LMFDB - Embedded newform 504.2.w.a.205.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [504,2,Mod(205,504)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

chi = DirichletCharacter(H, H._module([0, 3, 4, 2]))

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

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

chi := DirichletCharacter("504.205");

S:= CuspForms(chi, 2);

N := Newforms(S);

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

Newform invariants

comment: select newform

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

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

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

Embedding invariants

Embedding label			205.2
Character	$\chi$	$=$	504.205
Dual form			504.2.w.a.445.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.41269 - 0.0655984i) q^{2} +(-0.165594 + 1.72412i) q^{3} +(1.99139 + 0.185341i) q^{4} +1.74289i q^{5} +(0.347032 - 2.42478i) q^{6} +(1.38436 + 2.25467i) q^{7} +(-2.80107 - 0.392461i) q^{8} +(-2.94516 - 0.571007i) q^{9} +O(q^{10})$	\(q+(-1.41269 - 0.0655984i) q^{2} +(-0.165594 + 1.72412i) q^{3} +(1.99139 + 0.185341i) q^{4} +1.74289i q^{5} +(0.347032 - 2.42478i) q^{6} +(1.38436 + 2.25467i) q^{7} +(-2.80107 - 0.392461i) q^{8} +(-2.94516 - 0.571007i) q^{9} +(0.114331 - 2.46217i) q^{10} +4.08198i q^{11} +(-0.649312 + 3.40270i) q^{12} +(0.381697 - 0.220373i) q^{13} +(-1.80777 - 3.27597i) q^{14} +(-3.00495 - 0.288612i) q^{15} +(3.93130 + 0.738172i) q^{16} +(-0.738081 - 1.27839i) q^{17} +(4.12314 + 0.999854i) q^{18} +(0.482244 + 0.278423i) q^{19} +(-0.323028 + 3.47078i) q^{20} +(-4.11656 + 2.01344i) q^{21} +(0.267772 - 5.76658i) q^{22} -0.0937827 q^{23} +(1.14049 - 4.76438i) q^{24} +1.96233 q^{25} +(-0.553677 + 0.286280i) q^{26} +(1.47218 - 4.98324i) q^{27} +(2.33893 + 4.74652i) q^{28} +(-0.674267 - 0.389288i) q^{29} +(4.22613 + 0.604840i) q^{30} +(0.833067 - 1.44291i) q^{31} +(-5.50529 - 1.30070i) q^{32} +(-7.03782 - 0.675952i) q^{33} +(0.958820 + 1.85439i) q^{34} +(-3.92964 + 2.41279i) q^{35} +(-5.75914 - 1.68296i) q^{36} +(-6.29434 - 3.63404i) q^{37} +(-0.662997 - 0.424961i) q^{38} +(0.316742 + 0.694583i) q^{39} +(0.684017 - 4.88195i) q^{40} +(2.72566 + 4.72098i) q^{41} +(5.94750 - 2.57433i) q^{42} +(1.66603 + 0.961881i) q^{43} +(-0.756557 + 8.12884i) q^{44} +(0.995202 - 5.13309i) q^{45} +(0.132486 + 0.00615200i) q^{46} +(-4.86534 - 8.42702i) q^{47} +(-1.92369 + 6.65578i) q^{48} +(-3.16708 + 6.24256i) q^{49} +(-2.77217 - 0.128726i) q^{50} +(2.32632 - 1.06084i) q^{51} +(0.800954 - 0.368105i) q^{52} +(-11.9897 + 6.92224i) q^{53} +(-2.40663 + 6.94321i) q^{54} -7.11445 q^{55} +(-2.99282 - 6.85879i) q^{56} +(-0.559891 + 0.785339i) q^{57} +(0.926994 + 0.594175i) q^{58} +(4.59826 + 2.65481i) q^{59} +(-5.93054 - 1.13168i) q^{60} +(-8.91616 + 5.14775i) q^{61} +(-1.27152 + 1.98374i) q^{62} +(-2.78973 - 7.43084i) q^{63} +(7.69195 + 2.19862i) q^{64} +(0.384086 + 0.665257i) q^{65} +(9.89792 + 1.41658i) q^{66} +(10.8750 + 6.27866i) q^{67} +(-1.23287 - 2.68258i) q^{68} +(0.0155299 - 0.161692i) q^{69} +(5.70965 - 3.15075i) q^{70} +5.78762 q^{71} +(8.02548 + 2.75529i) q^{72} +(-7.48434 - 12.9633i) q^{73} +(8.65357 + 5.54667i) q^{74} +(-0.324950 + 3.38329i) q^{75} +(0.908734 + 0.643830i) q^{76} +(-9.20353 + 5.65095i) q^{77} +(-0.401895 - 1.00201i) q^{78} +(4.68802 + 8.11989i) q^{79} +(-1.28655 + 6.85182i) q^{80} +(8.34790 + 3.36341i) q^{81} +(-3.54083 - 6.84809i) q^{82} +(1.53141 + 0.884160i) q^{83} +(-8.57086 + 3.24659i) q^{84} +(2.22810 - 1.28639i) q^{85} +(-2.29048 - 1.46813i) q^{86} +(0.782832 - 1.09805i) q^{87} +(1.60202 - 11.4339i) q^{88} +(6.87778 - 11.9127i) q^{89} +(-1.74264 + 7.18618i) q^{90} +(1.02528 + 0.555525i) q^{91} +(-0.186758 - 0.0173817i) q^{92} +(2.34980 + 1.67524i) q^{93} +(6.32043 + 12.2239i) q^{94} +(-0.485262 + 0.840498i) q^{95} +(3.15419 - 9.27637i) q^{96} +(-4.99814 + 8.65703i) q^{97} +(4.88361 - 8.61106i) q^{98} +(2.33084 - 12.0221i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 184 q + q^{2} + q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9}+O(q^{10}) $ 184 * q + q^2 + q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9	$ 184 q + q^{2} + q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9} + 2 q^{10} - 17 q^{12} - 7 q^{14} - 2 q^{15} + q^{16} - 4 q^{17} + 13 q^{18} + 6 q^{20} + 2 q^{22} - 4 q^{23} + 12 q^{24} - 156 q^{25} - 4 q^{26} - 8 q^{28} - 18 q^{30} + 2 q^{31} + q^{32} + 22 q^{33} - 18 q^{36} + 10 q^{38} - 14 q^{39} + 8 q^{40} - 4 q^{41} + 3 q^{42} + 17 q^{44} - 6 q^{46} + 42 q^{47} - 3 q^{48} - 2 q^{49} - 31 q^{50} - 18 q^{52} - 58 q^{54} + 4 q^{55} - 34 q^{56} - 20 q^{57} - 10 q^{58} + 26 q^{60} + 32 q^{62} + 50 q^{63} - 8 q^{64} + 22 q^{65} + 79 q^{66} + 24 q^{68} + 8 q^{70} - 16 q^{71} - 27 q^{72} - 4 q^{73} - 38 q^{74} - 6 q^{76} - 47 q^{78} + 2 q^{79} - 11 q^{80} + 6 q^{81} + q^{84} + 46 q^{86} + 4 q^{87} + 14 q^{88} + 4 q^{89} - 35 q^{90} - 48 q^{92} + 9 q^{94} + 22 q^{95} - 16 q^{96} - 4 q^{97} - 83 q^{98}+O(q^{100}) $ 184 * q + q^2 + q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9 + 2 * q^10 - 17 * q^12 - 7 * q^14 - 2 * q^15 + q^16 - 4 * q^17 + 13 * q^18 + 6 * q^20 + 2 * q^22 - 4 * q^23 + 12 * q^24 - 156 * q^25 - 4 * q^26 - 8 * q^28 - 18 * q^30 + 2 * q^31 + q^32 + 22 * q^33 - 18 * q^36 + 10 * q^38 - 14 * q^39 + 8 * q^40 - 4 * q^41 + 3 * q^42 + 17 * q^44 - 6 * q^46 + 42 * q^47 - 3 * q^48 - 2 * q^49 - 31 * q^50 - 18 * q^52 - 58 * q^54 + 4 * q^55 - 34 * q^56 - 20 * q^57 - 10 * q^58 + 26 * q^60 + 32 * q^62 + 50 * q^63 - 8 * q^64 + 22 * q^65 + 79 * q^66 + 24 * q^68 + 8 * q^70 - 16 * q^71 - 27 * q^72 - 4 * q^73 - 38 * q^74 - 6 * q^76 - 47 * q^78 + 2 * q^79 - 11 * q^80 + 6 * q^81 + q^84 + 46 * q^86 + 4 * q^87 + 14 * q^88 + 4 * q^89 - 35 * q^90 - 48 * q^92 + 9 * q^94 + 22 * q^95 - 16 * q^96 - 4 * q^97 - 83 * q^98

Display 100 coefficients 10 coefficients

Character values

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

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

Coefficient data

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

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

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

$2$	−1.41269	−	0.0655984i	−0.998924	−	0.0463851i
$2$	−1.41269	−	0.0655984i	−0.998924	−	0.0463851i
$3$	−0.165594	+	1.72412i	−0.0956057	+	0.995419i
$3$	−0.165594	+	1.72412i	−0.0956057	+	0.995419i
$4$	1.99139	+	0.185341i	0.995697	+	0.0926703i
$5$			1.74289i			0.779444i	0.920932	+	0.389722i	$0.127429\pi$
$5$			1.74289i			0.779444i	−0.920932	+	0.389722i	$0.872571\pi$
$6$	0.347032	−	2.42478i	0.141675	−	0.989913i
$7$	1.38436	+	2.25467i	0.523240	+	0.852185i
$7$	1.38436	+	2.25467i	0.523240	+	0.852185i
$8$	−2.80107	−	0.392461i	−0.990327	−	0.138756i
$9$	−2.94516	−	0.571007i	−0.981719	−	0.190336i
$10$	0.114331	−	2.46217i	0.0361546	−	0.778605i
$11$			4.08198i			1.23076i	0.788229	+	0.615382i	$0.210998\pi$
$11$			4.08198i			1.23076i	−0.788229	+	0.615382i	$0.789002\pi$
$12$	−0.649312	+	3.40270i	−0.187440	+	0.982276i
$13$	0.381697	−	0.220373i	0.105864	−	0.0611205i	−0.446133	−	0.894967i	$-0.647199\pi$
$13$	0.381697	−	0.220373i	0.105864	−	0.0611205i	0.551997	+	0.833846i	$0.313866\pi$
$14$	−1.80777	−	3.27597i	−0.483148	−	0.875539i
$15$	−3.00495	−	0.288612i	−0.775874	−	0.0745193i
$16$	3.93130	+	0.738172i	0.982824	+	0.184543i
$17$	−0.738081	−	1.27839i	−0.179011	−	0.310056i	0.762531	−	0.646951i	$-0.223956\pi$
$17$	−0.738081	−	1.27839i	−0.179011	−	0.310056i	−0.941542	+	0.336896i	$0.890623\pi$
$18$	4.12314	+	0.999854i	0.971834	+	0.235668i
$19$	0.482244	+	0.278423i	0.110634	+	0.0638747i	0.554296	−	0.832320i	$-0.312988\pi$
$19$	0.482244	+	0.278423i	0.110634	+	0.0638747i	−0.443662	+	0.896194i	$0.646321\pi$
$20$	−0.323028	+	3.47078i	−0.0722313	+	0.776090i
$21$	−4.11656	+	2.01344i	−0.898307	+	0.439369i
$22$	0.267772	−	5.76658i	0.0570891	−	1.22944i
$23$	−0.0937827			−0.0195550			−0.00977752	−	0.999952i	$-0.503112\pi$
$23$	−0.0937827			−0.0195550			−0.00977752	+	0.999952i	$0.503112\pi$
$24$	1.14049	−	4.76438i	0.232801	−	0.972524i
$25$	1.96233			0.392466
$26$	−0.553677	+	0.286280i	−0.108585	+	0.0561442i
$27$	1.47218	−	4.98324i	0.283322	−	0.959025i
$28$	2.33893	+	4.74652i	0.442016	+	0.897007i
$29$	−0.674267	−	0.389288i	−0.125208	−	0.0722890i	0.436088	−	0.899904i	$-0.356364\pi$
$29$	−0.674267	−	0.389288i	−0.125208	−	0.0722890i	−0.561296	+	0.827615i	$0.689697\pi$
$30$	4.22613	+	0.604840i	0.771582	+	0.110428i
$31$	0.833067	−	1.44291i	0.149623	−	0.259155i	−0.781465	−	0.623949i	$-0.785527\pi$
$31$	0.833067	−	1.44291i	0.149623	−	0.259155i	0.931088	+	0.364794i	$0.118861\pi$
$32$	−5.50529	−	1.30070i	−0.973207	−	0.229933i
$33$	−7.03782	−	0.675952i	−1.22513	−	0.117668i
$34$	0.958820	+	1.85439i	0.164436	+	0.318026i
$35$	−3.92964	+	2.41279i	−0.664231	+	0.407836i
$36$	−5.75914	−	1.68296i	−0.959856	−	0.280493i
$37$	−6.29434	−	3.63404i	−1.03478	−	0.597432i	−0.116431	−	0.993199i	$-0.537146\pi$
$37$	−6.29434	−	3.63404i	−1.03478	−	0.597432i	−0.918351	+	0.395767i	$0.870479\pi$
$38$	−0.662997	−	0.424961i	−0.107552	−	0.0689378i
$39$	0.316742	+	0.694583i	0.0507193	+	0.111222i
$40$	0.684017	−	4.88195i	0.108153	−	0.771905i
$41$	2.72566	+	4.72098i	0.425677	+	0.737294i	0.996483	−	0.0837908i	$-0.0267027\pi$
$41$	2.72566	+	4.72098i	0.425677	+	0.737294i	−0.570807	+	0.821085i	$0.693369\pi$
$42$	5.94750	−	2.57433i	0.917720	−	0.397228i
$43$	1.66603	+	0.961881i	0.254067	+	0.146685i	0.621625	−	0.783315i	$-0.286473\pi$
$43$	1.66603	+	0.961881i	0.254067	+	0.146685i	−0.367558	+	0.930001i	$0.619806\pi$
$44$	−0.756557	+	8.12884i	−0.114055	+	1.22547i
$45$	0.995202	−	5.13309i	0.148356	−	0.765195i
$46$	0.132486	+	0.00615200i	0.0195340	+	0.000907062i
$47$	−4.86534	−	8.42702i	−0.709683	−	1.22921i	−0.964975	−	0.262344i	$-0.915505\pi$
$47$	−4.86534	−	8.42702i	−0.709683	−	1.22921i	0.255291	−	0.966864i	$-0.417829\pi$
$48$	−1.92369	+	6.65578i	−0.277661	+	0.960679i
$49$	−3.16708	+	6.24256i	−0.452440	+	0.891795i
$50$	−2.77217	−	0.128726i	−0.392044	−	0.0182046i
$51$	2.32632	−	1.06084i	0.325750	−	0.148548i
$52$	0.800954	−	0.368105i	0.111072	−	0.0510470i
$53$	−11.9897	+	6.92224i	−1.64691	+	0.950843i	−0.668617	+	0.743607i	$0.733113\pi$
$53$	−11.9897	+	6.92224i	−1.64691	+	0.950843i	−0.978291	+	0.207236i	$0.933553\pi$
$54$	−2.40663	+	6.94321i	−0.327501	+	0.944851i
$55$	−7.11445			−0.959313
$56$	−2.99282	−	6.85879i	−0.399933	−	0.916545i
$57$	−0.559891	+	0.785339i	−0.0741594	+	0.104021i
$58$	0.926994	+	0.594175i	0.121720	+	0.0780190i
$59$	4.59826	+	2.65481i	0.598643	+	0.345626i	0.768507	−	0.639841i	$-0.221000\pi$
$59$	4.59826	+	2.65481i	0.598643	+	0.345626i	−0.169865	+	0.985467i	$0.554333\pi$
$60$	−5.93054	−	1.13168i	−0.765630	−	0.146099i
$61$	−8.91616	+	5.14775i	−1.14160	+	0.659101i	−0.946826	−	0.321747i	$-0.895730\pi$
$61$	−8.91616	+	5.14775i	−1.14160	+	0.659101i	−0.194771	+	0.980849i	$0.562396\pi$
$62$	−1.27152	+	1.98374i	−0.161483	+	0.251936i
$63$	−2.78973	−	7.43084i	−0.351473	−	0.936198i
$64$	7.69195	+	2.19862i	0.961494	+	0.274828i
$65$	0.384086	+	0.665257i	0.0476400	+	0.0825149i
$66$	9.89792	+	1.41658i	1.21835	+	0.174369i
$67$	10.8750	+	6.27866i	1.32859	+	0.767060i	0.985081	−	0.172091i	$-0.0550522\pi$
$67$	10.8750	+	6.27866i	1.32859	+	0.767060i	0.343506	+	0.939151i	$0.388386\pi$
$68$	−1.23287	−	2.68258i	−0.149508	−	0.325311i
$69$	0.0155299	−	0.161692i	0.00186957	−	0.0194655i
$70$	5.70965	−	3.15075i	0.682434	−	0.376587i
$71$	5.78762			0.686864			0.343432	−	0.939177i	$-0.388410\pi$
$71$	5.78762			0.686864			0.343432	+	0.939177i	$0.388410\pi$
$72$	8.02548	+	2.75529i	0.945812	+	0.324714i
$73$	−7.48434	−	12.9633i	−0.875976	−	1.51723i	−0.855720	−	0.517440i	$-0.826885\pi$
$73$	−7.48434	−	12.9633i	−0.875976	−	1.51723i	−0.0202563	−	0.999795i	$-0.506448\pi$
$74$	8.65357	+	5.54667i	1.00596	+	0.644787i
$75$	−0.324950	+	3.38329i	−0.0375220	+	0.390669i
$76$	0.908734	+	0.643830i	0.104239	+	0.0738524i
$77$	−9.20353	+	5.65095i	−1.04884	+	0.643985i
$78$	−0.401895	−	1.00201i	−0.0455057	−	0.113455i
$79$	4.68802	+	8.11989i	0.527444	+	0.913559i	0.999488	+	0.0319847i	$0.0101828\pi$
$79$	4.68802	+	8.11989i	0.527444	+	0.913559i	−0.472045	+	0.881575i	$0.656484\pi$
$80$	−1.28655	+	6.85182i	−0.143841	+	0.766057i
$81$	8.34790	+	3.36341i	0.927545	+	0.373712i
$82$	−3.54083	−	6.84809i	−0.391019	−	0.756245i
$83$	1.53141	+	0.884160i	0.168094	+	0.0970491i	0.581687	−	0.813413i	$-0.302393\pi$
$83$	1.53141	+	0.884160i	0.168094	+	0.0970491i	−0.413593	+	0.910462i	$0.635726\pi$
$84$	−8.57086	+	3.24659i	−0.935157	+	0.354232i
$85$	2.22810	−	1.28639i	0.241671	−	0.139529i
$86$	−2.29048	−	1.46813i	−0.246989	−	0.158312i
$87$	0.782832	−	1.09805i	0.0839285	−	0.117723i
$88$	1.60202	−	11.4339i	0.170776	−	1.21886i
$89$	6.87778	−	11.9127i	0.729043	−	1.26274i	−0.228245	−	0.973604i	$-0.573299\pi$
$89$	6.87778	−	11.9127i	0.729043	−	1.26274i	0.957288	−	0.289136i	$-0.0933679\pi$
$90$	−1.74264	+	7.18618i	−0.183690	+	0.757490i
$91$	1.02528	+	0.555525i	0.107478	+	0.0582349i
$92$	−0.186758	−	0.0173817i	−0.0194709	−	0.00181217i
$93$	2.34980	+	1.67524i	0.243663	+	0.173715i
$94$	6.32043	+	12.2239i	0.651903	+	1.26080i
$95$	−0.485262	+	0.840498i	−0.0497868	+	0.0862333i
$96$	3.15419	−	9.27637i	0.321924	−	0.946766i
$97$	−4.99814	+	8.65703i	−0.507484	+	0.878988i	0.492478	+	0.870325i	$0.336091\pi$
$97$	−4.99814	+	8.65703i	−0.507484	+	0.878988i	−0.999962	+	0.00866342i	$0.997242\pi$
$98$	4.88361	−	8.61106i	0.493319	−	0.869849i
$99$	2.33084	−	12.0221i	0.234258	−	1.20827i
$100$	3.90778	+	0.363700i	0.390778	+	0.0363700i
$101$		−	13.9583i		−	1.38890i	−0.719540	−	0.694451i	$-0.755647\pi$
$101$		−	13.9583i		−	1.38890i	0.719540	−	0.694451i	$-0.244353\pi$
$102$	−3.35596	+	1.34604i	−0.332290	+	0.133278i
$103$	−2.10909			−0.207815			−0.103908	−	0.994587i	$-0.533135\pi$
$103$	−2.10909			−0.207815			−0.103908	+	0.994587i	$0.533135\pi$
$104$	−1.15565	+	0.467478i	−0.113321	+	0.0458400i
$105$	−3.50921	−	7.17471i	−0.342464	−	0.700180i
$106$	17.3918	−	8.99249i	1.68924	−	0.873427i
$107$	2.89360	+	1.67062i	0.279735	+	0.161505i	0.633303	−	0.773904i	$-0.281699\pi$
$107$	2.89360	+	1.67062i	0.279735	+	0.161505i	−0.353569	+	0.935409i	$0.615032\pi$
$108$	3.85529	−	9.65074i	0.370976	−	0.928643i
$109$	6.84937	−	3.95449i	0.656051	−	0.378771i	−0.134720	−	0.990884i	$-0.543013\pi$
$109$	6.84937	−	3.95449i	0.656051	−	0.378771i	0.790771	+	0.612113i	$0.209680\pi$
$110$	10.0505	+	0.466697i	0.958280	+	0.0444978i
$111$	7.30781	−	10.2504i	0.693626	−	0.972924i
$112$	3.77801	+	9.88568i	0.356988	+	0.934109i
$113$	9.68716	+	16.7786i	0.911291	+	1.57840i	0.812243	+	0.583320i	$0.198246\pi$
$113$	9.68716	+	16.7786i	0.911291	+	1.57840i	0.0990481	+	0.995083i	$0.468420\pi$
$114$	0.842470	−	1.07271i	0.0789046	−	0.100469i
$115$		−	0.163453i		−	0.0152421i
$116$	−1.27058	−	0.900195i	−0.117970	−	0.0835810i
$117$	−1.24999	+	0.431082i	−0.115562	+	0.0398535i
$118$	−6.32177	−	4.05206i	−0.581966	−	0.373023i
$119$	1.86058	−	3.43389i	0.170559	−	0.314784i
$120$	8.30379	+	1.98775i	0.758029	+	0.181456i
$121$	−5.66259			−0.514781
$122$	12.9335	−	6.68729i	1.17094	−	0.605439i
$123$	−8.59088	+	3.91759i	−0.774614	+	0.353237i
$124$	1.92639	−	2.71901i	0.172995	−	0.244174i
$125$			12.1346i			1.08535i
$126$	3.45358	+	10.6805i	0.307670	+	0.951493i
$127$	2.01973			0.179222			0.0896111	−	0.995977i	$-0.471438\pi$
$127$	2.01973			0.179222			0.0896111	+	0.995977i	$0.471438\pi$
$128$	−10.7221	−	3.61055i	−0.947711	−	0.319131i
$129$	−1.93428	+	2.71314i	−0.170304	+	0.238879i
$130$	−0.498955	−	0.964998i	−0.0437613	−	0.0846359i
$131$			11.4116i			0.997039i	0.866879	+	0.498519i	$0.166123\pi$
$131$			11.4116i			0.997039i	−0.866879	+	0.498519i	$0.833877\pi$
$132$	−13.8898	−	2.65048i	−1.20895	−	0.230695i
$133$	0.0398468	+	1.47274i	0.00345516	+	0.127703i
$134$	−14.9511	−	9.58318i	−1.29158	−	0.827861i
$135$	8.68524	+	2.56585i	0.747507	+	0.220833i
$136$	1.56569	+	3.87053i	0.134257	+	0.331895i
$137$	22.7652			1.94496			0.972479	−	0.232989i	$-0.0748505\pi$
$137$	22.7652			1.94496			0.972479	+	0.232989i	$0.0748505\pi$
$138$	−0.0325456	+	0.227403i	−0.00277047	+	0.0193578i
$139$	8.91294	−	5.14589i	0.755986	−	0.436468i	−0.0718670	−	0.997414i	$-0.522896\pi$
$139$	8.91294	−	5.14589i	0.755986	−	0.436468i	0.827853	+	0.560946i	$0.189562\pi$
$140$	−8.27266	+	4.07650i	−0.699167	+	0.344527i
$141$	15.3348	−	6.99296i	1.29143	−	0.588913i
$142$	−8.17612	−	0.379659i	−0.686125	−	0.0318603i
$143$	0.899559	+	1.55808i	0.0752249	+	0.130293i
$144$	−11.1568	−	4.41883i	−0.929732	−	0.368236i
$145$	0.678486	−	1.17517i	0.0563452	−	0.0975928i
$146$	9.72269	+	18.8040i	0.804656	+	1.55623i
$147$	−10.2385	−	6.49415i	−0.844454	−	0.535628i
$148$	−11.8610	−	8.40339i	−0.974965	−	0.690755i
$149$		−	8.76127i		−	0.717751i	−0.933385	−	0.358876i	$-0.883160\pi$
$149$		−	8.76127i		−	0.717751i	0.933385	−	0.358876i	$-0.116840\pi$
$150$	0.680993	−	4.75823i	0.0556028	−	0.388508i
$151$	20.9139			1.70195			0.850974	−	0.525208i	$-0.176012\pi$
$151$	20.9139			1.70195			0.850974	+	0.525208i	$0.176012\pi$
$152$	−1.24153	−	0.969145i	−0.100701	−	0.0786080i
$153$	1.44379	+	4.18652i	0.116724	+	0.338460i
$154$	13.3724	−	7.37931i	1.07758	−	0.594641i
$155$	2.51484	+	1.45194i	0.201997	+	0.116623i
$156$	0.502024	+	1.44189i	0.0401941	+	0.115444i
$157$	−9.82328	−	5.67147i	−0.783983	−	0.452633i	0.0538570	−	0.998549i	$-0.482848\pi$
$157$	−9.82328	−	5.67147i	−0.783983	−	0.452633i	−0.837840	+	0.545916i	$0.816182\pi$
$158$	−6.09008	−	11.7784i	−0.484501	−	0.937042i
$159$	−9.94933	−	21.8179i	−0.789033	−	1.73027i
$160$	2.26697	−	9.59511i	0.179220	−	0.758560i
$161$	−0.129829	−	0.211449i	−0.0102320	−	0.0166645i
$162$	−11.5724	−	5.29907i	−0.909212	−	0.416334i
$163$	−8.09905	−	4.67599i	−0.634367	−	0.366252i	0.148074	−	0.988976i	$-0.452692\pi$
$163$	−8.09905	−	4.67599i	−0.634367	−	0.366252i	−0.782441	+	0.622724i	$0.786026\pi$
$164$	4.55287	+	9.90651i	0.355520	+	0.773569i
$165$	1.17811	−	12.2661i	0.0917158	−	0.954918i
$166$	−2.10541	−	1.34950i	−0.163411	−	0.104742i
$167$	3.08213	+	5.33841i	0.238503	+	0.413099i	0.960285	−	0.279022i	$-0.0900101\pi$
$167$	3.08213	+	5.33841i	0.238503	+	0.413099i	−0.721782	+	0.692120i	$0.756677\pi$
$168$	12.3210	−	4.02420i	0.950582	−	0.310474i
$169$	−6.40287	+	11.0901i	−0.492529	+	0.853085i
$170$	−3.23200	+	1.67112i	−0.247883	+	0.128169i
$171$	−1.26130	−	1.09537i	−0.0964541	−	0.0837647i
$172$	3.13944	+	2.22427i	0.239380	+	0.169599i
$173$	16.3828	−	9.45862i	1.24556	−	0.719126i	0.275341	−	0.961347i	$-0.411209\pi$
$173$	16.3828	−	9.45862i	1.24556	−	0.719126i	0.970221	+	0.242221i	$0.0778758\pi$
$174$	−1.17793	+	1.49985i	−0.0892987	+	0.113704i
$175$	2.71658	+	4.42441i	0.205354	+	0.334454i
$176$	−3.01321	+	16.0475i	−0.227129	+	1.20963i
$177$	−5.33864	+	7.48832i	−0.401277	+	0.562856i
$178$	−10.4976	+	16.3777i	−0.786831	+	1.22756i
$179$	8.70518	−	5.02594i	0.650656	−	0.375656i	−0.138052	−	0.990425i	$-0.544084\pi$
$179$	8.70518	−	5.02594i	0.650656	−	0.375656i	0.788707	+	0.614769i	$0.210751\pi$
$180$	2.93321	−	10.0375i	0.218628	−	0.748155i
$181$			17.2103i			1.27923i	0.768695	+	0.639615i	$0.220906\pi$
$181$			17.2103i			1.27923i	−0.768695	+	0.639615i	$0.779094\pi$
$182$	−1.41196	−	0.852043i	−0.104661	−	0.0631576i
$183$	−7.39885	−	16.2249i	−0.546939	−	1.19938i
$184$	0.262692	+	0.0368061i	0.0193659	+	0.00271338i
$185$	6.33373	−	10.9703i	0.465665	−	0.806555i
$186$	−3.20965	−	2.52074i	−0.235343	−	0.184830i
$187$	5.21838	−	3.01283i	0.381606	−	0.220320i
$188$	−8.12695	−	17.6833i	−0.592719	−	1.28968i
$189$	13.2736	−	3.57933i	0.965512	−	0.260358i
$190$	0.740660	−	1.15553i	0.0537331	−	0.0838311i
$191$	0.240150	+	0.415952i	0.0173766	+	0.0300972i	0.874583	−	0.484876i	$-0.161135\pi$
$191$	0.240150	+	0.415952i	0.0173766	+	0.0300972i	−0.857206	+	0.514973i	$0.827802\pi$
$192$	−5.06442	+	12.8977i	−0.365493	+	0.930814i
$193$	−9.84469	+	17.0515i	−0.708637	+	1.22739i	0.256727	+	0.966484i	$0.417356\pi$
$193$	−9.84469	+	17.0515i	−0.708637	+	1.22739i	−0.965363	+	0.260910i	$0.915977\pi$
$194$	7.62871	−	11.9018i	0.547710	−	0.854502i
$195$	−1.21058	+	0.552047i	−0.0866916	+	0.0395329i
$196$	−7.46390	+	11.8444i	−0.533136	+	0.846030i
$197$		−	8.58052i		−	0.611337i	−0.952138	−	0.305668i	$-0.901120\pi$
$197$		−	8.58052i		−	0.611337i	0.952138	−	0.305668i	$-0.0988799\pi$
$198$	−4.08139	+	16.8306i	−0.290052	+	1.19610i
$199$	4.33411	+	7.50690i	0.307237	+	0.532150i	0.977757	−	0.209742i	$-0.0672622\pi$
$199$	4.33411	+	7.50690i	0.307237	+	0.532150i	−0.670520	+	0.741892i	$0.733929\pi$
$200$	−5.49662	−	0.770139i	−0.388670	−	0.0544571i
$201$	−12.6260	+	17.7100i	−0.890567	+	1.24917i
$202$	−0.915641	+	19.7187i	−0.0644243	+	1.38741i
$203$	−0.0557133	−	2.05917i	−0.00391031	−	0.144525i
$204$	4.82924	−	1.68139i	0.338114	−	0.117721i
$205$	−8.22816	+	4.75053i	−0.574679	+	0.331791i
$206$	2.97950	+	0.138353i	0.207592	+	0.00963953i
$207$	0.276205	+	0.0535506i	0.0191976	+	0.00372202i
$208$	1.66324	−	0.584594i	0.115325	−	0.0405343i
$209$	−1.13652	+	1.96851i	−0.0786147	+	0.136165i
$210$	4.48678	+	10.3658i	0.309617	+	0.715312i
$211$	−17.6167	+	10.1710i	−1.21279	+	0.700202i	−0.963365	−	0.268194i	$-0.913573\pi$
$211$	−17.6167	+	10.1710i	−1.21279	+	0.700202i	−0.249420	+	0.968395i	$0.580240\pi$
$212$	−25.1591	+	11.5627i	−1.72794	+	0.794132i
$213$	−0.958395	+	9.97854i	−0.0656682	+	0.683718i
$214$	−3.97817	−	2.54989i	−0.271942	−	0.174307i
$215$	−1.67645	+	2.90370i	−0.114333	+	0.198031i
$216$	−6.07941	+	13.3806i	−0.413651	+	0.910435i
$217$	4.40656	−	0.119225i	0.299137	−	0.00809353i
$218$	−9.93545	+	5.13716i	−0.672914	+	0.347932i
$219$	23.5895	−	10.7572i	1.59403	−	0.726907i
$220$	−14.1677	−	1.31860i	−0.955184	−	0.0888998i
$221$	−0.563447	−	0.325306i	−0.0379015	−	0.0218825i
$222$	−10.9961	+	14.0013i	−0.738009	+	0.939703i
$223$	−9.81386	+	16.9981i	−0.657185	+	1.13828i	0.324156	+	0.946004i	$0.394920\pi$
$223$	−9.81386	+	16.9981i	−0.657185	+	1.13828i	−0.981341	+	0.192274i	$0.938414\pi$
$224$	−4.68867	−	14.2132i	−0.313275	−	0.949662i
$225$	−5.77938	−	1.12050i	−0.385292	−	0.0747003i
$226$	−12.5843	−	24.3385i	−0.837096	−	1.61897i
$227$		−	6.76597i		−	0.449073i	−0.974466	−	0.224536i	$-0.927913\pi$
$227$		−	6.76597i		−	0.449073i	0.974466	−	0.224536i	$-0.0720868\pi$
$228$	−1.26052	+	1.46015i	−0.0834799	+	0.0967007i
$229$			10.4483i			0.690442i	0.938521	+	0.345221i	$0.112196\pi$
$229$			10.4483i			0.690442i	−0.938521	+	0.345221i	$0.887804\pi$
$230$	−0.0107223	+	0.230909i	−0.000707005	+	0.0152257i
$231$	−8.21884	−	16.8037i	−0.540760	−	1.10560i
$232$	1.73589	+	1.35505i	0.113966	+	0.0889631i
$233$	−6.50720	+	11.2708i	−0.426301	+	0.738375i	−0.996541	−	0.0831030i	$-0.973517\pi$
$233$	−6.50720	+	11.2708i	−0.426301	+	0.738375i	0.570240	+	0.821478i	$0.306850\pi$
$234$	1.79413	−	0.526988i	0.117286	−	0.0344503i
$235$	14.6874	−	8.47976i	0.958099	−	0.553159i
$236$	8.66490	+	6.13901i	0.564037	+	0.399616i
$237$	−14.7760	+	6.73809i	−0.959801	+	0.437686i
$238$	−2.85369	+	4.72897i	−0.184977	+	0.306534i
$239$	−1.07743	−	1.86617i	−0.0696934	−	0.120713i	0.829073	−	0.559141i	$-0.188869\pi$
$239$	−1.07743	−	1.86617i	−0.0696934	−	0.120713i	−0.898766	+	0.438428i	$0.855535\pi$
$240$	−11.6003	−	3.35279i	−0.748796	−	0.216422i
$241$	7.33327			0.472377			0.236189	−	0.971707i	$-0.424102\pi$
$241$	7.33327			0.472377			0.236189	+	0.971707i	$0.424102\pi$
$242$	7.99950	+	0.371457i	0.514227	+	0.0238782i
$243$	−7.18127	+	13.8358i	−0.460679	+	0.887567i
$244$	−18.7097	+	8.59866i	−1.19776	+	0.550473i
$245$	−10.8801	−	5.51987i	−0.695105	−	0.352652i
$246$	12.3932	−	4.97080i	0.790165	−	0.316927i
$247$	0.245428			0.0156162
$248$	−2.89976	+	3.71475i	−0.184135	+	0.235887i
$249$	−1.77799	+	2.49392i	−0.112675	+	0.158046i
$250$	0.796009	−	17.1424i	0.0503440	−	1.08418i
$251$			13.7808i			0.869836i	0.900470	+	0.434918i	$0.143223\pi$
$251$			13.7808i			0.869836i	−0.900470	+	0.434918i	$0.856777\pi$
$252$	−4.17822	−	15.3148i	−0.263203	−	0.964740i
$253$		−	0.382820i		−	0.0240677i
$254$	−2.85326	−	0.132491i	−0.179029	−	0.00831324i
$255$	1.84893	+	4.05452i	0.115785	+	0.253904i
$256$	14.9102	+	5.80395i	0.931888	+	0.362747i
$257$	9.52175			0.593950			0.296975	−	0.954885i	$-0.404022\pi$
$257$	9.52175			0.593950			0.296975	+	0.954885i	$0.404022\pi$
$258$	2.91052	−	3.70595i	0.181201	−	0.230722i
$259$	−0.520088	−	19.2225i	−0.0323167	−	1.19443i
$260$	0.641568	+	1.39597i	0.0397883	+	0.0865747i
$261$	1.76354	+	1.53153i	0.109160	+	0.0947990i
$262$	0.748585	−	16.1211i	0.0462477	−	0.995965i
$263$	−7.88332			−0.486107			−0.243053	−	0.970013i	$-0.578149\pi$
$263$	−7.88332			−0.486107			−0.243053	+	0.970013i	$0.578149\pi$
$264$	19.4481	+	4.65546i	1.19695	+	0.286524i
$265$	−12.0647	−	20.8967i	−0.741129	−	1.28367i
$266$	0.0403181	−	2.08314i	0.00247206	−	0.127726i
$267$	19.3999	+	13.8308i	1.18725	+	0.846429i
$268$	20.4926	+	14.5188i	1.25179	+	0.886880i
$269$	11.7678	−	6.79415i	0.717496	−	0.414246i	−0.0963345	−	0.995349i	$-0.530712\pi$
$269$	11.7678	−	6.79415i	0.717496	−	0.414246i	0.813830	+	0.581103i	$0.197379\pi$
$270$	−12.1013	−	4.19450i	−0.736459	−	0.255269i
$271$	−7.06232	+	12.2323i	−0.429005	+	0.743059i	−0.996785	−	0.0801213i	$-0.974469\pi$
$271$	−7.06232	+	12.2323i	−0.429005	+	0.743059i	0.567780	+	0.823181i	$0.307803\pi$
$272$	−1.95794	−	5.57057i	−0.118718	−	0.337766i
$273$	−1.12757	+	1.67570i	−0.0682437	+	0.101418i
$274$	−32.1601	−	1.49336i	−1.94287	−	0.0902171i
$275$			8.01021i			0.483034i
$276$	0.0608942	−	0.319115i	0.00366540	−	0.0192085i
$277$			0.108267i			0.00650512i	0.999995	+	0.00325256i	$0.00103532\pi$
$277$			0.108267i			0.00650512i	−0.999995	+	0.00325256i	$0.998965\pi$
$278$	−12.9288	+	6.68488i	−0.775417	+	0.400932i
$279$	−3.27743	+	3.77392i	−0.196214	+	0.225939i
$280$	11.9541	−	5.21616i	0.714396	−	0.311725i
$281$	6.79278	−	11.7654i	0.405223	−	0.701868i	−0.589124	−	0.808043i	$-0.700527\pi$
$281$	6.79278	−	11.7654i	0.405223	−	0.701868i	0.994347	+	0.106175i	$0.0338604\pi$
$282$	−22.1221	+	8.87295i	−1.31735	+	0.528376i
$283$	−22.7206	−	13.1177i	−1.35060	−	0.779768i	−0.362265	−	0.932075i	$-0.617997\pi$
$283$	−22.7206	−	13.1177i	−1.35060	−	0.779768i	−0.988333	+	0.152307i	$0.951330\pi$
$284$	11.5254	+	1.07268i	0.683909	+	0.0636519i
$285$	−1.36876	−	0.975829i	−0.0810784	−	0.0578031i
$286$	−1.16859	−	2.26010i	−0.0691003	−	0.133642i
$287$	−6.87096	+	12.6810i	−0.405580	+	0.748537i
$288$	15.4712	+	6.97431i	0.911651	+	0.410965i
$289$	7.41047	−	12.8353i	0.435910	−	0.755019i
$290$	−1.03558	+	1.61565i	−0.0608114	+	0.0948742i
$291$	−14.0981	−	10.0509i	−0.826443	−	0.589196i
$292$	−12.5017	−	27.2021i	−0.731604	−	1.59188i
$293$	27.9275	−	16.1239i	1.63154	−	0.941971i	0.647923	−	0.761706i	$-0.275638\pi$
$293$	27.9275	−	16.1239i	1.63154	−	0.941971i	0.983618	−	0.180265i	$-0.0576954\pi$
$294$	14.0378	+	9.84585i	0.818700	+	0.574222i
$295$	−4.62704	+	8.01427i	−0.269397	+	0.466609i
$296$	16.2046	+	12.6495i	0.941875	+	0.735235i
$297$	20.3415	+	6.00943i	1.18033	+	0.348702i
$298$	−0.574725	+	12.3770i	−0.0332930	+	0.716979i
$299$	−0.0357966	+	0.0206672i	−0.00207017	+	0.00119521i
$300$	−1.27416	+	6.67723i	−0.0735639	+	0.385510i
$301$	0.137660	+	5.08793i	0.00793462	+	0.293264i
$302$	−29.5449	−	1.37192i	−1.70012	−	0.0789450i
$303$	24.0657	+	2.31141i	1.38254	+	0.132787i
$304$	1.69032	+	1.45054i	0.0969464	+	0.0831944i
$305$	−8.97196	−	15.5399i	−0.513733	−	0.889811i
$306$	−1.76500	−	6.00897i	−0.100899	−	0.343510i
$307$		−	23.2012i		−	1.32416i	−0.749432	−	0.662081i	$-0.769673\pi$
$307$		−	23.2012i		−	1.32416i	0.749432	−	0.662081i	$-0.230327\pi$
$308$	−19.3752	+	9.54747i	−1.10400	+	0.544018i
$309$	0.349253	−	3.63632i	0.0198683	−	0.206863i
$310$	−3.45745	−	2.21612i	−0.196370	−	0.125867i
$311$	−13.9877	+	24.2275i	−0.793172	+	1.37381i	0.130822	+	0.991406i	$0.458238\pi$
$311$	−13.9877	+	24.2275i	−0.793172	+	1.37381i	−0.923994	+	0.382408i	$0.875095\pi$
$312$	−0.614619	−	2.06988i	−0.0347959	−	0.117184i
$313$	−4.04683	−	7.00931i	−0.228740	−	0.396190i	0.728695	−	0.684839i	$-0.240127\pi$
$313$	−4.04683	−	7.00931i	−0.228740	−	0.396190i	−0.957435	+	0.288649i	$0.906794\pi$
$314$	13.5052	+	8.65643i	0.762144	+	0.488511i
$315$	12.9511	−	4.86220i	0.729714	−	0.273954i
$316$	7.83075	+	17.0388i	0.440514	+	0.958507i
$317$	−6.72069	+	3.88019i	−0.377472	+	0.217933i	−0.676718	−	0.736243i	$-0.736598\pi$
$317$	−6.72069	+	3.88019i	−0.377472	+	0.217933i	0.299246	+	0.954176i	$0.403265\pi$
$318$	12.6241	+	31.4746i	0.707925	+	1.76501i
$319$	1.58907	−	2.75235i	0.0889707	−	0.154102i
$320$	−3.83196	+	13.4062i	−0.214213	+	0.749431i
$321$	−3.35951	+	4.71226i	−0.187509	+	0.263013i
$322$	0.169538	+	0.307229i	0.00944798	+	0.0171212i
$323$		−	0.821996i		−	0.0457371i
$324$	16.0006	+	8.24508i	0.888921	+	0.458060i
$325$	0.749017	−	0.432445i	0.0415480	−	0.0239877i
$326$	11.1347	+	7.13702i	0.616695	+	0.395283i
$327$	5.68378	+	12.4640i	0.314314	+	0.689258i
$328$	−5.78195	−	14.2935i	−0.319255	−	0.789227i
$329$	12.2648	−	22.6358i	0.676178	−	1.24795i
$330$	−2.46895	+	17.2510i	−0.135911	+	0.949636i
$331$	23.5949	−	13.6225i	1.29690	−	0.748763i	0.317029	−	0.948416i	$-0.397315\pi$
$331$	23.5949	−	13.6225i	1.29690	−	0.748763i	0.979867	+	0.199653i	$0.0639815\pi$
$332$	2.88577	+	2.04454i	0.158377	+	0.112209i
$333$	16.4627	+	14.2969i	0.902153	+	0.783466i
$334$	−4.00391	−	7.74371i	−0.219084	−	0.423717i
$335$	−10.9430	+	18.9539i	−0.597881	+	1.03556i
$336$	−17.6697	+	4.87672i	−0.963960	+	0.266047i
$337$	4.28276	+	7.41795i	0.233297	+	0.404082i	0.958776	−	0.284162i	$-0.0917153\pi$
$337$	4.28276	+	7.41795i	0.233297	+	0.404082i	−0.725480	+	0.688244i	$0.758382\pi$
$338$	9.77277	−	15.2469i	0.531569	−	0.829320i
$339$	−30.5325	+	13.9233i	−1.65830	+	0.756212i
$340$	4.67544	−	2.14876i	0.253562	−	0.116533i
$341$	5.88995	+	3.40057i	0.318959	+	0.184151i
$342$	1.70998	+	1.63015i	0.0924649	+	0.0881485i
$343$	−18.4593	+	1.50125i	−0.996709	+	0.0810600i
$344$	−4.28915	−	3.34814i	−0.231256	−	0.180520i
$345$	0.281812	+	0.0270668i	0.0151723	+	0.00145723i
$346$	−23.7643	+	12.2874i	−1.27758	+	0.660576i
$347$	21.3740	+	12.3403i	1.14742	+	0.662460i	0.948256	−	0.317507i	$-0.102846\pi$
$347$	21.3740	+	12.3403i	1.14742	+	0.662460i	0.199159	+	0.979967i	$0.436179\pi$
$348$	1.76244	−	2.04156i	0.0944768	−	0.109439i
$349$	−10.2777	−	5.93384i	−0.550153	−	0.317631i	0.199030	−	0.979993i	$-0.436221\pi$
$349$	−10.2777	−	5.93384i	−0.550153	−	0.317631i	−0.749184	+	0.662362i	$0.769554\pi$
$350$	−3.54745	−	6.42853i	−0.189619	−	0.343619i
$351$	−0.536244	−	2.22652i	−0.0286226	−	0.118843i
$352$	5.30942	−	22.4725i	0.282993	−	1.19779i
$353$	−10.2772			−0.547000			−0.273500	−	0.961872i	$-0.588181\pi$
$353$	−10.2772			−0.547000			−0.273500	+	0.961872i	$0.588181\pi$
$354$	8.03307	−	10.2285i	0.426953	−	0.543637i
$355$			10.0872i			0.535373i
$356$	15.9043	−	22.4481i	0.842924	−	1.18975i
$357$	5.61232	+	3.77650i	0.297036	+	0.199873i
$358$	−12.6274	+	6.52905i	−0.667380	+	0.345071i
$359$	14.1920	−	24.5812i	0.749024	−	1.29735i	−0.199267	−	0.979945i	$-0.563856\pi$
$359$	14.1920	−	24.5812i	0.749024	−	1.29735i	0.948291	−	0.317403i	$-0.102811\pi$
$360$	−4.80217	+	13.9875i	−0.253096	+	0.737208i
$361$	−9.34496	−	16.1859i	−0.491840	−	0.851892i
$362$	1.12897	−	24.3128i	0.0593372	−	1.27785i
$363$	0.937691	−	9.76297i	0.0492160	−	0.512423i
$364$	1.93877	+	1.29630i	0.101619	+	0.0679443i
$365$	22.5935	−	13.0444i	1.18260	−	0.682775i
$366$	9.38797	+	23.4062i	0.490717	+	1.22346i
$367$	25.1896			1.31488			0.657442	−	0.753505i	$-0.271638\pi$
$367$	25.1896			1.31488			0.657442	+	0.753505i	$0.271638\pi$
$368$	−0.368688	−	0.0692278i	−0.0192192	−	0.00360875i
$369$	−5.33179	−	15.4604i	−0.277562	−	0.804837i
$370$	−9.66724	+	15.0822i	−0.502576	+	0.784087i
$371$	−32.2054	−	17.4499i	−1.67202	−	0.905952i
$372$	4.36889	+	3.77158i	0.226516	+	0.195547i
$373$		−	26.7703i		−	1.38611i	−0.720884	−	0.693056i	$-0.756264\pi$
$373$		−	26.7703i		−	1.38611i	0.720884	−	0.693056i	$-0.243736\pi$
$374$	−7.56960	+	3.91389i	−0.391415	+	0.202382i
$375$	−20.9214	−	2.00941i	−1.08038	−	0.103766i
$376$	10.3209	+	25.5141i	0.532258	+	1.31579i
$377$	−0.343154			−0.0176733
$378$	−18.9863	+	4.18575i	−0.976550	+	0.215292i
$379$			11.9195i			0.612263i	0.951989	+	0.306132i	$0.0990348\pi$
$379$			11.9195i			0.612263i	−0.951989	+	0.306132i	$0.900965\pi$
$380$	−1.12213	+	1.58382i	−0.0575638	+	0.0812484i
$381$	−0.334455	+	3.48225i	−0.0171347	+	0.178401i
$382$	−0.311972	−	0.603365i	−0.0159619	−	0.0308708i
$383$	−24.5585			−1.25488			−0.627439	−	0.778665i	$-0.715897\pi$
$383$	−24.5585			−1.25488			−0.627439	+	0.778665i	$0.715897\pi$
$384$	8.00053	−	17.8883i	0.408275	−	0.912859i
$385$	−9.84898	−	16.0407i	−0.501951	−	0.817512i
$386$	15.0261	−	23.4427i	0.764807	−	1.19320i
$387$	−4.35747	−	3.78420i	−0.221503	−	0.192362i
$388$	−11.5578	+	16.3132i	−0.586756	+	0.828177i
$389$			9.31114i			0.472094i	0.971742	+	0.236047i	$0.0758519\pi$
$389$			9.31114i			0.472094i	−0.971742	+	0.236047i	$0.924148\pi$
$390$	1.74639	−	0.700460i	0.0884320	−	0.0354691i
$391$	0.0692192	+	0.119891i	0.00350057	+	0.00606316i
$392$	11.3212	−	16.2429i	0.571805	−	0.820389i
$393$	−19.6750	−	1.88970i	−0.992472	−	0.0953226i
$394$	−0.562868	+	12.1216i	−0.0283569	+	0.610679i
$395$	−14.1521	+	8.17071i	−0.712069	+	0.411113i
$396$	6.86980	−	23.5087i	0.345220	−	1.18136i
$397$	−16.4954	−	9.52364i	−0.827882	−	0.477978i	0.0252450	−	0.999681i	$-0.491963\pi$
$397$	−16.4954	−	9.52364i	−0.827882	−	0.477978i	−0.853127	+	0.521703i	$0.825297\pi$
$398$	−5.63032	−	10.8892i	−0.282222	−	0.545828i
$399$	−2.54577	−	0.175176i	−0.127448	−	0.00876978i
$400$	7.71451	+	1.44854i	0.385726	+	0.0724269i
$401$	−8.77613			−0.438259			−0.219130	−	0.975696i	$-0.570322\pi$
$401$	−8.77613			−0.438259			−0.219130	+	0.975696i	$0.570322\pi$
$402$	18.9983	−	24.1905i	0.947551	−	1.20651i
$403$		−	0.734342i		−	0.0365802i
$404$	2.58704	−	27.7964i	0.128710	−	1.38292i
$405$	−5.86205	+	14.5495i	−0.291288	+	0.722970i
$406$	−0.0563722	+	2.91262i	−0.00279771	+	0.144551i
$407$	14.8341	−	25.6934i	0.735298	−	1.27357i
$408$	−6.93252	+	2.05850i	−0.343211	+	0.101911i
$409$	18.8358	−	32.6246i	0.931372	−	1.61318i	0.150394	−	0.988626i	$-0.451946\pi$
$409$	18.8358	−	32.6246i	0.931372	−	1.61318i	0.780978	−	0.624558i	$-0.214721\pi$
$410$	11.9355	−	6.17128i	0.589451	−	0.304778i
$411$	−3.76977	+	39.2498i	−0.185949	+	1.93605i
$412$	−4.20004	−	0.390901i	−0.206921	−	0.0192583i
$413$	0.379945	+	14.0428i	0.0186959	+	0.691000i
$414$	−0.386679	−	0.0937690i	−0.0190043	−	0.00460850i
$415$	−1.54099	+	2.66908i	−0.0756444	+	0.131020i
$416$	−2.38799	+	0.716745i	−0.117081	+	0.0351413i
$417$	7.39618	+	16.2191i	0.362193	+	0.794252i
$418$	1.73468	−	2.70634i	0.0848461	−	0.132372i
$419$	17.9683	−	10.3740i	0.877808	−	0.506803i	0.00787313	−	0.999969i	$-0.497494\pi$
$419$	17.9683	−	10.3740i	0.877808	−	0.506803i	0.869935	+	0.493166i	$0.164161\pi$
$420$	−5.65846	−	14.9381i	−0.276104	−	0.728903i
$421$	−7.48929	−	4.32395i	−0.365006	−	0.210736i	0.306269	−	0.951945i	$-0.400919\pi$
$421$	−7.48929	−	4.32395i	−0.365006	−	0.210736i	−0.671274	+	0.741209i	$0.734253\pi$
$422$	25.5542	−	13.2129i	1.24396	−	0.643193i
$423$	9.51732	+	27.5971i	0.462748	+	1.34181i
$424$	36.3006	−	14.6842i	1.76291	−	0.713127i
$425$	−1.44836	−	2.50863i	−0.0702557	−	0.121687i
$426$	2.00849	−	14.0337i	0.0973118	−	0.679936i
$427$	−23.9497	−	12.9767i	−1.15901	−	0.627984i
$428$	5.45266	+	3.86316i	0.263564	+	0.186733i
$429$	−2.83528	+	1.29294i	−0.136888	+	0.0624235i
$430$	2.55879	−	3.99206i	0.123396	−	0.192514i
$431$	1.28014	+	2.21727i	0.0616623	+	0.106802i	0.895209	−	0.445647i	$-0.147026\pi$
$431$	1.28014	+	2.21727i	0.0616623	+	0.106802i	−0.833546	+	0.552450i	$0.813693\pi$
$432$	9.46608	−	18.5039i	0.455437	−	0.890268i
$433$	23.7470			1.14121			0.570604	−	0.821225i	$-0.306709\pi$
$433$	23.7470			1.14121			0.570604	+	0.821225i	$0.306709\pi$
$434$	−6.23294	−	0.120635i	−0.299190	−	0.00579067i
$435$	1.91378	+	1.36439i	0.0917588	+	0.0654176i
$436$	14.3727	−	6.60547i	0.688328	−	0.316345i
$437$	−0.0452261	−	0.0261113i	−0.00216346	−	0.00124907i
$438$	−34.0304	+	13.6492i	−1.62603	+	0.652185i
$439$	−0.294268	−	0.509688i	−0.0140447	−	0.0243261i	0.858918	−	0.512114i	$-0.171137\pi$
$439$	−0.294268	−	0.509688i	−0.0140447	−	0.0243261i	−0.872962	+	0.487788i	$0.837804\pi$
$440$	19.9281	+	2.79215i	0.950033	+	0.133110i
$441$	12.8921	−	16.5769i	0.613909	−	0.789377i
$442$	0.774637	+	0.496518i	0.0368457	+	0.0236170i
$443$	−9.36751	+	5.40833i	−0.445064	+	0.256958i	−0.705743	−	0.708468i	$-0.749387\pi$
$443$	−9.36751	+	5.40833i	−0.445064	+	0.256958i	0.260679	+	0.965425i	$0.416053\pi$
$444$	16.4525	−	19.0581i	0.780803	−	0.904459i
$445$	20.7625	+	11.9872i	0.984235	+	0.568248i
$446$	14.9790	−	23.3693i	0.709277	−	1.10657i
$447$	15.1055	+	1.45081i	0.714464	+	0.0686211i
$448$	5.69128	+	20.3865i	0.268888	+	0.963172i
$449$	6.98181			0.329492			0.164746	−	0.986336i	$-0.447320\pi$
$449$	6.98181			0.329492			0.164746	+	0.986336i	$0.447320\pi$
$450$	8.09097	+	1.96204i	0.381412	+	0.0924917i
$451$	−19.2710	+	11.1261i	−0.907435	+	0.523908i
$452$	16.1812	+	35.2083i	0.761098	+	1.65606i
$453$	−3.46321	+	36.0580i	−0.162716	+	1.69415i
$454$	−0.443837	+	9.55822i	−0.0208303	+	0.448590i
$455$	−0.968220	+	1.78694i	−0.0453909	+	0.0837732i
$456$	1.87651	−	1.98005i	0.0878755	−	0.0927244i
$457$	−0.501151	−	0.868019i	−0.0234429	−	0.0406042i	0.854066	−	0.520165i	$-0.174129\pi$
$457$	−0.501151	−	0.868019i	−0.0234429	−	0.0406042i	−0.877509	+	0.479560i	$0.840796\pi$
$458$	0.685390	−	14.7602i	0.0320262	−	0.689699i
$459$	−7.45713	+	1.79601i	−0.348069	+	0.0838303i
$460$	0.0302945	−	0.325499i	0.00141249	−	0.0151765i
$461$	−17.2805	−	9.97693i	−0.804835	−	0.464672i	0.0403240	−	0.999187i	$-0.487161\pi$
$461$	−17.2805	−	9.97693i	−0.804835	−	0.464672i	−0.845159	+	0.534515i	$0.820494\pi$
$462$	10.5084	+	24.2776i	0.488895	+	1.12950i
$463$	15.9559	+	27.6364i	0.741534	+	1.28437i	0.951797	+	0.306729i	$0.0992346\pi$
$463$	15.9559	+	27.6364i	0.741534	+	1.28437i	−0.210263	+	0.977645i	$0.567432\pi$
$464$	−2.36338	−	2.02813i	−0.109717	−	0.0941537i
$465$	−2.91976	+	4.09545i	−0.135401	+	0.189922i
$466$	9.93202	−	15.4953i	0.460092	−	0.717806i
$467$	11.9419	+	6.89466i	0.552605	+	0.319047i	0.750172	−	0.661243i	$-0.229971\pi$
$467$	11.9419	+	6.89466i	0.552605	+	0.319047i	−0.197567	+	0.980289i	$0.563304\pi$
$468$	−2.56913	+	0.626779i	−0.118758	+	0.0289729i
$469$	0.898576	+	33.2114i	0.0414924	+	1.53356i
$470$	−21.3050	+	11.0158i	−0.982726	+	0.508122i
$471$	11.4050	−	15.9973i	0.525513	−	0.737118i
$472$	−11.8381	−	9.24093i	−0.544894	−	0.425348i
$473$	−3.92638	+	6.80069i	−0.180535	+	0.312696i
$474$	21.3159	−	8.54957i	0.979070	−	0.392695i
$475$	0.946322	+	0.546359i	0.0434202	+	0.0250687i
$476$	4.34159	−	6.49338i	0.198997	−	0.297624i
$477$	39.2641	−	13.5409i	1.79778	−	0.619995i
$478$	1.39966	+	2.70700i	0.0640191	+	0.123815i
$479$	−23.4324			−1.07065			−0.535326	−	0.844645i	$-0.679811\pi$
$479$	−23.4324			−1.07065			−0.535326	+	0.844645i	$0.679811\pi$
$480$	16.1677	+	5.49742i	0.737951	+	0.250922i
$481$	−3.20337			−0.146061
$482$	−10.3596	−	0.481051i	−0.471869	−	0.0219113i
$483$	0.386062	−	0.188826i	0.0175664	−	0.00859189i
$484$	−11.2765	−	1.04951i	−0.512566	−	0.0477049i
$485$	−15.0883	−	8.71121i	−0.685122	−	0.395556i
$486$	11.0525	−	19.0746i	0.501353	−	0.865243i
$487$	0.903730	+	1.56531i	0.0409519	+	0.0709308i	0.885775	−	0.464115i	$-0.153628\pi$
$487$	0.903730	+	1.56531i	0.0409519	+	0.0709308i	−0.844823	+	0.535046i	$0.820294\pi$
$488$	26.9950	−	10.9199i	1.22201	−	0.494322i
$489$	9.40311	−	13.1894i	0.425223	−	0.596445i
$490$	15.0081	+	8.51160i	0.677999	+	0.384515i
$491$	0.108395	−	0.0625820i	0.00489180	−	0.00282428i	−0.497552	−	0.867434i	$-0.665768\pi$
$491$	0.108395	−	0.0625820i	0.00489180	−	0.00282428i	0.502444	+	0.864610i	$0.332434\pi$
$492$	−17.8339	+	6.20923i	−0.804015	+	0.279934i
$493$			1.14930i			0.0517620i
$494$	−0.346714	−	0.0160997i	−0.0155994	−	0.000724359i
$495$	20.9532	+	4.06240i	0.941775	+	0.182591i
$496$	4.34015	−	5.05758i	0.194879	−	0.227092i
$497$	8.01217	+	13.0492i	0.359395	+	0.585336i
$498$	2.67534	−	3.40650i	0.119885	−	0.152649i
$499$			40.8368i			1.82810i	0.405597	+	0.914052i	$0.367064\pi$
$499$			40.8368i			1.82810i	−0.405597	+	0.914052i	$0.632936\pi$
$500$	−2.24903	+	24.1647i	−0.100580	+	1.08068i
$501$	−9.71443	+	4.42995i	−0.434009	+	0.197916i
$502$	0.903998	−	19.4680i	0.0403474	−	0.868900i
$503$	−18.9469			−0.844798			−0.422399	−	0.906410i	$-0.638812\pi$
$503$	−18.9469			−0.844798			−0.422399	+	0.906410i	$0.638812\pi$
$504$	4.89791	+	21.9091i	0.218170	+	0.975911i
$505$	24.3278			1.08257
$506$	−0.0251124	+	0.540806i	−0.00111638	+	0.0240418i
$507$	−18.0603	−	12.8758i	−0.802088	−	0.571832i
$508$	4.02208	+	0.374338i	0.178451	+	0.0166086i
$509$			3.12826i			0.138658i	0.997594	+	0.0693289i	$0.0220858\pi$
$509$			3.12826i			0.138658i	−0.997594	+	0.0693289i	$0.977914\pi$
$510$	−2.34600	−	5.84908i	−0.103883	−	0.259001i
$511$	18.8668	−	34.8206i	0.834620	−	1.54037i
$512$	−20.6828	−	9.17727i	−0.914059	−	0.405582i
$513$	2.09740	−	1.99325i	0.0926025	−	0.0880039i
$514$	−13.4513	−	0.624611i	−0.593311	−	0.0275504i
$515$		−	3.67592i		−	0.161980i
$516$	−4.35477	+	5.04444i	−0.191708	+	0.222069i
$517$	34.3990	−	19.8603i	1.51287	−	0.873453i
$518$	−0.526239	+	27.1895i	−0.0231216	+	1.19464i
$519$	13.5949	+	29.8122i	0.596749	+	1.30861i
$520$	−0.814763	−	2.01417i	−0.0357297	−	0.0883271i
$521$	−6.24046	−	10.8088i	−0.273400	−	0.473542i	0.696330	−	0.717721i	$-0.254815\pi$
$521$	−6.24046	−	10.8088i	−0.273400	−	0.473542i	−0.969730	+	0.244179i	$0.921481\pi$
$522$	−2.39087	−	2.27926i	−0.104645	−	0.0997604i
$523$	−5.46252	−	3.15378i	−0.238859	−	0.137905i	0.375793	−	0.926704i	$-0.377370\pi$
$523$	−5.46252	−	3.15378i	−0.238859	−	0.137905i	−0.614652	+	0.788798i	$0.710704\pi$
$524$	−2.11504	+	22.7250i	−0.0923959	+	0.992748i
$525$	−8.07805	+	3.95104i	−0.352555	+	0.172438i
$526$	11.1367	+	0.517133i	0.485583	+	0.0225481i
$527$	−2.45948			−0.107137
$528$	−27.1688	−	7.85249i	−1.18237	−	0.341736i
$529$	−22.9912			−0.999618
$530$	15.6729	+	30.3120i	0.680788	+	1.31667i
$531$	−12.0267	−	10.4445i	−0.521914	−	0.453251i
$532$	−0.193608	+	2.94019i	−0.00839396	+	0.127473i
$533$	2.08075	+	1.20132i	0.0901275	+	0.0520351i
$534$	−26.4988	−	20.8112i	−1.14671	−	0.900588i
$535$	−2.91171	+	5.04323i	−0.125884	+	0.218038i
$536$	−27.9973	−	21.8549i	−1.20930	−	0.943989i
$537$	7.22378	+	15.8410i	0.311729	+	0.683590i
$538$	−17.0700	+	8.82608i	−0.735938	+	0.380519i
$539$	−25.4820	−	12.9280i	−1.09759	−	0.556847i
$540$	16.8202	+	6.71935i	0.723825	+	0.289155i
$541$	−8.78487	−	5.07195i	−0.377691	−	0.218060i	0.299122	−	0.954215i	$-0.403306\pi$
$541$	−8.78487	−	5.07195i	−0.377691	−	0.218060i	−0.676813	+	0.736155i	$0.736640\pi$
$542$	10.7793	−	16.8172i	0.463011	−	0.722360i
$543$	−29.6725	−	2.84992i	−1.27337	−	0.122302i
$544$	2.40054	+	7.99794i	0.102923	+	0.342909i
$545$	6.89224	+	11.9377i	0.295231	+	0.511355i
$546$	1.70283	−	2.29329i	0.0728745	−	0.0981436i
$547$	27.0852	+	15.6377i	1.15808	+	0.668618i	0.950843	−	0.309673i	$-0.100219\pi$
$547$	27.0852	+	15.6377i	1.15808	+	0.668618i	0.207237	+	0.978291i	$0.433553\pi$
$548$	45.3344	+	4.21931i	1.93659	+	0.180240i
$549$	29.1989	−	10.0697i	1.24618	−	0.429766i
$550$	0.525457	−	11.3160i	0.0224056	−	0.482514i
$551$	−0.216774	−	0.375463i	−0.00923488	−	0.0159953i
$552$	−0.106958	+	0.446816i	−0.00455244	+	0.0190178i
$553$	−11.8178	+	21.8108i	−0.502542	+	0.927491i
$554$	0.00710213	−	0.152948i	0.000301740	−	0.00649812i
$555$	17.8653	+	12.7367i	0.758341	+	0.540643i
$556$	18.7029	−	8.59556i	0.793180	−	0.364533i
$557$	−30.6679	+	17.7061i	−1.29944	+	0.750232i	−0.980307	−	0.197478i	$-0.936725\pi$
$557$	−30.6679	+	17.7061i	−1.29944	+	0.750232i	−0.319132	+	0.947710i	$0.603391\pi$
$558$	4.87756	−	5.11639i	0.206483	−	0.216594i
$559$	0.847891			0.0358619
$560$	−17.2297	+	6.58465i	−0.728086	+	0.278252i
$561$	4.33034	+	9.49600i	0.182827	+	0.400922i
$562$	−10.3679	+	16.1753i	−0.437343	+	0.682316i
$563$	−21.2640	−	12.2768i	−0.896171	−	0.517405i	−0.0202150	−	0.999796i	$-0.506435\pi$
$563$	−21.2640	−	12.2768i	−0.896171	−	0.517405i	−0.875956	+	0.482391i	$0.839768\pi$
$564$	31.8338	−	11.0836i	1.34044	−	0.466702i
$565$	−29.2433	+	16.8837i	−1.23028	+	0.710301i
$566$	31.2367	+	20.0217i	1.31298	+	0.841577i
$567$	3.97315	+	23.4779i	0.166856	+	0.985981i
$568$	−16.2115	−	2.27142i	−0.680220	−	0.0953066i
$569$	20.8026	+	36.0312i	0.872091	+	1.51051i	0.859830	+	0.510581i	$0.170570\pi$
$569$	20.8026	+	36.0312i	0.872091	+	1.51051i	0.0122611	+	0.999925i	$0.496097\pi$
$570$	1.86962	+	1.46833i	0.0783099	+	0.0615017i
$571$	−4.90697	−	2.83304i	−0.205350	−	0.118559i	0.393798	−	0.919197i	$-0.371161\pi$
$571$	−4.90697	−	2.83304i	−0.205350	−	0.118559i	−0.599149	+	0.800638i	$0.704494\pi$
$572$	1.50260	+	3.26948i	0.0628269	+	0.136704i
$573$	−0.756917	+	0.345167i	−0.0316207	+	0.0144196i
$574$	10.5384	−	17.4636i	0.439864	−	0.728918i
$575$	−0.184033			−0.00767470
$576$	−21.3986	−	10.8674i	−0.891607	−	0.452810i
$577$	−4.55413	−	7.88798i	−0.189591	−	0.328381i	0.755523	−	0.655122i	$-0.227383\pi$
$577$	−4.55413	−	7.88798i	−0.189591	−	0.328381i	−0.945114	+	0.326741i	$0.894049\pi$
$578$	−11.3107	+	17.6462i	−0.470463	+	0.733986i
$579$	−27.7686	−	19.7970i	−1.15402	−	0.822736i
$580$	1.56894	−	2.21448i	0.0651467	−	0.0919513i
$581$	0.126537	+	4.67682i	0.00524965	+	0.194027i
$582$	19.2569	+	15.1237i	0.798224	+	0.626896i
$583$	−28.2565	−	48.9417i	−1.17026	−	2.02696i
$584$	15.8766	+	39.2483i	0.656977	+	1.62410i
$585$	−0.751328	−	2.17860i	−0.0310636	−	0.0900741i
$586$	−40.5106	+	20.9462i	−1.67348	+	0.865278i
$587$	−20.4803	−	11.8243i	−0.845312	−	0.488041i	0.0137543	−	0.999905i	$-0.495622\pi$
$587$	−20.4803	−	11.8243i	−0.845312	−	0.488041i	−0.859066	+	0.511864i	$0.828955\pi$
$588$	−19.1852	−	14.8300i	−0.791183	−	0.611579i
$589$	0.803482	−	0.463891i	0.0331069	−	0.0191143i
$590$	7.06230	−	11.0182i	0.290750	−	0.453610i
$591$	14.7938	+	1.42088i	0.608536	+	0.0584473i
$592$	−22.0624	−	18.9328i	−0.906758	−	0.778133i
$593$	−6.72661	+	11.6508i	−0.276229	+	0.478442i	−0.970444	−	0.241325i	$-0.922418\pi$
$593$	−6.72661	+	11.6508i	−0.276229	+	0.478442i	0.694216	+	0.719767i	$0.255751\pi$
$594$	−28.3421	−	9.82383i	−1.16289	−	0.403077i
$595$	5.98489	+	3.24280i	0.245357	+	0.132942i
$596$	1.62382	−	17.4471i	0.0665142	−	0.714663i
$597$	−13.6605	+	6.22942i	−0.559086	+	0.254953i
$598$	0.0519253	−	0.0268482i	0.00212338	−	0.00109790i
$599$	−11.2136	+	19.4226i	−0.458177	+	0.793586i	−0.998865	−	0.0476375i	$-0.984831\pi$
$599$	−11.2136	+	19.4226i	−0.458177	+	0.793586i	0.540688	+	0.841223i	$0.318164\pi$
$600$	2.23802	−	9.34929i	0.0913667	−	0.381683i
$601$	17.0528	−	29.5363i	0.695598	−	1.20481i	−0.274381	−	0.961621i	$-0.588473\pi$
$601$	17.0528	−	29.5363i	0.695598	−	1.20481i	0.969979	−	0.243190i	$-0.0781937\pi$
$602$	0.139289	−	7.19671i	0.00567698	−	0.293316i
$603$	−28.4433	−	24.7013i	−1.15830	−	1.00591i
$604$	41.6478	+	3.87619i	1.69462	+	0.157720i
$605$		−	9.86928i		−	0.401243i
$606$	−33.8458	−	4.84398i	−1.37489	−	0.196773i
$607$	38.2864			1.55400			0.776998	−	0.629503i	$-0.216741\pi$
$607$	38.2864			1.55400			0.776998	+	0.629503i	$0.216741\pi$
$608$	−2.29275	−	2.16005i	−0.0929831	−	0.0876017i
$609$	3.55947	+	0.244929i	0.144237	+	0.00992503i
$610$	11.6552	+	22.5416i	0.471906	+	0.912683i
$611$	−3.71418	−	2.14438i	−0.150260	−	0.0867524i
$612$	2.09923	+	8.60460i	0.0848563	+	0.347820i
$613$	14.3706	−	8.29685i	0.580422	−	0.335107i	−0.180879	−	0.983505i	$-0.557894\pi$
$613$	14.3706	−	8.29685i	0.580422	−	0.335107i	0.761301	+	0.648399i	$0.224561\pi$
$614$	−1.52196	+	32.7761i	−0.0614213	+	1.32274i
$615$	−6.82793	−	14.9730i	−0.275329	−	0.603768i
$616$	27.9975	−	12.2166i	1.12805	−	0.492223i
$617$	−21.8216	−	37.7961i	−0.878505	−	1.52162i	−0.852981	−	0.521941i	$-0.825208\pi$
$617$	−21.8216	−	37.7961i	−0.878505	−	1.52162i	−0.0255238	−	0.999674i	$-0.508125\pi$
$618$	−0.731924	+	5.11409i	−0.0294423	+	0.205719i
$619$			24.5259i			0.985780i	0.870092	+	0.492890i	$0.164059\pi$
$619$			24.5259i			0.985780i	−0.870092	+	0.492890i	$0.835941\pi$
$620$	4.73894	+	3.35750i	0.190320	+	0.134840i
$621$	−0.138065	+	0.467342i	−0.00554037	+	0.0187538i
$622$	21.3496	−	33.3084i	0.856043	−	1.33554i
$623$	36.3805	−	0.984319i	1.45755	−	0.0394359i
$624$	0.732485	+	2.96442i	0.0293229	+	0.118672i
$625$	−11.3376			−0.453504
$626$	5.25712	+	10.1675i	0.210117	+	0.406373i
$627$	−3.20574	−	2.28547i	−0.128025	−	0.0912728i
$628$	−18.5109	−	13.1148i	−0.738664	−	0.523337i
$629$			10.7288i			0.427787i
$630$	−18.6149	+	6.01922i	−0.741636	+	0.239811i
$631$	22.7155			0.904290			0.452145	−	0.891944i	$-0.350659\pi$
$631$	22.7155			0.904290			0.452145	+	0.891944i	$0.350659\pi$
$632$	−9.94472	−	24.5842i	−0.395580	−	0.977908i
$633$	−14.6188	−	32.0575i	−0.581045	−	1.27417i
$634$	9.74879	−	5.04065i	0.387174	−	0.200190i
$635$			3.52017i			0.139694i
$636$	−15.7693	−	45.2920i	−0.625294	−	1.79594i
$637$	0.166827	+	3.08071i	0.00660993	+	0.122062i
$638$	−2.42541	+	3.78397i	−0.0960230	+	0.149809i
$639$	−17.0455	−	3.30477i	−0.674308	−	0.130735i
$640$	6.29280	−	18.6875i	0.248745	−	0.738688i
$641$	−11.0046			−0.434657			−0.217329	−	0.976098i	$-0.569734\pi$
$641$	−11.0046			−0.434657			−0.217329	+	0.976098i	$0.569734\pi$
$642$	5.05506	−	6.43659i	0.199507	−	0.254032i
$643$	−3.26855	+	1.88710i	−0.128899	+	0.0744198i	−0.563063	−	0.826414i	$-0.690377\pi$
$643$	−3.26855	+	1.88710i	−0.128899	+	0.0744198i	0.434164	+	0.900834i	$0.357044\pi$
$644$	−0.219351	−	0.445141i	−0.00864365	−	0.0175410i
$645$	−4.72871	−	3.37124i	−0.186193	−	0.132742i
$646$	−0.0539216	+	1.16123i	−0.00212152	+	0.0456878i
$647$	−17.0435	−	29.5202i	−0.670050	−	1.16056i	−0.977890	−	0.209122i	$-0.932939\pi$
$647$	−17.0435	−	29.5202i	−0.670050	−	1.16056i	0.307840	−	0.951438i	$-0.400394\pi$
$648$	−22.0630	−	12.6974i	−0.866717	−	0.498799i
$649$	−10.8369	+	18.7700i	−0.425385	+	0.736788i
$650$	−1.08650	+	0.561777i	−0.0426159	+	0.0220347i
$651$	−0.524142	+	7.61717i	−0.0205428	+	0.298541i
$652$	−15.2618	−	10.8128i	−0.597696	−	0.423463i
$653$			16.5790i			0.648786i	0.945922	+	0.324393i	$0.105160\pi$
$653$			16.5790i			0.648786i	−0.945922	+	0.324393i	$0.894840\pi$
$654$	−7.21181	−	17.9806i	−0.282004	−	0.703096i
$655$	−19.8892			−0.777136
$656$	7.23049	+	20.5716i	0.282303	+	0.803186i
$657$	14.6405	+	42.4524i	0.571179	+	1.65623i
$658$	−18.8112	+	31.1729i	−0.733337	+	1.21524i
$659$	11.2538	+	6.49737i	0.438385	+	0.253102i	0.702912	−	0.711276i	$-0.251883\pi$
$659$	11.2538	+	6.49737i	0.438385	+	0.253102i	−0.264527	+	0.964378i	$0.585216\pi$
$660$	4.61950	−	24.2084i	0.179814	−	0.942310i
$661$	30.0991	+	17.3777i	1.17072	+	0.675914i	0.953849	−	0.300287i	$-0.0970824\pi$
$661$	30.0991	+	17.3777i	1.17072	+	0.675914i	0.216869	+	0.976201i	$0.430416\pi$
$662$	−34.2260	+	17.6967i	−1.33023	+	0.687800i
$663$	0.654169	−	0.917579i	0.0254058	−	0.0356358i
$664$	−3.94258	−	3.07761i	−0.153002	−	0.119434i
$665$	−2.56682	+	0.0694487i	−0.0995372	+	0.00269310i
$666$	−22.3189	−	21.2771i	−0.864841	−	0.824469i
$667$	0.0632346	+	0.0365085i	0.00244845	+	0.00141361i
$668$	5.14832	+	11.2021i	0.199194	+	0.433423i
$669$	−27.6816	−	19.7350i	−1.07023	−	0.763000i
$670$	16.7024	−	26.0581i	0.645272	−	1.00671i
$671$	−21.0130	−	36.3956i	−0.811199	−	1.40504i
$672$	25.2817	−	5.73019i	0.975263	−	0.221047i
$673$	−18.6142	+	32.2407i	−0.717524	+	1.24279i	0.244454	+	0.969661i	$0.421391\pi$
$673$	−18.6142	+	32.2407i	−0.717524	+	1.24279i	−0.961978	+	0.273127i	$0.911942\pi$
$674$	−5.56361	−	10.7602i	−0.214302	−	0.414468i
$675$	2.88891	−	9.77877i	0.111194	−	0.376385i
$676$	−14.8061	+	20.8980i	−0.569465	+	0.803771i
$677$	−1.09627	+	0.632932i	−0.0421331	+	0.0243256i	−0.520919	−	0.853606i	$-0.674410\pi$
$677$	−1.09627	+	0.632932i	−0.0421331	+	0.0243256i	0.478785	+	0.877932i	$0.341077\pi$
$678$	44.0463	−	17.6665i	1.69159	−	0.678478i
$679$	−26.4380	+	0.715313i	−1.01460	+	0.0274512i
$680$	−6.74592	+	2.72883i	−0.258694	+	0.104646i
$681$	11.6653	+	1.12040i	0.447016	+	0.0429339i
$682$	−8.09761	−	5.19032i	−0.310074	−	0.198748i
$683$	−12.1664	+	7.02429i	−0.465535	+	0.268777i	−0.714369	−	0.699769i	$-0.753286\pi$
$683$	−12.1664	+	7.02429i	−0.465535	+	0.268777i	0.248833	+	0.968546i	$0.419953\pi$
$684$	−2.30873	−	2.41507i	−0.0882766	−	0.0923427i
$685$			39.6772i			1.51599i
$686$	26.1758	−	0.909903i	0.999396	−	0.0347403i
$687$	−18.0141	−	1.73017i	−0.687279	−	0.0660102i
$688$	5.83961	+	5.01126i	0.222633	+	0.191052i
$689$	−3.05095	+	5.28440i	−0.116232	+	0.201320i
$690$	−0.396338	−	0.0567235i	−0.0150883	−	0.00215943i
$691$	−0.706547	+	0.407925i	−0.0268783	+	0.0155182i	−0.513379	−	0.858162i	$-0.671606\pi$
$691$	−0.706547	+	0.407925i	−0.0268783	+	0.0155182i	0.486501	+	0.873680i	$0.338273\pi$
$692$	34.3777	−	15.7994i	1.30684	−	0.600605i
$693$	30.3326	−	11.3877i	1.15224	−	0.432581i
$694$	−29.3853	−	18.8351i	−1.11545	−	0.714970i
$695$	8.96872	+	15.5343i	0.340203	+	0.589249i
$696$	−2.62371	+	2.76848i	−0.0994514	+	0.104939i
$697$	4.02352	−	6.96893i	0.152402	−	0.263967i
$698$	14.1300	+	9.05689i	0.534828	+	0.342808i
$699$	−18.3546	−	13.0856i	−0.694236	−	0.494941i
$700$	4.58976	+	9.31424i	0.173476	+	0.352045i
$701$		−	4.37794i		−	0.165353i	−0.996576	−	0.0826763i	$-0.973653\pi$
$701$		−	4.37794i		−	0.165353i	0.996576	−	0.0826763i	$-0.0263468\pi$
$702$	0.611491	+	3.18056i	0.0230792	+	0.120043i
$703$	−2.02360	−	3.50498i	−0.0763216	−	0.132193i
$704$	−8.97473	+	31.3984i	−0.338248	+	1.18337i
$705$	12.1880	+	26.7270i	0.459025	+	1.00660i
$706$	14.5185	+	0.674168i	0.546411	+	0.0253726i
$707$	31.4713	−	19.3233i	1.18360	−	0.726729i
$708$	−12.0192	+	13.9227i	−0.451710	+	0.523248i
$709$	30.8437	−	17.8076i	1.15836	−	0.668778i	0.207448	−	0.978246i	$-0.433484\pi$
$709$	30.8437	−	17.8076i	1.15836	−	0.668778i	0.950910	+	0.309468i	$0.100151\pi$
$710$	0.661704	−	14.2501i	0.0248333	−	0.534796i
$711$	−9.17045	−	26.5913i	−0.343919	−	0.997250i
$712$	−23.9404	+	30.6689i	−0.897203	+	1.14937i
$713$	−0.0781273	+	0.135320i	−0.00292589	+	0.00506779i
$714$	−7.68075	−	5.70318i	−0.287445	−	0.213436i
$715$	−2.71557	+	1.56783i	−0.101556	+	0.0586336i
$716$	18.2670	−	8.39520i	0.682668	−	0.313743i
$717$	3.39591	−	1.54860i	0.126823	−	0.0578334i
$718$	−21.6614	+	33.7947i	−0.808395	+	1.26121i
$719$	−11.4281	+	19.7940i	−0.426196	+	0.738193i	−0.996531	−	0.0832190i	$-0.973480\pi$
$719$	−11.4281	+	19.7940i	−0.426196	+	0.738193i	0.570335	+	0.821412i	$0.306813\pi$
$720$	7.70154	−	19.4451i	0.287019	−	0.724675i
$721$	−2.91975	−	4.75531i	−0.108737	−	0.177097i
$722$	12.1398	+	23.4788i	0.451796	+	0.873789i
$723$	−1.21434	+	12.6434i	−0.0451620	+	0.470213i
$724$	−3.18976	+	34.2724i	−0.118547	+	1.27373i
$725$	−1.32313	−	0.763912i	−0.0491400	−	0.0283710i
$726$	−1.96510	+	13.7306i	−0.0729319	+	0.509589i
$727$	11.7336	−	20.3233i	0.435177	−	0.753748i	−0.562133	−	0.827047i	$-0.690019\pi$
$727$	11.7336	−	20.3233i	0.435177	−	0.753748i	0.997310	+	0.0732982i	$0.0233525\pi$
$728$	−2.65384	−	1.95845i	−0.0983580	−	0.0725848i
$729$	−22.6654	−	14.6725i	−0.839458	−	0.543425i
$730$	−32.7734	+	16.9456i	−1.21300	+	0.627185i
$731$		−	2.83978i		−	0.105033i
$732$	−11.7269	−	33.6815i	−0.433438	−	1.24491i
$733$		−	20.3517i		−	0.751706i	−0.926679	−	0.375853i	$-0.877350\pi$
$733$		−	20.3517i		−	0.751706i	0.926679	−	0.375853i	$-0.122650\pi$
$734$	−35.5851	−	1.65240i	−1.31347	−	0.0609910i
$735$	11.3186	−	17.8445i	0.417492	−	0.658205i
$736$	0.516301	+	0.121983i	0.0190311	+	0.00449635i
$737$	−25.6294	+	44.3914i	−0.944070	+	1.63518i
$738$	6.51799	+	22.1905i	0.239931	+	0.816845i
$739$	14.3219	−	8.26874i	0.526839	−	0.304170i	−0.212890	−	0.977076i	$-0.568287\pi$
$739$	14.3219	−	8.26874i	0.526839	−	0.304170i	0.739728	+	0.672906i	$0.234954\pi$
$740$	14.6462	−	20.6724i	0.538405	−	0.759931i
$741$	−0.0406414	+	0.423147i	−0.00149300	+	0.0155447i
$742$	44.3516	+	26.7639i	1.62820	+	0.982534i
$743$	−1.14004	−	1.97461i	−0.0418240	−	0.0724413i	0.844356	−	0.535783i	$-0.179984\pi$
$743$	−1.14004	−	1.97461i	−0.0418240	−	0.0724413i	−0.886180	+	0.463342i	$0.846650\pi$
$744$	−5.92448	−	5.61467i	−0.217202	−	0.205844i
$745$	15.2699			0.559447
$746$	−1.75609	+	37.8181i	−0.0642949	+	1.38462i
$747$	−4.00538	−	3.47843i	−0.146549	−	0.127269i
$748$	10.9503	−	5.03256i	0.400381	−	0.184009i
$749$	0.239092	+	8.83686i	0.00873624	+	0.322892i
$750$	29.4237	+	4.21109i	1.07440	+	0.153767i
$751$	−30.5418			−1.11448			−0.557242	−	0.830350i	$-0.688141\pi$
$751$	−30.5418			−1.11448			−0.557242	+	0.830350i	$0.688141\pi$
$752$	−12.9065	−	36.7206i	−0.470653	−	1.33906i
$753$	−23.7597	−	2.28202i	−0.865852	−	0.0831613i
$754$	0.484771	+	0.0225104i	0.0176543	+	0.000819780i
$755$			36.4506i			1.32657i
$756$	27.0964	−	4.66771i	0.985485	−	0.169763i
$757$			19.8856i			0.722755i	0.932420	+	0.361378i	$0.117693\pi$
$757$			19.8856i			0.722755i	−0.932420	+	0.361378i	$0.882307\pi$
$758$	0.781900	−	16.8386i	0.0283999	−	0.611604i
$759$	0.660026	+	0.0633926i	0.0239574	+	0.00230101i
$760$	1.68911	−	2.16384i	0.0612706	−	0.0784909i
$761$	−9.81953			−0.355958			−0.177979	−	0.984034i	$-0.556956\pi$
$761$	−9.81953			−0.355958			−0.177979	+	0.984034i	$0.556956\pi$
$762$	0.700912	−	4.89741i	0.0253914	−	0.177414i
$763$	18.3981	+	9.96863i	0.666055	+	0.360889i
$764$	0.401140	+	0.872834i	0.0145127	+	0.0315780i
$765$	−7.29664	+	2.51637i	−0.263811	+	0.0909797i
$766$	34.6935	+	1.61100i	1.25353	+	0.0582076i
$767$	2.34019			0.0844994
$768$	−12.4757	+	24.7458i	−0.450179	+	0.892938i
$769$	−23.7698	−	41.1704i	−0.857159	−	1.48464i	−0.874627	−	0.484796i	$-0.838894\pi$
$769$	−23.7698	−	41.1704i	−0.857159	−	1.48464i	0.0174679	−	0.999847i	$-0.494440\pi$
$770$	12.8613	+	23.3067i	0.463490	+	0.839915i
$771$	−1.57674	+	16.4166i	−0.0567850	+	0.591230i
$772$	−22.7650	+	32.1316i	−0.819330	+	1.15644i
$773$	37.1007	−	21.4201i	1.33442	−	0.770428i	0.348447	−	0.937328i	$-0.386709\pi$
$773$	37.1007	−	21.4201i	1.33442	−	0.770428i	0.985974	+	0.166900i	$0.0533758\pi$
$774$	5.90752	+	5.63175i	0.212342	+	0.202429i
$775$	1.63475	−	2.83148i	0.0587221	−	0.101710i
$776$	17.3977	−	22.2873i	0.624540	−	0.800069i
$777$	33.2279	+	2.28643i	1.19204	+	0.0820253i
$778$	0.610796	−	13.1538i	0.0218981	−	0.471586i
$779$			3.03555i			0.108760i
$780$	−2.51306	+	0.874973i	−0.0899821	+	0.0313290i
$781$			23.6250i			0.845368i
$782$	−0.0899207	−	0.173910i	−0.00321556	−	0.00621901i
$783$	−2.93256	+	2.78693i	−0.104801	+	0.0995967i
$784$	−17.0588	+	22.2035i	−0.609244	+	0.792983i
$785$	9.88476	−	17.1209i	0.352802	−	0.611071i
$786$	27.6707	+	3.96021i	0.986982	+	0.141256i
$787$	41.2165	+	23.7963i	1.46921	+	0.848248i	0.999404	−	0.0345224i	$-0.0109910\pi$
$787$	41.2165	+	23.7963i	1.46921	+	0.848248i	0.469805	+	0.882770i	$0.344324\pi$
$788$	1.59032	−	17.0872i	0.0566528	−	0.608706i
$789$	1.30543	−	13.5918i	0.0464746	−	0.483880i
$790$	20.5285	−	10.6143i	0.730372	−	0.377641i
$791$	−24.4198	+	45.0691i	−0.868268	+	1.60247i
$792$	−11.2470	+	32.7599i	−0.399646	+	1.16407i
$793$	−2.26885	+	3.92976i	−0.0805692	+	0.139550i
$794$	22.6782	+	14.5360i	0.804820	+	0.515865i
$795$	38.0262	−	17.3406i	1.34865	−	0.615008i
$796$	7.23959	+	15.7525i	0.256600	+	0.558332i
$797$	12.0408	−	6.95175i	0.426507	−	0.246244i	−0.271351	−	0.962481i	$-0.587470\pi$
$797$	12.0408	−	6.95175i	0.426507	−	0.246244i	0.697857	+	0.716237i	$0.254137\pi$
$798$	3.58490	+	0.414469i	0.126904	+	0.0146720i
$799$	−7.18203	+	12.4396i	−0.254082	+	0.440083i
$800$	−10.8032	−	2.55240i	−0.381951	−	0.0902409i
$801$	−27.0583	+	31.1574i	−0.956060	+	1.10089i
$802$	12.3980	+	0.575700i	0.437787	+	0.0203287i
$803$	52.9158	−	30.5510i	1.86736	−	1.07812i
$804$	−28.4256	+	32.9274i	−1.00249	+	1.16126i
$805$	0.368533	−	0.226278i	0.0129891	−	0.00797526i
$806$	−0.0481717	+	1.03740i	−0.00169677	+	0.0365408i
$807$	9.76522	+	21.4141i	0.343752	+	0.753813i
$808$	−5.47809	+	39.0981i	−0.192718	+	1.37547i
$809$	−19.2525	−	33.3462i	−0.676880	−	1.17239i	−0.975916	−	0.218149i	$-0.929998\pi$
$809$	−19.2525	−	33.3462i	−0.676880	−	1.17239i	0.299035	−	0.954242i	$-0.403335\pi$
$810$	9.23570	−	20.1694i	0.324509	−	0.708680i
$811$		−	42.8825i		−	1.50581i	−0.658131	−	0.752903i	$-0.728653\pi$
$811$		−	42.8825i		−	1.50581i	0.658131	−	0.752903i	$-0.271347\pi$
$812$	0.270700	−	4.11093i	0.00949970	−	0.144266i
$813$	−19.9204	−	14.2019i	−0.698640	−	0.498081i
$814$	−22.6414	+	35.3237i	−0.793581	+	1.23810i
$815$	8.14974	−	14.1158i	0.285473	−	0.494454i
$816$	9.92854	−	2.45326i	0.347569	−	0.0858814i
$817$	0.535621	+	0.927722i	0.0187390	+	0.0324569i
$818$	−28.7494	+	44.8529i	−1.00520	+	1.56825i
$819$	−2.70239	−	2.22155i	−0.0944292	−	0.0776272i
$820$	−17.2660	+	7.93516i	−0.602954	+	0.277108i
$821$	23.3204	−	13.4641i	0.813889	−	0.469899i	−0.0344154	−	0.999408i	$-0.510957\pi$
$821$	23.3204	−	13.4641i	0.813889	−	0.469899i	0.848305	+	0.529508i	$0.177624\pi$
$822$	7.90025	−	55.2006i	0.275553	−	1.92534i
$823$	21.0513	−	36.4619i	0.733801	−	1.27098i	−0.221446	−	0.975173i	$-0.571078\pi$
$823$	21.0513	−	36.4619i	0.733801	−	1.27098i	0.955247	−	0.295809i	$-0.0955891\pi$
$824$	5.90771	+	0.827738i	0.205805	+	0.0288356i
$825$	−13.8105	−	1.32644i	−0.480821	−	0.0461808i
$826$	0.384439	−	19.8630i	0.0133763	−	0.691123i
$827$		−	2.64755i		−	0.0920643i	−0.998940	−	0.0460322i	$-0.985342\pi$
$827$		−	2.64755i		−	0.0920643i	0.998940	−	0.0460322i	$-0.0146577\pi$
$828$	0.540108	+	0.157832i	0.0187700	+	0.00548505i
$829$	25.6861	−	14.8299i	0.892114	−	0.515063i	0.0174809	−	0.999847i	$-0.494435\pi$
$829$	25.6861	−	14.8299i	0.892114	−	0.515063i	0.874634	+	0.484785i	$0.161102\pi$
$830$	2.35204	−	3.66950i	0.0816403	−	0.127370i
$831$	−0.186665	−	0.0179283i	−0.00647532	−	0.000621927i
$832$	3.42051	−	0.855891i	0.118585	−	0.0296727i
$833$	10.3180	−	0.558743i	0.357498	−	0.0193593i
$834$	−9.38458	−	23.3977i	−0.324961	−	0.810197i
$835$	−9.30427	+	5.37182i	−0.321988	+	0.185900i
$836$	−2.62810	+	3.70944i	−0.0908949	+	0.128294i
$837$	−5.96396	−	6.27561i	−0.206145	−	0.216917i
$838$	−26.0642	+	13.4766i	−0.900371	+	0.465540i
$839$	1.17834	−	2.04095i	0.0406809	−	0.0704613i	−0.844968	−	0.534817i	$-0.820381\pi$
$839$	1.17834	−	2.04095i	0.0406809	−	0.0704613i	0.885649	+	0.464355i	$0.153714\pi$
$840$	7.01374	+	21.4741i	0.241997	+	0.740926i
$841$	−14.1969	−	24.5898i	−0.489549	−	0.847923i
$842$	10.2964	+	6.59969i	0.354838	+	0.227440i
$843$	19.1602	+	13.6598i	0.659911	+	0.470470i
$844$	−36.9669	+	16.9894i	−1.27245	+	0.584800i
$845$	−19.3288	−	11.1595i	−0.664932	−	0.383899i
$846$	−11.6347	−	39.6104i	−0.400010	−	1.36184i
$847$	−7.83909	−	12.7673i	−0.269354	−	0.438689i
$848$	−52.2448	+	18.3629i	−1.79409	+	0.630586i
$849$	26.3789	−	37.0007i	0.905321	−	1.26986i
$850$	1.88152	+	3.63893i	0.0645357	+	0.124814i
$851$	0.590300	+	0.340810i	0.0202352	+	0.0116828i
$852$	−3.75797	+	19.6936i	−0.128746	+	0.674690i
$853$	−26.2110	−	15.1329i	−0.897447	−	0.518141i	−0.0210760	−	0.999778i	$-0.506709\pi$
$853$	−26.2110	−	15.1329i	−0.897447	−	0.518141i	−0.876371	+	0.481637i	$0.840043\pi$
$854$	32.9822	+	19.9031i	1.12863	+	0.681069i
$855$	1.90910	−	2.19831i	0.0652899	−	0.0751806i
$856$	−7.44951	−	5.81514i	−0.254619	−	0.198758i
$857$	−32.1036			−1.09664			−0.548319	−	0.836269i	$-0.684732\pi$
$857$	−32.1036			−1.09664			−0.548319	+	0.836269i	$0.684732\pi$
$858$	4.09019	−	1.64053i	0.139637	−	0.0560068i
$859$		−	17.3263i		−	0.591166i	−0.955317	−	0.295583i	$-0.904486\pi$
$859$		−	17.3263i		−	0.591166i	0.955317	−	0.295583i	$-0.0955139\pi$
$860$	−3.87665	+	5.47170i	−0.132193	+	0.186583i
$861$	−20.7258	−	13.9462i	−0.706332	−	0.475286i
$862$	−1.66300	−	3.21630i	−0.0566419	−	0.109548i
$863$	4.08686	−	7.07865i	0.139118	−	0.240960i	−0.788045	−	0.615618i	$-0.788906\pi$
$863$	4.08686	−	7.07865i	0.139118	−	0.240960i	0.927163	+	0.374658i	$0.122240\pi$
$864$	−14.5865	+	25.5193i	−0.496242	+	0.868184i
$865$	16.4853	+	28.5535i	0.560519	+	0.970847i
$866$	−33.5472	−	1.55777i	−1.13998	−	0.0529350i
$867$	20.9025	+	14.9020i	0.709885	+	0.506098i
$868$	8.79730	+	0.579291i	0.298600	+	0.0196624i
$869$	−33.1453	+	19.1364i	−1.12438	+	0.649159i
$870$	−2.61408	−	2.05301i	−0.0886257	−	0.0696034i
$871$	5.53459			0.187532
$872$	−20.7375	+	8.38866i	−0.702261	+	0.284076i
$873$	19.6635	−	22.6423i	0.665509	−	0.766327i
$874$	0.0621777	+	0.0398540i	0.00210319	+	0.00134808i
$875$	−27.3595	+	16.7987i	−0.924920	+	0.567899i
$876$	48.9698	−	17.0498i	1.65454	−	0.576059i
$877$		−	52.5170i		−	1.77337i	−0.462372	−	0.886686i	$-0.653001\pi$
$877$		−	52.5170i		−	1.77337i	0.462372	−	0.886686i	$-0.346999\pi$
$878$	0.382276	+	0.739335i	0.0129012	+	0.0249514i
$879$	23.1749	+	50.8203i	0.781671	+	1.71413i
$880$	−27.9690	−	5.25169i	−0.942836	−	0.177034i
$881$	36.7514			1.23819			0.619093	−	0.785317i	$-0.287500\pi$
$881$	36.7514			1.23819			0.619093	+	0.785317i	$0.287500\pi$
$882$	−19.3000	+	22.5724i	−0.649864	+	0.760051i
$883$		−	8.65299i		−	0.291196i	−0.989344	−	0.145598i	$-0.953489\pi$
$883$		−	8.65299i		−	0.291196i	0.989344	−	0.145598i	$-0.0465106\pi$
$884$	−1.06175	−	0.752242i	−0.0357106	−	0.0253006i
$885$	−13.0513	−	9.30467i	−0.438715	−	0.312773i
$886$	13.5882	−	7.02581i	0.456504	−	0.236037i
$887$	33.5262			1.12570			0.562849	−	0.826560i	$-0.309705\pi$
$887$	33.5262			1.12570			0.562849	+	0.826560i	$0.309705\pi$
$888$	−24.4925	+	25.8440i	−0.821916	+	0.867268i
$889$	2.79604	+	4.55383i	0.0937762	+	0.152731i
$890$	−28.5446	−	18.2962i	−0.956818	−	0.613291i
$891$	−13.7294	+	34.0760i	−0.459952	+	1.14159i
$892$	−22.6937	+	32.0310i	−0.759841	+	1.07248i
$893$		−	5.41850i		−	0.181323i
$894$	−21.2442	−	3.04045i	−0.710512	−	0.101688i
$895$	8.75966	+	15.1722i	0.292803	+	0.507150i
$896$	−6.70270	−	29.1732i	−0.223922	−	0.974607i
$897$	−0.0297049	−	0.0651399i	−0.000991819	−	0.00217496i
$898$	−9.86314	−	0.457995i	−0.329137	−	0.0152835i
$899$	−1.12342	+	0.648606i	−0.0374681	+	0.0216322i
$900$	−11.3013	−	3.30252i	−0.376711	−	0.110084i
$901$	17.6987	+	10.2183i	0.589629	+	0.340422i
$902$	27.9538	−	14.4536i	0.930760	−	0.481252i
$903$	−8.79499	−	0.605188i	−0.292679	−	0.0201394i
$904$	−20.5494	−	50.7999i	−0.683463	−	1.68958i
$905$	−29.9956			−0.997089
$906$	7.25780	−	50.7116i	0.241124	−	1.68478i
$907$		−	26.9594i		−	0.895173i	−0.894241	−	0.447587i	$-0.852284\pi$
$907$		−	26.9594i		−	0.895173i	0.894241	−	0.447587i	$-0.147716\pi$
$908$	1.25401	−	13.4737i	0.0416157	−	0.447140i
$909$	−7.97027	+	41.1093i	−0.264357	+	1.36351i
$910$	1.48502	−	2.46089i	0.0492278	−	0.0815776i
$911$	−10.8012	+	18.7082i	−0.357860	+	0.619832i	−0.987603	−	0.156972i	$-0.949827\pi$
$911$	−10.8012	+	18.7082i	−0.357860	+	0.619832i	0.629743	+	0.776804i	$0.283160\pi$
$912$	−2.78081	+	2.67411i	−0.0920820	+	0.0885485i
$913$	−3.60913	+	6.25119i	−0.119445	+	0.206884i
$914$	0.651031	+	1.25912i	0.0215342	+	0.0416479i
$915$	28.2783	−	12.8954i	0.934851	−	0.426309i
$916$	−1.93649	+	20.8066i	−0.0639834	+	0.687471i
$917$	−25.7295	+	15.7978i	−0.849662	+	0.521690i
$918$	10.6524	−	2.04802i	0.351583	−	0.0675949i
$919$	−10.0386	+	17.3874i	−0.331144	+	0.573559i	−0.982736	−	0.185011i	$-0.940768\pi$
$919$	−10.0386	+	17.3874i	−0.331144	+	0.573559i	0.651592	+	0.758569i	$0.274101\pi$
$920$	−0.0641490	+	0.457843i	−0.00211493	+	0.0150946i
$921$	40.0016	+	3.84198i	1.31810	+	0.126597i
$922$	23.7576	+	15.2279i	0.782415	+	0.501504i
$923$	2.20912	−	1.27544i	0.0727141	−	0.0419815i
$924$	−13.2525	−	34.9861i	−0.435977	−	1.15096i
$925$	−12.3516	−	7.13119i	−0.406117	−	0.234472i
$926$	−20.7279	−	40.0884i	−0.681160	−	1.31739i
$927$	6.21161	+	1.20431i	0.204016	+	0.0395546i
$928$	3.20569	+	3.02016i	0.105232	+	0.0991416i
$929$	−12.8185	−	22.2022i	−0.420560	−	0.728431i	0.575434	−	0.817848i	$-0.304833\pi$
$929$	−12.8185	−	22.2022i	−0.420560	−	0.728431i	−0.995994	+	0.0894169i	$0.971500\pi$
$930$	4.39338	−	5.59407i	0.144065	−	0.183437i
$931$	−3.26538	+	2.12865i	−0.107019	+	0.0697636i
$932$	−15.0473	+	21.2386i	−0.492892	+	0.695692i
$933$	−39.4547	−	28.1284i	−1.29169	−	0.920883i
$934$	−16.4179	−	10.5234i	−0.537211	−	0.344336i
$935$	5.25104	+	9.09507i	0.171727	+	0.297441i
$936$	3.67050	−	0.716914i	0.119974	−	0.0234331i
$937$	31.6558			1.03415			0.517075	−	0.855940i	$-0.327021\pi$
$937$	31.6558			1.03415			0.517075	+	0.855940i	$0.327021\pi$
$938$	0.909203	−	46.9764i	0.0296865	−	1.53383i
$939$	12.7550	−	5.81650i	0.416244	−	0.189814i
$940$	30.8200	−	14.1644i	1.00524	−	0.461991i
$941$	−22.1110	−	12.7658i	−0.720796	−	0.416152i	0.0942493	−	0.995549i	$-0.469955\pi$
$941$	−22.1110	−	12.7658i	−0.720796	−	0.416152i	−0.815046	+	0.579397i	$0.803288\pi$
$942$	−17.1611	+	21.8511i	−0.559138	+	0.711948i
$943$	−0.255620	−	0.442747i	−0.00832413	−	0.0144178i
$944$	16.1174	+	13.8311i	0.524578	+	0.450165i
$945$	6.23837	+	23.1344i	0.202934	+	0.752563i
$946$	5.99288	−	9.34972i	0.194845	−	0.303986i
$947$	37.7800	−	21.8123i	1.22768	−	0.708804i	0.261140	−	0.965301i	$-0.415902\pi$
$947$	37.7800	−	21.8123i	1.22768	−	0.708804i	0.966545	+	0.256497i	$0.0825683\pi$
$948$	−30.6736	+	10.6796i	−0.996232	+	0.346858i
$949$	−5.71351	−	3.29869i	−0.185468	−	0.107080i
$950$	−1.30102	−	0.833914i	−0.0422107	−	0.0270558i
$951$	−5.57700	−	12.2298i	−0.180847	−	0.396578i
$952$	−6.55929	+	8.88834i	−0.212588	+	0.288073i
$953$	26.1778			0.847983			0.423991	−	0.905666i	$-0.360629\pi$
$953$	26.1778			0.847983			0.423991	+	0.905666i	$0.360629\pi$
$954$	−56.3563	+	16.5535i	−1.82460	+	0.535938i
$955$	−0.724959	+	0.418555i	−0.0234591	+	0.0135441i
$956$	−1.79972	−	3.91597i	−0.0582071	−	0.126652i
$957$	4.48223	+	3.19551i	0.144890	+	0.103296i
$958$	33.1027	+	1.53713i	1.06950	+	0.0496623i
$959$	31.5152	+	51.3279i	1.01768	+	1.65747i
$960$	−22.4793	−	8.82673i	−0.725518	−	0.284881i
$961$	14.1120	+	24.4427i	0.455226	+	0.788474i
$962$	4.52538	+	0.210136i	0.145904	+	0.00677506i
$963$	−7.56817	−	6.57250i	−0.243881	−	0.211796i
$964$	14.6034	+	1.35915i	0.470345	+	0.0437753i
$965$	−29.7189	−	17.1582i	−0.956686	−	0.552343i
$966$	−0.557773	+	0.241428i	−0.0179461	+	0.00776782i
$967$	6.02570	+	10.4368i	0.193773	+	0.335625i	0.946498	−	0.322710i	$-0.104594\pi$
$967$	6.02570	+	10.4368i	0.193773	+	0.335625i	−0.752724	+	0.658336i	$0.771261\pi$
$968$	15.8613	+	2.22235i	0.509802	+	0.0714290i
$969$	1.41722	+	0.136118i	0.0455276	+	0.00437273i
$970$	20.7436	+	13.2960i	0.666037	+	0.426909i
$971$	−0.894874	−	0.516656i	−0.0287179	−	0.0165803i	0.485572	−	0.874196i	$-0.338611\pi$
$971$	−0.894874	−	0.516656i	−0.0287179	−	0.0165803i	−0.514290	+	0.857616i	$0.671945\pi$
$972$	−16.8651	+	26.2215i	−0.540948	+	0.841056i
$973$	23.9410	+	12.9720i	0.767514	+	0.415862i
$974$	−1.17401	−	2.27058i	−0.0376177	−	0.0727540i
$975$	0.621553	+	1.36300i	0.0199056	+	0.0436510i
$976$	−38.8520	+	13.6557i	−1.24362	+	0.437107i
$977$	−27.2122	+	47.1329i	−0.870595	+	1.50791i	−0.00921232	+	0.999958i	$0.502932\pi$
$977$	−27.2122	+	47.1329i	−0.870595	+	1.50791i	−0.861382	+	0.507957i	$0.830401\pi$
$978$	−14.1489	+	18.0157i	−0.452432	+	0.576079i
$979$	48.6273	+	28.0750i	1.55413	+	0.897280i
$980$	−20.6435	−	13.0088i	−0.659433	−	0.415550i
$981$	−22.4305	+	7.73555i	−0.716151	+	0.246977i
$982$	−0.157234	+	0.0812985i	−0.00501754	+	0.00259434i
$983$	27.9773			0.892338			0.446169	−	0.894949i	$-0.352788\pi$
$983$	27.9773			0.892338			0.446169	+	0.894949i	$0.352788\pi$
$984$	25.6011	−	7.60185i	0.816134	−	0.242338i
$985$	14.9549			0.476503
$986$	0.0753925	−	1.62361i	0.00240099	−	0.0517063i
$987$	36.9958	+	24.8942i	1.17759	+	0.792392i
$988$	0.488744	+	0.0454878i	0.0155490	+	0.00144716i
$989$	−0.156245	−	0.0902078i	−0.00496829	−	0.00286844i
$990$	−29.3339	−	7.11341i	−0.932292	−	0.226079i
$991$	−4.99381	−	8.64953i	−0.158634	−	0.274761i	0.775743	−	0.631049i	$-0.217376\pi$
$991$	−4.99381	−	8.64953i	−0.158634	−	0.274761i	−0.934376	+	0.356288i	$0.884042\pi$
$992$	−6.46307	+	6.86009i	−0.205203	+	0.217808i
$993$	19.5797	+	42.9362i	0.621342	+	1.36254i
$994$	−10.4627	−	18.9601i	−0.331857	−	0.601376i
$995$	−13.0837	+	7.55388i	−0.414781	+	0.239474i
$996$	−4.00289	+	4.63684i	−0.126837	+	0.146924i
$997$		−	14.7462i		−	0.467016i	−0.972355	−	0.233508i	$-0.924980\pi$
$997$		−	14.7462i		−	0.467016i	0.972355	−	0.233508i	$-0.0750205\pi$
$998$	2.67883	−	57.6897i	0.0847968	−	1.82614i
$999$	−27.3757	+	26.0162i	−0.866128	+	0.823117i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	504.2.w.a.205.2	✓	184
7.4	even	3		504.2.cq.a.277.63	yes	184
8.5	even	2	inner	504.2.w.a.205.61	yes	184
9.4	even	3		504.2.cq.a.373.63	yes	184
56.53	even	6		504.2.cq.a.277.64	yes	184
63.4	even	3	inner	504.2.w.a.445.61	yes	184
72.13	even	6		504.2.cq.a.373.64	yes	184
504.445	even	6	inner	504.2.w.a.445.2	yes	184

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
504.2.w.a.205.2	✓	184	1.1	even	1	trivial
504.2.w.a.205.61	yes	184	8.5	even	2	inner
504.2.w.a.445.2	yes	184	504.445	even	6	inner
504.2.w.a.445.61	yes	184	63.4	even	3	inner
504.2.cq.a.277.63	yes	184	7.4	even	3
504.2.cq.a.277.64	yes	184	56.53	even	6
504.2.cq.a.373.63	yes	184	9.4	even	3
504.2.cq.a.373.64	yes	184	72.13	even	6

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(-1.41269 - 0.0655984i) q^{2} +(-0.165594 + 1.72412i) q^{3} +(1.99139 + 0.185341i) q^{4} +1.74289i q^{5} +(0.347032 - 2.42478i) q^{6} +(1.38436 + 2.25467i) q^{7} +(-2.80107 - 0.392461i) q^{8} +(-2.94516 - 0.571007i) q^{9} +O(q^{10})\)	\(q+(-1.41269 - 0.0655984i) q^{2} +(-0.165594 + 1.72412i) q^{3} +(1.99139 + 0.185341i) q^{4} +1.74289i q^{5} +(0.347032 - 2.42478i) q^{6} +(1.38436 + 2.25467i) q^{7} +(-2.80107 - 0.392461i) q^{8} +(-2.94516 - 0.571007i) q^{9} +(0.114331 - 2.46217i) q^{10} +4.08198i q^{11} +(-0.649312 + 3.40270i) q^{12} +(0.381697 - 0.220373i) q^{13} +(-1.80777 - 3.27597i) q^{14} +(-3.00495 - 0.288612i) q^{15} +(3.93130 + 0.738172i) q^{16} +(-0.738081 - 1.27839i) q^{17} +(4.12314 + 0.999854i) q^{18} +(0.482244 + 0.278423i) q^{19} +(-0.323028 + 3.47078i) q^{20} +(-4.11656 + 2.01344i) q^{21} +(0.267772 - 5.76658i) q^{22} -0.0937827 q^{23} +(1.14049 - 4.76438i) q^{24} +1.96233 q^{25} +(-0.553677 + 0.286280i) q^{26} +(1.47218 - 4.98324i) q^{27} +(2.33893 + 4.74652i) q^{28} +(-0.674267 - 0.389288i) q^{29} +(4.22613 + 0.604840i) q^{30} +(0.833067 - 1.44291i) q^{31} +(-5.50529 - 1.30070i) q^{32} +(-7.03782 - 0.675952i) q^{33} +(0.958820 + 1.85439i) q^{34} +(-3.92964 + 2.41279i) q^{35} +(-5.75914 - 1.68296i) q^{36} +(-6.29434 - 3.63404i) q^{37} +(-0.662997 - 0.424961i) q^{38} +(0.316742 + 0.694583i) q^{39} +(0.684017 - 4.88195i) q^{40} +(2.72566 + 4.72098i) q^{41} +(5.94750 - 2.57433i) q^{42} +(1.66603 + 0.961881i) q^{43} +(-0.756557 + 8.12884i) q^{44} +(0.995202 - 5.13309i) q^{45} +(0.132486 + 0.00615200i) q^{46} +(-4.86534 - 8.42702i) q^{47} +(-1.92369 + 6.65578i) q^{48} +(-3.16708 + 6.24256i) q^{49} +(-2.77217 - 0.128726i) q^{50} +(2.32632 - 1.06084i) q^{51} +(0.800954 - 0.368105i) q^{52} +(-11.9897 + 6.92224i) q^{53} +(-2.40663 + 6.94321i) q^{54} -7.11445 q^{55} +(-2.99282 - 6.85879i) q^{56} +(-0.559891 + 0.785339i) q^{57} +(0.926994 + 0.594175i) q^{58} +(4.59826 + 2.65481i) q^{59} +(-5.93054 - 1.13168i) q^{60} +(-8.91616 + 5.14775i) q^{61} +(-1.27152 + 1.98374i) q^{62} +(-2.78973 - 7.43084i) q^{63} +(7.69195 + 2.19862i) q^{64} +(0.384086 + 0.665257i) q^{65} +(9.89792 + 1.41658i) q^{66} +(10.8750 + 6.27866i) q^{67} +(-1.23287 - 2.68258i) q^{68} +(0.0155299 - 0.161692i) q^{69} +(5.70965 - 3.15075i) q^{70} +5.78762 q^{71} +(8.02548 + 2.75529i) q^{72} +(-7.48434 - 12.9633i) q^{73} +(8.65357 + 5.54667i) q^{74} +(-0.324950 + 3.38329i) q^{75} +(0.908734 + 0.643830i) q^{76} +(-9.20353 + 5.65095i) q^{77} +(-0.401895 - 1.00201i) q^{78} +(4.68802 + 8.11989i) q^{79} +(-1.28655 + 6.85182i) q^{80} +(8.34790 + 3.36341i) q^{81} +(-3.54083 - 6.84809i) q^{82} +(1.53141 + 0.884160i) q^{83} +(-8.57086 + 3.24659i) q^{84} +(2.22810 - 1.28639i) q^{85} +(-2.29048 - 1.46813i) q^{86} +(0.782832 - 1.09805i) q^{87} +(1.60202 - 11.4339i) q^{88} +(6.87778 - 11.9127i) q^{89} +(-1.74264 + 7.18618i) q^{90} +(1.02528 + 0.555525i) q^{91} +(-0.186758 - 0.0173817i) q^{92} +(2.34980 + 1.67524i) q^{93} +(6.32043 + 12.2239i) q^{94} +(-0.485262 + 0.840498i) q^{95} +(3.15419 - 9.27637i) q^{96} +(-4.99814 + 8.65703i) q^{97} +(4.88361 - 8.61106i) q^{98} +(2.33084 - 12.0221i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 184 q + q^{2} + q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9}+O(q^{10}) \) 184 * q + q^2 + q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9	\( 184 q + q^{2} + q^{4} - 2 q^{6} - 2 q^{7} - 8 q^{8} - 2 q^{9} + 2 q^{10} - 17 q^{12} - 7 q^{14} - 2 q^{15} + q^{16} - 4 q^{17} + 13 q^{18} + 6 q^{20} + 2 q^{22} - 4 q^{23} + 12 q^{24} - 156 q^{25} - 4 q^{26} - 8 q^{28} - 18 q^{30} + 2 q^{31} + q^{32} + 22 q^{33} - 18 q^{36} + 10 q^{38} - 14 q^{39} + 8 q^{40} - 4 q^{41} + 3 q^{42} + 17 q^{44} - 6 q^{46} + 42 q^{47} - 3 q^{48} - 2 q^{49} - 31 q^{50} - 18 q^{52} - 58 q^{54} + 4 q^{55} - 34 q^{56} - 20 q^{57} - 10 q^{58} + 26 q^{60} + 32 q^{62} + 50 q^{63} - 8 q^{64} + 22 q^{65} + 79 q^{66} + 24 q^{68} + 8 q^{70} - 16 q^{71} - 27 q^{72} - 4 q^{73} - 38 q^{74} - 6 q^{76} - 47 q^{78} + 2 q^{79} - 11 q^{80} + 6 q^{81} + q^{84} + 46 q^{86} + 4 q^{87} + 14 q^{88} + 4 q^{89} - 35 q^{90} - 48 q^{92} + 9 q^{94} + 22 q^{95} - 16 q^{96} - 4 q^{97} - 83 q^{98}+O(q^{100}) \) 184 * q + q^2 + q^4 - 2 * q^6 - 2 * q^7 - 8 * q^8 - 2 * q^9 + 2 * q^10 - 17 * q^12 - 7 * q^14 - 2 * q^15 + q^16 - 4 * q^17 + 13 * q^18 + 6 * q^20 + 2 * q^22 - 4 * q^23 + 12 * q^24 - 156 * q^25 - 4 * q^26 - 8 * q^28 - 18 * q^30 + 2 * q^31 + q^32 + 22 * q^33 - 18 * q^36 + 10 * q^38 - 14 * q^39 + 8 * q^40 - 4 * q^41 + 3 * q^42 + 17 * q^44 - 6 * q^46 + 42 * q^47 - 3 * q^48 - 2 * q^49 - 31 * q^50 - 18 * q^52 - 58 * q^54 + 4 * q^55 - 34 * q^56 - 20 * q^57 - 10 * q^58 + 26 * q^60 + 32 * q^62 + 50 * q^63 - 8 * q^64 + 22 * q^65 + 79 * q^66 + 24 * q^68 + 8 * q^70 - 16 * q^71 - 27 * q^72 - 4 * q^73 - 38 * q^74 - 6 * q^76 - 47 * q^78 + 2 * q^79 - 11 * q^80 + 6 * q^81 + q^84 + 46 * q^86 + 4 * q^87 + 14 * q^88 + 4 * q^89 - 35 * q^90 - 48 * q^92 + 9 * q^94 + 22 * q^95 - 16 * q^96 - 4 * q^97 - 83 * q^98

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