LMFDB - Embedded newform 224.2.u.b.29.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [224,2,Mod(29,224)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(224, base_ring=CyclotomicField(8))

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

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

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

chi := DirichletCharacter("224.29");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 224 = 2^{5} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	224.u (of order $8$, 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:	$1.78864900528$
Analytic rank:	$0$
Dimension:	$40$
Relative dimension:	$10$ over $\Q(\zeta_{8})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label			29.5
Character	$\chi$	$=$	224.29
Dual form			224.2.u.b.85.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.146191 + 1.40664i) q^{2} +(2.41040 + 0.998422i) q^{3} +(-1.95726 + 0.411276i) q^{4} +(0.0734640 + 0.177358i) q^{5} +(-1.05204 + 3.53652i) q^{6} +(-0.707107 + 0.707107i) q^{7} +(-0.864649 - 2.69302i) q^{8} +(2.69188 + 2.69188i) q^{9} +O(q^{10})$	\(q+(0.146191 + 1.40664i) q^{2} +(2.41040 + 0.998422i) q^{3} +(-1.95726 + 0.411276i) q^{4} +(0.0734640 + 0.177358i) q^{5} +(-1.05204 + 3.53652i) q^{6} +(-0.707107 + 0.707107i) q^{7} +(-0.864649 - 2.69302i) q^{8} +(2.69188 + 2.69188i) q^{9} +(-0.238738 + 0.129265i) q^{10} +(0.558575 - 0.231369i) q^{11} +(-5.12840 - 0.962827i) q^{12} +(-1.02199 + 2.46729i) q^{13} +(-1.09802 - 0.891270i) q^{14} +0.500852i q^{15} +(3.66170 - 1.60994i) q^{16} -1.00182i q^{17} +(-3.39297 + 4.18002i) q^{18} +(2.49977 - 6.03499i) q^{19} +(-0.216731 - 0.316921i) q^{20} +(-2.41040 + 0.998422i) q^{21} +(0.407112 + 0.751889i) q^{22} +(1.05314 + 1.05314i) q^{23} +(0.604621 - 7.35456i) q^{24} +(3.50948 - 3.50948i) q^{25} +(-3.61999 - 1.07687i) q^{26} +(0.805617 + 1.94493i) q^{27} +(1.09317 - 1.67481i) q^{28} +(-1.79510 - 0.743556i) q^{29} +(-0.704517 + 0.0732201i) q^{30} -6.06245 q^{31} +(2.79992 + 4.91533i) q^{32} +1.57740 q^{33} +(1.40919 - 0.146457i) q^{34} +(-0.177358 - 0.0734640i) q^{35} +(-6.37580 - 4.16159i) q^{36} +(-1.03018 - 2.48707i) q^{37} +(8.85449 + 2.63401i) q^{38} +(-4.92680 + 4.92680i) q^{39} +(0.414108 - 0.351193i) q^{40} +(7.82041 + 7.82041i) q^{41} +(-1.75680 - 3.24460i) q^{42} +(-9.68206 + 4.01044i) q^{43} +(-0.998119 + 0.682578i) q^{44} +(-0.279669 + 0.675182i) q^{45} +(-1.32743 + 1.63535i) q^{46} -11.0585i q^{47} +(10.4336 - 0.224689i) q^{48} -1.00000i q^{49} +(5.44961 + 4.42350i) q^{50} +(1.00024 - 2.41478i) q^{51} +(0.985552 - 5.24945i) q^{52} +(5.84783 - 2.42225i) q^{53} +(-2.61804 + 1.41754i) q^{54} +(0.0820704 + 0.0820704i) q^{55} +(2.51566 + 1.29286i) q^{56} +(12.0509 - 12.0509i) q^{57} +(0.783486 - 2.63376i) q^{58} +(3.11194 + 7.51290i) q^{59} +(-0.205988 - 0.980295i) q^{60} +(5.06949 + 2.09985i) q^{61} +(-0.886276 - 8.52766i) q^{62} -3.80689 q^{63} +(-6.50476 + 4.65704i) q^{64} -0.512673 q^{65} +(0.230601 + 2.21882i) q^{66} +(-8.30803 - 3.44130i) q^{67} +(0.412023 + 1.96081i) q^{68} +(1.48702 + 3.58998i) q^{69} +(0.0774091 - 0.260218i) q^{70} +(-6.50702 + 6.50702i) q^{71} +(4.92176 - 9.57682i) q^{72} +(1.02725 + 1.02725i) q^{73} +(3.34781 - 1.81268i) q^{74} +(11.9632 - 4.95531i) q^{75} +(-2.41066 + 12.8401i) q^{76} +(-0.231369 + 0.558575i) q^{77} +(-7.65048 - 6.20997i) q^{78} -16.1674i q^{79} +(0.554540 + 0.531159i) q^{80} -5.92826i q^{81} +(-9.85721 + 12.1438i) q^{82} +(-4.25955 + 10.2835i) q^{83} +(4.30715 - 2.94551i) q^{84} +(0.177680 - 0.0735974i) q^{85} +(-7.05667 - 13.0329i) q^{86} +(-3.58454 - 3.58454i) q^{87} +(-1.10606 - 1.30420i) q^{88} +(5.60341 - 5.60341i) q^{89} +(-0.990621 - 0.294688i) q^{90} +(-1.02199 - 2.46729i) q^{91} +(-2.49440 - 1.62814i) q^{92} +(-14.6129 - 6.05288i) q^{93} +(15.5553 - 1.61665i) q^{94} +1.25400 q^{95} +(1.84135 + 14.6434i) q^{96} -13.7125 q^{97} +(1.40664 - 0.146191i) q^{98} +(2.12644 + 0.880798i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 40 q + 4 q^{2} + 4 q^{3} + 8 q^{5} + 12 q^{6} - 8 q^{8} + 8 q^{9}+O(q^{10}) $ 40 * q + 4 * q^2 + 4 * q^3 + 8 * q^5 + 12 * q^6 - 8 * q^8 + 8 * q^9	$ 40 q + 4 q^{2} + 4 q^{3} + 8 q^{5} + 12 q^{6} - 8 q^{8} + 8 q^{9} - 16 q^{10} + 12 q^{11} - 36 q^{12} + 8 q^{16} + 4 q^{19} - 4 q^{21} - 52 q^{22} + 16 q^{23} - 8 q^{24} - 16 q^{25} + 12 q^{26} - 32 q^{27} + 8 q^{28} + 16 q^{29} + 36 q^{30} + 24 q^{31} - 36 q^{32} + 8 q^{33} - 8 q^{34} - 8 q^{36} + 16 q^{37} - 12 q^{38} - 24 q^{39} + 36 q^{40} + 8 q^{41} + 52 q^{43} - 44 q^{44} - 64 q^{45} - 32 q^{46} - 36 q^{48} + 52 q^{50} + 16 q^{51} - 16 q^{52} - 32 q^{54} - 8 q^{55} + 12 q^{56} - 8 q^{57} + 40 q^{58} + 20 q^{59} + 52 q^{60} - 16 q^{61} - 12 q^{62} - 24 q^{63} - 48 q^{64} - 80 q^{65} - 40 q^{66} - 4 q^{67} - 4 q^{68} - 40 q^{69} + 32 q^{70} + 72 q^{72} - 24 q^{73} - 12 q^{74} + 20 q^{75} - 72 q^{76} + 4 q^{77} + 12 q^{78} + 60 q^{80} + 16 q^{82} + 4 q^{83} + 8 q^{84} - 64 q^{85} - 48 q^{86} - 32 q^{87} + 16 q^{88} + 32 q^{89} + 20 q^{90} + 108 q^{92} - 24 q^{93} + 68 q^{94} - 80 q^{95} - 40 q^{96} + 56 q^{97} + 4 q^{98} - 60 q^{99}+O(q^{100}) $ 40 * q + 4 * q^2 + 4 * q^3 + 8 * q^5 + 12 * q^6 - 8 * q^8 + 8 * q^9 - 16 * q^10 + 12 * q^11 - 36 * q^12 + 8 * q^16 + 4 * q^19 - 4 * q^21 - 52 * q^22 + 16 * q^23 - 8 * q^24 - 16 * q^25 + 12 * q^26 - 32 * q^27 + 8 * q^28 + 16 * q^29 + 36 * q^30 + 24 * q^31 - 36 * q^32 + 8 * q^33 - 8 * q^34 - 8 * q^36 + 16 * q^37 - 12 * q^38 - 24 * q^39 + 36 * q^40 + 8 * q^41 + 52 * q^43 - 44 * q^44 - 64 * q^45 - 32 * q^46 - 36 * q^48 + 52 * q^50 + 16 * q^51 - 16 * q^52 - 32 * q^54 - 8 * q^55 + 12 * q^56 - 8 * q^57 + 40 * q^58 + 20 * q^59 + 52 * q^60 - 16 * q^61 - 12 * q^62 - 24 * q^63 - 48 * q^64 - 80 * q^65 - 40 * q^66 - 4 * q^67 - 4 * q^68 - 40 * q^69 + 32 * q^70 + 72 * q^72 - 24 * q^73 - 12 * q^74 + 20 * q^75 - 72 * q^76 + 4 * q^77 + 12 * q^78 + 60 * q^80 + 16 * q^82 + 4 * q^83 + 8 * q^84 - 64 * q^85 - 48 * q^86 - 32 * q^87 + 16 * q^88 + 32 * q^89 + 20 * q^90 + 108 * q^92 - 24 * q^93 + 68 * q^94 - 80 * q^95 - 40 * q^96 + 56 * q^97 + 4 * q^98 - 60 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/224\mathbb{Z}\right)^\times$.

$n$	$127$	$129$	$197$
$\chi(n)$	$1$	$1$	$e\left(\frac{3}{8}\right)$

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 $

$2$	0.146191	+	1.40664i	0.103373	+	0.994643i
$2$	0.146191	+	1.40664i	0.103373	+	0.994643i
$3$	2.41040	+	0.998422i	1.39165	+	0.576439i	0.947570	−	0.319549i	$-0.103532\pi$
$3$	2.41040	+	0.998422i	1.39165	+	0.576439i	0.444077	+	0.895988i	$0.353532\pi$
$4$	−1.95726	+	0.411276i	−0.978628	+	0.205638i
$5$	0.0734640	+	0.177358i	0.0328541	+	0.0793168i	0.939455	−	0.342672i	$-0.111332\pi$
$5$	0.0734640	+	0.177358i	0.0328541	+	0.0793168i	−0.906601	+	0.421989i	$0.861332\pi$
$6$	−1.05204	+	3.53652i	−0.429493	+	1.44378i
$7$	−0.707107	+	0.707107i	−0.267261	+	0.267261i
$7$	−0.707107	+	0.707107i	−0.267261	+	0.267261i
$8$	−0.864649	−	2.69302i	−0.305700	−	0.952128i
$9$	2.69188	+	2.69188i	0.897293	+	0.897293i
$10$	−0.238738	+	0.129265i	−0.0754957	+	0.0408773i
$11$	0.558575	−	0.231369i	0.168417	−	0.0697605i	−0.296882	−	0.954914i	$-0.595947\pi$
$11$	0.558575	−	0.231369i	0.168417	−	0.0697605i	0.465299	+	0.885154i	$0.345947\pi$
$12$	−5.12840	−	0.962827i	−1.48044	−	0.277944i
$13$	−1.02199	+	2.46729i	−0.283448	+	0.684304i	−0.999911	−	0.0133206i	$-0.995760\pi$
$13$	−1.02199	+	2.46729i	−0.283448	+	0.684304i	0.716463	+	0.697625i	$0.245760\pi$
$14$	−1.09802	−	0.891270i	−0.293457	−	0.238202i
$15$			0.500852i			0.129319i
$16$	3.66170	−	1.60994i	0.915426	−	0.402486i
$17$		−	1.00182i		−	0.242976i	−0.992593	−	0.121488i	$-0.961233\pi$
$17$		−	1.00182i		−	0.242976i	0.992593	−	0.121488i	$-0.0387666\pi$
$18$	−3.39297	+	4.18002i	−0.799730	+	0.985241i
$19$	2.49977	−	6.03499i	0.573488	−	1.38452i	−0.325080	−	0.945687i	$-0.605391\pi$
$19$	2.49977	−	6.03499i	0.573488	−	1.38452i	0.898568	−	0.438835i	$-0.144609\pi$
$20$	−0.216731	−	0.316921i	−0.0484625	−	0.0708656i
$21$	−2.41040	+	0.998422i	−0.525993	+	0.217873i
$22$	0.407112	+	0.751889i	0.0867965	+	0.160303i
$23$	1.05314	+	1.05314i	0.219596	+	0.219596i	0.808328	−	0.588732i	$-0.200373\pi$
$23$	1.05314	+	1.05314i	0.219596	+	0.219596i	−0.588732	+	0.808328i	$0.700373\pi$
$24$	0.604621	−	7.35456i	0.123418	−	1.50124i
$25$	3.50948	−	3.50948i	0.701895	−	0.701895i
$26$	−3.61999	−	1.07687i	−0.709939	−	0.211191i
$27$	0.805617	+	1.94493i	0.155041	+	0.374302i
$28$	1.09317	−	1.67481i	0.206590	−	0.316508i
$29$	−1.79510	−	0.743556i	−0.333342	−	0.138075i	0.209733	−	0.977759i	$-0.432740\pi$
$29$	−1.79510	−	0.743556i	−0.333342	−	0.138075i	−0.543076	+	0.839684i	$0.682740\pi$
$30$	−0.704517	+	0.0732201i	−0.128627	+	0.0133681i
$31$	−6.06245			−1.08885			−0.544424	−	0.838810i	$-0.683252\pi$
$31$	−6.06245			−1.08885			−0.544424	+	0.838810i	$0.683252\pi$
$32$	2.79992	+	4.91533i	0.494960	+	0.868916i
$33$	1.57740			0.274589
$34$	1.40919	−	0.146457i	0.241674	−	0.0251171i
$35$	−0.177358	−	0.0734640i	−0.0299789	−	0.0124177i
$36$	−6.37580	−	4.16159i	−1.06263	−	0.693599i
$37$	−1.03018	−	2.48707i	−0.169360	−	0.408872i	0.816297	−	0.577633i	$-0.196023\pi$
$37$	−1.03018	−	2.48707i	−0.169360	−	0.408872i	−0.985657	+	0.168761i	$0.946023\pi$
$38$	8.85449	+	2.63401i	1.43639	+	0.427294i
$39$	−4.92680	+	4.92680i	−0.788919	+	0.788919i
$40$	0.414108	−	0.351193i	0.0654763	−	0.0555284i
$41$	7.82041	+	7.82041i	1.22134	+	1.22134i	0.967155	+	0.254189i	$0.0818085\pi$
$41$	7.82041	+	7.82041i	1.22134	+	1.22134i	0.254189	+	0.967155i	$0.418192\pi$
$42$	−1.75680	−	3.24460i	−0.271080	−	0.500653i
$43$	−9.68206	+	4.01044i	−1.47650	+	0.611587i	−0.968331	−	0.249670i	$-0.919678\pi$
$43$	−9.68206	+	4.01044i	−1.47650	+	0.611587i	−0.508170	+	0.861257i	$0.669678\pi$
$44$	−0.998119	+	0.682578i	−0.150472	+	0.102902i
$45$	−0.279669	+	0.675182i	−0.0416907	+	0.100650i
$46$	−1.32743	+	1.63535i	−0.195719	+	0.241119i
$47$		−	11.0585i		−	1.61304i	−0.591203	−	0.806522i	$-0.701347\pi$
$47$		−	11.0585i		−	1.61304i	0.591203	−	0.806522i	$-0.298653\pi$
$48$	10.4336	−	0.224689i	1.50596	−	0.0324310i
$49$		−	1.00000i		−	0.142857i
$50$	5.44961	+	4.42350i	0.770692	+	0.625578i
$51$	1.00024	−	2.41478i	0.140061	−	0.338137i
$52$	0.985552	−	5.24945i	0.136671	−	0.727967i
$53$	5.84783	−	2.42225i	0.803261	−	0.332722i	0.0569992	−	0.998374i	$-0.481847\pi$
$53$	5.84783	−	2.42225i	0.803261	−	0.332722i	0.746262	+	0.665653i	$0.231847\pi$
$54$	−2.61804	+	1.41754i	−0.356270	+	0.192903i
$55$	0.0820704	+	0.0820704i	0.0110664	+	0.0110664i
$56$	2.51566	+	1.29286i	0.336169	+	0.172765i
$57$	12.0509	−	12.0509i	1.59618	−	1.59618i
$58$	0.783486	−	2.63376i	0.102877	−	0.345830i
$59$	3.11194	+	7.51290i	0.405141	+	0.978096i	0.986398	+	0.164376i	$0.0525611\pi$
$59$	3.11194	+	7.51290i	0.405141	+	0.978096i	−0.581257	+	0.813720i	$0.697439\pi$
$60$	−0.205988	−	0.980295i	−0.0265930	−	0.126556i
$61$	5.06949	+	2.09985i	0.649082	+	0.268858i	0.682836	−	0.730572i	$-0.260746\pi$
$61$	5.06949	+	2.09985i	0.649082	+	0.268858i	−0.0337543	+	0.999430i	$0.510746\pi$
$62$	−0.886276	−	8.52766i	−0.112557	−	1.08301i
$63$	−3.80689			−0.479623
$64$	−6.50476	+	4.65704i	−0.813095	+	0.582130i
$65$	−0.512673			−0.0635893
$66$	0.230601	+	2.21882i	0.0283851	+	0.273118i
$67$	−8.30803	−	3.44130i	−1.01499	−	0.420422i	−0.187716	−	0.982223i	$-0.560108\pi$
$67$	−8.30803	−	3.44130i	−1.01499	−	0.420422i	−0.827272	+	0.561802i	$0.810108\pi$
$68$	0.412023	+	1.96081i	0.0499651	+	0.237783i
$69$	1.48702	+	3.58998i	0.179016	+	0.432183i
$70$	0.0774091	−	0.260218i	0.00925215	−	0.0311020i
$71$	−6.50702	+	6.50702i	−0.772242	+	0.772242i	−0.978498	−	0.206256i	$-0.933872\pi$
$71$	−6.50702	+	6.50702i	−0.772242	+	0.772242i	0.206256	+	0.978498i	$0.433872\pi$
$72$	4.92176	−	9.57682i	0.580035	−	1.12864i
$73$	1.02725	+	1.02725i	0.120231	+	0.120231i	0.764662	−	0.644431i	$-0.222906\pi$
$73$	1.02725	+	1.02725i	0.120231	+	0.120231i	−0.644431	+	0.764662i	$0.722906\pi$
$74$	3.34781	−	1.81268i	0.389175	−	0.210719i
$75$	11.9632	−	4.95531i	1.38139	−	0.572190i
$76$	−2.41066	+	12.8401i	−0.276521	+	1.47286i
$77$	−0.231369	+	0.558575i	−0.0263670	+	0.0636556i
$78$	−7.65048	−	6.20997i	−0.866246	−	0.703140i
$79$		−	16.1674i		−	1.81898i	−0.415729	−	0.909488i	$-0.636474\pi$
$79$		−	16.1674i		−	1.81898i	0.415729	−	0.909488i	$-0.363526\pi$
$80$	0.554540	+	0.531159i	0.0619994	+	0.0593854i
$81$		−	5.92826i		−	0.658695i
$82$	−9.85721	+	12.1438i	−1.08855	+	1.34105i
$83$	−4.25955	+	10.2835i	−0.467546	+	1.12876i	0.497684	+	0.867358i	$0.334184\pi$
$83$	−4.25955	+	10.2835i	−0.467546	+	1.12876i	−0.965231	+	0.261399i	$0.915816\pi$
$84$	4.30715	−	2.94551i	0.469949	−	0.321381i
$85$	0.177680	−	0.0735974i	0.0192721	−	0.00798276i
$86$	−7.05667	−	13.0329i	−0.760940	−	1.40537i
$87$	−3.58454	−	3.58454i	−0.384303	−	0.384303i
$88$	−1.10606	−	1.30420i	−0.117906	−	0.139029i
$89$	5.60341	−	5.60341i	0.593961	−	0.593961i	−0.344738	−	0.938699i	$-0.612032\pi$
$89$	5.60341	−	5.60341i	0.593961	−	0.593961i	0.938699	+	0.344738i	$0.112032\pi$
$90$	−0.990621	−	0.294688i	−0.104421	−	0.0310628i
$91$	−1.02199	−	2.46729i	−0.107133	−	0.258643i
$92$	−2.49440	−	1.62814i	−0.260060	−	0.169745i
$93$	−14.6129	−	6.05288i	−1.51529	−	0.627654i
$94$	15.5553	−	1.61665i	1.60440	−	0.166745i
$95$	1.25400			0.128657
$96$	1.84135	+	14.6434i	0.187932	+	1.49454i
$97$	−13.7125			−1.39229			−0.696146	−	0.717900i	$-0.745103\pi$
$97$	−13.7125			−1.39229			−0.696146	+	0.717900i	$0.745103\pi$
$98$	1.40664	−	0.146191i	0.142092	−	0.0147675i
$99$	2.12644	+	0.880798i	0.213715	+	0.0885236i
$100$	−5.42558	+	8.31230i	−0.542558	+	0.831230i
$101$	5.87307	+	14.1789i	0.584393	+	1.41085i	0.888795	+	0.458305i	$0.151543\pi$
$101$	5.87307	+	14.1789i	0.584393	+	1.41085i	−0.304402	+	0.952544i	$0.598457\pi$
$102$	3.54295	+	1.05395i	0.350804	+	0.104356i
$103$	−5.23778	+	5.23778i	−0.516094	+	0.516094i	−0.916387	−	0.400293i	$-0.868908\pi$
$103$	−5.23778	+	5.23778i	−0.516094	+	0.516094i	0.400293	+	0.916387i	$0.368908\pi$
$104$	7.52814	+	0.618892i	0.738195	+	0.0606873i
$105$	−0.354156	−	0.354156i	−0.0345621	−	0.0345621i
$106$	4.26213	+	7.87166i	0.413974	+	0.764563i
$107$	−8.95042	+	3.70738i	−0.865269	+	0.358406i	−0.770766	−	0.637118i	$-0.780126\pi$
$107$	−8.95042	+	3.70738i	−0.865269	+	0.358406i	−0.0945032	+	0.995525i	$0.530126\pi$
$108$	−2.37670	−	3.47540i	−0.228698	−	0.334421i
$109$	−6.65691	+	16.0712i	−0.637616	+	1.53934i	0.192230	+	0.981350i	$0.438428\pi$
$109$	−6.65691	+	16.0712i	−0.637616	+	1.53934i	−0.829846	+	0.557992i	$0.811572\pi$
$110$	−0.103445	+	0.127441i	−0.00986312	+	0.0121510i
$111$		−	7.02340i		−	0.666632i
$112$	−1.45081	+	3.72762i	−0.137089	+	0.352227i
$113$		−	6.06610i		−	0.570651i	−0.958431	−	0.285326i	$-0.907898\pi$
$113$		−	6.06610i		−	0.570651i	0.958431	−	0.285326i	$-0.0921017\pi$
$114$	18.7130	+	15.1895i	1.75264	+	1.42263i
$115$	−0.109415	+	0.264151i	−0.0102030	+	0.0246322i
$116$	3.81928	+	0.717048i	0.354612	+	0.0665762i
$117$	−9.39272	+	3.89059i	−0.868357	+	0.359685i
$118$	−10.1130	+	5.47570i	−0.930976	+	0.504079i
$119$	0.708391	+	0.708391i	0.0649381	+	0.0649381i
$120$	1.34881	−	0.433061i	0.123129	−	0.0395329i
$121$	−7.51970	+	7.51970i	−0.683609	+	0.683609i
$122$	−2.21261	+	7.43791i	−0.200321	+	0.673397i
$123$	11.0423	+	26.6584i	0.995649	+	2.40371i
$124$	11.8658	−	2.49334i	1.06558	−	0.223908i
$125$	1.76704	+	0.731933i	0.158049	+	0.0654660i
$126$	−0.556534	−	5.35491i	−0.0495800	−	0.477054i
$127$	−1.37096			−0.121653			−0.0608265	−	0.998148i	$-0.519374\pi$
$127$	−1.37096			−0.121653			−0.0608265	+	0.998148i	$0.519374\pi$
$128$	−7.50171	−	8.46902i	−0.663064	−	0.748563i
$129$	−27.3418			−2.40731
$130$	−0.0749482	−	0.721145i	−0.00657340	−	0.0632486i
$131$	8.45229	+	3.50105i	0.738480	+	0.305888i	0.720031	−	0.693942i	$-0.244127\pi$
$131$	8.45229	+	3.50105i	0.738480	+	0.305888i	0.0184483	+	0.999830i	$0.494127\pi$
$132$	−3.08737	+	0.648745i	−0.268721	+	0.0564660i
$133$	2.49977	+	6.03499i	0.216758	+	0.523300i
$134$	3.62610	−	12.1895i	0.313247	−	1.05301i
$135$	−0.285765	+	0.285765i	−0.0245947	+	0.0245947i
$136$	−2.69792	+	0.866219i	−0.231344	+	0.0742777i
$137$	−6.26310	−	6.26310i	−0.535093	−	0.535093i	0.386991	−	0.922084i	$-0.373515\pi$
$137$	−6.26310	−	6.26310i	−0.535093	−	0.535093i	−0.922084	+	0.386991i	$0.873515\pi$
$138$	−4.83241	+	2.61652i	−0.411362	+	0.222733i
$139$	2.20568	−	0.913623i	0.187083	−	0.0774925i	−0.287175	−	0.957878i	$-0.592716\pi$
$139$	2.20568	−	0.913623i	0.187083	−	0.0774925i	0.474259	+	0.880386i	$0.342716\pi$
$140$	0.377349	+	0.0708449i	0.0318918	+	0.00598749i
$141$	11.0410	−	26.6554i	0.929822	−	2.24479i
$142$	−10.1043	−	8.20175i	−0.847933	−	0.688276i
$143$			1.61463i			0.135022i
$144$	14.1906	+	5.52309i	1.18255	+	0.460257i
$145$		−	0.373000i		−	0.0309760i
$146$	−1.29479	+	1.59514i	−0.107158	+	0.132015i
$147$	0.998422	−	2.41040i	0.0823484	−	0.198807i
$148$	3.03920	+	4.44415i	0.249820	+	0.365307i
$149$	−15.3539	+	6.35978i	−1.25784	+	0.521013i	−0.909245	−	0.416261i	$-0.863340\pi$
$149$	−15.3539	+	6.35978i	−1.25784	+	0.521013i	−0.348593	+	0.937274i	$0.613340\pi$
$150$	8.71924	+	16.1034i	0.711923	+	1.31484i
$151$	−11.8923	−	11.8923i	−0.967785	−	0.967785i	0.0317118	−	0.999497i	$-0.489904\pi$
$151$	−11.8923	−	11.8923i	−0.967785	−	0.967785i	−0.999497	+	0.0317118i	$0.989904\pi$
$152$	−18.4138	−	1.51381i	−1.49356	−	0.122786i
$153$	2.69677	−	2.69677i	0.218021	−	0.218021i
$154$	−0.819537	−	0.243794i	−0.0660402	−	0.0196455i
$155$	−0.445372	−	1.07522i	−0.0357731	−	0.0863639i
$156$	7.61674	−	11.6693i	0.609827	−	0.934291i
$157$	−3.52451	−	1.45990i	−0.281286	−	0.116513i	0.237580	−	0.971368i	$-0.423646\pi$
$157$	−3.52451	−	1.45990i	−0.281286	−	0.116513i	−0.518866	+	0.854855i	$0.673646\pi$
$158$	22.7417	−	2.36353i	1.80923	−	0.188033i
$159$	16.5140			1.30965
$160$	−0.666079	+	0.857687i	−0.0526582	+	0.0678061i
$161$	−1.48937			−0.117379
$162$	8.33890	−	0.866658i	0.655166	−	0.0680911i
$163$	−13.1666	−	5.45377i	−1.03129	−	0.427172i	−0.198109	−	0.980180i	$-0.563480\pi$
$163$	−13.1666	−	5.45377i	−1.03129	−	0.427172i	−0.833176	+	0.553008i	$0.813480\pi$
$164$	−18.5229	−	12.0902i	−1.44640	−	0.944087i
$165$	0.115882	+	0.279764i	0.00902139	+	0.0217796i
$166$	−15.0878	−	4.48829i	−1.17104	−	0.348359i
$167$	16.0101	−	16.0101i	1.23890	−	1.23890i	0.278448	−	0.960451i	$-0.410180\pi$
$167$	16.0101	−	16.0101i	1.23890	−	1.23890i	0.960451	−	0.278448i	$-0.0898200\pi$
$168$	4.77293	+	5.62799i	0.368239	+	0.434209i
$169$	4.14930	+	4.14930i	0.319177	+	0.319177i
$170$	0.129500	+	0.239172i	0.00993220	+	0.0183436i
$171$	22.9745	−	9.51637i	1.75691	−	0.727735i
$172$	17.3009	−	11.8315i	1.31918	−	0.902140i
$173$	−0.774100	+	1.86884i	−0.0588537	+	0.142085i	−0.950571	−	0.310508i	$-0.899501\pi$
$173$	−0.774100	+	1.86884i	−0.0588537	+	0.142085i	0.891717	+	0.452593i	$0.149501\pi$
$174$	4.51812	−	5.56618i	0.342518	−	0.421971i
$175$			4.96315i			0.375179i
$176$	1.67285	−	1.74648i	0.126096	−	0.131646i
$177$			21.2162i			1.59470i
$178$	8.70114	+	7.06280i	0.652178	+	0.529379i
$179$	−0.291827	+	0.704534i	−0.0218122	+	0.0526593i	−0.934410	−	0.356198i	$-0.884073\pi$
$179$	−0.291827	+	0.704534i	−0.0218122	+	0.0526593i	0.912598	+	0.408858i	$0.134073\pi$
$180$	0.269699	−	1.43652i	0.0201022	−	0.107072i
$181$	11.8341	−	4.90183i	0.879618	−	0.364350i	0.103269	−	0.994653i	$-0.467070\pi$
$181$	11.8341	−	4.90183i	0.879618	−	0.364350i	0.776349	+	0.630304i	$0.217070\pi$
$182$	3.32118	−	1.79826i	0.246182	−	0.133296i
$183$	10.1230	+	10.1230i	0.748312	+	0.748312i
$184$	1.92554	−	3.74674i	0.141953	−	0.276213i
$185$	0.365421	−	0.365421i	0.0268663	−	0.0268663i
$186$	6.37792	−	21.4400i	0.467652	−	1.57206i
$187$	−0.231790	−	0.559590i	−0.0169501	−	0.0409213i
$188$	4.54808	+	21.6443i	0.331703	+	1.57857i
$189$	−1.94493	−	0.805617i	−0.141473	−	0.0586000i
$190$	0.183323	+	1.76392i	0.0132997	+	0.127968i
$191$	24.2005			1.75109			0.875545	−	0.483136i	$-0.160502\pi$
$191$	24.2005			1.75109			0.875545	+	0.483136i	$0.160502\pi$
$192$	−20.3288	+	4.73085i	−1.46710	+	0.341420i
$193$	5.42349			0.390391			0.195196	−	0.980764i	$-0.437466\pi$
$193$	5.42349			0.390391			0.195196	+	0.980764i	$0.437466\pi$
$194$	−2.00464	−	19.2885i	−0.143925	−	1.38483i
$195$	−1.23575	−	0.511864i	−0.0884938	−	0.0366553i
$196$	0.411276	+	1.95726i	0.0293768	+	0.139804i
$197$	−0.824533	−	1.99060i	−0.0587456	−	0.141824i	0.891781	−	0.452467i	$-0.149456\pi$
$197$	−0.824533	−	1.99060i	−0.0587456	−	0.141824i	−0.950527	+	0.310642i	$0.899456\pi$
$198$	−0.928098	+	3.11989i	−0.0659570	+	0.221721i
$199$	6.47803	−	6.47803i	0.459215	−	0.459215i	−0.439182	−	0.898398i	$-0.644732\pi$
$199$	6.47803	−	6.47803i	0.459215	−	0.459215i	0.898398	+	0.439182i	$0.144732\pi$
$200$	−12.4856	−	6.41664i	−0.882863	−	0.453725i
$201$	−16.5898	−	16.5898i	−1.17016	−	1.17016i
$202$	−19.0859	+	10.3341i	−1.34288	+	0.727105i
$203$	1.79510	−	0.743556i	0.125992	−	0.0521874i
$204$	−0.964576	+	5.13772i	−0.0675338	+	0.359712i
$205$	−0.812492	+	1.96153i	−0.0567469	+	0.136999i
$206$	−8.13337	−	6.60194i	−0.566679	−	0.459979i
$207$			5.66987i			0.394083i
$208$	0.229992	+	10.6798i	0.0159471	+	0.740514i
$209$		−	3.94937i		−	0.273184i
$210$	0.446394	−	0.549943i	0.0308041	−	0.0379497i
$211$	−3.06261	+	7.39380i	−0.210839	+	0.509010i	−0.993553	−	0.113372i	$-0.963835\pi$
$211$	−3.06261	+	7.39380i	−0.210839	+	0.509010i	0.782714	+	0.622382i	$0.213835\pi$
$212$	−10.4495	+	7.14603i	−0.717674	+	0.490791i
$213$	−22.1813	+	9.18780i	−1.51984	+	0.629538i
$214$	−6.52341	−	12.0480i	−0.445931	−	0.823584i
$215$	−1.42257	−	1.42257i	−0.0970182	−	0.0970182i
$216$	4.54117	−	3.85123i	0.308988	−	0.262043i
$217$	4.28680	−	4.28680i	0.291007	−	0.291007i
$218$	−23.5795	−	7.01439i	−1.59701	−	0.475074i
$219$	1.45046	+	3.50172i	0.0980130	+	0.236624i
$220$	−0.194386	−	0.126879i	−0.0131055	−	0.00855419i
$221$	2.47177	+	1.02384i	0.166270	+	0.0688711i
$222$	9.87938	−	1.02676i	0.663060	−	0.0689116i
$223$	10.1393			0.678981			0.339490	−	0.940610i	$-0.389745\pi$
$223$	10.1393			0.678981			0.339490	+	0.940610i	$0.389745\pi$
$224$	−5.45550	−	1.49582i	−0.364511	−	0.0999439i
$225$	18.8942			1.25961
$226$	8.53281	−	0.886810i	0.567594	−	0.0589898i
$227$	4.03825	+	1.67270i	0.268028	+	0.111021i	0.512650	−	0.858598i	$-0.328664\pi$
$227$	4.03825	+	1.67270i	0.268028	+	0.111021i	−0.244622	+	0.969619i	$0.578664\pi$
$228$	−18.6305	+	28.5430i	−1.23384	+	1.89031i
$229$	5.32502	+	12.8557i	0.351887	+	0.849531i	0.996387	+	0.0849267i	$0.0270656\pi$
$229$	5.32502	+	12.8557i	0.351887	+	0.849531i	−0.644500	+	0.764604i	$0.722934\pi$
$230$	−0.387560	−	0.115291i	−0.0255550	−	0.00760204i
$231$	−1.11539	+	1.11539i	−0.0733871	+	0.0733871i
$232$	−0.450281	+	5.47717i	−0.0295624	+	0.359594i
$233$	11.6278	+	11.6278i	0.761760	+	0.761760i	0.976640	−	0.214880i	$-0.0689361\pi$
$233$	11.6278	+	11.6278i	0.761760	+	0.761760i	−0.214880	+	0.976640i	$0.568936\pi$
$234$	−6.84578	−	12.6434i	−0.447523	−	0.826523i
$235$	1.96131	−	0.812400i	0.127942	−	0.0529951i
$236$	−9.18075	−	13.4248i	−0.597616	−	0.873880i
$237$	16.1419	−	38.9700i	1.04853	−	2.53137i
$238$	−0.892889	+	1.10001i	−0.0578774	+	0.0713030i
$239$			0.762873i			0.0493462i	0.999696	+	0.0246731i	$0.00785448\pi$
$239$			0.762873i			0.0493462i	−0.999696	+	0.0246731i	$0.992146\pi$
$240$	0.806343	+	1.83397i	0.0520492	+	0.118382i
$241$		−	9.37576i		−	0.603946i	−0.953317	−	0.301973i	$-0.902355\pi$
$241$		−	9.37576i		−	0.603946i	0.953317	−	0.301973i	$-0.0976452\pi$
$242$	−11.6768	−	9.47818i	−0.750613	−	0.609280i
$243$	8.33575	−	20.1243i	0.534739	−	1.29097i
$244$	−10.7859	−	2.02499i	−0.690497	−	0.129637i
$245$	0.177358	−	0.0734640i	0.0113310	−	0.00469344i
$246$	−35.8844	+	19.4297i	−2.28791	+	1.23879i
$247$	12.3354	+	12.3354i	0.784880	+	0.784880i
$248$	5.24189	+	16.3263i	0.332860	+	1.03672i
$249$	−20.5345	+	20.5345i	−1.30132	+	1.30132i
$250$	−0.771238	+	2.59259i	−0.0487774	+	0.163970i
$251$	2.77607	+	6.70203i	0.175224	+	0.423028i	0.986954	−	0.161005i	$-0.0514736\pi$
$251$	2.77607	+	6.70203i	0.175224	+	0.423028i	−0.811729	+	0.584034i	$0.801474\pi$
$252$	7.45106	−	1.56568i	0.469373	−	0.0986287i
$253$	0.831925	+	0.344595i	0.0523027	+	0.0216645i
$254$	−0.200422	−	1.92844i	−0.0125756	−	0.121001i
$255$	0.501761			0.0314215
$256$	10.8162	−	11.7903i	0.676010	−	0.736892i
$257$	14.0660			0.877413			0.438706	−	0.898631i	$-0.355437\pi$
$257$	14.0660			0.877413			0.438706	+	0.898631i	$0.355437\pi$
$258$	−3.99713	−	38.4600i	−0.248850	−	2.39441i
$259$	2.48707	+	1.03018i	0.154539	+	0.0640122i
$260$	1.00343	−	0.210850i	0.0622302	−	0.0130764i
$261$	−2.83064	−	6.83376i	−0.175212	−	0.422999i
$262$	−3.68906	+	12.4011i	−0.227911	+	0.766144i
$263$	−20.9148	+	20.9148i	−1.28966	+	1.28966i	−0.354675	+	0.934990i	$0.615408\pi$
$263$	−20.9148	+	20.9148i	−1.28966	+	1.28966i	−0.934990	+	0.354675i	$0.884592\pi$
$264$	−1.36389	−	4.24797i	−0.0839419	−	0.261444i
$265$	0.859210	+	0.859210i	0.0527808	+	0.0527808i
$266$	−8.12360	+	4.39854i	−0.498090	+	0.269692i
$267$	19.1011	−	7.91192i	1.16897	−	0.484201i
$268$	17.6763	+	3.31861i	1.07975	+	0.202717i
$269$	−1.35064	+	3.26074i	−0.0823501	+	0.198811i	−0.959691	−	0.281057i	$-0.909315\pi$
$269$	−1.35064	+	3.26074i	−0.0823501	+	0.198811i	0.877341	+	0.479867i	$0.159315\pi$
$270$	−0.443744	−	0.360191i	−0.0270054	−	0.0219205i
$271$		−	0.0376590i		−	0.00228762i	−0.999999	−	0.00114381i	$-0.999636\pi$
$271$		−	0.0376590i		−	0.00228762i	0.999999	−	0.00114381i	$-0.000364087\pi$
$272$	−1.61287	−	3.66835i	−0.0977945	−	0.222427i
$273$		−	6.96755i		−	0.421695i
$274$	7.89430	−	9.72552i	0.476912	−	0.587540i
$275$	1.14832	−	2.77229i	0.0692464	−	0.167175i
$276$	−4.38695	−	6.41494i	−0.264063	−	0.386134i
$277$	22.8739	−	9.47467i	1.37436	−	0.569278i	0.431391	−	0.902165i	$-0.358023\pi$
$277$	22.8739	−	9.47467i	1.37436	−	0.569278i	0.942967	+	0.332888i	$0.108023\pi$
$278$	1.60759	+	2.96903i	0.0964166	+	0.178071i
$279$	−16.3194	−	16.3194i	−0.977015	−	0.977015i
$280$	−0.0444881	+	0.541149i	−0.00265867	+	0.0323399i
$281$	1.51074	−	1.51074i	0.0901230	−	0.0901230i	−0.660608	−	0.750731i	$-0.729701\pi$
$281$	1.51074	−	1.51074i	0.0901230	−	0.0901230i	0.750731	+	0.660608i	$0.229701\pi$
$282$	39.1086	+	11.6339i	2.32888	+	0.692791i
$283$	−11.5037	−	27.7724i	−0.683823	−	1.65090i	−0.756869	−	0.653567i	$-0.773272\pi$
$283$	−11.5037	−	27.7724i	−0.683823	−	1.65090i	0.0730456	−	0.997329i	$-0.476728\pi$
$284$	10.0597	−	15.4121i	0.596935	−	0.914540i
$285$	3.02264	+	1.25202i	0.179046	+	0.0741631i
$286$	−2.27119	+	0.236044i	−0.134298	+	0.0139576i
$287$	−11.0597			−0.652836
$288$	−5.69444	+	20.7685i	−0.335548	+	1.22380i
$289$	15.9964			0.940963
$290$	0.524676	−	0.0545293i	0.0308100	−	0.00320207i
$291$	−33.0526	−	13.6908i	−1.93758	−	0.802571i
$292$	−2.43308	−	1.58811i	−0.142385	−	0.0929371i
$293$	3.79140	+	9.15324i	0.221496	+	0.534738i	0.995094	−	0.0989390i	$-0.0315449\pi$
$293$	3.79140	+	9.15324i	0.221496	+	0.534738i	−0.773598	+	0.633677i	$0.781545\pi$
$294$	3.53652	+	1.05204i	0.206254	+	0.0613561i
$295$	−1.10386	+	1.10386i	−0.0642689	+	0.0642689i
$296$	−5.80700	+	4.92474i	−0.337525	+	0.286245i
$297$	0.899996	+	0.899996i	0.0522231	+	0.0522231i
$298$	−11.1905	−	20.6676i	−0.648248	−	1.19724i
$299$	−3.67471	+	1.52212i	−0.212514	+	0.0880262i
$300$	−21.3770	+	14.6190i	−1.23420	+	0.844028i
$301$	4.01044	−	9.68206i	0.231158	−	0.558065i
$302$	14.9897	−	18.4668i	0.862558	−	1.06264i
$303$			40.0406i			2.30027i
$304$	−0.562559	−	26.1228i	−0.0322650	−	1.49825i
$305$			1.05338i			0.0603162i
$306$	4.18762	+	3.39913i	0.239390	+	0.194315i
$307$	−9.75691	+	23.5553i	−0.556856	+	1.34437i	0.355386	+	0.934720i	$0.384349\pi$
$307$	−9.75691	+	23.5553i	−0.556856	+	1.34437i	−0.912242	+	0.409651i	$0.865651\pi$
$308$	0.223121	−	1.18843i	0.0127135	−	0.0677172i
$309$	−17.8547	+	7.39565i	−1.01572	+	0.420724i
$310$	1.44734	−	0.783664i	0.0822033	−	0.0445091i
$311$	7.58620	+	7.58620i	0.430174	+	0.430174i	0.888687	−	0.458514i	$-0.151618\pi$
$311$	7.58620	+	7.58620i	0.430174	+	0.430174i	−0.458514	+	0.888687i	$0.651618\pi$
$312$	17.5279	+	9.00804i	0.992325	+	0.509980i
$313$	7.75722	−	7.75722i	0.438464	−	0.438464i	−0.453031	−	0.891495i	$-0.649657\pi$
$313$	7.75722	−	7.75722i	0.438464	−	0.438464i	0.891495	+	0.453031i	$0.149657\pi$
$314$	1.53830	−	5.17113i	0.0868111	−	0.291824i
$315$	−0.279669	−	0.675182i	−0.0157576	−	0.0380422i
$316$	6.64927	+	31.6438i	0.374050	+	1.78010i
$317$	−21.5776	−	8.93772i	−1.21192	−	0.501992i	−0.317086	−	0.948397i	$-0.602704\pi$
$317$	−21.5776	−	8.93772i	−1.21192	−	0.501992i	−0.894831	+	0.446404i	$0.852704\pi$
$318$	2.41421	+	23.2293i	0.135382	+	1.30263i
$319$	−1.17474			−0.0657726
$320$	−1.30383	−	0.811545i	−0.0728862	−	0.0453668i
$321$	−25.2756			−1.41075
$322$	−0.217733	−	2.09500i	−0.0121338	−	0.116750i
$323$	−6.04595	−	2.50431i	−0.336406	−	0.139344i
$324$	2.43815	+	11.6031i	0.135453	+	0.644617i
$325$	5.07227	+	12.2455i	0.281359	+	0.679261i
$326$	5.74664	−	19.3179i	0.318277	−	1.06992i
$327$	−32.0917	+	32.0917i	−1.77467	+	1.77467i
$328$	14.2987	−	27.8225i	0.789511	−	1.53624i
$329$	7.81953	+	7.81953i	0.431104	+	0.431104i
$330$	−0.376585	+	0.203903i	−0.0207303	+	0.0112245i
$331$	16.9610	−	7.02547i	0.932260	−	0.386155i	0.135725	−	0.990747i	$-0.456664\pi$
$331$	16.9610	−	7.02547i	0.932260	−	0.386155i	0.796536	+	0.604592i	$0.206664\pi$
$332$	4.10769	−	21.8792i	0.225439	−	1.20078i
$333$	3.92178	−	9.46801i	0.214912	−	0.518844i
$334$	24.8609	+	20.1799i	1.36033	+	1.10419i
$335$		−	1.72631i		−	0.0943181i
$336$	−7.21878	+	7.53654i	−0.393817	+	0.411152i
$337$			24.1608i			1.31612i	0.752963	+	0.658062i	$0.228624\pi$
$337$			24.1608i			1.31612i	−0.752963	+	0.658062i	$0.771376\pi$
$338$	−5.22997	+	6.44316i	−0.284473	+	0.350462i
$339$	6.05653	−	14.6218i	0.328946	−	0.794145i
$340$	−0.317496	+	0.217124i	−0.0172187	+	0.0117752i
$341$	−3.38633	+	1.40267i	−0.183380	+	0.0759586i
$342$	16.7448	+	30.9256i	0.905453	+	1.67227i
$343$	0.707107	+	0.707107i	0.0381802	+	0.0381802i
$344$	19.1718	+	22.6064i	1.03367	+	1.21886i
$345$	−0.527469	+	0.527469i	−0.0283980	+	0.0283980i
$346$	−2.74195	−	0.815669i	−0.147408	−	0.0438506i
$347$	9.47067	+	22.8642i	0.508412	+	1.22742i	0.944797	+	0.327656i	$0.106259\pi$
$347$	9.47067	+	22.8642i	0.508412	+	1.22742i	−0.436385	+	0.899760i	$0.643741\pi$
$348$	8.49010	+	5.54163i	0.455117	+	0.297063i
$349$	5.93280	+	2.45745i	0.317576	+	0.131544i	0.535777	−	0.844360i	$-0.320019\pi$
$349$	5.93280	+	2.45745i	0.317576	+	0.131544i	−0.218201	+	0.975904i	$0.570019\pi$
$350$	−6.98135	+	0.725568i	−0.373169	+	0.0387832i
$351$	−5.62205			−0.300083
$352$	2.70122	+	2.09777i	0.143976	+	0.111811i
$353$	−3.11642			−0.165871			−0.0829353	−	0.996555i	$-0.526429\pi$
$353$	−3.11642			−0.165871			−0.0829353	+	0.996555i	$0.526429\pi$
$354$	−29.8434	+	3.10161i	−1.58616	+	0.164849i
$355$	−1.63210	−	0.676039i	−0.0866231	−	0.0358804i
$356$	−8.66277	+	13.2719i	−0.459126	+	0.703407i
$357$	1.00024	+	2.41478i	0.0529381	+	0.127804i
$358$	−1.03369	−	0.307499i	−0.0546320	−	0.0162518i
$359$	8.83944	−	8.83944i	0.466528	−	0.466528i	−0.434260	−	0.900788i	$-0.642990\pi$
$359$	8.83944	−	8.83944i	0.466528	−	0.466528i	0.900788	+	0.434260i	$0.142990\pi$
$360$	2.06010	+	0.169361i	0.108577	+	0.00892613i
$361$	−16.7372	−	16.7372i	−0.880906	−	0.880906i
$362$	8.62512	+	15.9296i	0.453326	+	0.837242i
$363$	−25.6333	+	10.6177i	−1.34540	+	0.557284i
$364$	3.01503	+	4.40881i	0.158030	+	0.231084i
$365$	−0.106725	+	0.257657i	−0.00558624	+	0.0134864i
$366$	−12.7595	+	15.7192i	−0.666948	+	0.821658i
$367$		−	2.87231i		−	0.149933i	−0.997186	−	0.0749666i	$-0.976115\pi$
$367$		−	2.87231i		−	0.149933i	0.997186	−	0.0749666i	$-0.0238850\pi$
$368$	5.55180	+	2.16080i	0.289408	+	0.112639i
$369$			42.1032i			2.19181i
$370$	0.567435	+	0.460593i	0.0294996	+	0.0239451i
$371$	−2.42225	+	5.84783i	−0.125757	+	0.303604i
$372$	31.0907	+	5.83709i	1.61198	+	0.302639i
$373$	13.2474	−	5.48727i	0.685926	−	0.284120i	−0.0123756	−	0.999923i	$-0.503939\pi$
$373$	13.2474	−	5.48727i	0.685926	−	0.284120i	0.698302	+	0.715803i	$0.253939\pi$
$374$	0.753254	−	0.407851i	0.0389498	−	0.0210895i
$375$	3.52851	+	3.52851i	0.182211	+	0.182211i
$376$	−29.7808	+	9.56170i	−1.53583	+	0.493107i
$377$	3.66914	−	3.66914i	0.188971	−	0.188971i
$378$	0.848879	−	2.85359i	0.0436616	−	0.146773i
$379$	−11.6319	−	28.0818i	−0.597489	−	1.44247i	−0.876132	−	0.482072i	$-0.839884\pi$
$379$	−11.6319	−	28.0818i	−0.597489	−	1.44247i	0.278642	−	0.960395i	$-0.410116\pi$
$380$	−2.45439	+	0.515738i	−0.125908	+	0.0264568i
$381$	−3.30456	−	1.36880i	−0.169298	−	0.0701255i
$382$	3.53790	+	34.0414i	0.181015	+	1.74171i
$383$	25.3691			1.29630			0.648151	−	0.761512i	$-0.275543\pi$
$383$	25.3691			1.29630			0.648151	+	0.761512i	$0.275543\pi$
$384$	−9.62649	−	27.9036i	−0.491250	−	1.42395i
$385$	−0.116065			−0.00591522
$386$	0.792866	+	7.62888i	0.0403558	+	0.388300i
$387$	−36.8586	−	15.2673i	−1.87363	−	0.776081i
$388$	26.8388	−	5.63961i	1.36254	−	0.286308i
$389$	−5.18608	−	12.5203i	−0.262945	−	0.634804i	0.736174	−	0.676793i	$-0.236631\pi$
$389$	−5.18608	−	12.5203i	−0.262945	−	0.634804i	−0.999118	+	0.0419885i	$0.986631\pi$
$390$	0.539351	−	1.81308i	0.0273111	−	0.0918089i
$391$	1.05506	−	1.05506i	0.0533565	−	0.0533565i
$392$	−2.69302	+	0.864649i	−0.136018	+	0.0436714i
$393$	16.8779	+	16.8779i	0.851377	+	0.851377i
$394$	2.67951	−	1.45083i	0.134992	−	0.0730916i
$395$	2.86742	−	1.18772i	0.144275	−	0.0597608i
$396$	−4.52423	−	0.849397i	−0.227351	−	0.0426838i
$397$	−2.87958	+	6.95193i	−0.144522	+	0.348907i	−0.979520	−	0.201345i	$-0.935469\pi$
$397$	−2.87958	+	6.95193i	−0.144522	+	0.348907i	0.834998	+	0.550253i	$0.185469\pi$
$398$	10.0593	+	8.16521i	0.504226	+	0.409285i
$399$			17.0426i			0.853197i
$400$	7.20060	−	18.5007i	0.360030	−	0.925036i
$401$		−	12.7772i		−	0.638064i	−0.947744	−	0.319032i	$-0.896642\pi$
$401$		−	12.7772i		−	0.638064i	0.947744	−	0.319032i	$-0.103358\pi$
$402$	20.9106	−	25.7612i	1.04293	−	1.28485i
$403$	6.19574	−	14.9578i	0.308632	−	0.745103i
$404$	−17.3265	−	25.3362i	−0.862027	−	1.26052i
$405$	1.05142	−	0.435513i	0.0522456	−	0.0216408i
$406$	1.30834	+	2.41636i	0.0649319	+	0.119922i
$407$	−1.15087	−	1.15087i	−0.0570463	−	0.0570463i
$408$	−7.36792	−	0.605719i	−0.364766	−	0.0299876i
$409$	−16.1955	+	16.1955i	−0.800815	+	0.800815i	−0.983223	−	0.182408i	$-0.941611\pi$
$409$	−16.1955	+	16.1955i	−0.800815	+	0.800815i	0.182408	+	0.983223i	$0.441611\pi$
$410$	−2.87794	−	0.856124i	−0.142131	−	0.0422809i
$411$	−8.84338	−	21.3498i	−0.436212	−	1.05311i
$412$	8.09751	−	12.4058i	0.398935	−	0.611192i
$413$	−7.51290	−	3.11194i	−0.369686	−	0.153129i
$414$	−7.97545	+	0.828884i	−0.391972	+	0.0407374i
$415$	−2.13678			−0.104890
$416$	−14.9890	+	1.88481i	−0.734898	+	0.0924106i
$417$	6.22876			0.305024
$418$	5.55533	−	0.577363i	0.271720	−	0.0282397i
$419$	15.9927	+	6.62438i	0.781293	+	0.323622i	0.737437	−	0.675416i	$-0.236036\pi$
$419$	15.9927	+	6.62438i	0.781293	+	0.323622i	0.0438556	+	0.999038i	$0.486036\pi$
$420$	0.838829	+	0.547518i	0.0409307	+	0.0267161i
$421$	1.50544	+	3.63446i	0.0733707	+	0.177133i	0.956310	−	0.292355i	$-0.0944388\pi$
$421$	1.50544	+	3.63446i	0.0733707	+	0.177133i	−0.882939	+	0.469487i	$0.844439\pi$
$422$	−10.8481	−	3.22708i	−0.528078	−	0.157092i
$423$	29.7681	−	29.7681i	1.44737	−	1.44737i
$424$	−11.5795	−	13.6539i	−0.562350	−	0.663094i
$425$	−3.51585	−	3.51585i	−0.170544	−	0.170544i
$426$	−16.1666	−	29.8579i	−0.783275	−	1.44662i
$427$	−5.06949	+	2.09985i	−0.245330	+	0.101619i
$428$	15.9935	−	10.9374i	0.773075	−	0.528679i
$429$	−1.61208	+	3.89190i	−0.0778319	+	0.187903i
$430$	1.79307	−	2.20900i	0.0864694	−	0.106527i
$431$		−	35.2787i		−	1.69932i	−0.527334	−	0.849658i	$-0.676808\pi$
$431$		−	35.2787i		−	1.69932i	0.527334	−	0.849658i	$-0.323192\pi$
$432$	6.08116	+	5.82477i	0.292580	+	0.280244i
$433$			7.95553i			0.382318i	0.981559	+	0.191159i	$0.0612246\pi$
$433$			7.95553i			0.382318i	−0.981559	+	0.191159i	$0.938775\pi$
$434$	6.65666	+	5.40328i	0.319530	+	0.259366i
$435$	0.372412	−	0.899081i	0.0178558	−	0.0431076i
$436$	6.41958	−	34.1933i	0.307442	−	1.63756i
$437$	8.98833	−	3.72309i	0.429970	−	0.178099i
$438$	−4.71360	+	2.55219i	−0.225225	+	0.121948i
$439$	9.90092	+	9.90092i	0.472545	+	0.472545i	0.902737	−	0.430192i	$-0.141554\pi$
$439$	9.90092	+	9.90092i	0.472545	+	0.472545i	−0.430192	+	0.902737i	$0.641554\pi$
$440$	0.150055	−	0.291980i	0.00715361	−	0.0139196i
$441$	2.69188	−	2.69188i	0.128185	−	0.128185i
$442$	−1.07882	+	3.62657i	−0.0513144	+	0.172498i
$443$	2.77797	+	6.70661i	0.131985	+	0.318640i	0.976031	−	0.217630i	$-0.0698327\pi$
$443$	2.77797	+	6.70661i	0.131985	+	0.318640i	−0.844046	+	0.536271i	$0.819833\pi$
$444$	2.88855	+	13.7466i	0.137085	+	0.652385i
$445$	1.40546	+	0.582160i	0.0666251	+	0.0275970i
$446$	1.48228	+	14.2624i	0.0701881	+	0.675343i
$447$	−43.3588			−2.05080
$448$	1.30654	−	7.89259i	0.0617280	−	0.372890i
$449$	−37.5446			−1.77184			−0.885920	−	0.463839i	$-0.846472\pi$
$449$	−37.5446			−1.77184			−0.885920	+	0.463839i	$0.846472\pi$
$450$	2.76216	+	26.5772i	0.130209	+	1.25286i
$451$	6.17770	+	2.55889i	0.290896	+	0.120493i
$452$	2.49484	+	11.8729i	0.117347	+	0.558455i
$453$	−16.7918	−	40.5389i	−0.788946	−	1.90468i
$454$	−1.76252	+	5.92489i	−0.0827193	+	0.278069i
$455$	0.362515	−	0.362515i	0.0169949	−	0.0169949i
$456$	−42.8733	−	22.0336i	−2.00773	−	1.03182i
$457$	0.646395	+	0.646395i	0.0302371	+	0.0302371i	0.722064	−	0.691827i	$-0.243194\pi$
$457$	0.646395	+	0.646395i	0.0302371	+	0.0302371i	−0.691827	+	0.722064i	$0.743194\pi$
$458$	−17.3049	+	9.36977i	−0.808604	+	0.437820i
$459$	1.94846	−	0.807080i	0.0909465	−	0.0376713i
$460$	0.105514	−	0.562011i	0.00491963	−	0.0262039i
$461$	8.99374	−	21.7128i	0.418880	−	1.01127i	−0.563792	−	0.825917i	$-0.690658\pi$
$461$	8.99374	−	21.7128i	0.418880	−	1.01127i	0.982673	−	0.185350i	$-0.0593418\pi$
$462$	−1.73201	−	1.40589i	−0.0805802	−	0.0654077i
$463$			9.12006i			0.423845i	0.977286	+	0.211922i	$0.0679724\pi$
$463$			9.12006i			0.423845i	−0.977286	+	0.211922i	$0.932028\pi$
$464$	−7.77022	+	0.167333i	−0.360724	+	0.00776823i
$465$		−	3.03639i		−	0.140809i
$466$	−14.6562	+	18.0559i	−0.678934	+	0.836425i
$467$	−6.22706	+	15.0335i	−0.288154	+	0.695666i	−0.999978	−	0.00669275i	$-0.997870\pi$
$467$	−6.22706	+	15.0335i	−0.288154	+	0.695666i	0.711823	+	0.702358i	$0.247870\pi$
$468$	16.7839	−	11.4779i	0.775834	−	0.530565i
$469$	8.30803	−	3.44130i	0.383629	−	0.158904i
$470$	1.42948	+	2.64008i	0.0659369	+	0.121778i
$471$	−7.03789	−	7.03789i	−0.324289	−	0.324289i
$472$	17.5417	−	14.8766i	0.807421	−	0.684749i
$473$	−4.48027	+	4.48027i	−0.206003	+	0.206003i
$474$	57.1765	+	17.0087i	2.62620	+	0.781237i
$475$	−12.4068	−	29.9525i	−0.569261	−	1.37432i
$476$	−1.67785	−	1.09516i	−0.0769040	−	0.0501965i
$477$	22.2620	+	9.22124i	1.01931	+	0.422212i
$478$	−1.07309	+	0.111525i	−0.0490818	+	0.00510105i
$479$	1.82345			0.0833154			0.0416577	−	0.999132i	$-0.486736\pi$
$479$	1.82345			0.0833154			0.0416577	+	0.999132i	$0.486736\pi$
$480$	−2.46185	+	1.40234i	−0.112368	+	0.0640079i
$481$	7.18917			0.327798
$482$	13.1883	−	1.37065i	0.600710	−	0.0624315i
$483$	−3.58998	−	1.48702i	−0.163350	−	0.0676617i
$484$	11.6253	−	17.8107i	0.528423	−	0.809575i
$485$	−1.00737	−	2.43202i	−0.0457425	−	0.110432i
$486$	29.5262	+	8.78339i	1.33933	+	0.398422i
$487$	10.1030	−	10.1030i	0.457809	−	0.457809i	−0.440127	−	0.897936i	$-0.645067\pi$
$487$	10.1030	−	10.1030i	0.457809	−	0.457809i	0.897936	+	0.440127i	$0.145067\pi$
$488$	1.27162	−	15.4679i	0.0575636	−	0.700199i
$489$	−26.2916	−	26.2916i	−1.18895	−	1.18895i
$490$	0.129265	+	0.238738i	0.00583961	+	0.0107851i
$491$	−28.7030	+	11.8892i	−1.29535	+	0.536551i	−0.920575	−	0.390565i	$-0.872280\pi$
$491$	−28.7030	+	11.8892i	−1.29535	+	0.536551i	−0.374774	+	0.927116i	$0.622280\pi$
$492$	−32.5765	−	47.6359i	−1.46866	−	2.14759i
$493$	−0.744907	+	1.79836i	−0.0335489	+	0.0809942i
$494$	−15.5481	+	19.1547i	−0.699540	+	0.861811i
$495$			0.441847i			0.0198595i
$496$	−22.1989	+	9.76020i	−0.996760	+	0.438246i
$497$		−	9.20232i		−	0.412781i
$498$	−31.8865	−	25.8826i	−1.42887	−	1.15983i
$499$	10.8765	−	26.2582i	0.486899	−	1.17548i	−0.469373	−	0.883000i	$-0.655520\pi$
$499$	10.8765	−	26.2582i	0.486899	−	1.17548i	0.956272	−	0.292479i	$-0.0944801\pi$
$500$	−3.75958	−	0.705838i	−0.168134	−	0.0315661i
$501$	54.5757	−	22.6060i	2.43826	−	1.00996i
$502$	−9.02149	+	4.88470i	−0.402649	+	0.218015i
$503$	10.0543	+	10.0543i	0.448300	+	0.448300i	0.894789	−	0.446489i	$-0.147326\pi$
$503$	10.0543	+	10.0543i	0.448300	+	0.448300i	−0.446489	+	0.894789i	$0.647326\pi$
$504$	3.29162	+	10.2521i	0.146621	+	0.456663i
$505$	−2.08327	+	2.08327i	−0.0927043	+	0.0927043i
$506$	−0.363100	+	1.22059i	−0.0161417	+	0.0542620i
$507$	5.85874	+	14.1443i	0.260196	+	0.628168i
$508$	2.68332	−	0.563842i	0.119053	−	0.0250165i
$509$	13.8510	+	5.73729i	0.613936	+	0.254301i	0.667911	−	0.744242i	$-0.267189\pi$
$509$	13.8510	+	5.73729i	0.613936	+	0.254301i	−0.0539742	+	0.998542i	$0.517189\pi$
$510$	0.0733531	+	0.705796i	0.00324813	+	0.0312532i
$511$	−1.45275			−0.0642660
$512$	18.1659	+	13.4908i	0.802826	+	0.596214i
$513$	13.7515			0.607144
$514$	2.05632	+	19.7857i	0.0907005	+	0.872712i
$515$	−1.31375	−	0.544173i	−0.0578907	−	0.0239791i
$516$	53.5149	−	11.2450i	2.35586	−	0.495034i
$517$	−2.55859	−	6.17699i	−0.112527	−	0.271664i
$518$	−1.08550	+	3.64901i	−0.0476942	+	0.160328i
$519$	−3.73178	+	3.73178i	−0.163807	+	0.163807i
$520$	0.443282	+	1.38064i	0.0194392	+	0.0605451i
$521$	18.0342	+	18.0342i	0.790093	+	0.790093i	0.981509	−	0.191416i	$-0.0613079\pi$
$521$	18.0342	+	18.0342i	0.790093	+	0.790093i	−0.191416	+	0.981509i	$0.561308\pi$
$522$	9.19881	−	4.98072i	0.402621	−	0.218000i
$523$	−16.6098	+	6.88002i	−0.726297	+	0.300842i	−0.715030	−	0.699094i	$-0.753587\pi$
$523$	−16.6098	+	6.88002i	−0.726297	+	0.300842i	−0.0112679	+	0.999937i	$0.503587\pi$
$524$	−17.9832	−	3.37624i	−0.785599	−	0.147492i
$525$	−4.95531	+	11.9632i	−0.216268	+	0.522116i
$526$	−32.4772	−	26.3620i	−1.41607	−	1.14944i
$527$			6.07346i			0.264564i
$528$	5.77596	−	2.53952i	0.251366	−	0.110518i
$529$		−	20.7818i		−	0.903556i
$530$	−1.08299	+	1.33420i	−0.0470420	+	0.0579542i
$531$	−11.8468	+	28.6008i	−0.514109	+	1.24117i
$532$	−7.37475	−	10.7839i	−0.319736	−	0.467543i
$533$	−27.2876	+	11.3029i	−1.18196	+	0.489583i
$534$	13.9216	+	25.7116i	0.602447	+	1.11265i
$535$	−1.31507	−	1.31507i	−0.0568553	−	0.0568553i
$536$	−2.08397	+	25.3492i	−0.0900139	+	1.09492i
$537$	−1.40684	+	1.40684i	−0.0607098	+	0.0607098i
$538$	−4.78413	−	1.42317i	−0.206258	−	0.0613573i
$539$	−0.231369	−	0.558575i	−0.00996579	−	0.0240595i
$540$	0.441787	−	0.676844i	0.0190115	−	0.0291267i
$541$	5.69248	+	2.35790i	0.244739	+	0.101374i	0.501681	−	0.865053i	$-0.332715\pi$
$541$	5.69248	+	2.35790i	0.244739	+	0.101374i	−0.256942	+	0.966427i	$0.582715\pi$
$542$	0.0529726	−	0.00550541i	0.00227537	−	0.000236478i
$543$	33.4189			1.43414
$544$	4.92426	−	2.80500i	0.211126	−	0.120263i
$545$	−3.33940			−0.143044
$546$	9.80081	−	1.01859i	0.419436	−	0.0435918i
$547$	8.65117	+	3.58343i	0.369897	+	0.153216i	0.559886	−	0.828570i	$-0.310845\pi$
$547$	8.65117	+	3.58343i	0.369897	+	0.153216i	−0.189988	+	0.981786i	$0.560845\pi$
$548$	14.8344	+	9.68263i	0.633692	+	0.413622i
$549$	7.99391	+	19.2990i	0.341172	+	0.823661i
$550$	4.06748	+	1.20999i	0.173438	+	0.0515940i
$551$	−8.97471	+	8.97471i	−0.382336	+	0.382336i
$552$	8.38216	−	7.10865i	0.356768	−	0.302564i
$553$	11.4321	+	11.4321i	0.486142	+	0.486142i
$554$	16.6714	+	30.7901i	0.708299	+	1.30815i
$555$	1.24566	−	0.515967i	0.0528751	−	0.0219016i
$556$	−3.94133	+	2.69534i	−0.167150	+	0.114308i
$557$	−14.2745	+	34.4617i	−0.604829	+	1.46019i	0.263727	+	0.964597i	$0.415048\pi$
$557$	−14.2745	+	34.4617i	−0.604829	+	1.46019i	−0.868557	+	0.495590i	$0.834952\pi$
$558$	20.5697	−	25.3412i	0.870784	−	1.07278i
$559$		−	27.9871i		−	1.18373i
$560$	−0.767705	+	0.0165326i	−0.0324414	+	0.000698631i
$561$		−	1.58026i		−	0.0667187i
$562$	2.34591	+	1.90420i	0.0989564	+	0.0803239i
$563$	−2.17771	+	5.25747i	−0.0917797	+	0.221576i	−0.963103	−	0.269134i	$-0.913263\pi$
$563$	−2.17771	+	5.25747i	−0.0917797	+	0.221576i	0.871323	+	0.490710i	$0.163263\pi$
$564$	−10.6474	+	56.7123i	−0.448336	+	2.38802i
$565$	1.07587	−	0.445640i	0.0452622	−	0.0187482i
$566$	37.3839	−	20.2416i	1.57136	−	0.850817i
$567$	4.19191	+	4.19191i	0.176044	+	0.176044i
$568$	23.1499	+	11.8973i	0.971347	+	0.499199i
$569$	7.52015	−	7.52015i	0.315261	−	0.315261i	−0.531683	−	0.846944i	$-0.678440\pi$
$569$	7.52015	−	7.52015i	0.315261	−	0.315261i	0.846944	+	0.531683i	$0.178440\pi$
$570$	−1.31925	+	4.43479i	−0.0552573	+	0.185753i
$571$	6.04368	+	14.5907i	0.252920	+	0.610604i	0.998437	−	0.0558830i	$-0.0177974\pi$
$571$	6.04368	+	14.5907i	0.252920	+	0.610604i	−0.745517	+	0.666487i	$0.767797\pi$
$572$	−0.664057	−	3.16024i	−0.0277656	−	0.132136i
$573$	58.3331	+	24.1624i	2.43690	+	1.00940i
$574$	−1.61683	−	15.5570i	−0.0674854	−	0.649338i
$575$	7.39196			0.308266
$576$	−30.0462	−	4.97384i	−1.25193	−	0.207243i
$577$	−33.6538			−1.40103			−0.700513	−	0.713639i	$-0.747046\pi$
$577$	−33.6538			−1.40103			−0.700513	+	0.713639i	$0.747046\pi$
$578$	2.33853	+	22.5011i	0.0972699	+	0.935922i
$579$	13.0728	+	5.41493i	0.543287	+	0.225037i
$580$	0.153406	+	0.730057i	0.00636983	+	0.0303140i
$581$	−4.25955	−	10.2835i	−0.176716	−	0.426630i
$582$	14.4261	−	48.4945i	0.597979	−	2.01016i
$583$	2.70602	−	2.70602i	0.112072	−	0.112072i
$584$	1.87820	−	3.65462i	0.0777205	−	0.151229i
$585$	−1.38005	−	1.38005i	−0.0570582	−	0.0570582i
$586$	−12.3210	+	6.67124i	−0.508977	+	0.275586i
$587$	−41.9605	+	17.3806i	−1.73189	+	0.717374i	−0.732568	+	0.680694i	$0.761678\pi$
$587$	−41.9605	+	17.3806i	−1.73189	+	0.717374i	−0.999327	+	0.0366804i	$0.988322\pi$
$588$	−0.962827	+	5.12840i	−0.0397063	+	0.211492i
$589$	−15.1548	+	36.5868i	−0.624441	+	1.50753i
$590$	−1.71410	−	1.39135i	−0.0705683	−	0.0572810i
$591$		−	5.62138i		−	0.231233i
$592$	−7.77626	−	7.44840i	−0.319602	−	0.306127i
$593$		−	29.2629i		−	1.20168i	−0.799369	−	0.600841i	$-0.794832\pi$
$593$		−	29.2629i		−	1.20168i	0.799369	−	0.600841i	$-0.205168\pi$
$594$	−1.13440	+	1.39754i	−0.0465448	+	0.0573417i
$595$	−0.0735974	+	0.177680i	−0.00301720	+	0.00728416i
$596$	27.4358	−	18.7624i	1.12382	−	0.768538i
$597$	22.0825	−	9.14686i	0.903776	−	0.374356i
$598$	−2.67827	−	4.94647i	−0.109523	−	0.202276i
$599$	−17.3342	−	17.3342i	−0.708254	−	0.708254i	0.257914	−	0.966168i	$-0.416965\pi$
$599$	−17.3342	−	17.3342i	−0.708254	−	0.708254i	−0.966168	+	0.257914i	$0.916965\pi$
$600$	−23.6887	−	27.9325i	−0.967089	−	1.14034i
$601$	−17.9127	+	17.9127i	−0.730675	+	0.730675i	−0.970754	−	0.240078i	$-0.922827\pi$
$601$	−17.9127	+	17.9127i	−0.730675	+	0.730675i	0.240078	+	0.970754i	$0.422827\pi$
$602$	14.2054	+	4.22581i	0.578971	+	0.172231i
$603$	−13.1006	−	31.6278i	−0.533500	−	1.28798i
$604$	28.1674	+	18.3853i	1.14612	+	0.748089i
$605$	−1.88610	−	0.781250i	−0.0766811	−	0.0317623i
$606$	−56.3225	+	5.85357i	−2.28795	+	0.237785i
$607$	−34.6844			−1.40779			−0.703897	−	0.710302i	$-0.748558\pi$
$607$	−34.6844			−1.40779			−0.703897	+	0.710302i	$0.748558\pi$
$608$	36.6631	−	4.61024i	1.48689	−	0.186970i
$609$	5.06931			0.205419
$610$	−1.48172	+	0.153994i	−0.0599931	+	0.00623505i
$611$	27.2845	+	11.3016i	1.10381	+	0.457215i
$612$	−4.16915	+	6.38738i	−0.168528	+	0.258194i
$613$	−5.25870	−	12.6956i	−0.212397	−	0.512772i	0.781394	−	0.624038i	$-0.214509\pi$
$613$	−5.25870	−	12.6956i	−0.212397	−	0.512772i	−0.993791	+	0.111267i	$0.964509\pi$
$614$	−34.5601	−	10.2809i	−1.39473	−	0.414902i
$615$	−3.91687	+	3.91687i	−0.157943	+	0.157943i
$616$	1.70431	+	0.140112i	0.0686686	+	0.00564527i
$617$	−8.45804	−	8.45804i	−0.340508	−	0.340508i	0.516050	−	0.856558i	$-0.327402\pi$
$617$	−8.45804	−	8.45804i	−0.340508	−	0.340508i	−0.856558	+	0.516050i	$0.827402\pi$
$618$	−13.0132	−	24.0339i	−0.523467	−	0.966784i
$619$	−30.8385	+	12.7737i	−1.23951	+	0.513420i	−0.903560	−	0.428462i	$-0.859056\pi$
$619$	−30.8385	+	12.7737i	−1.23951	+	0.513420i	−0.335945	+	0.941882i	$0.609056\pi$
$620$	1.31392	+	1.92131i	0.0527683	+	0.0771619i
$621$	−1.19986	+	2.89672i	−0.0481488	+	0.116241i
$622$	−9.56199	+	11.7801i	−0.383401	+	0.472338i
$623$			7.92442i			0.317485i
$624$	−10.1086	+	25.9724i	−0.404668	+	1.03973i
$625$		−	24.4486i		−	0.977943i
$626$	12.0456	+	9.77756i	0.481441	+	0.390790i
$627$	3.94314	−	9.51957i	0.157474	−	0.380175i
$628$	7.49879	+	1.40785i	0.299234	+	0.0561794i
$629$	−2.49159	+	1.03205i	−0.0993462	+	0.0411505i
$630$	0.908850	−	0.492099i	0.0362095	−	0.0196057i
$631$	1.34821	+	1.34821i	0.0536712	+	0.0536712i	0.733433	−	0.679762i	$-0.237917\pi$
$631$	1.34821	+	1.34821i	0.0536712	+	0.0536712i	−0.679762	+	0.733433i	$0.737917\pi$
$632$	−43.5393	+	13.9791i	−1.73190	+	0.556061i
$633$	−14.7643	+	14.7643i	−0.586827	+	0.586827i
$634$	9.41768	−	31.6584i	0.374024	−	1.25732i
$635$	−0.100716	−	0.243150i	−0.00399680	−	0.00964913i
$636$	−32.3222	+	6.79183i	−1.28166	+	0.269313i
$637$	2.46729	+	1.02199i	0.0977578	+	0.0404926i
$638$	−0.171736	−	1.65243i	−0.00679910	−	0.0654203i
$639$	−35.0322			−1.38585
$640$	0.950942	−	1.95265i	0.0375893	−	0.0771855i
$641$	38.3822			1.51600			0.758002	−	0.652252i	$-0.226176\pi$
$641$	38.3822			1.51600			0.758002	+	0.652252i	$0.226176\pi$
$642$	−3.69507	−	35.5537i	−0.145833	−	1.40319i
$643$	40.5595	+	16.8003i	1.59951	+	0.662539i	0.991346	−	0.131272i	$-0.0419062\pi$
$643$	40.5595	+	16.8003i	1.59951	+	0.662539i	0.608164	+	0.793811i	$0.291906\pi$
$644$	2.91508	−	0.612541i	0.114870	−	0.0241375i
$645$	−2.00864	−	4.84928i	−0.0790900	−	0.190940i
$646$	2.63880	−	8.87057i	0.103822	−	0.349008i
$647$	9.76437	−	9.76437i	0.383877	−	0.383877i	−0.488620	−	0.872497i	$-0.662499\pi$
$647$	9.76437	−	9.76437i	0.383877	−	0.383877i	0.872497	+	0.488620i	$0.162499\pi$
$648$	−15.9649	+	5.12586i	−0.627162	+	0.201363i
$649$	3.47651	+	3.47651i	0.136465	+	0.136465i
$650$	−16.4835	+	8.92503i	−0.646537	+	0.350069i
$651$	14.6129	−	6.05288i	0.572726	−	0.237231i
$652$	28.0133	+	5.25934i	1.09709	+	0.205972i
$653$	−13.4414	+	32.4503i	−0.526002	+	1.26988i	0.408121	+	0.912928i	$0.366184\pi$
$653$	−13.4414	+	32.4503i	−0.526002	+	1.26988i	−0.934123	+	0.356952i	$0.883816\pi$
$654$	−49.8329	−	40.4498i	−1.94862	−	1.58171i
$655$			1.75628i			0.0686235i
$656$	41.2265	+	16.0456i	1.60962	+	0.626476i
$657$			5.53047i			0.215764i
$658$	−9.85609	+	12.1424i	−0.384230	+	0.473359i
$659$	3.98024	−	9.60916i	0.155048	−	0.374320i	−0.827199	−	0.561909i	$-0.810067\pi$
$659$	3.98024	−	9.60916i	0.155048	−	0.374320i	0.982248	+	0.187589i	$0.0600673\pi$
$660$	−0.341870	−	0.499910i	−0.0133073	−	0.0194590i
$661$	33.0885	−	13.7057i	1.28700	−	0.533091i	0.368907	−	0.929466i	$-0.379732\pi$
$661$	33.0885	−	13.7057i	1.28700	−	0.533091i	0.918088	+	0.396376i	$0.129732\pi$
$662$	12.3618	+	22.8309i	0.480456	+	0.887348i
$663$	4.93575	+	4.93575i	0.191689	+	0.191689i
$664$	31.3766	+	2.57949i	1.21765	+	0.100103i
$665$	−0.886709	+	0.886709i	−0.0343851	+	0.0343851i
$666$	13.8914	+	4.13238i	0.538280	+	0.160127i
$667$	−1.10743	−	2.67357i	−0.0428799	−	0.103521i
$668$	−24.7513	+	37.9205i	−0.957657	+	1.46719i
$669$	24.4399	+	10.1233i	0.944901	+	0.391391i
$670$	2.42829	−	0.252371i	0.0938129	−	0.00974992i
$671$	3.31753			0.128072
$672$	−11.6565	−	9.05243i	−0.449659	−	0.349205i
$673$	34.6818			1.33688			0.668442	−	0.743764i	$-0.266961\pi$
$673$	34.6818			1.33688			0.668442	+	0.743764i	$0.266961\pi$
$674$	−33.9855	+	3.53210i	−1.30907	+	0.136051i
$675$	9.65298	+	3.99840i	0.371544	+	0.153898i
$676$	−9.82776	−	6.41474i	−0.377991	−	0.246721i
$677$	−13.0615	−	31.5332i	−0.501994	−	1.21192i	−0.948396	−	0.317088i	$-0.897295\pi$
$677$	−13.0615	−	31.5332i	−0.501994	−	1.21192i	0.446402	−	0.894833i	$-0.352705\pi$
$678$	21.4529	+	6.38177i	0.823894	+	0.245090i
$679$	9.69619	−	9.69619i	0.372106	−	0.372106i
$680$	−0.351830	−	0.414860i	−0.0134921	−	0.0159092i
$681$	8.06375	+	8.06375i	0.309004	+	0.309004i
$682$	−2.46809	−	4.55829i	−0.0945082	−	0.174546i
$683$	−13.6491	+	5.65365i	−0.522269	+	0.216331i	−0.628213	−	0.778041i	$-0.716213\pi$
$683$	−13.6491	+	5.65365i	−0.522269	+	0.216331i	0.105944	+	0.994372i	$0.466213\pi$
$684$	−41.0532	+	28.0748i	−1.56971	+	1.07347i
$685$	0.650697	−	1.57092i	0.0248619	−	0.0600219i
$686$	−0.891270	+	1.09802i	−0.0340288	+	0.0419224i
$687$			36.3041i			1.38509i
$688$	−28.9963	+	30.2726i	−1.10547	+	1.15413i
$689$			16.9038i			0.643984i
$690$	−0.819068	−	0.664846i	−0.0311814	−	0.0253103i
$691$	−10.1249	+	24.4438i	−0.385171	+	0.929885i	0.605776	+	0.795635i	$0.292863\pi$
$691$	−10.1249	+	24.4438i	−0.385171	+	0.929885i	−0.990947	+	0.134250i	$0.957137\pi$
$692$	0.746502	−	3.97617i	0.0283778	−	0.151151i
$693$	−2.12644	+	0.880798i	−0.0807766	+	0.0334588i
$694$	−30.7771	+	16.6643i	−1.16828	+	0.632570i
$695$	0.324076	+	0.324076i	0.0122929	+	0.0122929i
$696$	−6.55389	+	12.7526i	−0.248424	+	0.483387i
$697$	7.83462	−	7.83462i	0.296757	−	0.296757i
$698$	−2.58941	+	8.70455i	−0.0980107	+	0.329472i
$699$	16.4182	+	39.6370i	0.620993	+	1.49921i
$700$	−2.04122	−	9.71415i	−0.0771509	−	0.367160i
$701$	−38.6402	−	16.0053i	−1.45942	−	0.604512i	−0.495003	−	0.868892i	$-0.664833\pi$
$701$	−38.6402	−	16.0053i	−1.45942	−	0.604512i	−0.964419	+	0.264379i	$0.914833\pi$
$702$	−0.821894	−	7.90818i	−0.0310204	−	0.298475i
$703$	−17.5847			−0.663219
$704$	−2.55590	+	4.10631i	−0.0963292	+	0.154763i
$705$	5.53866			0.208598
$706$	−0.455594	−	4.38368i	−0.0171465	−	0.164982i
$707$	−14.1789	−	5.87307i	−0.533251	−	0.220880i
$708$	−8.72569	−	41.5254i	−0.327931	−	1.56062i
$709$	−6.75533	−	16.3088i	−0.253702	−	0.612490i	0.744796	−	0.667293i	$-0.232547\pi$
$709$	−6.75533	−	16.3088i	−0.253702	−	0.612490i	−0.998497	+	0.0548028i	$0.982547\pi$
$710$	0.712343	−	2.39461i	0.0267338	−	0.0898681i
$711$	43.5207	−	43.5207i	1.63215	−	1.63215i
$712$	−19.9351	−	10.2451i	−0.747100	−	0.383953i
$713$	−6.38463	−	6.38463i	−0.239106	−	0.239106i
$714$	−3.25050	+	1.75999i	−0.121647	+	0.0658659i
$715$	−0.286367	+	0.118617i	−0.0107095	+	0.00443602i
$716$	0.281423	−	1.49897i	0.0105173	−	0.0560193i
$717$	−0.761669	+	1.83883i	−0.0284451	+	0.0686724i
$718$	13.7261	+	11.1416i	0.512255	+	0.415802i
$719$		−	28.5575i		−	1.06501i	−0.846426	−	0.532507i	$-0.821250\pi$
$719$		−	28.5575i		−	1.06501i	0.846426	−	0.532507i	$-0.178750\pi$
$720$	0.0629379	+	2.92257i	0.00234556	+	0.108918i
$721$		−	7.40734i		−	0.275864i
$722$	21.0963	−	25.9900i	0.785125	−	0.967248i
$723$	9.36096	−	22.5994i	0.348138	−	0.840479i
$724$	−21.1463	+	14.4612i	−0.785895	+	0.537446i
$725$	−8.90936	+	3.69038i	−0.330885	+	0.137057i
$726$	−18.6826	−	34.5046i	−0.693376	−	1.28059i
$727$	27.9698	+	27.9698i	1.03734	+	1.03734i	0.999275	+	0.0380679i	$0.0121203\pi$
$727$	27.9698	+	27.9698i	1.03734	+	1.03734i	0.0380679	+	0.999275i	$0.487880\pi$
$728$	−5.76082	+	4.88558i	−0.213510	+	0.181072i
$729$	27.6093	−	27.6093i	1.02257	−	1.02257i
$730$	−0.378032	−	0.112456i	−0.0139916	−	0.00416219i
$731$	4.01773	+	9.69965i	0.148601	+	0.358754i
$732$	−23.9766	−	15.6499i	−0.886201	−	0.578438i
$733$	4.92582	+	2.04034i	0.181939	+	0.0753618i	0.471794	−	0.881709i	$-0.343607\pi$
$733$	4.92582	+	2.04034i	0.181939	+	0.0753618i	−0.289854	+	0.957071i	$0.593607\pi$
$734$	4.04029	−	0.419906i	0.149130	−	0.0154990i
$735$	0.500852			0.0184742
$736$	−2.22783	+	8.12526i	−0.0821191	+	0.299501i
$737$	−5.43687			−0.200270
$738$	−59.2239	+	6.15511i	−2.18006	+	0.226573i
$739$	26.9499	+	11.1630i	0.991367	+	0.410638i	0.818624	−	0.574329i	$-0.194737\pi$
$739$	26.9499	+	11.1630i	0.991367	+	0.410638i	0.172743	+	0.984967i	$0.444737\pi$
$740$	−0.564933	+	0.865510i	−0.0207674	+	0.0318168i
$741$	17.4173	+	42.0491i	0.639841	+	1.54471i
$742$	−8.57988	−	2.55233i	−0.314977	−	0.0936988i
$743$	7.73125	−	7.73125i	0.283632	−	0.283632i	−0.550924	−	0.834556i	$-0.685724\pi$
$743$	7.73125	−	7.73125i	0.283632	−	0.283632i	0.834556	+	0.550924i	$0.185724\pi$
$744$	−3.66548	+	44.5866i	−0.134383	+	1.63463i
$745$	−2.25591	−	2.25591i	−0.0826503	−	0.0826503i
$746$	9.65525	+	17.8321i	0.353504	+	0.652881i
$747$	−39.1480	+	16.2156i	−1.43235	+	0.593299i
$748$	0.683818	+	0.999931i	0.0250028	+	0.0365611i
$749$	3.70738	−	8.95042i	0.135465	−	0.327041i
$750$	−4.44749	+	5.47916i	−0.162399	+	0.200071i
$751$			14.9770i			0.546520i	0.961940	+	0.273260i	$0.0881019\pi$
$751$			14.9770i			0.546520i	−0.961940	+	0.273260i	$0.911898\pi$
$752$	−17.8035	−	40.4929i	−0.649228	−	1.47662i
$753$			18.9263i			0.689712i
$754$	5.69755	+	4.62476i	0.207493	+	0.168424i
$755$	1.23554	−	2.98286i	0.0449659	−	0.108557i
$756$	4.13806	+	0.776896i	0.150500	+	0.0282554i
$757$	25.8293	−	10.6989i	0.938783	−	0.388857i	0.139780	−	0.990183i	$-0.455361\pi$
$757$	25.8293	−	10.6989i	0.938783	−	0.388857i	0.799004	+	0.601326i	$0.205361\pi$
$758$	37.8005	−	20.4671i	1.37298	−	0.743400i
$759$	1.66122	+	1.66122i	0.0602986	+	0.0602986i
$760$	−1.08427	−	3.37704i	−0.0393305	−	0.122498i
$761$	−1.54311	+	1.54311i	−0.0559376	+	0.0559376i	−0.734522	−	0.678585i	$-0.762594\pi$
$761$	−1.54311	+	1.54311i	−0.0559376	+	0.0559376i	0.678585	+	0.734522i	$0.262594\pi$
$762$	1.44230	−	4.84843i	0.0522490	−	0.175640i
$763$	−6.65691	−	16.0712i	−0.240996	−	0.581817i
$764$	−47.3667	+	9.95310i	−1.71367	+	0.360090i
$765$	0.676408	+	0.280177i	0.0244556	+	0.0101298i
$766$	3.70874	+	35.6851i	0.134002	+	1.28936i
$767$	−21.7169			−0.784152
$768$	37.8430	−	17.6202i	1.36554	−	0.635815i
$769$	−20.1833			−0.727828			−0.363914	−	0.931432i	$-0.618560\pi$
$769$	−20.1833			−0.727828			−0.363914	+	0.931432i	$0.618560\pi$
$770$	−0.0169677	−	0.163261i	−0.000611473	−	0.00588353i
$771$	33.9047	+	14.0438i	1.22105	+	0.505775i
$772$	−10.6152	+	2.23055i	−0.382048	+	0.0802793i
$773$	−18.2400	−	44.0353i	−0.656048	−	1.58384i	−0.803856	−	0.594824i	$-0.797222\pi$
$773$	−18.2400	−	44.0353i	−0.656048	−	1.58384i	0.147807	−	0.989016i	$-0.452778\pi$
$774$	16.0872	−	54.0786i	0.578242	−	1.94381i
$775$	−21.2760	+	21.2760i	−0.764257	+	0.764257i
$776$	11.8565	+	36.9281i	0.425623	+	1.32564i
$777$	4.96630	+	4.96630i	0.178165	+	0.178165i
$778$	16.8534	−	9.12529i	0.604222	−	0.327157i
$779$	66.7454	−	27.6468i	2.39140	−	0.990551i
$780$	2.62919	+	0.493615i	0.0941403	+	0.0176743i
$781$	−2.12914	+	5.14019i	−0.0761865	+	0.183930i
$782$	1.63832	+	1.32984i	0.0585862	+	0.0475550i
$783$		−	4.09038i		−	0.146178i
$784$	−1.60994	−	3.66170i	−0.0574980	−	0.130775i
$785$		−	0.732349i		−	0.0261387i
$786$	−21.2737	+	26.2085i	−0.758807	+	0.934825i
$787$	−3.34178	+	8.06778i	−0.119122	+	0.287585i	−0.972182	−	0.234227i	$-0.924744\pi$
$787$	−3.34178	+	8.06778i	−0.119122	+	0.287585i	0.853060	+	0.521813i	$0.174744\pi$
$788$	2.43251	+	3.55700i	0.0866545	+	0.126713i
$789$	−71.2950	+	29.5314i	−2.53817	+	1.05134i
$790$	2.08989	+	3.85978i	0.0743548	+	0.137325i
$791$	4.28938	+	4.28938i	0.152513	+	0.152513i
$792$	0.533391	−	6.48812i	0.0189532	−	0.230545i
$793$	−10.3619	+	10.3619i	−0.367962	+	0.367962i
$794$	−10.1998	−	3.03422i	−0.361978	−	0.107680i
$795$	1.21319	+	2.92890i	0.0430273	+	0.103877i
$796$	−10.0149	+	15.3434i	−0.354969	+	0.543833i
$797$	−4.07954	−	1.68980i	−0.144505	−	0.0598558i	0.309259	−	0.950978i	$-0.399919\pi$
$797$	−4.07954	−	1.68980i	−0.144505	−	0.0598558i	−0.453764	+	0.891122i	$0.649919\pi$
$798$	−23.9727	+	2.49148i	−0.848626	+	0.0881973i
$799$	−11.0786			−0.391931
$800$	27.0765	+	7.42400i	0.957298	+	0.262478i
$801$	30.1674			1.06591
$802$	17.9729	−	1.86792i	0.634646	−	0.0659584i
$803$	0.811472	+	0.336123i	0.0286362	+	0.0118615i
$804$	39.2936	+	25.6476i	1.38578	+	0.904520i
$805$	−0.109415	−	0.264151i	−0.00385637	−	0.00931011i
$806$	21.9460	+	6.52846i	0.773015	+	0.229955i
$807$	−6.51118	+	6.51118i	−0.229205	+	0.229205i
$808$	33.1059	−	28.0761i	1.16466	−	0.987713i
$809$	18.7510	+	18.7510i	0.659249	+	0.659249i	0.955202	−	0.295954i	$-0.0956374\pi$
$809$	18.7510	+	18.7510i	0.659249	+	0.659249i	−0.295954	+	0.955202i	$0.595637\pi$
$810$	0.766318	+	1.41530i	0.0269257	+	0.0497286i
$811$	42.6170	−	17.6525i	1.49648	−	0.619864i	0.523768	−	0.851861i	$-0.324526\pi$
$811$	42.6170	−	17.6525i	1.49648	−	0.619864i	0.972717	+	0.231996i	$0.0745258\pi$
$812$	−3.20767	+	2.19361i	−0.112567	+	0.0769807i
$813$	0.0375996	−	0.0907734i	0.00131868	−	0.00318356i
$814$	1.45060	−	1.78710i	0.0508436	−	0.0626377i
$815$		−	2.73585i		−	0.0958326i
$816$	−0.225097	−	10.4525i	−0.00787996	−	0.365912i
$817$			68.4564i			2.39498i
$818$	−25.1488	−	20.4135i	−0.879307	−	0.713742i
$819$	3.89059	−	9.39272i	0.135948	−	0.328208i
$820$	0.783526	−	4.17338i	0.0273619	−	0.145741i
$821$	2.18044	−	0.903170i	0.0760980	−	0.0315208i	−0.344310	−	0.938856i	$-0.611887\pi$
$821$	2.18044	−	0.903170i	0.0760980	−	0.0315208i	0.420408	+	0.907335i	$0.361887\pi$
$822$	28.7386	−	15.5606i	1.00237	−	0.542738i
$823$	17.5626	+	17.5626i	0.612194	+	0.612194i	0.943517	−	0.331323i	$-0.107495\pi$
$823$	17.5626	+	17.5626i	0.612194	+	0.612194i	−0.331323	+	0.943517i	$0.607495\pi$
$824$	18.6343	+	9.57663i	0.649157	+	0.333618i
$825$	5.53583	−	5.53583i	0.192733	−	0.192733i
$826$	3.27906	−	11.0229i	0.114093	−	0.383534i
$827$	−2.80568	−	6.77350i	−0.0975629	−	0.235538i	0.867561	−	0.497330i	$-0.165686\pi$
$827$	−2.80568	−	6.77350i	−0.0975629	−	0.235538i	−0.965124	+	0.261793i	$0.915686\pi$
$828$	−2.33188	−	11.0974i	−0.0810384	−	0.385661i
$829$	−22.2947	−	9.23475i	−0.774325	−	0.320736i	−0.0397024	−	0.999212i	$-0.512641\pi$
$829$	−22.2947	−	9.23475i	−0.774325	−	0.320736i	−0.734623	+	0.678475i	$0.762641\pi$
$830$	−0.312378	−	3.00567i	−0.0108428	−	0.104328i
$831$	64.5950			2.24077
$832$	−4.84251	−	20.8086i	−0.167884	−	0.721408i
$833$	−1.00182			−0.0347109
$834$	0.910589	+	8.76161i	0.0315311	+	0.303390i
$835$	4.01568	+	1.66335i	0.138968	+	0.0575626i
$836$	1.62428	+	7.72993i	0.0561769	+	0.267345i
$837$	−4.88401	−	11.7910i	−0.168816	−	0.407558i
$838$	−6.98011	+	23.4643i	−0.241124	+	0.810561i
$839$	−2.03392	+	2.03392i	−0.0702186	+	0.0702186i	−0.741344	−	0.671125i	$-0.765811\pi$
$839$	−2.03392	+	2.03392i	−0.0702186	+	0.0702186i	0.671125	+	0.741344i	$0.265811\pi$
$840$	−0.647530	+	1.25997i	−0.0223419	+	0.0434731i
$841$	−17.8366	−	17.8366i	−0.615054	−	0.615054i
$842$	−4.89228	+	2.64893i	−0.168599	+	0.0912883i
$843$	5.14984	−	2.13313i	0.177370	−	0.0734690i
$844$	2.95343	−	15.7311i	0.101661	−	0.541488i
$845$	−0.431087	+	1.04074i	−0.0148298	+	0.0358024i
$846$	46.2247	+	37.5211i	1.58924	+	1.29000i
$847$		−	10.6345i		−	0.365404i
$848$	17.5133	−	18.2842i	0.601410	−	0.627883i
$849$		−	78.4281i		−	2.69165i
$850$	4.43154	−	5.45951i	0.152000	−	0.187260i
$851$	1.53432	−	3.70417i	0.0525957	−	0.126977i
$852$	39.6358	−	27.1055i	1.35790	−	0.928620i
$853$	−30.4390	+	12.6083i	−1.04221	+	0.431699i	−0.837106	−	0.547041i	$-0.815754\pi$
$853$	−30.4390	+	12.6083i	−1.04221	+	0.431699i	−0.205107	+	0.978740i	$0.565754\pi$
$854$	−3.69484	−	6.82395i	−0.126435	−	0.233511i
$855$	3.37560	+	3.37560i	0.115443	+	0.115443i
$856$	17.7230	+	20.8981i	0.605761	+	0.714282i
$857$	14.9230	−	14.9230i	0.509759	−	0.509759i	−0.404694	−	0.914452i	$-0.632622\pi$
$857$	14.9230	−	14.9230i	0.509759	−	0.509759i	0.914452	+	0.404694i	$0.132622\pi$
$858$	−5.71016	−	1.69865i	−0.194942	−	0.0579909i
$859$	−13.6368	−	32.9222i	−0.465282	−	1.12329i	−0.966200	−	0.257795i	$-0.917004\pi$
$859$	−13.6368	−	32.9222i	−0.465282	−	1.12329i	0.500918	−	0.865495i	$-0.332996\pi$
$860$	3.36939	+	2.19926i	0.114895	+	0.0749941i
$861$	−26.6584	−	11.0423i	−0.908517	−	0.376320i
$862$	49.6243	−	5.15743i	1.69021	−	0.175663i
$863$	−24.7974			−0.844112			−0.422056	−	0.906570i	$-0.638691\pi$
$863$	−24.7974			−0.844112			−0.422056	+	0.906570i	$0.638691\pi$
$864$	−7.30432	+	9.40552i	−0.248498	+	0.319982i
$865$	−0.388322			−0.0132033
$866$	−11.1905	+	1.16303i	−0.380270	+	0.0395213i
$867$	38.5577	+	15.9711i	1.30949	+	0.542408i
$868$	−6.62731	+	10.1534i	−0.224945	+	0.344629i
$869$	−3.74065	−	9.03072i	−0.126893	−	0.306346i
$870$	1.31912	+	0.392410i	0.0447225	+	0.0133040i
$871$	16.9814	−	16.9814i	0.575393	−	0.575393i
$872$	49.0360	+	4.03127i	1.66057	+	0.136516i
$873$	−36.9123	−	36.9123i	−1.24929	−	1.24929i
$874$	6.55105	+	12.0990i	0.221593	+	0.409256i
$875$	−1.76704	+	0.731933i	−0.0597369	+	0.0247438i
$876$	−4.27909	−	6.25722i	−0.144577	−	0.211412i
$877$	−19.9409	+	48.1415i	−0.673356	+	1.62562i	0.102514	+	0.994732i	$0.467311\pi$
$877$	−19.9409	+	48.1415i	−0.673356	+	1.62562i	−0.775870	+	0.630893i	$0.782689\pi$
$878$	−12.4796	+	15.3744i	−0.421165	+	0.518862i
$879$			25.8484i			0.871845i
$880$	0.432646	+	0.168389i	0.0145845	+	0.00567638i
$881$		−	8.95251i		−	0.301618i	−0.988563	−	0.150809i	$-0.951812\pi$
$881$		−	8.95251i		−	0.301618i	0.988563	−	0.150809i	$-0.0481878\pi$
$882$	4.18002	+	3.39297i	0.140749	+	0.114247i
$883$	5.23484	−	12.6380i	0.176166	−	0.425303i	−0.810990	−	0.585060i	$-0.801071\pi$
$883$	5.23484	−	12.6380i	0.176166	−	0.425303i	0.987156	+	0.159757i	$0.0510710\pi$
$884$	−5.25898	−	0.987342i	−0.176879	−	0.0332079i
$885$	−3.76285	+	1.55862i	−0.126487	+	0.0523925i
$886$	−9.02765	+	4.88804i	−0.303290	+	0.164217i
$887$	−18.4589	−	18.4589i	−0.619788	−	0.619788i	0.325689	−	0.945477i	$-0.394404\pi$
$887$	−18.4589	−	18.4589i	−0.619788	−	0.619788i	−0.945477	+	0.325689i	$0.894404\pi$
$888$	−18.9142	+	6.07278i	−0.634719	+	0.203789i
$889$	0.969415	−	0.969415i	0.0325131	−	0.0325131i
$890$	−0.613422	+	2.06208i	−0.0205620	+	0.0691209i
$891$	−1.37162	−	3.31138i	−0.0459509	−	0.110935i
$892$	−19.8453	+	4.17007i	−0.664470	+	0.139624i
$893$	−66.7378	−	27.6437i	−2.23330	−	0.925061i
$894$	−6.33866	−	60.9900i	−0.211997	−	2.03981i
$895$	−0.146393			−0.00489339
$896$	11.2930	+	0.683995i	0.377273	+	0.0228507i
$897$	−10.3773			−0.346486
$898$	−5.48869	−	52.8116i	−0.183160	−	1.76235i
$899$	10.8827	+	4.50777i	0.362959	+	0.150343i
$900$	−36.9807	+	7.77071i	−1.23269	+	0.259024i
$901$	−2.42665	−	5.85845i	−0.0808434	−	0.195173i
$902$	−2.69630	+	9.06386i	−0.0897769	+	0.301794i
$903$	19.3336	−	19.3336i	0.643381	−	0.643381i
$904$	−16.3362	+	5.24505i	−0.543333	+	0.174448i
$905$	1.73875	+	1.73875i	0.0577981	+	0.0577981i
$906$	54.5687	−	29.5464i	1.81293	−	0.981612i
$907$	10.8975	−	4.51388i	0.361844	−	0.149881i	−0.194352	−	0.980932i	$-0.562260\pi$
$907$	10.8975	−	4.51388i	0.361844	−	0.149881i	0.556196	+	0.831051i	$0.312260\pi$
$908$	−8.59183	−	1.61306i	−0.285130	−	0.0535314i
$909$	−22.3581	+	53.9773i	−0.741573	+	1.79032i
$910$	0.562923	+	0.456930i	0.0186607	+	0.0151471i
$911$		−	23.8661i		−	0.790718i	−0.918527	−	0.395359i	$-0.870620\pi$
$911$		−	23.8661i		−	0.790718i	0.918527	−	0.395359i	$-0.129380\pi$
$912$	24.7256	−	63.5283i	0.818747	−	2.10363i
$913$			6.72962i			0.222718i
$914$	−0.814745	+	1.00374i	−0.0269494	+	0.0332008i
$915$	−1.05171	+	2.53906i	−0.0347686	+	0.0839388i
$916$	−15.7097	−	22.9719i	−0.519063	−	0.759014i
$917$	−8.45229	+	3.50105i	−0.279119	+	0.115615i
$918$	1.42012	+	2.62279i	0.0468709	+	0.0865651i
$919$	−15.1391	−	15.1391i	−0.499393	−	0.499393i	0.411856	−	0.911249i	$-0.364881\pi$
$919$	−15.1391	−	15.1391i	−0.499393	−	0.499393i	−0.911249	+	0.411856i	$0.864881\pi$
$920$	0.805971	+	0.0662592i	0.0265721	+	0.00218450i
$921$	−47.0362	+	47.0362i	−1.54990	+	1.54990i
$922$	31.8568	+	9.47671i	1.04915	+	0.312099i
$923$	−9.40465	−	22.7048i	−0.309558	−	0.747339i
$924$	1.72437	−	2.64183i	0.0567275	−	0.0869099i
$925$	−12.3437	−	5.11293i	−0.405859	−	0.168112i
$926$	−12.8286	+	1.33327i	−0.421574	+	0.0438140i
$927$	−28.1989			−0.926174
$928$	−1.37131	−	10.9054i	−0.0450156	−	0.357988i
$929$	1.34955			0.0442774			0.0221387	−	0.999755i	$-0.492952\pi$
$929$	1.34955			0.0442774			0.0221387	+	0.999755i	$0.492952\pi$
$930$	4.27110	−	0.443893i	0.140055	−	0.0145558i
$931$	−6.03499	−	2.49977i	−0.197789	−	0.0819268i
$932$	−27.5407	−	17.9763i	−0.902127	−	0.588833i
$933$	10.7116	+	25.8600i	0.350681	+	0.846619i
$934$	−22.0570	−	6.56146i	−0.721726	−	0.214698i
$935$	0.0822194	−	0.0822194i	0.00268886	−	0.00268886i
$936$	18.5989	+	21.9308i	0.607923	+	0.716832i
$937$	−13.6981	−	13.6981i	−0.447497	−	0.447497i	0.447025	−	0.894522i	$-0.352484\pi$
$937$	−13.6981	−	13.6981i	−0.447497	−	0.447497i	−0.894522	+	0.447025i	$0.852484\pi$
$938$	6.05522	+	11.1833i	0.197710	+	0.365148i
$939$	26.4430	−	10.9531i	0.862935	−	0.357440i
$940$	−3.50466	+	2.39671i	−0.114309	+	0.0781722i
$941$	19.5399	−	47.1735i	0.636983	−	1.53781i	−0.193697	−	0.981061i	$-0.562048\pi$
$941$	19.5399	−	47.1735i	0.636983	−	1.53781i	0.830679	−	0.556751i	$-0.187952\pi$
$942$	8.87088	−	10.9286i	0.289029	−	0.356074i
$943$			16.4720i			0.536403i
$944$	23.4904	+	22.5000i	0.764546	+	0.732311i
$945$		−	0.404133i		−	0.0131464i
$946$	−6.95709	−	5.64714i	−0.226194	−	0.183604i
$947$	2.05756	−	4.96740i	0.0668618	−	0.161419i	−0.886917	−	0.461930i	$-0.847157\pi$
$947$	2.05756	−	4.96740i	0.0668618	−	0.161419i	0.953778	+	0.300511i	$0.0971572\pi$
$948$	−15.5664	+	82.9131i	−0.505574	+	2.69289i
$949$	−3.58437	+	1.48469i	−0.116353	+	0.0481952i
$950$	40.3186	−	21.8306i	1.30811	−	0.708278i
$951$	−43.0870	−	43.0870i	−1.39719	−	1.39719i
$952$	1.29520	−	2.52022i	0.0419778	−	0.0816809i
$953$	−0.375234	+	0.375234i	−0.0121550	+	0.0121550i	−0.713158	−	0.701003i	$-0.752736\pi$
$953$	−0.375234	+	0.375234i	−0.0121550	+	0.0121550i	0.701003	+	0.713158i	$0.252736\pi$
$954$	−9.71642	+	32.6627i	−0.314581	+	1.05749i
$955$	1.77787	+	4.29216i	0.0575305	+	0.138891i
$956$	−0.313751	−	1.49314i	−0.0101474	−	0.0482915i
$957$	−2.83159	−	1.17288i	−0.0915323	−	0.0379139i
$958$	0.266572	+	2.56493i	0.00861254	+	0.0828690i
$959$	8.85736			0.286019
$960$	−2.33249	−	3.25792i	−0.0752807	−	0.105149i
$961$	5.75327			0.185589
$962$	1.05099	+	10.1126i	0.0338854	+	0.326042i
$963$	−34.0733	−	14.1136i	−1.09800	−	0.454805i
$964$	3.85602	+	18.3508i	0.124194	+	0.591038i
$965$	0.398431	+	0.961898i	0.0128260	+	0.0309646i
$966$	1.56687	−	5.26719i	0.0504133	−	0.169469i
$967$	−41.0253	+	41.0253i	−1.31928	+	1.31928i	−0.404943	+	0.914342i	$0.632709\pi$
$967$	−41.0253	+	41.0253i	−1.31928	+	1.31928i	−0.914342	+	0.404943i	$0.867291\pi$
$968$	26.7526	+	13.7488i	0.859862	+	0.441904i
$969$	−12.0728	−	12.0728i	−0.387835	−	0.387835i
$970$	3.27369	−	1.77255i	0.105112	−	0.0569131i
$971$	4.71915	−	1.95473i	0.151445	−	0.0627304i	−0.305674	−	0.952136i	$-0.598882\pi$
$971$	4.71915	−	1.95473i	0.151445	−	0.0627304i	0.457118	+	0.889406i	$0.348882\pi$
$972$	−8.03857	+	42.8167i	−0.257837	+	1.37335i
$973$	−0.913623	+	2.20568i	−0.0292894	+	0.0707109i
$974$	15.6882	+	12.7342i	0.502681	+	0.408031i
$975$			34.5810i			1.10748i
$976$	21.9436	−	0.472559i	0.702398	−	0.0151262i
$977$		−	53.2488i		−	1.70358i	−0.523882	−	0.851791i	$-0.675517\pi$
$977$		−	53.2488i		−	1.70358i	0.523882	−	0.851791i	$-0.324483\pi$
$978$	33.1391	−	40.8263i	1.05967	−	1.30548i
$979$	1.83347	−	4.42639i	0.0585979	−	0.141468i
$980$	−0.316921	+	0.216731i	−0.0101237	+	0.00692321i
$981$	−61.1813	+	25.3421i	−1.95337	+	0.809112i
$982$	−20.9199	−	38.6366i	−0.667581	−	1.23294i
$983$	−20.6044	−	20.6044i	−0.657179	−	0.657179i	0.297533	−	0.954712i	$-0.403836\pi$
$983$	−20.6044	−	20.6044i	−0.657179	−	0.657179i	−0.954712	+	0.297533i	$0.903836\pi$
$984$	62.2441	−	52.7873i	1.98427	−	1.68280i
$985$	0.292475	−	0.292475i	0.00931902	−	0.00931902i
$986$	−2.63854	−	0.784909i	−0.0840284	−	0.0249966i
$987$	11.0410	+	26.6554i	0.351440	+	0.848451i
$988$	−29.2167	−	19.0702i	−0.929507	−	0.606705i
$989$	−14.4202	−	5.97303i	−0.458535	−	0.189931i
$990$	−0.621518	+	0.0645941i	−0.0197531	+	0.00205293i
$991$	−18.3568			−0.583122			−0.291561	−	0.956552i	$-0.594175\pi$
$991$	−18.3568			−0.583122			−0.291561	+	0.956552i	$0.594175\pi$
$992$	−16.9743	−	29.7989i	−0.538936	−	0.946117i
$993$	47.8972			1.51997
$994$	12.9443	−	1.34530i	0.410569	−	0.0426703i
$995$	1.62483	+	0.673027i	0.0515106	+	0.0213364i
$996$	31.7459	−	48.6366i	1.00591	−	1.54111i
$997$	−6.94826	−	16.7746i	−0.220054	−	0.531257i	0.774843	−	0.632153i	$-0.217829\pi$
$997$	−6.94826	−	16.7746i	−0.220054	−	0.531257i	−0.994897	+	0.100897i	$0.967829\pi$
$998$	38.5258	+	11.4606i	1.21951	+	0.362778i
$999$	4.00726	−	4.00726i	0.126784	−	0.126784i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	224.2.u.b.29.5	✓	40
4.3	odd	2		896.2.u.b.337.1		40
32.11	odd	8		896.2.u.b.561.1		40
32.21	even	8	inner	224.2.u.b.85.5	yes	40

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
224.2.u.b.29.5	✓	40	1.1	even	1	trivial
224.2.u.b.85.5	yes	40	32.21	even	8	inner
896.2.u.b.337.1		40	4.3	odd	2
896.2.u.b.561.1		40	32.11	odd	8

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:	\( N \)	\(=\)	\( 224 = 2^{5} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	224.u (of order \(8\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.146191 + 1.40664i) q^{2} +(2.41040 + 0.998422i) q^{3} +(-1.95726 + 0.411276i) q^{4} +(0.0734640 + 0.177358i) q^{5} +(-1.05204 + 3.53652i) q^{6} +(-0.707107 + 0.707107i) q^{7} +(-0.864649 - 2.69302i) q^{8} +(2.69188 + 2.69188i) q^{9} +O(q^{10})\)	\(q+(0.146191 + 1.40664i) q^{2} +(2.41040 + 0.998422i) q^{3} +(-1.95726 + 0.411276i) q^{4} +(0.0734640 + 0.177358i) q^{5} +(-1.05204 + 3.53652i) q^{6} +(-0.707107 + 0.707107i) q^{7} +(-0.864649 - 2.69302i) q^{8} +(2.69188 + 2.69188i) q^{9} +(-0.238738 + 0.129265i) q^{10} +(0.558575 - 0.231369i) q^{11} +(-5.12840 - 0.962827i) q^{12} +(-1.02199 + 2.46729i) q^{13} +(-1.09802 - 0.891270i) q^{14} +0.500852i q^{15} +(3.66170 - 1.60994i) q^{16} -1.00182i q^{17} +(-3.39297 + 4.18002i) q^{18} +(2.49977 - 6.03499i) q^{19} +(-0.216731 - 0.316921i) q^{20} +(-2.41040 + 0.998422i) q^{21} +(0.407112 + 0.751889i) q^{22} +(1.05314 + 1.05314i) q^{23} +(0.604621 - 7.35456i) q^{24} +(3.50948 - 3.50948i) q^{25} +(-3.61999 - 1.07687i) q^{26} +(0.805617 + 1.94493i) q^{27} +(1.09317 - 1.67481i) q^{28} +(-1.79510 - 0.743556i) q^{29} +(-0.704517 + 0.0732201i) q^{30} -6.06245 q^{31} +(2.79992 + 4.91533i) q^{32} +1.57740 q^{33} +(1.40919 - 0.146457i) q^{34} +(-0.177358 - 0.0734640i) q^{35} +(-6.37580 - 4.16159i) q^{36} +(-1.03018 - 2.48707i) q^{37} +(8.85449 + 2.63401i) q^{38} +(-4.92680 + 4.92680i) q^{39} +(0.414108 - 0.351193i) q^{40} +(7.82041 + 7.82041i) q^{41} +(-1.75680 - 3.24460i) q^{42} +(-9.68206 + 4.01044i) q^{43} +(-0.998119 + 0.682578i) q^{44} +(-0.279669 + 0.675182i) q^{45} +(-1.32743 + 1.63535i) q^{46} -11.0585i q^{47} +(10.4336 - 0.224689i) q^{48} -1.00000i q^{49} +(5.44961 + 4.42350i) q^{50} +(1.00024 - 2.41478i) q^{51} +(0.985552 - 5.24945i) q^{52} +(5.84783 - 2.42225i) q^{53} +(-2.61804 + 1.41754i) q^{54} +(0.0820704 + 0.0820704i) q^{55} +(2.51566 + 1.29286i) q^{56} +(12.0509 - 12.0509i) q^{57} +(0.783486 - 2.63376i) q^{58} +(3.11194 + 7.51290i) q^{59} +(-0.205988 - 0.980295i) q^{60} +(5.06949 + 2.09985i) q^{61} +(-0.886276 - 8.52766i) q^{62} -3.80689 q^{63} +(-6.50476 + 4.65704i) q^{64} -0.512673 q^{65} +(0.230601 + 2.21882i) q^{66} +(-8.30803 - 3.44130i) q^{67} +(0.412023 + 1.96081i) q^{68} +(1.48702 + 3.58998i) q^{69} +(0.0774091 - 0.260218i) q^{70} +(-6.50702 + 6.50702i) q^{71} +(4.92176 - 9.57682i) q^{72} +(1.02725 + 1.02725i) q^{73} +(3.34781 - 1.81268i) q^{74} +(11.9632 - 4.95531i) q^{75} +(-2.41066 + 12.8401i) q^{76} +(-0.231369 + 0.558575i) q^{77} +(-7.65048 - 6.20997i) q^{78} -16.1674i q^{79} +(0.554540 + 0.531159i) q^{80} -5.92826i q^{81} +(-9.85721 + 12.1438i) q^{82} +(-4.25955 + 10.2835i) q^{83} +(4.30715 - 2.94551i) q^{84} +(0.177680 - 0.0735974i) q^{85} +(-7.05667 - 13.0329i) q^{86} +(-3.58454 - 3.58454i) q^{87} +(-1.10606 - 1.30420i) q^{88} +(5.60341 - 5.60341i) q^{89} +(-0.990621 - 0.294688i) q^{90} +(-1.02199 - 2.46729i) q^{91} +(-2.49440 - 1.62814i) q^{92} +(-14.6129 - 6.05288i) q^{93} +(15.5553 - 1.61665i) q^{94} +1.25400 q^{95} +(1.84135 + 14.6434i) q^{96} -13.7125 q^{97} +(1.40664 - 0.146191i) q^{98} +(2.12644 + 0.880798i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 40 q + 4 q^{2} + 4 q^{3} + 8 q^{5} + 12 q^{6} - 8 q^{8} + 8 q^{9}+O(q^{10}) \) 40 * q + 4 * q^2 + 4 * q^3 + 8 * q^5 + 12 * q^6 - 8 * q^8 + 8 * q^9	\( 40 q + 4 q^{2} + 4 q^{3} + 8 q^{5} + 12 q^{6} - 8 q^{8} + 8 q^{9} - 16 q^{10} + 12 q^{11} - 36 q^{12} + 8 q^{16} + 4 q^{19} - 4 q^{21} - 52 q^{22} + 16 q^{23} - 8 q^{24} - 16 q^{25} + 12 q^{26} - 32 q^{27} + 8 q^{28} + 16 q^{29} + 36 q^{30} + 24 q^{31} - 36 q^{32} + 8 q^{33} - 8 q^{34} - 8 q^{36} + 16 q^{37} - 12 q^{38} - 24 q^{39} + 36 q^{40} + 8 q^{41} + 52 q^{43} - 44 q^{44} - 64 q^{45} - 32 q^{46} - 36 q^{48} + 52 q^{50} + 16 q^{51} - 16 q^{52} - 32 q^{54} - 8 q^{55} + 12 q^{56} - 8 q^{57} + 40 q^{58} + 20 q^{59} + 52 q^{60} - 16 q^{61} - 12 q^{62} - 24 q^{63} - 48 q^{64} - 80 q^{65} - 40 q^{66} - 4 q^{67} - 4 q^{68} - 40 q^{69} + 32 q^{70} + 72 q^{72} - 24 q^{73} - 12 q^{74} + 20 q^{75} - 72 q^{76} + 4 q^{77} + 12 q^{78} + 60 q^{80} + 16 q^{82} + 4 q^{83} + 8 q^{84} - 64 q^{85} - 48 q^{86} - 32 q^{87} + 16 q^{88} + 32 q^{89} + 20 q^{90} + 108 q^{92} - 24 q^{93} + 68 q^{94} - 80 q^{95} - 40 q^{96} + 56 q^{97} + 4 q^{98} - 60 q^{99}+O(q^{100}) \) 40 * q + 4 * q^2 + 4 * q^3 + 8 * q^5 + 12 * q^6 - 8 * q^8 + 8 * q^9 - 16 * q^10 + 12 * q^11 - 36 * q^12 + 8 * q^16 + 4 * q^19 - 4 * q^21 - 52 * q^22 + 16 * q^23 - 8 * q^24 - 16 * q^25 + 12 * q^26 - 32 * q^27 + 8 * q^28 + 16 * q^29 + 36 * q^30 + 24 * q^31 - 36 * q^32 + 8 * q^33 - 8 * q^34 - 8 * q^36 + 16 * q^37 - 12 * q^38 - 24 * q^39 + 36 * q^40 + 8 * q^41 + 52 * q^43 - 44 * q^44 - 64 * q^45 - 32 * q^46 - 36 * q^48 + 52 * q^50 + 16 * q^51 - 16 * q^52 - 32 * q^54 - 8 * q^55 + 12 * q^56 - 8 * q^57 + 40 * q^58 + 20 * q^59 + 52 * q^60 - 16 * q^61 - 12 * q^62 - 24 * q^63 - 48 * q^64 - 80 * q^65 - 40 * q^66 - 4 * q^67 - 4 * q^68 - 40 * q^69 + 32 * q^70 + 72 * q^72 - 24 * q^73 - 12 * q^74 + 20 * q^75 - 72 * q^76 + 4 * q^77 + 12 * q^78 + 60 * q^80 + 16 * q^82 + 4 * q^83 + 8 * q^84 - 64 * q^85 - 48 * q^86 - 32 * q^87 + 16 * q^88 + 32 * q^89 + 20 * q^90 + 108 * q^92 - 24 * q^93 + 68 * q^94 - 80 * q^95 - 40 * q^96 + 56 * q^97 + 4 * q^98 - 60 * q^99

Introduction

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