LMFDB - Embedded newform 108.3.j.a.31.19

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [108,3,Mod(7,108)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(108, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([9, 16]))

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

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

chi := DirichletCharacter("108.7");

S:= CuspForms(chi, 3);

N := Newforms(S);

Level:	$ N $	$=$	$ 108 = 2^{2} \cdot 3^{3} $
Weight:	$ k $	$=$	$ 3 $
Character orbit:	$[\chi]$	$=$	108.j (of order $18$, degree $6$, 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:	$2.94278685509$
Analytic rank:	$0$
Dimension:	$204$
Relative dimension:	$34$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			31.19
Character	$\chi$	$=$	108.31
Dual form			108.3.j.a.7.19

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.277531 + 1.98065i) q^{2} +(-2.64062 + 1.42377i) q^{3} +(-3.84595 + 1.09938i) q^{4} +(-0.542224 + 3.07510i) q^{5} +(-3.55285 - 4.83500i) q^{6} +(-2.98812 - 3.56110i) q^{7} +(-3.24486 - 7.31238i) q^{8} +(4.94574 - 7.51929i) q^{9} +O(q^{10})$	\(q+(0.277531 + 1.98065i) q^{2} +(-2.64062 + 1.42377i) q^{3} +(-3.84595 + 1.09938i) q^{4} +(-0.542224 + 3.07510i) q^{5} +(-3.55285 - 4.83500i) q^{6} +(-2.98812 - 3.56110i) q^{7} +(-3.24486 - 7.31238i) q^{8} +(4.94574 - 7.51929i) q^{9} +(-6.24119 - 0.220520i) q^{10} +(2.54564 - 0.448865i) q^{11} +(8.59043 - 8.37882i) q^{12} +(-16.7420 + 6.09358i) q^{13} +(6.22401 - 6.90674i) q^{14} +(-2.94645 - 8.89218i) q^{15} +(13.5827 - 8.45635i) q^{16} +(-10.3549 + 17.9352i) q^{17} +(16.2657 + 7.70894i) q^{18} +(-24.5104 + 14.1511i) q^{19} +(-1.29535 - 12.4228i) q^{20} +(12.9607 + 5.14911i) q^{21} +(1.59554 + 4.91745i) q^{22} +(14.6669 - 17.4793i) q^{23} +(18.9796 + 14.6893i) q^{24} +(14.3301 + 5.21572i) q^{25} +(-16.7157 - 31.4689i) q^{26} +(-2.35404 + 26.8972i) q^{27} +(15.4072 + 10.4108i) q^{28} +(5.90052 + 2.14762i) q^{29} +(16.7946 - 8.30373i) q^{30} +(-22.3759 + 26.6666i) q^{31} +(20.5187 + 24.5557i) q^{32} +(-6.08298 + 4.80969i) q^{33} +(-38.3971 - 15.5318i) q^{34} +(12.5710 - 7.25787i) q^{35} +(-10.7545 + 34.3561i) q^{36} +(-22.9733 + 39.7909i) q^{37} +(-34.8307 - 44.6192i) q^{38} +(35.5333 - 39.9276i) q^{39} +(24.2458 - 6.01334i) q^{40} +(-4.27327 + 1.55534i) q^{41} +(-6.60160 + 27.0996i) q^{42} +(-12.6921 + 2.23796i) q^{43} +(-9.29693 + 4.52494i) q^{44} +(20.4409 + 19.2858i) q^{45} +(38.6910 + 24.1990i) q^{46} +(1.37925 + 1.64373i) q^{47} +(-23.8269 + 41.6687i) q^{48} +(4.75617 - 26.9736i) q^{49} +(-6.35348 + 29.8304i) q^{50} +(1.80765 - 62.1030i) q^{51} +(57.6897 - 41.8415i) q^{52} -31.8446 q^{53} +(-53.9272 + 2.80227i) q^{54} +8.07149i q^{55} +(-16.3441 + 33.4056i) q^{56} +(44.5747 - 72.2649i) q^{57} +(-2.61610 + 12.2829i) q^{58} +(111.470 + 19.6551i) q^{59} +(21.1078 + 30.9596i) q^{60} +(63.3215 - 53.1331i) q^{61} +(-59.0272 - 36.9181i) q^{62} +(-41.5554 + 4.85626i) q^{63} +(-42.9417 + 47.4553i) q^{64} +(-9.66050 - 54.7874i) q^{65} +(-11.2145 - 10.7134i) q^{66} +(10.8572 + 29.8298i) q^{67} +(20.1068 - 80.3619i) q^{68} +(-13.8431 + 67.0387i) q^{69} +(17.8641 + 22.8845i) q^{70} +(-0.0648998 - 0.0374699i) q^{71} +(-71.0321 - 11.7660i) q^{72} +(-60.1132 - 104.119i) q^{73} +(-85.1877 - 34.4589i) q^{74} +(-45.2662 + 6.63005i) q^{75} +(78.7084 - 81.3707i) q^{76} +(-9.20513 - 7.72402i) q^{77} +(88.9442 + 59.2979i) q^{78} +(-0.117809 + 0.323678i) q^{79} +(18.6393 + 46.3535i) q^{80} +(-32.0794 - 74.3768i) q^{81} +(-4.26656 - 8.03220i) q^{82} +(-32.5283 + 89.3708i) q^{83} +(-55.5071 - 5.55448i) q^{84} +(-49.5379 - 41.5672i) q^{85} +(-7.95507 - 24.5175i) q^{86} +(-18.6388 + 2.72998i) q^{87} +(-11.5425 - 17.1582i) q^{88} +(59.4029 + 102.889i) q^{89} +(-32.5254 + 45.8387i) q^{90} +(71.7269 + 41.4116i) q^{91} +(-37.1918 + 83.3493i) q^{92} +(21.1191 - 102.275i) q^{93} +(-2.87287 + 3.18801i) q^{94} +(-30.2259 - 83.0451i) q^{95} +(-89.1438 - 35.6283i) q^{96} +(11.2136 + 63.5953i) q^{97} +(54.7452 + 1.93431i) q^{98} +(9.21491 - 21.3614i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 204 q - 6 q^{2} - 6 q^{4} - 12 q^{5} - 6 q^{6} - 3 q^{8} - 12 q^{9}+O(q^{10}) $ 204 * q - 6 * q^2 - 6 * q^4 - 12 * q^5 - 6 * q^6 - 3 * q^8 - 12 * q^9	$ 204 q - 6 q^{2} - 6 q^{4} - 12 q^{5} - 6 q^{6} - 3 q^{8} - 12 q^{9} - 3 q^{10} + 39 q^{12} - 12 q^{13} + 39 q^{14} - 6 q^{16} - 6 q^{17} - 27 q^{18} - 69 q^{20} - 12 q^{21} - 6 q^{22} - 138 q^{24} - 12 q^{25} - 174 q^{26} - 12 q^{28} + 60 q^{29} - 153 q^{30} - 96 q^{32} + 48 q^{33} + 6 q^{34} + 24 q^{36} - 6 q^{37} + 72 q^{38} + 69 q^{40} - 192 q^{41} - 126 q^{42} - 219 q^{44} - 132 q^{45} - 3 q^{46} - 219 q^{48} - 12 q^{49} - 165 q^{50} + 21 q^{52} - 24 q^{53} + 78 q^{54} + 99 q^{56} - 150 q^{57} - 141 q^{58} + 210 q^{60} - 12 q^{61} + 294 q^{62} - 3 q^{64} - 156 q^{65} + 393 q^{66} + 375 q^{68} - 60 q^{69} - 165 q^{70} + 228 q^{72} - 6 q^{73} + 447 q^{74} - 54 q^{76} + 132 q^{77} + 750 q^{78} + 798 q^{80} + 228 q^{81} - 12 q^{82} + 762 q^{84} + 138 q^{85} + 606 q^{86} - 198 q^{88} - 114 q^{89} + 894 q^{90} + 723 q^{92} - 1020 q^{93} - 357 q^{94} + 474 q^{96} + 168 q^{97} + 510 q^{98}+O(q^{100}) $ 204 * q - 6 * q^2 - 6 * q^4 - 12 * q^5 - 6 * q^6 - 3 * q^8 - 12 * q^9 - 3 * q^10 + 39 * q^12 - 12 * q^13 + 39 * q^14 - 6 * q^16 - 6 * q^17 - 27 * q^18 - 69 * q^20 - 12 * q^21 - 6 * q^22 - 138 * q^24 - 12 * q^25 - 174 * q^26 - 12 * q^28 + 60 * q^29 - 153 * q^30 - 96 * q^32 + 48 * q^33 + 6 * q^34 + 24 * q^36 - 6 * q^37 + 72 * q^38 + 69 * q^40 - 192 * q^41 - 126 * q^42 - 219 * q^44 - 132 * q^45 - 3 * q^46 - 219 * q^48 - 12 * q^49 - 165 * q^50 + 21 * q^52 - 24 * q^53 + 78 * q^54 + 99 * q^56 - 150 * q^57 - 141 * q^58 + 210 * q^60 - 12 * q^61 + 294 * q^62 - 3 * q^64 - 156 * q^65 + 393 * q^66 + 375 * q^68 - 60 * q^69 - 165 * q^70 + 228 * q^72 - 6 * q^73 + 447 * q^74 - 54 * q^76 + 132 * q^77 + 750 * q^78 + 798 * q^80 + 228 * q^81 - 12 * q^82 + 762 * q^84 + 138 * q^85 + 606 * q^86 - 198 * q^88 - 114 * q^89 + 894 * q^90 + 723 * q^92 - 1020 * q^93 - 357 * q^94 + 474 * q^96 + 168 * q^97 + 510 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/108\mathbb{Z}\right)^\times$.

$n$	$29$	$55$
$\chi(n)$	$e\left(\frac{1}{9}\right)$	$-1$

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 $

$2$	0.277531	+	1.98065i	0.138765	+	0.990325i
$2$	0.277531	+	1.98065i	0.138765	+	0.990325i
$3$	−2.64062	+	1.42377i	−0.880206	+	0.474591i
$3$	−2.64062	+	1.42377i	−0.880206	+	0.474591i
$4$	−3.84595	+	1.09938i	−0.961488	+	0.274846i
$5$	−0.542224	+	3.07510i	−0.108445	+	0.615021i	0.881344	+	0.472476i	$0.156640\pi$
$5$	−0.542224	+	3.07510i	−0.108445	+	0.615021i	−0.989788	+	0.142545i	$0.954471\pi$
$6$	−3.55285	−	4.83500i	−0.592142	−	0.805834i
$7$	−2.98812	−	3.56110i	−0.426874	−	0.508729i	0.509143	−	0.860682i	$-0.329962\pi$
$7$	−2.98812	−	3.56110i	−0.426874	−	0.508729i	−0.936018	+	0.351953i	$0.885518\pi$
$8$	−3.24486	−	7.31238i	−0.405608	−	0.914047i
$9$	4.94574	−	7.51929i	0.549526	−	0.835476i
$10$	−6.24119	−	0.220520i	−0.624119	−	0.0220520i
$11$	2.54564	−	0.448865i	0.231422	−	0.0408059i	−0.0567345	−	0.998389i	$-0.518069\pi$
$11$	2.54564	−	0.448865i	0.231422	−	0.0408059i	0.288156	+	0.957583i	$0.406958\pi$
$12$	8.59043	−	8.37882i	0.715869	−	0.698235i
$13$	−16.7420	+	6.09358i	−1.28784	+	0.468737i	−0.893019	−	0.450019i	$-0.851417\pi$
$13$	−16.7420	+	6.09358i	−1.28784	+	0.468737i	−0.394825	+	0.918756i	$0.629195\pi$
$14$	6.22401	−	6.90674i	0.444572	−	0.493339i
$15$	−2.94645	−	8.89218i	−0.196430	−	0.592812i
$16$	13.5827	−	8.45635i	0.848920	−	0.528522i
$17$	−10.3549	+	17.9352i	−0.609111	+	1.05501i	0.382276	+	0.924048i	$0.375140\pi$
$17$	−10.3549	+	17.9352i	−0.609111	+	1.05501i	−0.991387	+	0.130963i	$0.958193\pi$
$18$	16.2657	+	7.70894i	0.903649	+	0.428275i
$19$	−24.5104	+	14.1511i	−1.29002	+	0.744794i	−0.978658	−	0.205497i	$-0.934119\pi$
$19$	−24.5104	+	14.1511i	−1.29002	+	0.744794i	−0.311363	+	0.950291i	$0.600786\pi$
$20$	−1.29535	−	12.4228i	−0.0647674	−	0.621141i
$21$	12.9607	+	5.14911i	0.617176	+	0.245196i
$22$	1.59554	+	4.91745i	0.0725244	+	0.223520i
$23$	14.6669	−	17.4793i	0.637692	−	0.759972i	−0.346312	−	0.938119i	$-0.612566\pi$
$23$	14.6669	−	17.4793i	0.637692	−	0.759972i	0.984004	+	0.178148i	$0.0570105\pi$
$24$	18.9796	+	14.6893i	0.790817	+	0.612052i
$25$	14.3301	+	5.21572i	0.573202	+	0.208629i
$26$	−16.7157	−	31.4689i	−0.642910	−	1.21034i
$27$	−2.35404	+	26.8972i	−0.0871866	+	0.996192i
$28$	15.4072	+	10.4108i	0.550257	+	0.371813i
$29$	5.90052	+	2.14762i	0.203466	+	0.0740557i	0.441743	−	0.897142i	$-0.354360\pi$
$29$	5.90052	+	2.14762i	0.203466	+	0.0740557i	−0.238277	+	0.971197i	$0.576583\pi$
$30$	16.7946	−	8.30373i	0.559819	−	0.276791i
$31$	−22.3759	+	26.6666i	−0.721804	+	0.860213i	−0.994805	−	0.101801i	$-0.967539\pi$
$31$	−22.3759	+	26.6666i	−0.721804	+	0.860213i	0.273001	+	0.962014i	$0.411984\pi$
$32$	20.5187	+	24.5557i	0.641209	+	0.767366i
$33$	−6.08298	+	4.80969i	−0.184333	+	0.145748i
$34$	−38.3971	−	15.5318i	−1.12933	−	0.456819i
$35$	12.5710	−	7.25787i	0.359171	−	0.207368i
$36$	−10.7545	+	34.3561i	−0.298736	+	0.954336i
$37$	−22.9733	+	39.7909i	−0.620900	+	1.07543i	0.368419	+	0.929660i	$0.379899\pi$
$37$	−22.9733	+	39.7909i	−0.620900	+	1.07543i	−0.989318	+	0.145770i	$0.953434\pi$
$38$	−34.8307	−	44.6192i	−0.916599	−	1.17419i
$39$	35.5333	−	39.9276i	0.911110	−	1.02378i
$40$	24.2458	−	6.01334i	0.606144	−	0.150334i
$41$	−4.27327	+	1.55534i	−0.104226	+	0.0379352i	−0.393607	−	0.919279i	$-0.628773\pi$
$41$	−4.27327	+	1.55534i	−0.104226	+	0.0379352i	0.289381	+	0.957214i	$0.406551\pi$
$42$	−6.60160	+	27.0996i	−0.157181	+	0.645230i
$43$	−12.6921	+	2.23796i	−0.295165	+	0.0520456i	−0.319270	−	0.947664i	$-0.603438\pi$
$43$	−12.6921	+	2.23796i	−0.295165	+	0.0520456i	0.0241045	+	0.999709i	$0.492327\pi$
$44$	−9.29693	+	4.52494i	−0.211294	+	0.102840i
$45$	20.4409	+	19.2858i	0.454242	+	0.428573i
$46$	38.6910	+	24.1990i	0.841109	+	0.526065i
$47$	1.37925	+	1.64373i	0.0293458	+	0.0349730i	0.780518	−	0.625134i	$-0.214956\pi$
$47$	1.37925	+	1.64373i	0.0293458	+	0.0349730i	−0.751172	+	0.660107i	$0.770511\pi$
$48$	−23.8269	+	41.6687i	−0.496393	+	0.868098i
$49$	4.75617	−	26.9736i	0.0970646	−	0.550481i
$50$	−6.35348	+	29.8304i	−0.127070	+	0.596607i
$51$	1.80765	−	62.1030i	0.0354442	−	1.21771i
$52$	57.6897	−	41.8415i	1.10942	−	0.804644i
$53$	−31.8446			−0.600841			−0.300420	−	0.953807i	$-0.597127\pi$
$53$	−31.8446			−0.600841			−0.300420	+	0.953807i	$0.597127\pi$
$54$	−53.9272	+	2.80227i	−0.998653	+	0.0518938i
$55$			8.07149i			0.146754i
$56$	−16.3441	+	33.4056i	−0.291859	+	0.596528i
$57$	44.5747	−	72.2649i	0.782012	−	1.26781i
$58$	−2.61610	+	12.2829i	−0.0451052	+	0.211774i
$59$	111.470	+	19.6551i	1.88932	+	0.333138i	0.993736	−	0.111757i	$-0.0356477\pi$
$59$	111.470	+	19.6551i	1.88932	+	0.333138i	0.895583	+	0.444894i	$0.146759\pi$
$60$	21.1078	+	30.9596i	0.351797	+	0.515994i
$61$	63.3215	−	53.1331i	1.03806	−	0.871034i	0.0462698	−	0.998929i	$-0.485267\pi$
$61$	63.3215	−	53.1331i	1.03806	−	0.871034i	0.991788	+	0.127895i	$0.0408222\pi$
$62$	−59.0272	−	36.9181i	−0.952052	−	0.595453i
$63$	−41.5554	+	4.85626i	−0.659610	+	0.0770836i
$64$	−42.9417	+	47.4553i	−0.670965	+	0.741489i
$65$	−9.66050	−	54.7874i	−0.148623	−	0.842883i
$66$	−11.2145	−	10.7134i	−0.169917	−	0.162325i
$67$	10.8572	+	29.8298i	0.162047	+	0.445221i	0.993968	−	0.109674i	$-0.0349807\pi$
$67$	10.8572	+	29.8298i	0.162047	+	0.445221i	−0.831921	+	0.554895i	$0.812759\pi$
$68$	20.1068	−	80.3619i	0.295688	−	1.18179i
$69$	−13.8431	+	67.0387i	−0.200624	+	0.971575i
$70$	17.8641	+	22.8845i	0.255202	+	0.326921i
$71$	−0.0648998	−	0.0374699i	−0.000914081	−	0.000527745i	0.499543	−	0.866289i	$-0.333501\pi$
$71$	−0.0648998	−	0.0374699i	−0.000914081	−	0.000527745i	−0.500457	+	0.865761i	$0.666835\pi$
$72$	−71.0321	−	11.7660i	−0.986557	−	0.163417i
$73$	−60.1132	−	104.119i	−0.823469	−	1.42629i	−0.903084	−	0.429465i	$-0.858702\pi$
$73$	−60.1132	−	104.119i	−0.823469	−	1.42629i	0.0796145	−	0.996826i	$-0.474631\pi$
$74$	−85.1877	−	34.4589i	−1.15119	−	0.465660i
$75$	−45.2662	+	6.63005i	−0.603550	+	0.0884007i
$76$	78.7084	−	81.3707i	1.03564	−	1.07067i
$77$	−9.20513	−	7.72402i	−0.119547	−	0.100312i
$78$	88.9442	+	59.2979i	1.14031	+	0.760230i
$79$	−0.117809	+	0.323678i	−0.00149126	+	0.00409720i	−0.940436	−	0.339971i	$-0.889583\pi$
$79$	−0.117809	+	0.323678i	−0.00149126	+	0.00409720i	0.938945	+	0.344068i	$0.111805\pi$
$80$	18.6393	+	46.3535i	0.232991	+	0.579419i
$81$	−32.0794	−	74.3768i	−0.396042	−	0.918232i
$82$	−4.26656	−	8.03220i	−0.0520312	−	0.0979537i
$83$	−32.5283	+	89.3708i	−0.391907	+	1.07676i	0.574222	+	0.818700i	$0.305305\pi$
$83$	−32.5283	+	89.3708i	−0.391907	+	1.07676i	−0.966130	+	0.258057i	$0.916918\pi$
$84$	−55.5071	−	5.55448i	−0.660799	−	0.0661247i
$85$	−49.5379	−	41.5672i	−0.582799	−	0.489026i
$86$	−7.95507	−	24.5175i	−0.0925008	−	0.285088i
$87$	−18.6388	+	2.72998i	−0.214239	+	0.0313791i
$88$	−11.5425	−	17.1582i	−0.131165	−	0.194979i
$89$	59.4029	+	102.889i	0.667449	+	1.15605i	0.978615	+	0.205700i	$0.0659470\pi$
$89$	59.4029	+	102.889i	0.667449	+	1.15605i	−0.311167	+	0.950355i	$0.600720\pi$
$90$	−32.5254	+	45.8387i	−0.361394	+	0.509319i
$91$	71.7269	+	41.4116i	0.788208	+	0.455072i
$92$	−37.1918	+	83.3493i	−0.404258	+	0.905971i
$93$	21.1191	−	102.275i	0.227087	−	1.09973i
$94$	−2.87287	+	3.18801i	−0.0305625	+	0.0339150i
$95$	−30.2259	−	83.0451i	−0.318168	−	0.874159i
$96$	−89.1438	−	35.6283i	−0.928582	−	0.371128i
$97$	11.2136	+	63.5953i	0.115604	+	0.655622i	0.986449	+	0.164065i	$0.0524608\pi$
$97$	11.2136	+	63.5953i	0.115604	+	0.655622i	−0.870846	+	0.491556i	$0.836428\pi$
$98$	54.7452	+	1.93431i	0.558624	+	0.0197379i
$99$	9.21491	−	21.3614i	0.0930799	−	0.215771i
$100$	−60.8468	−	4.30518i	−0.608468	−	0.0430518i
$101$	96.7701	−	81.1997i	0.958120	−	0.803958i	−0.0225265	−	0.999746i	$-0.507171\pi$
$101$	96.7701	−	81.1997i	0.958120	−	0.803958i	0.980646	+	0.195788i	$0.0627266\pi$
$102$	123.506	−	13.6552i	1.21084	−	0.133874i
$103$	−154.727	−	27.2826i	−1.50221	−	0.264879i	−0.638794	−	0.769378i	$-0.720566\pi$
$103$	−154.727	−	27.2826i	−1.50221	−	0.264879i	−0.863412	+	0.504499i	$0.831677\pi$
$104$	98.8840	+	102.651i	0.950807	+	0.987027i
$105$	−22.8616	+	37.0635i	−0.217730	+	0.352986i
$106$	−8.83784	−	63.0730i	−0.0833759	−	0.595028i
$107$			135.536i			1.26670i	0.773867	+	0.633348i	$0.218320\pi$
$107$			135.536i			1.26670i	−0.773867	+	0.633348i	$0.781680\pi$
$108$	−20.5168	−	106.033i	−0.189970	−	0.981790i
$109$	−19.3978			−0.177962			−0.0889809	−	0.996033i	$-0.528361\pi$
$109$	−19.3978			−0.177962			−0.0889809	+	0.996033i	$0.528361\pi$
$110$	−15.9868	+	2.24008i	−0.145335	+	0.0203644i
$111$	4.01045	−	137.781i	0.0361302	−	1.24127i
$112$	−70.7007	−	23.1009i	−0.631257	−	0.206258i
$113$	−15.9448	+	90.4277i	−0.141105	+	0.800245i	0.829308	+	0.558792i	$0.188735\pi$
$113$	−15.9448	+	90.4277i	−0.141105	+	0.800245i	−0.970413	+	0.241453i	$0.922376\pi$
$114$	155.502	+	68.2312i	1.36406	+	0.598519i
$115$	45.7980	+	54.5800i	0.398244	+	0.474609i
$116$	−25.0542	−	1.77270i	−0.215984	−	0.0152819i
$117$	−36.9820	+	156.025i	−0.316085	+	1.33355i
$118$	−7.99367	+	226.238i	−0.0677430	+	1.91727i
$119$	94.8107	−	16.7177i	0.796729	−	0.140485i
$120$	−55.4622	+	50.3994i	−0.462185	+	0.419995i
$121$	−107.424	+	39.0991i	−0.887802	+	0.323133i
$122$	122.812	+	110.672i	1.00665	+	0.907145i
$123$	9.06963	−	10.1912i	0.0737368	−	0.0828556i
$124$	56.7400	−	127.158i	0.457581	−	1.02547i
$125$	−62.8407	+	108.843i	−0.502726	+	0.870747i
$126$	−21.1515	−	80.9590i	−0.167869	−	0.642532i
$127$	184.813	−	106.702i	1.45522	−	0.840170i	0.456448	−	0.889750i	$-0.349122\pi$
$127$	184.813	−	106.702i	1.45522	−	0.840170i	0.998770	+	0.0495799i	$0.0157883\pi$
$128$	−105.910	−	71.8823i	−0.827422	−	0.561580i
$129$	30.3287	−	23.9803i	0.235106	−	0.185894i
$130$	105.834	−	34.3392i	0.814105	−	0.264148i
$131$	1.67775	−	1.99947i	0.0128073	−	0.0152631i	−0.759603	−	0.650387i	$-0.774607\pi$
$131$	1.67775	−	1.99947i	0.0128073	−	0.0152631i	0.772410	+	0.635124i	$0.219051\pi$
$132$	18.1072	−	25.1854i	0.137175	−	0.190798i
$133$	123.634	+	44.9989i	0.929576	+	0.338338i
$134$	−56.0692	+	29.7829i	−0.418427	+	0.222260i
$135$	−81.4352	−	21.8232i	−0.603224	−	0.161653i
$136$	164.749	+	17.5216i	1.21139	+	0.128835i
$137$	179.564	+	65.3560i	1.31069	+	0.477051i	0.900463	−	0.434933i	$-0.143228\pi$
$137$	179.564	+	65.3560i	1.31069	+	0.477051i	0.410225	+	0.911985i	$0.365450\pi$
$138$	−136.622	−	8.81304i	−0.990015	−	0.0638626i
$139$	53.4641	−	63.7160i	0.384634	−	0.458389i	−0.538637	−	0.842538i	$-0.681061\pi$
$139$	53.4641	−	63.7160i	0.384634	−	0.458389i	0.923271	+	0.384149i	$0.125505\pi$
$140$	−40.3683	+	41.7337i	−0.288345	+	0.298098i
$141$	−5.98239	−	2.37672i	−0.0424283	−	0.0168562i
$142$	0.0562031	−	0.138943i	0.000395797	−	0.000978470i
$143$	−39.8838	+	23.0269i	−0.278908	+	0.161028i
$144$	3.59082	−	143.955i	0.0249363	−	0.999689i
$145$	−9.80354	+	16.9802i	−0.0676106	+	0.117105i
$146$	189.540	−	147.960i	1.29822	−	1.01342i
$147$	25.8450	+	77.9986i	0.175817	+	0.530603i
$148$	44.6088	−	178.290i	0.301411	−	1.20467i
$149$	−50.4885	+	18.3763i	−0.338849	+	0.123331i	−0.505840	−	0.862628i	$-0.668817\pi$
$149$	−50.4885	+	18.3763i	−0.338849	+	0.123331i	0.166991	+	0.985958i	$0.446595\pi$
$150$	−25.6946	−	87.8165i	−0.171297	−	0.585444i
$151$	−49.1219	+	8.66152i	−0.325311	+	0.0573610i	−0.333919	−	0.942602i	$-0.608371\pi$
$151$	−49.1219	+	8.66152i	−0.325311	+	0.0573610i	0.00860797	+	0.999963i	$0.497260\pi$
$152$	183.011	+	133.311i	1.20402	+	0.877046i
$153$	83.6473	+	166.564i	0.546714	+	1.08865i
$154$	12.7439	−	20.3758i	0.0827525	−	0.132310i
$155$	−69.8698	−	83.2676i	−0.450773	−	0.537210i
$156$	−92.7637	+	192.624i	−0.594639	+	1.23477i
$157$	−31.3995	+	178.075i	−0.199997	+	1.13424i	0.705124	+	0.709084i	$0.250891\pi$
$157$	−31.3995	+	178.075i	−0.199997	+	1.13424i	−0.905121	+	0.425154i	$0.860220\pi$
$158$	−0.673790	−	0.143508i	−0.00426449	−	0.000908281i
$159$	84.0894	−	45.3395i	0.528864	−	0.285154i
$160$	−86.6371	+	49.7824i	−0.541482	+	0.311140i
$161$	−106.072			−0.658834
$162$	138.411	−	84.1799i	0.854392	−	0.519629i
$163$		−	8.91711i		−	0.0547062i	−0.999626	−	0.0273531i	$-0.991292\pi$
$163$		−	8.91711i		−	0.0547062i	0.999626	−	0.0273531i	$-0.00870785\pi$
$164$	14.7249	−	10.6797i	0.0897859	−	0.0651204i
$165$	−11.4920	−	21.3137i	−0.0696483	−	0.129174i
$166$	−186.040	−	39.6241i	−1.12072	−	0.238699i
$167$	−285.053	−	50.2625i	−1.70690	−	0.300973i	−0.766805	−	0.641880i	$-0.778155\pi$
$167$	−285.053	−	50.2625i	−1.70690	−	0.300973i	−0.940097	+	0.340908i	$0.889266\pi$
$168$	−4.40344	−	111.482i	−0.0262109	−	0.663581i
$169$	113.701	−	95.4061i	0.672784	−	0.564533i
$170$	68.5819	−	109.653i	0.403423	−	0.645020i
$171$	−14.8159	+	254.288i	−0.0866425	+	1.48707i
$172$	46.3529	−	22.5606i	0.269494	−	0.131166i
$173$	−55.6641	−	315.687i	−0.321758	−	1.82478i	−0.531541	−	0.847032i	$-0.678387\pi$
$173$	−55.6641	−	315.687i	−0.321758	−	1.82478i	0.209783	−	0.977748i	$-0.432724\pi$
$174$	−10.5800	−	36.1592i	−0.0608044	−	0.207812i
$175$	−24.2463	−	66.6160i	−0.138550	−	0.380663i
$176$	30.7809	−	27.6236i	0.174892	−	0.156952i
$177$	−322.334	+	106.806i	−1.82109	+	0.603424i
$178$	−187.301	+	146.211i	−1.05225	+	0.821412i
$179$	−162.728	−	93.9512i	−0.909096	−	0.524867i	−0.0289558	−	0.999581i	$-0.509218\pi$
$179$	−162.728	−	93.9512i	−0.909096	−	0.524867i	−0.880140	+	0.474714i	$0.842552\pi$
$180$	−99.8172	−	51.6999i	−0.554540	−	0.287222i
$181$	−87.5994	−	151.727i	−0.483975	−	0.838269i	0.515856	−	0.856675i	$-0.327474\pi$
$181$	−87.5994	−	151.727i	−0.483975	−	0.838269i	−0.999831	+	0.0184065i	$0.994141\pi$
$182$	−62.1154	+	153.559i	−0.341294	+	0.843731i
$183$	−91.5585	+	230.460i	−0.500320	+	1.25934i
$184$	−175.408	−	50.5319i	−0.953303	−	0.274630i
$185$	−109.905	−	92.2208i	−0.594078	−	0.498491i
$186$	208.431	+	13.4452i	1.12060	+	0.0722862i
$187$	−18.3093	+	50.3044i	−0.0979108	+	0.269008i
$188$	−7.11164	−	4.80539i	−0.0378279	−	0.0255606i
$189$	102.818	−	71.9891i	0.544010	−	0.380895i
$190$	156.095	−	82.9146i	0.821551	−	0.436393i
$191$	−27.9840	+	76.8854i	−0.146513	+	0.402541i	−0.991141	−	0.132812i	$-0.957599\pi$
$191$	−27.9840	+	76.8854i	−0.146513	+	0.402541i	0.844628	+	0.535353i	$0.179822\pi$
$192$	45.8271	−	186.451i	0.238683	−	0.971098i
$193$	235.485	+	197.596i	1.22013	+	1.02381i	0.998818	+	0.0486086i	$0.0154787\pi$
$193$	235.485	+	197.596i	1.22013	+	1.02381i	0.221313	+	0.975203i	$0.428966\pi$
$194$	−122.848	+	39.8598i	−0.633237	+	0.205463i
$195$	103.515	+	130.918i	0.530844	+	0.671376i
$196$	11.3623	+	108.968i	0.0579707	+	0.555959i
$197$	7.31189	+	12.6646i	0.0371162	+	0.0642871i	0.883987	−	0.467512i	$-0.154850\pi$
$197$	7.31189	+	12.6646i	0.0371162	+	0.0642871i	−0.846871	+	0.531799i	$0.821516\pi$
$198$	44.8668	+	12.3231i	0.226600	+	0.0622378i
$199$	−9.61962	−	5.55389i	−0.0483398	−	0.0279090i	0.475635	−	0.879643i	$-0.342218\pi$
$199$	−9.61962	−	5.55389i	−0.0483398	−	0.0279090i	−0.523975	+	0.851734i	$0.675552\pi$
$200$	−8.35979	−	121.711i	−0.0417989	−	0.608555i
$201$	−71.1405	−	63.3109i	−0.353933	−	0.314980i
$202$	187.685	+	169.132i	0.929134	+	0.837289i
$203$	−9.98360	−	27.4297i	−0.0491803	−	0.135122i
$204$	61.3228	+	240.833i	0.300602	+	1.18055i
$205$	−2.46577	−	13.9841i	−0.0120282	−	0.0682151i
$206$	11.0957	−	314.032i	0.0538627	−	1.52443i
$207$	−58.8936	−	196.733i	−0.284510	−	0.950401i
$208$	−175.872	+	224.343i	−0.845539	+	1.07857i
$209$	−56.0427	+	47.0254i	−0.268147	+	0.225002i
$210$	−79.7547	−	34.9947i	−0.379784	−	0.166641i
$211$	−227.524	−	40.1186i	−1.07831	−	0.190135i	−0.393843	−	0.919178i	$-0.628855\pi$
$211$	−227.524	−	40.1186i	−1.07831	−	0.190135i	−0.684468	+	0.729042i	$0.739966\pi$
$212$	122.473	−	35.0094i	0.577702	−	0.165138i
$213$	0.224724	+	0.00654113i	0.00105504	+	3.07095e-5i
$214$	−268.450	+	37.6155i	−1.25444	+	0.175773i
$215$		−	40.2430i		−	0.187177i
$216$	204.321	−	70.0640i	0.945930	−	0.324371i
$217$	161.825			0.745735
$218$	−5.38349	−	38.4203i	−0.0246949	−	0.176240i
$219$	306.978	+	189.351i	1.40173	+	0.864618i
$220$	−8.87365	−	31.0426i	−0.0403348	−	0.141103i
$221$	64.0717	−	363.369i	0.289917	−	1.64420i
$222$	274.010	−	30.2953i	1.23428	−	0.136465i
$223$	−15.4066	−	18.3609i	−0.0690879	−	0.0823358i	0.730393	−	0.683027i	$-0.239337\pi$
$223$	−15.4066	−	18.3609i	−0.0690879	−	0.0823358i	−0.799481	+	0.600691i	$0.794892\pi$
$224$	26.1332	−	146.445i	0.116666	−	0.653771i
$225$	110.091	−	81.9563i	0.489294	−	0.364250i
$226$	−183.531	−	6.48470i	−0.812083	−	0.0286934i
$227$	288.723	−	50.9096i	1.27191	−	0.224271i	0.503366	−	0.864073i	$-0.332095\pi$
$227$	288.723	−	50.9096i	1.27191	−	0.224271i	0.768540	+	0.639802i	$0.220984\pi$
$228$	−91.9854	+	326.932i	−0.403445	+	1.43391i
$229$	−235.290	+	85.6387i	−1.02747	+	0.373968i	−0.800117	−	0.599844i	$-0.795229\pi$
$229$	−235.290	+	85.6387i	−1.02747	+	0.373968i	−0.227352	+	0.973813i	$0.573007\pi$
$230$	−95.3935	+	105.858i	−0.414754	+	0.460250i
$231$	35.3045	+	7.29017i	0.152833	+	0.0315592i
$232$	−3.44221	−	50.1156i	−0.0148371	−	0.216015i
$233$	44.3299	−	76.7816i	0.190257	−	0.329535i	−0.755078	−	0.655635i	$-0.772401\pi$
$233$	44.3299	−	76.7816i	0.190257	−	0.329535i	0.945335	+	0.326100i	$0.105735\pi$
$234$	−319.295	−	29.9467i	−1.36451	−	0.127977i
$235$	−5.80251	+	3.35008i	−0.0246915	+	0.0142557i
$236$	−450.316	+	46.9552i	−1.90812	+	0.198963i
$237$	−0.149755	−	1.02245i	−0.000631879	−	0.00431412i
$238$	59.4248	+	183.147i	0.249684	+	0.769526i
$239$	193.538	−	230.649i	0.809781	−	0.965059i	−0.190080	−	0.981769i	$-0.560875\pi$
$239$	193.538	−	230.649i	0.809781	−	0.965059i	0.999860	+	0.0167096i	$0.00531909\pi$
$240$	−115.216	−	95.8638i	−0.480067	−	0.399432i
$241$	293.914	+	106.976i	1.21956	+	0.443883i	0.870009	−	0.493035i	$-0.164113\pi$
$241$	293.914	+	106.976i	1.21956	+	0.443883i	0.349549	+	0.936918i	$0.386335\pi$
$242$	−107.255	−	201.918i	−0.443203	−	0.834373i
$243$	190.605	+	150.727i	0.784384	+	0.620276i
$244$	−185.118	+	273.962i	−0.758680	+	1.12279i
$245$	80.3676	+	29.2514i	0.328031	+	0.119393i
$246$	22.7024	+	15.1354i	0.0922861	+	0.0615259i
$247$	324.122	−	386.273i	1.31223	−	1.56386i
$248$	267.603	+	77.0918i	1.07904	+	0.310854i
$249$	−41.3489	−	282.307i	−0.166060	−	1.13376i
$250$	−233.021	−	94.2582i	−0.932084	−	0.377033i
$251$	−179.464	+	103.614i	−0.714997	+	0.412804i	−0.812909	−	0.582391i	$-0.802117\pi$
$251$	−179.464	+	103.614i	−0.714997	+	0.412804i	0.0979113	+	0.995195i	$0.468784\pi$
$252$	154.481	−	64.3623i	0.613021	−	0.255406i
$253$	29.4908	−	51.0796i	0.116564	−	0.201895i
$254$	262.630	+	336.436i	1.03398	+	1.32455i
$255$	189.993	+	39.2324i	0.745071	+	0.153853i
$256$	112.980	−	229.720i	0.441330	−	0.897345i
$257$	−348.175	+	126.725i	−1.35477	+	0.493095i	−0.914432	−	0.404739i	$-0.867363\pi$
$257$	−348.175	+	126.725i	−1.35477	+	0.493095i	−0.440335	+	0.897834i	$0.645140\pi$
$258$	55.9137	+	53.4153i	0.216720	+	0.207036i
$259$	210.347	−	37.0898i	0.812149	−	0.143204i
$260$	97.3861	+	200.089i	0.374562	+	0.769574i
$261$	45.3310	−	33.7462i	0.173682	−	0.129296i
$262$	4.42587	+	2.76813i	0.0168926	+	0.0105654i
$263$	−118.833	−	141.619i	−0.451836	−	0.538477i	0.491253	−	0.871017i	$-0.336539\pi$
$263$	−118.833	−	141.619i	−0.451836	−	0.538477i	−0.943089	+	0.332540i	$0.892094\pi$
$264$	54.9087	+	28.8742i	0.207988	+	0.109372i
$265$	17.2669	−	97.9253i	0.0651580	−	0.369530i
$266$	−54.8151	+	257.363i	−0.206072	+	0.967532i
$267$	−303.351	−	187.114i	−1.13615	−	0.700802i
$268$	−74.5504	−	102.788i	−0.278173	−	0.383536i
$269$	496.062			1.84410			0.922049	−	0.387074i	$-0.126514\pi$
$269$	496.062			1.84410			0.922049	+	0.387074i	$0.126514\pi$
$270$	20.6234	−	167.351i	0.0763828	−	0.619820i
$271$		−	316.792i		−	1.16897i	−0.811403	−	0.584487i	$-0.801296\pi$
$271$		−	316.792i		−	1.16897i	0.811403	−	0.584487i	$-0.198704\pi$
$272$	11.0187	+	331.173i	0.0405099	+	1.21755i
$273$	−248.364	−	7.22922i	−0.909759	−	0.0264807i
$274$	−79.6129	+	373.792i	−0.290558	+	1.36420i
$275$	38.8203	+	6.84507i	0.141165	+	0.0248912i
$276$	−20.4612	−	273.046i	−0.0741349	−	0.989299i
$277$	−228.590	+	191.810i	−0.825235	+	0.692455i	−0.954192	−	0.299196i	$-0.903282\pi$
$277$	−228.590	+	191.810i	−0.825235	+	0.692455i	0.128957	+	0.991650i	$0.458837\pi$
$278$	141.037	+	88.2105i	0.507328	+	0.317304i
$279$	89.8484	+	300.137i	0.322037	+	1.07576i
$280$	−93.8634	−	68.3731i	−0.335226	−	0.244190i
$281$	28.7377	+	162.980i	0.102270	+	0.579999i	0.992276	+	0.124051i	$0.0395887\pi$
$281$	28.7377	+	162.980i	0.102270	+	0.579999i	−0.890006	+	0.455948i	$0.849300\pi$
$282$	3.04716	−	12.5086i	0.0108055	−	0.0443569i
$283$	128.140	+	352.062i	0.452792	+	1.24404i	0.930751	+	0.365654i	$0.119155\pi$
$283$	128.140	+	352.062i	0.452792	+	1.24404i	−0.477959	+	0.878382i	$0.658623\pi$
$284$	0.290795	+	0.0727578i	0.00102393	+	0.000256190i
$285$	198.053	+	176.256i	0.694921	+	0.618440i
$286$	−56.6773	−	72.6053i	−0.198172	−	0.253865i
$287$	18.3078	+	10.5700i	0.0637902	+	0.0368293i
$288$	286.122	−	32.8398i	0.993478	−	0.114027i
$289$	−69.9473	−	121.152i	−0.242032	−	0.419212i
$290$	−36.3527	−	14.7049i	−0.125354	−	0.0507064i
$291$	−120.156	−	151.965i	−0.412908	−	0.522218i
$292$	345.660	+	334.350i	1.18377	+	1.14503i
$293$	−275.790	−	231.416i	−0.941264	−	0.789815i	0.0365406	−	0.999332i	$-0.488366\pi$
$293$	−275.790	−	231.416i	−0.941264	−	0.789815i	−0.977805	+	0.209518i	$0.932811\pi$
$294$	−147.315	+	72.8370i	−0.501072	+	0.247745i
$295$	−120.883	+	332.124i	−0.409773	+	1.12584i
$296$	365.511	+	38.8734i	1.23484	+	0.131329i
$297$	6.08067	+	69.5272i	0.0204736	+	0.234098i
$298$	−50.4092	−	94.9001i	−0.169158	−	0.318457i
$299$	−139.041	+	382.013i	−0.465021	+	1.27763i
$300$	166.803	−	75.2638i	0.556009	−	0.250879i
$301$	45.8952	+	38.5106i	0.152476	+	0.127942i
$302$	−30.7883	−	94.8895i	−0.101948	−	0.314204i
$303$	−139.923	+	352.196i	−0.461792	+	1.16236i
$304$	−213.251	+	399.479i	−0.701485	+	1.31407i
$305$	129.055	+	223.530i	0.423132	+	0.732886i
$306$	−306.690	+	211.903i	−1.00226	+	0.692493i
$307$	−25.9467	−	14.9803i	−0.0845168	−	0.0487958i	0.457146	−	0.889392i	$-0.348872\pi$
$307$	−25.9467	−	14.9803i	−0.0845168	−	0.0487958i	−0.541663	+	0.840596i	$0.682205\pi$
$308$	43.8942	+	19.5863i	0.142514	+	0.0635918i
$309$	447.420	−	148.254i	1.44796	−	0.479785i
$310$	145.533	−	161.497i	0.469461	−	0.520958i
$311$	90.6051	+	248.936i	0.291335	+	0.800436i	0.995872	+	0.0907688i	$0.0289324\pi$
$311$	90.6051	+	248.936i	0.291335	+	0.800436i	−0.704537	+	0.709667i	$0.748845\pi$
$312$	−407.266	−	130.273i	−1.30534	−	0.417543i
$313$	−24.1122	−	136.747i	−0.0770356	−	0.436891i	−0.998793	−	0.0491230i	$-0.984357\pi$
$313$	−24.1122	−	136.747i	−0.0770356	−	0.436891i	0.921757	−	0.387768i	$-0.126754\pi$
$314$	−361.419	−	12.7700i	−1.15102	−	0.0406689i
$315$	7.59882	−	130.420i	0.0241233	−	0.414033i
$316$	0.0972428	−	1.37437i	0.000307730	−	0.00434927i
$317$	−149.944	+	125.818i	−0.473009	+	0.396902i	−0.847891	−	0.530171i	$-0.822128\pi$
$317$	−149.944	+	125.818i	−0.473009	+	0.396902i	0.374882	+	0.927073i	$0.377683\pi$
$318$	113.139	+	153.969i	0.355783	+	0.484178i
$319$	15.9846	+	2.81852i	0.0501084	+	0.00883547i
$320$	−122.646	−	157.782i	−0.383269	−	0.493068i
$321$	−192.973	−	357.900i	−0.601163	−	1.11495i
$322$	−29.4383	−	210.092i	−0.0914233	−	0.652460i
$323$		−	586.132i		−	1.81465i
$324$	205.144	+	250.782i	0.633162	+	0.774019i
$325$	−271.696			−0.835987
$326$	17.6617	−	2.47477i	0.0541769	−	0.00759132i
$327$	51.2223	−	27.6181i	0.156643	−	0.0844591i
$328$	25.2394	+	26.2009i	0.0769495	+	0.0798808i
$329$	1.73212	−	9.82334i	0.00526480	−	0.0298582i
$330$	39.0257	−	28.6768i	0.118260	−	0.0868994i
$331$	−7.54276	−	8.98911i	−0.0227878	−	0.0271574i	0.754530	−	0.656265i	$-0.227865\pi$
$331$	−7.54276	−	8.98911i	−0.0227878	−	0.0271574i	−0.777318	+	0.629108i	$0.783420\pi$
$332$	26.8497	−	379.477i	0.0808726	−	1.14300i
$333$	185.580	+	369.538i	0.557296	+	1.10972i
$334$	20.4416	−	578.539i	0.0612023	−	1.73215i
$335$	−97.6167	+	17.2125i	−0.291393	+	0.0513804i
$336$	219.584	−	39.6612i	0.653524	−	0.118039i
$337$	86.0445	−	31.3176i	0.255325	−	0.0929307i	−0.211187	−	0.977446i	$-0.567733\pi$
$337$	86.0445	−	31.3176i	0.255325	−	0.0929307i	0.466512	+	0.884515i	$0.345511\pi$
$338$	220.522	+	198.723i	0.652430	+	0.587938i
$339$	−86.6443	−	261.487i	−0.255588	−	0.771348i
$340$	236.219	+	105.405i	0.694761	+	0.310013i
$341$	−44.9913	+	77.9273i	−0.131939	+	0.228526i
$342$	−507.768	+	41.2277i	−1.48470	+	0.120549i
$343$	−307.536	+	177.556i	−0.896606	+	0.517656i
$344$	57.5490	+	85.5477i	0.167294	+	0.248685i
$345$	−198.645	−	78.9189i	−0.575782	−	0.228750i
$346$	609.817	−	197.864i	1.76248	−	0.571861i
$347$	−230.389	+	274.567i	−0.663944	+	0.791258i	−0.987946	−	0.154798i	$-0.950527\pi$
$347$	−230.389	+	274.567i	−0.663944	+	0.791258i	0.324002	+	0.946056i	$0.394972\pi$
$348$	68.6825	−	30.9905i	0.197363	−	0.0890531i
$349$	−424.517	−	154.511i	−1.21638	−	0.442726i	−0.347468	−	0.937692i	$-0.612958\pi$
$349$	−424.517	−	154.511i	−1.21638	−	0.442726i	−0.868913	+	0.494966i	$0.835181\pi$
$350$	125.214	−	66.5113i	0.357754	−	0.190032i
$351$	−124.489	−	464.657i	−0.354669	−	1.32381i
$352$	63.2554	+	53.2999i	0.179703	+	0.151420i
$353$	174.348	+	63.4575i	0.493903	+	0.179766i	0.576950	−	0.816780i	$-0.304243\pi$
$353$	174.348	+	63.4575i	0.493903	+	0.179766i	−0.0830465	+	0.996546i	$0.526465\pi$
$354$	−301.003	−	608.789i	−0.850291	−	1.71974i
$355$	0.150414	−	0.179256i	0.000423701	−	0.000504948i
$356$	−341.575	−	330.399i	−0.959481	−	0.928088i
$357$	−226.557	+	179.134i	−0.634613	+	0.501776i
$358$	140.922	−	348.382i	0.393638	−	0.973134i
$359$	19.1474	−	11.0548i	0.0533354	−	0.0307932i	−0.473095	−	0.881011i	$-0.656863\pi$
$359$	19.1474	−	11.0548i	0.0533354	−	0.0307932i	0.526431	+	0.850218i	$0.323530\pi$
$360$	74.6971	−	212.051i	0.207492	−	0.589031i
$361$	220.007	−	381.063i	0.609437	−	1.05558i
$362$	276.206	−	215.613i	0.763000	−	0.595615i
$363$	227.998	−	256.193i	0.628092	−	0.705767i
$364$	−321.386	−	80.4116i	−0.882927	−	0.220911i
$365$	352.772	−	128.399i	0.966499	−	0.351777i
$366$	−481.870	−	117.386i	−1.31659	−	0.320726i
$367$	−64.1920	+	11.3188i	−0.174910	+	0.0308414i	−0.260417	−	0.965496i	$-0.583860\pi$
$367$	−64.1920	+	11.3188i	−0.174910	+	0.0308414i	0.0855071	+	0.996338i	$0.472749\pi$
$368$	51.4051	−	361.446i	0.139688	−	0.982189i
$369$	−9.43940	+	39.8243i	−0.0255810	+	0.107925i
$370$	152.155	−	243.277i	0.411231	−	0.657504i
$371$	95.1554	+	113.402i	0.256484	+	0.305665i
$372$	31.2158	+	416.561i	0.0839134	+	1.11979i
$373$	−13.9077	+	78.8746i	−0.0372861	+	0.211460i	−0.997759	−	0.0669145i	$-0.978685\pi$
$373$	−13.9077	+	78.8746i	−0.0372861	+	0.211460i	0.960473	+	0.278375i	$0.0897956\pi$
$374$	−104.717	−	22.3033i	−0.279992	−	0.0596346i
$375$	10.9701	−	376.885i	0.0292536	−	1.00503i
$376$	7.54410	−	15.4193i	0.0200641	−	0.0410088i
$377$	−111.873			−0.296746
$378$	171.120	+	183.667i	0.452699	+	0.485892i
$379$			108.170i			0.285410i	0.989765	+	0.142705i	$0.0455799\pi$
$379$			108.170i			0.285410i	−0.989765	+	0.142705i	$0.954420\pi$
$380$	207.546	+	286.158i	0.546173	+	0.753047i
$381$	−336.101	+	544.890i	−0.882154	+	1.43016i
$382$	−160.050	−	34.0885i	−0.418978	−	0.0892369i
$383$	314.011	+	55.3687i	0.819873	+	0.144566i	0.567825	−	0.823149i	$-0.307785\pi$
$383$	314.011	+	55.3687i	0.819873	+	0.144566i	0.252048	+	0.967715i	$0.418896\pi$
$384$	382.012	+	39.0217i	0.994823	+	0.101619i
$385$	28.7434	−	24.1186i	0.0746582	−	0.0626457i
$386$	−326.013	+	521.253i	−0.844595	+	1.35040i
$387$	−45.9440	+	106.504i	−0.118718	+	0.275204i
$388$	−113.042	−	232.257i	−0.291346	−	0.598599i
$389$	22.7566	+	129.059i	0.0585003	+	0.331772i	0.999986	−	0.00528095i	$-0.00168099\pi$
$389$	22.7566	+	129.059i	0.0585003	+	0.331772i	−0.941486	+	0.337053i	$0.890570\pi$
$390$	−230.575	+	241.360i	−0.591218	+	0.618872i
$391$	161.621	+	444.050i	0.413353	+	1.13568i
$392$	−212.674	+	52.7466i	−0.542536	+	0.134558i
$393$	−1.58351	+	7.66856i	−0.00402930	+	0.0195129i
$394$	−23.0548	+	17.9971i	−0.0585147	+	0.0456779i
$395$	−0.931466	−	0.537782i	−0.00235814	−	0.00136147i
$396$	−11.9558	+	92.2855i	−0.0301915	+	0.233044i
$397$	179.796	+	311.416i	0.452887	+	0.784423i	0.998564	−	0.0535725i	$-0.0170608\pi$
$397$	179.796	+	311.416i	0.452887	+	0.784423i	−0.545677	+	0.837996i	$0.683727\pi$
$398$	8.33058	−	20.5945i	0.0209311	−	0.0517449i
$399$	−390.537	+	57.2012i	−0.978791	+	0.143361i
$400$	238.747	−	50.3364i	0.596868	−	0.125841i
$401$	259.700	+	217.914i	0.647631	+	0.543427i	0.906351	−	0.422525i	$-0.138856\pi$
$401$	259.700	+	217.914i	0.647631	+	0.543427i	−0.258720	+	0.965952i	$0.583301\pi$
$402$	105.653	−	158.475i	0.262819	−	0.394217i
$403$	212.122	−	582.801i	0.526358	−	1.44616i
$404$	−282.904	+	418.678i	−0.700257	+	1.03633i
$405$	246.111	−	58.3186i	0.607681	−	0.143996i
$406$	51.5579	−	27.3866i	0.126990	−	0.0674547i
$407$	−40.6210	+	111.605i	−0.0998058	+	0.274214i
$408$	−459.986	+	188.297i	−1.12742	+	0.461513i
$409$	283.138	+	237.581i	0.692270	+	0.580883i	0.919563	−	0.392943i	$-0.128543\pi$
$409$	283.138	+	237.581i	0.692270	+	0.580883i	−0.227293	+	0.973826i	$0.572988\pi$
$410$	27.0133	−	8.76485i	0.0658861	−	0.0213777i
$411$	−567.213	+	83.0784i	−1.38008	+	0.202137i
$412$	625.068	−	65.1768i	1.51715	−	0.158196i
$413$	−263.091	−	455.687i	−0.637025	−	1.10336i
$414$	373.315	−	171.247i	0.901726	−	0.413640i
$415$	−257.187	−	148.487i	−0.619727	−	0.357800i
$416$	−493.156	−	286.079i	−1.18547	−	0.687690i
$417$	−50.4611	+	244.370i	−0.121010	+	0.586020i
$418$	−108.694	−	97.9500i	−0.260035	−	0.234330i
$419$	21.0810	+	57.9195i	0.0503125	+	0.138233i	0.962304	−	0.271977i	$-0.0876776\pi$
$419$	21.0810	+	57.9195i	0.0503125	+	0.138233i	−0.911991	+	0.410210i	$0.865455\pi$
$420$	47.1778	−	167.678i	0.112328	−	0.399234i
$421$	−4.86271	−	27.5778i	−0.0115504	−	0.0655055i	0.978488	−	0.206305i	$-0.0661439\pi$
$421$	−4.86271	−	27.5778i	−0.0115504	−	0.0655055i	−0.990038	+	0.140799i	$0.955033\pi$
$422$	16.3161	−	461.779i	0.0386637	−	1.09426i
$423$	19.1811	−	2.24155i	0.0453454	−	0.00529917i
$424$	103.331	+	232.860i	0.243706	+	0.549197i
$425$	−241.931	+	203.004i	−0.569249	+	0.477657i
$426$	0.0494122	+	0.446916i	0.000115991	+	0.00104910i
$427$	−378.425	−	66.7265i	−0.886240	−	0.156268i
$428$	−149.006	−	521.267i	−0.348146	−	1.21791i
$429$	72.5328	−	117.591i	0.169074	−	0.274105i
$430$	79.7074	−	11.1687i	0.185366	−	0.0259737i
$431$			405.263i			0.940286i	0.882590	+	0.470143i	$0.155798\pi$
$431$			405.263i			0.940286i	−0.882590	+	0.470143i	$0.844202\pi$
$432$	195.478	+	385.243i	0.452495	+	0.891767i
$433$	208.330			0.481131			0.240565	−	0.970633i	$-0.422667\pi$
$433$	208.330			0.481131			0.240565	+	0.970633i	$0.422667\pi$
$434$	44.9113	+	320.518i	0.103482	+	0.738520i
$435$	1.71141	−	58.7964i	0.00393427	−	0.135164i
$436$	74.6032	−	21.3256i	0.171108	−	0.0489120i
$437$	−112.140	+	635.979i	−0.256614	+	1.45533i
$438$	−289.843	+	660.568i	−0.661742	+	1.50815i
$439$	272.688	+	324.977i	0.621157	+	0.740266i	0.981269	−	0.192643i	$-0.0617060\pi$
$439$	272.688	+	324.977i	0.621157	+	0.740266i	−0.360112	+	0.932909i	$0.617262\pi$
$440$	59.0218	−	26.1909i	0.134140	−	0.0595247i
$441$	−179.299	−	169.167i	−0.406574	−	0.383599i
$442$	737.488	+	26.0577i	1.66853	+	0.0589541i
$443$	613.592	−	108.193i	1.38508	−	0.244228i	0.569084	−	0.822280i	$-0.307298\pi$
$443$	613.592	−	108.193i	1.38508	−	0.244228i	0.816000	+	0.578052i	$0.196187\pi$
$444$	136.050	+	534.310i	0.306420	+	1.20340i
$445$	−348.604	+	126.881i	−0.783379	+	0.285127i
$446$	32.0907	−	35.6108i	0.0719522	−	0.0798449i
$447$	107.157	−	120.409i	0.239725	−	0.269371i
$448$	297.308	+	11.1178i	0.663635	+	0.0248164i
$449$	−14.5045	+	25.1226i	−0.0323041	+	0.0559523i	−0.881725	−	0.471763i	$-0.843618\pi$
$449$	−14.5045	+	25.1226i	−0.0323041	+	0.0559523i	0.849421	+	0.527715i	$0.176951\pi$
$450$	192.880	+	195.307i	0.428623	+	0.434015i
$451$	−10.1801	+	5.87747i	−0.0225722	+	0.0130321i
$452$	−38.0915	−	365.310i	−0.0842732	−	0.808208i
$453$	117.380	−	92.8103i	0.259117	−	0.204879i
$454$	180.963	+	557.730i	0.398598	+	1.22848i
$455$	−166.237	+	198.113i	−0.365356	+	0.435414i
$456$	−673.067	−	91.4573i	−1.47602	−	0.200564i
$457$	−396.716	−	144.393i	−0.868088	−	0.315958i	−0.130695	−	0.991423i	$-0.541721\pi$
$457$	−396.716	−	144.393i	−0.868088	−	0.315958i	−0.737393	+	0.675464i	$0.763943\pi$
$458$	−234.921	−	442.261i	−0.512927	−	0.965635i
$459$	−458.030	−	320.737i	−0.997887	−	0.698774i
$460$	−236.141	−	159.563i	−0.513351	−	0.346875i
$461$	26.9765	+	9.81863i	0.0585173	+	0.0212985i	0.371113	−	0.928588i	$-0.378976\pi$
$461$	26.9765	+	9.81863i	0.0585173	+	0.0212985i	−0.312596	+	0.949886i	$0.601198\pi$
$462$	−4.64121	+	71.9491i	−0.0100459	+	0.155734i
$463$	253.832	−	302.505i	0.548233	−	0.653359i	−0.418779	−	0.908088i	$-0.637542\pi$
$463$	253.832	−	302.505i	0.548233	−	0.653359i	0.967012	+	0.254729i	$0.0819863\pi$
$464$	98.3061	−	20.7264i	0.211867	−	0.0446690i
$465$	303.054	+	120.399i	0.651728	+	0.258923i
$466$	164.380	+	66.4927i	0.352748	+	0.142688i
$467$	264.780	−	152.871i	0.566982	−	0.327347i	−0.188961	−	0.981985i	$-0.560512\pi$
$467$	264.780	−	152.871i	0.566982	−	0.327347i	0.755943	+	0.654638i	$0.227179\pi$
$468$	−29.3001	−	640.722i	−0.0626070	−	1.36906i
$469$	73.7845	−	127.798i	0.157323	−	0.272491i
$470$	−8.24571	−	10.5630i	−0.0175441	−	0.0224745i
$471$	−170.625	−	514.935i	−0.362261	−	1.09328i
$472$	−217.978	−	878.887i	−0.461819	−	1.86205i
$473$	−31.3050	+	11.3941i	−0.0661839	+	0.0240890i
$474$	1.98355	−	0.580373i	0.00418469	−	0.00122442i
$475$	−425.044	+	74.9467i	−0.894829	+	0.157782i
$476$	−346.258	+	168.529i	−0.727434	+	0.354052i
$477$	−157.495	+	239.448i	−0.330178	+	0.501988i
$478$	510.548	+	319.318i	1.06809	+	0.668030i
$479$	58.4435	+	69.6502i	0.122011	+	0.145408i	0.823592	−	0.567182i	$-0.191967\pi$
$479$	58.4435	+	69.6502i	0.122011	+	0.145408i	−0.701581	+	0.712590i	$0.747522\pi$
$480$	157.897	−	254.808i	0.328951	−	0.530850i
$481$	142.149	−	806.168i	0.295529	−	1.67603i
$482$	−130.312	+	611.829i	−0.270356	+	1.26936i
$483$	280.096	−	151.023i	0.579910	−	0.312677i
$484$	370.163	−	268.474i	0.764799	−	0.554697i
$485$	−201.642			−0.415758
$486$	−245.639	+	419.354i	−0.505430	+	0.862868i
$487$			696.162i			1.42949i	0.699385	+	0.714745i	$0.253457\pi$
$487$			696.162i			1.42949i	−0.699385	+	0.714745i	$0.746543\pi$
$488$	−593.999	−	290.621i	−1.21721	−	0.595536i
$489$	12.6959	+	23.5467i	0.0259631	+	0.0481527i
$490$	−35.6324	+	167.298i	−0.0727191	+	0.341425i
$491$	120.362	+	21.2231i	0.245137	+	0.0432243i	0.294867	−	0.955538i	$-0.404725\pi$
$491$	120.362	+	21.2231i	0.245137	+	0.0432243i	−0.0497294	+	0.998763i	$0.515836\pi$
$492$	−23.6773	+	49.1660i	−0.0481246	+	0.0999310i
$493$	−99.6171	+	83.5887i	−0.202063	+	0.169551i
$494$	855.026	+	534.769i	1.73082	+	1.08253i
$495$	60.6918	+	39.9194i	0.122610	+	0.0806453i
$496$	−78.4239	+	551.423i	−0.158113	+	1.11174i
$497$	0.0604942	+	0.343079i	0.000121719	+	0.000690301i
$498$	547.676	−	160.247i	1.09975	−	0.321781i
$499$	84.7569	+	232.868i	0.169853	+	0.466669i	0.995189	−	0.0979740i	$-0.0312362\pi$
$499$	84.7569	+	232.868i	0.169853	+	0.466669i	−0.825335	+	0.564643i	$0.809014\pi$
$500$	122.022	−	487.692i	0.244044	−	0.975385i
$501$	824.278	−	273.126i	1.64526	−	0.545162i
$502$	−255.030	−	326.700i	−0.508027	−	0.650797i
$503$	672.109	+	388.042i	1.33620	+	0.771456i	0.986242	−	0.165310i	$-0.0528624\pi$
$503$	672.109	+	388.042i	1.33620	+	0.771456i	0.349958	+	0.936765i	$0.386196\pi$
$504$	170.352	+	288.111i	0.338001	+	0.571649i
$505$	197.227	+	341.606i	0.390548	+	0.676448i
$506$	109.355	+	44.2348i	0.216117	+	0.0874206i
$507$	−164.403	+	413.815i	−0.324266	+	0.816203i
$508$	−593.475	+	613.549i	−1.16826	+	1.20777i
$509$	146.977	+	123.328i	0.288756	+	0.242295i	0.775646	−	0.631168i	$-0.217424\pi$
$509$	146.977	+	123.328i	0.288756	+	0.242295i	−0.486890	+	0.873463i	$0.661869\pi$
$510$	−24.9769	+	387.198i	−0.0489743	+	0.759212i
$511$	−191.154	+	525.190i	−0.374078	+	1.02777i
$512$	486.351	+	160.020i	0.949905	+	0.312540i
$513$	−322.926	−	692.573i	−0.629485	−	1.35004i
$514$	−347.628	−	654.443i	−0.676319	−	1.27324i
$515$	167.794	−	461.009i	0.325813	−	0.895163i
$516$	−90.2792	+	125.570i	−0.174960	+	0.243353i
$517$	4.24890	+	3.56525i	0.00821837	+	0.00689603i
$518$	131.840	+	406.330i	0.254516	+	0.784420i
$519$	596.455	+	754.356i	1.14924	+	1.45348i
$520$	−369.279	+	248.419i	−0.710152	+	0.477728i
$521$	91.6758	+	158.787i	0.175961	+	0.304774i	0.940494	−	0.339812i	$-0.110363\pi$
$521$	91.6758	+	158.787i	0.175961	+	0.304774i	−0.764532	+	0.644585i	$0.777030\pi$
$522$	79.4202	+	80.4192i	0.152146	+	0.154060i
$523$	133.492	+	77.0714i	0.255242	+	0.147364i	0.622162	−	0.782888i	$-0.286254\pi$
$523$	133.492	+	77.0714i	0.255242	+	0.147364i	−0.366920	+	0.930252i	$0.619588\pi$
$524$	−4.25437	+	9.53434i	−0.00811904	+	0.0181953i
$525$	158.871	+	141.386i	0.302612	+	0.269307i
$526$	247.519	−	274.670i	0.470568	−	0.522186i
$527$	−246.570	−	677.446i	−0.467875	−	1.28548i
$528$	−41.9509	+	116.769i	−0.0794525	+	0.221152i
$529$	1.45068	+	8.22723i	0.00274231	+	0.0155524i
$530$	198.748	+	7.02238i	0.374996	+	0.0132498i
$531$	699.093	−	740.964i	1.31656	−	1.39541i
$532$	−524.960	−	37.1433i	−0.986767	−	0.0698182i
$533$	62.0654	−	52.0791i	0.116445	−	0.0977093i
$534$	286.418	−	652.762i	0.536364	−	1.22240i
$535$	−416.789	−	73.4911i	−0.779044	−	0.137366i
$536$	182.897	−	176.185i	0.341225	−	0.328704i
$537$	563.468	+	16.4011i	1.04929	+	0.0305420i
$538$	137.672	+	982.526i	0.255897	+	1.82626i
$539$		−	70.7998i		−	0.131354i
$540$	337.188	−	5.59742i	0.624422	−	0.0103656i
$541$	−914.557			−1.69049			−0.845246	−	0.534377i	$-0.820546\pi$
$541$	−914.557			−1.69049			−0.845246	+	0.534377i	$0.820546\pi$
$542$	627.454	−	87.9194i	1.15766	−	0.162213i
$543$	447.341	+	275.931i	0.823833	+	0.508159i
$544$	−652.880	+	113.735i	−1.20015	+	0.209071i
$545$	10.5180	−	59.6504i	0.0192990	−	0.109450i
$546$	−54.6101	−	493.929i	−0.100019	−	0.904632i
$547$	−518.289	−	617.673i	−0.947512	−	1.12920i	−0.991492	−	0.130169i	$-0.958448\pi$
$547$	−518.289	−	617.673i	−0.947512	−	1.12920i	0.0439796	−	0.999032i	$-0.485996\pi$
$548$	−762.447	−	53.9465i	−1.39133	−	0.0984425i
$549$	−86.3513	−	738.915i	−0.157288	−	1.34593i
$550$	−2.78386	+	78.7892i	−0.00506157	+	0.143253i
$551$	−175.015	+	30.8599i	−0.317632	+	0.0560071i
$552$	535.131	−	116.305i	0.969440	−	0.210698i
$553$	1.50468	−	0.547659i	0.00272094	−	0.000990342i
$554$	−443.349	−	399.524i	−0.800269	−	0.721163i
$555$	421.518	+	87.0409i	0.759491	+	0.156830i
$556$	−135.572	+	303.826i	−0.243835	+	0.546450i
$557$	309.208	−	535.563i	0.555130	−	0.961514i	−0.442763	−	0.896639i	$-0.646002\pi$
$557$	309.208	−	535.563i	0.555130	−	0.961514i	0.997893	−	0.0648754i	$-0.0206650\pi$
$558$	−569.531	+	261.255i	−1.02066	+	0.468200i
$559$	198.854	−	114.808i	0.355731	−	0.205382i
$560$	109.373	−	204.886i	0.195309	−	0.365868i
$561$	−23.2742	−	158.903i	−0.0414870	−	0.283250i
$562$	−314.830	+	102.151i	−0.560197	+	0.181764i
$563$	−22.9512	+	27.3522i	−0.0407660	+	0.0485830i	−0.786042	−	0.618173i	$-0.787873\pi$
$563$	−22.9512	+	27.3522i	−0.0407660	+	0.0485830i	0.745276	+	0.666756i	$0.232318\pi$
$564$	25.6209	+	2.56383i	0.0454272	+	0.00454580i
$565$	−269.429	−	98.0640i	−0.476865	−	0.173565i
$566$	−661.749	+	351.509i	−1.16917	+	0.621040i
$567$	−169.007	+	336.485i	−0.298071	+	0.593448i
$568$	−0.0634033	+	0.596156i	−0.000111625	+	0.00104957i
$569$	−519.027	−	188.910i	−0.912174	−	0.332004i	−0.157053	−	0.987590i	$-0.550199\pi$
$569$	−519.027	−	188.910i	−0.912174	−	0.332004i	−0.755120	+	0.655586i	$0.772422\pi$
$570$	−294.135	+	441.189i	−0.516026	+	0.774016i
$571$	114.533	−	136.496i	0.200584	−	0.239046i	−0.656371	−	0.754439i	$-0.727909\pi$
$571$	114.533	−	136.496i	0.200584	−	0.239046i	0.856954	+	0.515392i	$0.172354\pi$
$572$	128.076	−	132.408i	0.223909	−	0.231483i
$573$	−35.5724	−	242.868i	−0.0620809	−	0.423853i
$574$	−15.8545	+	39.1948i	−0.0276211	+	0.0682837i
$575$	301.345	−	173.982i	0.524078	−	0.302577i
$576$	144.452	+	557.593i	0.250784	+	0.968043i
$577$	−112.675	+	195.160i	−0.195278	+	0.338231i	−0.946992	−	0.321258i	$-0.895894\pi$
$577$	−112.675	+	195.160i	−0.195278	+	0.338231i	0.751714	+	0.659490i	$0.229228\pi$
$578$	220.548	−	172.165i	0.381570	−	0.297862i
$579$	−903.158	−	186.497i	−1.55986	−	0.322102i
$580$	19.0362	−	76.0830i	0.0328210	−	0.131178i
$581$	415.457	−	151.214i	0.715073	−	0.260265i
$582$	267.643	−	280.162i	0.459868	−	0.481378i
$583$	−81.0648	+	14.2939i	−0.139048	+	0.0245178i
$584$	−566.300	+	777.423i	−0.969691	+	1.33120i
$585$	−459.740	−	198.324i	−0.785881	−	0.339015i
$586$	381.813	−	610.469i	0.651558	−	1.04176i
$587$	−574.331	−	684.461i	−0.978418	−	1.16603i	−0.986115	−	0.166062i	$-0.946895\pi$
$587$	−574.331	−	684.461i	−0.978418	−	1.16603i	0.00769749	−	0.999970i	$-0.497550\pi$
$588$	−185.149	−	271.565i	−0.314879	−	0.461846i
$589$	171.082	−	970.253i	0.290461	−	1.64729i
$590$	−691.370	−	147.253i	−1.17181	−	0.249581i
$591$	−37.3394	−	23.0318i	−0.0631800	−	0.0389709i
$592$	24.4460	+	734.739i	0.0412939	+	1.24111i
$593$	−272.894			−0.460192			−0.230096	−	0.973168i	$-0.573904\pi$
$593$	−272.894			−0.460192			−0.230096	+	0.973168i	$0.573904\pi$
$594$	−136.021	+	31.3396i	−0.228992	+	0.0527603i
$595$			300.617i			0.505239i
$596$	173.974	−	126.181i	0.291902	−	0.211712i
$597$	33.3092	+	0.969544i	0.0557944	+	0.00162403i
$598$	−795.222	−	169.372i	−1.32980	−	0.283231i
$599$	−104.010	−	18.3398i	−0.173639	−	0.0306173i	0.0861523	−	0.996282i	$-0.472543\pi$
$599$	−104.010	−	18.3398i	−0.173639	−	0.0306173i	−0.259792	+	0.965665i	$0.583654\pi$
$600$	195.364	+	309.490i	0.325607	+	0.515817i
$601$	60.5640	−	50.8193i	0.100772	−	0.0845578i	−0.591010	−	0.806665i	$-0.701270\pi$
$601$	60.5640	−	50.8193i	0.100772	−	0.0845578i	0.691782	+	0.722107i	$0.256826\pi$
$602$	−63.5388	+	101.590i	−0.105546	+	0.168755i
$603$	277.995	+	65.8922i	0.461020	+	0.109274i
$604$	179.398	−	87.3156i	0.297017	−	0.144562i
$605$	−61.9861	−	351.540i	−0.102456	−	0.581059i
$606$	−736.411	−	179.393i	−1.21520	−	0.296028i
$607$	290.469	+	798.058i	0.478533	+	1.31476i	0.910739	+	0.412983i	$0.135513\pi$
$607$	290.469	+	798.058i	0.478533	+	1.31476i	−0.432206	+	0.901775i	$0.642265\pi$
$608$	−850.412	−	311.509i	−1.39870	−	0.512350i
$609$	65.4166	+	58.2170i	0.107416	+	0.0955945i
$610$	−406.918	+	317.650i	−0.667079	+	0.520737i
$611$	−33.1077	−	19.1147i	−0.0541860	−	0.0312843i
$612$	−504.821	−	548.637i	−0.824871	−	0.896466i
$613$	481.100	+	833.290i	0.784829	+	1.35936i	0.929101	+	0.369825i	$0.120583\pi$
$613$	481.100	+	833.290i	0.784829	+	1.35936i	−0.144272	+	0.989538i	$0.546084\pi$
$614$	22.4698	−	55.5488i	0.0365957	−	0.0904703i
$615$	26.4214	+	33.4160i	0.0429616	+	0.0543349i
$616$	−26.6116	+	92.3748i	−0.0432006	+	0.149959i
$617$	635.302	+	533.081i	1.02966	+	0.863989i	0.990811	−	0.135256i	$-0.0431857\pi$
$617$	635.302	+	533.081i	1.02966	+	0.863989i	0.0388514	+	0.999245i	$0.487630\pi$
$618$	417.811	+	845.037i	0.676070	+	1.36737i
$619$	126.739	−	348.213i	0.204748	−	0.562541i	−0.794236	−	0.607610i	$-0.792129\pi$
$619$	126.739	−	348.213i	0.204748	−	0.562541i	0.998984	+	0.0450690i	$0.0143508\pi$
$620$	360.259	+	243.430i	0.581063	+	0.392628i
$621$	435.619	+	435.646i	0.701479	+	0.701523i
$622$	−467.909	+	248.544i	−0.752265	+	0.399589i
$623$	188.895	−	518.985i	0.303202	−	0.833041i
$624$	144.997	−	842.807i	0.232367	−	1.35065i
$625$	−8.58152	−	7.20075i	−0.0137304	−	0.0115212i
$626$	264.156	−	85.7092i	0.421974	−	0.136916i
$627$	81.0339	−	203.968i	0.129241	−	0.325308i
$628$	−75.0119	−	719.389i	−0.119446	−	1.14552i
$629$	−475.772	−	824.061i	−0.756394	−	1.31011i
$630$	260.426	−	21.1450i	0.413375	−	0.0335636i
$631$	−153.085	−	88.3837i	−0.242607	−	0.140069i	0.373767	−	0.927523i	$-0.378066\pi$
$631$	−153.085	−	88.3837i	−0.242607	−	0.140069i	−0.616374	+	0.787453i	$0.711399\pi$
$632$	2.74913	−	0.188826i	0.00434990	−	0.000298775i
$633$	657.923	−	218.004i	1.03937	−	0.344399i
$634$	−290.815	−	262.068i	−0.458699	−	0.413357i
$635$	227.909	+	626.174i	0.358911	+	0.986101i
$636$	−273.558	+	266.820i	−0.430123	+	0.419528i
$637$	84.7379	+	480.573i	0.133027	+	0.754431i
$638$	−1.14628	+	32.4421i	−0.00179668	+	0.0508497i
$639$	−0.602724	+	0.302684i	−0.000943230	+	0.000473684i
$640$	278.472	−	286.708i	0.435113	−	0.447981i
$641$	−603.967	+	506.789i	−0.942227	+	0.790622i	−0.977971	−	0.208739i	$-0.933064\pi$
$641$	−603.967	+	506.789i	−0.942227	+	0.790622i	0.0357447	+	0.999361i	$0.488620\pi$
$642$	655.319	−	481.541i	1.02075	−	0.750063i
$643$	−887.935	−	156.567i	−1.38093	−	0.243494i	−0.566643	−	0.823963i	$-0.691758\pi$
$643$	−887.935	−	156.567i	−1.38093	−	0.243494i	−0.814282	+	0.580469i	$0.802869\pi$
$644$	407.949	−	116.614i	0.633461	−	0.181078i
$645$	57.2970	+	106.267i	0.0888325	+	0.164754i
$646$	1160.92	−	162.669i	1.79709	−	0.251810i
$647$			609.723i			0.942385i	0.882030	+	0.471193i	$0.156176\pi$
$647$			609.723i			0.942385i	−0.882030	+	0.471193i	$0.843824\pi$
$648$	−439.778	+	475.919i	−0.678670	+	0.734443i
$649$	292.584			0.450823
$650$	−75.4039	−	538.135i	−0.116006	−	0.827900i
$651$	−427.317	+	230.402i	−0.656401	+	0.353919i
$652$	9.80331	+	34.2948i	0.0150358	+	0.0525994i
$653$	100.348	−	569.103i	0.153673	−	0.871521i	−0.806317	−	0.591484i	$-0.798542\pi$
$653$	100.348	−	569.103i	0.153673	−	0.871521i	0.959989	−	0.280037i	$-0.0903467\pi$
$654$	68.9176	+	93.7886i	0.105379	+	0.143408i
$655$	5.23885	+	6.24342i	0.00799824	+	0.00953193i
$656$	−44.8901	+	57.2621i	−0.0684301	+	0.0872897i
$657$	−1080.21	−	62.9372i	−1.64415	−	0.0957949i
$658$	19.9373	+	0.704447i	0.0302999	+	0.00107059i
$659$	−649.326	+	114.494i	−0.985320	+	0.173739i	−0.643018	−	0.765851i	$-0.722318\pi$
$659$	−649.326	+	114.494i	−0.985320	+	0.173739i	−0.342302	+	0.939590i	$0.611207\pi$
$660$	67.6295	+	69.3375i	0.102469	+	0.105057i
$661$	270.159	−	98.3300i	0.408713	−	0.148759i	−0.129478	−	0.991582i	$-0.541330\pi$
$661$	270.159	−	98.3300i	0.408713	−	0.148759i	0.538191	+	0.842823i	$0.319108\pi$
$662$	15.7109	−	17.4343i	0.0237325	−	0.0263358i
$663$	348.166	+	1050.74i	0.525137	+	1.58483i
$664$	759.063	−	52.1366i	1.14317	−	0.0785190i
$665$	−205.413	+	355.786i	−0.308892	+	0.535017i
$666$	−680.422	+	470.126i	−1.02165	+	0.705895i
$667$	124.081	−	71.6384i	0.186029	−	0.107404i
$668$	1151.56	−	120.075i	1.72389	−	0.179753i
$669$	66.8247	+	26.5486i	0.0998875	+	0.0396839i
$670$	−61.1835	−	188.568i	−0.0913186	−	0.281444i
$671$	137.344	−	163.680i	0.204686	−	0.243935i
$672$	139.496	+	423.912i	0.207584	+	0.630822i
$673$	615.335	+	223.963i	0.914316	+	0.332784i	0.755975	−	0.654601i	$-0.227163\pi$
$673$	615.335	+	223.963i	0.914316	+	0.332784i	0.158341	+	0.987384i	$0.449385\pi$
$674$	85.9093	+	161.733i	0.127462	+	0.239959i
$675$	−174.022	+	373.160i	−0.257810	+	0.552830i
$676$	−332.399	+	491.928i	−0.491715	+	0.727704i
$677$	−350.399	−	127.535i	−0.517576	−	0.188382i	0.0700062	−	0.997547i	$-0.477698\pi$
$677$	−350.399	−	127.535i	−0.517576	−	0.188382i	−0.587583	+	0.809164i	$0.699920\pi$
$678$	493.868	−	244.183i	0.728418	−	0.360151i
$679$	192.962	−	229.963i	0.284186	−	0.338679i
$680$	−143.212	+	497.120i	−0.210605	+	0.731058i
$681$	−689.923	+	545.508i	−1.01310	+	0.801040i
$682$	−166.833	−	67.4849i	−0.244623	−	0.0989515i
$683$	−403.114	+	232.738i	−0.590211	+	0.340758i	−0.765181	−	0.643815i	$-0.777350\pi$
$683$	−403.114	+	232.738i	−0.590211	+	0.340758i	0.174970	+	0.984574i	$0.444017\pi$
$684$	−222.579	−	994.269i	−0.325408	−	1.45361i
$685$	−298.340	+	516.741i	−0.435533	+	0.754366i
$686$	−437.027	−	559.844i	−0.637066	−	0.816099i
$687$	499.382	−	561.140i	0.726903	−	0.816797i
$688$	−153.468	+	137.727i	−0.223065	+	0.200184i
$689$	533.141	−	194.047i	0.773790	−	0.281636i
$690$	101.181	−	415.348i	0.146639	−	0.601954i
$691$	822.564	−	145.040i	1.19040	−	0.209899i	0.456853	−	0.889542i	$-0.348976\pi$
$691$	822.564	−	145.040i	1.19040	−	0.209899i	0.733543	+	0.679643i	$0.237865\pi$
$692$	561.142	+	1152.92i	0.810899	+	1.66607i
$693$	−103.605	+	31.0151i	−0.149503	+	0.0447548i
$694$	−607.760	−	380.119i	−0.875735	−	0.547722i
$695$	166.944	+	198.956i	0.240207	+	0.286268i
$696$	80.4428	+	127.435i	0.115579	+	0.183097i
$697$	16.3539	−	92.7473i	0.0234632	−	0.133066i
$698$	188.217	−	883.701i	0.269652	−	1.26605i
$699$	−7.73867	+	265.867i	−0.0110711	+	0.380353i
$700$	166.486	+	229.546i	0.237838	+	0.327923i
$701$	−318.239			−0.453978			−0.226989	−	0.973897i	$-0.572888\pi$
$701$	−318.239			−0.453978			−0.226989	+	0.973897i	$0.572888\pi$
$702$	885.773	−	375.526i	1.26178	−	0.534937i
$703$		−	1300.39i		−	1.84977i
$704$	−88.0131	+	140.079i	−0.125019	+	0.198976i
$705$	10.5525	−	17.1077i	0.0149680	−	0.0242663i
$706$	−77.3002	+	362.934i	−0.109490	+	0.514070i
$707$	−578.321	−	101.974i	−0.817994	−	0.144234i
$708$	1122.26	−	765.139i	1.58511	−	1.08071i
$709$	−153.512	+	128.812i	−0.216519	+	0.181681i	−0.744596	−	0.667515i	$-0.767358\pi$
$709$	−153.512	+	128.812i	−0.216519	+	0.181681i	0.528077	+	0.849197i	$0.322913\pi$
$710$	0.396789	+	0.248168i	0.000558858	+	0.000349533i
$711$	1.85118	+	2.48667i	0.00260363	+	0.00349743i
$712$	559.608	−	768.237i	0.785966	−	1.07898i
$713$	137.929	+	782.233i	0.193449	+	1.09710i
$714$	−417.678	−	399.015i	−0.584984	−	0.558844i
$715$	−49.1843	−	135.133i	−0.0687892	−	0.188997i
$716$	729.133	+	182.431i	1.01834	+	0.254792i
$717$	−182.667	+	884.610i	−0.254765	+	1.23377i
$718$	27.2096	+	34.8563i	0.0378964	+	0.0485464i
$719$	95.7306	+	55.2701i	0.133144	+	0.0768708i	0.565093	−	0.825027i	$-0.308840\pi$
$719$	95.7306	+	55.2701i	0.133144	+	0.0768708i	−0.431948	+	0.901898i	$0.642174\pi$
$720$	440.730	+	89.0981i	0.612125	+	0.123747i
$721$	365.188	+	632.523i	0.506501	+	0.877286i
$722$	815.810	+	330.000i	1.12993	+	0.457063i
$723$	−928.423	+	135.984i	−1.28413	+	0.188083i
$724$	503.709	+	487.228i	0.695731	+	0.672968i
$725$	73.3535	+	61.5509i	0.101177	+	0.0848978i
$726$	570.706	+	380.482i	0.786096	+	0.524080i
$727$	258.380	−	709.893i	0.355406	−	0.976469i	−0.625198	−	0.780466i	$-0.714982\pi$
$727$	258.380	−	709.893i	0.355406	−	0.976469i	0.980603	−	0.196002i	$-0.0627961\pi$
$728$	70.0730	−	658.869i	0.0962541	−	0.905040i
$729$	−717.917	−	126.634i	−0.984797	−	0.173709i
$730$	352.218	+	663.084i	0.482490	+	0.908334i
$731$	91.2871	−	250.809i	0.124880	−	0.343104i
$732$	98.7665	−	986.995i	0.134927	−	1.34835i
$733$	−217.881	−	182.824i	−0.297245	−	0.249419i	0.481951	−	0.876198i	$-0.339928\pi$
$733$	−217.881	−	182.824i	−0.297245	−	0.249419i	−0.779197	+	0.626780i	$0.784373\pi$
$734$	−40.2338	−	124.001i	−0.0548144	−	0.168938i
$735$	−253.868	+	37.1834i	−0.345398	+	0.0505897i
$736$	730.164	+	1.50337i	0.992070	+	0.00204262i
$737$	41.0279	+	71.0624i	0.0556688	+	0.0964212i
$738$	−81.4977	−	7.64369i	−0.110431	−	0.0103573i
$739$	336.529	+	194.295i	0.455385	+	0.262916i	0.710102	−	0.704099i	$-0.248649\pi$
$739$	336.529	+	194.295i	0.455385	+	0.262916i	−0.254717	+	0.967016i	$0.581982\pi$
$740$	524.074	+	233.850i	0.708208	+	0.316013i
$741$	−305.916	+	1481.48i	−0.412842	+	1.99929i
$742$	−198.201	+	219.942i	−0.267117	+	0.296418i
$743$	−53.3057	−	146.456i	−0.0717439	−	0.197115i	0.898638	−	0.438691i	$-0.144558\pi$
$743$	−53.3057	−	146.456i	−0.0717439	−	0.197115i	−0.970382	+	0.241576i	$0.922336\pi$
$744$	−816.399	+	177.436i	−1.09731	+	0.238489i
$745$	−29.1330	−	165.221i	−0.0391047	−	0.221774i
$746$	−160.083	−	5.65622i	−0.214588	−	0.00758206i
$747$	511.128	+	686.594i	0.684242	+	0.919136i
$748$	15.1130	−	213.598i	0.0202045	−	0.285558i
$749$	482.659	−	404.999i	0.644405	−	0.540720i
$750$	749.522	−	82.8691i	0.999362	−	0.110492i
$751$	565.429	+	99.7004i	0.752901	+	0.132757i	0.536911	−	0.843639i	$-0.319591\pi$
$751$	565.429	+	99.7004i	0.752901	+	0.132757i	0.215990	+	0.976396i	$0.430702\pi$
$752$	32.6340	+	10.6629i	0.0433963	+	0.0141794i
$753$	326.374	−	529.121i	0.433432	−	0.702684i
$754$	−31.0482	−	221.582i	−0.0411780	−	0.293875i
$755$		−	155.751i		−	0.206293i
$756$	−316.289	+	389.903i	−0.418372	+	0.515744i
$757$	759.370			1.00313			0.501566	−	0.865120i	$-0.332758\pi$
$757$	759.370			1.00313			0.501566	+	0.865120i	$0.332758\pi$
$758$	−214.247	+	30.0205i	−0.282648	+	0.0396049i
$759$	−5.14821	+	176.870i	−0.00678289	+	0.233030i
$760$	−509.178	+	490.493i	−0.669971	+	0.645386i
$761$	−155.466	+	881.691i	−0.204292	+	1.15860i	0.694259	+	0.719725i	$0.255732\pi$
$761$	−155.466	+	881.691i	−0.204292	+	1.15860i	−0.898550	+	0.438870i	$0.855379\pi$
$762$	−1172.51	−	514.475i	−1.53873	−	0.675164i
$763$	57.9631	+	69.0777i	0.0759674	+	0.0905344i
$764$	23.0987	−	326.463i	0.0302339	−	0.427307i
$765$	−557.557	+	166.909i	−0.728833	+	0.218182i
$766$	−22.5182	+	637.313i	−0.0293972	+	0.832002i
$767$	−1985.99	+	350.184i	−2.58930	+	0.456564i
$768$	28.7316	+	767.462i	0.0374110	+	0.999300i
$769$	525.038	−	191.098i	0.682755	−	0.248502i	0.0227249	−	0.999742i	$-0.492766\pi$
$769$	525.038	−	191.098i	0.682755	−	0.248502i	0.660030	+	0.751239i	$0.270544\pi$
$770$	55.7477	+	50.2370i	0.0723996	+	0.0652429i
$771$	738.970	−	830.356i	0.958456	−	1.07699i
$772$	−1122.90	−	501.055i	−1.45453	−	0.649035i
$773$	452.627	−	783.973i	0.585546	−	1.01420i	−0.409261	−	0.912417i	$-0.634213\pi$
$773$	452.627	−	783.973i	0.585546	−	1.01420i	0.994807	−	0.101779i	$-0.0324533\pi$
$774$	−223.698	−	61.4408i	−0.289016	−	0.0793809i
$775$	−459.734	+	265.427i	−0.593205	+	0.342487i
$776$	428.646	−	288.356i	0.552379	−	0.371593i
$777$	−502.638	+	397.426i	−0.646895	+	0.511488i
$778$	−249.306	+	80.8908i	−0.320444	+	0.103973i
$779$	82.7298	−	98.5936i	0.106200	−	0.126564i
$780$	−542.041	−	389.704i	−0.694925	−	0.499620i
$781$	−0.182030	−	0.0662536i	−0.000233073	−	8.48318e-5i
$782$	−834.654	+	443.353i	−1.06733	+	0.566947i
$783$	−71.6549	+	153.652i	−0.0915132	+	0.196235i
$784$	−163.496	−	406.594i	−0.208541	−	0.518615i
$785$	−530.574	−	193.113i	−0.675891	−	0.246004i
$786$	−15.6282	−	1.00813i	−0.0198832	−	0.00128260i
$787$	858.505	−	1023.13i	1.09086	−	1.30003i	0.140088	−	0.990139i	$-0.455262\pi$
$787$	858.505	−	1023.13i	1.09086	−	1.30003i	0.950771	−	0.309895i	$-0.100294\pi$
$788$	−42.0444	−	40.6688i	−0.0533558	−	0.0516101i
$789$	515.426	+	204.772i	0.653265	+	0.259533i
$790$	0.806648	−	1.99416i	0.00102107	−	0.00252425i
$791$	369.667	−	213.428i	0.467342	−	0.269820i
$792$	−186.103	+	1.93174i	−0.234979	+	0.00243906i
$793$	−736.357	+	1275.41i	−0.928571	+	1.60833i
$794$	−566.907	+	442.541i	−0.713989	+	0.557356i
$795$	93.8283	+	283.168i	0.118023	+	0.356186i
$796$	43.1025	+	10.7844i	0.0541488	+	0.0135482i
$797$	−188.861	+	68.7400i	−0.236965	+	0.0862484i	−0.457773	−	0.889069i	$-0.651353\pi$
$797$	−188.861	+	68.7400i	−0.236965	+	0.0862484i	0.220808	+	0.975317i	$0.429131\pi$
$798$	−221.682	−	757.643i	−0.277797	−	0.949427i
$799$	−43.7627	+	7.71654i	−0.0547718	+	0.00965774i
$800$	165.958	+	458.905i	0.207448	+	0.573631i
$801$	1067.44	+	62.1935i	1.33264	+	0.0776449i
$802$	−359.537	+	574.853i	−0.448301	+	0.716775i
$803$	−199.762	−	238.067i	−0.248770	−	0.296472i
$804$	343.206	+	165.280i	0.426873	+	0.205573i
$805$	57.5149	−	326.183i	0.0714471	−	0.405197i
$806$	1213.20	+	258.395i	1.50521	+	0.320589i
$807$	−1309.91	+	706.281i	−1.62319	+	0.875193i
$808$	−907.769	−	444.137i	−1.12348	−	0.549675i
$809$	177.768			0.219738			0.109869	−	0.993946i	$-0.464957\pi$
$809$	177.768			0.219738			0.109869	+	0.993946i	$0.464957\pi$
$810$	183.812	+	471.274i	0.226928	+	0.581820i
$811$			928.342i			1.14469i	0.820014	+	0.572344i	$0.193966\pi$
$811$			928.342i			1.14469i	−0.820014	+	0.572344i	$0.806034\pi$
$812$	68.5522	+	94.5176i	0.0844239	+	0.116401i
$813$	451.040	+	836.526i	0.554785	+	1.02894i
$814$	−232.324	−	49.4821i	−0.285411	−	0.0607888i
$815$	27.4210	+	4.83507i	0.0336454	+	0.00593260i
$816$	−500.612	−	858.814i	−0.613495	−	1.05247i
$817$	279.419	−	234.461i	0.342006	−	0.286977i
$818$	−391.986	+	626.734i	−0.479200	+	0.766179i
$819$	666.128	−	334.525i	0.813343	−	0.408455i
$820$	24.8571	+	51.0714i	0.0303136	+	0.0622822i
$821$	−45.7241	−	259.314i	−0.0556931	−	0.315851i	0.944216	−	0.329327i	$-0.106822\pi$
$821$	−45.7241	−	259.314i	−0.0556931	−	0.315851i	−0.999909	+	0.0134752i	$0.995711\pi$
$822$	−321.968	−	1100.39i	−0.391689	−	1.33868i
$823$	310.142	+	852.108i	0.376843	+	1.03537i	0.972657	+	0.232246i	$0.0746073\pi$
$823$	310.142	+	852.108i	0.376843	+	1.03537i	−0.595814	+	0.803122i	$0.703170\pi$
$824$	302.568	+	1219.95i	0.367194	+	1.48052i
$825$	−112.255	+	37.1961i	−0.136067	+	0.0450862i
$826$	829.542	−	647.559i	1.00429	−	0.783970i
$827$	−1041.84	−	601.507i	−1.25978	−	0.727337i	−0.286751	−	0.958005i	$-0.592575\pi$
$827$	−1041.84	−	601.507i	−1.25978	−	0.727337i	−0.973032	+	0.230668i	$0.925909\pi$
$828$	442.787	+	691.879i	0.534767	+	0.835603i
$829$	−354.368	−	613.784i	−0.427465	−	0.740390i	0.569183	−	0.822211i	$-0.307260\pi$
$829$	−354.368	−	613.784i	−0.427465	−	0.740390i	−0.996647	+	0.0818209i	$0.973926\pi$
$830$	222.723	−	550.607i	0.268342	−	0.663382i
$831$	330.526	−	831.958i	0.397744	−	1.00115i
$832$	429.757	−	1056.16i	0.516535	−	1.26943i
$833$	434.526	+	364.611i	0.521640	+	0.437708i
$834$	−498.017	−	32.1255i	−0.597143	−	0.0385197i
$835$	309.125	−	849.313i	0.370209	−	1.01714i
$836$	163.839	−	242.470i	0.195979	−	0.290036i
$837$	−664.583	−	664.624i	−0.794005	−	0.794055i
$838$	−108.868	+	57.8284i	−0.129914	+	0.0690077i
$839$	−384.167	+	1055.49i	−0.457887	+	1.25803i	0.469168	+	0.883109i	$0.344554\pi$
$839$	−384.167	+	1055.49i	−0.457887	+	1.25803i	−0.927055	+	0.374925i	$0.877669\pi$
$840$	345.205	+	46.9070i	0.410959	+	0.0558416i
$841$	−614.039	−	515.240i	−0.730130	−	0.612652i
$842$	53.2725	−	17.2850i	0.0632690	−	0.0205285i
$843$	−307.932	−	389.452i	−0.365281	−	0.461983i
$844$	919.151	−	95.8414i	1.08904	−	0.113556i
$845$	231.732	+	401.372i	0.274240	+	0.474997i
$846$	9.76308	+	37.3690i	0.0115403	+	0.0441714i
$847$	460.232	+	265.715i	0.543367	+	0.313713i
$848$	−432.536	+	269.289i	−0.510066	+	0.317557i
$849$	−839.626	−	747.219i	−0.988959	−	0.880117i
$850$	−469.224	−	422.841i	−0.552028	−	0.497460i
$851$	358.572	+	985.168i	0.421354	+	1.15766i
$852$	−0.871470	+	0.221901i	−0.00102285	+	0.000260447i
$853$	−94.3663	−	535.178i	−0.110629	−	0.627407i	−0.988822	−	0.149101i	$-0.952362\pi$
$853$	−94.3663	−	535.178i	−0.110629	−	0.627407i	0.878193	−	0.478306i	$-0.158749\pi$
$854$	27.1374	−	768.046i	0.0317768	−	0.899351i
$855$	−773.929	−	183.442i	−0.905181	−	0.214551i
$856$	991.094	−	439.797i	1.15782	−	0.513782i
$857$	1203.43	−	1009.80i	1.40424	−	1.17830i	0.445057	−	0.895502i	$-0.353183\pi$
$857$	1203.43	−	1009.80i	1.40424	−	1.17830i	0.959181	−	0.282794i	$-0.0912612\pi$
$858$	253.037	+	111.027i	0.294914	+	0.129402i
$859$	−486.259	−	85.7406i	−0.566076	−	0.0998145i	−0.116716	−	0.993165i	$-0.537237\pi$
$859$	−486.259	−	85.7406i	−0.566076	−	0.0998145i	−0.449360	+	0.893351i	$0.648348\pi$
$860$	44.2425	+	154.773i	0.0514448	+	0.179968i
$861$	−63.3932	−	1.84521i	−0.0736274	−	0.00214310i
$862$	−802.685	+	112.473i	−0.931189	+	0.130479i
$863$		−	237.241i		−	0.274902i	−0.990509	−	0.137451i	$-0.956109\pi$
$863$		−	237.241i		−	0.274902i	0.990509	−	0.137451i	$-0.0438910\pi$
$864$	−708.782	+	494.090i	−0.820349	+	0.571863i
$865$	1000.95			1.15717
$866$	57.8178	+	412.628i	0.0667642	+	0.476476i
$867$	357.197	+	220.328i	0.411992	+	0.254127i
$868$	−622.370	+	177.907i	−0.717016	+	0.204962i
$869$	−0.154612	+	0.876849i	−0.000177920	+	0.00100903i
$870$	116.930	−	12.9281i	0.134402	−	0.0148599i
$871$	−363.540	−	433.250i	−0.417383	−	0.497417i
$872$	62.9433	+	141.844i	0.0721827	+	0.162666i
$873$	533.651	+	230.208i	0.611284	+	0.263697i
$874$	−1290.77	−	45.6070i	−1.47686	−	0.0521819i
$875$	575.378	−	101.455i	0.657575	−	0.115948i
$876$	−1388.79	−	390.750i	−1.58538	−	0.446062i
$877$	−657.052	+	239.147i	−0.749204	+	0.272688i	−0.688271	−	0.725454i	$-0.741630\pi$
$877$	−657.052	+	239.147i	−0.749204	+	0.272688i	−0.0609331	+	0.998142i	$0.519408\pi$
$878$	−567.986	+	630.290i	−0.646909	+	0.717871i
$879$	1057.74	+	218.417i	1.20335	+	0.248484i
$880$	68.2553	+	109.633i	0.0775628	+	0.124583i
$881$	−201.312	+	348.683i	−0.228504	+	0.395781i	−0.957365	−	0.288881i	$-0.906717\pi$
$881$	−201.312	+	348.683i	−0.228504	+	0.395781i	0.728861	+	0.684662i	$0.240050\pi$
$882$	285.300	−	402.078i	0.323469	−	0.455871i
$883$	−70.5932	+	40.7570i	−0.0799470	+	0.0461574i	−0.539441	−	0.842024i	$-0.681364\pi$
$883$	−70.5932	+	40.7570i	−0.0799470	+	0.0461574i	0.459494	+	0.888181i	$0.348031\pi$
$884$	153.064	+	1467.94i	0.173150	+	1.66056i
$885$	−153.663	−	1049.12i	−0.173630	−	1.18545i
$886$	384.583	+	1185.28i	0.434066	+	1.33779i
$887$	−289.982	+	345.587i	−0.326924	+	0.389613i	−0.904323	−	0.426849i	$-0.859623\pi$
$887$	−289.982	+	345.587i	−0.326924	+	0.389613i	0.577399	+	0.816462i	$0.304068\pi$
$888$	−1020.52	+	417.756i	−1.14924	+	0.470446i
$889$	−932.218	−	339.300i	−1.04861	−	0.381664i
$890$	−348.056	−	655.249i	−0.391074	−	0.736234i
$891$	−115.048	−	174.937i	−0.129122	−	0.196338i
$892$	79.4387	+	53.6773i	0.0890569	+	0.0601764i
$893$	−57.0667	−	20.7706i	−0.0639045	−	0.0232593i
$894$	268.228	+	178.824i	0.300031	+	0.200027i
$895$	377.145	−	449.463i	0.421391	−	0.502194i
$896$	60.4918	+	591.950i	0.0675131	+	0.660658i
$897$	−176.745	−	1206.71i	−0.197040	−	1.34528i
$898$	−53.7845	−	21.7561i	−0.0598936	−	0.0242273i
$899$	−189.299	+	109.292i	−0.210567	+	0.121571i
$900$	−333.304	+	436.232i	−0.370338	+	0.484703i
$901$	329.747	−	571.138i	0.365979	−	0.633894i
$902$	−14.4665	−	18.5320i	−0.0160382	−	0.0205454i
$903$	−176.022	−	36.3475i	−0.194930	−	0.0402520i
$904$	712.980	−	176.831i	0.788695	−	0.195609i
$905$	514.074	−	187.108i	0.568037	−	0.206749i
$906$	216.401	+	206.731i	0.238854	+	0.228180i
$907$	359.604	−	63.4079i	0.396477	−	0.0699095i	0.0281447	−	0.999604i	$-0.491040\pi$
$907$	359.604	−	63.4079i	0.396477	−	0.0699095i	0.368332	+	0.929694i	$0.379929\pi$
$908$	−1054.44	+	513.212i	−1.16128	+	0.565212i
$909$	−131.965	−	1129.23i	−0.145176	−	1.24228i
$910$	−438.529	−	274.275i	−0.481900	−	0.301401i
$911$	786.779	+	937.647i	0.863644	+	1.02925i	0.999259	+	0.0384887i	$0.0122544\pi$
$911$	786.779	+	937.647i	0.863644	+	1.02925i	−0.135616	+	0.990762i	$0.543301\pi$
$912$	−5.65177	−	1358.49i	−0.00619711	−	1.48958i
$913$	−42.6899	+	242.107i	−0.0467579	+	0.265177i
$914$	175.891	−	825.830i	0.192441	−	0.903534i
$915$	−659.042	−	406.513i	−0.720265	−	0.444276i
$916$	810.766	−	588.037i	0.885116	−	0.641961i
$917$	−12.1336			−0.0132319
$918$	508.151	−	996.212i	0.553542	−	1.08520i
$919$		−	733.236i		−	0.797863i	−0.916981	−	0.398931i	$-0.869381\pi$
$919$		−	733.236i		−	0.797863i	0.916981	−	0.398931i	$-0.130619\pi$
$920$	250.501	−	511.997i	0.272284	−	0.556519i
$921$	89.8438	+	2.61512i	0.0975503	+	0.00283943i
$922$	−11.9605	+	56.1559i	−0.0129723	+	0.0609066i
$923$	1.31488	+	0.231848i	0.00142457	+	0.000251190i
$924$	−143.794	+	10.7755i	−0.155621	+	0.0116618i
$925$	−536.747	+	450.384i	−0.580267	+	0.486902i
$926$	669.603	+	418.798i	0.723114	+	0.452266i
$927$	−970.386	+	1028.51i	−1.04680	+	1.10950i
$928$	68.3348	+	188.958i	0.0736366	+	0.203618i
$929$	34.2914	+	194.476i	0.0369122	+	0.209339i	0.997686	−	0.0679949i	$-0.0216602\pi$
$929$	34.2914	+	194.476i	0.0369122	+	0.209339i	−0.960773	+	0.277334i	$0.910549\pi$
$930$	−154.362	+	633.658i	−0.165981	+	0.681352i
$931$	265.130	+	728.438i	0.284779	+	0.782425i
$932$	−86.0783	+	344.034i	−0.0923587	+	0.369135i
$933$	−593.682	−	528.343i	−0.636315	−	0.566284i
$934$	376.269	+	482.011i	0.402857	+	0.516072i
$935$	−144.764	−	83.5793i	−0.154827	−	0.0893896i
$936$	1260.92	−	235.853i	1.34713	−	0.251980i
$937$	−822.848	−	1425.21i	−0.878173	−	1.52104i	−0.853344	−	0.521349i	$-0.825429\pi$
$937$	−822.848	−	1425.21i	−0.878173	−	1.52104i	−0.0248295	−	0.999692i	$-0.507904\pi$
$938$	273.601	+	110.673i	0.291686	+	0.117989i
$939$	258.368	+	326.766i	0.275152	+	0.347994i
$940$	18.6332	−	19.2634i	0.0198225	−	0.0204930i
$941$	−49.9757	−	41.9346i	−0.0531092	−	0.0445639i	0.615847	−	0.787866i	$-0.288814\pi$
$941$	−49.9757	−	41.9346i	−0.0531092	−	0.0445639i	−0.668956	+	0.743302i	$0.733259\pi$
$942$	972.552	−	480.858i	1.03243	−	0.510465i
$943$	−35.4893	+	97.5061i	−0.0376345	+	0.103400i
$944$	1680.27	−	675.657i	1.77995	−	0.715739i
$945$	165.624	+	355.210i	0.175263	+	0.375883i
$946$	−31.2558	−	58.8421i	−0.0330400	−	0.0622009i
$947$	578.159	−	1588.48i	0.610517	−	1.67738i	−0.118558	−	0.992947i	$-0.537827\pi$
$947$	578.159	−	1588.48i	0.610517	−	1.67738i	0.729075	−	0.684434i	$-0.239951\pi$
$948$	1.70001	+	3.76764i	0.00179326	+	0.00397430i
$949$	1640.87	+	1376.86i	1.72906	+	1.45085i
$950$	−266.406	−	821.063i	−0.280427	−	0.864277i
$951$	216.808	−	545.723i	0.227979	−	0.573841i
$952$	−429.894	−	639.045i	−0.451569	−	0.671266i
$953$	−804.382	−	1393.23i	−0.844052	−	1.46194i	−0.886442	−	0.462841i	$-0.846830\pi$
$953$	−804.382	−	1393.23i	−0.844052	−	1.46194i	0.0423891	−	0.999101i	$-0.486503\pi$
$954$	−517.973	−	245.488i	−0.542949	−	0.257325i
$955$	−221.257	−	127.743i	−0.231683	−	0.133762i
$956$	−490.765	+	1099.84i	−0.513352	+	1.15046i
$957$	−46.2221	+	15.3158i	−0.0482990	+	0.0160040i
$958$	−121.733	+	135.086i	−0.127070	+	0.141009i
$959$	−303.820	−	834.738i	−0.316809	−	0.870426i
$960$	548.507	+	242.021i	0.571361	+	0.252105i
$961$	−43.5491	−	246.979i	−0.0453165	−	0.257002i
$962$	1636.19	+	57.8116i	1.70082	+	0.0600952i
$963$	1019.14	+	670.327i	1.05829	+	0.696082i
$964$	−1247.99	−	88.3005i	−1.29459	−	0.0915981i
$965$	−735.313	+	617.001i	−0.761982	+	0.639379i
$966$	376.859	+	512.860i	0.390123	+	0.530911i
$967$	1161.14	+	204.740i	1.20076	+	0.211727i	0.738028	−	0.674770i	$-0.235757\pi$
$967$	1161.14	+	204.740i	1.20076	+	0.211727i	0.462735	+	0.886497i	$0.346868\pi$
$968$	634.484	+	658.654i	0.655458	+	0.680427i
$969$	834.519	+	1547.75i	0.861216	+	1.59727i
$970$	−55.9619	−	399.383i	−0.0576927	−	0.411735i
$971$			796.242i			0.820023i	0.912080	+	0.410011i	$0.134475\pi$
$971$			796.242i			0.820023i	−0.912080	+	0.410011i	$0.865525\pi$
$972$	−898.766	−	370.141i	−0.924656	−	0.380804i
$973$	−386.657			−0.397386
$974$	−1378.85	+	193.206i	−1.41566	+	0.198364i
$975$	717.445	−	386.834i	0.735841	−	0.396752i
$976$	410.767	−	1257.16i	0.420867	−	1.28807i
$977$	232.161	−	1316.65i	0.237626	−	1.34765i	−0.599385	−	0.800461i	$-0.704588\pi$
$977$	232.161	−	1316.65i	0.237626	−	1.34765i	0.837012	−	0.547185i	$-0.184301\pi$
$978$	−43.1142	+	31.6812i	−0.0440841	+	0.0323938i
$979$	197.402	+	235.254i	0.201636	+	0.240300i
$980$	−341.248	−	24.1449i	−0.348213	−	0.0246376i
$981$	−95.9366	+	145.858i	−0.0977947	+	0.148683i
$982$	−8.63137	+	244.286i	−0.00878958	+	0.248764i
$983$	−613.490	+	108.175i	−0.624100	+	0.110046i	−0.476750	−	0.879039i	$-0.658185\pi$
$983$	−613.490	+	108.175i	−0.624100	+	0.110046i	−0.147350	+	0.989084i	$0.547074\pi$
$984$	−103.952	−	33.2513i	−0.105642	−	0.0337920i
$985$	−42.9095	+	15.6178i	−0.0435630	+	0.0158556i
$986$	−193.207	−	174.108i	−0.195950	−	0.176580i
$987$	9.41235	+	28.4058i	0.00953632	+	0.0287800i
$988$	−821.895	+	1841.92i	−0.831878	+	1.86429i
$989$	−147.036	+	254.674i	−0.148671	+	0.257506i
$990$	−62.2226	+	131.288i	−0.0628511	+	0.132614i
$991$	−513.695	+	296.582i	−0.518360	+	0.299275i	−0.736264	−	0.676695i	$-0.763412\pi$
$991$	−513.695	+	296.582i	−0.518360	+	0.299275i	0.217903	+	0.975970i	$0.430078\pi$
$992$	−1113.94	−	2.29354i	−1.12293	−	0.00231204i
$993$	32.7160	+	12.9976i	0.0329466	+	0.0130893i
$994$	−0.662731	+	0.215033i	−0.000666732	+	0.000216331i
$995$	22.2948	−	26.5699i	0.0224068	−	0.0267034i
$996$	469.390	+	1040.28i	0.471275	+	1.04446i
$997$	377.002	+	137.218i	0.378136	+	0.137630i	0.524094	−	0.851660i	$-0.324404\pi$
$997$	377.002	+	137.218i	0.378136	+	0.137630i	−0.145958	+	0.989291i	$0.546626\pi$
$998$	−437.707	+	232.502i	−0.438584	+	0.232968i
$999$	−1016.18	−	711.586i	−1.01720	−	0.712299i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	108.3.j.a.31.19	yes	204
3.2	odd	2		324.3.j.a.307.16		204
4.3	odd	2	inner	108.3.j.a.31.28	yes	204
12.11	even	2		324.3.j.a.307.7		204
27.7	even	9	inner	108.3.j.a.7.28	yes	204
27.20	odd	18		324.3.j.a.19.7		204
108.7	odd	18	inner	108.3.j.a.7.19	✓	204
108.47	even	18		324.3.j.a.19.16		204

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
108.3.j.a.7.19	✓	204	108.7	odd	18	inner
108.3.j.a.7.28	yes	204	27.7	even	9	inner
108.3.j.a.31.19	yes	204	1.1	even	1	trivial
108.3.j.a.31.28	yes	204	4.3	odd	2	inner
324.3.j.a.19.7		204	27.20	odd	18
324.3.j.a.19.16		204	108.47	even	18
324.3.j.a.307.7		204	12.11	even	2
324.3.j.a.307.16		204	3.2	odd	2

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 108 = 2^{2} \cdot 3^{3} \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	108.j (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.277531 + 1.98065i) q^{2} +(-2.64062 + 1.42377i) q^{3} +(-3.84595 + 1.09938i) q^{4} +(-0.542224 + 3.07510i) q^{5} +(-3.55285 - 4.83500i) q^{6} +(-2.98812 - 3.56110i) q^{7} +(-3.24486 - 7.31238i) q^{8} +(4.94574 - 7.51929i) q^{9} +O(q^{10})\)	\(q+(0.277531 + 1.98065i) q^{2} +(-2.64062 + 1.42377i) q^{3} +(-3.84595 + 1.09938i) q^{4} +(-0.542224 + 3.07510i) q^{5} +(-3.55285 - 4.83500i) q^{6} +(-2.98812 - 3.56110i) q^{7} +(-3.24486 - 7.31238i) q^{8} +(4.94574 - 7.51929i) q^{9} +(-6.24119 - 0.220520i) q^{10} +(2.54564 - 0.448865i) q^{11} +(8.59043 - 8.37882i) q^{12} +(-16.7420 + 6.09358i) q^{13} +(6.22401 - 6.90674i) q^{14} +(-2.94645 - 8.89218i) q^{15} +(13.5827 - 8.45635i) q^{16} +(-10.3549 + 17.9352i) q^{17} +(16.2657 + 7.70894i) q^{18} +(-24.5104 + 14.1511i) q^{19} +(-1.29535 - 12.4228i) q^{20} +(12.9607 + 5.14911i) q^{21} +(1.59554 + 4.91745i) q^{22} +(14.6669 - 17.4793i) q^{23} +(18.9796 + 14.6893i) q^{24} +(14.3301 + 5.21572i) q^{25} +(-16.7157 - 31.4689i) q^{26} +(-2.35404 + 26.8972i) q^{27} +(15.4072 + 10.4108i) q^{28} +(5.90052 + 2.14762i) q^{29} +(16.7946 - 8.30373i) q^{30} +(-22.3759 + 26.6666i) q^{31} +(20.5187 + 24.5557i) q^{32} +(-6.08298 + 4.80969i) q^{33} +(-38.3971 - 15.5318i) q^{34} +(12.5710 - 7.25787i) q^{35} +(-10.7545 + 34.3561i) q^{36} +(-22.9733 + 39.7909i) q^{37} +(-34.8307 - 44.6192i) q^{38} +(35.5333 - 39.9276i) q^{39} +(24.2458 - 6.01334i) q^{40} +(-4.27327 + 1.55534i) q^{41} +(-6.60160 + 27.0996i) q^{42} +(-12.6921 + 2.23796i) q^{43} +(-9.29693 + 4.52494i) q^{44} +(20.4409 + 19.2858i) q^{45} +(38.6910 + 24.1990i) q^{46} +(1.37925 + 1.64373i) q^{47} +(-23.8269 + 41.6687i) q^{48} +(4.75617 - 26.9736i) q^{49} +(-6.35348 + 29.8304i) q^{50} +(1.80765 - 62.1030i) q^{51} +(57.6897 - 41.8415i) q^{52} -31.8446 q^{53} +(-53.9272 + 2.80227i) q^{54} +8.07149i q^{55} +(-16.3441 + 33.4056i) q^{56} +(44.5747 - 72.2649i) q^{57} +(-2.61610 + 12.2829i) q^{58} +(111.470 + 19.6551i) q^{59} +(21.1078 + 30.9596i) q^{60} +(63.3215 - 53.1331i) q^{61} +(-59.0272 - 36.9181i) q^{62} +(-41.5554 + 4.85626i) q^{63} +(-42.9417 + 47.4553i) q^{64} +(-9.66050 - 54.7874i) q^{65} +(-11.2145 - 10.7134i) q^{66} +(10.8572 + 29.8298i) q^{67} +(20.1068 - 80.3619i) q^{68} +(-13.8431 + 67.0387i) q^{69} +(17.8641 + 22.8845i) q^{70} +(-0.0648998 - 0.0374699i) q^{71} +(-71.0321 - 11.7660i) q^{72} +(-60.1132 - 104.119i) q^{73} +(-85.1877 - 34.4589i) q^{74} +(-45.2662 + 6.63005i) q^{75} +(78.7084 - 81.3707i) q^{76} +(-9.20513 - 7.72402i) q^{77} +(88.9442 + 59.2979i) q^{78} +(-0.117809 + 0.323678i) q^{79} +(18.6393 + 46.3535i) q^{80} +(-32.0794 - 74.3768i) q^{81} +(-4.26656 - 8.03220i) q^{82} +(-32.5283 + 89.3708i) q^{83} +(-55.5071 - 5.55448i) q^{84} +(-49.5379 - 41.5672i) q^{85} +(-7.95507 - 24.5175i) q^{86} +(-18.6388 + 2.72998i) q^{87} +(-11.5425 - 17.1582i) q^{88} +(59.4029 + 102.889i) q^{89} +(-32.5254 + 45.8387i) q^{90} +(71.7269 + 41.4116i) q^{91} +(-37.1918 + 83.3493i) q^{92} +(21.1191 - 102.275i) q^{93} +(-2.87287 + 3.18801i) q^{94} +(-30.2259 - 83.0451i) q^{95} +(-89.1438 - 35.6283i) q^{96} +(11.2136 + 63.5953i) q^{97} +(54.7452 + 1.93431i) q^{98} +(9.21491 - 21.3614i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 204 q - 6 q^{2} - 6 q^{4} - 12 q^{5} - 6 q^{6} - 3 q^{8} - 12 q^{9}+O(q^{10}) \) 204 * q - 6 * q^2 - 6 * q^4 - 12 * q^5 - 6 * q^6 - 3 * q^8 - 12 * q^9	\( 204 q - 6 q^{2} - 6 q^{4} - 12 q^{5} - 6 q^{6} - 3 q^{8} - 12 q^{9} - 3 q^{10} + 39 q^{12} - 12 q^{13} + 39 q^{14} - 6 q^{16} - 6 q^{17} - 27 q^{18} - 69 q^{20} - 12 q^{21} - 6 q^{22} - 138 q^{24} - 12 q^{25} - 174 q^{26} - 12 q^{28} + 60 q^{29} - 153 q^{30} - 96 q^{32} + 48 q^{33} + 6 q^{34} + 24 q^{36} - 6 q^{37} + 72 q^{38} + 69 q^{40} - 192 q^{41} - 126 q^{42} - 219 q^{44} - 132 q^{45} - 3 q^{46} - 219 q^{48} - 12 q^{49} - 165 q^{50} + 21 q^{52} - 24 q^{53} + 78 q^{54} + 99 q^{56} - 150 q^{57} - 141 q^{58} + 210 q^{60} - 12 q^{61} + 294 q^{62} - 3 q^{64} - 156 q^{65} + 393 q^{66} + 375 q^{68} - 60 q^{69} - 165 q^{70} + 228 q^{72} - 6 q^{73} + 447 q^{74} - 54 q^{76} + 132 q^{77} + 750 q^{78} + 798 q^{80} + 228 q^{81} - 12 q^{82} + 762 q^{84} + 138 q^{85} + 606 q^{86} - 198 q^{88} - 114 q^{89} + 894 q^{90} + 723 q^{92} - 1020 q^{93} - 357 q^{94} + 474 q^{96} + 168 q^{97} + 510 q^{98}+O(q^{100}) \) 204 * q - 6 * q^2 - 6 * q^4 - 12 * q^5 - 6 * q^6 - 3 * q^8 - 12 * q^9 - 3 * q^10 + 39 * q^12 - 12 * q^13 + 39 * q^14 - 6 * q^16 - 6 * q^17 - 27 * q^18 - 69 * q^20 - 12 * q^21 - 6 * q^22 - 138 * q^24 - 12 * q^25 - 174 * q^26 - 12 * q^28 + 60 * q^29 - 153 * q^30 - 96 * q^32 + 48 * q^33 + 6 * q^34 + 24 * q^36 - 6 * q^37 + 72 * q^38 + 69 * q^40 - 192 * q^41 - 126 * q^42 - 219 * q^44 - 132 * q^45 - 3 * q^46 - 219 * q^48 - 12 * q^49 - 165 * q^50 + 21 * q^52 - 24 * q^53 + 78 * q^54 + 99 * q^56 - 150 * q^57 - 141 * q^58 + 210 * q^60 - 12 * q^61 + 294 * q^62 - 3 * q^64 - 156 * q^65 + 393 * q^66 + 375 * q^68 - 60 * q^69 - 165 * q^70 + 228 * q^72 - 6 * q^73 + 447 * q^74 - 54 * q^76 + 132 * q^77 + 750 * q^78 + 798 * q^80 + 228 * q^81 - 12 * q^82 + 762 * q^84 + 138 * q^85 + 606 * q^86 - 198 * q^88 - 114 * q^89 + 894 * q^90 + 723 * q^92 - 1020 * q^93 - 357 * q^94 + 474 * q^96 + 168 * q^97 + 510 * q^98

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