LMFDB - Embedded newform 273.2.by.c.202.2

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			202.2
Character	$\chi$	$=$	273.202
Dual form			273.2.by.c.223.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-2.11902 + 0.567791i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(2.43582 - 1.40632i) q^{4} +(3.00219 - 3.00219i) q^{5} +(2.11902 + 0.567791i) q^{6} +(-2.49394 - 0.883331i) q^{7} +(-1.26060 + 1.26060i) q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})$	\(q+(-2.11902 + 0.567791i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(2.43582 - 1.40632i) q^{4} +(3.00219 - 3.00219i) q^{5} +(2.11902 + 0.567791i) q^{6} +(-2.49394 - 0.883331i) q^{7} +(-1.26060 + 1.26060i) q^{8} +(0.500000 + 0.866025i) q^{9} +(-4.65710 + 8.06633i) q^{10} +(-0.698323 - 2.60618i) q^{11} -2.81265 q^{12} +(-0.373866 + 3.58612i) q^{13} +(5.78626 + 0.455764i) q^{14} +(-4.10107 + 1.09888i) q^{15} +(-0.857159 + 1.48464i) q^{16} +(-0.599399 - 1.03819i) q^{17} +(-1.55123 - 1.55123i) q^{18} +(-1.89568 - 0.507945i) q^{19} +(3.09075 - 11.5349i) q^{20} +(1.71815 + 2.01196i) q^{21} +(2.95953 + 5.12605i) q^{22} +(-4.65282 - 2.68631i) q^{23} +(1.72201 - 0.461412i) q^{24} -13.0263i q^{25} +(-1.24393 - 7.81134i) q^{26} -1.00000i q^{27} +(-7.31704 + 1.35564i) q^{28} +(1.47928 - 2.56220i) q^{29} +(8.06633 - 4.65710i) q^{30} +(3.36721 - 3.36721i) q^{31} +(1.89620 - 7.07671i) q^{32} +(-0.698323 + 2.60618i) q^{33} +(1.85961 + 1.85961i) q^{34} +(-10.1392 + 4.83535i) q^{35} +(2.43582 + 1.40632i) q^{36} +(-1.03769 - 3.87273i) q^{37} +4.30539 q^{38} +(2.11684 - 2.91873i) q^{39} +7.56914i q^{40} +(1.42770 + 5.32825i) q^{41} +(-4.78317 - 3.28783i) q^{42} +(-9.78317 + 5.64832i) q^{43} +(-5.36612 - 5.36612i) q^{44} +(4.10107 + 1.09888i) q^{45} +(11.3847 + 3.05052i) q^{46} +(2.97828 + 2.97828i) q^{47} +(1.48464 - 0.857159i) q^{48} +(5.43945 + 4.40594i) q^{49} +(7.39621 + 27.6030i) q^{50} +1.19880i q^{51} +(4.13256 + 9.26092i) q^{52} -11.0603 q^{53} +(0.567791 + 2.11902i) q^{54} +(-9.92075 - 5.72775i) q^{55} +(4.25739 - 2.03033i) q^{56} +(1.38773 + 1.38773i) q^{57} +(-1.67985 + 6.26927i) q^{58} +(3.14721 - 11.7455i) q^{59} +(-8.44410 + 8.44410i) q^{60} +(4.55683 - 2.63089i) q^{61} +(-5.22332 + 9.04706i) q^{62} +(-0.481982 - 2.60148i) q^{63} +12.6437i q^{64} +(9.64379 + 11.8886i) q^{65} -5.91905i q^{66} +(4.15530 - 1.11341i) q^{67} +(-2.92006 - 1.68590i) q^{68} +(2.68631 + 4.65282i) q^{69} +(18.7397 - 16.0032i) q^{70} +(0.800761 - 2.98848i) q^{71} +(-1.72201 - 0.461412i) q^{72} +(-4.78407 - 4.78407i) q^{73} +(4.39780 + 7.61721i) q^{74} +(-6.51315 + 11.2811i) q^{75} +(-5.33186 + 1.42867i) q^{76} +(-0.560542 + 7.11650i) q^{77} +(-2.82839 + 7.38678i) q^{78} -1.16895 q^{79} +(1.88383 + 7.03054i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(-6.05066 - 10.4801i) q^{82} +(3.24002 - 3.24002i) q^{83} +(7.01456 + 2.48450i) q^{84} +(-4.91635 - 1.31733i) q^{85} +(17.5237 - 17.5237i) q^{86} +(-2.56220 + 1.47928i) q^{87} +(4.16566 + 2.40505i) q^{88} +(-4.80209 + 1.28672i) q^{89} -9.31419 q^{90} +(4.10012 - 8.61330i) q^{91} -15.1113 q^{92} +(-4.59969 + 1.23248i) q^{93} +(-8.00209 - 4.62001i) q^{94} +(-7.21613 + 4.16623i) q^{95} +(-5.18051 + 5.18051i) q^{96} +(14.7483 + 3.95180i) q^{97} +(-14.0280 - 6.24783i) q^{98} +(1.90786 - 1.90786i) 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} + 2 q^{21} - 4 q^{22} - 18 q^{23} - 4 q^{24} + 28 q^{26} - 18 q^{28} - 18 q^{29} + 14 q^{31} - 8 q^{32} - 4 q^{33} + 66 q^{34} - 20 q^{35} + 6 q^{36} - 24 q^{37} - 24 q^{38} + 8 q^{39} + 16 q^{42} - 6 q^{43} - 20 q^{44} - 4 q^{45} - 58 q^{46} + 28 q^{47} + 60 q^{48} + 10 q^{49} + 70 q^{50} - 28 q^{52} - 80 q^{53} + 4 q^{54} - 60 q^{55} - 120 q^{56} + 16 q^{57} - 4 q^{58} + 42 q^{59} - 58 q^{60} - 36 q^{61} - 52 q^{62} + 2 q^{63} + 14 q^{65} + 26 q^{67} + 72 q^{68} - 2 q^{69} + 68 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} + 32 q^{84} - 10 q^{85} - 40 q^{86} + 96 q^{88} + 54 q^{89} - 4 q^{90} - 54 q^{91} - 4 q^{92} + 2 q^{93} + 60 q^{95} - 22 q^{96} + 40 q^{97} + 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 + 2 * q^21 - 4 * q^22 - 18 * q^23 - 4 * q^24 + 28 * q^26 - 18 * q^28 - 18 * q^29 + 14 * q^31 - 8 * q^32 - 4 * q^33 + 66 * q^34 - 20 * q^35 + 6 * q^36 - 24 * q^37 - 24 * q^38 + 8 * q^39 + 16 * q^42 - 6 * q^43 - 20 * q^44 - 4 * q^45 - 58 * q^46 + 28 * q^47 + 60 * q^48 + 10 * q^49 + 70 * q^50 - 28 * q^52 - 80 * q^53 + 4 * q^54 - 60 * q^55 - 120 * q^56 + 16 * q^57 - 4 * q^58 + 42 * q^59 - 58 * q^60 - 36 * q^61 - 52 * q^62 + 2 * q^63 + 14 * q^65 + 26 * q^67 + 72 * q^68 - 2 * q^69 + 68 * 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 + 32 * q^84 - 10 * q^85 - 40 * q^86 + 96 * q^88 + 54 * q^89 - 4 * q^90 - 54 * q^91 - 4 * q^92 + 2 * q^93 + 60 * q^95 - 22 * q^96 + 40 * q^97 + 4 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$92$	$106$	$157$
$\chi(n)$	$1$	$e\left(\frac{11}{12}\right)$	$-1$

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 $

$2$	−2.11902	+	0.567791i	−1.49838	+	0.401489i	−0.912556	−	0.408953i	$-0.865894\pi$
$2$	−2.11902	+	0.567791i	−1.49838	+	0.401489i	−0.585820	+	0.810441i	$0.699227\pi$
$3$	−0.866025	−	0.500000i	−0.500000	−	0.288675i
$3$	−0.866025	−	0.500000i	−0.500000	−	0.288675i
$4$	2.43582	−	1.40632i	1.21791	−	0.703161i
$5$	3.00219	−	3.00219i	1.34262	−	1.34262i	0.449179	−	0.893442i	$-0.351717\pi$
$5$	3.00219	−	3.00219i	1.34262	−	1.34262i	0.893442	−	0.449179i	$-0.148283\pi$
$6$	2.11902	+	0.567791i	0.865088	+	0.231800i
$7$	−2.49394	−	0.883331i	−0.942620	−	0.333868i
$7$	−2.49394	−	0.883331i	−0.942620	−	0.333868i
$8$	−1.26060	+	1.26060i	−0.445690	+	0.445690i
$9$	0.500000	+	0.866025i	0.166667	+	0.288675i
$10$	−4.65710	+	8.06633i	−1.47270	+	2.55080i
$11$	−0.698323	−	2.60618i	−0.210552	−	0.785792i	−0.987685	−	0.156455i	$-0.949993\pi$
$11$	−0.698323	−	2.60618i	−0.210552	−	0.785792i	0.777133	−	0.629337i	$-0.216673\pi$
$12$	−2.81265			−0.811941
$13$	−0.373866	+	3.58612i	−0.103692	+	0.994609i
$13$	−0.373866	+	3.58612i	−0.103692	+	0.994609i
$14$	5.78626	+	0.455764i	1.54644	+	0.121808i
$15$	−4.10107	+	1.09888i	−1.05889	+	0.283729i
$16$	−0.857159	+	1.48464i	−0.214290	+	0.371161i
$17$	−0.599399	−	1.03819i	−0.145376	−	0.251798i	0.784137	−	0.620587i	$-0.213106\pi$
$17$	−0.599399	−	1.03819i	−0.145376	−	0.251798i	−0.929513	+	0.368789i	$0.879772\pi$
$18$	−1.55123	−	1.55123i	−0.365629	−	0.365629i
$19$	−1.89568	−	0.507945i	−0.434898	−	0.116531i	0.0347266	−	0.999397i	$-0.488944\pi$
$19$	−1.89568	−	0.507945i	−0.434898	−	0.116531i	−0.469624	+	0.882866i	$0.655611\pi$
$20$	3.09075	−	11.5349i	0.691114	−	2.57927i
$21$	1.71815	+	2.01196i	0.374931	+	0.439045i
$22$	2.95953	+	5.12605i	0.630973	+	1.09288i
$23$	−4.65282	−	2.68631i	−0.970181	−	0.560134i	−0.0708893	−	0.997484i	$-0.522584\pi$
$23$	−4.65282	−	2.68631i	−0.970181	−	0.560134i	−0.899291	+	0.437350i	$0.855917\pi$
$24$	1.72201	−	0.461412i	0.351505	−	0.0941854i
$25$		−	13.0263i		−	2.60526i
$26$	−1.24393	−	7.81134i	−0.243955	−	1.53193i
$27$		−	1.00000i		−	0.192450i
$28$	−7.31704	+	1.35564i	−1.38279	+	0.256193i
$29$	1.47928	−	2.56220i	0.274696	−	0.475788i	−0.695362	−	0.718659i	$-0.744756\pi$
$29$	1.47928	−	2.56220i	0.274696	−	0.475788i	0.970058	+	0.242872i	$0.0780894\pi$
$30$	8.06633	−	4.65710i	1.47270	−	0.850266i
$31$	3.36721	−	3.36721i	0.604768	−	0.604768i	−0.336806	−	0.941574i	$-0.609347\pi$
$31$	3.36721	−	3.36721i	0.604768	−	0.604768i	0.941574	+	0.336806i	$0.109347\pi$
$32$	1.89620	−	7.07671i	0.335204	−	1.25100i
$33$	−0.698323	+	2.60618i	−0.121563	+	0.453677i
$34$	1.85961	+	1.85961i	0.318921	+	0.318921i
$35$	−10.1392	+	4.83535i	−1.71384	+	0.817324i
$36$	2.43582	+	1.40632i	0.405970	+	0.234387i
$37$	−1.03769	−	3.87273i	−0.170596	−	0.636673i	−0.997260	−	0.0739770i	$-0.976431\pi$
$37$	−1.03769	−	3.87273i	−0.170596	−	0.636673i	0.826664	−	0.562696i	$-0.190236\pi$
$38$	4.30539			0.698426
$39$	2.11684	−	2.91873i	0.338965	−	0.467371i
$40$			7.56914i			1.19679i
$41$	1.42770	+	5.32825i	0.222969	+	0.832133i	0.983208	+	0.182489i	$0.0584154\pi$
$41$	1.42770	+	5.32825i	0.222969	+	0.832133i	−0.760239	+	0.649644i	$0.774918\pi$
$42$	−4.78317	−	3.28783i	−0.738058	−	0.507324i
$43$	−9.78317	+	5.64832i	−1.49192	+	0.861360i	−0.999957	−	0.00925580i	$-0.997054\pi$
$43$	−9.78317	+	5.64832i	−1.49192	+	0.861360i	−0.491963	+	0.870616i	$0.663720\pi$
$44$	−5.36612	−	5.36612i	−0.808973	−	0.808973i
$45$	4.10107	+	1.09888i	0.611351	+	0.163811i
$46$	11.3847	+	3.05052i	1.67858	+	0.449775i
$47$	2.97828	+	2.97828i	0.434427	+	0.434427i	0.890131	−	0.455704i	$-0.150613\pi$
$47$	2.97828	+	2.97828i	0.434427	+	0.434427i	−0.455704	+	0.890131i	$0.650613\pi$
$48$	1.48464	−	0.857159i	0.214290	−	0.123720i
$49$	5.43945	+	4.40594i	0.777065	+	0.629421i
$50$	7.39621	+	27.6030i	1.04598	+	3.90366i
$51$			1.19880i			0.167865i
$52$	4.13256	+	9.26092i	0.573084	+	1.28426i
$53$	−11.0603			−1.51925			−0.759627	−	0.650359i	$-0.774618\pi$
$53$	−11.0603			−1.51925			−0.759627	+	0.650359i	$0.774618\pi$
$54$	0.567791	+	2.11902i	0.0772665	+	0.288363i
$55$	−9.92075	−	5.72775i	−1.33771	−	0.772329i
$56$	4.25739	−	2.03033i	0.568918	−	0.271315i
$57$	1.38773	+	1.38773i	0.183809	+	0.183809i
$58$	−1.67985	+	6.26927i	−0.220575	+	0.823196i
$59$	3.14721	−	11.7455i	0.409731	−	1.52914i	−0.385428	−	0.922738i	$-0.625946\pi$
$59$	3.14721	−	11.7455i	0.409731	−	1.52914i	0.795160	−	0.606400i	$-0.207387\pi$
$60$	−8.44410	+	8.44410i	−1.09013	+	1.09013i
$61$	4.55683	−	2.63089i	0.583442	−	0.336851i	−0.179058	−	0.983839i	$-0.557305\pi$
$61$	4.55683	−	2.63089i	0.583442	−	0.336851i	0.762500	+	0.646988i	$0.223972\pi$
$62$	−5.22332	+	9.04706i	−0.663362	+	1.14898i
$63$	−0.481982	−	2.60148i	−0.0607240	−	0.327756i
$64$			12.6437i			1.58046i
$65$	9.64379	+	11.8886i	1.19616	+	1.47460i
$66$		−	5.91905i		−	0.728585i
$67$	4.15530	−	1.11341i	0.507651	−	0.136025i	0.00410235	−	0.999992i	$-0.498694\pi$
$67$	4.15530	−	1.11341i	0.507651	−	0.136025i	0.503549	+	0.863967i	$0.332028\pi$
$68$	−2.92006	−	1.68590i	−0.354109	−	0.204445i
$69$	2.68631	+	4.65282i	0.323394	+	0.560134i
$70$	18.7397	−	16.0032i	2.23983	−	1.91274i
$71$	0.800761	−	2.98848i	0.0950329	−	0.354668i	−0.901992	−	0.431754i	$-0.857895\pi$
$71$	0.800761	−	2.98848i	0.0950329	−	0.354668i	0.997024	+	0.0770861i	$0.0245616\pi$
$72$	−1.72201	−	0.461412i	−0.202941	−	0.0543780i
$73$	−4.78407	−	4.78407i	−0.559933	−	0.559933i	0.369355	−	0.929288i	$-0.379579\pi$
$73$	−4.78407	−	4.78407i	−0.559933	−	0.559933i	−0.929288	+	0.369355i	$0.879579\pi$
$74$	4.39780	+	7.61721i	0.511234	+	0.885483i
$75$	−6.51315	+	11.2811i	−0.752074	+	1.30263i
$76$	−5.33186	+	1.42867i	−0.611607	+	0.163879i
$77$	−0.560542	+	7.11650i	−0.0638797	+	0.811000i
$78$	−2.82839	+	7.38678i	−0.320252	+	0.836389i
$79$	−1.16895			−0.131517			−0.0657584	−	0.997836i	$-0.520947\pi$
$79$	−1.16895			−0.131517			−0.0657584	+	0.997836i	$0.520947\pi$
$80$	1.88383	+	7.03054i	0.210618	+	0.786038i
$81$	−0.500000	+	0.866025i	−0.0555556	+	0.0962250i
$82$	−6.05066	−	10.4801i	−0.668184	−	1.15733i
$83$	3.24002	−	3.24002i	0.355639	−	0.355639i	−0.506564	−	0.862202i	$-0.669085\pi$
$83$	3.24002	−	3.24002i	0.355639	−	0.355639i	0.862202	+	0.506564i	$0.169085\pi$
$84$	7.01456	+	2.48450i	0.765352	+	0.271081i
$85$	−4.91635	−	1.31733i	−0.533253	−	0.142885i
$86$	17.5237	−	17.5237i	1.88963	−	1.88963i
$87$	−2.56220	+	1.47928i	−0.274696	+	0.158596i
$88$	4.16566	+	2.40505i	0.444061	+	0.256379i
$89$	−4.80209	+	1.28672i	−0.509020	+	0.136392i	−0.504183	−	0.863597i	$-0.668206\pi$
$89$	−4.80209	+	1.28672i	−0.509020	+	0.136392i	−0.00483713	+	0.999988i	$0.501540\pi$
$90$	−9.31419			−0.981802
$91$	4.10012	−	8.61330i	0.429810	−	0.902919i
$92$	−15.1113			−1.57546
$93$	−4.59969	+	1.23248i	−0.476966	+	0.127803i
$94$	−8.00209	−	4.62001i	−0.825352	−	0.476517i
$95$	−7.21613	+	4.16623i	−0.740359	+	0.427447i
$96$	−5.18051	+	5.18051i	−0.528733	+	0.528733i
$97$	14.7483	+	3.95180i	1.49746	+	0.401244i	0.912250	−	0.409634i	$-0.134344\pi$
$97$	14.7483	+	3.95180i	1.49746	+	0.401244i	0.585214	+	0.810879i	$0.301010\pi$
$98$	−14.0280	−	6.24783i	−1.41704	−	0.631126i
$99$	1.90786	−	1.90786i	0.191747	−	0.191747i
$100$	−18.3192	−	31.7298i	−1.83192	−	3.17298i
$101$	0.803086	−	1.39099i	0.0799101	−	0.138408i	−0.823301	−	0.567605i	$-0.807870\pi$
$101$	0.803086	−	1.39099i	0.0799101	−	0.138408i	0.903211	+	0.429197i	$0.141203\pi$
$102$	−0.680666	−	2.54028i	−0.0673960	−	0.251525i
$103$	14.4997			1.42870			0.714351	−	0.699787i	$-0.246722\pi$
$103$	14.4997			1.42870			0.714351	+	0.699787i	$0.246722\pi$
$104$	−4.04937	−	4.99196i	−0.397073	−	0.489502i
$105$	11.1985	+	0.882067i	1.09286	+	0.0860809i
$106$	23.4371	−	6.27995i	2.27641	−	0.609963i
$107$	1.91021	−	3.30858i	0.184667	−	0.319852i	−0.758797	−	0.651327i	$-0.774213\pi$
$107$	1.91021	−	3.30858i	0.184667	−	0.319852i	0.943464	+	0.331475i	$0.107546\pi$
$108$	−1.40632	−	2.43582i	−0.135323	−	0.234387i
$109$	9.59246	+	9.59246i	0.918791	+	0.918791i	0.996942	−	0.0781507i	$-0.0249015\pi$
$109$	9.59246	+	9.59246i	0.918791	+	0.918791i	−0.0781507	+	0.996942i	$0.524902\pi$
$110$	24.2745	+	6.50432i	2.31448	+	0.620163i
$111$	−1.03769	+	3.87273i	−0.0984936	+	0.367583i
$112$	3.44913	−	2.94545i	0.325912	−	0.278319i
$113$	−1.57880	−	2.73457i	−0.148521	−	0.257247i	0.782160	−	0.623078i	$-0.214118\pi$
$113$	−1.57880	−	2.73457i	−0.148521	−	0.257247i	−0.930681	+	0.365831i	$0.880785\pi$
$114$	−3.72857	−	2.15269i	−0.349213	−	0.201618i
$115$	−22.0335	+	5.90385i	−2.05463	+	0.550537i
$116$		−	8.32140i		−	0.772623i
$117$	−3.29260	+	1.46928i	−0.304401	+	0.135835i
$118$			26.6760i			2.45573i
$119$	0.577799	+	3.11865i	0.0529668	+	0.285886i
$120$	3.78457	−	6.55506i	0.345482	−	0.598393i
$121$	3.22177	−	1.86009i	0.292888	−	0.169099i
$122$	−8.16224	+	8.16224i	−0.738974	+	0.738974i
$123$	1.42770	−	5.32825i	0.128731	−	0.480432i
$124$	3.46654	−	12.9373i	0.311304	−	1.16180i
$125$	−24.0965	−	24.0965i	−2.15526	−	2.15526i
$126$	2.49843	+	5.23893i	0.222578	+	0.466721i
$127$	5.77265	+	3.33284i	0.512240	+	0.295742i	0.733754	−	0.679415i	$-0.237767\pi$
$127$	5.77265	+	3.33284i	0.512240	+	0.295742i	−0.221514	+	0.975157i	$0.571100\pi$
$128$	−3.38658	−	12.6389i	−0.299335	−	1.11713i
$129$	11.2966			0.994613
$130$	−27.1857	−	19.7166i	−2.38434	−	1.72926i
$131$			9.80212i			0.856415i	0.903680	+	0.428207i	$0.140855\pi$
$131$			9.80212i			0.856415i	−0.903680	+	0.428207i	$0.859145\pi$
$132$	1.96414	+	7.33026i	0.170956	+	0.638017i
$133$	4.27901	+	2.94129i	0.371038	+	0.255042i
$134$	−8.17300	+	4.71868i	−0.706039	+	0.407632i
$135$	−3.00219	−	3.00219i	−0.258388	−	0.258388i
$136$	2.06435	+	0.553140i	0.177016	+	0.0474314i
$137$	6.48757	+	1.73834i	0.554271	+	0.148516i	0.525073	−	0.851057i	$-0.324038\pi$
$137$	6.48757	+	1.73834i	0.554271	+	0.148516i	0.0291978	+	0.999574i	$0.490705\pi$
$138$	−8.33418	−	8.33418i	−0.709452	−	0.709452i
$139$	0.304839	−	0.175999i	0.0258561	−	0.0149280i	−0.487016	−	0.873393i	$-0.661915\pi$
$139$	0.304839	−	0.175999i	0.0258561	−	0.0149280i	0.512872	+	0.858465i	$0.328581\pi$
$140$	−17.8972	+	26.0371i	−1.51259	+	2.20053i
$141$	−1.09013	−	4.06841i	−0.0918052	−	0.342622i
$142$			6.78733i			0.569580i
$143$	9.60714	−	1.52991i	0.803389	−	0.127937i
$144$	−1.71432			−0.142860
$145$	−3.25111	−	12.1333i	−0.269990	−	1.00762i
$146$	12.8539	+	7.42121i	1.06380	+	0.614184i
$147$	−2.50773	−	6.53539i	−0.206834	−	0.539030i
$148$	−7.97395	−	7.97395i	−0.655455	−	0.655455i
$149$	3.05452	−	11.3996i	0.250236	−	0.933892i	−0.720443	−	0.693514i	$-0.756062\pi$
$149$	3.05452	−	11.3996i	0.250236	−	0.933892i	0.970679	−	0.240379i	$-0.0772716\pi$
$150$	7.39621	−	27.6030i	0.603898	−	2.25378i
$151$	−12.2745	+	12.2745i	−0.998884	+	0.998884i	−0.999999	−	0.00111530i	$-0.999645\pi$
$151$	−12.2745	+	12.2745i	−0.998884	+	0.998884i	0.00111530	+	0.999999i	$0.499645\pi$
$152$	3.03001	−	1.74938i	0.245766	−	0.141893i
$153$	0.599399	−	1.03819i	0.0484585	−	0.0839326i
$154$	−2.85288	−	15.3983i	−0.229891	−	1.24083i
$155$		−	20.2180i		−	1.62395i
$156$	1.05155	−	10.0865i	0.0841916	−	0.807564i
$157$			4.41109i			0.352043i	0.984386	+	0.176022i	$0.0563228\pi$
$157$			4.41109i			0.352043i	−0.984386	+	0.176022i	$0.943677\pi$
$158$	2.47702	−	0.663716i	0.197061	−	0.0528024i
$159$	9.57853	+	5.53017i	0.759627	+	0.438571i
$160$	−15.5529	−	26.9384i	−1.22956	−	2.12967i
$161$	9.23095	+	10.8095i	0.727501	+	0.851905i
$162$	0.567791	−	2.11902i	0.0446098	−	0.166486i
$163$	−0.610931	−	0.163698i	−0.0478518	−	0.0128219i	0.234814	−	0.972040i	$-0.424552\pi$
$163$	−0.610931	−	0.163698i	−0.0478518	−	0.0128219i	−0.282666	+	0.959219i	$0.591219\pi$
$164$	10.9709	+	10.9709i	0.856680	+	0.856680i
$165$	5.72775	+	9.92075i	0.445904	+	0.772329i
$166$	−5.02603	+	8.70534i	−0.390096	+	0.675665i
$167$	16.3769	−	4.38817i	1.26728	−	0.339567i	0.438292	−	0.898833i	$-0.355584\pi$
$167$	16.3769	−	4.38817i	1.26728	−	0.339567i	0.828988	+	0.559266i	$0.188917\pi$
$168$	−4.70218	−	0.370374i	−0.362781	−	0.0285750i
$169$	−12.7204	−	2.68145i	−0.978496	−	0.206266i
$170$	11.1658			0.856380
$171$	−0.507945	−	1.89568i	−0.0388435	−	0.144966i
$172$	−15.8867	+	27.5166i	−1.21135	+	2.09812i
$173$	−4.60670	−	7.97903i	−0.350241	−	0.606634i	0.636051	−	0.771647i	$-0.280567\pi$
$173$	−4.60670	−	7.97903i	−0.350241	−	0.606634i	−0.986291	+	0.165013i	$0.947234\pi$
$174$	4.58943	−	4.58943i	0.347924	−	0.347924i
$175$	−11.5065	+	32.4868i	−0.869812	+	2.45577i
$176$	4.46782	+	1.19715i	0.336774	+	0.0902384i
$177$	−8.59833	+	8.59833i	−0.646290	+	0.646290i
$178$	9.44515	−	5.45316i	0.707944	−	0.408732i
$179$	2.35631	+	1.36042i	0.176119	+	0.101682i	0.585468	−	0.810696i	$-0.300911\pi$
$179$	2.35631	+	1.36042i	0.176119	+	0.101682i	−0.409349	+	0.912378i	$0.634244\pi$
$180$	11.5349	−	3.09075i	0.859757	−	0.230371i
$181$	15.4525			1.14858			0.574288	−	0.818653i	$-0.305279\pi$
$181$	15.4525			1.14858			0.574288	+	0.818653i	$0.305279\pi$
$182$	−3.79771	+	20.5798i	−0.281505	+	1.52548i
$183$	−5.26177			−0.388962
$184$	9.25172	−	2.47899i	0.682046	−	0.182754i
$185$	−14.7420	−	8.51132i	−1.08386	−	0.625765i
$186$	9.04706	−	5.22332i	0.663362	−	0.382992i
$187$	−2.28713	+	2.28713i	−0.167252	+	0.167252i
$188$	11.4430	+	3.06614i	0.834566	+	0.223621i
$189$	−0.883331	+	2.49394i	−0.0642529	+	0.181407i
$190$	12.9256	−	12.9256i	0.937721	−	0.937721i
$191$	1.63770	+	2.83658i	0.118500	+	0.205248i	0.919173	−	0.393853i	$-0.128858\pi$
$191$	1.63770	+	2.83658i	0.118500	+	0.205248i	−0.800673	+	0.599101i	$0.795525\pi$
$192$	6.32186	−	10.9498i	0.456241	−	0.790232i
$193$	−5.44447	−	20.3190i	−0.391901	−	1.46260i	−0.826995	−	0.562210i	$-0.809951\pi$
$193$	−5.44447	−	20.3190i	−0.391901	−	1.46260i	0.435093	−	0.900385i	$-0.356715\pi$
$194$	−33.4958			−2.40486
$195$	−2.40745	−	15.1177i	−0.172401	−	1.08260i
$196$	19.4457	+	3.08247i	1.38898	+	0.220176i
$197$	20.1959	−	5.41149i	1.43890	−	0.385553i	0.546753	−	0.837294i	$-0.315864\pi$
$197$	20.1959	−	5.41149i	1.43890	−	0.385553i	0.892149	+	0.451741i	$0.149197\pi$
$198$	−2.95953	+	5.12605i	−0.210324	+	0.364293i
$199$	12.4685	+	21.5960i	0.883867	+	1.53090i	0.847007	+	0.531582i	$0.178402\pi$
$199$	12.4685	+	21.5960i	0.883867	+	1.53090i	0.0368601	+	0.999320i	$0.488264\pi$
$200$	16.4210	+	16.4210i	1.16114	+	1.16114i
$201$	−4.15530	−	1.11341i	−0.293092	−	0.0785339i
$202$	−0.911969	+	3.40352i	−0.0641659	+	0.239471i
$203$	−5.95251	+	5.08326i	−0.417784	+	0.356775i
$204$	1.68590	+	2.92006i	0.118036	+	0.204445i
$205$	20.2827	+	11.7102i	1.41660	+	0.817876i
$206$	−30.7253	+	8.23282i	−2.14073	+	0.573608i
$207$		−	5.37262i		−	0.373423i
$208$	−5.00364	−	3.62893i	−0.346940	−	0.251621i
$209$			5.29518i			0.366275i
$210$	−24.2307	+	4.48928i	−1.67208	+	0.309789i
$211$	5.46157	−	9.45972i	0.375990	−	0.651234i	−0.614485	−	0.788929i	$-0.710636\pi$
$211$	5.46157	−	9.45972i	0.375990	−	0.651234i	0.990475	+	0.137695i	$0.0439694\pi$
$212$	−26.9410	+	15.5544i	−1.85032	+	1.06828i
$213$	−2.18772	+	2.18772i	−0.149900	+	0.149900i
$214$	−2.16919	+	8.09554i	−0.148283	+	0.553400i
$215$	−12.4136	+	46.3283i	−0.846602	+	3.15956i
$216$	1.26060	+	1.26060i	0.0857731	+	0.0857731i
$217$	−11.3720	+	5.42325i	−0.771979	+	0.368154i
$218$	−25.7731	−	14.8801i	−1.74558	−	1.00781i
$219$	1.75109	+	6.53517i	0.118328	+	0.441606i
$220$	−32.2202			−2.17229
$221$	3.94716	−	1.76137i	0.265515	−	0.118483i
$222$		−	8.79560i		−	0.590322i
$223$	3.99267	+	14.9009i	0.267369	+	0.997835i	0.960784	+	0.277297i	$0.0894385\pi$
$223$	3.99267	+	14.9009i	0.267369	+	0.997835i	−0.693415	+	0.720538i	$0.743895\pi$
$224$	−10.9801	+	15.9739i	−0.733637	+	1.06730i
$225$	11.2811	−	6.51315i	0.752074	−	0.434210i
$226$	4.89819	+	4.89819i	0.325823	+	0.325823i
$227$	18.6556	+	4.99875i	1.23822	+	0.331779i	0.817773	−	0.575541i	$-0.195208\pi$
$227$	18.6556	+	4.99875i	1.23822	+	0.331779i	0.420442	+	0.907319i	$0.361875\pi$
$228$	5.33186	+	1.42867i	0.353111	+	0.0946159i
$229$	−12.6136	−	12.6136i	−0.833528	−	0.833528i	0.154470	−	0.987998i	$-0.450633\pi$
$229$	−12.6136	−	12.6136i	−0.833528	−	0.833528i	−0.987998	+	0.154470i	$0.950633\pi$
$230$	43.3373	−	25.0208i	2.85758	−	1.64982i
$231$	4.04369	−	5.88280i	0.266055	−	0.387060i
$232$	1.36512	+	5.09470i	0.0896245	+	0.334483i
$233$			24.9418i			1.63399i	0.576643	+	0.816996i	$0.304362\pi$
$233$			24.9418i			1.63399i	−0.576643	+	0.816996i	$0.695638\pi$
$234$	6.14285	−	4.98295i	0.401571	−	0.325745i
$235$	17.8827			1.16654
$236$	−8.85197	−	33.0360i	−0.576214	−	2.15046i
$237$	1.01234	+	0.584473i	0.0657584	+	0.0379656i
$238$	−2.99511	−	6.28042i	−0.194144	−	0.407099i
$239$	−4.67931	−	4.67931i	−0.302680	−	0.302680i	0.539382	−	0.842061i	$-0.318658\pi$
$239$	−4.67931	−	4.67931i	−0.302680	−	0.302680i	−0.842061	+	0.539382i	$0.818658\pi$
$240$	1.88383	−	7.03054i	0.121600	−	0.453819i
$241$	0.169033	−	0.630839i	0.0108884	−	0.0406359i	−0.960268	−	0.279080i	$-0.909971\pi$
$241$	0.169033	−	0.630839i	0.0108884	−	0.0406359i	0.971156	+	0.238444i	$0.0766373\pi$
$242$	−5.77086	+	5.77086i	−0.370965	+	0.370965i
$243$	0.866025	−	0.500000i	0.0555556	−	0.0320750i
$244$	7.39975	−	12.8167i	0.473721	−	0.820508i
$245$	29.5578	−	3.10279i	1.88838	−	0.198230i
$246$			12.1013i			0.771552i
$247$	2.53028	−	6.60821i	0.160998	−	0.420470i
$248$			8.48941i			0.539078i
$249$	−4.42595	+	1.18593i	−0.280483	+	0.0751553i
$250$	64.7428	+	37.3793i	4.09470	+	2.36407i
$251$	−9.89477	−	17.1382i	−0.624552	−	1.08176i	−0.988627	−	0.150386i	$-0.951948\pi$
$251$	−9.89477	−	17.1382i	−0.624552	−	1.08176i	0.364075	−	0.931370i	$-0.381385\pi$
$252$	−4.83254	−	5.65892i	−0.304422	−	0.356478i
$253$	−3.75182	+	14.0020i	−0.235875	+	0.880298i
$254$	−14.1247	−	3.78471i	−0.886265	−	0.237474i
$255$	3.59902	+	3.59902i	0.225379	+	0.225379i
$256$	1.70879	+	2.95971i	0.106799	+	0.184982i
$257$	7.97194	−	13.8078i	0.497276	−	0.861307i	−0.502719	−	0.864450i	$-0.667667\pi$
$257$	7.97194	−	13.8078i	0.497276	−	0.861307i	0.999995	+	0.00314245i	$0.00100027\pi$
$258$	−23.9378	+	6.41412i	−1.49030	+	0.399326i
$259$	−0.832955	+	10.5750i	−0.0517573	+	0.657097i
$260$	40.2098	+	15.3963i	2.49371	+	0.954838i
$261$	2.95857			0.183131
$262$	−5.56555	−	20.7709i	−0.343841	−	1.28323i
$263$	−0.217727	+	0.377114i	−0.0134256	+	0.0232538i	−0.872660	−	0.488328i	$-0.837607\pi$
$263$	−0.217727	+	0.377114i	−0.0134256	+	0.0232538i	0.859235	+	0.511582i	$0.170940\pi$
$264$	−2.40505	−	4.16566i	−0.148020	−	0.256379i
$265$	−33.2052	+	33.2052i	−2.03978	+	2.03978i
$266$	−10.7374	−	3.80308i	−0.658350	−	0.233182i
$267$	4.80209	+	1.28672i	0.293883	+	0.0787457i
$268$	8.55576	−	8.55576i	0.522626	−	0.522626i
$269$	−14.2630	+	8.23477i	−0.869633	+	0.502083i	−0.867226	−	0.497914i	$-0.834099\pi$
$269$	−14.2630	+	8.23477i	−0.869633	+	0.502083i	−0.00240680	+	0.999997i	$0.500766\pi$
$270$	8.06633	+	4.65710i	0.490901	+	0.283422i
$271$	22.4966	−	6.02794i	1.36657	−	0.366171i	0.500345	−	0.865826i	$-0.333207\pi$
$271$	22.4966	−	6.02794i	1.36657	−	0.366171i	0.866224	+	0.499655i	$0.166540\pi$
$272$	2.05512			0.124610
$273$	−7.85746	+	5.40928i	−0.475555	+	0.327384i
$274$	−14.7343			−0.890133
$275$	−33.9489	+	9.09658i	−2.04719	+	0.548544i
$276$	13.0867	+	7.55563i	0.787729	+	0.454796i
$277$	7.08167	−	4.08860i	0.425496	−	0.245660i	−0.271930	−	0.962317i	$-0.587662\pi$
$277$	7.08167	−	4.08860i	0.425496	−	0.245660i	0.697426	+	0.716657i	$0.254329\pi$
$278$	−0.546031	+	0.546031i	−0.0327488	+	0.0327488i
$279$	4.59969	+	1.23248i	0.275376	+	0.0737868i
$280$	6.68605	−	18.8770i	0.399568	−	1.12811i
$281$	3.14177	−	3.14177i	0.187422	−	0.187422i	−0.607159	−	0.794581i	$-0.707691\pi$
$281$	3.14177	−	3.14177i	0.187422	−	0.187422i	0.794581	+	0.607159i	$0.207691\pi$
$282$	4.62001	+	8.00209i	0.275117	+	0.476517i
$283$	−6.35147	+	11.0011i	−0.377555	+	0.653945i	−0.990706	−	0.136021i	$-0.956569\pi$
$283$	−6.35147	+	11.0011i	−0.377555	+	0.653945i	0.613151	+	0.789966i	$0.289902\pi$
$284$	−2.25226	−	8.40554i	−0.133647	−	0.498777i
$285$	8.33247			0.493573
$286$	−19.4891	+	8.69675i	−1.15241	+	0.514250i
$287$	1.14601	−	14.5495i	0.0676469	−	0.858827i
$288$	7.07671	−	1.89620i	0.416999	−	0.111735i
$289$	7.78144	−	13.4779i	0.457732	−	0.792815i
$290$	13.7783	+	23.8648i	0.809092	+	1.40139i
$291$	−10.7965	−	10.7965i	−0.632903	−	0.632903i
$292$	−18.3811	−	4.92520i	−1.07567	−	0.288226i
$293$	1.47718	−	5.51290i	0.0862977	−	0.322067i	−0.909259	−	0.416231i	$-0.863351\pi$
$293$	1.47718	−	5.51290i	0.0862977	−	0.322067i	0.995557	+	0.0941633i	$0.0300176\pi$
$294$	9.02467	+	12.4248i	0.526330	+	0.724627i
$295$	−25.8138	−	44.7109i	−1.50294	−	2.60317i
$296$	6.19009	+	3.57385i	0.359792	+	0.207726i
$297$	−2.60618	+	0.698323i	−0.151226	+	0.0405208i
$298$			25.8904i			1.49979i
$299$	11.3729	−	15.6812i	0.657714	−	0.906870i
$300$			36.6384i			2.11532i
$301$	29.3880	−	5.44478i	1.69389	−	0.313832i
$302$	19.0406	−	32.9793i	1.09566	−	1.89774i
$303$	−1.39099	+	0.803086i	−0.0799101	+	0.0461361i
$304$	2.37901	−	2.37901i	0.136446	−	0.136446i
$305$	5.78205	−	21.5789i	0.331079	−	1.23560i
$306$	−0.680666	+	2.54028i	−0.0389111	+	0.145218i
$307$	−10.2283	−	10.2283i	−0.583760	−	0.583760i	0.352174	−	0.935934i	$-0.385442\pi$
$307$	−10.2283	−	10.2283i	−0.583760	−	0.583760i	−0.935934	+	0.352174i	$0.885442\pi$
$308$	8.64271	+	18.1228i	0.492464	+	1.03264i
$309$	−12.5571	−	7.24987i	−0.714351	−	0.412431i
$310$	11.4796	+	42.8424i	0.651997	+	2.43328i
$311$	−14.6147			−0.828724			−0.414362	−	0.910112i	$-0.635995\pi$
$311$	−14.6147			−0.828724			−0.414362	+	0.910112i	$0.635995\pi$
$312$	1.01087	+	6.34785i	0.0572295	+	0.359376i
$313$		−	17.9984i		−	1.01733i	−0.860965	−	0.508665i	$-0.830139\pi$
$313$		−	17.9984i		−	1.01733i	0.860965	−	0.508665i	$-0.169861\pi$
$314$	−2.50457	−	9.34720i	−0.141341	−	0.527493i
$315$	−9.25714	−	6.36314i	−0.521581	−	0.358522i
$316$	−2.84734	+	1.64392i	−0.160176	+	0.0924775i
$317$	−12.0835	−	12.0835i	−0.678674	−	0.678674i	0.281026	−	0.959700i	$-0.409325\pi$
$317$	−12.0835	−	12.0835i	−0.678674	−	0.678674i	−0.959700	+	0.281026i	$0.909325\pi$
$318$	−23.4371	−	6.27995i	−1.31429	−	0.352162i
$319$	−7.71056	−	2.06604i	−0.431708	−	0.115676i
$320$	37.9588	+	37.9588i	2.12196	+	2.12196i
$321$	−3.30858	+	1.91021i	−0.184667	+	0.106617i
$322$	−25.6981	−	17.6643i	−1.43210	−	0.984391i
$323$	0.608923	+	2.27253i	0.0338814	+	0.126447i
$324$			2.81265i			0.156258i
$325$	46.7138	+	4.87009i	2.59122	+	0.270144i
$326$	1.38752			0.0768478
$327$	−3.51108	−	13.1035i	−0.194163	−	0.724627i
$328$	−8.51656	−	4.91704i	−0.470248	−	0.271498i
$329$	−4.79684	−	10.0585i	−0.264458	−	0.554541i
$330$	−17.7701	−	17.7701i	−0.978214	−	0.978214i
$331$	2.57122	−	9.59594i	0.141327	−	0.527441i	−0.858564	−	0.512706i	$-0.828643\pi$
$331$	2.57122	−	9.59594i	0.141327	−	0.527441i	0.999891	−	0.0147345i	$-0.00469030\pi$
$332$	3.33560	−	12.4486i	0.183065	−	0.683208i
$333$	2.83504	−	2.83504i	0.155359	−	0.155359i
$334$	−32.2114	+	18.5973i	−1.76253	+	1.01760i
$335$	9.13234	−	15.8177i	0.498953	−	0.864212i
$336$	−4.45976	+	0.826270i	−0.243300	+	0.0450767i
$337$			6.44780i			0.351234i	0.984459	+	0.175617i	$0.0561920\pi$
$337$			6.44780i			0.351234i	−0.984459	+	0.175617i	$0.943808\pi$
$338$	28.4774	−	1.54049i	1.54897	−	0.0837915i
$339$			3.15761i			0.171498i
$340$	−13.8280	+	3.70519i	−0.749926	+	0.200942i
$341$	−11.1269	−	6.42414i	−0.602558	−	0.347887i
$342$	2.15269	+	3.72857i	0.116404	+	0.201618i
$343$	−9.67375	−	15.7930i	−0.522334	−	0.852741i
$344$	5.21241	−	19.4530i	0.281034	−	1.04883i
$345$	22.0335	+	5.90385i	1.18624	+	0.317853i
$346$	14.2921	+	14.2921i	0.768349	+	0.768349i
$347$	6.00501	+	10.4010i	0.322366	+	0.558354i	0.980976	−	0.194131i	$-0.0621886\pi$
$347$	6.00501	+	10.4010i	0.322366	+	0.558354i	−0.658610	+	0.752484i	$0.728855\pi$
$348$	−4.16070	+	7.20655i	−0.223037	+	0.386311i
$349$	−24.5954	+	6.59031i	−1.31656	+	0.352771i	−0.847688	−	0.530495i	$-0.822006\pi$
$349$	−24.5954	+	6.59031i	−1.31656	+	0.352771i	−0.468872	+	0.883266i	$0.655339\pi$
$350$	5.93692	−	75.3736i	0.317342	−	4.02889i
$351$	3.58612	+	0.373866i	0.191413	+	0.0199555i
$352$	−19.7673			−1.05360
$353$	−2.43053	−	9.07084i	−0.129364	−	0.482792i	0.870594	−	0.492003i	$-0.163735\pi$
$353$	−2.43053	−	9.07084i	−0.129364	−	0.482792i	−0.999958	+	0.00921021i	$0.997068\pi$
$354$	13.3380	−	23.1021i	0.708907	−	1.22786i
$355$	−6.56796	−	11.3760i	−0.348591	−	0.603777i
$356$	−9.88750	+	9.88750i	−0.524036	+	0.524036i
$357$	1.05893	−	2.98973i	0.0560448	−	0.158233i
$358$	−5.76551	−	1.54486i	−0.304716	−	0.0816485i
$359$	−16.2790	+	16.2790i	−0.859171	+	0.859171i	−0.991240	−	0.132070i	$-0.957838\pi$
$359$	−16.2790	+	16.2790i	−0.859171	+	0.859171i	0.132070	+	0.991240i	$0.457838\pi$
$360$	−6.55506	+	3.78457i	−0.345482	+	0.199464i
$361$	−13.1189	−	7.57420i	−0.690469	−	0.398642i
$362$	−32.7442	+	8.77379i	−1.72100	+	0.461140i
$363$	−3.72018			−0.195259
$364$	−2.12591	−	26.7466i	−0.111428	−	1.40190i
$365$	−28.7254			−1.50356
$366$	11.1498	−	2.98759i	0.582810	−	0.156164i
$367$	−19.6200	−	11.3276i	−1.02416	−	0.591297i	−0.108851	−	0.994058i	$-0.534717\pi$
$367$	−19.6200	−	11.3276i	−1.02416	−	0.591297i	−0.915305	+	0.402761i	$0.868051\pi$
$368$	7.97642	−	4.60519i	0.415799	−	0.240062i
$369$	−3.90055	+	3.90055i	−0.203055	+	0.203055i
$370$	36.0714	+	9.66529i	1.87526	+	0.502475i
$371$	27.5838	+	9.76993i	1.43208	+	0.507230i
$372$	−9.47076	+	9.47076i	−0.491036	+	0.491036i
$373$	11.0535	+	19.1453i	0.572330	+	0.991305i	0.996326	+	0.0856409i	$0.0272938\pi$
$373$	11.0535	+	19.1453i	0.572330	+	0.991305i	−0.423996	+	0.905664i	$0.639373\pi$
$374$	3.54787	−	6.14510i	0.183456	−	0.317755i
$375$	8.81994	+	32.9164i	0.455460	+	1.69980i
$376$	−7.50885			−0.387240
$377$	8.63527	+	6.26280i	0.444739	+	0.322551i
$378$	0.455764	−	5.78626i	0.0234420	−	0.297613i
$379$	−1.03041	+	0.276097i	−0.0529284	+	0.0141821i	−0.285186	−	0.958472i	$-0.592055\pi$
$379$	−1.03041	+	0.276097i	−0.0529284	+	0.0141821i	0.232258	+	0.972654i	$0.425389\pi$
$380$	−11.7181	+	20.2964i	−0.601128	+	1.04118i
$381$	−3.33284	−	5.77265i	−0.170747	−	0.295742i
$382$	−5.08092	−	5.08092i	−0.259962	−	0.259962i
$383$	−12.0580	−	3.23092i	−0.616133	−	0.165092i	−0.0627635	−	0.998028i	$-0.519991\pi$
$383$	−12.0580	−	3.23092i	−0.616133	−	0.165092i	−0.553369	+	0.832936i	$0.686658\pi$
$384$	−3.38658	+	12.6389i	−0.172821	+	0.644977i
$385$	19.6822	+	23.0479i	1.00310	+	1.17463i
$386$	23.0739	+	39.9652i	1.17443	+	2.03417i
$387$	−9.78317	−	5.64832i	−0.497307	−	0.287120i
$388$	41.4818	−	11.1150i	2.10592	−	0.564279i
$389$			19.0137i			0.964031i	0.876163	+	0.482015i	$0.160095\pi$
$389$			19.0137i			0.964031i	−0.876163	+	0.482015i	$0.839905\pi$
$390$	13.6852	+	30.6679i	0.692975	+	1.55293i
$391$			6.44068i			0.325719i
$392$	−12.4111	+	1.30284i	−0.626856	+	0.0658035i
$393$	4.90106	−	8.48888i	0.247226	−	0.428207i
$394$	−39.7231	+	22.9341i	−2.00122	+	1.15541i
$395$	−3.50940	+	3.50940i	−0.176577	+	0.176577i
$396$	1.96414	−	7.33026i	0.0987015	−	0.368359i
$397$	0.702815	−	2.62294i	0.0352733	−	0.131642i	−0.946044	−	0.324038i	$-0.894959\pi$
$397$	0.702815	−	2.62294i	0.0352733	−	0.131642i	0.981317	+	0.192397i	$0.0616260\pi$
$398$	−38.6830	−	38.6830i	−1.93900	−	1.93900i
$399$	−2.23509	−	4.68674i	−0.111894	−	0.234630i
$400$	19.3394	+	11.1656i	0.966970	+	0.558281i
$401$	0.821135	+	3.06452i	0.0410055	+	0.153035i	0.983393	−	0.181488i	$-0.0580915\pi$
$401$	0.821135	+	3.06452i	0.0410055	+	0.153035i	−0.942388	+	0.334523i	$0.891425\pi$
$402$	9.43736			0.470693
$403$	10.8163	+	13.3341i	0.538799	+	0.664218i
$404$		−	4.51759i		−	0.224759i
$405$	1.09888	+	4.10107i	0.0546037	+	0.203784i
$406$	9.72728	−	14.1513i	0.482757	−	0.702318i
$407$	−9.36838	+	5.40884i	−0.464373	+	0.268106i
$408$	−1.51121	−	1.51121i	−0.0748159	−	0.0748159i
$409$	2.97815	+	0.797992i	0.147260	+	0.0394582i	0.331696	−	0.943386i	$-0.392379\pi$
$409$	2.97815	+	0.797992i	0.147260	+	0.0394582i	−0.184436	+	0.982845i	$0.559046\pi$
$410$	−49.6284	−	13.2979i	−2.45097	−	0.656735i
$411$	−4.74923	−	4.74923i	−0.234262	−	0.234262i
$412$	35.3188	−	20.3913i	1.74003	−	1.00461i
$413$	−18.2241	+	26.5126i	−0.896751	+	1.30460i
$414$	3.05052	+	11.3847i	0.149925	+	0.559527i
$415$		−	19.4543i		−	0.954976i
$416$	24.6690	+	9.44572i	1.20950	+	0.463115i
$417$	−0.351998			−0.0172374
$418$	−3.00655	−	11.2206i	−0.147055	−	0.548818i
$419$	29.0623	+	16.7791i	1.41979	+	0.819715i	0.996280	−	0.0861779i	$-0.0274653\pi$
$419$	29.0623	+	16.7791i	1.41979	+	0.819715i	0.423508	+	0.905893i	$0.360799\pi$
$420$	28.5180	−	13.6001i	1.39154	−	0.663618i
$421$	18.2634	+	18.2634i	0.890104	+	0.890104i	0.994532	−	0.104429i	$-0.0333014\pi$
$421$	18.2634	+	18.2634i	0.890104	+	0.890104i	−0.104429	+	0.994532i	$0.533301\pi$
$422$	−6.20205	+	23.1464i	−0.301911	+	1.12675i
$423$	−1.09013	+	4.06841i	−0.0530038	+	0.197813i
$424$	13.9427	−	13.9427i	0.677116	−	0.677116i
$425$	−13.5238	+	7.80795i	−0.655999	+	0.378741i
$426$	3.39366	−	5.87800i	0.164424	−	0.284790i
$427$	−13.6884	+	2.53608i	−0.662428	+	0.122730i
$428$		−	10.7455i		−	0.519402i
$429$	−9.08498	−	3.47863i	−0.438627	−	0.167950i
$430$		−	105.219i		−	5.07411i
$431$	−16.9380	+	4.53851i	−0.815873	+	0.218612i	−0.642541	−	0.766251i	$-0.722120\pi$
$431$	−16.9380	+	4.53851i	−0.815873	+	0.218612i	−0.173331	+	0.984864i	$0.555453\pi$
$432$	1.48464	+	0.857159i	0.0714299	+	0.0412401i
$433$	17.6656	+	30.5978i	0.848957	+	1.47044i	0.882140	+	0.470987i	$0.156102\pi$
$433$	17.6656	+	30.5978i	0.848957	+	1.47044i	−0.0331835	+	0.999449i	$0.510565\pi$
$434$	21.0182	−	17.9489i	1.00890	−	0.861574i
$435$	−3.25111	+	12.1333i	−0.155879	+	0.581747i
$436$	36.8556	+	9.87543i	1.76506	+	0.472947i
$437$	7.45575	+	7.45575i	0.356657	+	0.356657i
$438$	−7.42121	−	12.8539i	−0.354599	−	0.614184i
$439$	9.35887	−	16.2100i	0.446674	−	0.773663i	−0.551493	−	0.834180i	$-0.685942\pi$
$439$	9.35887	−	16.2100i	0.446674	−	0.773663i	0.998167	+	0.0605168i	$0.0192749\pi$
$440$	19.7265	−	5.28570i	0.940425	−	0.251986i
$441$	−1.09593	+	6.91368i	−0.0521873	+	0.329223i
$442$	−7.36404	+	5.97354i	−0.350272	+	0.284133i
$443$	30.4948			1.44885			0.724426	−	0.689353i	$-0.242105\pi$
$443$	30.4948			1.44885			0.724426	+	0.689353i	$0.242105\pi$
$444$	2.91867	+	10.8926i	0.138514	+	0.516941i
$445$	−10.5538	+	18.2798i	−0.500299	+	0.866544i
$446$	−16.9211	−	29.3083i	−0.801239	−	1.38779i
$447$	−8.34509	+	8.34509i	−0.394709	+	0.394709i
$448$	11.1686	−	31.5326i	0.527666	−	1.48978i
$449$	−19.0888	−	5.11484i	−0.900859	−	0.241384i	−0.221474	−	0.975166i	$-0.571087\pi$
$449$	−19.0888	−	5.11484i	−0.900859	−	0.241384i	−0.679385	+	0.733782i	$0.737753\pi$
$450$	−20.2068	+	20.2068i	−0.952559	+	0.952559i
$451$	12.8894	−	7.44168i	0.606937	−	0.350415i
$452$	−7.69138	−	4.44062i	−0.361772	−	0.208869i
$453$	16.7673	−	4.49278i	0.787795	−	0.211089i
$454$	−42.3699			−1.98852
$455$	−13.5494	−	38.1681i	−0.635207	−	1.78935i
$456$	−3.49875			−0.163844
$457$	7.87442	−	2.10994i	0.368350	−	0.0986990i	−0.0698958	−	0.997554i	$-0.522267\pi$
$457$	7.87442	−	2.10994i	0.368350	−	0.0986990i	0.438246	+	0.898855i	$0.355600\pi$
$458$	33.8903	+	19.5666i	1.58359	+	0.914286i
$459$	−1.03819	+	0.599399i	−0.0484585	+	0.0279775i
$460$	−45.3669	+	45.3669i	−2.11524	+	2.11524i
$461$	−32.2015	−	8.62836i	−1.49977	−	0.401863i	−0.586748	−	0.809769i	$-0.699592\pi$
$461$	−32.2015	−	8.62836i	−1.49977	−	0.401863i	−0.913024	+	0.407907i	$0.866259\pi$
$462$	−5.22848	+	14.7618i	−0.243251	+	0.686779i
$463$	1.66118	−	1.66118i	0.0772018	−	0.0772018i	−0.667452	−	0.744653i	$-0.732615\pi$
$463$	1.66118	−	1.66118i	0.0772018	−	0.0772018i	0.744653	+	0.667452i	$0.232615\pi$
$464$	2.53596	+	4.39242i	0.117729	+	0.203913i
$465$	−10.1090	+	17.5093i	−0.468794	+	0.811974i
$466$	−14.1617	−	52.8523i	−0.656029	−	2.44833i
$467$	12.2930			0.568854			0.284427	−	0.958698i	$-0.408197\pi$
$467$	12.2930			0.568854			0.284427	+	0.958698i	$0.408197\pi$
$468$	−5.95391	+	8.20936i	−0.275219	+	0.379478i
$469$	−11.3466	−	0.893731i	−0.523936	−	0.0412687i
$470$	−37.8939	+	10.1537i	−1.74792	+	0.468353i
$471$	2.20554	−	3.82011i	0.101626	−	0.176022i
$472$	10.8391	+	18.7738i	0.498908	+	0.864135i
$473$	21.5523	+	21.5523i	0.990978	+	0.990978i
$474$	−2.47702	−	0.663716i	−0.113773	−	0.0304855i
$475$	−6.61664	+	24.6937i	−0.303592	+	1.13302i
$476$	5.79324	+	6.78390i	0.265533	+	0.310939i
$477$	−5.53017	−	9.57853i	−0.253209	−	0.438571i
$478$	12.5724	+	7.25871i	0.575050	+	0.332005i
$479$	−22.8035	+	6.11018i	−1.04192	+	0.279181i	−0.738908	−	0.673806i	$-0.764658\pi$
$479$	−22.8035	+	6.11018i	−1.04192	+	0.279181i	−0.303010	+	0.952987i	$0.597992\pi$
$480$			31.1058i			1.41978i
$481$	14.2760	−	2.27341i	0.650930	−	0.103659i
$482$			1.43274i			0.0652594i
$483$	−2.58951	−	13.9768i	−0.117827	−	0.635964i
$484$	5.23177	−	9.06169i	0.237808	−	0.411895i
$485$	56.1413	−	32.4132i	2.54925	−	1.47181i
$486$	−1.55123	+	1.55123i	−0.0703653	+	0.0703653i
$487$	−2.73616	+	10.2115i	−0.123987	+	0.462726i	−0.999802	−	0.0199217i	$-0.993658\pi$
$487$	−2.73616	+	10.2115i	−0.123987	+	0.462726i	0.875814	+	0.482648i	$0.160325\pi$
$488$	−2.42785	+	9.06085i	−0.109903	+	0.410165i
$489$	0.447232	+	0.447232i	0.0202245	+	0.0202245i
$490$	−60.8719	+	23.3575i	−2.74991	+	1.05518i
$491$	9.46863	+	5.46672i	0.427313	+	0.246710i	0.698201	−	0.715901i	$-0.253984\pi$
$491$	9.46863	+	5.46672i	0.427313	+	0.246710i	−0.270888	+	0.962611i	$0.587317\pi$
$492$	−4.01561	−	14.9865i	−0.181038	−	0.675643i
$493$	−3.54672			−0.159736
$494$	−1.60964	+	15.4396i	−0.0724210	+	0.694661i
$495$		−	11.4555i		−	0.514886i
$496$	2.11287	+	7.88533i	0.0948705	+	0.354062i
$497$	−4.63687	+	6.74575i	−0.207992	+	0.302588i
$498$	8.70534	−	5.02603i	0.390096	−	0.225222i
$499$	−21.1483	−	21.1483i	−0.946727	−	0.946727i	0.0519238	−	0.998651i	$-0.483465\pi$
$499$	−21.1483	−	21.1483i	−0.946727	−	0.946727i	−0.998651	+	0.0519238i	$0.983465\pi$
$500$	−92.5823	−	24.8073i	−4.14041	−	1.10942i
$501$	−16.3769	−	4.38817i	−0.731664	−	0.196049i
$502$	30.6982	+	30.6982i	1.37013	+	1.37013i
$503$	6.00891	−	3.46924i	0.267924	−	0.154686i	−0.360020	−	0.932945i	$-0.617230\pi$
$503$	6.00891	−	3.46924i	0.267924	−	0.154686i	0.627944	+	0.778259i	$0.283897\pi$
$504$	3.88702	+	2.67184i	0.173141	+	0.119013i
$505$	−1.76499	−	6.58703i	−0.0785409	−	0.293119i
$506$		−	31.8008i		−	1.41372i
$507$	9.67550	+	8.68243i	0.429704	+	0.385600i
$508$	18.7482			0.831817
$509$	2.48325	+	9.26762i	0.110068	+	0.410780i	0.998871	−	0.0475103i	$-0.0151287\pi$
$509$	2.48325	+	9.26762i	0.110068	+	0.410780i	−0.888803	+	0.458290i	$0.848462\pi$
$510$	−9.66990	−	5.58292i	−0.428190	−	0.247216i
$511$	7.70526	+	16.1571i	0.340861	+	0.714748i
$512$	13.2032	+	13.2032i	0.583504	+	0.583504i
$513$	−0.507945	+	1.89568i	−0.0224263	+	0.0836961i
$514$	−9.05279	+	33.7855i	−0.399301	+	1.49021i
$515$	43.5310	−	43.5310i	1.91821	−	1.91821i
$516$	27.5166	−	15.8867i	1.21135	−	0.699374i
$517$	5.68213	−	9.84174i	0.249900	−	0.432839i
$518$	−4.23932	−	22.8816i	−0.186265	−	1.00536i
$519$			9.21339i			0.404423i
$520$	−27.1438	−	2.82984i	−1.19033	−	0.124097i
$521$		−	17.8193i		−	0.780676i	−0.920672	−	0.390338i	$-0.872358\pi$
$521$		−	17.8193i		−	0.780676i	0.920672	−	0.390338i	$-0.127642\pi$
$522$	−6.26927	+	1.67985i	−0.274399	+	0.0735249i
$523$	−6.40070	−	3.69545i	−0.279883	−	0.161591i	0.353487	−	0.935439i	$-0.384996\pi$
$523$	−6.40070	−	3.69545i	−0.279883	−	0.161591i	−0.633370	+	0.773849i	$0.718329\pi$
$524$	13.7849	+	23.8762i	0.602198	+	1.04304i
$525$	26.2084	−	22.3811i	1.14383	−	0.976793i
$526$	0.247246	−	0.922736i	0.0107805	−	0.0402332i
$527$	−5.51410	−	1.47750i	−0.240198	−	0.0643608i
$528$	−3.27067	−	3.27067i	−0.142338	−	0.142338i
$529$	2.93251	+	5.07925i	0.127500	+	0.220837i
$530$	51.5090	−	89.2163i	2.23741	−	3.87531i
$531$	11.7455	−	3.14721i	0.509713	−	0.136577i
$532$	14.5593	+	1.14679i	0.631227	+	0.0497196i
$533$	−19.6415	+	3.12785i	−0.850767	+	0.135482i
$534$	−10.9063			−0.471963
$535$	−4.19817	−	15.6678i	−0.181503	−	0.677377i
$536$	−3.83461	+	6.64175i	−0.165630	+	0.286880i
$537$	−1.36042	−	2.35631i	−0.0587063	−	0.101682i
$538$	25.5481	−	25.5481i	1.10146	−	1.10146i
$539$	7.68418	−	17.2530i	0.330981	−	0.743138i
$540$	−11.5349	−	3.09075i	−0.496381	−	0.133005i
$541$	−17.3442	+	17.3442i	−0.745687	+	0.745687i	−0.973666	−	0.227979i	$-0.926788\pi$
$541$	−17.3442	+	17.3442i	−0.745687	+	0.745687i	0.227979	+	0.973666i	$0.426788\pi$
$542$	−44.2481	+	25.5467i	−1.90062	+	1.09732i
$543$	−13.3823	−	7.72625i	−0.574288	−	0.331565i
$544$	−8.48354	+	2.27316i	−0.363729	+	0.0974608i
$545$	57.5968			2.46718
$546$	13.5788	−	15.9238i	0.581119	−	0.681475i
$547$	26.8037			1.14604			0.573022	−	0.819540i	$-0.305771\pi$
$547$	26.8037			1.14604			0.573022	+	0.819540i	$0.305771\pi$
$548$	18.2472	−	4.88933i	0.779483	−	0.208862i
$549$	4.55683	+	2.63089i	0.194481	+	0.112284i
$550$	66.7735	−	38.5517i	2.84723	−	1.64385i
$551$	−4.10570	+	4.10570i	−0.174909	+	0.174909i
$552$	−9.25172	−	2.47899i	−0.393779	−	0.105513i
$553$	2.91528	+	1.03257i	0.123970	+	0.0439092i
$554$	−12.6847	+	12.6847i	−0.538923	+	0.538923i
$555$	8.51132	+	14.7420i	0.361285	+	0.625765i
$556$	0.495023	−	0.857405i	0.0209936	−	0.0363621i
$557$	−3.42508	−	12.7826i	−0.145125	−	0.541615i	−0.999750	−	0.0223686i	$-0.992879\pi$
$557$	−3.42508	−	12.7826i	−0.145125	−	0.541615i	0.854624	−	0.519247i	$-0.173787\pi$
$558$	−10.4466			−0.442242
$559$	−16.5979	−	37.1953i	−0.702017	−	1.57319i
$560$	1.51214	−	19.1978i	0.0638997	−	0.811254i
$561$	3.12428	−	0.837148i	0.131907	−	0.0353444i
$562$	−4.87361	+	8.44134i	−0.205581	+	0.356077i
$563$	8.52959	+	14.7737i	0.359479	+	0.622636i	0.987874	−	0.155258i	$-0.0496210\pi$
$563$	8.52959	+	14.7737i	0.359479	+	0.622636i	−0.628395	+	0.777895i	$0.716288\pi$
$564$	−8.37685	−	8.37685i	−0.352729	−	0.352729i
$565$	−12.9496	−	3.46983i	−0.544793	−	0.145977i
$566$	7.21260	−	26.9178i	0.303168	−	1.13144i
$567$	2.01196	−	1.71815i	0.0844942	−	0.0721554i
$568$	2.75784	+	4.77673i	0.115717	+	0.200427i
$569$	−26.6276	−	15.3735i	−1.11629	−	0.644489i	−0.175837	−	0.984419i	$-0.556263\pi$
$569$	−26.6276	−	15.3735i	−1.11629	−	0.644489i	−0.940450	+	0.339931i	$0.889596\pi$
$570$	−17.6567	+	4.73110i	−0.739557	+	0.198164i
$571$		−	4.14822i		−	0.173598i	−0.996226	−	0.0867988i	$-0.972336\pi$
$571$		−	4.14822i		−	0.173598i	0.996226	−	0.0867988i	$-0.0276637\pi$
$572$	21.2497	−	17.2373i	0.888496	−	0.720728i
$573$		−	3.27541i		−	0.136832i
$574$	5.83262	+	31.4813i	0.243449	+	1.31401i
$575$	−34.9927	+	60.6091i	−1.45930	+	2.52757i
$576$	−10.9498	+	6.32186i	−0.456241	+	0.263411i
$577$	−8.22860	+	8.22860i	−0.342561	+	0.342561i	−0.857329	−	0.514768i	$-0.827878\pi$
$577$	−8.22860	+	8.22860i	−0.342561	+	0.342561i	0.514768	+	0.857329i	$0.327878\pi$
$578$	−8.83646	+	32.9781i	−0.367548	+	1.37171i
$579$	−5.44447	+	20.3190i	−0.226264	+	0.844430i
$580$	−24.9824	−	24.9824i	−1.03734	−	1.03734i
$581$	−10.9424	+	5.21840i	−0.453968	+	0.216496i
$582$	29.0082	+	16.7479i	1.20243	+	0.694223i
$583$	7.72369	+	28.8252i	0.319883	+	1.19382i
$584$	12.0616			0.499113
$585$	−5.47396	+	14.2961i	−0.226320	+	0.591070i
$586$			12.5207i			0.517225i
$587$	−2.86420	−	10.6893i	−0.118218	−	0.441196i	0.881289	−	0.472577i	$-0.156676\pi$
$587$	−2.86420	−	10.6893i	−0.118218	−	0.441196i	−0.999508	+	0.0313808i	$0.990010\pi$
$588$	−15.2993	−	12.3924i	−0.630931	−	0.511052i
$589$	−8.09348	+	4.67278i	−0.333486	+	0.192538i
$590$	80.0865	+	80.0865i	3.29711	+	3.29711i
$591$	−20.1959	−	5.41149i	−0.830750	−	0.222599i
$592$	6.63909	+	1.77894i	0.272865	+	0.0731139i
$593$	9.97769	+	9.97769i	0.409734	+	0.409734i	0.881646	−	0.471911i	$-0.156436\pi$
$593$	9.97769	+	9.97769i	0.409734	+	0.409734i	−0.471911	+	0.881646i	$0.656436\pi$
$594$	5.12605	−	2.95953i	0.210324	−	0.121431i
$595$	11.0974	+	7.62811i	0.454951	+	0.312722i
$596$	−8.59127	−	32.0631i	−0.351912	−	1.31335i
$597$		−	24.9370i		−	1.02060i
$598$	−15.1959	+	39.6864i	−0.621406	+	1.62290i
$599$	34.7079			1.41813			0.709063	−	0.705145i	$-0.249118\pi$
$599$	34.7079			1.41813			0.709063	+	0.705145i	$0.249118\pi$
$600$	−6.01050	−	22.4315i	−0.245378	−	0.915761i
$601$	11.2636	+	6.50302i	0.459450	+	0.265264i	0.711813	−	0.702369i	$-0.247874\pi$
$601$	11.2636	+	6.50302i	0.459450	+	0.265264i	−0.252363	+	0.967633i	$0.581208\pi$
$602$	−59.1823	+	28.2238i	−2.41209	+	1.15032i
$603$	3.04189	+	3.04189i	0.123875	+	0.123875i
$604$	−12.6366	+	47.1604i	−0.514175	+	1.91893i
$605$	4.08802	−	15.2567i	0.166202	−	0.620273i
$606$	2.49155	−	2.49155i	0.101212	−	0.101212i
$607$	−18.9672	+	10.9507i	−0.769856	+	0.444477i	−0.832823	−	0.553539i	$-0.813277\pi$
$607$	−18.9672	+	10.9507i	−0.769856	+	0.444477i	0.0629670	+	0.998016i	$0.479944\pi$
$608$	−7.18915	+	12.4520i	−0.291559	+	0.504994i
$609$	7.69665	−	1.42598i	0.311884	−	0.0577835i
$610$			49.0092i			1.98432i
$611$	−11.7939	+	9.56698i	−0.477132	+	0.387039i
$612$		−	3.37179i		−	0.136297i
$613$	−10.3087	+	2.76221i	−0.416365	+	0.111565i	−0.460919	−	0.887442i	$-0.652480\pi$
$613$	−10.3087	+	2.76221i	−0.416365	+	0.111565i	0.0445537	+	0.999007i	$0.485813\pi$
$614$	27.4815	+	15.8665i	1.10906	+	0.640319i
$615$	−11.7102	−	20.2827i	−0.472201	−	0.817876i
$616$	−8.26445	−	9.67769i	−0.332984	−	0.389925i
$617$	5.78797	−	21.6010i	0.233015	−	0.869624i	−0.746019	−	0.665925i	$-0.768037\pi$
$617$	5.78797	−	21.6010i	0.233015	−	0.869624i	0.979034	−	0.203699i	$-0.0652963\pi$
$618$	30.7253	+	8.23282i	1.23595	+	0.331172i
$619$	−5.50453	−	5.50453i	−0.221246	−	0.221246i	0.587777	−	0.809023i	$-0.300003\pi$
$619$	−5.50453	−	5.50453i	−0.221246	−	0.221246i	−0.809023	+	0.587777i	$0.800003\pi$
$620$	−28.4330	−	49.2474i	−1.14190	−	1.97782i
$621$	−2.68631	+	4.65282i	−0.107798	+	0.186711i
$622$	30.9689	−	8.29810i	1.24174	−	0.332723i
$623$	13.1127	+	1.03284i	0.525349	+	0.0413800i
$624$	2.51881	+	5.64456i	0.100833	+	0.225963i
$625$	−79.5531			−3.18213
$626$	10.2193	+	38.1390i	0.408446	+	1.52434i
$627$	2.64759	−	4.58576i	0.105735	−	0.183138i
$628$	6.20341	+	10.7446i	0.247543	+	0.428757i
$629$	−3.39863	+	3.39863i	−0.135512	+	0.135512i
$630$	23.2290	+	8.22751i	0.925466	+	0.327792i
$631$	−20.7278	−	5.55399i	−0.825160	−	0.221101i	−0.178559	−	0.983929i	$-0.557143\pi$
$631$	−20.7278	−	5.55399i	−0.825160	−	0.221101i	−0.646601	+	0.762828i	$0.723810\pi$
$632$	1.47358	−	1.47358i	0.0586157	−	0.0586157i
$633$	−9.45972	+	5.46157i	−0.375990	+	0.217078i
$634$	32.4660	+	18.7442i	1.28939	+	0.744429i
$635$	27.3364	−	7.32477i	1.08481	−	0.290675i
$636$	31.1088			1.23354
$637$	−17.8339	+	17.8593i	−0.706603	+	0.707610i
$638$	17.5119			0.693304
$639$	2.98848	−	0.800761i	0.118223	−	0.0316776i
$640$	−48.1116	−	27.7772i	−1.90178	−	1.09799i
$641$	−40.6530	+	23.4710i	−1.60570	+	0.927050i	−0.615379	+	0.788231i	$0.710997\pi$
$641$	−40.6530	+	23.4710i	−1.60570	+	0.927050i	−0.990318	+	0.138818i	$0.955670\pi$
$642$	5.92635	−	5.92635i	0.233894	−	0.233894i
$643$	22.4152	+	6.00613i	0.883968	+	0.236859i	0.672118	−	0.740444i	$-0.265385\pi$
$643$	22.4152	+	6.00613i	0.883968	+	0.236859i	0.211850	+	0.977302i	$0.432051\pi$
$644$	37.6866	+	13.3482i	1.48506	+	0.525995i
$645$	33.9147	−	33.9147i	1.33539	−	1.33539i
$646$	−2.58064	−	4.46981i	−0.101534	−	0.175862i
$647$	−6.98028	+	12.0902i	−0.274423	+	0.475315i	−0.969989	−	0.243147i	$-0.921820\pi$
$647$	−6.98028	+	12.0902i	−0.274423	+	0.475315i	0.695566	+	0.718462i	$0.255154\pi$
$648$	−0.461412	−	1.72201i	−0.0181260	−	0.0676471i
$649$	−32.8087			−1.28786
$650$	−101.753	+	16.2038i	−3.99108	+	0.635567i
$651$	12.5600	+	0.989311i	0.492266	+	0.0387741i
$652$	−1.71833	+	0.460426i	−0.0672951	+	0.0180317i
$653$	−13.4921	+	23.3689i	−0.527985	+	0.914497i	0.471483	+	0.881875i	$0.343719\pi$
$653$	−13.4921	+	23.3689i	−0.527985	+	0.914497i	−0.999468	+	0.0326216i	$0.989614\pi$
$654$	14.8801	+	25.7731i	0.581859	+	1.00781i
$655$	29.4278	+	29.4278i	1.14984	+	1.14984i
$656$	−9.13431	−	2.44753i	−0.356635	−	0.0955601i
$657$	1.75109	−	6.53517i	0.0683166	−	0.254961i
$658$	15.8757	+	18.5905i	0.618900	+	0.724733i
$659$	2.76889	+	4.79586i	0.107861	+	0.186820i	0.914903	−	0.403673i	$-0.132267\pi$
$659$	2.76889	+	4.79586i	0.107861	+	0.186820i	−0.807043	+	0.590493i	$0.798933\pi$
$660$	27.9035	+	16.1101i	1.08614	+	0.627085i
$661$	36.8331	−	9.86941i	1.43264	−	0.383875i	0.542692	−	0.839932i	$-0.317405\pi$
$661$	36.8331	−	9.86941i	1.43264	−	0.383875i	0.889951	+	0.456057i	$0.150739\pi$
$662$			21.7939i			0.847046i
$663$	−4.29903	−	0.448190i	−0.166960	−	0.0174062i
$664$			8.16876i			0.317009i
$665$	21.6767	−	4.01610i	0.840588	−	0.155738i
$666$	−4.39780	+	7.61721i	−0.170411	+	0.295161i
$667$	−13.7657	+	7.94763i	−0.533010	+	0.307733i
$668$	33.7200	−	33.7200i	1.30466	−	1.30466i
$669$	3.99267	−	14.9009i	0.154366	−	0.576100i
$670$	−10.3705	+	38.7033i	−0.400648	+	1.49524i
$671$	−10.0387	−	10.0387i	−0.387540	−	0.387540i
$672$	17.4960	−	8.34376i	0.674922	−	0.321868i
$673$	5.72219	+	3.30371i	0.220574	+	0.127349i	0.606216	−	0.795300i	$-0.292687\pi$
$673$	5.72219	+	3.30371i	0.220574	+	0.127349i	−0.385642	+	0.922649i	$0.626020\pi$
$674$	−3.66100	−	13.6630i	−0.141016	−	0.526281i
$675$	−13.0263			−0.501383
$676$	−34.7557	+	11.3575i	−1.33676	+	0.436827i
$677$			21.3320i			0.819855i	0.912118	+	0.409928i	$0.134446\pi$
$677$			21.3320i			0.819855i	−0.912118	+	0.409928i	$0.865554\pi$
$678$	−1.79286	−	6.69105i	−0.0688544	−	0.256968i
$679$	−33.2906	−	22.8832i	−1.27758	−	0.878176i
$680$	7.85819	−	4.53693i	0.301348	−	0.173983i
$681$	−13.6568	−	13.6568i	−0.523331	−	0.523331i
$682$	27.2258	+	7.29513i	1.04253	+	0.279345i
$683$	−1.32430	−	0.354846i	−0.0506730	−	0.0135778i	0.233393	−	0.972382i	$-0.425017\pi$
$683$	−1.32430	−	0.354846i	−0.0506730	−	0.0135778i	−0.284067	+	0.958805i	$0.591684\pi$
$684$	−3.90319	−	3.90319i	−0.149242	−	0.149242i
$685$	24.6958	−	14.2581i	0.943576	−	0.544774i
$686$	29.4660	+	27.9730i	1.12502	+	1.06802i
$687$	4.61689	+	17.2305i	0.176145	+	0.657383i
$688$		−	19.3660i		−	0.738323i
$689$	4.13508	−	39.6636i	0.157534	−	1.51106i
$690$	−50.0416			−1.90505
$691$	8.87327	+	33.1155i	0.337555	+	1.25977i	0.901072	+	0.433669i	$0.142781\pi$
$691$	8.87327	+	33.1155i	0.337555	+	1.25977i	−0.563517	+	0.826104i	$0.690552\pi$
$692$	−22.4422	−	12.9570i	−0.853124	−	0.492551i
$693$	−6.44334	+	3.07281i	−0.244762	+	0.116726i
$694$	−18.6303	−	18.6303i	−0.707197	−	0.707197i
$695$	0.386803	−	1.44357i	0.0146723	−	0.0547577i
$696$	1.36512	−	5.09470i	0.0517447	−	0.193114i
$697$	4.67597	−	4.67597i	0.177115	−	0.177115i
$698$	48.3762	−	27.9300i	1.83107	−	1.05717i
$699$	12.4709	−	21.6002i	0.471693	−	0.816996i
$700$	17.6590	+	95.3140i	0.667449	+	3.60253i
$701$		−	42.5906i		−	1.60862i	−0.594208	−	0.804312i	$-0.702534\pi$
$701$		−	42.5906i		−	1.60862i	0.594208	−	0.804312i	$-0.297466\pi$
$702$	−7.81134	+	1.24393i	−0.294820	+	0.0469492i
$703$			7.86853i			0.296767i
$704$	32.9518	−	8.82940i	1.24192	−	0.332771i
$705$	−15.4869	−	8.94137i	−0.583271	−	0.336751i
$706$	10.3007	+	17.8413i	0.387671	+	0.671466i
$707$	−3.23155	+	2.75964i	−0.121535	+	0.103787i
$708$	−8.85197	+	33.0360i	−0.332678	+	1.24157i
$709$	37.3239	+	10.0009i	1.40173	+	0.375592i	0.878965	−	0.476886i	$-0.158234\pi$
$709$	37.3239	+	10.0009i	1.40173	+	0.375592i	0.522764	+	0.852478i	$0.324901\pi$
$710$	20.3769	+	20.3769i	0.764730	+	0.764730i
$711$	−0.584473	−	1.01234i	−0.0219195	−	0.0379656i
$712$	4.43148	−	7.67556i	0.166077	−	0.287654i
$713$	−24.7124	+	6.62166i	−0.925486	+	0.247983i
$714$	−0.546369	+	6.93655i	−0.0204473	+	0.259594i
$715$	24.2494	−	33.4355i	0.906876	−	1.25042i
$716$	7.65273			0.285996
$717$	1.71275	+	6.39206i	0.0639637	+	0.238716i
$718$	25.2525	−	43.7385i	0.942413	−	1.63231i
$719$	25.0297	+	43.3527i	0.933450	+	1.61678i	0.777375	+	0.629038i	$0.216551\pi$
$719$	25.0297	+	43.3527i	0.933450	+	1.61678i	0.156076	+	0.987745i	$0.450116\pi$
$720$	−5.14671	+	5.14671i	−0.191807	+	0.191807i
$721$	−36.1615	−	12.8081i	−1.34672	−	0.476997i
$722$	32.0998	+	8.60112i	1.19463	+	0.320101i
$723$	−0.461806	+	0.461806i	−0.0171748	+	0.0171748i
$724$	37.6396	−	21.7312i	1.39886	−	0.807634i
$725$	−33.3759	−	19.2696i	−1.23955	−	0.715655i
$726$	7.88314	−	2.11228i	0.292571	−	0.0783941i
$727$	5.22923			0.193941			0.0969707	−	0.995287i	$-0.469085\pi$
$727$	5.22923			0.193941			0.0969707	+	0.995287i	$0.469085\pi$
$728$	5.68932	+	16.0266i	0.210860	+	0.593984i
$729$	−1.00000			−0.0370370
$730$	60.8698	−	16.3100i	2.25289	−	0.603661i
$731$	11.7280	+	6.77119i	0.433777	+	0.250442i
$732$	−12.8167	+	7.39975i	−0.473721	+	0.273503i
$733$	−10.0406	+	10.0406i	−0.370858	+	0.370858i	−0.867790	−	0.496932i	$-0.834460\pi$
$733$	−10.0406	+	10.0406i	−0.370858	+	0.370858i	0.496932	+	0.867790i	$0.334460\pi$
$734$	48.0070	+	12.8634i	1.77197	+	0.474798i
$735$	−27.1492	−	12.0918i	−1.00141	−	0.446012i
$736$	−27.8329	+	27.8329i	−1.02593	+	1.02593i
$737$	−5.80349	−	10.0519i	−0.213774	−	0.370268i
$738$	6.05066	−	10.4801i	0.222728	−	0.385776i
$739$	−1.48318	−	5.53532i	−0.0545598	−	0.203620i	0.933265	−	0.359187i	$-0.116946\pi$
$739$	−1.48318	−	5.53532i	−0.0545598	−	0.203620i	−0.987825	+	0.155567i	$0.950279\pi$
$740$	−47.8786			−1.76005
$741$	−5.49539	+	4.45774i	−0.201878	+	0.163759i
$742$	−63.9979	−	5.04090i	−2.34944	−	0.185057i
$743$	0.617584	−	0.165481i	0.0226569	−	0.00607091i	−0.247473	−	0.968895i	$-0.579600\pi$
$743$	0.617584	−	0.165481i	0.0226569	−	0.00607091i	0.270130	+	0.962824i	$0.412933\pi$
$744$	4.24471	−	7.35205i	0.155618	−	0.269539i
$745$	−25.0536	−	43.3941i	−0.917892	−	1.58984i
$746$	−34.2932	−	34.2932i	−1.25556	−	1.25556i
$747$	4.42595	+	1.18593i	0.161937	+	0.0433909i
$748$	−2.35460	+	8.78749i	−0.0860928	+	0.321303i
$749$	−7.68650	+	6.56404i	−0.280859	+	0.239845i
$750$	−37.3793	−	64.7428i	−1.36490	−	2.36407i
$751$	−22.0888	−	12.7530i	−0.806031	−	0.465362i	0.0395448	−	0.999218i	$-0.487409\pi$
$751$	−22.0888	−	12.7530i	−0.806031	−	0.465362i	−0.845576	+	0.533856i	$0.820743\pi$
$752$	−6.97454	+	1.86882i	−0.254335	+	0.0681490i
$753$			19.7895i			0.721171i
$754$	−21.8543	−	8.36799i	−0.795887	−	0.304744i
$755$			73.7008i			2.68225i
$756$	1.35564	+	7.31704i	0.0493043	+	0.266118i
$757$	8.06785	−	13.9739i	0.293231	−	0.507891i	−0.681341	−	0.731966i	$-0.738603\pi$
$757$	8.06785	−	13.9739i	0.293231	−	0.507891i	0.974572	+	0.224075i	$0.0719362\pi$
$758$	2.02669	−	1.17011i	0.0736127	−	0.0425003i
$759$	10.2502	−	10.2502i	0.372058	−	0.372058i
$760$	3.84470	−	14.3486i	0.139462	−	0.520479i
$761$	−6.42639	+	23.9836i	−0.232957	+	0.869406i	0.746103	+	0.665831i	$0.231923\pi$
$761$	−6.42639	+	23.9836i	−0.232957	+	0.869406i	−0.979059	+	0.203575i	$0.934744\pi$
$762$	10.3400	+	10.3400i	0.374580	+	0.374580i
$763$	−15.4497	−	32.3963i	−0.559316	−	1.17283i
$764$	7.97831	+	4.60628i	0.288645	+	0.166649i
$765$	−1.31733	−	4.91635i	−0.0476283	−	0.177751i
$766$	27.3856			0.989481
$767$	40.9442	+	15.6775i	1.47841	+	0.566082i
$768$		−	3.41758i		−	0.123321i
$769$	−3.09729	−	11.5592i	−0.111691	−	0.416837i	0.887327	−	0.461141i	$-0.152560\pi$
$769$	−3.09729	−	11.5592i	−0.111691	−	0.416837i	−0.999018	+	0.0443040i	$0.985893\pi$
$770$	−54.7935	−	37.6637i	−1.97462	−	1.35731i
$771$	−13.8078	+	7.97194i	−0.497276	+	0.287102i
$772$	−41.8368	−	41.8368i	−1.50574	−	1.50574i
$773$	1.00730	+	0.269904i	0.0362299	+	0.00970777i	0.276888	−	0.960902i	$-0.410697\pi$
$773$	1.00730	+	0.269904i	0.0362299	+	0.00970777i	−0.240659	+	0.970610i	$0.577363\pi$
$774$	23.9378	+	6.41412i	0.860428	+	0.230551i
$775$	−43.8623	−	43.8623i	−1.57558	−	1.57558i
$776$	−23.5734	+	13.6101i	−0.846235	+	0.488574i
$777$	6.00885	−	8.74172i	0.215566	−	0.313608i
$778$	−10.7958	−	40.2904i	−0.387047	−	1.44448i
$779$		−	10.8258i		−	0.387875i
$780$	−27.1246	−	33.4385i	−0.971215	−	1.19729i
$781$	−8.34771			−0.298704
$782$	−3.65696	−	13.6480i	−0.130773	−	0.488050i
$783$	−2.56220	−	1.47928i	−0.0915654	−	0.0528653i
$784$	−11.2037	+	4.29905i	−0.400133	+	0.153538i
$785$	13.2429	+	13.2429i	0.472660	+	0.472660i
$786$	−5.56555	+	20.7709i	−0.198517	+	0.740874i
$787$	12.4106	−	46.3169i	0.442389	−	1.65102i	−0.280349	−	0.959898i	$-0.590450\pi$
$787$	12.4106	−	46.3169i	0.442389	−	1.65102i	0.722738	−	0.691122i	$-0.242883\pi$
$788$	41.5834	−	41.5834i	1.48135	−	1.48135i
$789$	0.377114	−	0.217727i	0.0134256	−	0.00775128i
$790$	5.44390	−	9.42910i	0.193685	−	0.335472i
$791$	1.52191	+	8.21446i	0.0541129	+	0.292072i
$792$			4.81009i			0.170919i
$793$	7.73102	+	17.3249i	0.274537	+	0.615226i
$794$			5.95712i			0.211410i
$795$	45.3592	−	12.1540i	1.60872	−	0.431057i
$796$	60.7420	+	35.0694i	2.15294	+	1.24300i
$797$	−22.8940	−	39.6535i	−0.810946	−	1.40460i	−0.912203	−	0.409739i	$-0.865620\pi$
$797$	−22.8940	−	39.6535i	−0.810946	−	1.40460i	0.101257	−	0.994860i	$-0.467713\pi$
$798$	7.39729	+	8.66225i	0.261861	+	0.306640i
$799$	1.30684	−	4.87720i	0.0462327	−	0.172543i
$800$	−92.1834	−	24.7005i	−3.25917	−	0.873293i
$801$	−3.51537	−	3.51537i	−0.124210	−	0.124210i
$802$	−3.48001	−	6.02755i	−0.122883	−	0.212840i
$803$	−9.12732	+	15.8090i	−0.322096	+	0.557887i
$804$	−11.6874	+	3.13163i	−0.412182	+	0.110444i
$805$	60.1652	+	4.73901i	2.12054	+	0.167028i
$806$	−30.4910	−	22.1138i	−1.07400	−	0.778926i
$807$	16.4695			0.579755
$808$	0.741108	+	2.76585i	0.0260721	+	0.0973023i
$809$	−14.8591	+	25.7367i	−0.522418	+	0.904855i	0.477241	+	0.878772i	$0.341637\pi$
$809$	−14.8591	+	25.7367i	−0.522418	+	0.904855i	−0.999660	+	0.0260831i	$0.991697\pi$
$810$	−4.65710	−	8.06633i	−0.163634	−	0.283422i
$811$	34.3752	−	34.3752i	1.20708	−	1.20708i	0.235107	−	0.971970i	$-0.424456\pi$
$811$	34.3752	−	34.3752i	1.20708	−	1.20708i	0.971970	−	0.235107i	$-0.0755440\pi$
$812$	−7.35055	+	20.7531i	−0.257954	+	0.728290i
$813$	−22.4966	−	6.02794i	−0.788989	−	0.211409i
$814$	16.7807	−	16.7807i	0.588164	−	0.588164i
$815$	−2.32559	+	1.34268i	−0.0814617	+	0.0470319i
$816$	−1.77979	−	1.02756i	−0.0623050	−	0.0359718i
$817$	21.4148	−	5.73807i	0.749207	−	0.200750i
$818$	−6.76385			−0.236493
$819$	9.50940	−	0.755839i	0.332285	−	0.0264111i
$820$	65.8733			2.30039
$821$	−30.4555	+	8.16053i	−1.06291	+	0.284805i	−0.747575	−	0.664177i	$-0.768782\pi$
$821$	−30.4555	+	8.16053i	−1.06291	+	0.284805i	−0.315330	+	0.948982i	$0.602115\pi$
$822$	12.7603	+	7.36716i	0.445067	+	0.256959i
$823$	−1.78884	+	1.03279i	−0.0623550	+	0.0360007i	−0.530853	−	0.847464i	$-0.678129\pi$
$823$	−1.78884	+	1.03279i	−0.0623550	+	0.0360007i	0.468498	+	0.883464i	$0.344795\pi$
$824$	−18.2784	+	18.2784i	−0.636758	+	0.636758i
$825$	33.9489	+	9.09658i	1.18195	+	0.316702i
$826$	23.5637	−	66.5283i	0.819887	−	2.31482i
$827$	15.5395	−	15.5395i	0.540360	−	0.540360i	−0.383275	−	0.923634i	$-0.625204\pi$
$827$	15.5395	−	15.5395i	0.540360	−	0.540360i	0.923634	+	0.383275i	$0.125204\pi$
$828$	−7.55563	−	13.0867i	−0.262576	−	0.454796i
$829$	7.58600	−	13.1393i	0.263473	−	0.456348i	−0.703690	−	0.710508i	$-0.748465\pi$
$829$	7.58600	−	13.1393i	0.263473	−	0.456348i	0.967162	+	0.254159i	$0.0817987\pi$
$830$	11.0460	+	41.2242i	0.383412	+	1.43091i
$831$	−8.17720			−0.283664
$832$	−45.3418	−	4.72706i	−1.57194	−	0.163881i
$833$	1.31380	−	8.28810i	0.0455205	−	0.287166i
$834$	0.745892	−	0.199861i	0.0258281	−	0.00692063i
$835$	35.9924	−	62.3406i	1.24557	−	2.15739i
$836$	7.44673	+	12.8981i	0.257550	+	0.446091i
$837$	−3.36721	−	3.36721i	−0.116388	−	0.116388i
$838$	−71.1108	−	19.0541i	−2.45648	−	0.658212i
$839$	−14.3405	+	53.5194i	−0.495088	+	1.84769i	0.0344471	+	0.999407i	$0.489033\pi$
$839$	−14.3405	+	53.5194i	−0.495088	+	1.84769i	−0.529535	+	0.848288i	$0.677634\pi$
$840$	−15.2288	+	13.0049i	−0.525442	+	0.448712i
$841$	10.1234	+	17.5343i	0.349084	+	0.604631i
$842$	−49.0703	−	28.3308i	−1.69108	−	0.976343i
$843$	−4.29173	+	1.14997i	−0.147815	+	0.0396070i
$844$		−	30.7229i		−	1.05753i
$845$	−46.2395	+	30.1390i	−1.59069	+	1.03681i
$846$		−	9.24001i		−	0.317678i
$847$	−9.67797	+	1.79306i	−0.332539	+	0.0616103i
$848$	9.48046	−	16.4206i	0.325560	−	0.563887i
$849$	11.0011	−	6.35147i	0.377555	−	0.217982i
$850$	24.2239	−	24.2239i	0.830873	−	0.830873i
$851$	−5.57514	+	20.8067i	−0.191113	+	0.713244i
$852$	−2.25226	+	8.40554i	−0.0771611	+	0.287969i
$853$	−31.2556	−	31.2556i	−1.07017	−	1.07017i	−0.997345	−	0.0728280i	$-0.976798\pi$
$853$	−31.2556	−	31.2556i	−1.07017	−	1.07017i	−0.0728280	−	0.997345i	$-0.523202\pi$
$854$	27.5661	−	13.1462i	0.943291	−	0.449852i
$855$	−7.21613	−	4.16623i	−0.246786	−	0.142482i
$856$	1.76279	+	6.57881i	0.0602508	+	0.224859i
$857$	−4.67560			−0.159715			−0.0798577	−	0.996806i	$-0.525447\pi$
$857$	−4.67560			−0.159715			−0.0798577	+	0.996806i	$0.525447\pi$
$858$	21.2264	+	2.21293i	0.724658	+	0.0755483i
$859$			4.70689i			0.160597i	0.996771	+	0.0802986i	$0.0255874\pi$
$859$			4.70689i			0.160597i	−0.996771	+	0.0802986i	$0.974413\pi$
$860$	34.9151	+	130.305i	1.19060	+	4.44337i
$861$	−8.26720	+	12.0272i	−0.281746	+	0.409886i
$862$	33.3150	−	19.2344i	1.13471	−	0.655127i
$863$	−31.1015	−	31.1015i	−1.05871	−	1.05871i	−0.998166	−	0.0605431i	$-0.980717\pi$
$863$	−31.1015	−	31.1015i	−1.05871	−	1.05871i	−0.0605431	−	0.998166i	$-0.519283\pi$
$864$	−7.07671	−	1.89620i	−0.240754	−	0.0645100i
$865$	−37.7848	−	10.1244i	−1.28472	−	0.344240i
$866$	−54.8070	−	54.8070i	−1.86242	−	1.86242i
$867$	−13.4779	+	7.78144i	−0.457732	+	0.264272i
$868$	−20.0732	+	29.2027i	−0.681330	+	0.991205i
$869$	0.816302	+	3.04648i	0.0276912	+	0.103345i
$870$		−	27.5567i		−	0.934259i
$871$	2.43929	+	15.3177i	0.0826522	+	0.519019i
$872$	−24.1845			−0.818992
$873$	3.95180	+	14.7483i	0.133748	+	0.499155i
$874$	−20.0322	−	11.5656i	−0.677599	−	0.391212i
$875$	38.8100	+	81.3804i	1.31202	+	2.75116i
$876$	13.4559	+	13.4559i	0.454633	+	0.454633i
$877$	6.66722	−	24.8824i	0.225136	−	0.840220i	−0.757214	−	0.653167i	$-0.773440\pi$
$877$	6.66722	−	24.8824i	0.225136	−	0.840220i	0.982350	−	0.187052i	$-0.0598934\pi$
$878$	−10.6278	+	39.6633i	−0.358669	+	1.33857i
$879$	−4.03573	+	4.03573i	−0.136122	+	0.136122i
$880$	17.0073	−	9.81918i	0.573316	−	0.331004i
$881$	−9.58023	+	16.5935i	−0.322766	+	0.559048i	−0.981058	−	0.193716i	$-0.937946\pi$
$881$	−9.58023	+	16.5935i	−0.322766	+	0.559048i	0.658291	+	0.752763i	$0.271279\pi$
$882$	−1.60321	−	15.2725i	−0.0539830	−	0.514252i
$883$		−	8.19989i		−	0.275948i	−0.990436	−	0.137974i	$-0.955941\pi$
$883$		−	8.19989i		−	0.275948i	0.990436	−	0.137974i	$-0.0440591\pi$
$884$	7.13753	−	9.84137i	0.240061	−	0.331001i
$885$			51.6276i			1.73544i
$886$	−64.6192	+	17.3147i	−2.17092	+	0.581697i
$887$	−3.31720	−	1.91519i	−0.111381	−	0.0643057i	0.443275	−	0.896386i	$-0.353817\pi$
$887$	−3.31720	−	1.91519i	−0.111381	−	0.0643057i	−0.554655	+	0.832080i	$0.687150\pi$
$888$	−3.57385	−	6.19009i	−0.119931	−	0.207726i
$889$	−11.4526	−	13.4111i	−0.384109	−	0.449792i
$890$	11.9847	−	44.7276i	0.401729	−	1.49927i
$891$	2.60618	+	0.698323i	0.0873103	+	0.0233947i
$892$	30.6808	+	30.6808i	1.02727	+	1.02727i
$893$	−4.13305	−	7.15866i	−0.138307	−	0.239555i
$894$	12.9452	−	22.4217i	0.432952	−	0.749894i
$895$	11.1583	−	2.98986i	0.372982	−	0.0999401i
$896$	−2.71840	+	34.5121i	−0.0908154	+	1.15297i
$897$	−17.6899	+	7.89388i	−0.590648	+	0.263569i
$898$	43.3539			1.44674
$899$	−3.64639	−	13.6085i	−0.121614	−	0.453869i
$900$	18.3192	−	31.7298i	0.610640	−	1.05766i
$901$	6.62955	+	11.4827i	0.220862	+	0.382545i
$902$	−23.0876	+	23.0876i	−0.768732	+	0.768732i
$903$	−28.1731	−	9.97867i	−0.937542	−	0.332069i
$904$	5.43745	+	1.45696i	0.180847	+	0.0484578i
$905$	46.3914	−	46.3914i	1.54210	−	1.54210i
$906$	−32.9793	+	19.0406i	−1.09566	+	0.632581i
$907$	26.5418	+	15.3239i	0.881305	+	0.508821i	0.871088	−	0.491126i	$-0.163415\pi$
$907$	26.5418	+	15.3239i	0.881305	+	0.508821i	0.0102163	+	0.999948i	$0.496748\pi$
$908$	52.4716	−	14.0597i	1.74133	−	0.466588i
$909$	1.60617			0.0532734
$910$	50.3831	+	73.1859i	1.67018	+	2.42609i
$911$	−17.6785			−0.585714			−0.292857	−	0.956156i	$-0.594606\pi$
$911$	−17.6785			−0.585714			−0.292857	+	0.956156i	$0.594606\pi$
$912$	−3.24979	+	0.870778i	−0.107611	+	0.0288344i
$913$	−10.7067	−	6.18149i	−0.354339	−	0.204578i
$914$	−15.4881	+	8.94204i	−0.512300	+	0.295776i
$915$	−15.7969	+	15.7969i	−0.522228	+	0.522228i
$916$	−48.4631	−	12.9857i	−1.60127	−	0.429058i
$917$	8.65851	−	24.4459i	0.285929	−	0.807274i
$918$	1.85961	−	1.85961i	0.0613764	−	0.0613764i
$919$	6.76666	+	11.7202i	0.223212	+	0.386614i	0.955781	−	0.294078i	$-0.0950126\pi$
$919$	6.76666	+	11.7202i	0.223212	+	0.386614i	−0.732570	+	0.680692i	$0.761679\pi$
$920$	20.3330	−	35.2178i	0.670360	−	1.16110i
$921$	3.74382	+	13.9721i	0.123363	+	0.460397i
$922$	73.1348			2.40856
$923$	10.4177	+	3.98892i	0.342902	+	0.131297i
$924$	1.57661	−	20.0162i	0.0518665	−	0.658484i
$925$	−50.4474	+	13.5173i	−1.65870	+	0.444447i
$926$	−2.57688	+	4.46329i	−0.0846816	+	0.146673i
$927$	7.24987	+	12.5571i	0.238117	+	0.412431i
$928$	−15.3269	−	15.3269i	−0.503130	−	0.503130i
$929$	48.9198	+	13.1080i	1.60501	+	0.430060i	0.946549	−	0.322559i	$-0.104543\pi$
$929$	48.9198	+	13.1080i	1.60501	+	0.430060i	0.658456	+	0.752619i	$0.271210\pi$
$930$	11.4796	−	42.8424i	0.376430	−	1.40486i
$931$	−8.07346	−	11.1152i	−0.264597	−	0.364285i
$932$	35.0762	+	60.7538i	1.14896	+	1.99006i
$933$	12.6567	+	7.30736i	0.414362	+	0.239232i
$934$	−26.0492	+	6.97987i	−0.852357	+	0.228388i
$935$			13.7328i			0.449111i
$936$	2.29848	−	6.00283i	0.0751282	−	0.196209i
$937$			24.1481i			0.788885i	0.918921	+	0.394443i	$0.129062\pi$
$937$			24.1481i			0.788885i	−0.918921	+	0.394443i	$0.870938\pi$
$938$	24.5511	−	4.54864i	0.801622	−	0.148518i
$939$	−8.99920	+	15.5871i	−0.293678	+	0.508665i
$940$	43.5592	−	25.1489i	1.42074	−	0.820267i
$941$	−11.0345	+	11.0345i	−0.359716	+	0.359716i	−0.863708	−	0.503992i	$-0.831864\pi$
$941$	−11.0345	+	11.0345i	−0.359716	+	0.359716i	0.503992	+	0.863708i	$0.331864\pi$
$942$	−2.50457	+	9.34720i	−0.0816034	+	0.304548i
$943$	7.67049	−	28.6266i	0.249785	−	0.932212i
$944$	14.7403	+	14.7403i	0.479755	+	0.479755i
$945$	4.83535	+	10.1392i	0.157294	+	0.329828i
$946$	−57.9071	−	33.4327i	−1.88272	−	1.08699i
$947$	−6.74864	−	25.1863i	−0.219301	−	0.818444i	−0.984608	−	0.174778i	$-0.944079\pi$
$947$	−6.74864	−	25.1863i	−0.219301	−	0.818444i	0.765307	−	0.643666i	$-0.222587\pi$
$948$	3.28783			0.106784
$949$	18.9448	−	15.3676i	0.614976	−	0.498855i
$950$		−	56.0833i		−	1.81958i
$951$	4.42285	+	16.5063i	0.143421	+	0.535254i
$952$	−4.65975	−	3.20300i	−0.151023	−	0.103810i
$953$	2.70119	−	1.55953i	0.0875001	−	0.0505182i	−0.455612	−	0.890179i	$-0.650579\pi$
$953$	2.70119	−	1.55953i	0.0875001	−	0.0505182i	0.543112	+	0.839661i	$0.317246\pi$
$954$	17.1571	+	17.1571i	0.555483	+	0.555483i
$955$	13.4327	+	3.59927i	0.434671	+	0.116470i
$956$	−17.9786	−	4.81735i	−0.581470	−	0.155804i
$957$	5.64452	+	5.64452i	0.182461	+	0.182461i
$958$	44.8518	−	25.8952i	1.44910	−	0.836636i
$959$	−14.6441	−	10.0660i	−0.472882	−	0.325048i
$960$	−13.8939	−	51.8527i	−0.448424	−	1.67354i
$961$			8.32384i			0.268511i
$962$	−28.9604	+	12.9232i	−0.933720	+	0.416661i
$963$	3.82041			0.123111
$964$	−0.475429	−	1.77433i	−0.0153126	−	0.0571472i
$965$	−77.3469	−	44.6563i	−2.48989	−	1.43754i
$966$	13.4231	+	28.1468i	0.431881	+	0.905607i
$967$	10.4152	+	10.4152i	0.334930	+	0.334930i	0.854455	−	0.519525i	$-0.173891\pi$
$967$	10.4152	+	10.4152i	0.334930	+	0.334930i	−0.519525	+	0.854455i	$0.673891\pi$
$968$	−1.71654	+	6.40620i	−0.0551715	+	0.205903i
$969$	0.608923	−	2.27253i	0.0195614	−	0.0730042i
$970$	−100.561	+	100.561i	−3.22881	+	3.22881i
$971$	17.7603	−	10.2539i	0.569955	−	0.329064i	−0.187176	−	0.982326i	$-0.559934\pi$
$971$	17.7603	−	10.2539i	0.569955	−	0.329064i	0.757131	+	0.653263i	$0.226600\pi$
$972$	1.40632	−	2.43582i	0.0451078	−	0.0781290i
$973$	−0.915716	+	0.169657i	−0.0293565	+	0.00543895i
$974$		−	23.1919i		−	0.743117i
$975$	−38.0203	−	27.5745i	−1.21762	−	0.883092i
$976$			9.02035i			0.288734i
$977$	21.0235	−	5.63323i	0.672601	−	0.180223i	0.0936748	−	0.995603i	$-0.470139\pi$
$977$	21.0235	−	5.63323i	0.672601	−	0.180223i	0.578926	+	0.815380i	$0.303472\pi$
$978$	−1.20163	−	0.693762i	−0.0384239	−	0.0221840i
$979$	6.70682	+	11.6166i	0.214351	+	0.371267i
$980$	67.6339	−	49.1256i	2.16049	−	1.56926i
$981$	−3.51108	+	13.1035i	−0.112100	+	0.418364i
$982$	−23.1682	−	6.20790i	−0.739327	−	0.198102i
$983$	4.97085	+	4.97085i	0.158546	+	0.158546i	0.781922	−	0.623376i	$-0.214240\pi$
$983$	4.97085	+	4.97085i	0.158546	+	0.158546i	−0.623376	+	0.781922i	$0.714240\pi$
$984$	4.91704	+	8.51656i	0.156749	+	0.271498i
$985$	44.3858	−	76.8784i	1.41425	−	2.44955i
$986$	7.51559	−	2.01380i	0.239345	−	0.0641323i
$987$	−0.875042	+	11.1093i	−0.0278529	+	0.353613i
$988$	−3.12997	−	19.6548i	−0.0995775	−	0.625303i
$989$	60.6925			1.92991
$990$	6.50432	+	24.2745i	0.206721	+	0.771493i
$991$	−16.0062	+	27.7236i	−0.508454	+	0.880668i	0.491498	+	0.870879i	$0.336449\pi$
$991$	−16.0062	+	27.7236i	−0.508454	+	0.880668i	−0.999952	+	0.00978927i	$0.996884\pi$
$992$	−17.4438	−	30.2136i	−0.553843	−	0.959283i
$993$	−7.02472	+	7.02472i	−0.222923	+	0.222923i
$994$	5.99546	−	16.9272i	0.190164	−	0.536897i
$995$	102.268	+	27.4027i	3.24212	+	0.868723i
$996$	−9.11304	+	9.11304i	−0.288758	+	0.288758i
$997$	−38.9153	+	22.4677i	−1.23246	+	0.711561i	−0.967542	−	0.252711i	$-0.918678\pi$
$997$	−38.9153	+	22.4677i	−1.23246	+	0.711561i	−0.264917	+	0.964271i	$0.585345\pi$
$998$	56.8215	+	32.8059i	1.79865	+	1.03845i
$999$	−3.87273	+	1.03769i	−0.122528	+	0.0328312i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	273.2.by.c.202.2	✓	32
3.2	odd	2		819.2.fm.f.748.7		32
7.6	odd	2		273.2.by.d.202.2	yes	32
13.2	odd	12		273.2.by.d.223.2	yes	32
21.20	even	2		819.2.fm.e.748.7		32
39.2	even	12		819.2.fm.e.496.7		32
91.41	even	12	inner	273.2.by.c.223.2	yes	32
273.41	odd	12		819.2.fm.f.496.7		32

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
273.2.by.c.202.2	✓	32	1.1	even	1	trivial
273.2.by.c.223.2	yes	32	91.41	even	12	inner
273.2.by.d.202.2	yes	32	7.6	odd	2
273.2.by.d.223.2	yes	32	13.2	odd	12
819.2.fm.e.496.7		32	39.2	even	12
819.2.fm.e.748.7		32	21.20	even	2
819.2.fm.f.496.7		32	273.41	odd	12
819.2.fm.f.748.7		32	3.2	odd	2

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)

\(f(q)\)	\(=\)	\(q+(-2.11902 + 0.567791i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(2.43582 - 1.40632i) q^{4} +(3.00219 - 3.00219i) q^{5} +(2.11902 + 0.567791i) q^{6} +(-2.49394 - 0.883331i) q^{7} +(-1.26060 + 1.26060i) q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})\)	\(q+(-2.11902 + 0.567791i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(2.43582 - 1.40632i) q^{4} +(3.00219 - 3.00219i) q^{5} +(2.11902 + 0.567791i) q^{6} +(-2.49394 - 0.883331i) q^{7} +(-1.26060 + 1.26060i) q^{8} +(0.500000 + 0.866025i) q^{9} +(-4.65710 + 8.06633i) q^{10} +(-0.698323 - 2.60618i) q^{11} -2.81265 q^{12} +(-0.373866 + 3.58612i) q^{13} +(5.78626 + 0.455764i) q^{14} +(-4.10107 + 1.09888i) q^{15} +(-0.857159 + 1.48464i) q^{16} +(-0.599399 - 1.03819i) q^{17} +(-1.55123 - 1.55123i) q^{18} +(-1.89568 - 0.507945i) q^{19} +(3.09075 - 11.5349i) q^{20} +(1.71815 + 2.01196i) q^{21} +(2.95953 + 5.12605i) q^{22} +(-4.65282 - 2.68631i) q^{23} +(1.72201 - 0.461412i) q^{24} -13.0263i q^{25} +(-1.24393 - 7.81134i) q^{26} -1.00000i q^{27} +(-7.31704 + 1.35564i) q^{28} +(1.47928 - 2.56220i) q^{29} +(8.06633 - 4.65710i) q^{30} +(3.36721 - 3.36721i) q^{31} +(1.89620 - 7.07671i) q^{32} +(-0.698323 + 2.60618i) q^{33} +(1.85961 + 1.85961i) q^{34} +(-10.1392 + 4.83535i) q^{35} +(2.43582 + 1.40632i) q^{36} +(-1.03769 - 3.87273i) q^{37} +4.30539 q^{38} +(2.11684 - 2.91873i) q^{39} +7.56914i q^{40} +(1.42770 + 5.32825i) q^{41} +(-4.78317 - 3.28783i) q^{42} +(-9.78317 + 5.64832i) q^{43} +(-5.36612 - 5.36612i) q^{44} +(4.10107 + 1.09888i) q^{45} +(11.3847 + 3.05052i) q^{46} +(2.97828 + 2.97828i) q^{47} +(1.48464 - 0.857159i) q^{48} +(5.43945 + 4.40594i) q^{49} +(7.39621 + 27.6030i) q^{50} +1.19880i q^{51} +(4.13256 + 9.26092i) q^{52} -11.0603 q^{53} +(0.567791 + 2.11902i) q^{54} +(-9.92075 - 5.72775i) q^{55} +(4.25739 - 2.03033i) q^{56} +(1.38773 + 1.38773i) q^{57} +(-1.67985 + 6.26927i) q^{58} +(3.14721 - 11.7455i) q^{59} +(-8.44410 + 8.44410i) q^{60} +(4.55683 - 2.63089i) q^{61} +(-5.22332 + 9.04706i) q^{62} +(-0.481982 - 2.60148i) q^{63} +12.6437i q^{64} +(9.64379 + 11.8886i) q^{65} -5.91905i q^{66} +(4.15530 - 1.11341i) q^{67} +(-2.92006 - 1.68590i) q^{68} +(2.68631 + 4.65282i) q^{69} +(18.7397 - 16.0032i) q^{70} +(0.800761 - 2.98848i) q^{71} +(-1.72201 - 0.461412i) q^{72} +(-4.78407 - 4.78407i) q^{73} +(4.39780 + 7.61721i) q^{74} +(-6.51315 + 11.2811i) q^{75} +(-5.33186 + 1.42867i) q^{76} +(-0.560542 + 7.11650i) q^{77} +(-2.82839 + 7.38678i) q^{78} -1.16895 q^{79} +(1.88383 + 7.03054i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(-6.05066 - 10.4801i) q^{82} +(3.24002 - 3.24002i) q^{83} +(7.01456 + 2.48450i) q^{84} +(-4.91635 - 1.31733i) q^{85} +(17.5237 - 17.5237i) q^{86} +(-2.56220 + 1.47928i) q^{87} +(4.16566 + 2.40505i) q^{88} +(-4.80209 + 1.28672i) q^{89} -9.31419 q^{90} +(4.10012 - 8.61330i) q^{91} -15.1113 q^{92} +(-4.59969 + 1.23248i) q^{93} +(-8.00209 - 4.62001i) q^{94} +(-7.21613 + 4.16623i) q^{95} +(-5.18051 + 5.18051i) q^{96} +(14.7483 + 3.95180i) q^{97} +(-14.0280 - 6.24783i) q^{98} +(1.90786 - 1.90786i) 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	\( 32 q - 2 q^{2} + 6 q^{4} - 2 q^{5} + 2 q^{6} - 2 q^{7} + 2 q^{8} + 16 q^{9} - 2 q^{10} - 4 q^{11} - 32 q^{12} - 6 q^{13} + 34 q^{14} + 4 q^{15} + 14 q^{16} + 8 q^{17} + 2 q^{18} - 2 q^{19} - 44 q^{20} + 2 q^{21} - 4 q^{22} - 18 q^{23} - 4 q^{24} + 28 q^{26} - 18 q^{28} - 18 q^{29} + 14 q^{31} - 8 q^{32} - 4 q^{33} + 66 q^{34} - 20 q^{35} + 6 q^{36} - 24 q^{37} - 24 q^{38} + 8 q^{39} + 16 q^{42} - 6 q^{43} - 20 q^{44} - 4 q^{45} - 58 q^{46} + 28 q^{47} + 60 q^{48} + 10 q^{49} + 70 q^{50} - 28 q^{52} - 80 q^{53} + 4 q^{54} - 60 q^{55} - 120 q^{56} + 16 q^{57} - 4 q^{58} + 42 q^{59} - 58 q^{60} - 36 q^{61} - 52 q^{62} + 2 q^{63} + 14 q^{65} + 26 q^{67} + 72 q^{68} - 2 q^{69} + 68 q^{70} - 4 q^{71} + 4 q^{72} - 12 q^{73} - 18 q^{74} - 16 q^{75} + 48 q^{76} - 28 q^{77} - 14 q^{78} - 4 q^{79} + 98 q^{80} - 16 q^{81} - 20 q^{82} + 36 q^{83} + 32 q^{84} - 10 q^{85} - 40 q^{86} + 96 q^{88} + 54 q^{89} - 4 q^{90} - 54 q^{91} - 4 q^{92} + 2 q^{93} + 60 q^{95} - 22 q^{96} + 40 q^{97} + 4 q^{99}+O(q^{100}) \) 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 + 2 * q^21 - 4 * q^22 - 18 * q^23 - 4 * q^24 + 28 * q^26 - 18 * q^28 - 18 * q^29 + 14 * q^31 - 8 * q^32 - 4 * q^33 + 66 * q^34 - 20 * q^35 + 6 * q^36 - 24 * q^37 - 24 * q^38 + 8 * q^39 + 16 * q^42 - 6 * q^43 - 20 * q^44 - 4 * q^45 - 58 * q^46 + 28 * q^47 + 60 * q^48 + 10 * q^49 + 70 * q^50 - 28 * q^52 - 80 * q^53 + 4 * q^54 - 60 * q^55 - 120 * q^56 + 16 * q^57 - 4 * q^58 + 42 * q^59 - 58 * q^60 - 36 * q^61 - 52 * q^62 + 2 * q^63 + 14 * q^65 + 26 * q^67 + 72 * q^68 - 2 * q^69 + 68 * 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 + 32 * q^84 - 10 * q^85 - 40 * q^86 + 96 * q^88 + 54 * q^89 - 4 * q^90 - 54 * q^91 - 4 * q^92 + 2 * q^93 + 60 * q^95 - 22 * q^96 + 40 * q^97 + 4 * q^99

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