LMFDB - Embedded newform 130.2.s.b.67.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [130,2,Mod(33,130)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(130, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([9, 11]))

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

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

chi := DirichletCharacter("130.33");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 130 = 2 \cdot 5 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	130.s (of order $12$, degree $4$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$1.03805522628$
Analytic rank:	$0$
Dimension:	$16$
Relative dimension:	$4$ over $\Q(\zeta_{12})$
Coefficient field:	$\mathbb{Q}[x]/(x^{16} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{16} - 4 x^{13} - 48 x^{12} + 16 x^{11} + 8 x^{10} + 80 x^{9} + 2208 x^{8} + 760 x^{7} + 192 x^{6} + \cdots + 4096 $ x^16 - 4x^13 - 48x^12 + 16x^11 + 8x^10 + 80x^9 + 2208x^8 + 760x^7 + 192x^6 + 1696x^5 - 2812x^4 - 2080x^3 + 128x^2 - 1024*x + 4096
Coefficient ring:	$\Z[a_1, \ldots, a_{11}]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			67.1
Root			$-0.706135 + 2.63533i$ of defining polynomial
Character	$\chi$	$=$	130.67
Dual form			130.2.s.b.33.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.500000 + 0.866025i) q^{2} +(-2.63533 - 0.706135i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-2.05023 - 0.892496i) q^{5} +(-0.706135 - 2.63533i) q^{6} +(-3.11430 - 1.79804i) q^{7} -1.00000 q^{8} +(3.84827 + 2.22180i) q^{9} +O(q^{10})$	\(q+(0.500000 + 0.866025i) q^{2} +(-2.63533 - 0.706135i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-2.05023 - 0.892496i) q^{5} +(-0.706135 - 2.63533i) q^{6} +(-3.11430 - 1.79804i) q^{7} -1.00000 q^{8} +(3.84827 + 2.22180i) q^{9} +(-0.252192 - 2.22180i) q^{10} +(0.0725272 - 0.270675i) q^{11} +(1.92920 - 1.92920i) q^{12} +(0.103425 + 3.60407i) q^{13} -3.59608i q^{14} +(4.77282 + 3.79976i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(-0.944400 - 3.52455i) q^{17} +4.44360i q^{18} +(-6.15517 + 1.64927i) q^{19} +(1.79804 - 1.32930i) q^{20} +(6.93755 + 6.93755i) q^{21} +(0.270675 - 0.0725272i) q^{22} +(0.557369 - 2.08013i) q^{23} +(2.63533 + 0.706135i) q^{24} +(3.40690 + 3.65965i) q^{25} +(-3.06950 + 1.89160i) q^{26} +(-2.78499 - 2.78499i) q^{27} +(3.11430 - 1.79804i) q^{28} +(0.424336 - 0.244991i) q^{29} +(-0.904283 + 6.03326i) q^{30} +(4.41731 - 4.41731i) q^{31} +(0.500000 - 0.866025i) q^{32} +(-0.382267 + 0.662105i) q^{33} +(2.58015 - 2.58015i) q^{34} +(4.78029 + 6.46590i) q^{35} +(-3.84827 + 2.22180i) q^{36} +(-1.63658 + 0.944883i) q^{37} +(-4.50590 - 4.50590i) q^{38} +(2.27240 - 9.57095i) q^{39} +(2.05023 + 0.892496i) q^{40} +(-8.19308 - 2.19533i) q^{41} +(-2.53932 + 9.47687i) q^{42} +(-11.9039 + 3.18964i) q^{43} +(0.198148 + 0.198148i) q^{44} +(-5.90690 - 7.98978i) q^{45} +(2.08013 - 0.557369i) q^{46} -4.74949i q^{47} +(0.706135 + 2.63533i) q^{48} +(2.96590 + 5.13709i) q^{49} +(-1.46590 + 4.78029i) q^{50} +9.95523i q^{51} +(-3.17293 - 1.71247i) q^{52} +(6.50365 - 6.50365i) q^{53} +(1.01938 - 3.80437i) q^{54} +(-0.390274 + 0.490217i) q^{55} +(3.11430 + 1.79804i) q^{56} +17.3855 q^{57} +(0.424336 + 0.244991i) q^{58} +(-3.49599 - 13.0472i) q^{59} +(-5.67710 + 2.23350i) q^{60} +(0.444419 - 0.769757i) q^{61} +(6.03416 + 1.61685i) q^{62} +(-7.98978 - 13.8387i) q^{63} +1.00000 q^{64} +(3.00457 - 7.48148i) q^{65} -0.764533 q^{66} +(2.25461 + 3.90510i) q^{67} +(3.52455 + 0.944400i) q^{68} +(-2.93770 + 5.08825i) q^{69} +(-3.20949 + 7.37280i) q^{70} +(0.951809 + 3.55220i) q^{71} +(-3.84827 - 2.22180i) q^{72} -1.64073 q^{73} +(-1.63658 - 0.944883i) q^{74} +(-6.39411 - 12.0501i) q^{75} +(1.64927 - 6.15517i) q^{76} +(-0.712556 + 0.712556i) q^{77} +(9.42488 - 2.81752i) q^{78} +10.3567i q^{79} +(0.252192 + 2.22180i) q^{80} +(-1.29260 - 2.23886i) q^{81} +(-2.19533 - 8.19308i) q^{82} +15.5903i q^{83} +(-9.47687 + 2.53932i) q^{84} +(-1.20941 + 8.06901i) q^{85} +(-8.71427 - 8.71427i) q^{86} +(-1.29126 + 0.345993i) q^{87} +(-0.0725272 + 0.270675i) q^{88} +(-2.67847 - 0.717694i) q^{89} +(3.96590 - 9.11041i) q^{90} +(6.15816 - 11.4101i) q^{91} +(1.52276 + 1.52276i) q^{92} +(-14.7603 + 8.52186i) q^{93} +(4.11318 - 2.37474i) q^{94} +(14.0915 + 2.11208i) q^{95} +(-1.92920 + 1.92920i) q^{96} +(-4.94398 + 8.56322i) q^{97} +(-2.96590 + 5.13709i) q^{98} +(0.880491 - 0.880491i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 16 q + 8 q^{2} - 8 q^{4} - 6 q^{7} - 16 q^{8}+O(q^{10}) $ 16 * q + 8 * q^2 - 8 * q^4 - 6 * q^7 - 16 * q^8	$ 16 q + 8 q^{2} - 8 q^{4} - 6 q^{7} - 16 q^{8} + 6 q^{11} - 6 q^{13} + 6 q^{15} - 8 q^{16} - 2 q^{17} - 6 q^{23} + 14 q^{25} - 6 q^{26} - 12 q^{27} + 6 q^{28} + 6 q^{29} + 6 q^{30} + 8 q^{32} + 26 q^{33} + 14 q^{34} - 24 q^{37} - 6 q^{38} + 6 q^{39} - 44 q^{41} - 6 q^{42} - 6 q^{44} - 54 q^{45} - 6 q^{46} + 2 q^{49} + 22 q^{50} - 24 q^{53} - 6 q^{54} - 26 q^{55} + 6 q^{56} + 64 q^{57} + 6 q^{58} + 46 q^{59} + 6 q^{61} + 12 q^{62} + 16 q^{64} + 24 q^{65} + 52 q^{66} + 32 q^{67} + 16 q^{68} - 58 q^{69} + 6 q^{71} - 16 q^{73} - 24 q^{74} + 64 q^{75} - 6 q^{76} - 58 q^{77} + 6 q^{78} - 24 q^{81} - 10 q^{82} - 6 q^{84} - 16 q^{85} - 20 q^{87} - 6 q^{88} + 24 q^{89} + 18 q^{90} + 38 q^{91} - 6 q^{93} + 14 q^{97} - 2 q^{98} + 26 q^{99}+O(q^{100}) $ 16 * q + 8 * q^2 - 8 * q^4 - 6 * q^7 - 16 * q^8 + 6 * q^11 - 6 * q^13 + 6 * q^15 - 8 * q^16 - 2 * q^17 - 6 * q^23 + 14 * q^25 - 6 * q^26 - 12 * q^27 + 6 * q^28 + 6 * q^29 + 6 * q^30 + 8 * q^32 + 26 * q^33 + 14 * q^34 - 24 * q^37 - 6 * q^38 + 6 * q^39 - 44 * q^41 - 6 * q^42 - 6 * q^44 - 54 * q^45 - 6 * q^46 + 2 * q^49 + 22 * q^50 - 24 * q^53 - 6 * q^54 - 26 * q^55 + 6 * q^56 + 64 * q^57 + 6 * q^58 + 46 * q^59 + 6 * q^61 + 12 * q^62 + 16 * q^64 + 24 * q^65 + 52 * q^66 + 32 * q^67 + 16 * q^68 - 58 * q^69 + 6 * q^71 - 16 * q^73 - 24 * q^74 + 64 * q^75 - 6 * q^76 - 58 * q^77 + 6 * q^78 - 24 * q^81 - 10 * q^82 - 6 * q^84 - 16 * q^85 - 20 * q^87 - 6 * q^88 + 24 * q^89 + 18 * q^90 + 38 * q^91 - 6 * q^93 + 14 * q^97 - 2 * q^98 + 26 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/130\mathbb{Z}\right)^\times$.

$n$	$27$	$41$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{1}{12}\right)$

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 $

$2$	0.500000	+	0.866025i	0.353553	+	0.612372i
$2$	0.500000	+	0.866025i	0.353553	+	0.612372i
$3$	−2.63533	−	0.706135i	−1.52151	−	0.407687i	−0.601271	−	0.799045i	$-0.705339\pi$
$3$	−2.63533	−	0.706135i	−1.52151	−	0.407687i	−0.920239	+	0.391358i	$0.872005\pi$
$4$	−0.500000	+	0.866025i	−0.250000	+	0.433013i
$5$	−2.05023	−	0.892496i	−0.916892	−	0.399136i
$5$	−2.05023	−	0.892496i	−0.916892	−	0.399136i
$6$	−0.706135	−	2.63533i	−0.288278	−	1.07587i
$7$	−3.11430	−	1.79804i	−1.17709	−	0.679595i	−0.221753	−	0.975103i	$-0.571178\pi$
$7$	−3.11430	−	1.79804i	−1.17709	−	0.679595i	−0.955340	+	0.295507i	$0.904511\pi$
$8$	−1.00000			−0.353553
$9$	3.84827	+	2.22180i	1.28276	+	0.740600i
$10$	−0.252192	−	2.22180i	−0.0797500	−	0.702595i
$11$	0.0725272	−	0.270675i	0.0218678	−	0.0816117i	−0.954130	−	0.299394i	$-0.903216\pi$
$11$	0.0725272	−	0.270675i	0.0218678	−	0.0816117i	0.975997	+	0.217782i	$0.0698822\pi$
$12$	1.92920	−	1.92920i	0.556911	−	0.556911i
$13$	0.103425	+	3.60407i	0.0286849	+	0.999589i
$13$	0.103425	+	3.60407i	0.0286849	+	0.999589i
$14$		−	3.59608i		−	0.961093i
$15$	4.77282	+	3.79976i	1.23234	+	0.981095i
$16$	−0.500000	−	0.866025i	−0.125000	−	0.216506i
$17$	−0.944400	−	3.52455i	−0.229051	−	0.854828i	−0.980741	−	0.195312i	$-0.937428\pi$
$17$	−0.944400	−	3.52455i	−0.229051	−	0.854828i	0.751691	−	0.659516i	$-0.229239\pi$
$18$			4.44360i			1.04737i
$19$	−6.15517	+	1.64927i	−1.41209	+	0.378369i	−0.882672	−	0.469990i	$-0.844258\pi$
$19$	−6.15517	+	1.64927i	−1.41209	+	0.378369i	−0.529422	+	0.848359i	$0.677591\pi$
$20$	1.79804	−	1.32930i	0.402054	−	0.297242i
$21$	6.93755	+	6.93755i	1.51390	+	1.51390i
$22$	0.270675	−	0.0725272i	0.0577082	−	0.0154629i
$23$	0.557369	−	2.08013i	0.116219	−	0.433737i	−0.883156	−	0.469080i	$-0.844586\pi$
$23$	0.557369	−	2.08013i	0.116219	−	0.433737i	0.999375	+	0.0353430i	$0.0112524\pi$
$24$	2.63533	+	0.706135i	0.537935	+	0.144139i
$25$	3.40690	+	3.65965i	0.681380	+	0.731930i
$26$	−3.06950	+	1.89160i	−0.601979	+	0.370974i
$27$	−2.78499	−	2.78499i	−0.535972	−	0.535972i
$28$	3.11430	−	1.79804i	0.588547	−	0.339798i
$29$	0.424336	−	0.244991i	0.0787972	−	0.0454936i	−0.460084	−	0.887876i	$-0.652181\pi$
$29$	0.424336	−	0.244991i	0.0787972	−	0.0454936i	0.538881	+	0.842382i	$0.318847\pi$
$30$	−0.904283	+	6.03326i	−0.165099	+	1.10152i
$31$	4.41731	−	4.41731i	0.793372	−	0.793372i	−0.188668	−	0.982041i	$-0.560417\pi$
$31$	4.41731	−	4.41731i	0.793372	−	0.793372i	0.982041	+	0.188668i	$0.0604172\pi$
$32$	0.500000	−	0.866025i	0.0883883	−	0.153093i
$33$	−0.382267	+	0.662105i	−0.0665441	+	0.115258i
$34$	2.58015	−	2.58015i	0.442492	−	0.442492i
$35$	4.78029	+	6.46590i	0.808016	+	1.09294i
$36$	−3.84827	+	2.22180i	−0.641379	+	0.370300i
$37$	−1.63658	+	0.944883i	−0.269053	+	0.155338i	−0.628457	−	0.777844i	$-0.716313\pi$
$37$	−1.63658	+	0.944883i	−0.269053	+	0.155338i	0.359404	+	0.933182i	$0.382980\pi$
$38$	−4.50590	−	4.50590i	−0.730953	−	0.730953i
$39$	2.27240	−	9.57095i	0.363875	−	1.53258i
$40$	2.05023	+	0.892496i	0.324170	+	0.141116i
$41$	−8.19308	−	2.19533i	−1.27954	−	0.342853i	−0.445864	−	0.895100i	$-0.647104\pi$
$41$	−8.19308	−	2.19533i	−1.27954	−	0.342853i	−0.833680	+	0.552248i	$0.813770\pi$
$42$	−2.53932	+	9.47687i	−0.391825	+	1.46231i
$43$	−11.9039	+	3.18964i	−1.81533	+	0.486416i	−0.996192	−	0.0871824i	$-0.972214\pi$
$43$	−11.9039	+	3.18964i	−1.81533	+	0.486416i	−0.819137	+	0.573598i	$0.805547\pi$
$44$	0.198148	+	0.198148i	0.0298719	+	0.0298719i
$45$	−5.90690	−	7.98978i	−0.880549	−	1.19105i
$46$	2.08013	−	0.557369i	0.306698	−	0.0821795i
$47$		−	4.74949i		−	0.692784i	−0.938090	−	0.346392i	$-0.887407\pi$
$47$		−	4.74949i		−	0.692784i	0.938090	−	0.346392i	$-0.112593\pi$
$48$	0.706135	+	2.63533i	0.101922	+	0.380377i
$49$	2.96590	+	5.13709i	0.423700	+	0.733869i
$50$	−1.46590	+	4.78029i	−0.207309	+	0.676035i
$51$			9.95523i			1.39401i
$52$	−3.17293	−	1.71247i	−0.440006	−	0.237476i
$53$	6.50365	−	6.50365i	0.893345	−	0.893345i	−0.101491	−	0.994836i	$-0.532361\pi$
$53$	6.50365	−	6.50365i	0.893345	−	0.893345i	0.994836	+	0.101491i	$0.0323613\pi$
$54$	1.01938	−	3.80437i	0.138720	−	0.517709i
$55$	−0.390274	+	0.490217i	−0.0526246	+	0.0661008i
$56$	3.11430	+	1.79804i	0.416165	+	0.240273i
$57$	17.3855			2.30277
$58$	0.424336	+	0.244991i	0.0557181	+	0.0321688i
$59$	−3.49599	−	13.0472i	−0.455140	−	1.69860i	−0.687677	−	0.726017i	$-0.741369\pi$
$59$	−3.49599	−	13.0472i	−0.455140	−	1.69860i	0.232537	−	0.972588i	$-0.425297\pi$
$60$	−5.67710	+	2.23350i	−0.732911	+	0.288344i
$61$	0.444419	−	0.769757i	0.0569021	−	0.0985573i	−0.836171	−	0.548469i	$-0.815211\pi$
$61$	0.444419	−	0.769757i	0.0569021	−	0.0985573i	0.893073	+	0.449911i	$0.148544\pi$
$62$	6.03416	+	1.61685i	0.766339	+	0.205340i
$63$	−7.98978	−	13.8387i	−1.00662	−	1.74351i
$64$	1.00000			0.125000
$65$	3.00457	−	7.48148i	0.372671	−	0.927963i
$66$	−0.764533			−0.0941075
$67$	2.25461	+	3.90510i	0.275445	+	0.477085i	0.970247	−	0.242116i	$-0.0778415\pi$
$67$	2.25461	+	3.90510i	0.275445	+	0.477085i	−0.694802	+	0.719201i	$0.744508\pi$
$68$	3.52455	+	0.944400i	0.427414	+	0.114525i
$69$	−2.93770	+	5.08825i	−0.353658	+	0.612553i
$70$	−3.20949	+	7.37280i	−0.383607	+	0.881218i
$71$	0.951809	+	3.55220i	0.112959	+	0.421568i	0.999126	−	0.0417972i	$-0.0133083\pi$
$71$	0.951809	+	3.55220i	0.112959	+	0.421568i	−0.886167	+	0.463366i	$0.846642\pi$
$72$	−3.84827	−	2.22180i	−0.453523	−	0.261842i
$73$	−1.64073			−0.192033			−0.0960165	−	0.995380i	$-0.530610\pi$
$73$	−1.64073			−0.192033			−0.0960165	+	0.995380i	$0.530610\pi$
$74$	−1.63658	−	0.944883i	−0.190249	−	0.109840i
$75$	−6.39411	−	12.0501i	−0.738328	−	1.39143i
$76$	1.64927	−	6.15517i	0.189185	−	0.706047i
$77$	−0.712556	+	0.712556i	−0.0812033	+	0.0812033i
$78$	9.42488	−	2.81752i	1.06716	−	0.319021i
$79$			10.3567i			1.16522i	0.812751	+	0.582611i	$0.197969\pi$
$79$			10.3567i			1.16522i	−0.812751	+	0.582611i	$0.802031\pi$
$80$	0.252192	+	2.22180i	0.0281959	+	0.248405i
$81$	−1.29260	−	2.23886i	−0.143623	−	0.248762i
$82$	−2.19533	−	8.19308i	−0.242434	−	0.904775i
$83$			15.5903i			1.71125i	0.517593	+	0.855627i	$0.326828\pi$
$83$			15.5903i			1.71125i	−0.517593	+	0.855627i	$0.673172\pi$
$84$	−9.47687	+	2.53932i	−1.03401	+	0.277062i
$85$	−1.20941	+	8.06901i	−0.131179	+	0.875207i
$86$	−8.71427	−	8.71427i	−0.939683	−	0.939683i
$87$	−1.29126	+	0.345993i	−0.138438	+	0.0370943i
$88$	−0.0725272	+	0.270675i	−0.00773143	+	0.0288541i
$89$	−2.67847	−	0.717694i	−0.283917	−	0.0760754i	0.114050	−	0.993475i	$-0.463618\pi$
$89$	−2.67847	−	0.717694i	−0.283917	−	0.0760754i	−0.397967	+	0.917400i	$0.630284\pi$
$90$	3.96590	−	9.11041i	0.418042	−	0.960322i
$91$	6.15816	−	11.4101i	0.645551	−	1.19610i
$92$	1.52276	+	1.52276i	0.158759	+	0.158759i
$93$	−14.7603	+	8.52186i	−1.53057	+	0.883676i
$94$	4.11318	−	2.37474i	0.424242	−	0.244936i
$95$	14.0915	+	2.11208i	1.44576	+	0.216694i
$96$	−1.92920	+	1.92920i	−0.196898	+	0.196898i
$97$	−4.94398	+	8.56322i	−0.501985	+	0.869463i	0.498013	+	0.867170i	$0.334063\pi$
$97$	−4.94398	+	8.56322i	−0.501985	+	0.869463i	−0.999997	+	0.00229342i	$0.999270\pi$
$98$	−2.96590	+	5.13709i	−0.299601	+	0.518924i
$99$	0.880491	−	0.880491i	0.0884927	−	0.0884927i
$100$	−4.87280	+	1.12064i	−0.487280	+	0.112064i
$101$	−7.01169	+	4.04820i	−0.697689	+	0.402811i	−0.806486	−	0.591253i	$-0.798633\pi$
$101$	−7.01169	+	4.04820i	−0.697689	+	0.402811i	0.108797	+	0.994064i	$0.465300\pi$
$102$	−8.62148	+	4.97761i	−0.853654	+	0.492857i
$103$	5.90126	+	5.90126i	0.581468	+	0.581468i	0.935307	−	0.353838i	$-0.115124\pi$
$103$	5.90126	+	5.90126i	0.581468	+	0.581468i	−0.353838	+	0.935307i	$0.615124\pi$
$104$	−0.103425	−	3.60407i	−0.0101417	−	0.353408i
$105$	−8.03185	−	20.4153i	−0.783828	−	1.99233i
$106$	8.88416	+	2.38050i	0.862905	+	0.231215i
$107$	0.832749	−	3.10786i	0.0805049	−	0.300448i	−0.913920	−	0.405894i	$-0.866960\pi$
$107$	0.832749	−	3.10786i	0.0805049	−	0.300448i	0.994425	+	0.105446i	$0.0336269\pi$
$108$	3.80437	−	1.01938i	0.366076	−	0.0980897i
$109$	−6.87889	−	6.87889i	−0.658879	−	0.658879i	0.296236	−	0.955115i	$-0.404268\pi$
$109$	−6.87889	−	6.87889i	−0.658879	−	0.658879i	−0.955115	+	0.296236i	$0.904268\pi$
$110$	−0.619677	−	0.0928790i	−0.0590839	−	0.00885567i
$111$	4.98016	−	1.33443i	0.472696	−	0.126658i
$112$			3.59608i			0.339798i
$113$	−2.14732	−	8.01391i	−0.202003	−	0.753885i	−0.990342	−	0.138644i	$-0.955725\pi$
$113$	−2.14732	−	8.01391i	−0.202003	−	0.753885i	0.788339	−	0.615241i	$-0.210941\pi$
$114$	8.69277	+	15.0563i	0.814152	+	1.41015i
$115$	−2.99924	+	3.76729i	−0.279681	+	0.351302i
$116$			0.489981i			0.0454936i
$117$	−7.60951	+	14.0992i	−0.703500	+	1.30347i
$118$	9.55123	−	9.55123i	0.879262	−	0.879262i
$119$	−3.39614	+	12.6746i	−0.311323	+	1.16187i
$120$	−4.77282	−	3.79976i	−0.435697	−	0.346869i
$121$	9.45827	+	5.46074i	0.859843	+	0.496431i
$122$	0.888839			0.0804717
$123$	20.0413	+	11.5708i	1.80706	+	1.04331i
$124$	1.61685	+	6.03416i	0.145197	+	0.541883i
$125$	−3.71872	−	10.5438i	−0.332612	−	0.943064i
$126$	7.98978	−	13.8387i	0.711786	−	1.23285i
$127$	7.35455	+	1.97065i	0.652611	+	0.174866i	0.569909	−	0.821708i	$-0.306978\pi$
$127$	7.35455	+	1.97065i	0.652611	+	0.174866i	0.0827017	+	0.996574i	$0.473645\pi$
$128$	0.500000	+	0.866025i	0.0441942	+	0.0765466i
$129$	33.6231			2.96035
$130$	7.98144	−	1.13871i	0.700018	−	0.0998710i
$131$	0.476900			0.0416669			0.0208335	−	0.999783i	$-0.493368\pi$
$131$	0.476900			0.0416669			0.0208335	+	0.999783i	$0.493368\pi$
$132$	−0.382267	−	0.662105i	−0.0332720	−	0.0576289i
$133$	22.1345	+	5.93092i	1.91930	+	0.514276i
$134$	−2.25461	+	3.90510i	−0.194769	+	0.337350i
$135$	3.22428	+	8.19548i	0.277502	+	0.705354i
$136$	0.944400	+	3.52455i	0.0809816	+	0.302227i
$137$	−1.35094	−	0.779967i	−0.115419	−	0.0666371i	0.441179	−	0.897419i	$-0.354560\pi$
$137$	−1.35094	−	0.779967i	−0.115419	−	0.0666371i	−0.556598	+	0.830782i	$0.687894\pi$
$138$	−5.87540			−0.500148
$139$	−1.78386	−	1.02991i	−0.151305	−	0.0873560i	0.422436	−	0.906393i	$-0.361175\pi$
$139$	−1.78386	−	1.02991i	−0.151305	−	0.0873560i	−0.573741	+	0.819037i	$0.694508\pi$
$140$	−7.98978	+	0.906901i	−0.675259	+	0.0766471i
$141$	−3.35378	+	12.5165i	−0.282439	+	1.05408i
$142$	−2.60039	+	2.60039i	−0.218220	+	0.218220i
$143$	0.983033	+	0.233398i	0.0822054	+	0.0195178i
$144$		−	4.44360i		−	0.370300i
$145$	−1.08864	+	0.123569i	−0.0904067	+	0.0102619i
$146$	−0.820365	−	1.42091i	−0.0678939	−	0.117596i
$147$	−4.18865	−	15.6323i	−0.345474	−	1.28933i
$148$		−	1.88977i		−	0.155338i
$149$	−10.8717	+	2.91307i	−0.890647	+	0.238648i	−0.674995	−	0.737822i	$-0.735854\pi$
$149$	−10.8717	+	2.91307i	−0.890647	+	0.238648i	−0.215652	+	0.976470i	$0.569188\pi$
$150$	7.23866	−	11.5625i	0.591034	−	0.944076i
$151$	−2.34643	−	2.34643i	−0.190950	−	0.190950i	0.605157	−	0.796106i	$-0.293110\pi$
$151$	−2.34643	−	2.34643i	−0.190950	−	0.190950i	−0.796106	+	0.605157i	$0.793110\pi$
$152$	6.15517	−	1.64927i	0.499250	−	0.133774i
$153$	4.19654	−	15.6617i	0.339270	−	1.26617i
$154$	−0.973370	−	0.260814i	−0.0784364	−	0.0210170i
$155$	−12.9989	+	5.11408i	−1.04410	+	0.410773i
$156$	7.15248	+	6.75343i	0.572657	+	0.540707i
$157$	−5.21176	−	5.21176i	−0.415943	−	0.415943i	0.467859	−	0.883803i	$-0.345025\pi$
$157$	−5.21176	−	5.21176i	−0.415943	−	0.415943i	−0.883803	+	0.467859i	$0.845025\pi$
$158$	−8.96919	+	5.17836i	−0.713550	+	0.411968i
$159$	−21.7317	+	12.5468i	−1.72344	+	0.995028i
$160$	−1.79804	+	1.32930i	−0.142148	+	0.105091i
$161$	−5.47596	+	5.47596i	−0.431566	+	0.431566i
$162$	1.29260	−	2.23886i	0.101557	−	0.175901i
$163$	4.01548	−	6.95501i	0.314517	−	0.544759i	−0.664818	−	0.747005i	$-0.731491\pi$
$163$	4.01548	−	6.95501i	0.314517	−	0.544759i	0.979335	+	0.202247i	$0.0648243\pi$
$164$	5.99775	−	5.99775i	0.468346	−	0.468346i
$165$	1.37466	−	1.01630i	0.107017	−	0.0791187i
$166$	−13.5016	+	7.79513i	−1.04792	+	0.605019i
$167$	14.3882	−	8.30703i	1.11339	−	0.642817i	0.173686	−	0.984801i	$-0.444432\pi$
$167$	14.3882	−	8.30703i	1.11339	−	0.642817i	0.939706	+	0.341984i	$0.111099\pi$
$168$	−6.93755	−	6.93755i	−0.535243	−	0.535243i
$169$	−12.9786	+	0.745501i	−0.998354	+	0.0573462i
$170$	−7.59267	+	2.98713i	−0.582331	+	0.229102i
$171$	−27.3511	−	7.32872i	−2.09159	−	0.560441i
$172$	3.18964	−	11.9039i	0.243208	−	0.907665i
$173$	12.2373	−	3.27898i	0.930386	−	0.249296i	0.238367	−	0.971175i	$-0.423388\pi$
$173$	12.2373	−	3.27898i	0.930386	−	0.249296i	0.692019	+	0.721879i	$0.256721\pi$
$174$	−0.945270	−	0.945270i	−0.0716607	−	0.0716607i
$175$	−4.02991	−	17.5230i	−0.304632	−	1.32461i
$176$	−0.270675	+	0.0725272i	−0.0204029	+	0.00546695i
$177$			36.8524i			2.77000i
$178$	−0.717694	−	2.67847i	−0.0537934	−	0.200760i
$179$	0.973054	+	1.68538i	0.0727295	+	0.125971i	0.900097	−	0.435690i	$-0.143496\pi$
$179$	0.973054	+	1.68538i	0.0727295	+	0.125971i	−0.827367	+	0.561661i	$0.810162\pi$
$180$	9.87280	−	1.12064i	0.735875	−	0.0835275i
$181$		−	14.6549i		−	1.08929i	−0.838667	−	0.544644i	$-0.816665\pi$
$181$		−	14.6549i		−	1.08929i	0.838667	−	0.544644i	$-0.183335\pi$
$182$	12.9605	−	0.371925i	0.960697	−	0.0275689i
$183$	−1.71475	+	1.71475i	−0.126758	+	0.126758i
$184$	−0.557369	+	2.08013i	−0.0410898	+	0.153349i
$185$	4.19868	−	0.476583i	0.308693	−	0.0350391i
$186$	−14.7603	−	8.52186i	−1.08228	−	0.624853i
$187$	−1.02250			−0.0747728
$188$	4.11318	+	2.37474i	0.299984	+	0.173196i
$189$	3.66577	+	13.6808i	0.266645	+	0.995133i
$190$	5.21664	+	13.2596i	0.378455	+	0.961955i
$191$	0.296843	−	0.514146i	0.0214788	−	0.0372023i	−0.855086	−	0.518486i	$-0.826496\pi$
$191$	0.296843	−	0.514146i	0.0214788	−	0.0372023i	0.876565	+	0.481283i	$0.159829\pi$
$192$	−2.63533	−	0.706135i	−0.190189	−	0.0509609i
$193$	−13.5002	−	23.3830i	−0.971765	−	1.68315i	−0.690222	−	0.723597i	$-0.742487\pi$
$193$	−13.5002	−	23.3830i	−0.971765	−	1.68315i	−0.281543	−	0.959549i	$-0.590846\pi$
$194$	−9.88795			−0.709914
$195$	−13.2010	+	17.5946i	−0.945342	+	1.25997i
$196$	−5.93180			−0.423700
$197$	−2.38788	−	4.13593i	−0.170129	−	0.294673i	0.768336	−	0.640047i	$-0.221085\pi$
$197$	−2.38788	−	4.13593i	−0.170129	−	0.294673i	−0.938465	+	0.345375i	$0.887752\pi$
$198$	1.20277	+	0.322282i	0.0854774	+	0.0229036i
$199$	−2.38884	+	4.13759i	−0.169340	+	0.293306i	−0.938188	−	0.346126i	$-0.887497\pi$
$199$	−2.38884	+	4.13759i	−0.169340	+	0.293306i	0.768848	+	0.639432i	$0.220830\pi$
$200$	−3.40690	−	3.65965i	−0.240904	−	0.258776i
$201$	−3.18412	−	11.8833i	−0.224591	−	0.838184i
$202$	−7.01169	−	4.04820i	−0.493341	−	0.284830i
$203$	−1.76201			−0.123669
$204$	−8.62148	−	4.97761i	−0.603624	−	0.348503i
$205$	14.8384	+	11.8132i	1.03636	+	0.825072i
$206$	−2.16001	+	8.06127i	−0.150495	+	0.561655i
$207$	6.76654	−	6.76654i	0.470307	−	0.470307i
$208$	3.06950	−	1.89160i	0.212832	−	0.131159i
$209$			1.78567i			0.123517i
$210$	13.6643	−	17.1634i	0.942923	−	1.18439i
$211$	−2.97543	−	5.15360i	−0.204837	−	0.354789i	0.745244	−	0.666792i	$-0.232333\pi$
$211$	−2.97543	−	5.15360i	−0.204837	−	0.354789i	−0.950081	+	0.312004i	$0.899000\pi$
$212$	2.38050	+	8.88416i	0.163494	+	0.610166i
$213$		−	10.0333i		−	0.687472i
$214$	3.10786	−	0.832749i	0.212449	−	0.0569256i
$215$	27.2525	+	4.08469i	1.85861	+	0.278573i
$216$	2.78499	+	2.78499i	0.189495	+	0.189495i
$217$	−21.6993	+	5.81432i	−1.47305	+	0.394701i
$218$	2.51785	−	9.39674i	0.170530	−	0.636428i
$219$	4.32387	+	1.15858i	0.292180	+	0.0782894i
$220$	−0.229403	−	0.583096i	−0.0154664	−	0.0393123i
$221$	12.6050	−	3.76821i	0.847906	−	0.253477i
$222$	3.64573	+	3.64573i	0.244685	+	0.244685i
$223$	9.44083	−	5.45066i	0.632204	−	0.365003i	−0.149401	−	0.988777i	$-0.547734\pi$
$223$	9.44083	−	5.45066i	0.632204	−	0.365003i	0.781605	+	0.623773i	$0.214401\pi$
$224$	−3.11430	+	1.79804i	−0.208083	+	0.120137i
$225$	4.97967	+	21.6528i	0.331978	+	1.44352i
$226$	5.86659	−	5.86659i	0.390240	−	0.390240i
$227$	−11.5860	+	20.0676i	−0.768991	+	1.33193i	0.169120	+	0.985596i	$0.445908\pi$
$227$	−11.5860	+	20.0676i	−0.768991	+	1.33193i	−0.938111	+	0.346336i	$0.887426\pi$
$228$	−8.69277	+	15.0563i	−0.575693	+	0.997129i
$229$	11.9365	−	11.9365i	0.788789	−	0.788789i	−0.192507	−	0.981296i	$-0.561662\pi$
$229$	11.9365	−	11.9365i	0.788789	−	0.788789i	0.981296	+	0.192507i	$0.0616618\pi$
$230$	−4.76219	−	0.713771i	−0.314010	−	0.0470647i
$231$	2.38098	−	1.37466i	0.156657	−	0.0904461i
$232$	−0.424336	+	0.244991i	−0.0278590	+	0.0160844i
$233$	0.143135	+	0.143135i	0.00937708	+	0.00937708i	0.711780	−	0.702403i	$-0.247889\pi$
$233$	0.143135	+	0.143135i	0.00937708	+	0.00937708i	−0.702403	+	0.711780i	$0.747889\pi$
$234$	−16.0150	+	0.459579i	−1.04694	+	0.0300436i
$235$	−4.23890	+	9.73755i	−0.276515	+	0.635208i
$236$	13.0472	+	3.49599i	0.849302	+	0.227570i
$237$	7.31325	−	27.2934i	0.475046	−	1.77290i
$238$	−12.6746	+	3.39614i	−0.821569	+	0.220139i
$239$	−11.3312	−	11.3312i	−0.732954	−	0.732954i	0.238250	−	0.971204i	$-0.423426\pi$
$239$	−11.3312	−	11.3312i	−0.732954	−	0.732954i	−0.971204	+	0.238250i	$0.923426\pi$
$240$	0.904283	−	6.03326i	0.0583712	−	0.389446i
$241$	−17.9773	+	4.81701i	−1.15802	+	0.310291i	−0.786175	−	0.618003i	$-0.787942\pi$
$241$	−17.9773	+	4.81701i	−1.15802	+	0.310291i	−0.371846	+	0.928294i	$0.621275\pi$
$242$			10.9215i			0.702059i
$243$	4.88364	+	18.2260i	0.313286	+	1.16920i
$244$	0.444419	+	0.769757i	0.0284510	+	0.0492786i
$245$	−1.49595	−	13.1793i	−0.0955727	−	0.841993i
$246$			23.1417i			1.47546i
$247$	−6.58069	−	22.0131i	−0.418719	−	1.40066i
$248$	−4.41731	+	4.41731i	−0.280499	+	0.280499i
$249$	11.0088	−	41.0855i	0.697656	−	2.60369i
$250$	7.27182	−	8.49239i	0.459910	−	0.537106i
$251$	−0.134294	−	0.0775347i	−0.00847656	−	0.00489395i	0.495756	−	0.868462i	$-0.334891\pi$
$251$	−0.134294	−	0.0775347i	−0.00847656	−	0.00489395i	−0.504232	+	0.863568i	$0.668224\pi$
$252$	15.9796			1.00662
$253$	−0.522615	−	0.301732i	−0.0328565	−	0.0189697i
$254$	1.97065	+	7.35455i	0.123649	+	0.461465i
$255$	8.88500	−	20.4105i	0.556400	−	1.27816i
$256$	−0.500000	+	0.866025i	−0.0312500	+	0.0541266i
$257$	11.2034	+	3.00195i	0.698851	+	0.187257i	0.590716	−	0.806880i	$-0.298845\pi$
$257$	11.2034	+	3.00195i	0.698851	+	0.187257i	0.108135	+	0.994136i	$0.465512\pi$
$258$	16.8115	+	29.1184i	1.04664	+	1.81283i
$259$	6.79575			0.422267
$260$	4.97687	+	6.34278i	0.308652	+	0.393362i
$261$	2.17728			0.134770
$262$	0.238450	+	0.413007i	0.0147315	+	0.0255157i
$263$	−9.51431	−	2.54935i	−0.586678	−	0.157200i	−0.0467433	−	0.998907i	$-0.514884\pi$
$263$	−9.51431	−	2.54935i	−0.586678	−	0.157200i	−0.539934	+	0.841707i	$0.681551\pi$
$264$	0.382267	−	0.662105i	0.0235269	−	0.0407498i
$265$	−19.1385	+	7.52951i	−1.17567	+	0.462534i
$266$	5.93092	+	22.1345i	0.363648	+	1.35715i
$267$	6.55187	+	3.78272i	0.400968	+	0.231499i
$268$	−4.50923			−0.275445
$269$	12.7339	+	7.35193i	0.776401	+	0.448255i	0.835153	−	0.550017i	$-0.185379\pi$
$269$	12.7339	+	7.35193i	0.776401	+	0.448255i	−0.0587526	+	0.998273i	$0.518712\pi$
$270$	−5.48535	+	6.89005i	−0.333828	+	0.419315i
$271$	−2.43773	+	9.09773i	−0.148081	+	0.552648i	0.851517	+	0.524326i	$0.175683\pi$
$271$	−2.43773	+	9.09773i	−0.148081	+	0.552648i	−0.999599	+	0.0283212i	$0.990984\pi$
$272$	−2.58015	+	2.58015i	−0.156444	+	0.156444i
$273$	−24.2859	+	25.7209i	−1.46985	+	1.55670i
$274$		−	1.55993i		−	0.0942391i
$275$	1.23767	−	0.656740i	0.0746343	−	0.0396029i
$276$	−2.93770	−	5.08825i	−0.176829	−	0.306277i
$277$	−5.37542	−	20.0613i	−0.322978	−	1.20537i	−0.916329	−	0.400426i	$-0.868862\pi$
$277$	−5.37542	−	20.0613i	−0.322978	−	1.20537i	0.593351	−	0.804944i	$-0.297804\pi$
$278$		−	2.05982i		−	0.123540i
$279$	26.8134	−	7.18463i	1.60528	−	0.430132i
$280$	−4.78029	−	6.46590i	−0.285677	−	0.386411i
$281$	0.0348322	+	0.0348322i	0.00207791	+	0.00207791i	0.708145	−	0.706067i	$-0.249532\pi$
$281$	0.0348322	+	0.0348322i	0.00207791	+	0.00207791i	−0.706067	+	0.708145i	$0.749532\pi$
$282$	−12.5165	+	3.35378i	−0.745345	+	0.199715i
$283$	3.13430	−	11.6974i	0.186315	−	0.695335i	−0.808031	−	0.589140i	$-0.799467\pi$
$283$	3.13430	−	11.6974i	0.186315	−	0.695335i	0.994345	−	0.106195i	$-0.0338668\pi$
$284$	−3.55220	−	0.951809i	−0.210784	−	0.0564795i
$285$	−35.6444	−	15.5165i	−2.11139	−	0.919120i
$286$	0.289388	+	0.968031i	0.0171118	+	0.0572409i
$287$	21.5684	+	21.5684i	1.27314	+	1.27314i
$288$	3.84827	−	2.22180i	0.226762	−	0.130921i
$289$	3.19189	−	1.84284i	0.187758	−	0.108402i
$290$	−0.651334	−	0.881006i	−0.0382477	−	0.0517344i
$291$	19.0758	−	19.0758i	1.11824	−	1.11824i
$292$	0.820365	−	1.42091i	0.0480082	−	0.0831527i
$293$	0.293506	−	0.508367i	0.0171468	−	0.0296991i	−0.857325	−	0.514776i	$-0.827875\pi$
$293$	0.293506	−	0.508367i	0.0171468	−	0.0296991i	0.874471	+	0.485077i	$0.161208\pi$
$294$	11.4436	−	11.4436i	0.667404	−	0.667404i
$295$	−4.47700	+	29.8700i	−0.260661	+	1.73910i
$296$	1.63658	−	0.944883i	0.0951246	−	0.0549202i
$297$	−0.955816	+	0.551841i	−0.0554621	+	0.0320211i
$298$	−7.95866	−	7.95866i	−0.461033	−	0.461033i
$299$	7.55457	+	1.79366i	0.436892	+	0.103730i
$300$	13.6328	+	0.487599i	0.787088	+	0.0281515i
$301$	42.8074	+	11.4702i	2.46738	+	0.661132i
$302$	0.858853	−	3.20528i	0.0494215	−	0.184443i
$303$	21.3367	−	5.71715i	1.22576	−	0.328442i
$304$	4.50590	+	4.50590i	0.258431	+	0.258431i
$305$	−1.59817	+	1.18154i	−0.0915108	+	0.0676547i
$306$	15.6617	−	4.19654i	0.895319	−	0.239900i
$307$		−	15.4835i		−	0.883687i	−0.897092	−	0.441844i	$-0.854325\pi$
$307$		−	15.4835i		−	0.883687i	0.897092	−	0.441844i	$-0.145675\pi$
$308$	−0.260814	−	0.973370i	−0.0148612	−	0.0554629i
$309$	−11.3847	−	19.7189i	−0.647652	−	1.12177i
$310$	−10.9284	−	8.70038i	−0.620691	−	0.494148i
$311$			7.94533i			0.450538i	0.974297	+	0.225269i	$0.0723262\pi$
$311$			7.94533i			0.450538i	−0.974297	+	0.225269i	$0.927674\pi$
$312$	−2.27240	+	9.57095i	−0.128649	+	0.541848i
$313$	−21.1889	+	21.1889i	−1.19767	+	1.19767i	−0.222805	+	0.974863i	$0.571521\pi$
$313$	−21.1889	+	21.1889i	−1.19767	+	1.19767i	−0.974863	+	0.222805i	$0.928479\pi$
$314$	1.90764	−	7.11939i	0.107654	−	0.401770i
$315$	4.02991	+	35.5034i	0.227060	+	2.00039i
$316$	−8.96919	−	5.17836i	−0.504556	−	0.291306i
$317$	−23.4748			−1.31847			−0.659237	−	0.751935i	$-0.729121\pi$
$317$	−23.4748			−1.31847			−0.659237	+	0.751935i	$0.729121\pi$
$318$	−21.7317	−	12.5468i	−1.21866	−	0.703591i
$319$	−0.0355370	−	0.132626i	−0.00198969	−	0.00742562i
$320$	−2.05023	−	0.892496i	−0.114611	−	0.0498921i
$321$	−4.38914	+	7.60222i	−0.244978	+	0.424314i
$322$	−7.48031	−	2.00434i	−0.416861	−	0.111698i
$323$	11.6259	+	20.1366i	0.646882	+	1.12043i
$324$	2.58521			0.143623
$325$	−12.8373	+	12.6572i	−0.712083	+	0.702095i
$326$	8.03096			0.444794
$327$	13.2707	+	22.9856i	0.733874	+	1.27111i
$328$	8.19308	+	2.19533i	0.452387	+	0.121217i
$329$	−8.53977	+	14.7913i	−0.470813	+	0.815471i
$330$	1.56747	+	0.682343i	0.0862864	+	0.0375617i
$331$	−2.09861	−	7.83213i	−0.115350	−	0.430493i	0.883963	−	0.467558i	$-0.154866\pi$
$331$	−2.09861	−	7.83213i	−0.115350	−	0.430493i	−0.999313	+	0.0370646i	$0.988199\pi$
$332$	−13.5016	−	7.79513i	−0.740994	−	0.427813i
$333$	−8.39736			−0.460173
$334$	14.3882	+	8.30703i	0.787287	+	0.454540i
$335$	−1.13719	−	10.0186i	−0.0621313	−	0.547375i
$336$	2.53932	−	9.47687i	0.138531	−	0.517005i
$337$	−25.8990	+	25.8990i	−1.41081	+	1.41081i	−0.656373	+	0.754437i	$0.727910\pi$
$337$	−25.8990	+	25.8990i	−1.41081	+	1.41081i	−0.754437	+	0.656373i	$0.772090\pi$
$338$	−7.13493	−	10.8671i	−0.388089	−	0.591090i
$339$			22.6356i			1.22940i
$340$	−6.38327	−	5.08188i	−0.346181	−	0.275604i
$341$	−0.875282	−	1.51603i	−0.0473992	−	0.0820977i
$342$	−7.32872	−	27.3511i	−0.396292	−	1.47898i
$343$			3.84135i			0.207413i
$344$	11.9039	−	3.18964i	0.641816	−	0.171974i
$345$	10.5642	−	7.81020i	0.568758	−	0.420487i
$346$	8.95834	+	8.95834i	0.481603	+	0.481603i
$347$	19.7470	−	5.29120i	1.06008	−	0.284047i	0.313667	−	0.949533i	$-0.398443\pi$
$347$	19.7470	−	5.29120i	1.06008	−	0.284047i	0.746410	+	0.665486i	$0.231776\pi$
$348$	0.345993	−	1.29126i	0.0185472	−	0.0692190i
$349$	15.7176	+	4.21153i	0.841345	+	0.225438i	0.653657	−	0.756791i	$-0.273234\pi$
$349$	15.7176	+	4.21153i	0.841345	+	0.225438i	0.187688	+	0.982229i	$0.439901\pi$
$350$	13.1604	−	12.2515i	0.703452	−	0.654870i
$351$	9.74926	−	10.3253i	0.520377	−	0.551126i
$352$	−0.198148	−	0.198148i	−0.0105613	−	0.0105613i
$353$	−13.6105	+	7.85804i	−0.724415	+	0.418241i	−0.816376	−	0.577521i	$-0.804020\pi$
$353$	−13.6105	+	7.85804i	−0.724415	+	0.418241i	0.0919603	+	0.995763i	$0.470687\pi$
$354$	−31.9151	+	18.4262i	−1.69627	+	0.979342i
$355$	1.21890	−	8.13232i	0.0646922	−	0.431619i
$356$	1.96078	−	1.96078i	0.103921	−	0.103921i
$357$	17.8999	−	31.0035i	0.947363	−	1.64088i
$358$	−0.973054	+	1.68538i	−0.0514275	+	0.0890751i
$359$	−0.930207	+	0.930207i	−0.0490945	+	0.0490945i	−0.731228	−	0.682133i	$-0.761052\pi$
$359$	−0.930207	+	0.930207i	−0.0490945	+	0.0490945i	0.682133	+	0.731228i	$0.261052\pi$
$360$	5.90690	+	7.98978i	0.311321	+	0.421098i
$361$	18.7116	−	10.8031i	0.984820	−	0.568586i
$362$	12.6915	−	7.32744i	0.667050	−	0.385122i
$363$	−21.0697	−	21.0697i	−1.10587	−	1.10587i
$364$	6.80235	+	11.0382i	0.356540	+	0.578558i
$365$	3.36388	+	1.46435i	0.176073	+	0.0766473i
$366$	−2.34239	−	0.627640i	−0.122438	−	0.0328073i
$367$	−1.11537	+	4.16260i	−0.0582216	+	0.217286i	−0.988907	−	0.148534i	$-0.952545\pi$
$367$	−1.11537	+	4.16260i	−0.0582216	+	0.217286i	0.930686	+	0.365820i	$0.119211\pi$
$368$	−2.08013	+	0.557369i	−0.108434	+	0.0290548i
$369$	−26.6516	−	26.6516i	−1.38743	−	1.38743i
$370$	2.51207	+	3.39787i	0.130597	+	0.176647i
$371$	−31.9481	+	8.56048i	−1.65866	+	0.444438i
$372$		−	17.0437i		−	0.883676i
$373$	−3.79134	−	14.1495i	−0.196308	−	0.732632i	−0.991924	−	0.126831i	$-0.959519\pi$
$373$	−3.79134	−	14.1495i	−0.196308	−	0.732632i	0.795616	−	0.605801i	$-0.207147\pi$
$374$	−0.511251	−	0.885513i	−0.0264362	−	0.0457888i
$375$	2.35472	+	30.4123i	0.121597	+	1.57048i
$376$			4.74949i			0.244936i
$377$	0.926849	+	1.50400i	0.0477352	+	0.0774598i
$378$	−10.0151	+	10.0151i	−0.515119	+	0.515119i
$379$	−0.841456	+	3.14036i	−0.0432227	+	0.161309i	−0.984164	−	0.177261i	$-0.943276\pi$
$379$	−0.841456	+	3.14036i	−0.0432227	+	0.161309i	0.940941	+	0.338570i	$0.109943\pi$
$380$	−8.87486	+	11.1476i	−0.455271	+	0.571858i
$381$	−17.9901	−	10.3866i	−0.921662	−	0.532122i
$382$	0.593685			0.0303756
$383$	−8.85501	−	5.11244i	−0.452470	−	0.261234i	0.256403	−	0.966570i	$-0.417463\pi$
$383$	−8.85501	−	5.11244i	−0.452470	−	0.261234i	−0.708873	+	0.705336i	$0.750796\pi$
$384$	−0.706135	−	2.63533i	−0.0360348	−	0.134484i
$385$	2.09686	−	0.824952i	0.106866	−	0.0420434i
$386$	13.5002	−	23.3830i	0.687142	−	1.19016i
$387$	−52.8962	−	14.1735i	−2.68887	−	0.720480i
$388$	−4.94398	−	8.56322i	−0.250992	−	0.434732i
$389$	26.1759			1.32717			0.663585	−	0.748101i	$-0.269034\pi$
$389$	26.1759			1.32717			0.663585	+	0.748101i	$0.269034\pi$
$390$	−21.8378	−	2.63511i	−1.10580	−	0.133434i
$391$	−7.85789			−0.397390
$392$	−2.96590	−	5.13709i	−0.149800	−	0.259462i
$393$	−1.25679	−	0.336756i	−0.0633966	−	0.0169871i
$394$	2.38788	−	4.13593i	0.120300	−	0.208365i
$395$	9.24334	−	21.2337i	0.465083	−	1.06838i
$396$	0.322282	+	1.20277i	0.0161953	+	0.0604416i
$397$	13.9191	+	8.03622i	0.698582	+	0.403326i	0.806819	−	0.590799i	$-0.201187\pi$
$397$	13.9191	+	8.03622i	0.698582	+	0.403326i	−0.108237	+	0.994125i	$0.534521\pi$
$398$	−4.77767			−0.239483
$399$	−54.1437	−	31.2599i	−2.71058	−	1.56495i
$400$	1.46590	−	4.78029i	0.0732949	−	0.239014i
$401$	1.77351	−	6.61885i	0.0885651	−	0.330529i	−0.907400	−	0.420267i	$-0.861936\pi$
$401$	1.77351	−	6.61885i	0.0885651	−	0.330529i	0.995965	+	0.0897379i	$0.0286030\pi$
$402$	8.69919	−	8.69919i	0.433876	−	0.433876i
$403$	16.3771	+	15.4634i	0.815804	+	0.770288i
$404$		−	8.09640i		−	0.402811i
$405$	0.651968	+	5.74382i	0.0323965	+	0.285413i
$406$	−0.881006	−	1.52595i	−0.0437236	−	0.0757315i
$407$	0.137059	+	0.511513i	0.00679378	+	0.0253547i
$408$		−	9.95523i		−	0.492857i
$409$	29.9680	−	8.02989i	1.48182	−	0.397052i	0.574854	−	0.818256i	$-0.305059\pi$
$409$	29.9680	−	8.02989i	1.48182	−	0.397052i	0.906966	+	0.421204i	$0.138392\pi$
$410$	−2.81136	+	18.7570i	−0.138843	+	0.926344i
$411$	3.00942	+	3.00942i	0.148444	+	0.148444i
$412$	−8.06127	+	2.16001i	−0.397150	+	0.106416i
$413$	−12.5719	+	46.9189i	−0.618622	+	2.30873i
$414$	9.24326	+	2.47672i	0.454281	+	0.121724i
$415$	13.9142	−	31.9636i	0.683024	−	1.56903i
$416$	3.17293	+	1.71247i	0.155566	+	0.0839605i
$417$	3.97381	+	3.97381i	0.194598	+	0.194598i
$418$	−1.54644	+	0.892835i	−0.0756387	+	0.0436700i
$419$	3.34480	−	1.93112i	0.163404	−	0.0943415i	−0.416068	−	0.909334i	$-0.636592\pi$
$419$	3.34480	−	1.93112i	0.163404	−	0.0943415i	0.579472	+	0.814992i	$0.303259\pi$
$420$	21.6961	+	3.25188i	1.05866	+	0.158675i
$421$	−3.44554	+	3.44554i	−0.167925	+	0.167925i	−0.786067	−	0.618141i	$-0.787886\pi$
$421$	−3.44554	+	3.44554i	−0.167925	+	0.167925i	0.618141	+	0.786067i	$0.287886\pi$
$422$	2.97543	−	5.15360i	0.144842	−	0.250873i
$423$	10.5524	−	18.2773i	0.513076	−	0.888673i
$424$	−6.50365	+	6.50365i	−0.315845	+	0.315845i
$425$	9.68113	−	15.4640i	0.469604	−	0.750112i
$426$	8.68912	−	5.01666i	0.420989	−	0.243058i
$427$	−2.76811	+	1.59817i	−0.133958	+	0.0773408i
$428$	2.27511	+	2.27511i	0.109972	+	0.109972i
$429$	−2.42581	−	1.30924i	−0.117119	−	0.0632105i
$430$	10.0888	+	25.6437i	0.486526	+	1.23665i
$431$	−35.6033	−	9.53989i	−1.71495	−	0.459520i	−0.738323	−	0.674447i	$-0.764382\pi$
$431$	−35.6033	−	9.53989i	−1.71495	−	0.459520i	−0.976630	+	0.214927i	$0.931049\pi$
$432$	−1.01938	+	3.80437i	−0.0490448	+	0.183038i
$433$	9.80926	−	2.62838i	0.471403	−	0.126312i	−0.0152937	−	0.999883i	$-0.504868\pi$
$433$	9.80926	−	2.62838i	0.471403	−	0.126312i	0.486697	+	0.873571i	$0.338202\pi$
$434$	−15.8850	−	15.8850i	−0.762505	−	0.762505i
$435$	2.95619	+	0.443082i	0.141738	+	0.0212441i
$436$	9.39674	−	2.51785i	0.450022	−	0.120583i
$437$			13.7228i			0.656451i
$438$	1.15858	+	4.32387i	0.0553590	+	0.206602i
$439$	6.12850	+	10.6149i	0.292497	+	0.506620i	0.974400	−	0.224823i	$-0.0721804\pi$
$439$	6.12850	+	10.6149i	0.292497	+	0.506620i	−0.681902	+	0.731443i	$0.738847\pi$
$440$	0.390274	−	0.490217i	0.0186056	−	0.0233702i
$441$			26.3585i			1.25517i
$442$	9.56588	+	9.03217i	0.455002	+	0.429617i
$443$	11.9862	−	11.9862i	0.569483	−	0.569483i	−0.362501	−	0.931983i	$-0.618077\pi$
$443$	11.9862	−	11.9862i	0.569483	−	0.569483i	0.931983	+	0.362501i	$0.118077\pi$
$444$	−1.33443	+	4.98016i	−0.0633292	+	0.236348i
$445$	4.85095	+	3.86196i	0.229957	+	0.183075i
$446$	9.44083	+	5.45066i	0.447036	+	0.258096i
$447$	30.7077			1.45242
$448$	−3.11430	−	1.79804i	−0.147137	−	0.0849494i
$449$	1.02103	+	3.81054i	0.0481855	+	0.179831i	0.985824	−	0.167780i	$-0.0536598\pi$
$449$	1.02103	+	3.81054i	0.0481855	+	0.179831i	−0.937639	+	0.347611i	$0.886993\pi$
$450$	−16.2620	+	15.1389i	−0.766599	+	0.713655i
$451$	−1.18844	+	2.05844i	−0.0559616	+	0.0969284i
$452$	8.01391	+	2.14732i	0.376943	+	0.101001i
$453$	4.52673	+	7.84052i	0.212684	+	0.368380i
$454$	−23.1720			−1.08752
$455$	−22.8091	+	17.8972i	−1.06931	+	0.839034i
$456$	−17.3855			−0.814152
$457$	−2.82121	−	4.88647i	−0.131970	−	0.228580i	0.792466	−	0.609917i	$-0.208797\pi$
$457$	−2.82121	−	4.88647i	−0.131970	−	0.228580i	−0.924436	+	0.381337i	$0.875464\pi$
$458$	16.3056	+	4.36908i	0.761911	+	0.204154i
$459$	−7.18569	+	12.4460i	−0.335399	+	0.580929i
$460$	−1.76295	−	4.48107i	−0.0821981	−	0.208931i
$461$	9.97712	+	37.2351i	0.464681	+	1.73421i	0.657945	+	0.753066i	$0.271426\pi$
$461$	9.97712	+	37.2351i	0.464681	+	1.73421i	−0.193264	+	0.981147i	$0.561907\pi$
$462$	2.38098	+	1.37466i	0.110773	+	0.0639551i
$463$	−2.77121			−0.128789			−0.0643946	−	0.997925i	$-0.520512\pi$
$463$	−2.77121			−0.128789			−0.0643946	+	0.997925i	$0.520512\pi$
$464$	−0.424336	−	0.244991i	−0.0196993	−	0.0113734i
$465$	37.8678	−	4.29828i	1.75608	−	0.199328i
$466$	−0.0523910	+	0.195526i	−0.00242697	+	0.00905756i
$467$	−29.7328	+	29.7328i	−1.37587	+	1.37587i	−0.524392	+	0.851477i	$0.675707\pi$
$467$	−29.7328	+	29.7328i	−1.37587	+	1.37587i	−0.851477	+	0.524392i	$0.824293\pi$
$468$	−8.40553	−	13.6396i	−0.388546	−	0.630493i
$469$		−	16.2155i		−	0.748764i
$470$	−10.5524	+	1.19778i	−0.486746	+	0.0552495i
$471$	10.0545	+	17.4149i	0.463287	+	0.802437i
$472$	3.49599	+	13.0472i	0.160916	+	0.600547i
$473$			3.45343i			0.158789i
$474$	27.2934	−	7.31325i	1.25363	−	0.335909i
$475$	−27.0058	−	16.9069i	−1.23911	−	0.775740i
$476$	−9.27842	−	9.27842i	−0.425276	−	0.425276i
$477$	39.4776	−	10.5780i	1.80756	−	0.484334i
$478$	4.14750	−	15.4787i	0.189702	−	0.707979i
$479$	18.5297	+	4.96501i	0.846641	+	0.226857i	0.655961	−	0.754795i	$-0.272264\pi$
$479$	18.5297	+	4.96501i	0.846641	+	0.226857i	0.190681	+	0.981652i	$0.438930\pi$
$480$	5.67710	−	2.23350i	0.259123	−	0.101945i
$481$	−3.57468	−	5.80064i	−0.162992	−	0.264486i
$482$	−13.1603	−	13.1603i	−0.599436	−	0.599436i
$483$	18.2978	−	10.5642i	0.832577	−	0.480688i
$484$	−9.45827	+	5.46074i	−0.429922	+	0.248215i
$485$	17.7789	−	13.1441i	0.807300	−	0.596843i
$486$	−13.3424	+	13.3424i	−0.605221	+	0.605221i
$487$	1.58932	−	2.75278i	0.0720188	−	0.124740i	−0.827767	−	0.561072i	$-0.810389\pi$
$487$	1.58932	−	2.75278i	0.0720188	−	0.124740i	0.899786	+	0.436332i	$0.143723\pi$
$488$	−0.444419	+	0.769757i	−0.0201179	+	0.0348453i
$489$	−15.4933	+	15.4933i	−0.700631	+	0.700631i
$490$	10.6656	−	7.88516i	0.481823	−	0.356215i
$491$	−11.5449	+	6.66543i	−0.521012	+	0.300806i	−0.737349	−	0.675512i	$-0.763922\pi$
$491$	−11.5449	+	6.66543i	−0.521012	+	0.300806i	0.216337	+	0.976319i	$0.430589\pi$
$492$	−20.0413	+	11.5708i	−0.903531	+	0.521654i
$493$	−1.26422	−	1.26422i	−0.0569378	−	0.0569378i
$494$	15.7735	−	16.7056i	0.709685	−	0.751620i
$495$	−2.59105	+	1.01938i	−0.116459	+	0.0458175i
$496$	−6.03416	−	1.61685i	−0.270942	−	0.0725986i
$497$	3.42278	−	12.7740i	0.153533	−	0.572992i
$498$	41.0855	−	11.0088i	1.84109	−	0.493317i
$499$	−2.48494	−	2.48494i	−0.111241	−	0.111241i	0.649295	−	0.760536i	$-0.275064\pi$
$499$	−2.48494	−	2.48494i	−0.111241	−	0.111241i	−0.760536	+	0.649295i	$0.775064\pi$
$500$	10.9905	+	2.05139i	0.491512	+	0.0917407i
$501$	−43.7835	+	11.7318i	−1.95610	+	0.524137i
$502$		−	0.155069i		−	0.00692109i
$503$	−9.18793	−	34.2898i	−0.409670	−	1.52891i	−0.795278	−	0.606246i	$-0.792675\pi$
$503$	−9.18793	−	34.2898i	−0.409670	−	1.52891i	0.385608	−	0.922663i	$-0.373992\pi$
$504$	7.98978	+	13.8387i	0.355893	+	0.616425i
$505$	17.9886	−	2.04184i	0.800482	−	0.0908608i
$506$		−	0.603464i		−	0.0268272i
$507$	34.7294	+	7.20001i	1.54239	+	0.319764i
$508$	−5.38390	+	5.38390i	−0.238872	+	0.238872i
$509$	−3.04401	+	11.3604i	−0.134923	+	0.503541i	0.865075	+	0.501643i	$0.167271\pi$
$509$	−3.04401	+	11.3604i	−0.134923	+	0.503541i	−0.999998	+	0.00189794i	$0.999396\pi$
$510$	22.1185	−	2.51062i	0.979425	−	0.111172i
$511$	5.10972	+	2.95010i	0.226041	+	0.130505i
$512$	−1.00000			−0.0441942
$513$	21.7353	+	12.5489i	0.959638	+	0.554047i
$514$	3.00195	+	11.2034i	0.132410	+	0.494162i
$515$	−6.83210	−	17.3658i	−0.301058	−	0.765228i
$516$	−16.8115	+	29.1184i	−0.740087	+	1.28187i
$517$	−1.28557	−	0.344467i	−0.0565392	−	0.0151496i
$518$	3.39787	+	5.88529i	0.149294	+	0.258585i
$519$	−34.5648			−1.51723
$520$	−3.00457	+	7.48148i	−0.131759	+	0.328085i
$521$	−15.9242			−0.697652			−0.348826	−	0.937188i	$-0.613420\pi$
$521$	−15.9242			−0.697652			−0.348826	+	0.937188i	$0.613420\pi$
$522$	1.08864	+	1.88558i	0.0476485	+	0.0825296i
$523$	−34.2949	−	9.18930i	−1.49961	−	0.401820i	−0.586642	−	0.809846i	$-0.699550\pi$
$523$	−34.2949	−	9.18930i	−1.49961	−	0.401820i	−0.912970	+	0.408026i	$0.866217\pi$
$524$	−0.238450	+	0.413007i	−0.0104167	+	0.0180423i
$525$	−1.75344	+	49.0245i	−0.0765266	+	2.13961i
$526$	−2.54935	−	9.51431i	−0.111157	−	0.414844i
$527$	−19.7407	−	11.3973i	−0.859919	−	0.496475i
$528$	0.764533			0.0332720
$529$	15.9023	+	9.18120i	0.691405	+	0.399183i
$530$	−16.0900	−	12.8097i	−0.698904	−	0.556416i
$531$	15.5348	−	57.9767i	0.674153	−	2.51597i
$532$	−16.2036	+	16.2036i	−0.702514	+	0.702514i
$533$	7.06475	−	29.7555i	0.306008	−	1.28885i
$534$			7.56545i			0.327389i
$535$	−4.48108	+	5.62861i	−0.193734	+	0.243346i
$536$	−2.25461	−	3.90510i	−0.0973845	−	0.168675i
$537$	−1.37422	−	5.12864i	−0.0593018	−	0.221317i
$538$			14.7039i			0.633928i
$539$	1.60559	−	0.430217i	0.0691577	−	0.0185307i
$540$	−8.70963	−	1.30542i	−0.374803	−	0.0561765i
$541$	22.5310	+	22.5310i	0.968685	+	0.968685i	0.999524	−	0.0308394i	$-0.00981804\pi$
$541$	22.5310	+	22.5310i	0.968685	+	0.968685i	−0.0308394	+	0.999524i	$0.509818\pi$
$542$	−9.09773	+	2.43773i	−0.390781	+	0.104709i
$543$	−10.3483	+	38.6205i	−0.444089	+	1.65736i
$544$	−3.52455	−	0.944400i	−0.151114	−	0.0404908i
$545$	7.96394	+	20.2427i	0.341138	+	0.867103i
$546$	−34.4179	−	8.17173i	−1.47295	−	0.349718i
$547$	2.56923	+	2.56923i	0.109853	+	0.109853i	0.759897	−	0.650044i	$-0.225250\pi$
$547$	2.56923	+	2.56923i	0.109853	+	0.109853i	−0.650044	+	0.759897i	$0.725250\pi$
$548$	1.35094	−	0.779967i	0.0577094	−	0.0333185i
$549$	3.42049	−	1.97482i	0.145983	−	0.0842834i
$550$	1.18759	+	0.743483i	0.0506389	+	0.0317022i
$551$	−2.20781	+	2.20781i	−0.0940557	+	0.0940557i
$552$	2.93770	−	5.08825i	0.125037	−	0.216570i
$553$	18.6218	−	32.2539i	0.791880	−	1.37158i
$554$	14.6859	−	14.6859i	0.623945	−	0.623945i
$555$	−11.4015	−	1.70888i	−0.483965	−	0.0725380i
$556$	1.78386	−	1.02991i	0.0756525	−	0.0436780i
$557$	−8.76871	+	5.06262i	−0.371542	+	0.214510i	−0.674132	−	0.738611i	$-0.735482\pi$
$557$	−8.76871	+	5.06262i	−0.371542	+	0.214510i	0.302590	+	0.953121i	$0.402149\pi$
$558$	19.6288	+	19.6288i	0.830952	+	0.830952i
$559$	−12.7268	−	42.5726i	−0.538288	−	1.80063i
$560$	3.20949	−	7.37280i	0.135626	−	0.311558i
$561$	2.69463	+	0.722025i	0.113768	+	0.0304839i
$562$	−0.0127495	+	0.0475816i	−0.000537803	+	0.00200711i
$563$	14.3008	−	3.83188i	0.602706	−	0.161495i	0.0554522	−	0.998461i	$-0.482340\pi$
$563$	14.3008	−	3.83188i	0.602706	−	0.161495i	0.547254	+	0.836967i	$0.315673\pi$
$564$	−9.16269	−	9.16269i	−0.385819	−	0.385819i
$565$	−2.74988	+	18.3468i	−0.115688	+	0.771858i
$566$	11.6974	−	3.13430i	0.491676	−	0.131744i
$567$			9.29662i			0.390421i
$568$	−0.951809	−	3.55220i	−0.0399370	−	0.149047i
$569$	1.55633	+	2.69564i	0.0652447	+	0.113007i	0.896802	−	0.442431i	$-0.145884\pi$
$569$	1.55633	+	2.69564i	0.0652447	+	0.113007i	−0.831558	+	0.555438i	$0.812551\pi$
$570$	−4.38449	−	38.6272i	−0.183646	−	1.61792i
$571$		−	18.1836i		−	0.760959i	−0.924789	−	0.380479i	$-0.875759\pi$
$571$		−	18.1836i		−	0.760959i	0.924789	−	0.380479i	$-0.124241\pi$
$572$	−0.693646	+	0.734633i	−0.0290028	+	0.0307165i
$573$	−1.14534	+	1.14534i	−0.0478471	+	0.0478471i
$574$	−7.89458	+	29.4630i	−0.329514	+	1.22976i
$575$	9.51143	−	5.04702i	0.396654	−	0.210475i
$576$	3.84827	+	2.22180i	0.160345	+	0.0925750i
$577$	4.93811			0.205576			0.102788	−	0.994703i	$-0.467224\pi$
$577$	4.93811			0.205576			0.102788	+	0.994703i	$0.467224\pi$
$578$	3.19189	+	1.84284i	0.132765	+	0.0766520i
$579$	19.0659	+	71.1550i	0.792352	+	2.95710i
$580$	0.437306	−	1.00457i	0.0181582	−	0.0417127i
$581$	28.0319	−	48.5527i	1.16296	−	2.01431i
$582$	26.0580	+	6.98223i	1.08014	+	0.289423i
$583$	−1.28869	−	2.23207i	−0.0533719	−	0.0924429i
$584$	1.64073			0.0678939
$585$	28.1848	−	22.1152i	1.16530	−	0.914352i
$586$	0.587012			0.0242492
$587$	−15.6399	−	27.0890i	−0.645526	−	1.11808i	−0.984180	−	0.177173i	$-0.943305\pi$
$587$	−15.6399	−	27.0890i	−0.645526	−	1.11808i	0.338654	−	0.940911i	$-0.390028\pi$
$588$	15.6323	+	4.18865i	0.644663	+	0.172737i
$589$	−19.9040	+	34.4747i	−0.820128	+	1.42050i
$590$	−28.1067	+	11.0578i	−1.15713	+	0.455243i
$591$	3.37233	+	12.5857i	0.138719	+	0.517707i
$592$	1.63658	+	0.944883i	0.0672632	+	0.0388344i
$593$	0.950667			0.0390392			0.0195196	−	0.999809i	$-0.493786\pi$
$593$	0.950667			0.0390392			0.0195196	+	0.999809i	$0.493786\pi$
$594$	−0.955816	−	0.551841i	−0.0392176	−	0.0226423i
$595$	18.2749	−	22.9547i	0.749196	−	0.941052i
$596$	2.91307	−	10.8717i	0.119324	−	0.445324i
$597$	9.21707	−	9.21707i	0.377230	−	0.377230i
$598$	2.22393	+	7.43927i	0.0909433	+	0.304215i
$599$			15.3924i			0.628917i	0.949271	+	0.314458i	$0.101823\pi$
$599$			15.3924i			0.628917i	−0.949271	+	0.314458i	$0.898177\pi$
$600$	6.39411	+	12.0501i	0.261038	+	0.491944i
$601$	−2.85880	−	4.95159i	−0.116613	−	0.201980i	0.801810	−	0.597579i	$-0.203870\pi$
$601$	−2.85880	−	4.95159i	−0.116613	−	0.201980i	−0.918423	+	0.395599i	$0.870537\pi$
$602$	11.4702	+	42.8074i	0.467491	+	1.74470i
$603$			20.0372i			0.815978i
$604$	3.20528	−	0.858853i	0.130421	−	0.0349462i
$605$	−14.5180	−	19.6373i	−0.590239	−	0.798368i
$606$	15.6196	+	15.6196i	0.634501	+	0.634501i
$607$	6.65959	−	1.78443i	0.270304	−	0.0724279i	−0.121121	−	0.992638i	$-0.538649\pi$
$607$	6.65959	−	1.78443i	0.270304	−	0.0724279i	0.391425	+	0.920210i	$0.371982\pi$
$608$	−1.64927	+	6.15517i	−0.0668869	+	0.249625i
$609$	4.64349	+	1.24422i	0.188164	+	0.0504183i
$610$	−1.82233	−	0.793285i	−0.0737838	−	0.0321192i
$611$	17.1175	−	0.491215i	0.692499	−	0.0198724i
$612$	11.4651	+	11.4651i	0.463451	+	0.463451i
$613$	39.7286	−	22.9373i	1.60462	−	0.926429i	0.614076	−	0.789247i	$-0.289529\pi$
$613$	39.7286	−	22.9373i	1.60462	−	0.926429i	0.990546	−	0.137182i	$-0.0438044\pi$
$614$	13.4091	−	7.74173i	0.541146	−	0.312431i
$615$	−30.7624	−	41.6097i	−1.24046	−	1.67787i
$616$	0.712556	−	0.712556i	0.0287097	−	0.0287097i
$617$	8.33018	−	14.4283i	0.335360	−	0.580861i	−0.648194	−	0.761475i	$-0.724475\pi$
$617$	8.33018	−	14.4283i	0.335360	−	0.580861i	0.983554	+	0.180614i	$0.0578086\pi$
$618$	11.3847	−	19.7189i	0.457959	−	0.793209i
$619$	−1.94079	+	1.94079i	−0.0780070	+	0.0780070i	−0.745034	−	0.667027i	$-0.767567\pi$
$619$	−1.94079	+	1.94079i	−0.0780070	+	0.0780070i	0.667027	+	0.745034i	$0.267567\pi$
$620$	2.07055	−	13.8145i	0.0831553	−	0.554802i
$621$	−7.34541	+	4.24087i	−0.294761	+	0.170180i
$622$	−6.88086	+	3.97267i	−0.275897	+	0.159289i
$623$	7.05111	+	7.05111i	0.282497	+	0.282497i
$624$	−9.42488	+	2.81752i	−0.377297	+	0.112791i
$625$	−1.78605	+	24.9361i	−0.0714420	+	0.997445i
$626$	−28.9446	−	7.75568i	−1.15686	−	0.309979i
$627$	1.26092	−	4.70584i	0.0503565	−	0.187933i
$628$	7.11939	−	1.90764i	0.284095	−	0.0761229i
$629$	4.87587	+	4.87587i	0.194414	+	0.194414i
$630$	−28.7319	+	21.2417i	−1.14471	+	0.846289i
$631$	35.7153	−	9.56989i	1.42180	−	0.380971i	0.535681	−	0.844421i	$-0.320055\pi$
$631$	35.7153	−	9.56989i	1.42180	−	0.380971i	0.886123	+	0.463449i	$0.153388\pi$
$632$		−	10.3567i		−	0.411968i
$633$	4.20212	+	15.6825i	0.167019	+	0.623324i
$634$	−11.7374	−	20.3297i	−0.466151	−	0.807397i
$635$	−13.3197	−	10.6042i	−0.528578	−	0.420814i
$636$		−	25.0937i		−	0.995028i
$637$	−18.2077	+	11.2206i	−0.721414	+	0.444576i
$638$	0.0970888	−	0.0970888i	0.00384378	−	0.00384378i
$639$	−4.22946	+	15.7846i	−0.167315	+	0.624427i
$640$	−0.252192	−	2.22180i	−0.00996875	−	0.0878244i
$641$	−27.2432	−	15.7289i	−1.07604	−	0.621254i	−0.146217	−	0.989253i	$-0.546710\pi$
$641$	−27.2432	−	15.7289i	−1.07604	−	0.621254i	−0.929826	+	0.367998i	$0.880043\pi$
$642$	−8.77828			−0.346451
$643$	−15.4306	−	8.90887i	−0.608524	−	0.351331i	0.163864	−	0.986483i	$-0.447604\pi$
$643$	−15.4306	−	8.90887i	−0.608524	−	0.351331i	−0.772388	+	0.635152i	$0.780938\pi$
$644$	−2.00434	−	7.48031i	−0.0789821	−	0.294765i
$645$	−68.9351	−	30.0085i	−2.71432	−	1.18158i
$646$	−11.6259	+	20.1366i	−0.457414	+	0.792265i
$647$	−35.5918	−	9.53681i	−1.39926	−	0.374931i	−0.521181	−	0.853446i	$-0.674508\pi$
$647$	−35.5918	−	9.53681i	−1.39926	−	0.374931i	−0.878079	+	0.478516i	$0.841175\pi$
$648$	1.29260	+	2.23886i	0.0507783	+	0.0879506i
$649$	−3.78512			−0.148579
$650$	−17.3801	−	4.78879i	−0.681703	−	0.187832i
$651$	61.2906			2.40217
$652$	4.01548	+	6.95501i	0.157258	+	0.272379i
$653$	−38.9924	−	10.4480i	−1.52589	−	0.408861i	−0.604214	−	0.796822i	$-0.706513\pi$
$653$	−38.9924	−	10.4480i	−1.52589	−	0.408861i	−0.921676	+	0.387961i	$0.873180\pi$
$654$	−13.2707	+	22.9856i	−0.518927	+	0.898808i
$655$	−0.977755	−	0.425631i	−0.0382041	−	0.0166308i
$656$	2.19533	+	8.19308i	0.0857132	+	0.319886i
$657$	−6.31398	−	3.64538i	−0.246332	−	0.142220i
$658$	−17.0795			−0.665830
$659$	−35.0913	−	20.2600i	−1.36696	−	0.789217i	−0.376425	−	0.926447i	$-0.622847\pi$
$659$	−35.0913	−	20.2600i	−1.36696	−	0.789217i	−0.990539	+	0.137230i	$0.956180\pi$
$660$	0.192809	+	1.69864i	0.00750507	+	0.0661195i
$661$	−12.8096	+	47.8060i	−0.498234	+	1.85944i	0.0128690	+	0.999917i	$0.495904\pi$
$661$	−12.8096	+	47.8060i	−0.498234	+	1.85944i	−0.511103	+	0.859519i	$0.670763\pi$
$662$	5.73352	−	5.73352i	0.222840	−	0.222840i
$663$	−35.8793	+	1.02962i	−1.39344	+	0.0399871i
$664$		−	15.5903i		−	0.605019i
$665$	−40.0875	−	31.9147i	−1.55453	−	1.23760i
$666$	−4.19868	−	7.27233i	−0.162696	−	0.281797i
$667$	−0.273100	−	1.01922i	−0.0105745	−	0.0394645i
$668$			16.6141i			0.642817i
$669$	−28.7286	+	7.69781i	−1.11071	+	0.297614i
$670$	8.10777	−	5.99414i	0.313231	−	0.231574i
$671$	−0.176122	−	0.176122i	−0.00679910	−	0.00679910i
$672$	9.47687	−	2.53932i	0.365578	−	0.0979563i
$673$	−9.05187	+	33.7820i	−0.348924	+	1.30220i	0.539037	+	0.842282i	$0.318788\pi$
$673$	−9.05187	+	33.7820i	−0.348924	+	1.30220i	−0.887961	+	0.459919i	$0.847878\pi$
$674$	−35.3787	−	9.47970i	−1.36274	−	0.365144i
$675$	0.703899	−	19.6803i	0.0270931	−	0.757495i
$676$	5.84368	−	11.6126i	0.224757	−	0.446637i
$677$	−31.1911	−	31.1911i	−1.19877	−	1.19877i	−0.974535	−	0.224234i	$-0.928012\pi$
$677$	−31.1911	−	31.1911i	−1.19877	−	1.19877i	−0.224234	−	0.974535i	$-0.571988\pi$
$678$	−19.6030	+	11.3178i	−0.752849	+	0.434658i
$679$	30.7940	−	17.7789i	1.18177	−	0.682293i
$680$	1.20941	−	8.06901i	0.0463786	−	0.309432i
$681$	44.7034	−	44.7034i	1.71304	−	1.71304i
$682$	0.875282	−	1.51603i	0.0335163	−	0.0580519i
$683$	−5.45383	+	9.44631i	−0.208685	+	0.361453i	−0.951301	−	0.308265i	$-0.900252\pi$
$683$	−5.45383	+	9.44631i	−0.208685	+	0.361453i	0.742615	+	0.669718i	$0.233585\pi$
$684$	20.0224	−	20.0224i	0.765577	−	0.765577i
$685$	2.07363	+	2.80482i	0.0792293	+	0.107167i
$686$	−3.32671	+	1.92067i	−0.127014	+	0.0733317i
$687$	−39.8856	+	23.0279i	−1.52173	+	0.878571i
$688$	8.71427	+	8.71427i	0.332228	+	0.332228i
$689$	24.1122	+	22.7670i	0.918603	+	0.867352i
$690$	12.0459	+	5.24378i	0.458581	+	0.199627i
$691$	6.71649	+	1.79968i	0.255507	+	0.0684630i	0.384299	−	0.923209i	$-0.374443\pi$
$691$	6.71649	+	1.79968i	0.255507	+	0.0684630i	−0.128792	+	0.991672i	$0.541110\pi$
$692$	−3.27898	+	12.2373i	−0.124648	+	0.465193i
$693$	−4.32527	+	1.15895i	−0.164303	+	0.0440250i
$694$	14.4558	+	14.4558i	0.548736	+	0.548736i
$695$	2.73813	+	3.70365i	0.103863	+	0.140487i
$696$	1.29126	−	0.345993i	0.0489452	−	0.0131148i
$697$			30.9502i			1.17232i
$698$	4.21153	+	15.7176i	0.159409	+	0.594921i
$699$	−0.276135	−	0.478281i	−0.0104444	−	0.0180902i
$700$	17.1903	+	5.27149i	0.649732	+	0.199243i
$701$		−	33.1853i		−	1.25339i	−0.779263	−	0.626697i	$-0.784407\pi$
$701$		−	33.1853i		−	1.25339i	0.779263	−	0.626697i	$-0.215593\pi$
$702$	13.8166	+	3.28044i	0.521475	+	0.123812i
$703$	8.51509	−	8.51509i	0.321153	−	0.321153i
$704$	0.0725272	−	0.270675i	0.00273347	−	0.0102015i
$705$	18.0469	−	22.6684i	0.679687	−	0.853743i
$706$	−13.6105	−	7.85804i	−0.512239	−	0.295741i
$707$	29.1153			1.09499
$708$	−31.9151	−	18.4262i	−1.19944	−	0.692499i
$709$	1.41538	+	5.28226i	0.0531557	+	0.198380i	0.987397	−	0.158261i	$-0.0505887\pi$
$709$	1.41538	+	5.28226i	0.0531557	+	0.198380i	−0.934242	+	0.356641i	$0.883922\pi$
$710$	7.65224	−	3.01056i	0.287183	−	0.112984i
$711$	−23.0106	+	39.8555i	−0.862964	+	1.49470i
$712$	2.67847	+	0.717694i	0.100380	+	0.0268967i
$713$	−6.72650	−	11.6506i	−0.251909	−	0.436320i
$714$	35.7998			1.33977
$715$	−1.80714	−	1.35587i	−0.0675832	−	0.0507068i
$716$	−1.94611			−0.0727295
$717$	21.8601	+	37.8628i	0.816380	+	1.41401i
$718$	−1.27069	−	0.340479i	−0.0474216	−	0.0127066i
$719$	6.84658	−	11.8586i	0.255334	−	0.442252i	−0.709652	−	0.704552i	$-0.751148\pi$
$719$	6.84658	−	11.8586i	0.255334	−	0.442252i	0.964986	+	0.262300i	$0.0844811\pi$
$720$	−3.96590	+	9.11041i	−0.147800	+	0.339525i
$721$	−7.76757	−	28.9890i	−0.289279	−	1.07961i
$722$	18.7116	+	10.8031i	0.696373	+	0.402051i
$723$	50.7777			1.88844
$724$	12.6915	+	7.32744i	0.471676	+	0.272322i
$725$	2.34225	+	0.718262i	0.0869890	+	0.0266756i
$726$	7.71204	−	28.7817i	0.286221	−	1.06819i
$727$	20.8450	−	20.8450i	0.773099	−	0.773099i	−0.205548	−	0.978647i	$-0.565898\pi$
$727$	20.8450	−	20.8450i	0.773099	−	0.773099i	0.978647	+	0.205548i	$0.0658976\pi$
$728$	−6.15816	+	11.4101i	−0.228237	+	0.422886i
$729$		−	43.7244i		−	1.61942i
$730$	0.413778	+	3.64538i	0.0153146	+	0.134921i
$731$	22.4841	+	38.9436i	0.831604	+	1.44038i
$732$	−0.627640	−	2.34239i	−0.0231983	−	0.0865771i
$733$		−	2.75177i		−	0.101639i	−0.998708	−	0.0508195i	$-0.983817\pi$
$733$		−	2.75177i		−	0.101639i	0.998708	−	0.0508195i	$-0.0161833\pi$
$734$	−4.16260	+	1.11537i	−0.153644	+	0.0411689i
$735$	−5.36402	+	35.7881i	−0.197855	+	1.32006i
$736$	−1.52276	−	1.52276i	−0.0561296	−	0.0561296i
$737$	1.22054	−	0.327042i	0.0449590	−	0.0120467i
$738$	9.75517	−	36.4068i	0.359093	−	1.34015i
$739$	−36.7025	−	9.83441i	−1.35012	−	0.361765i	−0.489943	−	0.871754i	$-0.662983\pi$
$739$	−36.7025	−	9.83441i	−1.35012	−	0.361765i	−0.860181	+	0.509990i	$0.829649\pi$
$740$	−1.68661	+	3.87446i	−0.0620010	+	0.142428i
$741$	1.79810	+	62.6586i	0.0660548	+	2.30182i
$742$	−23.3877	−	23.3877i	−0.858588	−	0.858588i
$743$	36.8348	−	21.2666i	1.35134	−	0.780196i	0.362902	−	0.931827i	$-0.381786\pi$
$743$	36.8348	−	21.2666i	1.35134	−	0.780196i	0.988437	+	0.151631i	$0.0484527\pi$
$744$	14.7603	−	8.52186i	0.541139	−	0.312427i
$745$	24.8895	+	3.73051i	0.911880	+	0.136675i
$746$	10.3581	−	10.3581i	0.379238	−	0.379238i
$747$	−34.6385	+	59.9956i	−1.26735	+	2.19512i
$748$	0.511251	−	0.885513i	0.0186932	−	0.0323776i
$749$	−8.18149	+	8.18149i	−0.298945	+	0.298945i
$750$	−25.1604	+	17.2454i	−0.918729	+	0.629712i
$751$	−35.9624	+	20.7629i	−1.31229	+	0.757649i	−0.982474	−	0.186398i	$-0.940319\pi$
$751$	−35.9624	+	20.7629i	−1.31229	+	0.757649i	−0.329812	+	0.944047i	$0.606985\pi$
$752$	−4.11318	+	2.37474i	−0.149992	+	0.0865980i
$753$	0.299159	+	0.299159i	0.0109020	+	0.0109020i
$754$	−0.839076	+	1.55467i	−0.0305573	+	0.0566179i
$755$	2.71655	+	6.90491i	0.0988653	+	0.251295i
$756$	−13.6808	−	3.66577i	−0.497567	−	0.133323i
$757$	−10.8814	+	40.6101i	−0.395493	+	1.47600i	0.425446	+	0.904984i	$0.360117\pi$
$757$	−10.8814	+	40.6101i	−0.395493	+	1.47600i	−0.820939	+	0.571016i	$0.806549\pi$
$758$	−3.14036	+	0.841456i	−0.114063	+	0.0305630i
$759$	1.16420	+	1.16420i	0.0422578	+	0.0422578i
$760$	−14.0915	−	2.11208i	−0.511153	−	0.0766130i
$761$	26.4419	−	7.08509i	0.958519	−	0.256834i	0.254546	−	0.967061i	$-0.418074\pi$
$761$	26.4419	−	7.08509i	0.958519	−	0.256834i	0.703973	+	0.710226i	$0.251407\pi$
$762$		−	20.7732i		−	0.752534i
$763$	9.05439	+	33.7914i	0.327791	+	1.22333i
$764$	0.296843	+	0.514146i	0.0107394	+	0.0186012i
$765$	−22.5819	+	28.3647i	−0.816449	+	1.02553i
$766$		−	10.2249i		−	0.369440i
$767$	46.6615	−	13.9492i	1.68485	−	0.503677i
$768$	1.92920	−	1.92920i	0.0696139	−	0.0696139i
$769$	−7.62636	+	28.4620i	−0.275014	+	1.02637i	0.680818	+	0.732452i	$0.261624\pi$
$769$	−7.62636	+	28.4620i	−0.275014	+	1.02637i	−0.955832	+	0.293913i	$0.905042\pi$
$770$	1.76286	+	1.40346i	0.0635290	+	0.0505771i
$771$	−27.4050	−	15.8223i	−0.986966	−	0.569825i
$772$	27.0004			0.971765
$773$	−8.83313	−	5.09981i	−0.317706	−	0.183427i	0.332664	−	0.943045i	$-0.392053\pi$
$773$	−8.83313	−	5.09981i	−0.317706	−	0.183427i	−0.650369	+	0.759618i	$0.725386\pi$
$774$	−14.1735	−	52.8962i	−0.509456	−	1.90132i
$775$	31.2151	+	1.11646i	1.12128	+	0.0401045i
$776$	4.94398	−	8.56322i	0.177478	−	0.307402i
$777$	−17.9091	−	4.79872i	−0.642484	−	0.172153i
$778$	13.0879	+	22.6690i	0.469225	+	0.812722i
$779$	54.0506			1.93656
$780$	−8.63684	−	20.2297i	−0.309248	−	0.724338i
$781$	1.03052			0.0368751
$782$	−3.92894	−	6.80513i	−0.140499	−	0.243351i
$783$	−1.86407	−	0.499476i	−0.0666164	−	0.0178498i
$784$	2.96590	−	5.13709i	0.105925	−	0.183467i
$785$	6.03384	+	15.3368i	0.215357	+	0.547393i
$786$	−0.336756	−	1.25679i	−0.0120117	−	0.0448282i
$787$	30.6572	+	17.7000i	1.09281	+	0.630935i	0.934324	−	0.356426i	$-0.116005\pi$
$787$	30.6572	+	17.7000i	1.09281	+	0.630935i	0.158488	+	0.987361i	$0.449338\pi$
$788$	4.77576			0.170129
$789$	23.2732	+	13.4368i	0.828547	+	0.478362i
$790$	23.0106	−	2.61188i	0.818680	−	0.0929265i
$791$	−7.72194	+	28.8187i	−0.274561	+	1.02467i
$792$	−0.880491	+	0.880491i	−0.0312869	+	0.0312869i
$793$	2.82022	+	1.52211i	0.100149	+	0.0540516i
$794$			16.0724i			0.570390i
$795$	55.7531	−	6.32841i	1.97736	−	0.224445i
$796$	−2.38884	−	4.13759i	−0.0846700	−	0.146653i
$797$	6.88514	+	25.6957i	0.243884	+	0.910188i	0.973941	+	0.226801i	$0.0728268\pi$
$797$	6.88514	+	25.6957i	0.243884	+	0.910188i	−0.730057	+	0.683386i	$0.760506\pi$
$798$		−	62.5198i		−	2.21318i
$799$	−16.7398	+	4.48541i	−0.592211	+	0.158682i
$800$	4.87280	−	1.12064i	0.172279	−	0.0396206i
$801$	−8.71291	−	8.71291i	−0.307856	−	0.307856i
$802$	6.61885	−	1.77351i	0.233720	−	0.0626250i
$803$	−0.118998	+	0.444105i	−0.00419933	+	0.0156721i
$804$	11.8833	+	3.18412i	0.419092	+	0.112295i
$805$	16.1143	−	6.33972i	0.567954	−	0.223446i
$806$	−5.20315	+	21.9147i	−0.183273	+	0.771914i
$807$	−28.3666	−	28.3666i	−0.998553	−	0.998553i
$808$	7.01169	−	4.04820i	0.246670	−	0.142415i
$809$	−27.4070	+	15.8234i	−0.963579	+	0.556323i	−0.897273	−	0.441477i	$-0.854455\pi$
$809$	−27.4070	+	15.8234i	−0.963579	+	0.556323i	−0.0663064	+	0.997799i	$0.521121\pi$
$810$	−4.64831	+	3.43653i	−0.163325	+	0.120747i
$811$	−15.6436	+	15.6436i	−0.549320	+	0.549320i	−0.926244	−	0.376924i	$-0.876982\pi$
$811$	−15.6436	+	15.6436i	−0.549320	+	0.549320i	0.376924	+	0.926244i	$0.376982\pi$
$812$	0.881006	−	1.52595i	0.0309172	−	0.0535502i
$813$	12.8484	−	22.2542i	0.450615	−	0.780488i
$814$	−0.374453	+	0.374453i	−0.0131246	+	0.0131246i
$815$	−14.4400	+	10.6756i	−0.505811	+	0.373950i
$816$	8.62148	−	4.97761i	0.301812	−	0.174251i
$817$	68.0100	−	39.2656i	2.37937	−	1.37373i
$818$	21.9381	+	21.9381i	0.767046	+	0.767046i
$819$	49.0493	−	30.2270i	1.71392	−	1.05622i
$820$	−17.6498	+	6.94381i	−0.616356	+	0.242488i
$821$	41.0678	+	11.0041i	1.43328	+	0.384045i	0.890173	−	0.455622i	$-0.150583\pi$
$821$	41.0678	+	11.0041i	1.43328	+	0.384045i	0.543102	+	0.839667i	$0.317250\pi$
$822$	−1.10152	+	4.11094i	−0.0384201	+	0.143386i
$823$	−31.7390	+	8.50444i	−1.10635	+	0.296446i	−0.765349	−	0.643616i	$-0.777434\pi$
$823$	−31.7390	+	8.50444i	−1.10635	+	0.296446i	−0.341004	+	0.940062i	$0.610767\pi$
$824$	−5.90126	−	5.90126i	−0.205580	−	0.205580i
$825$	−3.72542	+	0.856766i	−0.129702	+	0.0298288i
$826$	−46.9189	+	12.5719i	−1.63252	+	0.437432i
$827$		−	36.7363i		−	1.27745i	−0.769437	−	0.638723i	$-0.779463\pi$
$827$		−	36.7363i		−	1.27745i	0.769437	−	0.638723i	$-0.220537\pi$
$828$	2.47672	+	9.24326i	0.0860721	+	0.321225i
$829$	−20.9015	−	36.2025i	−0.725940	−	1.25736i	−0.958586	−	0.284803i	$-0.908072\pi$
$829$	−20.9015	−	36.2025i	−0.725940	−	1.25736i	0.232646	−	0.972561i	$-0.425262\pi$
$830$	34.6385	−	3.93173i	1.20232	−	0.136472i
$831$			56.6641i			1.96566i
$832$	0.103425	+	3.60407i	0.00358562	+	0.124949i
$833$	15.3049	−	15.3049i	0.530284	−	0.530284i
$834$	−1.45451	+	5.42832i	−0.0503657	+	0.187967i
$835$	−36.9131	+	4.18992i	−1.27743	+	0.144998i
$836$	−1.54644	−	0.892835i	−0.0534846	−	0.0308794i
$837$	−24.6044			−0.850451
$838$	3.34480	+	1.93112i	0.115544	+	0.0667095i
$839$	−0.00971015	−	0.0362388i	−0.000335232	−	0.00125110i	0.965758	−	0.259445i	$-0.0835395\pi$
$839$	−0.00971015	−	0.0362388i	−0.000335232	−	0.00125110i	−0.966093	+	0.258193i	$0.916873\pi$
$840$	8.03185	+	20.4153i	0.277125	+	0.704395i
$841$	−14.3800	+	24.9068i	−0.495861	+	0.858856i
$842$	−4.70670	−	1.26116i	−0.162204	−	0.0434623i
$843$	−0.0671981	−	0.116391i	−0.00231443	−	0.00400870i
$844$	5.95087			0.204837
$845$	27.2745	+	10.0549i	0.938272	+	0.345899i
$846$	21.1048			0.725599
$847$	−19.6373	−	34.0127i	−0.674744	−	1.16869i
$848$	−8.88416	−	2.38050i	−0.305083	−	0.0817468i
$849$	−16.5198	+	28.6132i	−0.566959	+	0.982001i
$850$	18.2327	+	0.652125i	0.625378	+	0.0223677i
$851$	1.05330	+	3.93095i	0.0361065	+	0.134751i
$852$	8.68912	+	5.01666i	0.297684	+	0.171868i
$853$	17.3057			0.592535			0.296267	−	0.955105i	$-0.404258\pi$
$853$	17.3057			0.592535			0.296267	+	0.955105i	$0.404258\pi$
$854$	−2.76811	−	1.59817i	−0.0947227	−	0.0546882i
$855$	49.5353	+	39.4364i	1.69407	+	1.34869i
$856$	−0.832749	+	3.10786i	−0.0284628	+	0.106225i
$857$	−9.14936	+	9.14936i	−0.312536	+	0.312536i	−0.845891	−	0.533355i	$-0.820931\pi$
$857$	−9.14936	+	9.14936i	−0.312536	+	0.312536i	0.533355	+	0.845891i	$0.320931\pi$
$858$	−0.0790718	−	2.75543i	−0.00269947	−	0.0940688i
$859$		−	39.7857i		−	1.35747i	−0.734383	−	0.678735i	$-0.762528\pi$
$859$		−	39.7857i		−	1.35747i	0.734383	−	0.678735i	$-0.237472\pi$
$860$	−17.1637	+	21.5590i	−0.585277	+	0.735157i
$861$	−41.6097	−	72.0701i	−1.41805	−	2.45614i
$862$	−9.53989	−	35.6033i	−0.324930	−	1.21265i
$863$			45.1001i			1.53522i	0.640915	+	0.767612i	$0.278555\pi$
$863$			45.1001i			1.53522i	−0.640915	+	0.767612i	$0.721445\pi$
$864$	−3.80437	+	1.01938i	−0.129427	+	0.0346799i
$865$	−28.0158	−	4.19909i	−0.952566	−	0.142773i
$866$	7.18088	+	7.18088i	0.244016	+	0.244016i
$867$	−9.71298	+	2.60259i	−0.329870	+	0.0883885i
$868$	5.81432	−	21.6993i	0.197351	−	0.736523i
$869$	2.80331	+	0.751145i	0.0950958	+	0.0254808i
$870$	1.09437	+	2.78167i	0.0371027	+	0.0943075i
$871$	−13.8411	+	8.52966i	−0.468987	+	0.289017i
$872$	6.87889	+	6.87889i	0.232949	+	0.232949i
$873$	−38.0515	+	21.9691i	−1.28785	+	0.743540i
$874$	−11.8843	+	6.86140i	−0.401992	+	0.232090i
$875$	−7.37695	+	39.5228i	−0.249386	+	1.33612i
$876$	−3.16529	+	3.16529i	−0.106945	+	0.106945i
$877$	20.9474	−	36.2820i	0.707343	−	1.22515i	−0.258496	−	0.966012i	$-0.583227\pi$
$877$	20.9474	−	36.2820i	0.707343	−	1.22515i	0.965839	−	0.259142i	$-0.0834399\pi$
$878$	−6.12850	+	10.6149i	−0.206827	+	0.358235i
$879$	−1.13246	+	1.13246i	−0.0381970	+	0.0381970i
$880$	0.619677	+	0.0928790i	0.0208893	+	0.00313095i
$881$	21.5581	−	12.4466i	0.726312	−	0.419337i	−0.0907593	−	0.995873i	$-0.528929\pi$
$881$	21.5581	−	12.4466i	0.726312	−	0.419337i	0.817072	+	0.576536i	$0.195596\pi$
$882$	−22.8272	+	13.1793i	−0.768631	+	0.443769i
$883$	−17.5190	−	17.5190i	−0.589561	−	0.589561i	0.347951	−	0.937513i	$-0.386877\pi$
$883$	−17.5190	−	17.5190i	−0.589561	−	0.589561i	−0.937513	+	0.347951i	$0.886877\pi$
$884$	−3.03915	+	12.8004i	−0.102218	+	0.430523i
$885$	32.8906	−	75.5560i	1.10561	−	2.53979i
$886$	16.3735	+	4.38726i	0.550078	+	0.147393i
$887$	5.58671	−	20.8499i	0.187583	−	0.700071i	−0.806479	−	0.591262i	$-0.798630\pi$
$887$	5.58671	−	20.8499i	0.187583	−	0.700071i	0.994063	−	0.108808i	$-0.0347035\pi$
$888$	−4.98016	+	1.33443i	−0.167123	+	0.0447805i
$889$	−19.3609	−	19.3609i	−0.649345	−	0.649345i
$890$	−0.919086	+	6.13202i	−0.0308078	+	0.205546i
$891$	−0.699752	+	0.187498i	−0.0234426	+	0.00628142i
$892$			10.9013i			0.365003i
$893$	7.83320	+	29.2339i	0.262128	+	0.978275i
$894$	15.3538	+	26.5936i	0.513509	+	0.889423i
$895$	−0.490792	−	4.32387i	−0.0164054	−	0.144531i
$896$		−	3.59608i		−	0.120137i
$897$	−18.6422	−	10.0614i	−0.622446	−	0.335941i
$898$	−2.78951	+	2.78951i	−0.0930872	+	0.0930872i
$899$	0.792225	−	2.95662i	0.0264222	−	0.0986089i
$900$	−21.2417	−	6.51387i	−0.708056	−	0.217129i
$901$	−29.0645	−	16.7804i	−0.968278	−	0.559036i
$902$	−2.37689			−0.0791417
$903$	−104.712	−	60.4556i	−3.48460	−	2.01184i
$904$	2.14732	+	8.01391i	0.0714188	+	0.266539i
$905$	−13.0794	+	30.0459i	−0.434775	+	0.998759i
$906$	−4.52673	+	7.84052i	−0.150390	+	0.260484i
$907$	42.5476	+	11.4006i	1.41277	+	0.378550i	0.882913	−	0.469537i	$-0.155579\pi$
$907$	42.5476	+	11.4006i	1.41277	+	0.378550i	0.529856	+	0.848087i	$0.322246\pi$
$908$	−11.5860	−	20.0676i	−0.384495	−	0.665966i
$909$	−35.9772			−1.19329
$910$	−26.9040	−	10.8047i	−0.891859	−	0.358172i
$911$	−30.5831			−1.01326			−0.506632	−	0.862162i	$-0.669110\pi$
$911$	−30.5831			−1.01326			−0.506632	+	0.862162i	$0.669110\pi$
$912$	−8.69277	−	15.0563i	−0.287846	−	0.498564i
$913$	4.21990	+	1.13072i	0.139658	+	0.0374213i
$914$	2.82121	−	4.88647i	0.0933172	−	0.161630i
$915$	5.04603	−	1.98522i	0.166817	−	0.0656294i
$916$	4.36908	+	16.3056i	0.144358	+	0.538753i
$917$	−1.48521	−	0.857485i	−0.0490459	−	0.0283166i
$918$	−14.3714			−0.474326
$919$	4.56976	+	2.63835i	0.150743	+	0.0870313i	0.573474	−	0.819224i	$-0.305595\pi$
$919$	4.56976	+	2.63835i	0.150743	+	0.0870313i	−0.422732	+	0.906255i	$0.638929\pi$
$920$	2.99924	−	3.76729i	0.0988820	−	0.124204i
$921$	−10.9334	+	40.8040i	−0.360268	+	1.34454i
$922$	−27.2580	+	27.2580i	−0.897695	+	0.897695i
$923$	−12.7039	+	3.79777i	−0.418155	+	0.125005i
$924$			2.74932i			0.0904461i
$925$	−9.03362	−	2.77020i	−0.297024	−	0.0910837i
$926$	−1.38561	−	2.39994i	−0.0455339	−	0.0788670i
$927$	9.59823	+	35.8211i	0.315247	+	1.17652i
$928$		−	0.489981i		−	0.0160844i
$929$	−41.6939	+	11.1718i	−1.36793	+	0.366536i	−0.866723	−	0.498790i	$-0.833778\pi$
$929$	−41.6939	+	11.1718i	−1.36793	+	0.366536i	−0.501209	+	0.865326i	$0.667111\pi$
$930$	22.6563	+	30.6453i	0.742929	+	1.00490i
$931$	−26.7281	−	26.7281i	−0.875977	−	0.875977i
$932$	−0.195526	+	0.0523910i	−0.00640467	+	0.00171612i
$933$	5.61048	−	20.9386i	0.183679	−	0.685499i
$934$	−40.6157	−	10.8830i	−1.32899	−	0.356101i
$935$	2.09637	+	0.912580i	0.0685585	+	0.0298445i
$936$	7.60951	−	14.0992i	0.248725	−	0.460848i
$937$	19.2336	+	19.2336i	0.628336	+	0.628336i	0.947649	−	0.319314i	$-0.103452\pi$
$937$	19.2336	+	19.2336i	0.628336	+	0.628336i	−0.319314	+	0.947649i	$0.603452\pi$
$938$	14.0431	−	8.10777i	0.458523	−	0.264728i
$939$	70.8021	−	40.8776i	2.31054	−	1.33399i
$940$	−6.31351	−	8.53977i	−0.205924	−	0.278536i
$941$	−9.03183	+	9.03183i	−0.294429	+	0.294429i	−0.838827	−	0.544398i	$-0.816758\pi$
$941$	−9.03183	+	9.03183i	−0.294429	+	0.294429i	0.544398	+	0.838827i	$0.316758\pi$
$942$	−10.0545	+	17.4149i	−0.327593	+	0.567408i
$943$	−9.13313	+	15.8191i	−0.297416	+	0.515139i
$944$	−9.55123	+	9.55123i	−0.310866	+	0.310866i
$945$	4.69441	−	31.3205i	0.152709	−	1.01886i
$946$	−2.99076	+	1.72672i	−0.0972379	+	0.0561403i
$947$	6.40767	−	3.69947i	0.208221	−	0.120217i	−0.392263	−	0.919853i	$-0.628308\pi$
$947$	6.40767	−	3.69947i	0.208221	−	0.120217i	0.600485	+	0.799636i	$0.294974\pi$
$948$	19.9802	+	19.9802i	0.648926	+	0.648926i
$949$	−0.169692	−	5.91330i	−0.00550845	−	0.191954i
$950$	1.13885	−	31.8412i	0.0369493	−	1.03306i
$951$	61.8638	+	16.5764i	2.00607	+	0.537525i
$952$	3.39614	−	12.6746i	0.110069	−	0.410785i
$953$	28.5565	−	7.65169i	0.925036	−	0.247863i	0.235299	−	0.971923i	$-0.424393\pi$
$953$	28.5565	−	7.65169i	0.925036	−	0.247863i	0.689737	+	0.724060i	$0.257726\pi$
$954$	28.8996	+	28.8996i	0.935661	+	0.935661i
$955$	−1.06747	+	0.789188i	−0.0345425	+	0.0255375i
$956$	15.4787	−	4.14750i	0.500617	−	0.134140i
$957$			0.374607i			0.0121093i
$958$	4.96501	+	18.5297i	0.160412	+	0.598666i
$959$	2.80482	+	4.85810i	0.0905725	+	0.156876i
$960$	4.77282	+	3.79976i	0.154042	+	0.122637i
$961$		−	8.02526i		−	0.258879i
$962$	3.23616	−	5.99609i	0.104338	−	0.193322i
$963$	10.1097	−	10.1097i	0.325780	−	0.325780i
$964$	4.81701	−	17.9773i	0.155145	−	0.579011i
$965$	6.80927	+	59.9895i	0.219198	+	1.93113i
$966$	18.2978	+	10.5642i	0.588721	+	0.339898i
$967$	12.8025			0.411699			0.205850	−	0.978584i	$-0.434004\pi$
$967$	12.8025			0.411699			0.205850	+	0.978584i	$0.434004\pi$
$968$	−9.45827	−	5.46074i	−0.304000	−	0.175515i
$969$	−16.4189	−	61.2761i	−0.527451	−	1.96847i
$970$	20.2726	+	8.82496i	0.650914	+	0.283352i
$971$	25.5054	−	44.1766i	0.818507	−	1.41770i	−0.0882757	−	0.996096i	$-0.528136\pi$
$971$	25.5054	−	44.1766i	0.818507	−	1.41770i	0.906782	−	0.421599i	$-0.138531\pi$
$972$	−18.2260	−	4.88364i	−0.584599	−	0.156643i
$973$	3.70365	+	6.41491i	0.118733	+	0.205652i
$974$	3.17863			0.101850
$975$	42.7681	−	24.2911i	1.36968	−	0.777937i
$976$	−0.888839			−0.0284510
$977$	−22.6076	−	39.1575i	−0.723282	−	1.25276i	−0.959677	−	0.281104i	$-0.909299\pi$
$977$	−22.6076	−	39.1575i	−0.723282	−	1.25276i	0.236395	−	0.971657i	$-0.424034\pi$
$978$	−21.1642	−	5.67094i	−0.676758	−	0.181337i
$979$	−0.388524	+	0.672943i	−0.0124173	+	0.0215074i
$980$	12.1616	+	5.29410i	0.388487	+	0.169114i
$981$	−11.1883	−	41.7554i	−0.357216	−	1.33315i
$982$	−11.5449	−	6.66543i	−0.368411	−	0.212702i
$983$	−44.4113			−1.41650			−0.708251	−	0.705961i	$-0.750515\pi$
$983$	−44.4113			−1.41650			−0.708251	+	0.705961i	$0.750515\pi$
$984$	−20.0413	−	11.5708i	−0.638893	−	0.368865i
$985$	1.20441	+	10.6108i	0.0383756	+	0.338088i
$986$	0.462738	−	1.72696i	0.0147366	−	0.0549977i
$987$	32.9498	−	32.9498i	1.04880	−	1.04880i
$988$	22.3542	+	5.30750i	0.711183	+	0.168854i
$989$			26.5395i			0.843906i
$990$	−2.17833	−	1.73422i	−0.0692318	−	0.0551172i
$991$	−4.26730	−	7.39118i	−0.135555	−	0.234789i	0.790254	−	0.612779i	$-0.209948\pi$
$991$	−4.26730	−	7.39118i	−0.135555	−	0.234789i	−0.925809	+	0.377991i	$0.876615\pi$
$992$	−1.61685	−	6.03416i	−0.0513350	−	0.191585i
$993$			22.1222i			0.702026i
$994$	12.7740	−	3.42278i	0.405166	−	0.108564i
$995$	8.59045	−	6.35098i	0.272335	−	0.201340i
$996$	30.0767	+	30.0767i	0.953016	+	0.953016i
$997$	−27.4127	+	7.34520i	−0.868168	+	0.232625i	−0.665295	−	0.746580i	$-0.731694\pi$
$997$	−27.4127	+	7.34520i	−0.868168	+	0.232625i	−0.202872	+	0.979205i	$0.565028\pi$
$998$	0.909550	−	3.39449i	0.0287913	−	0.107451i
$999$	7.18937	+	1.92639i	0.227462	+	0.0609481i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	130.2.s.b.67.1	yes	16
5.2	odd	4		650.2.t.g.93.1		16
5.3	odd	4		130.2.p.b.93.4	yes	16
5.4	even	2		650.2.w.g.457.4		16
13.7	odd	12		130.2.p.b.7.4	✓	16
65.7	even	12		650.2.w.g.293.4		16
65.33	even	12	inner	130.2.s.b.33.1	yes	16
65.59	odd	12		650.2.t.g.7.1		16

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
130.2.p.b.7.4	✓	16	13.7	odd	12
130.2.p.b.93.4	yes	16	5.3	odd	4
130.2.s.b.33.1	yes	16	65.33	even	12	inner
130.2.s.b.67.1	yes	16	1.1	even	1	trivial
650.2.t.g.7.1		16	65.59	odd	12
650.2.t.g.93.1		16	5.2	odd	4
650.2.w.g.293.4		16	65.7	even	12
650.2.w.g.457.4		16	5.4	even	2

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 130 = 2 \cdot 5 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	130.s (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.500000 + 0.866025i) q^{2} +(-2.63533 - 0.706135i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-2.05023 - 0.892496i) q^{5} +(-0.706135 - 2.63533i) q^{6} +(-3.11430 - 1.79804i) q^{7} -1.00000 q^{8} +(3.84827 + 2.22180i) q^{9} +O(q^{10})\)	\(q+(0.500000 + 0.866025i) q^{2} +(-2.63533 - 0.706135i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-2.05023 - 0.892496i) q^{5} +(-0.706135 - 2.63533i) q^{6} +(-3.11430 - 1.79804i) q^{7} -1.00000 q^{8} +(3.84827 + 2.22180i) q^{9} +(-0.252192 - 2.22180i) q^{10} +(0.0725272 - 0.270675i) q^{11} +(1.92920 - 1.92920i) q^{12} +(0.103425 + 3.60407i) q^{13} -3.59608i q^{14} +(4.77282 + 3.79976i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(-0.944400 - 3.52455i) q^{17} +4.44360i q^{18} +(-6.15517 + 1.64927i) q^{19} +(1.79804 - 1.32930i) q^{20} +(6.93755 + 6.93755i) q^{21} +(0.270675 - 0.0725272i) q^{22} +(0.557369 - 2.08013i) q^{23} +(2.63533 + 0.706135i) q^{24} +(3.40690 + 3.65965i) q^{25} +(-3.06950 + 1.89160i) q^{26} +(-2.78499 - 2.78499i) q^{27} +(3.11430 - 1.79804i) q^{28} +(0.424336 - 0.244991i) q^{29} +(-0.904283 + 6.03326i) q^{30} +(4.41731 - 4.41731i) q^{31} +(0.500000 - 0.866025i) q^{32} +(-0.382267 + 0.662105i) q^{33} +(2.58015 - 2.58015i) q^{34} +(4.78029 + 6.46590i) q^{35} +(-3.84827 + 2.22180i) q^{36} +(-1.63658 + 0.944883i) q^{37} +(-4.50590 - 4.50590i) q^{38} +(2.27240 - 9.57095i) q^{39} +(2.05023 + 0.892496i) q^{40} +(-8.19308 - 2.19533i) q^{41} +(-2.53932 + 9.47687i) q^{42} +(-11.9039 + 3.18964i) q^{43} +(0.198148 + 0.198148i) q^{44} +(-5.90690 - 7.98978i) q^{45} +(2.08013 - 0.557369i) q^{46} -4.74949i q^{47} +(0.706135 + 2.63533i) q^{48} +(2.96590 + 5.13709i) q^{49} +(-1.46590 + 4.78029i) q^{50} +9.95523i q^{51} +(-3.17293 - 1.71247i) q^{52} +(6.50365 - 6.50365i) q^{53} +(1.01938 - 3.80437i) q^{54} +(-0.390274 + 0.490217i) q^{55} +(3.11430 + 1.79804i) q^{56} +17.3855 q^{57} +(0.424336 + 0.244991i) q^{58} +(-3.49599 - 13.0472i) q^{59} +(-5.67710 + 2.23350i) q^{60} +(0.444419 - 0.769757i) q^{61} +(6.03416 + 1.61685i) q^{62} +(-7.98978 - 13.8387i) q^{63} +1.00000 q^{64} +(3.00457 - 7.48148i) q^{65} -0.764533 q^{66} +(2.25461 + 3.90510i) q^{67} +(3.52455 + 0.944400i) q^{68} +(-2.93770 + 5.08825i) q^{69} +(-3.20949 + 7.37280i) q^{70} +(0.951809 + 3.55220i) q^{71} +(-3.84827 - 2.22180i) q^{72} -1.64073 q^{73} +(-1.63658 - 0.944883i) q^{74} +(-6.39411 - 12.0501i) q^{75} +(1.64927 - 6.15517i) q^{76} +(-0.712556 + 0.712556i) q^{77} +(9.42488 - 2.81752i) q^{78} +10.3567i q^{79} +(0.252192 + 2.22180i) q^{80} +(-1.29260 - 2.23886i) q^{81} +(-2.19533 - 8.19308i) q^{82} +15.5903i q^{83} +(-9.47687 + 2.53932i) q^{84} +(-1.20941 + 8.06901i) q^{85} +(-8.71427 - 8.71427i) q^{86} +(-1.29126 + 0.345993i) q^{87} +(-0.0725272 + 0.270675i) q^{88} +(-2.67847 - 0.717694i) q^{89} +(3.96590 - 9.11041i) q^{90} +(6.15816 - 11.4101i) q^{91} +(1.52276 + 1.52276i) q^{92} +(-14.7603 + 8.52186i) q^{93} +(4.11318 - 2.37474i) q^{94} +(14.0915 + 2.11208i) q^{95} +(-1.92920 + 1.92920i) q^{96} +(-4.94398 + 8.56322i) q^{97} +(-2.96590 + 5.13709i) q^{98} +(0.880491 - 0.880491i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 16 q + 8 q^{2} - 8 q^{4} - 6 q^{7} - 16 q^{8}+O(q^{10}) \) 16 * q + 8 * q^2 - 8 * q^4 - 6 * q^7 - 16 * q^8	\( 16 q + 8 q^{2} - 8 q^{4} - 6 q^{7} - 16 q^{8} + 6 q^{11} - 6 q^{13} + 6 q^{15} - 8 q^{16} - 2 q^{17} - 6 q^{23} + 14 q^{25} - 6 q^{26} - 12 q^{27} + 6 q^{28} + 6 q^{29} + 6 q^{30} + 8 q^{32} + 26 q^{33} + 14 q^{34} - 24 q^{37} - 6 q^{38} + 6 q^{39} - 44 q^{41} - 6 q^{42} - 6 q^{44} - 54 q^{45} - 6 q^{46} + 2 q^{49} + 22 q^{50} - 24 q^{53} - 6 q^{54} - 26 q^{55} + 6 q^{56} + 64 q^{57} + 6 q^{58} + 46 q^{59} + 6 q^{61} + 12 q^{62} + 16 q^{64} + 24 q^{65} + 52 q^{66} + 32 q^{67} + 16 q^{68} - 58 q^{69} + 6 q^{71} - 16 q^{73} - 24 q^{74} + 64 q^{75} - 6 q^{76} - 58 q^{77} + 6 q^{78} - 24 q^{81} - 10 q^{82} - 6 q^{84} - 16 q^{85} - 20 q^{87} - 6 q^{88} + 24 q^{89} + 18 q^{90} + 38 q^{91} - 6 q^{93} + 14 q^{97} - 2 q^{98} + 26 q^{99}+O(q^{100}) \) 16 * q + 8 * q^2 - 8 * q^4 - 6 * q^7 - 16 * q^8 + 6 * q^11 - 6 * q^13 + 6 * q^15 - 8 * q^16 - 2 * q^17 - 6 * q^23 + 14 * q^25 - 6 * q^26 - 12 * q^27 + 6 * q^28 + 6 * q^29 + 6 * q^30 + 8 * q^32 + 26 * q^33 + 14 * q^34 - 24 * q^37 - 6 * q^38 + 6 * q^39 - 44 * q^41 - 6 * q^42 - 6 * q^44 - 54 * q^45 - 6 * q^46 + 2 * q^49 + 22 * q^50 - 24 * q^53 - 6 * q^54 - 26 * q^55 + 6 * q^56 + 64 * q^57 + 6 * q^58 + 46 * q^59 + 6 * q^61 + 12 * q^62 + 16 * q^64 + 24 * q^65 + 52 * q^66 + 32 * q^67 + 16 * q^68 - 58 * q^69 + 6 * q^71 - 16 * q^73 - 24 * q^74 + 64 * q^75 - 6 * q^76 - 58 * q^77 + 6 * q^78 - 24 * q^81 - 10 * q^82 - 6 * q^84 - 16 * q^85 - 20 * q^87 - 6 * q^88 + 24 * q^89 + 18 * q^90 + 38 * q^91 - 6 * q^93 + 14 * q^97 - 2 * q^98 + 26 * q^99

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