LMFDB - Embedded newform 130.2.p.b.7.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

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

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

chi = DirichletCharacter(H, H._module([3, 11]))

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

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

chi := DirichletCharacter("130.7");

S:= CuspForms(chi, 2);

N := Newforms(S);

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

Newform invariants

comment: select newform

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

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

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

Embedding invariants

Embedding label			7.2
Root			$-1.18141 - 0.316559i$ of defining polynomial
Character	$\chi$	$=$	130.7
Dual form			130.2.p.b.93.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.866025 + 0.500000i) q^{2} +(-0.316559 - 1.18141i) q^{3} +(0.500000 + 0.866025i) q^{4} +(1.44768 + 1.70418i) q^{5} +(0.316559 - 1.18141i) q^{6} +(-0.401632 - 0.695647i) q^{7} +1.00000i q^{8} +(1.30255 - 0.752028i) q^{9} +O(q^{10})$	\(q+(0.866025 + 0.500000i) q^{2} +(-0.316559 - 1.18141i) q^{3} +(0.500000 + 0.866025i) q^{4} +(1.44768 + 1.70418i) q^{5} +(0.316559 - 1.18141i) q^{6} +(-0.401632 - 0.695647i) q^{7} +1.00000i q^{8} +(1.30255 - 0.752028i) q^{9} +(0.401632 + 2.19970i) q^{10} +(-0.707606 - 2.64082i) q^{11} +(0.864854 - 0.864854i) q^{12} +(-1.91992 + 3.05187i) q^{13} -0.803265i q^{14} +(1.55507 - 2.24977i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-3.64199 - 0.975869i) q^{17} +1.50406 q^{18} +(-2.03181 - 0.544421i) q^{19} +(-0.752028 + 2.10581i) q^{20} +(-0.694707 + 0.694707i) q^{21} +(0.707606 - 2.64082i) q^{22} +(-4.71213 + 1.26261i) q^{23} +(1.18141 - 0.316559i) q^{24} +(-0.808474 + 4.93420i) q^{25} +(-3.18864 + 1.68303i) q^{26} +(-3.89535 - 3.89535i) q^{27} +(0.401632 - 0.695647i) q^{28} +(-2.08773 - 1.20535i) q^{29} +(2.47162 - 1.17083i) q^{30} +(4.16228 + 4.16228i) q^{31} +(-0.866025 + 0.500000i) q^{32} +(-2.89590 + 1.67195i) q^{33} +(-2.66612 - 2.66612i) q^{34} +(0.604077 - 1.69153i) q^{35} +(1.30255 + 0.752028i) q^{36} +(3.07793 - 5.33114i) q^{37} +(-1.48739 - 1.48739i) q^{38} +(4.21328 + 1.30213i) q^{39} +(-1.70418 + 1.44768i) q^{40} +(4.97735 - 1.33368i) q^{41} +(-0.948987 + 0.254280i) q^{42} +(1.78140 - 6.64828i) q^{43} +(1.93322 - 1.93322i) q^{44} +(3.16726 + 1.13109i) q^{45} +(-4.71213 - 1.26261i) q^{46} +4.44180 q^{47} +(1.18141 + 0.316559i) q^{48} +(3.17738 - 5.50339i) q^{49} +(-3.16726 + 3.86891i) q^{50} +4.61162i q^{51} +(-3.60296 - 0.136768i) q^{52} +(-9.13106 + 9.13106i) q^{53} +(-1.42580 - 5.32115i) q^{54} +(3.47606 - 5.02894i) q^{55} +(0.695647 - 0.401632i) q^{56} +2.57274i q^{57} +(-1.20535 - 2.08773i) q^{58} +(-2.20068 + 8.21304i) q^{59} +(2.72590 + 0.221841i) q^{60} +(7.35413 + 12.7377i) q^{61} +(1.52350 + 5.68578i) q^{62} +(-1.04629 - 0.604077i) q^{63} -1.00000 q^{64} +(-7.98036 + 1.14622i) q^{65} -3.34390 q^{66} +(7.44996 + 4.30124i) q^{67} +(-0.975869 - 3.64199i) q^{68} +(2.98333 + 5.16728i) q^{69} +(1.36891 - 1.16287i) q^{70} +(3.83307 - 14.3052i) q^{71} +(0.752028 + 1.30255i) q^{72} -1.70262i q^{73} +(5.33114 - 3.07793i) q^{74} +(6.08526 - 0.606823i) q^{75} +(-0.544421 - 2.03181i) q^{76} +(-1.55288 + 1.55288i) q^{77} +(2.99775 + 3.23432i) q^{78} +1.85115i q^{79} +(-2.19970 + 0.401632i) q^{80} +(-1.11283 + 1.92747i) q^{81} +(4.97735 + 1.33368i) q^{82} -1.38388 q^{83} +(-0.948987 - 0.254280i) q^{84} +(-3.60936 - 7.61936i) q^{85} +(4.86688 - 4.86688i) q^{86} +(-0.763130 + 2.84804i) q^{87} +(2.64082 - 0.707606i) q^{88} +(-1.87154 + 0.501479i) q^{89} +(2.17738 + 2.56318i) q^{90} +(2.89413 + 0.109860i) q^{91} +(-3.44952 - 3.44952i) q^{92} +(3.59976 - 6.23497i) q^{93} +(3.84671 + 2.22090i) q^{94} +(-2.01360 - 4.25072i) q^{95} +(0.864854 + 0.864854i) q^{96} +(2.41643 - 1.39513i) q^{97} +(5.50339 - 3.17738i) q^{98} +(-2.90766 - 2.90766i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 16 q + 8 q^{4} - 2 q^{5}+O(q^{10}) $ 16 * q + 8 * q^4 - 2 * q^5	$ 16 q + 8 q^{4} - 2 q^{5} + 6 q^{11} + 2 q^{13} + 6 q^{15} - 8 q^{16} - 16 q^{17} - 16 q^{18} + 8 q^{20} - 6 q^{22} - 6 q^{23} - 14 q^{25} - 6 q^{26} - 12 q^{27} - 6 q^{29} + 6 q^{30} - 6 q^{33} - 14 q^{34} - 20 q^{37} + 6 q^{38} - 6 q^{39} - 44 q^{41} + 6 q^{42} + 6 q^{44} - 6 q^{46} + 52 q^{47} - 2 q^{49} + 10 q^{52} - 24 q^{53} + 6 q^{54} + 64 q^{55} + 6 q^{56} + 8 q^{58} - 46 q^{59} + 6 q^{61} + 12 q^{62} + 90 q^{63} - 16 q^{64} - 22 q^{65} + 52 q^{66} + 12 q^{67} - 2 q^{68} + 58 q^{69} - 32 q^{70} + 6 q^{71} - 8 q^{72} + 24 q^{74} + 44 q^{75} - 6 q^{76} + 58 q^{77} + 38 q^{78} + 10 q^{80} - 24 q^{81} - 44 q^{82} - 64 q^{83} + 6 q^{84} + 40 q^{85} - 44 q^{87} - 24 q^{89} - 18 q^{90} + 38 q^{91} - 26 q^{93} - 6 q^{95} - 6 q^{97} - 26 q^{99}+O(q^{100}) $ 16 * q + 8 * q^4 - 2 * q^5 + 6 * q^11 + 2 * q^13 + 6 * q^15 - 8 * q^16 - 16 * q^17 - 16 * q^18 + 8 * q^20 - 6 * q^22 - 6 * q^23 - 14 * q^25 - 6 * q^26 - 12 * q^27 - 6 * q^29 + 6 * q^30 - 6 * q^33 - 14 * q^34 - 20 * q^37 + 6 * q^38 - 6 * q^39 - 44 * q^41 + 6 * q^42 + 6 * q^44 - 6 * q^46 + 52 * q^47 - 2 * q^49 + 10 * q^52 - 24 * q^53 + 6 * q^54 + 64 * q^55 + 6 * q^56 + 8 * q^58 - 46 * q^59 + 6 * q^61 + 12 * q^62 + 90 * q^63 - 16 * q^64 - 22 * q^65 + 52 * q^66 + 12 * q^67 - 2 * q^68 + 58 * q^69 - 32 * q^70 + 6 * q^71 - 8 * q^72 + 24 * q^74 + 44 * q^75 - 6 * q^76 + 58 * q^77 + 38 * q^78 + 10 * q^80 - 24 * q^81 - 44 * q^82 - 64 * q^83 + 6 * q^84 + 40 * q^85 - 44 * q^87 - 24 * q^89 - 18 * q^90 + 38 * q^91 - 26 * q^93 - 6 * q^95 - 6 * q^97 - 26 * q^99

Display 100 coefficients 10 coefficients

Character values

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

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

Coefficient data

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

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

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

$2$	0.866025	+	0.500000i	0.612372	+	0.353553i
$2$	0.866025	+	0.500000i	0.612372	+	0.353553i
$3$	−0.316559	−	1.18141i	−0.182765	−	0.682089i	−0.995098	−	0.0988946i	$-0.968469\pi$
$3$	−0.316559	−	1.18141i	−0.182765	−	0.682089i	0.812333	−	0.583194i	$-0.198197\pi$
$4$	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
$6$	0.316559	−	1.18141i	0.129234	−	0.482310i
$7$	−0.401632	−	0.695647i	−0.151803	−	0.262930i	0.780088	−	0.625670i	$-0.215175\pi$
$7$	−0.401632	−	0.695647i	−0.151803	−	0.262930i	−0.931890	+	0.362740i	$0.881841\pi$
$8$			1.00000i			0.353553i
$9$	1.30255	−	0.752028i	0.434183	−	0.250676i
$10$	0.401632	+	2.19970i	0.127007	+	0.695607i
$11$	−0.707606	−	2.64082i	−0.213351	−	0.796238i	−0.986740	−	0.162306i	$-0.948107\pi$
$11$	−0.707606	−	2.64082i	−0.213351	−	0.796238i	0.773389	−	0.633932i	$-0.218560\pi$
$12$	0.864854	−	0.864854i	0.249662	−	0.249662i
$13$	−1.91992	+	3.05187i	−0.532491	+	0.846436i
$13$	−1.91992	+	3.05187i	−0.532491	+	0.846436i
$14$		−	0.803265i		−	0.214681i
$15$	1.55507	−	2.24977i	0.401517	−	0.580889i
$16$	−0.500000	+	0.866025i	−0.125000	+	0.216506i
$17$	−3.64199	−	0.975869i	−0.883313	−	0.236683i	−0.211477	−	0.977383i	$-0.567827\pi$
$17$	−3.64199	−	0.975869i	−0.883313	−	0.236683i	−0.671836	+	0.740700i	$0.734494\pi$
$18$	1.50406			0.354509
$19$	−2.03181	−	0.544421i	−0.466129	−	0.124899i	0.0181077	−	0.999836i	$-0.494236\pi$
$19$	−2.03181	−	0.544421i	−0.466129	−	0.124899i	−0.484236	+	0.874937i	$0.660903\pi$
$20$	−0.752028	+	2.10581i	−0.168158	+	0.470874i
$21$	−0.694707	+	0.694707i	−0.151597	+	0.151597i
$22$	0.707606	−	2.64082i	0.150862	−	0.563025i
$23$	−4.71213	+	1.26261i	−0.982548	+	0.263273i	−0.714117	−	0.700026i	$-0.753172\pi$
$23$	−4.71213	+	1.26261i	−0.982548	+	0.263273i	−0.268430	+	0.963299i	$0.586505\pi$
$24$	1.18141	−	0.316559i	0.241155	−	0.0646172i
$25$	−0.808474	+	4.93420i	−0.161695	+	0.986841i
$26$	−3.18864	+	1.68303i	−0.625343	+	0.330070i
$27$	−3.89535	−	3.89535i	−0.749660	−	0.749660i
$28$	0.401632	−	0.695647i	0.0759014	−	0.131465i
$29$	−2.08773	−	1.20535i	−0.387682	−	0.223829i	0.293473	−	0.955967i	$-0.405189\pi$
$29$	−2.08773	−	1.20535i	−0.387682	−	0.223829i	−0.681155	+	0.732139i	$0.738522\pi$
$30$	2.47162	−	1.17083i	0.451253	−	0.213763i
$31$	4.16228	+	4.16228i	0.747567	+	0.747567i	0.974022	−	0.226455i	$-0.0727135\pi$
$31$	4.16228	+	4.16228i	0.747567	+	0.747567i	−0.226455	+	0.974022i	$0.572713\pi$
$32$	−0.866025	+	0.500000i	−0.153093	+	0.0883883i
$33$	−2.89590	+	1.67195i	−0.504112	+	0.291049i
$34$	−2.66612	−	2.66612i	−0.457237	−	0.457237i
$35$	0.604077	−	1.69153i	0.102108	−	0.285920i
$36$	1.30255	+	0.752028i	0.217092	+	0.125338i
$37$	3.07793	−	5.33114i	0.506009	−	0.876434i	−0.493967	−	0.869481i	$-0.664453\pi$
$37$	3.07793	−	5.33114i	0.506009	−	0.876434i	0.999976	−	0.00695282i	$-0.00221317\pi$
$38$	−1.48739	−	1.48739i	−0.241286	−	0.241286i
$39$	4.21328	+	1.30213i	0.674665	+	0.208507i
$40$	−1.70418	+	1.44768i	−0.269455	+	0.228898i
$41$	4.97735	−	1.33368i	0.777332	−	0.208285i	0.151724	−	0.988423i	$-0.451518\pi$
$41$	4.97735	−	1.33368i	0.777332	−	0.208285i	0.625608	+	0.780138i	$0.284851\pi$
$42$	−0.948987	+	0.254280i	−0.146432	+	0.0392363i
$43$	1.78140	−	6.64828i	0.271661	−	1.01385i	−0.686385	−	0.727239i	$-0.740803\pi$
$43$	1.78140	−	6.64828i	0.271661	−	1.01385i	0.958046	−	0.286615i	$-0.0925300\pi$
$44$	1.93322	−	1.93322i	0.291443	−	0.291443i
$45$	3.16726	+	1.13109i	0.472147	+	0.168613i
$46$	−4.71213	−	1.26261i	−0.694766	−	0.186162i
$47$	4.44180			0.647903			0.323952	−	0.946074i	$-0.394988\pi$
$47$	4.44180			0.647903			0.323952	+	0.946074i	$0.394988\pi$
$48$	1.18141	+	0.316559i	0.170522	+	0.0456913i
$49$	3.17738	−	5.50339i	0.453912	−	0.786198i
$50$	−3.16726	+	3.86891i	−0.447918	+	0.547146i
$51$			4.61162i			0.645756i
$52$	−3.60296	−	0.136768i	−0.499640	−	0.0189662i
$53$	−9.13106	+	9.13106i	−1.25425	+	1.25425i	−0.300450	+	0.953798i	$0.597137\pi$
$53$	−9.13106	+	9.13106i	−1.25425	+	1.25425i	−0.953798	+	0.300450i	$0.902863\pi$
$54$	−1.42580	−	5.32115i	−0.194026	−	0.724116i
$55$	3.47606	−	5.02894i	0.468712	−	0.678103i
$56$	0.695647	−	0.401632i	0.0929598	−	0.0536704i
$57$			2.57274i			0.340768i
$58$	−1.20535	−	2.08773i	−0.158271	−	0.274133i
$59$	−2.20068	+	8.21304i	−0.286504	+	1.06925i	0.661230	+	0.750183i	$0.270035\pi$
$59$	−2.20068	+	8.21304i	−0.286504	+	1.06925i	−0.947734	+	0.319063i	$0.896632\pi$
$60$	2.72590	+	0.221841i	0.351912	+	0.0286396i
$61$	7.35413	+	12.7377i	0.941599	+	1.63090i	0.762421	+	0.647081i	$0.224011\pi$
$61$	7.35413	+	12.7377i	0.941599	+	1.63090i	0.179178	+	0.983817i	$0.442656\pi$
$62$	1.52350	+	5.68578i	0.193485	+	0.722094i
$63$	−1.04629	−	0.604077i	−0.131820	−	0.0761066i
$64$	−1.00000			−0.125000
$65$	−7.98036	+	1.14622i	−0.989842	+	0.142171i
$66$	−3.34390			−0.411606
$67$	7.44996	+	4.30124i	0.910157	+	0.525480i	0.880482	−	0.474080i	$-0.157219\pi$
$67$	7.44996	+	4.30124i	0.910157	+	0.525480i	0.0296755	+	0.999560i	$0.490553\pi$
$68$	−0.975869	−	3.64199i	−0.118342	−	0.441657i
$69$	2.98333	+	5.16728i	0.359151	+	0.622068i
$70$	1.36891	−	1.16287i	0.163616	−	0.138989i
$71$	3.83307	−	14.3052i	0.454902	−	1.69772i	−0.233474	−	0.972363i	$-0.575009\pi$
$71$	3.83307	−	14.3052i	0.454902	−	1.69772i	0.688376	−	0.725354i	$-0.258324\pi$
$72$	0.752028	+	1.30255i	0.0886273	+	0.153507i
$73$		−	1.70262i		−	0.199276i	−0.995024	−	0.0996380i	$-0.968232\pi$
$73$		−	1.70262i		−	0.199276i	0.995024	−	0.0996380i	$-0.0317685\pi$
$74$	5.33114	−	3.07793i	0.619732	−	0.357803i
$75$	6.08526	−	0.606823i	0.702665	−	0.0700699i
$76$	−0.544421	−	2.03181i	−0.0624494	−	0.233064i
$77$	−1.55288	+	1.55288i	−0.176968	+	0.176968i
$78$	2.99775	+	3.23432i	0.339428	+	0.366214i
$79$			1.85115i			0.208270i	0.994563	+	0.104135i	$0.0332074\pi$
$79$			1.85115i			0.208270i	−0.994563	+	0.104135i	$0.966793\pi$
$80$	−2.19970	+	0.401632i	−0.245934	+	0.0449039i
$81$	−1.11283	+	1.92747i	−0.123647	+	0.214164i
$82$	4.97735	+	1.33368i	0.549656	+	0.147280i
$83$	−1.38388			−0.151900			−0.0759501	−	0.997112i	$-0.524199\pi$
$83$	−1.38388			−0.151900			−0.0759501	+	0.997112i	$0.524199\pi$
$84$	−0.948987	−	0.254280i	−0.103543	−	0.0277442i
$85$	−3.60936	−	7.61936i	−0.391491	−	0.826436i
$86$	4.86688	−	4.86688i	0.524809	−	0.524809i
$87$	−0.763130	+	2.84804i	−0.0818161	+	0.305342i
$88$	2.64082	−	0.707606i	0.281513	−	0.0754311i
$89$	−1.87154	+	0.501479i	−0.198383	+	0.0531566i	−0.356642	−	0.934241i	$-0.616079\pi$
$89$	−1.87154	+	0.501479i	−0.198383	+	0.0531566i	0.158259	+	0.987398i	$0.449412\pi$
$90$	2.17738	+	2.56318i	0.229516	+	0.270183i
$91$	2.89413	+	0.109860i	0.303387	+	0.0115165i
$92$	−3.44952	−	3.44952i	−0.359637	−	0.359637i
$93$	3.59976	−	6.23497i	0.373278	−	0.646536i
$94$	3.84671	+	2.22090i	0.396758	+	0.229068i
$95$	−2.01360	−	4.25072i	−0.206591	−	0.436114i
$96$	0.864854	+	0.864854i	0.0882688	+	0.0882688i
$97$	2.41643	−	1.39513i	0.245351	−	0.141654i	−0.372283	−	0.928119i	$-0.621425\pi$
$97$	2.41643	−	1.39513i	0.245351	−	0.141654i	0.617634	+	0.786466i	$0.288091\pi$
$98$	5.50339	−	3.17738i	0.555926	−	0.320964i
$99$	−2.90766	−	2.90766i	−0.292231	−	0.292231i
$100$	−4.67738	+	1.76694i	−0.467738	+	0.176694i
$101$	−5.75592	−	3.32318i	−0.572736	−	0.330669i	0.185506	−	0.982643i	$-0.440608\pi$
$101$	−5.75592	−	3.32318i	−0.572736	−	0.330669i	−0.758241	+	0.651974i	$0.773941\pi$
$102$	−2.30581	+	3.99378i	−0.228309	+	0.395443i
$103$	10.2702	+	10.2702i	1.01196	+	1.01196i	0.999928	+	0.0120298i	$0.00382928\pi$
$103$	10.2702	+	10.2702i	1.01196	+	1.01196i	0.0120298	+	0.999928i	$0.496171\pi$
$104$	−3.05187	−	1.91992i	−0.299260	−	0.188264i
$105$	−2.18962	−	0.178197i	−0.213685	−	0.0173903i
$106$	−12.4733	+	3.34220i	−1.21151	+	0.324623i
$107$	−14.0283	+	3.75886i	−1.35616	+	0.363383i	−0.862406	−	0.506218i	$-0.831043\pi$
$107$	−14.0283	+	3.75886i	−1.35616	+	0.363383i	−0.493756	+	0.869600i	$0.664377\pi$
$108$	1.42580	−	5.32115i	0.137197	−	0.512028i
$109$	7.23845	−	7.23845i	0.693318	−	0.693318i	−0.269643	−	0.962960i	$-0.586906\pi$
$109$	7.23845	−	7.23845i	0.693318	−	0.693318i	0.962960	+	0.269643i	$0.0869056\pi$
$110$	5.52483	−	2.61716i	0.526772	−	0.249537i
$111$	−7.27262	−	1.94869i	−0.690287	−	0.184962i
$112$	0.803265			0.0759014
$113$	10.3208	+	2.76544i	0.970895	+	0.260151i	0.709206	−	0.705001i	$-0.249054\pi$
$113$	10.3208	+	2.76544i	0.970895	+	0.260151i	0.261690	+	0.965152i	$0.415720\pi$
$114$	−1.28637	+	2.22806i	−0.120480	+	0.208677i
$115$	−8.97336	−	6.20248i	−0.836770	−	0.578384i
$116$		−	2.41071i		−	0.223829i
$117$	−0.205706	+	5.41904i	−0.0190175	+	0.500991i
$118$	−6.01236	+	6.01236i	−0.553483	+	0.553483i
$119$	0.783881	+	2.92548i	0.0718583	+	0.268179i
$120$	2.24977	+	1.55507i	0.205375	+	0.141958i
$121$	3.05304	−	1.76267i	0.277549	−	0.160243i
$122$			14.7083i			1.33162i
$123$	−3.15125	−	5.45812i	−0.284138	−	0.492142i
$124$	−1.52350	+	5.68578i	−0.136814	+	0.510598i
$125$	−9.57919	+	5.76534i	−0.856789	+	0.515667i
$126$	−0.604077	−	1.04629i	−0.0538155	−	0.0932111i
$127$	−3.66415	−	13.6748i	−0.325140	−	1.21344i	−0.914171	−	0.405330i	$-0.867157\pi$
$127$	−3.66415	−	13.6748i	−0.325140	−	1.21344i	0.589030	−	0.808111i	$-0.299510\pi$
$128$	−0.866025	−	0.500000i	−0.0765466	−	0.0441942i
$129$	−8.41828			−0.741188
$130$	−7.48430	−	2.99753i	−0.656417	−	0.262901i
$131$	−5.80119			−0.506852			−0.253426	−	0.967355i	$-0.581557\pi$
$131$	−5.80119			−0.506852			−0.253426	+	0.967355i	$0.581557\pi$
$132$	−2.89590	−	1.67195i	−0.252056	−	0.145525i
$133$	0.437314	+	1.63208i	0.0379200	+	0.141519i
$134$	4.30124	+	7.44996i	0.371570	+	0.643578i
$135$	0.999185	−	12.2776i	0.0859962	−	1.05669i
$136$	0.975869	−	3.64199i	0.0836801	−	0.312298i
$137$	−1.96528	−	3.40397i	−0.167906	−	0.290821i	0.769778	−	0.638312i	$-0.220367\pi$
$137$	−1.96528	−	3.40397i	−0.167906	−	0.290821i	−0.937683	+	0.347491i	$0.887034\pi$
$138$			5.96666i			0.507916i
$139$	−16.9467	+	9.78420i	−1.43740	+	0.829885i	−0.997669	−	0.0682424i	$-0.978261\pi$
$139$	−16.9467	+	9.78420i	−1.43740	+	0.829885i	−0.439735	+	0.898128i	$0.644928\pi$
$140$	1.76694	−	0.322617i	0.149334	−	0.0272661i
$141$	−1.40609	−	5.24760i	−0.118414	−	0.441928i
$142$	10.4721	−	10.4721i	0.878803	−	0.878803i
$143$	9.41799	+	2.91065i	0.787572	+	0.243401i
$144$			1.50406i			0.125338i
$145$	−0.968218	−	5.30284i	−0.0804061	−	0.440377i
$146$	0.851308	−	1.47451i	0.0704547	−	0.122031i
$147$	−7.50760	−	2.01166i	−0.619216	−	0.165919i
$148$	6.15587			0.506009
$149$	−9.26125	−	2.48154i	−0.758711	−	0.203296i	−0.141333	−	0.989962i	$-0.545139\pi$
$149$	−9.26125	−	2.48154i	−0.758711	−	0.203296i	−0.617379	+	0.786666i	$0.711805\pi$
$150$	5.57340	+	2.51711i	0.455066	+	0.205521i
$151$	−11.1948	+	11.1948i	−0.911020	+	0.911020i	−0.996353	−	0.0853326i	$-0.972805\pi$
$151$	−11.1948	+	11.1948i	−0.911020	+	0.911020i	0.0853326	+	0.996353i	$0.472805\pi$
$152$	0.544421	−	2.03181i	0.0441584	−	0.164801i
$153$	−5.47776	+	1.46776i	−0.442851	+	0.118661i
$154$	−2.12128	+	0.568395i	−0.170938	+	0.0458026i
$155$	−1.06765	+	13.1189i	−0.0857560	+	1.05374i
$156$	0.978968	+	4.29987i	0.0783801	+	0.344265i
$157$	9.22225	+	9.22225i	0.736015	+	0.736015i	0.971804	−	0.235789i	$-0.0757674\pi$
$157$	9.22225	+	9.22225i	0.736015	+	0.736015i	−0.235789	+	0.971804i	$0.575767\pi$
$158$	−0.925573	+	1.60314i	−0.0736347	+	0.127539i
$159$	13.6781	+	7.89703i	1.08474	+	0.626276i
$160$	−2.10581	−	0.752028i	−0.166479	−	0.0594530i
$161$	2.77088	+	2.77088i	0.218376	+	0.218376i
$162$	−1.92747	+	1.11283i	−0.151436	+	0.0874319i
$163$	13.9769	−	8.06959i	1.09476	−	0.632059i	0.159919	−	0.987130i	$-0.448877\pi$
$163$	13.9769	−	8.06959i	1.09476	−	0.632059i	0.934839	+	0.355071i	$0.115543\pi$
$164$	3.64367	+	3.64367i	0.284523	+	0.284523i
$165$	−7.04163	−	2.51470i	−0.548190	−	0.195770i
$166$	−1.19847	−	0.691939i	−0.0930195	−	0.0537049i
$167$	4.10312	−	7.10681i	0.317509	−	0.549942i	−0.662459	−	0.749098i	$-0.730487\pi$
$167$	4.10312	−	7.10681i	0.317509	−	0.549942i	0.979968	+	0.199157i	$0.0638203\pi$
$168$	−0.694707	−	0.694707i	−0.0535978	−	0.0535978i
$169$	−5.62780	−	11.7187i	−0.432907	−	0.901438i
$170$	0.683880	−	8.40324i	0.0524512	−	0.644499i
$171$	−3.05595	+	0.818840i	−0.233694	+	0.0626182i
$172$	6.64828	−	1.78140i	0.506927	−	0.135831i
$173$	4.17719	−	15.5895i	0.317585	−	1.18525i	−0.603973	−	0.797005i	$-0.706416\pi$
$173$	4.17719	−	15.5895i	0.317585	−	1.18525i	0.921558	−	0.388240i	$-0.126917\pi$
$174$	−2.08491	+	2.08491i	−0.158057	+	0.158057i
$175$	3.75718	−	1.41932i	0.284016	−	0.107291i
$176$	2.64082	+	0.707606i	0.199059	+	0.0533378i
$177$	10.3996			0.781684
$178$	−1.87154	−	0.501479i	−0.140278	−	0.0375874i
$179$	−3.64244	+	6.30890i	−0.272249	+	0.471549i	−0.969437	−	0.245339i	$-0.921101\pi$
$179$	−3.64244	+	6.30890i	−0.272249	+	0.471549i	0.697188	+	0.716888i	$0.254434\pi$
$180$	0.604077	+	3.30847i	0.0450252	+	0.246599i
$181$		−	9.77048i		−	0.726234i	−0.931744	−	0.363117i	$-0.881713\pi$
$181$		−	9.77048i		−	0.726234i	0.931744	−	0.363117i	$-0.118287\pi$
$182$	2.45146	+	1.54221i	0.181714	+	0.114316i
$183$	12.7205	−	12.7205i	0.940326	−	0.940326i
$184$	−1.26261	−	4.71213i	−0.0930810	−	0.347383i
$185$	13.5411	−	2.47240i	0.995560	−	0.181774i
$186$	6.23497	−	3.59976i	0.457170	−	0.263947i
$187$			10.3084i			0.753824i
$188$	2.22090	+	3.84671i	0.161976	+	0.280550i
$189$	−1.14529	+	4.27429i	−0.0833078	+	0.310909i
$190$	0.381525	−	4.68803i	0.0276788	−	0.340105i
$191$	−2.10320	−	3.64285i	−0.152182	−	0.263587i	0.779847	−	0.625970i	$-0.215297\pi$
$191$	−2.10320	−	3.64285i	−0.152182	−	0.263587i	−0.932029	+	0.362383i	$0.881963\pi$
$192$	0.316559	+	1.18141i	0.0228456	+	0.0852611i
$193$	1.89015	+	1.09128i	0.136056	+	0.0785520i	0.566483	−	0.824073i	$-0.308304\pi$
$193$	1.89015	+	1.09128i	0.136056	+	0.0785520i	−0.430427	+	0.902625i	$0.641637\pi$
$194$	2.79025			0.200328
$195$	3.88041	+	9.06526i	0.277882	+	0.649176i
$196$	6.35477			0.453912
$197$	20.5941	+	11.8900i	1.46727	+	0.847127i	0.999329	−	0.0366344i	$-0.0116637\pi$
$197$	20.5941	+	11.8900i	1.46727	+	0.847127i	0.467938	+	0.883761i	$0.344997\pi$
$198$	−1.06428	−	3.97194i	−0.0756350	−	0.282274i
$199$	12.7251	+	22.0406i	0.902060	+	1.56241i	0.824816	+	0.565401i	$0.191279\pi$
$199$	12.7251	+	22.0406i	0.902060	+	1.56241i	0.0772435	+	0.997012i	$0.475388\pi$
$200$	−4.93420	−	0.808474i	−0.348901	−	0.0571677i
$201$	2.72319	−	10.1631i	0.192079	−	0.716847i
$202$	−3.32318	−	5.75592i	−0.233818	−	0.404985i
$203$			1.93644i			0.135911i
$204$	−3.99378	+	2.30581i	−0.279620	+	0.161439i
$205$	9.47842	+	6.55158i	0.662001	+	0.457582i
$206$	3.75917	+	14.0294i	0.261914	+	0.977476i
$207$	−5.18827	+	5.18827i	−0.360610	+	0.360610i
$208$	−1.68303	−	3.18864i	−0.116697	−	0.221092i
$209$			5.75088i			0.397797i
$210$	−1.80716	−	1.24913i	−0.124706	−	0.0861982i
$211$	−5.09387	+	8.82285i	−0.350677	+	0.607390i	−0.986368	−	0.164553i	$-0.947382\pi$
$211$	−5.09387	+	8.82285i	−0.350677	+	0.607390i	0.635692	+	0.771943i	$0.280715\pi$
$212$	−12.4733	−	3.34220i	−0.856667	−	0.229543i
$213$	−18.1138			−1.24113
$214$	−14.0283	−	3.75886i	−0.958951	−	0.256950i
$215$	13.9088	−	6.58872i	0.948571	−	0.449347i
$216$	3.89535	−	3.89535i	0.265045	−	0.265045i
$217$	1.22377	−	4.56718i	0.0830751	−	0.310041i
$218$	9.88790	−	2.64946i	0.669693	−	0.179444i
$219$	−2.01149	+	0.538978i	−0.135924	+	0.0364207i
$220$	6.09322	+	0.495884i	0.410805	+	0.0334325i
$221$	9.97057	−	9.24129i	0.670693	−	0.621637i
$222$	−5.32393	−	5.32393i	−0.357319	−	0.357319i
$223$	−6.45803	+	11.1856i	−0.432462	+	0.749045i	−0.997085	−	0.0763035i	$-0.975688\pi$
$223$	−6.45803	+	11.1856i	−0.432462	+	0.749045i	0.564623	+	0.825349i	$0.309022\pi$
$224$	0.695647	+	0.401632i	0.0464799	+	0.0268352i
$225$	2.65758	+	7.03504i	0.177172	+	0.469003i
$226$	7.55532	+	7.55532i	0.502572	+	0.502572i
$227$	−16.5328	+	9.54521i	−1.09732	+	0.633538i	−0.935516	−	0.353285i	$-0.885065\pi$
$227$	−16.5328	+	9.54521i	−1.09732	+	0.633538i	−0.161804	+	0.986823i	$0.551731\pi$
$228$	−2.22806	+	1.28637i	−0.147557	+	0.0851921i
$229$	−17.2525	−	17.2525i	−1.14008	−	1.14008i	−0.988435	−	0.151643i	$-0.951544\pi$
$229$	−17.2525	−	17.2525i	−1.14008	−	1.14008i	−0.151643	−	0.988435i	$-0.548456\pi$
$230$	−4.66992	−	9.85818i	−0.307925	−	0.650029i
$231$	2.32618	+	1.34302i	0.153051	+	0.0883641i
$232$	1.20535	−	2.08773i	0.0791353	−	0.137066i
$233$	2.19069	+	2.19069i	0.143517	+	0.143517i	0.775215	−	0.631698i	$-0.217642\pi$
$233$	2.19069	+	2.19069i	0.143517	+	0.143517i	−0.631698	+	0.775215i	$0.717642\pi$
$234$	−2.88767	+	4.59018i	−0.188773	+	0.300069i
$235$	6.43028	+	7.56964i	0.419465	+	0.493789i
$236$	−8.21304	+	2.20068i	−0.534623	+	0.143252i
$237$	2.18697	−	0.585996i	0.142059	−	0.0380645i
$238$	−0.783881	+	2.92548i	−0.0508115	+	0.189631i
$239$	20.6578	−	20.6578i	1.33624	−	1.33624i	0.436572	−	0.899669i	$-0.356192\pi$
$239$	20.6578	−	20.6578i	1.33624	−	1.33624i	0.899669	−	0.436572i	$-0.143808\pi$
$240$	1.17083	+	2.47162i	0.0755766	+	0.159542i
$241$	0.395083	+	0.105862i	0.0254495	+	0.00681918i	0.271521	−	0.962432i	$-0.412473\pi$
$241$	0.395083	+	0.105862i	0.0254495	+	0.00681918i	−0.246072	+	0.969252i	$0.579140\pi$
$242$	3.52535			0.226618
$243$	−13.3340	−	3.57284i	−0.855378	−	0.229198i
$244$	−7.35413	+	12.7377i	−0.470800	+	0.815449i
$245$	13.9786	−	2.55228i	0.893060	−	0.163059i
$246$		−	6.30249i		−	0.401832i
$247$	5.56242	−	5.15556i	0.353928	−	0.328041i
$248$	−4.16228	+	4.16228i	−0.264305	+	0.264305i
$249$	0.438078	+	1.63493i	0.0277621	+	0.103609i
$250$	−11.1785	+	0.203333i	−0.706990	+	0.0128599i
$251$	−25.5839	+	14.7709i	−1.61484	+	0.932330i	−0.626617	+	0.779327i	$0.715561\pi$
$251$	−25.5839	+	14.7709i	−1.61484	+	0.932330i	−0.988226	+	0.153002i	$0.951106\pi$
$252$		−	1.20815i		−	0.0761066i
$253$	6.66867	+	11.5505i	0.419256	+	0.726172i
$254$	3.66415	−	13.6748i	0.229909	−	0.858032i
$255$	−7.85904	+	6.67612i	−0.492152	+	0.418075i
$256$	−0.500000	−	0.866025i	−0.0312500	−	0.0541266i
$257$	−1.33965	−	4.99965i	−0.0835652	−	0.311870i	0.911473	−	0.411359i	$-0.134946\pi$
$257$	−1.33965	−	4.99965i	−0.0835652	−	0.311870i	−0.995039	+	0.0994893i	$0.968279\pi$
$258$	−7.29045	−	4.20914i	−0.453883	−	0.262050i
$259$	−4.94479			−0.307254
$260$	−4.98283	−	6.33809i	−0.309022	−	0.393072i
$261$	−3.62584			−0.224434
$262$	−5.02398	−	2.90059i	−0.310382	−	0.179199i
$263$	−0.299658	−	1.11834i	−0.0184777	−	0.0689597i	0.956071	−	0.293134i	$-0.0946982\pi$
$263$	−0.299658	−	1.11834i	−0.0184777	−	0.0689597i	−0.974549	+	0.224174i	$0.928032\pi$
$264$	−1.67195	−	2.89590i	−0.102901	−	0.178230i
$265$	−28.7798	−	2.34218i	−1.76793	−	0.143879i
$266$	−0.437314	+	1.63208i	−0.0268135	+	0.100069i
$267$	1.18491	+	2.05232i	0.0725151	+	0.125600i
$268$			8.60247i			0.525480i
$269$	24.6523	−	14.2330i	1.50308	−	0.867803i	0.503086	−	0.864237i	$-0.332198\pi$
$269$	24.6523	−	14.2330i	1.50308	−	0.867803i	0.999994	−	0.00356671i	$-0.00113532\pi$
$270$	7.00411	−	10.1331i	0.426257	−	0.616681i
$271$	0.0593762	+	0.221595i	0.00360685	+	0.0134609i	0.967706	−	0.252082i	$-0.0811154\pi$
$271$	0.0593762	+	0.221595i	0.00360685	+	0.0134609i	−0.964099	+	0.265543i	$0.914449\pi$
$272$	2.66612	−	2.66612i	0.161658	−	0.161658i
$273$	−0.786370	−	3.45394i	−0.0475933	−	0.209042i
$274$		−	3.93057i		−	0.237454i
$275$	13.6024	−	1.35644i	0.820258	−	0.0817963i
$276$	−2.98333	+	5.16728i	−0.179575	+	0.311034i
$277$	−16.7345	−	4.48400i	−1.00548	−	0.269418i	−0.281740	−	0.959491i	$-0.590912\pi$
$277$	−16.7345	−	4.48400i	−1.00548	−	0.269418i	−0.723740	+	0.690073i	$0.757578\pi$
$278$	−19.5684			−1.17364
$279$	8.55172	+	2.29143i	0.511978	+	0.137184i
$280$	1.69153	+	0.604077i	0.101088	+	0.0361005i
$281$	9.54913	−	9.54913i	0.569653	−	0.569653i	−0.362378	−	0.932031i	$-0.618035\pi$
$281$	9.54913	−	9.54913i	0.569653	−	0.569653i	0.932031	+	0.362378i	$0.118035\pi$
$282$	1.40609	−	5.24760i	0.0837314	−	0.312490i
$283$	−13.0362	+	3.49303i	−0.774919	+	0.207639i	−0.624544	−	0.780990i	$-0.714715\pi$
$283$	−13.0362	+	3.49303i	−0.774919	+	0.207639i	−0.150376	+	0.988629i	$0.548048\pi$
$284$	14.3052	−	3.83307i	0.848859	−	0.227451i
$285$	−4.38443	+	3.72450i	−0.259711	+	0.220620i
$286$	6.70089	+	7.22970i	0.396232	+	0.427501i
$287$	−2.92683	−	2.92683i	−0.172766	−	0.172766i
$288$	−0.752028	+	1.30255i	−0.0443136	+	0.0767535i
$289$	−2.41063	−	1.39178i	−0.141802	−	0.0818694i
$290$	1.81292	−	5.07650i	0.106458	−	0.298102i
$291$	−2.41316	−	2.41316i	−0.141462	−	0.141462i
$292$	1.47451	−	0.851308i	0.0862891	−	0.0498190i
$293$	−3.57718	+	2.06528i	−0.208981	+	0.120655i	−0.600838	−	0.799371i	$-0.705166\pi$
$293$	−3.57718	+	2.06528i	−0.208981	+	0.120655i	0.391857	+	0.920026i	$0.371833\pi$
$294$	−5.49594	−	5.49594i	−0.320530	−	0.320530i
$295$	−17.1824	+	8.13945i	−1.00040	+	0.473897i
$296$	5.33114	+	3.07793i	0.309866	+	0.178901i
$297$	−7.53055	+	13.0433i	−0.436967	+	0.756849i
$298$	−6.77971	−	6.77971i	−0.392738	−	0.392738i
$299$	5.19360	−	16.8049i	0.300354	−	0.971854i
$300$	3.56815	+	4.96658i	0.206007	+	0.286746i
$301$	−5.34033	+	1.43094i	−0.307811	+	0.0824778i
$302$	−15.2924	+	4.09758i	−0.879978	+	0.235789i
$303$	−2.10396	+	7.85210i	−0.120870	+	0.451091i
$304$	1.48739	−	1.48739i	0.0853075	−	0.0853075i
$305$	−11.0610	+	30.9729i	−0.633352	+	1.77350i
$306$	−5.47776	−	1.46776i	−0.313143	−	0.0839063i
$307$	20.8975			1.19269			0.596343	−	0.802730i	$-0.296620\pi$
$307$	20.8975			1.19269			0.596343	+	0.802730i	$0.296620\pi$
$308$	−2.12128	−	0.568395i	−0.120871	−	0.0323873i
$309$	8.88226	−	15.3845i	0.505294	−	0.875195i
$310$	−7.48407	+	10.8275i	−0.425067	+	0.614959i
$311$		−	22.7030i		−	1.28737i	−0.765291	−	0.643685i	$-0.777405\pi$
$311$		−	22.7030i		−	1.28737i	0.765291	−	0.643685i	$-0.222595\pi$
$312$	−1.30213	+	4.21328i	−0.0737183	+	0.238530i
$313$	8.15394	−	8.15394i	0.460888	−	0.460888i	−0.438058	−	0.898947i	$-0.644334\pi$
$313$	8.15394	−	8.15394i	0.460888	−	0.460888i	0.898947	+	0.438058i	$0.144334\pi$
$314$	3.37558	+	12.5978i	0.190495	+	0.710936i
$315$	−0.485234	−	2.65758i	−0.0273398	−	0.149738i
$316$	−1.60314	+	0.925573i	−0.0901837	+	0.0520676i
$317$			5.27028i			0.296008i	0.988987	+	0.148004i	$0.0472849\pi$
$317$			5.27028i			0.296008i	−0.988987	+	0.148004i	$0.952715\pi$
$318$	7.89703	+	13.6781i	0.442844	+	0.767028i
$319$	−1.70583	+	6.36625i	−0.0955082	+	0.356442i
$320$	−1.44768	−	1.70418i	−0.0809275	−	0.0952667i
$321$	8.88153	+	15.3833i	0.495718	+	0.858609i
$322$	1.01421	+	3.78509i	0.0565198	+	0.210935i
$323$	6.86855	+	3.96556i	0.382176	+	0.220650i
$324$	−2.22565			−0.123647
$325$	−13.5063	−	11.9406i	−0.749197	−	0.662348i
$326$	16.1392			0.893866
$327$	−10.8430	−	6.26020i	−0.599619	−	0.346190i
$328$	1.33368	+	4.97735i	0.0736400	+	0.274828i
$329$	−1.78397	−	3.08993i	−0.0983535	−	0.170353i
$330$	−4.84088	−	5.69861i	−0.266482	−	0.313698i
$331$	−8.65061	+	32.2845i	−0.475480	+	1.77452i	0.144077	+	0.989566i	$0.453979\pi$
$331$	−8.65061	+	32.2845i	−0.475480	+	1.77452i	−0.619558	+	0.784951i	$0.712688\pi$
$332$	−0.691939	−	1.19847i	−0.0379751	−	0.0657748i
$333$		−	9.25876i		−	0.507377i
$334$	7.10681	−	4.10312i	0.388867	−	0.224513i
$335$	3.45503	+	18.9229i	0.188768	+	1.03387i
$336$	−0.254280	−	0.948987i	−0.0138721	−	0.0517715i
$337$	8.65016	−	8.65016i	0.471204	−	0.471204i	−0.431100	−	0.902304i	$-0.641874\pi$
$337$	8.65016	−	8.65016i	0.471204	−	0.471204i	0.902304	+	0.431100i	$0.141874\pi$
$338$	0.985535	−	12.9626i	0.0536060	−	0.705072i
$339$		−	13.0685i		−	0.709783i
$340$	4.79388	−	6.93548i	0.259985	−	0.376129i
$341$	8.04658	−	13.9371i	0.435747	−	0.754736i
$342$	−3.05595	−	0.818840i	−0.165247	−	0.0442778i
$343$	−10.7274			−0.579226
$344$	6.64828	+	1.78140i	0.358451	+	0.0960467i
$345$	−4.48709	+	12.5647i	−0.241577	+	0.676460i
$346$	11.4123	−	11.4123i	0.613528	−	0.613528i
$347$	4.12149	−	15.3816i	0.221253	−	0.825729i	−0.762618	−	0.646849i	$-0.776086\pi$
$347$	4.12149	−	15.3816i	0.221253	−	0.825729i	0.983871	−	0.178879i	$-0.0572471\pi$
$348$	−2.84804	+	0.763130i	−0.152671	+	0.0409081i
$349$	−2.66464	+	0.713989i	−0.142635	+	0.0382190i	−0.329430	−	0.944180i	$-0.606857\pi$
$349$	−2.66464	+	0.713989i	−0.142635	+	0.0382190i	0.186795	+	0.982399i	$0.440190\pi$
$350$	3.96347	+	0.649418i	0.211856	+	0.0347129i
$351$	19.3669	−	4.40932i	1.03373	−	0.235352i
$352$	1.93322	+	1.93322i	0.103041	+	0.103041i
$353$	−4.78086	+	8.28070i	−0.254460	+	0.440737i	−0.964749	−	0.263173i	$-0.915231\pi$
$353$	−4.78086	+	8.28070i	−0.254460	+	0.440737i	0.710289	+	0.703910i	$0.248564\pi$
$354$	9.00634	+	5.19981i	0.478682	+	0.276367i
$355$	29.9277	−	14.1771i	1.58840	−	0.752440i
$356$	−1.37006	−	1.37006i	−0.0726133	−	0.0726133i
$357$	3.20806	−	1.85217i	0.169789	−	0.0980275i
$358$	−6.30890	+	3.64244i	−0.333436	+	0.192509i
$359$	5.99441	+	5.99441i	0.316373	+	0.316373i	0.847372	−	0.531000i	$-0.178183\pi$
$359$	5.99441	+	5.99441i	0.316373	+	0.316373i	−0.531000	+	0.847372i	$0.678183\pi$
$360$	−1.13109	+	3.16726i	−0.0596137	+	0.166929i
$361$	−12.6226	−	7.28768i	−0.664349	−	0.383562i
$362$	4.88524	−	8.46148i	0.256763	−	0.444726i
$363$	−3.04891	−	3.04891i	−0.160026	−	0.160026i
$364$	1.35192	+	2.56132i	0.0708599	+	0.134250i
$365$	2.90157	−	2.46483i	0.151875	−	0.129015i
$366$	17.3765	−	4.65602i	0.908285	−	0.243374i
$367$	−15.6871	+	4.20334i	−0.818859	+	0.219412i	−0.643847	−	0.765154i	$-0.722663\pi$
$367$	−15.6871	+	4.20334i	−0.818859	+	0.219412i	−0.175011	+	0.984566i	$0.555996\pi$
$368$	1.26261	−	4.71213i	0.0658182	−	0.245637i
$369$	5.48029	−	5.48029i	0.285292	−	0.285292i
$370$	12.9631	+	4.62938i	0.673920	+	0.240670i
$371$	10.0193	+	2.68467i	0.520178	+	0.139381i
$372$	7.19953			0.373278
$373$	−0.201535	−	0.0540011i	−0.0104351	−	0.00279607i	0.253598	−	0.967310i	$-0.418386\pi$
$373$	−0.201535	−	0.0540011i	−0.0104351	−	0.00279607i	−0.264033	+	0.964514i	$0.585053\pi$
$374$	−5.15420	+	8.92733i	−0.266517	+	0.461621i
$375$	9.84362	+	9.49191i	0.508322	+	0.490160i
$376$			4.44180i			0.229068i
$377$	7.68687	−	4.05730i	0.395894	−	0.208962i
$378$	−3.12900	+	3.12900i	−0.160938	+	0.160938i
$379$	−2.84377	−	10.6131i	−0.146075	−	0.545158i	−0.999705	−	0.0242788i	$-0.992271\pi$
$379$	−2.84377	−	10.6131i	−0.146075	−	0.545158i	0.853631	−	0.520879i	$-0.174396\pi$
$380$	2.67443	−	3.86919i	0.137195	−	0.198485i
$381$	−14.9956	+	8.65774i	−0.768250	+	0.443549i
$382$		−	4.20640i		−	0.215218i
$383$	−5.00405	−	8.66726i	−0.255695	−	0.442876i	0.709389	−	0.704817i	$-0.248971\pi$
$383$	−5.00405	−	8.66726i	−0.255695	−	0.442876i	−0.965084	+	0.261941i	$0.915638\pi$
$384$	−0.316559	+	1.18141i	−0.0161543	+	0.0602887i
$385$	−4.89447	−	0.398326i	−0.249445	−	0.0203006i
$386$	1.09128	+	1.89015i	0.0555446	+	0.0962061i
$387$	−2.67933	−	9.99938i	−0.136198	−	0.508297i
$388$	2.41643	+	1.39513i	0.122676	+	0.0708268i
$389$	−32.1487			−1.63000			−0.815001	−	0.579460i	$-0.803264\pi$
$389$	−32.1487			−1.63000			−0.815001	+	0.579460i	$0.803264\pi$
$390$	−1.17210	+	9.79094i	−0.0593515	+	0.495784i
$391$	18.3937			0.930210
$392$	5.50339	+	3.17738i	0.277963	+	0.160482i
$393$	1.83642	+	6.85360i	0.0926349	+	0.345718i
$394$	11.8900	+	20.5941i	0.599009	+	1.03751i
$395$	−3.15469	+	2.67986i	−0.158730	+	0.134838i
$396$	1.06428	−	3.97194i	0.0534820	−	0.199598i
$397$	1.72213	+	2.98281i	0.0864311	+	0.149703i	0.906000	−	0.423277i	$-0.139120\pi$
$397$	1.72213	+	2.98281i	0.0864311	+	0.149703i	−0.819569	+	0.572980i	$0.805787\pi$
$398$			25.4502i			1.27571i
$399$	1.78972	−	1.03330i	0.0895982	−	0.0517296i
$400$	−3.86891	−	3.16726i	−0.193445	−	0.158363i
$401$	3.44053	+	12.8402i	0.171812	+	0.641211i	0.997073	+	0.0764591i	$0.0243615\pi$
$401$	3.44053	+	12.8402i	0.171812	+	0.641211i	−0.825261	+	0.564752i	$0.808972\pi$
$402$	7.43988	−	7.43988i	0.371068	−	0.371068i
$403$	−20.6940	+	4.71147i	−1.03084	+	0.234695i
$404$		−	6.64637i		−	0.330669i
$405$	−4.89577	+	0.893894i	−0.243273	+	0.0444180i
$406$	−0.968218	+	1.67700i	−0.0480518	+	0.0832282i
$407$	−16.2566	−	4.35593i	−0.805808	−	0.215915i
$408$	−4.61162			−0.228309
$409$	21.5927	+	5.78575i	1.06769	+	0.286087i	0.749544	−	0.661955i	$-0.230273\pi$
$409$	21.5927	+	5.78575i	1.06769	+	0.286087i	0.318147	+	0.948041i	$0.396940\pi$
$410$	4.93276	+	10.4130i	0.243612	+	0.514264i
$411$	−3.39937	+	3.39937i	−0.167679	+	0.167679i
$412$	−3.75917	+	14.0294i	−0.185201	+	0.691180i
$413$	6.59724	−	1.76773i	0.324629	−	0.0869841i
$414$	−7.08731	+	1.89904i	−0.348322	+	0.0933326i
$415$	−2.00340	−	2.35838i	−0.0983433	−	0.115768i
$416$	0.136768	−	3.60296i	0.00670558	−	0.176649i
$417$	16.9238	+	16.9238i	0.828763	+	0.828763i
$418$	−2.87544	+	4.98041i	−0.140642	+	0.243600i
$419$	−8.43504	−	4.86997i	−0.412079	−	0.237914i	0.279604	−	0.960115i	$-0.409797\pi$
$419$	−8.43504	−	4.86997i	−0.412079	−	0.237914i	−0.691682	+	0.722202i	$0.743130\pi$
$420$	−0.940485	−	1.98536i	−0.0458910	−	0.0968757i
$421$	−1.14288	−	1.14288i	−0.0557007	−	0.0557007i	0.678708	−	0.734408i	$-0.262540\pi$
$421$	−1.14288	−	1.14288i	−0.0557007	−	0.0557007i	−0.734408	+	0.678708i	$0.762540\pi$
$422$	−8.82285	+	5.09387i	−0.429489	+	0.247966i
$423$	5.78567	−	3.34036i	0.281309	−	0.162414i
$424$	−9.13106	−	9.13106i	−0.443443	−	0.443443i
$425$	7.75960	−	17.1814i	0.376396	−	0.833419i
$426$	−15.6870	−	9.05688i	−0.760036	−	0.438807i
$427$	5.90731	−	10.2318i	0.285875	−	0.495150i
$428$	−10.2694	−	10.2694i	−0.496390	−	0.496390i
$429$	0.457337	−	12.0479i	0.0220804	−	0.581679i
$430$	15.3397	+	1.24839i	0.739747	+	0.0602027i
$431$	−12.0169	+	3.21991i	−0.578832	+	0.155098i	−0.536344	−	0.843999i	$-0.680195\pi$
$431$	−12.0169	+	3.21991i	−0.578832	+	0.155098i	−0.0424879	+	0.999097i	$0.513528\pi$
$432$	5.32115	−	1.42580i	0.256014	−	0.0685987i
$433$	1.09131	−	4.07283i	0.0524451	−	0.195728i	−0.934733	−	0.355351i	$-0.884361\pi$
$433$	1.09131	−	4.07283i	0.0524451	−	0.195728i	0.987178	+	0.159623i	$0.0510280\pi$
$434$	3.34341	−	3.34341i	0.160489	−	0.160489i
$435$	−5.95834	+	2.82252i	−0.285681	+	0.135330i
$436$	9.88790	+	2.64946i	0.473545	+	0.126886i
$437$	10.2615			0.490876
$438$	−2.01149	−	0.538978i	−0.0961128	−	0.0257533i
$439$	−4.69617	+	8.13401i	−0.224136	+	0.388215i	−0.956060	−	0.293171i	$-0.905289\pi$
$439$	−4.69617	+	8.13401i	−0.224136	+	0.388215i	0.731924	+	0.681386i	$0.238623\pi$
$440$	5.02894	+	3.47606i	0.239745	+	0.165715i
$441$		−	9.55792i		−	0.455139i
$442$	13.2554	−	3.01791i	0.630496	−	0.143547i
$443$	25.6239	−	25.6239i	1.21743	−	1.21743i	0.248897	−	0.968530i	$-0.419932\pi$
$443$	25.6239	−	25.6239i	1.21743	−	1.21743i	0.968530	−	0.248897i	$-0.0800682\pi$
$444$	−1.94869	−	7.27262i	−0.0924809	−	0.345143i
$445$	−3.56400	−	2.46347i	−0.168950	−	0.116780i
$446$	−11.1856	+	6.45803i	−0.529655	+	0.305796i
$447$			11.7269i			0.554664i
$448$	0.401632	+	0.695647i	0.0189753	+	0.0328663i
$449$	−5.45425	+	20.3555i	−0.257402	+	0.960637i	0.709336	+	0.704870i	$0.248995\pi$
$449$	−5.45425	+	20.3555i	−0.257402	+	0.960637i	−0.966738	+	0.255767i	$0.917672\pi$
$450$	−1.21599	+	7.42131i	−0.0573223	+	0.349844i
$451$	−7.04401	−	12.2006i	−0.331689	−	0.574503i
$452$	2.76544	+	10.3208i	0.130075	+	0.485448i
$453$	16.7695	+	9.68187i	0.787899	+	0.454894i
$454$	−19.0904			−0.895958
$455$	4.00253	+	5.09116i	0.187642	+	0.238677i
$456$	−2.57274			−0.120480
$457$	−36.7166	−	21.1984i	−1.71753	−	0.991618i	−0.923370	−	0.383912i	$-0.874577\pi$
$457$	−36.7166	−	21.1984i	−1.71753	−	0.991618i	−0.794162	−	0.607706i	$-0.792090\pi$
$458$	−6.31486	−	23.5674i	−0.295074	−	1.10123i
$459$	10.3855	+	17.9882i	0.484753	+	0.839617i
$460$	0.884827	−	10.8724i	0.0412553	−	0.506928i
$461$	−2.93590	+	10.9569i	−0.136739	+	0.510316i	0.863246	+	0.504783i	$0.168428\pi$
$461$	−2.93590	+	10.9569i	−0.136739	+	0.510316i	−0.999985	+	0.00553217i	$0.998239\pi$
$462$	1.34302	+	2.32618i	0.0624829	+	0.108223i
$463$			17.5192i			0.814188i	0.913386	+	0.407094i	$0.133458\pi$
$463$			17.5192i			0.814188i	−0.913386	+	0.407094i	$0.866542\pi$
$464$	2.08773	−	1.20535i	0.0969206	−	0.0559571i
$465$	15.8368	−	2.89156i	0.734415	−	0.134093i
$466$	0.801847	+	2.99254i	0.0371449	+	0.138627i
$467$	9.08347	−	9.08347i	0.420333	−	0.420333i	−0.464986	−	0.885318i	$-0.653940\pi$
$467$	9.08347	−	9.08347i	0.420333	−	0.420333i	0.885318	+	0.464986i	$0.153940\pi$
$468$	−4.79588	+	2.53138i	−0.221690	+	0.117013i
$469$		−	6.91006i		−	0.319077i
$470$	1.78397	+	9.77064i	0.0822884	+	0.450686i
$471$	7.97590	−	13.8147i	0.367510	−	0.636546i
$472$	−8.21304	−	2.20068i	−0.378036	−	0.101294i
$473$	−18.8175			−0.865228
$474$	2.18697	+	0.585996i	0.100451	+	0.0269157i
$475$	4.32895	−	9.58520i	0.198626	−	0.439799i
$476$	−2.14160	+	2.14160i	−0.0981602	+	0.0981602i
$477$	−5.02685	+	18.7605i	−0.230164	+	0.858983i
$478$	28.2191	−	7.56128i	1.29071	−	0.345845i
$479$	−28.1201	+	7.53476i	−1.28484	+	0.344272i	−0.835699	−	0.549188i	$-0.814937\pi$
$479$	−28.1201	+	7.53476i	−1.28484	+	0.344272i	−0.449142	+	0.893460i	$0.648270\pi$
$480$	−0.221841	+	2.72590i	−0.0101256	+	0.124420i
$481$	10.3605	+	19.6288i	0.472400	+	0.894997i
$482$	0.289221	+	0.289221i	0.0131736	+	0.0131736i
$483$	2.39640	−	4.15069i	0.109040	−	0.188863i
$484$	3.05304	+	1.76267i	0.138775	+	0.0801216i
$485$	5.87575	+	2.09835i	0.266804	+	0.0952810i
$486$	−9.76119	−	9.76119i	−0.442776	−	0.442776i
$487$	35.1915	−	20.3178i	1.59468	−	0.920688i	0.602190	−	0.798353i	$-0.294295\pi$
$487$	35.1915	−	20.3178i	1.59468	−	0.920688i	0.992489	−	0.122335i	$-0.0390382\pi$
$488$	−12.7377	+	7.35413i	−0.576610	+	0.332906i
$489$	−13.9580	−	13.9580i	−0.631204	−	0.631204i
$490$	13.3820	+	4.77896i	0.604535	+	0.215891i
$491$	−8.54837	−	4.93541i	−0.385783	−	0.222732i	0.294549	−	0.955637i	$-0.404831\pi$
$491$	−8.54837	−	4.93541i	−0.385783	−	0.222732i	−0.680331	+	0.732905i	$0.738164\pi$
$492$	3.15125	−	5.45812i	0.142069	−	0.246071i
$493$	6.42725	+	6.42725i	0.289469	+	0.289469i
$494$	7.39497	−	1.68364i	0.332716	−	0.0757506i
$495$	0.745837	−	9.16454i	0.0335229	−	0.411916i
$496$	−5.68578	+	1.52350i	−0.255299	+	0.0684071i
$497$	−11.4909	+	3.07897i	−0.515436	+	0.138111i
$498$	−0.438078	+	1.63493i	−0.0196308	+	0.0732630i
$499$	12.7167	−	12.7167i	0.569277	−	0.569277i	−0.362649	−	0.931926i	$-0.618127\pi$
$499$	12.7167	−	12.7167i	0.569277	−	0.569277i	0.931926	+	0.362649i	$0.118127\pi$
$500$	−9.78252	−	5.41315i	−0.437488	−	0.242084i
$501$	−9.69495	−	2.59775i	−0.433139	−	0.116059i
$502$	−29.5418			−1.31851
$503$	−6.87490	−	1.84212i	−0.306537	−	0.0821362i	0.102272	−	0.994757i	$-0.467389\pi$
$503$	−6.87490	−	1.84212i	−0.306537	−	0.0821362i	−0.408808	+	0.912620i	$0.634056\pi$
$504$	0.604077	−	1.04629i	0.0269077	−	0.0466056i
$505$	−2.66939	−	14.6200i	−0.118787	−	0.650583i
$506$			13.3373i			0.592917i
$507$	−12.0631	+	10.3584i	−0.535741	+	0.460033i
$508$	10.0106	−	10.0106i	0.444150	−	0.444150i
$509$	8.74773	+	32.6470i	0.387736	+	1.44705i	0.833808	+	0.552054i	$0.186156\pi$
$509$	8.74773	+	32.6470i	0.387736	+	1.44705i	−0.446072	+	0.894997i	$0.647177\pi$
$510$	−10.1442	+	1.85217i	−0.449192	+	0.0820157i
$511$	−1.18442	+	0.683825i	−0.0523957	+	0.0302507i
$512$		−	1.00000i		−	0.0441942i
$513$	5.79389	+	10.0353i	0.255807	+	0.443070i
$514$	1.33965	−	4.99965i	0.0590895	−	0.220525i
$515$	−2.63439	+	32.3703i	−0.116085	+	1.42641i
$516$	−4.20914	−	7.29045i	−0.185297	−	0.320944i
$517$	−3.14305	−	11.7300i	−0.138231	−	0.515885i
$518$	−4.28231	−	2.47240i	−0.188154	−	0.108631i
$519$	−19.7399			−0.866486
$520$	−1.14622	−	7.98036i	−0.0502649	−	0.349962i
$521$	−17.9145			−0.784849			−0.392424	−	0.919784i	$-0.628364\pi$
$521$	−17.9145			−0.784849			−0.392424	+	0.919784i	$0.628364\pi$
$522$	−3.14007	−	1.81292i	−0.137437	−	0.0793493i
$523$	−6.40461	−	23.9023i	−0.280054	−	1.04518i	−0.952378	−	0.304919i	$-0.901371\pi$
$523$	−6.40461	−	23.9023i	−0.280054	−	1.04518i	0.672324	−	0.740257i	$-0.265296\pi$
$524$	−2.90059	−	5.02398i	−0.126713	−	0.219473i
$525$	−2.86617	−	3.98948i	−0.125090	−	0.174115i
$526$	0.299658	−	1.11834i	0.0130657	−	0.0487618i
$527$	−11.0972	−	19.2208i	−0.483400	−	0.837273i
$528$		−	3.34390i		−	0.145525i
$529$	0.691418	−	0.399190i	0.0300617	−	0.0173561i
$530$	−23.7529	−	16.4183i	−1.03176	−	0.713165i
$531$	3.30994	+	12.3529i	0.143639	+	0.536068i
$532$	−1.19476	+	1.19476i	−0.0517996	+	0.0517996i
$533$	−5.48592	+	17.7508i	−0.237622	+	0.768871i
$534$			2.36981i			0.102552i
$535$	−26.7141	−	18.4651i	−1.15495	−	0.798315i
$536$	−4.30124	+	7.44996i	−0.185785	+	0.321789i
$537$	8.60646	+	2.30609i	0.371396	+	0.0995153i
$538$	28.4661			1.22726
$539$	−16.7818	−	4.49667i	−0.722844	−	0.193685i
$540$	11.1323	−	5.27347i	0.479058	−	0.226934i
$541$	−0.220711	+	0.220711i	−0.00948911	+	0.00948911i	−0.711835	−	0.702346i	$-0.752136\pi$
$541$	−0.220711	+	0.220711i	−0.00948911	+	0.00948911i	0.702346	+	0.711835i	$0.252136\pi$
$542$	−0.0593762	+	0.221595i	−0.00255043	+	0.00951832i
$543$	−11.5430	+	3.09293i	−0.495356	+	0.132730i
$544$	3.64199	−	0.975869i	0.156149	−	0.0418401i
$545$	22.8146	+	1.85671i	0.977268	+	0.0795329i
$546$	1.04595	−	3.38438i	0.0447626	−	0.144838i
$547$	−0.00766270	−	0.00766270i	−0.000327633	−	0.000327633i	0.706943	−	0.707271i	$-0.250074\pi$
$547$	−0.00766270	−	0.00766270i	−0.000327633	−	0.000327633i	−0.707271	+	0.706943i	$0.750074\pi$
$548$	1.96528	−	3.40397i	0.0839528	−	0.145411i
$549$	19.1582	+	11.0610i	0.817653	+	0.472072i
$550$	12.4583	+	5.62651i	0.531223	+	0.239915i
$551$	3.58565	+	3.58565i	0.152754	+	0.152754i
$552$	−5.16728	+	2.98333i	−0.219934	+	0.126979i
$553$	1.28775	−	0.743480i	0.0547605	−	0.0316160i
$554$	−12.2505	−	12.2505i	−0.520475	−	0.520475i
$555$	−7.20746	−	15.2149i	−0.305940	−	0.645838i
$556$	−16.9467	−	9.78420i	−0.718702	−	0.414943i
$557$	−14.3954	+	24.9336i	−0.609954	+	1.05647i	0.381293	+	0.924454i	$0.375479\pi$
$557$	−14.3954	+	24.9336i	−0.609954	+	1.05647i	−0.991247	+	0.132017i	$0.957855\pi$
$558$	6.26030	+	6.26030i	0.265019	+	0.265019i
$559$	16.8695	+	18.2008i	0.713505	+	0.769811i
$560$	1.16287	+	1.36891i	0.0491401	+	0.0578470i
$561$	12.1785	−	3.26321i	0.514175	−	0.137773i
$562$	13.0444	−	3.49522i	0.550243	−	0.147437i
$563$	−0.0864810	+	0.322751i	−0.00364474	+	0.0136023i	−0.967724	−	0.252011i	$-0.918908\pi$
$563$	−0.0864810	+	0.322751i	−0.00364474	+	0.0136023i	0.964080	+	0.265614i	$0.0855746\pi$
$564$	3.84151	−	3.84151i	0.161757	−	0.161757i
$565$	10.2283	+	21.5919i	0.430308	+	0.908379i
$566$	−13.0362	−	3.49303i	−0.547950	−	0.146823i
$567$	1.78779			0.0750800
$568$	14.3052	+	3.83307i	0.600234	+	0.160832i
$569$	−19.0466	+	32.9898i	−0.798477	+	1.38300i	0.122131	+	0.992514i	$0.461027\pi$
$569$	−19.0466	+	32.9898i	−0.798477	+	1.38300i	−0.920608	+	0.390489i	$0.872306\pi$
$570$	−5.65927	+	1.03330i	−0.237041	+	0.0432801i
$571$		−	36.5479i		−	1.52948i	−0.644339	−	0.764740i	$-0.722867\pi$
$571$		−	36.5479i		−	1.52948i	0.644339	−	0.764740i	$-0.277133\pi$
$572$	2.18830	+	9.61155i	0.0914972	+	0.401879i
$573$	−3.63792	+	3.63792i	−0.151976	+	0.151976i
$574$	−1.07130	−	3.99813i	−0.0447150	−	0.166879i
$575$	−2.42035	−	24.2714i	−0.100936	−	1.01219i
$576$	−1.30255	+	0.752028i	−0.0542729	+	0.0313345i
$577$			8.38032i			0.348877i	0.984668	+	0.174439i	$0.0558111\pi$
$577$			8.38032i			0.348877i	−0.984668	+	0.174439i	$0.944189\pi$
$578$	−1.39178	−	2.41063i	−0.0578904	−	0.100269i
$579$	0.690907	−	2.57850i	0.0287131	−	0.107159i
$580$	4.10828	−	3.48992i	0.170587	−	0.144911i
$581$	0.555810	+	0.962691i	0.0230589	+	0.0399391i
$582$	−0.883278	−	3.29644i	−0.0366131	−	0.136642i
$583$	30.5747	+	17.6523i	1.26627	+	0.731084i
$584$	1.70262			0.0704547
$585$	−9.53284	+	7.49446i	−0.394134	+	0.309858i
$586$	−4.13057			−0.170632
$587$	23.7536	+	13.7141i	0.980415	+	0.566043i	0.902395	−	0.430909i	$-0.141807\pi$
$587$	23.7536	+	13.7141i	0.980415	+	0.566043i	0.0780194	+	0.996952i	$0.475140\pi$
$588$	−2.01166	−	7.50760i	−0.0829593	−	0.309608i
$589$	−6.19092	−	10.7230i	−0.255092	−	0.441833i
$590$	−18.9501	−	1.54221i	−0.780163	−	0.0634919i
$591$	7.52776	−	28.0940i	0.309651	−	1.15563i
$592$	3.07793	+	5.33114i	0.126502	+	0.219108i
$593$		−	31.5297i		−	1.29477i	−0.762164	−	0.647384i	$-0.775863\pi$
$593$		−	31.5297i		−	1.29477i	0.762164	−	0.647384i	$-0.224137\pi$
$594$	−13.0433	+	7.53055i	−0.535173	+	0.308982i
$595$	−3.85075	+	5.57103i	−0.157866	+	0.228390i
$596$	−2.48154	−	9.26125i	−0.101648	−	0.379356i
$597$	22.0107	−	22.0107i	0.900840	−	0.900840i
$598$	12.9003	−	11.9567i	0.527531	−	0.488945i
$599$			22.6498i			0.925445i	0.886503	+	0.462723i	$0.153127\pi$
$599$			22.6498i			0.925445i	−0.886503	+	0.462723i	$0.846873\pi$
$600$	0.606823	+	6.08526i	0.0247735	+	0.248430i
$601$	−12.2344	+	21.1906i	−0.499052	+	0.864383i	−0.999999	−	0.00109458i	$-0.999652\pi$
$601$	−12.2344	+	21.1906i	−0.499052	+	0.864383i	0.500948	+	0.865478i	$0.332985\pi$
$602$	−5.34033	−	1.43094i	−0.217656	−	0.0583206i
$603$	12.9386			0.526900
$604$	−15.2924	−	4.09758i	−0.622238	−	0.166728i
$605$	7.42373	+	2.65116i	0.301818	+	0.107785i
$606$	−5.74814	+	5.74814i	−0.233502	+	0.233502i
$607$	−8.36321	+	31.2119i	−0.339452	+	1.26685i	0.559509	+	0.828824i	$0.310990\pi$
$607$	−8.36321	+	31.2119i	−0.339452	+	1.26685i	−0.898961	+	0.438029i	$0.855677\pi$
$608$	2.03181	−	0.544421i	0.0824007	−	0.0220792i
$609$	2.28773	−	0.612995i	0.0927035	−	0.0248398i
$610$	−25.0655	+	21.2928i	−1.01487	+	0.862119i
$611$	−8.52791	+	13.5558i	−0.345002	+	0.548409i
$612$	−4.01000	−	4.01000i	−0.162095	−	0.162095i
$613$	−2.02204	+	3.50228i	−0.0816695	+	0.141456i	−0.903967	−	0.427602i	$-0.859359\pi$
$613$	−2.02204	+	3.50228i	−0.0816695	+	0.141456i	0.822298	+	0.569058i	$0.192692\pi$
$614$	18.0978	+	10.4488i	0.730368	+	0.421678i
$615$	4.73965	−	13.2719i	0.191121	−	0.535174i
$616$	−1.55288	−	1.55288i	−0.0625675	−	0.0625675i
$617$	9.41747	−	5.43718i	0.379133	−	0.218893i	−0.298308	−	0.954470i	$-0.596422\pi$
$617$	9.41747	−	5.43718i	0.379133	−	0.218893i	0.677441	+	0.735577i	$0.263089\pi$
$618$	15.3845	−	8.88226i	0.618857	−	0.357297i
$619$	25.3369	+	25.3369i	1.01837	+	1.01837i	0.999828	+	0.0185467i	$0.00590393\pi$
$619$	25.3369	+	25.3369i	1.01837	+	1.01837i	0.0185467	+	0.999828i	$0.494096\pi$
$620$	−11.8951	+	5.63484i	−0.477720	+	0.226301i
$621$	23.2737	+	13.4371i	0.933942	+	0.539212i
$622$	11.3515	−	19.6614i	0.455154	−	0.788349i
$623$	1.10052	+	1.10052i	0.0440916	+	0.0440916i
$624$	−3.23432	+	2.99775i	−0.129476	+	0.120006i
$625$	−23.6927	−	7.97835i	−0.947710	−	0.319134i
$626$	11.1385	−	2.98455i	0.445184	−	0.119287i
$627$	6.79416	−	1.82049i	0.271333	−	0.0727034i
$628$	−3.37558	+	12.5978i	−0.134700	+	0.502708i
$629$	−16.4123	+	16.4123i	−0.654402	+	0.654402i
$630$	0.908565	−	2.54415i	0.0361981	−	0.101361i
$631$	3.30729	+	0.886186i	0.131661	+	0.0352785i	0.324048	−	0.946041i	$-0.394956\pi$
$631$	3.30729	+	0.886186i	0.131661	+	0.0352785i	−0.192387	+	0.981319i	$0.561623\pi$
$632$	−1.85115			−0.0736347
$633$	12.0359	+	3.22502i	0.478385	+	0.128183i
$634$	−2.63514	+	4.56419i	−0.104655	+	0.181267i
$635$	17.9998	−	26.0410i	0.714301	−	1.03341i
$636$			15.7941i			0.626276i
$637$	10.6953	+	20.2630i	0.423763	+	0.802851i
$638$	−4.66042	+	4.66042i	−0.184508	+	0.184508i
$639$	−5.76515	−	21.5158i	−0.228066	−	0.851153i
$640$	−0.401632	−	2.19970i	−0.0158759	−	0.0869509i
$641$	19.5277	−	11.2743i	0.771296	−	0.445308i	−0.0620405	−	0.998074i	$-0.519761\pi$
$641$	19.5277	−	11.2743i	0.771296	−	0.445308i	0.833337	+	0.552765i	$0.186427\pi$
$642$			17.7631i			0.701052i
$643$	−8.83678	−	15.3058i	−0.348489	−	0.603600i	0.637493	−	0.770457i	$-0.279972\pi$
$643$	−8.83678	−	15.3058i	−0.348489	−	0.603600i	−0.985981	+	0.166856i	$0.946638\pi$
$644$	−1.01421	+	3.78509i	−0.0399655	+	0.149153i
$645$	−12.1869	−	14.3463i	−0.479860	−	0.564884i
$646$	3.96556	+	6.86855i	0.156023	+	0.270239i
$647$	6.63889	+	24.7767i	0.261002	+	0.974072i	0.964652	+	0.263526i	$0.0848854\pi$
$647$	6.63889	+	24.7767i	0.261002	+	0.974072i	−0.703651	+	0.710546i	$0.748448\pi$
$648$	−1.92747	−	1.11283i	−0.0757182	−	0.0437160i
$649$	23.2464			0.912500
$650$	−5.72650	−	17.0941i	−0.224612	−	0.670484i
$651$	−5.78312			−0.226658
$652$	13.9769	+	8.06959i	0.547379	+	0.316029i
$653$	10.2253	+	38.1614i	0.400148	+	1.49337i	0.812832	+	0.582498i	$0.197924\pi$
$653$	10.2253	+	38.1614i	0.400148	+	1.49337i	−0.412685	+	0.910874i	$0.635409\pi$
$654$	−6.26020	−	10.8430i	−0.244793	−	0.423994i
$655$	−8.39823	−	9.88628i	−0.328146	−	0.386289i
$656$	−1.33368	+	4.97735i	−0.0520713	+	0.194333i
$657$	−1.28041	−	2.21774i	−0.0499537	−	0.0865224i
$658$		−	3.56794i		−	0.139093i
$659$	3.87016	−	2.23444i	0.150760	−	0.0870413i	−0.422722	−	0.906259i	$-0.638925\pi$
$659$	3.87016	−	2.23444i	0.150760	−	0.0870413i	0.573482	+	0.819218i	$0.305592\pi$
$660$	−1.34302	−	7.35558i	−0.0522769	−	0.286316i
$661$	−5.86365	−	21.8834i	−0.228069	−	0.851167i	−0.981151	−	0.193240i	$-0.938100\pi$
$661$	−5.86365	−	21.8834i	−0.228069	−	0.851167i	0.753082	−	0.657927i	$-0.228566\pi$
$662$	−23.6339	+	23.6339i	−0.918558	+	0.918558i
$663$	−14.0740	−	8.85395i	−0.546591	−	0.343859i
$664$		−	1.38388i		−	0.0537049i
$665$	−2.14827	+	3.10798i	−0.0833064	+	0.120522i
$666$	4.62938	−	8.01833i	0.179385	−	0.310704i
$667$	11.3596	+	3.04379i	0.439844	+	0.117856i
$668$	8.20624			0.317509
$669$	15.2592	+	4.08869i	0.589954	+	0.158078i
$670$	−6.46930	+	18.1152i	−0.249931	+	0.699852i
$671$	28.4342	−	28.4342i	1.09769	−	1.09769i
$672$	0.254280	−	0.948987i	0.00980907	−	0.0366080i
$673$	35.2796	−	9.45314i	1.35993	−	0.364392i	0.496139	−	0.868243i	$-0.334751\pi$
$673$	35.2796	−	9.45314i	1.35993	−	0.364392i	0.863790	+	0.503851i	$0.168084\pi$
$674$	11.8163	−	3.16618i	0.455148	−	0.121957i
$675$	22.3697	−	16.0712i	0.861012	−	0.618579i
$676$	7.33479	−	10.7332i	0.282107	−	0.412814i
$677$	0.756304	+	0.756304i	0.0290671	+	0.0290671i	0.721491	−	0.692424i	$-0.243457\pi$
$677$	0.756304	+	0.756304i	0.0290671	+	0.0290671i	−0.692424	+	0.721491i	$0.743457\pi$
$678$	6.53425	−	11.3177i	0.250946	−	0.434652i
$679$	−1.94103	−	1.12066i	−0.0744900	−	0.0430068i
$680$	7.61936	−	3.60936i	0.292189	−	0.138413i
$681$	16.5104	+	16.5104i	0.632681	+	0.632681i
$682$	13.9371	−	8.04658i	0.533679	−	0.308120i
$683$	16.1469	−	9.32241i	0.617844	−	0.356712i	−0.158185	−	0.987409i	$-0.550564\pi$
$683$	16.1469	−	9.32241i	0.617844	−	0.356712i	0.776029	+	0.630697i	$0.217231\pi$
$684$	−2.23711	−	2.23711i	−0.0855381	−	0.0855381i
$685$	2.95590	−	8.27705i	0.112939	−	0.316250i
$686$	−9.29021	−	5.36370i	−0.354702	−	0.204787i
$687$	−14.9209	+	25.8438i	−0.569268	+	0.986001i
$688$	4.86688	+	4.86688i	0.185548	+	0.185548i
$689$	−10.3359	−	45.3977i	−0.393765	−	1.72952i
$690$	−10.1683	+	8.63779i	−0.387100	+	0.328835i
$691$	22.6229	−	6.06180i	0.860617	−	0.230602i	0.198591	−	0.980082i	$-0.436363\pi$
$691$	22.6229	−	6.06180i	0.860617	−	0.230602i	0.662026	+	0.749481i	$0.269697\pi$
$692$	15.5895	−	4.17719i	0.592623	−	0.158793i
$693$	−0.854897	+	3.19052i	−0.0324749	+	0.121198i
$694$	11.2601	−	11.2601i	0.427429	−	0.427429i
$695$	−41.2074	−	14.7160i	−1.56309	−	0.558209i
$696$	−2.84804	−	0.763130i	−0.107955	−	0.0289264i
$697$	−19.4290			−0.735925
$698$	−2.66464	−	0.713989i	−0.100858	−	0.0270249i
$699$	1.89463	−	3.28159i	0.0716613	−	0.124121i
$700$	3.10776	+	2.54415i	0.117462	+	0.0961598i
$701$			17.7878i			0.671835i	0.941891	+	0.335917i	$0.109046\pi$
$701$			17.7878i			0.671835i	−0.941891	+	0.335917i	$0.890954\pi$
$702$	18.9769	+	5.86484i	0.716235	+	0.221354i
$703$	−9.15616	+	9.15616i	−0.345331	+	0.345331i
$704$	0.707606	+	2.64082i	0.0266689	+	0.0995297i
$705$	6.90730	−	9.99305i	0.260144	−	0.376360i
$706$	−8.28070	+	4.78086i	−0.311648	+	0.179930i
$707$			5.33879i			0.200786i
$708$	5.19981	+	9.00634i	0.195421	+	0.338479i
$709$	−6.01140	+	22.4349i	−0.225763	+	0.842559i	0.756335	+	0.654185i	$0.226988\pi$
$709$	−6.01140	+	22.4349i	−0.225763	+	0.842559i	−0.982097	+	0.188374i	$0.939678\pi$
$710$	33.0067	+	2.68618i	1.23872	+	0.100811i
$711$	1.39211	+	2.41121i	0.0522083	+	0.0904275i
$712$	−0.501479	−	1.87154i	−0.0187937	−	0.0701391i
$713$	−24.8685	−	14.3579i	−0.931334	−	0.537706i
$714$	3.70435			0.138632
$715$	8.67391	+	20.2637i	0.324386	+	0.757818i
$716$	−7.28489			−0.272249
$717$	−30.9448	−	17.8660i	−1.15565	−	0.667217i
$718$	2.19410	+	8.18851i	0.0818833	+	0.305592i
$719$	−5.04735	−	8.74227i	−0.188235	−	0.326032i	0.756427	−	0.654078i	$-0.226943\pi$
$719$	−5.04735	−	8.74227i	−0.188235	−	0.326032i	−0.944662	+	0.328046i	$0.893610\pi$
$720$	−2.56318	+	2.17738i	−0.0955242	+	0.0811463i
$721$	3.01961	−	11.2693i	0.112456	−	0.419692i
$722$	−7.28768	−	12.6226i	−0.271219	−	0.469766i
$723$		−	0.500268i		−	0.0186052i
$724$	8.46148	−	4.88524i	0.314469	−	0.181559i
$725$	7.63534	−	9.32681i	0.283569	−	0.346389i
$726$	−1.11598	−	4.16489i	−0.0414179	−	0.154574i
$727$	−13.3436	+	13.3436i	−0.494887	+	0.494887i	−0.909842	−	0.414955i	$-0.863797\pi$
$727$	−13.3436	+	13.3436i	−0.494887	+	0.494887i	0.414955	+	0.909842i	$0.363797\pi$
$728$	−0.109860	+	2.89413i	−0.00407170	+	0.107263i
$729$			23.5610i			0.872628i
$730$	3.74525	−	0.683825i	0.138618	−	0.0253095i
$731$	−12.9757	+	22.4746i	−0.479924	+	0.831253i
$732$	17.3765	+	4.65602i	0.642254	+	0.172092i
$733$	−6.16862			−0.227843			−0.113922	−	0.993490i	$-0.536341\pi$
$733$	−6.16862			−0.227843			−0.113922	+	0.993490i	$0.536341\pi$
$734$	−15.6871	−	4.20334i	−0.579020	−	0.155148i
$735$	−7.44034	−	15.7065i	−0.274441	−	0.579345i
$736$	3.44952	−	3.44952i	0.127151	−	0.127151i
$737$	6.08716	−	22.7176i	0.224224	−	0.836814i
$738$	7.48621	−	2.00592i	0.275571	−	0.0738391i
$739$	−13.6921	+	3.66878i	−0.503671	+	0.134958i	−0.501703	−	0.865040i	$-0.667293\pi$
$739$	−13.6921	+	3.66878i	−0.503671	+	0.134958i	−0.00196755	+	0.999998i	$0.500626\pi$
$740$	8.91170	+	10.4907i	0.327600	+	0.385647i
$741$	−7.85168	−	4.93947i	−0.288439	−	0.181456i
$742$	7.33466	+	7.33466i	0.269264	+	0.269264i
$743$	−4.29096	+	7.43216i	−0.157420	+	0.272659i	−0.933938	−	0.357436i	$-0.883651\pi$
$743$	−4.29096	+	7.43216i	−0.157420	+	0.272659i	0.776518	+	0.630096i	$0.216984\pi$
$744$	6.23497	+	3.59976i	0.228585	+	0.131974i
$745$	−9.17828	−	19.3753i	−0.336266	−	0.709857i
$746$	−0.147534	−	0.147534i	−0.00540159	−	0.00540159i
$747$	−1.80257	+	1.04071i	−0.0659526	+	0.0380777i
$748$	−8.92733	+	5.15420i	−0.326415	+	0.188456i
$749$	8.24904	+	8.24904i	0.301413	+	0.301413i
$750$	3.77887	+	13.1420i	0.137985	+	0.479880i
$751$	21.8434	+	12.6113i	0.797077	+	0.460192i	0.842448	−	0.538778i	$-0.181114\pi$
$751$	21.8434	+	12.6113i	0.797077	+	0.460192i	−0.0453712	+	0.998970i	$0.514447\pi$
$752$	−2.22090	+	3.84671i	−0.0809879	+	0.140275i
$753$	25.5493	+	25.5493i	0.931069	+	0.931069i
$754$	8.68567	+	0.329706i	0.316314	+	0.0120072i
$755$	−35.2844	−	2.87155i	−1.28413	−	0.104506i
$756$	−4.27429	+	1.14529i	−0.155454	+	0.0416539i
$757$	−15.3461	+	4.11199i	−0.557765	+	0.149453i	−0.526679	−	0.850064i	$-0.676563\pi$
$757$	−15.3461	+	4.11199i	−0.557765	+	0.149453i	−0.0310858	+	0.999517i	$0.509897\pi$
$758$	2.84377	−	10.6131i	0.103290	−	0.385485i
$759$	11.5349	−	11.5349i	0.418689	−	0.418689i
$760$	4.25072	−	2.01360i	0.154190	−	0.0730411i
$761$	−29.8510	−	7.99855i	−1.08210	−	0.289947i	−0.326643	−	0.945148i	$-0.605917\pi$
$761$	−29.8510	−	7.99855i	−1.08210	−	0.289947i	−0.755455	+	0.655201i	$0.772584\pi$
$762$	−17.3155			−0.627274
$763$	−7.94260	−	2.12821i	−0.287542	−	0.0770465i
$764$	2.10320	−	3.64285i	0.0760910	−	0.131794i
$765$	−10.4313	−	7.21026i	−0.377146	−	0.260687i
$766$		−	10.0081i		−	0.361607i
$767$	−20.8400	−	22.4846i	−0.752488	−	0.811871i
$768$	−0.864854	+	0.864854i	−0.0312077	+	0.0312077i
$769$	−4.06691	−	15.1779i	−0.146657	−	0.547330i	−0.999676	−	0.0254508i	$-0.991898\pi$
$769$	−4.06691	−	15.1779i	−0.146657	−	0.547330i	0.853020	−	0.521879i	$-0.174769\pi$
$770$	−4.03957	−	2.79219i	−0.145576	−	0.100624i
$771$	−5.48257	+	3.16536i	−0.197450	+	0.113998i
$772$			2.18256i			0.0785520i
$773$	−22.5189	−	39.0038i	−0.809947	−	1.40287i	−0.912900	−	0.408184i	$-0.866162\pi$
$773$	−22.5189	−	39.0038i	−0.809947	−	1.40287i	0.102952	−	0.994686i	$-0.467171\pi$
$774$	2.67933	−	9.99938i	0.0963064	−	0.359420i
$775$	−23.9026	+	17.1724i	−0.858608	+	0.616852i
$776$	1.39513	+	2.41643i	0.0500821	+	0.0867448i
$777$	1.56532	+	5.84184i	0.0561554	+	0.209575i
$778$	−27.8416	−	16.0743i	−0.998168	−	0.576293i
$779$	−10.8391			−0.388351
$780$	−5.91054	+	7.89316i	−0.211631	+	0.282620i
$781$	−40.4899			−1.44884
$782$	15.9294	+	9.19685i	0.569635	+	0.328879i
$783$	3.43718	+	12.8277i	0.122835	+	0.458426i
$784$	3.17738	+	5.50339i	0.113478	+	0.196550i
$785$	−2.36557	+	29.0672i	−0.0844309	+	1.03745i
$786$	−1.83642	+	6.85360i	−0.0655028	+	0.244460i
$787$	−1.87156	−	3.24163i	−0.0667138	−	0.115552i	0.830739	−	0.556662i	$-0.187918\pi$
$787$	−1.87156	−	3.24163i	−0.0667138	−	0.115552i	−0.897453	+	0.441110i	$0.854585\pi$
$788$			23.7800i			0.847127i
$789$	−1.22636	+	0.708039i	−0.0436595	+	0.0252068i
$790$	−4.07197	+	0.743480i	−0.144874	+	0.0264518i
$791$	−2.22138	−	8.29030i	−0.0789832	−	0.294769i
$792$	2.90766	−	2.90766i	0.103319	−	0.103319i
$793$	−52.9932	−	2.01161i	−1.88184	−	0.0714344i
$794$			3.44426i			0.122232i
$795$	6.34341	+	34.7423i	0.224977	+	1.23218i
$796$	−12.7251	+	22.0406i	−0.451030	+	0.781207i
$797$	−11.4016	−	3.05505i	−0.403866	−	0.108216i	0.0511670	−	0.998690i	$-0.483706\pi$
$797$	−11.4016	−	3.05505i	−0.403866	−	0.108216i	−0.455033	+	0.890475i	$0.650373\pi$
$798$	2.06659			0.0731566
$799$	−16.1770	−	4.33462i	−0.572302	−	0.153348i
$800$	−1.76694	−	4.67738i	−0.0624709	−	0.165370i
$801$	−2.06065	+	2.06065i	−0.0728096	+	0.0728096i
$802$	−3.44053	+	12.8402i	−0.121489	+	0.453405i
$803$	−4.49631	+	1.20478i	−0.158671	+	0.0425158i
$804$	10.1631	−	2.72319i	0.358424	−	0.0960394i
$805$	−0.710750	+	8.73341i	−0.0250506	+	0.307812i
$806$	−20.2772	−	6.26673i	−0.714235	−	0.220736i
$807$	−24.6190	−	24.6190i	−0.866629	−	0.866629i
$808$	3.32318	−	5.75592i	0.116909	−	0.202493i
$809$	−2.47417	−	1.42847i	−0.0869874	−	0.0502222i	0.455875	−	0.890044i	$-0.349326\pi$
$809$	−2.47417	−	1.42847i	−0.0869874	−	0.0502222i	−0.542863	+	0.839821i	$0.682660\pi$
$810$	−4.68681	−	1.67375i	−0.164678	−	0.0588097i
$811$	26.1554	+	26.1554i	0.918439	+	0.918439i	0.996916	−	0.0784772i	$-0.0250058\pi$
$811$	26.1554	+	26.1554i	0.918439	+	0.918439i	−0.0784772	+	0.996916i	$0.525006\pi$
$812$	−1.67700	+	0.968218i	−0.0588512	+	0.0339778i
$813$	0.242999	−	0.140296i	0.00852235	−	0.00492038i
$814$	−11.9006	−	11.9006i	−0.417117	−	0.417117i
$815$	33.9861	+	12.1371i	1.19048	+	0.425144i
$816$	−3.99378	−	2.30581i	−0.139810	−	0.0807194i
$817$	−7.23893	+	12.5382i	−0.253258	+	0.438656i
$818$	15.8070	+	15.8070i	0.552677	+	0.552677i
$819$	3.85236	−	2.03336i	0.134612	−	0.0710515i
$820$	−0.934628	+	11.4843i	−0.0326386	+	0.401051i
$821$	−9.22721	+	2.47242i	−0.322032	+	0.0862882i	−0.416214	−	0.909267i	$-0.636643\pi$
$821$	−9.22721	+	2.47242i	−0.322032	+	0.0862882i	0.0941818	+	0.995555i	$0.469977\pi$
$822$	−4.64362	+	1.24426i	−0.161965	+	0.0433984i
$823$	−2.83715	+	10.5884i	−0.0988969	+	0.369088i	−0.997581	−	0.0695073i	$-0.977857\pi$
$823$	−2.83715	+	10.5884i	−0.0988969	+	0.369088i	0.898685	+	0.438596i	$0.144524\pi$
$824$	−10.2702	+	10.2702i	−0.357781	+	0.357781i
$825$	−5.90848	−	15.6407i	−0.205707	−	0.544539i
$826$	6.59724	+	1.76773i	0.229547	+	0.0615070i
$827$	45.2589			1.57381			0.786904	−	0.617076i	$-0.211683\pi$
$827$	45.2589			1.57381			0.786904	+	0.617076i	$0.211683\pi$
$828$	−7.08731	−	1.89904i	−0.246301	−	0.0659961i
$829$	13.5206	−	23.4184i	0.469591	−	0.813356i	−0.529804	−	0.848120i	$-0.677735\pi$
$829$	13.5206	−	23.4184i	0.469591	−	0.813356i	0.999396	+	0.0347639i	$0.0110679\pi$
$830$	−0.555810	−	3.04412i	−0.0192924	−	0.105663i
$831$			21.1898i			0.735067i
$832$	1.91992	−	3.05187i	0.0665613	−	0.105804i
$833$	−16.9426	+	16.9426i	−0.587026	+	0.587026i
$834$	6.19455	+	23.1184i	0.214500	+	0.800523i
$835$	18.0513	−	3.29589i	0.624690	−	0.114059i
$836$	−4.98041	+	2.87544i	−0.172251	+	0.0994492i
$837$		−	32.4271i		−	1.12084i
$838$	−4.86997	−	8.43504i	−0.168230	−	0.291384i
$839$	4.23247	−	15.7958i	0.146121	−	0.545331i	−0.853582	−	0.520959i	$-0.825575\pi$
$839$	4.23247	−	15.7958i	0.146121	−	0.545331i	0.999703	−	0.0243726i	$-0.00775882\pi$
$840$	0.178197	−	2.18962i	0.00614839	−	0.0755489i
$841$	−11.5942	−	20.0818i	−0.399802	−	0.692477i
$842$	−0.418325	−	1.56121i	−0.0144164	−	0.0538028i
$843$	−14.3043	−	8.25860i	−0.492667	−	0.284441i
$844$	−10.1877			−0.350677
$845$	11.8236	−	26.5557i	0.406743	−	0.913542i
$846$	6.68071			0.229688
$847$	−2.45240	−	1.41589i	−0.0842655	−	0.0486507i
$848$	−3.34220	−	12.4733i	−0.114772	−	0.428334i
$849$	8.25341	+	14.2953i	0.283256	+	0.490614i
$850$	15.3107	−	10.9997i	0.525153	−	0.377287i
$851$	−7.77247	+	29.0073i	−0.266437	+	0.994356i
$852$	−9.05688	−	15.6870i	−0.310284	−	0.537427i
$853$		−	51.7118i		−	1.77058i	−0.465041	−	0.885289i	$-0.653960\pi$
$853$		−	51.7118i		−	1.77058i	0.465041	−	0.885289i	$-0.346040\pi$
$854$	10.2318	−	5.90731i	0.350124	−	0.202144i
$855$	−5.81948	−	4.02248i	−0.199022	−	0.137566i
$856$	−3.75886	−	14.0283i	−0.128475	−	0.479476i
$857$	14.4575	−	14.4575i	0.493860	−	0.493860i	−0.415660	−	0.909520i	$-0.636449\pi$
$857$	14.4575	−	14.4575i	0.493860	−	0.493860i	0.909520	+	0.415660i	$0.136449\pi$
$858$	6.42003	−	10.2051i	0.219176	−	0.348398i
$859$		−	23.2592i		−	0.793594i	−0.917906	−	0.396797i	$-0.870122\pi$
$859$		−	23.2592i		−	0.793594i	0.917906	−	0.396797i	$-0.129878\pi$
$860$	12.6604	+	8.75099i	0.431716	+	0.298406i
$861$	−2.53128	+	4.38431i	−0.0862659	+	0.149417i
$862$	−12.0169	−	3.21991i	−0.409296	−	0.109671i
$863$	3.57023			0.121532			0.0607661	−	0.998152i	$-0.480646\pi$
$863$	3.57023			0.121532			0.0607661	+	0.998152i	$0.480646\pi$
$864$	5.32115	+	1.42580i	0.181029	+	0.0485066i
$865$	32.6145	−	15.4498i	1.10893	−	0.525309i
$866$	2.98152	−	2.98152i	0.101316	−	0.101316i
$867$	−0.881159	+	3.28853i	−0.0299257	+	0.111684i
$868$	4.56718	−	1.22377i	0.155020	−	0.0415376i
$869$	4.88855	−	1.30988i	0.165833	−	0.0444347i
$870$	−6.57134	−	0.534794i	−0.222789	−	0.0181312i
$871$	−27.4301	+	14.4783i	−0.929435	+	0.490577i
$872$	7.23845	+	7.23845i	0.245125	+	0.245125i
$873$	2.09835	−	3.63444i	0.0710183	−	0.123007i
$874$	8.88675	+	5.13077i	0.300599	+	0.173551i
$875$	7.85795	+	4.34819i	0.265647	+	0.146996i
$876$	−1.47251	−	1.47251i	−0.0497516	−	0.0497516i
$877$	23.0724	−	13.3209i	0.779099	−	0.449813i	−0.0570117	−	0.998374i	$-0.518157\pi$
$877$	23.0724	−	13.3209i	0.779099	−	0.449813i	0.836111	+	0.548560i	$0.184824\pi$
$878$	−8.13401	+	4.69617i	−0.274510	+	0.158488i
$879$	3.57234	+	3.57234i	0.120492	+	0.120492i
$880$	2.61716	+	5.52483i	0.0882245	+	0.186242i
$881$	33.8137	+	19.5224i	1.13921	+	0.657725i	0.946236	−	0.323478i	$-0.104852\pi$
$881$	33.8137	+	19.5224i	1.13921	+	0.657725i	0.192977	+	0.981203i	$0.438186\pi$
$882$	4.77896	−	8.27740i	0.160916	−	0.278715i
$883$	8.95770	+	8.95770i	0.301451	+	0.301451i	0.841581	−	0.540131i	$-0.181625\pi$
$883$	8.95770	+	8.95770i	0.301451	+	0.301451i	−0.540131	+	0.841581i	$0.681625\pi$
$884$	12.9885	+	4.01412i	0.436850	+	0.135010i
$885$	15.0553	+	17.7229i	0.506078	+	0.595747i
$886$	35.0029	−	9.37899i	1.17594	−	0.315093i
$887$	3.54947	−	0.951077i	0.119179	−	0.0319340i	−0.198736	−	0.980053i	$-0.563684\pi$
$887$	3.54947	−	0.951077i	0.119179	−	0.0319340i	0.317916	+	0.948119i	$0.397017\pi$
$888$	1.94869	−	7.27262i	0.0653938	−	0.244053i
$889$	−8.04119	+	8.04119i	−0.269693	+	0.269693i
$890$	−1.85478	−	3.91543i	−0.0621722	−	0.131245i
$891$	5.87755	+	1.57489i	0.196905	+	0.0527607i
$892$	−12.9161			−0.432462
$893$	−9.02489	−	2.41821i	−0.302006	−	0.0809223i
$894$	−5.86346	+	10.1558i	−0.196103	+	0.339661i
$895$	−16.0246	+	2.92585i	−0.535643	+	0.0978003i
$896$			0.803265i			0.0268352i
$897$	−21.4976	−	0.816046i	−0.717785	−	0.0272470i
$898$	−14.9013	+	14.9013i	−0.497263	+	0.497263i
$899$	−3.67271	−	13.7067i	−0.122492	−	0.457146i
$900$	−4.76374	+	5.81905i	−0.158791	+	0.193968i
$901$	42.1660	−	24.3445i	1.40475	−	0.811034i
$902$		−	14.0880i		−	0.469080i
$903$	3.38105	+	5.85616i	0.112514	+	0.194881i
$904$	−2.76544	+	10.3208i	−0.0919771	+	0.343263i
$905$	16.6507	−	14.1445i	0.553487	−	0.470178i
$906$	9.68187	+	16.7695i	0.321659	+	0.557129i
$907$	−2.61002	−	9.74072i	−0.0866642	−	0.323435i	0.908960	−	0.416884i	$-0.136878\pi$
$907$	−2.61002	−	9.74072i	−0.0866642	−	0.323435i	−0.995624	+	0.0934482i	$0.970211\pi$
$908$	−16.5328	−	9.54521i	−0.548660	−	0.316769i
$909$	−9.99650			−0.331563
$910$	0.920714	+	6.41034i	0.0305214	+	0.212501i
$911$	30.6525			1.01556			0.507781	−	0.861486i	$-0.330466\pi$
$911$	30.6525			1.01556			0.507781	+	0.861486i	$0.330466\pi$
$912$	−2.22806	−	1.28637i	−0.0737785	−	0.0425960i
$913$	0.979240	+	3.65457i	0.0324081	+	0.120949i
$914$	−21.1984	−	36.7166i	−0.701179	−	1.21448i
$915$	40.0932	+	3.26290i	1.32544	+	0.107868i
$916$	6.31486	−	23.5674i	0.208649	−	0.778688i
$917$	2.32994	+	4.03558i	0.0769415	+	0.133267i
$918$			20.7710i			0.685544i
$919$	−15.2759	+	8.81953i	−0.503904	+	0.290929i	−0.730324	−	0.683100i	$-0.760631\pi$
$919$	−15.2759	+	8.81953i	−0.503904	+	0.290929i	0.226420	+	0.974030i	$0.427298\pi$
$920$	6.20248	−	8.97336i	0.204490	−	0.295843i
$921$	−6.61529	−	24.6886i	−0.217981	−	0.813518i
$922$	−8.02104	+	8.02104i	−0.264159	+	0.264159i
$923$	36.2984	+	39.1629i	1.19478	+	1.28906i
$924$			2.68604i			0.0883641i
$925$	23.8165	+	19.4972i	0.783081	+	0.641065i
$926$	−8.75961	+	15.1721i	−0.287859	+	0.498586i
$927$	21.1010	+	5.65400i	0.693048	+	0.185702i
$928$	2.41071			0.0791353
$929$	−19.9672	−	5.35020i	−0.655104	−	0.175535i	−0.0840684	−	0.996460i	$-0.526791\pi$
$929$	−19.9672	−	5.35020i	−0.655104	−	0.175535i	−0.571035	+	0.820925i	$0.693458\pi$
$930$	15.1609	+	5.41424i	0.497144	+	0.177540i
$931$	−9.45199	+	9.45199i	−0.309777	+	0.309777i
$932$	−0.801847	+	2.99254i	−0.0262654	+	0.0980237i
$933$	−26.8216	+	7.18683i	−0.878100	+	0.235286i
$934$	12.4082	−	3.32478i	0.406010	−	0.108790i
$935$	−17.5674	+	14.9232i	−0.574515	+	0.488041i
$936$	−5.41904	−	0.205706i	−0.177127	−	0.00672371i
$937$	−0.853535	−	0.853535i	−0.0278838	−	0.0278838i	0.693027	−	0.720911i	$-0.256276\pi$
$937$	−0.853535	−	0.853535i	−0.0278838	−	0.0278838i	−0.720911	+	0.693027i	$0.756276\pi$
$938$	3.45503	−	5.98429i	0.112811	−	0.195394i
$939$	−12.2144	−	7.05197i	−0.398601	−	0.230132i
$940$	−3.34036	+	9.35361i	−0.108950	+	0.305081i
$941$	32.3664	+	32.3664i	1.05511	+	1.05511i	0.998390	+	0.0567240i	$0.0180655\pi$
$941$	32.3664	+	32.3664i	1.05511	+	1.05511i	0.0567240	+	0.998390i	$0.481934\pi$
$942$	13.8147	−	7.97590i	0.450106	−	0.259869i
$943$	−21.7700	+	12.5689i	−0.708929	+	0.409301i
$944$	−6.01236	−	6.01236i	−0.195686	−	0.195686i
$945$	−8.94218	+	4.23599i	−0.290889	+	0.137797i
$946$	−16.2964	−	9.40873i	−0.529842	−	0.305904i
$947$	18.3520	−	31.7867i	0.596361	−	1.03293i	−0.396992	−	0.917822i	$-0.629946\pi$
$947$	18.3520	−	31.7867i	0.596361	−	1.03293i	0.993353	−	0.115106i	$-0.0367207\pi$
$948$	1.60097	+	1.60097i	0.0519971	+	0.0519971i
$949$	5.19616	+	3.26889i	0.168674	+	0.106113i
$950$	8.54158	−	6.13656i	0.277126	−	0.199096i
$951$	6.22637	−	1.66835i	0.201904	−	0.0541000i
$952$	−2.92548	+	0.783881i	−0.0948155	+	0.0254057i
$953$	3.85219	−	14.3766i	0.124785	−	0.465702i	−0.875047	−	0.484037i	$-0.839170\pi$
$953$	3.85219	−	14.3766i	0.124785	−	0.465702i	0.999832	+	0.0183351i	$0.00583657\pi$
$954$	−13.7336	+	13.7336i	−0.444642	+	0.444642i
$955$	3.16333	−	8.85789i	0.102363	−	0.286635i
$956$	28.2191	+	7.56128i	0.912670	+	0.244549i
$957$	8.06116			0.260580
$958$	−28.1201	−	7.53476i	−0.908520	−	0.243437i
$959$	−1.57864	+	2.73429i	−0.0509771	+	0.0882949i
$960$	−1.55507	+	2.24977i	−0.0501896	+	0.0726112i
$961$			3.64912i			0.117713i
$962$	−0.841923	+	22.1793i	−0.0271447	+	0.715090i
$963$	−15.4457	+	15.4457i	−0.497732	+	0.497732i
$964$	0.105862	+	0.395083i	0.00340959	+	0.0127248i
$965$	0.876586	+	4.80098i	0.0282183	+	0.154549i
$966$	4.15069	−	2.39640i	0.133546	−	0.0771030i
$967$			25.6952i			0.826303i	0.910662	+	0.413152i	$0.135572\pi$
$967$			25.6952i			0.826303i	−0.910662	+	0.413152i	$0.864428\pi$
$968$	1.76267	+	3.05304i	0.0566545	+	0.0981285i
$969$	2.51066	−	9.36992i	0.0806541	−	0.301005i
$970$	4.03938	+	4.75510i	0.129697	+	0.152677i
$971$	−23.5978	−	40.8726i	−0.757290	−	1.31167i	−0.944228	−	0.329293i	$-0.893190\pi$
$971$	−23.5978	−	40.8726i	−0.757290	−	1.31167i	0.186938	−	0.982372i	$-0.440144\pi$
$972$	−3.57284	−	13.3340i	−0.114599	−	0.427689i
$973$	13.6127	+	7.85930i	0.436404	+	0.251958i
$974$	40.6356			1.30205
$975$	−9.83128	+	19.7365i	−0.314853	+	0.632073i
$976$	−14.7083			−0.470800
$977$	7.06364	+	4.07819i	0.225986	+	0.130473i	0.608719	−	0.793386i	$-0.291684\pi$
$977$	7.06364	+	4.07819i	0.225986	+	0.130473i	−0.382733	+	0.923859i	$0.625017\pi$
$978$	−5.10899	−	19.0670i	−0.163368	−	0.609696i
$979$	2.64863	+	4.58756i	0.0846506	+	0.146619i
$980$	9.19964	+	10.8297i	0.293872	+	0.345941i
$981$	3.98493	−	14.8720i	0.127229	−	0.474825i
$982$	−4.93541	−	8.54837i	−0.157495	−	0.272790i
$983$			32.1327i			1.02487i	0.858725	+	0.512437i	$0.171257\pi$
$983$			32.1327i			1.02487i	−0.858725	+	0.512437i	$0.828743\pi$
$984$	5.45812	−	3.15125i	0.173998	−	0.100458i
$985$	9.55081	+	52.3089i	0.304314	+	1.66670i
$986$	2.35254	+	8.77978i	0.0749200	+	0.279605i
$987$	−3.08575	+	3.08575i	−0.0982204	+	0.0982204i
$988$	7.24606	+	2.23941i	0.230528	+	0.0712452i
$989$			33.5768i			1.06768i
$990$	5.22818	−	7.56381i	0.166163	−	0.240394i
$991$	21.5887	−	37.3927i	0.685787	−	1.18782i	−0.287402	−	0.957810i	$-0.592791\pi$
$991$	21.5887	−	37.3927i	0.685787	−	1.18782i	0.973189	−	0.230008i	$-0.0738752\pi$
$992$	−5.68578	−	1.52350i	−0.180524	−	0.0483712i
$993$	40.8798			1.29728
$994$	−11.4909	−	3.07897i	−0.364468	−	0.0976590i
$995$	−19.1393	+	53.5935i	−0.606756	+	1.69903i
$996$	−1.19685	+	1.19685i	−0.0379237	+	0.0379237i
$997$	−1.57843	+	5.89079i	−0.0499894	+	0.186563i	−0.986406	−	0.164328i	$-0.947455\pi$
$997$	−1.57843	+	5.89079i	−0.0499894	+	0.186563i	0.936416	+	0.350891i	$0.114121\pi$
$998$	17.3713	−	4.65463i	0.549880	−	0.147340i
$999$	−32.7563	+	8.77702i	−1.03636	+	0.277693i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	130.2.p.b.7.2	✓	16
5.2	odd	4		650.2.w.g.293.2		16
5.3	odd	4		130.2.s.b.33.3	yes	16
5.4	even	2		650.2.t.g.7.3		16
13.2	odd	12		130.2.s.b.67.3	yes	16
65.2	even	12		650.2.t.g.93.3		16
65.28	even	12	inner	130.2.p.b.93.2	yes	16
65.54	odd	12		650.2.w.g.457.2		16

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
130.2.p.b.7.2	✓	16	1.1	even	1	trivial
130.2.p.b.93.2	yes	16	65.28	even	12	inner
130.2.s.b.33.3	yes	16	5.3	odd	4
130.2.s.b.67.3	yes	16	13.2	odd	12
650.2.t.g.7.3		16	5.4	even	2
650.2.t.g.93.3		16	65.2	even	12
650.2.w.g.293.2		16	5.2	odd	4
650.2.w.g.457.2		16	65.54	odd	12

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(0.866025 + 0.500000i) q^{2} +(-0.316559 - 1.18141i) q^{3} +(0.500000 + 0.866025i) q^{4} +(1.44768 + 1.70418i) q^{5} +(0.316559 - 1.18141i) q^{6} +(-0.401632 - 0.695647i) q^{7} +1.00000i q^{8} +(1.30255 - 0.752028i) q^{9} +O(q^{10})\)	\(q+(0.866025 + 0.500000i) q^{2} +(-0.316559 - 1.18141i) q^{3} +(0.500000 + 0.866025i) q^{4} +(1.44768 + 1.70418i) q^{5} +(0.316559 - 1.18141i) q^{6} +(-0.401632 - 0.695647i) q^{7} +1.00000i q^{8} +(1.30255 - 0.752028i) q^{9} +(0.401632 + 2.19970i) q^{10} +(-0.707606 - 2.64082i) q^{11} +(0.864854 - 0.864854i) q^{12} +(-1.91992 + 3.05187i) q^{13} -0.803265i q^{14} +(1.55507 - 2.24977i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-3.64199 - 0.975869i) q^{17} +1.50406 q^{18} +(-2.03181 - 0.544421i) q^{19} +(-0.752028 + 2.10581i) q^{20} +(-0.694707 + 0.694707i) q^{21} +(0.707606 - 2.64082i) q^{22} +(-4.71213 + 1.26261i) q^{23} +(1.18141 - 0.316559i) q^{24} +(-0.808474 + 4.93420i) q^{25} +(-3.18864 + 1.68303i) q^{26} +(-3.89535 - 3.89535i) q^{27} +(0.401632 - 0.695647i) q^{28} +(-2.08773 - 1.20535i) q^{29} +(2.47162 - 1.17083i) q^{30} +(4.16228 + 4.16228i) q^{31} +(-0.866025 + 0.500000i) q^{32} +(-2.89590 + 1.67195i) q^{33} +(-2.66612 - 2.66612i) q^{34} +(0.604077 - 1.69153i) q^{35} +(1.30255 + 0.752028i) q^{36} +(3.07793 - 5.33114i) q^{37} +(-1.48739 - 1.48739i) q^{38} +(4.21328 + 1.30213i) q^{39} +(-1.70418 + 1.44768i) q^{40} +(4.97735 - 1.33368i) q^{41} +(-0.948987 + 0.254280i) q^{42} +(1.78140 - 6.64828i) q^{43} +(1.93322 - 1.93322i) q^{44} +(3.16726 + 1.13109i) q^{45} +(-4.71213 - 1.26261i) q^{46} +4.44180 q^{47} +(1.18141 + 0.316559i) q^{48} +(3.17738 - 5.50339i) q^{49} +(-3.16726 + 3.86891i) q^{50} +4.61162i q^{51} +(-3.60296 - 0.136768i) q^{52} +(-9.13106 + 9.13106i) q^{53} +(-1.42580 - 5.32115i) q^{54} +(3.47606 - 5.02894i) q^{55} +(0.695647 - 0.401632i) q^{56} +2.57274i q^{57} +(-1.20535 - 2.08773i) q^{58} +(-2.20068 + 8.21304i) q^{59} +(2.72590 + 0.221841i) q^{60} +(7.35413 + 12.7377i) q^{61} +(1.52350 + 5.68578i) q^{62} +(-1.04629 - 0.604077i) q^{63} -1.00000 q^{64} +(-7.98036 + 1.14622i) q^{65} -3.34390 q^{66} +(7.44996 + 4.30124i) q^{67} +(-0.975869 - 3.64199i) q^{68} +(2.98333 + 5.16728i) q^{69} +(1.36891 - 1.16287i) q^{70} +(3.83307 - 14.3052i) q^{71} +(0.752028 + 1.30255i) q^{72} -1.70262i q^{73} +(5.33114 - 3.07793i) q^{74} +(6.08526 - 0.606823i) q^{75} +(-0.544421 - 2.03181i) q^{76} +(-1.55288 + 1.55288i) q^{77} +(2.99775 + 3.23432i) q^{78} +1.85115i q^{79} +(-2.19970 + 0.401632i) q^{80} +(-1.11283 + 1.92747i) q^{81} +(4.97735 + 1.33368i) q^{82} -1.38388 q^{83} +(-0.948987 - 0.254280i) q^{84} +(-3.60936 - 7.61936i) q^{85} +(4.86688 - 4.86688i) q^{86} +(-0.763130 + 2.84804i) q^{87} +(2.64082 - 0.707606i) q^{88} +(-1.87154 + 0.501479i) q^{89} +(2.17738 + 2.56318i) q^{90} +(2.89413 + 0.109860i) q^{91} +(-3.44952 - 3.44952i) q^{92} +(3.59976 - 6.23497i) q^{93} +(3.84671 + 2.22090i) q^{94} +(-2.01360 - 4.25072i) q^{95} +(0.864854 + 0.864854i) q^{96} +(2.41643 - 1.39513i) q^{97} +(5.50339 - 3.17738i) q^{98} +(-2.90766 - 2.90766i) 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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