LMFDB - Embedded newform 950.2.x.a.159.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [950,2,Mod(159,950)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(950, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([21, 10]))

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

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

chi := DirichletCharacter("950.159");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 950 = 2 \cdot 5^{2} \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	950.x (of order $30$, degree $8$, 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:	$7.58578819202$
Analytic rank:	$0$
Dimension:	$400$
Relative dimension:	$50$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			159.2
Character	$\chi$	$=$	950.159
Dual form			950.2.x.a.239.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.994522 - 0.104528i) q^{2} +(-2.37883 - 2.14191i) q^{3} +(0.978148 + 0.207912i) q^{4} +(-2.23592 + 0.0257798i) q^{5} +(2.14191 + 2.37883i) q^{6} -0.582392i q^{7} +(-0.951057 - 0.309017i) q^{8} +(0.757479 + 7.20693i) q^{9} +O(q^{10})$	\(q+(-0.994522 - 0.104528i) q^{2} +(-2.37883 - 2.14191i) q^{3} +(0.978148 + 0.207912i) q^{4} +(-2.23592 + 0.0257798i) q^{5} +(2.14191 + 2.37883i) q^{6} -0.582392i q^{7} +(-0.951057 - 0.309017i) q^{8} +(0.757479 + 7.20693i) q^{9} +(2.22637 + 0.208079i) q^{10} +(-0.407189 - 0.295840i) q^{11} +(-1.88152 - 2.58969i) q^{12} +(-3.16332 + 0.332478i) q^{13} +(-0.0608765 + 0.579201i) q^{14} +(5.37410 + 4.72781i) q^{15} +(0.913545 + 0.406737i) q^{16} +(-0.231432 - 1.08880i) q^{17} -7.24663i q^{18} +(4.10809 + 1.45725i) q^{19} +(-2.19242 - 0.439657i) q^{20} +(-1.24743 + 1.38541i) q^{21} +(0.374035 + 0.336782i) q^{22} +(2.80091 + 6.29095i) q^{23} +(1.60052 + 2.77218i) q^{24} +(4.99867 - 0.115283i) q^{25} +3.18074 q^{26} +(7.99013 - 10.9975i) q^{27} +(0.121086 - 0.569665i) q^{28} +(-0.513389 - 0.109124i) q^{29} +(-4.85047 - 5.26366i) q^{30} +(-2.77427 + 8.53832i) q^{31} +(-0.866025 - 0.500000i) q^{32} +(0.334972 + 1.57592i) q^{33} +(0.116353 + 1.10703i) q^{34} +(0.0150139 + 1.30218i) q^{35} +(-0.757479 + 7.20693i) q^{36} +(-1.98337 - 2.72988i) q^{37} +(-3.93326 - 1.87868i) q^{38} +(8.23714 + 5.98463i) q^{39} +(2.13445 + 0.666419i) q^{40} +(-7.71820 - 3.43636i) q^{41} +(1.38541 - 1.24743i) q^{42} +(3.12814 - 1.80603i) q^{43} +(-0.336782 - 0.374035i) q^{44} +(-1.87946 - 16.0946i) q^{45} +(-2.12798 - 6.54926i) q^{46} +(0.536150 - 2.52239i) q^{47} +(-1.30198 - 2.92429i) q^{48} +6.66082 q^{49} +(-4.98334 - 0.407852i) q^{50} +(-1.78158 + 3.08578i) q^{51} +(-3.16332 - 0.332478i) q^{52} +(1.45910 - 6.86453i) q^{53} +(-9.09591 + 10.1020i) q^{54} +(0.918069 + 0.650978i) q^{55} +(-0.179969 + 0.553887i) q^{56} +(-6.65116 - 12.2657i) q^{57} +(0.499170 + 0.162190i) q^{58} +(-8.62708 - 3.84103i) q^{59} +(4.27369 + 5.74184i) q^{60} +(11.9010 - 5.29865i) q^{61} +(3.65157 - 8.20156i) q^{62} +(4.19726 - 0.441150i) q^{63} +(0.809017 + 0.587785i) q^{64} +(7.06435 - 0.824943i) q^{65} +(-0.168408 - 1.60230i) q^{66} +(-3.04071 + 2.73787i) q^{67} -1.11312i q^{68} +(6.81175 - 20.9644i) q^{69} +(0.121183 - 1.29662i) q^{70} +(-5.02256 + 5.57812i) q^{71} +(1.50666 - 7.08827i) q^{72} +(-13.0593 - 1.37259i) q^{73} +(1.68716 + 2.92225i) q^{74} +(-12.1379 - 10.4325i) q^{75} +(3.71534 + 2.27953i) q^{76} +(-0.172295 + 0.237144i) q^{77} +(-7.56645 - 6.81286i) q^{78} +(10.6875 - 11.8696i) q^{79} +(-2.05310 - 0.885879i) q^{80} +(-21.2980 + 4.52702i) q^{81} +(7.31672 + 4.22431i) q^{82} +(-1.55216 - 0.504326i) q^{83} +(-1.50822 + 1.09578i) q^{84} +(0.545531 + 2.42850i) q^{85} +(-3.29979 + 1.46916i) q^{86} +(0.987533 + 1.35922i) q^{87} +(0.295840 + 0.407189i) q^{88} +(0.0518252 - 0.0230741i) q^{89} +(0.186817 + 16.2029i) q^{90} +(0.193632 + 1.84229i) q^{91} +(1.43174 + 6.73582i) q^{92} +(24.8879 - 14.3690i) q^{93} +(-0.796874 + 2.45253i) q^{94} +(-9.22293 - 3.15239i) q^{95} +(0.989174 + 3.04437i) q^{96} +(7.10602 + 6.39829i) q^{97} +(-6.62433 - 0.696245i) q^{98} +(1.82366 - 3.15868i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 400 q - 50 q^{4} + 2 q^{5} - 50 q^{9}+O(q^{10}) $ 400 * q - 50 * q^4 + 2 * q^5 - 50 * q^9	$ 400 q - 50 q^{4} + 2 q^{5} - 50 q^{9} - 12 q^{11} + 8 q^{14} - 18 q^{15} + 50 q^{16} - 10 q^{17} - 12 q^{19} + 4 q^{20} - 32 q^{21} + 20 q^{22} + 30 q^{23} - 14 q^{25} + 60 q^{27} + 24 q^{29} - 52 q^{30} + 20 q^{33} + 8 q^{34} - 8 q^{35} + 50 q^{36} - 24 q^{39} - 16 q^{41} + 4 q^{44} - 144 q^{45} - 32 q^{46} + 120 q^{47} - 440 q^{49} - 40 q^{50} + 52 q^{51} + 40 q^{53} - 12 q^{54} - 88 q^{55} + 16 q^{56} + 48 q^{59} - 2 q^{60} - 28 q^{61} + 10 q^{63} + 100 q^{64} + 152 q^{65} + 16 q^{66} - 80 q^{67} - 16 q^{69} + 8 q^{70} - 14 q^{71} + 80 q^{73} - 104 q^{75} - 8 q^{76} - 80 q^{77} + 60 q^{78} - 8 q^{79} + 2 q^{80} + 106 q^{81} + 80 q^{83} + 56 q^{84} + 78 q^{85} - 20 q^{86} + 80 q^{87} + 12 q^{89} + 78 q^{90} - 8 q^{91} - 20 q^{92} + 4 q^{95} - 30 q^{97} - 40 q^{98} - 12 q^{99}+O(q^{100}) $ 400 * q - 50 * q^4 + 2 * q^5 - 50 * q^9 - 12 * q^11 + 8 * q^14 - 18 * q^15 + 50 * q^16 - 10 * q^17 - 12 * q^19 + 4 * q^20 - 32 * q^21 + 20 * q^22 + 30 * q^23 - 14 * q^25 + 60 * q^27 + 24 * q^29 - 52 * q^30 + 20 * q^33 + 8 * q^34 - 8 * q^35 + 50 * q^36 - 24 * q^39 - 16 * q^41 + 4 * q^44 - 144 * q^45 - 32 * q^46 + 120 * q^47 - 440 * q^49 - 40 * q^50 + 52 * q^51 + 40 * q^53 - 12 * q^54 - 88 * q^55 + 16 * q^56 + 48 * q^59 - 2 * q^60 - 28 * q^61 + 10 * q^63 + 100 * q^64 + 152 * q^65 + 16 * q^66 - 80 * q^67 - 16 * q^69 + 8 * q^70 - 14 * q^71 + 80 * q^73 - 104 * q^75 - 8 * q^76 - 80 * q^77 + 60 * q^78 - 8 * q^79 + 2 * q^80 + 106 * q^81 + 80 * q^83 + 56 * q^84 + 78 * q^85 - 20 * q^86 + 80 * q^87 + 12 * q^89 + 78 * q^90 - 8 * q^91 - 20 * q^92 + 4 * q^95 - 30 * q^97 - 40 * q^98 - 12 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/950\mathbb{Z}\right)^\times$.

$n$	$77$	$401$
$\chi(n)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{1}{3}\right)$

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 $

$2$	−0.994522	−	0.104528i	−0.703233	−	0.0739128i
$2$	−0.994522	−	0.104528i	−0.703233	−	0.0739128i
$3$	−2.37883	−	2.14191i	−1.37342	−	1.23663i	−0.942484	−	0.334250i	$-0.891517\pi$
$3$	−2.37883	−	2.14191i	−1.37342	−	1.23663i	−0.430936	−	0.902383i	$-0.641816\pi$
$4$	0.978148	+	0.207912i	0.489074	+	0.103956i
$5$	−2.23592	+	0.0257798i	−0.999934	+	0.0115291i
$5$	−2.23592	+	0.0257798i	−0.999934	+	0.0115291i
$6$	2.14191	+	2.37883i	0.874432	+	0.971155i
$7$		−	0.582392i		−	0.220123i	−0.993925	−	0.110062i	$-0.964895\pi$
$7$		−	0.582392i		−	0.220123i	0.993925	−	0.110062i	$-0.0351048\pi$
$8$	−0.951057	−	0.309017i	−0.336249	−	0.109254i
$9$	0.757479	+	7.20693i	0.252493	+	2.40231i
$10$	2.22637	+	0.208079i	0.704039	+	0.0658002i
$11$	−0.407189	−	0.295840i	−0.122772	−	0.0891992i	0.524705	−	0.851284i	$-0.324176\pi$
$11$	−0.407189	−	0.295840i	−0.122772	−	0.0891992i	−0.647477	+	0.762085i	$0.724176\pi$
$12$	−1.88152	−	2.58969i	−0.543149	−	0.747580i
$13$	−3.16332	+	0.332478i	−0.877346	+	0.0922128i	−0.532483	−	0.846440i	$-0.678741\pi$
$13$	−3.16332	+	0.332478i	−0.877346	+	0.0922128i	−0.344862	+	0.938653i	$0.612074\pi$
$14$	−0.0608765	+	0.579201i	−0.0162699	+	0.154798i
$15$	5.37410	+	4.72781i	1.38759	+	1.22072i
$16$	0.913545	+	0.406737i	0.228386	+	0.101684i
$17$	−0.231432	−	1.08880i	−0.0561304	−	0.264073i	0.941130	−	0.338045i	$-0.109766\pi$
$17$	−0.231432	−	1.08880i	−0.0561304	−	0.264073i	−0.997260	+	0.0739724i	$0.976432\pi$
$18$		−	7.24663i		−	1.70805i
$19$	4.10809	+	1.45725i	0.942461	+	0.334316i
$19$	4.10809	+	1.45725i	0.942461	+	0.334316i
$20$	−2.19242	−	0.439657i	−0.490240	−	0.0983104i
$21$	−1.24743	+	1.38541i	−0.272212	+	0.302322i
$22$	0.374035	+	0.336782i	0.0797445	+	0.0718022i
$23$	2.80091	+	6.29095i	0.584030	+	1.31175i	0.927933	+	0.372748i	$0.121584\pi$
$23$	2.80091	+	6.29095i	0.584030	+	1.31175i	−0.343902	+	0.939005i	$0.611749\pi$
$24$	1.60052	+	2.77218i	0.326704	+	0.565869i
$25$	4.99867	−	0.115283i	0.999734	−	0.0230566i
$26$	3.18074			0.623794
$27$	7.99013	−	10.9975i	1.53770	−	2.11646i
$28$	0.121086	−	0.569665i	0.0228831	−	0.107657i
$29$	−0.513389	−	0.109124i	−0.0953340	−	0.0202639i	0.159998	−	0.987117i	$-0.448851\pi$
$29$	−0.513389	−	0.109124i	−0.0953340	−	0.0202639i	−0.255332	+	0.966854i	$0.582185\pi$
$30$	−4.85047	−	5.26366i	−0.885570	−	0.961009i
$31$	−2.77427	+	8.53832i	−0.498273	+	1.53353i	0.313519	+	0.949582i	$0.398492\pi$
$31$	−2.77427	+	8.53832i	−0.498273	+	1.53353i	−0.811792	+	0.583946i	$0.801508\pi$
$32$	−0.866025	−	0.500000i	−0.153093	−	0.0883883i
$33$	0.334972	+	1.57592i	0.0583111	+	0.274332i
$34$	0.116353	+	1.10703i	0.0199544	+	0.189853i
$35$	0.0150139	+	1.30218i	0.00253782	+	0.220109i
$36$	−0.757479	+	7.20693i	−0.126247	+	1.20116i
$37$	−1.98337	−	2.72988i	−0.326065	−	0.448790i	0.614242	−	0.789118i	$-0.289462\pi$
$37$	−1.98337	−	2.72988i	−0.326065	−	0.448790i	−0.940307	+	0.340328i	$0.889462\pi$
$38$	−3.93326	−	1.87868i	−0.638060	−	0.304762i
$39$	8.23714	+	5.98463i	1.31900	+	0.958308i
$40$	2.13445	+	0.666419i	0.337487	+	0.105370i
$41$	−7.71820	−	3.43636i	−1.20538	−	0.536670i	−0.297025	−	0.954870i	$-0.595994\pi$
$41$	−7.71820	−	3.43636i	−1.20538	−	0.536670i	−0.908355	+	0.418200i	$0.862661\pi$
$42$	1.38541	−	1.24743i	0.213774	−	0.192483i
$43$	3.12814	−	1.80603i	0.477037	−	0.275418i	−0.242144	−	0.970240i	$-0.577851\pi$
$43$	3.12814	−	1.80603i	0.477037	−	0.275418i	0.719181	+	0.694823i	$0.244517\pi$
$44$	−0.336782	−	0.374035i	−0.0507719	−	0.0563879i
$45$	−1.87946	−	16.0946i	−0.280173	−	2.39924i
$46$	−2.12798	−	6.54926i	−0.313754	−	0.965636i
$47$	0.536150	−	2.52239i	0.0782055	−	0.367928i	−0.921590	−	0.388166i	$-0.873109\pi$
$47$	0.536150	−	2.52239i	0.0782055	−	0.367928i	0.999795	+	0.0202375i	$0.00644222\pi$
$48$	−1.30198	−	2.92429i	−0.187924	−	0.422085i
$49$	6.66082			0.951546
$50$	−4.98334	−	0.407852i	−0.704750	−	0.0576790i
$51$	−1.78158	+	3.08578i	−0.249470	+	0.432095i
$52$	−3.16332	−	0.332478i	−0.438673	−	0.0461064i
$53$	1.45910	−	6.86453i	0.200423	−	0.942915i	−0.756819	−	0.653625i	$-0.773247\pi$
$53$	1.45910	−	6.86453i	0.200423	−	0.942915i	0.957241	−	0.289290i	$-0.0934193\pi$
$54$	−9.09591	+	10.1020i	−1.23780	+	1.37471i
$55$	0.918069	+	0.650978i	0.123792	+	0.0877778i
$56$	−0.179969	+	0.553887i	−0.0240494	+	0.0740163i
$57$	−6.65116	−	12.2657i	−0.880968	−	1.62464i
$58$	0.499170	+	0.162190i	0.0655443	+	0.0212966i
$59$	−8.62708	−	3.84103i	−1.12315	−	0.500059i	−0.240764	−	0.970584i	$-0.577398\pi$
$59$	−8.62708	−	3.84103i	−1.12315	−	0.500059i	−0.882387	+	0.470525i	$0.844065\pi$
$60$	4.27369	+	5.74184i	0.551731	+	0.741268i
$61$	11.9010	−	5.29865i	1.52376	−	0.678423i	0.537448	−	0.843297i	$-0.319389\pi$
$61$	11.9010	−	5.29865i	1.52376	−	0.678423i	0.986315	+	0.164875i	$0.0527219\pi$
$62$	3.65157	−	8.20156i	0.463750	−	1.04160i
$63$	4.19726	−	0.441150i	0.528805	−	0.0555796i
$64$	0.809017	+	0.587785i	0.101127	+	0.0734732i
$65$	7.06435	−	0.824943i	0.876224	−	0.102322i
$66$	−0.168408	−	1.60230i	−0.0207296	−	0.197229i
$67$	−3.04071	+	2.73787i	−0.371482	+	0.334483i	−0.833634	−	0.552317i	$-0.813744\pi$
$67$	−3.04071	+	2.73787i	−0.371482	+	0.334483i	0.462153	+	0.886800i	$0.347077\pi$
$68$		−	1.11312i		−	0.134986i
$69$	6.81175	−	20.9644i	0.820039	−	2.52382i
$70$	0.121183	−	1.29662i	0.0144842	−	0.154975i
$71$	−5.02256	+	5.57812i	−0.596068	+	0.662001i	−0.963393	−	0.268092i	$-0.913607\pi$
$71$	−5.02256	+	5.57812i	−0.596068	+	0.662001i	0.367325	+	0.930093i	$0.380274\pi$
$72$	1.50666	−	7.08827i	0.177562	−	0.835361i
$73$	−13.0593	−	1.37259i	−1.52848	−	0.160649i	−0.697349	−	0.716731i	$-0.745637\pi$
$73$	−13.0593	−	1.37259i	−1.52848	−	0.160649i	−0.831127	+	0.556082i	$0.812304\pi$
$74$	1.68716	+	2.92225i	0.196128	+	0.339704i
$75$	−12.1379	−	10.4325i	−1.40157	−	1.20464i
$76$	3.71534	+	2.27953i	0.426179	+	0.261480i
$77$	−0.172295	+	0.237144i	−0.0196348	+	0.0270250i
$78$	−7.56645	−	6.81286i	−0.856732	−	0.771405i
$79$	10.6875	−	11.8696i	1.20243	−	1.33544i	0.275002	−	0.961444i	$-0.411321\pi$
$79$	10.6875	−	11.8696i	1.20243	−	1.33544i	0.927431	−	0.373994i	$-0.122012\pi$
$80$	−2.05310	−	0.885879i	−0.229544	−	0.0990443i
$81$	−21.2980	+	4.52702i	−2.36644	+	0.503002i
$82$	7.31672	+	4.22431i	0.807996	+	0.466497i
$83$	−1.55216	−	0.504326i	−0.170371	−	0.0553570i	0.222589	−	0.974912i	$-0.428549\pi$
$83$	−1.55216	−	0.504326i	−0.170371	−	0.0553570i	−0.392961	+	0.919555i	$0.628549\pi$
$84$	−1.50822	+	1.09578i	−0.164560	+	0.119560i
$85$	0.545531	+	2.42850i	0.0591712	+	0.263408i
$86$	−3.29979	+	1.46916i	−0.355825	+	0.158424i
$87$	0.987533	+	1.35922i	0.105875	+	0.145724i
$88$	0.295840	+	0.407189i	0.0315367	+	0.0434065i
$89$	0.0518252	−	0.0230741i	0.00549346	−	0.00244584i	−0.403988	−	0.914764i	$-0.632376\pi$
$89$	0.0518252	−	0.0230741i	0.00549346	−	0.00244584i	0.409482	+	0.912318i	$0.365710\pi$
$90$	0.186817	+	16.2029i	0.0196922	+	1.70793i
$91$	0.193632	+	1.84229i	0.0202982	+	0.193124i
$92$	1.43174	+	6.73582i	0.149269	+	0.702258i
$93$	24.8879	−	14.3690i	2.58075	−	1.49000i
$94$	−0.796874	+	2.45253i	−0.0821913	+	0.252959i
$95$	−9.22293	−	3.15239i	−0.946253	−	0.323428i
$96$	0.989174	+	3.04437i	0.100957	+	0.310714i
$97$	7.10602	+	6.39829i	0.721507	+	0.649648i	0.945754	−	0.324885i	$-0.105325\pi$
$97$	7.10602	+	6.39829i	0.721507	+	0.649648i	−0.224247	+	0.974532i	$0.571992\pi$
$98$	−6.62433	−	0.696245i	−0.669159	−	0.0703314i
$99$	1.82366	−	3.15868i	0.183285	−	0.317459i
$100$	4.91341	+	0.926518i	0.491341	+	0.0926518i
$101$	3.67349	−	6.36266i	0.365525	−	0.633109i	−0.623335	−	0.781955i	$-0.714223\pi$
$101$	3.67349	−	6.36266i	0.365525	−	0.633109i	0.988860	+	0.148846i	$0.0475560\pi$
$102$	2.09437	−	2.88265i	0.207373	−	0.285425i
$103$	7.24296	−	2.35338i	0.713670	−	0.231886i	0.0703936	−	0.997519i	$-0.477574\pi$
$103$	7.24296	−	2.35338i	0.713670	−	0.231886i	0.643277	+	0.765634i	$0.277574\pi$
$104$	3.11123	+	0.661313i	0.305081	+	0.0648471i
$105$	2.75344	−	3.12983i	0.268708	−	0.305440i
$106$	−2.16865	+	6.67441i	−0.210638	+	0.648276i
$107$		−	2.83077i		−	0.273661i	−0.990594	−	0.136831i	$-0.956308\pi$
$107$		−	2.83077i		−	0.273661i	0.990594	−	0.136831i	$-0.0436916\pi$
$108$	10.1020	−	9.09591i	0.972068	−	0.875254i
$109$	5.30099	+	2.36015i	0.507743	+	0.226062i	0.644587	−	0.764531i	$-0.277029\pi$
$109$	5.30099	+	2.36015i	0.507743	+	0.226062i	−0.136844	+	0.990593i	$0.543696\pi$
$110$	−0.844994	−	0.743376i	−0.0805670	−	0.0708781i
$111$	−1.12904	+	10.7421i	−0.107164	+	1.01960i
$112$	0.236880	−	0.532041i	0.0223831	−	0.0502732i
$113$	0.353564	+	0.486639i	0.0332605	+	0.0457791i	0.825323	−	0.564660i	$-0.190993\pi$
$113$	0.353564	+	0.486639i	0.0332605	+	0.0457791i	−0.792063	+	0.610440i	$0.790993\pi$
$114$	5.33261	+	12.8938i	0.499445	+	1.20761i
$115$	−6.42479	−	13.9938i	−0.599115	−	1.30493i
$116$	−0.479482	−	0.213479i	−0.0445188	−	0.0198211i
$117$	−4.79229	−	22.5460i	−0.443047	−	2.08437i
$118$	8.17833	+	4.72176i	0.752876	+	0.434673i
$119$	−0.634108	+	0.134784i	−0.0581286	+	0.0123556i
$120$	−3.65010	−	6.15711i	−0.333207	−	0.562064i
$121$	−3.32091	−	10.2207i	−0.301900	−	0.929154i
$122$	−12.3896	+	4.02563i	−1.12170	+	0.364464i
$123$	10.9999	+	24.7062i	0.991829	+	2.22769i
$124$	−4.48886	+	7.77494i	−0.403112	+	0.698210i
$125$	−11.1737	+	0.386629i	−0.999402	+	0.0345811i
$126$	−4.22038			−0.375981
$127$	6.22135	+	13.9734i	0.552055	+	1.23994i	0.947001	+	0.321232i	$0.104097\pi$
$127$	6.22135	+	13.9734i	0.552055	+	1.23994i	−0.394945	+	0.918705i	$0.629237\pi$
$128$	−0.743145	−	0.669131i	−0.0656853	−	0.0591433i
$129$	−11.3097	−	2.40395i	−0.995763	−	0.211656i
$130$	−7.11188	+	0.0819988i	−0.623753	+	0.00719177i
$131$	−7.59102	+	1.61352i	−0.663231	+	0.140974i	−0.527214	−	0.849733i	$-0.676763\pi$
$131$	−7.59102	+	1.61352i	−0.663231	+	0.140974i	−0.136017	+	0.990707i	$0.543430\pi$
$132$			1.61112i			0.140230i
$133$	0.848691	−	2.39252i	0.0735909	−	0.207458i
$134$	3.31024	−	2.40503i	0.285961	−	0.207763i
$135$	−17.5818	+	24.7954i	−1.51320	+	2.13405i
$136$	−0.116353	+	1.10703i	−0.00997720	+	0.0949267i
$137$	4.19072	−	0.440462i	0.358037	−	0.0376312i	0.0761976	−	0.997093i	$-0.475722\pi$
$137$	4.19072	−	0.440462i	0.358037	−	0.0376312i	0.281840	+	0.959462i	$0.409055\pi$
$138$	−8.96582	+	20.1376i	−0.763221	+	1.71422i
$139$	15.9924	−	7.12026i	1.35646	−	0.603933i	0.405737	−	0.913990i	$-0.367015\pi$
$139$	15.9924	−	7.12026i	1.35646	−	0.603933i	0.950718	+	0.310057i	$0.100348\pi$
$140$	−0.256053	+	1.27685i	−0.0216404	+	0.107913i
$141$	−6.67814	+	4.85195i	−0.562401	+	0.408608i
$142$	5.57812	−	5.02256i	0.468105	−	0.421484i
$143$	1.38643	+	0.800454i	0.115939	+	0.0669374i
$144$	−2.23933	+	6.89196i	−0.186611	+	0.574330i
$145$	1.15071	+	0.230758i	0.0955613	+	0.0191634i
$146$	12.8443	+	2.73014i	1.06300	+	0.225948i
$147$	−15.8450	−	14.2669i	−1.30687	−	1.17671i
$148$	−1.37246	−	3.08259i	−0.112815	−	0.253388i
$149$	6.95100	+	12.0395i	0.569448	+	0.986313i	0.996621	+	0.0821429i	$0.0261764\pi$
$149$	6.95100	+	12.0395i	0.569448	+	0.986313i	−0.427172	+	0.904170i	$0.640490\pi$
$150$	10.9809	+	11.6441i	0.896591	+	0.950735i
$151$	10.0279			0.816061			0.408031	−	0.912968i	$-0.366216\pi$
$151$	10.0279			0.816061			0.408031	+	0.912968i	$0.366216\pi$
$152$	−3.45671	−	2.65540i	−0.280376	−	0.215381i
$153$	7.67160	−	2.49265i	0.620212	−	0.201519i
$154$	0.196139	−	0.217835i	0.0158054	−	0.0175536i
$155$	5.98293	−	19.1625i	0.480560	−	1.53917i
$156$	6.81286	+	7.56645i	0.545465	+	0.605801i
$157$	−1.69458	+	0.978365i	−0.135242	+	0.0780820i	−0.566094	−	0.824340i	$-0.691546\pi$
$157$	−1.69458	+	0.978365i	−0.135242	+	0.0780820i	0.430852	+	0.902422i	$0.358213\pi$
$158$	−11.8696	+	10.6875i	−0.944297	+	0.850249i
$159$	−18.1742	+	13.2043i	−1.44131	+	1.04717i
$160$	1.94925	+	1.09563i	0.154102	+	0.0866175i
$161$	3.66380	−	1.63123i	0.288748	−	0.128559i
$162$	21.6545	−	2.27598i	1.70134	−	0.178818i
$163$	13.8513	+	19.0646i	1.08491	+	1.49326i	0.853994	+	0.520283i	$0.174174\pi$
$163$	13.8513	+	19.0646i	1.08491	+	1.49326i	0.230920	+	0.972973i	$0.425826\pi$
$164$	−6.83508	−	4.96597i	−0.533730	−	0.387777i
$165$	−0.789596	−	3.51499i	−0.0614700	−	0.273641i
$166$	1.49094	+	0.663808i	0.115719	+	0.0515215i
$167$	17.4572	−	15.7186i	1.35088	−	1.21634i	0.396395	−	0.918080i	$-0.370261\pi$
$167$	17.4572	−	15.7186i	1.35088	−	1.21634i	0.954485	−	0.298258i	$-0.0964057\pi$
$168$	1.61449	−	0.932128i	0.124561	−	0.0719153i
$169$	−2.81990	+	0.599388i	−0.216915	+	0.0461068i
$170$	−0.288695	−	2.47222i	−0.0221419	−	0.189611i
$171$	−7.39052	+	30.7106i	−0.565167	+	2.34850i
$172$	3.43528	−	1.11619i	0.261938	−	0.0851087i
$173$	16.6422	+	1.74916i	1.26528	+	0.132986i	0.713293	−	0.700865i	$-0.247203\pi$
$173$	16.6422	+	1.74916i	1.26528	+	0.132986i	0.551988	+	0.833852i	$0.313869\pi$
$174$	−0.840046	−	1.45500i	−0.0636837	−	0.110303i
$175$	−0.0671399	−	2.91118i	−0.00507530	−	0.220065i
$176$	−0.251657	−	0.435882i	−0.0189693	−	0.0328559i
$177$	12.2953	+	27.6156i	0.924168	+	2.07572i
$178$	−0.0539532	+	0.0175304i	−0.00404396	+	0.00131396i
$179$	2.21511	+	6.81740i	0.165565	+	0.509557i	0.999077	−	0.0429439i	$-0.0136737\pi$
$179$	2.21511	+	6.81740i	0.165565	+	0.509557i	−0.833512	+	0.552501i	$0.813674\pi$
$180$	1.50787	−	16.1336i	0.112390	−	1.20253i
$181$	−10.8868	−	12.0911i	−0.809212	−	0.898721i	0.187289	−	0.982305i	$-0.440030\pi$
$181$	−10.8868	−	12.0911i	−0.809212	−	0.898721i	−0.996501	+	0.0835840i	$0.973363\pi$
$182$		−	1.85244i		−	0.137312i
$183$	−39.6596	−	12.8862i	−2.93173	−	0.952575i
$184$	−0.719814	−	6.84858i	−0.0530654	−	0.504884i
$185$	4.50504	+	6.05266i	0.331217	+	0.445001i
$186$	−26.2535	+	11.6888i	−1.92500	+	0.857065i
$187$	−0.227874	+	0.511814i	−0.0166638	+	0.0374276i
$188$	1.04887	−	2.35580i	0.0764965	−	0.171814i
$189$	−6.40483	−	4.65338i	−0.465883	−	0.338484i
$190$	8.84289	+	4.09918i	0.641531	+	0.297386i
$191$	7.00325	−	5.08816i	0.506737	−	0.368166i	−0.304847	−	0.952401i	$-0.598605\pi$
$191$	7.00325	−	5.08816i	0.506737	−	0.368166i	0.811584	+	0.584235i	$0.198605\pi$
$192$	−0.665533	−	3.13109i	−0.0480307	−	0.225967i
$193$	12.7049	−	7.33515i	0.914515	−	0.527996i	0.0326341	−	0.999467i	$-0.489610\pi$
$193$	12.7049	−	7.33515i	0.914515	−	0.527996i	0.881881	+	0.471472i	$0.156277\pi$
$194$	−6.39829	−	7.10602i	−0.459370	−	0.510183i
$195$	−18.5719	−	13.1688i	−1.32996	−	0.943037i
$196$	6.51526	+	1.38486i	0.465376	+	0.0989187i
$197$	−6.32169	+	2.05404i	−0.450402	+	0.146344i	−0.525430	−	0.850837i	$-0.676095\pi$
$197$	−6.32169	+	2.05404i	−0.450402	+	0.146344i	0.0750280	+	0.997181i	$0.476095\pi$
$198$	−2.14384	+	2.95075i	−0.152356	+	0.209701i
$199$	−10.8381	+	18.7721i	−0.768293	+	1.33072i	0.170195	+	0.985410i	$0.445560\pi$
$199$	−10.8381	+	18.7721i	−0.768293	+	1.33072i	−0.938488	+	0.345312i	$0.887773\pi$
$200$	−4.78964	−	1.43503i	−0.338679	−	0.101472i
$201$	13.0976			0.923833
$202$	−4.31844	+	5.94382i	−0.303844	+	0.418206i
$203$	−0.0635531	+	0.298994i	−0.00446055	+	0.0209852i
$204$	−2.38421	+	2.64794i	−0.166928	+	0.185393i
$205$	17.3459	+	7.48446i	1.21149	+	0.522737i
$206$	−7.44928	+	1.58339i	−0.519016	+	0.110320i
$207$	−43.2168	+	24.9512i	−3.00378	+	1.73423i
$208$	−3.02506	−	0.982903i	−0.209750	−	0.0681520i
$209$	−1.24166	−	1.80872i	−0.0858872	−	0.125111i
$210$	−3.06551	+	2.82487i	−0.211540	+	0.194935i
$211$	1.73107	−	16.4700i	0.119172	−	1.13384i	−0.757528	−	0.652803i	$-0.773593\pi$
$211$	1.73107	−	16.4700i	0.119172	−	1.13384i	0.876699	−	0.481039i	$-0.159740\pi$
$212$	2.85443	−	6.41116i	0.196043	−	0.440320i
$213$	23.8957	−	2.51154i	1.63730	−	0.172088i
$214$	−0.295896	+	2.81526i	−0.0202270	+	0.192448i
$215$	−6.94772	+	4.11879i	−0.473830	+	0.280899i
$216$	−10.9975	+	7.99013i	−0.748283	+	0.543659i
$217$	4.97265	+	1.61571i	0.337565	+	0.109682i
$218$	−5.02525	−	2.90133i	−0.340353	−	0.196503i
$219$	28.1260	+	31.2370i	1.90058	+	2.11080i
$220$	0.762661	+	0.827629i	0.0514186	+	0.0557988i
$221$	1.09409	+	3.36727i	0.0735966	+	0.226507i
$222$	2.24572	−	10.5653i	0.150723	−	0.709095i
$223$	3.05092	+	0.320665i	0.204305	+	0.0214733i	0.206128	−	0.978525i	$-0.433914\pi$
$223$	3.05092	+	0.320665i	0.204305	+	0.0214733i	−0.00182314	+	0.999998i	$0.500580\pi$
$224$	−0.291196	+	0.504366i	−0.0194563	+	0.0336994i
$225$	4.61723	+	35.9378i	0.307815	+	2.39585i
$226$	−0.300759	−	0.520930i	−0.0200062	−	0.0346518i
$227$	−2.33640	+	3.21577i	−0.155072	+	0.213438i	−0.879483	−	0.475930i	$-0.842112\pi$
$227$	−2.33640	+	3.21577i	−0.155072	+	0.213438i	0.724411	+	0.689368i	$0.242112\pi$
$228$	−3.95563	−	13.3805i	−0.261968	−	0.886148i
$229$	3.99858	+	12.3064i	0.264233	+	0.813227i	0.991869	+	0.127263i	$0.0406192\pi$
$229$	3.99858	+	12.3064i	0.264233	+	0.813227i	−0.727636	+	0.685964i	$0.759381\pi$
$230$	4.92684	+	14.5888i	0.324866	+	0.961954i
$231$	0.917801	−	0.195085i	0.0603869	−	0.0128356i
$232$	0.454541	+	0.262429i	0.0298421	+	0.0172293i
$233$	4.26524	+	20.0664i	0.279425	+	1.31459i	0.864099	+	0.503322i	$0.167889\pi$
$233$	4.26524	+	20.0664i	0.279425	+	1.31459i	−0.584674	+	0.811269i	$0.698777\pi$
$234$	2.40934	+	22.9234i	0.157504	+	1.49855i
$235$	−1.13376	+	5.65368i	−0.0739585	+	0.368805i
$236$	−7.63997	−	5.55076i	−0.497320	−	0.361324i
$237$	−50.8474	+	5.34427i	−3.30289	+	0.347148i
$238$	0.644723	−	0.0677631i	0.0417912	−	0.00439243i
$239$	10.0100	+	7.27269i	0.647493	+	0.470431i	0.862416	−	0.506200i	$-0.168950\pi$
$239$	10.0100	+	7.27269i	0.647493	+	0.470431i	−0.214923	+	0.976631i	$0.568950\pi$
$240$	2.98651	+	6.50492i	0.192778	+	0.419891i
$241$	−0.156855	−	1.49238i	−0.0101039	−	0.0961325i	0.988308	−	0.152473i	$-0.0487236\pi$
$241$	−0.156855	−	1.49238i	−0.0101039	−	0.0961325i	−0.998412	+	0.0563401i	$0.982057\pi$
$242$	2.23436	+	10.5118i	0.143630	+	0.675726i
$243$	25.0435	+	14.4589i	1.60654	+	0.927537i
$244$	12.7425	−	2.70851i	0.815758	−	0.173395i
$245$	−14.8931	+	0.171715i	−0.951482	+	0.0109704i
$246$	−8.35716	−	25.7207i	−0.532833	−	1.63989i
$247$	−13.4797	−	3.24390i	−0.857692	−	0.206404i
$248$	5.27697	−	7.26313i	0.335088	−	0.461209i
$249$	2.61210	+	4.52429i	0.165535	+	0.286715i
$250$	11.1529	+	0.783454i	0.705369	+	0.0495500i
$251$	3.59280	−	6.22291i	0.226775	−	0.392786i	−0.730075	−	0.683367i	$-0.760515\pi$
$251$	3.59280	−	6.22291i	0.226775	−	0.392786i	0.956851	+	0.290580i	$0.0938484\pi$
$252$	4.19726	+	0.441150i	0.264402	+	0.0277898i
$253$	0.720615	−	3.39023i	0.0453047	−	0.213142i
$254$	−4.72665	−	14.5471i	−0.296576	−	0.912768i
$255$	3.90391	−	6.94548i	0.244472	−	0.434943i
$256$	0.669131	+	0.743145i	0.0418207	+	0.0464466i
$257$	−1.08282	−	0.625164i	−0.0675442	−	0.0389966i	0.465848	−	0.884865i	$-0.345749\pi$
$257$	−1.08282	−	0.625164i	−0.0675442	−	0.0389966i	−0.533392	+	0.845868i	$0.679083\pi$
$258$	10.9965	+	3.57297i	0.684610	+	0.222443i
$259$	−1.58986	+	1.15510i	−0.0987891	+	0.0717745i
$260$	7.08149	+	0.661844i	0.439175	+	0.0410458i
$261$	0.397570	−	3.78262i	0.0246089	−	0.234138i
$262$	7.71810	−	0.811205i	0.476826	−	0.0501164i
$263$	−5.26259	+	11.8200i	−0.324505	+	0.728850i	−0.999963	−	0.00854793i	$-0.997279\pi$
$263$	−5.26259	+	11.8200i	−0.324505	+	0.728850i	0.675459	+	0.737398i	$0.263946\pi$
$264$	0.168408	−	1.60230i	0.0103648	−	0.0986146i
$265$	−3.08546	+	15.3861i	−0.189539	+	0.945163i
$266$	−1.09413	+	2.29070i	−0.0670853	+	0.140452i
$267$	−0.172706	−	0.0561156i	−0.0105694	−	0.00343422i
$268$	−3.54349	+	2.04584i	−0.216453	+	0.124969i
$269$	26.5371	−	5.64064i	1.61800	−	0.343916i	0.692132	−	0.721771i	$-0.256672\pi$
$269$	26.5371	−	5.64064i	1.61800	−	0.343916i	0.925865	+	0.377855i	$0.123338\pi$
$270$	20.0773	−	22.8218i	1.22186	−	1.38889i
$271$	15.1348	−	16.8089i	0.919375	−	1.02107i	−0.0803296	−	0.996768i	$-0.525597\pi$
$271$	15.1348	−	16.8089i	0.919375	−	1.02107i	0.999705	−	0.0243011i	$-0.00773605\pi$
$272$	0.231432	−	1.08880i	0.0140326	−	0.0660182i
$273$	3.48540	−	4.79724i	0.210946	−	0.290342i
$274$	−4.21380			−0.254565
$275$	−2.06951	−	1.43187i	−0.124796	−	0.0863447i
$276$	11.0216	−	19.0901i	0.663425	−	1.14909i
$277$	0.253215	−	0.348521i	0.0152142	−	0.0209406i	−0.801342	−	0.598206i	$-0.795880\pi$
$277$	0.253215	−	0.348521i	0.0152142	−	0.0209406i	0.816556	+	0.577266i	$0.195880\pi$
$278$	−16.6490	+	5.40960i	−0.998543	+	0.324446i
$279$	−63.6366	−	13.5264i	−3.80982	−	0.809803i
$280$	0.388117	−	1.24309i	0.0231944	−	0.0742887i
$281$	−20.8946	−	23.2058i	−1.24647	−	1.38434i	−0.893720	−	0.448626i	$-0.851913\pi$
$281$	−20.8946	−	23.2058i	−1.24647	−	1.38434i	−0.352749	−	0.935718i	$-0.614753\pi$
$282$	7.14873	−	4.12732i	0.425700	−	0.245778i
$283$	−1.34611	−	6.33297i	−0.0800182	−	0.376456i	0.919857	−	0.392254i	$-0.128305\pi$
$283$	−1.34611	−	6.33297i	−0.0800182	−	0.376456i	−0.999875	+	0.0157978i	$0.994971\pi$
$284$	−6.07256	+	4.41197i	−0.360340	+	0.261802i
$285$	15.1877	+	27.2537i	0.899640	+	1.61437i
$286$	−1.29516	−	0.940991i	−0.0765846	−	0.0556419i
$287$	−2.00131	+	4.49501i	−0.118134	+	0.265332i
$288$	2.94747	−	6.62013i	0.173681	−	0.390095i
$289$	14.3983	−	6.41056i	0.846962	−	0.377092i
$290$	−1.12029	−	0.349776i	−0.0657855	−	0.0205396i
$291$	−3.19947	−	30.4409i	−0.187556	−	1.78448i
$292$	−12.4886	−	4.05778i	−0.730838	−	0.237464i
$293$		−	19.5835i		−	1.14408i	−0.820225	−	0.572041i	$-0.806152\pi$
$293$		−	19.5835i		−	1.14408i	0.820225	−	0.572041i	$-0.193848\pi$
$294$	14.2669	+	15.8450i	0.832062	+	0.924098i
$295$	19.3885	+	8.36582i	1.12884	+	0.487077i
$296$	1.04272	+	3.20917i	0.0606070	+	0.186529i
$297$	−6.50699	+	2.11425i	−0.377574	+	0.122681i
$298$	−5.65445	−	12.7001i	−0.327554	−	0.735698i
$299$	−10.9518	−	18.9690i	−0.633357	−	1.09701i
$300$	−9.70366	−	12.7281i	−0.560241	−	0.734858i
$301$	−1.05182	−	1.82180i	−0.0606259	−	0.105007i
$302$	−9.97300	−	1.04820i	−0.573881	−	0.0603174i
$303$	−22.3669	+	7.26744i	−1.28494	+	0.417503i
$304$	3.16021	+	3.00218i	0.181251	+	0.172187i
$305$	−26.4730	+	12.1542i	−1.51584	+	0.695945i
$306$	−7.89013	+	1.67710i	−0.451049	+	0.0958734i
$307$	−4.52366	+	2.61174i	−0.258179	+	0.149060i	−0.623504	−	0.781821i	$-0.714291\pi$
$307$	−4.52366	+	2.61174i	−0.258179	+	0.149060i	0.365325	+	0.930880i	$0.380958\pi$
$308$	−0.217835	+	0.196139i	−0.0124123	+	0.0111761i
$309$	−22.2705	−	9.91548i	−1.26693	−	0.564072i
$310$	−7.95318	+	18.4322i	−0.451710	+	1.04688i
$311$	3.38821	+	2.46168i	0.192128	+	0.139589i	0.679691	−	0.733499i	$-0.262114\pi$
$311$	3.38821	+	2.46168i	0.192128	+	0.139589i	−0.487563	+	0.873088i	$0.662114\pi$
$312$	−5.98463	−	8.23714i	−0.338813	−	0.466336i
$313$	−29.4708	+	3.09751i	−1.66579	+	0.175082i	−0.890016	−	0.455929i	$-0.849307\pi$
$313$	−29.4708	+	3.09751i	−1.66579	+	0.175082i	−0.775774	+	0.631011i	$0.782640\pi$
$314$	1.78756	−	0.795874i	0.100878	−	0.0449137i
$315$	−9.37336	+	1.09458i	−0.528129	+	0.0616726i
$316$	12.9217	−	9.38820i	0.726905	−	0.528128i
$317$	−7.07939	+	6.37432i	−0.397618	+	0.358017i	−0.843551	−	0.537049i	$-0.819539\pi$
$317$	−7.07939	+	6.37432i	−0.397618	+	0.358017i	0.445932	+	0.895067i	$0.352872\pi$
$318$	19.4548	−	11.2323i	1.09097	−	0.629873i
$319$	0.176763	+	0.196315i	0.00989684	+	0.0109916i
$320$	−1.82405	−	1.29338i	−0.101967	−	0.0723024i
$321$	−6.06326	+	6.73393i	−0.338418	+	0.375852i
$322$	−3.81424	+	1.23932i	−0.212559	+	0.0690646i
$323$	0.635913	−	4.81014i	0.0353832	−	0.267644i
$324$	−21.7738			−1.20965
$325$	−15.7740	+	2.02662i	−0.874986	+	0.112417i
$326$	−11.7826	−	20.4080i	−0.652577	−	1.13030i
$327$	−7.55493	−	16.9687i	−0.417789	−	0.938369i
$328$	6.27855	+	5.65323i	0.346675	+	0.312147i
$329$	−1.46902	−	0.312249i	−0.0809896	−	0.0172149i
$330$	0.417854	+	3.57827i	0.0230021	+	0.196977i
$331$	0.537737	−	1.65498i	0.0295567	−	0.0909662i	−0.935190	−	0.354147i	$-0.884771\pi$
$331$	0.537737	−	1.65498i	0.0295567	−	0.0909662i	0.964747	+	0.263180i	$0.0847714\pi$
$332$	−1.41338	−	0.816016i	−0.0775694	−	0.0447847i
$333$	18.1717	−	16.3619i	0.995803	−	0.896625i
$334$	−19.0046	+	13.8077i	−1.03989	+	0.755522i
$335$	6.72820	−	6.20003i	0.367601	−	0.338744i
$336$	−1.70308	+	0.758262i	−0.0929108	+	0.0413666i
$337$	9.73955	−	21.8754i	0.530547	−	1.19163i	−0.427237	−	0.904140i	$-0.640513\pi$
$337$	9.73955	−	21.8754i	0.530547	−	1.19163i	0.957784	−	0.287489i	$-0.0928203\pi$
$338$	2.86710	−	0.301345i	0.155950	−	0.0163910i
$339$	0.201268	−	1.91493i	0.0109314	−	0.104005i
$340$	0.0286961	+	2.48886i	0.00155627	+	0.134977i
$341$	3.65563	−	2.65597i	0.197964	−	0.143829i
$342$	10.5602	−	29.7698i	0.571028	−	1.60977i
$343$		−	7.95595i		−	0.429581i
$344$	−3.53314	+	0.750991i	−0.190494	+	0.0404907i
$345$	−14.6901	+	47.0504i	−0.790887	+	2.53311i
$346$	−16.3682	−	3.47916i	−0.879959	−	0.187041i
$347$	11.2987	+	10.1734i	0.606547	+	0.546138i	0.914149	−	0.405377i	$-0.132860\pi$
$347$	11.2987	+	10.1734i	0.606547	+	0.546138i	−0.307602	+	0.951515i	$0.599527\pi$
$348$	0.683355	+	1.53484i	0.0366317	+	0.0822761i
$349$	14.0125			0.750074			0.375037	−	0.927010i	$-0.377630\pi$
$349$	14.0125			0.750074			0.375037	+	0.927010i	$0.377630\pi$
$350$	−0.237529	+	2.90225i	−0.0126965	+	0.155132i
$351$	−21.6189	+	37.4450i	−1.15393	+	1.99867i
$352$	0.204716	+	0.459800i	0.0109114	+	0.0245074i
$353$	26.2192	−	8.51915i	1.39551	−	0.453428i	0.487773	−	0.872970i	$-0.337809\pi$
$353$	26.2192	−	8.51915i	1.39551	−	0.453428i	0.907736	+	0.419542i	$0.137809\pi$
$354$	−9.34129	−	28.7495i	−0.496484	−	1.52802i
$355$	11.0862	−	12.6017i	0.588396	−	0.668829i
$356$	0.0554900	−	0.0117948i	0.00294097	−	0.000625122i
$357$	1.79713	+	1.03757i	0.0951143	+	0.0549143i
$358$	−1.49036	−	7.01160i	−0.0787681	−	0.370575i
$359$	25.5253	+	11.3646i	1.34717	+	0.599800i	0.948349	−	0.317228i	$-0.102752\pi$
$359$	25.5253	+	11.3646i	1.34717	+	0.599800i	0.398824	+	0.917028i	$0.369419\pi$
$360$	−3.18603	+	15.8877i	−0.167919	+	0.837353i
$361$	14.7528	+	11.9730i	0.776465	+	0.630160i
$362$	9.56333	+	13.1628i	0.502638	+	0.691821i
$363$	−13.9919	+	31.4264i	−0.734386	+	1.64946i
$364$	−0.193632	+	1.84229i	−0.0101491	+	0.0965622i
$365$	29.2350	+	2.73233i	1.53023	+	0.143017i
$366$	38.0954	+	16.9612i	1.99128	+	0.886574i
$367$	−8.29969	+	7.47307i	−0.433240	+	0.390091i	−0.856693	−	0.515827i	$-0.827485\pi$
$367$	−8.29969	+	7.47307i	−0.433240	+	0.390091i	0.423453	+	0.905918i	$0.360818\pi$
$368$			6.88630i			0.358973i
$369$	18.9193	−	58.2275i	0.984897	−	3.03120i
$370$	−3.84769	−	6.49041i	−0.200032	−	0.337420i
$371$	−3.99784	−	0.849768i	−0.207558	−	0.0441178i
$372$	27.3315	−	8.88054i	1.41707	−	0.460434i
$373$	7.12874	−	9.81187i	0.369112	−	0.508040i	−0.583547	−	0.812079i	$-0.698336\pi$
$373$	7.12874	−	9.81187i	0.369112	−	0.508040i	0.952659	+	0.304040i	$0.0983356\pi$
$374$	0.280125	−	0.485191i	0.0144849	−	0.0250886i
$375$	27.4084	+	23.0132i	1.41536	+	1.18840i
$376$	−1.28937	+	2.23325i	−0.0664942	+	0.115171i
$377$	1.66029	+	0.174504i	0.0855095	+	0.00898741i
$378$	5.88334	+	5.29738i	0.302606	+	0.272468i
$379$	4.79230	+	14.7492i	0.246164	+	0.757615i	0.995443	+	0.0953605i	$0.0304004\pi$
$379$	4.79230	+	14.7492i	0.246164	+	0.757615i	−0.749279	+	0.662255i	$0.769600\pi$
$380$	−8.36597	−	5.00106i	−0.429165	−	0.256549i
$381$	15.1302	−	46.5659i	0.775142	−	2.38564i
$382$	−7.49674	+	4.32824i	−0.383567	+	0.221452i
$383$	6.76025	+	31.8045i	0.345433	+	1.62513i	0.717242	+	0.696824i	$0.245404\pi$
$383$	6.76025	+	31.8045i	0.345433	+	1.62513i	−0.371810	+	0.928309i	$0.621263\pi$
$384$	0.334599	+	3.18350i	0.0170750	+	0.162457i
$385$	0.379124	−	0.534676i	0.0193219	−	0.0272496i
$386$	−13.4020	+	5.96695i	−0.682143	+	0.303710i
$387$	15.3855	+	21.1763i	0.782087	+	1.07645i
$388$	5.62046	+	7.73590i	0.285336	+	0.392731i
$389$	14.3478	−	6.38806i	0.727463	−	0.323887i	−0.00937555	−	0.999956i	$-0.502984\pi$
$389$	14.3478	−	6.38806i	0.727463	−	0.323887i	0.736839	+	0.676069i	$0.236318\pi$
$390$	17.0936	+	15.0379i	0.865568	+	0.761476i
$391$	6.20137	−	4.50556i	0.313617	−	0.227856i
$392$	−6.33482	−	2.05831i	−0.319957	−	0.103960i
$393$	21.5138	+	12.4210i	1.08523	+	0.626556i
$394$	6.50176	−	1.38199i	0.327554	−	0.0696238i
$395$	−23.5903	+	26.8151i	−1.18696	+	1.34921i
$396$	2.44054	−	2.71049i	0.122642	−	0.136207i
$397$	−28.1966	−	25.3883i	−1.41515	−	1.27420i	−0.912114	−	0.409936i	$-0.865551\pi$
$397$	−28.1966	−	25.3883i	−1.41515	−	1.27420i	−0.503033	−	0.864267i	$-0.667782\pi$
$398$	12.7410	−	17.5364i	0.638646	−	0.879021i
$399$	−7.14346	+	3.87358i	−0.357620	+	0.193922i
$400$	4.61340	+	1.92783i	0.230670	+	0.0963913i
$401$	−12.7264	−	22.0427i	−0.635524	−	1.10076i	−0.986404	−	0.164340i	$-0.947451\pi$
$401$	−12.7264	−	22.0427i	−0.635524	−	1.10076i	0.350880	−	0.936421i	$-0.385883\pi$
$402$	−13.0259	−	1.36907i	−0.649670	−	0.0682831i
$403$	5.93708	−	27.9318i	0.295747	−	1.39138i
$404$	4.91608	−	5.45986i	0.244584	−	0.271638i
$405$	47.5038	−	10.6711i	2.36048	−	0.530252i
$406$	0.0944583	−	0.290713i	0.00468789	−	0.0144278i
$407$			1.69834i			0.0841836i
$408$	2.64794	−	2.38421i	0.131092	−	0.118036i
$409$	0.117935	+	1.12208i	0.00583152	+	0.0554832i	0.997051	−	0.0767462i	$-0.0244531\pi$
$409$	0.117935	+	1.12208i	0.00583152	+	0.0554832i	−0.991219	+	0.132229i	$0.957786\pi$
$410$	−16.4685	−	9.25659i	−0.813321	−	0.457150i
$411$	−10.9125	−	7.92836i	−0.538272	−	0.391077i
$412$	7.57398	−	0.796058i	0.373143	−	0.0392189i
$413$	−2.23698	+	5.02434i	−0.110075	+	0.247232i
$414$	45.5882	−	20.2972i	2.24054	−	0.997551i
$415$	3.48350	+	1.08762i	0.170998	+	0.0533891i
$416$	2.90575	+	1.29372i	0.142466	+	0.0634300i
$417$	−53.2942	−	17.3163i	−2.60983	−	0.847984i
$418$	1.04579	+	1.92860i	0.0511514	+	0.0943307i
$419$	3.20434	−	9.86193i	0.156542	−	0.481787i	−0.841772	−	0.539833i	$-0.818487\pi$
$419$	3.20434	−	9.86193i	0.156542	−	0.481787i	0.998314	+	0.0580466i	$0.0184872\pi$
$420$	3.34400	−	2.48896i	0.163170	−	0.121449i
$421$	−6.82486	+	7.57977i	−0.332623	+	0.369416i	−0.886136	−	0.463425i	$-0.846620\pi$
$421$	−6.82486	+	7.57977i	−0.332623	+	0.369416i	0.553513	+	0.832841i	$0.313287\pi$
$422$	−3.44317	+	16.1988i	−0.167611	+	0.788547i
$423$	18.5848	+	1.95334i	0.903624	+	0.0949747i
$424$	−3.50894	+	6.07767i	−0.170409	+	0.295158i
$425$	−1.28237	−	5.41587i	−0.0622041	−	0.262708i
$426$	−24.0273			−1.16413
$427$	−3.08589	−	6.93102i	−0.149337	−	0.335416i
$428$	0.588551	−	2.76891i	0.0284487	−	0.133840i
$429$	−1.58358	−	4.87375i	−0.0764559	−	0.235307i
$430$	7.34019	−	3.36999i	0.353975	−	0.162515i
$431$	24.4464	+	27.1505i	1.17754	+	1.30780i	0.941876	+	0.335962i	$0.109061\pi$
$431$	24.4464	+	27.1505i	1.17754	+	1.30780i	0.235668	+	0.971834i	$0.424272\pi$
$432$	11.7724	−	6.79681i	0.566401	−	0.327012i
$433$	3.13315	−	2.82110i	0.150570	−	0.135574i	−0.590403	−	0.807108i	$-0.701031\pi$
$433$	3.13315	−	2.82110i	0.150570	−	0.135574i	0.740973	+	0.671535i	$0.234365\pi$
$434$	−4.77652	−	2.12664i	−0.229280	−	0.102082i
$435$	−2.24309	−	3.01365i	−0.107548	−	0.144494i
$436$	4.69445	+	3.41071i	0.224823	+	0.163344i
$437$	2.33890	+	29.9254i	0.111885	+	1.43153i
$438$	−24.7067	−	34.0059i	−1.18053	−	1.62486i
$439$	0.571794	−	5.44026i	0.0272903	−	0.259649i	−0.972367	−	0.233459i	$-0.924996\pi$
$439$	0.571794	−	5.44026i	0.0272903	−	0.259649i	0.999657	−	0.0261907i	$-0.00833771\pi$
$440$	−0.671972	−	0.902815i	−0.0320350	−	0.0430400i
$441$	5.04543	+	48.0041i	0.240259	+	2.28591i
$442$	−0.736123	−	3.46319i	−0.0350138	−	0.164727i
$443$	3.25512	+	1.87934i	0.154655	+	0.0892903i	0.575330	−	0.817921i	$-0.304873\pi$
$443$	3.25512	+	1.87934i	0.154655	+	0.0892903i	−0.420675	+	0.907211i	$0.638207\pi$
$444$	−3.33779	+	10.2727i	−0.158404	+	0.487519i
$445$	−0.115282	+	0.0529278i	−0.00546489	+	0.00250902i
$446$	−3.00069	−	0.637817i	−0.142087	−	0.0302015i
$447$	9.25224	−	43.5284i	0.437616	−	2.05882i
$448$	0.342321	−	0.471165i	0.0161732	−	0.0222604i
$449$	22.4201			1.05807			0.529035	−	0.848600i	$-0.322554\pi$
$449$	22.4201			1.05807			0.529035	+	0.848600i	$0.322554\pi$
$450$	−0.835414	−	36.2235i	−0.0393818	−	1.70759i
$451$	2.12615	+	3.68260i	0.100117	+	0.173407i
$452$	0.244660	+	0.549515i	0.0115078	+	0.0258470i
$453$	−23.8548	−	21.4789i	−1.12079	−	1.00917i
$454$	2.65974	−	2.95394i	0.124828	−	0.138635i
$455$	−0.480440	−	4.11422i	−0.0225234	−	0.192877i
$456$	2.53531	+	13.7207i	0.118727	+	0.642532i
$457$			14.8343i			0.693919i	0.937880	+	0.346960i	$0.112786\pi$
$457$			14.8343i			0.693919i	−0.937880	+	0.346960i	$0.887214\pi$
$458$	−2.69031	−	12.6569i	−0.125710	−	0.591418i
$459$	−13.8232	−	6.15449i	−0.645212	−	0.287267i
$460$	−3.37491	−	15.0238i	−0.157356	−	0.700490i
$461$	1.99162	−	18.9490i	0.0927590	−	0.882543i	−0.844885	−	0.534947i	$-0.820331\pi$
$461$	1.99162	−	18.9490i	0.0927590	−	0.882543i	0.937644	−	0.347596i	$-0.113002\pi$
$462$	−0.933165	+	0.0980796i	−0.0434148	+	0.00456308i
$463$	13.0717	+	17.9916i	0.607493	+	0.836142i	0.996368	−	0.0851483i	$-0.0271364\pi$
$463$	13.0717	+	17.9916i	0.607493	+	0.836142i	−0.388876	+	0.921290i	$0.627136\pi$
$464$	−0.424620	−	0.308504i	−0.0197125	−	0.0143220i
$465$	−55.2768	+	32.7695i	−2.56340	+	1.51965i
$466$	−2.14437	−	20.4023i	−0.0993358	−	0.945117i
$467$	2.40886	+	0.782686i	0.111469	+	0.0362184i	0.364220	−	0.931313i	$-0.381336\pi$
$467$	2.40886	+	0.782686i	0.111469	+	0.0362184i	−0.252752	+	0.967531i	$0.581336\pi$
$468$		−	23.0496i		−	1.06547i
$469$	1.59451	+	1.77088i	0.0736276	+	0.0817718i
$470$	1.71852	−	5.50420i	0.0792695	−	0.253890i
$471$	6.12669	+	1.30227i	0.282303	+	0.0600053i
$472$	7.01790	+	6.31895i	0.323025	+	0.290853i
$473$	−1.80804	−	0.190033i	−0.0831339	−	0.00873772i
$474$	51.1275			2.34836
$475$	20.7030	+	6.81073i	0.949919	+	0.312498i
$476$	−0.648274			−0.0297136
$477$	50.5774	+	5.31590i	2.31578	+	0.243398i
$478$	−9.19496	−	8.27918i	−0.420568	−	0.378681i
$479$	−2.65293	−	0.563897i	−0.121215	−	0.0257651i	0.146904	−	0.989151i	$-0.453069\pi$
$479$	−2.65293	−	0.563897i	−0.121215	−	0.0257651i	−0.268120	+	0.963386i	$0.586402\pi$
$480$	−2.29020	−	6.78146i	−0.104533	−	0.309530i
$481$	7.18166	+	7.97605i	0.327456	+	0.363676i
$482$			1.50060i			0.0683504i
$483$	−12.2095	−	3.96711i	−0.555552	−	0.180510i
$484$	−1.12333	−	10.6878i	−0.0510606	−	0.485809i
$485$	−16.0534	−	14.1229i	−0.728949	−	0.641286i
$486$	−23.3950	−	16.9974i	−1.06122	−	0.771019i
$487$	5.07026	+	6.97862i	0.229755	+	0.316231i	0.908293	−	0.418334i	$-0.137386\pi$
$487$	5.07026	+	6.97862i	0.229755	+	0.316231i	−0.678538	+	0.734566i	$0.737386\pi$
$488$	−12.9559	+	1.36172i	−0.586484	+	0.0616420i
$489$	7.88489	−	75.0197i	0.356567	−	3.39251i
$490$	14.8294	+	1.38597i	0.669925	+	0.0626119i
$491$	10.3415	+	4.60434i	0.466707	+	0.207791i	0.626597	−	0.779344i	$-0.284447\pi$
$491$	10.3415	+	4.60434i	0.466707	+	0.207791i	−0.159890	+	0.987135i	$0.551114\pi$
$492$	5.62283	+	26.4533i	0.253497	+	1.19261i
$493$			0.584233i			0.0263125i
$494$	13.0668	+	4.63514i	0.587902	+	0.208545i
$495$	−3.99613	+	7.10956i	−0.179613	+	0.319551i
$496$	−6.00727	+	6.67175i	−0.269734	+	0.299570i
$497$	3.24865	+	2.92510i	0.145722	+	0.131209i
$498$	−2.12487	−	4.77254i	−0.0952178	−	0.213863i
$499$	−13.6520	−	23.6460i	−0.611149	−	1.05854i	−0.991047	−	0.133513i	$-0.957374\pi$
$499$	−13.6520	−	23.6460i	−0.611149	−	1.05854i	0.379898	−	0.925029i	$-0.375959\pi$
$500$	−11.0099	−	1.94495i	−0.492376	−	0.0869810i
$501$	−75.1956			−3.35949
$502$	−4.22359	+	5.81327i	−0.188508	+	0.259459i
$503$	7.63521	−	35.9208i	0.340437	−	1.60163i	−0.391446	−	0.920201i	$-0.628025\pi$
$503$	7.63521	−	35.9208i	0.340437	−	1.60163i	0.731883	−	0.681430i	$-0.238642\pi$
$504$	−4.12815	−	0.877466i	−0.183883	−	0.0390854i
$505$	−8.04959	+	14.3211i	−0.358202	+	0.637281i
$506$	−1.07104	+	3.29633i	−0.0476137	+	0.146540i
$507$	7.99190	+	4.61413i	0.354933	+	0.204921i
$508$	3.18017	+	14.9615i	0.141097	+	0.663810i
$509$	1.61471	+	15.3630i	0.0715709	+	0.680952i	0.970210	+	0.242264i	$0.0778900\pi$
$509$	1.61471	+	15.3630i	0.0715709	+	0.680952i	−0.898639	+	0.438688i	$0.855443\pi$
$510$	−4.60852	+	6.49936i	−0.204069	+	0.287797i
$511$	−0.799384	+	7.60563i	−0.0353627	+	0.336453i
$512$	−0.587785	−	0.809017i	−0.0259767	−	0.0357538i
$513$	48.8503	−	33.5350i	2.15679	−	1.48061i
$514$	1.01154	+	0.734924i	0.0446169	+	0.0324161i
$515$	−16.1340	+	5.44869i	−0.710950	+	0.240098i
$516$	−10.5627	−	4.70284i	−0.464999	−	0.207031i
$517$	−0.964538	+	0.868474i	−0.0424203	+	0.0381954i
$518$	1.70189	−	0.982588i	0.0747768	−	0.0431724i
$519$	−35.8424	−	39.8070i	−1.57331	−	1.74734i
$520$	−6.97351	−	1.39844i	−0.305809	−	0.0613254i
$521$	−1.63681	−	5.03759i	−0.0717100	−	0.220701i	0.908778	−	0.417280i	$-0.137017\pi$
$521$	−1.63681	−	5.03759i	−0.0717100	−	0.220701i	−0.980488	+	0.196579i	$0.937017\pi$
$522$	−0.790784	+	3.72034i	−0.0346117	+	0.162835i
$523$	16.8160	+	37.7693i	0.735311	+	1.65153i	0.758390	+	0.651801i	$0.225986\pi$
$523$	16.8160	+	37.7693i	0.735311	+	1.65153i	−0.0230796	+	0.999734i	$0.507347\pi$
$524$	−7.76061			−0.339024
$525$	−6.07578	+	7.06903i	−0.265169	+	0.308518i
$526$	6.46928	−	11.2051i	0.282074	−	0.488566i
$527$	9.93858	+	1.04459i	0.432931	+	0.0455029i
$528$	−0.334972	+	1.57592i	−0.0145778	+	0.0685830i
$529$	−16.3409	+	18.1484i	−0.710475	+	0.789063i
$530$	4.67685	−	14.9793i	0.203149	−	0.650661i
$531$	21.1472	−	65.0843i	0.917709	−	2.82442i
$532$	1.32758	−	2.16378i	0.0575578	−	0.0938119i
$533$	25.5576	+	8.30417i	1.10702	+	0.359693i
$534$	0.165894	+	0.0738609i	0.00717895	+	0.00319627i
$535$	0.0729767	+	6.32938i	0.00315506	+	0.273643i
$536$	3.73793	−	1.66423i	0.161454	−	0.0718840i
$537$	9.33290	−	20.9620i	0.402744	−	0.904579i
$538$	−26.9814	+	2.83585i	−1.16325	+	0.122262i
$539$	−2.71221	−	1.97054i	−0.116823	−	0.0848771i
$540$	−22.3528	+	20.5981i	−0.961913	+	0.886403i
$541$	−1.46825	−	13.9695i	−0.0631250	−	0.600594i	−0.979663	−	0.200648i	$-0.935695\pi$
$541$	−1.46825	−	13.9695i	−0.0631250	−	0.600594i	0.916538	−	0.399947i	$-0.130971\pi$
$542$	−16.8089	+	15.1348i	−0.722005	+	0.650096i
$543$			52.0812i			2.23502i
$544$	−0.343974	+	1.05864i	−0.0147478	+	0.0453890i
$545$	−11.9134	−	5.14045i	−0.510315	−	0.220193i
$546$	−3.96775	+	4.40664i	−0.169804	+	0.188587i
$547$	−7.01326	+	32.9948i	−0.299865	+	1.41076i	0.527721	+	0.849417i	$0.323046\pi$
$547$	−7.01326	+	32.9948i	−0.299865	+	1.41076i	−0.827587	+	0.561338i	$0.810287\pi$
$548$	4.19072	+	0.440462i	0.179019	+	0.0188156i
$549$	47.2017	+	81.7558i	2.01452	+	3.48925i
$550$	1.90850	+	1.64034i	0.0813788	+	0.0699445i
$551$	−1.95003	−	1.19643i	−0.0830740	−	0.0509696i
$552$	−12.9567	+	17.8334i	−0.551475	+	0.759040i
$553$	−6.91277	−	6.22429i	−0.293961	−	0.264684i
$554$	−0.288258	+	0.320143i	−0.0122469	+	0.0136016i
$555$	2.24752	−	24.0477i	0.0954020	−	1.02077i
$556$	17.1233	−	3.63967i	0.726189	−	0.154356i
$557$	−19.9974	−	11.5455i	−0.847315	−	0.489198i	0.0124290	−	0.999923i	$-0.496044\pi$
$557$	−19.9974	−	11.5455i	−0.847315	−	0.489198i	−0.859744	+	0.510725i	$0.829377\pi$
$558$	61.8741	+	20.1041i	2.61934	+	0.851075i
$559$	−9.29483	+	6.75309i	−0.393130	+	0.285625i
$560$	−0.515929	+	1.19571i	−0.0218020	+	0.0505279i
$561$	1.63834	−	0.729434i	0.0691706	−	0.0307967i
$562$	18.3545	+	25.2628i	0.774238	+	1.06565i
$563$	−18.8622	−	25.9617i	−0.794949	−	1.09415i	−0.993474	−	0.114058i	$-0.963615\pi$
$563$	−18.8622	−	25.9617i	−0.794949	−	1.09415i	0.198525	−	0.980096i	$-0.436385\pi$
$564$	−7.54099	+	3.35746i	−0.317533	+	0.141375i
$565$	−0.803086	−	1.07897i	−0.0337861	−	0.0453926i
$566$	0.676765	+	6.43899i	0.0284465	+	0.270651i
$567$	2.63650	+	12.4038i	0.110723	+	0.520909i
$568$	6.50047	−	3.75305i	0.272754	−	0.157474i
$569$	−5.98460	+	18.4187i	−0.250887	+	0.772152i	0.743725	+	0.668486i	$0.233057\pi$
$569$	−5.98460	+	18.4187i	−0.250887	+	0.772152i	−0.994612	+	0.103666i	$0.966943\pi$
$570$	−12.2557	−	28.6920i	−0.513334	−	1.20177i
$571$	−2.80890	−	8.64491i	−0.117549	−	0.361778i	0.874921	−	0.484265i	$-0.160913\pi$
$571$	−2.80890	−	8.64491i	−0.117549	−	0.361778i	−0.992470	+	0.122487i	$0.960913\pi$
$572$	1.18971	+	1.07122i	0.0497441	+	0.0447898i
$573$	−27.5579	−	2.89646i	−1.15125	−	0.121001i
$574$	2.46020	−	4.26120i	0.102687	−	0.177859i
$575$	14.7261	+	31.1235i	0.614120	+	1.29794i
$576$	−3.62332	+	6.27577i	−0.150971	+	0.261490i
$577$	7.20447	−	9.91610i	0.299926	−	0.412813i	−0.632280	−	0.774740i	$-0.717881\pi$
$577$	7.20447	−	9.91610i	0.299926	−	0.412813i	0.932207	+	0.361927i	$0.117881\pi$
$578$	−14.9896	+	4.87040i	−0.623483	+	0.202582i
$579$	−45.9340	−	9.76357i	−1.90895	−	0.405760i
$580$	1.07759	+	0.464962i	0.0447444	+	0.0193065i
$581$	−0.293715	+	0.903963i	−0.0121854	+	0.0375027i
$582$			30.6086i			1.26877i
$583$	−2.62493	+	2.36350i	−0.108714	+	0.0978862i
$584$	11.9960	+	5.34096i	0.496398	+	0.221010i
$585$	11.2964	+	50.2874i	0.467049	+	2.07913i
$586$	−2.04704	+	19.4763i	−0.0845624	+	0.804557i
$587$	3.56714	−	8.01192i	0.147232	−	0.330687i	−0.824842	−	0.565363i	$-0.808736\pi$
$587$	3.56714	−	8.01192i	0.147232	−	0.330687i	0.972074	+	0.234676i	$0.0754028\pi$
$588$	−12.5325	−	17.2495i	−0.516831	−	0.711356i
$589$	−23.8394	+	31.0334i	−0.982287	+	1.27871i
$590$	−18.4078	−	10.3466i	−0.757837	−	0.425964i
$591$	19.4378	+	8.65427i	0.799565	+	0.355989i
$592$	−0.701560	−	3.30058i	−0.0288339	−	0.135653i
$593$	−30.5116	−	17.6159i	−1.25296	−	0.723398i	−0.281265	−	0.959630i	$-0.590754\pi$
$593$	−30.5116	−	17.6159i	−1.25296	−	0.723398i	−0.971697	+	0.236232i	$0.924087\pi$
$594$	6.69234	−	1.42250i	0.274590	−	0.0583659i
$595$	1.41434	−	0.317713i	0.0579823	−	0.0130250i
$596$	4.29595	+	13.2216i	0.175969	+	0.541577i
$597$	65.9903	−	21.4416i	2.70080	−	0.877544i
$598$	8.90897	+	20.0099i	0.364315	+	0.818264i
$599$	4.25350	−	7.36728i	0.173793	−	0.301019i	−0.765950	−	0.642901i	$-0.777731\pi$
$599$	4.25350	−	7.36728i	0.173793	−	0.301019i	0.939743	+	0.341882i	$0.111064\pi$
$600$	8.32005	+	13.6727i	0.339665	+	0.558185i
$601$	−23.0936			−0.942008			−0.471004	−	0.882131i	$-0.656108\pi$
$601$	−23.0936			−0.942008			−0.471004	+	0.882131i	$0.656108\pi$
$602$	0.855627	+	1.92177i	0.0348727	+	0.0783255i
$603$	−22.0349	−	19.8403i	−0.897330	−	0.807959i
$604$	9.80879	+	2.08492i	0.399114	+	0.0848343i
$605$	7.68876	+	22.7670i	0.312593	+	0.925612i
$606$	23.0040	−	4.88965i	0.934473	−	0.198628i
$607$			31.6283i			1.28375i	0.766809	+	0.641876i	$0.221843\pi$
$607$			31.6283i			1.28375i	−0.766809	+	0.641876i	$0.778157\pi$
$608$	−2.82909	−	3.31606i	−0.114735	−	0.134484i
$609$	0.791600	−	0.575131i	0.0320773	−	0.0233055i
$610$	27.5984	−	9.32040i	1.11743	−	0.377372i
$611$	−0.857374	+	8.15737i	−0.0346856	+	0.330012i
$612$	8.02221	−	0.843168i	0.324279	−	0.0340831i
$613$	9.66525	−	21.7085i	0.390376	−	0.876798i	−0.606293	−	0.795241i	$-0.707344\pi$
$613$	9.66525	−	21.7085i	0.390376	−	0.876798i	0.996669	−	0.0815569i	$-0.0259892\pi$
$614$	4.77188	−	2.12458i	0.192577	−	0.0857410i
$615$	−25.2319	−	54.9575i	−1.01745	−	2.21610i
$616$	0.237144	−	0.172295i	0.00955479	−	0.00694196i
$617$	−5.69977	+	5.13210i	−0.229464	+	0.206610i	−0.775840	−	0.630930i	$-0.782674\pi$
$617$	−5.69977	+	5.13210i	−0.229464	+	0.206610i	0.546376	+	0.837540i	$0.316007\pi$
$618$	21.1121	+	12.1891i	0.849253	+	0.490316i
$619$	1.99837	−	6.15036i	0.0803214	−	0.247204i	−0.902830	−	0.429998i	$-0.858514\pi$
$619$	1.99837	−	6.15036i	0.0803214	−	0.247204i	0.983151	+	0.182794i	$0.0585142\pi$
$620$	9.83630	−	17.4999i	0.395035	−	0.702811i
$621$	91.5642	+	19.4626i	3.67434	+	0.781006i
$622$	−3.11234	−	2.80236i	−0.124793	−	0.112364i
$623$	−0.0134381	−	0.0301826i	−0.000538388	−	0.00120924i
$624$	5.09083	+	8.81758i	0.203796	+	0.352986i
$625$	24.9734	−	1.15252i	0.998937	−	0.0461010i
$626$	29.6332			1.18438
$627$	−0.920414	+	6.96215i	−0.0367578	+	0.278041i
$628$	−1.86096	+	0.604663i	−0.0742604	+	0.0241287i
$629$	−2.51328	+	2.79128i	−0.100211	+	0.111296i
$630$	9.43642	−	0.108801i	0.375956	−	0.00433472i
$631$	−27.2257	−	30.2372i	−1.08384	−	1.20372i	−0.977839	−	0.209358i	$-0.932862\pi$
$631$	−27.2257	−	30.2372i	−1.08384	−	1.20372i	−0.106000	−	0.994366i	$-0.533804\pi$
$632$	−13.8323	+	7.98608i	−0.550219	+	0.317669i
$633$	−39.3952	+	35.4716i	−1.56582	+	1.40987i
$634$	7.70691	−	5.59940i	0.306081	−	0.222381i
$635$	−14.2707	−	31.0829i	−0.566314	−	1.23349i
$636$	−20.5223	+	9.13714i	−0.813764	+	0.362311i
$637$	−21.0703	+	2.21457i	−0.834835	+	0.0877446i
$638$	−0.155274	−	0.213717i	−0.00614737	−	0.00846113i
$639$	−44.0056	−	31.9719i	−1.74083	−	1.26479i
$640$	1.67886	+	1.47696i	0.0663628	+	0.0583821i
$641$	−22.5901	−	10.0578i	−0.892255	−	0.397257i	−0.0911889	−	0.995834i	$-0.529067\pi$
$641$	−22.5901	−	10.0578i	−0.892255	−	0.397257i	−0.801066	+	0.598576i	$0.795733\pi$
$642$	6.73393	−	6.06326i	0.265767	−	0.239298i
$643$	−23.4604	+	13.5449i	−0.925188	+	0.534158i	−0.885287	−	0.465046i	$-0.846038\pi$
$643$	−23.4604	+	13.5449i	−0.925188	+	0.534158i	−0.0399016	+	0.999204i	$0.512704\pi$
$644$	3.92289	−	0.833835i	0.154583	−	0.0328577i
$645$	25.3495	+	5.08348i	0.998137	+	0.200162i
$646$	−1.13523	+	4.71732i	−0.0446649	+	0.185601i
$647$	36.7572	−	11.9431i	1.44507	−	0.469533i	0.521598	−	0.853191i	$-0.325336\pi$
$647$	36.7572	−	11.9431i	1.44507	−	0.469533i	0.923475	+	0.383658i	$0.125336\pi$
$648$	21.6545	+	2.27598i	0.850669	+	0.0894089i
$649$	2.37652	+	4.11626i	0.0932868	+	0.161577i
$650$	15.8995	−	0.366686i	0.623629	−	0.0143826i
$651$	−8.36839	−	14.4945i	−0.327983	−	0.568083i
$652$	9.58481	+	21.5278i	0.375370	+	0.843095i
$653$	−23.9987	+	7.79764i	−0.939140	+	0.305145i	−0.738295	−	0.674478i	$-0.764369\pi$
$653$	−23.9987	+	7.79764i	−0.939140	+	0.305145i	−0.200845	+	0.979623i	$0.564369\pi$
$654$	5.73984	+	17.6654i	0.224445	+	0.690772i
$655$	16.9313	−	3.80340i	0.661561	−	0.148611i
$656$	−5.65323	−	6.27855i	−0.220721	−	0.245136i
$657$		−	95.1573i		−	3.71244i
$658$	1.42833	+	0.464093i	0.0556822	+	0.0180922i
$659$	−2.52303	−	24.0051i	−0.0982834	−	0.935104i	−0.926905	−	0.375295i	$-0.877541\pi$
$659$	−2.52303	−	24.0051i	−0.0982834	−	0.935104i	0.828622	−	0.559809i	$-0.189125\pi$
$660$	−0.0415345	−	3.60234i	−0.00161673	−	0.140221i
$661$	6.75406	−	3.00710i	0.262703	−	0.116963i	−0.271159	−	0.962535i	$-0.587407\pi$
$661$	6.75406	−	3.00710i	0.262703	−	0.116963i	0.533862	+	0.845572i	$0.320740\pi$
$662$	−0.707784	+	1.58971i	−0.0275088	+	0.0617858i
$663$	4.60973	−	10.3536i	0.179027	−	0.402102i
$664$	1.32034	+	0.959285i	0.0512392	+	0.0372275i
$665$	−1.83593	+	5.37136i	−0.0711942	+	0.208292i
$666$	−19.7824	+	14.3728i	−0.766554	+	0.556934i
$667$	−0.751463	−	3.53535i	−0.0290968	−	0.136889i
$668$	20.3438	−	11.7455i	0.787126	−	0.454447i
$669$	−6.57080	−	7.29761i	−0.254042	−	0.282142i
$670$	−7.33942	+	5.46278i	−0.283546	+	0.211046i
$671$	−6.41350	−	1.36323i	−0.247590	−	0.0526269i
$672$	1.77301	−	0.576087i	0.0683955	−	0.0222230i
$673$	−5.40013	+	7.43264i	−0.208160	+	0.286507i	−0.900313	−	0.435243i	$-0.856662\pi$
$673$	−5.40013	+	7.43264i	−0.208160	+	0.286507i	0.692153	+	0.721751i	$0.256662\pi$
$674$	−11.9728	+	20.7375i	−0.461175	+	0.798778i
$675$	38.6722	−	55.8938i	1.48849	−	2.15136i
$676$	−2.88290			−0.110881
$677$	−22.2331	+	30.6012i	−0.854486	+	1.17610i	0.128370	+	0.991726i	$0.459025\pi$
$677$	−22.2331	+	30.6012i	−0.854486	+	1.17610i	−0.982856	+	0.184373i	$0.940975\pi$
$678$	−0.400330	+	1.88341i	−0.0153746	+	0.0723318i
$679$	3.72631	−	4.13849i	0.143003	−	0.158821i
$680$	0.231617	−	2.47822i	0.00888212	−	0.0950355i
$681$	12.4458	−	2.64543i	0.476924	−	0.101373i
$682$	−3.91323	+	2.25930i	−0.149845	+	0.0865132i
$683$	−41.8262	−	13.5902i	−1.60044	−	0.520013i	−0.633220	−	0.773972i	$-0.718267\pi$
$683$	−41.8262	−	13.5902i	−1.60044	−	0.520013i	−0.967215	+	0.253959i	$0.918267\pi$
$684$	−13.6141	+	28.5029i	−0.520548	+	1.08984i
$685$	−9.35876	+	1.09287i	−0.357580	+	0.0417566i
$686$	−0.831623	+	7.91236i	−0.0317515	+	0.302095i
$687$	16.8472	−	37.8394i	0.642760	−	1.44366i
$688$	3.59228	−	0.377564i	0.136954	−	0.0143945i
$689$	−2.33329	+	22.1998i	−0.0888913	+	0.845744i
$690$	19.5277	−	45.2571i	0.743407	−	1.72291i
$691$	−1.35168	+	0.982054i	−0.0514204	+	0.0373591i	−0.613199	−	0.789929i	$-0.710117\pi$
$691$	−1.35168	+	0.982054i	−0.0514204	+	0.0373591i	0.561778	+	0.827288i	$0.310117\pi$
$692$	15.9148	+	5.17104i	0.604991	+	0.196574i
$693$	−1.83959	−	1.06209i	−0.0698801	−	0.0403453i
$694$	−10.1734	−	11.2987i	−0.386178	−	0.428894i
$695$	−35.5741	+	16.3326i	−1.34940	+	0.619531i
$696$	−0.519177	−	1.59786i	−0.0196794	−	0.0605668i
$697$	−1.95528	+	9.19885i	−0.0740614	+	0.348431i
$698$	−13.9358	−	1.46471i	−0.527477	−	0.0554401i
$699$	32.8341	−	56.8703i	1.24190	−	2.15103i
$700$	0.539597	−	2.86153i	0.0203948	−	0.108156i
$701$	1.91290	+	3.31325i	0.0722494	+	0.125140i	0.899887	−	0.436123i	$-0.143649\pi$
$701$	1.91290	+	3.31325i	0.0722494	+	0.125140i	−0.827637	+	0.561263i	$0.810316\pi$
$702$	25.4145	−	34.9801i	0.959209	−	1.32024i
$703$	−4.16976	−	14.1049i	−0.157266	−	0.531976i
$704$	−0.155532	−	0.478679i	−0.00586185	−	0.0180409i
$705$	14.8067	−	11.0207i	0.557653	−	0.415065i
$706$	−26.9661	+	5.73182i	−1.01488	+	0.215720i
$707$	−3.70556	−	2.13941i	−0.139362	−	0.0804607i
$708$	6.28497	+	29.5685i	0.236204	+	1.11125i
$709$	−0.487854	−	4.64162i	−0.0183217	−	0.174320i	0.981534	−	0.191286i	$-0.0612658\pi$
$709$	−0.487854	−	4.64162i	−0.0183217	−	0.174320i	−0.999856	+	0.0169664i	$0.994599\pi$
$710$	−12.3427	+	11.3738i	−0.463215	+	0.426853i
$711$	93.6391	+	68.0328i	3.51174	+	2.55143i
$712$	−0.0564189	+	0.00592987i	−0.00211439	+	0.000222231i
$713$	−61.4846	+	6.46230i	−2.30262	+	0.242015i
$714$	−1.67883	−	1.21974i	−0.0628287	−	0.0456477i
$715$	−3.12058	−	1.75401i	−0.116703	−	0.0655962i
$716$	0.749285	+	7.12898i	0.0280021	+	0.266422i
$717$	−8.23466	−	38.7410i	−0.307529	−	1.44681i
$718$	−24.1975	−	13.9705i	−0.903044	−	0.521373i
$719$	−45.7045	+	9.71479i	−1.70449	+	0.362301i	−0.954284	−	0.298903i	$-0.903379\pi$
$719$	−45.7045	+	9.71479i	−1.70449	+	0.362301i	−0.750207	+	0.661203i	$0.770046\pi$
$720$	4.82929	−	15.4676i	0.179977	−	0.576443i
$721$	−1.37059	−	4.21824i	−0.0510434	−	0.157096i
$722$	−13.4205	−	13.4495i	−0.499459	−	0.500540i
$723$	−2.82341	+	3.88609i	−0.105004	+	0.144525i
$724$	−8.13506	−	14.0903i	−0.302337	−	0.523663i
$725$	−2.57885	−	0.486291i	−0.0957759	−	0.0180604i
$726$	17.2002	−	29.7917i	0.638361	−	1.10567i
$727$	29.2506	+	3.07436i	1.08485	+	0.114022i	0.630035	−	0.776567i	$-0.283040\pi$
$727$	29.2506	+	3.07436i	1.08485	+	0.114022i	0.454810	+	0.890588i	$0.349707\pi$
$728$	0.385143	−	1.81196i	0.0142744	−	0.0671556i
$729$	−8.41931	−	25.9120i	−0.311826	−	0.959703i
$730$	−28.7892	−	5.77325i	−1.06554	−	0.213678i
$731$	−2.69036	−	2.98795i	−0.0995066	−	0.110513i
$732$	−36.1138	−	20.8503i	−1.33480	−	0.770650i
$733$	1.46615	+	0.476380i	0.0541534	+	0.0175955i	0.335968	−	0.941873i	$-0.390936\pi$
$733$	1.46615	+	0.476380i	0.0541534	+	0.0175955i	−0.281815	+	0.959469i	$0.590936\pi$
$734$	9.03537	−	6.56458i	0.333502	−	0.242303i
$735$	35.7959	+	31.4911i	1.32035	+	1.16157i
$736$	0.719814	−	6.84858i	0.0265327	−	0.252442i
$737$	2.04811	−	0.215265i	0.0754432	−	0.00792940i
$738$	−24.9020	+	55.9309i	−0.916657	+	2.05885i
$739$	−0.285751	+	2.71874i	−0.0105115	+	0.100010i	−0.998520	−	0.0543911i	$-0.982678\pi$
$739$	−0.285751	+	2.71874i	−0.0105115	+	0.100010i	0.988008	+	0.154401i	$0.0493449\pi$
$740$	3.14818	+	6.85705i	0.115729	+	0.252070i
$741$	25.1178	+	36.5890i	0.922726	+	1.34413i
$742$	3.88712	+	1.26300i	0.142701	+	0.0463662i
$743$	5.00288	−	2.88842i	0.183538	−	0.105966i	−0.405416	−	0.914132i	$-0.632873\pi$
$743$	5.00288	−	2.88842i	0.183538	−	0.105966i	0.588954	+	0.808167i	$0.299540\pi$
$744$	−28.1100	+	5.97497i	−1.03056	+	0.219053i
$745$	−15.8523	−	26.7401i	−0.580782	−	0.979682i
$746$	−8.11531	+	9.01297i	−0.297123	+	0.329988i
$747$	2.45892	−	11.5683i	0.0899671	−	0.423262i
$748$	−0.329307	+	0.453252i	−0.0120407	+	0.0165725i
$749$	−1.64862			−0.0602392
$750$	−24.8527	−	25.7521i	−0.907492	−	0.940335i
$751$	8.16313	−	14.1390i	0.297877	−	0.515938i	−0.677773	−	0.735271i	$-0.737055\pi$
$751$	8.16313	−	14.1390i	0.297877	−	0.515938i	0.975650	+	0.219333i	$0.0703882\pi$
$752$	1.51574	−	2.08624i	0.0552735	−	0.0760775i
$753$	−21.8756	+	7.10781i	−0.797190	+	0.259023i
$754$	−1.63296	−	0.347096i	−0.0594688	−	0.0126405i
$755$	−22.4216	+	0.258518i	−0.816007	+	0.00940844i
$756$	−5.29738	−	5.88334i	−0.192664	−	0.213975i
$757$	15.5681	−	8.98827i	0.565834	−	0.326684i	−0.189650	−	0.981852i	$-0.560735\pi$
$757$	15.5681	−	8.98827i	0.565834	−	0.326684i	0.755484	+	0.655168i	$0.227402\pi$
$758$	−3.22434	−	15.1693i	−0.117113	−	0.550975i
$759$	−8.97579	+	6.52129i	−0.325801	+	0.236708i
$760$	7.79738	+	5.84814i	0.282841	+	0.212134i
$761$	22.9252	+	16.6561i	0.831036	+	0.603783i	0.919852	−	0.392265i	$-0.128308\pi$
$761$	22.9252	+	16.6561i	0.831036	+	0.603783i	−0.0888159	+	0.996048i	$0.528308\pi$
$762$	−19.9148	+	44.7293i	−0.721435	+	1.62037i
$763$	1.37453	−	3.08725i	0.0497614	−	0.111766i
$764$	7.90810	−	3.52091i	0.286105	−	0.127382i
$765$	−17.0888	+	5.77115i	−0.617848	+	0.208656i
$766$	−3.39874	−	32.3369i	−0.122802	−	1.16838i
$767$	28.5672	+	9.28206i	1.03150	+	0.335156i
$768$		−	3.20104i		−	0.115507i
$769$	25.4648	+	28.2815i	0.918283	+	1.01986i	0.999731	+	0.0231795i	$0.00737894\pi$
$769$	25.4648	+	28.2815i	0.918283	+	1.01986i	−0.0814478	+	0.996678i	$0.525954\pi$
$770$	−0.432936	+	0.492117i	−0.0156019	+	0.0177347i
$771$	1.23679	+	3.80645i	0.0445420	+	0.137086i
$772$	13.9523	−	4.53337i	0.502154	−	0.163160i
$773$	16.5434	+	37.1571i	0.595025	+	1.33645i	0.920442	+	0.390878i	$0.127829\pi$
$773$	16.5434	+	37.1571i	0.595025	+	1.33645i	−0.325417	+	0.945571i	$0.605505\pi$
$774$	−13.0877	−	22.6685i	−0.470426	−	0.814802i
$775$	−12.8833	+	43.0001i	−0.462783	+	1.54461i
$776$	−4.78105	−	8.28102i	−0.171630	−	0.297271i
$777$	6.25614	+	0.657546i	0.224438	+	0.0235893i
$778$	−14.9370	+	4.85331i	−0.535516	+	0.174000i
$779$	−26.6994	−	25.3642i	−0.956606	−	0.908768i
$780$	−15.4281	−	16.7423i	−0.552414	−	0.599472i
$781$	3.69536	−	0.785473i	0.132230	−	0.0281064i
$782$	−6.63835	+	3.83265i	−0.237387	+	0.137055i
$783$	−5.30214	+	4.77407i	−0.189483	+	0.170611i
$784$	6.08496	+	2.70920i	0.217320	+	0.0967571i
$785$	3.76372	−	2.23123i	0.134333	−	0.0796360i
$786$	−20.0976	−	14.6018i	−0.716857	−	0.520827i
$787$	0.136333	+	0.187646i	0.00485973	+	0.00668885i	0.811440	−	0.584436i	$-0.198684\pi$
$787$	0.136333	+	0.187646i	0.00485973	+	0.00668885i	−0.806580	+	0.591125i	$0.798684\pi$
$788$	−6.61060	+	0.694802i	−0.235493	+	0.0247513i
$789$	37.8361	−	16.8457i	1.34700	−	0.599724i
$790$	26.2640	−	24.2023i	0.934432	−	0.861079i
$791$	0.283414	−	0.205913i	0.0100771	−	0.00732141i
$792$	−2.71049	+	2.44054i	−0.0963131	+	0.0867207i
$793$	−35.8848	+	20.7181i	−1.27431	+	0.735721i
$794$	25.3883	+	28.1966i	0.900998	+	1.00066i
$795$	40.2956	−	29.9923i	1.42914	−	1.06372i
$796$	−14.5042	+	16.1086i	−0.514088	+	0.570953i
$797$	43.6453	−	14.1812i	1.54599	−	0.502324i	0.592972	−	0.805223i	$-0.297955\pi$
$797$	43.6453	−	14.1812i	1.54599	−	0.502324i	0.953023	+	0.302899i	$0.0979545\pi$
$798$	7.50922	−	3.10567i	0.265824	−	0.109939i
$799$	−2.87046			−0.101549
$800$	−4.38662	−	2.39950i	−0.155090	−	0.0848350i
$801$	0.205550	+	0.356022i	0.00726274	+	0.0125794i
$802$	10.3526	+	23.2522i	0.365562	+	0.821065i
$803$	4.91154	+	4.42237i	0.173325	+	0.156062i
$804$	12.8114	+	2.72314i	0.451823	+	0.0960379i
$805$	−8.14990	+	3.74174i	−0.287246	+	0.131879i
$806$	−8.82423	+	27.1582i	−0.310820	+	0.956606i
$807$	−75.2091	−	43.4220i	−2.64749	−	1.52853i
$808$	−5.45986	+	4.91608i	−0.192077	+	0.172947i
$809$	0.847787	−	0.615953i	0.0298066	−	0.0216558i	−0.572782	−	0.819708i	$-0.694136\pi$
$809$	0.847787	−	0.615953i	0.0298066	−	0.0216558i	0.602589	+	0.798052i	$0.294136\pi$
$810$	−48.3590	+	5.64715i	−1.69916	+	0.198421i
$811$	26.5749	−	11.8319i	0.933170	−	0.415474i	0.116900	−	0.993144i	$-0.462704\pi$
$811$	26.5749	−	11.8319i	0.933170	−	0.415474i	0.816271	+	0.577670i	$0.196038\pi$
$812$	−0.124329	+	0.279247i	−0.00436308	+	0.00979963i
$813$	−72.0064	+	7.56818i	−2.52538	+	0.265428i
$814$	0.177525	−	1.68904i	0.00622224	−	0.0592007i
$815$	−31.4618	−	42.2699i	−1.10206	−	1.48065i
$816$	−2.88265	+	2.09437i	−0.100913	+	0.0733175i
$817$	15.4825	−	2.86086i	0.541666	−	0.100089i
$818$		−	1.12826i		−	0.0394487i
$819$	−13.1306	+	2.79099i	−0.458820	+	0.0975251i
$820$	15.4107	+	10.9273i	0.538165	+	0.381598i
$821$	52.4552	+	11.1497i	1.83070	+	0.389127i	0.988646	−	0.150265i	$-0.0480127\pi$
$821$	52.4552	+	11.1497i	1.83070	+	0.389127i	0.842055	+	0.539392i	$0.181346\pi$
$822$	10.0239	+	9.02559i	0.349625	+	0.314804i
$823$	−18.6983	−	41.9972i	−0.651783	−	1.46393i	−0.872511	−	0.488594i	$-0.837510\pi$
$823$	−18.6983	−	41.9972i	−0.651783	−	1.46393i	0.220728	−	0.975335i	$-0.429157\pi$
$824$	−7.61570			−0.265306
$825$	1.85609	+	7.83887i	0.0646207	+	0.272915i
$826$	2.74991	−	4.76299i	0.0956817	−	0.165726i
$827$	4.73532	+	10.6357i	0.164663	+	0.369839i	0.976966	−	0.213397i	$-0.0684528\pi$
$827$	4.73532	+	10.6357i	0.164663	+	0.369839i	−0.812302	+	0.583236i	$0.801786\pi$
$828$	−47.4601	+	15.4207i	−1.64935	+	0.535907i
$829$	15.0623	+	46.3569i	0.523134	+	1.61004i	0.767977	+	0.640478i	$0.221264\pi$
$829$	15.0623	+	46.3569i	0.523134	+	1.61004i	−0.244843	+	0.969563i	$0.578736\pi$
$830$	−3.35073	−	1.44578i	−0.116305	−	0.0501839i
$831$	−1.34886	+	0.286708i	−0.0467913	+	0.00994580i
$832$	−2.75460	−	1.59037i	−0.0954986	−	0.0551362i
$833$	−1.54152	−	7.25230i	−0.0534106	−	0.251277i
$834$	51.1922	+	22.7922i	1.77264	+	0.789230i
$835$	−38.6277	+	35.5955i	−1.33677	+	1.23183i
$836$	−0.838470	−	2.02735i	−0.0289991	−	0.0701172i
$837$	71.7332	+	98.7322i	2.47946	+	3.41269i
$838$	−4.21763	+	9.47296i	−0.145696	+	0.327238i
$839$	−1.85927	+	17.6898i	−0.0641891	+	0.610719i	0.914388	+	0.404839i	$0.132672\pi$
$839$	−1.85927	+	17.6898i	−0.0641891	+	0.610719i	−0.978577	+	0.205880i	$0.933994\pi$
$840$	−3.58585	+	2.12579i	−0.123724	+	0.0733466i
$841$	−26.2412	−	11.6833i	−0.904868	−	0.402873i
$842$	7.57977	−	6.82486i	0.261216	−	0.235200i
$843$			99.9572i			3.44271i
$844$	5.11754	−	15.7502i	0.176153	−	0.542144i
$845$	6.28961	−	1.41288i	0.216369	−	0.0486045i
$846$	−18.2788	−	3.88528i	−0.628439	−	0.133579i
$847$	−5.95245	+	1.93407i	−0.204529	+	0.0664554i
$848$	4.12501	−	5.67759i	0.141653	−	0.194969i
$849$	−10.3625	+	17.9483i	−0.355639	+	0.615986i
$850$	0.709233	+	5.52025i	0.0243265	+	0.189343i
$851$	11.6183	−	20.1235i	0.398270	−	0.689823i
$852$	23.8957	+	2.51154i	0.818652	+	0.0860438i
$853$	−18.8108	−	16.9373i	−0.644068	−	0.579922i	0.281007	−	0.959706i	$-0.409332\pi$
$853$	−18.8108	−	16.9373i	−0.644068	−	0.579922i	−0.925075	+	0.379784i	$0.875998\pi$
$854$	2.34450	+	7.21562i	0.0802270	+	0.246913i
$855$	15.7329	−	68.8569i	0.538054	−	2.35486i
$856$	−0.874757	+	2.69222i	−0.0298986	+	0.0920183i
$857$	41.1080	−	23.7337i	1.40422	−	0.810728i	0.409399	−	0.912355i	$-0.365738\pi$
$857$	41.1080	−	23.7337i	1.40422	−	0.810728i	0.994822	+	0.101628i	$0.0324051\pi$
$858$	1.06546	+	5.01258i	0.0363741	+	0.171127i
$859$	4.89510	+	46.5738i	0.167019	+	1.58908i	0.681659	+	0.731670i	$0.261259\pi$
$859$	4.89510	+	46.5738i	0.167019	+	1.58908i	−0.514640	+	0.857406i	$0.672075\pi$
$860$	−7.65224	+	2.58427i	−0.260939	+	0.0881230i
$861$	14.3887	−	6.40626i	0.490366	−	0.218325i
$862$	−21.4745	−	29.5571i	−0.731425	−	1.00672i
$863$	13.9682	+	19.2256i	0.475484	+	0.654448i	0.977629	−	0.210335i	$-0.0674556\pi$
$863$	13.9682	+	19.2256i	0.475484	+	0.654448i	−0.502145	+	0.864783i	$0.667456\pi$
$864$	−12.4184	+	5.52902i	−0.422482	+	0.188101i
$865$	−37.2557	−	3.48196i	−1.26673	−	0.118390i
$866$	−3.41088	+	2.47815i	−0.115906	+	0.0842109i
$867$	−47.9821	−	15.5903i	−1.62956	−	0.529476i
$868$	4.52806	+	2.61428i	0.153692	+	0.0887343i
$869$	−7.86333	+	1.67140i	−0.266745	+	0.0566984i
$870$	1.91578	+	3.23161i	0.0649512	+	0.109562i
$871$	8.70844	−	9.67170i	0.295074	−	0.327713i
$872$	−4.31221	−	3.88273i	−0.146030	−	0.131486i
$873$	−40.7294	+	56.0592i	−1.37848	+	1.89732i
$874$	0.801967	−	30.0060i	0.0271270	−	1.01497i
$875$	0.225169	+	6.50744i	0.00761211	+	0.219992i
$876$	21.0168	+	36.4022i	0.710092	+	1.22991i
$877$	−55.5648	−	5.84009i	−1.87629	−	0.197206i	−0.903450	−	0.428692i	$-0.858974\pi$
$877$	−55.5648	−	5.84009i	−1.87629	−	0.197206i	−0.972838	+	0.231487i	$0.925641\pi$
$878$	−1.13732	+	5.35069i	−0.0383828	+	0.180577i
$879$	−41.9462	+	46.5860i	−1.41481	+	1.57131i
$880$	0.573921	+	0.968110i	0.0193469	+	0.0326350i
$881$	−12.1403	+	37.3639i	−0.409016	+	1.25882i	0.508479	+	0.861075i	$0.330208\pi$
$881$	−12.1403	+	37.3639i	−0.409016	+	1.25882i	−0.917495	+	0.397748i	$0.869792\pi$
$882$		−	48.2685i		−	1.62529i
$883$	25.1291	−	22.6263i	0.845660	−	0.761436i	−0.127433	−	0.991847i	$-0.540674\pi$
$883$	25.1291	−	22.6263i	0.845660	−	0.761436i	0.973093	+	0.230411i	$0.0740072\pi$
$884$	0.370089	+	3.52116i	0.0124474	+	0.118430i
$885$	−28.2031	−	61.4293i	−0.948038	−	2.06492i
$886$	−3.04084	−	2.20930i	−0.102159	−	0.0742229i
$887$	−15.5119	+	1.63037i	−0.520839	+	0.0547423i	−0.361300	−	0.932449i	$-0.617667\pi$
$887$	−15.5119	+	1.63037i	−0.520839	+	0.0547423i	−0.159538	+	0.987192i	$0.551000\pi$
$888$	4.39329	−	9.86749i	0.147429	−	0.331131i
$889$	8.13798	−	3.62326i	0.272939	−	0.121520i
$890$	0.120183	−	0.0405876i	0.00402854	−	0.00136050i
$891$	10.0116	+	4.45744i	0.335400	+	0.149330i
$892$	2.91758	+	0.947980i	0.0976879	+	0.0317407i
$893$	5.87831	−	9.58089i	0.196710	−	0.320612i
$894$	−13.7515	+	42.3228i	−0.459919	+	1.41549i
$895$	−5.12856	−	15.1861i	−0.171429	−	0.507614i
$896$	−0.389696	+	0.432801i	−0.0130188	+	0.0144589i
$897$	−14.5775	+	68.5818i	−0.486729	+	2.28988i
$898$	−22.2973	−	2.34354i	−0.744070	−	0.0782049i
$899$	2.35602	−	4.08074i	0.0785776	−	0.136100i
$900$	−2.95555	+	36.1124i	−0.0985184	+	1.20375i
$901$	−7.81178			−0.260248
$902$	−1.72957	−	3.88467i	−0.0575883	−	0.129345i
$903$	−1.40004	+	6.58667i	−0.0465904	+	0.219191i
$904$	−0.185879	−	0.572078i	−0.00618226	−	0.0190270i
$905$	24.6538	+	26.7540i	0.819520	+	0.889332i
$906$	21.4789	+	23.8548i	0.713590	+	0.792522i
$907$	37.0026	−	21.3635i	1.22865	−	0.709363i	0.261904	−	0.965094i	$-0.415650\pi$
$907$	37.0026	−	21.3635i	1.22865	−	0.709363i	0.966748	+	0.255731i	$0.0823162\pi$
$908$	−2.95394	+	2.65974i	−0.0980298	+	0.0882664i
$909$	48.6379	+	21.6550i	1.61322	+	0.718250i
$910$	0.0477554	+	4.14190i	0.00158308	+	0.137303i
$911$	−0.446804	−	0.324622i	−0.0148033	−	0.0107552i	0.580359	−	0.814361i	$-0.302912\pi$
$911$	−0.446804	−	0.324622i	−0.0148033	−	0.0107552i	−0.595162	+	0.803606i	$0.702912\pi$
$912$	−1.08722	−	13.9106i	−0.0360014	−	0.460625i
$913$	0.482821	+	0.664546i	0.0159790	+	0.0219933i
$914$	1.55061	−	14.7530i	0.0512895	−	0.487987i
$915$	89.0080	+	27.7901i	2.94251	+	0.918712i
$916$	1.35256	+	12.8688i	0.0446900	+	0.425197i
$917$	0.939701	+	4.42095i	0.0310317	+	0.145993i
$918$	13.1042	+	7.56569i	0.432502	+	0.249705i
$919$	−9.76218	+	30.0449i	−0.322025	+	0.991090i	0.650741	+	0.759300i	$0.274458\pi$
$919$	−9.76218	+	30.0449i	−0.322025	+	0.991090i	−0.972766	+	0.231790i	$0.925542\pi$
$920$	1.78600	+	15.2943i	0.0588827	+	0.504238i
$921$	16.3551	+	3.47639i	0.538920	+	0.114551i
$922$	−3.96142	+	18.6370i	−0.130462	+	0.613778i
$923$	14.0333	−	19.3152i	0.461913	−	0.635769i
$924$	0.938305			0.0308680
$925$	−10.2289	−	13.4171i	−0.336326	−	0.441152i
$926$	−11.1194	−	19.2594i	−0.365407	−	0.632904i
$927$	22.4471	+	50.4169i	0.737258	+	1.65591i
$928$	0.390046	+	0.351199i	0.0128039	+	0.0115287i
$929$	23.2669	−	25.8405i	0.763362	−	0.847799i	−0.228707	−	0.973495i	$-0.573450\pi$
$929$	23.2669	−	25.8405i	0.763362	−	0.847799i	0.992069	+	0.125696i	$0.0401164\pi$
$930$	58.3993	−	26.8120i	1.91499	−	0.879201i
$931$	27.3633	+	9.70649i	0.896795	+	0.318117i
$932$			20.5147i			0.671980i
$933$	−2.78729	−	13.1132i	−0.0912519	−	0.429306i
$934$	−2.31385	−	1.03019i	−0.0757115	−	0.0337089i
$935$	0.496314	−	1.15025i	0.0162312	−	0.0376172i
$936$	−2.40934	+	22.9234i	−0.0787519	+	0.749274i
$937$	10.9315	−	1.14894i	0.357115	−	0.0375343i	0.0757278	−	0.997129i	$-0.475872\pi$
$937$	10.9315	−	1.14894i	0.357115	−	0.0375343i	0.281388	+	0.959594i	$0.409205\pi$
$938$	−1.40067	−	1.92785i	−0.0457334	−	0.0629466i
$939$	76.7408	+	55.7554i	2.50434	+	1.81951i
$940$	−2.28445	+	5.29441i	−0.0745106	+	0.172685i
$941$	1.40472	+	13.3650i	0.0457926	+	0.435687i	0.993266	+	0.115854i	$0.0369603\pi$
$941$	1.40472	+	13.3650i	0.0457926	+	0.435687i	−0.947474	+	0.319834i	$0.896373\pi$
$942$	−5.95700	−	1.93555i	−0.194090	−	0.0630635i
$943$		−	58.1797i		−	1.89459i
$944$	−6.31895	−	7.01790i	−0.205664	−	0.228413i
$945$	14.4407	+	10.2395i	0.469755	+	0.333090i
$946$	1.77827	+	0.377984i	0.0578167	+	0.0122893i
$947$	1.68679	+	1.51879i	0.0548133	+	0.0493541i	0.696082	−	0.717962i	$-0.254925\pi$
$947$	1.68679	+	1.51879i	0.0548133	+	0.0493541i	−0.641269	+	0.767316i	$0.721592\pi$
$948$	−50.8474	−	5.34427i	−1.65145	−	0.173574i
$949$	41.7671			1.35582
$950$	−19.8777	−	8.93747i	−0.644917	−	0.289970i
$951$	30.4939			0.988833
$952$	0.644723	+	0.0677631i	0.0208956	+	0.00219622i
$953$	38.7928	+	34.9292i	1.25662	+	1.13147i	0.985636	+	0.168882i	$0.0540158\pi$
$953$	38.7928	+	34.9292i	1.25662	+	1.13147i	0.270984	+	0.962584i	$0.412651\pi$
$954$	−49.7447	−	10.5736i	−1.61054	−	0.342332i
$955$	−15.5275	+	11.5573i	−0.502459	+	0.373984i
$956$	8.27918	+	9.19496i	0.267768	+	0.297386i
$957$		−	0.845613i		−	0.0273348i
$958$	2.57945	+	0.838115i	0.0833383	+	0.0270783i
$959$	−0.256522	−	2.44064i	−0.00828351	−	0.0788124i
$960$	1.56880	+	6.98370i	0.0506327	+	0.225398i
$961$	−40.1269	−	29.1539i	−1.29441	−	0.940447i
$962$	−6.30860	−	8.68304i	−0.203397	−	0.279952i
$963$	20.4012	−	2.14425i	0.657419	−	0.0690975i
$964$	0.156855	−	1.49238i	0.00505197	−	0.0480662i
$965$	−28.2179	+	16.7283i	−0.908367	+	0.538504i
$966$	11.7279	+	5.22162i	0.377340	+	0.168003i
$967$	9.87791	+	46.4719i	0.317652	+	1.49444i	0.790046	+	0.613048i	$0.210057\pi$
$967$	9.87791	+	46.4719i	0.317652	+	1.49444i	−0.472394	+	0.881388i	$0.656610\pi$
$968$			10.7467i			0.345411i
$969$	−11.8156	+	10.0805i	−0.379573	+	0.323831i
$970$	14.4893	+	15.7235i	0.465222	+	0.504853i
$971$	−24.8198	+	27.5652i	−0.796505	+	0.884608i	−0.995439	−	0.0954045i	$-0.969586\pi$
$971$	−24.8198	+	27.5652i	−0.796505	+	0.884608i	0.198934	+	0.980013i	$0.436252\pi$
$972$	21.4901	+	19.3498i	0.689295	+	0.620644i
$973$	−4.14678	−	9.31383i	−0.132940	−	0.298588i
$974$	−4.31302	−	7.47037i	−0.138198	−	0.239366i
$975$	41.8647	+	28.9656i	1.34074	+	0.927641i
$976$	13.0272			0.416991
$977$	−21.1800	+	29.1518i	−0.677609	+	0.932649i	−0.999902	−	0.0139908i	$-0.995546\pi$
$977$	−21.1800	+	29.1518i	−0.677609	+	0.932649i	0.322293	+	0.946640i	$0.395546\pi$
$978$	−15.6834	+	73.7845i	−0.501499	+	2.35937i
$979$	−0.0279289	−	0.00593647i	−0.000892611	−	0.000189730i
$980$	−14.6033	−	2.92848i	−0.466486	−	0.0935468i
$981$	−12.9941	+	39.9916i	−0.414869	+	1.27683i
$982$	−9.80359	−	5.66010i	−0.312845	−	0.180621i
$983$	1.00009	+	4.70504i	0.0318979	+	0.150068i	0.991214	−	0.132265i	$-0.0422251\pi$
$983$	1.00009	+	4.70504i	0.0318979	+	0.150068i	−0.959317	+	0.282333i	$0.908892\pi$
$984$	−2.82690	−	26.8962i	−0.0901183	−	0.857419i
$985$	14.0818	−	4.75564i	0.448685	−	0.151527i
$986$	0.0610690	−	0.581033i	0.00194483	−	0.0185038i
$987$	2.82574	+	3.88929i	0.0899442	+	0.123798i
$988$	−12.5107	−	5.97560i	−0.398018	−	0.190109i
$989$	20.1233	+	14.6204i	0.639884	+	0.464903i
$990$	4.71739	−	6.65290i	0.149929	−	0.211443i
$991$	50.1811	+	22.3421i	1.59406	+	0.709719i	0.995797	−	0.0915836i	$-0.0291929\pi$
$991$	50.1811	+	22.3421i	1.59406	+	0.709719i	0.598259	+	0.801303i	$0.295860\pi$
$992$	6.67175	−	6.00727i	0.211828	−	0.190731i
$993$	−4.82402	+	2.78515i	−0.153086	+	0.0883840i
$994$	−2.92510	−	3.24865i	−0.0927784	−	0.103041i
$995$	23.7492	−	42.2524i	0.752900	−	1.33949i
$996$	1.61437	+	4.96851i	0.0511531	+	0.157433i
$997$	−9.26066	+	43.5680i	−0.293288	+	1.37981i	0.546756	+	0.837292i	$0.315863\pi$
$997$	−9.26066	+	43.5680i	−0.293288	+	1.37981i	−0.840044	+	0.542519i	$0.817471\pi$
$998$	11.1056	+	24.9435i	0.351541	+	0.789574i
$999$	−45.8692			−1.45124

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	950.2.x.a.159.2	✓	400
19.11	even	3	inner	950.2.x.a.809.27	yes	400
25.14	even	10	inner	950.2.x.a.539.27	yes	400
475.239	even	30	inner	950.2.x.a.239.2	yes	400

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
950.2.x.a.159.2	✓	400	1.1	even	1	trivial
950.2.x.a.239.2	yes	400	475.239	even	30	inner
950.2.x.a.539.27	yes	400	25.14	even	10	inner
950.2.x.a.809.27	yes	400	19.11	even	3	inner

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:	\( N \)	\(=\)	\( 950 = 2 \cdot 5^{2} \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	950.x (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.994522 - 0.104528i) q^{2} +(-2.37883 - 2.14191i) q^{3} +(0.978148 + 0.207912i) q^{4} +(-2.23592 + 0.0257798i) q^{5} +(2.14191 + 2.37883i) q^{6} -0.582392i q^{7} +(-0.951057 - 0.309017i) q^{8} +(0.757479 + 7.20693i) q^{9} +O(q^{10})\)	\(q+(-0.994522 - 0.104528i) q^{2} +(-2.37883 - 2.14191i) q^{3} +(0.978148 + 0.207912i) q^{4} +(-2.23592 + 0.0257798i) q^{5} +(2.14191 + 2.37883i) q^{6} -0.582392i q^{7} +(-0.951057 - 0.309017i) q^{8} +(0.757479 + 7.20693i) q^{9} +(2.22637 + 0.208079i) q^{10} +(-0.407189 - 0.295840i) q^{11} +(-1.88152 - 2.58969i) q^{12} +(-3.16332 + 0.332478i) q^{13} +(-0.0608765 + 0.579201i) q^{14} +(5.37410 + 4.72781i) q^{15} +(0.913545 + 0.406737i) q^{16} +(-0.231432 - 1.08880i) q^{17} -7.24663i q^{18} +(4.10809 + 1.45725i) q^{19} +(-2.19242 - 0.439657i) q^{20} +(-1.24743 + 1.38541i) q^{21} +(0.374035 + 0.336782i) q^{22} +(2.80091 + 6.29095i) q^{23} +(1.60052 + 2.77218i) q^{24} +(4.99867 - 0.115283i) q^{25} +3.18074 q^{26} +(7.99013 - 10.9975i) q^{27} +(0.121086 - 0.569665i) q^{28} +(-0.513389 - 0.109124i) q^{29} +(-4.85047 - 5.26366i) q^{30} +(-2.77427 + 8.53832i) q^{31} +(-0.866025 - 0.500000i) q^{32} +(0.334972 + 1.57592i) q^{33} +(0.116353 + 1.10703i) q^{34} +(0.0150139 + 1.30218i) q^{35} +(-0.757479 + 7.20693i) q^{36} +(-1.98337 - 2.72988i) q^{37} +(-3.93326 - 1.87868i) q^{38} +(8.23714 + 5.98463i) q^{39} +(2.13445 + 0.666419i) q^{40} +(-7.71820 - 3.43636i) q^{41} +(1.38541 - 1.24743i) q^{42} +(3.12814 - 1.80603i) q^{43} +(-0.336782 - 0.374035i) q^{44} +(-1.87946 - 16.0946i) q^{45} +(-2.12798 - 6.54926i) q^{46} +(0.536150 - 2.52239i) q^{47} +(-1.30198 - 2.92429i) q^{48} +6.66082 q^{49} +(-4.98334 - 0.407852i) q^{50} +(-1.78158 + 3.08578i) q^{51} +(-3.16332 - 0.332478i) q^{52} +(1.45910 - 6.86453i) q^{53} +(-9.09591 + 10.1020i) q^{54} +(0.918069 + 0.650978i) q^{55} +(-0.179969 + 0.553887i) q^{56} +(-6.65116 - 12.2657i) q^{57} +(0.499170 + 0.162190i) q^{58} +(-8.62708 - 3.84103i) q^{59} +(4.27369 + 5.74184i) q^{60} +(11.9010 - 5.29865i) q^{61} +(3.65157 - 8.20156i) q^{62} +(4.19726 - 0.441150i) q^{63} +(0.809017 + 0.587785i) q^{64} +(7.06435 - 0.824943i) q^{65} +(-0.168408 - 1.60230i) q^{66} +(-3.04071 + 2.73787i) q^{67} -1.11312i q^{68} +(6.81175 - 20.9644i) q^{69} +(0.121183 - 1.29662i) q^{70} +(-5.02256 + 5.57812i) q^{71} +(1.50666 - 7.08827i) q^{72} +(-13.0593 - 1.37259i) q^{73} +(1.68716 + 2.92225i) q^{74} +(-12.1379 - 10.4325i) q^{75} +(3.71534 + 2.27953i) q^{76} +(-0.172295 + 0.237144i) q^{77} +(-7.56645 - 6.81286i) q^{78} +(10.6875 - 11.8696i) q^{79} +(-2.05310 - 0.885879i) q^{80} +(-21.2980 + 4.52702i) q^{81} +(7.31672 + 4.22431i) q^{82} +(-1.55216 - 0.504326i) q^{83} +(-1.50822 + 1.09578i) q^{84} +(0.545531 + 2.42850i) q^{85} +(-3.29979 + 1.46916i) q^{86} +(0.987533 + 1.35922i) q^{87} +(0.295840 + 0.407189i) q^{88} +(0.0518252 - 0.0230741i) q^{89} +(0.186817 + 16.2029i) q^{90} +(0.193632 + 1.84229i) q^{91} +(1.43174 + 6.73582i) q^{92} +(24.8879 - 14.3690i) q^{93} +(-0.796874 + 2.45253i) q^{94} +(-9.22293 - 3.15239i) q^{95} +(0.989174 + 3.04437i) q^{96} +(7.10602 + 6.39829i) q^{97} +(-6.62433 - 0.696245i) q^{98} +(1.82366 - 3.15868i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 400 q - 50 q^{4} + 2 q^{5} - 50 q^{9}+O(q^{10}) \) 400 * q - 50 * q^4 + 2 * q^5 - 50 * q^9	\( 400 q - 50 q^{4} + 2 q^{5} - 50 q^{9} - 12 q^{11} + 8 q^{14} - 18 q^{15} + 50 q^{16} - 10 q^{17} - 12 q^{19} + 4 q^{20} - 32 q^{21} + 20 q^{22} + 30 q^{23} - 14 q^{25} + 60 q^{27} + 24 q^{29} - 52 q^{30} + 20 q^{33} + 8 q^{34} - 8 q^{35} + 50 q^{36} - 24 q^{39} - 16 q^{41} + 4 q^{44} - 144 q^{45} - 32 q^{46} + 120 q^{47} - 440 q^{49} - 40 q^{50} + 52 q^{51} + 40 q^{53} - 12 q^{54} - 88 q^{55} + 16 q^{56} + 48 q^{59} - 2 q^{60} - 28 q^{61} + 10 q^{63} + 100 q^{64} + 152 q^{65} + 16 q^{66} - 80 q^{67} - 16 q^{69} + 8 q^{70} - 14 q^{71} + 80 q^{73} - 104 q^{75} - 8 q^{76} - 80 q^{77} + 60 q^{78} - 8 q^{79} + 2 q^{80} + 106 q^{81} + 80 q^{83} + 56 q^{84} + 78 q^{85} - 20 q^{86} + 80 q^{87} + 12 q^{89} + 78 q^{90} - 8 q^{91} - 20 q^{92} + 4 q^{95} - 30 q^{97} - 40 q^{98} - 12 q^{99}+O(q^{100}) \) 400 * q - 50 * q^4 + 2 * q^5 - 50 * q^9 - 12 * q^11 + 8 * q^14 - 18 * q^15 + 50 * q^16 - 10 * q^17 - 12 * q^19 + 4 * q^20 - 32 * q^21 + 20 * q^22 + 30 * q^23 - 14 * q^25 + 60 * q^27 + 24 * q^29 - 52 * q^30 + 20 * q^33 + 8 * q^34 - 8 * q^35 + 50 * q^36 - 24 * q^39 - 16 * q^41 + 4 * q^44 - 144 * q^45 - 32 * q^46 + 120 * q^47 - 440 * q^49 - 40 * q^50 + 52 * q^51 + 40 * q^53 - 12 * q^54 - 88 * q^55 + 16 * q^56 + 48 * q^59 - 2 * q^60 - 28 * q^61 + 10 * q^63 + 100 * q^64 + 152 * q^65 + 16 * q^66 - 80 * q^67 - 16 * q^69 + 8 * q^70 - 14 * q^71 + 80 * q^73 - 104 * q^75 - 8 * q^76 - 80 * q^77 + 60 * q^78 - 8 * q^79 + 2 * q^80 + 106 * q^81 + 80 * q^83 + 56 * q^84 + 78 * q^85 - 20 * q^86 + 80 * q^87 + 12 * q^89 + 78 * q^90 - 8 * q^91 - 20 * q^92 + 4 * q^95 - 30 * q^97 - 40 * q^98 - 12 * q^99

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