LMFDB - Embedded newform 130.2.p.b.93.4

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			93.4
Root			$2.63533 - 0.706135i$ of defining polynomial
Character	$\chi$	$=$	130.93
Dual form			130.2.p.b.7.4

$q$-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 $\left(\mathbb{Z}/130\mathbb{Z}\right)^\times$.

$n$	$27$	$41$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{1}{12}\right)$

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 $

$2$	0.866025	−	0.500000i	0.612372	−	0.353553i
$2$	0.866025	−	0.500000i	0.612372	−	0.353553i
$3$	0.706135	−	2.63533i	0.407687	−	1.52151i	−0.391358	−	0.920239i	$-0.627995\pi$
$3$	0.706135	−	2.63533i	0.407687	−	1.52151i	0.799045	−	0.601271i	$-0.205339\pi$
$4$	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	0.295507	+	0.955340i	$0.404511\pi$
$7$	−1.79804	+	3.11430i	−0.679595	+	1.17709i	−0.975103	+	0.221753i	$0.928822\pi$
$8$		−	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	−0.954130	−	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
$13$	−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	−0.659516	−	0.751691i	$-0.729239\pi$
$17$	−3.52455	+	0.944400i	−0.854828	+	0.229051i	−0.195312	+	0.980741i	$0.562572\pi$
$18$	−4.44360			−1.04737
$19$	6.15517	−	1.64927i	1.41209	−	0.378369i	0.529422	−	0.848359i	$-0.322409\pi$
$19$	6.15517	−	1.64927i	1.41209	−	0.378369i	0.882672	+	0.469990i	$0.155742\pi$
$20$	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	0.469080	−	0.883156i	$-0.344586\pi$
$23$	2.08013	+	0.557369i	0.433737	+	0.116219i	−0.0353430	+	0.999375i	$0.511252\pi$
$24$	−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	−0.538881	−	0.842382i	$-0.681153\pi$
$29$	−0.424336	+	0.244991i	−0.0787972	+	0.0454936i	0.460084	+	0.887876i	$0.347819\pi$
$30$	4.77282	−	3.79976i	0.871394	−	0.693739i
$31$	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	$0.0604172\pi$
$32$	−0.866025	−	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	0.933182	−	0.359404i	$-0.117020\pi$
$37$	0.944883	+	1.63658i	0.155338	+	0.269053i	−0.777844	+	0.628457i	$0.783687\pi$
$38$	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	$0.813770\pi$
$42$	9.47687	+	2.53932i	1.46231	+	0.391825i
$43$	−3.18964	−	11.9039i	−0.486416	−	1.81533i	−0.573598	−	0.819137i	$-0.694453\pi$
$43$	−3.18964	−	11.9039i	−0.486416	−	1.81533i	0.0871824	−	0.996192i	$-0.472214\pi$
$44$	−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	0.994836	−	0.101491i	$-0.0323613\pi$
$53$	6.50365	+	6.50365i	0.893345	+	0.893345i	−0.101491	+	0.994836i	$0.532361\pi$
$54$	−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	0.687677	+	0.726017i	$0.258631\pi$
$59$	3.49599	+	13.0472i	0.455140	+	1.69860i	−0.232537	+	0.972588i	$0.574703\pi$
$60$	2.23350	−	5.67710i	0.288344	−	0.732911i
$61$	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	$0.148544\pi$
$62$	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	−0.242116	−	0.970247i	$-0.577842\pi$
$67$	3.90510	−	2.25461i	0.477085	−	0.275445i	0.719201	+	0.694802i	$0.244508\pi$
$68$	−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	0.999126	−	0.0417972i	$-0.0133083\pi$
$71$	0.951809	+	3.55220i	0.112959	+	0.421568i	−0.886167	+	0.463366i	$0.846642\pi$
$72$	−2.22180	+	3.84827i	−0.261842	+	0.453523i
$73$		−	1.64073i		−	0.192033i	−0.995380	−	0.0960165i	$-0.969390\pi$
$73$		−	1.64073i		−	0.192033i	0.995380	−	0.0960165i	$-0.0306101\pi$
$74$	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	$-0.802031\pi$
$79$		−	10.3567i		−	1.16522i	0.812751	−	0.582611i	$-0.197969\pi$
$80$	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	0.397967	−	0.917400i	$-0.369716\pi$
$89$	2.67847	+	0.717694i	0.283917	+	0.0760754i	−0.114050	+	0.993475i	$0.536382\pi$
$90$	−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	0.867170	−	0.498013i	$-0.165937\pi$
$97$	8.56322	+	4.94398i	0.869463	+	0.501985i	0.00229342	+	0.999997i	$0.499270\pi$
$98$	−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	−0.806486	−	0.591253i	$-0.798633\pi$
$101$	−7.01169	+	4.04820i	−0.697689	+	0.402811i	0.108797	+	0.994064i	$0.465300\pi$
$102$	4.97761	+	8.62148i	0.492857	+	0.853654i
$103$	−5.90126	+	5.90126i	−0.581468	+	0.581468i	−0.935307	−	0.353838i	$-0.884876\pi$
$103$	−5.90126	+	5.90126i	−0.581468	+	0.581468i	0.353838	+	0.935307i	$0.384876\pi$
$104$	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	0.105446	−	0.994425i	$-0.466373\pi$
$107$	−3.10786	−	0.832749i	−0.300448	−	0.0805049i	−0.405894	+	0.913920i	$0.633040\pi$
$108$	1.01938	+	3.80437i	0.0980897	+	0.366076i
$109$	6.87889	+	6.87889i	0.658879	+	0.658879i	0.955115	−	0.296236i	$-0.0957316\pi$
$109$	6.87889	+	6.87889i	0.658879	+	0.658879i	−0.296236	+	0.955115i	$0.595732\pi$
$110$	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	0.138644	−	0.990342i	$-0.455725\pi$
$113$	8.01391	−	2.14732i	0.753885	−	0.202003i	0.615241	+	0.788339i	$0.289059\pi$
$114$	−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	−0.821708	−	0.569909i	$-0.806978\pi$
$127$	1.97065	−	7.35455i	0.174866	−	0.652611i	0.996574	−	0.0827017i	$-0.0263549\pi$
$128$	−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	−0.897419	−	0.441179i	$-0.854560\pi$
$137$	−0.779967	+	1.35094i	−0.0666371	+	0.115419i	0.830782	+	0.556598i	$0.187894\pi$
$138$		−	5.87540i		−	0.500148i
$139$	1.78386	+	1.02991i	0.151305	+	0.0873560i	0.573741	−	0.819037i	$-0.305492\pi$
$139$	1.78386	+	1.02991i	0.151305	+	0.0873560i	−0.422436	+	0.906393i	$0.638825\pi$
$140$	−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	0.215652	−	0.976470i	$-0.430812\pi$
$149$	10.8717	−	2.91307i	0.890647	−	0.238648i	0.674995	+	0.737822i	$0.264146\pi$
$150$	12.0501	+	6.39411i	0.983888	+	0.522077i
$151$	−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	$0.793110\pi$
$152$	−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	−0.883803	−	0.467859i	$-0.845025\pi$
$157$	−5.21176	+	5.21176i	−0.415943	+	0.415943i	0.467859	+	0.883803i	$0.345025\pi$
$158$	−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	0.747005	−	0.664818i	$-0.231491\pi$
$163$	6.95501	+	4.01548i	0.544759	+	0.314517i	−0.202247	+	0.979335i	$0.564824\pi$
$164$	−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	−0.984801	−	0.173686i	$-0.944432\pi$
$167$	−8.30703	−	14.3882i	−0.642817	−	1.11339i	0.341984	−	0.939706i	$-0.388901\pi$
$168$	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	0.971175	+	0.238367i	$0.0766120\pi$
$173$	3.27898	+	12.2373i	0.249296	+	0.930386i	−0.721879	+	0.692019i	$0.756721\pi$
$174$	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	0.827367	−	0.561661i	$-0.189838\pi$
$179$	−0.973054	−	1.68538i	−0.0727295	−	0.125971i	−0.900097	+	0.435690i	$0.856504\pi$
$180$	−7.98978	−	5.90690i	−0.595523	−	0.440274i
$181$		−	14.6549i		−	1.08929i	−0.838667	−	0.544644i	$-0.816665\pi$
$181$		−	14.6549i		−	1.08929i	0.838667	−	0.544644i	$-0.183335\pi$
$182$	−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	−0.855086	−	0.518486i	$-0.826496\pi$
$191$	0.296843	−	0.514146i	0.0214788	−	0.0372023i	0.876565	+	0.481283i	$0.159829\pi$
$192$	−0.706135	+	2.63533i	−0.0509609	+	0.190189i
$193$	23.3830	−	13.5002i	1.68315	−	0.971765i	0.723597	−	0.690222i	$-0.242487\pi$
$193$	23.3830	−	13.5002i	1.68315	−	0.971765i	0.959549	−	0.281543i	$-0.0908460\pi$
$194$	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	−0.640047	−	0.768336i	$-0.721085\pi$
$197$	−4.13593	+	2.38788i	−0.294673	+	0.170129i	0.345375	+	0.938465i	$0.387752\pi$
$198$	−0.322282	+	1.20277i	−0.0229036	+	0.0854774i
$199$	2.38884	−	4.13759i	0.169340	−	0.293306i	−0.768848	−	0.639432i	$-0.779170\pi$
$199$	2.38884	−	4.13759i	0.169340	−	0.293306i	0.938188	+	0.346126i	$0.112503\pi$
$200$	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	0.745244	−	0.666792i	$-0.232333\pi$
$211$	−2.97543	−	5.15360i	−0.204837	−	0.354789i	−0.950081	+	0.312004i	$0.899000\pi$
$212$	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	0.988777	−	0.149401i	$-0.0477345\pi$
$223$	5.45066	+	9.44083i	0.365003	+	0.632204i	−0.623773	+	0.781605i	$0.714401\pi$
$224$	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	0.985596	−	0.169120i	$-0.0540925\pi$
$227$	20.0676	+	11.5860i	1.33193	+	0.768991i	0.346336	+	0.938111i	$0.387426\pi$
$228$	−15.0563	−	8.69277i	−0.997129	−	0.575693i
$229$	−11.9365	+	11.9365i	−0.788789	+	0.788789i	−0.981296	−	0.192507i	$-0.938338\pi$
$229$	−11.9365	+	11.9365i	−0.788789	+	0.788789i	0.192507	+	0.981296i	$0.438338\pi$
$230$	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	−0.711780	−	0.702403i	$-0.752111\pi$
$233$	−0.143135	+	0.143135i	−0.00937708	+	0.00937708i	0.702403	+	0.711780i	$0.252111\pi$
$234$	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	0.971204	−	0.238250i	$-0.0765737\pi$
$239$	11.3312	+	11.3312i	0.732954	+	0.732954i	−0.238250	+	0.971204i	$0.576574\pi$
$240$	−3.79976	−	4.77282i	−0.245274	−	0.308084i
$241$	−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	$0.621275\pi$
$242$	10.9215			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	0.495756	−	0.868462i	$-0.334891\pi$
$251$	−0.134294	−	0.0775347i	−0.00847656	−	0.00489395i	−0.504232	+	0.863568i	$0.668224\pi$
$252$		−	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	−0.806880	−	0.590716i	$-0.798845\pi$
$257$	3.00195	−	11.2034i	0.187257	−	0.698851i	0.994136	−	0.108135i	$-0.0344879\pi$
$258$	−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	−0.841707	−	0.539934i	$-0.818449\pi$
$263$	2.54935	−	9.51431i	0.157200	−	0.586678i	0.998907	−	0.0467433i	$-0.0148843\pi$
$264$	−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	0.0587526	−	0.998273i	$-0.481288\pi$
$269$	−12.7339	−	7.35193i	−0.776401	−	0.448255i	−0.835153	+	0.550017i	$0.814621\pi$
$270$	−8.70963	+	1.30542i	−0.530051	+	0.0794456i
$271$	−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
$273$	−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	−0.804944	−	0.593351i	$-0.797804\pi$
$277$	−20.0613	+	5.37542i	−1.20537	+	0.322978i	−0.400426	+	0.916329i	$0.631138\pi$
$278$	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	0.708145	−	0.706067i	$-0.249532\pi$
$281$	0.0348322	+	0.0348322i	0.00207791	+	0.00207791i	−0.706067	+	0.708145i	$0.749532\pi$
$282$	3.35378	+	12.5165i	0.199715	+	0.745345i
$283$	11.6974	+	3.13430i	0.695335	+	0.186315i	0.589140	−	0.808031i	$-0.299467\pi$
$283$	11.6974	+	3.13430i	0.695335	+	0.186315i	0.106195	+	0.994345i	$0.466133\pi$
$284$	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	0.514776	−	0.857325i	$-0.327875\pi$
$293$	0.508367	+	0.293506i	0.0296991	+	0.0171468i	−0.485077	+	0.874471i	$0.661208\pi$
$294$	−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	$0.0723262\pi$
$311$			7.94533i			0.450538i	−0.974297	+	0.225269i	$0.927674\pi$
$312$	9.57095	+	2.27240i	0.541848	+	0.128649i
$313$	−21.1889	−	21.1889i	−1.19767	−	1.19767i	−0.974863	−	0.222805i	$-0.928479\pi$
$313$	−21.1889	−	21.1889i	−1.19767	−	1.19767i	−0.222805	−	0.974863i	$-0.571521\pi$
$314$	−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	$0.229121\pi$
$317$			23.4748i			1.31847i	−0.751935	+	0.659237i	$0.770879\pi$
$318$	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	0.883963	−	0.467558i	$-0.154866\pi$
$331$	−2.09861	−	7.83213i	−0.115350	−	0.430493i	−0.999313	+	0.0370646i	$0.988199\pi$
$332$	−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	0.754437	+	0.656373i	$0.227910\pi$
$337$	25.8990	+	25.8990i	1.41081	+	1.41081i	0.656373	+	0.754437i	$0.272090\pi$
$338$	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	−0.949533	−	0.313667i	$-0.898443\pi$
$347$	−5.29120	−	19.7470i	−0.284047	−	1.06008i	0.665486	−	0.746410i	$-0.268224\pi$
$348$	1.29126	+	0.345993i	0.0692190	+	0.0185472i
$349$	−15.7176	−	4.21153i	−0.841345	−	0.225438i	−0.187688	−	0.982229i	$-0.560099\pi$
$349$	−15.7176	−	4.21153i	−0.841345	−	0.225438i	−0.653657	+	0.756791i	$0.726766\pi$
$350$	−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	0.577521	−	0.816376i	$-0.304020\pi$
$353$	−7.85804	−	13.6105i	−0.418241	−	0.724415i	−0.995763	+	0.0919603i	$0.970687\pi$
$354$	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	−0.682133	−	0.731228i	$-0.738948\pi$
$359$	0.930207	−	0.930207i	0.0490945	−	0.0490945i	0.731228	+	0.682133i	$0.238948\pi$
$360$	−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	0.365820	−	0.930686i	$-0.380789\pi$
$367$	4.16260	+	1.11537i	0.217286	+	0.0582216i	−0.148534	+	0.988907i	$0.547455\pi$
$368$	−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	0.126831	−	0.991924i	$-0.459519\pi$
$373$	14.1495	−	3.79134i	0.732632	−	0.196308i	0.605801	+	0.795616i	$0.292853\pi$
$374$	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	−0.940941	−	0.338570i	$-0.890057\pi$
$379$	0.841456	−	3.14036i	0.0432227	−	0.161309i	0.984164	+	0.177261i	$0.0567235\pi$
$380$	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	−0.705336	−	0.708873i	$-0.749204\pi$
$383$	5.11244	−	8.85501i	0.261234	−	0.452470i	0.966570	+	0.256403i	$0.0825374\pi$
$384$	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	−0.590799	−	0.806819i	$-0.701187\pi$
$397$	8.03622	−	13.9191i	0.403326	−	0.698582i	0.994125	+	0.108237i	$0.0345206\pi$
$398$		−	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	−0.907400	−	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
$403$	−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	−0.906966	−	0.421204i	$-0.861608\pi$
$409$	−29.9680	+	8.02989i	−1.48182	+	0.397052i	−0.574854	+	0.818256i	$0.694941\pi$
$410$	−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	−0.579472	−	0.814992i	$-0.696741\pi$
$419$	−3.34480	+	1.93112i	−0.163404	+	0.0943415i	0.416068	+	0.909334i	$0.363408\pi$
$420$	13.6643	+	17.1634i	0.666748	+	0.837490i
$421$	−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	$0.287886\pi$
$422$	−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	−0.738323	−	0.674447i	$-0.764382\pi$
$431$	−35.6033	−	9.53989i	−1.71495	−	0.459520i	−0.976630	+	0.214927i	$0.931049\pi$
$432$	3.80437	+	1.01938i	0.183038	+	0.0490448i
$433$	2.62838	+	9.80926i	0.126312	+	0.471403i	0.999883	−	0.0152937i	$-0.00486834\pi$
$433$	2.62838	+	9.80926i	0.126312	+	0.471403i	−0.873571	+	0.486697i	$0.838202\pi$
$434$	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	0.681902	−	0.731443i	$-0.261153\pi$
$439$	−6.12850	−	10.6149i	−0.292497	−	0.506620i	−0.974400	+	0.224823i	$0.927820\pi$
$440$	−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	0.931983	−	0.362501i	$-0.118077\pi$
$443$	11.9862	+	11.9862i	0.569483	+	0.569483i	−0.362501	+	0.931983i	$0.618077\pi$
$444$	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	0.937639	−	0.347611i	$-0.113007\pi$
$449$	−1.02103	−	3.81054i	−0.0481855	−	0.179831i	−0.985824	+	0.167780i	$0.946340\pi$
$450$	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	−0.609917	−	0.792466i	$-0.708797\pi$
$457$	−4.88647	+	2.82121i	−0.228580	+	0.131970i	0.381337	+	0.924436i	$0.375464\pi$
$458$	−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	0.657945	+	0.753066i	$0.271426\pi$
$461$	9.97712	+	37.2351i	0.464681	+	1.73421i	−0.193264	+	0.981147i	$0.561907\pi$
$462$	1.37466	−	2.38098i	0.0639551	−	0.110773i
$463$		−	2.77121i		−	0.128789i	−0.997925	−	0.0643946i	$-0.979488\pi$
$463$		−	2.77121i		−	0.128789i	0.997925	−	0.0643946i	$-0.0205116\pi$
$464$	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	0.851477	+	0.524392i	$0.175707\pi$
$467$	29.7328	+	29.7328i	1.37587	+	1.37587i	0.524392	+	0.851477i	$0.324293\pi$
$468$	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	−0.190681	−	0.981652i	$-0.561070\pi$
$479$	−18.5297	−	4.96501i	−0.846641	−	0.226857i	−0.655961	+	0.754795i	$0.727736\pi$
$480$	−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	0.436332	−	0.899786i	$-0.356277\pi$
$487$	−2.75278	−	1.58932i	−0.124740	−	0.0720188i	−0.561072	+	0.827767i	$0.689611\pi$
$488$	−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	−0.737349	−	0.675512i	$-0.763922\pi$
$491$	−11.5449	+	6.66543i	−0.521012	+	0.300806i	0.216337	+	0.976319i	$0.430589\pi$
$492$	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	0.760536	−	0.649295i	$-0.224936\pi$
$499$	2.48494	+	2.48494i	0.111241	+	0.111241i	−0.649295	+	0.760536i	$0.724936\pi$
$500$	−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	0.606246	−	0.795278i	$-0.292675\pi$
$503$	34.2898	−	9.18793i	1.52891	−	0.409670i	0.922663	+	0.385608i	$0.126008\pi$
$504$	−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	−0.865075	−	0.501643i	$-0.832729\pi$
$509$	3.04401	−	11.3604i	0.134923	−	0.503541i	0.999998	−	0.00189794i	$-0.000604134\pi$
$510$	−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	−0.408026	−	0.912970i	$-0.633783\pi$
$523$	9.18930	−	34.2949i	0.401820	−	1.49961i	0.809846	−	0.586642i	$-0.199550\pi$
$524$	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	0.999524	−	0.0308394i	$-0.00981804\pi$
$541$	22.5310	+	22.5310i	0.968685	+	0.968685i	−0.0308394	+	0.999524i	$0.509818\pi$
$542$	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	−0.650044	−	0.759897i	$-0.725250\pi$
$547$	2.56923	−	2.56923i	0.109853	−	0.109853i	0.759897	+	0.650044i	$0.225250\pi$
$548$	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	0.953121	−	0.302590i	$-0.0978512\pi$
$557$	5.06262	+	8.76871i	0.214510	+	0.371542i	−0.738611	+	0.674132i	$0.764518\pi$
$558$	−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	0.998461	+	0.0554522i	$0.0176600\pi$
$563$	3.83188	+	14.3008i	0.161495	+	0.602706i	−0.836967	+	0.547254i	$0.815673\pi$
$564$	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	0.831558	−	0.555438i	$-0.187449\pi$
$569$	−1.55633	−	2.69564i	−0.0652447	−	0.113007i	−0.896802	+	0.442431i	$0.854116\pi$
$570$	23.1107	−	31.2599i	0.968000	−	1.30933i
$571$		−	18.1836i		−	0.760959i	−0.924789	−	0.380479i	$-0.875759\pi$
$571$		−	18.1836i		−	0.760959i	0.924789	−	0.380479i	$-0.124241\pi$
$572$	0.734633	+	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	$-0.967224\pi$
$577$		−	4.93811i		−	0.205576i	0.994703	−	0.102788i	$-0.0327764\pi$
$578$	−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	−0.940911	−	0.338654i	$-0.890028\pi$
$587$	−27.0890	+	15.6399i	−1.11808	+	0.645526i	−0.177173	+	0.984180i	$0.556695\pi$
$588$	−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	$0.00621368\pi$
$593$			0.950667i			0.0390392i	−0.999809	+	0.0195196i	$0.993786\pi$
$594$	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	$-0.898177\pi$
$599$		−	15.3924i		−	0.628917i	0.949271	−	0.314458i	$-0.101823\pi$
$600$	11.5625	−	7.23866i	0.472038	−	0.295517i
$601$	−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	$0.870537\pi$
$602$	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	0.920210	−	0.391425i	$-0.128018\pi$
$607$	−1.78443	−	6.65959i	−0.0724279	−	0.270304i	−0.992638	+	0.121121i	$0.961351\pi$
$608$	−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	0.789247	+	0.614076i	$0.210471\pi$
$613$	22.9373	+	39.7286i	0.926429	+	1.60462i	0.137182	+	0.990546i	$0.456196\pi$
$614$	−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	0.180614	−	0.983554i	$-0.442191\pi$
$617$	−14.4283	−	8.33018i	−0.580861	−	0.335360i	−0.761475	+	0.648194i	$0.775525\pi$
$618$	19.7189	+	11.3847i	0.793209	+	0.457959i
$619$	1.94079	−	1.94079i	0.0780070	−	0.0780070i	−0.667027	−	0.745034i	$-0.732433\pi$
$619$	1.94079	−	1.94079i	0.0780070	−	0.0780070i	0.745034	+	0.667027i	$0.232433\pi$
$620$	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	0.535681	−	0.844421i	$-0.320055\pi$
$631$	35.7153	−	9.56989i	1.42180	−	0.380971i	0.886123	+	0.463449i	$0.153388\pi$
$632$	−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	−0.146217	−	0.989253i	$-0.546710\pi$
$641$	−27.2432	−	15.7289i	−1.07604	−	0.621254i	−0.929826	+	0.367998i	$0.880043\pi$
$642$			8.77828i			0.346451i
$643$	8.90887	−	15.4306i	0.351331	−	0.608524i	−0.635152	−	0.772388i	$-0.719062\pi$
$643$	8.90887	−	15.4306i	0.351331	−	0.608524i	0.986483	+	0.163864i	$0.0523957\pi$
$644$	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	0.478516	+	0.878079i	$0.341175\pi$
$647$	−9.53681	+	35.5918i	−0.374931	+	1.39926i	−0.853446	+	0.521181i	$0.825492\pi$
$648$	−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	−0.387961	−	0.921676i	$-0.626820\pi$
$653$	10.4480	−	38.9924i	0.408861	−	1.52589i	0.796822	−	0.604214i	$-0.206513\pi$
$654$	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	0.990539	−	0.137230i	$-0.0438198\pi$
$659$	35.0913	+	20.2600i	1.36696	+	0.789217i	0.376425	+	0.926447i	$0.377153\pi$
$660$	−1.37466	−	1.01630i	−0.0535086	−	0.0395593i
$661$	−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
$663$	−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	−0.459919	−	0.887961i	$-0.652122\pi$
$673$	−33.7820	−	9.05187i	−1.30220	−	0.348924i	−0.842282	+	0.539037i	$0.818788\pi$
$674$	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	−0.224234	+	0.974535i	$0.571988\pi$
$677$	−31.1911	+	31.1911i	−1.19877	+	1.19877i	−0.974535	+	0.224234i	$0.928012\pi$
$678$	−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	0.308265	−	0.951301i	$-0.400252\pi$
$683$	−9.44631	−	5.45383i	−0.361453	−	0.208685i	−0.669718	+	0.742615i	$0.733585\pi$
$684$	−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	0.384299	−	0.923209i	$-0.374443\pi$
$691$	6.71649	+	1.79968i	0.255507	+	0.0684630i	−0.128792	+	0.991672i	$0.541110\pi$
$692$	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	$-0.784407\pi$
$701$		−	33.1853i		−	1.25339i	0.779263	−	0.626697i	$-0.215593\pi$
$702$	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	0.934242	−	0.356641i	$-0.116078\pi$
$709$	−1.41538	−	5.28226i	−0.0531557	−	0.198380i	−0.987397	+	0.158261i	$0.949411\pi$
$710$	−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	−0.964986	−	0.262300i	$-0.915519\pi$
$719$	−6.84658	+	11.8586i	−0.255334	+	0.442252i	0.709652	+	0.704552i	$0.248852\pi$
$720$	−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	0.205548	−	0.978647i	$-0.434102\pi$
$727$	−20.8450	−	20.8450i	−0.773099	−	0.773099i	−0.978647	+	0.205548i	$0.934102\pi$
$728$	−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	0.860181	−	0.509990i	$-0.170351\pi$
$739$	36.7025	+	9.83441i	1.35012	+	0.361765i	0.489943	+	0.871754i	$0.337017\pi$
$740$	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	0.931827	+	0.362902i	$0.118214\pi$
$743$	21.2666	+	36.8348i	0.780196	+	1.35134i	−0.151631	+	0.988437i	$0.548453\pi$
$744$	−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	−0.982474	−	0.186398i	$-0.940319\pi$
$751$	−35.9624	+	20.7629i	−1.31229	+	0.757649i	−0.329812	+	0.944047i	$0.606985\pi$
$752$	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	0.904984	−	0.425446i	$-0.139883\pi$
$757$	40.6101	+	10.8814i	1.47600	+	0.395493i	0.571016	+	0.820939i	$0.306549\pi$
$758$	−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	0.254546	−	0.967061i	$-0.418074\pi$
$761$	26.4419	−	7.08509i	0.958519	−	0.256834i	0.703973	+	0.710226i	$0.251407\pi$
$762$	−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	−0.680818	−	0.732452i	$-0.738376\pi$
$769$	7.62636	−	28.4620i	0.275014	−	1.02637i	0.955832	−	0.293913i	$-0.0949576\pi$
$770$	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	−0.759618	−	0.650369i	$-0.774614\pi$
$773$	5.09981	−	8.83313i	0.183427	−	0.317706i	0.943045	+	0.332664i	$0.107947\pi$
$774$	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	−0.356426	−	0.934324i	$-0.616005\pi$
$787$	17.7000	−	30.6572i	0.630935	−	1.09281i	0.987361	−	0.158488i	$-0.0506620\pi$
$788$			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	0.226801	−	0.973941i	$-0.427173\pi$
$797$	25.6957	−	6.88514i	0.910188	−	0.243884i	0.683386	+	0.730057i	$0.260506\pi$
$798$	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	0.0663064	−	0.997799i	$-0.478879\pi$
$809$	27.4070	−	15.8234i	0.963579	−	0.556323i	0.897273	+	0.441477i	$0.145545\pi$
$810$	0.651968	−	5.74382i	0.0229078	−	0.201817i
$811$	−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	$0.376982\pi$
$812$	−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	0.890173	−	0.455622i	$-0.150583\pi$
$821$	41.0678	+	11.0041i	1.43328	+	0.384045i	0.543102	+	0.839667i	$0.317250\pi$
$822$	4.11094	+	1.10152i	0.143386	+	0.0384201i
$823$	−8.50444	−	31.7390i	−0.296446	−	1.10635i	−0.940062	−	0.341004i	$-0.889233\pi$
$823$	−8.50444	−	31.7390i	−0.296446	−	1.10635i	0.643616	−	0.765349i	$-0.277434\pi$
$824$	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	0.958586	+	0.284803i	$0.0919283\pi$
$829$	20.9015	+	36.2025i	0.725940	+	1.25736i	−0.232646	+	0.972561i	$0.574738\pi$
$830$	−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	0.966093	−	0.258193i	$-0.0831272\pi$
$839$	0.00971015	+	0.0362388i	0.000335232	+	0.00125110i	−0.965758	+	0.259445i	$0.916461\pi$
$840$	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	$0.0957419\pi$
$853$			17.3057i			0.592535i	−0.955105	+	0.296267i	$0.904258\pi$
$854$	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	0.845891	−	0.533355i	$-0.179069\pi$
$857$	9.14936	+	9.14936i	0.312536	+	0.312536i	−0.533355	+	0.845891i	$0.679069\pi$
$858$	2.75543	−	0.0790718i	0.0940688	−	0.00269947i
$859$			39.7857i			1.35747i	0.734383	+	0.678735i	$0.237472\pi$
$859$			39.7857i			1.35747i	−0.734383	+	0.678735i	$0.762528\pi$
$860$	−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	−0.259142	−	0.965839i	$-0.583440\pi$
$877$	−36.2820	−	20.9474i	−1.22515	−	0.707343i	−0.966012	+	0.258496i	$0.916773\pi$
$878$	−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	−0.0907593	−	0.995873i	$-0.528929\pi$
$881$	21.5581	−	12.4466i	0.726312	−	0.419337i	0.817072	+	0.576536i	$0.195596\pi$
$882$	13.1793	+	22.8272i	0.443769	+	0.768631i
$883$	17.5190	−	17.5190i	0.589561	−	0.589561i	−0.347951	−	0.937513i	$-0.613123\pi$
$883$	17.5190	−	17.5190i	0.589561	−	0.589561i	0.937513	+	0.347951i	$0.113123\pi$
$884$	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	−0.108808	−	0.994063i	$-0.534704\pi$
$887$	−20.8499	−	5.58671i	−0.700071	−	0.187583i	−0.591262	+	0.806479i	$0.701370\pi$
$888$	−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	−0.469537	−	0.882913i	$-0.655579\pi$
$907$	11.4006	−	42.5476i	0.378550	−	1.41277i	0.848087	−	0.529856i	$-0.177754\pi$
$908$	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	0.422732	−	0.906255i	$-0.361071\pi$
$919$	−4.56976	−	2.63835i	−0.150743	−	0.0870313i	−0.573474	+	0.819224i	$0.694405\pi$
$920$	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	0.501209	−	0.865326i	$-0.332889\pi$
$929$	41.6939	−	11.1718i	1.36793	−	0.366536i	0.866723	+	0.498790i	$0.166222\pi$
$930$	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	−0.319314	−	0.947649i	$-0.603452\pi$
$937$	19.2336	−	19.2336i	0.628336	−	0.628336i	0.947649	+	0.319314i	$0.103452\pi$
$938$	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	−0.838827	−	0.544398i	$-0.816758\pi$
$941$	−9.03183	+	9.03183i	−0.294429	+	0.294429i	0.544398	+	0.838827i	$0.316758\pi$
$942$	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	0.799636	−	0.600485i	$-0.205026\pi$
$947$	−3.69947	−	6.40767i	−0.120217	−	0.208221i	−0.919853	+	0.392263i	$0.871692\pi$
$948$	−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	0.971923	+	0.235299i	$0.0756070\pi$
$953$	7.65169	+	28.5565i	0.247863	+	0.925036i	−0.724060	+	0.689737i	$0.757726\pi$
$954$	−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	$-0.934004\pi$
$967$		−	12.8025i		−	0.411699i	0.978584	−	0.205850i	$-0.0659958\pi$
$968$	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	−0.0882757	−	0.996096i	$-0.528136\pi$
$971$	25.5054	−	44.1766i	0.818507	−	1.41770i	0.906782	−	0.421599i	$-0.138531\pi$
$972$	−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	−0.971657	−	0.236395i	$-0.924034\pi$
$977$	−39.1575	+	22.6076i	−1.25276	+	0.723282i	−0.281104	+	0.959677i	$0.590701\pi$
$978$	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	$-0.749485\pi$
$983$		−	44.4113i		−	1.41650i	0.705961	−	0.708251i	$-0.250515\pi$
$984$	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	0.790254	−	0.612779i	$-0.209948\pi$
$991$	−4.26730	−	7.39118i	−0.135555	−	0.234789i	−0.925809	+	0.377991i	$0.876615\pi$
$992$	−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	0.979205	+	0.202872i	$0.0650277\pi$
$997$	7.34520	+	27.4127i	0.232625	+	0.868168i	−0.746580	+	0.665295i	$0.768306\pi$
$998$	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.93.4	yes	16
5.2	odd	4		130.2.s.b.67.1	yes	16
5.3	odd	4		650.2.w.g.457.4		16
5.4	even	2		650.2.t.g.93.1		16
13.7	odd	12		130.2.s.b.33.1	yes	16
65.7	even	12	inner	130.2.p.b.7.4	✓	16
65.33	even	12		650.2.t.g.7.1		16
65.59	odd	12		650.2.w.g.293.4		16

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

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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