LMFDB - Embedded newform 280.2.bv.e.213.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [280,2,Mod(117,280)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(280, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([0, 6, 3, 10]))

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

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

chi := DirichletCharacter("280.117");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 280 = 2^{3} \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	280.bv (of order $12$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.23581125660$
Analytic rank:	$0$
Dimension:	$160$
Relative dimension:	$40$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			213.7
Character	$\chi$	$=$	280.213
Dual form			280.2.bv.e.117.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.24982 + 0.661775i) q^{2} +(3.03007 - 0.811904i) q^{3} +(1.12411 - 1.65420i) q^{4} +(0.203394 - 2.22680i) q^{5} +(-3.24974 + 3.01996i) q^{6} +(-2.64044 + 0.167503i) q^{7} +(-0.310224 + 2.81136i) q^{8} +(5.92404 - 3.42025i) q^{9} +O(q^{10})$	\(q+(-1.24982 + 0.661775i) q^{2} +(3.03007 - 0.811904i) q^{3} +(1.12411 - 1.65420i) q^{4} +(0.203394 - 2.22680i) q^{5} +(-3.24974 + 3.01996i) q^{6} +(-2.64044 + 0.167503i) q^{7} +(-0.310224 + 2.81136i) q^{8} +(5.92404 - 3.42025i) q^{9} +(1.21943 + 2.91770i) q^{10} +(1.83667 + 1.06040i) q^{11} +(2.06307 - 5.92501i) q^{12} +(0.498628 + 0.498628i) q^{13} +(3.18923 - 1.95673i) q^{14} +(-1.19165 - 6.91248i) q^{15} +(-1.47277 - 3.71900i) q^{16} +(-0.344790 + 0.0923862i) q^{17} +(-5.14056 + 8.19508i) q^{18} +(-3.42145 + 1.97538i) q^{19} +(-3.45494 - 2.83961i) q^{20} +(-7.86473 + 2.65133i) q^{21} +(-2.99726 - 0.109850i) q^{22} +(1.24787 - 4.65710i) q^{23} +(1.34256 + 8.77049i) q^{24} +(-4.91726 - 0.905833i) q^{25} +(-0.953175 - 0.293216i) q^{26} +(8.51884 - 8.51884i) q^{27} +(-2.69106 + 4.55612i) q^{28} +3.32889 q^{29} +(6.06386 + 7.85077i) q^{30} +(5.09431 + 2.94120i) q^{31} +(4.30184 + 3.67345i) q^{32} +(6.42618 + 1.72189i) q^{33} +(0.369787 - 0.343640i) q^{34} +(-0.164055 + 5.91380i) q^{35} +(1.00148 - 13.6443i) q^{36} +(-2.23636 + 8.34623i) q^{37} +(2.96895 - 4.73310i) q^{38} +(1.91571 + 1.10604i) q^{39} +(6.19724 + 1.26262i) q^{40} -6.13571i q^{41} +(8.07492 - 8.51837i) q^{42} +(-6.70579 + 6.70579i) q^{43} +(3.81873 - 1.84622i) q^{44} +(-6.41129 - 13.8873i) q^{45} +(1.52234 + 6.64635i) q^{46} +(-2.51006 + 9.36768i) q^{47} +(-7.48205 - 10.0731i) q^{48} +(6.94389 - 0.884562i) q^{49} +(6.74516 - 2.12199i) q^{50} +(-0.969728 + 0.559872i) q^{51} +(1.38534 - 0.264320i) q^{52} +(-0.228182 - 0.851586i) q^{53} +(-5.00947 + 16.2846i) q^{54} +(2.73487 - 3.87421i) q^{55} +(0.348218 - 7.47521i) q^{56} +(-8.76341 + 8.76341i) q^{57} +(-4.16051 + 2.20297i) q^{58} +(12.9687 + 7.48746i) q^{59} +(-12.7742 - 5.79914i) q^{60} +(-0.445868 - 0.772266i) q^{61} +(-8.31340 - 0.304689i) q^{62} +(-15.0692 + 10.0233i) q^{63} +(-7.80752 - 1.74430i) q^{64} +(1.21176 - 1.00893i) q^{65} +(-9.17107 + 2.10063i) q^{66} +(-9.66379 + 2.58940i) q^{67} +(-0.234755 + 0.674204i) q^{68} -15.1245i q^{69} +(-3.70857 - 7.49977i) q^{70} -1.28957 q^{71} +(7.77778 + 17.7157i) q^{72} +(0.278867 + 1.04075i) q^{73} +(-2.72827 - 11.9113i) q^{74} +(-15.6351 + 1.24761i) q^{75} +(-0.578409 + 7.88031i) q^{76} +(-5.02724 - 2.49228i) q^{77} +(-3.12625 - 0.114578i) q^{78} +(-11.4537 + 6.61281i) q^{79} +(-8.58101 + 2.52313i) q^{80} +(8.63544 - 14.9570i) q^{81} +(4.06046 + 7.66855i) q^{82} +(5.33493 + 5.33493i) q^{83} +(-4.45496 + 15.9902i) q^{84} +(0.135597 + 0.786568i) q^{85} +(3.94331 - 12.8188i) q^{86} +(10.0867 - 2.70274i) q^{87} +(-3.55095 + 4.83458i) q^{88} +(-5.51135 - 9.54594i) q^{89} +(17.2032 + 13.1138i) q^{90} +(-1.40012 - 1.23308i) q^{91} +(-6.30105 - 7.29931i) q^{92} +(17.8241 + 4.77595i) q^{93} +(-3.06217 - 13.3690i) q^{94} +(3.70286 + 8.02066i) q^{95} +(16.0173 + 7.63811i) q^{96} +(-5.53919 - 5.53919i) q^{97} +(-8.09324 + 5.70084i) q^{98} +14.5073 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 160 q - 2 q^{2} + 12 q^{7} + 4 q^{8}+O(q^{10}) $ 160 * q - 2 * q^2 + 12 * q^7 + 4 * q^8	$ 160 q - 2 q^{2} + 12 q^{7} + 4 q^{8} - 6 q^{10} + 6 q^{12} - 8 q^{15} + 4 q^{16} - 12 q^{17} - 28 q^{18} - 24 q^{22} - 16 q^{23} + 20 q^{25} - 12 q^{26} - 46 q^{28} + 32 q^{30} + 48 q^{31} + 18 q^{32} - 12 q^{33} - 32 q^{36} - 48 q^{38} + 54 q^{40} + 6 q^{42} - 64 q^{46} - 132 q^{47} - 12 q^{50} - 20 q^{56} - 88 q^{57} + 6 q^{58} + 34 q^{60} - 32 q^{63} - 28 q^{65} - 180 q^{66} + 60 q^{68} - 108 q^{70} - 160 q^{71} + 52 q^{72} + 84 q^{73} + 48 q^{78} - 48 q^{80} + 16 q^{81} - 90 q^{82} - 84 q^{86} - 12 q^{87} + 44 q^{88} + 36 q^{92} - 20 q^{95} - 48 q^{96} - 94 q^{98}+O(q^{100}) $ 160 * q - 2 * q^2 + 12 * q^7 + 4 * q^8 - 6 * q^10 + 6 * q^12 - 8 * q^15 + 4 * q^16 - 12 * q^17 - 28 * q^18 - 24 * q^22 - 16 * q^23 + 20 * q^25 - 12 * q^26 - 46 * q^28 + 32 * q^30 + 48 * q^31 + 18 * q^32 - 12 * q^33 - 32 * q^36 - 48 * q^38 + 54 * q^40 + 6 * q^42 - 64 * q^46 - 132 * q^47 - 12 * q^50 - 20 * q^56 - 88 * q^57 + 6 * q^58 + 34 * q^60 - 32 * q^63 - 28 * q^65 - 180 * q^66 + 60 * q^68 - 108 * q^70 - 160 * q^71 + 52 * q^72 + 84 * q^73 + 48 * q^78 - 48 * q^80 + 16 * q^81 - 90 * q^82 - 84 * q^86 - 12 * q^87 + 44 * q^88 + 36 * q^92 - 20 * q^95 - 48 * q^96 - 94 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/280\mathbb{Z}\right)^\times$.

$n$	$57$	$71$	$141$	$241$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$1$	$-1$	$e\left(\frac{1}{6}\right)$

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 $

$2$	−1.24982	+	0.661775i	−0.883757	+	0.467946i
$2$	−1.24982	+	0.661775i	−0.883757	+	0.467946i
$3$	3.03007	−	0.811904i	1.74941	−	0.468753i	0.764910	−	0.644137i	$-0.222783\pi$
$3$	3.03007	−	0.811904i	1.74941	−	0.468753i	0.984500	+	0.175384i	$0.0561167\pi$
$4$	1.12411	−	1.65420i	0.562054	−	0.827101i
$5$	0.203394	−	2.22680i	0.0909604	−	0.995855i
$5$	0.203394	−	2.22680i	0.0909604	−	0.995855i
$6$	−3.24974	+	3.01996i	−1.32670	+	1.23289i
$7$	−2.64044	+	0.167503i	−0.997994	+	0.0633100i
$7$	−2.64044	+	0.167503i	−0.997994	+	0.0633100i
$8$	−0.310224	+	2.81136i	−0.109681	+	0.993967i
$9$	5.92404	−	3.42025i	1.97468	−	1.14008i
$10$	1.21943	+	2.91770i	0.385619	+	0.922658i
$11$	1.83667	+	1.06040i	0.553777	+	0.319723i	0.750644	−	0.660707i	$-0.229743\pi$
$11$	1.83667	+	1.06040i	0.553777	+	0.319723i	−0.196867	+	0.980430i	$0.563077\pi$
$12$	2.06307	−	5.92501i	0.595556	−	1.71040i
$13$	0.498628	+	0.498628i	0.138294	+	0.138294i	0.772865	−	0.634571i	$-0.218823\pi$
$13$	0.498628	+	0.498628i	0.138294	+	0.138294i	−0.634571	+	0.772865i	$0.718823\pi$
$14$	3.18923	−	1.95673i	0.852359	−	0.522958i
$15$	−1.19165	−	6.91248i	−0.307683	−	1.78480i
$16$	−1.47277	−	3.71900i	−0.368191	−	0.929750i
$17$	−0.344790	+	0.0923862i	−0.0836238	+	0.0224069i	−0.300388	−	0.953817i	$-0.597116\pi$
$17$	−0.344790	+	0.0923862i	−0.0836238	+	0.0224069i	0.216765	+	0.976224i	$0.430450\pi$
$18$	−5.14056	+	8.19508i	−1.21164	+	1.93160i
$19$	−3.42145	+	1.97538i	−0.784935	+	0.453182i	−0.838176	−	0.545399i	$-0.816378\pi$
$19$	−3.42145	+	1.97538i	−0.784935	+	0.453182i	0.0532414	+	0.998582i	$0.483045\pi$
$20$	−3.45494	−	2.83961i	−0.772547	−	0.634957i
$21$	−7.86473	+	2.65133i	−1.71622	+	0.578568i
$22$	−2.99726	−	0.109850i	−0.639017	−	0.0234202i
$23$	1.24787	−	4.65710i	0.260198	−	0.971073i	−0.704926	−	0.709281i	$-0.749020\pi$
$23$	1.24787	−	4.65710i	0.260198	−	0.971073i	0.965124	−	0.261792i	$-0.0843135\pi$
$24$	1.34256	+	8.77049i	0.274048	+	1.79027i
$25$	−4.91726	−	0.905833i	−0.983452	−	0.181167i
$26$	−0.953175	−	0.293216i	−0.186933	−	0.0575044i
$27$	8.51884	−	8.51884i	1.63945	−	1.63945i
$28$	−2.69106	+	4.55612i	−0.508562	+	0.861025i
$29$	3.32889			0.618158			0.309079	−	0.951036i	$-0.399979\pi$
$29$	3.32889			0.618158			0.309079	+	0.951036i	$0.399979\pi$
$30$	6.06386	+	7.85077i	1.10710	+	1.43335i
$31$	5.09431	+	2.94120i	0.914966	+	0.528256i	0.882026	−	0.471202i	$-0.156180\pi$
$31$	5.09431	+	2.94120i	0.914966	+	0.528256i	0.0329402	+	0.999457i	$0.489513\pi$
$32$	4.30184	+	3.67345i	0.760464	+	0.649380i
$33$	6.42618	+	1.72189i	1.11865	+	0.299742i
$34$	0.369787	−	0.343640i	0.0634179	−	0.0589337i
$35$	−0.164055	+	5.91380i	−0.0277304	+	0.999615i
$36$	1.00148	−	13.6443i	0.166913	−	2.27405i
$37$	−2.23636	+	8.34623i	−0.367656	+	1.37211i	0.496128	+	0.868249i	$0.334755\pi$
$37$	−2.23636	+	8.34623i	−0.367656	+	1.37211i	−0.863784	+	0.503862i	$0.831912\pi$
$38$	2.96895	−	4.73310i	0.481627	−	0.767810i
$39$	1.91571	+	1.10604i	0.306760	+	0.177108i
$40$	6.19724	+	1.26262i	0.979870	+	0.199638i
$41$		−	6.13571i		−	0.958237i	−0.877750	−	0.479119i	$-0.840956\pi$
$41$		−	6.13571i		−	0.958237i	0.877750	−	0.479119i	$-0.159044\pi$
$42$	8.07492	−	8.51837i	1.24599	−	1.31441i
$43$	−6.70579	+	6.70579i	−1.02262	+	1.02262i	−0.0228848	+	0.999738i	$0.507285\pi$
$43$	−6.70579	+	6.70579i	−1.02262	+	1.02262i	−0.999738	+	0.0228848i	$0.992715\pi$
$44$	3.81873	−	1.84622i	0.575695	−	0.278328i
$45$	−6.41129	−	13.8873i	−0.955739	−	2.07020i
$46$	1.52234	+	6.64635i	0.224457	+	0.979951i
$47$	−2.51006	+	9.36768i	−0.366130	+	1.36642i	0.499752	+	0.866168i	$0.333424\pi$
$47$	−2.51006	+	9.36768i	−0.366130	+	1.36642i	−0.865882	+	0.500248i	$0.833242\pi$
$48$	−7.48205	−	10.0731i	−1.07994	−	1.45392i
$49$	6.94389	−	0.884562i	0.991984	−	0.126366i
$50$	6.74516	−	2.12199i	0.953909	−	0.300095i
$51$	−0.969728	+	0.559872i	−0.135789	+	0.0783978i
$52$	1.38534	−	0.264320i	0.192112	−	0.0366546i
$53$	−0.228182	−	0.851586i	−0.0313432	−	0.116974i	0.948482	−	0.316831i	$-0.102619\pi$
$53$	−0.228182	−	0.851586i	−0.0313432	−	0.116974i	−0.979825	+	0.199857i	$0.935952\pi$
$54$	−5.00947	+	16.2846i	−0.681703	+	2.21605i
$55$	2.73487	−	3.87421i	0.368769	−	0.522399i
$56$	0.348218	−	7.47521i	0.0465326	−	0.998917i
$57$	−8.76341	+	8.76341i	−1.16074	+	1.16074i
$58$	−4.16051	+	2.20297i	−0.546302	+	0.289265i
$59$	12.9687	+	7.48746i	1.68838	+	0.974784i	0.955763	+	0.294139i	$0.0950329\pi$
$59$	12.9687	+	7.48746i	1.68838	+	0.974784i	0.732613	+	0.680645i	$0.238300\pi$
$60$	−12.7742	−	5.79914i	−1.64914	−	0.748666i
$61$	−0.445868	−	0.772266i	−0.0570876	−	0.0988786i	0.836069	−	0.548624i	$-0.184848\pi$
$61$	−0.445868	−	0.772266i	−0.0570876	−	0.0988786i	−0.893157	+	0.449745i	$0.851515\pi$
$62$	−8.31340	−	0.304689i	−1.05580	−	0.0386955i
$63$	−15.0692	+	10.0233i	−1.89854	+	1.26281i
$64$	−7.80752	−	1.74430i	−0.975940	−	0.218038i
$65$	1.21176	−	1.00893i	0.150300	−	0.125142i
$66$	−9.17107	+	2.10063i	−1.12888	+	0.258570i
$67$	−9.66379	+	2.58940i	−1.18062	+	0.316346i	−0.795172	−	0.606384i	$-0.792620\pi$
$67$	−9.66379	+	2.58940i	−1.18062	+	0.316346i	−0.385447	+	0.922730i	$0.625953\pi$
$68$	−0.234755	+	0.674204i	−0.0284683	+	0.0817592i
$69$		−	15.1245i		−	1.82077i
$70$	−3.70857	−	7.49977i	−0.443259	−	0.896394i
$71$	−1.28957			−0.153043			−0.0765216	−	0.997068i	$-0.524381\pi$
$71$	−1.28957			−0.153043			−0.0765216	+	0.997068i	$0.524381\pi$
$72$	7.77778	+	17.7157i	0.916620	+	2.08781i
$73$	0.278867	+	1.04075i	0.0326389	+	0.121810i	0.980323	−	0.197399i	$-0.0632494\pi$
$73$	0.278867	+	1.04075i	0.0326389	+	0.121810i	−0.947684	+	0.319209i	$0.896583\pi$
$74$	−2.72827	−	11.9113i	−0.317155	−	1.38466i
$75$	−15.6351	+	1.24761i	−1.80538	+	0.144062i
$76$	−0.578409	+	7.88031i	−0.0663480	+	0.903933i
$77$	−5.02724	−	2.49228i	−0.572907	−	0.284022i
$78$	−3.12625	−	0.114578i	−0.353978	−	0.0129734i
$79$	−11.4537	+	6.61281i	−1.28864	+	0.743999i	−0.978412	−	0.206662i	$-0.933740\pi$
$79$	−11.4537	+	6.61281i	−1.28864	+	0.743999i	−0.310232	+	0.950661i	$0.600407\pi$
$80$	−8.58101	+	2.52313i	−0.959387	+	0.282095i
$81$	8.63544	−	14.9570i	0.959494	−	1.66189i
$82$	4.06046	+	7.66855i	0.448403	+	0.846849i
$83$	5.33493	+	5.33493i	0.585584	+	0.585584i	0.936432	−	0.350848i	$-0.114107\pi$
$83$	5.33493	+	5.33493i	0.585584	+	0.585584i	−0.350848	+	0.936432i	$0.614107\pi$
$84$	−4.45496	+	15.9902i	−0.486076	+	1.74468i
$85$	0.135597	+	0.786568i	0.0147076	+	0.0853153i
$86$	3.94331	−	12.8188i	0.425218	−	1.38228i
$87$	10.0867	−	2.70274i	1.08141	−	0.289764i
$88$	−3.55095	+	4.83458i	−0.378533	+	0.515368i
$89$	−5.51135	−	9.54594i	−0.584202	−	1.01187i	−0.994974	−	0.100129i	$-0.968074\pi$
$89$	−5.51135	−	9.54594i	−0.584202	−	1.01187i	0.410773	−	0.911738i	$-0.365259\pi$
$90$	17.2032	+	13.1138i	1.81338	+	1.38232i
$91$	−1.40012	−	1.23308i	−0.146772	−	0.129262i
$92$	−6.30105	−	7.29931i	−0.656930	−	0.761005i
$93$	17.8241	+	4.77595i	1.84827	+	0.495243i
$94$	−3.06217	−	13.3690i	−0.315838	−	1.37891i
$95$	3.70286	+	8.02066i	0.379906	+	0.822903i
$96$	16.0173	+	7.63811i	1.63476	+	0.779561i
$97$	−5.53919	−	5.53919i	−0.562420	−	0.562420i	0.367574	−	0.929994i	$-0.380188\pi$
$97$	−5.53919	−	5.53919i	−0.562420	−	0.562420i	−0.929994	+	0.367574i	$0.880188\pi$
$98$	−8.09324	+	5.70084i	−0.817540	+	0.575871i
$99$	14.5073			1.45804
$100$	−7.02596	+	7.11589i	−0.702596	+	0.711589i
$101$	2.01926	−	3.49746i	0.200924	−	0.348010i	−0.747902	−	0.663809i	$-0.768939\pi$
$101$	2.01926	−	3.49746i	0.200924	−	0.348010i	0.948826	+	0.315798i	$0.102272\pi$
$102$	0.841477	−	1.34148i	0.0833186	−	0.132827i
$103$	4.28612	+	1.14846i	0.422324	+	0.113161i	0.463721	−	0.885981i	$-0.346514\pi$
$103$	4.28612	+	1.14846i	0.422324	+	0.113161i	−0.0413967	+	0.999143i	$0.513181\pi$
$104$	−1.55651	+	1.24714i	−0.152628	+	0.122292i
$105$	4.30434	+	18.0524i	0.420061	+	1.76174i
$106$	0.848745	+	0.913325i	0.0824374	+	0.0887100i
$107$	2.62936	−	9.81291i	0.254190	−	0.948649i	−0.714350	−	0.699789i	$-0.753277\pi$
$107$	2.62936	−	9.81291i	0.254190	−	0.948649i	0.968539	−	0.248860i	$-0.0800560\pi$
$108$	−4.51579	−	23.6680i	−0.434532	−	2.27745i
$109$	2.91191	−	5.04357i	0.278910	−	0.483087i	−0.692204	−	0.721702i	$-0.743360\pi$
$109$	2.91191	−	5.04357i	0.278910	−	0.483087i	0.971114	+	0.238615i	$0.0766935\pi$
$110$	−0.854237	+	6.65194i	−0.0814483	+	0.634238i
$111$			27.1053i			2.57273i
$112$	4.51170	+	9.57312i	0.426315	+	0.904575i
$113$	−7.78285	−	7.78285i	−0.732149	−	0.732149i	0.238896	−	0.971045i	$-0.423214\pi$
$113$	−7.78285	−	7.78285i	−0.732149	−	0.732149i	−0.971045	+	0.238896i	$0.923214\pi$
$114$	5.15329	−	16.7521i	0.482650	−	1.56898i
$115$	−10.1166	−	3.72597i	−0.943380	−	0.347449i
$116$	3.74202	−	5.50665i	0.347438	−	0.511279i
$117$	4.65932	+	1.24846i	0.430755	+	0.115420i
$118$	−21.1635	−	0.775650i	−1.94826	−	0.0714044i
$119$	0.894923	−	0.301694i	0.0820375	−	0.0276562i
$120$	19.8032	−	1.20574i	1.80777	−	0.110069i
$121$	−3.25110	−	5.63107i	−0.295554	−	0.511915i
$122$	1.06832	+	0.670131i	0.0967214	+	0.0606708i
$123$	−4.98161	−	18.5916i	−0.449177	−	1.67635i
$124$	10.5919	−	5.12079i	0.951181	−	0.459861i
$125$	−3.01725	+	10.7655i	−0.269871	+	0.962897i
$126$	12.2007	−	22.4997i	1.08692	−	2.00443i
$127$	3.67749	−	3.67749i	0.326325	−	0.326325i	−0.524863	−	0.851187i	$-0.675883\pi$
$127$	3.67749	−	3.67749i	0.326325	−	0.326325i	0.851187	+	0.524863i	$0.175883\pi$
$128$	10.9123	−	2.98676i	0.964524	−	0.263994i
$129$	−14.8745	+	25.7634i	−1.30963	+	2.26834i
$130$	−0.846803	+	2.06289i	−0.0742696	+	0.180927i
$131$	1.87633	+	3.24990i	0.163936	+	0.283945i	0.936277	−	0.351263i	$-0.114248\pi$
$131$	1.87633	+	3.24990i	0.163936	+	0.283945i	−0.772341	+	0.635208i	$0.780914\pi$
$132$	10.0721	−	8.69460i	0.876660	−	0.756768i
$133$	8.70327	−	5.78897i	0.754669	−	0.501968i
$134$	10.3644	−	9.63155i	0.895348	−	0.832039i
$135$	−17.2371	−	20.7024i	−1.48353	−	1.78178i
$136$	−0.152769	−	0.997990i	−0.0130998	−	0.0855769i
$137$	0.996562	+	3.71922i	0.0851421	+	0.317755i	0.995341	−	0.0964167i	$-0.0307381\pi$
$137$	0.996562	+	3.71922i	0.0851421	+	0.317755i	−0.910199	+	0.414171i	$0.864071\pi$
$138$	10.0090	+	18.9029i	0.852023	+	1.60912i
$139$			8.40620i			0.713005i	0.934294	+	0.356502i	$0.116031\pi$
$139$			8.40620i			0.713005i	−0.934294	+	0.356502i	$0.883969\pi$
$140$	9.59821	+	6.91913i	0.811197	+	0.584773i
$141$			30.4226i			2.56205i
$142$	1.61173	−	0.853402i	0.135253	−	0.0716159i
$143$	0.387069	+	1.44456i	0.0323683	+	0.120800i
$144$	−21.4446	−	16.9943i	−1.78705	−	1.41619i
$145$	0.677074	−	7.41276i	0.0562279	−	0.615596i
$146$	−1.03727	−	1.11620i	−0.0858454	−	0.0923773i
$147$	20.3223	−	8.31805i	1.67615	−	0.686061i
$148$	11.2924	+	13.0815i	0.928232	+	1.07529i
$149$	−2.04665	−	3.54491i	−0.167668	−	0.290410i	0.769931	−	0.638127i	$-0.220290\pi$
$149$	−2.04665	−	3.54491i	−0.167668	−	0.290410i	−0.937600	+	0.347717i	$0.886957\pi$
$150$	18.7154	−	11.9062i	1.52811	−	0.972137i
$151$	8.12895	−	14.0797i	0.661524	−	1.14579i	−0.318691	−	0.947859i	$-0.603243\pi$
$151$	8.12895	−	14.0797i	0.661524	−	1.14579i	0.980215	−	0.197935i	$-0.0634235\pi$
$152$	−4.49208	−	10.2318i	−0.364356	−	0.829905i
$153$	−1.72657	+	1.72657i	−0.139585	+	0.139585i
$154$	7.93249	−	0.211994i	0.639218	−	0.0170830i
$155$	7.58562	−	10.7458i	0.609291	−	0.863122i
$156$	3.98308	−	1.92567i	0.318901	−	0.154177i
$157$	2.04273	+	7.62359i	0.163028	+	0.608429i	0.998283	+	0.0585667i	$0.0186530\pi$
$157$	2.04273	+	7.62359i	0.163028	+	0.608429i	−0.835255	+	0.549862i	$0.814680\pi$
$158$	9.93891	−	15.8446i	0.790697	−	1.26053i
$159$	−1.38281	−	2.39510i	−0.109664	−	0.189944i
$160$	9.05499	−	8.83217i	0.715860	−	0.698244i
$161$	−2.51485	+	12.5058i	−0.198198	+	0.985598i
$162$	−0.894573	+	24.4083i	−0.0702843	+	1.91770i
$163$	−1.85006	−	0.495721i	−0.144908	−	0.0388279i	0.185636	−	0.982619i	$-0.440565\pi$
$163$	−1.85006	−	0.495721i	−0.144908	−	0.0388279i	−0.330544	+	0.943791i	$0.607232\pi$
$164$	−10.1497	−	6.89720i	−0.792559	−	0.538581i
$165$	5.14134	−	13.9596i	0.400253	−	1.08675i
$166$	−10.1982	−	3.13718i	−0.791536	−	0.243493i
$167$	−10.1902	−	10.1902i	−0.788545	−	0.788545i	0.192711	−	0.981256i	$-0.438272\pi$
$167$	−10.1902	−	10.1902i	−0.788545	−	0.788545i	−0.981256	+	0.192711i	$0.938272\pi$
$168$	−5.01403	−	22.9331i	−0.386841	−	1.76933i
$169$		−	12.5027i		−	0.961749i
$170$	−0.690004	−	0.893335i	−0.0529209	−	0.0685157i
$171$	−13.5126	+	23.4044i	−1.03333	+	1.78978i
$172$	3.55470	+	18.6307i	0.271043	+	1.42058i
$173$	−1.74714	+	6.52043i	−0.132833	+	0.495739i	−0.999997	−	0.00228279i	$-0.999273\pi$
$173$	−1.74714	+	6.52043i	−0.132833	+	0.495739i	0.867165	+	0.498022i	$0.165940\pi$
$174$	−10.8180	+	10.0531i	−0.820113	+	0.762123i
$175$	13.1355	+	1.56815i	0.992949	+	0.118541i
$176$	1.23865	−	8.39230i	0.0933667	−	0.632593i
$177$	45.3750	+	12.1582i	3.41059	+	0.913866i
$178$	13.2055	+	8.28344i	0.989791	+	0.620870i
$179$	−9.62560	+	16.6720i	−0.719451	+	1.24613i	0.241767	+	0.970334i	$0.422273\pi$
$179$	−9.62560	+	16.6720i	−0.719451	+	1.24613i	−0.961218	+	0.275791i	$0.911060\pi$
$180$	−30.1794	−	5.00525i	−2.24944	−	0.373070i
$181$	2.02360			0.150413			0.0752064	−	0.997168i	$-0.476038\pi$
$181$	2.02360			0.150413			0.0752064	+	0.997168i	$0.476038\pi$
$182$	2.56592	+	0.614562i	0.190199	+	0.0455543i
$183$	−1.97802	−	1.97802i	−0.146219	−	0.146219i
$184$	12.7057	+	4.95295i	0.936676	+	0.365136i
$185$	18.1305	+	6.67750i	1.33298	+	0.490940i
$186$	−25.4375	+	5.82645i	−1.86517	+	0.427216i
$187$	−0.731231	−	0.195933i	−0.0534729	−	0.0143280i
$188$	12.6744	+	14.6824i	0.924379	+	1.07083i
$189$	−21.0666	+	23.9205i	−1.53237	+	1.73996i
$190$	−9.93580	−	7.57393i	−0.720818	−	0.549471i
$191$	1.48590	+	2.57365i	0.107516	+	0.186223i	0.914763	−	0.403990i	$-0.132377\pi$
$191$	1.48590	+	2.57365i	0.107516	+	0.186223i	−0.807247	+	0.590213i	$0.799044\pi$
$192$	−25.0735	+	1.05360i	−1.80953	+	0.0760372i
$193$	−3.34574	+	0.896489i	−0.240832	+	0.0645307i	−0.377216	−	0.926125i	$-0.623119\pi$
$193$	−3.34574	+	0.896489i	−0.240832	+	0.0645307i	0.136384	+	0.990656i	$0.456452\pi$
$194$	10.5887	+	3.25730i	0.760225	+	0.233861i
$195$	2.85257	−	4.04095i	0.204277	−	0.289378i
$196$	6.34243	−	12.4809i	0.453031	−	0.891495i
$197$	−13.8584	−	13.8584i	−0.987369	−	0.987369i	0.0125527	−	0.999921i	$-0.496004\pi$
$197$	−13.8584	−	13.8584i	−0.987369	−	0.987369i	−0.999921	+	0.0125527i	$0.996004\pi$
$198$	−18.1316	+	9.60060i	−1.28856	+	0.682285i
$199$	3.90329	−	6.76070i	0.276697	−	0.479254i	−0.693865	−	0.720105i	$-0.744093\pi$
$199$	3.90329	−	6.76070i	0.276697	−	0.479254i	0.970562	+	0.240852i	$0.0774268\pi$
$200$	4.07208	−	13.5432i	0.287939	−	0.957649i
$201$	−27.1796	+	15.6921i	−1.91710	+	1.10684i
$202$	−0.209182	+	5.70750i	−0.0147180	+	0.401578i
$203$	−8.78973	+	0.557597i	−0.616918	+	0.0391356i
$204$	−0.163936	+	2.23348i	−0.0114778	+	0.156375i
$205$	−13.6630	−	1.24796i	−0.954265	−	0.0871616i
$206$	−6.11691	+	1.40108i	−0.426185	+	0.0976175i
$207$	−8.53603	−	31.8569i	−0.593295	−	2.21421i
$208$	1.12003	−	2.58876i	0.0776604	−	0.179498i
$209$	−8.37877			−0.579572
$210$	−17.3263	−	19.7138i	−1.19563	−	1.36038i
$211$		−	11.7064i		−	0.805901i	−0.915222	−	0.402951i	$-0.867985\pi$
$211$		−	11.7064i		−	0.805901i	0.915222	−	0.402951i	$-0.132015\pi$
$212$	−1.66520	−	0.579815i	−0.114366	−	0.0398219i
$213$	−3.90747	+	1.04700i	−0.267735	+	0.0717395i
$214$	3.20771	+	14.0044i	0.219274	+	0.957323i
$215$	13.5685	+	16.2963i	0.925365	+	1.11140i
$216$	21.3068	+	26.5923i	1.44975	+	1.80938i
$217$	−13.9439	−	6.91277i	−0.946574	−	0.469270i
$218$	−0.301654	+	8.23059i	−0.0204306	+	0.557446i
$219$	1.68997	+	2.92712i	0.114198	+	0.197796i
$220$	−3.33445	−	8.87905i	−0.224808	−	0.598626i
$221$	−0.217988	−	0.125855i	−0.0146635	−	0.00846596i
$222$	−17.9376	−	33.8768i	−1.20390	−	2.27366i
$223$	8.52076	−	8.52076i	0.570592	−	0.570592i	−0.361702	−	0.932294i	$-0.617804\pi$
$223$	8.52076	−	8.52076i	0.570592	−	0.570592i	0.932294	+	0.361702i	$0.117804\pi$
$224$	−11.9741	−	8.97896i	−0.800051	−	0.599932i
$225$	−32.2282	+	11.4521i	−2.14855	+	0.763471i
$226$	14.8777	+	4.57667i	0.989648	+	0.304436i
$227$	−0.836370	−	3.12137i	−0.0555118	−	0.207173i	0.932600	−	0.360913i	$-0.117535\pi$
$227$	−0.836370	−	3.12137i	−0.0555118	−	0.207173i	−0.988111	+	0.153740i	$0.950868\pi$
$228$	4.64544	+	24.3475i	0.307652	+	1.61245i
$229$	9.62765	−	5.55852i	0.636213	−	0.367318i	−0.146941	−	0.989145i	$-0.546943\pi$
$229$	9.62765	−	5.55852i	0.636213	−	0.367318i	0.783154	+	0.621828i	$0.213610\pi$
$230$	15.1097	−	2.03813i	0.996306	−	0.134390i
$231$	−17.2564	−	3.47015i	−1.13539	−	0.228319i
$232$	−1.03270	+	9.35870i	−0.0678000	+	0.614429i
$233$	3.12742	−	11.6717i	0.204884	−	0.764638i	−0.784601	−	0.620001i	$-0.787132\pi$
$233$	3.12742	−	11.6717i	0.204884	−	0.764638i	0.989485	−	0.144637i	$-0.0462013\pi$
$234$	−6.64952	+	1.52307i	−0.434693	+	0.0995662i
$235$	20.3494	+	7.49473i	1.32745	+	0.488902i
$236$	26.9639	−	13.0361i	1.75520	−	0.848576i
$237$	−29.3366	+	29.3366i	−1.90561	+	1.90561i
$238$	−0.918841	+	0.969301i	−0.0595596	+	0.0628305i
$239$			7.63923i			0.494141i	0.968998	+	0.247070i	$0.0794679\pi$
$239$			7.63923i			0.494141i	−0.968998	+	0.247070i	$0.920532\pi$
$240$	−23.9525	+	14.6122i	−1.54613	+	0.943215i
$241$	4.62172	+	2.66835i	0.297711	+	0.171884i	0.641414	−	0.767195i	$-0.278348\pi$
$241$	4.62172	+	2.66835i	0.297711	+	0.171884i	−0.343703	+	0.939078i	$0.611681\pi$
$242$	7.78979	+	4.88633i	0.500747	+	0.314105i
$243$	4.66796	−	17.4211i	0.299450	−	1.11756i
$244$	−1.77869	−	0.130554i	−0.113869	−	0.00835789i
$245$	−0.557399	−	15.6425i	−0.0356109	−	0.999366i
$246$	18.5296	+	19.9395i	1.18140	+	1.27130i
$247$	−2.69101	−	0.721054i	−0.171225	−	0.0458796i
$248$	−9.84917	+	13.4095i	−0.625423	+	0.851506i
$249$	20.4966	+	11.8337i	1.29892	+	0.749932i
$250$	−3.35333	−	15.4517i	−0.212083	−	0.977252i
$251$	−12.9627			−0.818195			−0.409098	−	0.912491i	$-0.634156\pi$
$251$	−12.9627			−0.818195			−0.409098	+	0.912491i	$0.634156\pi$
$252$	−0.358900	+	36.1947i	−0.0226086	+	2.28005i
$253$	7.23032	−	7.23032i	0.454566	−	0.454566i
$254$	−2.16253	+	7.02988i	−0.135689	+	0.441094i
$255$	1.04949	+	2.27326i	0.0657214	+	0.142357i
$256$	−11.6619	+	10.9544i	−0.728870	+	0.684652i
$257$	0.368634	−	1.37576i	0.0229947	−	0.0858175i	−0.953475	−	0.301472i	$-0.902522\pi$
$257$	0.368634	−	1.37576i	0.0229947	−	0.0858175i	0.976470	+	0.215655i	$0.0691886\pi$
$258$	1.54090	−	42.0433i	0.0959323	−	2.61750i
$259$	4.50698	−	22.4123i	0.280050	−	1.39263i
$260$	−0.306817	−	3.13864i	−0.0190280	−	0.194650i
$261$	19.7205	−	11.3856i	1.22067	−	0.704752i
$262$	−4.49578	−	2.82008i	−0.277750	−	0.174225i
$263$	10.6195	−	2.84548i	0.654826	−	0.175460i	0.0839161	−	0.996473i	$-0.473257\pi$
$263$	10.6195	−	2.84548i	0.654826	−	0.175460i	0.570910	+	0.821013i	$0.306591\pi$
$264$	−6.83441	+	17.5321i	−0.420629	+	1.07903i
$265$	−1.94272	+	0.334908i	−0.119340	+	0.0205732i
$266$	−7.04654	+	12.9948i	−0.432051	+	0.796762i
$267$	−24.4501	−	24.4501i	−1.49632	−	1.49632i
$268$	−6.57974	+	18.8966i	−0.401921	+	1.15429i
$269$	8.53247	+	4.92622i	0.520234	+	0.300357i	0.737030	−	0.675860i	$-0.236227\pi$
$269$	8.53247	+	4.92622i	0.520234	+	0.300357i	−0.216796	+	0.976217i	$0.569561\pi$
$270$	35.2436	+	14.4673i	2.14486	+	0.880450i
$271$	−7.59010	+	4.38215i	−0.461066	+	0.266196i	−0.712492	−	0.701680i	$-0.752434\pi$
$271$	−7.59010	+	4.38215i	−0.461066	+	0.266196i	0.251426	+	0.967876i	$0.419100\pi$
$272$	0.851379	+	1.14621i	0.0516224	+	0.0694992i
$273$	−5.24360	−	2.59954i	−0.317357	−	0.157332i
$274$	−3.70681	−	3.98886i	−0.223937	−	0.240976i
$275$	−8.07084	−	6.87799i	−0.486690	−	0.414758i
$276$	−25.0189	−	17.0015i	−1.50596	−	1.02337i
$277$	18.2194	−	4.88188i	1.09470	−	0.293324i	0.334094	−	0.942540i	$-0.391570\pi$
$277$	18.2194	−	4.88188i	1.09470	−	0.293324i	0.760604	+	0.649216i	$0.224903\pi$
$278$	−5.56302	−	10.5063i	−0.333647	−	0.630123i
$279$	40.2386			2.40902
$280$	−16.5750	−	2.29582i	−0.990543	−	0.137202i
$281$	−7.03515			−0.419682			−0.209841	−	0.977736i	$-0.567295\pi$
$281$	−7.03515			−0.419682			−0.209841	+	0.977736i	$0.567295\pi$
$282$	−20.1329	−	38.0228i	−1.19890	−	2.26423i
$283$	26.3275	−	7.05443i	1.56501	−	0.419342i	0.630762	−	0.775977i	$-0.282743\pi$
$283$	26.3275	−	7.05443i	1.56501	−	0.419342i	0.934244	+	0.356634i	$0.116076\pi$
$284$	−1.44961	+	2.13320i	−0.0860185	+	0.126582i
$285$	17.7319	+	21.2968i	1.05035	+	1.26151i
$286$	−1.43974	−	1.54929i	−0.0851337	−	0.0916114i
$287$	1.02775	+	16.2010i	0.0606660	+	0.956315i
$288$	38.0484	+	7.04831i	2.24202	+	0.415325i
$289$	−14.6121	+	8.43629i	−0.859535	+	0.496252i
$290$	4.05936	+	9.71269i	0.238374	+	0.570349i
$291$	−21.2814	−	12.2868i	−1.24754	−	0.720267i
$292$	2.03508	+	0.708608i	0.119094	+	0.0414681i
$293$	−4.10271	−	4.10271i	−0.239683	−	0.239683i	0.577036	−	0.816719i	$-0.304209\pi$
$293$	−4.10271	−	4.10271i	−0.239683	−	0.239683i	−0.816719	+	0.577036i	$0.804209\pi$
$294$	−19.8945	+	23.8448i	−1.16027	+	1.39066i
$295$	19.3108	−	27.3557i	1.12432	−	1.59271i
$296$	−22.7705	−	8.87643i	−1.32351	−	0.515932i
$297$	24.6797	−	6.61290i	1.43206	−	0.383720i
$298$	4.90388	+	3.07608i	0.284074	+	0.178192i
$299$	2.94438	−	1.69994i	0.170278	−	0.0983100i
$300$	−15.5117	+	27.2660i	−0.895569	+	1.57420i
$301$	16.5830	−	18.8295i	0.955829	−	1.08531i
$302$	−0.842104	+	22.9767i	−0.0484576	+	1.32216i
$303$	3.27889	−	12.2370i	0.188367	−	0.702997i
$304$	12.3854	+	9.81512i	0.710353	+	0.562935i
$305$	−1.81037	+	0.835785i	−0.103661	+	0.0478569i
$306$	1.01530	−	3.30050i	0.0580409	−	0.188677i
$307$	−8.88129	+	8.88129i	−0.506882	+	0.506882i	−0.913568	−	0.406686i	$-0.866684\pi$
$307$	−8.88129	+	8.88129i	−0.506882	+	0.506882i	0.406686	+	0.913568i	$0.366684\pi$
$308$	−9.77390	+	5.51448i	−0.556920	+	0.314216i
$309$	13.9197			0.791863
$310$	−2.36937	+	18.4503i	−0.134571	+	1.04791i
$311$	−5.01160	−	2.89345i	−0.284182	−	0.164073i	0.351133	−	0.936326i	$-0.385796\pi$
$311$	−5.01160	−	2.89345i	−0.284182	−	0.164073i	−0.635315	+	0.772253i	$0.719130\pi$
$312$	−3.70377	+	5.04265i	−0.209685	+	0.285484i
$313$	29.6946	+	7.95665i	1.67844	+	0.449737i	0.967366	−	0.253381i	$-0.0815428\pi$
$313$	29.6946	+	7.95665i	1.67844	+	0.449737i	0.711073	+	0.703118i	$0.248209\pi$
$314$	−7.59816	−	8.17630i	−0.428789	−	0.461415i
$315$	19.2548	+	35.5947i	1.08489	+	2.00554i
$316$	−1.93629	+	26.3803i	−0.108925	+	1.48401i
$317$	6.77545	−	25.2863i	0.380547	−	1.42022i	−0.464521	−	0.885562i	$-0.653773\pi$
$317$	6.77545	−	25.2863i	0.380547	−	1.42022i	0.845068	−	0.534659i	$-0.179560\pi$
$318$	3.31329	+	2.07834i	0.185800	+	0.116547i
$319$	6.11406	+	3.52995i	0.342322	+	0.197640i
$320$	−5.47221	+	17.0310i	−0.305906	+	0.952062i
$321$		−	31.8686i		−	1.77873i
$322$	−5.13294	−	17.2943i	−0.286048	−	0.963775i
$323$	0.997185	−	0.997185i	0.0554848	−	0.0554848i
$324$	−15.0348	−	31.0981i	−0.835265	−	1.72767i
$325$	−2.00021	−	2.90356i	−0.110952	−	0.161060i
$326$	2.64030	−	0.604758i	0.146232	−	0.0334945i
$327$	4.72838	−	17.6466i	0.261480	−	0.975856i
$328$	17.2497	+	1.90344i	0.952456	+	0.105100i
$329$	5.05857	−	25.1553i	0.278888	−	1.38685i
$330$	2.81234	+	20.8494i	0.154814	+	1.14772i
$331$	−17.6873	+	10.2117i	−0.972180	+	0.561288i	−0.899900	−	0.436096i	$-0.856361\pi$
$331$	−17.6873	+	10.2117i	−0.972180	+	0.561288i	−0.0722799	+	0.997384i	$0.523027\pi$
$332$	14.8221	−	2.82801i	0.813467	−	0.155207i
$333$	15.2978	+	57.0923i	0.838317	+	3.12864i
$334$	19.4796	+	5.99234i	1.06588	+	0.327886i
$335$	3.80053	+	22.0460i	0.207645	+	1.20450i
$336$	21.4432	+	25.3441i	1.16982	+	1.38264i
$337$	6.47193	−	6.47193i	0.352549	−	0.352549i	−0.508508	−	0.861057i	$-0.669803\pi$
$337$	6.47193	−	6.47193i	0.352549	−	0.352549i	0.861057	+	0.508508i	$0.169803\pi$
$338$	8.27400	+	15.6262i	0.450046	+	0.849953i
$339$	−29.9015	−	17.2636i	−1.62403	−	0.937631i
$340$	1.45357	+	0.659882i	0.0788308	+	0.0357871i
$341$	6.23771	+	10.8040i	0.337791	+	0.585071i
$342$	1.39981	−	38.1936i	0.0756930	−	2.06528i
$343$	−18.1868	+	3.49875i	−0.981993	+	0.188915i
$344$	−16.7721	−	20.9327i	−0.904291	−	1.12862i
$345$	−33.6792	−	3.07622i	−1.81323	−	0.165618i
$346$	−2.13144	−	9.30559i	−0.114587	−	0.500271i
$347$	25.8970	−	6.93908i	1.39022	−	0.372509i	0.515399	−	0.856950i	$-0.327644\pi$
$347$	25.8970	−	6.93908i	1.39022	−	0.372509i	0.874824	+	0.484441i	$0.160977\pi$
$348$	6.86771	−	19.7237i	0.368148	−	1.05730i
$349$			3.39243i			0.181592i	0.995869	+	0.0907962i	$0.0289412\pi$
$349$			3.39243i			0.181592i	−0.995869	+	0.0907962i	$0.971059\pi$
$350$	−17.4548	+	6.73283i	−0.932997	+	0.359885i
$351$	8.49547			0.453454
$352$	4.00572	+	11.3086i	0.213506	+	0.602749i
$353$	−5.61643	−	20.9608i	−0.298932	−	1.11563i	−0.938044	−	0.346516i	$-0.887364\pi$
$353$	−5.61643	−	20.9608i	−0.298932	−	1.11563i	0.639112	−	0.769114i	$-0.279302\pi$
$354$	−64.7567	+	14.8325i	−3.44178	+	0.788337i
$355$	−0.262289	+	2.87160i	−0.0139209	+	0.152409i
$356$	−21.9862	−	1.61377i	−1.16527	−	0.0855298i
$357$	2.46673	−	1.64074i	0.130553	−	0.0868374i
$358$	0.997146	−	27.2070i	0.0527008	−	1.43794i
$359$	−8.44509	+	4.87577i	−0.445715	+	0.257334i	−0.706019	−	0.708193i	$-0.749511\pi$
$359$	−8.44509	+	4.87577i	−0.445715	+	0.257334i	0.260304	+	0.965527i	$0.416177\pi$
$360$	41.0312	−	13.7163i	2.16253	−	0.722912i
$361$	−1.69577	+	2.93717i	−0.0892513	+	0.154588i
$362$	−2.52914	+	1.33917i	−0.132928	+	0.0703851i
$363$	−14.4229	−	14.4229i	−0.757007	−	0.757007i
$364$	−3.61364	+	0.929970i	−0.189406	+	0.0487437i
$365$	2.37425	−	0.409300i	0.124274	−	0.0214237i
$366$	3.78117	+	1.16317i	0.197645	+	0.0607996i
$367$	−29.0740	+	7.79036i	−1.51765	+	0.406653i	−0.918968	−	0.394333i	$-0.870976\pi$
$367$	−29.0740	+	7.79036i	−1.51765	+	0.406653i	−0.598683	+	0.800986i	$0.704309\pi$
$368$	−19.1576	+	2.21800i	−0.998658	+	0.115621i
$369$	−20.9857	−	36.3482i	−1.09247	−	1.89221i
$370$	−27.0789	+	3.65263i	−1.40776	+	0.189891i
$371$	0.745144	+	2.21034i	0.0386859	+	0.114755i
$372$	27.9366	−	24.1160i	1.44844	−	1.25035i
$373$	−19.0052	−	5.09242i	−0.984051	−	0.263676i	−0.269301	−	0.963056i	$-0.586793\pi$
$373$	−19.0052	−	5.09242i	−0.984051	−	0.263676i	−0.714750	+	0.699380i	$0.753459\pi$
$374$	1.04357	−	0.239030i	0.0539618	−	0.0123599i
$375$	−0.401900	+	35.0699i	−0.0207540	+	1.81100i
$376$	−25.5573	−	9.96277i	−1.31802	−	0.513791i
$377$	1.65987	+	1.65987i	0.0854879	+	0.0854879i
$378$	10.4995	−	43.8377i	0.540037	−	2.25477i
$379$	−23.2044			−1.19193			−0.595965	−	0.803010i	$-0.703230\pi$
$379$	−23.2044			−1.19193			−0.595965	+	0.803010i	$0.703230\pi$
$380$	17.4302	+	2.89080i	0.894151	+	0.148295i
$381$	8.15727	−	14.1288i	0.417910	−	0.723841i
$382$	−3.56029	−	2.23327i	−0.182160	−	0.114264i
$383$	−11.6773	−	3.12892i	−0.596681	−	0.159880i	−0.0521760	−	0.998638i	$-0.516616\pi$
$383$	−11.6773	−	3.12892i	−0.596681	−	0.159880i	−0.544505	+	0.838758i	$0.683282\pi$
$384$	30.6402	−	17.9099i	1.56360	−	0.913958i
$385$	−6.57232	+	10.6877i	−0.334957	+	0.544698i
$386$	3.58831	−	3.33458i	0.182640	−	0.169726i
$387$	−16.7899	+	62.6608i	−0.853479	+	3.18523i
$388$	−15.3896	+	2.93629i	−0.781288	+	0.149068i
$389$	−2.96830	+	5.14124i	−0.150499	+	0.260671i	−0.931411	−	0.363969i	$-0.881421\pi$
$389$	−2.96830	+	5.14124i	−0.150499	+	0.260671i	0.780912	+	0.624641i	$0.214755\pi$
$390$	−0.891001	+	6.93822i	−0.0451176	+	0.351330i
$391$			1.72101i			0.0870351i
$392$	0.332666	+	19.7962i	0.0168022	+	0.999859i
$393$	8.32401	+	8.32401i	0.419891	+	0.419891i
$394$	26.4916	+	8.14937i	1.33463	+	0.410559i
$395$	12.3958	+	26.8501i	0.623699	+	1.35098i
$396$	16.3078	−	23.9981i	0.819498	−	1.20595i
$397$	0.356077	+	0.0954106i	0.0178710	+	0.00478852i	0.267743	−	0.963490i	$-0.413722\pi$
$397$	0.356077	+	0.0954106i	0.0178710	+	0.00478852i	−0.249872	+	0.968279i	$0.580389\pi$
$398$	−0.404355	+	11.0328i	−0.0202685	+	0.553023i
$399$	21.6714	−	24.6072i	1.08493	−	1.23190i
$400$	3.87318	+	19.6214i	0.193659	+	0.981069i
$401$	8.74833	+	15.1526i	0.436871	+	0.756683i	0.997446	−	0.0714208i	$-0.0227533\pi$
$401$	8.74833	+	15.1526i	0.436871	+	0.756683i	−0.560575	+	0.828103i	$0.689420\pi$
$402$	23.5849	−	37.5991i	1.17631	−	1.87527i
$403$	1.07360	+	4.00673i	0.0534799	+	0.199590i
$404$	−3.51564	−	7.27178i	−0.174910	−	0.361785i
$405$	−31.5499	−	22.2716i	−1.56773	−	1.10668i
$406$	10.6166	−	6.51372i	0.526893	−	0.323271i
$407$	−12.9578	+	12.9578i	−0.642295	+	0.642295i
$408$	−1.27317	−	2.89994i	−0.0630314	−	0.143569i
$409$	−7.42067	+	12.8530i	−0.366928	+	0.635538i	−0.989084	−	0.147355i	$-0.952924\pi$
$409$	−7.42067	+	12.8530i	−0.366928	+	0.635538i	0.622155	+	0.782894i	$0.286257\pi$
$410$	17.9022	−	7.48210i	0.884126	−	0.369515i
$411$	6.03930	+	10.4604i	0.297897	+	0.515972i
$412$	6.71785	−	5.79911i	0.330965	−	0.285702i
$413$	−35.4972	−	17.5979i	−1.74670	−	0.865938i
$414$	31.7506	+	34.1665i	1.56046	+	1.67919i
$415$	12.9649	−	10.7947i	0.636422	−	0.529892i
$416$	0.313333	+	3.97670i	0.0153624	+	0.194974i
$417$	6.82503	+	25.4714i	0.334223	+	1.24734i
$418$	10.4720	−	5.54486i	0.512201	−	0.271208i
$419$		−	6.03936i		−	0.295042i	−0.989059	−	0.147521i	$-0.952871\pi$
$419$		−	6.03936i		−	0.295042i	0.989059	−	0.147521i	$-0.0471294\pi$
$420$	34.7009	+	13.1726i	1.69323	+	0.642757i
$421$			23.0627i			1.12401i	0.827135	+	0.562003i	$0.189969\pi$
$421$			23.0627i			1.12401i	−0.827135	+	0.562003i	$0.810031\pi$
$422$	7.74700	+	14.6309i	0.377118	+	0.712221i
$423$	17.1701	+	64.0796i	0.834837	+	3.11565i
$424$	2.46490	−	0.377319i	0.119706	−	0.0183243i
$425$	1.77911	−	0.141965i	0.0862994	−	0.00688631i
$426$	4.19076	−	3.89443i	0.203043	−	0.188686i
$427$	1.30665	+	1.96444i	0.0632331	+	0.0950660i
$428$	−13.2768	−	15.3803i	−0.641760	−	0.743433i
$429$	2.34569	+	4.06285i	0.113251	+	0.196156i
$430$	−27.7427	−	11.3882i	−1.33787	−	0.549189i
$431$	15.8769	−	27.4996i	0.764762	−	1.32461i	−0.175610	−	0.984460i	$-0.556190\pi$
$431$	15.8769	−	27.4996i	0.764762	−	1.32461i	0.940372	−	0.340147i	$-0.110477\pi$
$432$	−44.2278	−	19.1353i	−2.12791	−	0.920649i
$433$	14.4834	−	14.4834i	0.696028	−	0.696028i	−0.267524	−	0.963551i	$-0.586205\pi$
$433$	14.4834	−	14.4834i	0.696028	−	0.696028i	0.963551	+	0.267524i	$0.0862053\pi$
$434$	22.0021	−	0.588001i	1.05613	−	0.0282250i
$435$	−3.96687	−	23.0109i	−0.190197	−	1.10329i
$436$	−5.06979	−	10.4864i	−0.242799	−	0.502207i
$437$	4.93001	+	18.3991i	0.235835	+	0.880146i
$438$	−4.04926	−	2.53999i	−0.193481	−	0.121366i
$439$	−19.5511	−	33.8635i	−0.933123	−	1.61622i	−0.777948	−	0.628329i	$-0.783739\pi$
$439$	−19.5511	−	33.8635i	−0.933123	−	1.61622i	−0.155175	−	0.987887i	$-0.549594\pi$
$440$	10.0434	+	8.89058i	0.478800	+	0.423842i
$441$	38.1105	−	28.9900i	1.81478	−	1.38048i
$442$	0.355734	+	0.0130378i	0.0169206	+	0.000620144i
$443$	−24.9671	−	6.68991i	−1.18622	−	0.317847i	−0.388830	−	0.921310i	$-0.627121\pi$
$443$	−24.9671	−	6.68991i	−1.18622	−	0.317847i	−0.797391	+	0.603462i	$0.793787\pi$
$444$	44.8377	+	30.4693i	2.12790	+	1.44601i
$445$	−22.3778	+	10.3311i	−1.06081	+	0.489740i
$446$	−5.01060	+	16.2882i	−0.237259	+	0.771271i
$447$	−9.07962	−	9.07962i	−0.429451	−	0.429451i
$448$	20.9075	+	3.29796i	0.987786	+	0.155814i
$449$			35.8952i			1.69400i	0.531594	+	0.847000i	$0.321593\pi$
$449$			35.8952i			1.69400i	−0.531594	+	0.847000i	$0.678407\pi$
$450$	32.7009	−	35.6409i	1.54153	−	1.68013i
$451$	6.50632	−	11.2693i	0.306371	−	0.530649i
$452$	−21.6232	+	4.12564i	−1.01707	+	0.194054i
$453$	13.1999	−	49.2625i	0.620183	−	2.31455i
$454$	3.11096	+	3.34767i	0.146005	+	0.157114i
$455$	−3.03059	+	2.86699i	−0.142076	+	0.134406i
$456$	−21.9185	−	27.3558i	−1.02643	−	1.28105i
$457$	−24.7643	−	6.63556i	−1.15842	−	0.310398i	−0.372087	−	0.928198i	$-0.621358\pi$
$457$	−24.7643	−	6.63556i	−1.15842	−	0.310398i	−0.786336	+	0.617799i	$0.788024\pi$
$458$	−8.35434	+	13.3185i	−0.390373	+	0.622333i
$459$	−2.15019	+	3.72423i	−0.100362	+	0.173832i
$460$	−17.5357	+	12.5465i	−0.817605	+	0.584985i
$461$	30.8325			1.43601			0.718007	−	0.696036i	$-0.245055\pi$
$461$	30.8325			1.43601			0.718007	+	0.696036i	$0.245055\pi$
$462$	23.8638	−	7.08277i	1.11025	−	0.329520i
$463$	−1.10527	−	1.10527i	−0.0513664	−	0.0513664i	0.680957	−	0.732323i	$-0.261564\pi$
$463$	−1.10527	−	1.10527i	−0.0513664	−	0.0513664i	−0.732323	+	0.680957i	$0.761564\pi$
$464$	−4.90267	−	12.3801i	−0.227601	−	0.574733i
$465$	14.2604	−	38.7193i	0.661309	−	1.79556i
$466$	3.81532	+	16.6572i	0.176741	+	0.771629i
$467$	33.6933	+	9.02809i	1.55914	+	0.417770i	0.932391	−	0.361451i	$-0.117719\pi$
$467$	33.6933	+	9.02809i	1.55914	+	0.417770i	0.626749	+	0.779221i	$0.284385\pi$
$468$	7.30279	−	6.30405i	0.337571	−	0.291405i
$469$	25.0830	−	8.45588i	1.15822	−	0.390456i
$470$	−30.3929	+	4.09966i	−1.40192	+	0.189103i
$471$	12.3792	+	21.4415i	0.570406	+	0.987972i
$472$	−25.0732	+	34.1368i	−1.15409	+	1.57127i
$473$	−19.4271	+	5.20549i	−0.893261	+	0.239349i
$474$	17.2513	−	56.0797i	0.792377	−	2.57583i
$475$	18.6135	−	6.61418i	0.854048	−	0.303479i
$476$	0.506928	−	1.81952i	0.0232350	−	0.0833975i
$477$	−4.26439	−	4.26439i	−0.195253	−	0.195253i
$478$	−5.05545	−	9.54767i	−0.231231	−	0.436700i
$479$	−0.193808	+	0.335685i	−0.00885531	+	0.0153378i	−0.870419	−	0.492311i	$-0.836152\pi$
$479$	−0.193808	+	0.335685i	−0.00885531	+	0.0153378i	0.861564	+	0.507649i	$0.169485\pi$
$480$	20.2664	−	34.1138i	0.925028	−	1.55708i
$481$	−5.27677	+	3.04655i	−0.240600	+	0.138911i
$482$	−7.54217	−	0.276423i	−0.343537	−	0.0125907i
$483$	2.53339	+	39.9353i	0.115273	+	1.81712i
$484$	−12.9695	−	0.951952i	−0.589523	−	0.0432705i
$485$	−13.4613	+	11.2080i	−0.611246	+	0.508930i
$486$	5.69471	+	24.8624i	0.258318	+	1.12778i
$487$	−3.14526	−	11.7383i	−0.142525	−	0.531912i	−0.999853	−	0.0171412i	$-0.994544\pi$
$487$	−3.14526	−	11.7383i	−0.142525	−	0.531912i	0.857328	−	0.514771i	$-0.172123\pi$
$488$	2.30944	−	1.01392i	0.104543	−	0.0458981i
$489$	−6.00827			−0.271703
$490$	11.0485	+	19.1815i	0.499120	+	0.866533i
$491$		−	7.30468i		−	0.329655i	−0.986322	−	0.164828i	$-0.947293\pi$
$491$		−	7.30468i		−	0.329655i	0.986322	−	0.164828i	$-0.0527068\pi$
$492$	−36.3542	−	12.6584i	−1.63897	−	0.570684i
$493$	−1.14777	+	0.307543i	−0.0516928	+	0.0138510i
$494$	3.84046	−	0.879655i	0.172790	−	0.0395775i
$495$	2.95070	−	32.3049i	0.132624	−	1.45200i
$496$	3.43560	−	23.2775i	0.154263	−	1.04519i
$497$	3.40502	−	0.216005i	0.152736	−	0.00968917i
$498$	−33.4484	−	1.22589i	−1.49886	−	0.0549337i
$499$	−5.08423	−	8.80615i	−0.227602	−	0.394217i	0.729495	−	0.683986i	$-0.239755\pi$
$499$	−5.08423	−	8.80615i	−0.227602	−	0.394217i	−0.957097	+	0.289768i	$0.906422\pi$
$500$	14.4166	+	17.0927i	0.644731	+	0.764410i
$501$	−39.1506	−	22.6036i	−1.74912	−	1.00986i
$502$	16.2010	−	8.57836i	0.723086	−	0.382871i
$503$	−24.4853	+	24.4853i	−1.09175	+	1.09175i	−0.0964057	+	0.995342i	$0.530735\pi$
$503$	−24.4853	+	24.4853i	−1.09175	+	1.09175i	−0.995342	+	0.0964057i	$0.969265\pi$
$504$	−23.5042	−	45.4744i	−1.04696	−	2.02559i
$505$	−7.37744	−	5.20785i	−0.328292	−	0.231746i
$506$	−4.25176	+	13.8214i	−0.189014	+	0.614438i
$507$	−10.1510	−	37.8841i	−0.450823	−	1.68249i
$508$	−1.94942	−	10.2172i	−0.0864914	−	0.453315i
$509$	−32.9048	+	18.9976i	−1.45848	+	0.842054i	−0.998937	−	0.0461008i	$-0.985320\pi$
$509$	−32.9048	+	18.9976i	−1.45848	+	0.842054i	−0.459544	+	0.888155i	$0.651987\pi$
$510$	−2.81606	−	2.14665i	−0.124697	−	0.0950552i
$511$	−0.910660	−	2.70132i	−0.0402852	−	0.119499i
$512$	7.32595	−	21.4087i	0.323764	−	0.946138i
$513$	−12.3189	+	45.9747i	−0.543893	+	2.02983i
$514$	0.449717	+	1.96341i	0.0198362	+	0.0866021i
$515$	3.42916	−	9.31074i	0.151107	−	0.410280i
$516$	25.8974	+	53.5663i	1.14007	+	2.35813i
$517$	−14.5437	+	14.5437i	−0.639629	+	0.639629i
$518$	9.19901	+	30.9940i	0.404181	+	1.36180i
$519$			21.1758i			0.929517i
$520$	2.46054	+	3.71969i	0.107902	+	0.163119i
$521$	37.7131	+	21.7736i	1.65224	+	0.953921i	0.976149	+	0.217102i	$0.0696603\pi$
$521$	37.7131	+	21.7736i	1.65224	+	0.953921i	0.676090	+	0.736819i	$0.263673\pi$
$522$	−17.1123	+	27.2805i	−0.748987	+	1.19403i
$523$	2.72175	−	10.1577i	0.119014	−	0.444166i	−0.880542	−	0.473968i	$-0.842821\pi$
$523$	2.72175	−	10.1577i	0.119014	−	0.444166i	0.999556	+	0.0298025i	$0.00948784\pi$
$524$	7.48518	+	0.549407i	0.326992	+	0.0240010i
$525$	41.0746	−	5.91316i	1.79264	−	0.258071i
$526$	−11.3894	+	10.5841i	−0.496601	+	0.461487i
$527$	−2.02819	−	0.543453i	−0.0883495	−	0.0236732i
$528$	−3.06055	−	26.4349i	−0.133193	−	1.15043i
$529$	−0.212845	−	0.122886i	−0.00925413	−	0.00534287i
$530$	2.20642	−	1.70422i	0.0958408	−	0.0740265i
$531$	102.436			4.44534
$532$	0.207284	−	20.9044i	0.00898691	−	0.906320i
$533$	3.05944	−	3.05944i	0.132519	−	0.132519i
$534$	46.7388	+	14.3778i	2.02259	+	0.622189i
$535$	−21.3166	−	7.85094i	−0.921596	−	0.339426i
$536$	−4.28182	−	27.9717i	−0.184946	−	1.20819i
$537$	−15.6301	+	58.3324i	−0.674489	+	2.51723i
$538$	−13.9241	−	0.510323i	−0.600311	−	0.0220016i
$539$	13.6916	+	5.73866i	0.589739	+	0.247182i
$540$	−53.6223	+	5.24184i	−2.30754	+	0.225573i
$541$	14.7785	−	8.53237i	0.635378	−	0.366835i	−0.147454	−	0.989069i	$-0.547108\pi$
$541$	14.7785	−	8.53237i	0.635378	−	0.366835i	0.782832	+	0.622233i	$0.213775\pi$
$542$	6.58628	−	10.4998i	0.282905	−	0.451007i
$543$	6.13164	−	1.64297i	0.263134	−	0.0705065i
$544$	−1.82260	−	0.869137i	−0.0781435	−	0.0372639i
$545$	−10.6388	−	7.51006i	−0.455714	−	0.321696i
$546$	8.27388	−	0.221118i	0.354089	−	0.00946296i
$547$	13.8163	+	13.8163i	0.590741	+	0.590741i	0.937832	−	0.347091i	$-0.112830\pi$
$547$	13.8163	+	13.8163i	0.590741	+	0.590741i	−0.347091	+	0.937832i	$0.612830\pi$
$548$	7.27258	+	2.53229i	0.310669	+	0.108174i
$549$	−5.28268	−	3.04996i	−0.225459	−	0.130169i
$550$	14.6388	+	3.25518i	0.624200	+	0.138801i
$551$	−11.3896	+	6.57580i	−0.485214	+	0.280139i
$552$	42.5204	+	4.69197i	1.80979	+	0.199704i
$553$	29.1352	−	19.3793i	1.23896	−	0.824090i
$554$	−19.5403	+	18.1586i	−0.830188	+	0.771486i
$555$	60.3581	+	5.51305i	2.56206	+	0.234016i
$556$	13.9056	+	9.44947i	0.589727	+	0.400747i
$557$	3.31013	−	0.886946i	0.140255	−	0.0375811i	−0.188009	−	0.982167i	$-0.560203\pi$
$557$	3.31013	−	0.886946i	0.140255	−	0.0375811i	0.328263	+	0.944586i	$0.393537\pi$
$558$	−50.2910	+	26.6289i	−2.12899	+	1.12729i
$559$	−6.68738			−0.282846
$560$	22.2351	−	8.09953i	0.939603	−	0.342268i
$561$	−2.37476			−0.100262
$562$	8.79268	−	4.65569i	0.370897	−	0.196388i
$563$	16.2591	−	4.35661i	0.685239	−	0.183609i	0.100630	−	0.994924i	$-0.467914\pi$
$563$	16.2591	−	4.35661i	0.685239	−	0.183609i	0.584610	+	0.811315i	$0.301248\pi$
$564$	50.3251	+	34.1983i	2.11907	+	1.44001i
$565$	−18.9138	+	15.7479i	−0.795710	+	0.662517i
$566$	−28.2362	+	26.2396i	−1.18686	+	1.10293i
$567$	−20.2961	+	40.9396i	−0.852355	+	1.71930i
$568$	0.400054	−	3.62544i	0.0167859	−	0.152120i
$569$	−2.87700	+	1.66104i	−0.120610	+	0.0696343i	−0.559091	−	0.829106i	$-0.688850\pi$
$569$	−2.87700	+	1.66104i	−0.120610	+	0.0696343i	0.438481	+	0.898740i	$0.355517\pi$
$570$	−36.2554	−	14.8826i	−1.51857	−	0.623364i
$571$	−11.0319	−	6.36927i	−0.461671	−	0.266546i	0.251076	−	0.967967i	$-0.419216\pi$
$571$	−11.0319	−	6.36927i	−0.461671	−	0.266546i	−0.712747	+	0.701422i	$0.752549\pi$
$572$	2.82470	+	0.983551i	0.118107	+	0.0411243i
$573$	6.59193	+	6.59193i	0.275382	+	0.275382i
$574$	−12.0059	−	19.5682i	−0.501118	−	0.816762i
$575$	−10.3546	+	21.7698i	−0.431819	+	0.907865i
$576$	−52.2180	+	16.3703i	−2.17575	+	0.682097i
$577$	−22.7511	+	6.09614i	−0.947141	+	0.253786i	−0.699149	−	0.714976i	$-0.746437\pi$
$577$	−22.7511	+	6.09614i	−0.947141	+	0.253786i	−0.247992	+	0.968762i	$0.579771\pi$
$578$	12.6796	−	20.2138i	0.527401	−	0.840782i
$579$	−9.40996	+	5.43284i	−0.391065	+	0.225781i
$580$	−11.5011	−	9.45275i	−0.477557	−	0.392504i
$581$	−14.9802	−	13.1930i	−0.621483	−	0.547336i
$582$	34.7291	+	1.27283i	1.43957	+	0.0527606i
$583$	0.483928	−	1.80605i	0.0200423	−	0.0747988i
$584$	−3.01243	+	0.461132i	−0.124655	+	0.0190818i
$585$	3.72775	−	10.1214i	0.154123	−	0.418470i
$586$	7.84272	+	2.41258i	0.323980	+	0.0996628i
$587$	3.74477	−	3.74477i	0.154563	−	0.154563i	−0.625589	−	0.780153i	$-0.715141\pi$
$587$	3.74477	−	3.74477i	0.154563	−	0.154563i	0.780153	+	0.625589i	$0.215141\pi$
$588$	9.08467	−	42.9675i	0.374645	−	1.77195i
$589$	−23.2399			−0.957585
$590$	−6.03174	+	46.9691i	−0.248323	+	1.93369i
$591$	−53.2435	−	30.7401i	−2.19014	−	1.26448i
$592$	34.3333	−	3.97500i	1.41109	−	0.163371i
$593$	9.21113	+	2.46812i	0.378256	+	0.101353i	0.442937	−	0.896553i	$-0.353936\pi$
$593$	9.21113	+	2.46812i	0.378256	+	0.101353i	−0.0646814	+	0.997906i	$0.520603\pi$
$594$	−26.4690	+	24.5974i	−1.08603	+	1.00924i
$595$	−0.489789	−	2.05418i	−0.0200794	−	0.0842130i
$596$	−8.16465	−	0.599279i	−0.334437	−	0.0245474i
$597$	6.33820	−	23.6545i	0.259405	−	0.968114i
$598$	−2.55497	+	4.07314i	−0.104481	+	0.166563i
$599$	−27.1557	−	15.6783i	−1.10955	−	0.640600i	−0.170838	−	0.985299i	$-0.554647\pi$
$599$	−27.1557	−	15.6783i	−1.10955	−	0.640600i	−0.938713	+	0.344700i	$0.887981\pi$
$600$	1.34289	−	44.3429i	0.0548233	−	1.81029i
$601$			38.4287i			1.56754i	0.621051	+	0.783770i	$0.286706\pi$
$601$			38.4287i			1.56754i	−0.621051	+	0.783770i	$0.713294\pi$
$602$	−8.26492	+	34.5077i	−0.336853	+	1.40643i
$603$	−48.3923	+	48.3923i	−1.97069	+	1.97069i
$604$	−14.1529	−	29.2741i	−0.575875	−	1.19114i
$605$	−13.2005	+	6.09422i	−0.536677	+	0.247765i
$606$	4.00011	+	17.4639i	0.162493	+	0.709424i
$607$	−1.24358	+	4.64111i	−0.0504754	+	0.188377i	−0.986560	−	0.163397i	$-0.947755\pi$
$607$	−1.24358	+	4.64111i	−0.0504754	+	0.188377i	0.936085	+	0.351774i	$0.114421\pi$
$608$	−21.9750	−	4.07078i	−0.891203	−	0.165092i
$609$	−26.1808	+	8.82598i	−1.06090	+	0.357647i
$610$	1.70954	−	2.24264i	0.0692171	−	0.0908018i
$611$	−5.92257	+	3.41940i	−0.239602	+	0.138334i
$612$	0.915243	+	4.79693i	0.0369965	+	0.193905i
$613$	0.853505	+	3.18532i	0.0344727	+	0.128654i	0.981018	−	0.193917i	$-0.0621194\pi$
$613$	0.853505	+	3.18532i	0.0344727	+	0.128654i	−0.946545	+	0.322571i	$0.895453\pi$
$614$	5.22261	−	16.9774i	0.210767	−	0.685154i
$615$	−42.4130	+	7.31163i	−1.71026	+	0.294833i
$616$	8.56628	−	13.3602i	0.345145	−	0.538299i
$617$	24.7292	−	24.7292i	0.995559	−	0.995559i	−0.00443132	−	0.999990i	$-0.501411\pi$
$617$	24.7292	−	24.7292i	0.995559	−	0.995559i	0.999990	+	0.00443132i	$0.00141054\pi$
$618$	−17.3971	+	9.21170i	−0.699814	+	0.370549i
$619$	−0.197232	−	0.113872i	−0.00792741	−	0.00457689i	0.496031	−	0.868305i	$-0.334790\pi$
$619$	−0.197232	−	0.113872i	−0.00792741	−	0.00457689i	−0.503958	+	0.863728i	$0.668124\pi$
$620$	−9.24865	−	24.6276i	−0.371435	−	0.989067i
$621$	−29.0427	−	50.3035i	−1.16545	−	2.01861i
$622$	8.17842	+	0.299742i	0.327925	+	0.0120186i
$623$	16.1514	+	24.2823i	0.647091	+	0.972851i
$624$	1.29196	−	8.75347i	0.0517197	−	0.350419i
$625$	23.3589	+	8.90844i	0.934357	+	0.356337i
$626$	−42.3785	+	9.70677i	−1.69379	+	0.387961i
$627$	−25.3882	+	6.80276i	−1.01391	+	0.271676i
$628$	14.9072	+	5.19064i	0.594862	+	0.207129i
$629$		−	3.08430i		−	0.122979i
$630$	−47.6208	−	31.7447i	−1.89726	−	1.26474i
$631$	45.0058			1.79165			0.895826	−	0.444405i	$-0.146585\pi$
$631$	45.0058			1.79165			0.895826	+	0.444405i	$0.146585\pi$
$632$	−15.0378	−	34.2520i	−0.598171	−	1.36247i
$633$	−9.50447	−	35.4712i	−0.377769	−	1.40985i
$634$	8.26576	+	36.0872i	0.328275	+	1.43321i
$635$	−7.44105	−	8.93701i	−0.295289	−	0.354654i
$636$	−5.51641	−	0.404900i	−0.218740	−	0.0160553i
$637$	3.90348	+	3.02135i	0.154662	+	0.119710i
$638$	−9.97752	−	0.365679i	−0.395014	−	0.0144774i
$639$	−7.63944	+	4.41063i	−0.302212	+	0.174482i
$640$	−4.43140	−	24.9071i	−0.175167	−	0.984539i
$641$	16.9436	−	29.3471i	0.669231	−	1.15914i	−0.308888	−	0.951098i	$-0.599957\pi$
$641$	16.9436	−	29.3471i	0.669231	−	1.15914i	0.978119	−	0.208044i	$-0.0667097\pi$
$642$	21.0898	+	39.8300i	0.832349	+	1.57196i
$643$	9.54754	+	9.54754i	0.376518	+	0.376518i	0.869844	−	0.493326i	$-0.164219\pi$
$643$	9.54754	+	9.54754i	0.376518	+	0.376518i	−0.493326	+	0.869844i	$0.664219\pi$
$644$	17.8602	+	18.2180i	0.703791	+	0.717888i
$645$	54.3446	+	38.3627i	2.13982	+	1.51053i
$646$	−0.586391	+	1.90621i	−0.0230712	+	0.0749990i
$647$	15.2954	−	4.09840i	0.601326	−	0.161125i	0.0547015	−	0.998503i	$-0.482579\pi$
$647$	15.2954	−	4.09840i	0.601326	−	0.161125i	0.546624	+	0.837378i	$0.315913\pi$
$648$	39.3707	+	28.9174i	1.54663	+	1.13598i
$649$	15.8794	+	27.5040i	0.623322	+	1.07963i
$650$	4.42141	+	2.30524i	0.173422	+	0.0904189i
$651$	−47.8635	−	9.62505i	−1.87592	−	0.377235i
$652$	−2.89968	+	2.50312i	−0.113560	+	0.0980298i
$653$	2.62945	+	0.704559i	0.102898	+	0.0275715i	0.309901	−	0.950769i	$-0.399704\pi$
$653$	2.62945	+	0.704559i	0.102898	+	0.0275715i	−0.207002	+	0.978340i	$0.566371\pi$
$654$	5.76842	+	25.1842i	0.225563	+	0.984779i
$655$	7.61850	−	3.51720i	0.297680	−	0.137428i
$656$	−22.8187	+	9.03647i	−0.890921	+	0.352815i
$657$	5.21163	+	5.21163i	0.203325	+	0.203325i
$658$	10.3248	+	34.7872i	0.402504	+	1.35615i
$659$	20.6523			0.804500			0.402250	−	0.915530i	$-0.368228\pi$
$659$	20.6523			0.804500			0.402250	+	0.915530i	$0.368228\pi$
$660$	−17.3125	−	24.1969i	−0.673889	−	0.941862i
$661$	−4.10590	+	7.11162i	−0.159701	+	0.276610i	−0.934761	−	0.355278i	$-0.884386\pi$
$661$	−4.10590	+	7.11162i	−0.159701	+	0.276610i	0.775060	+	0.631888i	$0.217720\pi$
$662$	15.3480	−	24.4679i	0.596519	−	0.950970i
$663$	−0.762701	−	0.204365i	−0.0296209	−	0.00793689i
$664$	−16.6534	+	13.3434i	−0.646278	+	0.517824i
$665$	−11.1207	−	20.5579i	−0.431242	−	0.797200i
$666$	−56.9019	−	61.2315i	−2.20490	−	2.37267i
$667$	4.15400	−	15.5030i	0.160844	−	0.600277i
$668$	−28.3117	+	5.40179i	−1.09541	+	0.209002i
$669$	18.9004	−	32.7365i	0.730733	−	1.26567i
$670$	−19.3395	−	25.0384i	−0.747148	−	0.967319i
$671$		−	1.89120i		−	0.0730089i
$672$	−43.5723	−	17.4851i	−1.68084	−	0.674501i
$673$	6.58186	+	6.58186i	0.253712	+	0.253712i	0.822491	−	0.568779i	$-0.192584\pi$
$673$	6.58186	+	6.58186i	0.253712	+	0.253712i	−0.568779	+	0.822491i	$0.692584\pi$
$674$	−3.80580	+	12.3717i	−0.146594	+	0.476541i
$675$	−49.6060	+	34.1727i	−1.90934	+	1.31531i
$676$	−20.6821	−	14.0544i	−0.795464	−	0.540555i
$677$	−33.1569	−	8.88436i	−1.27432	−	0.341454i	−0.442637	−	0.896701i	$-0.645957\pi$
$677$	−33.1569	−	8.88436i	−1.27432	−	0.341454i	−0.831686	+	0.555247i	$0.812624\pi$
$678$	48.7961	+	1.78839i	1.87400	+	0.0686829i
$679$	15.5538	+	13.6981i	0.596898	+	0.525685i
$680$	−2.25339	+	0.137201i	−0.0864137	+	0.00526142i
$681$	−5.06851	−	8.77892i	−0.194226	−	0.336409i
$682$	−14.9459	−	9.37515i	−0.572307	−	0.358993i
$683$	2.16442	+	8.07773i	0.0828193	+	0.309086i	0.994892	−	0.100942i	$-0.0321857\pi$
$683$	2.16442	+	8.07773i	0.0828193	+	0.309086i	−0.912073	+	0.410028i	$0.865519\pi$
$684$	23.5261	+	48.6616i	0.899542	+	1.86062i
$685$	8.48465	−	1.46268i	0.324182	−	0.0558860i
$686$	20.4148	−	16.4084i	0.779442	−	0.626475i
$687$	24.6594	−	24.6594i	0.940816	−	0.940816i
$688$	34.8149	+	15.0628i	1.32730	+	0.574263i
$689$	0.310847	−	0.538402i	0.0118423	−	0.0205115i
$690$	44.1287	−	18.4433i	1.67995	−	0.702125i
$691$	−23.4621	−	40.6376i	−0.892542	−	1.54593i	−0.836818	−	0.547482i	$-0.815586\pi$
$691$	−23.4621	−	40.6376i	−0.892542	−	1.54593i	−0.0557245	−	0.998446i	$-0.517747\pi$
$692$	8.82213	+	10.2198i	0.335367	+	0.388498i
$693$	−38.3058	+	2.43002i	−1.45512	+	0.0923087i
$694$	−27.7745	+	25.8106i	−1.05431	+	0.979757i
$695$	18.7189	+	1.70977i	0.710049	+	0.0648552i
$696$	4.46922	+	29.1960i	0.169405	+	1.10667i
$697$	0.566855	+	2.11553i	0.0214712	+	0.0801315i
$698$	−2.24502	−	4.23993i	−0.0849754	−	0.160484i
$699$		−	37.9052i		−	1.43371i
$700$	17.3597	−	19.9660i	0.656136	−	0.754643i
$701$			7.18076i			0.271214i	0.990763	+	0.135607i	$0.0432984\pi$
$701$			7.18076i			0.271214i	−0.990763	+	0.135607i	$0.956702\pi$
$702$	−10.6178	+	5.62209i	−0.400744	+	0.212192i
$703$	−8.83532	−	32.9739i	−0.333231	−	1.24363i
$704$	−12.4902	−	11.4828i	−0.470741	−	0.432775i
$705$	67.7450	+	6.18777i	2.55143	+	0.233045i
$706$	20.8909	+	22.4804i	0.786238	+	0.846062i
$707$	−4.74591	+	9.57308i	−0.178488	+	0.360033i
$708$	71.1185	−	61.3923i	2.67280	−	2.30726i
$709$	−22.6451	−	39.2224i	−0.850454	−	1.47303i	−0.880799	−	0.473490i	$-0.842994\pi$
$709$	−22.6451	−	39.2224i	−0.850454	−	1.47303i	0.0303449	−	0.999539i	$-0.490339\pi$
$710$	−1.57254	−	3.76257i	−0.0590164	−	0.141207i
$711$	−45.2349	+	78.3491i	−1.69644	+	2.93832i
$712$	28.5468	−	12.5330i	1.06984	−	0.469695i
$713$	20.0545	−	20.0545i	0.751047	−	0.751047i
$714$	−1.99717	+	3.68306i	−0.0747422	+	0.137835i
$715$	3.29547	−	0.568110i	0.123244	−	0.0212461i
$716$	16.7587	+	34.6638i	0.626301	+	1.29545i
$717$	6.20232	+	23.1474i	0.231630	+	0.864455i
$718$	7.32819	−	11.6826i	0.273486	−	0.435991i
$719$	24.6656	+	42.7221i	0.919872	+	1.59327i	0.799607	+	0.600524i	$0.205041\pi$
$719$	24.6656	+	42.7221i	0.919872	+	1.59327i	0.120265	+	0.992742i	$0.461625\pi$
$720$	−42.2046	+	44.2963i	−1.57287	+	1.65083i
$721$	−11.5096	−	2.31452i	−0.428641	−	0.0861971i
$722$	0.175671	−	4.79316i	0.00653779	−	0.178383i
$723$	16.1706	+	4.33289i	0.601390	+	0.161142i
$724$	2.27474	−	3.34744i	0.0845401	−	0.124407i
$725$	−16.3690	−	3.01541i	−0.607929	−	0.111990i
$726$	27.5708	+	8.48135i	1.02325	+	0.314772i
$727$	28.6448	+	28.6448i	1.06238	+	1.06238i	0.997921	+	0.0644558i	$0.0205311\pi$
$727$	28.6448	+	28.6448i	1.06238	+	1.06238i	0.0644558	+	0.997921i	$0.479469\pi$
$728$	3.90098	−	3.55372i	0.144580	−	0.131709i
$729$		−	4.76430i		−	0.176456i
$730$	−2.69653	+	2.08277i	−0.0998029	+	0.0770869i
$731$	1.69257	−	2.93161i	0.0626018	−	0.108429i
$732$	−5.49554	+	1.04854i	−0.203121	+	0.0387550i
$733$	−10.0108	+	37.3607i	−0.369756	+	1.37995i	0.491102	+	0.871102i	$0.336594\pi$
$733$	−10.0108	+	37.3607i	−0.369756	+	1.37995i	−0.860858	+	0.508845i	$0.830073\pi$
$734$	31.1819	−	28.9770i	1.15094	−	1.06956i
$735$	−14.3892	−	46.9454i	−0.530754	−	1.73161i
$736$	22.4757	−	15.4501i	0.828466	−	0.569499i
$737$	−20.4950	−	5.49162i	−0.754943	−	0.202286i
$738$	50.2827	+	31.5410i	1.85093	+	1.16104i
$739$	−13.5553	+	23.4785i	−0.498641	+	0.863671i	−0.999999	−	0.00156895i	$-0.999501\pi$
$739$	−13.5553	+	23.4785i	−0.498641	+	0.863671i	0.501358	+	0.865240i	$0.332834\pi$
$740$	31.4266	−	22.4853i	1.15526	−	0.826575i
$741$	−8.73937			−0.321049
$742$	−2.39405	−	2.26942i	−0.0878882	−	0.0833129i
$743$	−31.8384	−	31.8384i	−1.16804	−	1.16804i	−0.982669	−	0.185370i	$-0.940652\pi$
$743$	−31.8384	−	31.8384i	−1.16804	−	1.16804i	−0.185370	−	0.982669i	$-0.559348\pi$
$744$	−18.9564	+	48.6284i	−0.694975	+	1.78280i
$745$	−8.31007	+	3.83647i	−0.304457	+	0.140557i
$746$	27.1231	−	6.21254i	0.993048	−	0.227457i
$747$	49.8511	+	13.3576i	1.82396	+	0.488728i
$748$	−1.14609	+	0.989354i	−0.0419054	+	0.0361744i
$749$	−5.29899	+	26.3509i	−0.193621	+	0.962839i
$750$	−22.7061	−	44.0971i	−0.829110	−	1.61020i
$751$	8.41983	+	14.5836i	0.307244	+	0.532162i	0.977758	−	0.209734i	$-0.0672599\pi$
$751$	8.41983	+	14.5836i	0.307244	+	0.532162i	−0.670514	+	0.741896i	$0.733927\pi$
$752$	38.5351	−	4.46148i	1.40523	−	0.162693i
$753$	−39.2777	+	10.5244i	−1.43136	+	0.383532i
$754$	−3.17301	−	0.976083i	−0.115554	−	0.0355469i
$755$	−29.6994	−	20.9653i	−1.08087	−	0.763004i
$756$	15.8881	+	61.7376i	0.577846	+	2.24537i
$757$	19.4638	+	19.4638i	0.707425	+	0.707425i	0.965993	−	0.258568i	$-0.0832506\pi$
$757$	19.4638	+	19.4638i	0.707425	+	0.707425i	−0.258568	+	0.965993i	$0.583251\pi$
$758$	29.0014	−	15.3561i	1.05338	−	0.557758i
$759$	16.0380	−	27.7787i	0.582143	−	1.00830i
$760$	−23.6977	+	7.92189i	−0.859606	+	0.287357i
$761$	−28.8394	+	16.6504i	−1.04543	+	0.603577i	−0.921366	−	0.388697i	$-0.872925\pi$
$761$	−28.8394	+	16.6504i	−1.04543	+	0.603577i	−0.124061	+	0.992275i	$0.539592\pi$
$762$	−0.845038	+	23.0568i	−0.0306125	+	0.835259i
$763$	−6.84392	+	13.8050i	−0.247766	+	0.499775i
$764$	5.92765	+	0.435085i	0.214455	+	0.0157408i
$765$	3.49354	+	4.19589i	0.126309	+	0.151703i
$766$	16.6651	−	3.81714i	0.602136	−	0.137919i
$767$	2.73308	+	10.2000i	0.0986858	+	0.368300i
$768$	−26.4425	+	42.6610i	−0.954160	+	1.53940i
$769$	21.3268			0.769064			0.384532	−	0.923112i	$-0.374363\pi$
$769$	21.3268			0.769064			0.384532	+	0.923112i	$0.374363\pi$
$770$	1.14135	−	17.7072i	0.0411314	−	0.638122i
$771$		−	4.46794i		−	0.160909i
$772$	−2.27800	+	6.54228i	−0.0819870	+	0.235462i
$773$	5.19246	−	1.39132i	0.186760	−	0.0500422i	−0.164227	−	0.986423i	$-0.552513\pi$
$773$	5.19246	−	1.39132i	0.186760	−	0.0500422i	0.350987	+	0.936380i	$0.385846\pi$
$774$	−20.4830	−	89.4260i	−0.736245	−	3.21435i
$775$	−22.3858	−	19.0773i	−0.804123	−	0.685276i
$776$	17.2911	−	13.8543i	0.620713	−	0.497340i
$777$	−4.54021	−	71.5701i	−0.162879	−	2.56756i
$778$	0.307495	−	8.38998i	0.0110242	−	0.300795i
$779$	12.1203	+	20.9931i	0.434256	+	0.752154i
$780$	−3.47795	−	9.26118i	−0.124531	−	0.331603i
$781$	−2.36850	−	1.36746i	−0.0847518	−	0.0489314i
$782$	−1.13892	−	2.15095i	−0.0407277	−	0.0769179i
$783$	28.3583	−	28.3583i	1.01344	−	1.01344i
$784$	−13.5164	−	24.5216i	−0.482729	−	0.875770i
$785$	17.3917	−	2.99817i	0.620736	−	0.107009i
$786$	−15.9122	−	4.89490i	−0.567568	−	0.174595i
$787$	0.400951	+	1.49637i	0.0142924	+	0.0533398i	0.972704	−	0.232050i	$-0.0745434\pi$
$787$	0.400951	+	1.49637i	0.0142924	+	0.0533398i	−0.958411	+	0.285390i	$0.907877\pi$
$788$	−38.5029	+	7.34625i	−1.37161	+	0.261699i
$789$	29.8675	−	17.2440i	1.06331	−	0.613903i
$790$	−33.2613	−	25.3546i	−1.18338	−	0.902078i
$791$	21.8538	+	19.2465i	0.777032	+	0.684328i
$792$	−4.50052	+	40.7854i	−0.159919	+	1.44925i
$793$	0.162751	−	0.607396i	0.00577947	−	0.0215693i
$794$	−0.508173	+	0.116397i	−0.0180344	+	0.00413077i
$795$	−5.61466	+	2.59210i	−0.199132	+	0.0919321i
$796$	−6.79585	−	14.0566i	−0.240872	−	0.498223i
$797$	−2.60824	+	2.60824i	−0.0923887	+	0.0923887i	−0.751791	−	0.659402i	$-0.770810\pi$
$797$	−2.60824	+	2.60824i	−0.0923887	+	0.0923887i	0.659402	+	0.751791i	$0.270810\pi$
$798$	−10.8010	+	45.0962i	−0.382350	+	1.59639i
$799$		−	3.46177i		−	0.122469i
$800$	−17.8257	−	21.9600i	−0.630235	−	0.776405i
$801$	−65.2989	−	37.7004i	−2.30722	−	1.33208i
$802$	−20.9614	−	13.1486i	−0.740174	−	0.464292i
$803$	−0.591422	+	2.20722i	−0.0208708	+	0.0778910i
$804$	−4.59480	+	62.6001i	−0.162046	+	2.20774i
$805$	27.3365	+	8.14366i	0.963484	+	0.287026i
$806$	−3.99337	−	4.29722i	−0.140660	−	0.151363i
$807$	29.8536	+	7.99924i	1.05090	+	0.281587i
$808$	9.20621	+	6.76187i	0.323873	+	0.237882i
$809$	14.9765	+	8.64668i	0.526545	+	0.304001i	0.739609	−	0.673037i	$-0.235011\pi$
$809$	14.9765	+	8.64668i	0.526545	+	0.304001i	−0.213063	+	0.977038i	$0.568344\pi$
$810$	54.1705	+	6.95653i	1.90336	+	0.244428i
$811$	18.4373			0.647423			0.323711	−	0.946156i	$-0.395069\pi$
$811$	18.4373			0.647423			0.323711	+	0.946156i	$0.395069\pi$
$812$	−8.95823	+	15.1668i	−0.314372	+	0.532250i
$813$	−19.4406	+	19.4406i	−0.681813	+	0.681813i
$814$	7.61979	−	24.7701i	0.267074	−	0.868192i
$815$	−1.48016	+	4.01887i	−0.0518477	+	0.140775i
$816$	3.51035	+	2.78186i	0.122887	+	0.0973844i
$817$	9.69708	−	36.1900i	0.339258	−	1.26613i
$818$	0.768731	−	20.9747i	0.0268780	−	0.733364i
$819$	−12.5118	−	2.51604i	−0.437198	−	0.0879177i
$820$	−17.4231	+	21.1985i	−0.608440	+	0.740284i
$821$	38.1123	−	22.0042i	1.33013	−	0.767951i	0.344810	−	0.938672i	$-0.387943\pi$
$821$	38.1123	−	22.0042i	1.33013	−	0.767951i	0.985319	+	0.170722i	$0.0546100\pi$
$822$	−14.4705	−	9.07694i	−0.504715	−	0.316595i
$823$	−27.6610	+	7.41175i	−0.964203	+	0.258357i	−0.706378	−	0.707834i	$-0.749672\pi$
$823$	−27.6610	+	7.41175i	−0.964203	+	0.258357i	−0.257825	+	0.966192i	$0.583006\pi$
$824$	−4.55840	+	11.6936i	−0.158799	+	0.407365i
$825$	−30.0394	−	14.2880i	−1.04584	−	0.497445i
$826$	56.0110	−	1.49688i	1.94887	−	0.0520832i
$827$	4.03901	+	4.03901i	0.140450	+	0.140450i	0.773836	−	0.633386i	$-0.218335\pi$
$827$	4.03901	+	4.03901i	0.140450	+	0.140450i	−0.633386	+	0.773836i	$0.718335\pi$
$828$	−62.2931	−	21.6902i	−2.16484	−	0.753788i
$829$	13.4395	+	7.75929i	0.466773	+	0.269491i	0.714888	−	0.699239i	$-0.246478\pi$
$829$	13.4395	+	7.75929i	0.466773	+	0.269491i	−0.248115	+	0.968731i	$0.579811\pi$
$830$	−9.06013	+	22.0713i	−0.314482	+	0.766106i
$831$	51.2424	−	29.5848i	1.77758	−	1.02629i
$832$	−3.02329	−	4.76281i	−0.104814	−	0.165121i
$833$	−2.31246	+	0.946507i	−0.0801220	+	0.0327945i
$834$	−25.3864	−	27.3180i	−0.879058	−	0.945945i
$835$	−24.7643	+	20.6190i	−0.857003	+	0.713550i
$836$	−9.41863	+	13.8602i	−0.325750	+	0.479364i
$837$	68.4533	−	18.3420i	2.36609	−	0.633993i
$838$	3.99670	+	7.54813i	0.138064	+	0.260746i
$839$	−31.8914			−1.10101			−0.550507	−	0.834830i	$-0.685566\pi$
$839$	−31.8914			−1.10101			−0.550507	+	0.834830i	$0.685566\pi$
$840$	−52.0872	+	6.50078i	−1.79718	+	0.224298i
$841$	−17.9185			−0.617880
$842$	−15.2623	−	28.8242i	−0.525974	−	0.993348i
$843$	−21.3170	+	5.71187i	−0.734196	+	0.196727i
$844$	−19.3647	−	13.1592i	−0.666562	−	0.452960i
$845$	−27.8411	−	2.54298i	−0.957762	−	0.0874811i
$846$	−63.8658	−	68.7253i	−2.19575	−	2.36282i
$847$	9.52756	+	14.3239i	0.327371	+	0.492177i
$848$	−2.83099	+	2.10279i	−0.0972166	+	0.0722103i
$849$	74.0465	−	42.7508i	2.54127	−	1.46720i
$850$	−2.12962	+	1.35480i	−0.0730453	+	0.0464693i
$851$	36.0785	+	20.8300i	1.23676	+	0.714042i
$852$	−2.66046	+	7.64068i	−0.0911459	+	0.261766i
$853$	30.0000	+	30.0000i	1.02718	+	1.02718i	0.999620	+	0.0275614i	$0.00877419\pi$
$853$	30.0000	+	30.0000i	1.02718	+	1.02718i	0.0275614	+	0.999620i	$0.491226\pi$
$854$	−2.93309	−	1.59050i	−0.100368	−	0.0544256i
$855$	49.3686	+	34.8500i	1.68837	+	1.19185i
$856$	26.7720	+	10.4363i	0.915046	+	0.356705i
$857$	16.6612	−	4.46437i	0.569137	−	0.152500i	0.0372363	−	0.999306i	$-0.488145\pi$
$857$	16.6612	−	4.46437i	0.569137	−	0.152500i	0.531901	+	0.846807i	$0.321478\pi$
$858$	−5.62039	−	3.52552i	−0.191877	−	0.120359i
$859$	−29.0365	+	16.7642i	−0.990711	+	0.571987i	−0.905487	−	0.424374i	$-0.860494\pi$
$859$	−29.0365	+	16.7642i	−0.990711	+	0.571987i	−0.0852245	+	0.996362i	$0.527161\pi$
$860$	42.2099	−	4.12622i	1.43935	−	0.140703i
$861$	16.2678	+	48.2557i	0.554405	+	1.64455i
$862$	−1.64474	+	44.8765i	−0.0560200	+	1.52850i
$863$	7.33889	−	27.3891i	0.249819	−	0.932336i	−0.721081	−	0.692851i	$-0.756355\pi$
$863$	7.33889	−	27.3891i	0.249819	−	0.932336i	0.970900	−	0.239486i	$-0.0769788\pi$
$864$	67.9402	−	5.35316i	2.31137	−	0.182118i
$865$	14.1643	+	5.21675i	0.481601	+	0.177375i
$866$	−8.51691	+	27.6864i	−0.289416	+	0.940823i
$867$	−37.4261	+	37.4261i	−1.27106	+	1.27106i
$868$	−27.1096	+	15.2953i	−0.920159	+	0.519158i
$869$	−28.0489			−0.951494
$870$	20.1859	+	26.1343i	0.684366	+	0.886036i
$871$	−6.10978	−	3.52748i	−0.207022	−	0.119524i
$872$	13.2760	+	9.75106i	0.449581	+	0.330213i
$873$	−51.7598	−	13.8690i	−1.75180	−	0.469395i
$874$	−18.3377	−	19.7330i	−0.620281	−	0.667478i
$875$	6.16362	−	28.9311i	0.208368	−	0.978050i
$876$	6.74175	+	0.494839i	0.227783	+	0.0167191i
$877$	−0.890895	+	3.32486i	−0.0300834	+	0.112273i	−0.979335	−	0.202245i	$-0.935176\pi$
$877$	−0.890895	+	3.32486i	−0.0300834	+	0.112273i	0.949252	+	0.314518i	$0.101843\pi$
$878$	46.8454	+	29.3849i	1.58096	+	0.991692i
$879$	−15.7625	−	9.10047i	−0.531655	−	0.306951i
$880$	−18.4360	−	4.46516i	−0.621478	−	0.150521i
$881$		−	28.2574i		−	0.952015i	−0.879441	−	0.476008i	$-0.842083\pi$
$881$		−	28.2574i		−	0.952015i	0.879441	−	0.476008i	$-0.157917\pi$
$882$	−28.4464	+	61.4529i	−0.957840	+	2.06923i
$883$	28.6613	−	28.6613i	0.964530	−	0.964530i	−0.0348618	−	0.999392i	$-0.511099\pi$
$883$	28.6613	−	28.6613i	0.964530	−	0.964530i	0.999392	+	0.0348618i	$0.0110991\pi$
$884$	−0.453232	+	0.219121i	−0.0152439	+	0.00736984i
$885$	36.3028	−	98.5681i	1.22031	−	3.31333i
$886$	35.6316	−	8.16140i	1.19707	−	0.274188i
$887$	11.6876	−	43.6186i	0.392430	−	1.46457i	−0.433683	−	0.901065i	$-0.642786\pi$
$887$	11.6876	−	43.6186i	0.392430	−	1.46457i	0.826113	−	0.563504i	$-0.190547\pi$
$888$	−76.2029	−	8.40872i	−2.55720	−	0.282178i
$889$	−9.09422	+	10.3262i	−0.305010	+	0.346329i
$890$	21.1315	−	27.7211i	0.708328	−	0.929214i
$891$	31.7209	−	18.3141i	1.06269	−	0.613545i
$892$	−4.51680	−	23.6733i	−0.151234	−	0.792640i
$893$	−9.91663	−	37.0094i	−0.331848	−	1.23847i
$894$	17.3566	+	5.33924i	0.580491	+	0.178571i
$895$	35.1674	+	24.8252i	1.17552	+	0.829816i
$896$	−28.3131	+	9.71421i	−0.945876	+	0.324529i
$897$	7.54149	−	7.54149i	0.251803	−	0.251803i
$898$	−23.7546	−	44.8626i	−0.792700	−	1.49708i
$899$	16.9584	+	9.79093i	0.565594	+	0.326546i
$900$	−17.2840	+	66.1854i	−0.576133	+	2.20618i
$901$	0.157349	+	0.272537i	0.00524207	+	0.00907953i
$902$	−0.674011	+	18.3903i	−0.0224421	+	0.612330i
$903$	34.9599	−	70.5184i	1.16339	−	2.34671i
$904$	24.2948	−	19.4660i	0.808034	−	0.647429i
$905$	0.411587	−	4.50614i	0.0136816	−	0.149789i
$906$	16.1033	+	70.3047i	0.534995	+	2.33572i
$907$	−3.96184	+	1.06157i	−0.131551	+	0.0352489i	−0.323994	−	0.946059i	$-0.605026\pi$
$907$	−3.96184	+	1.06157i	−0.131551	+	0.0352489i	0.192443	+	0.981308i	$0.438359\pi$
$908$	−6.10355	−	2.12524i	−0.202554	−	0.0705284i
$909$		−	27.6255i		−	0.916279i
$910$	1.89040	−	5.58879i	0.0626660	−	0.185267i
$911$	−25.7550			−0.853300			−0.426650	−	0.904417i	$-0.640306\pi$
$911$	−25.7550			−0.853300			−0.426650	+	0.904417i	$0.640306\pi$
$912$	45.4976	+	19.6847i	1.50658	+	0.651825i
$913$	4.14133	+	15.4557i	0.137058	+	0.511508i
$914$	35.3421	−	8.09510i	1.16901	−	0.267762i
$915$	−4.80696	+	4.00233i	−0.158913	+	0.132313i
$916$	1.62759	−	22.1744i	0.0537770	−	0.732664i
$917$	−5.49871	−	8.26689i	−0.181583	−	0.272997i
$918$	0.222745	−	6.07757i	0.00735168	−	0.200590i
$919$	−43.1375	+	24.9055i	−1.42298	+	0.821555i	−0.996552	−	0.0829688i	$-0.973560\pi$
$919$	−43.1375	+	24.9055i	−1.42298	+	0.821555i	−0.426423	+	0.904524i	$0.640226\pi$
$920$	13.6135	−	27.2856i	0.448823	−	0.899580i
$921$	−19.7001	+	34.1216i	−0.649142	+	1.12435i
$922$	−38.5351	+	20.4042i	−1.26909	+	0.671976i
$923$	−0.643013	−	0.643013i	−0.0211650	−	0.0211650i
$924$	−25.1383	+	24.6447i	−0.826991	+	0.810751i
$925$	18.5571	−	39.0148i	0.610153	−	1.28280i
$926$	2.11284	+	0.649951i	0.0694321	+	0.0213587i
$927$	29.3192	−	7.85605i	0.962969	−	0.258027i
$928$	14.3203	+	12.2285i	0.470087	+	0.401420i
$929$	−7.34323	−	12.7188i	−0.240924	−	0.417292i	0.720054	−	0.693918i	$-0.244117\pi$
$929$	−7.34323	−	12.7188i	−0.240924	−	0.417292i	−0.960978	+	0.276626i	$0.910784\pi$
$930$	7.80051	+	57.8293i	0.255789	+	1.89630i
$931$	−22.0108	+	16.7433i	−0.721376	+	0.548739i
$932$	−15.7918	−	18.2936i	−0.517277	−	0.599227i
$933$	−17.5347	−	4.69841i	−0.574060	−	0.153819i
$934$	−48.0852	+	11.0139i	−1.57339	+	0.360385i
$935$	−0.585031	+	1.58845i	−0.0191325	+	0.0519480i
$936$	−4.95531	+	12.7117i	−0.161969	+	0.415496i
$937$	28.4609	+	28.4609i	0.929778	+	0.929778i	0.997691	−	0.0679133i	$-0.0216341\pi$
$937$	28.4609	+	28.4609i	0.929778	+	0.929778i	−0.0679133	+	0.997691i	$0.521634\pi$
$938$	−25.7533	+	27.1676i	−0.840876	+	0.887054i
$939$	96.4368			3.14709
$940$	35.2727	−	25.2371i	1.15047	−	0.823144i
$941$	−9.60318	+	16.6332i	−0.313055	+	0.542227i	−0.979022	−	0.203754i	$-0.934686\pi$
$941$	−9.60318	+	16.6332i	−0.313055	+	0.542227i	0.665967	+	0.745981i	$0.268019\pi$
$942$	−29.6613	−	18.6058i	−0.966417	−	0.606208i
$943$	−28.5746	−	7.65655i	−0.930518	−	0.249332i
$944$	8.74606	−	59.2577i	0.284660	−	1.92867i
$945$	48.9812	+	51.7763i	1.59336	+	1.68428i
$946$	20.8356	−	19.3623i	0.677424	−	0.629524i
$947$	−1.01285	+	3.77999i	−0.0329131	+	0.122833i	−0.980428	−	0.196879i	$-0.936919\pi$
$947$	−1.01285	+	3.77999i	−0.0329131	+	0.122833i	0.947515	+	0.319712i	$0.103586\pi$
$948$	15.5511	+	81.5061i	0.505078	+	2.64719i
$949$	−0.379894	+	0.657996i	−0.0123319	+	0.0213595i
$950$	−18.8865	+	20.5845i	−0.612759	+	0.667850i
$951$		−	82.1203i		−	2.66293i
$952$	0.570544	+	2.60955i	0.0184914	+	0.0845759i
$953$	31.8868	+	31.8868i	1.03291	+	1.03291i	0.999440	+	0.0334751i	$0.0106575\pi$
$953$	31.8868	+	31.8868i	1.03291	+	1.03291i	0.0334751	+	0.999440i	$0.489343\pi$
$954$	8.15180	+	2.50766i	0.263924	+	0.0811885i
$955$	6.03323	−	2.78533i	0.195231	−	0.0901312i
$956$	12.6368	+	8.58731i	0.408704	+	0.277734i
$957$	21.3920	+	5.73197i	0.691505	+	0.185288i
$958$	0.0200772	−	0.547804i	0.000648665	−	0.0176987i
$959$	−3.25435	−	9.65347i	−0.105088	−	0.311727i
$960$	−2.75363	+	56.0480i	−0.0888731	+	1.80894i
$961$	1.80135	+	3.12004i	0.0581082	+	0.100646i
$962$	4.57890	−	7.29968i	0.147630	−	0.235351i
$963$	−17.9861	−	67.1251i	−0.579595	−	2.16308i
$964$	9.60930	−	4.64574i	0.309495	−	0.149629i
$965$	1.31580	+	7.63263i	0.0423570	+	0.245703i
$966$	−29.5945	−	48.2355i	−0.952187	−	1.55195i
$967$	−7.97790	+	7.97790i	−0.256552	+	0.256552i	−0.823650	−	0.567098i	$-0.808066\pi$
$967$	−7.97790	+	7.97790i	−0.256552	+	0.256552i	0.567098	+	0.823650i	$0.308066\pi$
$968$	16.8395	−	7.39312i	0.541243	−	0.237624i
$969$	2.21192	−	3.83115i	0.0710570	−	0.123074i
$970$	9.40703	−	22.9164i	0.302041	−	0.735801i
$971$	−12.6952	−	21.9887i	−0.407408	−	0.705651i	0.587191	−	0.809449i	$-0.300234\pi$
$971$	−12.6952	−	21.9887i	−0.407408	−	0.705651i	−0.994598	+	0.103798i	$0.966900\pi$
$972$	−23.5707	−	27.3049i	−0.756030	−	0.875805i
$973$	−1.40806	−	22.1961i	−0.0451403	−	0.711574i
$974$	11.6991	+	12.5893i	0.374864	+	0.403387i
$975$	−8.41818	−	7.17399i	−0.269598	−	0.229752i
$976$	−2.21540	+	2.79555i	−0.0709132	+	0.0894834i
$977$	1.85434	+	6.92049i	0.0593256	+	0.221406i	0.989224	−	0.146411i	$-0.0467721\pi$
$977$	1.85434	+	6.92049i	0.0593256	+	0.221406i	−0.929898	+	0.367817i	$0.880105\pi$
$978$	7.50927	−	3.97612i	0.240120	−	0.127142i
$979$		−	23.3770i		−	0.747131i
$980$	−26.5025	−	16.6619i	−0.846591	−	0.532243i
$981$		−	39.8378i		−	1.27192i
$982$	4.83405	+	9.12954i	0.154261	+	0.291335i
$983$	−2.94761	−	11.0006i	−0.0940142	−	0.350866i	0.902854	−	0.429947i	$-0.141468\pi$
$983$	−2.94761	−	11.0006i	−0.0940142	−	0.350866i	−0.996868	+	0.0790815i	$0.974801\pi$
$984$	53.8132	−	8.23755i	1.71550	−	0.262604i
$985$	−33.6785	+	28.0411i	−1.07309	+	0.893464i
$986$	1.23098	−	1.14394i	0.0392023	−	0.0364304i
$987$	−5.09587	−	80.3292i	−0.162203	−	2.55691i
$988$	−4.21775	+	3.64093i	−0.134185	+	0.115833i
$989$	22.8616	+	39.5975i	0.726957	+	1.25913i
$990$	17.6907	+	42.3281i	0.562249	+	1.34527i
$991$	5.39193	−	9.33909i	0.171280	−	0.296666i	−0.767588	−	0.640944i	$-0.778543\pi$
$991$	5.39193	−	9.33909i	0.171280	−	0.296666i	0.938868	+	0.344278i	$0.111876\pi$
$992$	11.1106	+	31.3663i	0.352760	+	0.995880i
$993$	−45.3026	+	45.3026i	−1.43764	+	1.43764i
$994$	−4.11272	+	2.52333i	−0.130448	+	0.0800351i
$995$	−14.2608	−	10.0669i	−0.452098	−	0.319143i
$996$	42.6158	−	20.6032i	1.35033	−	0.652836i
$997$	7.45407	+	27.8190i	0.236073	+	0.881036i	0.977662	+	0.210182i	$0.0674056\pi$
$997$	7.45407	+	27.8190i	0.236073	+	0.881036i	−0.741590	+	0.670854i	$0.765928\pi$
$998$	12.1821	+	7.64150i	0.385617	+	0.241887i
$999$	52.0490	+	90.1515i	1.64676	+	2.85227i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.bv.e.213.7	yes	160
5.2	odd	4	inner	280.2.bv.e.157.15	yes	160
7.5	odd	6	inner	280.2.bv.e.173.32	yes	160
8.5	even	2	inner	280.2.bv.e.213.14	yes	160
35.12	even	12	inner	280.2.bv.e.117.14	yes	160
40.37	odd	4	inner	280.2.bv.e.157.32	yes	160
56.5	odd	6	inner	280.2.bv.e.173.15	yes	160
280.117	even	12	inner	280.2.bv.e.117.7	✓	160

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.bv.e.117.7	✓	160	280.117	even	12	inner
280.2.bv.e.117.14	yes	160	35.12	even	12	inner
280.2.bv.e.157.15	yes	160	5.2	odd	4	inner
280.2.bv.e.157.32	yes	160	40.37	odd	4	inner
280.2.bv.e.173.15	yes	160	56.5	odd	6	inner
280.2.bv.e.173.32	yes	160	7.5	odd	6	inner
280.2.bv.e.213.7	yes	160	1.1	even	1	trivial
280.2.bv.e.213.14	yes	160	8.5	even	2	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:	\( N \)	\(=\)	\( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	280.bv (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.24982 + 0.661775i) q^{2} +(3.03007 - 0.811904i) q^{3} +(1.12411 - 1.65420i) q^{4} +(0.203394 - 2.22680i) q^{5} +(-3.24974 + 3.01996i) q^{6} +(-2.64044 + 0.167503i) q^{7} +(-0.310224 + 2.81136i) q^{8} +(5.92404 - 3.42025i) q^{9} +O(q^{10})\)	\(q+(-1.24982 + 0.661775i) q^{2} +(3.03007 - 0.811904i) q^{3} +(1.12411 - 1.65420i) q^{4} +(0.203394 - 2.22680i) q^{5} +(-3.24974 + 3.01996i) q^{6} +(-2.64044 + 0.167503i) q^{7} +(-0.310224 + 2.81136i) q^{8} +(5.92404 - 3.42025i) q^{9} +(1.21943 + 2.91770i) q^{10} +(1.83667 + 1.06040i) q^{11} +(2.06307 - 5.92501i) q^{12} +(0.498628 + 0.498628i) q^{13} +(3.18923 - 1.95673i) q^{14} +(-1.19165 - 6.91248i) q^{15} +(-1.47277 - 3.71900i) q^{16} +(-0.344790 + 0.0923862i) q^{17} +(-5.14056 + 8.19508i) q^{18} +(-3.42145 + 1.97538i) q^{19} +(-3.45494 - 2.83961i) q^{20} +(-7.86473 + 2.65133i) q^{21} +(-2.99726 - 0.109850i) q^{22} +(1.24787 - 4.65710i) q^{23} +(1.34256 + 8.77049i) q^{24} +(-4.91726 - 0.905833i) q^{25} +(-0.953175 - 0.293216i) q^{26} +(8.51884 - 8.51884i) q^{27} +(-2.69106 + 4.55612i) q^{28} +3.32889 q^{29} +(6.06386 + 7.85077i) q^{30} +(5.09431 + 2.94120i) q^{31} +(4.30184 + 3.67345i) q^{32} +(6.42618 + 1.72189i) q^{33} +(0.369787 - 0.343640i) q^{34} +(-0.164055 + 5.91380i) q^{35} +(1.00148 - 13.6443i) q^{36} +(-2.23636 + 8.34623i) q^{37} +(2.96895 - 4.73310i) q^{38} +(1.91571 + 1.10604i) q^{39} +(6.19724 + 1.26262i) q^{40} -6.13571i q^{41} +(8.07492 - 8.51837i) q^{42} +(-6.70579 + 6.70579i) q^{43} +(3.81873 - 1.84622i) q^{44} +(-6.41129 - 13.8873i) q^{45} +(1.52234 + 6.64635i) q^{46} +(-2.51006 + 9.36768i) q^{47} +(-7.48205 - 10.0731i) q^{48} +(6.94389 - 0.884562i) q^{49} +(6.74516 - 2.12199i) q^{50} +(-0.969728 + 0.559872i) q^{51} +(1.38534 - 0.264320i) q^{52} +(-0.228182 - 0.851586i) q^{53} +(-5.00947 + 16.2846i) q^{54} +(2.73487 - 3.87421i) q^{55} +(0.348218 - 7.47521i) q^{56} +(-8.76341 + 8.76341i) q^{57} +(-4.16051 + 2.20297i) q^{58} +(12.9687 + 7.48746i) q^{59} +(-12.7742 - 5.79914i) q^{60} +(-0.445868 - 0.772266i) q^{61} +(-8.31340 - 0.304689i) q^{62} +(-15.0692 + 10.0233i) q^{63} +(-7.80752 - 1.74430i) q^{64} +(1.21176 - 1.00893i) q^{65} +(-9.17107 + 2.10063i) q^{66} +(-9.66379 + 2.58940i) q^{67} +(-0.234755 + 0.674204i) q^{68} -15.1245i q^{69} +(-3.70857 - 7.49977i) q^{70} -1.28957 q^{71} +(7.77778 + 17.7157i) q^{72} +(0.278867 + 1.04075i) q^{73} +(-2.72827 - 11.9113i) q^{74} +(-15.6351 + 1.24761i) q^{75} +(-0.578409 + 7.88031i) q^{76} +(-5.02724 - 2.49228i) q^{77} +(-3.12625 - 0.114578i) q^{78} +(-11.4537 + 6.61281i) q^{79} +(-8.58101 + 2.52313i) q^{80} +(8.63544 - 14.9570i) q^{81} +(4.06046 + 7.66855i) q^{82} +(5.33493 + 5.33493i) q^{83} +(-4.45496 + 15.9902i) q^{84} +(0.135597 + 0.786568i) q^{85} +(3.94331 - 12.8188i) q^{86} +(10.0867 - 2.70274i) q^{87} +(-3.55095 + 4.83458i) q^{88} +(-5.51135 - 9.54594i) q^{89} +(17.2032 + 13.1138i) q^{90} +(-1.40012 - 1.23308i) q^{91} +(-6.30105 - 7.29931i) q^{92} +(17.8241 + 4.77595i) q^{93} +(-3.06217 - 13.3690i) q^{94} +(3.70286 + 8.02066i) q^{95} +(16.0173 + 7.63811i) q^{96} +(-5.53919 - 5.53919i) q^{97} +(-8.09324 + 5.70084i) q^{98} +14.5073 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 160 q - 2 q^{2} + 12 q^{7} + 4 q^{8}+O(q^{10}) \) 160 * q - 2 * q^2 + 12 * q^7 + 4 * q^8	\( 160 q - 2 q^{2} + 12 q^{7} + 4 q^{8} - 6 q^{10} + 6 q^{12} - 8 q^{15} + 4 q^{16} - 12 q^{17} - 28 q^{18} - 24 q^{22} - 16 q^{23} + 20 q^{25} - 12 q^{26} - 46 q^{28} + 32 q^{30} + 48 q^{31} + 18 q^{32} - 12 q^{33} - 32 q^{36} - 48 q^{38} + 54 q^{40} + 6 q^{42} - 64 q^{46} - 132 q^{47} - 12 q^{50} - 20 q^{56} - 88 q^{57} + 6 q^{58} + 34 q^{60} - 32 q^{63} - 28 q^{65} - 180 q^{66} + 60 q^{68} - 108 q^{70} - 160 q^{71} + 52 q^{72} + 84 q^{73} + 48 q^{78} - 48 q^{80} + 16 q^{81} - 90 q^{82} - 84 q^{86} - 12 q^{87} + 44 q^{88} + 36 q^{92} - 20 q^{95} - 48 q^{96} - 94 q^{98}+O(q^{100}) \) 160 * q - 2 * q^2 + 12 * q^7 + 4 * q^8 - 6 * q^10 + 6 * q^12 - 8 * q^15 + 4 * q^16 - 12 * q^17 - 28 * q^18 - 24 * q^22 - 16 * q^23 + 20 * q^25 - 12 * q^26 - 46 * q^28 + 32 * q^30 + 48 * q^31 + 18 * q^32 - 12 * q^33 - 32 * q^36 - 48 * q^38 + 54 * q^40 + 6 * q^42 - 64 * q^46 - 132 * q^47 - 12 * q^50 - 20 * q^56 - 88 * q^57 + 6 * q^58 + 34 * q^60 - 32 * q^63 - 28 * q^65 - 180 * q^66 + 60 * q^68 - 108 * q^70 - 160 * q^71 + 52 * q^72 + 84 * q^73 + 48 * q^78 - 48 * q^80 + 16 * q^81 - 90 * q^82 - 84 * q^86 - 12 * q^87 + 44 * q^88 + 36 * q^92 - 20 * q^95 - 48 * q^96 - 94 * q^98

Introduction

L-functions

Modular forms

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