LMFDB - Embedded newform 546.2.bu.b.71.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [546,2,Mod(71,546)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(546, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 0, 5]))

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

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

chi := DirichletCharacter("546.71");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 546 = 2 \cdot 3 \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	546.bu (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:	$4.35983195036$
Analytic rank:	$0$
Dimension:	$56$
Relative dimension:	$14$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			71.3
Character	$\chi$	$=$	546.71
Dual form			546.2.bu.b.323.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.965926 + 0.258819i) q^{2} +(-0.211319 - 1.71911i) q^{3} +(0.866025 - 0.500000i) q^{4} +(0.0940280 + 0.0940280i) q^{5} +(0.649057 + 1.60584i) q^{6} +(-0.258819 + 0.965926i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(-2.91069 + 0.726562i) q^{9} +O(q^{10})$	\(q+(-0.965926 + 0.258819i) q^{2} +(-0.211319 - 1.71911i) q^{3} +(0.866025 - 0.500000i) q^{4} +(0.0940280 + 0.0940280i) q^{5} +(0.649057 + 1.60584i) q^{6} +(-0.258819 + 0.965926i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(-2.91069 + 0.726562i) q^{9} +(-0.115160 - 0.0664879i) q^{10} +(-0.597984 - 2.23171i) q^{11} +(-1.04256 - 1.38313i) q^{12} +(1.75854 - 3.14762i) q^{13} -1.00000i q^{14} +(0.141775 - 0.181515i) q^{15} +(0.500000 - 0.866025i) q^{16} +(-0.998045 - 1.72867i) q^{17} +(2.62346 - 1.45515i) q^{18} +(-3.63980 - 0.975282i) q^{19} +(0.128445 + 0.0344166i) q^{20} +(1.71523 + 0.240820i) q^{21} +(1.15522 + 2.00089i) q^{22} +(0.925009 - 1.60216i) q^{23} +(1.36502 + 1.06617i) q^{24} -4.98232i q^{25} +(-0.883958 + 3.49551i) q^{26} +(1.86412 + 4.85026i) q^{27} +(0.258819 + 0.965926i) q^{28} +(-4.64426 - 2.68136i) q^{29} +(-0.0899645 + 0.212024i) q^{30} +(-3.47227 + 3.47227i) q^{31} +(-0.258819 + 0.965926i) q^{32} +(-3.71019 + 1.49960i) q^{33} +(1.41145 + 1.41145i) q^{34} +(-0.115160 + 0.0664879i) q^{35} +(-2.15745 + 2.08457i) q^{36} +(-5.91351 + 1.58452i) q^{37} +3.76820 q^{38} +(-5.78273 - 2.35798i) q^{39} -0.132976 q^{40} +(5.86989 - 1.57283i) q^{41} +(-1.71911 + 0.211319i) q^{42} +(-6.57334 + 3.79512i) q^{43} +(-1.63372 - 1.63372i) q^{44} +(-0.342003 - 0.205369i) q^{45} +(-0.478820 + 1.78698i) q^{46} +(-1.38964 + 1.38964i) q^{47} +(-1.59445 - 0.676548i) q^{48} +(-0.866025 - 0.500000i) q^{49} +(1.28952 + 4.81255i) q^{50} +(-2.76086 + 2.08105i) q^{51} +(-0.0508677 - 3.60519i) q^{52} -9.54800i q^{53} +(-3.05595 - 4.20252i) q^{54} +(0.153616 - 0.266070i) q^{55} +(-0.500000 - 0.866025i) q^{56} +(-0.907459 + 6.46332i) q^{57} +(5.17999 + 1.38798i) q^{58} +(-3.63796 - 0.974789i) q^{59} +(0.0320232 - 0.228084i) q^{60} +(-4.39051 - 7.60459i) q^{61} +(2.45526 - 4.25264i) q^{62} +(0.0515367 - 2.99956i) q^{63} -1.00000i q^{64} +(0.461317 - 0.130612i) q^{65} +(3.19564 - 2.40877i) q^{66} +(0.191482 + 0.714619i) q^{67} +(-1.72867 - 0.998045i) q^{68} +(-2.94977 - 1.25163i) q^{69} +(0.0940280 - 0.0940280i) q^{70} +(2.76408 - 10.3157i) q^{71} +(1.54441 - 2.57192i) q^{72} +(4.50799 + 4.50799i) q^{73} +(5.30191 - 3.06106i) q^{74} +(-8.56516 + 1.05286i) q^{75} +(-3.63980 + 0.975282i) q^{76} +2.31043 q^{77} +(6.19598 + 0.780954i) q^{78} +9.50277 q^{79} +(0.128445 - 0.0344166i) q^{80} +(7.94422 - 4.22959i) q^{81} +(-5.26280 + 3.03848i) q^{82} +(4.90518 + 4.90518i) q^{83} +(1.60584 - 0.649057i) q^{84} +(0.0686988 - 0.256387i) q^{85} +(5.36711 - 5.36711i) q^{86} +(-3.62814 + 8.55062i) q^{87} +(2.00089 + 1.15522i) q^{88} +(2.38836 + 8.91348i) q^{89} +(0.383503 + 0.109854i) q^{90} +(2.58522 + 2.51329i) q^{91} -1.85002i q^{92} +(6.70297 + 5.23546i) q^{93} +(0.982621 - 1.70195i) q^{94} +(-0.250540 - 0.433947i) q^{95} +(1.71523 + 0.240820i) q^{96} +(0.719389 + 0.192760i) q^{97} +(0.965926 + 0.258819i) q^{98} +(3.36202 + 6.06133i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 56 q + 8 q^{6} - 24 q^{9}+O(q^{10}) $ 56 * q + 8 * q^6 - 24 * q^9	$ 56 q + 8 q^{6} - 24 q^{9} + 24 q^{10} + 8 q^{11} + 24 q^{13} + 4 q^{15} + 28 q^{16} - 4 q^{17} - 8 q^{18} + 8 q^{19} + 4 q^{21} - 8 q^{23} - 8 q^{24} - 4 q^{26} - 24 q^{27} - 8 q^{30} - 8 q^{31} + 8 q^{33} - 24 q^{34} + 24 q^{35} - 12 q^{36} - 8 q^{37} - 20 q^{39} - 28 q^{41} + 8 q^{44} + 72 q^{45} - 20 q^{46} + 64 q^{50} + 16 q^{54} + 8 q^{55} - 28 q^{56} + 4 q^{58} - 8 q^{59} + 20 q^{60} + 8 q^{61} - 32 q^{62} - 16 q^{63} - 24 q^{65} + 32 q^{66} - 16 q^{69} - 112 q^{71} + 8 q^{73} + 48 q^{74} + 40 q^{75} + 8 q^{76} + 16 q^{79} + 12 q^{81} - 4 q^{83} - 4 q^{84} + 32 q^{85} - 16 q^{86} - 144 q^{87} + 88 q^{89} - 8 q^{90} - 8 q^{91} + 52 q^{93} - 8 q^{94} - 48 q^{95} + 4 q^{96} - 64 q^{97} + 56 q^{99}+O(q^{100}) $ 56 * q + 8 * q^6 - 24 * q^9 + 24 * q^10 + 8 * q^11 + 24 * q^13 + 4 * q^15 + 28 * q^16 - 4 * q^17 - 8 * q^18 + 8 * q^19 + 4 * q^21 - 8 * q^23 - 8 * q^24 - 4 * q^26 - 24 * q^27 - 8 * q^30 - 8 * q^31 + 8 * q^33 - 24 * q^34 + 24 * q^35 - 12 * q^36 - 8 * q^37 - 20 * q^39 - 28 * q^41 + 8 * q^44 + 72 * q^45 - 20 * q^46 + 64 * q^50 + 16 * q^54 + 8 * q^55 - 28 * q^56 + 4 * q^58 - 8 * q^59 + 20 * q^60 + 8 * q^61 - 32 * q^62 - 16 * q^63 - 24 * q^65 + 32 * q^66 - 16 * q^69 - 112 * q^71 + 8 * q^73 + 48 * q^74 + 40 * q^75 + 8 * q^76 + 16 * q^79 + 12 * q^81 - 4 * q^83 - 4 * q^84 + 32 * q^85 - 16 * q^86 - 144 * q^87 + 88 * q^89 - 8 * q^90 - 8 * q^91 + 52 * q^93 - 8 * q^94 - 48 * q^95 + 4 * q^96 - 64 * q^97 + 56 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/546\mathbb{Z}\right)^\times$.

$n$	$157$	$365$	$379$
$\chi(n)$	$1$	$-1$	$e\left(\frac{5}{12}\right)$

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 $

$2$	−0.965926	+	0.258819i	−0.683013	+	0.183013i
$2$	−0.965926	+	0.258819i	−0.683013	+	0.183013i
$3$	−0.211319	−	1.71911i	−0.122005	−	0.992529i
$3$	−0.211319	−	1.71911i	−0.122005	−	0.992529i
$4$	0.866025	−	0.500000i	0.433013	−	0.250000i
$5$	0.0940280	+	0.0940280i	0.0420506	+	0.0420506i	0.727819	−	0.685769i	$-0.240534\pi$
$5$	0.0940280	+	0.0940280i	0.0420506	+	0.0420506i	−0.685769	+	0.727819i	$0.740534\pi$
$6$	0.649057	+	1.60584i	0.264977	+	0.655582i
$7$	−0.258819	+	0.965926i	−0.0978244	+	0.365086i
$7$	−0.258819	+	0.965926i	−0.0978244	+	0.365086i
$8$	−0.707107	+	0.707107i	−0.250000	+	0.250000i
$9$	−2.91069	+	0.726562i	−0.970230	+	0.242187i
$10$	−0.115160	−	0.0664879i	−0.0364169	−	0.0210253i
$11$	−0.597984	−	2.23171i	−0.180299	−	0.672885i	−0.995588	−	0.0938310i	$-0.970089\pi$
$11$	−0.597984	−	2.23171i	−0.180299	−	0.672885i	0.815289	−	0.579054i	$-0.196578\pi$
$12$	−1.04256	−	1.38313i	−0.300962	−	0.399277i
$13$	1.75854	−	3.14762i	0.487732	−	0.872993i
$13$	1.75854	−	3.14762i	0.487732	−	0.872993i
$14$		−	1.00000i		−	0.267261i
$15$	0.141775	−	0.181515i	0.0366061	−	0.0468669i
$16$	0.500000	−	0.866025i	0.125000	−	0.216506i
$17$	−0.998045	−	1.72867i	−0.242062	−	0.419263i	0.719240	−	0.694762i	$-0.244490\pi$
$17$	−0.998045	−	1.72867i	−0.242062	−	0.419263i	−0.961301	+	0.275499i	$0.911157\pi$
$18$	2.62346	−	1.45515i	0.618356	−	0.342981i
$19$	−3.63980	−	0.975282i	−0.835028	−	0.223745i	−0.184122	−	0.982903i	$-0.558944\pi$
$19$	−3.63980	−	0.975282i	−0.835028	−	0.223745i	−0.650906	+	0.759158i	$0.725611\pi$
$20$	0.128445	+	0.0344166i	0.0287211	+	0.00769580i
$21$	1.71523	+	0.240820i	0.374293	+	0.0525513i
$22$	1.15522	+	2.00089i	0.246293	+	0.426592i
$23$	0.925009	−	1.60216i	0.192878	−	0.334074i	−0.753325	−	0.657648i	$-0.771551\pi$
$23$	0.925009	−	1.60216i	0.192878	−	0.334074i	0.946203	+	0.323574i	$0.104885\pi$
$24$	1.36502	+	1.06617i	0.278634	+	0.217631i
$25$		−	4.98232i		−	0.996463i
$26$	−0.883958	+	3.49551i	−0.173358	+	0.685527i
$27$	1.86412	+	4.85026i	0.358751	+	0.933433i
$28$	0.258819	+	0.965926i	0.0489122	+	0.182543i
$29$	−4.64426	−	2.68136i	−0.862417	−	0.497917i	0.00240413	−	0.999997i	$-0.499235\pi$
$29$	−4.64426	−	2.68136i	−0.862417	−	0.497917i	−0.864821	+	0.502081i	$0.832568\pi$
$30$	−0.0899645	+	0.212024i	−0.0164252	+	0.0387100i
$31$	−3.47227	+	3.47227i	−0.623638	+	0.623638i	−0.946460	−	0.322822i	$-0.895369\pi$
$31$	−3.47227	+	3.47227i	−0.623638	+	0.623638i	0.322822	+	0.946460i	$0.395369\pi$
$32$	−0.258819	+	0.965926i	−0.0457532	+	0.170753i
$33$	−3.71019	+	1.49960i	−0.645861	+	0.261047i
$34$	1.41145	+	1.41145i	0.242062	+	0.242062i
$35$	−0.115160	+	0.0664879i	−0.0194657	+	0.0112385i
$36$	−2.15745	+	2.08457i	−0.359575	+	0.347428i
$37$	−5.91351	+	1.58452i	−0.972175	+	0.260493i	−0.709746	−	0.704458i	$-0.751190\pi$
$37$	−5.91351	+	1.58452i	−0.972175	+	0.260493i	−0.262429	+	0.964951i	$0.584524\pi$
$38$	3.76820			0.611283
$39$	−5.78273	−	2.35798i	−0.925977	−	0.377579i
$40$	−0.132976			−0.0210253
$41$	5.86989	−	1.57283i	0.916724	−	0.245635i	0.230539	−	0.973063i	$-0.425951\pi$
$41$	5.86989	−	1.57283i	0.916724	−	0.245635i	0.686184	+	0.727428i	$0.259284\pi$
$42$	−1.71911	+	0.211319i	−0.265265	+	0.0326072i
$43$	−6.57334	+	3.79512i	−1.00242	+	0.578750i	−0.908965	−	0.416873i	$-0.863126\pi$
$43$	−6.57334	+	3.79512i	−1.00242	+	0.578750i	−0.0934596	+	0.995623i	$0.529793\pi$
$44$	−1.63372	−	1.63372i	−0.246293	−	0.246293i
$45$	−0.342003	−	0.205369i	−0.0509829	−	0.0306146i
$46$	−0.478820	+	1.78698i	−0.0705982	+	0.263476i
$47$	−1.38964	+	1.38964i	−0.202699	+	0.202699i	−0.801156	−	0.598456i	$-0.795781\pi$
$47$	−1.38964	+	1.38964i	−0.202699	+	0.202699i	0.598456	+	0.801156i	$0.295781\pi$
$48$	−1.59445	−	0.676548i	−0.230140	−	0.0976513i
$49$	−0.866025	−	0.500000i	−0.123718	−	0.0714286i
$50$	1.28952	+	4.81255i	0.182365	+	0.680597i
$51$	−2.76086	+	2.08105i	−0.386598	+	0.291405i
$52$	−0.0508677	−	3.60519i	−0.00705408	−	0.499950i
$53$		−	9.54800i		−	1.31152i	−0.754970	−	0.655760i	$-0.772348\pi$
$53$		−	9.54800i		−	1.31152i	0.754970	−	0.655760i	$-0.227652\pi$
$54$	−3.05595	−	4.20252i	−0.415862	−	0.571891i
$55$	0.153616	−	0.266070i	0.0207135	−	0.0358769i
$56$	−0.500000	−	0.866025i	−0.0668153	−	0.115728i
$57$	−0.907459	+	6.46332i	−0.120196	+	0.856088i
$58$	5.17999	+	1.38798i	0.680167	+	0.182250i
$59$	−3.63796	−	0.974789i	−0.473622	−	0.126907i	0.0141091	−	0.999900i	$-0.495509\pi$
$59$	−3.63796	−	0.974789i	−0.473622	−	0.126907i	−0.487731	+	0.872994i	$0.662175\pi$
$60$	0.0320232	−	0.228084i	0.00413418	−	0.0294455i
$61$	−4.39051	−	7.60459i	−0.562148	−	0.973668i	−0.997309	−	0.0733156i	$-0.976642\pi$
$61$	−4.39051	−	7.60459i	−0.562148	−	0.973668i	0.435161	−	0.900353i	$-0.356691\pi$
$62$	2.45526	−	4.25264i	0.311819	−	0.540086i
$63$	0.0515367	−	2.99956i	0.00649301	−	0.377909i
$64$		−	1.00000i		−	0.125000i
$65$	0.461317	−	0.130612i	0.0572193	−	0.0162005i
$66$	3.19564	−	2.40877i	0.393356	−	0.296499i
$67$	0.191482	+	0.714619i	0.0233932	+	0.0873046i	0.976636	−	0.214902i	$-0.0689433\pi$
$67$	0.191482	+	0.714619i	0.0233932	+	0.0873046i	−0.953242	+	0.302207i	$0.902277\pi$
$68$	−1.72867	−	0.998045i	−0.209631	−	0.121031i
$69$	−2.94977	−	1.25163i	−0.355111	−	0.150678i
$70$	0.0940280	−	0.0940280i	0.0112385	−	0.0112385i
$71$	2.76408	−	10.3157i	0.328036	−	1.22425i	−0.583188	−	0.812337i	$-0.698195\pi$
$71$	2.76408	−	10.3157i	0.328036	−	1.22425i	0.911224	−	0.411911i	$-0.135138\pi$
$72$	1.54441	−	2.57192i	0.182011	−	0.303104i
$73$	4.50799	+	4.50799i	0.527620	+	0.527620i	0.919862	−	0.392242i	$-0.128300\pi$
$73$	4.50799	+	4.50799i	0.527620	+	0.527620i	−0.392242	+	0.919862i	$0.628300\pi$
$74$	5.30191	−	3.06106i	0.616334	−	0.355841i
$75$	−8.56516	+	1.05286i	−0.989019	+	0.121574i
$76$	−3.63980	+	0.975282i	−0.417514	+	0.111873i
$77$	2.31043			0.263298
$78$	6.19598	+	0.780954i	0.701556	+	0.0884256i
$79$	9.50277			1.06914			0.534572	−	0.845123i	$-0.320473\pi$
$79$	9.50277			1.06914			0.534572	+	0.845123i	$0.320473\pi$
$80$	0.128445	−	0.0344166i	0.0143606	−	0.00384790i
$81$	7.94422	−	4.22959i	0.882691	−	0.469955i
$82$	−5.26280	+	3.03848i	−0.581179	+	0.335544i
$83$	4.90518	+	4.90518i	0.538414	+	0.538414i	0.923063	−	0.384649i	$-0.125678\pi$
$83$	4.90518	+	4.90518i	0.538414	+	0.538414i	−0.384649	+	0.923063i	$0.625678\pi$
$84$	1.60584	−	0.649057i	0.175212	−	0.0708180i
$85$	0.0686988	−	0.256387i	0.00745143	−	0.0278091i
$86$	5.36711	−	5.36711i	0.578750	−	0.578750i
$87$	−3.62814	+	8.55062i	−0.388978	+	0.916722i
$88$	2.00089	+	1.15522i	0.213296	+	0.123147i
$89$	2.38836	+	8.91348i	0.253166	+	0.944827i	0.969102	+	0.246661i	$0.0793335\pi$
$89$	2.38836	+	8.91348i	0.253166	+	0.944827i	−0.715936	+	0.698166i	$0.754000\pi$
$90$	0.383503	+	0.109854i	0.0404248	+	0.0115797i
$91$	2.58522	+	2.51329i	0.271005	+	0.263464i
$92$		−	1.85002i		−	0.192878i
$93$	6.70297	+	5.23546i	0.695066	+	0.542892i
$94$	0.982621	−	1.70195i	0.101350	−	0.175543i
$95$	−0.250540	−	0.433947i	−0.0257048	−	0.0445220i
$96$	1.71523	+	0.240820i	0.175060	+	0.0245786i
$97$	0.719389	+	0.192760i	0.0730429	+	0.0195718i	0.295155	−	0.955449i	$-0.404629\pi$
$97$	0.719389	+	0.192760i	0.0730429	+	0.0195718i	−0.222113	+	0.975021i	$0.571295\pi$
$98$	0.965926	+	0.258819i	0.0975732	+	0.0261447i
$99$	3.36202	+	6.06133i	0.337896	+	0.609187i
$100$	−2.49116	−	4.31481i	−0.249116	−	0.431481i
$101$	5.62877	−	9.74931i	0.560083	−	0.970092i	−0.437405	−	0.899264i	$-0.644103\pi$
$101$	5.62877	−	9.74931i	0.560083	−	0.970092i	0.997489	−	0.0708280i	$-0.0225641\pi$
$102$	2.12817	−	2.72470i	0.210721	−	0.269786i
$103$			6.36326i			0.626991i	0.949590	+	0.313495i	$0.101500\pi$
$103$			6.36326i			0.626991i	−0.949590	+	0.313495i	$0.898500\pi$
$104$	0.982227	+	3.46918i	0.0963153	+	0.340181i
$105$	0.138636	+	0.183923i	0.0135294	+	0.0179491i
$106$	2.47121	+	9.22266i	0.240025	+	0.895784i
$107$	−8.62988	−	4.98246i	−0.834282	−	0.481673i	0.0210348	−	0.999779i	$-0.493304\pi$
$107$	−8.62988	−	4.98246i	−0.834282	−	0.481673i	−0.855316	+	0.518106i	$0.826637\pi$
$108$	4.03951	+	3.26839i	0.388702	+	0.314501i
$109$	5.09609	−	5.09609i	0.488117	−	0.488117i	−0.419595	−	0.907712i	$-0.637828\pi$
$109$	5.09609	−	5.09609i	0.488117	−	0.488117i	0.907712	+	0.419595i	$0.137828\pi$
$110$	−0.0795174	+	0.296763i	−0.00758168	+	0.0282952i
$111$	3.97360	+	9.83114i	0.377158	+	0.933131i
$112$	0.707107	+	0.707107i	0.0668153	+	0.0668153i
$113$	−4.13893	+	2.38961i	−0.389358	+	0.224796i	−0.681882	−	0.731462i	$-0.738838\pi$
$113$	−4.13893	+	2.38961i	−0.389358	+	0.224796i	0.292524	+	0.956258i	$0.405505\pi$
$114$	−0.796292	−	6.47796i	−0.0745796	−	0.606716i
$115$	0.237625	−	0.0636714i	0.0221587	−	0.00593739i
$116$	−5.36273			−0.497917
$117$	−2.83163	+	10.4394i	−0.261784	+	0.965126i
$118$	3.76629			0.346716
$119$	1.92808	−	0.516626i	0.176746	−	0.0473591i
$120$	0.0281003	+	0.228600i	0.00256519	+	0.0208682i
$121$	4.90335	−	2.83095i	0.445759	−	0.257359i
$122$	6.20912	+	6.20912i	0.562148	+	0.562148i
$123$	−3.94430	−	9.75863i	−0.355645	−	0.879906i
$124$	−1.27094	+	4.74321i	−0.114134	+	0.425953i
$125$	0.938618	−	0.938618i	0.0839525	−	0.0839525i
$126$	0.726562	+	2.91069i	0.0647273	+	0.259305i
$127$	−8.91640	−	5.14789i	−0.791203	−	0.456801i	0.0491832	−	0.998790i	$-0.484338\pi$
$127$	−8.91640	−	5.14789i	−0.791203	−	0.456801i	−0.840386	+	0.541989i	$0.817672\pi$
$128$	0.258819	+	0.965926i	0.0228766	+	0.0853766i
$129$	7.91330	+	10.4983i	0.696727	+	0.924325i
$130$	−0.411793	+	0.245559i	−0.0361166	+	0.0215370i
$131$			12.9667i			1.13291i	0.824093	+	0.566455i	$0.191685\pi$
$131$			12.9667i			1.13291i	−0.824093	+	0.566455i	$0.808315\pi$
$132$	−2.46332	+	3.15379i	−0.214404	+	0.274502i
$133$	1.88410	−	3.26336i	0.163372	−	0.282969i
$134$	−0.369914	−	0.640710i	−0.0319557	−	0.0553489i
$135$	−0.280781	+	0.631341i	−0.0241657	+	0.0543371i
$136$	1.92808	+	0.516626i	0.165331	+	0.0443003i
$137$	20.6637	+	5.53683i	1.76542	+	0.473043i	0.987805	−	0.155695i	$-0.0497616\pi$
$137$	20.6637	+	5.53683i	1.76542	+	0.473043i	0.777617	+	0.628738i	$0.216428\pi$
$138$	3.17320	+	0.445522i	0.270121	+	0.0379254i
$139$	−6.94343	−	12.0264i	−0.588934	−	1.02006i	−0.994372	−	0.105942i	$-0.966214\pi$
$139$	−6.94343	−	12.0264i	−0.588934	−	1.02006i	0.405438	−	0.914123i	$-0.367119\pi$
$140$	−0.0664879	+	0.115160i	−0.00561925	+	0.00973283i
$141$	2.68260	+	2.09528i	0.225915	+	0.176455i
$142$			10.6796i			0.896212i
$143$	−8.07615	−	2.04233i	−0.675362	−	0.170788i
$144$	−0.826123	+	2.88401i	−0.0688436	+	0.240334i
$145$	−0.184567	−	0.688813i	−0.0153275	−	0.0572028i
$146$	−5.52113	−	3.18763i	−0.456932	−	0.263810i
$147$	−0.676548	+	1.59445i	−0.0558007	+	0.131508i
$148$	−4.32899	+	4.32899i	−0.355841	+	0.355841i
$149$	4.73105	−	17.6565i	0.387583	−	1.44648i	−0.446472	−	0.894798i	$-0.647320\pi$
$149$	4.73105	−	17.6565i	0.387583	−	1.44648i	0.834055	−	0.551681i	$-0.186014\pi$
$150$	8.00081	−	3.23381i	0.653263	−	0.264039i
$151$	16.7823	+	16.7823i	1.36572	+	1.36572i	0.866437	+	0.499287i	$0.166405\pi$
$151$	16.7823	+	16.7823i	1.36572	+	1.36572i	0.499287	+	0.866437i	$0.333595\pi$
$152$	3.26336	−	1.88410i	0.264693	−	0.152821i
$153$	4.16098	+	4.30646i	0.336395	+	0.348157i
$154$	−2.23171	+	0.597984i	−0.179836	+	0.0481869i
$155$	−0.652981			−0.0524487
$156$	−6.18698	+	0.849293i	−0.495355	+	0.0679979i
$157$	11.7291			0.936082			0.468041	−	0.883707i	$-0.344960\pi$
$157$	11.7291			0.936082			0.468041	+	0.883707i	$0.344960\pi$
$158$	−9.17897	+	2.45950i	−0.730240	+	0.195667i
$159$	−16.4141	+	2.01768i	−1.30172	+	0.160012i
$160$	−0.115160	+	0.0664879i	−0.00910422	+	0.00525633i
$161$	1.30816	+	1.30816i	0.103098	+	0.103098i
$162$	−6.57882	+	6.14159i	−0.516881	+	0.482529i
$163$	−2.86294	+	10.6847i	−0.224243	+	0.836886i	0.758463	+	0.651716i	$0.225950\pi$
$163$	−2.86294	+	10.6847i	−0.224243	+	0.836886i	−0.982706	+	0.185171i	$0.940716\pi$
$164$	4.29706	−	4.29706i	0.335544	−	0.335544i
$165$	−0.489866	−	0.207857i	−0.0381360	−	0.0161816i
$166$	−6.00760	−	3.46849i	−0.466280	−	0.269207i
$167$	3.42526	+	12.7832i	0.265055	+	0.989197i	0.962217	+	0.272284i	$0.0877790\pi$
$167$	3.42526	+	12.7832i	0.265055	+	0.989197i	−0.697162	+	0.716913i	$0.745554\pi$
$168$	−1.38313	+	1.04256i	−0.106711	+	0.0804355i
$169$	−6.81505	−	11.0705i	−0.524235	−	0.851574i
$170$			0.265432i			0.0203577i
$171$	11.3029	+	0.194201i	0.864357	+	0.0148509i
$172$	−3.79512	+	6.57334i	−0.289375	+	0.501212i
$173$	10.8531	+	18.7981i	0.825144	+	1.42919i	0.901809	+	0.432135i	$0.142240\pi$
$173$	10.8531	+	18.7981i	0.825144	+	1.42919i	−0.0766643	+	0.997057i	$0.524427\pi$
$174$	1.29145	−	9.19829i	0.0979048	−	0.697321i
$175$	4.81255	+	1.28952i	0.363795	+	0.0974784i
$176$	−2.23171	−	0.597984i	−0.168221	−	0.0450748i
$177$	−0.907000	+	6.46005i	−0.0681743	+	0.485567i
$178$	−4.61396	−	7.99161i	−0.345831	−	0.598996i
$179$	5.54875	−	9.61072i	0.414733	−	0.718339i	−0.580667	−	0.814141i	$-0.697208\pi$
$179$	5.54875	−	9.61072i	0.414733	−	0.718339i	0.995400	+	0.0958020i	$0.0305415\pi$
$180$	−0.398868	−	0.00685313i	−0.0297299	−	0.000510802i
$181$		−	10.5103i		−	0.781225i	−0.920555	−	0.390613i	$-0.872263\pi$
$181$		−	10.5103i		−	0.781225i	0.920555	−	0.390613i	$-0.127737\pi$
$182$	−3.14762	−	1.75854i	−0.233317	−	0.130352i
$183$	−12.1453	+	9.15478i	−0.897810	+	0.676741i
$184$	0.478820	+	1.78698i	0.0352991	+	0.131738i
$185$	−0.705025	−	0.407046i	−0.0518345	−	0.0299266i
$186$	−7.82961	−	3.32221i	−0.574095	−	0.243596i
$187$	−3.26106	+	3.26106i	−0.238472	+	0.238472i
$188$	−0.508642	+	1.89828i	−0.0370965	+	0.138446i
$189$	−5.16746	+	0.545266i	−0.375878	+	0.0396623i
$190$	0.354316	+	0.354316i	0.0257048	+	0.0257048i
$191$	13.1542	−	7.59456i	0.951803	−	0.549523i	0.0581621	−	0.998307i	$-0.481476\pi$
$191$	13.1542	−	7.59456i	0.951803	−	0.549523i	0.893640	+	0.448784i	$0.148143\pi$
$192$	−1.71911	+	0.211319i	−0.124066	+	0.0152506i
$193$	15.9546	−	4.27502i	1.14844	−	0.307722i	0.366098	−	0.930576i	$-0.380694\pi$
$193$	15.9546	−	4.27502i	1.14844	−	0.307722i	0.782338	+	0.622854i	$0.214027\pi$
$194$	−0.744767			−0.0534711
$195$	−0.322022	−	0.765455i	−0.0230605	−	0.0548153i
$196$	−1.00000			−0.0714286
$197$	−11.1209	+	2.97984i	−0.792333	+	0.212305i	−0.632215	−	0.774793i	$-0.717854\pi$
$197$	−11.1209	+	2.97984i	−0.792333	+	0.212305i	−0.160118	+	0.987098i	$0.551187\pi$
$198$	−4.81625	−	4.98464i	−0.342276	−	0.354243i
$199$	−4.64562	+	2.68215i	−0.329319	+	0.190133i	−0.655539	−	0.755161i	$-0.727558\pi$
$199$	−4.64562	+	2.68215i	−0.329319	+	0.190133i	0.326220	+	0.945294i	$0.394225\pi$
$200$	3.52303	+	3.52303i	0.249116	+	0.249116i
$201$	1.18805	−	0.480191i	0.0837983	−	0.0338701i
$202$	−2.91366	+	10.8739i	−0.205005	+	0.765088i
$203$	3.79202	−	3.79202i	0.266148	−	0.266148i
$204$	−1.35045	+	3.18267i	−0.0945505	+	0.222832i
$205$	0.699825	+	0.404044i	0.0488779	+	0.0282197i
$206$	−1.64693	−	6.14644i	−0.114747	−	0.428243i
$207$	−1.52834	+	5.33548i	−0.106227	+	0.370841i
$208$	−1.84665	−	3.09675i	−0.128042	−	0.214721i
$209$			8.70617i			0.602219i
$210$	−0.181515	−	0.141775i	−0.0125257	−	0.00978339i
$211$	9.91958	−	17.1812i	0.682892	−	1.18280i	−0.291202	−	0.956662i	$-0.594055\pi$
$211$	9.91958	−	17.1812i	0.682892	−	1.18280i	0.974094	−	0.226143i	$-0.0726115\pi$
$212$	−4.77400	−	8.26881i	−0.327880	−	0.567905i
$213$	−18.3179	−	2.57186i	−1.25512	−	0.176221i
$214$	9.62538	+	2.57911i	0.657977	+	0.176304i
$215$	−0.974925	−	0.261230i	−0.0664893	−	0.0178158i
$216$	−4.74779	−	2.11152i	−0.323046	−	0.143671i
$217$	−2.45526	−	4.25264i	−0.166674	−	0.288688i
$218$	−3.60348	+	6.24141i	−0.244058	+	0.422722i
$219$	6.79711	−	8.70235i	0.459306	−	0.588051i
$220$		−	0.307232i		−	0.0207135i
$221$	−7.19629	+	0.101536i	−0.484075	+	0.00683008i
$222$	−6.38269	−	8.46771i	−0.428378	−	0.568315i
$223$	−4.51597	−	16.8538i	−0.302412	−	1.12862i	−0.935150	−	0.354251i	$-0.884736\pi$
$223$	−4.51597	−	16.8538i	−0.302412	−	1.12862i	0.632738	−	0.774366i	$-0.281931\pi$
$224$	−0.866025	−	0.500000i	−0.0578638	−	0.0334077i
$225$	3.61996	+	14.5020i	0.241331	+	0.966798i
$226$	3.37942	−	3.37942i	0.224796	−	0.224796i
$227$	2.87165	−	10.7171i	0.190598	−	0.711321i	−0.802765	−	0.596296i	$-0.796638\pi$
$227$	2.87165	−	10.7171i	0.190598	−	0.711321i	0.993363	−	0.115025i	$-0.0366948\pi$
$228$	2.44578	+	6.05113i	0.161976	+	0.400746i
$229$	2.78807	+	2.78807i	0.184241	+	0.184241i	0.793201	−	0.608960i	$-0.208413\pi$
$229$	2.78807	+	2.78807i	0.184241	+	0.184241i	−0.608960	+	0.793201i	$0.708413\pi$
$230$	−0.213049	+	0.123004i	−0.0140480	+	0.00811063i
$231$	−0.488239	−	3.97189i	−0.0321237	−	0.261331i
$232$	5.17999	−	1.38798i	0.340083	−	0.0911250i
$233$	0.467755			0.0306436			0.0153218	−	0.999883i	$-0.495123\pi$
$233$	0.467755			0.0306436			0.0153218	+	0.999883i	$0.495123\pi$
$234$	0.0332192	−	10.8166i	0.00217161	−	0.707103i
$235$	−0.261330			−0.0170473
$236$	−3.63796	+	0.974789i	−0.236811	+	0.0634533i
$237$	−2.00812	−	16.3363i	−0.130441	−	1.06116i
$238$	−1.72867	+	0.998045i	−0.112053	+	0.0646937i
$239$	−12.6716	−	12.6716i	−0.819657	−	0.819657i	0.166401	−	0.986058i	$-0.446785\pi$
$239$	−12.6716	−	12.6716i	−0.819657	−	0.819657i	−0.986058	+	0.166401i	$0.946785\pi$
$240$	−0.0863089	−	0.213538i	−0.00557121	−	0.0137838i
$241$	5.24682	−	19.5814i	0.337977	−	1.26135i	−0.562628	−	0.826710i	$-0.690210\pi$
$241$	5.24682	−	19.5814i	0.337977	−	1.26135i	0.900605	−	0.434638i	$-0.143124\pi$
$242$	−4.00357	+	4.00357i	−0.257359	+	0.257359i
$243$	−8.94990	−	12.7632i	−0.574137	−	0.818760i
$244$	−7.60459	−	4.39051i	−0.486834	−	0.281074i
$245$	−0.0344166	−	0.128445i	−0.00219880	−	0.00820603i
$246$	6.33562	+	8.40526i	0.403944	+	0.535900i
$247$	−9.47057	+	9.74164i	−0.602598	+	0.619846i
$248$		−	4.91053i		−	0.311819i
$249$	7.39600	−	9.46912i	0.468702	−	0.600081i
$250$	−0.663703	+	1.14957i	−0.0419763	+	0.0727050i
$251$	6.84702	+	11.8594i	0.432180	+	0.748558i	0.997061	−	0.0766147i	$-0.0244111\pi$
$251$	6.84702	+	11.8594i	0.432180	+	0.748558i	−0.564881	+	0.825173i	$0.691078\pi$
$252$	−1.45515	−	2.62346i	−0.0916656	−	0.165263i
$253$	−4.12870	−	1.10628i	−0.259569	−	0.0695514i
$254$	9.94495	+	2.66474i	0.624002	+	0.167201i
$255$	−0.455276	−	0.0639213i	−0.0285105	−	0.00400291i
$256$	−0.500000	−	0.866025i	−0.0312500	−	0.0541266i
$257$	−13.4900	+	23.3654i	−0.841484	+	1.45749i	0.0471552	+	0.998888i	$0.484984\pi$
$257$	−13.4900	+	23.3654i	−0.841484	+	1.45749i	−0.888640	+	0.458606i	$0.848349\pi$
$258$	−10.3608	−	8.09248i	−0.645037	−	0.503816i
$259$		−	6.12211i		−	0.380410i
$260$	0.334206	−	0.343772i	0.0207266	−	0.0213198i
$261$	15.4662	+	4.43027i	0.957331	+	0.274227i
$262$	−3.35604	−	12.5249i	−0.207337	−	0.773792i
$263$	−20.6357	−	11.9140i	−1.27245	−	0.734650i	−0.297003	−	0.954877i	$-0.595987\pi$
$263$	−20.6357	−	11.9140i	−1.27245	−	0.734650i	−0.975449	+	0.220226i	$0.929320\pi$
$264$	1.56312	−	3.68388i	0.0962033	−	0.226727i
$265$	0.897780	−	0.897780i	0.0551502	−	0.0551502i
$266$	−0.975282	+	3.63980i	−0.0597984	+	0.223171i
$267$	14.8186	−	5.98944i	0.906881	−	0.366548i
$268$	0.523138	+	0.523138i	0.0319557	+	0.0319557i
$269$	−19.9488	+	11.5174i	−1.21630	+	0.702230i	−0.964124	−	0.265452i	$-0.914479\pi$
$269$	−19.9488	+	11.5174i	−1.21630	+	0.702230i	−0.252174	+	0.967682i	$0.581145\pi$
$270$	0.107810	−	0.682499i	0.00656112	−	0.0415356i
$271$	−10.8574	+	2.90924i	−0.659542	+	0.176724i	−0.573039	−	0.819528i	$-0.694236\pi$
$271$	−10.8574	+	2.90924i	−0.659542	+	0.176724i	−0.0865025	+	0.996252i	$0.527569\pi$
$272$	−1.99609			−0.121031
$273$	3.77431	−	4.97540i	0.228432	−	0.301125i
$274$	−21.3927			−1.29238
$275$	−11.1191	+	2.97935i	−0.670505	+	0.179661i
$276$	−3.18039	+	0.390944i	−0.191437	+	0.0235321i
$277$	−3.26051	+	1.88245i	−0.195905	+	0.113106i	−0.594744	−	0.803915i	$-0.702747\pi$
$277$	−3.26051	+	1.88245i	−0.195905	+	0.113106i	0.398839	+	0.917021i	$0.369413\pi$
$278$	9.81950	+	9.81950i	0.588934	+	0.588934i
$279$	7.58387	−	12.6295i	0.454035	−	0.756109i
$280$	0.0344166	−	0.128445i	0.00205679	−	0.00767604i
$281$	−3.00527	+	3.00527i	−0.179280	+	0.179280i	−0.791042	−	0.611762i	$-0.790461\pi$
$281$	−3.00527	+	3.00527i	−0.179280	+	0.179280i	0.611762	+	0.791042i	$0.290461\pi$
$282$	−3.13349	−	1.32958i	−0.186597	−	0.0791754i
$283$	20.0131	+	11.5546i	1.18966	+	0.686849i	0.958229	−	0.286003i	$-0.0923267\pi$
$283$	20.0131	+	11.5546i	1.18966	+	0.686849i	0.231429	+	0.972852i	$0.425660\pi$
$284$	−2.76408	−	10.3157i	−0.164018	−	0.612124i
$285$	−0.693060	+	0.522407i	−0.0410533	+	0.0309447i
$286$	8.32956	−	0.117526i	0.492537	−	0.00694948i
$287$			6.07696i			0.358712i
$288$	0.0515367	−	2.99956i	0.00303683	−	0.176751i
$289$	6.50781	−	11.2719i	0.382812	−	0.663051i
$290$	0.356556	+	0.617573i	0.0209377	+	0.0362652i
$291$	0.179355	−	1.27744i	0.0105140	−	0.0748851i
$292$	6.15802	+	1.65004i	0.360371	+	0.0965611i
$293$	−5.48386	−	1.46940i	−0.320371	−	0.0858431i	0.0950499	−	0.995473i	$-0.469699\pi$
$293$	−5.48386	−	1.46940i	−0.320371	−	0.0858431i	−0.415421	+	0.909629i	$0.636366\pi$
$294$	0.240820	−	1.71523i	0.0140449	−	0.100034i
$295$	−0.250413	−	0.433728i	−0.0145796	−	0.0252526i
$296$	3.06106	−	5.30191i	0.177920	−	0.308167i
$297$	9.70965	−	7.06056i	0.563411	−	0.409695i
$298$			18.2794i			1.05890i
$299$	−3.41634	−	5.72905i	−0.197572	−	0.331320i
$300$	−6.89122	+	5.19438i	−0.397865	+	0.299898i
$301$	−1.96450	−	7.33160i	−0.113232	−	0.422587i
$302$	−20.5540	−	11.8669i	−1.18275	−	0.682862i
$303$	−17.9496	−	7.61626i	−1.03118	−	0.437543i
$304$	−2.66452	+	2.66452i	−0.152821	+	0.152821i
$305$	0.302213	−	1.12788i	0.0173047	−	0.0645820i
$306$	−5.13380	−	3.08278i	−0.293480	−	0.176231i
$307$	−4.15580	−	4.15580i	−0.237184	−	0.237184i	0.578499	−	0.815683i	$-0.303639\pi$
$307$	−4.15580	−	4.15580i	−0.237184	−	0.237184i	−0.815683	+	0.578499i	$0.803639\pi$
$308$	2.00089	−	1.15522i	0.114012	−	0.0658246i
$309$	10.9392	−	1.34468i	0.622307	−	0.0764961i
$310$	0.630731	−	0.169004i	0.0358231	−	0.00959878i
$311$	−12.4700			−0.707110			−0.353555	−	0.935414i	$-0.615027\pi$
$311$	−12.4700			−0.707110			−0.353555	+	0.935414i	$0.615027\pi$
$312$	5.75635	−	2.42166i	0.325889	−	0.137100i
$313$	22.2305			1.25654			0.628271	−	0.777994i	$-0.283763\pi$
$313$	22.2305			1.25654			0.628271	+	0.777994i	$0.283763\pi$
$314$	−11.3294	+	3.03571i	−0.639356	+	0.171315i
$315$	0.286888	−	0.277197i	0.0161643	−	0.0156183i
$316$	8.22964	−	4.75138i	0.462953	−	0.267286i
$317$	19.7183	+	19.7183i	1.10749	+	1.10749i	0.993479	+	0.114013i	$0.0363705\pi$
$317$	19.7183	+	19.7183i	1.10749	+	1.10749i	0.114013	+	0.993479i	$0.463629\pi$
$318$	15.3326	−	6.19720i	0.859808	−	0.347522i
$319$	−3.20682	+	11.9680i	−0.179548	+	0.670081i
$320$	0.0940280	−	0.0940280i	0.00525633	−	0.00525633i
$321$	−6.74175	+	15.8886i	−0.376288	+	0.886816i
$322$	−1.60216	−	0.925009i	−0.0892851	−	0.0515488i
$323$	1.94675	+	7.26537i	0.108320	+	0.404256i
$324$	4.76510	−	7.63504i	0.264728	−	0.424169i
$325$	−15.6825	−	8.76162i	−0.869906	−	0.486007i
$326$		−	11.0616i		−	0.612643i
$327$	−9.83765	−	7.68385i	−0.544023	−	0.424918i
$328$	−3.03848	+	5.26280i	−0.167772	+	0.290590i
$329$	−0.982621	−	1.70195i	−0.0541737	−	0.0938315i
$330$	0.526972	+	0.0739876i	0.0290089	+	0.00407288i
$331$	12.6927	+	3.40101i	0.697656	+	0.186936i	0.590180	−	0.807271i	$-0.299057\pi$
$331$	12.6927	+	3.40101i	0.697656	+	0.186936i	0.107476	+	0.994208i	$0.465723\pi$
$332$	6.70061	+	1.79542i	0.367744	+	0.0985366i
$333$	16.0611	−	8.90857i	0.880144	−	0.488187i
$334$	−6.61709	−	11.4611i	−0.362071	−	0.627126i
$335$	−0.0491896	+	0.0851989i	−0.00268751	+	0.00465491i
$336$	1.06617	−	1.36502i	0.0581644	−	0.0744680i
$337$		−	20.0957i		−	1.09468i	−0.836910	−	0.547340i	$-0.815640\pi$
$337$		−	20.0957i		−	1.09468i	0.836910	−	0.547340i	$-0.184360\pi$
$338$	9.44808	+	8.92938i	0.513908	+	0.485694i
$339$	4.98264	+	6.61031i	0.270620	+	0.359023i
$340$	−0.0686988	−	0.256387i	−0.00372571	−	0.0139046i
$341$	9.82545	+	5.67272i	0.532078	+	0.307195i
$342$	−10.9681	+	2.73783i	−0.593085	+	0.148045i
$343$	0.707107	−	0.707107i	0.0381802	−	0.0381802i
$344$	1.96450	−	7.33160i	0.105919	−	0.395294i
$345$	−0.159673	−	0.395049i	−0.00859651	−	0.0212687i
$346$	−15.3486	−	15.3486i	−0.825144	−	0.825144i
$347$	−4.38979	+	2.53445i	−0.235656	+	0.136056i	−0.613179	−	0.789944i	$-0.710109\pi$
$347$	−4.38979	+	2.53445i	−0.235656	+	0.136056i	0.377522	+	0.926000i	$0.376776\pi$
$348$	1.13325	+	9.21912i	0.0607484	+	0.494197i
$349$	−11.8263	+	3.16885i	−0.633047	+	0.169624i	−0.561052	−	0.827781i	$-0.689603\pi$
$349$	−11.8263	+	3.16885i	−0.633047	+	0.169624i	−0.0719950	+	0.997405i	$0.522937\pi$
$350$	−4.98232			−0.266316
$351$	18.5449	+	2.66184i	0.989855	+	0.142078i
$352$	2.31043			0.123147
$353$	−15.7043	+	4.20795i	−0.835855	+	0.223967i	−0.651267	−	0.758849i	$-0.725762\pi$
$353$	−15.7043	+	4.20795i	−0.835855	+	0.223967i	−0.184589	+	0.982816i	$0.559095\pi$
$354$	−0.795890	−	6.47468i	−0.0423011	−	0.344125i
$355$	1.22987	−	0.710063i	0.0652745	−	0.0376862i
$356$	6.52512	+	6.52512i	0.345831	+	0.345831i
$357$	−1.29558	−	3.20540i	−0.0685692	−	0.169648i
$358$	−2.87225	+	10.7194i	−0.151803	+	0.566536i
$359$	−23.9159	+	23.9159i	−1.26223	+	1.26223i	−0.312225	+	0.950008i	$0.601074\pi$
$359$	−23.9159	+	23.9159i	−1.26223	+	1.26223i	−0.950008	+	0.312225i	$0.898926\pi$
$360$	0.387051	−	0.0966151i	0.0203994	−	0.00509206i
$361$	−4.15750	−	2.40033i	−0.218816	−	0.126333i
$362$	2.72027	+	10.1522i	0.142974	+	0.533587i
$363$	−5.90289	−	7.83117i	−0.309821	−	0.411030i
$364$	3.49551	+	0.883958i	0.183215	+	0.0463320i
$365$			0.847754i			0.0443735i
$366$	9.36207	−	11.9863i	0.489363	−	0.626533i
$367$	−17.9787	+	31.1401i	−0.938483	+	1.62550i	−0.170181	+	0.985413i	$0.554435\pi$
$367$	−17.9787	+	31.1401i	−0.938483	+	1.62550i	−0.768302	+	0.640087i	$0.778898\pi$
$368$	−0.925009	−	1.60216i	−0.0482195	−	0.0835185i
$369$	−15.9427	+	8.84287i	−0.829942	+	0.460341i
$370$	0.786353	+	0.210703i	0.0408805	+	0.0109539i
$371$	9.22266	+	2.47121i	0.478817	+	0.128299i
$372$	8.42267	+	1.18255i	0.436695	+	0.0613126i
$373$	−0.439692	−	0.761569i	−0.0227664	−	0.0394325i	0.854418	−	0.519587i	$-0.173914\pi$
$373$	−0.439692	−	0.761569i	−0.0227664	−	0.0394325i	−0.877184	+	0.480154i	$0.840581\pi$
$374$	2.30592	−	3.99397i	0.119236	−	0.206523i
$375$	−1.81194	−	1.41524i	−0.0935680	−	0.0730827i
$376$		−	1.96524i		−	0.101350i
$377$	−16.6070	+	9.90307i	−0.855306	+	0.510034i
$378$	4.85026	−	1.86412i	0.249471	−	0.0958802i
$379$	−2.11206	−	7.88232i	−0.108489	−	0.404888i	0.890228	−	0.455515i	$-0.150545\pi$
$379$	−2.11206	−	7.88232i	−0.108489	−	0.404888i	−0.998718	+	0.0506269i	$0.983878\pi$
$380$	−0.433947	−	0.250540i	−0.0222610	−	0.0128524i
$381$	−6.96558	+	16.4161i	−0.356858	+	0.841024i
$382$	−10.7403	+	10.7403i	−0.549523	+	0.549523i
$383$	5.56684	−	20.7757i	0.284452	−	1.06159i	−0.664786	−	0.747033i	$-0.731477\pi$
$383$	5.56684	−	20.7757i	0.284452	−	1.06159i	0.949239	−	0.314557i	$-0.101856\pi$
$384$	1.60584	−	0.649057i	0.0819477	−	0.0331221i
$385$	0.217245	+	0.217245i	0.0110719	+	0.0110719i
$386$	−14.3045	+	8.25870i	−0.728079	+	0.420357i
$387$	16.3755	−	15.8223i	0.832416	−	0.804295i
$388$	0.719389	−	0.192760i	0.0365215	−	0.00978590i
$389$	24.4700			1.24068			0.620339	−	0.784334i	$-0.286995\pi$
$389$	24.4700			1.24068			0.620339	+	0.784334i	$0.286995\pi$
$390$	0.509164	+	0.656027i	0.0257825	+	0.0332192i
$391$	−3.69281			−0.186753
$392$	0.965926	−	0.258819i	0.0487866	−	0.0130723i
$393$	22.2913	−	2.74012i	1.12445	−	0.138221i
$394$	9.97075	−	5.75661i	0.502319	−	0.290014i
$395$	0.893526	+	0.893526i	0.0449582	+	0.0449582i
$396$	5.94226	+	3.56826i	0.298610	+	0.179312i
$397$	−5.00857	+	18.6922i	−0.251373	+	0.938136i	0.718700	+	0.695320i	$0.244738\pi$
$397$	−5.00857	+	18.6922i	−0.251373	+	0.938136i	−0.970073	+	0.242815i	$0.921929\pi$
$398$	3.79313	−	3.79313i	0.190133	−	0.190133i
$399$	−6.00822	−	2.54937i	−0.300787	−	0.127628i
$400$	−4.31481	−	2.49116i	−0.215741	−	0.124558i
$401$	3.56140	+	13.2913i	0.177848	+	0.663737i	0.996049	+	0.0888050i	$0.0283048\pi$
$401$	3.56140	+	13.2913i	0.177848	+	0.663737i	−0.818201	+	0.574932i	$0.805029\pi$
$402$	−1.02328	+	0.771318i	−0.0510367	+	0.0384698i
$403$	4.82325	+	17.0355i	0.240263	+	0.848600i
$404$		−	11.2575i		−	0.560083i
$405$	1.14468	+	0.349279i	0.0568796	+	0.0173558i
$406$	−2.68136	+	4.64426i	−0.133074	+	0.230491i
$407$	7.07237	+	12.2497i	0.350564	+	0.607195i
$408$	0.480699	−	3.42375i	0.0237982	−	0.169501i
$409$	17.7765	+	4.76321i	0.878994	+	0.235526i	0.669973	−	0.742386i	$-0.266306\pi$
$409$	17.7765	+	4.76321i	0.878994	+	0.235526i	0.209021	+	0.977911i	$0.432972\pi$
$410$	−0.780553	−	0.209149i	−0.0385488	−	0.0103291i
$411$	5.15179	−	36.6933i	0.254119	−	1.80995i
$412$	3.18163	+	5.51075i	0.156748	+	0.271495i
$413$	1.88315	−	3.26171i	0.0926636	−	0.160498i
$414$	0.0953439	−	5.54924i	0.00468589	−	0.272730i
$415$			0.922450i			0.0452813i
$416$	2.58522	+	2.51329i	0.126751	+	0.123224i
$417$	−19.2074	+	14.4779i	−0.940591	+	0.708988i
$418$	−2.25332	−	8.40952i	−0.110214	−	0.411323i
$419$	−14.2719	−	8.23988i	−0.697227	−	0.402544i	0.109087	−	0.994032i	$-0.465207\pi$
$419$	−14.2719	−	8.23988i	−0.697227	−	0.402544i	−0.806314	+	0.591488i	$0.798541\pi$
$420$	0.212024	+	0.0899645i	0.0103457	+	0.00438982i
$421$	−0.951204	+	0.951204i	−0.0463589	+	0.0463589i	−0.729906	−	0.683547i	$-0.760436\pi$
$421$	−0.951204	+	0.951204i	−0.0463589	+	0.0463589i	0.683547	+	0.729906i	$0.260436\pi$
$422$	−5.13475	+	19.1632i	−0.249956	+	0.932848i
$423$	3.03514	−	5.05446i	0.147574	−	0.245756i
$424$	6.75146	+	6.75146i	0.327880	+	0.327880i
$425$	−8.61276	+	4.97258i	−0.417780	+	0.241206i
$426$	18.3594	−	2.25680i	0.889516	−	0.109342i
$427$	8.48182	−	2.27270i	0.410464	−	0.109984i
$428$	−9.96492			−0.481673
$429$	−1.80434	+	14.3154i	−0.0871144	+	0.691153i
$430$	1.00932			0.0486736
$431$	−26.5860	+	7.12369i	−1.28060	+	0.343136i	−0.834083	−	0.551639i	$-0.814003\pi$
$431$	−26.5860	+	7.12369i	−1.28060	+	0.343136i	−0.446518	+	0.894775i	$0.647336\pi$
$432$	5.13251	+	0.810751i	0.246938	+	0.0390073i
$433$	−21.6733	+	12.5131i	−1.04155	+	0.601341i	−0.920273	−	0.391277i	$-0.872033\pi$
$433$	−21.6733	+	12.5131i	−1.04155	+	0.601341i	−0.121281	+	0.992618i	$0.538700\pi$
$434$	3.47227	+	3.47227i	0.166674	+	0.166674i
$435$	−1.14514	+	0.462851i	−0.0549055	+	0.0221920i
$436$	1.86530	−	6.96139i	0.0893316	−	0.333390i
$437$	−4.92941	+	4.92941i	−0.235806	+	0.235806i
$438$	−4.31317	+	10.1650i	−0.206091	+	0.485705i
$439$	18.4804	+	10.6697i	0.882022	+	0.509236i	0.871325	−	0.490707i	$-0.163262\pi$
$439$	18.4804	+	10.6697i	0.882022	+	0.509236i	0.0106973	+	0.999943i	$0.496595\pi$
$440$	0.0795174	+	0.296763i	0.00379084	+	0.0141476i
$441$	2.88401	+	0.826123i	0.137334	+	0.0393392i
$442$	6.92480	−	1.96061i	0.329379	−	0.0932569i
$443$			10.6521i			0.506097i	0.967454	+	0.253048i	$0.0814332\pi$
$443$			10.6521i			0.506097i	−0.967454	+	0.253048i	$0.918567\pi$
$444$	8.35681	+	6.52722i	0.396597	+	0.309768i
$445$	−0.613544	+	1.06269i	−0.0290848	+	0.0503763i
$446$	8.72419	+	15.1107i	0.413102	+	0.715514i
$447$	−31.3533	−	4.40205i	−1.48296	−	0.208210i
$448$	0.965926	+	0.258819i	0.0456357	+	0.0122281i
$449$	4.16068	+	1.11485i	0.196355	+	0.0526131i	0.355656	−	0.934617i	$-0.384257\pi$
$449$	4.16068	+	1.11485i	0.196355	+	0.0526131i	−0.159301	+	0.987230i	$0.550924\pi$
$450$	−7.25000	−	13.0709i	−0.341768	−	0.616169i
$451$	−7.02021	−	12.1594i	−0.330569	−	0.572562i
$452$	−2.38961	+	4.13893i	−0.112398	+	0.194679i
$453$	25.3042	−	32.3970i	1.18890	−	1.52215i
$454$			11.0952i			0.520723i
$455$	0.00676416	+	0.479403i	0.000317109	+	0.0224748i
$456$	−3.92859	−	5.21193i	−0.183973	−	0.244071i
$457$	−2.67909	−	9.99849i	−0.125322	−	0.467710i	0.874529	−	0.484974i	$-0.161171\pi$
$457$	−2.67909	−	9.99849i	−0.125322	−	0.467710i	−0.999851	+	0.0172644i	$0.994504\pi$
$458$	−3.41468	−	1.97147i	−0.159557	−	0.0921206i
$459$	6.52400	−	8.06323i	0.304514	−	0.376359i
$460$	0.173954	−	0.173954i	0.00811063	−	0.00811063i
$461$	5.24678	−	19.5813i	0.244367	−	0.911990i	−0.729333	−	0.684158i	$-0.760170\pi$
$461$	5.24678	−	19.5813i	0.244367	−	0.911990i	0.973701	−	0.227832i	$-0.0731636\pi$
$462$	1.49960	+	3.71019i	0.0697679	+	0.172614i
$463$	14.6944	+	14.6944i	0.682905	+	0.682905i	0.960654	−	0.277749i	$-0.0895883\pi$
$463$	14.6944	+	14.6944i	0.682905	+	0.682905i	−0.277749	+	0.960654i	$0.589588\pi$
$464$	−4.64426	+	2.68136i	−0.215604	+	0.124479i
$465$	0.137987	+	1.12255i	0.00639901	+	0.0520569i
$466$	−0.451816	+	0.121064i	−0.0209300	+	0.00560817i
$467$	23.3690			1.08139			0.540694	−	0.841219i	$-0.318162\pi$
$467$	23.3690			1.08139			0.540694	+	0.841219i	$0.318162\pi$
$468$	2.76746	+	10.4566i	0.127926	+	0.483358i
$469$	−0.739828			−0.0341621
$470$	0.252425	−	0.0676371i	0.0116435	−	0.00311986i
$471$	−2.47858	−	20.1636i	−0.114207	−	0.929089i
$472$	3.26171	−	1.88315i	0.150132	−	0.0866789i
$473$	12.4003	+	12.4003i	0.570168	+	0.570168i
$474$	6.16784	+	15.2599i	0.283298	+	0.700912i
$475$	−4.85916	+	18.1346i	−0.222954	+	0.832075i
$476$	1.41145	−	1.41145i	0.0646937	−	0.0646937i
$477$	6.93722	+	27.7913i	0.317633	+	1.27247i
$478$	15.5195	+	8.96017i	0.709844	+	0.409828i
$479$	−2.80164	−	10.4559i	−0.128010	−	0.477741i	0.871919	−	0.489650i	$-0.162876\pi$
$479$	−2.80164	−	10.4559i	−0.128010	−	0.477741i	−0.999929	+	0.0119096i	$0.996209\pi$
$480$	0.138636	+	0.183923i	0.00632782	+	0.00839491i
$481$	−5.41169	+	21.3999i	−0.246752	+	0.975753i
$482$			20.2722i			0.923371i
$483$	1.97244	−	2.52531i	0.0897489	−	0.114906i
$484$	2.83095	−	4.90335i	0.128680	−	0.222879i
$485$	0.0495179	+	0.0857676i	0.00224849	+	0.00389451i
$486$	11.9483	+	10.0119i	0.541986	+	0.454149i
$487$	−6.31856	−	1.69305i	−0.286321	−	0.0767196i	0.112800	−	0.993618i	$-0.464018\pi$
$487$	−6.31856	−	1.69305i	−0.286321	−	0.0767196i	−0.399121	+	0.916898i	$0.630685\pi$
$488$	8.48182	+	2.27270i	0.383954	+	0.102880i
$489$	18.9731	+	2.66385i	0.857993	+	0.120463i
$490$	0.0664879	+	0.115160i	0.00300362	+	0.00520241i
$491$	5.42530	−	9.39689i	0.244840	−	0.424076i	−0.717246	−	0.696820i	$-0.754598\pi$
$491$	5.42530	−	9.39689i	0.244840	−	0.424076i	0.962087	+	0.272744i	$0.0879312\pi$
$492$	−8.29518	−	6.47908i	−0.373975	−	0.292099i
$493$			10.7045i			0.482106i
$494$	6.62654	−	11.8609i	0.298142	−	0.533646i
$495$	−0.253811	+	0.886059i	−0.0114080	+	0.0398254i
$496$	1.27094	+	4.74321i	0.0570668	+	0.212976i
$497$	9.24880	+	5.33980i	0.414865	+	0.239523i
$498$	−4.69320	+	11.0607i	−0.210307	+	0.495641i
$499$	−9.05648	+	9.05648i	−0.405424	+	0.405424i	−0.880139	−	0.474715i	$-0.842551\pi$
$499$	−9.05648	+	9.05648i	−0.405424	+	0.405424i	0.474715	+	0.880139i	$0.342551\pi$
$500$	0.343558	−	1.28218i	0.0153644	−	0.0573406i
$501$	21.2520	−	8.58975i	0.949469	−	0.383762i
$502$	−9.68315	−	9.68315i	−0.432180	−	0.432180i
$503$	31.4832	−	18.1768i	1.40377	−	0.810466i	0.408991	−	0.912539i	$-0.365881\pi$
$503$	31.4832	−	18.1768i	1.40377	−	0.810466i	0.994777	+	0.102073i	$0.0325475\pi$
$504$	2.08457	+	2.15745i	0.0928539	+	0.0961004i
$505$	1.44597	−	0.387446i	0.0643448	−	0.0172411i
$506$	4.27435			0.190018
$507$	−17.5912	+	14.0552i	−0.781253	+	0.624215i
$508$	−10.2958			−0.456801
$509$	−19.9789	+	5.35334i	−0.885551	+	0.237283i	−0.672800	−	0.739824i	$-0.734909\pi$
$509$	−19.9789	+	5.35334i	−0.885551	+	0.237283i	−0.212750	+	0.977107i	$0.568242\pi$
$510$	0.456307	−	0.0560907i	0.0202056	−	0.00248374i
$511$	−5.52113	+	3.18763i	−0.244241	+	0.141012i
$512$	0.707107	+	0.707107i	0.0312500	+	0.0312500i
$513$	−2.05467	−	19.4720i	−0.0907160	−	0.859711i
$514$	6.98295	−	26.0607i	0.308005	−	1.14949i
$515$	−0.598325	+	0.598325i	−0.0263653	+	0.0263653i
$516$	12.1023	+	5.13516i	0.532773	+	0.226063i
$517$	3.93224	+	2.27028i	0.172940	+	0.0998468i
$518$	1.58452	+	5.91351i	0.0696198	+	0.259825i
$519$	30.0225	−	22.6301i	1.31784	−	0.993349i
$520$	−0.233844	+	0.418557i	−0.0102547	+	0.0183550i
$521$		−	34.1326i		−	1.49538i	−0.664050	−	0.747689i	$-0.731164\pi$
$521$		−	34.1326i		−	1.49538i	0.664050	−	0.747689i	$-0.268836\pi$
$522$	−16.0858	−	0.276377i	−0.704056	−	0.0120967i
$523$	2.76001	−	4.78048i	0.120687	−	0.209036i	−0.799352	−	0.600863i	$-0.794824\pi$
$523$	2.76001	−	4.78048i	0.120687	−	0.209036i	0.920039	+	0.391827i	$0.128157\pi$
$524$	6.48337	+	11.2295i	0.283227	+	0.490564i
$525$	1.19984	−	8.54581i	0.0523654	−	0.372970i
$526$	23.0161	+	6.16715i	1.00355	+	0.268901i
$527$	9.46787	+	2.53691i	0.412427	+	0.110509i
$528$	−0.556399	+	3.96292i	−0.0242142	+	0.172464i
$529$	9.78871	+	16.9546i	0.425596	+	0.737154i
$530$	−0.634826	+	1.09955i	−0.0275751	+	0.0477615i
$531$	11.2972	+	0.194102i	0.490257	+	0.00842332i
$532$		−	3.76820i		−	0.163372i
$533$	5.37178	−	21.2421i	0.232678	−	0.920098i
$534$	−12.7634	+	9.62068i	−0.552328	+	0.416328i
$535$	−0.342959	−	1.27994i	−0.0148274	−	0.0553367i
$536$	−0.640710	−	0.369914i	−0.0276745	−	0.0159779i
$537$	−17.6945	−	7.50800i	−0.763572	−	0.323994i
$538$	16.2881	−	16.2881i	0.702230	−	0.702230i
$539$	−0.597984	+	2.23171i	−0.0257570	+	0.0961264i
$540$	0.0725072	+	0.687147i	0.00312021	+	0.0295701i
$541$	−26.6706	−	26.6706i	−1.14666	−	1.14666i	−0.987205	−	0.159455i	$-0.949026\pi$
$541$	−26.6706	−	26.6706i	−1.14666	−	1.14666i	−0.159455	−	0.987205i	$-0.550974\pi$
$542$	9.73450	−	5.62022i	0.418133	−	0.241409i
$543$	−18.0684	+	2.22103i	−0.775389	+	0.0953135i
$544$	1.92808	−	0.516626i	0.0826656	−	0.0221502i
$545$	0.958351			0.0410512
$546$	−2.35798	+	5.78273i	−0.100912	+	0.247478i
$547$	−27.2994			−1.16724			−0.583618	−	0.812028i	$-0.698364\pi$
$547$	−27.2994			−1.16724			−0.583618	+	0.812028i	$0.698364\pi$
$548$	20.6637	−	5.53683i	0.882711	−	0.236522i
$549$	18.3046	+	18.9446i	0.781222	+	0.808537i
$550$	9.96909	−	5.75566i	0.425083	−	0.245422i
$551$	14.2891	+	14.2891i	0.608736	+	0.608736i
$552$	2.97084	−	1.20077i	0.126447	−	0.0511081i
$553$	−2.45950	+	9.17897i	−0.104588	+	0.390329i
$554$	2.66219	−	2.66219i	0.113106	−	0.113106i
$555$	−0.550773	+	1.29803i	−0.0233790	+	0.0550984i
$556$	−12.0264	−	6.94343i	−0.510032	−	0.294467i
$557$	−2.23128	−	8.32725i	−0.0945423	−	0.352837i	0.902407	−	0.430884i	$-0.141798\pi$
$557$	−2.23128	−	8.32725i	−0.0945423	−	0.352837i	−0.996950	+	0.0780472i	$0.975132\pi$
$558$	−4.05670	+	14.1620i	−0.171734	+	0.599526i
$559$	0.386097	+	27.3643i	0.0163302	+	1.15738i
$560$			0.132976i			0.00561925i
$561$	6.29525	+	4.91700i	0.265786	+	0.207596i
$562$	2.12505	−	3.68069i	0.0896398	−	0.155261i
$563$	8.19595	+	14.1958i	0.345418	+	0.598282i	0.985430	−	0.170084i	$-0.0544038\pi$
$563$	8.19595	+	14.1958i	0.345418	+	0.598282i	−0.640012	+	0.768365i	$0.721070\pi$
$564$	3.37084	+	0.473270i	0.141938	+	0.0199283i
$565$	−0.613866	−	0.164485i	−0.0258255	−	0.00691993i
$566$	−22.3218	−	5.98110i	−0.938253	−	0.251404i
$567$	2.02936	+	8.76822i	0.0852250	+	0.368231i
$568$	5.33980	+	9.24880i	0.224053	+	0.388071i
$569$	10.8296	−	18.7574i	0.454001	−	0.786353i	−0.544629	−	0.838677i	$-0.683330\pi$
$569$	10.8296	−	18.7574i	0.454001	−	0.786353i	0.998630	+	0.0523243i	$0.0166629\pi$
$570$	0.534236	−	0.683983i	0.0223767	−	0.0286489i
$571$		−	25.3189i		−	1.05956i	−0.848134	−	0.529782i	$-0.822274\pi$
$571$		−	25.3189i		−	1.05956i	0.848134	−	0.529782i	$-0.177726\pi$
$572$	−8.01532	+	2.26937i	−0.335137	+	0.0948871i
$573$	−15.8356	−	21.0086i	−0.661543	−	0.877647i
$574$	−1.57283	−	5.86989i	−0.0656488	−	0.245005i
$575$	−7.98249	−	4.60869i	−0.332893	−	0.192196i
$576$	0.726562	+	2.91069i	0.0302734	+	0.121279i
$577$	−31.8891	+	31.8891i	−1.32756	+	1.32756i	−0.420064	+	0.907494i	$0.637992\pi$
$577$	−31.8891	+	31.8891i	−1.32756	+	1.32756i	−0.907494	+	0.420064i	$0.862008\pi$
$578$	−3.36869	+	12.5721i	−0.140119	+	0.522931i
$579$	−10.7207	−	26.5243i	−0.445539	−	1.10231i
$580$	−0.504246	−	0.504246i	−0.0209377	−	0.0209377i
$581$	−6.00760	+	3.46849i	−0.249237	+	0.143897i
$582$	0.157383	+	1.28034i	0.00652375	+	0.0530717i
$583$	−21.3084	+	5.70956i	−0.882502	+	0.236466i
$584$	−6.37525			−0.263810
$585$	−1.24785	+	0.715347i	−0.0515923	+	0.0295760i
$586$	5.67731			0.234528
$587$	36.3306	−	9.73477i	1.49953	−	0.401797i	0.586585	−	0.809888i	$-0.300472\pi$
$587$	36.3306	−	9.73477i	1.49953	−	0.401797i	0.912941	+	0.408091i	$0.133805\pi$
$588$	0.211319	+	1.71911i	0.00871465	+	0.0708950i
$589$	16.0248	−	9.25193i	0.660291	−	0.381219i
$590$	0.354137	+	0.354137i	0.0145796	+	0.0145796i
$591$	7.47274	+	18.4884i	0.307388	+	0.760512i
$592$	−1.58452	+	5.91351i	−0.0651234	+	0.243044i
$593$	22.0151	−	22.0151i	0.904052	−	0.904052i	−0.0917316	−	0.995784i	$-0.529240\pi$
$593$	22.0151	−	22.0151i	0.904052	−	0.904052i	0.995784	+	0.0917316i	$0.0292402\pi$
$594$	−7.55139	+	9.33302i	−0.309837	+	0.382938i
$595$	0.229871	+	0.132716i	0.00942377	+	0.00544082i
$596$	−4.73105	−	17.6565i	−0.193791	−	0.723240i
$597$	5.59262	+	7.41955i	0.228891	+	0.303662i
$598$	4.78272	+	4.64963i	0.195580	+	0.190137i
$599$		−	7.46075i		−	0.304838i	−0.988316	−	0.152419i	$-0.951294\pi$
$599$		−	7.46075i		−	0.304838i	0.988316	−	0.152419i	$-0.0487063\pi$
$600$	5.31200	−	6.80097i	0.216861	−	0.277648i
$601$	10.6000	−	18.3598i	0.432385	−	0.748912i	−0.564693	−	0.825301i	$-0.691006\pi$
$601$	10.6000	−	18.3598i	0.432385	−	0.748912i	0.997078	+	0.0763885i	$0.0243389\pi$
$602$	3.79512	+	6.57334i	0.154677	+	0.267909i
$603$	−1.07656	−	1.94091i	−0.0438409	−	0.0790400i
$604$	22.9250	+	6.14275i	0.932807	+	0.249945i
$605$	0.727241	+	0.194864i	0.0295665	+	0.00792233i
$606$	19.3092	+	2.71104i	0.784384	+	0.110129i
$607$	−10.5914	−	18.3448i	−0.429890	−	0.744592i	0.566973	−	0.823736i	$-0.308114\pi$
$607$	−10.5914	−	18.3448i	−0.429890	−	0.744592i	−0.996863	+	0.0791447i	$0.974781\pi$
$608$	1.88410	−	3.26336i	0.0764103	−	0.132347i
$609$	−7.32023	−	5.71758i	−0.296631	−	0.231688i
$610$			1.16766i			0.0472773i
$611$	1.93031	+	6.81779i	0.0780921	+	0.275818i
$612$	5.75675	+	1.64902i	0.232703	+	0.0666576i
$613$	−10.2232	−	38.1536i	−0.412912	−	1.54101i	−0.788981	−	0.614417i	$-0.789391\pi$
$613$	−10.2232	−	38.1536i	−0.412912	−	1.54101i	0.376069	−	0.926592i	$-0.377275\pi$
$614$	5.08980	+	2.93860i	0.205408	+	0.118592i
$615$	0.546711	−	1.28846i	0.0220455	−	0.0519557i
$616$	−1.63372	+	1.63372i	−0.0658246	+	0.0658246i
$617$	7.32156	−	27.3244i	0.294755	−	1.10004i	−0.646657	−	0.762781i	$-0.723833\pi$
$617$	7.32156	−	27.3244i	0.294755	−	1.10004i	0.941412	−	0.337259i	$-0.109500\pi$
$618$	−10.2184	+	4.13012i	−0.411044	+	0.166138i
$619$	27.9573	+	27.9573i	1.12370	+	1.12370i	0.991181	+	0.132517i	$0.0423060\pi$
$619$	27.9573	+	27.9573i	1.12370	+	1.12370i	0.132517	+	0.991181i	$0.457694\pi$
$620$	−0.565498	+	0.326491i	−0.0227110	+	0.0131122i
$621$	9.49525	+	1.49991i	0.381031	+	0.0601891i
$622$	12.0451	−	3.22748i	0.482965	−	0.129410i
$623$	−9.22791			−0.369709
$624$	−4.93343	+	3.82900i	−0.197495	+	0.153283i
$625$	−24.7351			−0.989403
$626$	−21.4730	+	5.75368i	−0.858234	+	0.229963i
$627$	14.9669	−	1.83978i	0.597720	−	0.0734737i
$628$	10.1577	−	5.86454i	0.405335	−	0.234020i
$629$	8.64105	+	8.64105i	0.344541	+	0.344541i
$630$	−0.205369	+	0.342003i	−0.00818210	+	0.0136257i
$631$	−7.25400	+	27.0723i	−0.288777	+	1.07773i	0.657258	+	0.753666i	$0.271716\pi$
$631$	−7.25400	+	27.0723i	−0.288777	+	1.07773i	−0.946035	+	0.324065i	$0.894950\pi$
$632$	−6.71947	+	6.71947i	−0.267286	+	0.267286i
$633$	−31.6326	−	13.4222i	−1.25728	−	0.533483i
$634$	−24.1499	−	13.9430i	−0.959116	−	0.553746i
$635$	−0.354346	−	1.32244i	−0.0140618	−	0.0524793i
$636$	−13.2062	+	9.95440i	−0.523659	+	0.394718i
$637$	−3.09675	+	1.84665i	−0.122698	+	0.0731669i
$638$		−	12.3902i		−	0.490533i
$639$	−0.550391	+	32.0341i	−0.0217731	+	1.26725i
$640$	−0.0664879	+	0.115160i	−0.00262816	+	0.00455211i
$641$	0.558744	+	0.967773i	0.0220691	+	0.0382247i	0.876849	−	0.480766i	$-0.159641\pi$
$641$	0.558744	+	0.967773i	0.0220691	+	0.0382247i	−0.854780	+	0.518991i	$0.826308\pi$
$642$	2.39976	−	17.0921i	0.0947108	−	0.674572i
$643$	11.8237	+	3.16816i	0.466283	+	0.124940i	0.484308	−	0.874897i	$-0.339071\pi$
$643$	11.8237	+	3.16816i	0.466283	+	0.124940i	−0.0180256	+	0.999838i	$0.505738\pi$
$644$	1.78698	+	0.478820i	0.0704169	+	0.0188682i
$645$	−0.243064	+	1.73121i	−0.00957063	+	0.0681662i
$646$	−3.76083	−	6.51396i	−0.147968	−	0.256288i
$647$	−14.1352	+	24.4828i	−0.555710	+	0.962519i	0.442137	+	0.896947i	$0.354220\pi$
$647$	−14.1352	+	24.4828i	−0.555710	+	0.962519i	−0.997848	+	0.0655715i	$0.979113\pi$
$648$	−2.62664	+	8.60818i	−0.103184	+	0.338161i
$649$			8.70177i			0.341574i
$650$	17.4158	+	4.40416i	0.683102	+	0.172745i
$651$	−6.79192	+	5.11954i	−0.266196	+	0.200650i
$652$	2.86294	+	10.6847i	0.112122	+	0.418443i
$653$	−12.8646	−	7.42738i	−0.503431	−	0.290656i	0.226698	−	0.973965i	$-0.427207\pi$
$653$	−12.8646	−	7.42738i	−0.503431	−	0.290656i	−0.730129	+	0.683309i	$0.760540\pi$
$654$	11.4912	+	4.87586i	0.449340	+	0.190661i
$655$	−1.21924	+	1.21924i	−0.0476395	+	0.0476395i
$656$	1.57283	−	5.86989i	0.0614088	−	0.229181i
$657$	−16.3967	−	9.84601i	−0.639695	−	0.384130i
$658$	1.38964	+	1.38964i	0.0541737	+	0.0541737i
$659$	32.5699	−	18.8042i	1.26874	−	0.732509i	0.293993	−	0.955808i	$-0.405016\pi$
$659$	32.5699	−	18.8042i	1.26874	−	0.732509i	0.974750	+	0.223298i	$0.0716824\pi$
$660$	−0.528165	+	0.0649239i	−0.0205588	+	0.00252716i
$661$	−20.0890	+	5.38284i	−0.781373	+	0.209368i	−0.627390	−	0.778705i	$-0.715877\pi$
$661$	−20.0890	+	5.38284i	−0.781373	+	0.209368i	−0.153983	+	0.988074i	$0.549210\pi$
$662$	−13.1405			−0.510720
$663$	1.69527	+	12.3498i	0.0658387	+	0.479625i
$664$	−6.93698			−0.269207
$665$	0.484005	−	0.129689i	0.0187689	−	0.00502912i
$666$	−13.2082	+	12.7619i	−0.511805	+	0.494515i
$667$	−8.59196	+	4.96057i	−0.332682	+	0.192074i
$668$	9.35798	+	9.35798i	0.362071	+	0.362071i
$669$	−28.0193	+	11.3250i	−1.08329	+	0.437850i
$670$	0.0254624	−	0.0950270i	0.000983699	−	0.00367121i
$671$	−14.3458	+	14.3458i	−0.553812	+	0.553812i
$672$	−0.676548	+	1.59445i	−0.0260984	+	0.0615074i
$673$	16.4871	+	9.51883i	0.635531	+	0.366924i	0.782891	−	0.622159i	$-0.213744\pi$
$673$	16.4871	+	9.51883i	0.635531	+	0.366924i	−0.147360	+	0.989083i	$0.547078\pi$
$674$	5.20114	+	19.4109i	0.200340	+	0.747681i
$675$	24.1655	−	9.28766i	0.930132	−	0.357482i
$676$	−11.4372	−	6.17978i	−0.439894	−	0.237684i
$677$		−	22.6698i		−	0.871273i	−0.900123	−	0.435636i	$-0.856523\pi$
$677$		−	22.6698i		−	0.871273i	0.900123	−	0.435636i	$-0.143477\pi$
$678$	−6.52374	−	5.09547i	−0.250543	−	0.195690i
$679$	−0.372383	+	0.644987i	−0.0142908	+	0.0247523i
$680$	0.132716	+	0.229871i	0.00508942	+	0.00881513i
$681$	−19.0308	−	2.67195i	−0.729261	−	0.102389i
$682$	−10.9589	−	2.93642i	−0.419637	−	0.112441i
$683$	−7.69008	−	2.06055i	−0.294253	−	0.0788447i	0.108673	−	0.994078i	$-0.465340\pi$
$683$	−7.69008	−	2.06055i	−0.294253	−	0.0788447i	−0.402925	+	0.915233i	$0.632007\pi$
$684$	9.88573	−	5.48328i	0.377990	−	0.209659i
$685$	1.42235	+	2.46359i	0.0543453	+	0.0941289i
$686$	−0.500000	+	0.866025i	−0.0190901	+	0.0330650i
$687$	4.20384	−	5.38218i	0.160386	−	0.205343i
$688$			7.59023i			0.289375i
$689$	−30.0535	−	16.7906i	−1.14495	−	0.639670i
$690$	0.256479	+	0.340262i	0.00976397	+	0.0129535i
$691$	−2.18501	−	8.15456i	−0.0831216	−	0.310214i	0.911830	−	0.410567i	$-0.134669\pi$
$691$	−2.18501	−	8.15456i	−0.0831216	−	0.310214i	−0.994952	+	0.100353i	$0.968003\pi$
$692$	18.7981	+	10.8531i	0.714596	+	0.412572i
$693$	−6.72495	+	1.67867i	−0.255460	+	0.0637675i
$694$	3.58425	−	3.58425i	0.136056	−	0.136056i
$695$	0.477939	−	1.78369i	0.0181293	−	0.0676594i
$696$	−3.48072	−	8.61168i	−0.131936	−	0.326425i
$697$	−8.57732	−	8.57732i	−0.324889	−	0.324889i
$698$	10.6032	−	6.12174i	0.401336	−	0.231711i
$699$	−0.0988455	−	0.804123i	−0.00373868	−	0.0304147i
$700$	4.81255	−	1.28952i	0.181897	−	0.0487392i
$701$	−33.0384			−1.24784			−0.623921	−	0.781487i	$-0.714461\pi$
$701$	−33.0384			−1.24784			−0.623921	+	0.781487i	$0.714461\pi$
$702$	−18.6020	+	2.22865i	−0.702086	+	0.0841148i
$703$	23.0694			0.870077
$704$	−2.23171	+	0.597984i	−0.0841106	+	0.0225374i
$705$	0.0552239	+	0.449255i	0.00207985	+	0.0169199i
$706$	14.0801	−	8.12914i	0.529911	−	0.305944i
$707$	7.96028	+	7.96028i	0.299377	+	0.299377i
$708$	2.44454	+	6.04807i	0.0918715	+	0.227300i
$709$	6.92283	−	25.8364i	0.259992	−	0.970305i	−0.705252	−	0.708957i	$-0.749166\pi$
$709$	6.92283	−	25.8364i	0.259992	−	0.970305i	0.965245	−	0.261348i	$-0.0841672\pi$
$710$	−1.00418	+	1.00418i	−0.0376862	+	0.0376862i
$711$	−27.6596	+	6.90435i	−1.03732	+	0.258933i
$712$	−7.99161	−	4.61396i	−0.299498	−	0.172915i
$713$	2.35126	+	8.77502i	0.0880554	+	0.328627i
$714$	2.08105	+	2.76086i	0.0778814	+	0.103323i
$715$	−0.567349	−	0.951421i	−0.0212176	−	0.0355811i
$716$		−	11.0975i		−	0.414733i
$717$	−19.1061	+	24.4616i	−0.713531	+	0.913536i
$718$	16.9111	−	29.2909i	0.631117	−	1.09313i
$719$	−23.4584	−	40.6311i	−0.874849	−	1.51528i	−0.856923	−	0.515444i	$-0.827627\pi$
$719$	−23.4584	−	40.6311i	−0.874849	−	1.51528i	−0.0179260	−	0.999839i	$-0.505706\pi$
$720$	−0.348857	+	0.193499i	−0.0130011	+	0.00721129i
$721$	−6.14644	−	1.64693i	−0.228905	−	0.0613350i
$722$	4.63709	+	1.24250i	0.172575	+	0.0462412i
$723$	−34.7714	−	4.88195i	−1.29316	−	0.181562i
$724$	−5.25516	−	9.10220i	−0.195306	−	0.338281i
$725$	−13.3594	+	23.1392i	−0.496156	+	0.859367i
$726$	7.72861	+	6.03655i	0.286836	+	0.224037i
$727$		−	16.9905i		−	0.630142i	−0.949068	−	0.315071i	$-0.897972\pi$
$727$		−	16.9905i		−	0.630142i	0.949068	−	0.315071i	$-0.102028\pi$
$728$	−3.60519	+	0.0508677i	−0.133617	+	0.00188528i
$729$	−20.0501	+	18.0830i	−0.742595	+	0.669740i
$730$	−0.219415	−	0.818868i	−0.00812091	−	0.0303076i
$731$	13.1210	+	7.57540i	0.485297	+	0.280186i
$732$	−5.94079	+	14.0009i	−0.219578	+	0.517490i
$733$	15.5164	−	15.5164i	0.573111	−	0.573111i	−0.359886	−	0.932996i	$-0.617184\pi$
$733$	15.5164	−	15.5164i	0.573111	−	0.573111i	0.932996	+	0.359886i	$0.117184\pi$
$734$	9.30648	−	34.7323i	0.343509	−	1.28199i
$735$	−0.213538	+	0.0863089i	−0.00787646	+	0.00318355i
$736$	1.30816	+	1.30816i	0.0482195	+	0.0482195i
$737$	1.48032	−	0.854662i	0.0545282	−	0.0314819i
$738$	13.1107	−	12.6678i	0.482613	−	0.466309i
$739$	−9.30071	+	2.49212i	−0.342132	+	0.0916740i	−0.425794	−	0.904820i	$-0.640005\pi$
$739$	−9.30071	+	2.49212i	−0.342132	+	0.0916740i	0.0836618	+	0.996494i	$0.473338\pi$
$740$	−0.814093			−0.0299266
$741$	18.7483	+	14.2224i	0.688735	+	0.522472i
$742$	−9.54800			−0.350518
$743$	−21.9262	+	5.87511i	−0.804395	+	0.215537i	−0.637513	−	0.770440i	$-0.720037\pi$
$743$	−21.9262	+	5.87511i	−0.804395	+	0.215537i	−0.166882	+	0.985977i	$0.553370\pi$
$744$	−8.44175	+	1.03769i	−0.309489	+	0.0380435i
$745$	2.10506	−	1.21536i	0.0771234	−	0.0445272i
$746$	0.621818	+	0.621818i	0.0227664	+	0.0227664i
$747$	−17.8414	−	10.7135i	−0.652782	−	0.391988i
$748$	−1.19363	+	4.45469i	−0.0436435	+	0.162880i
$749$	7.04626	−	7.04626i	0.257465	−	0.257465i
$750$	2.11649	+	0.898054i	0.0772832	+	0.0327923i
$751$	28.4852	+	16.4460i	1.03944	+	0.600122i	0.919675	−	0.392681i	$-0.128452\pi$
$751$	28.4852	+	16.4460i	1.03944	+	0.600122i	0.119766	+	0.992802i	$0.461786\pi$
$752$	0.508642	+	1.89828i	0.0185483	+	0.0692231i
$753$	18.9407	−	14.2769i	0.690238	−	0.520279i
$754$	13.4781	−	13.8639i	0.490842	−	0.504892i
$755$			3.15601i			0.114859i
$756$	−4.20252	+	3.05595i	−0.152844	+	0.111144i
$757$	−3.91984	+	6.78937i	−0.142469	+	0.246764i	−0.928426	−	0.371518i	$-0.878837\pi$
$757$	−3.91984	+	6.78937i	−0.142469	+	0.246764i	0.785957	+	0.618282i	$0.212171\pi$
$758$	4.08019	+	7.06710i	0.148199	+	0.256689i
$759$	−1.02935	+	7.33148i	−0.0373630	+	0.266116i
$760$	0.484005	+	0.129689i	0.0175567	+	0.00470431i
$761$	−14.5174	−	3.88991i	−0.526254	−	0.141009i	−0.0140959	−	0.999901i	$-0.504487\pi$
$761$	−14.5174	−	3.88991i	−0.526254	−	0.141009i	−0.512158	+	0.858891i	$0.671154\pi$
$762$	2.47943	−	17.6596i	0.0898203	−	0.639739i
$763$	3.60348	+	6.24141i	0.130455	+	0.225954i
$764$	7.59456	−	13.1542i	0.274762	−	0.475901i
$765$	−0.0136795	+	0.796177i	−0.000494582	+	0.0287859i
$766$			21.5086i			0.777138i
$767$	−9.46578	+	9.73672i	−0.341790	+	0.351573i
$768$	−1.38313	+	1.04256i	−0.0499096	+	0.0376203i
$769$	10.2269	+	38.1672i	0.368790	+	1.37634i	0.862209	+	0.506553i	$0.169080\pi$
$769$	10.2269	+	38.1672i	0.368790	+	1.37634i	−0.493418	+	0.869792i	$0.664253\pi$
$770$	−0.266070	−	0.153616i	−0.00958851	−	0.00553593i
$771$	43.0184	+	18.2533i	1.54927	+	0.657376i
$772$	11.6796	−	11.6796i	0.420357	−	0.420357i
$773$	0.325022	−	1.21300i	0.0116902	−	0.0436286i	−0.959834	−	0.280567i	$-0.909477\pi$
$773$	0.325022	−	1.21300i	0.0116902	−	0.0436286i	0.971525	+	0.236939i	$0.0761441\pi$
$774$	−11.7224	+	19.5215i	−0.421354	+	0.701686i
$775$	17.2999	+	17.2999i	0.621432	+	0.621432i
$776$	−0.644987	+	0.372383i	−0.0231537	+	0.0133678i
$777$	−10.5246	+	1.29372i	−0.377568	+	0.0464119i
$778$	−23.6362	+	6.33330i	−0.847399	+	0.227060i
$779$	−22.8992			−0.820449
$780$	−0.661607	−	0.501892i	−0.0236893	−	0.0179706i
$781$	−24.6745			−0.882923
$782$	3.56698	−	0.955769i	0.127555	−	0.0341782i
$783$	4.34784	−	27.5243i	0.155379	−	0.983637i
$784$	−0.866025	+	0.500000i	−0.0309295	+	0.0178571i
$785$	1.10286	+	1.10286i	0.0393628	+	0.0393628i
$786$	−20.8225	+	8.41616i	−0.742715	+	0.300194i
$787$	7.47544	−	27.8987i	0.266471	−	0.994482i	−0.694873	−	0.719132i	$-0.744540\pi$
$787$	7.47544	−	27.8987i	0.266471	−	0.994482i	0.961344	−	0.275350i	$-0.0887937\pi$
$788$	−8.14108	+	8.14108i	−0.290014	+	0.290014i
$789$	−16.1208	+	37.9927i	−0.573916	+	1.35258i
$790$	−1.09434	−	0.631819i	−0.0389349	−	0.0224791i
$791$	−1.23695	−	4.61637i	−0.0439810	−	0.164139i
$792$	−6.66332	−	1.90870i	−0.236771	−	0.0678228i
$793$	−31.6573	+	0.446670i	−1.12418	+	0.0158617i
$794$		−	19.3516i		−	0.686763i
$795$	−1.73310	−	1.35367i	−0.0614668	−	0.0480096i
$796$	−2.68215	+	4.64562i	−0.0950663	+	0.164660i
$797$	−10.9210	−	18.9158i	−0.386843	−	0.670031i	0.605180	−	0.796088i	$-0.293101\pi$
$797$	−10.9210	−	18.9158i	−0.386843	−	0.670031i	−0.992023	+	0.126057i	$0.959768\pi$
$798$	6.46332	+	0.907459i	0.228799	+	0.0321237i
$799$	3.78914	+	1.01530i	0.134050	+	0.0359186i
$800$	4.81255	+	1.28952i	0.170149	+	0.0455914i
$801$	−13.4280	−	24.2091i	−0.474454	−	0.855385i
$802$	−6.88009	−	11.9167i	−0.242945	−	0.420792i
$803$	7.36480	−	12.7562i	0.259898	−	0.450157i
$804$	0.788783	−	1.00988i	0.0278182	−	0.0356158i
$805$			0.246008i			0.00867063i
$806$	−9.06802	−	15.2067i	−0.319407	−	0.535633i
$807$	24.0153	+	31.8603i	0.845378	+	1.12154i
$808$	2.91366	+	10.8739i	0.102502	+	0.382544i
$809$	12.0547	+	6.95980i	0.423822	+	0.244694i	0.696711	−	0.717352i	$-0.254646\pi$
$809$	12.0547	+	6.95980i	0.423822	+	0.244694i	−0.272889	+	0.962045i	$0.587979\pi$
$810$	−1.19608	−	0.0411127i	−0.0420258	−	0.00144455i
$811$	20.7038	−	20.7038i	0.727009	−	0.727009i	−0.243014	−	0.970023i	$-0.578136\pi$
$811$	20.7038	−	20.7038i	0.727009	−	0.727009i	0.970023	+	0.243014i	$0.0781360\pi$
$812$	1.38798	−	5.17999i	0.0487084	−	0.181782i
$813$	7.29569	+	18.0503i	0.255871	+	0.633053i
$814$	−10.0018	−	10.0018i	−0.350564	−	0.350564i
$815$	−1.27385	+	0.735460i	−0.0446211	+	0.0257620i
$816$	0.421812	+	3.43150i	0.0147664	+	0.120127i
$817$	27.6269	−	7.40262i	0.966544	−	0.258985i
$818$	−18.4036			−0.643468
$819$	−9.35084	−	5.43707i	−0.326745	−	0.189987i
$820$	0.808088			0.0282197
$821$	−11.9542	+	3.20311i	−0.417204	+	0.111789i	−0.461313	−	0.887237i	$-0.652622\pi$
$821$	−11.9542	+	3.20311i	−0.417204	+	0.111789i	0.0441097	+	0.999027i	$0.485955\pi$
$822$	4.52068	+	36.7764i	0.157677	+	1.28272i
$823$	15.7099	−	9.07013i	0.547614	−	0.316165i	−0.200545	−	0.979684i	$-0.564271\pi$
$823$	15.7099	−	9.07013i	0.547614	−	0.316165i	0.748159	+	0.663519i	$0.230938\pi$
$824$	−4.49951	−	4.49951i	−0.156748	−	0.156748i
$825$	7.47150	+	18.4853i	0.260124	+	0.643577i
$826$	−0.974789	+	3.63796i	−0.0339172	+	0.126581i
$827$	−27.4475	+	27.4475i	−0.954443	+	0.954443i	−0.999007	−	0.0445631i	$-0.985810\pi$
$827$	−27.4475	+	27.4475i	−0.954443	+	0.954443i	0.0445631	+	0.999007i	$0.485810\pi$
$828$	1.34415	+	5.38483i	0.0467126	+	0.187136i
$829$	30.1170	+	17.3880i	1.04601	+	0.603911i	0.921528	−	0.388311i	$-0.126941\pi$
$829$	30.1170	+	17.3880i	1.04601	+	0.603911i	0.124477	+	0.992223i	$0.460275\pi$
$830$	−0.238748	−	0.891018i	−0.00828705	−	0.0309277i
$831$	3.92515	+	5.20737i	0.136162	+	0.180642i
$832$	−3.14762	−	1.75854i	−0.109124	−	0.0609665i
$833$			1.99609i			0.0691605i
$834$	14.8058	−	18.9559i	0.512682	−	0.656388i
$835$	−0.879913	+	1.52405i	−0.0304506	+	0.0527420i
$836$	4.35309	+	7.53977i	0.150555	+	0.260768i
$837$	−23.3142	−	10.3687i	−0.805855	−	0.358394i
$838$	15.9182	+	4.26527i	0.549886	+	0.147341i
$839$	32.0369	+	8.58426i	1.10604	+	0.296362i	0.765220	−	0.643768i	$-0.222630\pi$
$839$	32.0369	+	8.58426i	1.10604	+	0.296362i	0.340816	+	0.940130i	$0.389297\pi$
$840$	−0.228084	−	0.0320232i	−0.00786963	−	0.00110491i
$841$	−0.120590	−	0.208868i	−0.00415828	−	0.00720235i
$842$	0.672603	−	1.16498i	0.0231794	−	0.0401480i
$843$	5.80147	+	4.53133i	0.199813	+	0.156067i
$844$		−	19.8392i		−	0.682892i
$845$	0.400128	−	1.68174i	0.0137648	−	0.0578536i
$846$	−1.62353	+	5.66778i	−0.0558182	+	0.194862i
$847$	1.46541	+	5.46897i	0.0503520	+	0.187916i
$848$	−8.26881	−	4.77400i	−0.283952	−	0.163940i
$849$	15.6345	−	36.8465i	0.536574	−	1.26457i
$850$	7.03229	−	7.03229i	0.241206	−	0.241206i
$851$	−2.93139	+	10.9401i	−0.100487	+	0.375022i
$852$	−17.1497	+	6.93167i	−0.587540	+	0.237475i
$853$	−28.7573	−	28.7573i	−0.984633	−	0.984633i	0.0152510	−	0.999884i	$-0.495145\pi$
$853$	−28.7573	−	28.7573i	−0.984633	−	0.984633i	−0.999884	+	0.0152510i	$0.995145\pi$
$854$	−7.60459	+	4.39051i	−0.260224	+	0.150240i
$855$	1.04453	+	1.08105i	0.0357222	+	0.0369712i
$856$	9.62538	−	2.57911i	0.328989	−	0.0881522i
$857$	24.8281			0.848112			0.424056	−	0.905636i	$-0.360606\pi$
$857$	24.8281			0.848112			0.424056	+	0.905636i	$0.360606\pi$
$858$	−1.96223	−	14.2946i	−0.0669896	−	0.488010i
$859$	42.2698			1.44223			0.721113	−	0.692817i	$-0.243631\pi$
$859$	42.2698			1.44223			0.721113	+	0.692817i	$0.243631\pi$
$860$	−0.974925	+	0.261230i	−0.0332447	+	0.00890788i
$861$	10.4470	−	1.28418i	0.356032	−	0.0437647i
$862$	23.8363	−	13.7619i	0.811869	−	0.468733i
$863$	25.2984	+	25.2984i	0.861169	+	0.861169i	0.991474	−	0.130305i	$-0.0415956\pi$
$863$	25.2984	+	25.2984i	0.861169	+	0.861169i	−0.130305	+	0.991474i	$0.541596\pi$
$864$	−5.16746	+	0.545266i	−0.175801	+	0.0185503i
$865$	−0.747053	+	2.78804i	−0.0254006	+	0.0947962i
$866$	17.6962	−	17.6962i	0.601341	−	0.601341i
$867$	−20.7528	−	8.80569i	−0.704802	−	0.299057i
$868$	−4.25264	−	2.45526i	−0.144344	−	0.0833371i
$869$	−5.68250	−	21.2074i	−0.192766	−	0.719412i
$870$	0.986330	−	0.743465i	0.0334397	−	0.0252058i
$871$	2.58608	+	0.653977i	0.0876260	+	0.0221592i
$872$			7.20696i			0.244058i
$873$	−2.23397	−	0.0383828i	−0.0756084	−	0.00129906i
$874$	3.48562	−	6.03727i	0.117903	−	0.204214i
$875$	0.663703	+	1.14957i	0.0224373	+	0.0388625i
$876$	1.53529	−	10.9350i	0.0518727	−	0.369460i
$877$	−19.1280	−	5.12534i	−0.645907	−	0.173070i	−0.0790296	−	0.996872i	$-0.525182\pi$
$877$	−19.1280	−	5.12534i	−0.645907	−	0.173070i	−0.566878	+	0.823802i	$0.691849\pi$
$878$	−20.6122	−	5.52303i	−0.695629	−	0.186393i
$879$	−1.36721	+	9.73788i	−0.0461149	+	0.328451i
$880$	−0.153616	−	0.266070i	−0.00517839	−	0.00896923i
$881$	−22.9691	+	39.7837i	−0.773850	+	1.34035i	0.161589	+	0.986858i	$0.448338\pi$
$881$	−22.9691	+	39.7837i	−0.773850	+	1.34035i	−0.935439	+	0.353489i	$0.884995\pi$
$882$	−2.99956	−	0.0515367i	−0.101000	−	0.00173533i
$883$		−	51.3077i		−	1.72664i	−0.504656	−	0.863320i	$-0.668381\pi$
$883$		−	51.3077i		−	1.72664i	0.504656	−	0.863320i	$-0.331619\pi$
$884$	−6.18140	+	3.68608i	−0.207903	+	0.123976i
$885$	−0.692709	+	0.522143i	−0.0232852	+	0.0175516i
$886$	−2.75697	−	10.2891i	−0.0926222	−	0.345671i
$887$	26.4418	+	15.2662i	0.887829	+	0.512589i	0.873232	−	0.487305i	$-0.162020\pi$
$887$	26.4418	+	15.2662i	0.887829	+	0.512589i	0.0145975	+	0.999893i	$0.495353\pi$
$888$	−9.76143	−	4.14190i	−0.327572	−	0.138993i
$889$	7.28021	−	7.28021i	0.244170	−	0.244170i
$890$	0.317594	−	1.18528i	0.0106458	−	0.0397306i
$891$	−14.1897	−	15.1999i	−0.475374	−	0.509217i
$892$	−12.3379	−	12.3379i	−0.413102	−	0.413102i
$893$	6.41329	−	3.70271i	0.214612	−	0.123907i
$894$	31.4243	−	3.86278i	1.05099	−	0.129191i
$895$	1.42542	−	0.381939i	0.0476464	−	0.0127668i
$896$	−1.00000			−0.0334077
$897$	−9.12695	+	7.08372i	−0.304740	+	0.236519i
$898$	−4.30745			−0.143742
$899$	25.4365	−	6.81569i	0.848355	−	0.227316i
$900$	10.3860	+	10.7491i	0.346199	+	0.358303i
$901$	−16.5053	+	9.52934i	−0.549871	+	0.317468i
$902$	9.92807	+	9.92807i	0.330569	+	0.330569i
$903$	−12.1887	+	4.92650i	−0.405615	+	0.163944i
$904$	1.23695	−	4.61637i	0.0411405	−	0.153538i
$905$	0.988264	−	0.988264i	0.0328510	−	0.0328510i
$906$	−16.0570	+	37.8424i	−0.533459	+	1.25723i
$907$	−14.7762	−	8.53105i	−0.490636	−	0.283269i	0.234202	−	0.972188i	$-0.424752\pi$
$907$	−14.7762	−	8.53105i	−0.490636	−	0.283269i	−0.724838	+	0.688919i	$0.758086\pi$
$908$	−2.87165	−	10.7171i	−0.0952989	−	0.355661i
$909$	−9.30011	+	32.4668i	−0.308465	+	1.07686i
$910$	−0.130612	−	0.461317i	−0.00432976	−	0.0152925i
$911$		−	23.2425i		−	0.770059i	−0.922904	−	0.385029i	$-0.874191\pi$
$911$		−	23.2425i		−	0.770059i	0.922904	−	0.385029i	$-0.125809\pi$
$912$	5.14367	+	4.01754i	0.170324	+	0.133034i
$913$	8.01371	−	13.8802i	0.265215	−	0.459366i
$914$	5.17560	+	8.96440i	0.171194	+	0.296516i
$915$	−2.00281	−	0.281197i	−0.0662108	−	0.00929609i
$916$	3.80858	+	1.02051i	0.125839	+	0.0337185i
$917$	−12.5249	−	3.35604i	−0.413609	−	0.110826i
$918$	−4.21478	+	9.47702i	−0.139109	+	0.312788i
$919$	3.90317	+	6.76050i	0.128754	+	0.223008i	0.923194	−	0.384334i	$-0.125569\pi$
$919$	3.90317	+	6.76050i	0.128754	+	0.223008i	−0.794440	+	0.607342i	$0.792236\pi$
$920$	−0.123004	+	0.213049i	−0.00405532	+	0.00702401i
$921$	−6.26609	+	8.02249i	−0.206475	+	0.264350i
$922$			20.2720i			0.667623i
$923$	−27.6091	−	26.8409i	−0.908766	−	0.883478i
$924$	−2.40877	−	3.19564i	−0.0792428	−	0.105129i
$925$	7.89458	+	29.4630i	0.259572	+	0.968737i
$926$	−17.9968	−	10.3905i	−0.591413	−	0.341452i
$927$	−4.62330	−	18.5215i	−0.151849	−	0.608325i
$928$	3.79202	−	3.79202i	0.124479	−	0.124479i
$929$	7.38461	−	27.5597i	0.242281	−	0.904205i	−0.732449	−	0.680821i	$-0.761623\pi$
$929$	7.38461	−	27.5597i	0.242281	−	0.904205i	0.974731	−	0.223384i	$-0.0717103\pi$
$930$	−0.423822	−	1.04858i	−0.0138977	−	0.0343844i
$931$	2.66452	+	2.66452i	0.0873261	+	0.0873261i
$932$	0.405087	−	0.233877i	0.0132691	−	0.00766091i
$933$	2.63515	+	21.4374i	0.0862710	+	0.701828i
$934$	−22.5727	+	6.04834i	−0.738602	+	0.197908i
$935$	−0.613262			−0.0200558
$936$	−5.37953	−	9.38406i	−0.175836	−	0.306728i
$937$	−8.08977			−0.264281			−0.132141	−	0.991231i	$-0.542185\pi$
$937$	−8.08977			−0.264281			−0.132141	+	0.991231i	$0.542185\pi$
$938$	0.714619	−	0.191482i	0.0233331	−	0.00625210i
$939$	−4.69773	−	38.2167i	−0.153305	−	1.24716i
$940$	−0.226318	+	0.130665i	−0.00738168	+	0.00426181i
$941$	2.66597	+	2.66597i	0.0869081	+	0.0869081i	0.749224	−	0.662316i	$-0.230426\pi$
$941$	2.66597	+	2.66597i	0.0869081	+	0.0869081i	−0.662316	+	0.749224i	$0.730426\pi$
$942$	7.61284	+	18.8350i	0.248040	+	0.613678i
$943$	2.90977	−	10.8594i	0.0947552	−	0.353631i
$944$	−2.66317	+	2.66317i	−0.0866789	+	0.0866789i
$945$	−0.537157	−	0.434616i	−0.0174737	−	0.0141381i
$946$	−15.1873	−	8.76836i	−0.493780	−	0.285084i
$947$	11.7312	+	43.7816i	0.381214	+	1.42271i	0.844049	+	0.536267i	$0.180166\pi$
$947$	11.7312	+	43.7816i	0.381214	+	1.42271i	−0.462834	+	0.886445i	$0.653167\pi$
$948$	−9.90724	−	13.1436i	−0.321772	−	0.426885i
$949$	22.1169	−	6.26195i	0.717946	−	0.203271i
$950$		−	18.7744i		−	0.609121i
$951$	29.7312	−	38.0649i	0.964099	−	1.23434i
$952$	−0.998045	+	1.72867i	−0.0323468	+	0.0560264i
$953$	−23.5890	−	40.8573i	−0.764121	−	1.32350i	−0.940710	−	0.339212i	$-0.889840\pi$
$953$	−23.5890	−	40.8573i	−0.764121	−	1.32350i	0.176589	−	0.984285i	$-0.443494\pi$
$954$	−13.8937	−	25.0488i	−0.449827	−	0.810985i
$955$	1.95096	+	0.522759i	0.0631317	+	0.0169161i
$956$	−17.3097	−	4.63812i	−0.559836	−	0.150008i
$957$	21.2520	+	2.98382i	0.686981	+	0.0964531i
$958$	5.41236	+	9.37448i	0.174865	+	0.302876i
$959$	−10.6963	+	18.5266i	−0.345403	+	0.598255i
$960$	−0.181515	−	0.141775i	−0.00585836	−	0.00457576i
$961$			6.88671i			0.222152i
$962$	−0.311418	−	22.0714i	−0.0100405	−	0.711611i
$963$	28.7389	+	8.23225i	0.926100	+	0.265281i
$964$	−5.24682	−	19.5814i	−0.168989	−	0.630674i
$965$	1.90215	+	1.09821i	0.0612324	+	0.0353525i
$966$	−1.25163	+	2.94977i	−0.0402704	+	0.0949073i
$967$	9.59791	−	9.59791i	0.308648	−	0.308648i	−0.535737	−	0.844385i	$-0.679966\pi$
$967$	9.59791	−	9.59791i	0.308648	−	0.308648i	0.844385	+	0.535737i	$0.179966\pi$
$968$	−1.46541	+	5.46897i	−0.0471000	+	0.175779i
$969$	12.0786	−	4.88199i	0.388021	−	0.156832i
$970$	−0.0700289	−	0.0700289i	−0.00224849	−	0.00224849i
$971$	35.4314	−	20.4563i	1.13705	−	0.656474i	0.191349	−	0.981522i	$-0.438714\pi$
$971$	35.4314	−	20.4563i	1.13705	−	0.656474i	0.945698	+	0.325048i	$0.105380\pi$
$972$	−14.1324	−	6.57830i	−0.453298	−	0.210999i
$973$	13.4137	−	3.59419i	0.430023	−	0.115224i
$974$	6.54146			0.209602
$975$	−11.7482	+	28.8114i	−0.376244	+	0.922703i
$976$	−8.78103			−0.281074
$977$	−24.1280	+	6.46508i	−0.771923	+	0.206836i	−0.623221	−	0.782046i	$-0.714176\pi$
$977$	−24.1280	+	6.46508i	−0.771923	+	0.206836i	−0.148702	+	0.988882i	$0.547510\pi$
$978$	−19.0161	+	2.33752i	−0.608067	+	0.0747456i
$979$	18.4641	−	10.6602i	0.590114	−	0.340703i
$980$	−0.0940280	−	0.0940280i	−0.00300362	−	0.00300362i
$981$	−11.1305	+	18.5358i	−0.355370	+	0.591801i
$982$	−2.80834	+	10.4809i	−0.0896177	+	0.334458i
$983$	12.0498	−	12.0498i	0.384328	−	0.384328i	−0.488331	−	0.872659i	$-0.662394\pi$
$983$	12.0498	−	12.0498i	0.384328	−	0.384328i	0.872659	+	0.488331i	$0.162394\pi$
$984$	9.68943	+	4.11136i	0.308888	+	0.131065i
$985$	−1.32587	−	0.765490i	−0.0422456	−	0.0243905i
$986$	−2.77053	−	10.3397i	−0.0882315	−	0.329284i
$987$	−2.71820	+	2.04889i	−0.0865211	+	0.0652169i
$988$	−3.33093	+	13.1718i	−0.105971	+	0.419051i
$989$			14.0421i			0.446512i
$990$	0.0158337	−	0.921559i	0.000503228	−	0.0292891i
$991$	−20.9098	+	36.2169i	−0.664223	+	1.15047i	0.315272	+	0.949001i	$0.397904\pi$
$991$	−20.9098	+	36.2169i	−0.664223	+	1.15047i	−0.979495	+	0.201467i	$0.935429\pi$
$992$	−2.45526	−	4.25264i	−0.0779547	−	0.135022i
$993$	3.16450	−	22.5389i	0.100422	−	0.715251i
$994$	−10.3157	−	2.76408i	−0.327194	−	0.0876714i
$995$	−0.689016	−	0.184621i	−0.0218433	−	0.00585288i
$996$	1.67057	−	11.8985i	0.0529339	−	0.377018i
$997$	−18.2345	−	31.5830i	−0.577491	−	1.00024i	−0.995766	−	0.0919236i	$-0.970698\pi$
$997$	−18.2345	−	31.5830i	−0.577491	−	1.00024i	0.418275	−	0.908321i	$-0.362635\pi$
$998$	6.40390	−	11.0919i	0.202712	−	0.351107i
$999$	−18.7089	−	25.7283i	−0.591922	−	0.814008i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	546.2.bu.b.71.3	yes	56
3.2	odd	2		546.2.bu.a.71.13	✓	56
13.11	odd	12		546.2.bu.a.323.13	yes	56
39.11	even	12	inner	546.2.bu.b.323.3	yes	56

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
546.2.bu.a.71.13	✓	56	3.2	odd	2
546.2.bu.a.323.13	yes	56	13.11	odd	12
546.2.bu.b.71.3	yes	56	1.1	even	1	trivial
546.2.bu.b.323.3	yes	56	39.11	even	12	inner

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:	\( N \)	\(=\)	\( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	546.bu (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.965926 + 0.258819i) q^{2} +(-0.211319 - 1.71911i) q^{3} +(0.866025 - 0.500000i) q^{4} +(0.0940280 + 0.0940280i) q^{5} +(0.649057 + 1.60584i) q^{6} +(-0.258819 + 0.965926i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(-2.91069 + 0.726562i) q^{9} +O(q^{10})\)	\(q+(-0.965926 + 0.258819i) q^{2} +(-0.211319 - 1.71911i) q^{3} +(0.866025 - 0.500000i) q^{4} +(0.0940280 + 0.0940280i) q^{5} +(0.649057 + 1.60584i) q^{6} +(-0.258819 + 0.965926i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(-2.91069 + 0.726562i) q^{9} +(-0.115160 - 0.0664879i) q^{10} +(-0.597984 - 2.23171i) q^{11} +(-1.04256 - 1.38313i) q^{12} +(1.75854 - 3.14762i) q^{13} -1.00000i q^{14} +(0.141775 - 0.181515i) q^{15} +(0.500000 - 0.866025i) q^{16} +(-0.998045 - 1.72867i) q^{17} +(2.62346 - 1.45515i) q^{18} +(-3.63980 - 0.975282i) q^{19} +(0.128445 + 0.0344166i) q^{20} +(1.71523 + 0.240820i) q^{21} +(1.15522 + 2.00089i) q^{22} +(0.925009 - 1.60216i) q^{23} +(1.36502 + 1.06617i) q^{24} -4.98232i q^{25} +(-0.883958 + 3.49551i) q^{26} +(1.86412 + 4.85026i) q^{27} +(0.258819 + 0.965926i) q^{28} +(-4.64426 - 2.68136i) q^{29} +(-0.0899645 + 0.212024i) q^{30} +(-3.47227 + 3.47227i) q^{31} +(-0.258819 + 0.965926i) q^{32} +(-3.71019 + 1.49960i) q^{33} +(1.41145 + 1.41145i) q^{34} +(-0.115160 + 0.0664879i) q^{35} +(-2.15745 + 2.08457i) q^{36} +(-5.91351 + 1.58452i) q^{37} +3.76820 q^{38} +(-5.78273 - 2.35798i) q^{39} -0.132976 q^{40} +(5.86989 - 1.57283i) q^{41} +(-1.71911 + 0.211319i) q^{42} +(-6.57334 + 3.79512i) q^{43} +(-1.63372 - 1.63372i) q^{44} +(-0.342003 - 0.205369i) q^{45} +(-0.478820 + 1.78698i) q^{46} +(-1.38964 + 1.38964i) q^{47} +(-1.59445 - 0.676548i) q^{48} +(-0.866025 - 0.500000i) q^{49} +(1.28952 + 4.81255i) q^{50} +(-2.76086 + 2.08105i) q^{51} +(-0.0508677 - 3.60519i) q^{52} -9.54800i q^{53} +(-3.05595 - 4.20252i) q^{54} +(0.153616 - 0.266070i) q^{55} +(-0.500000 - 0.866025i) q^{56} +(-0.907459 + 6.46332i) q^{57} +(5.17999 + 1.38798i) q^{58} +(-3.63796 - 0.974789i) q^{59} +(0.0320232 - 0.228084i) q^{60} +(-4.39051 - 7.60459i) q^{61} +(2.45526 - 4.25264i) q^{62} +(0.0515367 - 2.99956i) q^{63} -1.00000i q^{64} +(0.461317 - 0.130612i) q^{65} +(3.19564 - 2.40877i) q^{66} +(0.191482 + 0.714619i) q^{67} +(-1.72867 - 0.998045i) q^{68} +(-2.94977 - 1.25163i) q^{69} +(0.0940280 - 0.0940280i) q^{70} +(2.76408 - 10.3157i) q^{71} +(1.54441 - 2.57192i) q^{72} +(4.50799 + 4.50799i) q^{73} +(5.30191 - 3.06106i) q^{74} +(-8.56516 + 1.05286i) q^{75} +(-3.63980 + 0.975282i) q^{76} +2.31043 q^{77} +(6.19598 + 0.780954i) q^{78} +9.50277 q^{79} +(0.128445 - 0.0344166i) q^{80} +(7.94422 - 4.22959i) q^{81} +(-5.26280 + 3.03848i) q^{82} +(4.90518 + 4.90518i) q^{83} +(1.60584 - 0.649057i) q^{84} +(0.0686988 - 0.256387i) q^{85} +(5.36711 - 5.36711i) q^{86} +(-3.62814 + 8.55062i) q^{87} +(2.00089 + 1.15522i) q^{88} +(2.38836 + 8.91348i) q^{89} +(0.383503 + 0.109854i) q^{90} +(2.58522 + 2.51329i) q^{91} -1.85002i q^{92} +(6.70297 + 5.23546i) q^{93} +(0.982621 - 1.70195i) q^{94} +(-0.250540 - 0.433947i) q^{95} +(1.71523 + 0.240820i) q^{96} +(0.719389 + 0.192760i) q^{97} +(0.965926 + 0.258819i) q^{98} +(3.36202 + 6.06133i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 56 q + 8 q^{6} - 24 q^{9}+O(q^{10}) \) 56 * q + 8 * q^6 - 24 * q^9	\( 56 q + 8 q^{6} - 24 q^{9} + 24 q^{10} + 8 q^{11} + 24 q^{13} + 4 q^{15} + 28 q^{16} - 4 q^{17} - 8 q^{18} + 8 q^{19} + 4 q^{21} - 8 q^{23} - 8 q^{24} - 4 q^{26} - 24 q^{27} - 8 q^{30} - 8 q^{31} + 8 q^{33} - 24 q^{34} + 24 q^{35} - 12 q^{36} - 8 q^{37} - 20 q^{39} - 28 q^{41} + 8 q^{44} + 72 q^{45} - 20 q^{46} + 64 q^{50} + 16 q^{54} + 8 q^{55} - 28 q^{56} + 4 q^{58} - 8 q^{59} + 20 q^{60} + 8 q^{61} - 32 q^{62} - 16 q^{63} - 24 q^{65} + 32 q^{66} - 16 q^{69} - 112 q^{71} + 8 q^{73} + 48 q^{74} + 40 q^{75} + 8 q^{76} + 16 q^{79} + 12 q^{81} - 4 q^{83} - 4 q^{84} + 32 q^{85} - 16 q^{86} - 144 q^{87} + 88 q^{89} - 8 q^{90} - 8 q^{91} + 52 q^{93} - 8 q^{94} - 48 q^{95} + 4 q^{96} - 64 q^{97} + 56 q^{99}+O(q^{100}) \) 56 * q + 8 * q^6 - 24 * q^9 + 24 * q^10 + 8 * q^11 + 24 * q^13 + 4 * q^15 + 28 * q^16 - 4 * q^17 - 8 * q^18 + 8 * q^19 + 4 * q^21 - 8 * q^23 - 8 * q^24 - 4 * q^26 - 24 * q^27 - 8 * q^30 - 8 * q^31 + 8 * q^33 - 24 * q^34 + 24 * q^35 - 12 * q^36 - 8 * q^37 - 20 * q^39 - 28 * q^41 + 8 * q^44 + 72 * q^45 - 20 * q^46 + 64 * q^50 + 16 * q^54 + 8 * q^55 - 28 * q^56 + 4 * q^58 - 8 * q^59 + 20 * q^60 + 8 * q^61 - 32 * q^62 - 16 * q^63 - 24 * q^65 + 32 * q^66 - 16 * q^69 - 112 * q^71 + 8 * q^73 + 48 * q^74 + 40 * q^75 + 8 * q^76 + 16 * q^79 + 12 * q^81 - 4 * q^83 - 4 * q^84 + 32 * q^85 - 16 * q^86 - 144 * q^87 + 88 * q^89 - 8 * q^90 - 8 * q^91 + 52 * q^93 - 8 * q^94 - 48 * q^95 + 4 * q^96 - 64 * q^97 + 56 * q^99

Introduction

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