LMFDB - Embedded newform 170.2.o.b.27.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [170,2,Mod(3,170)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(170, base_ring=CyclotomicField(16))

chi = DirichletCharacter(H, H._module([12, 1]))

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

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

chi := DirichletCharacter("170.3");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 170 = 2 \cdot 5 \cdot 17 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	170.o (of order $16$, degree $8$, 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:	$1.35745683436$
Analytic rank:	$0$
Dimension:	$40$
Relative dimension:	$5$ over $\Q(\zeta_{16})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label			27.5
Character	$\chi$	$=$	170.27
Dual form			170.2.o.b.63.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.923880 + 0.382683i) q^{2} +(2.85081 - 0.567062i) q^{3} +(0.707107 - 0.707107i) q^{4} +(-2.19776 + 0.412156i) q^{5} +(-2.41680 + 1.61486i) q^{6} +(2.40863 + 3.60477i) q^{7} +(-0.382683 + 0.923880i) q^{8} +(5.03395 - 2.08513i) q^{9} +O(q^{10})$	\(q+(-0.923880 + 0.382683i) q^{2} +(2.85081 - 0.567062i) q^{3} +(0.707107 - 0.707107i) q^{4} +(-2.19776 + 0.412156i) q^{5} +(-2.41680 + 1.61486i) q^{6} +(2.40863 + 3.60477i) q^{7} +(-0.382683 + 0.923880i) q^{8} +(5.03395 - 2.08513i) q^{9} +(1.87274 - 1.22183i) q^{10} +(-0.113862 - 0.170406i) q^{11} +(1.61486 - 2.41680i) q^{12} -3.32855i q^{13} +(-3.60477 - 2.40863i) q^{14} +(-6.03167 + 2.42124i) q^{15} -1.00000i q^{16} +(-0.761002 - 4.05227i) q^{17} +(-3.85282 + 3.85282i) q^{18} +(-1.76021 - 0.729105i) q^{19} +(-1.26261 + 1.84549i) q^{20} +(8.91069 + 8.91069i) q^{21} +(0.170406 + 0.113862i) q^{22} +(-0.153052 + 0.769445i) q^{23} +(-0.567062 + 2.85081i) q^{24} +(4.66026 - 1.81163i) q^{25} +(1.27378 + 3.07518i) q^{26} +(5.91804 - 3.95431i) q^{27} +(4.25212 + 0.845799i) q^{28} +(-8.95670 + 1.78160i) q^{29} +(4.64597 - 4.54516i) q^{30} +(-4.85565 + 7.26699i) q^{31} +(0.382683 + 0.923880i) q^{32} +(-0.421230 - 0.421230i) q^{33} +(2.25381 + 3.45258i) q^{34} +(-6.77931 - 6.92967i) q^{35} +(2.08513 - 5.03395i) q^{36} +(-0.374777 - 1.88413i) q^{37} +1.90524 q^{38} +(-1.88750 - 9.48908i) q^{39} +(0.460262 - 2.18819i) q^{40} +(-3.42967 - 0.682203i) q^{41} +(-11.6424 - 4.82243i) q^{42} +(-6.29559 - 2.60772i) q^{43} +(-0.201008 - 0.0399830i) q^{44} +(-10.2040 + 6.65737i) q^{45} +(-0.153052 - 0.769445i) q^{46} +11.8186 q^{47} +(-0.567062 - 2.85081i) q^{48} +(-4.51409 + 10.8980i) q^{49} +(-3.61223 + 3.45713i) q^{50} +(-4.46736 - 11.1207i) q^{51} +(-2.35364 - 2.35364i) q^{52} +(-1.97998 - 4.78009i) q^{53} +(-3.95431 + 5.91804i) q^{54} +(0.320474 + 0.327582i) q^{55} +(-4.25212 + 0.845799i) q^{56} +(-5.43149 - 1.08039i) q^{57} +(7.59313 - 5.07356i) q^{58} +(1.58062 + 3.81596i) q^{59} +(-2.55296 + 5.97712i) q^{60} +(0.209544 - 1.05345i) q^{61} +(1.70508 - 8.57200i) q^{62} +(19.6413 + 13.1239i) q^{63} +(-0.707107 - 0.707107i) q^{64} +(1.37188 + 7.31534i) q^{65} +(0.550364 + 0.227968i) q^{66} +(5.49540 - 5.49540i) q^{67} +(-3.40350 - 2.32728i) q^{68} +2.28034i q^{69} +(8.91514 + 3.80785i) q^{70} +(-1.33556 - 0.892391i) q^{71} +5.44870i q^{72} +(-0.452947 + 0.677883i) q^{73} +(1.06727 + 1.59729i) q^{74} +(12.2582 - 7.80729i) q^{75} +(-1.76021 + 0.729105i) q^{76} +(0.340025 - 0.820892i) q^{77} +(5.37513 + 8.04446i) q^{78} +(10.3045 - 6.88525i) q^{79} +(0.412156 + 2.19776i) q^{80} +(3.07044 - 3.07044i) q^{81} +(3.42967 - 0.682203i) q^{82} +(-0.650559 + 0.269470i) q^{83} +12.6016 q^{84} +(3.34266 + 8.59224i) q^{85} +6.81430 q^{86} +(-24.5236 + 10.1580i) q^{87} +(0.201008 - 0.0399830i) q^{88} +(3.70552 - 3.70552i) q^{89} +(6.87959 - 10.0555i) q^{90} +(11.9987 - 8.01725i) q^{91} +(0.435856 + 0.652304i) q^{92} +(-9.72172 + 23.4703i) q^{93} +(-10.9189 + 4.52277i) q^{94} +(4.16902 + 0.876911i) q^{95} +(1.61486 + 2.41680i) q^{96} +(-0.0834089 + 0.124830i) q^{97} -11.7959i q^{98} +(-0.928493 - 0.620400i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 40 q+O(q^{10}) $ 40 * q	$ 40 q + 8 q^{10} - 8 q^{15} - 16 q^{18} - 16 q^{20} - 8 q^{25} - 8 q^{26} + 24 q^{27} + 8 q^{28} - 8 q^{29} - 16 q^{31} + 32 q^{33} - 8 q^{34} - 32 q^{35} + 16 q^{37} + 32 q^{39} + 8 q^{40} - 56 q^{41} - 8 q^{42} - 48 q^{43} - 16 q^{44} - 24 q^{45} - 96 q^{47} - 16 q^{49} - 32 q^{51} - 16 q^{52} - 40 q^{53} + 24 q^{54} + 8 q^{55} - 8 q^{56} - 8 q^{57} + 16 q^{58} + 24 q^{61} - 24 q^{62} - 24 q^{63} + 16 q^{65} - 16 q^{67} + 24 q^{68} + 8 q^{70} + 24 q^{71} + 16 q^{73} - 32 q^{74} + 184 q^{75} + 40 q^{77} + 16 q^{78} + 104 q^{79} + 8 q^{80} + 48 q^{81} + 56 q^{82} + 16 q^{83} - 8 q^{85} + 96 q^{86} - 8 q^{87} + 16 q^{88} + 16 q^{89} + 40 q^{90} + 48 q^{91} + 8 q^{92} + 136 q^{93} + 8 q^{94} + 8 q^{95} + 144 q^{97} - 160 q^{99}+O(q^{100}) $ 40 * q + 8 * q^10 - 8 * q^15 - 16 * q^18 - 16 * q^20 - 8 * q^25 - 8 * q^26 + 24 * q^27 + 8 * q^28 - 8 * q^29 - 16 * q^31 + 32 * q^33 - 8 * q^34 - 32 * q^35 + 16 * q^37 + 32 * q^39 + 8 * q^40 - 56 * q^41 - 8 * q^42 - 48 * q^43 - 16 * q^44 - 24 * q^45 - 96 * q^47 - 16 * q^49 - 32 * q^51 - 16 * q^52 - 40 * q^53 + 24 * q^54 + 8 * q^55 - 8 * q^56 - 8 * q^57 + 16 * q^58 + 24 * q^61 - 24 * q^62 - 24 * q^63 + 16 * q^65 - 16 * q^67 + 24 * q^68 + 8 * q^70 + 24 * q^71 + 16 * q^73 - 32 * q^74 + 184 * q^75 + 40 * q^77 + 16 * q^78 + 104 * q^79 + 8 * q^80 + 48 * q^81 + 56 * q^82 + 16 * q^83 - 8 * q^85 + 96 * q^86 - 8 * q^87 + 16 * q^88 + 16 * q^89 + 40 * q^90 + 48 * q^91 + 8 * q^92 + 136 * q^93 + 8 * q^94 + 8 * q^95 + 144 * q^97 - 160 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/170\mathbb{Z}\right)^\times$.

$n$	$71$	$137$
$\chi(n)$	$e\left(\frac{3}{16}\right)$	$e\left(\frac{1}{4}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−0.923880	+	0.382683i	−0.653281	+	0.270598i
$2$	−0.923880	+	0.382683i	−0.653281	+	0.270598i
$3$	2.85081	−	0.567062i	1.64592	−	0.327394i	0.716829	−	0.697249i	$-0.245593\pi$
$3$	2.85081	−	0.567062i	1.64592	−	0.327394i	0.929089	+	0.369855i	$0.120593\pi$
$4$	0.707107	−	0.707107i	0.353553	−	0.353553i
$5$	−2.19776	+	0.412156i	−0.982866	+	0.184322i
$5$	−2.19776	+	0.412156i	−0.982866	+	0.184322i
$6$	−2.41680	+	1.61486i	−0.986656	+	0.659263i
$7$	2.40863	+	3.60477i	0.910377	+	1.36248i	0.931903	+	0.362707i	$0.118148\pi$
$7$	2.40863	+	3.60477i	0.910377	+	1.36248i	−0.0215260	+	0.999768i	$0.506852\pi$
$8$	−0.382683	+	0.923880i	−0.135299	+	0.326641i
$9$	5.03395	−	2.08513i	1.67798	−	0.695043i
$10$	1.87274	−	1.22183i	0.592211	−	0.386376i
$11$	−0.113862	−	0.170406i	−0.0343306	−	0.0513794i	0.813907	−	0.580995i	$-0.197336\pi$
$11$	−0.113862	−	0.170406i	−0.0343306	−	0.0513794i	−0.848238	+	0.529615i	$0.822336\pi$
$12$	1.61486	−	2.41680i	0.466169	−	0.697671i
$13$		−	3.32855i		−	0.923174i	−0.887095	−	0.461587i	$-0.847280\pi$
$13$		−	3.32855i		−	0.923174i	0.887095	−	0.461587i	$-0.152720\pi$
$14$	−3.60477	−	2.40863i	−0.963416	−	0.643734i
$15$	−6.03167	+	2.42124i	−1.55737	+	0.625162i
$16$		−	1.00000i		−	0.250000i
$17$	−0.761002	−	4.05227i	−0.184570	−	0.982819i
$17$	−0.761002	−	4.05227i	−0.184570	−	0.982819i
$18$	−3.85282	+	3.85282i	−0.908117	+	0.908117i
$19$	−1.76021	−	0.729105i	−0.403821	−	0.167268i	0.171522	−	0.985180i	$-0.445131\pi$
$19$	−1.76021	−	0.729105i	−0.403821	−	0.167268i	−0.575343	+	0.817912i	$0.695131\pi$
$20$	−1.26261	+	1.84549i	−0.282328	+	0.412663i
$21$	8.91069	+	8.91069i	1.94447	+	1.94447i
$22$	0.170406	+	0.113862i	0.0363307	+	0.0242754i
$23$	−0.153052	+	0.769445i	−0.0319136	+	0.160440i	−0.993456	−	0.114216i	$-0.963564\pi$
$23$	−0.153052	+	0.769445i	−0.0319136	+	0.160440i	0.961542	+	0.274657i	$0.0885643\pi$
$24$	−0.567062	+	2.85081i	−0.115751	+	0.581920i
$25$	4.66026	−	1.81163i	0.932051	−	0.362327i
$26$	1.27378	+	3.07518i	0.249809	+	0.603093i
$27$	5.91804	−	3.95431i	1.13893	−	0.761007i
$28$	4.25212	+	0.845799i	0.803575	+	0.159841i
$29$	−8.95670	+	1.78160i	−1.66322	+	0.330835i	−0.935037	−	0.354550i	$-0.884634\pi$
$29$	−8.95670	+	1.78160i	−1.66322	+	0.330835i	−0.728181	+	0.685385i	$0.759634\pi$
$30$	4.64597	−	4.54516i	0.848234	−	0.829829i
$31$	−4.85565	+	7.26699i	−0.872100	+	1.30519i	0.0791791	+	0.996860i	$0.474770\pi$
$31$	−4.85565	+	7.26699i	−0.872100	+	1.30519i	−0.951279	+	0.308330i	$0.900230\pi$
$32$	0.382683	+	0.923880i	0.0676495	+	0.163320i
$33$	−0.421230	−	0.421230i	−0.0733267	−	0.0733267i
$34$	2.25381	+	3.45258i	0.386525	+	0.592113i
$35$	−6.77931	−	6.92967i	−1.14591	−	1.17133i
$36$	2.08513	−	5.03395i	0.347521	−	0.838991i
$37$	−0.374777	−	1.88413i	−0.0616129	−	0.309749i	0.937674	−	0.347517i	$-0.112975\pi$
$37$	−0.374777	−	1.88413i	−0.0616129	−	0.309749i	−0.999287	+	0.0377681i	$0.987975\pi$
$38$	1.90524			0.309071
$39$	−1.88750	−	9.48908i	−0.302241	−	1.51947i
$40$	0.460262	−	2.18819i	0.0727738	−	0.345983i
$41$	−3.42967	−	0.682203i	−0.535624	−	0.106542i	−0.0801355	−	0.996784i	$-0.525535\pi$
$41$	−3.42967	−	0.682203i	−0.535624	−	0.106542i	−0.455488	+	0.890242i	$0.650535\pi$
$42$	−11.6424	−	4.82243i	−1.79646	−	0.744117i
$43$	−6.29559	−	2.60772i	−0.960069	−	0.397674i	−0.153063	−	0.988216i	$-0.548914\pi$
$43$	−6.29559	−	2.60772i	−0.960069	−	0.397674i	−0.807006	+	0.590543i	$0.798914\pi$
$44$	−0.201008	−	0.0399830i	−0.0303031	−	0.00602766i
$45$	−10.2040	+	6.65737i	−1.52112	+	0.992422i
$46$	−0.153052	−	0.769445i	−0.0225663	−	0.113449i
$47$	11.8186			1.72392			0.861958	−	0.506979i	$-0.169238\pi$
$47$	11.8186			1.72392			0.861958	+	0.506979i	$0.169238\pi$
$48$	−0.567062	−	2.85081i	−0.0818484	−	0.411480i
$49$	−4.51409	+	10.8980i	−0.644870	+	1.55685i
$50$	−3.61223	+	3.45713i	−0.510847	+	0.488913i
$51$	−4.46736	−	11.1207i	−0.625556	−	1.55721i
$52$	−2.35364	−	2.35364i	−0.326391	−	0.326391i
$53$	−1.97998	−	4.78009i	−0.271971	−	0.656596i	0.727597	−	0.686005i	$-0.240637\pi$
$53$	−1.97998	−	4.78009i	−0.271971	−	0.656596i	−0.999567	+	0.0294096i	$0.990637\pi$
$54$	−3.95431	+	5.91804i	−0.538113	+	0.805343i
$55$	0.320474	+	0.327582i	0.0432128	+	0.0441712i
$56$	−4.25212	+	0.845799i	−0.568213	+	0.113025i
$57$	−5.43149	−	1.08039i	−0.719419	−	0.143101i
$58$	7.59313	−	5.07356i	0.997026	−	0.666192i
$59$	1.58062	+	3.81596i	0.205779	+	0.496795i	0.992750	−	0.120195i	$-0.0383519\pi$
$59$	1.58062	+	3.81596i	0.205779	+	0.496795i	−0.786971	+	0.616990i	$0.788352\pi$
$60$	−2.55296	+	5.97712i	−0.329586	+	0.771642i
$61$	0.209544	−	1.05345i	0.0268294	−	0.134881i	−0.965049	−	0.262069i	$-0.915595\pi$
$61$	0.209544	−	1.05345i	0.0268294	−	0.134881i	0.991879	+	0.127188i	$0.0405952\pi$
$62$	1.70508	−	8.57200i	0.216545	−	1.08865i
$63$	19.6413	+	13.1239i	2.47458	+	1.65346i
$64$	−0.707107	−	0.707107i	−0.0883883	−	0.0883883i
$65$	1.37188	+	7.31534i	0.170161	+	0.907356i
$66$	0.550364	+	0.227968i	0.0677451	+	0.0280609i
$67$	5.49540	−	5.49540i	0.671369	−	0.671369i	−0.286662	−	0.958032i	$-0.592546\pi$
$67$	5.49540	−	5.49540i	0.671369	−	0.671369i	0.958032	+	0.286662i	$0.0925458\pi$
$68$	−3.40350	−	2.32728i	−0.412734	−	0.282224i
$69$			2.28034i			0.274520i
$70$	8.91514	+	3.80785i	1.06556	+	0.455126i
$71$	−1.33556	−	0.892391i	−0.158502	−	0.105907i	0.473790	−	0.880638i	$-0.342886\pi$
$71$	−1.33556	−	0.892391i	−0.158502	−	0.105907i	−0.632292	+	0.774730i	$0.717886\pi$
$72$			5.44870i			0.642136i
$73$	−0.452947	+	0.677883i	−0.0530135	+	0.0793403i	−0.857029	−	0.515267i	$-0.827693\pi$
$73$	−0.452947	+	0.677883i	−0.0530135	+	0.0793403i	0.804016	+	0.594608i	$0.202693\pi$
$74$	1.06727	+	1.59729i	0.124068	+	0.185681i
$75$	12.2582	−	7.80729i	1.41546	−	0.901508i
$76$	−1.76021	+	0.729105i	−0.201910	+	0.0836340i
$77$	0.340025	−	0.820892i	0.0387494	−	0.0935493i
$78$	5.37513	+	8.04446i	0.608614	+	0.910855i
$79$	10.3045	−	6.88525i	1.15935	−	0.774651i	0.181380	−	0.983413i	$-0.441944\pi$
$79$	10.3045	−	6.88525i	1.15935	−	0.774651i	0.977966	+	0.208762i	$0.0669435\pi$
$80$	0.412156	+	2.19776i	0.0460804	+	0.245716i
$81$	3.07044	−	3.07044i	0.341160	−	0.341160i
$82$	3.42967	−	0.682203i	0.378743	−	0.0753367i
$83$	−0.650559	+	0.269470i	−0.0714081	+	0.0295782i	−0.418102	−	0.908400i	$-0.637304\pi$
$83$	−0.650559	+	0.269470i	−0.0714081	+	0.0295782i	0.346693	+	0.937978i	$0.387304\pi$
$84$	12.6016			1.37495
$85$	3.34266	+	8.59224i	0.362563	+	0.931959i
$86$	6.81430			0.734805
$87$	−24.5236	+	10.1580i	−2.62921	+	1.08905i
$88$	0.201008	−	0.0399830i	0.0214275	−	0.00426220i
$89$	3.70552	−	3.70552i	0.392784	−	0.392784i	−0.482894	−	0.875679i	$-0.660415\pi$
$89$	3.70552	−	3.70552i	0.392784	−	0.392784i	0.875679	+	0.482894i	$0.160415\pi$
$90$	6.87959	−	10.0555i	0.725172	−	1.05994i
$91$	11.9987	−	8.01725i	1.25780	−	0.840437i
$92$	0.435856	+	0.652304i	0.0454411	+	0.0680074i
$93$	−9.72172	+	23.4703i	−1.00810	+	2.43376i
$94$	−10.9189	+	4.52277i	−1.12620	+	0.466489i
$95$	4.16902	+	0.876911i	0.427733	+	0.0899692i
$96$	1.61486	+	2.41680i	0.164816	+	0.246664i
$97$	−0.0834089	+	0.124830i	−0.00846889	+	0.0126746i	−0.835680	−	0.549217i	$-0.814926\pi$
$97$	−0.0834089	+	0.124830i	−0.00846889	+	0.0126746i	0.827211	+	0.561891i	$0.189926\pi$
$98$		−	11.7959i		−	1.19156i
$99$	−0.928493	−	0.620400i	−0.0933171	−	0.0623525i
$100$	2.01428	−	4.57632i	0.201428	−	0.457632i
$101$			15.1577i			1.50824i	0.656735	+	0.754122i	$0.271937\pi$
$101$			15.1577i			1.50824i	−0.656735	+	0.754122i	$0.728063\pi$
$102$	8.38302	+	8.56463i	0.830043	+	0.848025i
$103$	−2.06188	+	2.06188i	−0.203163	+	0.203163i	−0.801354	−	0.598191i	$-0.795887\pi$
$103$	−2.06188	+	2.06188i	−0.203163	+	0.203163i	0.598191	+	0.801354i	$0.295887\pi$
$104$	3.07518	+	1.27378i	0.301546	+	0.124905i
$105$	−23.2561	−	15.9109i	−2.26956	−	1.55275i
$106$	3.65852	+	3.65852i	0.355347	+	0.355347i
$107$	−0.488999	−	0.326739i	−0.0472733	−	0.0315870i	0.531709	−	0.846927i	$-0.321550\pi$
$107$	−0.488999	−	0.326739i	−0.0472733	−	0.0315870i	−0.578982	+	0.815340i	$0.696550\pi$
$108$	1.38857	−	6.98080i	0.133615	−	0.671728i
$109$	−0.693887	+	3.48840i	−0.0664623	+	0.334129i	−0.999683	−	0.0251750i	$-0.991986\pi$
$109$	−0.693887	+	3.48840i	−0.0664623	+	0.334129i	0.933221	+	0.359304i	$0.116986\pi$
$110$	−0.421440	−	0.180007i	−0.0401827	−	0.0171629i
$111$	−2.13684	−	5.15878i	−0.202820	−	0.489650i
$112$	3.60477	−	2.40863i	0.340619	−	0.227594i
$113$	3.23682	+	0.643843i	0.304494	+	0.0605677i	0.344973	−	0.938613i	$-0.387888\pi$
$113$	3.23682	+	0.643843i	0.304494	+	0.0605677i	−0.0404784	+	0.999180i	$0.512888\pi$
$114$	5.43149	−	1.08039i	0.508706	−	0.101188i
$115$	0.0192399	−	1.75413i	0.00179413	−	0.163574i
$116$	−5.07356	+	7.59313i	−0.471069	+	0.705004i
$117$	−6.94046	−	16.7557i	−0.641646	−	1.54907i
$118$	−2.92061	−	2.92061i	−0.268864	−	0.268864i
$119$	12.7745	−	12.5037i	1.17104	−	1.14621i
$120$	0.0712843	−	6.49911i	0.00650734	−	0.593285i
$121$	4.19344	−	10.1239i	0.381222	−	0.920352i
$122$	0.209544	+	1.05345i	0.0189713	+	0.0953749i
$123$	−10.1642			−0.916474
$124$	1.70508	+	8.57200i	0.153120	+	0.769789i
$125$	−9.49542	+	5.90228i	−0.849297	+	0.527916i
$126$	−23.1685	−	4.60851i	−2.06402	−	0.410558i
$127$	4.76825	+	1.97507i	0.423114	+	0.175260i	0.584072	−	0.811702i	$-0.301458\pi$
$127$	4.76825	+	1.97507i	0.423114	+	0.175260i	−0.160958	+	0.986961i	$0.551458\pi$
$128$	0.923880	+	0.382683i	0.0816602	+	0.0338248i
$129$	−19.4263	−	3.86413i	−1.71039	−	0.340218i
$130$	−4.06691	−	6.23350i	−0.356692	−	0.546714i
$131$	2.13002	+	10.7084i	0.186101	+	0.935593i	0.955087	+	0.296327i	$0.0957618\pi$
$131$	2.13002	+	10.7084i	0.186101	+	0.935593i	−0.768985	+	0.639266i	$0.779238\pi$
$132$	−0.595709			−0.0518498
$133$	−1.61145	−	8.10132i	−0.139731	−	0.702473i
$134$	−2.97409	+	7.18008i	−0.256922	+	0.620264i
$135$	−11.3766	+	11.1298i	−0.979142	+	0.957896i
$136$	4.03503	+	0.847662i	0.346001	+	0.0726864i
$137$	12.3373	+	12.3373i	1.05405	+	1.05405i	0.998453	+	0.0555950i	$0.0177056\pi$
$137$	12.3373	+	12.3373i	1.05405	+	1.05405i	0.0555950	+	0.998453i	$0.482294\pi$
$138$	−0.872647	−	2.10676i	−0.0742847	−	0.179339i
$139$	1.10884	−	1.65949i	0.0940503	−	0.140756i	−0.781461	−	0.623955i	$-0.785525\pi$
$139$	1.10884	−	1.65949i	0.0940503	−	0.140756i	0.875511	+	0.483198i	$0.160525\pi$
$140$	−9.69372	−	0.106324i	−0.819268	−	0.00898600i
$141$	33.6926	−	6.70187i	2.83743	−	0.564399i
$142$	1.57540	+	0.313366i	0.132204	+	0.0262971i
$143$	−0.567206	+	0.378995i	−0.0474322	+	0.0316932i
$144$	−2.08513	−	5.03395i	−0.173761	−	0.419496i
$145$	18.9503	−	7.60708i	1.57374	−	0.631733i
$146$	0.159054	−	0.799618i	0.0131634	−	0.0661769i
$147$	−6.68900	+	33.6279i	−0.551699	+	2.77358i
$148$	−1.59729	−	1.06727i	−0.131296	−	0.0877294i
$149$	−6.12503	−	6.12503i	−0.501782	−	0.501782i	0.410209	−	0.911991i	$-0.365456\pi$
$149$	−6.12503	−	6.12503i	−0.501782	−	0.501782i	−0.911991	+	0.410209i	$0.865456\pi$
$150$	−8.33739	+	11.9040i	−0.680745	+	0.971958i
$151$	−20.9830	−	8.69145i	−1.70757	−	0.707300i	−1.00000		0.000659759i	$-0.999790\pi$
$151$	−20.9830	−	8.69145i	−1.70757	−	0.707300i	−0.707573	−	0.706640i	$-0.750210\pi$
$152$	1.34721	−	1.34721i	0.109273	−	0.109273i
$153$	−12.2803	−	18.8121i	−0.992807	−	1.52087i
$154$			0.888527i			0.0715995i
$155$	7.67639	−	17.9724i	0.616583	−	1.44357i
$156$	−8.04446	−	5.37513i	−0.644072	−	0.430355i
$157$			4.30033i			0.343204i	0.985166	+	0.171602i	$0.0548943\pi$
$157$			4.30033i			0.343204i	−0.985166	+	0.171602i	$0.945106\pi$
$158$	−6.88525	+	10.3045i	−0.547761	+	0.819782i
$159$	−8.35516	−	12.5044i	−0.662607	−	0.991661i
$160$	−1.22183	−	1.87274i	−0.0965939	−	0.148053i
$161$	−3.14232	+	1.30159i	−0.247650	+	0.102580i
$162$	−1.66171	+	4.01173i	−0.130556	+	0.315191i
$163$	2.21819	+	3.31976i	0.173742	+	0.260024i	0.908113	−	0.418724i	$-0.137523\pi$
$163$	2.21819	+	3.31976i	0.173742	+	0.260024i	−0.734371	+	0.678748i	$0.762523\pi$
$164$	−2.90753	+	1.94275i	−0.227040	+	0.151703i
$165$	1.09937	+	0.752148i	0.0855861	+	0.0585546i
$166$	0.497916	−	0.497916i	0.0386458	−	0.0386458i
$167$	12.1658	−	2.41993i	0.941419	−	0.187260i	0.299556	−	0.954079i	$-0.403162\pi$
$167$	12.1658	−	2.41993i	0.941419	−	0.187260i	0.641864	+	0.766819i	$0.278162\pi$
$168$	−11.6424	+	4.82243i	−0.898229	+	0.372059i
$169$	1.92074			0.147750
$170$	−6.37632	−	6.65902i	−0.489042	−	0.510723i
$171$	−10.3811			−0.793863
$172$	−6.29559	+	2.60772i	−0.480035	+	0.198837i
$173$	13.5261	−	2.69051i	1.02837	−	0.204556i	0.348054	−	0.937474i	$-0.386843\pi$
$173$	13.5261	−	2.69051i	1.02837	−	0.204556i	0.680316	+	0.732919i	$0.261843\pi$
$174$	18.7696	−	18.7696i	1.42292	−	1.42292i
$175$	17.7554	+	12.4356i	1.34218	+	0.940043i
$176$	−0.170406	+	0.113862i	−0.0128449	+	0.00858266i
$177$	6.66994	+	9.98227i	0.501344	+	0.750314i
$178$	−2.00541	+	4.84149i	−0.150312	+	0.362885i
$179$	17.1204	−	7.09151i	1.27964	−	0.530044i	0.363758	−	0.931493i	$-0.381493\pi$
$179$	17.1204	−	7.09151i	1.27964	−	0.530044i	0.915881	+	0.401449i	$0.131493\pi$
$180$	−2.50783	+	11.9228i	−0.186923	+	0.888671i
$181$	11.0377	+	16.5190i	0.820422	+	1.22785i	0.970959	+	0.239244i	$0.0768997\pi$
$181$	11.0377	+	16.5190i	0.820422	+	1.22785i	−0.150537	+	0.988604i	$0.548100\pi$
$182$	−8.01725	+	11.9987i	−0.594278	+	0.889400i
$183$		−	3.12202i		−	0.230786i
$184$	−0.652304	−	0.435856i	−0.0480885	−	0.0321317i
$185$	1.60022	+	3.98639i	0.117651	+	0.293085i
$186$		−	25.4041i		−	1.86272i
$187$	−0.603883	+	0.591078i	−0.0441603	+	0.0432239i
$188$	8.35700	−	8.35700i	0.609497	−	0.609497i
$189$	28.5087	+	11.8087i	2.07371	+	0.858957i
$190$	−4.18726	+	0.785257i	−0.303775	+	0.0569685i
$191$	−4.91463	−	4.91463i	−0.355610	−	0.355610i	0.506582	−	0.862192i	$-0.330909\pi$
$191$	−4.91463	−	4.91463i	−0.355610	−	0.355610i	−0.862192	+	0.506582i	$0.830909\pi$
$192$	−2.41680	−	1.61486i	−0.174418	−	0.116542i
$193$	−3.60610	+	18.1291i	−0.259573	+	1.30496i	0.602476	+	0.798137i	$0.294181\pi$
$193$	−3.60610	+	18.1291i	−0.259573	+	1.30496i	−0.862049	+	0.506825i	$0.830819\pi$
$194$	0.0292893	−	0.147247i	0.00210285	−	0.0105717i
$195$	8.05923	+	20.0767i	0.577134	+	1.43773i
$196$	4.51409	+	10.8980i	0.322435	+	0.778427i
$197$	−9.03509	+	6.03705i	−0.643723	+	0.430122i	−0.834118	−	0.551585i	$-0.814023\pi$
$197$	−9.03509	+	6.03705i	−0.643723	+	0.430122i	0.190395	+	0.981708i	$0.439023\pi$
$198$	1.09523	+	0.217855i	0.0778348	+	0.0154823i
$199$	−15.2386	+	3.03114i	−1.08024	+	0.214872i	−0.702960	−	0.711229i	$-0.748139\pi$
$199$	−15.2386	+	3.03114i	−1.08024	+	0.214872i	−0.377275	+	0.926101i	$0.623139\pi$
$200$	−0.109670	+	4.99880i	−0.00775484	+	0.353468i
$201$	12.5501	−	18.7826i	0.885217	−	1.32482i
$202$	−5.80059	−	14.0039i	−0.408128	−	0.985308i
$203$	−27.9957	−	27.9957i	−1.96491	−	1.96491i
$204$	−11.0224	−	4.70464i	−0.771726	−	0.329391i
$205$	7.81874	+	0.0857584i	0.546084	+	0.00598963i
$206$	1.11588	−	2.69398i	0.0777471	−	0.187698i
$207$	0.833936	+	4.19248i	0.0579626	+	0.291398i
$208$	−3.32855			−0.230794
$209$	0.0761772	+	0.382969i	0.00526929	+	0.0264905i
$210$	27.5747	+	5.80005i	1.90283	+	0.400241i
$211$	−17.6704	−	3.51487i	−1.21648	−	0.241973i	−0.455197	−	0.890391i	$-0.650431\pi$
$211$	−17.6704	−	3.51487i	−1.21648	−	0.241973i	−0.761285	+	0.648417i	$0.775431\pi$
$212$	−4.78009	−	1.97998i	−0.328298	−	0.135985i
$213$	−4.31347	−	1.78670i	−0.295554	−	0.122422i
$214$	0.576814	+	0.114735i	0.0394302	+	0.00784315i
$215$	14.9110	+	3.13637i	1.01692	+	0.213898i
$216$	1.38857	+	6.98080i	0.0944801	+	0.474983i
$217$	−37.8913			−2.57223
$218$	−0.693887	−	3.48840i	−0.0469959	−	0.236265i
$219$	−0.906866	+	2.18937i	−0.0612804	+	0.147944i
$220$	0.458245	+	0.00502618i	0.0308949	+	0.000338865i
$221$	−13.4882	+	2.53303i	−0.907313	+	0.170390i
$222$	3.94836	+	3.94836i	0.264997	+	0.264997i
$223$	3.71524	+	8.96939i	0.248791	+	0.600635i	0.998102	−	0.0615836i	$-0.0196151\pi$
$223$	3.71524	+	8.96939i	0.248791	+	0.600635i	−0.749311	+	0.662218i	$0.769615\pi$
$224$	−2.40863	+	3.60477i	−0.160933	+	0.240854i
$225$	19.6820	−	18.8369i	1.31213	−	1.25579i
$226$	−3.23682	+	0.643843i	−0.215310	+	0.0428278i
$227$	−0.519043	−	0.103244i	−0.0344501	−	0.00685255i	0.177835	−	0.984060i	$-0.443091\pi$
$227$	−0.519043	−	0.103244i	−0.0344501	−	0.00685255i	−0.212285	+	0.977208i	$0.568091\pi$
$228$	−4.60460	+	3.07669i	−0.304947	+	0.203759i
$229$	−11.2020	−	27.0440i	−0.740249	−	1.78712i	−0.604867	−	0.796326i	$-0.706774\pi$
$229$	−11.2020	−	27.0440i	−0.740249	−	1.78712i	−0.135382	−	0.990793i	$-0.543226\pi$
$230$	0.653503	+	1.62797i	0.0430907	+	0.107345i
$231$	0.503850	−	2.53303i	0.0331509	−	0.166661i
$232$	1.78160	−	8.95670i	0.116968	−	0.588036i
$233$	6.72855	+	4.49587i	0.440802	+	0.294535i	0.756097	−	0.654459i	$-0.227104\pi$
$233$	6.72855	+	4.49587i	0.440802	+	0.294535i	−0.315295	+	0.948994i	$0.602104\pi$
$234$	12.8243	+	12.8243i	0.838350	+	0.838350i
$235$	−25.9743	+	4.87110i	−1.69438	+	0.317755i
$236$	3.81596	+	1.58062i	0.248398	+	0.102890i
$237$	25.4719	−	25.4719i	1.65457	−	1.65457i
$238$	−7.01718	+	16.4405i	−0.454856	+	1.06568i
$239$			20.1335i			1.30233i	0.758937	+	0.651164i	$0.225719\pi$
$239$			20.1335i			1.30233i	−0.758937	+	0.651164i	$0.774281\pi$
$240$	2.42124	+	6.03167i	0.156291	+	0.389343i
$241$	−7.62327	−	5.09371i	−0.491058	−	0.328115i	0.285266	−	0.958448i	$-0.407918\pi$
$241$	−7.62327	−	5.09371i	−0.491058	−	0.328115i	−0.776324	+	0.630334i	$0.782918\pi$
$242$			10.9580i			0.704407i
$243$	−4.85079	+	7.25971i	−0.311178	+	0.465711i
$244$	−0.596732	−	0.893072i	−0.0382018	−	0.0571731i
$245$	5.42920	−	25.8116i	0.346859	−	1.64904i
$246$	9.39049	−	3.88967i	0.598716	−	0.247996i
$247$	−2.42686	+	5.85896i	−0.154418	+	0.372797i
$248$	−4.85565	−	7.26699i	−0.308334	−	0.461454i
$249$	−1.70182	+	1.13712i	−0.107848	+	0.0720619i
$250$	6.51392	−	9.08674i	0.411977	−	0.574696i
$251$	6.12489	−	6.12489i	0.386600	−	0.386600i	−0.486873	−	0.873473i	$-0.661863\pi$
$251$	6.12489	−	6.12489i	0.386600	−	0.386600i	0.873473	+	0.486873i	$0.161863\pi$
$252$	23.1685	−	4.60851i	1.45948	−	0.290309i
$253$	0.148545	−	0.0615294i	0.00933895	−	0.00386832i
$254$	−5.16112			−0.323837
$255$	14.4016	+	22.5994i	0.901866	+	1.41523i
$256$	−1.00000			−0.0625000
$257$	3.67244	−	1.52117i	0.229080	−	0.0948882i	−0.265191	−	0.964196i	$-0.585435\pi$
$257$	3.67244	−	1.52117i	0.229080	−	0.0948882i	0.494271	+	0.869308i	$0.335435\pi$
$258$	19.4263	−	3.86413i	1.20943	−	0.240570i
$259$	5.88916	−	5.88916i	0.365935	−	0.365935i
$260$	6.14279	+	4.20266i	0.380960	+	0.260638i
$261$	−41.3727	+	27.6444i	−2.56091	+	1.71114i
$262$	−6.06580	−	9.07811i	−0.374746	−	0.560847i
$263$	11.7756	−	28.4288i	0.726113	−	1.75299i	0.0709807	−	0.997478i	$-0.477387\pi$
$263$	11.7756	−	28.4288i	0.726113	−	1.75299i	0.655132	−	0.755514i	$-0.272613\pi$
$264$	0.550364	−	0.227968i	0.0338725	−	0.0140305i
$265$	6.32165	+	9.68940i	0.388336	+	0.595215i
$266$	4.58903	+	6.86796i	0.281371	+	0.421102i
$267$	8.46248	−	12.6650i	0.517896	−	0.775086i
$268$		−	7.77166i		−	0.474730i
$269$	13.2000	+	8.81994i	0.804817	+	0.537761i	0.888579	−	0.458724i	$-0.151693\pi$
$269$	13.2000	+	8.81994i	0.804817	+	0.537761i	−0.0837617	+	0.996486i	$0.526693\pi$
$270$	6.25144	−	14.6362i	0.380451	−	0.890730i
$271$			19.7242i			1.19816i	0.800690	+	0.599079i	$0.204466\pi$
$271$			19.7242i			1.19816i	−0.800690	+	0.599079i	$0.795534\pi$
$272$	−4.05227	+	0.761002i	−0.245705	+	0.0461425i
$273$	29.6597	−	29.6597i	1.79509	−	1.79509i
$274$	−16.1195	−	6.67691i	−0.973814	−	0.403367i
$275$	−0.839339	−	0.587861i	−0.0506141	−	0.0354493i
$276$	1.61244	+	1.61244i	0.0970576	+	0.0970576i
$277$	11.2620	+	7.52505i	0.676670	+	0.452136i	0.845830	−	0.533452i	$-0.179106\pi$
$277$	11.2620	+	7.52505i	0.676670	+	0.452136i	−0.169160	+	0.985589i	$0.554106\pi$
$278$	−0.389372	+	1.95750i	−0.0233530	+	0.117403i
$279$	−9.29046	+	46.7063i	−0.556205	+	2.79623i
$280$	8.99651	−	3.61139i	0.537645	−	0.215822i
$281$	6.96372	+	16.8119i	0.415421	+	1.00291i	0.983658	+	0.180049i	$0.0576258\pi$
$281$	6.96372	+	16.8119i	0.415421	+	1.00291i	−0.568237	+	0.822865i	$0.692374\pi$
$282$	−28.5632	+	19.0853i	−1.70091	+	1.13651i
$283$	17.6486	+	3.51053i	1.04910	+	0.208679i	0.689394	−	0.724386i	$-0.257877\pi$
$283$	17.6486	+	3.51053i	1.04910	+	0.208679i	0.359707	+	0.933065i	$0.382877\pi$
$284$	−1.57540	+	0.313366i	−0.0934827	+	0.0185949i
$285$	12.3824	+	0.135814i	0.733469	+	0.00804492i
$286$	0.378995	−	0.567206i	0.0224104	−	0.0335396i
$287$	−5.80161	−	14.0063i	−0.342458	−	0.826768i
$288$	3.85282	+	3.85282i	0.227029	+	0.227029i
$289$	−15.8418	+	6.16757i	−0.931868	+	0.362798i
$290$	−14.5967	+	14.2800i	−0.857150	+	0.838551i
$291$	−0.166997	+	0.403166i	−0.00978952	+	0.0236340i
$292$	0.159054	+	0.799618i	0.00930793	+	0.0467941i
$293$	−16.4811			−0.962835			−0.481417	−	0.876492i	$-0.659878\pi$
$293$	−16.4811			−0.962835			−0.481417	+	0.876492i	$0.659878\pi$
$294$	−6.68900	−	33.6279i	−0.390110	−	1.96122i
$295$	−5.04659	−	7.73508i	−0.293824	−	0.450354i
$296$	1.88413	+	0.374777i	0.109513	+	0.0217835i
$297$	−1.34768	−	0.558226i	−0.0782002	−	0.0323916i
$298$	8.00274	+	3.31484i	0.463586	+	0.192024i
$299$	2.56114	+	0.509442i	0.148114	+	0.0294618i
$300$	3.14728	−	14.1885i	0.181708	−	0.819171i
$301$	−5.76353	−	28.9752i	−0.332204	−	1.67010i
$302$	22.7118			1.30692
$303$	8.59534	+	43.2117i	0.493789	+	2.48245i
$304$	−0.729105	+	1.76021i	−0.0418170	+	0.100955i
$305$	−0.0263414	+	2.40159i	−0.00150831	+	0.137515i
$306$	18.5446	+	12.6806i	1.06013	+	0.724904i
$307$	−3.83948	−	3.83948i	−0.219130	−	0.219130i	0.589001	−	0.808132i	$-0.299521\pi$
$307$	−3.83948	−	3.83948i	−0.219130	−	0.219130i	−0.808132	+	0.589001i	$0.799521\pi$
$308$	−0.340025	−	0.820892i	−0.0193747	−	0.0467747i
$309$	−4.70882	+	7.04725i	−0.267876	+	0.400904i
$310$	−0.214342	+	19.5419i	−0.0121738	+	1.10991i
$311$	0.370233	−	0.0736439i	0.0209940	−	0.00417596i	−0.184582	−	0.982817i	$-0.559093\pi$
$311$	0.370233	−	0.0736439i	0.0209940	−	0.00417596i	0.205576	+	0.978641i	$0.434093\pi$
$312$	9.48908	+	1.88750i	0.537214	+	0.106858i
$313$	12.9059	−	8.62342i	0.729482	−	0.487424i	−0.134521	−	0.990911i	$-0.542950\pi$
$313$	12.9059	−	8.62342i	0.729482	−	0.487424i	0.864003	+	0.503486i	$0.167950\pi$
$314$	−1.64567	−	3.97299i	−0.0928704	−	0.224209i
$315$	−48.5759	−	20.7479i	−2.73694	−	1.16901i
$316$	2.41778	−	12.1550i	0.136011	−	0.683771i
$317$	4.54883	−	22.8685i	0.255488	−	1.28442i	−0.613541	−	0.789663i	$-0.710255\pi$
$317$	4.54883	−	22.8685i	0.255488	−	1.28442i	0.869029	−	0.494761i	$-0.164745\pi$
$318$	12.5044	+	8.35516i	0.701211	+	0.468534i
$319$	1.32342	+	1.32342i	0.0740974	+	0.0740974i
$320$	1.84549	+	1.26261i	0.103166	+	0.0705820i
$321$	−1.57933	−	0.654179i	−0.0881495	−	0.0365127i
$322$	2.40503	−	2.40503i	0.134027	−	0.134027i
$323$	−1.61500	+	7.68771i	−0.0898611	+	0.427756i
$324$		−	4.34226i		−	0.241237i
$325$	−6.03012	−	15.5119i	−0.334491	−	0.860445i
$326$	−3.31976	−	2.21819i	−0.183865	−	0.122854i
$327$			10.3383i			0.571708i
$328$	1.94275	−	2.90753i	0.107270	−	0.160542i
$329$	28.4666	+	42.6033i	1.56941	+	2.34879i
$330$	−1.30352	−	0.274182i	−0.0717566	−	0.0150932i
$331$	−2.05592	+	0.851588i	−0.113003	+	0.0468075i	−0.438469	−	0.898746i	$-0.644479\pi$
$331$	−2.05592	+	0.851588i	−0.113003	+	0.0468075i	0.325465	+	0.945554i	$0.394479\pi$
$332$	−0.269470	+	0.650559i	−0.0147891	+	0.0357041i
$333$	−5.81526	−	8.70315i	−0.318674	−	0.476930i
$334$	−10.3137	+	6.89138i	−0.564340	+	0.377080i
$335$	−9.81257	+	14.3425i	−0.536118	+	0.783614i
$336$	8.91069	−	8.91069i	0.486118	−	0.486118i
$337$	−24.0500	+	4.78384i	−1.31009	+	0.260592i	−0.800243	−	0.599676i	$-0.795296\pi$
$337$	−24.0500	+	4.78384i	−1.31009	+	0.260592i	−0.509842	+	0.860268i	$0.670296\pi$
$338$	−1.77454	+	0.735037i	−0.0965221	+	0.0399808i
$339$	9.59267			0.521002
$340$	8.43925	+	3.71201i	0.457683	+	0.201312i
$341$	1.79121			0.0969997
$342$	9.59089	−	3.97268i	0.518616	−	0.214818i
$343$	−20.3927	+	4.05635i	−1.10110	+	0.219022i
$344$	4.81844	−	4.81844i	0.259793	−	0.259793i
$345$	−0.939854	−	5.01162i	−0.0506000	−	0.269817i
$346$	−11.4669	+	7.66192i	−0.616463	+	0.411907i
$347$	2.45220	+	3.66998i	0.131641	+	0.197015i	0.891434	−	0.453150i	$-0.149700\pi$
$347$	2.45220	+	3.66998i	0.131641	+	0.197015i	−0.759793	+	0.650165i	$0.774700\pi$
$348$	−10.1580	+	24.5236i	−0.544527	+	1.31460i
$349$	−2.43735	+	1.00958i	−0.130468	+	0.0540418i	−0.446963	−	0.894553i	$-0.647494\pi$
$349$	−2.43735	+	1.00958i	−0.130468	+	0.0540418i	0.316494	+	0.948594i	$0.397494\pi$
$350$	−21.1627	−	4.69431i	−1.13119	−	0.250921i
$351$	−13.1621	−	19.6985i	−0.702542	−	1.05143i
$352$	0.113862	−	0.170406i	0.00606886	−	0.00908269i
$353$			7.64333i			0.406813i	0.979094	+	0.203407i	$0.0652014\pi$
$353$			7.64333i			0.406813i	−0.979094	+	0.203407i	$0.934799\pi$
$354$	−9.98227	−	6.66994i	−0.530552	−	0.354503i
$355$	3.30303	+	1.41080i	0.175307	+	0.0748775i
$356$		−	5.24039i		−	0.277740i
$357$	29.3275	−	42.8896i	1.55217	−	2.26996i
$358$	−13.1034	+	13.1034i	−0.692536	+	0.692536i
$359$	−15.2351	−	6.31059i	−0.804079	−	0.333060i	−0.0574900	−	0.998346i	$-0.518310\pi$
$359$	−15.2351	−	6.31059i	−0.804079	−	0.333060i	−0.746589	+	0.665286i	$0.768310\pi$
$360$	−2.24571	−	11.9749i	−0.118360	−	0.631134i
$361$	−10.8683	−	10.8683i	−0.572014	−	0.572014i
$362$	−16.5190	−	11.0377i	−0.868220	−	0.580126i
$363$	6.21387	−	31.2392i	0.326143	−	1.63963i
$364$	2.81529	−	14.1534i	0.147561	−	0.741839i
$365$	0.716074	−	1.67651i	0.0374810	−	0.0877524i
$366$	1.19474	+	2.88437i	0.0624503	+	0.150768i
$367$	0.763616	−	0.510232i	0.0398605	−	0.0266339i	−0.535480	−	0.844548i	$-0.679869\pi$
$367$	0.763616	−	0.510232i	0.0398605	−	0.0266339i	0.575341	+	0.817914i	$0.304869\pi$
$368$	0.769445	+	0.153052i	0.0401101	+	0.00797840i
$369$	−18.6872	+	3.71712i	−0.972819	+	0.193506i
$370$	−3.00394	−	3.07057i	−0.156167	−	0.159631i
$371$	12.4621	−	18.6508i	0.647000	−	0.968303i
$372$	9.72172	+	23.4703i	0.504048	+	1.21688i
$373$	−20.4777	−	20.4777i	−1.06030	−	1.06030i	−0.998061	−	0.0622355i	$-0.980177\pi$
$373$	−20.4777	−	20.4777i	−1.06030	−	1.06030i	−0.0622355	−	0.998061i	$-0.519823\pi$
$374$	0.331719	−	0.777181i	0.0171528	−	0.0401871i
$375$	−23.7227	+	22.2108i	−1.22504	+	1.14696i
$376$	−4.52277	+	10.9189i	−0.233244	+	0.563101i
$377$	5.93014	+	29.8128i	0.305418	+	1.53544i
$378$	−30.8576			−1.58715
$379$	1.18087	+	5.93665i	0.0606573	+	0.304945i	0.999190	−	0.0402460i	$-0.0128141\pi$
$379$	1.18087	+	5.93665i	0.0606573	+	0.304945i	−0.938532	+	0.345191i	$0.887814\pi$
$380$	3.56802	−	2.32788i	0.183035	−	0.119418i
$381$	14.7134	+	2.92668i	0.753790	+	0.149938i
$382$	6.42127	+	2.65978i	0.328541	+	0.136086i
$383$	−26.9957	−	11.1820i	−1.37942	−	0.571374i	−0.435092	−	0.900386i	$-0.643284\pi$
$383$	−26.9957	−	11.1820i	−1.37942	−	0.571374i	−0.944326	+	0.329012i	$0.893284\pi$
$384$	2.85081	+	0.567062i	0.145480	+	0.0289378i
$385$	−0.408955	+	1.94426i	−0.0208423	+	0.0990888i
$386$	−3.60610	−	18.1291i	−0.183546	−	0.922747i
$387$	−37.1291			−1.88738
$388$	0.0292893	+	0.147247i	0.00148694	+	0.00747535i
$389$	10.1663	−	24.5436i	0.515451	−	1.24441i	−0.425221	−	0.905090i	$-0.639804\pi$
$389$	10.1663	−	24.5436i	0.515451	−	1.24441i	0.940672	−	0.339318i	$-0.110196\pi$
$390$	−15.1288	−	15.4644i	−0.766076	−	0.783068i
$391$	3.23447	+	0.0346593i	0.163574	+	0.00175279i
$392$	−8.34095	−	8.34095i	−0.421282	−	0.421282i
$393$	12.1446	+	29.3197i	0.612615	+	1.47898i
$394$	6.03705	−	9.03509i	0.304142	−	0.455181i
$395$	−19.8090	+	19.3791i	−0.996697	+	0.975070i
$396$	−1.09523	+	0.217855i	−0.0550375	+	0.0109476i
$397$	−18.6768	−	3.71505i	−0.937363	−	0.186453i	−0.297307	−	0.954782i	$-0.596089\pi$
$397$	−18.6768	−	3.71505i	−0.937363	−	0.186453i	−0.640055	+	0.768329i	$0.721089\pi$
$398$	12.9187	−	8.63197i	0.647554	−	0.432681i
$399$	−9.18790	−	22.1816i	−0.459970	−	1.11047i
$400$	−1.81163	−	4.66026i	−0.0905817	−	0.233013i
$401$	−1.47933	+	7.43709i	−0.0738742	+	0.371391i	−0.999983	−	0.00586632i	$-0.998133\pi$
$401$	−1.47933	+	7.43709i	−0.0738742	+	0.371391i	0.926109	+	0.377257i	$0.123133\pi$
$402$	−4.40702	+	22.1556i	−0.219802	+	1.10502i
$403$	24.1886	+	16.1623i	1.20492	+	0.805100i
$404$	10.7181	+	10.7181i	0.533245	+	0.533245i
$405$	−5.48258	+	8.01359i	−0.272432	+	0.398198i
$406$	36.5781	+	15.1511i	1.81534	+	0.751938i
$407$	−0.278395	+	0.278395i	−0.0137995	+	0.0137995i
$408$	11.9838	+	0.128413i	0.593287	+	0.00635741i
$409$		−	10.2044i		−	0.504575i	−0.967652	−	0.252287i	$-0.918817\pi$
$409$		−	10.2044i		−	0.504575i	0.967652	−	0.252287i	$-0.0811828\pi$
$410$	−7.25639	+	2.91287i	−0.358368	+	0.143856i
$411$	42.1674	+	28.1754i	2.07997	+	1.38979i
$412$			2.91594i			0.143658i
$413$	−9.94852	+	14.8890i	−0.489535	+	0.732640i
$414$	−2.37485	−	3.55421i	−0.116717	−	0.174680i
$415$	1.31871	−	0.860362i	0.0647327	−	0.0422335i
$416$	3.07518	−	1.27378i	0.150773	−	0.0624523i
$417$	2.22005	−	5.35968i	0.108716	−	0.262465i
$418$	−0.216934	−	0.324665i	−0.0106106	−	0.0158799i
$419$	6.68327	−	4.46562i	0.326499	−	0.218160i	−0.381507	−	0.924366i	$-0.624595\pi$
$419$	6.68327	−	4.46562i	0.326499	−	0.218160i	0.708006	+	0.706206i	$0.249595\pi$
$420$	−27.6953	+	5.19383i	−1.35139	+	0.253433i
$421$	8.14770	−	8.14770i	0.397094	−	0.397094i	−0.480113	−	0.877207i	$-0.659404\pi$
$421$	8.14770	−	8.14770i	0.397094	−	0.397094i	0.877207	+	0.480113i	$0.159404\pi$
$422$	17.6704	−	3.51487i	0.860183	−	0.171101i
$423$	59.4941	−	24.6433i	2.89270	−	1.19820i
$424$	5.17393			0.251268
$425$	−10.8877	−	17.5059i	−0.528131	−	0.849163i
$426$	4.66887			0.226207
$427$	4.30216	−	1.78201i	0.208196	−	0.0862377i
$428$	−0.576814	+	0.114735i	−0.0278814	+	0.00554595i
$429$	−1.40209	+	1.40209i	−0.0676933	+	0.0676933i
$430$	−14.9762	+	2.80855i	−0.722215	+	0.135440i
$431$	8.95105	−	5.98090i	0.431157	−	0.288090i	−0.320993	−	0.947081i	$-0.604017\pi$
$431$	8.95105	−	5.98090i	0.431157	−	0.288090i	0.752150	+	0.658992i	$0.229017\pi$
$432$	−3.95431	−	5.91804i	−0.190252	−	0.284732i
$433$	−10.7395	+	25.9274i	−0.516107	+	1.24599i	0.424170	+	0.905582i	$0.360566\pi$
$433$	−10.7395	+	25.9274i	−0.516107	+	1.24599i	−0.940277	+	0.340410i	$0.889434\pi$
$434$	35.0070	−	14.5004i	1.68039	−	0.696040i
$435$	49.7102	−	32.4324i	2.38342	−	1.55501i
$436$	1.97602	+	2.95733i	0.0946343	+	0.141630i
$437$	0.830411	−	1.24280i	0.0397239	−	0.0594511i
$438$		−	2.36976i		−	0.113231i
$439$	−4.11795	−	2.75152i	−0.196539	−	0.131323i	0.453407	−	0.891304i	$-0.350208\pi$
$439$	−4.11795	−	2.75152i	−0.196539	−	0.131323i	−0.649946	+	0.759981i	$0.725208\pi$
$440$	−0.425287	+	0.170719i	−0.0202748	+	0.00813873i
$441$			64.2723i			3.06058i
$442$	11.4921	−	7.50192i	0.546624	−	0.356830i
$443$	14.5879	−	14.5879i	0.693094	−	0.693094i	−0.269818	−	0.962911i	$-0.586963\pi$
$443$	14.5879	−	14.5879i	0.693094	−	0.693094i	0.962911	+	0.269818i	$0.0869634\pi$
$444$	−5.15878	−	2.13684i	−0.244825	−	0.101410i
$445$	−6.61657	+	9.67107i	−0.313655	+	0.458453i
$446$	−6.86488	−	6.86488i	−0.325061	−	0.325061i
$447$	−20.9346	−	13.9881i	−0.990173	−	0.661612i
$448$	0.845799	−	4.25212i	0.0399602	−	0.200894i
$449$	−5.09616	+	25.6201i	−0.240503	+	1.20909i	0.652061	+	0.758166i	$0.273905\pi$
$449$	−5.09616	+	25.6201i	−0.240503	+	1.20909i	−0.892564	+	0.450922i	$0.851095\pi$
$450$	−10.9752	+	24.9350i	−0.517376	+	1.17545i
$451$	0.274256	+	0.662114i	0.0129142	+	0.0311777i
$452$	2.74404	−	1.83351i	0.129069	−	0.0862411i
$453$	−64.7473	−	12.8790i	−3.04209	−	0.605110i
$454$	0.519043	−	0.103244i	0.0243599	−	0.00484548i
$455$	−23.0658	+	22.5653i	−1.08134	+	1.05788i
$456$	3.07669	−	4.60460i	0.144079	−	0.215630i
$457$	13.5785	+	32.7813i	0.635173	+	1.53344i	0.833038	+	0.553215i	$0.186599\pi$
$457$	13.5785	+	32.7813i	0.635173	+	1.53344i	−0.197865	+	0.980229i	$0.563401\pi$
$458$	20.6986	+	20.6986i	0.967182	+	0.967182i
$459$	−20.5275	−	20.9722i	−0.958144	−	0.978900i
$460$	−1.22676	−	1.25396i	−0.0571978	−	0.0584664i
$461$	−6.81224	+	16.4462i	−0.317277	+	0.765976i	0.682119	+	0.731241i	$0.261059\pi$
$461$	−6.81224	+	16.4462i	−0.317277	+	0.765976i	−0.999397	+	0.0347345i	$0.988941\pi$
$462$	0.503850	+	2.53303i	0.0234412	+	0.117847i
$463$	33.8924			1.57511			0.787557	−	0.616242i	$-0.211346\pi$
$463$	33.8924			1.57511			0.787557	+	0.616242i	$0.211346\pi$
$464$	1.78160	+	8.95670i	0.0827087	+	0.415804i
$465$	11.6925	−	55.5888i	0.542228	−	2.57787i
$466$	−7.93687	−	1.57874i	−0.367668	−	0.0731338i
$467$	12.0397	+	4.98700i	0.557130	+	0.230771i	0.643439	−	0.765498i	$-0.277507\pi$
$467$	12.0397	+	4.98700i	0.557130	+	0.230771i	−0.0863086	+	0.996268i	$0.527507\pi$
$468$	−16.7557	−	6.94046i	−0.774535	−	0.320823i
$469$	33.0460	+	6.57326i	1.52592	+	0.303525i
$470$	22.1331	−	14.4403i	1.02092	−	0.666079i
$471$	2.43856	+	12.2595i	0.112363	+	0.564886i
$472$	−4.13036			−0.190115
$473$	0.272456	+	1.36973i	0.0125275	+	0.0629802i
$474$	−13.7853	+	33.2806i	−0.633178	+	1.52863i
$475$	−9.52392	−	0.208948i	−0.436987	−	0.00958719i
$476$	0.191534	−	17.8744i	0.00877897	−	0.819271i
$477$	−19.9342	−	19.9342i	−0.912724	−	0.912724i
$478$	−7.70476	−	18.6009i	−0.352407	−	0.850787i
$479$	0.00324632	−	0.00485846i	0.000148328	−	0.000221989i	−0.831395	−	0.555681i	$-0.812458\pi$
$479$	0.00324632	−	0.00485846i	0.000148328	−	0.000221989i	0.831544	+	0.555459i	$0.187458\pi$
$480$	−4.54516	−	4.64597i	−0.207457	−	0.212059i
$481$	−6.27142	+	1.24746i	−0.285952	+	0.0568795i
$482$	8.99226	+	1.78867i	0.409586	+	0.0814718i
$483$	−8.22009	+	5.49249i	−0.374027	+	0.249917i
$484$	−4.19344	−	10.1239i	−0.190611	−	0.460176i
$485$	0.131863	−	0.308724i	0.00598758	−	0.0140184i
$486$	1.70337	−	8.56342i	0.0772664	−	0.388444i
$487$	5.65336	−	28.4214i	0.256178	−	1.28790i	−0.611689	−	0.791099i	$-0.709509\pi$
$487$	5.65336	−	28.4214i	0.256178	−	1.28790i	0.867867	−	0.496797i	$-0.165491\pi$
$488$	0.893072	+	0.596732i	0.0404275	+	0.0270128i
$489$	8.20617	+	8.20617i	0.371096	+	0.371096i
$490$	4.86174	+	25.9245i	0.219631	+	1.17115i
$491$	−28.8893	−	11.9663i	−1.30376	−	0.540034i	−0.380700	−	0.924698i	$-0.624317\pi$
$491$	−28.8893	−	11.9663i	−1.30376	−	0.540034i	−0.923056	+	0.384665i	$0.874317\pi$
$492$	−7.18717	+	7.18717i	−0.324023	+	0.324023i
$493$	14.0356	+	34.9392i	0.632131	+	1.57358i
$494$		−	6.34170i		−	0.285326i
$495$	2.29630	+	0.980802i	0.103211	+	0.0440838i
$496$	7.26699	+	4.85565i	0.326298	+	0.218025i
$497$		−	6.96382i		−	0.312370i
$498$	1.13712	−	1.70182i	0.0509555	−	0.0762602i
$499$	−3.60412	−	5.39395i	−0.161343	−	0.241466i	0.741986	−	0.670415i	$-0.233884\pi$
$499$	−3.60412	−	5.39395i	−0.161343	−	0.241466i	−0.903329	+	0.428949i	$0.858884\pi$
$500$	−2.54074	+	10.8878i	−0.113625	+	0.486918i
$501$	33.3102	−	13.7976i	1.48819	−	0.616429i
$502$	−3.31477	+	8.00255i	−0.147945	+	0.357171i
$503$	−14.5628	−	21.7947i	−0.649322	−	0.971779i	−0.999385	−	0.0350533i	$-0.988840\pi$
$503$	−14.5628	−	21.7947i	−0.649322	−	0.971779i	0.350063	−	0.936726i	$-0.386160\pi$
$504$	−19.6413	+	13.1239i	−0.874895	+	0.584586i
$505$	−6.24732	−	33.3128i	−0.278002	−	1.48240i
$506$	−0.113692	+	0.113692i	−0.00505421	+	0.00505421i
$507$	5.47569	−	1.08918i	0.243184	−	0.0483723i
$508$	4.76825	−	1.97507i	0.211557	−	0.0876298i
$509$	−37.2931			−1.65299			−0.826495	−	0.562944i	$-0.809669\pi$
$509$	−37.2931			−1.65299			−0.826495	+	0.562944i	$0.809669\pi$
$510$	−21.9538	−	15.3678i	−0.972130	−	0.680500i
$511$	−3.53460			−0.156361
$512$	0.923880	−	0.382683i	0.0408301	−	0.0169124i
$513$	−13.3001	+	2.64556i	−0.587215	+	0.116804i
$514$	−2.81076	+	2.81076i	−0.123977	+	0.123977i
$515$	3.68169	−	5.38132i	0.162235	−	0.237129i
$516$	−16.4688	+	11.0041i	−0.725000	+	0.484429i
$517$	−1.34569	−	2.01396i	−0.0591832	−	0.0885739i
$518$	−3.18719	+	7.69456i	−0.140037	+	0.338079i
$519$	37.0347	−	15.3403i	1.62564	−	0.673364i
$520$	−7.28349	−	1.53201i	−0.319402	−	0.0671829i
$521$	−3.95806	−	5.92366i	−0.173406	−	0.259520i	0.734579	−	0.678523i	$-0.237380\pi$
$521$	−3.95806	−	5.92366i	−0.173406	−	0.259520i	−0.907985	+	0.419003i	$0.862380\pi$
$522$	27.6444	−	41.3727i	1.20996	−	1.81083i
$523$			25.1852i			1.10127i	0.834745	+	0.550637i	$0.185615\pi$
$523$			25.1852i			1.10127i	−0.834745	+	0.550637i	$0.814385\pi$
$524$	9.07811	+	6.06580i	0.396579	+	0.264986i
$525$	57.6690	+	25.3832i	2.51688	+	1.10781i
$526$			30.7711i			1.34168i
$527$	33.1430	+	14.1462i	1.44373	+	0.616218i
$528$	−0.421230	+	0.421230i	−0.0183317	+	0.0183317i
$529$	20.6806	+	8.56619i	0.899157	+	0.372443i
$530$	−9.54841	−	6.53265i	−0.414757	−	0.283760i
$531$	15.9135	+	15.9135i	0.690588	+	0.690588i
$532$	−6.86796	−	4.58903i	−0.297764	−	0.198960i
$533$	−2.27075	+	11.4158i	−0.0983570	+	0.494474i
$534$	−2.97163	+	14.9394i	−0.128595	+	0.646491i
$535$	1.20937	+	0.516548i	0.0522855	+	0.0223323i
$536$	2.97409	+	7.18008i	0.128461	+	0.310132i
$537$	44.7858	−	29.9249i	1.93265	−	1.29136i
$538$	−15.5704	−	3.09715i	−0.671289	−	0.133528i
$539$	2.37107	−	0.471634i	0.102129	−	0.0203147i
$540$	−0.174554	+	15.9144i	−0.00751162	+	0.684847i
$541$	3.83883	−	5.74521i	0.165044	−	0.247006i	−0.739724	−	0.672910i	$-0.765044\pi$
$541$	3.83883	−	5.74521i	0.165044	−	0.247006i	0.904768	+	0.425904i	$0.140044\pi$
$542$	−7.54811	−	18.2228i	−0.324219	−	0.782734i
$543$	40.8336	+	40.8336i	1.75234	+	1.75234i
$544$	3.45258	−	2.25381i	0.148028	−	0.0966313i
$545$	0.0872272	−	7.95265i	0.00373640	−	0.340654i
$546$	−16.0517	+	38.7523i	−0.686950	+	1.65844i
$547$	−5.89185	−	29.6203i	−0.251917	−	1.26647i	−0.874925	−	0.484258i	$-0.839090\pi$
$547$	−5.89185	−	29.6203i	−0.251917	−	1.26647i	0.623008	−	0.782215i	$-0.285910\pi$
$548$	17.4476			0.745325
$549$	−1.14175	−	5.73994i	−0.0487285	−	0.244975i
$550$	1.00041	+	0.221911i	0.0426578	+	0.00946233i
$551$	17.0647	+	3.39438i	0.726980	+	0.144605i
$552$	−2.10676	−	0.872647i	−0.0896695	−	0.0371423i
$553$	49.6395	+	20.5613i	2.11089	+	0.874357i
$554$	−13.2845	−	2.64245i	−0.564403	−	0.112267i
$555$	6.82247	+	10.4570i	0.289598	+	0.443876i
$556$	−0.389372	−	1.95750i	−0.0165130	−	0.0830166i
$557$	−8.16499			−0.345962			−0.172981	−	0.984925i	$-0.555340\pi$
$557$	−8.16499			−0.345962			−0.172981	+	0.984925i	$0.555340\pi$
$558$	−9.29046	−	46.7063i	−0.393297	−	1.97724i
$559$	−8.67993	+	20.9552i	−0.367122	+	0.886311i
$560$	−6.92967	+	6.77931i	−0.292832	+	0.286478i
$561$	−1.38638	+	2.02749i	−0.0585330	+	0.0856009i
$562$	−12.8673	−	12.8673i	−0.542773	−	0.542773i
$563$	0.275709	+	0.665621i	0.0116198	+	0.0280526i	0.929583	−	0.368613i	$-0.120167\pi$
$563$	0.275709	+	0.665621i	0.0116198	+	0.0280526i	−0.917963	+	0.396666i	$0.870167\pi$
$564$	19.0853	−	28.5632i	0.803637	−	1.20273i
$565$	−7.37910	−	0.0809363i	−0.310441	−	0.00340502i
$566$	−17.6486	+	3.51053i	−0.741827	+	0.147559i
$567$	18.4638	+	3.67268i	0.775407	+	0.154238i
$568$	1.33556	−	0.892391i	0.0560388	−	0.0374439i
$569$	−11.0704	−	26.7264i	−0.464097	−	1.12043i	−0.966700	−	0.255911i	$-0.917624\pi$
$569$	−11.0704	−	26.7264i	−0.464097	−	1.12043i	0.502604	−	0.864517i	$-0.332376\pi$
$570$	−11.4918	+	4.61306i	−0.481339	+	0.193220i
$571$	5.99542	−	30.1410i	0.250901	−	1.26136i	−0.625670	−	0.780088i	$-0.715174\pi$
$571$	5.99542	−	30.1410i	0.250901	−	1.26136i	0.876570	−	0.481274i	$-0.159826\pi$
$572$	−0.133085	+	0.669065i	−0.00556458	+	0.0279750i
$573$	−16.7976	−	11.2238i	−0.701729	−	0.468881i
$574$	10.7200	+	10.7200i	0.447444	+	0.447444i
$575$	0.680692	+	3.86309i	0.0283868	+	0.161102i
$576$	−5.03395	−	2.08513i	−0.209748	−	0.0868804i
$577$	−14.2185	+	14.2185i	−0.591924	+	0.591924i	−0.938151	−	0.346227i	$-0.887463\pi$
$577$	−14.2185	+	14.2185i	−0.591924	+	0.591924i	0.346227	+	0.938151i	$0.387463\pi$
$578$	12.2756	−	11.7605i	0.510600	−	0.489171i
$579$			53.7276i			2.23284i
$580$	8.02090	−	18.7789i	0.333050	−	0.779753i
$581$	−2.53834	−	1.69606i	−0.105308	−	0.0703645i
$582$		−	0.436383i		−	0.0180887i
$583$	−0.589113	+	0.881670i	−0.0243986	+	0.0365151i
$584$	−0.452947	−	0.677883i	−0.0187431	−	0.0280510i
$585$	22.1594	+	33.9645i	0.916179	+	1.40426i
$586$	15.2265	−	6.30703i	0.629002	−	0.260541i
$587$	−4.65734	+	11.2438i	−0.192229	+	0.464082i	−0.990380	−	0.138376i	$-0.955812\pi$
$587$	−4.65734	+	11.2438i	−0.192229	+	0.464082i	0.798151	+	0.602458i	$0.205812\pi$
$588$	19.0487	+	28.5083i	0.785554	+	1.17566i
$589$	13.8454	−	9.25119i	0.570489	−	0.381189i
$590$	7.62252	+	5.21503i	0.313814	+	0.214700i
$591$	−22.3340	+	22.3340i	−0.918697	+	0.918697i
$592$	−1.88413	+	0.374777i	−0.0774373	+	0.0154032i
$593$	8.00069	−	3.31399i	0.328549	−	0.136089i	−0.212311	−	0.977202i	$-0.568099\pi$
$593$	8.00069	−	3.31399i	0.328549	−	0.136089i	0.540860	+	0.841113i	$0.318099\pi$
$594$	1.45872			0.0598518
$595$	−22.9218	+	32.7451i	−0.939703	+	1.34242i
$596$	−8.66210			−0.354814
$597$	−41.7235	+	17.2825i	−1.70763	+	0.707324i
$598$	−2.56114	+	0.509442i	−0.104733	+	0.0208326i
$599$	−10.9709	+	10.9709i	−0.448260	+	0.448260i	−0.894776	−	0.446516i	$-0.852665\pi$
$599$	−10.9709	+	10.9709i	−0.448260	+	0.448260i	0.446516	+	0.894776i	$0.352665\pi$
$600$	2.52198	+	14.3128i	0.102959	+	0.584319i
$601$	11.5196	−	7.69712i	0.469893	−	0.313972i	−0.297983	−	0.954571i	$-0.596314\pi$
$601$	11.5196	−	7.69712i	0.469893	−	0.313972i	0.767876	+	0.640599i	$0.221314\pi$
$602$	16.4131	+	24.5640i	0.668950	+	1.00115i
$603$	16.2049	−	39.1221i	0.659915	−	1.59318i
$604$	−20.9830	+	8.69145i	−0.853786	+	0.353650i
$605$	−5.04355	+	23.9781i	−0.205050	+	0.974850i
$606$	−24.4774	−	36.6331i	−0.994328	−	1.48812i
$607$	−15.5961	+	23.3412i	−0.633025	+	0.947388i	0.366829	+	0.930288i	$0.380443\pi$
$607$	−15.5961	+	23.3412i	−0.633025	+	0.947388i	−0.999854	+	0.0170998i	$0.994557\pi$
$608$		−	1.90524i		−	0.0772678i
$609$	−95.6857	−	63.9351i	−3.87738	−	2.59078i
$610$	−0.894713	−	2.22886i	−0.0362259	−	0.0902440i
$611$		−	39.3387i		−	1.59148i
$612$	−21.9857	−	4.61866i	−0.888719	−	0.186698i
$613$	13.6504	−	13.6504i	0.551333	−	0.551333i	−0.375492	−	0.926826i	$-0.622526\pi$
$613$	13.6504	−	13.6504i	0.551333	−	0.551333i	0.926826	+	0.375492i	$0.122526\pi$
$614$	5.01652	+	2.07791i	0.202450	+	0.0838576i
$615$	22.3384	−	4.18923i	0.900772	−	0.168926i
$616$	0.628283	+	0.628283i	0.0253143	+	0.0253143i
$617$	4.29364	+	2.86892i	0.172856	+	0.115498i	0.638988	−	0.769216i	$-0.279353\pi$
$617$	4.29364	+	2.86892i	0.172856	+	0.115498i	−0.466133	+	0.884715i	$0.654353\pi$
$618$	1.65352	−	8.31280i	0.0665143	−	0.334390i
$619$	2.42896	−	12.2112i	0.0976280	−	0.490809i	−0.900774	−	0.434289i	$-0.857000\pi$
$619$	2.42896	−	12.2112i	0.0976280	−	0.490809i	0.998401	−	0.0565198i	$-0.0180004\pi$
$620$	−7.28034	−	18.1364i	−0.292386	−	0.728376i
$621$	2.13685	+	5.15882i	0.0857490	+	0.207016i
$622$	−0.313868	+	0.209720i	−0.0125850	+	0.00840900i
$623$	22.2828	+	4.43232i	0.892740	+	0.177577i
$624$	−9.48908	+	1.88750i	−0.379867	+	0.0755603i
$625$	18.4360	−	16.8854i	0.737438	−	0.675415i
$626$	−8.62342	+	12.9059i	−0.344661	+	0.515822i
$627$	0.434334	+	1.04858i	0.0173456	+	0.0418761i
$628$	3.04080	+	3.04080i	0.121341	+	0.121341i
$629$	−7.34979	+	2.95252i	−0.293055	+	0.117725i
$630$	52.8182	+	0.579327i	2.10433	+	0.0230809i
$631$	6.61850	−	15.9785i	0.263478	−	0.636093i	−0.735671	−	0.677339i	$-0.763133\pi$
$631$	6.61850	−	15.9785i	0.263478	−	0.636093i	0.999149	+	0.0412464i	$0.0131329\pi$
$632$	2.41778	+	12.1550i	0.0961740	+	0.483499i
$633$	−52.3683			−2.08145
$634$	4.54883	+	22.8685i	0.180657	+	0.908225i
$635$	−11.2935	−	2.37547i	−0.448168	−	0.0942676i
$636$	−14.7499	−	2.93394i	−0.584872	−	0.116338i
$637$	36.2745	+	15.0254i	1.43725	+	0.595327i
$638$	−1.72913	−	0.716231i	−0.0684571	−	0.0283559i
$639$	−8.58388	−	1.70744i	−0.339573	−	0.0675452i
$640$	−2.18819	−	0.460262i	−0.0864957	−	0.0181935i
$641$	−3.24162	−	16.2967i	−0.128036	−	0.643683i	−0.990494	−	0.137554i	$-0.956076\pi$
$641$	−3.24162	−	16.2967i	−0.128036	−	0.643683i	0.862458	−	0.506129i	$-0.168924\pi$
$642$	1.70945			0.0674667
$643$	−5.69028	−	28.6070i	−0.224403	−	1.12815i	−0.914548	−	0.404478i	$-0.867453\pi$
$643$	−5.69028	−	28.6070i	−0.224403	−	1.12815i	0.690145	−	0.723671i	$-0.257547\pi$
$644$	−1.30159	+	3.14232i	−0.0512899	+	0.123825i
$645$	44.2869	+	0.485753i	1.74380	+	0.0191265i
$646$	−1.44989	−	7.72055i	−0.0570453	−	0.303761i
$647$	−24.7423	−	24.7423i	−0.972719	−	0.972719i	0.0269187	−	0.999638i	$-0.491430\pi$
$647$	−24.7423	−	24.7423i	−0.972719	−	0.972719i	−0.999638	+	0.0269187i	$0.991430\pi$
$648$	1.66171	+	4.01173i	0.0652782	+	0.157596i
$649$	0.470291	−	0.703840i	0.0184605	−	0.0276281i
$650$	11.5073	+	12.0235i	0.451352	+	0.471600i
$651$	−108.021	+	21.4867i	−4.23368	+	0.842132i
$652$	3.91593	+	0.778926i	0.153360	+	0.0305051i
$653$	−2.05543	+	1.37339i	−0.0804352	+	0.0537451i	−0.595138	−	0.803624i	$-0.702902\pi$
$653$	−2.05543	+	1.37339i	−0.0804352	+	0.0537451i	0.514702	+	0.857369i	$0.327902\pi$
$654$	−3.95629	−	9.55132i	−0.154703	−	0.373486i
$655$	−9.09478	−	22.6564i	−0.355363	−	0.885260i
$656$	−0.682203	+	3.42967i	−0.0266355	+	0.133906i
$657$	−0.866638	+	4.35688i	−0.0338108	+	0.169978i
$658$	−42.6033	−	28.4666i	−1.66085	−	1.10974i
$659$	6.38040	+	6.38040i	0.248545	+	0.248545i	0.820373	−	0.571828i	$-0.193766\pi$
$659$	6.38040	+	6.38040i	0.248545	+	0.248545i	−0.571828	+	0.820373i	$0.693766\pi$
$660$	1.30922	−	0.245525i	0.0509614	−	0.00955705i
$661$	−36.7694	−	15.2304i	−1.43016	−	0.592394i	−0.472772	−	0.881185i	$-0.656747\pi$
$661$	−36.7694	−	15.2304i	−1.43016	−	0.592394i	−0.957392	+	0.288791i	$0.906747\pi$
$662$	1.57353	−	1.57353i	0.0611570	−	0.0611570i
$663$	−37.0159	+	14.8698i	−1.43758	+	0.577497i
$664$		−	0.704160i		−	0.0273267i
$665$	6.88058	+	17.1405i	0.266817	+	0.664682i
$666$	8.70315	+	5.81526i	0.337240	+	0.225337i
$667$		−	7.16437i		−	0.277406i
$668$	6.89138	−	10.3137i	0.266636	−	0.399048i
$669$	15.6777	+	23.4633i	0.606134	+	0.907144i
$670$	3.57700	−	17.0058i	0.138192	−	0.656993i
$671$	−0.203374	+	0.0842402i	−0.00785116	+	0.00325206i
$672$	−4.82243	+	11.6424i	−0.186029	+	0.449115i
$673$	−16.3970	−	24.5399i	−0.632059	−	0.945944i	−0.999871	−	0.0160435i	$-0.994893\pi$
$673$	−16.3970	−	24.5399i	−0.632059	−	0.945944i	0.367812	−	0.929900i	$-0.380107\pi$
$674$	20.3886	−	13.6232i	0.785339	−	0.524747i
$675$	20.4158	−	29.1494i	0.785805	−	1.12196i
$676$	1.35817	−	1.35817i	0.0522374	−	0.0522374i
$677$	19.6946	−	3.91750i	0.756925	−	0.150562i	0.198482	−	0.980105i	$-0.436399\pi$
$677$	19.6946	−	3.91750i	0.756925	−	0.150562i	0.558443	+	0.829543i	$0.311399\pi$
$678$	−8.86247	+	3.67095i	−0.340361	+	0.140982i
$679$	−0.650886			−0.0249787
$680$	−9.21738	−	0.199892i	−0.353470	−	0.00766552i
$681$	−1.53824			−0.0589455
$682$	−1.65487	+	0.685468i	−0.0633681	+	0.0262479i
$683$	16.7376	−	3.32933i	0.640448	−	0.127393i	0.135825	−	0.990733i	$-0.456631\pi$
$683$	16.7376	−	3.32933i	0.640448	−	0.127393i	0.504623	+	0.863340i	$0.331631\pi$
$684$	−7.34055	+	7.34055i	−0.280673	+	0.280673i
$685$	−32.1993	−	22.0295i	−1.23027	−	0.841704i
$686$	17.2881	−	11.5515i	0.660061	−	0.441039i
$687$	−47.2705	−	70.7453i	−1.80348	−	2.69910i
$688$	−2.60772	+	6.29559i	−0.0994184	+	0.240017i
$689$	−15.9108	+	6.59046i	−0.606152	+	0.251076i
$690$	2.78618	+	4.27047i	0.106068	+	0.162574i
$691$	6.72848	+	10.0699i	0.255963	+	0.383076i	0.937089	−	0.349090i	$-0.113509\pi$
$691$	6.72848	+	10.0699i	0.255963	+	0.383076i	−0.681126	+	0.732166i	$0.738509\pi$
$692$	7.66192	−	11.4669i	0.291262	−	0.435905i
$693$		−	4.84132i		−	0.183907i
$694$	−3.66998	−	2.45220i	−0.139311	−	0.0930843i
$695$	−1.75298	+	4.10417i	−0.0664944	+	0.155680i
$696$		−	26.5442i		−	1.00615i
$697$	−0.154488	+	14.4171i	−0.00585163	+	0.546086i
$698$	1.86547	−	1.86547i	0.0706090	−	0.0706090i
$699$	21.7313	+	9.00140i	0.821953	+	0.340464i
$700$	21.3482	−	3.76165i	0.806887	−	0.142177i
$701$	14.2960	+	14.2960i	0.539954	+	0.539954i	0.923515	−	0.383561i	$-0.125303\pi$
$701$	14.2960	+	14.2960i	0.539954	+	0.539954i	−0.383561	+	0.923515i	$0.625303\pi$
$702$	19.6985	+	13.1621i	0.743472	+	0.496772i
$703$	−0.714041	+	3.58972i	−0.0269305	+	0.135389i
$704$	−0.0399830	+	0.201008i	−0.00150691	+	0.00757577i
$705$	−71.2858	+	28.6157i	−2.68478	+	1.07773i
$706$	−2.92498	−	7.06152i	−0.110083	−	0.265764i
$707$	−54.6399	+	36.5092i	−2.05494	+	1.37307i
$708$	11.7749	+	2.34217i	0.442528	+	0.0880242i
$709$	23.2275	−	4.62024i	0.872327	−	0.173517i	0.261426	−	0.965224i	$-0.415807\pi$
$709$	23.2275	−	4.62024i	0.872327	−	0.173517i	0.610901	+	0.791707i	$0.290807\pi$
$710$	−3.59149	−	0.0393927i	−0.134786	−	0.00147838i
$711$	37.5157	−	56.1462i	1.40695	−	2.10565i
$712$	2.00541	+	4.84149i	0.0751560	+	0.181443i
$713$	−4.84839	−	4.84839i	−0.181574	−	0.181574i
$714$	−10.6819	+	50.8479i	−0.399761	+	1.90294i
$715$	1.09038	−	1.06672i	0.0407777	−	0.0398929i
$716$	7.09151	−	17.1204i	0.265022	−	0.639820i
$717$	11.4169	+	57.3969i	0.426374	+	2.14353i
$718$	16.4904			0.615415
$719$	4.20295	+	21.1297i	0.156744	+	0.788003i	0.976538	+	0.215345i	$0.0690877\pi$
$719$	4.20295	+	21.1297i	0.156744	+	0.788003i	−0.819794	+	0.572658i	$0.805912\pi$
$720$	6.65737	+	10.2040i	0.248106	+	0.380280i
$721$	−12.3989	−	2.46630i	−0.461760	−	0.0918497i
$722$	14.2001	+	5.88186i	0.528472	+	0.218900i
$723$	−24.6210	−	10.1983i	−0.915664	−	0.379281i
$724$	19.4855	+	3.87591i	0.724173	+	0.144047i
$725$	−38.5129	+	24.5290i	−1.43033	+	0.910984i
$726$	6.21387	+	31.2392i	0.230618	+	1.15940i
$727$	16.4509			0.610131			0.305065	−	0.952331i	$-0.401322\pi$
$727$	16.4509			0.610131			0.305065	+	0.952331i	$0.401322\pi$
$728$	2.81529	+	14.1534i	0.104341	+	0.524560i
$729$	−14.6971	+	35.4820i	−0.544338	+	1.31415i
$730$	−0.0199944	+	1.82292i	−0.000740025	+	0.0674693i
$731$	−5.77622	+	27.4959i	−0.213641	+	1.01697i
$732$	−2.20760	−	2.20760i	−0.0815952	−	0.0815952i
$733$	−14.9219	−	36.0246i	−0.551152	−	1.33060i	−0.916614	−	0.399773i	$-0.869089\pi$
$733$	−14.9219	−	36.0246i	−0.551152	−	1.33060i	0.365462	−	0.930826i	$-0.380911\pi$
$734$	−0.510232	+	0.763616i	−0.0188330	+	0.0281856i
$735$	0.840862	−	76.6628i	0.0310156	−	2.82775i
$736$	−0.769445	+	0.153052i	−0.0283621	+	0.00564158i
$737$	−1.56217	−	0.310734i	−0.0575431	−	0.0114460i
$738$	15.8423	−	10.5855i	0.583162	−	0.389656i
$739$	12.2812	+	29.6494i	0.451771	+	1.09067i	0.971648	+	0.236431i	$0.0759778\pi$
$739$	12.2812	+	29.6494i	0.451771	+	1.09067i	−0.519877	+	0.854241i	$0.674022\pi$
$740$	3.95033	+	1.68728i	0.145217	+	0.0620255i
$741$	−3.59614	+	18.0790i	−0.132107	+	0.664149i
$742$	−4.37610	+	22.0002i	−0.160652	+	0.807651i
$743$	−42.5782	−	28.4498i	−1.56204	−	1.04372i	−0.971596	−	0.236645i	$-0.923952\pi$
$743$	−42.5782	−	28.4498i	−1.56204	−	1.04372i	−0.590445	−	0.807078i	$-0.701048\pi$
$744$	−17.9634	−	17.9634i	−0.658570	−	0.658570i
$745$	15.9858	+	10.9369i	0.585674	+	0.400695i
$746$	26.7555	+	11.0825i	0.979587	+	0.405758i
$747$	−2.71300	+	2.71300i	−0.0992634	+	0.0992634i
$748$	−0.00905430	+	0.844965i	−0.000331058	+	0.0308950i
$749$		−	2.54972i		−	0.0931649i
$750$	13.4172	−	29.5984i	0.489928	−	1.08078i
$751$	22.9913	+	15.3623i	0.838965	+	0.560578i	0.899166	−	0.437608i	$-0.144174\pi$
$751$	22.9913	+	15.3623i	0.838965	+	0.560578i	−0.0602011	+	0.998186i	$0.519174\pi$
$752$		−	11.8186i		−	0.430979i
$753$	13.9877	−	20.9341i	0.509741	−	0.762882i
$754$	−16.8876	−	25.2741i	−0.615011	−	0.920429i
$755$	49.6977	+	10.4534i	1.80869	+	0.380438i
$756$	28.5087	−	11.8087i	1.03685	−	0.429479i
$757$	−11.9275	+	28.7956i	−0.433513	+	1.04659i	0.544633	+	0.838675i	$0.316669\pi$
$757$	−11.9275	+	28.7956i	−0.433513	+	1.04659i	−0.978146	+	0.207919i	$0.933331\pi$
$758$	−3.36284	−	5.03285i	−0.122144	−	0.182801i
$759$	0.388584	−	0.259643i	0.0141047	−	0.00942446i
$760$	−2.40558	+	3.51610i	−0.0872594	+	0.127542i
$761$	−27.3997	+	27.3997i	−0.993237	+	0.993237i	−0.999977	−	0.00674063i	$-0.997854\pi$
$761$	−27.3997	+	27.3997i	−0.993237	+	0.993237i	0.00674063	+	0.999977i	$0.497854\pi$
$762$	−14.7134	+	2.92668i	−0.533010	+	0.106022i
$763$	−14.2462	+	5.90098i	−0.515748	+	0.213630i
$764$	−6.95033			−0.251454
$765$	34.7427	+	36.2830i	1.25613	+	1.31181i
$766$	29.2200			1.05576
$767$	12.7016	−	5.26118i	0.458629	−	0.189970i
$768$	−2.85081	+	0.567062i	−0.102870	+	0.0204621i
$769$	16.7358	−	16.7358i	0.603507	−	0.603507i	−0.337735	−	0.941241i	$-0.609661\pi$
$769$	16.7358	−	16.7358i	0.603507	−	0.603507i	0.941241	+	0.337735i	$0.109661\pi$
$770$	−0.366212	−	1.95276i	−0.0131973	−	0.0703728i
$771$	9.60684	−	6.41909i	0.345982	−	0.231178i
$772$	10.2693	+	15.3691i	0.369601	+	0.553146i
$773$	1.38145	−	3.33513i	0.0496875	−	0.119956i	−0.897087	−	0.441854i	$-0.854321\pi$
$773$	1.38145	−	3.33513i	0.0496875	−	0.119956i	0.946774	+	0.321898i	$0.104321\pi$
$774$	34.3028	−	14.2087i	1.23299	−	0.510721i
$775$	−9.46343	+	42.6627i	−0.339936	+	1.53249i
$776$	−0.0834089	−	0.124830i	−0.00299420	−	0.00448114i
$777$	13.4494	−	20.1284i	0.482494	−	0.722103i
$778$			26.5658i			0.952429i
$779$	5.53955	+	3.70141i	0.198475	+	0.132617i
$780$	19.8951	+	8.49766i	0.712360	+	0.304265i
$781$			0.329197i			0.0117796i
$782$	−3.00153	+	1.20576i	−0.107334	+	0.0431178i
$783$	−45.9611	+	45.9611i	−1.64252	+	1.64252i
$784$	10.8980	+	4.51409i	0.389213	+	0.161217i
$785$	−1.77241	−	9.45108i	−0.0632599	−	0.337324i
$786$	−22.4403	−	22.4403i	−0.800419	−	0.800419i
$787$	37.2222	+	24.8711i	1.32683	+	0.886557i	0.998320	−	0.0579442i	$-0.0184545\pi$
$787$	37.2222	+	24.8711i	1.32683	+	0.886557i	0.328507	+	0.944502i	$0.393455\pi$
$788$	−2.11993	+	10.6576i	−0.0755194	+	0.379662i
$789$	17.4491	−	87.7226i	0.621205	−	3.12301i
$790$	10.8850	−	25.4846i	0.387272	−	0.906700i
$791$	5.47539	+	13.2188i	0.194683	+	0.470005i
$792$	0.928493	−	0.620400i	0.0329926	−	0.0220449i
$793$	−3.50646	−	0.697479i	−0.124518	−	0.0247682i
$794$	18.6768	−	3.71505i	0.662816	−	0.131842i
$795$	23.5163	+	24.0379i	0.834039	+	0.852537i
$796$	−8.63197	+	12.9187i	−0.305952	+	0.457890i
$797$	−6.32428	−	15.2682i	−0.224017	−	0.540826i	0.771411	−	0.636337i	$-0.219551\pi$
$797$	−6.32428	−	15.2682i	−0.224017	−	0.540826i	−0.995428	+	0.0955114i	$0.969551\pi$
$798$	16.9770	+	16.9770i	0.600980	+	0.600980i
$799$	−8.99396	−	47.8920i	−0.318183	−	1.69430i
$800$	3.45713	+	3.61223i	0.122228	+	0.127712i
$801$	10.9269	−	26.3799i	0.386083	−	0.932086i
$802$	−1.47933	−	7.43709i	−0.0522370	−	0.262613i
$803$	0.167089			0.00589644
$804$	−4.40702	−	22.1556i	−0.155424	−	0.781367i
$805$	6.36959	−	4.15571i	0.224499	−	0.146469i
$806$	−28.5324	−	5.67544i	−1.00501	−	0.199909i
$807$	42.6321	+	17.6588i	1.50072	+	0.621620i
$808$	−14.0039	−	5.80059i	−0.492654	−	0.204064i
$809$	−13.8880	−	2.76250i	−0.488276	−	0.0971242i	−0.0551885	−	0.998476i	$-0.517576\pi$
$809$	−13.8880	−	2.76250i	−0.488276	−	0.0971242i	−0.433088	+	0.901352i	$0.642576\pi$
$810$	1.99858	−	9.50168i	0.0702229	−	0.333855i
$811$	2.59779	+	13.0600i	0.0912209	+	0.458598i	0.999215	+	0.0396154i	$0.0126133\pi$
$811$	2.59779	+	13.0600i	0.0912209	+	0.458598i	−0.907994	+	0.418983i	$0.862387\pi$
$812$	−39.5918			−1.38940
$813$	11.1848	+	56.2299i	0.392269	+	1.97207i
$814$	0.150666	−	0.363740i	0.00528085	−	0.0127491i
$815$	−6.24331	−	6.38178i	−0.218694	−	0.223544i
$816$	−11.1207	+	4.46736i	−0.389303	+	0.156389i
$817$	9.18029	+	9.18029i	0.321178	+	0.321178i
$818$	3.90505	+	9.42763i	0.136537	+	0.329629i
$819$	43.6836	−	65.3772i	1.52643	−	2.28446i
$820$	5.58932	−	5.46804i	0.195188	−	0.190952i
$821$	34.1291	−	6.78870i	1.19111	−	0.236927i	0.440552	−	0.897727i	$-0.354783\pi$
$821$	34.1291	−	6.78870i	1.19111	−	0.236927i	0.750562	+	0.660800i	$0.229783\pi$
$822$	−49.7399	−	9.89388i	−1.73488	−	0.345089i
$823$	−17.2766	+	11.5439i	−0.602226	+	0.402394i	−0.818972	−	0.573834i	$-0.805456\pi$
$823$	−17.2766	+	11.5439i	−0.602226	+	0.402394i	0.216746	+	0.976228i	$0.430456\pi$
$824$	−1.11588	−	2.69398i	−0.0388736	−	0.0938491i
$825$	−2.72615	−	1.19992i	−0.0949125	−	0.0417760i
$826$	3.49346	−	17.5628i	0.121553	−	0.611087i
$827$	3.28843	−	16.5320i	0.114350	−	0.574875i	−0.880545	−	0.473962i	$-0.842823\pi$
$827$	3.28843	−	16.5320i	0.114350	−	0.574875i	0.994895	−	0.100914i	$-0.0321766\pi$
$828$	3.55421	+	2.37485i	0.123517	+	0.0825317i
$829$	−6.04684	−	6.04684i	−0.210015	−	0.210015i	0.594259	−	0.804274i	$-0.297446\pi$
$829$	−6.04684	−	6.04684i	−0.210015	−	0.210015i	−0.804274	+	0.594259i	$0.797446\pi$
$830$	−0.889079	+	1.29952i	−0.0308604	+	0.0451069i
$831$	36.3731	+	15.0662i	1.26177	+	0.522642i
$832$	−2.35364	+	2.35364i	−0.0815978	+	0.0815978i
$833$	47.5967	+	9.99892i	1.64913	+	0.346442i
$834$			5.80128i			0.200882i
$835$	−25.7401	+	10.3326i	−0.890773	+	0.357575i
$836$	0.324665	+	0.216934i	0.0112288	+	0.00750283i
$837$			62.2071i			2.15019i
$838$	−4.46562	+	6.68327i	−0.154262	+	0.230870i
$839$	7.84414	+	11.7396i	0.270810	+	0.405295i	0.941802	−	0.336169i	$-0.109131\pi$
$839$	7.84414	+	11.7396i	0.270810	+	0.405295i	−0.670992	+	0.741465i	$0.734131\pi$
$840$	23.5995	−	15.3970i	0.814260	−	0.531247i
$841$	50.2559	−	20.8167i	1.73296	−	0.717817i
$842$	−4.40950	+	10.6455i	−0.151961	+	0.366867i
$843$	29.3857	+	43.9788i	1.01210	+	1.51471i
$844$	−14.9803	+	10.0095i	−0.515642	+	0.344541i
$845$	−4.22133	+	0.791646i	−0.145218	+	0.0272335i
$846$	−45.5348	+	45.5348i	−1.56552	+	1.56552i
$847$	46.5947	−	9.26826i	1.60101	−	0.318461i
$848$	−4.78009	+	1.97998i	−0.164149	+	0.0679927i
$849$	52.3036			1.79506
$850$	16.7582	+	12.0068i	0.574800	+	0.411831i
$851$	1.50710			0.0516626
$852$	−4.31347	+	1.78670i	−0.147777	+	0.0612112i
$853$	−5.45336	+	1.08474i	−0.186720	+	0.0371408i	−0.287564	−	0.957761i	$-0.592845\pi$
$853$	−5.45336	+	1.08474i	−0.186720	+	0.0371408i	0.100845	+	0.994902i	$0.467845\pi$
$854$	−3.29273	+	3.29273i	−0.112675	+	0.112675i
$855$	22.8151	−	4.27863i	0.780261	−	0.146326i
$856$	0.488999	−	0.326739i	0.0167136	−	0.0111677i
$857$	4.63849	+	6.94199i	0.158448	+	0.237134i	0.902196	−	0.431326i	$-0.141954\pi$
$857$	4.63849	+	6.94199i	0.158448	+	0.237134i	−0.743748	+	0.668460i	$0.766954\pi$
$858$	0.758803	−	1.83191i	0.0259051	−	0.0625405i
$859$	25.9674	−	10.7561i	0.885997	−	0.366992i	0.107177	−	0.994240i	$-0.465819\pi$
$859$	25.9674	−	10.7561i	0.885997	−	0.366992i	0.778819	+	0.627248i	$0.215819\pi$
$860$	12.7614	−	8.32590i	0.435160	−	0.283911i
$861$	−24.4818	−	36.6396i	−0.834337	−	1.24867i
$862$	−5.98090	+	8.95105i	−0.203710	+	0.304874i
$863$		−	6.00314i		−	0.204349i	−0.994766	−	0.102175i	$-0.967420\pi$
$863$		−	6.00314i		−	0.204349i	0.994766	−	0.102175i	$-0.0325800\pi$
$864$	5.91804	+	3.95431i	0.201336	+	0.134528i
$865$	−28.6181	+	11.4879i	−0.973046	+	0.390602i
$866$		−	28.0636i		−	0.953641i
$867$	−41.6645	+	26.5658i	−1.41500	+	0.902224i
$868$	−26.7932	+	26.7932i	−0.909421	+	0.909421i
$869$	−2.34658	−	0.971985i	−0.0796022	−	0.0329723i
$870$	−33.5149	+	48.9869i	−1.13626	+	1.66081i
$871$	−18.2917	−	18.2917i	−0.619791	−	0.619791i
$872$	−2.95733	−	1.97602i	−0.100148	−	0.0669166i
$873$	−0.159589	+	0.802307i	−0.00540126	+	0.0271540i
$874$	−0.291602	+	1.46598i	−0.00986357	+	0.0495875i
$875$	−44.1474	−	20.0124i	−1.49245	−	0.676543i
$876$	0.906866	+	2.18937i	0.0306402	+	0.0739719i
$877$	11.5066	−	7.68846i	0.388550	−	0.259621i	−0.345917	−	0.938265i	$-0.612432\pi$
$877$	11.5066	−	7.68846i	0.388550	−	0.259621i	0.734467	+	0.678644i	$0.237432\pi$
$878$	4.85745	+	0.966207i	0.163931	+	0.0326079i
$879$	−46.9845	+	9.34579i	−1.58475	+	0.315226i
$880$	0.327582	−	0.320474i	0.0110428	−	0.0108032i
$881$	8.61265	−	12.8897i	0.290168	−	0.434267i	−0.657534	−	0.753425i	$-0.728400\pi$
$881$	8.61265	−	12.8897i	0.290168	−	0.434267i	0.947701	+	0.319159i	$0.103400\pi$
$882$	−24.5959	−	59.3798i	−0.828188	−	1.99942i
$883$	15.7079	+	15.7079i	0.528614	+	0.528614i	0.920159	−	0.391545i	$-0.128059\pi$
$883$	15.7079	+	15.7079i	0.528614	+	0.528614i	−0.391545	+	0.920159i	$0.628059\pi$
$884$	−7.74646	+	11.3287i	−0.260542	+	0.381026i
$885$	−18.7732	−	19.1895i	−0.631053	−	0.645049i
$886$	−7.89494	+	19.0601i	−0.265236	+	0.640335i
$887$	−3.84511	−	19.3307i	−0.129106	−	0.649061i	−0.990091	−	0.140430i	$-0.955152\pi$
$887$	−3.84511	−	19.3307i	−0.129106	−	0.649061i	0.860984	−	0.508631i	$-0.169848\pi$
$888$	5.58383			0.187381
$889$	4.36527	+	21.9457i	0.146406	+	0.736035i
$890$	2.41195	−	11.4670i	0.0808489	−	0.384373i
$891$	−0.872829	−	0.173617i	−0.0292409	−	0.00581637i
$892$	8.96939	+	3.71524i	0.300317	+	0.124396i
$893$	−20.8032	−	8.61698i	−0.696154	−	0.288356i
$894$	24.6941	+	4.91195i	0.825893	+	0.164280i
$895$	−34.7037	+	22.6417i	−1.16002	+	0.756828i
$896$	0.845799	+	4.25212i	0.0282562	+	0.142053i
$897$	7.59022			0.253430
$898$	−5.09616	−	25.6201i	−0.170061	−	0.854954i
$899$	30.5437	−	73.7391i	1.01869	−	2.45934i
$900$	0.597559	−	27.2370i	0.0199186	−	0.907899i
$901$	−17.8634	+	11.6611i	−0.595117	+	0.388486i
$902$	−0.506760	−	0.506760i	−0.0168733	−	0.0168733i
$903$	−32.8615	−	79.3347i	−1.09356	−	2.64009i
$904$	−1.83351	+	2.74404i	−0.0609816	+	0.0912655i
$905$	−31.0665	−	31.7555i	−1.03268	−	1.05559i
$906$	64.7473	−	12.8790i	2.15108	−	0.427877i
$907$	−33.2225	−	6.60837i	−1.10314	−	0.219427i	−0.390251	−	0.920708i	$-0.627612\pi$
$907$	−33.2225	−	6.60837i	−1.10314	−	0.219427i	−0.712885	+	0.701281i	$0.752612\pi$
$908$	−0.440023	+	0.294014i	−0.0146027	+	0.00975721i
$909$	31.6057	+	76.3028i	1.04829	+	2.53081i
$910$	12.6746	−	29.6745i	0.420160	−	0.983700i
$911$	−11.2044	+	56.3285i	−0.371220	+	1.86625i	0.116416	+	0.993200i	$0.462859\pi$
$911$	−11.2044	+	56.3285i	−0.371220	+	1.86625i	−0.487636	+	0.873047i	$0.662141\pi$
$912$	−1.08039	+	5.43149i	−0.0357753	+	0.179855i
$913$	0.119993	+	0.0801770i	0.00397120	+	0.00265347i
$914$	−25.0897	−	25.0897i	−0.829894	−	0.829894i
$915$	1.28676	+	6.86143i	0.0425389	+	0.226832i
$916$	−27.0440	−	11.2020i	−0.893560	−	0.370125i
$917$	−33.4707	+	33.4707i	−1.10530	+	1.10530i
$918$	26.9907	+	11.5203i	0.890826	+	0.380226i
$919$		−	52.4129i		−	1.72894i	−0.502682	−	0.864472i	$-0.667653\pi$
$919$		−	52.4129i		−	1.72894i	0.502682	−	0.864472i	$-0.332347\pi$
$920$	1.61325	+	0.689053i	0.0531871	+	0.0227174i
$921$	−13.1229	−	8.76841i	−0.432413	−	0.288929i
$922$		−	17.8012i		−	0.586252i
$923$	−2.97037	+	4.44547i	−0.0977709	+	0.146325i
$924$	−1.43484	−	2.14740i	−0.0472029	−	0.0706441i
$925$	−5.15991	−	8.10157i	−0.169657	−	0.266378i
$926$	−31.3125	+	12.9701i	−1.02899	+	0.426223i
$927$	−6.08011	+	14.6787i	−0.199697	+	0.482111i
$928$	−5.07356	−	7.59313i	−0.166548	−	0.249257i
$929$	−2.80819	+	1.87637i	−0.0921337	+	0.0615617i	−0.600784	−	0.799412i	$-0.705145\pi$
$929$	−2.80819	+	1.87637i	−0.0921337	+	0.0615617i	0.508650	+	0.860973i	$0.330145\pi$
$930$	10.4704	+	55.8319i	0.343339	+	1.83080i
$931$	15.8915	−	15.8915i	0.520824	−	0.520824i
$932$	7.93687	−	1.57874i	0.259981	−	0.0517134i
$933$	1.01370	−	0.419890i	0.0331872	−	0.0137466i
$934$	−13.0317			−0.426409
$935$	1.08357	−	1.54794i	0.0354365	−	0.0506230i
$936$	18.1363			0.592803
$937$	7.80256	−	3.23192i	0.254898	−	0.105582i	−0.251575	−	0.967838i	$-0.580949\pi$
$937$	7.80256	−	3.23192i	0.254898	−	0.105582i	0.506474	+	0.862255i	$0.330949\pi$
$938$	−33.0460	+	6.57326i	−1.07899	+	0.214625i
$939$	31.9022	−	31.9022i	1.04109	−	1.04109i
$940$	−14.9222	+	21.8110i	−0.486710	+	0.711397i
$941$	7.93491	−	5.30194i	0.258671	−	0.172838i	−0.419472	−	0.907768i	$-0.637785\pi$
$941$	7.93491	−	5.30194i	0.258671	−	0.172838i	0.678143	+	0.734930i	$0.262785\pi$
$942$	−6.94442	−	10.3931i	−0.226262	−	0.338624i
$943$	1.04984	−	2.53453i	0.0341874	−	0.0825356i
$944$	3.81596	−	1.58062i	0.124199	−	0.0514448i
$945$	−67.5223	−	14.2026i	−2.19650	−	0.462011i
$946$	−0.775889	−	1.16120i	−0.0252263	−	0.0377539i
$947$	13.0308	−	19.5020i	0.423445	−	0.633730i	−0.557003	−	0.830511i	$-0.688049\pi$
$947$	13.0308	−	19.5020i	0.423445	−	0.633730i	0.980448	+	0.196781i	$0.0630487\pi$
$948$		−	36.0226i		−	1.16996i
$949$	2.25637	+	1.50766i	0.0732449	+	0.0489407i
$950$	8.87892	−	3.45160i	0.288070	−	0.111985i
$951$		−	67.7734i		−	2.19770i
$952$	6.66327	+	16.5871i	0.215958	+	0.537590i
$953$	14.9101	−	14.9101i	0.482986	−	0.482986i	−0.423098	−	0.906084i	$-0.639057\pi$
$953$	14.9101	−	14.9101i	0.482986	−	0.482986i	0.906084	+	0.423098i	$0.139057\pi$
$954$	26.0453	+	10.7883i	0.843247	+	0.349284i
$955$	12.8267	+	8.77556i	0.415064	+	0.283970i
$956$	14.2365	+	14.2365i	0.460442	+	0.460442i
$957$	4.52330	+	3.02237i	0.146217	+	0.0976993i
$958$	−0.00113996	+	0.00573095i	−3.68303e−5	+	0.000185158i
$959$	−14.7572	+	74.1893i	−0.476534	+	2.39570i
$960$	5.97712	+	2.55296i	0.192911	+	0.0823964i
$961$	−17.3687	−	41.9317i	−0.560279	−	1.35263i
$962$	5.31666	−	3.55248i	0.171416	−	0.114536i
$963$	−3.14289	−	0.625159i	−0.101278	−	0.0201455i
$964$	−8.99226	+	1.78867i	−0.289621	+	0.0576093i
$965$	0.453316	−	41.3296i	0.0145928	−	1.33045i
$966$	5.49249	−	8.22009i	0.176718	−	0.264477i
$967$	8.95502	+	21.6193i	0.287974	+	0.695231i	0.999976	−	0.00694687i	$-0.00221128\pi$
$967$	8.95502	+	21.6193i	0.287974	+	0.695231i	−0.712002	+	0.702178i	$0.752211\pi$
$968$	7.74847	+	7.74847i	0.249045	+	0.249045i
$969$	−0.244659	+	22.8320i	−0.00785957	+	0.733471i
$970$	−0.00368190	+	0.335685i	−0.000118219	+	0.0107782i
$971$	−15.8385	+	38.2375i	−0.508281	+	1.22710i	0.436591	+	0.899660i	$0.356186\pi$
$971$	−15.8385	+	38.2375i	−0.508281	+	1.22710i	−0.944872	+	0.327439i	$0.893814\pi$
$972$	1.70337	+	8.56342i	0.0546356	+	0.274672i
$973$	8.65286			0.277398
$974$	5.65336	+	28.4214i	0.181145	+	0.910680i
$975$	−25.9870	−	40.8021i	−0.832249	−	1.30671i
$976$	−1.05345	−	0.209544i	−0.0337201	−	0.00670735i
$977$	−43.4070	−	17.9798i	−1.38871	−	0.575223i	−0.441916	−	0.897057i	$-0.645701\pi$
$977$	−43.4070	−	17.9798i	−1.38871	−	0.575223i	−0.946796	+	0.321833i	$0.895701\pi$
$978$	−10.7219	−	4.44115i	−0.342848	−	0.142012i
$979$	−1.05336	−	0.209526i	−0.0336655	−	0.00669649i
$980$	−14.4125	−	22.0906i	−0.460391	−	0.705657i
$981$	3.78078	+	19.0073i	0.120711	+	0.606856i
$982$	31.2696			0.997852
$983$	9.25506	+	46.5284i	0.295191	+	1.48402i	0.788967	+	0.614435i	$0.210616\pi$
$983$	9.25506	+	46.5284i	0.295191	+	1.48402i	−0.493777	+	0.869589i	$0.664384\pi$
$984$	3.88967	−	9.39049i	0.123998	−	0.299358i
$985$	17.3687	−	16.9918i	0.553413	−	0.541405i
$986$	−26.3378	−	26.9084i	−0.838767	−	0.856938i
$987$	105.312	+	105.312i	3.35211	+	3.35211i
$988$	2.42686	+	5.85896i	0.0772088	+	0.186398i
$989$	2.97005	−	4.44500i	0.0944422	−	0.141343i
$990$	−2.49684	−	0.0273862i	−0.0793549	−	0.000870390i
$991$	44.9876	−	8.94859i	1.42908	−	0.284261i	0.580902	−	0.813974i	$-0.302700\pi$
$991$	44.9876	−	8.94859i	1.42908	−	0.284261i	0.848177	+	0.529712i	$0.177700\pi$
$992$	−8.57200	−	1.70508i	−0.272161	−	0.0541363i
$993$	−5.37813	+	3.59355i	−0.170670	+	0.114038i
$994$	2.66494	+	6.43373i	0.0845267	+	0.204066i
$995$	32.2414	−	12.9424i	1.02212	−	0.410301i
$996$	−0.399303	+	2.00743i	−0.0126524	+	0.0636078i
$997$	−7.84644	+	39.4467i	−0.248499	+	1.24929i	0.631897	+	0.775052i	$0.282276\pi$
$997$	−7.84644	+	39.4467i	−0.248499	+	1.24929i	−0.880397	+	0.474238i	$0.842724\pi$
$998$	5.39395	+	3.60412i	0.170743	+	0.114087i
$999$	−9.66837	−	9.66837i	−0.305894	−	0.305894i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	170.2.o.b.27.5	✓	40
5.2	odd	4		850.2.v.d.843.1		40
5.3	odd	4		170.2.r.b.163.5	yes	40
5.4	even	2		850.2.s.d.707.1		40
17.12	odd	16		170.2.r.b.97.5	yes	40
85.12	even	16		850.2.s.d.743.1		40
85.29	odd	16		850.2.v.d.607.1		40
85.63	even	16	inner	170.2.o.b.63.5	yes	40

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
170.2.o.b.27.5	✓	40	1.1	even	1	trivial
170.2.o.b.63.5	yes	40	85.63	even	16	inner
170.2.r.b.97.5	yes	40	17.12	odd	16
170.2.r.b.163.5	yes	40	5.3	odd	4
850.2.s.d.707.1		40	5.4	even	2
850.2.s.d.743.1		40	85.12	even	16
850.2.v.d.607.1		40	85.29	odd	16
850.2.v.d.843.1		40	5.2	odd	4

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 170 = 2 \cdot 5 \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	170.o (of order \(16\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.923880 + 0.382683i) q^{2} +(2.85081 - 0.567062i) q^{3} +(0.707107 - 0.707107i) q^{4} +(-2.19776 + 0.412156i) q^{5} +(-2.41680 + 1.61486i) q^{6} +(2.40863 + 3.60477i) q^{7} +(-0.382683 + 0.923880i) q^{8} +(5.03395 - 2.08513i) q^{9} +O(q^{10})\)	\(q+(-0.923880 + 0.382683i) q^{2} +(2.85081 - 0.567062i) q^{3} +(0.707107 - 0.707107i) q^{4} +(-2.19776 + 0.412156i) q^{5} +(-2.41680 + 1.61486i) q^{6} +(2.40863 + 3.60477i) q^{7} +(-0.382683 + 0.923880i) q^{8} +(5.03395 - 2.08513i) q^{9} +(1.87274 - 1.22183i) q^{10} +(-0.113862 - 0.170406i) q^{11} +(1.61486 - 2.41680i) q^{12} -3.32855i q^{13} +(-3.60477 - 2.40863i) q^{14} +(-6.03167 + 2.42124i) q^{15} -1.00000i q^{16} +(-0.761002 - 4.05227i) q^{17} +(-3.85282 + 3.85282i) q^{18} +(-1.76021 - 0.729105i) q^{19} +(-1.26261 + 1.84549i) q^{20} +(8.91069 + 8.91069i) q^{21} +(0.170406 + 0.113862i) q^{22} +(-0.153052 + 0.769445i) q^{23} +(-0.567062 + 2.85081i) q^{24} +(4.66026 - 1.81163i) q^{25} +(1.27378 + 3.07518i) q^{26} +(5.91804 - 3.95431i) q^{27} +(4.25212 + 0.845799i) q^{28} +(-8.95670 + 1.78160i) q^{29} +(4.64597 - 4.54516i) q^{30} +(-4.85565 + 7.26699i) q^{31} +(0.382683 + 0.923880i) q^{32} +(-0.421230 - 0.421230i) q^{33} +(2.25381 + 3.45258i) q^{34} +(-6.77931 - 6.92967i) q^{35} +(2.08513 - 5.03395i) q^{36} +(-0.374777 - 1.88413i) q^{37} +1.90524 q^{38} +(-1.88750 - 9.48908i) q^{39} +(0.460262 - 2.18819i) q^{40} +(-3.42967 - 0.682203i) q^{41} +(-11.6424 - 4.82243i) q^{42} +(-6.29559 - 2.60772i) q^{43} +(-0.201008 - 0.0399830i) q^{44} +(-10.2040 + 6.65737i) q^{45} +(-0.153052 - 0.769445i) q^{46} +11.8186 q^{47} +(-0.567062 - 2.85081i) q^{48} +(-4.51409 + 10.8980i) q^{49} +(-3.61223 + 3.45713i) q^{50} +(-4.46736 - 11.1207i) q^{51} +(-2.35364 - 2.35364i) q^{52} +(-1.97998 - 4.78009i) q^{53} +(-3.95431 + 5.91804i) q^{54} +(0.320474 + 0.327582i) q^{55} +(-4.25212 + 0.845799i) q^{56} +(-5.43149 - 1.08039i) q^{57} +(7.59313 - 5.07356i) q^{58} +(1.58062 + 3.81596i) q^{59} +(-2.55296 + 5.97712i) q^{60} +(0.209544 - 1.05345i) q^{61} +(1.70508 - 8.57200i) q^{62} +(19.6413 + 13.1239i) q^{63} +(-0.707107 - 0.707107i) q^{64} +(1.37188 + 7.31534i) q^{65} +(0.550364 + 0.227968i) q^{66} +(5.49540 - 5.49540i) q^{67} +(-3.40350 - 2.32728i) q^{68} +2.28034i q^{69} +(8.91514 + 3.80785i) q^{70} +(-1.33556 - 0.892391i) q^{71} +5.44870i q^{72} +(-0.452947 + 0.677883i) q^{73} +(1.06727 + 1.59729i) q^{74} +(12.2582 - 7.80729i) q^{75} +(-1.76021 + 0.729105i) q^{76} +(0.340025 - 0.820892i) q^{77} +(5.37513 + 8.04446i) q^{78} +(10.3045 - 6.88525i) q^{79} +(0.412156 + 2.19776i) q^{80} +(3.07044 - 3.07044i) q^{81} +(3.42967 - 0.682203i) q^{82} +(-0.650559 + 0.269470i) q^{83} +12.6016 q^{84} +(3.34266 + 8.59224i) q^{85} +6.81430 q^{86} +(-24.5236 + 10.1580i) q^{87} +(0.201008 - 0.0399830i) q^{88} +(3.70552 - 3.70552i) q^{89} +(6.87959 - 10.0555i) q^{90} +(11.9987 - 8.01725i) q^{91} +(0.435856 + 0.652304i) q^{92} +(-9.72172 + 23.4703i) q^{93} +(-10.9189 + 4.52277i) q^{94} +(4.16902 + 0.876911i) q^{95} +(1.61486 + 2.41680i) q^{96} +(-0.0834089 + 0.124830i) q^{97} -11.7959i q^{98} +(-0.928493 - 0.620400i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 40 q+O(q^{10}) \) 40 * q	\( 40 q + 8 q^{10} - 8 q^{15} - 16 q^{18} - 16 q^{20} - 8 q^{25} - 8 q^{26} + 24 q^{27} + 8 q^{28} - 8 q^{29} - 16 q^{31} + 32 q^{33} - 8 q^{34} - 32 q^{35} + 16 q^{37} + 32 q^{39} + 8 q^{40} - 56 q^{41} - 8 q^{42} - 48 q^{43} - 16 q^{44} - 24 q^{45} - 96 q^{47} - 16 q^{49} - 32 q^{51} - 16 q^{52} - 40 q^{53} + 24 q^{54} + 8 q^{55} - 8 q^{56} - 8 q^{57} + 16 q^{58} + 24 q^{61} - 24 q^{62} - 24 q^{63} + 16 q^{65} - 16 q^{67} + 24 q^{68} + 8 q^{70} + 24 q^{71} + 16 q^{73} - 32 q^{74} + 184 q^{75} + 40 q^{77} + 16 q^{78} + 104 q^{79} + 8 q^{80} + 48 q^{81} + 56 q^{82} + 16 q^{83} - 8 q^{85} + 96 q^{86} - 8 q^{87} + 16 q^{88} + 16 q^{89} + 40 q^{90} + 48 q^{91} + 8 q^{92} + 136 q^{93} + 8 q^{94} + 8 q^{95} + 144 q^{97} - 160 q^{99}+O(q^{100}) \) 40 * q + 8 * q^10 - 8 * q^15 - 16 * q^18 - 16 * q^20 - 8 * q^25 - 8 * q^26 + 24 * q^27 + 8 * q^28 - 8 * q^29 - 16 * q^31 + 32 * q^33 - 8 * q^34 - 32 * q^35 + 16 * q^37 + 32 * q^39 + 8 * q^40 - 56 * q^41 - 8 * q^42 - 48 * q^43 - 16 * q^44 - 24 * q^45 - 96 * q^47 - 16 * q^49 - 32 * q^51 - 16 * q^52 - 40 * q^53 + 24 * q^54 + 8 * q^55 - 8 * q^56 - 8 * q^57 + 16 * q^58 + 24 * q^61 - 24 * q^62 - 24 * q^63 + 16 * q^65 - 16 * q^67 + 24 * q^68 + 8 * q^70 + 24 * q^71 + 16 * q^73 - 32 * q^74 + 184 * q^75 + 40 * q^77 + 16 * q^78 + 104 * q^79 + 8 * q^80 + 48 * q^81 + 56 * q^82 + 16 * q^83 - 8 * q^85 + 96 * q^86 - 8 * q^87 + 16 * q^88 + 16 * q^89 + 40 * q^90 + 48 * q^91 + 8 * q^92 + 136 * q^93 + 8 * q^94 + 8 * q^95 + 144 * q^97 - 160 * q^99

Introduction

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