9.19592i) q^{60} +(-10.3473 - 6.64978i) q^{61} +(-2.00155 + 0.587708i) q^{62} +(0.142315 - 0.989821i) q^{63} +(-5.40672 - 11.8391i) q^{64} +(1.73526 + 12.0690i) q^{65} +(-0.356669 + 0.229217i) q^{66} +(2.75815 - 3.18307i) q^{67} +22.6115 q^{68} +(2.97513 + 3.76146i) q^{69} +7.24099 q^{70} +(-1.94956 + 2.24992i) q^{71} +(-2.25185 + 1.44718i) q^{72} +(-1.49374 - 10.3892i) q^{73} +(2.72906 + 5.97582i) q^{74} +(0.729909 - 5.07663i) q^{75} +(-21.0150 + 6.17055i) q^{76} +(0.156764 + 0.100746i) q^{77} +(-3.62106 + 7.92901i) q^{78} +(14.2557 + 4.18585i) q^{79} +(0.547758 + 0.632146i) q^{80} +(-0.654861 - 0.755750i) q^{81} +(2.64513 + 0.776680i) q^{82} +(-2.89354 + 6.33597i) q^{83} +(2.67225 + 1.71735i) q^{84} +(-21.7371 + 6.38260i) q^{85} +(-4.12873 + 28.7160i) q^{86} +(1.36922 + 2.99818i) q^{87} +(-0.0709876 - 0.493729i) q^{88} +(-7.46181 + 4.79542i) q^{89} +(4.74184 - 5.47238i) q^{90} +3.83120 q^{91} +(-14.7945 + 3.63299i) q^{92} +0.916867 q^{93} +(-1.84893 + 2.13378i) q^{94} +(18.4605 - 11.8639i) q^{95} +(0.846991 + 5.89095i) q^{96} +(2.39218 + 5.23814i) q^{97} +(0.323794 - 2.25204i) q^{98} +(0.178797 - 0.0524997i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 60 q - q^{2} + 6 q^{3} - 3 q^{4} + 5 q^{5} + q^{6} + 6 q^{7} + 13 q^{8} - 6 q^{9}+O(q^{10}) \) 60 * q - q^2 + 6 * q^3 - 3 * q^4 + 5 * q^5 + q^6 + 6 * q^7 + 13 * q^8 - 6 * q^9	\( 60 q - q^{2} + 6 q^{3} - 3 q^{4} + 5 q^{5} + q^{6} + 6 q^{7} + 13 q^{8} - 6 q^{9} - 4 q^{10} - q^{11} + 3 q^{12} + 22 q^{13} + q^{14} + 6 q^{15} - 5 q^{16} + 9 q^{17} - q^{18} - 34 q^{19} + 67 q^{20} - 6 q^{21} - 28 q^{22} - 13 q^{23} + 42 q^{24} - 15 q^{25} - 4 q^{26} + 6 q^{27} + 14 q^{28} - 23 q^{29} + 4 q^{30} + 27 q^{31} + 37 q^{32} + q^{33} + 3 q^{34} + 6 q^{35} - 3 q^{36} - 82 q^{37} + 2 q^{38} - 22 q^{39} + 57 q^{40} - 22 q^{41} - q^{42} + 25 q^{43} - 41 q^{44} + 16 q^{45} - 47 q^{46} - 90 q^{47} - 28 q^{48} - 6 q^{49} + 55 q^{50} - 9 q^{51} - 92 q^{52} - 17 q^{53} - 10 q^{54} + 21 q^{55} + 9 q^{56} - 32 q^{57} + 87 q^{58} + 38 q^{59} - 45 q^{60} + 23 q^{61} + q^{62} + 6 q^{63} - 75 q^{64} - 75 q^{65} + 61 q^{66} + 5 q^{67} + 88 q^{68} + 13 q^{69} - 18 q^{70} + 8 q^{71} + 13 q^{72} + 90 q^{73} + 79 q^{74} - 18 q^{75} - 85 q^{76} - 10 q^{77} - 18 q^{78} - 6 q^{79} - 147 q^{80} - 6 q^{81} + 112 q^{82} - 90 q^{83} - 3 q^{84} + 55 q^{85} - 8 q^{86} - 10 q^{87} - 210 q^{88} - 15 q^{89} - 4 q^{90} - 22 q^{91} + 39 q^{92} + 50 q^{93} + 144 q^{94} + 72 q^{95} + 7 q^{96} - 48 q^{97} - q^{98} - q^{99}+O(q^{100}) \) 60 * q - q^2 + 6 * q^3 - 3 * q^4 + 5 * q^5 + q^6 + 6 * q^7 + 13 * q^8 - 6 * q^9 - 4 * q^10 - q^11 + 3 * q^12 + 22 * q^13 + q^14 + 6 * q^15 - 5 * q^16 + 9 * q^17 - q^18 - 34 * q^19 + 67 * q^20 - 6 * q^21 - 28 * q^22 - 13 * q^23 + 42 * q^24 - 15 * q^25 - 4 * q^26 + 6 * q^27 + 14 * q^28 - 23 * q^29 + 4 * q^30 + 27 * q^31 + 37 * q^32 + q^33 + 3 * q^34 + 6 * q^35 - 3 * q^36 - 82 * q^37 + 2 * q^38 - 22 * q^39 + 57 * q^40 - 22 * q^41 - q^42 + 25 * q^43 - 41 * q^44 + 16 * q^45 - 47 * q^46 - 90 * q^47 - 28 * q^48 - 6 * q^49 + 55 * q^50 - 9 * q^51 - 92 * q^52 - 17 * q^53 - 10 * q^54 + 21 * q^55 + 9 * q^56 - 32 * q^57 + 87 * q^58 + 38 * q^59 - 45 * q^60 + 23 * q^61 + q^62 + 6 * q^63 - 75 * q^64 - 75 * q^65 + 61 * q^66 + 5 * q^67 + 88 * q^68 + 13 * q^69 - 18 * q^70 + 8 * q^71 + 13 * q^72 + 90 * q^73 + 79 * q^74 - 18 * q^75 - 85 * q^76 - 10 * q^77 - 18 * q^78 - 6 * q^79 - 147 * q^80 - 6 * q^81 + 112 * q^82 - 90 * q^83 - 3 * q^84 + 55 * q^85 - 8 * q^86 - 10 * q^87 - 210 * q^88 - 15 * q^89 - 4 * q^90 - 22 * q^91 + 39 * q^92 + 50 * q^93 + 144 * q^94 + 72 * q^95 + 7 * q^96 - 48 * q^97 - q^98 - q^99

Introduction

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