LMFDB - Embedded newform 187.2.g.d.137.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [187,2,Mod(69,187)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(187, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([8, 0]))

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

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

chi := DirichletCharacter("187.69");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 187 = 11 \cdot 17 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	187.g (of order $5$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$1.49320251780$
Analytic rank:	$0$
Dimension:	$8$
Relative dimension:	$2$ over $\Q(\zeta_{5})$
Coefficient field:	8.0.324000000.3
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{8} + 3x^{6} + 9x^{4} + 27x^{2} + 81 $ x^8 + 3x^6 + 9x^4 + 27*x^2 + 81
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			137.1
Root			$-1.40126 + 1.01807i$ of defining polynomial
Character	$\chi$	$=$	187.137
Dual form			187.2.g.d.86.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.500000 - 1.53884i) q^{2} +(-0.0922415 - 0.0670174i) q^{3} +(-0.500000 + 0.363271i) q^{4} +(-0.0352331 + 0.108436i) q^{5} +(-0.0570084 + 0.175454i) q^{6} +(1.09224 - 0.793560i) q^{7} +(-1.80902 - 1.31433i) q^{8} +(-0.923034 - 2.84081i) q^{9} +O(q^{10})$	\(q+(-0.500000 - 1.53884i) q^{2} +(-0.0922415 - 0.0670174i) q^{3} +(-0.500000 + 0.363271i) q^{4} +(-0.0352331 + 0.108436i) q^{5} +(-0.0570084 + 0.175454i) q^{6} +(1.09224 - 0.793560i) q^{7} +(-1.80902 - 1.31433i) q^{8} +(-0.923034 - 2.84081i) q^{9} +0.184483 q^{10} +(1.12747 - 3.11910i) q^{11} +0.0704663 q^{12} +(0.690983 + 2.12663i) q^{13} +(-1.76728 - 1.28401i) q^{14} +(0.0105171 - 0.00764111i) q^{15} +(-1.50000 + 4.61653i) q^{16} +(-0.309017 + 0.951057i) q^{17} +(-3.91003 + 2.84081i) q^{18} +(-3.30252 - 2.39942i) q^{19} +(-0.0217753 - 0.0670174i) q^{20} -0.153932 q^{21} +(-5.36354 - 0.175454i) q^{22} +2.18448 q^{23} +(0.0787837 + 0.242471i) q^{24} +(4.03457 + 2.93129i) q^{25} +(2.92705 - 2.12663i) q^{26} +(-0.210941 + 0.649209i) q^{27} +(-0.257843 + 0.793560i) q^{28} +(0.582801 - 0.423430i) q^{29} +(-0.0170170 - 0.0123636i) q^{30} +(2.35008 + 7.23282i) q^{31} +3.38197 q^{32} +(-0.313034 + 0.212150i) q^{33} +1.61803 q^{34} +(0.0475677 + 0.146398i) q^{35} +(1.49350 + 1.08509i) q^{36} +(6.56438 - 4.76930i) q^{37} +(-2.04107 + 6.28176i) q^{38} +(0.0787837 - 0.242471i) q^{39} +(0.206258 - 0.149855i) q^{40} +(-7.20961 - 5.23809i) q^{41} +(0.0769662 + 0.236878i) q^{42} +9.74597 q^{43} +(0.569343 + 1.96913i) q^{44} +0.340568 q^{45} +(-1.09224 - 3.36157i) q^{46} +(7.96564 + 5.78737i) q^{47} +(0.447750 - 0.325309i) q^{48} +(-1.59986 + 4.92388i) q^{49} +(2.49350 - 7.67420i) q^{50} +(0.0922415 - 0.0670174i) q^{51} +(-1.11803 - 0.812299i) q^{52} +(0.0435505 + 0.134035i) q^{53} +1.10450 q^{54} +(0.298500 + 0.232155i) q^{55} -3.01888 q^{56} +(0.143826 + 0.442652i) q^{57} +(-0.942992 - 0.685123i) q^{58} +(2.42705 - 1.76336i) q^{59} +(-0.00248275 + 0.00764111i) q^{60} +(-4.36689 + 13.4399i) q^{61} +(9.95512 - 7.23282i) q^{62} +(-3.26253 - 2.37036i) q^{63} +(1.30902 + 4.02874i) q^{64} -0.254949 q^{65} +(0.482983 + 0.375635i) q^{66} +5.45110 q^{67} +(-0.190983 - 0.587785i) q^{68} +(-0.201500 - 0.146398i) q^{69} +(0.201500 - 0.146398i) q^{70} +(1.26506 - 3.89344i) q^{71} +(-2.06397 + 6.35224i) q^{72} +(-5.51279 + 4.00528i) q^{73} +(-10.6214 - 7.71689i) q^{74} +(-0.175708 - 0.540773i) q^{75} +2.52290 q^{76} +(-1.24372 - 4.30153i) q^{77} -0.412517 q^{78} +(-4.67325 - 14.3828i) q^{79} +(-0.447750 - 0.325309i) q^{80} +(-7.18664 + 5.22140i) q^{81} +(-4.45578 + 13.7135i) q^{82} +(-0.925517 + 2.84845i) q^{83} +(0.0769662 - 0.0559192i) q^{84} +(-0.0922415 - 0.0670174i) q^{85} +(-4.87298 - 14.9975i) q^{86} -0.0821356 q^{87} +(-6.13914 + 4.16064i) q^{88} -11.2899 q^{89} +(-0.170284 - 0.524081i) q^{90} +(2.44233 + 1.77445i) q^{91} +(-1.09224 + 0.793560i) q^{92} +(0.267949 - 0.824663i) q^{93} +(4.92303 - 15.1515i) q^{94} +(0.376542 - 0.273574i) q^{95} +(-0.311958 - 0.226651i) q^{96} +(-0.783636 - 2.41178i) q^{97} +8.37700 q^{98} +(-9.90146 - 0.323900i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 8 q - 4 q^{2} + 6 q^{3} - 4 q^{4} + 4 q^{5} + 2 q^{6} + 2 q^{7} - 10 q^{8} + 2 q^{9}+O(q^{10}) $ 8 * q - 4 * q^2 + 6 * q^3 - 4 * q^4 + 4 * q^5 + 2 * q^6 + 2 * q^7 - 10 * q^8 + 2 * q^9	\( 8 q - 4 q^{2} + 6 q^{3} - 4 q^{4} + 4 q^{5} + 2 q^{6} + 2 q^{7} - 10 q^{8} + 2 q^{9} - 12 q^{10} - 2 q^{11} - 8 q^{12} + 10 q^{13} + 4 q^{14} + 14 q^{15} - 12 q^{16} + 2 q^{17} + 14 q^{18} - 4 q^{19} - 2 q^{20} - 20 q^{21} - 14 q^{22} + 4 q^{23} - 4 q^{25} + 10 q^{26} - 18 q^{27} + 14 q^{28} - 32 q^{30} - 4 q^{31} + 36 q^{32} + 6 q^{33} + 4 q^{34} - 6 q^{36} + 10 q^{37} + 2 q^{38} - 10 q^{40} - 10 q^{41} + 10 q^{42} + 16 q^{43} + 6 q^{44} + 40 q^{45} - 2 q^{46} + 10 q^{47} - 24 q^{48} - 14 q^{49} + 2 q^{50} - 6 q^{51} + 4 q^{53} + 64 q^{54} - 16 q^{55} - 20 q^{56} - 10 q^{57} - 10 q^{58} + 6 q^{59} - 22 q^{60} + 30 q^{61} + 12 q^{62} - 38 q^{63} + 6 q^{64} + 20 q^{65} - 28 q^{66} - 20 q^{67} - 6 q^{68} - 20 q^{69} + 20 q^{70} + 18 q^{71} + 10 q^{72} - 6 q^{73} - 40 q^{74} - 22 q^{75} + 12 q^{76} + 32 q^{77} + 20 q^{78} - 4 q^{79} + 24 q^{80} - 76 q^{81} - 20 q^{83} + 10 q^{84} + 6 q^{85} - 8 q^{86} + 36 q^{87} - 10 q^{88} - 48 q^{89} - 20 q^{90} - 10 q^{91} - 2 q^{92} + 16 q^{93} + 30 q^{94} + 10 q^{95} + 22 q^{96} + 12 q^{97} + 32 q^{98} + 22 q^{99}+O(q^{100}) \) 8 * q - 4 * q^2 + 6 * q^3 - 4 * q^4 + 4 * q^5 + 2 * q^6 + 2 * q^7 - 10 * q^8 + 2 * q^9 - 12 * q^10 - 2 * q^11 - 8 * q^12 + 10 * q^13 + 4 * q^14 + 14 * q^15 - 12 * q^16 + 2 * q^17 + 14 * q^18 - 4 * q^19 - 2 * q^20 - 20 * q^21 - 14 * q^22 + 4 * q^23 - 4 * q^25 + 10 * q^26 - 18 * q^27 + 14 * q^28 - 32 * q^30 - 4 * q^31 + 36 * q^32 + 6 * q^33 + 4 * q^34 - 6 * q^36 + 10 * q^37 + 2 * q^38 - 10 * q^40 - 10 * q^41 + 10 * q^42 + 16 * q^43 + 6 * q^44 + 40 * q^45 - 2 * q^46 + 10 * q^47 - 24 * q^48 - 14 * q^49 + 2 * q^50 - 6 * q^51 + 4 * q^53 + 64 * q^54 - 16 * q^55 - 20 * q^56 - 10 * q^57 - 10 * q^58 + 6 * q^59 - 22 * q^60 + 30 * q^61 + 12 * q^62 - 38 * q^63 + 6 * q^64 + 20 * q^65 - 28 * q^66 - 20 * q^67 - 6 * q^68 - 20 * q^69 + 20 * q^70 + 18 * q^71 + 10 * q^72 - 6 * q^73 - 40 * q^74 - 22 * q^75 + 12 * q^76 + 32 * q^77 + 20 * q^78 - 4 * q^79 + 24 * q^80 - 76 * q^81 - 20 * q^83 + 10 * q^84 + 6 * q^85 - 8 * q^86 + 36 * q^87 - 10 * q^88 - 48 * q^89 - 20 * q^90 - 10 * q^91 - 2 * q^92 + 16 * q^93 + 30 * q^94 + 10 * q^95 + 22 * q^96 + 12 * q^97 + 32 * q^98 + 22 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/187\mathbb{Z}\right)^\times$.

$n$	$35$	$122$
$\chi(n)$	$e\left(\frac{2}{5}\right)$	$1$

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 $

$2$	−0.500000	−	1.53884i	−0.353553	−	1.08813i	−0.956844	−	0.290604i	$-0.906144\pi$
$2$	−0.500000	−	1.53884i	−0.353553	−	1.08813i	0.603290	−	0.797522i	$-0.293856\pi$
$3$	−0.0922415	−	0.0670174i	−0.0532557	−	0.0386925i	0.560839	−	0.827925i	$-0.310479\pi$
$3$	−0.0922415	−	0.0670174i	−0.0532557	−	0.0386925i	−0.614095	+	0.789232i	$0.710479\pi$
$4$	−0.500000	+	0.363271i	−0.250000	+	0.181636i
$5$	−0.0352331	+	0.108436i	−0.0157567	+	0.0484942i	−0.958626	−	0.284669i	$-0.908116\pi$
$5$	−0.0352331	+	0.108436i	−0.0157567	+	0.0484942i	0.942869	+	0.333164i	$0.108116\pi$
$6$	−0.0570084	+	0.175454i	−0.0232736	+	0.0716287i
$7$	1.09224	−	0.793560i	0.412828	−	0.299937i	−0.361917	−	0.932210i	$-0.617878\pi$
$7$	1.09224	−	0.793560i	0.412828	−	0.299937i	0.774746	+	0.632273i	$0.217878\pi$
$8$	−1.80902	−	1.31433i	−0.639584	−	0.464685i
$9$	−0.923034	−	2.84081i	−0.307678	−	0.946935i
$10$	0.184483			0.0583387
$11$	1.12747	−	3.11910i	0.339946	−	0.940445i
$11$	1.12747	−	3.11910i	0.339946	−	0.940445i
$12$	0.0704663			0.0203419
$13$	0.690983	+	2.12663i	0.191644	+	0.589820i	0.999999	+	0.00112510i	$0.000358132\pi$
$13$	0.690983	+	2.12663i	0.191644	+	0.589820i	−0.808355	+	0.588695i	$0.799642\pi$
$14$	−1.76728	−	1.28401i	−0.472327	−	0.343165i
$15$	0.0105171	−	0.00764111i	0.00271550	−	0.00197293i
$16$	−1.50000	+	4.61653i	−0.375000	+	1.15413i
$17$	−0.309017	+	0.951057i	−0.0749476	+	0.230665i
$17$	−0.309017	+	0.951057i	−0.0749476	+	0.230665i
$18$	−3.91003	+	2.84081i	−0.921604	+	0.669584i
$19$	−3.30252	−	2.39942i	−0.757649	−	0.550464i	0.140539	−	0.990075i	$-0.455116\pi$
$19$	−3.30252	−	2.39942i	−0.757649	−	0.550464i	−0.898188	+	0.439611i	$0.855116\pi$
$20$	−0.0217753	−	0.0670174i	−0.00486910	−	0.0149855i
$21$	−0.153932			−0.0335908
$22$	−5.36354	−	0.175454i	−1.14351	−	0.0374069i
$23$	2.18448			0.455496			0.227748	−	0.973720i	$-0.426864\pi$
$23$	2.18448			0.455496			0.227748	+	0.973720i	$0.426864\pi$
$24$	0.0787837	+	0.242471i	0.0160817	+	0.0494942i
$25$	4.03457	+	2.93129i	0.806914	+	0.586257i
$26$	2.92705	−	2.12663i	0.574042	−	0.417066i
$27$	−0.210941	+	0.649209i	−0.0405956	+	0.124940i
$28$	−0.257843	+	0.793560i	−0.0487278	+	0.149969i
$29$	0.582801	−	0.423430i	0.108223	−	0.0786289i	−0.532357	−	0.846520i	$-0.678694\pi$
$29$	0.582801	−	0.423430i	0.108223	−	0.0786289i	0.640581	+	0.767891i	$0.278694\pi$
$30$	−0.0170170	−	0.0123636i	−0.00310687	−	0.00225727i
$31$	2.35008	+	7.23282i	0.422088	+	1.29905i	0.905755	+	0.423801i	$0.139304\pi$
$31$	2.35008	+	7.23282i	0.422088	+	1.29905i	−0.483668	+	0.875252i	$0.660696\pi$
$32$	3.38197			0.597853
$33$	−0.313034	+	0.212150i	−0.0544923	+	0.0369306i
$34$	1.61803			0.277491
$35$	0.0475677	+	0.146398i	0.00804041	+	0.0247458i
$36$	1.49350	+	1.08509i	0.248917	+	0.180849i
$37$	6.56438	−	4.76930i	1.07918	−	0.784068i	0.101638	−	0.994821i	$-0.467592\pi$
$37$	6.56438	−	4.76930i	1.07918	−	0.784068i	0.977539	+	0.210753i	$0.0675917\pi$
$38$	−2.04107	+	6.28176i	−0.331105	+	1.01904i
$39$	0.0787837	−	0.242471i	0.0126155	−	0.0388265i
$40$	0.206258	−	0.149855i	0.0326123	−	0.0236942i
$41$	−7.20961	−	5.23809i	−1.12595	−	0.818052i	−0.140851	−	0.990031i	$-0.544984\pi$
$41$	−7.20961	−	5.23809i	−1.12595	−	0.818052i	−0.985101	+	0.171979i	$0.944984\pi$
$42$	0.0769662	+	0.236878i	0.0118761	+	0.0365510i
$43$	9.74597			1.48625			0.743123	−	0.669155i	$-0.233344\pi$
$43$	9.74597			1.48625			0.743123	+	0.669155i	$0.233344\pi$
$44$	0.569343	+	1.96913i	0.0858317	+	0.296858i
$45$	0.340568			0.0507689
$46$	−1.09224	−	3.36157i	−0.161042	−	0.495637i
$47$	7.96564	+	5.78737i	1.16191	+	0.844175i	0.990018	−	0.140941i	$-0.0450128\pi$
$47$	7.96564	+	5.78737i	1.16191	+	0.844175i	0.171889	+	0.985116i	$0.445013\pi$
$48$	0.447750	−	0.325309i	0.0646271	−	0.0469544i
$49$	−1.59986	+	4.92388i	−0.228552	+	0.703411i
$50$	2.49350	−	7.67420i	0.352634	−	1.08530i
$51$	0.0922415	−	0.0670174i	0.0129164	−	0.00938431i
$52$	−1.11803	−	0.812299i	−0.155043	−	0.112646i
$53$	0.0435505	+	0.134035i	0.00598213	+	0.0184111i	0.954003	−	0.299797i	$-0.0969189\pi$
$53$	0.0435505	+	0.134035i	0.00598213	+	0.0184111i	−0.948021	+	0.318208i	$0.896919\pi$
$54$	1.10450			0.150303
$55$	0.298500	+	0.232155i	0.0402497	+	0.0313038i
$56$	−3.01888			−0.403415
$57$	0.143826	+	0.442652i	0.0190503	+	0.0586307i
$58$	−0.942992	−	0.685123i	−0.123821	−	0.0899611i
$59$	2.42705	−	1.76336i	0.315975	−	0.229569i	−0.418481	−	0.908226i	$-0.637437\pi$
$59$	2.42705	−	1.76336i	0.315975	−	0.229569i	0.734456	+	0.678656i	$0.237437\pi$
$60$	−0.00248275	+	0.00764111i	−0.000320521	+	0.000986463i
$61$	−4.36689	+	13.4399i	−0.559124	+	1.72081i	0.125674	+	0.992072i	$0.459891\pi$
$61$	−4.36689	+	13.4399i	−0.559124	+	1.72081i	−0.684797	+	0.728734i	$0.740109\pi$
$62$	9.95512	−	7.23282i	1.26430	−	0.918569i
$63$	−3.26253	−	2.37036i	−0.411040	−	0.298638i
$64$	1.30902	+	4.02874i	0.163627	+	0.503593i
$65$	−0.254949			−0.0316226
$66$	0.482983	+	0.375635i	0.0594511	+	0.0462375i
$67$	5.45110			0.665958			0.332979	−	0.942934i	$-0.391946\pi$
$67$	5.45110			0.665958			0.332979	+	0.942934i	$0.391946\pi$
$68$	−0.190983	−	0.587785i	−0.0231601	−	0.0712794i
$69$	−0.201500	−	0.146398i	−0.0242578	−	0.0176243i
$70$	0.201500	−	0.146398i	0.0240839	−	0.0174980i
$71$	1.26506	−	3.89344i	0.150134	−	0.462066i	−0.847501	−	0.530794i	$-0.821894\pi$
$71$	1.26506	−	3.89344i	0.150134	−	0.462066i	0.997635	+	0.0687274i	$0.0218939\pi$
$72$	−2.06397	+	6.35224i	−0.243241	+	0.748618i
$73$	−5.51279	+	4.00528i	−0.645224	+	0.468782i	−0.861641	−	0.507519i	$-0.830563\pi$
$73$	−5.51279	+	4.00528i	−0.645224	+	0.468782i	0.216417	+	0.976301i	$0.430563\pi$
$74$	−10.6214	−	7.71689i	−1.23471	−	0.897070i
$75$	−0.175708	−	0.540773i	−0.0202890	−	0.0624430i
$76$	2.52290			0.289396
$77$	−1.24372	−	4.30153i	−0.141735	−	0.490205i
$78$	−0.412517			−0.0467083
$79$	−4.67325	−	14.3828i	−0.525782	−	1.61819i	−0.762764	−	0.646677i	$-0.776158\pi$
$79$	−4.67325	−	14.3828i	−0.525782	−	1.61819i	0.236982	−	0.971514i	$-0.423842\pi$
$80$	−0.447750	−	0.325309i	−0.0500600	−	0.0363707i
$81$	−7.18664	+	5.22140i	−0.798515	+	0.580155i
$82$	−4.45578	+	13.7135i	−0.492059	+	1.51440i
$83$	−0.925517	+	2.84845i	−0.101589	+	0.312658i	−0.988915	−	0.148485i	$-0.952560\pi$
$83$	−0.925517	+	2.84845i	−0.101589	+	0.312658i	0.887326	+	0.461143i	$0.152560\pi$
$84$	0.0769662	−	0.0559192i	0.00839770	−	0.00610129i
$85$	−0.0922415	−	0.0670174i	−0.0100050	−	0.00726906i
$86$	−4.87298	−	14.9975i	−0.525467	−	1.61722i
$87$	−0.0821356			−0.00880586
$88$	−6.13914	+	4.16064i	−0.654435	+	0.443526i
$89$	−11.2899			−1.19673			−0.598363	−	0.801225i	$-0.704182\pi$
$89$	−11.2899			−1.19673			−0.598363	+	0.801225i	$0.704182\pi$
$90$	−0.170284	−	0.524081i	−0.0179495	−	0.0552430i
$91$	2.44233	+	1.77445i	0.256025	+	0.186013i
$92$	−1.09224	+	0.793560i	−0.113874	+	0.0827343i
$93$	0.267949	−	0.824663i	0.0277850	−	0.0855136i
$94$	4.92303	−	15.1515i	0.507772	−	1.56276i
$95$	0.376542	−	0.273574i	0.0386324	−	0.0280681i
$96$	−0.311958	−	0.226651i	−0.0318391	−	0.0231324i
$97$	−0.783636	−	2.41178i	−0.0795661	−	0.244879i	0.903359	−	0.428885i	$-0.141094\pi$
$97$	−0.783636	−	2.41178i	−0.0795661	−	0.244879i	−0.982925	+	0.184006i	$0.941094\pi$
$98$	8.37700			0.846205
$99$	−9.90146	−	0.323900i	−0.995134	−	0.0325531i
$100$	−3.08214			−0.308214
$101$	2.13845	+	6.58147i	0.212784	+	0.654881i	0.999304	+	0.0373159i	$0.0118808\pi$
$101$	2.13845	+	6.58147i	0.212784	+	0.654881i	−0.786520	+	0.617565i	$0.788119\pi$
$102$	−0.149250	−	0.108436i	−0.0147779	−	0.0107368i
$103$	−1.48948	+	1.08217i	−0.146763	+	0.106630i	−0.658744	−	0.752367i	$-0.728912\pi$
$103$	−1.48948	+	1.08217i	−0.146763	+	0.106630i	0.511981	+	0.858997i	$0.328912\pi$
$104$	1.54508	−	4.75528i	0.151508	−	0.466294i
$105$	0.00542352	−	0.0166919i	0.000529281	−	0.00162896i
$106$	0.184483	−	0.134035i	0.0179186	−	0.0130186i
$107$	0.601682	+	0.437148i	0.0581668	+	0.0422607i	0.616489	−	0.787364i	$-0.288555\pi$
$107$	0.601682	+	0.437148i	0.0581668	+	0.0422607i	−0.558322	+	0.829624i	$0.688555\pi$
$108$	−0.130369	−	0.401233i	−0.0125447	−	0.0386087i
$109$	−9.81643			−0.940244			−0.470122	−	0.882602i	$-0.655790\pi$
$109$	−9.81643			−0.940244			−0.470122	+	0.882602i	$0.655790\pi$
$110$	0.208000	−	0.575422i	0.0198320	−	0.0548643i
$111$	−0.925134			−0.0878099
$112$	2.02513	+	6.23270i	0.191357	+	0.588935i
$113$	1.93757	+	1.40773i	0.182271	+	0.132428i	0.675179	−	0.737654i	$-0.264066\pi$
$113$	1.93757	+	1.40773i	0.182271	+	0.132428i	−0.492908	+	0.870081i	$0.664066\pi$
$114$	0.609259	−	0.442652i	0.0570623	−	0.0414582i
$115$	−0.0769662	+	0.236878i	−0.00717713	+	0.0220889i
$116$	−0.137581	+	0.423430i	−0.0127740	+	0.0393145i
$117$	5.40353	−	3.92590i	0.499557	−	0.362949i
$118$	−3.92705	−	2.85317i	−0.361514	−	0.262656i
$119$	0.417199	+	1.28401i	0.0382446	+	0.117705i
$120$	−0.0290685			−0.00265358
$121$	−8.45760	−	7.03342i	−0.768873	−	0.639402i
$122$	22.8654			2.07013
$123$	0.313982	+	0.966339i	0.0283108	+	0.0871318i
$124$	−3.80252	−	2.76269i	−0.341476	−	0.248097i
$125$	−0.921216	+	0.669303i	−0.0823961	+	0.0598643i
$126$	−2.01635	+	6.20569i	−0.179631	+	0.552847i
$127$	1.47687	−	4.54532i	0.131051	−	0.403332i	−0.863904	−	0.503656i	$-0.831988\pi$
$127$	1.47687	−	4.54532i	0.131051	−	0.403332i	0.994955	+	0.100324i	$0.0319879\pi$
$128$	11.0172	−	8.00448i	0.973794	−	0.707503i
$129$	−0.898983	−	0.653149i	−0.0791510	−	0.0575066i
$130$	0.127475	+	0.392327i	0.0111803	+	0.0344093i
$131$	2.43852			0.213054			0.106527	−	0.994310i	$-0.466027\pi$
$131$	2.43852			0.213054			0.106527	+	0.994310i	$0.466027\pi$
$132$	0.0794489	−	0.219792i	0.00691514	−	0.0191304i
$133$	−5.51123			−0.477884
$134$	−2.72555	−	8.38838i	−0.235452	−	0.724646i
$135$	−0.0629658	−	0.0457473i	−0.00541923	−	0.00393730i
$136$	1.80902	−	1.31433i	0.155122	−	0.112703i
$137$	−4.02136	+	12.3765i	−0.343568	+	1.05739i	0.618777	+	0.785566i	$0.287628\pi$
$137$	−4.02136	+	12.3765i	−0.343568	+	1.05739i	−0.962346	+	0.271828i	$0.912372\pi$
$138$	−0.124534	+	0.383276i	−0.0106010	+	0.0326266i
$139$	7.35477	−	5.34355i	0.623823	−	0.453234i	−0.230432	−	0.973089i	$-0.574014\pi$
$139$	7.35477	−	5.34355i	0.623823	−	0.453234i	0.854255	+	0.519854i	$0.174014\pi$
$140$	−0.0769662	−	0.0559192i	−0.00650483	−	0.00472604i
$141$	−0.346908	−	1.06767i	−0.0292149	−	0.0899142i
$142$	−6.62392			−0.555867
$143$	7.41223	+	0.242471i	0.619842	+	0.0202765i
$144$	14.4992			1.20827
$145$	0.0253813	+	0.0781156i	0.00210780	+	0.00648715i
$146$	8.91989	+	6.48068i	0.738215	+	0.536345i
$147$	0.477559	−	0.346967i	0.0393884	−	0.0286174i
$148$	−1.54964	+	4.76930i	−0.127380	+	0.392034i
$149$	1.66560	−	5.12619i	0.136451	−	0.419954i	−0.859362	−	0.511368i	$-0.829139\pi$
$149$	1.66560	−	5.12619i	0.136451	−	0.419954i	0.995813	+	0.0914142i	$0.0291387\pi$
$150$	−0.744310	+	0.540773i	−0.0607726	+	0.0441539i
$151$	12.4526	+	9.04737i	1.01338	+	0.736265i	0.964916	−	0.262560i	$-0.0845669\pi$
$151$	12.4526	+	9.04737i	1.01338	+	0.736265i	0.0484656	+	0.998825i	$0.484567\pi$
$152$	2.82069	+	8.68118i	0.228788	+	0.704137i
$153$	2.98700			0.241485
$154$	−5.99752	+	4.06465i	−0.483294	+	0.327539i
$155$	−0.867102			−0.0696473
$156$	0.0486910	+	0.149855i	0.00389840	+	0.0119980i
$157$	2.57448	+	1.87047i	0.205466	+	0.149280i	0.685760	−	0.727828i	$-0.259470\pi$
$157$	2.57448	+	1.87047i	0.205466	+	0.149280i	−0.480294	+	0.877108i	$0.659470\pi$
$158$	−19.7962	+	14.3828i	−1.57490	+	1.14423i
$159$	0.00496550	−	0.0152822i	0.000393789	−	0.00121196i
$160$	−0.119157	+	0.366728i	−0.00942021	+	0.0289924i
$161$	2.38598	−	1.73352i	0.188042	−	0.136620i
$162$	11.6282	+	8.44840i	0.913599	+	0.663769i
$163$	−6.03859	−	18.5849i	−0.472978	−	1.45568i	−0.848665	−	0.528931i	$-0.822593\pi$
$163$	−6.03859	−	18.5849i	−0.472978	−	1.45568i	0.375686	−	0.926747i	$-0.377407\pi$
$164$	5.50765			0.430075
$165$	−0.0119757	−	0.0414190i	−0.000932304	−	0.00322447i
$166$	4.84607			0.376128
$167$	−3.92999	−	12.0953i	−0.304112	−	0.935960i	−0.980007	−	0.198962i	$-0.936243\pi$
$167$	−3.92999	−	12.0953i	−0.304112	−	0.935960i	0.675895	−	0.736998i	$-0.263757\pi$
$168$	0.278466	+	0.202318i	0.0214841	+	0.0156091i
$169$	6.47214	−	4.70228i	0.497857	−	0.361714i
$170$	−0.0570084	+	0.175454i	−0.00437235	+	0.0134567i
$171$	−3.76795	+	11.5966i	−0.288142	+	0.886811i
$172$	−4.87298	+	3.54043i	−0.371561	+	0.269955i
$173$	−4.42887	−	3.21776i	−0.336721	−	0.244642i	0.406556	−	0.913626i	$-0.366730\pi$
$173$	−4.42887	−	3.21776i	−0.336721	−	0.244642i	−0.743277	+	0.668984i	$0.766730\pi$
$174$	0.0410678	+	0.126394i	0.00311334	+	0.00958188i
$175$	6.73287			0.508957
$176$	12.7082	+	9.88367i	0.957917	+	0.745010i
$177$	−0.342050			−0.0257101
$178$	5.64495	+	17.3734i	0.423107	+	1.30219i
$179$	11.0651	+	8.03928i	0.827046	+	0.600884i	0.918722	−	0.394905i	$-0.129222\pi$
$179$	11.0651	+	8.03928i	0.827046	+	0.600884i	−0.0916762	+	0.995789i	$0.529222\pi$
$180$	−0.170284	+	0.123719i	−0.0126922	+	0.00922144i
$181$	3.76076	−	11.5744i	0.279535	−	0.860319i	−0.708449	−	0.705762i	$-0.750605\pi$
$181$	3.76076	−	11.5744i	0.279535	−	0.860319i	0.987984	−	0.154557i	$-0.0493952\pi$
$182$	1.50944	−	4.64558i	0.111887	−	0.344353i
$183$	1.30352	−	0.947061i	0.0963588	−	0.0700088i
$184$	−3.95177	−	2.87113i	−0.291328	−	0.211662i
$185$	0.285882	+	0.879855i	0.0210185	+	0.0646882i
$186$	−1.40300			−0.102873
$187$	2.61803	+	2.03615i	0.191450	+	0.148898i
$188$	−6.08520			−0.443809
$189$	0.284788	+	0.876487i	0.0207153	+	0.0637551i
$190$	−0.609259	−	0.442652i	−0.0442003	−	0.0321134i
$191$	−11.5321	+	8.37855i	−0.834432	+	0.606251i	−0.920810	−	0.390012i	$-0.872471\pi$
$191$	−11.5321	+	8.37855i	−0.834432	+	0.606251i	0.0863774	+	0.996262i	$0.472471\pi$
$192$	0.149250	−	0.459344i	0.0107712	−	0.0331503i
$193$	−3.28269	+	10.1031i	−0.236293	+	0.727235i	0.760654	+	0.649157i	$0.224878\pi$
$193$	−3.28269	+	10.1031i	−0.236293	+	0.727235i	−0.996947	+	0.0780779i	$0.975122\pi$
$194$	−3.31953	+	2.41178i	−0.238329	+	0.173156i
$195$	0.0235169	+	0.0170860i	0.00168408	+	0.00122356i
$196$	−0.988771	−	3.04312i	−0.0706265	−	0.217366i
$197$	−14.8738			−1.05971			−0.529857	−	0.848087i	$-0.677755\pi$
$197$	−14.8738			−1.05971			−0.529857	+	0.848087i	$0.677755\pi$
$198$	4.45230	+	15.3987i	0.316411	+	1.09434i
$199$	−23.9807			−1.69995			−0.849974	−	0.526825i	$-0.823382\pi$
$199$	−23.9807			−1.69995			−0.849974	+	0.526825i	$0.823382\pi$
$200$	−3.44593	−	10.6055i	−0.243664	−	0.749921i
$201$	−0.502818	−	0.365319i	−0.0354661	−	0.0257676i
$202$	9.05862	−	6.58147i	0.637362	−	0.463071i
$203$	0.300543	−	0.924975i	0.0210940	−	0.0649205i
$204$	−0.0217753	+	0.0670174i	−0.00152457	+	0.00469216i
$205$	0.822017	−	0.597230i	0.0574121	−	0.0417124i
$206$	2.41003	+	1.75099i	0.167915	+	0.121997i
$207$	−2.01635	−	6.20569i	−0.140146	−	0.431325i
$208$	−10.8541			−0.752597
$209$	−11.2075	+	7.59561i	−0.775242	+	0.525399i
$210$	−0.0283979			−0.00195964
$211$	0.409987	+	1.26181i	0.0282247	+	0.0868666i	0.964177	−	0.265261i	$-0.0854582\pi$
$211$	0.409987	+	1.26181i	0.0282247	+	0.0868666i	−0.935952	+	0.352128i	$0.885458\pi$
$212$	−0.0704663	−	0.0511967i	−0.00483964	−	0.00351621i
$213$	−0.377619	+	0.274356i	−0.0258740	+	0.0187986i
$214$	0.371860	−	1.14447i	0.0254198	−	0.0782342i
$215$	−0.343381	+	1.05682i	−0.0234184	+	0.0720744i
$216$	1.23487	−	0.897185i	0.0840222	−	0.0610457i
$217$	8.30653	+	6.03505i	0.563884	+	0.409686i
$218$	4.90822	+	15.1059i	0.332426	+	1.02310i
$219$	0.776932			0.0525002
$220$	−0.233585	−	0.00764111i	−0.0157483	−	0.000515164i
$221$	−2.23607			−0.150414
$222$	0.462567	+	1.42364i	0.0310455	+	0.0955482i
$223$	7.43222	+	5.39982i	0.497698	+	0.361599i	0.808137	−	0.588994i	$-0.200476\pi$
$223$	7.43222	+	5.39982i	0.497698	+	0.361599i	−0.310439	+	0.950593i	$0.600476\pi$
$224$	3.69392	−	2.68379i	0.246811	−	0.179318i
$225$	4.60317	−	14.1671i	0.306878	−	0.944473i
$226$	1.19748	−	3.68547i	0.0796554	−	0.245154i
$227$	3.66747	−	2.66457i	0.243418	−	0.176854i	−0.459387	−	0.888236i	$-0.651931\pi$
$227$	3.66747	−	2.66457i	0.243418	−	0.176854i	0.702805	+	0.711383i	$0.251931\pi$
$228$	−0.232716	−	0.169078i	−0.0154120	−	0.0111975i
$229$	−8.72626	−	26.8567i	−0.576648	−	1.77474i	−0.630499	−	0.776190i	$-0.717150\pi$
$229$	−8.72626	−	26.8567i	−0.576648	−	1.77474i	0.0538512	−	0.998549i	$-0.482850\pi$
$230$	0.403000			0.0265730
$231$	−0.173555	+	0.480131i	−0.0114191	+	0.0315903i
$232$	−1.61082			−0.105756
$233$	7.41016	+	22.8061i	0.485456	+	1.49408i	0.831320	+	0.555795i	$0.187586\pi$
$233$	7.41016	+	22.8061i	0.485456	+	1.49408i	−0.345864	+	0.938285i	$0.612414\pi$
$234$	−8.74310	−	6.35224i	−0.571554	−	0.415259i
$235$	−0.908216	+	0.659858i	−0.0592455	+	0.0430444i
$236$	−0.572949	+	1.76336i	−0.0372958	+	0.114785i
$237$	−0.532830	+	1.63988i	−0.0346110	+	0.106522i
$238$	1.76728	−	1.28401i	0.114556	−	0.0832298i
$239$	10.3593	+	7.52645i	0.670086	+	0.486846i	0.870054	−	0.492957i	$-0.164084\pi$
$239$	10.3593	+	7.52645i	0.670086	+	0.486846i	−0.199968	+	0.979802i	$0.564084\pi$
$240$	0.0194998	+	0.0600141i	0.00125870	+	0.00387389i
$241$	0.00670384			0.000431832			0.000215916	−	1.00000i	$-0.499931\pi$
$241$	0.00670384			0.000431832			0.000215916		1.00000i	$0.499931\pi$
$242$	−6.59452	+	16.5316i	−0.423912	+	1.06269i
$243$	3.06069			0.196343
$244$	−2.69889	−	8.30633i	−0.172779	−	0.531758i
$245$	−0.477559	−	0.346967i	−0.0305102	−	0.0221669i
$246$	1.33005	−	0.966339i	0.0848010	−	0.0616115i
$247$	2.82069	−	8.68118i	0.179476	−	0.552370i
$248$	5.25495	−	16.1731i	0.333690	−	1.02699i
$249$	0.276267	−	0.200719i	0.0175077	−	0.0127201i
$250$	1.49056	+	1.08295i	0.0942712	+	0.0684921i
$251$	−2.33732	−	7.19353i	−0.147530	−	0.454052i	0.849797	−	0.527110i	$-0.176724\pi$
$251$	−2.33732	−	7.19353i	−0.147530	−	0.454052i	−0.997328	+	0.0730577i	$0.976724\pi$
$252$	2.49235			0.157003
$253$	2.46295	−	6.81363i	0.154844	−	0.428369i
$254$	−7.73297			−0.485209
$255$	0.00401717	+	0.0123636i	0.000251565	+	0.000774237i
$256$	−10.9721	−	7.97172i	−0.685758	−	0.498233i
$257$	−23.0675	+	16.7595i	−1.43891	+	1.04543i	−0.450641	+	0.892705i	$0.648804\pi$
$257$	−23.0675	+	16.7595i	−1.43891	+	1.04543i	−0.988269	+	0.152724i	$0.951196\pi$
$258$	−0.555602	+	1.70997i	−0.0345903	+	0.106458i
$259$	3.38516	−	10.4185i	0.210344	−	0.647371i
$260$	0.127475	−	0.0926158i	0.00790564	−	0.00574379i
$261$	−1.74083	−	1.26478i	−0.107754	−	0.0782882i
$262$	−1.21926	−	3.75249i	−0.0753260	−	0.231830i
$263$	−16.4183			−1.01240			−0.506198	−	0.862417i	$-0.668950\pi$
$263$	−16.4183			−1.01240			−0.506198	+	0.862417i	$0.668950\pi$
$264$	0.845119	+	0.0276458i	0.0520135	+	0.00170148i
$265$	−0.0160687			−0.000987091
$266$	2.75561	+	8.48091i	0.168958	+	0.519998i
$267$	1.04140	+	0.756620i	0.0637325	+	0.0463044i
$268$	−2.72555	+	1.98023i	−0.166490	+	0.120962i
$269$	5.95673	−	18.3329i	0.363188	−	1.11778i	−0.587919	−	0.808920i	$-0.700053\pi$
$269$	5.95673	−	18.3329i	0.363188	−	1.11778i	0.951108	−	0.308859i	$-0.0999472\pi$
$270$	−0.0389150	+	0.119768i	−0.00236829	+	0.00728885i
$271$	3.32603	−	2.41651i	0.202042	−	0.146792i	−0.482164	−	0.876081i	$-0.660149\pi$
$271$	3.32603	−	2.41651i	0.202042	−	0.146792i	0.684206	+	0.729289i	$0.260149\pi$
$272$	−3.92705	−	2.85317i	−0.238112	−	0.172999i
$273$	−0.106365	−	0.327357i	−0.00643748	−	0.0198125i
$274$	21.0561			1.27205
$275$	13.6919	−	9.27928i	0.825650	−	0.559562i
$276$	0.153932			0.00926564
$277$	−2.53971	−	7.81642i	−0.152596	−	0.469643i	0.845313	−	0.534271i	$-0.179414\pi$
$277$	−2.53971	−	7.81642i	−0.152596	−	0.469643i	−0.997909	+	0.0646281i	$0.979414\pi$
$278$	−11.9003	−	8.64605i	−0.713730	−	0.518555i
$279$	18.3778	−	13.3523i	1.10025	−	0.799379i
$280$	0.106365	−	0.327357i	0.00635650	−	0.0195633i
$281$	−2.92457	+	9.00090i	−0.174465	+	0.536948i	−0.999609	−	0.0279748i	$-0.991094\pi$
$281$	−2.92457	+	9.00090i	−0.174465	+	0.536948i	0.825144	+	0.564923i	$0.191094\pi$
$282$	−1.46953	+	1.06767i	−0.0875089	+	0.0635790i
$283$	12.1249	+	8.80929i	0.720753	+	0.523658i	0.886625	−	0.462490i	$-0.153044\pi$
$283$	12.1249	+	8.80929i	0.720753	+	0.523658i	−0.165872	+	0.986147i	$0.553044\pi$
$284$	0.781847	+	2.40628i	0.0463941	+	0.142786i
$285$	−0.0530671			−0.00314342
$286$	−3.33299	−	11.5275i	−0.197084	−	0.681635i
$287$	−12.0314			−0.710189
$288$	−3.12167	−	9.60751i	−0.183946	−	0.566128i
$289$	−0.809017	−	0.587785i	−0.0475892	−	0.0345756i
$290$	0.107517	−	0.0781156i	0.00631361	−	0.00458711i
$291$	−0.0893476	+	0.274984i	−0.00523765	+	0.0161198i
$292$	1.30139	−	4.00528i	0.0761583	−	0.234391i
$293$	20.5323	−	14.9176i	1.19951	−	0.871494i	0.205273	−	0.978705i	$-0.434192\pi$
$293$	20.5323	−	14.9176i	1.19951	−	0.871494i	0.994236	+	0.107210i	$0.0341918\pi$
$294$	−0.772707	−	0.561405i	−0.0450652	−	0.0327418i
$295$	0.105699	+	0.325309i	0.00615406	+	0.0189402i
$296$	−18.1435			−1.05457
$297$	1.78712	+	1.38991i	0.103699	+	0.0806509i
$298$	−8.72120			−0.505206
$299$	1.50944	+	4.64558i	0.0872932	+	0.268661i
$300$	0.284301	+	0.206557i	0.0164141	+	0.0119256i
$301$	10.6449	−	7.73401i	0.613565	−	0.445781i
$302$	7.69615	−	23.6863i	0.442864	−	1.36299i
$303$	0.243819	−	0.750398i	0.0140070	−	0.0431093i
$304$	16.0308	−	11.6470i	0.919427	−	0.668003i
$305$	−1.30352	−	0.947061i	−0.0746392	−	0.0542286i
$306$	−1.49350	−	4.59652i	−0.0853777	−	0.262766i
$307$	−29.0627			−1.65870			−0.829349	−	0.558731i	$-0.811289\pi$
$307$	−29.0627			−1.65870			−0.829349	+	0.558731i	$0.811289\pi$
$308$	2.18448	+	1.69896i	0.124472	+	0.0968071i
$309$	0.209917			0.0119417
$310$	0.433551	+	1.33433i	0.0246240	+	0.0757850i
$311$	6.67839	+	4.85214i	0.378697	+	0.275139i	0.760808	−	0.648977i	$-0.224803\pi$
$311$	6.67839	+	4.85214i	0.378697	+	0.275139i	−0.382111	+	0.924116i	$0.624803\pi$
$312$	−0.461208	+	0.335087i	−0.0261107	+	0.0189706i
$313$	−8.76204	+	26.9668i	−0.495260	+	1.52425i	0.321292	+	0.946980i	$0.395883\pi$
$313$	−8.76204	+	26.9668i	−0.495260	+	1.52425i	−0.816552	+	0.577272i	$0.804117\pi$
$314$	1.59112	−	4.89696i	0.0897920	−	0.276351i
$315$	0.371983	−	0.270261i	0.0209589	−	0.0152275i
$316$	7.56148	+	5.49374i	0.425367	+	0.309047i
$317$	4.08242	+	12.5644i	0.229291	+	0.705687i	0.997828	+	0.0658801i	$0.0209855\pi$
$317$	4.08242	+	12.5644i	0.229291	+	0.705687i	−0.768536	+	0.639806i	$0.779015\pi$
$318$	−0.0259997			−0.00145799
$319$	−0.663627	−	2.29522i	−0.0371560	−	0.128508i
$320$	−0.482983			−0.0269996
$321$	−0.0262036	−	0.0806464i	−0.00146254	−	0.00450124i
$322$	−3.86060	−	2.80489i	−0.215143	−	0.156310i
$323$	3.30252	−	2.39942i	0.183757	−	0.133507i
$324$	1.69653	−	5.22140i	0.0942519	−	0.290078i
$325$	−3.44593	+	10.6055i	−0.191146	+	0.588287i
$326$	−25.5799	+	18.5849i	−1.41674	+	1.02932i
$327$	0.905483	+	0.657872i	0.0500733	+	0.0363804i
$328$	6.15774	+	18.9516i	0.340004	+	1.04643i
$329$	13.2930			0.732868
$330$	−0.0577495	+	0.0391382i	−0.00317901	+	0.00215448i
$331$	−3.91827			−0.215368			−0.107684	−	0.994185i	$-0.534343\pi$
$331$	−3.91827			−0.215368			−0.107684	+	0.994185i	$0.534343\pi$
$332$	−0.572001	−	1.76044i	−0.0313926	−	0.0966165i
$333$	−19.6078	−	14.2459i	−1.07450	−	0.780670i
$334$	−16.6477	+	12.0953i	−0.910922	+	0.661824i
$335$	−0.192059	+	0.591098i	−0.0104933	+	0.0322951i
$336$	0.230899	−	0.710633i	0.0125965	−	0.0387682i
$337$	−14.9748	+	10.8798i	−0.815731	+	0.592663i	−0.915486	−	0.402349i	$-0.868194\pi$
$337$	−14.9748	+	10.8798i	−0.815731	+	0.592663i	0.0997558	+	0.995012i	$0.468194\pi$
$338$	−10.4721	−	7.60845i	−0.569609	−	0.413845i
$339$	−0.0843822	−	0.259702i	−0.00458301	−	0.0141051i
$340$	0.0704663			0.00382157
$341$	25.2096	+	0.824663i	1.36517	+	0.0446580i
$342$	19.7292			1.06684
$343$	5.08035	+	15.6357i	0.274313	+	0.844248i
$344$	−17.6306	−	12.8094i	−0.950579	−	0.690636i
$345$	0.0229744	−	0.0166919i	0.00123690	−	0.000898661i
$346$	−2.73719	+	8.42421i	−0.147152	+	0.452888i
$347$	−6.19712	+	19.0728i	−0.332679	+	1.02388i	0.635175	+	0.772368i	$0.280928\pi$
$347$	−6.19712	+	19.0728i	−0.332679	+	1.02388i	−0.967854	+	0.251512i	$0.919072\pi$
$348$	0.0410678	−	0.0298375i	0.00220147	−	0.00159946i
$349$	14.7471	+	10.7144i	0.789395	+	0.573529i	0.907784	−	0.419438i	$-0.137773\pi$
$349$	14.7471	+	10.7144i	0.789395	+	0.573529i	−0.118389	+	0.992967i	$0.537773\pi$
$350$	−3.36644	−	10.3608i	−0.179944	−	0.553809i
$351$	−1.52638			−0.0814722
$352$	3.81308	−	10.5487i	0.203238	−	0.562248i
$353$	7.30786			0.388958			0.194479	−	0.980907i	$-0.437698\pi$
$353$	7.30786			0.388958			0.194479	+	0.980907i	$0.437698\pi$
$354$	0.171025	+	0.526362i	0.00908989	+	0.0279758i
$355$	0.377619	+	0.274356i	0.0200419	+	0.0145613i
$356$	5.64495	−	4.10130i	0.299182	−	0.217368i
$357$	0.0475677	−	0.146398i	0.00251755	−	0.00774822i
$358$	6.83862	−	21.0471i	0.361432	−	1.11237i
$359$	−28.6543	+	20.8186i	−1.51232	+	1.09876i	−0.547183	+	0.837013i	$0.684300\pi$
$359$	−28.6543	+	20.8186i	−1.51232	+	1.09876i	−0.965136	+	0.261750i	$0.915700\pi$
$360$	−0.616094	−	0.447618i	−0.0324710	−	0.0235916i
$361$	−0.721916	−	2.22183i	−0.0379956	−	0.116938i
$362$	−19.6916			−1.03497
$363$	0.308781	+	1.21558i	0.0162068	+	0.0638014i
$364$	−1.86577			−0.0977930
$365$	−0.240085	−	0.738906i	−0.0125666	−	0.0386761i
$366$	−2.10914	−	1.53238i	−0.110246	−	0.0800986i
$367$	10.4109	−	7.56396i	0.543445	−	0.394836i	−0.281918	−	0.959438i	$-0.590971\pi$
$367$	10.4109	−	7.56396i	0.543445	−	0.394836i	0.825363	+	0.564603i	$0.190971\pi$
$368$	−3.27672	+	10.0847i	−0.170811	+	0.525702i
$369$	−8.22568	+	25.3160i	−0.428212	+	1.31790i
$370$	1.21102	−	0.879855i	0.0629578	−	0.0457415i
$371$	0.153932	+	0.111838i	0.00799177	+	0.00580636i
$372$	0.165602	+	0.509670i	0.00858605	+	0.0264251i
$373$	20.8312			1.07860			0.539299	−	0.842115i	$-0.318689\pi$
$373$	20.8312			1.07860			0.539299	+	0.842115i	$0.318689\pi$
$374$	1.82429	−	5.04681i	0.0943319	−	0.260965i
$375$	0.129829			0.00670436
$376$	−6.80347	−	20.9389i	−0.350862	−	1.07984i
$377$	1.30318	+	0.946817i	0.0671173	+	0.0487636i
$378$	1.20638	−	0.876487i	0.0620495	−	0.0450816i
$379$	6.27337	−	19.3075i	0.322242	−	0.991757i	−0.650429	−	0.759567i	$-0.725411\pi$
$379$	6.27337	−	19.3075i	0.322242	−	0.991757i	0.972670	−	0.232190i	$-0.0745892\pi$
$380$	−0.0888896	+	0.273574i	−0.00455994	+	0.0140341i
$381$	−0.440844	+	0.320292i	−0.0225851	+	0.0164091i
$382$	18.6593	+	13.5568i	0.954693	+	0.693625i
$383$	7.98782	+	24.5840i	0.408159	+	1.25618i	0.918229	+	0.396050i	$0.129619\pi$
$383$	7.98782	+	24.5840i	0.408159	+	1.25618i	−0.510070	+	0.860133i	$0.670381\pi$
$384$	−1.55268			−0.0792351
$385$	0.510263	+	0.0166919i	0.0260054	+	0.000850697i
$386$	17.1884			0.874865
$387$	−8.99586	−	27.6864i	−0.457285	−	1.40738i
$388$	1.26795	+	0.921219i	0.0643704	+	0.0467678i
$389$	−29.4405	+	21.3897i	−1.49269	+	1.08450i	−0.519509	+	0.854465i	$0.673885\pi$
$389$	−29.4405	+	21.3897i	−1.49269	+	1.08450i	−0.973182	+	0.230038i	$0.926115\pi$
$390$	0.0145343	−	0.0447318i	0.000735971	−	0.00226508i
$391$	−0.675042	+	2.07757i	−0.0341384	+	0.105067i
$392$	9.36577	−	6.80463i	0.473043	−	0.343686i
$393$	−0.224933	−	0.163423i	−0.0113463	−	0.00824360i
$394$	7.43690	+	22.8884i	0.374666	+	1.15310i
$395$	1.72427			0.0867576
$396$	5.06839	−	3.43497i	0.254696	−	0.172614i
$397$	−3.85907			−0.193681			−0.0968405	−	0.995300i	$-0.530874\pi$
$397$	−3.85907			−0.193681			−0.0968405	+	0.995300i	$0.530874\pi$
$398$	11.9904	+	36.9025i	0.601022	+	1.84976i
$399$	0.508364	+	0.369348i	0.0254500	+	0.0184905i
$400$	−19.5842	+	14.2288i	−0.979210	+	0.711438i
$401$	2.82176	−	8.68449i	0.140912	−	0.433683i	−0.855551	−	0.517719i	$-0.826781\pi$
$401$	2.82176	−	8.68449i	0.140912	−	0.433683i	0.996463	+	0.0840364i	$0.0267812\pi$
$402$	−0.310759	+	0.956417i	−0.0154992	+	0.0477017i
$403$	−13.7576	+	9.99551i	−0.685317	+	0.497912i
$404$	−3.46008	−	2.51390i	−0.172146	−	0.125071i
$405$	−0.312982	−	0.963259i	−0.0155522	−	0.0478647i
$406$	−1.57366			−0.0780995
$407$	−7.47476	−	25.8522i	−0.370510	−	1.28145i
$408$	−0.254949			−0.0126219
$409$	6.18558	+	19.0372i	0.305857	+	0.941331i	0.979356	+	0.202143i	$0.0647906\pi$
$409$	6.18558	+	19.0372i	0.305857	+	0.941331i	−0.673499	+	0.739188i	$0.735209\pi$
$410$	−1.33005	−	0.966339i	−0.0656865	−	0.0477241i
$411$	1.20038	−	0.872125i	0.0592102	−	0.0430187i
$412$	0.351619	−	1.08217i	0.0173230	−	0.0533148i
$413$	1.25160	−	3.85202i	0.0615871	−	0.189546i
$414$	−8.54140	+	6.20569i	−0.419787	+	0.304993i
$415$	−0.276267	−	0.200719i	−0.0135614	−	0.00985293i
$416$	2.33688	+	7.19218i	0.114575	+	0.352626i
$417$	−1.03653			−0.0507589
$418$	17.2922	+	13.4488i	0.845789	+	0.657804i
$419$	8.94484			0.436984			0.218492	−	0.975839i	$-0.429886\pi$
$419$	8.94484			0.436984			0.218492	+	0.975839i	$0.429886\pi$
$420$	0.00335192	+	0.0103161i	0.000163557	+	0.000503376i
$421$	0.835933	+	0.607341i	0.0407409	+	0.0296000i	0.607969	−	0.793961i	$-0.291984\pi$
$421$	0.835933	+	0.607341i	0.0407409	+	0.0296000i	−0.567228	+	0.823560i	$0.691984\pi$
$422$	1.73673	−	1.26181i	0.0845429	−	0.0614240i
$423$	9.08825	−	27.9708i	0.441886	−	1.35999i
$424$	0.0973820	−	0.299711i	0.00472929	−	0.0145553i
$425$	−4.03457	+	2.93129i	−0.195705	+	0.142188i
$426$	0.611000	+	0.443918i	0.0296031	+	0.0215079i
$427$	5.89568	+	18.1450i	0.285312	+	0.878100i
$428$	−0.459644			−0.0222177
$429$	−0.667466	−	0.519115i	−0.0322256	−	0.0250631i
$430$	1.79797			0.0867056
$431$	7.49084	+	23.0544i	0.360821	+	1.11049i	0.952557	+	0.304361i	$0.0984430\pi$
$431$	7.49084	+	23.0544i	0.360821	+	1.11049i	−0.591736	+	0.806132i	$0.701557\pi$
$432$	−2.68068	−	1.94763i	−0.128974	−	0.0937052i
$433$	28.2414	−	20.5186i	1.35720	−	0.986061i	0.358579	−	0.933499i	$-0.383261\pi$
$433$	28.2414	−	20.5186i	1.35720	−	0.986061i	0.998618	−	0.0525622i	$-0.0167388\pi$
$434$	5.13372	−	15.8000i	0.246426	−	0.758423i
$435$	0.00289389	−	0.00890649i	0.000138752	−	0.000427034i
$436$	4.90822	−	3.56603i	0.235061	−	0.170782i
$437$	−7.21429	−	5.24149i	−0.345106	−	0.250734i
$438$	−0.388466	−	1.19558i	−0.0185616	−	0.0571268i
$439$	33.6360			1.60536			0.802679	−	0.596411i	$-0.203407\pi$
$439$	33.6360			1.60536			0.802679	+	0.596411i	$0.203407\pi$
$440$	−0.234864	−	0.812299i	−0.0111967	−	0.0387248i
$441$	15.4645			0.736405
$442$	1.11803	+	3.44095i	0.0531795	+	0.163670i
$443$	30.3994	+	22.0865i	1.44432	+	1.04936i	0.987118	+	0.159995i	$0.0511480\pi$
$443$	30.3994	+	22.0865i	1.44432	+	1.04936i	0.457201	+	0.889363i	$0.348852\pi$
$444$	0.462567	−	0.336075i	0.0219525	−	0.0159494i
$445$	0.397779	−	1.22424i	0.0188565	−	0.0580344i
$446$	4.59336	−	14.1369i	0.217502	−	0.669403i
$447$	−0.497182	+	0.361224i	−0.0235159	+	0.0170853i
$448$	4.62681	+	3.36157i	0.218596	+	0.158819i
$449$	−4.14908	−	12.7695i	−0.195807	−	0.602632i	−0.999966	−	0.00821797i	$-0.997384\pi$
$449$	−4.14908	−	12.7695i	−0.195807	−	0.602632i	0.804159	−	0.594414i	$-0.202616\pi$
$450$	−24.1025			−1.13620
$451$	−24.4668	+	16.5817i	−1.15210	+	0.780802i
$452$	−1.48017			−0.0696214
$453$	−0.542319	−	1.66909i	−0.0254804	−	0.0784205i
$454$	−5.93408	−	4.31136i	−0.278500	−	0.202342i
$455$	−0.278466	+	0.202318i	−0.0130547	+	0.00948480i
$456$	0.321606	−	0.989801i	0.0150606	−	0.0463517i
$457$	4.22446	−	13.0015i	0.197612	−	0.608186i	−0.802324	−	0.596888i	$-0.796404\pi$
$457$	4.22446	−	13.0015i	0.197612	−	0.608186i	0.999936	−	0.0112982i	$-0.00359641\pi$
$458$	−36.9650	+	26.8567i	−1.72726	+	1.25493i
$459$	−0.552250	−	0.401233i	−0.0257768	−	0.0187280i
$460$	−0.0475677	−	0.146398i	−0.00221786	−	0.00682586i
$461$	31.6616			1.47463			0.737313	−	0.675551i	$-0.236094\pi$
$461$	31.6616			1.47463			0.737313	+	0.675551i	$0.236094\pi$
$462$	0.825623	+	0.0270080i	0.0384115	+	0.00125653i
$463$	−1.33386			−0.0619899			−0.0309950	−	0.999520i	$-0.509868\pi$
$463$	−1.33386			−0.0619899			−0.0309950	+	0.999520i	$0.509868\pi$
$464$	1.08057	+	3.32566i	0.0501643	+	0.154390i
$465$	0.0799828	+	0.0581109i	0.00370911	+	0.00269483i
$466$	31.3900	−	22.8061i	1.45411	−	1.05647i
$467$	−9.56243	+	29.4301i	−0.442497	+	1.36186i	0.442709	+	0.896665i	$0.354017\pi$
$467$	−9.56243	+	29.4301i	−0.442497	+	1.36186i	−0.885206	+	0.465199i	$0.845983\pi$
$468$	−1.27560	+	3.92590i	−0.0589647	+	0.181475i
$469$	5.95392	−	4.32578i	0.274926	−	0.199746i
$470$	1.46953	+	1.06767i	0.0677841	+	0.0492481i
$471$	−0.112120	−	0.345070i	−0.00516622	−	0.0159000i
$472$	−6.70820			−0.308770
$473$	10.9883	−	30.3987i	0.505244	−	1.39773i
$474$	2.78993			0.128146
$475$	−6.29085	−	19.3612i	−0.288644	−	0.888355i
$476$	−0.675042	−	0.490447i	−0.0309405	−	0.0224796i
$477$	0.340568	−	0.247437i	0.0155935	−	0.0113294i
$478$	6.40238	−	19.7045i	0.292838	−	0.901263i
$479$	4.89223	−	15.0567i	0.223532	−	0.687960i	−0.774906	−	0.632077i	$-0.782203\pi$
$479$	4.89223	−	15.0567i	0.223532	−	0.687960i	0.998437	−	0.0558828i	$-0.0177973\pi$
$480$	0.0355684	−	0.0258420i	0.00162347	−	0.00117952i
$481$	14.6784	+	10.6645i	0.669277	+	0.486258i
$482$	−0.00335192	−	0.0103161i	−0.000152676	−	0.000469888i
$483$	−0.336263			−0.0153005
$484$	6.78384	+	0.444306i	0.308356	+	0.0201957i
$485$	0.289135			0.0131289
$486$	−1.53034	−	4.70991i	−0.0694178	−	0.213646i
$487$	−17.1618	−	12.4688i	−0.777677	−	0.565015i	0.126604	−	0.991953i	$-0.459592\pi$
$487$	−17.1618	−	12.4688i	−0.777677	−	0.565015i	−0.904281	+	0.426938i	$0.859592\pi$
$488$	25.5642	−	18.5735i	1.15724	−	0.840783i
$489$	−0.688500	+	2.11899i	−0.0311351	+	0.0958239i
$490$	−0.295148	+	0.908372i	−0.0133334	+	0.0410361i
$491$	−31.2414	+	22.6982i	−1.40991	+	1.02436i	−0.416570	+	0.909103i	$0.636768\pi$
$491$	−31.2414	+	22.6982i	−1.40991	+	1.02436i	−0.993336	+	0.115254i	$0.963232\pi$
$492$	−0.508034	−	0.369109i	−0.0229040	−	0.0166407i
$493$	0.222610	+	0.685123i	0.0100259	+	0.0308564i
$494$	−14.7693			−0.664502
$495$	0.383982	−	1.06227i	0.0172587	−	0.0477454i
$496$	−36.9156			−1.65756
$497$	−1.70793	−	5.25647i	−0.0766112	−	0.235785i
$498$	−0.447009	−	0.324771i	−0.0200309	−	0.0145533i
$499$	22.4109	−	16.2825i	1.00325	−	0.728904i	0.0404673	−	0.999181i	$-0.487115\pi$
$499$	22.4109	−	16.2825i	1.00325	−	0.728904i	0.962783	+	0.270277i	$0.0871154\pi$
$500$	0.217470	−	0.669303i	0.00972554	−	0.0299321i
$501$	−0.448085	+	1.37906i	−0.0200190	+	0.0616120i
$502$	−9.90105	+	7.19353i	−0.441906	+	0.321063i
$503$	−2.72589	−	1.98047i	−0.121541	−	0.0883049i	0.525354	−	0.850884i	$-0.323933\pi$
$503$	−2.72589	−	1.98047i	−0.121541	−	0.0883049i	−0.646895	+	0.762579i	$0.723933\pi$
$504$	2.78653	+	8.57606i	0.124122	+	0.382008i
$505$	−0.789016			−0.0351107
$506$	−11.7166	−	0.383276i	−0.520865	−	0.0170387i
$507$	−0.912135			−0.0405093
$508$	0.912753	+	2.80916i	0.0404969	+	0.124637i
$509$	−3.94058	−	2.86300i	−0.174663	−	0.126900i	0.497019	−	0.867740i	$-0.334428\pi$
$509$	−3.94058	−	2.86300i	−0.174663	−	0.126900i	−0.671682	+	0.740839i	$0.734428\pi$
$510$	0.0170170	−	0.0123636i	0.000753526	−	0.000547468i
$511$	−2.84287	+	8.74946i	−0.125761	+	0.387053i
$512$	1.63525	−	5.03280i	0.0722687	−	0.222420i
$513$	2.25436	−	1.63789i	0.0995324	−	0.0723145i
$514$	37.3240	+	27.1174i	1.64629	+	1.19610i
$515$	−0.0648678	−	0.199643i	−0.00285842	−	0.00879730i
$516$	0.686762			0.0302330
$517$	27.0325	−	18.3205i	1.18889	−	0.805736i
$518$	−17.7249			−0.778789
$519$	0.192880	+	0.593623i	0.00846648	+	0.0260571i
$520$	0.461208	+	0.335087i	0.0202253	+	0.0146945i
$521$	−23.8880	+	17.3557i	−1.04655	+	0.760365i	−0.971554	−	0.236819i	$-0.923895\pi$
$521$	−23.8880	+	17.3557i	−1.04655	+	0.760365i	−0.0749986	+	0.997184i	$0.523895\pi$
$522$	−1.07589	+	3.31125i	−0.0470904	+	0.144929i
$523$	−4.05726	+	12.4870i	−0.177412	+	0.546017i	−0.999735	−	0.0230029i	$-0.992677\pi$
$523$	−4.05726	+	12.4870i	−0.177412	+	0.546017i	0.822324	+	0.569020i	$0.192677\pi$
$524$	−1.21926	+	0.885843i	−0.0532635	+	0.0386982i
$525$	−0.621051	−	0.451220i	−0.0271049	−	0.0196928i
$526$	8.20915	+	25.2652i	0.357936	+	1.10161i
$527$	−7.60503			−0.331280
$528$	−0.509846	−	1.76336i	−0.0221882	−	0.0767402i
$529$	−18.2280			−0.792523
$530$	0.00803434	+	0.0247272i	0.000348989	+	0.00107408i
$531$	−7.24960	−	5.26714i	−0.314606	−	0.228575i
$532$	2.75561	−	2.00207i	0.119471	−	0.0868008i
$533$	6.15774	−	18.9516i	0.266721	−	0.820884i
$534$	0.643619	−	1.98086i	0.0278521	−	0.0857200i
$535$	−0.0686019	+	0.0498422i	−0.00296592	+	0.00215487i
$536$	−9.86114	−	7.16453i	−0.425936	−	0.309461i
$537$	−0.481892	−	1.48311i	−0.0207952	−	0.0640010i
$538$	−31.1899			−1.34469
$539$	13.5543	+	10.5417i	0.583824	+	0.454063i
$540$	0.0481016			0.00206996
$541$	−6.50013	−	20.0053i	−0.279462	−	0.860096i	−0.988004	−	0.154428i	$-0.950647\pi$
$541$	−6.50013	−	20.0053i	−0.279462	−	0.860096i	0.708542	−	0.705669i	$-0.249353\pi$
$542$	−5.38164	−	3.90999i	−0.231161	−	0.167948i
$543$	−1.12259	+	0.815606i	−0.0481747	+	0.0350010i
$544$	−1.04508	+	3.21644i	−0.0448076	+	0.137904i
$545$	0.345864	−	1.06446i	0.0148152	−	0.0455964i
$546$	−0.450568	+	0.327357i	−0.0192825	+	0.0140096i
$547$	−28.1558	−	20.4564i	−1.20386	−	0.874653i	−0.209198	−	0.977873i	$-0.567085\pi$
$547$	−28.1558	−	20.4564i	−1.20386	−	0.874653i	−0.994658	+	0.103221i	$0.967085\pi$
$548$	−2.48534	−	7.64909i	−0.106168	−	0.326753i
$549$	42.2110			1.80152
$550$	−21.1253	−	16.4300i	−0.900785	−	0.700576i
$551$	−2.94069			−0.125278
$552$	0.172102	+	0.529674i	0.00732513	+	0.0225444i
$553$	−16.5179	−	12.0010i	−0.702414	−	0.510334i
$554$	−10.7584	+	7.81642i	−0.457080	+	0.332088i
$555$	0.0325954	−	0.100318i	0.00138360	−	0.00425827i
$556$	−1.73623	+	5.34355i	−0.0736323	+	0.226617i
$557$	−9.95325	+	7.23146i	−0.421733	+	0.306407i	−0.778335	−	0.627850i	$-0.783935\pi$
$557$	−9.95325	+	7.23146i	−0.421733	+	0.306407i	0.356602	+	0.934256i	$0.383935\pi$
$558$	−29.7359	−	21.6044i	−1.25882	−	0.914588i
$559$	6.73430	+	20.7260i	0.284830	+	0.876618i
$560$	−0.747203			−0.0315751
$561$	−0.105034	−	0.363271i	−0.00443455	−	0.0153373i
$562$	15.3132			0.645950
$563$	−10.0421	−	30.9064i	−0.423224	−	1.30255i	−0.904685	−	0.426081i	$-0.859894\pi$
$563$	−10.0421	−	30.9064i	−0.423224	−	1.30255i	0.481461	−	0.876468i	$-0.340106\pi$
$564$	0.561309	+	0.407815i	0.0236354	+	0.0171721i
$565$	−0.220915	+	0.160504i	−0.00929398	+	0.00675247i
$566$	7.49363	−	23.0630i	0.314981	−	0.969411i
$567$	−3.70605	+	11.4061i	−0.155640	+	0.479009i
$568$	−7.40576	+	5.38060i	−0.310739	+	0.225765i
$569$	−29.2124	−	21.2241i	−1.22465	−	0.889759i	−0.228171	−	0.973621i	$-0.573275\pi$
$569$	−29.2124	−	21.2241i	−1.22465	−	0.889759i	−0.996477	+	0.0838618i	$0.973275\pi$
$570$	0.0265335	+	0.0816619i	0.00111137	+	0.00342044i
$571$	−4.82804			−0.202047			−0.101024	−	0.994884i	$-0.532212\pi$
$571$	−4.82804			−0.202047			−0.101024	+	0.994884i	$0.532212\pi$
$572$	−3.79420	+	2.57142i	−0.158643	+	0.107516i
$573$	1.62525			0.0678956
$574$	6.01569	+	18.5144i	0.251090	+	0.772775i
$575$	8.81345	+	6.40334i	0.367546	+	0.267038i
$576$	10.2366	−	7.43733i	0.426525	−	0.309889i
$577$	−2.47506	+	7.61745i	−0.103038	+	0.317119i	−0.989265	−	0.146133i	$-0.953317\pi$
$577$	−2.47506	+	7.61745i	−0.103038	+	0.317119i	0.886227	+	0.463251i	$0.153317\pi$
$578$	−0.500000	+	1.53884i	−0.0207973	+	0.0640074i
$579$	0.979882	−	0.711926i	0.0407225	−	0.0295866i
$580$	−0.0410678	−	0.0298375i	−0.00170525	−	0.00123893i
$581$	1.24953	+	3.84565i	0.0518391	+	0.159544i
$582$	0.467830			0.0193922
$583$	0.467170	+	0.0152822i	0.0193482	+	0.000632925i
$584$	15.2370			0.630511
$585$	0.235327	+	0.724262i	0.00972957	+	0.0299445i
$586$	−33.2219	−	24.1372i	−1.37239	−	0.997097i
$587$	−17.9301	+	13.0270i	−0.740055	+	0.537682i	−0.892728	−	0.450595i	$-0.851212\pi$
$587$	−17.9301	+	13.0270i	−0.740055	+	0.537682i	0.152673	+	0.988277i	$0.451212\pi$
$588$	−0.112736	+	0.346967i	−0.00464917	+	0.0143087i
$589$	9.59336	−	29.5253i	0.395288	−	1.21657i
$590$	0.447750	−	0.325309i	0.0184336	−	0.0133928i
$591$	1.37198	+	0.996804i	0.0564358	+	0.0410030i
$592$	12.1710	+	37.4586i	0.500226	+	1.53954i
$593$	−12.0337			−0.494164			−0.247082	−	0.968995i	$-0.579472\pi$
$593$	−12.0337			−0.494164			−0.247082	+	0.968995i	$0.579472\pi$
$594$	1.24530	−	3.44505i	0.0510951	−	0.141352i
$595$	−0.153932			−0.00631061
$596$	1.02940	+	3.16816i	0.0421658	+	0.129773i
$597$	2.21202	+	1.60712i	0.0905318	+	0.0657752i
$598$	6.39409	−	4.64558i	0.261474	−	0.189972i
$599$	10.9755	−	33.7792i	0.448448	−	1.38018i	−0.430209	−	0.902729i	$-0.641560\pi$
$599$	10.9755	−	33.7792i	0.448448	−	1.38018i	0.878658	−	0.477452i	$-0.158440\pi$
$600$	−0.392894	+	1.20920i	−0.0160398	+	0.0493656i
$601$	−8.28082	+	6.01637i	−0.337782	+	0.245413i	−0.743725	−	0.668485i	$-0.766943\pi$
$601$	−8.28082	+	6.01637i	−0.337782	+	0.245413i	0.405944	+	0.913898i	$0.366943\pi$
$602$	−17.2239	−	12.5139i	−0.701993	−	0.510028i
$603$	−5.03155	−	15.4855i	−0.204901	−	0.630619i
$604$	−9.51297			−0.387077
$605$	1.06067	−	0.669303i	0.0431222	−	0.0272110i
$606$	−1.27665			−0.0518605
$607$	0.608103	+	1.87155i	0.0246821	+	0.0759638i	0.962639	−	0.270789i	$-0.0872844\pi$
$607$	0.608103	+	1.87155i	0.0246821	+	0.0759638i	−0.937957	+	0.346752i	$0.887284\pi$
$608$	−11.1690	−	8.11475i	−0.452963	−	0.329097i
$609$	−0.0897119	+	0.0651795i	−0.00363531	+	0.00264121i
$610$	−0.805618	+	2.47944i	−0.0326185	+	0.100390i
$611$	−6.80347	+	20.9389i	−0.275239	+	0.847098i
$612$	−1.49350	+	1.08509i	−0.0603712	+	0.0438622i
$613$	−1.37700	−	1.00045i	−0.0556165	−	0.0404078i	0.559630	−	0.828743i	$-0.310943\pi$
$613$	−1.37700	−	1.00045i	−0.0556165	−	0.0404078i	−0.615246	+	0.788335i	$0.710943\pi$
$614$	14.5314	+	44.7230i	0.586438	+	1.80487i
$615$	−0.115849			−0.00467148
$616$	−3.40371	+	9.41620i	−0.137139	+	0.379390i
$617$	−0.969093			−0.0390142			−0.0195071	−	0.999810i	$-0.506210\pi$
$617$	−0.969093			−0.0390142			−0.0195071	+	0.999810i	$0.506210\pi$
$618$	−0.104958	−	0.323028i	−0.00422204	−	0.0129941i
$619$	−20.5351	−	14.9196i	−0.825376	−	0.599671i	0.0928716	−	0.995678i	$-0.470395\pi$
$619$	−20.5351	−	14.9196i	−0.825376	−	0.599671i	−0.918247	+	0.396008i	$0.870395\pi$
$620$	0.433551	−	0.314993i	0.0174118	−	0.0126504i
$621$	−0.460797	+	1.41819i	−0.0184911	+	0.0569098i
$622$	4.12747	−	12.7031i	0.165497	−	0.509346i
$623$	−12.3313	+	8.95921i	−0.494043	+	0.358943i
$624$	1.00120	+	0.727414i	0.0400800	+	0.0291199i
$625$	7.66522	+	23.5911i	0.306609	+	0.943645i
$626$	45.8786			1.83368
$627$	1.54284	+	0.0504698i	0.0616150	+	0.00201557i
$628$	−1.96673			−0.0784811
$629$	2.50737	+	7.71689i	0.0999754	+	0.307692i
$630$	−0.601881	−	0.437292i	−0.0239795	−	0.0174221i
$631$	−10.3317	+	7.50645i	−0.411300	+	0.298827i	−0.774128	−	0.633029i	$-0.781811\pi$
$631$	−10.3317	+	7.50645i	−0.411300	+	0.298827i	0.362828	+	0.931856i	$0.381811\pi$
$632$	−10.4497	+	32.1609i	−0.415667	+	1.27929i
$633$	0.0467454	−	0.143868i	0.00185796	−	0.00571822i
$634$	17.2934	−	12.5644i	0.686809	−	0.498996i
$635$	0.440844	+	0.320292i	0.0174944	+	0.0127104i
$636$	0.00306884	+	0.00944493i	0.000121688	+	0.000374516i
$637$	−11.5767			−0.458687
$638$	−3.20017	+	2.16883i	−0.126696	+	0.0858647i
$639$	−12.2282			−0.483740
$640$	0.479806	+	1.47669i	0.0189660	+	0.0583713i
$641$	−11.5039	−	8.35806i	−0.454376	−	0.330124i	0.336945	−	0.941524i	$-0.390606\pi$
$641$	−11.5039	−	8.35806i	−0.454376	−	0.330124i	−0.791321	+	0.611401i	$0.790606\pi$
$642$	−0.111000	+	0.0806464i	−0.00438083	+	0.00318286i
$643$	−4.78827	+	14.7368i	−0.188831	+	0.581162i	−0.999993	−	0.00365928i	$-0.998835\pi$
$643$	−4.78827	+	14.7368i	−0.188831	+	0.581162i	0.811162	+	0.584821i	$0.198835\pi$
$644$	−0.563254	+	1.73352i	−0.0221953	+	0.0683102i
$645$	0.102499	−	0.0744700i	0.00403590	−	0.00293225i
$646$	−5.34358	−	3.88234i	−0.210241	−	0.152749i
$647$	−10.7066	−	32.9514i	−0.420918	−	1.29545i	−0.906849	−	0.421456i	$-0.861519\pi$
$647$	−10.7066	−	32.9514i	−0.420918	−	1.29545i	0.485931	−	0.873997i	$-0.338481\pi$
$648$	19.8634			0.780307
$649$	−2.76365	−	9.55836i	−0.108483	−	0.375198i
$650$	18.0431			0.707710
$651$	−0.361754	−	1.11336i	−0.0141783	−	0.0436362i
$652$	9.77064	+	7.09878i	0.382648	+	0.278010i
$653$	32.1308	−	23.3444i	1.25737	−	0.913536i	0.258749	−	0.965945i	$-0.416690\pi$
$653$	32.1308	−	23.3444i	1.25737	−	0.913536i	0.998626	+	0.0524087i	$0.0166898\pi$
$654$	0.559619	−	1.72233i	0.0218828	−	0.0673485i
$655$	−0.0859166	+	0.264424i	−0.00335704	+	0.0103319i
$656$	34.9962	−	25.4262i	1.36637	−	0.992727i
$657$	16.4667	+	11.9638i	0.642428	+	0.466751i
$658$	−6.64651	−	20.4559i	−0.259108	−	0.797453i
$659$	13.4076			0.522286			0.261143	−	0.965300i	$-0.415901\pi$
$659$	13.4076			0.522286			0.261143	+	0.965300i	$0.415901\pi$
$660$	0.0210342	+	0.0163591i	0.000818754	+	0.000636777i
$661$	19.6628			0.764795			0.382397	−	0.923998i	$-0.375099\pi$
$661$	19.6628			0.764795			0.382397	+	0.923998i	$0.375099\pi$
$662$	1.95914	+	6.02960i	0.0761440	+	0.234347i
$663$	0.206258	+	0.149855i	0.00801041	+	0.00581990i
$664$	5.41807	−	3.93646i	0.210262	−	0.152764i
$665$	0.194178	−	0.597618i	0.00752990	−	0.0231746i
$666$	−12.1183	+	37.2962i	−0.469574	+	1.44520i
$667$	1.27312	−	0.924975i	0.0492953	−	0.0358152i
$668$	6.35886	+	4.61998i	0.246032	+	0.178752i
$669$	−0.323677	−	0.996176i	−0.0125141	−	0.0385144i
$670$	1.00564			0.0388511
$671$	36.9969	+	28.7740i	1.42825	+	1.11081i
$672$	−0.520594			−0.0200824
$673$	11.7508	+	36.1651i	0.452958	+	1.39406i	0.873515	+	0.486797i	$0.161835\pi$
$673$	11.7508	+	36.1651i	0.452958	+	1.39406i	−0.420557	+	0.907266i	$0.638165\pi$
$674$	24.2298	+	17.6040i	0.933296	+	0.678079i
$675$	−2.75407	+	2.00095i	−0.106004	+	0.0770166i
$676$	−1.52786	+	4.70228i	−0.0587640	+	0.180857i
$677$	4.64109	−	14.2838i	0.178372	−	0.548971i	−0.821400	−	0.570353i	$-0.806806\pi$
$677$	4.64109	−	14.2838i	0.178372	−	0.548971i	0.999771	+	0.0213816i	$0.00680649\pi$
$678$	−0.357449	+	0.259702i	−0.0137277	+	0.00997378i
$679$	−2.76981	−	2.01239i	−0.106296	−	0.0772283i
$680$	0.0787837	+	0.242471i	0.00302122	+	0.00929835i
$681$	−0.516865			−0.0198063
$682$	−11.3358	−	39.2059i	−0.434068	−	1.50127i
$683$	−4.29629			−0.164393			−0.0821965	−	0.996616i	$-0.526194\pi$
$683$	−4.29629			−0.164393			−0.0821965	+	0.996616i	$0.526194\pi$
$684$	−2.32872	−	7.16707i	−0.0890409	−	0.274040i
$685$	−1.20038	−	0.872125i	−0.0458640	−	0.0333222i
$686$	21.5207	−	15.6357i	0.821664	−	0.596974i
$687$	−0.994941	+	3.06211i	−0.0379594	+	0.116827i
$688$	−14.6190	+	44.9925i	−0.557342	+	1.71532i
$689$	−0.254949	+	0.185232i	−0.00971280	+	0.00705676i
$690$	−0.0371734	−	0.0270080i	−0.00141517	−	0.00102818i
$691$	−13.3121	−	40.9705i	−0.506417	−	1.55859i	−0.798375	−	0.602161i	$-0.794306\pi$
$691$	−13.3121	−	40.9705i	−0.506417	−	1.55859i	0.291957	−	0.956431i	$-0.405694\pi$
$692$	3.38335			0.128616
$693$	−11.0718	+	7.50363i	−0.420584	+	0.285039i
$694$	32.4485			1.23173
$695$	0.320304	+	0.985795i	0.0121498	+	0.0373933i
$696$	0.148585	+	0.107953i	0.00563209	+	0.00409195i
$697$	7.20961	−	5.23809i	0.273083	−	0.198407i
$698$	9.11422	−	28.0507i	0.344978	−	1.06173i
$699$	0.844883	−	2.60028i	0.0319564	−	0.0983517i
$700$	−3.36644	+	2.44586i	−0.127239	+	0.0924448i
$701$	11.4391	+	8.31099i	0.432049	+	0.313902i	0.782468	−	0.622691i	$-0.213961\pi$
$701$	11.4391	+	8.31099i	0.432049	+	0.313902i	−0.350419	+	0.936593i	$0.613961\pi$
$702$	0.763191	+	2.34886i	0.0288048	+	0.0886520i
$703$	−33.1225			−1.24924
$704$	14.0419	+	0.459344i	0.529225	+	0.0173122i
$705$	0.127997			0.00482066
$706$	−3.65393	−	11.2456i	−0.137518	−	0.423236i
$707$	7.55850	+	5.49157i	0.284266	+	0.206532i
$708$	0.171025	−	0.124257i	0.00642752	−	0.00466987i
$709$	−4.75360	+	14.6301i	−0.178525	+	0.549444i	−0.999777	−	0.0211219i	$-0.993276\pi$
$709$	−4.75360	+	14.6301i	−0.178525	+	0.549444i	0.821252	+	0.570566i	$0.193276\pi$
$710$	0.233381	−	0.718274i	0.00875864	−	0.0269563i
$711$	−36.5452	+	26.5516i	−1.37055	+	0.995763i
$712$	20.4236	+	14.8386i	0.765408	+	0.556101i
$713$	5.13372	+	15.8000i	0.192259	+	0.591713i
$714$	−0.249068			−0.00932113
$715$	−0.287449	+	0.795213i	−0.0107500	+	0.0297393i
$716$	−8.45300			−0.315903
$717$	−0.451152	−	1.38850i	−0.0168486	−	0.0518546i
$718$	46.3637	+	33.6852i	1.73028	+	1.25712i
$719$	−4.28430	+	3.11273i	−0.159777	+	0.116085i	−0.664801	−	0.747020i	$-0.731484\pi$
$719$	−4.28430	+	3.11273i	−0.159777	+	0.116085i	0.505024	+	0.863105i	$0.331484\pi$
$720$	−0.510852	+	1.57224i	−0.0190383	+	0.0585940i
$721$	−0.768106	+	2.36399i	−0.0286058	+	0.0880395i
$722$	−3.05808	+	2.22183i	−0.113810	+	0.0826879i
$723$	−0.000618373	0	0.000449274i	−2.29975e−5	0	1.67087e-5i
$724$	2.32427	+	7.15338i	0.0863810	+	0.265853i
$725$	3.59254			0.133424
$726$	1.71619	−	1.08295i	0.0636940	−	0.0401922i
$727$	−24.5878			−0.911912			−0.455956	−	0.890002i	$-0.650703\pi$
$727$	−24.5878			−0.911912			−0.455956	+	0.890002i	$0.650703\pi$
$728$	−2.08600	−	6.42003i	−0.0773121	−	0.237942i
$729$	21.2776	+	15.4591i	0.788059	+	0.572558i
$730$	−1.01702	+	0.738906i	−0.0376415	+	0.0273481i
$731$	−3.01167	+	9.26897i	−0.111391	+	0.342825i
$732$	−0.307719	+	0.947061i	−0.0113736	+	0.0350044i
$733$	31.0487	−	22.5582i	1.14681	−	0.833206i	0.158756	−	0.987318i	$-0.449252\pi$
$733$	31.0487	−	22.5582i	1.14681	−	0.833206i	0.988053	+	0.154112i	$0.0492517\pi$
$734$	−16.8452	−	12.2388i	−0.621767	−	0.451741i
$735$	0.0207980	+	0.0640096i	0.000767145	+	0.00236103i
$736$	7.38785			0.272320
$737$	6.14598	−	17.0025i	0.226390	−	0.626297i
$738$	43.0702			1.58544
$739$	8.16816	+	25.1390i	0.300471	+	0.924754i	0.981329	+	0.192338i	$0.0616071\pi$
$739$	8.16816	+	25.1390i	0.300471	+	0.924754i	−0.680858	+	0.732415i	$0.738393\pi$
$740$	−0.462567	−	0.336075i	−0.0170043	−	0.0123544i
$741$	−0.841975	+	0.611730i	−0.0309307	+	0.0224725i
$742$	0.0951354	−	0.292797i	0.00349253	−	0.0107489i
$743$	12.5690	−	38.6834i	0.461112	−	1.41916i	−0.402695	−	0.915334i	$-0.631926\pi$
$743$	12.5690	−	38.6834i	0.461112	−	1.41916i	0.863807	−	0.503823i	$-0.168074\pi$
$744$	−1.56860	+	1.13966i	−0.0575077	+	0.0417818i
$745$	0.497182	+	0.361224i	0.0182153	+	0.0132342i
$746$	−10.4156	−	32.0559i	−0.381342	−	1.17365i
$747$	8.94617			0.327323
$748$	−2.04869	−	0.0670174i	−0.0749076	−	0.00245040i
$749$	1.00409			0.0366885
$750$	−0.0649147	−	0.199787i	−0.00237035	−	0.00729518i
$751$	−10.1073	−	7.34336i	−0.368819	−	0.267963i	0.387902	−	0.921701i	$-0.373200\pi$
$751$	−10.1073	−	7.34336i	−0.368819	−	0.267963i	−0.756721	+	0.653738i	$0.773200\pi$
$752$	−38.6660	+	28.0925i	−1.41000	+	1.02443i
$753$	−0.266494	+	0.820184i	−0.00971158	+	0.0298892i
$754$	0.805411	−	2.47880i	0.0293313	−	0.0902726i
$755$	−1.41981	+	1.03155i	−0.0516722	+	0.0375420i
$756$	−0.460797	−	0.334788i	−0.0167590	−	0.0121761i
$757$	−8.83427	−	27.1891i	−0.321087	−	0.988204i	−0.973176	−	0.230062i	$-0.926107\pi$
$757$	−8.83427	−	27.1891i	−0.321087	−	0.988204i	0.652089	−	0.758143i	$-0.273893\pi$
$758$	−32.8478			−1.19309
$759$	−0.683818	+	0.463439i	−0.0248210	+	0.0168218i
$760$	−1.04074			−0.0377515
$761$	0.853280	+	2.62612i	0.0309314	+	0.0951969i	0.965330	−	0.261031i	$-0.0840626\pi$
$761$	0.853280	+	2.62612i	0.0309314	+	0.0951969i	−0.934399	+	0.356228i	$0.884063\pi$
$762$	0.713301	+	0.518243i	0.0258402	+	0.0187740i
$763$	−10.7219	+	7.78993i	−0.388159	+	0.282014i
$764$	2.72236	−	8.37855i	0.0984914	−	0.303125i
$765$	−0.105241	+	0.323900i	−0.00380501	+	0.0117106i
$766$	33.8370	−	24.5840i	1.22258	−	0.888256i
$767$	5.42705	+	3.94298i	0.195959	+	0.142373i
$768$	0.477843	+	1.47065i	0.0172427	+	0.0530674i
$769$	18.6291			0.671784			0.335892	−	0.941901i	$-0.390962\pi$
$769$	18.6291			0.671784			0.335892	+	0.941901i	$0.390962\pi$
$770$	−0.229445	−	0.793560i	−0.00826864	−	0.0285979i
$771$	3.25096			0.117080
$772$	−2.02881	−	6.24404i	−0.0730186	−	0.224728i
$773$	0.293001	+	0.212877i	0.0105385	+	0.00765667i	0.593042	−	0.805172i	$-0.297927\pi$
$773$	0.293001	+	0.212877i	0.0105385	+	0.00765667i	−0.582504	+	0.812828i	$0.697927\pi$
$774$	−38.1071	+	27.6864i	−1.36973	+	0.995167i
$775$	−11.7199	+	36.0701i	−0.420990	+	1.29567i
$776$	−1.75226	+	5.39291i	−0.0629026	+	0.193594i
$777$	−1.01047	+	0.734150i	−0.0362504	+	0.0263375i
$778$	47.6357	+	34.6093i	1.70782	+	1.24080i
$779$	11.2415	+	34.5978i	0.402768	+	1.23959i
$780$	−0.0179653			−0.000643262
$781$	−10.7177	−	8.33559i	−0.383510	−	0.298271i
$782$	3.53457			0.126396
$783$	0.151958	+	0.467678i	0.00543053	+	0.0167135i
$784$	−20.3314	−	14.7716i	−0.726122	−	0.527558i
$785$	−0.293534	+	0.213265i	−0.0104767	+	0.00761176i
$786$	−0.139016	+	0.427847i	−0.00495853	+	0.0152608i
$787$	12.4100	−	38.1940i	0.442368	−	1.36147i	−0.442976	−	0.896533i	$-0.646077\pi$
$787$	12.4100	−	38.1940i	0.442368	−	1.36147i	0.885344	−	0.464936i	$-0.153923\pi$
$788$	7.43690	−	5.40323i	0.264929	−	0.192482i
$789$	1.51445	+	1.10031i	0.0539158	+	0.0391722i
$790$	−0.862136	−	2.65338i	−0.0306734	−	0.0944031i
$791$	3.23341			0.114967
$792$	17.4862	+	13.5997i	0.621345	+	0.483245i
$793$	−31.5991			−1.12212
$794$	1.92953	+	5.93849i	0.0684766	+	0.210749i
$795$	0.00148220	+	0.00107688i	5.25682e−5	+	3.81930e-5i
$796$	11.9904	−	8.71150i	0.424987	−	0.308771i
$797$	−10.2511	+	31.5498i	−0.363114	+	1.11755i	0.588040	+	0.808832i	$0.299900\pi$
$797$	−10.2511	+	31.5498i	−0.363114	+	1.11755i	−0.951154	+	0.308718i	$0.900100\pi$
$798$	0.314186	−	0.966966i	0.0111221	−	0.0342302i
$799$	−7.96564	+	5.78737i	−0.281804	+	0.204743i
$800$	13.6448	+	9.91351i	0.482416	+	0.350495i
$801$	10.4210	+	32.0724i	0.368206	+	1.13322i
$802$	−14.7749			−0.521721
$803$	6.27734	+	21.7108i	0.221523	+	0.766158i
$804$	0.384119			0.0135468
$805$	0.103911	+	0.319805i	0.00366238	+	0.0112716i
$806$	22.2603	+	16.1731i	0.784086	+	0.569672i
$807$	−1.77808	+	1.29185i	−0.0625915	+	0.0454754i
$808$	4.78172	−	14.7166i	0.168220	−	0.517729i
$809$	−10.2762	+	31.6269i	−0.361293	+	1.11194i	0.590978	+	0.806688i	$0.298742\pi$
$809$	−10.2762	+	31.6269i	−0.361293	+	1.11194i	−0.952270	+	0.305256i	$0.901258\pi$
$810$	−1.32581	+	0.963259i	−0.0465843	+	0.0338455i
$811$	−25.0944	−	18.2322i	−0.881185	−	0.640218i	0.0523798	−	0.998627i	$-0.483319\pi$
$811$	−25.0944	−	18.2322i	−0.881185	−	0.640218i	−0.933565	+	0.358409i	$0.883319\pi$
$812$	0.185746	+	0.571666i	0.00651839	+	0.0200615i
$813$	−0.468746			−0.0164397
$814$	−36.0451	+	24.4286i	−1.26338	+	0.856222i
$815$	2.22803			0.0780446
$816$	0.171025	+	0.526362i	0.00598708	+	0.0184263i
$817$	−32.1862	−	23.3847i	−1.12605	−	0.818126i
$818$	26.2025	−	19.0372i	0.916150	−	0.665622i
$819$	2.78653	−	8.57606i	0.0973692	−	0.299672i
$820$	−0.194052	+	0.597230i	−0.00677658	+	0.0208562i
$821$	29.4657	−	21.4081i	1.02836	−	0.747148i	0.0603805	−	0.998175i	$-0.480769\pi$
$821$	29.4657	−	21.4081i	1.02836	−	0.747148i	0.967980	+	0.251028i	$0.0807686\pi$
$822$	−1.94225	−	1.41113i	−0.0677438	−	0.0492187i
$823$	−17.1983	−	52.9308i	−0.599493	−	1.84505i	−0.530950	−	0.847403i	$-0.678165\pi$
$823$	−17.1983	−	52.9308i	−0.599493	−	1.84505i	−0.0685434	−	0.997648i	$-0.521835\pi$
$824$	4.11683			0.143417
$825$	−1.88483	−	0.0616572i	−0.0656214	−	0.00214663i
$826$	−6.55345			−0.228024
$827$	−5.69827	−	17.5375i	−0.198148	−	0.609838i	−0.999925	−	0.0122147i	$-0.996112\pi$
$827$	−5.69827	−	17.5375i	−0.198148	−	0.609838i	0.801777	−	0.597623i	$-0.203888\pi$
$828$	3.26253	+	2.37036i	0.113381	+	0.0823758i
$829$	−46.3060	+	33.6433i	−1.60827	+	1.16848i	−0.739673	+	0.672967i	$0.765020\pi$
$829$	−46.3060	+	33.6433i	−1.60827	+	1.16848i	−0.868601	+	0.495513i	$0.834980\pi$
$830$	−0.170742	+	0.525490i	−0.00592655	+	0.0182400i
$831$	−0.289569	+	0.891203i	−0.0100451	+	0.0309155i
$832$	−7.66312	+	5.56758i	−0.265671	+	0.193021i
$833$	−4.18850	−	3.04312i	−0.145123	−	0.105438i
$834$	0.518263	+	1.59505i	0.0179460	+	0.0552320i
$835$	1.45003			0.0501805
$836$	2.84450	−	7.86918i	0.0983792	−	0.272161i
$837$	−5.19134			−0.179439
$838$	−4.47242	−	13.7647i	−0.154497	−	0.475493i
$839$	14.6235	+	10.6246i	0.504858	+	0.366801i	0.810869	−	0.585227i	$-0.198995\pi$
$839$	14.6235	+	10.6246i	0.504858	+	0.366801i	−0.306012	+	0.952028i	$0.598995\pi$
$840$	−0.0317498	+	0.0230676i	−0.00109547	+	0.000795908i
$841$	−8.80113	+	27.0871i	−0.303487	+	0.934038i
$842$	0.516635	−	1.59004i	0.0178044	−	0.0547963i
$843$	0.872983	−	0.634260i	0.0300671	−	0.0218451i
$844$	−0.663373	−	0.481969i	−0.0228342	−	0.0165900i
$845$	0.281865	+	0.867492i	0.00969645	+	0.0298426i
$846$	−47.5867			−1.63606
$847$	−14.8192	−	0.970578i	−0.509193	−	0.0333495i
$848$	−0.684101			−0.0234921
$849$	−0.528048	−	1.62516i	−0.0181226	−	0.0557755i
$850$	6.52807	+	4.74292i	0.223911	+	0.162681i
$851$	14.3398	−	10.4185i	0.491561	−	0.357140i
$852$	0.0891437	−	0.274356i	0.00305401	−	0.00939929i
$853$	−6.16299	+	18.9677i	−0.211017	+	0.649443i	0.788396	+	0.615168i	$0.210912\pi$
$853$	−6.16299	+	18.9677i	−0.211017	+	0.649443i	−0.999412	+	0.0342744i	$0.989088\pi$
$854$	24.9745	−	18.1450i	0.854610	−	0.620910i
$855$	−1.12473	−	0.817166i	−0.0384650	−	0.0279465i
$856$	−0.513898	−	1.58162i	−0.0175647	−	0.0540585i
$857$	−35.2341			−1.20358			−0.601788	−	0.798656i	$-0.705545\pi$
$857$	−35.2341			−1.20358			−0.601788	+	0.798656i	$0.705545\pi$
$858$	−0.465102	+	1.28668i	−0.0158783	+	0.0439266i
$859$	−57.1169			−1.94880			−0.974401	−	0.224815i	$-0.927822\pi$
$859$	−57.1169			−1.94880			−0.974401	+	0.224815i	$0.927822\pi$
$860$	−0.212221	−	0.653149i	−0.00723668	−	0.0222722i
$861$	1.10979	+	0.806311i	0.0378216	+	0.0274790i
$862$	31.7317	−	23.0544i	1.08079	−	0.785237i
$863$	−7.14873	+	22.0015i	−0.243346	+	0.748941i	0.752559	+	0.658525i	$0.228819\pi$
$863$	−7.14873	+	22.0015i	−0.243346	+	0.748941i	−0.995904	+	0.0904154i	$0.971181\pi$
$864$	−0.713395	+	2.19560i	−0.0242702	+	0.0746959i
$865$	0.504965	−	0.366879i	0.0171693	−	0.0124743i
$866$	−45.6956	−	33.1998i	−1.55280	−	1.12818i
$867$	0.0352331	+	0.108436i	0.00119658	+	0.00368269i
$868$	−6.34563			−0.215385
$869$	−50.1304	−	1.63988i	−1.70056	−	0.0556291i
$870$	−0.0151526			−0.000513722
$871$	3.76662	+	11.5925i	0.127627	+	0.392796i
$872$	17.7581	+	12.9020i	0.601365	+	0.436917i
$873$	−6.12808	+	4.45231i	−0.207404	+	0.150688i
$874$	−4.45868	+	13.7224i	−0.150817	+	0.464167i
$875$	−0.475059	+	1.46208i	−0.0160599	+	0.0494273i
$876$	−0.388466	+	0.282237i	−0.0131250	+	0.00953591i
$877$	42.1680	+	30.6369i	1.42391	+	1.03453i	0.991110	+	0.133045i	$0.0424755\pi$
$877$	42.1680	+	30.6369i	1.42391	+	1.03453i	0.432803	+	0.901488i	$0.357524\pi$
$878$	−16.8180	−	51.7605i	−0.567580	−	1.74683i
$879$	−2.89367			−0.0976010
$880$	−1.51950	+	1.02980i	−0.0512223	+	0.0347145i
$881$	41.0757			1.38388			0.691938	−	0.721957i	$-0.256757\pi$
$881$	41.0757			1.38388			0.691938	+	0.721957i	$0.256757\pi$
$882$	−7.73225	−	23.7974i	−0.260359	−	0.801301i
$883$	6.36648	+	4.62552i	0.214249	+	0.155661i	0.689734	−	0.724063i	$-0.257727\pi$
$883$	6.36648	+	4.62552i	0.214249	+	0.155661i	−0.475485	+	0.879724i	$0.657727\pi$
$884$	1.11803	−	0.812299i	0.0376036	−	0.0273206i
$885$	0.0120515	−	0.0370907i	0.000405107	−	0.00124679i
$886$	18.7879	−	57.8231i	0.631190	−	1.94260i
$887$	−5.56497	+	4.04319i	−0.186853	+	0.135757i	−0.677279	−	0.735726i	$-0.736841\pi$
$887$	−5.56497	+	4.04319i	−0.186853	+	0.135757i	0.490426	+	0.871483i	$0.336841\pi$
$888$	1.67358	+	1.21593i	0.0561618	+	0.0408039i
$889$	−1.99389	−	6.13657i	−0.0668730	−	0.205814i
$890$	−2.08280			−0.0698155
$891$	8.18332	+	28.3028i	0.274152	+	0.948181i
$892$	−5.67771			−0.190104
$893$	−12.4203	−	38.2258i	−0.415630	−	1.27918i
$894$	0.804457	+	0.584472i	0.0269051	+	0.0195477i
$895$	−1.26161	+	0.916613i	−0.0421710	+	0.0306390i
$896$	5.68143	−	17.4857i	0.189803	−	0.584155i
$897$	0.172102	−	0.529674i	0.00574631	−	0.0176853i
$898$	−17.5758	+	12.7695i	−0.586511	+	0.426125i
$899$	4.43222	+	3.22020i	0.147823	+	0.107400i
$900$	2.84492	+	8.75575i	0.0948305	+	0.291858i
$901$	−0.140933			−0.00469514
$902$	37.7500	+	29.3597i	1.25694	+	0.977570i
$903$	−1.50022			−0.0499242
$904$	−1.65488	−	5.09320i	−0.0550405	−	0.169397i
$905$	1.12259	+	0.815606i	0.0373160	+	0.0271117i
$906$	−2.29730	+	1.66909i	−0.0763227	+	0.0554517i
$907$	−5.06064	+	15.5751i	−0.168036	+	0.517161i	−0.999247	−	0.0387953i	$-0.987648\pi$
$907$	−5.06064	+	15.5751i	−0.168036	+	0.517161i	0.831211	+	0.555957i	$0.187648\pi$
$908$	−0.865771	+	2.66457i	−0.0287316	+	0.0884269i
$909$	16.7228	−	12.1498i	0.554661	−	0.402985i
$910$	0.450568	+	0.327357i	0.0149362	+	0.0108518i
$911$	−10.5428	−	32.4475i	−0.349300	−	1.07503i	−0.959241	−	0.282588i	$-0.908807\pi$
$911$	−10.5428	−	32.4475i	−0.349300	−	1.07503i	0.609942	−	0.792446i	$-0.291193\pi$
$912$	−2.25925			−0.0748114
$913$	7.84110	+	6.09833i	0.259503	+	0.201825i
$914$	−22.1195			−0.731649
$915$	0.0567689	+	0.174717i	0.00187672	+	0.00577596i
$916$	14.1194	+	10.2583i	0.466518	+	0.338945i
$917$	2.66345	−	1.93511i	0.0879548	−	0.0639029i
$918$	−0.341309	+	1.05044i	−0.0112649	+	0.0346698i
$919$	−4.36846	+	13.4447i	−0.144102	+	0.443501i	−0.996894	−	0.0787494i	$-0.974907\pi$
$919$	−4.36846	+	13.4447i	−0.144102	+	0.443501i	0.852792	+	0.522250i	$0.174907\pi$
$920$	0.450568	−	0.327357i	0.0148548	−	0.0107926i
$921$	2.68079	+	1.94771i	0.0883351	+	0.0641792i
$922$	−15.8308	−	48.7222i	−0.521359	−	1.60458i
$923$	9.15403			0.301308
$924$	−0.0876403	−	0.303113i	−0.00288315	−	0.00997168i
$925$	40.4646			1.33047
$926$	0.666932	+	2.05261i	0.0219168	+	0.0674528i
$927$	4.44909	+	3.23245i	0.146127	+	0.106168i
$928$	1.97101	−	1.43202i	0.0647017	−	0.0470085i
$929$	15.8825	−	48.8814i	0.521089	−	1.60375i	−0.250834	−	0.968030i	$-0.580705\pi$
$929$	15.8825	−	48.8814i	0.521089	−	1.60375i	0.771923	−	0.635717i	$-0.219295\pi$
$930$	0.0494321	−	0.152136i	0.00162094	−	0.00498875i
$931$	17.0980	−	12.4224i	0.560365	−	0.407129i
$932$	−11.9899	−	8.71117i	−0.392742	−	0.285344i
$933$	−0.290848	−	0.895137i	−0.00952193	−	0.0293055i
$934$	50.0695			1.63833
$935$	−0.313034	+	0.212150i	−0.0102373	+	0.00693806i
$936$	−14.9350			−0.488166
$937$	−5.15552	−	15.8671i	−0.168424	−	0.518355i	0.830849	−	0.556499i	$-0.187856\pi$
$937$	−5.15552	−	15.8671i	−0.168424	−	0.518355i	−0.999272	+	0.0381438i	$0.987856\pi$
$938$	−9.63364	−	6.99925i	−0.314550	−	0.228534i
$939$	2.61547	−	1.90025i	0.0853525	−	0.0620122i
$940$	0.214401	−	0.659858i	0.00699298	−	0.0215222i
$941$	13.8378	−	42.5884i	0.451100	−	1.38834i	−0.424554	−	0.905403i	$-0.639569\pi$
$941$	13.8378	−	42.5884i	0.451100	−	1.38834i	0.875654	−	0.482939i	$-0.160431\pi$
$942$	−0.474949	+	0.345070i	−0.0154747	+	0.0112430i
$943$	−15.7493	−	11.4425i	−0.512867	−	0.372620i
$944$	4.50000	+	13.8496i	0.146463	+	0.450765i
$945$	−0.105077			−0.00341816
$946$	−52.2729	−	1.70997i	−1.69954	−	0.0555958i
$947$	38.3100			1.24491			0.622453	−	0.782657i	$-0.286136\pi$
$947$	38.3100			1.24491			0.622453	+	0.782657i	$0.286136\pi$
$948$	−0.329307	−	1.01350i	−0.0106954	−	0.0329170i
$949$	−12.3270	−	8.95607i	−0.400151	−	0.290726i
$950$	−26.6485	+	19.3612i	−0.864590	+	0.628162i
$951$	0.465464	−	1.43255i	0.0150937	−	0.0464537i
$952$	0.932886	−	2.87113i	0.0302350	−	0.0930538i
$953$	25.1882	−	18.3003i	0.815925	−	0.592804i	−0.0996174	−	0.995026i	$-0.531762\pi$
$953$	25.1882	−	18.3003i	0.815925	−	0.592804i	0.915542	+	0.402222i	$0.131762\pi$
$954$	−0.551051	−	0.400362i	−0.0178409	−	0.0129622i
$955$	−0.502229	−	1.54570i	−0.0162517	−	0.0500177i
$956$	−7.91378			−0.255950
$957$	−0.0926058	+	0.256189i	−0.00299352	+	0.00828143i
$958$	−25.6160			−0.827617
$959$	5.42918	+	16.7093i	0.175317	+	0.539572i
$960$	0.0445511	+	0.0323683i	0.00143788	+	0.00104468i
$961$	−21.7112	+	15.7741i	−0.700362	+	0.508843i
$962$	9.07175	−	27.9200i	0.292485	−	0.900176i
$963$	0.686479	−	2.11276i	0.0221215	−	0.0680829i
$964$	−0.00335192	+	0.00243531i	−0.000107958	+	7.84361e-5i
$965$	−0.979882	−	0.711926i	−0.0315435	−	0.0229177i
$966$	0.168131	+	0.517455i	0.00540954	+	0.0166488i
$967$	0.783542			0.0251970			0.0125985	−	0.999921i	$-0.495990\pi$
$967$	0.783542			0.0251970			0.0125985	+	0.999921i	$0.495990\pi$
$968$	6.05573	+	23.8396i	0.194638	+	0.766235i
$969$	−0.465432			−0.0149518
$970$	−0.144568	−	0.444933i	−0.00464178	−	0.0142859i
$971$	13.4626	+	9.78117i	0.432036	+	0.313893i	0.782463	−	0.622698i	$-0.213963\pi$
$971$	13.4626	+	9.78117i	0.432036	+	0.313893i	−0.350426	+	0.936590i	$0.613963\pi$
$972$	−1.53034	+	1.11186i	−0.0490858	+	0.0356629i
$973$	3.79275	−	11.6729i	0.121590	−	0.374216i
$974$	−10.6066	+	32.6438i	−0.339857	+	1.04597i
$975$	1.02861	−	0.747329i	0.0329419	−	0.0239337i
$976$	−55.4954	−	40.3198i	−1.77636	−	1.29060i
$977$	−11.4656	−	35.2874i	−0.366816	−	1.12894i	−0.948836	−	0.315769i	$-0.897738\pi$
$977$	−11.4656	−	35.2874i	−0.366816	−	1.12894i	0.582021	−	0.813174i	$-0.302262\pi$
$978$	3.60503			0.115276
$979$	−12.7291	+	35.2144i	−0.406823	+	1.12546i
$980$	0.364823			0.0116538
$981$	9.06090	+	27.8866i	0.289292	+	0.890350i
$982$	50.5497	+	36.7265i	1.61311	+	1.17199i
$983$	18.9035	−	13.7342i	0.602929	−	0.438054i	−0.243988	−	0.969778i	$-0.578456\pi$
$983$	18.9035	−	13.7342i	0.602929	−	0.438054i	0.846917	+	0.531725i	$0.178456\pi$
$984$	0.702086	−	2.16080i	0.0223817	−	0.0688838i
$985$	0.524051	−	1.61286i	0.0166976	−	0.0513901i
$986$	0.942992	−	0.685123i	0.0300310	−	0.0218188i
$987$	−1.22617	−	0.890864i	−0.0390294	−	0.0283565i
$988$	1.74328	+	5.36526i	0.0554611	+	0.170692i
$989$	21.2899			0.676979
$990$	−1.82665	−	0.0597540i	−0.0580548	−	0.00189911i
$991$	−18.8619			−0.599167			−0.299584	−	0.954070i	$-0.596848\pi$
$991$	−18.8619			−0.599167			−0.299584	+	0.954070i	$0.596848\pi$
$992$	7.94791	+	24.4611i	0.252346	+	0.776642i
$993$	0.361427	+	0.262592i	0.0114696	+	0.00833312i
$994$	−7.23492	+	5.25647i	−0.229478	+	0.166725i
$995$	0.844915	−	2.60038i	0.0267856	−	0.0824377i
$996$	−0.0652177	+	0.200719i	−0.00206650	+	0.00636004i
$997$	8.81643	−	6.40551i	0.279219	−	0.202865i	−0.439358	−	0.898312i	$-0.644794\pi$
$997$	8.81643	−	6.40551i	0.279219	−	0.202865i	0.718577	+	0.695448i	$0.244794\pi$
$998$	−36.2616	−	26.3456i	−1.14784	−	0.833955i
$999$	1.71158	+	5.26769i	0.0541519	+	0.166662i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	187.2.g.d.137.1	yes	8
11.3	even	5		2057.2.a.q.1.2		4
11.8	odd	10		2057.2.a.t.1.4		4
11.9	even	5	inner	187.2.g.d.86.1	✓	8

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
187.2.g.d.86.1	✓	8	11.9	even	5	inner
187.2.g.d.137.1	yes	8	1.1	even	1	trivial
2057.2.a.q.1.2		4	11.3	even	5
2057.2.a.t.1.4		4	11.8	odd	10

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:	\( N \)	\(=\)	\( 187 = 11 \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	187.g (of order \(5\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.500000 - 1.53884i) q^{2} +(-0.0922415 - 0.0670174i) q^{3} +(-0.500000 + 0.363271i) q^{4} +(-0.0352331 + 0.108436i) q^{5} +(-0.0570084 + 0.175454i) q^{6} +(1.09224 - 0.793560i) q^{7} +(-1.80902 - 1.31433i) q^{8} +(-0.923034 - 2.84081i) q^{9} +O(q^{10})\)	\(q+(-0.500000 - 1.53884i) q^{2} +(-0.0922415 - 0.0670174i) q^{3} +(-0.500000 + 0.363271i) q^{4} +(-0.0352331 + 0.108436i) q^{5} +(-0.0570084 + 0.175454i) q^{6} +(1.09224 - 0.793560i) q^{7} +(-1.80902 - 1.31433i) q^{8} +(-0.923034 - 2.84081i) q^{9} +0.184483 q^{10} +(1.12747 - 3.11910i) q^{11} +0.0704663 q^{12} +(0.690983 + 2.12663i) q^{13} +(-1.76728 - 1.28401i) q^{14} +(0.0105171 - 0.00764111i) q^{15} +(-1.50000 + 4.61653i) q^{16} +(-0.309017 + 0.951057i) q^{17} +(-3.91003 + 2.84081i) q^{18} +(-3.30252 - 2.39942i) q^{19} +(-0.0217753 - 0.0670174i) q^{20} -0.153932 q^{21} +(-5.36354 - 0.175454i) q^{22} +2.18448 q^{23} +(0.0787837 + 0.242471i) q^{24} +(4.03457 + 2.93129i) q^{25} +(2.92705 - 2.12663i) q^{26} +(-0.210941 + 0.649209i) q^{27} +(-0.257843 + 0.793560i) q^{28} +(0.582801 - 0.423430i) q^{29} +(-0.0170170 - 0.0123636i) q^{30} +(2.35008 + 7.23282i) q^{31} +3.38197 q^{32} +(-0.313034 + 0.212150i) q^{33} +1.61803 q^{34} +(0.0475677 + 0.146398i) q^{35} +(1.49350 + 1.08509i) q^{36} +(6.56438 - 4.76930i) q^{37} +(-2.04107 + 6.28176i) q^{38} +(0.0787837 - 0.242471i) q^{39} +(0.206258 - 0.149855i) q^{40} +(-7.20961 - 5.23809i) q^{41} +(0.0769662 + 0.236878i) q^{42} +9.74597 q^{43} +(0.569343 + 1.96913i) q^{44} +0.340568 q^{45} +(-1.09224 - 3.36157i) q^{46} +(7.96564 + 5.78737i) q^{47} +(0.447750 - 0.325309i) q^{48} +(-1.59986 + 4.92388i) q^{49} +(2.49350 - 7.67420i) q^{50} +(0.0922415 - 0.0670174i) q^{51} +(-1.11803 - 0.812299i) q^{52} +(0.0435505 + 0.134035i) q^{53} +1.10450 q^{54} +(0.298500 + 0.232155i) q^{55} -3.01888 q^{56} +(0.143826 + 0.442652i) q^{57} +(-0.942992 - 0.685123i) q^{58} +(2.42705 - 1.76336i) q^{59} +(-0.00248275 + 0.00764111i) q^{60} +(-4.36689 + 13.4399i) q^{61} +(9.95512 - 7.23282i) q^{62} +(-3.26253 - 2.37036i) q^{63} +(1.30902 + 4.02874i) q^{64} -0.254949 q^{65} +(0.482983 + 0.375635i) q^{66} +5.45110 q^{67} +(-0.190983 - 0.587785i) q^{68} +(-0.201500 - 0.146398i) q^{69} +(0.201500 - 0.146398i) q^{70} +(1.26506 - 3.89344i) q^{71} +(-2.06397 + 6.35224i) q^{72} +(-5.51279 + 4.00528i) q^{73} +(-10.6214 - 7.71689i) q^{74} +(-0.175708 - 0.540773i) q^{75} +2.52290 q^{76} +(-1.24372 - 4.30153i) q^{77} -0.412517 q^{78} +(-4.67325 - 14.3828i) q^{79} +(-0.447750 - 0.325309i) q^{80} +(-7.18664 + 5.22140i) q^{81} +(-4.45578 + 13.7135i) q^{82} +(-0.925517 + 2.84845i) q^{83} +(0.0769662 - 0.0559192i) q^{84} +(-0.0922415 - 0.0670174i) q^{85} +(-4.87298 - 14.9975i) q^{86} -0.0821356 q^{87} +(-6.13914 + 4.16064i) q^{88} -11.2899 q^{89} +(-0.170284 - 0.524081i) q^{90} +(2.44233 + 1.77445i) q^{91} +(-1.09224 + 0.793560i) q^{92} +(0.267949 - 0.824663i) q^{93} +(4.92303 - 15.1515i) q^{94} +(0.376542 - 0.273574i) q^{95} +(-0.311958 - 0.226651i) q^{96} +(-0.783636 - 2.41178i) q^{97} +8.37700 q^{98} +(-9.90146 - 0.323900i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 8 q - 4 q^{2} + 6 q^{3} - 4 q^{4} + 4 q^{5} + 2 q^{6} + 2 q^{7} - 10 q^{8} + 2 q^{9}+O(q^{10}) \) 8 * q - 4 * q^2 + 6 * q^3 - 4 * q^4 + 4 * q^5 + 2 * q^6 + 2 * q^7 - 10 * q^8 + 2 * q^9	\( 8 q - 4 q^{2} + 6 q^{3} - 4 q^{4} + 4 q^{5} + 2 q^{6} + 2 q^{7} - 10 q^{8} + 2 q^{9} - 12 q^{10} - 2 q^{11} - 8 q^{12} + 10 q^{13} + 4 q^{14} + 14 q^{15} - 12 q^{16} + 2 q^{17} + 14 q^{18} - 4 q^{19} - 2 q^{20} - 20 q^{21} - 14 q^{22} + 4 q^{23} - 4 q^{25} + 10 q^{26} - 18 q^{27} + 14 q^{28} - 32 q^{30} - 4 q^{31} + 36 q^{32} + 6 q^{33} + 4 q^{34} - 6 q^{36} + 10 q^{37} + 2 q^{38} - 10 q^{40} - 10 q^{41} + 10 q^{42} + 16 q^{43} + 6 q^{44} + 40 q^{45} - 2 q^{46} + 10 q^{47} - 24 q^{48} - 14 q^{49} + 2 q^{50} - 6 q^{51} + 4 q^{53} + 64 q^{54} - 16 q^{55} - 20 q^{56} - 10 q^{57} - 10 q^{58} + 6 q^{59} - 22 q^{60} + 30 q^{61} + 12 q^{62} - 38 q^{63} + 6 q^{64} + 20 q^{65} - 28 q^{66} - 20 q^{67} - 6 q^{68} - 20 q^{69} + 20 q^{70} + 18 q^{71} + 10 q^{72} - 6 q^{73} - 40 q^{74} - 22 q^{75} + 12 q^{76} + 32 q^{77} + 20 q^{78} - 4 q^{79} + 24 q^{80} - 76 q^{81} - 20 q^{83} + 10 q^{84} + 6 q^{85} - 8 q^{86} + 36 q^{87} - 10 q^{88} - 48 q^{89} - 20 q^{90} - 10 q^{91} - 2 q^{92} + 16 q^{93} + 30 q^{94} + 10 q^{95} + 22 q^{96} + 12 q^{97} + 32 q^{98} + 22 q^{99}+O(q^{100}) \) 8 * q - 4 * q^2 + 6 * q^3 - 4 * q^4 + 4 * q^5 + 2 * q^6 + 2 * q^7 - 10 * q^8 + 2 * q^9 - 12 * q^10 - 2 * q^11 - 8 * q^12 + 10 * q^13 + 4 * q^14 + 14 * q^15 - 12 * q^16 + 2 * q^17 + 14 * q^18 - 4 * q^19 - 2 * q^20 - 20 * q^21 - 14 * q^22 + 4 * q^23 - 4 * q^25 + 10 * q^26 - 18 * q^27 + 14 * q^28 - 32 * q^30 - 4 * q^31 + 36 * q^32 + 6 * q^33 + 4 * q^34 - 6 * q^36 + 10 * q^37 + 2 * q^38 - 10 * q^40 - 10 * q^41 + 10 * q^42 + 16 * q^43 + 6 * q^44 + 40 * q^45 - 2 * q^46 + 10 * q^47 - 24 * q^48 - 14 * q^49 + 2 * q^50 - 6 * q^51 + 4 * q^53 + 64 * q^54 - 16 * q^55 - 20 * q^56 - 10 * q^57 - 10 * q^58 + 6 * q^59 - 22 * q^60 + 30 * q^61 + 12 * q^62 - 38 * q^63 + 6 * q^64 + 20 * q^65 - 28 * q^66 - 20 * q^67 - 6 * q^68 - 20 * q^69 + 20 * q^70 + 18 * q^71 + 10 * q^72 - 6 * q^73 - 40 * q^74 - 22 * q^75 + 12 * q^76 + 32 * q^77 + 20 * q^78 - 4 * q^79 + 24 * q^80 - 76 * q^81 - 20 * q^83 + 10 * q^84 + 6 * q^85 - 8 * q^86 + 36 * q^87 - 10 * q^88 - 48 * q^89 - 20 * q^90 - 10 * q^91 - 2 * q^92 + 16 * q^93 + 30 * q^94 + 10 * q^95 + 22 * q^96 + 12 * q^97 + 32 * q^98 + 22 * q^99

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