LMFDB - Embedded newform 63.2.i.b.38.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [63,2,Mod(5,63)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(63, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([5, 5]))

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

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

chi := DirichletCharacter("63.5");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 63 = 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	63.i (of order $6$, degree $2$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$0.503057532734$
Analytic rank:	$0$
Dimension:	$10$
Relative dimension:	$5$ over $\Q(\zeta_{6})$
Coefficient field:	10.0.288778218147.1
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{10} - x^{9} + 7x^{8} - 4x^{7} + 34x^{6} - 19x^{5} + 64x^{4} - x^{3} + 64x^{2} - 21x + 9 $ x^10 - x^9 + 7x^8 - 4x^7 + 34x^6 - 19x^5 + 64x^4 - x^3 + 64x^2 - 21*x + 9
Coefficient ring:	$\Z[a_1, \ldots, a_{11}]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			38.3
Root			$-0.539982 - 0.935277i$ of defining polynomial
Character	$\chi$	$=$	63.38
Dual form			63.2.i.b.5.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q-0.293869i q^{2} +(-1.65249 - 0.518912i) q^{3} +1.91364 q^{4} +(1.53014 - 2.65027i) q^{5} +(-0.152492 + 0.485617i) q^{6} +(-1.41763 + 2.23391i) q^{7} -1.15010i q^{8} +(2.46146 + 1.71499i) q^{9} +O(q^{10})$	\(q-0.293869i q^{2} +(-1.65249 - 0.518912i) q^{3} +1.91364 q^{4} +(1.53014 - 2.65027i) q^{5} +(-0.152492 + 0.485617i) q^{6} +(-1.41763 + 2.23391i) q^{7} -1.15010i q^{8} +(2.46146 + 1.71499i) q^{9} +(-0.778834 - 0.449660i) q^{10} +(-3.37445 + 1.94824i) q^{11} +(-3.16228 - 0.993010i) q^{12} +(-2.02935 + 1.17164i) q^{13} +(0.656477 + 0.416597i) q^{14} +(-3.90379 + 3.58555i) q^{15} +3.48930 q^{16} +(-1.68263 + 2.91440i) q^{17} +(0.503985 - 0.723348i) q^{18} +(2.20696 - 1.27419i) q^{19} +(2.92813 - 5.07167i) q^{20} +(3.50182 - 2.95589i) q^{21} +(0.572527 + 0.991647i) q^{22} +(2.58141 + 1.49038i) q^{23} +(-0.596800 + 1.90053i) q^{24} +(-2.18263 - 3.78042i) q^{25} +(0.344311 + 0.596363i) q^{26} +(-3.17762 - 4.11130i) q^{27} +(-2.71283 + 4.27489i) q^{28} +(-3.67241 - 2.12027i) q^{29} +(1.05368 + 1.14721i) q^{30} -0.472735i q^{31} -3.32560i q^{32} +(6.58721 - 1.46841i) q^{33} +(0.856452 + 0.494473i) q^{34} +(3.75130 + 7.17527i) q^{35} +(4.71035 + 3.28188i) q^{36} +(-3.89395 - 6.74451i) q^{37} +(-0.374446 - 0.648559i) q^{38} +(3.96146 - 0.883081i) q^{39} +(-3.04808 - 1.75981i) q^{40} +(3.12737 + 5.41676i) q^{41} +(-0.868646 - 1.02908i) q^{42} +(2.06191 - 3.57133i) q^{43} +(-6.45748 + 3.72823i) q^{44} +(8.31157 - 3.89937i) q^{45} +(0.437976 - 0.758597i) q^{46} -4.05388 q^{47} +(-5.76605 - 1.81064i) q^{48} +(-2.98068 - 6.33369i) q^{49} +(-1.11095 + 0.641408i) q^{50} +(4.29284 - 3.94288i) q^{51} +(-3.88344 + 2.24211i) q^{52} +(4.99439 + 2.88351i) q^{53} +(-1.20818 + 0.933804i) q^{54} +11.9243i q^{55} +(2.56921 + 1.63041i) q^{56} +(-4.30818 + 0.960372i) q^{57} +(-0.623082 + 1.07921i) q^{58} -4.68705 q^{59} +(-7.47046 + 6.86145i) q^{60} +1.60018i q^{61} -0.138922 q^{62} +(-7.32057 + 3.06745i) q^{63} +6.00131 q^{64} +7.17110i q^{65} +(-0.431520 - 1.93578i) q^{66} +1.57566 q^{67} +(-3.21994 + 5.57711i) q^{68} +(-3.49238 - 3.80236i) q^{69} +(2.10859 - 1.10239i) q^{70} -13.6132i q^{71} +(1.97241 - 2.83093i) q^{72} +(-0.856452 - 0.494473i) q^{73} +(-1.98201 + 1.14431i) q^{74} +(1.64507 + 7.37971i) q^{75} +(4.22333 - 2.43834i) q^{76} +(0.431520 - 10.3001i) q^{77} +(-0.259511 - 1.16415i) q^{78} -9.27815 q^{79} +(5.33910 - 9.24760i) q^{80} +(3.11759 + 8.44279i) q^{81} +(1.59182 - 0.919038i) q^{82} +(5.49361 - 9.51520i) q^{83} +(6.70122 - 5.65651i) q^{84} +(5.14930 + 8.91884i) q^{85} +(-1.04950 - 0.605932i) q^{86} +(4.96840 + 5.40938i) q^{87} +(2.24067 + 3.88095i) q^{88} +(-2.15849 - 3.73861i) q^{89} +(-1.14591 - 2.44252i) q^{90} +(0.259511 - 6.19433i) q^{91} +(4.93989 + 2.85205i) q^{92} +(-0.245308 + 0.781191i) q^{93} +1.19131i q^{94} -7.79874i q^{95} +(-1.72569 + 5.49553i) q^{96} +(4.98797 + 2.87980i) q^{97} +(-1.86128 + 0.875930i) q^{98} +(-11.6473 - 0.991647i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 10 q - 3 q^{3} - 8 q^{4} + 12 q^{6} - 6 q^{7} + 3 q^{9}+O(q^{10}) $ 10 * q - 3 * q^3 - 8 * q^4 + 12 * q^6 - 6 * q^7 + 3 * q^9	$ 10 q - 3 q^{3} - 8 q^{4} + 12 q^{6} - 6 q^{7} + 3 q^{9} - 15 q^{10} - 12 q^{11} - 12 q^{12} - 6 q^{13} + 12 q^{14} - 3 q^{15} + 12 q^{16} + 12 q^{17} + 24 q^{18} + 3 q^{19} + 3 q^{20} - 9 q^{21} + 5 q^{22} - 15 q^{23} + 7 q^{25} - 3 q^{26} - 27 q^{27} + 2 q^{28} - 15 q^{29} + 6 q^{30} - 3 q^{34} + 15 q^{35} - 18 q^{36} + 6 q^{37} + 18 q^{38} + 18 q^{39} + 15 q^{40} + 9 q^{41} - 12 q^{42} + 3 q^{43} - 24 q^{44} + 30 q^{45} - 13 q^{46} + 30 q^{47} + 15 q^{48} + 4 q^{49} + 3 q^{50} + 21 q^{51} - 12 q^{52} + 9 q^{53} + 9 q^{54} - 30 q^{56} - 36 q^{57} + 8 q^{58} - 36 q^{59} - 48 q^{60} - 12 q^{62} - 15 q^{63} + 6 q^{64} - 39 q^{66} + 20 q^{67} - 27 q^{68} + 3 q^{69} + 6 q^{70} - 30 q^{72} + 3 q^{73} - 30 q^{74} + 6 q^{75} - 9 q^{76} + 39 q^{77} + 24 q^{78} - 40 q^{79} + 30 q^{80} + 15 q^{81} + 9 q^{82} + 15 q^{83} + 93 q^{84} + 18 q^{85} + 54 q^{86} + 6 q^{87} - 8 q^{88} - 24 q^{89} - 24 q^{90} - 24 q^{91} + 39 q^{92} + 36 q^{93} + 33 q^{96} - 6 q^{97} - 45 q^{98} + 21 q^{99}+O(q^{100}) $ 10 * q - 3 * q^3 - 8 * q^4 + 12 * q^6 - 6 * q^7 + 3 * q^9 - 15 * q^10 - 12 * q^11 - 12 * q^12 - 6 * q^13 + 12 * q^14 - 3 * q^15 + 12 * q^16 + 12 * q^17 + 24 * q^18 + 3 * q^19 + 3 * q^20 - 9 * q^21 + 5 * q^22 - 15 * q^23 + 7 * q^25 - 3 * q^26 - 27 * q^27 + 2 * q^28 - 15 * q^29 + 6 * q^30 - 3 * q^34 + 15 * q^35 - 18 * q^36 + 6 * q^37 + 18 * q^38 + 18 * q^39 + 15 * q^40 + 9 * q^41 - 12 * q^42 + 3 * q^43 - 24 * q^44 + 30 * q^45 - 13 * q^46 + 30 * q^47 + 15 * q^48 + 4 * q^49 + 3 * q^50 + 21 * q^51 - 12 * q^52 + 9 * q^53 + 9 * q^54 - 30 * q^56 - 36 * q^57 + 8 * q^58 - 36 * q^59 - 48 * q^60 - 12 * q^62 - 15 * q^63 + 6 * q^64 - 39 * q^66 + 20 * q^67 - 27 * q^68 + 3 * q^69 + 6 * q^70 - 30 * q^72 + 3 * q^73 - 30 * q^74 + 6 * q^75 - 9 * q^76 + 39 * q^77 + 24 * q^78 - 40 * q^79 + 30 * q^80 + 15 * q^81 + 9 * q^82 + 15 * q^83 + 93 * q^84 + 18 * q^85 + 54 * q^86 + 6 * q^87 - 8 * q^88 - 24 * q^89 - 24 * q^90 - 24 * q^91 + 39 * q^92 + 36 * q^93 + 33 * q^96 - 6 * q^97 - 45 * q^98 + 21 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/63\mathbb{Z}\right)^\times$.

$n$	$10$	$29$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{1}{6}\right)$

Coefficient data

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

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

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

$2$		−	0.293869i		−	0.207797i	−0.994588	−	0.103899i	$-0.966868\pi$
$2$		−	0.293869i		−	0.207797i	0.994588	−	0.103899i	$-0.0331317\pi$
$3$	−1.65249	−	0.518912i	−0.954067	−	0.299594i
$3$	−1.65249	−	0.518912i	−0.954067	−	0.299594i
$4$	1.91364			0.956820
$5$	1.53014	−	2.65027i	0.684297	−	1.18524i	−0.289360	−	0.957220i	$-0.593442\pi$
$5$	1.53014	−	2.65027i	0.684297	−	1.18524i	0.973657	−	0.228017i	$-0.0732243\pi$
$6$	−0.152492	+	0.485617i	−0.0622547	+	0.198252i
$7$	−1.41763	+	2.23391i	−0.535812	+	0.844337i
$7$	−1.41763	+	2.23391i	−0.535812	+	0.844337i
$8$		−	1.15010i		−	0.406622i
$9$	2.46146	+	1.71499i	0.820487	+	0.571665i
$10$	−0.778834	−	0.449660i	−0.246289	−	0.142195i
$11$	−3.37445	+	1.94824i	−1.01743	+	0.587416i	−0.913360	−	0.407154i	$-0.866521\pi$
$11$	−3.37445	+	1.94824i	−1.01743	+	0.587416i	−0.104074	+	0.994570i	$0.533188\pi$
$12$	−3.16228	−	0.993010i	−0.912871	−	0.286657i
$13$	−2.02935	+	1.17164i	−0.562840	+	0.324956i	−0.754285	−	0.656548i	$-0.772016\pi$
$13$	−2.02935	+	1.17164i	−0.562840	+	0.324956i	0.191445	+	0.981503i	$0.438683\pi$
$14$	0.656477	+	0.416597i	0.175451	+	0.111340i
$15$	−3.90379	+	3.58555i	−1.00796	+	0.925785i
$16$	3.48930			0.872326
$17$	−1.68263	+	2.91440i	−0.408097	+	0.706845i	−0.994677	−	0.103047i	$-0.967141\pi$
$17$	−1.68263	+	2.91440i	−0.408097	+	0.706845i	0.586579	+	0.809892i	$0.300474\pi$
$18$	0.503985	−	0.723348i	0.118790	−	0.170495i
$19$	2.20696	−	1.27419i	0.506312	−	0.292319i	−0.225004	−	0.974358i	$-0.572240\pi$
$19$	2.20696	−	1.27419i	0.506312	−	0.292319i	0.731316	+	0.682038i	$0.238906\pi$
$20$	2.92813	−	5.07167i	0.654750	−	1.13406i
$21$	3.50182	−	2.95589i	0.764159	−	0.645028i
$22$	0.572527	+	0.991647i	0.122063	+	0.211420i
$23$	2.58141	+	1.49038i	0.538261	+	0.310765i	0.744374	−	0.667763i	$-0.232748\pi$
$23$	2.58141	+	1.49038i	0.538261	+	0.310765i	−0.206113	+	0.978528i	$0.566081\pi$
$24$	−0.596800	+	1.90053i	−0.121821	+	0.387944i
$25$	−2.18263	−	3.78042i	−0.436525	−	0.756084i
$26$	0.344311	+	0.596363i	0.0675249	+	0.116956i
$27$	−3.17762	−	4.11130i	−0.611532	−	0.791219i
$28$	−2.71283	+	4.27489i	−0.512676	+	0.807879i
$29$	−3.67241	−	2.12027i	−0.681949	−	0.393724i	0.118640	−	0.992937i	$-0.462147\pi$
$29$	−3.67241	−	2.12027i	−0.681949	−	0.393724i	−0.800589	+	0.599214i	$0.795480\pi$
$30$	1.05368	+	1.14721i	0.192375	+	0.209450i
$31$		−	0.472735i		−	0.0849057i	−0.999098	−	0.0424528i	$-0.986483\pi$
$31$		−	0.472735i		−	0.0849057i	0.999098	−	0.0424528i	$-0.0135172\pi$
$32$		−	3.32560i		−	0.587888i
$33$	6.58721	−	1.46841i	1.14669	−	0.255617i
$34$	0.856452	+	0.494473i	0.146880	+	0.0848014i
$35$	3.75130	+	7.17527i	0.634086	+	1.21284i
$36$	4.71035	+	3.28188i	0.785059	+	0.546981i
$37$	−3.89395	−	6.74451i	−0.640161	−	1.10879i	−0.985397	−	0.170275i	$-0.945534\pi$
$37$	−3.89395	−	6.74451i	−0.640161	−	1.10879i	0.345236	−	0.938516i	$-0.387799\pi$
$38$	−0.374446	−	0.648559i	−0.0607431	−	0.105210i
$39$	3.96146	−	0.883081i	0.634342	−	0.141406i
$40$	−3.04808	−	1.75981i	−0.481943	−	0.278250i
$41$	3.12737	+	5.41676i	0.488413	+	0.845956i	0.999911	−	0.0133282i	$-0.00424262\pi$
$41$	3.12737	+	5.41676i	0.488413	+	0.845956i	−0.511498	+	0.859284i	$0.670909\pi$
$42$	−0.868646	−	1.02908i	−0.134035	−	0.158790i
$43$	2.06191	−	3.57133i	0.314438	−	0.544623i	−0.664880	−	0.746950i	$-0.731517\pi$
$43$	2.06191	−	3.57133i	0.314438	−	0.544623i	0.979318	+	0.202328i	$0.0648506\pi$
$44$	−6.45748	+	3.72823i	−0.973501	+	0.562051i
$45$	8.31157	−	3.89937i	1.23902	−	0.581283i
$46$	0.437976	−	0.758597i	0.0645761	−	0.111849i
$47$	−4.05388			−0.591319			−0.295659	−	0.955293i	$-0.595539\pi$
$47$	−4.05388			−0.591319			−0.295659	+	0.955293i	$0.595539\pi$
$48$	−5.76605	−	1.81064i	−0.832257	−	0.261343i
$49$	−2.98068	−	6.33369i	−0.425811	−	0.904812i
$50$	−1.11095	+	0.641408i	−0.157112	+	0.0907087i
$51$	4.29284	−	3.94288i	0.601118	−	0.552114i
$52$	−3.88344	+	2.24211i	−0.538537	+	0.310924i
$53$	4.99439	+	2.88351i	0.686033	+	0.396081i	0.802124	−	0.597157i	$-0.203703\pi$
$53$	4.99439	+	2.88351i	0.686033	+	0.396081i	−0.116091	+	0.993239i	$0.537037\pi$
$54$	−1.20818	+	0.933804i	−0.164413	+	0.127075i
$55$			11.9243i			1.60787i
$56$	2.56921	+	1.63041i	0.343326	+	0.217873i
$57$	−4.30818	+	0.960372i	−0.570633	+	0.127204i
$58$	−0.623082	+	1.07921i	−0.0818146	+	0.141707i
$59$	−4.68705			−0.610201			−0.305101	−	0.952320i	$-0.598690\pi$
$59$	−4.68705			−0.610201			−0.305101	+	0.952320i	$0.598690\pi$
$60$	−7.47046	+	6.86145i	−0.964432	+	0.885810i
$61$			1.60018i			0.204883i	0.994739	+	0.102441i	$0.0326654\pi$
$61$			1.60018i			0.204883i	−0.994739	+	0.102441i	$0.967335\pi$
$62$	−0.138922			−0.0176432
$63$	−7.32057	+	3.06745i	−0.922305	+	0.386463i
$64$	6.00131			0.750164
$65$			7.17110i			0.889465i
$66$	−0.431520	−	1.93578i	−0.0531165	−	0.238278i
$67$	1.57566			0.192498			0.0962489	−	0.995357i	$-0.469316\pi$
$67$	1.57566			0.192498			0.0962489	+	0.995357i	$0.469316\pi$
$68$	−3.21994	+	5.57711i	−0.390476	+	0.676324i
$69$	−3.49238	−	3.80236i	−0.420434	−	0.457750i
$70$	2.10859	−	1.10239i	0.252025	−	0.131761i
$71$		−	13.6132i		−	1.61559i	−0.589462	−	0.807796i	$-0.700660\pi$
$71$		−	13.6132i		−	1.61559i	0.589462	−	0.807796i	$-0.299340\pi$
$72$	1.97241	−	2.83093i	0.232451	−	0.333628i
$73$	−0.856452	−	0.494473i	−0.100240	−	0.0578737i	0.449042	−	0.893511i	$-0.351765\pi$
$73$	−0.856452	−	0.494473i	−0.100240	−	0.0578737i	−0.549282	+	0.835637i	$0.685099\pi$
$74$	−1.98201	+	1.14431i	−0.230404	+	0.133024i
$75$	1.64507	+	7.37971i	0.189956	+	0.852135i
$76$	4.22333	−	2.43834i	0.484450	−	0.279697i
$77$	0.431520	−	10.3001i	0.0491763	−	1.17380i
$78$	−0.259511	−	1.16415i	−0.0293838	−	0.131814i
$79$	−9.27815			−1.04387			−0.521937	−	0.852984i	$-0.674790\pi$
$79$	−9.27815			−1.04387			−0.521937	+	0.852984i	$0.674790\pi$
$80$	5.33910	−	9.24760i	0.596930	−	1.03391i
$81$	3.11759	+	8.44279i	0.346398	+	0.938088i
$82$	1.59182	−	0.919038i	0.175787	−	0.101491i
$83$	5.49361	−	9.51520i	0.603002	−	1.04443i	−0.389362	−	0.921085i	$-0.627305\pi$
$83$	5.49361	−	9.51520i	0.603002	−	1.04443i	0.992364	−	0.123345i	$-0.0393621\pi$
$84$	6.70122	−	5.65651i	0.731163	−	0.617176i
$85$	5.14930	+	8.91884i	0.558519	+	0.967384i
$86$	−1.04950	−	0.605932i	−0.113171	−	0.0653393i
$87$	4.96840	+	5.40938i	0.532668	+	0.579946i
$88$	2.24067	+	3.88095i	0.238856	+	0.413710i
$89$	−2.15849	−	3.73861i	−0.228799	−	0.396292i	0.728653	−	0.684883i	$-0.240147\pi$
$89$	−2.15849	−	3.73861i	−0.228799	−	0.396292i	−0.957452	+	0.288591i	$0.906813\pi$
$90$	−1.14591	−	2.44252i	−0.120789	−	0.257464i
$91$	0.259511	−	6.19433i	0.0272041	−	0.649342i
$92$	4.93989	+	2.85205i	0.515019	+	0.297346i
$93$	−0.245308	+	0.781191i	−0.0254372	+	0.0810057i
$94$			1.19131i			0.122874i
$95$		−	7.79874i		−	0.800133i
$96$	−1.72569	+	5.49553i	−0.176128	+	0.560885i
$97$	4.98797	+	2.87980i	0.506451	+	0.292400i	0.731374	−	0.681977i	$-0.238880\pi$
$97$	4.98797	+	2.87980i	0.506451	+	0.292400i	−0.224923	+	0.974377i	$0.572213\pi$
$98$	−1.86128	+	0.875930i	−0.188017	+	0.0884823i
$99$	−11.6473	−	0.991647i	−1.17060	−	0.0996642i
$100$	−4.17676	−	7.23437i	−0.417676	−	0.723437i
$101$	8.57900	+	14.8593i	0.853642	+	1.47855i	0.877899	+	0.478846i	$0.158945\pi$
$101$	8.57900	+	14.8593i	0.853642	+	1.47855i	−0.0242566	+	0.999706i	$0.507722\pi$
$102$	−1.15869	−	1.26154i	−0.114728	−	0.124911i
$103$	8.50422	+	4.90992i	0.837946	+	0.483788i	0.856566	−	0.516038i	$-0.172594\pi$
$103$	8.50422	+	4.90992i	0.837946	+	0.483788i	−0.0186195	+	0.999827i	$0.505927\pi$
$104$	1.34751	+	2.33395i	0.132134	+	0.228863i
$105$	−2.47566	−	13.8037i	−0.241600	−	1.34710i
$106$	0.847377	−	1.46770i	0.0823045	−	0.142556i
$107$	−3.00501	+	1.73494i	−0.290505	+	0.167723i	−0.638170	−	0.769896i	$-0.720308\pi$
$107$	−3.00501	+	1.73494i	−0.290505	+	0.167723i	0.347664	+	0.937619i	$0.386975\pi$
$108$	−6.08081	−	7.86755i	−0.585127	−	0.757055i
$109$	0.611066	−	1.05840i	0.0585295	−	0.101376i	−0.835276	−	0.549831i	$-0.814692\pi$
$109$	0.611066	−	1.05840i	0.0585295	−	0.101376i	0.893806	+	0.448455i	$0.148025\pi$
$110$	3.50418			0.334110
$111$	2.93491	+	13.1659i	0.278569	+	1.24965i
$112$	−4.94652	+	7.79478i	−0.467403	+	0.736537i
$113$	−1.87681	+	1.08358i	−0.176555	+	0.101934i	−0.585673	−	0.810547i	$-0.699170\pi$
$113$	−1.87681	+	1.08358i	−0.176555	+	0.101934i	0.409118	+	0.912482i	$0.365836\pi$
$114$	0.282224	+	1.26604i	0.0264327	+	0.118576i
$115$	7.89981	−	4.56096i	0.736661	−	0.425311i
$116$	−7.02767	−	4.05743i	−0.652503	−	0.376723i
$117$	−7.00453	−	0.596363i	−0.647569	−	0.0551338i
$118$			1.37738i			0.126798i
$119$	−4.12515	−	7.89035i	−0.378152	−	0.723308i
$120$	4.12374	+	4.48975i	0.376444	+	0.409856i
$121$	2.09126	−	3.62216i	0.190114	−	0.329287i
$122$	0.470245			0.0425740
$123$	−2.35713	−	10.5740i	−0.212535	−	0.953424i
$124$		−	0.904645i		−	0.0812395i
$125$	1.94249			0.173742
$126$	0.901431	+	2.15129i	0.0803059	+	0.191652i
$127$	2.74889			0.243925			0.121962	−	0.992535i	$-0.461081\pi$
$127$	2.74889			0.243925			0.121962	+	0.992535i	$0.461081\pi$
$128$		−	8.41480i		−	0.743770i
$129$	−5.26049	+	4.83165i	−0.463160	+	0.425403i
$130$	2.10737			0.184828
$131$	−3.73911	+	6.47632i	−0.326687	+	0.565839i	−0.981852	−	0.189647i	$-0.939266\pi$
$131$	−3.73911	+	6.47632i	−0.326687	+	0.565839i	0.655165	+	0.755486i	$0.272599\pi$
$132$	12.6056	−	2.81000i	1.09717	−	0.244580i
$133$	−0.282224	+	6.73647i	−0.0244719	+	0.584126i
$134$		−	0.463039i		−	0.0400005i
$135$	−15.7582	+	2.13070i	−1.35625	+	0.183382i
$136$	3.35185	+	1.93519i	0.287418	+	0.165941i
$137$	−10.5731	+	6.10439i	−0.903321	+	0.521533i	−0.878276	−	0.478153i	$-0.841306\pi$
$137$	−10.5731	+	6.10439i	−0.903321	+	0.521533i	−0.0250451	+	0.999686i	$0.507973\pi$
$138$	−1.11740	+	1.02631i	−0.0951192	+	0.0873649i
$139$	−11.5501	+	6.66842i	−0.979663	+	0.565608i	−0.902168	−	0.431384i	$-0.858025\pi$
$139$	−11.5501	+	6.66842i	−0.979663	+	0.565608i	−0.0774943	+	0.996993i	$0.524692\pi$
$140$	7.17864	+	13.7309i	0.606706	+	1.16047i
$141$	6.69900	+	2.10360i	0.564157	+	0.177155i
$142$	−4.00051			−0.335715
$143$	4.56528	−	7.90730i	0.381768	−	0.661242i
$144$	8.58878	+	5.98414i	0.715732	+	0.498678i
$145$	−11.2386	+	6.48859i	−0.933312	+	0.538848i
$146$	−0.145310	+	0.251685i	−0.0120260	+	0.0208296i
$147$	1.63892	+	12.0131i	0.135176	+	0.990822i
$148$	−7.45161	−	12.9066i	−0.612519	−	1.06091i
$149$	−7.33827	−	4.23675i	−0.601174	−	0.347088i	0.168329	−	0.985731i	$-0.446163\pi$
$149$	−7.33827	−	4.23675i	−0.601174	−	0.347088i	−0.769503	+	0.638643i	$0.779496\pi$
$150$	2.16867	−	0.483436i	0.177071	−	0.0394724i
$151$	1.67827	+	2.90685i	0.136576	+	0.236556i	0.926198	−	0.377037i	$-0.123057\pi$
$151$	1.67827	+	2.90685i	0.136576	+	0.236556i	−0.789623	+	0.613593i	$0.789724\pi$
$152$	−1.46545	−	2.53823i	−0.118863	−	0.205877i
$153$	−9.13990	+	4.28798i	−0.738917	+	0.346662i
$154$	−3.02688	−	0.126811i	−0.243913	−	0.0102187i
$155$	−1.25288	−	0.723348i	−0.100633	−	0.0581007i
$156$	7.58081	−	1.68990i	0.606951	−	0.135300i
$157$		−	16.7085i		−	1.33349i	−0.745288	−	0.666743i	$-0.767688\pi$
$157$		−	16.7085i		−	1.33349i	0.745288	−	0.666743i	$-0.232312\pi$
$158$			2.72657i			0.216914i
$159$	−6.75691	−	7.35663i	−0.535858	−	0.583419i
$160$	−8.81374	−	5.08862i	−0.696787	−	0.402290i
$161$	−6.98883	+	3.65383i	−0.550797	+	0.287962i
$162$	2.48108	−	0.916163i	0.194932	−	0.0719806i
$163$	12.6662	+	21.9385i	0.992094	+	1.71836i	0.604731	+	0.796430i	$0.293281\pi$
$163$	12.6662	+	21.9385i	0.992094	+	1.71836i	0.387363	+	0.921927i	$0.373386\pi$
$164$	5.98466	+	10.3657i	0.467324	+	0.809428i
$165$	6.18764	−	19.7048i	0.481707	−	1.53401i
$166$	−2.79623	−	1.61440i	−0.217029	−	0.125302i
$167$	0.875828	+	1.51698i	0.0677736	+	0.117387i	0.897921	−	0.440157i	$-0.145077\pi$
$167$	0.875828	+	1.51698i	0.0677736	+	0.117387i	−0.830147	+	0.557544i	$0.811744\pi$
$168$	−3.39957	−	4.02744i	−0.262282	−	0.310723i
$169$	−3.75450	+	6.50298i	−0.288808	+	0.500229i
$170$	2.62097	−	1.51322i	0.201020	−	0.116059i
$171$	7.61759	+	0.648559i	0.582531	+	0.0495965i
$172$	3.94575	−	6.83424i	0.300861	−	0.521106i
$173$	23.9266			1.81910			0.909551	−	0.415592i	$-0.136426\pi$
$173$	23.9266			1.81910			0.909551	+	0.415592i	$0.136426\pi$
$174$	1.58965	−	1.46006i	0.120511	−	0.110687i
$175$	11.5393	+	0.483436i	0.872286	+	0.0365443i
$176$	−11.7745	+	6.79799i	−0.887533	+	0.512418i
$177$	7.74531	+	2.43216i	0.582173	+	0.182813i
$178$	−1.09866	+	0.634313i	−0.0823482	+	0.0475438i
$179$	21.9857	+	12.6935i	1.64329	+	0.948755i	0.979652	+	0.200702i	$0.0643223\pi$
$179$	21.9857	+	12.6935i	1.64329	+	0.948755i	0.663639	+	0.748053i	$0.269011\pi$
$180$	15.9054	−	7.46199i	1.18552	−	0.556184i
$181$		−	22.4032i		−	1.66522i	−0.553859	−	0.832610i	$-0.686845\pi$
$181$		−	22.4032i		−	1.66522i	0.553859	−	0.832610i	$-0.313155\pi$
$182$	−1.82032	−	0.0762622i	−0.134931	−	0.00565293i
$183$	0.830354	−	2.64429i	0.0613815	−	0.195472i
$184$	1.71408	−	2.96888i	0.126364	−	0.218869i
$185$	−23.8331			−1.75224
$186$	0.229568	+	0.0720884i	0.0168328	+	0.00528578i
$187$		−	13.1126i		−	0.958890i
$188$	−7.75766			−0.565786
$189$	13.6889	−	1.27022i	0.995722	−	0.0923947i
$190$	−2.29181			−0.166265
$191$		−	4.28895i		−	0.310337i	−0.987888	−	0.155169i	$-0.950408\pi$
$191$		−	4.28895i		−	0.310337i	0.987888	−	0.155169i	$-0.0495921\pi$
$192$	−9.91712	−	3.11415i	−0.715707	−	0.224744i
$193$	−23.3449			−1.68041			−0.840203	−	0.542272i	$-0.817564\pi$
$193$	−23.3449			−1.68041			−0.840203	+	0.542272i	$0.817564\pi$
$194$	0.846286	−	1.46581i	0.0607598	−	0.105239i
$195$	3.72117	−	11.8502i	0.266478	−	0.848609i
$196$	−5.70394	−	12.1204i	−0.407425	−	0.865743i
$197$			18.7811i			1.33809i	0.743220	+	0.669047i	$0.233298\pi$
$197$			18.7811i			1.33809i	−0.743220	+	0.669047i	$0.766702\pi$
$198$	−0.291415	+	3.42278i	−0.0207099	+	0.243246i
$199$	−3.92927	−	2.26856i	−0.278539	−	0.160814i	0.354223	−	0.935161i	$-0.384745\pi$
$199$	−3.92927	−	2.26856i	−0.278539	−	0.160814i	−0.632762	+	0.774347i	$0.718079\pi$
$200$	−4.34786	+	2.51024i	−0.307440	+	0.177501i
$201$	−2.60377	−	0.817629i	−0.183656	−	0.0576711i
$202$	4.36668	−	2.52111i	0.307239	−	0.177384i
$203$	9.94258	−	5.19808i	0.697832	−	0.364833i
$204$	8.21496	−	7.54526i	0.575162	−	0.528274i
$205$	19.1412			1.33688
$206$	1.44287	−	2.49913i	0.100530	−	0.174123i
$207$	3.79805	+	8.09561i	0.263983	+	0.562684i
$208$	−7.08101	+	4.08822i	−0.490980	+	0.283467i
$209$	−4.96485	+	8.59937i	−0.343426	+	0.594831i
$210$	−4.05648	+	0.727522i	−0.279924	+	0.0502038i
$211$	−3.44148	−	5.96082i	−0.236921	−	0.410360i	0.722908	−	0.690944i	$-0.242805\pi$
$211$	−3.44148	−	5.96082i	−0.236921	−	0.410360i	−0.959829	+	0.280584i	$0.909472\pi$
$212$	9.55747	+	5.51801i	0.656410	+	0.378978i
$213$	−7.06406	+	22.4958i	−0.484021	+	1.54138i
$214$	0.509847	+	0.883081i	0.0348524	+	0.0603662i
$215$	−6.31000	−	10.9292i	−0.430338	−	0.745368i
$216$	−4.72840	+	3.65457i	−0.321727	+	0.248662i
$217$	1.05605	+	0.670161i	0.0716890	+	0.0454935i
$218$	−0.311031	−	0.179574i	−0.0210657	−	0.0121623i
$219$	1.15869	+	1.26154i	0.0782972	+	0.0852467i
$220$			22.8188i			1.53844i
$221$		−	7.88576i		−	0.530454i
$222$	3.86905	−	0.862480i	0.259673	−	0.0578859i
$223$	5.57176	+	3.21686i	0.373113	+	0.215417i	0.674818	−	0.737985i	$-0.264222\pi$
$223$	5.57176	+	3.21686i	0.373113	+	0.215417i	−0.301705	+	0.953401i	$0.597556\pi$
$224$	7.42908	+	4.71445i	0.496376	+	0.314998i
$225$	1.11095	−	13.0486i	0.0740634	−	0.869904i
$226$	0.318430	+	0.551537i	0.0211816	+	0.0366877i
$227$	−9.86983	−	17.0951i	−0.655084	−	1.13464i	−0.981873	−	0.189541i	$-0.939300\pi$
$227$	−9.86983	−	17.0951i	−0.655084	−	1.13464i	0.326789	−	0.945097i	$-0.394033\pi$
$228$	−8.24431	+	1.83781i	−0.545993	+	0.121712i
$229$	9.44564	+	5.45344i	0.624185	+	0.360373i	0.778497	−	0.627649i	$-0.215983\pi$
$229$	9.44564	+	5.45344i	0.624185	+	0.360373i	−0.154311	+	0.988022i	$0.549316\pi$
$230$	−1.34033	−	2.32151i	−0.0883785	−	0.153076i
$231$	−6.05791	+	16.7969i	−0.398581	+	1.10515i
$232$	−2.43852	+	4.22364i	−0.160097	+	0.277295i
$233$	17.9944	−	10.3891i	1.17885	−	0.680611i	0.223104	−	0.974795i	$-0.428381\pi$
$233$	17.9944	−	10.3891i	1.17885	−	0.680611i	0.955749	+	0.294184i	$0.0950478\pi$
$234$	−0.175253	+	2.05842i	−0.0114566	+	0.134563i
$235$	−6.20298	+	10.7439i	−0.404638	+	0.700853i
$236$	−8.96932			−0.583853
$237$	15.3321	+	4.81454i	0.995925	+	0.312738i
$238$	−2.31873	+	1.21226i	−0.150301	+	0.0785789i
$239$	23.6739	−	13.6681i	1.53134	−	0.884119i	0.532039	−	0.846720i	$-0.321426\pi$
$239$	23.6739	−	13.6681i	1.53134	−	0.884119i	0.999300	−	0.0373991i	$-0.0119073\pi$
$240$	−13.6215	+	12.5111i	−0.879265	+	0.807586i
$241$	−18.4688	+	10.6630i	−1.18968	+	0.686861i	−0.958234	−	0.285987i	$-0.907679\pi$
$241$	−18.4688	+	10.6630i	−1.18968	+	0.686861i	−0.231445	+	0.972848i	$0.574345\pi$
$242$	−1.06444	−	0.614556i	−0.0684250	−	0.0395052i
$243$	−0.770725	−	15.5694i	−0.0494420	−	0.998777i
$244$			3.06218i			0.196036i
$245$	−21.3468	−	1.79179i	−1.36380	−	0.114473i
$246$	−3.10737	+	0.692689i	−0.198119	+	0.0441643i
$247$	−2.98580	+	5.17155i	−0.189982	+	0.329058i
$248$	−0.543692			−0.0345245
$249$	−14.0157	+	12.8731i	−0.888208	+	0.815800i
$250$		−	0.570839i		−	0.0361030i
$251$	−26.7381			−1.68769			−0.843847	−	0.536584i	$-0.819714\pi$
$251$	−26.7381			−1.68769			−0.843847	+	0.536584i	$0.819714\pi$
$252$	−14.0089	+	5.87001i	−0.882480	+	0.369776i
$253$	−11.6144			−0.730193
$254$		−	0.807815i		−	0.0506868i
$255$	−3.88108	−	17.4103i	−0.243043	−	1.09028i
$256$	9.52977			0.595611
$257$	−1.52640	+	2.64380i	−0.0952140	+	0.164916i	−0.909698	−	0.415271i	$-0.863687\pi$
$257$	−1.52640	+	2.64380i	−0.0952140	+	0.164916i	0.814484	+	0.580186i	$0.197020\pi$
$258$	1.41987	+	1.54590i	0.0883975	+	0.0962434i
$259$	20.5868	+	0.862480i	1.27920	+	0.0535919i
$260$			13.7229i			0.851058i
$261$	−5.40325	−	11.5171i	−0.334453	−	0.712892i
$262$	1.90319	+	1.09881i	0.117580	+	0.0678847i
$263$	14.0447	−	8.10868i	0.866030	−	0.500003i	3.24009e−6	−	1.00000i	$-0.499999\pi$
$263$	14.0447	−	8.10868i	0.866030	−	0.500003i	0.866027	+	0.499997i	$0.166666\pi$
$264$	−1.68881	−	7.57595i	−0.103939	−	0.466267i
$265$	15.2842	−	8.82433i	0.938901	−	0.542074i
$266$	1.97964	+	0.0829370i	0.121380	+	0.00508519i
$267$	1.62687	+	7.29808i	0.0995631	+	0.446635i
$268$	3.01525			0.184186
$269$	0.303255	−	0.525254i	0.0184898	−	0.0320253i	−0.856632	−	0.515927i	$-0.827448\pi$
$269$	0.303255	−	0.525254i	0.0184898	−	0.0320253i	0.875122	+	0.483902i	$0.160781\pi$
$270$	0.626149	+	4.63086i	0.0381062	+	0.281825i
$271$	19.8948	−	11.4863i	1.20852	−	0.697742i	0.246088	−	0.969248i	$-0.420855\pi$
$271$	19.8948	−	11.4863i	1.20852	−	0.697742i	0.962437	+	0.271505i	$0.0875215\pi$
$272$	−5.87120	+	10.1692i	−0.355994	+	0.616599i
$273$	−3.64315	+	10.1014i	−0.220493	+	0.611365i
$274$	1.79389	+	3.10711i	0.108373	+	0.187708i
$275$	14.7303	+	8.50455i	0.888271	+	0.512844i
$276$	−6.68317	−	7.27635i	−0.402279	−	0.437985i
$277$	−6.64173	−	11.5038i	−0.399063	−	0.691197i	0.594548	−	0.804060i	$-0.297331\pi$
$277$	−6.64173	−	11.5038i	−0.399063	−	0.691197i	−0.993611	+	0.112863i	$0.963998\pi$
$278$	1.95965	+	3.39421i	0.117532	+	0.203571i
$279$	0.810738	−	1.16362i	0.0485376	−	0.0696640i
$280$	8.25228	−	4.31437i	0.493168	−	0.257833i
$281$	5.68377	+	3.28153i	0.339065	+	0.195759i	0.659859	−	0.751390i	$-0.270616\pi$
$281$	5.68377	+	3.28153i	0.339065	+	0.195759i	−0.320793	+	0.947149i	$0.603950\pi$
$282$	0.618185	−	1.96863i	0.0368124	−	0.117230i
$283$			2.97234i			0.176687i	0.996090	+	0.0883437i	$0.0281574\pi$
$283$			2.97234i			0.176687i	−0.996090	+	0.0883437i	$0.971843\pi$
$284$		−	26.0508i		−	1.54583i
$285$	−4.04685	+	12.8874i	−0.239715	+	0.763381i
$286$	−2.32371	−	1.34160i	−0.137404	−	0.0793303i
$287$	−16.5340	−	0.692689i	−0.975970	−	0.0408882i
$288$	5.70338	−	8.18583i	0.336075	−	0.482355i
$289$	2.83753	+	4.91475i	0.166914	+	0.289103i
$290$	1.90680	+	3.30267i	0.111971	+	0.193940i
$291$	−6.74821	−	7.34717i	−0.395587	−	0.430698i
$292$	−1.63894	−	0.946243i	−0.0959118	−	0.0553747i
$293$	3.03087	+	5.24962i	0.177065	+	0.306686i	0.940874	−	0.338756i	$-0.110006\pi$
$293$	3.03087	+	5.24962i	0.177065	+	0.306686i	−0.763809	+	0.645443i	$0.776673\pi$
$294$	3.53028	−	0.481629i	0.205890	−	0.0280892i
$295$	−7.17181	+	12.4219i	−0.417559	+	0.723234i
$296$	−7.75686	+	4.47843i	−0.450858	+	0.260303i
$297$	18.7325	+	7.68260i	1.08697	+	0.445790i
$298$	−1.24505	+	2.15649i	−0.0721239	+	0.124922i
$299$	−6.98477			−0.403940
$300$	3.14807	+	14.1221i	0.181754	+	0.815340i
$301$	5.05500	+	9.66892i	0.291366	+	0.557307i
$302$	0.854235	−	0.493193i	0.0491557	−	0.0283801i
$303$	−6.46609	−	29.0066i	−0.371467	−	1.66638i
$304$	7.70076	−	4.44604i	0.441669	−	0.254998i
$305$	4.24092	+	2.44850i	0.242834	+	0.140201i
$306$	1.26011	+	2.68594i	0.0720354	+	0.153545i
$307$		−	21.6030i		−	1.23295i	−0.787375	−	0.616474i	$-0.788561\pi$
$307$		−	21.6030i		−	1.23295i	0.787375	−	0.616474i	$-0.211439\pi$
$308$	0.825775	−	19.7106i	0.0470529	−	1.12312i
$309$	−11.5054	−	12.5265i	−0.654517	−	0.712610i
$310$	−0.212570	+	0.368182i	−0.0120732	+	0.0209113i
$311$	11.0234			0.625081			0.312540	−	0.949905i	$-0.398820\pi$
$311$	11.0234			0.625081			0.312540	+	0.949905i	$0.398820\pi$
$312$	−1.01563	−	4.55607i	−0.0574988	−	0.257937i
$313$			13.5542i			0.766129i	0.923722	+	0.383064i	$0.125131\pi$
$313$			13.5542i			0.766129i	−0.923722	+	0.383064i	$0.874869\pi$
$314$	−4.91012			−0.277094
$315$	−3.07187	+	24.0951i	−0.173080	+	1.35761i
$316$	−17.7551			−0.998800
$317$		−	11.1541i		−	0.626479i	−0.949674	−	0.313240i	$-0.898586\pi$
$317$		−	11.1541i		−	0.626479i	0.949674	−	0.313240i	$-0.101414\pi$
$318$	−2.16189	+	1.98565i	−0.121233	+	0.111350i
$319$	16.5231			0.925118
$320$	9.18282	−	15.9051i	0.513335	−	0.889123i
$321$	5.86604	−	1.30765i	0.327411	−	0.0729857i
$322$	1.07375	+	2.05380i	0.0598377	+	0.114454i
$323$			8.57595i			0.477179i
$324$	5.96594	+	16.1565i	0.331441	+	0.897581i
$325$	8.85862	+	5.11453i	0.491388	+	0.283703i
$326$	6.44706	−	3.72221i	0.357070	−	0.206154i
$327$	−1.55900	+	1.43190i	−0.0862127	+	0.0791845i
$328$	6.22982	−	3.59679i	0.343984	−	0.198599i
$329$	5.74688	−	9.05598i	0.316836	−	0.499272i
$330$	−5.79063	−	1.81836i	−0.318763	−	0.100097i
$331$	−19.0202			−1.04544			−0.522722	−	0.852503i	$-0.675083\pi$
$331$	−19.0202			−1.04544			−0.522722	+	0.852503i	$0.675083\pi$
$332$	10.5128	−	18.2087i	0.576964	−	0.999331i
$333$	1.98201	−	23.2795i	0.108613	−	1.27571i
$334$	0.445794	−	0.257379i	0.0243927	−	0.0140832i
$335$	2.41098	−	4.17593i	0.131726	−	0.228156i
$336$	12.2189	−	10.3140i	0.666595	−	0.562675i
$337$	3.32635	+	5.76140i	0.181198	+	0.313843i	0.942289	−	0.334802i	$-0.108669\pi$
$337$	3.32635	+	5.76140i	0.181198	+	0.313843i	−0.761091	+	0.648645i	$0.775336\pi$
$338$	1.91103	+	1.10333i	0.103946	+	0.0600134i
$339$	3.66369	−	0.816703i	0.198984	−	0.0443572i
$340$	9.85390	+	17.0675i	0.534403	+	0.925613i
$341$	0.921000	+	1.59522i	0.0498749	+	0.0863859i
$342$	0.190592	−	2.23858i	0.0103060	−	0.121048i
$343$	18.3743	+	2.32024i	0.992121	+	0.125281i
$344$	−4.10738	−	2.37140i	−0.221455	−	0.127857i
$345$	−15.4211	+	3.43764i	−0.830244	+	0.185076i
$346$		−	7.03128i		−	0.378004i
$347$			26.6501i			1.43065i	0.698792	+	0.715325i	$0.253721\pi$
$347$			26.6501i			1.43065i	−0.698792	+	0.715325i	$0.746279\pi$
$348$	9.50773	+	10.3516i	0.509668	+	0.554904i
$349$	−20.5135	−	11.8435i	−1.09806	−	0.633966i	−0.162350	−	0.986733i	$-0.551907\pi$
$349$	−20.5135	−	11.8435i	−1.09806	−	0.633966i	−0.935711	+	0.352768i	$0.885241\pi$
$350$	0.142067	−	3.39104i	0.00759380	−	0.181258i
$351$	11.2655	+	4.62022i	0.601306	+	0.246609i
$352$	6.47905	+	11.2221i	0.345335	+	0.598137i
$353$	2.29422	+	3.97371i	0.122109	+	0.211499i	0.920599	−	0.390509i	$-0.127701\pi$
$353$	2.29422	+	3.97371i	0.122109	+	0.211499i	−0.798490	+	0.602008i	$0.794368\pi$
$354$	0.714738	−	2.27611i	0.0379879	−	0.120974i
$355$	−36.0788	−	20.8301i	−1.91486	−	1.10555i
$356$	−4.13057	−	7.15435i	−0.218920	−	0.379180i
$357$	2.72239	+	15.1793i	0.144084	+	0.803376i
$358$	3.73022	−	6.46094i	0.197148	−	0.341471i
$359$	−5.30942	+	3.06540i	−0.280221	+	0.161785i	−0.633523	−	0.773724i	$-0.718392\pi$
$359$	−5.30942	+	3.06540i	−0.280221	+	0.161785i	0.353303	+	0.935509i	$0.385059\pi$
$360$	−4.48466	−	9.55913i	−0.236362	−	0.503811i
$361$	−6.25288	+	10.8303i	−0.329099	+	0.570016i
$362$	−6.58363			−0.346028
$363$	−5.33537	+	4.90042i	−0.280034	+	0.257205i
$364$	0.496610	−	11.8537i	0.0260294	−	0.621303i
$365$	−2.62097	+	1.51322i	−0.137188	+	0.0792056i
$366$	−0.777076	−	0.244016i	−0.0406184	−	0.0127549i
$367$	22.8860	−	13.2132i	1.19464	−	0.689725i	0.235283	−	0.971927i	$-0.424398\pi$
$367$	22.8860	−	13.2132i	1.19464	−	0.689725i	0.959355	+	0.282202i	$0.0910650\pi$
$368$	9.00732	+	5.20038i	0.469539	+	0.271088i
$369$	−1.59182	+	18.6966i	−0.0828669	+	0.973305i
$370$			7.00381i			0.364111i
$371$	−13.5217	+	7.06926i	−0.702011	+	0.367018i
$372$	−0.469431	+	1.49492i	−0.0243388	+	0.0775079i
$373$	−10.0581	+	17.4211i	−0.520789	+	0.902033i	0.478919	+	0.877859i	$0.341029\pi$
$373$	−10.0581	+	17.4211i	−0.520789	+	0.902033i	−0.999708	+	0.0241735i	$0.992305\pi$
$374$	−3.85340			−0.199255
$375$	−3.20995	−	1.00798i	−0.165761	−	0.0520519i
$376$			4.66236i			0.240443i
$377$	9.93679			0.511771
$378$	−0.373278	−	4.02276i	−0.0191993	−	0.206908i
$379$	−17.4561			−0.896660			−0.448330	−	0.893868i	$-0.647981\pi$
$379$	−17.4561			−0.896660			−0.448330	+	0.893868i	$0.647981\pi$
$380$		−	14.9240i		−	0.765584i
$381$	−4.54252	−	1.42643i	−0.232720	−	0.0730783i
$382$	−1.26039			−0.0644872
$383$	−14.0317	+	24.3036i	−0.716985	+	1.24185i	0.245204	+	0.969471i	$0.421145\pi$
$383$	−14.0317	+	24.3036i	−0.716985	+	1.24185i	−0.962189	+	0.272383i	$0.912188\pi$
$384$	−4.36654	+	13.9054i	−0.222829	+	0.709607i
$385$	−26.6377	−	16.9041i	−1.35758	−	0.861515i
$386$			6.86037i			0.349183i
$387$	11.2001	−	5.25453i	0.569334	−	0.267103i
$388$	9.54517	+	5.51091i	0.484583	+	0.279774i
$389$	−29.6520	+	17.1196i	−1.50342	+	0.867999i	−0.503426	+	0.864038i	$0.667928\pi$
$389$	−29.6520	+	17.1196i	−1.50342	+	0.867999i	−0.999992	+	0.00396103i	$0.998739\pi$
$390$	−3.48241	−	1.09354i	−0.176339	−	0.0553734i
$391$	−8.68710	+	5.01550i	−0.439325	+	0.253645i
$392$	−7.28437	+	3.42807i	−0.367916	+	0.173144i
$393$	9.53949	−	8.76181i	0.481203	−	0.441975i
$394$	5.51918			0.278052
$395$	−14.1968	+	24.5896i	−0.714320	+	1.23724i
$396$	−22.2887	−	1.89766i	−1.12005	−	0.0953608i
$397$	−11.2926	+	6.51981i	−0.566762	+	0.327220i	−0.755855	−	0.654739i	$-0.772778\pi$
$397$	−11.2926	+	6.51981i	−0.566762	+	0.327220i	0.189093	+	0.981959i	$0.439445\pi$
$398$	−0.666662	+	1.15469i	−0.0334167	+	0.0578795i
$399$	3.96201	−	10.9855i	0.198348	−	0.549964i
$400$	−7.61585	−	13.1910i	−0.380792	−	0.659552i
$401$	−15.8943	−	9.17659i	−0.793725	−	0.458257i	0.0475475	−	0.998869i	$-0.484859\pi$
$401$	−15.8943	−	9.17659i	−0.793725	−	0.458257i	−0.841272	+	0.540612i	$0.818193\pi$
$402$	−0.240276	+	0.765168i	−0.0119839	+	0.0381631i
$403$	0.553877	+	0.959344i	0.0275906	+	0.0477883i
$404$	16.4171	+	28.4353i	0.816782	+	1.41471i
$405$	27.1460	+	4.65616i	1.34890	+	0.231366i
$406$	−1.52756	−	2.92182i	−0.0758113	−	0.145007i
$407$	26.2798	+	15.1727i	1.30264	+	0.752081i
$408$	−4.53471	−	4.93720i	−0.224501	−	0.244428i
$409$		−	6.46786i		−	0.319815i	−0.987132	−	0.159907i	$-0.948880\pi$
$409$		−	6.46786i		−	0.319815i	0.987132	−	0.159907i	$-0.0511196\pi$
$410$		−	5.62501i		−	0.277800i
$411$	20.6396	−	4.60094i	1.01808	−	0.226948i
$412$	16.2740	+	9.39581i	0.801764	+	0.462899i
$413$	6.64448	−	10.4704i	0.326953	−	0.515216i
$414$	2.37905	−	1.11613i	0.116924	−	0.0548548i
$415$	−16.8119	−	29.1191i	−0.825265	−	1.42940i
$416$	3.89642	+	6.74880i	0.191038	+	0.330887i
$417$	22.5467	−	5.02607i	1.10412	−	0.246127i
$418$	2.52709	+	1.45902i	0.123604	+	0.0713629i
$419$	7.11542	+	12.3243i	0.347611	+	0.602080i	0.985825	−	0.167779i	$-0.0536596\pi$
$419$	7.11542	+	12.3243i	0.347611	+	0.602080i	−0.638214	+	0.769859i	$0.720326\pi$
$420$	−4.73753	−	26.4153i	−0.231168	−	1.28893i
$421$	15.1718	−	26.2784i	0.739429	−	1.28073i	−0.213324	−	0.976982i	$-0.568429\pi$
$421$	15.1718	−	26.2784i	0.739429	−	1.28073i	0.952753	−	0.303747i	$-0.0982378\pi$
$422$	−1.75170	+	1.01135i	−0.0852716	+	0.0492316i
$423$	−9.97846	−	6.95238i	−0.485169	−	0.338036i
$424$	3.31633	−	5.74405i	0.161055	−	0.278956i
$425$	14.6902			0.712579
$426$	6.61081	+	2.07591i	0.320295	+	0.100578i
$427$	−3.57466	−	2.26846i	−0.172990	−	0.109779i
$428$	−5.75051	+	3.32006i	−0.277962	+	0.160481i
$429$	−11.6473	+	10.6978i	−0.562336	+	0.516494i
$430$	−3.21177	+	1.85432i	−0.154885	+	0.0894230i
$431$	−2.12663	−	1.22781i	−0.102436	−	0.0591415i	0.447907	−	0.894080i	$-0.352170\pi$
$431$	−2.12663	−	1.22781i	−0.102436	−	0.0591415i	−0.550343	+	0.834939i	$0.685503\pi$
$432$	−11.0877	−	14.3456i	−0.533455	−	0.690201i
$433$			12.4545i			0.598525i	0.954171	+	0.299262i	$0.0967406\pi$
$433$			12.4545i			0.598525i	−0.954171	+	0.299262i	$0.903259\pi$
$434$	0.196940	−	0.310340i	0.00945342	−	0.0148968i
$435$	21.9386	−	4.89052i	1.05188	−	0.234483i
$436$	1.16936	−	2.02539i	0.0560022	−	0.0969987i
$437$	7.59610			0.363371
$438$	0.370727	−	0.340504i	0.0177140	−	0.0162699i
$439$			17.5300i			0.836663i	0.908294	+	0.418331i	$0.137385\pi$
$439$			17.5300i			0.836663i	−0.908294	+	0.418331i	$0.862615\pi$
$440$	13.7141			0.653794
$441$	3.52542	−	20.7020i	0.167877	−	0.985808i
$442$	−2.31739			−0.110227
$443$			9.00464i			0.427824i	0.976853	+	0.213912i	$0.0686205\pi$
$443$			9.00464i			0.427824i	−0.976853	+	0.213912i	$0.931379\pi$
$444$	5.61636	+	25.1947i	0.266541	+	1.19569i
$445$	−13.2111			−0.626266
$446$	0.945337	−	1.63737i	0.0447630	−	0.0775318i
$447$	9.92793	+	10.8091i	0.469575	+	0.511254i
$448$	−8.50761	+	13.4064i	−0.401947	+	0.633392i
$449$		−	30.8120i		−	1.45411i	−0.686581	−	0.727054i	$-0.740889\pi$
$449$		−	30.8120i		−	1.45411i	0.686581	−	0.727054i	$-0.259111\pi$
$450$	−3.83457	−	0.326474i	−0.180763	−	0.0153902i
$451$	−21.1063	−	12.1857i	−0.993856	−	0.573803i
$452$	−3.59154	+	2.07357i	−0.168932	+	0.0975327i
$453$	−1.26493	−	5.67443i	−0.0594317	−	0.266608i
$454$	−5.02371	+	2.90044i	−0.235775	+	0.136125i
$455$	−16.0196	−	10.1659i	−0.751009	−	0.476586i
$456$	1.10452	+	4.95484i	0.0517240	+	0.232032i
$457$	13.8286			0.646874			0.323437	−	0.946250i	$-0.395162\pi$
$457$	13.8286			0.646874			0.323437	+	0.946250i	$0.395162\pi$
$458$	1.60260	−	2.77578i	0.0748846	−	0.129704i
$459$	17.3287	−	2.34305i	0.808834	−	0.109364i
$460$	15.1174	−	8.72803i	0.704852	−	0.406947i
$461$	6.16989	−	10.6866i	0.287360	−	0.497723i	−0.685818	−	0.727773i	$-0.740556\pi$
$461$	6.16989	−	10.6866i	0.287360	−	0.497723i	0.973179	+	0.230050i	$0.0738889\pi$
$462$	4.93608	+	1.78023i	0.229647	+	0.0828240i
$463$	6.37802	+	11.0471i	0.296412	+	0.513401i	0.975312	−	0.220830i	$-0.0708765\pi$
$463$	6.37802	+	11.0471i	0.296412	+	0.513401i	−0.678900	+	0.734230i	$0.737543\pi$
$464$	−12.8141	−	7.39825i	−0.594882	−	0.343455i
$465$	1.69501	+	1.84546i	0.0786044	+	0.0855811i
$466$	−3.05303	−	5.28801i	−0.141429	−	0.244962i
$467$	−5.48999	−	9.50894i	−0.254046	−	0.440021i	0.710590	−	0.703607i	$-0.248428\pi$
$467$	−5.48999	−	9.50894i	−0.254046	−	0.440021i	−0.964636	+	0.263585i	$0.915095\pi$
$468$	−13.4041	−	1.14123i	−0.619607	−	0.0527532i
$469$	−2.23370	+	3.51988i	−0.103143	+	0.162533i
$470$	3.15730	+	1.82287i	0.145635	+	0.0840825i
$471$	−8.67025	+	27.6107i	−0.399504	+	1.27223i
$472$			5.39057i			0.248121i
$473$			16.0683i			0.738823i
$474$	1.41485	−	4.50563i	0.0649861	−	0.206950i
$475$	−9.63396	−	5.56217i	−0.442036	−	0.255210i
$476$	−7.89406	−	15.0993i	−0.361824	−	0.692075i
$477$	7.34829	+	15.6630i	0.336455	+	0.717160i
$478$	−4.01665	−	6.95704i	−0.183717	−	0.318208i
$479$	−5.59729	−	9.69478i	−0.255747	−	0.442966i	0.709351	−	0.704855i	$-0.248988\pi$
$479$	−5.59729	−	9.69478i	−0.255747	−	0.442966i	−0.965098	+	0.261889i	$0.915655\pi$
$480$	11.9241	+	12.9824i	0.544258	+	0.592565i
$481$	15.8043	+	9.12464i	0.720616	+	0.416048i
$482$	3.13352	+	5.42741i	0.142728	+	0.247212i
$483$	13.4450	−	2.41134i	0.611769	−	0.109720i
$484$	4.00191	−	6.93152i	0.181905	−	0.315069i
$485$	15.2645	−	8.81298i	0.693126	−	0.400177i
$486$	−4.57537	+	0.226492i	−0.207543	+	0.0102739i
$487$	−1.48332	+	2.56919i	−0.0672158	+	0.116421i	−0.897675	−	0.440659i	$-0.854745\pi$
$487$	−1.48332	+	2.56919i	−0.0672158	+	0.116421i	0.830459	+	0.557080i	$0.188078\pi$
$488$	1.84037			0.0833097
$489$	−9.54666	−	42.8259i	−0.431715	−	1.93665i
$490$	−0.526553	+	6.27318i	−0.0237872	+	0.283393i
$491$	−20.1795	+	11.6507i	−0.910690	+	0.525787i	−0.880653	−	0.473762i	$-0.842896\pi$
$491$	−20.1795	+	11.6507i	−0.910690	+	0.525787i	−0.0300367	+	0.999549i	$0.509562\pi$
$492$	−4.51070	−	20.2348i	−0.203358	−	0.912256i
$493$	12.3586	−	7.13524i	0.556603	−	0.321355i
$494$	1.51976	+	0.877435i	0.0683773	+	0.0394776i
$495$	−20.4501	+	29.3511i	−0.919162	+	1.31923i
$496$		−	1.64952i		−	0.0740654i
$497$	30.4107	+	19.2985i	1.36411	+	0.865654i
$498$	3.78301	+	4.11878i	0.169521	+	0.184567i
$499$	2.29296	−	3.97152i	0.102647	−	0.177790i	−0.810127	−	0.586254i	$-0.800602\pi$
$499$	2.29296	−	3.97152i	0.102647	−	0.177790i	0.912774	+	0.408464i	$0.133935\pi$
$500$	3.71723			0.166240
$501$	−0.660121	−	2.96127i	−0.0294920	−	0.132300i
$502$			7.85751i			0.350698i
$503$	−23.1383			−1.03169			−0.515844	−	0.856683i	$-0.672521\pi$
$503$	−23.1383			−1.03169			−0.515844	+	0.856683i	$0.672521\pi$
$504$	3.52788	+	8.41938i	0.157144	+	0.375029i
$505$	52.5081			2.33658
$506$			3.41313i			0.151732i
$507$	9.57875	−	8.79787i	0.425407	−	0.390727i
$508$	5.26039			0.233392
$509$	4.82853	−	8.36326i	0.214021	−	0.370695i	−0.738948	−	0.673762i	$-0.764677\pi$
$509$	4.82853	−	8.36326i	0.214021	−	0.370695i	0.952969	+	0.303067i	$0.0980106\pi$
$510$	−5.11637	+	1.14053i	−0.226557	+	0.0505036i
$511$	2.31873	−	1.21226i	0.102575	−	0.0536271i
$512$		−	19.6301i		−	0.867536i
$513$	−12.2515	−	5.02459i	−0.540915	−	0.221841i
$514$	0.776931	+	0.448561i	0.0342690	+	0.0197852i
$515$	26.0252	−	15.0257i	1.14681	−	0.662110i
$516$	−10.0667	+	9.24604i	−0.443161	+	0.407034i
$517$	13.6796	−	7.89791i	0.601627	−	0.347350i
$518$	0.253457	−	6.04982i	0.0111362	−	0.265814i
$519$	−39.5384	−	12.4158i	−1.73555	−	0.544992i
$520$	8.24748			0.361676
$521$	5.00035	−	8.66086i	0.219069	−	0.379439i	−0.735454	−	0.677574i	$-0.763031\pi$
$521$	5.00035	−	8.66086i	0.219069	−	0.379439i	0.954524	+	0.298135i	$0.0963646\pi$
$522$	−3.38453	+	1.58785i	−0.148137	+	0.0694983i
$523$	−10.7796	+	6.22361i	−0.471359	+	0.272139i	−0.716809	−	0.697270i	$-0.754398\pi$
$523$	−10.7796	+	6.22361i	−0.471359	+	0.272139i	0.245449	+	0.969409i	$0.421065\pi$
$524$	−7.15531	+	12.3934i	−0.312581	+	0.541406i
$525$	−18.8177	−	6.78673i	−0.821271	−	0.296197i
$526$	−2.38289	−	4.12729i	−0.103899	−	0.179959i
$527$	1.37774	+	0.795437i	0.0600152	+	0.0346498i
$528$	22.9848	−	5.12372i	1.00028	−	0.222981i
$529$	−7.05755	−	12.2240i	−0.306850	−	0.531480i
$530$	−2.59320	−	4.49156i	−0.112641	−	0.195101i
$531$	−11.5370	−	8.03826i	−0.500662	−	0.348831i
$532$	−0.540075	+	12.8912i	−0.0234152	+	0.558904i
$533$	−12.6930	−	7.32833i	−0.549797	−	0.317425i
$534$	2.14468	−	0.478089i	0.0928095	−	0.0206889i
$535$			10.6188i			0.459091i
$536$		−	1.81217i		−	0.0782737i
$537$	−29.7445	−	32.3845i	−1.28357	−	1.39750i
$538$	−0.154356	−	0.0891175i	−0.00665476	−	0.00384213i
$539$	22.3977	+	15.5656i	0.964735	+	0.670458i
$540$	−30.1556	+	4.07740i	−1.29769	+	0.175463i
$541$	6.96514	+	12.0640i	0.299455	+	0.518671i	0.976011	−	0.217720i	$-0.0698619\pi$
$541$	6.96514	+	12.0640i	0.299455	+	0.518671i	−0.676557	+	0.736391i	$0.736529\pi$
$542$	−3.37547	−	5.84648i	−0.144989	−	0.251128i
$543$	−11.6253	+	37.0212i	−0.498890	+	1.58873i
$544$	9.69211	+	5.59574i	0.415546	+	0.239916i
$545$	−1.87003	−	3.23898i	−0.0801032	−	0.138743i
$546$	2.96850	+	1.07061i	0.127040	+	0.0458179i
$547$	−21.6768	+	37.5454i	−0.926834	+	1.60532i	−0.138250	+	0.990397i	$0.544148\pi$
$547$	−21.6768	+	37.5454i	−0.926834	+	1.60532i	−0.788584	+	0.614926i	$0.789186\pi$
$548$	−20.2331	+	11.6816i	−0.864316	+	0.499013i
$549$	−2.74431	+	3.93879i	−0.117124	+	0.168103i
$550$	2.49923	−	4.32879i	0.106567	−	0.184580i
$551$	−10.8065			−0.460372
$552$	−4.37309	+	4.01659i	−0.186131	+	0.170957i
$553$	13.1529	−	20.7265i	0.559320	−	0.881382i
$554$	−3.38062	+	1.95180i	−0.143629	+	0.0829241i
$555$	39.3839	+	12.3673i	1.67176	+	0.524961i
$556$	−22.1026	+	12.7610i	−0.937361	+	0.541186i
$557$	−31.1339	−	17.9752i	−1.31919	−	0.761632i	−0.335588	−	0.942009i	$-0.608935\pi$
$557$	−31.1339	−	17.9752i	−1.31919	−	0.761632i	−0.983598	+	0.180377i	$0.942268\pi$
$558$	−0.341952	−	0.238251i	−0.0144760	−	0.0100860i
$559$			9.66329i			0.408714i
$560$	13.0894	+	25.0367i	0.553129	+	1.05799i
$561$	−6.80430	+	21.6685i	−0.287278	+	0.914846i
$562$	0.964340	−	1.67029i	0.0406782	−	0.0704568i
$563$	6.11108			0.257551			0.128776	−	0.991674i	$-0.458895\pi$
$563$	6.11108			0.257551			0.128776	+	0.991674i	$0.458895\pi$
$564$	12.8195	+	4.02554i	0.539797	+	0.169506i
$565$			6.63207i			0.279013i
$566$	0.873481			0.0367151
$567$	−23.2800	−	5.00432i	−0.977667	−	0.210162i
$568$	−15.6566			−0.656935
$569$			19.3045i			0.809285i	0.914475	+	0.404642i	$0.132604\pi$
$569$			19.3045i			0.809285i	−0.914475	+	0.404642i	$0.867396\pi$
$570$	3.78720	+	1.18925i	0.158628	+	0.0498121i
$571$	12.7224			0.532415			0.266207	−	0.963916i	$-0.414229\pi$
$571$	12.7224			0.532415			0.266207	+	0.963916i	$0.414229\pi$
$572$	8.73631	−	15.1317i	0.365284	−	0.632690i
$573$	−2.22558	+	7.08745i	−0.0929751	+	0.296083i
$574$	−0.203560	+	4.85883i	−0.00849644	+	0.202804i
$575$		−	13.0118i		−	0.542628i
$576$	14.7720	+	10.2922i	0.615500	+	0.428843i
$577$	7.05520	+	4.07332i	0.293712	+	0.169575i	0.639615	−	0.768696i	$-0.279094\pi$
$577$	7.05520	+	4.07332i	0.293712	+	0.169575i	−0.345903	+	0.938270i	$0.612427\pi$
$578$	1.44429	−	0.833863i	0.0600747	−	0.0346841i
$579$	38.5773	+	12.1140i	1.60322	+	0.503439i
$580$	−21.5066	+	12.4168i	−0.893012	+	0.515581i
$581$	13.4682	+	25.7612i	0.558755	+	1.06875i
$582$	−2.15911	+	1.98309i	−0.0894979	+	0.0822019i
$583$	−22.4711			−0.930657
$584$	−0.568693	+	0.985005i	−0.0235327	+	0.0407598i
$585$	−12.2984	+	17.6514i	−0.508476	+	0.729795i
$586$	1.54270	−	0.890680i	0.0637285	−	0.0367937i
$587$	12.3041	−	21.3113i	0.507843	−	0.879610i	−0.492116	−	0.870530i	$-0.663776\pi$
$587$	12.3041	−	21.3113i	0.507843	−	0.879610i	0.999959	−	0.00908019i	$-0.00289036\pi$
$588$	3.13631	+	22.9887i	0.129339	+	0.948038i
$589$	−0.602354	−	1.04331i	−0.0248196	−	0.0429888i
$590$	3.65043	+	2.10758i	0.150286	+	0.0867676i
$591$	9.74571	−	31.0355i	0.400885	−	1.27663i
$592$	−13.5872	−	23.5336i	−0.558429	−	0.967227i
$593$	−18.9321	−	32.7913i	−0.777447	−	1.34658i	−0.933409	−	0.358814i	$-0.883181\pi$
$593$	−18.9321	−	32.7913i	−0.777447	−	1.34658i	0.155962	−	0.987763i	$-0.450152\pi$
$594$	2.25768	−	5.50490i	0.0926338	−	0.225869i
$595$	−27.2236	−	1.14053i	−1.11606	−	0.0467572i
$596$	−14.0428	−	8.10762i	−0.575216	−	0.332101i
$597$	5.31590	+	5.78773i	0.217565	+	0.236876i
$598$			2.05261i			0.0839375i
$599$		−	10.6529i		−	0.435268i	−0.976030	−	0.217634i	$-0.930166\pi$
$599$		−	10.6529i		−	0.435268i	0.976030	−	0.217634i	$-0.0698339\pi$
$600$	8.48740	−	1.89199i	0.346497	−	0.0772404i
$601$	39.8636	+	23.0153i	1.62607	+	0.938812i	0.985250	+	0.171122i	$0.0547391\pi$
$601$	39.8636	+	23.0153i	1.62607	+	0.938812i	0.640821	+	0.767691i	$0.278594\pi$
$602$	2.84140	−	1.48551i	0.115807	−	0.0605449i
$603$	3.87843	+	2.70225i	0.157942	+	0.110044i
$604$	3.21161	+	5.56267i	0.130679	+	0.226342i
$605$	−6.39981	−	11.0848i	−0.260189	−	0.450661i
$606$	−8.52414	+	1.90019i	−0.346270	+	0.0771897i
$607$	3.74063	+	2.15965i	0.151827	+	0.0876576i	0.573989	−	0.818863i	$-0.305395\pi$
$607$	3.74063	+	2.15965i	0.151827	+	0.0876576i	−0.422162	+	0.906521i	$0.638729\pi$
$608$	−4.23745	−	7.33947i	−0.171851	−	0.297655i
$609$	−19.1274	+	3.43046i	−0.775080	+	0.139009i
$610$	0.719539	−	1.24628i	0.0291333	−	0.0504603i
$611$	8.22672	−	4.74970i	0.332818	−	0.192152i
$612$	−17.4905	+	8.20565i	−0.707011	+	0.331694i
$613$	14.3838	−	24.9135i	0.580956	−	1.00624i	−0.414411	−	0.910090i	$-0.636012\pi$
$613$	14.3838	−	24.9135i	0.580956	−	1.00624i	0.995366	−	0.0961549i	$-0.0306544\pi$
$614$	−6.34846			−0.256203
$615$	−31.6307	−	9.93259i	−1.27547	−	0.400521i
$616$	−11.8461	−	0.496291i	−0.477293	−	0.0199961i
$617$	0.935498	−	0.540110i	0.0376617	−	0.0217440i	−0.481051	−	0.876693i	$-0.659745\pi$
$617$	0.935498	−	0.540110i	0.0376617	−	0.0217440i	0.518713	+	0.854949i	$0.326411\pi$
$618$	−3.68117	+	3.38107i	−0.148078	+	0.136007i
$619$	−6.57128	+	3.79393i	−0.264122	+	0.152491i	−0.626214	−	0.779652i	$-0.715396\pi$
$619$	−6.57128	+	3.79393i	−0.264122	+	0.152491i	0.362091	+	0.932143i	$0.382063\pi$
$620$	−2.39755	−	1.38423i	−0.0962881	−	0.0555920i
$621$	−2.07534	−	15.3488i	−0.0832806	−	0.615925i
$622$		−	3.23944i		−	0.129890i
$623$	11.4116	+	0.478089i	0.457197	+	0.0191542i
$624$	13.8227	−	3.08134i	0.553352	−	0.123352i
$625$	13.8854	−	24.0502i	0.555416	−	0.962010i
$626$	3.98316			0.159199
$627$	12.6667	−	11.6341i	0.505859	−	0.464620i
$628$		−	31.9741i		−	1.27591i
$629$	26.2082			1.04499
$630$	7.08082	+	0.902729i	0.282107	+	0.0359656i
$631$	35.0387			1.39487			0.697435	−	0.716648i	$-0.254325\pi$
$631$	35.0387			1.39487			0.697435	+	0.716648i	$0.254325\pi$
$632$			10.6708i			0.424462i
$633$	2.59388	+	11.6360i	0.103098	+	0.462491i
$634$	−3.27786			−0.130181
$635$	4.20618	−	7.28531i	0.166917	−	0.289109i
$636$	−12.9303	−	14.0780i	−0.512719	−	0.558227i
$637$	13.4697	+	9.36096i	0.533687	+	0.370895i
$638$		−	4.85564i		−	0.192237i
$639$	23.3466	−	33.5084i	0.923578	−	1.32557i
$640$	−22.3015	−	12.8758i	−0.881544	−	0.508960i
$641$	26.9229	−	15.5439i	1.06339	−	0.613949i	0.137023	−	0.990568i	$-0.456247\pi$
$641$	26.9229	−	15.5439i	1.06339	−	0.613949i	0.926368	+	0.376619i	$0.122913\pi$
$642$	−0.384277	−	1.72385i	−0.0151662	−	0.0680350i
$643$	0.977928	−	0.564607i	0.0385657	−	0.0222659i	−0.480593	−	0.876944i	$-0.659579\pi$
$643$	0.977928	−	0.564607i	0.0385657	−	0.0222659i	0.519159	+	0.854678i	$0.326245\pi$
$644$	−13.3741	+	6.99212i	−0.527014	+	0.275528i
$645$	4.75591	+	21.3348i	0.187264	+	0.840057i
$646$	2.52021			0.0991564
$647$	−13.5992	+	23.5545i	−0.534640	+	0.926023i	0.464541	+	0.885552i	$0.346219\pi$
$647$	−13.5992	+	23.5545i	−0.534640	+	0.926023i	−0.999181	+	0.0404713i	$0.987114\pi$
$648$	9.71005	−	3.58553i	0.381447	−	0.140853i
$649$	15.8162	−	9.13148i	0.620839	−	0.358442i
$650$	1.50300	−	2.60328i	0.0589526	−	0.102109i
$651$	−1.39735	−	1.65543i	−0.0547666	−	0.0648814i
$652$	24.2386	+	41.9824i	0.949256	+	1.64416i
$653$	−19.3030	−	11.1446i	−0.755384	−	0.436121i	0.0722517	−	0.997386i	$-0.476981\pi$
$653$	−19.3030	−	11.1446i	−0.755384	−	0.436121i	−0.827636	+	0.561265i	$0.810315\pi$
$654$	0.420793	+	0.458141i	0.0164543	+	0.0179147i
$655$	11.4427	+	19.8193i	0.447102	+	0.774404i
$656$	10.9123	+	18.9007i	0.426055	+	0.737949i
$657$	−1.26011	−	2.68594i	−0.0491614	−	0.104788i
$658$	−2.66128	−	1.68883i	−0.103747	−	0.0658375i
$659$	−7.69208	−	4.44103i	−0.299641	−	0.172998i	0.342641	−	0.939467i	$-0.388679\pi$
$659$	−7.69208	−	4.44103i	−0.299641	−	0.172998i	−0.642282	+	0.766469i	$0.722012\pi$
$660$	11.8409	−	37.7078i	0.460907	−	1.46778i
$661$			19.3670i			0.753291i	0.926358	+	0.376645i	$0.122922\pi$
$661$			19.3670i			0.753291i	−0.926358	+	0.376645i	$0.877078\pi$
$662$			5.58945i			0.217240i
$663$	−4.09202	+	13.0312i	−0.158921	+	0.506089i
$664$	−10.9434	−	6.31819i	−0.424687	−	0.245193i
$665$	17.4216	+	11.0557i	0.675583	+	0.428721i
$666$	−6.84112	−	0.582451i	−0.265088	−	0.0225695i
$667$	−6.31999	−	10.9465i	−0.244711	−	0.423852i
$668$	1.67602	+	2.90295i	0.0648472	+	0.112319i
$669$	−7.53803	−	8.20709i	−0.291437	−	0.317304i
$670$	−1.22718	−	0.708512i	−0.0474101	−	0.0273722i
$671$	−3.11754	−	5.39973i	−0.120351	−	0.208454i
$672$	−9.83011	−	11.6456i	−0.379205	−	0.449240i
$673$	11.5828	−	20.0620i	0.446484	−	0.773333i	−0.551670	−	0.834062i	$-0.686009\pi$
$673$	11.5828	−	20.0620i	0.446484	−	0.773333i	0.998154	+	0.0607292i	$0.0193426\pi$
$674$	1.69310	−	0.977511i	0.0652157	−	0.0376523i
$675$	−8.60689	+	20.9862i	−0.331279	+	0.807757i
$676$	−7.18476	+	12.4444i	−0.276337	+	0.478630i
$677$	3.12693			0.120177			0.0600887	−	0.998193i	$-0.480862\pi$
$677$	3.12693			0.120177			0.0600887	+	0.998193i	$0.480862\pi$
$678$	−0.240004	−	1.07665i	−0.00921730	−	0.0413484i
$679$	−13.5043	+	7.06017i	−0.518247	+	0.270944i
$680$	10.2576	−	5.92220i	0.393359	−	0.227106i
$681$	7.43900	+	33.3710i	0.285063	+	1.27878i
$682$	0.468786	−	0.270654i	0.0179507	−	0.0103639i
$683$	−27.1966	−	15.7020i	−1.04065	−	0.600819i	−0.120632	−	0.992697i	$-0.538492\pi$
$683$	−27.1966	−	15.7020i	−1.04065	−	0.600819i	−0.920017	+	0.391878i	$0.871825\pi$
$684$	14.5773	+	1.24111i	0.557378	+	0.0474550i
$685$			37.3621i			1.42753i
$686$	0.681848	−	5.39966i	0.0260331	−	0.206160i
$687$	−12.7790	−	13.9132i	−0.487549	−	0.530822i
$688$	7.19462	−	12.4614i	0.274292	−	0.475088i
$689$	−13.5138			−0.514835
$690$	1.01022	+	4.53179i	0.0384584	+	0.172522i
$691$		−	44.1739i		−	1.68045i	−0.542235	−	0.840227i	$-0.682422\pi$
$691$		−	44.1739i		−	1.68045i	0.542235	−	0.840227i	$-0.317578\pi$
$692$	45.7868			1.74055
$693$	18.7267	−	24.6132i	0.711370	−	0.934977i
$694$	7.83164			0.297285
$695$			40.8144i			1.54818i
$696$	6.22132	−	5.71415i	0.235819	−	0.216594i
$697$	−21.0488			−0.797280
$698$	−3.48043	+	6.02828i	−0.131736	+	0.228174i
$699$	−35.1266	+	7.83036i	−1.32861	+	0.296171i
$700$	22.0820	+	0.925123i	0.834621	+	0.0349664i
$701$			9.69906i			0.366328i	0.983082	+	0.183164i	$0.0586340\pi$
$701$			9.69906i			0.366328i	−0.983082	+	0.183164i	$0.941366\pi$
$702$	1.35774	−	3.31058i	0.0512446	−	0.124950i
$703$	−17.1876	−	9.92326i	−0.648242	−	0.374263i
$704$	−20.2511	+	11.6920i	−0.763242	+	0.440658i
$705$	15.8255	−	14.5354i	0.596023	−	0.547434i
$706$	1.16775	−	0.674202i	0.0439490	−	0.0253739i
$707$	−45.3560	−	1.90019i	−1.70579	−	0.0714638i
$708$	14.8217	+	4.65429i	0.557035	+	0.174919i
$709$	−1.09786			−0.0412311			−0.0206156	−	0.999787i	$-0.506563\pi$
$709$	−1.09786			−0.0412311			−0.0206156	+	0.999787i	$0.506563\pi$
$710$	−6.12132	+	10.6024i	−0.229729	+	0.397903i
$711$	−22.8378	−	15.9120i	−0.856485	−	0.596746i
$712$	−4.29977	+	2.48247i	−0.161141	+	0.0930346i
$713$	0.704553	−	1.22032i	0.0263857	−	0.0457014i
$714$	4.46074	−	0.800027i	0.166939	−	0.0299402i
$715$	−13.9710	−	24.1985i	−0.522486	−	0.904972i
$716$	42.0728	+	24.2908i	1.57233	+	0.907788i
$717$	−46.2135	+	10.3018i	−1.72588	+	0.384729i
$718$	0.900826	+	1.56028i	0.0336185	+	0.0582290i
$719$	11.3648	+	19.6844i	0.423835	+	0.734103i	0.996311	−	0.0858183i	$-0.0273505\pi$
$719$	11.3648	+	19.6844i	0.423835	+	0.734103i	−0.572476	+	0.819921i	$0.694017\pi$
$720$	29.0016	−	13.6061i	1.08083	−	0.507068i
$721$	−23.0241	+	12.0372i	−0.857462	+	0.448289i
$722$	3.18269	+	1.83753i	0.118448	+	0.0683858i
$723$	36.0527	−	8.03679i	1.34081	−	0.298891i
$724$		−	42.8718i		−	1.59332i
$725$			18.5110i			0.687482i
$726$	1.44008	+	1.56790i	0.0534465	+	0.0581903i
$727$	−3.47919	−	2.00871i	−0.129036	−	0.0744990i	0.434093	−	0.900868i	$-0.357069\pi$
$727$	−3.47919	−	2.00871i	−0.129036	−	0.0744990i	−0.563129	+	0.826369i	$0.690402\pi$
$728$	−7.12409	−	0.298463i	−0.264036	−	0.0110618i
$729$	−6.80552	+	26.1282i	−0.252056	+	0.967713i
$730$	0.444689	+	0.770224i	0.0164587	+	0.0285073i
$731$	6.93885	+	12.0184i	0.256643	+	0.444518i
$732$	1.58900	−	5.06022i	0.0587311	−	0.187031i
$733$	−7.20188	−	4.15801i	−0.266008	−	0.153580i	0.361064	−	0.932541i	$-0.382413\pi$
$733$	−7.20188	−	4.15801i	−0.266008	−	0.153580i	−0.627072	+	0.778961i	$0.715747\pi$
$734$	−3.88296	−	6.72549i	−0.143323	−	0.248242i
$735$	34.3457	+	14.0380i	1.26686	+	0.517801i
$736$	4.95640	−	8.58473i	0.182695	−	0.316437i
$737$	−5.31698	+	3.06976i	−0.195854	+	0.113076i
$738$	5.49435	+	0.467788i	0.202250	+	0.0172195i
$739$	−2.28507	+	3.95785i	−0.0840576	+	0.145592i	−0.904989	−	0.425434i	$-0.860121\pi$
$739$	−2.28507	+	3.95785i	−0.0840576	+	0.145592i	0.820932	+	0.571026i	$0.193455\pi$
$740$	−45.6079			−1.67658
$741$	7.61759	−	6.99659i	0.279839	−	0.257026i
$742$	2.07744	+	3.97361i	0.0762653	+	0.145876i
$743$	1.51258	−	0.873286i	0.0554910	−	0.0320378i	−0.471998	−	0.881600i	$-0.656467\pi$
$743$	1.51258	−	0.873286i	0.0554910	−	0.0320378i	0.527489	+	0.849562i	$0.323134\pi$
$744$	0.898447	+	0.282128i	0.0329387	+	0.0103433i
$745$	−22.4571	+	12.9656i	−0.822764	+	0.475023i
$746$	5.11954	+	2.95577i	0.187440	+	0.108218i
$747$	29.8408	−	13.9998i	1.09182	−	0.512226i
$748$		−	25.0929i		−	0.917486i
$749$	0.384277	−	9.17242i	0.0140412	−	0.335153i
$750$	−0.296215	+	0.943307i	−0.0108162	+	0.0344447i
$751$	−2.91647	+	5.05147i	−0.106423	+	0.184331i	−0.914319	−	0.404995i	$-0.867273\pi$
$751$	−2.91647	+	5.05147i	−0.106423	+	0.184331i	0.807895	+	0.589326i	$0.200607\pi$
$752$	−14.1452			−0.515822
$753$	44.1845	+	13.8747i	1.61017	+	0.505622i
$754$		−	2.92012i		−	0.106345i
$755$	10.2719			0.373834
$756$	26.1957	−	2.43074i	0.952728	−	0.0884051i
$757$	−42.0967			−1.53003			−0.765015	−	0.644013i	$-0.777268\pi$
$757$	−42.0967			−1.53003			−0.765015	+	0.644013i	$0.777268\pi$
$758$			5.12982i			0.186323i
$759$	19.1928	+	6.02686i	0.696653	+	0.218761i
$760$	−8.96932			−0.325352
$761$	0.293431	−	0.508238i	0.0106369	−	0.0184236i	−0.860658	−	0.509184i	$-0.829947\pi$
$761$	0.293431	−	0.508238i	0.0106369	−	0.0184236i	0.871295	+	0.490760i	$0.163281\pi$
$762$	−0.419185	+	1.33491i	−0.0151855	+	0.0483586i
$763$	1.49810	+	2.86547i	0.0542348	+	0.103737i
$764$		−	8.20750i		−	0.296937i
$765$	−2.62097	+	30.7844i	−0.0947615	+	1.11301i
$766$	7.14208	+	4.12348i	0.258054	+	0.148987i
$767$	9.51165	−	5.49155i	0.343446	−	0.198288i
$768$	−15.7479	−	4.94511i	−0.568253	−	0.178441i
$769$	−45.1905	+	26.0907i	−1.62961	+	0.940856i	−0.645403	+	0.763843i	$0.723310\pi$
$769$	−45.1905	+	26.0907i	−1.62961	+	0.940856i	−0.984208	+	0.177014i	$0.943356\pi$
$770$	−4.96761	+	7.82800i	−0.179020	+	0.282102i
$771$	3.89426	−	3.57679i	0.140248	−	0.128815i
$772$	−44.6738			−1.60785
$773$	−16.3906	+	28.3894i	−0.589530	+	1.02110i	0.404764	+	0.914421i	$0.367354\pi$
$773$	−16.3906	+	28.3894i	−0.589530	+	1.02110i	−0.994294	+	0.106674i	$0.965980\pi$
$774$	−1.54415	−	3.29137i	−0.0555032	−	0.118306i
$775$	−1.78714	+	1.03180i	−0.0641959	+	0.0370635i
$776$	3.31206	−	5.73666i	0.118896	−	0.205934i
$777$	−33.5719	−	12.1080i	−1.20439	−	0.434370i
$778$	5.03093	+	8.71383i	0.180368	+	0.312406i
$779$	13.8040	+	7.96973i	0.494579	+	0.285545i
$780$	7.12097	−	22.6770i	0.254972	−	0.811967i
$781$	26.5218	+	45.9371i	0.949024	+	1.64376i
$782$	1.47390	+	2.55287i	0.0527066	+	0.0912906i
$783$	2.95246	+	21.8358i	0.105512	+	0.780346i
$784$	−10.4005	−	22.1001i	−0.371446	−	0.789291i
$785$	−44.2821	−	25.5663i	−1.58050	−	0.912500i
$786$	−2.57483	−	2.80336i	−0.0918411	−	0.0999927i
$787$		−	40.9934i		−	1.46126i	−0.682775	−	0.730628i	$-0.739227\pi$
$787$		−	40.9934i		−	1.46126i	0.682775	−	0.730628i	$-0.260773\pi$
$788$			35.9402i			1.28032i
$789$	−27.4164	+	6.11160i	−0.976048	+	0.217579i
$790$	7.22614	+	4.17201i	0.257095	+	0.148434i
$791$	0.240004	−	5.72872i	0.00853356	−	0.203690i
$792$	−1.14049	+	13.3955i	−0.0405256	+	0.475990i
$793$	−1.87485	−	3.24733i	−0.0665778	−	0.115316i
$794$	1.91597	+	3.31856i	0.0679954	+	0.117771i
$795$	−29.8361	+	6.65100i	−1.05818	+	0.235887i
$796$	−7.51921	−	4.34122i	−0.266511	−	0.153870i
$797$	−17.0441	−	29.5213i	−0.603734	−	1.04570i	−0.992250	−	0.124256i	$-0.960346\pi$
$797$	−17.0441	−	29.5213i	−0.603734	−	1.04570i	0.388516	−	0.921442i	$-0.372988\pi$
$798$	−3.22831	−	1.16431i	−0.114281	−	0.0412162i
$799$	6.82116	−	11.8146i	0.241315	−	0.417971i
$800$	−12.5722	+	7.25854i	−0.444493	+	0.256628i
$801$	1.09866	−	12.9042i	0.0388193	−	0.455949i
$802$	−2.69672	+	4.67086i	−0.0952245	+	0.164934i
$803$	3.85340			0.135984
$804$	−4.98268	−	1.56465i	−0.175725	−	0.0551809i
$805$	−1.01022	+	24.1132i	−0.0356055	+	0.849877i
$806$	0.281922	−	0.162768i	0.00993027	−	0.00573324i
$807$	−0.773687	+	0.710615i	−0.0272351	+	0.0250148i
$808$	17.0896	−	9.86670i	0.601211	−	0.347109i
$809$	−6.01547	−	3.47304i	−0.211493	−	0.122105i	0.390512	−	0.920598i	$-0.372298\pi$
$809$	−6.01547	−	3.47304i	−0.211493	−	0.122105i	−0.602005	+	0.798492i	$0.705631\pi$
$810$	1.36830	−	7.97738i	0.0480773	−	0.280297i
$811$			39.8573i			1.39958i	0.714350	+	0.699789i	$0.246723\pi$
$811$			39.8573i			1.39958i	−0.714350	+	0.699789i	$0.753277\pi$
$812$	19.0265	−	9.94725i	0.667700	−	0.349080i
$813$	−38.8364	+	8.65734i	−1.36205	+	0.303626i
$814$	4.45878	−	7.72284i	0.156280	−	0.270685i
$815$	77.5240			2.71555
$816$	14.9790	−	13.7579i	0.524371	−	0.481623i
$817$		−	10.5091i		−	0.367665i
$818$	−1.90071			−0.0664566
$819$	11.2620	−	14.8020i	0.393527	−	0.517225i
$820$	36.6294			1.27915
$821$		−	42.1017i		−	1.46936i	−0.678414	−	0.734680i	$-0.737332\pi$
$821$		−	42.1017i		−	1.46936i	0.678414	−	0.734680i	$-0.262668\pi$
$822$	−1.35208	−	6.06535i	−0.0471591	−	0.211553i
$823$	32.6821			1.13923			0.569614	−	0.821913i	$-0.307093\pi$
$823$	32.6821			1.13923			0.569614	+	0.821913i	$0.307093\pi$
$824$	5.64689	−	9.78070i	0.196719	−	0.340727i
$825$	−19.9286	−	21.6974i	−0.693826	−	0.755408i
$826$	−3.07694	−	1.95261i	−0.107060	−	0.0679399i
$827$			31.4399i			1.09327i	0.837370	+	0.546637i	$0.184092\pi$
$827$			31.4399i			1.09327i	−0.837370	+	0.546637i	$0.815908\pi$
$828$	7.26810	+	15.4921i	0.252584	+	0.538387i
$829$	35.7122	+	20.6185i	1.24034	+	0.716109i	0.969163	−	0.246421i	$-0.0792547\pi$
$829$	35.7122	+	20.6185i	1.24034	+	0.716109i	0.271174	+	0.962530i	$0.412588\pi$
$830$	−8.55721	+	4.94051i	−0.297025	+	0.171488i
$831$	5.00594	+	22.4564i	0.173654	+	0.779005i
$832$	−12.1788	+	7.03141i	−0.422222	+	0.243770i
$833$	23.4742	+	1.97036i	0.813334	+	0.0682689i
$834$	−1.47701	−	6.62578i	−0.0511446	−	0.229432i
$835$	5.36054			0.185509
$836$	−9.50094	+	16.4561i	−0.328597	+	0.569147i
$837$	−1.94355	+	1.50217i	−0.0671790	+	0.0519226i
$838$	3.62173	−	2.09100i	0.125110	−	0.0722326i
$839$	−4.04385	+	7.00416i	−0.139609	+	0.241810i	−0.927349	−	0.374198i	$-0.877918\pi$
$839$	−4.04385	+	7.00416i	−0.139609	+	0.241810i	0.787740	+	0.616009i	$0.211251\pi$
$840$	−15.8756	+	2.84726i	−0.547760	+	0.0982398i
$841$	−5.50894	−	9.54177i	−0.189963	−	0.329026i
$842$	−7.72241	−	4.45853i	−0.266132	−	0.153651i
$843$	−7.68956	−	8.37207i	−0.264843	−	0.288349i
$844$	−6.58576	−	11.4069i	−0.226691	−	0.392641i
$845$	11.4898	+	19.9009i	0.395260	+	0.684611i
$846$	−2.04309	+	2.93236i	−0.0702429	+	0.100817i
$847$	5.12695	+	9.80654i	0.176164	+	0.336957i
$848$	17.4269	+	10.0615i	0.598444	+	0.345512i
$849$	1.54238	−	4.91177i	0.0529345	−	0.168572i
$850$		−	4.31700i		−	0.148072i
$851$		−	23.2138i		−	0.795759i
$852$	−13.5181	+	43.0488i	−0.463122	+	1.47483i
$853$	−24.5887	−	14.1963i	−0.841900	−	0.486071i	0.0160098	−	0.999872i	$-0.494904\pi$
$853$	−24.5887	−	14.1963i	−0.841900	−	0.486071i	−0.857910	+	0.513801i	$0.828237\pi$
$854$	−0.666631	+	1.05048i	−0.0228117	+	0.0359468i
$855$	13.3748	−	19.1963i	0.457408	−	0.656499i
$856$	1.99536	+	3.45606i	0.0682000	+	0.118126i
$857$	−25.6587	−	44.4422i	−0.876485	−	1.51812i	−0.855172	−	0.518344i	$-0.826549\pi$
$857$	−25.6587	−	44.4422i	−0.876485	−	1.51812i	−0.0213132	−	0.999773i	$-0.506785\pi$
$858$	3.14375	+	3.42278i	0.107326	+	0.116852i
$859$	14.5234	+	8.38509i	0.495532	+	0.286096i	0.726867	−	0.686779i	$-0.240976\pi$
$859$	14.5234	+	8.38509i	0.495532	+	0.286096i	−0.231334	+	0.972874i	$0.574309\pi$
$860$	−12.0751	−	20.9146i	−0.411756	−	0.713183i
$861$	26.9628	+	9.72434i	0.918891	+	0.331405i
$862$	−0.360816	+	0.624951i	−0.0122894	+	0.0212859i
$863$	−14.2380	+	8.22033i	−0.484668	+	0.279823i	−0.722360	−	0.691517i	$-0.756943\pi$
$863$	−14.2380	+	8.22033i	−0.484668	+	0.279823i	0.237692	+	0.971341i	$0.423609\pi$
$864$	−13.6725	+	10.5675i	−0.465149	+	0.359513i
$865$	36.6109	−	63.4119i	1.24481	−	2.15607i
$866$	3.66000			0.124372
$867$	−2.13868	−	9.59401i	−0.0726333	−	0.325830i
$868$	2.02089	+	1.28245i	0.0685935	+	0.0435291i
$869$	31.3086	−	18.0760i	1.06207	−	0.613188i
$870$	−1.43717	−	6.44710i	−0.0487248	−	0.218577i
$871$	−3.19757	+	1.84612i	−0.108345	+	0.0625532i
$872$	−1.21726	−	0.702787i	−0.0412217	−	0.0237994i
$873$	7.33884	+	15.6429i	0.248382	+	0.529431i
$874$		−	2.23226i		−	0.0755074i
$875$	−2.75373	+	4.33934i	−0.0930929	+	0.146697i
$876$	2.21732	+	2.41413i	0.0749164	+	0.0815657i
$877$	−3.06175	+	5.30311i	−0.103388	+	0.179073i	−0.913078	−	0.407784i	$-0.866302\pi$
$877$	−3.06175	+	5.30311i	−0.103388	+	0.179073i	0.809690	+	0.586857i	$0.199635\pi$
$878$	5.15154			0.173856
$879$	−2.28440	−	10.2477i	−0.0770509	−	0.345647i
$880$			41.6074i			1.40258i
$881$	41.3283			1.39238			0.696192	−	0.717855i	$-0.254876\pi$
$881$	41.3283			1.39238			0.696192	+	0.717855i	$0.254876\pi$
$882$	−6.08368	−	1.03601i	−0.204848	−	0.0348844i
$883$	24.2918			0.817483			0.408741	−	0.912650i	$-0.365968\pi$
$883$	24.2918			0.817483			0.408741	+	0.912650i	$0.365968\pi$
$884$		−	15.0905i		−	0.507549i
$885$	18.2973	−	16.8056i	0.615056	−	0.564915i
$886$	2.64619			0.0889005
$887$	3.35036	−	5.80299i	0.112494	−	0.194845i	−0.804281	−	0.594249i	$-0.797449\pi$
$887$	3.35036	−	5.80299i	0.112494	−	0.194845i	0.916775	+	0.399404i	$0.130783\pi$
$888$	15.1421	−	3.37544i	0.508134	−	0.113272i
$889$	−3.89690	+	6.14077i	−0.130698	+	0.205955i
$890$			3.88234i			0.130136i
$891$	−26.9687	−	22.4159i	−0.903485	−	0.750962i
$892$	10.6624	+	6.15591i	0.357002	+	0.206115i
$893$	−8.94675	+	5.16541i	−0.299392	+	0.172854i
$894$	3.17647	−	2.91752i	0.106237	−	0.0975764i
$895$	67.2823	−	38.8455i	2.24900	−	1.29846i
$896$	18.7979	+	11.9290i	0.627993	+	0.398521i
$897$	11.5423	+	3.62448i	0.385385	+	0.121018i
$898$	−9.05470			−0.302159
$899$	−1.00232	+	1.73608i	−0.0334294	+	0.0579014i
$900$	2.12596	−	24.9703i	0.0708653	−	0.832342i
$901$	−16.8074	+	9.70376i	−0.559936	+	0.323279i
$902$	−3.58101	+	6.20249i	−0.119235	+	0.206520i
$903$	−3.33604	−	18.6009i	−0.111016	−	0.619000i
$904$	1.24622	+	2.15852i	0.0414487	+	0.0717912i
$905$	−59.3747	−	34.2800i	−1.97368	−	1.13951i
$906$	−1.66754	+	0.371725i	−0.0554003	+	0.0123497i
$907$	−10.1494	−	17.5793i	−0.337005	−	0.583710i	0.646863	−	0.762606i	$-0.276081\pi$
$907$	−10.1494	−	17.5793i	−0.337005	−	0.583710i	−0.983868	+	0.178897i	$0.942747\pi$
$908$	−18.8873	−	32.7138i	−0.626798	−	1.08565i
$909$	−4.36668	+	51.2884i	−0.144834	+	1.70113i
$910$	−2.98746	+	4.70766i	−0.0990332	+	0.156057i
$911$	−30.3982	−	17.5504i	−1.00714	−	0.581472i	−0.0967861	−	0.995305i	$-0.530856\pi$
$911$	−30.3982	−	17.5504i	−1.00714	−	0.581472i	−0.910353	+	0.413833i	$0.864190\pi$
$912$	−15.0325	+	3.35103i	−0.497777	+	0.110964i
$913$			42.8114i			1.41685i
$914$		−	4.06380i		−	0.134419i
$915$	−5.73754	−	6.24679i	−0.189677	−	0.206512i
$916$	18.0756	+	10.4359i	0.597233	+	0.344813i
$917$	−9.16685	−	17.5338i	−0.302716	−	0.579018i
$918$	−0.688551	−	5.09237i	−0.0227256	−	0.168073i
$919$	−16.9132	−	29.2946i	−0.557916	−	0.966339i	−0.997670	−	0.0682206i	$-0.978268\pi$
$919$	−16.9132	−	29.2946i	−0.557916	−	0.966339i	0.439754	−	0.898118i	$-0.355066\pi$
$920$	−5.24555	−	9.08557i	−0.172941	−	0.299542i
$921$	−11.2100	+	35.6988i	−0.369384	+	1.17631i
$922$	−3.14046	−	1.81314i	−0.103425	−	0.0597127i
$923$	15.9499	+	27.6260i	0.524996	+	0.909320i
$924$	−11.5927	+	32.1432i	−0.381371	+	1.05743i
$925$	−16.9981	+	29.4415i	−0.558893	+	0.968031i
$926$	3.24639	−	1.87431i	0.106683	−	0.0615935i
$927$	12.5123	+	26.6703i	0.410959	+	0.875967i
$928$	−7.05115	+	12.2130i	−0.231465	+	0.400910i
$929$	32.1171			1.05373			0.526864	−	0.849950i	$-0.323368\pi$
$929$	32.1171			1.05373			0.526864	+	0.849950i	$0.323368\pi$
$930$	0.542324	−	0.498113i	0.0177835	−	0.0163338i
$931$	−14.6486	−	10.1803i	−0.480087	−	0.333644i
$932$	34.4348	−	19.8810i	1.12795	−	0.651222i
$933$	−18.2161	−	5.72018i	−0.596369	−	0.187270i
$934$	−2.79439	+	1.61334i	−0.0914351	+	0.0527901i
$935$	−34.7520	−	20.0641i	−1.13651	−	0.656166i
$936$	−0.685877	+	8.05590i	−0.0224186	+	0.263315i
$937$		−	13.9224i		−	0.454824i	−0.973799	−	0.227412i	$-0.926974\pi$
$937$		−	13.9224i		−	0.454824i	0.973799	−	0.227412i	$-0.0730263\pi$
$938$	1.03439	+	0.656416i	0.0337739	+	0.0214327i
$939$	7.03343	−	22.3982i	0.229527	−	0.730938i
$940$	−11.8703	+	20.5599i	−0.387166	+	0.670590i
$941$	57.2094			1.86497			0.932487	−	0.361203i	$-0.117634\pi$
$941$	57.2094			1.86497			0.932487	+	0.361203i	$0.117634\pi$
$942$	8.11394	+	2.54792i	0.264367	+	0.0830157i
$943$			18.6438i			0.607127i
$944$	−16.3545			−0.532294
$945$	17.5795	−	38.2230i	0.571861	−	1.24339i
$946$	4.72200			0.153525
$947$			34.4861i			1.12065i	0.828274	+	0.560324i	$0.189323\pi$
$947$			34.4861i			1.12065i	−0.828274	+	0.560324i	$0.810677\pi$
$948$	29.3401	+	9.21330i	0.952922	+	0.299234i
$949$	2.31739			0.0752255
$950$	−1.63455	+	2.83113i	−0.0530318	+	0.0918538i
$951$	−5.78802	+	18.4321i	−0.187689	+	0.597703i
$952$	−9.07469	+	4.74434i	−0.294112	+	0.153765i
$953$		−	2.58761i		−	0.0838209i	−0.999121	−	0.0419104i	$-0.986656\pi$
$953$		−	2.58761i		−	0.0838209i	0.999121	−	0.0419104i	$-0.0133444\pi$
$954$	4.60288	−	2.15944i	0.149024	−	0.0699144i
$955$	−11.3669	−	6.56267i	−0.367824	−	0.212363i
$956$	45.3034	−	26.1559i	1.46522	−	0.845943i
$957$	−27.3043	−	8.57404i	−0.882624	−	0.277159i
$958$	−2.84900	+	1.64487i	−0.0920470	+	0.0531434i
$959$	1.35208	−	32.2731i	0.0436608	−	1.04215i
$960$	−23.4279	+	21.5180i	−0.756132	+	0.694491i
$961$	30.7765			0.992791
$962$	2.68145	−	4.64441i	0.0864535	−	0.149742i
$963$	−10.3721	−	0.883081i	−0.334238	−	0.0284569i
$964$	−35.3426	+	20.4051i	−1.13831	+	0.657203i
$965$	−35.7209	+	61.8704i	−1.14990	+	1.99168i
$966$	−0.708619	−	3.95108i	−0.0227994	−	0.127124i
$967$	2.79472	+	4.84059i	0.0898721	+	0.155663i	0.907457	−	0.420145i	$-0.138021\pi$
$967$	2.79472	+	4.84059i	0.0898721	+	0.155663i	−0.817585	+	0.575808i	$0.804688\pi$
$968$	−4.16585	−	2.40515i	−0.133895	−	0.0773045i
$969$	4.45016	−	14.1717i	0.142960	−	0.455260i
$970$	−2.58986	−	4.48578i	−0.0831555	−	0.144030i
$971$	8.01661	+	13.8852i	0.257265	+	0.445597i	0.965508	−	0.260372i	$-0.0838452\pi$
$971$	8.01661	+	13.8852i	0.257265	+	0.445597i	−0.708243	+	0.705969i	$0.750512\pi$
$972$	−1.47489	−	29.7942i	−0.0473071	−	0.955650i
$973$	1.47701	−	35.2551i	0.0473507	−	1.13023i
$974$	0.755007	+	0.435904i	0.0241920	+	0.0139673i
$975$	−11.9848	−	13.0486i	−0.383821	−	0.417888i
$976$			5.58353i			0.178724i
$977$			43.9026i			1.40457i	0.711896	+	0.702285i	$0.247837\pi$
$977$			43.9026i			1.40457i	−0.711896	+	0.702285i	$0.752163\pi$
$978$	−12.5852	+	2.80547i	−0.402431	+	0.0897091i
$979$	14.5674	+	8.41048i	0.465576	+	0.268800i
$980$	−40.8502	−	3.42884i	−1.30491	−	0.109530i
$981$	3.31926	−	1.55723i	0.105976	−	0.0497185i
$982$	3.42377	+	5.93015i	0.109257	+	0.189239i
$983$	−9.08808	−	15.7410i	−0.289865	−	0.502061i	0.683912	−	0.729564i	$-0.260277\pi$
$983$	−9.08808	−	15.7410i	−0.289865	−	0.502061i	−0.973777	+	0.227503i	$0.926944\pi$
$984$	−12.1611	+	2.71094i	−0.387683	+	0.0864215i
$985$	49.7749	+	28.7376i	1.58596	+	0.915655i
$986$	−2.09683	−	3.63181i	−0.0667766	−	0.115660i
$987$	−14.1959	+	11.9828i	−0.451861	+	0.381417i
$988$	−5.71374	+	9.89649i	−0.181778	+	0.314849i
$989$	10.6453	−	6.14604i	0.338499	−	0.195433i
$990$	8.62540	+	6.00965i	0.274133	+	0.190999i
$991$	−23.8146	+	41.2481i	−0.756496	+	1.31029i	0.188131	+	0.982144i	$0.439757\pi$
$991$	−23.8146	+	41.2481i	−0.756496	+	1.31029i	−0.944627	+	0.328145i	$0.893576\pi$
$992$	−1.57213			−0.0499151
$993$	31.4307	+	9.86979i	0.997423	+	0.313208i
$994$	5.67123	−	8.93677i	0.179880	−	0.283457i
$995$	−12.0246	+	6.94242i	−0.381206	+	0.220090i
$996$	−26.8210	+	24.6345i	−0.849856	+	0.780574i
$997$	28.4838	−	16.4451i	0.902090	−	0.520822i	0.0242120	−	0.999707i	$-0.492292\pi$
$997$	28.4838	−	16.4451i	0.902090	−	0.520822i	0.877878	+	0.478885i	$0.158959\pi$
$998$	−1.16711	−	0.673830i	−0.0369442	−	0.0213297i
$999$	−15.3552	+	37.4406i	−0.485818	+	1.18457i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	63.2.i.b.38.3	yes	10
3.2	odd	2		189.2.i.b.143.3		10
4.3	odd	2		1008.2.ca.b.353.4		10
7.2	even	3		441.2.s.b.362.3		10
7.3	odd	6		441.2.o.c.146.3		10
7.4	even	3		441.2.o.d.146.3		10
7.5	odd	6		63.2.s.b.47.3	yes	10
7.6	odd	2		441.2.i.b.227.3		10
9.2	odd	6		567.2.p.c.80.3		10
9.4	even	3		189.2.s.b.17.3		10
9.5	odd	6		63.2.s.b.59.3	yes	10
9.7	even	3		567.2.p.d.80.3		10
12.11	even	2		3024.2.ca.b.2033.1		10
21.2	odd	6		1323.2.s.b.656.3		10
21.5	even	6		189.2.s.b.89.3		10
21.11	odd	6		1323.2.o.c.440.3		10
21.17	even	6		1323.2.o.d.440.3		10
21.20	even	2		1323.2.i.b.521.3		10
28.19	even	6		1008.2.df.b.929.5		10
36.23	even	6		1008.2.df.b.689.5		10
36.31	odd	6		3024.2.df.b.17.1		10
63.4	even	3		1323.2.o.d.881.3		10
63.5	even	6	inner	63.2.i.b.5.3	✓	10
63.13	odd	6		1323.2.s.b.962.3		10
63.23	odd	6		441.2.i.b.68.3		10
63.31	odd	6		1323.2.o.c.881.3		10
63.32	odd	6		441.2.o.c.293.3		10
63.40	odd	6		189.2.i.b.152.3		10
63.41	even	6		441.2.s.b.374.3		10
63.47	even	6		567.2.p.d.404.3		10
63.58	even	3		1323.2.i.b.1097.3		10
63.59	even	6		441.2.o.d.293.3		10
63.61	odd	6		567.2.p.c.404.3		10
84.47	odd	6		3024.2.df.b.1601.1		10
252.103	even	6		3024.2.ca.b.2609.1		10
252.131	odd	6		1008.2.ca.b.257.4		10

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
63.2.i.b.5.3	✓	10	63.5	even	6	inner
63.2.i.b.38.3	yes	10	1.1	even	1	trivial
63.2.s.b.47.3	yes	10	7.5	odd	6
63.2.s.b.59.3	yes	10	9.5	odd	6
189.2.i.b.143.3		10	3.2	odd	2
189.2.i.b.152.3		10	63.40	odd	6
189.2.s.b.17.3		10	9.4	even	3
189.2.s.b.89.3		10	21.5	even	6
441.2.i.b.68.3		10	63.23	odd	6
441.2.i.b.227.3		10	7.6	odd	2
441.2.o.c.146.3		10	7.3	odd	6
441.2.o.c.293.3		10	63.32	odd	6
441.2.o.d.146.3		10	7.4	even	3
441.2.o.d.293.3		10	63.59	even	6
441.2.s.b.362.3		10	7.2	even	3
441.2.s.b.374.3		10	63.41	even	6
567.2.p.c.80.3		10	9.2	odd	6
567.2.p.c.404.3		10	63.61	odd	6
567.2.p.d.80.3		10	9.7	even	3
567.2.p.d.404.3		10	63.47	even	6
1008.2.ca.b.257.4		10	252.131	odd	6
1008.2.ca.b.353.4		10	4.3	odd	2
1008.2.df.b.689.5		10	36.23	even	6
1008.2.df.b.929.5		10	28.19	even	6
1323.2.i.b.521.3		10	21.20	even	2
1323.2.i.b.1097.3		10	63.58	even	3
1323.2.o.c.440.3		10	21.11	odd	6
1323.2.o.c.881.3		10	63.31	odd	6
1323.2.o.d.440.3		10	21.17	even	6
1323.2.o.d.881.3		10	63.4	even	3
1323.2.s.b.656.3		10	21.2	odd	6
1323.2.s.b.962.3		10	63.13	odd	6
3024.2.ca.b.2033.1		10	12.11	even	2
3024.2.ca.b.2609.1		10	252.103	even	6
3024.2.df.b.17.1		10	36.31	odd	6
3024.2.df.b.1601.1		10	84.47	odd	6

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 63 = 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	63.i (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q-0.293869i q^{2} +(-1.65249 - 0.518912i) q^{3} +1.91364 q^{4} +(1.53014 - 2.65027i) q^{5} +(-0.152492 + 0.485617i) q^{6} +(-1.41763 + 2.23391i) q^{7} -1.15010i q^{8} +(2.46146 + 1.71499i) q^{9} +O(q^{10})\)	\(q-0.293869i q^{2} +(-1.65249 - 0.518912i) q^{3} +1.91364 q^{4} +(1.53014 - 2.65027i) q^{5} +(-0.152492 + 0.485617i) q^{6} +(-1.41763 + 2.23391i) q^{7} -1.15010i q^{8} +(2.46146 + 1.71499i) q^{9} +(-0.778834 - 0.449660i) q^{10} +(-3.37445 + 1.94824i) q^{11} +(-3.16228 - 0.993010i) q^{12} +(-2.02935 + 1.17164i) q^{13} +(0.656477 + 0.416597i) q^{14} +(-3.90379 + 3.58555i) q^{15} +3.48930 q^{16} +(-1.68263 + 2.91440i) q^{17} +(0.503985 - 0.723348i) q^{18} +(2.20696 - 1.27419i) q^{19} +(2.92813 - 5.07167i) q^{20} +(3.50182 - 2.95589i) q^{21} +(0.572527 + 0.991647i) q^{22} +(2.58141 + 1.49038i) q^{23} +(-0.596800 + 1.90053i) q^{24} +(-2.18263 - 3.78042i) q^{25} +(0.344311 + 0.596363i) q^{26} +(-3.17762 - 4.11130i) q^{27} +(-2.71283 + 4.27489i) q^{28} +(-3.67241 - 2.12027i) q^{29} +(1.05368 + 1.14721i) q^{30} -0.472735i q^{31} -3.32560i q^{32} +(6.58721 - 1.46841i) q^{33} +(0.856452 + 0.494473i) q^{34} +(3.75130 + 7.17527i) q^{35} +(4.71035 + 3.28188i) q^{36} +(-3.89395 - 6.74451i) q^{37} +(-0.374446 - 0.648559i) q^{38} +(3.96146 - 0.883081i) q^{39} +(-3.04808 - 1.75981i) q^{40} +(3.12737 + 5.41676i) q^{41} +(-0.868646 - 1.02908i) q^{42} +(2.06191 - 3.57133i) q^{43} +(-6.45748 + 3.72823i) q^{44} +(8.31157 - 3.89937i) q^{45} +(0.437976 - 0.758597i) q^{46} -4.05388 q^{47} +(-5.76605 - 1.81064i) q^{48} +(-2.98068 - 6.33369i) q^{49} +(-1.11095 + 0.641408i) q^{50} +(4.29284 - 3.94288i) q^{51} +(-3.88344 + 2.24211i) q^{52} +(4.99439 + 2.88351i) q^{53} +(-1.20818 + 0.933804i) q^{54} +11.9243i q^{55} +(2.56921 + 1.63041i) q^{56} +(-4.30818 + 0.960372i) q^{57} +(-0.623082 + 1.07921i) q^{58} -4.68705 q^{59} +(-7.47046 + 6.86145i) q^{60} +1.60018i q^{61} -0.138922 q^{62} +(-7.32057 + 3.06745i) q^{63} +6.00131 q^{64} +7.17110i q^{65} +(-0.431520 - 1.93578i) q^{66} +1.57566 q^{67} +(-3.21994 + 5.57711i) q^{68} +(-3.49238 - 3.80236i) q^{69} +(2.10859 - 1.10239i) q^{70} -13.6132i q^{71} +(1.97241 - 2.83093i) q^{72} +(-0.856452 - 0.494473i) q^{73} +(-1.98201 + 1.14431i) q^{74} +(1.64507 + 7.37971i) q^{75} +(4.22333 - 2.43834i) q^{76} +(0.431520 - 10.3001i) q^{77} +(-0.259511 - 1.16415i) q^{78} -9.27815 q^{79} +(5.33910 - 9.24760i) q^{80} +(3.11759 + 8.44279i) q^{81} +(1.59182 - 0.919038i) q^{82} +(5.49361 - 9.51520i) q^{83} +(6.70122 - 5.65651i) q^{84} +(5.14930 + 8.91884i) q^{85} +(-1.04950 - 0.605932i) q^{86} +(4.96840 + 5.40938i) q^{87} +(2.24067 + 3.88095i) q^{88} +(-2.15849 - 3.73861i) q^{89} +(-1.14591 - 2.44252i) q^{90} +(0.259511 - 6.19433i) q^{91} +(4.93989 + 2.85205i) q^{92} +(-0.245308 + 0.781191i) q^{93} +1.19131i q^{94} -7.79874i q^{95} +(-1.72569 + 5.49553i) q^{96} +(4.98797 + 2.87980i) q^{97} +(-1.86128 + 0.875930i) q^{98} +(-11.6473 - 0.991647i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 10 q - 3 q^{3} - 8 q^{4} + 12 q^{6} - 6 q^{7} + 3 q^{9}+O(q^{10}) \) 10 * q - 3 * q^3 - 8 * q^4 + 12 * q^6 - 6 * q^7 + 3 * q^9	\( 10 q - 3 q^{3} - 8 q^{4} + 12 q^{6} - 6 q^{7} + 3 q^{9} - 15 q^{10} - 12 q^{11} - 12 q^{12} - 6 q^{13} + 12 q^{14} - 3 q^{15} + 12 q^{16} + 12 q^{17} + 24 q^{18} + 3 q^{19} + 3 q^{20} - 9 q^{21} + 5 q^{22} - 15 q^{23} + 7 q^{25} - 3 q^{26} - 27 q^{27} + 2 q^{28} - 15 q^{29} + 6 q^{30} - 3 q^{34} + 15 q^{35} - 18 q^{36} + 6 q^{37} + 18 q^{38} + 18 q^{39} + 15 q^{40} + 9 q^{41} - 12 q^{42} + 3 q^{43} - 24 q^{44} + 30 q^{45} - 13 q^{46} + 30 q^{47} + 15 q^{48} + 4 q^{49} + 3 q^{50} + 21 q^{51} - 12 q^{52} + 9 q^{53} + 9 q^{54} - 30 q^{56} - 36 q^{57} + 8 q^{58} - 36 q^{59} - 48 q^{60} - 12 q^{62} - 15 q^{63} + 6 q^{64} - 39 q^{66} + 20 q^{67} - 27 q^{68} + 3 q^{69} + 6 q^{70} - 30 q^{72} + 3 q^{73} - 30 q^{74} + 6 q^{75} - 9 q^{76} + 39 q^{77} + 24 q^{78} - 40 q^{79} + 30 q^{80} + 15 q^{81} + 9 q^{82} + 15 q^{83} + 93 q^{84} + 18 q^{85} + 54 q^{86} + 6 q^{87} - 8 q^{88} - 24 q^{89} - 24 q^{90} - 24 q^{91} + 39 q^{92} + 36 q^{93} + 33 q^{96} - 6 q^{97} - 45 q^{98} + 21 q^{99}+O(q^{100}) \) 10 * q - 3 * q^3 - 8 * q^4 + 12 * q^6 - 6 * q^7 + 3 * q^9 - 15 * q^10 - 12 * q^11 - 12 * q^12 - 6 * q^13 + 12 * q^14 - 3 * q^15 + 12 * q^16 + 12 * q^17 + 24 * q^18 + 3 * q^19 + 3 * q^20 - 9 * q^21 + 5 * q^22 - 15 * q^23 + 7 * q^25 - 3 * q^26 - 27 * q^27 + 2 * q^28 - 15 * q^29 + 6 * q^30 - 3 * q^34 + 15 * q^35 - 18 * q^36 + 6 * q^37 + 18 * q^38 + 18 * q^39 + 15 * q^40 + 9 * q^41 - 12 * q^42 + 3 * q^43 - 24 * q^44 + 30 * q^45 - 13 * q^46 + 30 * q^47 + 15 * q^48 + 4 * q^49 + 3 * q^50 + 21 * q^51 - 12 * q^52 + 9 * q^53 + 9 * q^54 - 30 * q^56 - 36 * q^57 + 8 * q^58 - 36 * q^59 - 48 * q^60 - 12 * q^62 - 15 * q^63 + 6 * q^64 - 39 * q^66 + 20 * q^67 - 27 * q^68 + 3 * q^69 + 6 * q^70 - 30 * q^72 + 3 * q^73 - 30 * q^74 + 6 * q^75 - 9 * q^76 + 39 * q^77 + 24 * q^78 - 40 * q^79 + 30 * q^80 + 15 * q^81 + 9 * q^82 + 15 * q^83 + 93 * q^84 + 18 * q^85 + 54 * q^86 + 6 * q^87 - 8 * q^88 - 24 * q^89 - 24 * q^90 - 24 * q^91 + 39 * q^92 + 36 * q^93 + 33 * q^96 - 6 * q^97 - 45 * q^98 + 21 * q^99

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