LMFDB - Embedded newform 115.2.j.a.64.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [115,2,Mod(4,115)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(115, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 4]))

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

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

chi := DirichletCharacter("115.4");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 115 = 5 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	115.j (of order $22$, degree $10$, 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:	$0.918279623245$
Analytic rank:	$0$
Dimension:	$100$
Relative dimension:	$10$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			64.1
Character	$\chi$	$=$	115.64
Dual form			115.2.j.a.9.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.743795 + 2.53313i) q^{2} +(-1.34601 - 1.16633i) q^{3} +(-4.18102 - 2.68698i) q^{4} +(-2.23607 - 0.00123367i) q^{5} +(3.95561 - 2.54212i) q^{6} +(1.87277 - 0.855264i) q^{7} +(5.92582 - 5.13475i) q^{8} +(0.0244873 + 0.170313i) q^{9} +O(q^{10})$	\(q+(-0.743795 + 2.53313i) q^{2} +(-1.34601 - 1.16633i) q^{3} +(-4.18102 - 2.68698i) q^{4} +(-2.23607 - 0.00123367i) q^{5} +(3.95561 - 2.54212i) q^{6} +(1.87277 - 0.855264i) q^{7} +(5.92582 - 5.13475i) q^{8} +(0.0244873 + 0.170313i) q^{9} +(1.66630 - 5.66334i) q^{10} +(-5.55748 + 1.63182i) q^{11} +(2.49381 + 8.49314i) q^{12} +(-2.87256 - 1.31185i) q^{13} +(0.773542 + 5.38010i) q^{14} +(3.00833 + 2.60964i) q^{15} +(4.47020 + 9.78837i) q^{16} +(-1.10511 - 1.71958i) q^{17} +(-0.449639 - 0.0646484i) q^{18} +(-1.77165 - 1.13857i) q^{19} +(9.34573 + 6.01342i) q^{20} +(-3.51828 - 1.03306i) q^{21} -15.2916i q^{22} +(-1.21456 + 4.63949i) q^{23} -13.9650 q^{24} +(5.00000 + 0.00551712i) q^{25} +(5.45969 - 6.30081i) q^{26} +(-2.72301 + 4.23709i) q^{27} +(-10.1281 - 1.45621i) q^{28} +(1.74171 - 1.11933i) q^{29} +(-8.84816 + 5.67947i) q^{30} +(-1.04153 - 1.20200i) q^{31} +(-12.5978 + 1.81129i) q^{32} +(9.38367 + 4.28538i) q^{33} +(5.17791 - 1.52037i) q^{34} +(-4.18869 + 1.91012i) q^{35} +(0.355246 - 0.777880i) q^{36} +(0.620561 - 0.0892232i) q^{37} +(4.20189 - 3.64095i) q^{38} +(2.33645 + 5.11610i) q^{39} +(-13.2569 + 11.4743i) q^{40} +(0.289709 - 2.01497i) q^{41} +(5.23376 - 8.14389i) q^{42} +(-3.14193 - 2.72250i) q^{43} +(27.6206 + 8.11014i) q^{44} +(-0.0545453 - 0.380862i) q^{45} +(-10.8491 - 6.52746i) q^{46} -0.403164i q^{47} +(5.39949 - 18.3890i) q^{48} +(-1.80825 + 2.08683i) q^{49} +(-3.73295 + 12.6615i) q^{50} +(-0.518105 + 3.60350i) q^{51} +(8.48529 + 13.2034i) q^{52} +(7.50209 - 3.42609i) q^{53} +(-8.70774 - 10.0493i) q^{54} +(12.4289 - 3.64201i) q^{55} +(6.70611 - 14.6843i) q^{56} +(1.05672 + 3.59885i) q^{57} +(1.53994 + 5.24454i) q^{58} +(3.73431 - 8.17700i) q^{59} +(-5.56585 - 18.9943i) q^{60} +(0.892000 + 1.02942i) q^{61} +(3.81950 - 1.74431i) q^{62} +(0.191522 + 0.298014i) q^{63} +(1.71909 - 11.9565i) q^{64} +(6.42161 + 2.93693i) q^{65} +(-17.8350 + 20.5826i) q^{66} +(-1.89660 + 6.45923i) q^{67} +10.1590i q^{68} +(7.04596 - 4.82824i) q^{69} +(-1.72306 - 12.0312i) q^{70} +(-13.3319 - 3.91459i) q^{71} +(1.01962 + 0.883509i) q^{72} +(5.58084 - 8.68396i) q^{73} +(-0.235556 + 1.63833i) q^{74} +(-6.72362 - 5.83905i) q^{75} +(4.34798 + 9.52075i) q^{76} +(-9.01222 + 7.80913i) q^{77} +(-14.6976 + 2.11320i) q^{78} +(-3.54206 + 7.75603i) q^{79} +(-9.98359 - 21.8930i) q^{80} +(9.10231 - 2.67268i) q^{81} +(4.88870 + 2.23259i) q^{82} +(-8.15053 + 1.17187i) q^{83} +(11.9342 + 13.7728i) q^{84} +(2.46898 + 3.84647i) q^{85} +(9.23341 - 5.93395i) q^{86} +(-3.64987 - 0.524772i) q^{87} +(-24.5536 + 38.2062i) q^{88} +(2.09382 - 2.41639i) q^{89} +(1.00534 + 0.145113i) q^{90} -6.50160 q^{91} +(17.5443 - 16.1343i) q^{92} +2.83267i q^{93} +(1.02127 + 0.299871i) q^{94} +(3.96012 + 2.54810i) q^{95} +(19.0693 + 12.2551i) q^{96} +(-9.91281 - 1.42525i) q^{97} +(-3.94125 - 6.13270i) q^{98} +(-0.414009 - 0.906553i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 100 q - 14 q^{4} - 9 q^{5} - 18 q^{6} - 12 q^{9}+O(q^{10}) $ 100 * q - 14 * q^4 - 9 * q^5 - 18 * q^6 - 12 * q^9	$ 100 q - 14 q^{4} - 9 q^{5} - 18 q^{6} - 12 q^{9} - 13 q^{10} - 26 q^{11} - 26 q^{14} - 10 q^{15} - 18 q^{16} - 14 q^{19} + 49 q^{20} - 22 q^{21} - 68 q^{24} + 21 q^{25} - 42 q^{26} - 24 q^{29} + 19 q^{30} - 12 q^{31} + 8 q^{34} - 37 q^{35} - 10 q^{36} + 14 q^{39} - q^{40} + 8 q^{41} + 166 q^{44} - 42 q^{45} - 18 q^{46} + 32 q^{49} - 23 q^{50} - 22 q^{51} + 116 q^{54} + 27 q^{55} - 116 q^{56} + 50 q^{59} + 123 q^{60} - 38 q^{61} + 10 q^{64} + 76 q^{65} - 28 q^{66} + 80 q^{69} + 102 q^{70} - 110 q^{71} + 22 q^{74} + 6 q^{75} + 4 q^{76} + 42 q^{79} + 18 q^{80} + 204 q^{81} + 56 q^{84} - 121 q^{85} + 132 q^{86} - 66 q^{89} - 198 q^{90} + 76 q^{91} - 70 q^{94} - 74 q^{95} + 236 q^{96} - 60 q^{99}+O(q^{100}) $ 100 * q - 14 * q^4 - 9 * q^5 - 18 * q^6 - 12 * q^9 - 13 * q^10 - 26 * q^11 - 26 * q^14 - 10 * q^15 - 18 * q^16 - 14 * q^19 + 49 * q^20 - 22 * q^21 - 68 * q^24 + 21 * q^25 - 42 * q^26 - 24 * q^29 + 19 * q^30 - 12 * q^31 + 8 * q^34 - 37 * q^35 - 10 * q^36 + 14 * q^39 - q^40 + 8 * q^41 + 166 * q^44 - 42 * q^45 - 18 * q^46 + 32 * q^49 - 23 * q^50 - 22 * q^51 + 116 * q^54 + 27 * q^55 - 116 * q^56 + 50 * q^59 + 123 * q^60 - 38 * q^61 + 10 * q^64 + 76 * q^65 - 28 * q^66 + 80 * q^69 + 102 * q^70 - 110 * q^71 + 22 * q^74 + 6 * q^75 + 4 * q^76 + 42 * q^79 + 18 * q^80 + 204 * q^81 + 56 * q^84 - 121 * q^85 + 132 * q^86 - 66 * q^89 - 198 * q^90 + 76 * q^91 - 70 * q^94 - 74 * q^95 + 236 * q^96 - 60 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/115\mathbb{Z}\right)^\times$.

$n$	$47$	$51$
$\chi(n)$	$-1$	$e\left(\frac{6}{11}\right)$

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 $

$2$	−0.743795	+	2.53313i	−0.525942	+	1.79119i	0.0813139	+	0.996689i	$0.474088\pi$
$2$	−0.743795	+	2.53313i	−0.525942	+	1.79119i	−0.607256	+	0.794506i	$0.707730\pi$
$3$	−1.34601	−	1.16633i	−0.777120	−	0.673379i	0.173118	−	0.984901i	$-0.444616\pi$
$3$	−1.34601	−	1.16633i	−0.777120	−	0.673379i	−0.950239	+	0.311522i	$0.899161\pi$
$4$	−4.18102	−	2.68698i	−2.09051	−	1.34349i
$5$	−2.23607	−	0.00123367i	−1.00000	−	0.000551712i
$5$	−2.23607	−	0.00123367i	−1.00000	−	0.000551712i
$6$	3.95561	−	2.54212i	1.61487	−	1.03782i
$7$	1.87277	−	0.855264i	0.707839	−	0.323259i	−0.0287625	−	0.999586i	$-0.509157\pi$
$7$	1.87277	−	0.855264i	0.707839	−	0.323259i	0.736601	+	0.676327i	$0.236429\pi$
$8$	5.92582	−	5.13475i	2.09509	−	1.81541i
$9$	0.0244873	+	0.170313i	0.00816245	+	0.0567711i
$10$	1.66630	−	5.66334i	0.526930	−	1.79090i
$11$	−5.55748	+	1.63182i	−1.67564	+	0.492013i	−0.975131	−	0.221628i	$-0.928863\pi$
$11$	−5.55748	+	1.63182i	−1.67564	+	0.492013i	−0.700511	+	0.713641i	$0.747045\pi$
$12$	2.49381	+	8.49314i	0.719901	+	2.45176i
$13$	−2.87256	−	1.31185i	−0.796703	−	0.363842i	−0.0248891	−	0.999690i	$-0.507923\pi$
$13$	−2.87256	−	1.31185i	−0.796703	−	0.363842i	−0.771814	+	0.635848i	$0.780651\pi$
$14$	0.773542	+	5.38010i	0.206738	+	1.43789i
$15$	3.00833	+	2.60964i	0.776749	+	0.673807i
$16$	4.47020	+	9.78837i	1.11755	+	2.44709i
$17$	−1.10511	−	1.71958i	−0.268029	−	0.417060i	0.680984	−	0.732298i	$-0.261552\pi$
$17$	−1.10511	−	1.71958i	−0.268029	−	0.417060i	−0.949013	+	0.315238i	$0.897916\pi$
$18$	−0.449639	−	0.0646484i	−0.105981	−	0.0152378i
$19$	−1.77165	−	1.13857i	−0.406444	−	0.261206i	0.321407	−	0.946941i	$-0.395844\pi$
$19$	−1.77165	−	1.13857i	−0.406444	−	0.261206i	−0.727851	+	0.685736i	$0.759481\pi$
$20$	9.34573	+	6.01342i	2.08977	+	1.34464i
$21$	−3.51828	−	1.03306i	−0.767752	−	0.225432i
$22$		−	15.2916i		−	3.26017i
$23$	−1.21456	+	4.63949i	−0.253253	+	0.967400i
$23$	−1.21456	+	4.63949i	−0.253253	+	0.967400i
$24$	−13.9650			−2.85060
$25$	5.00000	+	0.00551712i	0.999999	+	0.00110342i
$26$	5.45969	−	6.30081i	1.07073	−	1.23569i
$27$	−2.72301	+	4.23709i	−0.524044	+	0.815428i
$28$	−10.1281	−	1.45621i	−1.91404	−	0.275197i
$29$	1.74171	−	1.11933i	0.323428	−	0.207855i	−0.368844	−	0.929491i	$-0.620246\pi$
$29$	1.74171	−	1.11933i	0.323428	−	0.207855i	0.692272	+	0.721637i	$0.256610\pi$
$30$	−8.84816	+	5.67947i	−1.61544	+	1.03692i
$31$	−1.04153	−	1.20200i	−0.187065	−	0.215885i	0.654469	−	0.756089i	$-0.272892\pi$
$31$	−1.04153	−	1.20200i	−0.187065	−	0.215885i	−0.841534	+	0.540204i	$0.818347\pi$
$32$	−12.5978	+	1.81129i	−2.22699	+	0.320193i
$33$	9.38367	+	4.28538i	1.63349	+	0.745989i
$34$	5.17791	−	1.52037i	0.888004	−	0.260742i
$35$	−4.18869	+	1.91012i	−0.708017	+	0.322869i
$36$	0.355246	−	0.777880i	0.0592076	−	0.129647i
$37$	0.620561	−	0.0892232i	0.102020	−	0.0146682i	−0.0911159	−	0.995840i	$-0.529043\pi$
$37$	0.620561	−	0.0892232i	0.102020	−	0.0146682i	0.193136	+	0.981172i	$0.438134\pi$
$38$	4.20189	−	3.64095i	0.681636	−	0.590641i
$39$	2.33645	+	5.11610i	0.374131	+	0.819232i
$40$	−13.2569	+	11.4743i	−2.09609	+	1.81425i
$41$	0.289709	−	2.01497i	0.0452449	−	0.314685i	−0.954613	−	0.297848i	$-0.903731\pi$
$41$	0.289709	−	2.01497i	0.0452449	−	0.314685i	0.999858	−	0.0168374i	$-0.00535976\pi$
$42$	5.23376	−	8.14389i	0.807586	−	1.25663i
$43$	−3.14193	−	2.72250i	−0.479141	−	0.415178i	0.381517	−	0.924362i	$-0.375402\pi$
$43$	−3.14193	−	2.72250i	−0.479141	−	0.415178i	−0.860658	+	0.509184i	$0.829947\pi$
$44$	27.6206	+	8.11014i	4.16396	+	1.22265i
$45$	−0.0545453	−	0.380862i	−0.00813113	−	0.0567756i
$46$	−10.8491	−	6.52746i	−1.59961	−	0.962421i
$47$		−	0.403164i		−	0.0588075i	−0.999568	−	0.0294037i	$-0.990639\pi$
$47$		−	0.403164i		−	0.0588075i	0.999568	−	0.0294037i	$-0.00936085\pi$
$48$	5.39949	−	18.3890i	0.779349	−	2.65422i
$49$	−1.80825	+	2.08683i	−0.258321	+	0.298119i
$50$	−3.73295	+	12.6615i	−0.527918	+	1.79061i
$51$	−0.518105	+	3.60350i	−0.0725492	+	0.504591i
$52$	8.48529	+	13.2034i	1.17670	+	1.83098i
$53$	7.50209	−	3.42609i	1.03049	−	0.470610i	0.172899	−	0.984940i	$-0.444687\pi$
$53$	7.50209	−	3.42609i	1.03049	−	0.470610i	0.857593	+	0.514330i	$0.171959\pi$
$54$	−8.70774	−	10.0493i	−1.18497	−	1.36753i
$55$	12.4289	−	3.64201i	1.67591	−	0.491089i
$56$	6.70611	−	14.6843i	0.896141	−	1.96228i
$57$	1.05672	+	3.59885i	0.139965	+	0.476679i
$58$	1.53994	+	5.24454i	0.202203	+	0.688642i
$59$	3.73431	−	8.17700i	0.486166	−	1.06455i	−0.494556	−	0.869146i	$-0.664669\pi$
$59$	3.73431	−	8.17700i	0.486166	−	1.06455i	0.980722	−	0.195409i	$-0.0626033\pi$
$60$	−5.56585	−	18.9943i	−0.718548	−	2.45215i
$61$	0.892000	+	1.02942i	0.114209	+	0.131804i	0.809975	−	0.586464i	$-0.199481\pi$
$61$	0.892000	+	1.02942i	0.114209	+	0.131804i	−0.695766	+	0.718268i	$0.744935\pi$
$62$	3.81950	−	1.74431i	0.485077	−	0.221527i
$63$	0.191522	+	0.298014i	0.0241295	+	0.0375462i
$64$	1.71909	−	11.9565i	0.214886	−	1.49457i
$65$	6.42161	+	2.93693i	0.796503	+	0.364282i
$66$	−17.8350	+	20.5826i	−2.19533	+	2.53355i
$67$	−1.89660	+	6.45923i	−0.231707	+	0.789121i	0.758760	+	0.651370i	$0.225805\pi$
$67$	−1.89660	+	6.45923i	−0.231707	+	0.789121i	−0.990467	+	0.137751i	$0.956013\pi$
$68$			10.1590i			1.23196i
$69$	7.04596	−	4.82824i	0.848234	−	0.581251i
$70$	−1.72306	−	12.0312i	−0.205944	−	1.43801i
$71$	−13.3319	−	3.91459i	−1.58220	−	0.464577i	−0.631680	−	0.775229i	$-0.717634\pi$
$71$	−13.3319	−	3.91459i	−1.58220	−	0.464577i	−0.950524	+	0.310653i	$0.899452\pi$
$72$	1.01962	+	0.883509i	0.120164	+	0.104123i
$73$	5.58084	−	8.68396i	0.653188	−	1.01638i	−0.343817	−	0.939037i	$-0.611720\pi$
$73$	5.58084	−	8.68396i	0.653188	−	1.01638i	0.997005	−	0.0773434i	$-0.0246438\pi$
$74$	−0.235556	+	1.63833i	−0.0273828	+	0.190452i
$75$	−6.72362	−	5.83905i	−0.776377	−	0.674236i
$76$	4.34798	+	9.52075i	0.498748	+	1.09211i
$77$	−9.01222	+	7.80913i	−1.02704	+	0.889933i
$78$	−14.6976	+	2.11320i	−1.66418	+	0.239272i
$79$	−3.54206	+	7.75603i	−0.398513	+	0.872621i	0.598906	+	0.800819i	$0.295602\pi$
$79$	−3.54206	+	7.75603i	−0.398513	+	0.872621i	−0.997419	+	0.0718020i	$0.977125\pi$
$80$	−9.98359	−	21.8930i	−1.11620	−	2.44771i
$81$	9.10231	−	2.67268i	1.01137	−	0.296965i
$82$	4.88870	+	2.23259i	0.539867	+	0.246549i
$83$	−8.15053	+	1.17187i	−0.894637	+	0.128629i	−0.574272	−	0.818665i	$-0.694715\pi$
$83$	−8.15053	+	1.17187i	−0.894637	+	0.128629i	−0.320365	+	0.947294i	$0.603806\pi$
$84$	11.9342	+	13.7728i	1.30213	+	1.50273i
$85$	2.46898	+	3.84647i	0.267798	+	0.417208i
$86$	9.23341	−	5.93395i	0.995664	−	0.639875i
$87$	−3.64987	−	0.524772i	−0.391307	−	0.0562615i
$88$	−24.5536	+	38.2062i	−2.61742	+	4.07279i
$89$	2.09382	−	2.41639i	0.221944	−	0.256137i	−0.633847	−	0.773458i	$-0.718525\pi$
$89$	2.09382	−	2.41639i	0.221944	−	0.256137i	0.855791	+	0.517321i	$0.173071\pi$
$90$	1.00534	+	0.145113i	0.105973	+	0.0152962i
$91$	−6.50160			−0.681553
$92$	17.5443	−	16.1343i	1.82912	−	1.68212i
$93$			2.83267i			0.293734i
$94$	1.02127	+	0.299871i	0.105336	+	0.0309293i
$95$	3.96012	+	2.54810i	0.406300	+	0.261430i
$96$	19.0693	+	12.2551i	1.94625	+	1.25078i
$97$	−9.91281	−	1.42525i	−1.00649	−	0.144712i	−0.380698	−	0.924699i	$-0.624316\pi$
$97$	−9.91281	−	1.42525i	−1.00649	−	0.144712i	−0.625795	+	0.779987i	$0.715225\pi$
$98$	−3.94125	−	6.13270i	−0.398126	−	0.619497i
$99$	−0.414009	−	0.906553i	−0.0416095	−	0.0911120i
$100$	−20.8903	−	13.4579i	−2.08903	−	1.34579i
$101$	−2.66635	−	18.5449i	−0.265312	−	1.84529i	−0.491092	−	0.871108i	$-0.663402\pi$
$101$	−2.66635	−	18.5449i	−0.265312	−	1.84529i	0.225780	−	0.974178i	$-0.427507\pi$
$102$	−8.74278	−	3.99269i	−0.865664	−	0.395335i
$103$	−3.68489	−	12.5496i	−0.363083	−	1.23655i	−0.915275	−	0.402830i	$-0.868027\pi$
$103$	−3.68489	−	12.5496i	−0.363083	−	1.23655i	0.552192	−	0.833717i	$-0.313792\pi$
$104$	−23.7583	+	6.97606i	−2.32969	+	0.684059i
$105$	7.86584	+	2.31433i	0.767627	+	0.225856i
$106$	3.09872	+	21.5521i	0.300975	+	2.09332i
$107$	1.70218	−	1.47495i	0.164556	−	0.142588i	−0.568690	−	0.822552i	$-0.692550\pi$
$107$	1.70218	−	1.47495i	0.164556	−	0.142588i	0.733246	+	0.679963i	$0.238004\pi$
$108$	22.7699	−	10.3987i	2.19104	−	1.00061i
$109$	5.07750	−	3.26311i	0.486336	−	0.312549i	−0.274394	−	0.961617i	$-0.588477\pi$
$109$	5.07750	−	3.26311i	0.486336	−	0.312549i	0.760730	+	0.649068i	$0.224841\pi$
$110$	−0.0188647	+	34.1930i	−0.00179868	+	3.26017i
$111$	−0.939346	−	0.603681i	−0.0891588	−	0.0572989i
$112$	16.7433	+	14.5081i	1.58209	+	1.37089i
$113$	−1.49930	+	5.10615i	−0.141042	+	0.480346i	−0.999469	−	0.0325904i	$-0.989624\pi$
$113$	−1.49930	+	5.10615i	−0.141042	+	0.480346i	0.858426	+	0.512937i	$0.171443\pi$
$114$	−9.90233			−0.927438
$115$	2.72156	−	10.3727i	0.253786	−	0.967260i
$116$	−10.2898			−0.955379
$117$	0.153084	−	0.521358i	0.0141527	−	0.0481996i
$118$	17.9358	+	15.5415i	1.65113	+	1.43071i
$119$	−3.54031	−	2.27522i	−0.324540	−	0.208569i
$120$	31.2267	+	0.0172282i	2.85060	+	0.00157271i
$121$	18.9689	−	12.1906i	1.72445	−	1.10824i
$122$	−3.27113	+	1.49387i	−0.296154	+	0.135249i
$123$	−2.74006	+	2.37428i	−0.247063	+	0.214081i
$124$	1.12494	+	7.82415i	0.101023	+	0.702629i
$125$	−11.1803	−	0.0185050i	−0.999999	−	0.00165513i
$126$	−0.897361	+	0.263489i	−0.0799433	+	0.0234735i
$127$	−2.44357	−	8.32204i	−0.216832	−	0.738461i	−0.994020	−	0.109194i	$-0.965173\pi$
$127$	−2.44357	−	8.32204i	−0.216832	−	0.738461i	0.777189	−	0.629268i	$-0.216645\pi$
$128$	5.85445	+	2.67364i	0.517465	+	0.236318i
$129$	1.05376	+	7.32904i	0.0927781	+	0.645286i
$130$	−12.2160	+	14.0823i	−1.07141	+	1.23510i
$131$	6.45185	+	14.1276i	0.563701	+	1.23433i	0.950084	+	0.311994i	$0.100997\pi$
$131$	6.45185	+	14.1276i	0.563701	+	1.23433i	−0.386383	+	0.922338i	$0.626276\pi$
$132$	−27.7186	−	43.1310i	−2.41259	−	3.75407i
$133$	−4.29166	−	0.617047i	−0.372134	−	0.0535048i
$134$	−14.9514	−	9.60869i	−1.29160	−	0.830064i
$135$	6.09406	−	9.47105i	0.524493	−	0.815139i
$136$	−15.3783	−	4.51548i	−1.31868	−	0.387199i
$137$			10.4860i			0.895881i	0.894063	+	0.447940i	$0.147842\pi$
$137$			10.4860i			0.895881i	−0.894063	+	0.447940i	$0.852158\pi$
$138$	6.98981	+	21.4396i	0.595012	+	1.82506i
$139$	13.5504			1.14933			0.574664	−	0.818389i	$-0.305133\pi$
$139$	13.5504			1.14933			0.574664	+	0.818389i	$0.305133\pi$
$140$	22.6454	+	3.26867i	1.91389	+	0.276253i
$141$	−0.470220	+	0.542663i	−0.0395997	+	0.0457005i
$142$	19.8324	−	30.8598i	1.66430	−	2.58969i
$143$	18.1049	+	2.60309i	1.51401	+	0.217681i
$144$	−1.55762	+	1.00102i	−0.129802	+	0.0834187i
$145$	−3.89597	+	2.50075i	−0.323543	+	0.207676i
$146$	17.8466	+	20.5961i	1.47700	+	1.70454i
$147$	4.86785	−	0.699891i	0.401493	−	0.0577260i
$148$	−2.83432	−	1.29439i	−0.232980	−	0.106398i
$149$	−17.5725	+	5.15974i	−1.43959	+	0.422702i	−0.906086	−	0.423094i	$-0.860944\pi$
$149$	−17.5725	+	5.15974i	−1.43959	+	0.422702i	−0.533506	+	0.845796i	$0.679126\pi$
$150$	19.7921	−	12.6888i	1.61602	−	1.03603i
$151$	−7.26401	+	15.9060i	−0.591137	+	1.29441i	0.343615	+	0.939110i	$0.388348\pi$
$151$	−7.26401	+	15.9060i	−0.591137	+	1.29441i	−0.934753	+	0.355299i	$0.884379\pi$
$152$	−16.3447	+	2.35002i	−1.32573	+	0.190612i
$153$	0.265807	−	0.230323i	0.0214892	−	0.0186205i
$154$	−13.0783	−	28.6375i	−1.05388	−	2.30768i
$155$	2.32746	+	2.68903i	0.186946	+	0.215988i
$156$	3.97813	−	27.6685i	0.318505	−	2.21525i
$157$	0.612997	−	0.953842i	0.0489225	−	0.0761249i	−0.815931	−	0.578150i	$-0.803775\pi$
$157$	0.612997	−	0.953842i	0.0489225	−	0.0761249i	0.864853	+	0.502025i	$0.167411\pi$
$158$	−17.0125	−	14.7414i	−1.35344	−	1.17276i
$159$	−14.0938	−	4.13833i	−1.11771	−	0.328191i
$160$	28.1717	−	4.03462i	2.22717	−	0.318965i
$161$	1.69340	+	9.72744i	0.133459	+	0.766630i
$162$			25.0453i			1.96774i
$163$	−2.18334	+	7.43577i	−0.171012	+	0.582415i	0.828728	+	0.559651i	$0.189065\pi$
$163$	−2.18334	+	7.43577i	−0.171012	+	0.582415i	−0.999741	+	0.0227638i	$0.992753\pi$
$164$	−6.62546	+	7.64619i	−0.517361	+	0.597067i
$165$	−20.9772	−	9.59397i	−1.63308	−	0.746890i
$166$	3.09382	−	21.5180i	0.240127	−	1.67012i
$167$	−5.15274	−	8.01781i	−0.398731	−	0.620437i	0.582601	−	0.812758i	$-0.302035\pi$
$167$	−5.15274	−	8.01781i	−0.398731	−	0.620437i	−0.981332	+	0.192321i	$0.938399\pi$
$168$	−26.1532	+	11.9438i	−2.01776	+	0.921482i
$169$	−1.98257	−	2.28801i	−0.152506	−	0.176001i
$170$	−11.5800	+	3.39327i	−0.888148	+	0.260252i
$171$	0.150530	−	0.329615i	0.0115113	−	0.0252063i
$172$	5.82119	+	19.8251i	0.443861	+	1.51165i
$173$	−3.16279	−	10.7715i	−0.240463	−	0.818941i	−0.987964	−	0.154681i	$-0.950565\pi$
$173$	−3.16279	−	10.7715i	−0.240463	−	0.818941i	0.747502	−	0.664260i	$-0.231253\pi$
$174$	4.04407	−	8.85528i	0.306580	−	0.671317i
$175$	9.36854	−	4.26598i	0.708195	−	0.322478i
$176$	−40.8159	−	47.1041i	−3.07661	−	3.55060i
$177$	−14.5635	+	6.65091i	−1.09466	+	0.499913i
$178$	4.56367	+	7.10121i	0.342062	+	0.532259i
$179$	−0.703686	+	4.89425i	−0.0525960	+	0.365813i	0.946477	+	0.322771i	$0.104614\pi$
$179$	−0.703686	+	4.89425i	−0.0525960	+	0.365813i	−0.999073	+	0.0430426i	$0.986295\pi$
$180$	−0.795313	+	1.73895i	−0.0592792	+	0.129614i
$181$	−5.18515	+	5.98398i	−0.385409	+	0.444786i	−0.914992	−	0.403472i	$-0.867803\pi$
$181$	−5.18515	+	5.98398i	−0.385409	+	0.444786i	0.529583	+	0.848258i	$0.322349\pi$
$182$	4.83586	−	16.4694i	0.358458	−	1.22079i
$183$		−	2.42598i		−	0.179333i
$184$	16.6254	+	33.7292i	1.22564	+	2.48655i
$185$	−1.38773	+	0.198744i	−0.102028	+	0.0146119i
$186$	−7.17552	−	2.10692i	−0.526135	−	0.154487i
$187$	8.94768	+	7.75321i	0.654319	+	0.566971i
$188$	−1.08329	+	1.68563i	−0.0790072	+	0.122938i
$189$	−1.47574	+	10.2640i	−0.107344	+	0.746594i
$190$	−9.40019	+	8.13624i	−0.681962	+	0.590265i
$191$	−5.60445	−	12.2720i	−0.405524	−	0.887973i	−0.996680	−	0.0814161i	$-0.974056\pi$
$191$	−5.60445	−	12.2720i	−0.405524	−	0.887973i	0.591157	−	0.806557i	$-0.298672\pi$
$192$	−16.2591	+	14.0886i	−1.17340	+	1.01676i
$193$	−5.46991	+	0.786454i	−0.393733	+	0.0566102i	−0.336338	−	0.941741i	$-0.609188\pi$
$193$	−5.46991	+	0.786454i	−0.393733	+	0.0566102i	−0.0573948	+	0.998352i	$0.518279\pi$
$194$	10.9834	−	24.0504i	0.788565	−	1.72672i
$195$	−5.21814	−	11.4428i	−0.373679	−	0.819439i
$196$	13.1676	−	3.86635i	0.940542	−	0.276168i
$197$	17.6868	+	8.07729i	1.26013	+	0.575483i	0.929690	−	0.368344i	$-0.120075\pi$
$197$	17.6868	+	8.07729i	1.26013	+	0.575483i	0.330442	+	0.943826i	$0.392802\pi$
$198$	2.60436	−	0.374450i	0.185084	−	0.0266110i
$199$	7.00184	+	8.08056i	0.496347	+	0.572815i	0.947551	−	0.319606i	$-0.103550\pi$
$199$	7.00184	+	8.08056i	0.496347	+	0.572815i	−0.451203	+	0.892421i	$0.649005\pi$
$200$	29.6574	−	25.6411i	2.09710	−	1.81310i
$201$	10.0864	−	6.48215i	0.711441	−	0.457216i
$202$	48.9599	+	7.03937i	3.44481	+	0.495288i
$203$	2.30450	−	3.58587i	0.161744	−	0.251679i
$204$	11.8487	−	13.6742i	0.829577	−	0.957383i
$205$	−0.650294	+	4.50525i	−0.0454185	+	0.314660i
$206$	34.5306			2.40586
$207$	−0.819907	−	0.0932464i	−0.0569875	−	0.00648107i
$208$		−	33.9819i		−	2.35622i
$209$	11.7038	+	3.43656i	0.809571	+	0.237712i
$210$	−11.7131	+	18.2038i	−0.808280	+	1.25618i
$211$	10.5813	+	6.80021i	0.728449	+	0.468146i	0.851567	−	0.524246i	$-0.175653\pi$
$211$	10.5813	+	6.80021i	0.728449	+	0.468146i	−0.123118	+	0.992392i	$0.539289\pi$
$212$	−40.5722	−	5.83341i	−2.78651	−	0.400640i
$213$	13.3792	+	20.8184i	0.916726	+	1.42645i
$214$	2.47016	+	5.40890i	0.168857	+	0.369745i
$215$	7.02222	+	6.09157i	0.478911	+	0.415442i
$216$	5.62032	+	39.0902i	0.382414	+	2.65975i
$217$	−2.97857	−	1.36027i	−0.202199	−	0.0923411i
$218$	4.48927	+	15.2891i	0.304052	+	1.03551i
$219$	−17.6402	+	5.17963i	−1.19201	+	0.350007i
$220$	−61.7515	−	18.1689i	−4.16329	−	1.22495i
$221$	0.918649	+	6.38934i	0.0617950	+	0.429794i
$222$	2.22788	−	1.93047i	0.149526	−	0.129565i
$223$	4.55894	−	2.08200i	0.305289	−	0.139421i	−0.256880	−	0.966443i	$-0.582694\pi$
$223$	4.55894	−	2.08200i	0.305289	−	0.139421i	0.562169	+	0.827022i	$0.309967\pi$
$224$	−22.0436	+	14.1665i	−1.47285	+	0.946542i
$225$	0.121497	+	0.851701i	0.00809980	+	0.0567800i
$226$	−11.8194	−	7.59586i	−0.786214	−	0.505269i
$227$	10.5661	+	9.15555i	0.701294	+	0.607675i	0.930755	−	0.365643i	$-0.119151\pi$
$227$	10.5661	+	9.15555i	0.701294	+	0.607675i	−0.229461	+	0.973318i	$0.573696\pi$
$228$	5.25187	−	17.8862i	0.347813	−	1.18454i
$229$	−11.7736			−0.778020			−0.389010	−	0.921234i	$-0.627183\pi$
$229$	−11.7736			−0.778020			−0.389010	+	0.921234i	$0.627183\pi$
$230$	24.2512	+	14.6092i	1.59907	+	0.963304i
$231$	21.2385			1.39739
$232$	4.57359	−	15.5762i	0.300271	−	1.02263i
$233$	−3.75185	−	3.25100i	−0.245792	−	0.212980i	0.523248	−	0.852180i	$-0.324720\pi$
$233$	−3.75185	−	3.25100i	−0.245792	−	0.212980i	−0.769040	+	0.639200i	$0.779265\pi$
$234$	1.20680	+	0.775566i	0.0788913	+	0.0507004i
$235$	−0.000497369		0.901501i	−3.24448e−5		0.0588075i
$236$	−37.5846	+	24.1542i	−2.44655	+	1.57230i
$237$	13.8137	−	6.30851i	0.897297	−	0.409782i
$238$	8.39669	−	7.27578i	0.544277	−	0.471619i
$239$	−2.02431	−	14.0794i	−0.130942	−	0.910719i	−0.944330	−	0.328999i	$-0.893289\pi$
$239$	−2.02431	−	14.0794i	−0.130942	−	0.910719i	0.813389	−	0.581721i	$-0.197620\pi$
$240$	−12.0963	+	41.1123i	−0.780813	+	2.65379i
$241$	3.60661	−	1.05900i	0.232322	−	0.0682160i	−0.163499	−	0.986543i	$-0.552278\pi$
$241$	3.60661	−	1.05900i	0.232322	−	0.0682160i	0.395822	+	0.918327i	$0.370460\pi$
$242$	16.7714	+	57.1181i	1.07811	+	3.67169i
$243$	−1.62459	−	0.741924i	−0.104217	−	0.0475945i
$244$	−0.963432	−	6.70082i	−0.0616774	−	0.428976i
$245$	4.04594	−	4.66406i	0.258486	−	0.297976i
$246$	−3.97632	−	8.70692i	−0.253521	−	0.555133i
$247$	3.59552	+	5.59474i	0.228778	+	0.355985i
$248$	−12.3439	−	1.77478i	−0.783838	−	0.112699i
$249$	12.3375	+	7.92883i	0.781857	+	0.502469i
$250$	8.36274	−	28.3075i	0.528906	−	1.79032i
$251$	−16.9265	−	4.97006i	−1.06839	−	0.313708i	−0.300165	−	0.953887i	$-0.597042\pi$
$251$	−16.9265	−	4.97006i	−1.06839	−	0.313708i	−0.768225	+	0.640180i	$0.778860\pi$
$252$		−	1.76062i		−	0.110908i
$253$	−0.820947	−	27.7658i	−0.0516125	−	1.74562i
$254$	22.8983			1.43677
$255$	1.16296	−	8.05703i	0.0728276	−	0.504551i
$256$	4.69358	−	5.41668i	0.293349	−	0.338542i
$257$	3.33079	−	5.18281i	0.207769	−	0.323295i	−0.721693	−	0.692214i	$-0.756636\pi$
$257$	3.33079	−	5.18281i	0.207769	−	0.323295i	0.929462	+	0.368919i	$0.120272\pi$
$258$	−19.3492	−	2.78200i	−1.20463	−	0.173199i
$259$	1.08586	−	0.697838i	0.0674718	−	0.0433615i
$260$	−18.9574	−	29.5341i	−1.17569	−	1.83163i
$261$	0.233287	+	0.269227i	0.0144401	+	0.0166647i
$262$	−40.5859	+	5.83537i	−2.50740	+	0.360510i
$263$	−18.6921	−	8.53638i	−1.15260	−	0.526376i	−0.254895	−	0.966969i	$-0.582041\pi$
$263$	−18.6921	−	8.53638i	−1.15260	−	0.526376i	−0.897707	+	0.440593i	$0.854768\pi$
$264$	77.6103	−	22.7884i	4.77658	−	1.40253i
$265$	−16.7794	+	7.65172i	−1.03075	+	0.470041i
$266$	4.75517	−	10.4124i	0.291558	−	0.638424i
$267$	−5.63661	+	0.810422i	−0.344955	+	0.0495970i
$268$	25.2855	−	21.9100i	1.54456	−	1.33837i
$269$	−6.21519	−	13.6094i	−0.378947	−	0.829777i	−0.998978	−	0.0452002i	$-0.985607\pi$
$269$	−6.21519	−	13.6094i	−0.378947	−	0.829777i	0.620031	−	0.784577i	$-0.287120\pi$
$270$	19.4587	+	22.4816i	1.18422	+	1.36819i
$271$	−2.11531	+	14.7123i	−0.128496	+	0.893710i	0.818966	+	0.573842i	$0.194548\pi$
$271$	−2.11531	+	14.7123i	−0.128496	+	0.893710i	−0.947462	+	0.319868i	$0.896361\pi$
$272$	11.8919	−	18.5041i	0.721050	−	1.12198i
$273$	8.75124	+	7.58299i	0.529649	+	0.458943i
$274$	−26.5625	−	7.79944i	−1.60470	−	0.471181i
$275$	−27.7964	+	8.12845i	−1.67618	+	0.490164i
$276$	−42.4327	+	1.25460i	−2.55415	+	0.0755181i
$277$		−	9.98105i		−	0.599703i	−0.953986	−	0.299852i	$-0.903063\pi$
$277$		−	9.98105i		−	0.599703i	0.953986	−	0.299852i	$-0.0969372\pi$
$278$	−10.0787	+	34.3249i	−0.604481	+	2.05867i
$279$	0.179211	−	0.206821i	0.0107291	−	0.0123820i
$280$	−15.0134	+	32.8269i	−0.897224	+	1.96178i
$281$	−3.63986	+	25.3158i	−0.217136	+	1.51021i	0.531402	+	0.847120i	$0.321665\pi$
$281$	−3.63986	+	25.3158i	−0.217136	+	1.51021i	−0.748538	+	0.663092i	$0.769244\pi$
$282$	−1.02489	−	1.59476i	−0.0610313	−	0.0949666i
$283$	−6.36619	+	2.90734i	−0.378431	+	0.172824i	−0.595544	−	0.803323i	$-0.703063\pi$
$283$	−6.36619	+	2.90734i	−0.378431	+	0.172824i	0.217113	+	0.976147i	$0.430336\pi$
$284$	45.2224	+	52.1895i	2.68346	+	3.09688i
$285$	−2.35845	−	8.04856i	−0.139702	−	0.476756i
$286$	−20.0603	+	43.9259i	−1.18619	+	2.59739i
$287$	−1.18077	−	4.02134i	−0.0696988	−	0.237372i
$288$	−0.616972	−	2.10121i	−0.0363554	−	0.123815i
$289$	5.32635	−	11.6631i	0.313315	−	0.686064i
$290$	−3.43693	−	11.7290i	−0.201824	−	0.688753i
$291$	11.6805	+	13.4800i	0.684721	+	0.790210i
$292$	−46.6672	+	21.3122i	−2.73099	+	1.24720i
$293$	5.62093	+	8.74634i	0.328378	+	0.510966i	0.965710	−	0.259623i	$-0.0835983\pi$
$293$	5.62093	+	8.74634i	0.328378	+	0.510966i	−0.637332	+	0.770589i	$0.719962\pi$
$294$	−1.84776	+	12.8515i	−0.107764	+	0.749513i
$295$	−8.36025	+	18.2797i	−0.486753	+	1.06429i
$296$	3.21919	−	3.71515i	0.187112	−	0.215939i
$297$	8.21890	−	27.9910i	0.476909	−	1.62420i
$298$		−	48.3512i		−	2.80091i
$299$	9.57520	−	11.7339i	0.553748	−	0.678587i
$300$	12.4222	+	42.4794i	0.717195	+	2.45255i
$301$	−8.21257	−	2.41143i	−0.473364	−	0.138992i
$302$	−34.8890	−	30.2315i	−2.00764	−	1.73963i
$303$	−18.0405	+	28.0715i	−1.03640	+	1.61267i
$304$	3.22511	−	22.4312i	0.184973	−	1.28652i
$305$	−1.99330	−	2.30296i	−0.114136	−	0.131867i
$306$	0.385733	+	0.844637i	0.0220509	+	0.0482847i
$307$	−1.97633	+	1.71250i	−0.112795	+	0.0977376i	−0.709432	−	0.704773i	$-0.751049\pi$
$307$	−1.97633	+	1.71250i	−0.112795	+	0.0977376i	0.596637	+	0.802511i	$0.296503\pi$
$308$	58.6632	−	8.43450i	3.34265	−	0.480600i
$309$	−9.67700	+	21.1897i	−0.550505	+	1.20544i
$310$	−8.54281	+	3.89568i	−0.485199	+	0.221260i
$311$	25.6899	−	7.54323i	1.45674	−	0.427737i	0.544975	−	0.838452i	$-0.316539\pi$
$311$	25.6899	−	7.54323i	1.45674	−	0.427737i	0.911764	+	0.410715i	$0.134721\pi$
$312$	40.1153	+	18.3200i	2.27108	+	1.03717i
$313$	16.4725	−	2.36838i	0.931079	−	0.133869i	0.339948	−	0.940444i	$-0.389591\pi$
$313$	16.4725	−	2.36838i	0.931079	−	0.133869i	0.591131	+	0.806575i	$0.298682\pi$
$314$	1.96026	+	2.26227i	0.110624	+	0.127667i
$315$	−0.427888	−	0.666615i	−0.0241088	−	0.0375595i
$316$	35.6497	−	22.9107i	2.00545	−	1.28883i
$317$	−25.9491	−	3.73091i	−1.45744	−	0.209549i	−0.632411	−	0.774633i	$-0.717935\pi$
$317$	−25.9491	−	3.73091i	−1.45744	−	0.209549i	−0.825033	+	0.565084i	$0.808844\pi$
$318$	20.9659	−	32.6235i	1.17571	−	1.82944i
$319$	−7.85298	+	9.06282i	−0.439682	+	0.507421i
$320$	−3.85875	+	26.7335i	−0.215711	+	1.49445i
$321$	−4.01142			−0.223896
$322$	−25.9004	−	2.94560i	−1.44337	−	0.164152i
$323$			4.30474i			0.239522i
$324$	−45.2384	−	13.2832i	−2.51324	−	0.737955i
$325$	−14.3555	−	6.57510i	−0.796302	−	0.364721i
$326$	−17.2118	−	11.0614i	−0.953275	−	0.612633i
$327$	−10.6402	−	1.52983i	−0.588406	−	0.0846000i
$328$	−8.62961	−	13.4279i	−0.476490	−	0.741433i
$329$	−0.344811	−	0.755031i	−0.0190101	−	0.0416262i
$330$	39.9055	−	46.0021i	2.19673	−	2.53234i
$331$	−1.00431	−	6.98511i	−0.0552017	−	0.383936i	−0.998629	−	0.0523554i	$-0.983327\pi$
$331$	−1.00431	−	6.98511i	−0.0552017	−	0.383936i	0.943427	−	0.331581i	$-0.107582\pi$
$332$	37.2263	+	17.0007i	2.04306	+	0.933034i
$333$	0.0303918	+	0.103505i	0.00166546	+	0.00567204i
$334$	24.1428	−	7.08895i	1.32103	−	0.387890i
$335$	4.24890	−	14.4409i	0.232142	−	0.788993i
$336$	−5.61544	−	39.0562i	−0.306347	−	2.13069i
$337$	−12.3520	+	10.7031i	−0.672857	+	0.583034i	−0.922825	−	0.385220i	$-0.874126\pi$
$337$	−12.3520	+	10.7031i	−0.672857	+	0.583034i	0.249967	+	0.968254i	$0.419580\pi$
$338$	7.27046	−	3.32031i	0.395461	−	0.180601i
$339$	7.97352	−	5.12427i	0.433062	−	0.278312i
$340$	0.0125328	−	22.7163i	0.000679688	−	1.23196i
$341$	7.74975	+	4.98046i	0.419672	+	0.269707i
$342$	0.722996	+	0.626479i	0.0390951	+	0.0338761i
$343$	−5.66189	+	19.2826i	−0.305713	+	1.04116i
$344$	−32.5979			−1.75756
$345$	−15.7612	+	10.7876i	−0.848555	+	0.580783i
$346$	29.6381			1.59335
$347$	5.89187	−	20.0659i	0.316292	−	1.07719i	−0.635920	−	0.771755i	$-0.719379\pi$
$347$	5.89187	−	20.0659i	0.316292	−	1.07719i	0.952212	−	0.305437i	$-0.0988026\pi$
$348$	13.8501	+	12.0012i	0.742445	+	0.643332i
$349$	−20.8831	−	13.4207i	−1.11785	−	0.718396i	−0.154857	−	0.987937i	$-0.549492\pi$
$349$	−20.8831	−	13.4207i	−1.11785	−	0.718396i	−0.962989	+	0.269541i	$0.913128\pi$
$350$	3.83803	+	26.9048i	0.205151	+	1.43812i
$351$	13.3804	−	8.59908i	0.714194	−	0.458985i
$352$	67.0562	−	30.6235i	3.57411	−	1.63224i
$353$	9.33634	−	8.08999i	0.496923	−	0.430587i	−0.369997	−	0.929033i	$-0.620641\pi$
$353$	9.33634	−	8.08999i	0.496923	−	0.430587i	0.866921	+	0.498446i	$0.166096\pi$
$354$	−6.01541	−	41.8381i	−0.319715	−	2.22367i
$355$	29.8062	+	8.76974i	1.58195	+	0.465450i
$356$	−15.2471	+	4.47695i	−0.808094	+	0.237278i
$357$	2.11165	+	7.19163i	0.111760	+	0.380621i
$358$	−11.8744	−	5.42284i	−0.627580	−	0.286606i
$359$	−1.64830	−	11.4642i	−0.0869940	−	0.605057i	−0.985953	−	0.167024i	$-0.946584\pi$
$359$	−1.64830	−	11.4642i	−0.0869940	−	0.605057i	0.898959	−	0.438033i	$-0.144325\pi$
$360$	−2.27886	−	1.97684i	−0.120106	−	0.104189i
$361$	−6.05049	−	13.2487i	−0.318447	−	0.697301i
$362$	−11.3015	−	17.5855i	−0.593995	−	0.924275i
$363$	−39.7506	−	5.71527i	−2.08637	−	0.299974i
$364$	27.1833	+	17.4697i	1.42479	+	0.915659i
$365$	−12.4898	+	19.4110i	−0.653749	+	1.01602i
$366$	6.14532	+	1.80443i	0.321221	+	0.0943190i
$367$			8.34483i			0.435596i	0.975994	+	0.217798i	$0.0698875\pi$
$367$			8.34483i			0.435596i	−0.975994	+	0.217798i	$0.930113\pi$
$368$	−50.8423	+	8.85089i	−2.65034	+	0.461385i
$369$	0.350270			0.0182343
$370$	0.528740	−	3.66312i	0.0274879	−	0.190437i
$371$	11.1195	−	12.8325i	0.577293	−	0.666232i
$372$	7.61132	−	11.8434i	0.394629	−	0.614054i
$373$	27.1960	+	3.91020i	1.40816	+	0.202462i	0.804107	−	0.594485i	$-0.202644\pi$
$373$	27.1960	+	3.91020i	1.40816	+	0.202462i	0.604049	+	0.796947i	$0.293553\pi$
$374$	−26.2951	+	16.8989i	−1.35969	+	0.873819i
$375$	15.0273	+	13.0648i	0.776005	+	0.674664i
$376$	−2.07015	−	2.38908i	−0.106760	−	0.123207i
$377$	−6.47156	+	0.930470i	−0.333302	+	0.0479217i
$378$	−24.9023	−	11.3725i	−1.28084	−	0.584939i
$379$	9.48787	−	2.78589i	0.487359	−	0.143102i	−0.0288157	−	0.999585i	$-0.509174\pi$
$379$	9.48787	−	2.78589i	0.487359	−	0.143102i	0.516175	+	0.856483i	$0.327355\pi$
$380$	−9.71064	−	21.2944i	−0.498145	−	1.09238i
$381$	−6.41713	+	14.0516i	−0.328760	+	0.719883i
$382$	35.2552	−	5.06894i	1.80381	−	0.259349i
$383$	−8.50071	+	7.36591i	−0.434366	+	0.376380i	−0.844421	−	0.535681i	$-0.820055\pi$
$383$	−8.50071	+	7.36591i	−0.434366	+	0.376380i	0.410055	+	0.912061i	$0.365510\pi$
$384$	−4.76182	−	10.4269i	−0.243001	−	0.532097i
$385$	20.1616	−	17.4506i	1.02753	−	0.889366i
$386$	2.07630	−	14.4410i	0.105681	−	0.735026i
$387$	0.386740	−	0.601780i	0.0196591	−	0.0305902i
$388$	37.6161	+	32.5945i	1.90967	+	1.65473i
$389$	7.81767	+	2.29548i	0.396372	+	0.116385i	0.473843	−	0.880609i	$-0.342866\pi$
$389$	7.81767	+	2.29548i	0.396372	+	0.116385i	−0.0774712	+	0.996995i	$0.524685\pi$
$390$	32.8674	−	4.70712i	1.66431	−	0.238354i
$391$	9.32021	−	3.03861i	0.471343	−	0.153669i
$392$			21.6511i			1.09355i
$393$	7.79310	−	26.5409i	0.393110	−	1.33881i
$394$	−33.6162	+	38.7951i	−1.69356	+	1.95447i
$395$	7.92985	−	17.3386i	0.398994	−	0.872401i
$396$	−0.704909	+	4.90275i	−0.0354230	+	0.246372i
$397$	7.26030	+	11.2972i	0.364384	+	0.566992i	0.974238	−	0.225521i	$-0.0724084\pi$
$397$	7.26030	+	11.2972i	0.364384	+	0.566992i	−0.609854	+	0.792514i	$0.708772\pi$
$398$	−25.6770	+	11.7263i	−1.28707	+	0.587787i
$399$	5.05694	+	5.83602i	0.253164	+	0.292167i
$400$	22.2970	+	48.9665i	1.11485	+	2.44832i
$401$	−5.88901	+	12.8951i	−0.294083	+	0.643952i	−0.997783	−	0.0665450i	$-0.978802\pi$
$401$	−5.88901	+	12.8951i	−0.294083	+	0.643952i	0.703701	+	0.710497i	$0.251530\pi$
$402$	8.91791	+	30.3716i	0.444785	+	1.51480i
$403$	1.41503	+	4.81914i	0.0704875	+	0.240058i
$404$	−38.6817	+	84.7010i	−1.92448	+	4.21403i
$405$	−20.3567	+	5.96507i	−1.01153	+	0.296406i
$406$	7.36940	+	8.50474i	0.365737	+	0.422083i
$407$	−3.30316	+	1.50850i	−0.163731	+	0.0747737i
$408$	15.4329	+	24.0140i	0.764041	+	1.18887i
$409$	−2.61692	+	18.2011i	−0.129398	+	0.899985i	0.816921	+	0.576750i	$0.195679\pi$
$409$	−2.61692	+	18.2011i	−0.129398	+	0.899985i	−0.946319	+	0.323235i	$0.895230\pi$
$410$	−10.9287	−	4.99826i	−0.539730	−	0.246847i
$411$	12.2301	−	14.1143i	0.603267	−	0.696207i
$412$	−18.3139	+	62.3713i	−0.902259	+	3.07281i
$413$		−	18.5074i		−	0.910690i
$414$	0.846048	−	2.00758i	0.0415810	−	0.0986671i
$415$	18.2266	−	2.61032i	0.894708	−	0.128136i
$416$	38.5640	+	11.3234i	1.89075	+	0.555175i
$417$	−18.2390	−	15.8042i	−0.893167	−	0.773933i
$418$	−17.4105	+	27.0913i	−0.851575	+	1.32508i
$419$	4.24524	−	29.5263i	0.207394	−	1.44245i	−0.574225	−	0.818698i	$-0.694697\pi$
$419$	4.24524	−	29.5263i	0.207394	−	1.44245i	0.781619	−	0.623757i	$-0.214394\pi$
$420$	−26.6687	−	30.8116i	−1.30130	−	1.50345i
$421$	−14.0057	−	30.6682i	−0.682595	−	1.49468i	−0.859869	−	0.510514i	$-0.829455\pi$
$421$	−14.0057	−	30.6682i	−0.682595	−	1.49468i	0.177274	−	0.984162i	$-0.443272\pi$
$422$	−25.0962	+	21.7460i	−1.22166	+	1.05858i
$423$	0.0686641	−	0.00987241i	0.00333856	−	0.000480013i
$424$	26.8639	−	58.8238i	1.30463	−	2.85674i
$425$	−5.51606	−	8.60401i	−0.267568	−	0.417356i
$426$	−62.6871	+	18.4066i	−3.03720	+	0.891803i
$427$	2.55093	+	1.16497i	0.123448	+	0.0563770i
$428$	−11.0800	+	1.59306i	−0.535572	+	0.0770036i
$429$	−21.3333	−	24.6200i	−1.02998	−	1.18866i
$430$	−20.6539	+	13.2573i	−0.996017	+	0.639325i
$431$	−17.0992	+	10.9890i	−0.823639	+	0.529321i	−0.883251	−	0.468901i	$-0.844650\pi$
$431$	−17.0992	+	10.9890i	−0.823639	+	0.529321i	0.0596115	+	0.998222i	$0.481014\pi$
$432$	−53.6465	−	7.71321i	−2.58107	−	0.371102i
$433$	−19.5882	+	30.4798i	−0.941346	+	1.46476i	−0.0567597	+	0.998388i	$0.518077\pi$
$433$	−19.5882	+	30.4798i	−0.941346	+	1.46476i	−0.884587	+	0.466376i	$0.845559\pi$
$434$	5.66119	−	6.53336i	0.271746	−	0.313611i
$435$	8.16071	+	1.17793i	0.391276	+	0.0564774i
$436$	−29.9970			−1.43660
$437$	7.43414	−	6.83668i	0.355623	−	0.327043i
$438$		−	48.5375i		−	2.31921i
$439$	2.29415	+	0.673622i	0.109494	+	0.0321502i	0.336020	−	0.941855i	$-0.390919\pi$
$439$	2.29415	+	0.673622i	0.109494	+	0.0321502i	−0.226527	+	0.974005i	$0.572737\pi$
$440$	54.9507	−	85.4013i	2.61967	−	4.07135i
$441$	−0.399694	−	0.256868i	−0.0190330	−	0.0122318i
$442$	−16.8683	−	2.42530i	−0.802345	−	0.115360i
$443$	5.56770	+	8.66351i	0.264529	+	0.411616i	0.947955	−	0.318405i	$-0.103147\pi$
$443$	5.56770	+	8.66351i	0.264529	+	0.411616i	−0.683426	+	0.730020i	$0.739511\pi$
$444$	2.30535	+	5.04800i	0.109407	+	0.239568i
$445$	−4.68490	+	5.40064i	−0.222085	+	0.256015i
$446$	1.88306	+	13.0970i	0.0891656	+	0.620160i
$447$	29.6707	+	13.5501i	1.40338	+	0.640900i
$448$	−7.00653	−	23.8621i	−0.331027	−	1.12738i
$449$	30.8344	−	9.05378i	1.45516	−	0.427275i	0.543918	−	0.839138i	$-0.316940\pi$
$449$	30.8344	−	9.05378i	1.45516	−	0.427275i	0.911245	+	0.411864i	$0.135122\pi$
$450$	−2.24784	−	0.325722i	−0.105964	−	0.0153547i
$451$	1.67802	+	11.6709i	0.0790150	+	0.549561i
$452$	19.9887	−	17.3203i	0.940191	−	0.814680i
$453$	28.3290	−	12.9374i	1.33101	−	0.607853i
$454$	−31.0512	+	19.9554i	−1.45730	+	0.936553i
$455$	14.5380	+	0.00802080i	0.681553	+	0.000376021i
$456$	24.7411	+	15.9001i	1.15861	+	0.744592i
$457$	10.1182	+	8.76749i	0.473310	+	0.410126i	0.858581	−	0.512678i	$-0.171346\pi$
$457$	10.1182	+	8.76749i	0.473310	+	0.410126i	−0.385271	+	0.922804i	$0.625892\pi$
$458$	8.75712	−	29.8240i	0.409194	−	1.39359i
$459$	10.2953			0.480541
$460$	−39.2501	+	36.0557i	−1.83005	+	1.68111i
$461$	−30.5197			−1.42144			−0.710721	−	0.703474i	$-0.751631\pi$
$461$	−30.5197			−1.42144			−0.710721	+	0.703474i	$0.751631\pi$
$462$	−15.7971	+	53.8000i	−0.734948	+	2.50300i
$463$	−15.8135	−	13.7024i	−0.734914	−	0.636807i	0.204786	−	0.978807i	$-0.434350\pi$
$463$	−15.8135	−	13.7024i	−0.734914	−	0.636807i	−0.939700	+	0.342000i	$0.888896\pi$
$464$	18.7422	+	12.0449i	0.870086	+	0.559170i
$465$	0.00349457	−	6.33404i	0.000162057	−	0.293734i
$466$	11.0258	−	7.08586i	0.510761	−	0.328246i
$467$	29.8259	−	13.6210i	1.38018	−	0.630307i	0.419446	−	0.907780i	$-0.362224\pi$
$467$	29.8259	−	13.6210i	1.38018	−	0.630307i	0.960733	+	0.277474i	$0.0894971\pi$
$468$	−2.04093	+	1.76847i	−0.0943419	+	0.0817477i
$469$	1.97246	+	13.7187i	0.0910795	+	0.633472i
$470$	−2.28325	−	0.671792i	−0.105319	−	0.0309874i
$471$	−1.93759	+	0.568929i	−0.0892796	+	0.0262148i
$472$	−19.8580	−	67.6302i	−0.914039	−	3.11293i
$473$	21.9039	+	10.0032i	1.00714	+	0.459946i
$474$	5.70572	+	39.6842i	0.262073	+	1.82275i
$475$	−8.85195	−	5.70261i	−0.406155	−	0.261654i
$476$	8.68864	+	19.0255i	0.398243	+	0.872031i
$477$	0.767215	+	1.19381i	0.0351284	+	0.0546608i
$478$	37.1706	+	5.34433i	1.70014	+	0.244444i
$479$	−27.9627	−	17.9705i	−1.27765	−	0.821093i	−0.287051	−	0.957915i	$-0.592675\pi$
$479$	−27.9627	−	17.9705i	−1.27765	−	0.821093i	−0.990596	+	0.136822i	$0.956311\pi$
$480$	−42.6252	−	27.4268i	−1.94556	−	1.25185i
$481$	−1.89964	−	0.557786i	−0.0866163	−	0.0254328i
$482$			9.92371i			0.452012i
$483$	9.06603	−	15.0683i	0.412519	−	0.685632i
$484$	−112.065			−5.09388
$485$	22.1640	+	3.19918i	1.00641	+	0.145267i
$486$	3.08775	−	3.56345i	0.140063	−	0.161642i
$487$	11.4573	−	17.8279i	0.519180	−	0.807860i	−0.478345	−	0.878172i	$-0.658763\pi$
$487$	11.4573	−	17.8279i	0.519180	−	0.807860i	0.997525	+	0.0703122i	$0.0223996\pi$
$488$	10.5717	+	1.51998i	0.478557	+	0.0688060i
$489$	11.6113	−	7.46215i	0.525083	−	0.337450i
$490$	8.80534	+	13.7180i	0.397785	+	0.619716i
$491$	−10.2856	−	11.8702i	−0.464182	−	0.535695i	0.474602	−	0.880200i	$-0.342592\pi$
$491$	−10.2856	−	11.8702i	−0.464182	−	0.535695i	−0.938784	+	0.344506i	$0.888047\pi$
$492$	17.8359	−	2.56441i	0.804104	−	0.115613i
$493$	−3.84957	−	1.75804i	−0.173376	−	0.0791781i
$494$	−16.8465	+	4.94659i	−0.757962	+	0.222558i
$495$	0.924633	+	2.02762i	0.0415592	+	0.0911349i
$496$	7.10970	−	15.5681i	0.319235	−	0.699027i
$497$	−28.3155	+	4.07116i	−1.27012	+	0.182616i
$498$	−29.2613	+	25.3551i	−1.31123	+	1.13619i
$499$	17.0012	+	37.2275i	0.761080	+	1.66653i	0.745366	+	0.666656i	$0.232275\pi$
$499$	17.0012	+	37.2275i	0.761080	+	1.66653i	0.0157140	+	0.999877i	$0.494998\pi$
$500$	46.6954	+	30.1187i	2.08828	+	1.34695i
$501$	−2.41574	+	16.8018i	−0.107927	+	0.750651i
$502$	25.1797	−	39.1803i	1.12382	−	1.74870i
$503$	−19.8964	−	17.2403i	−0.887135	−	0.768707i	0.0866353	−	0.996240i	$-0.472389\pi$
$503$	−19.8964	−	17.2403i	−0.887135	−	0.768707i	−0.973770	+	0.227533i	$0.926934\pi$
$504$	2.66515	+	0.782559i	0.118715	+	0.0348579i
$505$	5.93927	+	41.4709i	0.264294	+	1.84543i
$506$	70.9450	+	18.5725i	3.15389	+	0.825648i
$507$			5.39201i			0.239468i
$508$	−12.1445	+	41.3604i	−0.538826	+	1.83507i
$509$	4.83472	−	5.57956i	0.214295	−	0.247310i	−0.638417	−	0.769690i	$-0.720411\pi$
$509$	4.83472	−	5.57956i	0.214295	−	0.247310i	0.852712	+	0.522381i	$0.174956\pi$
$510$	19.5445	+	8.93871i	0.865446	+	0.395813i
$511$	3.02454	−	21.0361i	0.133798	−	0.930583i
$512$	17.1893	+	26.7471i	0.759667	+	1.18206i
$513$	9.64843	−	4.40629i	0.425989	−	0.194542i
$514$	10.6513	+	12.2923i	0.469809	+	0.542189i
$515$	8.22418	+	28.0663i	0.362401	+	1.23675i
$516$	15.2872	−	33.4743i	0.672981	−	1.47362i
$517$	0.657892	+	2.24057i	0.0289340	+	0.0985403i
$518$	0.960060	+	3.26967i	0.0421826	+	0.143661i
$519$	−8.30590	+	18.1874i	−0.364589	+	0.798338i
$520$	53.1337	−	15.5696i	2.33007	−	0.682774i
$521$	19.9029	+	22.9691i	0.871960	+	1.00630i	0.999895	+	0.0145129i	$0.00461977\pi$
$521$	19.9029	+	22.9691i	0.871960	+	1.00630i	−0.127935	+	0.991783i	$0.540835\pi$
$522$	−0.855506	+	0.390696i	−0.0374445	+	0.0171003i
$523$	−3.16834	−	4.93004i	−0.138542	−	0.215576i	0.765049	−	0.643972i	$-0.222715\pi$
$523$	−3.16834	−	4.93004i	−0.138542	−	0.215576i	−0.903591	+	0.428397i	$0.859079\pi$
$524$	10.9852	−	76.4037i	0.479890	−	3.33771i
$525$	−17.5857	−	5.18471i	−0.767503	−	0.226279i
$526$	35.5268	−	41.0001i	1.54904	−	1.78769i
$527$	−0.915922	+	3.11934i	−0.0398982	+	0.135881i
$528$			111.007i			4.83097i
$529$	−20.0497	−	11.2698i	−0.871726	−	0.489993i
$530$	−6.90237	−	48.1958i	−0.299820	−	2.09349i
$531$	1.48409	+	0.435769i	0.0644042	+	0.0189108i
$532$	16.2855	+	14.1115i	0.706066	+	0.611810i
$533$	−3.47555	+	5.40806i	−0.150543	+	0.234249i
$534$	2.13957	−	14.8811i	0.0925883	−	0.643966i
$535$	−3.80801	+	3.29598i	−0.164634	+	0.142498i
$536$	21.9276	+	48.0148i	0.947130	+	2.07392i
$537$	6.65546	−	5.76699i	0.287204	−	0.248864i
$538$	39.0971	−	5.62132i	1.68560	−	0.242352i
$539$	6.64396	−	14.5483i	0.286176	−	0.626638i
$540$	−50.9279	+	23.2240i	−2.19159	+	0.999404i
$541$	−4.01909	+	1.18011i	−0.172794	+	0.0507369i	−0.366985	−	0.930227i	$-0.619610\pi$
$541$	−4.01909	+	1.18011i	−0.172794	+	0.0507369i	0.194191	+	0.980964i	$0.437792\pi$
$542$	−35.6949	−	16.3013i	−1.53323	−	0.700201i
$543$	13.9586	−	2.00694i	0.599019	−	0.0861259i
$544$	17.0366	+	19.6613i	0.730438	+	0.842970i
$545$	−11.3577	+	7.29027i	−0.486509	+	0.312281i
$546$	−25.7178	+	16.5278i	−1.10062	+	0.707327i
$547$	19.7158	+	2.83470i	0.842986	+	0.121203i	0.550260	−	0.834993i	$-0.314529\pi$
$547$	19.7158	+	2.83470i	0.842986	+	0.121203i	0.292726	+	0.956196i	$0.405438\pi$
$548$	28.1757	−	43.8422i	1.20361	−	1.87285i
$549$	−0.153482	+	0.177127i	−0.00655043	+	0.00755960i
$550$	0.0843654	−	76.4578i	0.00359735	−	3.26017i
$551$	−4.36014			−0.185748
$552$	16.9613	−	64.7905i	0.721922	−	2.75767i
$553$			17.5546i			0.746498i
$554$	25.2833	+	7.42385i	1.07419	+	0.315409i
$555$	2.09970	+	1.35103i	0.0891272	+	0.0573481i
$556$	−56.6544	−	36.4096i	−2.40268	−	1.54411i
$557$	44.6156	+	6.41476i	1.89042	+	0.271802i	0.987455	−	0.157903i	$-0.0504734\pi$
$557$	44.6156	+	6.41476i	1.89042	+	0.271802i	0.902969	+	0.429705i	$0.141383\pi$
$558$	0.390608	+	0.607798i	0.0165358	+	0.0257301i
$559$	5.45386	+	11.9423i	0.230674	+	0.505105i
$560$	−37.4212	−	32.4618i	−1.58133	−	1.37176i
$561$	−3.00092	−	20.8718i	−0.126699	−	0.881209i
$562$	−61.4209	−	28.0500i	−2.59088	−	1.18322i
$563$	5.30049	+	18.0518i	0.223389	+	0.760794i	0.992561	+	0.121751i	$0.0388510\pi$
$563$	5.30049	+	18.0518i	0.223389	+	0.760794i	−0.769172	+	0.639042i	$0.779331\pi$
$564$	3.42412	−	1.00541i	0.144182	−	0.0423355i
$565$	3.35884	−	11.4159i	0.141307	−	0.480269i
$566$	−2.62954	−	18.2889i	−0.110528	−	0.768739i
$567$	14.7607	−	12.7902i	0.619889	−	0.537137i
$568$	−99.1028	+	45.2587i	−4.15826	+	1.89901i
$569$	9.05830	−	5.82142i	0.379744	−	0.244047i	−0.336818	−	0.941570i	$-0.609351\pi$
$569$	9.05830	−	5.82142i	0.379744	−	0.244047i	0.716562	+	0.697523i	$0.245715\pi$
$570$	22.1423	+	0.0122162i	0.927438	+	0.000511679i
$571$	−12.9103	−	8.29697i	−0.540281	−	0.347217i	0.241868	−	0.970309i	$-0.422240\pi$
$571$	−12.9103	−	8.29697i	−0.540281	−	0.347217i	−0.782149	+	0.623092i	$0.785876\pi$
$572$	−68.7024	−	59.5310i	−2.87259	−	2.48911i
$573$	−6.76953	+	23.0549i	−0.282801	+	0.963133i
$574$	11.0648			0.461838
$575$	−6.09838	+	23.1907i	−0.254320	+	0.967120i
$576$	2.07845			0.0866021
$577$	4.37078	−	14.8855i	0.181958	−	0.619692i	−0.817108	−	0.576484i	$-0.804424\pi$
$577$	4.37078	−	14.8855i	0.181958	−	0.619692i	0.999066	−	0.0432076i	$-0.0137577\pi$
$578$	25.5824	+	22.1673i	1.06409	+	0.922038i
$579$	8.27983	+	5.32112i	0.344098	+	0.221138i
$580$	23.0086	+	0.0126941i	0.955379	+	0.000527094i
$581$	−14.2618	+	9.16549i	−0.591678	+	0.380249i
$582$	−42.8344	+	19.5618i	−1.77554	+	0.810864i
$583$	−36.1019	+	31.2825i	−1.49519	+	1.29559i
$584$	−11.5189	−	80.1158i	−0.476656	−	3.31522i
$585$	−0.342950	+	1.16560i	−0.0141793	+	0.0481917i
$586$	−26.3364	+	7.73308i	−1.08795	+	0.319450i
$587$	−12.5744	−	42.8243i	−0.518999	−	1.76755i	−0.633090	−	0.774078i	$-0.718214\pi$
$587$	−12.5744	−	42.8243i	−0.518999	−	1.76755i	0.114091	−	0.993470i	$-0.463604\pi$
$588$	−22.2332	−	10.1535i	−0.916880	−	0.418725i
$589$	0.476678	+	3.31537i	0.0196412	+	0.136607i
$590$	−40.0866	−	34.7740i	−1.65034	−	1.43162i
$591$	−14.3859	−	31.5007i	−0.591756	−	1.29576i
$592$	3.64738	+	5.67543i	0.149906	+	0.233259i
$593$	8.66953	+	1.24649i	0.356015	+	0.0511872i	0.318002	−	0.948090i	$-0.396988\pi$
$593$	8.66953	+	1.24649i	0.356015	+	0.0511872i	0.0380129	+	0.999277i	$0.487897\pi$
$594$	64.7917	+	41.6391i	2.65844	+	1.70847i
$595$	7.91357	+	5.09191i	0.324425	+	0.208748i
$596$	87.3349	+	25.6438i	3.57738	+	1.05041i
$597$		−	19.0430i		−	0.779376i
$598$	22.6014	+	32.9828i	0.924242	+	1.34877i
$599$	26.2217			1.07139			0.535694	−	0.844412i	$-0.320050\pi$
$599$	26.2217			1.07139			0.535694	+	0.844412i	$0.320050\pi$
$600$	−69.8251	−	0.0770467i	−2.85060	−	0.00314542i
$601$	−12.2537	+	14.1415i	−0.499838	+	0.576843i	−0.948468	−	0.316874i	$-0.897367\pi$
$601$	−12.2537	+	14.1415i	−0.499838	+	0.576843i	0.448630	+	0.893718i	$0.351912\pi$
$602$	12.2169	−	19.0099i	0.497925	−	0.774786i
$603$	−1.14654	−	0.164847i	−0.0466905	−	0.00671309i
$604$	73.1100	−	46.9849i	2.97480	−	1.91179i
$605$	−42.4308	+	27.2356i	−1.72506	+	1.10728i
$606$	−57.6904	−	66.5783i	−2.34351	−	2.70456i
$607$	−3.44867	+	0.495843i	−0.139977	+	0.0201257i	−0.211947	−	0.977281i	$-0.567980\pi$
$607$	−3.44867	+	0.495843i	−0.139977	+	0.0201257i	0.0719701	+	0.997407i	$0.477071\pi$
$608$	24.3811	+	11.1345i	0.988784	+	0.451563i
$609$	−7.28417	+	2.13883i	−0.295170	+	0.0866696i
$610$	7.31631	−	3.33637i	0.296229	−	0.135086i
$611$	−0.528891	+	1.15811i	−0.0213966	+	0.0468521i
$612$	−1.73022	+	0.248767i	−0.0699398	+	0.0100558i
$613$	−12.2285	+	10.5961i	−0.493905	+	0.427971i	−0.865865	−	0.500278i	$-0.833231\pi$
$613$	−12.2285	+	10.5961i	−0.493905	+	0.427971i	0.371960	+	0.928249i	$0.378686\pi$
$614$	−2.86801	−	6.28006i	−0.115743	−	0.253443i
$615$	6.12990	−	5.30567i	0.247181	−	0.213945i
$616$	−13.3068	+	92.5510i	−0.536147	+	3.72899i
$617$	−18.1414	+	28.2285i	−0.730344	+	1.13644i	0.255178	+	0.966894i	$0.417866\pi$
$617$	−18.1414	+	28.2285i	−0.730344	+	1.13644i	−0.985523	+	0.169544i	$0.945771\pi$
$618$	−46.4785	−	40.2739i	−1.86964	−	1.62005i
$619$	7.07680	+	2.07794i	0.284441	+	0.0835193i	0.420841	−	0.907135i	$-0.361735\pi$
$619$	7.07680	+	2.07794i	0.284441	+	0.0835193i	−0.136400	+	0.990654i	$0.543553\pi$
$620$	−2.50579	−	17.4967i	−0.100635	−	0.702685i
$621$	−16.3507	−	17.7796i	−0.656130	−	0.713469i
$622$			70.6865i			2.83427i
$623$	1.85458	−	6.31611i	0.0743020	−	0.253049i
$624$	−39.6339	+	45.7400i	−1.58663	+	1.83106i
$625$	24.9999	+	0.0551711i	0.999998	+	0.00220685i
$626$	−6.25270	+	43.4885i	−0.249908	+	1.73815i
$627$	−11.7454	−	18.2761i	−0.469064	−	0.729878i
$628$	−5.12591	+	2.34092i	−0.204546	+	0.0934130i
$629$	−0.839215	−	0.968506i	−0.0334617	−	0.0386169i
$630$	2.00688	−	0.588072i	0.0799562	−	0.0234293i
$631$	7.29135	−	15.9658i	0.290264	−	0.635590i	−0.707181	−	0.707033i	$-0.750033\pi$
$631$	7.29135	−	15.9658i	0.290264	−	0.635590i	0.997445	+	0.0714433i	$0.0227605\pi$
$632$	18.8357	+	64.1484i	0.749243	+	2.55169i
$633$	−6.31134	−	21.4944i	−0.250853	−	0.854328i
$634$	28.7517	−	62.9574i	1.14187	−	2.50036i
$635$	5.45372	+	18.6117i	0.216424	+	0.738581i
$636$	47.8070	+	55.1723i	1.89567	+	2.18772i
$637$	7.93191	−	3.62238i	0.314274	−	0.143524i
$638$	−17.1163	−	26.6335i	−0.677642	−	1.05443i
$639$	0.340245	−	2.36645i	0.0134599	−	0.0936155i
$640$	−13.0876	−	5.98565i	−0.517334	−	0.236604i
$641$	−21.4742	+	24.7826i	−0.848181	+	0.978853i	−0.999954	−	0.00956193i	$-0.996956\pi$
$641$	−21.4742	+	24.7826i	−0.848181	+	0.978853i	0.151773	+	0.988415i	$0.451502\pi$
$642$	2.98367	−	10.1615i	0.117756	−	0.401041i
$643$		−	17.2988i		−	0.682198i	−0.940027	−	0.341099i	$-0.889201\pi$
$643$		−	17.2988i		−	0.682198i	0.940027	−	0.341099i	$-0.110799\pi$
$644$	19.0573	−	45.2208i	0.750962	−	1.78195i
$645$	−2.34723	−	16.3895i	−0.0924221	−	0.645337i
$646$	−10.9045	−	3.20184i	−0.429031	−	0.125975i
$647$	27.7286	+	24.0270i	1.09012	+	0.944599i	0.998688	−	0.0512122i	$-0.0163085\pi$
$647$	27.7286	+	24.0270i	1.09012	+	0.944599i	0.0914371	+	0.995811i	$0.470854\pi$
$648$	40.2151	−	62.5760i	1.57980	−	2.45822i
$649$	−7.40993	+	51.5372i	−0.290865	+	2.02301i
$650$	27.3332	−	31.4739i	1.07210	−	1.23451i
$651$	2.42268	+	5.30493i	0.0949523	+	0.207916i
$652$	29.1083	−	25.2225i	1.13997	−	0.987790i
$653$	−31.5106	+	4.53054i	−1.23311	+	0.177294i	−0.727887	−	0.685697i	$-0.759497\pi$
$653$	−31.5106	+	4.53054i	−1.23311	+	0.177294i	−0.505219	+	0.862991i	$0.668588\pi$
$654$	11.7894	−	25.8152i	0.461003	−	1.00945i
$655$	−14.4093	−	31.5982i	−0.563020	−	1.23464i
$656$	21.0183	−	6.17153i	0.820627	−	0.240958i
$657$	1.61565	+	0.737844i	0.0630326	+	0.0287860i
$658$	2.16906	−	0.311864i	0.0845588	−	0.0121577i
$659$	20.1626	+	23.2689i	0.785424	+	0.906428i	0.997489	−	0.0708277i	$-0.0225640\pi$
$659$	20.1626	+	23.2689i	0.785424	+	0.906428i	−0.212064	+	0.977256i	$0.568019\pi$
$660$	61.9274	+	96.4779i	2.41052	+	3.75540i
$661$	−28.3663	+	18.2299i	−1.10332	+	0.709061i	−0.959828	−	0.280590i	$-0.909470\pi$
$661$	−28.3663	+	18.2299i	−1.10332	+	0.709061i	−0.143493	+	0.989651i	$0.545834\pi$
$662$	18.4412	+	2.65144i	0.716737	+	0.103051i
$663$	6.21554	−	9.67157i	0.241392	−	0.375613i
$664$	−42.2813	+	48.7952i	−1.64083	+	1.89362i
$665$	9.59567	+	1.38505i	0.372104	+	0.0537101i
$666$	−0.284797			−0.0110357
$667$	3.07771	+	9.44015i	0.119169	+	0.365524i
$668$			47.3679i			1.83272i
$669$	−8.56468	−	2.51482i	−0.331130	−	0.0972285i
$670$	33.4205	+	21.5041i	1.29115	+	0.830776i
$671$	−6.63710	−	4.26541i	−0.256223	−	0.164664i
$672$	46.1937	+	6.64165i	1.78196	+	0.256207i
$673$	−1.52933	−	2.37968i	−0.0589511	−	0.0917298i	0.810527	−	0.585702i	$-0.199181\pi$
$673$	−1.52933	−	2.37968i	−0.0589511	−	0.0917298i	−0.869478	+	0.493972i	$0.835545\pi$
$674$	−17.9250	−	39.2502i	−0.690444	−	1.51186i
$675$	−13.6384	+	21.1704i	−0.524943	+	0.814849i
$676$	2.14134	+	14.8933i	0.0823592	+	0.572821i
$677$	−1.60190	−	0.731565i	−0.0615662	−	0.0281163i	0.384394	−	0.923169i	$-0.374410\pi$
$677$	−1.60190	−	0.731565i	−0.0615662	−	0.0281163i	−0.445960	+	0.895053i	$0.647138\pi$
$678$	7.04979	+	24.0094i	0.270745	+	0.922074i
$679$	−19.7833	+	5.80891i	−0.759215	+	0.222926i
$680$	34.3814	+	10.1159i	1.31847	+	0.387927i
$681$	−3.54370	−	24.6470i	−0.135795	−	0.944473i
$682$	−18.3804	+	15.9267i	−0.703821	+	0.609865i
$683$	11.7951	−	5.38662i	0.451326	−	0.206113i	−0.176766	−	0.984253i	$-0.556564\pi$
$683$	11.7951	−	5.38662i	0.451326	−	0.206113i	0.628092	+	0.778139i	$0.283836\pi$
$684$	−1.51504	+	0.973657i	−0.0579290	+	0.0372287i
$685$	0.0129362	−	23.4474i	0.000494268	−	0.895881i
$686$	−44.6341	−	28.6846i	−1.70414	−	1.09518i
$687$	15.8474	+	13.7318i	0.604615	+	0.523902i
$688$	12.6038	−	42.9245i	0.480515	−	1.63648i
$689$	−26.0447			−0.992224
$690$	−15.6032	−	47.9490i	−0.594005	−	1.82539i
$691$	−9.31109			−0.354210			−0.177105	−	0.984192i	$-0.556673\pi$
$691$	−9.31109			−0.354210			−0.177105	+	0.984192i	$0.556673\pi$
$692$	−15.7190	+	53.5341i	−0.597548	+	2.03506i
$693$	−1.55068	−	1.34367i	−0.0589056	−	0.0510420i
$694$	46.4471	+	29.8498i	1.76311	+	1.13308i
$695$	−30.2996	−	0.0167166i	−1.14933	−	0.000634098i
$696$	−24.3231	+	15.6315i	−0.921963	+	0.592510i
$697$	−3.78507	+	1.72858i	−0.143370	+	0.0654748i
$698$	49.5292	−	42.9173i	1.87471	−	1.62444i
$699$	1.25831	+	8.75176i	0.0475938	+	0.331022i
$700$	−50.6327	−	7.33691i	−1.91373	−	0.277309i
$701$	24.1132	−	7.08026i	0.910742	−	0.267418i	0.207389	−	0.978259i	$-0.433504\pi$
$701$	24.1132	−	7.08026i	0.910742	−	0.267418i	0.703353	+	0.710841i	$0.251685\pi$
$702$	11.8303	+	40.2903i	0.446506	+	1.52066i
$703$	−1.20100	−	0.548479i	−0.0452967	−	0.0206863i
$704$	9.95713	+	69.2534i	0.375274	+	2.61009i
$705$	1.05211	−	1.21285i	0.0396249	−	0.0456786i
$706$	13.5487	+	29.6675i	0.509911	+	1.11655i
$707$	−20.8542	−	32.4498i	−0.784304	−	1.22040i
$708$	78.7610	+	11.3241i	2.96002	+	0.425586i
$709$	24.3663	+	15.6593i	0.915095	+	0.588096i	0.911230	−	0.411897i	$-0.135134\pi$
$709$	24.3663	+	15.6593i	0.915095	+	0.588096i	0.00386426	+	0.999993i	$0.498770\pi$
$710$	−44.3846	+	68.9800i	−1.66572	+	2.58878i
$711$	−1.40769	−	0.413335i	−0.0527925	−	0.0155013i
$712$		−	25.0703i		−	0.939551i
$713$	6.84165	−	3.37230i	0.256222	−	0.126293i
$714$	−19.7880			−0.740546
$715$	−40.4805	−	5.84302i	−1.51389	−	0.218516i
$716$	16.0929	−	18.5721i	0.601418	−	0.694074i
$717$	−13.6964	+	21.3120i	−0.511502	+	0.795912i
$718$	30.2663	+	4.35164i	1.12953	+	0.162402i
$719$	−24.1127	+	15.4963i	−0.899253	+	0.577915i	−0.906569	−	0.422059i	$-0.861308\pi$
$719$	−24.1127	+	15.4963i	−0.899253	+	0.577915i	0.00731583	+	0.999973i	$0.497671\pi$
$720$	3.48419	−	2.23644i	0.129848	−	0.0833471i
$721$	−17.6341	−	20.3509i	−0.656730	−	0.757907i
$722$	38.0611	−	5.47236i	1.41649	−	0.203660i
$723$	−6.08968	−	2.78107i	−0.226478	−	0.103429i
$724$	37.7580	−	11.0868i	1.40327	−	0.412036i
$725$	8.71473	−	5.58704i	0.323657	−	0.207497i
$726$	44.0438	−	96.4425i	1.63462	−	3.57932i
$727$	−26.1416	+	3.75859i	−0.969538	+	0.139398i	−0.608848	−	0.793287i	$-0.708368\pi$
$727$	−26.1416	+	3.75859i	−0.969538	+	0.139398i	−0.360690	+	0.932686i	$0.617459\pi$
$728$	−38.5273	+	33.3841i	−1.42792	+	1.23730i
$729$	−10.5012	−	22.9945i	−0.388934	−	0.851647i
$730$	−39.8808	−	46.0763i	−1.47606	−	1.70536i
$731$	−1.20939	+	8.41149i	−0.0447309	+	0.311110i
$732$	−6.51855	+	10.1431i	−0.240932	+	0.374898i
$733$	−40.2210	−	34.8517i	−1.48560	−	1.28728i	−0.863516	−	0.504322i	$-0.831743\pi$
$733$	−40.2210	−	34.8517i	−1.48560	−	1.28728i	−0.622080	−	0.782954i	$-0.713712\pi$
$734$	−21.1385	−	6.20684i	−0.780238	−	0.229099i
$735$	−10.8857	+	1.55900i	−0.401525	+	0.0575045i
$736$	6.89728	−	60.6472i	0.254237	−	2.23548i
$737$		−	38.9920i		−	1.43629i
$738$	−0.260529	+	0.887281i	−0.00959021	+	0.0326612i
$739$	16.3546	−	18.8742i	0.601614	−	0.694300i	−0.370493	−	0.928835i	$-0.620811\pi$
$739$	16.3546	−	18.8742i	0.601614	−	0.694300i	0.972108	+	0.234535i	$0.0753569\pi$
$740$	6.33613	+	2.89784i	0.232921	+	0.106527i
$741$	1.68568	−	11.7241i	0.0619249	−	0.430697i
$742$	24.2359	+	37.7118i	0.889728	+	1.38444i
$743$	28.6938	−	13.1040i	1.05267	−	0.480741i	0.187528	−	0.982259i	$-0.439952\pi$
$743$	28.6938	−	13.1040i	1.05267	−	0.480741i	0.865147	+	0.501519i	$0.167225\pi$
$744$	14.5451	+	16.7859i	0.533248	+	0.615400i
$745$	39.2996	−	11.5159i	1.43983	−	0.421908i
$746$	−30.1333	+	65.9827i	−1.10326	+	2.41580i
$747$	−0.399170	−	1.35945i	−0.0146049	−	0.0497396i
$748$	−16.5777	−	56.4585i	−0.606142	−	2.06433i
$749$	1.92631	−	4.21804i	0.0703860	−	0.154124i
$750$	−44.2721	+	28.3485i	−1.61659	+	1.03514i
$751$	−0.178172	−	0.205622i	−0.00650159	−	0.00750324i	0.752489	−	0.658604i	$-0.228853\pi$
$751$	−0.178172	−	0.205622i	−0.00650159	−	0.00750324i	−0.758991	+	0.651101i	$0.774307\pi$
$752$	3.94631	−	1.80222i	0.143907	−	0.0657202i
$753$	16.9865	+	26.4316i	0.619024	+	0.963220i
$754$	2.45651	−	17.0854i	0.0894608	−	0.622213i
$755$	16.2625	−	35.5579i	0.591851	−	1.29408i
$756$	33.7491	−	38.9486i	1.22744	−	1.41655i
$757$	−0.581408	+	1.98009i	−0.0211316	+	0.0719678i	−0.969384	−	0.245550i	$-0.921031\pi$
$757$	−0.581408	+	1.98009i	−0.0211316	+	0.0719678i	0.948252	+	0.317518i	$0.102849\pi$
$758$			26.1062i			0.948219i
$759$	−31.2790	+	38.3306i	−1.13535	+	1.39131i
$760$	36.5508	−	5.23463i	1.32584	−	0.189880i
$761$	39.8954	+	11.7143i	1.44621	+	0.424644i	0.908285	−	0.418351i	$-0.137392\pi$
$761$	39.8954	+	11.7143i	1.44621	+	0.424644i	0.537921	+	0.842996i	$0.319210\pi$
$762$	−30.8214	−	26.7069i	−1.11654	−	0.967489i
$763$	6.71815	−	10.4536i	0.243213	−	0.378447i
$764$	−9.54237	+	66.3686i	−0.345231	+	2.40113i
$765$	−0.594646	+	0.514690i	−0.0214995	+	0.0186086i
$766$	−12.3360	−	27.0122i	−0.445719	−	0.975989i
$767$	−21.4540	+	18.5900i	−0.774660	+	0.671246i
$768$	−12.6352	+	1.81667i	−0.455934	+	0.0655535i
$769$	18.8182	−	41.2062i	0.678602	−	1.48593i	−0.185515	−	0.982641i	$-0.559395\pi$
$769$	18.8182	−	41.2062i	0.678602	−	1.48593i	0.864117	−	0.503290i	$-0.167877\pi$
$770$	29.2087	+	64.0516i	1.05261	+	2.30826i
$771$	−10.5281	+	3.09134i	−0.379161	+	0.111332i
$772$	24.9830	+	11.4093i	0.899157	+	0.410631i
$773$	11.6427	−	1.67397i	0.418759	−	0.0602085i	0.0702852	−	0.997527i	$-0.477609\pi$
$773$	11.6427	−	1.67397i	0.418759	−	0.0602085i	0.348474	+	0.937318i	$0.386700\pi$
$774$	1.23673	+	1.42727i	0.0444534	+	0.0513020i
$775$	−5.20104	−	6.01572i	−0.186827	−	0.216091i
$776$	−66.0598	+	42.4541i	−2.37141	+	1.52401i
$777$	−2.27548	−	0.327165i	−0.0816325	−	0.0117370i
$778$	−11.6295	+	18.0958i	−0.416937	+	0.648767i
$779$	−2.80744	+	3.23996i	−0.100587	+	0.116084i
$780$	−8.92950	+	61.8638i	−0.319728	+	2.21508i
$781$	80.4796			2.87979
$782$	0.764877	+	25.8694i	0.0273520	+	0.925089i
$783$			10.4277i			0.372657i
$784$	−28.5099	−	8.37126i	−1.01821	−	0.298973i
$785$	−1.37188	+	2.13210i	−0.0489645	+	0.0760979i
$786$	61.4350	+	39.4819i	2.19132	+	1.40827i
$787$	−35.1816	−	5.05835i	−1.25409	−	0.180311i	−0.516928	−	0.856029i	$-0.672925\pi$
$787$	−35.1816	−	5.05835i	−1.25409	−	0.180311i	−0.737160	+	0.675718i	$0.763834\pi$
$788$	−52.2453	−	81.2953i	−1.86116	−	2.89602i
$789$	15.2035	+	33.2911i	0.541260	+	1.18519i
$790$	38.0229	+	32.9837i	1.35279	+	1.17351i
$791$	1.55927	+	10.8449i	0.0554411	+	0.385601i
$792$	−7.10827	−	3.24624i	−0.252581	−	0.115350i
$793$	−1.21187	−	4.12724i	−0.0430347	−	0.146563i
$794$	−34.0176	+	9.98846i	−1.20724	+	0.354477i
$795$	31.5097	+	9.27097i	1.11753	+	0.328807i
$796$	−7.56256	−	52.5988i	−0.268048	−	1.86431i
$797$	−4.42871	+	3.83750i	−0.156873	+	0.135931i	−0.729761	−	0.683703i	$-0.760369\pi$
$797$	−4.42871	+	3.83750i	−0.156873	+	0.135931i	0.572888	+	0.819634i	$0.305823\pi$
$798$	−18.5447	+	8.46910i	−0.656477	+	0.299803i
$799$	−0.693274	+	0.445540i	−0.0245263	+	0.0157621i
$800$	−62.9989	+	8.98693i	−2.22735	+	0.317736i
$801$	0.462816	+	0.297434i	0.0163528	+	0.0105093i
$802$	−28.2848	−	24.5090i	−0.998772	−	0.865441i
$803$	−16.8447	+	57.3678i	−0.594437	+	2.02447i
$804$	−59.5889			−2.10154
$805$	−3.77456	−	21.7533i	−0.133036	−	0.766703i
$806$	−13.2600			−0.467064
$807$	−7.50723	+	25.5673i	−0.264267	+	0.900011i
$808$	−111.024	−	96.2027i	−3.90580	−	3.38440i
$809$	31.2095	+	20.0571i	1.09727	+	0.705171i	0.958482	−	0.285152i	$-0.0920441\pi$
$809$	31.2095	+	20.0571i	1.09727	+	0.705171i	0.138785	+	0.990323i	$0.455680\pi$
$810$	0.0308975	−	56.0030i	0.00108563	−	1.96774i
$811$	−8.22031	+	5.28287i	−0.288654	+	0.185507i	−0.676952	−	0.736027i	$-0.736700\pi$
$811$	−8.22031	+	5.28287i	−0.288654	+	0.185507i	0.388298	+	0.921534i	$0.373063\pi$
$812$	−19.2703	+	8.80045i	−0.676255	+	0.308835i
$813$	20.0066	−	17.3358i	0.701662	−	0.607994i
$814$	−1.36436	−	9.48935i	−0.0478209	−	0.332602i
$815$	4.89127	−	16.6242i	0.171334	−	0.582320i
$816$	−37.5884	+	11.0370i	−1.31586	+	0.386371i
$817$	2.46665	+	8.40062i	0.0862970	+	0.293901i
$818$	−44.1593	−	20.1669i	−1.54399	−	0.705118i
$819$	−0.159207	−	1.10731i	−0.00556314	−	0.0386925i
$820$	14.8244	−	17.0892i	0.517691	−	0.596781i
$821$	1.01096	+	2.21369i	0.0352827	+	0.0772583i	0.926453	−	0.376411i	$-0.122842\pi$
$821$	1.01096	+	2.21369i	0.0352827	+	0.0772583i	−0.891170	+	0.453669i	$0.850115\pi$
$822$	26.6567	+	41.4786i	0.929759	+	1.44673i
$823$	−41.8903	−	6.02292i	−1.46020	−	0.209946i	−0.634007	−	0.773327i	$-0.718591\pi$
$823$	−41.8903	−	6.02292i	−1.46020	−	0.209946i	−0.826197	+	0.563381i	$0.809500\pi$
$824$	−86.2750	−	55.4456i	−3.00553	−	1.93154i
$825$	46.8947	+	21.4786i	1.63266	+	0.747791i
$826$	46.8817	+	13.7657i	1.63122	+	0.478971i
$827$			31.4841i			1.09481i	0.836867	+	0.547406i	$0.184384\pi$
$827$			31.4841i			1.09481i	−0.836867	+	0.547406i	$0.815616\pi$
$828$	3.17750	+	2.59294i	0.110426	+	0.0901108i
$829$	−39.5914			−1.37507			−0.687534	−	0.726152i	$-0.741307\pi$
$829$	−39.5914			−1.37507			−0.687534	+	0.726152i	$0.741307\pi$
$830$	−6.94454	+	48.1119i	−0.241048	+	1.66999i
$831$	−11.6412	+	13.4346i	−0.403827	+	0.466042i
$832$	−20.6234	+	32.0906i	−0.714987	+	1.11254i
$833$	5.58679	+	0.803260i	0.193571	+	0.0278313i
$834$	53.6001	−	34.4467i	1.85602	−	1.19279i
$835$	11.5120	+	17.9347i	0.398388	+	0.620657i
$836$	−39.7000	−	45.8162i	−1.37305	−	1.58459i
$837$	7.92907	−	1.14003i	0.274069	−	0.0394051i
$838$	71.6364	+	32.7153i	2.47464	+	1.13013i
$839$	−7.51083	+	2.20538i	−0.259303	+	0.0761382i	−0.408800	−	0.912624i	$-0.634053\pi$
$839$	−7.51083	+	2.20538i	−0.259303	+	0.0761382i	0.149497	+	0.988762i	$0.452234\pi$
$840$	58.4951	−	26.6748i	2.01827	−	0.920369i
$841$	−10.2664	+	22.4802i	−0.354013	+	0.775180i
$842$	88.1039	−	12.6674i	3.03626	−	0.436548i
$843$	34.4257	−	29.8301i	1.18569	−	1.02740i
$844$	−25.9687	−	56.8636i	−0.893881	−	1.95733i
$845$	4.43034	+	5.11859i	0.152408	+	0.176085i
$846$	−0.0260639	+	0.181278i	−0.000896095	+	0.00623248i
$847$	25.0982	−	39.0536i	0.862384	−	1.34190i
$848$	67.0717	+	58.1179i	2.30325	+	1.99578i
$849$	11.9599	+	3.51174i	0.410462	+	0.120523i
$850$	25.8979	−	7.57328i	0.888291	−	0.259762i
$851$	−0.339757	+	2.98745i	−0.0116467	+	0.102409i
$852$		−	122.992i		−	4.21363i
$853$	−4.71569	+	16.0602i	−0.161462	+	0.549890i	0.838525	+	0.544863i	$0.183418\pi$
$853$	−4.71569	+	16.0602i	−0.161462	+	0.549890i	−0.999987	+	0.00502706i	$0.998400\pi$
$854$	−4.84840	+	5.59535i	−0.165909	+	0.191469i
$855$	−0.337003	+	0.736857i	−0.0115252	+	0.0252000i
$856$	2.51332	−	17.4805i	0.0859036	−	0.597472i
$857$	−21.8585	−	34.0126i	−0.746673	−	1.16185i	−0.981807	−	0.189883i	$-0.939189\pi$
$857$	−21.8585	−	34.0126i	−0.746673	−	1.16185i	0.235133	−	0.971963i	$-0.424447\pi$
$858$	78.2332	−	35.7279i	2.67084	−	1.21973i
$859$	−23.0015	−	26.5451i	−0.784800	−	0.905708i	0.212646	−	0.977129i	$-0.431792\pi$
$859$	−23.0015	−	26.5451i	−0.784800	−	0.905708i	−0.997446	+	0.0714213i	$0.977247\pi$
$860$	−12.9921	−	44.3375i	−0.443027	−	1.51190i
$861$	−3.10086	+	6.78994i	−0.105677	+	0.231401i
$862$	−15.1183	−	51.4881i	−0.514930	−	1.75369i
$863$	7.14758	+	24.3424i	0.243307	+	0.828626i	0.987085	+	0.160199i	$0.0512137\pi$
$863$	7.14758	+	24.3424i	0.243307	+	0.828626i	−0.743778	+	0.668427i	$0.766968\pi$
$864$	26.6293	−	58.3100i	0.905947	−	1.98375i
$865$	7.05893	+	24.0897i	0.240011	+	0.819073i
$866$	−62.6397	−	72.2900i	−2.12858	−	2.45652i
$867$	−20.7723	+	9.48639i	−0.705464	+	0.322175i
$868$	8.79846	+	13.6907i	0.298639	+	0.464692i
$869$	7.02845	−	48.8840i	0.238424	−	1.65827i
$870$	−9.05374	+	19.7960i	−0.306951	+	0.671148i
$871$	13.9217	−	16.0664i	0.471717	−	0.544391i
$872$	13.3331	−	45.4083i	0.451515	−	1.53772i
$873$		−	1.72318i		−	0.0583209i
$874$	11.7887	+	23.9167i	0.398760	+	0.808996i
$875$	−20.9540	+	9.52747i	−0.708373	+	0.322087i
$876$	87.6716	+	25.7427i	2.96215	+	0.869765i
$877$	19.5255	+	16.9189i	0.659329	+	0.571312i	0.918938	−	0.394402i	$-0.129048\pi$
$877$	19.5255	+	16.9189i	0.659329	+	0.571312i	−0.259609	+	0.965714i	$0.583594\pi$
$878$	−3.41275	+	5.31034i	−0.115175	+	0.179215i
$879$	2.63524	−	18.3285i	0.0888845	−	0.618205i
$880$	91.2090	+	105.378i	3.07465	+	3.55230i
$881$	1.31705	+	2.88393i	0.0443725	+	0.0971622i	0.930520	−	0.366241i	$-0.119355\pi$
$881$	1.31705	+	2.88393i	0.0443725	+	0.0971622i	−0.886148	+	0.463403i	$0.846628\pi$
$882$	0.947970	−	0.821421i	0.0319198	−	0.0276587i
$883$	3.20194	−	0.460370i	0.107754	−	0.0154927i	−0.0882269	−	0.996100i	$-0.528120\pi$
$883$	3.20194	−	0.460370i	0.107754	−	0.0154927i	0.195981	+	0.980608i	$0.437211\pi$
$884$	13.3271	−	29.1823i	0.448240	−	0.981509i
$885$	32.5731	−	14.8539i	1.09493	−	0.499309i
$886$	−26.0870	+	7.65984i	−0.876411	+	0.257337i
$887$	23.3433	+	10.6605i	0.783792	+	0.357946i	0.766781	−	0.641909i	$-0.221857\pi$
$887$	23.3433	+	10.6605i	0.783792	+	0.357946i	0.0170118	+	0.999855i	$0.494585\pi$
$888$	−8.66615	+	1.24600i	−0.290817	+	0.0418132i
$889$	−11.6938	−	13.4953i	−0.392196	−	0.452619i
$890$	−10.1959	−	15.8844i	−0.341768	−	0.532447i
$891$	−46.2246	+	29.7067i	−1.54858	+	0.995213i
$892$	−24.6553	−	3.54490i	−0.825521	−	0.118692i
$893$	−0.459029	+	0.714264i	−0.0153608	+	0.0239019i
$894$	−56.3932	+	65.0812i	−1.88607	+	2.17664i
$895$	1.57953	−	10.9430i	0.0527978	−	0.365784i
$896$	13.2507			0.442674
$897$	−26.5739	+	4.62611i	−0.887275	+	0.154461i
$898$			84.8416i			2.83120i
$899$	−3.15948	−	0.927708i	−0.105375	−	0.0309408i
$900$	1.78052	−	3.88744i	0.0593507	−	0.129581i
$901$	−14.1821	−	9.11428i	−0.472474	−	0.303641i
$902$	−30.8120	−	4.43010i	−1.02593	−	0.147506i
$903$	8.24170	+	12.8243i	0.274267	+	0.426767i
$904$	17.3342	+	37.9567i	0.576528	+	1.26242i
$905$	11.6017	−	13.3742i	0.385655	−	0.444573i
$906$	11.7012	+	81.3839i	0.388748	+	2.70380i
$907$	−13.2479	−	6.05013i	−0.439890	−	0.200891i	0.183143	−	0.983086i	$-0.441373\pi$
$907$	−13.2479	−	6.05013i	−0.439890	−	0.200891i	−0.623034	+	0.782195i	$0.714100\pi$
$908$	−19.5762	−	66.6703i	−0.649658	−	2.21253i
$909$	3.09315	−	0.908231i	0.102593	−	0.0301241i
$910$	−10.8336	+	36.8208i	−0.359131	+	1.22060i
$911$	−5.66346	−	39.3902i	−0.187639	−	1.30506i	−0.838100	−	0.545516i	$-0.816334\pi$
$911$	−5.66346	−	39.3902i	−0.187639	−	1.30506i	0.650461	−	0.759539i	$-0.274576\pi$
$912$	−30.5031	+	26.4311i	−1.01006	+	0.875220i
$913$	43.3841	−	19.8129i	1.43580	−	0.655710i
$914$	−29.7351	+	19.1096i	−0.983549	+	0.632089i
$915$	−0.00299284	+	5.42465i	−9.89404e−5	+	0.179333i
$916$	49.2256	+	31.6353i	1.62646	+	1.04526i
$917$	24.1656	+	20.9396i	0.798019	+	0.691487i
$918$	−7.65756	+	26.0792i	−0.252737	+	0.860743i
$919$	14.0233			0.462587			0.231293	−	0.972884i	$-0.425704\pi$
$919$	14.0233			0.462587			0.231293	+	0.972884i	$0.425704\pi$
$920$	−37.1339	−	75.4413i	−1.22427	−	2.48723i
$921$	4.65750			0.153470
$922$	22.7004	−	77.3103i	0.747596	−	2.54608i
$923$	33.1612	+	28.7343i	1.09151	+	0.945802i
$924$	−88.7988	−	57.0675i	−2.92126	−	1.87738i
$925$	3.10330	−	0.442692i	0.102036	−	0.0145556i
$926$	46.4721	−	29.8658i	1.52717	−	0.981450i
$927$	2.04713	−	0.934892i	0.0672365	−	0.0307059i
$928$	−19.9143	+	17.2558i	−0.653718	+	0.566450i
$929$	6.86381	+	47.7389i	0.225194	+	1.56626i	0.717951	+	0.696094i	$0.245080\pi$
$929$	6.86381	+	47.7389i	0.225194	+	1.56626i	−0.492756	+	0.870167i	$0.664011\pi$
$930$	16.0424	+	4.72008i	0.526050	+	0.154777i
$931$	5.57958	−	1.63831i	0.182863	−	0.0536935i
$932$	6.95120	+	23.6736i	0.227694	+	0.775455i
$933$	−43.3767	−	19.8095i	−1.42009	−	0.648534i
$934$	12.3195	+	85.6842i	0.403107	+	2.80367i
$935$	−19.9981	−	17.3477i	−0.654006	−	0.567332i
$936$	−1.76989	−	3.87552i	−0.0578507	−	0.126675i
$937$	16.0195	+	24.9268i	0.523335	+	0.814325i	0.997824	−	0.0659368i	$-0.0210036\pi$
$937$	16.0195	+	24.9268i	0.523335	+	0.814325i	−0.474489	+	0.880261i	$0.657367\pi$
$938$	−36.2184	−	5.20743i	−1.18257	−	0.170028i
$939$	−24.9344	−	16.0244i	−0.813705	−	0.522936i
$940$	2.42439	−	3.76786i	0.0790750	−	0.122894i
$941$	15.2867	+	4.48857i	0.498331	+	0.146323i	0.521233	−	0.853415i	$-0.325472\pi$
$941$	15.2867	+	4.48857i	0.498331	+	0.146323i	−0.0229019	+	0.999738i	$0.507291\pi$
$942$		−	5.33134i		−	0.173705i
$943$	8.99656	+	3.79140i	0.292968	+	0.123465i
$944$	96.7325			3.14838
$945$	3.31251	−	22.9491i	0.107756	−	0.746534i
$946$	−41.6313	+	48.0451i	−1.35355	+	1.56208i
$947$	−30.1753	+	46.9537i	−0.980565	+	1.52579i	−0.135742	+	0.990744i	$0.543342\pi$
$947$	−30.1753	+	46.9537i	−0.980565	+	1.52579i	−0.844823	+	0.535045i	$0.820294\pi$
$948$	−74.7062	−	10.7411i	−2.42635	−	0.348856i
$949$	−27.4233	+	17.6239i	−0.890199	+	0.572096i
$950$	21.0295	−	18.1816i	0.682287	−	0.589888i
$951$	30.5763	+	35.2869i	0.991504	+	1.14426i
$952$	−32.6619	+	4.69608i	−1.05858	+	0.152201i
$953$	39.8521	+	18.1999i	1.29094	+	0.589551i	0.938175	−	0.346162i	$-0.112515\pi$
$953$	39.8521	+	18.1999i	1.29094	+	0.589551i	0.352763	+	0.935713i	$0.385242\pi$
$954$	−3.59473	+	1.05551i	−0.116384	+	0.0341733i
$955$	12.5168	+	27.4480i	0.405034	+	0.888197i
$956$	−29.3673	+	64.3054i	−0.949807	+	2.07979i
$957$	21.1404	−	3.03953i	0.683372	−	0.0982541i
$958$	66.3201	−	57.4667i	2.14271	−	1.85667i
$959$	8.96831	+	19.6379i	0.289602	+	0.634139i
$960$	36.3739	−	31.4830i	1.17396	−	1.01611i
$961$	4.05176	−	28.1806i	0.130702	−	0.909052i
$962$	2.82589	−	4.39717i	0.0911103	−	0.141770i
$963$	0.292885	+	0.253786i	0.00943808	+	0.00817814i
$964$	−17.9248	−	5.26320i	−0.577320	−	0.169516i
$965$	12.2321	−	1.75182i	0.393764	−	0.0563930i
$966$	31.4268	+	34.1732i	1.01114	+	1.09950i
$967$		−	13.4070i		−	0.431139i	−0.976488	−	0.215570i	$-0.930839\pi$
$967$		−	13.4070i		−	0.431139i	0.976488	−	0.215570i	$-0.0691608\pi$
$968$	49.8108	−	169.640i	1.60098	−	5.45244i
$969$	5.02073	−	5.79423i	0.161289	−	0.186138i
$970$	−24.5894	+	53.7647i	−0.789517	+	1.72628i
$971$	5.71226	−	39.7296i	0.183315	−	1.27498i	−0.665541	−	0.746361i	$-0.731799\pi$
$971$	5.71226	−	39.7296i	0.183315	−	1.27498i	0.848856	−	0.528623i	$-0.177292\pi$
$972$	4.79890	+	7.46723i	0.153925	+	0.239511i
$973$	25.3767	−	11.5892i	0.813540	−	0.371531i
$974$	36.6386	+	42.2832i	1.17398	+	1.35484i
$975$	11.6540	+	25.5934i	0.373227	+	0.819645i
$976$	−6.08895	+	13.3329i	−0.194903	+	0.426777i
$977$	−10.4549	−	35.6061i	−0.334482	−	1.13914i	−0.939392	−	0.342846i	$-0.888609\pi$
$977$	−10.4549	−	35.6061i	−0.334482	−	1.13914i	0.604910	−	0.796294i	$-0.293209\pi$
$978$	10.2662	+	34.9634i	0.328276	+	1.11800i
$979$	−7.69322	+	16.8458i	−0.245876	+	0.538394i
$980$	−29.4484	+	8.62918i	−0.940694	+	0.275649i
$981$	0.680086	+	0.784861i	0.0217135	+	0.0250587i
$982$	37.7192	−	17.2258i	1.20367	−	0.549696i
$983$	−17.3757	−	27.0372i	−0.554200	−	0.862352i	0.445254	−	0.895404i	$-0.353113\pi$
$983$	−17.3757	−	27.0372i	−0.554200	−	0.862352i	−0.999454	+	0.0330527i	$0.989477\pi$
$984$	−4.04579	+	28.1391i	−0.128975	+	0.897041i
$985$	−39.5389	−	18.0832i	−1.25981	−	0.576178i
$986$	7.31663	−	8.44384i	0.233009	−	0.268907i
$987$	−0.416493	+	1.41844i	−0.0132571	+	0.0451495i
$988$		−	33.0528i		−	1.05155i
$989$	16.4471	−	11.2703i	0.522987	−	0.358376i
$990$	−5.82398	+	0.834082i	−0.185098	+	0.0265089i
$991$	3.91774	+	1.15035i	0.124451	+	0.0365421i	0.343365	−	0.939202i	$-0.388433\pi$
$991$	3.91774	+	1.15035i	0.124451	+	0.0365421i	−0.218914	+	0.975744i	$0.570251\pi$
$992$	15.2982	+	13.2560i	0.485718	+	0.420877i
$993$	−6.79510	+	10.5734i	−0.215636	+	0.335536i
$994$	10.7481	−	74.7550i	0.340911	−	2.37108i
$995$	−15.6466	−	18.0773i	−0.496031	−	0.573089i
$996$	−30.2787	−	66.3011i	−0.959418	−	2.10083i
$997$	13.9441	−	12.0826i	0.441613	−	0.382660i	−0.405480	−	0.914104i	$-0.632896\pi$
$997$	13.9441	−	12.0826i	0.441613	−	0.382660i	0.847094	+	0.531444i	$0.178350\pi$
$998$	−106.948	+	15.3767i	−3.38537	+	0.486742i
$999$	−1.31175	+	2.87233i	−0.0415019	+	0.0908764i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	115.2.j.a.64.1	yes	100
5.2	odd	4		575.2.k.g.501.1		100
5.3	odd	4		575.2.k.g.501.10		100
5.4	even	2	inner	115.2.j.a.64.10	yes	100
23.9	even	11	inner	115.2.j.a.9.10	yes	100
115.9	even	22	inner	115.2.j.a.9.1	✓	100
115.32	odd	44		575.2.k.g.101.1		100
115.78	odd	44		575.2.k.g.101.10		100

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
115.2.j.a.9.1	✓	100	115.9	even	22	inner
115.2.j.a.9.10	yes	100	23.9	even	11	inner
115.2.j.a.64.1	yes	100	1.1	even	1	trivial
115.2.j.a.64.10	yes	100	5.4	even	2	inner
575.2.k.g.101.1		100	115.32	odd	44
575.2.k.g.101.10		100	115.78	odd	44
575.2.k.g.501.1		100	5.2	odd	4
575.2.k.g.501.10		100	5.3	odd	4

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 115 = 5 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	115.j (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.743795 + 2.53313i) q^{2} +(-1.34601 - 1.16633i) q^{3} +(-4.18102 - 2.68698i) q^{4} +(-2.23607 - 0.00123367i) q^{5} +(3.95561 - 2.54212i) q^{6} +(1.87277 - 0.855264i) q^{7} +(5.92582 - 5.13475i) q^{8} +(0.0244873 + 0.170313i) q^{9} +O(q^{10})\)	\(q+(-0.743795 + 2.53313i) q^{2} +(-1.34601 - 1.16633i) q^{3} +(-4.18102 - 2.68698i) q^{4} +(-2.23607 - 0.00123367i) q^{5} +(3.95561 - 2.54212i) q^{6} +(1.87277 - 0.855264i) q^{7} +(5.92582 - 5.13475i) q^{8} +(0.0244873 + 0.170313i) q^{9} +(1.66630 - 5.66334i) q^{10} +(-5.55748 + 1.63182i) q^{11} +(2.49381 + 8.49314i) q^{12} +(-2.87256 - 1.31185i) q^{13} +(0.773542 + 5.38010i) q^{14} +(3.00833 + 2.60964i) q^{15} +(4.47020 + 9.78837i) q^{16} +(-1.10511 - 1.71958i) q^{17} +(-0.449639 - 0.0646484i) q^{18} +(-1.77165 - 1.13857i) q^{19} +(9.34573 + 6.01342i) q^{20} +(-3.51828 - 1.03306i) q^{21} -15.2916i q^{22} +(-1.21456 + 4.63949i) q^{23} -13.9650 q^{24} +(5.00000 + 0.00551712i) q^{25} +(5.45969 - 6.30081i) q^{26} +(-2.72301 + 4.23709i) q^{27} +(-10.1281 - 1.45621i) q^{28} +(1.74171 - 1.11933i) q^{29} +(-8.84816 + 5.67947i) q^{30} +(-1.04153 - 1.20200i) q^{31} +(-12.5978 + 1.81129i) q^{32} +(9.38367 + 4.28538i) q^{33} +(5.17791 - 1.52037i) q^{34} +(-4.18869 + 1.91012i) q^{35} +(0.355246 - 0.777880i) q^{36} +(0.620561 - 0.0892232i) q^{37} +(4.20189 - 3.64095i) q^{38} +(2.33645 + 5.11610i) q^{39} +(-13.2569 + 11.4743i) q^{40} +(0.289709 - 2.01497i) q^{41} +(5.23376 - 8.14389i) q^{42} +(-3.14193 - 2.72250i) q^{43} +(27.6206 + 8.11014i) q^{44} +(-0.0545453 - 0.380862i) q^{45} +(-10.8491 - 6.52746i) q^{46} -0.403164i q^{47} +(5.39949 - 18.3890i) q^{48} +(-1.80825 + 2.08683i) q^{49} +(-3.73295 + 12.6615i) q^{50} +(-0.518105 + 3.60350i) q^{51} +(8.48529 + 13.2034i) q^{52} +(7.50209 - 3.42609i) q^{53} +(-8.70774 - 10.0493i) q^{54} +(12.4289 - 3.64201i) q^{55} +(6.70611 - 14.6843i) q^{56} +(1.05672 + 3.59885i) q^{57} +(1.53994 + 5.24454i) q^{58} +(3.73431 - 8.17700i) q^{59} +(-5.56585 - 18.9943i) q^{60} +(0.892000 + 1.02942i) q^{61} +(3.81950 - 1.74431i) q^{62} +(0.191522 + 0.298014i) q^{63} +(1.71909 - 11.9565i) q^{64} +(6.42161 + 2.93693i) q^{65} +(-17.8350 + 20.5826i) q^{66} +(-1.89660 + 6.45923i) q^{67} +10.1590i q^{68} +(7.04596 - 4.82824i) q^{69} +(-1.72306 - 12.0312i) q^{70} +(-13.3319 - 3.91459i) q^{71} +(1.01962 + 0.883509i) q^{72} +(5.58084 - 8.68396i) q^{73} +(-0.235556 + 1.63833i) q^{74} +(-6.72362 - 5.83905i) q^{75} +(4.34798 + 9.52075i) q^{76} +(-9.01222 + 7.80913i) q^{77} +(-14.6976 + 2.11320i) q^{78} +(-3.54206 + 7.75603i) q^{79} +(-9.98359 - 21.8930i) q^{80} +(9.10231 - 2.67268i) q^{81} +(4.88870 + 2.23259i) q^{82} +(-8.15053 + 1.17187i) q^{83} +(11.9342 + 13.7728i) q^{84} +(2.46898 + 3.84647i) q^{85} +(9.23341 - 5.93395i) q^{86} +(-3.64987 - 0.524772i) q^{87} +(-24.5536 + 38.2062i) q^{88} +(2.09382 - 2.41639i) q^{89} +(1.00534 + 0.145113i) q^{90} -6.50160 q^{91} +(17.5443 - 16.1343i) q^{92} +2.83267i q^{93} +(1.02127 + 0.299871i) q^{94} +(3.96012 + 2.54810i) q^{95} +(19.0693 + 12.2551i) q^{96} +(-9.91281 - 1.42525i) q^{97} +(-3.94125 - 6.13270i) q^{98} +(-0.414009 - 0.906553i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 100 q - 14 q^{4} - 9 q^{5} - 18 q^{6} - 12 q^{9}+O(q^{10}) \) 100 * q - 14 * q^4 - 9 * q^5 - 18 * q^6 - 12 * q^9	\( 100 q - 14 q^{4} - 9 q^{5} - 18 q^{6} - 12 q^{9} - 13 q^{10} - 26 q^{11} - 26 q^{14} - 10 q^{15} - 18 q^{16} - 14 q^{19} + 49 q^{20} - 22 q^{21} - 68 q^{24} + 21 q^{25} - 42 q^{26} - 24 q^{29} + 19 q^{30} - 12 q^{31} + 8 q^{34} - 37 q^{35} - 10 q^{36} + 14 q^{39} - q^{40} + 8 q^{41} + 166 q^{44} - 42 q^{45} - 18 q^{46} + 32 q^{49} - 23 q^{50} - 22 q^{51} + 116 q^{54} + 27 q^{55} - 116 q^{56} + 50 q^{59} + 123 q^{60} - 38 q^{61} + 10 q^{64} + 76 q^{65} - 28 q^{66} + 80 q^{69} + 102 q^{70} - 110 q^{71} + 22 q^{74} + 6 q^{75} + 4 q^{76} + 42 q^{79} + 18 q^{80} + 204 q^{81} + 56 q^{84} - 121 q^{85} + 132 q^{86} - 66 q^{89} - 198 q^{90} + 76 q^{91} - 70 q^{94} - 74 q^{95} + 236 q^{96} - 60 q^{99}+O(q^{100}) \) 100 * q - 14 * q^4 - 9 * q^5 - 18 * q^6 - 12 * q^9 - 13 * q^10 - 26 * q^11 - 26 * q^14 - 10 * q^15 - 18 * q^16 - 14 * q^19 + 49 * q^20 - 22 * q^21 - 68 * q^24 + 21 * q^25 - 42 * q^26 - 24 * q^29 + 19 * q^30 - 12 * q^31 + 8 * q^34 - 37 * q^35 - 10 * q^36 + 14 * q^39 - q^40 + 8 * q^41 + 166 * q^44 - 42 * q^45 - 18 * q^46 + 32 * q^49 - 23 * q^50 - 22 * q^51 + 116 * q^54 + 27 * q^55 - 116 * q^56 + 50 * q^59 + 123 * q^60 - 38 * q^61 + 10 * q^64 + 76 * q^65 - 28 * q^66 + 80 * q^69 + 102 * q^70 - 110 * q^71 + 22 * q^74 + 6 * q^75 + 4 * q^76 + 42 * q^79 + 18 * q^80 + 204 * q^81 + 56 * q^84 - 121 * q^85 + 132 * q^86 - 66 * q^89 - 198 * q^90 + 76 * q^91 - 70 * q^94 - 74 * q^95 + 236 * q^96 - 60 * q^99

Introduction

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