LMFDB - Embedded newform 504.2.cy.a.347.16

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [504,2,Mod(347,504)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(504, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 3, 5, 4]))

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

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

chi := DirichletCharacter("504.347");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 504 = 2^{3} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	504.cy (of order $6$, degree $2$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$4.02446026187$
Analytic rank:	$0$
Dimension:	$184$
Relative dimension:	$92$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			347.16
Character	$\chi$	$=$	504.347
Dual form			504.2.cy.a.443.16

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.22414 + 0.708150i) q^{2} +(1.63621 - 0.568159i) q^{3} +(0.997046 - 1.73375i) q^{4} -2.54780 q^{5} +(-1.60062 + 1.85419i) q^{6} +(-0.190034 + 2.63892i) q^{7} +(0.00723210 + 2.82842i) q^{8} +(2.35439 - 1.85926i) q^{9} +O(q^{10})$	\(q+(-1.22414 + 0.708150i) q^{2} +(1.63621 - 0.568159i) q^{3} +(0.997046 - 1.73375i) q^{4} -2.54780 q^{5} +(-1.60062 + 1.85419i) q^{6} +(-0.190034 + 2.63892i) q^{7} +(0.00723210 + 2.82842i) q^{8} +(2.35439 - 1.85926i) q^{9} +(3.11887 - 1.80422i) q^{10} +1.57699i q^{11} +(0.646333 - 3.40327i) q^{12} +(2.79238 + 1.61218i) q^{13} +(-1.63612 - 3.36498i) q^{14} +(-4.16874 + 1.44755i) q^{15} +(-2.01180 - 3.45726i) q^{16} +(-0.746202 - 0.430820i) q^{17} +(-1.56547 + 3.94326i) q^{18} +(3.40644 + 5.90012i) q^{19} +(-2.54027 + 4.41725i) q^{20} +(1.18839 + 4.42580i) q^{21} +(-1.11675 - 1.93046i) q^{22} -2.14017 q^{23} +(1.61882 + 4.62379i) q^{24} +1.49128 q^{25} +(-4.55993 + 0.00388649i) q^{26} +(2.79593 - 4.37981i) q^{27} +(4.38576 + 2.96059i) q^{28} +(4.37686 + 7.58095i) q^{29} +(4.07805 - 4.72411i) q^{30} +(0.780533 - 0.450641i) q^{31} +(4.91099 + 2.80752i) q^{32} +(0.895982 + 2.58030i) q^{33} +(1.21854 - 0.00103858i) q^{34} +(0.484167 - 6.72343i) q^{35} +(-0.876059 - 5.93570i) q^{36} +(6.50750 - 3.75711i) q^{37} +(-8.34814 - 4.81032i) q^{38} +(5.48490 + 1.05136i) q^{39} +(-0.0184259 - 7.20624i) q^{40} +(2.97377 + 1.71690i) q^{41} +(-4.58889 - 4.57625i) q^{42} +(2.73869 + 4.74355i) q^{43} +(2.73411 + 1.57233i) q^{44} +(-5.99851 + 4.73702i) q^{45} +(2.61987 - 1.51556i) q^{46} +(1.15154 - 1.99452i) q^{47} +(-5.25601 - 4.51380i) q^{48} +(-6.92777 - 1.00297i) q^{49} +(-1.82553 + 1.05605i) q^{50} +(-1.46572 - 0.280952i) q^{51} +(5.57925 - 3.23388i) q^{52} +(0.437017 - 0.756935i) q^{53} +(-0.321052 + 7.34145i) q^{54} -4.01786i q^{55} +(-7.46534 - 0.518410i) q^{56} +(8.92587 + 7.71846i) q^{57} +(-10.7264 - 6.18068i) q^{58} +(-6.97171 + 4.02512i) q^{59} +(-1.64673 + 8.67085i) q^{60} +(-7.79210 - 4.49877i) q^{61} +(-0.636362 + 1.10438i) q^{62} +(4.45902 + 6.56637i) q^{63} +(-7.99990 + 0.0409108i) q^{64} +(-7.11442 - 4.10751i) q^{65} +(-2.92405 - 2.52416i) q^{66} +(3.83084 + 6.63520i) q^{67} +(-1.49093 + 0.864183i) q^{68} +(-3.50177 + 1.21595i) q^{69} +(4.16851 + 8.57329i) q^{70} +4.93073 q^{71} +(5.27579 + 6.64576i) q^{72} +(-3.25114 + 5.63113i) q^{73} +(-5.30551 + 9.20752i) q^{74} +(2.44004 - 0.847281i) q^{75} +(13.6257 - 0.0232268i) q^{76} +(-4.16155 - 0.299681i) q^{77} +(-7.45882 + 2.59713i) q^{78} +(-3.85990 - 2.22851i) q^{79} +(5.12566 + 8.80841i) q^{80} +(2.08631 - 8.75484i) q^{81} +(-4.85614 + 0.00413895i) q^{82} +(14.3243 - 8.27014i) q^{83} +(8.85813 + 2.35236i) q^{84} +(1.90117 + 1.09764i) q^{85} +(-6.71169 - 3.86737i) q^{86} +(11.4687 + 9.91730i) q^{87} +(-4.46039 + 0.0114050i) q^{88} +(-10.6158 + 6.12903i) q^{89} +(3.98851 - 10.0466i) q^{90} +(-4.78506 + 7.06249i) q^{91} +(-2.13384 + 3.71052i) q^{92} +(1.02108 - 1.18081i) q^{93} +(0.00277602 + 3.25704i) q^{94} +(-8.67891 - 15.0323i) q^{95} +(9.63055 + 1.80349i) q^{96} +(-8.08265 - 13.9996i) q^{97} +(9.19083 - 3.67813i) q^{98} +(2.93204 + 3.71286i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 184 q - 3 q^{2} - 2 q^{3} + q^{4} - 2 q^{6} - 2 q^{9}+O(q^{10}) $ 184 * q - 3 * q^2 - 2 * q^3 + q^4 - 2 * q^6 - 2 * q^9	$ 184 q - 3 q^{2} - 2 q^{3} + q^{4} - 2 q^{6} - 2 q^{9} - 6 q^{10} - 5 q^{12} - 3 q^{14} + q^{16} + 5 q^{18} - 4 q^{19} - 6 q^{20} + 2 q^{22} - 8 q^{24} + 148 q^{25} + 6 q^{26} - 8 q^{27} + 24 q^{30} - 33 q^{32} + 22 q^{33} - 4 q^{34} - 30 q^{35} - 38 q^{36} - 12 q^{40} - 12 q^{41} + 7 q^{42} - 4 q^{43} - 9 q^{44} - 6 q^{46} - 5 q^{48} - 2 q^{49} - 21 q^{50} + 26 q^{51} - 18 q^{52} - 40 q^{54} + 18 q^{56} + 4 q^{57} + 6 q^{58} - 6 q^{59} - 2 q^{60} - 8 q^{64} - 6 q^{65} + 43 q^{66} + 2 q^{67} - 18 q^{70} - 11 q^{72} - 4 q^{73} - 36 q^{75} + 2 q^{76} - 29 q^{78} - 87 q^{80} - 10 q^{81} - 4 q^{82} - 72 q^{83} - 65 q^{84} + 14 q^{88} + 24 q^{89} - 49 q^{90} - 36 q^{91} - 36 q^{92} + 9 q^{94} - 88 q^{96} - 4 q^{97} - 57 q^{98} + 10 q^{99}+O(q^{100}) $ 184 * q - 3 * q^2 - 2 * q^3 + q^4 - 2 * q^6 - 2 * q^9 - 6 * q^10 - 5 * q^12 - 3 * q^14 + q^16 + 5 * q^18 - 4 * q^19 - 6 * q^20 + 2 * q^22 - 8 * q^24 + 148 * q^25 + 6 * q^26 - 8 * q^27 + 24 * q^30 - 33 * q^32 + 22 * q^33 - 4 * q^34 - 30 * q^35 - 38 * q^36 - 12 * q^40 - 12 * q^41 + 7 * q^42 - 4 * q^43 - 9 * q^44 - 6 * q^46 - 5 * q^48 - 2 * q^49 - 21 * q^50 + 26 * q^51 - 18 * q^52 - 40 * q^54 + 18 * q^56 + 4 * q^57 + 6 * q^58 - 6 * q^59 - 2 * q^60 - 8 * q^64 - 6 * q^65 + 43 * q^66 + 2 * q^67 - 18 * q^70 - 11 * q^72 - 4 * q^73 - 36 * q^75 + 2 * q^76 - 29 * q^78 - 87 * q^80 - 10 * q^81 - 4 * q^82 - 72 * q^83 - 65 * q^84 + 14 * q^88 + 24 * q^89 - 49 * q^90 - 36 * q^91 - 36 * q^92 + 9 * q^94 - 88 * q^96 - 4 * q^97 - 57 * q^98 + 10 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/504\mathbb{Z}\right)^\times$.

$n$	$73$	$127$	$253$	$281$
$\chi(n)$	$e\left(\frac{2}{3}\right)$	$-1$	$-1$	$e\left(\frac{5}{6}\right)$

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 $

$2$	−1.22414	+	0.708150i	−0.865599	+	0.500738i
$2$	−1.22414	+	0.708150i	−0.865599	+	0.500738i
$3$	1.63621	−	0.568159i	0.944668	−	0.328027i
$3$	1.63621	−	0.568159i	0.944668	−	0.328027i
$4$	0.997046	−	1.73375i	0.498523	−	0.866876i
$5$	−2.54780			−1.13941			−0.569705	−	0.821849i	$-0.692943\pi$
$5$	−2.54780			−1.13941			−0.569705	+	0.821849i	$0.692943\pi$
$6$	−1.60062	+	1.85419i	−0.653449	+	0.756971i
$7$	−0.190034	+	2.63892i	−0.0718260	+	0.997417i
$7$	−0.190034	+	2.63892i	−0.0718260	+	0.997417i
$8$	0.00723210	+	2.82842i	0.00255694	+	0.999997i
$9$	2.35439	−	1.85926i	0.784797	−	0.619753i
$10$	3.11887	−	1.80422i	0.986272	−	0.570546i
$11$			1.57699i			0.475481i	0.971329	+	0.237740i	$0.0764068\pi$
$11$			1.57699i			0.475481i	−0.971329	+	0.237740i	$0.923593\pi$
$12$	0.646333	−	3.40327i	0.186580	−	0.982440i
$13$	2.79238	+	1.61218i	0.774466	+	0.447138i	0.834466	−	0.551060i	$-0.185776\pi$
$13$	2.79238	+	1.61218i	0.774466	+	0.447138i	−0.0599992	+	0.998198i	$0.519110\pi$
$14$	−1.63612	−	3.36498i	−0.437272	−	0.899329i
$15$	−4.16874	+	1.44755i	−1.07636	+	0.373757i
$16$	−2.01180	−	3.45726i	−0.502950	−	0.864316i
$17$	−0.746202	−	0.430820i	−0.180981	−	0.104489i	0.406773	−	0.913529i	$-0.366654\pi$
$17$	−0.746202	−	0.430820i	−0.180981	−	0.104489i	−0.587753	+	0.809040i	$0.699987\pi$
$18$	−1.56547	+	3.94326i	−0.368986	+	0.929435i
$19$	3.40644	+	5.90012i	0.781490	+	1.35358i	0.931073	+	0.364832i	$0.118874\pi$
$19$	3.40644	+	5.90012i	0.781490	+	1.35358i	−0.149583	+	0.988749i	$0.547793\pi$
$20$	−2.54027	+	4.41725i	−0.568022	+	0.987728i
$21$	1.18839	+	4.42580i	0.259328	+	0.965789i
$22$	−1.11675	−	1.93046i	−0.238091	−	0.411576i
$23$	−2.14017			−0.446255			−0.223128	−	0.974789i	$-0.571627\pi$
$23$	−2.14017			−0.446255			−0.223128	+	0.974789i	$0.571627\pi$
$24$	1.61882	+	4.62379i	0.330441	+	0.943827i
$25$	1.49128			0.298255
$26$	−4.55993	+	0.00388649i	−0.894276	+	0.000762203i
$27$	2.79593	−	4.37981i	0.538077	−	0.842895i
$28$	4.38576	+	2.96059i	0.828831	+	0.559500i
$29$	4.37686	+	7.58095i	0.812763	+	1.40775i	0.910923	+	0.412576i	$0.135371\pi$
$29$	4.37686	+	7.58095i	0.812763	+	1.40775i	−0.0981599	+	0.995171i	$0.531296\pi$
$30$	4.07805	−	4.72411i	0.744546	−	0.862500i
$31$	0.780533	−	0.450641i	0.140188	−	0.0809375i	−0.428266	−	0.903653i	$-0.640875\pi$
$31$	0.780533	−	0.450641i	0.140188	−	0.0809375i	0.568454	+	0.822715i	$0.307542\pi$
$32$	4.91099	+	2.80752i	0.868148	+	0.496305i
$33$	0.895982	+	2.58030i	0.155970	+	0.449172i
$34$	1.21854	−	0.00103858i	0.208978	−	0.000178115i
$35$	0.484167	−	6.72343i	0.0818392	−	1.13647i
$36$	−0.876059	−	5.93570i	−0.146010	−	0.989283i
$37$	6.50750	−	3.75711i	1.06983	−	0.617665i	0.141692	−	0.989911i	$-0.454746\pi$
$37$	6.50750	−	3.75711i	1.06983	−	0.617665i	0.928134	+	0.372246i	$0.121412\pi$
$38$	−8.34814	−	4.81032i	−1.35425	−	0.780336i
$39$	5.48490	+	1.05136i	0.878287	+	0.168352i
$40$	−0.0184259	−	7.20624i	−0.00291340	−	1.13941i
$41$	2.97377	+	1.71690i	0.464424	+	0.268135i	0.713903	−	0.700245i	$-0.246926\pi$
$41$	2.97377	+	1.71690i	0.464424	+	0.268135i	−0.249478	+	0.968380i	$0.580259\pi$
$42$	−4.58889	−	4.57625i	−0.708081	−	0.706131i
$43$	2.73869	+	4.74355i	0.417646	+	0.723384i	0.995702	−	0.0926128i	$-0.0295219\pi$
$43$	2.73869	+	4.74355i	0.417646	+	0.723384i	−0.578056	+	0.815997i	$0.696189\pi$
$44$	2.73411	+	1.57233i	0.412183	+	0.237038i
$45$	−5.99851	+	4.73702i	−0.894205	+	0.706153i
$46$	2.61987	−	1.51556i	0.386278	−	0.223457i
$47$	1.15154	−	1.99452i	0.167969	−	0.290931i	−0.769737	−	0.638362i	$-0.779612\pi$
$47$	1.15154	−	1.99452i	0.167969	−	0.290931i	0.937706	+	0.347431i	$0.112946\pi$
$48$	−5.25601	−	4.51380i	−0.758639	−	0.651511i
$49$	−6.92777	−	1.00297i	−0.989682	−	0.143281i
$50$	−1.82553	+	1.05605i	−0.258169	+	0.149348i
$51$	−1.46572	−	0.280952i	−0.205242	−	0.0393412i
$52$	5.57925	−	3.23388i	0.773703	−	0.448458i
$53$	0.437017	−	0.756935i	0.0600289	−	0.103973i	−0.834449	−	0.551085i	$-0.814214\pi$
$53$	0.437017	−	0.756935i	0.0600289	−	0.103973i	0.894478	+	0.447112i	$0.147547\pi$
$54$	−0.321052	+	7.34145i	−0.0436896	+	0.999045i
$55$		−	4.01786i		−	0.541768i
$56$	−7.46534	−	0.518410i	−0.997598	−	0.0692754i
$57$	8.92587	+	7.71846i	1.18226	+	1.02234i
$58$	−10.7264	−	6.18068i	−1.40844	−	0.811563i
$59$	−6.97171	+	4.02512i	−0.907639	+	0.524026i	−0.879671	−	0.475583i	$-0.842237\pi$
$59$	−6.97171	+	4.02512i	−0.907639	+	0.524026i	−0.0279686	+	0.999609i	$0.508904\pi$
$60$	−1.64673	+	8.67085i	−0.212592	+	1.11940i
$61$	−7.79210	−	4.49877i	−0.997677	−	0.576009i	−0.0901167	−	0.995931i	$-0.528724\pi$
$61$	−7.79210	−	4.49877i	−0.997677	−	0.576009i	−0.907560	+	0.419922i	$0.862057\pi$
$62$	−0.636362	+	1.10438i	−0.0808180	+	0.140257i
$63$	4.45902	+	6.56637i	0.561783	+	0.827284i
$64$	−7.99990	+	0.0409108i	−0.999987	+	0.00511385i
$65$	−7.11442	−	4.10751i	−0.882435	−	0.509474i
$66$	−2.92405	−	2.52416i	−0.359925	−	0.310702i
$67$	3.83084	+	6.63520i	0.468011	+	0.810619i	0.999332	−	0.0365517i	$-0.0116373\pi$
$67$	3.83084	+	6.63520i	0.468011	+	0.810619i	−0.531321	+	0.847171i	$0.678304\pi$
$68$	−1.49093	+	0.864183i	−0.180802	+	0.104798i
$69$	−3.50177	+	1.21595i	−0.421563	+	0.146384i
$70$	4.16851	+	8.57329i	0.498232	+	1.02470i
$71$	4.93073			0.585169			0.292585	−	0.956240i	$-0.405485\pi$
$71$	4.93073			0.585169			0.292585	+	0.956240i	$0.405485\pi$
$72$	5.27579	+	6.64576i	0.621758	+	0.783210i
$73$	−3.25114	+	5.63113i	−0.380517	+	0.659074i	−0.991136	−	0.132850i	$-0.957587\pi$
$73$	−3.25114	+	5.63113i	−0.380517	+	0.659074i	0.610619	+	0.791924i	$0.290921\pi$
$74$	−5.30551	+	9.20752i	−0.616753	+	1.07035i
$75$	2.44004	−	0.847281i	0.281752	−	0.0978356i
$76$	13.6257	−	0.0232268i	1.56298	−	0.00266430i
$77$	−4.16155	−	0.299681i	−0.474253	−	0.0341519i
$78$	−7.45882	+	2.59713i	−0.844545	+	0.294067i
$79$	−3.85990	−	2.22851i	−0.434273	−	0.250727i	0.266893	−	0.963726i	$-0.414003\pi$
$79$	−3.85990	−	2.22851i	−0.434273	−	0.250727i	−0.701165	+	0.712999i	$0.747336\pi$
$80$	5.12566	+	8.80841i	0.573066	+	0.984810i
$81$	2.08631	−	8.75484i	0.231813	−	0.972760i
$82$	−4.85614	+	0.00413895i	−0.536271	+	0.000457070i
$83$	14.3243	−	8.27014i	1.57230	−	0.907766i	0.576409	−	0.817161i	$-0.304453\pi$
$83$	14.3243	−	8.27014i	1.57230	−	0.907766i	0.995887	−	0.0906045i	$-0.0288799\pi$
$84$	8.85813	+	2.35236i	0.966501	+	0.256663i
$85$	1.90117	+	1.09764i	0.206211	+	0.119056i
$86$	−6.71169	−	3.86737i	−0.723740	−	0.417029i
$87$	11.4687	+	9.91730i	1.22957	+	1.06325i
$88$	−4.46039	+	0.0114050i	−0.475479	+	0.00121577i
$89$	−10.6158	+	6.12903i	−1.12527	+	0.649675i	−0.942741	−	0.333525i	$-0.891762\pi$
$89$	−10.6158	+	6.12903i	−1.12527	+	0.649675i	−0.182530	+	0.983200i	$0.558429\pi$
$90$	3.98851	−	10.0466i	0.420426	−	1.05901i
$91$	−4.78506	+	7.06249i	−0.501610	+	0.740350i
$92$	−2.13384	+	3.71052i	−0.222469	+	0.386848i
$93$	1.02108	−	1.18081i	0.105881	−	0.122444i
$94$	0.00277602	+	3.25704i	0.000286324	+	0.335938i
$95$	−8.67891	−	15.0323i	−0.890438	−	1.54228i
$96$	9.63055	+	1.80349i	0.982914	+	0.184068i
$97$	−8.08265	−	13.9996i	−0.820668	−	1.42144i	−0.905185	−	0.425017i	$-0.860268\pi$
$97$	−8.08265	−	13.9996i	−0.820668	−	1.42144i	0.0845170	−	0.996422i	$-0.473065\pi$
$98$	9.19083	−	3.67813i	0.928414	−	0.371548i
$99$	2.93204	+	3.71286i	0.294681	+	0.373156i
$100$	1.48687	−	2.58550i	0.148687	−	0.258550i
$101$	−16.7916			−1.67082			−0.835411	−	0.549626i	$-0.814770\pi$
$101$	−16.7916			−1.67082			−0.835411	+	0.549626i	$0.814770\pi$
$102$	1.99321	−	0.694025i	0.197357	−	0.0687187i
$103$		−	5.09134i		−	0.501665i	−0.968031	−	0.250832i	$-0.919296\pi$
$103$		−	5.09134i		−	0.501665i	0.968031	−	0.250832i	$-0.0807043\pi$
$104$	−4.53972	+	7.90967i	−0.445157	+	0.775607i
$105$	−3.02778	−	11.2761i	−0.295481	−	1.10043i
$106$	0.00105352	+	1.23607i	0.000102327	+	0.120058i
$107$	9.80822	−	5.66278i	0.948197	−	0.547442i	0.0556764	−	0.998449i	$-0.482268\pi$
$107$	9.80822	−	5.66278i	0.948197	−	0.547442i	0.892520	+	0.451007i	$0.148935\pi$
$108$	−4.80584	−	9.21433i	−0.462442	−	0.886649i
$109$	−14.2654	−	8.23611i	−1.36637	−	0.788876i	−0.375911	−	0.926656i	$-0.622670\pi$
$109$	−14.2654	−	8.23611i	−1.36637	−	0.788876i	−0.990463	+	0.137779i	$0.956004\pi$
$110$	2.84525	+	4.91843i	0.271284	+	0.468954i
$111$	8.51303	−	9.84472i	0.808021	−	0.934420i
$112$	9.50574	−	4.65197i	0.898208	−	0.439570i
$113$	−5.83171	−	3.36694i	−0.548601	−	0.316735i	0.199956	−	0.979805i	$-0.435920\pi$
$113$	−5.83171	−	3.36694i	−0.548601	−	0.316735i	−0.748558	+	0.663070i	$0.769253\pi$
$114$	−16.3924	−	3.12764i	−1.53529	−	0.292930i
$115$	5.45271			0.508468
$116$	17.5074	−	0.0298436i	1.62552	−	0.00277091i
$117$	9.57181	−	1.39605i	0.884914	−	0.129065i
$118$	5.68397	−	9.86434i	0.523252	−	0.908086i
$119$	1.27870	−	1.88730i	0.117218	−	0.173008i
$120$	−4.12444	−	11.7805i	−0.376508	−	1.07541i
$121$	8.51310			0.773918
$122$	12.7244	−	0.0108452i	1.15202	−	0.000981879i
$123$	5.84119	+	1.11965i	0.526683	+	0.100956i
$124$	−0.00307269	−	1.80256i	−0.000275936	−	0.161875i
$125$	8.93952			0.799575
$126$	−10.1084	−	4.88051i	−0.900532	−	0.434790i
$127$		−	12.9900i		−	1.15267i	−0.817212	−	0.576337i	$-0.804482\pi$
$127$		−	12.9900i		−	1.15267i	0.817212	−	0.576337i	$-0.195518\pi$
$128$	9.76403	−	5.71521i	0.863027	−	0.505158i
$129$	7.17617	+	6.20545i	0.631826	+	0.546359i
$130$	11.6178	−	0.00990199i	1.01895	−	0.000868462i
$131$			5.69501i			0.497575i	0.968558	+	0.248788i	$0.0800321\pi$
$131$			5.69501i			0.497575i	−0.968558	+	0.248788i	$0.919968\pi$
$132$	5.36693	+	1.01926i	0.467131	+	0.0887154i
$133$	−16.2173	+	7.86809i	−1.40622	+	0.682250i
$134$	−9.38821	−	5.40962i	−0.811018	−	0.467320i
$135$	−7.12347	+	11.1589i	−0.613091	+	0.960403i
$136$	1.21314	−	2.11369i	0.104026	−	0.181247i
$137$		−	19.0235i		−	1.62529i	−0.582760	−	0.812644i	$-0.698027\pi$
$137$		−	19.0235i		−	1.62529i	0.582760	−	0.812644i	$-0.301973\pi$
$138$	3.42558	−	3.96828i	0.291605	−	0.337802i
$139$	−6.26913	+	10.8585i	−0.531741	+	0.921003i	0.467572	+	0.883955i	$0.345129\pi$
$139$	−6.26913	+	10.8585i	−0.531741	+	0.921003i	−0.999313	+	0.0370478i	$0.988205\pi$
$140$	−11.1740	−	7.54300i	−0.944378	−	0.637499i
$141$	0.750956	−	3.91772i	0.0632419	−	0.329931i
$142$	−6.03591	+	3.49170i	−0.506522	+	0.293017i
$143$	−2.54240	+	4.40356i	−0.212606	+	0.368244i
$144$	−11.1645	−	4.39930i	−0.930376	−	0.366608i
$145$	−11.1514	−	19.3147i	−0.926070	−	1.60400i
$146$	−0.00783753	−	9.19560i	−0.000648638	−	0.761033i
$147$	−11.9052	+	2.29501i	−0.981921	+	0.189289i
$148$	−0.0256178	−	15.0284i	−0.00210577	−	1.23533i
$149$	15.2865			1.25232			0.626160	−	0.779694i	$-0.284625\pi$
$149$	15.2865			1.25232			0.626160	+	0.779694i	$0.284625\pi$
$150$	−2.38696	+	2.76511i	−0.194894	+	0.225770i
$151$		−	6.11423i		−	0.497569i	−0.968559	−	0.248784i	$-0.919969\pi$
$151$		−	6.11423i		−	0.497569i	0.968559	−	0.248784i	$-0.0800311\pi$
$152$	−16.6634	+	9.67750i	−1.35158	+	0.784949i
$153$	−2.55786	+	0.373064i	−0.206791	+	0.0301604i
$154$	5.30655	−	2.58015i	0.427614	−	0.207915i
$155$	−1.98864	+	1.14814i	−0.159731	+	0.0922210i
$156$	7.29149	−	8.46121i	0.583787	−	0.677439i
$157$	−0.237055	+	0.136864i	−0.0189190	+	0.0109229i	−0.509430	−	0.860512i	$-0.670144\pi$
$157$	−0.237055	+	0.136864i	−0.0189190	+	0.0109229i	0.490511	+	0.871435i	$0.336810\pi$
$158$	6.30319	−	0.00537229i	0.501455	−	0.000427396i
$159$	0.284993	−	1.48680i	0.0226015	−	0.117911i
$160$	−12.5122	−	7.15300i	−0.989177	−	0.565495i
$161$	0.406703	−	5.64772i	0.0320527	−	0.445103i
$162$	3.64580	+	12.1946i	0.286441	+	0.958098i
$163$	0.0610389	+	0.105722i	0.00478094	+	0.00828082i	0.868406	−	0.495854i	$-0.165145\pi$
$163$	0.0610389	+	0.105722i	0.00478094	+	0.00828082i	−0.863625	+	0.504135i	$0.831812\pi$
$164$	5.94167	−	3.44394i	0.463967	−	0.268927i
$165$	−2.28278	−	6.57407i	−0.177714	−	0.511791i
$166$	−11.6785	+	20.2676i	−0.906425	+	1.57307i
$167$	−5.38456	+	9.32634i	−0.416670	+	0.721694i	−0.995602	−	0.0936819i	$-0.970136\pi$
$167$	−5.38456	+	9.32634i	−0.416670	+	0.721694i	0.578932	+	0.815376i	$0.303470\pi$
$168$	−12.5094	+	3.39327i	−0.965123	+	0.261796i
$169$	−1.30175	−	2.25470i	−0.100135	−	0.173438i
$170$	−3.10460	+	0.00264609i	−0.238112	+	0.000202946i
$171$	18.9899	+	7.55775i	1.45220	+	0.577955i
$172$	10.9547	−	0.0186737i	0.835291	−	0.00142386i
$173$	−4.00969	+	6.94499i	−0.304851	+	0.528018i	−0.977228	−	0.212191i	$-0.931940\pi$
$173$	−4.00969	+	6.94499i	−0.304851	+	0.528018i	0.672377	+	0.740209i	$0.265273\pi$
$174$	−21.0622	−	4.01864i	−1.59672	−	0.304652i
$175$	−0.283392	+	3.93535i	−0.0214225	+	0.297485i
$176$	5.45208	−	3.17259i	0.410966	−	0.239143i
$177$	−9.12030	+	10.5470i	−0.685524	+	0.792761i
$178$	8.65495	−	15.0204i	0.648716	−	1.12582i
$179$	11.4951	+	6.63670i	0.859185	+	0.496050i	0.863739	−	0.503939i	$-0.168116\pi$
$179$	11.4951	+	6.63670i	0.859185	+	0.496050i	−0.00455457	+	0.999990i	$0.501450\pi$
$180$	2.23202	+	15.1230i	0.166365	+	1.12720i
$181$		−	5.72476i		−	0.425518i	−0.977105	−	0.212759i	$-0.931755\pi$
$181$		−	5.72476i		−	0.425518i	0.977105	−	0.212759i	$-0.0682449\pi$
$182$	0.856284	−	12.0340i	0.0634720	−	0.892021i
$183$	−15.3056	−	2.93380i	−1.13142	−	0.216873i
$184$	−0.0154779	−	6.05328i	−0.00114105	−	0.446254i
$185$	−16.5798	+	9.57235i	−1.21897	+	0.703773i
$186$	−0.413758	+	2.16856i	−0.0303382	+	0.159007i
$187$	0.679400	−	1.17675i	0.0496826	−	0.0860528i
$188$	−2.30987	−	3.98511i	−0.168465	−	0.290644i
$189$	11.0266	+	8.21055i	0.802070	+	0.597229i
$190$	21.2694	+	12.2557i	1.54304	+	0.889123i
$191$	12.0517	−	20.8742i	0.872032	−	1.51040i	0.0121409	−	0.999926i	$-0.496135\pi$
$191$	12.0517	−	20.8742i	0.872032	−	1.51040i	0.859891	−	0.510477i	$-0.170531\pi$
$192$	−13.0663	+	4.61215i	−0.942979	+	0.332853i
$193$	12.6804	+	21.9631i	0.912753	+	1.58094i	0.810158	+	0.586212i	$0.199381\pi$
$193$	12.6804	+	21.9631i	0.912753	+	1.58094i	0.102596	+	0.994723i	$0.467285\pi$
$194$	19.8081	+	11.4137i	1.42214	+	0.819456i
$195$	−13.9744	−	2.67865i	−1.00073	−	0.191822i
$196$	−8.64621	+	11.0110i	−0.617586	+	0.786503i
$197$	10.0691			0.717392			0.358696	−	0.933454i	$-0.383221\pi$
$197$	10.0691			0.717392			0.358696	+	0.933454i	$0.383221\pi$
$198$	−6.21849	−	2.46874i	−0.441929	−	0.175446i
$199$	18.1773	+	10.4947i	1.28856	+	0.743948i	0.978397	−	0.206737i	$-0.0662843\pi$
$199$	18.1773	+	10.4947i	1.28856	+	0.743948i	0.310159	+	0.950685i	$0.399618\pi$
$200$	0.0107851	+	4.21795i	0.000762619	+	0.298254i
$201$	10.0379	+	8.68009i	0.708020	+	0.612246i
$202$	20.5552	−	11.8909i	1.44626	−	0.836644i
$203$	−20.8373	+	10.1095i	−1.46249	+	0.709551i
$204$	−1.94849	+	2.26107i	−0.136422	+	0.158307i
$205$	−7.57656	−	4.37433i	−0.529170	−	0.305516i
$206$	3.60544	+	6.23253i	0.251203	+	0.434241i
$207$	−5.03879	+	3.97912i	−0.350220	+	0.276568i
$208$	−0.0439705	−	12.8974i	−0.00304881	−	0.894272i
$209$	−9.30444	+	5.37192i	−0.643602	+	0.371584i
$210$	11.6916	+	11.6594i	0.806795	+	0.804573i
$211$	−2.09387	+	3.62668i	−0.144148	+	0.249671i	−0.929055	−	0.369943i	$-0.879377\pi$
$211$	−2.09387	+	3.62668i	−0.144148	+	0.249671i	0.784907	+	0.619614i	$0.212711\pi$
$212$	−0.876613	−	1.51238i	−0.0602060	−	0.103871i
$213$	8.06772	−	2.80144i	0.552791	−	0.191951i
$214$	−7.99656	+	13.8777i	−0.546633	+	0.948663i
$215$	−6.97763	−	12.0856i	−0.475870	−	0.824231i
$216$	12.4082	+	7.87639i	0.844268	+	0.535920i
$217$	1.04088	+	2.14540i	0.0706593	+	0.145639i
$218$	23.2952	−	0.0198548i	1.57775	−	0.00134474i
$219$	−2.12018	+	11.0609i	−0.143268	+	0.747426i
$220$	−6.96597	−	4.00599i	−0.469646	−	0.270084i
$221$	−1.38912	−	2.40602i	−0.0934423	−	0.161847i
$222$	−3.44961	+	18.0798i	−0.231522	+	1.21344i
$223$	9.93142	−	5.73391i	0.665057	−	0.383971i	−0.129144	−	0.991626i	$-0.541223\pi$
$223$	9.93142	−	5.73391i	0.665057	−	0.383971i	0.794201	+	0.607655i	$0.207890\pi$
$224$	−8.34208	+	12.4262i	−0.557379	+	0.830258i
$225$	3.51104	−	2.77267i	0.234070	−	0.184844i
$226$	9.52314	−	0.00811670i	0.633470	−	0.000539915i
$227$		−	26.0238i		−	1.72726i	−0.504123	−	0.863632i	$-0.668184\pi$
$227$		−	26.0238i		−	1.72726i	0.504123	−	0.863632i	$-0.331816\pi$
$228$	22.2814	−	7.77958i	1.47562	−	0.515215i
$229$			18.4315i			1.21798i	0.793176	+	0.608992i	$0.208426\pi$
$229$			18.4315i			1.21798i	−0.793176	+	0.608992i	$0.791574\pi$
$230$	−6.67489	+	3.86134i	−0.440129	+	0.254609i
$231$	−6.97945	+	1.87408i	−0.459214	+	0.123305i
$232$	−21.4104	+	12.4344i	−1.40566	+	0.816360i
$233$	−0.405359	+	0.234034i	−0.0265559	+	0.0153321i	−0.513219	−	0.858258i	$-0.671547\pi$
$233$	−0.405359	+	0.234034i	−0.0265559	+	0.0153321i	0.486663	+	0.873590i	$0.338214\pi$
$234$	−10.7286	+	8.48725i	−0.701353	+	0.554829i
$235$	−2.93388	+	5.08164i	−0.191386	+	0.331489i
$236$	0.0274453	+	16.1005i	0.00178653	+	1.04805i
$237$	−7.58177	−	1.45329i	−0.492489	−	0.0944013i
$238$	−0.228823	+	3.21583i	−0.0148324	+	0.208451i
$239$	1.53573	−	2.65997i	0.0993383	−	0.172059i	−0.812073	−	0.583556i	$-0.801661\pi$
$239$	1.53573	−	2.65997i	0.0993383	−	0.172059i	0.911411	+	0.411497i	$0.134994\pi$
$240$	13.3912	+	11.5003i	0.864401	+	0.742338i
$241$	−18.2773			−1.17735			−0.588673	−	0.808372i	$-0.700349\pi$
$241$	−18.2773			−1.17735			−0.588673	+	0.808372i	$0.700349\pi$
$242$	−10.4212	+	6.02855i	−0.669903	+	0.387530i
$243$	−1.56049	−	15.5102i	−0.100105	−	0.994977i
$244$	−15.5688	+	9.02410i	−0.996693	+	0.577709i
$245$	17.6506	+	2.55536i	1.12765	+	0.163256i
$246$	−7.94333	+	2.76583i	−0.506448	+	0.176343i
$247$			21.9672i			1.39774i
$248$	1.28025	+	2.20441i	0.0812957	+	0.139980i
$249$	18.7389	−	21.6702i	1.18753	−	1.37329i
$250$	−10.9432	+	6.33053i	−0.692111	+	0.400378i
$251$		−	27.4831i		−	1.73472i	−0.497684	−	0.867358i	$-0.665816\pi$
$251$		−	27.4831i		−	1.73472i	0.497684	−	0.867358i	$-0.334184\pi$
$252$	15.8303	−	1.18387i	0.997215	−	0.0745765i
$253$		−	3.37502i		−	0.212186i
$254$	9.19885	+	15.9016i	0.577187	+	0.997753i
$255$	3.73436	+	0.715810i	0.233855	+	0.0448257i
$256$	−7.90533	+	13.9106i	−0.494083	+	0.869414i
$257$		−	6.35837i		−	0.396624i	−0.980139	−	0.198312i	$-0.936454\pi$
$257$		−	6.35837i		−	0.396624i	0.980139	−	0.198312i	$-0.0635459\pi$
$258$	−13.1790	−	2.51454i	−0.820491	−	0.156548i
$259$	8.67805	+	17.8867i	0.539228	+	1.11143i
$260$	−14.2148	+	8.23926i	−0.881565	+	0.510977i
$261$	24.3998	+	9.71080i	1.51031	+	0.601083i
$262$	−4.03292	−	6.97150i	−0.249155	−	0.430700i
$263$	8.98691			0.554157			0.277078	−	0.960847i	$-0.410634\pi$
$263$	8.98691			0.554157			0.277078	+	0.960847i	$0.410634\pi$
$264$	−7.29167	+	2.55287i	−0.448772	+	0.157118i
$265$	−1.11343	+	1.92852i	−0.0683975	+	0.118468i
$266$	14.2805	−	21.1159i	0.875591	−	1.29470i
$267$	−13.8874	+	16.0598i	−0.849897	+	0.982847i
$268$	15.3233	−	0.0261206i	0.936021	−	0.00159557i
$269$	1.45526	−	2.52059i	0.0887288	−	0.153683i	−0.818245	−	0.574869i	$-0.805053\pi$
$269$	1.45526	−	2.52059i	0.0887288	−	0.153683i	0.906974	+	0.421186i	$0.138386\pi$
$270$	0.817974	−	18.7045i	0.0497803	−	1.13832i
$271$	1.49770	−	0.864695i	0.0909786	−	0.0525265i	−0.453820	−	0.891093i	$-0.649939\pi$
$271$	1.49770	−	0.864695i	0.0909786	−	0.0525265i	0.544799	+	0.838567i	$0.316606\pi$
$272$	0.0117502	+	3.44654i	0.000712458	+	0.208977i
$273$	−3.81676	+	14.2744i	−0.231001	+	0.863927i
$274$	13.4715	+	23.2875i	0.813843	+	1.40685i
$275$			2.35173i			0.141815i
$276$	−1.38326	+	7.28356i	−0.0832625	+	0.438419i
$277$			31.6567i			1.90207i	0.309091	+	0.951033i	$0.399975\pi$
$277$			31.6567i			1.90207i	−0.309091	+	0.951033i	$0.600025\pi$
$278$	−0.0151130	−	17.7318i	−0.000906419	−	1.06348i
$279$	0.999822	−	2.51220i	0.0598578	−	0.150401i
$280$	19.0202	+	1.32080i	1.13667	+	0.0789331i
$281$	−18.0353	+	10.4127i	−1.07590	+	0.621169i	−0.929786	−	0.368100i	$-0.880009\pi$
$281$	−18.0353	+	10.4127i	−1.07590	+	0.621169i	−0.146109	+	0.989268i	$0.546675\pi$
$282$	1.85506	+	5.32763i	0.110467	+	0.317256i
$283$	−13.7675	−	23.8461i	−0.818396	−	1.41750i	−0.906864	−	0.421424i	$-0.861530\pi$
$283$	−13.7675	−	23.8461i	−0.818396	−	1.41750i	0.0884681	−	0.996079i	$-0.471803\pi$
$284$	4.91616	−	8.54866i	0.291720	−	0.507270i
$285$	−22.7413	−	19.6651i	−1.34708	−	1.16486i
$286$	−0.00612896	−	7.19098i	−0.000362413	−	0.425211i
$287$	−5.09589	+	7.52126i	−0.300801	+	0.443966i
$288$	16.7823	−	2.52079i	0.988907	−	0.148539i
$289$	−8.12879	−	14.0795i	−0.478164	−	0.828204i
$290$	27.3286	+	15.7471i	1.60479	+	0.924703i
$291$	−21.1789	−	18.3140i	−1.24153	−	1.07359i
$292$	6.52146	+	11.2512i	0.381640	+	0.658425i
$293$	−4.51508	+	7.82034i	−0.263774	+	0.456869i	−0.967242	−	0.253858i	$-0.918301\pi$
$293$	−4.51508	+	7.82034i	−0.263774	+	0.456869i	0.703468	+	0.710727i	$0.251634\pi$
$294$	12.9484	−	11.2401i	0.755166	−	0.655534i
$295$	17.7625	−	10.2552i	1.03417	−	0.597080i
$296$	10.6737	+	18.3788i	0.620398	+	1.06824i
$297$	6.90693	+	4.40916i	0.400781	+	0.255846i
$298$	−18.7129	+	10.8252i	−1.08401	+	0.627085i
$299$	−5.97615	−	3.45033i	−0.345610	−	0.199538i
$300$	0.963861	−	5.07521i	0.0556485	−	0.293018i
$301$	−13.0383	+	6.32574i	−0.751514	+	0.364610i
$302$	4.32979	+	7.48468i	0.249152	+	0.430695i
$303$	−27.4746	+	9.54027i	−1.57837	+	0.548074i
$304$	13.5452	−	23.6468i	0.776871	−	1.35624i
$305$	19.8527	+	11.4620i	1.13676	+	0.656310i
$306$	2.86699	−	2.26803i	0.163895	−	0.129655i
$307$	−25.1574			−1.43581			−0.717903	−	0.696143i	$-0.754898\pi$
$307$	−25.1574			−1.43581			−0.717903	+	0.696143i	$0.754898\pi$
$308$	−4.66883	+	6.91631i	−0.266031	+	0.394093i
$309$	−2.89269	−	8.33053i	−0.164559	−	0.473907i
$310$	1.62132	−	2.81375i	0.0920848	−	0.159810i
$311$	13.6616	+	23.6627i	0.774681	+	1.34179i	0.934974	+	0.354717i	$0.115423\pi$
$311$	13.6616	+	23.6627i	0.774681	+	1.34179i	−0.160293	+	0.987069i	$0.551244\pi$
$312$	−2.93401	+	15.5212i	−0.166106	+	0.878715i
$313$	6.13412	−	10.6246i	0.346721	−	0.600539i	−0.638944	−	0.769253i	$-0.720628\pi$
$313$	6.13412	−	10.6246i	0.346721	−	0.600539i	0.985665	+	0.168715i	$0.0539617\pi$
$314$	0.193269	−	0.335411i	0.0109068	−	0.0189283i
$315$	−11.3607	−	16.7298i	−0.640102	−	0.942616i
$316$	−7.71219	+	4.47018i	−0.433845	+	0.251467i
$317$	10.7470	−	18.6143i	0.603611	−	1.04548i	−0.388658	−	0.921382i	$-0.627061\pi$
$317$	10.7470	−	18.6143i	0.603611	−	1.04548i	0.992269	−	0.124103i	$-0.0396053\pi$
$318$	0.704008	+	2.02188i	0.0394788	+	0.113381i
$319$	−11.9551	+	6.90228i	−0.669357	+	0.386453i
$320$	20.3821	−	0.104233i	1.13940	−	0.00582678i
$321$	12.8310	−	14.8381i	0.716156	−	0.828185i
$322$	3.50157	+	7.20162i	0.195135	+	0.401330i
$323$		−	5.87025i		−	0.326629i
$324$	−13.0986	−	12.3461i	−0.727699	−	0.685896i
$325$	4.16420	+	2.40420i	0.230988	+	0.133361i
$326$	−0.149588	−	0.0861946i	−0.00828490	−	0.00477388i
$327$	−28.0206	−	5.37105i	−1.54954	−	0.297020i
$328$	−4.83462	+	8.42347i	−0.266947	+	0.465108i
$329$	5.04455	+	3.41784i	0.278115	+	0.188432i
$330$	7.44988	+	6.43104i	0.410102	+	0.354017i
$331$	−11.0293	+	19.1033i	−0.606226	+	1.05001i	0.385631	+	0.922653i	$0.373984\pi$
$331$	−11.0293	+	19.1033i	−0.606226	+	1.05001i	−0.991856	+	0.127361i	$0.959349\pi$
$332$	−0.0563899	−	33.0805i	−0.00309480	−	1.81553i
$333$	8.33577	−	20.9448i	0.456797	−	1.14777i
$334$	−0.0129806	−	15.2298i	−0.000710266	−	0.833340i
$335$	−9.76020	−	16.9052i	−0.533257	−	0.923628i
$336$	12.9104	−	13.0124i	0.704318	−	0.709884i
$337$	2.81641	−	4.87817i	0.153420	−	0.265731i	−0.779063	−	0.626946i	$-0.784305\pi$
$337$	2.81641	−	4.87817i	0.153420	−	0.265731i	0.932482	+	0.361215i	$0.117638\pi$
$338$	3.19019	+	1.83823i	0.173523	+	0.0999867i
$339$	−11.4549	−	2.19570i	−0.622144	−	0.119254i
$340$	3.79860	−	2.20176i	0.206008	−	0.119407i
$341$	0.710657	+	1.23089i	0.0384842	+	0.0666567i
$342$	−28.5984	+	4.19598i	−1.54642	+	0.226893i
$343$	3.96326	−	18.0912i	0.213996	−	0.976835i
$344$	−13.3969	+	7.78046i	−0.722314	+	0.419494i
$345$	8.92180	−	3.09801i	0.480333	−	0.166791i
$346$	−0.00966618	−	11.3411i	−0.000519657	−	0.609702i
$347$	19.3582	−	11.1764i	1.03920	−	0.599983i	0.119594	−	0.992823i	$-0.461841\pi$
$347$	19.3582	−	11.1764i	1.03920	−	0.599983i	0.919607	+	0.392840i	$0.128507\pi$
$348$	28.6289	−	9.99583i	1.53467	−	0.535833i
$349$	−16.0952	+	9.29259i	−0.861558	+	0.497421i	−0.864534	−	0.502575i	$-0.832386\pi$
$349$	−16.0952	+	9.29259i	−0.861558	+	0.497421i	0.00297571	+	0.999996i	$0.499053\pi$
$350$	−2.43991	−	5.01811i	−0.130419	−	0.268229i
$351$	14.8683	−	7.72255i	0.793614	−	0.412199i
$352$	−4.42744	+	7.74459i	−0.235983	+	0.412788i
$353$			5.78653i			0.307986i	0.988072	+	0.153993i	$0.0492133\pi$
$353$			5.78653i			0.307986i	−0.988072	+	0.153993i	$0.950787\pi$
$354$	3.69568	−	19.3696i	0.196423	−	1.02948i
$355$	−12.5625			−0.666748
$356$	0.0417908	+	24.5161i	0.00221491	+	1.29935i
$357$	1.01995	−	3.81453i	0.0539813	−	0.201886i
$358$	−18.7714	+	0.0159991i	−0.992101	+	0.000845580i
$359$	8.47319	+	14.6760i	0.447198	+	0.774570i	0.998202	−	0.0599326i	$-0.0190886\pi$
$359$	8.47319	+	14.6760i	0.447198	+	0.774570i	−0.551004	+	0.834502i	$0.685755\pi$
$360$	−13.4416	−	16.9320i	−0.708437	−	0.892397i
$361$	−13.7076	+	23.7423i	−0.721454	+	1.24960i
$362$	4.05399	+	7.00792i	0.213073	+	0.368328i
$363$	13.9292	−	4.83679i	0.731096	−	0.253866i
$364$	7.47369	+	15.3377i	0.391728	+	0.803916i
$365$	8.28324	−	14.3470i	0.433565	−	0.750956i
$366$	20.8138	−	7.24725i	1.08795	−	0.378820i
$367$			11.9792i			0.625311i	0.949867	+	0.312655i	$0.101218\pi$
$367$			11.9792i			0.625311i	−0.949867	+	0.312655i	$0.898782\pi$
$368$	4.30558	+	7.39911i	0.224444	+	0.385706i
$369$	10.1936	−	1.48674i	0.530657	−	0.0773964i
$370$	13.5174	−	23.4589i	0.702734	−	1.21957i
$371$	1.91444	+	1.29709i	0.0993929	+	0.0673418i
$372$	−1.02917	−	2.94763i	−0.0533599	−	0.152828i
$373$		−	28.9473i		−	1.49883i	−0.662098	−	0.749417i	$-0.730334\pi$
$373$		−	28.9473i		−	1.49883i	0.662098	−	0.749417i	$-0.269666\pi$
$374$	0.00163783	+	1.92163i	8.46902e−5	+	0.0993652i
$375$	14.6270	−	5.07907i	0.755333	−	0.262282i
$376$	5.64967	+	3.24260i	0.291359	+	0.167225i
$377$			28.2252i			1.45367i
$378$	−19.3125	−	2.24235i	−0.993327	−	0.115334i
$379$	38.1786			1.96110			0.980551	−	0.196263i	$-0.0628807\pi$
$379$	38.1786			1.96110			0.980551	+	0.196263i	$0.0628807\pi$
$380$	−34.7156	+	0.0591772i	−1.78087	+	0.00303572i
$381$	−7.38037	−	21.2544i	−0.378108	−	1.08889i
$382$	0.0290531	+	34.0874i	0.00148649	+	1.74406i
$383$	−12.7743			−0.652735			−0.326368	−	0.945243i	$-0.605825\pi$
$383$	−12.7743			−0.652735			−0.326368	+	0.945243i	$0.605825\pi$
$384$	12.7289	−	14.8988i	0.649569	−	0.760303i
$385$	10.6028	+	0.763528i	0.540368	+	0.0389130i
$386$	−31.0757	−	17.9063i	−1.58171	−	0.911406i
$387$	15.2674	+	6.07623i	0.776087	+	0.308872i
$388$	−32.3305	+	0.0551115i	−1.64133	+	0.00279786i
$389$	12.8638			0.652219			0.326109	−	0.945332i	$-0.394262\pi$
$389$	12.8638			0.652219			0.326109	+	0.945332i	$0.394262\pi$
$390$	19.0036	−	6.61695i	0.962283	−	0.335062i
$391$	1.59700	+	0.922026i	0.0807636	+	0.0466289i
$392$	2.78671	−	19.6019i	0.140750	−	0.990045i
$393$	3.23567	+	9.31825i	0.163218	+	0.470043i
$394$	−12.3260	+	7.13042i	−0.620974	+	0.359226i
$395$	9.83424	+	5.67780i	0.494815	+	0.285681i
$396$	9.36055	−	1.38154i	0.470385	−	0.0694249i
$397$	−0.312459	+	0.180398i	−0.0156819	+	0.00905393i	−0.507820	−	0.861463i	$-0.669549\pi$
$397$	−0.312459	+	0.180398i	−0.0156819	+	0.00905393i	0.492139	+	0.870517i	$0.336215\pi$
$398$	−29.6834	+	0.0252996i	−1.48790	+	0.00126815i
$399$	−22.0646	+	22.0879i	−1.10461	+	1.10578i
$400$	−3.00014	−	5.15573i	−0.150007	−	0.257787i
$401$			10.6112i			0.529897i	0.964263	+	0.264948i	$0.0853549\pi$
$401$			10.6112i			0.529897i	−0.964263	+	0.264948i	$0.914645\pi$
$402$	−18.4346	−	3.51730i	−0.919436	−	0.175427i
$403$	2.90606			0.144761
$404$	−16.7419	+	29.1124i	−0.832943	+	1.44840i
$405$	−5.31551	+	22.3056i	−0.264130	+	1.10837i
$406$	18.3487	−	27.1314i	0.910629	−	1.34651i
$407$	5.92493	+	10.2623i	0.293688	+	0.508682i
$408$	0.784050	−	4.14770i	0.0388163	−	0.205342i
$409$	0.411675	+	0.713043i	0.0203560	+	0.0352577i	0.876024	−	0.482268i	$-0.160187\pi$
$409$	0.411675	+	0.713043i	0.0203560	+	0.0352577i	−0.855668	+	0.517525i	$0.826853\pi$
$410$	12.3725	−	0.0105452i	0.611032	−	0.000520791i
$411$	−10.8084	−	31.1265i	−0.533138	−	1.53536i
$412$	−8.82713	−	5.07630i	−0.434882	−	0.250092i
$413$	−9.29710	−	19.1627i	−0.457480	−	0.942934i
$414$	3.35037	−	8.43923i	0.164662	−	0.414765i
$415$	−36.4954	+	21.0706i	−1.79149	+	1.03432i
$416$	9.18710	+	15.7571i	0.450435	+	0.772554i
$417$	−4.08831	+	21.3286i	−0.200206	+	1.04447i
$418$	7.58583	−	13.1649i	0.371035	−	0.643918i
$419$	16.1324	+	9.31404i	0.788119	+	0.455021i	0.839300	−	0.543669i	$-0.182965\pi$
$419$	16.1324	+	9.31404i	0.788119	+	0.455021i	−0.0511810	+	0.998689i	$0.516299\pi$
$420$	−22.5687	−	5.99333i	−1.10124	−	0.292445i
$421$	29.4951	−	17.0290i	1.43750	−	0.829943i	0.439828	−	0.898082i	$-0.355039\pi$
$421$	29.4951	−	17.0290i	1.43750	−	0.829943i	0.997676	+	0.0681391i	$0.0217062\pi$
$422$	−0.00504769	−	5.92234i	−0.000245718	−	0.288295i
$423$	−0.997162	−	6.83689i	−0.0484837	−	0.332421i
$424$	2.14409	+	1.23059i	0.104126	+	0.0597628i
$425$	−1.11279	−	0.642471i	−0.0539784	−	0.0311644i
$426$	−7.89220	+	9.14251i	−0.382378	+	0.442956i
$427$	13.3527	−	19.7078i	0.646180	−	0.953728i
$428$	−0.0386117	−	22.6511i	−0.00186636	−	1.09488i
$429$	−1.65798	+	8.64965i	−0.0800481	+	0.417609i
$430$	17.1000	+	9.85328i	0.824636	+	0.475167i
$431$	−6.21954	+	10.7726i	−0.299585	+	0.518896i	−0.976041	−	0.217587i	$-0.930181\pi$
$431$	−6.21954	+	10.7726i	−0.299585	+	0.518896i	0.676456	+	0.736483i	$0.263515\pi$
$432$	−20.7670	−	0.854974i	−0.999154	−	0.0411349i
$433$	29.2274			1.40458			0.702290	−	0.711891i	$-0.252161\pi$
$433$	29.2274			1.40458			0.702290	+	0.711891i	$0.252161\pi$
$434$	−2.79345	−	1.88918i	−0.134090	−	0.0906833i
$435$	−29.2199	−	25.2673i	−1.40098	−	1.21147i
$436$	−28.5026	+	16.5208i	−1.36503	+	0.791204i
$437$	−7.29034	−	12.6272i	−0.348744	−	0.604043i
$438$	−5.23738	−	15.0415i	−0.250252	−	0.718711i
$439$	7.07540	+	4.08499i	0.337691	+	0.194966i	0.659250	−	0.751924i	$-0.270874\pi$
$439$	7.07540	+	4.08499i	0.337691	+	0.194966i	−0.321560	+	0.946889i	$0.604207\pi$
$440$	11.3642	−	0.0290576i	0.541766	−	0.00138526i
$441$	−18.1755	+	10.5192i	−0.865498	+	0.500912i
$442$	3.40431	+	1.96161i	0.161926	+	0.0933043i
$443$	0.00269890	+	0.00155821i	0.000128229	+	7.40329e-5i	0.500064	−	0.865988i	$-0.333310\pi$
$443$	0.00269890	+	0.00155821i	0.000128229	+	7.40329e-5i	−0.499936	+	0.866062i	$0.666643\pi$
$444$	−8.58044	−	24.5751i	−0.407210	−	1.16628i
$445$	27.0469	−	15.6155i	1.28214	−	0.740247i
$446$	−8.09700	+	14.0521i	−0.383404	+	0.665384i
$447$	25.0120	−	8.68517i	1.18303	−	0.410795i
$448$	1.41229	−	21.1188i	0.0667244	−	0.997771i
$449$		−	4.89054i		−	0.230799i	−0.993319	−	0.115399i	$-0.963185\pi$
$449$		−	4.89054i		−	0.230799i	0.993319	−	0.115399i	$-0.0368148\pi$
$450$	−2.33455	+	5.88048i	−0.110052	+	0.277209i
$451$	−2.70754	+	4.68961i	−0.127493	+	0.220825i
$452$	−11.6519	+	6.75375i	−0.548061	+	0.317670i
$453$	−3.47385	−	10.0042i	−0.163216	−	0.470038i
$454$	18.4288	+	31.8569i	0.864906	+	1.49512i
$455$	12.1914	−	17.9938i	0.571540	−	0.843562i
$456$	−21.7665	+	25.3019i	−1.01931	+	1.18487i
$457$	8.78763	−	15.2206i	0.411068	−	0.711991i	−0.583939	−	0.811798i	$-0.698489\pi$
$457$	8.78763	−	15.2206i	0.411068	−	0.711991i	0.995007	+	0.0998069i	$0.0318225\pi$
$458$	−13.0522	−	22.5627i	−0.609891	−	1.05429i
$459$	−3.97324	+	2.06368i	−0.185455	+	0.0963244i
$460$	5.43660	−	9.45365i	0.253483	−	0.440779i
$461$	0.256068	+	0.443523i	0.0119263	+	0.0206569i	0.871927	−	0.489636i	$-0.162870\pi$
$461$	0.256068	+	0.443523i	0.0119263	+	0.0206569i	−0.860001	+	0.510293i	$0.829537\pi$
$462$	7.21671	−	7.23664i	0.335752	−	0.336679i
$463$	6.30970	+	3.64290i	0.293236	+	0.169300i	0.639400	−	0.768874i	$-0.279183\pi$
$463$	6.30970	+	3.64290i	0.293236	+	0.169300i	−0.346164	+	0.938174i	$0.612516\pi$
$464$	17.4040	−	30.3833i	0.807959	−	1.41051i
$465$	−2.60151	+	3.00847i	−0.120642	+	0.139514i
$466$	0.330485	−	0.573546i	0.0153094	−	0.0265690i
$467$	−7.04898	+	4.06973i	−0.326188	+	0.188325i	−0.654147	−	0.756367i	$-0.726972\pi$
$467$	−7.04898	+	4.06973i	−0.326188	+	0.188325i	0.327960	+	0.944692i	$0.393639\pi$
$468$	7.12313	−	17.9871i	0.329267	−	0.831453i
$469$	−18.2377	+	8.84835i	−0.842141	+	0.408579i
$470$	−0.00707273	−	8.29828i	−0.000326241	−	0.382771i
$471$	−0.310112	+	0.358623i	−0.0142892	+	0.0165245i
$472$	−11.4351	−	19.6898i	−0.526345	−	0.906297i
$473$	−7.48054	+	4.31889i	−0.343955	+	0.198583i
$474$	10.3103	−	3.59000i	0.473568	−	0.164894i
$475$	5.07994	+	8.79871i	0.233083	+	0.403712i
$476$	−1.99718	−	4.09867i	−0.0915406	−	0.187862i
$477$	−0.378430	−	2.59465i	−0.0173271	−	0.118801i
$478$	0.00370220	+	4.34370i	0.000169334	+	0.198676i
$479$	13.1295			0.599901			0.299950	−	0.953955i	$-0.403030\pi$
$479$	13.1295			0.599901			0.299950	+	0.953955i	$0.403030\pi$
$480$	−24.5367	−	4.59492i	−1.11994	−	0.209729i
$481$	24.2285			1.10473
$482$	22.3740	−	12.9431i	1.01911	−	0.589541i
$483$	−2.54335	−	9.47195i	−0.115726	−	0.430989i
$484$	8.48795	−	14.7596i	0.385816	−	0.670891i
$485$	20.5929	+	35.6680i	0.935078	+	1.61960i
$486$	12.8938	+	17.8816i	0.584874	+	0.811124i
$487$	5.68311	+	3.28115i	0.257526	+	0.148683i	0.623206	−	0.782058i	$-0.285830\pi$
$487$	5.68311	+	3.28115i	0.257526	+	0.148683i	−0.365679	+	0.930741i	$0.619163\pi$
$488$	12.6681	−	22.0719i	0.573456	−	0.999146i
$489$	0.159940	+	0.138305i	0.00723273	+	0.00625436i
$490$	−23.4164	+	9.37114i	−1.05784	+	0.423345i
$491$	−3.03589	−	1.75277i	−0.137008	−	0.0791015i	0.429929	−	0.902863i	$-0.358538\pi$
$491$	−3.03589	−	1.75277i	−0.137008	−	0.0791015i	−0.566937	+	0.823761i	$0.691872\pi$
$492$	7.76514	−	9.01084i	0.350079	−	0.406240i
$493$		−	7.54256i		−	0.339700i
$494$	−15.5561	−	26.8909i	−0.699900	−	1.20988i
$495$	−7.47024	−	9.45961i	−0.335762	−	0.425178i
$496$	−3.12826	−	1.79191i	−0.140463	−	0.0804591i
$497$	−0.937004	+	13.0118i	−0.0420304	+	0.583658i
$498$	−7.59327	+	39.7973i	−0.340263	+	1.78336i
$499$	18.0688			0.808869			0.404434	−	0.914567i	$-0.367468\pi$
$499$	18.0688			0.808869			0.404434	+	0.914567i	$0.367468\pi$
$500$	8.91312	−	15.4989i	0.398607	−	0.693133i
$501$	−3.51146	+	18.3192i	−0.156880	+	0.818440i
$502$	19.4622	+	33.6432i	0.868638	+	1.50157i
$503$	−14.0161			−0.624948			−0.312474	−	0.949926i	$-0.601158\pi$
$503$	−14.0161			−0.624948			−0.312474	+	0.949926i	$0.601158\pi$
$504$	−18.5402	+	12.6595i	−0.825845	+	0.563897i
$505$	42.7815			1.90375
$506$	2.39002	+	4.13151i	0.106250	+	0.183668i
$507$	−3.41097	−	2.94956i	−0.151486	−	0.130995i
$508$	−22.5214	−	12.9516i	−0.999226	−	0.574634i
$509$	−23.6211			−1.04698			−0.523492	−	0.852030i	$-0.675371\pi$
$509$	−23.6211			−1.04698			−0.523492	+	0.852030i	$0.675371\pi$
$510$	−5.07829	+	1.76824i	−0.224870	+	0.0782988i
$511$	−14.2423	−	9.64959i	−0.630041	−	0.426873i
$512$	−0.173569	−	22.6268i	−0.00767074	−	0.999971i
$513$	35.3656	+	1.57679i	1.56143	+	0.0696168i
$514$	4.50268	+	7.78354i	0.198605	+	0.343317i
$515$			12.9717i			0.571602i
$516$	17.9137	−	6.25459i	0.788606	−	0.275343i
$517$	3.14534	+	1.81596i	0.138332	+	0.0798660i
$518$	−23.2897	−	15.7505i	−1.02329	−	0.692039i
$519$	−2.61485	+	13.6416i	−0.114779	+	0.598801i
$520$	11.5663	−	20.1522i	0.507216	−	0.883734i
$521$	−11.1413	−	6.43245i	−0.488111	−	0.281811i	0.235680	−	0.971831i	$-0.424268\pi$
$521$	−11.1413	−	6.43245i	−0.488111	−	0.281811i	−0.723790	+	0.690020i	$0.757602\pi$
$522$	−36.7455	+	5.39133i	−1.60831	+	0.235972i
$523$	−9.47253	−	16.4069i	−0.414205	−	0.717424i	0.581140	−	0.813804i	$-0.302607\pi$
$523$	−9.47253	−	16.4069i	−0.414205	−	0.717424i	−0.995345	+	0.0963797i	$0.969274\pi$
$524$	9.87373	+	5.67818i	0.431336	+	0.248053i
$525$	1.77221	+	6.60009i	0.0773458	+	0.288052i
$526$	−11.0013	+	6.36408i	−0.479677	+	0.277487i
$527$	−0.776581			−0.0338284
$528$	7.11823	−	8.28868i	0.309781	−	0.360718i
$529$	−18.4197			−0.800856
$530$	−0.00268415	−	3.14926i	−0.000116592	−	0.136795i
$531$	−8.93040	+	22.4389i	−0.387546	+	0.973766i
$532$	−2.52805	+	35.9616i	−0.109605	+	1.55913i
$533$	5.53592	+	9.58850i	0.239787	+	0.415324i
$534$	5.62740	−	29.4939i	0.243521	−	1.27633i
$535$	−24.9894	+	14.4276i	−1.08038	+	0.623760i
$536$	−18.7394	+	10.8832i	−0.809420	+	0.470082i
$537$	22.5792	+	4.32802i	0.974362	+	0.186768i
$538$	0.00350820	+	4.11610i	0.000151249	+	0.177458i
$539$	1.58167	−	10.9250i	0.0681273	−	0.470575i
$540$	12.2443	+	23.4763i	0.526911	+	1.01026i
$541$	−0.497868	+	0.287444i	−0.0214050	+	0.0123582i	−0.510664	−	0.859780i	$-0.670601\pi$
$541$	−0.497868	+	0.287444i	−0.0214050	+	0.0123582i	0.489259	+	0.872138i	$0.337267\pi$
$542$	−1.22106	+	2.11910i	−0.0524489	+	0.0910233i
$543$	−3.25257	−	9.36693i	−0.139581	−	0.401973i
$544$	−2.45505	−	4.21073i	−0.105260	−	0.180534i
$545$	36.3453	+	20.9840i	1.55686	+	0.898854i
$546$	−5.43617	−	20.1767i	−0.232647	−	0.863485i
$547$	17.8560	+	30.9275i	0.763468	+	1.32236i	0.941053	+	0.338259i	$0.109838\pi$
$547$	17.8560	+	30.9275i	0.763468	+	1.32236i	−0.177585	+	0.984105i	$0.556829\pi$
$548$	−32.9821	−	18.9673i	−1.40892	−	0.810244i
$549$	−26.7100	+	3.89567i	−1.13996	+	0.166263i
$550$	−1.66538	−	2.87885i	−0.0710119	−	0.122755i
$551$	−29.8190	+	51.6481i	−1.27033	+	2.20028i
$552$	−3.46455	−	9.89567i	−0.147461	−	0.421188i
$553$	6.61438	−	9.76246i	0.281272	−	0.415142i
$554$	−22.4177	−	38.7523i	−0.952436	−	1.64643i
$555$	−21.6895	+	25.0824i	−0.920667	+	1.06469i
$556$	12.5753	+	21.6955i	0.533310	+	0.920095i
$557$	−14.7129	+	25.4835i	−0.623406	+	1.07977i	0.365441	+	0.930835i	$0.380918\pi$
$557$	−14.7129	+	25.4835i	−0.623406	+	1.07977i	−0.988847	+	0.148936i	$0.952415\pi$
$558$	0.555090	+	3.78331i	0.0234989	+	0.160160i
$559$			17.6610i			0.746982i
$560$	−24.2187	+	11.8523i	−1.02343	+	0.500851i
$561$	0.443059	−	2.31143i	0.0187060	−	0.0975886i
$562$	14.7040	−	25.5183i	0.620252	−	1.07642i
$563$	7.21073	−	4.16312i	0.303896	−	0.175454i	−0.340296	−	0.940318i	$-0.610527\pi$
$563$	7.21073	−	4.16312i	0.303896	−	0.175454i	0.644192	+	0.764864i	$0.277194\pi$
$564$	−6.04362	−	5.20812i	−0.254482	−	0.219301i
$565$	14.8580	+	8.57828i	0.625082	+	0.360891i
$566$	33.7400	+	19.4415i	1.41820	+	0.817187i
$567$	22.7068	+	7.16933i	0.953598	+	0.301083i
$568$	0.0356595	+	13.9462i	0.00149624	+	0.585168i
$569$	−0.386693	−	0.223257i	−0.0162110	−	0.00935943i	0.491873	−	0.870667i	$-0.336313\pi$
$569$	−0.386693	−	0.223257i	−0.0162110	−	0.00935943i	−0.508084	+	0.861308i	$0.669646\pi$
$570$	41.7644	+	7.96859i	1.74932	+	0.333768i
$571$	−22.8004	−	39.4915i	−0.954169	−	1.65267i	−0.736259	−	0.676700i	$-0.763409\pi$
$571$	−22.8004	−	39.4915i	−0.954169	−	1.65267i	−0.217910	−	0.975969i	$-0.569924\pi$
$572$	5.09980	+	8.79843i	0.213233	+	0.367881i
$573$	7.85933	−	41.0019i	0.328328	−	1.71288i
$574$	0.911907	−	12.8157i	0.0380623	−	0.534919i
$575$	−3.19158			−0.133098
$576$	−18.7588	+	14.9702i	−0.781617	+	0.623758i
$577$	9.15345	−	15.8542i	0.381063	−	0.660021i	−0.610151	−	0.792285i	$-0.708891\pi$
$577$	9.15345	−	15.8542i	0.381063	−	0.660021i	0.991214	+	0.132264i	$0.0422247\pi$
$578$	19.9212	+	11.4789i	0.828612	+	0.477458i
$579$	33.2263	+	28.7318i	1.38084	+	1.19405i
$580$	−44.6054	+	0.0760356i	−1.85214	+	0.00315720i
$581$	19.1021	+	39.3723i	0.792489	+	1.63344i
$582$	38.8951	+	7.42112i	1.61225	+	0.307615i
$583$	1.19368	+	0.689172i	0.0494372	+	0.0285426i
$584$	−15.9507	−	9.15485i	−0.660045	−	0.378830i
$585$	−24.3870	+	3.55686i	−1.00828	+	0.147058i
$586$	−0.0108845	−	12.7706i	−0.000449635	−	0.527547i
$587$	−27.1262	+	15.6613i	−1.11962	+	0.646412i	−0.941303	−	0.337561i	$-0.890398\pi$
$587$	−27.1262	+	15.6613i	−1.11962	+	0.646412i	−0.178315	+	0.983973i	$0.557065\pi$
$588$	−7.89102	+	22.9288i	−0.325420	+	0.945570i
$589$	5.31767	+	3.07016i	0.219111	+	0.126504i
$590$	−14.4816	+	25.1323i	−0.596199	+	1.03468i
$591$	16.4752	−	5.72084i	0.677698	−	0.235324i
$592$	−26.0811	−	14.9396i	−1.07193	−	0.614014i
$593$	13.3833	−	7.72684i	0.549585	−	0.317303i	−0.199369	−	0.979924i	$-0.563889\pi$
$593$	13.3833	−	7.72684i	0.549585	−	0.317303i	0.748955	+	0.662621i	$0.230556\pi$
$594$	−11.5774	−	0.506296i	−0.475027	−	0.0207736i
$595$	−3.25787	+	4.80845i	−0.133560	+	0.197127i
$596$	15.2414	−	26.5031i	0.624311	−	1.08561i
$597$	35.7046	+	6.84393i	1.46129	+	0.280104i
$598$	9.75901	−	0.00831773i	0.399076	−	0.000340137i
$599$	−19.2672	−	33.3718i	−0.787238	−	1.36354i	−0.927653	−	0.373444i	$-0.878177\pi$
$599$	−19.2672	−	33.3718i	−0.787238	−	1.36354i	0.140415	−	0.990093i	$-0.455156\pi$
$600$	2.41411	+	6.89534i	0.0985557	+	0.281501i
$601$	−15.3534	−	26.5928i	−0.626277	−	1.08474i	−0.988292	−	0.152572i	$-0.951244\pi$
$601$	−15.3534	−	26.5928i	−0.626277	−	1.08474i	0.362015	−	0.932172i	$-0.382089\pi$
$602$	11.4811	−	16.9767i	0.467936	−	0.691917i
$603$	21.3558	+	8.49935i	0.869677	+	0.346120i
$604$	−10.6006	−	6.09617i	−0.431331	−	0.248050i
$605$	−21.6897			−0.881810
$606$	26.8768	−	31.1348i	1.09180	−	1.26476i
$607$		−	14.0232i		−	0.569184i	−0.958649	−	0.284592i	$-0.908142\pi$
$607$		−	14.0232i		−	0.569184i	0.958649	−	0.284592i	$-0.0918582\pi$
$608$	0.164238	+	38.5391i	0.00666072	+	1.56297i
$609$	−28.3504	+	28.3803i	−1.14882	+	1.15003i
$610$	−32.4193	+	0.0276314i	−1.31262	+	0.00111876i
$611$	6.43106	−	3.71297i	0.260173	−	0.150211i
$612$	−1.90350	+	4.80665i	−0.0769445	+	0.194298i
$613$	20.2248	+	11.6768i	0.816871	+	0.471621i	0.849336	−	0.527852i	$-0.177002\pi$
$613$	20.2248	+	11.6768i	0.816871	+	0.471621i	−0.0324650	+	0.999473i	$0.510336\pi$
$614$	30.7962	−	17.8152i	1.24283	−	0.718963i
$615$	−14.8822	−	2.85265i	−0.600107	−	0.115030i
$616$	0.817528	−	11.7728i	0.0329391	−	0.474339i
$617$	3.18790	+	1.84053i	0.128340	+	0.0740971i	0.562795	−	0.826596i	$-0.309726\pi$
$617$	3.18790	+	1.84053i	0.128340	+	0.0740971i	−0.434456	+	0.900693i	$0.643059\pi$
$618$	9.44033	+	8.14928i	0.379746	+	0.327812i
$619$	26.5452			1.06694			0.533472	−	0.845818i	$-0.320887\pi$
$619$	26.5452			1.06694			0.533472	+	0.845818i	$0.320887\pi$
$620$	0.00782861	+	4.59256i	0.000314404	+	0.184442i
$621$	−5.98376	+	9.37352i	−0.240120	+	0.376147i
$622$	−33.4805	−	19.2919i	−1.34245	−	0.773537i
$623$	−14.1566	−	29.1789i	−0.567174	−	1.16903i
$624$	−7.39970	−	21.0779i	−0.296225	−	0.843790i
$625$	−30.2325			−1.20930
$626$	0.0147876	+	17.3499i	0.000591030	+	0.693442i
$627$	−12.1720	+	14.0760i	−0.486101	+	0.562142i
$628$	0.000933204		0.547454i	3.72389e−5		0.0218458i
$629$	−6.47455			−0.258157
$630$	25.7543	+	12.4345i	1.02607	+	0.495404i
$631$		−	18.6069i		−	0.740731i	−0.928886	−	0.370365i	$-0.879233\pi$
$631$		−	18.6069i		−	0.740731i	0.928886	−	0.370365i	$-0.120767\pi$
$632$	6.27525	−	10.9335i	0.249616	−	0.434912i
$633$	−1.36548	+	7.12368i	−0.0542730	+	0.283141i
$634$	0.0259078	+	30.3971i	0.00102893	+	1.20722i
$635$			33.0958i			1.31337i
$636$	−2.29360	−	1.97652i	−0.0909471	−	0.0783741i
$637$	−17.7280	−	13.9695i	−0.702409	−	0.553491i
$638$	9.74688	−	16.9154i	0.385883	−	0.669686i
$639$	11.6089	−	9.16750i	0.459239	−	0.362661i
$640$	−24.8768	+	14.5612i	−0.983341	+	0.575582i
$641$		−	11.9579i		−	0.472307i	−0.971716	−	0.236154i	$-0.924113\pi$
$641$		−	11.9579i		−	0.472307i	0.971716	−	0.236154i	$-0.0758869\pi$
$642$	−5.19931	+	27.2503i	−0.205200	+	1.07548i
$643$	−6.37259	+	11.0377i	−0.251311	+	0.435283i	−0.963887	−	0.266312i	$-0.914195\pi$
$643$	−6.37259	+	11.0377i	−0.251311	+	0.435283i	0.712576	+	0.701595i	$0.247528\pi$
$644$	−9.38625	−	6.33616i	−0.369870	−	0.249680i
$645$	−18.2834	−	15.8102i	−0.719909	−	0.622527i
$646$	4.15702	+	7.18601i	0.163556	+	0.282730i
$647$	−3.28651	+	5.69240i	−0.129206	+	0.223792i	−0.923369	−	0.383913i	$-0.874576\pi$
$647$	−3.28651	+	5.69240i	−0.129206	+	0.223792i	0.794163	+	0.607705i	$0.207910\pi$
$648$	24.7774	+	5.83765i	0.973350	+	0.229325i
$649$	−6.34758	−	10.9943i	−0.249164	−	0.431565i
$650$	−6.80011	+	0.00579582i	−0.266722	+	0.000227331i
$651$	2.92203	+	2.91895i	0.114523	+	0.114403i
$652$	0.244155		0.000416194i	0.00956186		1.62994e-5i
$653$	−46.9376			−1.83681			−0.918405	−	0.395642i	$-0.870522\pi$
$653$	−46.9376			−1.83681			−0.918405	+	0.395642i	$0.870522\pi$
$654$	38.1047	−	13.2679i	1.49001	−	0.518815i
$655$		−	14.5097i		−	0.566942i
$656$	−0.0468268	−	13.7352i	−0.00182828	−	0.536268i
$657$	2.81529	+	19.3026i	0.109835	+	0.753066i
$658$	−8.59558	−	0.611621i	−0.335091	−	0.0238435i
$659$	15.9328	−	9.19883i	0.620655	−	0.358335i	−0.156469	−	0.987683i	$-0.550011\pi$
$659$	15.9328	−	9.19883i	0.620655	−	0.358335i	0.777124	+	0.629348i	$0.216678\pi$
$660$	−13.6739	−	2.59687i	−0.532254	−	0.101083i
$661$	14.2097	−	8.20397i	0.552693	−	0.319097i	−0.197514	−	0.980300i	$-0.563287\pi$
$661$	14.2097	−	8.20397i	0.552693	−	0.319097i	0.750207	+	0.661203i	$0.229954\pi$
$662$	−0.0265884	−	31.1956i	−0.00103339	−	1.21245i
$663$	−3.63990	−	3.14753i	−0.141362	−	0.122240i
$664$	23.4950	+	40.4553i	0.911783	+	1.56997i
$665$	41.3183	−	20.0463i	1.60226	−	0.777362i
$666$	4.62793	+	31.5424i	0.179329	+	1.22224i
$667$	−9.36721	−	16.2245i	−0.362700	−	0.628215i
$668$	10.8009	+	18.6343i	0.417900	+	0.720983i
$669$	12.9922	−	15.0245i	0.502306	−	0.580882i
$670$	23.9193	+	13.7826i	0.924082	+	0.532469i
$671$	7.09453	−	12.2881i	0.273881	−	0.474376i
$672$	−6.58938	+	25.0715i	−0.254191	+	0.967154i
$673$	−7.88775	−	13.6620i	−0.304050	−	0.526631i	0.672999	−	0.739643i	$-0.265006\pi$
$673$	−7.88775	−	13.6620i	−0.304050	−	0.526631i	−0.977049	+	0.213013i	$0.931672\pi$
$674$	0.00678953	+	7.96601i	0.000261523	+	0.306839i
$675$	4.16950	−	6.53151i	0.160484	−	0.251398i
$676$	−5.20699	+	0.00887598i	−0.200269	+	0.000341384i
$677$	13.1603	−	22.7943i	0.505790	−	0.876055i	−0.494187	−	0.869356i	$-0.664534\pi$
$677$	13.1603	−	22.7943i	0.505790	−	0.876055i	0.999978	−	0.00669920i	$-0.00213244\pi$
$678$	15.5773	−	5.42394i	0.598242	−	0.208305i
$679$	38.4796	−	18.6691i	1.47671	−	0.716452i
$680$	−3.09084	+	5.38525i	−0.118528	+	0.206515i
$681$	−14.7857	−	42.5806i	−0.566588	−	1.63169i
$682$	−1.74160	−	1.00354i	−0.0666894	−	0.0384274i
$683$	6.74844	+	3.89621i	0.258222	+	0.149084i	0.623523	−	0.781805i	$-0.285701\pi$
$683$	6.74844	+	3.89621i	0.258222	+	0.149084i	−0.365301	+	0.930889i	$0.619034\pi$
$684$	32.0371	−	25.3884i	1.22497	−	0.970751i
$685$			48.4681i			1.85187i
$686$	7.95973	+	24.9528i	0.303904	+	0.952703i
$687$	10.4720	+	30.1578i	0.399532	+	1.15059i
$688$	10.8900	−	19.0114i	0.415177	−	0.724804i
$689$	2.44063	−	1.40910i	0.0929807	−	0.0536824i
$690$	−8.72769	+	10.1104i	−0.332258	+	0.384895i
$691$	−2.17582	+	3.76864i	−0.0827722	+	0.143366i	−0.904440	−	0.426601i	$-0.859711\pi$
$691$	−2.17582	+	3.76864i	−0.0827722	+	0.143366i	0.821668	+	0.569967i	$0.193044\pi$
$692$	8.04305	+	13.8763i	0.305751	+	0.527497i
$693$	−10.3551	+	7.03183i	−0.393358	+	0.267117i
$694$	−15.7825	+	27.3901i	−0.599097	+	1.03971i
$695$	15.9725	−	27.6652i	0.605871	−	1.04940i
$696$	−27.9673	+	32.5099i	−1.06010	+	1.23228i
$697$	−1.47935	−	2.56232i	−0.0560345	−	0.0970546i
$698$	13.1223	−	22.7733i	0.496686	−	0.861982i
$699$	−0.530285	+	0.613238i	−0.0200572	+	0.0231948i
$700$	6.54037	+	4.41506i	0.247203	+	0.166874i
$701$	−19.8619			−0.750174			−0.375087	−	0.926990i	$-0.622387\pi$
$701$	−19.8619			−0.750174			−0.375087	+	0.926990i	$0.622387\pi$
$702$	−12.7322	+	19.9825i	−0.480548	+	0.754192i
$703$	44.3348	+	25.5967i	1.67212	+	0.965398i
$704$	−0.0645160	−	12.6158i	−0.00243154	−	0.475475i
$705$	−1.91329	+	9.98156i	−0.0720585	+	0.375927i
$706$	−4.09774	−	7.08354i	−0.154220	−	0.266592i
$707$	3.19096	−	44.3115i	0.120008	−	1.66651i
$708$	9.19252	+	26.3282i	0.345476	+	0.989474i
$709$	−10.7935	−	6.23166i	−0.405360	−	0.234035i	0.283434	−	0.958992i	$-0.408526\pi$
$709$	−10.7935	−	6.23166i	−0.405360	−	0.234035i	−0.688794	+	0.724957i	$0.741860\pi$
$710$	15.3783	−	8.89613i	0.577136	−	0.333866i
$711$	−13.2311	+	1.92976i	−0.496205	+	0.0723716i
$712$	−17.4122	−	29.9815i	−0.652551	−	1.12361i
$713$	−1.67047	+	0.964446i	−0.0625596	+	0.0361188i
$714$	1.45270	+	5.39179i	0.0543659	+	0.201783i
$715$	6.47751	−	11.2194i	0.242245	−	0.419581i
$716$	22.9676	−	13.3126i	0.858338	−	0.497514i
$717$	1.00150	−	5.22481i	0.0374018	−	0.195124i
$718$	−20.7652	−	11.9652i	−0.774951	−	0.446538i
$719$	2.38170	+	4.12522i	0.0888223	+	0.153845i	0.907014	−	0.421101i	$-0.138356\pi$
$719$	2.38170	+	4.12522i	0.0888223	+	0.153845i	−0.818191	+	0.574946i	$0.805023\pi$
$720$	28.4449	+	11.2085i	1.06008	+	0.417717i
$721$	13.4356	+	0.967526i	0.500369	+	0.0360326i
$722$	−0.0330450	−	38.7710i	−0.00122981	−	1.44291i
$723$	−29.9056	+	10.3844i	−1.11220	+	0.386201i
$724$	−9.92532	−	5.70785i	−0.368871	−	0.212130i
$725$	6.52711	+	11.3053i	0.242411	+	0.419868i
$726$	−13.6262	+	15.7849i	−0.505716	+	0.585833i
$727$	−12.2945	+	7.09822i	−0.455977	+	0.263258i	−0.710351	−	0.703847i	$-0.751464\pi$
$727$	−12.2945	+	7.09822i	−0.455977	+	0.263258i	0.254374	+	0.967106i	$0.418131\pi$
$728$	−20.0103	−	13.4831i	−0.741630	−	0.499716i
$729$	−11.3655	−	24.4913i	−0.420945	−	0.907086i
$730$	0.0199684	+	23.4285i	0.000739065	+	0.867129i
$731$		−	4.71953i		−	0.174558i
$732$	−20.3468	+	23.6109i	−0.752041	+	0.872685i
$733$		−	31.0622i		−	1.14731i	−0.819098	−	0.573654i	$-0.805525\pi$
$733$		−	31.0622i		−	1.14731i	0.819098	−	0.573654i	$-0.194475\pi$
$734$	−8.48310	−	14.6643i	−0.313117	−	0.541268i
$735$	30.3320	−	5.84722i	1.11881	−	0.215678i
$736$	−10.5103	−	6.00857i	−0.387416	−	0.221479i
$737$	−10.4637	+	6.04120i	−0.385434	+	0.222530i
$738$	−11.4256	+	9.03856i	−0.420580	+	0.332714i
$739$	−10.6032	+	18.3653i	−0.390046	+	0.675580i	−0.992455	−	0.122607i	$-0.960874\pi$
$739$	−10.6032	+	18.3653i	−0.390046	+	0.675580i	0.602409	+	0.798188i	$0.294208\pi$
$740$	0.0652690	+	38.2893i	0.00239934	+	1.40754i
$741$	12.4808	+	35.9430i	0.458495	+	1.32040i
$742$	−3.26209	−	0.232115i	−0.119755	−	0.00852120i
$743$	−23.1441	+	40.0867i	−0.849074	+	1.47064i	0.0329612	+	0.999457i	$0.489506\pi$
$743$	−23.1441	+	40.0867i	−0.849074	+	1.47064i	−0.882035	+	0.471183i	$0.843827\pi$
$744$	3.34721	+	2.87951i	0.122715	+	0.105568i
$745$	−38.9470			−1.42691
$746$	20.4990	+	35.4356i	0.750523	+	1.29739i
$747$	18.3487	−	46.1037i	0.671343	−	1.68685i
$748$	−1.36281	−	2.35119i	−0.0498292	−	0.0859680i
$749$	13.0797	+	26.9592i	0.477923	+	0.985068i
$750$	−14.3087	+	16.5756i	−0.522481	+	0.605255i
$751$		−	5.17106i		−	0.188695i	−0.995539	−	0.0943474i	$-0.969924\pi$
$751$		−	5.17106i		−	0.188695i	0.995539	−	0.0943474i	$-0.0300764\pi$
$752$	−9.21225	+	0.0314070i	−0.335936	+	0.00114529i
$753$	−15.6148	−	44.9682i	−0.569033	−	1.63873i
$754$	−19.9877	−	34.5516i	−0.727908	−	1.25830i
$755$			15.5778i			0.566935i
$756$	25.2291	−	10.9312i	0.917575	−	0.397563i
$757$		−	34.0046i		−	1.23592i	−0.786210	−	0.617960i	$-0.787960\pi$
$757$		−	34.0046i		−	1.23592i	0.786210	−	0.617960i	$-0.212040\pi$
$758$	−46.7360	+	27.0362i	−1.69753	+	0.981998i
$759$	−1.91755	−	5.52226i	−0.0696026	−	0.200445i
$760$	42.4549	−	24.6563i	1.54000	−	0.894378i
$761$		−	7.97739i		−	0.289180i	−0.989492	−	0.144590i	$-0.953814\pi$
$761$		−	7.97739i		−	0.289180i	0.989492	−	0.144590i	$-0.0461863\pi$
$762$	24.0859	+	20.7920i	0.872540	+	0.753213i
$763$	24.4453	−	36.0800i	0.884980	−	1.30618i
$764$	−24.1746	−	41.7072i	−0.874605	−	1.50892i
$765$	6.51690	−	0.950492i	0.235619	−	0.0343651i
$766$	15.6375	−	9.04611i	0.565007	−	0.326849i
$767$	−25.9569			−0.937248
$768$	−5.03137	+	27.2523i	−0.181554	+	0.983381i
$769$	2.09791	−	3.63369i	0.0756526	−	0.131034i	−0.825717	−	0.564084i	$-0.809229\pi$
$769$	2.09791	−	3.63369i	0.0756526	−	0.131034i	0.901370	+	0.433050i	$0.142563\pi$
$770$	−13.5200	+	6.57371i	−0.487228	+	0.236900i
$771$	−3.61256	−	10.4036i	−0.130103	−	0.374678i
$772$	50.7214	−	0.0864611i	1.82550	−	0.00311180i
$773$	−12.6437	+	21.8996i	−0.454764	+	0.787674i	−0.998675	−	0.0514691i	$-0.983610\pi$
$773$	−12.6437	+	21.8996i	−0.454764	+	0.787674i	0.543911	+	0.839143i	$0.316943\pi$
$774$	−22.9924	+	3.37346i	−0.826444	+	0.121257i
$775$	1.16399	−	0.672030i	0.0418117	−	0.0241400i
$776$	39.5381	−	22.9623i	1.41934	−	0.824300i
$777$	24.3617	+	24.3360i	0.873970	+	0.873049i
$778$	−15.7471	+	9.10948i	−0.564560	+	0.326591i
$779$			23.3941i			0.838181i
$780$	−18.5773	+	21.5575i	−0.665172	+	0.771881i
$781$			7.77571i			0.278237i
$782$	−2.60788	+	0.00222273i	−0.0932577	+	7.94847e-5i
$783$	45.4406	+	2.02598i	1.62391	+	0.0724027i
$784$	10.4698	+	25.9689i	0.373920	+	0.927461i
$785$	0.603968	−	0.348701i	0.0215565	−	0.0124457i
$786$	−10.5596	−	9.11552i	−0.376650	−	0.325140i
$787$	−3.36181	−	5.82282i	−0.119835	−	0.207561i	0.799867	−	0.600177i	$-0.204903\pi$
$787$	−3.36181	−	5.82282i	−0.119835	−	0.207561i	−0.919702	+	0.392616i	$0.871570\pi$
$788$	10.0393	−	17.4573i	0.357637	−	0.621891i
$789$	14.7045	−	5.10599i	0.523494	−	0.181778i
$790$	−16.0592	+	0.0136875i	−0.571362	+	0.000486980i
$791$	9.99330	−	14.7496i	0.355321	−	0.524435i
$792$	−10.4803	+	8.31987i	−0.372401	+	0.295634i
$793$	−14.5057	−	25.1246i	−0.515111	−	0.892199i
$794$	0.254745	−	0.442101i	0.00904056	−	0.0156896i
$795$	−0.726106	+	3.78807i	−0.0257523	+	0.134349i
$796$	36.3188	−	21.0513i	1.28729	−	0.746143i
$797$	13.3601	−	23.1403i	0.473237	−	0.819671i	−0.526293	−	0.850303i	$-0.676419\pi$
$797$	13.3601	−	23.1403i	0.473237	−	0.819671i	0.999531	+	0.0306320i	$0.00975200\pi$
$798$	11.3687	−	42.6637i	0.402447	−	1.51028i
$799$	−1.71856	+	0.992211i	−0.0607983	+	0.0351019i
$800$	7.32363	+	4.18679i	0.258930	+	0.148025i
$801$	−13.5983	+	34.1676i	−0.480471	+	1.20725i
$802$	−7.51431	−	12.9896i	−0.265339	−	0.458678i
$803$	−8.88025	−	5.12701i	−0.313377	−	0.180928i
$804$	25.0574	−	8.74882i	0.883706	−	0.308547i
$805$	−1.03620	+	14.3893i	−0.0365212	+	0.507155i
$806$	−3.55743	+	2.05793i	−0.125305	+	0.0724874i
$807$	0.949025	−	4.95104i	0.0334073	−	0.174285i
$808$	−0.121438	−	47.4935i	−0.00427218	−	1.67082i
$809$	28.3438	+	16.3643i	0.996516	+	0.575339i	0.907216	−	0.420666i	$-0.138204\pi$
$809$	28.3438	+	16.3643i	0.996516	+	0.575339i	0.0893002	+	0.996005i	$0.471537\pi$
$810$	−9.28877	−	31.0694i	−0.326374	−	1.09167i
$811$	−16.0158			−0.562392			−0.281196	−	0.959650i	$-0.590731\pi$
$811$	−16.0158			−0.562392			−0.281196	+	0.959650i	$0.590731\pi$
$812$	−3.24825	+	46.2063i	−0.113991	+	1.62152i
$813$	1.95927	−	2.26576i	0.0687145	−	0.0794635i
$814$	−14.5202	−	8.36674i	−0.508932	−	0.293254i
$815$	−0.155515	−	0.269360i	−0.00544745	−	0.00943525i
$816$	1.97741	+	5.63260i	0.0692231	+	0.197180i
$817$	−18.6583	+	32.3172i	−0.652773	+	1.13064i
$818$	−1.00889	−	0.581337i	−0.0352750	−	0.0203260i
$819$	1.86510	+	25.5245i	0.0651718	+	0.891899i
$820$	−15.1382	+	8.77447i	−0.528648	+	0.306418i
$821$	−1.29778	+	2.24781i	−0.0452927	+	0.0784492i	−0.887783	−	0.460262i	$-0.847755\pi$
$821$	−1.29778	+	2.24781i	−0.0452927	+	0.0784492i	0.842490	+	0.538711i	$0.181089\pi$
$822$	35.2732	+	30.4493i	1.23030	+	1.06204i
$823$	16.3905	−	9.46306i	0.571337	−	0.329862i	−0.186346	−	0.982484i	$-0.559665\pi$
$823$	16.3905	−	9.46306i	0.571337	−	0.329862i	0.757683	+	0.652623i	$0.226331\pi$
$824$	14.4004	−	0.0368211i	0.501663	−	0.00128272i
$825$	1.33616	+	3.84793i	0.0465190	+	0.133968i
$826$	24.9510	+	16.8741i	0.868157	+	0.587125i
$827$			40.8856i			1.42173i	0.703328	+	0.710866i	$0.251697\pi$
$827$			40.8856i			1.42173i	−0.703328	+	0.710866i	$0.748303\pi$
$828$	1.87491	+	12.7034i	0.0651577	+	0.441473i
$829$	−6.41913	−	3.70608i	−0.222945	−	0.128718i	0.384368	−	0.923180i	$-0.374419\pi$
$829$	−6.41913	−	3.70608i	−0.222945	−	0.128718i	−0.607313	+	0.794462i	$0.707753\pi$
$830$	29.7544	−	51.6377i	1.03279	−	1.79237i
$831$	17.9860	+	51.7971i	0.623928	+	1.79682i
$832$	−22.4047	−	12.7830i	−0.776743	−	0.443172i
$833$	4.73742	+	3.73304i	0.164142	+	0.129342i
$834$	−10.0992	−	29.0044i	−0.349707	−	1.00434i
$835$	13.7188	−	23.7616i	0.474758	−	0.822305i
$836$	0.0366285	+	21.4877i	0.00126682	+	0.743166i
$837$	0.208595	−	4.67855i	0.00721009	−	0.161714i
$838$	−26.3441	+	0.0224534i	−0.910041	+	0.000775640i
$839$	18.1496	+	31.4359i	0.626592	+	1.08529i	0.988231	+	0.152971i	$0.0488841\pi$
$839$	18.1496	+	31.4359i	0.626592	+	1.08529i	−0.361638	+	0.932318i	$0.617783\pi$
$840$	31.8715	−	8.64536i	1.09967	−	0.298293i
$841$	−23.8139	+	41.2468i	−0.821168	+	1.42230i
$842$	−24.0471	+	41.7329i	−0.828718	+	1.43821i
$843$	−23.5935	+	27.2843i	−0.812605	+	0.939721i
$844$	4.20009	+	7.24622i	0.144573	+	0.249425i
$845$	3.31659	+	5.74451i	0.114094	+	0.197617i
$846$	6.06221	+	7.66318i	0.208423	+	0.263466i
$847$	−1.61777	+	22.4654i	−0.0555874	+	0.771919i
$848$	−3.49611	+	0.0119192i	−0.120057	+	0.000409306i
$849$	−36.0750	−	31.1951i	−1.23809	−	1.07061i
$850$	1.81718	−	0.00154881i	0.0623288	−	5.31237e-5i
$851$	−13.9271	+	8.04083i	−0.477416	+	0.275636i
$852$	3.18689	−	16.7806i	0.109181	−	0.574894i
$853$	24.7168	−	14.2702i	0.846286	−	0.488604i	−0.0131098	−	0.999914i	$-0.504173\pi$
$853$	24.7168	−	14.2702i	0.846286	−	0.488604i	0.859396	+	0.511310i	$0.170840\pi$
$854$	−2.38945	+	33.5808i	−0.0817654	+	1.14911i
$855$	−48.3825	−	19.2556i	−1.65465	−	0.658528i
$856$	16.0876	+	27.7008i	0.549864	+	0.946794i
$857$		−	18.4465i		−	0.630122i	−0.949071	−	0.315061i	$-0.897975\pi$
$857$		−	18.4465i		−	0.630122i	0.949071	−	0.315061i	$-0.102025\pi$
$858$	−4.09565	−	11.7625i	−0.139823	−	0.401565i
$859$	18.0070			0.614390			0.307195	−	0.951647i	$-0.400610\pi$
$859$	18.0070			0.614390			0.307195	+	0.951647i	$0.400610\pi$
$860$	−27.9105	+	0.0475769i	−0.951739	+	0.00162236i
$861$	−4.06469	+	15.2017i	−0.138524	+	0.518071i
$862$	−0.0149935	−	17.5915i	−0.000510679	−	0.599169i
$863$	−20.3339	−	35.2194i	−0.692175	−	1.19888i	−0.971124	−	0.238576i	$-0.923319\pi$
$863$	−20.3339	−	35.2194i	−0.692175	−	1.19888i	0.278949	−	0.960306i	$-0.410014\pi$
$864$	26.0272	−	13.6596i	0.885464	−	0.464708i
$865$	10.2159	−	17.6944i	0.347350	−	0.601629i
$866$	−35.7785	+	20.6974i	−1.21580	+	0.703327i
$867$	−21.2998	−	18.4186i	−0.723380	−	0.625528i
$868$	4.75740	+	0.334439i	0.161477	+	0.0113516i
$869$	3.51435	−	6.08703i	0.119216	−	0.206488i
$870$	53.6623	+	10.2387i	1.81932	+	0.347124i
$871$			24.7040i			0.837063i
$872$	23.1920	−	40.4080i	0.785380	−	1.36839i
$873$	−45.0585	−	17.9327i	−1.52500	−	0.606930i
$874$	17.8664	+	10.2949i	0.604340	+	0.348229i
$875$	−1.69881	+	23.5907i	−0.0574303	+	0.797510i
$876$	17.0630	+	14.7041i	0.576504	+	0.496805i
$877$		−	12.4884i		−	0.421702i	−0.977518	−	0.210851i	$-0.932376\pi$
$877$		−	12.4884i		−	0.421702i	0.977518	−	0.210851i	$-0.0676236\pi$
$878$	−11.5541	+	0.00984769i	−0.389931	+	0.000332343i
$879$	−2.94443	+	15.3610i	−0.0993133	+	0.518115i
$880$	−13.8908	+	8.08312i	−0.468258	+	0.272482i
$881$			3.68562i			0.124172i	0.998071	+	0.0620859i	$0.0197753\pi$
$881$			3.68562i			0.124172i	−0.998071	+	0.0620859i	$0.980225\pi$
$882$	14.8002	−	25.7479i	0.498349	−	0.866977i
$883$	24.3520			0.819509			0.409755	−	0.912196i	$-0.365614\pi$
$883$	24.3520			0.819509			0.409755	+	0.912196i	$0.365614\pi$
$884$	−5.55647	+	0.00947170i	−0.186884	+	0.000318568i
$885$	23.2367	−	26.8716i	0.781093	−	0.903279i
$886$	−0.00440729		3.75639e-6i	−0.000148066		1.26198e-7i
$887$	6.63882			0.222910			0.111455	−	0.993769i	$-0.464449\pi$
$887$	6.63882			0.222910			0.111455	+	0.993769i	$0.464449\pi$
$888$	27.9066	+	24.0072i	0.936483	+	0.805629i
$889$	34.2795	+	2.46853i	1.14970	+	0.0827919i
$890$	−22.0511	+	38.2689i	−0.739154	+	1.28278i
$891$	13.8063	+	3.29010i	0.462529	+	0.110222i
$892$	−0.0390966	−	22.9356i	−0.00130905	−	0.767941i
$893$	15.6906			0.525065
$894$	−24.4679	+	28.3442i	−0.818327	+	0.947970i
$895$	−29.2872	−	16.9090i	−0.978963	−	0.565205i
$896$	13.2265	+	26.8526i	0.441865	+	0.897081i
$897$	−11.7386	−	2.25008i	−0.391940	−	0.0751279i
$898$	3.46324	+	5.98672i	0.115570	+	0.199779i
$899$	6.83257	+	3.94479i	0.227879	+	0.131566i
$900$	−1.30645	−	8.85176i	−0.0435482	−	0.295059i
$901$	−0.652206	+	0.376551i	−0.0217281	+	0.0125447i
$902$	−0.00652709	−	7.65809i	−0.000217328	−	0.254987i
$903$	−17.7394	+	17.7581i	−0.590330	+	0.590952i
$904$	9.48094	−	16.5189i	0.315331	−	0.549409i
$905$			14.5855i			0.484839i
$906$	11.3370	+	9.78653i	0.376645	+	0.325136i
$907$	−28.3842			−0.942480			−0.471240	−	0.882005i	$-0.656193\pi$
$907$	−28.3842			−0.942480			−0.471240	+	0.882005i	$0.656193\pi$
$908$	−45.1189	−	25.9470i	−1.49732	−	0.861080i
$909$	−39.5339	+	31.2198i	−1.31126	+	1.03550i
$910$	−2.18164	+	30.6603i	−0.0723207	+	1.01638i
$911$	11.7597	+	20.3683i	0.389615	+	0.674833i	0.992398	−	0.123072i	$-0.0392747\pi$
$911$	11.7597	+	20.3683i	0.389615	+	0.674833i	−0.602783	+	0.797906i	$0.705941\pi$
$912$	8.72772	−	46.3871i	0.289004	−	1.53603i
$913$	13.0419	+	22.5893i	0.431625	+	0.747597i
$914$	0.0211844	+	24.8552i	0.000700717	+	0.822136i
$915$	38.9955	+	7.47474i	1.28915	+	0.247107i
$916$	31.9556	+	18.3770i	1.05584	+	0.607194i
$917$	−15.0287	−	1.08224i	−0.496290	−	0.0357388i
$918$	3.40241	−	5.33989i	0.112296	−	0.176243i
$919$	15.7775	−	9.10914i	0.520452	−	0.300483i	−0.216668	−	0.976245i	$-0.569519\pi$
$919$	15.7775	−	9.10914i	0.520452	−	0.300483i	0.737119	+	0.675763i	$0.236186\pi$
$920$	0.0394346	+	15.4225i	0.00130012	+	0.508466i
$921$	−41.1628	+	14.2934i	−1.35636	+	0.470983i
$922$	−0.627545	−	0.361600i	−0.0206671	−	0.0119087i
$923$	13.7685	+	7.94922i	0.453194	+	0.261652i
$924$	−3.70965	+	13.9692i	−0.122038	+	0.459553i
$925$	9.70447	−	5.60288i	0.319081	−	0.184222i
$926$	−10.3037	+	0.00878196i	−0.338600	+	0.000288593i
$927$	−9.46612	−	11.9870i	−0.310908	−	0.393705i
$928$	0.211026	+	49.5181i	0.00692726	+	1.62551i
$929$	−24.6451	−	14.2289i	−0.808580	−	0.466834i	0.0378824	−	0.999282i	$-0.487939\pi$
$929$	−24.6451	−	14.2289i	−0.808580	−	0.466834i	−0.846463	+	0.532448i	$0.821272\pi$
$930$	1.05417	−	5.52506i	0.0345677	−	0.181174i
$931$	−17.6814	−	44.2913i	−0.579485	−	1.45159i
$932$	0.00159576	+	0.936134i	5.22709e−5	+	0.0306641i
$933$	35.7975	+	30.9552i	1.17196	+	1.01343i
$934$	5.74697	−	9.97366i	0.188046	−	0.326348i
$935$	−1.73097	+	2.99813i	−0.0566089	+	0.0980494i
$936$	4.01784	+	27.0630i	0.131327	+	0.884581i
$937$	48.5250			1.58524			0.792622	−	0.609714i	$-0.208716\pi$
$937$	48.5250			1.58524			0.792622	+	0.609714i	$0.208716\pi$
$938$	16.0596	−	23.7467i	0.524365	−	0.775357i
$939$	4.00027	−	20.8693i	0.130544	−	0.681044i
$940$	5.88509	+	10.1533i	0.191950	+	0.331163i
$941$	−25.1260	−	43.5194i	−0.819083	−	1.41869i	−0.906359	−	0.422509i	$-0.861150\pi$
$941$	−25.1260	−	43.5194i	−0.819083	−	1.41869i	0.0872760	−	0.996184i	$-0.472184\pi$
$942$	0.125662	−	0.658611i	0.00409429	−	0.0214587i
$943$	−6.36435	−	3.67446i	−0.207252	−	0.119657i
$944$	27.9416	+	16.0053i	0.909421	+	0.520928i
$945$	−28.0937	−	20.9188i	−0.913887	−	0.680489i
$946$	6.09881	−	10.5843i	0.198289	−	0.344125i
$947$	18.3999	+	10.6232i	0.597915	+	0.345206i	0.768221	−	0.640185i	$-0.221142\pi$
$947$	18.3999	+	10.6232i	0.597915	+	0.345206i	−0.170306	+	0.985391i	$0.554476\pi$
$948$	−10.0790	+	11.6959i	−0.327351	+	0.379866i
$949$	−18.1568	+	10.4828i	−0.589395	+	0.340287i
$950$	−12.4494	−	7.17351i	−0.403911	−	0.232739i
$951$	7.00847	−	36.5630i	0.227265	−	1.18564i
$952$	5.34731	+	3.60305i	0.173307	+	0.116776i
$953$		−	0.965825i		−	0.0312861i	−0.999878	−	0.0156431i	$-0.995020\pi$
$953$		−	0.965825i		−	0.0312861i	0.999878	−	0.0156431i	$-0.00497955\pi$
$954$	2.30065	+	2.90823i	0.0744864	+	0.0941575i
$955$	−30.7054	+	53.1832i	−0.993602	+	1.72097i
$956$	−3.08053	−	5.31469i	−0.0996314	−	0.171889i
$957$	−15.6395	+	18.0860i	−0.505553	+	0.584637i
$958$	−16.0723	+	9.29764i	−0.519274	+	0.300393i
$959$	50.2015	+	3.61511i	1.62109	+	0.116738i
$960$	33.2903	−	11.7508i	1.07444	−	0.379256i
$961$	−15.0938	+	26.1433i	−0.486898	+	0.843332i
$962$	−29.6592	+	17.1574i	−0.956250	+	0.553178i
$963$	12.5638	−	31.5684i	0.404863	−	1.01728i
$964$	−18.2233	+	31.6883i	−0.586934	+	1.02061i
$965$	−32.3070	−	55.9574i	−1.04000	−	1.80133i
$966$	9.82099	+	9.79394i	0.315985	+	0.315115i
$967$	−34.3152	−	19.8119i	−1.10350	−	0.637107i	−0.166363	−	0.986065i	$-0.553202\pi$
$967$	−34.3152	−	19.8119i	−1.10350	−	0.637107i	−0.937139	+	0.348958i	$0.886536\pi$
$968$	0.0615676	+	24.0786i	0.00197886	+	0.773915i
$969$	−3.33523	−	9.60498i	−0.107143	−	0.308556i
$970$	−50.4670	−	29.0798i	−1.62040	−	0.933697i
$971$	7.16889	−	4.13896i	0.230061	−	0.132826i	−0.380539	−	0.924765i	$-0.624262\pi$
$971$	7.16889	−	4.13896i	0.230061	−	0.132826i	0.610600	+	0.791939i	$0.290928\pi$
$972$	−28.4467	−	12.7588i	−0.912427	−	0.409240i
$973$	−27.4632	−	18.6072i	−0.880431	−	0.596520i
$974$	−9.28048	+	0.00790987i	−0.297366	+	0.000253449i
$975$	8.17950	+	1.56786i	0.261954	+	0.0502118i
$976$	0.122699	+	35.9900i	0.00392751	+	1.15201i
$977$	9.28371	−	5.35995i	0.297012	−	0.171480i	−0.344088	−	0.938938i	$-0.611812\pi$
$977$	9.28371	−	5.35995i	0.297012	−	0.171480i	0.641100	+	0.767457i	$0.278478\pi$
$978$	−0.293730	−	0.0560432i	−0.00939244	−	0.00179206i
$979$	−9.66542	−	16.7410i	−0.308908	−	0.535045i
$980$	22.0288	−	28.0539i	0.703684	−	0.896150i
$981$	−48.8993	+	7.13198i	−1.56123	+	0.227706i
$982$	4.95759	−	0.00422541i	0.158203	−	0.000134838i
$983$	−49.0194			−1.56348			−0.781738	−	0.623607i	$-0.785667\pi$
$983$	−49.0194			−1.56348			−0.781738	+	0.623607i	$0.785667\pi$
$984$	−3.12460	+	16.5294i	−0.0996086	+	0.526939i
$985$	−25.6540			−0.817404
$986$	5.34127	+	9.23316i	0.170101	+	0.294044i
$987$	10.1958	+	2.72621i	0.324537	+	0.0867762i
$988$	38.0856	+	21.9023i	1.21167	+	0.696804i
$989$	−5.86125	−	10.1520i	−0.186377	−	0.322814i
$990$	15.8434	+	6.28985i	0.503538	+	0.199904i
$991$	19.9324	+	11.5080i	0.633175	+	0.365564i	0.781981	−	0.623303i	$-0.214210\pi$
$991$	19.9324	+	11.5080i	0.633175	+	0.365564i	−0.148806	+	0.988866i	$0.547543\pi$
$992$	5.09837	−	0.0217272i	0.161874	−	0.000689839i
$993$	−7.19259	+	37.5235i	−0.228250	+	1.19077i
$994$	−8.06727	−	16.5918i	−0.255878	−	0.526260i
$995$	−46.3121	−	26.7383i	−1.46819	−	0.847662i
$996$	−18.8872	−	54.0947i	−0.598465	−	1.71406i
$997$			48.4654i			1.53491i	0.641101	+	0.767457i	$0.278478\pi$
$997$			48.4654i			1.53491i	−0.641101	+	0.767457i	$0.721522\pi$
$998$	−22.1187	+	12.7954i	−0.700156	+	0.405031i
$999$	1.73911	−	39.0063i	0.0550229	−	1.23410i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	504.2.cy.a.347.16	yes	184
7.2	even	3		504.2.bt.a.275.78	yes	184
8.3	odd	2	inner	504.2.cy.a.347.46	yes	184
9.2	odd	6		504.2.bt.a.11.15	✓	184
56.51	odd	6		504.2.bt.a.275.15	yes	184
63.2	odd	6	inner	504.2.cy.a.443.46	yes	184
72.11	even	6		504.2.bt.a.11.78	yes	184
504.443	even	6	inner	504.2.cy.a.443.16	yes	184

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
504.2.bt.a.11.15	✓	184	9.2	odd	6
504.2.bt.a.11.78	yes	184	72.11	even	6
504.2.bt.a.275.15	yes	184	56.51	odd	6
504.2.bt.a.275.78	yes	184	7.2	even	3
504.2.cy.a.347.16	yes	184	1.1	even	1	trivial
504.2.cy.a.347.46	yes	184	8.3	odd	2	inner
504.2.cy.a.443.16	yes	184	504.443	even	6	inner
504.2.cy.a.443.46	yes	184	63.2	odd	6	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 504 = 2^{3} \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	504.cy (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.22414 + 0.708150i) q^{2} +(1.63621 - 0.568159i) q^{3} +(0.997046 - 1.73375i) q^{4} -2.54780 q^{5} +(-1.60062 + 1.85419i) q^{6} +(-0.190034 + 2.63892i) q^{7} +(0.00723210 + 2.82842i) q^{8} +(2.35439 - 1.85926i) q^{9} +O(q^{10})\)	\(q+(-1.22414 + 0.708150i) q^{2} +(1.63621 - 0.568159i) q^{3} +(0.997046 - 1.73375i) q^{4} -2.54780 q^{5} +(-1.60062 + 1.85419i) q^{6} +(-0.190034 + 2.63892i) q^{7} +(0.00723210 + 2.82842i) q^{8} +(2.35439 - 1.85926i) q^{9} +(3.11887 - 1.80422i) q^{10} +1.57699i q^{11} +(0.646333 - 3.40327i) q^{12} +(2.79238 + 1.61218i) q^{13} +(-1.63612 - 3.36498i) q^{14} +(-4.16874 + 1.44755i) q^{15} +(-2.01180 - 3.45726i) q^{16} +(-0.746202 - 0.430820i) q^{17} +(-1.56547 + 3.94326i) q^{18} +(3.40644 + 5.90012i) q^{19} +(-2.54027 + 4.41725i) q^{20} +(1.18839 + 4.42580i) q^{21} +(-1.11675 - 1.93046i) q^{22} -2.14017 q^{23} +(1.61882 + 4.62379i) q^{24} +1.49128 q^{25} +(-4.55993 + 0.00388649i) q^{26} +(2.79593 - 4.37981i) q^{27} +(4.38576 + 2.96059i) q^{28} +(4.37686 + 7.58095i) q^{29} +(4.07805 - 4.72411i) q^{30} +(0.780533 - 0.450641i) q^{31} +(4.91099 + 2.80752i) q^{32} +(0.895982 + 2.58030i) q^{33} +(1.21854 - 0.00103858i) q^{34} +(0.484167 - 6.72343i) q^{35} +(-0.876059 - 5.93570i) q^{36} +(6.50750 - 3.75711i) q^{37} +(-8.34814 - 4.81032i) q^{38} +(5.48490 + 1.05136i) q^{39} +(-0.0184259 - 7.20624i) q^{40} +(2.97377 + 1.71690i) q^{41} +(-4.58889 - 4.57625i) q^{42} +(2.73869 + 4.74355i) q^{43} +(2.73411 + 1.57233i) q^{44} +(-5.99851 + 4.73702i) q^{45} +(2.61987 - 1.51556i) q^{46} +(1.15154 - 1.99452i) q^{47} +(-5.25601 - 4.51380i) q^{48} +(-6.92777 - 1.00297i) q^{49} +(-1.82553 + 1.05605i) q^{50} +(-1.46572 - 0.280952i) q^{51} +(5.57925 - 3.23388i) q^{52} +(0.437017 - 0.756935i) q^{53} +(-0.321052 + 7.34145i) q^{54} -4.01786i q^{55} +(-7.46534 - 0.518410i) q^{56} +(8.92587 + 7.71846i) q^{57} +(-10.7264 - 6.18068i) q^{58} +(-6.97171 + 4.02512i) q^{59} +(-1.64673 + 8.67085i) q^{60} +(-7.79210 - 4.49877i) q^{61} +(-0.636362 + 1.10438i) q^{62} +(4.45902 + 6.56637i) q^{63} +(-7.99990 + 0.0409108i) q^{64} +(-7.11442 - 4.10751i) q^{65} +(-2.92405 - 2.52416i) q^{66} +(3.83084 + 6.63520i) q^{67} +(-1.49093 + 0.864183i) q^{68} +(-3.50177 + 1.21595i) q^{69} +(4.16851 + 8.57329i) q^{70} +4.93073 q^{71} +(5.27579 + 6.64576i) q^{72} +(-3.25114 + 5.63113i) q^{73} +(-5.30551 + 9.20752i) q^{74} +(2.44004 - 0.847281i) q^{75} +(13.6257 - 0.0232268i) q^{76} +(-4.16155 - 0.299681i) q^{77} +(-7.45882 + 2.59713i) q^{78} +(-3.85990 - 2.22851i) q^{79} +(5.12566 + 8.80841i) q^{80} +(2.08631 - 8.75484i) q^{81} +(-4.85614 + 0.00413895i) q^{82} +(14.3243 - 8.27014i) q^{83} +(8.85813 + 2.35236i) q^{84} +(1.90117 + 1.09764i) q^{85} +(-6.71169 - 3.86737i) q^{86} +(11.4687 + 9.91730i) q^{87} +(-4.46039 + 0.0114050i) q^{88} +(-10.6158 + 6.12903i) q^{89} +(3.98851 - 10.0466i) q^{90} +(-4.78506 + 7.06249i) q^{91} +(-2.13384 + 3.71052i) q^{92} +(1.02108 - 1.18081i) q^{93} +(0.00277602 + 3.25704i) q^{94} +(-8.67891 - 15.0323i) q^{95} +(9.63055 + 1.80349i) q^{96} +(-8.08265 - 13.9996i) q^{97} +(9.19083 - 3.67813i) q^{98} +(2.93204 + 3.71286i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 184 q - 3 q^{2} - 2 q^{3} + q^{4} - 2 q^{6} - 2 q^{9}+O(q^{10}) \) 184 * q - 3 * q^2 - 2 * q^3 + q^4 - 2 * q^6 - 2 * q^9	\( 184 q - 3 q^{2} - 2 q^{3} + q^{4} - 2 q^{6} - 2 q^{9} - 6 q^{10} - 5 q^{12} - 3 q^{14} + q^{16} + 5 q^{18} - 4 q^{19} - 6 q^{20} + 2 q^{22} - 8 q^{24} + 148 q^{25} + 6 q^{26} - 8 q^{27} + 24 q^{30} - 33 q^{32} + 22 q^{33} - 4 q^{34} - 30 q^{35} - 38 q^{36} - 12 q^{40} - 12 q^{41} + 7 q^{42} - 4 q^{43} - 9 q^{44} - 6 q^{46} - 5 q^{48} - 2 q^{49} - 21 q^{50} + 26 q^{51} - 18 q^{52} - 40 q^{54} + 18 q^{56} + 4 q^{57} + 6 q^{58} - 6 q^{59} - 2 q^{60} - 8 q^{64} - 6 q^{65} + 43 q^{66} + 2 q^{67} - 18 q^{70} - 11 q^{72} - 4 q^{73} - 36 q^{75} + 2 q^{76} - 29 q^{78} - 87 q^{80} - 10 q^{81} - 4 q^{82} - 72 q^{83} - 65 q^{84} + 14 q^{88} + 24 q^{89} - 49 q^{90} - 36 q^{91} - 36 q^{92} + 9 q^{94} - 88 q^{96} - 4 q^{97} - 57 q^{98} + 10 q^{99}+O(q^{100}) \) 184 * q - 3 * q^2 - 2 * q^3 + q^4 - 2 * q^6 - 2 * q^9 - 6 * q^10 - 5 * q^12 - 3 * q^14 + q^16 + 5 * q^18 - 4 * q^19 - 6 * q^20 + 2 * q^22 - 8 * q^24 + 148 * q^25 + 6 * q^26 - 8 * q^27 + 24 * q^30 - 33 * q^32 + 22 * q^33 - 4 * q^34 - 30 * q^35 - 38 * q^36 - 12 * q^40 - 12 * q^41 + 7 * q^42 - 4 * q^43 - 9 * q^44 - 6 * q^46 - 5 * q^48 - 2 * q^49 - 21 * q^50 + 26 * q^51 - 18 * q^52 - 40 * q^54 + 18 * q^56 + 4 * q^57 + 6 * q^58 - 6 * q^59 - 2 * q^60 - 8 * q^64 - 6 * q^65 + 43 * q^66 + 2 * q^67 - 18 * q^70 - 11 * q^72 - 4 * q^73 - 36 * q^75 + 2 * q^76 - 29 * q^78 - 87 * q^80 - 10 * q^81 - 4 * q^82 - 72 * q^83 - 65 * q^84 + 14 * q^88 + 24 * q^89 - 49 * q^90 - 36 * q^91 - 36 * q^92 + 9 * q^94 - 88 * q^96 - 4 * q^97 - 57 * q^98 + 10 * q^99

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