LMFDB - Embedded newform 273.2.by.d.97.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [273,2,Mod(76,273)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(273, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([0, 6, 7]))

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

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

chi := DirichletCharacter("273.76");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 273 = 3 \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	273.by (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:	$2.17991597518$
Analytic rank:	$0$
Dimension:	$32$
Relative dimension:	$8$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			97.4
Character	$\chi$	$=$	273.97
Dual form			273.2.by.d.76.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.189683 - 0.707908i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(1.26690 - 0.731443i) q^{4} +(-1.23329 - 1.23329i) q^{5} +(-0.189683 + 0.707908i) q^{6} +(-2.64473 - 0.0736014i) q^{7} +(-1.79455 - 1.79455i) q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})$	\(q+(-0.189683 - 0.707908i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(1.26690 - 0.731443i) q^{4} +(-1.23329 - 1.23329i) q^{5} +(-0.189683 + 0.707908i) q^{6} +(-2.64473 - 0.0736014i) q^{7} +(-1.79455 - 1.79455i) q^{8} +(0.500000 + 0.866025i) q^{9} +(-0.639122 + 1.10699i) q^{10} +(-3.18977 + 0.854696i) q^{11} -1.46289 q^{12} +(2.53031 - 2.56856i) q^{13} +(0.449558 + 1.88618i) q^{14} +(0.451416 + 1.68471i) q^{15} +(0.532906 - 0.923019i) q^{16} +(-0.433708 - 0.751205i) q^{17} +(0.518224 - 0.518224i) q^{18} +(-1.01858 + 3.80140i) q^{19} +(-2.46454 - 0.660371i) q^{20} +(2.25360 + 1.38610i) q^{21} +(1.21009 + 2.09594i) q^{22} +(-3.77196 - 2.17774i) q^{23} +(0.656852 + 2.45140i) q^{24} -1.95798i q^{25} +(-2.29826 - 1.30401i) q^{26} -1.00000i q^{27} +(-3.40443 + 1.84122i) q^{28} +(2.65427 - 4.59734i) q^{29} +(1.10699 - 0.639122i) q^{30} +(0.220754 + 0.220754i) q^{31} +(-5.65731 - 1.51587i) q^{32} +(3.18977 + 0.854696i) q^{33} +(-0.449517 + 0.449517i) q^{34} +(3.17095 + 3.35249i) q^{35} +(1.26690 + 0.731443i) q^{36} +(-3.57217 + 0.957160i) q^{37} +2.88425 q^{38} +(-3.47560 + 0.959284i) q^{39} +4.42641i q^{40} +(1.90334 - 0.509998i) q^{41} +(0.553764 - 1.85826i) q^{42} +(9.99342 - 5.76970i) q^{43} +(-3.41595 + 3.41595i) q^{44} +(0.451416 - 1.68471i) q^{45} +(-0.826162 + 3.08328i) q^{46} +(3.68984 - 3.68984i) q^{47} +(-0.923019 + 0.532906i) q^{48} +(6.98917 + 0.389311i) q^{49} +(-1.38607 + 0.371397i) q^{50} +0.867417i q^{51} +(1.32689 - 5.10489i) q^{52} -3.55843 q^{53} +(-0.707908 + 0.189683i) q^{54} +(4.98801 + 2.87983i) q^{55} +(4.61402 + 4.87818i) q^{56} +(2.78282 - 2.78282i) q^{57} +(-3.75796 - 1.00694i) q^{58} +(8.89645 + 2.38380i) q^{59} +(1.80417 + 1.80417i) q^{60} +(4.78192 - 2.76084i) q^{61} +(0.114400 - 0.198147i) q^{62} +(-1.25862 - 2.32720i) q^{63} +2.16076i q^{64} +(-6.28840 + 0.0471733i) q^{65} -2.42019i q^{66} +(1.01969 + 3.80552i) q^{67} +(-1.09893 - 0.634466i) q^{68} +(2.17774 + 3.77196i) q^{69} +(1.77178 - 2.88065i) q^{70} +(11.9487 + 3.20164i) q^{71} +(0.656852 - 2.45140i) q^{72} +(5.55302 - 5.55302i) q^{73} +(1.35516 + 2.34721i) q^{74} +(-0.978991 + 1.69566i) q^{75} +(1.49007 + 5.56101i) q^{76} +(8.49898 - 2.02567i) q^{77} +(1.33835 + 2.27844i) q^{78} -15.7334 q^{79} +(-1.79558 + 0.481124i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(-0.722063 - 1.25065i) q^{82} +(-3.80823 - 3.80823i) q^{83} +(3.86894 + 0.107671i) q^{84} +(-0.391566 + 1.46134i) q^{85} +(-5.98000 - 5.98000i) q^{86} +(-4.59734 + 2.65427i) q^{87} +(7.25801 + 4.19041i) q^{88} +(-3.26801 - 12.1964i) q^{89} -1.27824 q^{90} +(-6.88104 + 6.60691i) q^{91} -6.37158 q^{92} +(-0.0808014 - 0.301555i) q^{93} +(-3.31197 - 1.91217i) q^{94} +(5.94444 - 3.43202i) q^{95} +(4.14143 + 4.14143i) q^{96} +(0.756697 - 2.82403i) q^{97} +(-1.05013 - 5.02153i) q^{98} +(-2.33507 - 2.33507i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 32 q - 2 q^{2} + 6 q^{4} + 2 q^{5} - 2 q^{6} + 2 q^{7} + 2 q^{8} + 16 q^{9}+O(q^{10}) $ 32 * q - 2 * q^2 + 6 * q^4 + 2 * q^5 - 2 * q^6 + 2 * q^7 + 2 * q^8 + 16 * q^9	$ 32 q - 2 q^{2} + 6 q^{4} + 2 q^{5} - 2 q^{6} + 2 q^{7} + 2 q^{8} + 16 q^{9} + 2 q^{10} - 4 q^{11} + 32 q^{12} + 6 q^{13} + 34 q^{14} + 4 q^{15} + 14 q^{16} - 8 q^{17} + 2 q^{18} + 2 q^{19} + 44 q^{20} - 4 q^{21} - 4 q^{22} - 18 q^{23} + 4 q^{24} - 28 q^{26} - 32 q^{28} - 18 q^{29} - 14 q^{31} - 8 q^{32} + 4 q^{33} - 66 q^{34} + 22 q^{35} + 6 q^{36} - 24 q^{37} + 24 q^{38} + 8 q^{39} - 26 q^{42} - 6 q^{43} - 20 q^{44} + 4 q^{45} - 58 q^{46} - 28 q^{47} - 60 q^{48} + 8 q^{49} + 70 q^{50} + 28 q^{52} - 80 q^{53} - 4 q^{54} + 60 q^{55} - 54 q^{56} + 16 q^{57} - 4 q^{58} - 42 q^{59} - 58 q^{60} + 36 q^{61} + 52 q^{62} + 4 q^{63} + 14 q^{65} + 26 q^{67} - 72 q^{68} + 2 q^{69} - 116 q^{70} - 4 q^{71} + 4 q^{72} + 12 q^{73} - 18 q^{74} + 16 q^{75} - 48 q^{76} + 28 q^{77} - 14 q^{78} - 4 q^{79} - 98 q^{80} - 16 q^{81} + 20 q^{82} - 36 q^{83} - 18 q^{84} - 10 q^{85} - 40 q^{86} + 96 q^{88} - 54 q^{89} + 4 q^{90} + 148 q^{91} - 4 q^{92} + 2 q^{93} + 60 q^{95} + 22 q^{96} - 40 q^{97} + 36 q^{98} + 4 q^{99}+O(q^{100}) $ 32 * q - 2 * q^2 + 6 * q^4 + 2 * q^5 - 2 * q^6 + 2 * q^7 + 2 * q^8 + 16 * q^9 + 2 * q^10 - 4 * q^11 + 32 * q^12 + 6 * q^13 + 34 * q^14 + 4 * q^15 + 14 * q^16 - 8 * q^17 + 2 * q^18 + 2 * q^19 + 44 * q^20 - 4 * q^21 - 4 * q^22 - 18 * q^23 + 4 * q^24 - 28 * q^26 - 32 * q^28 - 18 * q^29 - 14 * q^31 - 8 * q^32 + 4 * q^33 - 66 * q^34 + 22 * q^35 + 6 * q^36 - 24 * q^37 + 24 * q^38 + 8 * q^39 - 26 * q^42 - 6 * q^43 - 20 * q^44 + 4 * q^45 - 58 * q^46 - 28 * q^47 - 60 * q^48 + 8 * q^49 + 70 * q^50 + 28 * q^52 - 80 * q^53 - 4 * q^54 + 60 * q^55 - 54 * q^56 + 16 * q^57 - 4 * q^58 - 42 * q^59 - 58 * q^60 + 36 * q^61 + 52 * q^62 + 4 * q^63 + 14 * q^65 + 26 * q^67 - 72 * q^68 + 2 * q^69 - 116 * q^70 - 4 * q^71 + 4 * q^72 + 12 * q^73 - 18 * q^74 + 16 * q^75 - 48 * q^76 + 28 * q^77 - 14 * q^78 - 4 * q^79 - 98 * q^80 - 16 * q^81 + 20 * q^82 - 36 * q^83 - 18 * q^84 - 10 * q^85 - 40 * q^86 + 96 * q^88 - 54 * q^89 + 4 * q^90 + 148 * q^91 - 4 * q^92 + 2 * q^93 + 60 * q^95 + 22 * q^96 - 40 * q^97 + 36 * q^98 + 4 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/273\mathbb{Z}\right)^\times$.

$n$	$92$	$106$	$157$
$\chi(n)$	$1$	$e\left(\frac{5}{12}\right)$	$-1$

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 $

$2$	−0.189683	−	0.707908i	−0.134126	−	0.500566i	−1.00000		0.000303559i	$-0.999903\pi$
$2$	−0.189683	−	0.707908i	−0.134126	−	0.500566i	0.865874	−	0.500263i	$-0.166763\pi$
$3$	−0.866025	−	0.500000i	−0.500000	−	0.288675i
$3$	−0.866025	−	0.500000i	−0.500000	−	0.288675i
$4$	1.26690	−	0.731443i	0.633449	−	0.365722i
$5$	−1.23329	−	1.23329i	−0.551545	−	0.551545i	0.375342	−	0.926887i	$-0.377525\pi$
$5$	−1.23329	−	1.23329i	−0.551545	−	0.551545i	−0.926887	+	0.375342i	$0.877525\pi$
$6$	−0.189683	+	0.707908i	−0.0774379	+	0.289002i
$7$	−2.64473	−	0.0736014i	−0.999613	−	0.0278187i
$7$	−2.64473	−	0.0736014i	−0.999613	−	0.0278187i
$8$	−1.79455	−	1.79455i	−0.634470	−	0.634470i
$9$	0.500000	+	0.866025i	0.166667	+	0.288675i
$10$	−0.639122	+	1.10699i	−0.202108	+	0.350062i
$11$	−3.18977	+	0.854696i	−0.961752	+	0.257701i	−0.705342	−	0.708867i	$-0.749206\pi$
$11$	−3.18977	+	0.854696i	−0.961752	+	0.257701i	−0.256410	+	0.966568i	$0.582540\pi$
$12$	−1.46289			−0.422299
$13$	2.53031	−	2.56856i	0.701783	−	0.712391i
$13$	2.53031	−	2.56856i	0.701783	−	0.712391i
$14$	0.449558	+	1.88618i	0.120149	+	0.504104i
$15$	0.451416	+	1.68471i	0.116555	+	0.434990i
$16$	0.532906	−	0.923019i	0.133226	−	0.230755i
$17$	−0.433708	−	0.751205i	−0.105190	−	0.182194i	0.808626	−	0.588323i	$-0.200212\pi$
$17$	−0.433708	−	0.751205i	−0.105190	−	0.182194i	−0.913816	+	0.406129i	$0.866878\pi$
$18$	0.518224	−	0.518224i	0.122147	−	0.122147i
$19$	−1.01858	+	3.80140i	−0.233679	+	0.872100i	0.745061	+	0.666996i	$0.232420\pi$
$19$	−1.01858	+	3.80140i	−0.233679	+	0.872100i	−0.978740	+	0.205105i	$0.934247\pi$
$20$	−2.46454	−	0.660371i	−0.551087	−	0.147663i
$21$	2.25360	+	1.38610i	0.491776	+	0.302473i
$22$	1.21009	+	2.09594i	0.257993	+	0.446856i
$23$	−3.77196	−	2.17774i	−0.786508	−	0.454090i	0.0522240	−	0.998635i	$-0.483369\pi$
$23$	−3.77196	−	2.17774i	−0.786508	−	0.454090i	−0.838732	+	0.544545i	$0.816702\pi$
$24$	0.656852	+	2.45140i	0.134079	+	0.500391i
$25$		−	1.95798i		−	0.391596i
$26$	−2.29826	−	1.30401i	−0.450727	−	0.255738i
$27$		−	1.00000i		−	0.192450i
$28$	−3.40443	+	1.84122i	−0.643377	+	0.347958i
$29$	2.65427	−	4.59734i	0.492886	−	0.853704i	−0.507080	−	0.861899i	$-0.669275\pi$
$29$	2.65427	−	4.59734i	0.492886	−	0.853704i	0.999966	+	0.00819474i	$0.00260850\pi$
$30$	1.10699	−	0.639122i	0.202108	−	0.116687i
$31$	0.220754	+	0.220754i	0.0396485	+	0.0396485i	0.726653	−	0.687005i	$-0.241075\pi$
$31$	0.220754	+	0.220754i	0.0396485	+	0.0396485i	−0.687005	+	0.726653i	$0.741075\pi$
$32$	−5.65731	−	1.51587i	−1.00008	−	0.267971i
$33$	3.18977	+	0.854696i	0.555268	+	0.148784i
$34$	−0.449517	+	0.449517i	−0.0770915	+	0.0770915i
$35$	3.17095	+	3.35249i	0.535988	+	0.566675i
$36$	1.26690	+	0.731443i	0.211150	+	0.121907i
$37$	−3.57217	+	0.957160i	−0.587261	+	0.157356i	−0.540201	−	0.841536i	$-0.681652\pi$
$37$	−3.57217	+	0.957160i	−0.587261	+	0.157356i	−0.0470599	+	0.998892i	$0.514985\pi$
$38$	2.88425			0.467887
$39$	−3.47560	+	0.959284i	−0.556541	+	0.153608i
$40$			4.42641i			0.699878i
$41$	1.90334	−	0.509998i	0.297251	−	0.0796483i	−0.107111	−	0.994247i	$-0.534160\pi$
$41$	1.90334	−	0.509998i	0.297251	−	0.0796483i	0.404363	+	0.914599i	$0.367493\pi$
$42$	0.553764	−	1.85826i	0.0854476	−	0.286736i
$43$	9.99342	−	5.76970i	1.52398	−	0.879872i	0.524386	−	0.851481i	$-0.324295\pi$
$43$	9.99342	−	5.76970i	1.52398	−	0.879872i	0.999597	−	0.0283909i	$-0.00903832\pi$
$44$	−3.41595	+	3.41595i	−0.514974	+	0.514974i
$45$	0.451416	−	1.68471i	0.0672931	−	0.251141i
$46$	−0.826162	+	3.08328i	−0.121811	+	0.454605i
$47$	3.68984	−	3.68984i	0.538219	−	0.538219i	−0.384786	−	0.923006i	$-0.625725\pi$
$47$	3.68984	−	3.68984i	0.538219	−	0.538219i	0.923006	+	0.384786i	$0.125725\pi$
$48$	−0.923019	+	0.532906i	−0.133226	+	0.0769183i
$49$	6.98917	+	0.389311i	0.998452	+	0.0556159i
$50$	−1.38607	+	0.371397i	−0.196020	+	0.0525234i
$51$			0.867417i			0.121463i
$52$	1.32689	−	5.10489i	0.184006	−	0.707920i
$53$	−3.55843			−0.488788			−0.244394	−	0.969676i	$-0.578589\pi$
$53$	−3.55843			−0.488788			−0.244394	+	0.969676i	$0.578589\pi$
$54$	−0.707908	+	0.189683i	−0.0963341	+	0.0258126i
$55$	4.98801	+	2.87983i	0.672583	+	0.388316i
$56$	4.61402	+	4.87818i	0.616575	+	0.651875i
$57$	2.78282	−	2.78282i	0.368593	−	0.368593i
$58$	−3.75796	−	1.00694i	−0.493445	−	0.132218i
$59$	8.89645	+	2.38380i	1.15822	+	0.310344i	0.786255	−	0.617903i	$-0.212017\pi$
$59$	8.89645	+	2.38380i	1.15822	+	0.310344i	0.371965	+	0.928247i	$0.378684\pi$
$60$	1.80417	+	1.80417i	0.232917	+	0.232917i
$61$	4.78192	−	2.76084i	0.612262	−	0.353490i	−0.161588	−	0.986858i	$-0.551662\pi$
$61$	4.78192	−	2.76084i	0.612262	−	0.353490i	0.773850	+	0.633369i	$0.218328\pi$
$62$	0.114400	−	0.198147i	0.0145288	−	0.0251646i
$63$	−1.25862	−	2.32720i	−0.158572	−	0.293200i
$64$			2.16076i			0.270095i
$65$	−6.28840	+	0.0471733i	−0.779980	+	0.00585112i
$66$		−	2.42019i		−	0.297904i
$67$	1.01969	+	3.80552i	0.124575	+	0.464919i	0.999824	−	0.0187529i	$-0.00596958\pi$
$67$	1.01969	+	3.80552i	0.124575	+	0.464919i	−0.875250	+	0.483672i	$0.839303\pi$
$68$	−1.09893	−	0.634466i	−0.133265	−	0.0769403i
$69$	2.17774	+	3.77196i	0.262169	+	0.454090i
$70$	1.77178	−	2.88065i	0.211768	−	0.344304i
$71$	11.9487	+	3.20164i	1.41805	+	0.379965i	0.884791	−	0.465987i	$-0.154301\pi$
$71$	11.9487	+	3.20164i	1.41805	+	0.379965i	0.533258	+	0.845952i	$0.320967\pi$
$72$	0.656852	−	2.45140i	0.0774107	−	0.288901i
$73$	5.55302	−	5.55302i	0.649932	−	0.649932i	−0.303044	−	0.952977i	$-0.598003\pi$
$73$	5.55302	−	5.55302i	0.649932	−	0.649932i	0.952977	+	0.303044i	$0.0980030\pi$
$74$	1.35516	+	2.34721i	0.157534	+	0.272858i
$75$	−0.978991	+	1.69566i	−0.113044	+	0.195798i
$76$	1.49007	+	5.56101i	0.170923	+	0.637892i
$77$	8.49898	−	2.02567i	0.968549	−	0.230846i
$78$	1.33835	+	2.27844i	0.151538	+	0.257983i
$79$	−15.7334			−1.77015			−0.885073	−	0.465453i	$-0.845891\pi$
$79$	−15.7334			−1.77015			−0.885073	+	0.465453i	$0.845891\pi$
$80$	−1.79558	+	0.481124i	−0.200752	+	0.0537913i
$81$	−0.500000	+	0.866025i	−0.0555556	+	0.0962250i
$82$	−0.722063	−	1.25065i	−0.0797385	−	0.138111i
$83$	−3.80823	−	3.80823i	−0.418007	−	0.418007i	0.466509	−	0.884516i	$-0.345512\pi$
$83$	−3.80823	−	3.80823i	−0.418007	−	0.418007i	−0.884516	+	0.466509i	$0.845512\pi$
$84$	3.86894	+	0.107671i	0.422136	+	0.0117478i
$85$	−0.391566	+	1.46134i	−0.0424713	+	0.158505i
$86$	−5.98000	−	5.98000i	−0.644841	−	0.644841i
$87$	−4.59734	+	2.65427i	−0.492886	+	0.284568i
$88$	7.25801	+	4.19041i	0.773706	+	0.446700i
$89$	−3.26801	−	12.1964i	−0.346409	−	1.29282i	−0.890958	−	0.454086i	$-0.849966\pi$
$89$	−3.26801	−	12.1964i	−0.346409	−	1.29282i	0.544549	−	0.838729i	$-0.316701\pi$
$90$	−1.27824			−0.134739
$91$	−6.88104	+	6.60691i	−0.721329	+	0.692593i
$92$	−6.37158			−0.664283
$93$	−0.0808014	−	0.301555i	−0.00837872	−	0.0312698i
$94$	−3.31197	−	1.91217i	−0.341604	−	0.197225i
$95$	5.94444	−	3.43202i	0.609887	−	0.352118i
$96$	4.14143	+	4.14143i	0.422683	+	0.422683i
$97$	0.756697	−	2.82403i	0.0768309	−	0.286737i	−0.916811	−	0.399321i	$-0.869246\pi$
$97$	0.756697	−	2.82403i	0.0768309	−	0.286737i	0.993642	+	0.112584i	$0.0359127\pi$
$98$	−1.05013	−	5.02153i	−0.106079	−	0.507251i
$99$	−2.33507	−	2.33507i	−0.234684	−	0.234684i
$100$	−1.43215	−	2.48056i	−0.143215	−	0.248056i
$101$	−4.75389	+	8.23397i	−0.473029	+	0.819311i	−0.999523	−	0.0308679i	$-0.990173\pi$
$101$	−4.75389	+	8.23397i	−0.473029	+	0.819311i	0.526494	+	0.850179i	$0.323506\pi$
$102$	0.614051	−	0.164534i	0.0608001	−	0.0162913i
$103$	−8.04351			−0.792551			−0.396275	−	0.918132i	$-0.629697\pi$
$103$	−8.04351			−0.792551			−0.396275	+	0.918132i	$0.629697\pi$
$104$	−9.15020	+	0.0686414i	−0.897251	+	0.00673085i
$105$	−1.06988	−	4.48882i	−0.104409	−	0.438064i
$106$	0.674975	+	2.51904i	0.0655594	+	0.244671i
$107$	5.49111	−	9.51088i	0.530845	−	0.919451i	−0.468507	−	0.883460i	$-0.655208\pi$
$107$	5.49111	−	9.51088i	0.530845	−	0.919451i	0.999352	−	0.0359912i	$-0.0114588\pi$
$108$	−0.731443	−	1.26690i	−0.0703832	−	0.121907i
$109$	−2.13897	+	2.13897i	−0.204876	+	0.204876i	−0.802086	−	0.597209i	$-0.796276\pi$
$109$	−2.13897	+	2.13897i	−0.204876	+	0.204876i	0.597209	+	0.802086i	$0.296276\pi$
$110$	1.09251	−	4.07731i	0.104167	−	0.388756i
$111$	3.57217	+	0.957160i	0.339055	+	0.0908496i
$112$	−1.47733	+	2.40191i	−0.139594	+	0.226959i
$113$	7.04028	+	12.1941i	0.662294	+	1.14713i	0.980011	+	0.198941i	$0.0637503\pi$
$113$	7.04028	+	12.1941i	0.662294	+	1.14713i	−0.317718	+	0.948185i	$0.602916\pi$
$114$	−2.49783	−	1.44212i	−0.233943	−	0.135067i
$115$	1.96614	+	7.33772i	0.183343	+	0.684246i
$116$		−	7.76581i		−	0.721037i
$117$	3.48960	+	0.907034i	0.322613	+	0.0838553i
$118$		−	6.75004i		−	0.621391i
$119$	1.09175	+	2.01865i	0.100081	+	0.185050i
$120$	2.21321	−	3.83339i	0.202037	−	0.349939i
$121$	−0.0821489	+	0.0474287i	−0.00746808	+	0.00431170i
$122$	−2.86147	−	2.86147i	−0.259066	−	0.259066i
$123$	−1.90334	−	0.509998i	−0.171618	−	0.0459849i
$124$	0.441141	+	0.118203i	0.0396156	+	0.0106150i
$125$	−8.58122	+	8.58122i	−0.767528	+	0.767528i
$126$	−1.40870	+	1.33242i	−0.125497	+	0.118701i
$127$	4.95962	+	2.86344i	0.440095	+	0.254089i	0.703638	−	0.710559i	$-0.251558\pi$
$127$	4.95962	+	2.86344i	0.440095	+	0.254089i	−0.263543	+	0.964648i	$0.584891\pi$
$128$	−9.78499	+	2.62188i	−0.864879	+	0.231744i
$129$	−11.5394			−1.01599
$130$	1.22620	+	4.44266i	0.107545	+	0.389647i
$131$			21.7908i			1.90387i	0.306294	+	0.951937i	$0.400911\pi$
$131$			21.7908i			1.90387i	−0.306294	+	0.951937i	$0.599089\pi$
$132$	4.66627	−	1.25032i	0.406147	−	0.108827i
$133$	2.97366	−	9.97869i	0.257849	−	0.865262i
$134$	2.50054	−	1.44369i	0.216014	−	0.124716i
$135$	−1.23329	+	1.23329i	−0.106145	+	0.106145i
$136$	−0.569764	+	2.12639i	−0.0488569	+	0.182336i
$137$	0.00993599	−	0.0370816i	0.000848889	−	0.00316810i	−0.965500	−	0.260403i	$-0.916145\pi$
$137$	0.00993599	−	0.0370816i	0.000848889	−	0.00316810i	0.966349	+	0.257235i	$0.0828113\pi$
$138$	2.25712	−	2.25712i	0.192139	−	0.192139i
$139$	−14.5766	+	8.41579i	−1.23637	+	0.713818i	−0.968350	−	0.249596i	$-0.919702\pi$
$139$	−14.5766	+	8.41579i	−1.23637	+	0.713818i	−0.268018	+	0.963414i	$0.586369\pi$
$140$	6.46942	+	1.92789i	0.546766	+	0.162937i
$141$	−5.04042	+	1.35058i	−0.424480	+	0.113739i
$142$		−	9.06588i		−	0.760792i
$143$	−5.87578	+	10.3558i	−0.491357	+	0.865994i
$144$	1.06581			0.0888176
$145$	−8.94335	+	2.39636i	−0.742705	+	0.199007i
$146$	−4.98435	−	2.87771i	−0.412507	−	0.238161i
$147$	−5.85814	−	3.83174i	−0.483171	−	0.316036i
$148$	−3.82546	+	3.82546i	−0.314451	+	0.314451i
$149$	13.8533	+	3.71198i	1.13491	+	0.304097i	0.776901	−	0.629622i	$-0.216790\pi$
$149$	13.8533	+	3.71198i	1.13491	+	0.304097i	0.358005	+	0.933720i	$0.383457\pi$
$150$	1.38607	+	0.371397i	0.113172	+	0.0303244i
$151$	−16.8022	−	16.8022i	−1.36735	−	1.36735i	−0.864204	−	0.503142i	$-0.832177\pi$
$151$	−16.8022	−	16.8022i	−1.36735	−	1.36735i	−0.503142	−	0.864204i	$-0.667823\pi$
$152$	8.64971	−	4.99391i	0.701584	−	0.405060i
$153$	0.433708	−	0.751205i	0.0350632	−	0.0607313i
$154$	−3.04610	−	5.63226i	−0.245462	−	0.453860i
$155$		−	0.544507i		−	0.0437359i
$156$	−3.70156	+	3.75752i	−0.296362	+	0.300842i
$157$		−	15.4058i		−	1.22952i	−0.788715	−	0.614758i	$-0.789254\pi$
$157$		−	15.4058i		−	1.22952i	0.788715	−	0.614758i	$-0.210746\pi$
$158$	2.98436	+	11.1378i	0.237423	+	0.886075i
$159$	3.08169	+	1.77922i	0.244394	+	0.141101i
$160$	5.10760	+	8.84662i	0.403791	+	0.699387i
$161$	9.81552	+	6.03715i	0.773571	+	0.475794i
$162$	0.707908	+	0.189683i	0.0556185	+	0.0149029i
$163$	−0.340861	+	1.27211i	−0.0266983	+	0.0996393i	−0.977989	−	0.208655i	$-0.933091\pi$
$163$	−0.340861	+	1.27211i	−0.0266983	+	0.0996393i	0.951291	+	0.308294i	$0.0997581\pi$
$164$	2.03830	−	2.03830i	0.159164	−	0.159164i
$165$	−2.87983	−	4.98801i	−0.224194	−	0.388316i
$166$	−1.97352	+	3.41823i	−0.153175	+	0.265306i
$167$	−6.28848	−	23.4689i	−0.486617	−	1.81608i	−0.572665	−	0.819789i	$-0.694091\pi$
$167$	−6.28848	−	23.4689i	−0.486617	−	1.81608i	0.0860480	−	0.996291i	$-0.472576\pi$
$168$	−1.55677	−	6.53164i	−0.120107	−	0.503927i
$169$	−0.195031	−	12.9985i	−0.0150024	−	0.999887i
$170$	1.10877			0.0850388
$171$	−3.80140	+	1.01858i	−0.290700	+	0.0778929i
$172$	8.44042	−	14.6192i	0.643576	−	1.11471i
$173$	−0.316932	−	0.548943i	−0.0240959	−	0.0417353i	0.853726	−	0.520722i	$-0.174337\pi$
$173$	−0.316932	−	0.548943i	−0.0240959	−	0.0417353i	−0.877822	+	0.478987i	$0.841004\pi$
$174$	2.75102	+	2.75102i	0.208554	+	0.208554i
$175$	−0.144110	+	5.17833i	−0.0108937	+	0.391445i
$176$	−0.910945	+	3.39969i	−0.0686651	+	0.256261i
$177$	−6.51266	−	6.51266i	−0.489521	−	0.489521i
$178$	−8.01403	+	4.62691i	−0.600677	+	0.346801i
$179$	12.6821	+	7.32204i	0.947908	+	0.547275i	0.892431	−	0.451185i	$-0.148998\pi$
$179$	12.6821	+	7.32204i	0.947908	+	0.547275i	0.0554778	+	0.998460i	$0.482332\pi$
$180$	−0.660371	−	2.46454i	−0.0492211	−	0.183696i
$181$	6.41112			0.476535			0.238267	−	0.971200i	$-0.423421\pi$
$181$	6.41112			0.476535			0.238267	+	0.971200i	$0.423421\pi$
$182$	5.98230	+	3.61792i	0.443438	+	0.268178i
$183$	−5.52169			−0.408175
$184$	2.86091	+	10.6770i	0.210909	+	0.787122i
$185$	5.58598	+	3.22507i	0.410690	+	0.237112i
$186$	−0.198147	+	0.114400i	−0.0145288	+	0.00838821i
$187$	2.02548	+	2.02548i	0.148118	+	0.148118i
$188$	1.97574	−	7.37357i	0.144096	−	0.537773i
$189$	−0.0736014	+	2.64473i	−0.00535372	+	0.192376i
$190$	−3.55712	−	3.55712i	−0.258060	−	0.258060i
$191$	2.37706	+	4.11718i	0.171998	+	0.297909i	0.939118	−	0.343594i	$-0.111644\pi$
$191$	2.37706	+	4.11718i	0.171998	+	0.297909i	−0.767120	+	0.641503i	$0.778311\pi$
$192$	1.08038	−	1.87128i	0.0779698	−	0.135048i
$193$	−9.10651	+	2.44008i	−0.655501	+	0.175641i	−0.571215	−	0.820801i	$-0.693528\pi$
$193$	−9.10651	+	2.44008i	−0.655501	+	0.175641i	−0.0842861	+	0.996442i	$0.526861\pi$
$194$	−2.14269			−0.153836
$195$	5.46950	+	3.10335i	0.391679	+	0.222235i
$196$	9.13931	−	4.61896i	0.652808	−	0.329926i
$197$	2.90812	+	10.8532i	0.207195	+	0.773262i	0.988769	+	0.149450i	$0.0477503\pi$
$197$	2.90812	+	10.8532i	0.207195	+	0.773262i	−0.781574	+	0.623812i	$0.785583\pi$
$198$	−1.21009	+	2.09594i	−0.0859975	+	0.148952i
$199$	−6.27981	−	10.8770i	−0.445164	−	0.771047i	0.552899	−	0.833248i	$-0.313521\pi$
$199$	−6.27981	−	10.8770i	−0.445164	−	0.771047i	−0.998064	+	0.0622009i	$0.980188\pi$
$200$	−3.51370	+	3.51370i	−0.248456	+	0.248456i
$201$	1.01969	−	3.80552i	0.0719232	−	0.268421i
$202$	6.73063	+	1.80347i	0.473565	+	0.126891i
$203$	−7.35820	+	11.9633i	−0.516445	+	0.839662i
$204$	0.634466	+	1.09893i	0.0444215	+	0.0769403i
$205$	−2.97635	−	1.71839i	−0.207877	−	0.120018i
$206$	1.52572	+	5.69406i	0.106302	+	0.396724i
$207$		−	4.35548i		−	0.302727i
$208$	−1.02242	−	3.70433i	−0.0708918	−	0.256849i
$209$		−	12.9962i		−	0.898963i
$210$	−2.97473	+	1.60883i	−0.205276	+	0.111020i
$211$	−5.70417	+	9.87991i	−0.392691	+	0.680161i	−0.992804	−	0.119755i	$-0.961789\pi$
$211$	−5.70417	+	9.87991i	−0.392691	+	0.680161i	0.600112	+	0.799916i	$0.295123\pi$
$212$	−4.50817	+	2.60279i	−0.309622	+	0.178760i
$213$	−8.74706	−	8.74706i	−0.599338	−	0.599338i
$214$	−7.77440	−	2.08314i	−0.531447	−	0.142401i
$215$	−19.4405	−	5.20908i	−1.32583	−	0.355256i
$216$	−1.79455	+	1.79455i	−0.122104	+	0.122104i
$217$	−0.567585	−	0.600081i	−0.0385302	−	0.0407362i
$218$	1.91992	+	1.10847i	0.130034	+	0.0750749i
$219$	−7.58557	+	2.03255i	−0.512585	+	0.137347i
$220$	8.42572			0.568062
$221$	−3.02693	−	0.786776i	−0.203614	−	0.0529243i
$222$		−	2.71032i		−	0.181905i
$223$	7.03645	−	1.88541i	0.471196	−	0.126257i	−0.0154044	−	0.999881i	$-0.504904\pi$
$223$	7.03645	−	1.88541i	0.471196	−	0.126257i	0.486600	+	0.873625i	$0.338237\pi$
$224$	14.8505	+	4.42545i	0.992238	+	0.295688i
$225$	1.69566	−	0.978991i	0.113044	−	0.0652661i
$226$	7.29689	−	7.29689i	0.485382	−	0.485382i
$227$	−6.07133	+	22.6585i	−0.402968	+	1.50390i	0.404804	+	0.914404i	$0.367340\pi$
$227$	−6.07133	+	22.6585i	−0.402968	+	1.50390i	−0.807772	+	0.589495i	$0.799327\pi$
$228$	1.49007	−	5.56101i	0.0986822	−	0.368287i
$229$	16.2331	−	16.2331i	1.07271	−	1.07271i	0.0755720	−	0.997140i	$-0.475922\pi$
$229$	16.2331	−	16.2331i	1.07271	−	1.07271i	0.997140	−	0.0755720i	$-0.0240783\pi$
$230$	4.82148	−	2.78368i	0.317919	−	0.183551i
$231$	−8.37317	−	2.49521i	−0.550914	−	0.164173i
$232$	−13.0134	+	3.48693i	−0.854372	+	0.228928i
$233$			16.5274i			1.08274i	0.840783	+	0.541372i	$0.182095\pi$
$233$			16.5274i			1.08274i	−0.840783	+	0.541372i	$0.817905\pi$
$234$	−0.0198220	−	2.64236i	−0.00129581	−	0.172737i
$235$	−9.10131			−0.593704
$236$	13.0145	−	3.48723i	0.847172	−	0.226999i
$237$	13.6255	+	7.86670i	0.885073	+	0.510997i
$238$	1.22193	−	1.15576i	0.0792062	−	0.0749170i
$239$	18.8339	−	18.8339i	1.21826	−	1.21826i	0.250025	−	0.968239i	$-0.419561\pi$
$239$	18.8339	−	18.8339i	1.21826	−	1.21826i	0.968239	−	0.250025i	$-0.0804389\pi$
$240$	1.79558	+	0.481124i	0.115904	+	0.0310564i
$241$	1.11909	+	0.299860i	0.0720871	+	0.0193157i	0.294682	−	0.955595i	$-0.404786\pi$
$241$	1.11909	+	0.299860i	0.0720871	+	0.0193157i	−0.222595	+	0.974911i	$0.571453\pi$
$242$	0.0491574	+	0.0491574i	0.00315996	+	0.00315996i
$243$	0.866025	−	0.500000i	0.0555556	−	0.0320750i
$244$	4.03880	−	6.99541i	0.258558	−	0.447835i
$245$	−8.13955	−	9.09982i	−0.520017	−	0.581366i
$246$			1.44413i			0.0920741i
$247$	7.18680	+	12.2350i	0.457285	+	0.778495i
$248$		−	0.792308i		−	0.0503116i
$249$	1.39391	+	5.20214i	0.0883354	+	0.329672i
$250$	7.70243	+	4.44700i	0.487144	+	0.281253i
$251$	6.82617	+	11.8233i	0.430864	+	0.746278i	0.996948	−	0.0780693i	$-0.0248756\pi$
$251$	6.82617	+	11.8233i	0.430864	+	0.746278i	−0.566084	+	0.824348i	$0.691542\pi$
$252$	−3.29676	−	2.02771i	−0.207676	−	0.127734i
$253$	13.8930	+	3.72262i	0.873445	+	0.234039i
$254$	1.08629	−	4.05410i	0.0681600	−	0.254377i
$255$	1.06978	−	1.06978i	0.0669921	−	0.0669921i
$256$	5.87286	+	10.1721i	0.367054	+	0.635756i
$257$	−0.128138	+	0.221941i	−0.00799302	+	0.0138443i	−0.869994	−	0.493062i	$-0.835878\pi$
$257$	−0.128138	+	0.221941i	−0.00799302	+	0.0138443i	0.862001	+	0.506906i	$0.169211\pi$
$258$	2.18883	+	8.16884i	0.136271	+	0.508570i
$259$	9.51786	−	2.26851i	0.591411	−	0.140958i
$260$	−7.93225	+	4.65937i	−0.491938	+	0.288962i
$261$	5.30855			0.328591
$262$	15.4259	−	4.13336i	0.953015	−	0.255360i
$263$	6.21656	−	10.7674i	0.383329	−	0.663946i	−0.608206	−	0.793779i	$-0.708111\pi$
$263$	6.21656	−	10.7674i	0.383329	−	0.663946i	0.991536	+	0.129833i	$0.0414441\pi$
$264$	−4.19041	−	7.25801i	−0.257902	−	0.446700i
$265$	4.38858	+	4.38858i	0.269589	+	0.269589i
$266$	−7.62805	−	0.212285i	−0.467706	−	0.0130160i
$267$	−3.26801	+	12.1964i	−0.199999	+	0.746407i
$268$	4.07536	+	4.07536i	0.248942	+	0.248942i
$269$	23.9300	−	13.8160i	1.45904	−	0.842375i	0.460072	−	0.887882i	$-0.347824\pi$
$269$	23.9300	−	13.8160i	1.45904	−	0.842375i	0.998964	+	0.0455067i	$0.0144902\pi$
$270$	1.10699	+	0.639122i	0.0673694	+	0.0388957i
$271$	7.85980	+	29.3332i	0.477449	+	1.78186i	0.611891	+	0.790942i	$0.290409\pi$
$271$	7.85980	+	29.3332i	0.477449	+	1.78186i	−0.134442	+	0.990921i	$0.542924\pi$
$272$	−0.924502			−0.0560562
$273$	9.26261	−	2.28124i	0.560599	−	0.138067i
$274$	−0.0281351			−0.00169970
$275$	1.67348	+	6.24551i	0.100915	+	0.376619i
$276$	5.51795	+	3.18579i	0.332141	+	0.191762i
$277$	9.29180	−	5.36462i	0.558290	−	0.322329i	−0.194169	−	0.980968i	$-0.562201\pi$
$277$	9.29180	−	5.36462i	0.558290	−	0.322329i	0.752459	+	0.658639i	$0.228868\pi$
$278$	8.72253	+	8.72253i	0.523143	+	0.523143i
$279$	−0.0808014	+	0.301555i	−0.00483746	+	0.0180536i
$280$	0.325790	−	11.7067i	0.0194697	−	0.699607i
$281$	−17.6179	−	17.6179i	−1.05099	−	1.05099i	−0.998628	−	0.0523655i	$-0.983324\pi$
$281$	−17.6179	−	17.6179i	−1.05099	−	1.05099i	−0.0523655	−	0.998628i	$-0.516676\pi$
$282$	1.91217	+	3.31197i	0.113868	+	0.197225i
$283$	−4.91523	+	8.51342i	−0.292180	+	0.506070i	−0.974325	−	0.225147i	$-0.927714\pi$
$283$	−4.91523	+	8.51342i	−0.292180	+	0.506070i	0.682145	+	0.731217i	$0.261047\pi$
$284$	17.4796	−	4.68364i	1.03722	−	0.277923i
$285$	−6.86405			−0.406591
$286$	8.44547	+	2.19519i	0.499391	+	0.129804i
$287$	−5.07134	+	1.20872i	−0.299352	+	0.0713483i
$288$	−1.51587	−	5.65731i	−0.0893235	−	0.333360i
$289$	8.12379	−	14.0708i	0.477870	−	0.827696i
$290$	3.39281	+	5.87652i	0.199233	+	0.345081i
$291$	−2.06733	+	2.06733i	−0.121189	+	0.121189i
$292$	2.97339	−	11.0968i	0.174004	−	0.649393i
$293$	−24.9107	−	6.67480i	−1.45530	−	0.389946i	−0.557435	−	0.830221i	$-0.688214\pi$
$293$	−24.9107	−	6.67480i	−1.45530	−	0.389946i	−0.897863	+	0.440275i	$0.854881\pi$
$294$	−1.60132	+	4.87384i	−0.0933912	+	0.284248i
$295$	−8.03201	−	13.9118i	−0.467641	−	0.809979i
$296$	8.12812	+	4.69277i	0.472437	+	0.272762i
$297$	0.854696	+	3.18977i	0.0495945	+	0.185089i
$298$		−	10.5110i		−	0.608883i
$299$	−15.1379	+	4.17815i	−0.875447	+	0.241628i
$300$			2.86431i			0.165371i
$301$	−26.8545	+	14.5238i	−1.54787	+	0.837136i
$302$	−8.70733	+	15.0815i	−0.501050	+	0.867845i
$303$	8.23397	−	4.75389i	0.473029	−	0.273104i
$304$	2.96596	+	2.96596i	0.170109	+	0.170109i
$305$	−9.30243	−	2.49258i	−0.532656	−	0.142725i
$306$	−0.614051	−	0.164534i	−0.0351030	−	0.00940581i
$307$	−3.13433	+	3.13433i	−0.178886	+	0.178886i	−0.790870	−	0.611984i	$-0.790372\pi$
$307$	−3.13433	+	3.13433i	−0.178886	+	0.178886i	0.611984	+	0.790870i	$0.290372\pi$
$308$	9.28567	−	8.78284i	0.529100	−	0.500448i
$309$	6.96588	+	4.02175i	0.396275	+	0.228790i
$310$	−0.385461	+	0.103284i	−0.0218927	+	0.00586614i
$311$	22.3642			1.26816			0.634078	−	0.773269i	$-0.281380\pi$
$311$	22.3642			1.26816			0.634078	+	0.773269i	$0.281380\pi$
$312$	7.95863	+	4.51566i	0.450569	+	0.255649i
$313$			5.32563i			0.301022i	0.988608	+	0.150511i	$0.0480919\pi$
$313$			5.32563i			0.301022i	−0.988608	+	0.150511i	$0.951908\pi$
$314$	−10.9059	+	2.92222i	−0.615455	+	0.164911i
$315$	−1.31787	+	4.42237i	−0.0742535	+	0.249172i
$316$	−19.9326	+	11.5081i	−1.12130	+	0.647380i
$317$	9.55320	−	9.55320i	0.536561	−	0.536561i	−0.385956	−	0.922517i	$-0.626128\pi$
$317$	9.55320	−	9.55320i	0.536561	−	0.536561i	0.922517	+	0.385956i	$0.126128\pi$
$318$	0.674975	−	2.51904i	0.0378507	−	0.141261i
$319$	−4.53720	+	16.9331i	−0.254034	+	0.948069i
$320$	2.66485	−	2.66485i	0.148970	−	0.148970i
$321$	−9.51088	+	5.49111i	−0.530845	+	0.306484i
$322$	2.41191	−	8.09363i	0.134410	−	0.451040i
$323$	3.29740	−	0.883534i	0.183472	−	0.0491612i
$324$			1.46289i			0.0812715i
$325$	−5.02920	−	4.95431i	−0.278970	−	0.274816i
$326$	0.965192			0.0534571
$327$	2.92189	−	0.782918i	0.161581	−	0.0432955i
$328$	−4.33086	−	2.50042i	−0.239132	−	0.138063i
$329$	−10.0302	+	9.48706i	−0.552983	+	0.523038i
$330$	−2.98479	+	2.98479i	−0.164308	+	0.164308i
$331$	9.25799	+	2.48067i	0.508865	+	0.136350i	0.504111	−	0.863639i	$-0.331820\pi$
$331$	9.25799	+	2.48067i	0.508865	+	0.136350i	0.00475394	+	0.999989i	$0.498487\pi$
$332$	−7.61014	−	2.03913i	−0.417661	−	0.111912i
$333$	−2.61501	−	2.61501i	−0.143302	−	0.143302i
$334$	−15.4210	+	8.90333i	−0.843801	+	0.487169i
$335$	3.43575	−	5.95089i	0.187715	−	0.325132i
$336$	2.48036	−	1.34145i	0.135315	−	0.0731823i
$337$			27.7219i			1.51011i	0.655663	+	0.755053i	$0.272389\pi$
$337$			27.7219i			1.51011i	−0.655663	+	0.755053i	$0.727611\pi$
$338$	−9.16477	+	2.60367i	−0.498498	+	0.141621i
$339$		−	14.0806i		−	0.764751i
$340$	0.572817	+	2.13778i	0.0310653	+	0.115937i
$341$	−0.892831	−	0.515476i	−0.0483495	−	0.0279146i
$342$	1.44212	+	2.49783i	0.0779811	+	0.135067i
$343$	−18.4558	−	1.54403i	−0.996519	−	0.0833700i
$344$	−28.2878	−	7.57968i	−1.52517	−	0.408669i
$345$	1.96614	−	7.33772i	0.105853	−	0.395049i
$346$	−0.328484	+	0.328484i	−0.0176594	+	0.0176594i
$347$	−11.5943	−	20.0819i	−0.622413	−	1.07805i	−0.989035	−	0.147681i	$-0.952819\pi$
$347$	−11.5943	−	20.0819i	−0.622413	−	1.07805i	0.366622	−	0.930370i	$-0.380514\pi$
$348$	−3.88290	+	6.72538i	−0.208145	+	0.360518i
$349$	4.20372	+	15.6885i	0.225020	+	0.839787i	0.982396	+	0.186808i	$0.0598142\pi$
$349$	4.20372	+	15.6885i	0.225020	+	0.839787i	−0.757376	+	0.652979i	$0.773519\pi$
$350$	3.69312	−	0.880226i	0.197405	−	0.0470501i
$351$	−2.56856	−	2.53031i	−0.137100	−	0.135058i
$352$	19.3411			1.03088
$353$	12.1897	−	3.26621i	0.648790	−	0.173843i	0.0806085	−	0.996746i	$-0.474314\pi$
$353$	12.1897	−	3.26621i	0.648790	−	0.173843i	0.568182	+	0.822903i	$0.307647\pi$
$354$	−3.37502	+	5.84570i	−0.179380	+	0.310696i
$355$	−10.7877	−	18.6848i	−0.572550	−	0.991686i
$356$	−13.0612	−	13.0612i	−0.692243	−	0.692243i
$357$	0.0638431	−	2.29408i	0.00337893	−	0.121416i
$358$	2.77774	−	10.3667i	0.146808	−	0.547895i
$359$	−2.03793	−	2.03793i	−0.107558	−	0.107558i	0.651280	−	0.758838i	$-0.274232\pi$
$359$	−2.03793	−	2.03793i	−0.107558	−	0.107558i	−0.758838	+	0.651280i	$0.774232\pi$
$360$	−3.83339	+	2.21321i	−0.202037	+	0.116646i
$361$	3.04137	+	1.75593i	0.160072	+	0.0924176i
$362$	−1.21608	−	4.53848i	−0.0639159	−	0.238537i
$363$	0.0948573			0.00497872
$364$	−3.88498	+	13.4034i	−0.203628	+	0.702527i
$365$	−13.6970			−0.716934
$366$	1.04737	+	3.90885i	0.0547470	+	0.204319i
$367$	−24.3990	−	14.0868i	−1.27362	−	0.735325i	−0.297953	−	0.954581i	$-0.596304\pi$
$367$	−24.3990	−	14.0868i	−1.27362	−	0.735325i	−0.975667	+	0.219256i	$0.929637\pi$
$368$	−4.02019	+	2.32106i	−0.209567	+	0.120994i
$369$	1.39334	+	1.39334i	0.0725344	+	0.0725344i
$370$	1.22348	−	4.56610i	0.0636059	−	0.237380i
$371$	9.41108	+	0.261906i	0.488599	+	0.0135975i
$372$	−0.322938	−	0.322938i	−0.0167435	−	0.0167435i
$373$	12.9669	+	22.4593i	0.671400	+	1.16290i	0.977507	+	0.210902i	$0.0676402\pi$
$373$	12.9669	+	22.4593i	0.671400	+	1.16290i	−0.306107	+	0.951997i	$0.599026\pi$
$374$	1.04965	−	1.81805i	0.0542763	−	0.0940094i
$375$	11.7222	−	3.14095i	0.605330	−	0.162198i
$376$	−13.2432			−0.682968
$377$	−5.09241	−	18.4504i	−0.262272	−	0.950243i
$378$	1.88618	−	0.449558i	0.0970148	−	0.0231228i
$379$	−8.41204	−	31.3942i	−0.432097	−	1.61261i	−0.747918	−	0.663791i	$-0.768946\pi$
$379$	−8.41204	−	31.3942i	−0.432097	−	1.61261i	0.315821	−	0.948819i	$-0.397720\pi$
$380$	5.02066	−	8.69604i	0.257555	−	0.446098i
$381$	−2.86344	−	4.95962i	−0.146698	−	0.254089i
$382$	2.46370	−	2.46370i	0.126054	−	0.126054i
$383$	−1.42917	+	5.33373i	−0.0730271	+	0.272541i	−0.992779	−	0.119960i	$-0.961723\pi$
$383$	−1.42917	+	5.33373i	−0.0730271	+	0.272541i	0.919752	+	0.392501i	$0.128390\pi$
$384$	9.78499	+	2.62188i	0.499338	+	0.133797i
$385$	−12.9800	−	7.98348i	−0.661520	−	0.406876i
$386$	3.45471	+	5.98373i	0.175840	+	0.304564i
$387$	9.99342	+	5.76970i	0.507994	+	0.293291i
$388$	−1.10696	−	4.13124i	−0.0561975	−	0.209732i
$389$			24.3224i			1.23319i	0.787279	+	0.616597i	$0.211489\pi$
$389$			24.3224i			1.23319i	−0.787279	+	0.616597i	$0.788511\pi$
$390$	1.15941	−	4.46056i	0.0587090	−	0.225869i
$391$			3.77802i			0.191063i
$392$	−11.8438	−	13.2411i	−0.598202	−	0.668775i
$393$	10.8954	−	18.8714i	0.549601	−	0.951937i
$394$	7.13148	−	4.11736i	0.359279	−	0.207430i
$395$	19.4039	+	19.4039i	0.976315	+	0.976315i
$396$	−4.66627	−	1.25032i	−0.234489	−	0.0628312i
$397$	−10.3563	−	2.77495i	−0.519765	−	0.139271i	−0.0106073	−	0.999944i	$-0.503376\pi$
$397$	−10.3563	−	2.77495i	−0.519765	−	0.139271i	−0.509158	+	0.860673i	$0.670043\pi$
$398$	−6.50871	+	6.50871i	−0.326252	+	0.326252i
$399$	−7.56461	+	7.15497i	−0.378704	+	0.358197i
$400$	−1.80726	−	1.04342i	−0.0903628	−	0.0521710i
$401$	25.6010	−	6.85977i	1.27845	−	0.342561i	0.445190	−	0.895436i	$-0.353136\pi$
$401$	25.6010	−	6.85977i	1.27845	−	0.342561i	0.833264	+	0.552875i	$0.186469\pi$
$402$	−2.88738			−0.144009
$403$	1.12560	−	0.00844380i	0.0560699	−	0.000420616i
$404$			13.9088i			0.691988i
$405$	1.68471	−	0.451416i	0.0837138	−	0.0224310i
$406$	9.86468	+	2.93968i	0.489576	+	0.145894i
$407$	10.5763	−	6.10624i	0.524249	−	0.302675i
$408$	1.55662	−	1.55662i	0.0770644	−	0.0770644i
$409$	0.225314	−	0.840884i	0.0111411	−	0.0415790i	−0.960132	−	0.279549i	$-0.909815\pi$
$409$	0.225314	−	0.840884i	0.0111411	−	0.0415790i	0.971273	+	0.237970i	$0.0764819\pi$
$410$	−0.651902	+	2.43293i	−0.0321951	+	0.120154i
$411$	−0.0271456	+	0.0271456i	−0.00133900	+	0.00133900i
$412$	−10.1903	+	5.88337i	−0.502040	+	0.289853i
$413$	−23.3532	−	6.95929i	−1.14914	−	0.342444i
$414$	−3.08328	+	0.826162i	−0.151535	+	0.0406037i
$415$			9.39332i			0.461100i
$416$	−18.2084	+	10.6955i	−0.892738	+	0.524391i
$417$	16.8316			0.824246
$418$	−9.20009	+	2.46516i	−0.449991	+	0.120575i
$419$	−24.0763	−	13.9005i	−1.17621	−	0.679083i	−0.221072	−	0.975257i	$-0.570956\pi$
$419$	−24.0763	−	13.9005i	−1.17621	−	0.679083i	−0.955134	+	0.296174i	$0.904289\pi$
$420$	−4.63874	−	4.90432i	−0.226347	−	0.239306i
$421$	6.14872	−	6.14872i	0.299670	−	0.299670i	−0.541214	−	0.840885i	$-0.682035\pi$
$421$	6.14872	−	6.14872i	0.299670	−	0.299670i	0.840885	+	0.541214i	$0.182035\pi$
$422$	8.07605	+	2.16397i	0.393136	+	0.105340i
$423$	5.04042	+	1.35058i	0.245074	+	0.0656673i
$424$	6.38579	+	6.38579i	0.310122	+	0.310122i
$425$	−1.47085	+	0.849193i	−0.0713465	+	0.0411919i
$426$	−4.53294	+	7.85128i	−0.219622	+	0.380396i
$427$	−12.8501	+	6.94972i	−0.621859	+	0.336321i
$428$		−	16.0657i		−	0.776567i
$429$	10.2665	−	6.03048i	0.495669	−	0.291154i
$430$			14.7502i			0.711317i
$431$	−7.07164	−	26.3917i	−0.340629	−	1.27124i	−0.897636	−	0.440737i	$-0.854717\pi$
$431$	−7.07164	−	26.3917i	−0.340629	−	1.27124i	0.557007	−	0.830507i	$-0.311949\pi$
$432$	−0.923019	−	0.532906i	−0.0444088	−	0.0256394i
$433$	11.5716	+	20.0425i	0.556094	+	0.963182i	0.997818	+	0.0660314i	$0.0210338\pi$
$433$	11.5716	+	20.0425i	0.556094	+	0.963182i	−0.441724	+	0.897151i	$0.645633\pi$
$434$	−0.317141	+	0.515624i	−0.0152232	+	0.0247507i
$435$	8.94335	+	2.39636i	0.428801	+	0.114897i
$436$	−1.14532	+	4.27440i	−0.0548509	+	0.204706i
$437$	12.1205	−	12.1205i	0.579802	−	0.579802i
$438$	2.87771	+	4.98435i	0.137502	+	0.238161i
$439$	20.4076	−	35.3470i	0.974003	−	1.68702i	0.290814	−	0.956779i	$-0.406074\pi$
$439$	20.4076	−	35.3470i	0.974003	−	1.68702i	0.683188	−	0.730242i	$-0.260593\pi$
$440$	−3.78324	−	14.1192i	−0.180359	−	0.673109i
$441$	3.15743	+	6.24745i	0.150354	+	0.297498i
$442$	0.0171940	+	2.29203i	0.000817833	+	0.109021i
$443$	−6.05837			−0.287842			−0.143921	−	0.989589i	$-0.545971\pi$
$443$	−6.05837			−0.287842			−0.143921	+	0.989589i	$0.545971\pi$
$444$	5.22568	−	1.40022i	0.248000	−	0.0664513i
$445$	−11.0113	+	19.0721i	−0.521986	+	0.904106i
$446$	−2.66940	−	4.62353i	−0.126400	−	0.218930i
$447$	−10.1413	−	10.1413i	−0.479668	−	0.479668i
$448$	0.159035	−	5.71463i	0.00751371	−	0.269991i
$449$	−1.65796	+	6.18758i	−0.0782438	+	0.292010i	−0.993949	−	0.109840i	$-0.964966\pi$
$449$	−1.65796	+	6.18758i	−0.0782438	+	0.292010i	0.915705	+	0.401850i	$0.131633\pi$
$450$	−1.01467	−	1.01467i	−0.0478322	−	0.0478322i
$451$	−5.63532	+	3.25355i	−0.265357	+	0.153204i
$452$	17.8386	+	10.2991i	0.839058	+	0.484430i
$453$	6.15004	+	22.9523i	0.288954	+	1.07839i
$454$	17.1918			0.806850
$455$	16.6346	+	0.338075i	0.779841	+	0.0158492i
$456$	−9.98782			−0.467723
$457$	−7.61312	−	28.4126i	−0.356127	−	1.32908i	−0.879061	−	0.476710i	$-0.841829\pi$
$457$	−7.61312	−	28.4126i	−0.356127	−	1.32908i	0.522934	−	0.852373i	$-0.324837\pi$
$458$	−14.5707	−	8.41238i	−0.680843	−	0.393085i
$459$	−0.751205	+	0.433708i	−0.0350632	+	0.0202438i
$460$	7.85801	+	7.85801i	0.366382	+	0.366382i
$461$	−3.01129	+	11.2383i	−0.140250	+	0.523419i	0.859671	+	0.510848i	$0.170668\pi$
$461$	−3.01129	+	11.2383i	−0.140250	+	0.523419i	−0.999921	+	0.0125715i	$0.995998\pi$
$462$	−0.178129	+	6.40073i	−0.00828731	+	0.297789i
$463$	8.42591	+	8.42591i	0.391585	+	0.391585i	0.875252	−	0.483667i	$-0.160695\pi$
$463$	8.42591	+	8.42591i	0.391585	+	0.391585i	−0.483667	+	0.875252i	$0.660695\pi$
$464$	−2.82895	−	4.89989i	−0.131331	−	0.227472i
$465$	−0.272254	+	0.471557i	−0.0126255	+	0.0218679i
$466$	11.6999	−	3.13497i	0.541985	−	0.145225i
$467$	−21.2254			−0.982195			−0.491097	−	0.871105i	$-0.663404\pi$
$467$	−21.2254			−0.982195			−0.491097	+	0.871105i	$0.663404\pi$
$468$	5.08440	−	1.40332i	0.235027	−	0.0648687i
$469$	−2.41670	−	10.1396i	−0.111593	−	0.468204i
$470$	1.72637	+	6.44289i	0.0796314	+	0.297188i
$471$	−7.70290	+	13.3418i	−0.354931	+	0.614758i
$472$	−11.6873	−	20.2430i	−0.537952	−	0.931760i
$473$	−26.9454	+	26.9454i	−1.23895	+	1.23895i
$474$	2.98436	−	11.1378i	0.137076	−	0.511576i
$475$	7.44307	+	1.99436i	0.341511	+	0.0915077i
$476$	2.85967	+	1.75887i	0.131073	+	0.0806178i
$477$	−1.77922	−	3.08169i	−0.0814647	−	0.141101i
$478$	−16.9052	−	9.76019i	−0.773224	−	0.446421i
$479$	−5.66017	−	21.1241i	−0.258620	−	0.965183i	−0.966041	−	0.258390i	$-0.916808\pi$
$479$	−5.66017	−	21.1241i	−0.258620	−	0.965183i	0.707421	−	0.706793i	$-0.249859\pi$
$480$		−	10.2152i		−	0.466258i
$481$	−6.58018	+	11.5973i	−0.300030	+	0.528789i
$482$		−	0.849093i		−	0.0386751i
$483$	−5.48191	−	10.1361i	−0.249436	−	0.461208i
$484$	−0.0693828	+	0.120174i	−0.00315376	+	0.00546248i
$485$	−4.41608	+	2.54963i	−0.200524	+	0.115773i
$486$	−0.518224	−	0.518224i	−0.0235071	−	0.0235071i
$487$	28.6992	+	7.68994i	1.30049	+	0.348464i	0.841634	−	0.540048i	$-0.181594\pi$
$487$	28.6992	+	7.68994i	1.30049	+	0.348464i	0.458852	+	0.888512i	$0.348261\pi$
$488$	−13.5359	−	3.62693i	−0.612741	−	0.164183i
$489$	0.931249	−	0.931249i	0.0421125	−	0.0421125i
$490$	−4.89789	+	7.48813i	−0.221264	+	0.338279i
$491$	−23.9204	−	13.8105i	−1.07951	−	0.623258i	−0.148749	−	0.988875i	$-0.547525\pi$
$491$	−23.9204	−	13.8105i	−1.07951	−	0.623258i	−0.930765	+	0.365617i	$0.880858\pi$
$492$	−2.78437	+	0.746069i	−0.125529	+	0.0336354i
$493$	−4.60472			−0.207386
$494$	7.29805	−	7.40837i	0.328355	−	0.333318i
$495$			5.75966i			0.258877i
$496$	0.321401	−	0.0861191i	0.0144313	−	0.00386686i
$497$	−31.3654	−	9.34692i	−1.40693	−	0.419267i
$498$	3.41823	−	1.97352i	0.153175	−	0.0884354i
$499$	5.32994	−	5.32994i	0.238601	−	0.238601i	−0.577670	−	0.816271i	$-0.696038\pi$
$499$	5.32994	−	5.32994i	0.238601	−	0.238601i	0.816271	+	0.577670i	$0.196038\pi$
$500$	−4.59485	+	17.1482i	−0.205488	+	0.766891i
$501$	−6.28848	+	23.4689i	−0.280949	+	1.04851i
$502$	7.07498	−	7.07498i	0.315772	−	0.315772i
$503$	16.3880	−	9.46160i	0.730703	−	0.421872i	−0.0879761	−	0.996123i	$-0.528040\pi$
$503$	16.3880	−	9.46160i	0.730703	−	0.421872i	0.818679	+	0.574251i	$0.194707\pi$
$504$	−1.91762	+	6.43495i	−0.0854176	+	0.286636i
$505$	16.0178	−	4.29196i	0.712784	−	0.190990i
$506$		−	10.5411i		−	0.468608i
$507$	−6.33037	+	11.3546i	−0.281141	+	0.504275i
$508$	8.37777			0.371703
$509$	19.9100	−	5.33488i	0.882497	−	0.236464i	0.211013	−	0.977483i	$-0.432324\pi$
$509$	19.9100	−	5.33488i	0.882497	−	0.236464i	0.671484	+	0.741019i	$0.265657\pi$
$510$	−0.960223	−	0.554385i	−0.0425194	−	0.0245486i
$511$	−15.0949	+	14.2775i	−0.667761	+	0.631600i
$512$	−8.23930	+	8.23930i	−0.364129	+	0.364129i
$513$	3.80140	+	1.01858i	0.167836	+	0.0449715i
$514$	0.181420	+	0.0486112i	0.00800208	+	0.00214415i
$515$	9.91999	+	9.91999i	0.437127	+	0.437127i
$516$	−14.6192	+	8.44042i	−0.643576	+	0.371569i
$517$	−8.61606	+	14.9235i	−0.378934	+	0.656333i
$518$	−3.41128	−	6.30747i	−0.149883	−	0.277134i
$519$			0.633864i			0.0278236i
$520$	11.3695	+	11.2002i	0.498587	+	0.491162i
$521$			8.90519i			0.390144i	0.980789	+	0.195072i	$0.0624940\pi$
$521$			8.90519i			0.390144i	−0.980789	+	0.195072i	$0.937506\pi$
$522$	−1.00694	−	3.75796i	−0.0440727	−	0.164482i
$523$	36.0214	+	20.7970i	1.57511	+	0.909387i	0.995528	+	0.0944702i	$0.0301157\pi$
$523$	36.0214	+	20.7970i	1.57511	+	0.909387i	0.579577	+	0.814917i	$0.303218\pi$
$524$	15.9388	+	27.6067i	0.696288	+	1.20601i
$525$	2.71397	−	4.41251i	0.118447	−	0.192578i
$526$	−8.80150	−	2.35835i	−0.383764	−	0.102829i
$527$	0.0700885	−	0.261574i	0.00305310	−	0.0113943i
$528$	2.48875	−	2.48875i	0.108309	−	0.108309i
$529$	−2.01489	−	3.48989i	−0.0876038	−	0.151734i
$530$	2.27427	−	3.93915i	0.0987881	−	0.171106i
$531$	2.38380	+	8.89645i	0.103448	+	0.386073i
$532$	−3.53153	−	14.8170i	−0.153111	−	0.642400i
$533$	3.50608	−	6.17930i	0.151865	−	0.267655i
$534$	9.25381			0.400452
$535$	−18.5018	+	4.95755i	−0.799904	+	0.214334i
$536$	4.99933	−	8.65909i	0.215938	−	0.374016i
$537$	−7.32204	−	12.6821i	−0.315969	−	0.547275i
$538$	−14.3196	−	14.3196i	−0.617360	−	0.617360i
$539$	−22.6266	+	4.73180i	−0.974596	+	0.203813i
$540$	−0.660371	+	2.46454i	−0.0284178	+	0.106057i
$541$	22.8055	+	22.8055i	0.980484	+	0.980484i	0.999813	−	0.0193293i	$-0.00615308\pi$
$541$	22.8055	+	22.8055i	0.980484	+	0.980484i	−0.0193293	+	0.999813i	$0.506153\pi$
$542$	19.2743	−	11.1280i	0.827903	−	0.477990i
$543$	−5.55219	−	3.20556i	−0.238267	−	0.137564i
$544$	1.31489	+	4.90724i	0.0563755	+	0.210396i
$545$	5.27596			0.225997
$546$	−3.37187	−	6.12436i	−0.144303	−	0.262099i
$547$	15.4775			0.661769			0.330884	−	0.943671i	$-0.392653\pi$
$547$	15.4775			0.661769			0.330884	+	0.943671i	$0.392653\pi$
$548$	−0.0145352	−	0.0542462i	−0.000620914	−	0.00231728i
$549$	4.78192	+	2.76084i	0.204087	+	0.117830i
$550$	4.10382	−	2.36934i	0.174987	−	0.101029i
$551$	14.7727	+	14.7727i	0.629339	+	0.629339i
$552$	2.86091	−	10.6770i	0.121768	−	0.454445i
$553$	41.6105	+	1.15800i	1.76946	+	0.0492432i
$554$	−5.56016	−	5.56016i	−0.236228	−	0.236228i
$555$	−3.22507	−	5.58598i	−0.136897	−	0.237112i
$556$	−12.3113	+	21.3239i	−0.522117	+	0.904333i
$557$	−16.8975	+	4.52767i	−0.715969	+	0.191843i	−0.598373	−	0.801218i	$-0.704186\pi$
$557$	−16.8975	+	4.52767i	−0.715969	+	0.191843i	−0.117597	+	0.993061i	$0.537519\pi$
$558$	0.228800			0.00968587
$559$	10.4666	−	40.2679i	0.442692	−	1.70315i
$560$	4.78423	−	1.14029i	0.202171	−	0.0481859i
$561$	−0.741378	−	2.76686i	−0.0313010	−	0.116817i
$562$	−9.13001	+	15.8136i	−0.385126	+	0.667058i
$563$	13.0176	+	22.5472i	0.548628	+	0.950251i	0.998369	+	0.0570920i	$0.0181828\pi$
$563$	13.0176	+	22.5472i	0.548628	+	0.950251i	−0.449741	+	0.893159i	$0.648484\pi$
$564$	−5.39783	+	5.39783i	−0.227289	+	0.227289i
$565$	6.35619	−	23.7216i	0.267407	−	0.997977i
$566$	6.95905	+	1.86467i	0.292511	+	0.0783780i
$567$	1.38610	−	2.25360i	0.0582109	−	0.0946423i
$568$	−15.6971	−	27.1881i	−0.658634	−	1.14079i
$569$	−5.70128	−	3.29163i	−0.239010	−	0.137992i	0.375712	−	0.926737i	$-0.377398\pi$
$569$	−5.70128	−	3.29163i	−0.239010	−	0.137992i	−0.614722	+	0.788744i	$0.710732\pi$
$570$	1.30200	+	4.85911i	0.0545346	+	0.203526i
$571$			9.46828i			0.396235i	0.980178	+	0.198118i	$0.0634828\pi$
$571$			9.46828i			0.396235i	−0.980178	+	0.198118i	$0.936517\pi$
$572$	0.130660	+	17.4175i	0.00546315	+	0.728262i
$573$		−	4.75411i		−	0.198606i
$574$	1.81761	+	3.36077i	0.0758656	+	0.140276i
$575$	−4.26398	+	7.38543i	−0.177820	+	0.307994i
$576$	−1.87128	+	1.08038i	−0.0779698	+	0.0450159i
$577$	14.5583	+	14.5583i	0.606069	+	0.606069i	0.941916	−	0.335847i	$-0.109023\pi$
$577$	14.5583	+	14.5583i	0.606069	+	0.606069i	−0.335847	+	0.941916i	$0.609023\pi$
$578$	−11.5018	−	3.08190i	−0.478412	−	0.128190i
$579$	9.10651	+	2.44008i	0.378454	+	0.101406i
$580$	−9.57750	+	9.57750i	−0.397684	+	0.397684i
$581$	9.79144	+	10.3520i	0.406217	+	0.429474i
$582$	1.85562	+	1.07134i	0.0769180	+	0.0444086i
$583$	11.3506	−	3.04138i	0.470093	−	0.125961i
$584$	−19.9304			−0.824725
$585$	−3.18505	−	5.42233i	−0.131686	−	0.224186i
$586$			18.9006i			0.780775i
$587$	28.3013	−	7.58332i	1.16812	−	0.312997i	0.377916	−	0.925840i	$-0.376641\pi$
$587$	28.3013	−	7.58332i	1.16812	−	0.312997i	0.790205	+	0.612843i	$0.209974\pi$
$588$	−10.2244	−	0.569518i	−0.421645	−	0.0234865i
$589$	−1.06403	+	0.614317i	−0.0438425	+	0.0253125i
$590$	−8.32476	+	8.32476i	−0.342725	+	0.342725i
$591$	2.90812	−	10.8532i	0.119624	−	0.446443i
$592$	−1.02015	+	3.80726i	−0.0419280	+	0.156477i
$593$	21.9121	−	21.9121i	0.899821	−	0.899821i	−0.0955990	−	0.995420i	$-0.530477\pi$
$593$	21.9121	−	21.9121i	0.899821	−	0.899821i	0.995420	+	0.0955990i	$0.0304766\pi$
$594$	2.09594	−	1.21009i	0.0859975	−	0.0496507i
$595$	1.14314	−	3.83604i	0.0468643	−	0.157262i
$596$	20.2658	−	5.43021i	0.830120	−	0.222430i
$597$			12.5596i			0.514031i
$598$	5.82915	+	9.92371i	0.238372	+	0.405811i
$599$	15.8653			0.648240			0.324120	−	0.946016i	$-0.394932\pi$
$599$	15.8653			0.648240			0.324120	+	0.946016i	$0.394932\pi$
$600$	4.79981	−	1.28610i	0.195951	−	0.0525050i
$601$	−0.177063	−	0.102227i	−0.00722256	−	0.00416995i	0.496384	−	0.868103i	$-0.334661\pi$
$601$	−0.177063	−	0.102227i	−0.00722256	−	0.00416995i	−0.503607	+	0.863933i	$0.667994\pi$
$602$	15.3753	+	16.2556i	0.626652	+	0.662530i
$603$	−2.78584	+	2.78584i	−0.113448	+	0.113448i
$604$	−33.5766	−	8.99681i	−1.36621	−	0.366075i
$605$	0.159807	+	0.0428201i	0.00649707	+	0.00174089i
$606$	−4.92716	−	4.92716i	−0.200152	−	0.200152i
$607$	24.0567	−	13.8891i	0.976430	−	0.563742i	0.0752394	−	0.997165i	$-0.476028\pi$
$607$	24.0567	−	13.8891i	0.976430	−	0.563742i	0.901190	+	0.433423i	$0.142695\pi$
$608$	11.5249	−	19.9616i	0.467394	−	0.809551i
$609$	12.3541	−	6.68146i	0.500612	−	0.270746i
$610$			7.05806i			0.285773i
$611$	−0.141136	−	18.8141i	−0.00570976	−	0.761135i
$612$		−	1.26893i		−	0.0512935i
$613$	1.20950	+	4.51392i	0.0488513	+	0.182315i	0.986040	−	0.166506i	$-0.0532486\pi$
$613$	1.20950	+	4.51392i	0.0488513	+	0.182315i	−0.937189	+	0.348822i	$0.886582\pi$
$614$	2.81335	+	1.62429i	0.113537	+	0.0655508i
$615$	1.71839	+	2.97635i	0.0692924	+	0.120018i
$616$	−18.8870	−	11.6167i	−0.760980	−	0.468050i
$617$	0.205999	+	0.0551971i	0.00829319	+	0.00222215i	0.262963	−	0.964806i	$-0.415300\pi$
$617$	0.205999	+	0.0551971i	0.00829319	+	0.00222215i	−0.254670	+	0.967028i	$0.581967\pi$
$618$	1.52572	−	5.69406i	0.0613734	−	0.229049i
$619$	−10.1547	+	10.1547i	−0.408152	+	0.408152i	−0.881094	−	0.472941i	$-0.843192\pi$
$619$	−10.1547	+	10.1547i	−0.408152	+	0.408152i	0.472941	+	0.881094i	$0.343192\pi$
$620$	−0.398276	−	0.689835i	−0.0159952	−	0.0277044i
$621$	−2.17774	+	3.77196i	−0.0873897	+	0.151363i
$622$	−4.24211	−	15.8318i	−0.170093	−	0.634797i
$623$	7.74533	+	32.4967i	0.310310	+	1.30195i
$624$	−0.966727	+	3.71925i	−0.0387000	+	0.148889i
$625$	11.3764			0.455056
$626$	3.77005	−	1.01018i	0.150682	−	0.0403750i
$627$	−6.49808	+	11.2550i	−0.259508	+	0.449482i
$628$	−11.2685	−	19.5176i	−0.449661	−	0.778836i
$629$	2.26830	+	2.26830i	0.0904431	+	0.0904431i
$630$	3.38061	+	0.0940806i	0.134687	+	0.00374826i
$631$	−2.58932	+	9.66347i	−0.103079	+	0.384697i	−0.998120	−	0.0612871i	$-0.980479\pi$
$631$	−2.58932	+	9.66347i	−0.103079	+	0.384697i	0.895041	+	0.445984i	$0.147146\pi$
$632$	28.2344	+	28.2344i	1.12310	+	1.12310i
$633$	9.87991	−	5.70417i	0.392691	−	0.226720i
$634$	−8.57487	−	4.95070i	−0.340551	−	0.196617i
$635$	−2.58520	−	9.64811i	−0.102591	−	0.382873i
$636$	5.20558			0.206415
$637$	18.6847	−	16.9670i	0.740317	−	0.672258i
$638$	12.8477			0.508644
$639$	3.20164	+	11.9487i	0.126655	+	0.472683i
$640$	15.3013	+	8.83420i	0.604837	+	0.349203i
$641$	−19.6180	+	11.3265i	−0.774866	+	0.447369i	−0.834608	−	0.550845i	$-0.814306\pi$
$641$	−19.6180	+	11.3265i	−0.774866	+	0.447369i	0.0597418	+	0.998214i	$0.480972\pi$
$642$	5.69125	+	5.69125i	0.224616	+	0.224616i
$643$	−4.29092	+	16.0139i	−0.169217	+	0.631527i	0.828247	+	0.560363i	$0.189338\pi$
$643$	−4.29092	+	16.0139i	−0.169217	+	0.631527i	−0.997465	+	0.0711645i	$0.977328\pi$
$644$	16.8511	+	0.468957i	0.664026	+	0.0184795i
$645$	14.2315	+	14.2315i	0.560363	+	0.560363i
$646$	−1.25092	−	2.16666i	−0.0492169	−	0.0852461i
$647$	12.5163	−	21.6789i	0.492068	−	0.852287i	−0.507890	−	0.861422i	$-0.669574\pi$
$647$	12.5163	−	21.6789i	0.492068	−	0.852287i	0.999958	+	0.00913503i	$0.00290781\pi$
$648$	2.45140	−	0.656852i	0.0963003	−	0.0258036i
$649$	−30.4151			−1.19390
$650$	−2.55324	+	4.49996i	−0.100146	+	0.176503i
$651$	0.191503	+	0.803478i	0.00750559	+	0.0314908i
$652$	0.498641	+	1.86095i	0.0195283	+	0.0728805i
$653$	−9.18955	+	15.9168i	−0.359615	+	0.622871i	−0.987896	−	0.155115i	$-0.950425\pi$
$653$	−9.18955	+	15.9168i	−0.359615	+	0.622871i	0.628282	+	0.777986i	$0.283759\pi$
$654$	−1.10847	−	1.91992i	−0.0433445	−	0.0750749i
$655$	26.8745	−	26.8745i	1.05007	−	1.05007i
$656$	0.543561	−	2.02860i	0.0212225	−	0.0792034i
$657$	7.58557	+	2.03255i	0.295941	+	0.0792972i
$658$	8.61853	+	5.30093i	0.335985	+	0.206652i
$659$	−2.47281	−	4.28303i	−0.0963269	−	0.166843i	0.813835	−	0.581096i	$-0.197376\pi$
$659$	−2.47281	−	4.28303i	−0.0963269	−	0.166843i	−0.910162	+	0.414253i	$0.864043\pi$
$660$	−7.29689	−	4.21286i	−0.284031	−	0.163985i
$661$	−0.736202	−	2.74754i	−0.0286349	−	0.106867i	0.950129	−	0.311856i	$-0.100951\pi$
$661$	−0.736202	−	2.74754i	−0.0286349	−	0.106867i	−0.978764	+	0.204989i	$0.934284\pi$
$662$		−	7.02435i		−	0.273009i
$663$	2.22801	+	2.19484i	0.0865289	+	0.0852404i
$664$			13.6681i			0.530426i
$665$	−15.9740	+	8.63925i	−0.619446	+	0.335016i
$666$	−1.35516	+	2.34721i	−0.0525115	+	0.0909525i
$667$	−20.0236	+	11.5606i	−0.775318	+	0.447630i
$668$	−25.1331	−	25.1331i	−0.972427	−	0.972427i
$669$	−7.03645	−	1.88541i	−0.272045	−	0.0728942i
$670$	−4.86439	−	1.30341i	−0.187928	−	0.0503551i
$671$	−12.8935	+	12.8935i	−0.497750	+	0.497750i
$672$	−10.6482	−	11.2578i	−0.410761	−	0.434278i
$673$	−23.4111	−	13.5164i	−0.902431	−	0.521019i	−0.0244432	−	0.999701i	$-0.507781\pi$
$673$	−23.4111	−	13.5164i	−0.902431	−	0.521019i	−0.877988	+	0.478682i	$0.841115\pi$
$674$	19.6245	−	5.25838i	0.755909	−	0.202545i
$675$	−1.95798			−0.0753628
$676$	−9.75478	−	16.3252i	−0.375184	−	0.627891i
$677$			1.97396i			0.0758653i	0.999280	+	0.0379327i	$0.0120772\pi$
$677$			1.97396i			0.0758653i	−0.999280	+	0.0379327i	$0.987923\pi$
$678$	−9.96774	+	2.67085i	−0.382809	+	0.102573i
$679$	−2.20911	+	7.41310i	−0.0847779	+	0.284489i
$680$	3.32514	−	1.91977i	0.127513	−	0.0736199i
$681$	16.5872	−	16.5872i	0.635622	−	0.635622i
$682$	−0.195554	+	0.729819i	−0.00748817	+	0.0279462i
$683$	−0.854547	+	3.18921i	−0.0326983	+	0.122032i	−0.980346	−	0.197286i	$-0.936787\pi$
$683$	−0.854547	+	3.18921i	−0.0326983	+	0.122032i	0.947648	+	0.319318i	$0.103454\pi$
$684$	−4.07094	+	4.07094i	−0.155656	+	0.155656i
$685$	−0.0579865	+	0.0334785i	−0.00221555	+	0.00127915i
$686$	2.40772	+	13.3579i	0.0919272	+	0.510006i
$687$	−22.1748	+	5.94172i	−0.846022	+	0.226691i
$688$		−	12.2988i		−	0.468889i
$689$	−9.00395	+	9.14006i	−0.343023	+	0.348208i
$690$	−5.56737			−0.211946
$691$	43.3678	−	11.6204i	1.64979	−	0.442060i	0.690236	−	0.723585i	$-0.257507\pi$
$691$	43.3678	−	11.6204i	1.64979	−	0.442060i	0.959554	+	0.281525i	$0.0908402\pi$
$692$	−0.803041	−	0.463636i	−0.0305270	−	0.0176248i
$693$	6.00377	+	6.34750i	0.228064	+	0.241122i
$694$	−12.0169	+	12.0169i	−0.456154	+	0.456154i
$695$	28.3563	+	7.59804i	1.07562	+	0.288210i
$696$	13.0134	+	3.48693i	0.493272	+	0.132172i
$697$	−1.20861	−	1.20861i	−0.0457792	−	0.0457792i
$698$	10.3086	−	5.95170i	0.390188	−	0.225275i
$699$	8.26369	−	14.3131i	0.312561	−	0.541372i
$700$	3.60508	+	6.66582i	0.136259	+	0.251944i
$701$		−	23.5928i		−	0.891086i	−0.895260	−	0.445543i	$-0.853011\pi$
$701$		−	23.5928i		−	0.891086i	0.895260	−	0.445543i	$-0.146989\pi$
$702$	−1.30401	+	2.29826i	−0.0492169	+	0.0867424i
$703$		−	14.5542i		−	0.548921i
$704$	−1.84680	−	6.89234i	−0.0696038	−	0.259765i
$705$	7.88197	+	4.55066i	0.296852	+	0.171388i
$706$	−4.62435	−	8.00961i	−0.174040	−	0.301446i
$707$	13.1788	−	21.4267i	0.495638	−	0.805835i
$708$	−13.0145	−	3.48723i	−0.489115	−	0.131058i
$709$	9.42663	−	35.1807i	0.354025	−	1.32124i	−0.527683	−	0.849441i	$-0.676939\pi$
$709$	9.42663	−	35.1807i	0.354025	−	1.32124i	0.881708	−	0.471796i	$-0.156394\pi$
$710$	−11.1809	+	11.1809i	−0.419611	+	0.419611i
$711$	−7.86670	−	13.6255i	−0.295024	−	0.510997i
$712$	−16.0224	+	27.7517i	−0.600467	+	1.04004i
$713$	−0.351929	−	1.31342i	−0.0131799	−	0.0491879i
$714$	−1.63611	+	0.389954i	−0.0612298	+	0.0145937i
$715$	20.0182	−	5.52515i	0.748640	−	0.206629i
$716$	21.4226			0.800602
$717$	−25.7276	+	6.89369i	−0.960815	+	0.257450i
$718$	−1.05610	+	1.82922i	−0.0394134	+	0.0682660i
$719$	−26.2044	−	45.3874i	−0.977260	−	1.69266i	−0.672266	−	0.740309i	$-0.734679\pi$
$719$	−26.2044	−	45.3874i	−0.977260	−	1.69266i	−0.304994	−	0.952354i	$-0.598654\pi$
$720$	−1.31446	−	1.31446i	−0.0489869	−	0.0489869i
$721$	21.2729	+	0.592014i	0.792244	+	0.0220477i
$722$	0.666143	−	2.48608i	0.0247913	−	0.0925223i
$723$	−0.819232	−	0.819232i	−0.0304676	−	0.0304676i
$724$	8.12223	−	4.68937i	0.301860	−	0.174279i
$725$	−9.00151	−	5.19702i	−0.334308	−	0.193013i
$726$	−0.0179929	−	0.0671502i	−0.000667777	−	0.00249218i
$727$	−27.7907			−1.03070			−0.515350	−	0.856980i	$-0.672338\pi$
$727$	−27.7907			−1.03070			−0.515350	+	0.856980i	$0.672338\pi$
$728$	24.2048	+	0.491930i	0.897091	+	0.0182321i
$729$	−1.00000			−0.0370370
$730$	2.59809	+	9.69621i	0.0961597	+	0.358873i
$731$	−8.66846	−	5.00474i	−0.320615	−	0.185107i
$732$	−6.99541	+	4.03880i	−0.258558	+	0.149278i
$733$	5.10977	+	5.10977i	0.188734	+	0.188734i	0.795149	−	0.606415i	$-0.207393\pi$
$733$	5.10977	+	5.10977i	0.188734	+	0.188734i	−0.606415	+	0.795149i	$0.707393\pi$
$734$	−5.34406	+	19.9443i	−0.197253	+	0.736158i
$735$	2.49915	+	11.9504i	0.0921824	+	0.440799i
$736$	18.0379	+	18.0379i	0.664887	+	0.664887i
$737$	−6.50513	−	11.2672i	−0.239620	−	0.415034i
$738$	0.722063	−	1.25065i	0.0265795	−	0.0460370i
$739$	0.0573095	−	0.0153560i	0.00210816	−	0.000564880i	−0.257765	−	0.966208i	$-0.582986\pi$
$739$	0.0573095	−	0.0153560i	0.00210816	−	0.000564880i	0.259873	+	0.965643i	$0.416319\pi$
$740$	9.43582			0.346868
$741$	−0.106442	−	14.1892i	−0.00391026	−	0.521255i
$742$	−1.59972	−	6.71186i	−0.0587276	−	0.246400i
$743$	9.83505	+	36.7049i	0.360813	+	1.34657i	0.873009	+	0.487704i	$0.162165\pi$
$743$	9.83505	+	36.7049i	0.360813	+	1.34657i	−0.512196	+	0.858868i	$0.671168\pi$
$744$	−0.396154	+	0.686159i	−0.0145237	+	0.0251558i
$745$	−12.5072	−	21.6631i	−0.458228	−	0.793675i
$746$	13.4395	−	13.4395i	0.492056	−	0.492056i
$747$	1.39391	−	5.20214i	0.0510004	−	0.190336i
$748$	4.04760	+	1.08455i	0.147995	+	0.0396551i
$749$	−15.2225	+	24.7495i	−0.556218	+	0.904328i
$750$	−4.44700	−	7.70243i	−0.162381	−	0.281253i
$751$	−9.18336	−	5.30202i	−0.335106	−	0.193473i	0.323000	−	0.946399i	$-0.395309\pi$
$751$	−9.18336	−	5.30202i	−0.335106	−	0.193473i	−0.658106	+	0.752926i	$0.728642\pi$
$752$	−1.43946	−	5.37214i	−0.0524917	−	0.195902i
$753$		−	13.6523i		−	0.497519i
$754$	−12.0952	+	7.10468i	−0.440482	+	0.258737i
$755$			41.4441i			1.50831i
$756$	1.84122	+	3.40443i	0.0669646	+	0.123818i
$757$	−7.44655	+	12.8978i	−0.270649	+	0.468778i	−0.969028	−	0.246950i	$-0.920572\pi$
$757$	−7.44655	+	12.8978i	−0.270649	+	0.468778i	0.698379	+	0.715728i	$0.253905\pi$
$758$	−20.6285	+	11.9099i	−0.749263	+	0.432587i
$759$	−10.1704	−	10.1704i	−0.369161	−	0.369161i
$760$	−16.8266	−	4.50866i	−0.610364	−	0.163546i
$761$	−44.9797	−	12.0523i	−1.63051	−	0.436895i	−0.676448	−	0.736490i	$-0.736482\pi$
$761$	−44.9797	−	12.0523i	−1.63051	−	0.436895i	−0.954066	+	0.299595i	$0.903148\pi$
$762$	−2.96781	+	2.96781i	−0.107512	+	0.107512i
$763$	5.81443	−	5.49957i	0.210497	−	0.199098i
$764$	6.02297	+	3.47737i	0.217904	+	0.125807i
$765$	−1.46134	+	0.391566i	−0.0528350	+	0.0141571i
$766$	4.04688			0.146220
$767$	28.6337	−	16.8193i	1.03390	−	0.607311i
$768$		−	11.7457i		−	0.423837i
$769$	−6.79488	+	1.82068i	−0.245030	+	0.0656555i	−0.379244	−	0.925297i	$-0.623816\pi$
$769$	−6.79488	+	1.82068i	−0.245030	+	0.0656555i	0.134214	+	0.990952i	$0.457149\pi$
$770$	−3.18949	+	10.7030i	−0.114941	+	0.385708i
$771$	0.221941	−	0.128138i	0.00799302	−	0.00461477i
$772$	−9.75223	+	9.75223i	−0.350990	+	0.350990i
$773$	2.05344	−	7.66353i	0.0738570	−	0.275638i	−0.919115	−	0.393990i	$-0.871094\pi$
$773$	2.05344	−	7.66353i	0.0738570	−	0.275638i	0.992972	+	0.118352i	$0.0377611\pi$
$774$	2.18883	−	8.16884i	0.0786760	−	0.293623i
$775$	0.432232	−	0.432232i	0.0155262	−	0.0155262i
$776$	−6.42581	+	3.70994i	−0.230673	+	0.133179i
$777$	−9.37697	−	2.79434i	−0.336397	−	0.100247i
$778$	17.2180	−	4.61355i	0.617295	−	0.165404i
$779$			7.75482i			0.277845i
$780$	9.19922	−	0.0690092i	0.329385	−	0.00247092i
$781$	−40.8500			−1.46173
$782$	2.67449	−	0.716627i	0.0956395	−	0.0256265i
$783$	−4.59734	−	2.65427i	−0.164295	−	0.0948560i
$784$	4.08391	−	6.24367i	0.145854	−	0.222988i
$785$	−18.9999	+	18.9999i	−0.678134	+	0.678134i
$786$	−15.4259	−	4.13336i	−0.550224	−	0.147432i
$787$	1.90514	+	0.510480i	0.0679109	+	0.0181967i	0.292615	−	0.956230i	$-0.405475\pi$
$787$	1.90514	+	0.510480i	0.0679109	+	0.0181967i	−0.224704	+	0.974427i	$0.572141\pi$
$788$	11.6228	+	11.6228i	0.414046	+	0.414046i
$789$	−10.7674	+	6.21656i	−0.383329	+	0.221315i
$790$	10.0556	−	17.4167i	0.357761	−	0.619660i
$791$	−17.7221	−	32.7683i	−0.630126	−	1.16511i
$792$			8.38083i			0.297800i
$793$	5.00836	−	19.2685i	0.177852	−	0.684243i
$794$			7.85763i			0.278857i
$795$	−1.60633	−	5.99492i	−0.0569708	−	0.212618i
$796$	−15.9118	−	9.18666i	−0.563977	−	0.325612i
$797$	25.3033	+	43.8266i	0.896290	+	1.55242i	0.832200	+	0.554475i	$0.187081\pi$
$797$	25.3033	+	43.8266i	0.896290	+	1.55242i	0.0640896	+	0.997944i	$0.479586\pi$
$798$	6.49994	+	3.99787i	0.230095	+	0.141523i
$799$	−4.37215	−	1.17151i	−0.154675	−	0.0414451i
$800$	−2.96805	+	11.0769i	−0.104936	+	0.391628i
$801$	8.92838	−	8.92838i	0.315469	−	0.315469i
$802$	−9.71217	−	16.8220i	−0.342949	−	0.594005i
$803$	−12.9667	+	22.4590i	−0.457586	+	0.792562i
$804$	−1.49169	−	5.56705i	−0.0526077	−	0.196335i
$805$	−4.65982	−	19.5510i	−0.164237	−	0.689081i
$806$	−0.219484	−	0.795216i	−0.00773100	−	0.0280103i
$807$	−27.6320			−0.972691
$808$	23.3074	−	6.24520i	0.819951	−	0.219705i
$809$	−17.4409	+	30.2085i	−0.613189	+	1.06207i	0.377510	+	0.926005i	$0.376780\pi$
$809$	−17.4409	+	30.2085i	−0.613189	+	1.06207i	−0.990699	+	0.136069i	$0.956553\pi$
$810$	−0.639122	−	1.10699i	−0.0224565	−	0.0388957i
$811$	−30.6128	−	30.6128i	−1.07496	−	1.07496i	−0.996953	−	0.0780073i	$-0.975144\pi$
$811$	−30.6128	−	30.6128i	−1.07496	−	1.07496i	−0.0780073	−	0.996953i	$-0.524856\pi$
$812$	−0.571574	+	20.5384i	−0.0200583	+	0.720758i
$813$	7.85980	−	29.3332i	0.275655	−	1.02876i
$814$	−6.32881	−	6.32881i	−0.221825	−	0.221825i
$815$	1.98926	−	1.14850i	0.0696809	−	0.0402303i
$816$	0.800642	+	0.462251i	0.0280281	+	0.0161820i
$817$	11.7538	+	43.8659i	0.411214	+	1.53467i
$818$	−0.638006			−0.0223074
$819$	−9.16227	−	2.65570i	−0.320156	−	0.0927976i
$820$	−5.02763			−0.175573
$821$	−9.42147	−	35.1614i	−0.328812	−	1.22714i	−0.910424	−	0.413676i	$-0.864245\pi$
$821$	−9.42147	−	35.1614i	−0.328812	−	1.22714i	0.581613	−	0.813466i	$-0.302422\pi$
$822$	0.0243657	+	0.0140675i	0.000849851	+	0.000490662i
$823$	23.5446	−	13.5935i	0.820713	−	0.473839i	−0.0299490	−	0.999551i	$-0.509534\pi$
$823$	23.5446	−	13.5935i	0.820713	−	0.473839i	0.850662	+	0.525712i	$0.176201\pi$
$824$	14.4345	+	14.4345i	0.502850	+	0.502850i
$825$	1.67348	−	6.24551i	0.0582631	−	0.217441i
$826$	−0.496812	+	17.8520i	−0.0172863	+	0.621151i
$827$	14.3232	+	14.3232i	0.498066	+	0.498066i	0.910835	−	0.412770i	$-0.135439\pi$
$827$	14.3232	+	14.3232i	0.498066	+	0.498066i	−0.412770	+	0.910835i	$0.635439\pi$
$828$	−3.18579	−	5.51795i	−0.110714	−	0.191762i
$829$	−19.9234	+	34.5083i	−0.691968	+	1.19852i	0.279224	+	0.960226i	$0.409923\pi$
$829$	−19.9234	+	34.5083i	−0.691968	+	1.19852i	−0.971192	+	0.238298i	$0.923411\pi$
$830$	6.64960	−	1.78176i	0.230811	−	0.0618456i
$831$	−10.7292			−0.372193
$832$	5.55006	+	5.46741i	0.192414	+	0.189548i
$833$	−2.73881	−	5.41914i	−0.0948940	−	0.187762i
$834$	−3.19267	−	11.9152i	−0.110553	−	0.412590i
$835$	−21.1885	+	36.6996i	−0.733259	+	1.27004i
$836$	−9.50596	−	16.4648i	−0.328770	−	0.569447i
$837$	0.220754	−	0.220754i	0.00763036	−	0.00763036i
$838$	−5.27338	+	19.6805i	−0.182166	+	0.679852i
$839$	13.8941	+	3.72291i	0.479677	+	0.128529i	0.490552	−	0.871412i	$-0.336795\pi$
$839$	13.8941	+	3.72291i	0.479677	+	0.128529i	−0.0108750	+	0.999941i	$0.503462\pi$
$840$	−6.13547	+	9.97537i	−0.211694	+	0.344183i
$841$	0.409656	+	0.709546i	0.0141261	+	0.0244671i
$842$	−5.51904	−	3.18642i	−0.190199	−	0.109811i
$843$	6.44858	+	24.0664i	0.222101	+	0.828892i
$844$			16.6891i			0.574463i
$845$	−15.7905	+	16.2715i	−0.543208	+	0.559757i
$846$		−	3.82434i		−	0.131483i
$847$	0.220752	−	0.119390i	0.00758513	−	0.00410228i
$848$	−1.89631	+	3.28450i	−0.0651195	+	0.112790i
$849$	8.51342	−	4.91523i	0.292180	−	0.168690i
$850$	0.880145	+	0.880145i	0.0301887	+	0.0301887i
$851$	15.5585	+	4.16889i	0.533339	+	0.142908i
$852$	−17.4796	−	4.68364i	−0.598841	−	0.160459i
$853$	−37.5030	+	37.5030i	−1.28408	+	1.28408i	−0.345753	+	0.938326i	$0.612376\pi$
$853$	−37.5030	+	37.5030i	−1.28408	+	1.28408i	−0.938326	+	0.345753i	$0.887624\pi$
$854$	7.35721	+	7.77843i	0.251758	+	0.266172i
$855$	5.94444	+	3.43202i	0.203296	+	0.117373i
$856$	−26.9219	+	7.21369i	−0.920170	+	0.246559i
$857$	1.29908			0.0443757			0.0221879	−	0.999754i	$-0.492937\pi$
$857$	1.29908			0.0443757			0.0221879	+	0.999754i	$0.492937\pi$
$858$	−6.21640	−	6.12383i	−0.212224	−	0.209064i
$859$		−	28.7112i		−	0.979614i	−0.871831	−	0.489807i	$-0.837067\pi$
$859$		−	28.7112i		−	0.979614i	0.871831	−	0.489807i	$-0.162933\pi$
$860$	−28.4393	+	7.62029i	−0.969772	+	0.259850i
$861$	4.99627	+	1.48889i	0.170272	+	0.0507413i
$862$	−17.3415	+	10.0121i	−0.590655	+	0.341015i
$863$	−25.6877	+	25.6877i	−0.874419	+	0.874419i	−0.992950	−	0.118531i	$-0.962181\pi$
$863$	−25.6877	+	25.6877i	−0.874419	+	0.874419i	0.118531	+	0.992950i	$0.462181\pi$
$864$	−1.51587	+	5.65731i	−0.0515710	+	0.192465i
$865$	−0.286137	+	1.06788i	−0.00972894	+	0.0363089i
$866$	11.9933	−	11.9933i	0.407550	−	0.407550i
$867$	−14.0708	+	8.12379i	−0.477870	+	0.275899i
$868$	−1.15800	−	0.345084i	−0.0393050	−	0.0117129i
$869$	50.1859	−	13.4473i	1.70244	−	0.456168i
$870$		−	6.78562i		−	0.230054i
$871$	12.3549	+	7.01004i	0.418628	+	0.237526i
$872$	7.67700			0.259976
$873$	2.82403	−	0.756697i	0.0955790	−	0.0256103i
$874$	−10.8793	−	6.28114i	−0.367996	−	0.212463i
$875$	23.3266	−	22.0634i	0.788583	−	0.745879i
$876$	−8.12345	+	8.12345i	−0.274466	+	0.274466i
$877$	−27.9815	−	7.49761i	−0.944867	−	0.253176i	−0.246684	−	0.969096i	$-0.579341\pi$
$877$	−27.9815	−	7.49761i	−0.944867	−	0.253176i	−0.698183	+	0.715920i	$0.746008\pi$
$878$	−28.8934	−	7.74197i	−0.975106	−	0.261279i
$879$	18.2359	+	18.2359i	0.615081	+	0.615081i
$880$	5.31627	−	3.06935i	0.179212	−	0.103468i
$881$	−2.10988	+	3.65442i	−0.0710838	+	0.123121i	−0.899377	−	0.437175i	$-0.855979\pi$
$881$	−2.10988	+	3.65442i	−0.0710838	+	0.123121i	0.828293	+	0.560296i	$0.189312\pi$
$882$	3.82371	−	3.42021i	0.128751	−	0.115164i
$883$			0.594702i			0.0200133i	0.999950	+	0.0100066i	$0.00318527\pi$
$883$			0.594702i			0.0200133i	−0.999950	+	0.0100066i	$0.996815\pi$
$884$	−4.41030	+	1.21727i	−0.148334	+	0.0409411i
$885$			16.0640i			0.539986i
$886$	1.14917	+	4.28877i	0.0386072	+	0.144084i
$887$	−26.7001	−	15.4153i	−0.896502	−	0.517596i	−0.0204385	−	0.999791i	$-0.506506\pi$
$887$	−26.7001	−	15.4153i	−0.896502	−	0.517596i	−0.876064	+	0.482195i	$0.839840\pi$
$888$	−4.69277	−	8.12812i	−0.157479	−	0.272762i
$889$	−12.9061	−	7.93804i	−0.432856	−	0.266233i
$890$	15.5900	+	4.17732i	0.522577	+	0.140024i
$891$	0.854696	−	3.18977i	0.0286334	−	0.106861i
$892$	7.53539	−	7.53539i	0.252304	−	0.252304i
$893$	10.2682	+	17.7850i	0.343611	+	0.595151i
$894$	−5.25548	+	9.10276i	−0.175769	+	0.304442i
$895$	−6.61058	−	24.6710i	−0.220967	−	0.824661i
$896$	26.0716	−	6.21397i	0.870991	−	0.207594i
$897$	15.1989	+	3.95057i	0.507476	+	0.131906i
$898$	4.69472			0.156665
$899$	1.60082	−	0.428938i	0.0533903	−	0.0143059i
$900$	1.43215	−	2.48056i	0.0477384	−	0.0826854i
$901$	1.54332	+	2.67311i	0.0514155	+	0.0890542i
$902$	3.37214	+	3.37214i	0.112280	+	0.112280i
$903$	30.5186	+	0.849317i	1.01560	+	0.0282635i
$904$	9.24884	−	34.5172i	0.307612	−	1.14802i
$905$	−7.90678	−	7.90678i	−0.262830	−	0.262830i
$906$	15.0815	−	8.70733i	0.501050	−	0.289282i
$907$	−19.4291	−	11.2174i	−0.645133	−	0.372468i	0.141456	−	0.989945i	$-0.454822\pi$
$907$	−19.4291	−	11.2174i	−0.645133	−	0.372468i	−0.786589	+	0.617477i	$0.788155\pi$
$908$	8.88167	+	33.1468i	0.294749	+	1.10002i
$909$	−9.50777			−0.315353
$910$	−2.91598	−	11.8399i	−0.0966637	−	0.392488i
$911$	40.9352			1.35625			0.678123	−	0.734949i	$-0.262794\pi$
$911$	40.9352			1.35625			0.678123	+	0.734949i	$0.262794\pi$
$912$	−1.08562	−	4.05157i	−0.0359483	−	0.134161i
$913$	15.4023	+	8.89250i	0.509740	+	0.294299i
$914$	−18.6694	+	10.7788i	−0.617528	+	0.356530i
$915$	6.80985	+	6.80985i	0.225127	+	0.225127i
$916$	8.69206	−	32.4392i	0.287194	−	1.07182i
$917$	1.60384	−	57.6308i	0.0529633	−	1.90314i
$918$	0.449517	+	0.449517i	0.0148363	+	0.0148363i
$919$	−9.05289	−	15.6801i	−0.298627	−	0.517238i	0.677195	−	0.735804i	$-0.263195\pi$
$919$	−9.05289	−	15.6801i	−0.298627	−	0.517238i	−0.975822	+	0.218566i	$0.929862\pi$
$920$	9.63958	−	16.6963i	0.317808	−	0.550459i
$921$	4.28157	−	1.14724i	0.141083	−	0.0378030i
$922$	8.52686			0.280817
$923$	38.4576	−	22.5898i	1.26585	−	0.743553i
$924$	−12.4330	+	2.96332i	−0.409017	+	0.0974861i
$925$	1.87410	+	6.99424i	0.0616201	+	0.229969i
$926$	4.36651	−	7.56302i	0.143493	−	0.248536i
$927$	−4.02175	−	6.96588i	−0.132092	−	0.228790i
$928$	−21.9850	+	21.9850i	−0.721693	+	0.721693i
$929$	−5.79612	+	21.6314i	−0.190165	+	0.709704i	0.803301	+	0.595573i	$0.203075\pi$
$929$	−5.79612	+	21.6314i	−0.190165	+	0.709704i	−0.993466	+	0.114131i	$0.963592\pi$
$930$	0.385461	+	0.103284i	0.0126398	+	0.00338682i
$931$	−8.59896	+	26.1721i	−0.281820	+	0.857754i
$932$	12.0888	+	20.9385i	0.395983	+	0.685863i
$933$	−19.3680	−	11.1821i	−0.634078	−	0.366085i
$934$	4.02611	+	15.0256i	0.131738	+	0.491654i
$935$		−	4.99602i		−	0.163387i
$936$	−4.63455	−	7.88999i	−0.151485	−	0.257892i
$937$		−	37.1911i		−	1.21498i	−0.794328	−	0.607490i	$-0.792177\pi$
$937$		−	37.1911i		−	1.21498i	0.794328	−	0.607490i	$-0.207823\pi$
$938$	−6.71951	+	3.63412i	−0.219400	+	0.118658i
$939$	2.66281	−	4.61213i	0.0868976	−	0.150511i
$940$	−11.5304	+	6.65709i	−0.376081	+	0.217130i
$941$	10.1073	+	10.1073i	0.329488	+	0.329488i	0.852392	−	0.522904i	$-0.175151\pi$
$941$	10.1073	+	10.1073i	0.329488	+	0.329488i	−0.522904	+	0.852392i	$0.675151\pi$
$942$	10.9059	+	2.92222i	0.355333	+	0.0952112i
$943$	−8.28995	−	2.22129i	−0.269958	−	0.0723350i
$944$	6.94126	−	6.94126i	0.225919	−	0.225919i
$945$	3.35249	−	3.17095i	0.109057	−	0.103151i
$946$	24.1859	+	13.9638i	0.786353	+	0.454001i
$947$	−32.0858	+	8.59736i	−1.04265	+	0.279377i	−0.739210	−	0.673474i	$-0.764801\pi$
$947$	−32.0858	+	8.59736i	−1.04265	+	0.279377i	−0.303438	+	0.952851i	$0.598134\pi$
$948$	23.0162			0.747531
$949$	−0.212403	−	28.3142i	−0.00689488	−	0.919117i
$950$		−	5.64730i		−	0.183223i
$951$	−13.0499	+	3.49671i	−0.423172	+	0.113389i
$952$	1.66338	−	5.58178i	0.0539103	−	0.180907i
$953$	−31.7109	+	18.3083i	−1.02722	+	0.593063i	−0.916186	−	0.400754i	$-0.868748\pi$
$953$	−31.7109	+	18.3083i	−1.02722	+	0.593063i	−0.111030	+	0.993817i	$0.535415\pi$
$954$	−1.84407	+	1.84407i	−0.0597039	+	0.0597039i
$955$	2.14608	−	8.00930i	0.0694457	−	0.259175i
$956$	10.0847	−	37.6366i	0.326162	−	1.21725i
$957$	12.3959	−	12.3959i	0.400701	−	0.400701i
$958$	−13.8802	+	8.01376i	−0.448450	+	0.258913i
$959$	−0.0290073	+	0.0973395i	−0.000936693	+	0.00314326i
$960$	−3.64026	+	0.975404i	−0.117489	+	0.0314810i
$961$		−	30.9025i		−	0.996856i
$962$	9.45794	+	2.45836i	0.304936	+	0.0792606i
$963$	10.9822			0.353897
$964$	1.63711	−	0.438661i	0.0527276	−	0.0141283i
$965$	14.2403	+	8.22165i	0.458412	+	0.264664i
$966$	−6.13559	+	5.80333i	−0.197409	+	0.186719i
$967$	−8.31570	+	8.31570i	−0.267415	+	0.267415i	−0.828058	−	0.560643i	$-0.810554\pi$
$967$	−8.31570	+	8.31570i	−0.267415	+	0.267415i	0.560643	+	0.828058i	$0.310554\pi$
$968$	0.232534	+	0.0623072i	0.00747392	+	0.00200263i
$969$	−3.29740	−	0.883534i	−0.105928	−	0.0283832i
$970$	2.64256	+	2.64256i	0.0848474	+	0.0848474i
$971$	12.9298	−	7.46501i	0.414936	−	0.239564i	−0.277972	−	0.960589i	$-0.589662\pi$
$971$	12.9298	−	7.46501i	0.414936	−	0.239564i	0.692909	+	0.721026i	$0.256329\pi$
$972$	0.731443	−	1.26690i	0.0234611	−	0.0406357i
$973$	39.1705	−	21.1846i	1.25575	−	0.679147i
$974$		−	21.7751i		−	0.697718i
$975$	1.87826	+	6.80516i	0.0601525	+	0.217939i
$976$		−	5.88508i		−	0.188377i
$977$	−5.67268	−	21.1707i	−0.181485	−	0.677312i	−0.995356	−	0.0962656i	$-0.969310\pi$
$977$	−5.67268	−	21.1707i	−0.181485	−	0.677312i	0.813871	−	0.581046i	$-0.197356\pi$
$978$	−0.835881	−	0.482596i	−0.0267285	−	0.0154317i
$979$	20.8484	+	36.1105i	0.666319	+	1.15410i
$980$	−16.9680	−	5.57491i	−0.542022	−	0.178084i
$981$	−2.92189	−	0.782918i	−0.0932888	−	0.0249967i
$982$	−5.23923	+	19.5531i	−0.167191	+	0.623964i
$983$	16.7042	−	16.7042i	0.532782	−	0.532782i	−0.388617	−	0.921399i	$-0.627047\pi$
$983$	16.7042	−	16.7042i	0.532782	−	0.532782i	0.921399	+	0.388617i	$0.127047\pi$
$984$	2.50042	+	4.33086i	0.0797105	+	0.138063i
$985$	9.79866	−	16.9718i	0.312211	−	0.540766i
$986$	0.873439	+	3.25972i	0.0278160	+	0.103811i
$987$	13.4299	−	3.20093i	0.427480	−	0.101887i
$988$	18.0542	+	10.2438i	0.574379	+	0.325898i
$989$	−50.2597			−1.59817
$990$	4.07731	−	1.09251i	0.129585	−	0.0347223i
$991$	−22.3070	+	38.6368i	−0.708604	+	1.22734i	0.256771	+	0.966472i	$0.417341\pi$
$991$	−22.3070	+	38.6368i	−0.708604	+	1.22734i	−0.965375	+	0.260866i	$0.915992\pi$
$992$	−0.914237	−	1.58350i	−0.0290271	−	0.0502763i
$993$	−6.77732	−	6.77732i	−0.215072	−	0.215072i
$994$	−0.667261	+	23.9768i	−0.0211642	+	0.760497i
$995$	−5.66962	+	21.1593i	−0.179739	+	0.670795i
$996$	5.57101	+	5.57101i	0.176524	+	0.176524i
$997$	−23.6130	+	13.6330i	−0.747831	+	0.431760i	−0.824910	−	0.565265i	$-0.808774\pi$
$997$	−23.6130	+	13.6330i	−0.747831	+	0.431760i	0.0770787	+	0.997025i	$0.475441\pi$
$998$	−4.78411	−	2.76211i	−0.151438	−	0.0874330i
$999$	0.957160	+	3.57217i	0.0302832	+	0.113018i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	273.2.by.d.97.4	yes	32
3.2	odd	2		819.2.fm.e.370.5		32
7.6	odd	2		273.2.by.c.97.4	yes	32
13.11	odd	12		273.2.by.c.76.4	✓	32
21.20	even	2		819.2.fm.f.370.5		32
39.11	even	12		819.2.fm.f.622.5		32
91.76	even	12	inner	273.2.by.d.76.4	yes	32
273.167	odd	12		819.2.fm.e.622.5		32

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
273.2.by.c.76.4	✓	32	13.11	odd	12
273.2.by.c.97.4	yes	32	7.6	odd	2
273.2.by.d.76.4	yes	32	91.76	even	12	inner
273.2.by.d.97.4	yes	32	1.1	even	1	trivial
819.2.fm.e.370.5		32	3.2	odd	2
819.2.fm.e.622.5		32	273.167	odd	12
819.2.fm.f.370.5		32	21.20	even	2
819.2.fm.f.622.5		32	39.11	even	12

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 273 = 3 \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	273.by (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.189683 - 0.707908i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(1.26690 - 0.731443i) q^{4} +(-1.23329 - 1.23329i) q^{5} +(-0.189683 + 0.707908i) q^{6} +(-2.64473 - 0.0736014i) q^{7} +(-1.79455 - 1.79455i) q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})\)	\(q+(-0.189683 - 0.707908i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(1.26690 - 0.731443i) q^{4} +(-1.23329 - 1.23329i) q^{5} +(-0.189683 + 0.707908i) q^{6} +(-2.64473 - 0.0736014i) q^{7} +(-1.79455 - 1.79455i) q^{8} +(0.500000 + 0.866025i) q^{9} +(-0.639122 + 1.10699i) q^{10} +(-3.18977 + 0.854696i) q^{11} -1.46289 q^{12} +(2.53031 - 2.56856i) q^{13} +(0.449558 + 1.88618i) q^{14} +(0.451416 + 1.68471i) q^{15} +(0.532906 - 0.923019i) q^{16} +(-0.433708 - 0.751205i) q^{17} +(0.518224 - 0.518224i) q^{18} +(-1.01858 + 3.80140i) q^{19} +(-2.46454 - 0.660371i) q^{20} +(2.25360 + 1.38610i) q^{21} +(1.21009 + 2.09594i) q^{22} +(-3.77196 - 2.17774i) q^{23} +(0.656852 + 2.45140i) q^{24} -1.95798i q^{25} +(-2.29826 - 1.30401i) q^{26} -1.00000i q^{27} +(-3.40443 + 1.84122i) q^{28} +(2.65427 - 4.59734i) q^{29} +(1.10699 - 0.639122i) q^{30} +(0.220754 + 0.220754i) q^{31} +(-5.65731 - 1.51587i) q^{32} +(3.18977 + 0.854696i) q^{33} +(-0.449517 + 0.449517i) q^{34} +(3.17095 + 3.35249i) q^{35} +(1.26690 + 0.731443i) q^{36} +(-3.57217 + 0.957160i) q^{37} +2.88425 q^{38} +(-3.47560 + 0.959284i) q^{39} +4.42641i q^{40} +(1.90334 - 0.509998i) q^{41} +(0.553764 - 1.85826i) q^{42} +(9.99342 - 5.76970i) q^{43} +(-3.41595 + 3.41595i) q^{44} +(0.451416 - 1.68471i) q^{45} +(-0.826162 + 3.08328i) q^{46} +(3.68984 - 3.68984i) q^{47} +(-0.923019 + 0.532906i) q^{48} +(6.98917 + 0.389311i) q^{49} +(-1.38607 + 0.371397i) q^{50} +0.867417i q^{51} +(1.32689 - 5.10489i) q^{52} -3.55843 q^{53} +(-0.707908 + 0.189683i) q^{54} +(4.98801 + 2.87983i) q^{55} +(4.61402 + 4.87818i) q^{56} +(2.78282 - 2.78282i) q^{57} +(-3.75796 - 1.00694i) q^{58} +(8.89645 + 2.38380i) q^{59} +(1.80417 + 1.80417i) q^{60} +(4.78192 - 2.76084i) q^{61} +(0.114400 - 0.198147i) q^{62} +(-1.25862 - 2.32720i) q^{63} +2.16076i q^{64} +(-6.28840 + 0.0471733i) q^{65} -2.42019i q^{66} +(1.01969 + 3.80552i) q^{67} +(-1.09893 - 0.634466i) q^{68} +(2.17774 + 3.77196i) q^{69} +(1.77178 - 2.88065i) q^{70} +(11.9487 + 3.20164i) q^{71} +(0.656852 - 2.45140i) q^{72} +(5.55302 - 5.55302i) q^{73} +(1.35516 + 2.34721i) q^{74} +(-0.978991 + 1.69566i) q^{75} +(1.49007 + 5.56101i) q^{76} +(8.49898 - 2.02567i) q^{77} +(1.33835 + 2.27844i) q^{78} -15.7334 q^{79} +(-1.79558 + 0.481124i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(-0.722063 - 1.25065i) q^{82} +(-3.80823 - 3.80823i) q^{83} +(3.86894 + 0.107671i) q^{84} +(-0.391566 + 1.46134i) q^{85} +(-5.98000 - 5.98000i) q^{86} +(-4.59734 + 2.65427i) q^{87} +(7.25801 + 4.19041i) q^{88} +(-3.26801 - 12.1964i) q^{89} -1.27824 q^{90} +(-6.88104 + 6.60691i) q^{91} -6.37158 q^{92} +(-0.0808014 - 0.301555i) q^{93} +(-3.31197 - 1.91217i) q^{94} +(5.94444 - 3.43202i) q^{95} +(4.14143 + 4.14143i) q^{96} +(0.756697 - 2.82403i) q^{97} +(-1.05013 - 5.02153i) q^{98} +(-2.33507 - 2.33507i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 32 q - 2 q^{2} + 6 q^{4} + 2 q^{5} - 2 q^{6} + 2 q^{7} + 2 q^{8} + 16 q^{9}+O(q^{10}) \) 32 * q - 2 * q^2 + 6 * q^4 + 2 * q^5 - 2 * q^6 + 2 * q^7 + 2 * q^8 + 16 * q^9	\( 32 q - 2 q^{2} + 6 q^{4} + 2 q^{5} - 2 q^{6} + 2 q^{7} + 2 q^{8} + 16 q^{9} + 2 q^{10} - 4 q^{11} + 32 q^{12} + 6 q^{13} + 34 q^{14} + 4 q^{15} + 14 q^{16} - 8 q^{17} + 2 q^{18} + 2 q^{19} + 44 q^{20} - 4 q^{21} - 4 q^{22} - 18 q^{23} + 4 q^{24} - 28 q^{26} - 32 q^{28} - 18 q^{29} - 14 q^{31} - 8 q^{32} + 4 q^{33} - 66 q^{34} + 22 q^{35} + 6 q^{36} - 24 q^{37} + 24 q^{38} + 8 q^{39} - 26 q^{42} - 6 q^{43} - 20 q^{44} + 4 q^{45} - 58 q^{46} - 28 q^{47} - 60 q^{48} + 8 q^{49} + 70 q^{50} + 28 q^{52} - 80 q^{53} - 4 q^{54} + 60 q^{55} - 54 q^{56} + 16 q^{57} - 4 q^{58} - 42 q^{59} - 58 q^{60} + 36 q^{61} + 52 q^{62} + 4 q^{63} + 14 q^{65} + 26 q^{67} - 72 q^{68} + 2 q^{69} - 116 q^{70} - 4 q^{71} + 4 q^{72} + 12 q^{73} - 18 q^{74} + 16 q^{75} - 48 q^{76} + 28 q^{77} - 14 q^{78} - 4 q^{79} - 98 q^{80} - 16 q^{81} + 20 q^{82} - 36 q^{83} - 18 q^{84} - 10 q^{85} - 40 q^{86} + 96 q^{88} - 54 q^{89} + 4 q^{90} + 148 q^{91} - 4 q^{92} + 2 q^{93} + 60 q^{95} + 22 q^{96} - 40 q^{97} + 36 q^{98} + 4 q^{99}+O(q^{100}) \) 32 * q - 2 * q^2 + 6 * q^4 + 2 * q^5 - 2 * q^6 + 2 * q^7 + 2 * q^8 + 16 * q^9 + 2 * q^10 - 4 * q^11 + 32 * q^12 + 6 * q^13 + 34 * q^14 + 4 * q^15 + 14 * q^16 - 8 * q^17 + 2 * q^18 + 2 * q^19 + 44 * q^20 - 4 * q^21 - 4 * q^22 - 18 * q^23 + 4 * q^24 - 28 * q^26 - 32 * q^28 - 18 * q^29 - 14 * q^31 - 8 * q^32 + 4 * q^33 - 66 * q^34 + 22 * q^35 + 6 * q^36 - 24 * q^37 + 24 * q^38 + 8 * q^39 - 26 * q^42 - 6 * q^43 - 20 * q^44 + 4 * q^45 - 58 * q^46 - 28 * q^47 - 60 * q^48 + 8 * q^49 + 70 * q^50 + 28 * q^52 - 80 * q^53 - 4 * q^54 + 60 * q^55 - 54 * q^56 + 16 * q^57 - 4 * q^58 - 42 * q^59 - 58 * q^60 + 36 * q^61 + 52 * q^62 + 4 * q^63 + 14 * q^65 + 26 * q^67 - 72 * q^68 + 2 * q^69 - 116 * q^70 - 4 * q^71 + 4 * q^72 + 12 * q^73 - 18 * q^74 + 16 * q^75 - 48 * q^76 + 28 * q^77 - 14 * q^78 - 4 * q^79 - 98 * q^80 - 16 * q^81 + 20 * q^82 - 36 * q^83 - 18 * q^84 - 10 * q^85 - 40 * q^86 + 96 * q^88 - 54 * q^89 + 4 * q^90 + 148 * q^91 - 4 * q^92 + 2 * q^93 + 60 * q^95 + 22 * q^96 - 40 * q^97 + 36 * q^98 + 4 * q^99

Introduction

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