LMFDB - Embedded newform 731.2.k.b.188.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [731,2,Mod(35,731)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(731, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([0, 6]))

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

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

chi := DirichletCharacter("731.35");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 731 = 17 \cdot 43 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	731.k (of order $7$, degree $6$, 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:	$5.83706438776$
Analytic rank:	$0$
Dimension:	$180$
Relative dimension:	$30$ over $\Q(\zeta_{7})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			188.8
Character	$\chi$	$=$	731.188
Dual form			731.2.k.b.35.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.335627 - 1.47048i) q^{2} +(-0.201066 + 0.880929i) q^{3} +(-0.247722 + 0.119297i) q^{4} +(-1.49293 - 1.87208i) q^{5} +1.36287 q^{6} +3.95170 q^{7} +(-1.62225 - 2.03423i) q^{8} +(1.96730 + 0.947401i) q^{9} +O(q^{10})$	\(q+(-0.335627 - 1.47048i) q^{2} +(-0.201066 + 0.880929i) q^{3} +(-0.247722 + 0.119297i) q^{4} +(-1.49293 - 1.87208i) q^{5} +1.36287 q^{6} +3.95170 q^{7} +(-1.62225 - 2.03423i) q^{8} +(1.96730 + 0.947401i) q^{9} +(-2.25178 + 2.82365i) q^{10} +(2.02118 + 0.973350i) q^{11} +(-0.0552833 - 0.242212i) q^{12} +(1.72069 + 2.15767i) q^{13} +(-1.32630 - 5.81088i) q^{14} +(1.94935 - 0.938756i) q^{15} +(-2.78968 + 3.49815i) q^{16} +(-0.623490 + 0.781831i) q^{17} +(0.732854 - 3.21084i) q^{18} +(3.36027 - 1.61822i) q^{19} +(0.593165 + 0.285653i) q^{20} +(-0.794552 + 3.48116i) q^{21} +(0.752927 - 3.29879i) q^{22} +(-0.868322 - 0.418162i) q^{23} +(2.11819 - 1.02007i) q^{24} +(-0.163226 + 0.715139i) q^{25} +(2.59530 - 3.25440i) q^{26} +(-2.92028 + 3.66191i) q^{27} +(-0.978921 + 0.471424i) q^{28} +(0.474521 + 2.07901i) q^{29} +(-2.03467 - 2.55140i) q^{30} +(-0.600695 - 2.63182i) q^{31} +(1.39182 + 0.670264i) q^{32} +(-1.26384 + 1.58481i) q^{33} +(1.35893 + 0.654424i) q^{34} +(-5.89962 - 7.39789i) q^{35} -0.600365 q^{36} +6.44441 q^{37} +(-3.50735 - 4.39808i) q^{38} +(-2.24673 + 1.08197i) q^{39} +(-1.38634 + 6.07395i) q^{40} +(-1.92207 - 8.42114i) q^{41} +5.38564 q^{42} +(0.0774838 - 6.55698i) q^{43} -0.616809 q^{44} +(-1.16344 - 5.09735i) q^{45} +(-0.323466 + 1.41720i) q^{46} +(-7.42309 + 3.57477i) q^{47} +(-2.52071 - 3.16087i) q^{48} +8.61590 q^{49} +1.10638 q^{50} +(-0.563375 - 0.706450i) q^{51} +(-0.683655 - 0.329231i) q^{52} +(1.35665 - 1.70119i) q^{53} +(6.36488 + 3.06516i) q^{54} +(-1.19530 - 5.23696i) q^{55} +(-6.41062 - 8.03867i) q^{56} +(0.749899 + 3.28552i) q^{57} +(2.89788 - 1.39554i) q^{58} +(5.89899 - 7.39710i) q^{59} +(-0.370905 + 0.465101i) q^{60} +(0.373310 - 1.63558i) q^{61} +(-3.66842 + 1.76662i) q^{62} +(7.77417 + 3.74384i) q^{63} +(-1.47278 + 6.45265i) q^{64} +(1.47046 - 6.44252i) q^{65} +(2.75461 + 1.32655i) q^{66} +(-3.62965 + 1.74795i) q^{67} +(0.0611822 - 0.268057i) q^{68} +(0.542961 - 0.680852i) q^{69} +(-8.89836 + 11.1582i) q^{70} +(2.80094 - 1.34886i) q^{71} +(-1.26421 - 5.53886i) q^{72} +(2.74129 + 3.43747i) q^{73} +(-2.16292 - 9.47636i) q^{74} +(-0.597167 - 0.287581i) q^{75} +(-0.639364 + 0.801737i) q^{76} +(7.98710 + 3.84638i) q^{77} +(2.34507 + 2.94063i) q^{78} -10.7391 q^{79} +10.7136 q^{80} +(1.44553 + 1.81263i) q^{81} +(-11.7380 + 5.65273i) q^{82} +(-0.141720 + 0.620914i) q^{83} +(-0.218463 - 0.957147i) q^{84} +2.39448 q^{85} +(-9.66790 + 2.08676i) q^{86} -1.92687 q^{87} +(-1.29884 - 5.69057i) q^{88} +(-0.739618 + 3.24048i) q^{89} +(-7.10505 + 3.42161i) q^{90} +(6.79963 + 8.52647i) q^{91} +0.264988 q^{92} +2.43922 q^{93} +(7.74802 + 9.71570i) q^{94} +(-8.04609 - 3.87479i) q^{95} +(-0.870302 + 1.09132i) q^{96} +(-5.47622 - 2.63721i) q^{97} +(-2.89173 - 12.6695i) q^{98} +(3.05412 + 3.82974i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 180 q + 2 q^{3} - 34 q^{4} + 2 q^{5} + 6 q^{6} - 54 q^{7} + 14 q^{8} - 18 q^{9}+O(q^{10}) $ 180 * q + 2 * q^3 - 34 * q^4 + 2 * q^5 + 6 * q^6 - 54 * q^7 + 14 * q^8 - 18 * q^9	\( 180 q + 2 q^{3} - 34 q^{4} + 2 q^{5} + 6 q^{6} - 54 q^{7} + 14 q^{8} - 18 q^{9} - 8 q^{10} + 4 q^{11} - 4 q^{12} - 5 q^{13} + 24 q^{14} + 11 q^{15} - 58 q^{16} + 30 q^{17} - 84 q^{18} - 4 q^{20} - 28 q^{21} - 49 q^{22} - 23 q^{23} - 6 q^{24} - 14 q^{25} + 14 q^{26} + 20 q^{27} - 14 q^{28} - 60 q^{29} - 5 q^{30} + 36 q^{31} + 39 q^{32} - 39 q^{33} - 14 q^{35} + 224 q^{36} - 184 q^{37} + 32 q^{38} + 58 q^{39} + 22 q^{40} - 48 q^{41} - 58 q^{42} + 2 q^{43} + 134 q^{44} - 54 q^{45} - 5 q^{46} - 35 q^{47} + 44 q^{48} + 174 q^{49} - 70 q^{50} - 2 q^{51} - 22 q^{52} + 8 q^{53} + 70 q^{54} + 51 q^{55} - 61 q^{56} + 72 q^{57} + 29 q^{58} + 35 q^{59} + 96 q^{60} - 40 q^{61} + 20 q^{62} - 35 q^{63} - 18 q^{64} - 17 q^{65} - 218 q^{66} + 16 q^{67} + 27 q^{68} + 50 q^{69} + 72 q^{70} - 20 q^{71} - 143 q^{72} - 4 q^{73} - 35 q^{74} - 45 q^{75} - 148 q^{76} + 40 q^{77} - 220 q^{78} - 12 q^{79} - 222 q^{80} + 12 q^{81} + 50 q^{82} + 16 q^{83} - 170 q^{84} - 2 q^{85} + 108 q^{86} + 78 q^{87} - 14 q^{88} + 55 q^{89} + 105 q^{90} - 53 q^{91} - 28 q^{92} - 142 q^{93} + 108 q^{94} - 49 q^{95} - 148 q^{96} + 73 q^{97} + 6 q^{98} - 73 q^{99}+O(q^{100}) \) 180 * q + 2 * q^3 - 34 * q^4 + 2 * q^5 + 6 * q^6 - 54 * q^7 + 14 * q^8 - 18 * q^9 - 8 * q^10 + 4 * q^11 - 4 * q^12 - 5 * q^13 + 24 * q^14 + 11 * q^15 - 58 * q^16 + 30 * q^17 - 84 * q^18 - 4 * q^20 - 28 * q^21 - 49 * q^22 - 23 * q^23 - 6 * q^24 - 14 * q^25 + 14 * q^26 + 20 * q^27 - 14 * q^28 - 60 * q^29 - 5 * q^30 + 36 * q^31 + 39 * q^32 - 39 * q^33 - 14 * q^35 + 224 * q^36 - 184 * q^37 + 32 * q^38 + 58 * q^39 + 22 * q^40 - 48 * q^41 - 58 * q^42 + 2 * q^43 + 134 * q^44 - 54 * q^45 - 5 * q^46 - 35 * q^47 + 44 * q^48 + 174 * q^49 - 70 * q^50 - 2 * q^51 - 22 * q^52 + 8 * q^53 + 70 * q^54 + 51 * q^55 - 61 * q^56 + 72 * q^57 + 29 * q^58 + 35 * q^59 + 96 * q^60 - 40 * q^61 + 20 * q^62 - 35 * q^63 - 18 * q^64 - 17 * q^65 - 218 * q^66 + 16 * q^67 + 27 * q^68 + 50 * q^69 + 72 * q^70 - 20 * q^71 - 143 * q^72 - 4 * q^73 - 35 * q^74 - 45 * q^75 - 148 * q^76 + 40 * q^77 - 220 * q^78 - 12 * q^79 - 222 * q^80 + 12 * q^81 + 50 * q^82 + 16 * q^83 - 170 * q^84 - 2 * q^85 + 108 * q^86 + 78 * q^87 - 14 * q^88 + 55 * q^89 + 105 * q^90 - 53 * q^91 - 28 * q^92 - 142 * q^93 + 108 * q^94 - 49 * q^95 - 148 * q^96 + 73 * q^97 + 6 * q^98 - 73 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/731\mathbb{Z}\right)^\times$.

$n$	$173$	$562$
$\chi(n)$	$1$	$e\left(\frac{4}{7}\right)$

Coefficient data

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

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

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

$2$	−0.335627	−	1.47048i	−0.237324	−	1.03978i	−0.943402	−	0.331651i	$-0.892394\pi$
$2$	−0.335627	−	1.47048i	−0.237324	−	1.03978i	0.706078	−	0.708134i	$-0.250463\pi$
$3$	−0.201066	+	0.880929i	−0.116086	+	0.508604i	0.883135	+	0.469120i	$0.155429\pi$
$3$	−0.201066	+	0.880929i	−0.116086	+	0.508604i	−0.999220	+	0.0394846i	$0.987428\pi$
$4$	−0.247722	+	0.119297i	−0.123861	+	0.0596483i
$5$	−1.49293	−	1.87208i	−0.667660	−	0.837219i	0.326493	−	0.945200i	$-0.394133\pi$
$5$	−1.49293	−	1.87208i	−0.667660	−	0.837219i	−0.994153	+	0.107980i	$0.965562\pi$
$6$	1.36287			0.556389
$7$	3.95170			1.49360			0.746800	−	0.665048i	$-0.231589\pi$
$7$	3.95170			1.49360			0.746800	+	0.665048i	$0.231589\pi$
$8$	−1.62225	−	2.03423i	−0.573551	−	0.719210i
$9$	1.96730	+	0.947401i	0.655766	+	0.315800i
$10$	−2.25178	+	2.82365i	−0.712076	+	0.892915i
$11$	2.02118	+	0.973350i	0.609410	+	0.293476i	0.713022	−	0.701142i	$-0.247326\pi$
$11$	2.02118	+	0.973350i	0.609410	+	0.293476i	−0.103613	+	0.994618i	$0.533040\pi$
$12$	−0.0552833	−	0.242212i	−0.0159589	−	0.0699205i
$13$	1.72069	+	2.15767i	0.477233	+	0.598431i	0.960926	−	0.276807i	$-0.0892763\pi$
$13$	1.72069	+	2.15767i	0.477233	+	0.598431i	−0.483693	+	0.875238i	$0.660705\pi$
$14$	−1.32630	−	5.81088i	−0.354467	−	1.55302i
$15$	1.94935	−	0.938756i	0.503319	−	0.242386i
$16$	−2.78968	+	3.49815i	−0.697421	+	0.874538i
$17$	−0.623490	+	0.781831i	−0.151218	+	0.189622i
$17$	−0.623490	+	0.781831i	−0.151218	+	0.189622i
$18$	0.732854	−	3.21084i	0.172735	−	0.756803i
$19$	3.36027	−	1.61822i	0.770898	−	0.371245i	−0.00672364	−	0.999977i	$-0.502140\pi$
$19$	3.36027	−	1.61822i	0.770898	−	0.371245i	0.777622	+	0.628732i	$0.216426\pi$
$20$	0.593165	+	0.285653i	0.132636	+	0.0638740i
$21$	−0.794552	+	3.48116i	−0.173386	+	0.759652i
$22$	0.752927	−	3.29879i	0.160524	−	0.703304i
$23$	−0.868322	−	0.418162i	−0.181058	−	0.0871928i	0.341159	−	0.940006i	$-0.389181\pi$
$23$	−0.868322	−	0.418162i	−0.181058	−	0.0871928i	−0.522217	+	0.852813i	$0.674895\pi$
$24$	2.11819	−	1.02007i	0.432374	−	0.208220i
$25$	−0.163226	+	0.715139i	−0.0326452	+	0.143028i
$26$	2.59530	−	3.25440i	0.508980	−	0.638241i
$27$	−2.92028	+	3.66191i	−0.562007	+	0.704735i
$28$	−0.978921	+	0.471424i	−0.184999	+	0.0890907i
$29$	0.474521	+	2.07901i	0.0881163	+	0.386063i	0.999685	−	0.0250843i	$-0.00798541\pi$
$29$	0.474521	+	2.07901i	0.0881163	+	0.386063i	−0.911569	+	0.411147i	$0.865128\pi$
$30$	−2.03467	−	2.55140i	−0.371479	−	0.465820i
$31$	−0.600695	−	2.63182i	−0.107888	−	0.472688i	−0.999791	−	0.0204609i	$-0.993487\pi$
$31$	−0.600695	−	2.63182i	−0.107888	−	0.472688i	0.891903	−	0.452228i	$-0.149370\pi$
$32$	1.39182	+	0.670264i	0.246041	+	0.118487i
$33$	−1.26384	+	1.58481i	−0.220007	+	0.275880i
$34$	1.35893	+	0.654424i	0.233054	+	0.112233i
$35$	−5.89962	−	7.39789i	−0.997217	−	1.25047i
$36$	−0.600365			−0.100061
$37$	6.44441			1.05945			0.529727	−	0.848168i	$-0.322294\pi$
$37$	6.44441			1.05945			0.529727	+	0.848168i	$0.322294\pi$
$38$	−3.50735	−	4.39808i	−0.568968	−	0.713463i
$39$	−2.24673	+	1.08197i	−0.359764	+	0.173253i
$40$	−1.38634	+	6.07395i	−0.219199	+	0.960376i
$41$	−1.92207	−	8.42114i	−0.300177	−	1.31516i	−0.869861	−	0.493298i	$-0.835791\pi$
$41$	−1.92207	−	8.42114i	−0.300177	−	1.31516i	0.569683	−	0.821864i	$-0.307066\pi$
$42$	5.38564			0.831023
$43$	0.0774838	−	6.55698i	0.0118162	−	0.999930i
$43$	0.0774838	−	6.55698i	0.0118162	−	0.999930i
$44$	−0.616809			−0.0929874
$45$	−1.16344	−	5.09735i	−0.173435	−	0.759868i
$46$	−0.323466	+	1.41720i	−0.0476924	+	0.208954i
$47$	−7.42309	+	3.57477i	−1.08277	+	0.521434i	−0.888201	−	0.459455i	$-0.848045\pi$
$47$	−7.42309	+	3.57477i	−1.08277	+	0.521434i	−0.194568	+	0.980889i	$0.562331\pi$
$48$	−2.52071	−	3.16087i	−0.363833	−	0.456232i
$49$	8.61590			1.23084
$50$	1.10638			0.156466
$51$	−0.563375	−	0.706450i	−0.0788883	−	0.0989228i
$52$	−0.683655	−	0.329231i	−0.0948058	−	0.0456561i
$53$	1.35665	−	1.70119i	0.186350	−	0.233676i	−0.679877	−	0.733326i	$-0.737967\pi$
$53$	1.35665	−	1.70119i	0.186350	−	0.233676i	0.866227	+	0.499650i	$0.166538\pi$
$54$	6.36488	+	3.06516i	0.866150	+	0.417116i
$55$	−1.19530	−	5.23696i	−0.161175	−	0.706152i
$56$	−6.41062	−	8.03867i	−0.856656	−	1.07421i
$57$	0.749899	+	3.28552i	0.0993266	+	0.435178i
$58$	2.89788	−	1.39554i	0.380510	−	0.183244i
$59$	5.89899	−	7.39710i	0.767983	−	0.963020i	−0.231970	−	0.972723i	$-0.574517\pi$
$59$	5.89899	−	7.39710i	0.767983	−	0.963020i	0.999953	+	0.00970310i	$0.00308864\pi$
$60$	−0.370905	+	0.465101i	−0.0478837	+	0.0600442i
$61$	0.373310	−	1.63558i	0.0477974	−	0.209414i	−0.945390	−	0.325941i	$-0.894319\pi$
$61$	0.373310	−	1.63558i	0.0477974	−	0.209414i	0.993188	+	0.116527i	$0.0371761\pi$
$62$	−3.66842	+	1.76662i	−0.465890	+	0.224361i
$63$	7.77417	+	3.74384i	0.979453	+	0.471680i
$64$	−1.47278	+	6.45265i	−0.184097	+	0.806581i
$65$	1.47046	−	6.44252i	0.182389	−	0.799097i
$66$	2.75461	+	1.32655i	0.339069	+	0.163287i
$67$	−3.62965	+	1.74795i	−0.443433	+	0.213546i	−0.642257	−	0.766489i	$-0.722002\pi$
$67$	−3.62965	+	1.74795i	−0.443433	+	0.213546i	0.198825	+	0.980035i	$0.436288\pi$
$68$	0.0611822	−	0.268057i	0.00741944	−	0.0325067i
$69$	0.542961	−	0.680852i	0.0653648	−	0.0819649i
$70$	−8.89836	+	11.1582i	−1.06356	+	1.33366i
$71$	2.80094	−	1.34886i	0.332410	−	0.160080i	−0.260232	−	0.965546i	$-0.583799\pi$
$71$	2.80094	−	1.34886i	0.332410	−	0.160080i	0.592642	+	0.805466i	$0.298085\pi$
$72$	−1.26421	−	5.53886i	−0.148989	−	0.652761i
$73$	2.74129	+	3.43747i	0.320844	+	0.402326i	0.915931	−	0.401335i	$-0.131454\pi$
$73$	2.74129	+	3.43747i	0.320844	+	0.402326i	−0.595087	+	0.803661i	$0.702882\pi$
$74$	−2.16292	−	9.47636i	−0.251434	−	1.10160i
$75$	−0.597167	−	0.287581i	−0.0689550	−	0.0332070i
$76$	−0.639364	+	0.801737i	−0.0733400	+	0.0919655i
$77$	7.98710	+	3.84638i	0.910214	+	0.438336i
$78$	2.34507	+	2.94063i	0.265527	+	0.332960i
$79$	−10.7391			−1.20824			−0.604121	−	0.796892i	$-0.706476\pi$
$79$	−10.7391			−1.20824			−0.604121	+	0.796892i	$0.706476\pi$
$80$	10.7136			1.19782
$81$	1.44553	+	1.81263i	0.160614	+	0.201404i
$82$	−11.7380	+	5.65273i	−1.29625	+	0.624239i
$83$	−0.141720	+	0.620914i	−0.0155558	+	0.0681542i	−0.982110	−	0.188308i	$-0.939700\pi$
$83$	−0.141720	+	0.620914i	−0.0155558	+	0.0681542i	0.966554	+	0.256462i	$0.0825569\pi$
$84$	−0.218463	−	0.957147i	−0.0238362	−	0.104433i
$85$	2.39448			0.259718
$86$	−9.66790	+	2.08676i	−1.04252	+	0.225021i
$87$	−1.92687			−0.206582
$88$	−1.29884	−	5.69057i	−0.138456	−	0.606617i
$89$	−0.739618	+	3.24048i	−0.0783994	+	0.343490i	−0.998881	−	0.0472959i	$-0.984940\pi$
$89$	−0.739618	+	3.24048i	−0.0783994	+	0.343490i	0.920482	+	0.390786i	$0.127797\pi$
$90$	−7.10505	+	3.42161i	−0.748939	+	0.360670i
$91$	6.79963	+	8.52647i	0.712795	+	0.893817i
$92$	0.264988			0.0276269
$93$	2.43922			0.252936
$94$	7.74802	+	9.71570i	0.799147	+	1.00210i
$95$	−8.04609	−	3.87479i	−0.825511	−	0.397545i
$96$	−0.870302	+	1.09132i	−0.0888249	+	0.111383i
$97$	−5.47622	−	2.63721i	−0.556025	−	0.267768i	0.134698	−	0.990887i	$-0.456994\pi$
$97$	−5.47622	−	2.63721i	−0.556025	−	0.267768i	−0.690724	+	0.723119i	$0.742708\pi$
$98$	−2.89173	−	12.6695i	−0.292109	−	1.27981i
$99$	3.05412	+	3.82974i	0.306950	+	0.384904i
$100$	−0.0448790	−	0.196628i	−0.00448790	−	0.0196628i
$101$	−2.78314	+	1.34029i	−0.276933	+	0.133364i	−0.567196	−	0.823583i	$-0.691972\pi$
$101$	−2.78314	+	1.34029i	−0.276933	+	0.133364i	0.290262	+	0.956947i	$0.406257\pi$
$102$	−0.849735	+	1.06553i	−0.0841363	+	0.105504i
$103$	−4.17580	+	5.23629i	−0.411454	+	0.515947i	−0.943772	−	0.330598i	$-0.892750\pi$
$103$	−4.17580	+	5.23629i	−0.411454	+	0.515947i	0.532318	+	0.846545i	$0.321321\pi$
$104$	1.59783	−	7.00056i	0.156680	−	0.686461i
$105$	7.70322	−	3.70968i	0.751758	−	0.362027i
$106$	−2.95689	−	1.42396i	−0.287198	−	0.138307i
$107$	−2.45836	+	10.7708i	−0.237659	+	1.04125i	0.705448	+	0.708762i	$0.250746\pi$
$107$	−2.45836	+	10.7708i	−0.237659	+	1.04125i	−0.943107	+	0.332490i	$0.892111\pi$
$108$	0.286563	−	1.25551i	0.0275745	−	0.120812i
$109$	−0.725380	−	0.349325i	−0.0694788	−	0.0334592i	0.398822	−	0.917028i	$-0.369419\pi$
$109$	−0.725380	−	0.349325i	−0.0694788	−	0.0334592i	−0.468300	+	0.883569i	$0.655134\pi$
$110$	−7.29966	+	3.51533i	−0.695995	+	0.335174i
$111$	−1.29575	+	5.67706i	−0.122987	+	0.538843i
$112$	−11.0240	+	13.8236i	−1.04167	+	1.30621i
$113$	−7.80175	+	9.78308i	−0.733926	+	0.920315i	−0.999036	−	0.0439037i	$-0.986021\pi$
$113$	−7.80175	+	9.78308i	−0.733926	+	0.920315i	0.265109	+	0.964218i	$0.414592\pi$
$114$	4.57960	−	2.20542i	0.428919	−	0.206557i
$115$	0.513515	+	2.24986i	0.0478855	+	0.209800i
$116$	−0.365568	−	0.458408i	−0.0339421	−	0.0425621i
$117$	1.34092	+	5.87497i	0.123968	+	0.543141i
$118$	−12.8571	−	6.19166i	−1.18359	−	0.569989i
$119$	−2.46384	+	3.08956i	−0.225860	+	0.283220i
$120$	−5.07197	−	2.44253i	−0.463005	−	0.222972i
$121$	−3.72062	−	4.66551i	−0.338238	−	0.424137i
$122$	−2.53037			−0.229089
$123$	7.80489			0.703743
$124$	0.462772	+	0.580298i	0.0415582	+	0.0521123i
$125$	−9.20427	+	4.43254i	−0.823255	+	0.396459i
$126$	2.89602	−	12.6883i	0.257998	−	1.13036i
$127$	2.17761	+	9.54072i	0.193231	+	0.846602i	0.974853	+	0.222849i	$0.0715356\pi$
$127$	2.17761	+	9.54072i	0.193231	+	0.846602i	−0.781622	+	0.623753i	$0.785607\pi$
$128$	13.0724			1.15545
$129$	5.76065	+	1.38664i	0.507197	+	0.122087i
$130$	−9.96712			−0.874174
$131$	1.56768	+	6.86844i	0.136969	+	0.600099i	0.996091	+	0.0883291i	$0.0281527\pi$
$131$	1.56768	+	6.86844i	0.136969	+	0.600099i	−0.859123	+	0.511770i	$0.828990\pi$
$132$	0.124019	−	0.543364i	0.0107945	−	0.0472938i
$133$	13.2788	−	6.39471i	1.15141	−	0.554492i
$134$	3.78853	+	4.75066i	0.327279	+	0.410395i
$135$	11.2152			0.965247
$136$	2.60188			0.223110
$137$	−2.81003	−	3.52367i	−0.240077	−	0.301048i	0.647166	−	0.762349i	$-0.275954\pi$
$137$	−2.81003	−	3.52367i	−0.240077	−	0.301048i	−0.887243	+	0.461302i	$0.847383\pi$
$138$	−1.18341	−	0.569900i	−0.100739	−	0.0485131i
$139$	−12.7900	+	16.0382i	−1.08483	+	1.36034i	−0.156892	+	0.987616i	$0.550147\pi$
$139$	−12.7900	+	16.0382i	−1.08483	+	1.36034i	−0.927942	+	0.372724i	$0.878424\pi$
$140$	2.34401	+	1.12881i	0.198105	+	0.0954022i
$141$	−1.65659	−	7.25798i	−0.139510	−	0.611232i
$142$	−2.92354	−	3.66601i	−0.245338	−	0.307644i
$143$	1.37765	+	6.03588i	0.115205	+	0.504746i
$144$	−8.80229	+	4.23896i	−0.733524	+	0.353247i
$145$	3.18365	−	3.99217i	0.264387	−	0.331531i
$146$	4.13468	−	5.18472i	0.342188	−	0.429090i
$147$	−1.73237	+	7.58999i	−0.142883	+	0.626012i
$148$	−1.59642	+	0.768796i	−0.131225	+	0.0631946i
$149$	15.5544	+	7.49061i	1.27427	+	0.613655i	0.943911	−	0.330201i	$-0.107117\pi$
$149$	15.5544	+	7.49061i	1.27427	+	0.613655i	0.330357	+	0.943856i	$0.392831\pi$
$150$	−0.222456	+	0.974641i	−0.0181634	+	0.0795791i
$151$	2.07070	−	9.07234i	0.168511	−	0.738296i	−0.818082	−	0.575101i	$-0.804963\pi$
$151$	2.07070	−	9.07234i	0.168511	−	0.738296i	0.986594	−	0.163195i	$-0.0521801\pi$
$152$	−8.74302	−	4.21041i	−0.709152	−	0.341510i
$153$	−1.96730	+	0.947401i	−0.159047	+	0.0765929i
$154$	2.97534	−	13.0358i	0.239759	−	1.05045i
$155$	−4.03017	+	5.05368i	−0.323711	+	0.405921i
$156$	0.427489	−	0.536054i	0.0342265	−	0.0429187i
$157$	15.8236	−	7.62023i	1.26286	−	0.608160i	0.321929	−	0.946764i	$-0.395669\pi$
$157$	15.8236	−	7.62023i	1.26286	−	0.608160i	0.940929	+	0.338604i	$0.109955\pi$
$158$	3.60433	+	15.7916i	0.286745	+	1.25631i
$159$	1.22585	+	1.53716i	0.0972161	+	0.121905i
$160$	−0.823104	−	3.60625i	−0.0650721	−	0.285099i
$161$	−3.43135	−	1.65245i	−0.270428	−	0.130231i
$162$	2.18028	−	2.73399i	0.171299	−	0.214802i
$163$	12.1185	+	5.83598i	0.949197	+	0.457109i	0.843404	−	0.537279i	$-0.180548\pi$
$163$	12.1185	+	5.83598i	0.949197	+	0.457109i	0.105792	+	0.994388i	$0.466262\pi$
$164$	1.48075	+	1.85681i	0.115627	+	0.144992i
$165$	4.85372			0.377862
$166$	0.960606			0.0745575
$167$	−2.58444	−	3.24079i	−0.199990	−	0.250780i	0.671716	−	0.740809i	$-0.265558\pi$
$167$	−2.58444	−	3.24079i	−0.199990	−	0.250780i	−0.871706	+	0.490029i	$0.836986\pi$
$168$	8.37045	−	4.03100i	0.645795	−	0.310998i
$169$	1.19798	−	5.24870i	0.0921525	−	0.403747i
$170$	−0.803652	−	3.52103i	−0.0616373	−	0.270051i
$171$	8.14375			0.622768
$172$	0.763031	+	1.63355i	0.0581806	+	0.124557i
$173$	−8.29464			−0.630629			−0.315315	−	0.948987i	$-0.602110\pi$
$173$	−8.29464			−0.630629			−0.315315	+	0.948987i	$0.602110\pi$
$174$	0.646710	+	2.83342i	0.0490269	+	0.214801i
$175$	−0.645019	+	2.82601i	−0.0487589	+	0.213626i
$176$	−9.04338	+	4.35506i	−0.681671	+	0.328275i
$177$	5.33023	+	6.68389i	0.400644	+	0.502392i
$178$	5.01329			0.375762
$179$	16.0853			1.20227			0.601134	−	0.799148i	$-0.294716\pi$
$179$	16.0853			1.20227			0.601134	+	0.799148i	$0.294716\pi$
$180$	0.896305	+	1.12393i	0.0668066	+	0.0837728i
$181$	−5.22065	−	2.51413i	−0.388048	−	0.186874i	0.229680	−	0.973266i	$-0.426232\pi$
$181$	−5.22065	−	2.51413i	−0.388048	−	0.186874i	−0.617727	+	0.786392i	$0.711946\pi$
$182$	10.2558	−	12.8604i	0.760213	−	0.953278i
$183$	1.36577	+	0.657719i	0.100960	+	0.0486200i
$184$	0.557994	+	2.44473i	0.0411359	+	0.180228i
$185$	−9.62107	−	12.0644i	−0.707355	−	0.886996i
$186$	−0.818669	−	3.58682i	−0.0600277	−	0.262999i
$187$	−2.02118	+	0.973350i	−0.147804	+	0.0711784i
$188$	1.41240	−	1.77110i	0.103010	−	0.129171i
$189$	−11.5400	+	14.4708i	−0.839414	+	1.05259i
$190$	−2.99731	+	13.1321i	−0.217448	+	0.952701i
$191$	18.5602	−	8.93811i	1.34297	−	0.646739i	0.382196	−	0.924081i	$-0.375168\pi$
$191$	18.5602	−	8.93811i	1.34297	−	0.646739i	0.960771	+	0.277342i	$0.0894535\pi$
$192$	−5.38820	−	2.59482i	−0.388860	−	0.187265i
$193$	−4.19953	+	18.3994i	−0.302289	+	1.32441i	0.564373	+	0.825520i	$0.309118\pi$
$193$	−4.19953	+	18.3994i	−0.302289	+	1.32441i	−0.866662	+	0.498895i	$0.833739\pi$
$194$	−2.03999	+	8.93777i	−0.146463	+	0.641695i
$195$	5.37974	+	2.59075i	0.385251	+	0.185527i
$196$	−2.13435	+	1.02785i	−0.152453	+	0.0734176i
$197$	5.13531	−	22.4993i	0.365875	−	1.60301i	−0.372110	−	0.928189i	$-0.621366\pi$
$197$	5.13531	−	22.4993i	0.365875	−	1.60301i	0.737986	−	0.674817i	$-0.235777\pi$
$198$	4.60651	−	5.77638i	0.327370	−	0.410509i
$199$	−9.22401	+	11.5665i	−0.653873	+	0.819931i	−0.992661	−	0.120932i	$-0.961412\pi$
$199$	−9.22401	+	11.5665i	−0.653873	+	0.819931i	0.338788	+	0.940863i	$0.389983\pi$
$200$	1.71955	−	0.828093i	0.121591	−	0.0585550i
$201$	−0.810017	−	3.54892i	−0.0571342	−	0.250321i
$202$	2.90497	+	3.64271i	0.204393	+	0.256301i
$203$	1.87516	+	8.21562i	0.131611	+	0.576624i
$204$	0.223837	+	0.107794i	0.0156717	+	0.00754712i
$205$	−12.8955	+	16.1705i	−0.900663	+	1.12940i
$206$	9.10136	+	4.38298i	0.634122	+	0.305377i
$207$	−1.31208	−	1.64530i	−0.0911960	−	0.114356i
$208$	−12.3480			−0.856182
$209$	8.36681			0.578744
$210$	−8.04041	−	10.0824i	−0.554841	−	0.695748i
$211$	−9.06115	+	4.36362i	−0.623795	+	0.300404i	−0.718953	−	0.695058i	$-0.755379\pi$
$211$	−9.06115	+	4.36362i	−0.623795	+	0.300404i	0.0951583	+	0.995462i	$0.469664\pi$
$212$	−0.133127	+	0.583265i	−0.00914317	+	0.0400588i
$213$	0.625076	+	2.73864i	0.0428295	+	0.187648i
$214$	16.6633			1.13908
$215$	−12.3909	+	9.64408i	−0.845050	+	0.657721i
$216$	12.1866			0.829192
$217$	−2.37376	−	10.4001i	−0.161142	−	0.706008i
$218$	−0.270217	+	1.18390i	−0.0183014	+	0.0801837i
$219$	−3.57935	+	1.72372i	−0.241870	+	0.116478i
$220$	0.920854	+	1.15471i	0.0620840	+	0.0778508i
$221$	−2.75977			−0.185642
$222$	8.78289			0.589469
$223$	−5.73549	−	7.19208i	−0.384077	−	0.481617i	0.551784	−	0.833987i	$-0.313947\pi$
$223$	−5.73549	−	7.19208i	−0.384077	−	0.481617i	−0.935861	+	0.352370i	$0.885376\pi$
$224$	5.50004	+	2.64868i	0.367487	+	0.176972i
$225$	−0.998638	+	1.25225i	−0.0665759	+	0.0834835i
$226$	17.0043	+	8.18883i	1.13111	+	0.544713i
$227$	4.56515	+	20.0012i	0.303000	+	1.32753i	0.865574	+	0.500781i	$0.166954\pi$
$227$	4.56515	+	20.0012i	0.303000	+	1.32753i	−0.562574	+	0.826747i	$0.690189\pi$
$228$	−0.577718	−	0.724436i	−0.0382603	−	0.0479769i
$229$	3.17424	+	13.9073i	0.209760	+	0.919018i	0.964726	+	0.263255i	$0.0847960\pi$
$229$	3.17424	+	13.9073i	0.209760	+	0.919018i	−0.754966	+	0.655763i	$0.772347\pi$
$230$	3.13601	−	1.51022i	0.206783	−	0.0995813i
$231$	−4.99433	+	6.26269i	−0.328602	+	0.412054i
$232$	3.45940	−	4.33796i	0.227121	−	0.284801i
$233$	−6.31838	+	27.6826i	−0.413931	+	1.81355i	0.151145	+	0.988512i	$0.451704\pi$
$233$	−6.31838	+	27.6826i	−0.413931	+	1.81355i	−0.565076	+	0.825039i	$0.691153\pi$
$234$	8.18896	−	3.94360i	0.535329	−	0.257801i
$235$	17.7744	+	8.55972i	1.15948	+	0.558375i
$236$	−0.578860	+	2.53615i	−0.0376806	+	0.165089i
$237$	2.15927	−	9.46038i	0.140260	−	0.614517i
$238$	5.37006	+	2.58609i	0.348089	+	0.167631i
$239$	17.7045	−	8.52605i	1.14521	−	0.551505i	0.237619	−	0.971358i	$-0.423633\pi$
$239$	17.7045	−	8.52605i	1.14521	−	0.551505i	0.907592	+	0.419854i	$0.137919\pi$
$240$	−2.15415	+	9.43794i	−0.139050	+	0.609216i
$241$	6.75460	−	8.47001i	0.435102	−	0.545601i	−0.515143	−	0.857104i	$-0.672261\pi$
$241$	6.75460	−	8.47001i	0.435102	−	0.545601i	0.950245	+	0.311503i	$0.100833\pi$
$242$	−5.61179	+	7.03696i	−0.360739	+	0.452353i
$243$	−14.5472	+	7.00557i	−0.933204	+	0.449407i
$244$	0.102642	+	0.449703i	0.00657097	+	0.0287893i
$245$	−12.8630	−	16.1296i	−0.821784	−	1.03049i
$246$	−2.61953	−	11.4769i	−0.167015	−	0.731742i
$247$	9.27355	+	4.46591i	0.590062	+	0.284159i
$248$	−4.37925	+	5.49141i	−0.278083	+	0.348705i
$249$	−0.518486	−	0.249690i	−0.0328577	−	0.0158234i
$250$	9.60716	+	12.0470i	0.607610	+	0.761919i
$251$	−20.3622			−1.28525			−0.642625	−	0.766181i	$-0.722155\pi$
$251$	−20.3622			−1.28525			−0.642625	+	0.766181i	$0.722155\pi$
$252$	−2.37246			−0.149451
$253$	−1.34802	−	1.69036i	−0.0847493	−	0.106272i
$254$	13.2985	−	6.40424i	0.834425	−	0.401838i
$255$	−0.481449	+	2.10937i	−0.0301495	+	0.132094i
$256$	−1.44189	−	6.31735i	−0.0901184	−	0.394834i
$257$	−24.0322			−1.49909			−0.749544	−	0.661954i	$-0.769727\pi$
$257$	−24.0322			−1.49909			−0.749544	+	0.661954i	$0.769727\pi$
$258$	0.105600	−	8.93631i	0.00657439	−	0.556350i
$259$	25.4663			1.58240
$260$	0.404305	+	1.77138i	0.0250739	+	0.109856i
$261$	−1.03613	+	4.53960i	−0.0641351	+	0.280994i
$262$	9.57374	−	4.61047i	0.591468	−	0.284836i
$263$	1.82621	+	2.29000i	0.112609	+	0.141207i	0.834941	−	0.550339i	$-0.185501\pi$
$263$	1.82621	+	2.29000i	0.112609	+	0.141207i	−0.722333	+	0.691546i	$0.756930\pi$
$264$	5.27414			0.324601
$265$	−5.21015			−0.320057
$266$	−13.8600	−	17.3799i	−0.849810	−	1.06563i
$267$	−2.70592	−	1.30310i	−0.165600	−	0.0797486i
$268$	0.690620	−	0.866010i	0.0421863	−	0.0529000i
$269$	5.95548	+	2.86801i	0.363112	+	0.174865i	0.606539	−	0.795054i	$-0.292557\pi$
$269$	5.95548	+	2.86801i	0.363112	+	0.174865i	−0.243427	+	0.969919i	$0.578272\pi$
$270$	−3.76411	−	16.4916i	−0.229076	−	1.00365i
$271$	0.247881	+	0.310832i	0.0150577	+	0.0188817i	0.789303	−	0.614003i	$-0.210442\pi$
$271$	0.247881	+	0.310832i	0.0150577	+	0.0188817i	−0.774246	+	0.632885i	$0.781870\pi$
$272$	−0.995626	−	4.36212i	−0.0603687	−	0.264493i
$273$	−8.87838	+	4.27560i	−0.537344	+	0.258771i
$274$	−4.23836	+	5.31473i	−0.256049	+	0.321075i
$275$	−1.02599	+	1.28655i	−0.0618696	+	0.0775820i
$276$	−0.0532801	+	0.233435i	−0.00320708	+	0.0140512i
$277$	18.7604	−	9.03451i	1.12720	−	0.542831i	0.225091	−	0.974338i	$-0.427732\pi$
$277$	18.7604	−	9.03451i	1.12720	−	0.542831i	0.902110	+	0.431507i	$0.142018\pi$
$278$	27.8764	+	13.4246i	1.67192	+	0.805153i
$279$	1.31164	−	5.74667i	0.0785258	−	0.344044i
$280$	−5.47839	+	24.0024i	−0.327396	+	1.43442i
$281$	4.47683	+	2.15593i	0.267066	+	0.128612i	0.562625	−	0.826712i	$-0.309792\pi$
$281$	4.47683	+	2.15593i	0.267066	+	0.128612i	−0.295559	+	0.955324i	$0.595506\pi$
$282$	−10.1167	+	4.87195i	−0.602441	+	0.290120i
$283$	0.778594	−	3.41124i	0.0462826	−	0.202777i	−0.946500	−	0.322703i	$-0.895408\pi$
$283$	0.778594	−	3.41124i	0.0462826	−	0.202777i	0.992783	+	0.119926i	$0.0382656\pi$
$284$	−0.532939	+	0.668285i	−0.0316241	+	0.0396554i
$285$	5.03121	−	6.30894i	0.298023	−	0.373709i
$286$	8.41325	−	4.05161i	0.497486	−	0.239577i
$287$	−7.59544	−	33.2778i	−0.448345	−	1.96433i
$288$	2.10311	+	2.63722i	0.123927	+	0.155400i
$289$	−0.222521	−	0.974928i	−0.0130895	−	0.0573487i
$290$	−6.93891	−	3.34160i	−0.407467	−	0.196226i
$291$	3.42427	−	4.29390i	0.200734	−	0.251713i
$292$	−1.08916	−	0.524510i	−0.0637381	−	0.0306946i
$293$	6.88174	+	8.62943i	0.402036	+	0.504137i	0.941100	−	0.338128i	$-0.109794\pi$
$293$	6.88174	+	8.62943i	0.402036	+	0.504137i	−0.539065	+	0.842264i	$0.681222\pi$
$294$	11.7423			0.684827
$295$	−22.6547			−1.31901
$296$	−10.4544	−	13.1094i	−0.607651	−	0.761970i
$297$	−9.46673	+	4.55894i	−0.549315	+	0.264536i
$298$	5.79430	−	25.3865i	0.335655	−	1.47060i
$299$	−0.591854	−	2.59308i	−0.0342278	−	0.149962i
$300$	0.182239			0.0105216
$301$	0.306192	−	25.9112i	0.0176486	−	1.49350i
$302$	−14.0357			−0.807661
$303$	−0.621105	−	2.72124i	−0.0356816	−	0.156331i
$304$	−3.71330	+	16.2690i	−0.212972	+	0.933093i
$305$	−3.61926	+	1.74294i	−0.207238	+	0.0998006i
$306$	2.05341	+	2.57490i	0.117386	+	0.147197i
$307$	−20.6885			−1.18076			−0.590378	−	0.807127i	$-0.701021\pi$
$307$	−20.6885			−1.18076			−0.590378	+	0.807127i	$0.701021\pi$
$308$	−2.43744			−0.138886
$309$	−3.77319	−	4.73143i	−0.214649	−	0.269161i
$310$	8.78395	+	4.23013i	0.498895	+	0.240255i
$311$	9.76283	−	12.2422i	0.553599	−	0.694192i	−0.423761	−	0.905774i	$-0.639290\pi$
$311$	9.76283	−	12.2422i	0.553599	−	0.694192i	0.977360	+	0.211582i	$0.0678617\pi$
$312$	5.84572	+	2.81515i	0.330949	+	0.159376i
$313$	−6.83651	−	29.9527i	−0.386422	−	1.69303i	−0.676843	−	0.736127i	$-0.736653\pi$
$313$	−6.83651	−	29.9527i	−0.386422	−	1.69303i	0.290421	−	0.956899i	$-0.406205\pi$
$314$	−16.5162	−	20.7106i	−0.932062	−	1.16877i
$315$	−4.59755	−	20.1432i	−0.259042	−	1.13494i
$316$	2.66031	−	1.28114i	0.149654	−	0.0720696i
$317$	−2.47315	+	3.10123i	−0.138906	+	0.174183i	−0.846419	−	0.532518i	$-0.821246\pi$
$317$	−2.47315	+	3.10123i	−0.138906	+	0.174183i	0.707513	+	0.706701i	$0.249817\pi$
$318$	1.84894	−	2.31850i	0.103683	−	0.130015i
$319$	−1.06451	+	4.66394i	−0.0596013	+	0.261130i
$320$	14.2786	−	6.87622i	0.798200	−	0.384393i
$321$	−8.99401	−	4.33129i	−0.501997	−	0.241749i
$322$	−1.27824	+	5.60032i	−0.0712334	+	0.312094i
$323$	−0.829917	+	3.63611i	−0.0461778	+	0.202318i
$324$	−0.574330	−	0.276583i	−0.0319072	−	0.0153657i
$325$	−1.82390	+	0.878343i	−0.101172	+	0.0487217i
$326$	4.51437	−	19.7787i	0.250028	−	1.09544i
$327$	0.453579	−	0.568771i	0.0250830	−	0.0314531i
$328$	−14.0125	+	17.5711i	−0.773711	+	0.970202i
$329$	−29.3338	+	14.1264i	−1.61723	+	0.778815i
$330$	−1.62904	−	7.13729i	−0.0896757	−	0.392895i
$331$	−12.8961	−	16.1712i	−0.708832	−	0.888848i	0.288816	−	0.957385i	$-0.406738\pi$
$331$	−12.8961	−	16.1712i	−0.708832	−	0.888848i	−0.997649	+	0.0685368i	$0.978167\pi$
$332$	−0.0389659	−	0.170721i	−0.00213853	−	0.00936952i
$333$	12.6781	+	6.10544i	0.694754	+	0.334576i
$334$	−3.89810	+	4.88807i	−0.213295	+	0.267463i
$335$	8.69113	+	4.18543i	0.474847	+	0.228674i
$336$	−9.96108	−	12.4908i	−0.543421	−	0.681429i
$337$	−29.7811			−1.62228			−0.811140	−	0.584852i	$-0.801153\pi$
$337$	−29.7811			−1.62228			−0.811140	+	0.584852i	$0.801153\pi$
$338$	−8.12018			−0.441680
$339$	−7.04953	−	8.83983i	−0.382878	−	0.480113i
$340$	−0.593165	+	0.285653i	−0.0321689	+	0.0154917i
$341$	1.34757	−	5.90407i	0.0729748	−	0.319723i
$342$	−2.73326	−	11.9752i	−0.147798	−	0.647545i
$343$	6.38554			0.344787
$344$	−13.4641	+	10.4794i	−0.725937	+	0.565012i
$345$	−2.08521			−0.112264
$346$	2.78390	+	12.1971i	0.149664	+	0.655719i
$347$	−4.08271	+	17.8875i	−0.219171	+	0.960253i	0.738921	+	0.673792i	$0.235336\pi$
$347$	−4.08271	+	17.8875i	−0.219171	+	0.960253i	−0.958092	+	0.286460i	$0.907521\pi$
$348$	0.477328	−	0.229869i	0.0255875	−	0.0123223i
$349$	7.72301	+	9.68435i	0.413403	+	0.518391i	0.944318	−	0.329034i	$-0.106723\pi$
$349$	7.72301	+	9.68435i	0.413403	+	0.518391i	−0.530915	+	0.847425i	$0.678152\pi$
$350$	4.37208			0.233697
$351$	−12.9261			−0.689943
$352$	2.16072	+	2.70945i	0.115167	+	0.144414i
$353$	−22.2653	−	10.7224i	−1.18506	−	0.570697i	−0.265681	−	0.964061i	$-0.585597\pi$
$353$	−22.2653	−	10.7224i	−1.18506	−	0.570697i	−0.919383	+	0.393364i	$0.871311\pi$
$354$	8.03955	−	10.0813i	0.427297	−	0.535814i
$355$	−6.70679	−	3.22982i	−0.355960	−	0.171421i
$356$	−0.203358	−	0.890972i	−0.0107780	−	0.0472214i
$357$	−2.22629	−	2.79167i	−0.117828	−	0.147751i
$358$	−5.39865	−	23.6530i	−0.285327	−	1.25010i
$359$	−12.8409	+	6.18388i	−0.677719	+	0.326372i	−0.740886	−	0.671631i	$-0.765594\pi$
$359$	−12.8409	+	6.18388i	−0.677719	+	0.326372i	0.0631669	+	0.998003i	$0.479880\pi$
$360$	−8.48181	+	10.6359i	−0.447031	+	0.560559i
$361$	−3.17355	+	3.97950i	−0.167029	+	0.209447i
$362$	−1.94478	+	8.52066i	−0.102216	+	0.447836i
$363$	4.85807	−	2.33952i	0.254983	−	0.122793i
$364$	−2.70160	−	1.30102i	−0.141602	−	0.0681920i
$365$	2.34265	−	10.2638i	0.122620	−	0.537234i
$366$	0.508773	−	2.22908i	0.0265940	−	0.116516i
$367$	−5.31713	−	2.56059i	−0.277552	−	0.133662i	0.289930	−	0.957048i	$-0.406368\pi$
$367$	−5.31713	−	2.56059i	−0.277552	−	0.133662i	−0.567482	+	0.823386i	$0.692082\pi$
$368$	3.88514	−	1.87098i	0.202527	−	0.0975318i
$369$	4.19691	−	18.3879i	0.218483	−	0.957235i
$370$	−14.5114	+	18.1967i	−0.754412	+	0.946003i
$371$	5.36108	−	6.72258i	0.278333	−	0.349019i
$372$	−0.604249	+	0.290991i	−0.0313288	+	0.0150872i
$373$	−5.51123	−	24.1463i	−0.285361	−	1.25025i	−0.890815	−	0.454367i	$-0.849866\pi$
$373$	−5.51123	−	24.1463i	−0.285361	−	1.25025i	0.605454	−	0.795880i	$-0.292992\pi$
$374$	2.10965	+	2.64542i	0.109088	+	0.136792i
$375$	−2.05409	−	8.99954i	−0.106073	−	0.464734i
$376$	19.3140	+	9.30114i	0.996044	+	0.479670i
$377$	−3.66933	+	4.60119i	−0.188980	+	0.236973i
$378$	25.1521	+	12.1126i	1.29368	+	0.623005i
$379$	16.9007	+	21.1928i	0.868132	+	1.08860i	0.995311	+	0.0967232i	$0.0308362\pi$
$379$	16.9007	+	21.1928i	0.868132	+	1.08860i	−0.127179	+	0.991880i	$0.540592\pi$
$380$	2.45544			0.125961
$381$	−8.84253			−0.453017
$382$	−19.3726	−	24.2925i	−0.991188	−	1.24291i
$383$	4.21177	−	2.02828i	0.215211	−	0.103640i	−0.323172	−	0.946340i	$-0.604749\pi$
$383$	4.21177	−	2.02828i	0.215211	−	0.103640i	0.538384	+	0.842700i	$0.319035\pi$
$384$	−2.62841	+	11.5158i	−0.134131	+	0.587665i
$385$	−4.72347	−	20.6949i	−0.240730	−	1.05471i
$386$	28.4653			1.44885
$387$	6.36453	−	12.8261i	0.323527	−	0.651989i
$388$	1.67119			0.0848417
$389$	−4.85095	−	21.2534i	−0.245953	−	1.07759i	−0.935494	−	0.353343i	$-0.885045\pi$
$389$	−4.85095	−	21.2534i	−0.245953	−	1.07759i	0.689541	−	0.724247i	$-0.257812\pi$
$390$	2.00405	−	8.78032i	0.101479	−	0.444609i
$391$	0.868322	−	0.418162i	0.0439130	−	0.0211474i
$392$	−13.9771	−	17.5267i	−0.705951	−	0.885234i
$393$	−6.36582			−0.321113
$394$	−34.8082			−1.75361
$395$	16.0328	+	20.1044i	0.806695	+	1.01156i
$396$	−1.21345	−	0.584365i	−0.0609780	−	0.0293655i
$397$	−21.9031	+	27.4656i	−1.09929	+	1.37846i	−0.180560	+	0.983564i	$0.557791\pi$
$397$	−21.9031	+	27.4656i	−1.09929	+	1.37846i	−0.918726	+	0.394896i	$0.870781\pi$
$398$	20.1042	+	9.68166i	1.00773	+	0.485298i
$399$	2.96337	+	12.9834i	0.148354	+	0.649983i
$400$	−2.04632	−	2.56600i	−0.102316	−	0.128300i
$401$	−0.0627617	−	0.274977i	−0.00313417	−	0.0137317i	0.973337	−	0.229381i	$-0.0736703\pi$
$401$	−0.0627617	−	0.274977i	−0.00313417	−	0.0137317i	−0.976471	+	0.215650i	$0.930813\pi$
$402$	−4.94674	+	2.38222i	−0.246721	+	0.118815i
$403$	4.64499	−	5.82464i	0.231384	−	0.290146i
$404$	0.529554	−	0.664039i	0.0263463	−	0.0330372i
$405$	1.23532	−	5.41228i	0.0613835	−	0.268939i
$406$	11.4515	−	5.51477i	0.568330	−	0.273693i
$407$	13.0253	+	6.27267i	0.645642	+	0.310925i
$408$	−0.523150	+	2.29207i	−0.0258998	+	0.113474i
$409$	0.00731392	−	0.0320444i	0.000361650	−	0.00158449i	−0.974747	−	0.223313i	$-0.928313\pi$
$409$	0.00731392	−	0.0320444i	0.000361650	−	0.00158449i	0.975108	+	0.221729i	$0.0711699\pi$
$410$	28.1064	+	13.5353i	1.38808	+	0.668463i
$411$	3.66911	−	1.76695i	0.180984	−	0.0871571i
$412$	0.409766	−	1.79530i	0.0201877	−	0.0884482i
$413$	23.3110	−	29.2311i	1.14706	−	1.43837i
$414$	−1.97901	+	2.48160i	−0.0972628	+	0.121964i
$415$	1.37398	−	0.661673i	0.0674460	−	0.0324803i
$416$	0.948672	+	4.15640i	0.0465125	+	0.203784i
$417$	−11.5568	−	14.4918i	−0.565941	−	0.709667i
$418$	−2.80813	−	12.3032i	−0.137350	−	0.601769i
$419$	23.6068	+	11.3685i	1.15327	+	0.555385i	0.910014	−	0.414577i	$-0.136070\pi$
$419$	23.6068	+	11.3685i	1.15327	+	0.555385i	0.243255	+	0.969962i	$0.421785\pi$
$420$	−1.46571	+	1.83794i	−0.0715191	+	0.0896821i
$421$	−23.1907	−	11.1680i	−1.13025	−	0.544297i	−0.227202	−	0.973848i	$-0.572958\pi$
$421$	−23.1907	−	11.1680i	−1.13025	−	0.544297i	−0.903043	+	0.429550i	$0.858672\pi$
$422$	9.45777	+	11.8597i	0.460397	+	0.577320i
$423$	−17.9902			−0.874713
$424$	−5.66144			−0.274944
$425$	−0.457349	−	0.573497i	−0.0221847	−	0.0278187i
$426$	3.81731	−	1.83832i	0.184949	−	0.0890670i
$427$	1.47521	−	6.46331i	0.0713903	−	0.312781i
$428$	−0.675928	−	2.96144i	−0.0326722	−	0.143146i
$429$	−5.59418			−0.270090
$430$	18.3401	+	14.9837i	0.884439	+	0.722577i
$431$	22.3799			1.07800			0.539002	−	0.842305i	$-0.318802\pi$
$431$	22.3799			1.07800			0.539002	+	0.842305i	$0.318802\pi$
$432$	−4.66327	−	20.4311i	−0.224362	−	0.982993i
$433$	−1.74826	+	7.65963i	−0.0840160	+	0.368098i	−0.999406	−	0.0344707i	$-0.989025\pi$
$433$	−1.74826	+	7.65963i	−0.0840160	+	0.368098i	0.915390	+	0.402569i	$0.131883\pi$
$434$	−14.4965	+	6.98114i	−0.695853	+	0.335105i
$435$	2.87669	+	3.60725i	0.137927	+	0.172955i
$436$	0.221366			0.0106015
$437$	−3.59447			−0.171947
$438$	3.73602	+	4.68483i	0.178514	+	0.223850i
$439$	21.1924	+	10.2057i	1.01146	+	0.487092i	0.864811	−	0.502097i	$-0.167438\pi$
$439$	21.1924	+	10.2057i	1.01146	+	0.487092i	0.146646	+	0.989189i	$0.453152\pi$
$440$	−8.71412	+	10.9272i	−0.415430	+	0.520932i
$441$	16.9500	+	8.16271i	0.807145	+	0.388701i
$442$	0.926252	+	4.05818i	0.0440573	+	0.193028i
$443$	16.1934	+	20.3058i	0.769370	+	0.964759i	0.999966	−	0.00829051i	$-0.00263898\pi$
$443$	16.1934	+	20.3058i	0.769370	+	0.964759i	−0.230596	+	0.973050i	$0.574068\pi$
$444$	−0.356268	−	1.56091i	−0.0169077	−	0.0740776i
$445$	7.17064	−	3.45320i	0.339921	−	0.163697i
$446$	−8.65081	+	10.8478i	−0.409628	+	0.513657i
$447$	−9.72616	+	12.1962i	−0.460032	+	0.576862i
$448$	−5.81996	+	25.4989i	−0.274967	+	1.20471i
$449$	−17.7078	+	8.52765i	−0.835685	+	0.402445i	−0.802244	−	0.596996i	$-0.796361\pi$
$449$	−17.7078	+	8.52765i	−0.835685	+	0.402445i	−0.0334409	+	0.999441i	$0.510647\pi$
$450$	2.17658	+	1.04819i	0.102605	+	0.0494119i
$451$	4.31187	−	18.8915i	0.203038	−	0.889567i
$452$	0.765575	−	3.35420i	0.0360096	−	0.157768i
$453$	7.57573	+	3.64828i	0.355939	+	0.171411i
$454$	27.8792	−	13.4259i	1.30843	−	0.630109i
$455$	5.81083	−	25.4589i	0.272416	−	1.19353i
$456$	5.46700	−	6.85540i	0.256016	−	0.321034i
$457$	−19.0404	+	23.8759i	−0.890672	+	1.11687i	0.101850	+	0.994800i	$0.467524\pi$
$457$	−19.0404	+	23.8759i	−0.890672	+	1.11687i	−0.992522	+	0.122067i	$0.961048\pi$
$458$	19.3850	−	9.33531i	0.905800	−	0.436210i
$459$	−1.04223	−	4.56633i	−0.0486473	−	0.213138i
$460$	−0.395609	−	0.496078i	−0.0184454	−	0.0231298i
$461$	1.00833	+	4.41780i	0.0469628	+	0.205757i	0.992966	−	0.118400i	$-0.0377764\pi$
$461$	1.00833	+	4.41780i	0.0469628	+	0.205757i	−0.946003	+	0.324157i	$0.894919\pi$
$462$	10.8854	+	5.24212i	0.506433	+	0.243885i
$463$	−7.88473	+	9.88713i	−0.366434	+	0.459494i	−0.930530	−	0.366215i	$-0.880653\pi$
$463$	−7.88473	+	9.88713i	−0.366434	+	0.459494i	0.564096	+	0.825709i	$0.309225\pi$
$464$	−8.59646	−	4.13984i	−0.399081	−	0.192187i
$465$	−3.64160	−	4.56642i	−0.168875	−	0.211763i
$466$	42.8273			1.98394
$467$	6.33657			0.293221			0.146611	−	0.989194i	$-0.453164\pi$
$467$	6.33657			0.293221			0.146611	+	0.989194i	$0.453164\pi$
$468$	−1.03304	−	1.29539i	−0.0477523	−	0.0598795i
$469$	−14.3433	+	6.90736i	−0.662311	+	0.318952i
$470$	6.62130	−	29.0098i	0.305418	−	1.33812i
$471$	3.53129	+	15.4716i	0.162713	+	0.712894i
$472$	−24.6170			−1.13309
$473$	6.53885	−	13.1774i	0.300657	−	0.605899i
$474$	−14.6360			−0.672253
$475$	0.608770	+	2.66719i	0.0279323	+	0.122379i
$476$	0.241774	−	1.05928i	0.0110817	−	0.0485520i
$477$	4.28065	−	2.06145i	0.195997	−	0.0943874i
$478$	−18.4795	−	23.1725i	−0.845232	−	1.05989i
$479$	−37.9474			−1.73386			−0.866931	−	0.498428i	$-0.833911\pi$
$479$	−37.9474			−1.73386			−0.866931	+	0.498428i	$0.833911\pi$
$480$	3.34235			0.152557
$481$	11.0888	+	13.9049i	0.505606	+	0.634010i
$482$	−14.7220	−	7.08973i	−0.670568	−	0.322929i
$483$	2.14562	−	2.69052i	0.0976290	−	0.122423i
$484$	1.47826	+	0.711891i	0.0671935	+	0.0323587i
$485$	3.23857	+	14.1891i	0.147056	+	0.644293i
$486$	15.1840	+	19.0401i	0.688759	+	0.863676i
$487$	2.43692	+	10.6769i	0.110428	+	0.483815i	0.999653	+	0.0263452i	$0.00838692\pi$
$487$	2.43692	+	10.6769i	0.110428	+	0.483815i	−0.889225	+	0.457469i	$0.848756\pi$
$488$	−3.93275	+	1.89391i	−0.178027	+	0.0857333i
$489$	−7.57771	+	9.50214i	−0.342676	+	0.429702i
$490$	−19.4011	+	24.3282i	−0.876454	+	1.09904i
$491$	0.904210	−	3.96160i	0.0408064	−	0.178785i	−0.950418	−	0.310976i	$-0.899344\pi$
$491$	0.904210	−	3.96160i	0.0408064	−	0.178785i	0.991224	+	0.132191i	$0.0422013\pi$
$492$	−1.93344	+	0.931097i	−0.0871663	+	0.0419771i
$493$	−1.92130	−	0.925247i	−0.0865308	−	0.0416710i
$494$	3.45456	−	15.1354i	0.155428	−	0.680975i
$495$	2.60999	−	11.4351i	0.117310	−	0.513970i
$496$	10.8822	+	5.24061i	0.488627	+	0.235310i
$497$	11.0685	−	5.33029i	0.496488	−	0.239096i
$498$	−0.193145	+	0.846225i	−0.00865505	+	0.0379202i
$499$	18.0987	−	22.6950i	0.810208	−	1.01597i	−0.189212	−	0.981936i	$-0.560593\pi$
$499$	18.0987	−	22.6950i	0.810208	−	1.01597i	0.999421	−	0.0340331i	$-0.0108352\pi$
$500$	1.75131	−	2.19608i	0.0783211	−	0.0982115i
$501$	3.37455	−	1.62510i	0.150764	−	0.0726040i
$502$	6.83410	+	29.9421i	0.305021	+	1.33638i
$503$	−11.4330	−	14.3365i	−0.509772	−	0.639234i	0.458630	−	0.888627i	$-0.348340\pi$
$503$	−11.4330	−	14.3365i	−0.509772	−	0.639234i	−0.968402	+	0.249393i	$0.919769\pi$
$504$	−4.99577	−	21.8879i	−0.222529	−	0.974965i
$505$	6.66418	+	3.20930i	0.296552	+	0.142812i
$506$	−2.03321	+	2.54957i	−0.0903872	+	0.113342i
$507$	4.38286	+	2.11067i	0.194650	+	0.0937383i
$508$	−1.67762	−	2.10366i	−0.0744321	−	0.0933349i
$509$	28.7829			1.27578			0.637889	−	0.770128i	$-0.279808\pi$
$509$	28.7829			1.27578			0.637889	+	0.770128i	$0.279808\pi$
$510$	3.26336			0.144504
$511$	10.8328	+	13.5838i	0.479213	+	0.600914i
$512$	14.7500	−	7.10324i	0.651866	−	0.313922i
$513$	−3.88713	+	17.0306i	−0.171621	+	0.751921i
$514$	8.06586	+	35.3388i	0.355770	+	1.55873i
$515$	16.0369			0.706672
$516$	−1.59246	+	0.343724i	−0.0701042	+	0.0151316i
$517$	−18.4829			−0.812879
$518$	−8.54719	−	37.4477i	−0.375542	−	1.64536i
$519$	1.66777	−	7.30698i	0.0732070	−	0.320741i
$520$	−15.4910	+	7.46010i	−0.679327	+	0.327147i
$521$	−13.2415	−	16.6043i	−0.580119	−	0.727446i	0.402014	−	0.915633i	$-0.368310\pi$
$521$	−13.2415	−	16.6043i	−0.580119	−	0.727446i	−0.982133	+	0.188187i	$0.939739\pi$
$522$	7.02313			0.307394
$523$	−13.2393			−0.578916			−0.289458	−	0.957191i	$-0.593475\pi$
$523$	−13.2393			−0.578916			−0.289458	+	0.957191i	$0.593475\pi$
$524$	−1.20773	−	1.51445i	−0.0527599	−	0.0661588i
$525$	−2.35982	−	1.13643i	−0.102991	−	0.0495979i
$526$	2.75446	−	3.45399i	0.120100	−	0.150601i
$527$	2.43217	+	1.17127i	0.105947	+	0.0510213i
$528$	−2.01818	−	8.84223i	−0.0878301	−	0.384809i
$529$	−13.7611	−	17.2559i	−0.598310	−	0.750258i
$530$	1.74867	+	7.66141i	0.0759572	+	0.332790i
$531$	18.6131	−	8.96359i	0.807739	−	0.388987i
$532$	−2.52657	+	3.16822i	−0.109541	+	0.137360i
$533$	14.8628	−	18.6374i	0.643779	−	0.807273i
$534$	−1.00800	+	4.41635i	−0.0436206	+	0.191114i
$535$	23.8340	−	11.4778i	1.03043	−	0.496230i
$536$	9.44393	+	4.54795i	0.407915	+	0.196442i
$537$	−3.23420	+	14.1700i	−0.139566	+	0.611479i
$538$	2.21852	−	9.71998i	0.0956473	−	0.419058i
$539$	17.4143	+	8.38629i	0.750087	+	0.361223i
$540$	−2.77824	+	1.33793i	−0.119556	+	0.0575753i
$541$	5.17225	−	22.6611i	0.222372	−	0.974277i	−0.733314	−	0.679890i	$-0.762028\pi$
$541$	5.17225	−	22.6611i	0.222372	−	0.974277i	0.955686	−	0.294387i	$-0.0951153\pi$
$542$	0.373877	−	0.468827i	0.0160594	−	0.0201378i
$543$	3.26447	−	4.09351i	0.140092	−	0.175669i
$544$	−1.39182	+	0.670264i	−0.0596737	+	0.0287373i
$545$	0.428981	+	1.87949i	0.0183755	+	0.0805084i
$546$	9.26701	+	11.6205i	0.396591	+	0.497310i
$547$	6.12195	+	26.8220i	0.261756	+	1.14683i	0.919346	+	0.393451i	$0.128719\pi$
$547$	6.12195	+	26.8220i	0.261756	+	1.14683i	−0.657590	+	0.753376i	$0.728424\pi$
$548$	1.11647	+	0.537663i	0.0476932	+	0.0229678i
$549$	2.28396	−	2.86400i	0.0974771	−	0.122232i
$550$	2.23620	+	1.07689i	0.0953517	+	0.0459190i
$551$	4.95881	+	6.21815i	0.211253	+	0.264902i
$552$	−2.26583			−0.0964400
$553$	−42.4376			−1.80463
$554$	−19.5815	−	24.5545i	−0.831940	−	1.04322i
$555$	12.5624	−	6.04973i	0.533244	−	0.256797i
$556$	1.25507	−	5.49881i	0.0532267	−	0.233201i
$557$	−1.80245	−	7.89705i	−0.0763723	−	0.334609i	0.922279	−	0.386524i	$-0.126324\pi$
$557$	−1.80245	−	7.89705i	−0.0763723	−	0.334609i	−0.998651	+	0.0519156i	$0.983467\pi$
$558$	−8.89057			−0.376368
$559$	14.2811	−	11.1153i	0.604028	−	0.470128i
$560$	42.3370			1.78906
$561$	−0.451061	−	1.97623i	−0.0190438	−	0.0834363i
$562$	1.66770	−	7.30667i	0.0703477	−	0.308213i
$563$	15.3938	−	7.41324i	0.648770	−	0.312431i	−0.0804013	−	0.996763i	$-0.525620\pi$
$563$	15.3938	−	7.41324i	0.648770	−	0.312431i	0.729171	+	0.684332i	$0.239906\pi$
$564$	1.27623	+	1.60034i	0.0537388	+	0.0673863i
$565$	29.9622			1.26052
$566$	−5.27748			−0.221829
$567$	5.71229	+	7.16298i	0.239893	+	0.300817i
$568$	−7.28771	−	3.50958i	−0.305786	−	0.147259i
$569$	17.8207	−	22.3465i	0.747085	−	0.936814i	−0.252441	−	0.967612i	$-0.581233\pi$
$569$	17.8207	−	22.3465i	0.747085	−	0.936814i	0.999526	+	0.0307979i	$0.00980482\pi$
$570$	−10.9658	−	5.28083i	−0.459305	−	0.221190i
$571$	8.12125	+	35.5815i	0.339864	+	1.48904i	0.799356	+	0.600858i	$0.205174\pi$
$571$	8.12125	+	35.5815i	0.339864	+	1.48904i	−0.459492	+	0.888182i	$0.651969\pi$
$572$	−1.06133	−	1.33087i	−0.0443766	−	0.0556465i
$573$	4.14201	+	18.1473i	0.173035	+	0.758116i
$574$	−46.3850	+	22.3379i	−1.93607	+	0.932364i
$575$	0.440777	−	0.552717i	0.0183817	−	0.0230499i
$576$	−9.01064	+	11.2990i	−0.375443	+	0.470791i
$577$	−3.00745	+	13.1765i	−0.125202	+	0.548545i	0.872952	+	0.487806i	$0.162203\pi$
$577$	−3.00745	+	13.1765i	−0.125202	+	0.548545i	−0.998154	+	0.0607386i	$0.980654\pi$
$578$	−1.35893	+	0.654424i	−0.0565239	+	0.0272205i
$579$	−15.3641	−	7.39898i	−0.638512	−	0.307491i
$580$	−0.312407	+	1.36875i	−0.0129720	+	0.0568340i
$581$	−0.560033	+	2.45366i	−0.0232341	+	0.101795i
$582$	−7.46337	−	3.59417i	−0.309366	−	0.148983i
$583$	4.39789	−	2.11791i	0.182142	−	0.0877150i
$584$	2.54557	−	11.1529i	0.105336	−	0.461509i
$585$	8.99650	−	11.2813i	0.371959	−	0.466422i
$586$	10.3797	−	13.0157i	0.428781	−	0.537674i
$587$	16.9042	−	8.14063i	0.697710	−	0.336000i	−0.0511837	−	0.998689i	$-0.516299\pi$
$587$	16.9042	−	8.14063i	0.697710	−	0.336000i	0.748894	+	0.662690i	$0.230585\pi$
$588$	−0.476315	−	2.08687i	−0.0196429	−	0.0860612i
$589$	−6.27735	−	7.87155i	−0.258654	−	0.324342i
$590$	7.60354	+	33.3133i	0.313033	+	1.37149i
$591$	18.7877	+	9.04768i	0.772823	+	0.372172i
$592$	−17.9779	+	22.5435i	−0.738885	+	0.926533i
$593$	11.5948	+	5.58377i	0.476142	+	0.229298i	0.656533	−	0.754297i	$-0.272022\pi$
$593$	11.5948	+	5.58377i	0.476142	+	0.229298i	−0.180391	+	0.983595i	$0.557736\pi$
$594$	9.88111	+	12.3905i	0.405427	+	0.508389i
$595$	9.46225			0.387915
$596$	−4.74677			−0.194435
$597$	−8.33466	−	10.4513i	−0.341115	−	0.427745i
$598$	−3.61443	+	1.74062i	−0.147805	+	0.0711791i
$599$	−6.35881	+	27.8598i	−0.259814	+	1.13832i	0.661637	+	0.749825i	$0.269862\pi$
$599$	−6.35881	+	27.8598i	−0.259814	+	1.13832i	−0.921451	+	0.388495i	$0.872995\pi$
$600$	0.383747	+	1.68130i	0.0156664	+	0.0686390i
$601$	−42.4904			−1.73322			−0.866610	−	0.498985i	$-0.833706\pi$
$601$	−42.4904			−1.73322			−0.866610	+	0.498985i	$0.833706\pi$
$602$	−38.2046	+	8.24625i	−1.55710	+	0.336092i
$603$	−8.79662			−0.358226
$604$	0.569341	+	2.49444i	0.0231661	+	0.101497i
$605$	−3.17957	+	13.9306i	−0.129268	+	0.566359i
$606$	−3.79306	+	1.82664i	−0.154083	+	0.0742023i
$607$	−9.56209	−	11.9905i	−0.388113	−	0.486679i	0.548942	−	0.835861i	$-0.315031\pi$
$607$	−9.56209	−	11.9905i	−0.388113	−	0.486679i	−0.937055	+	0.349182i	$0.886459\pi$
$608$	5.76151			0.233660
$609$	−7.61441			−0.308551
$610$	3.77768	+	4.73706i	0.152954	+	0.191798i
$611$	−20.4860	−	9.86554i	−0.828775	−	0.399117i
$612$	0.374321	−	0.469384i	0.0151310	−	0.0189737i
$613$	0.508843	+	0.245046i	0.0205520	+	0.00989731i	0.444132	−	0.895962i	$-0.353512\pi$
$613$	0.508843	+	0.245046i	0.0205520	+	0.00989731i	−0.423580	+	0.905859i	$0.639227\pi$
$614$	6.94363	+	30.4220i	0.280222	+	1.22773i
$615$	−11.6522	−	14.6114i	−0.469861	−	0.589187i
$616$	−5.13260	−	22.4874i	−0.206798	−	0.906043i
$617$	−27.2060	+	13.1017i	−1.09527	+	0.527456i	−0.892169	−	0.451701i	$-0.850817\pi$
$617$	−27.2060	+	13.1017i	−1.09527	+	0.527456i	−0.203105	+	0.979157i	$0.565103\pi$
$618$	−5.69107	+	7.13638i	−0.228929	+	0.287067i
$619$	−0.835275	+	1.04740i	−0.0335725	+	0.0420986i	−0.798334	−	0.602214i	$-0.794285\pi$
$619$	−0.835275	+	1.04740i	−0.0335725	+	0.0420986i	0.764762	+	0.644313i	$0.222857\pi$
$620$	0.395476	−	1.73269i	0.0158827	−	0.0695866i
$621$	4.06701	−	1.95857i	0.163204	−	0.0785947i
$622$	−21.2786	−	10.2472i	−0.853193	−	0.410876i
$623$	−2.92275	+	12.8054i	−0.117097	+	0.513037i
$624$	2.48277	−	10.8777i	0.0993904	−	0.435458i
$625$	25.3439	+	12.2050i	1.01376	+	0.488199i
$626$	−41.7503	+	20.1059i	−1.66868	+	0.803592i
$627$	−1.68228	+	7.37056i	−0.0671839	+	0.294352i
$628$	−3.01078	+	3.77539i	−0.120143	+	0.150655i
$629$	−4.01802	+	5.03844i	−0.160209	+	0.200896i
$630$	−28.0770	+	13.5212i	−1.11861	+	0.538697i
$631$	5.03977	+	22.0807i	0.200630	+	0.879018i	0.970554	+	0.240883i	$0.0774369\pi$
$631$	5.03977	+	22.0807i	0.200630	+	0.879018i	−0.769924	+	0.638135i	$0.779706\pi$
$632$	17.4215	+	21.8458i	0.692989	+	0.868980i
$633$	−2.02215	−	8.85960i	−0.0803731	−	0.352137i
$634$	5.39035	+	2.59586i	0.214078	+	0.103095i
$635$	14.6100	−	18.3203i	0.579778	−	0.727019i
$636$	−0.487048	−	0.234550i	−0.0193127	−	0.00930051i
$637$	14.8253	+	18.5903i	0.587398	+	0.736574i
$638$	7.21550			0.285664
$639$	6.78820			0.268537
$640$	−19.5162	−	24.4725i	−0.771446	−	0.967362i
$641$	23.5138	−	11.3236i	0.928739	−	0.447257i	0.0925560	−	0.995707i	$-0.470496\pi$
$641$	23.5138	−	11.3236i	0.928739	−	0.447257i	0.836183	+	0.548450i	$0.184782\pi$
$642$	−3.35043	+	14.6792i	−0.132231	+	0.579341i
$643$	0.236392	+	1.03570i	0.00932241	+	0.0408441i	0.979375	−	0.202050i	$-0.0647604\pi$
$643$	0.236392	+	1.03570i	0.00932241	+	0.0408441i	−0.970053	+	0.242894i	$0.921903\pi$
$644$	1.04715			0.0412635
$645$	−6.00436	−	12.8546i	−0.236421	−	0.506148i
$646$	5.62536			0.221327
$647$	−0.626706	−	2.74578i	−0.0246384	−	0.107948i	0.961114	−	0.276154i	$-0.0890598\pi$
$647$	−0.626706	−	2.74578i	−0.0246384	−	0.107948i	−0.985752	+	0.168206i	$0.946203\pi$
$648$	1.34232	−	5.88108i	0.0527312	−	0.231031i
$649$	19.1229	−	9.20910i	0.750639	−	0.361489i
$650$	1.90373	+	2.38721i	0.0746705	+	0.0936339i
$651$	9.63907			0.377785
$652$	−3.69824			−0.144834
$653$	24.1061	+	30.2281i	0.943344	+	1.18292i	0.982982	+	0.183702i	$0.0588080\pi$
$653$	24.1061	+	30.2281i	0.943344	+	1.18292i	−0.0396382	+	0.999214i	$0.512621\pi$
$654$	−0.988598	−	0.476084i	−0.0386572	−	0.0186163i
$655$	10.5178	−	13.1889i	0.410966	−	0.515335i
$656$	34.8204	+	16.7686i	1.35951	+	0.654705i
$657$	2.13628	+	9.35964i	0.0833441	+	0.365154i
$658$	30.6178	+	38.3935i	1.19361	+	1.49673i
$659$	−8.94076	−	39.1720i	−0.348283	−	1.52593i	−0.781078	−	0.624434i	$-0.785330\pi$
$659$	−8.94076	−	39.1720i	−0.348283	−	1.52593i	0.432795	−	0.901492i	$-0.357527\pi$
$660$	−1.20237	+	0.579033i	−0.0468023	+	0.0225388i
$661$	19.2061	−	24.0836i	0.747029	−	0.936745i	−0.252495	−	0.967598i	$-0.581251\pi$
$661$	19.2061	−	24.0836i	0.747029	−	0.936745i	0.999524	+	0.0308534i	$0.00982251\pi$
$662$	−19.4511	+	24.3909i	−0.755987	+	0.947978i
$663$	0.554896	−	2.43116i	0.0215504	−	0.0944183i
$664$	1.49299	−	0.718985i	0.0579392	−	0.0279020i
$665$	−31.7957	−	15.3120i	−1.23298	−	0.593774i
$666$	4.72281	−	20.6920i	0.183005	−	0.801798i
$667$	0.457327	−	2.00368i	0.0177078	−	0.0775828i
$668$	1.02684	+	0.494499i	0.0397296	+	0.0191328i
$669$	7.48892	−	3.60648i	0.289538	−	0.139434i
$670$	3.23760	−	14.1849i	0.125079	−	0.548009i
$671$	2.34652	−	2.94244i	0.0905863	−	0.113592i
$672$	−3.43917	+	4.31258i	−0.132669	+	0.166361i
$673$	16.8562	−	8.11752i	0.649759	−	0.312907i	−0.0798147	−	0.996810i	$-0.525433\pi$
$673$	16.8562	−	8.11752i	0.649759	−	0.312907i	0.729574	+	0.683902i	$0.239719\pi$
$674$	9.99535	+	43.7925i	0.385006	+	1.68682i
$675$	−2.14211	−	2.68612i	−0.0824499	−	0.103389i
$676$	0.329386	+	1.44313i	0.0126687	+	0.0555052i
$677$	−12.4941	−	6.01684i	−0.480187	−	0.231246i	0.178100	−	0.984012i	$-0.443005\pi$
$677$	−12.4941	−	6.01684i	−0.480187	−	0.231246i	−0.658288	+	0.752766i	$0.728719\pi$
$678$	−10.6328	+	13.3331i	−0.408349	+	0.512053i
$679$	−21.6403	−	10.4214i	−0.830480	−	0.399938i
$680$	−3.88444	−	4.87093i	−0.148961	−	0.186792i
$681$	−18.5375			−0.710360
$682$	−9.13409			−0.349762
$683$	28.5085	+	35.7485i	1.09085	+	1.36788i	0.924221	+	0.381858i	$0.124716\pi$
$683$	28.5085	+	35.7485i	1.09085	+	1.36788i	0.166625	+	0.986020i	$0.446713\pi$
$684$	−2.01739	+	0.971522i	−0.0771367	+	0.0371471i
$685$	−2.40140	+	10.5212i	−0.0917527	+	0.401995i
$686$	−2.14316	−	9.38979i	−0.0818262	−	0.358504i
$687$	−12.8895			−0.491767
$688$	22.7212	+	18.5629i	0.866236	+	0.707706i
$689$	6.00498			0.228772
$690$	0.699854	+	3.06626i	0.0266430	+	0.116731i
$691$	−5.94921	+	26.0652i	−0.226319	+	0.991567i	0.726295	+	0.687383i	$0.241241\pi$
$691$	−5.94921	+	26.0652i	−0.226319	+	0.991567i	−0.952613	+	0.304184i	$0.901616\pi$
$692$	2.05476	−	0.989521i	0.0781104	−	0.0376160i
$693$	12.0689	+	15.1340i	0.458461	+	0.574892i
$694$	27.6735			1.05047
$695$	49.1193			1.86320
$696$	3.12586	+	3.91970i	0.118485	+	0.148576i
$697$	7.78231	+	3.74776i	0.294776	+	0.141957i
$698$	11.6486	−	14.6068i	0.440905	−	0.552877i
$699$	−23.1160	−	11.1321i	−0.874328	−	0.421054i
$700$	−0.177348	−	0.777014i	−0.00670314	−	0.0293684i
$701$	−24.0904	−	30.2084i	−0.909881	−	1.14095i	−0.989558	−	0.144134i	$-0.953960\pi$
$701$	−24.0904	−	30.2084i	−0.909881	−	1.14095i	0.0796772	−	0.996821i	$-0.474611\pi$
$702$	4.33834	+	19.0075i	0.163740	+	0.717392i
$703$	21.6549	−	10.4285i	0.816731	−	0.393317i
$704$	−9.25744	+	11.6085i	−0.348903	+	0.437510i
$705$	−11.1143	+	13.9369i	−0.418590	+	0.524896i
$706$	−8.29423	+	36.3394i	−0.312157	+	1.36765i
$707$	−10.9981	+	5.29643i	−0.413628	+	0.199193i
$708$	−2.11778	−	1.01987i	−0.0795910	−	0.0383290i
$709$	−6.03510	+	26.4415i	−0.226653	+	0.993031i	0.725695	+	0.688017i	$0.241518\pi$
$709$	−6.03510	+	26.4415i	−0.226653	+	0.993031i	−0.952348	+	0.305014i	$0.901339\pi$
$710$	−2.49840	+	10.9462i	−0.0937633	+	0.410804i
$711$	−21.1270	−	10.1742i	−0.792325	−	0.381564i
$712$	7.79174	−	3.75230i	0.292008	−	0.140623i
$713$	−0.578929	+	2.53645i	−0.0216811	+	0.0949910i
$714$	−3.35789	+	4.21067i	−0.125666	+	0.157580i
$715$	9.24291	−	11.5902i	0.345665	−	0.433450i
$716$	−3.98467	+	1.91892i	−0.148914	+	0.0717133i
$717$	3.95106	+	17.3107i	0.147555	+	0.646481i
$718$	13.4030	+	16.8069i	0.500196	+	0.627226i
$719$	3.62184	+	15.8683i	0.135072	+	0.591788i	0.996477	+	0.0838694i	$0.0267279\pi$
$719$	3.62184	+	15.8683i	0.135072	+	0.591788i	−0.861405	+	0.507919i	$0.830415\pi$
$720$	21.0769	+	10.1501i	0.785490	+	0.378272i
$721$	−16.5015	+	20.6922i	−0.614548	+	0.770619i
$722$	6.91690	+	3.33100i	0.257420	+	0.123967i
$723$	6.10335	+	7.65336i	0.226986	+	0.284631i
$724$	1.59320			0.0592107
$725$	−1.56424			−0.0580943
$726$	−5.07072	−	6.35848i	−0.188192	−	0.235985i
$727$	−19.2063	+	9.24927i	−0.712323	+	0.343036i	−0.754704	−	0.656065i	$-0.772220\pi$
$727$	−19.2063	+	9.24927i	−0.712323	+	0.343036i	0.0423818	+	0.999101i	$0.486505\pi$
$728$	6.31414	−	27.6641i	0.234018	−	1.02530i
$729$	−1.69874	−	7.44268i	−0.0629164	−	0.275655i
$730$	−15.8790			−0.587708
$731$	5.07814	+	4.14879i	0.187822	+	0.153449i
$732$	−0.416794			−0.0154051
$733$	−10.1135	−	44.3102i	−0.373551	−	1.63663i	−0.716720	−	0.697361i	$-0.754357\pi$
$733$	−10.1135	−	44.3102i	−0.373551	−	1.63663i	0.343169	−	0.939274i	$-0.388500\pi$
$734$	−1.98072	+	8.67812i	−0.0731099	+	0.320315i
$735$	16.7954	−	8.08822i	0.619507	−	0.298339i
$736$	−0.928268	−	1.16401i	−0.0342164	−	0.0429060i
$737$	−9.03756			−0.332903
$738$	−28.4476			−1.04717
$739$	15.3135	+	19.2025i	0.563315	+	0.706375i	0.979167	−	0.203058i	$-0.0650879\pi$
$739$	15.3135	+	19.2025i	0.563315	+	0.706375i	−0.415852	+	0.909432i	$0.636516\pi$
$740$	3.82260	+	1.84087i	0.140521	+	0.0676716i
$741$	−5.79874	+	7.27140i	−0.213022	+	0.267121i
$742$	−11.6847	−	5.62707i	−0.428960	−	0.206576i
$743$	4.68478	+	20.5253i	0.171868	+	0.753002i	0.985229	+	0.171243i	$0.0547783\pi$
$743$	4.68478	+	20.5253i	0.171868	+	0.753002i	−0.813361	+	0.581759i	$0.802365\pi$
$744$	−3.95702	−	4.96195i	−0.145071	−	0.181914i
$745$	−9.19869	−	40.3021i	−0.337014	−	1.47655i
$746$	−33.6569	+	16.2083i	−1.23226	+	0.593427i
$747$	−0.867060	+	1.08726i	−0.0317241	+	0.0397807i
$748$	0.384574	−	0.482240i	0.0140614	−	0.0176325i
$749$	−9.71470	+	42.5629i	−0.354968	+	1.55521i
$750$	−12.5442	+	6.04098i	−0.458050	+	0.220585i
$751$	14.5722	+	7.01758i	0.531746	+	0.256075i	0.680435	−	0.732809i	$-0.261791\pi$
$751$	14.5722	+	7.01758i	0.531746	+	0.256075i	−0.148689	+	0.988884i	$0.547505\pi$
$752$	8.20298	−	35.9396i	0.299132	−	1.31058i
$753$	4.09415	−	17.9376i	0.149199	−	0.653684i
$754$	7.99747	+	3.85138i	0.291251	+	0.140259i
$755$	−20.0756	+	9.66788i	−0.730624	+	0.351850i
$756$	1.13241	−	4.96141i	0.0411853	−	0.180445i
$757$	24.0847	−	30.2013i	0.875375	−	1.09769i	−0.119118	−	0.992880i	$-0.538007\pi$
$757$	24.0847	−	30.2013i	0.875375	−	1.09769i	0.994493	−	0.104805i	$-0.0334220\pi$
$758$	25.4913	−	31.9650i	0.925884	−	1.16102i
$759$	1.76013	−	0.847634i	0.0638887	−	0.0307672i
$760$	5.17051	+	22.6535i	0.187554	+	0.821728i
$761$	7.20218	+	9.03125i	0.261079	+	0.327383i	0.895043	−	0.445980i	$-0.147145\pi$
$761$	7.20218	+	9.03125i	0.261079	+	0.327383i	−0.633964	+	0.773363i	$0.718573\pi$
$762$	2.96779	+	13.0027i	0.107512	+	0.471040i
$763$	−2.86648	−	1.38042i	−0.103774	−	0.0499747i
$764$	−3.53148	+	4.42833i	−0.127764	+	0.160211i
$765$	4.71066	+	2.26853i	0.170314	+	0.0820190i
$766$	−4.39612	−	5.51257i	−0.158838	−	0.199177i
$767$	26.1108			0.942807
$768$	5.85505			0.211276
$769$	5.26317	+	6.59981i	0.189795	+	0.237995i	0.867620	−	0.497228i	$-0.165649\pi$
$769$	5.26317	+	6.59981i	0.189795	+	0.237995i	−0.677825	+	0.735223i	$0.737077\pi$
$770$	−28.8460	+	13.8915i	−1.03954	+	0.500616i
$771$	4.83207	−	21.1707i	0.174023	−	0.762443i
$772$	−1.15466	−	5.05891i	−0.0415573	−	0.182074i
$773$	−34.2082			−1.23038			−0.615192	−	0.788377i	$-0.710921\pi$
$773$	−34.2082			−1.23038			−0.615192	+	0.788377i	$0.710921\pi$
$774$	−20.9967	−	5.05410i	−0.754709	−	0.181666i
$775$	1.98017			0.0711296
$776$	3.51908	+	15.4181i	0.126328	+	0.553477i
$777$	−5.12042	+	22.4340i	−0.183694	+	0.804816i
$778$	−29.6245	+	14.2664i	−1.06209	+	0.511476i
$779$	−20.0859	−	25.1870i	−0.719653	−	0.902416i
$780$	−1.64175			−0.0587840
$781$	6.97413			0.249554
$782$	−0.906330	−	1.13650i	−0.0324103	−	0.0406412i
$783$	−8.99888	−	4.33363i	−0.321594	−	0.154871i
$784$	−24.0356	+	30.1397i	−0.858415	+	1.07642i
$785$	−37.8892	−	18.2465i	−1.35232	−	0.651245i
$786$	2.13654	+	9.36079i	0.0762078	+	0.333888i
$787$	−17.8762	−	22.4160i	−0.637217	−	0.799045i	0.353435	−	0.935459i	$-0.385014\pi$
$787$	−17.8762	−	22.4160i	−0.637217	−	0.799045i	−0.990652	+	0.136414i	$0.956442\pi$
$788$	1.41196	+	6.18618i	0.0502988	+	0.220374i
$789$	−2.38451	+	1.14832i	−0.0848909	+	0.0408813i
$790$	24.1821	−	30.3234i	0.860361	−	1.07886i
$791$	−30.8301	+	38.6597i	−1.09619	+	1.37458i
$792$	2.83606	−	12.4256i	0.100775	−	0.441524i
$793$	4.17139	−	2.00884i	0.148130	−	0.0713359i
$794$	47.7389	+	22.9898i	1.69419	+	0.815878i
$795$	1.04758	−	4.58977i	0.0371540	−	0.162782i
$796$	0.905141	−	3.96568i	0.0320819	−	0.140560i
$797$	−49.7701	−	23.9680i	−1.76295	−	0.848992i	−0.971243	−	0.238089i	$-0.923479\pi$
$797$	−49.7701	−	23.9680i	−1.76295	−	0.848992i	−0.791706	−	0.610903i	$-0.790807\pi$
$798$	18.0972	−	8.71515i	0.640634	−	0.308513i
$799$	1.83335	−	8.03244i	0.0648594	−	0.284167i
$800$	−0.706513	+	0.885939i	−0.0249790	+	0.0313227i
$801$	−4.52509	+	5.67428i	−0.159886	+	0.200491i
$802$	−0.383283	+	0.184579i	−0.0135342	+	0.00651772i
$803$	2.19479	+	9.61600i	0.0774524	+	0.339341i
$804$	0.624033	+	0.782512i	0.0220079	+	0.0275971i
$805$	2.02926	+	8.89075i	0.0715218	+	0.313358i
$806$	−10.1240	−	4.87545i	−0.356602	−	0.171731i
$807$	−3.72395	+	4.66969i	−0.131089	+	0.164381i
$808$	7.24141	+	3.48728i	0.254752	+	0.122682i
$809$	2.73442	+	3.42885i	0.0961371	+	0.120552i	0.827573	−	0.561358i	$-0.189721\pi$
$809$	2.73442	+	3.42885i	0.0961371	+	0.120552i	−0.731436	+	0.681910i	$0.761150\pi$
$810$	−8.37325			−0.294206
$811$	−46.8530			−1.64523			−0.822616	−	0.568598i	$-0.807486\pi$
$811$	−46.8530			−1.64523			−0.822616	+	0.568598i	$0.807486\pi$
$812$	−1.44461	−	1.81149i	−0.0506960	−	0.0635708i
$813$	−0.323662	+	0.155867i	−0.0113513	+	0.00546650i
$814$	4.85217	−	21.2587i	0.170068	−	0.745118i
$815$	−7.16675	−	31.3996i	−0.251040	−	1.09988i
$816$	4.04291			0.141530
$817$	−10.3503	−	22.1586i	−0.362110	−	0.775231i
$818$	−0.0495753			−0.00173336
$819$	5.29892	+	23.2161i	0.185159	+	0.811236i
$820$	1.26542	−	5.54417i	0.0441904	−	0.193611i
$821$	3.85825	−	1.85804i	0.134654	−	0.0648459i	−0.365344	−	0.930873i	$-0.619049\pi$
$821$	3.85825	−	1.85804i	0.134654	−	0.0648459i	0.499998	+	0.866027i	$0.333334\pi$
$822$	−3.82971	−	4.80230i	−0.133576	−	0.167500i
$823$	−53.9647			−1.88109			−0.940546	−	0.339666i	$-0.889686\pi$
$823$	−53.9647			−1.88109			−0.940546	+	0.339666i	$0.889686\pi$
$824$	17.4260			0.607064
$825$	−0.927068	−	1.16251i	−0.0322764	−	0.0404733i
$826$	−50.8074	−	24.4676i	−1.76782	−	0.851336i
$827$	−22.3291	+	27.9998i	−0.776459	+	0.973648i	−0.999999	−	0.00104611i	$-0.999667\pi$
$827$	−22.3291	+	27.9998i	−0.776459	+	0.973648i	0.223541	+	0.974695i	$0.428238\pi$
$828$	0.521310	+	0.251050i	0.0181168	+	0.00872458i
$829$	−6.67398	−	29.2406i	−0.231797	−	1.01557i	−0.948148	−	0.317828i	$-0.897046\pi$
$829$	−6.67398	−	29.2406i	−0.231797	−	1.01557i	0.716352	−	0.697740i	$-0.245811\pi$
$830$	−1.43412	−	1.79833i	−0.0497790	−	0.0624209i
$831$	4.18669	+	18.3431i	0.145235	+	0.636314i
$832$	−16.4569	+	7.92522i	−0.570540	+	0.274758i
$833$	−5.37192	+	6.73618i	−0.186126	+	0.233395i
$834$	−17.4311	+	21.8579i	−0.603590	+	0.756878i
$835$	−2.20861	+	9.67657i	−0.0764322	+	0.334872i
$836$	−2.07264	+	0.998131i	−0.0716838	+	0.0345211i
$837$	11.3917	+	5.48594i	0.393754	+	0.189622i
$838$	8.79397	−	38.5289i	0.303783	−	1.33096i
$839$	5.90639	−	25.8776i	0.203911	−	0.893394i	−0.764616	−	0.644486i	$-0.777071\pi$
$839$	5.90639	−	25.8776i	0.203911	−	0.893394i	0.968527	−	0.248908i	$-0.0800716\pi$
$840$	−20.0429	−	9.65214i	−0.691545	−	0.333030i
$841$	22.0310	−	10.6096i	0.759689	−	0.365847i
$842$	−8.63895	+	37.8497i	−0.297718	+	1.30439i
$843$	−2.79936	+	3.51029i	−0.0964151	+	0.120901i
$844$	1.72408	−	2.16193i	0.0593453	−	0.0744166i
$845$	−11.6145	+	5.59325i	−0.399551	+	0.192414i
$846$	6.03799	+	26.4542i	0.207590	+	0.909513i
$847$	−14.7028	−	18.4367i	−0.505193	−	0.633491i
$848$	2.16638	+	9.49155i	0.0743939	+	0.325941i
$849$	2.84851	+	1.37177i	0.0977607	+	0.0470791i
$850$	−0.689816	+	0.865002i	−0.0236605	+	0.0296693i
$851$	−5.59582	−	2.69481i	−0.191822	−	0.0923768i
$852$	−0.481555	−	0.603851i	−0.0164978	−	0.0206876i
$853$	38.4508			1.31653			0.658265	−	0.752786i	$-0.271291\pi$
$853$	38.4508			1.31653			0.658265	+	0.752786i	$0.271291\pi$
$854$	−9.99927			−0.342168
$855$	−12.1581	−	15.2457i	−0.415798	−	0.521394i
$856$	25.8984	−	12.4720i	0.885188	−	0.426284i
$857$	0.411465	−	1.80275i	0.0140554	−	0.0615807i	−0.967414	−	0.253200i	$-0.918517\pi$
$857$	0.411465	−	1.80275i	0.0140554	−	0.0615807i	0.981469	+	0.191620i	$0.0613740\pi$
$858$	1.87756	+	8.22612i	0.0640988	+	0.280835i
$859$	27.2475			0.929673			0.464836	−	0.885397i	$-0.346113\pi$
$859$	27.2475			0.929673			0.464836	+	0.885397i	$0.346113\pi$
$860$	1.91898	−	3.86724i	0.0654368	−	0.131872i
$861$	30.8426			1.05111
$862$	−7.51131	−	32.9092i	−0.255836	−	1.12089i
$863$	12.9107	−	56.5654i	0.439485	−	1.92551i	0.0661567	−	0.997809i	$-0.478926\pi$
$863$	12.9107	−	56.5654i	0.439485	−	1.92551i	0.373328	−	0.927699i	$-0.378217\pi$
$864$	−6.51894	+	3.13935i	−0.221779	+	0.106803i
$865$	12.3833	+	15.5282i	0.421046	+	0.527975i
$866$	11.8501			0.402682
$867$	0.903583			0.0306873
$868$	1.82873	+	2.29316i	0.0620713	+	0.0778349i
$869$	−21.7057	−	10.4529i	−0.736315	−	0.354590i
$870$	4.33889	−	5.44080i	0.147102	−	0.184460i
$871$	−10.0170	−	4.82393i	−0.339413	−	0.163453i
$872$	0.466138	+	2.04228i	0.0157854	+	0.0691604i
$873$	−8.27486	−	10.3763i	−0.280062	−	0.351186i
$874$	1.20640	+	5.28559i	0.0408072	+	0.178788i
$875$	−36.3725	+	17.5161i	−1.22961	+	0.592151i
$876$	0.681049	−	0.854008i	0.0230105	−	0.0288543i
$877$	15.8462	−	19.8706i	0.535090	−	0.670981i	−0.438647	−	0.898660i	$-0.644542\pi$
$877$	15.8462	−	19.8706i	0.535090	−	0.670981i	0.973736	+	0.227678i	$0.0731135\pi$
$878$	7.89454	−	34.5882i	0.266428	−	1.16730i
$879$	−8.98560	+	4.32724i	−0.303077	+	0.145954i
$880$	21.6542	+	10.4281i	0.729963	+	0.351532i
$881$	2.46058	−	10.7805i	0.0828992	−	0.363205i	−0.916415	−	0.400229i	$-0.868931\pi$
$881$	2.46058	−	10.7805i	0.0828992	−	0.363205i	0.999314	+	0.0370239i	$0.0117878\pi$
$882$	6.31420	−	27.6643i	0.212610	−	0.931505i
$883$	−25.7013	−	12.3771i	−0.864918	−	0.416522i	−0.0518247	−	0.998656i	$-0.516504\pi$
$883$	−25.7013	−	12.3771i	−0.864918	−	0.416522i	−0.813093	+	0.582134i	$0.802218\pi$
$884$	0.683655	−	0.329231i	0.0229938	−	0.0110732i
$885$	4.55510	−	19.9572i	0.153118	−	0.670854i
$886$	24.4243	−	30.6272i	0.820552	−	1.02894i
$887$	−0.285635	+	0.358175i	−0.00959069	+	0.0120263i	−0.786604	−	0.617458i	$-0.788162\pi$
$887$	−0.285635	+	0.358175i	−0.00959069	+	0.0120263i	0.777013	+	0.629485i	$0.216734\pi$
$888$	13.6505	−	6.57373i	0.458081	−	0.220600i
$889$	8.60524	+	37.7020i	0.288610	+	1.26448i
$890$	−7.48451	−	9.38528i	−0.250881	−	0.314595i
$891$	1.15735	+	5.07067i	0.0387726	+	0.169874i
$892$	2.27880	+	1.09741i	0.0762998	+	0.0367440i
$893$	−19.1588	+	24.0244i	−0.641125	+	0.803945i
$894$	21.1986	+	10.2087i	0.708988	+	0.341431i
$895$	−24.0142	−	30.1129i	−0.802707	−	1.00656i
$896$	51.6581			1.72578
$897$	2.40332			0.0802446
$898$	18.4830	+	23.1769i	0.616784	+	0.773423i
$899$	5.18654	−	2.49770i	0.172981	−	0.0833031i
$900$	0.0979951	−	0.429344i	0.00326650	−	0.0143115i
$901$	0.484184	+	2.12135i	0.0161305	+	0.0706723i
$902$	−29.2267			−0.973144
$903$	22.7643	+	5.47960i	0.757550	+	0.182350i
$904$	32.5574			1.08284
$905$	3.08743	+	13.5269i	0.102630	+	0.449649i
$906$	2.82210	−	12.3644i	0.0937578	−	0.410780i
$907$	8.12256	−	3.91162i	0.269705	−	0.129883i	−0.294144	−	0.955761i	$-0.595034\pi$
$907$	8.12256	−	3.91162i	0.269705	−	0.129883i	0.563849	+	0.825878i	$0.309320\pi$
$908$	−3.51696	−	4.41013i	−0.116715	−	0.146355i
$909$	−6.74507			−0.223720
$910$	−39.3870			−1.30567
$911$	14.2113	+	17.8205i	0.470843	+	0.590418i	0.959377	−	0.282126i	$-0.0910397\pi$
$911$	14.2113	+	17.8205i	0.470843	+	0.590418i	−0.488534	+	0.872545i	$0.662468\pi$
$912$	−13.5852	−	6.54231i	−0.449852	−	0.216637i
$913$	−0.890808	+	1.11704i	−0.0294815	+	0.0369686i
$914$	41.4994	+	19.9851i	1.37268	+	0.661048i
$915$	−0.807698	−	3.53875i	−0.0267017	−	0.116988i
$916$	−2.44542	−	3.06646i	−0.0807989	−	0.101319i
$917$	6.19498	+	27.1420i	0.204576	+	0.896308i
$918$	−6.36488	+	3.06516i	−0.210072	+	0.101165i
$919$	15.8478	−	19.8725i	0.522771	−	0.655535i	−0.448423	−	0.893821i	$-0.648014\pi$
$919$	15.8478	−	19.8725i	0.522771	−	0.655535i	0.971195	+	0.238287i	$0.0765858\pi$
$920$	3.74368	−	4.69443i	0.123426	−	0.154771i
$921$	4.15976	−	18.2251i	0.137069	−	0.600538i
$922$	6.15785	−	2.96547i	0.202798	−	0.0976624i
$923$	7.72994	+	3.72254i	0.254434	+	0.122529i
$924$	0.490087	−	2.14721i	0.0161227	−	0.0706380i
$925$	−1.05189	+	4.60865i	−0.0345861	+	0.151531i
$926$	17.1851	+	8.27593i	0.564739	+	0.271964i
$927$	−13.1759	+	6.34519i	−0.432754	+	0.208403i
$928$	−0.733040	+	3.21166i	−0.0240632	+	0.105428i
$929$	8.08187	−	10.1343i	0.265157	−	0.332497i	−0.631373	−	0.775479i	$-0.717508\pi$
$929$	8.08187	−	10.1343i	0.265157	−	0.332497i	0.896530	+	0.442983i	$0.146080\pi$
$930$	−5.49260	+	6.88750i	−0.180109	+	0.225850i
$931$	28.9517	−	13.9424i	0.948854	−	0.456944i
$932$	−1.73724	−	7.61136i	−0.0569053	−	0.249318i
$933$	8.82153	+	11.0619i	0.288804	+	0.362149i
$934$	−2.12672	−	9.31778i	−0.0695885	−	0.304887i
$935$	4.83968	+	2.33067i	0.158274	+	0.0762210i
$936$	9.77575	−	12.2584i	0.319530	−	0.400678i
$937$	7.65893	+	3.68834i	0.250206	+	0.120493i	0.554784	−	0.831995i	$-0.312801\pi$
$937$	7.65893	+	3.68834i	0.250206	+	0.120493i	−0.304578	+	0.952488i	$0.598515\pi$
$938$	14.9711	+	18.7732i	0.488824	+	0.612966i
$939$	27.7608			0.905939
$940$	−5.42426			−0.176920
$941$	−7.95686	−	9.97759i	−0.259386	−	0.325260i	0.635037	−	0.772482i	$-0.280985\pi$
$941$	−7.95686	−	9.97759i	−0.259386	−	0.325260i	−0.894423	+	0.447222i	$0.852413\pi$
$942$	21.5654	−	10.3854i	0.702640	−	0.338374i
$943$	−1.85243	+	8.11601i	−0.0603233	+	0.264294i
$944$	9.41986	+	41.2711i	0.306590	+	1.34326i
$945$	44.3189			1.44169
$946$	−21.5717	−	5.19253i	−0.701358	−	0.168824i
$947$	−13.0081			−0.422707			−0.211353	−	0.977410i	$-0.567787\pi$
$947$	−13.0081			−0.422707			−0.211353	+	0.977410i	$0.567787\pi$
$948$	0.593692	+	2.60114i	0.0192822	+	0.0844809i
$949$	−2.70004	+	11.8296i	−0.0876469	+	0.384006i
$950$	3.71773	−	1.79036i	0.120619	−	0.0580871i
$951$	−2.23470	−	2.80222i	−0.0724650	−	0.0908683i
$952$	10.2818			0.333236
$953$	−37.6645			−1.22007			−0.610037	−	0.792373i	$-0.708845\pi$
$953$	−37.6645			−1.22007			−0.610037	+	0.792373i	$0.708845\pi$
$954$	−4.46802	−	5.60272i	−0.144657	−	0.181395i
$955$	−44.4420	−	21.4021i	−1.43811	−	0.692556i
$956$	−3.36867	+	4.22418i	−0.108951	+	0.136620i
$957$	−3.89456	−	1.87552i	−0.125893	−	0.0606270i
$958$	12.7362	+	55.8009i	0.411487	+	1.80284i
$959$	−11.1044	−	13.9245i	−0.358580	−	0.449645i
$960$	3.18651	+	13.9610i	0.102844	+	0.450590i
$961$	21.3644	−	10.2886i	0.689174	−	0.331889i
$962$	16.7252	−	20.9727i	0.539242	−	0.676187i
$963$	−15.0406	+	18.8603i	−0.484677	+	0.607765i
$964$	−0.662821	+	2.90401i	−0.0213480	+	0.0935318i
$965$	40.7147	−	19.6072i	1.31065	−	0.631177i
$966$	−4.67648	−	2.25207i	−0.150463	−	0.0724592i
$967$	9.66743	−	42.3558i	0.310884	−	1.36207i	−0.542179	−	0.840263i	$-0.682401\pi$
$967$	9.66743	−	42.3558i	0.310884	−	1.36207i	0.853063	−	0.521808i	$-0.174742\pi$
$968$	−3.45497	+	15.1372i	−0.111047	+	0.486528i
$969$	−3.03628	−	1.46220i	−0.0975394	−	0.0469725i
$970$	19.7778	−	9.52448i	0.635026	−	0.305813i
$971$	−9.84712	+	43.1431i	−0.316009	+	1.38453i	0.528476	+	0.848948i	$0.322764\pi$
$971$	−9.84712	+	43.1431i	−0.316009	+	1.38453i	−0.844485	+	0.535578i	$0.820094\pi$
$972$	2.76792	−	3.47086i	0.0887811	−	0.111328i
$973$	−50.5422	+	63.3779i	−1.62031	+	2.03180i
$974$	14.8822	−	7.16688i	0.476856	−	0.229642i
$975$	−0.407033	−	1.78333i	−0.0130355	−	0.0571122i
$976$	4.68008	+	5.86864i	0.149806	+	0.187850i
$977$	11.8104	+	51.7448i	0.377848	+	1.65546i	0.704041	+	0.710159i	$0.251377\pi$
$977$	11.8104	+	51.7448i	0.377848	+	1.65546i	−0.326193	+	0.945303i	$0.605766\pi$
$978$	16.5160	+	7.95367i	0.528123	+	0.254330i
$979$	−4.64903	+	5.82970i	−0.148584	+	0.186318i
$980$	5.11065	+	2.46116i	0.163254	+	0.0786188i
$981$	−1.09609	−	1.37445i	−0.0349954	−	0.0438829i
$982$	−6.12893			−0.195582
$983$	−54.7375			−1.74585			−0.872927	−	0.487850i	$-0.837781\pi$
$983$	−54.7375			−1.74585			−0.872927	+	0.487850i	$0.837781\pi$
$984$	−12.6615	−	15.8770i	−0.403633	−	0.506139i
$985$	−49.7870	+	23.9762i	−1.58635	+	0.763945i
$986$	−0.715717	+	3.13576i	−0.0227931	+	0.0998630i
$987$	−6.54633	−	28.6813i	−0.208372	−	0.912937i
$988$	−2.83003			−0.0900352
$989$	−2.80916	+	5.66117i	−0.0893261	+	0.180015i
$990$	−17.6910			−0.562258
$991$	−12.3246	−	53.9978i	−0.391505	−	1.71530i	−0.659352	−	0.751834i	$-0.729169\pi$
$991$	−12.3246	−	53.9978i	−0.391505	−	1.71530i	0.267847	−	0.963462i	$-0.413688\pi$
$992$	0.927955	−	4.06563i	0.0294626	−	0.129084i
$993$	16.8386	−	8.10905i	0.534357	−	0.257333i
$994$	−11.5529	−	14.4869i	−0.366437	−	0.459498i
$995$	35.4243			1.12303
$996$	0.158227			0.00501363
$997$	9.23651	+	11.5822i	0.292523	+	0.366812i	0.906276	−	0.422685i	$-0.138912\pi$
$997$	9.23651	+	11.5822i	0.292523	+	0.366812i	−0.613753	+	0.789498i	$0.710341\pi$
$998$	−39.4470	−	18.9967i	−1.24867	−	0.601328i
$999$	−18.8194	+	23.5988i	−0.595421	+	0.746634i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	731.2.k.b.188.8	yes	180
43.35	even	7	inner	731.2.k.b.35.8	✓	180

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
731.2.k.b.35.8	✓	180	43.35	even	7	inner
731.2.k.b.188.8	yes	180	1.1	even	1	trivial

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:	\( N \)	\(=\)	\( 731 = 17 \cdot 43 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	731.k (of order \(7\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.335627 - 1.47048i) q^{2} +(-0.201066 + 0.880929i) q^{3} +(-0.247722 + 0.119297i) q^{4} +(-1.49293 - 1.87208i) q^{5} +1.36287 q^{6} +3.95170 q^{7} +(-1.62225 - 2.03423i) q^{8} +(1.96730 + 0.947401i) q^{9} +O(q^{10})\)	\(q+(-0.335627 - 1.47048i) q^{2} +(-0.201066 + 0.880929i) q^{3} +(-0.247722 + 0.119297i) q^{4} +(-1.49293 - 1.87208i) q^{5} +1.36287 q^{6} +3.95170 q^{7} +(-1.62225 - 2.03423i) q^{8} +(1.96730 + 0.947401i) q^{9} +(-2.25178 + 2.82365i) q^{10} +(2.02118 + 0.973350i) q^{11} +(-0.0552833 - 0.242212i) q^{12} +(1.72069 + 2.15767i) q^{13} +(-1.32630 - 5.81088i) q^{14} +(1.94935 - 0.938756i) q^{15} +(-2.78968 + 3.49815i) q^{16} +(-0.623490 + 0.781831i) q^{17} +(0.732854 - 3.21084i) q^{18} +(3.36027 - 1.61822i) q^{19} +(0.593165 + 0.285653i) q^{20} +(-0.794552 + 3.48116i) q^{21} +(0.752927 - 3.29879i) q^{22} +(-0.868322 - 0.418162i) q^{23} +(2.11819 - 1.02007i) q^{24} +(-0.163226 + 0.715139i) q^{25} +(2.59530 - 3.25440i) q^{26} +(-2.92028 + 3.66191i) q^{27} +(-0.978921 + 0.471424i) q^{28} +(0.474521 + 2.07901i) q^{29} +(-2.03467 - 2.55140i) q^{30} +(-0.600695 - 2.63182i) q^{31} +(1.39182 + 0.670264i) q^{32} +(-1.26384 + 1.58481i) q^{33} +(1.35893 + 0.654424i) q^{34} +(-5.89962 - 7.39789i) q^{35} -0.600365 q^{36} +6.44441 q^{37} +(-3.50735 - 4.39808i) q^{38} +(-2.24673 + 1.08197i) q^{39} +(-1.38634 + 6.07395i) q^{40} +(-1.92207 - 8.42114i) q^{41} +5.38564 q^{42} +(0.0774838 - 6.55698i) q^{43} -0.616809 q^{44} +(-1.16344 - 5.09735i) q^{45} +(-0.323466 + 1.41720i) q^{46} +(-7.42309 + 3.57477i) q^{47} +(-2.52071 - 3.16087i) q^{48} +8.61590 q^{49} +1.10638 q^{50} +(-0.563375 - 0.706450i) q^{51} +(-0.683655 - 0.329231i) q^{52} +(1.35665 - 1.70119i) q^{53} +(6.36488 + 3.06516i) q^{54} +(-1.19530 - 5.23696i) q^{55} +(-6.41062 - 8.03867i) q^{56} +(0.749899 + 3.28552i) q^{57} +(2.89788 - 1.39554i) q^{58} +(5.89899 - 7.39710i) q^{59} +(-0.370905 + 0.465101i) q^{60} +(0.373310 - 1.63558i) q^{61} +(-3.66842 + 1.76662i) q^{62} +(7.77417 + 3.74384i) q^{63} +(-1.47278 + 6.45265i) q^{64} +(1.47046 - 6.44252i) q^{65} +(2.75461 + 1.32655i) q^{66} +(-3.62965 + 1.74795i) q^{67} +(0.0611822 - 0.268057i) q^{68} +(0.542961 - 0.680852i) q^{69} +(-8.89836 + 11.1582i) q^{70} +(2.80094 - 1.34886i) q^{71} +(-1.26421 - 5.53886i) q^{72} +(2.74129 + 3.43747i) q^{73} +(-2.16292 - 9.47636i) q^{74} +(-0.597167 - 0.287581i) q^{75} +(-0.639364 + 0.801737i) q^{76} +(7.98710 + 3.84638i) q^{77} +(2.34507 + 2.94063i) q^{78} -10.7391 q^{79} +10.7136 q^{80} +(1.44553 + 1.81263i) q^{81} +(-11.7380 + 5.65273i) q^{82} +(-0.141720 + 0.620914i) q^{83} +(-0.218463 - 0.957147i) q^{84} +2.39448 q^{85} +(-9.66790 + 2.08676i) q^{86} -1.92687 q^{87} +(-1.29884 - 5.69057i) q^{88} +(-0.739618 + 3.24048i) q^{89} +(-7.10505 + 3.42161i) q^{90} +(6.79963 + 8.52647i) q^{91} +0.264988 q^{92} +2.43922 q^{93} +(7.74802 + 9.71570i) q^{94} +(-8.04609 - 3.87479i) q^{95} +(-0.870302 + 1.09132i) q^{96} +(-5.47622 - 2.63721i) q^{97} +(-2.89173 - 12.6695i) q^{98} +(3.05412 + 3.82974i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 180 q + 2 q^{3} - 34 q^{4} + 2 q^{5} + 6 q^{6} - 54 q^{7} + 14 q^{8} - 18 q^{9}+O(q^{10}) \) 180 * q + 2 * q^3 - 34 * q^4 + 2 * q^5 + 6 * q^6 - 54 * q^7 + 14 * q^8 - 18 * q^9	\( 180 q + 2 q^{3} - 34 q^{4} + 2 q^{5} + 6 q^{6} - 54 q^{7} + 14 q^{8} - 18 q^{9} - 8 q^{10} + 4 q^{11} - 4 q^{12} - 5 q^{13} + 24 q^{14} + 11 q^{15} - 58 q^{16} + 30 q^{17} - 84 q^{18} - 4 q^{20} - 28 q^{21} - 49 q^{22} - 23 q^{23} - 6 q^{24} - 14 q^{25} + 14 q^{26} + 20 q^{27} - 14 q^{28} - 60 q^{29} - 5 q^{30} + 36 q^{31} + 39 q^{32} - 39 q^{33} - 14 q^{35} + 224 q^{36} - 184 q^{37} + 32 q^{38} + 58 q^{39} + 22 q^{40} - 48 q^{41} - 58 q^{42} + 2 q^{43} + 134 q^{44} - 54 q^{45} - 5 q^{46} - 35 q^{47} + 44 q^{48} + 174 q^{49} - 70 q^{50} - 2 q^{51} - 22 q^{52} + 8 q^{53} + 70 q^{54} + 51 q^{55} - 61 q^{56} + 72 q^{57} + 29 q^{58} + 35 q^{59} + 96 q^{60} - 40 q^{61} + 20 q^{62} - 35 q^{63} - 18 q^{64} - 17 q^{65} - 218 q^{66} + 16 q^{67} + 27 q^{68} + 50 q^{69} + 72 q^{70} - 20 q^{71} - 143 q^{72} - 4 q^{73} - 35 q^{74} - 45 q^{75} - 148 q^{76} + 40 q^{77} - 220 q^{78} - 12 q^{79} - 222 q^{80} + 12 q^{81} + 50 q^{82} + 16 q^{83} - 170 q^{84} - 2 q^{85} + 108 q^{86} + 78 q^{87} - 14 q^{88} + 55 q^{89} + 105 q^{90} - 53 q^{91} - 28 q^{92} - 142 q^{93} + 108 q^{94} - 49 q^{95} - 148 q^{96} + 73 q^{97} + 6 q^{98} - 73 q^{99}+O(q^{100}) \) 180 * q + 2 * q^3 - 34 * q^4 + 2 * q^5 + 6 * q^6 - 54 * q^7 + 14 * q^8 - 18 * q^9 - 8 * q^10 + 4 * q^11 - 4 * q^12 - 5 * q^13 + 24 * q^14 + 11 * q^15 - 58 * q^16 + 30 * q^17 - 84 * q^18 - 4 * q^20 - 28 * q^21 - 49 * q^22 - 23 * q^23 - 6 * q^24 - 14 * q^25 + 14 * q^26 + 20 * q^27 - 14 * q^28 - 60 * q^29 - 5 * q^30 + 36 * q^31 + 39 * q^32 - 39 * q^33 - 14 * q^35 + 224 * q^36 - 184 * q^37 + 32 * q^38 + 58 * q^39 + 22 * q^40 - 48 * q^41 - 58 * q^42 + 2 * q^43 + 134 * q^44 - 54 * q^45 - 5 * q^46 - 35 * q^47 + 44 * q^48 + 174 * q^49 - 70 * q^50 - 2 * q^51 - 22 * q^52 + 8 * q^53 + 70 * q^54 + 51 * q^55 - 61 * q^56 + 72 * q^57 + 29 * q^58 + 35 * q^59 + 96 * q^60 - 40 * q^61 + 20 * q^62 - 35 * q^63 - 18 * q^64 - 17 * q^65 - 218 * q^66 + 16 * q^67 + 27 * q^68 + 50 * q^69 + 72 * q^70 - 20 * q^71 - 143 * q^72 - 4 * q^73 - 35 * q^74 - 45 * q^75 - 148 * q^76 + 40 * q^77 - 220 * q^78 - 12 * q^79 - 222 * q^80 + 12 * q^81 + 50 * q^82 + 16 * q^83 - 170 * q^84 - 2 * q^85 + 108 * q^86 + 78 * q^87 - 14 * q^88 + 55 * q^89 + 105 * q^90 - 53 * q^91 - 28 * q^92 - 142 * q^93 + 108 * q^94 - 49 * q^95 - 148 * q^96 + 73 * q^97 + 6 * q^98 - 73 * q^99

Introduction

L-functions

Modular forms

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Database

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