LMFDB - Embedded newform 43.2.e.b.11.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [43,2,Mod(4,43)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(43, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([4]))

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

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

chi := DirichletCharacter("43.4");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 43 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	43.e (of order $7$, degree $6$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$0.343356728692$
Analytic rank:	$0$
Dimension:	$6$
Coefficient field:	$\Q(\zeta_{14})$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 $ x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
Coefficient ring:	$\Z[a_1, a_2]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			11.1
Root			$0.222521 + 0.974928i$ of defining polynomial
Character	$\chi$	$=$	43.11
Dual form			43.2.e.b.4.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.500000 + 0.626980i) q^{2} +(-2.02446 + 2.53859i) q^{3} +(0.301938 - 1.32288i) q^{4} +(1.80194 - 0.867767i) q^{5} -2.60388 q^{6} -1.19806 q^{7} +(2.42543 - 1.16802i) q^{8} +(-1.67845 - 7.35376i) q^{9} +O(q^{10})$	\(q+(0.500000 + 0.626980i) q^{2} +(-2.02446 + 2.53859i) q^{3} +(0.301938 - 1.32288i) q^{4} +(1.80194 - 0.867767i) q^{5} -2.60388 q^{6} -1.19806 q^{7} +(2.42543 - 1.16802i) q^{8} +(-1.67845 - 7.35376i) q^{9} +(1.44504 + 0.695895i) q^{10} +(0.0745725 + 0.326723i) q^{11} +(2.74698 + 3.44460i) q^{12} +(-4.54892 + 2.19064i) q^{13} +(-0.599031 - 0.751161i) q^{14} +(-1.44504 + 6.33114i) q^{15} +(-0.500000 - 0.240787i) q^{16} +(1.44504 + 0.695895i) q^{17} +(3.77144 - 4.72923i) q^{18} +(-0.211636 + 0.927237i) q^{19} +(-0.603875 - 2.64575i) q^{20} +(2.42543 - 3.04139i) q^{21} +(-0.167563 + 0.210117i) q^{22} +(-0.791053 - 3.46583i) q^{23} +(-1.94504 + 8.52179i) q^{24} +(-0.623490 + 0.781831i) q^{25} +(-3.64795 - 1.75676i) q^{26} +(13.2899 + 6.40006i) q^{27} +(-0.361740 + 1.58489i) q^{28} +(3.02446 + 3.79255i) q^{29} +(-4.69202 + 2.25956i) q^{30} +(-2.83244 - 3.55176i) q^{31} +(-1.29709 - 5.68294i) q^{32} +(-0.980386 - 0.472129i) q^{33} +(0.286208 + 1.25396i) q^{34} +(-2.15883 + 1.03964i) q^{35} -10.2349 q^{36} +4.52111 q^{37} +(-0.687177 + 0.330927i) q^{38} +(3.64795 - 15.9827i) q^{39} +(3.35690 - 4.20941i) q^{40} +(3.60992 + 4.52669i) q^{41} +3.11960 q^{42} +(-2.57457 + 6.03089i) q^{43} +0.454731 q^{44} +(-9.40581 - 11.7945i) q^{45} +(1.77748 - 2.22889i) q^{46} +(0.222521 - 0.974928i) q^{47} +(1.62349 - 0.781831i) q^{48} -5.56465 q^{49} -0.801938 q^{50} +(-4.69202 + 2.25956i) q^{51} +(1.52446 + 6.67909i) q^{52} +(-2.40097 - 1.15625i) q^{53} +(2.63222 + 11.5325i) q^{54} +(0.417895 + 0.524023i) q^{55} +(-2.90581 + 1.39937i) q^{56} +(-1.92543 - 2.41441i) q^{57} +(-0.865625 + 3.79255i) q^{58} +(11.1773 + 5.38268i) q^{59} +(7.93900 + 3.82322i) q^{60} +(2.88740 - 3.62068i) q^{61} +(0.810667 - 3.55176i) q^{62} +(2.01089 + 8.81026i) q^{63} +(2.22252 - 2.78695i) q^{64} +(-6.29590 + 7.89481i) q^{65} +(-0.194177 - 0.850747i) q^{66} +(1.48039 - 6.48599i) q^{67} +(1.35690 - 1.70149i) q^{68} +(10.3998 + 5.00827i) q^{69} +(-1.73125 - 0.833726i) q^{70} +(0.149145 - 0.653447i) q^{71} +(-12.6603 - 15.8755i) q^{72} +(5.02446 - 2.41965i) q^{73} +(2.26055 + 2.83464i) q^{74} +(-0.722521 - 3.16557i) q^{75} +(1.16272 + 0.559936i) q^{76} +(-0.0893425 - 0.391435i) q^{77} +(11.8448 - 5.70416i) q^{78} +4.38404 q^{79} -1.10992 q^{80} +(-22.7642 + 10.9627i) q^{81} +(-1.03319 + 4.52669i) q^{82} +(-3.79440 + 4.75803i) q^{83} +(-3.29105 - 4.12685i) q^{84} +3.20775 q^{85} +(-5.06853 + 1.40124i) q^{86} -15.7506 q^{87} +(0.562491 + 0.705341i) q^{88} +(-8.71797 + 10.9320i) q^{89} +(2.69202 - 11.7945i) q^{90} +(5.44989 - 2.62453i) q^{91} -4.82371 q^{92} +14.7506 q^{93} +(0.722521 - 0.347948i) q^{94} +(0.423272 + 1.85447i) q^{95} +(17.0526 + 8.21208i) q^{96} +(-3.38189 - 14.8170i) q^{97} +(-2.78232 - 3.48892i) q^{98} +(2.27748 - 1.09678i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 6 q + 3 q^{2} - 3 q^{3} - 7 q^{4} + 2 q^{5} + 2 q^{6} - 16 q^{7} + q^{8} - 6 q^{9}+O(q^{10}) $ 6 * q + 3 * q^2 - 3 * q^3 - 7 * q^4 + 2 * q^5 + 2 * q^6 - 16 * q^7 + q^8 - 6 * q^9	\( 6 q + 3 q^{2} - 3 q^{3} - 7 q^{4} + 2 q^{5} + 2 q^{6} - 16 q^{7} + q^{8} - 6 q^{9} + 8 q^{10} + 14 q^{11} + 7 q^{12} - 9 q^{13} - 8 q^{14} - 8 q^{15} - 3 q^{16} + 8 q^{17} + 4 q^{18} - 4 q^{19} + 14 q^{20} + q^{21} + q^{23} - 11 q^{24} + q^{25} - 8 q^{26} + 33 q^{27} + 28 q^{28} + 9 q^{29} - 18 q^{30} - 18 q^{31} - 21 q^{32} + 7 q^{33} + 18 q^{34} + 4 q^{35} - 14 q^{36} - 4 q^{37} - 16 q^{38} + 8 q^{39} + 12 q^{40} + 23 q^{41} - 24 q^{42} - 29 q^{43} - 42 q^{44} - 30 q^{45} + 11 q^{46} + q^{47} + 5 q^{48} + 10 q^{49} + 4 q^{50} - 18 q^{51} - 10 q^{53} + 27 q^{54} + 14 q^{55} + 9 q^{56} + 2 q^{57} - 13 q^{58} + 22 q^{59} + 28 q^{60} + 19 q^{61} + 12 q^{62} + 9 q^{63} + 13 q^{64} - 10 q^{65} + 28 q^{66} - 4 q^{67} + 17 q^{69} - 26 q^{70} + 28 q^{71} - 15 q^{72} + 21 q^{73} - 2 q^{74} - 4 q^{75} + 28 q^{76} - 49 q^{77} + 25 q^{78} + 6 q^{79} - 8 q^{80} - 58 q^{81} - 13 q^{82} - 39 q^{83} - 14 q^{84} - 16 q^{85} - 25 q^{86} - 22 q^{87} - 21 q^{88} + 11 q^{89} + 6 q^{90} + 10 q^{91} - 14 q^{92} + 16 q^{93} + 4 q^{94} + 8 q^{95} + 21 q^{96} - 19 q^{97} + 5 q^{98} + 14 q^{99}+O(q^{100}) \) 6 * q + 3 * q^2 - 3 * q^3 - 7 * q^4 + 2 * q^5 + 2 * q^6 - 16 * q^7 + q^8 - 6 * q^9 + 8 * q^10 + 14 * q^11 + 7 * q^12 - 9 * q^13 - 8 * q^14 - 8 * q^15 - 3 * q^16 + 8 * q^17 + 4 * q^18 - 4 * q^19 + 14 * q^20 + q^21 + q^23 - 11 * q^24 + q^25 - 8 * q^26 + 33 * q^27 + 28 * q^28 + 9 * q^29 - 18 * q^30 - 18 * q^31 - 21 * q^32 + 7 * q^33 + 18 * q^34 + 4 * q^35 - 14 * q^36 - 4 * q^37 - 16 * q^38 + 8 * q^39 + 12 * q^40 + 23 * q^41 - 24 * q^42 - 29 * q^43 - 42 * q^44 - 30 * q^45 + 11 * q^46 + q^47 + 5 * q^48 + 10 * q^49 + 4 * q^50 - 18 * q^51 - 10 * q^53 + 27 * q^54 + 14 * q^55 + 9 * q^56 + 2 * q^57 - 13 * q^58 + 22 * q^59 + 28 * q^60 + 19 * q^61 + 12 * q^62 + 9 * q^63 + 13 * q^64 - 10 * q^65 + 28 * q^66 - 4 * q^67 + 17 * q^69 - 26 * q^70 + 28 * q^71 - 15 * q^72 + 21 * q^73 - 2 * q^74 - 4 * q^75 + 28 * q^76 - 49 * q^77 + 25 * q^78 + 6 * q^79 - 8 * q^80 - 58 * q^81 - 13 * q^82 - 39 * q^83 - 14 * q^84 - 16 * q^85 - 25 * q^86 - 22 * q^87 - 21 * q^88 + 11 * q^89 + 6 * q^90 + 10 * q^91 - 14 * q^92 + 16 * q^93 + 4 * q^94 + 8 * q^95 + 21 * q^96 - 19 * q^97 + 5 * q^98 + 14 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/43\mathbb{Z}\right)^\times$.

$n$	$3$
$\chi(n)$	$e\left(\frac{5}{7}\right)$

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 $

$2$	0.500000	+	0.626980i	0.353553	+	0.443342i	0.926525	−	0.376233i	$-0.122781\pi$
$2$	0.500000	+	0.626980i	0.353553	+	0.443342i	−0.572972	+	0.819575i	$0.694209\pi$
$3$	−2.02446	+	2.53859i	−1.16882	+	1.46566i	−0.311971	+	0.950092i	$0.600989\pi$
$3$	−2.02446	+	2.53859i	−1.16882	+	1.46566i	−0.856851	+	0.515564i	$0.827582\pi$
$4$	0.301938	−	1.32288i	0.150969	−	0.661438i
$5$	1.80194	−	0.867767i	0.805851	−	0.388077i	0.0148481	−	0.999890i	$-0.495274\pi$
$5$	1.80194	−	0.867767i	0.805851	−	0.388077i	0.791003	+	0.611812i	$0.209559\pi$
$6$	−2.60388			−1.06303
$7$	−1.19806			−0.452825			−0.226412	−	0.974032i	$-0.572700\pi$
$7$	−1.19806			−0.452825			−0.226412	+	0.974032i	$0.572700\pi$
$8$	2.42543	−	1.16802i	0.857518	−	0.412959i
$9$	−1.67845	−	7.35376i	−0.559483	−	2.45125i
$10$	1.44504	+	0.695895i	0.456962	+	0.220061i
$11$	0.0745725	+	0.326723i	0.0224844	+	0.0985108i	0.984925	−	0.172981i	$-0.0553400\pi$
$11$	0.0745725	+	0.326723i	0.0224844	+	0.0985108i	−0.962441	+	0.271492i	$0.912483\pi$
$12$	2.74698	+	3.44460i	0.792985	+	0.994371i
$13$	−4.54892	+	2.19064i	−1.26164	+	0.607575i	−0.940609	−	0.339493i	$-0.889745\pi$
$13$	−4.54892	+	2.19064i	−1.26164	+	0.607575i	−0.321034	+	0.947068i	$0.604030\pi$
$14$	−0.599031	−	0.751161i	−0.160098	−	0.200756i
$15$	−1.44504	+	6.33114i	−0.373108	+	1.63469i
$16$	−0.500000	−	0.240787i	−0.125000	−	0.0601968i
$17$	1.44504	+	0.695895i	0.350474	+	0.168779i	0.600835	−	0.799373i	$-0.294835\pi$
$17$	1.44504	+	0.695895i	0.350474	+	0.168779i	−0.250361	+	0.968153i	$0.580549\pi$
$18$	3.77144	−	4.72923i	0.888937	−	1.11469i
$19$	−0.211636	+	0.927237i	−0.0485526	+	0.212723i	−0.993385	−	0.114831i	$-0.963367\pi$
$19$	−0.211636	+	0.927237i	−0.0485526	+	0.212723i	0.944832	+	0.327554i	$0.106224\pi$
$20$	−0.603875	−	2.64575i	−0.135031	−	0.591608i
$21$	2.42543	−	3.04139i	0.529272	−	0.663686i
$22$	−0.167563	+	0.210117i	−0.0357245	+	0.0447971i
$23$	−0.791053	−	3.46583i	−0.164946	−	0.722675i	−0.987967	−	0.154664i	$-0.950570\pi$
$23$	−0.791053	−	3.46583i	−0.164946	−	0.722675i	0.823021	−	0.568011i	$-0.192287\pi$
$24$	−1.94504	+	8.52179i	−0.397030	+	1.73950i
$25$	−0.623490	+	0.781831i	−0.124698	+	0.156366i
$26$	−3.64795	−	1.75676i	−0.715422	−	0.344529i
$27$	13.2899	+	6.40006i	2.55763	+	1.23169i
$28$	−0.361740	+	1.58489i	−0.0683625	+	0.299516i
$29$	3.02446	+	3.79255i	0.561628	+	0.704259i	0.978858	−	0.204542i	$-0.0655705\pi$
$29$	3.02446	+	3.79255i	0.561628	+	0.704259i	−0.417230	+	0.908801i	$0.636999\pi$
$30$	−4.69202	+	2.25956i	−0.856642	+	0.412537i
$31$	−2.83244	−	3.55176i	−0.508721	−	0.637916i	0.459451	−	0.888203i	$-0.348046\pi$
$31$	−2.83244	−	3.55176i	−0.508721	−	0.637916i	−0.968172	+	0.250288i	$0.919475\pi$
$32$	−1.29709	−	5.68294i	−0.229296	−	1.00461i
$33$	−0.980386	−	0.472129i	−0.170663	−	0.0821871i
$34$	0.286208	+	1.25396i	0.0490843	+	0.215052i
$35$	−2.15883	+	1.03964i	−0.364909	+	0.175731i
$36$	−10.2349			−1.70582
$37$	4.52111			0.743265			0.371633	−	0.928380i	$-0.378798\pi$
$37$	4.52111			0.743265			0.371633	+	0.928380i	$0.378798\pi$
$38$	−0.687177	+	0.330927i	−0.111475	+	0.0536835i
$39$	3.64795	−	15.9827i	0.584139	−	2.55928i
$40$	3.35690	−	4.20941i	0.530772	−	0.665567i
$41$	3.60992	+	4.52669i	0.563774	+	0.706950i	0.979251	−	0.202654i	$-0.0649565\pi$
$41$	3.60992	+	4.52669i	0.563774	+	0.706950i	−0.415476	+	0.909604i	$0.636385\pi$
$42$	3.11960			0.481365
$43$	−2.57457	+	6.03089i	−0.392619	+	0.919701i
$43$	−2.57457	+	6.03089i	−0.392619	+	0.919701i
$44$	0.454731			0.0685532
$45$	−9.40581	−	11.7945i	−1.40214	−	1.75822i
$46$	1.77748	−	2.22889i	0.262075	−	0.328632i
$47$	0.222521	−	0.974928i	0.0324580	−	0.142208i	−0.956103	−	0.293032i	$-0.905336\pi$
$47$	0.222521	−	0.974928i	0.0324580	−	0.142208i	0.988561	+	0.150824i	$0.0481928\pi$
$48$	1.62349	−	0.781831i	0.234331	−	0.112848i
$49$	−5.56465			−0.794950
$50$	−0.801938			−0.113411
$51$	−4.69202	+	2.25956i	−0.657014	+	0.316401i
$52$	1.52446	+	6.67909i	0.211404	+	0.926223i
$53$	−2.40097	−	1.15625i	−0.329798	−	0.158823i	0.261656	−	0.965161i	$-0.415732\pi$
$53$	−2.40097	−	1.15625i	−0.329798	−	0.158823i	−0.591454	+	0.806339i	$0.701446\pi$
$54$	2.63222	+	11.5325i	0.358200	+	1.56938i
$55$	0.417895	+	0.524023i	0.0563489	+	0.0706593i
$56$	−2.90581	+	1.39937i	−0.388306	+	0.186998i
$57$	−1.92543	−	2.41441i	−0.255029	−	0.319796i
$58$	−0.865625	+	3.79255i	−0.113662	+	0.497986i
$59$	11.1773	+	5.38268i	1.45515	+	0.700765i	0.983482	−	0.181008i	$-0.0579361\pi$
$59$	11.1773	+	5.38268i	1.45515	+	0.700765i	0.471673	+	0.881774i	$0.343650\pi$
$60$	7.93900	+	3.82322i	1.02492	+	0.493576i
$61$	2.88740	−	3.62068i	0.369693	−	0.463580i	−0.561835	−	0.827249i	$-0.689905\pi$
$61$	2.88740	−	3.62068i	0.369693	−	0.463580i	0.931528	+	0.363669i	$0.118476\pi$
$62$	0.810667	−	3.55176i	0.102955	−	0.451074i
$63$	2.01089	+	8.81026i	0.253348	+	1.10999i
$64$	2.22252	−	2.78695i	0.277815	−	0.348369i
$65$	−6.29590	+	7.89481i	−0.780910	+	0.979230i
$66$	−0.194177	−	0.850747i	−0.0239016	−	0.104720i
$67$	1.48039	−	6.48599i	0.180858	−	0.792390i	−0.800365	−	0.599513i	$-0.795361\pi$
$67$	1.48039	−	6.48599i	0.180858	−	0.792390i	0.981223	−	0.192877i	$-0.0617819\pi$
$68$	1.35690	−	1.70149i	0.164548	−	0.206336i
$69$	10.3998	+	5.00827i	1.25199	+	0.602924i
$70$	−1.73125	−	0.833726i	−0.206924	−	0.0996493i
$71$	0.149145	−	0.653447i	0.0177002	−	0.0775498i	−0.965306	−	0.261120i	$-0.915908\pi$
$71$	0.149145	−	0.653447i	0.0177002	−	0.0775498i	0.983007	+	0.183570i	$0.0587654\pi$
$72$	−12.6603	−	15.8755i	−1.49203	−	1.87095i
$73$	5.02446	−	2.41965i	0.588068	−	0.283199i	−0.116093	−	0.993238i	$-0.537037\pi$
$73$	5.02446	−	2.41965i	0.588068	−	0.283199i	0.704162	+	0.710039i	$0.251323\pi$
$74$	2.26055	+	2.83464i	0.262784	+	0.329521i
$75$	−0.722521	−	3.16557i	−0.0834295	−	0.365529i
$76$	1.16272	+	0.559936i	0.133373	+	0.0642290i
$77$	−0.0893425	−	0.391435i	−0.0101815	−	0.0446081i
$78$	11.8448	−	5.70416i	1.34116	−	0.645869i
$79$	4.38404			0.493243			0.246622	−	0.969112i	$-0.420679\pi$
$79$	4.38404			0.493243			0.246622	+	0.969112i	$0.420679\pi$
$80$	−1.10992			−0.124092
$81$	−22.7642	+	10.9627i	−2.52936	+	1.21807i
$82$	−1.03319	+	4.52669i	−0.114097	+	0.499889i
$83$	−3.79440	+	4.75803i	−0.416490	+	0.522262i	−0.945179	−	0.326554i	$-0.894113\pi$
$83$	−3.79440	+	4.75803i	−0.416490	+	0.522262i	0.528689	+	0.848816i	$0.322684\pi$
$84$	−3.29105	−	4.12685i	−0.359083	−	0.450276i
$85$	3.20775			0.347929
$86$	−5.06853	+	1.40124i	−0.546554	+	0.151099i
$87$	−15.7506			−1.68864
$88$	0.562491	+	0.705341i	0.0599617	+	0.0751896i
$89$	−8.71797	+	10.9320i	−0.924103	+	1.15879i	0.0628890	+	0.998021i	$0.479969\pi$
$89$	−8.71797	+	10.9320i	−0.924103	+	1.15879i	−0.986992	+	0.160768i	$0.948603\pi$
$90$	2.69202	−	11.7945i	0.283764	−	1.24325i
$91$	5.44989	−	2.62453i	0.571303	−	0.275125i
$92$	−4.82371			−0.502906
$93$	14.7506			1.52957
$94$	0.722521	−	0.347948i	0.0745223	−	0.0358881i
$95$	0.423272	+	1.85447i	0.0434268	+	0.190265i
$96$	17.0526	+	8.21208i	1.74042	+	0.838142i
$97$	−3.38189	−	14.8170i	−0.343379	−	1.50444i	−0.791891	−	0.610663i	$-0.790903\pi$
$97$	−3.38189	−	14.8170i	−0.343379	−	1.50444i	0.448512	−	0.893777i	$-0.351954\pi$
$98$	−2.78232	−	3.48892i	−0.281057	−	0.352434i
$99$	2.27748	−	1.09678i	0.228895	−	0.110230i
$100$	0.846011	+	1.06086i	0.0846011	+	0.106086i
$101$	3.55765	−	15.5871i	0.353999	−	1.55097i	−0.413853	−	0.910344i	$-0.635817\pi$
$101$	3.55765	−	15.5871i	0.353999	−	1.55097i	0.767852	−	0.640627i	$-0.221326\pi$
$102$	−3.76271	−	1.81203i	−0.372564	−	0.179417i
$103$	−13.5918	−	6.54546i	−1.33924	−	0.644944i	−0.379332	−	0.925261i	$-0.623846\pi$
$103$	−13.5918	−	6.54546i	−1.33924	−	0.644944i	−0.959907	+	0.280317i	$0.909560\pi$
$104$	−8.47434	+	10.6265i	−0.830978	+	1.04201i
$105$	1.73125	−	7.58510i	0.168953	−	0.740230i
$106$	−0.475541	−	2.08348i	−0.0461887	−	0.202366i
$107$	2.29105	−	2.87289i	0.221484	−	0.277733i	−0.658658	−	0.752442i	$-0.728876\pi$
$107$	2.29105	−	2.87289i	0.221484	−	0.277733i	0.880142	+	0.474710i	$0.157447\pi$
$108$	12.4792	−	15.6484i	1.20081	−	1.50577i
$109$	1.25182	+	5.48460i	0.119903	+	0.525329i	0.998829	+	0.0483719i	$0.0154033\pi$
$109$	1.25182	+	5.48460i	0.119903	+	0.525329i	−0.878926	+	0.476957i	$0.841740\pi$
$110$	−0.119605	+	0.524023i	−0.0114039	+	0.0499637i
$111$	−9.15279	+	11.4772i	−0.868745	+	1.08937i
$112$	0.599031	+	0.288478i	0.0566031	+	0.0272586i
$113$	2.26659	+	1.09153i	0.213223	+	0.102683i	0.537447	−	0.843298i	$-0.319389\pi$
$113$	2.26659	+	1.09153i	0.213223	+	0.102683i	−0.324224	+	0.945980i	$0.605103\pi$
$114$	0.551073	−	2.41441i	0.0516127	−	0.226130i
$115$	−4.43296	−	5.55876i	−0.413376	−	0.518357i
$116$	5.93027	−	2.85587i	0.550612	−	0.265161i
$117$	23.7446	+	29.7748i	2.19519	+	2.75268i
$118$	2.21379	+	9.69926i	0.203796	+	0.892889i
$119$	−1.73125	−	0.833726i	−0.158703	−	0.0764275i
$120$	3.89008	+	17.0436i	0.355114	+	1.55586i
$121$	9.80947	−	4.72399i	0.891770	−	0.429454i
$122$	3.71379			0.336231
$123$	−18.7995			−1.69510
$124$	−5.55376	+	2.67455i	−0.498743	+	0.240182i
$125$	−2.67025	+	11.6991i	−0.238835	+	1.04640i
$126$	−4.51842	+	5.66592i	−0.402533	+	0.504760i
$127$	2.91454	+	3.65472i	0.258624	+	0.324304i	0.894143	−	0.447781i	$-0.147785\pi$
$127$	2.91454	+	3.65472i	0.258624	+	0.324304i	−0.635520	+	0.772085i	$0.719214\pi$
$128$	−8.79954			−0.777777
$129$	−10.0978	−	18.7451i	−0.889065	−	1.65041i
$130$	−8.09783			−0.710227
$131$	−2.74094	−	3.43703i	−0.239477	−	0.300295i	0.647540	−	0.762031i	$-0.275798\pi$
$131$	−2.74094	−	3.43703i	−0.239477	−	0.300295i	−0.887017	+	0.461737i	$0.847226\pi$
$132$	−0.920583	+	1.15437i	−0.0801265	+	0.100475i
$133$	0.253553	−	1.11089i	0.0219858	−	0.0963262i
$134$	4.80678	−	2.31482i	0.415243	−	0.199970i
$135$	29.5013			2.53906
$136$	4.31767			0.370237
$137$	−5.06853	+	2.44088i	−0.433034	+	0.208538i	−0.637686	−	0.770297i	$-0.720108\pi$
$137$	−5.06853	+	2.44088i	−0.433034	+	0.208538i	0.204652	+	0.978835i	$0.434394\pi$
$138$	2.05980	+	9.02458i	0.175342	+	0.768224i
$139$	−14.9046	−	7.17769i	−1.26419	−	0.608803i	−0.322913	−	0.946429i	$-0.604662\pi$
$139$	−14.9046	−	7.17769i	−1.26419	−	0.608803i	−0.941281	+	0.337625i	$0.890376\pi$
$140$	0.723480	+	3.16977i	0.0611453	+	0.267895i
$141$	2.02446	+	2.53859i	0.170490	+	0.213788i
$142$	0.484271	−	0.233212i	0.0406391	−	0.0195707i
$143$	−1.05496	−	1.32288i	−0.0882200	−	0.110624i
$144$	−0.931468	+	4.08103i	−0.0776224	+	0.340086i
$145$	8.74094	+	4.20941i	0.725895	+	0.349573i
$146$	4.02930	+	1.94041i	0.333467	+	0.160589i
$147$	11.2654	−	14.1264i	0.929154	−	1.16512i
$148$	1.36509	−	5.98086i	0.112210	−	0.491624i
$149$	−2.00484	−	8.78380i	−0.164243	−	0.719597i	−0.988228	−	0.152985i	$-0.951111\pi$
$149$	−2.00484	−	8.78380i	−0.164243	−	0.719597i	0.823985	−	0.566611i	$-0.191746\pi$
$150$	1.62349	−	2.03579i	0.132557	−	0.166222i
$151$	−1.80194	+	2.25956i	−0.146640	+	0.183880i	−0.849727	−	0.527224i	$-0.823233\pi$
$151$	−1.80194	+	2.25956i	−0.146640	+	0.183880i	0.703087	+	0.711104i	$0.251804\pi$
$152$	0.569728	+	2.49614i	0.0462111	+	0.202464i
$153$	2.69202	−	11.7945i	0.217637	−	0.953530i
$154$	0.200751	−	0.251733i	0.0161769	−	0.0202853i
$155$	−8.18598	−	3.94216i	−0.657514	−	0.316642i
$156$	−20.0417	−	9.65156i	−1.60462	−	0.772744i
$157$	−5.14310	+	22.5334i	−0.410464	+	1.79836i	0.171541	+	0.985177i	$0.445125\pi$
$157$	−5.14310	+	22.5334i	−0.410464	+	1.79836i	−0.582005	+	0.813185i	$0.697732\pi$
$158$	2.19202	+	2.74871i	0.174388	+	0.218675i
$159$	7.79590	−	3.75431i	0.618255	−	0.297736i
$160$	−7.26875	−	9.11472i	−0.574645	−	0.720582i
$161$	0.947730	+	4.15228i	0.0746916	+	0.327245i
$162$	−18.2555	−	8.79137i	−1.43429	−	0.690715i
$163$	2.79494	+	12.2454i	0.218916	+	0.959135i	0.958280	+	0.285830i	$0.0922691\pi$
$163$	2.79494	+	12.2454i	0.218916	+	0.959135i	−0.739364	+	0.673306i	$0.764874\pi$
$164$	7.07822	−	3.40869i	0.552716	−	0.266174i
$165$	−2.17629			−0.169424
$166$	−4.88040			−0.378792
$167$	20.0613	−	9.66101i	1.55239	−	0.747591i	0.555895	−	0.831252i	$-0.312376\pi$
$167$	20.0613	−	9.66101i	1.55239	−	0.747591i	0.996494	+	0.0836609i	$0.0266613\pi$
$168$	2.33028	−	10.2096i	0.179785	−	0.787690i
$169$	7.78836	−	9.76630i	0.599105	−	0.751254i
$170$	1.60388	+	2.01120i	0.123012	+	0.154252i
$171$	7.17390			0.548602
$172$	7.20075	+	5.22679i	0.549052	+	0.398539i
$173$	2.18598			0.166197			0.0830985	−	0.996541i	$-0.473518\pi$
$173$	2.18598			0.166197			0.0830985	+	0.996541i	$0.473518\pi$
$174$	−7.87531	−	9.87533i	−0.597026	−	0.748647i
$175$	0.746980	−	0.936683i	0.0564664	−	0.0708066i
$176$	0.0413846	−	0.181318i	0.00311948	−	0.0136673i
$177$	−36.2923	+	17.4775i	−2.72790	+	1.31369i
$178$	−11.2131			−0.840459
$179$	10.2174			0.763687			0.381844	−	0.924227i	$-0.375289\pi$
$179$	10.2174			0.763687			0.381844	+	0.924227i	$0.375289\pi$
$180$	−18.4426	+	8.88151i	−1.37463	+	0.661989i
$181$	2.95473	+	12.9455i	0.219623	+	0.962233i	0.957757	+	0.287578i	$0.0928502\pi$
$181$	2.95473	+	12.9455i	0.219623	+	0.962233i	−0.738134	+	0.674654i	$0.764293\pi$
$182$	4.37047	+	2.10471i	0.323961	+	0.156011i
$183$	3.34601	+	14.6598i	0.247344	+	1.08369i
$184$	−5.96681	−	7.48215i	−0.439879	−	0.551591i
$185$	8.14675	−	3.92327i	0.598961	−	0.288444i
$186$	7.37531	+	9.24835i	0.540784	+	0.678122i
$187$	−0.119605	+	0.524023i	−0.00874638	+	0.0383204i
$188$	−1.22252	−	0.588735i	−0.0891615	−	0.0429379i
$189$	−15.9221	−	7.66767i	−1.15816	−	0.557741i
$190$	−0.951083	+	1.19262i	−0.0689988	+	0.0865217i
$191$	4.76928	−	20.8956i	0.345093	−	1.51195i	−0.443071	−	0.896487i	$-0.646111\pi$
$191$	4.76928	−	20.8956i	0.345093	−	1.51195i	0.788164	−	0.615465i	$-0.211032\pi$
$192$	2.57553	+	11.2841i	0.185873	+	0.814363i
$193$	−5.45257	+	6.83731i	−0.392485	+	0.492161i	−0.938337	−	0.345721i	$-0.887634\pi$
$193$	−5.45257	+	6.83731i	−0.392485	+	0.492161i	0.545853	+	0.837881i	$0.316206\pi$
$194$	7.59903	−	9.52888i	0.545579	−	0.684134i
$195$	−7.29590	−	31.9654i	−0.522470	−	2.28909i
$196$	−1.68018	+	7.36134i	−0.120013	+	0.525810i
$197$	11.5571	−	14.4922i	0.823410	−	1.03252i	−0.175435	−	0.984491i	$-0.556133\pi$
$197$	11.5571	−	14.4922i	0.823410	−	1.03252i	0.998846	−	0.0480329i	$-0.0152952\pi$
$198$	1.82640	+	0.879546i	0.129796	+	0.0625066i
$199$	3.08211	+	1.48426i	0.218485	+	0.105217i	0.539925	−	0.841713i	$-0.318453\pi$
$199$	3.08211	+	1.48426i	0.218485	+	0.105217i	−0.321440	+	0.946930i	$0.604167\pi$
$200$	−0.599031	+	2.62453i	−0.0423579	+	0.185582i
$201$	13.4683	+	16.8887i	0.949981	+	1.19124i
$202$	11.5516	−	5.56296i	0.812768	−	0.391409i
$203$	−3.62349	−	4.54371i	−0.254319	−	0.318906i
$204$	1.57242	+	6.88921i	0.110091	+	0.482341i
$205$	10.4330	+	5.02425i	0.728670	+	0.350909i
$206$	−2.69202	−	11.7945i	−0.187562	−	0.821763i
$207$	−24.1591	+	11.6344i	−1.67918	+	0.808648i
$208$	2.80194			0.194279
$209$	−0.318732			−0.0220472
$210$	5.62133	−	2.70709i	0.387909	−	0.186807i
$211$	−1.98158	+	8.68188i	−0.136418	+	0.597685i	0.859788	+	0.510652i	$0.170596\pi$
$211$	−1.98158	+	8.68188i	−0.136418	+	0.597685i	−0.996205	+	0.0870334i	$0.972261\pi$
$212$	−2.25451	+	2.82707i	−0.154841	+	0.194164i
$213$	1.35690	+	1.70149i	0.0929730	+	0.116584i
$214$	2.94677			0.201437
$215$	0.594187	+	13.1014i	0.0405232	+	0.893509i
$216$	39.7090			2.70186
$217$	3.39344	+	4.25523i	0.230361	+	0.288864i
$218$	−2.81282	+	3.52717i	−0.190508	+	0.238890i
$219$	−4.02930	+	17.6535i	−0.272275	+	1.19292i
$220$	0.819396	−	0.394600i	0.0552437	−	0.0266040i
$221$	−8.09783			−0.544719
$222$	−11.7724			−0.790112
$223$	4.40581	−	2.12173i	0.295035	−	0.142081i	−0.280511	−	0.959851i	$-0.590504\pi$
$223$	4.40581	−	2.12173i	0.295035	−	0.142081i	0.575546	+	0.817769i	$0.304790\pi$
$224$	1.55400	+	6.80851i	0.103831	+	0.454913i
$225$	6.79590	+	3.27273i	0.453060	+	0.218182i
$226$	0.448927	+	1.96688i	0.0298622	+	0.130835i
$227$	−2.58964	−	3.24730i	−0.171880	−	0.215531i	0.688429	−	0.725304i	$-0.258301\pi$
$227$	−2.58964	−	3.24730i	−0.171880	−	0.215531i	−0.860309	+	0.509773i	$0.829729\pi$
$228$	−3.77532	+	1.81810i	−0.250027	+	0.120407i
$229$	−12.1881	−	15.2834i	−0.805415	−	1.00996i	−0.999580	−	0.0289892i	$-0.990771\pi$
$229$	−12.1881	−	15.2834i	−0.805415	−	1.00996i	0.194165	−	0.980969i	$-0.437800\pi$
$230$	1.26875	−	5.55876i	0.0836589	−	0.366534i
$231$	1.17456	+	0.565640i	0.0772806	+	0.0372164i
$232$	11.7654	+	5.66592i	0.772436	+	0.371986i
$233$	−4.83728	+	6.06576i	−0.316901	+	0.397381i	−0.914613	−	0.404329i	$-0.867505\pi$
$233$	−4.83728	+	6.06576i	−0.316901	+	0.397381i	0.597713	+	0.801710i	$0.296076\pi$
$234$	−6.79590	+	29.7748i	−0.444262	+	1.94644i
$235$	−0.445042	−	1.94986i	−0.0290313	−	0.127195i
$236$	10.4955	−	13.1609i	0.683196	−	0.856700i
$237$	−8.87531	+	11.1293i	−0.576514	+	0.722925i
$238$	−0.342895	−	1.50232i	−0.0222266	−	0.0973811i
$239$	−3.48254	+	15.2580i	−0.225267	+	0.986959i	0.728177	+	0.685389i	$0.240368\pi$
$239$	−3.48254	+	15.2580i	−0.225267	+	0.986959i	−0.953444	+	0.301570i	$0.902489\pi$
$240$	2.24698	−	2.81762i	0.145042	−	0.181877i
$241$	8.63975	+	4.16069i	0.556535	+	0.268013i	0.690939	−	0.722913i	$-0.257197\pi$
$241$	8.63975	+	4.16069i	0.556535	+	0.268013i	−0.134403	+	0.990927i	$0.542912\pi$
$242$	7.86658	+	3.78835i	0.505683	+	0.243524i
$243$	8.40850	−	36.8401i	0.539406	−	2.36329i
$244$	−3.91789	−	4.91288i	−0.250818	−	0.314515i
$245$	−10.0271	+	4.82882i	−0.640611	+	0.308502i
$246$	−9.39977	−	11.7869i	−0.599308	−	0.751508i
$247$	−1.06853	−	4.68154i	−0.0679890	−	0.297879i
$248$	−11.0184	−	5.30619i	−0.699670	−	0.336943i
$249$	−4.39708	−	19.2649i	−0.278654	−	1.22086i
$250$	−8.67025	+	4.17537i	−0.548355	+	0.264074i
$251$	−13.1317			−0.828865			−0.414432	−	0.910080i	$-0.636020\pi$
$251$	−13.1317			−0.828865			−0.414432	+	0.910080i	$0.636020\pi$
$252$	12.2620			0.772436
$253$	1.07338	−	0.516911i	0.0674826	−	0.0324979i
$254$	−0.834166	+	3.65472i	−0.0523402	+	0.229318i
$255$	−6.49396	+	8.14317i	−0.406668	+	0.509945i
$256$	−8.84481	−	11.0910i	−0.552801	−	0.693190i
$257$	−17.8213			−1.11166			−0.555832	−	0.831295i	$-0.687600\pi$
$257$	−17.8213			−1.11166			−0.555832	+	0.831295i	$0.687600\pi$
$258$	6.70387	−	15.7037i	0.417364	−	0.977668i
$259$	−5.41657			−0.336569
$260$	8.54288	+	10.7124i	0.529807	+	0.664357i
$261$	22.8131	−	28.6067i	1.41210	−	1.77071i
$262$	0.784479	−	3.43703i	0.0484653	−	0.212340i
$263$	28.7848	−	13.8620i	1.77495	−	0.854769i	0.812654	−	0.582746i	$-0.198022\pi$
$263$	28.7848	−	13.8620i	1.77495	−	0.854769i	0.962291	−	0.272023i	$-0.0876926\pi$
$264$	−2.92931			−0.180287
$265$	−5.32975			−0.327404
$266$	0.823281	−	0.396471i	0.0504786	−	0.0243092i
$267$	−10.1027	−	44.2627i	−0.618274	−	2.70884i
$268$	−8.13318	−	3.91673i	−0.496813	−	0.239253i
$269$	0.189866	+	0.831855i	0.0115763	+	0.0507191i	0.980386	−	0.197086i	$-0.0631478\pi$
$269$	0.189866	+	0.831855i	0.0115763	+	0.0507191i	−0.968810	+	0.247805i	$0.920291\pi$
$270$	14.7506	+	18.4967i	0.897695	+	1.12567i
$271$	−2.05280	+	0.988577i	−0.124699	+	0.0600518i	−0.495193	−	0.868783i	$-0.664903\pi$
$271$	−2.05280	+	0.988577i	−0.124699	+	0.0600518i	0.370494	+	0.928835i	$0.379188\pi$
$272$	−0.554958	−	0.695895i	−0.0336493	−	0.0421949i
$273$	−4.37047	+	19.1483i	−0.264513	+	1.15891i
$274$	−4.06465	−	1.95743i	−0.245554	−	0.118253i
$275$	−0.301938	−	0.145406i	−0.0182075	−	0.00876828i
$276$	9.76540	−	12.2454i	0.587808	−	0.737088i
$277$	−0.773831	+	3.39038i	−0.0464950	+	0.203708i	−0.992840	−	0.119449i	$-0.961887\pi$
$277$	−0.773831	+	3.39038i	−0.0464950	+	0.203708i	0.946345	+	0.323157i	$0.104744\pi$
$278$	−2.95204	−	12.9337i	−0.177052	−	0.775714i
$279$	−21.3647	+	26.7905i	−1.27907	+	1.60391i
$280$	−4.02177	+	5.04314i	−0.240347	+	0.301385i
$281$	4.02811	+	17.6483i	0.240297	+	1.05281i	0.940747	+	0.339108i	$0.110125\pi$
$281$	4.02811	+	17.6483i	0.240297	+	1.05281i	−0.700451	+	0.713701i	$0.747018\pi$
$282$	−0.579417	+	2.53859i	−0.0345038	+	0.151171i
$283$	−14.8802	+	18.6591i	−0.884534	+	1.10917i	0.108819	+	0.994062i	$0.465293\pi$
$283$	−14.8802	+	18.6591i	−0.884534	+	1.10917i	−0.993353	+	0.115108i	$0.963278\pi$
$284$	−0.819396	−	0.394600i	−0.0486222	−	0.0234152i
$285$	−5.56465	−	2.67979i	−0.329621	−	0.158737i
$286$	0.301938	−	1.32288i	0.0178540	−	0.0782233i
$287$	−4.32490	−	5.42326i	−0.255291	−	0.320125i
$288$	−39.6139	+	19.0770i	−2.33427	+	1.12412i
$289$	−8.99545	−	11.2799i	−0.529144	−	0.663526i
$290$	1.73125	+	7.58510i	0.101663	+	0.445413i
$291$	44.4608	+	21.4112i	2.60634	+	1.25515i
$292$	−1.68382	−	7.37732i	−0.0985384	−	0.431725i
$293$	−24.7787	+	11.9328i	−1.44759	+	0.697122i	−0.982175	−	0.187971i	$-0.939809\pi$
$293$	−24.7787	+	11.9328i	−1.44759	+	0.697122i	−0.465414	+	0.885093i	$0.654095\pi$
$294$	14.4896			0.845053
$295$	24.8116			1.44459
$296$	10.9656	−	5.28076i	0.637363	−	0.306938i
$297$	−1.09999	+	4.81937i	−0.0638279	+	0.279648i
$298$	4.50484	−	5.64890i	0.260959	−	0.327232i
$299$	11.1908	+	14.0329i	0.647182	+	0.811541i
$300$	−4.40581			−0.254370
$301$	3.08450	−	7.22538i	0.177788	−	0.416464i
$302$	−2.31767			−0.133367
$303$	32.3669	+	40.5868i	1.85943	+	2.33165i
$304$	0.329085	−	0.412659i	0.0188743	−	0.0236676i
$305$	2.06100	−	9.02983i	0.118012	−	0.517046i
$306$	8.74094	−	4.20941i	0.499686	−	0.240636i
$307$	−20.2838			−1.15766			−0.578829	−	0.815449i	$-0.696490\pi$
$307$	−20.2838			−1.15766			−0.578829	+	0.815449i	$0.696490\pi$
$308$	−0.544796			−0.0310426
$309$	44.1323	−	21.2530i	2.51060	−	1.20904i
$310$	−1.62133	−	7.10353i	−0.0920856	−	0.403453i
$311$	5.15010	+	2.48016i	0.292036	+	0.140637i	0.574165	−	0.818739i	$-0.305327\pi$
$311$	5.15010	+	2.48016i	0.292036	+	0.140637i	−0.282130	+	0.959376i	$0.591041\pi$
$312$	−9.82036	−	43.0258i	−0.555968	−	2.43586i
$313$	−15.1746	−	19.0283i	−0.857717	−	1.07554i	−0.996364	−	0.0852012i	$-0.972847\pi$
$313$	−15.1746	−	19.0283i	−0.857717	−	1.07554i	0.138647	−	0.990342i	$-0.455725\pi$
$314$	−16.6996	+	8.04208i	−0.942410	+	0.453841i
$315$	11.2687	+	14.1306i	0.634922	+	0.796167i
$316$	1.32371	−	5.79954i	0.0744644	−	0.326250i
$317$	−13.6555	−	6.57613i	−0.766968	−	0.369352i	0.00913503	−	0.999958i	$-0.497092\pi$
$317$	−13.6555	−	6.57613i	−0.766968	−	0.369352i	−0.776103	+	0.630606i	$0.782806\pi$
$318$	6.25182	+	3.01072i	0.350585	+	0.168833i
$319$	−1.01357	+	1.27098i	−0.0567492	+	0.0711613i
$320$	1.58642	−	6.95055i	0.0886834	−	0.388547i
$321$	2.65495	+	11.6321i	0.148185	+	0.649240i
$322$	−2.12953	+	2.67035i	−0.118674	+	0.148813i
$323$	−0.951083	+	1.19262i	−0.0529197	+	0.0663591i
$324$	7.62887	+	33.4242i	0.423826	+	1.85690i
$325$	1.12349	−	4.92233i	0.0623200	−	0.273042i
$326$	−6.28017	+	7.87508i	−0.347826	+	0.436160i
$327$	−16.4574	−	7.92548i	−0.910097	−	0.438280i
$328$	14.0429	+	6.76269i	0.775388	+	0.373407i
$329$	−0.266594	+	1.16802i	−0.0146978	+	0.0643953i
$330$	−1.08815	−	1.36449i	−0.0599005	−	0.0751128i
$331$	−20.8898	+	10.0600i	−1.14821	+	0.552949i	−0.908495	−	0.417895i	$-0.862768\pi$
$331$	−20.8898	+	10.0600i	−1.14821	+	0.552949i	−0.239714	+	0.970843i	$0.577054\pi$
$332$	5.14861	+	6.45616i	0.282567	+	0.354328i
$333$	−7.58844	−	33.2471i	−0.415844	−	1.82193i
$334$	16.0879	+	7.74753i	0.880291	+	0.423926i
$335$	−2.96077	−	12.9720i	−0.161764	−	0.708735i
$336$	−1.94504	+	0.936683i	−0.106111	+	0.0511002i
$337$	21.4644			1.16924			0.584621	−	0.811307i	$-0.301243\pi$
$337$	21.4644			1.16924			0.584621	+	0.811307i	$0.301243\pi$
$338$	10.0175			0.544878
$339$	−7.35958	+	3.54419i	−0.399718	+	0.192494i
$340$	0.968541	−	4.24346i	0.0525265	−	0.230134i
$341$	0.949222	−	1.19029i	0.0514033	−	0.0644577i
$342$	3.58695	+	4.49789i	0.193960	+	0.243218i
$343$	15.0532			0.812798
$344$	0.799782	+	17.6346i	0.0431213	+	0.950796i
$345$	23.0858			1.24290
$346$	1.09299	+	1.37057i	0.0587595	+	0.0736821i
$347$	−15.9717	+	20.0278i	−0.857403	+	1.07515i	0.138990	+	0.990294i	$0.455614\pi$
$347$	−15.9717	+	20.0278i	−0.857403	+	1.07515i	−0.996393	+	0.0848561i	$0.972957\pi$
$348$	−4.75571	+	20.8361i	−0.254933	+	1.11693i
$349$	8.72132	−	4.19997i	0.466842	−	0.224819i	−0.185649	−	0.982616i	$-0.559439\pi$
$349$	8.72132	−	4.19997i	0.466842	−	0.224819i	0.652490	+	0.757797i	$0.273724\pi$
$350$	0.960771			0.0513554
$351$	−74.4747			−3.97517
$352$	1.76002	−	0.847581i	0.0938094	−	0.0451762i
$353$	0.0924579	+	0.405084i	0.00492104	+	0.0215605i	0.977329	−	0.211727i	$-0.0679088\pi$
$353$	0.0924579	+	0.405084i	0.00492104	+	0.0215605i	−0.972408	+	0.233288i	$0.925052\pi$
$354$	−29.1042	−	14.0158i	−1.54687	−	0.744933i
$355$	−0.298290	−	1.30689i	−0.0158316	−	0.0693627i
$356$	11.8294	+	14.8336i	0.626956	+	0.786178i
$357$	5.62133	−	2.70709i	0.297513	−	0.143274i
$358$	5.10872	+	6.40613i	0.270004	+	0.338575i
$359$	1.58964	−	6.96466i	0.0838979	−	0.367581i	−0.915498	−	0.402321i	$-0.868203\pi$
$359$	1.58964	−	6.96466i	0.0838979	−	0.367581i	0.999396	+	0.0347408i	$0.0110606\pi$
$360$	−36.5894	−	17.6205i	−1.92843	−	0.928683i
$361$	16.3034	+	7.85132i	0.858075	+	0.413227i
$362$	−6.63922	+	8.32532i	−0.348950	+	0.437569i
$363$	−7.86658	+	34.4658i	−0.412889	+	1.80898i
$364$	−1.82640	−	8.00197i	−0.0957292	−	0.419417i
$365$	6.95407	−	8.72012i	0.363992	−	0.456432i
$366$	−7.51842	+	9.42780i	−0.392994	+	0.492799i
$367$	−1.78113	−	7.80363i	−0.0929741	−	0.407346i	0.906929	−	0.421284i	$-0.138420\pi$
$367$	−1.78113	−	7.80363i	−0.0929741	−	0.407346i	−0.999903	+	0.0139379i	$0.995563\pi$
$368$	−0.439001	+	1.92339i	−0.0228845	+	0.100264i
$369$	27.2292	−	34.1443i	1.41749	−	1.77748i
$370$	6.53319	+	3.14622i	0.339644	+	0.163564i
$371$	2.87651	+	1.38525i	0.149341	+	0.0719188i
$372$	4.45377	−	19.5132i	0.230917	−	1.01171i
$373$	12.2823	+	15.4015i	0.635955	+	0.797462i	0.990491	−	0.137581i	$-0.0439326\pi$
$373$	12.2823	+	15.4015i	0.635955	+	0.797462i	−0.354536	+	0.935042i	$0.615361\pi$
$374$	−0.388355	+	0.187022i	−0.0200813	+	0.00967067i
$375$	−24.2935	−	30.4631i	−1.25451	−	1.57311i
$376$	−0.599031	−	2.62453i	−0.0308927	−	0.135350i
$377$	−22.0661	−	10.6265i	−1.13646	−	0.547292i
$378$	−3.15356	−	13.8167i	−0.162202	−	0.710652i
$379$	11.8204	−	5.69238i	0.607171	−	0.292398i	−0.104925	−	0.994480i	$-0.533460\pi$
$379$	11.8204	−	5.69238i	0.607171	−	0.292398i	0.712096	+	0.702082i	$0.247746\pi$
$380$	2.58104			0.132405
$381$	−15.1782			−0.777603
$382$	15.4858	−	7.45755i	0.792321	−	0.381561i
$383$	1.34266	−	5.88257i	0.0686066	−	0.300585i	−0.928971	−	0.370154i	$-0.879305\pi$
$383$	1.34266	−	5.88257i	0.0686066	−	0.300585i	0.997577	+	0.0695683i	$0.0221622\pi$
$384$	17.8143	−	22.3384i	0.909083	−	1.13995i
$385$	−0.500664	−	0.627813i	−0.0255162	−	0.0319963i
$386$	−7.01315			−0.356960
$387$	48.6710	+	8.81026i	2.47408	+	0.447851i
$388$	−20.6222			−1.04693
$389$	−0.502688	−	0.630351i	−0.0254873	−	0.0319601i	0.768924	−	0.639340i	$-0.220792\pi$
$389$	−0.502688	−	0.630351i	−0.0254873	−	0.0319601i	−0.794412	+	0.607380i	$0.792221\pi$
$390$	16.3937	−	20.5571i	0.830129	−	1.04095i
$391$	1.26875	−	5.55876i	0.0641634	−	0.281118i
$392$	−13.4966	+	6.49964i	−0.681684	+	0.328282i
$393$	14.2741			0.720034
$394$	14.8649			0.748881
$395$	7.89977	−	3.80433i	0.397481	−	0.191417i
$396$	−0.763242	−	3.34398i	−0.0383543	−	0.168041i
$397$	−8.36927	−	4.03043i	−0.420042	−	0.202281i	0.211910	−	0.977289i	$-0.432032\pi$
$397$	−8.36927	−	4.03043i	−0.420042	−	0.202281i	−0.631952	+	0.775008i	$0.717746\pi$
$398$	0.610449	+	2.67455i	0.0305990	+	0.134063i
$399$	2.30678	+	2.89261i	0.115484	+	0.144812i
$400$	0.500000	−	0.240787i	0.0250000	−	0.0120394i
$401$	−17.0553	−	21.3866i	−0.851699	−	1.06800i	−0.996907	−	0.0785953i	$-0.974957\pi$
$401$	−17.0553	−	21.3866i	−0.851699	−	1.06800i	0.145208	−	0.989401i	$-0.453615\pi$
$402$	−3.85474	+	16.8887i	−0.192257	+	0.842333i
$403$	20.6652	+	9.95182i	1.02941	+	0.495736i
$404$	−19.5456	−	9.41265i	−0.972428	−	0.468297i
$405$	−31.5066	+	39.5081i	−1.56558	+	1.96317i
$406$	1.03707	−	4.54371i	0.0514691	−	0.225501i
$407$	0.337150	+	1.47715i	0.0167119	+	0.0732196i
$408$	−8.74094	+	10.9608i	−0.432741	+	0.542640i
$409$	−2.29440	+	2.87709i	−0.113451	+	0.142263i	−0.835314	−	0.549772i	$-0.814714\pi$
$409$	−2.29440	+	2.87709i	−0.113451	+	0.142263i	0.721863	+	0.692036i	$0.243286\pi$
$410$	2.06638	+	9.05338i	0.102051	+	0.447115i
$411$	4.06465	−	17.8084i	0.200494	−	0.878423i
$412$	−12.7627	+	16.0039i	−0.628774	+	0.788457i
$413$	−13.3910	−	6.44879i	−0.658930	−	0.317324i
$414$	−19.3741	−	9.33008i	−0.952186	−	0.458549i
$415$	−2.70841	+	11.8663i	−0.132951	+	0.582496i
$416$	18.3497	+	23.0097i	0.899666	+	1.12815i
$417$	48.3950	−	23.3058i	2.36991	−	1.14129i
$418$	−0.159366	−	0.199839i	−0.00779485	−	0.00977443i
$419$	5.62833	+	24.6593i	0.274962	+	1.20469i	0.904075	+	0.427374i	$0.140561\pi$
$419$	5.62833	+	24.6593i	0.274962	+	1.20469i	−0.629113	+	0.777314i	$0.716582\pi$
$420$	−9.51142	−	4.58046i	−0.464110	−	0.223503i
$421$	−3.82813	−	16.7721i	−0.186571	−	0.817423i	−0.978407	−	0.206688i	$-0.933731\pi$
$421$	−3.82813	−	16.7721i	−0.186571	−	0.817423i	0.791835	−	0.610735i	$-0.209126\pi$
$422$	−6.43416	+	3.09853i	−0.313210	+	0.150834i
$423$	−7.54288			−0.366747
$424$	−7.17390			−0.348395
$425$	−1.44504	+	0.695895i	−0.0700948	+	0.0337559i
$426$	−0.388355	+	1.70149i	−0.0188159	+	0.0824376i
$427$	−3.45928	+	4.33780i	−0.167406	+	0.209921i
$428$	−3.10872	−	3.89821i	−0.150266	−	0.188427i
$429$	5.49396			0.265251
$430$	−7.91723	+	6.92325i	−0.381803	+	0.333869i
$431$	3.73364			0.179843			0.0899216	−	0.995949i	$-0.471338\pi$
$431$	3.73364			0.179843			0.0899216	+	0.995949i	$0.471338\pi$
$432$	−5.10388	−	6.40006i	−0.245560	−	0.307923i
$433$	13.3877	−	16.7876i	0.643371	−	0.806762i	−0.348049	−	0.937476i	$-0.613156\pi$
$433$	13.3877	−	16.7876i	0.643371	−	0.806762i	0.991420	+	0.130714i	$0.0417271\pi$
$434$	−0.971229	+	4.25523i	−0.0466205	+	0.204258i
$435$	−28.3817	+	13.6679i	−1.36080	+	0.655325i
$436$	7.63342			0.365574
$437$	3.38106			0.161738
$438$	−13.0831	+	6.30047i	−0.625133	+	0.301048i
$439$	2.93458	+	12.8573i	0.140060	+	0.613643i	0.995419	+	0.0956075i	$0.0304794\pi$
$439$	2.93458	+	12.8573i	0.140060	+	0.613643i	−0.855359	+	0.518036i	$0.826663\pi$
$440$	1.62565	+	0.782870i	0.0774996	+	0.0373218i
$441$	9.33997	+	40.9211i	0.444760	+	1.94862i
$442$	−4.04892	−	5.07718i	−0.192587	−	0.241497i
$443$	25.4148	−	12.2391i	1.20750	−	0.581499i	0.281692	−	0.959505i	$-0.409104\pi$
$443$	25.4148	−	12.2391i	1.20750	−	0.581499i	0.925803	+	0.378006i	$0.123390\pi$
$444$	12.4194	+	15.5734i	0.589398	+	0.739082i
$445$	−6.22282	+	27.2639i	−0.294990	+	1.29243i
$446$	3.53319	+	1.70149i	0.167301	+	0.0805681i
$447$	26.3572	+	12.6930i	1.24665	+	0.600356i
$448$	−2.66272	+	3.33894i	−0.125802	+	0.157750i
$449$	−5.38955	+	23.6132i	−0.254349	+	1.11437i	0.672843	+	0.739786i	$0.265073\pi$
$449$	−5.38955	+	23.6132i	−0.254349	+	1.11437i	−0.927191	+	0.374589i	$0.877784\pi$
$450$	1.34601	+	5.89726i	0.0634516	+	0.277999i
$451$	−1.20978	+	1.51701i	−0.0569661	+	0.0714332i
$452$	2.12833	−	2.66885i	0.100108	−	0.125532i
$453$	−2.08815	−	9.14877i	−0.0981097	−	0.429846i
$454$	0.741176	−	3.24730i	0.0347851	−	0.152403i
$455$	7.54288	−	9.45847i	0.353616	−	0.443420i
$456$	−7.49007	−	3.60703i	−0.350755	−	0.168915i
$457$	−21.1250	−	10.1733i	−0.988185	−	0.475885i	−0.131272	−	0.991346i	$-0.541906\pi$
$457$	−21.1250	−	10.1733i	−0.988185	−	0.475885i	−0.856913	+	0.515462i	$0.827620\pi$
$458$	3.48835	−	15.2834i	0.163000	−	0.714148i
$459$	14.7506	+	18.4967i	0.688500	+	0.863352i
$460$	−8.69202	+	4.18586i	−0.405268	+	0.195167i
$461$	−10.3626	−	12.9942i	−0.482633	−	0.605203i	0.479581	−	0.877498i	$-0.340789\pi$
$461$	−10.3626	−	12.9942i	−0.482633	−	0.605203i	−0.962214	+	0.272295i	$0.912217\pi$
$462$	0.232637	+	1.01925i	0.0108232	+	0.0474197i
$463$	5.18114	+	2.49510i	0.240788	+	0.115957i	0.550386	−	0.834910i	$-0.314480\pi$
$463$	5.18114	+	2.49510i	0.240788	+	0.115957i	−0.309599	+	0.950867i	$0.600195\pi$
$464$	−0.599031	−	2.62453i	−0.0278093	−	0.121841i
$465$	26.5797	−	12.8001i	1.23260	−	0.593591i
$466$	−6.22175			−0.288217
$467$	23.4547			1.08536			0.542678	−	0.839941i	$-0.317410\pi$
$467$	23.4547			1.08536			0.542678	+	0.839941i	$0.317410\pi$
$468$	46.5577	−	22.4210i	2.15213	−	1.03641i
$469$	−1.77359	+	7.77062i	−0.0818970	+	0.358814i
$470$	1.00000	−	1.25396i	0.0461266	−	0.0578409i
$471$	−46.7911	−	58.6742i	−2.15602	−	2.70356i
$472$	33.3967			1.53721
$473$	−2.16242	−	0.391435i	−0.0994283	−	0.0179982i
$474$	−11.4155			−0.524331
$475$	−0.592990	−	0.743586i	−0.0272083	−	0.0341181i
$476$	−1.62565	+	2.03850i	−0.0745114	+	0.0934343i
$477$	−4.47285	+	19.5968i	−0.204798	+	0.897278i
$478$	−11.3077	+	5.44552i	−0.517204	+	0.249072i
$479$	26.7278			1.22122			0.610612	−	0.791930i	$-0.290924\pi$
$479$	26.7278			1.22122			0.610612	+	0.791930i	$0.290924\pi$
$480$	37.8538			1.72778
$481$	−20.5661	+	9.90413i	−0.937735	+	0.451589i
$482$	1.71121	+	7.49730i	0.0779434	+	0.341492i
$483$	−12.4596	−	6.00022i	−0.566930	−	0.273019i
$484$	−3.28740	−	14.4031i	−0.149427	−	0.654685i
$485$	−18.9517	−	23.7646i	−0.860551	−	1.07910i
$486$	27.3022	−	13.1481i	1.23845	−	0.596408i
$487$	−6.25116	−	7.83871i	−0.283267	−	0.355206i	0.619758	−	0.784793i	$-0.287231\pi$
$487$	−6.25116	−	7.83871i	−0.283267	−	0.355206i	−0.903025	+	0.429587i	$0.858659\pi$
$488$	2.77413	−	12.1542i	0.125579	−	0.550197i
$489$	−36.7443	−	17.6951i	−1.66164	−	0.800202i
$490$	−8.04115	−	3.87241i	−0.363262	−	0.174938i
$491$	−13.1114	+	16.4412i	−0.591710	+	0.741980i	−0.984060	−	0.177835i	$-0.943091\pi$
$491$	−13.1114	+	16.4412i	−0.591710	+	0.741980i	0.392351	+	0.919816i	$0.371662\pi$
$492$	−5.67629	+	24.8695i	−0.255907	+	1.12120i
$493$	1.73125	+	7.58510i	0.0779716	+	0.341616i
$494$	2.40097	−	3.01072i	0.108025	−	0.135459i
$495$	3.15213	−	3.95264i	0.141678	−	0.177658i
$496$	0.560999	+	2.45790i	0.0251896	+	0.110363i
$497$	−0.178685	+	0.782870i	−0.00801511	+	0.0351165i
$498$	9.88016	−	12.3893i	0.442740	−	0.555179i
$499$	−27.8279	−	13.4012i	−1.24575	−	0.599920i	−0.309379	−	0.950939i	$-0.600121\pi$
$499$	−27.8279	−	13.4012i	−1.24575	−	0.599920i	−0.936369	+	0.351019i	$0.885835\pi$
$500$	14.6703	+	7.06482i	0.656074	+	0.315948i
$501$	−16.0879	+	70.4857i	−0.718755	+	3.14907i
$502$	−6.56584	−	8.23331i	−0.293048	−	0.367470i
$503$	27.8751	−	13.4239i	1.24289	−	0.598543i	0.307292	−	0.951615i	$-0.400577\pi$
$503$	27.8751	−	13.4239i	1.24289	−	0.598543i	0.935596	+	0.353072i	$0.114863\pi$
$504$	15.1679	+	19.0199i	0.675630	+	0.847213i
$505$	−7.11529	−	31.1741i	−0.316626	−	1.38723i
$506$	0.860781	+	0.414530i	0.0382664	+	0.0184281i
$507$	9.02542	+	39.5429i	0.400833	+	1.75616i
$508$	5.71475	−	2.75208i	0.253551	−	0.122104i
$509$	−22.4494			−0.995050			−0.497525	−	0.867450i	$-0.665758\pi$
$509$	−22.4494			−0.995050			−0.497525	+	0.867450i	$0.665758\pi$
$510$	−8.35258			−0.369859
$511$	−6.01961	+	2.89889i	−0.266292	+	0.128239i
$512$	−1.38471	+	6.06680i	−0.0611960	+	0.268117i
$513$	−8.74698	+	10.9684i	−0.386189	+	0.484265i
$514$	−8.91066	−	11.1736i	−0.393032	−	0.492847i
$515$	−30.1715			−1.32952
$516$	−27.8463	+	7.69834i	−1.22587	+	0.338900i
$517$	0.335126			0.0147388
$518$	−2.70828	−	3.39608i	−0.118995	−	0.149215i
$519$	−4.42543	+	5.54931i	−0.194255	+	0.243588i
$520$	−6.04892	+	26.5020i	−0.265263	+	1.16219i
$521$	14.7066	−	7.08230i	0.644306	−	0.310281i	−0.0830464	−	0.996546i	$-0.526465\pi$
$521$	14.7066	−	7.08230i	0.644306	−	0.310281i	0.727352	+	0.686264i	$0.240751\pi$
$522$	29.3424			1.28428
$523$	4.42626			0.193547			0.0967733	−	0.995306i	$-0.469148\pi$
$523$	4.42626			0.193547			0.0967733	+	0.995306i	$0.469148\pi$
$524$	−5.37435	+	2.58815i	−0.234780	+	0.113064i
$525$	0.865625	+	3.79255i	0.0377790	+	0.165521i
$526$	23.0836	+	11.1165i	1.00649	+	0.484701i
$527$	−1.62133	−	7.10353i	−0.0706264	−	0.309435i
$528$	0.376510	+	0.472129i	0.0163855	+	0.0205468i
$529$	9.33609	−	4.49602i	0.405917	−	0.195479i
$530$	−2.66487	−	3.34165i	−0.115755	−	0.145152i
$531$	20.8225	−	91.2294i	0.903620	−	3.95902i
$532$	−1.39301	−	0.670838i	−0.0603946	−	0.0290845i
$533$	−26.3376	−	12.6835i	−1.14081	−	0.549384i
$534$	22.7005	−	28.4655i	0.982347	−	1.23182i
$535$	1.63533	−	7.16487i	0.0707017	−	0.309764i
$536$	−3.98523	−	17.4604i	−0.172136	−	0.754176i
$537$	−20.6848	+	25.9379i	−0.892614	+	1.11930i
$538$	−0.426624	+	0.534970i	−0.0183931	+	0.0230642i
$539$	−0.414969	−	1.81810i	−0.0178740	−	0.0783111i
$540$	8.90754	−	39.0265i	0.383320	−	1.67943i
$541$	−3.52595	+	4.42140i	−0.151592	+	0.190091i	−0.851829	−	0.523820i	$-0.824506\pi$
$541$	−3.52595	+	4.42140i	−0.151592	+	0.190091i	0.700237	+	0.713911i	$0.253078\pi$
$542$	−1.64622	−	0.792778i	−0.0707112	−	0.0340527i
$543$	−38.8451	−	18.7068i	−1.66700	−	0.802786i
$544$	2.08038	−	9.11472i	0.0891954	−	0.390791i
$545$	7.01507	+	8.79661i	0.300492	+	0.376806i
$546$	−14.1908	+	6.83394i	−0.607311	+	0.292466i
$547$	11.7424	+	14.7245i	0.502070	+	0.629576i	0.966695	−	0.255932i	$-0.0823822\pi$
$547$	11.7424	+	14.7245i	0.502070	+	0.629576i	−0.464625	+	0.885508i	$0.653811\pi$
$548$	1.69859	+	7.44203i	0.0725604	+	0.317908i
$549$	−31.4720	−	15.1561i	−1.34319	−	0.646846i
$550$	−0.0598025	−	0.262012i	−0.00254999	−	0.0111722i
$551$	−4.15668	+	2.00175i	−0.177080	+	0.0852774i
$552$	31.0737			1.32258
$553$	−5.25236			−0.223353
$554$	−2.51261	+	1.21001i	−0.106751	+	0.0514084i
$555$	−6.53319	+	28.6238i	−0.277318	+	1.21501i
$556$	−13.9955	+	17.5497i	−0.593539	+	0.744275i
$557$	23.7032	+	29.7229i	1.00434	+	1.25940i	0.965568	+	0.260150i	$0.0837722\pi$
$557$	23.7032	+	29.7229i	1.00434	+	1.25940i	0.0387688	+	0.999248i	$0.487656\pi$
$558$	−27.4795			−1.16330
$559$	−1.50000	−	33.0740i	−0.0634432	−	1.39888i
$560$	1.32975			0.0561921
$561$	−1.08815	−	1.36449i	−0.0459416	−	0.0576089i
$562$	−9.05107	+	11.3497i	−0.381796	+	0.478758i
$563$	9.62684	−	42.1780i	0.405723	−	1.77759i	−0.197799	−	0.980243i	$-0.563379\pi$
$563$	9.62684	−	42.1780i	0.405723	−	1.77759i	0.603522	−	0.797346i	$-0.293763\pi$
$564$	3.96950	−	1.91161i	0.167146	−	0.0804933i
$565$	5.03146			0.211675
$566$	−19.1390			−0.804471
$567$	27.2729	−	13.1340i	1.14536	−	0.551574i
$568$	−0.401501	−	1.75909i	−0.0168466	−	0.0738099i
$569$	31.9288	+	15.3761i	1.33853	+	0.644600i	0.959742	−	0.280884i	$-0.0906277\pi$
$569$	31.9288	+	15.3761i	1.33853	+	0.644600i	0.378785	+	0.925485i	$0.376342\pi$
$570$	−1.10215	−	4.82882i	−0.0461638	−	0.202257i
$571$	26.8391	+	33.6551i	1.12318	+	1.40842i	0.901217	+	0.433368i	$0.142675\pi$
$571$	26.8391	+	33.6551i	1.12318	+	1.40842i	0.221963	+	0.975055i	$0.428754\pi$
$572$	−2.06853	+	0.996152i	−0.0864897	+	0.0416512i
$573$	43.3901	+	54.4095i	1.81265	+	2.27299i
$574$	1.23782	−	5.42326i	0.0516658	−	0.226362i
$575$	3.20291	+	1.54244i	0.133570	+	0.0643241i
$576$	−24.2250	−	11.6661i	−1.00937	−	0.486089i
$577$	−9.76002	+	12.2387i	−0.406315	+	0.509503i	−0.942321	−	0.334712i	$-0.891361\pi$
$577$	−9.76002	+	12.2387i	−0.406315	+	0.509503i	0.536006	+	0.844214i	$0.319933\pi$
$578$	2.57457	−	11.2799i	0.107088	−	0.469184i
$579$	−6.31863	−	27.6837i	−0.262593	−	1.15050i
$580$	8.20775	−	10.2922i	0.340808	−	0.427360i
$581$	4.54593	−	5.70042i	0.188597	−	0.236493i
$582$	8.80601	+	38.5817i	0.365021	+	1.59926i
$583$	0.198726	−	0.870677i	0.00823040	−	0.0360597i
$584$	9.36025	−	11.7374i	0.387330	−	0.485696i
$585$	68.6238	+	33.0475i	2.83725	+	1.36635i
$586$	−19.8710	−	9.56937i	−0.820864	−	0.395307i
$587$	4.35258	−	19.0699i	0.179650	−	0.787100i	−0.802141	−	0.597135i	$-0.796306\pi$
$587$	4.35258	−	19.0699i	0.179650	−	0.787100i	0.981791	−	0.189964i	$-0.0608373\pi$
$588$	−15.2860	−	19.1680i	−0.630383	−	0.790475i
$589$	3.89277	−	1.87466i	0.160399	−	0.0772440i
$590$	12.4058	+	15.5564i	0.510739	+	0.640447i
$591$	13.3928	+	58.6776i	0.550905	+	2.41367i
$592$	−2.26055	−	1.08863i	−0.0929082	−	0.0447422i
$593$	9.01424	+	39.4940i	0.370170	+	1.62182i	0.726294	+	0.687384i	$0.241241\pi$
$593$	9.01424	+	39.4940i	0.370170	+	1.62182i	−0.356124	+	0.934439i	$0.615902\pi$
$594$	−3.57165	+	1.72001i	−0.146546	+	0.0705731i
$595$	−3.84309			−0.157551
$596$	−12.2252			−0.500764
$597$	−10.0075	+	4.81937i	−0.409581	+	0.197244i
$598$	−3.20291	+	14.0329i	−0.130977	+	0.573846i
$599$	−22.5371	+	28.2607i	−0.920842	+	1.15470i	0.0667673	+	0.997769i	$0.478731\pi$
$599$	−22.5371	+	28.2607i	−0.920842	+	1.15470i	−0.987610	+	0.156931i	$0.949840\pi$
$600$	−5.44989	−	6.83394i	−0.222491	−	0.278994i
$601$	−23.5743			−0.961617			−0.480809	−	0.876826i	$-0.659657\pi$
$601$	−23.5743			−0.961617			−0.480809	+	0.876826i	$0.659657\pi$
$602$	6.07242	−	1.67877i	0.247493	−	0.0684215i
$603$	−50.1812			−2.04354
$604$	2.44504	+	3.06599i	0.0994873	+	0.124753i
$605$	13.5767	−	17.0247i	0.551973	−	0.692152i
$606$	−9.26367	+	40.5868i	−0.376311	+	1.64873i
$607$	4.54407	−	2.18831i	0.184438	−	0.0888208i	−0.339386	−	0.940647i	$-0.610219\pi$
$607$	4.54407	−	2.18831i	0.184438	−	0.0888208i	0.523824	+	0.851826i	$0.324505\pi$
$608$	5.54394			0.224837
$609$	18.8702			0.764660
$610$	6.69202	−	3.22271i	0.270952	−	0.130484i
$611$	1.12349	+	4.92233i	0.0454515	+	0.199136i
$612$	−14.7899	−	7.12242i	−0.597845	−	0.287907i
$613$	−6.06398	−	26.5680i	−0.244922	−	1.07307i	−0.936471	−	0.350744i	$-0.885929\pi$
$613$	−6.06398	−	26.5680i	−0.244922	−	1.07307i	0.691549	−	0.722329i	$-0.256928\pi$
$614$	−10.1419	−	12.7175i	−0.409294	−	0.513239i
$615$	−33.8756	+	16.3136i	−1.36600	+	0.657829i
$616$	−0.673899	−	0.845043i	−0.0271522	−	0.0340477i
$617$	5.25076	−	23.0051i	0.211388	−	0.926150i	−0.752238	−	0.658892i	$-0.771025\pi$
$617$	5.25076	−	23.0051i	0.211388	−	0.926150i	0.963625	−	0.267258i	$-0.0861174\pi$
$618$	35.3913	+	17.0436i	1.42365	+	0.685593i
$619$	37.9686	+	18.2847i	1.52609	+	0.734925i	0.993752	−	0.111609i	$-0.0356005\pi$
$619$	37.9686	+	18.2847i	1.52609	+	0.734925i	0.532335	+	0.846534i	$0.321315\pi$
$620$	−7.68664	+	9.63875i	−0.308703	+	0.387101i
$621$	11.6685	−	51.1231i	0.468242	−	2.05150i
$622$	1.02004	+	4.46909i	0.0408999	+	0.179194i
$623$	10.4447	−	13.0972i	0.418457	−	0.524728i
$624$	−5.67241	+	7.11297i	−0.227078	+	0.284747i
$625$	4.22790	+	18.5236i	0.169116	+	0.740945i
$626$	4.34309	−	19.0283i	0.173585	−	0.760524i
$627$	0.645260	−	0.809131i	0.0257692	−	0.0323136i
$628$	28.2560	+	13.6074i	1.12754	+	0.542993i
$629$	6.53319	+	3.14622i	0.260495	+	0.125448i
$630$	−3.22521	+	14.1306i	−0.128495	+	0.562975i
$631$	−14.5070	−	18.1912i	−0.577515	−	0.724180i	0.404172	−	0.914683i	$-0.367560\pi$
$631$	−14.5070	−	18.1912i	−0.577515	−	0.724180i	−0.981687	+	0.190503i	$0.938988\pi$
$632$	10.6332	−	5.12067i	0.422965	−	0.203689i
$633$	−18.0281	−	22.6065i	−0.716553	−	0.898529i
$634$	−2.70464	−	11.8498i	−0.107415	−	0.470615i
$635$	8.42327	+	4.05643i	0.334267	+	0.160975i
$636$	−2.61260	−	11.4466i	−0.103597	−	0.453886i
$637$	25.3131	−	12.1902i	1.00294	−	0.482992i
$638$	−1.30367			−0.0516127
$639$	−5.05562			−0.199997
$640$	−15.8562	+	7.63596i	−0.626773	+	0.301838i
$641$	−2.50700	+	10.9839i	−0.0990206	+	0.433837i	−1.00000		2.43722e-5i	$-0.999992\pi$
$641$	−2.50700	+	10.9839i	−0.0990206	+	0.433837i	0.900979	+	0.433862i	$0.142849\pi$
$642$	−5.96562	+	7.48065i	−0.235444	+	0.295238i
$643$	−5.65817	−	7.09512i	−0.223136	−	0.279804i	0.657644	−	0.753329i	$-0.271553\pi$
$643$	−5.65817	−	7.09512i	−0.223136	−	0.279804i	−0.880781	+	0.473524i	$0.842982\pi$
$644$	5.77910			0.227729
$645$	−34.4620	−	25.0149i	−1.35694	−	0.984959i
$646$	−1.22329			−0.0481297
$647$	−3.99462	−	5.00910i	−0.157045	−	0.196928i	0.697084	−	0.716989i	$-0.254480\pi$
$647$	−3.99462	−	5.00910i	−0.157045	−	0.196928i	−0.854129	+	0.520061i	$0.825909\pi$
$648$	−42.4083	+	53.1783i	−1.66595	+	2.08904i
$649$	−0.925132	+	4.05327i	−0.0363146	+	0.159105i
$650$	3.64795	−	1.75676i	0.143084	−	0.0689058i
$651$	−17.6722			−0.692627
$652$	17.0431			0.667458
$653$	25.8315	−	12.4398i	1.01087	−	0.486807i	0.146254	−	0.989247i	$-0.453278\pi$
$653$	25.8315	−	12.4398i	1.01087	−	0.486807i	0.864612	+	0.502440i	$0.167564\pi$
$654$	−3.25959	−	14.2812i	−0.127460	−	0.558440i
$655$	−7.92154	−	3.81481i	−0.309520	−	0.149057i
$656$	−0.714988	−	3.13257i	−0.0279156	−	0.122306i
$657$	−26.2268	−	32.8874i	−1.02321	−	1.28306i
$658$	−0.865625	+	0.416863i	−0.0337456	+	0.0162510i
$659$	5.82118	+	7.29953i	0.226761	+	0.284349i	0.882176	−	0.470919i	$-0.156078\pi$
$659$	5.82118	+	7.29953i	0.226761	+	0.284349i	−0.655415	+	0.755269i	$0.727506\pi$
$660$	−0.657105	+	2.87896i	−0.0255778	+	0.112064i
$661$	−6.33901	−	3.05271i	−0.246559	−	0.118737i	0.306523	−	0.951863i	$-0.400834\pi$
$661$	−6.33901	−	3.05271i	−0.246559	−	0.118737i	−0.553082	+	0.833127i	$0.686549\pi$
$662$	−16.7524	−	8.06751i	−0.651099	−	0.313553i
$663$	16.3937	−	20.5571i	0.636680	−	0.798371i
$664$	−3.64556	+	15.9722i	−0.141475	+	0.619842i
$665$	−0.507106	−	2.22178i	−0.0196647	−	0.0861568i
$666$	17.0511	−	21.3814i	0.660716	−	0.828511i
$667$	10.7518	−	13.4824i	0.416312	−	0.522039i
$668$	−6.72305	−	29.4556i	−0.260123	−	1.13967i
$669$	−3.53319	+	15.4799i	−0.136601	+	0.598488i
$670$	6.65279	−	8.34234i	0.257020	−	0.322293i
$671$	1.39828	+	0.673376i	0.0539800	+	0.0259954i
$672$	−20.4300	−	9.83859i	−0.788106	−	0.379532i
$673$	0.0866540	−	0.379656i	0.00334027	−	0.0146347i	−0.973230	−	0.229832i	$-0.926182\pi$
$673$	0.0866540	−	0.379656i	0.00334027	−	0.0146347i	0.976571	+	0.215197i	$0.0690395\pi$
$674$	10.7322	+	13.4578i	0.413389	+	0.518374i
$675$	−13.2899	+	6.40006i	−0.511527	+	0.246338i
$676$	−10.5680	−	13.2519i	−0.406462	−	0.509687i
$677$	−0.809602	−	3.54710i	−0.0311155	−	0.136326i	0.956984	−	0.290139i	$-0.0937017\pi$
$677$	−0.809602	−	3.54710i	−0.0311155	−	0.136326i	−0.988100	+	0.153813i	$0.950845\pi$
$678$	−5.90193	−	2.84222i	−0.226662	−	0.109155i
$679$	4.05171	+	17.7517i	0.155490	+	0.681248i
$680$	7.78017	−	3.74673i	0.298356	−	0.143681i
$681$	13.4862			0.516792
$682$	1.22090			0.0467506
$683$	−25.1797	+	12.1259i	−0.963475	+	0.463985i	−0.848391	−	0.529371i	$-0.822428\pi$
$683$	−25.1797	+	12.1259i	−0.963475	+	0.463985i	−0.115084	+	0.993356i	$0.536714\pi$
$684$	2.16607	−	9.49018i	0.0828218	−	0.362866i
$685$	−7.01507	+	8.79661i	−0.268032	+	0.336101i
$686$	7.52661	+	9.43808i	0.287367	+	0.360347i
$687$	63.4728			2.42164
$688$	2.73945	−	2.39552i	0.104440	−	0.0913283i
$689$	13.4547			0.512584
$690$	11.5429	+	14.4743i	0.439430	+	0.551028i
$691$	16.1848	−	20.2951i	0.615698	−	0.772061i	−0.372034	−	0.928219i	$-0.621339\pi$
$691$	16.1848	−	20.2951i	0.615698	−	0.772061i	0.987732	+	0.156158i	$0.0499109\pi$
$692$	0.660030	−	2.89178i	0.0250906	−	0.109929i
$693$	−2.72856	+	1.31401i	−0.103649	+	0.0499150i
$694$	−20.5429			−0.779797
$695$	−33.0858			−1.25501
$696$	−38.2020	+	18.3971i	−1.44804	+	0.697341i
$697$	2.06638	+	9.05338i	0.0782696	+	0.342921i
$698$	6.99396	+	3.36811i	0.264725	+	0.127485i
$699$	−5.60560	−	24.5598i	−0.212023	−	0.928935i
$700$	−1.01357	−	1.27098i	−0.0383095	−	0.0480386i
$701$	38.4529	−	18.5179i	1.45234	−	0.699412i	0.469344	−	0.883015i	$-0.344490\pi$
$701$	38.4529	−	18.5179i	1.45234	−	0.699412i	0.983001	+	0.183603i	$0.0587760\pi$
$702$	−37.2373	−	46.6942i	−1.40543	−	1.76236i
$703$	−0.956828	+	4.19214i	−0.0360874	+	0.158109i
$704$	1.07630	+	0.518319i	0.0405646	+	0.0195349i
$705$	5.85086	+	2.81762i	0.220356	+	0.106118i
$706$	−0.207751	+	0.260511i	−0.00781881	+	0.00980448i
$707$	−4.26228	+	18.6743i	−0.160300	+	0.702319i
$708$	12.1625	+	53.2873i	0.457094	+	2.00266i
$709$	−17.4400	+	21.8690i	−0.654971	+	0.821308i	−0.992785	−	0.119905i	$-0.961741\pi$
$709$	−17.4400	+	21.8690i	−0.654971	+	0.821308i	0.337814	+	0.941213i	$0.390313\pi$
$710$	0.670251	−	0.840468i	0.0251541	−	0.0315422i
$711$	−7.35839	−	32.2392i	−0.275961	−	1.20906i
$712$	−8.37598	+	36.6976i	−0.313903	+	1.37530i
$713$	−10.0692	+	12.6264i	−0.377094	+	0.472861i
$714$	4.50796	+	2.17092i	0.168706	+	0.0812446i
$715$	−3.04892	−	1.46828i	−0.114023	−	0.0549106i
$716$	3.08503	−	13.5164i	0.115293	−	0.505132i
$717$	−31.6836	−	39.7300i	−1.18325	−	1.48374i
$718$	5.16152	−	2.48566i	0.192626	−	0.0927639i
$719$	23.7969	+	29.8403i	0.887473	+	1.11286i	0.992962	+	0.118435i	$0.0377879\pi$
$719$	23.7969	+	29.8403i	0.887473	+	1.11286i	−0.105489	+	0.994420i	$0.533641\pi$
$720$	1.86294	+	8.16206i	0.0694276	+	0.304182i
$721$	16.2838	+	7.84187i	0.606441	+	0.292047i
$722$	3.22909	+	14.1476i	0.120174	+	0.526519i
$723$	−28.0531	+	13.5097i	−1.04331	+	0.502430i
$724$	18.0175			0.669614
$725$	−4.85086			−0.180156
$726$	−25.5426	+	12.3007i	−0.947976	+	0.456521i
$727$	6.28687	−	27.5446i	0.233167	−	1.02157i	−0.713827	−	0.700322i	$-0.753040\pi$
$727$	6.28687	−	27.5446i	0.233167	−	1.02157i	0.946994	−	0.321250i	$-0.104103\pi$
$728$	10.1528	−	12.7312i	0.376288	−	0.471850i
$729$	29.2392	+	36.6648i	1.08293	+	1.35796i
$730$	8.94438			0.331046
$731$	−7.91723	+	6.92325i	−0.292829	+	0.256066i
$732$	20.4034			0.754132
$733$	−5.51775	−	6.91904i	−0.203803	−	0.255561i	0.669417	−	0.742887i	$-0.266544\pi$
$733$	−5.51775	−	6.91904i	−0.203803	−	0.255561i	−0.873220	+	0.487326i	$0.837972\pi$
$734$	4.00216	−	5.01854i	0.147722	−	0.185238i
$735$	8.04115	−	35.2306i	0.296602	−	1.29950i
$736$	−18.6700	+	8.99100i	−0.688186	+	0.331413i
$737$	2.22952			0.0821255
$738$	35.0224			1.28919
$739$	−33.9729	+	16.3605i	−1.24971	+	0.601830i	−0.937435	−	0.348160i	$-0.886807\pi$
$739$	−33.9729	+	16.3605i	−1.24971	+	0.601830i	−0.312279	+	0.949991i	$0.601092\pi$
$740$	−2.73019	−	11.9617i	−0.100364	−	0.439722i
$741$	14.0477	+	6.76503i	0.516056	+	0.248519i
$742$	0.569728	+	2.49614i	0.0209154	+	0.0916363i
$743$	3.45779	+	4.33593i	0.126854	+	0.159070i	0.841202	−	0.540720i	$-0.181848\pi$
$743$	3.45779	+	4.33593i	0.126854	+	0.159070i	−0.714349	+	0.699790i	$0.753277\pi$
$744$	35.7766	−	17.2291i	1.31163	−	0.631649i
$745$	−11.2349	−	14.0881i	−0.411615	−	0.516149i
$746$	−3.51530	+	15.4015i	−0.128704	+	0.563891i
$747$	41.3582	+	19.9170i	1.51322	+	0.728726i
$748$	0.657105	+	0.316445i	0.0240261	+	0.0115704i
$749$	−2.74482	+	3.44190i	−0.100294	+	0.125764i
$750$	6.95300	−	30.4631i	0.253888	−	1.11235i
$751$	7.78621	+	34.1136i	0.284123	+	1.24482i	0.892453	+	0.451140i	$0.148982\pi$
$751$	7.78621	+	34.1136i	0.284123	+	1.24482i	−0.608331	+	0.793684i	$0.708161\pi$
$752$	−0.346011	+	0.433884i	−0.0126177	+	0.0158221i
$753$	26.5846	−	33.3360i	0.968795	−	1.21483i
$754$	−4.37047	−	19.1483i	−0.159163	−	0.697339i
$755$	−1.28621	+	5.63525i	−0.0468099	+	0.205088i
$756$	−14.9508	+	18.7478i	−0.543757	+	0.681850i
$757$	−39.1764	−	18.8663i	−1.42389	−	0.685709i	−0.446038	−	0.895014i	$-0.647165\pi$
$757$	−39.1764	−	18.8663i	−1.42389	−	0.685709i	−0.977850	+	0.209305i	$0.932880\pi$
$758$	9.47919	+	4.56494i	0.344300	+	0.165806i
$759$	−0.860781	+	3.77133i	−0.0312444	+	0.136890i
$760$	3.19269	+	4.00350i	0.115811	+	0.145222i
$761$	−23.5846	+	11.3577i	−0.854940	+	0.411717i	−0.809409	−	0.587246i	$-0.800212\pi$
$761$	−23.5846	+	11.3577i	−0.854940	+	0.411717i	−0.0455308	+	0.998963i	$0.514498\pi$
$762$	−7.58911	−	9.51644i	−0.274924	−	0.344744i
$763$	−1.49976	−	6.57089i	−0.0542951	−	0.237882i
$764$	−26.2022	−	12.6183i	−0.947964	−	0.456515i
$765$	−5.38404	−	23.5890i	−0.194660	−	0.852863i
$766$	4.35958	−	2.09947i	0.157518	−	0.0758568i
$767$	−62.6359			−2.26165
$768$	46.0616			1.66210
$769$	32.1836	−	15.4988i	1.16057	−	0.558901i	0.248378	−	0.968663i	$-0.420103\pi$
$769$	32.1836	−	15.4988i	1.16057	−	0.558901i	0.912192	+	0.409762i	$0.134388\pi$
$770$	0.143294	−	0.627813i	0.00516396	−	0.0226248i
$771$	36.0785	−	45.2410i	1.29934	−	1.62932i
$772$	7.39858	+	9.27752i	0.266281	+	0.333905i
$773$	−11.2241			−0.403704			−0.201852	−	0.979416i	$-0.564696\pi$
$773$	−11.2241			−0.403704			−0.201852	+	0.979416i	$0.564696\pi$
$774$	18.8116	+	34.9209i	0.676170	+	1.25520i
$775$	4.54288			0.163185
$776$	−25.5092	−	31.9875i	−0.915725	−	1.14828i
$777$	10.9656	−	13.7504i	0.393389	−	0.493295i
$778$	0.143874	−	0.630351i	0.00515812	−	0.0225992i
$779$	−4.96130	+	2.38924i	−0.177757	+	0.0856033i
$780$	−44.4892			−1.59297
$781$	0.224618			0.00803748
$782$	4.11960	−	1.98390i	0.147317	−	0.0709440i
$783$	15.9221	+	69.7592i	0.569009	+	2.49299i
$784$	2.78232	+	1.33990i	0.0993687	+	0.0478534i
$785$	10.2862	+	45.0668i	0.367131	+	1.60850i
$786$	7.13706	+	8.94959i	0.254571	+	0.319221i
$787$	−30.5030	+	14.6895i	−1.08731	+	0.523623i	−0.889648	−	0.456647i	$-0.849050\pi$
$787$	−30.5030	+	14.6895i	−1.08731	+	0.523623i	−0.197666	+	0.980269i	$0.563336\pi$
$788$	−15.6818	−	19.6644i	−0.558641	−	0.700514i
$789$	−23.0836	+	101.136i	−0.821798	+	3.60053i
$790$	6.33513	+	3.05084i	0.225394	+	0.108544i
$791$	−2.71552	−	1.30773i	−0.0965528	−	0.0464974i
$792$	4.24280	−	5.32030i	0.150761	−	0.189049i
$793$	−5.20291	+	22.7954i	−0.184761	+	0.809489i
$794$	−1.65764	−	7.26258i	−0.0588273	−	0.257739i
$795$	10.7899	−	13.5301i	0.382677	−	0.479861i
$796$	2.89410	−	3.62909i	0.102579	−	0.128630i
$797$	3.00269	+	13.1556i	0.106361	+	0.465997i	0.999857	+	0.0169256i	$0.00538784\pi$
$797$	3.00269	+	13.1556i	0.106361	+	0.465997i	−0.893496	+	0.449071i	$0.851755\pi$
$798$	−0.660220	+	2.89261i	−0.0233715	+	0.102397i
$799$	1.00000	−	1.25396i	0.0353775	−	0.0443619i
$800$	5.25182	+	2.52915i	0.185680	+	0.0894188i
$801$	95.0239	+	45.7611i	3.35750	+	1.61689i
$802$	4.88135	−	21.3866i	0.172367	−	0.755188i
$803$	1.16524	+	1.46117i	0.0411205	+	0.0515635i
$804$	26.4083	−	12.7175i	0.931348	−	0.448513i
$805$	5.31096	+	6.65974i	0.187187	+	0.234725i
$806$	4.09299	+	17.9326i	0.144169	+	0.631648i
$807$	−2.49612	−	1.20207i	−0.0878674	−	0.0423147i
$808$	−9.57726	−	41.9607i	−0.336927	−	1.47617i
$809$	−34.9894	+	16.8500i	−1.23016	+	0.592415i	−0.932124	−	0.362139i	$-0.882047\pi$
$809$	−34.9894	+	16.8500i	−1.23016	+	0.592415i	−0.298038	+	0.954554i	$0.596332\pi$
$810$	−40.5241			−1.42387
$811$	−14.9589			−0.525276			−0.262638	−	0.964894i	$-0.584593\pi$
$811$	−14.9589			−0.525276			−0.262638	+	0.964894i	$0.584593\pi$
$812$	−7.10483	+	3.42151i	−0.249331	+	0.120071i
$813$	1.64622	−	7.21256i	0.0577354	−	0.252955i
$814$	−0.757569	+	0.949962i	−0.0265528	+	0.0332961i
$815$	15.6625	+	19.6401i	0.548633	+	0.687964i
$816$	2.89008			0.101173
$817$	−5.04719	−	3.66359i	−0.176579	−	0.128173i
$818$	−2.95108			−0.103182
$819$	−28.4475	−	35.6720i	−0.994036	−	1.24648i
$820$	9.79656	−	12.2845i	0.342111	−	0.428993i
$821$	−5.52489	+	24.2061i	−0.192820	+	0.844799i	0.782261	+	0.622950i	$0.214066\pi$
$821$	−5.52489	+	24.2061i	−0.192820	+	0.844799i	−0.975081	+	0.221848i	$0.928791\pi$
$822$	13.1978	−	6.35574i	0.460327	−	0.221682i
$823$	40.9788			1.42843			0.714216	−	0.699925i	$-0.246783\pi$
$823$	40.9788			1.42843			0.714216	+	0.699925i	$0.246783\pi$
$824$	−40.6112			−1.41476
$825$	0.980386	−	0.472129i	0.0341326	−	0.0164374i
$826$	−2.65226	−	11.6203i	−0.0922839	−	0.404322i
$827$	−35.8848	−	17.2812i	−1.24784	−	0.600926i	−0.310905	−	0.950441i	$-0.600632\pi$
$827$	−35.8848	−	17.2812i	−1.24784	−	0.600926i	−0.936931	+	0.349515i	$0.886346\pi$
$828$	8.09634	+	35.4724i	0.281367	+	1.23275i
$829$	10.1540	+	12.7327i	0.352663	+	0.442225i	0.926244	−	0.376923i	$-0.123018\pi$
$829$	10.1540	+	12.7327i	0.352663	+	0.442225i	−0.573582	+	0.819148i	$0.694447\pi$
$830$	−8.79417	+	4.23505i	−0.305250	+	0.147001i
$831$	−7.04019	−	8.82812i	−0.244221	−	0.306244i
$832$	−4.00484	+	17.5464i	−0.138843	+	0.608311i
$833$	−8.04115	−	3.87241i	−0.278609	−	0.134171i
$834$	38.8098	+	18.6898i	1.34387	+	0.647175i
$835$	27.7657	−	34.8171i	0.960871	−	1.20489i
$836$	−0.0962373	+	0.421643i	−0.00332844	+	0.0145828i
$837$	−14.9112	−	65.3302i	−0.515406	−	2.25814i
$838$	−12.6468	+	15.8585i	−0.436875	+	0.547824i
$839$	−15.7303	+	19.7252i	−0.543072	+	0.680991i	−0.975328	−	0.220760i	$-0.929146\pi$
$839$	−15.7303	+	19.7252i	−0.543072	+	0.680991i	0.432256	+	0.901751i	$0.357718\pi$
$840$	−4.66056	−	20.4193i	−0.160805	−	0.704531i
$841$	1.21701	−	5.33208i	0.0419660	−	0.183865i
$842$	8.60172	−	10.7862i	0.296435	−	0.371718i
$843$	−52.9565	−	25.5025i	−1.82392	−	0.878353i
$844$	10.8867	+	5.24277i	0.374737	+	0.180464i
$845$	5.55927	−	24.3568i	0.191245	−	0.837898i
$846$	−3.77144	−	4.72923i	−0.129665	−	0.162594i
$847$	−11.7524	+	5.65964i	−0.403816	+	0.194467i
$848$	0.922075	+	1.15625i	0.0316642	+	0.0397056i
$849$	−17.2436	−	75.5493i	−0.591800	−	2.59284i
$850$	−1.15883	−	0.558065i	−0.0397477	−	0.0191415i
$851$	−3.57643	−	15.6694i	−0.122599	−	0.537139i
$852$	2.66056	−	1.28126i	0.0911494	−	0.0438952i
$853$	24.0062			0.821958			0.410979	−	0.911645i	$-0.365187\pi$
$853$	24.0062			0.821958			0.410979	+	0.911645i	$0.365187\pi$
$854$	−4.44935			−0.152254
$855$	12.9269	−	6.22528i	0.442091	−	0.212900i
$856$	2.20118	−	9.64399i	0.0752347	−	0.329625i
$857$	19.8512	−	24.8926i	0.678102	−	0.850313i	−0.317075	−	0.948400i	$-0.602701\pi$
$857$	19.8512	−	24.8926i	0.678102	−	0.850313i	0.995178	+	0.0980868i	$0.0312723\pi$
$858$	2.74698	+	3.44460i	0.0937803	+	0.117597i
$859$	21.3575			0.728708			0.364354	−	0.931261i	$-0.381290\pi$
$859$	21.3575			0.728708			0.364354	+	0.931261i	$0.381290\pi$
$860$	17.5109	+	3.16977i	0.597118	+	0.108088i
$861$	22.5230			0.767583
$862$	1.86682	+	2.34092i	0.0635842	+	0.0797321i
$863$	−12.0817	+	15.1500i	−0.411267	+	0.515713i	−0.943719	−	0.330747i	$-0.892699\pi$
$863$	−12.0817	+	15.1500i	−0.411267	+	0.515713i	0.532452	+	0.846460i	$0.321271\pi$
$864$	19.1329	−	83.8269i	0.650916	−	2.85185i
$865$	3.93900	−	1.89692i	0.133930	−	0.0644973i
$866$	17.2194			0.585138
$867$	46.8461			1.59098
$868$	6.65375	−	3.20428i	0.225843	−	0.108760i
$869$	0.326929	+	1.43237i	0.0110903	+	0.0485898i
$870$	−22.7603	−	10.9608i	−0.771647	−	0.371606i
$871$	7.47434	+	32.7472i	0.253259	+	1.10960i
$872$	9.44235	+	11.8403i	0.319758	+	0.400964i
$873$	−103.284	+	49.7392i	−3.49565	+	1.68342i
$874$	1.69053	+	2.11986i	0.0571830	+	0.0717052i
$875$	3.19913	−	14.0163i	0.108150	−	0.473837i
$876$	22.1368	+	10.6605i	0.747934	+	0.360186i
$877$	−25.6857	−	12.3696i	−0.867346	−	0.417692i	−0.0533593	−	0.998575i	$-0.516993\pi$
$877$	−25.6857	−	12.3696i	−0.867346	−	0.417692i	−0.813987	+	0.580884i	$0.802707\pi$
$878$	−6.59395	+	8.26855i	−0.222535	+	0.279050i
$879$	19.8710	−	87.0605i	0.670232	−	2.93648i
$880$	−0.0827692	−	0.362636i	−0.00279015	−	0.0122244i
$881$	18.2216	−	22.8492i	0.613902	−	0.769809i	−0.373570	−	0.927602i	$-0.621867\pi$
$881$	18.2216	−	22.8492i	0.613902	−	0.769809i	0.987472	+	0.157793i	$0.0504379\pi$
$882$	−20.9867	+	26.3165i	−0.706660	+	0.886123i
$883$	−4.60925	−	20.1945i	−0.155114	−	0.679597i	−0.991352	−	0.131231i	$-0.958107\pi$
$883$	−4.60925	−	20.1945i	−0.155114	−	0.679597i	0.836238	−	0.548366i	$-0.184750\pi$
$884$	−2.44504	+	10.7124i	−0.0822357	+	0.360298i
$885$	−50.2301	+	62.9866i	−1.68847	+	2.11727i
$886$	20.3811	+	9.81503i	0.684717	+	0.329742i
$887$	26.1673	+	12.6015i	0.878613	+	0.423118i	0.818118	−	0.575051i	$-0.195018\pi$
$887$	26.1673	+	12.6015i	0.878613	+	0.423118i	0.0604952	+	0.998168i	$0.480732\pi$
$888$	−8.79374	+	38.5279i	−0.295099	+	1.29291i
$889$	−3.49180	−	4.37858i	−0.117111	−	0.146853i
$890$	−20.2054	+	9.73039i	−0.677285	+	0.326163i
$891$	−5.27934	−	6.62008i	−0.176865	−	0.221781i
$892$	−1.47650	−	6.46897i	−0.0494369	−	0.216597i
$893$	0.856896	+	0.412659i	0.0286749	+	0.0138091i
$894$	5.22037	+	22.8719i	0.174595	+	0.764951i
$895$	18.4112	−	8.86636i	0.615418	−	0.296370i
$896$	10.5424			0.352197
$897$	−58.2790			−1.94588
$898$	−17.4998	+	8.42744i	−0.583975	+	0.281227i
$899$	4.90366	−	21.4843i	0.163546	−	0.716542i
$900$	6.38135	−	8.00197i	0.212712	−	0.266732i
$901$	−2.66487	−	3.34165i	−0.0887798	−	0.111326i
$902$	−1.55602			−0.0518099
$903$	12.0978	+	22.4578i	0.402591	+	0.747347i
$904$	6.77240			0.225247
$905$	16.5579	+	20.7630i	0.550405	+	0.690186i
$906$	4.69202	−	5.88361i	0.155882	−	0.195470i
$907$	−2.97823	+	13.0485i	−0.0988905	+	0.433268i	−1.00000		0.000324123i	$-0.999897\pi$
$907$	−2.97823	+	13.0485i	−0.0988905	+	0.433268i	0.901109	+	0.433592i	$0.142754\pi$
$908$	−5.07769	+	2.44529i	−0.168509	+	0.0811497i
$909$	−120.595			−3.99988
$910$	9.70171			0.321609
$911$	−26.4511	+	12.7382i	−0.876365	+	0.422035i	−0.817296	−	0.576219i	$-0.804528\pi$
$911$	−26.4511	+	12.7382i	−0.876365	+	0.422035i	−0.0590697	+	0.998254i	$0.518813\pi$
$912$	0.381355	+	1.67082i	0.0126279	+	0.0553265i
$913$	−1.83752	−	0.884902i	−0.0608130	−	0.0292860i
$914$	−4.18406	−	18.3316i	−0.138396	−	0.606355i
$915$	18.7506	+	23.5125i	0.619877	+	0.777301i
$916$	−23.8981	+	11.5087i	−0.789617	+	0.380260i
$917$	3.28382	+	4.11777i	0.108441	+	0.135981i
$918$	−4.22175	+	18.4967i	−0.139339	+	0.610482i
$919$	−33.1688	−	15.9733i	−1.09414	−	0.526909i	−0.202328	−	0.979318i	$-0.564851\pi$
$919$	−33.1688	−	15.9733i	−1.09414	−	0.526909i	−0.891811	+	0.452409i	$0.850565\pi$
$920$	−17.2446	−	8.30456i	−0.568537	−	0.273793i
$921$	41.0637	−	51.4923i	1.35310	−	1.69673i
$922$	2.96585	−	12.9942i	0.0976752	−	0.427943i
$923$	0.753020	+	3.29920i	0.0247860	+	0.108594i
$924$	1.10292	−	1.38301i	0.0362833	−	0.0454978i
$925$	−2.81886	+	3.53474i	−0.0926837	+	0.116222i
$926$	1.02619	+	4.49602i	0.0337226	+	0.147748i
$927$	−25.3207	+	110.937i	−0.831639	+	3.64365i
$928$	17.6298	−	22.1071i	0.578727	−	0.725701i
$929$	26.0330	+	12.5368i	0.854113	+	0.411319i	0.809103	−	0.587667i	$-0.199954\pi$
$929$	26.0330	+	12.5368i	0.854113	+	0.411319i	0.0450106	+	0.998987i	$0.485668\pi$
$930$	21.3153	+	10.2649i	0.698955	+	0.336599i
$931$	1.17768	−	5.15975i	0.0385969	−	0.169104i
$932$	6.56369	+	8.23060i	0.215001	+	0.269602i
$933$	−16.7223	+	8.05303i	−0.547463	+	0.263644i
$934$	11.7274	+	14.7057i	0.383731	+	0.481184i
$935$	0.239210	+	1.04805i	0.00782300	+	0.0342748i
$936$	92.3684	+	44.4823i	3.01916	+	1.45395i
$937$	0.664874	+	2.91301i	0.0217205	+	0.0951637i	0.984626	−	0.174674i	$-0.0558871\pi$
$937$	0.664874	+	2.91301i	0.0217205	+	0.0951637i	−0.962906	+	0.269838i	$0.913030\pi$
$938$	−5.75882	+	2.77330i	−0.188032	+	0.0905516i
$939$	79.0253			2.57889
$940$	−2.71379			−0.0885141
$941$	1.03827	−	0.500004i	0.0338466	−	0.0162997i	−0.416884	−	0.908960i	$-0.636878\pi$
$941$	1.03827	−	0.500004i	0.0338466	−	0.0162997i	0.450730	+	0.892660i	$0.351164\pi$
$942$	13.3920	−	58.6742i	0.436335	−	1.91171i
$943$	12.8331	−	16.0922i	0.417903	−	0.524034i
$944$	−4.29254	−	5.38268i	−0.139710	−	0.175191i
$945$	−35.3443			−1.14975
$946$	−0.835790	−	1.55151i	−0.0271739	−	0.0504441i
$947$	33.6939			1.09491			0.547453	−	0.836836i	$-0.315597\pi$
$947$	33.6939			1.09491			0.547453	+	0.836836i	$0.315597\pi$
$948$	12.0429	+	15.1013i	0.391134	+	0.490467i
$949$	−17.5553	+	22.0136i	−0.569868	+	0.714591i
$950$	0.169719	−	0.743586i	0.00550640	−	0.0241251i
$951$	44.3391	−	21.3526i	1.43779	−	0.692405i
$952$	−5.17283			−0.167653
$953$	−23.9463			−0.775697			−0.387848	−	0.921723i	$-0.626782\pi$
$953$	−23.9463			−0.775697			−0.387848	+	0.921723i	$0.626782\pi$
$954$	−14.5233	+	6.99403i	−0.470208	+	0.226440i
$955$	−9.53856	−	41.7912i	−0.308661	−	1.35233i
$956$	19.1329	+	9.21394i	0.618804	+	0.298000i
$957$	−1.17456	−	5.14610i	−0.0379682	−	0.166350i
$958$	13.3639	+	16.7578i	0.431768	+	0.541420i
$959$	6.07242	−	2.92432i	0.196089	−	0.0944313i
$960$	14.4330	+	18.0984i	0.465822	+	0.584122i
$961$	2.30582	−	10.1025i	0.0743814	−	0.325886i
$962$	−16.4928	−	7.94250i	−0.531748	−	0.256076i
$963$	−24.9720	−	12.0259i	−0.804710	−	0.387528i
$964$	8.11274	−	10.1730i	0.261294	−	0.327652i
$965$	−3.89200	+	17.0520i	−0.125288	+	0.548923i
$966$	−2.46777	−	10.8120i	−0.0793993	−	0.347871i
$967$	−21.6147	+	27.1040i	−0.695081	+	0.871605i	−0.996645	−	0.0818414i	$-0.973920\pi$
$967$	−21.6147	+	27.1040i	−0.695081	+	0.871605i	0.301564	+	0.953446i	$0.402491\pi$
$968$	18.2744	−	22.9154i	0.587362	−	0.736529i
$969$	−1.10215	−	4.82882i	−0.0354060	−	0.155124i
$970$	5.42413	−	23.7646i	0.174158	−	0.763037i
$971$	−12.4936	+	15.6665i	−0.400938	+	0.502761i	−0.940786	−	0.339002i	$-0.889911\pi$
$971$	−12.4936	+	15.6665i	−0.400938	+	0.502761i	0.539847	+	0.841763i	$0.318482\pi$
$972$	−46.1960	−	22.2468i	−1.48174	−	0.713567i
$973$	17.8567	+	8.59931i	0.572458	+	0.275681i
$974$	1.78913	−	7.83871i	0.0573275	−	0.251168i
$975$	10.2213	+	12.8171i	0.327344	+	0.410477i
$976$	−2.31551	+	1.11509i	−0.0741177	+	0.0356932i
$977$	33.5812	+	42.1095i	1.07436	+	1.34720i	0.934069	+	0.357092i	$0.116232\pi$
$977$	33.5812	+	42.1095i	1.07436	+	1.34720i	0.140289	+	0.990111i	$0.455197\pi$
$978$	−7.27767	−	31.8856i	−0.232714	−	1.01959i
$979$	−4.22186	−	2.03314i	−0.134931	−	0.0649794i
$980$	3.36035	+	14.7227i	0.107343	+	0.470298i
$981$	38.2313	−	18.4112i	1.22063	−	0.587825i
$982$	−16.8640			−0.538152
$983$	37.8993			1.20880			0.604400	−	0.796681i	$-0.293413\pi$
$983$	37.8993			1.20880			0.604400	+	0.796681i	$0.293413\pi$
$984$	−45.5969	+	21.9583i	−1.45358	+	0.700006i
$985$	8.24937	−	36.1429i	0.262847	−	1.15161i
$986$	−3.89008	+	4.87801i	−0.123886	+	0.155348i
$987$	−2.42543	−	3.04139i	−0.0772022	−	0.0968085i
$988$	−6.51573			−0.207293
$989$	22.9386	+	4.15228i	0.729406	+	0.132035i
$990$	4.05429			0.128854
$991$	−15.6852	−	19.6686i	−0.498255	−	0.624792i	0.467579	−	0.883951i	$-0.345126\pi$
$991$	−15.6852	−	19.6686i	−0.498255	−	0.624792i	−0.965835	+	0.259159i	$0.916555\pi$
$992$	−16.5105	+	20.7035i	−0.524209	+	0.657338i
$993$	16.7524	−	73.3969i	0.531620	−	2.32918i
$994$	−0.580186	+	0.279403i	−0.0184024	+	0.00886212i
$995$	6.84176			0.216898
$996$	−26.8127			−0.849593
$997$	41.5245	−	19.9972i	1.31509	−	0.633316i	0.360928	−	0.932594i	$-0.382460\pi$
$997$	41.5245	−	19.9972i	1.31509	−	0.633316i	0.954166	+	0.299277i	$0.0967456\pi$
$998$	−5.51165	−	24.1481i	−0.174468	−	0.764396i
$999$	60.0849	+	28.9353i	1.90100	+	0.915474i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	43.2.e.b.11.1	yes	6
3.2	odd	2		387.2.u.a.226.1		6
4.3	odd	2		688.2.u.c.97.1		6
43.2	odd	14		1849.2.a.l.1.1		3
43.4	even	7	inner	43.2.e.b.4.1	✓	6
43.41	even	7		1849.2.a.i.1.3		3
129.47	odd	14		387.2.u.a.262.1		6
172.47	odd	14		688.2.u.c.305.1		6

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
43.2.e.b.4.1	✓	6	43.4	even	7	inner
43.2.e.b.11.1	yes	6	1.1	even	1	trivial
387.2.u.a.226.1		6	3.2	odd	2
387.2.u.a.262.1		6	129.47	odd	14
688.2.u.c.97.1		6	4.3	odd	2
688.2.u.c.305.1		6	172.47	odd	14
1849.2.a.i.1.3		3	43.41	even	7
1849.2.a.l.1.1		3	43.2	odd	14

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:	\( N \)	\(=\)	\( 43 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	43.e (of order \(7\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.500000 + 0.626980i) q^{2} +(-2.02446 + 2.53859i) q^{3} +(0.301938 - 1.32288i) q^{4} +(1.80194 - 0.867767i) q^{5} -2.60388 q^{6} -1.19806 q^{7} +(2.42543 - 1.16802i) q^{8} +(-1.67845 - 7.35376i) q^{9} +O(q^{10})\)	\(q+(0.500000 + 0.626980i) q^{2} +(-2.02446 + 2.53859i) q^{3} +(0.301938 - 1.32288i) q^{4} +(1.80194 - 0.867767i) q^{5} -2.60388 q^{6} -1.19806 q^{7} +(2.42543 - 1.16802i) q^{8} +(-1.67845 - 7.35376i) q^{9} +(1.44504 + 0.695895i) q^{10} +(0.0745725 + 0.326723i) q^{11} +(2.74698 + 3.44460i) q^{12} +(-4.54892 + 2.19064i) q^{13} +(-0.599031 - 0.751161i) q^{14} +(-1.44504 + 6.33114i) q^{15} +(-0.500000 - 0.240787i) q^{16} +(1.44504 + 0.695895i) q^{17} +(3.77144 - 4.72923i) q^{18} +(-0.211636 + 0.927237i) q^{19} +(-0.603875 - 2.64575i) q^{20} +(2.42543 - 3.04139i) q^{21} +(-0.167563 + 0.210117i) q^{22} +(-0.791053 - 3.46583i) q^{23} +(-1.94504 + 8.52179i) q^{24} +(-0.623490 + 0.781831i) q^{25} +(-3.64795 - 1.75676i) q^{26} +(13.2899 + 6.40006i) q^{27} +(-0.361740 + 1.58489i) q^{28} +(3.02446 + 3.79255i) q^{29} +(-4.69202 + 2.25956i) q^{30} +(-2.83244 - 3.55176i) q^{31} +(-1.29709 - 5.68294i) q^{32} +(-0.980386 - 0.472129i) q^{33} +(0.286208 + 1.25396i) q^{34} +(-2.15883 + 1.03964i) q^{35} -10.2349 q^{36} +4.52111 q^{37} +(-0.687177 + 0.330927i) q^{38} +(3.64795 - 15.9827i) q^{39} +(3.35690 - 4.20941i) q^{40} +(3.60992 + 4.52669i) q^{41} +3.11960 q^{42} +(-2.57457 + 6.03089i) q^{43} +0.454731 q^{44} +(-9.40581 - 11.7945i) q^{45} +(1.77748 - 2.22889i) q^{46} +(0.222521 - 0.974928i) q^{47} +(1.62349 - 0.781831i) q^{48} -5.56465 q^{49} -0.801938 q^{50} +(-4.69202 + 2.25956i) q^{51} +(1.52446 + 6.67909i) q^{52} +(-2.40097 - 1.15625i) q^{53} +(2.63222 + 11.5325i) q^{54} +(0.417895 + 0.524023i) q^{55} +(-2.90581 + 1.39937i) q^{56} +(-1.92543 - 2.41441i) q^{57} +(-0.865625 + 3.79255i) q^{58} +(11.1773 + 5.38268i) q^{59} +(7.93900 + 3.82322i) q^{60} +(2.88740 - 3.62068i) q^{61} +(0.810667 - 3.55176i) q^{62} +(2.01089 + 8.81026i) q^{63} +(2.22252 - 2.78695i) q^{64} +(-6.29590 + 7.89481i) q^{65} +(-0.194177 - 0.850747i) q^{66} +(1.48039 - 6.48599i) q^{67} +(1.35690 - 1.70149i) q^{68} +(10.3998 + 5.00827i) q^{69} +(-1.73125 - 0.833726i) q^{70} +(0.149145 - 0.653447i) q^{71} +(-12.6603 - 15.8755i) q^{72} +(5.02446 - 2.41965i) q^{73} +(2.26055 + 2.83464i) q^{74} +(-0.722521 - 3.16557i) q^{75} +(1.16272 + 0.559936i) q^{76} +(-0.0893425 - 0.391435i) q^{77} +(11.8448 - 5.70416i) q^{78} +4.38404 q^{79} -1.10992 q^{80} +(-22.7642 + 10.9627i) q^{81} +(-1.03319 + 4.52669i) q^{82} +(-3.79440 + 4.75803i) q^{83} +(-3.29105 - 4.12685i) q^{84} +3.20775 q^{85} +(-5.06853 + 1.40124i) q^{86} -15.7506 q^{87} +(0.562491 + 0.705341i) q^{88} +(-8.71797 + 10.9320i) q^{89} +(2.69202 - 11.7945i) q^{90} +(5.44989 - 2.62453i) q^{91} -4.82371 q^{92} +14.7506 q^{93} +(0.722521 - 0.347948i) q^{94} +(0.423272 + 1.85447i) q^{95} +(17.0526 + 8.21208i) q^{96} +(-3.38189 - 14.8170i) q^{97} +(-2.78232 - 3.48892i) q^{98} +(2.27748 - 1.09678i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 6 q + 3 q^{2} - 3 q^{3} - 7 q^{4} + 2 q^{5} + 2 q^{6} - 16 q^{7} + q^{8} - 6 q^{9}+O(q^{10}) \) 6 * q + 3 * q^2 - 3 * q^3 - 7 * q^4 + 2 * q^5 + 2 * q^6 - 16 * q^7 + q^8 - 6 * q^9	\( 6 q + 3 q^{2} - 3 q^{3} - 7 q^{4} + 2 q^{5} + 2 q^{6} - 16 q^{7} + q^{8} - 6 q^{9} + 8 q^{10} + 14 q^{11} + 7 q^{12} - 9 q^{13} - 8 q^{14} - 8 q^{15} - 3 q^{16} + 8 q^{17} + 4 q^{18} - 4 q^{19} + 14 q^{20} + q^{21} + q^{23} - 11 q^{24} + q^{25} - 8 q^{26} + 33 q^{27} + 28 q^{28} + 9 q^{29} - 18 q^{30} - 18 q^{31} - 21 q^{32} + 7 q^{33} + 18 q^{34} + 4 q^{35} - 14 q^{36} - 4 q^{37} - 16 q^{38} + 8 q^{39} + 12 q^{40} + 23 q^{41} - 24 q^{42} - 29 q^{43} - 42 q^{44} - 30 q^{45} + 11 q^{46} + q^{47} + 5 q^{48} + 10 q^{49} + 4 q^{50} - 18 q^{51} - 10 q^{53} + 27 q^{54} + 14 q^{55} + 9 q^{56} + 2 q^{57} - 13 q^{58} + 22 q^{59} + 28 q^{60} + 19 q^{61} + 12 q^{62} + 9 q^{63} + 13 q^{64} - 10 q^{65} + 28 q^{66} - 4 q^{67} + 17 q^{69} - 26 q^{70} + 28 q^{71} - 15 q^{72} + 21 q^{73} - 2 q^{74} - 4 q^{75} + 28 q^{76} - 49 q^{77} + 25 q^{78} + 6 q^{79} - 8 q^{80} - 58 q^{81} - 13 q^{82} - 39 q^{83} - 14 q^{84} - 16 q^{85} - 25 q^{86} - 22 q^{87} - 21 q^{88} + 11 q^{89} + 6 q^{90} + 10 q^{91} - 14 q^{92} + 16 q^{93} + 4 q^{94} + 8 q^{95} + 21 q^{96} - 19 q^{97} + 5 q^{98} + 14 q^{99}+O(q^{100}) \) 6 * q + 3 * q^2 - 3 * q^3 - 7 * q^4 + 2 * q^5 + 2 * q^6 - 16 * q^7 + q^8 - 6 * q^9 + 8 * q^10 + 14 * q^11 + 7 * q^12 - 9 * q^13 - 8 * q^14 - 8 * q^15 - 3 * q^16 + 8 * q^17 + 4 * q^18 - 4 * q^19 + 14 * q^20 + q^21 + q^23 - 11 * q^24 + q^25 - 8 * q^26 + 33 * q^27 + 28 * q^28 + 9 * q^29 - 18 * q^30 - 18 * q^31 - 21 * q^32 + 7 * q^33 + 18 * q^34 + 4 * q^35 - 14 * q^36 - 4 * q^37 - 16 * q^38 + 8 * q^39 + 12 * q^40 + 23 * q^41 - 24 * q^42 - 29 * q^43 - 42 * q^44 - 30 * q^45 + 11 * q^46 + q^47 + 5 * q^48 + 10 * q^49 + 4 * q^50 - 18 * q^51 - 10 * q^53 + 27 * q^54 + 14 * q^55 + 9 * q^56 + 2 * q^57 - 13 * q^58 + 22 * q^59 + 28 * q^60 + 19 * q^61 + 12 * q^62 + 9 * q^63 + 13 * q^64 - 10 * q^65 + 28 * q^66 - 4 * q^67 + 17 * q^69 - 26 * q^70 + 28 * q^71 - 15 * q^72 + 21 * q^73 - 2 * q^74 - 4 * q^75 + 28 * q^76 - 49 * q^77 + 25 * q^78 + 6 * q^79 - 8 * q^80 - 58 * q^81 - 13 * q^82 - 39 * q^83 - 14 * q^84 - 16 * q^85 - 25 * q^86 - 22 * q^87 - 21 * q^88 + 11 * q^89 + 6 * q^90 + 10 * q^91 - 14 * q^92 + 16 * q^93 + 4 * q^94 + 8 * q^95 + 21 * q^96 - 19 * q^97 + 5 * q^98 + 14 * q^99

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