LMFDB - Embedded newform 418.2.q.b.21.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [418,2,Mod(21,418)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(418, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([9, 1]))

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

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

chi := DirichletCharacter("418.21");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 418 = 2 \cdot 11 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	418.q (of order $18$, degree $6$, 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:	$3.33774680449$
Analytic rank:	$0$
Dimension:	$60$
Relative dimension:	$10$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			21.3
Character	$\chi$	$=$	418.21
Dual form			418.2.q.b.219.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.173648 - 0.984808i) q^{2} +(-1.49082 + 1.77669i) q^{3} +(-0.939693 - 0.342020i) q^{4} +(1.76584 - 0.642714i) q^{5} +(1.49082 + 1.77669i) q^{6} +(-3.47026 + 2.00356i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(-0.413143 - 2.34305i) q^{9} +O(q^{10})$	\(q+(0.173648 - 0.984808i) q^{2} +(-1.49082 + 1.77669i) q^{3} +(-0.939693 - 0.342020i) q^{4} +(1.76584 - 0.642714i) q^{5} +(1.49082 + 1.77669i) q^{6} +(-3.47026 + 2.00356i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(-0.413143 - 2.34305i) q^{9} +(-0.326315 - 1.85062i) q^{10} +(-0.728992 - 3.23552i) q^{11} +(2.00858 - 1.15965i) q^{12} +(-0.998712 + 0.838019i) q^{13} +(1.37051 + 3.76545i) q^{14} +(-1.49065 + 4.09554i) q^{15} +(0.766044 + 0.642788i) q^{16} +(-4.48393 - 0.790638i) q^{17} -2.37920 q^{18} +(-0.587783 + 4.31909i) q^{19} -1.87917 q^{20} +(1.61384 - 9.15254i) q^{21} +(-3.31295 + 0.156075i) q^{22} +(-6.68288 - 2.43237i) q^{23} +(-0.793251 - 2.17944i) q^{24} +(-1.12510 + 0.944072i) q^{25} +(0.651863 + 1.12906i) q^{26} +(-1.24694 - 0.719918i) q^{27} +(3.94623 - 0.695828i) q^{28} +(-0.856200 - 4.85575i) q^{29} +(3.77447 + 2.17919i) q^{30} +(-0.298070 + 0.172091i) q^{31} +(0.766044 - 0.642788i) q^{32} +(6.83532 + 3.52839i) q^{33} +(-1.55725 + 4.27852i) q^{34} +(-4.84022 + 5.76835i) q^{35} +(-0.413143 + 2.34305i) q^{36} +8.33044i q^{37} +(4.15140 + 1.32885i) q^{38} -3.02374i q^{39} +(-0.326315 + 1.85062i) q^{40} +(-2.30773 - 1.93641i) q^{41} +(-8.73325 - 3.17864i) q^{42} +(2.21878 + 6.09606i) q^{43} +(-0.421584 + 3.28972i) q^{44} +(-2.23546 - 3.87193i) q^{45} +(-3.55589 + 6.15898i) q^{46} +(2.28442 + 12.9556i) q^{47} +(-2.28407 + 0.402744i) q^{48} +(4.52847 - 7.84354i) q^{49} +(0.734357 + 1.27194i) q^{50} +(8.08948 - 6.78788i) q^{51} +(1.22510 - 0.445901i) q^{52} +(4.54244 - 12.4803i) q^{53} +(-0.925509 + 1.10298i) q^{54} +(-3.36680 - 5.24488i) q^{55} -4.00711i q^{56} +(-6.79742 - 7.48331i) q^{57} -4.93066 q^{58} +(1.51002 + 0.266257i) q^{59} +(2.80151 - 3.33871i) q^{60} +(-0.394016 + 1.08255i) q^{61} +(0.117717 + 0.323425i) q^{62} +(6.12815 + 7.30324i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(-1.22496 + 2.12170i) q^{65} +(4.66173 - 6.11878i) q^{66} +(-4.66441 + 0.822462i) q^{67} +(3.94311 + 2.27655i) q^{68} +(14.2846 - 8.24720i) q^{69} +(4.84022 + 5.76835i) q^{70} +(-1.53084 - 4.20595i) q^{71} +(2.23571 + 0.813733i) q^{72} +(4.54811 - 5.42023i) q^{73} +(8.20388 + 1.44657i) q^{74} -3.40640i q^{75} +(2.02955 - 3.85758i) q^{76} +(9.01233 + 9.76751i) q^{77} +(-2.97781 - 0.525068i) q^{78} +(2.33434 + 1.95874i) q^{79} +(1.76584 + 0.642714i) q^{80} +(9.84517 - 3.58335i) q^{81} +(-2.30773 + 1.93641i) q^{82} +(3.25407 - 1.87874i) q^{83} +(-4.64687 + 8.04861i) q^{84} +(-8.42608 + 1.48575i) q^{85} +(6.38873 - 1.12651i) q^{86} +(9.90363 + 5.71786i) q^{87} +(3.16654 + 0.986433i) q^{88} +(5.68283 + 6.77253i) q^{89} +(-4.20129 + 1.52914i) q^{90} +(1.78677 - 4.90912i) q^{91} +(5.44794 + 4.57136i) q^{92} +(0.138617 - 0.786137i) q^{93} +13.1554 q^{94} +(1.73801 + 8.00461i) q^{95} +2.31931i q^{96} +(-6.71030 - 1.18321i) q^{97} +(-6.93802 - 5.82169i) q^{98} +(-7.27980 + 3.04480i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 60 q - 3 q^{3} + 3 q^{6} + 18 q^{7} - 30 q^{8} - 3 q^{9}+O(q^{10}) $ 60 * q - 3 * q^3 + 3 * q^6 + 18 * q^7 - 30 * q^8 - 3 * q^9	$ 60 q - 3 q^{3} + 3 q^{6} + 18 q^{7} - 30 q^{8} - 3 q^{9} + 3 q^{11} - 6 q^{13} - 12 q^{14} + 24 q^{15} + 6 q^{17} - 60 q^{18} + 30 q^{19} - 12 q^{20} - 12 q^{21} + 12 q^{22} - 3 q^{24} - 12 q^{25} + 6 q^{26} + 9 q^{27} - 6 q^{28} + 3 q^{29} - 9 q^{31} + 9 q^{33} - 6 q^{34} + 24 q^{35} - 3 q^{36} + 6 q^{38} - 15 q^{41} + 6 q^{42} + 3 q^{43} - 12 q^{44} - 48 q^{45} - 3 q^{46} + 54 q^{47} - 6 q^{48} + 6 q^{49} - 36 q^{50} + 45 q^{51} + 3 q^{52} + 24 q^{53} + 27 q^{54} - 48 q^{55} - 30 q^{57} + 24 q^{58} - 39 q^{59} + 12 q^{60} - 54 q^{61} + 66 q^{63} - 30 q^{64} - 30 q^{66} + 9 q^{67} + 27 q^{68} + 54 q^{69} - 24 q^{70} - 33 q^{71} + 6 q^{72} - 12 q^{74} + 18 q^{77} - 36 q^{79} - 93 q^{81} - 15 q^{82} + 36 q^{83} - 24 q^{84} + 60 q^{85} - 3 q^{86} - 54 q^{87} + 3 q^{88} - 3 q^{89} + 24 q^{90} - 12 q^{91} - 102 q^{93} + 12 q^{94} - 24 q^{95} - 6 q^{97} + 18 q^{98} + 75 q^{99}+O(q^{100}) $ 60 * q - 3 * q^3 + 3 * q^6 + 18 * q^7 - 30 * q^8 - 3 * q^9 + 3 * q^11 - 6 * q^13 - 12 * q^14 + 24 * q^15 + 6 * q^17 - 60 * q^18 + 30 * q^19 - 12 * q^20 - 12 * q^21 + 12 * q^22 - 3 * q^24 - 12 * q^25 + 6 * q^26 + 9 * q^27 - 6 * q^28 + 3 * q^29 - 9 * q^31 + 9 * q^33 - 6 * q^34 + 24 * q^35 - 3 * q^36 + 6 * q^38 - 15 * q^41 + 6 * q^42 + 3 * q^43 - 12 * q^44 - 48 * q^45 - 3 * q^46 + 54 * q^47 - 6 * q^48 + 6 * q^49 - 36 * q^50 + 45 * q^51 + 3 * q^52 + 24 * q^53 + 27 * q^54 - 48 * q^55 - 30 * q^57 + 24 * q^58 - 39 * q^59 + 12 * q^60 - 54 * q^61 + 66 * q^63 - 30 * q^64 - 30 * q^66 + 9 * q^67 + 27 * q^68 + 54 * q^69 - 24 * q^70 - 33 * q^71 + 6 * q^72 - 12 * q^74 + 18 * q^77 - 36 * q^79 - 93 * q^81 - 15 * q^82 + 36 * q^83 - 24 * q^84 + 60 * q^85 - 3 * q^86 - 54 * q^87 + 3 * q^88 - 3 * q^89 + 24 * q^90 - 12 * q^91 - 102 * q^93 + 12 * q^94 - 24 * q^95 - 6 * q^97 + 18 * q^98 + 75 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/418\mathbb{Z}\right)^\times$.

$n$	$287$	$343$
$\chi(n)$	$e\left(\frac{1}{18}\right)$	$-1$

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 $

$2$	0.173648	−	0.984808i	0.122788	−	0.696364i
$2$	0.173648	−	0.984808i	0.122788	−	0.696364i
$3$	−1.49082	+	1.77669i	−0.860727	+	1.02577i	0.138645	+	0.990342i	$0.455725\pi$
$3$	−1.49082	+	1.77669i	−0.860727	+	1.02577i	−0.999372	+	0.0354326i	$0.988719\pi$
$4$	−0.939693	−	0.342020i	−0.469846	−	0.171010i
$5$	1.76584	−	0.642714i	0.789709	−	0.287431i	0.0844940	−	0.996424i	$-0.473073\pi$
$5$	1.76584	−	0.642714i	0.789709	−	0.287431i	0.705215	+	0.708993i	$0.250850\pi$
$6$	1.49082	+	1.77669i	0.608626	+	0.725332i
$7$	−3.47026	+	2.00356i	−1.31164	+	0.757273i	−0.982367	−	0.186964i	$-0.940135\pi$
$7$	−3.47026	+	2.00356i	−1.31164	+	0.757273i	−0.329268	+	0.944236i	$0.606802\pi$
$8$	−0.500000	+	0.866025i	−0.176777	+	0.306186i
$9$	−0.413143	−	2.34305i	−0.137714	−	0.781017i
$10$	−0.326315	−	1.85062i	−0.103190	−	0.585218i
$11$	−0.728992	−	3.23552i	−0.219799	−	0.975545i
$11$	−0.728992	−	3.23552i	−0.219799	−	0.975545i
$12$	2.00858	−	1.15965i	0.579827	−	0.334763i
$13$	−0.998712	+	0.838019i	−0.276993	+	0.232425i	−0.770692	−	0.637208i	$-0.780089\pi$
$13$	−0.998712	+	0.838019i	−0.276993	+	0.232425i	0.493699	+	0.869633i	$0.335645\pi$
$14$	1.37051	+	3.76545i	0.366285	+	1.00636i
$15$	−1.49065	+	4.09554i	−0.384885	+	1.05746i
$16$	0.766044	+	0.642788i	0.191511	+	0.160697i
$17$	−4.48393	−	0.790638i	−1.08751	−	0.191758i	−0.398978	−	0.916960i	$-0.630635\pi$
$17$	−4.48393	−	0.790638i	−1.08751	−	0.191758i	−0.688536	+	0.725202i	$0.741746\pi$
$18$	−2.37920			−0.560782
$19$	−0.587783	+	4.31909i	−0.134847	+	0.990866i
$19$	−0.587783	+	4.31909i	−0.134847	+	0.990866i
$20$	−1.87917			−0.420196
$21$	1.61384	−	9.15254i	0.352169	−	1.99725i
$22$	−3.31295	+	0.156075i	−0.706323	+	0.0332754i
$23$	−6.68288	−	2.43237i	−1.39348	−	0.507184i	−0.467242	−	0.884130i	$-0.654752\pi$
$23$	−6.68288	−	2.43237i	−1.39348	−	0.507184i	−0.926235	+	0.376945i	$0.876974\pi$
$24$	−0.793251	−	2.17944i	−0.161922	−	0.444876i
$25$	−1.12510	+	0.944072i	−0.225020	+	0.188814i
$26$	0.651863	+	1.12906i	0.127841	+	0.221427i
$27$	−1.24694	−	0.719918i	−0.239973	−	0.138548i
$28$	3.94623	−	0.695828i	0.745768	−	0.131499i
$29$	−0.856200	−	4.85575i	−0.158992	−	0.901691i	−0.955044	−	0.296463i	$-0.904193\pi$
$29$	−0.856200	−	4.85575i	−0.158992	−	0.901691i	0.796052	−	0.605228i	$-0.206918\pi$
$30$	3.77447	+	2.17919i	0.689120	+	0.397864i
$31$	−0.298070	+	0.172091i	−0.0535350	+	0.0309084i	−0.526529	−	0.850157i	$-0.676507\pi$
$31$	−0.298070	+	0.172091i	−0.0535350	+	0.0309084i	0.472994	+	0.881066i	$0.343173\pi$
$32$	0.766044	−	0.642788i	0.135419	−	0.113630i
$33$	6.83532	+	3.52839i	1.18988	+	0.614214i
$34$	−1.55725	+	4.27852i	−0.267067	+	0.733760i
$35$	−4.84022	+	5.76835i	−0.818147	+	0.975030i
$36$	−0.413143	+	2.34305i	−0.0688572	+	0.390508i
$37$			8.33044i			1.36952i	0.728771	+	0.684758i	$0.240092\pi$
$37$			8.33044i			1.36952i	−0.728771	+	0.684758i	$0.759908\pi$
$38$	4.15140	+	1.32885i	0.673446	+	0.215569i
$39$		−	3.02374i		−	0.484187i
$40$	−0.326315	+	1.85062i	−0.0515949	+	0.292609i
$41$	−2.30773	−	1.93641i	−0.360406	−	0.302417i	0.444546	−	0.895756i	$-0.353365\pi$
$41$	−2.30773	−	1.93641i	−0.360406	−	0.302417i	−0.804953	+	0.593339i	$0.797809\pi$
$42$	−8.73325	−	3.17864i	−1.34757	−	0.490475i
$43$	2.21878	+	6.09606i	0.338361	+	0.929640i	0.985860	+	0.167573i	$0.0535930\pi$
$43$	2.21878	+	6.09606i	0.338361	+	0.929640i	−0.647498	+	0.762067i	$0.724185\pi$
$44$	−0.421584	+	3.28972i	−0.0635561	+	0.495944i
$45$	−2.23546	−	3.87193i	−0.333242	−	0.577193i
$46$	−3.55589	+	6.15898i	−0.524287	+	0.908092i
$47$	2.28442	+	12.9556i	0.333217	+	1.88977i	0.444172	+	0.895941i	$0.353498\pi$
$47$	2.28442	+	12.9556i	0.333217	+	1.88977i	−0.110956	+	0.993825i	$0.535391\pi$
$48$	−2.28407	+	0.402744i	−0.329678	+	0.0581311i
$49$	4.52847	−	7.84354i	0.646924	−	1.12051i
$50$	0.734357	+	1.27194i	0.103854	+	0.179880i
$51$	8.08948	−	6.78788i	1.13275	−	0.950493i
$52$	1.22510	−	0.445901i	0.169891	−	0.0618353i
$53$	4.54244	−	12.4803i	0.623953	−	1.71430i	−0.0731470	−	0.997321i	$-0.523304\pi$
$53$	4.54244	−	12.4803i	0.623953	−	1.71430i	0.697100	−	0.716974i	$-0.254474\pi$
$54$	−0.925509	+	1.10298i	−0.125946	+	0.150096i
$55$	−3.36680	−	5.24488i	−0.453979	−	0.707220i
$56$		−	4.00711i		−	0.535473i
$57$	−6.79742	−	7.48331i	−0.900340	−	0.991188i
$58$	−4.93066			−0.647427
$59$	1.51002	+	0.266257i	0.196588	+	0.0346637i	0.271075	−	0.962558i	$-0.412621\pi$
$59$	1.51002	+	0.266257i	0.196588	+	0.0346637i	−0.0744873	+	0.997222i	$0.523732\pi$
$60$	2.80151	−	3.33871i	0.361674	−	0.431026i
$61$	−0.394016	+	1.08255i	−0.0504486	+	0.138606i	−0.962358	−	0.271786i	$-0.912386\pi$
$61$	−0.394016	+	1.08255i	−0.0504486	+	0.138606i	0.911909	+	0.410392i	$0.134608\pi$
$62$	0.117717	+	0.323425i	0.0149501	+	0.0410750i
$63$	6.12815	+	7.30324i	0.772074	+	0.920122i
$64$	−0.500000	−	0.866025i	−0.0625000	−	0.108253i
$65$	−1.22496	+	2.12170i	−0.151938	+	0.263164i
$66$	4.66173	−	6.11878i	0.573819	−	0.753170i
$67$	−4.66441	+	0.822462i	−0.569849	+	0.100480i	−0.451146	−	0.892450i	$-0.648985\pi$
$67$	−4.66441	+	0.822462i	−0.569849	+	0.100480i	−0.118703	+	0.992930i	$0.537874\pi$
$68$	3.94311	+	2.27655i	0.478172	+	0.276073i
$69$	14.2846	−	8.24720i	1.71966	−	0.992847i
$70$	4.84022	+	5.76835i	0.578517	+	0.689450i
$71$	−1.53084	−	4.20595i	−0.181677	−	0.499155i	0.815105	−	0.579314i	$-0.196679\pi$
$71$	−1.53084	−	4.20595i	−0.181677	−	0.499155i	−0.996782	+	0.0801591i	$0.974457\pi$
$72$	2.23571	+	0.813733i	0.263481	+	0.0958993i
$73$	4.54811	−	5.42023i	0.532316	−	0.634390i	−0.431131	−	0.902290i	$-0.641885\pi$
$73$	4.54811	−	5.42023i	0.532316	−	0.634390i	0.963447	+	0.267900i	$0.0863296\pi$
$74$	8.20388	+	1.44657i	0.953682	+	0.168160i
$75$		−	3.40640i		−	0.393338i
$76$	2.02955	−	3.85758i	0.232805	−	0.442495i
$77$	9.01233	+	9.76751i	1.02705	+	1.11311i
$78$	−2.97781	−	0.525068i	−0.337170	−	0.0594522i
$79$	2.33434	+	1.95874i	0.262634	+	0.220376i	0.764590	−	0.644517i	$-0.222942\pi$
$79$	2.33434	+	1.95874i	0.262634	+	0.220376i	−0.501956	+	0.864893i	$0.667386\pi$
$80$	1.76584	+	0.642714i	0.197427	+	0.0718577i
$81$	9.84517	−	3.58335i	1.09391	−	0.398150i
$82$	−2.30773	+	1.93641i	−0.254846	+	0.213841i
$83$	3.25407	−	1.87874i	0.357181	−	0.206219i	−0.310663	−	0.950520i	$-0.600551\pi$
$83$	3.25407	−	1.87874i	0.357181	−	0.206219i	0.667843	+	0.744302i	$0.267218\pi$
$84$	−4.64687	+	8.04861i	−0.507015	+	0.878175i
$85$	−8.42608	+	1.48575i	−0.913937	+	0.161152i
$86$	6.38873	−	1.12651i	0.688915	−	0.121474i
$87$	9.90363	+	5.71786i	1.06178	+	0.613019i
$88$	3.16654	+	0.986433i	0.337554	+	0.105154i
$89$	5.68283	+	6.77253i	0.602379	+	0.717887i	0.977934	−	0.208913i	$-0.0669925\pi$
$89$	5.68283	+	6.77253i	0.602379	+	0.717887i	−0.375555	+	0.926800i	$0.622548\pi$
$90$	−4.20129	+	1.52914i	−0.442855	+	0.161186i
$91$	1.78677	−	4.90912i	0.187305	−	0.514616i
$92$	5.44794	+	4.57136i	0.567987	+	0.476597i
$93$	0.138617	−	0.786137i	0.0143739	−	0.0815186i
$94$	13.1554			1.35688
$95$	1.73801	+	8.00461i	0.178316	+	0.821255i
$96$			2.31931i			0.236714i
$97$	−6.71030	−	1.18321i	−0.681328	−	0.120136i	−0.177736	−	0.984078i	$-0.556877\pi$
$97$	−6.71030	−	1.18321i	−0.681328	−	0.120136i	−0.503592	+	0.863942i	$0.667988\pi$
$98$	−6.93802	−	5.82169i	−0.700846	−	0.588080i
$99$	−7.27980	+	3.04480i	−0.731648	+	0.306014i
$100$	1.38014	−	0.502330i	0.138014	−	0.0502330i
$101$	6.54616	+	7.80141i	0.651368	+	0.776270i	0.986120	−	0.166037i	$-0.0530970\pi$
$101$	6.54616	+	7.80141i	0.651368	+	0.776270i	−0.334752	+	0.942306i	$0.608653\pi$
$102$	−5.28003	−	9.14528i	−0.522801	−	0.905518i
$103$	−4.16520	−	2.40478i	−0.410409	−	0.236950i	0.280556	−	0.959838i	$-0.409481\pi$
$103$	−4.16520	−	2.40478i	−0.410409	−	0.236950i	−0.690966	+	0.722888i	$0.742814\pi$
$104$	−0.226390	−	1.28392i	−0.0221993	−	0.125899i
$105$	−3.03268	−	17.1992i	−0.295959	−	1.67847i
$106$	−11.5019	−	6.64061i	−1.11716	−	0.644993i
$107$	−8.32871	−	14.4257i	−0.805166	−	1.39459i	−0.916179	−	0.400770i	$-0.868743\pi$
$107$	−8.32871	−	14.4257i	−0.805166	−	1.39459i	0.111012	−	0.993819i	$-0.464591\pi$
$108$	0.925509	+	1.10298i	0.0890572	+	0.106134i
$109$	9.26646	−	3.37271i	0.887566	−	0.323047i	0.142307	−	0.989823i	$-0.454548\pi$
$109$	9.26646	−	3.37271i	0.887566	−	0.323047i	0.745259	+	0.666775i	$0.232326\pi$
$110$	−5.74984	+	2.40489i	−0.548226	+	0.229297i
$111$	−14.8006	−	12.4192i	−1.40481	−	1.17878i
$112$	−3.94623	−	0.695828i	−0.372884	−	0.0657495i
$113$			14.7910i			1.39142i	0.718322	+	0.695711i	$0.244910\pi$
$113$			14.7910i			1.39142i	−0.718322	+	0.695711i	$0.755090\pi$
$114$	−8.54998	+	5.39469i	−0.800779	+	0.505259i
$115$	−13.3642			−1.24622
$116$	−0.856200	+	4.85575i	−0.0794962	+	0.450845i
$117$	2.37613	+	1.99381i	0.219673	+	0.184328i
$118$	0.524424	−	1.44084i	0.0482771	−	0.132640i
$119$	17.1445	−	6.24009i	1.57163	−	0.572028i
$120$	−2.80151	−	3.33871i	−0.255742	−	0.304781i
$121$	−9.93714	+	4.71733i	−0.903376	+	0.428848i
$122$	0.997684	+	0.576013i	0.0903261	+	0.0521498i
$123$	6.88082	−	1.21327i	0.620423	−	0.109397i
$124$	0.338953	−	0.0597666i	0.0304389	−	0.00536719i
$125$	−6.07791	+	10.5273i	−0.543625	+	0.941586i
$126$	8.25643	−	4.76685i	0.735541	−	0.424665i
$127$	8.99785	−	7.55009i	0.798430	−	0.669962i	−0.149387	−	0.988779i	$-0.547730\pi$
$127$	8.99785	−	7.55009i	0.798430	−	0.669962i	0.947816	+	0.318817i	$0.103285\pi$
$128$	−0.939693	+	0.342020i	−0.0830579	+	0.0302306i
$129$	−14.1386	−	5.14604i	−1.24484	−	0.453084i
$130$	1.87675	+	1.57478i	0.164602	+	0.138117i
$131$	−2.14244	−	0.377771i	−0.187186	−	0.0330060i	0.0792691	−	0.996853i	$-0.474741\pi$
$131$	−2.14244	−	0.377771i	−0.187186	−	0.0330060i	−0.266455	+	0.963847i	$0.585852\pi$
$132$	−5.21632	−	5.65342i	−0.454023	−	0.492067i
$133$	−6.61377	−	16.1660i	−0.573487	−	1.40177i
$134$			4.73637i			0.409160i
$135$	−2.66459	−	0.469840i	−0.229332	−	0.0404374i
$136$	2.92668	−	3.48788i	0.250961	−	0.299083i
$137$	3.41864	+	1.24428i	0.292074	+	0.106306i	0.483902	−	0.875122i	$-0.339219\pi$
$137$	3.41864	+	1.24428i	0.292074	+	0.106306i	−0.191827	+	0.981429i	$0.561441\pi$
$138$	−5.64142	−	15.4997i	−0.480229	−	1.31942i
$139$	12.7078	+	15.1445i	1.07786	+	1.28454i	0.956436	+	0.291941i	$0.0943010\pi$
$139$	12.7078	+	15.1445i	1.07786	+	1.28454i	0.121422	+	0.992601i	$0.461255\pi$
$140$	6.52121	−	3.76502i	0.551143	−	0.318203i
$141$	−26.4238	−	15.2558i	−2.22528	−	1.28477i
$142$	−4.40788	+	0.777228i	−0.369901	+	0.0652236i
$143$	3.43948	+	2.62044i	0.287624	+	0.219132i
$144$	1.18960	−	2.06044i	0.0991332	−	0.171704i
$145$	−4.63278	−	8.02421i	−0.384731	−	0.666374i
$146$	−4.54811	−	5.42023i	−0.376404	−	0.448581i
$147$	7.18442	+	19.7390i	0.592561	+	1.62805i
$148$	2.84918	−	7.82805i	0.234201	−	0.643462i
$149$	−12.1827	+	14.5187i	−0.998043	+	1.18942i	−0.0161727	+	0.999869i	$0.505148\pi$
$149$	−12.1827	+	14.5187i	−0.998043	+	1.18942i	−0.981871	+	0.189552i	$0.939296\pi$
$150$	−3.35465	−	0.591516i	−0.273906	−	0.0482971i
$151$	−12.8371			−1.04467			−0.522333	−	0.852742i	$-0.674938\pi$
$151$	−12.8371			−1.04467			−0.522333	+	0.852742i	$0.674938\pi$
$152$	−3.44655	−	2.66858i	−0.279552	−	0.216450i
$153$			10.8327i			0.875774i
$154$	11.1841	−	7.17930i	0.901240	−	0.578525i
$155$	−0.415740	+	0.495460i	−0.0333930	+	0.0397963i
$156$	−1.03418	+	2.84139i	−0.0828008	+	0.227493i
$157$	−13.6619	+	4.97251i	−1.09034	+	0.396850i	−0.823745	−	0.566960i	$-0.808119\pi$
$157$	−13.6619	+	4.97251i	−1.09034	+	0.396850i	−0.266591	+	0.963810i	$0.585897\pi$
$158$	2.33434	−	1.95874i	0.185710	−	0.155829i
$159$	15.4016	+	26.6764i	1.22143	+	2.11558i
$160$	0.939586	−	1.62741i	0.0742808	−	0.128658i
$161$	28.0647	−	4.94857i	2.21181	−	0.390002i
$162$	−1.81931	−	10.3178i	−0.142939	−	0.810646i
$163$	−3.41707	+	5.91854i	−0.267646	+	0.463576i	−0.968253	−	0.249971i	$-0.919579\pi$
$163$	−3.41707	+	5.91854i	−0.267646	+	0.463576i	0.700608	+	0.713547i	$0.252912\pi$
$164$	1.50626	+	2.60892i	0.117619	+	0.203722i
$165$	14.3379	+	1.83742i	1.11620	+	0.143043i
$166$	−1.28513	−	3.53088i	−0.0997457	−	0.274049i
$167$	10.6389	+	3.87225i	0.823264	+	0.299644i	0.719091	−	0.694916i	$-0.244558\pi$
$167$	10.6389	+	3.87225i	0.823264	+	0.299644i	0.104173	+	0.994559i	$0.466781\pi$
$168$	7.11941	+	5.97390i	0.549274	+	0.460896i
$169$	−1.96228	+	11.1286i	−0.150944	+	0.856048i
$170$			8.55607i			0.656220i
$171$	10.3627	−	0.407196i	0.792454	−	0.0311391i
$172$		−	6.48729i		−	0.494651i
$173$	−1.54709	+	8.77397i	−0.117623	+	0.667073i	0.867795	+	0.496922i	$0.165537\pi$
$173$	−1.54709	+	8.77397i	−0.117623	+	0.667073i	−0.985418	+	0.170151i	$0.945575\pi$
$174$	7.35074	−	8.76028i	0.557258	−	0.664115i
$175$	2.01289	−	5.53038i	0.152160	−	0.418057i
$176$	1.52131	−	2.94714i	0.114673	−	0.222149i
$177$	−2.72423	+	2.28590i	−0.204765	+	0.171819i
$178$	7.65646	−	4.42046i	0.573876	−	0.331327i
$179$	−21.1777	−	12.2270i	−1.58290	−	0.913886i	−0.994434	−	0.105363i	$-0.966400\pi$
$179$	−21.1777	−	12.2270i	−1.58290	−	0.913886i	−0.588464	−	0.808524i	$-0.700267\pi$
$180$	0.776367	+	4.40299i	0.0578670	+	0.328180i
$181$	−9.88436	+	1.74288i	−0.734699	+	0.129547i	−0.528465	−	0.848955i	$-0.677232\pi$
$181$	−9.88436	+	1.74288i	−0.734699	+	0.129547i	−0.206234	+	0.978503i	$0.566121\pi$
$182$	−4.52427	−	2.61209i	−0.335361	−	0.193621i
$183$	−1.33595	−	2.31394i	−0.0987565	−	0.171051i
$184$	5.44794	−	4.57136i	0.401627	−	0.337005i
$185$	5.35409	+	14.7103i	0.393641	+	1.08152i
$186$	−0.750123	−	0.273022i	−0.0550017	−	0.0200190i
$187$	0.710628	+	15.0842i	0.0519663	+	1.10307i
$188$	2.28442	−	12.9556i	0.166608	−	0.944883i
$189$	5.76959			0.419676
$190$	8.18480	−	0.321617i	0.593788	−	0.0233326i
$191$	11.4934			0.831636			0.415818	−	0.909448i	$-0.363495\pi$
$191$	11.4934			0.831636			0.415818	+	0.909448i	$0.363495\pi$
$192$	2.28407	+	0.402744i	0.164839	+	0.0290655i
$193$	−0.408114	−	0.342448i	−0.0293767	−	0.0246500i	0.627981	−	0.778229i	$-0.283882\pi$
$193$	−0.408114	−	0.342448i	−0.0293767	−	0.0246500i	−0.657358	+	0.753579i	$0.728326\pi$
$194$	−2.33046	+	6.40289i	−0.167317	+	0.459701i
$195$	−1.94340	−	5.33946i	−0.139170	−	0.382367i
$196$	−6.93802	+	5.82169i	−0.495573	+	0.415835i
$197$	−16.8917	+	9.75245i	−1.20349	+	0.694833i	−0.961329	−	0.275404i	$-0.911189\pi$
$197$	−16.8917	+	9.75245i	−1.20349	+	0.694833i	−0.242158	+	0.970237i	$0.577855\pi$
$198$	1.73442	+	7.69793i	0.123260	+	0.547068i
$199$	−2.64474	−	14.9991i	−0.187481	−	1.06326i	−0.922727	−	0.385455i	$-0.874045\pi$
$199$	−2.64474	−	14.9991i	−0.187481	−	1.06326i	0.735246	−	0.677800i	$-0.237067\pi$
$200$	−0.255040	−	1.44640i	−0.0180340	−	0.102276i
$201$	5.49255	−	9.51338i	0.387415	−	0.671022i
$202$	8.81962	−	5.09201i	0.620546	−	0.358273i
$203$	12.7000	+	15.1353i	0.891366	+	1.06229i
$204$	−9.92321	+	3.61175i	−0.694764	+	0.252873i
$205$	−5.31964	−	1.93619i	−0.371540	−	0.135229i
$206$	−3.09152	+	3.68434i	−0.215397	+	0.256700i
$207$	−2.93818	+	16.6632i	−0.204218	+	1.15818i
$208$	−1.30373			−0.0903971
$209$	14.4030	−	1.24680i	0.996274	−	0.0862429i
$210$	−17.4645			−1.20517
$211$	−1.92499	+	10.9172i	−0.132522	+	0.751568i	0.844032	+	0.536293i	$0.180176\pi$
$211$	−1.92499	+	10.9172i	−0.132522	+	0.751568i	−0.976553	+	0.215275i	$0.930935\pi$
$212$	−8.53700	+	10.1740i	−0.586324	+	0.698753i
$213$	9.75490	+	3.55049i	0.668395	+	0.243276i
$214$	−15.6528	+	5.69717i	−1.07001	+	0.389451i
$215$	7.83605	+	9.33864i	0.534414	+	0.636890i
$216$	1.24694	−	0.719918i	0.0848432	−	0.0489842i
$217$	0.689588	−	1.19440i	0.0468123	−	0.0810812i
$218$	−1.71237	−	9.71135i	−0.115976	−	0.657735i
$219$	2.84966	+	16.1612i	0.192562	+	1.09207i
$220$	1.36990	+	6.08009i	0.0923587	+	0.409920i
$221$	5.14073	−	2.96800i	0.345803	−	0.199649i
$222$	−14.8006	+	12.4192i	−0.993354	+	0.833523i
$223$	−3.59609	−	9.88016i	−0.240812	−	0.661625i	−0.999943	−	0.0106871i	$-0.996598\pi$
$223$	−3.59609	−	9.88016i	−0.240812	−	0.661625i	0.759131	−	0.650938i	$-0.225624\pi$
$224$	−1.37051	+	3.76545i	−0.0915712	+	0.251590i
$225$	2.67684	+	2.24613i	0.178456	+	0.149742i
$226$	14.5663	+	2.56843i	0.968936	+	0.170850i
$227$	−13.3805			−0.888092			−0.444046	−	0.896004i	$-0.646457\pi$
$227$	−13.3805			−0.888092			−0.444046	+	0.896004i	$0.646457\pi$
$228$	3.82804	+	9.35686i	0.253518	+	0.619673i
$229$	−19.0102			−1.25623			−0.628116	−	0.778120i	$-0.716174\pi$
$229$	−19.0102			−1.25623			−0.628116	+	0.778120i	$0.716174\pi$
$230$	−2.32068	+	13.1612i	−0.153021	+	0.867825i
$231$	−30.7897	+	1.45052i	−2.02581	+	0.0954374i
$232$	4.63331	+	1.68639i	0.304191	+	0.110717i
$233$	−4.81129	−	13.2189i	−0.315198	−	0.865999i	−0.991586	−	0.129453i	$-0.958678\pi$
$233$	−4.81129	−	13.2189i	−0.315198	−	0.865999i	0.676388	−	0.736546i	$-0.263544\pi$
$234$	2.37613	−	1.99381i	0.155333	−	0.130340i
$235$	12.3607	+	21.4093i	0.806321	+	1.39659i
$236$	−1.32789	−	0.766656i	−0.0864381	−	0.0499050i
$237$	−6.96017	+	1.22727i	−0.452112	+	0.0797195i
$238$	−3.16818	−	17.9676i	−0.205362	−	1.16467i
$239$	−10.3368	−	5.96797i	−0.668634	−	0.386036i	0.126925	−	0.991912i	$-0.459489\pi$
$239$	−10.3368	−	5.96797i	−0.668634	−	0.386036i	−0.795559	+	0.605876i	$0.792823\pi$
$240$	−3.77447	+	2.17919i	−0.243641	+	0.140666i
$241$	16.1412	−	13.5441i	1.03975	−	0.872451i	0.0477681	−	0.998858i	$-0.484789\pi$
$241$	16.1412	−	13.5441i	1.03975	−	0.872451i	0.991978	+	0.126408i	$0.0403447\pi$
$242$	2.92010	+	10.6053i	0.187711	+	0.681736i
$243$	−6.83354	+	18.7750i	−0.438372	+	1.20442i
$244$	0.740508	−	0.882503i	0.0474062	−	0.0564965i
$245$	2.95541	−	16.7610i	0.188814	−	1.07082i
$246$		−	6.98697i		−	0.445473i
$247$	−3.03245	−	4.80610i	−0.192950	−	0.305805i
$248$		−	0.344182i		−	0.0218556i
$249$	−1.51330	+	8.58236i	−0.0959016	+	0.543885i
$250$	9.31190	+	7.81361i	0.588936	+	0.494176i
$251$	5.39939	+	1.96522i	0.340807	+	0.124043i	0.506753	−	0.862091i	$-0.330846\pi$
$251$	5.39939	+	1.96522i	0.340807	+	0.124043i	−0.165946	+	0.986135i	$0.553068\pi$
$252$	−3.26072	−	8.95875i	−0.205406	−	0.564348i
$253$	−2.99821	+	23.3958i	−0.188496	+	1.47088i
$254$	−5.87293	−	10.1722i	−0.368500	−	0.638261i
$255$	9.92208	−	17.1856i	0.621345	−	1.07620i
$256$	0.173648	+	0.984808i	0.0108530	+	0.0615505i
$257$	8.11689	−	1.43123i	0.506318	−	0.0892775i	0.0853462	−	0.996351i	$-0.472800\pi$
$257$	8.11689	−	1.43123i	0.506318	−	0.0892775i	0.420971	+	0.907074i	$0.361689\pi$
$258$	−7.52301	+	13.0302i	−0.468362	+	0.811227i
$259$	−16.6905	−	28.9088i	−1.03710	−	1.79630i
$260$	1.87675	−	1.57478i	0.116391	−	0.0976638i
$261$	−11.0235	+	4.01224i	−0.682340	+	0.248351i
$262$	−0.744063	+	2.04430i	−0.0459684	+	0.126297i
$263$	8.72408	−	10.3970i	0.537950	−	0.641103i	−0.426777	−	0.904357i	$-0.640351\pi$
$263$	8.72408	−	10.3970i	0.537950	−	0.641103i	0.964727	+	0.263253i	$0.0847955\pi$
$264$	−6.47334	+	4.15537i	−0.398406	+	0.255745i
$265$		−	24.9577i		−	1.53314i
$266$	−17.0689	+	3.70610i	−1.04656	+	0.227235i
$267$	−20.5048			−1.25487
$268$	4.66441	+	0.822462i	0.284924	+	0.0502399i
$269$	13.6639	−	16.2840i	0.833103	−	0.992853i	−0.166874	−	0.985978i	$-0.553367\pi$
$269$	13.6639	−	16.2840i	0.833103	−	0.992853i	0.999976	−	0.00687480i	$-0.00218834\pi$
$270$	−0.925404	+	2.54253i	−0.0563183	+	0.154733i
$271$	−7.65131	−	21.0218i	−0.464784	−	1.27698i	−0.921849	−	0.387549i	$-0.873322\pi$
$271$	−7.65131	−	21.0218i	−0.464784	−	1.27698i	0.457065	−	0.889433i	$-0.348901\pi$
$272$	−2.92668	−	3.48788i	−0.177456	−	0.211484i
$273$	6.05824	+	10.4932i	0.366661	+	0.635076i
$274$	1.81902	−	3.15064i	0.109891	−	0.190337i
$275$	3.87475	+	2.95206i	0.233656	+	0.178016i
$276$	−16.2438	+	2.86422i	−0.977763	+	0.172406i
$277$	−21.1946	−	12.2367i	−1.27346	−	0.735231i	−0.297820	−	0.954622i	$-0.596260\pi$
$277$	−21.1946	−	12.2367i	−1.27346	−	0.735231i	−0.975637	+	0.219391i	$0.929593\pi$
$278$	17.1211	−	9.88489i	1.02686	−	0.592856i
$279$	0.526363	+	0.627295i	0.0315126	+	0.0375552i
$280$	−2.57543	−	7.07593i	−0.153911	−	0.422868i
$281$	16.5096	+	6.00901i	0.984881	+	0.358467i	0.783736	−	0.621094i	$-0.213312\pi$
$281$	16.5096	+	6.00901i	0.984881	+	0.358467i	0.201145	+	0.979561i	$0.435534\pi$
$282$	−19.6124	+	23.3732i	−1.16790	+	1.39185i
$283$	17.4302	+	3.07341i	1.03612	+	0.182695i	0.665737	−	0.746186i	$-0.268117\pi$
$283$	17.4302	+	3.07341i	1.03612	+	0.182695i	0.370378	+	0.928881i	$0.379228\pi$
$284$			4.47588i			0.265595i
$285$	−16.8128	−	8.84555i	−0.995904	−	0.523965i
$286$	3.17789	−	2.93219i	0.187913	−	0.173384i
$287$	11.8881	+	2.09620i	0.701733	+	0.123735i
$288$	−1.82257	−	1.52932i	−0.107396	−	0.0901159i
$289$	3.50578	+	1.27600i	0.206222	+	0.0750587i
$290$	−8.70678	+	3.16901i	−0.511279	+	0.186090i
$291$	12.1061	−	10.1582i	0.709670	−	0.595484i
$292$	−6.12766	+	3.53780i	−0.358594	+	0.207034i
$293$	4.06297	−	7.03727i	0.237361	−	0.411122i	−0.722595	−	0.691272i	$-0.757051\pi$
$293$	4.06297	−	7.03727i	0.237361	−	0.411122i	0.959956	+	0.280150i	$0.0903842\pi$
$294$	20.6867	−	3.64763i	1.20647	−	0.212734i
$295$	2.83758	−	0.500342i	0.165210	−	0.0291310i
$296$	−7.21437	−	4.16522i	−0.419327	−	0.242098i
$297$	−1.42030	+	4.55929i	−0.0824143	+	0.264557i
$298$	12.1827	+	14.5187i	0.705723	+	0.841048i
$299$	8.71265	−	3.17114i	0.503865	−	0.183392i
$300$	−1.16506	+	3.20097i	−0.0672647	+	0.184808i
$301$	−19.9135	−	16.7094i	−1.14780	−	0.963116i
$302$	−2.22913	+	12.6420i	−0.128272	+	0.727468i
$303$	−23.6199			−1.35693
$304$	−3.22652	+	2.93079i	−0.185054	+	0.168093i
$305$			2.16486i			0.123959i
$306$	10.6682	+	1.88108i	0.609858	+	0.107534i
$307$	12.8218	+	10.7587i	0.731777	+	0.614034i	0.930616	−	0.365998i	$-0.119272\pi$
$307$	12.8218	+	10.7587i	0.731777	+	0.614034i	−0.198838	+	0.980032i	$0.563717\pi$
$308$	−5.12814	−	12.2609i	−0.292203	−	0.698627i
$309$	10.4821	−	3.81518i	0.596308	−	0.217038i
$310$	0.415740	+	0.495460i	0.0236124	+	0.0281402i
$311$	−11.2424	−	19.4724i	−0.637498	−	1.10418i	−0.985980	−	0.166864i	$-0.946636\pi$
$311$	−11.2424	−	19.4724i	−0.637498	−	1.10418i	0.348481	−	0.937316i	$-0.386697\pi$
$312$	2.61864	+	1.51187i	0.148251	+	0.0855929i
$313$	4.26459	+	24.1857i	0.241049	+	1.36705i	0.829493	+	0.558517i	$0.188629\pi$
$313$	4.26459	+	24.1857i	0.241049	+	1.36705i	−0.588445	+	0.808538i	$0.700259\pi$
$314$	2.52461	+	14.3178i	0.142472	+	0.807999i
$315$	15.5152	+	8.95773i	0.874185	+	0.504711i
$316$	−1.52363	−	2.63901i	−0.0857110	−	0.148456i
$317$	−8.79818	−	10.4853i	−0.494155	−	0.588911i	0.460114	−	0.887860i	$-0.347809\pi$
$317$	−8.79818	−	10.4853i	−0.494155	−	0.588911i	−0.954269	+	0.298949i	$0.903364\pi$
$318$	28.9456	−	10.5353i	1.62319	−	0.590792i
$319$	−15.0867	+	6.31006i	−0.844693	+	0.353295i
$320$	−1.43953	−	1.20791i	−0.0804721	−	0.0675241i
$321$	38.0468	+	6.70867i	2.12356	+	0.374441i
$322$		−	28.4977i		−	1.58811i
$323$	6.05042	−	18.9018i	0.336654	−	1.05172i
$324$	−10.4770			−0.582056
$325$	0.332502	−	1.88571i	0.0184439	−	0.104600i
$326$	5.23526	+	4.39290i	0.289954	+	0.243300i
$327$	−7.82237	+	21.4918i	−0.432578	+	1.18850i
$328$	2.83084	−	1.03034i	0.156307	−	0.0568912i
$329$	−33.8848	−	40.3823i	−1.86813	−	2.22635i
$330$	4.29925	−	13.8010i	0.236666	−	0.759718i
$331$	11.7169	+	6.76475i	0.644019	+	0.371824i	0.786161	−	0.618022i	$-0.212066\pi$
$331$	11.7169	+	6.76475i	0.644019	+	0.371824i	−0.142142	+	0.989846i	$0.545399\pi$
$332$	−3.70040	+	0.652480i	−0.203086	+	0.0358095i
$333$	19.5186	−	3.44166i	1.06961	−	0.188602i
$334$	5.66085	−	9.80488i	0.309748	−	0.536499i
$335$	−7.70802	+	4.45023i	−0.421134	+	0.243142i
$336$	7.11941	−	5.97390i	0.388396	−	0.325903i
$337$	−3.35633	+	1.22160i	−0.182831	+	0.0665450i	−0.431813	−	0.901963i	$-0.642126\pi$
$337$	−3.35633	+	1.22160i	−0.182831	+	0.0665450i	0.248982	+	0.968508i	$0.419904\pi$
$338$	10.6188	+	3.86493i	0.577587	+	0.210224i
$339$	−26.2791	−	22.0508i	−1.42729	−	1.19763i
$340$	8.42608	+	1.48575i	0.456968	+	0.0805758i
$341$	0.774094	+	0.838958i	0.0419195	+	0.0454321i
$342$	1.39845	−	10.2760i	0.0756195	−	0.555660i
$343$			8.24240i			0.445048i
$344$	−6.38873	−	1.12651i	−0.344457	−	0.0607371i
$345$	19.9237	−	23.7442i	1.07266	−	1.27834i
$346$	8.37202	+	3.04717i	0.450083	+	0.163817i
$347$	7.06225	+	19.4034i	0.379121	+	1.04163i	0.971721	+	0.236131i	$0.0758793\pi$
$347$	7.06225	+	19.4034i	0.379121	+	1.04163i	−0.592600	+	0.805497i	$0.701898\pi$
$348$	−7.35074	−	8.76028i	−0.394041	−	0.469600i
$349$	−15.8498	+	9.15088i	−0.848420	+	0.489836i	−0.860117	−	0.510096i	$-0.829610\pi$
$349$	−15.8498	+	9.15088i	−0.848420	+	0.489836i	0.0116973	+	0.999932i	$0.496277\pi$
$350$	−5.09682	−	2.94265i	−0.272437	−	0.157291i
$351$	1.84863	−	0.325964i	0.0986728	−	0.0173987i
$352$	−2.63819	−	2.00996i	−0.140616	−	0.107131i
$353$	−5.71319	+	9.89554i	−0.304083	+	0.526686i	−0.977057	−	0.212980i	$-0.931683\pi$
$353$	−5.71319	+	9.89554i	−0.304083	+	0.526686i	0.672974	+	0.739666i	$0.265017\pi$
$354$	1.77811	+	3.07978i	0.0945056	+	0.163688i
$355$	−5.40645	−	6.44316i	−0.286945	−	0.341967i
$356$	−3.02377	−	8.30774i	−0.160260	−	0.440309i
$357$	−14.4727	+	39.7634i	−0.765976	+	2.10450i
$358$	−15.7187	+	18.7328i	−0.830758	+	0.990059i
$359$	−27.7226	−	4.88825i	−1.46315	−	0.257992i	−0.615324	−	0.788274i	$-0.710975\pi$
$359$	−27.7226	−	4.88825i	−1.46315	−	0.257992i	−0.847821	+	0.530282i	$0.822086\pi$
$360$	4.47092			0.235638
$361$	−18.3090	−	5.07737i	−0.963633	−	0.267230i
$362$			10.0368i			0.527525i
$363$	6.43326	−	24.6880i	0.337659	−	1.29578i
$364$	−3.35804	+	4.00195i	−0.176009	+	0.209759i
$365$	4.54759	−	12.4944i	0.238032	−	0.653988i
$366$	−2.51077	+	0.913846i	−0.131240	+	0.0477675i
$367$	16.4469	−	13.8006i	0.858521	−	0.720385i	−0.103128	−	0.994668i	$-0.532885\pi$
$367$	16.4469	−	13.8006i	0.858521	−	0.720385i	0.961649	+	0.274283i	$0.0884407\pi$
$368$	−3.55589	−	6.15898i	−0.185363	−	0.321059i
$369$	−3.58369	+	6.20713i	−0.186559	+	0.323130i
$370$	15.4165	−	2.71834i	0.801466	−	0.141320i
$371$	9.24144	+	52.4108i	0.479791	+	2.72103i
$372$	−0.399132	+	0.691317i	−0.0206940	+	0.0358431i
$373$	4.26059	+	7.37957i	0.220605	+	0.382099i	0.954992	−	0.296632i	$-0.0958634\pi$
$373$	4.26059	+	7.37957i	0.220605	+	0.382099i	−0.734387	+	0.678731i	$0.762530\pi$
$374$	14.9784	+	1.91951i	0.774517	+	0.0992557i
$375$	−9.64261	−	26.4929i	−0.497942	−	1.36809i
$376$	−12.3621	−	4.49943i	−0.637525	−	0.232040i
$377$	4.92431	+	4.13199i	0.253615	+	0.212808i
$378$	1.00188	−	5.68193i	0.0515310	−	0.292247i
$379$		−	24.6011i		−	1.26368i	−0.775100	−	0.631838i	$-0.782301\pi$
$379$		−	24.6011i		−	1.26368i	0.775100	−	0.631838i	$-0.217699\pi$
$380$	1.10454	−	8.11630i	0.0566619	−	0.416358i
$381$			27.2423i			1.39566i
$382$	1.99581	−	11.3188i	0.102115	−	0.579122i
$383$	−7.74043	+	9.22468i	−0.395517	+	0.471359i	−0.926648	−	0.375931i	$-0.877323\pi$
$383$	−7.74043	+	9.22468i	−0.395517	+	0.471359i	0.531130	+	0.847290i	$0.321767\pi$
$384$	0.793251	−	2.17944i	0.0404804	−	0.111219i
$385$	22.1921	+	11.4555i	1.13101	+	0.583828i
$386$	−0.408114	+	0.342448i	−0.0207724	+	0.0174302i
$387$	13.3667	−	7.71726i	0.679467	−	0.392291i
$388$	5.90094	+	3.40691i	0.299575	+	0.172960i
$389$	1.76003	+	9.98161i	0.0892370	+	0.506088i	0.996362	+	0.0852260i	$0.0271612\pi$
$389$	1.76003	+	9.98161i	0.0892370	+	0.506088i	−0.907125	+	0.420862i	$0.861728\pi$
$390$	−5.59581	+	0.986692i	−0.283355	+	0.0499631i
$391$	28.0425	+	16.1903i	1.41817	+	0.818780i
$392$	4.52847	+	7.84354i	0.228722	+	0.396159i
$393$	3.86519	−	3.24328i	0.194973	−	0.163602i
$394$	6.67107	+	18.3286i	0.336084	+	0.923382i
$395$	5.38099	+	1.95852i	0.270747	+	0.0985438i
$396$	7.88216	−	0.371334i	0.396093	−	0.0186602i
$397$	1.33891	−	7.59336i	0.0671981	−	0.381100i	−0.932598	−	0.360916i	$-0.882464\pi$
$397$	1.33891	−	7.59336i	0.0671981	−	0.381100i	0.999796	−	0.0201832i	$-0.00642494\pi$
$398$	−15.2304			−0.763433
$399$	38.5820	+	12.3500i	1.93152	+	0.618274i
$400$	−1.46871			−0.0734357
$401$	−12.1780	−	2.14731i	−0.608139	−	0.107231i	−0.138906	−	0.990306i	$-0.544359\pi$
$401$	−12.1780	−	2.14731i	−0.608139	−	0.107231i	−0.469233	+	0.883074i	$0.655470\pi$
$402$	−8.41508	−	7.06109i	−0.419706	−	0.352175i
$403$	0.153471	−	0.421658i	0.00764493	−	0.0210043i
$404$	−3.48314	−	9.56985i	−0.173293	−	0.476118i
$405$	15.0820	−	12.6553i	0.749429	−	0.628845i
$406$	17.1107	−	9.87885i	0.849189	−	0.490279i
$407$	26.9533	−	6.07282i	1.33602	−	0.301019i
$408$	1.83374	+	10.3996i	0.0907834	+	0.514858i
$409$	4.13403	+	23.4452i	0.204415	+	1.15929i	0.898358	+	0.439263i	$0.144761\pi$
$409$	4.13403	+	23.4452i	0.204415	+	1.15929i	−0.693944	+	0.720029i	$0.744128\pi$
$410$	−2.83052	+	4.90261i	−0.139790	+	0.242123i
$411$	−7.30730	+	4.21887i	−0.360443	+	0.208102i
$412$	3.09152	+	3.68434i	0.152308	+	0.181514i
$413$	−5.77361	+	2.10142i	−0.284101	+	0.103404i
$414$	15.8999	+	5.78709i	0.781437	+	0.284420i
$415$	4.53869	−	5.40900i	0.222796	−	0.265517i
$416$	−0.226390	+	1.28392i	−0.0110997	+	0.0629493i
$417$	−45.8522			−2.24539
$418$	1.27319	−	14.4007i	0.0622738	−	0.704359i
$419$	−8.72929			−0.426454			−0.213227	−	0.977003i	$-0.568397\pi$
$419$	−8.72929			−0.426454			−0.213227	+	0.977003i	$0.568397\pi$
$420$	−3.03268	+	17.1992i	−0.147980	+	0.839234i
$421$	−1.48820	+	1.77357i	−0.0725306	+	0.0864386i	−0.801090	−	0.598544i	$-0.795746\pi$
$421$	−1.48820	+	1.77357i	−0.0725306	+	0.0864386i	0.728559	+	0.684983i	$0.240190\pi$
$422$	10.4170	+	3.79149i	0.507093	+	0.184567i
$423$	29.4118	−	10.7050i	1.43005	−	0.520496i
$424$	8.53700	+	10.1740i	0.414593	+	0.494093i
$425$	5.79130	−	3.34361i	0.280919	−	0.162189i
$426$	5.19047	−	8.99017i	0.251479	−	0.435575i
$427$	−0.801612	−	4.54617i	−0.0387927	−	0.220004i
$428$	2.89253	+	16.4043i	0.139816	+	0.792934i
$429$	−9.78338	+	2.20429i	−0.472346	+	0.106424i
$430$	10.5575	−	6.09536i	0.509127	−	0.293944i
$431$	−2.09832	+	1.76070i	−0.101072	+	0.0848098i	−0.691924	−	0.721971i	$-0.743236\pi$
$431$	−2.09832	+	1.76070i	−0.101072	+	0.0848098i	0.590851	+	0.806781i	$0.298792\pi$
$432$	−0.492453	−	1.35300i	−0.0236932	−	0.0650964i
$433$	10.9991	−	30.2198i	0.528583	−	1.45227i	−0.332156	−	0.943225i	$-0.607776\pi$
$433$	10.9991	−	30.2198i	0.528583	−	1.45227i	0.860739	−	0.509046i	$-0.170002\pi$
$434$	−1.05651	−	0.886517i	−0.0507141	−	0.0425542i
$435$	21.1632	+	3.73165i	1.01470	+	0.178919i
$436$	−9.86116			−0.472264
$437$	14.4337	−	27.4342i	0.690458	−	1.31236i
$438$	16.4105			0.784125
$439$	−1.89403	+	10.7416i	−0.0903970	+	0.512667i	0.905664	+	0.423996i	$0.139373\pi$
$439$	−1.89403	+	10.7416i	−0.0903970	+	0.512667i	−0.996061	+	0.0886707i	$0.971738\pi$
$440$	6.22560	−	0.293293i	0.296794	−	0.0139822i
$441$	−20.2487	−	7.36993i	−0.964225	−	0.350949i
$442$	−2.03023	−	5.57802i	−0.0965683	−	0.265319i
$443$	−13.5310	+	11.3539i	−0.642878	+	0.539438i	−0.904900	−	0.425623i	$-0.860055\pi$
$443$	−13.5310	+	11.3539i	−0.642878	+	0.539438i	0.262023	+	0.965062i	$0.415610\pi$
$444$	9.66043	+	16.7324i	0.458464	+	0.794083i
$445$	14.3878	+	8.30680i	0.682047	+	0.393780i
$446$	−10.3545	+	1.82578i	−0.490301	+	0.0864532i
$447$	−7.63315	−	43.2898i	−0.361036	−	2.04754i
$448$	3.47026	+	2.00356i	0.163954	+	0.0946591i
$449$	0.513887	−	0.296693i	0.0242518	−	0.0140018i	−0.487825	−	0.872941i	$-0.662210\pi$
$449$	0.513887	−	0.296693i	0.0242518	−	0.0140018i	0.512077	+	0.858940i	$0.328876\pi$
$450$	2.67684	−	2.24613i	0.126187	−	0.105884i
$451$	−4.58298	+	8.87831i	−0.215804	+	0.418063i
$452$	5.05882	−	13.8990i	0.237947	−	0.653754i
$453$	19.1378	−	22.8075i	0.899172	−	1.07159i
$454$	−2.32349	+	13.1772i	−0.109047	+	0.618436i
$455$		−	9.81712i		−	0.460234i
$456$	9.87944	−	2.14508i	0.462647	−	0.100453i
$457$			17.2982i			0.809173i	0.914500	+	0.404587i	$0.132585\pi$
$457$			17.2982i			0.809173i	−0.914500	+	0.404587i	$0.867415\pi$
$458$	−3.30109	+	18.7214i	−0.154250	+	0.874795i
$459$	5.02198	+	4.21394i	0.234406	+	0.196690i
$460$	12.5583	+	4.57084i	0.585533	+	0.213117i
$461$	1.56536	+	4.30078i	0.0729059	+	0.200307i	0.970793	−	0.239918i	$-0.0771207\pi$
$461$	1.56536	+	4.30078i	0.0729059	+	0.200307i	−0.897887	+	0.440226i	$0.854898\pi$
$462$	−3.91808	+	30.5738i	−0.182286	+	1.42242i
$463$	6.71923	+	11.6380i	0.312269	+	0.540866i	0.978853	−	0.204564i	$-0.0655777\pi$
$463$	6.71923	+	11.6380i	0.312269	+	0.540866i	−0.666584	+	0.745430i	$0.732244\pi$
$464$	2.46533	−	4.27008i	0.114450	−	0.198233i
$465$	−0.260485	−	1.47729i	−0.0120797	−	0.0685075i
$466$	−13.8535	+	2.44275i	−0.641753	+	0.113158i
$467$	−12.9732	+	22.4702i	−0.600326	+	1.03979i	0.392446	+	0.919775i	$0.371629\pi$
$467$	−12.9732	+	22.4702i	−0.600326	+	1.03979i	−0.992772	+	0.120020i	$0.961704\pi$
$468$	−1.55091	−	2.68625i	−0.0716908	−	0.124172i
$469$	14.5389	−	12.1996i	0.671343	−	0.563324i
$470$	23.2305	−	8.45520i	1.07154	−	0.390009i
$471$	11.5328	−	31.6861i	0.531403	−	1.46002i
$472$	−0.985594	+	1.17458i	−0.0453656	+	0.0540647i
$473$	18.1064	−	11.6229i	0.832534	−	0.534421i
$474$			7.06755i			0.324623i
$475$	−3.41621	−	5.41432i	−0.156747	−	0.248426i
$476$	−18.2448			−0.836249
$477$	−31.1186	−	5.48704i	−1.42482	−	0.251234i
$478$	−7.67227	+	9.14346i	−0.350922	+	0.418212i
$479$	8.48458	−	23.3112i	0.387670	−	1.06512i	−0.580377	−	0.814348i	$-0.697095\pi$
$479$	8.48458	−	23.3112i	0.387670	−	1.06512i	0.968047	−	0.250768i	$-0.0806831\pi$
$480$	1.49065	+	4.09554i	0.0680387	+	0.186935i
$481$	−6.98107	−	8.31971i	−0.318309	−	0.379346i
$482$	−10.5354	−	18.2479i	−0.479875	−	0.831169i
$483$	−33.0475	+	57.2399i	−1.50371	+	2.60450i
$484$	10.9513	−	1.03414i	0.497785	−	0.0470064i
$485$	−12.6098	+	2.22345i	−0.572582	+	0.100962i
$486$	17.3031	+	9.98996i	0.784886	+	0.453154i
$487$	18.0816	−	10.4394i	0.819357	−	0.473056i	−0.0308374	−	0.999524i	$-0.509817\pi$
$487$	18.0816	−	10.4394i	0.819357	−	0.473056i	0.850195	+	0.526468i	$0.176484\pi$
$488$	−0.740508	−	0.882503i	−0.0335212	−	0.0399491i
$489$	−5.42119	−	14.8946i	−0.245155	−	0.673557i
$490$	−15.9931	−	5.82103i	−0.722497	−	0.262967i
$491$	5.32757	−	6.34915i	0.240430	−	0.286533i	−0.632313	−	0.774713i	$-0.717894\pi$
$491$	5.32757	−	6.34915i	0.240430	−	0.286533i	0.872743	+	0.488180i	$0.162339\pi$
$492$	−6.88082	−	1.21327i	−0.310211	−	0.0546986i
$493$			22.4498i			1.01109i
$494$	−5.25966	+	2.15181i	−0.236643	+	0.0968146i
$495$	−10.8981	+	10.0555i	−0.489831	+	0.451960i
$496$	−0.338953	−	0.0597666i	−0.0152194	−	0.00268360i
$497$	13.7393	+	11.5286i	0.616291	+	0.517129i
$498$	8.18920	+	2.98062i	0.366967	+	0.133565i
$499$	−10.4424	+	3.80073i	−0.467466	+	0.170144i	−0.565004	−	0.825088i	$-0.691125\pi$
$499$	−10.4424	+	3.80073i	−0.467466	+	0.170144i	0.0975380	+	0.995232i	$0.468903\pi$
$500$	9.31190	−	7.81361i	0.416441	−	0.349435i
$501$	−22.7405	+	13.1293i	−1.01597	+	0.586572i
$502$	2.87296	−	4.97611i	0.128226	−	0.222095i
$503$	20.5770	−	3.62828i	0.917483	−	0.161777i	0.305083	−	0.952326i	$-0.401316\pi$
$503$	20.5770	−	3.62828i	0.917483	−	0.161777i	0.612399	+	0.790549i	$0.290205\pi$
$504$	−9.38887	+	1.65551i	−0.418213	+	0.0737423i
$505$	16.5736	+	9.56876i	0.737515	+	0.425804i
$506$	22.5197	+	7.01529i	1.00112	+	0.311868i
$507$	−16.8467	−	20.0772i	−0.748190	−	0.891659i
$508$	−11.0375	+	4.01732i	−0.489709	+	0.178240i
$509$	−8.47234	+	23.2776i	−0.375530	+	1.03176i	0.597659	+	0.801751i	$0.296098\pi$
$509$	−8.47234	+	23.2776i	−0.375530	+	1.03176i	−0.973188	+	0.230009i	$0.926124\pi$
$510$	−15.2015	−	12.7556i	−0.673134	−	0.564827i
$511$	−4.92340	+	27.9220i	−0.217799	+	1.23520i
$512$	1.00000			0.0441942
$513$	3.84232	−	4.96247i	0.169642	−	0.219098i
$514$		−	8.24210i		−	0.363544i
$515$	−8.90068	−	1.56943i	−0.392211	−	0.0691573i
$516$	11.5259	+	9.67140i	0.507401	+	0.425760i
$517$	40.2527	−	16.8358i	1.77031	−	0.740438i
$518$	−31.3679	+	11.4170i	−1.37823	+	0.501633i
$519$	−13.2822	−	15.8291i	−0.583025	−	0.694822i
$520$	−1.22496	−	2.12170i	−0.0537182	−	0.0930426i
$521$	−15.1766	−	8.76224i	−0.664901	−	0.383881i	0.129241	−	0.991613i	$-0.458746\pi$
$521$	−15.1766	−	8.76224i	−0.664901	−	0.383881i	−0.794142	+	0.607733i	$0.792079\pi$
$522$	2.03707	+	11.5528i	0.0891601	+	0.505652i
$523$	−3.02060	−	17.1307i	−0.132082	−	0.749073i	−0.976848	−	0.213937i	$-0.931371\pi$
$523$	−3.02060	−	17.1307i	−0.132082	−	0.749073i	0.844766	−	0.535136i	$-0.179740\pi$
$524$	1.88403	+	1.08775i	0.0823044	+	0.0475185i
$525$	6.82492	+	11.8211i	0.297864	+	0.515915i
$526$	−8.72408	−	10.3970i	−0.380388	−	0.453329i
$527$	1.47259	−	0.535979i	0.0641470	−	0.0233476i
$528$	2.96816	+	7.09656i	0.129172	+	0.308838i
$529$	21.1255	+	17.7264i	0.918498	+	0.770712i
$530$	−24.5785	−	4.33386i	−1.06762	−	0.188251i
$531$		−	3.64805i		−	0.158312i
$532$	0.685811	+	17.4531i	0.0297337	+	0.756689i
$533$	3.92750			0.170119
$534$	−3.56062	+	20.1933i	−0.154083	+	0.873850i
$535$	−23.9788	−	20.1206i	−1.03670	−	0.869890i
$536$	1.61993	−	4.45073i	0.0699705	−	0.192242i
$537$	53.2958	−	19.3981i	2.29988	−	0.837090i
$538$	−13.6639	−	16.2840i	−0.589093	−	0.702053i
$539$	−28.6791	−	8.93407i	−1.23530	−	0.384817i
$540$	2.34320	+	1.35285i	0.100835	+	0.0582174i
$541$	−30.5453	+	5.38596i	−1.31324	+	0.231560i	−0.786039	−	0.618177i	$-0.787871\pi$
$541$	−30.5453	+	5.38596i	−1.31324	+	0.231560i	−0.527206	+	0.849738i	$0.676760\pi$
$542$	−22.0311	+	3.88467i	−0.946315	+	0.166861i
$543$	11.6393	−	20.1598i	0.499489	−	0.865141i
$544$	−3.94311	+	2.27655i	−0.169059	+	0.0976064i
$545$	14.1954	−	11.9114i	0.608065	−	0.510227i
$546$	11.3858	−	4.14408i	0.487266	−	0.177350i
$547$	−29.0883	−	10.5873i	−1.24372	−	0.452678i	−0.365448	−	0.930832i	$-0.619084\pi$
$547$	−29.0883	−	10.5873i	−1.24372	−	0.452678i	−0.878276	+	0.478153i	$0.841306\pi$
$548$	−2.78690	−	2.33849i	−0.119051	−	0.0998953i
$549$	2.69926	+	0.475952i	0.115201	+	0.0203131i
$550$	3.58006	−	3.30326i	0.152654	−	0.140852i
$551$	21.4757	−	0.843875i	0.914895	−	0.0359503i
$552$			16.4944i			0.702048i
$553$	−12.0252	−	2.12037i	−0.511364	−	0.0901673i
$554$	−15.7312	+	18.7477i	−0.668354	+	0.796513i
$555$	−34.1176	−	12.4178i	−1.44821	−	0.527106i
$556$	−6.76166	−	18.5775i	−0.286758	−	0.787862i
$557$	15.5490	+	18.5306i	0.658832	+	0.785166i	0.987218	−	0.159378i	$-0.0509489\pi$
$557$	15.5490	+	18.5306i	0.658832	+	0.785166i	−0.328385	+	0.944544i	$0.606504\pi$
$558$	0.709168	−	0.409438i	0.0300215	−	0.0173329i
$559$	−7.32454	−	4.22882i	−0.309795	−	0.178860i
$560$	−7.41565	+	1.30758i	−0.313368	+	0.0552553i
$561$	−27.8595	−	21.2253i	−1.17623	−	0.896134i
$562$	8.78458	−	15.2153i	0.370555	−	0.641821i
$563$	−20.8484	−	36.1104i	−0.878654	−	1.52187i	−0.852819	−	0.522206i	$-0.825109\pi$
$563$	−20.8484	−	36.1104i	−0.878654	−	1.52187i	−0.0258344	−	0.999666i	$-0.508224\pi$
$564$	19.6124	+	23.3732i	0.825833	+	0.984190i
$565$	9.50640	+	26.1186i	0.399937	+	1.09882i
$566$	6.05343	−	16.6317i	0.254445	−	0.699081i
$567$	−26.9859	+	32.1605i	−1.13330	+	1.35061i
$568$	4.40788	+	0.777228i	0.184951	+	0.0326118i
$569$	−30.9030			−1.29552			−0.647760	−	0.761845i	$-0.724294\pi$
$569$	−30.9030			−1.29552			−0.647760	+	0.761845i	$0.724294\pi$
$570$	−11.6307	+	15.0214i	−0.487155	+	0.629176i
$571$			1.29190i			0.0540644i	0.999635	+	0.0270322i	$0.00860567\pi$
$571$			1.29190i			0.0540644i	−0.999635	+	0.0270322i	$0.991394\pi$
$572$	−2.33581	−	3.63878i	−0.0976651	−	0.152145i
$573$	−17.1347	+	20.4203i	−0.715812	+	0.853071i
$574$	4.12870	−	11.3435i	0.172329	−	0.473469i
$575$	9.81525	−	3.57246i	0.409324	−	0.148982i
$576$	−1.82257	+	1.52932i	−0.0759404	+	0.0637216i
$577$	−2.10507	−	3.64610i	−0.0876354	−	0.151789i	0.818876	−	0.573971i	$-0.194598\pi$
$577$	−2.10507	−	3.64610i	−0.0876354	−	0.151789i	−0.906511	+	0.422182i	$0.861264\pi$
$578$	1.86539	−	3.23094i	0.0775898	−	0.134389i
$579$	1.21685	−	0.214564i	0.0505706	−	0.00891696i
$580$	1.60895	+	9.12479i	0.0668079	+	0.378886i
$581$	−7.52832	+	13.0394i	−0.312327	+	0.540967i
$582$	−7.90168	−	13.6861i	−0.327535	−	0.567307i
$583$	−43.6915	−	5.59914i	−1.80952	−	0.231893i
$584$	2.42000	+	6.64890i	0.100140	+	0.275133i
$585$	5.47733	+	1.99358i	0.226460	+	0.0824246i
$586$	−6.22483	−	5.22325i	−0.257145	−	0.215771i
$587$	−6.24806	+	35.4345i	−0.257885	+	1.46254i	0.530672	+	0.847577i	$0.321940\pi$
$587$	−6.24806	+	35.4345i	−0.257885	+	1.46254i	−0.788557	+	0.614961i	$0.789172\pi$
$588$		−	21.0059i		−	0.866267i
$589$	−0.568075	−	1.38854i	−0.0234071	−	0.0572139i
$590$		−	2.88136i		−	0.118624i
$591$	7.85548	−	44.5506i	0.323131	−	1.83257i
$592$	−5.35470	+	6.38149i	−0.220077	+	0.262277i
$593$	3.42778	−	9.41774i	0.140762	−	0.386740i	−0.849201	−	0.528071i	$-0.822916\pi$
$593$	3.42778	−	9.41774i	0.140762	−	0.386740i	0.989963	+	0.141330i	$0.0451379\pi$
$594$	4.24340	+	2.19044i	0.174109	+	0.0898747i
$595$	26.2639	−	22.0380i	1.07672	−	0.903472i
$596$	16.4137	−	9.47644i	0.672330	−	0.388170i
$597$	30.5916	+	17.6621i	1.25203	+	0.722860i
$598$	−1.61003	−	9.13095i	−0.0658391	−	0.373392i
$599$	3.63151	−	0.640333i	0.148379	−	0.0261633i	−0.0989650	−	0.995091i	$-0.531553\pi$
$599$	3.63151	−	0.640333i	0.148379	−	0.0261633i	0.247344	+	0.968928i	$0.420442\pi$
$600$	2.95003	+	1.70320i	0.120435	+	0.0695329i
$601$	16.2683	+	28.1775i	0.663598	+	1.14938i	0.979663	+	0.200648i	$0.0643047\pi$
$601$	16.2683	+	28.1775i	0.663598	+	1.14938i	−0.316066	+	0.948737i	$0.602362\pi$
$602$	−19.9135	+	16.7094i	−0.811615	+	0.681026i
$603$	3.85414	+	10.5892i	0.156953	+	0.431224i
$604$	12.0629	+	4.39054i	0.490832	+	0.178648i
$605$	−14.5155	+	14.7168i	−0.590141	+	0.598324i
$606$	−4.10155	+	23.2611i	−0.166614	+	0.944916i
$607$	30.0667			1.22037			0.610186	−	0.792258i	$-0.291095\pi$
$607$	30.0667			1.22037			0.610186	+	0.792258i	$0.291095\pi$
$608$	2.32599	+	3.68643i	0.0943313	+	0.149505i
$609$	−45.8242			−1.85689
$610$	2.13197	+	0.375923i	0.0863208	+	0.0152207i
$611$	−13.1385	−	11.0245i	−0.531527	−	0.446004i
$612$	3.70501	−	10.1794i	0.149766	−	0.411479i
$613$	−5.25856	−	14.4478i	−0.212391	−	0.583540i	0.787053	−	0.616886i	$-0.211606\pi$
$613$	−5.25856	−	14.4478i	−0.212391	−	0.583540i	−0.999444	+	0.0333456i	$0.989384\pi$
$614$	12.8218	−	10.7587i	0.517445	−	0.434188i
$615$	11.3707	−	6.56486i	0.458509	−	0.264721i
$616$	−12.9651	+	2.92115i	−0.522378	+	0.117697i
$617$	7.51812	+	42.6374i	0.302668	+	1.71652i	0.634283	+	0.773101i	$0.281295\pi$
$617$	7.51812	+	42.6374i	0.302668	+	1.71652i	−0.331615	+	0.943415i	$0.607593\pi$
$618$	−1.93702	−	10.9854i	−0.0779184	−	0.441897i
$619$	−2.97764	+	5.15742i	−0.119681	+	0.207294i	−0.919641	−	0.392759i	$-0.871521\pi$
$619$	−2.97764	+	5.15742i	−0.119681	+	0.207294i	0.799960	+	0.600053i	$0.204854\pi$
$620$	0.560125	−	0.323388i	0.0224952	−	0.0129876i
$621$	6.58201	+	7.84414i	0.264127	+	0.314774i
$622$	−21.1288	+	7.69026i	−0.847188	+	0.308351i
$623$	−33.2901	−	12.1166i	−1.33374	−	0.485441i
$624$	1.94363	−	2.31632i	0.0778073	−	0.0927271i
$625$	−2.69143	+	15.2638i	−0.107657	+	0.610553i
$626$	24.5588			0.981566
$627$	−19.2571	+	27.4484i	−0.769055	+	1.09618i
$628$	14.5387			0.580156
$629$	6.58637	−	37.3531i	0.262616	−	1.48937i
$630$	11.5158	−	13.7240i	0.458802	−	0.546779i
$631$	19.5030	+	7.09851i	0.776402	+	0.282587i	0.699672	−	0.714465i	$-0.253330\pi$
$631$	19.5030	+	7.09851i	0.776402	+	0.282587i	0.0767305	+	0.997052i	$0.475552\pi$
$632$	−2.86349	+	1.04223i	−0.113904	+	0.0414575i
$633$	−16.5266	−	19.6957i	−0.656875	−	0.782833i
$634$	−11.8538	+	6.84377i	−0.470773	+	0.271801i
$635$	11.0362	−	19.1153i	0.437960	−	0.758568i
$636$	−5.34893	−	30.3353i	−0.212099	−	1.20287i
$637$	2.05040	+	11.6284i	0.0812397	+	0.460733i
$638$	3.59441	+	15.9532i	0.142304	+	0.631595i
$639$	−9.22230	+	5.32450i	−0.364829	+	0.210634i
$640$	−1.43953	+	1.20791i	−0.0569024	+	0.0477468i
$641$	9.73959	+	26.7593i	0.384691	+	1.05693i	0.969357	+	0.245655i	$0.0790031\pi$
$641$	9.73959	+	26.7593i	0.384691	+	1.05693i	−0.584667	+	0.811274i	$0.698775\pi$
$642$	13.2135	−	36.3038i	0.521495	−	1.43280i
$643$	−14.7895	−	12.4099i	−0.583241	−	0.489398i	0.302768	−	0.953064i	$-0.402089\pi$
$643$	−14.7895	−	12.4099i	−0.583241	−	0.489398i	−0.886010	+	0.463667i	$0.846534\pi$
$644$	−28.0647	−	4.94857i	−1.10591	−	0.195001i
$645$	−28.2741			−1.11329
$646$	−17.5640	−	9.24075i	−0.691045	−	0.363573i
$647$	18.1018			0.711654			0.355827	−	0.934552i	$-0.384199\pi$
$647$	18.1018			0.711654			0.355827	+	0.934552i	$0.384199\pi$
$648$	−1.81931	+	10.3178i	−0.0714694	+	0.405323i
$649$	−0.239312	−	5.07979i	−0.00939383	−	0.199399i
$650$	−1.79932	−	0.654901i	−0.0705753	−	0.0256873i
$651$	1.09403	+	3.00583i	0.0428785	+	0.117808i
$652$	5.23526	−	4.39290i	0.205028	−	0.172039i
$653$	2.90899	+	5.03852i	0.113837	+	0.197172i	0.917314	−	0.398164i	$-0.130352\pi$
$653$	2.90899	+	5.03852i	0.113837	+	0.197172i	−0.803477	+	0.595336i	$0.797019\pi$
$654$	19.8069	+	11.4355i	0.774512	+	0.447165i
$655$	−4.02602	+	0.709896i	−0.157310	+	0.0277379i
$656$	−0.523119	−	2.96675i	−0.0204244	−	0.115832i
$657$	−14.5789	−	8.41713i	−0.568777	−	0.328383i
$658$	−45.6528	+	26.3577i	−1.77973	+	1.02753i
$659$	−31.3666	+	26.3197i	−1.22187	+	1.02527i	−0.223145	+	0.974785i	$0.571632\pi$
$659$	−31.3666	+	26.3197i	−1.22187	+	1.02527i	−0.998725	+	0.0504856i	$0.983923\pi$
$660$	−12.8447	−	6.63045i	−0.499981	−	0.258090i
$661$	6.72005	−	18.4632i	0.261380	−	0.718135i	−0.737695	−	0.675134i	$-0.764086\pi$
$661$	6.72005	−	18.4632i	0.261380	−	0.718135i	0.999075	−	0.0430010i	$-0.0136919\pi$
$662$	8.69660	−	10.3642i	0.338003	−	0.402816i
$663$	−2.39069	+	13.5583i	−0.0928466	+	0.526559i
$664$			3.75748i			0.145819i
$665$	−22.0690	−	24.2959i	−0.855800	−	0.942154i
$666$		−	19.8197i		−	0.768000i
$667$	−6.08910	+	34.5330i	−0.235771	+	1.33712i
$668$	−8.67292	−	7.27745i	−0.335565	−	0.281573i
$669$	22.9152	+	8.34044i	0.885951	+	0.322460i
$670$	3.04413	+	8.36369i	0.117605	+	0.323118i
$671$	3.78985	+	0.485675i	0.146305	+	0.0187493i
$672$	−4.64687	−	8.04861i	−0.179257	−	0.310482i
$673$	−3.49674	+	6.05654i	−0.134790	+	0.233462i	−0.925517	−	0.378706i	$-0.876369\pi$
$673$	−3.49674	+	6.05654i	−0.134790	+	0.233462i	0.790728	+	0.612168i	$0.209702\pi$
$674$	0.620225	+	3.51747i	0.0238902	+	0.135488i
$675$	2.08258	−	0.367215i	0.0801586	−	0.0141341i
$676$	5.65015	−	9.78635i	0.217313	−	0.376398i
$677$	10.5922	+	18.3463i	0.407093	+	0.705105i	0.994563	−	0.104141i	$-0.0332093\pi$
$677$	10.5922	+	18.3463i	0.407093	+	0.705105i	−0.587470	+	0.809246i	$0.699876\pi$
$678$	−26.2791	+	22.0508i	−1.00924	+	0.846855i
$679$	25.6571	−	9.33843i	0.984630	−	0.358376i
$680$	2.92635	−	8.04007i	0.112220	−	0.308323i
$681$	19.9479	−	23.7730i	0.764405	−	0.910982i
$682$	0.960633	−	0.616650i	0.0367845	−	0.0236128i
$683$			19.6435i			0.751639i	0.926693	+	0.375820i	$0.122639\pi$
$683$			19.6435i			0.751639i	−0.926693	+	0.375820i	$0.877361\pi$
$684$	−9.87700	−	3.16161i	−0.377657	−	0.120887i
$685$	6.83651			0.261209
$686$	8.11718	+	1.43128i	0.309915	+	0.0546464i
$687$	28.3409	−	33.7754i	1.08127	−	1.28861i
$688$	−2.21878	+	6.09606i	−0.0845903	+	0.232410i
$689$	5.92210	+	16.2708i	0.225614	+	0.619870i
$690$	−19.9237	−	23.7442i	−0.758483	−	0.903925i
$691$	18.5303	+	32.0953i	0.704924	+	1.22096i	0.966719	+	0.255841i	$0.0823523\pi$
$691$	18.5303	+	32.0953i	0.704924	+	1.22096i	−0.261795	+	0.965124i	$0.584314\pi$
$692$	4.45466	−	7.71570i	0.169341	−	0.293307i
$693$	19.1624	−	25.1517i	0.727919	−	0.955435i
$694$	20.3349	−	3.58560i	0.771904	−	0.136107i
$695$	32.1735	+	18.5754i	1.22041	+	0.704605i
$696$	−9.90363	+	5.71786i	−0.375396	+	0.216735i
$697$	8.81669	+	10.5073i	0.333956	+	0.397993i
$698$	6.25957	+	17.1980i	0.236928	+	0.650955i
$699$	30.6587	+	11.1589i	1.15962	+	0.422067i
$700$	−3.78300	+	4.50840i	−0.142984	+	0.170402i
$701$	17.8596	+	3.14913i	0.674549	+	0.118941i	0.500421	−	0.865782i	$-0.333178\pi$
$701$	17.8596	+	3.14913i	0.674549	+	0.118941i	0.174127	+	0.984723i	$0.444290\pi$
$702$		−	1.87715i		−	0.0708485i
$703$	−35.9799	−	4.89649i	−1.35701	−	0.184675i
$704$	−2.43754	+	2.24908i	−0.0918684	+	0.0847656i
$705$	−56.4654	−	9.95637i	−2.12661	−	0.374979i
$706$	8.75312	+	7.34474i	0.329428	+	0.276423i
$707$	−38.3475	−	13.9573i	−1.44220	−	0.524919i
$708$	3.34176	−	1.21630i	0.125591	−	0.0457114i
$709$	2.11059	−	1.77099i	0.0792647	−	0.0665110i	−0.602294	−	0.798274i	$-0.705747\pi$
$709$	2.11059	−	1.77099i	0.0792647	−	0.0665110i	0.681559	+	0.731763i	$0.261302\pi$
$710$	−7.28409	+	4.20547i	−0.273367	+	0.157829i
$711$	3.62502	−	6.27871i	0.135949	−	0.235470i
$712$	−8.70660	+	1.53521i	−0.326294	+	0.0575344i
$713$	2.41056	−	0.425046i	0.0902761	−	0.0159181i
$714$	36.6462	+	21.1577i	1.37145	+	0.791806i
$715$	7.75777	+	2.41669i	0.290124	+	0.0903789i
$716$	15.7187	+	18.7328i	0.587435	+	0.700078i
$717$	26.0136	−	9.46819i	0.971497	−	0.353596i
$718$	−9.62797	+	26.4526i	−0.359313	+	0.987204i
$719$	−21.4535	−	18.0016i	−0.800080	−	0.671347i	0.148138	−	0.988967i	$-0.452672\pi$
$719$	−21.4535	−	18.0016i	−0.800080	−	0.671347i	−0.948218	+	0.317620i	$0.897116\pi$
$720$	0.776367	−	4.40299i	0.0289335	−	0.164090i
$721$	19.2724			0.717743
$722$	−8.17956	+	17.1492i	−0.304412	+	0.638227i
$723$			48.8698i			1.81749i
$724$	9.88436	+	1.74288i	0.367349	+	0.0647736i
$725$	5.54749	+	4.65490i	0.206029	+	0.172879i
$726$	−23.1958	−	10.6225i	−0.860876	−	0.394240i
$727$	−28.4656	+	10.3606i	−1.05573	+	0.384255i	−0.810823	−	0.585292i	$-0.800980\pi$
$727$	−28.4656	+	10.3606i	−1.05573	+	0.384255i	−0.244908	+	0.969546i	$0.578758\pi$
$728$	3.35804	+	4.00195i	0.124457	+	0.148322i
$729$	−7.45430	−	12.9112i	−0.276085	−	0.478193i
$730$	−11.5149	−	6.64814i	−0.426186	−	0.246059i
$731$	−5.12910	−	29.0886i	−0.189707	−	1.07588i
$732$	0.463972	+	2.63131i	0.0171489	+	0.0972561i
$733$	15.1267	+	8.73339i	0.558717	+	0.322575i	0.752630	−	0.658443i	$-0.228785\pi$
$733$	15.1267	+	8.73339i	0.558717	+	0.322575i	−0.193914	+	0.981019i	$0.562118\pi$
$734$	−10.7349	−	18.5935i	−0.396234	−	0.686298i
$735$	25.3731	+	30.2385i	0.935902	+	1.11536i
$736$	−6.68288	+	2.43237i	−0.246334	+	0.0896584i
$737$	6.06141	+	14.4922i	0.223275	+	0.533828i
$738$	5.49053	+	4.60710i	0.202109	+	0.169590i
$739$	39.6300	+	6.98785i	1.45781	+	0.257052i	0.845675	−	0.533698i	$-0.179198\pi$
$739$	39.6300	+	6.98785i	1.45781	+	0.257052i	0.612140	+	0.790750i	$0.290309\pi$
$740$		−	15.6543i		−	0.575464i
$741$	13.0598	+	1.77730i	0.479764	+	0.0652909i
$742$	53.2193			1.95374
$743$	−1.61534	+	9.16104i	−0.0592610	+	0.336086i	−0.999995	−	0.00305856i	$-0.999026\pi$
$743$	−1.61534	+	9.16104i	−0.0592610	+	0.336086i	0.940734	+	0.339144i	$0.110138\pi$
$744$	0.611506	+	0.513114i	0.0224189	+	0.0188117i
$745$	−12.1813	+	33.4678i	−0.446288	+	1.22617i
$746$	8.00730	−	2.91442i	0.293168	−	0.106704i
$747$	−5.74638	−	6.84827i	−0.210249	−	0.250565i
$748$	4.49133	−	14.4176i	0.164219	−	0.527159i
$749$	57.8056	+	33.3741i	2.11217	+	1.21946i
$750$	−27.7648	+	4.89568i	−1.01383	+	0.178765i
$751$	48.4246	−	8.53856i	1.76704	−	0.311576i	0.806813	−	0.590807i	$-0.201190\pi$
$751$	48.4246	−	8.53856i	1.76704	−	0.311576i	0.960224	+	0.279231i	$0.0900794\pi$
$752$	−6.57772	+	11.3930i	−0.239865	+	0.415458i
$753$	−11.5411	+	6.66328i	−0.420582	+	0.242823i
$754$	4.92431	−	4.13199i	0.179333	−	0.150478i
$755$	−22.6683	+	8.25057i	−0.824982	+	0.300269i
$756$	−5.42164	−	1.97331i	−0.197183	−	0.0717688i
$757$	−35.8749	−	30.1026i	−1.30389	−	1.09410i	−0.989458	−	0.144818i	$-0.953740\pi$
$757$	−35.8749	−	30.1026i	−1.30389	−	1.09410i	−0.314436	−	0.949279i	$-0.601815\pi$
$758$	−24.2274	−	4.27194i	−0.879979	−	0.155164i
$759$	−37.0973	−	40.2058i	−1.34655	−	1.45938i
$760$	−7.80120	−	2.49715i	−0.282979	−	0.0905810i
$761$			11.6562i			0.422539i	0.977428	+	0.211269i	$0.0677597\pi$
$761$			11.6562i			0.422539i	−0.977428	+	0.211269i	$0.932240\pi$
$762$	26.8284	+	4.73057i	0.971890	+	0.171370i
$763$	−25.3996	+	30.2701i	−0.919527	+	1.09585i
$764$	−10.8003	−	3.93099i	−0.390741	−	0.142218i
$765$	6.96235	+	19.1289i	0.251724	+	0.691607i
$766$	7.74043	+	9.22468i	0.279673	+	0.333301i
$767$	−1.73120	+	0.999509i	−0.0625100	+	0.0360902i
$768$	−2.00858	−	1.15965i	−0.0724784	−	0.0418454i
$769$	−51.0271	+	8.99746i	−1.84008	+	0.324457i	−0.981975	−	0.189010i	$-0.939472\pi$
$769$	−51.0271	+	8.99746i	−1.84008	+	0.324457i	−0.858110	+	0.513466i	$0.828361\pi$
$770$	15.1351	−	19.8657i	0.545432	−	0.715910i
$771$	−9.55800	+	16.5549i	−0.344223	+	0.596211i
$772$	0.266377	+	0.461379i	0.00958713	+	0.0166054i
$773$	−34.9721	−	41.6781i	−1.25786	−	1.49906i	−0.787138	−	0.616777i	$-0.788438\pi$
$773$	−34.9721	−	41.6781i	−1.25786	−	1.49906i	−0.470721	−	0.882282i	$-0.656006\pi$
$774$	−5.27892	−	14.5037i	−0.189747	−	0.521325i
$775$	0.172893	−	0.475019i	0.00621050	−	0.0170632i
$776$	4.37984	−	5.21969i	0.157227	−	0.187376i
$777$	76.2447	+	13.4440i	2.73526	+	0.482301i
$778$	10.1356			0.363379
$779$	9.71997	−	8.82908i	0.348254	−	0.316335i
$780$			5.68213i			0.203453i
$781$	−12.4925	+	8.01917i	−0.447015	+	0.286948i
$782$	20.8139	−	24.8050i	0.744303	−	0.887026i
$783$	−2.42812	+	6.67120i	−0.0867739	+	0.238409i
$784$	8.51074	−	3.09766i	0.303955	−	0.110631i
$785$	−20.9288	+	17.5614i	−0.746981	+	0.626792i
$786$	−2.52282	−	4.36966i	−0.0899861	−	0.155861i
$787$	8.13742	−	14.0944i	0.290068	−	0.502412i	−0.683758	−	0.729709i	$-0.739655\pi$
$787$	8.13742	−	14.0944i	0.290068	−	0.502412i	0.973825	+	0.227297i	$0.0729888\pi$
$788$	19.2086	−	3.38699i	0.684277	−	0.120657i
$789$	5.46614	+	31.0000i	0.194600	+	1.10363i
$790$	2.86316	−	4.95915i	0.101867	−	0.176439i
$791$	−29.6346	−	51.3287i	−1.05369	−	1.82504i
$792$	1.00303	−	7.82689i	0.0356411	−	0.278117i
$793$	−0.513689	−	1.41135i	−0.0182416	−	0.0501185i
$794$	−7.24550	−	2.63715i	−0.257133	−	0.0935888i
$795$	44.3422	+	37.2075i	1.57265	+	1.31961i
$796$	−2.64474	+	14.9991i	−0.0937403	+	0.531628i
$797$		−	35.8801i		−	1.27094i	−0.772126	−	0.635470i	$-0.780807\pi$
$797$		−	35.8801i		−	1.27094i	0.772126	−	0.635470i	$-0.219193\pi$
$798$	18.8621	−	35.8513i	0.667711	−	1.26912i
$799$		−	59.8981i		−	2.11904i
$800$	−0.255040	+	1.44640i	−0.00901701	+	0.0511380i
$801$	13.5206	−	16.1132i	0.477726	−	0.569331i
$802$	−4.22937	+	11.6201i	−0.149344	+	0.410320i
$803$	−20.8528	−	10.7642i	−0.735879	−	0.379860i
$804$	−8.41508	+	7.06109i	−0.296777	+	0.249026i
$805$	46.3774	−	26.7760i	1.63459	−	0.943730i
$806$	−0.388602	−	0.224359i	−0.0136879	−	0.00790272i
$807$	8.56123	+	48.5531i	0.301370	+	1.70915i
$808$	−10.0293	+	1.76844i	−0.352830	+	0.0622134i
$809$	−14.0810	−	8.12969i	−0.495063	−	0.285825i	0.231609	−	0.972809i	$-0.425601\pi$
$809$	−14.0810	−	8.12969i	−0.495063	−	0.285825i	−0.726672	+	0.686984i	$0.758934\pi$
$810$	−9.84405	−	17.0504i	−0.345885	−	0.599090i
$811$	19.3764	−	16.2587i	0.680397	−	0.570921i	−0.235725	−	0.971820i	$-0.575747\pi$
$811$	19.3764	−	16.2587i	0.680397	−	0.570921i	0.916122	+	0.400899i	$0.131302\pi$
$812$	−6.75753	−	18.5662i	−0.237143	−	0.651545i
$813$	48.7560	+	17.7457i	1.70995	+	0.622370i
$814$	−1.30018	−	27.5983i	−0.0455712	−	0.967321i
$815$	−2.23008	+	12.6474i	−0.0781163	+	0.443020i
$816$	10.5601			0.369676
$817$	−27.6336	+	5.99996i	−0.966776	+	0.209912i
$818$	23.8069			0.832390
$819$	−12.2405	−	2.15833i	−0.427718	−	0.0754182i
$820$	4.33661	+	3.63885i	0.151441	+	0.127074i
$821$	15.8118	−	43.4425i	0.551835	−	1.51615i	−0.279367	−	0.960184i	$-0.590125\pi$
$821$	15.8118	−	43.4425i	0.551835	−	1.51615i	0.831202	−	0.555970i	$-0.187653\pi$
$822$	2.88588	+	7.92889i	0.100657	+	0.276552i
$823$	−36.7700	+	30.8537i	−1.28172	+	1.07549i	−0.288719	+	0.957414i	$0.593229\pi$
$823$	−36.7700	+	30.8537i	−1.28172	+	1.07549i	−0.993004	+	0.118079i	$0.962326\pi$
$824$	4.16520	−	2.40478i	0.145102	−	0.0837744i
$825$	−11.0215	+	2.48324i	−0.383719	+	0.0864554i
$826$	1.06692	+	6.05081i	0.0371229	+	0.210535i
$827$	6.82910	+	38.7297i	0.237471	+	1.34676i	0.837347	+	0.546672i	$0.184105\pi$
$827$	6.82910	+	38.7297i	0.237471	+	1.34676i	−0.599876	+	0.800093i	$0.704783\pi$
$828$	8.46015	−	14.6534i	0.294011	−	0.509241i
$829$	2.27212	−	1.31181i	0.0789139	−	0.0455610i	−0.460024	−	0.887907i	$-0.652159\pi$
$829$	2.27212	−	1.31181i	0.0789139	−	0.0455610i	0.538938	+	0.842346i	$0.318826\pi$
$830$	−4.53869	−	5.40900i	−0.157540	−	0.187749i
$831$	53.3382	−	19.4135i	1.85028	−	0.673447i
$832$	1.22510	+	0.445901i	0.0424728	+	0.0154588i
$833$	−26.5068	+	31.5895i	−0.918405	+	1.09451i
$834$	−7.96215	+	45.1556i	−0.275707	+	1.56361i
$835$	21.2754			0.736266
$836$	−13.9608	−	3.75450i	−0.482844	−	0.129852i
$837$	0.495566			0.0171293
$838$	−1.51582	+	8.59667i	−0.0523633	+	0.296967i
$839$	−35.0938	+	41.8232i	−1.21157	+	1.44390i	−0.349631	+	0.936887i	$0.613693\pi$
$839$	−35.0938	+	41.8232i	−1.21157	+	1.44390i	−0.861941	+	0.507008i	$0.830751\pi$
$840$	16.4113	+	5.97322i	0.566243	+	0.206096i
$841$	4.40583	−	1.60359i	0.151925	−	0.0552962i
$842$	1.48820	+	1.77357i	0.0512869	+	0.0611213i
$843$	−35.2891	+	20.3742i	−1.21542	+	0.701724i
$844$	5.54279	−	9.60039i	0.190791	−	0.330459i
$845$	3.68745	+	20.9126i	0.126852	+	0.719415i
$846$	−5.43508	−	30.8239i	−0.186862	−	1.05975i
$847$	25.0330	−	36.2800i	0.860145	−	1.24660i
$848$	11.5019	−	6.64061i	0.394976	−	0.228039i
$849$	−31.4458	+	26.3861i	−1.07922	+	0.905570i
$850$	−2.28716	−	6.28392i	−0.0784490	−	0.215537i
$851$	20.2627	−	55.6713i	0.694597	−	1.90839i
$852$	−7.95227	−	6.67275i	−0.272440	−	0.228605i
$853$	1.86389	+	0.328655i	0.0638185	+	0.0112529i	0.205466	−	0.978664i	$-0.434129\pi$
$853$	1.86389	+	0.328655i	0.0638185	+	0.0112529i	−0.141648	+	0.989917i	$0.545240\pi$
$854$	−4.61630			−0.157966
$855$	18.0372	−	7.37929i	0.616858	−	0.252366i
$856$	16.6574			0.569339
$857$	7.75662	−	43.9900i	0.264961	−	1.50267i	−0.504185	−	0.863596i	$-0.668207\pi$
$857$	7.75662	−	43.9900i	0.264961	−	1.50267i	0.769146	−	0.639073i	$-0.220682\pi$
$858$	0.471932	+	10.0175i	0.0161115	+	0.341992i
$859$	38.8908	+	14.1551i	1.32694	+	0.482965i	0.905675	−	0.423974i	$-0.139365\pi$
$859$	38.8908	+	14.1551i	1.32694	+	0.482965i	0.421262	+	0.906939i	$0.361587\pi$
$860$	−4.16947	−	11.4555i	−0.142178	−	0.390630i
$861$	−21.4474	+	17.9965i	−0.730925	+	0.613319i
$862$	1.36958	+	2.37218i	0.0466480	+	0.0807968i
$863$	5.53773	+	3.19721i	0.188507	+	0.108834i	0.591283	−	0.806464i	$-0.298622\pi$
$863$	5.53773	+	3.19721i	0.188507	+	0.108834i	−0.402777	+	0.915298i	$0.631955\pi$
$864$	−1.41796	+	0.250025i	−0.0482401	+	0.00850602i
$865$	2.90724	+	16.4878i	0.0988492	+	0.560602i
$866$	−27.8507	−	16.0796i	−0.946406	−	0.546408i
$867$	−7.49355	+	4.32641i	−0.254494	+	0.146932i
$868$	−1.05651	+	0.886517i	−0.0358603	+	0.0300903i
$869$	4.63583	−	8.98070i	0.157260	−	0.304649i
$870$	7.34991	−	20.1937i	0.249185	−	0.684631i
$871$	3.96917	−	4.73027i	0.134490	−	0.160279i
$872$	−1.71237	+	9.71135i	−0.0579882	+	0.328868i
$873$			16.2114i			0.548673i
$874$	−24.5111	−	18.9783i	−0.829099	−	0.641951i
$875$		−	48.7097i		−	1.64669i
$876$	2.84966	−	16.1612i	0.0962810	−	0.546037i
$877$	10.7834	+	9.04833i	0.364129	+	0.305540i	0.806434	−	0.591324i	$-0.201395\pi$
$877$	10.7834	+	9.04833i	0.364129	+	0.305540i	−0.442305	+	0.896865i	$0.645839\pi$
$878$	10.2495	+	3.73051i	0.345903	+	0.125898i
$879$	6.44591	+	17.7100i	0.217415	+	0.597343i
$880$	0.792228	−	6.18195i	0.0267060	−	0.208394i
$881$	−8.13139	−	14.0840i	−0.273953	−	0.474501i	0.695917	−	0.718122i	$-0.254998\pi$
$881$	−8.13139	−	14.0840i	−0.273953	−	0.474501i	−0.969871	+	0.243621i	$0.921665\pi$
$882$	−10.7741	+	18.6613i	−0.362784	+	0.628359i
$883$	−2.79921	−	15.8751i	−0.0942010	−	0.534241i	−0.994989	−	0.0999819i	$-0.968122\pi$
$883$	−2.79921	−	15.8751i	−0.0942010	−	0.534241i	0.900788	−	0.434259i	$-0.142990\pi$
$884$	−5.84582	+	1.03078i	−0.196616	+	0.0346687i
$885$	−3.34138	+	5.78744i	−0.112319	+	0.194543i
$886$	8.83174	+	15.2970i	0.296708	+	0.513913i
$887$	37.8322	−	31.7450i	1.27028	−	1.06589i	0.275776	−	0.961222i	$-0.411065\pi$
$887$	37.8322	−	31.7450i	1.27028	−	1.06589i	0.994507	−	0.104672i	$-0.0333791\pi$
$888$	18.1557	−	6.60813i	0.609265	−	0.221754i
$889$	−16.0978	+	44.2285i	−0.539904	+	1.48337i
$890$	10.6790	−	12.7268i	0.357961	−	0.426602i
$891$	−18.7710	−	29.2420i	−0.628854	−	0.979644i
$892$			10.5143i			0.352043i
$893$	−57.2991	+	2.25154i	−1.91744	+	0.0753448i
$894$	−43.9576			−1.47016
$895$	−45.2550	−	7.97968i	−1.51271	−	0.266731i
$896$	2.57572	−	3.06963i	0.0860488	−	0.102549i
$897$	−7.35486	+	20.2073i	−0.245572	+	0.674703i
$898$	−0.202950	−	0.557600i	−0.00677252	−	0.0186074i
$899$	1.09084	+	1.30001i	0.0363815	+	0.0433578i
$900$	−1.74718	−	3.02620i	−0.0582393	−	0.100873i
$901$	−30.2354	+	52.3692i	−1.00729	+	1.74467i
$902$	7.94761	+	6.05506i	0.264626	+	0.201611i
$903$	59.3751	−	10.4694i	1.97588	−	0.348401i
$904$	−12.8094	−	7.39551i	−0.426034	−	0.245971i
$905$	−16.3341	+	9.43048i	−0.542963	+	0.313480i
$906$	−19.1378	−	22.8075i	−0.635811	−	0.757730i
$907$	1.28676	+	3.53533i	0.0427260	+	0.117389i	0.959221	−	0.282658i	$-0.0912161\pi$
$907$	1.28676	+	3.53533i	0.0427260	+	0.117389i	−0.916495	+	0.400047i	$0.868994\pi$
$908$	12.5735	+	4.57639i	0.417267	+	0.151873i
$909$	15.5746	−	18.5611i	0.516577	−	0.615633i
$910$	−9.66798	−	1.70473i	−0.320490	−	0.0565111i
$911$		−	24.6206i		−	0.815716i	−0.913045	−	0.407858i	$-0.866276\pi$
$911$		−	24.6206i		−	0.815716i	0.913045	−	0.407858i	$-0.133724\pi$
$912$	−0.396946	−	10.1018i	−0.0131442	−	0.334505i
$913$	−8.45089	−	9.15902i	−0.279684	−	0.303119i
$914$	17.0354	+	3.00379i	0.563479	+	0.0993566i
$915$	−3.84629	−	3.22742i	−0.127154	−	0.106695i
$916$	17.8638	+	6.50189i	0.590236	+	0.214828i
$917$	8.19172	−	2.98154i	0.270515	−	0.0984592i
$918$	5.02198	−	4.21394i	0.165750	−	0.139081i
$919$	−20.7007	+	11.9515i	−0.682852	+	0.394245i	−0.800929	−	0.598760i	$-0.795660\pi$
$919$	−20.7007	+	11.9515i	−0.682852	+	0.394245i	0.118077	+	0.993004i	$0.462327\pi$
$920$	6.68212	−	11.5738i	0.220303	−	0.381576i
$921$	−38.2300	+	6.74098i	−1.25972	+	0.222123i
$922$	4.50726	−	0.794752i	0.148439	−	0.0261738i
$923$	5.05354	+	2.91766i	0.166339	+	0.0960360i
$924$	29.4289	+	9.16764i	0.968141	+	0.301593i
$925$	−7.86453	−	9.37258i	−0.258584	−	0.308169i
$926$	12.6280	−	4.59622i	0.414982	−	0.151041i
$927$	−3.91370	+	10.7528i	−0.128543	+	0.353168i
$928$	−3.77711	−	3.16937i	−0.123990	−	0.104040i
$929$	4.69550	−	26.6295i	0.154054	−	0.873685i	−0.805591	−	0.592472i	$-0.798152\pi$
$929$	4.69550	−	26.6295i	0.154054	−	0.873685i	0.959645	−	0.281213i	$-0.0907368\pi$
$930$	−1.50008			−0.0491894
$931$	31.2152	+	24.1692i	1.02304	+	0.792112i
$932$			14.0673i			0.460788i
$933$	51.3570	+	9.05562i	1.68135	+	0.296468i
$934$	19.8760	+	16.6780i	0.650363	+	0.545720i
$935$	10.9497	+	26.1796i	0.358093	+	0.856165i
$936$	−2.91476	+	1.06088i	−0.0952718	+	0.0346761i
$937$	17.9780	+	21.4253i	0.587315	+	0.699935i	0.975088	−	0.221820i	$-0.0711997\pi$
$937$	17.9780	+	21.4253i	0.587315	+	0.699935i	−0.387772	+	0.921755i	$0.626755\pi$
$938$	−9.48958	−	16.4364i	−0.309846	−	0.536669i
$939$	−49.3283	−	28.4797i	−1.60977	−	0.929400i
$940$	−4.29282	−	24.3458i	−0.140016	−	0.794071i
$941$	1.16725	+	6.61982i	0.0380513	+	0.215800i	0.997905	−	0.0647028i	$-0.0206099\pi$
$941$	1.16725	+	6.61982i	0.0380513	+	0.215800i	−0.959853	+	0.280503i	$0.909499\pi$
$942$	−29.2021	−	16.8598i	−0.951455	−	0.549323i
$943$	10.7122	+	18.5541i	0.348837	+	0.604203i
$944$	0.985594	+	1.17458i	0.0320783	+	0.0382295i
$945$	10.1882	−	3.70820i	0.331422	−	0.120628i
$946$	−8.30216	−	19.8496i	−0.269927	−	0.645367i
$947$	3.27321	+	2.74655i	0.106365	+	0.0892509i	0.694419	−	0.719571i	$-0.255661\pi$
$947$	3.27321	+	2.74655i	0.106365	+	0.0892509i	−0.588054	+	0.808822i	$0.700106\pi$
$948$	6.96017	+	1.22727i	0.226056	+	0.0398598i
$949$			9.22465i			0.299445i
$950$	−5.92528	+	2.42413i	−0.192241	+	0.0786490i
$951$	31.7457			1.02942
$952$	−3.16818	+	17.9676i	−0.102681	+	0.582334i
$953$	44.2832	+	37.1580i	1.43447	+	1.20367i	0.943008	+	0.332771i	$0.107984\pi$
$953$	44.2832	+	37.1580i	1.43447	+	1.20367i	0.491467	+	0.870896i	$0.336461\pi$
$954$	−10.8074	+	29.6930i	−0.349901	+	0.961346i
$955$	20.2956	−	7.38700i	0.656751	−	0.239038i
$956$	7.67227	+	9.14346i	0.248139	+	0.295721i
$957$	11.2806	−	36.2116i	0.364649	−	1.17056i
$958$	−21.4837	−	12.4036i	−0.694107	−	0.400743i
$959$	−14.3566	+	2.53145i	−0.463598	+	0.0817448i
$960$	4.29217	−	0.756825i	0.138529	−	0.0244264i
$961$	−15.4408	+	26.7442i	−0.498089	+	0.862716i
$962$	−9.40556	+	5.43030i	−0.303248	+	0.175080i
$963$	−30.3593	+	25.4745i	−0.978315	+	0.820904i
$964$	−19.8001	+	7.20665i	−0.637719	+	0.232111i
$965$	−0.940762	−	0.342409i	−0.0302842	−	0.0110225i
$966$	50.6316	+	42.4850i	1.62905	+	1.36693i
$967$	−32.8478	−	5.79195i	−1.05631	−	0.186257i	−0.381593	−	0.924330i	$-0.624624\pi$
$967$	−32.8478	−	5.79195i	−1.05631	−	0.186257i	−0.674720	+	0.738074i	$0.735736\pi$
$968$	0.883241	−	10.9645i	0.0283884	−	0.352412i
$969$	24.5626	+	38.9289i	0.789063	+	1.25058i
$970$			12.8043i			0.411122i
$971$	35.0159	+	6.17425i	1.12371	+	0.198141i	0.704471	−	0.709733i	$-0.251184\pi$
$971$	35.0159	+	6.17425i	1.12371	+	0.198141i	0.419243	+	0.907874i	$0.362296\pi$
$972$	12.8429	−	15.3055i	0.411935	−	0.490925i
$973$	−74.4421	−	27.0947i	−2.38651	−	0.868617i
$974$	−7.14100	−	19.6197i	−0.228812	−	0.628657i
$975$	2.85463	+	3.40202i	0.0914214	+	0.108952i
$976$	−0.997684	+	0.576013i	−0.0319351	+	0.0184377i
$977$	−6.84101	−	3.94966i	−0.218863	−	0.126361i	0.386561	−	0.922264i	$-0.373663\pi$
$977$	−6.84101	−	3.94966i	−0.218863	−	0.126361i	−0.605424	+	0.795903i	$0.706996\pi$
$978$	−15.6097	+	2.75241i	−0.499143	+	0.0880123i
$979$	17.7699	−	23.3240i	0.567929	−	0.745439i
$980$	−8.50977	+	14.7394i	−0.271835	+	0.470832i
$981$	−11.7308	−	20.3184i	−0.374536	−	0.648716i
$982$	−5.32757	−	6.34915i	−0.170010	−	0.202610i
$983$	−12.1252	−	33.3138i	−0.386735	−	1.06255i	−0.968462	−	0.249161i	$-0.919845\pi$
$983$	−12.1252	−	33.3138i	−0.386735	−	1.06255i	0.581727	−	0.813384i	$-0.302377\pi$
$984$	−2.38968	+	6.56560i	−0.0761803	+	0.209304i
$985$	−23.5601	+	28.0779i	−0.750688	+	0.894635i
$986$	22.1088	+	3.89837i	0.704086	+	0.124149i
$987$	122.263			3.89168
$988$	1.20579	+	5.55341i	0.0383613	+	0.176678i
$989$		−	46.1361i		−	1.46704i
$990$	8.01028	+	12.4786i	0.254583	+	0.396596i
$991$	−9.62545	+	11.4712i	−0.305763	+	0.364394i	−0.896943	−	0.442145i	$-0.854218\pi$
$991$	−9.62545	+	11.4712i	−0.305763	+	0.364394i	0.591181	+	0.806539i	$0.298662\pi$
$992$	−0.117717	+	0.323425i	−0.00373752	+	0.0102688i
$993$	−29.4867	+	10.7323i	−0.935733	+	0.340579i
$994$	13.7393	−	11.5286i	0.435783	−	0.365666i
$995$	−14.3103	−	24.7862i	−0.453667	−	0.785775i
$996$	4.35738	−	7.54720i	0.138069	−	0.239142i
$997$	−30.3721	+	5.35542i	−0.961894	+	0.169608i	−0.632479	−	0.774578i	$-0.717963\pi$
$997$	−30.3721	+	5.35542i	−0.961894	+	0.169608i	−0.329415	+	0.944185i	$0.606851\pi$
$998$	1.92968	+	10.9438i	0.0610829	+	0.346418i
$999$	5.99724	−	10.3875i	0.189744	−	0.328646i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	418.2.q.b.21.3	yes	60
11.10	odd	2		418.2.q.a.21.3	✓	60
19.10	odd	18		418.2.q.a.219.3	yes	60
209.10	even	18	inner	418.2.q.b.219.3	yes	60

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
418.2.q.a.21.3	✓	60	11.10	odd	2
418.2.q.a.219.3	yes	60	19.10	odd	18
418.2.q.b.21.3	yes	60	1.1	even	1	trivial
418.2.q.b.219.3	yes	60	209.10	even	18	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:	\( N \)	\(=\)	\( 418 = 2 \cdot 11 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	418.q (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.173648 - 0.984808i) q^{2} +(-1.49082 + 1.77669i) q^{3} +(-0.939693 - 0.342020i) q^{4} +(1.76584 - 0.642714i) q^{5} +(1.49082 + 1.77669i) q^{6} +(-3.47026 + 2.00356i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(-0.413143 - 2.34305i) q^{9} +O(q^{10})\)	\(q+(0.173648 - 0.984808i) q^{2} +(-1.49082 + 1.77669i) q^{3} +(-0.939693 - 0.342020i) q^{4} +(1.76584 - 0.642714i) q^{5} +(1.49082 + 1.77669i) q^{6} +(-3.47026 + 2.00356i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(-0.413143 - 2.34305i) q^{9} +(-0.326315 - 1.85062i) q^{10} +(-0.728992 - 3.23552i) q^{11} +(2.00858 - 1.15965i) q^{12} +(-0.998712 + 0.838019i) q^{13} +(1.37051 + 3.76545i) q^{14} +(-1.49065 + 4.09554i) q^{15} +(0.766044 + 0.642788i) q^{16} +(-4.48393 - 0.790638i) q^{17} -2.37920 q^{18} +(-0.587783 + 4.31909i) q^{19} -1.87917 q^{20} +(1.61384 - 9.15254i) q^{21} +(-3.31295 + 0.156075i) q^{22} +(-6.68288 - 2.43237i) q^{23} +(-0.793251 - 2.17944i) q^{24} +(-1.12510 + 0.944072i) q^{25} +(0.651863 + 1.12906i) q^{26} +(-1.24694 - 0.719918i) q^{27} +(3.94623 - 0.695828i) q^{28} +(-0.856200 - 4.85575i) q^{29} +(3.77447 + 2.17919i) q^{30} +(-0.298070 + 0.172091i) q^{31} +(0.766044 - 0.642788i) q^{32} +(6.83532 + 3.52839i) q^{33} +(-1.55725 + 4.27852i) q^{34} +(-4.84022 + 5.76835i) q^{35} +(-0.413143 + 2.34305i) q^{36} +8.33044i q^{37} +(4.15140 + 1.32885i) q^{38} -3.02374i q^{39} +(-0.326315 + 1.85062i) q^{40} +(-2.30773 - 1.93641i) q^{41} +(-8.73325 - 3.17864i) q^{42} +(2.21878 + 6.09606i) q^{43} +(-0.421584 + 3.28972i) q^{44} +(-2.23546 - 3.87193i) q^{45} +(-3.55589 + 6.15898i) q^{46} +(2.28442 + 12.9556i) q^{47} +(-2.28407 + 0.402744i) q^{48} +(4.52847 - 7.84354i) q^{49} +(0.734357 + 1.27194i) q^{50} +(8.08948 - 6.78788i) q^{51} +(1.22510 - 0.445901i) q^{52} +(4.54244 - 12.4803i) q^{53} +(-0.925509 + 1.10298i) q^{54} +(-3.36680 - 5.24488i) q^{55} -4.00711i q^{56} +(-6.79742 - 7.48331i) q^{57} -4.93066 q^{58} +(1.51002 + 0.266257i) q^{59} +(2.80151 - 3.33871i) q^{60} +(-0.394016 + 1.08255i) q^{61} +(0.117717 + 0.323425i) q^{62} +(6.12815 + 7.30324i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(-1.22496 + 2.12170i) q^{65} +(4.66173 - 6.11878i) q^{66} +(-4.66441 + 0.822462i) q^{67} +(3.94311 + 2.27655i) q^{68} +(14.2846 - 8.24720i) q^{69} +(4.84022 + 5.76835i) q^{70} +(-1.53084 - 4.20595i) q^{71} +(2.23571 + 0.813733i) q^{72} +(4.54811 - 5.42023i) q^{73} +(8.20388 + 1.44657i) q^{74} -3.40640i q^{75} +(2.02955 - 3.85758i) q^{76} +(9.01233 + 9.76751i) q^{77} +(-2.97781 - 0.525068i) q^{78} +(2.33434 + 1.95874i) q^{79} +(1.76584 + 0.642714i) q^{80} +(9.84517 - 3.58335i) q^{81} +(-2.30773 + 1.93641i) q^{82} +(3.25407 - 1.87874i) q^{83} +(-4.64687 + 8.04861i) q^{84} +(-8.42608 + 1.48575i) q^{85} +(6.38873 - 1.12651i) q^{86} +(9.90363 + 5.71786i) q^{87} +(3.16654 + 0.986433i) q^{88} +(5.68283 + 6.77253i) q^{89} +(-4.20129 + 1.52914i) q^{90} +(1.78677 - 4.90912i) q^{91} +(5.44794 + 4.57136i) q^{92} +(0.138617 - 0.786137i) q^{93} +13.1554 q^{94} +(1.73801 + 8.00461i) q^{95} +2.31931i q^{96} +(-6.71030 - 1.18321i) q^{97} +(-6.93802 - 5.82169i) q^{98} +(-7.27980 + 3.04480i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 60 q - 3 q^{3} + 3 q^{6} + 18 q^{7} - 30 q^{8} - 3 q^{9}+O(q^{10}) \) 60 * q - 3 * q^3 + 3 * q^6 + 18 * q^7 - 30 * q^8 - 3 * q^9	\( 60 q - 3 q^{3} + 3 q^{6} + 18 q^{7} - 30 q^{8} - 3 q^{9} + 3 q^{11} - 6 q^{13} - 12 q^{14} + 24 q^{15} + 6 q^{17} - 60 q^{18} + 30 q^{19} - 12 q^{20} - 12 q^{21} + 12 q^{22} - 3 q^{24} - 12 q^{25} + 6 q^{26} + 9 q^{27} - 6 q^{28} + 3 q^{29} - 9 q^{31} + 9 q^{33} - 6 q^{34} + 24 q^{35} - 3 q^{36} + 6 q^{38} - 15 q^{41} + 6 q^{42} + 3 q^{43} - 12 q^{44} - 48 q^{45} - 3 q^{46} + 54 q^{47} - 6 q^{48} + 6 q^{49} - 36 q^{50} + 45 q^{51} + 3 q^{52} + 24 q^{53} + 27 q^{54} - 48 q^{55} - 30 q^{57} + 24 q^{58} - 39 q^{59} + 12 q^{60} - 54 q^{61} + 66 q^{63} - 30 q^{64} - 30 q^{66} + 9 q^{67} + 27 q^{68} + 54 q^{69} - 24 q^{70} - 33 q^{71} + 6 q^{72} - 12 q^{74} + 18 q^{77} - 36 q^{79} - 93 q^{81} - 15 q^{82} + 36 q^{83} - 24 q^{84} + 60 q^{85} - 3 q^{86} - 54 q^{87} + 3 q^{88} - 3 q^{89} + 24 q^{90} - 12 q^{91} - 102 q^{93} + 12 q^{94} - 24 q^{95} - 6 q^{97} + 18 q^{98} + 75 q^{99}+O(q^{100}) \) 60 * q - 3 * q^3 + 3 * q^6 + 18 * q^7 - 30 * q^8 - 3 * q^9 + 3 * q^11 - 6 * q^13 - 12 * q^14 + 24 * q^15 + 6 * q^17 - 60 * q^18 + 30 * q^19 - 12 * q^20 - 12 * q^21 + 12 * q^22 - 3 * q^24 - 12 * q^25 + 6 * q^26 + 9 * q^27 - 6 * q^28 + 3 * q^29 - 9 * q^31 + 9 * q^33 - 6 * q^34 + 24 * q^35 - 3 * q^36 + 6 * q^38 - 15 * q^41 + 6 * q^42 + 3 * q^43 - 12 * q^44 - 48 * q^45 - 3 * q^46 + 54 * q^47 - 6 * q^48 + 6 * q^49 - 36 * q^50 + 45 * q^51 + 3 * q^52 + 24 * q^53 + 27 * q^54 - 48 * q^55 - 30 * q^57 + 24 * q^58 - 39 * q^59 + 12 * q^60 - 54 * q^61 + 66 * q^63 - 30 * q^64 - 30 * q^66 + 9 * q^67 + 27 * q^68 + 54 * q^69 - 24 * q^70 - 33 * q^71 + 6 * q^72 - 12 * q^74 + 18 * q^77 - 36 * q^79 - 93 * q^81 - 15 * q^82 + 36 * q^83 - 24 * q^84 + 60 * q^85 - 3 * q^86 - 54 * q^87 + 3 * q^88 - 3 * q^89 + 24 * q^90 - 12 * q^91 - 102 * q^93 + 12 * q^94 - 24 * q^95 - 6 * q^97 + 18 * q^98 + 75 * q^99

Introduction

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