LMFDB - Embedded newform 130.2.p.b.37.3

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			37.3
Root			$0.316559 + 1.18141i$ of defining polynomial
Character	$\chi$	$=$	130.37
Dual form			130.2.p.b.123.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.866025 + 0.500000i) q^{2} +(1.18141 + 0.316559i) q^{3} +(0.500000 - 0.866025i) q^{4} +(1.44768 - 1.70418i) q^{5} +(-1.18141 + 0.316559i) q^{6} +(0.401632 - 0.695647i) q^{7} +1.00000i q^{8} +(-1.30255 - 0.752028i) q^{9} +O(q^{10})$	\(q+(-0.866025 + 0.500000i) q^{2} +(1.18141 + 0.316559i) q^{3} +(0.500000 - 0.866025i) q^{4} +(1.44768 - 1.70418i) q^{5} +(-1.18141 + 0.316559i) q^{6} +(0.401632 - 0.695647i) q^{7} +1.00000i q^{8} +(-1.30255 - 0.752028i) q^{9} +(-0.401632 + 2.19970i) q^{10} +(3.73810 + 1.00162i) q^{11} +(0.864854 - 0.864854i) q^{12} +(-2.61463 + 2.48268i) q^{13} +0.803265i q^{14} +(2.24977 - 1.55507i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(1.73250 + 6.46578i) q^{17} +1.50406 q^{18} +(-1.33710 - 4.99013i) q^{19} +(-0.752028 - 2.10581i) q^{20} +(0.694707 - 0.694707i) q^{21} +(-3.73810 + 1.00162i) q^{22} +(-0.912926 + 3.40709i) q^{23} +(-0.316559 + 1.18141i) q^{24} +(-0.808474 - 4.93420i) q^{25} +(1.02299 - 3.45738i) q^{26} +(-3.89535 - 3.89535i) q^{27} +(-0.401632 - 0.695647i) q^{28} +(-6.81573 + 3.93506i) q^{29} +(-1.17083 + 2.47162i) q^{30} +(-3.38793 - 3.38793i) q^{31} +(0.866025 + 0.500000i) q^{32} +(4.09917 + 2.36666i) q^{33} +(-4.73328 - 4.73328i) q^{34} +(-0.604077 - 1.69153i) q^{35} +(-1.30255 + 0.752028i) q^{36} +(-0.152088 - 0.263424i) q^{37} +(3.65303 + 3.65303i) q^{38} +(-3.87487 + 2.10539i) q^{39} +(1.70418 + 1.44768i) q^{40} +(0.821459 - 3.06573i) q^{41} +(-0.254280 + 0.948987i) q^{42} +(-2.55575 + 0.684811i) q^{43} +(2.73648 - 2.73648i) q^{44} +(-3.16726 + 1.13109i) q^{45} +(-0.912926 - 3.40709i) q^{46} -4.23250 q^{47} +(-0.316559 - 1.18141i) q^{48} +(3.17738 + 5.50339i) q^{49} +(3.16726 + 3.86891i) q^{50} +8.18719i q^{51} +(0.842752 + 3.50568i) q^{52} +(1.89730 - 1.89730i) q^{53} +(5.32115 + 1.42580i) q^{54} +(7.11850 - 4.92039i) q^{55} +(0.695647 + 0.401632i) q^{56} -6.31867i q^{57} +(3.93506 - 6.81573i) q^{58} +(10.8948 - 2.91926i) q^{59} +(-0.221841 - 2.72590i) q^{60} +(-1.81958 + 3.15160i) q^{61} +(4.62800 + 1.24007i) q^{62} +(-1.04629 + 0.604077i) q^{63} -1.00000 q^{64} +(0.445812 + 8.04992i) q^{65} -4.73331 q^{66} +(0.521755 - 0.301236i) q^{67} +(6.46578 + 1.73250i) q^{68} +(-2.15708 + 3.73618i) q^{69} +(1.36891 + 1.16287i) q^{70} +(6.02575 - 1.61459i) q^{71} +(0.752028 - 1.30255i) q^{72} +8.89174i q^{73} +(0.263424 + 0.152088i) q^{74} +(0.606823 - 6.08526i) q^{75} +(-4.99013 - 1.33710i) q^{76} +(2.19812 - 2.19812i) q^{77} +(2.30304 - 3.76076i) q^{78} -7.04027i q^{79} +(-2.19970 - 0.401632i) q^{80} +(-1.11283 - 1.92747i) q^{81} +(0.821459 + 3.06573i) q^{82} +3.58111 q^{83} +(-0.254280 - 0.948987i) q^{84} +(13.5270 + 6.40785i) q^{85} +(1.87094 - 1.87094i) q^{86} +(-9.29786 + 2.49135i) q^{87} +(-1.00162 + 3.73810i) q^{88} +(-4.40686 + 16.4466i) q^{89} +(2.17738 - 2.56318i) q^{90} +(0.676953 + 2.81599i) q^{91} +(2.49416 + 2.49416i) q^{92} +(-2.93007 - 5.07502i) q^{93} +(3.66545 - 2.11625i) q^{94} +(-10.4398 - 4.94542i) q^{95} +(0.864854 + 0.864854i) q^{96} +(-6.40229 - 3.69636i) q^{97} +(-5.50339 - 3.17738i) q^{98} +(-4.11582 - 4.11582i) 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 $\left(\mathbb{Z}/130\mathbb{Z}\right)^\times$.

$n$	$27$	$41$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{7}{12}\right)$

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
$3$	1.18141	+	0.316559i	0.682089	+	0.182765i	0.583194	−	0.812333i	$-0.301803\pi$
$3$	1.18141	+	0.316559i	0.682089	+	0.182765i	0.0988946	+	0.995098i	$0.468469\pi$
$4$	0.500000	−	0.866025i	0.250000	−	0.433013i
$5$	1.44768	−	1.70418i	0.647420	−	0.762133i
$5$	1.44768	−	1.70418i	0.647420	−	0.762133i
$6$	−1.18141	+	0.316559i	−0.482310	+	0.129234i
$7$	0.401632	−	0.695647i	0.151803	−	0.262930i	−0.780088	−	0.625670i	$-0.784825\pi$
$7$	0.401632	−	0.695647i	0.151803	−	0.262930i	0.931890	+	0.362740i	$0.118159\pi$
$8$			1.00000i			0.353553i
$9$	−1.30255	−	0.752028i	−0.434183	−	0.250676i
$10$	−0.401632	+	2.19970i	−0.127007	+	0.695607i
$11$	3.73810	+	1.00162i	1.12708	+	0.302000i	0.773745	−	0.633497i	$-0.218381\pi$
$11$	3.73810	+	1.00162i	1.12708	+	0.302000i	0.353335	+	0.935497i	$0.385048\pi$
$12$	0.864854	−	0.864854i	0.249662	−	0.249662i
$13$	−2.61463	+	2.48268i	−0.725168	+	0.688572i
$13$	−2.61463	+	2.48268i	−0.725168	+	0.688572i
$14$			0.803265i			0.214681i
$15$	2.24977	−	1.55507i	0.580889	−	0.401517i
$16$	−0.500000	−	0.866025i	−0.125000	−	0.216506i
$17$	1.73250	+	6.46578i	0.420193	+	1.56818i	0.774201	+	0.632940i	$0.218152\pi$
$17$	1.73250	+	6.46578i	0.420193	+	1.56818i	−0.354008	+	0.935242i	$0.615181\pi$
$18$	1.50406			0.354509
$19$	−1.33710	−	4.99013i	−0.306752	−	1.14481i	−0.931427	−	0.363929i	$-0.881435\pi$
$19$	−1.33710	−	4.99013i	−0.306752	−	1.14481i	0.624675	−	0.780885i	$-0.285232\pi$
$20$	−0.752028	−	2.10581i	−0.168158	−	0.470874i
$21$	0.694707	−	0.694707i	0.151597	−	0.151597i
$22$	−3.73810	+	1.00162i	−0.796966	+	0.213546i
$23$	−0.912926	+	3.40709i	−0.190358	+	0.710426i	0.803062	+	0.595896i	$0.203203\pi$
$23$	−0.912926	+	3.40709i	−0.190358	+	0.710426i	−0.993420	+	0.114530i	$0.963464\pi$
$24$	−0.316559	+	1.18141i	−0.0646172	+	0.241155i
$25$	−0.808474	−	4.93420i	−0.161695	−	0.986841i
$26$	1.02299	−	3.45738i	0.200626	−	0.678048i
$27$	−3.89535	−	3.89535i	−0.749660	−	0.749660i
$28$	−0.401632	−	0.695647i	−0.0759014	−	0.131465i
$29$	−6.81573	+	3.93506i	−1.26565	+	0.730723i	−0.974162	−	0.225852i	$-0.927483\pi$
$29$	−6.81573	+	3.93506i	−1.26565	+	0.730723i	−0.291487	+	0.956575i	$0.594150\pi$
$30$	−1.17083	+	2.47162i	−0.213763	+	0.451253i
$31$	−3.38793	−	3.38793i	−0.608490	−	0.608490i	0.334061	−	0.942551i	$-0.391581\pi$
$31$	−3.38793	−	3.38793i	−0.608490	−	0.608490i	−0.942551	+	0.334061i	$0.891581\pi$
$32$	0.866025	+	0.500000i	0.153093	+	0.0883883i
$33$	4.09917	+	2.36666i	0.713574	+	0.411982i
$34$	−4.73328	−	4.73328i	−0.811751	−	0.811751i
$35$	−0.604077	−	1.69153i	−0.102108	−	0.285920i
$36$	−1.30255	+	0.752028i	−0.217092	+	0.125338i
$37$	−0.152088	−	0.263424i	−0.0250031	−	0.0433066i	0.853253	−	0.521497i	$-0.174626\pi$
$37$	−0.152088	−	0.263424i	−0.0250031	−	0.0433066i	−0.878256	+	0.478190i	$0.841293\pi$
$38$	3.65303	+	3.65303i	0.592599	+	0.592599i
$39$	−3.87487	+	2.10539i	−0.620476	+	0.337132i
$40$	1.70418	+	1.44768i	0.269455	+	0.228898i
$41$	0.821459	−	3.06573i	0.128290	−	0.478786i	−0.871645	−	0.490137i	$-0.836947\pi$
$41$	0.821459	−	3.06573i	0.128290	−	0.478786i	0.999936	+	0.0113511i	$0.00361326\pi$
$42$	−0.254280	+	0.948987i	−0.0392363	+	0.146432i
$43$	−2.55575	+	0.684811i	−0.389748	+	0.104433i	−0.448371	−	0.893848i	$-0.647996\pi$
$43$	−2.55575	+	0.684811i	−0.389748	+	0.104433i	0.0586230	+	0.998280i	$0.481329\pi$
$44$	2.73648	−	2.73648i	0.412540	−	0.412540i
$45$	−3.16726	+	1.13109i	−0.472147	+	0.168613i
$46$	−0.912926	−	3.40709i	−0.134604	−	0.502347i
$47$	−4.23250			−0.617374			−0.308687	−	0.951164i	$-0.599890\pi$
$47$	−4.23250			−0.617374			−0.308687	+	0.951164i	$0.599890\pi$
$48$	−0.316559	−	1.18141i	−0.0456913	−	0.170522i
$49$	3.17738	+	5.50339i	0.453912	+	0.786198i
$50$	3.16726	+	3.86891i	0.447918	+	0.547146i
$51$			8.18719i			1.14644i
$52$	0.842752	+	3.50568i	0.116869	+	0.486150i
$53$	1.89730	−	1.89730i	0.260614	−	0.260614i	−0.564690	−	0.825303i	$-0.691004\pi$
$53$	1.89730	−	1.89730i	0.260614	−	0.260614i	0.825303	+	0.564690i	$0.191004\pi$
$54$	5.32115	+	1.42580i	0.724116	+	0.194026i
$55$	7.11850	−	4.92039i	0.959859	−	0.663465i
$56$	0.695647	+	0.401632i	0.0929598	+	0.0536704i
$57$		−	6.31867i		−	0.836929i
$58$	3.93506	−	6.81573i	0.516699	−	0.894949i
$59$	10.8948	−	2.91926i	1.41839	−	0.380056i	0.533476	−	0.845815i	$-0.320886\pi$
$59$	10.8948	−	2.91926i	1.41839	−	0.380056i	0.884911	+	0.465760i	$0.154219\pi$
$60$	−0.221841	−	2.72590i	−0.0286396	−	0.351912i
$61$	−1.81958	+	3.15160i	−0.232973	+	0.403521i	−0.958682	−	0.284481i	$-0.908179\pi$
$61$	−1.81958	+	3.15160i	−0.232973	+	0.403521i	0.725709	+	0.688002i	$0.241512\pi$
$62$	4.62800	+	1.24007i	0.587757	+	0.157489i
$63$	−1.04629	+	0.604077i	−0.131820	+	0.0761066i
$64$	−1.00000			−0.125000
$65$	0.445812	+	8.04992i	0.0552961	+	0.998470i
$66$	−4.73331			−0.582631
$67$	0.521755	−	0.301236i	0.0637426	−	0.0368018i	−0.467790	−	0.883840i	$-0.654950\pi$
$67$	0.521755	−	0.301236i	0.0637426	−	0.0368018i	0.531533	+	0.847038i	$0.321616\pi$
$68$	6.46578	+	1.73250i	0.784091	+	0.210097i
$69$	−2.15708	+	3.73618i	−0.259682	+	0.449783i
$70$	1.36891	+	1.16287i	0.163616	+	0.138989i
$71$	6.02575	−	1.61459i	0.715125	−	0.191617i	0.117129	−	0.993117i	$-0.462631\pi$
$71$	6.02575	−	1.61459i	0.715125	−	0.191617i	0.597995	+	0.801500i	$0.295964\pi$
$72$	0.752028	−	1.30255i	0.0886273	−	0.153507i
$73$			8.89174i			1.04070i	0.853953	+	0.520350i	$0.174198\pi$
$73$			8.89174i			1.04070i	−0.853953	+	0.520350i	$0.825802\pi$
$74$	0.263424	+	0.152088i	0.0306224	+	0.0176799i
$75$	0.606823	−	6.08526i	0.0700699	−	0.702665i
$76$	−4.99013	−	1.33710i	−0.572407	−	0.153376i
$77$	2.19812	−	2.19812i	0.250499	−	0.250499i
$78$	2.30304	−	3.76076i	0.260768	−	0.425822i
$79$		−	7.04027i		−	0.792092i	−0.918231	−	0.396046i	$-0.870382\pi$
$79$		−	7.04027i		−	0.792092i	0.918231	−	0.396046i	$-0.129618\pi$
$80$	−2.19970	−	0.401632i	−0.245934	−	0.0449039i
$81$	−1.11283	−	1.92747i	−0.123647	−	0.214164i
$82$	0.821459	+	3.06573i	0.0907150	+	0.338553i
$83$	3.58111			0.393078			0.196539	−	0.980496i	$-0.437030\pi$
$83$	3.58111			0.393078			0.196539	+	0.980496i	$0.437030\pi$
$84$	−0.254280	−	0.948987i	−0.0277442	−	0.103543i
$85$	13.5270	+	6.40785i	1.46721	+	0.695029i
$86$	1.87094	−	1.87094i	0.201748	−	0.201748i
$87$	−9.29786	+	2.49135i	−0.996835	+	0.267101i
$88$	−1.00162	+	3.73810i	−0.106773	+	0.398483i
$89$	−4.40686	+	16.4466i	−0.467126	+	1.74334i	0.182617	+	0.983184i	$0.441543\pi$
$89$	−4.40686	+	16.4466i	−0.467126	+	1.74334i	−0.649743	+	0.760154i	$0.725123\pi$
$90$	2.17738	−	2.56318i	0.229516	−	0.270183i
$91$	0.676953	+	2.81599i	0.0709640	+	0.295196i
$92$	2.49416	+	2.49416i	0.260034	+	0.260034i
$93$	−2.93007	−	5.07502i	−0.303834	−	0.526255i
$94$	3.66545	−	2.11625i	0.378063	−	0.218275i
$95$	−10.4398	−	4.94542i	−1.07110	−	0.507390i
$96$	0.864854	+	0.864854i	0.0882688	+	0.0882688i
$97$	−6.40229	−	3.69636i	−0.650054	−	0.375309i	0.138423	−	0.990373i	$-0.455797\pi$
$97$	−6.40229	−	3.69636i	−0.650054	−	0.375309i	−0.788477	+	0.615064i	$0.789130\pi$
$98$	−5.50339	−	3.17738i	−0.555926	−	0.320964i
$99$	−4.11582	−	4.11582i	−0.413655	−	0.413655i
$100$	−4.67738	−	1.76694i	−0.467738	−	0.176694i
$101$	−2.16168	+	1.24805i	−0.215095	+	0.124185i	−0.603677	−	0.797229i	$-0.706298\pi$
$101$	−2.16168	+	1.24805i	−0.215095	+	0.124185i	0.388582	+	0.921414i	$0.372965\pi$
$102$	−4.09360	−	7.09032i	−0.405326	−	0.702046i
$103$	−12.4359	−	12.4359i	−1.22534	−	1.22534i	−0.965706	−	0.259639i	$-0.916397\pi$
$103$	−12.4359	−	12.4359i	−1.22534	−	1.22534i	−0.259639	−	0.965706i	$-0.583603\pi$
$104$	−2.48268	−	2.61463i	−0.243447	−	0.256385i
$105$	−0.178197	−	2.18962i	−0.0173903	−	0.213685i
$106$	−0.694459	+	2.59176i	−0.0674518	+	0.251734i
$107$	−0.461661	+	1.72294i	−0.0446305	+	0.166563i	−0.984644	−	0.174574i	$-0.944145\pi$
$107$	−0.461661	+	1.72294i	−0.0446305	+	0.166563i	0.940014	+	0.341137i	$0.110812\pi$
$108$	−5.32115	+	1.42580i	−0.512028	+	0.137197i
$109$	0.310245	−	0.310245i	0.0297161	−	0.0297161i	−0.692093	−	0.721809i	$-0.743311\pi$
$109$	0.310245	−	0.310245i	0.0297161	−	0.0297161i	0.721809	+	0.692093i	$0.243311\pi$
$110$	−3.70461	+	7.82043i	−0.353221	+	0.745649i
$111$	−0.0962894	−	0.359357i	−0.00913939	−	0.0341087i
$112$	−0.803265			−0.0759014
$113$	−3.71107	−	13.8499i	−0.349108	−	1.30289i	−0.887739	−	0.460348i	$-0.847725\pi$
$113$	−3.71107	−	13.8499i	−0.349108	−	1.30289i	0.538630	−	0.842542i	$-0.318942\pi$
$114$	3.15934	+	5.47213i	0.295899	+	0.512512i
$115$	4.48467	+	6.48814i	0.418198	+	0.605023i
$116$			7.87012i			0.730723i
$117$	5.27273	−	1.26755i	0.487464	−	0.117185i
$118$	−7.97557	+	7.97557i	−0.734211	+	0.734211i
$119$	5.19373	+	1.39166i	0.476109	+	0.127573i
$120$	1.55507	+	2.24977i	0.141958	+	0.205375i
$121$	3.44388	+	1.98833i	0.313080	+	0.180757i
$122$		−	3.63915i		−	0.329473i
$123$	1.94096	−	3.36185i	0.175011	−	0.303128i
$124$	−4.62800	+	1.24007i	−0.415607	+	0.111361i
$125$	−9.57919	−	5.76534i	−0.856789	−	0.515667i
$126$	0.604077	−	1.04629i	0.0538155	−	0.0932111i
$127$	20.6967	+	5.54567i	1.83654	+	0.492099i	0.998562	−	0.0536100i	$-0.0170728\pi$
$127$	20.6967	+	5.54567i	1.83654	+	0.492099i	0.837975	+	0.545709i	$0.183739\pi$
$128$	0.866025	−	0.500000i	0.0765466	−	0.0441942i
$129$	−3.23618			−0.284929
$130$	−4.41105	−	6.74853i	−0.386874	−	0.591885i
$131$	17.7564			1.55139			0.775693	−	0.631111i	$-0.217401\pi$
$131$	17.7564			1.55139			0.775693	+	0.631111i	$0.217401\pi$
$132$	4.09917	−	2.36666i	0.356787	−	0.205991i
$133$	−4.00839	−	1.07405i	−0.347572	−	0.0931316i
$134$	−0.301236	+	0.521755i	−0.0260228	+	0.0450728i
$135$	−12.2776	+	0.999185i	−1.05669	+	0.0859962i
$136$	−6.46578	+	1.73250i	−0.554436	+	0.148561i
$137$	7.62084	−	13.1997i	0.651092	−	1.12772i	−0.331766	−	0.943362i	$-0.607644\pi$
$137$	7.62084	−	13.1997i	0.651092	−	1.12772i	0.982858	−	0.184363i	$-0.0590222\pi$
$138$		−	4.31417i		−	0.367246i
$139$	16.0574	+	9.27076i	1.36197	+	0.786335i	0.989886	−	0.141863i	$-0.0453092\pi$
$139$	16.0574	+	9.27076i	1.36197	+	0.786335i	0.372086	+	0.928198i	$0.378643\pi$
$140$	−1.76694	−	0.322617i	−0.149334	−	0.0272661i
$141$	−5.00033	−	1.33983i	−0.421104	−	0.112834i
$142$	−4.41115	+	4.41115i	−0.370176	+	0.370176i
$143$	−12.2605	+	6.66166i	−1.02527	+	0.557076i
$144$			1.50406i			0.125338i
$145$	−3.16090	+	17.3119i	−0.262498	+	1.43768i
$146$	−4.44587	−	7.70047i	−0.367943	−	0.637296i
$147$	2.01166	+	7.50760i	0.165919	+	0.619216i
$148$	−0.304176			−0.0250031
$149$	−1.71857	−	6.41381i	−0.140791	−	0.525439i	−0.999907	−	0.0136579i	$-0.995652\pi$
$149$	−1.71857	−	6.41381i	−0.140791	−	0.525439i	0.859116	−	0.511781i	$-0.171014\pi$
$150$	2.51711	+	5.57340i	0.205521	+	0.455066i
$151$	−0.648649	+	0.648649i	−0.0527863	+	0.0527863i	−0.733007	−	0.680221i	$-0.761884\pi$
$151$	−0.648649	+	0.648649i	−0.0527863	+	0.0527863i	0.680221	+	0.733007i	$0.261884\pi$
$152$	4.99013	−	1.33710i	0.404753	−	0.108453i
$153$	2.60578	−	9.72489i	0.210665	−	0.786211i
$154$	−0.804567	+	3.00269i	−0.0648339	+	0.241963i
$155$	−10.6783	+	0.869029i	−0.857700	+	0.0698020i
$156$	−0.114114	+	4.40843i	−0.00913641	+	0.352957i
$157$	3.62120	+	3.62120i	0.289004	+	0.289004i	0.836686	−	0.547683i	$-0.184490\pi$
$157$	3.62120	+	3.62120i	0.289004	+	0.289004i	−0.547683	+	0.836686i	$0.684490\pi$
$158$	3.52014	+	6.09705i	0.280047	+	0.485056i
$159$	2.84210	−	1.64089i	0.225393	−	0.130131i
$160$	2.10581	−	0.752028i	0.166479	−	0.0594530i
$161$	2.00347	+	2.00347i	0.157896	+	0.157896i
$162$	1.92747	+	1.11283i	0.151436	+	0.0874319i
$163$	6.80060	+	3.92633i	0.532664	+	0.307534i	0.742101	−	0.670288i	$-0.233830\pi$
$163$	6.80060	+	3.92633i	0.532664	+	0.307534i	−0.209436	+	0.977822i	$0.567163\pi$
$164$	−2.24427	−	2.24427i	−0.175248	−	0.175248i
$165$	9.96748	−	3.55958i	0.775967	−	0.277113i
$166$	−3.10133	+	1.79056i	−0.240710	+	0.138974i
$167$	−11.7647	−	20.3771i	−0.910380	−	1.57682i	−0.813528	−	0.581526i	$-0.802456\pi$
$167$	−11.7647	−	20.3771i	−0.910380	−	1.57682i	−0.0968526	−	0.995299i	$-0.530878\pi$
$168$	0.694707	+	0.694707i	0.0535978	+	0.0535978i
$169$	0.672568	−	12.9826i	0.0517360	−	0.998661i
$170$	−14.9186	+	1.21412i	−1.14421	+	0.0931188i
$171$	−2.01107	+	7.50543i	−0.153791	+	0.573955i
$172$	−0.684811	+	2.55575i	−0.0522163	+	0.194874i
$173$	11.2762	−	3.02145i	0.857313	−	0.229716i	0.196719	−	0.980460i	$-0.436971\pi$
$173$	11.2762	−	3.02145i	0.857313	−	0.229716i	0.660594	+	0.750743i	$0.270305\pi$
$174$	6.80651	−	6.80651i	0.516000	−	0.516000i
$175$	−3.75718	−	1.41932i	−0.284016	−	0.107291i
$176$	−1.00162	−	3.73810i	−0.0755001	−	0.281770i
$177$	13.7954			1.03693
$178$	−4.40686	−	16.4466i	−0.330308	−	1.23273i
$179$	3.64244	+	6.30890i	0.272249	+	0.471549i	0.969437	−	0.245339i	$-0.0788992\pi$
$179$	3.64244	+	6.30890i	0.272249	+	0.471549i	−0.697188	+	0.716888i	$0.745566\pi$
$180$	−0.604077	+	3.30847i	−0.0450252	+	0.246599i
$181$		−	4.44297i		−	0.330244i	−0.986273	−	0.165122i	$-0.947198\pi$
$181$		−	4.44297i		−	0.330244i	0.986273	−	0.165122i	$-0.0528017\pi$
$182$	−1.99425	−	2.10024i	−0.147824	−	0.155680i
$183$	−3.14733	+	3.14733i	−0.232658	+	0.232658i
$184$	−3.40709	−	0.912926i	−0.251174	−	0.0673018i
$185$	−0.669096	−	0.122167i	−0.0491929	−	0.00898188i
$186$	5.07502	+	2.93007i	0.372119	+	0.214843i
$187$			25.9051i			1.89437i
$188$	−2.11625	+	3.66545i	−0.154343	+	0.267331i
$189$	−4.27429	+	1.14529i	−0.310909	+	0.0833078i
$190$	11.5138	−	0.937028i	0.835301	−	0.0679792i
$191$	−9.72611	+	16.8461i	−0.703756	+	1.21894i	0.263382	+	0.964692i	$0.415162\pi$
$191$	−9.72611	+	16.8461i	−0.703756	+	1.21894i	−0.967138	+	0.254250i	$0.918171\pi$
$192$	−1.18141	−	0.316559i	−0.0852611	−	0.0228456i
$193$	6.40856	−	3.69998i	0.461298	−	0.266331i	−0.251292	−	0.967911i	$-0.580855\pi$
$193$	6.40856	−	3.69998i	0.461298	−	0.266331i	0.712590	+	0.701581i	$0.247522\pi$
$194$	7.39272			0.530767
$195$	−2.02158	+	9.65140i	−0.144769	+	0.691151i
$196$	6.35477			0.453912
$197$	−8.16430	+	4.71366i	−0.581682	+	0.335834i	−0.761802	−	0.647810i	$-0.775685\pi$
$197$	−8.16430	+	4.71366i	−0.581682	+	0.335834i	0.180119	+	0.983645i	$0.442352\pi$
$198$	5.62231	+	1.50649i	0.399560	+	0.107062i
$199$	13.0818	−	22.6583i	0.927344	−	1.60621i	0.139598	−	0.990208i	$-0.455419\pi$
$199$	13.0818	−	22.6583i	0.927344	−	1.60621i	0.787747	−	0.615999i	$-0.211248\pi$
$200$	4.93420	−	0.808474i	0.348901	−	0.0571677i
$201$	0.711767	−	0.190717i	0.0502042	−	0.0134522i
$202$	1.24805	−	2.16168i	0.0878123	−	0.152095i
$203$			6.32179i			0.443703i
$204$	7.09032	+	4.09360i	0.496422	+	0.286609i
$205$	−4.03535	−	5.83809i	−0.281841	−	0.407750i
$206$	16.9877	+	4.55185i	1.18359	+	0.317142i
$207$	3.75135	−	3.75135i	0.260737	−	0.260737i
$208$	3.45738	+	1.02299i	0.239726	+	0.0709318i
$209$		−	19.9929i		−	1.38294i
$210$	1.24913	+	1.80716i	0.0861982	+	0.124706i
$211$	−1.98937	−	3.44569i	−0.136954	−	0.237211i	0.789388	−	0.613894i	$-0.210398\pi$
$211$	−1.98937	−	3.44569i	−0.136954	−	0.237211i	−0.926342	+	0.376683i	$0.877065\pi$
$212$	−0.694459	−	2.59176i	−0.0476956	−	0.178003i
$213$	7.63001			0.522800
$214$	−0.461661	−	1.72294i	−0.0315585	−	0.117778i
$215$	−2.53285	+	5.34685i	−0.172739	+	0.364652i
$216$	3.89535	−	3.89535i	0.265045	−	0.265045i
$217$	−3.71751	+	0.996103i	−0.252361	+	0.0676199i
$218$	−0.113558	+	0.423803i	−0.00769110	+	0.0287036i
$219$	−2.81476	+	10.5048i	−0.190204	+	0.709849i
$220$	−0.701927	−	8.62500i	−0.0473239	−	0.581497i
$221$	−20.5823	−	12.6044i	−1.38452	−	0.847862i
$222$	0.263068	+	0.263068i	0.0176559	+	0.0176559i
$223$	−9.67109	−	16.7508i	−0.647624	−	1.12172i	−0.983689	−	0.179879i	$-0.942430\pi$
$223$	−9.67109	−	16.7508i	−0.647624	−	1.12172i	0.336065	−	0.941839i	$-0.390904\pi$
$224$	0.695647	−	0.401632i	0.0464799	−	0.0268352i
$225$	−2.65758	+	7.03504i	−0.177172	+	0.469003i
$226$	10.1388	+	10.1388i	0.674426	+	0.674426i
$227$	6.61409	+	3.81865i	0.438993	+	0.253453i	0.703170	−	0.711022i	$-0.251767\pi$
$227$	6.61409	+	3.81865i	0.438993	+	0.253453i	−0.264178	+	0.964474i	$0.585101\pi$
$228$	−5.47213	−	3.15934i	−0.362401	−	0.209232i
$229$	2.58994	+	2.58994i	0.171148	+	0.171148i	0.787484	−	0.616335i	$-0.211383\pi$
$229$	2.58994	+	2.58994i	0.171148	+	0.171148i	−0.616335	+	0.787484i	$0.711383\pi$
$230$	−7.12791	−	3.37656i	−0.470001	−	0.222644i
$231$	3.29272	−	1.90105i	0.216645	−	0.125080i
$232$	−3.93506	−	6.81573i	−0.258349	−	0.447474i
$233$	17.3825	+	17.3825i	1.13876	+	1.13876i	0.988672	+	0.150091i	$0.0479568\pi$
$233$	17.3825	+	17.3825i	1.13876	+	1.13876i	0.150091	+	0.988672i	$0.452043\pi$
$234$	−3.93255	+	3.73409i	−0.257079	+	0.244105i
$235$	−6.12729	+	7.21295i	−0.399700	+	0.470521i
$236$	2.91926	−	10.8948i	0.190028	−	0.709193i
$237$	2.22866	−	8.31746i	0.144767	−	0.540277i
$238$	−5.19373	+	1.39166i	−0.336660	+	0.0902077i
$239$	−8.03371	+	8.03371i	−0.519658	+	0.519658i	−0.917468	−	0.397810i	$-0.869770\pi$
$239$	−8.03371	+	8.03371i	−0.519658	+	0.519658i	0.397810	+	0.917468i	$0.369770\pi$
$240$	−2.47162	−	1.17083i	−0.159542	−	0.0755766i
$241$	−5.20596	−	19.4289i	−0.335345	−	1.25153i	−0.903494	−	0.428600i	$-0.859007\pi$
$241$	−5.20596	−	19.4289i	−0.335345	−	1.25153i	0.568149	−	0.822926i	$-0.307660\pi$
$242$	−3.97666			−0.255629
$243$	3.57284	+	13.3340i	0.229198	+	0.855378i
$244$	1.81958	+	3.15160i	0.116486	+	0.201760i
$245$	13.9786	+	2.55228i	0.893060	+	0.163059i
$246$			3.88193i			0.247503i
$247$	15.8849	+	9.72774i	1.01073	+	0.618961i
$248$	3.38793	−	3.38793i	0.215134	−	0.215134i
$249$	4.23077	+	1.13363i	0.268114	+	0.0718410i
$250$	11.1785	+	0.203333i	0.706990	+	0.0128599i
$251$	−14.4753	−	8.35733i	−0.913675	−	0.527510i	−0.0320630	−	0.999486i	$-0.510208\pi$
$251$	−14.4753	−	8.35733i	−0.913675	−	0.527510i	−0.881612	+	0.471976i	$0.843541\pi$
$252$			1.20815i			0.0761066i
$253$	−6.82522	+	11.8216i	−0.429098	+	0.743219i
$254$	−20.6967	+	5.54567i	−1.29863	+	0.347966i
$255$	13.9525	+	11.8524i	0.873737	+	0.742226i
$256$	−0.500000	+	0.866025i	−0.0312500	+	0.0541266i
$257$	−26.2743	−	7.04018i	−1.63895	−	0.439155i	−0.682459	−	0.730924i	$-0.739089\pi$
$257$	−26.2743	−	7.04018i	−1.63895	−	0.439155i	−0.956489	+	0.291770i	$0.905756\pi$
$258$	2.80261	−	1.61809i	0.174483	−	0.100738i
$259$	−0.244334			−0.0151821
$260$	7.19434	+	3.63888i	0.446174	+	0.225674i
$261$	11.8371			0.732698
$262$	−15.3775	+	8.87821i	−0.950026	+	0.548498i
$263$	−10.8458	−	2.90613i	−0.668781	−	0.179199i	−0.0915755	−	0.995798i	$-0.529190\pi$
$263$	−10.8458	−	2.90613i	−0.668781	−	0.179199i	−0.577206	+	0.816599i	$0.695857\pi$
$264$	−2.36666	+	4.09917i	−0.145658	+	0.252286i
$265$	−0.486670	−	5.98001i	−0.0298959	−	0.367349i
$266$	4.00839	−	1.07405i	0.245770	−	0.0658540i
$267$	−10.4126	+	18.0352i	−0.637243	+	1.10374i
$268$		−	0.602471i		−	0.0368018i
$269$	9.84173	+	5.68213i	0.600061	+	0.346445i	0.769066	−	0.639170i	$-0.220722\pi$
$269$	9.84173	+	5.68213i	0.600061	+	0.346445i	−0.169005	+	0.985615i	$0.554055\pi$
$270$	10.1331	−	7.00411i	0.616681	−	0.426257i
$271$	−21.5350	−	5.77029i	−1.30816	−	0.350520i	−0.463629	−	0.886029i	$-0.653453\pi$
$271$	−21.5350	−	5.77029i	−1.30816	−	0.350520i	−0.844529	+	0.535509i	$0.820120\pi$
$272$	4.73328	−	4.73328i	0.286997	−	0.286997i
$273$	−0.0916635	+	3.54114i	−0.00554773	+	0.214319i
$274$			15.2417i			0.920783i
$275$	1.92005	−	19.2543i	0.115783	−	1.16108i
$276$	2.15708	+	3.73618i	0.129841	+	0.224892i
$277$	0.554741	+	2.07032i	0.0333312	+	0.124394i	0.980587	−	0.196085i	$-0.0628229\pi$
$277$	0.554741	+	2.07032i	0.0333312	+	0.124394i	−0.947256	+	0.320479i	$0.896156\pi$
$278$	−18.5415			−1.11205
$279$	1.86513	+	6.96077i	0.111663	+	0.416730i
$280$	1.69153	−	0.604077i	0.101088	−	0.0361005i
$281$	−7.33885	+	7.33885i	−0.437799	+	0.437799i	−0.891271	−	0.453472i	$-0.850185\pi$
$281$	−7.33885	+	7.33885i	−0.437799	+	0.437799i	0.453472	+	0.891271i	$0.350185\pi$
$282$	5.00033	−	1.33983i	0.297765	−	0.0797860i
$283$	−0.0247038	+	0.0921957i	−0.00146849	+	0.00548046i	−0.966656	−	0.256078i	$-0.917570\pi$
$283$	−0.0247038	+	0.0921957i	−0.00146849	+	0.00548046i	0.965188	+	0.261558i	$0.0842363\pi$
$284$	1.61459	−	6.02575i	0.0958086	−	0.357562i
$285$	−10.7682	−	9.14739i	−0.637851	−	0.541844i
$286$	7.28704	−	11.8994i	0.430892	−	0.703626i
$287$	−1.80274	−	1.80274i	−0.106412	−	0.106412i
$288$	−0.752028	−	1.30255i	−0.0443136	−	0.0767535i
$289$	−24.0823	+	13.9039i	−1.41661	+	0.817879i
$290$	−5.91855	−	16.5730i	−0.347549	−	0.973201i
$291$	−6.39363	−	6.39363i	−0.374801	−	0.374801i
$292$	7.70047	+	4.44587i	0.450636	+	0.260175i
$293$	3.70310	+	2.13798i	0.216337	+	0.124902i	0.604253	−	0.796792i	$-0.293472\pi$
$293$	3.70310	+	2.13798i	0.216337	+	0.124902i	−0.387916	+	0.921695i	$0.626805\pi$
$294$	−5.49594	−	5.49594i	−0.320530	−	0.320530i
$295$	10.7972	−	22.7929i	0.628639	−	1.32706i
$296$	0.263424	−	0.152088i	0.0153112	−	0.00883993i
$297$	−10.6596	−	18.4629i	−0.618530	−	1.07133i
$298$	4.69523	+	4.69523i	0.271987	+	0.271987i
$299$	−6.07175	−	11.1748i	−0.351138	−	0.646254i
$300$	−4.96658	−	3.56815i	−0.286746	−	0.206007i
$301$	−0.550084	+	2.05294i	−0.0317063	+	0.118330i
$302$	0.237422	−	0.886071i	0.0136621	−	0.0509877i
$303$	−2.94892	+	0.790160i	−0.169411	+	0.0453935i
$304$	−3.65303	+	3.65303i	−0.209516	+	0.209516i
$305$	2.73674	+	7.66338i	0.156705	+	0.438804i
$306$	2.60578	+	9.72489i	0.148962	+	0.555935i
$307$	−1.63317			−0.0932098			−0.0466049	−	0.998913i	$-0.514840\pi$
$307$	−1.63317			−0.0932098			−0.0466049	+	0.998913i	$0.514840\pi$
$308$	−0.804567	−	3.00269i	−0.0458445	−	0.171094i
$309$	−10.7552	−	18.6286i	−0.611844	−	1.05974i
$310$	8.81314	−	6.09174i	0.500553	−	0.345987i
$311$			19.1681i			1.08692i	0.839435	+	0.543461i	$0.182886\pi$
$311$			19.1681i			1.08692i	−0.839435	+	0.543461i	$0.817114\pi$
$312$	−2.10539	−	3.87487i	−0.119194	−	0.219371i
$313$	−6.19872	+	6.19872i	−0.350372	+	0.350372i	−0.860248	−	0.509876i	$-0.829691\pi$
$313$	−6.19872	+	6.19872i	−0.350372	+	0.350372i	0.509876	+	0.860248i	$0.329691\pi$
$314$	−4.94666	−	1.32545i	−0.279156	−	0.0747996i
$315$	−0.485234	+	2.65758i	−0.0273398	+	0.149738i
$316$	−6.09705	−	3.52014i	−0.342986	−	0.198023i
$317$			2.80497i			0.157543i	0.996893	+	0.0787715i	$0.0250998\pi$
$317$			2.80497i			0.157543i	−0.996893	+	0.0787715i	$0.974900\pi$
$318$	−1.64089	+	2.84210i	−0.0920163	+	0.159377i
$319$	−29.4193	+	7.88288i	−1.64717	+	0.441357i
$320$	−1.44768	+	1.70418i	−0.0809275	+	0.0952667i
$321$	−1.09082	+	1.88936i	−0.0608839	+	0.105454i
$322$	−2.73679	−	0.733321i	−0.152515	−	0.0408664i
$323$	29.9486	−	17.2908i	1.66638	−	0.962086i
$324$	−2.22565			−0.123647
$325$	14.3639	+	10.8939i	0.796767	+	0.604286i
$326$	−7.85266			−0.434919
$327$	0.464739	−	0.268317i	0.0257001	−	0.0148380i
$328$	3.06573	+	0.821459i	0.169277	+	0.0453575i
$329$	−1.69991	+	2.94433i	−0.0937190	+	0.162326i
$330$	−6.85230	+	8.06643i	−0.377207	+	0.444042i
$331$	32.7797	−	8.78330i	1.80174	−	0.482774i	0.807489	−	0.589882i	$-0.200826\pi$
$331$	32.7797	−	8.78330i	1.80174	−	0.482774i	0.994247	+	0.107109i	$0.0341592\pi$
$332$	1.79056	−	3.10133i	0.0982695	−	0.170208i
$333$			0.457497i			0.0250707i
$334$	20.3771	+	11.7647i	1.11498	+	0.643736i
$335$	0.241972	−	1.32526i	0.0132203	−	0.0724066i
$336$	−0.948987	−	0.254280i	−0.0517715	−	0.0138721i
$337$	0.358935	−	0.358935i	0.0195524	−	0.0195524i	−0.697263	−	0.716815i	$-0.745599\pi$
$337$	0.358935	−	0.358935i	0.0195524	−	0.0195524i	0.716815	+	0.697263i	$0.245599\pi$
$338$	5.90883	+	11.5795i	0.321398	+	0.629844i
$339$		−	17.5372i		−	0.952492i
$340$	12.3128	−	8.51077i	0.667758	−	0.461561i
$341$	−9.27101	−	16.0579i	−0.502053	−	0.869582i
$342$	−2.01107	−	7.50543i	−0.108746	−	0.405847i
$343$	10.7274			0.579226
$344$	−0.684811	−	2.55575i	−0.0369225	−	0.137797i
$345$	3.24437	+	9.08484i	0.174671	+	0.489111i
$346$	−8.25475	+	8.25475i	−0.443778	+	0.443778i
$347$	−21.2484	+	5.69349i	−1.14067	+	0.305643i	−0.779222	−	0.626748i	$-0.784385\pi$
$347$	−21.2484	+	5.69349i	−1.14067	+	0.305643i	−0.361452	+	0.932391i	$0.617719\pi$
$348$	−2.49135	+	9.29786i	−0.133551	+	0.498418i
$349$	−1.44604	+	5.39669i	−0.0774047	+	0.288878i	−0.993768	−	0.111470i	$-0.964444\pi$
$349$	−1.44604	+	5.39669i	−0.0774047	+	0.288878i	0.916363	+	0.400348i	$0.131111\pi$
$350$	3.96347	−	0.649418i	0.211856	−	0.0347129i
$351$	19.8558	+	0.513975i	1.05983	+	0.0274339i
$352$	2.73648	+	2.73648i	0.145855	+	0.145855i
$353$	−5.26599	−	9.12096i	−0.280280	−	0.485459i	0.691174	−	0.722689i	$-0.257094\pi$
$353$	−5.26599	−	9.12096i	−0.280280	−	0.485459i	−0.971454	+	0.237229i	$0.923761\pi$
$354$	−11.9472	+	6.89771i	−0.634985	+	0.366609i
$355$	5.97176	−	12.6064i	0.316948	−	0.669077i
$356$	12.0398	+	12.0398i	0.638106	+	0.638106i
$357$	5.69540	+	3.28824i	0.301433	+	0.174032i
$358$	−6.30890	−	3.64244i	−0.333436	−	0.192509i
$359$	17.1684	+	17.1684i	0.906113	+	0.906113i	0.995956	−	0.0898427i	$-0.0286364\pi$
$359$	17.1684	+	17.1684i	0.906113	+	0.906113i	−0.0898427	+	0.995956i	$0.528636\pi$
$360$	−1.13109	−	3.16726i	−0.0596137	−	0.166929i
$361$	−6.65907	+	3.84462i	−0.350478	+	0.202348i
$362$	2.22149	+	3.84773i	0.116759	+	0.202232i
$363$	3.43923	+	3.43923i	0.180513	+	0.180513i
$364$	2.77719	+	0.821734i	0.145564	+	0.0430706i
$365$	15.1531	+	12.8723i	0.793152	+	0.673770i
$366$	1.15200	−	4.29934i	0.0602162	−	0.224730i
$367$	−2.27725	+	8.49880i	−0.118871	+	0.443634i	−0.999547	−	0.0300853i	$-0.990422\pi$
$367$	−2.27725	+	8.49880i	−0.118871	+	0.443634i	0.880676	+	0.473719i	$0.157089\pi$
$368$	3.40709	−	0.912926i	0.177607	−	0.0475895i
$369$	−3.37550	+	3.37550i	−0.175722	+	0.175722i
$370$	0.640538	−	0.228749i	0.0333000	−	0.0118921i
$371$	−0.557834	−	2.08187i	−0.0289613	−	0.108085i
$372$	−5.86013			−0.303834
$373$	5.91587	+	22.0783i	0.306312	+	1.14317i	0.931810	+	0.362947i	$0.118229\pi$
$373$	5.91587	+	22.0783i	0.306312	+	1.14317i	−0.625498	+	0.780226i	$0.715104\pi$
$374$	−12.9525	−	22.4344i	−0.669759	−	1.16006i
$375$	−9.49191	−	9.84362i	−0.490160	−	0.508322i
$376$		−	4.23250i		−	0.218275i
$377$	8.05108	−	27.2100i	0.414652	−	1.40139i
$378$	3.12900	−	3.12900i	0.160938	−	0.160938i
$379$	24.8387	+	6.65551i	1.27588	+	0.341871i	0.832280	−	0.554355i	$-0.187035\pi$
$379$	24.8387	+	6.65551i	1.27588	+	0.341871i	0.443599	+	0.896226i	$0.353702\pi$
$380$	−9.50275	+	6.56840i	−0.487481	+	0.336952i
$381$	22.6958	+	13.1034i	1.16274	+	0.671310i
$382$		−	19.4522i		−	0.995262i
$383$	−3.13220	+	5.42512i	−0.160048	+	0.277211i	−0.934886	−	0.354949i	$-0.884498\pi$
$383$	−3.13220	+	5.42512i	−0.160048	+	0.277211i	0.774838	+	0.632160i	$0.217831\pi$
$384$	1.18141	−	0.316559i	0.0602887	−	0.0161543i
$385$	−0.563833	−	6.92815i	−0.0287356	−	0.353091i
$386$	−3.69998	+	6.40856i	−0.188324	+	0.326187i
$387$	3.84399	+	1.02999i	0.195401	+	0.0523575i
$388$	−6.40229	+	3.69636i	−0.325027	+	0.187654i
$389$	29.4743			1.49441			0.747203	−	0.664596i	$-0.231396\pi$
$389$	29.4743			1.49441			0.747203	+	0.664596i	$0.231396\pi$
$390$	−3.07496	−	9.36915i	−0.155707	−	0.474426i
$391$	−23.6111			−1.19407
$392$	−5.50339	+	3.17738i	−0.277963	+	0.160482i
$393$	20.9777	+	5.62094i	1.05818	+	0.283539i
$394$	4.71366	−	8.16430i	0.237471	−	0.411312i
$395$	−11.9979	−	10.1920i	−0.603680	−	0.512816i
$396$	−5.62231	+	1.50649i	−0.282532	+	0.0757042i
$397$	−9.42232	+	16.3199i	−0.472893	+	0.819074i	−0.999519	−	0.0310229i	$-0.990124\pi$
$397$	−9.42232	+	16.3199i	−0.472893	+	0.819074i	0.526626	+	0.850097i	$0.323457\pi$
$398$			26.1636i			1.31146i
$399$	−4.39557	−	2.53778i	−0.220054	−	0.127048i
$400$	−3.86891	+	3.16726i	−0.193445	+	0.158363i
$401$	15.2862	+	4.09593i	0.763356	+	0.204541i	0.619435	−	0.785048i	$-0.287362\pi$
$401$	15.2862	+	4.09593i	0.763356	+	0.204541i	0.143922	+	0.989589i	$0.454029\pi$
$402$	−0.521050	+	0.521050i	−0.0259876	+	0.0259876i
$403$	17.2693	+	0.447023i	0.860247	+	0.0222678i
$404$			2.49610i			0.124185i
$405$	−4.89577	−	0.893894i	−0.243273	−	0.0444180i
$406$	−3.16090	−	5.47483i	−0.156873	−	0.271711i
$407$	−0.304669	−	1.13704i	−0.0151019	−	0.0563610i
$408$	−8.18719			−0.405326
$409$	−5.13626	−	19.1688i	−0.253972	−	0.947836i	−0.968660	−	0.248392i	$-0.920098\pi$
$409$	−5.13626	−	19.1688i	−0.253972	−	0.947836i	0.714688	−	0.699444i	$-0.246569\pi$
$410$	6.41377	+	3.03826i	0.316753	+	0.150049i
$411$	13.1818	−	13.1818i	0.650212	−	0.650212i
$412$	−16.9877	+	4.55185i	−0.836926	+	0.224254i
$413$	2.34494	−	8.75144i	0.115387	−	0.430630i
$414$	−1.37309	+	5.12444i	−0.0674837	+	0.251853i
$415$	5.18429	−	6.10287i	0.254487	−	0.299578i
$416$	−3.50568	+	0.842752i	−0.171880	+	0.0413193i
$417$	16.0357	+	16.0357i	0.785272	+	0.785272i
$418$	9.99644	+	17.3143i	0.488942	+	0.846872i
$419$	6.04989	−	3.49291i	0.295556	−	0.170640i	−0.344889	−	0.938644i	$-0.612083\pi$
$419$	6.04989	−	3.49291i	0.295556	−	0.170640i	0.640445	+	0.768004i	$0.278750\pi$
$420$	−1.98536	−	0.940485i	−0.0968757	−	0.0458910i
$421$	−14.9436	−	14.9436i	−0.728304	−	0.728304i	0.241978	−	0.970282i	$-0.422204\pi$
$421$	−14.9436	−	14.9436i	−0.728304	−	0.728304i	−0.970282	+	0.241978i	$0.922204\pi$
$422$	3.44569	+	1.98937i	0.167734	+	0.0968411i
$423$	5.51304	+	3.18296i	0.268053	+	0.154761i
$424$	1.89730	+	1.89730i	0.0921409	+	0.0921409i
$425$	30.5028	−	13.7759i	1.47960	−	0.668231i
$426$	−6.60778	+	3.81500i	−0.320148	+	0.184838i
$427$	1.46160	+	2.53157i	0.0707318	+	0.122511i
$428$	1.26128	+	1.26128i	0.0609664	+	0.0609664i
$429$	−16.5935	+	3.98901i	−0.801140	+	0.192591i
$430$	−0.479909	−	5.89693i	−0.0231433	−	0.284375i
$431$	−0.607097	+	2.26572i	−0.0292428	+	0.109136i	−0.979005	−	0.203838i	$-0.934658\pi$
$431$	−0.607097	+	2.26572i	−0.0292428	+	0.109136i	0.949762	+	0.312974i	$0.101325\pi$
$432$	−1.42580	+	5.32115i	−0.0685987	+	0.256014i
$433$	−3.02221	+	0.809798i	−0.145238	+	0.0389164i	−0.330706	−	0.943734i	$-0.607287\pi$
$433$	−3.02221	+	0.809798i	−0.145238	+	0.0389164i	0.185468	+	0.982650i	$0.440620\pi$
$434$	2.72140	−	2.72140i	0.130632	−	0.130632i
$435$	−9.21456	+	19.4519i	−0.441804	+	0.932648i
$436$	−0.113558	−	0.423803i	−0.00543843	−	0.0202965i
$437$	18.2225			0.871699
$438$	−2.81476	−	10.5048i	−0.134494	−	0.501939i
$439$	−14.3305	−	24.8212i	−0.683957	−	1.18465i	−0.973763	−	0.227564i	$-0.926924\pi$
$439$	−14.3305	−	24.8212i	−0.683957	−	1.18465i	0.289806	−	0.957085i	$-0.406409\pi$
$440$	4.92039	+	7.11850i	0.234570	+	0.339361i
$441$		−	9.55792i		−	0.455139i
$442$	24.1270	+	0.624536i	1.14760	+	0.0297061i
$443$	−3.33295	+	3.33295i	−0.158353	+	0.158353i	−0.781837	−	0.623483i	$-0.785717\pi$
$443$	−3.33295	+	3.33295i	−0.158353	+	0.158353i	0.623483	+	0.781837i	$0.285717\pi$
$444$	−0.359357	−	0.0962894i	−0.0170543	−	0.00456969i
$445$	21.6483	+	31.3195i	1.02623	+	1.48468i
$446$	16.7508	+	9.67109i	0.793174	+	0.457939i
$447$		−	8.12138i		−	0.384128i
$448$	−0.401632	+	0.695647i	−0.0189753	+	0.0328663i
$449$	−33.0623	+	8.85903i	−1.56031	+	0.418083i	−0.932761	−	0.360495i	$-0.882608\pi$
$449$	−33.0623	+	8.85903i	−1.56031	+	0.418083i	−0.627547	+	0.778579i	$0.715941\pi$
$450$	−1.21599	−	7.42131i	−0.0573223	−	0.349844i
$451$	6.14140	−	10.6372i	0.289187	−	0.500887i
$452$	−13.8499	−	3.71107i	−0.651445	−	0.174554i
$453$	−0.971658	+	0.560987i	−0.0456525	+	0.0263575i
$454$	−7.63729			−0.358436
$455$	5.77896	+	2.92298i	0.270922	+	0.137031i
$456$	6.31867			0.295899
$457$	−7.19086	+	4.15165i	−0.336374	+	0.194206i	−0.658668	−	0.752434i	$-0.728880\pi$
$457$	−7.19086	+	4.15165i	−0.336374	+	0.194206i	0.322293	+	0.946640i	$0.395546\pi$
$458$	−3.53793	−	0.947986i	−0.165317	−	0.0442965i
$459$	18.4378	−	31.9352i	0.860602	−	1.49061i
$460$	7.86123	−	0.639770i	0.366532	−	0.0298294i
$461$	10.5458	−	2.82575i	0.491169	−	0.131608i	−0.00472975	−	0.999989i	$-0.501506\pi$
$461$	10.5458	−	2.82575i	0.491169	−	0.131608i	0.495898	+	0.868381i	$0.334839\pi$
$462$	−1.90105	+	3.29272i	−0.0884449	+	0.153191i
$463$		−	11.4376i		−	0.531550i	−0.964035	−	0.265775i	$-0.914372\pi$
$463$		−	11.4376i		−	0.531550i	0.964035	−	0.265775i	$-0.0856278\pi$
$464$	6.81573	+	3.93506i	0.316412	+	0.182681i
$465$	−12.8905	−	2.35362i	−0.597785	−	0.109146i
$466$	−23.7449	−	6.36243i	−1.09996	−	0.294734i
$467$	−22.6953	+	22.6953i	−1.05022	+	1.05022i	−0.0515446	+	0.998671i	$0.516414\pi$
$467$	−22.6953	+	22.6953i	−1.05022	+	1.05022i	−0.998671	+	0.0515446i	$0.983586\pi$
$468$	1.53864	−	5.20009i	0.0711236	−	0.240374i
$469$		−	0.483944i		−	0.0223464i
$470$	1.69991	−	9.31024i	0.0784109	−	0.429449i
$471$	3.13181	+	5.42446i	0.144306	+	0.249946i
$472$	2.91926	+	10.8948i	0.134370	+	0.501476i
$473$	−10.2396			−0.470816
$474$	2.22866	+	8.31746i	0.102366	+	0.382034i
$475$	−23.5413	+	10.6319i	−1.08015	+	0.487826i
$476$	3.80208	−	3.80208i	0.174268	−	0.174268i
$477$	−3.89814	+	1.04450i	−0.178484	+	0.0478246i
$478$	2.94054	−	10.9743i	0.134497	−	0.501951i
$479$	−4.95021	+	18.4744i	−0.226181	+	0.844119i	0.755747	+	0.654864i	$0.227274\pi$
$479$	−4.95021	+	18.4744i	−0.226181	+	0.844119i	−0.981928	+	0.189255i	$0.939393\pi$
$480$	2.72590	−	0.221841i	0.124420	−	0.0101256i
$481$	1.05165	+	0.311170i	0.0479512	+	0.0141881i
$482$	14.2229	+	14.2229i	0.647837	+	0.647837i
$483$	1.73271	+	3.00114i	0.0788410	+	0.136557i
$484$	3.44388	−	1.98833i	0.156540	−	0.0903785i
$485$	−15.5677	+	5.55953i	−0.706893	+	0.252445i
$486$	−9.76119	−	9.76119i	−0.442776	−	0.442776i
$487$	1.66805	+	0.963049i	0.0755865	+	0.0436399i	0.537317	−	0.843380i	$-0.319438\pi$
$487$	1.66805	+	0.963049i	0.0755865	+	0.0436399i	−0.461730	+	0.887020i	$0.652771\pi$
$488$	−3.15160	−	1.81958i	−0.142666	−	0.0823683i
$489$	6.79141	+	6.79141i	0.307118	+	0.307118i
$490$	−13.3820	+	4.77896i	−0.604535	+	0.215891i
$491$	−28.6448	+	16.5381i	−1.29272	+	0.746353i	−0.979136	−	0.203207i	$-0.934864\pi$
$491$	−28.6448	+	16.5381i	−1.29272	+	0.746353i	−0.313586	+	0.949560i	$0.601530\pi$
$492$	−1.94096	−	3.36185i	−0.0875054	−	0.151564i
$493$	−37.2515	−	37.2515i	−1.67772	−	1.67772i
$494$	−18.6206	−	0.482001i	−0.837782	−	0.0216863i
$495$	−12.9725	+	1.05574i	−0.583069	+	0.0474518i
$496$	−1.24007	+	4.62800i	−0.0556807	+	0.207803i
$497$	1.29695	−	4.84027i	0.0581760	−	0.217116i
$498$	−4.23077	+	1.13363i	−0.189585	+	0.0507992i
$499$	6.76718	−	6.76718i	0.302941	−	0.302941i	−0.539223	−	0.842163i	$-0.681282\pi$
$499$	6.76718	−	6.76718i	0.302941	−	0.302941i	0.842163	+	0.539223i	$0.181282\pi$
$500$	−9.78252	+	5.41315i	−0.437488	+	0.242084i
$501$	−7.44844	−	27.7979i	−0.332772	−	1.24192i
$502$	16.7147			0.746012
$503$	−3.02019	−	11.2715i	−0.134663	−	0.502571i	−0.999999	−	0.00137788i	$-0.999561\pi$
$503$	−3.02019	−	11.2715i	−0.134663	−	0.502571i	0.865336	−	0.501193i	$-0.167105\pi$
$504$	−0.604077	−	1.04629i	−0.0269077	−	0.0466056i
$505$	−1.00251	+	5.49067i	−0.0446112	+	0.244331i
$506$		−	13.6504i		−	0.606836i
$507$	4.90433	−	15.1249i	0.217809	−	0.671720i
$508$	15.1511	−	15.1511i	0.672219	−	0.672219i
$509$	−10.2624	−	2.74979i	−0.454871	−	0.121882i	0.0241068	−	0.999709i	$-0.492326\pi$
$509$	−10.2624	−	2.74979i	−0.454871	−	0.121882i	−0.478978	+	0.877827i	$0.658992\pi$
$510$	−18.0094	−	3.28824i	−0.797469	−	0.145606i
$511$	6.18552	+	3.57121i	0.273631	+	0.157981i
$512$		−	1.00000i		−	0.0441942i
$513$	−14.2298	+	24.6468i	−0.628262	+	1.08818i
$514$	26.2743	−	7.04018i	1.15891	−	0.310529i
$515$	−39.1961	+	3.18989i	−1.72719	+	0.140564i
$516$	−1.61809	+	2.80261i	−0.0712324	+	0.123378i
$517$	−15.8215	−	4.23936i	−0.695830	−	0.186447i
$518$	0.211599	−	0.122167i	0.00929713	−	0.00536770i
$519$	14.2783			0.626748
$520$	−8.04992	+	0.445812i	−0.353012	+	0.0195501i
$521$	6.50232			0.284872			0.142436	−	0.989804i	$-0.454506\pi$
$521$	6.50232			0.284872			0.142436	+	0.989804i	$0.454506\pi$
$522$	−10.2512	+	5.91855i	−0.448684	+	0.259048i
$523$	−25.1353	−	6.73499i	−1.09909	−	0.294501i	−0.336697	−	0.941613i	$-0.609310\pi$
$523$	−25.1353	−	6.73499i	−1.09909	−	0.294501i	−0.762394	+	0.647113i	$0.775976\pi$
$524$	8.87821	−	15.3775i	0.387846	−	0.671770i
$525$	−3.98948	−	2.86617i	−0.174115	−	0.125090i
$526$	10.8458	−	2.90613i	0.472900	−	0.126713i
$527$	16.0360	−	27.7752i	0.698540	−	1.20991i
$528$		−	4.73331i		−	0.205991i
$529$	9.14379	+	5.27917i	0.397556	+	0.229529i
$530$	3.41147	+	4.93551i	0.148185	+	0.214385i
$531$	−16.3864	−	4.39073i	−0.711111	−	0.190542i
$532$	−2.93435	+	2.93435i	−0.127220	+	0.127220i
$533$	5.46342	+	10.0552i	0.236647	+	0.435538i
$534$		−	20.8253i		−	0.901198i
$535$	2.26787	+	3.28102i	0.0980487	+	0.141851i
$536$	0.301236	+	0.521755i	0.0130114	+	0.0225364i
$537$	2.30609	+	8.60646i	0.0995153	+	0.371396i
$538$	−11.3643			−0.489948
$539$	6.36507	+	23.7548i	0.274163	+	1.02319i
$540$	−5.27347	+	11.1323i	−0.226934	+	0.479058i
$541$	−15.0202	+	15.0202i	−0.645768	+	0.645768i	−0.951967	−	0.306199i	$-0.900943\pi$
$541$	−15.0202	+	15.0202i	−0.645768	+	0.645768i	0.306199	+	0.951967i	$0.400943\pi$
$542$	21.5350	−	5.77029i	0.925008	−	0.247855i
$543$	1.40646	−	5.24898i	0.0603570	−	0.225256i
$544$	−1.73250	+	6.46578i	−0.0742804	+	0.277218i
$545$	−0.0795802	−	0.977849i	−0.00340884	−	0.0418865i
$546$	−1.69119	−	3.11255i	−0.0723760	−	0.133205i
$547$	−4.61013	−	4.61013i	−0.197115	−	0.197115i	0.601647	−	0.798762i	$-0.294511\pi$
$547$	−4.61013	−	4.61013i	−0.197115	−	0.197115i	−0.798762	+	0.601647i	$0.794511\pi$
$548$	−7.62084	−	13.1997i	−0.325546	−	0.563862i
$549$	4.74018	−	2.73674i	0.202306	−	0.116801i
$550$	7.96436	+	17.6348i	0.339602	+	0.751949i
$551$	28.7498	+	28.7498i	1.22478	+	1.22478i
$552$	−3.73618	−	2.15708i	−0.159022	−	0.0918116i
$553$	−4.89755	−	2.82760i	−0.208265	−	0.120242i
$554$	−1.51558	−	1.51558i	−0.0643909	−	0.0643909i
$555$	−0.751806	−	0.356137i	−0.0319124	−	0.0151172i
$556$	16.0574	−	9.27076i	0.680986	−	0.393168i
$557$	11.0510	+	19.1409i	0.468245	+	0.811025i	0.999341	−	0.0362870i	$-0.0115530\pi$
$557$	11.0510	+	19.1409i	0.468245	+	0.811025i	−0.531096	+	0.847312i	$0.678220\pi$
$558$	−5.09563	−	5.09563i	−0.215715	−	0.215715i
$559$	4.98217	−	8.13564i	0.210723	−	0.344101i
$560$	−1.16287	+	1.36891i	−0.0491401	+	0.0578470i
$561$	−8.20047	+	30.6046i	−0.346224	+	1.29213i
$562$	2.68620	−	10.0251i	0.113311	−	0.422881i
$563$	−16.5346	+	4.43044i	−0.696851	+	0.186721i	−0.589820	−	0.807535i	$-0.700801\pi$
$563$	−16.5346	+	4.43044i	−0.696851	+	0.186721i	−0.107031	+	0.994256i	$0.534135\pi$
$564$	−3.66050	+	3.66050i	−0.154135	+	0.154135i
$565$	−28.9752	−	13.7258i	−1.21900	−	0.577450i
$566$	−0.0247038	−	0.0921957i	−0.00103838	−	0.00387527i
$567$	−1.78779			−0.0750800
$568$	1.61459	+	6.02575i	0.0677469	+	0.252835i
$569$	14.9175	+	25.8379i	0.625376	+	1.08318i	0.988468	+	0.151429i	$0.0483876\pi$
$569$	14.9175	+	25.8379i	0.625376	+	1.08318i	−0.363092	+	0.931753i	$0.618279\pi$
$570$	13.8992	+	2.53778i	0.582173	+	0.106296i
$571$		−	11.0212i		−	0.461223i	−0.973046	−	0.230612i	$-0.925927\pi$
$571$		−	11.0212i		−	0.461223i	0.973046	−	0.230612i	$-0.0740727\pi$
$572$	−0.361067	+	13.9487i	−0.0150970	+	0.583224i
$573$	−16.8233	+	16.8233i	−0.702805	+	0.702805i
$574$	2.46259	+	0.659849i	0.102787	+	0.0275416i
$575$	17.5493	+	1.75002i	0.731858	+	0.0729810i
$576$	1.30255	+	0.752028i	0.0542729	+	0.0313345i
$577$			20.1339i			0.838187i	0.907943	+	0.419093i	$0.137652\pi$
$577$			20.1339i			0.838187i	−0.907943	+	0.419093i	$0.862348\pi$
$578$	13.9039	−	24.0823i	0.578328	−	1.00169i
$579$	8.74241	−	2.34252i	0.363322	−	0.0973519i
$580$	13.4121	+	11.3934i	0.556908	+	0.473084i
$581$	1.43829	−	2.49119i	0.0596703	−	0.103352i
$582$	8.73386	+	2.34023i	0.362030	+	0.0970056i
$583$	8.99267	−	5.19192i	0.372438	−	0.215027i
$584$	−8.89174			−0.367943
$585$	5.47307	−	10.8207i	0.226284	−	0.447380i
$586$	−4.27597			−0.176639
$587$	39.0302	−	22.5341i	1.61095	−	0.930082i	0.621798	−	0.783178i	$-0.286402\pi$
$587$	39.0302	−	22.5341i	1.61095	−	0.930082i	0.989151	−	0.146904i	$-0.0469309\pi$
$588$	7.50760	+	2.01166i	0.309608	+	0.0829593i
$589$	−12.3762	+	21.4362i	−0.509953	+	0.883264i
$590$	2.04579	+	25.1379i	0.0842239	+	1.03491i
$591$	−11.1376	+	2.98430i	−0.458138	+	0.122758i
$592$	−0.152088	+	0.263424i	−0.00625077	+	0.0108267i
$593$		−	47.3832i		−	1.94580i	−0.231236	−	0.972898i	$-0.574277\pi$
$593$		−	47.3832i		−	1.94580i	0.231236	−	0.972898i	$-0.425723\pi$
$594$	18.4629	+	10.6596i	0.757541	+	0.437367i
$595$	9.89047	−	6.83640i	0.405470	−	0.280265i
$596$	−6.41381	−	1.71857i	−0.262720	−	0.0703955i
$597$	22.6277	−	22.6277i	0.926090	−	0.926090i
$598$	10.8457	+	6.64176i	0.443513	+	0.271602i
$599$			8.52727i			0.348415i	0.984709	+	0.174207i	$0.0557363\pi$
$599$			8.52727i			0.348415i	−0.984709	+	0.174207i	$0.944264\pi$
$600$	6.08526	+	0.606823i	0.248430	+	0.0247735i
$601$	19.2718	+	33.3797i	0.786112	+	1.36159i	0.928332	+	0.371752i	$0.121243\pi$
$601$	19.2718	+	33.3797i	0.786112	+	1.36159i	−0.142220	+	0.989835i	$0.545424\pi$
$602$	−0.550084	−	2.05294i	−0.0224198	−	0.0836717i
$603$	−0.906150			−0.0369013
$604$	0.237422	+	0.886071i	0.00966057	+	0.0360537i
$605$	8.37410	−	2.99055i	0.340455	−	0.121583i
$606$	2.15876	−	2.15876i	0.0876935	−	0.0876935i
$607$	−26.9185	+	7.21279i	−1.09259	+	0.292758i	−0.759743	−	0.650223i	$-0.774675\pi$
$607$	−26.9185	+	7.21279i	−1.09259	+	0.292758i	−0.332845	+	0.942982i	$0.608009\pi$
$608$	1.33710	−	4.99013i	0.0542266	−	0.202376i
$609$	−2.00122	+	7.46864i	−0.0810934	+	0.302645i
$610$	−6.20178	−	5.26831i	−0.251103	−	0.213308i
$611$	11.0664	−	10.5080i	0.447699	−	0.425107i
$612$	−7.11911	−	7.11911i	−0.287773	−	0.287773i
$613$	14.4074	+	24.9544i	0.581911	+	1.00790i	0.995253	+	0.0973233i	$0.0310281\pi$
$613$	14.4074	+	24.9544i	0.581911	+	1.00790i	−0.413342	+	0.910576i	$0.635639\pi$
$614$	1.41436	−	0.816583i	0.0570791	−	0.0329546i
$615$	−2.91932	−	8.17462i	−0.117718	−	0.329633i
$616$	2.19812	+	2.19812i	0.0885647	+	0.0885647i
$617$	2.26564	+	1.30807i	0.0912111	+	0.0526607i	0.544912	−	0.838493i	$-0.316563\pi$
$617$	2.26564	+	1.30807i	0.0912111	+	0.0526607i	−0.453701	+	0.891154i	$0.649896\pi$
$618$	18.6286	+	10.7552i	0.749352	+	0.432639i
$619$	−18.4134	−	18.4134i	−0.740096	−	0.740096i	0.232501	−	0.972596i	$-0.425309\pi$
$619$	−18.4134	−	18.4134i	−0.740096	−	0.740096i	−0.972596	+	0.232501i	$0.925309\pi$
$620$	−4.58654	+	9.68217i	−0.184200	+	0.388845i
$621$	16.8280	−	9.71562i	0.675283	−	0.389875i
$622$	−9.58404	−	16.6000i	−0.384285	−	0.665601i
$623$	9.67111	+	9.67111i	0.387465	+	0.387465i
$624$	3.76076	+	2.30304i	0.150551	+	0.0921954i
$625$	−23.6927	+	7.97835i	−0.947710	+	0.319134i
$626$	2.26889	−	8.46760i	0.0906830	−	0.338434i
$627$	6.32892	−	23.6198i	0.252753	−	0.943286i
$628$	4.94666	−	1.32545i	0.197393	−	0.0528913i
$629$	1.43975	−	1.43975i	0.0574066	−	0.0574066i
$630$	−0.908565	−	2.54415i	−0.0361981	−	0.101361i
$631$	11.3179	+	42.2390i	0.450558	+	1.68151i	0.700828	+	0.713331i	$0.252814\pi$
$631$	11.3179	+	42.2390i	0.450558	+	1.68151i	−0.250269	+	0.968176i	$0.580519\pi$
$632$	7.04027			0.280047
$633$	−1.25951	−	4.70054i	−0.0500609	−	0.186830i
$634$	−1.40249	−	2.42918i	−0.0556999	−	0.0964750i
$635$	39.4130	−	27.2427i	1.56406	−	1.08109i
$636$		−	3.28177i		−	0.130131i
$637$	−21.9708	−	6.50088i	−0.870517	−	0.257574i
$638$	21.5364	−	21.5364i	0.852636	−	0.852636i
$639$	−9.06306	−	2.42844i	−0.358529	−	0.0960676i
$640$	0.401632	−	2.19970i	0.0158759	−	0.0869509i
$641$	6.69747	+	3.86679i	0.264534	+	0.152729i	0.626401	−	0.779501i	$-0.284527\pi$
$641$	6.69747	+	3.86679i	0.264534	+	0.152729i	−0.361867	+	0.932230i	$0.617861\pi$
$642$		−	2.18165i		−	0.0861028i
$643$	−13.4155	+	23.2364i	−0.529057	+	0.916354i	0.470368	+	0.882470i	$0.344121\pi$
$643$	−13.4155	+	23.2364i	−0.529057	+	0.916354i	−0.999426	+	0.0338842i	$0.989212\pi$
$644$	2.73679	−	0.733321i	0.107845	−	0.0288969i
$645$	−4.68493	+	5.51503i	−0.184469	+	0.217154i
$646$	−17.2908	+	29.9486i	−0.680298	+	1.17831i
$647$	12.3948	+	3.32118i	0.487290	+	0.130569i	0.494095	−	0.869408i	$-0.335500\pi$
$647$	12.3948	+	3.32118i	0.487290	+	0.130569i	−0.00680520	+	0.999977i	$0.502166\pi$
$648$	1.92747	−	1.11283i	0.0757182	−	0.0437160i
$649$	43.6500			1.71341
$650$	−17.8865	−	2.25246i	−0.701566	−	0.0883486i
$651$	−4.70724			−0.184491
$652$	6.80060	−	3.92633i	0.266332	−	0.153767i
$653$	−7.88800	−	2.11358i	−0.308681	−	0.0827109i	0.101153	−	0.994871i	$-0.467747\pi$
$653$	−7.88800	−	2.11358i	−0.308681	−	0.0827109i	−0.409834	+	0.912160i	$0.634414\pi$
$654$	−0.268317	+	0.464739i	−0.0104920	+	0.0181727i
$655$	25.7055	−	30.2602i	1.00440	−	1.18236i
$656$	−3.06573	+	0.821459i	−0.119697	+	0.0320726i
$657$	6.68683	−	11.5819i	0.260878	−	0.451854i
$658$		−	3.39982i		−	0.132539i
$659$	−10.6923	−	6.17321i	−0.416514	−	0.240474i	0.277071	−	0.960849i	$-0.410636\pi$
$659$	−10.6923	−	6.17321i	−0.416514	−	0.240474i	−0.693585	+	0.720375i	$0.743970\pi$
$660$	1.90105	−	10.4119i	0.0739983	−	0.405282i
$661$	−18.7309	−	5.01893i	−0.728548	−	0.195214i	−0.124566	−	0.992211i	$-0.539754\pi$
$661$	−18.7309	−	5.01893i	−0.728548	−	0.195214i	−0.603983	+	0.796997i	$0.706420\pi$
$662$	−23.9964	+	23.9964i	−0.932647	+	0.932647i
$663$	−20.3262	−	21.4065i	−0.789404	−	0.831358i
$664$			3.58111i			0.138974i
$665$	−7.63322	+	5.27616i	−0.296004	+	0.204601i
$666$	−0.228749	−	0.396204i	−0.00886382	−	0.0153526i
$667$	−7.18484	−	26.8142i	−0.278198	−	1.03825i
$668$	−23.5294			−0.910380
$669$	−6.12293	−	22.8511i	−0.236726	−	0.883474i
$670$	0.453075	+	1.26869i	0.0175038	+	0.0490139i
$671$	−9.95847	+	9.95847i	−0.384442	+	0.384442i
$672$	0.948987	−	0.254280i	0.0366080	−	0.00980907i
$673$	−1.50578	+	5.61963i	−0.0580434	+	0.216621i	−0.988856	−	0.148876i	$-0.952434\pi$
$673$	−1.50578	+	5.61963i	−0.0580434	+	0.216621i	0.930812	+	0.365497i	$0.119101\pi$
$674$	−0.131379	+	0.490314i	−0.00506054	+	0.0188862i
$675$	−16.0712	+	22.3697i	−0.618579	+	0.861012i
$676$	−10.9070	−	7.07376i	−0.419499	−	0.272068i
$677$	−6.05119	−	6.05119i	−0.232566	−	0.232566i	0.581197	−	0.813763i	$-0.302585\pi$
$677$	−6.05119	−	6.05119i	−0.232566	−	0.232566i	−0.813763	+	0.581197i	$0.802585\pi$
$678$	8.76862	+	15.1877i	0.336757	+	0.583280i
$679$	−5.14273	+	2.96916i	−0.197360	+	0.113946i
$680$	−6.40785	+	13.5270i	−0.245730	+	0.518736i
$681$	6.60514	+	6.60514i	0.253110	+	0.253110i
$682$	16.0579	+	9.27101i	0.614887	+	0.355005i
$683$	3.67922	+	2.12420i	0.140781	+	0.0812802i	0.568736	−	0.822520i	$-0.307432\pi$
$683$	3.67922	+	2.12420i	0.140781	+	0.0812802i	−0.427955	+	0.903800i	$0.640766\pi$
$684$	5.49436	+	5.49436i	0.210082	+	0.210082i
$685$	−11.4622	−	32.0961i	−0.437947	−	1.22633i
$686$	−9.29021	+	5.36370i	−0.354702	+	0.204787i
$687$	2.23992	+	3.87966i	0.0854584	+	0.148018i
$688$	1.87094	+	1.87094i	0.0713288	+	0.0713288i
$689$	−0.250340	+	9.67112i	−0.00953720	+	0.368440i
$690$	−7.35213	−	6.24551i	−0.279891	−	0.237763i
$691$	8.87509	−	33.1223i	0.337624	−	1.26003i	−0.563372	−	0.826203i	$-0.690496\pi$
$691$	8.87509	−	33.1223i	0.337624	−	1.26003i	0.900996	−	0.433827i	$-0.142837\pi$
$692$	3.02145	−	11.2762i	0.114858	−	0.428657i
$693$	−4.51620	+	1.21011i	−0.171556	+	0.0459684i
$694$	15.5549	−	15.5549i	0.590456	−	0.590456i
$695$	39.0450	−	13.9437i	1.48106	−	0.528916i
$696$	−2.49135	−	9.29786i	−0.0944346	−	0.352435i
$697$	21.2455			0.804731
$698$	−1.44604	−	5.39669i	−0.0547334	−	0.204268i
$699$	15.0333	+	26.0384i	0.568612	+	0.984864i
$700$	−3.10776	+	2.54415i	−0.117462	+	0.0961598i
$701$			46.1780i			1.74412i	0.489400	+	0.872059i	$0.337216\pi$
$701$			46.1780i			1.74412i	−0.489400	+	0.872059i	$0.662784\pi$
$702$	−17.4526	+	9.48279i	−0.658707	+	0.357905i
$703$	−1.11116	+	1.11116i	−0.0419083	+	0.0419083i
$704$	−3.73810	−	1.00162i	−0.140885	−	0.0377500i
$705$	−9.52217	+	6.58183i	−0.358626	+	0.247886i
$706$	9.12096	+	5.26599i	0.343272	+	0.198188i
$707$			2.00502i			0.0754067i
$708$	6.89771	−	11.9472i	0.259232	−	0.449003i
$709$	15.6433	−	4.19162i	0.587498	−	0.157420i	0.0471885	−	0.998886i	$-0.484974\pi$
$709$	15.6433	−	4.19162i	0.587498	−	0.157420i	0.540309	+	0.841466i	$0.318307\pi$
$710$	1.13149	+	13.9033i	0.0424642	+	0.521783i
$711$	−5.29448	+	9.17030i	−0.198558	+	0.343913i
$712$	−16.4466	−	4.40686i	−0.616363	−	0.165154i
$713$	14.6359	−	8.45004i	0.548119	−	0.316456i
$714$	−6.57648			−0.246119
$715$	−6.39649	+	30.5380i	−0.239215	+	1.14206i
$716$	7.28489			0.272249
$717$	−12.0343	+	6.94799i	−0.449428	+	0.259477i
$718$	−23.4525	−	6.28407i	−0.875238	−	0.234519i
$719$	1.74779	−	3.02727i	0.0651817	−	0.112898i	−0.831593	−	0.555386i	$-0.812571\pi$
$719$	1.74779	−	3.02727i	0.0651817	−	0.112898i	0.896775	+	0.442488i	$0.145904\pi$
$720$	2.56318	+	2.17738i	0.0955242	+	0.0811463i
$721$	−13.6456	+	3.65634i	−0.508190	+	0.136169i
$722$	3.84462	−	6.65907i	0.143082	−	0.247825i
$723$		−	24.6015i		−	0.914941i
$724$	−3.84773	−	2.22149i	−0.143000	−	0.0825609i
$725$	24.9267	+	30.4488i	0.925756	+	1.13084i
$726$	−4.69807	−	1.25884i	−0.174362	−	0.0467201i
$727$	7.30794	−	7.30794i	0.271036	−	0.271036i	−0.558481	−	0.829517i	$-0.688616\pi$
$727$	7.30794	−	7.30794i	0.271036	−	0.271036i	0.829517	+	0.558481i	$0.188616\pi$
$728$	−2.81599	+	0.676953i	−0.104367	+	0.0250895i
$729$			23.5610i			0.872628i
$730$	−19.5592	−	3.57121i	−0.723918	−	0.132176i
$731$	−8.85567	−	15.3385i	−0.327539	−	0.567314i
$732$	1.15200	+	4.29934i	0.0425793	+	0.158908i
$733$	17.0265			0.628887			0.314443	−	0.949276i	$-0.398182\pi$
$733$	17.0265			0.628887			0.314443	+	0.949276i	$0.398182\pi$
$734$	−2.27725	−	8.49880i	−0.0840547	−	0.313696i
$735$	15.7065	+	7.44034i	0.579345	+	0.274441i
$736$	−2.49416	+	2.49416i	−0.0919359	+	0.0919359i
$737$	2.25210	−	0.603448i	0.0829571	−	0.0222283i
$738$	1.23552	−	4.61102i	0.0454801	−	0.169734i
$739$	−12.7737	+	47.6722i	−0.469889	+	1.75365i	0.170261	+	0.985399i	$0.445539\pi$
$739$	−12.7737	+	47.6722i	−0.469889	+	1.75365i	−0.640149	+	0.768250i	$0.721128\pi$
$740$	−0.440348	+	0.518371i	−0.0161875	+	0.0190557i
$741$	15.6873	+	16.5210i	0.576286	+	0.606914i
$742$	1.52403	+	1.52403i	0.0559490	+	0.0559490i
$743$	−14.8861	−	25.7835i	−0.546118	−	0.945904i	−0.998536	−	0.0540980i	$-0.982772\pi$
$743$	−14.8861	−	25.7835i	−0.546118	−	0.945904i	0.452418	−	0.891806i	$-0.350562\pi$
$744$	5.07502	−	2.93007i	0.186059	−	0.107421i
$745$	−13.4182	−	6.35634i	−0.491606	−	0.232878i
$746$	−16.1625	−	16.1625i	−0.591750	−	0.591750i
$747$	−4.66458	−	2.69309i	−0.170668	−	0.0985352i
$748$	22.4344	+	12.9525i	0.820284	+	0.473591i
$749$	1.01314	+	1.01314i	0.0370194	+	0.0370194i
$750$	13.1420	+	3.77887i	0.479880	+	0.137985i
$751$	34.3586	−	19.8369i	1.25376	−	0.723860i	0.281908	−	0.959441i	$-0.409033\pi$
$751$	34.3586	−	19.8369i	1.25376	−	0.723860i	0.971855	+	0.235581i	$0.0756993\pi$
$752$	2.11625	+	3.66545i	0.0771717	+	0.133665i
$753$	−14.4557	−	14.4557i	−0.526797	−	0.526797i
$754$	6.63256	+	27.5901i	0.241544	+	1.00477i
$755$	0.166383	+	2.04445i	0.00605530	+	0.0744052i
$756$	−1.14529	+	4.27429i	−0.0416539	+	0.155454i
$757$	8.31248	−	31.0226i	0.302122	−	1.12754i	−0.633272	−	0.773929i	$-0.718289\pi$
$757$	8.31248	−	31.0226i	0.302122	−	1.12754i	0.935394	−	0.353606i	$-0.115045\pi$
$758$	−24.8387	+	6.65551i	−0.902183	+	0.241739i
$759$	−11.8056	+	11.8056i	−0.428517	+	0.428517i
$760$	4.94542	−	10.4398i	0.179389	−	0.378691i
$761$	−8.62082	−	32.1733i	−0.312505	−	1.16628i	−0.926290	−	0.376810i	$-0.877021\pi$
$761$	−8.62082	−	32.1733i	−0.312505	−	1.16628i	0.613786	−	0.789472i	$-0.289646\pi$
$762$	−26.2069			−0.949376
$763$	−0.0912169	−	0.340426i	−0.00330227	−	0.0123243i
$764$	9.72611	+	16.8461i	0.351878	+	0.609471i
$765$	−12.8007	−	18.5192i	−0.462809	−	0.669563i
$766$		−	6.26439i		−	0.226342i
$767$	−21.2384	+	34.6812i	−0.766872	+	1.25227i
$768$	−0.864854	+	0.864854i	−0.0312077	+	0.0312077i
$769$	−29.4048	−	7.87898i	−1.06036	−	0.284123i	−0.313835	−	0.949477i	$-0.601614\pi$
$769$	−29.4048	−	7.87898i	−1.06036	−	0.284123i	−0.746528	+	0.665354i	$0.768281\pi$
$770$	3.95237	+	5.71804i	0.142434	+	0.206064i
$771$	−28.8122	−	16.6347i	−1.03765	−	0.599085i
$772$		−	7.39997i		−	0.266331i
$773$	14.1946	−	24.5858i	0.510544	−	0.884289i	−0.489381	−	0.872070i	$-0.662777\pi$
$773$	14.1946	−	24.5858i	0.510544	−	0.884289i	0.999925	−	0.0122186i	$-0.00388939\pi$
$774$	−3.84399	+	1.02999i	−0.138169	+	0.0370223i
$775$	−13.9777	+	19.4558i	−0.502093	+	0.698873i
$776$	3.69636	−	6.40229i	0.132692	−	0.229829i
$777$	−0.288659	−	0.0773459i	−0.0103556	−	0.00277477i
$778$	−25.5255	+	14.7371i	−0.915133	+	0.528352i
$779$	−16.3968			−0.587475
$780$	7.34757	+	6.57645i	0.263085	+	0.235475i
$781$	24.1421			0.863872
$782$	20.4478	−	11.8056i	0.731213	−	0.422166i
$783$	41.8781	+	11.2212i	1.49660	+	0.401013i
$784$	3.17738	−	5.50339i	0.113478	−	0.196550i
$785$	11.4135	−	0.928865i	0.407366	−	0.0331526i
$786$	−20.9777	+	5.62094i	−0.748248	+	0.200492i
$787$	9.28524	−	16.0825i	0.330983	−	0.573279i	−0.651722	−	0.758458i	$-0.725953\pi$
$787$	9.28524	−	16.0825i	0.330983	−	0.573279i	0.982705	+	0.185179i	$0.0592864\pi$
$788$			9.42732i			0.335834i
$789$	−11.8934	−	6.86667i	−0.423417	−	0.244460i
$790$	15.4865	+	2.82760i	0.550985	+	0.100601i
$791$	−11.1251	−	2.98097i	−0.395565	−	0.105991i
$792$	4.11582	−	4.11582i	0.146249	−	0.146249i
$793$	−3.06690	−	12.7577i	−0.108909	−	0.453039i
$794$		−	18.8446i		−	0.668771i
$795$	1.31806	−	7.21892i	0.0467469	−	0.256029i
$796$	−13.0818	−	22.6583i	−0.463672	−	0.803104i
$797$	8.67931	+	32.3916i	0.307437	+	1.14737i	0.930827	+	0.365459i	$0.119088\pi$
$797$	8.67931	+	32.3916i	0.307437	+	1.14737i	−0.623391	+	0.781911i	$0.714245\pi$
$798$	5.07557			0.179673
$799$	−7.33281	−	27.3664i	−0.259416	−	0.968155i
$800$	1.76694	−	4.67738i	0.0624709	−	0.165370i
$801$	18.1085	−	18.1085i	0.639831	−	0.639831i
$802$	−15.2862	+	4.09593i	−0.539775	+	0.144632i
$803$	−8.90616	+	33.2382i	−0.314291	+	1.17295i
$804$	0.190717	−	0.711767i	0.00672608	−	0.0251021i
$805$	6.31465	−	0.513904i	0.222562	−	0.0181127i
$806$	−15.1792	+	8.24754i	−0.534664	+	0.290507i
$807$	9.82842	+	9.82842i	0.345977	+	0.345977i
$808$	−1.24805	−	2.16168i	−0.0439062	−	0.0760477i
$809$	31.1936	−	18.0097i	1.09671	−	0.633186i	0.161355	−	0.986896i	$-0.448414\pi$
$809$	31.1936	−	18.0097i	1.09671	−	0.633186i	0.935355	+	0.353710i	$0.115080\pi$
$810$	4.68681	−	1.67375i	0.164678	−	0.0588097i
$811$	0.000184519	0	0.000184519i	6.47934e−6	0	6.47934e-6i	0.707110	−	0.707104i	$-0.249999\pi$
$811$	0.000184519	0	0.000184519i	6.47934e−6	0	6.47934e-6i	−0.707104	+	0.707110i	$0.749999\pi$
$812$	5.47483	+	3.16090i	0.192129	+	0.110926i
$813$	−23.6151	−	13.6342i	−0.828218	−	0.478172i
$814$	0.832371	+	0.832371i	0.0291746	+	0.0291746i
$815$	16.5362	−	5.90542i	0.579239	−	0.206858i
$816$	7.09032	−	4.09360i	0.248211	−	0.143305i
$817$	6.83459	+	11.8379i	0.239112	+	0.414154i
$818$	14.0325	+	14.0325i	0.490636	+	0.490636i
$819$	1.23593	−	4.17705i	0.0431870	−	0.145958i
$820$	−7.07361	+	0.575671i	−0.247021	+	0.0201033i
$821$	−6.18768	+	23.0927i	−0.215952	+	0.805942i	0.769878	+	0.638191i	$0.220317\pi$
$821$	−6.18768	+	23.0927i	−0.215952	+	0.805942i	−0.985829	+	0.167751i	$0.946350\pi$
$822$	−4.82488	+	18.0067i	−0.168287	+	0.628056i
$823$	−15.1711	+	4.06508i	−0.528831	+	0.141700i	−0.513348	−	0.858180i	$-0.671595\pi$
$823$	−15.1711	+	4.06508i	−0.528831	+	0.141700i	−0.0154826	+	0.999880i	$0.504928\pi$
$824$	12.4359	−	12.4359i	0.433225	−	0.433225i
$825$	8.36349	−	22.1395i	0.291179	−	0.770799i
$826$	2.34494	+	8.75144i	0.0815909	+	0.304501i
$827$	−8.31972			−0.289305			−0.144653	−	0.989483i	$-0.546206\pi$
$827$	−8.31972			−0.289305			−0.144653	+	0.989483i	$0.546206\pi$
$828$	−1.37309	−	5.12444i	−0.0477182	−	0.178087i
$829$	21.8523	+	37.8493i	0.758962	+	1.31456i	0.943380	+	0.331713i	$0.107627\pi$
$829$	21.8523	+	37.8493i	0.758962	+	1.31456i	−0.184418	+	0.982848i	$0.559040\pi$
$830$	−1.43829	+	7.87738i	−0.0499238	+	0.273428i
$831$			2.62151i			0.0909393i
$832$	2.61463	−	2.48268i	0.0906459	−	0.0860716i
$833$	−30.0789	+	30.0789i	−1.04217	+	1.04217i
$834$	−21.9052	−	5.86947i	−0.758514	−	0.203243i
$835$	−51.7577	−	9.45017i	−1.79115	−	0.327037i
$836$	−17.3143	−	9.99644i	−0.598829	−	0.345734i
$837$			26.3944i			0.912322i
$838$	−3.49291	+	6.04989i	−0.120660	+	0.208990i
$839$	−41.2028	+	11.0403i	−1.42248	+	0.381152i	−0.886363	−	0.462992i	$-0.846776\pi$
$839$	−41.2028	+	11.0403i	−1.42248	+	0.381152i	−0.536117	+	0.844144i	$0.680109\pi$
$840$	2.18962	−	0.178197i	0.0755489	−	0.00614839i
$841$	16.4694	−	28.5259i	0.567911	−	0.983651i
$842$	20.4133	+	5.46972i	0.703488	+	0.188499i
$843$	−10.9934	+	6.34703i	−0.378632	+	0.218603i
$844$	−3.97875			−0.136954
$845$	−21.1510	−	19.9408i	−0.727618	−	0.685983i
$846$	−6.36591			−0.218865
$847$	2.76635	−	1.59715i	0.0950529	−	0.0548788i
$848$	−2.59176	−	0.694459i	−0.0890013	−	0.0238478i
$849$	−0.0583707	+	0.101101i	−0.00200328	+	0.00346978i
$850$	−19.5282	+	27.1817i	−0.669813	+	0.932325i
$851$	1.03635	−	0.277690i	0.0355257	−	0.00951908i
$852$	3.81500	−	6.60778i	0.130700	−	0.226379i
$853$		−	8.35333i		−	0.286013i	−0.989722	−	0.143006i	$-0.954323\pi$
$853$		−	8.35333i		−	0.286013i	0.989722	−	0.143006i	$-0.0456769\pi$
$854$	−2.53157	−	1.46160i	−0.0866284	−	0.0500149i
$855$	9.87924	+	14.2927i	0.337863	+	0.488799i
$856$	−1.72294	−	0.461661i	−0.0588890	−	0.0157793i
$857$	−33.7411	+	33.7411i	−1.15257	+	1.15257i	−0.166538	+	0.986035i	$0.553259\pi$
$857$	−33.7411	+	33.7411i	−1.15257	+	1.15257i	−0.986035	+	0.166538i	$0.946741\pi$
$858$	12.3759	−	11.7513i	0.422505	−	0.401183i
$859$		−	25.7245i		−	0.877709i	−0.898558	−	0.438855i	$-0.855384\pi$
$859$		−	25.7245i		−	0.877709i	0.898558	−	0.438855i	$-0.144616\pi$
$860$	3.36408	+	4.86694i	0.114714	+	0.165961i
$861$	−1.55911	−	2.70045i	−0.0531343	−	0.0920312i
$862$	−0.607097	−	2.26572i	−0.0206778	−	0.0771706i
$863$	30.3769			1.03404			0.517020	−	0.855973i	$-0.327041\pi$
$863$	30.3769			1.03404			0.517020	+	0.855973i	$0.327041\pi$
$864$	−1.42580	−	5.32115i	−0.0485066	−	0.181029i
$865$	11.1752	−	23.5908i	0.379967	−	0.802110i
$866$	2.21241	−	2.21241i	0.0751808	−	0.0751808i
$867$	−32.8526	+	8.80282i	−1.11573	+	0.298960i
$868$	−0.996103	+	3.71751i	−0.0338099	+	0.126180i
$869$	7.05169	−	26.3173i	0.239212	−	0.892752i
$870$	−1.74592	−	21.4531i	−0.0591922	−	0.727330i
$871$	−0.616324	+	2.08297i	−0.0208833	+	0.0705788i
$872$	0.310245	+	0.310245i	0.0105062	+	0.0105062i
$873$	5.55953	+	9.62939i	0.188162	+	0.325906i
$874$	−15.7811	+	9.11124i	−0.533804	+	0.308192i
$875$	−7.85795	+	4.34819i	−0.265647	+	0.146996i
$876$	7.69006	+	7.69006i	0.259823	+	0.259823i
$877$	−20.1098	−	11.6104i	−0.679059	−	0.392055i	0.120442	−	0.992720i	$-0.461569\pi$
$877$	−20.1098	−	11.6104i	−0.679059	−	0.392055i	−0.799500	+	0.600666i	$0.794902\pi$
$878$	24.8212	+	14.3305i	0.837673	+	0.483631i
$879$	3.69809	+	3.69809i	0.124733	+	0.124733i
$880$	−7.82043	−	3.70461i	−0.263627	−	0.124882i
$881$	−5.16763	+	2.98353i	−0.174102	+	0.100518i	−0.584519	−	0.811380i	$-0.698717\pi$
$881$	−5.16763	+	2.98353i	−0.174102	+	0.100518i	0.410417	+	0.911898i	$0.365383\pi$
$882$	4.77896	+	8.27740i	0.160916	+	0.278715i
$883$	11.0605	+	11.0605i	0.372215	+	0.372215i	0.868283	−	0.496068i	$-0.165224\pi$
$883$	11.0605	+	11.0605i	0.372215	+	0.372215i	−0.496068	+	0.868283i	$0.665224\pi$
$884$	−21.2069	+	11.5226i	−0.713264	+	0.387548i
$885$	19.9713	−	23.5099i	0.671327	−	0.790277i
$886$	1.21994	−	4.55289i	0.0409848	−	0.152957i
$887$	5.01643	−	18.7216i	0.168435	−	0.628609i	−0.829142	−	0.559038i	$-0.811170\pi$
$887$	5.01643	−	18.7216i	0.168435	−	0.628609i	0.997577	−	0.0695704i	$-0.0221628\pi$
$888$	0.359357	−	0.0962894i	0.0120592	−	0.00323126i
$889$	12.1703	−	12.1703i	0.408179	−	0.408179i
$890$	−34.4077	−	16.2993i	−1.15335	−	0.546353i
$891$	−2.22926	−	8.31972i	−0.0746831	−	0.278721i
$892$	−19.3422			−0.647624
$893$	5.65928	+	21.1207i	0.189381	+	0.706778i
$894$	4.06069	+	7.03332i	0.135810	+	0.235229i
$895$	16.0246	+	2.92585i	0.535643	+	0.0978003i
$896$		−	0.803265i		−	0.0268352i
$897$	−3.63577	−	15.1241i	−0.121395	−	0.504978i
$898$	24.2033	−	24.2033i	0.807675	−	0.807675i
$899$	36.4229	+	9.75949i	1.21477	+	0.325497i
$900$	4.76374	+	5.81905i	0.158791	+	0.193968i
$901$	15.5546	+	8.98044i	0.518198	+	0.299182i
$902$			12.2828i			0.408972i
$903$	−1.29975	+	2.25124i	−0.0432531	+	0.0749165i
$904$	13.8499	−	3.71107i	0.460641	−	0.123428i
$905$	−7.57164	−	6.43198i	−0.251690	−	0.213806i
$906$	0.560987	−	0.971658i	0.0186375	−	0.0322812i
$907$	17.7941	+	4.76791i	0.590843	+	0.158316i	0.541839	−	0.840483i	$-0.317728\pi$
$907$	17.7941	+	4.76791i	0.590843	+	0.158316i	0.0490046	+	0.998799i	$0.484395\pi$
$908$	6.61409	−	3.81865i	0.219496	−	0.126726i
$909$	3.75426			0.124521
$910$	−6.46622	+	0.358105i	−0.214353	+	0.0118711i
$911$	6.41882			0.212665			0.106333	−	0.994331i	$-0.466089\pi$
$911$	6.41882			0.212665			0.106333	+	0.994331i	$0.466089\pi$
$912$	−5.47213	+	3.15934i	−0.181200	+	0.104616i
$913$	13.3866	+	3.58692i	0.443031	+	0.118710i
$914$	4.15165	−	7.19086i	0.137324	−	0.237853i
$915$	0.807314	+	9.91995i	0.0266890	+	0.327943i
$916$	3.53793	−	0.947986i	0.116897	−	0.0313223i
$917$	7.13155	−	12.3522i	0.235505	−	0.407906i
$918$			36.8756i			1.21708i
$919$	−28.1427	−	16.2482i	−0.928342	−	0.535979i	−0.0420553	−	0.999115i	$-0.513391\pi$
$919$	−28.1427	−	16.2482i	−0.928342	−	0.535979i	−0.886287	+	0.463137i	$0.846724\pi$
$920$	−6.48814	+	4.48467i	−0.213908	+	0.147855i
$921$	−1.92944	−	0.516993i	−0.0635773	−	0.0170355i
$922$	−7.72009	+	7.72009i	−0.254248	+	0.254248i
$923$	−11.7466	+	19.1816i	−0.386643	+	0.631370i
$924$		−	3.80210i		−	0.125080i
$925$	−1.17683	+	0.963404i	−0.0386939	+	0.0316765i
$926$	5.71880	+	9.90525i	0.187931	+	0.325507i
$927$	6.84623	+	25.5505i	0.224860	+	0.839188i
$928$	−7.87012			−0.258349
$929$	−9.15508	−	34.1672i	−0.300368	−	1.12099i	−0.936859	−	0.349706i	$-0.886281\pi$
$929$	−9.15508	−	34.1672i	−0.300368	−	1.12099i	0.636491	−	0.771284i	$-0.280385\pi$
$930$	12.3403	−	4.40698i	0.404656	−	0.144511i
$931$	23.2141	−	23.2141i	0.760813	−	0.760813i
$932$	23.7449	−	6.36243i	0.777790	−	0.208408i
$933$	−6.06782	+	22.6454i	−0.198651	+	0.741377i
$934$	8.30707	−	31.0024i	0.271816	−	1.01443i
$935$	44.1469	+	37.5021i	1.44376	+	1.22645i
$936$	1.26755	+	5.27273i	0.0414310	+	0.172345i
$937$	−5.59466	−	5.59466i	−0.182770	−	0.182770i	0.609792	−	0.792562i	$-0.291253\pi$
$937$	−5.59466	−	5.59466i	−0.182770	−	0.182770i	−0.792562	+	0.609792i	$0.791253\pi$
$938$	0.241972	+	0.419108i	0.00790066	+	0.0136843i
$939$	−9.28550	+	5.36098i	−0.303021	+	0.174949i
$940$	3.18296	+	8.91286i	0.103817	+	0.290705i
$941$	−35.7505	−	35.7505i	−1.16543	−	1.16543i	−0.983268	−	0.182167i	$-0.941689\pi$
$941$	−35.7505	−	35.7505i	−1.16543	−	1.16543i	−0.182167	−	0.983268i	$-0.558311\pi$
$942$	−5.42446	−	3.13181i	−0.176738	−	0.102040i
$943$	9.69526	+	5.59756i	0.315721	+	0.182282i
$944$	−7.97557	−	7.97557i	−0.259583	−	0.259583i
$945$	−4.23599	+	8.94218i	−0.137797	+	0.290889i
$946$	8.86773	−	5.11979i	0.288315	−	0.166459i
$947$	1.53002	+	2.65007i	0.0497189	+	0.0861157i	0.889814	−	0.456324i	$-0.150834\pi$
$947$	1.53002	+	2.65007i	0.0497189	+	0.0861157i	−0.840095	+	0.542439i	$0.817501\pi$
$948$	−6.08881	−	6.08881i	−0.197755	−	0.197755i
$949$	−22.0754	−	23.2486i	−0.716597	−	0.754681i
$950$	15.0714	−	20.9782i	0.488981	−	0.680622i
$951$	−0.887939	+	3.31383i	−0.0287934	+	0.107458i
$952$	−1.39166	+	5.19373i	−0.0451038	+	0.168330i
$953$	29.2139	−	7.82783i	0.946330	−	0.253568i	0.247526	−	0.968881i	$-0.420383\pi$
$953$	29.2139	−	7.82783i	0.946330	−	0.253568i	0.698804	+	0.715313i	$0.253716\pi$
$954$	2.85364	−	2.85364i	0.0923900	−	0.0923900i
$955$	14.6286	+	40.9628i	0.473370	+	1.32552i
$956$	2.94054	+	10.9743i	0.0951040	+	0.354933i
$957$	−37.2518			−1.20418
$958$	−4.95021	−	18.4744i	−0.159934	−	0.596882i
$959$	−6.12155	−	10.6028i	−0.197675	−	0.342383i
$960$	−2.24977	+	1.55507i	−0.0726112	+	0.0501896i
$961$		−	8.04385i		−	0.259479i
$962$	−1.06634	+	0.256345i	−0.0343802	+	0.00826489i
$963$	1.89704	−	1.89704i	0.0611312	−	0.0611312i
$964$	−19.4289	−	5.20596i	−0.625763	−	0.167673i
$965$	2.97207	−	16.2777i	0.0956742	−	0.523999i
$966$	−3.00114	−	1.73271i	−0.0965601	−	0.0557490i
$967$		−	46.8012i		−	1.50503i	−0.658578	−	0.752513i	$-0.728842\pi$
$967$		−	46.8012i		−	1.50503i	0.658578	−	0.752513i	$-0.271158\pi$
$968$	−1.98833	+	3.44388i	−0.0639073	+	0.110691i
$969$	40.8552	−	10.9471i	1.31246	−	0.351672i
$970$	10.7023	−	12.5985i	0.343629	−	0.404515i
$971$	3.42680	−	5.93539i	0.109971	−	0.190476i	−0.805787	−	0.592205i	$-0.798257\pi$
$971$	3.42680	−	5.93539i	0.109971	−	0.190476i	0.915758	+	0.401730i	$0.131591\pi$
$972$	13.3340	+	3.57284i	0.427689	+	0.114599i
$973$	12.8984	−	7.44687i	0.413502	−	0.238736i
$974$	−1.92610			−0.0617162
$975$	13.5212	+	17.4172i	0.433024	+	0.557798i
$976$	3.63915			0.116486
$977$	−18.5827	+	10.7287i	−0.594513	+	0.343242i	−0.766880	−	0.641790i	$-0.778192\pi$
$977$	−18.5827	+	10.7287i	−0.594513	+	0.343242i	0.172367	+	0.985033i	$0.444859\pi$
$978$	−9.27723	−	2.48583i	−0.296653	−	0.0794880i
$979$	−32.9466	+	57.0651i	−1.05298	+	1.82381i
$980$	9.19964	−	10.8297i	0.293872	−	0.345941i
$981$	−0.637423	+	0.170797i	−0.0203514	+	0.00545313i
$982$	16.5381	−	28.6448i	0.527751	−	0.914092i
$983$			16.7662i			0.534758i	0.963591	+	0.267379i	$0.0861576\pi$
$983$			16.7662i			0.534758i	−0.963591	+	0.267379i	$0.913842\pi$
$984$	3.36185	+	1.94096i	0.107172	+	0.0618757i
$985$	−3.78632	+	20.7373i	−0.120642	+	0.660746i
$986$	50.8865	+	13.6350i	1.62056	+	0.434227i
$987$	−2.94035	+	2.94035i	−0.0935922	+	0.0935922i
$988$	16.3669	−	8.89289i	0.520702	−	0.282920i
$989$		−	9.33284i		−	0.296767i
$990$	10.7066	−	7.40053i	0.340279	−	0.235204i
$991$	27.7195	+	48.0115i	0.880537	+	1.52514i	0.850744	+	0.525579i	$0.176151\pi$
$991$	27.7195	+	48.0115i	0.880537	+	1.52514i	0.0297930	+	0.999556i	$0.490515\pi$
$992$	−1.24007	−	4.62800i	−0.0393722	−	0.146939i
$993$	41.5068			1.31718
$994$	1.29695	+	4.84027i	0.0411366	+	0.153524i
$995$	−19.6758	−	55.0957i	−0.623763	−	1.74665i
$996$	3.09714	−	3.09714i	0.0981366	−	0.0981366i
$997$	37.6894	−	10.0989i	1.19364	−	0.319834i	0.393314	−	0.919404i	$-0.371328\pi$
$997$	37.6894	−	10.0989i	1.19364	−	0.319834i	0.800322	+	0.599570i	$0.204662\pi$
$998$	−2.47696	+	9.24414i	−0.0784068	+	0.292618i
$999$	−0.433693	+	1.61856i	−0.0137214	+	0.0512091i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	130.2.p.b.37.3	✓	16
5.2	odd	4		650.2.w.g.193.3		16
5.3	odd	4		130.2.s.b.63.2	yes	16
5.4	even	2		650.2.t.g.557.2		16
13.6	odd	12		130.2.s.b.97.2	yes	16
65.19	odd	12		650.2.w.g.357.3		16
65.32	even	12		650.2.t.g.643.2		16
65.58	even	12	inner	130.2.p.b.123.3	yes	16

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
130.2.p.b.37.3	✓	16	1.1	even	1	trivial
130.2.p.b.123.3	yes	16	65.58	even	12	inner
130.2.s.b.63.2	yes	16	5.3	odd	4
130.2.s.b.97.2	yes	16	13.6	odd	12
650.2.t.g.557.2		16	5.4	even	2
650.2.t.g.643.2		16	65.32	even	12
650.2.w.g.193.3		16	5.2	odd	4
650.2.w.g.357.3		16	65.19	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)

\(f(q)\)	\(=\)	\(q+(-0.866025 + 0.500000i) q^{2} +(1.18141 + 0.316559i) q^{3} +(0.500000 - 0.866025i) q^{4} +(1.44768 - 1.70418i) q^{5} +(-1.18141 + 0.316559i) q^{6} +(0.401632 - 0.695647i) q^{7} +1.00000i q^{8} +(-1.30255 - 0.752028i) q^{9} +O(q^{10})\)	\(q+(-0.866025 + 0.500000i) q^{2} +(1.18141 + 0.316559i) q^{3} +(0.500000 - 0.866025i) q^{4} +(1.44768 - 1.70418i) q^{5} +(-1.18141 + 0.316559i) q^{6} +(0.401632 - 0.695647i) q^{7} +1.00000i q^{8} +(-1.30255 - 0.752028i) q^{9} +(-0.401632 + 2.19970i) q^{10} +(3.73810 + 1.00162i) q^{11} +(0.864854 - 0.864854i) q^{12} +(-2.61463 + 2.48268i) q^{13} +0.803265i q^{14} +(2.24977 - 1.55507i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(1.73250 + 6.46578i) q^{17} +1.50406 q^{18} +(-1.33710 - 4.99013i) q^{19} +(-0.752028 - 2.10581i) q^{20} +(0.694707 - 0.694707i) q^{21} +(-3.73810 + 1.00162i) q^{22} +(-0.912926 + 3.40709i) q^{23} +(-0.316559 + 1.18141i) q^{24} +(-0.808474 - 4.93420i) q^{25} +(1.02299 - 3.45738i) q^{26} +(-3.89535 - 3.89535i) q^{27} +(-0.401632 - 0.695647i) q^{28} +(-6.81573 + 3.93506i) q^{29} +(-1.17083 + 2.47162i) q^{30} +(-3.38793 - 3.38793i) q^{31} +(0.866025 + 0.500000i) q^{32} +(4.09917 + 2.36666i) q^{33} +(-4.73328 - 4.73328i) q^{34} +(-0.604077 - 1.69153i) q^{35} +(-1.30255 + 0.752028i) q^{36} +(-0.152088 - 0.263424i) q^{37} +(3.65303 + 3.65303i) q^{38} +(-3.87487 + 2.10539i) q^{39} +(1.70418 + 1.44768i) q^{40} +(0.821459 - 3.06573i) q^{41} +(-0.254280 + 0.948987i) q^{42} +(-2.55575 + 0.684811i) q^{43} +(2.73648 - 2.73648i) q^{44} +(-3.16726 + 1.13109i) q^{45} +(-0.912926 - 3.40709i) q^{46} -4.23250 q^{47} +(-0.316559 - 1.18141i) q^{48} +(3.17738 + 5.50339i) q^{49} +(3.16726 + 3.86891i) q^{50} +8.18719i q^{51} +(0.842752 + 3.50568i) q^{52} +(1.89730 - 1.89730i) q^{53} +(5.32115 + 1.42580i) q^{54} +(7.11850 - 4.92039i) q^{55} +(0.695647 + 0.401632i) q^{56} -6.31867i q^{57} +(3.93506 - 6.81573i) q^{58} +(10.8948 - 2.91926i) q^{59} +(-0.221841 - 2.72590i) q^{60} +(-1.81958 + 3.15160i) q^{61} +(4.62800 + 1.24007i) q^{62} +(-1.04629 + 0.604077i) q^{63} -1.00000 q^{64} +(0.445812 + 8.04992i) q^{65} -4.73331 q^{66} +(0.521755 - 0.301236i) q^{67} +(6.46578 + 1.73250i) q^{68} +(-2.15708 + 3.73618i) q^{69} +(1.36891 + 1.16287i) q^{70} +(6.02575 - 1.61459i) q^{71} +(0.752028 - 1.30255i) q^{72} +8.89174i q^{73} +(0.263424 + 0.152088i) q^{74} +(0.606823 - 6.08526i) q^{75} +(-4.99013 - 1.33710i) q^{76} +(2.19812 - 2.19812i) q^{77} +(2.30304 - 3.76076i) q^{78} -7.04027i q^{79} +(-2.19970 - 0.401632i) q^{80} +(-1.11283 - 1.92747i) q^{81} +(0.821459 + 3.06573i) q^{82} +3.58111 q^{83} +(-0.254280 - 0.948987i) q^{84} +(13.5270 + 6.40785i) q^{85} +(1.87094 - 1.87094i) q^{86} +(-9.29786 + 2.49135i) q^{87} +(-1.00162 + 3.73810i) q^{88} +(-4.40686 + 16.4466i) q^{89} +(2.17738 - 2.56318i) q^{90} +(0.676953 + 2.81599i) q^{91} +(2.49416 + 2.49416i) q^{92} +(-2.93007 - 5.07502i) q^{93} +(3.66545 - 2.11625i) q^{94} +(-10.4398 - 4.94542i) q^{95} +(0.864854 + 0.864854i) q^{96} +(-6.40229 - 3.69636i) q^{97} +(-5.50339 - 3.17738i) q^{98} +(-4.11582 - 4.11582i) 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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