LMFDB - Embedded newform 77.2.f.a.64.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [77,2,Mod(15,77)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(77, base_ring=CyclotomicField(10))

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

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

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

chi := DirichletCharacter("77.15");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 77 = 7 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	77.f (of order $5$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$0.614848095564$
Analytic rank:	$0$
Dimension:	$8$
Relative dimension:	$2$ over $\Q(\zeta_{5})$
Coefficient field:	8.0.159390625.1
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{8} - x^{7} + 6x^{6} - 11x^{5} + 21x^{4} - 5x^{3} + 10x^{2} + 25x + 25 $ x^8 - x^7 + 6x^6 - 11x^5 + 21x^4 - 5x^3 + 10x^2 + 25x + 25
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			64.2
Root			$1.43801 + 1.04478i$ of defining polynomial
Character	$\chi$	$=$	77.64
Dual form			77.2.f.a.71.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.549273 - 1.69049i) q^{2} +(-0.500000 + 0.363271i) q^{3} +(-0.938015 - 0.681508i) q^{4} +(-0.858290 - 2.64154i) q^{5} +(0.339469 + 1.04478i) q^{6} +(0.809017 + 0.587785i) q^{7} +(1.20872 - 0.878189i) q^{8} +(-0.809017 + 2.48990i) q^{9} +O(q^{10})$	\(q+(0.549273 - 1.69049i) q^{2} +(-0.500000 + 0.363271i) q^{3} +(-0.938015 - 0.681508i) q^{4} +(-0.858290 - 2.64154i) q^{5} +(0.339469 + 1.04478i) q^{6} +(0.809017 + 0.587785i) q^{7} +(1.20872 - 0.878189i) q^{8} +(-0.809017 + 2.48990i) q^{9} -4.93693 q^{10} +(1.14849 + 3.11143i) q^{11} +0.716580 q^{12} +(-1.32676 + 4.08334i) q^{13} +(1.43801 - 1.04478i) q^{14} +(1.38874 + 1.00898i) q^{15} +(-1.53723 - 4.73110i) q^{16} +(-0.851514 - 2.62069i) q^{17} +(3.76477 + 2.73527i) q^{18} +(-1.56876 + 1.13977i) q^{19} +(-0.995144 + 3.06274i) q^{20} -0.618034 q^{21} +(5.89066 - 0.232480i) q^{22} +4.37009 q^{23} +(-0.285341 + 0.878189i) q^{24} +(-2.19601 + 1.59550i) q^{25} +(6.17408 + 4.48573i) q^{26} +(-1.07295 - 3.30220i) q^{27} +(-0.358290 - 1.10270i) q^{28} +(-6.98027 - 5.07146i) q^{29} +(2.46847 - 1.79345i) q^{30} +(-0.0619850 + 0.190770i) q^{31} -5.85410 q^{32} +(-1.70454 - 1.13850i) q^{33} -4.89796 q^{34} +(0.858290 - 2.64154i) q^{35} +(2.45576 - 1.78421i) q^{36} +(-0.837721 - 0.608640i) q^{37} +(1.06509 + 3.27802i) q^{38} +(-0.819981 - 2.52364i) q^{39} +(-3.35721 - 2.43916i) q^{40} +(-7.77155 + 5.64636i) q^{41} +(-0.339469 + 1.04478i) q^{42} -4.70820 q^{43} +(1.04316 - 3.70127i) q^{44} +7.27155 q^{45} +(2.40037 - 7.38759i) q^{46} +(10.5541 - 7.66797i) q^{47} +(2.48729 + 1.80712i) q^{48} +(0.309017 + 0.951057i) q^{49} +(1.49096 + 4.58869i) q^{50} +(1.37778 + 1.00101i) q^{51} +(4.02734 - 2.92604i) q^{52} +(-1.20520 + 3.70923i) q^{53} -6.17167 q^{54} +(7.23324 - 5.70428i) q^{55} +1.49406 q^{56} +(0.370334 - 1.13977i) q^{57} +(-12.4073 + 9.01445i) q^{58} +(6.92286 + 5.02975i) q^{59} +(-0.615033 - 1.89288i) q^{60} +(-0.305497 - 0.940223i) q^{61} +(0.288448 + 0.209570i) q^{62} +(-2.11803 + 1.53884i) q^{63} +(-0.141042 + 0.434084i) q^{64} +11.9251 q^{65} +(-2.86088 + 2.25615i) q^{66} -5.41745 q^{67} +(-0.987288 + 3.03856i) q^{68} +(-2.18505 + 1.58753i) q^{69} +(-3.99406 - 2.90186i) q^{70} +(-0.623302 - 1.91833i) q^{71} +(1.20872 + 3.72007i) q^{72} +(8.06677 + 5.86085i) q^{73} +(-1.48904 + 1.08185i) q^{74} +(0.518408 - 1.59550i) q^{75} +2.24828 q^{76} +(-0.899706 + 3.19226i) q^{77} -4.71658 q^{78} +(1.94479 - 5.98545i) q^{79} +(-11.1780 + 8.12131i) q^{80} +(-4.61803 - 3.35520i) q^{81} +(5.27640 + 16.2391i) q^{82} +(-0.531960 - 1.63720i) q^{83} +(0.579725 + 0.421195i) q^{84} +(-6.19182 + 4.49862i) q^{85} +(-2.58609 + 7.95916i) q^{86} +5.33245 q^{87} +(4.12062 + 2.75227i) q^{88} -15.3035 q^{89} +(3.99406 - 12.2925i) q^{90} +(-3.47350 + 2.52364i) q^{91} +(-4.09921 - 2.97825i) q^{92} +(-0.0383089 - 0.117903i) q^{93} +(-7.16556 - 22.0533i) q^{94} +(4.35721 + 3.16570i) q^{95} +(2.92705 - 2.12663i) q^{96} +(3.58961 - 11.0477i) q^{97} +1.77748 q^{98} +(-8.67628 + 0.342417i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 8 q - q^{2} - 4 q^{3} + 3 q^{4} + 3 q^{5} + 3 q^{6} + 2 q^{7} + 3 q^{8} - 2 q^{9}+O(q^{10}) $ 8 * q - q^2 - 4 * q^3 + 3 * q^4 + 3 * q^5 + 3 * q^6 + 2 * q^7 + 3 * q^8 - 2 * q^9	\( 8 q - q^{2} - 4 q^{3} + 3 q^{4} + 3 q^{5} + 3 q^{6} + 2 q^{7} + 3 q^{8} - 2 q^{9} - 28 q^{10} + 5 q^{11} - 14 q^{12} + 5 q^{13} + q^{14} + 6 q^{15} - 3 q^{16} - 11 q^{17} + 4 q^{18} - 9 q^{19} + 21 q^{20} + 4 q^{21} - q^{22} - 16 q^{23} + 21 q^{24} + 5 q^{25} + 21 q^{26} - 22 q^{27} + 7 q^{28} - 9 q^{29} + 14 q^{30} - 11 q^{31} - 20 q^{32} + 10 q^{33} - 24 q^{34} - 3 q^{35} - 2 q^{36} + 6 q^{37} + 35 q^{38} - 5 q^{39} - 16 q^{40} - 22 q^{41} - 3 q^{42} + 16 q^{43} + 29 q^{44} + 18 q^{45} + 29 q^{46} + 7 q^{47} + 4 q^{48} - 2 q^{49} - 34 q^{50} + 3 q^{51} + 21 q^{52} + 2 q^{53} + 4 q^{54} + 26 q^{55} - 18 q^{56} - 3 q^{57} - 39 q^{58} + 25 q^{59} - 38 q^{60} + 7 q^{61} - 5 q^{62} - 8 q^{63} + q^{64} + 24 q^{65} + 18 q^{66} - 30 q^{67} + 8 q^{68} + 8 q^{69} - 2 q^{70} - 14 q^{71} + 3 q^{72} + 3 q^{73} - 9 q^{74} + 5 q^{75} - 52 q^{76} - 5 q^{77} - 18 q^{78} - 9 q^{79} - 33 q^{80} - 28 q^{81} + 31 q^{82} + 23 q^{83} + 4 q^{84} - 10 q^{85} - 17 q^{86} + 12 q^{87} - 7 q^{88} - 34 q^{89} + 2 q^{90} + 5 q^{91} - 34 q^{92} + 8 q^{93} - 30 q^{94} + 24 q^{95} + 10 q^{96} + 30 q^{97} + 4 q^{98}+O(q^{100}) \) 8 * q - q^2 - 4 * q^3 + 3 * q^4 + 3 * q^5 + 3 * q^6 + 2 * q^7 + 3 * q^8 - 2 * q^9 - 28 * q^10 + 5 * q^11 - 14 * q^12 + 5 * q^13 + q^14 + 6 * q^15 - 3 * q^16 - 11 * q^17 + 4 * q^18 - 9 * q^19 + 21 * q^20 + 4 * q^21 - q^22 - 16 * q^23 + 21 * q^24 + 5 * q^25 + 21 * q^26 - 22 * q^27 + 7 * q^28 - 9 * q^29 + 14 * q^30 - 11 * q^31 - 20 * q^32 + 10 * q^33 - 24 * q^34 - 3 * q^35 - 2 * q^36 + 6 * q^37 + 35 * q^38 - 5 * q^39 - 16 * q^40 - 22 * q^41 - 3 * q^42 + 16 * q^43 + 29 * q^44 + 18 * q^45 + 29 * q^46 + 7 * q^47 + 4 * q^48 - 2 * q^49 - 34 * q^50 + 3 * q^51 + 21 * q^52 + 2 * q^53 + 4 * q^54 + 26 * q^55 - 18 * q^56 - 3 * q^57 - 39 * q^58 + 25 * q^59 - 38 * q^60 + 7 * q^61 - 5 * q^62 - 8 * q^63 + q^64 + 24 * q^65 + 18 * q^66 - 30 * q^67 + 8 * q^68 + 8 * q^69 - 2 * q^70 - 14 * q^71 + 3 * q^72 + 3 * q^73 - 9 * q^74 + 5 * q^75 - 52 * q^76 - 5 * q^77 - 18 * q^78 - 9 * q^79 - 33 * q^80 - 28 * q^81 + 31 * q^82 + 23 * q^83 + 4 * q^84 - 10 * q^85 - 17 * q^86 + 12 * q^87 - 7 * q^88 - 34 * q^89 + 2 * q^90 + 5 * q^91 - 34 * q^92 + 8 * q^93 - 30 * q^94 + 24 * q^95 + 10 * q^96 + 30 * q^97 + 4 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/77\mathbb{Z}\right)^\times$.

$n$	$45$	$57$
$\chi(n)$	$1$	$e\left(\frac{3}{5}\right)$

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 $

$2$	0.549273	−	1.69049i	0.388395	−	1.19536i	−0.545593	−	0.838050i	$-0.683696\pi$
$2$	0.549273	−	1.69049i	0.388395	−	1.19536i	0.933988	−	0.357305i	$-0.116304\pi$
$3$	−0.500000	+	0.363271i	−0.288675	+	0.209735i	−0.722692	−	0.691170i	$-0.757096\pi$
$3$	−0.500000	+	0.363271i	−0.288675	+	0.209735i	0.434017	+	0.900905i	$0.357096\pi$
$4$	−0.938015	−	0.681508i	−0.469007	−	0.340754i
$5$	−0.858290	−	2.64154i	−0.383839	−	1.18133i	−0.937319	−	0.348472i	$-0.886701\pi$
$5$	−0.858290	−	2.64154i	−0.383839	−	1.18133i	0.553480	−	0.832862i	$-0.313299\pi$
$6$	0.339469	+	1.04478i	0.138588	+	0.426529i
$7$	0.809017	+	0.587785i	0.305780	+	0.222162i
$7$	0.809017	+	0.587785i	0.305780	+	0.222162i
$8$	1.20872	−	0.878189i	0.427348	−	0.310487i
$9$	−0.809017	+	2.48990i	−0.269672	+	0.829966i
$10$	−4.93693			−1.56120
$11$	1.14849	+	3.11143i	0.346282	+	0.938131i
$11$	1.14849	+	3.11143i	0.346282	+	0.938131i
$12$	0.716580			0.206859
$13$	−1.32676	+	4.08334i	−0.367976	+	1.13251i	0.580120	+	0.814531i	$0.303006\pi$
$13$	−1.32676	+	4.08334i	−0.367976	+	1.13251i	−0.948096	+	0.317983i	$0.896994\pi$
$14$	1.43801	−	1.04478i	0.384326	−	0.279229i
$15$	1.38874	+	1.00898i	0.358572	+	0.260518i
$16$	−1.53723	−	4.73110i	−0.384307	−	1.18278i
$17$	−0.851514	−	2.62069i	−0.206522	−	0.635611i	−0.999647	−	0.0265518i	$-0.991547\pi$
$17$	−0.851514	−	2.62069i	−0.206522	−	0.635611i	0.793125	−	0.609059i	$-0.208453\pi$
$18$	3.76477	+	2.73527i	0.887365	+	0.644709i
$19$	−1.56876	+	1.13977i	−0.359898	+	0.261482i	−0.753010	−	0.658009i	$-0.771399\pi$
$19$	−1.56876	+	1.13977i	−0.359898	+	0.261482i	0.393111	+	0.919491i	$0.371399\pi$
$20$	−0.995144	+	3.06274i	−0.222521	+	0.684849i
$21$	−0.618034			−0.134866
$22$	5.89066	−	0.232480i	1.25589	−	0.0495649i
$23$	4.37009			0.911228			0.455614	−	0.890178i	$-0.349420\pi$
$23$	4.37009			0.911228			0.455614	+	0.890178i	$0.349420\pi$
$24$	−0.285341	+	0.878189i	−0.0582450	+	0.179260i
$25$	−2.19601	+	1.59550i	−0.439202	+	0.319099i
$26$	6.17408	+	4.48573i	1.21084	+	0.879725i
$27$	−1.07295	−	3.30220i	−0.206489	−	0.635508i
$28$	−0.358290	−	1.10270i	−0.0677104	−	0.208391i
$29$	−6.98027	−	5.07146i	−1.29620	−	0.941747i	−0.296293	−	0.955097i	$-0.595750\pi$
$29$	−6.98027	−	5.07146i	−1.29620	−	0.941747i	−0.999911	+	0.0133499i	$0.995750\pi$
$30$	2.46847	−	1.79345i	0.450678	−	0.327437i
$31$	−0.0619850	+	0.190770i	−0.0111328	+	0.0342634i	−0.956469	−	0.291835i	$-0.905734\pi$
$31$	−0.0619850	+	0.190770i	−0.0111328	+	0.0342634i	0.945336	+	0.326099i	$0.105734\pi$
$32$	−5.85410			−1.03487
$33$	−1.70454	−	1.13850i	−0.296721	−	0.198188i
$34$	−4.89796			−0.839993
$35$	0.858290	−	2.64154i	0.145077	−	0.446503i
$36$	2.45576	−	1.78421i	0.409293	−	0.297368i
$37$	−0.837721	−	0.608640i	−0.137720	−	0.100060i	0.516792	−	0.856111i	$-0.327126\pi$
$37$	−0.837721	−	0.608640i	−0.137720	−	0.100060i	−0.654512	+	0.756051i	$0.727126\pi$
$38$	1.06509	+	3.27802i	0.172781	+	0.531765i
$39$	−0.819981	−	2.52364i	−0.131302	−	0.404106i
$40$	−3.35721	−	2.43916i	−0.530821	−	0.385664i
$41$	−7.77155	+	5.64636i	−1.21371	+	0.881813i	−0.995563	−	0.0941021i	$-0.970002\pi$
$41$	−7.77155	+	5.64636i	−1.21371	+	0.881813i	−0.218149	+	0.975915i	$0.570002\pi$
$42$	−0.339469	+	1.04478i	−0.0523812	+	0.161213i
$43$	−4.70820			−0.717994			−0.358997	−	0.933339i	$-0.616881\pi$
$43$	−4.70820			−0.717994			−0.358997	+	0.933339i	$0.616881\pi$
$44$	1.04316	−	3.70127i	0.157263	−	0.557987i
$45$	7.27155			1.08398
$46$	2.40037	−	7.38759i	0.353916	−	1.08924i
$47$	10.5541	−	7.66797i	1.53947	−	1.11849i	0.588800	−	0.808279i	$-0.299601\pi$
$47$	10.5541	−	7.66797i	1.53947	−	1.11849i	0.950668	−	0.310210i	$-0.100399\pi$
$48$	2.48729	+	1.80712i	0.359009	+	0.260835i
$49$	0.309017	+	0.951057i	0.0441453	+	0.135865i
$50$	1.49096	+	4.58869i	0.210853	+	0.648939i
$51$	1.37778	+	1.00101i	0.192928	+	0.140170i
$52$	4.02734	−	2.92604i	0.558492	−	0.405768i
$53$	−1.20520	+	3.70923i	−0.165547	+	0.509502i	−0.999076	−	0.0429735i	$-0.986317\pi$
$53$	−1.20520	+	3.70923i	−0.165547	+	0.509502i	0.833529	+	0.552476i	$0.186317\pi$
$54$	−6.17167			−0.839857
$55$	7.23324	−	5.70428i	0.975330	−	0.769165i
$56$	1.49406			0.199653
$57$	0.370334	−	1.13977i	0.0490520	−	0.150966i
$58$	−12.4073	+	9.01445i	−1.62916	+	1.18365i
$59$	6.92286	+	5.02975i	0.901280	+	0.654818i	0.938794	−	0.344478i	$-0.111944\pi$
$59$	6.92286	+	5.02975i	0.901280	+	0.654818i	−0.0375144	+	0.999296i	$0.511944\pi$
$60$	−0.615033	−	1.89288i	−0.0794004	−	0.244369i
$61$	−0.305497	−	0.940223i	−0.0391149	−	0.120383i	0.929592	−	0.368589i	$-0.120159\pi$
$61$	−0.305497	−	0.940223i	−0.0391149	−	0.120383i	−0.968707	+	0.248206i	$0.920159\pi$
$62$	0.288448	+	0.209570i	0.0366330	+	0.0266154i
$63$	−2.11803	+	1.53884i	−0.266847	+	0.193876i
$64$	−0.141042	+	0.434084i	−0.0176303	+	0.0542605i
$65$	11.9251			1.47912
$66$	−2.86088	+	2.25615i	−0.352150	+	0.277713i
$67$	−5.41745			−0.661846			−0.330923	−	0.943658i	$-0.607360\pi$
$67$	−5.41745			−0.661846			−0.330923	+	0.943658i	$0.607360\pi$
$68$	−0.987288	+	3.03856i	−0.119726	+	0.368479i
$69$	−2.18505	+	1.58753i	−0.263049	+	0.191116i
$70$	−3.99406	−	2.90186i	−0.477382	−	0.346838i
$71$	−0.623302	−	1.91833i	−0.0739724	−	0.227664i	0.907234	−	0.420627i	$-0.138190\pi$
$71$	−0.623302	−	1.91833i	−0.0739724	−	0.227664i	−0.981206	+	0.192964i	$0.938190\pi$
$72$	1.20872	+	3.72007i	0.142449	+	0.438414i
$73$	8.06677	+	5.86085i	0.944144	+	0.685961i	0.949415	−	0.314025i	$-0.101678\pi$
$73$	8.06677	+	5.86085i	0.944144	+	0.685961i	−0.00527037	+	0.999986i	$0.501678\pi$
$74$	−1.48904	+	1.08185i	−0.173097	+	0.125762i
$75$	0.518408	−	1.59550i	0.0598606	−	0.184232i
$76$	2.24828			0.257896
$77$	−0.899706	+	3.19226i	−0.102531	+	0.363792i
$78$	−4.71658			−0.534047
$79$	1.94479	−	5.98545i	0.218806	−	0.673416i	−0.780055	−	0.625711i	$-0.784809\pi$
$79$	1.94479	−	5.98545i	0.218806	−	0.673416i	0.998861	−	0.0477054i	$-0.0151909\pi$
$80$	−11.1780	+	8.12131i	−1.24974	+	0.907991i
$81$	−4.61803	−	3.35520i	−0.513115	−	0.372800i
$82$	5.27640	+	16.2391i	0.582681	+	1.79331i
$83$	−0.531960	−	1.63720i	−0.0583902	−	0.179707i	0.917607	−	0.397488i	$-0.130118\pi$
$83$	−0.531960	−	1.63720i	−0.0583902	−	0.179707i	−0.975998	+	0.217781i	$0.930118\pi$
$84$	0.579725	+	0.421195i	0.0632532	+	0.0459561i
$85$	−6.19182	+	4.49862i	−0.671598	+	0.487944i
$86$	−2.58609	+	7.95916i	−0.278865	+	0.858259i
$87$	5.33245			0.571699
$88$	4.12062	+	2.75227i	0.439260	+	0.293393i
$89$	−15.3035			−1.62217			−0.811086	−	0.584928i	$-0.801123\pi$
$89$	−15.3035			−1.62217			−0.811086	+	0.584928i	$0.801123\pi$
$90$	3.99406	−	12.2925i	0.421011	−	1.29574i
$91$	−3.47350	+	2.52364i	−0.364121	+	0.264550i
$92$	−4.09921	−	2.97825i	−0.427373	−	0.310504i
$93$	−0.0383089	−	0.117903i	−0.00397244	−	0.0122259i
$94$	−7.16556	−	22.0533i	−0.739071	−	2.27463i
$95$	4.35721	+	3.16570i	0.447040	+	0.324794i
$96$	2.92705	−	2.12663i	0.298741	−	0.217048i
$97$	3.58961	−	11.0477i	0.364470	−	1.12172i	−0.585843	−	0.810425i	$-0.699236\pi$
$97$	3.58961	−	11.0477i	0.364470	−	1.12172i	0.950313	−	0.311297i	$-0.100764\pi$
$98$	1.77748			0.179553
$99$	−8.67628	+	0.342417i	−0.871999	+	0.0344142i
$100$	3.14723			0.314723
$101$	1.05430	−	3.24480i	0.104907	−	0.322870i	−0.884802	−	0.465968i	$-0.845706\pi$
$101$	1.05430	−	3.24480i	0.104907	−	0.322870i	0.989709	+	0.143098i	$0.0457063\pi$
$102$	2.44898	−	1.77929i	0.242485	−	0.176176i
$103$	14.7100	+	10.6875i	1.44942	+	1.05307i	0.985966	+	0.166945i	$0.0533903\pi$
$103$	14.7100	+	10.6875i	1.44942	+	1.05307i	0.463455	+	0.886121i	$0.346610\pi$
$104$	1.98226	+	6.10077i	0.194377	+	0.598230i
$105$	0.530452	+	1.63256i	0.0517668	+	0.159322i
$106$	5.60843	+	4.07476i	0.544739	+	0.395776i
$107$	−2.62725	+	1.90881i	−0.253986	+	0.184532i	−0.707491	−	0.706722i	$-0.750173\pi$
$107$	−2.62725	+	1.90881i	−0.253986	+	0.184532i	0.453506	+	0.891253i	$0.350173\pi$
$108$	−1.24403	+	3.82873i	−0.119707	+	0.368420i
$109$	12.6912			1.21559			0.607796	−	0.794093i	$-0.292054\pi$
$109$	12.6912			1.21559			0.607796	+	0.794093i	$0.292054\pi$
$110$	−5.67000	−	15.3609i	−0.540613	−	1.46461i
$111$	0.639962			0.0607425
$112$	1.53723	−	4.73110i	0.145254	−	0.447047i
$113$	14.9248	−	10.8435i	1.40401	−	1.02007i	0.409845	−	0.912155i	$-0.365583\pi$
$113$	14.9248	−	10.8435i	1.40401	−	1.02007i	0.994160	−	0.107915i	$-0.0344173\pi$
$114$	−1.72336	−	1.25209i	−0.161407	−	0.117269i
$115$	−3.75081	−	11.5438i	−0.349765	−	1.07646i
$116$	3.09136	+	9.51422i	0.287025	+	0.883373i
$117$	−9.09373	−	6.60698i	−0.840715	−	0.610816i
$118$	12.3053	−	8.94031i	1.13279	−	0.823022i
$119$	0.851514	−	2.62069i	0.0780581	−	0.240238i
$120$	2.56468			0.234122
$121$	−8.36196	+	7.14686i	−0.760178	+	0.649715i
$122$	−1.75724			−0.159093
$123$	1.83461	−	5.64636i	0.165422	−	0.509115i
$124$	0.188154	−	0.136702i	0.0168968	−	0.0122762i
$125$	−5.13577	−	3.73136i	−0.459358	−	0.333743i
$126$	1.43801	+	4.42575i	0.128109	+	0.394278i
$127$	6.02870	+	18.5544i	0.534961	+	1.64644i	0.743733	+	0.668476i	$0.233053\pi$
$127$	6.02870	+	18.5544i	0.534961	+	1.64644i	−0.208772	+	0.977964i	$0.566947\pi$
$128$	−8.81579	−	6.40505i	−0.779213	−	0.566132i
$129$	2.35410	−	1.71036i	0.207267	−	0.150588i
$130$	6.55011	−	20.1592i	0.574483	−	1.76808i
$131$	−6.89796			−0.602677			−0.301339	−	0.953517i	$-0.597433\pi$
$131$	−6.89796			−0.602677			−0.301339	+	0.953517i	$0.597433\pi$
$132$	0.822982	+	2.22959i	0.0716314	+	0.194061i
$133$	−1.93910			−0.168141
$134$	−2.97566	+	9.15813i	−0.257058	+	0.791142i
$135$	−7.80200	+	5.66849i	−0.671489	+	0.487866i
$136$	−3.33070	−	2.41990i	−0.285606	−	0.207505i
$137$	−0.806750	−	2.48292i	−0.0689253	−	0.212130i	0.910661	−	0.413154i	$-0.135573\pi$
$137$	−0.806750	−	2.48292i	−0.0689253	−	0.212130i	−0.979586	+	0.201024i	$0.935573\pi$
$138$	1.48351	+	4.56578i	0.126285	+	0.388665i
$139$	0.810097	+	0.588570i	0.0687116	+	0.0499219i	0.621611	−	0.783326i	$-0.286479\pi$
$139$	0.810097	+	0.588570i	0.0687116	+	0.0499219i	−0.552899	+	0.833248i	$0.686479\pi$
$140$	−2.60532	+	1.89288i	−0.220190	+	0.159977i
$141$	−2.49148	+	7.66797i	−0.209820	+	0.645760i
$142$	−3.58527			−0.300869
$143$	−14.2288	+	0.561550i	−1.18987	+	0.0469592i
$144$	13.0236			1.08530
$145$	−7.40540	+	22.7915i	−0.614985	+	1.89273i
$146$	14.3386	−	10.4176i	1.18667	−	0.862165i
$147$	−0.500000	−	0.363271i	−0.0412393	−	0.0299621i
$148$	0.371002	+	1.14183i	0.0304962	+	0.0938576i
$149$	−4.60273	−	14.1658i	−0.377071	−	1.16050i	−0.942071	−	0.335413i	$-0.891124\pi$
$149$	−4.60273	−	14.1658i	−0.377071	−	1.16050i	0.565000	−	0.825091i	$-0.308876\pi$
$150$	−2.41242	−	1.75272i	−0.196973	−	0.143109i
$151$	−12.7862	+	9.28970i	−1.04052	+	0.755985i	−0.970388	−	0.241552i	$-0.922344\pi$
$151$	−12.7862	+	9.28970i	−1.04052	+	0.755985i	−0.0701368	+	0.997537i	$0.522344\pi$
$152$	−0.895263	+	2.75534i	−0.0726154	+	0.223487i
$153$	7.21414			0.583229
$154$	4.90229	+	3.27436i	0.395038	+	0.263856i
$155$	0.557129			0.0447497
$156$	−0.950727	+	2.92604i	−0.0761191	+	0.234270i
$157$	−3.71438	+	2.69866i	−0.296440	+	0.215376i	−0.726056	−	0.687635i	$-0.758649\pi$
$157$	−3.71438	+	2.69866i	−0.296440	+	0.215376i	0.429616	+	0.903011i	$0.358649\pi$
$158$	−9.05011	−	6.57529i	−0.719988	−	0.523102i
$159$	−0.744856	−	2.29243i	−0.0590710	−	0.181802i
$160$	5.02452	+	15.4639i	0.397223	+	1.22253i
$161$	3.53548	+	2.56868i	0.278635	+	0.202440i
$162$	−8.20848	+	5.96381i	−0.644919	+	0.468561i
$163$	2.48377	−	7.64425i	0.194544	−	0.598744i	−0.805438	−	0.592680i	$-0.798070\pi$
$163$	2.48377	−	7.64425i	0.194544	−	0.598744i	0.999982	−	0.00606379i	$-0.00193018\pi$
$164$	11.1379			0.869721
$165$	−1.54442	+	5.47977i	−0.120233	+	0.426600i
$166$	−3.05987			−0.237492
$167$	−4.14296	+	12.7507i	−0.320592	+	0.986681i	0.652799	+	0.757531i	$0.273595\pi$
$167$	−4.14296	+	12.7507i	−0.320592	+	0.986681i	−0.973391	+	0.229150i	$0.926405\pi$
$168$	−0.747032	+	0.542750i	−0.0576348	+	0.0418741i
$169$	−4.39615	−	3.19399i	−0.338165	−	0.245691i
$170$	4.20387	+	12.9382i	0.322422	+	0.992313i
$171$	−1.56876	−	4.82815i	−0.119966	−	0.369218i
$172$	4.41637	+	3.20868i	0.336745	+	0.244659i
$173$	16.6512	−	12.0978i	1.26597	−	0.919782i	0.266936	−	0.963714i	$-0.413989\pi$
$173$	16.6512	−	12.0978i	1.26597	−	0.919782i	0.999035	+	0.0439325i	$0.0139887\pi$
$174$	2.92897	−	9.01445i	0.222045	−	0.683383i
$175$	−2.71442			−0.205191
$176$	12.9550	−	10.2166i	0.976520	−	0.770104i
$177$	−5.28860			−0.397515
$178$	−8.40581	+	25.8704i	−0.630042	+	1.93907i
$179$	3.00566	−	2.18374i	0.224653	−	0.163220i	−0.469765	−	0.882791i	$-0.655662\pi$
$179$	3.00566	−	2.18374i	0.224653	−	0.163220i	0.694419	+	0.719571i	$0.255662\pi$
$180$	−6.82082	−	4.95562i	−0.508394	−	0.369370i
$181$	1.47458	+	4.53828i	0.109604	+	0.337327i	0.990783	−	0.135455i	$-0.0432496\pi$
$181$	1.47458	+	4.53828i	0.109604	+	0.337327i	−0.881179	+	0.472783i	$0.843250\pi$
$182$	2.35829	+	7.25807i	0.174808	+	0.538004i
$183$	0.494304	+	0.359133i	0.0365400	+	0.0265479i
$184$	5.28223	−	3.83777i	0.389411	−	0.282924i
$185$	−0.888742	+	2.73527i	−0.0653416	+	0.201101i
$186$	−0.220355			−0.0161572
$187$	7.17613	−	5.65925i	0.524771	−	0.413845i
$188$	−15.1257			−1.10315
$189$	1.07295	−	3.30220i	0.0780456	−	0.240200i
$190$	7.74487	−	5.62698i	0.561872	−	0.408224i
$191$	0.670803	+	0.487367i	0.0485376	+	0.0352646i	0.611790	−	0.791021i	$-0.290450\pi$
$191$	0.670803	+	0.487367i	0.0485376	+	0.0352646i	−0.563252	+	0.826285i	$0.690450\pi$
$192$	−0.0871690	−	0.268279i	−0.00629088	−	0.0193613i
$193$	−2.08216	−	6.40824i	−0.149878	−	0.461276i	0.847728	−	0.530430i	$-0.177970\pi$
$193$	−2.08216	−	6.40824i	−0.149878	−	0.461276i	−0.997606	+	0.0691550i	$0.977970\pi$
$194$	−16.7043	−	12.1364i	−1.19930	−	0.871341i
$195$	−5.96253	+	4.33203i	−0.426986	+	0.310223i
$196$	0.358290	−	1.10270i	0.0255921	−	0.0787645i
$197$	−10.9216			−0.778129			−0.389065	−	0.921210i	$-0.627202\pi$
$197$	−10.9216			−0.778129			−0.389065	+	0.921210i	$0.627202\pi$
$198$	−4.18680	+	14.8552i	−0.297543	+	1.05572i
$199$	20.9746			1.48685			0.743424	−	0.668820i	$-0.233200\pi$
$199$	20.9746			1.48685			0.743424	+	0.668820i	$0.233200\pi$
$200$	−1.25322	+	3.85702i	−0.0886163	+	0.272733i
$201$	2.70872	−	1.96800i	0.191059	−	0.138812i
$202$	−4.90620	−	3.56457i	−0.345199	−	0.250802i
$203$	−2.66623	−	8.20580i	−0.187132	−	0.575934i
$204$	−0.610177	−	1.87793i	−0.0427210	−	0.131482i
$205$	21.5854	+	15.6827i	1.50759	+	1.09533i
$206$	26.1468	−	18.9968i	1.82174	−	1.32357i
$207$	−3.53548	+	10.8811i	−0.245733	+	0.756288i
$208$	21.3582			1.48093
$209$	−5.34802	−	3.57207i	−0.369930	−	0.247086i
$210$	3.05119			0.210552
$211$	−1.86140	+	5.72879i	−0.128144	+	0.394386i	−0.994461	−	0.105109i	$-0.966481\pi$
$211$	−1.86140	+	5.72879i	−0.128144	+	0.394386i	0.866317	+	0.499495i	$0.166481\pi$
$212$	3.65837	−	2.65796i	0.251258	−	0.182550i
$213$	1.00852	+	0.732736i	0.0691029	+	0.0502062i
$214$	1.78374	+	5.48979i	0.121934	+	0.375274i
$215$	4.04100	+	12.4369i	0.275594	+	0.848192i
$216$	−4.19685	−	3.04919i	−0.285560	−	0.207471i
$217$	−0.162279	+	0.117903i	−0.0110162	+	0.00800375i
$218$	6.97091	−	21.4542i	0.472129	−	1.45306i
$219$	−6.16247			−0.416421
$220$	−10.6724	+	0.421195i	−0.719533	+	0.0283970i
$221$	11.8309			0.795833
$222$	0.351514	−	1.08185i	0.0235921	−	0.0726089i
$223$	3.74176	−	2.71855i	0.250567	−	0.182048i	−0.455411	−	0.890281i	$-0.650508\pi$
$223$	3.74176	−	2.71855i	0.250567	−	0.182048i	0.705978	+	0.708234i	$0.250508\pi$
$224$	−4.73607	−	3.44095i	−0.316442	−	0.229908i
$225$	−2.19601	−	6.75863i	−0.146401	−	0.450575i
$226$	−10.1330	−	31.1862i	−0.674038	−	2.07448i
$227$	−13.9963	−	10.1689i	−0.928965	−	0.674932i	0.0167745	−	0.999859i	$-0.494660\pi$
$227$	−13.9963	−	10.1689i	−0.928965	−	0.674932i	−0.945739	+	0.324927i	$0.894660\pi$
$228$	−1.12414	+	0.816737i	−0.0744481	+	0.0540897i
$229$	−1.36775	+	4.20949i	−0.0903832	+	0.278171i	−0.986023	−	0.166609i	$-0.946718\pi$
$229$	−1.36775	+	4.20949i	−0.0903832	+	0.278171i	0.895640	+	0.444780i	$0.146718\pi$
$230$	−21.5749			−1.42260
$231$	−0.709804	−	1.92297i	−0.0467016	−	0.126522i
$232$	−12.8909			−0.846330
$233$	−3.25489	+	10.0175i	−0.213235	+	0.656269i	0.786039	+	0.618176i	$0.212128\pi$
$233$	−3.25489	+	10.0175i	−0.213235	+	0.656269i	−0.999274	+	0.0380929i	$0.987872\pi$
$234$	−16.1640	+	11.7438i	−1.05667	+	0.767716i
$235$	−29.3137	−	21.2977i	−1.91222	−	1.38931i
$236$	−3.06593	−	9.43597i	−0.199575	−	0.614229i
$237$	1.20195	+	3.69921i	0.0780748	+	0.240290i
$238$	−3.96253	−	2.87895i	−0.256853	−	0.186614i
$239$	7.89314	−	5.73470i	0.510565	−	0.370947i	−0.302473	−	0.953158i	$-0.597812\pi$
$239$	7.89314	−	5.73470i	0.510565	−	0.370947i	0.813038	+	0.582211i	$0.197812\pi$
$240$	2.63878	−	8.12131i	0.170332	−	0.524229i
$241$	12.5501			0.808422			0.404211	−	0.914666i	$-0.367546\pi$
$241$	12.5501			0.808422			0.404211	+	0.914666i	$0.367546\pi$
$242$	7.48869	+	18.0614i	0.481391	+	1.16103i
$243$	13.9443			0.894525
$244$	−0.354208	+	1.09014i	−0.0226759	+	0.0697892i
$245$	2.24703	−	1.63256i	0.143558	−	0.104301i
$246$	−8.53740	−	6.20278i	−0.544325	−	0.395475i
$247$	−2.57271	−	7.91798i	−0.163698	−	0.503809i
$248$	0.0926096	+	0.285023i	0.00588072	+	0.0180990i
$249$	0.860729	+	0.625357i	0.0545465	+	0.0396304i
$250$	−9.12876	+	6.63243i	−0.577353	+	0.419472i
$251$	−3.39646	+	10.4532i	−0.214383	+	0.659803i	0.784814	+	0.619732i	$0.212759\pi$
$251$	−3.39646	+	10.4532i	−0.214383	+	0.659803i	−0.999197	+	0.0400713i	$0.987241\pi$
$252$	3.03548			0.191217
$253$	5.01899	+	13.5972i	0.315541	+	0.854850i
$254$	34.6775			2.17586
$255$	1.46169	−	4.49862i	0.0915346	−	0.281715i
$256$	−16.4084	+	11.9214i	−1.02553	+	0.745089i
$257$	−4.31432	−	3.13454i	−0.269120	−	0.195527i	0.445038	−	0.895512i	$-0.353190\pi$
$257$	−4.31432	−	3.13454i	−0.269120	−	0.195527i	−0.714158	+	0.699985i	$0.753190\pi$
$258$	−1.59829	−	4.91903i	−0.0995052	−	0.306246i
$259$	−0.319981	−	0.984800i	−0.0198827	−	0.0611925i
$260$	−11.1859	−	8.12702i	−0.693719	−	0.504017i
$261$	18.2746	−	13.2773i	1.13117	−	0.821842i
$262$	−3.78886	+	11.6609i	−0.234077	+	0.720414i
$263$	−8.18034			−0.504421			−0.252211	−	0.967672i	$-0.581158\pi$
$263$	−8.18034			−0.504421			−0.252211	+	0.967672i	$0.581158\pi$
$264$	−3.06013	+	0.120771i	−0.188338	+	0.00743291i
$265$	10.8325			0.665436
$266$	−1.06509	+	3.27802i	−0.0653050	+	0.200988i
$267$	7.65177	−	5.55933i	0.468280	−	0.340226i
$268$	5.08165	+	3.69203i	0.310411	+	0.225527i
$269$	3.96899	+	12.2153i	0.241993	+	0.744779i	0.996116	+	0.0880459i	$0.0280622\pi$
$269$	3.96899	+	12.2153i	0.241993	+	0.744779i	−0.754123	+	0.656733i	$0.771938\pi$
$270$	5.29708	+	16.3027i	0.322370	+	0.992153i
$271$	17.8366	+	12.9590i	1.08349	+	0.787205i	0.978289	−	0.207246i	$-0.0664499\pi$
$271$	17.8366	+	12.9590i	1.08349	+	0.787205i	0.105206	+	0.994450i	$0.466450\pi$
$272$	−11.0898	+	8.05720i	−0.672417	+	0.488539i
$273$	0.819981	−	2.52364i	0.0496275	−	0.152738i
$274$	−4.64047			−0.280341
$275$	−7.48636	−	5.00032i	−0.451444	−	0.301531i
$276$	3.13152			0.188495
$277$	7.44019	−	22.8986i	0.447038	−	1.37584i	−0.433196	−	0.901300i	$-0.642614\pi$
$277$	7.44019	−	22.8986i	0.447038	−	1.37584i	0.880234	−	0.474541i	$-0.157386\pi$
$278$	1.43994	−	1.04617i	0.0863616	−	0.0627454i
$279$	−0.424852	−	0.308673i	−0.0254352	−	0.0184798i
$280$	−1.28234	−	3.94664i	−0.0766345	−	0.235857i
$281$	4.77179	+	14.6861i	0.284661	+	0.876097i	0.986500	+	0.163761i	$0.0523626\pi$
$281$	4.77179	+	14.6861i	0.284661	+	0.876097i	−0.701839	+	0.712336i	$0.747637\pi$
$282$	11.5941	+	8.42362i	0.690420	+	0.501619i
$283$	2.71613	−	1.97338i	0.161457	−	0.117305i	−0.504123	−	0.863632i	$-0.668184\pi$
$283$	2.71613	−	1.97338i	0.161457	−	0.117305i	0.665580	+	0.746326i	$0.268184\pi$
$284$	−0.722688	+	2.22421i	−0.0428836	+	0.131982i
$285$	−3.32861			−0.197170
$286$	−6.86618	+	24.3620i	−0.406006	+	1.44056i
$287$	−9.60616			−0.567034
$288$	4.73607	−	14.5761i	0.279075	−	0.858906i
$289$	7.61035	−	5.52924i	0.447668	−	0.325250i
$290$	34.4611	+	25.0375i	2.02363	+	1.47025i
$291$	2.21850	+	6.82784i	0.130051	+	0.400255i
$292$	−3.57254	−	10.9951i	−0.209067	−	0.643442i
$293$	−5.53129	−	4.01872i	−0.323142	−	0.234776i	0.414373	−	0.910107i	$-0.364001\pi$
$293$	−5.53129	−	4.01872i	−0.323142	−	0.234776i	−0.737515	+	0.675331i	$0.764001\pi$
$294$	−0.888742	+	0.645709i	−0.0518325	+	0.0376585i
$295$	7.34450	−	22.6040i	0.427613	−	1.31606i
$296$	−1.54707			−0.0899218
$297$	9.04228	−	7.13093i	0.524686	−	0.413779i
$298$	−26.4752			−1.53367
$299$	−5.79805	+	17.8446i	−0.335310	+	1.03198i
$300$	−1.57362	+	1.14330i	−0.0908528	+	0.0660084i
$301$	−3.80902	−	2.76741i	−0.219548	−	0.159511i
$302$	8.68103	+	26.7175i	0.499537	+	1.53742i
$303$	0.651594	+	2.00540i	0.0374331	+	0.115207i
$304$	7.80392	+	5.66988i	0.447586	+	0.325190i
$305$	−2.22144	+	1.61397i	−0.127199	+	0.0924155i
$306$	3.96253	−	12.1954i	0.226523	−	0.697166i
$307$	−11.7970			−0.673293			−0.336646	−	0.941631i	$-0.609293\pi$
$307$	−11.7970			−0.673293			−0.336646	+	0.941631i	$0.609293\pi$
$308$	3.01949	−	2.38123i	0.172051	−	0.135683i
$309$	−11.2375			−0.639276
$310$	0.306016	−	0.941821i	0.0173805	−	0.0534918i
$311$	−20.4794	+	14.8791i	−1.16128	+	0.843718i	−0.989939	−	0.141494i	$-0.954809\pi$
$311$	−20.4794	+	14.8791i	−1.16128	+	0.843718i	−0.171339	+	0.985212i	$0.554809\pi$
$312$	−3.20736	−	2.33029i	−0.181581	−	0.131926i
$313$	−6.07352	−	18.6924i	−0.343296	−	1.05656i	−0.962490	−	0.271318i	$-0.912540\pi$
$313$	−6.07352	−	18.6924i	−0.343296	−	1.05656i	0.619194	−	0.785238i	$-0.287460\pi$
$314$	2.52184	+	7.76141i	0.142315	+	0.438002i
$315$	5.88281	+	4.27411i	0.331459	+	0.240819i
$316$	−5.90337	+	4.28905i	−0.332091	+	0.241278i
$317$	1.11572	−	3.43385i	0.0626653	−	0.192864i	−0.914822	−	0.403856i	$-0.867670\pi$
$317$	1.11572	−	3.43385i	0.0626653	−	0.192864i	0.977488	+	0.210992i	$0.0676695\pi$
$318$	−4.28446			−0.240261
$319$	7.76275	−	27.5431i	0.434630	−	1.54212i
$320$	1.26771			0.0708670
$321$	0.620210	−	1.90881i	0.0346167	−	0.106539i
$322$	6.28426	−	4.56578i	0.350208	−	0.254441i
$323$	4.32281	+	3.14071i	0.240528	+	0.174754i
$324$	2.04519	+	6.29445i	0.113622	+	0.349692i
$325$	−3.60137	−	11.0839i	−0.199768	−	0.614824i
$326$	−11.5582	−	8.39756i	−0.640152	−	0.465098i
$327$	−6.34558	+	4.61033i	−0.350911	+	0.254952i
$328$	−4.43508	+	13.6498i	−0.244886	+	0.753683i
$329$	13.0455			0.719224
$330$	8.41518	+	5.62071i	0.463240	+	0.309410i
$331$	−26.5335			−1.45841			−0.729205	−	0.684295i	$-0.760110\pi$
$331$	−26.5335			−1.45841			−0.729205	+	0.684295i	$0.760110\pi$
$332$	−0.616781	+	1.89826i	−0.0338503	+	0.104180i
$333$	2.19318	−	1.59344i	0.120186	−	0.0873200i
$334$	19.2793	+	14.0073i	1.05492	+	0.766443i
$335$	4.64974	+	14.3104i	0.254042	+	0.781862i
$336$	0.950059	+	2.92398i	0.0518300	+	0.159516i
$337$	0.554969	+	0.403208i	0.0302311	+	0.0219642i	0.602798	−	0.797894i	$-0.294052\pi$
$337$	0.554969	+	0.403208i	0.0302311	+	0.0219642i	−0.572567	+	0.819858i	$0.694052\pi$
$338$	−7.81408	+	5.67726i	−0.425030	+	0.308802i
$339$	−3.52326	+	10.8435i	−0.191357	+	0.588938i
$340$	8.87387			0.481253
$341$	−0.664757	+	0.0262352i	−0.0359986	+	0.00142071i
$342$	−9.02361			−0.487941
$343$	−0.309017	+	0.951057i	−0.0166853	+	0.0513522i
$344$	−5.69091	+	4.13469i	−0.306834	+	0.222928i
$345$	6.06893	+	4.40934i	0.326740	+	0.237391i
$346$	−11.3052	−	34.7937i	−0.607770	−	1.87052i
$347$	6.64555	+	20.4529i	0.356752	+	1.09797i	0.954987	+	0.296649i	$0.0958690\pi$
$347$	6.64555	+	20.4529i	0.356752	+	1.09797i	−0.598235	+	0.801321i	$0.704131\pi$
$348$	−5.00192	−	3.63411i	−0.268131	−	0.194809i
$349$	−15.7296	+	11.4282i	−0.841987	+	0.611739i	−0.922925	−	0.384980i	$-0.874208\pi$
$349$	−15.7296	+	11.4282i	−0.841987	+	0.611739i	0.0809381	+	0.996719i	$0.474208\pi$
$350$	−1.49096	+	4.58869i	−0.0796950	+	0.245276i
$351$	14.9075			0.795705
$352$	−6.72336	−	18.2146i	−0.358356	−	0.970842i
$353$	−20.9307			−1.11403			−0.557015	−	0.830502i	$-0.688053\pi$
$353$	−20.9307			−1.11403			−0.557015	+	0.830502i	$0.688053\pi$
$354$	−2.90488	+	8.94031i	−0.154393	+	0.475172i
$355$	−4.53237	+	3.29296i	−0.240553	+	0.174772i
$356$	14.3549	+	10.4295i	0.760810	+	0.552761i
$357$	0.526264	+	1.61968i	0.0278529	+	0.0857223i
$358$	−2.04066	−	6.28050i	−0.107852	−	0.331935i
$359$	−7.90512	−	5.74341i	−0.417216	−	0.303125i	0.359300	−	0.933222i	$-0.383015\pi$
$359$	−7.90512	−	5.74341i	−0.417216	−	0.303125i	−0.776517	+	0.630096i	$0.783015\pi$
$360$	8.78929	−	6.38579i	0.463236	−	0.336561i
$361$	−4.70939	+	14.4940i	−0.247863	+	0.762843i
$362$	8.48185			0.445796
$363$	1.58473	−	6.61109i	0.0831767	−	0.346992i
$364$	4.97807			0.260922
$365$	8.55808	−	26.3390i	0.447950	−	1.37865i
$366$	0.878618	−	0.638353i	0.0459261	−	0.0333673i
$367$	−8.00901	−	5.81889i	−0.418067	−	0.303744i	0.358793	−	0.933417i	$-0.383189\pi$
$367$	−8.00901	−	5.81889i	−0.418067	−	0.303744i	−0.776860	+	0.629674i	$0.783189\pi$
$368$	−6.71783	−	20.6754i	−0.350191	−	1.07778i
$369$	−7.77155	−	23.9184i	−0.404571	−	1.24514i
$370$	4.13577	+	3.00482i	0.215009	+	0.156213i
$371$	−3.15526	+	2.29243i	−0.163813	+	0.119017i
$372$	−0.0444172	+	0.136702i	−0.00230293	+	0.00708768i
$373$	−4.27475			−0.221338			−0.110669	−	0.993857i	$-0.535299\pi$
$373$	−4.27475			−0.221338			−0.110669	+	0.993857i	$0.535299\pi$
$374$	−5.62524	−	15.2396i	−0.290874	−	0.788023i
$375$	3.92338			0.202603
$376$	6.02301	−	18.5369i	0.310613	−	0.955968i
$377$	29.9696	−	21.7742i	1.54351	−	1.12143i
$378$	−4.99298	−	3.62761i	−0.256811	−	0.186584i
$379$	1.33679	+	4.11421i	0.0686662	+	0.211333i	0.979501	−	0.201437i	$-0.0645612\pi$
$379$	1.33679	+	4.11421i	0.0686662	+	0.211333i	−0.910835	+	0.412770i	$0.864561\pi$
$380$	−1.92968	−	5.93894i	−0.0989905	−	0.304661i
$381$	−9.75465	−	7.08717i	−0.499746	−	0.363087i
$382$	1.19234	−	0.866287i	0.0610055	−	0.0443231i
$383$	−0.408551	+	1.25739i	−0.0208760	+	0.0642497i	−0.960952	−	0.276716i	$-0.910754\pi$
$383$	−0.408551	+	1.25739i	−0.0208760	+	0.0642497i	0.940076	+	0.340966i	$0.110754\pi$
$384$	6.73467			0.343677
$385$	9.20471	−	0.363271i	0.469115	−	0.0185140i
$386$	−11.9767			−0.609600
$387$	3.80902	−	11.7229i	0.193623	−	0.595911i
$388$	−10.8962	+	7.91654i	−0.553170	+	0.401902i
$389$	31.1546	+	22.6351i	1.57960	+	1.14765i	0.917152	+	0.398537i	$0.130482\pi$
$389$	31.1546	+	22.6351i	1.57960	+	1.14765i	0.662447	+	0.749109i	$0.269518\pi$
$390$	4.04819	+	12.4591i	0.204988	+	0.630889i
$391$	−3.72119	−	11.4527i	−0.188189	−	0.579186i
$392$	1.20872	+	0.878189i	0.0610497	+	0.0443552i
$393$	3.44898	−	2.50583i	0.173978	−	0.126402i
$394$	−5.99892	+	18.4628i	−0.302221	+	0.930141i
$395$	−17.4800			−0.879516
$396$	8.37184	+	5.59176i	0.420701	+	0.280997i
$397$	−0.410109			−0.0205828			−0.0102914	−	0.999947i	$-0.503276\pi$
$397$	−0.410109			−0.0205828			−0.0102914	+	0.999947i	$0.503276\pi$
$398$	11.5208	−	35.4573i	0.577484	−	1.77731i
$399$	0.969548	−	0.704418i	0.0485381	−	0.0352650i
$400$	10.9242	+	7.93691i	0.546211	+	0.396846i
$401$	−0.484180	−	1.49015i	−0.0241788	−	0.0744147i	0.938239	−	0.345988i	$-0.112456\pi$
$401$	−0.484180	−	1.49015i	−0.0241788	−	0.0744147i	−0.962418	+	0.271573i	$0.912456\pi$
$402$	−1.83906	−	5.66003i	−0.0917238	−	0.282297i
$403$	−0.696741	−	0.506212i	−0.0347071	−	0.0252162i
$404$	−3.20031	+	2.32516i	−0.159221	+	0.115681i
$405$	−4.89929	+	15.0785i	−0.243448	+	0.749255i
$406$	−15.3363			−0.761127
$407$	0.931628	−	3.30552i	0.0461791	−	0.163849i
$408$	2.54443			0.125968
$409$	−2.09468	+	6.44676i	−0.103575	+	0.318772i	−0.989393	−	0.145261i	$-0.953598\pi$
$409$	−2.09468	+	6.44676i	−0.103575	+	0.318772i	0.885818	+	0.464032i	$0.153598\pi$
$410$	38.3676	−	27.8757i	1.89484	−	1.37668i
$411$	1.30535	+	0.948391i	0.0643881	+	0.0467807i
$412$	−6.51463	−	20.0500i	−0.320953	−	0.987792i
$413$	2.64430	+	8.13831i	0.130117	+	0.400460i
$414$	16.4524	+	11.9534i	0.808592	+	0.587476i
$415$	−3.86817	+	2.81039i	−0.189881	+	0.137957i
$416$	7.76697	−	23.9043i	0.380807	−	1.17200i
$417$	−0.618859			−0.0303057
$418$	−8.97607	+	7.07872i	−0.439034	+	0.346231i
$419$	28.7218			1.40315			0.701577	−	0.712594i	$-0.252480\pi$
$419$	28.7218			1.40315			0.701577	+	0.712594i	$0.252480\pi$
$420$	0.615033	−	1.89288i	0.0300105	−	0.0923629i
$421$	−9.89070	+	7.18601i	−0.482043	+	0.350225i	−0.802116	−	0.597168i	$-0.796293\pi$
$421$	−9.89070	+	7.18601i	−0.482043	+	0.350225i	0.320073	+	0.947393i	$0.396293\pi$
$422$	8.66204	+	6.29334i	0.421661	+	0.306355i
$423$	10.5541	+	32.4821i	0.513156	+	1.57933i
$424$	1.80065	+	5.54183i	0.0874473	+	0.269135i
$425$	6.05123	+	4.39648i	0.293528	+	0.213260i
$426$	1.79264	−	1.30243i	0.0868535	−	0.0631028i
$427$	0.305497	−	0.940223i	0.0147840	−	0.0455006i
$428$	3.76527			0.182001
$429$	6.91039	−	5.44968i	0.333637	−	0.263113i
$430$	23.2441			1.12093
$431$	1.14067	−	3.51063i	0.0549442	−	0.169101i	−0.919819	−	0.392344i	$-0.871664\pi$
$431$	1.14067	−	3.51063i	0.0549442	−	0.169101i	0.974763	+	0.223243i	$0.0716643\pi$
$432$	−13.9737	+	10.1525i	−0.672308	+	0.488461i
$433$	−23.5221	−	17.0898i	−1.13040	−	0.821283i	−0.144646	−	0.989483i	$-0.546204\pi$
$433$	−23.5221	−	17.0898i	−1.13040	−	0.821283i	−0.985753	+	0.168201i	$0.946204\pi$
$434$	0.110177	+	0.339091i	0.00528869	+	0.0162769i
$435$	−4.57679	−	14.0859i	−0.219440	−	0.675368i
$436$	−11.9045	−	8.64912i	−0.570122	−	0.414218i
$437$	−6.85563	+	4.98091i	−0.327949	+	0.238269i
$438$	−3.38488	+	10.4176i	−0.161736	+	0.497771i
$439$	−14.2017			−0.677811			−0.338905	−	0.940820i	$-0.610057\pi$
$439$	−14.2017			−0.677811			−0.338905	+	0.940820i	$0.610057\pi$
$440$	3.73355	−	13.2470i	0.177990	−	0.631528i
$441$	−2.61803			−0.124668
$442$	6.49840	−	20.0000i	0.309097	−	0.951304i
$443$	−22.0341	+	16.0087i	−1.04687	+	0.760595i	−0.971615	−	0.236569i	$-0.923977\pi$
$443$	−22.0341	+	16.0087i	−1.04687	+	0.760595i	−0.0752548	+	0.997164i	$0.523977\pi$
$444$	−0.600294	−	0.436139i	−0.0284887	−	0.0206982i
$445$	13.1349	+	40.4250i	0.622652	+	1.91633i
$446$	−2.54043	−	7.81863i	−0.120293	−	0.370223i
$447$	7.44738	+	5.41084i	0.352249	+	0.255924i
$448$	−0.369254	+	0.268279i	−0.0174456	+	0.0126750i
$449$	−12.9527	+	39.8644i	−0.611277	+	1.88132i	−0.165389	+	0.986228i	$0.552888\pi$
$449$	−12.9527	+	39.8644i	−0.611277	+	1.88132i	−0.445888	+	0.895089i	$0.647112\pi$
$450$	−12.6316			−0.595459
$451$	−26.4938	−	17.6958i	−1.24754	−	0.833265i
$452$	−21.3896			−1.00608
$453$	3.01841	−	9.28970i	0.141817	−	0.436468i
$454$	−24.8781	+	18.0750i	−1.16759	+	0.848303i
$455$	9.64758	+	7.00938i	0.452285	+	0.328605i
$456$	−0.553303	−	1.70289i	−0.0259108	−	0.0797452i
$457$	6.02512	+	18.5434i	0.281843	+	0.867424i	0.987327	+	0.158698i	$0.0507296\pi$
$457$	6.02512	+	18.5434i	0.281843	+	0.867424i	−0.705484	+	0.708726i	$0.749270\pi$
$458$	6.36483	+	4.62432i	0.297409	+	0.216080i
$459$	−7.74040	+	5.62373i	−0.361291	+	0.262493i
$460$	−4.34887	+	13.3845i	−0.202767	+	0.624054i
$461$	12.2251			0.569380			0.284690	−	0.958620i	$-0.408109\pi$
$461$	12.2251			0.569380			0.284690	+	0.958620i	$0.408109\pi$
$462$	−3.64063	+	0.143680i	−0.169377	+	0.00668462i
$463$	13.8550			0.643894			0.321947	−	0.946758i	$-0.395663\pi$
$463$	13.8550			0.643894			0.321947	+	0.946758i	$0.395663\pi$
$464$	−13.2633	+	40.8204i	−0.615735	+	1.89504i
$465$	−0.278565	+	0.202389i	−0.0129181	+	0.00938557i
$466$	15.1467	+	11.0047i	0.701656	+	0.509783i
$467$	−5.07428	−	15.6170i	−0.234810	−	0.722671i	−0.997147	−	0.0754899i	$-0.975948\pi$
$467$	−5.07428	−	15.6170i	−0.234810	−	0.722671i	0.762337	−	0.647181i	$-0.224052\pi$
$468$	4.02734	+	12.3949i	0.186164	+	0.572954i
$469$	−4.38281	−	3.18429i	−0.202379	−	0.147037i
$470$	−52.1047	+	37.8563i	−2.40341	+	1.74618i
$471$	0.876846	−	2.69866i	0.0404029	−	0.124347i
$472$	12.7849			0.588473
$473$	−5.40731	−	14.6492i	−0.248628	−	0.673572i
$474$	6.91367			0.317555
$475$	1.62652	−	5.00590i	0.0746297	−	0.229687i
$476$	−2.58475	+	1.87793i	−0.118472	+	0.0860749i
$477$	−8.26058	−	6.00167i	−0.378226	−	0.274797i
$478$	−5.35896	−	16.4932i	−0.245113	−	0.754380i
$479$	−7.66096	−	23.5780i	−0.350038	−	1.07731i	−0.958831	−	0.283977i	$-0.908346\pi$
$479$	−7.66096	−	23.5780i	−0.350038	−	1.07731i	0.608793	−	0.793329i	$-0.291654\pi$
$480$	−8.12984	−	5.90667i	−0.371075	−	0.269602i
$481$	3.59674	−	2.61318i	0.163997	−	0.119151i
$482$	6.89342	−	21.2158i	0.313987	−	0.966352i
$483$	−2.70087			−0.122894
$484$	12.7143	−	1.00512i	0.577922	−	0.0456875i
$485$	−32.2639			−1.46503
$486$	7.65921	−	23.5726i	0.347429	−	1.06928i
$487$	11.5966	−	8.42542i	0.525492	−	0.381792i	−0.293177	−	0.956058i	$-0.594712\pi$
$487$	11.5966	−	8.42542i	0.525492	−	0.381792i	0.818669	+	0.574266i	$0.194712\pi$
$488$	−1.19495	−	0.868185i	−0.0540930	−	0.0393009i
$489$	1.53505	+	4.72441i	0.0694175	+	0.213645i
$490$	−1.52560	−	4.69530i	−0.0689194	−	0.212112i
$491$	17.8140	+	12.9426i	0.803935	+	0.584093i	0.912066	−	0.410044i	$-0.134486\pi$
$491$	17.8140	+	12.9426i	0.803935	+	0.584093i	−0.108131	+	0.994137i	$0.534486\pi$
$492$	−5.56893	+	4.04607i	−0.251067	+	0.182411i
$493$	−7.34694	+	22.6115i	−0.330889	+	1.01837i
$494$	−14.7984			−0.665810
$495$	8.35127	+	22.6249i	0.375362	+	1.01691i
$496$	0.997839			0.0448043
$497$	0.623302	−	1.91833i	0.0279589	−	0.0860487i
$498$	1.52993	−	1.11156i	0.0685579	−	0.0498103i
$499$	20.4776	+	14.8779i	0.916704	+	0.666024i	0.942701	−	0.333638i	$-0.108276\pi$
$499$	20.4776	+	14.8779i	0.916704	+	0.666024i	−0.0259975	+	0.999662i	$0.508276\pi$
$500$	2.27448	+	7.00014i	0.101718	+	0.313056i
$501$	−2.56049	−	7.88038i	−0.114394	−	0.352070i
$502$	15.8055	+	11.4834i	0.705434	+	0.512528i
$503$	21.0518	−	15.2950i	0.938653	−	0.681971i	−0.00944301	−	0.999955i	$-0.503006\pi$
$503$	21.0518	−	15.2950i	0.938653	−	0.681971i	0.948096	+	0.317984i	$0.103006\pi$
$504$	−1.20872	+	3.72007i	−0.0538408	+	0.165705i
$505$	−9.47619			−0.421685
$506$	25.7427	−	1.01596i	1.14440	−	0.0451649i
$507$	3.35836			0.149150
$508$	6.98998	−	21.5130i	0.310130	−	0.954483i
$509$	−30.8453	+	22.4104i	−1.36719	+	0.993325i	−0.369244	+	0.929333i	$0.620383\pi$
$509$	−30.8453	+	22.4104i	−1.36719	+	0.993325i	−0.997950	+	0.0639922i	$0.979617\pi$
$510$	−6.80200	−	4.94194i	−0.301198	−	0.218833i
$511$	3.08123	+	9.48306i	0.136306	+	0.419506i
$512$	4.40566	+	13.5592i	0.194704	+	0.599238i
$513$	5.44695	+	3.95744i	0.240489	+	0.174725i
$514$	−7.66864	+	5.57159i	−0.338249	+	0.245753i
$515$	15.6059	−	48.0301i	0.687679	−	2.11646i
$516$	−3.37380			−0.148523
$517$	35.9795	+	24.0316i	1.58238	+	1.05691i
$518$	−1.84055			−0.0808691
$519$	−3.93083	+	12.0978i	−0.172544	+	0.531036i
$520$	14.4141	−	10.4725i	0.632100	−	0.459248i
$521$	21.0684	+	15.3071i	0.923024	+	0.670616i	0.944275	−	0.329158i	$-0.106765\pi$
$521$	21.0684	+	15.3071i	0.923024	+	0.670616i	−0.0212509	+	0.999774i	$0.506765\pi$
$522$	−12.4073	−	38.1858i	−0.543054	−	1.67135i
$523$	5.90933	+	18.1870i	0.258397	+	0.795263i	0.993141	+	0.116920i	$0.0373020\pi$
$523$	5.90933	+	18.1870i	0.258397	+	0.795263i	−0.734745	+	0.678344i	$0.762698\pi$
$524$	6.47039	+	4.70101i	0.282660	+	0.205365i
$525$	1.35721	−	0.986070i	0.0592335	−	0.0430356i
$526$	−4.49324	+	13.8288i	−0.195915	+	0.602963i
$527$	0.552731			0.0240773
$528$	−2.76611	+	9.81447i	−0.120379	+	0.427120i
$529$	−3.90228			−0.169664
$530$	5.95001	−	18.3122i	0.258452	−	0.795433i
$531$	−18.1243	+	13.1681i	−0.786527	+	0.571445i
$532$	1.81890	+	1.32151i	0.0788593	+	0.0572947i
$533$	−12.7450	−	39.2252i	−0.552049	−	1.69903i
$534$	−5.19508	−	15.9888i	−0.224813	−	0.691903i
$535$	7.29714	+	5.30169i	0.315483	+	0.229212i
$536$	−6.54819	+	4.75754i	−0.282839	+	0.205494i
$537$	−0.709539	+	2.18374i	−0.0306189	+	0.0942352i
$538$	22.8298			0.984265
$539$	−2.60424	+	2.05376i	−0.112173	+	0.0884617i
$540$	11.1815			0.481176
$541$	3.36397	−	10.3532i	0.144628	−	0.445120i	−0.852335	−	0.522997i	$-0.824814\pi$
$541$	3.36397	−	10.3532i	0.144628	−	0.445120i	0.996963	+	0.0778764i	$0.0248139\pi$
$542$	31.7042	−	23.0345i	1.36181	−	0.989415i
$543$	−2.38591	−	1.73347i	−0.102389	−	0.0743902i
$544$	4.98485	+	15.3418i	0.213724	+	0.657774i
$545$	−10.8927	−	33.5243i	−0.466592	−	1.43602i
$546$	−3.81579	−	2.77234i	−0.163301	−	0.118645i
$547$	10.4436	−	7.58775i	0.446538	−	0.324429i	−0.341689	−	0.939813i	$-0.610999\pi$
$547$	10.4436	−	7.58775i	0.446538	−	0.324429i	0.788227	+	0.615384i	$0.210999\pi$
$548$	−0.935386	+	2.87882i	−0.0399577	+	0.122977i
$549$	2.58821			0.110462
$550$	−12.5650	+	9.90905i	−0.535775	+	0.422523i
$551$	16.7307			0.712751
$552$	−1.24697	+	3.83777i	−0.0530744	+	0.163346i
$553$	5.09153	−	3.69921i	0.216514	−	0.157307i
$554$	−34.6230	−	25.1551i	−1.47099	−	1.06874i
$555$	−0.549273	−	1.69049i	−0.0233153	−	0.0717572i
$556$	−0.358768	−	1.10418i	−0.0152152	−	0.0468275i
$557$	0.616977	+	0.448260i	0.0261422	+	0.0189934i	0.600780	−	0.799415i	$-0.294857\pi$
$557$	0.616977	+	0.448260i	0.0261422	+	0.0189934i	−0.574637	+	0.818408i	$0.694857\pi$
$558$	−0.755167	+	0.548661i	−0.0319688	+	0.0232267i
$559$	6.24664	−	19.2252i	0.264205	−	0.813139i
$560$	−13.8168			−0.583867
$561$	−1.53222	+	5.43651i	−0.0646906	+	0.229530i
$562$	27.4476			1.15781
$563$	−6.86886	+	21.1402i	−0.289488	+	0.890953i	0.695529	+	0.718498i	$0.255170\pi$
$563$	−6.86886	+	21.1402i	−0.289488	+	0.890953i	−0.985017	+	0.172455i	$0.944830\pi$
$564$	7.56283	−	5.49471i	0.318452	−	0.231369i
$565$	−41.4534	−	30.1176i	−1.74396	−	1.26706i
$566$	−1.84408	−	5.67551i	−0.0775127	−	0.238559i
$567$	−1.76393	−	5.42882i	−0.0740782	−	0.227989i
$568$	−2.43805	−	1.77135i	−0.102298	−	0.0743242i
$569$	16.5955	−	12.0573i	0.695719	−	0.505469i	−0.182816	−	0.983147i	$-0.558521\pi$
$569$	16.5955	−	12.0573i	0.695719	−	0.505469i	0.878535	+	0.477678i	$0.158521\pi$
$570$	−1.82832	+	5.62698i	−0.0765797	+	0.235688i
$571$	−19.5654			−0.818785			−0.409393	−	0.912358i	$-0.634259\pi$
$571$	−19.5654			−0.818785			−0.409393	+	0.912358i	$0.634259\pi$
$572$	13.7295	+	9.17028i	0.574059	+	0.383429i
$573$	−0.512448			−0.0214078
$574$	−5.27640	+	16.2391i	−0.220233	+	0.677807i
$575$	−9.59677	+	6.97246i	−0.400213	+	0.290772i
$576$	−0.966719	−	0.702362i	−0.0402800	−	0.0292651i
$577$	−6.04795	−	18.6137i	−0.251780	−	0.774898i	−0.994447	−	0.105237i	$-0.966440\pi$
$577$	−6.04795	−	18.6137i	−0.251780	−	0.774898i	0.742668	−	0.669660i	$-0.233560\pi$
$578$	−5.16696	−	15.9023i	−0.214917	−	0.661447i
$579$	3.36901	+	2.44773i	0.140011	+	0.101724i
$580$	22.4790	−	16.3319i	0.933388	−	0.678146i
$581$	0.531960	−	1.63720i	0.0220694	−	0.0679227i
$582$	12.7609			0.528958
$583$	−12.9252	+	0.510102i	−0.535306	+	0.0211263i
$584$	14.8974			0.616460
$585$	−9.64758	+	29.6922i	−0.398878	+	1.22762i
$586$	−9.83178	+	7.14321i	−0.406147	+	0.295083i
$587$	−1.27071	−	0.923224i	−0.0524477	−	0.0381055i	0.561253	−	0.827645i	$-0.310320\pi$
$587$	−1.27071	−	0.923224i	−0.0524477	−	0.0381055i	−0.613700	+	0.789539i	$0.710320\pi$
$588$	0.221435	+	0.681508i	0.00913184	+	0.0281049i
$589$	−0.120195	−	0.369922i	−0.00495254	−	0.0152424i
$590$	−34.1777	−	24.8316i	−1.40707	−	1.02230i
$591$	5.46078	−	3.96749i	0.224627	−	0.163201i
$592$	−1.59177	+	4.89896i	−0.0654213	+	0.201346i
$593$	−30.1230			−1.23700			−0.618502	−	0.785783i	$-0.712260\pi$
$593$	−30.1230			−1.23700			−0.618502	+	0.785783i	$0.712260\pi$
$594$	−7.08807	−	19.2027i	−0.290827	−	0.787896i
$595$	−7.65351			−0.313763
$596$	−5.33664	+	16.4245i	−0.218597	+	0.672773i
$597$	−10.4873	+	7.61946i	−0.429216	+	0.311844i
$598$	26.9813	+	19.6031i	1.10335	+	0.801629i
$599$	1.78547	+	5.49513i	0.0729525	+	0.224525i	0.980884	−	0.194594i	$-0.0623390\pi$
$599$	1.78547	+	5.49513i	0.0729525	+	0.224525i	−0.907931	+	0.419119i	$0.862339\pi$
$600$	−0.774534	−	2.38377i	−0.0316202	−	0.0973171i
$601$	−36.8625	−	26.7822i	−1.50365	−	1.09247i	−0.968898	−	0.247460i	$-0.920404\pi$
$601$	−36.8625	−	26.7822i	−1.50365	−	1.09247i	−0.534754	−	0.845008i	$-0.679596\pi$
$602$	−6.77047	+	4.91903i	−0.275944	+	0.200485i
$603$	4.38281	−	13.4889i	0.178482	−	0.549310i
$604$	18.3246			0.745619
$605$	26.0557	+	15.9544i	1.05932	+	0.648639i
$606$	3.74801			0.152252
$607$	10.7294	−	33.0217i	0.435493	−	1.34031i	−0.457088	−	0.889421i	$-0.651108\pi$
$607$	10.7294	−	33.0217i	0.435493	−	1.34031i	0.892581	−	0.450887i	$-0.148892\pi$
$608$	9.18369	−	6.67234i	0.372448	−	0.270599i
$609$	4.31404	+	3.13434i	0.174814	+	0.127010i
$610$	1.50822	+	4.64182i	0.0610660	+	0.187942i
$611$	17.3083	+	53.2693i	0.700217	+	2.15505i
$612$	−6.76697	−	4.91649i	−0.273539	−	0.198737i
$613$	19.5315	−	14.1905i	0.788870	−	0.573148i	−0.118758	−	0.992923i	$-0.537891\pi$
$613$	19.5315	−	14.1905i	0.788870	−	0.573148i	0.907628	+	0.419776i	$0.137891\pi$
$614$	−6.47979	+	19.9428i	−0.261503	+	0.804824i
$615$	−16.4897			−0.664931
$616$	1.71591	+	4.64867i	0.0691361	+	0.187300i
$617$	−13.4967			−0.543358			−0.271679	−	0.962388i	$-0.587579\pi$
$617$	−13.4967			−0.543358			−0.271679	+	0.962388i	$0.587579\pi$
$618$	−6.17243	+	18.9968i	−0.248291	+	0.764162i
$619$	35.1806	−	25.5602i	1.41403	−	1.02735i	0.421307	−	0.906918i	$-0.361572\pi$
$619$	35.1806	−	25.5602i	1.41403	−	1.02735i	0.992721	−	0.120433i	$-0.0384284\pi$
$620$	−0.522596	−	0.379688i	−0.0209879	−	0.0152486i
$621$	−4.68889	−	14.4309i	−0.188159	−	0.579093i
$622$	13.9042	+	42.7928i	0.557509	+	1.71584i
$623$	−12.3808	−	8.99519i	−0.496027	−	0.360385i
$624$	−10.6791	+	7.75883i	−0.427507	+	0.310602i
$625$	−9.64257	+	29.6768i	−0.385703	+	1.18707i
$626$	−34.9353			−1.39629
$627$	3.97164	−	0.156744i	0.158612	−	0.00625975i
$628$	5.32330			0.212423
$629$	−0.881726	+	2.71367i	−0.0351567	+	0.108201i
$630$	10.4566	−	7.59716i	0.416601	−	0.302678i
$631$	−5.19398	−	3.77365i	−0.206769	−	0.150227i	0.479581	−	0.877497i	$-0.340788\pi$
$631$	−5.19398	−	3.77365i	−0.206769	−	0.150227i	−0.686351	+	0.727271i	$0.740788\pi$
$632$	−2.90564	−	8.94265i	−0.115580	−	0.355719i
$633$	−1.15041	−	3.54059i	−0.0457246	−	0.140726i
$634$	−5.19204	−	3.77224i	−0.206202	−	0.149815i
$635$	43.8380	−	31.8502i	1.73966	−	1.26394i
$636$	−0.863624	+	2.65796i	−0.0342449	+	0.105395i
$637$	−4.29348			−0.170114
$638$	−42.2974	−	28.2515i	−1.67457	−	1.11849i
$639$	5.28070			0.208901
$640$	−9.35272	+	28.7847i	−0.369699	+	1.13782i
$641$	5.17447	−	3.75947i	0.204379	−	0.148490i	−0.480888	−	0.876782i	$-0.659686\pi$
$641$	5.17447	−	3.75947i	0.204379	−	0.148490i	0.685267	+	0.728292i	$0.259686\pi$
$642$	−2.88615	−	2.09691i	−0.113907	−	0.0827586i
$643$	0.201683	+	0.620716i	0.00795360	+	0.0244787i	0.954955	−	0.296752i	$-0.0959035\pi$
$643$	0.201683	+	0.620716i	0.00795360	+	0.0244787i	−0.947001	+	0.321231i	$0.895903\pi$
$644$	−1.56576	−	4.81891i	−0.0616996	−	0.189892i
$645$	−6.53848	−	4.75048i	−0.257452	−	0.187050i
$646$	7.68373	−	5.58255i	0.302312	−	0.219643i
$647$	5.55061	−	17.0830i	0.218217	−	0.671603i	−0.780693	−	0.624915i	$-0.785134\pi$
$647$	5.55061	−	17.0830i	0.218217	−	0.671603i	0.998910	−	0.0466874i	$-0.0148665\pi$
$648$	−8.52842			−0.335028
$649$	−7.69890	+	27.3166i	−0.302208	+	1.07227i
$650$	−20.7153			−0.812522
$651$	0.0383089	−	0.117903i	0.00150144	−	0.00462096i
$652$	−7.53943	+	5.47771i	−0.295267	+	0.214524i
$653$	13.6870	+	9.94419i	0.535614	+	0.389146i	0.822454	−	0.568832i	$-0.192605\pi$
$653$	13.6870	+	9.94419i	0.535614	+	0.389146i	−0.286840	+	0.957979i	$0.592605\pi$
$654$	4.30826	+	13.2595i	0.168466	+	0.518486i
$655$	5.92045	+	18.2213i	0.231331	+	0.711964i
$656$	38.6602	+	28.0882i	1.50943	+	1.09666i
$657$	−21.1191	+	15.3439i	−0.823934	+	0.598623i
$658$	7.16556	−	22.0533i	0.279343	−	0.859728i
$659$	23.6249			0.920297			0.460148	−	0.887842i	$-0.347796\pi$
$659$	23.6249			0.920297			0.460148	+	0.887842i	$0.347796\pi$
$660$	5.18319	−	4.08757i	0.201755	−	0.159109i
$661$	−20.9819			−0.816103			−0.408051	−	0.912959i	$-0.633792\pi$
$661$	−20.9819			−0.816103			−0.408051	+	0.912959i	$0.633792\pi$
$662$	−14.5741	+	44.8545i	−0.566439	+	1.74332i
$663$	−5.91546	+	4.29783i	−0.229737	+	0.166914i
$664$	−2.08077	−	1.51177i	−0.0807494	−	0.0586679i
$665$	1.66431	+	5.12221i	0.0645390	+	0.198631i
$666$	−1.48904	−	4.58278i	−0.0576990	−	0.177579i
$667$	−30.5044	−	22.1628i	−1.18114	−	0.858146i
$668$	12.5759	−	9.13691i	0.486575	−	0.353518i
$669$	−0.883311	+	2.71855i	−0.0341508	+	0.105105i
$670$	26.7456			1.03327
$671$	2.57458	−	2.03036i	0.0993904	−	0.0783813i
$672$	3.61803			0.139569
$673$	3.73868	−	11.5065i	0.144116	−	0.443542i	−0.852781	−	0.522269i	$-0.825086\pi$
$673$	3.73868	−	11.5065i	0.144116	−	0.443542i	0.996896	+	0.0787272i	$0.0250856\pi$
$674$	0.986448	−	0.716696i	0.0379965	−	0.0276061i
$675$	7.62485	+	5.53978i	0.293481	+	0.213226i
$676$	1.94692	+	5.99202i	0.0748817	+	0.230462i
$677$	−2.91399	−	8.96834i	−0.111994	−	0.344681i	0.879314	−	0.476242i	$-0.158001\pi$
$677$	−2.91399	−	8.96834i	−0.111994	−	0.344681i	−0.991308	+	0.131560i	$0.958001\pi$
$678$	16.3956	+	11.9121i	0.629668	+	0.457480i
$679$	9.39772	−	6.82784i	0.360651	−	0.262029i
$680$	−3.53356	+	10.8752i	−0.135506	+	0.417044i
$681$	10.6922			0.409726
$682$	−0.320783	+	1.13817i	−0.0122834	+	0.0435829i
$683$	−15.2986			−0.585385			−0.292692	−	0.956207i	$-0.594551\pi$
$683$	−15.2986			−0.585385			−0.292692	+	0.956207i	$0.594551\pi$
$684$	−1.81890	+	5.59800i	−0.0695474	+	0.214045i
$685$	−5.86632	+	4.26213i	−0.224141	+	0.162848i
$686$	1.43801	+	1.04478i	0.0549037	+	0.0398898i
$687$	−0.845314	−	2.60161i	−0.0322507	−	0.0992575i
$688$	7.23758	+	22.2750i	0.275930	+	0.849226i
$689$	−13.5470	−	9.84250i	−0.516101	−	0.374970i
$690$	10.7874	−	7.83753i	0.410671	−	0.298370i
$691$	7.05154	−	21.7024i	0.268253	−	0.825599i	−0.722673	−	0.691190i	$-0.757087\pi$
$691$	7.05154	−	21.7024i	0.268253	−	0.825599i	0.990926	−	0.134408i	$-0.0429134\pi$
$692$	−23.8639			−0.907169
$693$	−7.22053	−	4.82277i	−0.274285	−	0.183202i
$694$	38.2256			1.45102
$695$	0.859436	−	2.64507i	0.0326003	−	0.100333i
$696$	6.44546	−	4.68290i	0.244314	−	0.177505i
$697$	21.4149	+	15.5589i	0.811149	+	0.589334i
$698$	10.6794	+	32.8679i	0.404223	+	1.24407i
$699$	−2.01163	−	6.19117i	−0.0760869	−	0.234171i
$700$	2.54617	+	1.84990i	0.0962360	+	0.0699196i
$701$	26.1508	−	18.9997i	0.987702	−	0.717607i	0.0282853	−	0.999600i	$-0.490995\pi$
$701$	26.1508	−	18.9997i	0.987702	−	0.717607i	0.959417	+	0.281992i	$0.0909953\pi$
$702$	8.18830	−	25.2010i	0.309048	−	0.951151i
$703$	2.00789			0.0757292
$704$	−1.51261	+	0.0596962i	−0.0570085	+	0.00224989i
$705$	22.3937			0.843396
$706$	−11.4967	+	35.3831i	−0.432683	+	1.33166i
$707$	2.76020	−	2.00540i	0.103808	−	0.0754208i
$708$	4.96078	+	3.60422i	0.186438	+	0.135455i
$709$	4.49922	+	13.8472i	0.168972	+	0.520041i	0.999307	−	0.0372228i	$-0.0118511\pi$
$709$	4.49922	+	13.8472i	0.168972	+	0.520041i	−0.830335	+	0.557264i	$0.811851\pi$
$710$	3.07720	+	9.47066i	0.115485	+	0.355427i
$711$	13.3298	+	9.68466i	0.499906	+	0.363203i
$712$	−18.4977	+	13.4394i	−0.693232	+	0.503662i
$713$	−0.270880	+	0.833684i	−0.0101446	+	0.0312217i
$714$	3.02710			0.113287
$715$	13.6958	+	37.1040i	0.512193	+	1.38761i
$716$	−4.30759			−0.160982
$717$	−1.86332	+	5.73470i	−0.0695869	+	0.214166i
$718$	−14.0512	+	10.2088i	−0.524387	+	0.380990i
$719$	−36.2926	−	26.3682i	−1.35349	−	0.983366i	−0.998829	−	0.0483700i	$-0.984597\pi$
$719$	−36.2926	−	26.3682i	−1.35349	−	0.983366i	−0.354658	−	0.934996i	$-0.615403\pi$
$720$	−11.1780	−	34.4024i	−0.416581	−	1.28210i
$721$	5.61873	+	17.2927i	0.209252	+	0.644012i
$722$	21.9152	+	15.9223i	0.815600	+	0.592568i
$723$	−6.27504	+	4.55909i	−0.233371	+	0.169554i
$724$	1.70970	−	5.26191i	0.0635404	−	0.195557i
$725$	23.4202			0.869806
$726$	−10.3055	−	6.31026i	−0.382474	−	0.234196i
$727$	28.3582			1.05175			0.525874	−	0.850562i	$-0.323738\pi$
$727$	28.3582			1.05175			0.525874	+	0.850562i	$0.323738\pi$
$728$	−1.98226	+	6.10077i	−0.0734674	+	0.226110i
$729$	6.88197	−	5.00004i	0.254888	−	0.185187i
$730$	−39.8251	−	28.9346i	−1.47399	−	1.07092i
$731$	4.00910	+	12.3387i	0.148282	+	0.456365i
$732$	−0.218913	−	0.673744i	−0.00809125	−	0.0249023i
$733$	−5.06199	−	3.67775i	−0.186969	−	0.135841i	0.490364	−	0.871518i	$-0.336864\pi$
$733$	−5.06199	−	3.67775i	−0.186969	−	0.135841i	−0.677332	+	0.735677i	$0.736864\pi$
$734$	−14.2359	+	10.3430i	−0.525456	+	0.381766i
$735$	−0.530452	+	1.63256i	−0.0195660	+	0.0602180i
$736$	−25.5830			−0.943001
$737$	−6.22186	−	16.8560i	−0.229185	−	0.620898i
$738$	−44.7024			−1.64552
$739$	2.88993	−	8.89429i	0.106308	−	0.327182i	−0.883727	−	0.468002i	$-0.844974\pi$
$739$	2.88993	−	8.89429i	0.106308	−	0.327182i	0.990035	+	0.140820i	$0.0449740\pi$
$740$	2.69776	−	1.96004i	0.0991716	−	0.0720524i
$741$	4.16273	+	3.02440i	0.152922	+	0.111104i
$742$	2.14223	+	6.59310i	0.0786437	+	0.242040i
$743$	7.78926	+	23.9729i	0.285760	+	0.879480i	0.986170	+	0.165739i	$0.0530008\pi$
$743$	7.78926	+	23.9729i	0.285760	+	0.879480i	−0.700409	+	0.713741i	$0.746999\pi$
$744$	−0.149845	−	0.108869i	−0.00549360	−	0.00399134i
$745$	−33.4690	+	24.3167i	−1.22621	+	0.890893i
$746$	−2.34800	+	7.22641i	−0.0859665	+	0.264578i
$747$	4.50684			0.164897
$748$	−10.5881	+	0.417870i	−0.387141	+	0.0152788i
$749$	−3.24746			−0.118660
$750$	2.15501	−	6.63243i	0.0786897	−	0.242182i
$751$	28.1128	−	20.4251i	1.02585	−	0.745323i	0.0583755	−	0.998295i	$-0.481408\pi$
$751$	28.1128	−	20.4251i	1.02585	−	0.745323i	0.967474	+	0.252972i	$0.0814079\pi$
$752$	−52.5020	−	38.1449i	−1.91455	−	1.39100i
$753$	−2.09913	−	6.46046i	−0.0764966	−	0.235432i
$754$	−20.3475	−	62.6233i	−0.741014	−	2.28061i
$755$	35.5134	+	25.8020i	1.29247	+	0.939031i
$756$	−3.25692	+	2.36629i	−0.118453	+	0.0860610i
$757$	10.7526	−	33.0930i	0.390808	−	1.20278i	−0.541370	−	0.840784i	$-0.682094\pi$
$757$	10.7526	−	33.0930i	0.390808	−	1.20278i	0.932178	−	0.362000i	$-0.117906\pi$
$758$	7.68929			0.279288
$759$	−7.44898	−	4.97536i	−0.270381	−	0.180594i
$760$	8.04674			0.291886
$761$	−3.77787	+	11.6271i	−0.136948	+	0.421482i	−0.995888	−	0.0905941i	$-0.971123\pi$
$761$	−3.77787	+	11.6271i	−0.136948	+	0.421482i	0.858940	+	0.512076i	$0.171123\pi$
$762$	−17.3387	+	12.5973i	−0.628116	+	0.456353i
$763$	10.2674	+	7.45967i	0.371703	+	0.270058i
$764$	−0.297079	−	0.914315i	−0.0107479	−	0.0330788i
$765$	−6.19182	−	19.0565i	−0.223866	−	0.688988i
$766$	1.90120	+	1.38130i	0.0686931	+	0.0499085i
$767$	−29.7231	+	21.5951i	−1.07324	+	0.779755i
$768$	3.87351	−	11.9214i	0.139773	−	0.430178i
$769$	−2.61946			−0.0944603			−0.0472301	−	0.998884i	$-0.515039\pi$
$769$	−2.61946			−0.0944603			−0.0472301	+	0.998884i	$0.515039\pi$
$770$	4.44179	−	15.7600i	0.160071	−	0.567950i
$771$	3.29585			0.118697
$772$	−2.41417	+	7.43004i	−0.0868878	+	0.267413i
$773$	0.172162	−	0.125083i	0.00619225	−	0.00449894i	−0.584685	−	0.811261i	$-0.698782\pi$
$773$	0.172162	−	0.125083i	0.00619225	−	0.00449894i	0.590877	+	0.806762i	$0.298782\pi$
$774$	−17.7253	−	12.8782i	−0.637123	−	0.462897i
$775$	−0.168253	−	0.517831i	−0.00604384	−	0.0186010i
$776$	−5.36310	−	16.5059i	−0.192524	−	0.592529i
$777$	0.517740	+	0.376160i	0.0185738	+	0.0134947i
$778$	55.3767	−	40.2336i	1.98535	−	1.44244i
$779$	5.75614	−	17.7156i	0.206235	−	0.634727i
$780$	8.54526			0.305969
$781$	5.25288	−	4.14253i	0.187963	−	0.148231i
$782$	−21.4045			−0.765425
$783$	−9.25750	+	28.4917i	−0.330836	+	1.01821i
$784$	4.02452	−	2.92398i	0.143733	−	0.104428i
$785$	10.3166	+	7.49547i	0.368216	+	0.267525i
$786$	−2.34164	−	7.20684i	−0.0835237	−	0.257060i
$787$	9.00399	+	27.7114i	0.320958	+	0.987806i	0.973232	+	0.229823i	$0.0738148\pi$
$787$	9.00399	+	27.7114i	0.320958	+	0.987806i	−0.652275	+	0.757983i	$0.726185\pi$
$788$	10.2446	+	7.44313i	0.364948	+	0.265151i
$789$	4.09017	−	2.97168i	0.145614	−	0.105795i
$790$	−9.60131	+	29.5498i	−0.341599	+	1.05133i
$791$	18.4480			0.655937
$792$	−10.1865	+	8.03330i	−0.361962	+	0.285451i
$793$	4.24457			0.150729
$794$	−0.225262	+	0.693284i	−0.00799424	+	0.0246037i
$795$	−5.41626	+	3.93514i	−0.192095	+	0.139565i
$796$	−19.6745	−	14.2943i	−0.697343	−	0.506649i
$797$	9.95913	+	30.6510i	0.352770	+	1.08572i	0.957291	+	0.289126i	$0.0933647\pi$
$797$	9.95913	+	30.6510i	0.352770	+	1.08572i	−0.604521	+	0.796589i	$0.706635\pi$
$798$	−0.658263	−	2.02593i	−0.0233023	−	0.0717170i
$799$	−29.0823	−	21.1295i	−1.02886	−	0.747509i
$800$	12.8557	−	9.34019i	0.454517	−	0.330226i
$801$	12.3808	−	38.1042i	0.437455	−	1.34635i
$802$	−2.78503			−0.0983430
$803$	−8.97104	+	31.8303i	−0.316581	+	1.12327i
$804$	−3.88203			−0.136909
$805$	3.75081	−	11.5438i	0.132199	−	0.406865i
$806$	−1.23845	+	0.899783i	−0.0436224	+	0.0316935i
$807$	−6.42195	−	4.66582i	−0.226064	−	0.164245i
$808$	−1.57519	−	4.84794i	−0.0554151	−	0.170550i
$809$	−9.06844	−	27.9098i	−0.318829	−	0.981256i	−0.974149	−	0.225905i	$-0.927466\pi$
$809$	−9.06844	−	27.9098i	−0.318829	−	0.981256i	0.655320	−	0.755351i	$-0.272534\pi$
$810$	22.7989	+	16.5644i	0.801073	+	0.582013i
$811$	−0.840891	+	0.610943i	−0.0295277	+	0.0214531i	−0.602451	−	0.798156i	$-0.705809\pi$
$811$	−0.840891	+	0.610943i	−0.0295277	+	0.0214531i	0.572924	+	0.819609i	$0.305809\pi$
$812$	−3.09136	+	9.51422i	−0.108485	+	0.333884i
$813$	−13.6259			−0.477882
$814$	−5.07623	−	3.39054i	−0.177922	−	0.118838i
$815$	−22.3244			−0.781990
$816$	2.61794	−	8.05720i	0.0916463	−	0.282058i
$817$	7.38605	−	5.36628i	0.258405	−	0.187742i
$818$	9.74762	+	7.08206i	0.340817	+	0.247618i
$819$	−3.47350	−	10.6903i	−0.121374	−	0.373550i
$820$	−9.55952	−	29.4212i	−0.333833	−	1.02743i
$821$	−23.0831	−	16.7709i	−0.805607	−	0.585308i	0.106946	−	0.994265i	$-0.465893\pi$
$821$	−23.0831	−	16.7709i	−0.805607	−	0.585308i	−0.912554	+	0.408957i	$0.865893\pi$
$822$	2.32024	−	1.68575i	0.0809275	−	0.0587973i
$823$	8.23767	−	25.3529i	0.287147	−	0.883748i	−0.698600	−	0.715513i	$-0.746193\pi$
$823$	8.23767	−	25.3529i	0.287147	−	0.883748i	0.985747	−	0.168235i	$-0.0538068\pi$
$824$	27.1659			0.946370
$825$	5.55965	−	0.219416i	0.193562	−	0.00763909i
$826$	15.2102			0.529229
$827$	0.531399	−	1.63548i	0.0184785	−	0.0568711i	−0.941392	−	0.337314i	$-0.890481\pi$
$827$	0.531399	−	1.63548i	0.0184785	−	0.0568711i	0.959871	+	0.280443i	$0.0904815\pi$
$828$	10.7319	−	7.79717i	0.372959	−	0.270970i
$829$	−22.6205	−	16.4347i	−0.785642	−	0.570802i	0.121025	−	0.992649i	$-0.461382\pi$
$829$	−22.6205	−	16.4347i	−0.785642	−	0.570802i	−0.906667	+	0.421847i	$0.861382\pi$
$830$	2.62625	+	8.08277i	0.0911585	+	0.280557i
$831$	4.59829	+	14.1521i	0.159513	+	0.490930i
$832$	−1.58538	−	1.15185i	−0.0549632	−	0.0399331i
$833$	2.22929	−	1.61968i	0.0772404	−	0.0561184i
$834$	−0.339923	+	1.04617i	−0.0117706	+	0.0362261i
$835$	37.2375			1.28866
$836$	2.58212	+	6.99537i	0.0893046	+	0.241940i
$837$	0.696468			0.0240735
$838$	15.7761	−	48.5539i	0.544977	−	1.67727i
$839$	−29.0133	+	21.0794i	−1.00165	+	0.727742i	−0.962441	−	0.271489i	$-0.912484\pi$
$839$	−29.0133	+	21.0794i	−1.00165	+	0.727742i	−0.0392091	+	0.999231i	$0.512484\pi$
$840$	2.07487	+	1.50748i	0.0715898	+	0.0520130i
$841$	14.0429	+	43.2197i	0.484240	+	1.49034i
$842$	6.71518	+	20.6672i	0.231420	+	0.712239i
$843$	−7.72092	−	5.60957i	−0.265922	−	0.193204i
$844$	5.65023	−	4.10514i	0.194489	−	0.141305i
$845$	−4.66389	+	14.3540i	−0.160443	+	0.493792i
$846$	60.7076			2.08717
$847$	−10.9658	+	0.866898i	−0.376789	+	0.0297870i
$848$	19.4014			0.666248
$849$	−0.641191	+	1.97338i	−0.0220056	+	0.0677263i
$850$	10.7560	−	7.81467i	0.368927	−	0.268041i
$851$	−3.66092	−	2.65981i	−0.125495	−	0.0911772i
$852$	−0.446646	−	1.37463i	−0.0153018	−	0.0470942i
$853$	−4.67937	−	14.4016i	−0.160218	−	0.493102i	0.838434	−	0.545004i	$-0.183472\pi$
$853$	−4.67937	−	14.4016i	−0.160218	−	0.493102i	−0.998652	+	0.0519019i	$0.983472\pi$
$854$	−1.42163	−	1.03288i	−0.0486473	−	0.0353443i
$855$	−11.4073	+	8.28790i	−0.390122	+	0.283440i
$856$	−1.49932	+	4.61444i	−0.0512458	+	0.157718i
$857$	25.3267			0.865142			0.432571	−	0.901600i	$-0.357606\pi$
$857$	25.3267			0.865142			0.432571	+	0.901600i	$0.357606\pi$
$858$	−5.41693	−	14.6753i	−0.184931	−	0.501006i
$859$	41.5291			1.41696			0.708478	−	0.705733i	$-0.249382\pi$
$859$	41.5291			1.41696			0.708478	+	0.705733i	$0.249382\pi$
$860$	4.68534	−	14.4200i	0.159769	−	0.491718i
$861$	4.80308	−	3.48964i	0.163689	−	0.118927i
$862$	−5.30813	−	3.85658i	−0.180796	−	0.131356i
$863$	−7.43197	−	22.8733i	−0.252987	−	0.778615i	−0.994220	−	0.107366i	$-0.965758\pi$
$863$	−7.43197	−	22.8733i	−0.252987	−	0.778615i	0.741232	−	0.671249i	$-0.234242\pi$
$864$	6.28115	+	19.3314i	0.213689	+	0.657668i
$865$	−46.2486	−	33.6016i	−1.57250	−	1.14249i
$866$	−41.8101	+	30.3768i	−1.42077	+	1.03225i
$867$	−1.79656	+	5.52924i	−0.0610144	+	0.187783i
$868$	0.232572			0.00789399
$869$	20.8569	−	0.823133i	0.707521	−	0.0279229i
$870$	−26.3260			−0.892534
$871$	7.18764	−	22.1213i	0.243544	−	0.749551i
$872$	15.3401	−	11.1452i	0.519481	−	0.377425i
$873$	24.6035	+	17.8755i	0.832704	+	0.604995i
$874$	4.65455	+	14.3252i	0.157443	+	0.484559i
$875$	−1.96169	−	6.03746i	−0.0663173	−	0.204104i
$876$	5.78049	+	4.19977i	0.195304	+	0.141897i
$877$	−27.3490	+	19.8702i	−0.923509	+	0.670969i	−0.944395	−	0.328813i	$-0.893351\pi$
$877$	−27.3490	+	19.8702i	−0.923509	+	0.670969i	0.0208857	+	0.999782i	$0.493351\pi$
$878$	−7.80061	+	24.0078i	−0.263258	+	0.810225i
$879$	4.22553			0.142524
$880$	−38.1067	−	25.4524i	−1.28458	−	0.858001i
$881$	−36.8296			−1.24082			−0.620410	−	0.784278i	$-0.713034\pi$
$881$	−36.8296			−1.24082			−0.620410	+	0.784278i	$0.713034\pi$
$882$	−1.43801	+	4.42575i	−0.0484205	+	0.149023i
$883$	−43.2099	+	31.3938i	−1.45413	+	1.05649i	−0.469283	+	0.883048i	$0.655488\pi$
$883$	−43.2099	+	31.3938i	−1.45413	+	1.05649i	−0.984845	+	0.173438i	$0.944512\pi$
$884$	−11.0976	−	8.06286i	−0.373252	−	0.271183i
$885$	4.53915	+	13.9701i	0.152582	+	0.469599i
$886$	14.9598	+	46.0414i	0.502583	+	1.54679i
$887$	−9.27263	−	6.73696i	−0.311344	−	0.226205i	0.421129	−	0.907001i	$-0.361634\pi$
$887$	−9.27263	−	6.73696i	−0.311344	−	0.226205i	−0.732473	+	0.680796i	$0.761634\pi$
$888$	0.773537	−	0.562007i	0.0259582	−	0.0188597i
$889$	−6.02870	+	18.5544i	−0.202196	+	0.622296i
$890$	75.5525			2.53253
$891$	5.13571	−	18.2221i	0.172053	−	0.610463i
$892$	−5.36254			−0.179551
$893$	−7.81706	+	24.0584i	−0.261588	+	0.805085i
$894$	13.2376	−	9.61768i	0.442732	−	0.321663i
$895$	−8.34817	−	6.06530i	−0.279048	−	0.202741i
$896$	−3.36733	−	10.3636i	−0.112495	−	0.346223i
$897$	−3.58339	−	11.0286i	−0.119646	−	0.368233i
$898$	60.2757	+	43.7929i	2.01143	+	1.46139i
$899$	1.40016	−	1.01727i	0.0466979	−	0.0339280i
$900$	−2.54617	+	7.83629i	−0.0848722	+	0.261210i
$901$	10.7470			0.358034
$902$	−44.4669	+	35.0675i	−1.48059	+	1.16762i
$903$	2.90983			0.0968331
$904$	8.51730	−	26.2136i	0.283281	−	0.871850i
$905$	10.7224	−	7.79031i	0.356426	−	0.258959i
$906$	−14.0462	−	10.2052i	−0.466654	−	0.339044i
$907$	17.6319	+	54.2655i	0.585459	+	1.80186i	0.597419	+	0.801929i	$0.296193\pi$
$907$	17.6319	+	54.2655i	0.585459	+	1.80186i	−0.0119596	+	0.999928i	$0.503807\pi$
$908$	6.19853	+	19.0771i	0.205706	+	0.633097i
$909$	7.22628	+	5.25020i	0.239681	+	0.174138i
$910$	17.1484	−	12.4591i	0.568465	−	0.413014i
$911$	2.06289	−	6.34893i	0.0683467	−	0.210350i	−0.911050	−	0.412296i	$-0.864727\pi$
$911$	2.06289	−	6.34893i	0.0683467	−	0.210350i	0.979396	+	0.201947i	$0.0647268\pi$
$912$	−5.96167			−0.197410
$913$	4.48309	−	3.53546i	0.148369	−	0.117007i
$914$	34.6568			1.14635
$915$	0.524410	−	1.61397i	0.0173365	−	0.0533561i
$916$	4.15177	−	3.01643i	0.137178	−	0.0996658i
$917$	−5.58057	−	4.05452i	−0.184286	−	0.133892i
$918$	5.25526	+	16.1740i	0.173449	+	0.533822i
$919$	−9.00287	−	27.7080i	−0.296977	−	0.914002i	−0.982550	−	0.185998i	$-0.940448\pi$
$919$	−9.00287	−	27.7080i	−0.296977	−	0.914002i	0.685573	−	0.728004i	$-0.259552\pi$
$920$	−14.6713	−	10.6593i	−0.483699	−	0.351428i
$921$	5.89852	−	4.28553i	0.194363	−	0.141213i
$922$	6.71491	−	20.6664i	0.221144	−	0.680611i
$923$	8.66015			0.285052
$924$	−0.644711	+	2.28751i	−0.0212094	+	0.0752535i
$925$	2.81073			0.0924161
$926$	7.61015	−	23.4216i	0.250085	−	0.769683i
$927$	−38.5113	+	27.9801i	−1.26488	+	0.918987i
$928$	40.8632	+	29.6889i	1.34140	+	0.974585i
$929$	0.724557	+	2.22996i	0.0237720	+	0.0731626i	0.962239	−	0.272207i	$-0.0877536\pi$
$929$	0.724557	+	2.22996i	0.0237720	+	0.0731626i	−0.938467	+	0.345370i	$0.887754\pi$
$930$	0.189128	+	0.582077i	0.00620176	+	0.0190871i
$931$	−1.56876	−	1.13977i	−0.0514141	−	0.0373545i
$932$	9.88015	−	7.17835i	0.323635	−	0.235135i
$933$	4.83452	−	14.8791i	0.158275	−	0.487121i
$934$	−29.1876			−0.955047
$935$	−21.1084	−	14.0988i	−0.690317	−	0.461080i
$936$	−16.7940			−0.548928
$937$	2.71558	−	8.35769i	0.0887141	−	0.273034i	−0.896850	−	0.442334i	$-0.854151\pi$
$937$	2.71558	−	8.35769i	0.0887141	−	0.273034i	0.985565	+	0.169300i	$0.0541506\pi$
$938$	−7.79037	+	5.66003i	−0.254365	+	0.184807i
$939$	9.82717	+	7.13986i	0.320698	+	0.233000i
$940$	12.9822	+	39.9551i	0.423432	+	1.30319i
$941$	2.74676	+	8.45366i	0.0895419	+	0.275582i	0.985793	−	0.167966i	$-0.0537198\pi$
$941$	2.74676	+	8.45366i	0.0895419	+	0.275582i	−0.896251	+	0.443547i	$0.853720\pi$
$942$	−4.08042	−	2.96460i	−0.132947	−	0.0965918i
$943$	−33.9624	+	24.6751i	−1.10597	+	0.803533i
$944$	13.1543	−	40.4847i	0.428135	−	1.31766i
$945$	−9.64380			−0.313713
$946$	−27.7344	+	1.09456i	−0.901724	+	0.0355873i
$947$	−7.86275			−0.255505			−0.127752	−	0.991806i	$-0.540776\pi$
$947$	−7.86275			−0.255505			−0.127752	+	0.991806i	$0.540776\pi$
$948$	1.39360	−	4.28905i	0.0452620	−	0.139302i
$949$	−34.6345	+	25.1634i	−1.12428	+	0.816840i
$950$	−7.56902	−	5.49921i	−0.245571	−	0.178418i
$951$	0.689556	+	2.12223i	0.0223604	+	0.0688182i
$952$	−1.27222	−	3.91548i	−0.0412328	−	0.126901i
$953$	14.1290	+	10.2653i	0.457683	+	0.332526i	0.792622	−	0.609714i	$-0.208716\pi$
$953$	14.1290	+	10.2653i	0.457683	+	0.332526i	−0.334939	+	0.942240i	$0.608716\pi$
$954$	−14.6831	+	10.6679i	−0.475382	+	0.345385i
$955$	0.711658	−	2.19026i	0.0230287	−	0.0708751i
$956$	−11.3121			−0.365860
$957$	6.12425	+	16.5915i	0.197969	+	0.536328i
$958$	−44.0663			−1.42372
$959$	0.806750	−	2.48292i	0.0260513	−	0.0801777i
$960$	−0.633854	+	0.460522i	−0.0204575	+	0.0148633i
$961$	25.0470	+	18.1977i	0.807967	+	0.587022i
$962$	−2.44196	−	7.51559i	−0.0787320	−	0.242312i
$963$	−2.62725	−	8.08584i	−0.0846619	−	0.260563i
$964$	−11.7722	−	8.55298i	−0.379156	−	0.275473i
$965$	−15.1406	+	11.0003i	−0.487392	+	0.354111i
$966$	−1.48351	+	4.56578i	−0.0477312	+	0.146902i
$967$	−45.6122			−1.46679			−0.733395	−	0.679802i	$-0.762066\pi$
$967$	−45.6122			−1.46679			−0.733395	+	0.679802i	$0.762066\pi$
$968$	−3.83100	+	15.9820i	−0.123133	+	0.513680i
$969$	−3.30233			−0.106086
$970$	−17.7217	+	54.5417i	−0.569008	+	1.75123i
$971$	−1.92852	+	1.40115i	−0.0618892	+	0.0449651i	−0.618300	−	0.785942i	$-0.712178\pi$
$971$	−1.92852	+	1.40115i	−0.0618892	+	0.0449651i	0.556411	+	0.830908i	$0.312178\pi$
$972$	−13.0799	−	9.50313i	−0.419539	−	0.304813i
$973$	0.309430	+	0.952327i	0.00991986	+	0.0305302i
$974$	−7.87338	−	24.2318i	−0.252279	−	0.776436i
$975$	5.82715	+	4.23367i	0.186618	+	0.135586i
$976$	−3.97867	+	2.89067i	−0.127354	+	0.0925282i
$977$	−5.95358	+	18.3232i	−0.190472	+	0.586212i	−1.00000		0.000869450i	$-0.999723\pi$
$977$	−5.95358	+	18.3232i	−0.190472	+	0.586212i	0.809528	+	0.587082i	$0.199723\pi$
$978$	8.82972			0.282343
$979$	−17.5759	−	47.6158i	−0.561728	−	1.52181i
$980$	−3.22035			−0.102870
$981$	−10.2674	+	31.5997i	−0.327812	+	1.00890i
$982$	31.6641	−	23.0053i	1.01044	−	0.734130i
$983$	13.1268	+	9.53718i	0.418680	+	0.304189i	0.777107	−	0.629369i	$-0.216687\pi$
$983$	13.1268	+	9.53718i	0.418680	+	0.304189i	−0.358426	+	0.933558i	$0.616687\pi$
$984$	−2.74103	−	8.43602i	−0.0873808	−	0.268931i
$985$	9.37387	+	28.8498i	0.298676	+	0.919231i
$986$	34.1891	+	24.8398i	1.08880	+	0.791061i
$987$	−6.52277	+	4.73907i	−0.207622	+	0.150846i
$988$	−2.98293	+	9.18051i	−0.0948996	+	0.292071i
$989$	−20.5753			−0.654256
$990$	42.8342	−	1.69049i	1.36136	−	0.0537272i
$991$	−50.5214			−1.60487			−0.802433	−	0.596743i	$-0.796461\pi$
$991$	−50.5214			−1.60487			−0.802433	+	0.596743i	$0.796461\pi$
$992$	0.362867	−	1.11679i	0.0115210	−	0.0354581i
$993$	13.2667	−	9.63884i	0.421007	−	0.305879i
$994$	−2.90055	−	2.10737i	−0.0919997	−	0.0668417i
$995$	−18.0023	−	55.4053i	−0.570710	−	1.75647i
$996$	−0.381192	−	1.17319i	−0.0120785	−	0.0371739i
$997$	36.4224	+	26.4625i	1.15351	+	0.838074i	0.988944	−	0.148292i	$-0.0473774\pi$
$997$	36.4224	+	26.4625i	1.15351	+	0.838074i	0.164567	+	0.986366i	$0.447377\pi$
$998$	36.3986	−	26.4452i	1.15218	−	0.837107i
$999$	−1.11102	+	3.41936i	−0.0351510	+	0.108184i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	77.2.f.a.64.2	✓	8
3.2	odd	2		693.2.m.g.64.1		8
7.2	even	3		539.2.q.c.361.1		16
7.3	odd	6		539.2.q.b.471.2		16
7.4	even	3		539.2.q.c.471.2		16
7.5	odd	6		539.2.q.b.361.1		16
7.6	odd	2		539.2.f.d.295.2		8
11.2	odd	10		847.2.f.s.729.2		8
11.3	even	5		847.2.f.p.323.1		8
11.4	even	5		847.2.a.l.1.3		4
11.5	even	5	inner	77.2.f.a.71.2	yes	8
11.6	odd	10		847.2.f.q.148.1		8
11.7	odd	10		847.2.a.k.1.2		4
11.8	odd	10		847.2.f.s.323.2		8
11.9	even	5		847.2.f.p.729.1		8
11.10	odd	2		847.2.f.q.372.1		8
33.5	odd	10		693.2.m.g.379.1		8
33.26	odd	10		7623.2.a.ch.1.2		4
33.29	even	10		7623.2.a.co.1.3		4
77.5	odd	30		539.2.q.b.214.2		16
77.16	even	15		539.2.q.c.214.2		16
77.27	odd	10		539.2.f.d.148.2		8
77.38	odd	30		539.2.q.b.324.1		16
77.48	odd	10		5929.2.a.bi.1.3		4
77.60	even	15		539.2.q.c.324.1		16
77.62	even	10		5929.2.a.bb.1.2		4

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
77.2.f.a.64.2	✓	8	1.1	even	1	trivial
77.2.f.a.71.2	yes	8	11.5	even	5	inner
539.2.f.d.148.2		8	77.27	odd	10
539.2.f.d.295.2		8	7.6	odd	2
539.2.q.b.214.2		16	77.5	odd	30
539.2.q.b.324.1		16	77.38	odd	30
539.2.q.b.361.1		16	7.5	odd	6
539.2.q.b.471.2		16	7.3	odd	6
539.2.q.c.214.2		16	77.16	even	15
539.2.q.c.324.1		16	77.60	even	15
539.2.q.c.361.1		16	7.2	even	3
539.2.q.c.471.2		16	7.4	even	3
693.2.m.g.64.1		8	3.2	odd	2
693.2.m.g.379.1		8	33.5	odd	10
847.2.a.k.1.2		4	11.7	odd	10
847.2.a.l.1.3		4	11.4	even	5
847.2.f.p.323.1		8	11.3	even	5
847.2.f.p.729.1		8	11.9	even	5
847.2.f.q.148.1		8	11.6	odd	10
847.2.f.q.372.1		8	11.10	odd	2
847.2.f.s.323.2		8	11.8	odd	10
847.2.f.s.729.2		8	11.2	odd	10
5929.2.a.bb.1.2		4	77.62	even	10
5929.2.a.bi.1.3		4	77.48	odd	10
7623.2.a.ch.1.2		4	33.26	odd	10
7623.2.a.co.1.3		4	33.29	even	10

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 77 = 7 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	77.f (of order \(5\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.549273 - 1.69049i) q^{2} +(-0.500000 + 0.363271i) q^{3} +(-0.938015 - 0.681508i) q^{4} +(-0.858290 - 2.64154i) q^{5} +(0.339469 + 1.04478i) q^{6} +(0.809017 + 0.587785i) q^{7} +(1.20872 - 0.878189i) q^{8} +(-0.809017 + 2.48990i) q^{9} +O(q^{10})\)	\(q+(0.549273 - 1.69049i) q^{2} +(-0.500000 + 0.363271i) q^{3} +(-0.938015 - 0.681508i) q^{4} +(-0.858290 - 2.64154i) q^{5} +(0.339469 + 1.04478i) q^{6} +(0.809017 + 0.587785i) q^{7} +(1.20872 - 0.878189i) q^{8} +(-0.809017 + 2.48990i) q^{9} -4.93693 q^{10} +(1.14849 + 3.11143i) q^{11} +0.716580 q^{12} +(-1.32676 + 4.08334i) q^{13} +(1.43801 - 1.04478i) q^{14} +(1.38874 + 1.00898i) q^{15} +(-1.53723 - 4.73110i) q^{16} +(-0.851514 - 2.62069i) q^{17} +(3.76477 + 2.73527i) q^{18} +(-1.56876 + 1.13977i) q^{19} +(-0.995144 + 3.06274i) q^{20} -0.618034 q^{21} +(5.89066 - 0.232480i) q^{22} +4.37009 q^{23} +(-0.285341 + 0.878189i) q^{24} +(-2.19601 + 1.59550i) q^{25} +(6.17408 + 4.48573i) q^{26} +(-1.07295 - 3.30220i) q^{27} +(-0.358290 - 1.10270i) q^{28} +(-6.98027 - 5.07146i) q^{29} +(2.46847 - 1.79345i) q^{30} +(-0.0619850 + 0.190770i) q^{31} -5.85410 q^{32} +(-1.70454 - 1.13850i) q^{33} -4.89796 q^{34} +(0.858290 - 2.64154i) q^{35} +(2.45576 - 1.78421i) q^{36} +(-0.837721 - 0.608640i) q^{37} +(1.06509 + 3.27802i) q^{38} +(-0.819981 - 2.52364i) q^{39} +(-3.35721 - 2.43916i) q^{40} +(-7.77155 + 5.64636i) q^{41} +(-0.339469 + 1.04478i) q^{42} -4.70820 q^{43} +(1.04316 - 3.70127i) q^{44} +7.27155 q^{45} +(2.40037 - 7.38759i) q^{46} +(10.5541 - 7.66797i) q^{47} +(2.48729 + 1.80712i) q^{48} +(0.309017 + 0.951057i) q^{49} +(1.49096 + 4.58869i) q^{50} +(1.37778 + 1.00101i) q^{51} +(4.02734 - 2.92604i) q^{52} +(-1.20520 + 3.70923i) q^{53} -6.17167 q^{54} +(7.23324 - 5.70428i) q^{55} +1.49406 q^{56} +(0.370334 - 1.13977i) q^{57} +(-12.4073 + 9.01445i) q^{58} +(6.92286 + 5.02975i) q^{59} +(-0.615033 - 1.89288i) q^{60} +(-0.305497 - 0.940223i) q^{61} +(0.288448 + 0.209570i) q^{62} +(-2.11803 + 1.53884i) q^{63} +(-0.141042 + 0.434084i) q^{64} +11.9251 q^{65} +(-2.86088 + 2.25615i) q^{66} -5.41745 q^{67} +(-0.987288 + 3.03856i) q^{68} +(-2.18505 + 1.58753i) q^{69} +(-3.99406 - 2.90186i) q^{70} +(-0.623302 - 1.91833i) q^{71} +(1.20872 + 3.72007i) q^{72} +(8.06677 + 5.86085i) q^{73} +(-1.48904 + 1.08185i) q^{74} +(0.518408 - 1.59550i) q^{75} +2.24828 q^{76} +(-0.899706 + 3.19226i) q^{77} -4.71658 q^{78} +(1.94479 - 5.98545i) q^{79} +(-11.1780 + 8.12131i) q^{80} +(-4.61803 - 3.35520i) q^{81} +(5.27640 + 16.2391i) q^{82} +(-0.531960 - 1.63720i) q^{83} +(0.579725 + 0.421195i) q^{84} +(-6.19182 + 4.49862i) q^{85} +(-2.58609 + 7.95916i) q^{86} +5.33245 q^{87} +(4.12062 + 2.75227i) q^{88} -15.3035 q^{89} +(3.99406 - 12.2925i) q^{90} +(-3.47350 + 2.52364i) q^{91} +(-4.09921 - 2.97825i) q^{92} +(-0.0383089 - 0.117903i) q^{93} +(-7.16556 - 22.0533i) q^{94} +(4.35721 + 3.16570i) q^{95} +(2.92705 - 2.12663i) q^{96} +(3.58961 - 11.0477i) q^{97} +1.77748 q^{98} +(-8.67628 + 0.342417i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 8 q - q^{2} - 4 q^{3} + 3 q^{4} + 3 q^{5} + 3 q^{6} + 2 q^{7} + 3 q^{8} - 2 q^{9}+O(q^{10}) \) 8 * q - q^2 - 4 * q^3 + 3 * q^4 + 3 * q^5 + 3 * q^6 + 2 * q^7 + 3 * q^8 - 2 * q^9	\( 8 q - q^{2} - 4 q^{3} + 3 q^{4} + 3 q^{5} + 3 q^{6} + 2 q^{7} + 3 q^{8} - 2 q^{9} - 28 q^{10} + 5 q^{11} - 14 q^{12} + 5 q^{13} + q^{14} + 6 q^{15} - 3 q^{16} - 11 q^{17} + 4 q^{18} - 9 q^{19} + 21 q^{20} + 4 q^{21} - q^{22} - 16 q^{23} + 21 q^{24} + 5 q^{25} + 21 q^{26} - 22 q^{27} + 7 q^{28} - 9 q^{29} + 14 q^{30} - 11 q^{31} - 20 q^{32} + 10 q^{33} - 24 q^{34} - 3 q^{35} - 2 q^{36} + 6 q^{37} + 35 q^{38} - 5 q^{39} - 16 q^{40} - 22 q^{41} - 3 q^{42} + 16 q^{43} + 29 q^{44} + 18 q^{45} + 29 q^{46} + 7 q^{47} + 4 q^{48} - 2 q^{49} - 34 q^{50} + 3 q^{51} + 21 q^{52} + 2 q^{53} + 4 q^{54} + 26 q^{55} - 18 q^{56} - 3 q^{57} - 39 q^{58} + 25 q^{59} - 38 q^{60} + 7 q^{61} - 5 q^{62} - 8 q^{63} + q^{64} + 24 q^{65} + 18 q^{66} - 30 q^{67} + 8 q^{68} + 8 q^{69} - 2 q^{70} - 14 q^{71} + 3 q^{72} + 3 q^{73} - 9 q^{74} + 5 q^{75} - 52 q^{76} - 5 q^{77} - 18 q^{78} - 9 q^{79} - 33 q^{80} - 28 q^{81} + 31 q^{82} + 23 q^{83} + 4 q^{84} - 10 q^{85} - 17 q^{86} + 12 q^{87} - 7 q^{88} - 34 q^{89} + 2 q^{90} + 5 q^{91} - 34 q^{92} + 8 q^{93} - 30 q^{94} + 24 q^{95} + 10 q^{96} + 30 q^{97} + 4 q^{98}+O(q^{100}) \) 8 * q - q^2 - 4 * q^3 + 3 * q^4 + 3 * q^5 + 3 * q^6 + 2 * q^7 + 3 * q^8 - 2 * q^9 - 28 * q^10 + 5 * q^11 - 14 * q^12 + 5 * q^13 + q^14 + 6 * q^15 - 3 * q^16 - 11 * q^17 + 4 * q^18 - 9 * q^19 + 21 * q^20 + 4 * q^21 - q^22 - 16 * q^23 + 21 * q^24 + 5 * q^25 + 21 * q^26 - 22 * q^27 + 7 * q^28 - 9 * q^29 + 14 * q^30 - 11 * q^31 - 20 * q^32 + 10 * q^33 - 24 * q^34 - 3 * q^35 - 2 * q^36 + 6 * q^37 + 35 * q^38 - 5 * q^39 - 16 * q^40 - 22 * q^41 - 3 * q^42 + 16 * q^43 + 29 * q^44 + 18 * q^45 + 29 * q^46 + 7 * q^47 + 4 * q^48 - 2 * q^49 - 34 * q^50 + 3 * q^51 + 21 * q^52 + 2 * q^53 + 4 * q^54 + 26 * q^55 - 18 * q^56 - 3 * q^57 - 39 * q^58 + 25 * q^59 - 38 * q^60 + 7 * q^61 - 5 * q^62 - 8 * q^63 + q^64 + 24 * q^65 + 18 * q^66 - 30 * q^67 + 8 * q^68 + 8 * q^69 - 2 * q^70 - 14 * q^71 + 3 * q^72 + 3 * q^73 - 9 * q^74 + 5 * q^75 - 52 * q^76 - 5 * q^77 - 18 * q^78 - 9 * q^79 - 33 * q^80 - 28 * q^81 + 31 * q^82 + 23 * q^83 + 4 * q^84 - 10 * q^85 - 17 * q^86 + 12 * q^87 - 7 * q^88 - 34 * q^89 + 2 * q^90 + 5 * q^91 - 34 * q^92 + 8 * q^93 - 30 * q^94 + 24 * q^95 + 10 * q^96 + 30 * q^97 + 4 * q^98

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