LMFDB - Embedded newform 504.2.cz.b.187.11

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [504,2,Mod(187,504)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(504, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 3, 4, 5]))

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

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

chi := DirichletCharacter("504.187");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 504 = 2^{3} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	504.cz (of order $6$, degree $2$, 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:	$4.02446026187$
Analytic rank:	$0$
Dimension:	$180$
Relative dimension:	$90$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			187.11
Character	$\chi$	$=$	504.187
Dual form			504.2.cz.b.283.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.33082 - 0.478466i) q^{2} +(-0.622274 + 1.61641i) q^{3} +(1.54214 + 1.27350i) q^{4} +0.133301 q^{5} +(1.60153 - 1.85340i) q^{6} +(-0.788476 - 2.52553i) q^{7} +(-1.44298 - 2.43266i) q^{8} +(-2.22555 - 2.01170i) q^{9} +O(q^{10})$	\(q+(-1.33082 - 0.478466i) q^{2} +(-0.622274 + 1.61641i) q^{3} +(1.54214 + 1.27350i) q^{4} +0.133301 q^{5} +(1.60153 - 1.85340i) q^{6} +(-0.788476 - 2.52553i) q^{7} +(-1.44298 - 2.43266i) q^{8} +(-2.22555 - 2.01170i) q^{9} +(-0.177399 - 0.0637802i) q^{10} -1.48508 q^{11} +(-3.01813 + 1.70026i) q^{12} +(3.28844 + 5.69575i) q^{13} +(-0.159065 + 3.73827i) q^{14} +(-0.0829499 + 0.215469i) q^{15} +(0.756390 + 3.92783i) q^{16} +(-5.62808 + 3.24937i) q^{17} +(1.99926 + 3.74205i) q^{18} +(-4.14176 - 2.39124i) q^{19} +(0.205569 + 0.169759i) q^{20} +(4.57294 + 0.297074i) q^{21} +(1.97637 + 0.710562i) q^{22} -2.65368i q^{23} +(4.83009 - 0.818657i) q^{24} -4.98223 q^{25} +(-1.65109 - 9.15341i) q^{26} +(4.63663 - 2.34557i) q^{27} +(2.00033 - 4.89885i) q^{28} +(-7.03454 - 4.06139i) q^{29} +(0.213486 - 0.247061i) q^{30} +(1.99269 - 3.45144i) q^{31} +(0.872722 - 5.58913i) q^{32} +(0.924128 - 2.40050i) q^{33} +(9.04466 - 1.63147i) q^{34} +(-0.105105 - 0.336656i) q^{35} +(-0.870207 - 5.93656i) q^{36} +(0.749111 + 0.432499i) q^{37} +(4.36778 + 5.16400i) q^{38} +(-11.2530 + 1.77115i) q^{39} +(-0.192350 - 0.324276i) q^{40} +(-6.96434 + 4.02087i) q^{41} +(-5.94359 - 2.58335i) q^{42} +(2.47844 - 4.29279i) q^{43} +(-2.29020 - 1.89125i) q^{44} +(-0.296668 - 0.268162i) q^{45} +(-1.26970 + 3.53156i) q^{46} +(-1.39721 - 2.42004i) q^{47} +(-6.81966 - 1.22156i) q^{48} +(-5.75661 + 3.98264i) q^{49} +(6.63043 + 2.38383i) q^{50} +(-1.75010 - 11.1193i) q^{51} +(-2.18231 + 12.9715i) q^{52} +(1.46739 - 0.847199i) q^{53} +(-7.29277 + 0.903046i) q^{54} -0.197963 q^{55} +(-5.00600 + 5.56237i) q^{56} +(6.44253 - 5.20676i) q^{57} +(7.41844 + 8.77076i) q^{58} +(-8.15458 - 4.70805i) q^{59} +(-0.402321 + 0.226647i) q^{60} +(1.38926 + 2.40626i) q^{61} +(-4.30330 + 3.63979i) q^{62} +(-3.32581 + 7.20687i) q^{63} +(-3.83564 + 7.02053i) q^{64} +(0.438354 + 0.759251i) q^{65} +(-2.37840 + 2.75245i) q^{66} +(-1.71286 + 2.96675i) q^{67} +(-12.8174 - 2.15638i) q^{68} +(4.28943 + 1.65132i) q^{69} +(-0.0212036 + 0.498317i) q^{70} -4.12251i q^{71} +(-1.68236 + 8.31683i) q^{72} +(10.0062 - 5.77710i) q^{73} +(-0.789992 - 0.934001i) q^{74} +(3.10031 - 8.05332i) q^{75} +(-3.34191 - 8.96216i) q^{76} +(1.17095 + 3.75062i) q^{77} +(15.8231 + 3.02710i) q^{78} +(-9.28529 + 5.36086i) q^{79} +(0.100828 + 0.523585i) q^{80} +(0.906138 + 8.95427i) q^{81} +(11.1921 - 2.01883i) q^{82} +(9.02038 + 5.20792i) q^{83} +(6.67378 + 6.28177i) q^{84} +(-0.750230 + 0.433146i) q^{85} +(-5.35231 + 4.52706i) q^{86} +(10.9423 - 8.84339i) q^{87} +(2.14294 + 3.61269i) q^{88} +(0.983986 + 0.568104i) q^{89} +(0.266504 + 0.498820i) q^{90} +(11.7919 - 12.7960i) q^{91} +(3.37947 - 4.09235i) q^{92} +(4.33894 + 5.36874i) q^{93} +(0.701521 + 3.88914i) q^{94} +(-0.552101 - 0.318756i) q^{95} +(8.49124 + 4.88865i) q^{96} +(-5.97076 - 3.44722i) q^{97} +(9.56655 - 2.54582i) q^{98} +(3.30512 + 2.98754i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 180 q + 3 q^{2} + q^{4} + 6 q^{6} - 8 q^{9}+O(q^{10}) $ 180 * q + 3 * q^2 + q^4 + 6 * q^6 - 8 * q^9	$ 180 q + 3 q^{2} + q^{4} + 6 q^{6} - 8 q^{9} + 16 q^{11} - 3 q^{12} + 7 q^{14} - 7 q^{16} - 18 q^{17} - 13 q^{18} - 6 q^{19} - 36 q^{20} - 16 q^{22} - 24 q^{24} + 156 q^{25} - 6 q^{26} + 16 q^{28} - 8 q^{30} + 13 q^{32} - 36 q^{33} + 12 q^{34} - 12 q^{35} + 2 q^{36} + 42 q^{41} + 31 q^{42} + 14 q^{43} - 21 q^{44} - 12 q^{46} + 9 q^{48} + 20 q^{49} + 15 q^{50} - 42 q^{51} - 12 q^{54} - 40 q^{56} - 26 q^{57} - 38 q^{58} + 18 q^{59} - 38 q^{60} - 8 q^{64} - 12 q^{65} - 21 q^{66} - 14 q^{67} - 42 q^{70} + 5 q^{72} + 18 q^{73} - 98 q^{74} - 48 q^{75} + 12 q^{76} - 33 q^{78} - 63 q^{80} + 8 q^{81} - 54 q^{82} - 6 q^{83} - 77 q^{84} + 26 q^{86} - 58 q^{88} - 66 q^{89} + 51 q^{90} + 2 q^{91} - 60 q^{92} + 9 q^{94} - 30 q^{96} + 6 q^{97} + 31 q^{98} + 4 q^{99}+O(q^{100}) $ 180 * q + 3 * q^2 + q^4 + 6 * q^6 - 8 * q^9 + 16 * q^11 - 3 * q^12 + 7 * q^14 - 7 * q^16 - 18 * q^17 - 13 * q^18 - 6 * q^19 - 36 * q^20 - 16 * q^22 - 24 * q^24 + 156 * q^25 - 6 * q^26 + 16 * q^28 - 8 * q^30 + 13 * q^32 - 36 * q^33 + 12 * q^34 - 12 * q^35 + 2 * q^36 + 42 * q^41 + 31 * q^42 + 14 * q^43 - 21 * q^44 - 12 * q^46 + 9 * q^48 + 20 * q^49 + 15 * q^50 - 42 * q^51 - 12 * q^54 - 40 * q^56 - 26 * q^57 - 38 * q^58 + 18 * q^59 - 38 * q^60 - 8 * q^64 - 12 * q^65 - 21 * q^66 - 14 * q^67 - 42 * q^70 + 5 * q^72 + 18 * q^73 - 98 * q^74 - 48 * q^75 + 12 * q^76 - 33 * q^78 - 63 * q^80 + 8 * q^81 - 54 * q^82 - 6 * q^83 - 77 * q^84 + 26 * q^86 - 58 * q^88 - 66 * q^89 + 51 * q^90 + 2 * q^91 - 60 * q^92 + 9 * q^94 - 30 * q^96 + 6 * q^97 + 31 * q^98 + 4 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/504\mathbb{Z}\right)^\times$.

$n$	$73$	$127$	$253$	$281$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$-1$	$-1$	$e\left(\frac{2}{3}\right)$

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 $

$2$	−1.33082	−	0.478466i	−0.941029	−	0.338327i
$2$	−1.33082	−	0.478466i	−0.941029	−	0.338327i
$3$	−0.622274	+	1.61641i	−0.359270	+	0.933234i
$3$	−0.622274	+	1.61641i	−0.359270	+	0.933234i
$4$	1.54214	+	1.27350i	0.771070	+	0.636751i
$5$	0.133301			0.0596141			0.0298071	−	0.999556i	$-0.490511\pi$
$5$	0.133301			0.0596141			0.0298071	+	0.999556i	$0.490511\pi$
$6$	1.60153	−	1.85340i	0.653822	−	0.756649i
$7$	−0.788476	−	2.52553i	−0.298016	−	0.954561i
$7$	−0.788476	−	2.52553i	−0.298016	−	0.954561i
$8$	−1.44298	−	2.43266i	−0.510169	−	0.860074i
$9$	−2.22555	−	2.01170i	−0.741850	−	0.670566i
$10$	−0.177399	−	0.0637802i	−0.0560986	−	0.0201691i
$11$	−1.48508			−0.447769			−0.223884	−	0.974616i	$-0.571874\pi$
$11$	−1.48508			−0.447769			−0.223884	+	0.974616i	$0.571874\pi$
$12$	−3.01813	+	1.70026i	−0.871259	+	0.490823i
$13$	3.28844	+	5.69575i	0.912050	+	1.57972i	0.811163	+	0.584820i	$0.198835\pi$
$13$	3.28844	+	5.69575i	0.912050	+	1.57972i	0.100887	+	0.994898i	$0.467832\pi$
$14$	−0.159065	+	3.73827i	−0.0425120	+	0.999096i
$15$	−0.0829499	+	0.215469i	−0.0214176	+	0.0556339i
$16$	0.756390	+	3.92783i	0.189097	+	0.981958i
$17$	−5.62808	+	3.24937i	−1.36501	+	0.788089i	−0.990286	−	0.139047i	$-0.955596\pi$
$17$	−5.62808	+	3.24937i	−1.36501	+	0.788089i	−0.374725	+	0.927136i	$0.622263\pi$
$18$	1.99926	+	3.74205i	0.471231	+	0.882010i
$19$	−4.14176	−	2.39124i	−0.950184	−	0.548589i	−0.0570459	−	0.998372i	$-0.518168\pi$
$19$	−4.14176	−	2.39124i	−0.950184	−	0.548589i	−0.893138	+	0.449783i	$0.851501\pi$
$20$	0.205569	+	0.169759i	0.0459667	+	0.0379593i
$21$	4.57294	+	0.297074i	0.997897	+	0.0648268i
$22$	1.97637	+	0.710562i	0.421363	+	0.151492i
$23$		−	2.65368i		−	0.553331i	−0.960966	−	0.276665i	$-0.910771\pi$
$23$		−	2.65368i		−	0.553331i	0.960966	−	0.276665i	$-0.0892294\pi$
$24$	4.83009	−	0.818657i	0.985939	−	0.167108i
$25$	−4.98223			−0.996446
$26$	−1.65109	−	9.15341i	−0.323805	−	1.79513i
$27$	4.63663	−	2.34557i	0.892319	−	0.451405i
$28$	2.00033	−	4.89885i	0.378026	−	0.925795i
$29$	−7.03454	−	4.06139i	−1.30628	−	0.754182i	−0.324808	−	0.945780i	$-0.605300\pi$
$29$	−7.03454	−	4.06139i	−1.30628	−	0.754182i	−0.981473	+	0.191598i	$0.938633\pi$
$30$	0.213486	−	0.247061i	0.0389770	−	0.0451070i
$31$	1.99269	−	3.45144i	0.357898	−	0.619897i	−0.629712	−	0.776829i	$-0.716827\pi$
$31$	1.99269	−	3.45144i	0.357898	−	0.619897i	0.987609	+	0.156932i	$0.0501603\pi$
$32$	0.872722	−	5.58913i	0.154277	−	0.988028i
$33$	0.924128	−	2.40050i	0.160870	−	0.417873i
$34$	9.04466	−	1.63147i	1.55115	−	0.279795i
$35$	−0.105105	−	0.336656i	−0.0177660	−	0.0569053i
$36$	−0.870207	−	5.93656i	−0.145035	−	0.989427i
$37$	0.749111	+	0.432499i	0.123153	+	0.0711024i	0.560311	−	0.828282i	$-0.310682\pi$
$37$	0.749111	+	0.432499i	0.123153	+	0.0711024i	−0.437158	+	0.899385i	$0.644015\pi$
$38$	4.36778	+	5.16400i	0.708548	+	0.837711i
$39$	−11.2530	+	1.77115i	−1.80192	+	0.283610i
$40$	−0.192350	−	0.324276i	−0.0304133	−	0.0512726i
$41$	−6.96434	+	4.02087i	−1.08765	+	0.627954i	−0.932949	−	0.360008i	$-0.882774\pi$
$41$	−6.96434	+	4.02087i	−1.08765	+	0.627954i	−0.154699	+	0.987962i	$0.549441\pi$
$42$	−5.94359	−	2.58335i	−0.917117	−	0.398619i
$43$	2.47844	−	4.29279i	0.377959	−	0.654644i	−0.612806	−	0.790233i	$-0.709959\pi$
$43$	2.47844	−	4.29279i	0.377959	−	0.654644i	0.990765	+	0.135589i	$0.0432927\pi$
$44$	−2.29020	−	1.89125i	−0.345261	−	0.285117i
$45$	−0.296668	−	0.268162i	−0.0442247	−	0.0399752i
$46$	−1.26970	+	3.53156i	−0.187207	+	0.520700i
$47$	−1.39721	−	2.42004i	−0.203804	−	0.352999i	0.745947	−	0.666005i	$-0.231997\pi$
$47$	−1.39721	−	2.42004i	−0.203804	−	0.352999i	−0.949751	+	0.313006i	$0.898664\pi$
$48$	−6.81966	−	1.22156i	−0.984334	−	0.176316i
$49$	−5.75661	+	3.98264i	−0.822373	+	0.568949i
$50$	6.63043	+	2.38383i	0.937684	+	0.337125i
$51$	−1.75010	−	11.1193i	−0.245064	−	1.55701i
$52$	−2.18231	+	12.9715i	−0.302632	+	1.79882i
$53$	1.46739	−	0.847199i	0.201562	−	0.116372i	−0.395822	−	0.918327i	$-0.629540\pi$
$53$	1.46739	−	0.847199i	0.201562	−	0.116372i	0.597384	+	0.801955i	$0.296207\pi$
$54$	−7.29277	+	0.903046i	−0.992420	+	0.122889i
$55$	−0.197963			−0.0266934
$56$	−5.00600	+	5.56237i	−0.668955	+	0.743303i
$57$	6.44253	−	5.20676i	0.853335	−	0.689652i
$58$	7.41844	+	8.77076i	0.974088	+	1.15166i
$59$	−8.15458	−	4.70805i	−1.06164	−	0.612936i	−0.135752	−	0.990743i	$-0.543345\pi$
$59$	−8.15458	−	4.70805i	−1.06164	−	0.612936i	−0.925884	+	0.377807i	$0.876678\pi$
$60$	−0.402321	+	0.226647i	−0.0519394	+	0.0292600i
$61$	1.38926	+	2.40626i	0.177876	+	0.308090i	0.941153	−	0.337981i	$-0.109744\pi$
$61$	1.38926	+	2.40626i	0.177876	+	0.308090i	−0.763277	+	0.646072i	$0.776411\pi$
$62$	−4.30330	+	3.63979i	−0.546520	+	0.462254i
$63$	−3.32581	+	7.20687i	−0.419013	+	0.907980i
$64$	−3.83564	+	7.02053i	−0.479455	+	0.877566i
$65$	0.438354	+	0.759251i	0.0543711	+	0.0941735i
$66$	−2.37840	+	2.75245i	−0.292761	+	0.338804i
$67$	−1.71286	+	2.96675i	−0.209259	+	0.362447i	−0.951481	−	0.307707i	$-0.900438\pi$
$67$	−1.71286	+	2.96675i	−0.209259	+	0.362447i	0.742223	+	0.670153i	$0.233772\pi$
$68$	−12.8174	−	2.15638i	−1.55433	−	0.261499i
$69$	4.28943	+	1.65132i	0.516387	+	0.198795i
$70$	−0.0212036	+	0.498317i	−0.00253431	+	0.0595602i
$71$		−	4.12251i		−	0.489252i	−0.969618	−	0.244626i	$-0.921335\pi$
$71$		−	4.12251i		−	0.489252i	0.969618	−	0.244626i	$-0.0786652\pi$
$72$	−1.68236	+	8.31683i	−0.198268	+	0.980148i
$73$	10.0062	−	5.77710i	1.17114	−	0.676159i	0.217193	−	0.976129i	$-0.430310\pi$
$73$	10.0062	−	5.77710i	1.17114	−	0.676159i	0.953949	+	0.299970i	$0.0969766\pi$
$74$	−0.789992	−	0.934001i	−0.0918347	−	0.108575i
$75$	3.10031	−	8.05332i	0.357994	−	0.929917i
$76$	−3.34191	−	8.96216i	−0.383344	−	1.02803i
$77$	1.17095	+	3.75062i	0.133442	+	0.427423i
$78$	15.8231	+	3.02710i	1.79161	+	0.342752i
$79$	−9.28529	+	5.36086i	−1.04468	+	0.603144i	−0.921154	−	0.389198i	$-0.872752\pi$
$79$	−9.28529	+	5.36086i	−1.04468	+	0.603144i	−0.123522	+	0.992342i	$0.539419\pi$
$80$	0.100828	+	0.523585i	0.0112729	+	0.0585386i
$81$	0.906138	+	8.95427i	0.100682	+	0.994919i
$82$	11.1921	−	2.01883i	1.23596	−	0.222942i
$83$	9.02038	+	5.20792i	0.990115	+	0.571643i	0.905309	−	0.424754i	$-0.139639\pi$
$83$	9.02038	+	5.20792i	0.990115	+	0.571643i	0.0848066	+	0.996397i	$0.472973\pi$
$84$	6.67378	+	6.28177i	0.728169	+	0.685397i
$85$	−0.750230	+	0.433146i	−0.0813739	+	0.0469812i
$86$	−5.35231	+	4.52706i	−0.577154	+	0.488165i
$87$	10.9423	−	8.84339i	1.17314	−	0.948111i
$88$	2.14294	+	3.61269i	0.228438	+	0.385115i
$89$	0.983986	+	0.568104i	0.104302	+	0.0602189i	0.551244	−	0.834344i	$-0.314153\pi$
$89$	0.983986	+	0.568104i	0.104302	+	0.0602189i	−0.446941	+	0.894563i	$0.647487\pi$
$90$	0.266504	+	0.498820i	0.0280920	+	0.0525802i
$91$	11.7919	−	12.7960i	1.23613	−	1.34139i
$92$	3.37947	−	4.09235i	0.352334	−	0.426657i
$93$	4.33894	+	5.36874i	0.449927	+	0.556713i
$94$	0.701521	+	3.88914i	0.0723564	+	0.401134i
$95$	−0.552101	−	0.318756i	−0.0566444	−	0.0327037i
$96$	8.49124	+	4.88865i	0.866633	+	0.498945i
$97$	−5.97076	−	3.44722i	−0.606238	−	0.350012i	0.165253	−	0.986251i	$-0.447156\pi$
$97$	−5.97076	−	3.44722i	−0.606238	−	0.350012i	−0.771492	+	0.636239i	$0.780489\pi$
$98$	9.56655	−	2.54582i	0.966367	−	0.257166i
$99$	3.30512	+	2.98754i	0.332177	+	0.300259i
$100$	−7.68330	−	6.34488i	−0.768330	−	0.634488i
$101$	11.9590			1.18996			0.594982	−	0.803739i	$-0.297159\pi$
$101$	11.9590			1.18996			0.594982	+	0.803739i	$0.297159\pi$
$102$	−2.99114	+	15.6351i	−0.296167	+	1.54810i
$103$	−15.3900			−1.51642			−0.758210	−	0.652011i	$-0.773926\pi$
$103$	−15.3900			−1.51642			−0.758210	+	0.652011i	$0.773926\pi$
$104$	9.11067	−	16.2185i	0.893375	−	1.59035i
$105$	0.609578	+	0.0396003i	0.0594887	+	0.00386459i
$106$	−2.35818	+	0.425368i	−0.229047	+	0.0413154i
$107$	−6.58308	+	11.4022i	−0.636410	+	1.10229i	0.349804	+	0.936823i	$0.386248\pi$
$107$	−6.58308	+	11.4022i	−0.636410	+	1.10229i	−0.986215	+	0.165472i	$0.947085\pi$
$108$	10.1374	+	2.28756i	0.975473	+	0.220120i
$109$	−8.57025	+	4.94803i	−0.820881	+	0.473936i	−0.850720	−	0.525619i	$-0.823834\pi$
$109$	−8.57025	+	4.94803i	−0.820881	+	0.473936i	0.0298394	+	0.999555i	$0.490500\pi$
$110$	0.263452	+	0.0947188i	0.0251192	+	0.00903108i
$111$	−1.16525	+	0.941735i	−0.110600	+	0.0893855i
$112$	9.32347	−	5.00729i	0.880985	−	0.473144i
$113$	−1.67254	−	2.89693i	−0.157339	−	0.272520i	0.776569	−	0.630032i	$-0.216958\pi$
$113$	−1.67254	−	2.89693i	−0.157339	−	0.272520i	−0.933908	+	0.357512i	$0.883625\pi$
$114$	−11.0651	+	3.84670i	−1.03634	+	0.360276i
$115$		−	0.353739i		−	0.0329863i
$116$	−5.67605	−	15.2217i	−0.527008	−	1.41330i
$117$	4.13954	−	19.2915i	0.382701	−	1.78350i
$118$	8.59960	+	10.1672i	0.791658	+	0.935971i
$119$	12.6440	+	11.6518i	1.15907	+	1.06812i
$120$	0.643857	−	0.109128i	0.0587759	−	0.00996198i
$121$	−8.79453			−0.799503
$122$	−0.697528	−	3.86700i	−0.0631512	−	0.350102i
$123$	−2.16563	−	13.7593i	−0.195268	−	1.24063i
$124$	7.46842	−	2.78491i	0.670684	−	0.250092i
$125$	−1.33064			−0.119016
$126$	7.87429	−	7.99972i	0.701497	−	0.712672i
$127$			9.77708i			0.867576i	0.901015	+	0.433788i	$0.142823\pi$
$127$			9.77708i			0.867576i	−0.901015	+	0.433788i	$0.857177\pi$
$128$	8.46362	−	7.50780i	0.748085	−	0.663602i
$129$	5.39663	+	6.67747i	0.475147	+	0.587918i
$130$	−0.220092	−	1.22016i	−0.0193033	−	0.107015i
$131$			17.4717i			1.52651i	0.646098	+	0.763255i	$0.276400\pi$
$131$			17.4717i			1.52651i	−0.646098	+	0.763255i	$0.723600\pi$
$132$	4.48217	−	2.52502i	0.390123	−	0.219775i
$133$	−2.77348	+	12.3456i	−0.240492	+	1.07050i
$134$	3.69899	−	3.12866i	0.319544	−	0.270275i
$135$	0.618068	−	0.312667i	0.0531948	−	0.0269101i
$136$	16.0258	+	9.00243i	1.37420	+	0.771952i
$137$	22.8539			1.95254			0.976269	−	0.216561i	$-0.0694841\pi$
$137$	22.8539			1.95254			0.976269	+	0.216561i	$0.0694841\pi$
$138$	−4.91834	−	4.24995i	−0.418677	−	0.361780i
$139$	−0.533436	+	0.307979i	−0.0452455	+	0.0261225i	−0.522452	−	0.852669i	$-0.674983\pi$
$139$	−0.533436	+	0.307979i	−0.0452455	+	0.0261225i	0.477207	+	0.878791i	$0.341649\pi$
$140$	0.266646	−	0.653022i	0.0225357	−	0.0551905i
$141$	4.78122	−	0.752533i	0.402651	−	0.0633747i
$142$	−1.97248	+	5.48630i	−0.165527	+	0.460400i
$143$	−4.88361	−	8.45866i	−0.408388	−	0.707348i
$144$	6.21823	−	10.2632i	0.518186	−	0.855268i
$145$	−0.937713	−	0.541389i	−0.0778728	−	0.0449599i
$146$	−16.0806	+	2.90061i	−1.33084	+	0.240056i
$147$	−2.85538	−	11.7833i	−0.235508	−	0.971872i
$148$	0.604445	+	1.62097i	0.0496851	+	0.133243i
$149$			6.31421i			0.517280i	0.965974	+	0.258640i	$0.0832744\pi$
$149$			6.31421i			0.517280i	−0.965974	+	0.258640i	$0.916726\pi$
$150$	−7.97919	+	9.23408i	−0.651498	+	0.753960i
$151$		−	20.3909i		−	1.65939i	−0.558217	−	0.829695i	$-0.688514\pi$
$151$		−	20.3909i		−	1.65939i	0.558217	−	0.829695i	$-0.311486\pi$
$152$	0.159377	+	13.5260i	0.0129272	+	1.09710i
$153$	19.0623	+	4.09036i	1.54110	+	0.330686i
$154$	0.236225	−	5.55164i	0.0190355	−	0.447364i
$155$	0.265628	−	0.460081i	0.0213358	−	0.0369546i
$156$	−19.6092	−	11.5993i	−1.56999	−	0.928689i
$157$	6.95823	−	12.0520i	0.555327	−	0.961855i	−0.442551	−	0.896744i	$-0.645926\pi$
$157$	6.95823	−	12.0520i	0.555327	−	0.961855i	0.997878	−	0.0651117i	$-0.0207404\pi$
$158$	14.9220	−	2.69162i	1.18713	−	0.214134i
$159$	0.456299	+	2.89909i	0.0361869	+	0.229913i
$160$	0.116335	−	0.745038i	0.00919708	−	0.0589004i
$161$	−6.70195	+	2.09236i	−0.528188	+	0.164901i
$162$	3.07841	−	12.3500i	0.241863	−	0.970310i
$163$	−2.81119	+	4.86913i	−0.220190	+	0.381380i	−0.954865	−	0.297039i	$-0.904001\pi$
$163$	−2.81119	+	4.86913i	−0.220190	+	0.381380i	0.734676	+	0.678418i	$0.237334\pi$
$164$	−15.8606	−	2.66836i	−1.23850	−	0.208364i
$165$	0.123187	−	0.319989i	0.00959013	−	0.0249111i
$166$	−9.51265	−	11.2467i	−0.738325	−	0.872915i
$167$	10.1713	+	17.6172i	0.787079	+	1.36326i	0.927749	+	0.373205i	$0.121741\pi$
$167$	10.1713	+	17.6172i	0.787079	+	1.36326i	−0.140670	+	0.990057i	$0.544926\pi$
$168$	−5.87596	−	11.5531i	−0.453340	−	0.891338i
$169$	−15.1277	+	26.2020i	−1.16367	+	2.01554i
$170$	1.20566	−	0.217477i	0.0924702	−	0.0166797i
$171$	4.40722	+	13.6538i	0.337029	+	1.04413i
$172$	9.28898	−	3.46378i	0.708278	−	0.264111i
$173$	1.98215	+	3.43318i	0.150700	+	0.261020i	0.931485	−	0.363780i	$-0.118514\pi$
$173$	1.98215	+	3.43318i	0.150700	+	0.261020i	−0.780785	+	0.624800i	$0.785181\pi$
$174$	−18.7934	+	6.53340i	−1.42473	+	0.495296i
$175$	3.92837	+	12.5828i	0.296957	+	0.951169i
$176$	−1.12330	−	5.83315i	−0.0846719	−	0.439690i
$177$	12.6845	−	10.2514i	0.953427	−	0.770545i
$178$	−1.03768	−	1.22685i	−0.0777777	−	0.0919560i
$179$	−4.68413	−	8.11315i	−0.350108	−	0.606406i	0.636160	−	0.771557i	$-0.280522\pi$
$179$	−4.68413	−	8.11315i	−0.350108	−	0.606406i	−0.986268	+	0.165152i	$0.947189\pi$
$180$	−0.116000	−	0.791351i	−0.00864611	−	0.0589838i
$181$	25.0246			1.86007			0.930034	−	0.367475i	$-0.119778\pi$
$181$	25.0246			1.86007			0.930034	+	0.367475i	$0.119778\pi$
$182$	−21.8154	+	11.3871i	−1.61706	+	0.844069i
$183$	−4.75400	+	0.748249i	−0.351426	+	0.0553122i
$184$	−6.45550	+	3.82920i	−0.475905	+	0.282292i
$185$	0.0998574	+	0.0576527i	0.00734166	+	0.00423871i
$186$	−3.20556	−	9.22084i	−0.235043	−	0.676105i
$187$	8.35816	−	4.82559i	0.611209	−	0.352882i
$188$	0.927229	−	5.51139i	0.0676251	−	0.401959i
$189$	−9.57967	−	9.86052i	−0.696819	−	0.717247i
$190$	0.582231	+	0.688367i	0.0422395	+	0.0499394i
$191$	−5.48133	+	3.16464i	−0.396615	+	0.228986i	−0.685022	−	0.728522i	$-0.740208\pi$
$191$	−5.48133	+	3.16464i	−0.396615	+	0.228986i	0.288408	+	0.957508i	$0.406874\pi$
$192$	−8.96122	−	10.5687i	−0.646720	−	0.762727i
$193$	−1.99254	+	3.45118i	−0.143426	+	0.248421i	−0.928785	−	0.370620i	$-0.879145\pi$
$193$	−1.99254	+	3.45118i	−0.143426	+	0.248421i	0.785359	+	0.619041i	$0.212479\pi$
$194$	6.29660	+	7.44442i	0.452069	+	0.534478i
$195$	−1.50004	+	0.236096i	−0.107420	+	0.0169072i
$196$	−13.9494	−	1.18926i	−0.996385	−	0.0849471i
$197$			1.16260i			0.0828315i	0.999142	+	0.0414158i	$0.0131868\pi$
$197$			1.16260i			0.0828315i	−0.999142	+	0.0414158i	$0.986813\pi$
$198$	−2.96907	−	5.55725i	−0.211003	−	0.394937i
$199$	−3.92738	−	6.80243i	−0.278405	−	0.482211i	0.692584	−	0.721338i	$-0.256472\pi$
$199$	−3.92738	−	6.80243i	−0.278405	−	0.482211i	−0.970988	+	0.239126i	$0.923139\pi$
$200$	7.18924	+	12.1201i	0.508356	+	0.857018i
$201$	−3.72962	−	4.61481i	−0.263067	−	0.325504i
$202$	−15.9152	−	5.72197i	−1.11979	−	0.402597i
$203$	−4.71061	+	20.9683i	−0.330620	+	1.47168i
$204$	11.4615	−	19.3762i	0.802466	−	1.35661i
$205$	−0.928356	+	0.535986i	−0.0648392	+	0.0374349i
$206$	20.4812	+	7.36359i	1.42699	+	0.513046i
$207$	−5.33841	+	5.90590i	−0.371045	+	0.410488i
$208$	−19.8846	+	17.2247i	−1.37875	+	1.19432i
$209$	6.15085	+	3.55119i	0.425463	+	0.245641i
$210$	−0.792289	−	0.344363i	−0.0546731	−	0.0237633i
$211$	−4.35715	−	7.54681i	−0.299959	−	0.519544i	0.676168	−	0.736748i	$-0.263640\pi$
$211$	−4.35715	−	7.54681i	−0.299959	−	0.519544i	−0.976126	+	0.217204i	$0.930306\pi$
$212$	3.34183	+	0.562226i	0.229518	+	0.0386138i
$213$	6.66366	+	2.56533i	0.456586	+	0.175774i
$214$	14.2164	−	12.0245i	0.971816	−	0.821976i
$215$	0.330380	−	0.572234i	0.0225317	−	0.0390260i
$216$	−12.3965	−	7.89473i	−0.843475	−	0.537168i
$217$	−10.2879	−	2.31122i	−0.698389	−	0.156896i
$218$	13.7729	−	2.48434i	0.932817	−	0.168261i
$219$	3.11153	+	19.7691i	0.210258	+	1.33587i
$220$	−0.305287	−	0.252106i	−0.0205824	−	0.0169970i
$221$	−37.0153	−	21.3708i	−2.48992	−	1.43755i
$222$	2.00132	−	0.695744i	0.134320	−	0.0466953i
$223$	2.48018	−	4.29580i	0.166085	−	0.287668i	−0.770955	−	0.636890i	$-0.780221\pi$
$223$	2.48018	−	4.29580i	0.166085	−	0.287668i	0.937040	+	0.349222i	$0.113554\pi$
$224$	−14.8036	+	2.20281i	−0.989110	+	0.147181i
$225$	11.0882	+	10.0227i	0.739213	+	0.668183i
$226$	0.839761	+	4.65553i	0.0558601	+	0.309681i
$227$			15.8829i			1.05418i	0.849809	+	0.527091i	$0.176717\pi$
$227$			15.8829i			1.05418i	−0.849809	+	0.527091i	$0.823283\pi$
$228$	16.5661	+	0.175028i	1.09712	+	0.0115915i
$229$	−0.564424			−0.0372982			−0.0186491	−	0.999826i	$-0.505937\pi$
$229$	−0.564424			−0.0372982			−0.0186491	+	0.999826i	$0.505937\pi$
$230$	−0.169252	+	0.470761i	−0.0111602	+	0.0310411i
$231$	−6.79118	−	0.441179i	−0.446827	−	0.0290274i
$232$	0.270693	+	22.9731i	0.0177718	+	1.50826i
$233$	−0.864344	+	1.49709i	−0.0566251	+	0.0980775i	−0.892948	−	0.450159i	$-0.851367\pi$
$233$	−0.864344	+	1.49709i	−0.0566251	+	0.0980775i	0.836323	+	0.548236i	$0.184701\pi$
$234$	−14.7393	+	23.6928i	−0.963540	+	1.54885i
$235$	−0.186250	−	0.322594i	−0.0121496	−	0.0210437i
$236$	−6.57980	−	17.6453i	−0.428308	−	1.14861i
$237$	−2.88734	−	18.3447i	−0.187553	−	1.19162i
$238$	−11.2518	−	21.5562i	−0.729347	−	1.39728i
$239$	0.814601	−	0.470310i	0.0526922	−	0.0304218i	−0.473422	−	0.880835i	$-0.656982\pi$
$239$	0.814601	−	0.470310i	0.0526922	−	0.0304218i	0.526115	+	0.850414i	$0.323648\pi$
$240$	−0.909069	−	0.162835i	−0.0586802	−	0.0105109i
$241$		−	3.37811i		−	0.217603i	−0.994063	−	0.108802i	$-0.965299\pi$
$241$		−	3.37811i		−	0.217603i	0.994063	−	0.108802i	$-0.0347013\pi$
$242$	11.7039	+	4.20789i	0.752355	+	0.270493i
$243$	−15.0376	−	4.10732i	−0.964664	−	0.263485i
$244$	−0.921951	+	5.48001i	−0.0590218	+	0.350822i
$245$	−0.767363	+	0.530891i	−0.0490250	+	0.0339174i
$246$	−3.70132	+	19.3473i	−0.235987	+	1.23354i
$247$		−	31.4539i		−	2.00136i
$248$	−11.2716	+	0.132813i	−0.715746	+	0.00843364i
$249$	−14.0313	+	11.3399i	−0.889196	+	0.718634i
$250$	1.77084	+	0.636668i	0.111998	+	0.0402664i
$251$		−	4.35726i		−	0.275028i	−0.990500	−	0.137514i	$-0.956089\pi$
$251$		−	4.35726i		−	0.275028i	0.990500	−	0.137514i	$-0.0439112\pi$
$252$	−14.3068	+	6.87857i	−0.901245	+	0.433309i
$253$			3.94093i			0.247764i
$254$	4.67801	−	13.0115i	0.293524	−	0.816414i
$255$	−0.233291	−	1.48221i	−0.0146092	−	0.0928198i
$256$	−14.8557	+	5.94194i	−0.928484	+	0.371372i
$257$		−	11.0887i		−	0.691694i	−0.938291	−	0.345847i	$-0.887592\pi$
$257$		−	11.0887i		−	0.691694i	0.938291	−	0.345847i	$-0.112408\pi$
$258$	−3.98697	−	11.4686i	−0.248218	−	0.714003i
$259$	0.501634	−	2.23292i	0.0311700	−	0.138747i
$260$	−0.290904	+	1.72911i	−0.0180411	+	0.107235i
$261$	7.48542	+	23.1902i	0.463336	+	1.43544i
$262$	8.35962	−	23.2516i	0.516459	−	1.43649i
$263$		−	11.7867i		−	0.726797i	−0.931634	−	0.363398i	$-0.881616\pi$
$263$		−	11.7867i		−	0.726797i	0.931634	−	0.363398i	$-0.118384\pi$
$264$	−7.17308	+	1.21577i	−0.441473	+	0.0748256i
$265$	0.195605	−	0.112933i	0.0120159	−	0.00693740i
$266$	9.59794	−	15.1027i	0.588487	−	0.926003i
$267$	−1.53060	+	1.23701i	−0.0936710	+	0.0757035i
$268$	−6.41963	+	2.39382i	−0.392141	+	0.146226i
$269$	−1.49068	−	2.58193i	−0.0908882	−	0.157423i	0.816997	−	0.576642i	$-0.195637\pi$
$269$	−1.49068	−	2.58193i	−0.0908882	−	0.157423i	−0.907885	+	0.419219i	$0.862304\pi$
$270$	−0.972135	+	0.120377i	−0.0591623	+	0.00732592i
$271$	6.92065	−	11.9869i	0.420400	−	0.728153i	−0.575579	−	0.817746i	$-0.695223\pi$
$271$	6.92065	−	11.9869i	0.420400	−	0.728153i	0.995978	+	0.0895928i	$0.0285566\pi$
$272$	−17.0200	−	19.6484i	−1.03199	−	1.19136i
$273$	13.3458	+	27.0232i	0.807724	+	1.63552i
$274$	−30.4143	−	10.9348i	−1.83739	−	0.660596i
$275$	7.39902			0.446178
$276$	4.51195	+	8.00916i	0.271587	+	0.482095i
$277$			25.8211i			1.55144i	0.631077	+	0.775720i	$0.282613\pi$
$277$			25.8211i			1.55144i	−0.631077	+	0.775720i	$0.717387\pi$
$278$	0.857263	−	0.154633i	0.0514152	−	0.00927424i
$279$	−11.3781	+	3.67266i	−0.681188	+	0.219876i
$280$	−0.667306	+	0.741471i	−0.0398791	+	0.0443114i
$281$	−7.13658	+	12.3609i	−0.425733	+	0.737391i	−0.996489	−	0.0837292i	$-0.973317\pi$
$281$	−7.13658	+	12.3609i	−0.425733	+	0.737391i	0.570756	+	0.821120i	$0.306650\pi$
$282$	−6.72298	−	1.28617i	−0.400348	−	0.0765903i
$283$	2.27524	+	1.31361i	0.135249	+	0.0780860i	0.566098	−	0.824338i	$-0.308452\pi$
$283$	2.27524	+	1.31361i	0.135249	+	0.0780860i	−0.430849	+	0.902424i	$0.641786\pi$
$284$	5.25002	−	6.35749i	0.311531	−	0.377247i
$285$	0.858798	−	0.694067i	0.0508708	−	0.0411130i
$286$	2.45200	+	13.5936i	0.144990	+	0.803804i
$287$	15.6460	+	14.4183i	0.923557	+	0.851086i
$288$	−13.1859	+	10.6832i	−0.776988	+	0.629515i
$289$	12.6169	−	21.8531i	0.742169	−	1.28547i
$290$	0.988887	+	1.16915i	0.0580694	+	0.0686550i
$291$	9.28756	−	7.50606i	0.544446	−	0.440013i
$292$	22.7882	+	3.83385i	1.33358	+	0.224359i
$293$	5.86012	+	10.1500i	0.342352	+	0.592971i	0.984869	−	0.173300i	$-0.0554431\pi$
$293$	5.86012	+	10.1500i	0.342352	+	0.592971i	−0.642517	+	0.766271i	$0.722110\pi$
$294$	−1.83794	+	17.0476i	−0.107191	+	0.994238i
$295$	−1.08702	−	0.627589i	−0.0632885	−	0.0365396i
$296$	−0.0288261	−	2.44642i	−0.00167549	−	0.142195i
$297$	−6.88577	+	3.48336i	−0.399553	+	0.202125i
$298$	3.02114	−	8.40305i	0.175010	−	0.486775i
$299$	15.1147	−	8.72648i	0.874106	−	0.504666i
$300$	15.0370	−	8.47109i	0.868163	−	0.489078i
$301$	−12.7958	−	2.87462i	−0.737536	−	0.165690i
$302$	−9.75637	+	27.1366i	−0.561416	+	1.56153i
$303$	−7.44177	+	19.3306i	−0.427519	+	1.11051i
$304$	6.25963	−	18.0768i	0.359014	−	1.03678i
$305$	0.185190	+	0.320758i	0.0106039	+	0.0183665i
$306$	−23.4114	−	14.5642i	−1.33834	−	0.832580i
$307$			19.1213i			1.09131i	0.838010	+	0.545655i	$0.183719\pi$
$307$			19.1213i			1.09131i	−0.838010	+	0.545655i	$0.816281\pi$
$308$	−2.97065	+	7.27519i	−0.169268	+	0.414542i
$309$	9.57679	−	24.8765i	0.544805	−	1.41517i
$310$	−0.573635	+	0.485189i	−0.0325803	+	0.0275569i
$311$	9.87263	−	17.0999i	0.559826	−	0.969647i	−0.437685	−	0.899128i	$-0.644201\pi$
$311$	9.87263	−	17.0999i	0.559826	−	0.969647i	0.997510	−	0.0705181i	$-0.0224653\pi$
$312$	20.5464	+	24.8189i	1.16321	+	1.40509i
$313$	−5.03344	+	2.90606i	−0.284507	+	0.164260i	−0.635462	−	0.772132i	$-0.719190\pi$
$313$	−5.03344	+	2.90606i	−0.284507	+	0.164260i	0.350955	+	0.936392i	$0.385857\pi$
$314$	−15.0266	+	12.7097i	−0.848000	+	0.717251i
$315$	−0.443335	+	0.960685i	−0.0249791	+	0.0541284i
$316$	−21.1463	−	3.55762i	−1.18957	−	0.200132i
$317$	−4.86360	+	2.80800i	−0.273167	+	0.157713i	−0.630326	−	0.776331i	$-0.717079\pi$
$317$	−4.86360	+	2.80800i	−0.273167	+	0.157713i	0.357159	+	0.934044i	$0.383745\pi$
$318$	0.779870	−	4.07648i	0.0437329	−	0.228598i
$319$	10.4469	+	6.03150i	0.584912	+	0.337699i
$320$	−0.511296	+	0.935845i	−0.0285823	+	0.0523153i
$321$	−14.3342	−	17.7362i	−0.800055	−	0.989941i
$322$	9.92019	+	0.422108i	0.552831	+	0.0235232i
$323$	31.0802			1.72935
$324$	−10.0059	+	14.9627i	−0.555882	+	0.831261i
$325$	−16.3838	−	28.3776i	−0.908809	−	1.57410i
$326$	6.07090	−	5.13485i	0.336236	−	0.284393i
$327$	−2.66500	−	16.9320i	−0.147375	−	0.936344i
$328$	19.8308	+	11.1399i	1.09497	+	0.615095i
$329$	−5.01021	+	5.43684i	−0.276222	+	0.299743i
$330$	−0.317044	+	0.366906i	−0.0174527	+	0.0201975i
$331$	−7.23663	−	12.5342i	−0.397761	−	0.688942i	0.595688	−	0.803216i	$-0.296879\pi$
$331$	−7.23663	−	12.5342i	−0.397761	−	0.688942i	−0.993449	+	0.114273i	$0.963546\pi$
$332$	7.27840	+	19.5188i	0.399454	+	1.07123i
$333$	−0.797124	−	2.46953i	−0.0436822	−	0.135330i
$334$	−5.10688	−	28.3119i	−0.279436	−	1.54916i
$335$	−0.228326	+	0.395472i	−0.0124748	+	0.0216069i
$336$	2.29207	+	18.1864i	0.125042	+	0.992151i
$337$	−12.9314	−	22.3978i	−0.704417	−	1.22009i	−0.966902	−	0.255150i	$-0.917875\pi$
$337$	−12.9314	−	22.3978i	−0.704417	−	1.22009i	0.262485	−	0.964936i	$-0.415458\pi$
$338$	32.6690	−	27.6319i	1.77696	−	1.50298i
$339$	5.72339	−	0.900825i	0.310852	−	0.0489261i
$340$	−1.70857	−	0.287448i	−0.0926603	−	0.0155891i
$341$	−2.95931	+	5.12567i	−0.160255	+	0.277571i
$342$	0.667687	−	20.2794i	0.0361044	−	1.09658i
$343$	14.5972	+	11.3983i	0.788177	+	0.615449i
$344$	−14.0192	+	0.165189i	−0.755866	+	0.00890637i
$345$	0.571786	+	0.220123i	0.0307839	+	0.0118510i
$346$	−0.995211	−	5.51732i	−0.0535029	−	0.296613i
$347$	−1.87300	+	3.24412i	−0.100548	+	0.174154i	−0.911910	−	0.410389i	$-0.865393\pi$
$347$	−1.87300	+	3.24412i	−0.100548	+	0.174154i	0.811363	+	0.584543i	$0.198726\pi$
$348$	28.1366	+	0.297275i	1.50828	+	0.0159356i
$349$	−3.04259	+	5.26992i	−0.162866	+	0.282092i	−0.935895	−	0.352278i	$-0.885407\pi$
$349$	−3.04259	+	5.26992i	−0.162866	+	0.282092i	0.773029	+	0.634370i	$0.218740\pi$
$350$	0.792500	−	18.6249i	0.0423609	−	0.995545i
$351$	28.6071	+	18.6958i	1.52693	+	0.997909i
$352$	−1.29606	+	8.30031i	−0.0690804	+	0.442408i
$353$		−	15.2675i		−	0.812609i	−0.913738	−	0.406305i	$-0.866817\pi$
$353$		−	15.2675i		−	0.812609i	0.913738	−	0.406305i	$-0.133183\pi$
$354$	−21.7857	+	7.57365i	−1.15790	+	0.402535i
$355$		−	0.549536i		−	0.0291663i
$356$	0.793962	+	2.12920i	0.0420799	+	0.112848i
$357$	−26.7022	+	13.1872i	−1.41323	+	0.697942i
$358$	2.35184	+	13.0383i	0.124299	+	0.689096i
$359$	5.31921	+	3.07105i	0.280737	+	0.162084i	0.633757	−	0.773532i	$-0.281512\pi$
$359$	5.31921	+	3.07105i	0.280737	+	0.162084i	−0.353020	+	0.935616i	$0.614845\pi$
$360$	−0.224261	+	1.10864i	−0.0118196	+	0.0584307i
$361$	1.93610	+	3.35342i	0.101900	+	0.176496i
$362$	−33.3032	−	11.9735i	−1.75038	−	0.629311i
$363$	5.47261	−	14.2156i	0.287238	−	0.746123i
$364$	34.4806	−	4.71622i	1.80727	−	0.247197i
$365$	1.33384	−	0.770095i	0.0698166	−	0.0403086i
$366$	6.68471	+	1.27885i	0.349415	+	0.0668464i
$367$	−11.9533			−0.623960			−0.311980	−	0.950089i	$-0.600992\pi$
$367$	−11.9533			−0.623960			−0.311980	+	0.950089i	$0.600992\pi$
$368$	10.4232	−	2.00722i	0.543348	−	0.104633i
$369$	23.5883	+	5.06153i	1.22796	+	0.263493i
$370$	−0.105307	−	0.124503i	−0.00547464	−	0.00647263i
$371$	−3.29663	−	3.03795i	−0.171153	−	0.157722i
$372$	−0.145856	+	13.8050i	−0.00756226	+	0.715755i
$373$			0.0873659i			0.00452363i	0.999997	+	0.00226182i	$0.000719959\pi$
$373$			0.0873659i			0.00452363i	−0.999997	+	0.00226182i	$0.999280\pi$
$374$	−13.4321	+	2.42287i	−0.694555	+	0.125283i
$375$	0.828025	−	2.15086i	0.0427591	−	0.111070i
$376$	−3.87098	+	6.89099i	−0.199631	+	0.355376i
$377$		−	53.4227i		−	2.75141i
$378$	8.03085	+	17.7061i	0.413062	+	0.910703i
$379$	−22.9175			−1.17719			−0.588597	−	0.808426i	$-0.700320\pi$
$379$	−22.9175			−1.17719			−0.588597	+	0.808426i	$0.700320\pi$
$380$	−0.445481	−	1.19467i	−0.0228527	−	0.0612851i
$381$	−15.8038	−	6.08403i	−0.809651	−	0.311694i
$382$	8.80881	−	1.58893i	0.450698	−	0.0812966i
$383$	25.4305			1.29944			0.649718	−	0.760175i	$-0.274887\pi$
$383$	25.4305			1.29944			0.649718	+	0.760175i	$0.274887\pi$
$384$	6.86898	+	18.3526i	0.350531	+	0.936551i
$385$	0.156089	+	0.499962i	0.00795505	+	0.0254804i
$386$	4.30297	−	3.63952i	0.219016	−	0.185247i
$387$	−14.1517	+	4.56793i	−0.719371	+	0.232201i
$388$	−4.81770	−	12.9199i	−0.244582	−	0.655906i
$389$		−	17.6233i		−	0.893537i	−0.894650	−	0.446768i	$-0.852575\pi$
$389$		−	17.6233i		−	0.893537i	0.894650	−	0.446768i	$-0.147425\pi$
$390$	2.10923	+	0.403516i	0.106805	+	0.0204328i
$391$	8.62280	+	14.9351i	0.436074	+	0.755302i
$392$	17.9951	+	8.25700i	0.908887	+	0.417042i
$393$	−28.2414	−	10.8722i	−1.42459	−	0.548430i
$394$	0.556263	−	1.54720i	0.0280241	−	0.0779468i
$395$	−1.23774	+	0.714610i	−0.0622775	+	0.0359559i
$396$	1.29233	+	8.81628i	0.0649420	+	0.443034i
$397$	−12.0113	+	20.8042i	−0.602831	+	1.04413i	0.389559	+	0.921002i	$0.372628\pi$
$397$	−12.0113	+	20.8042i	−0.602831	+	1.04413i	−0.992390	+	0.123133i	$0.960706\pi$
$398$	1.97189	+	10.9319i	0.0988419	+	0.547967i
$399$	−18.2296	−	12.1654i	−0.912622	−	0.609032i
$400$	−3.76851	−	19.5694i	−0.188425	−	0.978469i
$401$	12.2858			0.613526			0.306763	−	0.951786i	$-0.400754\pi$
$401$	12.2858			0.613526			0.306763	+	0.951786i	$0.400754\pi$
$402$	2.75540	+	7.92596i	0.137427	+	0.395311i
$403$	26.2114			1.30568
$404$	18.4424	+	15.2298i	0.917545	+	0.757710i
$405$	0.120789	+	1.19361i	0.00600207	+	0.0593112i
$406$	16.3016	−	25.6510i	0.809033	−	1.27304i
$407$	−1.11249	−	0.642297i	−0.0551441	−	0.0318375i
$408$	−24.5240	+	20.3023i	−1.21412	+	1.00511i
$409$	−17.3093	−	9.99351i	−0.855888	−	0.494147i	0.00674492	−	0.999977i	$-0.497853\pi$
$409$	−17.3093	−	9.99351i	−0.855888	−	0.494147i	−0.862633	+	0.505830i	$0.831186\pi$
$410$	1.49192	−	0.269112i	0.0736808	−	0.0132905i
$411$	−14.2214	+	36.9412i	−0.701489	+	1.82217i
$412$	−23.7335	−	19.5992i	−1.16927	−	0.965581i
$413$	−5.46063	+	24.3068i	−0.268700	+	1.19606i
$414$	9.93021	−	5.30541i	0.488043	−	0.260747i
$415$	1.20243	+	0.694222i	0.0590249	+	0.0340780i
$416$	34.7042	−	13.4087i	1.70151	−	0.657417i
$417$	−0.165877	−	1.05390i	−0.00812302	−	0.0516096i
$418$	−6.48651	−	7.66895i	−0.317266	−	0.375101i
$419$	−25.9285	+	14.9699i	−1.26669	+	0.731325i	−0.974361	−	0.224992i	$-0.927764\pi$
$419$	−25.9285	+	14.9699i	−1.26669	+	0.731325i	−0.292332	+	0.956317i	$0.594431\pi$
$420$	0.889623	+	0.837368i	0.0434092	+	0.0408594i
$421$	20.8020	+	12.0100i	1.01383	+	0.585333i	0.912310	−	0.409500i	$-0.134297\pi$
$421$	20.8020	+	12.0100i	1.01383	+	0.585333i	0.101517	+	0.994834i	$0.467630\pi$
$422$	2.18767	+	12.1282i	0.106494	+	0.590389i
$423$	−1.75883	+	8.19668i	−0.0855172	+	0.398536i
$424$	−4.17836	−	2.34717i	−0.202919	−	0.113989i
$425$	28.0404	−	16.1891i	1.36016	−	0.785288i
$426$	−7.64067	−	6.60232i	−0.370192	−	0.319883i
$427$	4.98169	−	5.40589i	0.241081	−	0.261609i
$428$	−24.6728	+	9.20027i	−1.19260	+	0.444712i
$429$	16.7116	−	2.63030i	0.806843	−	0.126992i
$430$	−0.713469	+	0.603463i	−0.0344065	+	0.0291015i
$431$	21.5330	−	12.4321i	1.03721	−	0.598834i	0.118168	−	0.992994i	$-0.462298\pi$
$431$	21.5330	−	12.4321i	1.03721	−	0.598834i	0.919042	+	0.394160i	$0.128964\pi$
$432$	12.7201	+	16.4377i	0.611996	+	0.790861i
$433$			2.22194i			0.106780i	0.998574	+	0.0533899i	$0.0170026\pi$
$433$			2.22194i			0.106780i	−0.998574	+	0.0533899i	$0.982997\pi$
$434$	12.5855	+	7.99823i	0.604122	+	0.383927i
$435$	1.45862	−	1.17883i	0.0699355	−	0.0565208i
$436$	−19.5178	−	3.28366i	−0.934735	−	0.157259i
$437$	−6.34560	+	10.9909i	−0.303551	+	0.525766i
$438$	5.31798	−	27.7978i	0.254103	−	1.32823i
$439$	−10.1700	−	17.6150i	−0.485388	−	0.840717i	0.514471	−	0.857508i	$-0.327988\pi$
$439$	−10.1700	−	17.6150i	−0.485388	−	0.840717i	−0.999859	+	0.0167912i	$0.994655\pi$
$440$	0.285656	+	0.481577i	0.0136181	+	0.0229583i
$441$	20.8235	+	2.71700i	0.991595	+	0.129381i
$442$	39.0353	+	46.1511i	1.85672	+	2.19519i
$443$	−4.34396	−	7.52397i	−0.206388	−	0.357474i	0.744186	−	0.667972i	$-0.232838\pi$
$443$	−4.34396	−	7.52397i	−0.206388	−	0.357474i	−0.950574	+	0.310498i	$0.899504\pi$
$444$	−2.99628	−	0.0316569i	−0.142197	−	0.00150237i
$445$	0.131166	+	0.0757290i	0.00621789	+	0.00358990i
$446$	−5.35606	+	4.53023i	−0.253617	+	0.214513i
$447$	−10.2063	−	3.92917i	−0.482743	−	0.185843i
$448$	20.7549	+	4.15151i	0.980576	+	0.196140i
$449$	−8.92416			−0.421157			−0.210579	−	0.977577i	$-0.567535\pi$
$449$	−8.92416			−0.421157			−0.210579	+	0.977577i	$0.567535\pi$
$450$	−9.96080	−	18.6438i	−0.469557	−	0.878875i
$451$	10.3426	−	5.97131i	0.487015	−	0.281178i
$452$	1.10995	−	6.59745i	0.0522075	−	0.310318i
$453$	32.9601	+	12.6888i	1.54860	+	0.596170i
$454$	7.59942	−	21.1372i	0.356658	−	0.992016i
$455$	1.57188	−	1.70573i	0.0736909	−	0.0799657i
$456$	−21.9627	−	8.15925i	−1.02850	−	0.382092i
$457$	4.04025	+	6.99792i	0.188995	+	0.327349i	0.944915	−	0.327315i	$-0.106144\pi$
$457$	4.04025	+	6.99792i	0.188995	+	0.327349i	−0.755921	+	0.654663i	$0.772810\pi$
$458$	0.751144	+	0.270058i	0.0350987	+	0.0126190i
$459$	−18.4737	+	28.2672i	−0.862278	+	1.31940i
$460$	0.450487	−	0.545515i	0.0210041	−	0.0254348i
$461$	8.96065	−	15.5203i	0.417339	−	0.722853i	−0.578332	−	0.815802i	$-0.696296\pi$
$461$	8.96065	−	15.5203i	0.417339	−	0.722853i	0.995671	+	0.0929491i	$0.0296294\pi$
$462$	8.82672	+	3.83648i	0.410656	+	0.178489i
$463$	31.8777	−	18.4046i	1.48148	−	0.855333i	0.481701	−	0.876336i	$-0.340019\pi$
$463$	31.8777	−	18.4046i	1.48148	−	0.855333i	0.999779	+	0.0210026i	$0.00668583\pi$
$464$	10.6316	−	30.7025i	0.493561	−	1.42533i
$465$	0.578385	+	0.715660i	0.0268220	+	0.0331879i
$466$	1.86659	−	1.57879i	0.0864681	−	0.0731359i
$467$	−14.3592	−	8.29029i	−0.664465	−	0.383629i	0.129511	−	0.991578i	$-0.458659\pi$
$467$	−14.3592	−	8.29029i	−0.664465	−	0.383629i	−0.793976	+	0.607949i	$0.791993\pi$
$468$	30.9515	−	24.4785i	1.43074	−	1.13152i
$469$	8.84317	+	1.98666i	0.408340	+	0.0917352i
$470$	0.0935136	+	0.518427i	0.00431346	+	0.0239133i
$471$	15.1510	+	18.7470i	0.698123	+	0.863816i
$472$	0.313792	+	26.6309i	0.0144435	+	1.22579i
$473$	−3.68069	+	6.37514i	−0.169238	+	0.293129i
$474$	−4.93482	+	25.7950i	−0.226664	+	1.18480i
$475$	20.6352	+	11.9137i	0.946807	+	0.546639i
$476$	4.66019	+	34.0709i	0.213600	+	1.56164i
$477$	−4.97006	−	1.06647i	−0.227564	−	0.0488302i
$478$	−1.30911	+	0.236137i	−0.0598774	+	0.0108006i
$479$	−16.9005			−0.772202			−0.386101	−	0.922457i	$-0.626178\pi$
$479$	−16.9005			−0.772202			−0.386101	+	0.922457i	$0.626178\pi$
$480$	1.13189	+	0.651662i	0.0516636	+	0.0297442i
$481$			5.68900i			0.259396i
$482$	−1.61631	+	4.49564i	−0.0736210	+	0.204771i
$483$	0.788339	−	12.1351i	0.0358707	−	0.552167i
$484$	−13.5624	−	11.1998i	−0.616473	−	0.509084i
$485$	−0.795909	−	0.459518i	−0.0361404	−	0.0208657i
$486$	18.0471	+	12.6611i	0.818632	+	0.574318i
$487$	−24.0724	+	13.8982i	−1.09082	+	0.629788i	−0.933796	−	0.357806i	$-0.883525\pi$
$487$	−24.0724	+	13.8982i	−1.09082	+	0.629788i	−0.157028	+	0.987594i	$0.550191\pi$
$488$	3.84895	−	6.85176i	0.174234	−	0.310165i
$489$	−6.12117	−	7.57397i	−0.276809	−	0.342507i
$490$	1.27523	−	0.339361i	0.0576091	−	0.0153307i
$491$	9.45191	+	16.3712i	0.426559	+	0.738821i	0.996565	−	0.0828192i	$-0.0263924\pi$
$491$	9.45191	+	16.3712i	0.426559	+	0.738821i	−0.570006	+	0.821641i	$0.693059\pi$
$492$	14.1828	−	23.9767i	0.639410	−	1.08095i
$493$	52.7880			2.37745
$494$	−15.0496	+	41.8593i	−0.677115	+	1.88334i
$495$	0.440577	+	0.398242i	0.0198025	+	0.0178997i
$496$	15.0639	+	5.21632i	0.676391	+	0.234220i
$497$	−10.4115	+	3.25050i	−0.467021	+	0.145805i
$498$	24.0988	−	8.37777i	1.07989	−	0.375417i
$499$	−5.46483			−0.244639			−0.122320	−	0.992491i	$-0.539033\pi$
$499$	−5.46483			−0.244639			−0.122320	+	0.992491i	$0.539033\pi$
$500$	−2.05204	−	1.69458i	−0.0917699	−	0.0757838i
$501$	−34.8060	+	5.47824i	−1.55502	+	0.244749i
$502$	−2.08480	+	5.79871i	−0.0930493	+	0.258809i
$503$	−24.7448			−1.10332			−0.551658	−	0.834070i	$-0.686005\pi$
$503$	−24.7448			−1.10332			−0.551658	+	0.834070i	$0.686005\pi$
$504$	22.3309	−	2.30877i	0.994698	−	0.102841i
$505$	1.59415			0.0709386
$506$	1.88560	−	5.24465i	0.0838253	−	0.233153i
$507$	−32.9395	−	40.7574i	−1.46290	−	1.81010i
$508$	−12.4511	+	15.0776i	−0.552429	+	0.668962i
$509$	−0.180632			−0.00800635			−0.00400318	−	0.999992i	$-0.501274\pi$
$509$	−0.180632			−0.00800635			−0.00400318	+	0.999992i	$0.501274\pi$
$510$	−0.398722	+	2.08417i	−0.0176557	+	0.0922888i
$511$	−22.4799	−	20.7160i	−0.994454	−	0.916420i
$512$	22.6133	−	0.799654i	0.999375	−	0.0353400i
$513$	−24.8126	−	1.37254i	−1.09550	−	0.0605992i
$514$	−5.30557	+	14.7570i	−0.234019	+	0.650903i
$515$	−2.05150			−0.0904000
$516$	−0.181411	+	17.1702i	−0.00798615	+	0.755876i
$517$	2.07497	+	3.59395i	0.0912571	+	0.158062i
$518$	−1.73596	+	2.73159i	−0.0762736	+	0.120019i
$519$	−6.78286	+	1.06758i	−0.297734	+	0.0468615i
$520$	1.21446	−	2.16194i	0.0532577	−	0.0948076i
$521$	28.2235	−	16.2949i	1.23650	−	0.713891i	0.268120	−	0.963386i	$-0.413598\pi$
$521$	28.2235	−	16.2949i	1.23650	−	0.713891i	0.968376	+	0.249494i	$0.0802644\pi$
$522$	1.13403	−	34.4434i	0.0496351	−	1.50755i
$523$	2.39184	+	1.38093i	0.104588	+	0.0603837i	0.551381	−	0.834253i	$-0.314101\pi$
$523$	2.39184	+	1.38093i	0.104588	+	0.0603837i	−0.446794	+	0.894637i	$0.647434\pi$
$524$	−22.2502	+	26.9438i	−0.972006	+	1.17705i
$525$	−22.7834	−	1.48009i	−0.994350	−	0.0645964i
$526$	−5.63952	+	15.6859i	−0.245895	+	0.683936i
$527$			25.9000i			1.12822i
$528$	10.1278	+	1.81411i	0.440754	+	0.0789490i
$529$	15.9580			0.693825
$530$	−0.314349	+	0.0567021i	−0.0136544	+	0.00246298i
$531$	8.67725	+	26.8826i	0.376560	+	1.16660i
$532$	−19.9992	+	15.5066i	−0.867075	+	0.672295i
$533$	−45.8037	−	26.4448i	−1.98398	−	1.14545i
$534$	2.62881	−	0.913886i	0.113760	−	0.0395477i
$535$	−0.877532	+	1.51993i	−0.0379390	+	0.0657123i
$536$	9.68870	−	0.114162i	0.418488	−	0.00493105i
$537$	16.0290	−	2.52286i	0.691702	−	0.108869i
$538$	0.748450	+	4.14931i	0.0322680	+	0.178889i
$539$	8.54904	−	5.91455i	0.368233	−	0.254758i
$540$	1.35133	+	0.304934i	0.0581520	+	0.0131223i
$541$	−29.2049	−	16.8615i	−1.25562	−	0.724931i	−0.283398	−	0.959002i	$-0.591462\pi$
$541$	−29.2049	−	16.8615i	−1.25562	−	0.724931i	−0.972219	+	0.234071i	$0.924795\pi$
$542$	−14.9454	+	12.6411i	−0.641962	+	0.542981i
$543$	−15.5722	+	40.4500i	−0.668267	+	1.73588i
$544$	13.2494	+	34.2919i	0.568064	+	1.47025i
$545$	−1.14242	+	0.659579i	−0.0489361	+	0.0282533i
$546$	−4.83107	−	42.3484i	−0.206751	−	1.81235i
$547$	11.7927	−	20.4255i	0.504219	−	0.873333i	−0.495769	−	0.868454i	$-0.665114\pi$
$547$	11.7927	−	20.4255i	0.504219	−	0.873333i	0.999988	−	0.00487856i	$-0.00155290\pi$
$548$	35.2439	+	29.1044i	1.50554	+	1.24328i
$549$	1.74882	−	8.15002i	0.0746377	−	0.347834i
$550$	−9.84673	−	3.54018i	−0.419866	−	0.150954i
$551$	19.4236	+	33.6426i	0.827472	+	1.43322i
$552$	−2.17245	−	12.8175i	−0.0924658	−	0.545550i
$553$	20.8602	+	19.2234i	0.887068	+	0.817460i
$554$	12.3545	−	34.3631i	0.524894	−	1.45995i
$555$	−0.155329	+	0.125534i	−0.00659335	+	0.00532864i
$556$	−1.21485	−	0.204384i	−0.0515209	−	0.00866782i
$557$	−35.8898	+	20.7210i	−1.52070	+	0.877976i	−0.520998	+	0.853558i	$0.674440\pi$
$557$	−35.8898	+	20.7210i	−1.52070	+	0.877976i	−0.999702	+	0.0244185i	$0.992227\pi$
$558$	16.8994	+	0.556402i	0.715408	+	0.0235544i
$559$	32.6009			1.37887
$560$	1.24283	−	0.667478i	0.0525191	−	0.0282061i
$561$	2.59905	+	16.5130i	0.109732	+	0.697181i
$562$	15.4118	−	13.0355i	0.650106	−	0.549869i
$563$	−18.7359	−	10.8172i	−0.789625	−	0.455890i	0.0502055	−	0.998739i	$-0.484012\pi$
$563$	−18.7359	−	10.8172i	−0.789625	−	0.455890i	−0.839831	+	0.542849i	$0.817346\pi$
$564$	8.33166	+	4.92837i	0.350826	+	0.207522i
$565$	−0.222952	−	0.386164i	−0.00937965	−	0.0162460i
$566$	−2.39940	−	2.83680i	−0.100854	−	0.119239i
$567$	21.8998	−	9.34871i	0.919706	−	0.392609i
$568$	−10.0287	+	5.94868i	−0.420793	+	0.249601i
$569$	9.08486	+	15.7354i	0.380857	+	0.659664i	0.991185	−	0.132485i	$-0.0422956\pi$
$569$	9.08486	+	15.7354i	0.380857	+	0.659664i	−0.610328	+	0.792149i	$0.708962\pi$
$570$	−1.47499	+	0.512769i	−0.0617805	+	0.0214775i
$571$	−18.3150	+	31.7225i	−0.766459	+	1.32755i	0.173013	+	0.984920i	$0.444650\pi$
$571$	−18.3150	+	31.7225i	−0.766459	+	1.32755i	−0.939472	+	0.342627i	$0.888683\pi$
$572$	3.24090	−	19.2637i	0.135509	−	0.805456i
$573$	−1.70447	−	10.8293i	−0.0712052	−	0.452402i
$574$	−13.9233	−	26.6742i	−0.581148	−	1.11336i
$575$			13.2213i			0.551364i
$576$	22.6596	−	7.90838i	0.944150	−	0.329516i
$577$	−11.3239	+	6.53786i	−0.471420	+	0.272175i	−0.716834	−	0.697244i	$-0.754409\pi$
$577$	−11.3239	+	6.53786i	−0.471420	+	0.272175i	0.245414	+	0.969418i	$0.421076\pi$
$578$	−27.2467	+	23.0457i	−1.13331	+	0.958573i
$579$	−4.33860	−	5.36833i	−0.180306	−	0.223100i
$580$	−0.756625	−	2.02908i	−0.0314171	−	0.0842528i
$581$	6.04040	−	26.8876i	0.250598	−	1.11548i
$582$	−15.9514	+	5.54540i	−0.661208	+	0.229864i
$583$	−2.17920	+	1.25816i	−0.0902531	+	0.0521077i
$584$	−28.4925	−	16.0055i	−1.17903	−	0.662313i
$585$	0.551806	−	2.57159i	0.0228144	−	0.106322i
$586$	−2.94229	−	16.3117i	−0.121545	−	0.673830i
$587$	−15.0625	−	8.69633i	−0.621695	−	0.358936i	0.155834	−	0.987783i	$-0.450194\pi$
$587$	−15.0625	−	8.69633i	−0.621695	−	0.358936i	−0.777529	+	0.628847i	$0.783527\pi$
$588$	10.6027	−	21.8079i	0.437247	−	0.899341i
$589$	−16.5065	+	9.53002i	−0.680137	+	0.392677i
$590$	1.14634	+	1.35531i	0.0471940	+	0.0557971i
$591$	−1.87923	−	0.723453i	−0.0773011	−	0.0297589i
$592$	−1.13217	+	3.26952i	−0.0465317	+	0.134376i
$593$	−28.9395	−	16.7082i	−1.18840	−	0.686126i	−0.230461	−	0.973082i	$-0.574023\pi$
$593$	−28.9395	−	16.7082i	−1.18840	−	0.686126i	−0.957944	+	0.286956i	$0.907357\pi$
$594$	10.8304	−	1.34110i	0.444375	−	0.0550259i
$595$	1.68546	+	1.55320i	0.0690972	+	0.0636752i
$596$	−8.04115	+	9.73739i	−0.329378	+	0.398859i
$597$	13.4394	−	2.11528i	0.550038	−	0.0865725i
$598$	−24.2902	+	4.38146i	−0.993301	+	0.179171i
$599$	2.96201	+	1.71012i	0.121024	+	0.0698735i	0.559290	−	0.828972i	$-0.311074\pi$
$599$	2.96201	+	1.71012i	0.121024	+	0.0698735i	−0.438266	+	0.898845i	$0.644407\pi$
$600$	−24.0646	+	4.07874i	−0.982435	+	0.166514i
$601$	−12.5051	−	7.21984i	−0.510095	−	0.294503i	0.222778	−	0.974869i	$-0.428488\pi$
$601$	−12.5051	−	7.21984i	−0.510095	−	0.294503i	−0.732873	+	0.680366i	$0.761821\pi$
$602$	15.6534	+	9.94794i	0.637985	+	0.405448i
$603$	9.78026	−	3.15691i	0.398283	−	0.128559i
$604$	25.9679	−	31.4457i	1.05662	−	1.27951i
$605$	−1.17232			−0.0476617
$606$	19.1527	−	22.1648i	0.778024	−	0.900384i
$607$	−1.64871			−0.0669190			−0.0334595	−	0.999440i	$-0.510652\pi$
$607$	−1.64871			−0.0669190			−0.0334595	+	0.999440i	$0.510652\pi$
$608$	−16.9796	+	21.0619i	−0.688612	+	0.854174i
$609$	−30.9620	−	20.6623i	−1.25464	−	0.837278i
$610$	−0.0929813	−	0.515476i	−0.00376470	−	0.0208710i
$611$	9.18929	−	15.9163i	0.371759	−	0.643906i
$612$	24.1877	+	30.5838i	0.977730	+	1.23628i
$613$	21.0574	−	12.1575i	0.850499	−	0.491036i	−0.0103203	−	0.999947i	$-0.503285\pi$
$613$	21.0574	−	12.1575i	0.850499	−	0.491036i	0.860819	+	0.508911i	$0.169952\pi$
$614$	9.14890	−	25.4469i	0.369220	−	1.02695i
$615$	−0.288681	−	1.83413i	−0.0116407	−	0.0739594i
$616$	7.43432	−	8.26058i	0.299537	−	0.332828i
$617$	−19.6485	−	34.0322i	−0.791020	−	1.37009i	−0.925336	−	0.379148i	$-0.876217\pi$
$617$	−19.6485	−	34.0322i	−0.791020	−	1.37009i	0.134316	−	0.990939i	$-0.457116\pi$
$618$	−24.6475	+	28.5238i	−0.991468	+	1.14740i
$619$			10.3115i			0.414455i	0.978293	+	0.207227i	$0.0664440\pi$
$619$			10.3115i			0.414455i	−0.978293	+	0.207227i	$0.933556\pi$
$620$	0.995550	−	0.371232i	0.0399822	−	0.0149090i
$621$	−6.22439	−	12.3041i	−0.249776	−	0.493748i
$622$	−21.3204	+	18.0331i	−0.854870	+	0.723061i
$623$	0.658916	−	2.93302i	0.0263989	−	0.117509i
$624$	−15.4684	−	42.8601i	−0.619232	−	1.71578i
$625$	24.7338			0.989351
$626$	8.08904	−	1.45910i	0.323303	−	0.0583172i
$627$	−9.56769	+	7.73246i	−0.382097	+	0.308805i
$628$	26.0788	−	9.72457i	1.04066	−	0.388053i
$629$	−5.62141			−0.224140
$630$	1.04965	−	1.06637i	0.0418192	−	0.0424853i
$631$			21.2959i			0.847776i	0.905715	+	0.423888i	$0.139335\pi$
$631$			21.2959i			0.847776i	−0.905715	+	0.423888i	$0.860665\pi$
$632$	26.4396	+	14.8523i	1.05171	+	0.590794i
$633$	14.9101	−	2.34675i	0.592622	−	0.0932749i
$634$	7.81609	−	1.40986i	0.310416	−	0.0559927i
$635$			1.30330i			0.0517198i
$636$	−2.98832	+	5.05191i	−0.118495	+	0.200321i
$637$	−41.6144	−	19.6915i	−1.64882	−	0.780207i
$638$	−11.0170	−	13.0253i	−0.436166	−	0.515676i
$639$	−8.29325	+	9.17485i	−0.328076	+	0.362951i
$640$	1.12821	−	1.00080i	0.0445965	−	0.0395601i
$641$	−11.1305			−0.439628			−0.219814	−	0.975542i	$-0.570545\pi$
$641$	−11.1305			−0.439628			−0.219814	+	0.975542i	$0.570545\pi$
$642$	10.5899	+	30.4621i	0.417951	+	1.20224i
$643$	0.909486	−	0.525092i	0.0358666	−	0.0207076i	−0.481959	−	0.876194i	$-0.660075\pi$
$643$	0.909486	−	0.525092i	0.0358666	−	0.0207076i	0.517826	+	0.855486i	$0.326741\pi$
$644$	−13.0000	−	5.30823i	−0.512271	−	0.209173i
$645$	0.719377	+	0.890115i	0.0283254	+	0.0350482i
$646$	−41.3620	−	14.8708i	−1.62737	−	0.585085i
$647$	−7.75563	−	13.4331i	−0.304905	−	0.528111i	0.672335	−	0.740247i	$-0.265291\pi$
$647$	−7.75563	−	13.4331i	−0.304905	−	0.528111i	−0.977240	+	0.212136i	$0.931958\pi$
$648$	20.4751	−	15.1251i	0.804339	−	0.594171i
$649$	12.1102	+	6.99184i	0.475368	+	0.274454i
$650$	8.22609	+	45.6044i	0.322654	+	1.78875i
$651$	10.1378	−	15.1912i	0.397331	−	0.595392i
$652$	−10.5361	+	3.92882i	−0.412626	+	0.153865i
$653$		−	17.3693i		−	0.679715i	−0.940477	−	0.339857i	$-0.889621\pi$
$653$		−	17.3693i		−	0.679715i	0.940477	−	0.339857i	$-0.110379\pi$
$654$	−4.55480	+	23.8085i	−0.178107	+	0.930988i
$655$			2.32900i			0.0910015i
$656$	−21.0611	−	24.3134i	−0.822296	−	0.949281i
$657$	−33.8912	−	7.27231i	−1.32222	−	0.283720i
$658$	9.26902	−	4.83821i	0.361344	−	0.188613i
$659$	14.0068	−	24.2605i	0.545628	−	0.945056i	−0.452939	−	0.891541i	$-0.649624\pi$
$659$	14.0068	−	24.2605i	0.545628	−	0.945056i	0.998567	−	0.0535140i	$-0.0170422\pi$
$660$	0.597479	−	0.336589i	0.0232568	−	0.0131017i
$661$	−17.9998	+	31.1766i	−0.700111	+	1.21263i	0.268316	+	0.963331i	$0.413533\pi$
$661$	−17.9998	+	31.1766i	−0.700111	+	1.21263i	−0.968427	+	0.249297i	$0.919800\pi$
$662$	3.63342	+	20.1432i	0.141217	+	0.782888i
$663$	57.5776	−	46.5333i	2.23613	−	1.80720i
$664$	−0.347109	−	29.4584i	−0.0134704	−	1.14321i
$665$	−0.369709	+	1.64568i	−0.0143367	+	0.0638167i
$666$	−0.120763	+	3.66789i	−0.00467948	+	0.142128i
$667$	−10.7776	+	18.6674i	−0.417312	+	0.722806i
$668$	−6.74997	+	40.1214i	−0.261164	+	1.55234i
$669$	5.40041	+	6.68215i	0.208792	+	0.258347i
$670$	0.493080	−	0.417054i	0.0190493	−	0.0161122i
$671$	−2.06316	−	3.57350i	−0.0796473	−	0.137953i
$672$	5.65128	−	25.2995i	0.218003	−	0.975948i
$673$	−9.06426	+	15.6998i	−0.349401	+	0.605181i	−0.986143	−	0.165896i	$-0.946948\pi$
$673$	−9.06426	+	15.6998i	−0.349401	+	0.605181i	0.636742	+	0.771077i	$0.280282\pi$
$674$	6.49268	+	35.9946i	0.250089	+	1.38646i
$675$	−23.1007	+	11.6862i	−0.889148	+	0.449800i
$676$	−56.6974	+	21.1420i	−2.18067	+	0.813152i
$677$	16.9542	+	29.3655i	0.651603	+	1.12861i	0.982734	+	0.185025i	$0.0592365\pi$
$677$	16.9542	+	29.3655i	0.651603	+	1.12861i	−0.331131	+	0.943585i	$0.607430\pi$
$678$	−8.04779	−	1.53962i	−0.309074	−	0.0591287i
$679$	−3.99825	+	17.7974i	−0.153439	+	0.683001i
$680$	2.13626	+	1.20003i	0.0819218	+	0.0460192i
$681$	−25.6732	−	9.88350i	−0.983798	−	0.378736i
$682$	6.39075	−	5.40539i	0.244715	−	0.206983i
$683$	−14.1577	−	24.5218i	−0.541729	−	0.938302i	−0.998805	−	0.0488746i	$-0.984437\pi$
$683$	−14.1577	−	24.5218i	−0.541729	−	0.938302i	0.457076	−	0.889428i	$-0.348897\pi$
$684$	−10.5916	+	26.6687i	−0.404979	+	1.01970i
$685$	3.04645			0.116399
$686$	−13.9725	−	22.1533i	−0.533474	−	0.845817i
$687$	0.351227	−	0.912340i	0.0134001	−	0.0348079i
$688$	18.7360	+	6.48789i	0.714304	+	0.247349i
$689$	9.65088	+	5.57194i	0.367669	+	0.212274i
$690$	−0.655621	−	0.566523i	−0.0249591	−	0.0215672i
$691$	−14.6602	+	8.46404i	−0.557699	+	0.321987i	−0.752221	−	0.658911i	$-0.771018\pi$
$691$	−14.6602	+	8.46404i	−0.557699	+	0.321987i	0.194523	+	0.980898i	$0.437684\pi$
$692$	−1.31541	+	7.81871i	−0.0500044	+	0.297223i
$693$	4.93910	−	10.7028i	0.187621	−	0.406565i
$694$	4.04482	−	3.42116i	0.153539	−	0.129866i
$695$	−0.0711077	+	0.0410540i	−0.00269727	+	0.00155727i
$696$	−37.3024	−	13.8580i	−1.41394	−	0.525287i
$697$	26.1306	−	45.2595i	0.989767	−	1.71433i
$698$	6.57060	−	5.55751i	0.248701	−	0.210355i
$699$	−1.88205	−	2.32873i	−0.0711855	−	0.0880807i
$700$	−9.96608	+	24.4072i	−0.376683	+	0.922505i
$701$		−	47.8454i		−	1.80710i	−0.428487	−	0.903548i	$-0.640953\pi$
$701$		−	47.8454i		−	1.80710i	0.428487	−	0.903548i	$-0.359047\pi$
$702$	−29.1254	−	38.5682i	−1.09927	−	1.45566i
$703$	−2.06842	−	3.58261i	−0.0780120	−	0.135121i
$704$	5.69624	−	10.4261i	0.214685	−	0.392947i
$705$	0.637342	−	0.100314i	0.0240037	−	0.00377803i
$706$	−7.30501	+	20.3183i	−0.274928	+	0.764689i
$707$	−9.42938	−	30.2028i	−0.354628	−	1.13589i
$708$	32.6165	+	0.344607i	1.22580	+	0.0129511i
$709$	25.8843	−	14.9443i	0.972105	−	0.561245i	0.0722279	−	0.997388i	$-0.476989\pi$
$709$	25.8843	−	14.9443i	0.972105	−	0.561245i	0.899877	+	0.436143i	$0.143656\pi$
$710$	−0.262934	+	0.731330i	−0.00986775	+	0.0274463i
$711$	31.4493	+	6.74833i	1.17944	+	0.253082i
$712$	−0.0378642	−	3.21346i	−0.00141902	−	0.120430i
$713$	−9.15902	−	5.28796i	−0.343008	−	0.198036i
$714$	41.8453	−	4.77368i	1.56602	−	0.178650i
$715$	−0.650991	−	1.12755i	−0.0243457	−	0.0421680i
$716$	3.10853	−	18.4769i	0.116171	−	0.690513i
$717$	0.253308	+	1.60939i	0.00945995	+	0.0601038i
$718$	−5.60949	−	6.63206i	−0.209344	−	0.247506i
$719$	0.606767	−	1.05095i	0.0226286	−	0.0391939i	−0.854489	−	0.519469i	$-0.826130\pi$
$719$	0.606767	−	1.05095i	0.0226286	−	0.0391939i	0.877118	+	0.480275i	$0.159463\pi$
$720$	0.828898	−	1.36810i	0.0308912	−	0.0509860i
$721$	12.1346	+	38.8679i	0.451917	+	1.44751i
$722$	−0.972089	−	5.38913i	−0.0361774	−	0.200563i
$723$	5.46041	+	2.10211i	0.203075	+	0.0781784i
$724$	38.5915	+	31.8689i	1.43424	+	1.18440i
$725$	35.0477	+	20.2348i	1.30164	+	0.751502i
$726$	−14.0847	+	16.2998i	−0.522732	+	0.604943i
$727$	−1.10475	+	1.91349i	−0.0409730	+	0.0709674i	−0.885785	−	0.464096i	$-0.846379\pi$
$727$	−1.10475	+	1.91349i	−0.0409730	+	0.0709674i	0.844812	+	0.535064i	$0.179712\pi$
$728$	−48.1438	−	10.2214i	−1.78433	−	0.378829i
$729$	15.9966	−	21.7510i	0.592468	−	0.805594i
$730$	−2.14356	+	0.386655i	−0.0793369	+	0.0143107i
$731$			32.2136i			1.19146i
$732$	−8.28423	−	4.90032i	−0.306194	−	0.181121i
$733$	−42.8660			−1.58329			−0.791647	−	0.610979i	$-0.790776\pi$
$733$	−42.8660			−1.58329			−0.791647	+	0.610979i	$0.790776\pi$
$734$	15.9077	+	5.71928i	0.587164	+	0.211102i
$735$	−0.380626	−	1.57073i	−0.0140396	−	0.0579373i
$736$	−14.8318	−	2.31592i	−0.546706	−	0.0853661i
$737$	2.54373	−	4.40587i	0.0936995	−	0.162292i
$738$	−28.9699	−	18.0222i	−1.06640	−	0.663405i
$739$	−21.2404	−	36.7894i	−0.781340	−	1.35332i	−0.931161	−	0.364608i	$-0.881203\pi$
$739$	−21.2404	−	36.7894i	−0.781340	−	1.35332i	0.149821	−	0.988713i	$-0.452130\pi$
$740$	0.0805733	+	0.216077i	0.00296193	+	0.00794315i
$741$	50.8423	+	19.5730i	1.86774	+	0.719030i
$742$	2.93365	+	5.62028i	0.107698	+	0.206327i
$743$	−8.74240	+	5.04743i	−0.320728	+	0.185172i	−0.651717	−	0.758462i	$-0.725951\pi$
$743$	−8.74240	+	5.04743i	−0.320728	+	0.185172i	0.330989	+	0.943635i	$0.392618\pi$
$744$	6.79933	−	18.3021i	0.249276	−	0.670988i
$745$			0.841692i			0.0308372i
$746$	0.0418016	−	0.116268i	0.00153047	−	0.00425687i
$747$	−9.59854	−	29.7368i	−0.351192	−	1.08801i
$748$	19.0348	+	3.20240i	0.695983	+	0.117091i
$749$	33.9873	+	7.63538i	1.24187	+	0.278991i
$750$	−2.13106	+	2.46622i	−0.0778155	+	0.0900536i
$751$		−	26.2523i		−	0.957961i	−0.877826	−	0.478981i	$-0.841006\pi$
$751$		−	26.2523i		−	0.957961i	0.877826	−	0.478981i	$-0.158994\pi$
$752$	8.44867	−	7.31850i	0.308091	−	0.266878i
$753$	7.04311	+	2.71141i	0.256665	+	0.0988093i
$754$	−25.5610	+	71.0957i	−0.930875	+	2.58915i
$755$		−	2.71814i		−	0.0989231i
$756$	−2.21581	−	27.4060i	−0.0805881	−	0.996747i
$757$		−	28.9104i		−	1.05077i	−0.850865	−	0.525384i	$-0.823922\pi$
$757$		−	28.9104i		−	1.05077i	0.850865	−	0.525384i	$-0.176078\pi$
$758$	30.4990	+	10.9653i	1.10777	+	0.398277i
$759$	−6.37015	−	2.45234i	−0.231222	−	0.0890144i
$760$	0.0212451	+	1.80303i	0.000770641	+	0.0654028i
$761$			50.0350i			1.81377i	0.421382	+	0.906883i	$0.361545\pi$
$761$			50.0350i			1.81377i	−0.421382	+	0.906883i	$0.638455\pi$
$762$	18.1209	+	15.6583i	0.656450	+	0.567240i
$763$	19.2538	+	17.7430i	0.697036	+	0.642340i
$764$	−12.4831	−	2.10015i	−0.451624	−	0.0759808i
$765$	2.54103	+	0.545250i	0.0918712	+	0.0197136i
$766$	−33.8433	−	12.1676i	−1.22281	−	0.439634i
$767$		−	61.9287i		−	2.23611i
$768$	−0.360253	−	27.7105i	−0.0129995	−	0.999916i
$769$	31.1603	−	17.9904i	1.12367	−	0.648750i	0.181334	−	0.983422i	$-0.441959\pi$
$769$	31.1603	−	17.9904i	1.12367	−	0.648750i	0.942335	+	0.334671i	$0.108625\pi$
$770$	0.0314891	−	0.740041i	0.00113479	−	0.0266692i
$771$	17.9238	+	6.90021i	0.645512	+	0.248505i
$772$	−7.46785	+	2.78470i	−0.268774	+	0.100223i
$773$	12.3789	+	21.4409i	0.445239	+	0.771176i	0.998069	−	0.0621178i	$-0.0197855\pi$
$773$	12.3789	+	21.4409i	0.445239	+	0.771176i	−0.552830	+	0.833294i	$0.686452\pi$
$774$	21.0189	+	0.692035i	0.755509	+	0.0248747i
$775$	−9.92804	+	17.1959i	−0.356626	+	0.617694i
$776$	0.229758	+	19.4991i	0.00824782	+	0.699975i
$777$	3.29715	+	2.20033i	0.118285	+	0.0789365i
$778$	−8.43216	+	23.4534i	−0.302307	+	0.840844i
$779$	38.4595			1.37795
$780$	−2.61393	−	1.54620i	−0.0935938	−	0.0553630i
$781$			6.12226i			0.219072i
$782$	−4.32940	−	24.0016i	−0.154819	−	0.858297i
$783$	−42.1428	−	2.33119i	−1.50606	−	0.0833098i
$784$	−19.9974	−	19.5986i	−0.714193	−	0.699949i
$785$	0.927541	−	1.60655i	0.0331054	−	0.0573402i
$786$	32.3821	+	27.9814i	1.15503	+	0.998065i
$787$	41.1388	+	23.7515i	1.46644	+	0.846649i	0.999295	−	0.0375317i	$-0.0119495\pi$
$787$	41.1388	+	23.7515i	1.46644	+	0.846649i	0.467144	+	0.884181i	$0.345283\pi$
$788$	−1.48057	+	1.79288i	−0.0527430	+	0.0638689i
$789$	19.0521	+	7.33454i	0.678271	+	0.261116i
$790$	1.98912	−	0.358796i	0.0707697	−	0.0127654i
$791$	−5.99752	+	6.50821i	−0.213247	+	0.231405i
$792$	2.49844	−	12.3512i	0.0887782	−	0.438880i
$793$	−9.13698	+	15.8257i	−0.324464	+	0.561988i
$794$	25.9390	−	21.9396i	0.920541	−	0.778607i
$795$	0.0608252	+	0.386453i	0.00215725	+	0.0137061i
$796$	2.60633	−	15.4918i	0.0923788	−	0.549093i
$797$	1.23914	+	2.14625i	0.0438924	+	0.0760239i	0.887137	−	0.461506i	$-0.152691\pi$
$797$	1.23914	+	2.14625i	0.0438924	+	0.0760239i	−0.843245	+	0.537530i	$0.819357\pi$
$798$	18.4395	+	24.9122i	0.652751	+	0.881882i
$799$	15.7272	+	9.08012i	0.556389	+	0.321231i
$800$	−4.34810	+	27.8463i	−0.153729	+	0.984516i
$801$	−1.04705	−	3.24383i	−0.0369958	−	0.114615i
$802$	−16.3502	−	5.87836i	−0.577345	−	0.207572i
$803$	−14.8601	+	8.57947i	−0.524401	+	0.302763i
$804$	0.125373	−	11.8664i	0.00442157	−	0.418494i
$805$	−0.893379	+	0.278915i	−0.0314875	+	0.00983045i
$806$	−34.8825	−	12.5413i	−1.22869	−	0.441748i
$807$	5.10106	−	0.802874i	0.179566	−	0.0282625i
$808$	−17.2565	−	29.0921i	−0.607083	−	1.02346i
$809$	−1.34780	−	2.33446i	−0.0473862	−	0.0820754i	0.841359	−	0.540476i	$-0.181756\pi$
$809$	−1.34780	−	2.33446i	−0.0473862	−	0.0820754i	−0.888746	+	0.458401i	$0.848422\pi$
$810$	0.410356	−	1.64627i	0.0144185	−	0.0578442i
$811$			23.5977i			0.828628i	0.910134	+	0.414314i	$0.135978\pi$
$811$			23.5977i			0.828628i	−0.910134	+	0.414314i	$0.864022\pi$
$812$	−33.9675	+	26.3370i	−1.19203	+	0.924248i
$813$	15.0692	+	18.6457i	0.528500	+	0.653935i
$814$	1.17320	+	1.38707i	0.0411207	+	0.0486167i
$815$	−0.374736	+	0.649061i	−0.0131264	+	0.0227356i
$816$	42.3509	−	15.2846i	1.48258	−	0.535069i
$817$	−20.5302	+	11.8531i	−0.718261	+	0.414688i
$818$	18.2539	+	21.5814i	0.638232	+	0.754577i
$819$	−51.9853	+	4.75638i	−1.81651	+	0.166201i
$820$	−2.11423	−	0.355696i	−0.0738322	−	0.0124214i
$821$	−21.8060	+	12.5897i	−0.761033	+	0.439383i	−0.829667	−	0.558259i	$-0.811469\pi$
$821$	−21.8060	+	12.5897i	−0.761033	+	0.439383i	0.0686333	+	0.997642i	$0.478136\pi$
$822$	36.6011	−	42.3574i	1.27661	−	1.47739i
$823$	−3.74692	−	2.16329i	−0.130610	−	0.0754075i	0.433272	−	0.901263i	$-0.357359\pi$
$823$	−3.74692	−	2.16329i	−0.130610	−	0.0754075i	−0.563881	+	0.825856i	$0.690692\pi$
$824$	22.2074	+	37.4385i	0.773630	+	1.30423i
$825$	−4.60422	+	11.9598i	−0.160298	+	0.416388i
$826$	18.8971	−	29.7352i	0.657514	−	1.03462i
$827$	−2.46725			−0.0857947			−0.0428973	−	0.999079i	$-0.513659\pi$
$827$	−2.46725			−0.0857947			−0.0428973	+	0.999079i	$0.513659\pi$
$828$	−15.7537	+	2.30925i	−0.547480	+	0.0802521i
$829$	−9.03864	−	15.6554i	−0.313925	−	0.543734i	0.665283	−	0.746591i	$-0.268311\pi$
$829$	−9.03864	−	15.6554i	−0.313925	−	0.543734i	−0.979208	+	0.202857i	$0.934977\pi$
$830$	−1.26805	−	1.49920i	−0.0440146	−	0.0520381i
$831$	−41.7374	−	16.0678i	−1.44786	−	0.557386i
$832$	−52.6005	+	1.23976i	−1.82359	+	0.0429808i
$833$	19.4576	−	41.1200i	0.674165	−	1.42472i
$834$	−0.283503	+	1.48191i	−0.00981692	+	0.0513144i
$835$	1.35585	+	2.34840i	0.0469210	+	0.0812696i
$836$	4.96302	+	13.3095i	0.171649	+	0.460320i
$837$	1.14378	−	20.6770i	0.0395347	−	0.714703i
$838$	41.6687	−	7.51617i	1.43942	−	0.259642i
$839$	−12.0705	+	20.9067i	−0.416720	+	0.721781i	−0.995607	−	0.0936271i	$-0.970154\pi$
$839$	−12.0705	+	20.9067i	−0.416720	+	0.721781i	0.578887	+	0.815408i	$0.303487\pi$
$840$	−0.783272	−	1.54004i	−0.0270255	−	0.0531363i
$841$	18.4898	+	32.0253i	0.637581	+	1.10432i
$842$	−21.9372	−	25.9362i	−0.756006	−	0.893820i
$843$	−15.5394	−	19.2275i	−0.535205	−	0.662231i
$844$	2.89153	−	17.1871i	0.0995306	−	0.591603i
$845$	−2.01655	+	3.49276i	−0.0693713	+	0.120155i
$846$	6.26251	−	10.0667i	0.215310	−	0.346101i
$847$	6.93428	+	22.2109i	0.238265	+	0.763174i
$848$	4.43758	+	5.12286i	0.152387	+	0.175920i
$849$	−3.53915	+	2.86029i	−0.121463	+	0.0981648i
$850$	−45.0626	+	8.12836i	−1.54563	+	0.278800i
$851$	1.14771	−	1.98790i	0.0393432	−	0.0681444i
$852$	7.00934	+	12.4423i	0.240136	+	0.426265i
$853$	5.03877	−	8.72740i	0.172524	−	0.298821i	−0.766778	−	0.641913i	$-0.778141\pi$
$853$	5.03877	−	8.72740i	0.172524	−	0.298821i	0.939302	+	0.343092i	$0.111474\pi$
$854$	−9.21625	+	4.81067i	−0.315374	+	0.164618i
$855$	0.587488	+	1.82007i	0.0200917	+	0.0622450i
$856$	37.2369	−	0.438763i	1.27273	−	0.0149966i
$857$		−	1.74424i		−	0.0595820i	−0.999556	−	0.0297910i	$-0.990516\pi$
$857$		−	1.74424i		−	0.0595820i	0.999556	−	0.0297910i	$-0.00948417\pi$
$858$	−23.4985	−	4.49549i	−0.802227	−	0.153474i
$859$			5.60546i			0.191256i	0.995417	+	0.0956279i	$0.0304859\pi$
$859$			5.60546i			0.191256i	−0.995417	+	0.0956279i	$0.969514\pi$
$860$	1.23823	−	0.461726i	0.0422234	−	0.0157447i
$861$	−33.0420	+	16.3182i	−1.12607	+	0.556124i
$862$	−34.6049	+	6.24200i	−1.17865	+	0.212603i
$863$	−27.1185	−	15.6569i	−0.923124	−	0.532966i	−0.0384938	−	0.999259i	$-0.512256\pi$
$863$	−27.1185	−	15.6569i	−0.923124	−	0.532966i	−0.884630	+	0.466293i	$0.845589\pi$
$864$	−9.06319	−	27.9617i	−0.308336	−	0.951278i
$865$	0.264223	+	0.457647i	0.00898384	+	0.0155605i
$866$	1.06313	−	2.95700i	0.0361265	−	0.100483i
$867$	27.4723	+	33.9926i	0.933009	+	1.15445i
$868$	−12.9220	−	16.6659i	−0.438603	−	0.565677i
$869$	13.7894	−	7.96132i	0.467774	−	0.270069i
$870$	−2.50519	+	0.870910i	−0.0849338	+	0.0295266i
$871$	−22.5305			−0.763418
$872$	24.4035	+	13.7086i	0.826408	+	0.464231i
$873$	6.35345	+	19.6833i	0.215032	+	0.666179i
$874$	13.7036	−	11.5907i	0.463531	−	0.392061i
$875$	1.04918	+	3.36058i	0.0354688	+	0.113608i
$876$	−20.3776	+	34.4493i	−0.688494	+	1.16393i
$877$		−	24.8531i		−	0.839230i	−0.907702	−	0.419615i	$-0.862165\pi$
$877$		−	24.8531i		−	0.839230i	0.907702	−	0.419615i	$-0.137835\pi$
$878$	5.10623	+	28.3083i	0.172327	+	0.955358i
$879$	−20.0532	+	3.15624i	−0.676377	+	0.106457i
$880$	−0.149737	−	0.777566i	−0.00504764	−	0.0262118i
$881$			48.8263i			1.64500i	0.568766	+	0.822500i	$0.307421\pi$
$881$			48.8263i			1.64500i	−0.568766	+	0.822500i	$0.692579\pi$
$882$	−26.4122	−	13.5792i	−0.889346	−	0.457234i
$883$	43.4381			1.46181			0.730903	−	0.682481i	$-0.239099\pi$
$883$	43.4381			1.46181			0.730903	+	0.682481i	$0.239099\pi$
$884$	−29.8670	−	80.0957i	−1.00454	−	2.69391i
$885$	1.69086	−	1.36653i	0.0568377	−	0.0459354i
$886$	2.18105	+	12.0915i	0.0732738	+	0.406220i
$887$	−4.75105			−0.159525			−0.0797624	−	0.996814i	$-0.525416\pi$
$887$	−4.75105			−0.159525			−0.0797624	+	0.996814i	$0.525416\pi$
$888$	3.97234	+	1.47575i	0.133303	+	0.0495228i
$889$	24.6923	−	7.70900i	0.828154	−	0.258551i
$890$	−0.138325	−	0.163540i	−0.00463665	−	0.00548188i
$891$	−1.34569	−	13.2978i	−0.0450823	−	0.445494i
$892$	9.29549	−	3.46621i	0.311236	−	0.116057i
$893$			13.3643i			0.447218i
$894$	11.7028	+	10.1124i	0.391399	+	0.338209i
$895$	−0.624401	−	1.08149i	−0.0208714	−	0.0361503i
$896$	−25.6346	−	15.4554i	−0.856390	−	0.516329i
$897$	4.70006	+	29.8618i	0.156930	+	0.997057i
$898$	11.8764	+	4.26991i	0.396321	+	0.142489i
$899$	−28.0353	+	16.1862i	−0.935030	+	0.539840i
$900$	4.33557	+	29.5773i	0.144519	+	0.985910i
$901$	−5.50574	+	9.53622i	−0.183423	+	0.317697i
$902$	−16.6212	+	2.99812i	−0.553425	+	0.0998265i
$903$	12.6090	−	18.8944i	0.419603	−	0.628765i
$904$	−4.63379	+	8.24891i	−0.154118	+	0.274355i
$905$	3.33582			0.110886
$906$	−37.7926	−	32.6567i	−1.25558	−	1.08495i
$907$	−7.90980			−0.262641			−0.131320	−	0.991340i	$-0.541922\pi$
$907$	−7.90980			−0.262641			−0.131320	+	0.991340i	$0.541922\pi$
$908$	−20.2268	+	24.4936i	−0.671251	+	0.812848i
$909$	−26.6153	−	24.0579i	−0.882774	−	0.797949i
$910$	−2.90802	+	1.51792i	−0.0963998	+	0.0503184i
$911$	−26.5822	−	15.3472i	−0.880707	−	0.508477i	−0.00981581	−	0.999952i	$-0.503125\pi$
$911$	−26.5822	−	15.3472i	−0.880707	−	0.508477i	−0.870892	+	0.491475i	$0.836458\pi$
$912$	25.3243	+	21.3669i	0.838573	+	0.707528i
$913$	−13.3960	−	7.73418i	−0.443343	−	0.255964i
$914$	−2.02856	−	11.2461i	−0.0670987	−	0.371987i
$915$	−0.633714	+	0.0997425i	−0.0209499	+	0.00329739i
$916$	−0.870421	−	0.718795i	−0.0287595	−	0.0237497i
$917$	44.1253	−	13.7760i	1.45715	−	0.454924i
$918$	38.1100	−	28.7794i	1.25782	−	0.949861i
$919$	−22.2864	−	12.8671i	−0.735161	−	0.424446i	0.0851460	−	0.996368i	$-0.472864\pi$
$919$	−22.2864	−	12.8671i	−0.735161	−	0.424446i	−0.820307	+	0.571923i	$0.806198\pi$
$920$	−0.860526	+	0.510437i	−0.0283707	+	0.0168286i
$921$	−30.9078	−	11.8987i	−1.01845	−	0.392075i
$922$	−19.3509	+	16.3673i	−0.637289	+	0.539028i
$923$	23.4808	−	13.5566i	0.772880	−	0.446222i
$924$	−9.91111	−	9.32894i	−0.326052	−	0.306900i
$925$	−3.73224	−	2.15481i	−0.122715	−	0.0708497i
$926$	−51.2293	+	9.24070i	−1.68350	+	0.303668i
$927$	34.2512	+	30.9600i	1.12496	+	1.01686i
$928$	−28.8388	+	35.7725i	−0.946682	+	1.17429i
$929$	8.83692	−	5.10200i	0.289930	−	0.167391i	−0.347980	−	0.937502i	$-0.613132\pi$
$929$	8.83692	−	5.10200i	0.289930	−	0.167391i	0.637910	+	0.770111i	$0.279799\pi$
$930$	−0.427305	−	1.22915i	−0.0140119	−	0.0403054i
$931$	33.3659	−	2.72967i	1.09352	−	0.0894614i
$932$	−3.23948	+	1.20798i	−0.106113	+	0.0395685i
$933$	21.4969	+	26.5990i	0.703778	+	0.870813i
$934$	15.1428	+	17.9033i	0.495489	+	0.585812i
$935$	1.11415	−	0.643257i	0.0364367	−	0.0210367i
$936$	−52.9030	+	17.7671i	−1.72919	+	0.580737i
$937$			16.9419i			0.553469i	0.960946	+	0.276734i	$0.0892523\pi$
$937$			16.9419i			0.553469i	−0.960946	+	0.276734i	$0.910748\pi$
$938$	−10.8181	−	6.87503i	−0.353223	−	0.224478i
$939$	−1.56520	−	9.94447i	−0.0510782	−	0.324525i
$940$	0.123601	−	0.734674i	0.00403141	−	0.0239624i
$941$	−16.5787	+	28.7152i	−0.540451	+	0.936089i	0.458427	+	0.888732i	$0.348413\pi$
$941$	−16.5787	+	28.7152i	−0.540451	+	0.936089i	−0.998878	+	0.0473567i	$0.984920\pi$
$942$	−11.1934	−	32.1981i	−0.364701	−	1.04907i
$943$	10.6701	+	18.4811i	0.347466	+	0.601829i
$944$	12.3244	−	35.5910i	0.401125	−	1.15839i
$945$	−1.27698	−	1.31442i	−0.0415402	−	0.0427581i
$946$	7.94861	−	6.72305i	0.258432	−	0.218585i
$947$	17.4063	+	30.1487i	0.565630	+	0.979701i	0.996991	+	0.0775208i	$0.0247004\pi$
$947$	17.4063	+	30.1487i	0.565630	+	0.979701i	−0.431360	+	0.902180i	$0.641966\pi$
$948$	18.9094	−	31.9672i	0.614147	−	1.03825i
$949$	65.8099	+	37.9954i	2.13628	+	1.23338i
$950$	−21.7613	−	25.7282i	−0.706030	−	0.834734i
$951$	−1.51238	−	9.60891i	−0.0490423	−	0.311590i
$952$	10.0999	−	47.5719i	0.327341	−	1.54181i
$953$	−43.6402			−1.41364			−0.706822	−	0.707391i	$-0.749872\pi$
$953$	−43.6402			−1.41364			−0.706822	+	0.707391i	$0.749872\pi$
$954$	6.10397	+	3.79728i	0.197623	+	0.122941i
$955$	−0.730667	+	0.421851i	−0.0236438	+	0.0136508i
$956$	1.85517	+	0.312112i	0.0600005	+	0.0100944i
$957$	−16.2502	+	13.1331i	−0.525294	+	0.424534i
$958$	22.4914	+	8.08630i	0.726664	+	0.261257i
$959$	−18.0197	−	57.7182i	−0.581888	−	1.86382i
$960$	−1.19454	−	1.40882i	−0.0385537	−	0.0454693i
$961$	7.55837	+	13.0915i	0.243819	+	0.422306i
$962$	2.72200	−	7.57101i	0.0877606	−	0.244099i
$963$	37.5888	−	12.1330i	1.21128	−	0.390982i
$964$	4.30203	−	5.20952i	0.138559	−	0.167787i
$965$	−0.265608	+	0.460046i	−0.00855022	+	0.0148094i
$966$	−6.85538	+	15.7724i	−0.220568	+	0.507469i
$967$	−10.1047	+	5.83396i	−0.324946	+	0.187607i	−0.653595	−	0.756845i	$-0.726740\pi$
$967$	−10.1047	+	5.83396i	−0.324946	+	0.187607i	0.328649	+	0.944452i	$0.393407\pi$
$968$	12.6903	+	21.3941i	0.407882	+	0.687632i
$969$	−19.3404	+	50.2383i	−0.621303	+	1.61389i
$970$	0.839344	+	0.992350i	0.0269497	+	0.0318624i
$971$	−30.7753	−	17.7681i	−0.987626	−	0.570206i	−0.0830623	−	0.996544i	$-0.526470\pi$
$971$	−30.7753	−	17.7681i	−0.987626	−	0.570206i	−0.904564	+	0.426338i	$0.859803\pi$
$972$	−17.9594	−	25.4845i	−0.576049	−	0.817415i
$973$	1.19841	+	1.10437i	0.0384194	+	0.0354046i
$974$	38.6857	−	6.97811i	1.23957	−	0.223593i
$975$	56.0649	−	8.82426i	1.79551	−	0.282603i
$976$	−8.40058	+	7.27684i	−0.268896	+	0.232926i
$977$	−24.3253	+	42.1326i	−0.778234	+	1.34794i	0.154724	+	0.987958i	$0.450551\pi$
$977$	−24.3253	+	42.1326i	−0.778234	+	1.34794i	−0.932959	+	0.359984i	$0.882782\pi$
$978$	4.52225	+	13.0083i	0.144606	+	0.415961i
$979$	−1.46130	−	0.843681i	−0.0467033	−	0.0269642i
$980$	−1.85947	−	0.158530i	−0.0593986	−	0.00506405i
$981$	29.0275	+	6.22866i	0.926775	+	0.198866i
$982$	−4.74568	−	26.3095i	−0.151441	−	0.839568i
$983$	7.88109			0.251368			0.125684	−	0.992070i	$-0.459888\pi$
$983$	7.88109			0.251368			0.125684	+	0.992070i	$0.459888\pi$
$984$	−30.3467	+	25.1226i	−0.967418	+	0.800878i
$985$			0.154975i			0.00493793i
$986$	−70.2510	−	25.2573i	−2.23725	−	0.804355i
$987$	−5.67042	−	11.4818i	−0.180492	−	0.365468i
$988$	40.0566	−	48.5063i	1.27437	−	1.54319i
$989$	−11.3917	−	6.57700i	−0.362235	−	0.209136i
$990$	−0.395781	−	0.740788i	−0.0125787	−	0.0235438i
$991$	−24.6725	+	14.2447i	−0.783748	+	0.452497i	−0.837757	−	0.546043i	$-0.816133\pi$
$991$	−24.6725	+	14.2447i	−0.783748	+	0.452497i	0.0540088	+	0.998540i	$0.482800\pi$
$992$	−17.5515	−	14.1495i	−0.557260	−	0.449249i
$993$	24.7636	−	3.89763i	0.785848	−	0.123687i
$994$	15.4111	+	0.655748i	0.488810	+	0.0207991i
$995$	−0.523525	−	0.906772i	−0.0165969	−	0.0287466i
$996$	−36.0795	−	0.381195i	−1.14322	−	0.0120786i
$997$	0.483071			0.0152990			0.00764951	−	0.999971i	$-0.497565\pi$
$997$	0.483071			0.0152990			0.00764951	+	0.999971i	$0.497565\pi$
$998$	7.27267	+	2.61474i	0.230212	+	0.0827680i
$999$	4.48780	+	0.248249i	0.141988	+	0.00785425i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	504.2.cz.b.187.11	yes	180
7.3	odd	6		504.2.bf.b.115.71	✓	180
8.3	odd	2	inner	504.2.cz.b.187.50	yes	180
9.4	even	3		504.2.bf.b.355.71	yes	180
56.3	even	6		504.2.bf.b.115.72	yes	180
63.31	odd	6	inner	504.2.cz.b.283.50	yes	180
72.67	odd	6		504.2.bf.b.355.72	yes	180
504.283	even	6	inner	504.2.cz.b.283.11	yes	180

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
504.2.bf.b.115.71	✓	180	7.3	odd	6
504.2.bf.b.115.72	yes	180	56.3	even	6
504.2.bf.b.355.71	yes	180	9.4	even	3
504.2.bf.b.355.72	yes	180	72.67	odd	6
504.2.cz.b.187.11	yes	180	1.1	even	1	trivial
504.2.cz.b.187.50	yes	180	8.3	odd	2	inner
504.2.cz.b.283.11	yes	180	504.283	even	6	inner
504.2.cz.b.283.50	yes	180	63.31	odd	6	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:	\( N \)	\(=\)	\( 504 = 2^{3} \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	504.cz (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.33082 - 0.478466i) q^{2} +(-0.622274 + 1.61641i) q^{3} +(1.54214 + 1.27350i) q^{4} +0.133301 q^{5} +(1.60153 - 1.85340i) q^{6} +(-0.788476 - 2.52553i) q^{7} +(-1.44298 - 2.43266i) q^{8} +(-2.22555 - 2.01170i) q^{9} +O(q^{10})\)	\(q+(-1.33082 - 0.478466i) q^{2} +(-0.622274 + 1.61641i) q^{3} +(1.54214 + 1.27350i) q^{4} +0.133301 q^{5} +(1.60153 - 1.85340i) q^{6} +(-0.788476 - 2.52553i) q^{7} +(-1.44298 - 2.43266i) q^{8} +(-2.22555 - 2.01170i) q^{9} +(-0.177399 - 0.0637802i) q^{10} -1.48508 q^{11} +(-3.01813 + 1.70026i) q^{12} +(3.28844 + 5.69575i) q^{13} +(-0.159065 + 3.73827i) q^{14} +(-0.0829499 + 0.215469i) q^{15} +(0.756390 + 3.92783i) q^{16} +(-5.62808 + 3.24937i) q^{17} +(1.99926 + 3.74205i) q^{18} +(-4.14176 - 2.39124i) q^{19} +(0.205569 + 0.169759i) q^{20} +(4.57294 + 0.297074i) q^{21} +(1.97637 + 0.710562i) q^{22} -2.65368i q^{23} +(4.83009 - 0.818657i) q^{24} -4.98223 q^{25} +(-1.65109 - 9.15341i) q^{26} +(4.63663 - 2.34557i) q^{27} +(2.00033 - 4.89885i) q^{28} +(-7.03454 - 4.06139i) q^{29} +(0.213486 - 0.247061i) q^{30} +(1.99269 - 3.45144i) q^{31} +(0.872722 - 5.58913i) q^{32} +(0.924128 - 2.40050i) q^{33} +(9.04466 - 1.63147i) q^{34} +(-0.105105 - 0.336656i) q^{35} +(-0.870207 - 5.93656i) q^{36} +(0.749111 + 0.432499i) q^{37} +(4.36778 + 5.16400i) q^{38} +(-11.2530 + 1.77115i) q^{39} +(-0.192350 - 0.324276i) q^{40} +(-6.96434 + 4.02087i) q^{41} +(-5.94359 - 2.58335i) q^{42} +(2.47844 - 4.29279i) q^{43} +(-2.29020 - 1.89125i) q^{44} +(-0.296668 - 0.268162i) q^{45} +(-1.26970 + 3.53156i) q^{46} +(-1.39721 - 2.42004i) q^{47} +(-6.81966 - 1.22156i) q^{48} +(-5.75661 + 3.98264i) q^{49} +(6.63043 + 2.38383i) q^{50} +(-1.75010 - 11.1193i) q^{51} +(-2.18231 + 12.9715i) q^{52} +(1.46739 - 0.847199i) q^{53} +(-7.29277 + 0.903046i) q^{54} -0.197963 q^{55} +(-5.00600 + 5.56237i) q^{56} +(6.44253 - 5.20676i) q^{57} +(7.41844 + 8.77076i) q^{58} +(-8.15458 - 4.70805i) q^{59} +(-0.402321 + 0.226647i) q^{60} +(1.38926 + 2.40626i) q^{61} +(-4.30330 + 3.63979i) q^{62} +(-3.32581 + 7.20687i) q^{63} +(-3.83564 + 7.02053i) q^{64} +(0.438354 + 0.759251i) q^{65} +(-2.37840 + 2.75245i) q^{66} +(-1.71286 + 2.96675i) q^{67} +(-12.8174 - 2.15638i) q^{68} +(4.28943 + 1.65132i) q^{69} +(-0.0212036 + 0.498317i) q^{70} -4.12251i q^{71} +(-1.68236 + 8.31683i) q^{72} +(10.0062 - 5.77710i) q^{73} +(-0.789992 - 0.934001i) q^{74} +(3.10031 - 8.05332i) q^{75} +(-3.34191 - 8.96216i) q^{76} +(1.17095 + 3.75062i) q^{77} +(15.8231 + 3.02710i) q^{78} +(-9.28529 + 5.36086i) q^{79} +(0.100828 + 0.523585i) q^{80} +(0.906138 + 8.95427i) q^{81} +(11.1921 - 2.01883i) q^{82} +(9.02038 + 5.20792i) q^{83} +(6.67378 + 6.28177i) q^{84} +(-0.750230 + 0.433146i) q^{85} +(-5.35231 + 4.52706i) q^{86} +(10.9423 - 8.84339i) q^{87} +(2.14294 + 3.61269i) q^{88} +(0.983986 + 0.568104i) q^{89} +(0.266504 + 0.498820i) q^{90} +(11.7919 - 12.7960i) q^{91} +(3.37947 - 4.09235i) q^{92} +(4.33894 + 5.36874i) q^{93} +(0.701521 + 3.88914i) q^{94} +(-0.552101 - 0.318756i) q^{95} +(8.49124 + 4.88865i) q^{96} +(-5.97076 - 3.44722i) q^{97} +(9.56655 - 2.54582i) q^{98} +(3.30512 + 2.98754i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 180 q + 3 q^{2} + q^{4} + 6 q^{6} - 8 q^{9}+O(q^{10}) \) 180 * q + 3 * q^2 + q^4 + 6 * q^6 - 8 * q^9	\( 180 q + 3 q^{2} + q^{4} + 6 q^{6} - 8 q^{9} + 16 q^{11} - 3 q^{12} + 7 q^{14} - 7 q^{16} - 18 q^{17} - 13 q^{18} - 6 q^{19} - 36 q^{20} - 16 q^{22} - 24 q^{24} + 156 q^{25} - 6 q^{26} + 16 q^{28} - 8 q^{30} + 13 q^{32} - 36 q^{33} + 12 q^{34} - 12 q^{35} + 2 q^{36} + 42 q^{41} + 31 q^{42} + 14 q^{43} - 21 q^{44} - 12 q^{46} + 9 q^{48} + 20 q^{49} + 15 q^{50} - 42 q^{51} - 12 q^{54} - 40 q^{56} - 26 q^{57} - 38 q^{58} + 18 q^{59} - 38 q^{60} - 8 q^{64} - 12 q^{65} - 21 q^{66} - 14 q^{67} - 42 q^{70} + 5 q^{72} + 18 q^{73} - 98 q^{74} - 48 q^{75} + 12 q^{76} - 33 q^{78} - 63 q^{80} + 8 q^{81} - 54 q^{82} - 6 q^{83} - 77 q^{84} + 26 q^{86} - 58 q^{88} - 66 q^{89} + 51 q^{90} + 2 q^{91} - 60 q^{92} + 9 q^{94} - 30 q^{96} + 6 q^{97} + 31 q^{98} + 4 q^{99}+O(q^{100}) \) 180 * q + 3 * q^2 + q^4 + 6 * q^6 - 8 * q^9 + 16 * q^11 - 3 * q^12 + 7 * q^14 - 7 * q^16 - 18 * q^17 - 13 * q^18 - 6 * q^19 - 36 * q^20 - 16 * q^22 - 24 * q^24 + 156 * q^25 - 6 * q^26 + 16 * q^28 - 8 * q^30 + 13 * q^32 - 36 * q^33 + 12 * q^34 - 12 * q^35 + 2 * q^36 + 42 * q^41 + 31 * q^42 + 14 * q^43 - 21 * q^44 - 12 * q^46 + 9 * q^48 + 20 * q^49 + 15 * q^50 - 42 * q^51 - 12 * q^54 - 40 * q^56 - 26 * q^57 - 38 * q^58 + 18 * q^59 - 38 * q^60 - 8 * q^64 - 12 * q^65 - 21 * q^66 - 14 * q^67 - 42 * q^70 + 5 * q^72 + 18 * q^73 - 98 * q^74 - 48 * q^75 + 12 * q^76 - 33 * q^78 - 63 * q^80 + 8 * q^81 - 54 * q^82 - 6 * q^83 - 77 * q^84 + 26 * q^86 - 58 * q^88 - 66 * q^89 + 51 * q^90 + 2 * q^91 - 60 * q^92 + 9 * q^94 - 30 * q^96 + 6 * q^97 + 31 * q^98 + 4 * q^99

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