LMFDB - Embedded newform 130.2.p.b.7.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [130,2,Mod(7,130)]

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([3, 11]))

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

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

chi := DirichletCharacter("130.7");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 130 = 2 \cdot 5 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	130.p (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:	$\Z[a_1, \ldots, a_{5}]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			7.4
Root			$2.63533 + 0.706135i$ of defining polynomial
Character	$\chi$	$=$	130.7
Dual form			130.2.p.b.93.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.866025 + 0.500000i) q^{2} +(0.706135 + 2.63533i) q^{3} +(0.500000 + 0.866025i) q^{4} +(0.892496 - 2.05023i) q^{5} +(-0.706135 + 2.63533i) q^{6} +(-1.79804 - 3.11430i) q^{7} +1.00000i q^{8} +(-3.84827 + 2.22180i) q^{9} +O(q^{10})$	\(q+(0.866025 + 0.500000i) q^{2} +(0.706135 + 2.63533i) q^{3} +(0.500000 + 0.866025i) q^{4} +(0.892496 - 2.05023i) q^{5} +(-0.706135 + 2.63533i) q^{6} +(-1.79804 - 3.11430i) q^{7} +1.00000i q^{8} +(-3.84827 + 2.22180i) q^{9} +(1.79804 - 1.32930i) q^{10} +(0.0725272 + 0.270675i) q^{11} +(-1.92920 + 1.92920i) q^{12} +(-3.60407 - 0.103425i) q^{13} -3.59608i q^{14} +(6.03326 + 0.904283i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-3.52455 - 0.944400i) q^{17} -4.44360 q^{18} +(6.15517 + 1.64927i) q^{19} +(2.22180 - 0.252192i) q^{20} +(6.93755 - 6.93755i) q^{21} +(-0.0725272 + 0.270675i) q^{22} +(2.08013 - 0.557369i) 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} +(1.79804 - 3.11430i) q^{28} +(-0.424336 - 0.244991i) q^{29} +(4.77282 + 3.79976i) q^{30} +(4.41731 + 4.41731i) q^{31} +(-0.866025 + 0.500000i) q^{32} +(-0.662105 + 0.382267i) q^{33} +(-2.58015 - 2.58015i) q^{34} +(-7.98978 + 0.906901i) q^{35} +(-3.84827 - 2.22180i) q^{36} +(0.944883 - 1.63658i) 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} +(9.47687 - 2.53932i) q^{42} +(-3.18964 + 11.9039i) q^{43} +(-0.198148 + 0.198148i) q^{44} +(1.12064 + 9.87280i) q^{45} +(2.08013 + 0.557369i) q^{46} -4.74949 q^{47} +(-2.63533 - 0.706135i) q^{48} +(-2.96590 + 5.13709i) q^{49} +(-1.12064 - 4.87280i) q^{50} -9.95523i q^{51} +(-1.71247 - 3.17293i) q^{52} +(6.50365 - 6.50365i) q^{53} +(-1.01938 - 3.80437i) q^{54} +(0.619677 + 0.0928790i) q^{55} +(3.11430 - 1.79804i) q^{56} +17.3855i q^{57} +(-0.244991 - 0.424336i) q^{58} +(3.49599 - 13.0472i) q^{59} +(2.23350 + 5.67710i) q^{60} +(0.444419 + 0.769757i) q^{61} +(1.61685 + 6.03416i) q^{62} +(13.8387 + 7.98978i) q^{63} -1.00000 q^{64} +(-3.42866 + 7.29687i) q^{65} -0.764533 q^{66} +(3.90510 + 2.25461i) q^{67} +(-0.944400 - 3.52455i) q^{68} +(2.93770 + 5.08825i) q^{69} +(-7.37280 - 3.20949i) q^{70} +(0.951809 - 3.55220i) q^{71} +(-2.22180 - 3.84827i) q^{72} +1.64073i q^{73} +(1.63658 - 0.944883i) q^{74} +(7.23866 - 11.5625i) q^{75} +(1.64927 + 6.15517i) q^{76} +(0.712556 - 0.712556i) q^{77} +(2.81752 - 9.42488i) q^{78} +10.3567i q^{79} +(1.32930 + 1.79804i) q^{80} +(-1.29260 + 2.23886i) q^{81} +(-8.19308 - 2.19533i) q^{82} -15.5903 q^{83} +(9.47687 + 2.53932i) q^{84} +(-5.08188 + 6.38327i) q^{85} +(-8.71427 + 8.71427i) q^{86} +(0.345993 - 1.29126i) q^{87} +(-0.270675 + 0.0725272i) 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} +(-8.52186 + 14.7603i) q^{93} +(-4.11318 - 2.37474i) q^{94} +(8.87486 - 11.1476i) q^{95} +(-1.92920 - 1.92920i) q^{96} +(8.56322 - 4.94398i) q^{97} +(-5.13709 + 2.96590i) q^{98} +(-0.880491 - 0.880491i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 16 q + 8 q^{4} - 2 q^{5}+O(q^{10}) $ 16 * q + 8 * q^4 - 2 * q^5	$ 16 q + 8 q^{4} - 2 q^{5} + 6 q^{11} + 2 q^{13} + 6 q^{15} - 8 q^{16} - 16 q^{17} - 16 q^{18} + 8 q^{20} - 6 q^{22} - 6 q^{23} - 14 q^{25} - 6 q^{26} - 12 q^{27} - 6 q^{29} + 6 q^{30} - 6 q^{33} - 14 q^{34} - 20 q^{37} + 6 q^{38} - 6 q^{39} - 44 q^{41} + 6 q^{42} + 6 q^{44} - 6 q^{46} + 52 q^{47} - 2 q^{49} + 10 q^{52} - 24 q^{53} + 6 q^{54} + 64 q^{55} + 6 q^{56} + 8 q^{58} - 46 q^{59} + 6 q^{61} + 12 q^{62} + 90 q^{63} - 16 q^{64} - 22 q^{65} + 52 q^{66} + 12 q^{67} - 2 q^{68} + 58 q^{69} - 32 q^{70} + 6 q^{71} - 8 q^{72} + 24 q^{74} + 44 q^{75} - 6 q^{76} + 58 q^{77} + 38 q^{78} + 10 q^{80} - 24 q^{81} - 44 q^{82} - 64 q^{83} + 6 q^{84} + 40 q^{85} - 44 q^{87} - 24 q^{89} - 18 q^{90} + 38 q^{91} - 26 q^{93} - 6 q^{95} - 6 q^{97} - 26 q^{99}+O(q^{100}) $ 16 * q + 8 * q^4 - 2 * q^5 + 6 * q^11 + 2 * q^13 + 6 * q^15 - 8 * q^16 - 16 * q^17 - 16 * q^18 + 8 * q^20 - 6 * q^22 - 6 * q^23 - 14 * q^25 - 6 * q^26 - 12 * q^27 - 6 * q^29 + 6 * q^30 - 6 * q^33 - 14 * q^34 - 20 * q^37 + 6 * q^38 - 6 * q^39 - 44 * q^41 + 6 * q^42 + 6 * q^44 - 6 * q^46 + 52 * q^47 - 2 * q^49 + 10 * q^52 - 24 * q^53 + 6 * q^54 + 64 * q^55 + 6 * q^56 + 8 * q^58 - 46 * q^59 + 6 * q^61 + 12 * q^62 + 90 * q^63 - 16 * q^64 - 22 * q^65 + 52 * q^66 + 12 * q^67 - 2 * q^68 + 58 * q^69 - 32 * q^70 + 6 * q^71 - 8 * q^72 + 24 * q^74 + 44 * q^75 - 6 * q^76 + 58 * q^77 + 38 * q^78 + 10 * q^80 - 24 * q^81 - 44 * q^82 - 64 * q^83 + 6 * q^84 + 40 * q^85 - 44 * q^87 - 24 * q^89 - 18 * q^90 + 38 * q^91 - 26 * q^93 - 6 * q^95 - 6 * q^97 - 26 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$27$	$41$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{11}{12}\right)$

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 $

$2$	0.866025	+	0.500000i	0.612372	+	0.353553i
$2$	0.866025	+	0.500000i	0.612372	+	0.353553i
$3$	0.706135	+	2.63533i	0.407687	+	1.52151i	0.799045	+	0.601271i	$0.205339\pi$
$3$	0.706135	+	2.63533i	0.407687	+	1.52151i	−0.391358	+	0.920239i	$0.627995\pi$
$4$	0.500000	+	0.866025i	0.250000	+	0.433013i
$5$	0.892496	−	2.05023i	0.399136	−	0.916892i
$5$	0.892496	−	2.05023i	0.399136	−	0.916892i
$6$	−0.706135	+	2.63533i	−0.288278	+	1.07587i
$7$	−1.79804	−	3.11430i	−0.679595	−	1.17709i	−0.975103	−	0.221753i	$-0.928822\pi$
$7$	−1.79804	−	3.11430i	−0.679595	−	1.17709i	0.295507	−	0.955340i	$-0.404511\pi$
$8$			1.00000i			0.353553i
$9$	−3.84827	+	2.22180i	−1.28276	+	0.740600i
$10$	1.79804	−	1.32930i	0.568590	−	0.420363i
$11$	0.0725272	+	0.270675i	0.0218678	+	0.0816117i	0.975997	−	0.217782i	$-0.0698822\pi$
$11$	0.0725272	+	0.270675i	0.0218678	+	0.0816117i	−0.954130	+	0.299394i	$0.903216\pi$
$12$	−1.92920	+	1.92920i	−0.556911	+	0.556911i
$13$	−3.60407	−	0.103425i	−0.999589	−	0.0286849i
$13$	−3.60407	−	0.103425i	−0.999589	−	0.0286849i
$14$		−	3.59608i		−	0.961093i
$15$	6.03326	+	0.904283i	1.55778	+	0.233485i
$16$	−0.500000	+	0.866025i	−0.125000	+	0.216506i
$17$	−3.52455	−	0.944400i	−0.854828	−	0.229051i	−0.195312	−	0.980741i	$-0.562572\pi$
$17$	−3.52455	−	0.944400i	−0.854828	−	0.229051i	−0.659516	+	0.751691i	$0.729239\pi$
$18$	−4.44360			−1.04737
$19$	6.15517	+	1.64927i	1.41209	+	0.378369i	0.882672	−	0.469990i	$-0.155742\pi$
$19$	6.15517	+	1.64927i	1.41209	+	0.378369i	0.529422	+	0.848359i	$0.322409\pi$
$20$	2.22180	−	0.252192i	0.496810	−	0.0563917i
$21$	6.93755	−	6.93755i	1.51390	−	1.51390i
$22$	−0.0725272	+	0.270675i	−0.0154629	+	0.0577082i
$23$	2.08013	−	0.557369i	0.433737	−	0.116219i	−0.0353430	−	0.999375i	$-0.511252\pi$
$23$	2.08013	−	0.557369i	0.433737	−	0.116219i	0.469080	+	0.883156i	$0.344586\pi$
$24$	−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
$28$	1.79804	−	3.11430i	0.339798	−	0.588547i
$29$	−0.424336	−	0.244991i	−0.0787972	−	0.0454936i	0.460084	−	0.887876i	$-0.347819\pi$
$29$	−0.424336	−	0.244991i	−0.0787972	−	0.0454936i	−0.538881	+	0.842382i	$0.681153\pi$
$30$	4.77282	+	3.79976i	0.871394	+	0.693739i
$31$	4.41731	+	4.41731i	0.793372	+	0.793372i	0.982041	−	0.188668i	$-0.0604172\pi$
$31$	4.41731	+	4.41731i	0.793372	+	0.793372i	−0.188668	+	0.982041i	$0.560417\pi$
$32$	−0.866025	+	0.500000i	−0.153093	+	0.0883883i
$33$	−0.662105	+	0.382267i	−0.115258	+	0.0665441i
$34$	−2.58015	−	2.58015i	−0.442492	−	0.442492i
$35$	−7.98978	+	0.906901i	−1.35052	+	0.153294i
$36$	−3.84827	−	2.22180i	−0.641379	−	0.370300i
$37$	0.944883	−	1.63658i	0.155338	−	0.269053i	−0.777844	−	0.628457i	$-0.783687\pi$
$37$	0.944883	−	1.63658i	0.155338	−	0.269053i	0.933182	+	0.359404i	$0.117020\pi$
$38$	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	−0.833680	−	0.552248i	$-0.813770\pi$
$41$	−8.19308	+	2.19533i	−1.27954	+	0.342853i	−0.445864	+	0.895100i	$0.647104\pi$
$42$	9.47687	−	2.53932i	1.46231	−	0.391825i
$43$	−3.18964	+	11.9039i	−0.486416	+	1.81533i	0.0871824	+	0.996192i	$0.472214\pi$
$43$	−3.18964	+	11.9039i	−0.486416	+	1.81533i	−0.573598	+	0.819137i	$0.694453\pi$
$44$	−0.198148	+	0.198148i	−0.0298719	+	0.0298719i
$45$	1.12064	+	9.87280i	0.167055	+	1.47175i
$46$	2.08013	+	0.557369i	0.306698	+	0.0821795i
$47$	−4.74949			−0.692784			−0.346392	−	0.938090i	$-0.612593\pi$
$47$	−4.74949			−0.692784			−0.346392	+	0.938090i	$0.612593\pi$
$48$	−2.63533	−	0.706135i	−0.380377	−	0.101922i
$49$	−2.96590	+	5.13709i	−0.423700	+	0.733869i
$50$	−1.12064	−	4.87280i	−0.158482	−	0.689118i
$51$		−	9.95523i		−	1.39401i
$52$	−1.71247	−	3.17293i	−0.237476	−	0.440006i
$53$	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
$55$	0.619677	+	0.0928790i	0.0835573	+	0.0125238i
$56$	3.11430	−	1.79804i	0.416165	−	0.240273i
$57$			17.3855i			2.30277i
$58$	−0.244991	−	0.424336i	−0.0321688	−	0.0557181i
$59$	3.49599	−	13.0472i	0.455140	−	1.69860i	−0.232537	−	0.972588i	$-0.574703\pi$
$59$	3.49599	−	13.0472i	0.455140	−	1.69860i	0.687677	−	0.726017i	$-0.258631\pi$
$60$	2.23350	+	5.67710i	0.288344	+	0.732911i
$61$	0.444419	+	0.769757i	0.0569021	+	0.0985573i	0.893073	−	0.449911i	$-0.148544\pi$
$61$	0.444419	+	0.769757i	0.0569021	+	0.0985573i	−0.836171	+	0.548469i	$0.815211\pi$
$62$	1.61685	+	6.03416i	0.205340	+	0.766339i
$63$	13.8387	+	7.98978i	1.74351	+	1.00662i
$64$	−1.00000			−0.125000
$65$	−3.42866	+	7.29687i	−0.425273	+	0.905065i
$66$	−0.764533			−0.0941075
$67$	3.90510	+	2.25461i	0.477085	+	0.275445i	0.719201	−	0.694802i	$-0.244508\pi$
$67$	3.90510	+	2.25461i	0.477085	+	0.275445i	−0.242116	+	0.970247i	$0.577842\pi$
$68$	−0.944400	−	3.52455i	−0.114525	−	0.427414i
$69$	2.93770	+	5.08825i	0.353658	+	0.612553i
$70$	−7.37280	−	3.20949i	−0.881218	−	0.383607i
$71$	0.951809	−	3.55220i	0.112959	−	0.421568i	−0.886167	−	0.463366i	$-0.846642\pi$
$71$	0.951809	−	3.55220i	0.112959	−	0.421568i	0.999126	+	0.0417972i	$0.0133083\pi$
$72$	−2.22180	−	3.84827i	−0.261842	−	0.453523i
$73$			1.64073i			0.192033i	0.995380	+	0.0960165i	$0.0306101\pi$
$73$			1.64073i			0.192033i	−0.995380	+	0.0960165i	$0.969390\pi$
$74$	1.63658	−	0.944883i	0.190249	−	0.109840i
$75$	7.23866	−	11.5625i	0.835848	−	1.33513i
$76$	1.64927	+	6.15517i	0.189185	+	0.706047i
$77$	0.712556	−	0.712556i	0.0812033	−	0.0812033i
$78$	2.81752	−	9.42488i	0.319021	−	1.06716i
$79$			10.3567i			1.16522i	0.812751	+	0.582611i	$0.197969\pi$
$79$			10.3567i			1.16522i	−0.812751	+	0.582611i	$0.802031\pi$
$80$	1.32930	+	1.79804i	0.148621	+	0.201027i
$81$	−1.29260	+	2.23886i	−0.143623	+	0.248762i
$82$	−8.19308	−	2.19533i	−0.904775	−	0.242434i
$83$	−15.5903			−1.71125			−0.855627	−	0.517593i	$-0.826828\pi$
$83$	−15.5903			−1.71125			−0.855627	+	0.517593i	$0.826828\pi$
$84$	9.47687	+	2.53932i	1.03401	+	0.277062i
$85$	−5.08188	+	6.38327i	−0.551208	+	0.692362i
$86$	−8.71427	+	8.71427i	−0.939683	+	0.939683i
$87$	0.345993	−	1.29126i	0.0370943	−	0.138438i
$88$	−0.270675	+	0.0725272i	−0.0288541	+	0.00773143i
$89$	2.67847	−	0.717694i	0.283917	−	0.0760754i	−0.114050	−	0.993475i	$-0.536382\pi$
$89$	2.67847	−	0.717694i	0.283917	−	0.0760754i	0.397967	+	0.917400i	$0.369716\pi$
$90$	−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
$93$	−8.52186	+	14.7603i	−0.883676	+	1.53057i
$94$	−4.11318	−	2.37474i	−0.424242	−	0.244936i
$95$	8.87486	−	11.1476i	0.910542	−	1.14372i
$96$	−1.92920	−	1.92920i	−0.196898	−	0.196898i
$97$	8.56322	−	4.94398i	0.869463	−	0.501985i	0.00229342	−	0.999997i	$-0.499270\pi$
$97$	8.56322	−	4.94398i	0.869463	−	0.501985i	0.867170	+	0.498013i	$0.165937\pi$
$98$	−5.13709	+	2.96590i	−0.518924	+	0.299601i
$99$	−0.880491	−	0.880491i	−0.0884927	−	0.0884927i
$100$	1.46590	−	4.78029i	0.146590	−	0.478029i
$101$	−7.01169	−	4.04820i	−0.697689	−	0.402811i	0.108797	−	0.994064i	$-0.465300\pi$
$101$	−7.01169	−	4.04820i	−0.697689	−	0.402811i	−0.806486	+	0.591253i	$0.798633\pi$
$102$	4.97761	−	8.62148i	0.492857	−	0.853654i
$103$	−5.90126	−	5.90126i	−0.581468	−	0.581468i	0.353838	−	0.935307i	$-0.384876\pi$
$103$	−5.90126	−	5.90126i	−0.581468	−	0.581468i	−0.935307	+	0.353838i	$0.884876\pi$
$104$	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
$107$	−3.10786	+	0.832749i	−0.300448	+	0.0805049i	−0.405894	−	0.913920i	$-0.633040\pi$
$107$	−3.10786	+	0.832749i	−0.300448	+	0.0805049i	0.105446	+	0.994425i	$0.466373\pi$
$108$	1.01938	−	3.80437i	0.0980897	−	0.366076i
$109$	6.87889	−	6.87889i	0.658879	−	0.658879i	−0.296236	−	0.955115i	$-0.595732\pi$
$109$	6.87889	−	6.87889i	0.658879	−	0.658879i	0.955115	+	0.296236i	$0.0957316\pi$
$110$	0.490217	+	0.390274i	0.0467403	+	0.0372112i
$111$	4.98016	+	1.33443i	0.472696	+	0.126658i
$112$	3.59608			0.339798
$113$	8.01391	+	2.14732i	0.753885	+	0.202003i	0.615241	−	0.788339i	$-0.289059\pi$
$113$	8.01391	+	2.14732i	0.753885	+	0.202003i	0.138644	+	0.990342i	$0.455725\pi$
$114$	−8.69277	+	15.0563i	−0.814152	+	1.41015i
$115$	0.713771	−	4.76219i	0.0665595	−	0.444077i
$116$		−	0.489981i		−	0.0454936i
$117$	14.0992	−	7.60951i	1.30347	−	0.703500i
$118$	9.55123	−	9.55123i	0.879262	−	0.879262i
$119$	3.39614	+	12.6746i	0.311323	+	1.16187i
$120$	−0.904283	+	6.03326i	−0.0825494	+	0.550759i
$121$	9.45827	−	5.46074i	0.859843	−	0.496431i
$122$			0.888839i			0.0804717i
$123$	−11.5708	−	20.0413i	−1.04331	−	1.80706i
$124$	−1.61685	+	6.03416i	−0.145197	+	0.541883i
$125$	−10.5438	+	3.71872i	−0.943064	+	0.332612i
$126$	7.98978	+	13.8387i	0.711786	+	1.23285i
$127$	1.97065	+	7.35455i	0.174866	+	0.652611i	0.996574	+	0.0827017i	$0.0263549\pi$
$127$	1.97065	+	7.35455i	0.174866	+	0.652611i	−0.821708	+	0.569909i	$0.806978\pi$
$128$	−0.866025	−	0.500000i	−0.0765466	−	0.0441942i
$129$	−33.6231			−2.96035
$130$	−6.61774	+	4.60494i	−0.580414	+	0.403880i
$131$	0.476900			0.0416669			0.0208335	−	0.999783i	$-0.493368\pi$
$131$	0.476900			0.0416669			0.0208335	+	0.999783i	$0.493368\pi$
$132$	−0.662105	−	0.382267i	−0.0576289	−	0.0332720i
$133$	−5.93092	−	22.1345i	−0.514276	−	1.91930i
$134$	2.25461	+	3.90510i	0.194769	+	0.337350i
$135$	−8.19548	+	3.22428i	−0.705354	+	0.277502i
$136$	0.944400	−	3.52455i	0.0809816	−	0.302227i
$137$	−0.779967	−	1.35094i	−0.0666371	−	0.115419i	0.830782	−	0.556598i	$-0.187894\pi$
$137$	−0.779967	−	1.35094i	−0.0666371	−	0.115419i	−0.897419	+	0.441179i	$0.854560\pi$
$138$			5.87540i			0.500148i
$139$	1.78386	−	1.02991i	0.151305	−	0.0873560i	−0.422436	−	0.906393i	$-0.638825\pi$
$139$	1.78386	−	1.02991i	0.151305	−	0.0873560i	0.573741	+	0.819037i	$0.305492\pi$
$140$	−4.78029	−	6.46590i	−0.404008	−	0.546468i
$141$	−3.35378	−	12.5165i	−0.282439	−	1.05408i
$142$	2.60039	−	2.60039i	0.218220	−	0.218220i
$143$	−0.233398	−	0.983033i	−0.0195178	−	0.0822054i
$144$		−	4.44360i		−	0.370300i
$145$	−0.881006	+	0.651334i	−0.0731635	+	0.0540904i
$146$	−0.820365	+	1.42091i	−0.0678939	+	0.117596i
$147$	−15.6323	−	4.18865i	−1.28933	−	0.345474i
$148$	1.88977			0.155338
$149$	10.8717	+	2.91307i	0.890647	+	0.238648i	0.674995	−	0.737822i	$-0.264146\pi$
$149$	10.8717	+	2.91307i	0.890647	+	0.238648i	0.215652	+	0.976470i	$0.430812\pi$
$150$	12.0501	−	6.39411i	0.983888	−	0.522077i
$151$	−2.34643	+	2.34643i	−0.190950	+	0.190950i	−0.796106	−	0.605157i	$-0.793110\pi$
$151$	−2.34643	+	2.34643i	−0.190950	+	0.190950i	0.605157	+	0.796106i	$0.293110\pi$
$152$	−1.64927	+	6.15517i	−0.133774	+	0.499250i
$153$	15.6617	−	4.19654i	1.26617	−	0.339270i
$154$	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	$0.845025\pi$
$158$	−5.17836	+	8.96919i	−0.411968	+	0.713550i
$159$	21.7317	+	12.5468i	1.72344	+	0.995028i
$160$	0.252192	+	2.22180i	0.0199375	+	0.175649i
$161$	−5.47596	−	5.47596i	−0.431566	−	0.431566i
$162$	−2.23886	+	1.29260i	−0.175901	+	0.101557i
$163$	6.95501	−	4.01548i	0.544759	−	0.314517i	−0.202247	−	0.979335i	$-0.564824\pi$
$163$	6.95501	−	4.01548i	0.544759	−	0.314517i	0.747005	+	0.664818i	$0.231491\pi$
$164$	−5.99775	−	5.99775i	−0.468346	−	0.468346i
$165$	0.192809	+	1.69864i	0.0150101	+	0.132239i
$166$	−13.5016	−	7.79513i	−1.04792	−	0.605019i
$167$	−8.30703	+	14.3882i	−0.642817	+	1.11339i	0.341984	+	0.939706i	$0.388901\pi$
$167$	−8.30703	+	14.3882i	−0.642817	+	1.11339i	−0.984801	+	0.173686i	$0.944432\pi$
$168$	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
$172$	−11.9039	+	3.18964i	−0.907665	+	0.243208i
$173$	3.27898	−	12.2373i	0.249296	−	0.930386i	−0.721879	−	0.692019i	$-0.756721\pi$
$173$	3.27898	−	12.2373i	0.249296	−	0.930386i	0.971175	−	0.238367i	$-0.0766120\pi$
$174$	0.945270	−	0.945270i	0.0716607	−	0.0716607i
$175$	−5.27149	+	17.1903i	−0.398487	+	1.29946i
$176$	−0.270675	−	0.0725272i	−0.0204029	−	0.00546695i
$177$	36.8524			2.77000
$178$	2.67847	+	0.717694i	0.200760	+	0.0537934i
$179$	−0.973054	+	1.68538i	−0.0727295	+	0.125971i	−0.900097	−	0.435690i	$-0.856504\pi$
$179$	−0.973054	+	1.68538i	−0.0727295	+	0.125971i	0.827367	+	0.561661i	$0.189838\pi$
$180$	−7.98978	+	5.90690i	−0.595523	+	0.440274i
$181$			14.6549i			1.08929i	0.838667	+	0.544644i	$0.183335\pi$
$181$			14.6549i			1.08929i	−0.838667	+	0.544644i	$0.816665\pi$
$182$	−0.371925	+	12.9605i	−0.0275689	+	0.960697i
$183$	−1.71475	+	1.71475i	−0.126758	+	0.126758i
$184$	0.557369	+	2.08013i	0.0410898	+	0.153349i
$185$	−2.51207	−	3.39787i	−0.184691	−	0.249817i
$186$	−14.7603	+	8.52186i	−1.08228	+	0.624853i
$187$		−	1.02250i		−	0.0747728i
$188$	−2.37474	−	4.11318i	−0.173196	−	0.299984i
$189$	−3.66577	+	13.6808i	−0.266645	+	0.995133i
$190$	13.2596	−	5.21664i	0.961955	−	0.378455i
$191$	0.296843	+	0.514146i	0.0214788	+	0.0372023i	0.876565	−	0.481283i	$-0.159829\pi$
$191$	0.296843	+	0.514146i	0.0214788	+	0.0372023i	−0.855086	+	0.518486i	$0.826496\pi$
$192$	−0.706135	−	2.63533i	−0.0509609	−	0.190189i
$193$	23.3830	+	13.5002i	1.68315	+	0.971765i	0.959549	+	0.281543i	$0.0908460\pi$
$193$	23.3830	+	13.5002i	1.68315	+	0.971765i	0.723597	+	0.690222i	$0.242487\pi$
$194$	9.88795			0.709914
$195$	−21.6508	−	3.88309i	−1.55044	−	0.278074i
$196$	−5.93180			−0.423700
$197$	−4.13593	−	2.38788i	−0.294673	−	0.170129i	0.345375	−	0.938465i	$-0.387752\pi$
$197$	−4.13593	−	2.38788i	−0.294673	−	0.170129i	−0.640047	+	0.768336i	$0.721085\pi$
$198$	−0.322282	−	1.20277i	−0.0229036	−	0.0854774i
$199$	2.38884	+	4.13759i	0.169340	+	0.293306i	0.938188	−	0.346126i	$-0.112503\pi$
$199$	2.38884	+	4.13759i	0.169340	+	0.293306i	−0.768848	+	0.639432i	$0.779170\pi$
$200$	3.65965	−	3.40690i	0.258776	−	0.240904i
$201$	−3.18412	+	11.8833i	−0.224591	+	0.838184i
$202$	−4.04820	−	7.01169i	−0.284830	−	0.493341i
$203$			1.76201i			0.123669i
$204$	8.62148	−	4.97761i	0.603624	−	0.348503i
$205$	−2.81136	+	18.7570i	−0.196354	+	1.31005i
$206$	−2.16001	−	8.06127i	−0.150495	−	0.561655i
$207$	−6.76654	+	6.76654i	−0.470307	+	0.470307i
$208$	1.89160	−	3.06950i	0.131159	−	0.212832i
$209$			1.78567i			0.123517i
$210$	3.25188	−	21.6961i	0.224401	−	1.49717i
$211$	−2.97543	+	5.15360i	−0.204837	+	0.354789i	−0.950081	−	0.312004i	$-0.899000\pi$
$211$	−2.97543	+	5.15360i	−0.204837	+	0.354789i	0.745244	+	0.666792i	$0.232333\pi$
$212$	8.88416	+	2.38050i	0.610166	+	0.163494i
$213$	10.0333			0.687472
$214$	−3.10786	−	0.832749i	−0.212449	−	0.0569256i
$215$	21.5590	+	17.1637i	1.47031	+	1.17055i
$216$	2.78499	−	2.78499i	0.189495	−	0.189495i
$217$	5.81432	−	21.6993i	0.394701	−	1.47305i
$218$	9.39674	−	2.51785i	0.636428	−	0.170530i
$219$	−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
$223$	5.45066	−	9.44083i	0.365003	−	0.632204i	−0.623773	−	0.781605i	$-0.714401\pi$
$223$	5.45066	−	9.44083i	0.365003	−	0.632204i	0.988777	+	0.149401i	$0.0477345\pi$
$224$	3.11430	+	1.79804i	0.208083	+	0.120137i
$225$	21.2417	+	6.51387i	1.41611	+	0.434258i
$226$	5.86659	+	5.86659i	0.390240	+	0.390240i
$227$	20.0676	−	11.5860i	1.33193	−	0.768991i	0.346336	−	0.938111i	$-0.387426\pi$
$227$	20.0676	−	11.5860i	1.33193	−	0.768991i	0.985596	+	0.169120i	$0.0540925\pi$
$228$	−15.0563	+	8.69277i	−0.997129	+	0.575693i
$229$	−11.9365	−	11.9365i	−0.788789	−	0.788789i	0.192507	−	0.981296i	$-0.438338\pi$
$229$	−11.9365	−	11.9365i	−0.788789	−	0.788789i	−0.981296	+	0.192507i	$0.938338\pi$
$230$	2.99924	−	3.76729i	0.197764	−	0.248408i
$231$	2.38098	+	1.37466i	0.156657	+	0.0904461i
$232$	0.244991	−	0.424336i	0.0160844	−	0.0278590i
$233$	−0.143135	−	0.143135i	−0.00937708	−	0.00937708i	0.702403	−	0.711780i	$-0.252111\pi$
$233$	−0.143135	−	0.143135i	−0.00937708	−	0.00937708i	−0.711780	+	0.702403i	$0.752111\pi$
$234$	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
$237$	−27.2934	+	7.31325i	−1.77290	+	0.475046i
$238$	−3.39614	+	12.6746i	−0.220139	+	0.821569i
$239$	11.3312	−	11.3312i	0.732954	−	0.732954i	−0.238250	−	0.971204i	$-0.576574\pi$
$239$	11.3312	−	11.3312i	0.732954	−	0.732954i	0.971204	+	0.238250i	$0.0765737\pi$
$240$	−3.79976	+	4.77282i	−0.245274	+	0.308084i
$241$	−17.9773	−	4.81701i	−1.15802	−	0.310291i	−0.371846	−	0.928294i	$-0.621275\pi$
$241$	−17.9773	−	4.81701i	−1.15802	−	0.310291i	−0.786175	+	0.618003i	$0.787942\pi$
$242$	10.9215			0.702059
$243$	−18.2260	−	4.88364i	−1.16920	−	0.313286i
$244$	−0.444419	+	0.769757i	−0.0284510	+	0.0492786i
$245$	7.88516	+	10.6656i	0.503765	+	0.681401i
$246$		−	23.1417i		−	1.47546i
$247$	−22.0131	−	6.58069i	−1.40066	−	0.418719i
$248$	−4.41731	+	4.41731i	−0.280499	+	0.280499i
$249$	−11.0088	−	41.0855i	−0.697656	−	2.60369i
$250$	−10.9905	−	2.05139i	−0.695102	−	0.129741i
$251$	−0.134294	+	0.0775347i	−0.00847656	+	0.00489395i	−0.504232	−	0.863568i	$-0.668224\pi$
$251$	−0.134294	+	0.0775347i	−0.00847656	+	0.00489395i	0.495756	+	0.868462i	$0.334891\pi$
$252$			15.9796i			1.00662i
$253$	0.301732	+	0.522615i	0.0189697	+	0.0328565i
$254$	−1.97065	+	7.35455i	−0.123649	+	0.461465i
$255$	−20.4105	−	8.88500i	−1.27816	−	0.556400i
$256$	−0.500000	−	0.866025i	−0.0312500	−	0.0541266i
$257$	3.00195	+	11.2034i	0.187257	+	0.698851i	0.994136	+	0.108135i	$0.0344879\pi$
$257$	3.00195	+	11.2034i	0.187257	+	0.698851i	−0.806880	+	0.590716i	$0.798845\pi$
$258$	−29.1184	−	16.8115i	−1.81283	−	1.04664i
$259$	−6.79575			−0.422267
$260$	−8.03360	+	0.679126i	−0.498223	+	0.0421176i
$261$	2.17728			0.134770
$262$	0.413007	+	0.238450i	0.0255157	+	0.0147315i
$263$	2.54935	+	9.51431i	0.157200	+	0.586678i	0.998907	+	0.0467433i	$0.0148843\pi$
$263$	2.54935	+	9.51431i	0.157200	+	0.586678i	−0.841707	+	0.539934i	$0.818449\pi$
$264$	−0.382267	−	0.662105i	−0.0235269	−	0.0407498i
$265$	−7.52951	−	19.1385i	−0.462534	−	1.17567i
$266$	5.93092	−	22.1345i	0.363648	−	1.35715i
$267$	3.78272	+	6.55187i	0.231499	+	0.400968i
$268$			4.50923i			0.275445i
$269$	−12.7339	+	7.35193i	−0.776401	+	0.448255i	−0.835153	−	0.550017i	$-0.814621\pi$
$269$	−12.7339	+	7.35193i	−0.776401	+	0.448255i	0.0587526	+	0.998273i	$0.481288\pi$
$270$	−8.70963	−	1.30542i	−0.530051	−	0.0794456i
$271$	−2.43773	−	9.09773i	−0.148081	−	0.552648i	−0.999599	−	0.0283212i	$-0.990984\pi$
$271$	−2.43773	−	9.09773i	−0.148081	−	0.552648i	0.851517	−	0.524326i	$-0.175683\pi$
$272$	2.58015	−	2.58015i	0.156444	−	0.156444i
$273$	−25.7209	+	24.2859i	−1.55670	+	1.46985i
$274$		−	1.55993i		−	0.0942391i
$275$	0.743483	−	1.18759i	0.0448337	−	0.0716143i
$276$	−2.93770	+	5.08825i	−0.176829	+	0.306277i
$277$	−20.0613	−	5.37542i	−1.20537	−	0.322978i	−0.400426	−	0.916329i	$-0.631138\pi$
$277$	−20.0613	−	5.37542i	−1.20537	−	0.322978i	−0.804944	+	0.593351i	$0.797804\pi$
$278$	2.05982			0.123540
$279$	−26.8134	−	7.18463i	−1.60528	−	0.430132i
$280$	−0.906901	−	7.98978i	−0.0541977	−	0.477480i
$281$	0.0348322	−	0.0348322i	0.00207791	−	0.00207791i	−0.706067	−	0.708145i	$-0.749532\pi$
$281$	0.0348322	−	0.0348322i	0.00207791	−	0.00207791i	0.708145	+	0.706067i	$0.249532\pi$
$282$	3.35378	−	12.5165i	0.199715	−	0.745345i
$283$	11.6974	−	3.13430i	0.695335	−	0.186315i	0.106195	−	0.994345i	$-0.466133\pi$
$283$	11.6974	−	3.13430i	0.695335	−	0.186315i	0.589140	+	0.808031i	$0.299467\pi$
$284$	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
$288$	2.22180	−	3.84827i	0.130921	−	0.226762i
$289$	−3.19189	−	1.84284i	−0.187758	−	0.108402i
$290$	−1.08864	+	0.123569i	−0.0639272	+	0.00725623i
$291$	19.0758	+	19.0758i	1.11824	+	1.11824i
$292$	−1.42091	+	0.820365i	−0.0831527	+	0.0480082i
$293$	0.508367	−	0.293506i	0.0296991	−	0.0171468i	−0.485077	−	0.874471i	$-0.661208\pi$
$293$	0.508367	−	0.293506i	0.0296991	−	0.0171468i	0.514776	+	0.857325i	$0.327875\pi$
$294$	−11.4436	−	11.4436i	−0.667404	−	0.667404i
$295$	−23.6297	−	18.8122i	−1.37577	−	1.09529i
$296$	1.63658	+	0.944883i	0.0951246	+	0.0549202i
$297$	0.551841	−	0.955816i	0.0320211	−	0.0554621i
$298$	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
$302$	−3.20528	+	0.858853i	−0.184443	+	0.0494215i
$303$	5.71715	−	21.3367i	0.328442	−	1.22576i
$304$	−4.50590	+	4.50590i	−0.258431	+	0.258431i
$305$	1.97482	−	0.224158i	0.113078	−	0.0128352i
$306$	15.6617	+	4.19654i	0.895319	+	0.239900i
$307$	−15.4835			−0.883687			−0.441844	−	0.897092i	$-0.645675\pi$
$307$	−15.4835			−0.883687			−0.441844	+	0.897092i	$0.645675\pi$
$308$	0.973370	+	0.260814i	0.0554629	+	0.0148612i
$309$	11.3847	−	19.7189i	0.647652	−	1.12177i
$310$	13.8145	+	2.07055i	0.784608	+	0.117599i
$311$		−	7.94533i		−	0.450538i	−0.974297	−	0.225269i	$-0.927674\pi$
$311$		−	7.94533i		−	0.450538i	0.974297	−	0.225269i	$-0.0723262\pi$
$312$	9.57095	−	2.27240i	0.541848	−	0.128649i
$313$	−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
$315$	28.7319	−	21.2417i	1.61886	−	1.19683i
$316$	−8.96919	+	5.17836i	−0.504556	+	0.291306i
$317$		−	23.4748i		−	1.31847i	−0.751935	−	0.659237i	$-0.770879\pi$
$317$		−	23.4748i		−	1.31847i	0.751935	−	0.659237i	$-0.229121\pi$
$318$	12.5468	+	21.7317i	0.703591	+	1.21866i
$319$	0.0355370	−	0.132626i	0.00198969	−	0.00742562i
$320$	−0.892496	+	2.05023i	−0.0498921	+	0.114611i
$321$	−4.38914	−	7.60222i	−0.244978	−	0.424314i
$322$	−2.00434	−	7.48031i	−0.111698	−	0.416861i
$323$	−20.1366	−	11.6259i	−1.12043	−	0.646882i
$324$	−2.58521			−0.143623
$325$	11.9002	+	13.5420i	0.660104	+	0.751174i
$326$	8.03096			0.444794
$327$	22.9856	+	13.2707i	1.27111	+	0.733874i
$328$	−2.19533	−	8.19308i	−0.121217	−	0.452387i
$329$	8.53977	+	14.7913i	0.470813	+	0.815471i
$330$	−0.682343	+	1.56747i	−0.0375617	+	0.0862864i
$331$	−2.09861	+	7.83213i	−0.115350	+	0.430493i	−0.999313	−	0.0370646i	$-0.988199\pi$
$331$	−2.09861	+	7.83213i	−0.115350	+	0.430493i	0.883963	+	0.467558i	$0.154866\pi$
$332$	−7.79513	−	13.5016i	−0.427813	−	0.740994i
$333$			8.39736i			0.460173i
$334$	−14.3882	+	8.30703i	−0.787287	+	0.454540i
$335$	8.10777	−	5.99414i	0.442975	−	0.327495i
$336$	2.53932	+	9.47687i	0.138531	+	0.517005i
$337$	25.8990	−	25.8990i	1.41081	−	1.41081i	0.656373	−	0.754437i	$-0.272090\pi$
$337$	25.8990	−	25.8990i	1.41081	−	1.41081i	0.754437	−	0.656373i	$-0.227910\pi$
$338$	10.8671	+	7.13493i	0.591090	+	0.388089i
$339$			22.6356i			1.22940i
$340$	−8.06901	−	1.20941i	−0.437604	−	0.0655893i
$341$	−0.875282	+	1.51603i	−0.0473992	+	0.0820977i
$342$	−27.3511	−	7.32872i	−1.47898	−	0.396292i
$343$	−3.84135			−0.207413
$344$	−11.9039	−	3.18964i	−0.641816	−	0.171974i
$345$	13.0540	−	1.48173i	0.702803	−	0.0797735i
$346$	8.95834	−	8.95834i	0.481603	−	0.481603i
$347$	−5.29120	+	19.7470i	−0.284047	+	1.06008i	0.665486	+	0.746410i	$0.268224\pi$
$347$	−5.29120	+	19.7470i	−0.284047	+	1.06008i	−0.949533	+	0.313667i	$0.898443\pi$
$348$	1.29126	−	0.345993i	0.0692190	−	0.0185472i
$349$	−15.7176	+	4.21153i	−0.841345	+	0.225438i	−0.653657	−	0.756791i	$-0.726766\pi$
$349$	−15.7176	+	4.21153i	−0.841345	+	0.225438i	−0.187688	+	0.982229i	$0.560099\pi$
$350$	−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
$353$	−7.85804	+	13.6105i	−0.418241	+	0.724415i	−0.995763	−	0.0919603i	$-0.970687\pi$
$353$	−7.85804	+	13.6105i	−0.418241	+	0.724415i	0.577521	+	0.816376i	$0.304020\pi$
$354$	31.9151	+	18.4262i	1.69627	+	0.979342i
$355$	−6.43335	−	5.12175i	−0.341447	−	0.271834i
$356$	1.96078	+	1.96078i	0.103921	+	0.103921i
$357$	−31.0035	+	17.8999i	−1.64088	+	0.947363i
$358$	−1.68538	+	0.973054i	−0.0890751	+	0.0514275i
$359$	0.930207	+	0.930207i	0.0490945	+	0.0490945i	0.731228	−	0.682133i	$-0.238948\pi$
$359$	0.930207	+	0.930207i	0.0490945	+	0.0490945i	−0.682133	+	0.731228i	$0.738948\pi$
$360$	−9.87280	+	1.12064i	−0.520342	+	0.0590629i
$361$	18.7116	+	10.8031i	0.984820	+	0.568586i
$362$	−7.32744	+	12.6915i	−0.385122	+	0.667050i
$363$	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
$367$	4.16260	−	1.11537i	0.217286	−	0.0582216i	−0.148534	−	0.988907i	$-0.547455\pi$
$367$	4.16260	−	1.11537i	0.217286	−	0.0582216i	0.365820	+	0.930686i	$0.380789\pi$
$368$	−0.557369	+	2.08013i	−0.0290548	+	0.108434i
$369$	26.6516	−	26.6516i	1.38743	−	1.38743i
$370$	−0.476583	−	4.19868i	−0.0247764	−	0.218279i
$371$	−31.9481	−	8.56048i	−1.65866	−	0.444438i
$372$	−17.0437			−0.883676
$373$	14.1495	+	3.79134i	0.732632	+	0.196308i	0.605801	−	0.795616i	$-0.292853\pi$
$373$	14.1495	+	3.79134i	0.732632	+	0.196308i	0.126831	+	0.991924i	$0.459519\pi$
$374$	0.511251	−	0.885513i	0.0264362	−	0.0457888i
$375$	−17.2454	−	25.1604i	−0.890547	−	1.29928i
$376$		−	4.74949i		−	0.244936i
$377$	1.50400	+	0.926849i	0.0774598	+	0.0477352i
$378$	−10.0151	+	10.0151i	−0.515119	+	0.515119i
$379$	0.841456	+	3.14036i	0.0432227	+	0.161309i	0.984164	−	0.177261i	$-0.0567235\pi$
$379$	0.841456	+	3.14036i	0.0432227	+	0.161309i	−0.940941	+	0.338570i	$0.890057\pi$
$380$	14.0915	+	2.11208i	0.722879	+	0.108347i
$381$	−17.9901	+	10.3866i	−0.921662	+	0.532122i
$382$			0.593685i			0.0303756i
$383$	5.11244	+	8.85501i	0.261234	+	0.452470i	0.966570	−	0.256403i	$-0.0825374\pi$
$383$	5.11244	+	8.85501i	0.261234	+	0.452470i	−0.705336	+	0.708873i	$0.749204\pi$
$384$	0.706135	−	2.63533i	0.0360348	−	0.134484i
$385$	−0.824952	−	2.09686i	−0.0420434	−	0.106866i
$386$	13.5002	+	23.3830i	0.687142	+	1.19016i
$387$	−14.1735	−	52.8962i	−0.720480	−	2.68887i
$388$	8.56322	+	4.94398i	0.434732	+	0.250992i
$389$	−26.1759			−1.32717			−0.663585	−	0.748101i	$-0.730966\pi$
$389$	−26.1759			−1.32717			−0.663585	+	0.748101i	$0.730966\pi$
$390$	−16.8086	−	14.1882i	−0.851135	−	0.718449i
$391$	−7.85789			−0.397390
$392$	−5.13709	−	2.96590i	−0.259462	−	0.149800i
$393$	0.336756	+	1.25679i	0.0169871	+	0.0633966i
$394$	−2.38788	−	4.13593i	−0.120300	−	0.208365i
$395$	21.2337	+	9.24334i	1.06838	+	0.465083i
$396$	0.322282	−	1.20277i	0.0161953	−	0.0604416i
$397$	8.03622	+	13.9191i	0.403326	+	0.698582i	0.994125	−	0.108237i	$-0.0345206\pi$
$397$	8.03622	+	13.9191i	0.403326	+	0.698582i	−0.590799	+	0.806819i	$0.701187\pi$
$398$			4.77767i			0.239483i
$399$	54.1437	−	31.2599i	2.71058	−	1.56495i
$400$	4.87280	−	1.12064i	0.243640	−	0.0560319i
$401$	1.77351	+	6.61885i	0.0885651	+	0.330529i	0.995965	−	0.0897379i	$-0.0286030\pi$
$401$	1.77351	+	6.61885i	0.0885651	+	0.330529i	−0.907400	+	0.420267i	$0.861936\pi$
$402$	−8.69919	+	8.69919i	−0.433876	+	0.433876i
$403$	−15.4634	−	16.3771i	−0.770288	−	0.815804i
$404$		−	8.09640i		−	0.402811i
$405$	3.43653	+	4.64831i	0.170763	+	0.230976i
$406$	−0.881006	+	1.52595i	−0.0437236	+	0.0757315i
$407$	0.511513	+	0.137059i	0.0253547	+	0.00679378i
$408$	9.95523			0.492857
$409$	−29.9680	−	8.02989i	−1.48182	−	0.397052i	−0.574854	−	0.818256i	$-0.694941\pi$
$409$	−29.9680	−	8.02989i	−1.48182	−	0.397052i	−0.906966	+	0.421204i	$0.861608\pi$
$410$	−11.8132	+	14.8384i	−0.583414	+	0.732816i
$411$	3.00942	−	3.00942i	0.148444	−	0.148444i
$412$	2.16001	−	8.06127i	0.106416	−	0.397150i
$413$	−46.9189	+	12.5719i	−2.30873	+	0.618622i
$414$	−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
$418$	−0.892835	+	1.54644i	−0.0436700	+	0.0756387i
$419$	−3.34480	−	1.93112i	−0.163404	−	0.0943415i	0.416068	−	0.909334i	$-0.363408\pi$
$419$	−3.34480	−	1.93112i	−0.163404	−	0.0943415i	−0.579472	+	0.814992i	$0.696741\pi$
$420$	13.6643	−	17.1634i	0.666748	−	0.837490i
$421$	−3.44554	−	3.44554i	−0.167925	−	0.167925i	0.618141	−	0.786067i	$-0.287886\pi$
$421$	−3.44554	−	3.44554i	−0.167925	−	0.167925i	−0.786067	+	0.618141i	$0.787886\pi$
$422$	−5.15360	+	2.97543i	−0.250873	+	0.144842i
$423$	18.2773	−	10.5524i	0.888673	−	0.513076i
$424$	6.50365	+	6.50365i	0.315845	+	0.315845i
$425$	8.55161	+	16.1161i	0.414814	+	0.781745i
$426$	8.68912	+	5.01666i	0.420989	+	0.243058i
$427$	1.59817	−	2.76811i	0.0773408	−	0.133958i
$428$	−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	−0.976630	−	0.214927i	$-0.931049\pi$
$431$	−35.6033	+	9.53989i	−1.71495	+	0.459520i	−0.738323	+	0.674447i	$0.764382\pi$
$432$	3.80437	−	1.01938i	0.183038	−	0.0490448i
$433$	2.62838	−	9.80926i	0.126312	−	0.471403i	−0.873571	−	0.486697i	$-0.838202\pi$
$433$	2.62838	−	9.80926i	0.126312	−	0.471403i	0.999883	+	0.0152937i	$0.00486834\pi$
$434$	15.8850	−	15.8850i	0.762505	−	0.762505i
$435$	−2.33859	−	1.86181i	−0.112127	−	0.0892671i
$436$	9.39674	+	2.51785i	0.450022	+	0.120583i
$437$	13.7228			0.656451
$438$	−4.32387	−	1.15858i	−0.206602	−	0.0553590i
$439$	−6.12850	+	10.6149i	−0.292497	+	0.506620i	−0.974400	−	0.224823i	$-0.927820\pi$
$439$	−6.12850	+	10.6149i	−0.292497	+	0.506620i	0.681902	+	0.731443i	$0.261153\pi$
$440$	−0.0928790	+	0.619677i	−0.00442783	+	0.0295420i
$441$		−	26.3585i		−	1.25517i
$442$	9.03217	+	9.56588i	0.429617	+	0.455002i
$443$	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
$445$	0.919086	−	6.13202i	0.0435688	−	0.290686i
$446$	9.44083	−	5.45066i	0.447036	−	0.258096i
$447$			30.7077i			1.45242i
$448$	1.79804	+	3.11430i	0.0849494	+	0.147137i
$449$	−1.02103	+	3.81054i	−0.0481855	+	0.179831i	−0.985824	−	0.167780i	$-0.946340\pi$
$449$	−1.02103	+	3.81054i	−0.0481855	+	0.179831i	0.937639	+	0.347611i	$0.113007\pi$
$450$	15.1389	+	16.2620i	0.713655	+	0.766599i
$451$	−1.18844	−	2.05844i	−0.0559616	−	0.0969284i
$452$	2.14732	+	8.01391i	0.101001	+	0.376943i
$453$	−7.84052	−	4.52673i	−0.368380	−	0.212684i
$454$	23.1720			1.08752
$455$	28.8895	−	2.44219i	1.35436	−	0.114492i
$456$	−17.3855			−0.814152
$457$	−4.88647	−	2.82121i	−0.228580	−	0.131970i	0.381337	−	0.924436i	$-0.375464\pi$
$457$	−4.88647	−	2.82121i	−0.228580	−	0.131970i	−0.609917	+	0.792466i	$0.708797\pi$
$458$	−4.36908	−	16.3056i	−0.204154	−	0.761911i
$459$	7.18569	+	12.4460i	0.335399	+	0.580929i
$460$	4.48107	−	1.76295i	0.208931	−	0.0821981i
$461$	9.97712	−	37.2351i	0.464681	−	1.73421i	−0.193264	−	0.981147i	$-0.561907\pi$
$461$	9.97712	−	37.2351i	0.464681	−	1.73421i	0.657945	−	0.753066i	$-0.271426\pi$
$462$	1.37466	+	2.38098i	0.0639551	+	0.110773i
$463$			2.77121i			0.128789i	0.997925	+	0.0643946i	$0.0205116\pi$
$463$			2.77121i			0.128789i	−0.997925	+	0.0643946i	$0.979488\pi$
$464$	0.424336	−	0.244991i	0.0196993	−	0.0113734i
$465$	22.6563	+	30.6453i	1.05066	+	1.42114i
$466$	−0.0523910	−	0.195526i	−0.00242697	−	0.00905756i
$467$	29.7328	−	29.7328i	1.37587	−	1.37587i	0.524392	−	0.851477i	$-0.324293\pi$
$467$	29.7328	−	29.7328i	1.37587	−	1.37587i	0.851477	−	0.524392i	$-0.175707\pi$
$468$	13.6396	+	8.40553i	0.630493	+	0.388546i
$469$		−	16.2155i		−	0.748764i
$470$	−8.53977	+	6.31351i	−0.393910	+	0.291221i
$471$	10.0545	−	17.4149i	0.463287	−	0.802437i
$472$	13.0472	+	3.49599i	0.600547	+	0.160916i
$473$	−3.45343			−0.158789
$474$	−27.2934	−	7.31325i	−1.25363	−	0.335909i
$475$	−14.9343	−	28.1447i	−0.685233	−	1.29137i
$476$	−9.27842	+	9.27842i	−0.425276	+	0.425276i
$477$	−10.5780	+	39.4776i	−0.484334	+	1.80756i
$478$	15.4787	−	4.14750i	0.707979	−	0.189702i
$479$	−18.5297	+	4.96501i	−0.846641	+	0.226857i	−0.655961	−	0.754795i	$-0.727736\pi$
$479$	−18.5297	+	4.96501i	−0.846641	+	0.226857i	−0.190681	+	0.981652i	$0.561070\pi$
$480$	−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
$483$	10.5642	−	18.2978i	0.480688	−	0.832577i
$484$	9.45827	+	5.46074i	0.429922	+	0.248215i
$485$	−2.49366	−	21.9691i	−0.113231	−	0.997564i
$486$	−13.3424	−	13.3424i	−0.605221	−	0.605221i
$487$	−2.75278	+	1.58932i	−0.124740	+	0.0720188i	−0.561072	−	0.827767i	$-0.689611\pi$
$487$	−2.75278	+	1.58932i	−0.124740	+	0.0720188i	0.436332	+	0.899786i	$0.356277\pi$
$488$	−0.769757	+	0.444419i	−0.0348453	+	0.0201179i
$489$	15.4933	+	15.4933i	0.700631	+	0.700631i
$490$	1.49595	+	13.1793i	0.0675801	+	0.595379i
$491$	−11.5449	−	6.66543i	−0.521012	−	0.300806i	0.216337	−	0.976319i	$-0.430589\pi$
$491$	−11.5449	−	6.66543i	−0.521012	−	0.300806i	−0.737349	+	0.675512i	$0.763922\pi$
$492$	11.5708	−	20.0413i	0.521654	−	0.903531i
$493$	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
$497$	−12.7740	+	3.42278i	−0.572992	+	0.153533i
$498$	11.0088	−	41.0855i	0.493317	−	1.84109i
$499$	2.48494	−	2.48494i	0.111241	−	0.111241i	−0.649295	−	0.760536i	$-0.724936\pi$
$499$	2.48494	−	2.48494i	0.111241	−	0.111241i	0.760536	+	0.649295i	$0.224936\pi$
$500$	−8.49239	−	7.27182i	−0.379791	−	0.325206i
$501$	−43.7835	−	11.7318i	−1.95610	−	0.524137i
$502$	−0.155069			−0.00692109
$503$	34.2898	+	9.18793i	1.52891	+	0.409670i	0.922663	−	0.385608i	$-0.126008\pi$
$503$	34.2898	+	9.18793i	1.52891	+	0.409670i	0.606246	+	0.795278i	$0.292675\pi$
$504$	−7.98978	+	13.8387i	−0.355893	+	0.616425i
$505$	−14.5577	+	10.7626i	−0.647807	+	0.478929i
$506$			0.603464i			0.0268272i
$507$	7.20001	+	34.7294i	0.319764	+	1.54239i
$508$	−5.38390	+	5.38390i	−0.238872	+	0.238872i
$509$	3.04401	+	11.3604i	0.134923	+	0.503541i	0.999998	+	0.00189794i	$0.000604134\pi$
$509$	3.04401	+	11.3604i	0.134923	+	0.503541i	−0.865075	+	0.501643i	$0.832729\pi$
$510$	−13.2335	−	17.8999i	−0.585990	−	0.792621i
$511$	5.10972	−	2.95010i	0.226041	−	0.130505i
$512$		−	1.00000i		−	0.0441942i
$513$	−12.5489	−	21.7353i	−0.554047	−	0.959638i
$514$	−3.00195	+	11.2034i	−0.132410	+	0.494162i
$515$	−17.3658	+	6.83210i	−0.765228	+	0.301058i
$516$	−16.8115	−	29.1184i	−0.740087	−	1.28187i
$517$	−0.344467	−	1.28557i	−0.0151496	−	0.0565392i
$518$	−5.88529	−	3.39787i	−0.258585	−	0.149294i
$519$	34.5648			1.51723
$520$	−7.29687	−	3.42866i	−0.319989	−	0.150357i
$521$	−15.9242			−0.697652			−0.348826	−	0.937188i	$-0.613420\pi$
$521$	−15.9242			−0.697652			−0.348826	+	0.937188i	$0.613420\pi$
$522$	1.88558	+	1.08864i	0.0825296	+	0.0476485i
$523$	9.18930	+	34.2949i	0.401820	+	1.49961i	0.809846	+	0.586642i	$0.199550\pi$
$523$	9.18930	+	34.2949i	0.401820	+	1.49961i	−0.408026	+	0.912970i	$0.633783\pi$
$524$	0.238450	+	0.413007i	0.0104167	+	0.0180423i
$525$	−49.0245	−	1.75344i	−2.13961	−	0.0765266i
$526$	−2.54935	+	9.51431i	−0.111157	+	0.414844i
$527$	−11.3973	−	19.7407i	−0.496475	−	0.859919i
$528$		−	0.764533i		−	0.0332720i
$529$	−15.9023	+	9.18120i	−0.691405	+	0.399183i
$530$	3.04849	−	20.3392i	0.132418	−	0.883477i
$531$	15.5348	+	57.9767i	0.674153	+	2.51597i
$532$	16.2036	−	16.2036i	0.702514	−	0.702514i
$533$	29.7555	−	7.06475i	1.28885	−	0.306008i
$534$			7.56545i			0.327389i
$535$	−1.06643	+	7.11506i	−0.0461056	+	0.307611i
$536$	−2.25461	+	3.90510i	−0.0973845	+	0.168675i
$537$	−5.12864	−	1.37422i	−0.221317	−	0.0593018i
$538$	−14.7039			−0.633928
$539$	−1.60559	−	0.430217i	−0.0691577	−	0.0185307i
$540$	−6.89005	−	5.48535i	−0.296501	−	0.236052i
$541$	22.5310	−	22.5310i	0.968685	−	0.968685i	−0.0308394	−	0.999524i	$-0.509818\pi$
$541$	22.5310	−	22.5310i	0.968685	−	0.968685i	0.999524	+	0.0308394i	$0.00981804\pi$
$542$	2.43773	−	9.09773i	0.104709	−	0.390781i
$543$	−38.6205	+	10.3483i	−1.65736	+	0.444089i
$544$	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	$0.725250\pi$
$548$	0.779967	−	1.35094i	0.0333185	−	0.0577094i
$549$	−3.42049	−	1.97482i	−0.145983	−	0.0842834i
$550$	1.23767	−	0.656740i	0.0527744	−	0.0280035i
$551$	−2.20781	−	2.20781i	−0.0940557	−	0.0940557i
$552$	−5.08825	+	2.93770i	−0.216570	+	0.125037i
$553$	32.2539	−	18.6218i	1.37158	−	0.791880i
$554$	−14.6859	−	14.6859i	−0.623945	−	0.623945i
$555$	7.18066	−	9.01951i	0.304802	−	0.382857i
$556$	1.78386	+	1.02991i	0.0756525	+	0.0436780i
$557$	5.06262	−	8.76871i	0.214510	−	0.371542i	−0.738611	−	0.674132i	$-0.764518\pi$
$557$	5.06262	−	8.76871i	0.214510	−	0.371542i	0.953121	+	0.302590i	$0.0978512\pi$
$558$	−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
$562$	0.0475816	−	0.0127495i	0.00200711	−	0.000537803i
$563$	3.83188	−	14.3008i	0.161495	−	0.602706i	−0.836967	−	0.547254i	$-0.815673\pi$
$563$	3.83188	−	14.3008i	0.161495	−	0.602706i	0.998461	−	0.0554522i	$-0.0176600\pi$
$564$	9.16269	−	9.16269i	0.385819	−	0.385819i
$565$	11.5549	−	14.5139i	0.486118	−	0.610604i
$566$	11.6974	+	3.13430i	0.491676	+	0.131744i
$567$	9.29662			0.390421
$568$	3.55220	+	0.951809i	0.149047	+	0.0399370i
$569$	−1.55633	+	2.69564i	−0.0652447	+	0.113007i	−0.896802	−	0.442431i	$-0.854116\pi$
$569$	−1.55633	+	2.69564i	−0.0652447	+	0.113007i	0.831558	+	0.555438i	$0.187449\pi$
$570$	23.1107	+	31.2599i	0.968000	+	1.30933i
$571$			18.1836i			0.760959i	0.924789	+	0.380479i	$0.124241\pi$
$571$			18.1836i			0.760959i	−0.924789	+	0.380479i	$0.875759\pi$
$572$	0.734633	−	0.693646i	0.0307165	−	0.0290028i
$573$	−1.14534	+	1.14534i	−0.0478471	+	0.0478471i
$574$	7.89458	+	29.4630i	0.329514	+	1.22976i
$575$	−9.12656	−	5.71364i	−0.380604	−	0.238275i
$576$	3.84827	−	2.22180i	0.160345	−	0.0925750i
$577$			4.93811i			0.205576i	0.994703	+	0.102788i	$0.0327764\pi$
$577$			4.93811i			0.205576i	−0.994703	+	0.102788i	$0.967224\pi$
$578$	−1.84284	−	3.19189i	−0.0766520	−	0.132765i
$579$	−19.0659	+	71.1550i	−0.792352	+	2.95710i
$580$	−1.00457	−	0.437306i	−0.0417127	−	0.0181582i
$581$	28.0319	+	48.5527i	1.16296	+	2.01431i
$582$	6.98223	+	26.0580i	0.289423	+	1.08014i
$583$	2.23207	+	1.28869i	0.0924429	+	0.0533719i
$584$	−1.64073			−0.0678939
$585$	−3.01776	−	35.6981i	−0.124769	−	1.47594i
$586$	0.587012			0.0242492
$587$	−27.0890	−	15.6399i	−1.11808	−	0.645526i	−0.177173	−	0.984180i	$-0.556695\pi$
$587$	−27.0890	−	15.6399i	−1.11808	−	0.645526i	−0.940911	+	0.338654i	$0.890028\pi$
$588$	−4.18865	−	15.6323i	−0.172737	−	0.644663i
$589$	19.9040	+	34.4747i	0.820128	+	1.42050i
$590$	−11.0578	−	28.1067i	−0.455243	−	1.15713i
$591$	3.37233	−	12.5857i	0.138719	−	0.517707i
$592$	0.944883	+	1.63658i	0.0388344	+	0.0672632i
$593$		−	0.950667i		−	0.0390392i	−0.999809	−	0.0195196i	$-0.993786\pi$
$593$		−	0.950667i		−	0.0390392i	0.999809	−	0.0195196i	$-0.00621368\pi$
$594$	0.955816	−	0.551841i	0.0392176	−	0.0226423i
$595$	29.0168	+	4.34912i	1.18957	+	0.178297i
$596$	2.91307	+	10.8717i	0.119324	+	0.445324i
$597$	−9.21707	+	9.21707i	−0.377230	+	0.377230i
$598$	−7.43927	−	2.22393i	−0.304215	−	0.0909433i
$599$			15.3924i			0.628917i	0.949271	+	0.314458i	$0.101823\pi$
$599$			15.3924i			0.628917i	−0.949271	+	0.314458i	$0.898177\pi$
$600$	11.5625	+	7.23866i	0.472038	+	0.295517i
$601$	−2.85880	+	4.95159i	−0.116613	+	0.201980i	−0.918423	−	0.395599i	$-0.870537\pi$
$601$	−2.85880	+	4.95159i	−0.116613	+	0.201980i	0.801810	+	0.597579i	$0.203870\pi$
$602$	42.8074	+	11.4702i	1.74470	+	0.467491i
$603$	−20.0372			−0.815978
$604$	−3.20528	−	0.858853i	−0.130421	−	0.0349462i
$605$	−2.75430	−	24.2653i	−0.111978	−	0.986526i
$606$	15.6196	−	15.6196i	0.634501	−	0.634501i
$607$	−1.78443	+	6.65959i	−0.0724279	+	0.270304i	−0.992638	−	0.121121i	$-0.961351\pi$
$607$	−1.78443	+	6.65959i	−0.0724279	+	0.270304i	0.920210	+	0.391425i	$0.128018\pi$
$608$	−6.15517	+	1.64927i	−0.249625	+	0.0668869i
$609$	−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
$613$	22.9373	−	39.7286i	0.926429	−	1.60462i	0.137182	−	0.990546i	$-0.456196\pi$
$613$	22.9373	−	39.7286i	0.926429	−	1.60462i	0.789247	−	0.614076i	$-0.210471\pi$
$614$	−13.4091	−	7.74173i	−0.541146	−	0.312431i
$615$	−51.4162	+	5.83614i	−2.07330	+	0.235336i
$616$	0.712556	+	0.712556i	0.0287097	+	0.0287097i
$617$	−14.4283	+	8.33018i	−0.580861	+	0.335360i	−0.761475	−	0.648194i	$-0.775525\pi$
$617$	−14.4283	+	8.33018i	−0.580861	+	0.335360i	0.180614	+	0.983554i	$0.442191\pi$
$618$	19.7189	−	11.3847i	0.793209	−	0.457959i
$619$	1.94079	+	1.94079i	0.0780070	+	0.0780070i	0.745034	−	0.667027i	$-0.232433\pi$
$619$	1.94079	+	1.94079i	0.0780070	+	0.0780070i	−0.667027	+	0.745034i	$0.732433\pi$
$620$	10.9284	+	8.70038i	0.438895	+	0.349416i
$621$	−7.34541	−	4.24087i	−0.294761	−	0.170180i
$622$	3.97267	−	6.88086i	0.159289	−	0.275897i
$623$	−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
$627$	−4.70584	+	1.26092i	−0.187933	+	0.0503565i
$628$	1.90764	−	7.11939i	0.0761229	−	0.284095i
$629$	−4.87587	+	4.87587i	−0.194414	+	0.194414i
$630$	35.5034	−	4.02991i	1.41449	−	0.160555i
$631$	35.7153	+	9.56989i	1.42180	+	0.380971i	0.886123	−	0.463449i	$-0.153388\pi$
$631$	35.7153	+	9.56989i	1.42180	+	0.380971i	0.535681	+	0.844421i	$0.320055\pi$
$632$	−10.3567			−0.411968
$633$	−15.6825	−	4.20212i	−0.623324	−	0.167019i
$634$	11.7374	−	20.3297i	0.466151	−	0.807397i
$635$	16.8373	+	2.52363i	0.668169	+	0.100147i
$636$			25.0937i			0.995028i
$637$	11.2206	−	18.2077i	0.444576	−	0.721414i
$638$	0.0970888	−	0.0970888i	0.00384378	−	0.00384378i
$639$	4.22946	+	15.7846i	0.167315	+	0.624427i
$640$	−1.79804	+	1.32930i	−0.0710738	+	0.0525454i
$641$	−27.2432	+	15.7289i	−1.07604	+	0.621254i	−0.929826	−	0.367998i	$-0.880043\pi$
$641$	−27.2432	+	15.7289i	−1.07604	+	0.621254i	−0.146217	+	0.989253i	$0.546710\pi$
$642$		−	8.77828i		−	0.346451i
$643$	8.90887	+	15.4306i	0.351331	+	0.608524i	0.986483	−	0.163864i	$-0.0523957\pi$
$643$	8.90887	+	15.4306i	0.351331	+	0.608524i	−0.635152	+	0.772388i	$0.719062\pi$
$644$	2.00434	−	7.48031i	0.0789821	−	0.294765i
$645$	−30.0085	+	68.9351i	−1.18158	+	2.71432i
$646$	−11.6259	−	20.1366i	−0.457414	−	0.792265i
$647$	−9.53681	−	35.5918i	−0.374931	−	1.39926i	−0.853446	−	0.521181i	$-0.825492\pi$
$647$	−9.53681	−	35.5918i	−0.374931	−	1.39926i	0.478516	−	0.878079i	$-0.341175\pi$
$648$	−2.23886	−	1.29260i	−0.0879506	−	0.0507783i
$649$	3.78512			0.148579
$650$	3.53489	+	17.6778i	0.138650	+	0.693380i
$651$	61.2906			2.40217
$652$	6.95501	+	4.01548i	0.272379	+	0.157258i
$653$	10.4480	+	38.9924i	0.408861	+	1.52589i	0.796822	+	0.604214i	$0.206513\pi$
$653$	10.4480	+	38.9924i	0.408861	+	1.52589i	−0.387961	+	0.921676i	$0.626820\pi$
$654$	13.2707	+	22.9856i	0.518927	+	0.898808i
$655$	0.425631	−	0.977755i	0.0166308	−	0.0382041i
$656$	2.19533	−	8.19308i	0.0857132	−	0.319886i
$657$	−3.64538	−	6.31398i	−0.142220	−	0.246332i
$658$			17.0795i			0.665830i
$659$	35.0913	−	20.2600i	1.36696	−	0.789217i	0.376425	−	0.926447i	$-0.377153\pi$
$659$	35.0913	−	20.2600i	1.36696	−	0.789217i	0.990539	+	0.137230i	$0.0438198\pi$
$660$	−1.37466	+	1.01630i	−0.0535086	+	0.0395593i
$661$	−12.8096	−	47.8060i	−0.498234	−	1.85944i	−0.511103	−	0.859519i	$-0.670763\pi$
$661$	−12.8096	−	47.8060i	−0.498234	−	1.85944i	0.0128690	−	0.999917i	$-0.495904\pi$
$662$	−5.73352	+	5.73352i	−0.222840	+	0.222840i
$663$	−1.02962	+	35.8793i	−0.0399871	+	1.39344i
$664$		−	15.5903i		−	0.605019i
$665$	−50.6742	−	7.59519i	−1.96506	−	0.294529i
$666$	−4.19868	+	7.27233i	−0.162696	+	0.281797i
$667$	−1.01922	−	0.273100i	−0.0394645	−	0.0105745i
$668$	−16.6141			−0.642817
$669$	28.7286	+	7.69781i	1.11071	+	0.297614i
$670$	10.0186	−	1.13719i	0.387052	−	0.0439334i
$671$	−0.176122	+	0.176122i	−0.00679910	+	0.00679910i
$672$	−2.53932	+	9.47687i	−0.0979563	+	0.365578i
$673$	−33.7820	+	9.05187i	−1.30220	+	0.348924i	−0.842282	−	0.539037i	$-0.818788\pi$
$673$	−33.7820	+	9.05187i	−1.30220	+	0.348924i	−0.459919	+	0.887961i	$0.652122\pi$
$674$	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	$-0.571988\pi$
$678$	−11.3178	+	19.6030i	−0.434658	+	0.752849i
$679$	−30.7940	−	17.7789i	−1.18177	−	0.682293i
$680$	−6.38327	−	5.08188i	−0.244787	−	0.194881i
$681$	44.7034	+	44.7034i	1.71304	+	1.71304i
$682$	−1.51603	+	0.875282i	−0.0580519	+	0.0335163i
$683$	−9.44631	+	5.45383i	−0.361453	+	0.208685i	−0.669718	−	0.742615i	$-0.733585\pi$
$683$	−9.44631	+	5.45383i	−0.361453	+	0.208685i	0.308265	+	0.951301i	$0.400252\pi$
$684$	−20.0224	−	20.0224i	−0.765577	−	0.765577i
$685$	−3.46586	+	0.393402i	−0.132424	+	0.0150311i
$686$	−3.32671	−	1.92067i	−0.127014	−	0.0733317i
$687$	23.0279	−	39.8856i	0.878571	−	1.52173i
$688$	−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	−0.128792	−	0.991672i	$-0.541110\pi$
$691$	6.71649	−	1.79968i	0.255507	−	0.0684630i	0.384299	+	0.923209i	$0.374443\pi$
$692$	12.2373	−	3.27898i	0.465193	−	0.124648i
$693$	−1.15895	+	4.32527i	−0.0440250	+	0.164303i
$694$	−14.4558	+	14.4558i	−0.548736	+	0.548736i
$695$	−0.519470	−	4.57652i	−0.0197046	−	0.173597i
$696$	1.29126	+	0.345993i	0.0489452	+	0.0131148i
$697$	30.9502			1.17232
$698$	−15.7176	−	4.21153i	−0.594921	−	0.159409i
$699$	0.276135	−	0.478281i	0.0104444	−	0.0180902i
$700$	−17.5230	+	4.02991i	−0.662306	+	0.152316i
$701$			33.1853i			1.25339i	0.779263	+	0.626697i	$0.215593\pi$
$701$			33.1853i			1.25339i	−0.779263	+	0.626697i	$0.784407\pi$
$702$	3.28044	+	13.8166i	0.123812	+	0.521475i
$703$	8.51509	−	8.51509i	0.321153	−	0.321153i
$704$	−0.0725272	−	0.270675i	−0.00273347	−	0.0102015i
$705$	−28.6549	−	4.29488i	−1.07921	−	0.161755i
$706$	−13.6105	+	7.85804i	−0.512239	+	0.295741i
$707$			29.1153i			1.09499i
$708$	18.4262	+	31.9151i	0.692499	+	1.19944i
$709$	−1.41538	+	5.28226i	−0.0531557	+	0.198380i	−0.987397	−	0.158261i	$-0.949411\pi$
$709$	−1.41538	+	5.28226i	−0.0531557	+	0.198380i	0.934242	+	0.356641i	$0.116078\pi$
$710$	−3.01056	−	7.65224i	−0.112984	−	0.287183i
$711$	−23.0106	−	39.8555i	−0.862964	−	1.49470i
$712$	0.717694	+	2.67847i	0.0268967	+	0.100380i
$713$	11.6506	+	6.72650i	0.436320	+	0.251909i
$714$	−35.7998			−1.33977
$715$	−2.22375	−	0.398832i	−0.0831637	−	0.0149155i
$716$	−1.94611			−0.0727295
$717$	37.8628	+	21.8601i	1.41401	+	0.816380i
$718$	0.340479	+	1.27069i	0.0127066	+	0.0474216i
$719$	−6.84658	−	11.8586i	−0.255334	−	0.442252i	0.709652	−	0.704552i	$-0.248852\pi$
$719$	−6.84658	−	11.8586i	−0.255334	−	0.442252i	−0.964986	+	0.262300i	$0.915519\pi$
$720$	−9.11041	−	3.96590i	−0.339525	−	0.147800i
$721$	−7.76757	+	28.9890i	−0.289279	+	1.07961i
$722$	10.8031	+	18.7116i	0.402051	+	0.696373i
$723$		−	50.7777i		−	1.88844i
$724$	−12.6915	+	7.32744i	−0.471676	+	0.272322i
$725$	0.549092	+	2.38758i	0.0203928	+	0.0886725i
$726$	7.71204	+	28.7817i	0.286221	+	1.06819i
$727$	−20.8450	+	20.8450i	−0.773099	+	0.773099i	−0.978647	−	0.205548i	$-0.934102\pi$
$727$	−20.8450	+	20.8450i	−0.773099	+	0.773099i	0.205548	+	0.978647i	$0.434102\pi$
$728$	−11.4101	+	6.15816i	−0.422886	+	0.228237i
$729$		−	43.7244i		−	1.61942i
$730$	2.18103	+	2.95010i	0.0807235	+	0.109188i
$731$	22.4841	−	38.9436i	0.831604	−	1.44038i
$732$	−2.34239	−	0.627640i	−0.0865771	−	0.0231983i
$733$	2.75177			0.101639			0.0508195	−	0.998708i	$-0.483817\pi$
$733$	2.75177			0.101639			0.0508195	+	0.998708i	$0.483817\pi$
$734$	4.16260	+	1.11537i	0.153644	+	0.0411689i
$735$	−22.5394	+	28.3114i	−0.831379	+	1.04428i
$736$	−1.52276	+	1.52276i	−0.0561296	+	0.0561296i
$737$	−0.327042	+	1.22054i	−0.0120467	+	0.0449590i
$738$	36.4068	−	9.75517i	1.34015	−	0.359093i
$739$	36.7025	−	9.83441i	1.35012	−	0.361765i	0.489943	−	0.871754i	$-0.337017\pi$
$739$	36.7025	−	9.83441i	1.35012	−	0.361765i	0.860181	+	0.509990i	$0.170351\pi$
$740$	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
$743$	21.2666	−	36.8348i	0.780196	−	1.35134i	−0.151631	−	0.988437i	$-0.548453\pi$
$743$	21.2666	−	36.8348i	0.780196	−	1.35134i	0.931827	−	0.362902i	$-0.118214\pi$
$744$	−14.7603	−	8.52186i	−0.541139	−	0.312427i
$745$	15.6755	−	19.6897i	0.574304	−	0.721374i
$746$	10.3581	+	10.3581i	0.379238	+	0.379238i
$747$	59.9956	−	34.6385i	2.19512	−	1.26735i
$748$	0.885513	−	0.511251i	0.0323776	−	0.0186932i
$749$	8.18149	+	8.18149i	0.298945	+	0.298945i
$750$	−2.35472	−	30.4123i	−0.0859822	−	1.11050i
$751$	−35.9624	−	20.7629i	−1.31229	−	0.757649i	−0.329812	−	0.944047i	$-0.606985\pi$
$751$	−35.9624	−	20.7629i	−1.31229	−	0.757649i	−0.982474	+	0.186398i	$0.940319\pi$
$752$	2.37474	−	4.11318i	0.0865980	−	0.149992i
$753$	−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
$757$	40.6101	−	10.8814i	1.47600	−	0.395493i	0.571016	−	0.820939i	$-0.306549\pi$
$757$	40.6101	−	10.8814i	1.47600	−	0.395493i	0.904984	+	0.425446i	$0.139883\pi$
$758$	−0.841456	+	3.14036i	−0.0305630	+	0.114063i
$759$	−1.16420	+	1.16420i	−0.0422578	+	0.0422578i
$760$	11.1476	+	8.87486i	0.404365	+	0.321925i
$761$	26.4419	+	7.08509i	0.958519	+	0.256834i	0.703973	−	0.710226i	$-0.251407\pi$
$761$	26.4419	+	7.08509i	0.958519	+	0.256834i	0.254546	+	0.967061i	$0.418074\pi$
$762$	−20.7732			−0.752534
$763$	−33.7914	−	9.05439i	−1.22333	−	0.327791i
$764$	−0.296843	+	0.514146i	−0.0107394	+	0.0186012i
$765$	5.37412	−	35.8555i	0.194302	−	1.29636i
$766$			10.2249i			0.369440i
$767$	−13.9492	+	46.6615i	−0.503677	+	1.68485i
$768$	1.92920	−	1.92920i	0.0696139	−	0.0696139i
$769$	7.62636	+	28.4620i	0.275014	+	1.02637i	0.955832	+	0.293913i	$0.0949576\pi$
$769$	7.62636	+	28.4620i	0.275014	+	1.02637i	−0.680818	+	0.732452i	$0.738376\pi$
$770$	0.334001	−	2.22841i	0.0120365	−	0.0803063i
$771$	−27.4050	+	15.8223i	−0.986966	+	0.569825i
$772$			27.0004i			0.971765i
$773$	5.09981	+	8.83313i	0.183427	+	0.317706i	0.943045	−	0.332664i	$-0.107947\pi$
$773$	5.09981	+	8.83313i	0.183427	+	0.317706i	−0.759618	+	0.650369i	$0.774614\pi$
$774$	14.1735	−	52.8962i	0.509456	−	1.90132i
$775$	1.11646	−	31.2151i	0.0401045	−	1.12128i
$776$	4.94398	+	8.56322i	0.177478	+	0.307402i
$777$	−4.79872	−	17.9091i	−0.172153	−	0.642484i
$778$	−22.6690	−	13.0879i	−0.812722	−	0.469225i
$779$	−54.0506			−1.93656
$780$	−7.46253	−	20.6917i	−0.267201	−	0.740880i
$781$	1.03052			0.0368751
$782$	−6.80513	−	3.92894i	−0.243351	−	0.140499i
$783$	0.499476	+	1.86407i	0.0178498	+	0.0666164i
$784$	−2.96590	−	5.13709i	−0.105925	−	0.183467i
$785$	−15.3368	+	6.03384i	−0.547393	+	0.215357i
$786$	−0.336756	+	1.25679i	−0.0120117	+	0.0448282i
$787$	17.7000	+	30.6572i	0.630935	+	1.09281i	0.987361	+	0.158488i	$0.0506620\pi$
$787$	17.7000	+	30.6572i	0.630935	+	1.09281i	−0.356426	+	0.934324i	$0.616005\pi$
$788$		−	4.77576i		−	0.170129i
$789$	−23.2732	+	13.4368i	−0.828547	+	0.478362i
$790$	13.7672	+	18.6218i	0.489817	+	0.662534i
$791$	−7.72194	−	28.8187i	−0.274561	−	1.02467i
$792$	0.880491	−	0.880491i	0.0312869	−	0.0312869i
$793$	−1.52211	−	2.82022i	−0.0540516	−	0.100149i
$794$			16.0724i			0.570390i
$795$	45.1194	−	33.3571i	1.60022	−	1.18305i
$796$	−2.38884	+	4.13759i	−0.0846700	+	0.146653i
$797$	25.6957	+	6.88514i	0.910188	+	0.243884i	0.683386	−	0.730057i	$-0.260506\pi$
$797$	25.6957	+	6.88514i	0.910188	+	0.243884i	0.226801	+	0.973941i	$0.427173\pi$
$798$	62.5198			2.21318
$799$	16.7398	+	4.48541i	0.592211	+	0.158682i
$800$	4.78029	+	1.46590i	0.169009	+	0.0518273i
$801$	−8.71291	+	8.71291i	−0.307856	+	0.307856i
$802$	−1.77351	+	6.61885i	−0.0626250	+	0.233720i
$803$	−0.444105	+	0.118998i	−0.0156721	+	0.00419933i
$804$	−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
$808$	4.04820	−	7.01169i	0.142415	−	0.246670i
$809$	27.4070	+	15.8234i	0.963579	+	0.556323i	0.897273	−	0.441477i	$-0.145545\pi$
$809$	27.4070	+	15.8234i	0.963579	+	0.556323i	0.0663064	+	0.997799i	$0.478879\pi$
$810$	0.651968	+	5.74382i	0.0229078	+	0.201817i
$811$	−15.6436	−	15.6436i	−0.549320	−	0.549320i	0.376924	−	0.926244i	$-0.376982\pi$
$811$	−15.6436	−	15.6436i	−0.549320	−	0.549320i	−0.926244	+	0.376924i	$0.876982\pi$
$812$	−1.52595	+	0.881006i	−0.0535502	+	0.0309172i
$813$	22.2542	−	12.8484i	0.780488	−	0.450615i
$814$	0.374453	+	0.374453i	0.0131246	+	0.0131246i
$815$	−2.02534	−	17.8432i	−0.0709445	−	0.625020i
$816$	8.62148	+	4.97761i	0.301812	+	0.174251i
$817$	−39.2656	+	68.0100i	−1.37373	+	2.37937i
$818$	−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	0.543102	−	0.839667i	$-0.317250\pi$
$821$	41.0678	−	11.0041i	1.43328	−	0.384045i	0.890173	+	0.455622i	$0.150583\pi$
$822$	4.11094	−	1.10152i	0.143386	−	0.0384201i
$823$	−8.50444	+	31.7390i	−0.296446	+	1.10635i	0.643616	+	0.765349i	$0.277434\pi$
$823$	−8.50444	+	31.7390i	−0.296446	+	1.10635i	−0.940062	+	0.341004i	$0.889233\pi$
$824$	5.90126	−	5.90126i	0.205580	−	0.205580i
$825$	3.65469	+	1.12073i	0.127240	+	0.0390187i
$826$	−46.9189	−	12.5719i	−1.63252	−	0.437432i
$827$	−36.7363			−1.27745			−0.638723	−	0.769437i	$-0.720537\pi$
$827$	−36.7363			−1.27745			−0.638723	+	0.769437i	$0.720537\pi$
$828$	−9.24326	−	2.47672i	−0.321225	−	0.0860721i
$829$	20.9015	−	36.2025i	0.725940	−	1.25736i	−0.232646	−	0.972561i	$-0.574738\pi$
$829$	20.9015	−	36.2025i	0.725940	−	1.25736i	0.958586	−	0.284803i	$-0.0919283\pi$
$830$	−28.0319	+	20.7242i	−0.973002	+	0.719348i
$831$		−	56.6641i		−	1.96566i
$832$	3.60407	+	0.103425i	0.124949	+	0.00358562i
$833$	15.3049	−	15.3049i	0.530284	−	0.530284i
$834$	1.45451	+	5.42832i	0.0503657	+	0.187967i
$835$	22.0851	+	29.8727i	0.764288	+	1.03379i
$836$	−1.54644	+	0.892835i	−0.0534846	+	0.0308794i
$837$		−	24.6044i		−	0.850451i
$838$	−1.93112	−	3.34480i	−0.0667095	−	0.115544i
$839$	0.00971015	−	0.0362388i	0.000335232	−	0.00125110i	−0.965758	−	0.259445i	$-0.916461\pi$
$839$	0.00971015	−	0.0362388i	0.000335232	−	0.00125110i	0.966093	+	0.258193i	$0.0831272\pi$
$840$	20.4153	−	8.03185i	0.704395	−	0.277125i
$841$	−14.3800	−	24.9068i	−0.495861	−	0.858856i
$842$	−1.26116	−	4.70670i	−0.0434623	−	0.162204i
$843$	0.116391	+	0.0671981i	0.00400870	+	0.00231443i
$844$	−5.95087			−0.204837
$845$	13.1118	−	25.9438i	0.451060	−	0.892494i
$846$	21.1048			0.725599
$847$	−34.0127	−	19.6373i	−1.16869	−	0.674744i
$848$	2.38050	+	8.88416i	0.0817468	+	0.305083i
$849$	16.5198	+	28.6132i	0.566959	+	0.982001i
$850$	−0.652125	+	18.2327i	−0.0223677	+	0.625378i
$851$	1.05330	−	3.93095i	0.0361065	−	0.134751i
$852$	5.01666	+	8.68912i	0.171868	+	0.297684i
$853$		−	17.3057i		−	0.592535i	−0.955105	−	0.296267i	$-0.904258\pi$
$853$		−	17.3057i		−	0.592535i	0.955105	−	0.296267i	$-0.0957419\pi$
$854$	2.76811	−	1.59817i	0.0947227	−	0.0546882i
$855$	−9.38522	+	62.6170i	−0.320968	+	2.14146i
$856$	−0.832749	−	3.10786i	−0.0284628	−	0.106225i
$857$	9.14936	−	9.14936i	0.312536	−	0.312536i	−0.533355	−	0.845891i	$-0.679069\pi$
$857$	9.14936	−	9.14936i	0.312536	−	0.312536i	0.845891	+	0.533355i	$0.179069\pi$
$858$	2.75543	+	0.0790718i	0.0940688	+	0.00269947i
$859$		−	39.7857i		−	1.35747i	−0.734383	−	0.678735i	$-0.762528\pi$
$859$		−	39.7857i		−	1.35747i	0.734383	−	0.678735i	$-0.237472\pi$
$860$	−4.08469	+	27.2525i	−0.139287	+	0.929303i
$861$	−41.6097	+	72.0701i	−1.41805	+	2.45614i
$862$	−35.6033	−	9.53989i	−1.21265	−	0.324930i
$863$	−45.1001			−1.53522			−0.767612	−	0.640915i	$-0.778555\pi$
$863$	−45.1001			−1.53522			−0.767612	+	0.640915i	$0.778555\pi$
$864$	3.80437	+	1.01938i	0.129427	+	0.0346799i
$865$	−22.1629	−	17.6444i	−0.753560	−	0.599928i
$866$	7.18088	−	7.18088i	0.244016	−	0.244016i
$867$	2.60259	−	9.71298i	0.0883885	−	0.329870i
$868$	21.6993	−	5.81432i	0.736523	−	0.197351i
$869$	−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
$873$	−21.9691	+	38.0515i	−0.743540	+	1.28785i
$874$	11.8843	+	6.86140i	0.401992	+	0.232090i
$875$	30.5393	+	26.1500i	1.03242	+	0.884033i
$876$	−3.16529	−	3.16529i	−0.106945	−	0.106945i
$877$	−36.2820	+	20.9474i	−1.22515	+	0.707343i	−0.966012	−	0.258496i	$-0.916773\pi$
$877$	−36.2820	+	20.9474i	−1.22515	+	0.707343i	−0.259142	+	0.965839i	$0.583440\pi$
$878$	−10.6149	+	6.12850i	−0.358235	+	0.206827i
$879$	1.13246	+	1.13246i	0.0381970	+	0.0381970i
$880$	−0.390274	+	0.490217i	−0.0131561	+	0.0165252i
$881$	21.5581	+	12.4466i	0.726312	+	0.419337i	0.817072	−	0.576536i	$-0.195596\pi$
$881$	21.5581	+	12.4466i	0.726312	+	0.419337i	−0.0907593	+	0.995873i	$0.528929\pi$
$882$	13.1793	−	22.8272i	0.443769	−	0.768631i
$883$	17.5190	+	17.5190i	0.589561	+	0.589561i	0.937513	−	0.347951i	$-0.113123\pi$
$883$	17.5190	+	17.5190i	0.589561	+	0.589561i	−0.347951	+	0.937513i	$0.613123\pi$
$884$	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
$887$	−20.8499	+	5.58671i	−0.700071	+	0.187583i	−0.591262	−	0.806479i	$-0.701370\pi$
$887$	−20.8499	+	5.58671i	−0.700071	+	0.187583i	−0.108808	+	0.994063i	$0.534704\pi$
$888$	−1.33443	+	4.98016i	−0.0447805	+	0.167123i
$889$	19.3609	−	19.3609i	0.649345	−	0.649345i
$890$	3.86196	−	4.85095i	0.129453	−	0.162604i
$891$	−0.699752	−	0.187498i	−0.0234426	−	0.00628142i
$892$	10.9013			0.365003
$893$	−29.2339	−	7.83320i	−0.978275	−	0.262128i
$894$	−15.3538	+	26.5936i	−0.513509	+	0.889423i
$895$	2.58697	+	3.49918i	0.0864729	+	0.116965i
$896$			3.59608i			0.120137i
$897$	−10.0614	−	18.6422i	−0.335941	−	0.622446i
$898$	−2.78951	+	2.78951i	−0.0930872	+	0.0930872i
$899$	−0.792225	−	2.95662i	−0.0264222	−	0.0986089i
$900$	4.97967	+	21.6528i	0.165989	+	0.721759i
$901$	−29.0645	+	16.7804i	−0.968278	+	0.559036i
$902$		−	2.37689i		−	0.0791417i
$903$	60.4556	+	104.712i	2.01184	+	3.48460i
$904$	−2.14732	+	8.01391i	−0.0714188	+	0.266539i
$905$	30.0459	+	13.0794i	0.998759	+	0.434775i
$906$	−4.52673	−	7.84052i	−0.150390	−	0.260484i
$907$	11.4006	+	42.5476i	0.378550	+	1.41277i	0.848087	+	0.529856i	$0.177754\pi$
$907$	11.4006	+	42.5476i	0.378550	+	1.41277i	−0.469537	+	0.882913i	$0.655579\pi$
$908$	20.0676	+	11.5860i	0.665966	+	0.384495i
$909$	35.9772			1.19329
$910$	26.2401	+	12.3297i	0.869852	+	0.408727i
$911$	−30.5831			−1.01326			−0.506632	−	0.862162i	$-0.669110\pi$
$911$	−30.5831			−1.01326			−0.506632	+	0.862162i	$0.669110\pi$
$912$	−15.0563	−	8.69277i	−0.498564	−	0.287846i
$913$	−1.13072	−	4.21990i	−0.0374213	−	0.139658i
$914$	−2.82121	−	4.88647i	−0.0933172	−	0.161630i
$915$	1.98522	+	5.04603i	0.0656294	+	0.166817i
$916$	4.36908	−	16.3056i	0.144358	−	0.538753i
$917$	−0.857485	−	1.48521i	−0.0283166	−	0.0490459i
$918$			14.3714i			0.474326i
$919$	−4.56976	+	2.63835i	−0.150743	+	0.0870313i	−0.573474	−	0.819224i	$-0.694405\pi$
$919$	−4.56976	+	2.63835i	−0.150743	+	0.0870313i	0.422732	+	0.906255i	$0.361071\pi$
$920$	4.76219	+	0.713771i	0.157005	+	0.0235323i
$921$	−10.9334	−	40.8040i	−0.360268	−	1.34454i
$922$	27.2580	−	27.2580i	0.897695	−	0.897695i
$923$	−3.79777	+	12.7039i	−0.125005	+	0.418155i
$924$			2.74932i			0.0904461i
$925$	−9.20845	+	2.11774i	−0.302772	+	0.0696310i
$926$	−1.38561	+	2.39994i	−0.0455339	+	0.0788670i
$927$	35.8211	+	9.59823i	1.17652	+	0.315247i
$928$	0.489981			0.0160844
$929$	41.6939	+	11.1718i	1.36793	+	0.366536i	0.866723	−	0.498790i	$-0.166222\pi$
$929$	41.6939	+	11.1718i	1.36793	+	0.366536i	0.501209	+	0.865326i	$0.332889\pi$
$930$	4.29828	+	37.8678i	0.140946	+	1.24173i
$931$	−26.7281	+	26.7281i	−0.875977	+	0.875977i
$932$	0.0523910	−	0.195526i	0.00171612	−	0.00640467i
$933$	20.9386	−	5.61048i	0.685499	−	0.183679i
$934$	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	$0.603452\pi$
$938$	8.10777	−	14.0431i	0.264728	−	0.458523i
$939$	−70.8021	−	40.8776i	−2.31054	−	1.33399i
$940$	−10.5524	+	1.19778i	−0.344182	+	0.0390673i
$941$	−9.03183	−	9.03183i	−0.294429	−	0.294429i	0.544398	−	0.838827i	$-0.316758\pi$
$941$	−9.03183	−	9.03183i	−0.294429	−	0.294429i	−0.838827	+	0.544398i	$0.816758\pi$
$942$	17.4149	−	10.0545i	0.567408	−	0.327593i
$943$	−15.8191	+	9.13313i	−0.515139	+	0.297416i
$944$	9.55123	+	9.55123i	0.310866	+	0.310866i
$945$	24.7772	+	19.7258i	0.806002	+	0.641679i
$946$	−2.99076	−	1.72672i	−0.0972379	−	0.0561403i
$947$	−3.69947	+	6.40767i	−0.120217	+	0.208221i	−0.919853	−	0.392263i	$-0.871692\pi$
$947$	−3.69947	+	6.40767i	−0.120217	+	0.208221i	0.799636	+	0.600485i	$0.205026\pi$
$948$	−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
$952$	−12.6746	+	3.39614i	−0.410785	+	0.110069i
$953$	7.65169	−	28.5565i	0.247863	−	0.925036i	−0.724060	−	0.689737i	$-0.757726\pi$
$953$	7.65169	−	28.5565i	0.247863	−	0.925036i	0.971923	−	0.235299i	$-0.0756070\pi$
$954$	−28.8996	+	28.8996i	−0.935661	+	0.935661i
$955$	1.31905	−	0.149722i	0.0426835	−	0.00484490i
$956$	15.4787	+	4.14750i	0.500617	+	0.134140i
$957$	0.374607			0.0121093
$958$	−18.5297	−	4.96501i	−0.598666	−	0.160412i
$959$	−2.80482	+	4.85810i	−0.0905725	+	0.156876i
$960$	−6.03326	−	0.904283i	−0.194723	−	0.0291856i
$961$			8.02526i			0.258879i
$962$	−5.99609	+	3.23616i	−0.193322	+	0.104338i
$963$	10.1097	−	10.1097i	0.325780	−	0.325780i
$964$	−4.81701	−	17.9773i	−0.155145	−	0.579011i
$965$	48.5478	−	35.8917i	1.56281	−	1.15540i
$966$	18.2978	−	10.5642i	0.588721	−	0.339898i
$967$			12.8025i			0.411699i	0.978584	+	0.205850i	$0.0659958\pi$
$967$			12.8025i			0.411699i	−0.978584	+	0.205850i	$0.934004\pi$
$968$	5.46074	+	9.45827i	0.175515	+	0.304000i
$969$	16.4189	−	61.2761i	0.527451	−	1.96847i
$970$	8.82496	−	20.2726i	0.283352	−	0.650914i
$971$	25.5054	+	44.1766i	0.818507	+	1.41770i	0.906782	+	0.421599i	$0.138531\pi$
$971$	25.5054	+	44.1766i	0.818507	+	1.41770i	−0.0882757	+	0.996096i	$0.528136\pi$
$972$	−4.88364	−	18.2260i	−0.156643	−	0.584599i
$973$	−6.41491	−	3.70365i	−0.205652	−	0.118733i
$974$	−3.17863			−0.101850
$975$	−27.2845	+	40.9235i	−0.873802	+	1.31060i
$976$	−0.888839			−0.0284510
$977$	−39.1575	−	22.6076i	−1.25276	−	0.723282i	−0.281104	−	0.959677i	$-0.590701\pi$
$977$	−39.1575	−	22.6076i	−1.25276	−	0.723282i	−0.971657	+	0.236395i	$0.924034\pi$
$978$	5.67094	+	21.1642i	0.181337	+	0.676758i
$979$	0.388524	+	0.672943i	0.0124173	+	0.0215074i
$980$	−5.29410	+	12.1616i	−0.169114	+	0.388487i
$981$	−11.1883	+	41.7554i	−0.357216	+	1.33315i
$982$	−6.66543	−	11.5449i	−0.212702	−	0.368411i
$983$			44.4113i			1.41650i	0.705961	+	0.708251i	$0.250515\pi$
$983$			44.4113i			1.41650i	−0.705961	+	0.708251i	$0.749485\pi$
$984$	20.0413	−	11.5708i	0.638893	−	0.368865i
$985$	−8.58700	+	6.34844i	−0.273605	+	0.202278i
$986$	0.462738	+	1.72696i	0.0147366	+	0.0549977i
$987$	−32.9498	+	32.9498i	−1.04880	+	1.04880i
$988$	−5.30750	−	22.3542i	−0.168854	−	0.711183i
$989$			26.5395i			0.843906i
$990$	−2.75360	−	0.412717i	−0.0875151	−	0.0131170i
$991$	−4.26730	+	7.39118i	−0.135555	+	0.234789i	−0.925809	−	0.377991i	$-0.876615\pi$
$991$	−4.26730	+	7.39118i	−0.135555	+	0.234789i	0.790254	+	0.612779i	$0.209948\pi$
$992$	−6.03416	−	1.61685i	−0.191585	−	0.0513350i
$993$	−22.1222			−0.702026
$994$	−12.7740	−	3.42278i	−0.405166	−	0.108564i
$995$	10.6150	−	1.20489i	0.336519	−	0.0381975i
$996$	30.0767	−	30.0767i	0.953016	−	0.953016i
$997$	7.34520	−	27.4127i	0.232625	−	0.868168i	−0.746580	−	0.665295i	$-0.768306\pi$
$997$	7.34520	−	27.4127i	0.232625	−	0.868168i	0.979205	−	0.202872i	$-0.0650277\pi$
$998$	3.39449	−	0.909550i	0.107451	−	0.0287913i
$999$	−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.p.b.7.4	✓	16
5.2	odd	4		650.2.w.g.293.4		16
5.3	odd	4		130.2.s.b.33.1	yes	16
5.4	even	2		650.2.t.g.7.1		16
13.2	odd	12		130.2.s.b.67.1	yes	16
65.2	even	12		650.2.t.g.93.1		16
65.28	even	12	inner	130.2.p.b.93.4	yes	16
65.54	odd	12		650.2.w.g.457.4		16

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
130.2.p.b.7.4	✓	16	1.1	even	1	trivial
130.2.p.b.93.4	yes	16	65.28	even	12	inner
130.2.s.b.33.1	yes	16	5.3	odd	4
130.2.s.b.67.1	yes	16	13.2	odd	12
650.2.t.g.7.1		16	5.4	even	2
650.2.t.g.93.1		16	65.2	even	12
650.2.w.g.293.4		16	5.2	odd	4
650.2.w.g.457.4		16	65.54	odd	12

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.p (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.866025 + 0.500000i) q^{2} +(0.706135 + 2.63533i) q^{3} +(0.500000 + 0.866025i) q^{4} +(0.892496 - 2.05023i) q^{5} +(-0.706135 + 2.63533i) q^{6} +(-1.79804 - 3.11430i) q^{7} +1.00000i q^{8} +(-3.84827 + 2.22180i) q^{9} +O(q^{10})\)	\(q+(0.866025 + 0.500000i) q^{2} +(0.706135 + 2.63533i) q^{3} +(0.500000 + 0.866025i) q^{4} +(0.892496 - 2.05023i) q^{5} +(-0.706135 + 2.63533i) q^{6} +(-1.79804 - 3.11430i) q^{7} +1.00000i q^{8} +(-3.84827 + 2.22180i) q^{9} +(1.79804 - 1.32930i) q^{10} +(0.0725272 + 0.270675i) q^{11} +(-1.92920 + 1.92920i) q^{12} +(-3.60407 - 0.103425i) q^{13} -3.59608i q^{14} +(6.03326 + 0.904283i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-3.52455 - 0.944400i) q^{17} -4.44360 q^{18} +(6.15517 + 1.64927i) q^{19} +(2.22180 - 0.252192i) q^{20} +(6.93755 - 6.93755i) q^{21} +(-0.0725272 + 0.270675i) q^{22} +(2.08013 - 0.557369i) 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} +(1.79804 - 3.11430i) q^{28} +(-0.424336 - 0.244991i) q^{29} +(4.77282 + 3.79976i) q^{30} +(4.41731 + 4.41731i) q^{31} +(-0.866025 + 0.500000i) q^{32} +(-0.662105 + 0.382267i) q^{33} +(-2.58015 - 2.58015i) q^{34} +(-7.98978 + 0.906901i) q^{35} +(-3.84827 - 2.22180i) q^{36} +(0.944883 - 1.63658i) 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} +(9.47687 - 2.53932i) q^{42} +(-3.18964 + 11.9039i) q^{43} +(-0.198148 + 0.198148i) q^{44} +(1.12064 + 9.87280i) q^{45} +(2.08013 + 0.557369i) q^{46} -4.74949 q^{47} +(-2.63533 - 0.706135i) q^{48} +(-2.96590 + 5.13709i) q^{49} +(-1.12064 - 4.87280i) q^{50} -9.95523i q^{51} +(-1.71247 - 3.17293i) q^{52} +(6.50365 - 6.50365i) q^{53} +(-1.01938 - 3.80437i) q^{54} +(0.619677 + 0.0928790i) q^{55} +(3.11430 - 1.79804i) q^{56} +17.3855i q^{57} +(-0.244991 - 0.424336i) q^{58} +(3.49599 - 13.0472i) q^{59} +(2.23350 + 5.67710i) q^{60} +(0.444419 + 0.769757i) q^{61} +(1.61685 + 6.03416i) q^{62} +(13.8387 + 7.98978i) q^{63} -1.00000 q^{64} +(-3.42866 + 7.29687i) q^{65} -0.764533 q^{66} +(3.90510 + 2.25461i) q^{67} +(-0.944400 - 3.52455i) q^{68} +(2.93770 + 5.08825i) q^{69} +(-7.37280 - 3.20949i) q^{70} +(0.951809 - 3.55220i) q^{71} +(-2.22180 - 3.84827i) q^{72} +1.64073i q^{73} +(1.63658 - 0.944883i) q^{74} +(7.23866 - 11.5625i) q^{75} +(1.64927 + 6.15517i) q^{76} +(0.712556 - 0.712556i) q^{77} +(2.81752 - 9.42488i) q^{78} +10.3567i q^{79} +(1.32930 + 1.79804i) q^{80} +(-1.29260 + 2.23886i) q^{81} +(-8.19308 - 2.19533i) q^{82} -15.5903 q^{83} +(9.47687 + 2.53932i) q^{84} +(-5.08188 + 6.38327i) q^{85} +(-8.71427 + 8.71427i) q^{86} +(0.345993 - 1.29126i) q^{87} +(-0.270675 + 0.0725272i) 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} +(-8.52186 + 14.7603i) q^{93} +(-4.11318 - 2.37474i) q^{94} +(8.87486 - 11.1476i) q^{95} +(-1.92920 - 1.92920i) q^{96} +(8.56322 - 4.94398i) q^{97} +(-5.13709 + 2.96590i) q^{98} +(-0.880491 - 0.880491i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 16 q + 8 q^{4} - 2 q^{5}+O(q^{10}) \) 16 * q + 8 * q^4 - 2 * q^5	\( 16 q + 8 q^{4} - 2 q^{5} + 6 q^{11} + 2 q^{13} + 6 q^{15} - 8 q^{16} - 16 q^{17} - 16 q^{18} + 8 q^{20} - 6 q^{22} - 6 q^{23} - 14 q^{25} - 6 q^{26} - 12 q^{27} - 6 q^{29} + 6 q^{30} - 6 q^{33} - 14 q^{34} - 20 q^{37} + 6 q^{38} - 6 q^{39} - 44 q^{41} + 6 q^{42} + 6 q^{44} - 6 q^{46} + 52 q^{47} - 2 q^{49} + 10 q^{52} - 24 q^{53} + 6 q^{54} + 64 q^{55} + 6 q^{56} + 8 q^{58} - 46 q^{59} + 6 q^{61} + 12 q^{62} + 90 q^{63} - 16 q^{64} - 22 q^{65} + 52 q^{66} + 12 q^{67} - 2 q^{68} + 58 q^{69} - 32 q^{70} + 6 q^{71} - 8 q^{72} + 24 q^{74} + 44 q^{75} - 6 q^{76} + 58 q^{77} + 38 q^{78} + 10 q^{80} - 24 q^{81} - 44 q^{82} - 64 q^{83} + 6 q^{84} + 40 q^{85} - 44 q^{87} - 24 q^{89} - 18 q^{90} + 38 q^{91} - 26 q^{93} - 6 q^{95} - 6 q^{97} - 26 q^{99}+O(q^{100}) \) 16 * q + 8 * q^4 - 2 * q^5 + 6 * q^11 + 2 * q^13 + 6 * q^15 - 8 * q^16 - 16 * q^17 - 16 * q^18 + 8 * q^20 - 6 * q^22 - 6 * q^23 - 14 * q^25 - 6 * q^26 - 12 * q^27 - 6 * q^29 + 6 * q^30 - 6 * q^33 - 14 * q^34 - 20 * q^37 + 6 * q^38 - 6 * q^39 - 44 * q^41 + 6 * q^42 + 6 * q^44 - 6 * q^46 + 52 * q^47 - 2 * q^49 + 10 * q^52 - 24 * q^53 + 6 * q^54 + 64 * q^55 + 6 * q^56 + 8 * q^58 - 46 * q^59 + 6 * q^61 + 12 * q^62 + 90 * q^63 - 16 * q^64 - 22 * q^65 + 52 * q^66 + 12 * q^67 - 2 * q^68 + 58 * q^69 - 32 * q^70 + 6 * q^71 - 8 * q^72 + 24 * q^74 + 44 * q^75 - 6 * q^76 + 58 * q^77 + 38 * q^78 + 10 * q^80 - 24 * q^81 - 44 * q^82 - 64 * q^83 + 6 * q^84 + 40 * q^85 - 44 * q^87 - 24 * q^89 - 18 * q^90 + 38 * q^91 - 26 * q^93 - 6 * q^95 - 6 * q^97 - 26 * q^99

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