LMFDB - Embedded newform 175.2.n.a.29.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [175,2,Mod(29,175)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(175, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([1, 0]))

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

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

chi := DirichletCharacter("175.29");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 175 = 5^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	175.n (of order $10$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$1.39738203537$
Analytic rank:	$0$
Dimension:	$56$
Relative dimension:	$14$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			29.6
Character	$\chi$	$=$	175.29
Dual form			175.2.n.a.169.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.798956 - 0.259597i) q^{2} +(-0.142668 + 0.196366i) q^{3} +(-1.04709 - 0.760758i) q^{4} +(1.61677 + 1.54469i) q^{5} +(0.164962 - 0.119852i) q^{6} +1.00000i q^{7} +(1.62666 + 2.23890i) q^{8} +(0.908846 + 2.79714i) q^{9} +O(q^{10})$	\(q+(-0.798956 - 0.259597i) q^{2} +(-0.142668 + 0.196366i) q^{3} +(-1.04709 - 0.760758i) q^{4} +(1.61677 + 1.54469i) q^{5} +(0.164962 - 0.119852i) q^{6} +1.00000i q^{7} +(1.62666 + 2.23890i) q^{8} +(0.908846 + 2.79714i) q^{9} +(-0.890733 - 1.65384i) q^{10} +(1.63238 - 5.02396i) q^{11} +(0.298774 - 0.0970776i) q^{12} +(3.65183 - 1.18655i) q^{13} +(0.259597 - 0.798956i) q^{14} +(-0.533986 + 0.0971010i) q^{15} +(0.0814924 + 0.250808i) q^{16} +(3.80051 + 5.23095i) q^{17} -2.47072i q^{18} +(-1.95972 + 1.42382i) q^{19} +(-0.517777 - 2.84740i) q^{20} +(-0.196366 - 0.142668i) q^{21} +(-2.60840 + 3.59016i) q^{22} +(0.0800857 + 0.0260214i) q^{23} -0.671716 q^{24} +(0.227888 + 4.99480i) q^{25} -3.22568 q^{26} +(-1.37145 - 0.445612i) q^{27} +(0.760758 - 1.04709i) q^{28} +(-6.49487 - 4.71880i) q^{29} +(0.451838 + 0.0610415i) q^{30} +(1.68414 - 1.22360i) q^{31} -5.75640i q^{32} +(0.753646 + 1.03730i) q^{33} +(-1.67850 - 5.16590i) q^{34} +(-1.54469 + 1.61677i) q^{35} +(1.17630 - 3.62028i) q^{36} +(-5.80091 + 1.88483i) q^{37} +(1.93535 - 0.628835i) q^{38} +(-0.288002 + 0.886379i) q^{39} +(-0.828470 + 6.13246i) q^{40} +(-2.26181 - 6.96114i) q^{41} +(0.119852 + 0.164962i) q^{42} +5.51139i q^{43} +(-5.53127 + 4.01871i) q^{44} +(-2.85131 + 5.92621i) q^{45} +(-0.0572299 - 0.0415799i) q^{46} +(1.61356 - 2.22087i) q^{47} +(-0.0608765 - 0.0197800i) q^{48} -1.00000 q^{49} +(1.11456 - 4.04979i) q^{50} -1.56939 q^{51} +(-4.72648 - 1.53573i) q^{52} +(-0.0659668 + 0.0907956i) q^{53} +(0.980052 + 0.712049i) q^{54} +(10.3996 - 5.60106i) q^{55} +(-2.23890 + 1.62666i) q^{56} -0.587958i q^{57} +(3.96413 + 5.45616i) q^{58} +(-4.25222 - 13.0870i) q^{59} +(0.633003 + 0.304560i) q^{60} +(-0.611079 + 1.88071i) q^{61} +(-1.66319 + 0.540404i) q^{62} +(-2.79714 + 0.908846i) q^{63} +(-1.33136 + 4.09750i) q^{64} +(7.73701 + 3.72255i) q^{65} +(-0.332849 - 1.02440i) q^{66} +(1.49417 + 2.05656i) q^{67} -8.36856i q^{68} +(-0.0165354 + 0.0120137i) q^{69} +(1.65384 - 0.890733i) q^{70} +(3.79809 + 2.75947i) q^{71} +(-4.78413 + 6.58480i) q^{72} +(0.999769 + 0.324845i) q^{73} +5.12397 q^{74} +(-1.01332 - 0.667851i) q^{75} +3.13520 q^{76} +(5.02396 + 1.63238i) q^{77} +(0.460202 - 0.633413i) q^{78} +(7.89564 + 5.73652i) q^{79} +(-0.255665 + 0.531379i) q^{80} +(-6.85500 + 4.98045i) q^{81} +6.14881i q^{82} +(-9.08622 - 12.5061i) q^{83} +(0.0970776 + 0.298774i) q^{84} +(-1.93563 + 14.3278i) q^{85} +(1.43074 - 4.40336i) q^{86} +(1.85322 - 0.602149i) q^{87} +(13.9035 - 4.51751i) q^{88} +(0.126968 - 0.390767i) q^{89} +(3.81649 - 3.99459i) q^{90} +(1.18655 + 3.65183i) q^{91} +(-0.0640612 - 0.0881727i) q^{92} +0.505276i q^{93} +(-1.86569 + 1.35550i) q^{94} +(-5.36778 - 0.725166i) q^{95} +(1.13036 + 0.821256i) q^{96} +(2.98577 - 4.10956i) q^{97} +(0.798956 + 0.259597i) q^{98} +15.5363 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 56 q + 12 q^{4} - 6 q^{5} + 6 q^{9}+O(q^{10}) $ 56 * q + 12 * q^4 - 6 * q^5 + 6 * q^9	$ 56 q + 12 q^{4} - 6 q^{5} + 6 q^{9} - 4 q^{10} + 8 q^{11} - 40 q^{12} - 4 q^{14} - 18 q^{15} - 32 q^{16} + 12 q^{19} + 12 q^{20} + 4 q^{21} - 30 q^{22} + 10 q^{23} - 28 q^{24} + 4 q^{25} + 12 q^{26} + 30 q^{27} - 2 q^{29} + 28 q^{30} + 12 q^{31} + 20 q^{33} + 2 q^{35} - 14 q^{36} - 70 q^{37} - 70 q^{38} - 4 q^{39} - 30 q^{40} + 4 q^{41} + 50 q^{42} + 22 q^{44} - 52 q^{45} - 4 q^{46} - 10 q^{47} + 30 q^{48} - 56 q^{49} - 54 q^{50} - 44 q^{51} - 20 q^{53} + 54 q^{54} - 2 q^{55} + 12 q^{56} + 10 q^{58} - 6 q^{59} + 16 q^{60} - 4 q^{61} + 50 q^{62} + 20 q^{63} + 24 q^{64} - 18 q^{65} - 74 q^{66} + 10 q^{67} - 78 q^{69} + 8 q^{70} - 8 q^{71} + 140 q^{72} + 40 q^{73} + 60 q^{74} - 8 q^{75} + 52 q^{76} - 20 q^{77} - 90 q^{78} + 124 q^{80} - 72 q^{81} - 30 q^{83} - 12 q^{84} + 96 q^{85} - 20 q^{86} + 30 q^{87} + 140 q^{88} + 38 q^{89} - 8 q^{90} + 8 q^{91} + 80 q^{92} + 88 q^{94} - 70 q^{95} - 28 q^{96} - 30 q^{97} + 60 q^{99}+O(q^{100}) $ 56 * q + 12 * q^4 - 6 * q^5 + 6 * q^9 - 4 * q^10 + 8 * q^11 - 40 * q^12 - 4 * q^14 - 18 * q^15 - 32 * q^16 + 12 * q^19 + 12 * q^20 + 4 * q^21 - 30 * q^22 + 10 * q^23 - 28 * q^24 + 4 * q^25 + 12 * q^26 + 30 * q^27 - 2 * q^29 + 28 * q^30 + 12 * q^31 + 20 * q^33 + 2 * q^35 - 14 * q^36 - 70 * q^37 - 70 * q^38 - 4 * q^39 - 30 * q^40 + 4 * q^41 + 50 * q^42 + 22 * q^44 - 52 * q^45 - 4 * q^46 - 10 * q^47 + 30 * q^48 - 56 * q^49 - 54 * q^50 - 44 * q^51 - 20 * q^53 + 54 * q^54 - 2 * q^55 + 12 * q^56 + 10 * q^58 - 6 * q^59 + 16 * q^60 - 4 * q^61 + 50 * q^62 + 20 * q^63 + 24 * q^64 - 18 * q^65 - 74 * q^66 + 10 * q^67 - 78 * q^69 + 8 * q^70 - 8 * q^71 + 140 * q^72 + 40 * q^73 + 60 * q^74 - 8 * q^75 + 52 * q^76 - 20 * q^77 - 90 * q^78 + 124 * q^80 - 72 * q^81 - 30 * q^83 - 12 * q^84 + 96 * q^85 - 20 * q^86 + 30 * q^87 + 140 * q^88 + 38 * q^89 - 8 * q^90 + 8 * q^91 + 80 * q^92 + 88 * q^94 - 70 * q^95 - 28 * q^96 - 30 * q^97 + 60 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/175\mathbb{Z}\right)^\times$.

$n$	$101$	$127$
$\chi(n)$	$1$	$e\left(\frac{1}{10}\right)$

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 $

$2$	−0.798956	−	0.259597i	−0.564947	−	0.183563i	0.0125987	−	0.999921i	$-0.495990\pi$
$2$	−0.798956	−	0.259597i	−0.564947	−	0.183563i	−0.577546	+	0.816358i	$0.695990\pi$
$3$	−0.142668	+	0.196366i	−0.0823696	+	0.113372i	−0.848213	−	0.529655i	$-0.822322\pi$
$3$	−0.142668	+	0.196366i	−0.0823696	+	0.113372i	0.765844	+	0.643027i	$0.222322\pi$
$4$	−1.04709	−	0.760758i	−0.523547	−	0.380379i
$5$	1.61677	+	1.54469i	0.723041	+	0.690805i
$5$	1.61677	+	1.54469i	0.723041	+	0.690805i
$6$	0.164962	−	0.119852i	0.0673453	−	0.0489293i
$7$			1.00000i			0.377964i
$7$			1.00000i			0.377964i
$8$	1.62666	+	2.23890i	0.575110	+	0.791570i
$9$	0.908846	+	2.79714i	0.302949	+	0.932380i
$10$	−0.890733	−	1.65384i	−0.281674	−	0.522992i
$11$	1.63238	−	5.02396i	0.492182	−	1.51478i	−0.329121	−	0.944288i	$-0.606752\pi$
$11$	1.63238	−	5.02396i	0.492182	−	1.51478i	0.821303	−	0.570493i	$-0.193248\pi$
$12$	0.298774	−	0.0970776i	0.0862487	−	0.0280239i
$13$	3.65183	−	1.18655i	1.01283	−	0.329090i	0.244852	−	0.969560i	$-0.421261\pi$
$13$	3.65183	−	1.18655i	1.01283	−	0.329090i	0.767983	+	0.640470i	$0.221261\pi$
$14$	0.259597	−	0.798956i	0.0693801	−	0.213530i
$15$	−0.533986	+	0.0971010i	−0.137875	+	0.0250714i
$16$	0.0814924	+	0.250808i	0.0203731	+	0.0627019i
$17$	3.80051	+	5.23095i	0.921759	+	1.26869i	0.962988	+	0.269543i	$0.0868725\pi$
$17$	3.80051	+	5.23095i	0.921759	+	1.26869i	−0.0412295	+	0.999150i	$0.513127\pi$
$18$		−	2.47072i		−	0.582355i
$19$	−1.95972	+	1.42382i	−0.449592	+	0.326647i	−0.789435	−	0.613835i	$-0.789626\pi$
$19$	−1.95972	+	1.42382i	−0.449592	+	0.326647i	0.339843	+	0.940482i	$0.389626\pi$
$20$	−0.517777	−	2.84740i	−0.115778	−	0.636698i
$21$	−0.196366	−	0.142668i	−0.0428506	−	0.0311328i
$22$	−2.60840	+	3.59016i	−0.556114	+	0.765425i
$23$	0.0800857	+	0.0260214i	0.0166990	+	0.00542584i	0.317355	−	0.948307i	$-0.397205\pi$
$23$	0.0800857	+	0.0260214i	0.0166990	+	0.00542584i	−0.300656	+	0.953733i	$0.597205\pi$
$24$	−0.671716			−0.137114
$25$	0.227888	+	4.99480i	0.0455777	+	0.998961i
$26$	−3.22568			−0.632607
$27$	−1.37145	−	0.445612i	−0.263936	−	0.0857581i
$28$	0.760758	−	1.04709i	0.143770	−	0.197882i
$29$	−6.49487	−	4.71880i	−1.20607	−	0.876259i	−0.211199	−	0.977443i	$-0.567737\pi$
$29$	−6.49487	−	4.71880i	−1.20607	−	0.876259i	−0.994868	+	0.101184i	$0.967737\pi$
$30$	0.451838	+	0.0610415i	0.0824940	+	0.0111446i
$31$	1.68414	−	1.22360i	0.302480	−	0.219764i	−0.426183	−	0.904637i	$-0.640142\pi$
$31$	1.68414	−	1.22360i	0.302480	−	0.219764i	0.728663	+	0.684872i	$0.240142\pi$
$32$		−	5.75640i		−	1.01760i
$33$	0.753646	+	1.03730i	0.131193	+	0.180572i
$34$	−1.67850	−	5.16590i	−0.287861	−	0.885945i
$35$	−1.54469	+	1.61677i	−0.261100	+	0.273284i
$36$	1.17630	−	3.62028i	0.196050	−	0.603380i
$37$	−5.80091	+	1.88483i	−0.953663	+	0.309864i	−0.744203	−	0.667953i	$-0.767171\pi$
$37$	−5.80091	+	1.88483i	−0.953663	+	0.309864i	−0.209460	+	0.977817i	$0.567171\pi$
$38$	1.93535	−	0.628835i	0.313956	−	0.102010i
$39$	−0.288002	+	0.886379i	−0.0461172	+	0.141934i
$40$	−0.828470	+	6.13246i	−0.130993	+	0.969627i
$41$	−2.26181	−	6.96114i	−0.353236	−	1.08715i	−0.957025	−	0.290004i	$-0.906343\pi$
$41$	−2.26181	−	6.96114i	−0.353236	−	1.08715i	0.603790	−	0.797144i	$-0.293657\pi$
$42$	0.119852	+	0.164962i	0.0184935	+	0.0254541i
$43$			5.51139i			0.840479i	0.907413	+	0.420239i	$0.138054\pi$
$43$			5.51139i			0.840479i	−0.907413	+	0.420239i	$0.861946\pi$
$44$	−5.53127	+	4.01871i	−0.833871	+	0.605843i
$45$	−2.85131	+	5.92621i	−0.425048	+	0.883427i
$46$	−0.0572299	−	0.0415799i	−0.00843808	−	0.00613063i
$47$	1.61356	−	2.22087i	0.235361	−	0.323947i	−0.674956	−	0.737858i	$-0.735837\pi$
$47$	1.61356	−	2.22087i	0.235361	−	0.323947i	0.910317	+	0.413911i	$0.135837\pi$
$48$	−0.0608765	−	0.0197800i	−0.00878677	−	0.00285499i
$49$	−1.00000			−0.142857
$50$	1.11456	−	4.04979i	0.157623	−	0.572727i
$51$	−1.56939			−0.219759
$52$	−4.72648	−	1.53573i	−0.655445	−	0.212967i
$53$	−0.0659668	+	0.0907956i	−0.00906124	+	0.0124717i	−0.813524	−	0.581532i	$-0.802454\pi$
$53$	−0.0659668	+	0.0907956i	−0.00906124	+	0.0124717i	0.804462	+	0.594004i	$0.202454\pi$
$54$	0.980052	+	0.712049i	0.133368	+	0.0968976i
$55$	10.3996	−	5.60106i	1.40229	−	0.755247i
$56$	−2.23890	+	1.62666i	−0.299186	+	0.217371i
$57$		−	0.587958i		−	0.0778769i
$58$	3.96413	+	5.45616i	0.520516	+	0.716429i
$59$	−4.25222	−	13.0870i	−0.553592	−	1.70378i	−0.699634	−	0.714502i	$-0.746653\pi$
$59$	−4.25222	−	13.0870i	−0.553592	−	1.70378i	0.146042	−	0.989278i	$-0.453347\pi$
$60$	0.633003	+	0.304560i	0.0817204	+	0.0393186i
$61$	−0.611079	+	1.88071i	−0.0782407	+	0.240800i	−0.982525	−	0.186131i	$-0.940405\pi$
$61$	−0.611079	+	1.88071i	−0.0782407	+	0.240800i	0.904284	+	0.426931i	$0.140405\pi$
$62$	−1.66319	+	0.540404i	−0.211226	+	0.0686314i
$63$	−2.79714	+	0.908846i	−0.352406	+	0.114504i
$64$	−1.33136	+	4.09750i	−0.166420	+	0.512187i
$65$	7.73701	+	3.72255i	0.959658	+	0.461725i
$66$	−0.332849	−	1.02440i	−0.0409709	−	0.126095i
$67$	1.49417	+	2.05656i	0.182543	+	0.251248i	0.890475	−	0.455032i	$-0.150372\pi$
$67$	1.49417	+	2.05656i	0.182543	+	0.251248i	−0.707933	+	0.706280i	$0.750372\pi$
$68$		−	8.36856i		−	1.01484i
$69$	−0.0165354	+	0.0120137i	−0.00199063	+	0.00144628i
$70$	1.65384	−	0.890733i	0.197672	−	0.106463i
$71$	3.79809	+	2.75947i	0.450750	+	0.327489i	0.789892	−	0.613246i	$-0.210137\pi$
$71$	3.79809	+	2.75947i	0.450750	+	0.327489i	−0.339142	+	0.940735i	$0.610137\pi$
$72$	−4.78413	+	6.58480i	−0.563816	+	0.776026i
$73$	0.999769	+	0.324845i	0.117014	+	0.0380202i	0.366939	−	0.930245i	$-0.380406\pi$
$73$	0.999769	+	0.324845i	0.117014	+	0.0380202i	−0.249925	+	0.968265i	$0.580406\pi$
$74$	5.12397			0.595649
$75$	−1.01332	−	0.667851i	−0.117008	−	0.0771168i
$76$	3.13520			0.359632
$77$	5.02396	+	1.63238i	0.572533	+	0.186027i
$78$	0.460202	−	0.633413i	0.0521076	−	0.0717199i
$79$	7.89564	+	5.73652i	0.888328	+	0.645408i	0.935442	−	0.353481i	$-0.115002\pi$
$79$	7.89564	+	5.73652i	0.888328	+	0.645408i	−0.0471132	+	0.998890i	$0.515002\pi$
$80$	−0.255665	+	0.531379i	−0.0285842	+	0.0594099i
$81$	−6.85500	+	4.98045i	−0.761667	+	0.553383i
$82$			6.14881i			0.679022i
$83$	−9.08622	−	12.5061i	−0.997342	−	1.37272i	−0.926942	−	0.375204i	$-0.877573\pi$
$83$	−9.08622	−	12.5061i	−0.997342	−	1.37272i	−0.0703996	−	0.997519i	$-0.522427\pi$
$84$	0.0970776	+	0.298774i	0.0105920	+	0.0325989i
$85$	−1.93563	+	14.3278i	−0.209949	+	1.55407i
$86$	1.43074	−	4.40336i	0.154280	−	0.474826i
$87$	1.85322	−	0.602149i	0.198686	−	0.0645572i
$88$	13.9035	−	4.51751i	1.48211	−	0.481568i
$89$	0.126968	−	0.390767i	0.0134586	−	0.0414212i	−0.944102	−	0.329654i	$-0.893068\pi$
$89$	0.126968	−	0.390767i	0.0134586	−	0.0414212i	0.957560	+	0.288233i	$0.0930678\pi$
$90$	3.81649	−	3.99459i	0.402294	−	0.421067i
$91$	1.18655	+	3.65183i	0.124384	+	0.382816i
$92$	−0.0640612	−	0.0881727i	−0.00667884	−	0.00919263i
$93$			0.505276i			0.0523947i
$94$	−1.86569	+	1.35550i	−0.192431	+	0.139810i
$95$	−5.36778	−	0.725166i	−0.550723	−	0.0744004i
$96$	1.13036	+	0.821256i	0.115367	+	0.0838191i
$97$	2.98577	−	4.10956i	0.303159	−	0.417262i	−0.630074	−	0.776535i	$-0.716975\pi$
$97$	2.98577	−	4.10956i	0.303159	−	0.417262i	0.933232	+	0.359273i	$0.116975\pi$
$98$	0.798956	+	0.259597i	0.0807068	+	0.0262232i
$99$	15.5363			1.56146
$100$	3.56122	−	5.40339i	0.356122	−	0.540339i
$101$	17.2614			1.71757			0.858787	−	0.512332i	$-0.171218\pi$
$101$	17.2614			1.71757			0.858787	+	0.512332i	$0.171218\pi$
$102$	1.25388	+	0.407409i	0.124152	+	0.0403395i
$103$	4.23622	−	5.83066i	0.417407	−	0.574512i	−0.547598	−	0.836741i	$-0.684458\pi$
$103$	4.23622	−	5.83066i	0.417407	−	0.574512i	0.965006	+	0.262230i	$0.0844577\pi$
$104$	8.59684	+	6.24597i	0.842989	+	0.612467i
$105$	−0.0971010	−	0.533986i	−0.00947608	−	0.0521117i
$106$	0.0762748	−	0.0554169i	0.00740847	−	0.00538257i
$107$		−	8.85400i		−	0.855948i	−0.903791	−	0.427974i	$-0.859227\pi$
$107$		−	8.85400i		−	0.855948i	0.903791	−	0.427974i	$-0.140773\pi$
$108$	1.09704	+	1.50994i	0.105562	+	0.145294i
$109$	−3.99357	−	12.2909i	−0.382514	−	1.17726i	−0.938267	−	0.345911i	$-0.887570\pi$
$109$	−3.99357	−	12.2909i	−0.382514	−	1.17726i	0.555753	−	0.831348i	$-0.312430\pi$
$110$	−9.76286	+	1.77530i	−0.930852	+	0.169268i
$111$	0.457489	−	1.40801i	0.0434230	−	0.133642i
$112$	−0.250808	+	0.0814924i	−0.0236991	+	0.00770031i
$113$	−9.56290	+	3.10717i	−0.899602	+	0.292298i	−0.722073	−	0.691817i	$-0.756810\pi$
$113$	−9.56290	+	3.10717i	−0.899602	+	0.292298i	−0.177529	+	0.984116i	$0.556810\pi$
$114$	−0.152632	+	0.469753i	−0.0142953	+	0.0439964i
$115$	0.0892852	+	0.165778i	0.00832588	+	0.0154589i
$116$	3.21087	+	9.88205i	0.298122	+	0.917525i
$117$	6.63790	+	9.13628i	0.613674	+	0.844649i
$118$			11.5598i			1.06416i
$119$	−5.23095	+	3.80051i	−0.479521	+	0.348392i
$120$	−1.08601	−	1.03759i	−0.0991387	−	0.0947187i
$121$	−13.6763	−	9.93641i	−1.24330	−	0.903310i
$122$	0.976451	−	1.34397i	0.0884037	−	0.121677i
$123$	1.68962	+	0.548991i	0.152348	+	0.0495009i
$124$	−2.69431			−0.241956
$125$	−7.34696	+	8.42746i	−0.657132	+	0.753775i
$126$	2.47072			0.220110
$127$	−19.1228	−	6.21339i	−1.69688	−	0.551349i	−0.708815	−	0.705395i	$-0.750770\pi$
$127$	−19.1228	−	6.21339i	−1.69688	−	0.551349i	−0.988064	+	0.154046i	$0.950770\pi$
$128$	−4.63966	+	6.38595i	−0.410092	+	0.564444i
$129$	−1.08225	−	0.786301i	−0.0952868	−	0.0692299i
$130$	−5.21517	−	4.98266i	−0.457401	−	0.437008i
$131$	−3.62527	+	2.63391i	−0.316741	+	0.230126i	−0.734784	−	0.678302i	$-0.762716\pi$
$131$	−3.62527	+	2.63391i	−0.316741	+	0.230126i	0.418042	+	0.908428i	$0.362716\pi$
$132$		−	1.65950i		−	0.144441i
$133$	−1.42382	−	1.95972i	−0.123461	−	0.169930i
$134$	−0.659905	−	2.03098i	−0.0570072	−	0.175450i
$135$	−1.52899	−	2.83892i	−0.131595	−	0.244335i
$136$	−5.52946	+	17.0179i	−0.474147	+	1.45927i
$137$	−1.57203	+	0.510782i	−0.134307	+	0.0436391i	−0.375399	−	0.926863i	$-0.622494\pi$
$137$	−1.57203	+	0.510782i	−0.134307	+	0.0436391i	0.241092	+	0.970502i	$0.422494\pi$
$138$	0.0163298	−	0.00530587i	0.00139008	−	0.000451665i
$139$	−2.77849	+	8.55132i	−0.235669	+	0.725313i	0.761363	+	0.648325i	$0.224530\pi$
$139$	−2.77849	+	8.55132i	−0.235669	+	0.725313i	−0.997032	+	0.0769881i	$0.975470\pi$
$140$	2.84740	−	0.517777i	0.240649	−	0.0437601i
$141$	0.205900	+	0.633696i	0.0173399	+	0.0533668i
$142$	−2.31816	−	3.19067i	−0.194535	−	0.267755i
$143$		−	20.2835i		−	1.69619i
$144$	−0.627480	+	0.455891i	−0.0522900	+	0.0379909i
$145$	−3.21164	−	17.6617i	−0.266712	−	1.46673i
$146$	−0.714443	−	0.519073i	−0.0591277	−	0.0429588i
$147$	0.142668	−	0.196366i	0.0117671	−	0.0161960i
$148$	7.50799	+	2.43949i	0.617153	+	0.200525i
$149$	21.7551			1.78225			0.891124	−	0.453761i	$-0.149918\pi$
$149$	21.7551			1.78225			0.891124	+	0.453761i	$0.149918\pi$
$150$	0.636229	+	0.796639i	0.0519478	+	0.0650453i
$151$	−12.9857			−1.05676			−0.528382	−	0.849007i	$-0.677201\pi$
$151$	−12.9857			−1.05676			−0.528382	+	0.849007i	$0.677201\pi$
$152$	−6.37559	−	2.07156i	−0.517129	−	0.168025i
$153$	−11.1776	+	15.3847i	−0.903657	+	1.24378i
$154$	−3.59016	−	2.60840i	−0.289303	−	0.210191i
$155$	4.61293	+	0.623188i	0.370520	+	0.0500557i
$156$	0.975884	−	0.709022i	0.0781333	−	0.0567672i
$157$		−	13.4907i		−	1.07668i	−0.842728	−	0.538339i	$-0.819052\pi$
$157$		−	13.4907i		−	1.07668i	0.842728	−	0.538339i	$-0.180948\pi$
$158$	−4.81909	−	6.63290i	−0.383386	−	0.527686i
$159$	−0.00841779	−	0.0259073i	−0.000667574	−	0.00205458i
$160$	8.89184	−	9.30678i	0.702961	−	0.735765i
$161$	−0.0260214	+	0.0800857i	−0.00205077	+	0.00631163i
$162$	6.76975	−	2.19963i	0.531882	−	0.172819i
$163$	−23.3983	+	7.60256i	−1.83269	+	0.595478i	−0.833625	+	0.552331i	$0.813738\pi$
$163$	−23.3983	+	7.60256i	−1.83269	+	0.595478i	−0.999069	+	0.0431467i	$0.986262\pi$
$164$	−2.92742	+	9.00966i	−0.228593	+	0.703536i
$165$	−0.383838	+	2.84123i	−0.0298818	+	0.221189i
$166$	4.01295	+	12.3506i	0.311465	+	0.958591i
$167$	9.06147	+	12.4720i	0.701198	+	0.965116i	0.999942	+	0.0107825i	$0.00343224\pi$
$167$	9.06147	+	12.4720i	0.701198	+	0.965116i	−0.298744	+	0.954333i	$0.596568\pi$
$168$		−	0.671716i		−	0.0518240i
$169$	1.41073	−	1.02495i	0.108517	−	0.0788425i
$170$	5.26594	−	10.9448i	0.403879	−	0.839430i
$171$	−5.76372	−	4.18759i	−0.440763	−	0.320233i
$172$	4.19283	−	5.77094i	0.319700	−	0.440030i
$173$	−4.81436	−	1.56428i	−0.366029	−	0.118930i	0.120227	−	0.992746i	$-0.461638\pi$
$173$	−4.81436	−	1.56428i	−0.366029	−	0.118930i	−0.486256	+	0.873816i	$0.661638\pi$
$174$	−1.63696			−0.124098
$175$	−4.99480	+	0.227888i	−0.377572	+	0.0172267i
$176$	1.39307			0.105007
$177$	3.17650	+	1.03211i	0.238760	+	0.0775779i
$178$	−0.202883	+	0.279245i	−0.0152068	+	0.0209303i
$179$	1.12323	+	0.816077i	0.0839544	+	0.0609964i	0.628971	−	0.777429i	$-0.283477\pi$
$179$	1.12323	+	0.816077i	0.0839544	+	0.0609964i	−0.545016	+	0.838425i	$0.683477\pi$
$180$	7.49400	−	4.03614i	0.558570	−	0.300836i
$181$	2.68105	−	1.94789i	0.199281	−	0.144786i	−0.483670	−	0.875250i	$-0.660696\pi$
$181$	2.68105	−	1.94789i	0.199281	−	0.144786i	0.682950	+	0.730465i	$0.260696\pi$
$182$		−	3.22568i		−	0.239103i
$183$	−0.282126	−	0.388313i	−0.0208553	−	0.0287049i
$184$	0.0720125	+	0.221632i	0.00530883	+	0.0163389i
$185$	−12.2902	−	5.91325i	−0.903594	−	0.434751i
$186$	0.131168	−	0.403693i	0.00961770	−	0.0296002i
$187$	32.4840	−	10.5547i	2.37546	−	0.771835i
$188$	−3.37909	+	1.09793i	−0.246445	+	0.0800750i
$189$	0.445612	−	1.37145i	0.0324135	−	0.0997586i
$190$	4.10037	+	1.97283i	0.297472	+	0.143124i
$191$	−3.33993	−	10.2792i	−0.241669	−	0.743780i	−0.996166	−	0.0874775i	$-0.972119\pi$
$191$	−3.33993	−	10.2792i	−0.241669	−	0.743780i	0.754498	−	0.656303i	$-0.227881\pi$
$192$	−0.614667	−	0.846017i	−0.0443598	−	0.0610560i
$193$			14.5835i			1.04975i	0.851181	+	0.524873i	$0.175887\pi$
$193$			14.5835i			1.04975i	−0.851181	+	0.524873i	$0.824113\pi$
$194$	−3.45232	+	2.50826i	−0.247862	+	0.180083i
$195$	−1.83481	+	0.988197i	−0.131393	+	0.0707663i
$196$	1.04709	+	0.760758i	0.0747924	+	0.0543399i
$197$	−3.40931	+	4.69251i	−0.242903	+	0.334327i	−0.913010	−	0.407937i	$-0.866248\pi$
$197$	−3.40931	+	4.69251i	−0.242903	+	0.334327i	0.670107	+	0.742265i	$0.266248\pi$
$198$	−12.4128	−	4.03317i	−0.882140	−	0.286625i
$199$	4.25774			0.301823			0.150912	−	0.988547i	$-0.451779\pi$
$199$	4.25774			0.301823			0.150912	+	0.988547i	$0.451779\pi$
$200$	−10.8122	+	8.63505i	−0.764536	+	0.610590i
$201$	−0.617009			−0.0435205
$202$	−13.7911	−	4.48100i	−0.970339	−	0.315282i
$203$	4.71880	−	6.49487i	0.331195	−	0.455850i
$204$	1.64330	+	1.19393i	0.115054	+	0.0835918i
$205$	7.09595	−	14.7484i	0.495603	−	1.03007i
$206$	−4.89817	+	3.55873i	−0.341272	+	0.247949i
$207$			0.247660i			0.0172136i
$208$	0.595192	+	0.819212i	0.0412692	+	0.0568021i
$209$	3.95421	+	12.1698i	0.273518	+	0.841803i
$210$	−0.0610415	+	0.451838i	−0.00421226	+	0.0311798i
$211$	2.47813	−	7.62690i	0.170601	−	0.525057i	−0.828804	−	0.559539i	$-0.810978\pi$
$211$	2.47813	−	7.62690i	0.170601	−	0.525057i	0.999405	+	0.0344820i	$0.0109781\pi$
$212$	0.138147	−	0.0448866i	0.00948797	−	0.00308283i
$213$	−1.08373	+	0.352127i	−0.0742562	+	0.0241273i
$214$	−2.29847	+	7.07396i	−0.157120	+	0.483566i
$215$	−8.51337	+	8.91064i	−0.580607	+	0.607701i
$216$	−1.23320	−	3.79540i	−0.0839087	−	0.258245i
$217$	1.22360	+	1.68414i	0.0830632	+	0.114327i
$218$			10.8566i			0.735304i
$219$	−0.206424	+	0.149976i	−0.0139488	+	0.0101344i
$220$	−15.1504	−	2.04676i	−1.02144	−	0.137993i
$221$	20.0856	+	14.5930i	1.35110	+	0.981634i
$222$	−0.731028	+	1.00617i	−0.0490634	+	0.0675299i
$223$	1.98096	+	0.643653i	0.132655	+	0.0431022i	0.374592	−	0.927190i	$-0.377783\pi$
$223$	1.98096	+	0.643653i	0.132655	+	0.0431022i	−0.241937	+	0.970292i	$0.577783\pi$
$224$	5.75640			0.384616
$225$	−13.7640	+	5.17694i	−0.917603	+	0.345129i
$226$	8.44695			0.561883
$227$	21.5440	+	7.00009i	1.42993	+	0.464612i	0.918742	−	0.394858i	$-0.129206\pi$
$227$	21.5440	+	7.00009i	1.42993	+	0.464612i	0.511187	+	0.859470i	$0.329206\pi$
$228$	−0.447294	+	0.615647i	−0.0296227	+	0.0407722i
$229$	−13.0756	−	9.50001i	−0.864062	−	0.627778i	0.0649248	−	0.997890i	$-0.479319\pi$
$229$	−13.0756	−	9.50001i	−0.864062	−	0.627778i	−0.928987	+	0.370112i	$0.879319\pi$
$230$	−0.0282996	−	0.155627i	−0.00186602	−	0.0102618i
$231$	−1.03730	+	0.753646i	−0.0682496	+	0.0495863i
$232$		−	22.2172i		−	1.45863i
$233$	10.3915	+	14.3027i	0.680771	+	0.937001i	0.999943	−	0.0106961i	$-0.00340474\pi$
$233$	10.3915	+	14.3027i	0.680771	+	0.937001i	−0.319172	+	0.947697i	$0.603405\pi$
$234$	−2.93164	−	9.02266i	−0.191647	−	0.589830i
$235$	6.03930	−	1.09820i	0.393960	−	0.0716385i
$236$	−5.50356	+	16.9382i	−0.358251	+	1.10258i
$237$	−2.25291	+	0.732016i	−0.146343	+	0.0475496i
$238$	5.16590	−	1.67850i	0.334856	−	0.108801i
$239$	5.37619	−	16.5462i	0.347757	−	1.07029i	−0.612335	−	0.790599i	$-0.709770\pi$
$239$	5.37619	−	16.5462i	0.347757	−	1.07029i	0.960091	−	0.279686i	$-0.0902305\pi$
$240$	−0.0678695	−	0.126015i	−0.00438095	−	0.00813422i
$241$	7.28008	+	22.4058i	0.468951	+	1.44328i	0.853945	+	0.520364i	$0.174204\pi$
$241$	7.28008	+	22.4058i	0.468951	+	1.44328i	−0.384994	+	0.922919i	$0.625796\pi$
$242$	8.34730	+	11.4891i	0.536585	+	0.738546i
$243$		−	6.38274i		−	0.409453i
$244$	2.07062	−	1.50439i	0.132558	−	0.0963090i
$245$	−1.61677	−	1.54469i	−0.103292	−	0.0986864i
$246$	−1.20742	−	0.877240i	−0.0769821	−	0.0559308i
$247$	−5.46714	+	7.52487i	−0.347866	+	0.478796i
$248$	5.47902	+	1.78024i	0.347918	+	0.113045i
$249$	3.75209			0.237779
$250$	8.05764	−	4.82593i	0.509610	−	0.305218i
$251$	−26.9641			−1.70196			−0.850980	−	0.525198i	$-0.823991\pi$
$251$	−26.9641			−1.70196			−0.850980	+	0.525198i	$0.823991\pi$
$252$	3.62028	+	1.17630i	0.228056	+	0.0740999i
$253$	0.261461	−	0.359870i	0.0164379	−	0.0226248i
$254$	13.6653	+	9.92845i	0.857440	+	0.622967i
$255$	−2.53735	−	2.42422i	−0.158895	−	0.151811i
$256$	12.3357	−	8.96244i	0.770984	−	0.560152i
$257$		−	11.5764i		−	0.722113i	−0.932544	−	0.361057i	$-0.882416\pi$
$257$		−	11.5764i		−	0.722113i	0.932544	−	0.361057i	$-0.117584\pi$
$258$	0.660549	+	0.909168i	0.0411240	+	0.0566023i
$259$	−1.88483	−	5.80091i	−0.117118	−	0.360451i
$260$	−5.26942	−	9.78385i	−0.326795	−	0.606769i
$261$	7.29630	−	22.4557i	0.451630	−	1.38997i
$262$	3.58019	−	1.16327i	0.221185	−	0.0718672i
$263$	−6.23217	+	2.02496i	−0.384292	+	0.124864i	−0.494791	−	0.869012i	$-0.664755\pi$
$263$	−6.23217	+	2.02496i	−0.384292	+	0.124864i	0.110498	+	0.993876i	$0.464755\pi$
$264$	−1.09650	+	3.37467i	−0.0674848	+	0.207697i
$265$	−0.246904	+	0.0448974i	−0.0151672	+	0.00275803i
$266$	0.628835	+	1.93535i	0.0385563	+	0.118664i
$267$	0.0586191	+	0.0806822i	0.00358743	+	0.00493767i
$268$		−	3.29011i		−	0.200976i
$269$	4.51124	−	3.27761i	0.275055	−	0.199839i	−0.441703	−	0.897162i	$-0.645625\pi$
$269$	4.51124	−	3.27761i	0.275055	−	0.199839i	0.716758	+	0.697322i	$0.245625\pi$
$270$	0.484625	+	2.66509i	0.0294933	+	0.162192i
$271$	2.70141	+	1.96269i	0.164099	+	0.119225i	0.666804	−	0.745233i	$-0.267662\pi$
$271$	2.70141	+	1.96269i	0.164099	+	0.119225i	−0.502705	+	0.864458i	$0.667662\pi$
$272$	−1.00225	+	1.37948i	−0.0607704	+	0.0836433i
$273$	−0.886379	−	0.288002i	−0.0536461	−	0.0174307i
$274$	1.38858			0.0838870
$275$	25.4657	+	7.00853i	1.53564	+	0.422630i
$276$	0.0264536			0.00159232
$277$	2.05545	+	0.667857i	0.123500	+	0.0401276i	0.370115	−	0.928986i	$-0.379318\pi$
$277$	2.05545	+	0.667857i	0.123500	+	0.0401276i	−0.246615	+	0.969114i	$0.579318\pi$
$278$	4.43979	−	6.11084i	0.266281	−	0.366504i
$279$	4.95319	+	3.59870i	0.296540	+	0.215449i
$280$	−6.13246	−	0.828470i	−0.366484	−	0.0495105i
$281$	−0.381264	+	0.277004i	−0.0227443	+	0.0165247i	−0.599099	−	0.800675i	$-0.704475\pi$
$281$	−0.381264	+	0.277004i	−0.0227443	+	0.0165247i	0.576355	+	0.817199i	$0.304475\pi$
$282$		−	0.559746i		−	0.0333324i
$283$	7.42834	+	10.2242i	0.441569	+	0.607768i	0.970560	−	0.240860i	$-0.0774294\pi$
$283$	7.42834	+	10.2242i	0.441569	+	0.607768i	−0.528991	+	0.848628i	$0.677429\pi$
$284$	−1.87766	−	5.77885i	−0.111419	−	0.342912i
$285$	0.908211	−	0.950593i	0.0537978	−	0.0563082i
$286$	−5.26554	+	16.2057i	−0.311358	+	0.958261i
$287$	6.96114	−	2.26181i	0.410903	−	0.133511i
$288$	16.1015	−	5.23168i	0.948788	−	0.308280i
$289$	−7.66570	+	23.5926i	−0.450924	+	1.38780i
$290$	−2.01897	+	14.9447i	−0.118558	+	0.877582i
$291$	0.381003	+	1.17261i	0.0223348	+	0.0687394i
$292$	−0.799723	−	1.10072i	−0.0468003	−	0.0644150i
$293$			18.3892i			1.07431i	0.843484	+	0.537154i	$0.180501\pi$
$293$			18.3892i			1.07431i	−0.843484	+	0.537154i	$0.819499\pi$
$294$	−0.164962	+	0.119852i	−0.00962076	+	0.00698989i
$295$	13.3404	−	27.7270i	0.776710	−	1.61433i
$296$	−13.6560	−	9.92168i	−0.793740	−	0.576686i
$297$	−4.47747	+	6.16271i	−0.259809	+	0.357597i
$298$	−17.3814	−	5.64755i	−1.00688	−	0.327154i
$299$	0.323335			0.0186989
$300$	0.552971	+	1.47020i	0.0319258	+	0.0848818i
$301$	−5.51139			−0.317671
$302$	10.3750	+	3.37105i	0.597016	+	0.193982i
$303$	−2.46266	+	3.38956i	−0.141476	+	0.194725i
$304$	−0.516809	−	0.375483i	−0.0296410	−	0.0215355i
$305$	−3.89308	+	2.09675i	−0.222917	+	0.120059i
$306$	12.9242	−	9.39001i	0.738830	−	0.536791i
$307$			5.09434i			0.290749i	0.989377	+	0.145375i	$0.0464388\pi$
$307$			5.09434i			0.290749i	−0.989377	+	0.145375i	$0.953561\pi$
$308$	−4.01871	−	5.53127i	−0.228987	−	0.315174i
$309$	0.540569	+	1.66370i	0.0307519	+	0.0946446i
$310$	−3.52375	−	1.69540i	−0.200136	−	0.0962924i
$311$	−0.205838	+	0.633504i	−0.0116720	+	0.0359227i	−0.956723	−	0.291001i	$-0.906012\pi$
$311$	−0.205838	+	0.633504i	−0.0116720	+	0.0359227i	0.945051	+	0.326923i	$0.106012\pi$
$312$	−2.45299	+	0.797026i	−0.138873	+	0.0451227i
$313$	1.56090	−	0.507166i	0.0882271	−	0.0286667i	−0.264571	−	0.964366i	$-0.585230\pi$
$313$	1.56090	−	0.507166i	0.0882271	−	0.0286667i	0.352798	+	0.935700i	$0.385230\pi$
$314$	−3.50215	+	10.7785i	−0.197638	+	0.608267i
$315$	−5.92621	−	2.85131i	−0.333904	−	0.160653i
$316$	−3.90337	−	12.0133i	−0.219582	−	0.675803i
$317$	−14.8078	−	20.3811i	−0.831686	−	1.14472i	−0.987607	−	0.156949i	$-0.949834\pi$
$317$	−14.8078	−	20.3811i	−0.831686	−	1.14472i	0.155920	−	0.987770i	$-0.450166\pi$
$318$			0.0228840i			0.00128327i
$319$	−34.3092	+	24.9271i	−1.92094	+	1.39565i
$320$	−8.48185	+	4.56818i	−0.474150	+	0.255369i
$321$	1.73863	+	1.26319i	0.0970406	+	0.0705041i
$322$	0.0415799	−	0.0572299i	0.00231716	−	0.00318930i
$323$	−14.8959	−	4.83997i	−0.828830	−	0.269303i
$324$	10.9667			0.609263
$325$	6.75880	+	17.9698i	0.374911	+	0.996783i
$326$	20.6678			1.14468
$327$	2.98328	+	0.969326i	0.164976	+	0.0536039i
$328$	11.9061	−	16.3874i	0.657405	−	0.904840i
$329$	2.22087	+	1.61356i	0.122441	+	0.0889583i
$330$	1.04424	−	2.17037i	0.0574837	−	0.119475i
$331$	4.28833	−	3.11566i	0.235708	−	0.171252i	−0.463661	−	0.886013i	$-0.653464\pi$
$331$	4.28833	−	3.11566i	0.235708	−	0.171252i	0.699369	+	0.714761i	$0.253464\pi$
$332$			20.0075i			1.09805i
$333$	−10.5443	−	14.5129i	−0.577822	−	0.795304i
$334$	−4.00202	−	12.3169i	−0.218981	−	0.673953i
$335$	−0.760996	+	5.63301i	−0.0415777	+	0.307764i
$336$	0.0197800	−	0.0608765i	0.00107909	−	0.00332109i
$337$	−2.90340	+	0.943371i	−0.158158	+	0.0513887i	−0.387026	−	0.922069i	$-0.626498\pi$
$337$	−2.90340	+	0.943371i	−0.158158	+	0.0513887i	0.228868	+	0.973457i	$0.426498\pi$
$338$	−1.39318	+	0.452672i	−0.0757791	+	0.0246221i
$339$	0.754179	−	2.32112i	0.0409614	−	0.126066i
$340$	12.9268	−	13.5300i	0.701055	−	0.733769i
$341$	−3.39814	−	10.4584i	−0.184020	−	0.566355i
$342$	3.51788	+	4.84194i	0.190225	+	0.261822i
$343$		−	1.00000i		−	0.0539949i
$344$	−12.3394	+	8.96513i	−0.665298	+	0.483367i
$345$	−0.0452913	−	0.00611867i	−0.00243840	−	0.000329418i
$346$	3.44038	+	2.49958i	0.184956	+	0.134378i
$347$	1.04398	−	1.43691i	0.0560437	−	0.0771376i	−0.780075	−	0.625686i	$-0.784819\pi$
$347$	1.04398	−	1.43691i	0.0560437	−	0.0771376i	0.836119	+	0.548548i	$0.184819\pi$
$348$	−2.39859	−	0.779349i	−0.128578	−	0.0417775i
$349$	29.3746			1.57239			0.786194	−	0.617980i	$-0.212049\pi$
$349$	29.3746			1.57239			0.786194	+	0.617980i	$0.212049\pi$
$350$	4.04979	+	1.11456i	0.216470	+	0.0595758i
$351$	−5.53705			−0.295546
$352$	−28.9199	−	9.39665i	−1.54144	−	0.500843i
$353$	8.54825	−	11.7657i	0.454977	−	0.626223i	−0.518480	−	0.855090i	$-0.673502\pi$
$353$	8.54825	−	11.7657i	0.454977	−	0.626223i	0.973458	+	0.228867i	$0.0735021\pi$
$354$	−2.26995	−	1.64922i	−0.120647	−	0.0876548i
$355$	1.87811	+	10.3283i	0.0996800	+	0.548169i
$356$	−0.430226	+	0.312578i	−0.0228019	+	0.0165666i
$357$		−	1.56939i		−	0.0830611i
$358$	−0.685563	−	0.943597i	−0.0362332	−	0.0498707i
$359$	−3.76006	−	11.5723i	−0.198449	−	0.610762i	−0.999919	−	0.0127275i	$-0.995949\pi$
$359$	−3.76006	−	11.5723i	−0.198449	−	0.610762i	0.801470	−	0.598034i	$-0.204051\pi$
$360$	−17.9063	+	3.25611i	−0.943744	+	0.171612i
$361$	−4.05808	+	12.4895i	−0.213583	+	0.657341i
$362$	−2.64770	+	0.860291i	−0.139160	+	0.0452159i
$363$	3.90235	−	1.26795i	0.204820	−	0.0665501i
$364$	1.53573	−	4.72648i	0.0804940	−	0.247735i
$365$	1.11461	+	2.06953i	0.0583415	+	0.108324i
$366$	0.124601	+	0.383484i	0.00651302	+	0.0200450i
$367$	2.34425	+	3.22658i	0.122369	+	0.168426i	0.865806	−	0.500379i	$-0.166806\pi$
$367$	2.34425	+	3.22658i	0.122369	+	0.168426i	−0.743438	+	0.668805i	$0.766806\pi$
$368$			0.0222067i			0.00115760i
$369$	17.4156	−	12.6532i	0.906622	−	0.658700i
$370$	8.28427	+	7.91492i	0.430679	+	0.411477i
$371$	−0.0907956	−	0.0659668i	−0.00471387	−	0.00342483i
$372$	0.384393	−	0.529071i	0.0199298	−	0.0274311i
$373$	23.9802	+	7.79165i	1.24165	+	0.403436i	0.854921	−	0.518758i	$-0.173605\pi$
$373$	23.9802	+	7.79165i	1.24165	+	0.403436i	0.386728	+	0.922194i	$0.373605\pi$
$374$	−28.6932			−1.48369
$375$	−0.606689	−	2.64503i	−0.0313293	−	0.136589i
$376$	7.59701			0.391786
$377$	−29.3172	−	9.52575i	−1.50991	−	0.490601i
$378$	−0.712049	+	0.980052i	−0.0366239	+	0.0504084i
$379$	9.32001	+	6.77138i	0.478737	+	0.347822i	0.800836	−	0.598883i	$-0.204389\pi$
$379$	9.32001	+	6.77138i	0.478737	+	0.347822i	−0.322100	+	0.946706i	$0.604389\pi$
$380$	5.06890	+	4.84290i	0.260029	+	0.248436i
$381$	3.94832	−	2.86863i	0.202279	−	0.146964i
$382$			9.07970i			0.464558i
$383$	−5.39045	−	7.41931i	−0.275439	−	0.379109i	0.648778	−	0.760978i	$-0.275281\pi$
$383$	−5.39045	−	7.41931i	−0.275439	−	0.379109i	−0.924217	+	0.381869i	$0.875281\pi$
$384$	−0.592051	−	1.82215i	−0.0302130	−	0.0929860i
$385$	5.60106	+	10.3996i	0.285457	+	0.530014i
$386$	3.78584	−	11.6516i	0.192694	−	0.593051i
$387$	−15.4161	+	5.00900i	−0.783645	+	0.254622i
$388$	−6.25275	+	2.03164i	−0.317436	+	0.103141i
$389$	11.8451	−	36.4555i	0.600570	−	1.84837i	0.0757984	−	0.997123i	$-0.475849\pi$
$389$	11.8451	−	36.4555i	0.600570	−	1.84837i	0.524772	−	0.851243i	$-0.324151\pi$
$390$	1.72246	−	0.313216i	0.0872204	−	0.0158603i
$391$	0.168250	+	0.517819i	0.00850875	+	0.0261872i
$392$	−1.62666	−	2.23890i	−0.0821585	−	0.113081i
$393$		−	1.08766i		−	0.0548650i
$394$	3.94204	−	2.86406i	0.198597	−	0.144289i
$395$	3.90431	+	21.4709i	0.196447	+	1.08032i
$396$	−16.2680	−	11.8194i	−0.817495	−	0.593945i
$397$	−14.9437	+	20.5682i	−0.750001	+	1.03229i	0.247979	+	0.968765i	$0.420234\pi$
$397$	−14.9437	+	20.5682i	−0.750001	+	1.03229i	−0.997980	+	0.0635229i	$0.979766\pi$
$398$	−3.40175	−	1.10530i	−0.170514	−	0.0554034i
$399$	0.587958			0.0294347
$400$	−1.23416	+	0.464195i	−0.0617082	+	0.0232097i
$401$	8.43907			0.421427			0.210714	−	0.977548i	$-0.432421\pi$
$401$	8.43907			0.421427			0.210714	+	0.977548i	$0.432421\pi$
$402$	0.492963	+	0.160173i	0.0245868	+	0.00798873i
$403$	4.69832	−	6.46668i	0.234040	−	0.322128i
$404$	−18.0743	−	13.1318i	−0.899231	−	0.653329i
$405$	−18.7762	−	2.53659i	−0.932996	−	0.126044i
$406$	−5.45616	+	3.96413i	−0.270785	+	0.196737i
$407$			32.2203i			1.59710i
$408$	−2.55286	−	3.51372i	−0.126386	−	0.173955i
$409$	−9.39061	−	28.9013i	−0.464336	−	1.42908i	−0.859816	−	0.510604i	$-0.829422\pi$
$409$	−9.39061	−	28.9013i	−0.464336	−	1.42908i	0.395480	−	0.918474i	$-0.370578\pi$
$410$	−9.49798	+	9.94120i	−0.469072	+	0.490961i
$411$	0.123978	−	0.381565i	0.00611539	−	0.0188212i
$412$	−8.87144	+	2.88251i	−0.437065	+	0.142011i
$413$	13.0870	−	4.25222i	0.643968	−	0.209238i
$414$	0.0642917	−	0.197870i	0.00315977	−	0.00972476i
$415$	4.62769	−	34.2548i	0.227164	−	1.68150i
$416$	−6.83027	−	21.0214i	−0.334881	−	1.03066i
$417$	−1.28279	−	1.76560i	−0.0628183	−	0.0864620i
$418$		−	10.7496i		−	0.525782i
$419$	−13.1211	+	9.53304i	−0.641008	+	0.465719i	−0.860196	−	0.509963i	$-0.829659\pi$
$419$	−13.1211	+	9.53304i	−0.641008	+	0.465719i	0.219188	+	0.975683i	$0.429659\pi$
$420$	−0.304560	+	0.633003i	−0.0148610	+	0.0308874i
$421$	7.38711	+	5.36705i	0.360026	+	0.261574i	0.753063	−	0.657949i	$-0.228576\pi$
$421$	7.38711	+	5.36705i	0.360026	+	0.261574i	−0.393037	+	0.919523i	$0.628576\pi$
$422$	−3.95983	+	5.45024i	−0.192762	+	0.265314i
$423$	7.67856	+	2.49491i	0.373344	+	0.121307i
$424$	−0.310587			−0.0150835
$425$	−25.2615	+	20.1749i	−1.22536	+	0.978625i
$426$	0.957267			0.0463797
$427$	−1.88071	−	0.611079i	−0.0910139	−	0.0295722i
$428$	−6.73575	+	9.27096i	−0.325585	+	0.448129i
$429$	3.98300	+	2.89382i	0.192301	+	0.139715i
$430$	9.11498	−	4.90917i	0.439563	−	0.236741i
$431$	−11.0051	+	7.99569i	−0.530098	+	0.385139i	−0.820395	−	0.571798i	$-0.806246\pi$
$431$	−11.0051	+	7.99569i	−0.530098	+	0.385139i	0.290296	+	0.956937i	$0.406246\pi$
$432$		−	0.380285i		−	0.0182965i
$433$	9.54506	+	13.1376i	0.458706	+	0.631355i	0.974240	−	0.225514i	$-0.0724063\pi$
$433$	9.54506	+	13.1376i	0.458706	+	0.631355i	−0.515534	+	0.856869i	$0.672406\pi$
$434$	−0.540404	−	1.66319i	−0.0259402	−	0.0798358i
$435$	3.92637	+	1.88911i	0.188255	+	0.0905761i
$436$	−5.16879	+	15.9079i	−0.247540	+	0.761850i
$437$	−0.193996	+	0.0630330i	−0.00928007	+	0.00301528i
$438$	0.203857	−	0.0662371i	0.00974065	−	0.00316493i
$439$	−4.68571	+	14.4211i	−0.223637	+	0.688283i	0.774790	+	0.632218i	$0.217855\pi$
$439$	−4.68571	+	14.4211i	−0.223637	+	0.688283i	−0.998427	+	0.0560649i	$0.982145\pi$
$440$	29.4568	+	14.1727i	1.40430	+	0.675658i
$441$	−0.908846	−	2.79714i	−0.0432784	−	0.133197i
$442$	−12.2592	−	16.8734i	−0.583111	−	0.802584i
$443$			15.2341i			0.723792i	0.932218	+	0.361896i	$0.117870\pi$
$443$			15.2341i			0.723792i	−0.932218	+	0.361896i	$0.882130\pi$
$444$	−1.55019	+	1.12628i	−0.0735686	+	0.0534507i
$445$	0.808890	−	0.435655i	0.0383451	−	0.0206520i
$446$	−1.41561	−	1.02850i	−0.0670311	−	0.0487009i
$447$	−3.10376	+	4.27196i	−0.146803	+	0.202057i
$448$	−4.09750	−	1.33136i	−0.193589	−	0.0629007i
$449$	−16.2846			−0.768518			−0.384259	−	0.923225i	$-0.625543\pi$
$449$	−16.2846			−0.768518			−0.384259	+	0.923225i	$0.625543\pi$
$450$	12.3408	−	0.563049i	0.581750	−	0.0265424i
$451$	−38.6646			−1.82065
$452$	12.3771	+	4.02155i	0.582168	+	0.189158i
$453$	1.85265	−	2.54996i	0.0870453	−	0.119808i
$454$	−15.3956	−	11.1855i	−0.722549	−	0.524963i
$455$	−3.72255	+	7.73701i	−0.174516	+	0.362717i
$456$	1.31638	−	0.956405i	0.0616451	−	0.0447878i
$457$			5.22596i			0.244460i	0.992502	+	0.122230i	$0.0390046\pi$
$457$			5.22596i			0.244460i	−0.992502	+	0.122230i	$0.960995\pi$
$458$	7.98069	+	10.9845i	0.372913	+	0.513271i
$459$	−2.88125	−	8.86756i	−0.134485	−	0.413902i
$460$	0.0326269	−	0.241509i	0.00152124	−	0.0112604i
$461$	10.3761	−	31.9343i	0.483262	−	1.48733i	−0.351221	−	0.936292i	$-0.614234\pi$
$461$	10.3761	−	31.9343i	0.483262	−	1.48733i	0.834483	−	0.551034i	$-0.185766\pi$
$462$	1.02440	−	0.332849i	0.0476596	−	0.0154855i
$463$	18.9602	−	6.16055i	0.881157	−	0.286305i	0.166719	−	0.986004i	$-0.446683\pi$
$463$	18.9602	−	6.16055i	0.881157	−	0.286305i	0.714438	+	0.699699i	$0.246683\pi$
$464$	0.654229	−	2.01351i	0.0303718	−	0.0934748i
$465$	−0.780493	+	0.816915i	−0.0361945	+	0.0378835i
$466$	−4.58943	−	14.1248i	−0.212601	−	0.654320i
$467$	7.66842	+	10.5547i	0.354852	+	0.488412i	0.948705	−	0.316161i	$-0.102394\pi$
$467$	7.66842	+	10.5547i	0.354852	+	0.488412i	−0.593853	+	0.804573i	$0.702394\pi$
$468$		−	14.6164i		−	0.675642i
$469$	−2.05656	+	1.49417i	−0.0949629	+	0.0689946i
$470$	−5.11022	−	0.690370i	−0.235717	−	0.0318444i
$471$	2.64913	+	1.92470i	0.122065	+	0.0886856i
$472$	22.3835	−	30.8083i	1.03029	−	1.41807i
$473$	27.6890	+	8.99670i	1.27314	+	0.413669i
$474$	1.99001			0.0914041
$475$	−7.55832	−	9.46397i	−0.346799	−	0.434237i
$476$	8.36856			0.383573
$477$	−0.313922	−	0.101999i	−0.0143735	−	0.00467023i
$478$	−8.59068	+	11.8241i	−0.392928	+	0.540820i
$479$	22.7872	+	16.5558i	1.04117	+	0.756456i	0.970514	−	0.241045i	$-0.0774900\pi$
$479$	22.7872	+	16.5558i	1.04117	+	0.756456i	0.0706582	+	0.997501i	$0.477490\pi$
$480$	0.558952	+	3.07384i	0.0255126	+	0.140301i
$481$	−18.9475	+	13.7661i	−0.863930	+	0.627682i
$482$		−	19.7911i		−	0.901461i
$483$	−0.0120137	−	0.0165354i	−0.000546641	−	0.000752387i
$484$	6.76116	+	20.8087i	0.307325	+	0.945850i
$485$	11.1753	−	2.03213i	0.507443	−	0.0922743i
$486$	−1.65694	+	5.09953i	−0.0751602	+	0.231319i
$487$	8.50465	−	2.76333i	0.385382	−	0.125218i	−0.109917	−	0.993941i	$-0.535058\pi$
$487$	8.50465	−	2.76333i	0.385382	−	0.125218i	0.495299	+	0.868722i	$0.335058\pi$
$488$	−5.20473	+	1.69112i	−0.235607	+	0.0765534i
$489$	1.84531	−	5.67927i	0.0834476	−	0.256825i
$490$	0.890733	+	1.65384i	0.0402392	+	0.0747131i
$491$	0.577076	+	1.77606i	0.0260431	+	0.0801523i	0.963233	−	0.268666i	$-0.0865829\pi$
$491$	0.577076	+	1.77606i	0.0260431	+	0.0801523i	−0.937190	+	0.348819i	$0.886583\pi$
$492$	−1.35154	−	1.86024i	−0.0609322	−	0.0838660i
$493$		−	51.9082i		−	2.33783i
$494$	6.32143	−	4.59279i	0.284415	−	0.206639i
$495$	25.1186	+	23.9987i	1.12900	+	1.07866i
$496$	0.444132	+	0.322681i	0.0199421	+	0.0144888i
$497$	−2.75947	+	3.79809i	−0.123779	+	0.170368i
$498$	−2.99776	−	0.974030i	−0.134333	−	0.0436473i
$499$	−30.1586			−1.35009			−0.675043	−	0.737778i	$-0.735875\pi$
$499$	−30.1586			−1.35009			−0.675043	+	0.737778i	$0.735875\pi$
$500$	14.1042	−	3.23508i	0.630760	−	0.144677i
$501$	−3.74187			−0.167174
$502$	21.5432	+	6.99980i	0.961518	+	0.312416i
$503$	−3.50991	+	4.83098i	−0.156499	+	0.215403i	−0.880066	−	0.474852i	$-0.842502\pi$
$503$	−3.50991	+	4.83098i	−0.156499	+	0.215403i	0.723566	+	0.690255i	$0.242502\pi$
$504$	−6.58480	−	4.78413i	−0.293310	−	0.213102i
$505$	27.9077	+	26.6635i	1.24188	+	1.18651i
$506$	−0.302317	+	0.219646i	−0.0134396	+	0.00976446i
$507$			0.423247i			0.0187971i
$508$	15.2965	+	21.0539i	0.678674	+	0.934114i
$509$	2.58255	+	7.94826i	0.114469	+	0.352301i	0.991836	−	0.127520i	$-0.0407017\pi$
$509$	2.58255	+	7.94826i	0.114469	+	0.352301i	−0.877367	+	0.479821i	$0.840702\pi$
$510$	1.39791	+	2.59553i	0.0619005	+	0.114932i
$511$	−0.324845	+	0.999769i	−0.0143703	+	0.0442272i
$512$	2.83194	−	0.920152i	0.125155	−	0.0406654i
$513$	3.32214	−	1.07943i	0.146676	−	0.0476580i
$514$	−3.00518	+	9.24900i	−0.132553	+	0.407956i
$515$	15.8555	−	2.88320i	0.698678	−	0.127049i
$516$	0.535032	+	1.64666i	0.0235535	+	0.0724902i
$517$	−8.52362	−	11.7318i	−0.374868	−	0.515962i
$518$			5.12397i			0.225134i
$519$	0.994028	−	0.722204i	0.0436330	−	0.0317012i
$520$	4.25104	+	23.3777i	0.186421	+	1.02518i
$521$	26.0597	+	18.9335i	1.14170	+	0.829492i	0.987355	−	0.158525i	$-0.0506739\pi$
$521$	26.0597	+	18.9335i	1.14170	+	0.829492i	0.154343	+	0.988017i	$0.450674\pi$
$522$	−11.6589	+	16.0470i	−0.510294	+	0.702359i
$523$	41.2068	+	13.3889i	1.80185	+	0.585456i	0.999928	−	0.0119756i	$-0.00381205\pi$
$523$	41.2068	+	13.3889i	1.80185	+	0.585456i	0.801920	+	0.597432i	$0.203812\pi$
$524$	5.79977			0.253364
$525$	0.667851	−	1.01332i	0.0291474	−	0.0442250i
$526$	5.50491			0.240025
$527$	12.8012	+	4.15935i	0.557627	+	0.181184i
$528$	−0.198748	+	0.273553i	−0.00864938	+	0.0119049i
$529$	−18.6017	−	13.5149i	−0.808768	−	0.587604i
$530$	0.208921	+	0.0282243i	0.00907493	+	0.00122599i
$531$	32.7415	−	23.7881i	1.42086	−	1.03232i
$532$			3.13520i			0.135928i
$533$	−16.5195	−	22.7371i	−0.715539	−	0.984855i
$534$	−0.0258892	−	0.0796789i	−0.00112034	−	0.00344804i
$535$	13.6766	−	14.3149i	0.591293	−	0.618886i
$536$	−2.17391	+	6.69062i	−0.0938987	+	0.288991i
$537$	−0.320500	+	0.104137i	−0.0138306	+	0.00449383i
$538$	−4.45514	+	1.44756i	−0.192075	+	0.0624088i
$539$	−1.63238	+	5.02396i	−0.0703117	+	0.216397i
$540$	−0.558730	+	4.13581i	−0.0240439	+	0.177977i
$541$	−6.75836	−	20.8001i	−0.290564	−	0.894265i	−0.984675	−	0.174397i	$-0.944202\pi$
$541$	−6.75836	−	20.8001i	−0.290564	−	0.894265i	0.694111	−	0.719868i	$-0.255798\pi$
$542$	−1.64880	−	2.26938i	−0.0708219	−	0.0974780i
$543$			0.804369i			0.0345188i
$544$	30.1115	−	21.8773i	1.29102	−	0.937980i
$545$	12.5290	−	26.0404i	0.536682	−	1.11545i
$546$	0.633413	+	0.460202i	0.0271076	+	0.0196948i
$547$	−15.4002	+	21.1966i	−0.658465	+	0.906299i	−0.999429	−	0.0337771i	$-0.989246\pi$
$547$	−15.4002	+	21.1966i	−0.658465	+	0.906299i	0.340965	+	0.940076i	$0.389246\pi$
$548$	2.03464	+	0.661095i	0.0869155	+	0.0282406i
$549$	−5.81598			−0.248220
$550$	−18.5266	−	12.2103i	−0.789976	−	0.520650i
$551$	19.4469			0.828465
$552$	−0.0537948	−	0.0174790i	−0.00228966	−	0.000743956i
$553$	−5.73652	+	7.89564i	−0.243941	+	0.335757i
$554$	−1.46884	−	1.06718i	−0.0624051	−	0.0453400i
$555$	2.91458	−	1.56975i	0.123717	−	0.0666320i
$556$	9.41482	−	6.84027i	0.399278	−	0.290092i
$557$			16.3964i			0.694738i	0.937729	+	0.347369i	$0.112925\pi$
$557$			16.3964i			0.694738i	−0.937729	+	0.347369i	$0.887075\pi$
$558$	−3.02317	−	4.16104i	−0.127981	−	0.176151i
$559$	6.53954	+	20.1266i	0.276593	+	0.851266i
$560$	−0.531379	−	0.255665i	−0.0224548	−	0.0108038i
$561$	−2.56185	+	7.88457i	−0.108161	+	0.332887i
$562$	0.376523	−	0.122340i	0.0158826	−	0.00516058i
$563$	−38.0512	+	12.3636i	−1.60367	+	0.521064i	−0.968011	−	0.250907i	$-0.919271\pi$
$563$	−38.0512	+	12.3636i	−1.60367	+	0.521064i	−0.635658	+	0.771971i	$0.719271\pi$
$564$	0.266492	−	0.820179i	0.0112213	−	0.0345358i
$565$	−20.2606	−	9.74810i	−0.852371	−	0.410105i
$566$	−3.28074	−	10.0971i	−0.137900	−	0.424412i
$567$	−4.98045	−	6.85500i	−0.209159	−	0.287883i
$568$			12.9923i			0.545143i
$569$	9.63176	−	6.99788i	0.403784	−	0.293366i	−0.367296	−	0.930104i	$-0.619717\pi$
$569$	9.63176	−	6.99788i	0.403784	−	0.293366i	0.771081	+	0.636738i	$0.219717\pi$
$570$	−0.972391	+	0.523713i	−0.0407290	+	0.0219359i
$571$	10.3771	+	7.53943i	0.434269	+	0.315515i	0.783354	−	0.621576i	$-0.213507\pi$
$571$	10.3771	+	7.53943i	0.434269	+	0.315515i	−0.349084	+	0.937091i	$0.613507\pi$
$572$	−15.4309	+	21.2388i	−0.645197	+	0.888037i
$573$	2.49500	+	0.810674i	0.104230	+	0.0338664i
$574$	−6.14881			−0.256646
$575$	−0.111721	+	0.405942i	−0.00465910	+	0.0169290i
$576$	−12.6713			−0.527970
$577$	−13.7468	−	4.46660i	−0.572286	−	0.185947i	0.00855609	−	0.999963i	$-0.497276\pi$
$577$	−13.7468	−	4.46660i	−0.572286	−	0.185947i	−0.580842	+	0.814017i	$0.697276\pi$
$578$	12.2491	−	16.8595i	0.509496	−	0.701261i
$579$	−2.86371	−	2.08061i	−0.119012	−	0.0864671i
$580$	−10.0734	+	20.9368i	−0.418276	+	0.869353i
$581$	12.5061	−	9.08622i	0.518841	−	0.376960i
$582$		−	1.03577i		−	0.0429340i
$583$	0.348470	+	0.479628i	0.0144322	+	0.0198642i
$584$	0.898985	+	2.76679i	0.0372003	+	0.114491i
$585$	−3.38074	+	25.0247i	−0.139776	+	1.03465i
$586$	4.77377	−	14.6922i	0.197203	−	0.606927i
$587$	11.7523	−	3.81854i	0.485067	−	0.157608i	−0.0562663	−	0.998416i	$-0.517920\pi$
$587$	11.7523	−	3.81854i	0.485067	−	0.157608i	0.541334	+	0.840808i	$0.317920\pi$
$588$	−0.298774	+	0.0970776i	−0.0123212	+	0.00400341i
$589$	−1.55826	+	4.79583i	−0.0642069	+	0.197609i
$590$	−17.8562	+	18.6895i	−0.735130	+	0.769435i
$591$	−0.435049	−	1.33894i	−0.0178955	−	0.0550768i
$592$	−0.945460	−	1.30131i	−0.0388582	−	0.0534837i
$593$			19.0585i			0.782640i	0.920255	+	0.391320i	$0.127981\pi$
$593$			19.0585i			0.782640i	−0.920255	+	0.391320i	$0.872019\pi$
$594$	5.17713	−	3.76140i	0.212420	−	0.154332i
$595$	−14.3278	−	1.93563i	−0.587384	−	0.0793532i
$596$	−22.7796	−	16.5504i	−0.933090	−	0.677929i
$597$	−0.607445	+	0.836076i	−0.0248611	+	0.0342183i
$598$	−0.258330	−	0.0839366i	−0.0105639	−	0.00343242i
$599$	17.7385			0.724775			0.362387	−	0.932028i	$-0.381962\pi$
$599$	17.7385			0.724775			0.362387	+	0.932028i	$0.381962\pi$
$600$	−0.153076	−	3.35509i	−0.00624931	−	0.136971i
$601$	7.25206			0.295818			0.147909	−	0.989001i	$-0.452746\pi$
$601$	7.25206			0.295818			0.147909	+	0.989001i	$0.452746\pi$
$602$	4.40336	+	1.43074i	0.179467	+	0.0583125i
$603$	−4.39450	+	6.04851i	−0.178958	+	0.246314i
$604$	13.5973	+	9.87900i	0.553266	+	0.401971i
$605$	−6.76278	−	37.1905i	−0.274946	−	1.51201i
$606$	2.84747	−	2.06881i	0.115671	−	0.0840396i
$607$		−	29.9169i		−	1.21429i	−0.794592	−	0.607144i	$-0.792315\pi$
$607$		−	29.9169i		−	1.21429i	0.794592	−	0.607144i	$-0.207685\pi$
$608$	8.19610	+	11.2810i	0.332396	+	0.457504i
$609$	0.602149	+	1.85322i	0.0244003	+	0.0750964i
$610$	3.65471	−	0.664579i	0.147975	−	0.0269080i
$611$	3.25726	−	10.0248i	0.131774	−	0.405560i
$612$	23.4080	−	7.60573i	0.946214	−	0.307444i
$613$	23.0112	−	7.47679i	0.929413	−	0.301985i	0.195091	−	0.980785i	$-0.437500\pi$
$613$	23.0112	−	7.47679i	0.929413	−	0.301985i	0.734323	+	0.678801i	$0.237500\pi$
$614$	1.32247	−	4.07015i	0.0533707	−	0.164258i
$615$	1.88371	+	3.49753i	0.0759585	+	0.141034i
$616$	4.51751	+	13.9035i	0.182016	+	0.560186i
$617$	−4.07121	−	5.60354i	−0.163901	−	0.225590i	0.719165	−	0.694839i	$-0.244525\pi$
$617$	−4.07121	−	5.60354i	−0.163901	−	0.225590i	−0.883066	+	0.469249i	$0.844525\pi$
$618$		−	1.46955i		−	0.0591141i
$619$	−0.968900	+	0.703947i	−0.0389434	+	0.0282940i	−0.607087	−	0.794636i	$-0.707662\pi$
$619$	−0.968900	+	0.703947i	−0.0389434	+	0.0282940i	0.568143	+	0.822930i	$0.307662\pi$
$620$	−4.35608	−	4.16186i	−0.174944	−	0.167144i
$621$	−0.0982383	−	0.0713743i	−0.00394217	−	0.00286415i
$622$	0.328911	−	0.452707i	0.0131881	−	0.0181519i
$623$	0.390767	+	0.126968i	0.0156557	+	0.00508686i
$624$	−0.245781			−0.00983910
$625$	−24.8961	+	2.27651i	−0.995845	+	0.0910606i
$626$	−1.37875			−0.0551058
$627$	−2.95388	−	0.959773i	−0.117966	−	0.0383296i
$628$	−10.2632	+	14.1261i	−0.409546	+	0.563692i
$629$	−31.9059	−	23.1810i	−1.27217	−	0.924286i
$630$	3.99459	+	3.81649i	0.159148	+	0.152053i
$631$	−28.4171	+	20.6462i	−1.13126	+	0.821912i	−0.985878	−	0.167463i	$-0.946443\pi$
$631$	−28.4171	+	20.6462i	−1.13126	+	0.821912i	−0.145387	+	0.989375i	$0.546443\pi$
$632$			27.0089i			1.07436i
$633$	1.14411	+	1.57474i	0.0454744	+	0.0625902i
$634$	6.53988	+	20.1277i	0.259732	+	0.799372i
$635$	−21.3195	−	39.5844i	−0.846039	−	1.57086i
$636$	−0.0108950	+	0.0335313i	−0.000432014	+	0.00132960i
$637$	−3.65183	+	1.18655i	−0.144691	+	0.0470129i
$638$	33.8825	−	11.0091i	1.34142	−	0.435854i
$639$	−4.26675	+	13.1317i	−0.168790	+	0.519483i
$640$	−17.3656	+	3.15778i	−0.686434	+	0.124822i
$641$	−4.32485	−	13.3105i	−0.170821	−	0.525733i	0.828597	−	0.559846i	$-0.189140\pi$
$641$	−4.32485	−	13.3105i	−0.170821	−	0.525733i	−0.999418	+	0.0341123i	$0.989140\pi$
$642$	−1.06117	−	1.46057i	−0.0418809	−	0.0576441i
$643$		−	14.0091i		−	0.552464i	−0.961091	−	0.276232i	$-0.910914\pi$
$643$		−	14.0091i		−	0.552464i	0.961091	−	0.276232i	$-0.0890859\pi$
$644$	0.0881727	−	0.0640612i	0.00347449	−	0.00252436i
$645$	−0.535161	−	2.94300i	−0.0210719	−	0.115881i
$646$	10.6447	+	7.73385i	0.418811	+	0.304284i
$647$	−3.70285	+	5.09654i	−0.145574	+	0.200365i	−0.875577	−	0.483078i	$-0.839519\pi$
$647$	−3.70285	+	5.09654i	−0.145574	+	0.200365i	0.730003	+	0.683444i	$0.239519\pi$
$648$	−22.3014	−	7.24618i	−0.876084	−	0.284657i
$649$	−72.6897			−2.85332
$650$	−0.735094	−	16.1116i	−0.0288327	−	0.631950i
$651$	−0.505276			−0.0198033
$652$	30.2839	+	9.83983i	1.18601	+	0.385357i
$653$	−7.02779	+	9.67292i	−0.275019	+	0.378531i	−0.924076	−	0.382209i	$-0.875164\pi$
$653$	−7.02779	+	9.67292i	−0.275019	+	0.378531i	0.649057	+	0.760739i	$0.275164\pi$
$654$	−2.13188	−	1.54890i	−0.0833629	−	0.0605667i
$655$	−9.92979	−	1.34147i	−0.387989	−	0.0524157i
$656$	1.56159	−	1.13456i	0.0609698	−	0.0442971i
$657$			3.09173i			0.120620i
$658$	−1.35550	−	1.86569i	−0.0528431	−	0.0727322i
$659$	13.0036	+	40.0209i	0.506548	+	1.55899i	0.798153	+	0.602455i	$0.205811\pi$
$659$	13.0036	+	40.0209i	0.506548	+	1.55899i	−0.291606	+	0.956539i	$0.594189\pi$
$660$	2.56340	−	2.68302i	0.0997803	−	0.104437i
$661$	7.59651	−	23.3797i	0.295470	−	0.909363i	−0.687593	−	0.726096i	$-0.741333\pi$
$661$	7.59651	−	23.3797i	0.295470	−	0.909363i	0.983063	−	0.183267i	$-0.0586673\pi$
$662$	−4.23500	+	1.37604i	−0.164598	+	0.0534811i
$663$	−5.73116	+	1.86217i	−0.222580	+	0.0723205i
$664$	13.2198	−	40.6862i	0.513026	−	1.57893i
$665$	0.725166	−	5.36778i	0.0281207	−	0.208154i
$666$	4.65689	+	14.3324i	0.180451	+	0.555371i
$667$	−0.397356	−	0.546914i	−0.0153857	−	0.0211766i
$668$		−	19.9530i		−	0.772004i
$669$	−0.409012	+	0.297164i	−0.0158133	+	0.0114890i
$670$	2.07031	−	4.30297i	0.0799831	−	0.166238i
$671$	8.45109	+	6.14007i	0.326251	+	0.237035i
$672$	−0.821256	+	1.13036i	−0.0316807	+	0.0436047i
$673$	−34.5829	−	11.2367i	−1.33307	−	0.433142i	−0.446108	−	0.894979i	$-0.647190\pi$
$673$	−34.5829	−	11.2367i	−1.33307	−	0.433142i	−0.886965	+	0.461838i	$0.847190\pi$
$674$	2.56458			0.0987840
$675$	1.91321	−	6.95169i	0.0736394	−	0.267571i
$676$	−2.25690			−0.0868039
$677$	−36.4049	−	11.8287i	−1.39915	−	0.454613i	−0.490237	−	0.871589i	$-0.663090\pi$
$677$	−36.4049	−	11.8287i	−1.39915	−	0.454613i	−0.908917	+	0.416976i	$0.863090\pi$
$678$	−1.20511	+	1.65869i	−0.0462821	+	0.0637018i
$679$	4.10956	+	2.98577i	0.157710	+	0.114583i
$680$	−35.2272	+	18.9728i	−1.35090	+	0.727573i
$681$	−4.44823	+	3.23183i	−0.170457	+	0.123844i
$682$			9.23796i			0.353740i
$683$	−21.2390	−	29.2329i	−0.812687	−	1.11857i	−0.990903	−	0.134576i	$-0.957033\pi$
$683$	−21.2390	−	29.2329i	−0.812687	−	1.11857i	0.178217	−	0.983991i	$-0.442967\pi$
$684$	2.84941	+	8.76959i	0.108950	+	0.335314i
$685$	−3.33060	−	1.60247i	−0.127256	−	0.0612272i
$686$	−0.259597	+	0.798956i	−0.00991144	+	0.0305043i
$687$	3.73096	−	1.21226i	0.142345	−	0.0462507i
$688$	−1.38230	+	0.449136i	−0.0526997	+	0.0171232i
$689$	−0.133166	+	0.409843i	−0.00507322	+	0.0156138i
$690$	0.0345974	+	0.0166460i	0.00131710	+	0.000633703i
$691$	9.61229	+	29.5836i	0.365669	+	1.12541i	0.949561	+	0.313582i	$0.101529\pi$
$691$	9.61229	+	29.5836i	0.365669	+	1.12541i	−0.583892	+	0.811831i	$0.698471\pi$
$692$	3.85105	+	5.30051i	0.146395	+	0.201495i
$693$			15.5363i			0.590175i
$694$	−1.20711	+	0.877018i	−0.0458213	+	0.0332911i
$695$	−17.7013	+	9.53361i	−0.671448	+	0.361631i
$696$	4.36271	+	3.16969i	0.165368	+	0.120147i
$697$	27.8174	−	38.2873i	1.05366	−	1.45024i
$698$	−23.4690	−	7.62555i	−0.888316	−	0.288631i
$699$	−4.29111			−0.162304
$700$	5.40339	+	3.56122i	0.204229	+	0.134601i
$701$	−13.7696			−0.520071			−0.260035	−	0.965599i	$-0.583734\pi$
$701$	−13.7696			−0.520071			−0.260035	+	0.965599i	$0.583734\pi$
$702$	4.42386	+	1.43740i	0.166968	+	0.0542512i
$703$	8.68452	−	11.9532i	0.327543	−	0.450824i
$704$	18.4124	+	13.3774i	0.693942	+	0.504179i
$705$	−0.645968	+	1.34259i	−0.0243286	+	0.0505649i
$706$	−9.88400	+	7.18115i	−0.371989	+	0.270266i
$707$			17.2614i			0.649182i
$708$	−2.54091	−	3.49726i	−0.0954931	−	0.131435i
$709$	−4.02273	−	12.3807i	−0.151077	−	0.464966i	0.846666	−	0.532125i	$-0.178606\pi$
$709$	−4.02273	−	12.3807i	−0.151077	−	0.464966i	−0.997742	+	0.0671591i	$0.978606\pi$
$710$	1.18066	−	8.73940i	0.0443093	−	0.327984i
$711$	−8.86992	+	27.2988i	−0.332648	+	1.02378i
$712$	1.08142	−	0.351375i	0.0405280	−	0.0131683i
$713$	0.166715	−	0.0541690i	0.00624352	−	0.00202864i
$714$	−0.407409	+	1.25388i	−0.0152469	+	0.0469252i
$715$	31.3317	−	32.7938i	1.17174	−	1.22642i
$716$	−0.555293	−	1.70902i	−0.0207523	−	0.0638690i
$717$	2.48210	+	3.41632i	0.0926958	+	0.127585i
$718$			10.2218i			0.381476i
$719$	0.614735	−	0.446631i	0.0229258	−	0.0166565i	−0.576263	−	0.817264i	$-0.695490\pi$
$719$	0.614735	−	0.446631i	0.0229258	−	0.0166565i	0.599189	+	0.800608i	$0.295490\pi$
$720$	−1.71870	−	0.232189i	−0.0640522	−	0.00865318i
$721$	5.83066	+	4.23622i	0.217145	+	0.157765i
$722$	6.48445	−	8.92508i	0.241326	−	0.332157i
$723$	−5.43837	−	1.76703i	−0.202255	−	0.0657167i
$724$	−4.28918			−0.159406
$725$	22.0894	−	33.5160i	0.820379	−	1.24475i
$726$	−3.44696			−0.127929
$727$	28.5700	+	9.28296i	1.05960	+	0.344286i	0.786430	−	0.617679i	$-0.211927\pi$
$727$	28.5700	+	9.28296i	1.05960	+	0.344286i	0.273173	+	0.961965i	$0.411927\pi$
$728$	−6.24597	+	8.59684i	−0.231491	+	0.318620i
$729$	−19.3116	−	14.0307i	−0.715246	−	0.519657i
$730$	−0.353284	−	1.94281i	−0.0130756	−	0.0719067i
$731$	−28.8298	+	20.9461i	−1.06631	+	0.774719i
$732$			0.621229i			0.0229613i
$733$	23.2113	+	31.9476i	0.857328	+	1.18001i	0.982200	+	0.187838i	$0.0601479\pi$
$733$	23.2113	+	31.9476i	0.857328	+	1.18001i	−0.124872	+	0.992173i	$0.539852\pi$
$734$	−1.03534	−	3.18646i	−0.0382152	−	0.117614i
$735$	0.533986	−	0.0971010i	0.0196964	−	0.00358162i
$736$	0.149790	−	0.461005i	0.00552132	−	0.0169929i
$737$	12.7711	−	4.14959i	0.470430	−	0.152852i
$738$	−17.1991	+	5.58832i	−0.633106	+	0.205709i
$739$	−5.95191	+	18.3181i	−0.218945	+	0.673842i	0.779905	+	0.625897i	$0.215267\pi$
$739$	−5.95191	+	18.3181i	−0.218945	+	0.673842i	−0.998850	+	0.0479446i	$0.984733\pi$
$740$	8.37044	+	15.5416i	0.307703	+	0.571320i
$741$	−0.697642	−	2.14712i	−0.0256285	−	0.0788765i
$742$	0.0554169	+	0.0762748i	0.00203442	+	0.00280014i
$743$			10.2348i			0.375479i	0.982219	+	0.187740i	$0.0601161\pi$
$743$			10.2348i			0.375479i	−0.982219	+	0.187740i	$0.939884\pi$
$744$	−1.13126	+	0.821910i	−0.0414741	+	0.0301327i
$745$	35.1730	+	33.6048i	1.28864	+	1.23118i
$746$	−17.1365	−	12.4504i	−0.627410	−	0.455840i
$747$	26.7233	−	36.7815i	0.977756	−	1.34577i
$748$	−42.0433	−	13.6607i	−1.53726	−	0.499485i
$749$	8.85400			0.323518
$750$	−0.201922	+	2.27075i	−0.00737314	+	0.0829162i
$751$	−9.59669			−0.350188			−0.175094	−	0.984552i	$-0.556023\pi$
$751$	−9.59669			−0.350188			−0.175094	+	0.984552i	$0.556023\pi$
$752$	0.688504	+	0.223709i	0.0251072	+	0.00815781i
$753$	3.84693	−	5.29484i	0.140190	−	0.192955i
$754$	20.9503	+	15.2213i	0.762966	+	0.554327i
$755$	−20.9949	−	20.0589i	−0.764084	−	0.730018i
$756$	−1.50994	+	1.09704i	−0.0549161	+	0.0398988i
$757$		−	20.4009i		−	0.741482i	−0.928736	−	0.370741i	$-0.879104\pi$
$757$		−	20.4009i		−	0.741482i	0.928736	−	0.370741i	$-0.120896\pi$
$758$	−5.68845	−	7.82948i	−0.206614	−	0.284379i
$759$	0.0333641	+	0.102684i	0.00121104	+	0.00372720i
$760$	−7.10796	−	13.1975i	−0.257833	−	0.478724i
$761$	3.86534	−	11.8963i	0.140118	−	0.431240i	−0.856233	−	0.516591i	$-0.827201\pi$
$761$	3.86534	−	11.8963i	0.140118	−	0.431240i	0.996351	+	0.0853502i	$0.0272009\pi$
$762$	−3.89922	+	1.26693i	−0.141254	+	0.0458962i
$763$	12.2909	−	3.99357i	0.444962	−	0.144577i
$764$	−4.32280	+	13.3042i	−0.156393	+	0.481329i
$765$	−41.8362	+	7.60756i	−1.51259	+	0.275052i
$766$	2.38070	+	7.32705i	0.0860183	+	0.264737i
$767$	−31.0567	−	42.7459i	−1.12139	−	1.54347i
$768$			3.70098i			0.133548i
$769$	6.26584	−	4.55240i	0.225952	−	0.164164i	−0.469050	−	0.883172i	$-0.655404\pi$
$769$	6.26584	−	4.55240i	0.225952	−	0.164164i	0.695002	+	0.719008i	$0.255404\pi$
$770$	−1.77530	−	9.76286i	−0.0639772	−	0.351829i
$771$	2.27320	+	1.65158i	0.0818675	+	0.0594802i
$772$	11.0945	−	15.2703i	0.399301	−	0.549591i
$773$	35.4891	+	11.5311i	1.27645	+	0.414745i	0.867330	−	0.497733i	$-0.165834\pi$
$773$	35.4891	+	11.5311i	1.27645	+	0.414745i	0.409124	+	0.912479i	$0.365834\pi$
$774$	13.6171			0.489457
$775$	6.49542	+	8.13309i	0.233322	+	0.292149i
$776$	14.0577			0.504642
$777$	1.40801	+	0.457489i	0.0505120	+	0.0164123i
$778$	−18.9274	+	26.0514i	−0.678581	+	0.933987i
$779$	14.3440	+	10.4215i	0.513926	+	0.373389i
$780$	2.67300	+	0.361111i	0.0957086	+	0.0129298i
$781$	20.0634	−	14.5769i	0.717925	−	0.521603i
$782$		−	0.457392i		−	0.0163563i
$783$	6.80466	+	9.36580i	0.243179	+	0.334707i
$784$	−0.0814924	−	0.250808i	−0.00291044	−	0.00895742i
$785$	20.8390	−	21.8114i	0.743775	−	0.778483i
$786$	−0.282352	+	0.868989i	−0.0100712	+	0.0309958i
$787$	−43.5738	+	14.1580i	−1.55324	+	0.504678i	−0.954991	−	0.296634i	$-0.904136\pi$
$787$	−43.5738	+	14.1580i	−1.55324	+	0.504678i	−0.598247	+	0.801312i	$0.704136\pi$
$788$	7.13972	−	2.31984i	0.254342	−	0.0826408i
$789$	0.491501	−	1.51269i	0.0174979	−	0.0538530i
$790$	2.45440	−	18.1679i	0.0873237	−	0.646383i
$791$	−3.10717	−	9.56290i	−0.110478	−	0.340018i
$792$	25.2722	+	34.7842i	0.898009	+	1.23600i
$793$			7.59310i			0.269639i
$794$	17.2788	−	12.5538i	0.613201	−	0.445516i
$795$	0.0264090	−	0.0548890i	0.000936632	−	0.00194671i
$796$	−4.45825	−	3.23911i	−0.158019	−	0.114807i
$797$	20.1244	−	27.6989i	0.712844	−	0.981146i	−0.286887	−	0.957964i	$-0.592621\pi$
$797$	20.1244	−	27.6989i	0.712844	−	0.981146i	0.999731	−	0.0231812i	$-0.00737947\pi$
$798$	−0.469753	−	0.152632i	−0.0166291	−	0.00540311i
$799$	17.7496			0.627936
$800$	28.7521	−	1.31182i	1.01654	−	0.0463797i
$801$	1.20842			0.0426975
$802$	−6.74245	−	2.19075i	−0.238084	−	0.0773582i
$803$	3.26401	−	4.49253i	0.115184	−	0.158538i
$804$	0.646066	+	0.469395i	0.0227850	+	0.0165543i
$805$	−0.165778	+	0.0892852i	−0.00584290	+	0.00314689i
$806$	−5.43248	+	3.94693i	−0.191351	+	0.139025i
$807$			1.35347i			0.0476442i
$808$	28.0784	+	38.6466i	0.987794	+	1.35958i
$809$	12.9100	+	39.7328i	0.453891	+	1.39693i	0.872433	+	0.488735i	$0.162541\pi$
$809$	12.9100	+	39.7328i	0.453891	+	1.39693i	−0.418542	+	0.908198i	$0.637459\pi$
$810$	14.3429	+	6.90085i	0.503957	+	0.242471i
$811$	−4.68985	+	14.4339i	−0.164683	+	0.506841i	−0.999013	−	0.0444239i	$-0.985855\pi$
$811$	−4.68985	+	14.4339i	−0.164683	+	0.506841i	0.834330	+	0.551265i	$0.185855\pi$
$812$	−9.88205	+	3.21087i	−0.346792	+	0.112679i
$813$	−0.770810	+	0.250451i	−0.0270335	+	0.00878371i
$814$	8.36428	−	25.7426i	0.293168	−	0.902277i
$815$	−49.5732	−	23.8514i	−1.73647	−	0.835478i
$816$	−0.127894	−	0.393616i	−0.00447717	−	0.0137793i
$817$	−7.84724	−	10.8008i	−0.274540	−	0.377872i
$818$			25.5287i			0.892589i
$819$	−9.13628	+	6.63790i	−0.319247	+	0.231947i
$820$	−18.6501	+	10.0446i	−0.651288	+	0.350773i
$821$	29.6868	+	21.5687i	1.03608	+	0.752754i	0.969516	−	0.245028i	$-0.0787971\pi$
$821$	29.6868	+	21.5687i	1.03608	+	0.752754i	0.0665615	+	0.997782i	$0.478797\pi$
$822$	−0.198106	+	0.272670i	−0.00690974	+	0.00951044i
$823$	−43.4188	−	14.1076i	−1.51349	−	0.491761i	−0.569568	−	0.821944i	$-0.692890\pi$
$823$	−43.4188	−	14.1076i	−1.51349	−	0.491761i	−0.943917	+	0.330183i	$0.892890\pi$
$824$	19.9451			0.694822
$825$	−5.00939	+	4.00070i	−0.174404	+	0.139287i
$826$	−11.5598			−0.402216
$827$	3.58383	+	1.16446i	0.124622	+	0.0404921i	0.370664	−	0.928767i	$-0.379130\pi$
$827$	3.58383	+	1.16446i	0.124622	+	0.0404921i	−0.246042	+	0.969259i	$0.579130\pi$
$828$	0.188409	−	0.259323i	0.00654768	−	0.00901211i
$829$	22.1784	+	16.1135i	0.770287	+	0.559647i	0.902048	−	0.431635i	$-0.142063\pi$
$829$	22.1784	+	16.1135i	0.770287	+	0.559647i	−0.131761	+	0.991282i	$0.542063\pi$
$830$	−12.5898	+	26.1668i	−0.436997	+	0.908262i
$831$	−0.424392	+	0.308339i	−0.0147220	+	0.0106962i
$832$			16.5431i			0.573528i
$833$	−3.80051	−	5.23095i	−0.131680	−	0.181242i
$834$	0.566545	+	1.74365i	0.0196179	+	0.0603776i
$835$	−4.61509	+	34.1616i	−0.159712	+	1.18221i
$836$	5.11785	−	15.7511i	0.177004	−	0.544764i
$837$	−2.85496	+	0.927634i	−0.0986820	+	0.0320637i
$838$	12.9579	−	4.21029i	0.447624	−	0.145442i
$839$	14.7947	−	45.5336i	0.510771	−	1.57199i	−0.280075	−	0.959978i	$-0.590359\pi$
$839$	14.7947	−	45.5336i	0.510771	−	1.57199i	0.790846	−	0.612015i	$-0.209641\pi$
$840$	1.03759	−	1.08601i	0.0358003	−	0.0374709i
$841$	10.9548	+	33.7153i	0.377751	+	1.16260i
$842$	−4.50871	−	6.20571i	−0.155380	−	0.213863i
$843$		−	0.114387i		−	0.00393970i
$844$	−8.39706	+	6.10082i	−0.289039	+	0.209999i
$845$	3.86405	+	0.522017i	0.132927	+	0.0179579i
$846$	−5.48716	−	3.98665i	−0.188652	−	0.137064i
$847$	9.93641	−	13.6763i	0.341419	−	0.469923i
$848$	−0.0281480	−	0.00914585i	−0.000966607	−	0.000314070i
$849$	−3.06748			−0.105276
$850$	25.4202	−	9.56104i	0.871904	−	0.327941i
$851$	−0.513615			−0.0176065
$852$	1.40265	+	0.455750i	0.0480541	+	0.0156137i
$853$	10.2520	−	14.1106i	0.351020	−	0.483138i	−0.596599	−	0.802539i	$-0.703482\pi$
$853$	10.2520	−	14.1106i	0.351020	−	0.483138i	0.947619	+	0.319401i	$0.103482\pi$
$854$	1.34397	+	0.976451i	0.0459897	+	0.0334135i
$855$	−2.85010	−	15.6735i	−0.0974713	−	0.536022i
$856$	19.8232	−	14.4024i	0.677543	−	0.492264i
$857$			5.80956i			0.198451i	0.995065	+	0.0992254i	$0.0316365\pi$
$857$			5.80956i			0.198451i	−0.995065	+	0.0992254i	$0.968364\pi$
$858$	−2.43102	−	3.34601i	−0.0829935	−	0.114231i
$859$	14.4414	+	44.4460i	0.492733	+	1.51648i	0.820460	+	0.571705i	$0.193718\pi$
$859$	14.4414	+	44.4460i	0.492733	+	1.51648i	−0.327726	+	0.944773i	$0.606282\pi$
$860$	15.6931	−	2.85367i	0.535131	−	0.0973093i
$861$	−0.548991	+	1.68962i	−0.0187096	+	0.0575821i
$862$	10.8683	−	3.53131i	0.370175	−	0.120277i
$863$	−34.9810	+	11.3660i	−1.19077	+	0.386904i	−0.836357	−	0.548186i	$-0.815319\pi$
$863$	−34.9810	+	11.3660i	−1.19077	+	0.386904i	−0.354411	+	0.935090i	$0.615319\pi$
$864$	−2.56512	+	7.89464i	−0.0872673	+	0.268581i
$865$	−5.36739	−	9.96575i	−0.182497	−	0.338846i
$866$	−4.21560	−	12.9743i	−0.143252	−	0.440884i
$867$	−3.53914	−	4.87120i	−0.120195	−	0.165435i
$868$		−	2.69431i		−	0.0914508i
$869$	41.7087	−	30.3032i	1.41487	−	1.02796i
$870$	−2.64659	−	2.52859i	−0.0897277	−	0.0857273i
$871$	7.89668	+	5.73727i	0.267569	+	0.194400i
$872$	21.0220	−	28.9343i	0.711895	−	0.979840i
$873$	14.2086	+	4.61665i	0.480888	+	0.156250i
$874$	0.171357			0.00579625
$875$	−8.42746	−	7.34696i	−0.284900	−	0.248373i
$876$	0.330240			0.0111578
$877$	33.6096	+	10.9204i	1.13492	+	0.368756i	0.815442	−	0.578839i	$-0.196494\pi$
$877$	33.6096	+	10.9204i	1.13492	+	0.368756i	0.319473	+	0.947595i	$0.396494\pi$
$878$	7.48735	−	10.3055i	0.252686	−	0.347792i
$879$	−3.61101	−	2.62356i	−0.121796	−	0.0884903i
$880$	2.25228	+	2.15186i	0.0759244	+	0.0725393i
$881$	−15.9368	+	11.5788i	−0.536925	+	0.390099i	−0.822942	−	0.568126i	$-0.807669\pi$
$881$	−15.9368	+	11.5788i	−0.536925	+	0.390099i	0.286016	+	0.958225i	$0.407669\pi$
$882$			2.47072i			0.0831936i
$883$	−29.1231	−	40.0846i	−0.980072	−	1.34895i	−0.936791	−	0.349890i	$-0.886219\pi$
$883$	−29.1231	−	40.0846i	−0.980072	−	1.34895i	−0.0432812	−	0.999063i	$-0.513781\pi$
$884$	−9.92973	−	30.5606i	−0.333973	−	1.02786i
$885$	3.54138	+	6.57537i	0.119042	+	0.221029i
$886$	3.95471	−	12.1713i	0.132861	−	0.408904i
$887$	−29.9256	+	9.72340i	−1.00480	+	0.326480i	−0.764783	−	0.644288i	$-0.777154\pi$
$887$	−29.9256	+	9.72340i	−1.00480	+	0.326480i	−0.240019	+	0.970768i	$0.577154\pi$
$888$	3.89656	−	1.26607i	0.130760	−	0.0424865i
$889$	6.21339	−	19.1228i	0.208390	−	0.641360i
$890$	−0.759362	+	0.138084i	−0.0254539	+	0.00462858i
$891$	13.8316	+	42.5692i	0.463375	+	1.42612i
$892$	−1.58459	−	2.18100i	−0.0530559	−	0.0730251i
$893$			6.64971i			0.222524i
$894$	3.58876	−	2.60739i	0.120026	−	0.0872040i
$895$	0.555427	+	3.05445i	0.0185659	+	0.102099i
$896$	−6.38595	−	4.63966i	−0.213340	−	0.155000i
$897$	−0.0461296	+	0.0634920i	−0.00154022	+	0.00211994i
$898$	13.0107	+	4.22743i	0.434172	+	0.141071i
$899$	−16.7122			−0.557381
$900$	18.3506	+	5.05037i	0.611688	+	0.168346i
$901$	−0.725655			−0.0241751
$902$	30.8913	+	10.0372i	1.02857	+	0.334202i
$903$	0.786301	−	1.08225i	0.0261664	−	0.0360150i
$904$	−22.5122	−	16.3561i	−0.748745	−	0.543995i
$905$	7.34352	+	0.992079i	0.244107	+	0.0329778i
$906$	−2.14215	+	1.55636i	−0.0711682	+	0.0517067i
$907$			9.00934i			0.299150i	0.988750	+	0.149575i	$0.0477906\pi$
$907$			9.00934i			0.299150i	−0.988750	+	0.149575i	$0.952209\pi$
$908$	−17.2333	−	23.7196i	−0.571906	−	0.787161i
$909$	15.6880	+	48.2826i	0.520337	+	1.60143i
$910$	4.98266	−	5.21517i	0.165173	−	0.172881i
$911$	−12.0986	+	37.2355i	−0.400843	+	1.23367i	0.523473	+	0.852042i	$0.324636\pi$
$911$	−12.0986	+	37.2355i	−0.400843	+	1.23367i	−0.924317	+	0.381626i	$0.875364\pi$
$912$	0.147464	−	0.0479141i	0.00488304	−	0.00158659i
$913$	−77.6623	+	25.2340i	−2.57025	+	0.835124i
$914$	1.35664	−	4.17532i	0.0448737	−	0.138107i
$915$	0.143689	−	1.06361i	0.00475021	−	0.0351618i
$916$	6.46421	+	19.8948i	0.213583	+	0.657342i
$917$	−2.63391	−	3.62527i	−0.0869794	−	0.119717i
$918$			7.83275i			0.258519i
$919$	−7.28021	+	5.28938i	−0.240152	+	0.174481i	−0.701351	−	0.712816i	$-0.747419\pi$
$919$	−7.28021	+	5.28938i	−0.240152	+	0.174481i	0.461199	+	0.887297i	$0.347419\pi$
$920$	−0.225924	+	0.469564i	−0.00744849	+	0.0154811i
$921$	−1.00036	−	0.726801i	−0.0329628	−	0.0239489i
$922$	−16.5800	+	22.8205i	−0.546035	+	0.751552i
$923$	17.1442	+	5.57050i	0.564309	+	0.183355i
$924$	1.65950			0.0545934
$925$	−10.7363	−	28.5449i	−0.353008	−	0.938549i
$926$	−16.7477			−0.550362
$927$	20.1592	+	6.55013i	0.662116	+	0.215135i
$928$	−27.1633	+	37.3871i	−0.891679	+	1.22729i
$929$	17.3905	+	12.6349i	0.570564	+	0.414539i	0.835310	−	0.549779i	$-0.185288\pi$
$929$	17.3905	+	12.6349i	0.570564	+	0.414539i	−0.264746	+	0.964318i	$0.585288\pi$
$930$	0.835648	−	0.450066i	0.0274020	−	0.0147582i
$931$	1.95972	−	1.42382i	0.0642274	−	0.0466639i
$932$		−	22.8817i		−	0.749515i
$933$	−0.0950322	−	0.130801i	−0.00311121	−	0.00428222i
$934$	−3.38677	−	10.4234i	−0.110819	−	0.341065i
$935$	68.8228	+	33.1131i	2.25075	+	1.08291i
$936$	−9.65764	+	29.7232i	−0.315670	+	0.971532i
$937$	−28.3888	+	9.22407i	−0.927420	+	0.301337i	−0.733507	−	0.679682i	$-0.762118\pi$
$937$	−28.3888	+	9.22407i	−0.927420	+	0.301337i	−0.193913	+	0.981019i	$0.562118\pi$
$938$	2.03098	−	0.659905i	0.0663139	−	0.0215467i
$939$	−0.123100	+	0.378864i	−0.00401722	+	0.0123637i
$940$	−7.15917	−	3.44453i	−0.233506	−	0.112348i
$941$	2.95348	+	9.08989i	0.0962808	+	0.296322i	0.987585	−	0.157083i	$-0.0502091\pi$
$941$	2.95348	+	9.08989i	0.0962808	+	0.296322i	−0.891305	+	0.453405i	$0.850209\pi$
$942$	−1.61689	−	2.22546i	−0.0526811	−	0.0725093i
$943$		−	0.616343i		−	0.0200709i
$944$	2.93579	−	2.13298i	0.0955520	−	0.0694226i
$945$	2.83892	−	1.52899i	0.0923500	−	0.0497382i
$946$	−19.7868	−	14.3759i	−0.643323	−	0.467402i
$947$	19.0239	−	26.1842i	0.618194	−	0.850871i	−0.379026	−	0.925386i	$-0.623741\pi$
$947$	19.0239	−	26.1842i	0.618194	−	0.850871i	0.997220	+	0.0745152i	$0.0237409\pi$
$948$	2.91590	+	0.947433i	0.0947040	+	0.0307712i
$949$	4.03643			0.131028
$950$	3.58195	+	9.52341i	0.116214	+	0.308980i
$951$	6.11476			0.198285
$952$	−17.0179	−	5.52946i	−0.551554	−	0.179211i
$953$	17.8455	−	24.5622i	0.578071	−	0.795647i	−0.415411	−	0.909634i	$-0.636362\pi$
$953$	17.8455	−	24.5622i	0.578071	−	0.795647i	0.993482	+	0.113987i	$0.0363623\pi$
$954$	0.224331	+	0.162986i	0.00726298	+	0.00527686i
$955$	10.4783	−	21.7783i	0.339070	−	0.704730i
$956$	−18.2170	+	13.2354i	−0.589181	+	0.428065i
$957$		−	10.2935i		−	0.332740i
$958$	−13.9081	−	19.1429i	−0.449351	−	0.618478i
$959$	−0.510782	−	1.57203i	−0.0164940	−	0.0507634i
$960$	0.313055	−	2.31728i	0.0101038	−	0.0747900i
$961$	−8.24040	+	25.3613i	−0.265819	+	0.818108i
$962$	18.7118	−	6.07985i	0.603294	−	0.196022i
$963$	24.7659	−	8.04692i	0.798069	−	0.259308i
$964$	9.42245	−	28.9993i	0.303477	−	0.934005i
$965$	−22.5270	+	23.5782i	−0.725169	+	0.759010i
$966$	0.00530587	+	0.0163298i	0.000170713	+	0.000525402i
$967$	17.4802	+	24.0595i	0.562126	+	0.773701i	0.991595	−	0.129381i	$-0.0412991\pi$
$967$	17.4802	+	24.0595i	0.562126	+	0.773701i	−0.429468	+	0.903082i	$0.641299\pi$
$968$		−	46.7830i		−	1.50366i
$969$	3.07558	−	2.23454i	0.0988019	−	0.0717838i
$970$	−9.45609	−	1.27748i	−0.303617	−	0.0410174i
$971$	−8.54895	−	6.21118i	−0.274349	−	0.199326i	0.442100	−	0.896966i	$-0.354234\pi$
$971$	−8.54895	−	6.21118i	−0.274349	−	0.199326i	−0.716449	+	0.697640i	$0.754234\pi$
$972$	−4.85572	+	6.68332i	−0.155747	+	0.214368i
$973$	−8.55132	−	2.77849i	−0.274143	−	0.0890744i
$974$	−7.51219			−0.240706
$975$	−4.49292	−	1.23652i	−0.143889	−	0.0396003i
$976$	−0.521495			−0.0166926
$977$	−11.7161	−	3.80680i	−0.374832	−	0.121790i	0.115541	−	0.993303i	$-0.463140\pi$
$977$	−11.7161	−	3.80680i	−0.374832	−	0.121790i	−0.490374	+	0.871512i	$0.663140\pi$
$978$	−2.94864	+	4.05845i	−0.0942870	+	0.129775i
$979$	−1.75594	−	1.27576i	−0.0561200	−	0.0407735i
$980$	0.517777	+	2.84740i	0.0165398	+	0.0909569i
$981$	30.7499	−	22.3411i	0.981770	−	0.713297i
$982$		−	1.56880i		−	0.0500624i
$983$	−6.66884	−	9.17887i	−0.212703	−	0.292761i	0.689313	−	0.724464i	$-0.257913\pi$
$983$	−6.66884	−	9.17887i	−0.212703	−	0.292761i	−0.902016	+	0.431704i	$0.857913\pi$
$984$	1.51930	+	4.67591i	0.0484334	+	0.149063i
$985$	−12.7605	+	2.32039i	−0.406584	+	0.0739339i
$986$	−13.4752	+	41.4724i	−0.429137	+	1.32075i
$987$	−0.633696	+	0.205900i	−0.0201708	+	0.00655388i
$988$	11.4492	−	3.72007i	0.364248	−	0.118351i
$989$	−0.143414	+	0.441383i	−0.00456030	+	0.0140352i
$990$	−13.8387	−	25.6946i	−0.439822	−	0.816628i
$991$	−2.98866	−	9.19816i	−0.0949380	−	0.292189i	0.892300	−	0.451444i	$-0.149091\pi$
$991$	−2.98866	−	9.19816i	−0.0949380	−	0.292189i	−0.987238	+	0.159255i	$0.949091\pi$
$992$	−7.04352	−	9.69457i	−0.223632	−	0.307803i
$993$			1.28659i			0.0408286i
$994$	3.19067	−	2.31816i	0.101202	−	0.0735275i
$995$	6.88379	+	6.57688i	0.218231	+	0.208501i
$996$	−3.92879	−	2.85443i	−0.124488	−	0.0904462i
$997$	−19.7098	+	27.1282i	−0.624215	+	0.859159i	−0.997651	−	0.0684972i	$-0.978180\pi$
$997$	−19.7098	+	27.1282i	−0.624215	+	0.859159i	0.373436	+	0.927656i	$0.378180\pi$
$998$	24.0954	+	7.82908i	0.762727	+	0.247825i
$999$	8.79558			0.278280

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	175.2.n.a.29.6	✓	56
5.2	odd	4		875.2.h.d.351.8		56
5.3	odd	4		875.2.h.e.351.7		56
5.4	even	2		875.2.n.c.274.9		56
25.6	even	5		875.2.n.c.99.9		56
25.8	odd	20		875.2.h.e.526.7		56
25.12	odd	20		4375.2.a.p.1.16		28
25.13	odd	20		4375.2.a.o.1.13		28
25.17	odd	20		875.2.h.d.526.8		56
25.19	even	10	inner	175.2.n.a.169.6	yes	56

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
175.2.n.a.29.6	✓	56	1.1	even	1	trivial
175.2.n.a.169.6	yes	56	25.19	even	10	inner
875.2.h.d.351.8		56	5.2	odd	4
875.2.h.d.526.8		56	25.17	odd	20
875.2.h.e.351.7		56	5.3	odd	4
875.2.h.e.526.7		56	25.8	odd	20
875.2.n.c.99.9		56	25.6	even	5
875.2.n.c.274.9		56	5.4	even	2
4375.2.a.o.1.13		28	25.13	odd	20
4375.2.a.p.1.16		28	25.12	odd	20

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:	\( N \)	\(=\)	\( 175 = 5^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	175.n (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.798956 - 0.259597i) q^{2} +(-0.142668 + 0.196366i) q^{3} +(-1.04709 - 0.760758i) q^{4} +(1.61677 + 1.54469i) q^{5} +(0.164962 - 0.119852i) q^{6} +1.00000i q^{7} +(1.62666 + 2.23890i) q^{8} +(0.908846 + 2.79714i) q^{9} +O(q^{10})\)	\(q+(-0.798956 - 0.259597i) q^{2} +(-0.142668 + 0.196366i) q^{3} +(-1.04709 - 0.760758i) q^{4} +(1.61677 + 1.54469i) q^{5} +(0.164962 - 0.119852i) q^{6} +1.00000i q^{7} +(1.62666 + 2.23890i) q^{8} +(0.908846 + 2.79714i) q^{9} +(-0.890733 - 1.65384i) q^{10} +(1.63238 - 5.02396i) q^{11} +(0.298774 - 0.0970776i) q^{12} +(3.65183 - 1.18655i) q^{13} +(0.259597 - 0.798956i) q^{14} +(-0.533986 + 0.0971010i) q^{15} +(0.0814924 + 0.250808i) q^{16} +(3.80051 + 5.23095i) q^{17} -2.47072i q^{18} +(-1.95972 + 1.42382i) q^{19} +(-0.517777 - 2.84740i) q^{20} +(-0.196366 - 0.142668i) q^{21} +(-2.60840 + 3.59016i) q^{22} +(0.0800857 + 0.0260214i) q^{23} -0.671716 q^{24} +(0.227888 + 4.99480i) q^{25} -3.22568 q^{26} +(-1.37145 - 0.445612i) q^{27} +(0.760758 - 1.04709i) q^{28} +(-6.49487 - 4.71880i) q^{29} +(0.451838 + 0.0610415i) q^{30} +(1.68414 - 1.22360i) q^{31} -5.75640i q^{32} +(0.753646 + 1.03730i) q^{33} +(-1.67850 - 5.16590i) q^{34} +(-1.54469 + 1.61677i) q^{35} +(1.17630 - 3.62028i) q^{36} +(-5.80091 + 1.88483i) q^{37} +(1.93535 - 0.628835i) q^{38} +(-0.288002 + 0.886379i) q^{39} +(-0.828470 + 6.13246i) q^{40} +(-2.26181 - 6.96114i) q^{41} +(0.119852 + 0.164962i) q^{42} +5.51139i q^{43} +(-5.53127 + 4.01871i) q^{44} +(-2.85131 + 5.92621i) q^{45} +(-0.0572299 - 0.0415799i) q^{46} +(1.61356 - 2.22087i) q^{47} +(-0.0608765 - 0.0197800i) q^{48} -1.00000 q^{49} +(1.11456 - 4.04979i) q^{50} -1.56939 q^{51} +(-4.72648 - 1.53573i) q^{52} +(-0.0659668 + 0.0907956i) q^{53} +(0.980052 + 0.712049i) q^{54} +(10.3996 - 5.60106i) q^{55} +(-2.23890 + 1.62666i) q^{56} -0.587958i q^{57} +(3.96413 + 5.45616i) q^{58} +(-4.25222 - 13.0870i) q^{59} +(0.633003 + 0.304560i) q^{60} +(-0.611079 + 1.88071i) q^{61} +(-1.66319 + 0.540404i) q^{62} +(-2.79714 + 0.908846i) q^{63} +(-1.33136 + 4.09750i) q^{64} +(7.73701 + 3.72255i) q^{65} +(-0.332849 - 1.02440i) q^{66} +(1.49417 + 2.05656i) q^{67} -8.36856i q^{68} +(-0.0165354 + 0.0120137i) q^{69} +(1.65384 - 0.890733i) q^{70} +(3.79809 + 2.75947i) q^{71} +(-4.78413 + 6.58480i) q^{72} +(0.999769 + 0.324845i) q^{73} +5.12397 q^{74} +(-1.01332 - 0.667851i) q^{75} +3.13520 q^{76} +(5.02396 + 1.63238i) q^{77} +(0.460202 - 0.633413i) q^{78} +(7.89564 + 5.73652i) q^{79} +(-0.255665 + 0.531379i) q^{80} +(-6.85500 + 4.98045i) q^{81} +6.14881i q^{82} +(-9.08622 - 12.5061i) q^{83} +(0.0970776 + 0.298774i) q^{84} +(-1.93563 + 14.3278i) q^{85} +(1.43074 - 4.40336i) q^{86} +(1.85322 - 0.602149i) q^{87} +(13.9035 - 4.51751i) q^{88} +(0.126968 - 0.390767i) q^{89} +(3.81649 - 3.99459i) q^{90} +(1.18655 + 3.65183i) q^{91} +(-0.0640612 - 0.0881727i) q^{92} +0.505276i q^{93} +(-1.86569 + 1.35550i) q^{94} +(-5.36778 - 0.725166i) q^{95} +(1.13036 + 0.821256i) q^{96} +(2.98577 - 4.10956i) q^{97} +(0.798956 + 0.259597i) q^{98} +15.5363 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 56 q + 12 q^{4} - 6 q^{5} + 6 q^{9}+O(q^{10}) \) 56 * q + 12 * q^4 - 6 * q^5 + 6 * q^9	\( 56 q + 12 q^{4} - 6 q^{5} + 6 q^{9} - 4 q^{10} + 8 q^{11} - 40 q^{12} - 4 q^{14} - 18 q^{15} - 32 q^{16} + 12 q^{19} + 12 q^{20} + 4 q^{21} - 30 q^{22} + 10 q^{23} - 28 q^{24} + 4 q^{25} + 12 q^{26} + 30 q^{27} - 2 q^{29} + 28 q^{30} + 12 q^{31} + 20 q^{33} + 2 q^{35} - 14 q^{36} - 70 q^{37} - 70 q^{38} - 4 q^{39} - 30 q^{40} + 4 q^{41} + 50 q^{42} + 22 q^{44} - 52 q^{45} - 4 q^{46} - 10 q^{47} + 30 q^{48} - 56 q^{49} - 54 q^{50} - 44 q^{51} - 20 q^{53} + 54 q^{54} - 2 q^{55} + 12 q^{56} + 10 q^{58} - 6 q^{59} + 16 q^{60} - 4 q^{61} + 50 q^{62} + 20 q^{63} + 24 q^{64} - 18 q^{65} - 74 q^{66} + 10 q^{67} - 78 q^{69} + 8 q^{70} - 8 q^{71} + 140 q^{72} + 40 q^{73} + 60 q^{74} - 8 q^{75} + 52 q^{76} - 20 q^{77} - 90 q^{78} + 124 q^{80} - 72 q^{81} - 30 q^{83} - 12 q^{84} + 96 q^{85} - 20 q^{86} + 30 q^{87} + 140 q^{88} + 38 q^{89} - 8 q^{90} + 8 q^{91} + 80 q^{92} + 88 q^{94} - 70 q^{95} - 28 q^{96} - 30 q^{97} + 60 q^{99}+O(q^{100}) \) 56 * q + 12 * q^4 - 6 * q^5 + 6 * q^9 - 4 * q^10 + 8 * q^11 - 40 * q^12 - 4 * q^14 - 18 * q^15 - 32 * q^16 + 12 * q^19 + 12 * q^20 + 4 * q^21 - 30 * q^22 + 10 * q^23 - 28 * q^24 + 4 * q^25 + 12 * q^26 + 30 * q^27 - 2 * q^29 + 28 * q^30 + 12 * q^31 + 20 * q^33 + 2 * q^35 - 14 * q^36 - 70 * q^37 - 70 * q^38 - 4 * q^39 - 30 * q^40 + 4 * q^41 + 50 * q^42 + 22 * q^44 - 52 * q^45 - 4 * q^46 - 10 * q^47 + 30 * q^48 - 56 * q^49 - 54 * q^50 - 44 * q^51 - 20 * q^53 + 54 * q^54 - 2 * q^55 + 12 * q^56 + 10 * q^58 - 6 * q^59 + 16 * q^60 - 4 * q^61 + 50 * q^62 + 20 * q^63 + 24 * q^64 - 18 * q^65 - 74 * q^66 + 10 * q^67 - 78 * q^69 + 8 * q^70 - 8 * q^71 + 140 * q^72 + 40 * q^73 + 60 * q^74 - 8 * q^75 + 52 * q^76 - 20 * q^77 - 90 * q^78 + 124 * q^80 - 72 * q^81 - 30 * q^83 - 12 * q^84 + 96 * q^85 - 20 * q^86 + 30 * q^87 + 140 * q^88 + 38 * q^89 - 8 * q^90 + 8 * q^91 + 80 * q^92 + 88 * q^94 - 70 * q^95 - 28 * q^96 - 30 * q^97 + 60 * q^99

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