LMFDB - Embedded newform 144.3.w.a.29.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [144,3,Mod(5,144)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(144, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([0, 3, 10]))

N = Newforms(chi, 3, names="a")

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

chi := DirichletCharacter("144.5");

S:= CuspForms(chi, 3);

N := Newforms(S);

Level:	$ N $	$=$	$ 144 = 2^{4} \cdot 3^{2} $
Weight:	$ k $	$=$	$ 3 $
Character orbit:	$[\chi]$	$=$	144.w (of order $12$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$3.92371580679$
Analytic rank:	$0$
Dimension:	$184$
Relative dimension:	$46$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			29.6
Character	$\chi$	$=$	144.29
Dual form			144.3.w.a.5.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.84760 + 0.765753i) q^{2} +(-0.120474 - 2.99758i) q^{3} +(2.82724 - 2.82961i) q^{4} +(2.37709 - 8.87143i) q^{5} +(2.51799 + 5.44607i) q^{6} +(0.152137 + 0.0878365i) q^{7} +(-3.05683 + 7.39295i) q^{8} +(-8.97097 + 0.722263i) q^{9} +O(q^{10})$	\(q+(-1.84760 + 0.765753i) q^{2} +(-0.120474 - 2.99758i) q^{3} +(2.82724 - 2.82961i) q^{4} +(2.37709 - 8.87143i) q^{5} +(2.51799 + 5.44607i) q^{6} +(0.152137 + 0.0878365i) q^{7} +(-3.05683 + 7.39295i) q^{8} +(-8.97097 + 0.722263i) q^{9} +(2.40141 + 18.2111i) q^{10} +(-4.63677 + 1.24242i) q^{11} +(-8.82259 - 8.13400i) q^{12} +(-1.64807 + 6.15069i) q^{13} +(-0.348350 - 0.0457871i) q^{14} +(-26.8792 - 6.05674i) q^{15} +(-0.0133749 - 16.0000i) q^{16} -15.8968i q^{17} +(16.0217 - 8.20400i) q^{18} +(20.9764 + 20.9764i) q^{19} +(-18.3820 - 31.8079i) q^{20} +(0.244968 - 0.466626i) q^{21} +(7.61551 - 5.84611i) q^{22} +(-11.4512 - 19.8341i) q^{23} +(22.5292 + 8.27244i) q^{24} +(-51.4010 - 29.6764i) q^{25} +(-1.66493 - 12.6260i) q^{26} +(3.24581 + 26.8042i) q^{27} +(0.678673 - 0.182154i) q^{28} +(-6.20718 - 23.1655i) q^{29} +(54.2999 - 9.39239i) q^{30} +(12.6661 + 21.9383i) q^{31} +(12.2768 + 29.5513i) q^{32} +(4.28286 + 13.7494i) q^{33} +(12.1730 + 29.3708i) q^{34} +(1.14088 - 1.14088i) q^{35} +(-23.3194 + 27.4264i) q^{36} +(5.74306 - 5.74306i) q^{37} +(-54.8187 - 22.6932i) q^{38} +(18.6357 + 4.19923i) q^{39} +(58.3197 + 44.6922i) q^{40} +(-8.55194 - 14.8124i) q^{41} +(-0.0952832 + 1.04972i) q^{42} +(-11.6752 - 43.5723i) q^{43} +(-9.59372 + 16.6329i) q^{44} +(-14.9173 + 81.3022i) q^{45} +(36.3453 + 27.8767i) q^{46} +(44.9311 + 25.9410i) q^{47} +(-47.9597 + 1.96768i) q^{48} +(-24.4846 - 42.4085i) q^{49} +(117.693 + 15.4696i) q^{50} +(-47.6518 + 1.91515i) q^{51} +(12.7446 + 22.0529i) q^{52} +(30.5548 + 30.5548i) q^{53} +(-26.5224 - 47.0379i) q^{54} +44.0881i q^{55} +(-1.11443 + 0.856243i) q^{56} +(60.3513 - 65.4055i) q^{57} +(29.2074 + 38.0474i) q^{58} +(-21.7187 + 81.0555i) q^{59} +(-93.1323 + 58.9337i) q^{60} +(114.236 - 30.6095i) q^{61} +(-40.2012 - 30.8341i) q^{62} +(-1.42826 - 0.678096i) q^{63} +(-45.3115 - 45.1981i) q^{64} +(50.6478 + 29.2415i) q^{65} +(-18.4417 - 22.1238i) q^{66} +(15.7420 - 58.7498i) q^{67} +(-44.9816 - 44.9440i) q^{68} +(-58.0747 + 36.7155i) q^{69} +(-1.23426 + 2.98152i) q^{70} +23.5916 q^{71} +(22.0831 - 68.5298i) q^{72} -117.626i q^{73} +(-6.21310 + 15.0086i) q^{74} +(-82.7648 + 157.654i) q^{75} +(118.660 - 0.0495959i) q^{76} +(-0.814556 - 0.218260i) q^{77} +(-37.6470 + 6.51188i) q^{78} +(-39.7980 + 68.9322i) q^{79} +(-141.975 - 37.9148i) q^{80} +(79.9567 - 12.9588i) q^{81} +(27.1432 + 20.8187i) q^{82} +(-32.1186 - 119.868i) q^{83} +(-0.627783 - 2.01243i) q^{84} +(-141.027 - 37.7880i) q^{85} +(54.9367 + 71.5639i) q^{86} +(-68.6926 + 21.3974i) q^{87} +(4.98869 - 38.0773i) q^{88} +63.8239 q^{89} +(-34.6962 - 161.637i) q^{90} +(-0.790989 + 0.790989i) q^{91} +(-88.4982 - 23.6734i) q^{92} +(64.2359 - 40.6106i) q^{93} +(-102.879 - 13.5224i) q^{94} +(235.953 - 136.228i) q^{95} +(87.1035 - 40.3607i) q^{96} +(6.55800 - 11.3588i) q^{97} +(77.7121 + 59.6048i) q^{98} +(40.6990 - 14.4947i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 184 q - 6 q^{2} - 4 q^{3} - 2 q^{4} - 6 q^{5} - 10 q^{6}+O(q^{10}) $ 184 * q - 6 * q^2 - 4 * q^3 - 2 * q^4 - 6 * q^5 - 10 * q^6	$ 184 q - 6 q^{2} - 4 q^{3} - 2 q^{4} - 6 q^{5} - 10 q^{6} - 8 q^{10} - 6 q^{11} - 64 q^{12} - 2 q^{13} - 6 q^{14} - 8 q^{15} - 2 q^{16} + 54 q^{18} - 8 q^{19} + 120 q^{20} - 22 q^{21} - 2 q^{22} - 160 q^{24} + 44 q^{27} - 72 q^{28} - 6 q^{29} - 90 q^{30} - 4 q^{31} - 6 q^{32} - 8 q^{33} + 6 q^{34} - 202 q^{36} - 8 q^{37} - 6 q^{38} - 2 q^{40} + 44 q^{42} - 2 q^{43} + 46 q^{45} - 160 q^{46} - 12 q^{47} - 118 q^{48} + 472 q^{49} + 228 q^{50} - 48 q^{51} - 2 q^{52} + 206 q^{54} - 300 q^{56} - 92 q^{58} - 438 q^{59} - 90 q^{60} - 2 q^{61} - 204 q^{63} + 244 q^{64} - 12 q^{65} - 508 q^{66} - 2 q^{67} - 144 q^{68} + 14 q^{69} + 96 q^{70} + 6 q^{72} + 246 q^{74} + 152 q^{75} - 158 q^{76} - 6 q^{77} + 304 q^{78} - 4 q^{79} - 8 q^{81} - 388 q^{82} - 726 q^{83} + 542 q^{84} + 48 q^{85} + 894 q^{86} + 22 q^{88} - 528 q^{90} - 204 q^{91} - 348 q^{92} + 62 q^{93} - 18 q^{94} - 12 q^{95} + 262 q^{96} - 4 q^{97} + 286 q^{99}+O(q^{100}) $ 184 * q - 6 * q^2 - 4 * q^3 - 2 * q^4 - 6 * q^5 - 10 * q^6 - 8 * q^10 - 6 * q^11 - 64 * q^12 - 2 * q^13 - 6 * q^14 - 8 * q^15 - 2 * q^16 + 54 * q^18 - 8 * q^19 + 120 * q^20 - 22 * q^21 - 2 * q^22 - 160 * q^24 + 44 * q^27 - 72 * q^28 - 6 * q^29 - 90 * q^30 - 4 * q^31 - 6 * q^32 - 8 * q^33 + 6 * q^34 - 202 * q^36 - 8 * q^37 - 6 * q^38 - 2 * q^40 + 44 * q^42 - 2 * q^43 + 46 * q^45 - 160 * q^46 - 12 * q^47 - 118 * q^48 + 472 * q^49 + 228 * q^50 - 48 * q^51 - 2 * q^52 + 206 * q^54 - 300 * q^56 - 92 * q^58 - 438 * q^59 - 90 * q^60 - 2 * q^61 - 204 * q^63 + 244 * q^64 - 12 * q^65 - 508 * q^66 - 2 * q^67 - 144 * q^68 + 14 * q^69 + 96 * q^70 + 6 * q^72 + 246 * q^74 + 152 * q^75 - 158 * q^76 - 6 * q^77 + 304 * q^78 - 4 * q^79 - 8 * q^81 - 388 * q^82 - 726 * q^83 + 542 * q^84 + 48 * q^85 + 894 * q^86 + 22 * q^88 - 528 * q^90 - 204 * q^91 - 348 * q^92 + 62 * q^93 - 18 * q^94 - 12 * q^95 + 262 * q^96 - 4 * q^97 + 286 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/144\mathbb{Z}\right)^\times$.

$n$	$37$	$65$	$127$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{1}{6}\right)$	$1$

Coefficient data

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

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

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

$2$	−1.84760	+	0.765753i	−0.923800	+	0.382876i
$2$	−1.84760	+	0.765753i	−0.923800	+	0.382876i
$3$	−0.120474	−	2.99758i	−0.0401581	−	0.999193i
$3$	−0.120474	−	2.99758i	−0.0401581	−	0.999193i
$4$	2.82724	−	2.82961i	0.706811	−	0.707402i
$5$	2.37709	−	8.87143i	0.475418	−	1.77429i	−0.144378	−	0.989523i	$-0.546118\pi$
$5$	2.37709	−	8.87143i	0.475418	−	1.77429i	0.619796	−	0.784763i	$-0.287215\pi$
$6$	2.51799	+	5.44607i	0.419666	+	0.907679i
$7$	0.152137	+	0.0878365i	0.0217339	+	0.0125481i	0.510828	−	0.859683i	$-0.329339\pi$
$7$	0.152137	+	0.0878365i	0.0217339	+	0.0125481i	−0.489094	+	0.872231i	$0.662672\pi$
$8$	−3.05683	+	7.39295i	−0.382104	+	0.924119i
$9$	−8.97097	+	0.722263i	−0.996775	+	0.0802515i
$10$	2.40141	+	18.2111i	0.240141	+	1.82111i
$11$	−4.63677	+	1.24242i	−0.421525	+	0.112947i	−0.463345	−	0.886178i	$-0.653351\pi$
$11$	−4.63677	+	1.24242i	−0.421525	+	0.112947i	0.0418205	+	0.999125i	$0.486684\pi$
$12$	−8.82259	−	8.13400i	−0.735216	−	0.677833i
$13$	−1.64807	+	6.15069i	−0.126775	+	0.473130i	−0.999897	−	0.0143717i	$-0.995425\pi$
$13$	−1.64807	+	6.15069i	−0.126775	+	0.473130i	0.873122	+	0.487502i	$0.162092\pi$
$14$	−0.348350	−	0.0457871i	−0.0248821	−	0.00327051i
$15$	−26.8792	−	6.05674i	−1.79195	−	0.403783i
$16$	−0.0133749	−	16.0000i	−0.000835931	−	1.00000i
$17$		−	15.8968i		−	0.935103i	−0.883966	−	0.467552i	$-0.845136\pi$
$17$		−	15.8968i		−	0.935103i	0.883966	−	0.467552i	$-0.154864\pi$
$18$	16.0217	−	8.20400i	0.890094	−	0.455778i
$19$	20.9764	+	20.9764i	1.10402	+	1.10402i	0.993921	+	0.110099i	$0.0351169\pi$
$19$	20.9764	+	20.9764i	1.10402	+	1.10402i	0.110099	+	0.993921i	$0.464883\pi$
$20$	−18.3820	−	31.8079i	−0.919102	−	1.59040i
$21$	0.244968	−	0.466626i	0.0116652	−	0.0222203i
$22$	7.61551	−	5.84611i	0.346159	−	0.265732i
$23$	−11.4512	−	19.8341i	−0.497879	−	0.862352i	0.502118	−	0.864799i	$-0.332554\pi$
$23$	−11.4512	−	19.8341i	−0.497879	−	0.862352i	−0.999997	+	0.00244693i	$0.999221\pi$
$24$	22.5292	+	8.27244i	0.938718	+	0.344685i
$25$	−51.4010	−	29.6764i	−2.05604	−	1.18706i
$26$	−1.66493	−	12.6260i	−0.0640359	−	0.485617i
$27$	3.24581	+	26.8042i	0.120215	+	0.992748i
$28$	0.678673	−	0.182154i	0.0242383	−	0.00650549i
$29$	−6.20718	−	23.1655i	−0.214041	−	0.798810i	−0.986502	−	0.163749i	$-0.947641\pi$
$29$	−6.20718	−	23.1655i	−0.214041	−	0.798810i	0.772462	−	0.635062i	$-0.219025\pi$
$30$	54.2999	−	9.39239i	1.81000	−	0.313080i
$31$	12.6661	+	21.9383i	0.408584	+	0.707688i	0.994731	−	0.102516i	$-0.0326894\pi$
$31$	12.6661	+	21.9383i	0.408584	+	0.707688i	−0.586148	+	0.810204i	$0.699356\pi$
$32$	12.2768	+	29.5513i	0.383649	+	0.923479i
$33$	4.28286	+	13.7494i	0.129784	+	0.416649i
$34$	12.1730	+	29.3708i	0.358029	+	0.863848i
$35$	1.14088	−	1.14088i	0.0325966	−	0.0325966i
$36$	−23.3194	+	27.4264i	−0.647761	+	0.761843i
$37$	5.74306	−	5.74306i	0.155218	−	0.155218i	−0.625226	−	0.780444i	$-0.714993\pi$
$37$	5.74306	−	5.74306i	0.155218	−	0.155218i	0.780444	+	0.625226i	$0.214993\pi$
$38$	−54.8187	−	22.6932i	−1.44260	−	0.597190i
$39$	18.6357	+	4.19923i	0.477840	+	0.107673i
$40$	58.3197	+	44.6922i	1.45799	+	1.11730i
$41$	−8.55194	−	14.8124i	−0.208584	−	0.361278i	0.742685	−	0.669641i	$-0.233552\pi$
$41$	−8.55194	−	14.8124i	−0.208584	−	0.361278i	−0.951269	+	0.308363i	$0.900219\pi$
$42$	−0.0952832	+	1.04972i	−0.00226865	+	0.0249934i
$43$	−11.6752	−	43.5723i	−0.271515	−	1.01331i	−0.958141	−	0.286298i	$-0.907575\pi$
$43$	−11.6752	−	43.5723i	−0.271515	−	1.01331i	0.686625	−	0.727012i	$-0.259091\pi$
$44$	−9.59372	+	16.6329i	−0.218039	+	0.378020i
$45$	−14.9173	+	81.3022i	−0.331496	+	1.80672i
$46$	36.3453	+	27.8767i	0.790115	+	0.606014i
$47$	44.9311	+	25.9410i	0.955981	+	0.551936i	0.894934	−	0.446199i	$-0.147223\pi$
$47$	44.9311	+	25.9410i	0.955981	+	0.551936i	0.0610472	+	0.998135i	$0.480556\pi$
$48$	−47.9597	+	1.96768i	−0.999159	+	0.0409934i
$49$	−24.4846	−	42.4085i	−0.499685	−	0.865480i
$50$	117.693	+	15.4696i	2.35386	+	0.309392i
$51$	−47.6518	+	1.91515i	−0.934349	+	0.0375520i
$52$	12.7446	+	22.0529i	0.245088	+	0.424095i
$53$	30.5548	+	30.5548i	0.576506	+	0.576506i	0.933939	−	0.357433i	$-0.116348\pi$
$53$	30.5548	+	30.5548i	0.576506	+	0.576506i	−0.357433	+	0.933939i	$0.616348\pi$
$54$	−26.5224	−	47.0379i	−0.491155	−	0.871072i
$55$			44.0881i			0.801602i
$56$	−1.11443	+	0.856243i	−0.0199005	+	0.0152900i
$57$	60.3513	−	65.4055i	1.05879	−	1.14746i
$58$	29.2074	+	38.0474i	0.503576	+	0.655989i
$59$	−21.7187	+	81.0555i	−0.368114	+	1.37382i	0.495035	+	0.868873i	$0.335155\pi$
$59$	−21.7187	+	81.0555i	−0.368114	+	1.37382i	−0.863149	+	0.504948i	$0.831511\pi$
$60$	−93.1323	+	58.9337i	−1.55220	+	0.982228i
$61$	114.236	−	30.6095i	1.87273	−	0.501796i	0.872822	−	0.488038i	$-0.162287\pi$
$61$	114.236	−	30.6095i	1.87273	−	0.501796i	0.999905	−	0.0137580i	$-0.00437944\pi$
$62$	−40.2012	−	30.8341i	−0.648407	−	0.497325i
$63$	−1.42826	−	0.678096i	−0.0226708	−	0.0107634i
$64$	−45.3115	−	45.1981i	−0.707993	−	0.706220i
$65$	50.6478	+	29.2415i	0.779197	+	0.449870i
$66$	−18.4417	−	22.1238i	−0.279419	−	0.335209i
$67$	15.7420	−	58.7498i	0.234955	−	0.876863i	−0.743214	−	0.669053i	$-0.766700\pi$
$67$	15.7420	−	58.7498i	0.234955	−	0.876863i	0.978169	−	0.207810i	$-0.0666336\pi$
$68$	−44.9816	−	44.9440i	−0.661494	−	0.660941i
$69$	−58.0747	+	36.7155i	−0.841663	+	0.532108i
$70$	−1.23426	+	2.98152i	−0.0176322	+	0.0425931i
$71$	23.5916			0.332276			0.166138	−	0.986103i	$-0.446870\pi$
$71$	23.5916			0.332276			0.166138	+	0.986103i	$0.446870\pi$
$72$	22.0831	−	68.5298i	0.306710	−	0.951803i
$73$		−	117.626i		−	1.61132i	−0.592378	−	0.805660i	$-0.701811\pi$
$73$		−	117.626i		−	1.61132i	0.592378	−	0.805660i	$-0.298189\pi$
$74$	−6.21310	+	15.0086i	−0.0839609	+	0.202819i
$75$	−82.7648	+	157.654i	−1.10353	+	2.10205i
$76$	118.660	−	0.0495959i	1.56132	−	0.000652578i
$77$	−0.814556	−	0.218260i	−0.0105786	−	0.00283454i
$78$	−37.6470	+	6.51188i	−0.482653	+	0.0834857i
$79$	−39.7980	+	68.9322i	−0.503772	+	0.872559i	0.496218	+	0.868198i	$0.334722\pi$
$79$	−39.7980	+	68.9322i	−0.503772	+	0.872559i	−0.999990	+	0.00436115i	$0.998612\pi$
$80$	−141.975	−	37.9148i	−1.77468	−	0.473935i
$81$	79.9567	−	12.9588i	0.987119	−	0.159985i
$82$	27.1432	+	20.8187i	0.331014	+	0.253886i
$83$	−32.1186	−	119.868i	−0.386971	−	1.44420i	−0.835036	−	0.550195i	$-0.814553\pi$
$83$	−32.1186	−	119.868i	−0.386971	−	1.44420i	0.448065	−	0.894001i	$-0.352113\pi$
$84$	−0.627783	−	2.01243i	−0.00747361	−	0.0239575i
$85$	−141.027	−	37.7880i	−1.65914	−	0.444565i
$86$	54.9367	+	71.5639i	0.638798	+	0.832138i
$87$	−68.6926	+	21.3974i	−0.789570	+	0.245947i
$88$	4.98869	−	38.0773i	0.0566896	−	0.432697i
$89$	63.8239			0.717122			0.358561	−	0.933506i	$-0.383267\pi$
$89$	63.8239			0.717122			0.358561	+	0.933506i	$0.383267\pi$
$90$	−34.6962	−	161.637i	−0.385513	−	1.79597i
$91$	−0.790989	+	0.790989i	−0.00869219	+	0.00869219i
$92$	−88.4982	−	23.6734i	−0.961937	−	0.257319i
$93$	64.2359	−	40.6106i	0.690709	−	0.436674i
$94$	−102.879	−	13.5224i	−1.09446	−	0.143855i
$95$	235.953	−	136.228i	2.48372	−	1.43398i
$96$	87.1035	−	40.3607i	0.907328	−	0.420424i
$97$	6.55800	−	11.3588i	0.0676082	−	0.117101i	−0.830240	−	0.557406i	$-0.811797\pi$
$97$	6.55800	−	11.3588i	0.0676082	−	0.117101i	0.897848	+	0.440306i	$0.145130\pi$
$98$	77.7121	+	59.6048i	0.792981	+	0.608212i
$99$	40.6990	−	14.4947i	0.411101	−	0.146411i
$100$	−229.296	+	61.5424i	−2.29296	+	0.615424i
$101$	65.8389	−	17.6415i	0.651870	−	0.174668i	0.0822960	−	0.996608i	$-0.473775\pi$
$101$	65.8389	−	17.6415i	0.651870	−	0.174668i	0.569574	+	0.821940i	$0.307108\pi$
$102$	86.5749	−	40.0279i	0.848773	−	0.392431i
$103$	33.4114	−	19.2901i	0.324383	−	0.187282i	−0.328962	−	0.944343i	$-0.606699\pi$
$103$	33.4114	−	19.2901i	0.324383	−	0.187282i	0.653344	+	0.757061i	$0.273365\pi$
$104$	−40.4339	−	30.9858i	−0.388788	−	0.297940i
$105$	−3.55732	−	3.28243i	−0.0338793	−	0.0312613i
$106$	−79.8505	−	33.0556i	−0.753306	−	0.311845i
$107$	−16.2307	−	16.2307i	−0.151688	−	0.151688i	0.627183	−	0.778872i	$-0.284208\pi$
$107$	−16.2307	−	16.2307i	−0.151688	−	0.151688i	−0.778872	+	0.627183i	$0.784208\pi$
$108$	85.0221	+	66.5976i	0.787242	+	0.616645i
$109$	107.518	+	107.518i	0.986404	+	0.986404i	0.999909	−	0.0135051i	$-0.00429895\pi$
$109$	107.518	+	107.518i	0.986404	+	0.986404i	−0.0135051	+	0.999909i	$0.504299\pi$
$110$	−33.7606	−	81.4571i	−0.306915	−	0.740519i
$111$	−17.9072	−	16.5234i	−0.161326	−	0.148859i
$112$	1.40335	−	2.43537i	0.0125299	−	0.0217444i
$113$	−116.194	+	67.0844i	−1.02826	+	0.593668i	−0.916486	−	0.400066i	$-0.868987\pi$
$113$	−116.194	+	67.0844i	−1.02826	+	0.593668i	−0.111776	+	0.993733i	$0.535654\pi$
$114$	−61.4205	+	167.057i	−0.538776	+	1.46541i
$115$	−203.177	+	54.4412i	−1.76676	+	0.473402i
$116$	−83.0985	−	47.9306i	−0.716366	−	0.413195i
$117$	10.3424	−	56.3681i	0.0883966	−	0.481778i
$118$	−21.9409	−	166.389i	−0.185940	−	1.41008i
$119$	1.39632	−	2.41849i	0.0117337	−	0.0203234i
$120$	126.942	−	180.202i	1.05785	−	1.50168i
$121$	−84.8330	+	48.9784i	−0.701100	+	0.404780i
$122$	−187.624	+	144.031i	−1.53790	+	1.18058i
$123$	−43.3710	+	27.4196i	−0.352610	+	0.222924i
$124$	97.8870	+	26.1849i	0.789412	+	0.211169i
$125$	−223.098	+	223.098i	−1.78479	+	1.78479i
$126$	3.15811	+	0.159154i	0.0250643	+	0.00126313i
$127$	112.014			0.881998			0.440999	−	0.897508i	$-0.354624\pi$
$127$	112.014			0.881998			0.440999	+	0.897508i	$0.354624\pi$
$128$	118.328	+	48.8104i	0.924438	+	0.381331i
$129$	−129.205	+	40.2466i	−1.00159	+	0.311989i
$130$	−115.969	−	15.2429i	−0.892066	−	0.117253i
$131$	184.358	+	49.3987i	1.40732	+	0.377089i	0.880966	−	0.473179i	$-0.156894\pi$
$131$	184.358	+	49.3987i	1.40732	+	0.377089i	0.526350	+	0.850268i	$0.323560\pi$
$132$	51.0141	+	26.7541i	0.386471	+	0.202683i
$133$	1.34880	+	5.03378i	0.0101413	+	0.0378480i
$134$	15.9030	+	120.601i	0.118679	+	0.900005i
$135$	245.507	+	34.9210i	1.81857	+	0.258674i
$136$	117.524	+	48.5937i	0.864147	+	0.357307i
$137$	19.3954	−	33.5938i	0.141572	−	0.245210i	−0.786517	−	0.617569i	$-0.788118\pi$
$137$	19.3954	−	33.5938i	0.141572	−	0.245210i	0.928089	+	0.372359i	$0.121451\pi$
$138$	79.1839	−	112.306i	0.573796	−	0.813814i
$139$	53.7676	+	14.4070i	0.386817	+	0.103647i	0.446986	−	0.894541i	$-0.352497\pi$
$139$	53.7676	+	14.4070i	0.386817	+	0.103647i	−0.0601690	+	0.998188i	$0.519164\pi$
$140$	−0.00269746	−	6.45379i	−1.92676e−5	−	0.0460985i
$141$	72.3471	−	137.810i	0.513100	−	0.977374i
$142$	−43.5878	+	18.0653i	−0.306956	+	0.127221i
$143$		−	30.5670i		−	0.213755i
$144$	11.6762	+	143.526i	0.0810847	+	0.996707i
$145$	−220.266			−1.51908
$146$	90.0727	+	217.326i	0.616936	+	1.48854i
$147$	−124.173	+	78.5036i	−0.844715	+	0.534038i
$148$	−0.0135787	−	32.4876i	−9.17480e−5	−	0.219511i
$149$	−53.1960	+	198.530i	−0.357020	+	1.33242i	0.520903	+	0.853616i	$0.325595\pi$
$149$	−53.1960	+	198.530i	−0.357020	+	1.33242i	−0.877923	+	0.478801i	$0.841072\pi$
$150$	32.1923	−	354.659i	0.214615	−	2.36439i
$151$	−5.71679	−	3.30059i	−0.0378595	−	0.0218582i	0.480951	−	0.876748i	$-0.340292\pi$
$151$	−5.71679	−	3.30059i	−0.0378595	−	0.0218582i	−0.518810	+	0.854889i	$0.673625\pi$
$152$	−219.199	+	90.9561i	−1.44210	+	0.598396i
$153$	11.4816	+	142.609i	0.0750434	+	0.932087i
$154$	1.67210	−	0.220492i	0.0108578	−	0.00143177i
$155$	224.733	−	60.2169i	1.44989	−	0.388496i
$156$	64.5700	−	40.8596i	0.413910	−	0.261921i
$157$	34.0372	−	127.028i	0.216797	−	0.809099i	−0.768729	−	0.639575i	$-0.779110\pi$
$157$	34.0372	−	127.028i	0.216797	−	0.809099i	0.985526	−	0.169524i	$-0.0542229\pi$
$158$	20.7457	−	157.834i	0.131302	−	0.998952i
$159$	87.9094	−	95.2715i	0.552889	−	0.599192i
$160$	291.345	−	38.6661i	1.82091	−	0.241663i
$161$		−	4.02334i		−	0.0249897i
$162$	−137.805	+	85.1697i	−0.850646	+	0.525739i
$163$	−0.0853767	−	0.0853767i	−0.000523784	−	0.000523784i	0.706845	−	0.707369i	$-0.250118\pi$
$163$	−0.0853767	−	0.0853767i	−0.000523784	−	0.000523784i	−0.707369	+	0.706845i	$0.750118\pi$
$164$	−66.0917	−	17.6796i	−0.402998	−	0.107803i
$165$	132.158	−	5.31149i	0.800955	−	0.0321908i
$166$	151.132	+	196.874i	0.910433	+	1.18599i
$167$	−88.3205	−	152.976i	−0.528865	−	0.916021i	−0.999433	−	0.0336575i	$-0.989284\pi$
$167$	−88.3205	−	152.976i	−0.528865	−	0.916021i	0.470568	−	0.882363i	$-0.344049\pi$
$168$	2.70092	+	3.23744i	0.0160769	+	0.0192705i
$169$	111.243	+	64.2264i	0.658245	+	0.380038i
$170$	289.497	−	38.1746i	1.70293	−	0.224557i
$171$	−203.329	−	173.028i	−1.18906	−	1.01186i
$172$	−156.301	−	90.1534i	−0.908728	−	0.524148i
$173$	7.95033	+	29.6711i	0.0459557	+	0.171509i	0.985090	−	0.172043i	$-0.0550367\pi$
$173$	7.95033	+	29.6711i	0.0459557	+	0.171509i	−0.939134	+	0.343552i	$0.888370\pi$
$174$	110.531	−	92.1353i	0.635238	−	0.529513i
$175$	−5.21334	−	9.02977i	−0.0297905	−	0.0515987i
$176$	19.9407	+	74.1717i	0.113299	+	0.421430i
$177$	245.587	+	55.3386i	1.38750	+	0.312647i
$178$	−117.921	+	48.8733i	−0.662477	+	0.274569i
$179$	−127.258	+	127.258i	−0.710936	+	0.710936i	−0.966731	−	0.255795i	$-0.917663\pi$
$179$	−127.258	+	127.258i	−0.710936	+	0.710936i	0.255795	+	0.966731i	$0.417663\pi$
$180$	187.879	+	272.071i	1.04377	+	1.51151i
$181$	56.1430	−	56.1430i	0.310182	−	0.310182i	−0.534798	−	0.844980i	$-0.679612\pi$
$181$	56.1430	−	56.1430i	0.310182	−	0.310182i	0.844980	+	0.534798i	$0.179612\pi$
$182$	0.855729	−	2.06713i	0.00470181	−	0.0113579i
$183$	−105.517	−	338.745i	−0.576596	−	1.85107i
$184$	181.637	−	24.0288i	0.987158	−	0.130592i
$185$	−37.2973	−	64.6009i	−0.201607	−	0.349194i
$186$	−87.5845	+	124.221i	−0.470885	+	0.667855i
$187$	19.7504	+	73.7096i	0.105617	+	0.394169i
$188$	200.434	−	53.7959i	1.06614	−	0.286149i
$189$	−1.86058	+	4.36302i	−0.00984433	+	0.0230848i
$190$	−331.630	+	432.376i	−1.74542	+	2.27566i
$191$	−275.862	−	159.269i	−1.44430	−	0.833868i	−0.446169	−	0.894949i	$-0.647212\pi$
$191$	−275.862	−	159.269i	−1.44430	−	0.833868i	−0.998133	+	0.0610811i	$0.980545\pi$
$192$	−130.026	+	141.270i	−0.677218	+	0.735782i
$193$	−120.351	−	208.454i	−0.623580	−	1.08007i	−0.988814	−	0.149156i	$-0.952344\pi$
$193$	−120.351	−	208.454i	−0.623580	−	1.08007i	0.365234	−	0.930916i	$-0.380989\pi$
$194$	−3.41853	+	26.0083i	−0.0176213	+	0.134063i
$195$	81.5521	−	155.344i	0.418216	−	0.796634i
$196$	−189.223	−	50.6175i	−0.965425	−	0.258253i
$197$	117.662	+	117.662i	0.597267	+	0.597267i	0.939585	−	0.342317i	$-0.111212\pi$
$197$	117.662	+	117.662i	0.597267	+	0.597267i	−0.342317	+	0.939585i	$0.611212\pi$
$198$	−64.0961	+	57.9457i	−0.323717	+	0.292655i
$199$			38.2379i			0.192150i	0.995374	+	0.0960752i	$0.0306289\pi$
$199$			38.2379i			0.192150i	−0.995374	+	0.0960752i	$0.969371\pi$
$200$	376.520	−	289.290i	1.88260	−	1.44645i
$201$	−178.004	−	40.1100i	−0.885591	−	0.199552i
$202$	−108.135	+	83.0107i	−0.535321	+	0.410944i
$203$	1.09043	−	4.06955i	0.00537159	−	0.0200471i
$204$	−129.304	+	140.251i	−0.633844	+	0.687503i
$205$	−151.736	+	40.6575i	−0.740175	+	0.198329i
$206$	−46.9594	+	61.2252i	−0.227958	+	0.297210i
$207$	117.054	+	169.660i	0.565479	+	0.819615i
$208$	98.4331	+	26.2869i	0.473236	+	0.126379i
$209$	−123.324	−	71.2012i	−0.590067	−	0.340676i
$210$	9.08604	+	3.34058i	0.0432669	+	0.0159075i
$211$	−24.0736	+	89.8438i	−0.114093	+	0.425800i	−0.999217	−	0.0395540i	$-0.987406\pi$
$211$	−24.0736	+	89.8438i	−0.114093	+	0.425800i	0.885125	+	0.465354i	$0.154073\pi$
$212$	172.844	−	0.0722428i	0.815302	−	0.000340768i
$213$	−2.84218	−	70.7177i	−0.0133436	−	0.332008i
$214$	42.4164	+	17.5591i	0.198208	+	0.0820517i
$215$	−414.302			−1.92698
$216$	−208.084	−	57.9398i	−0.963352	−	0.268240i
$217$			4.45018i			0.0205078i
$218$	−280.982	−	116.318i	−1.28891	−	0.533568i
$219$	−352.594	+	14.1710i	−1.61002	+	0.0647076i
$220$	124.752	+	124.648i	0.567055	+	0.566581i
$221$	97.7761	+	26.1990i	0.442426	+	0.118548i
$222$	45.7381	+	16.8161i	0.206027	+	0.0757483i
$223$	−24.4650	+	42.3747i	−0.109709	+	0.190021i	−0.915652	−	0.401971i	$-0.868325\pi$
$223$	−24.4650	+	42.3747i	−0.109709	+	0.190021i	0.805944	+	0.591992i	$0.201658\pi$
$224$	−0.727934	+	5.57421i	−0.00324970	+	0.0248849i
$225$	482.551	+	229.101i	2.14467	+	1.01823i
$226$	163.309	−	212.921i	0.722607	−	0.942127i
$227$	−7.19676	−	26.8587i	−0.0317038	−	0.118320i	0.948261	−	0.317493i	$-0.102841\pi$
$227$	−7.19676	−	26.8587i	−0.0317038	−	0.118320i	−0.979964	+	0.199173i	$0.936174\pi$
$228$	−14.4442	−	355.688i	−0.0633517	−	1.56003i
$229$	−173.916	−	46.6006i	−0.759458	−	0.203496i	−0.141749	−	0.989903i	$-0.545272\pi$
$229$	−173.916	−	46.6006i	−0.759458	−	0.203496i	−0.617709	+	0.786407i	$0.711939\pi$
$230$	333.702	−	256.169i	1.45088	−	1.11378i
$231$	−0.556117	+	2.46799i	−0.00240743	+	0.0106839i
$232$	190.236	+	24.9237i	0.819982	+	0.107430i
$233$	287.618			1.23441			0.617205	−	0.786802i	$-0.288265\pi$
$233$	287.618			1.23441			0.617205	+	0.786802i	$0.288265\pi$
$234$	24.0554	+	112.065i	0.102801	+	0.478911i
$235$	336.939	−	336.939i	1.43378	−	1.43378i
$236$	167.951	+	290.619i	0.711657	+	1.23144i
$237$	211.424	+	110.993i	0.892086	+	0.468325i
$238$	−0.727866	+	5.53763i	−0.00305826	+	0.0232674i
$239$	84.1372	−	48.5766i	0.352038	−	0.203249i	−0.313544	−	0.949574i	$-0.601516\pi$
$239$	84.1372	−	48.5766i	0.352038	−	0.203249i	0.665583	+	0.746324i	$0.268183\pi$
$240$	−96.5483	+	430.148i	−0.402285	+	1.79228i
$241$	−141.026	+	244.264i	−0.585169	+	1.01354i	0.409685	+	0.912227i	$0.365639\pi$
$241$	−141.026	+	244.264i	−0.585169	+	1.01354i	−0.994854	+	0.101316i	$0.967695\pi$
$242$	119.232	−	155.454i	0.492695	−	0.642370i
$243$	−48.4778	−	238.115i	−0.199497	−	0.979898i
$244$	236.361	−	409.785i	0.968693	−	1.67945i
$245$	−434.426	+	116.404i	−1.77317	+	0.475119i
$246$	59.1356	−	83.8720i	0.240389	−	0.340943i
$247$	−163.590	+	94.4487i	−0.662307	+	0.382383i
$248$	−200.907	+	26.5781i	−0.810110	+	0.107170i
$249$	−355.445	+	110.719i	−1.42749	+	0.444655i
$250$	241.358	−	583.035i	0.965432	−	2.33214i
$251$	−66.4969	−	66.4969i	−0.264928	−	0.264928i	0.562125	−	0.827053i	$-0.309984\pi$
$251$	−66.4969	−	66.4969i	−0.264928	−	0.264928i	−0.827053	+	0.562125i	$0.809984\pi$
$252$	−5.95679	+	2.12428i	−0.0236381	+	0.00842967i
$253$	77.7390	+	77.7390i	0.307269	+	0.307269i
$254$	−206.956	+	85.7749i	−0.814789	+	0.337696i
$255$	−96.2825	+	427.292i	−0.377579	+	1.67565i
$256$	−256.000	+	0.427996i	−0.999999	+	0.00167186i
$257$	−108.901	+	62.8742i	−0.423741	+	0.244647i	−0.696676	−	0.717385i	$-0.745339\pi$
$257$	−108.901	+	62.8742i	−0.423741	+	0.244647i	0.272936	+	0.962032i	$0.412005\pi$
$258$	207.900	−	173.299i	0.805814	−	0.671700i
$259$	1.37818	−	0.369283i	0.00532117	−	0.00142580i
$260$	225.936	−	60.6406i	0.868984	−	0.233233i
$261$	72.4160	+	203.334i	0.277456	+	0.779057i
$262$	−378.448	+	49.9040i	−1.44446	+	0.190473i
$263$	−155.750	+	269.767i	−0.592205	+	1.02573i	0.401729	+	0.915758i	$0.368409\pi$
$263$	−155.750	+	269.767i	−0.592205	+	1.02573i	−0.993935	+	0.109971i	$0.964924\pi$
$264$	−114.741	−	10.3666i	−0.434624	−	0.0392676i
$265$	343.696	−	198.433i	1.29697	−	0.748804i
$266$	−6.34667	−	8.26757i	−0.0238597	−	0.0310811i
$267$	−7.68914	−	191.317i	−0.0287983	−	0.716544i
$268$	−121.733	−	210.644i	−0.454226	−	0.785984i
$269$	−7.50488	+	7.50488i	−0.0278992	+	0.0278992i	−0.720919	−	0.693020i	$-0.756280\pi$
$269$	−7.50488	+	7.50488i	−0.0278992	+	0.0278992i	0.693020	+	0.720919i	$0.256280\pi$
$270$	−480.339	+	123.478i	−1.77903	+	0.457325i
$271$	89.9461			0.331905			0.165952	−	0.986134i	$-0.446930\pi$
$271$	89.9461			0.331905			0.165952	+	0.986134i	$0.446930\pi$
$272$	−254.348	+	0.212617i	−0.935103	+	0.000781681i
$273$	2.46635	+	2.27576i	0.00903424	+	0.00833612i
$274$	−10.1103	+	76.9199i	−0.0368991	+	0.280729i
$275$	275.205	+	73.7410i	1.00075	+	0.268149i
$276$	−60.3011	+	268.132i	−0.218482	+	0.971494i
$277$	62.9239	+	234.835i	0.227162	+	0.847780i	0.981527	+	0.191325i	$0.0612783\pi$
$277$	62.9239	+	234.835i	0.227162	+	0.847780i	−0.754365	+	0.656455i	$0.772055\pi$
$278$	−110.373	+	14.5544i	−0.397026	+	0.0523538i
$279$	−129.472	−	187.660i	−0.464059	−	0.672616i
$280$	4.94699	+	11.9220i	0.0176678	+	0.0425784i
$281$	−40.1511	+	69.5437i	−0.142886	+	0.247487i	−0.928582	−	0.371126i	$-0.878972\pi$
$281$	−40.1511	+	69.5437i	−0.142886	+	0.247487i	0.785696	+	0.618613i	$0.212305\pi$
$282$	−28.1402	+	310.017i	−0.0997880	+	1.09935i
$283$	125.011	+	33.4966i	0.441735	+	0.118362i	0.472829	−	0.881154i	$-0.343233\pi$
$283$	125.011	+	33.4966i	0.441735	+	0.118362i	−0.0310947	+	0.999516i	$0.509899\pi$
$284$	66.6992	−	66.7550i	0.234856	−	0.235053i
$285$	−436.780	−	690.877i	−1.53256	−	2.42413i
$286$	23.4067	+	56.4755i	0.0818417	+	0.197467i
$287$		−	3.00469i		−	0.0104693i
$288$	−131.478	−	256.237i	−0.456522	−	0.889712i
$289$	36.2932			0.125582
$290$	406.963	−	168.669i	1.40332	−	0.581619i
$291$	−34.8389	−	18.2897i	−0.119721	−	0.0628511i
$292$	−332.837	−	332.558i	−1.13985	−	1.13890i
$293$	−5.53874	+	20.6709i	−0.0189036	+	0.0705490i	−0.974733	−	0.223372i	$-0.928294\pi$
$293$	−5.53874	+	20.6709i	−0.0189036	+	0.0705490i	0.955830	+	0.293921i	$0.0949602\pi$
$294$	169.308	−	240.129i	0.575877	−	0.816766i
$295$	667.450	+	385.353i	2.26254	+	1.30628i
$296$	24.9026	+	60.0137i	0.0841304	+	0.202749i
$297$	−48.3521	−	120.252i	−0.162802	−	0.404890i
$298$	−53.7402	−	407.539i	−0.180336	−	1.36758i
$299$	140.866	−	37.7449i	0.471124	−	0.126237i
$300$	212.102	+	679.918i	0.707008	+	2.26639i
$301$	2.05101	−	7.65448i	0.00681399	−	0.0254302i
$302$	13.0898	+	1.72052i	0.0433436	+	0.00569708i
$303$	−60.8137	−	195.232i	−0.200705	−	0.644330i
$304$	335.341	−	335.903i	1.10310	−	1.10494i
$305$		−	1086.20i		−	3.56132i
$306$	−130.417	−	254.693i	−0.426199	−	0.832329i
$307$	117.087	+	117.087i	0.381390	+	0.381390i	0.871603	−	0.490213i	$-0.163081\pi$
$307$	117.087	+	117.087i	0.381390	+	0.381390i	−0.490213	+	0.871603i	$0.663081\pi$
$308$	−2.92054	+	1.68780i	−0.00948226	+	0.00547987i
$309$	−61.8488	−	97.8294i	−0.200158	−	0.316600i
$310$	−369.105	+	283.347i	−1.19066	+	0.914021i
$311$	20.7760	+	35.9850i	0.0668037	+	0.115707i	0.897493	−	0.441029i	$-0.145387\pi$
$311$	20.7760	+	35.9850i	0.0668037	+	0.115707i	−0.830689	+	0.556737i	$0.812053\pi$
$312$	−88.0111	+	124.937i	−0.282087	+	0.400439i
$313$	−258.796	−	149.416i	−0.826825	−	0.477368i	0.0259390	−	0.999664i	$-0.491742\pi$
$313$	−258.796	−	149.416i	−0.826825	−	0.477368i	−0.852764	+	0.522296i	$0.825076\pi$
$314$	34.3854	+	260.762i	0.109508	+	0.830452i
$315$	−9.41078	+	11.0588i	−0.0298755	+	0.0351073i
$316$	82.5324	+	307.501i	0.261178	+	0.973104i
$317$	76.0339	+	283.762i	0.239855	+	0.895149i	0.975900	+	0.218217i	$0.0700242\pi$
$317$	76.0339	+	283.762i	0.239855	+	0.895149i	−0.736046	+	0.676932i	$0.763309\pi$
$318$	−89.4669	+	243.341i	−0.281342	+	0.765222i
$319$	57.5625	+	99.7012i	0.180447	+	0.312543i
$320$	−508.681	+	294.538i	−1.58963	+	0.920432i
$321$	−46.6973	+	50.6081i	−0.145474	+	0.157658i
$322$	3.08089	+	7.43353i	0.00956797	+	0.0230855i
$323$	333.456	−	333.456i	1.03237	−	1.03237i
$324$	189.389	−	262.884i	0.584533	−	0.811370i
$325$	267.243	−	267.243i	0.822286	−	0.822286i
$326$	0.223119	+	0.0923645i	0.000684416	+	0.000283327i
$327$	309.341	−	335.247i	0.945996	−	1.02522i
$328$	135.649	−	17.9451i	0.413565	−	0.0547106i
$329$	4.55713	+	7.89318i	0.0138515	+	0.0239914i
$330$	−240.107	+	111.014i	−0.727597	+	0.336405i
$331$	38.6312	+	144.174i	0.116711	+	0.435570i	0.999409	−	0.0343696i	$-0.0109423\pi$
$331$	38.6312	+	144.174i	0.116711	+	0.435570i	−0.882699	+	0.469940i	$0.844276\pi$
$332$	−429.988	−	248.014i	−1.29514	−	0.747030i
$333$	−47.3728	+	55.6688i	−0.142261	+	0.167174i
$334$	280.322	+	215.006i	0.839288	+	0.643730i
$335$	−483.775	−	279.307i	−1.44410	−	0.833754i
$336$	−7.46929	−	3.91325i	−0.0222300	−	0.0116466i
$337$	190.091	+	329.247i	0.564068	+	0.976994i	0.997136	+	0.0756331i	$0.0240978\pi$
$337$	190.091	+	329.247i	0.564068	+	0.976994i	−0.433068	+	0.901361i	$0.642569\pi$
$338$	−254.715	−	33.4797i	−0.753594	−	0.0990523i
$339$	215.089	+	340.218i	0.634482	+	1.00359i
$340$	−505.643	+	292.215i	−1.48718	+	0.859456i
$341$	−85.9864	−	85.9864i	−0.252159	−	0.252159i
$342$	508.167	+	163.987i	1.48587	+	0.479493i
$343$		−	17.2105i		−	0.0501765i
$344$	357.817	+	46.8793i	1.04017	+	0.136277i
$345$	187.670	+	602.482i	0.543970	+	1.74632i
$346$	−37.4097	−	48.7322i	−0.108121	−	0.140845i
$347$	−63.5936	+	237.334i	−0.183267	+	0.683961i	0.811728	+	0.584036i	$0.198527\pi$
$347$	−63.5936	+	237.334i	−0.183267	+	0.683961i	−0.994995	+	0.0999256i	$0.968140\pi$
$348$	−133.665	+	254.869i	−0.384094	+	0.732382i
$349$	219.123	−	58.7139i	0.627861	−	0.168235i	0.0691619	−	0.997605i	$-0.477967\pi$
$349$	219.123	−	58.7139i	0.627861	−	0.168235i	0.558699	+	0.829371i	$0.311301\pi$
$350$	16.5467	+	12.6913i	0.0472764	+	0.0362608i
$351$	−170.214	−	24.2113i	−0.484939	−	0.0689780i
$352$	−93.6396	−	121.770i	−0.266022	−	0.345937i
$353$	459.864	+	265.502i	1.30273	+	0.752131i	0.980871	−	0.194657i	$-0.0623593\pi$
$353$	459.864	+	265.502i	1.30273	+	0.752131i	0.321858	+	0.946788i	$0.395693\pi$
$354$	−496.122	+	85.8153i	−1.40147	+	0.242416i
$355$	56.0794	−	209.291i	0.157970	−	0.589552i
$356$	180.446	−	180.597i	0.506870	−	0.507294i
$357$	−7.41784	−	3.89420i	−0.0207783	−	0.0109081i
$358$	137.673	−	332.569i	0.384562	−	0.928963i
$359$	202.774			0.564831			0.282415	−	0.959292i	$-0.408864\pi$
$359$	202.774			0.564831			0.282415	+	0.959292i	$0.408864\pi$
$360$	−555.464	−	358.810i	−1.54295	−	0.996695i
$361$			519.017i			1.43772i
$362$	−60.7381	+	146.721i	−0.167785	+	0.405308i
$363$	157.037	+	248.393i	0.432608	+	0.684279i
$364$	0.00187019	+	4.47451i	5.13789e−6	+	0.0122926i
$365$	−1043.51	−	279.609i	−2.85894	−	0.766051i
$366$	454.348	+	545.065i	1.24139	+	1.48925i
$367$	−278.651	+	482.637i	−0.759266	+	1.31509i	0.183959	+	0.982934i	$0.441108\pi$
$367$	−278.651	+	482.637i	−0.759266	+	1.31509i	−0.943225	+	0.332153i	$0.892225\pi$
$368$	−317.192	+	183.485i	−0.861936	+	0.498600i
$369$	87.4177	+	126.705i	0.236904	+	0.343373i
$370$	118.379	+	90.7960i	0.319943	+	0.245395i
$371$	1.96470	+	7.33235i	0.00529568	+	0.0197638i
$372$	66.6985	−	296.579i	0.179297	−	0.797255i
$373$	409.025	+	109.598i	1.09658	+	0.293828i	0.761372	−	0.648316i	$-0.224526\pi$
$373$	409.025	+	109.598i	1.09658	+	0.293828i	0.335210	+	0.942144i	$0.391193\pi$
$374$	−92.9342	−	121.062i	−0.248487	−	0.323695i
$375$	695.633	+	641.878i	1.85502	+	1.71167i
$376$	−329.127	+	252.876i	−0.875339	+	0.672543i
$377$	152.714			0.405076
$378$	0.0966066	−	9.48585i	0.000255573	−	0.0250949i
$379$	97.4851	−	97.4851i	0.257217	−	0.257217i	−0.566704	−	0.823921i	$-0.691782\pi$
$379$	97.4851	−	97.4851i	0.257217	−	0.257217i	0.823921	+	0.566704i	$0.191782\pi$
$380$	281.626	−	1052.80i	0.741122	−	2.77054i
$381$	−13.4948	−	335.770i	−0.0354194	−	0.881287i
$382$	631.642	+	83.0230i	1.65351	+	0.217338i
$383$	−228.390	+	131.861i	−0.596320	+	0.344285i	−0.767592	−	0.640938i	$-0.778545\pi$
$383$	−228.390	+	131.861i	−0.596320	+	0.344285i	0.171273	+	0.985224i	$0.445212\pi$
$384$	132.058	−	360.578i	0.343900	−	0.939006i
$385$	−3.87255	+	6.70745i	−0.0100586	+	0.0174219i
$386$	381.984	+	292.980i	0.989597	+	0.759016i
$387$	136.208	+	382.453i	0.351959	+	0.988252i
$388$	−13.5999	−	50.6706i	−0.0350512	−	0.130594i
$389$	680.629	−	182.374i	1.74969	−	0.468828i	0.765129	−	0.643877i	$-0.222675\pi$
$389$	680.629	−	182.374i	1.74969	−	0.468828i	0.984560	+	0.175049i	$0.0560085\pi$
$390$	−31.7206	+	349.462i	−0.0813348	+	0.896056i
$391$	−315.298	+	182.037i	−0.806388	+	0.465569i
$392$	388.369	−	51.3775i	0.990738	−	0.131065i
$393$	125.866	−	558.580i	0.320270	−	1.42132i
$394$	−307.491	−	127.292i	−0.780435	−	0.323076i
$395$	516.923	+	516.923i	1.30867	+	1.30867i
$396$	74.0517	−	156.142i	0.186999	−	0.394298i
$397$	497.096	+	497.096i	1.25213	+	1.25213i	0.954763	+	0.297367i	$0.0961086\pi$
$397$	497.096	+	497.096i	1.25213	+	1.25213i	0.297367	+	0.954763i	$0.403891\pi$
$398$	−29.2808	−	70.6484i	−0.0735699	−	0.177508i
$399$	14.9267	−	4.64957i	0.0374102	−	0.0116531i
$400$	−474.135	+	822.813i	−1.18534	+	2.05703i
$401$	−138.667	+	80.0593i	−0.345802	+	0.199649i	−0.662835	−	0.748766i	$-0.730647\pi$
$401$	−138.667	+	80.0593i	−0.345802	+	0.199649i	0.317032	+	0.948415i	$0.397314\pi$
$402$	359.594	−	62.1998i	0.894513	−	0.154726i
$403$	−155.811	+	41.7493i	−0.386627	+	0.103596i
$404$	136.224	−	236.175i	0.337189	−	0.584592i
$405$	75.1012	−	740.134i	0.185435	−	1.82749i
$406$	1.10159	+	8.35391i	0.00271327	+	0.0205761i
$407$	−19.4940	+	33.7645i	−0.0478967	+	0.0829595i
$408$	131.505	−	358.142i	0.322316	−	0.877799i
$409$	−146.314	+	84.4742i	−0.357735	+	0.206538i	−0.668087	−	0.744083i	$-0.732887\pi$
$409$	−146.314	+	84.4742i	−0.357735	+	0.206538i	0.310352	+	0.950622i	$0.399553\pi$
$410$	249.213	−	191.311i	0.607837	−	0.466612i
$411$	−103.037	−	54.0920i	−0.250697	−	0.131611i
$412$	39.8788	−	149.079i	0.0967933	−	0.361842i
$413$	−10.4239	+	10.4239i	−0.0252394	+	0.0252394i
$414$	−346.187	−	223.830i	−0.836200	−	0.540652i
$415$	−1139.75			−2.74639
$416$	−201.994	+	26.8078i	−0.485563	+	0.0644418i
$417$	36.7085	−	162.908i	0.0880299	−	0.390667i
$418$	282.376	+	37.1155i	0.675541	+	0.0887930i
$419$	−291.258	−	78.0423i	−0.695126	−	0.186258i	−0.106080	−	0.994358i	$-0.533830\pi$
$419$	−291.258	−	78.0423i	−0.695126	−	0.186258i	−0.589046	+	0.808099i	$0.700497\pi$
$420$	−19.3454	+	0.785602i	−0.0460605	+	0.00187048i
$421$	−145.324	−	542.357i	−0.345188	−	1.28826i	−0.892392	−	0.451261i	$-0.850974\pi$
$421$	−145.324	−	542.357i	−0.345188	−	1.28826i	0.547204	−	0.836999i	$-0.315692\pi$
$422$	−24.3198	−	184.430i	−0.0576300	−	0.437037i
$423$	−421.812	−	200.264i	−0.997191	−	0.473437i
$424$	−319.291	+	132.489i	−0.753045	+	0.312475i
$425$	−471.758	+	817.109i	−1.11002	+	1.92261i
$426$	59.4035	+	128.482i	0.139445	+	0.301600i
$427$	20.0683	+	5.37727i	0.0469983	+	0.0125931i
$428$	−91.8144	+	0.0383753i	−0.214520	+	8.96618e-5i
$429$	−91.6269	+	3.68253i	−0.213582	+	0.00858400i
$430$	765.463	−	317.253i	1.78015	−	0.737797i
$431$		−	245.416i		−	0.569410i	−0.958615	−	0.284705i	$-0.908104\pi$
$431$		−	245.416i		−	0.569410i	0.958615	−	0.284705i	$-0.0918956\pi$
$432$	428.824	−	52.2915i	0.992647	−	0.121045i
$433$	−210.321			−0.485731			−0.242865	−	0.970060i	$-0.578087\pi$
$433$	−210.321			−0.485731			−0.242865	+	0.970060i	$0.578087\pi$
$434$	−3.40774	−	8.22216i	−0.00785194	−	0.0189451i
$435$	26.5364	+	660.265i	0.0610033	+	1.51785i
$436$	608.214	−	0.254212i	1.39499	−	0.000583056i
$437$	175.842	−	656.253i	0.402385	−	1.50172i
$438$	640.602	−	296.182i	1.46256	−	0.676216i
$439$	263.157	+	151.934i	0.599446	+	0.346090i	0.768824	−	0.639461i	$-0.220842\pi$
$439$	263.157	+	151.934i	0.599446	+	0.346090i	−0.169378	+	0.985551i	$0.554176\pi$
$440$	−325.941	−	134.770i	−0.740776	−	0.306295i
$441$	250.280	+	362.761i	0.567529	+	0.822588i
$442$	−200.713	+	26.4670i	−0.454102	+	0.0598802i
$443$	−288.312	+	77.2530i	−0.650818	+	0.174386i	−0.569099	−	0.822269i	$-0.692708\pi$
$443$	−288.312	+	77.2530i	−0.650818	+	0.174386i	−0.0817191	+	0.996655i	$0.526041\pi$
$444$	−97.3826	+	3.95463i	−0.219330	+	0.00890682i
$445$	151.715	−	566.209i	0.340933	−	1.27238i
$446$	12.7530	−	97.0256i	0.0285943	−	0.217546i
$447$	601.519	+	135.541i	1.34568	+	0.303225i
$448$	−2.92354	−	10.8563i	−0.00652575	−	0.0242329i
$449$			236.230i			0.526124i	0.964779	+	0.263062i	$0.0847323\pi$
$449$			236.230i			0.526124i	−0.964779	+	0.263062i	$0.915268\pi$
$450$	−1067.00	−	53.7717i	−2.37110	−	0.119493i
$451$	58.0566	+	58.0566i	0.128729	+	0.128729i
$452$	−138.685	+	518.447i	−0.306826	+	1.14701i
$453$	−9.20506	+	17.5342i	−0.0203202	+	0.0387068i
$454$	33.8639	+	44.1131i	0.0745900	+	0.0971655i
$455$	5.13695	+	8.89746i	0.0112900	+	0.0195548i
$456$	299.056	+	646.108i	0.655825	+	1.41690i
$457$	−239.630	−	138.351i	−0.524355	−	0.302736i	0.214360	−	0.976755i	$-0.431234\pi$
$457$	−239.630	−	138.351i	−0.524355	−	0.302736i	−0.738715	+	0.674018i	$0.764567\pi$
$458$	357.011	−	47.0773i	0.779501	−	0.102789i
$459$	426.100	−	51.5979i	0.928322	−	0.112414i
$460$	−420.385	+	728.831i	−0.913880	+	1.58442i
$461$	12.4615	+	46.5071i	0.0270316	+	0.100883i	0.978124	−	0.208024i	$-0.0667033\pi$
$461$	12.4615	+	46.5071i	0.0270316	+	0.100883i	−0.951092	+	0.308907i	$0.900037\pi$
$462$	−0.862389	−	4.98570i	−0.00186664	−	0.0107916i
$463$	−419.804	−	727.122i	−0.906704	−	1.57046i	−0.818613	−	0.574345i	$-0.805257\pi$
$463$	−419.804	−	727.122i	−0.906704	−	1.57046i	−0.0880912	−	0.996112i	$-0.528077\pi$
$464$	−370.565	+	99.6246i	−0.798631	+	0.214708i
$465$	−207.580	−	666.400i	−0.446408	−	1.43312i
$466$	−531.402	+	220.244i	−1.14035	+	0.472627i
$467$	−537.958	+	537.958i	−1.15195	+	1.15195i	−0.165783	+	0.986162i	$0.553015\pi$
$467$	−537.958	+	537.958i	−1.15195	+	1.15195i	−0.986162	+	0.165783i	$0.946985\pi$
$468$	−130.259	−	188.631i	−0.278331	−	0.403058i
$469$	7.55532	−	7.55532i	0.0161094	−	0.0161094i
$470$	−364.516	+	880.540i	−0.775566	+	1.87349i
$471$	−384.879	−	86.7255i	−0.817152	−	0.184131i
$472$	−532.849	−	408.339i	−1.12892	−	0.865124i
$473$	108.270	+	187.529i	0.228901	+	0.396468i
$474$	−475.621	−	43.1720i	−1.00342	−	0.0910802i
$475$	−455.704	−	1700.71i	−0.959377	−	3.58044i
$476$	−2.89565	−	10.7887i	−0.00608331	−	0.0226653i
$477$	−296.175	−	252.038i	−0.620912	−	0.528381i
$478$	−118.254	+	154.178i	−0.247393	+	0.322549i
$479$	694.558	+	401.003i	1.45002	+	0.837167i	0.998482	−	0.0550867i	$-0.0175435\pi$
$479$	694.558	+	401.003i	1.45002	+	0.837167i	0.451534	+	0.892254i	$0.350877\pi$
$480$	−151.004	−	868.673i	−0.314593	−	1.80974i
$481$	25.8588	+	44.7888i	0.0537605	+	0.0931159i
$482$	73.5134	−	559.293i	0.152517	−	1.16036i
$483$	−12.0603	+	0.484710i	−0.0249696	+	0.00100354i
$484$	−101.254	+	378.518i	−0.209203	+	0.782062i
$485$	−85.1797	−	85.1797i	−0.175628	−	0.175628i
$486$	271.905	+	402.820i	0.559475	+	0.828847i
$487$			29.2261i			0.0600125i	0.999550	+	0.0300062i	$0.00955271\pi$
$487$			29.2261i			0.0600125i	−0.999550	+	0.0300062i	$0.990447\pi$
$488$	−122.907	+	938.113i	−0.251858	+	1.92236i
$489$	−0.245638	+	0.266209i	−0.000502327	+	0.000544395i
$490$	713.508	−	547.731i	1.45614	−	1.11782i
$491$	−126.657	+	472.690i	−0.257957	+	0.962710i	0.708464	+	0.705747i	$0.249388\pi$
$491$	−126.657	+	472.690i	−0.257957	+	0.962710i	−0.966421	+	0.256963i	$0.917278\pi$
$492$	−45.0337	+	200.245i	−0.0915319	+	0.407002i
$493$	−368.256	+	98.6740i	−0.746970	+	0.200150i
$494$	229.924	−	299.773i	0.465434	−	0.606827i
$495$	−31.8432	−	395.513i	−0.0643297	−	0.799016i
$496$	350.844	−	202.951i	0.707346	−	0.409175i
$497$	3.58916	+	2.07220i	0.00722165	+	0.00416942i
$498$	571.937	−	476.748i	1.14847	−	0.957325i
$499$	114.690	−	428.028i	0.229839	−	0.857771i	−0.750569	−	0.660792i	$-0.770220\pi$
$499$	114.690	−	428.028i	0.229839	−	0.857771i	0.980408	−	0.196979i	$-0.0631130\pi$
$500$	0.527487	+	1262.03i	0.00105497	+	2.52407i
$501$	−447.916	+	283.177i	−0.894044	+	0.565224i
$502$	173.780	+	71.9394i	0.346175	+	0.143306i
$503$	−494.665			−0.983429			−0.491715	−	0.870756i	$-0.663630\pi$
$503$	−494.665			−0.983429			−0.491715	+	0.870756i	$0.663630\pi$
$504$	9.37909	−	8.48624i	0.0186093	−	0.0168378i
$505$		−	626.020i		−	1.23964i
$506$	−203.159	−	84.1016i	−0.401501	−	0.166209i
$507$	179.122	−	341.199i	0.353297	−	0.672976i
$508$	316.690	−	316.955i	0.623406	−	0.623927i
$509$	−446.618	−	119.671i	−0.877443	−	0.235110i	−0.208139	−	0.978099i	$-0.566741\pi$
$509$	−446.618	−	119.671i	−0.877443	−	0.235110i	−0.669303	+	0.742989i	$0.733407\pi$
$510$	−149.308	−	863.193i	−0.292762	−	1.69253i
$511$	10.3319	−	17.8954i	0.0202190	−	0.0350203i
$512$	472.657	−	196.823i	0.923158	−	0.384420i
$513$	−494.169	+	630.340i	−0.963293	+	1.22873i
$514$	153.060	−	199.558i	0.297782	−	0.388245i
$515$	−91.7086	−	342.261i	−0.178075	−	0.664585i
$516$	−251.412	+	479.386i	−0.487232	+	0.929043i
$517$	−240.565	−	64.4591i	−0.465309	−	0.124679i
$518$	−2.26355	+	1.73764i	−0.00436979	+	0.00335451i
$519$	87.9835	−	27.4064i	0.169525	−	0.0528061i
$520$	−371.003	+	285.050i	−0.713468	+	0.548174i
$521$	160.785			0.308608			0.154304	−	0.988023i	$-0.450686\pi$
$521$	160.785			0.308608			0.154304	+	0.988023i	$0.450686\pi$
$522$	−289.499	−	320.227i	−0.554596	−	0.613461i
$523$	−136.570	+	136.570i	−0.261129	+	0.261129i	−0.825512	−	0.564384i	$-0.809114\pi$
$523$	−136.570	+	136.570i	−0.261129	+	0.261129i	0.564384	+	0.825512i	$0.309114\pi$
$524$	661.005	−	382.000i	1.26146	−	0.729008i
$525$	−26.4394	+	16.7153i	−0.0503607	+	0.0318386i
$526$	81.1887	−	617.687i	0.154351	−	1.17431i
$527$	348.748	−	201.350i	0.661761	−	0.382068i
$528$	219.933	−	68.7097i	0.416540	−	0.130132i
$529$	2.23883	−	3.87777i	0.00423220	−	0.00733038i
$530$	−483.062	+	629.811i	−0.911438	+	1.18832i
$531$	136.295	−	742.833i	0.256676	−	1.39893i
$532$	18.0570	+	10.4152i	0.0339418	+	0.0195774i
$533$	105.201	−	28.1885i	0.197375	−	0.0528864i
$534$	160.708	+	347.589i	0.300952	+	0.650917i
$535$	−182.571	+	105.407i	−0.341254	+	0.197023i
$536$	386.214	+	295.968i	0.720549	+	0.552179i
$537$	396.796	+	366.134i	0.738913	+	0.681813i
$538$	8.11912	−	19.6129i	0.0150913	−	0.0364552i
$539$	166.218	+	166.218i	0.308383	+	0.308383i
$540$	792.921	−	595.959i	1.46837	−	1.10363i
$541$	26.3367	+	26.3367i	0.0486815	+	0.0486815i	0.731028	−	0.682347i	$-0.239041\pi$
$541$	26.3367	+	26.3367i	0.0486815	+	0.0486815i	−0.682347	+	0.731028i	$0.739041\pi$
$542$	−166.184	+	68.8765i	−0.306613	+	0.127078i
$543$	−175.057	−	161.529i	−0.322388	−	0.297476i
$544$	469.770	−	195.161i	0.863548	−	0.358751i
$545$	1209.42	−	698.258i	2.21912	−	1.28121i
$546$	−6.29949	−	2.31608i	−0.0115375	−	0.00424190i
$547$	−92.2354	+	24.7144i	−0.168621	+	0.0451817i	−0.342142	−	0.939648i	$-0.611152\pi$
$547$	−92.2354	+	24.7144i	−0.168621	+	0.0451817i	0.173521	+	0.984830i	$0.444486\pi$
$548$	−40.2218	−	149.859i	−0.0733974	−	0.273466i
$549$	−1002.70	+	357.106i	−1.82642	+	0.650467i
$550$	−564.936	+	74.4954i	−1.02716	+	0.135446i
$551$	355.724	−	616.132i	0.645597	−	1.11821i
$552$	−93.9110	−	541.577i	−0.170129	−	0.981118i
$553$	−12.1095	+	6.99144i	−0.0218979	+	0.0126427i
$554$	−296.084	−	385.697i	−0.534447	−	0.696204i
$555$	−189.153	+	119.584i	−0.340816	+	0.215468i
$556$	192.780	−	111.409i	0.346727	−	0.200376i
$557$	714.172	−	714.172i	1.28218	−	1.28218i	0.342749	−	0.939427i	$-0.388642\pi$
$557$	714.172	−	714.172i	1.28218	−	1.28218i	0.939427	−	0.342749i	$-0.111358\pi$
$558$	382.914	+	247.576i	0.686226	+	0.443685i
$559$	287.242			0.513849
$560$	−18.2693	−	18.2388i	−0.0326238	−	0.0325693i
$561$	218.571	−	68.0836i	0.389610	−	0.121361i
$562$	20.9298	−	159.235i	0.0372416	−	0.283336i
$563$	221.880	+	59.4525i	0.394103	+	0.105599i	0.450427	−	0.892813i	$-0.351272\pi$
$563$	221.880	+	59.4525i	0.394103	+	0.105599i	−0.0563249	+	0.998412i	$0.517938\pi$
$564$	−185.405	−	594.336i	−0.328732	−	1.05379i
$565$	318.932	+	1190.27i	0.564481	+	2.10667i
$566$	−256.620	+	33.8393i	−0.453393	+	0.0597867i
$567$	13.3027	+	5.05160i	0.0234615	+	0.00890935i
$568$	−72.1156	+	174.412i	−0.126964	+	0.307063i
$569$	425.161	−	736.400i	0.747207	−	1.29420i	−0.201950	−	0.979396i	$-0.564728\pi$
$569$	425.161	−	736.400i	0.747207	−	1.29420i	0.949157	−	0.314804i	$-0.101939\pi$
$570$	1336.03	+	941.998i	2.34392	+	1.65263i
$571$	−346.248	−	92.7770i	−0.606389	−	0.162482i	−0.0574565	−	0.998348i	$-0.518299\pi$
$571$	−346.248	−	92.7770i	−0.606389	−	0.162482i	−0.548933	+	0.835866i	$0.684966\pi$
$572$	−86.4925	−	86.4203i	−0.151211	−	0.151084i
$573$	−444.187	+	846.105i	−0.775195	+	1.47662i
$574$	2.30085	+	5.55146i	0.00400845	+	0.00967154i
$575$			1359.32i			2.36404i
$576$	439.133	+	372.744i	0.762384	+	0.647124i
$577$	−1019.52			−1.76693			−0.883465	−	0.468498i	$-0.844795\pi$
$577$	−1019.52			−1.76693			−0.883465	+	0.468498i	$0.844795\pi$
$578$	−67.0554	+	27.7917i	−0.116013	+	0.0480825i
$579$	−610.358	+	385.875i	−1.05416	+	0.666450i
$580$	−622.746	+	623.267i	−1.07370	+	1.07460i
$581$	5.64238	−	21.0576i	0.00971149	−	0.0362438i
$582$	78.3738	+	7.11397i	0.134663	+	0.0122233i
$583$	−179.637	−	103.714i	−0.308126	−	0.177897i
$584$	869.606	+	359.564i	1.48905	+	0.615692i
$585$	−475.480	−	225.744i	−0.812787	−	0.385887i
$586$	−5.59540	−	42.4328i	−0.00954847	−	0.0724109i
$587$	15.4023	−	4.12702i	0.0262389	−	0.00703071i	−0.245676	−	0.969352i	$-0.579010\pi$
$587$	15.4023	−	4.12702i	0.0262389	−	0.00703071i	0.271915	+	0.962321i	$0.412343\pi$
$588$	−128.933	+	573.310i	−0.219275	+	0.975018i
$589$	−194.498	+	725.875i	−0.330217	+	1.23239i
$590$	−1528.27	−	200.875i	−2.59028	−	0.340466i
$591$	338.525	−	366.876i	0.572801	−	0.620771i
$592$	−91.9657	−	91.8121i	−0.155347	−	0.155088i
$593$		−	95.3011i		−	0.160710i	−0.996766	−	0.0803550i	$-0.974395\pi$
$593$		−	95.3011i		−	0.160710i	0.996766	−	0.0803550i	$-0.0256054\pi$
$594$	181.419	+	185.152i	0.305419	+	0.311704i
$595$	−18.1363	−	18.1363i	−0.0304811	−	0.0304811i
$596$	411.364	+	711.817i	0.690209	+	1.19432i
$597$	114.621	−	4.60669i	0.191995	−	0.00771640i
$598$	−231.361	+	177.606i	−0.386891	+	0.297000i
$599$	80.2810	+	139.051i	0.134025	+	0.232138i	0.925225	−	0.379420i	$-0.123876\pi$
$599$	80.2810	+	139.051i	0.134025	+	0.232138i	−0.791200	+	0.611558i	$0.790543\pi$
$600$	−912.530	−	1093.80i	−1.52088	−	1.82300i
$601$	−610.116	−	352.250i	−1.01517	−	0.586107i	−0.102467	−	0.994736i	$-0.532674\pi$
$601$	−610.116	−	352.250i	−1.01517	−	0.586107i	−0.912700	+	0.408629i	$0.866007\pi$
$602$	2.07199	+	15.7130i	0.00344185	+	0.0261013i
$603$	−98.7879	+	538.413i	−0.163827	+	0.892891i
$604$	−25.5021	+	6.84470i	−0.0422221	+	0.0113323i
$605$	232.852	+	869.016i	0.384880	+	1.43639i
$606$	261.859	+	314.142i	0.432110	+	0.518387i
$607$	409.614	+	709.472i	0.674817	+	1.16882i	0.976522	+	0.215416i	$0.0691107\pi$
$607$	409.614	+	709.472i	0.674817	+	1.16882i	−0.301706	+	0.953401i	$0.597556\pi$
$608$	−362.358	+	877.402i	−0.595984	+	1.44310i
$609$	−12.3302	−	2.77839i	−0.0202466	−	0.00456221i
$610$	831.762	+	2006.86i	1.36354	+	3.28994i
$611$	−233.605	+	233.605i	−0.382332	+	0.382332i
$612$	435.990	+	370.703i	0.712402	+	0.605724i
$613$	457.259	−	457.259i	0.745937	−	0.745937i	−0.227776	−	0.973713i	$-0.573145\pi$
$613$	457.259	−	457.259i	0.745937	−	0.745937i	0.973713	+	0.227776i	$0.0731455\pi$
$614$	−305.989	−	126.670i	−0.498353	−	0.206303i
$615$	140.154	+	449.942i	0.227893	+	0.731613i
$616$	4.10354	−	5.35479i	0.00666160	−	0.00869284i
$617$	31.0475	+	53.7759i	0.0503201	+	0.0871570i	0.890088	−	0.455788i	$-0.150643\pi$
$617$	31.0475	+	53.7759i	0.0503201	+	0.0871570i	−0.839768	+	0.542945i	$0.817309\pi$
$618$	189.185	+	133.389i	0.306125	+	0.215839i
$619$	77.6672	+	289.858i	0.125472	+	0.468268i	0.999856	−	0.0169666i	$-0.00540090\pi$
$619$	77.6672	+	289.858i	0.125472	+	0.468268i	−0.874384	+	0.485235i	$0.838734\pi$
$620$	464.984	−	806.154i	0.749974	−	1.30025i
$621$	494.469	−	371.319i	0.796246	−	0.597937i
$622$	−65.9412	−	50.5766i	−0.106015	−	0.0813129i
$623$	9.70999	+	5.60607i	0.0155859	+	0.00899850i
$624$	66.9384	−	298.228i	0.107273	−	0.477930i
$625$	706.966	+	1224.50i	1.13115	+	1.95920i
$626$	592.568	+	77.8871i	0.946594	+	0.124420i
$627$	−198.574	+	378.252i	−0.316705	+	0.603272i
$628$	−263.210	−	455.453i	−0.419123	−	0.725243i
$629$	−91.2959	−	91.2959i	−0.145145	−	0.145145i
$630$	8.91904	−	27.6386i	0.0141572	−	0.0438708i
$631$			76.8052i			0.121720i	0.998146	+	0.0608599i	$0.0193843\pi$
$631$			76.8052i			0.121720i	−0.998146	+	0.0608599i	$0.980616\pi$
$632$	−387.956	−	504.939i	−0.613855	−	0.798954i
$633$	272.214	+	61.3386i	0.430038	+	0.0969014i
$634$	−357.772	−	466.056i	−0.564309	−	0.735104i
$635$	266.267	−	993.722i	0.419318	−	1.56492i
$636$	−21.0398	−	518.105i	−0.0330815	−	0.814631i
$637$	301.194	−	80.7047i	0.472832	−	0.126695i
$638$	−182.699	−	140.129i	−0.286362	−	0.219638i
$639$	−211.640	+	17.0393i	−0.331204	+	0.0266656i
$640$	714.295	−	933.712i	1.11609	−	1.45893i
$641$	−174.004	−	100.461i	−0.271457	−	0.156726i	0.358093	−	0.933686i	$-0.383427\pi$
$641$	−174.004	−	100.461i	−0.271457	−	0.156726i	−0.629549	+	0.776960i	$0.716760\pi$
$642$	47.5246	−	129.262i	0.0740259	−	0.201343i
$643$	196.502	−	733.357i	0.305602	−	1.14052i	−0.626823	−	0.779162i	$-0.715645\pi$
$643$	196.502	−	733.357i	0.305602	−	1.14052i	0.932426	−	0.361362i	$-0.117688\pi$
$644$	−11.3845	−	11.3750i	−0.0176778	−	0.0176630i
$645$	49.9127	+	1241.90i	0.0773841	+	1.92543i
$646$	−360.748	+	871.439i	−0.558434	+	1.34898i
$647$	−625.588			−0.966905			−0.483453	−	0.875371i	$-0.660617\pi$
$647$	−625.588			−0.966905			−0.483453	+	0.875371i	$0.660617\pi$
$648$	−148.610	+	630.729i	−0.229337	+	0.973347i
$649$		−	402.819i		−	0.620677i
$650$	−289.116	+	698.400i	−0.444794	+	1.07446i
$651$	13.3398	−	0.536133i	0.0204912	−	0.000823553i
$652$	−0.482964		0.000201862i	−0.000740742		3.09604e-7i
$653$	717.588	+	192.277i	1.09891	+	0.294452i	0.762321	−	0.647199i	$-0.224060\pi$
$653$	717.588	+	192.277i	1.09891	+	0.294452i	0.336589	+	0.941651i	$0.390727\pi$
$654$	−314.821	+	856.281i	−0.481378	+	1.30930i
$655$	876.474	−	1518.10i	1.33813	−	2.31770i
$656$	−236.884	+	137.029i	−0.361103	+	0.208886i
$657$	84.9572	+	1055.22i	0.129311	+	1.60612i
$658$	−14.4640	−	11.0938i	−0.0219817	−	0.0168599i
$659$	−147.895	−	551.951i	−0.224423	−	0.837558i	−0.982635	−	0.185550i	$-0.940593\pi$
$659$	−147.895	−	551.951i	−0.224423	−	0.837558i	0.758212	−	0.652008i	$-0.226073\pi$
$660$	358.613	−	388.971i	0.543352	−	0.589350i
$661$	−821.329	−	220.074i	−1.24255	−	0.332942i	−0.423099	−	0.906084i	$-0.639058\pi$
$661$	−821.329	−	220.074i	−1.24255	−	0.332942i	−0.819456	+	0.573142i	$0.805724\pi$
$662$	−181.776	−	236.793i	−0.274587	−	0.357694i
$663$	66.7541	−	296.248i	0.100685	−	0.446829i
$664$	984.362	+	128.966i	1.48247	+	0.194226i
$665$	47.8631			0.0719745
$666$	44.8974	−	139.129i	0.0674135	−	0.208903i
$667$	−388.387	+	388.387i	−0.582290	+	0.582290i
$668$	−682.564	−	182.587i	−1.02180	−	0.273334i
$669$	129.969	+	68.2309i	0.194273	+	0.101989i
$670$	1107.70	+	145.596i	1.65329	+	0.217308i
$671$	−491.658	+	283.859i	−0.732724	+	0.423039i
$672$	16.7968	+	1.51049i	0.0249953	+	0.00224775i
$673$	381.702	−	661.126i	0.567164	−	0.982357i	−0.429680	−	0.902981i	$-0.641374\pi$
$673$	381.702	−	661.126i	0.567164	−	0.982357i	0.996845	−	0.0793763i	$-0.0252929\pi$
$674$	−603.334	−	462.754i	−0.895154	−	0.686579i
$675$	628.613	−	1474.09i	0.931279	−	2.18383i
$676$	496.248	−	133.192i	0.734095	−	0.197029i
$677$	198.603	−	53.2156i	0.293358	−	0.0786050i	−0.109139	−	0.994027i	$-0.534809\pi$
$677$	198.603	−	53.2156i	0.293358	−	0.0786050i	0.402496	+	0.915422i	$0.368143\pi$
$678$	−657.922	−	463.881i	−0.970386	−	0.684190i
$679$	1.99543	−	1.15206i	0.00293878	−	0.00169671i
$680$	710.461	−	927.093i	1.04480	−	1.36337i
$681$	−79.6441	+	24.8087i	−0.116952	+	0.0364298i
$682$	224.713	+	93.0240i	0.329491	+	0.136399i
$683$	866.002	+	866.002i	1.26794	+	1.26794i	0.947151	+	0.320788i	$0.103948\pi$
$683$	866.002	+	866.002i	1.26794	+	1.26794i	0.320788	+	0.947151i	$0.396052\pi$
$684$	−1064.46	+	86.1489i	−1.55623	+	0.125949i
$685$	−251.920	−	251.920i	−0.367767	−	0.367767i
$686$	13.1790	+	31.7982i	0.0192114	+	0.0463530i
$687$	−118.737	+	526.941i	−0.172834	+	0.767017i
$688$	−697.001	+	187.385i	−1.01308	+	0.272362i
$689$	−238.290	+	137.577i	−0.345849	+	0.199676i
$690$	−808.090	−	969.436i	−1.17115	−	1.40498i
$691$	209.005	−	56.0026i	0.302467	−	0.0810457i	−0.104394	−	0.994536i	$-0.533290\pi$
$691$	209.005	−	56.0026i	0.302467	−	0.0810457i	0.406860	+	0.913490i	$0.366624\pi$
$692$	106.435	+	61.3910i	0.153808	+	0.0887153i
$693$	7.46500	+	1.36968i	0.0107720	+	0.00197645i
$694$	−64.2441	−	487.196i	−0.0925708	−	0.702011i
$695$	255.621	−	442.749i	0.367800	−	0.637048i
$696$	51.7922	−	573.250i	0.0744141	−	0.823635i
$697$	−235.469	+	135.948i	−0.337832	+	0.195047i
$698$	−359.892	+	276.274i	−0.515604	+	0.395808i
$699$	−34.6506	−	862.157i	−0.0495716	−	1.23342i
$700$	−40.2901	−	10.7777i	−0.0575573	−	0.0153967i
$701$	182.729	−	182.729i	0.260669	−	0.260669i	−0.564657	−	0.825326i	$-0.690991\pi$
$701$	182.729	−	182.729i	0.260669	−	0.260669i	0.825326	+	0.564657i	$0.190991\pi$
$702$	333.027	−	85.6090i	0.474397	−	0.121950i
$703$	240.937			0.342727
$704$	266.254	+	153.277i	0.378202	+	0.217723i
$705$	−1050.59	−	969.409i	−1.49020	−	1.37505i
$706$	−1052.95	−	138.400i	−1.49143	−	0.196034i
$707$	11.5661	+	3.09913i	0.0163594	+	0.00438350i
$708$	850.920	−	538.459i	1.20187	−	0.760535i
$709$	144.701	+	540.033i	0.204092	+	0.761682i	0.989724	+	0.142988i	$0.0456712\pi$
$709$	144.701	+	540.033i	0.204092	+	0.761682i	−0.785632	+	0.618694i	$0.787662\pi$
$710$	56.6531	+	429.629i	0.0797931	+	0.605111i
$711$	307.240	−	647.133i	0.432123	−	0.910173i
$712$	−195.099	+	471.847i	−0.274015	+	0.662706i
$713$	290.085	−	502.441i	0.406851	−	0.704686i
$714$	16.6872	+	1.51469i	0.0233714	+	0.00212142i
$715$	−271.172	−	72.6604i	−0.379262	−	0.101623i
$716$	0.300884	+	719.878i	0.000420229	+	1.00542i
$717$	−155.749	−	246.356i	−0.217223	−	0.343592i
$718$	−374.646	+	155.275i	−0.521791	+	0.216261i
$719$		−	459.316i		−	0.638827i	−0.947615	−	0.319413i	$-0.896514\pi$
$719$		−	459.316i		−	0.638827i	0.947615	−	0.319413i	$-0.103486\pi$
$720$	1301.03	+	237.590i	1.80699	+	0.329986i
$721$	6.77750			0.00940013
$722$	−397.439	−	958.935i	−0.550469	−	1.32817i
$723$	749.191	+	393.309i	1.03622	+	0.543995i
$724$	−0.132743	−	317.593i	−0.000183346	−	0.438664i
$725$	−368.413	+	1374.94i	−0.508156	+	1.89646i
$726$	−480.349	−	338.680i	−0.661638	−	0.466501i
$727$	−471.423	−	272.176i	−0.648449	−	0.374382i	0.139413	−	0.990234i	$-0.455479\pi$
$727$	−471.423	−	272.176i	−0.648449	−	0.374382i	−0.787862	+	0.615852i	$0.788812\pi$
$728$	−3.42982	−	8.26567i	−0.00471130	−	0.0113539i
$729$	−707.929	+	174.003i	−0.971097	+	0.238687i
$730$	2142.11	−	282.469i	2.93439	−	0.386944i
$731$	−692.658	+	185.597i	−0.947549	+	0.253895i
$732$	−1256.84	−	659.143i	−1.71699	−	0.900469i
$733$	−80.6004	+	300.805i	−0.109960	+	0.410375i	−0.998861	−	0.0477247i	$-0.984803\pi$
$733$	−80.6004	+	300.805i	−0.109960	+	0.410375i	0.888901	+	0.458099i	$0.151470\pi$
$734$	145.254	−	1105.10i	0.197894	−	1.50558i
$735$	401.268	+	1288.20i	0.545943	+	1.75266i
$736$	445.540	−	581.897i	0.605354	−	0.790622i
$737$			291.968i			0.396157i
$738$	−258.537	−	167.159i	−0.350322	−	0.226503i
$739$	881.931	+	881.931i	1.19341	+	1.19341i	0.976103	+	0.217309i	$0.0697280\pi$
$739$	881.931	+	881.931i	1.19341	+	1.19341i	0.217309	+	0.976103i	$0.430272\pi$
$740$	−288.244	−	77.1056i	−0.389519	−	0.104197i
$741$	302.826	+	478.995i	0.408672	+	0.646417i
$742$	−9.24475	−	12.0428i	−0.0124592	−	0.0162302i
$743$	404.698	+	700.957i	0.544681	+	0.943414i	0.998627	+	0.0523854i	$0.0166824\pi$
$743$	404.698	+	700.957i	0.544681	+	0.943414i	−0.453946	+	0.891029i	$0.649984\pi$
$744$	103.874	+	599.033i	0.139616	+	0.805152i
$745$	1634.79	+	943.848i	2.19435	+	1.26691i
$746$	−839.639	+	110.719i	−1.12552	+	0.148417i
$747$	374.712	+	1052.14i	0.501622	+	1.40848i
$748$	264.409	+	152.509i	0.353487	+	0.203889i
$749$	−1.04364	−	3.89493i	−0.00139338	−	0.00520018i
$750$	−1776.77	−	653.250i	−2.36903	−	0.870999i
$751$	−302.047	−	523.161i	−0.402193	−	0.696619i	0.591797	−	0.806087i	$-0.298419\pi$
$751$	−302.047	−	523.161i	−0.402193	−	0.696619i	−0.993990	+	0.109468i	$0.965085\pi$
$752$	414.455	−	719.244i	0.551137	−	0.956442i
$753$	−191.319	+	207.341i	−0.254075	+	0.275353i
$754$	−282.154	+	116.941i	−0.374209	+	0.155094i
$755$	−42.8703	+	42.8703i	−0.0567818	+	0.0567818i
$756$	7.08533	+	17.6000i	0.00937213	+	0.0232805i
$757$	−119.189	+	119.189i	−0.157449	+	0.157449i	−0.781435	−	0.623986i	$-0.785512\pi$
$757$	−119.189	+	119.189i	−0.157449	+	0.157449i	0.623986	+	0.781435i	$0.285512\pi$
$758$	−105.464	+	254.763i	−0.139134	+	0.336099i
$759$	223.663	−	242.394i	0.294681	−	0.319360i
$760$	285.855	+	2160.82i	0.376125	+	2.84318i
$761$	−397.907	−	689.195i	−0.522873	−	0.905643i	−0.999646	−	0.0266165i	$-0.991527\pi$
$761$	−397.907	−	689.195i	−0.522873	−	0.905643i	0.476772	−	0.879027i	$-0.341807\pi$
$762$	282.050	+	610.035i	0.370144	+	0.800571i
$763$	6.91349	+	25.8015i	0.00906094	+	0.0338159i
$764$	−1230.60	+	330.289i	−1.61073	+	0.432315i
$765$	1292.44	+	237.137i	1.68947	+	0.309983i
$766$	321.001	−	418.517i	0.419061	−	0.546367i
$767$	−462.753	−	267.171i	−0.603329	−	0.348332i
$768$	32.1244	+	767.328i	0.0418286	+	0.999125i
$769$	49.5686	+	85.8554i	0.0644585	+	0.111645i	0.896454	−	0.443137i	$-0.146135\pi$
$769$	49.5686	+	85.8554i	0.0644585	+	0.111645i	−0.831995	+	0.554783i	$0.812801\pi$
$770$	2.01867	−	15.3581i	0.00262164	−	0.0199456i
$771$	201.590	+	318.866i	0.261466	+	0.413574i
$772$	−930.104	−	248.804i	−1.20480	−	0.322285i
$773$	−190.834	−	190.834i	−0.246874	−	0.246874i	0.572813	−	0.819686i	$-0.305852\pi$
$773$	−190.834	−	190.834i	−0.246874	−	0.246874i	−0.819686	+	0.572813i	$0.805852\pi$
$774$	−544.523	−	602.319i	−0.703518	−	0.778190i
$775$		−	1503.54i		−	1.94005i
$776$	63.9283	+	83.2049i	0.0823818	+	0.107223i
$777$	−1.27299	−	4.08673i	−0.00163834	−	0.00525962i
$778$	−1117.88	+	858.148i	−1.43686	+	1.10302i
$779$	131.322	−	490.099i	0.168577	−	0.629139i
$780$	−208.994	−	669.955i	−0.267942	−	0.858917i
$781$	−109.389	+	29.3106i	−0.140062	+	0.0375296i
$782$	443.148	−	577.772i	0.566686	−	0.738839i
$783$	600.785	−	241.569i	0.767286	−	0.308518i
$784$	−678.209	+	392.320i	−0.865062	+	0.500408i
$785$	−1046.01	−	603.917i	−1.33250	−	0.769321i
$786$	195.185	+	1128.41i	0.248326	+	1.43564i
$787$	−132.736	+	495.376i	−0.168660	+	0.629449i	0.828885	+	0.559419i	$0.188976\pi$
$787$	−132.736	+	495.376i	−0.168660	+	0.629449i	−0.997545	+	0.0700291i	$0.977691\pi$
$788$	665.595	−	0.278196i	0.844664	−	0.000353040i
$789$	827.412	+	434.373i	1.04868	+	0.550536i
$790$	−1350.90	−	559.231i	−1.71000	−	0.707888i
$791$	−23.5699			−0.0297975
$792$	−17.2515	+	345.193i	−0.0217822	+	0.435850i
$793$			753.080i			0.949659i
$794$	−1299.09	−	537.781i	−1.63613	−	0.677306i
$795$	−636.226	−	1006.35i	−0.800284	−	1.26585i
$796$	108.198	+	108.108i	0.135928	+	0.135814i
$797$	218.040	+	58.4235i	0.273575	+	0.0733043i	0.392998	−	0.919539i	$-0.371438\pi$
$797$	218.040	+	58.4235i	0.273575	+	0.0733043i	−0.119423	+	0.992843i	$0.538104\pi$
$798$	−24.0181	+	20.0207i	−0.0300978	+	0.0250886i
$799$	412.377	−	714.259i	0.516117	−	0.893941i
$800$	245.939	−	1883.30i	0.307424	−	2.35412i
$801$	−572.562	+	46.0976i	−0.714809	+	0.0575501i
$802$	194.895	−	254.102i	0.243011	−	0.316835i
$803$	146.141	+	545.406i	0.181994	+	0.679211i
$804$	−616.756	+	390.281i	−0.767109	+	0.485424i
$805$	−35.6928	−	9.56386i	−0.0443389	−	0.0118806i
$806$	255.906	−	196.448i	0.317501	−	0.243733i
$807$	23.4006	+	21.5923i	0.0289971	+	0.0267563i
$808$	−70.8359	+	540.671i	−0.0876682	+	0.669147i
$809$	−741.626			−0.916719			−0.458360	−	0.888767i	$-0.651563\pi$
$809$	−741.626			−0.916719			−0.458360	+	0.888767i	$0.651563\pi$
$810$	428.003	+	1424.98i	0.528399	+	1.75923i
$811$	−430.581	+	430.581i	−0.530926	+	0.530926i	−0.920848	−	0.389922i	$-0.872502\pi$
$811$	−430.581	+	430.581i	−0.530926	+	0.530926i	0.389922	+	0.920848i	$0.372502\pi$
$812$	−8.43232	−	14.5911i	−0.0103846	−	0.0179694i
$813$	−10.8362	−	269.621i	−0.0133287	−	0.331637i
$814$	10.1617	−	77.3108i	0.0124837	−	0.0949765i
$815$	−0.960362	+	0.554465i	−0.00117836	+	0.000680325i
$816$	31.2797	+	762.403i	0.0383330	+	0.934317i
$817$	669.087	−	1158.89i	0.818956	−	1.41847i
$818$	205.643	−	268.115i	0.251397	−	0.327768i
$819$	6.52464	−	7.66724i	0.00796659	−	0.00936171i
$820$	−313.949	+	544.302i	−0.382865	+	0.663782i
$821$	−137.235	+	36.7720i	−0.167156	+	0.0447893i	−0.341426	−	0.939909i	$-0.610910\pi$
$821$	−137.235	+	36.7720i	−0.167156	+	0.0447893i	0.174270	+	0.984698i	$0.444243\pi$
$822$	231.792	+	21.0397i	0.281985	+	0.0255957i
$823$	−416.535	+	240.487i	−0.506118	+	0.292207i	−0.731236	−	0.682124i	$-0.761056\pi$
$823$	−416.535	+	240.487i	−0.506118	+	0.292207i	0.225119	+	0.974331i	$0.427723\pi$
$824$	40.4776	+	305.976i	0.0491233	+	0.371330i
$825$	187.889	−	833.833i	0.227745	−	1.01071i
$826$	11.2770	−	27.2412i	0.0136526	−	0.0329797i
$827$	−775.452	−	775.452i	−0.937669	−	0.937669i	0.0604994	−	0.998168i	$-0.480731\pi$
$827$	−775.452	−	775.452i	−0.937669	−	0.937669i	−0.998168	+	0.0604994i	$0.980731\pi$
$828$	811.013	+	148.454i	0.979484	+	0.179293i
$829$	−208.477	−	208.477i	−0.251480	−	0.251480i	0.570097	−	0.821577i	$-0.306906\pi$
$829$	−208.477	−	208.477i	−0.251480	−	0.251480i	−0.821577	+	0.570097i	$0.806906\pi$
$830$	2105.80	−	872.768i	2.53711	−	1.05153i
$831$	696.356	−	216.911i	0.837974	−	0.261024i
$832$	352.676	−	204.208i	0.423890	−	0.245442i
$833$	−674.158	+	389.225i	−0.809313	+	0.467257i
$834$	56.9250	+	329.099i	0.0682554	+	0.394603i
$835$	−1567.06	+	419.892i	−1.87671	+	0.502864i
$836$	−550.139	+	147.656i	−0.658061	+	0.176622i
$837$	−546.927	+	410.712i	−0.653438	+	0.490696i
$838$	597.889	−	78.8407i	0.713471	−	0.0940820i
$839$	619.928	−	1073.75i	0.738889	−	1.27979i	−0.214107	−	0.976810i	$-0.568684\pi$
$839$	619.928	−	1073.75i	0.738889	−	1.27979i	0.952996	−	0.302983i	$-0.0979826\pi$
$840$	35.1410	−	16.2653i	0.0418345	−	0.0193634i
$841$	230.216	−	132.915i	0.273741	−	0.158044i
$842$	683.813	+	890.777i	0.812129	+	1.05793i
$843$	213.300	+	111.978i	0.253025	+	0.132833i
$844$	186.161	+	322.129i	0.220570	+	0.381670i
$845$	834.216	−	834.216i	0.987237	−	0.987237i
$846$	932.692	+	47.0034i	1.10247	+	0.0555596i
$847$	−17.2084			−0.0203168
$848$	488.468	−	489.285i	0.576024	−	0.576987i
$849$	85.3481	−	378.766i	0.100528	−	0.446132i
$850$	245.916	−	1870.94i	0.289313	−	2.20111i
$851$	−179.673	−	48.1433i	−0.211132	−	0.0565727i
$852$	−208.139	−	191.894i	−0.244295	−	0.225228i
$853$	−119.587	−	446.306i	−0.140196	−	0.523219i	−0.999922	−	0.0124637i	$-0.996033\pi$
$853$	−119.587	−	446.306i	−0.140196	−	0.523219i	0.859726	−	0.510755i	$-0.170634\pi$
$854$	−41.1958	+	5.43228i	−0.0482386	+	0.00636099i
$855$	−2018.34	+	1392.51i	−2.36063	+	1.62867i
$856$	169.607	−	70.3781i	0.198139	−	0.0822174i
$857$	136.676	−	236.730i	0.159482	−	0.276231i	−0.775200	−	0.631716i	$-0.782351\pi$
$857$	136.676	−	236.730i	0.159482	−	0.276231i	0.934682	+	0.355485i	$0.115684\pi$
$858$	166.470	−	76.9674i	0.194021	−	0.0897056i
$859$	1319.04	+	353.436i	1.53555	+	0.411450i	0.924826	−	0.380391i	$-0.124210\pi$
$859$	1319.04	+	353.436i	1.53555	+	0.411450i	0.610727	+	0.791841i	$0.290877\pi$
$860$	−1171.33	+	1172.31i	−1.36201	+	1.36315i
$861$	−9.00680	+	0.361988i	−0.0104609	+	0.000420428i
$862$	187.928	+	453.430i	0.218014	+	0.526021i
$863$		−	1219.35i		−	1.41291i	−0.707756	−	0.706457i	$-0.750292\pi$
$863$		−	1219.35i		−	1.41291i	0.707756	−	0.706457i	$-0.249708\pi$
$864$	−752.252	+	424.987i	−0.870661	+	0.491883i
$865$	282.123			0.326154
$866$	388.590	−	161.054i	0.448718	−	0.185975i
$867$	−4.37241	−	108.792i	−0.00504314	−	0.125481i
$868$	12.5923	+	12.5818i	0.0145072	+	0.0144951i
$869$	98.8916	−	369.068i	0.113799	−	0.424705i
$870$	−554.629	−	1199.58i	−0.637504	−	1.37883i
$871$	335.408	+	193.648i	0.385084	+	0.222328i
$872$	−1123.54	+	466.211i	−1.28846	+	0.534646i
$873$	−50.6276	+	106.636i	−0.0579926	+	0.122149i
$874$	177.641	+	1347.14i	0.203251	+	1.54136i
$875$	−53.5378	+	14.3454i	−0.0611860	+	0.0163947i
$876$	−956.772	+	1037.77i	−1.09221	+	1.18467i
$877$	−156.667	+	584.688i	−0.178639	+	0.666691i	0.817264	+	0.576264i	$0.195490\pi$
$877$	−156.667	+	584.688i	−0.178639	+	0.666691i	−0.995903	+	0.0904270i	$0.971177\pi$
$878$	−602.552	−	79.1994i	−0.686278	−	0.0902043i
$879$	62.6299	+	14.1125i	0.0712513	+	0.0160552i
$880$	705.409	−	0.589673i	0.801602	−	0.000670084i
$881$			893.764i			1.01449i	0.861802	+	0.507244i	$0.169336\pi$
$881$			893.764i			1.01449i	−0.861802	+	0.507244i	$0.830664\pi$
$882$	−740.204	−	478.584i	−0.839233	−	0.542613i
$883$	−779.479	−	779.479i	−0.882762	−	0.882762i	0.111052	−	0.993815i	$-0.464578\pi$
$883$	−779.479	−	779.479i	−0.882762	−	0.882762i	−0.993815	+	0.111052i	$0.964578\pi$
$884$	350.570	−	202.597i	0.396572	−	0.229182i
$885$	1074.71	−	2047.16i	1.21437	−	2.31318i
$886$	473.529	−	363.509i	0.534457	−	0.410281i
$887$	395.195	+	684.498i	0.445541	+	0.771700i	0.998090	−	0.0617808i	$-0.0196780\pi$
$887$	395.195	+	684.498i	0.445541	+	0.771700i	−0.552549	+	0.833481i	$0.686345\pi$
$888$	176.896	−	81.8776i	0.199207	−	0.0922045i
$889$	17.0415	+	9.83890i	0.0191693	+	0.0110674i
$890$	153.267	+	1162.30i	0.172210	+	1.30596i
$891$	−354.640	+	159.427i	−0.398025	+	0.178930i
$892$	50.7352	+	189.030i	0.0568780	+	0.211917i
$893$	398.344	+	1486.64i	0.446074	+	1.66477i
$894$	−1215.16	+	210.188i	−1.35924	+	0.235110i
$895$	826.453	+	1431.46i	0.923412	+	1.59940i
$896$	13.7148	+	17.8194i	0.0153067	+	0.0198877i
$897$	−130.114	−	417.710i	−0.145055	−	0.465674i
$898$	−180.894	−	436.458i	−0.201440	−	0.486033i
$899$	429.592	−	429.592i	0.477855	−	0.477855i
$900$	2012.56	−	717.707i	2.23617	−	0.797452i
$901$	485.722	−	485.722i	0.539092	−	0.539092i
$902$	−151.722	−	62.8083i	−0.168206	−	0.0696322i
$903$	−23.1920	−	5.22590i	−0.0256833	−	0.00578727i
$904$	−140.768	−	1064.08i	−0.155716	−	1.17708i
$905$	−364.611	−	631.526i	−0.402886	−	0.697818i
$906$	3.58041	−	39.4449i	0.00395189	−	0.0435374i
$907$	374.023	+	1395.87i	0.412374	+	1.53900i	0.790039	+	0.613057i	$0.210060\pi$
$907$	374.023	+	1395.87i	0.412374	+	1.53900i	−0.377665	+	0.925942i	$0.623273\pi$
$908$	−96.3466	−	55.5721i	−0.106109	−	0.0612027i
$909$	−577.897	+	205.814i	−0.635750	+	0.226418i
$910$	−16.3043	−	12.5053i	−0.0179168	−	0.0137421i
$911$	−10.6128	−	6.12728i	−0.0116496	−	0.00672588i	0.494164	−	0.869369i	$-0.335474\pi$
$911$	−10.6128	−	6.12728i	−0.0116496	−	0.00672588i	−0.505813	+	0.862643i	$0.668808\pi$
$912$	−1047.29	−	964.745i	−1.14835	−	1.05783i
$913$	297.853	+	515.897i	0.326236	+	0.565057i
$914$	548.683	+	72.1188i	0.600309	+	0.0789046i
$915$	−3255.98	+	130.859i	−3.55844	+	0.143016i
$916$	−623.564	+	360.363i	−0.680747	+	0.393409i
$917$	23.7088	+	23.7088i	0.0258547	+	0.0258547i
$918$	−747.750	+	421.619i	−0.814542	+	0.459280i
$919$		−	132.904i		−	0.144618i	−0.997382	−	0.0723090i	$-0.976963\pi$
$919$		−	132.904i		−	0.144618i	0.997382	−	0.0723090i	$-0.0230368\pi$
$920$	218.598	−	1668.50i	0.237606	−	1.81359i
$921$	336.871	−	365.083i	0.365767	−	0.396398i
$922$	−58.6369	−	76.3841i	−0.0635975	−	0.0828460i
$923$	−38.8807	+	145.105i	−0.0421243	+	0.157210i
$924$	5.41117	+	8.55121i	0.00585624	+	0.00925455i
$925$	−465.632	+	124.766i	−0.503386	+	0.134882i
$926$	1332.43	+	1021.96i	1.43890	+	1.10363i
$927$	−285.800	+	197.183i	−0.308307	+	0.212711i
$928$	608.367	−	467.827i	0.655568	−	0.504124i
$929$	1081.41	+	624.350i	1.16405	+	0.672066i	0.952272	−	0.305251i	$-0.0987402\pi$
$929$	1081.41	+	624.350i	1.16405	+	0.672066i	0.211781	+	0.977317i	$0.432074\pi$
$930$	893.821	+	1072.28i	0.961098	+	1.15299i
$931$	375.980	−	1403.17i	0.403845	−	1.50717i
$932$	813.166	−	813.846i	0.872495	−	0.873225i
$933$	105.365	−	66.6128i	0.112931	−	0.0713964i
$934$	581.988	−	1405.87i	0.623114	−	1.50522i
$935$	700.858			0.749580
$936$	385.111	+	248.769i	0.411444	+	0.265778i
$937$			454.483i			0.485040i	0.970146	+	0.242520i	$0.0779740\pi$
$937$			454.483i			0.485040i	−0.970146	+	0.242520i	$0.922026\pi$
$938$	−8.17370	+	19.7447i	−0.00871396	+	0.0210498i
$939$	−416.709	+	793.764i	−0.443779	+	0.845329i
$940$	−0.796648	−	1906.01i	−0.000847498	−	2.02767i
$941$	301.819	+	80.8721i	0.320743	+	0.0859427i	0.415598	−	0.909548i	$-0.363572\pi$
$941$	301.819	+	80.8721i	0.320743	+	0.0859427i	−0.0948556	+	0.995491i	$0.530239\pi$
$942$	777.512	−	134.488i	0.825384	−	0.142769i
$943$	−195.860	+	339.240i	−0.207699	+	0.359746i
$944$	1297.18	+	346.416i	1.37413	+	0.366966i
$945$	34.2834	+	26.8773i	0.0362788	+	0.0284416i
$946$	−343.641	−	263.571i	−0.363257	−	0.278616i
$947$	166.412	+	621.057i	0.175725	+	0.655816i	0.996427	+	0.0844587i	$0.0269161\pi$
$947$	166.412	+	621.057i	0.175725	+	0.655816i	−0.820702	+	0.571357i	$0.806417\pi$
$948$	911.815	−	284.443i	0.961831	−	0.300046i
$949$	723.484	+	193.857i	0.762364	+	0.204275i
$950$	2144.28	+	2793.27i	2.25714	+	2.94029i
$951$	841.440	−	262.104i	0.884795	−	0.275609i
$952$	13.6115	+	17.7158i	0.0142978	+	0.0186091i
$953$	−616.560			−0.646968			−0.323484	−	0.946234i	$-0.604854\pi$
$953$	−616.560			−0.646968			−0.323484	+	0.946234i	$0.604854\pi$
$954$	740.211	+	238.868i	0.775903	+	0.250386i
$955$	−2068.69	+	2068.69i	−2.16617	+	2.16617i
$956$	100.424	−	375.413i	0.105046	−	0.392692i
$957$	291.927	−	184.560i	0.305044	−	0.192852i
$958$	−1590.33	−	209.033i	−1.66006	−	0.218198i
$959$	5.90152	−	3.40724i	0.00615383	−	0.00355291i
$960$	944.185	+	1489.33i	0.983526	+	1.55138i
$961$	159.640	−	276.505i	0.166119	−	0.287726i
$962$	−82.0738	−	62.9502i	−0.0853158	−	0.0654368i
$963$	157.328	+	133.882i	0.163372	+	0.139026i
$964$	292.457	+	1089.64i	0.303378	+	1.13033i
$965$	−2135.37	+	572.170i	−2.21282	+	0.592922i
$966$	21.9114	−	10.1308i	0.0226826	−	0.0104873i
$967$	−65.1680	+	37.6248i	−0.0673919	+	0.0389088i	−0.533317	−	0.845915i	$-0.679055\pi$
$967$	−65.1680	+	37.6248i	−0.0673919	+	0.0389088i	0.465925	+	0.884824i	$0.345722\pi$
$968$	−102.774	−	776.886i	−0.106172	−	0.802568i
$969$	−1039.73	−	959.389i	−1.07300	−	0.990082i
$970$	222.604	+	92.1513i	0.229489	+	0.0950013i
$971$	−1307.92	−	1307.92i	−1.34698	−	1.34698i	−0.888920	−	0.458063i	$-0.848543\pi$
$971$	−1307.92	−	1307.92i	−1.34698	−	1.34698i	−0.458063	−	0.888920i	$-0.651457\pi$
$972$	−810.832	−	536.037i	−0.834189	−	0.551478i
$973$	6.91460	+	6.91460i	0.00710647	+	0.00710647i
$974$	−22.3799	−	53.9981i	−0.0229774	−	0.0554395i
$975$	−833.278	−	768.886i	−0.854644	−	0.788601i
$976$	−491.281	−	1827.37i	−0.503361	−	1.87231i
$977$	181.690	−	104.899i	0.185967	−	0.107368i	−0.404126	−	0.914703i	$-0.632424\pi$
$977$	181.690	−	104.899i	0.185967	−	0.107368i	0.590093	+	0.807335i	$0.299091\pi$
$978$	0.249990	−	0.679946i	0.000255613	−	0.000695241i
$979$	−295.937	+	79.2960i	−0.302285	+	0.0809969i
$980$	−898.851	+	1558.36i	−0.917195	+	1.59016i
$981$	−1042.20	−	886.885i	−1.06238	−	0.904062i
$982$	−127.953	−	970.330i	−0.130298	−	0.988117i
$983$	−669.719	+	1159.99i	−0.681301	+	1.18005i	0.293283	+	0.956026i	$0.405252\pi$
$983$	−669.719	+	1159.99i	−0.681301	+	1.18005i	−0.974584	+	0.224022i	$0.928081\pi$
$984$	−70.1341	−	404.457i	−0.0712745	−	0.411034i
$985$	1323.52	−	764.134i	1.34367	−	0.775771i
$986$	604.830	−	464.303i	0.613418	−	0.470896i
$987$	23.1114	−	14.6113i	0.0234158	−	0.0148037i
$988$	−195.256	+	729.925i	−0.197627	+	0.738791i
$989$	−730.523	+	730.523i	−0.738648	+	0.738648i
$990$	361.699	+	706.366i	0.365352	+	0.713501i
$991$	1019.55			1.02881			0.514404	−	0.857548i	$-0.328013\pi$
$991$	1019.55			1.02881			0.514404	+	0.857548i	$0.328013\pi$
$992$	−492.808	+	643.631i	−0.496782	+	0.648822i
$993$	427.518	−	133.169i	0.430532	−	0.134108i
$994$	−8.21813	−	1.08019i	−0.00826774	−	0.00108671i
$995$	339.225	+	90.8951i	0.340930	+	0.0913518i
$996$	−691.639	+	1318.80i	−0.694417	+	1.32410i
$997$	6.61619	+	24.6920i	0.00663610	+	0.0247663i	0.969164	−	0.246415i	$-0.0792525\pi$
$997$	6.61619	+	24.6920i	0.00663610	+	0.0247663i	−0.962528	+	0.271181i	$0.912586\pi$
$998$	115.863	+	878.648i	0.116095	+	0.880409i
$999$	172.579	+	135.297i	0.172752	+	0.135433i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	144.3.w.a.29.6	yes	184
3.2	odd	2		432.3.x.a.413.41		184
9.4	even	3		432.3.x.a.125.25		184
9.5	odd	6	inner	144.3.w.a.77.22	yes	184
16.5	even	4	inner	144.3.w.a.101.22	yes	184
48.5	odd	4		432.3.x.a.197.25		184
144.5	odd	12	inner	144.3.w.a.5.6	✓	184
144.85	even	12		432.3.x.a.341.41		184

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
144.3.w.a.5.6	✓	184	144.5	odd	12	inner
144.3.w.a.29.6	yes	184	1.1	even	1	trivial
144.3.w.a.77.22	yes	184	9.5	odd	6	inner
144.3.w.a.101.22	yes	184	16.5	even	4	inner
432.3.x.a.125.25		184	9.4	even	3
432.3.x.a.197.25		184	48.5	odd	4
432.3.x.a.341.41		184	144.85	even	12
432.3.x.a.413.41		184	3.2	odd	2

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 144 = 2^{4} \cdot 3^{2} \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	144.w (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.84760 + 0.765753i) q^{2} +(-0.120474 - 2.99758i) q^{3} +(2.82724 - 2.82961i) q^{4} +(2.37709 - 8.87143i) q^{5} +(2.51799 + 5.44607i) q^{6} +(0.152137 + 0.0878365i) q^{7} +(-3.05683 + 7.39295i) q^{8} +(-8.97097 + 0.722263i) q^{9} +O(q^{10})\)	\(q+(-1.84760 + 0.765753i) q^{2} +(-0.120474 - 2.99758i) q^{3} +(2.82724 - 2.82961i) q^{4} +(2.37709 - 8.87143i) q^{5} +(2.51799 + 5.44607i) q^{6} +(0.152137 + 0.0878365i) q^{7} +(-3.05683 + 7.39295i) q^{8} +(-8.97097 + 0.722263i) q^{9} +(2.40141 + 18.2111i) q^{10} +(-4.63677 + 1.24242i) q^{11} +(-8.82259 - 8.13400i) q^{12} +(-1.64807 + 6.15069i) q^{13} +(-0.348350 - 0.0457871i) q^{14} +(-26.8792 - 6.05674i) q^{15} +(-0.0133749 - 16.0000i) q^{16} -15.8968i q^{17} +(16.0217 - 8.20400i) q^{18} +(20.9764 + 20.9764i) q^{19} +(-18.3820 - 31.8079i) q^{20} +(0.244968 - 0.466626i) q^{21} +(7.61551 - 5.84611i) q^{22} +(-11.4512 - 19.8341i) q^{23} +(22.5292 + 8.27244i) q^{24} +(-51.4010 - 29.6764i) q^{25} +(-1.66493 - 12.6260i) q^{26} +(3.24581 + 26.8042i) q^{27} +(0.678673 - 0.182154i) q^{28} +(-6.20718 - 23.1655i) q^{29} +(54.2999 - 9.39239i) q^{30} +(12.6661 + 21.9383i) q^{31} +(12.2768 + 29.5513i) q^{32} +(4.28286 + 13.7494i) q^{33} +(12.1730 + 29.3708i) q^{34} +(1.14088 - 1.14088i) q^{35} +(-23.3194 + 27.4264i) q^{36} +(5.74306 - 5.74306i) q^{37} +(-54.8187 - 22.6932i) q^{38} +(18.6357 + 4.19923i) q^{39} +(58.3197 + 44.6922i) q^{40} +(-8.55194 - 14.8124i) q^{41} +(-0.0952832 + 1.04972i) q^{42} +(-11.6752 - 43.5723i) q^{43} +(-9.59372 + 16.6329i) q^{44} +(-14.9173 + 81.3022i) q^{45} +(36.3453 + 27.8767i) q^{46} +(44.9311 + 25.9410i) q^{47} +(-47.9597 + 1.96768i) q^{48} +(-24.4846 - 42.4085i) q^{49} +(117.693 + 15.4696i) q^{50} +(-47.6518 + 1.91515i) q^{51} +(12.7446 + 22.0529i) q^{52} +(30.5548 + 30.5548i) q^{53} +(-26.5224 - 47.0379i) q^{54} +44.0881i q^{55} +(-1.11443 + 0.856243i) q^{56} +(60.3513 - 65.4055i) q^{57} +(29.2074 + 38.0474i) q^{58} +(-21.7187 + 81.0555i) q^{59} +(-93.1323 + 58.9337i) q^{60} +(114.236 - 30.6095i) q^{61} +(-40.2012 - 30.8341i) q^{62} +(-1.42826 - 0.678096i) q^{63} +(-45.3115 - 45.1981i) q^{64} +(50.6478 + 29.2415i) q^{65} +(-18.4417 - 22.1238i) q^{66} +(15.7420 - 58.7498i) q^{67} +(-44.9816 - 44.9440i) q^{68} +(-58.0747 + 36.7155i) q^{69} +(-1.23426 + 2.98152i) q^{70} +23.5916 q^{71} +(22.0831 - 68.5298i) q^{72} -117.626i q^{73} +(-6.21310 + 15.0086i) q^{74} +(-82.7648 + 157.654i) q^{75} +(118.660 - 0.0495959i) q^{76} +(-0.814556 - 0.218260i) q^{77} +(-37.6470 + 6.51188i) q^{78} +(-39.7980 + 68.9322i) q^{79} +(-141.975 - 37.9148i) q^{80} +(79.9567 - 12.9588i) q^{81} +(27.1432 + 20.8187i) q^{82} +(-32.1186 - 119.868i) q^{83} +(-0.627783 - 2.01243i) q^{84} +(-141.027 - 37.7880i) q^{85} +(54.9367 + 71.5639i) q^{86} +(-68.6926 + 21.3974i) q^{87} +(4.98869 - 38.0773i) q^{88} +63.8239 q^{89} +(-34.6962 - 161.637i) q^{90} +(-0.790989 + 0.790989i) q^{91} +(-88.4982 - 23.6734i) q^{92} +(64.2359 - 40.6106i) q^{93} +(-102.879 - 13.5224i) q^{94} +(235.953 - 136.228i) q^{95} +(87.1035 - 40.3607i) q^{96} +(6.55800 - 11.3588i) q^{97} +(77.7121 + 59.6048i) q^{98} +(40.6990 - 14.4947i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 184 q - 6 q^{2} - 4 q^{3} - 2 q^{4} - 6 q^{5} - 10 q^{6}+O(q^{10}) \) 184 * q - 6 * q^2 - 4 * q^3 - 2 * q^4 - 6 * q^5 - 10 * q^6	\( 184 q - 6 q^{2} - 4 q^{3} - 2 q^{4} - 6 q^{5} - 10 q^{6} - 8 q^{10} - 6 q^{11} - 64 q^{12} - 2 q^{13} - 6 q^{14} - 8 q^{15} - 2 q^{16} + 54 q^{18} - 8 q^{19} + 120 q^{20} - 22 q^{21} - 2 q^{22} - 160 q^{24} + 44 q^{27} - 72 q^{28} - 6 q^{29} - 90 q^{30} - 4 q^{31} - 6 q^{32} - 8 q^{33} + 6 q^{34} - 202 q^{36} - 8 q^{37} - 6 q^{38} - 2 q^{40} + 44 q^{42} - 2 q^{43} + 46 q^{45} - 160 q^{46} - 12 q^{47} - 118 q^{48} + 472 q^{49} + 228 q^{50} - 48 q^{51} - 2 q^{52} + 206 q^{54} - 300 q^{56} - 92 q^{58} - 438 q^{59} - 90 q^{60} - 2 q^{61} - 204 q^{63} + 244 q^{64} - 12 q^{65} - 508 q^{66} - 2 q^{67} - 144 q^{68} + 14 q^{69} + 96 q^{70} + 6 q^{72} + 246 q^{74} + 152 q^{75} - 158 q^{76} - 6 q^{77} + 304 q^{78} - 4 q^{79} - 8 q^{81} - 388 q^{82} - 726 q^{83} + 542 q^{84} + 48 q^{85} + 894 q^{86} + 22 q^{88} - 528 q^{90} - 204 q^{91} - 348 q^{92} + 62 q^{93} - 18 q^{94} - 12 q^{95} + 262 q^{96} - 4 q^{97} + 286 q^{99}+O(q^{100}) \) 184 * q - 6 * q^2 - 4 * q^3 - 2 * q^4 - 6 * q^5 - 10 * q^6 - 8 * q^10 - 6 * q^11 - 64 * q^12 - 2 * q^13 - 6 * q^14 - 8 * q^15 - 2 * q^16 + 54 * q^18 - 8 * q^19 + 120 * q^20 - 22 * q^21 - 2 * q^22 - 160 * q^24 + 44 * q^27 - 72 * q^28 - 6 * q^29 - 90 * q^30 - 4 * q^31 - 6 * q^32 - 8 * q^33 + 6 * q^34 - 202 * q^36 - 8 * q^37 - 6 * q^38 - 2 * q^40 + 44 * q^42 - 2 * q^43 + 46 * q^45 - 160 * q^46 - 12 * q^47 - 118 * q^48 + 472 * q^49 + 228 * q^50 - 48 * q^51 - 2 * q^52 + 206 * q^54 - 300 * q^56 - 92 * q^58 - 438 * q^59 - 90 * q^60 - 2 * q^61 - 204 * q^63 + 244 * q^64 - 12 * q^65 - 508 * q^66 - 2 * q^67 - 144 * q^68 + 14 * q^69 + 96 * q^70 + 6 * q^72 + 246 * q^74 + 152 * q^75 - 158 * q^76 - 6 * q^77 + 304 * q^78 - 4 * q^79 - 8 * q^81 - 388 * q^82 - 726 * q^83 + 542 * q^84 + 48 * q^85 + 894 * q^86 + 22 * q^88 - 528 * q^90 - 204 * q^91 - 348 * q^92 + 62 * q^93 - 18 * q^94 - 12 * q^95 + 262 * q^96 - 4 * q^97 + 286 * q^99

Introduction

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