LMFDB - Embedded newform 144.3.w.a.5.6

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			5.6
Character	$\chi$	$=$	144.5
Dual form			144.3.w.a.29.6

$q$-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 $\left(\mathbb{Z}/144\mathbb{Z}\right)^\times$.

$n$	$37$	$65$	$127$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{5}{6}\right)$	$1$

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	0.619796	+	0.784763i	$0.287215\pi$
$5$	2.37709	+	8.87143i	0.475418	+	1.77429i	−0.144378	+	0.989523i	$0.546118\pi$
$6$	2.51799	−	5.44607i	0.419666	−	0.907679i
$7$	0.152137	−	0.0878365i	0.0217339	−	0.0125481i	−0.489094	−	0.872231i	$-0.662672\pi$
$7$	0.152137	−	0.0878365i	0.0217339	−	0.0125481i	0.510828	+	0.859683i	$0.329339\pi$
$8$	−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	0.0418205	−	0.999125i	$-0.486684\pi$
$11$	−4.63677	−	1.24242i	−0.421525	−	0.112947i	−0.463345	+	0.886178i	$0.653351\pi$
$12$	−8.82259	+	8.13400i	−0.735216	+	0.677833i
$13$	−1.64807	−	6.15069i	−0.126775	−	0.473130i	0.873122	−	0.487502i	$-0.162092\pi$
$13$	−1.64807	−	6.15069i	−0.126775	−	0.473130i	−0.999897	+	0.0143717i	$0.995425\pi$
$14$	−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	$0.154864\pi$
$17$			15.8968i			0.935103i	−0.883966	+	0.467552i	$0.845136\pi$
$18$	16.0217	+	8.20400i	0.890094	+	0.455778i
$19$	20.9764	−	20.9764i	1.10402	−	1.10402i	0.110099	−	0.993921i	$-0.464883\pi$
$19$	20.9764	−	20.9764i	1.10402	−	1.10402i	0.993921	−	0.110099i	$-0.0351169\pi$
$20$	−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	−0.999997	−	0.00244693i	$-0.999221\pi$
$23$	−11.4512	+	19.8341i	−0.497879	+	0.862352i	0.502118	+	0.864799i	$0.332554\pi$
$24$	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	0.772462	+	0.635062i	$0.219025\pi$
$29$	−6.20718	+	23.1655i	−0.214041	+	0.798810i	−0.986502	+	0.163749i	$0.947641\pi$
$30$	54.2999	+	9.39239i	1.81000	+	0.313080i
$31$	12.6661	−	21.9383i	0.408584	−	0.707688i	−0.586148	−	0.810204i	$-0.699356\pi$
$31$	12.6661	−	21.9383i	0.408584	−	0.707688i	0.994731	+	0.102516i	$0.0326894\pi$
$32$	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	0.780444	−	0.625226i	$-0.214993\pi$
$37$	5.74306	+	5.74306i	0.155218	+	0.155218i	−0.625226	+	0.780444i	$0.714993\pi$
$38$	−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	−0.951269	−	0.308363i	$-0.900219\pi$
$41$	−8.55194	+	14.8124i	−0.208584	+	0.361278i	0.742685	+	0.669641i	$0.233552\pi$
$42$	−0.0952832	−	1.04972i	−0.00226865	−	0.0249934i
$43$	−11.6752	+	43.5723i	−0.271515	+	1.01331i	0.686625	+	0.727012i	$0.259091\pi$
$43$	−11.6752	+	43.5723i	−0.271515	+	1.01331i	−0.958141	+	0.286298i	$0.907575\pi$
$44$	−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	0.0610472	−	0.998135i	$-0.480556\pi$
$47$	44.9311	−	25.9410i	0.955981	−	0.551936i	0.894934	+	0.446199i	$0.147223\pi$
$48$	−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	−0.357433	−	0.933939i	$-0.616348\pi$
$53$	30.5548	−	30.5548i	0.576506	−	0.576506i	0.933939	+	0.357433i	$0.116348\pi$
$54$	−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	−0.863149	−	0.504948i	$-0.831511\pi$
$59$	−21.7187	−	81.0555i	−0.368114	−	1.37382i	0.495035	−	0.868873i	$-0.335155\pi$
$60$	−93.1323	−	58.9337i	−1.55220	−	0.982228i
$61$	114.236	+	30.6095i	1.87273	+	0.501796i	0.999905	+	0.0137580i	$0.00437944\pi$
$61$	114.236	+	30.6095i	1.87273	+	0.501796i	0.872822	+	0.488038i	$0.162287\pi$
$62$	−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	0.978169	+	0.207810i	$0.0666336\pi$
$67$	15.7420	+	58.7498i	0.234955	+	0.876863i	−0.743214	+	0.669053i	$0.766700\pi$
$68$	−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	$0.298189\pi$
$73$			117.626i			1.61132i	−0.592378	+	0.805660i	$0.701811\pi$
$74$	−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	−0.999990	−	0.00436115i	$-0.998612\pi$
$79$	−39.7980	−	68.9322i	−0.503772	−	0.872559i	0.496218	−	0.868198i	$-0.334722\pi$
$80$	−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	0.448065	+	0.894001i	$0.352113\pi$
$83$	−32.1186	+	119.868i	−0.386971	+	1.44420i	−0.835036	+	0.550195i	$0.814553\pi$
$84$	−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	0.897848	−	0.440306i	$-0.145130\pi$
$97$	6.55800	+	11.3588i	0.0676082	+	0.117101i	−0.830240	+	0.557406i	$0.811797\pi$
$98$	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	0.569574	−	0.821940i	$-0.307108\pi$
$101$	65.8389	+	17.6415i	0.651870	+	0.174668i	0.0822960	+	0.996608i	$0.473775\pi$
$102$	86.5749	+	40.0279i	0.848773	+	0.392431i
$103$	33.4114	+	19.2901i	0.324383	+	0.187282i	0.653344	−	0.757061i	$-0.273365\pi$
$103$	33.4114	+	19.2901i	0.324383	+	0.187282i	−0.328962	+	0.944343i	$0.606699\pi$
$104$	−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	−0.778872	−	0.627183i	$-0.784208\pi$
$107$	−16.2307	+	16.2307i	−0.151688	+	0.151688i	0.627183	+	0.778872i	$0.284208\pi$
$108$	85.0221	−	66.5976i	0.787242	−	0.616645i
$109$	107.518	−	107.518i	0.986404	−	0.986404i	−0.0135051	−	0.999909i	$-0.504299\pi$
$109$	107.518	−	107.518i	0.986404	−	0.986404i	0.999909	+	0.0135051i	$0.00429895\pi$
$110$	−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	−0.111776	−	0.993733i	$-0.535654\pi$
$113$	−116.194	−	67.0844i	−1.02826	−	0.593668i	−0.916486	+	0.400066i	$0.868987\pi$
$114$	−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	0.526350	−	0.850268i	$-0.323560\pi$
$131$	184.358	−	49.3987i	1.40732	−	0.377089i	0.880966	+	0.473179i	$0.156894\pi$
$132$	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	0.928089	−	0.372359i	$-0.121451\pi$
$137$	19.3954	+	33.5938i	0.141572	+	0.245210i	−0.786517	+	0.617569i	$0.788118\pi$
$138$	79.1839	+	112.306i	0.573796	+	0.813814i
$139$	53.7676	−	14.4070i	0.386817	−	0.103647i	−0.0601690	−	0.998188i	$-0.519164\pi$
$139$	53.7676	−	14.4070i	0.386817	−	0.103647i	0.446986	+	0.894541i	$0.352497\pi$
$140$	−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	−0.877923	−	0.478801i	$-0.841072\pi$
$149$	−53.1960	−	198.530i	−0.357020	−	1.33242i	0.520903	−	0.853616i	$-0.325595\pi$
$150$	32.1923	+	354.659i	0.214615	+	2.36439i
$151$	−5.71679	+	3.30059i	−0.0378595	+	0.0218582i	−0.518810	−	0.854889i	$-0.673625\pi$
$151$	−5.71679	+	3.30059i	−0.0378595	+	0.0218582i	0.480951	+	0.876748i	$0.340292\pi$
$152$	−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	0.985526	+	0.169524i	$0.0542229\pi$
$157$	34.0372	+	127.028i	0.216797	+	0.809099i	−0.768729	+	0.639575i	$0.779110\pi$
$158$	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	−0.707369	−	0.706845i	$-0.750118\pi$
$163$	−0.0853767	+	0.0853767i	−0.000523784	+	0.000523784i	0.706845	+	0.707369i	$0.250118\pi$
$164$	−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	0.470568	+	0.882363i	$0.344049\pi$
$167$	−88.3205	+	152.976i	−0.528865	+	0.916021i	−0.999433	+	0.0336575i	$0.989284\pi$
$168$	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	−0.939134	−	0.343552i	$-0.888370\pi$
$173$	7.95033	−	29.6711i	0.0459557	−	0.171509i	0.985090	+	0.172043i	$0.0550367\pi$
$174$	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	0.255795	−	0.966731i	$-0.417663\pi$
$179$	−127.258	−	127.258i	−0.710936	−	0.710936i	−0.966731	+	0.255795i	$0.917663\pi$
$180$	187.879	−	272.071i	1.04377	−	1.51151i
$181$	56.1430	+	56.1430i	0.310182	+	0.310182i	0.844980	−	0.534798i	$-0.179612\pi$
$181$	56.1430	+	56.1430i	0.310182	+	0.310182i	−0.534798	+	0.844980i	$0.679612\pi$
$182$	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	−0.998133	−	0.0610811i	$-0.980545\pi$
$191$	−275.862	+	159.269i	−1.44430	+	0.833868i	−0.446169	+	0.894949i	$0.647212\pi$
$192$	−130.026	−	141.270i	−0.677218	−	0.735782i
$193$	−120.351	+	208.454i	−0.623580	+	1.08007i	0.365234	+	0.930916i	$0.380989\pi$
$193$	−120.351	+	208.454i	−0.623580	+	1.08007i	−0.988814	+	0.149156i	$0.952344\pi$
$194$	−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	−0.342317	−	0.939585i	$-0.611212\pi$
$197$	117.662	−	117.662i	0.597267	−	0.597267i	0.939585	+	0.342317i	$0.111212\pi$
$198$	−64.0961	−	57.9457i	−0.323717	−	0.292655i
$199$		−	38.2379i		−	0.192150i	−0.995374	−	0.0960752i	$-0.969371\pi$
$199$		−	38.2379i		−	0.192150i	0.995374	−	0.0960752i	$-0.0306289\pi$
$200$	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	0.885125	−	0.465354i	$-0.154073\pi$
$211$	−24.0736	−	89.8438i	−0.114093	−	0.425800i	−0.999217	+	0.0395540i	$0.987406\pi$
$212$	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	0.805944	−	0.591992i	$-0.201658\pi$
$223$	−24.4650	−	42.3747i	−0.109709	−	0.190021i	−0.915652	+	0.401971i	$0.868325\pi$
$224$	−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	−0.979964	−	0.199173i	$-0.936174\pi$
$227$	−7.19676	+	26.8587i	−0.0317038	+	0.118320i	0.948261	+	0.317493i	$0.102841\pi$
$228$	−14.4442	+	355.688i	−0.0633517	+	1.56003i
$229$	−173.916	+	46.6006i	−0.759458	+	0.203496i	−0.617709	−	0.786407i	$-0.711939\pi$
$229$	−173.916	+	46.6006i	−0.759458	+	0.203496i	−0.141749	+	0.989903i	$0.545272\pi$
$230$	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	0.665583	−	0.746324i	$-0.268183\pi$
$239$	84.1372	+	48.5766i	0.352038	+	0.203249i	−0.313544	+	0.949574i	$0.601516\pi$
$240$	−96.5483	−	430.148i	−0.402285	−	1.79228i
$241$	−141.026	−	244.264i	−0.585169	−	1.01354i	−0.994854	−	0.101316i	$-0.967695\pi$
$241$	−141.026	−	244.264i	−0.585169	−	1.01354i	0.409685	−	0.912227i	$-0.365639\pi$
$242$	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	−0.827053	−	0.562125i	$-0.809984\pi$
$251$	−66.4969	+	66.4969i	−0.264928	+	0.264928i	0.562125	+	0.827053i	$0.309984\pi$
$252$	−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	0.272936	−	0.962032i	$-0.412005\pi$
$257$	−108.901	−	62.8742i	−0.423741	−	0.244647i	−0.696676	+	0.717385i	$0.745339\pi$
$258$	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	−0.993935	−	0.109971i	$-0.964924\pi$
$263$	−155.750	−	269.767i	−0.592205	−	1.02573i	0.401729	−	0.915758i	$-0.368409\pi$
$264$	−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	0.693020	−	0.720919i	$-0.256280\pi$
$269$	−7.50488	−	7.50488i	−0.0278992	−	0.0278992i	−0.720919	+	0.693020i	$0.756280\pi$
$270$	−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	−0.754365	−	0.656455i	$-0.772055\pi$
$277$	62.9239	−	234.835i	0.227162	−	0.847780i	0.981527	−	0.191325i	$-0.0612783\pi$
$278$	−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	0.785696	−	0.618613i	$-0.212305\pi$
$281$	−40.1511	−	69.5437i	−0.142886	−	0.247487i	−0.928582	+	0.371126i	$0.878972\pi$
$282$	−28.1402	−	310.017i	−0.0997880	−	1.09935i
$283$	125.011	−	33.4966i	0.441735	−	0.118362i	−0.0310947	−	0.999516i	$-0.509899\pi$
$283$	125.011	−	33.4966i	0.441735	−	0.118362i	0.472829	+	0.881154i	$0.343233\pi$
$284$	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	0.955830	−	0.293921i	$-0.0949602\pi$
$293$	−5.53874	−	20.6709i	−0.0189036	−	0.0705490i	−0.974733	+	0.223372i	$0.928294\pi$
$294$	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	−0.490213	−	0.871603i	$-0.663081\pi$
$307$	117.087	−	117.087i	0.381390	−	0.381390i	0.871603	+	0.490213i	$0.163081\pi$
$308$	−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	−0.830689	−	0.556737i	$-0.812053\pi$
$311$	20.7760	−	35.9850i	0.0668037	−	0.115707i	0.897493	+	0.441029i	$0.145387\pi$
$312$	−88.0111	−	124.937i	−0.282087	−	0.400439i
$313$	−258.796	+	149.416i	−0.826825	+	0.477368i	−0.852764	−	0.522296i	$-0.825076\pi$
$313$	−258.796	+	149.416i	−0.826825	+	0.477368i	0.0259390	+	0.999664i	$0.491742\pi$
$314$	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	−0.736046	−	0.676932i	$-0.763309\pi$
$317$	76.0339	−	283.762i	0.239855	−	0.895149i	0.975900	−	0.218217i	$-0.0700242\pi$
$318$	−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	−0.882699	−	0.469940i	$-0.844276\pi$
$331$	38.6312	−	144.174i	0.116711	−	0.435570i	0.999409	+	0.0343696i	$0.0109423\pi$
$332$	−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	−0.433068	−	0.901361i	$-0.642569\pi$
$337$	190.091	−	329.247i	0.564068	−	0.976994i	0.997136	−	0.0756331i	$-0.0240978\pi$
$338$	−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	−0.994995	−	0.0999256i	$-0.968140\pi$
$347$	−63.5936	−	237.334i	−0.183267	−	0.683961i	0.811728	−	0.584036i	$-0.198527\pi$
$348$	−133.665	−	254.869i	−0.384094	−	0.732382i
$349$	219.123	+	58.7139i	0.627861	+	0.168235i	0.558699	−	0.829371i	$-0.311301\pi$
$349$	219.123	+	58.7139i	0.627861	+	0.168235i	0.0691619	+	0.997605i	$0.477967\pi$
$350$	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	0.321858	−	0.946788i	$-0.395693\pi$
$353$	459.864	−	265.502i	1.30273	−	0.752131i	0.980871	+	0.194657i	$0.0623593\pi$
$354$	−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	−0.943225	−	0.332153i	$-0.892225\pi$
$367$	−278.651	−	482.637i	−0.759266	−	1.31509i	0.183959	−	0.982934i	$-0.441108\pi$
$368$	−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	0.335210	−	0.942144i	$-0.391193\pi$
$373$	409.025	−	109.598i	1.09658	−	0.293828i	0.761372	+	0.648316i	$0.224526\pi$
$374$	−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	0.823921	−	0.566704i	$-0.191782\pi$
$379$	97.4851	+	97.4851i	0.257217	+	0.257217i	−0.566704	+	0.823921i	$0.691782\pi$
$380$	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	0.171273	−	0.985224i	$-0.445212\pi$
$383$	−228.390	−	131.861i	−0.596320	−	0.344285i	−0.767592	+	0.640938i	$0.778545\pi$
$384$	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	0.984560	−	0.175049i	$-0.0560085\pi$
$389$	680.629	+	182.374i	1.74969	+	0.468828i	0.765129	+	0.643877i	$0.222675\pi$
$390$	−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	0.297367	−	0.954763i	$-0.403891\pi$
$397$	497.096	−	497.096i	1.25213	−	1.25213i	0.954763	−	0.297367i	$-0.0961086\pi$
$398$	−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	0.317032	−	0.948415i	$-0.397314\pi$
$401$	−138.667	−	80.0593i	−0.345802	−	0.199649i	−0.662835	+	0.748766i	$0.730647\pi$
$402$	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	0.310352	−	0.950622i	$-0.399553\pi$
$409$	−146.314	−	84.4742i	−0.357735	−	0.206538i	−0.668087	+	0.744083i	$0.732887\pi$
$410$	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	−0.589046	−	0.808099i	$-0.700497\pi$
$419$	−291.258	+	78.0423i	−0.695126	+	0.186258i	−0.106080	+	0.994358i	$0.533830\pi$
$420$	−19.3454	−	0.785602i	−0.0460605	−	0.00187048i
$421$	−145.324	+	542.357i	−0.345188	+	1.28826i	0.547204	+	0.836999i	$0.315692\pi$
$421$	−145.324	+	542.357i	−0.345188	+	1.28826i	−0.892392	+	0.451261i	$0.850974\pi$
$422$	−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	$0.0918956\pi$
$431$			245.416i			0.569410i	−0.958615	+	0.284705i	$0.908104\pi$
$432$	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	−0.169378	−	0.985551i	$-0.554176\pi$
$439$	263.157	−	151.934i	0.599446	−	0.346090i	0.768824	+	0.639461i	$0.220842\pi$
$440$	−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	−0.0817191	−	0.996655i	$-0.526041\pi$
$443$	−288.312	−	77.2530i	−0.650818	−	0.174386i	−0.569099	+	0.822269i	$0.692708\pi$
$444$	−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	$-0.915268\pi$
$449$		−	236.230i		−	0.526124i	0.964779	−	0.263062i	$-0.0847323\pi$
$450$	−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	−0.738715	−	0.674018i	$-0.764567\pi$
$457$	−239.630	+	138.351i	−0.524355	+	0.302736i	0.214360	+	0.976755i	$0.431234\pi$
$458$	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	−0.951092	−	0.308907i	$-0.900037\pi$
$461$	12.4615	−	46.5071i	0.0270316	−	0.100883i	0.978124	+	0.208024i	$0.0667033\pi$
$462$	−0.862389	+	4.98570i	−0.00186664	+	0.0107916i
$463$	−419.804	+	727.122i	−0.906704	+	1.57046i	−0.0880912	+	0.996112i	$0.528077\pi$
$463$	−419.804	+	727.122i	−0.906704	+	1.57046i	−0.818613	+	0.574345i	$0.805257\pi$
$464$	−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	−0.986162	−	0.165783i	$-0.946985\pi$
$467$	−537.958	−	537.958i	−1.15195	−	1.15195i	−0.165783	−	0.986162i	$-0.553015\pi$
$468$	−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	0.451534	−	0.892254i	$-0.350877\pi$
$479$	694.558	−	401.003i	1.45002	−	0.837167i	0.998482	+	0.0550867i	$0.0175435\pi$
$480$	−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	$-0.990447\pi$
$487$		−	29.2261i		−	0.0600125i	0.999550	−	0.0300062i	$-0.00955271\pi$
$488$	−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	−0.966421	−	0.256963i	$-0.917278\pi$
$491$	−126.657	−	472.690i	−0.257957	−	0.962710i	0.708464	−	0.705747i	$-0.249388\pi$
$492$	−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	0.980408	+	0.196979i	$0.0631130\pi$
$499$	114.690	+	428.028i	0.229839	+	0.857771i	−0.750569	+	0.660792i	$0.770220\pi$
$500$	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	−0.669303	−	0.742989i	$-0.733407\pi$
$509$	−446.618	+	119.671i	−0.877443	+	0.235110i	−0.208139	+	0.978099i	$0.566741\pi$
$510$	−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	0.564384	−	0.825512i	$-0.309114\pi$
$523$	−136.570	−	136.570i	−0.261129	−	0.261129i	−0.825512	+	0.564384i	$0.809114\pi$
$524$	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	−0.682347	−	0.731028i	$-0.739041\pi$
$541$	26.3367	−	26.3367i	0.0486815	−	0.0486815i	0.731028	+	0.682347i	$0.239041\pi$
$542$	−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	0.173521	−	0.984830i	$-0.444486\pi$
$547$	−92.2354	−	24.7144i	−0.168621	−	0.0451817i	−0.342142	+	0.939648i	$0.611152\pi$
$548$	−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	0.939427	+	0.342749i	$0.111358\pi$
$557$	714.172	+	714.172i	1.28218	+	1.28218i	0.342749	+	0.939427i	$0.388642\pi$
$558$	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	−0.0563249	−	0.998412i	$-0.517938\pi$
$563$	221.880	−	59.4525i	0.394103	−	0.105599i	0.450427	+	0.892813i	$0.351272\pi$
$564$	−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	0.949157	+	0.314804i	$0.101939\pi$
$569$	425.161	+	736.400i	0.747207	+	1.29420i	−0.201950	+	0.979396i	$0.564728\pi$
$570$	1336.03	−	941.998i	2.34392	−	1.65263i
$571$	−346.248	+	92.7770i	−0.606389	+	0.162482i	−0.548933	−	0.835866i	$-0.684966\pi$
$571$	−346.248	+	92.7770i	−0.606389	+	0.162482i	−0.0574565	+	0.998348i	$0.518299\pi$
$572$	−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	0.271915	−	0.962321i	$-0.412343\pi$
$587$	15.4023	+	4.12702i	0.0262389	+	0.00703071i	−0.245676	+	0.969352i	$0.579010\pi$
$588$	−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	$0.0256054\pi$
$593$			95.3011i			0.160710i	−0.996766	+	0.0803550i	$0.974395\pi$
$594$	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	−0.791200	−	0.611558i	$-0.790543\pi$
$599$	80.2810	−	139.051i	0.134025	−	0.232138i	0.925225	+	0.379420i	$0.123876\pi$
$600$	−912.530	+	1093.80i	−1.52088	+	1.82300i
$601$	−610.116	+	352.250i	−1.01517	+	0.586107i	−0.912700	−	0.408629i	$-0.866007\pi$
$601$	−610.116	+	352.250i	−1.01517	+	0.586107i	−0.102467	+	0.994736i	$0.532674\pi$
$602$	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	−0.301706	−	0.953401i	$-0.597556\pi$
$607$	409.614	−	709.472i	0.674817	−	1.16882i	0.976522	−	0.215416i	$-0.0691107\pi$
$608$	−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	0.973713	−	0.227776i	$-0.0731455\pi$
$613$	457.259	+	457.259i	0.745937	+	0.745937i	−0.227776	+	0.973713i	$0.573145\pi$
$614$	−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	−0.839768	−	0.542945i	$-0.817309\pi$
$617$	31.0475	−	53.7759i	0.0503201	−	0.0871570i	0.890088	+	0.455788i	$0.150643\pi$
$618$	189.185	−	133.389i	0.306125	−	0.215839i
$619$	77.6672	−	289.858i	0.125472	−	0.468268i	−0.874384	−	0.485235i	$-0.838734\pi$
$619$	77.6672	−	289.858i	0.125472	−	0.468268i	0.999856	+	0.0169666i	$0.00540090\pi$
$620$	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	$-0.980616\pi$
$631$		−	76.8052i		−	0.121720i	0.998146	−	0.0608599i	$-0.0193843\pi$
$632$	−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	−0.629549	−	0.776960i	$-0.716760\pi$
$641$	−174.004	+	100.461i	−0.271457	+	0.156726i	0.358093	+	0.933686i	$0.383427\pi$
$642$	47.5246	+	129.262i	0.0740259	+	0.201343i
$643$	196.502	+	733.357i	0.305602	+	1.14052i	0.932426	+	0.361362i	$0.117688\pi$
$643$	196.502	+	733.357i	0.305602	+	1.14052i	−0.626823	+	0.779162i	$0.715645\pi$
$644$	−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	0.336589	−	0.941651i	$-0.390727\pi$
$653$	717.588	−	192.277i	1.09891	−	0.294452i	0.762321	+	0.647199i	$0.224060\pi$
$654$	−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	0.758212	+	0.652008i	$0.226073\pi$
$659$	−147.895	+	551.951i	−0.224423	+	0.837558i	−0.982635	+	0.185550i	$0.940593\pi$
$660$	358.613	+	388.971i	0.543352	+	0.589350i
$661$	−821.329	+	220.074i	−1.24255	+	0.332942i	−0.819456	−	0.573142i	$-0.805724\pi$
$661$	−821.329	+	220.074i	−1.24255	+	0.332942i	−0.423099	+	0.906084i	$0.639058\pi$
$662$	−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	0.996845	+	0.0793763i	$0.0252929\pi$
$673$	381.702	+	661.126i	0.567164	+	0.982357i	−0.429680	+	0.902981i	$0.641374\pi$
$674$	−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	0.402496	−	0.915422i	$-0.368143\pi$
$677$	198.603	+	53.2156i	0.293358	+	0.0786050i	−0.109139	+	0.994027i	$0.534809\pi$
$678$	−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	0.320788	−	0.947151i	$-0.396052\pi$
$683$	866.002	−	866.002i	1.26794	−	1.26794i	0.947151	−	0.320788i	$-0.103948\pi$
$684$	−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	0.406860	−	0.913490i	$-0.366624\pi$
$691$	209.005	+	56.0026i	0.302467	+	0.0810457i	−0.104394	+	0.994536i	$0.533290\pi$
$692$	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	0.825326	−	0.564657i	$-0.190991\pi$
$701$	182.729	+	182.729i	0.260669	+	0.260669i	−0.564657	+	0.825326i	$0.690991\pi$
$702$	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	−0.785632	−	0.618694i	$-0.787662\pi$
$709$	144.701	−	540.033i	0.204092	−	0.761682i	0.989724	−	0.142988i	$-0.0456712\pi$
$710$	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	$0.103486\pi$
$719$			459.316i			0.638827i	−0.947615	+	0.319413i	$0.896514\pi$
$720$	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	−0.787862	−	0.615852i	$-0.788812\pi$
$727$	−471.423	+	272.176i	−0.648449	+	0.374382i	0.139413	+	0.990234i	$0.455479\pi$
$728$	−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	0.888901	−	0.458099i	$-0.151470\pi$
$733$	−80.6004	−	300.805i	−0.109960	−	0.410375i	−0.998861	+	0.0477247i	$0.984803\pi$
$734$	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	0.217309	−	0.976103i	$-0.430272\pi$
$739$	881.931	−	881.931i	1.19341	−	1.19341i	0.976103	−	0.217309i	$-0.0697280\pi$
$740$	−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	−0.453946	−	0.891029i	$-0.649984\pi$
$743$	404.698	−	700.957i	0.544681	−	0.943414i	0.998627	−	0.0523854i	$-0.0166824\pi$
$744$	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	−0.993990	−	0.109468i	$-0.965085\pi$
$751$	−302.047	+	523.161i	−0.402193	+	0.696619i	0.591797	+	0.806087i	$0.298419\pi$
$752$	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	0.623986	−	0.781435i	$-0.285512\pi$
$757$	−119.189	−	119.189i	−0.157449	−	0.157449i	−0.781435	+	0.623986i	$0.785512\pi$
$758$	−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	0.476772	+	0.879027i	$0.341807\pi$
$761$	−397.907	+	689.195i	−0.522873	+	0.905643i	−0.999646	+	0.0266165i	$0.991527\pi$
$762$	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	−0.831995	−	0.554783i	$-0.812801\pi$
$769$	49.5686	−	85.8554i	0.0644585	−	0.111645i	0.896454	+	0.443137i	$0.146135\pi$
$770$	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	−0.819686	−	0.572813i	$-0.805852\pi$
$773$	−190.834	+	190.834i	−0.246874	+	0.246874i	0.572813	+	0.819686i	$0.305852\pi$
$774$	−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	−0.997545	−	0.0700291i	$-0.977691\pi$
$787$	−132.736	−	495.376i	−0.168660	−	0.629449i	0.828885	−	0.559419i	$-0.188976\pi$
$788$	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	−0.119423	−	0.992843i	$-0.538104\pi$
$797$	218.040	−	58.4235i	0.273575	−	0.0733043i	0.392998	+	0.919539i	$0.371438\pi$
$798$	−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	0.389922	−	0.920848i	$-0.372502\pi$
$811$	−430.581	−	430.581i	−0.530926	−	0.530926i	−0.920848	+	0.389922i	$0.872502\pi$
$812$	−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	0.174270	−	0.984698i	$-0.444243\pi$
$821$	−137.235	−	36.7720i	−0.167156	−	0.0447893i	−0.341426	+	0.939909i	$0.610910\pi$
$822$	231.792	−	21.0397i	0.281985	−	0.0255957i
$823$	−416.535	−	240.487i	−0.506118	−	0.292207i	0.225119	−	0.974331i	$-0.427723\pi$
$823$	−416.535	−	240.487i	−0.506118	−	0.292207i	−0.731236	+	0.682124i	$0.761056\pi$
$824$	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	−0.998168	−	0.0604994i	$-0.980731\pi$
$827$	−775.452	+	775.452i	−0.937669	+	0.937669i	0.0604994	+	0.998168i	$0.480731\pi$
$828$	811.013	−	148.454i	0.979484	−	0.179293i
$829$	−208.477	+	208.477i	−0.251480	+	0.251480i	−0.821577	−	0.570097i	$-0.806906\pi$
$829$	−208.477	+	208.477i	−0.251480	+	0.251480i	0.570097	+	0.821577i	$0.306906\pi$
$830$	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	0.952996	+	0.302983i	$0.0979826\pi$
$839$	619.928	+	1073.75i	0.738889	+	1.27979i	−0.214107	+	0.976810i	$0.568684\pi$
$840$	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	0.859726	+	0.510755i	$0.170634\pi$
$853$	−119.587	+	446.306i	−0.140196	+	0.523219i	−0.999922	+	0.0124637i	$0.996033\pi$
$854$	−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	0.934682	−	0.355485i	$-0.115684\pi$
$857$	136.676	+	236.730i	0.159482	+	0.276231i	−0.775200	+	0.631716i	$0.782351\pi$
$858$	166.470	+	76.9674i	0.194021	+	0.0897056i
$859$	1319.04	−	353.436i	1.53555	−	0.411450i	0.610727	−	0.791841i	$-0.290877\pi$
$859$	1319.04	−	353.436i	1.53555	−	0.411450i	0.924826	+	0.380391i	$0.124210\pi$
$860$	−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	$0.249708\pi$
$863$			1219.35i			1.41291i	−0.707756	+	0.706457i	$0.750292\pi$
$864$	−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	−0.995903	−	0.0904270i	$-0.971177\pi$
$877$	−156.667	−	584.688i	−0.178639	−	0.666691i	0.817264	−	0.576264i	$-0.195490\pi$
$878$	−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	$-0.830664\pi$
$881$		−	893.764i		−	1.01449i	0.861802	−	0.507244i	$-0.169336\pi$
$882$	−740.204	+	478.584i	−0.839233	+	0.542613i
$883$	−779.479	+	779.479i	−0.882762	+	0.882762i	−0.993815	−	0.111052i	$-0.964578\pi$
$883$	−779.479	+	779.479i	−0.882762	+	0.882762i	0.111052	+	0.993815i	$0.464578\pi$
$884$	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	−0.552549	−	0.833481i	$-0.686345\pi$
$887$	395.195	−	684.498i	0.445541	−	0.771700i	0.998090	+	0.0617808i	$0.0196780\pi$
$888$	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	−0.377665	−	0.925942i	$-0.623273\pi$
$907$	374.023	−	1395.87i	0.412374	−	1.53900i	0.790039	−	0.613057i	$-0.210060\pi$
$908$	−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	−0.505813	−	0.862643i	$-0.668808\pi$
$911$	−10.6128	+	6.12728i	−0.0116496	+	0.00672588i	0.494164	+	0.869369i	$0.335474\pi$
$912$	−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	$0.0230368\pi$
$919$			132.904i			0.144618i	−0.997382	+	0.0723090i	$0.976963\pi$
$920$	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	0.211781	−	0.977317i	$-0.432074\pi$
$929$	1081.41	−	624.350i	1.16405	−	0.672066i	0.952272	+	0.305251i	$0.0987402\pi$
$930$	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	$-0.922026\pi$
$937$		−	454.483i		−	0.485040i	0.970146	−	0.242520i	$-0.0779740\pi$
$938$	−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	−0.0948556	−	0.995491i	$-0.530239\pi$
$941$	301.819	−	80.8721i	0.320743	−	0.0859427i	0.415598	+	0.909548i	$0.363572\pi$
$942$	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	−0.820702	−	0.571357i	$-0.806417\pi$
$947$	166.412	−	621.057i	0.175725	−	0.655816i	0.996427	−	0.0844587i	$-0.0269161\pi$
$948$	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	0.465925	−	0.884824i	$-0.345722\pi$
$967$	−65.1680	−	37.6248i	−0.0673919	−	0.0389088i	−0.533317	+	0.845915i	$0.679055\pi$
$968$	−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	−0.458063	+	0.888920i	$0.651457\pi$
$971$	−1307.92	+	1307.92i	−1.34698	+	1.34698i	−0.888920	+	0.458063i	$0.848543\pi$
$972$	−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	0.590093	−	0.807335i	$-0.299091\pi$
$977$	181.690	+	104.899i	0.185967	+	0.107368i	−0.404126	+	0.914703i	$0.632424\pi$
$978$	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	−0.974584	−	0.224022i	$-0.928081\pi$
$983$	−669.719	−	1159.99i	−0.681301	−	1.18005i	0.293283	−	0.956026i	$-0.405252\pi$
$984$	−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	−0.962528	−	0.271181i	$-0.912586\pi$
$997$	6.61619	−	24.6920i	0.00663610	−	0.0247663i	0.969164	+	0.246415i	$0.0792525\pi$
$998$	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.5.6	✓	184
3.2	odd	2		432.3.x.a.341.41		184
9.2	odd	6	inner	144.3.w.a.101.22	yes	184
9.7	even	3		432.3.x.a.197.25		184
16.13	even	4	inner	144.3.w.a.77.22	yes	184
48.29	odd	4		432.3.x.a.125.25		184
144.29	odd	12	inner	144.3.w.a.29.6	yes	184
144.61	even	12		432.3.x.a.413.41		184

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
144.3.w.a.5.6	✓	184	1.1	even	1	trivial
144.3.w.a.29.6	yes	184	144.29	odd	12	inner
144.3.w.a.77.22	yes	184	16.13	even	4	inner
144.3.w.a.101.22	yes	184	9.2	odd	6	inner
432.3.x.a.125.25		184	48.29	odd	4
432.3.x.a.197.25		184	9.7	even	3
432.3.x.a.341.41		184	3.2	odd	2
432.3.x.a.413.41		184	144.61	even	12

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 144 = 2^{4} \cdot 3^{2} \)
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

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