LMFDB - Embedded newform 175.2.n.a.64.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

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

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

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

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

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

chi := DirichletCharacter("175.29");

S:= CuspForms(chi, 2);

N := Newforms(S);

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

Newform invariants

comment: select newform

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

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

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

Embedding invariants

Embedding label			64.8
Character	$\chi$	$=$	175.64
Dual form			175.2.n.a.134.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.116896 + 0.160894i) q^{2} +(1.46957 + 0.477493i) q^{3} +(0.605812 - 1.86450i) q^{4} +(0.474567 + 2.18513i) q^{5} +(0.0949619 + 0.292263i) q^{6} +1.00000i q^{7} +(0.749089 - 0.243394i) q^{8} +(-0.495409 - 0.359936i) q^{9} +O(q^{10})$	\(q+(0.116896 + 0.160894i) q^{2} +(1.46957 + 0.477493i) q^{3} +(0.605812 - 1.86450i) q^{4} +(0.474567 + 2.18513i) q^{5} +(0.0949619 + 0.292263i) q^{6} +1.00000i q^{7} +(0.749089 - 0.243394i) q^{8} +(-0.495409 - 0.359936i) q^{9} +(-0.296099 + 0.331789i) q^{10} +(-2.54486 + 1.84895i) q^{11} +(1.78057 - 2.45074i) q^{12} +(3.82082 - 5.25890i) q^{13} +(-0.160894 + 0.116896i) q^{14} +(-0.345973 + 3.43781i) q^{15} +(-3.04535 - 2.21257i) q^{16} +(-2.71417 + 0.881886i) q^{17} -0.121784i q^{18} +(1.06144 + 3.26678i) q^{19} +(4.36166 + 0.438948i) q^{20} +(-0.477493 + 1.46957i) q^{21} +(-0.594971 - 0.193318i) q^{22} +(0.341048 + 0.469412i) q^{23} +1.21706 q^{24} +(-4.54957 + 2.07398i) q^{25} +1.29277 q^{26} +(-3.28091 - 4.51578i) q^{27} +(1.86450 + 0.605812i) q^{28} +(-0.343638 + 1.05761i) q^{29} +(-0.593566 + 0.346202i) q^{30} +(-0.595158 - 1.83171i) q^{31} -2.32390i q^{32} +(-4.62272 + 1.50201i) q^{33} +(-0.459166 - 0.333604i) q^{34} +(-2.18513 + 0.474567i) q^{35} +(-0.971225 + 0.705636i) q^{36} +(-1.48385 + 2.04235i) q^{37} +(-0.401527 + 0.552655i) q^{38} +(8.12605 - 5.90392i) q^{39} +(0.887339 + 1.52135i) q^{40} +(-4.17033 - 3.02992i) q^{41} +(-0.292263 + 0.0949619i) q^{42} -3.23994i q^{43} +(1.90566 + 5.86501i) q^{44} +(0.551401 - 1.25335i) q^{45} +(-0.0356584 + 0.109745i) q^{46} +(-3.36797 - 1.09432i) q^{47} +(-3.41887 - 4.70567i) q^{48} -1.00000 q^{49} +(-0.865520 - 0.489559i) q^{50} -4.40975 q^{51} +(-7.49052 - 10.3098i) q^{52} +(-0.678998 - 0.220620i) q^{53} +(0.343036 - 1.05576i) q^{54} +(-5.24790 - 4.68340i) q^{55} +(0.243394 + 0.749089i) q^{56} +5.30760i q^{57} +(-0.210333 + 0.0683414i) q^{58} +(8.59038 + 6.24127i) q^{59} +(6.20018 + 2.72773i) q^{60} +(-6.90849 + 5.01931i) q^{61} +(0.225139 - 0.309878i) q^{62} +(0.359936 - 0.495409i) q^{63} +(-5.71679 + 4.15349i) q^{64} +(13.3046 + 5.85327i) q^{65} +(-0.782044 - 0.568189i) q^{66} +(14.5002 - 4.71139i) q^{67} +5.59481i q^{68} +(0.277053 + 0.852682i) q^{69} +(-0.331789 - 0.296099i) q^{70} +(-3.64856 + 11.2291i) q^{71} +(-0.458712 - 0.149044i) q^{72} +(-1.09960 - 1.51347i) q^{73} -0.502059 q^{74} +(-7.67623 + 0.875474i) q^{75} +6.73394 q^{76} +(-1.84895 - 2.54486i) q^{77} +(1.89981 + 0.617287i) q^{78} +(-2.62230 + 8.07060i) q^{79} +(3.38954 - 7.70449i) q^{80} +(-2.09759 - 6.45571i) q^{81} -1.02517i q^{82} +(11.3179 - 3.67741i) q^{83} +(2.45074 + 1.78057i) q^{84} +(-3.21509 - 5.51229i) q^{85} +(0.521288 - 0.378738i) q^{86} +(-1.01000 + 1.39015i) q^{87} +(-1.45631 + 2.00443i) q^{88} +(13.5558 - 9.84885i) q^{89} +(0.266113 - 0.0577945i) q^{90} +(5.25890 + 3.82082i) q^{91} +(1.08183 - 0.351507i) q^{92} -2.97601i q^{93} +(-0.217634 - 0.669808i) q^{94} +(-6.63462 + 3.86969i) q^{95} +(1.10964 - 3.41513i) q^{96} +(9.52242 + 3.09402i) q^{97} +(-0.116896 - 0.160894i) q^{98} +1.92625 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 56 q + 12 q^{4} - 6 q^{5} + 6 q^{9}+O(q^{10}) $ 56 * q + 12 * q^4 - 6 * q^5 + 6 * q^9	$ 56 q + 12 q^{4} - 6 q^{5} + 6 q^{9} - 4 q^{10} + 8 q^{11} - 40 q^{12} - 4 q^{14} - 18 q^{15} - 32 q^{16} + 12 q^{19} + 12 q^{20} + 4 q^{21} - 30 q^{22} + 10 q^{23} - 28 q^{24} + 4 q^{25} + 12 q^{26} + 30 q^{27} - 2 q^{29} + 28 q^{30} + 12 q^{31} + 20 q^{33} + 2 q^{35} - 14 q^{36} - 70 q^{37} - 70 q^{38} - 4 q^{39} - 30 q^{40} + 4 q^{41} + 50 q^{42} + 22 q^{44} - 52 q^{45} - 4 q^{46} - 10 q^{47} + 30 q^{48} - 56 q^{49} - 54 q^{50} - 44 q^{51} - 20 q^{53} + 54 q^{54} - 2 q^{55} + 12 q^{56} + 10 q^{58} - 6 q^{59} + 16 q^{60} - 4 q^{61} + 50 q^{62} + 20 q^{63} + 24 q^{64} - 18 q^{65} - 74 q^{66} + 10 q^{67} - 78 q^{69} + 8 q^{70} - 8 q^{71} + 140 q^{72} + 40 q^{73} + 60 q^{74} - 8 q^{75} + 52 q^{76} - 20 q^{77} - 90 q^{78} + 124 q^{80} - 72 q^{81} - 30 q^{83} - 12 q^{84} + 96 q^{85} - 20 q^{86} + 30 q^{87} + 140 q^{88} + 38 q^{89} - 8 q^{90} + 8 q^{91} + 80 q^{92} + 88 q^{94} - 70 q^{95} - 28 q^{96} - 30 q^{97} + 60 q^{99}+O(q^{100}) $ 56 * q + 12 * q^4 - 6 * q^5 + 6 * q^9 - 4 * q^10 + 8 * q^11 - 40 * q^12 - 4 * q^14 - 18 * q^15 - 32 * q^16 + 12 * q^19 + 12 * q^20 + 4 * q^21 - 30 * q^22 + 10 * q^23 - 28 * q^24 + 4 * q^25 + 12 * q^26 + 30 * q^27 - 2 * q^29 + 28 * q^30 + 12 * q^31 + 20 * q^33 + 2 * q^35 - 14 * q^36 - 70 * q^37 - 70 * q^38 - 4 * q^39 - 30 * q^40 + 4 * q^41 + 50 * q^42 + 22 * q^44 - 52 * q^45 - 4 * q^46 - 10 * q^47 + 30 * q^48 - 56 * q^49 - 54 * q^50 - 44 * q^51 - 20 * q^53 + 54 * q^54 - 2 * q^55 + 12 * q^56 + 10 * q^58 - 6 * q^59 + 16 * q^60 - 4 * q^61 + 50 * q^62 + 20 * q^63 + 24 * q^64 - 18 * q^65 - 74 * q^66 + 10 * q^67 - 78 * q^69 + 8 * q^70 - 8 * q^71 + 140 * q^72 + 40 * q^73 + 60 * q^74 - 8 * q^75 + 52 * q^76 - 20 * q^77 - 90 * q^78 + 124 * q^80 - 72 * q^81 - 30 * q^83 - 12 * q^84 + 96 * q^85 - 20 * q^86 + 30 * q^87 + 140 * q^88 + 38 * q^89 - 8 * q^90 + 8 * q^91 + 80 * q^92 + 88 * q^94 - 70 * q^95 - 28 * q^96 - 30 * q^97 + 60 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$101$	$127$
$\chi(n)$	$1$	$e\left(\frac{3}{10}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	0.116896	+	0.160894i	0.0826582	+	0.113769i	0.848344	−	0.529446i	$-0.177600\pi$
$2$	0.116896	+	0.160894i	0.0826582	+	0.113769i	−0.765686	+	0.643215i	$0.777600\pi$
$3$	1.46957	+	0.477493i	0.848458	+	0.275681i	0.700800	−	0.713358i	$-0.252827\pi$
$3$	1.46957	+	0.477493i	0.848458	+	0.275681i	0.147658	+	0.989039i	$0.452827\pi$
$4$	0.605812	−	1.86450i	0.302906	−	0.932249i
$5$	0.474567	+	2.18513i	0.212233	+	0.977219i
$5$	0.474567	+	2.18513i	0.212233	+	0.977219i
$6$	0.0949619	+	0.292263i	0.0387680	+	0.119316i
$7$			1.00000i			0.377964i
$7$			1.00000i			0.377964i
$8$	0.749089	−	0.243394i	0.264843	−	0.0860526i
$9$	−0.495409	−	0.359936i	−0.165136	−	0.119979i
$10$	−0.296099	+	0.331789i	−0.0936348	+	0.104921i
$11$	−2.54486	+	1.84895i	−0.767305	+	0.557480i	−0.901142	−	0.433524i	$-0.857270\pi$
$11$	−2.54486	+	1.84895i	−0.767305	+	0.557480i	0.133837	+	0.991003i	$0.457270\pi$
$12$	1.78057	−	2.45074i	0.514006	−	0.707468i
$13$	3.82082	−	5.25890i	1.05970	−	1.45856i	0.179622	−	0.983736i	$-0.442512\pi$
$13$	3.82082	−	5.25890i	1.05970	−	1.45856i	0.880082	−	0.474822i	$-0.157488\pi$
$14$	−0.160894	+	0.116896i	−0.0430008	+	0.0312419i
$15$	−0.345973	+	3.43781i	−0.0893298	+	0.887637i
$16$	−3.04535	−	2.21257i	−0.761336	−	0.553143i
$17$	−2.71417	+	0.881886i	−0.658282	+	0.213889i	−0.619062	−	0.785342i	$-0.712487\pi$
$17$	−2.71417	+	0.881886i	−0.658282	+	0.213889i	−0.0392195	+	0.999231i	$0.512487\pi$
$18$		−	0.121784i		−	0.0287047i
$19$	1.06144	+	3.26678i	0.243512	+	0.749451i	0.995878	+	0.0907063i	$0.0289125\pi$
$19$	1.06144	+	3.26678i	0.243512	+	0.749451i	−0.752366	+	0.658745i	$0.771088\pi$
$20$	4.36166	+	0.438948i	0.975298	+	0.0981517i
$21$	−0.477493	+	1.46957i	−0.104197	+	0.320687i
$22$	−0.594971	−	0.193318i	−0.126848	−	0.0412155i
$23$	0.341048	+	0.469412i	0.0711134	+	0.0978792i	0.843092	−	0.537769i	$-0.180733\pi$
$23$	0.341048	+	0.469412i	0.0711134	+	0.0978792i	−0.771979	+	0.635648i	$0.780733\pi$
$24$	1.21706			0.248431
$25$	−4.54957	+	2.07398i	−0.909914	+	0.414796i
$26$	1.29277			0.253532
$27$	−3.28091	−	4.51578i	−0.631411	−	0.869063i
$28$	1.86450	+	0.605812i	0.352357	+	0.114488i
$29$	−0.343638	+	1.05761i	−0.0638120	+	0.196393i	−0.977880	−	0.209169i	$-0.932924\pi$
$29$	−0.343638	+	1.05761i	−0.0638120	+	0.196393i	0.914068	+	0.405562i	$0.132924\pi$
$30$	−0.593566	+	0.346202i	−0.108370	+	0.0632076i
$31$	−0.595158	−	1.83171i	−0.106894	−	0.328985i	0.883277	−	0.468852i	$-0.155332\pi$
$31$	−0.595158	−	1.83171i	−0.106894	−	0.328985i	−0.990170	+	0.139868i	$0.955332\pi$
$32$		−	2.32390i		−	0.410811i
$33$	−4.62272	+	1.50201i	−0.804712	+	0.261467i
$34$	−0.459166	−	0.333604i	−0.0787464	−	0.0572126i
$35$	−2.18513	+	0.474567i	−0.369354	+	0.0802165i
$36$	−0.971225	+	0.705636i	−0.161871	+	0.117606i
$37$	−1.48385	+	2.04235i	−0.243944	+	0.335760i	−0.913379	−	0.407111i	$-0.866536\pi$
$37$	−1.48385	+	2.04235i	−0.243944	+	0.335760i	0.669435	+	0.742871i	$0.266536\pi$
$38$	−0.401527	+	0.552655i	−0.0651363	+	0.0896525i
$39$	8.12605	−	5.90392i	1.30121	−	0.945384i
$40$	0.887339	+	1.52135i	0.140301	+	0.240546i
$41$	−4.17033	−	3.02992i	−0.651296	−	0.473194i	0.212417	−	0.977179i	$-0.431867\pi$
$41$	−4.17033	−	3.02992i	−0.651296	−	0.473194i	−0.863712	+	0.503985i	$0.831867\pi$
$42$	−0.292263	+	0.0949619i	−0.0450971	+	0.0146529i
$43$		−	3.23994i		−	0.494086i	−0.969004	−	0.247043i	$-0.920541\pi$
$43$		−	3.23994i		−	0.494086i	0.969004	−	0.247043i	$-0.0794590\pi$
$44$	1.90566	+	5.86501i	0.287288	+	0.884183i
$45$	0.551401	−	1.25335i	0.0821981	−	0.186838i
$46$	−0.0356584	+	0.109745i	−0.00525754	+	0.0161810i
$47$	−3.36797	−	1.09432i	−0.491268	−	0.159623i	0.0528982	−	0.998600i	$-0.483154\pi$
$47$	−3.36797	−	1.09432i	−0.491268	−	0.159623i	−0.544167	+	0.838977i	$0.683154\pi$
$48$	−3.41887	−	4.70567i	−0.493471	−	0.679204i
$49$	−1.00000			−0.142857
$50$	−0.865520	−	0.489559i	−0.122403	−	0.0692340i
$51$	−4.40975			−0.617489
$52$	−7.49052	−	10.3098i	−1.03875	−	1.42971i
$53$	−0.678998	−	0.220620i	−0.0932675	−	0.0303044i	0.262012	−	0.965065i	$-0.415614\pi$
$53$	−0.678998	−	0.220620i	−0.0932675	−	0.0303044i	−0.355279	+	0.934760i	$0.615614\pi$
$54$	0.343036	−	1.05576i	0.0466814	−	0.143670i
$55$	−5.24790	−	4.68340i	−0.707627	−	0.631510i
$56$	0.243394	+	0.749089i	0.0325248	+	0.100101i
$57$			5.30760i			0.703009i
$58$	−0.210333	+	0.0683414i	−0.0276181	+	0.00897366i
$59$	8.59038	+	6.24127i	1.11837	+	0.812545i	0.983961	−	0.178381i	$-0.0570860\pi$
$59$	8.59038	+	6.24127i	1.11837	+	0.812545i	0.134410	+	0.990926i	$0.457086\pi$
$60$	6.20018	+	2.72773i	0.800440	+	0.352148i
$61$	−6.90849	+	5.01931i	−0.884541	+	0.642657i	−0.934449	−	0.356097i	$-0.884107\pi$
$61$	−6.90849	+	5.01931i	−0.884541	+	0.642657i	0.0499078	+	0.998754i	$0.484107\pi$
$62$	0.225139	−	0.309878i	0.0285927	−	0.0393545i
$63$	0.359936	−	0.495409i	0.0453477	−	0.0624157i
$64$	−5.71679	+	4.15349i	−0.714599	+	0.519186i
$65$	13.3046	+	5.85327i	1.65023	+	0.726009i
$66$	−0.782044	−	0.568189i	−0.0962630	−	0.0699392i
$67$	14.5002	−	4.71139i	1.77148	−	0.575587i	0.773193	−	0.634171i	$-0.218658\pi$
$67$	14.5002	−	4.71139i	1.77148	−	0.575587i	0.998283	+	0.0585831i	$0.0186583\pi$
$68$			5.59481i			0.678470i
$69$	0.277053	+	0.852682i	0.0333533	+	0.102651i
$70$	−0.331789	−	0.296099i	−0.0396563	−	0.0353906i
$71$	−3.64856	+	11.2291i	−0.433004	+	1.33265i	0.462114	+	0.886821i	$0.347091\pi$
$71$	−3.64856	+	11.2291i	−0.433004	+	1.33265i	−0.895118	+	0.445829i	$0.852909\pi$
$72$	−0.458712	−	0.149044i	−0.0540597	−	0.0175651i
$73$	−1.09960	−	1.51347i	−0.128698	−	0.177138i	0.739805	−	0.672821i	$-0.234918\pi$
$73$	−1.09960	−	1.51347i	−0.128698	−	0.177138i	−0.868503	+	0.495683i	$0.834918\pi$
$74$	−0.502059			−0.0583631
$75$	−7.67623	+	0.875474i	−0.886375	+	0.101091i
$76$	6.73394			0.772436
$77$	−1.84895	−	2.54486i	−0.210708	−	0.290014i
$78$	1.89981	+	0.617287i	0.215111	+	0.0698940i
$79$	−2.62230	+	8.07060i	−0.295031	+	0.908013i	0.688180	+	0.725540i	$0.258410\pi$
$79$	−2.62230	+	8.07060i	−0.295031	+	0.908013i	−0.983211	+	0.182473i	$0.941590\pi$
$80$	3.38954	−	7.70449i	0.378962	−	0.861388i
$81$	−2.09759	−	6.45571i	−0.233065	−	0.717301i
$82$		−	1.02517i		−	0.113211i
$83$	11.3179	−	3.67741i	1.24230	−	0.403648i	0.387146	−	0.922019i	$-0.373461\pi$
$83$	11.3179	−	3.67741i	1.24230	−	0.403648i	0.855156	+	0.518370i	$0.173461\pi$
$84$	2.45074	+	1.78057i	0.267398	+	0.194276i
$85$	−3.21509	−	5.51229i	−0.348725	−	0.597891i
$86$	0.521288	−	0.378738i	0.0562119	−	0.0408403i
$87$	−1.01000	+	1.39015i	−0.108284	+	0.149039i
$88$	−1.45631	+	2.00443i	−0.155243	+	0.213673i
$89$	13.5558	−	9.84885i	1.43691	−	1.04398i	0.448233	−	0.893917i	$-0.352053\pi$
$89$	13.5558	−	9.84885i	1.43691	−	1.04398i	0.988677	−	0.150060i	$-0.0479465\pi$
$90$	0.266113	−	0.0577945i	0.0280508	−	0.00609208i
$91$	5.25890	+	3.82082i	0.551283	+	0.400530i
$92$	1.08183	−	0.351507i	0.112788	−	0.0366472i
$93$		−	2.97601i		−	0.308598i
$94$	−0.217634	−	0.669808i	−0.0224472	−	0.0690854i
$95$	−6.63462	+	3.86969i	−0.680697	+	0.397022i
$96$	1.10964	−	3.41513i	0.113253	−	0.348556i
$97$	9.52242	+	3.09402i	0.966855	+	0.314150i	0.749546	−	0.661953i	$-0.230272\pi$
$97$	9.52242	+	3.09402i	0.966855	+	0.314150i	0.217309	+	0.976103i	$0.430272\pi$
$98$	−0.116896	−	0.160894i	−0.0118083	−	0.0162528i
$99$	1.92625			0.193596
$100$	1.11074	+	9.73911i	0.111074	+	0.973911i
$101$	18.6057			1.85133			0.925667	−	0.378339i	$-0.123505\pi$
$101$	18.6057			1.85133			0.925667	+	0.378339i	$0.123505\pi$
$102$	−0.515485	−	0.709504i	−0.0510406	−	0.0702513i
$103$	6.48850	+	2.10824i	0.639331	+	0.207731i	0.610704	−	0.791859i	$-0.290887\pi$
$103$	6.48850	+	2.10824i	0.639331	+	0.207731i	0.0286269	+	0.999590i	$0.490887\pi$
$104$	1.58215	−	4.86935i	0.155142	−	0.477479i
$105$	−3.43781	−	0.345973i	−0.335495	−	0.0337635i
$106$	−0.0438760	−	0.135036i	−0.00426161	−	0.0131159i
$107$			11.2305i			1.08570i	0.839831	+	0.542848i	$0.182654\pi$
$107$			11.2305i			1.08570i	−0.839831	+	0.542848i	$0.817346\pi$
$108$	−10.4073	+	3.38153i	−1.00144	+	0.325388i
$109$	−14.6006	−	10.6079i	−1.39848	−	1.01606i	−0.994874	−	0.101124i	$-0.967756\pi$
$109$	−14.6006	−	10.6079i	−1.39848	−	1.01606i	−0.403608	−	0.914932i	$-0.632244\pi$
$110$	0.140071	−	1.39183i	0.0133552	−	0.132706i
$111$	−3.15583	+	2.29285i	−0.299538	+	0.217627i
$112$	2.21257	−	3.04535i	0.209069	−	0.287758i
$113$	6.41192	−	8.82526i	0.603183	−	0.830210i	−0.392812	−	0.919619i	$-0.628498\pi$
$113$	6.41192	−	8.82526i	0.603183	−	0.830210i	0.995995	+	0.0894084i	$0.0284976\pi$
$114$	−0.853962	+	0.620440i	−0.0799809	+	0.0581095i
$115$	−0.863875	+	0.968000i	−0.0805568	+	0.0902665i
$116$	1.76373	+	1.28142i	0.163758	+	0.118977i
$117$	−3.78574	+	1.23006i	−0.349992	+	0.113719i
$118$			2.11172i			0.194400i
$119$	−0.881886	−	2.71417i	−0.0808423	−	0.248807i
$120$	0.577576	+	2.65943i	0.0527252	+	0.242771i
$121$	−0.341479	+	1.05096i	−0.0310436	+	0.0955423i
$122$	−1.61515	−	0.524796i	−0.146229	−	0.0475128i
$123$	−4.68183	−	6.44398i	−0.422146	−	0.581035i
$124$	−3.77577			−0.339074
$125$	−6.69099	−	8.95716i	−0.598460	−	0.801153i
$126$	0.121784			0.0108494
$127$	7.31970	+	10.0747i	0.649519	+	0.893986i	0.999078	−	0.0429283i	$-0.0136687\pi$
$127$	7.31970	+	10.0747i	0.649519	+	0.893986i	−0.349559	+	0.936914i	$0.613669\pi$
$128$	−5.75686	−	1.87052i	−0.508839	−	0.165332i
$129$	1.54705	−	4.76133i	0.136210	−	0.419211i
$130$	0.613504	+	2.82486i	0.0538079	+	0.247757i
$131$	−0.769069	−	2.36695i	−0.0671939	−	0.206802i	0.911822	−	0.410586i	$-0.134676\pi$
$131$	−0.769069	−	2.36695i	−0.0671939	−	0.206802i	−0.979016	+	0.203784i	$0.934676\pi$
$132$			9.52899i			0.829392i
$133$	−3.26678	+	1.06144i	−0.283266	+	0.0920387i
$134$	2.45305	+	1.78225i	0.211911	+	0.153963i
$135$	8.31056	−	9.31225i	0.715259	−	0.801471i
$136$	−1.81851	+	1.32122i	−0.155936	+	0.113294i
$137$	−5.94096	+	8.17703i	−0.507571	+	0.698611i	−0.983507	−	0.180868i	$-0.942109\pi$
$137$	−5.94096	+	8.17703i	−0.507571	+	0.698611i	0.475937	+	0.879480i	$0.342109\pi$
$138$	−0.104805	+	0.144252i	−0.00892160	+	0.0122795i
$139$	−14.8897	+	10.8180i	−1.26293	+	0.917574i	−0.998898	−	0.0469397i	$-0.985053\pi$
$139$	−14.8897	+	10.8180i	−1.26293	+	0.917574i	−0.264034	+	0.964513i	$0.585053\pi$
$140$	−0.438948	+	4.36166i	−0.0370979	+	0.368628i
$141$	−4.42694	−	3.21636i	−0.372816	−	0.270866i
$142$	−2.23320	+	0.725611i	−0.187406	+	0.0608919i
$143$			20.4477i			1.70992i
$144$	0.712308	+	2.19226i	0.0593590	+	0.182688i
$145$	−2.47409	−	0.248987i	−0.205462	−	0.0206772i
$146$	0.114969	−	0.353838i	0.00951490	−	0.0292838i
$147$	−1.46957	−	0.477493i	−0.121208	−	0.0393829i
$148$	2.90902	+	4.00392i	0.239120	+	0.329120i
$149$	−20.1992			−1.65479			−0.827393	−	0.561623i	$-0.810177\pi$
$149$	−20.1992			−1.65479			−0.827393	+	0.561623i	$0.810177\pi$
$150$	−1.03818	−	1.13272i	−0.0847673	−	0.0924863i
$151$	11.8668			0.965706			0.482853	−	0.875701i	$-0.339601\pi$
$151$	11.8668			0.965706			0.482853	+	0.875701i	$0.339601\pi$
$152$	1.59023	+	2.18876i	0.128985	+	0.177532i
$153$	1.66205	+	0.540031i	0.134368	+	0.0436589i
$154$	0.193318	−	0.594971i	0.0155780	−	0.0479441i
$155$	3.72008	−	2.16977i	0.298804	−	0.174280i
$156$	−6.08499	−	18.7277i	−0.487189	−	1.49941i
$157$		−	16.5799i		−	1.32322i	−0.749850	−	0.661608i	$-0.769874\pi$
$157$		−	16.5799i		−	1.32322i	0.749850	−	0.661608i	$-0.230126\pi$
$158$	−1.60505	+	0.521512i	−0.127691	+	0.0414893i
$159$	−0.892491	−	0.648433i	−0.0707792	−	0.0514241i
$160$	5.07801	−	1.10284i	0.401452	−	0.0871875i
$161$	−0.469412	+	0.341048i	−0.0369948	+	0.0268783i
$162$	0.793485	−	1.09214i	0.0623421	−	0.0858065i
$163$	11.3579	−	15.6328i	0.889620	−	1.22446i	−0.0840429	−	0.996462i	$-0.526783\pi$
$163$	11.3579	−	15.6328i	0.889620	−	1.22446i	0.973663	−	0.227994i	$-0.0732167\pi$
$164$	−8.17571	+	5.94000i	−0.638416	+	0.463836i
$165$	−5.47588	−	9.38843i	−0.426297	−	0.730888i
$166$	1.91470	+	1.39111i	0.148609	+	0.107971i
$167$	−1.45736	+	0.473525i	−0.112774	+	0.0366425i	−0.364860	−	0.931062i	$-0.618883\pi$
$167$	−1.45736	+	0.473525i	−0.112774	+	0.0366425i	0.252086	+	0.967705i	$0.418883\pi$
$168$			1.21706i			0.0938981i
$169$	−9.04020	−	27.8229i	−0.695400	−	2.14022i
$170$	0.511062	−	1.16166i	0.0391967	−	0.0890949i
$171$	0.649984	−	2.00045i	0.0497056	−	0.152978i
$172$	−6.04086	−	1.96280i	−0.460611	−	0.149662i
$173$	2.71764	+	3.74051i	0.206618	+	0.284386i	0.899732	−	0.436442i	$-0.143762\pi$
$173$	2.71764	+	3.74051i	0.206618	+	0.284386i	−0.693114	+	0.720828i	$0.743762\pi$
$174$	−0.341732			−0.0259066
$175$	−2.07398	−	4.54957i	−0.156778	−	0.343915i
$176$	11.8409			0.892544
$177$	9.64401	+	13.2738i	0.724888	+	0.997723i
$178$	3.16924	+	1.02975i	0.237545	+	0.0771830i
$179$	−0.568958	+	1.75107i	−0.0425259	+	0.130881i	−0.970065	−	0.242844i	$-0.921920\pi$
$179$	−0.568958	+	1.75107i	−0.0425259	+	0.130881i	0.927539	+	0.373725i	$0.121920\pi$
$180$	−2.00282	−	1.78738i	−0.149281	−	0.133223i
$181$	−0.648662	−	1.99638i	−0.0482146	−	0.148389i	0.924051	−	0.382270i	$-0.124858\pi$
$181$	−0.648662	−	1.99638i	−0.0482146	−	0.148389i	−0.972265	+	0.233881i	$0.924858\pi$
$182$			1.29277i			0.0958262i
$183$	−12.5492	+	4.07748i	−0.927664	+	0.301416i
$184$	0.369727	+	0.268622i	0.0272566	+	0.0198031i
$185$	−5.16698	−	2.27318i	−0.379884	−	0.167127i
$186$	0.478823	−	0.347885i	0.0351090	−	0.0255082i
$187$	5.27662	−	7.26264i	0.385864	−	0.531097i
$188$	−4.08071	+	5.61661i	−0.297616	+	0.409634i
$189$	4.51578	−	3.28091i	0.328475	−	0.238651i
$190$	−1.39817	−	0.615117i	−0.101434	−	0.0446253i
$191$	−17.0257	−	12.3699i	−1.23194	−	0.895056i	−0.234904	−	0.972019i	$-0.575478\pi$
$191$	−17.0257	−	12.3699i	−1.23194	−	0.895056i	−0.997034	+	0.0769630i	$0.975478\pi$
$192$	−10.3845	+	3.37413i	−0.749436	+	0.243507i
$193$			22.4099i			1.61310i	0.591168	+	0.806548i	$0.298667\pi$
$193$			22.4099i			1.61310i	−0.591168	+	0.806548i	$0.701333\pi$
$194$	0.615327	+	1.89378i	0.0441779	+	0.135966i
$195$	16.7572	+	14.9547i	1.20001	+	1.07093i
$196$	−0.605812	+	1.86450i	−0.0432723	+	0.133178i
$197$	−11.8003	−	3.83414i	−0.840734	−	0.273171i	−0.143174	−	0.989697i	$-0.545731\pi$
$197$	−11.8003	−	3.83414i	−0.840734	−	0.273171i	−0.697560	+	0.716526i	$0.745731\pi$
$198$	0.225172	+	0.309923i	0.0160023	+	0.0220253i
$199$	16.7681			1.18866			0.594329	−	0.804222i	$-0.297418\pi$
$199$	16.7681			1.18866			0.594329	+	0.804222i	$0.297418\pi$
$200$	−2.90324	+	2.66093i	−0.205290	+	0.188156i
$201$	23.5587			1.66170
$202$	2.17494	+	2.99354i	0.153028	+	0.210625i
$203$	−1.05761	−	0.343638i	−0.0742296	−	0.0241187i
$204$	−2.67148	+	8.22198i	−0.187041	+	0.575653i
$205$	4.64166	−	10.5506i	0.324188	−	0.736886i
$206$	0.419279	+	1.29041i	0.0292125	+	0.0899069i
$207$		−	0.355306i		−	0.0246955i
$208$	−23.2714	+	7.56134i	−1.61358	+	0.524285i
$209$	−8.74135	−	6.35096i	−0.604652	−	0.439305i
$210$	−0.346202	−	0.593566i	−0.0238902	−	0.0409599i
$211$	7.43639	−	5.40286i	0.511943	−	0.371948i	−0.301617	−	0.953429i	$-0.597527\pi$
$211$	7.43639	−	5.40286i	0.511943	−	0.371948i	0.813560	+	0.581481i	$0.197527\pi$
$212$	−0.822690	+	1.13234i	−0.0565026	+	0.0777691i
$213$	−10.7236	+	14.7598i	−0.734772	+	1.01133i
$214$	−1.80693	+	1.31281i	−0.123519	+	0.0897418i
$215$	7.07969	−	1.53757i	0.482831	−	0.104861i
$216$	−3.55680	−	2.58417i	−0.242010	−	0.175830i
$217$	1.83171	−	0.595158i	0.124344	−	0.0404020i
$218$		−	3.58918i		−	0.243090i
$219$	−0.893269	−	2.74920i	−0.0603616	−	0.185774i
$220$	−11.9114	+	6.94744i	−0.803069	+	0.468396i
$221$	−5.73258	+	17.6431i	−0.385615	+	1.18680i
$222$	−0.737811	−	0.239729i	−0.0495186	−	0.0160896i
$223$	−10.7678	−	14.8206i	−0.721064	−	0.992460i	−0.999488	−	0.0320016i	$-0.989812\pi$
$223$	−10.7678	−	14.8206i	−0.721064	−	0.992460i	0.278423	−	0.960458i	$-0.410188\pi$
$224$	2.32390			0.155272
$225$	3.00040	+	0.610086i	0.200027	+	0.0406724i
$226$	2.16946			0.144311
$227$	10.1160	+	13.9235i	0.671424	+	0.924137i	0.999792	−	0.0204137i	$-0.00649832\pi$
$227$	10.1160	+	13.9235i	0.671424	+	0.924137i	−0.328367	+	0.944550i	$0.606498\pi$
$228$	9.89601	+	3.21541i	0.655379	+	0.212946i
$229$	−0.727716	+	2.23968i	−0.0480889	+	0.148002i	−0.972218	−	0.234079i	$-0.924793\pi$
$229$	−0.727716	+	2.23968i	−0.0480889	+	0.148002i	0.924129	+	0.382081i	$0.124793\pi$
$230$	−0.256730	−	0.0258367i	−0.0169282	−	0.00170362i
$231$	−1.50201	−	4.62272i	−0.0988252	−	0.304153i
$232$			0.875882i			0.0575045i
$233$	−1.32296	+	0.429855i	−0.0866699	+	0.0281608i	−0.352031	−	0.935988i	$-0.614509\pi$
$233$	−1.32296	+	0.429855i	−0.0866699	+	0.0281608i	0.265361	+	0.964149i	$0.414509\pi$
$234$	−0.640449	−	0.465313i	−0.0418674	−	0.0304185i
$235$	0.792901	−	7.87877i	0.0517232	−	0.513954i
$236$	16.8410	−	12.2357i	1.09625	−	0.796476i
$237$	−7.70730	+	10.6082i	−0.500643	+	0.689076i
$238$	0.333604	−	0.459166i	0.0216243	−	0.0297633i
$239$	−8.49728	+	6.17364i	−0.549644	+	0.399339i	−0.827654	−	0.561239i	$-0.810325\pi$
$239$	−8.49728	+	6.17364i	−0.549644	+	0.399339i	0.278010	+	0.960578i	$0.410325\pi$
$240$	8.66000	−	9.70381i	0.559001	−	0.626379i
$241$	10.3506	+	7.52017i	0.666742	+	0.484417i	0.868933	−	0.494930i	$-0.164806\pi$
$241$	10.3506	+	7.52017i	0.666742	+	0.484417i	−0.202191	+	0.979346i	$0.564806\pi$
$242$	−0.209012	+	0.0679120i	−0.0134358	+	0.00436555i
$243$			6.25673i			0.401370i
$244$	5.17325	+	15.9216i	0.331183	+	1.01928i
$245$	−0.474567	−	2.18513i	−0.0303190	−	0.139603i
$246$	0.489510	−	1.50656i	0.0312100	−	0.0960546i
$247$	21.2353	+	6.89976i	1.35117	+	0.439021i
$248$	−0.891652	−	1.22725i	−0.0566200	−	0.0779307i
$249$	18.3884			1.16532
$250$	0.659001	−	2.12360i	0.0416789	−	0.134308i
$251$	−12.7027			−0.801789			−0.400894	−	0.916124i	$-0.631301\pi$
$251$	−12.7027			−0.801789			−0.400894	+	0.916124i	$0.631301\pi$
$252$	−0.705636	−	0.971225i	−0.0444509	−	0.0611814i
$253$	−1.73584	−	0.564009i	−0.109131	−	0.0354589i
$254$	−0.765314	+	2.35539i	−0.0480201	+	0.147791i
$255$	−2.09272	−	9.63588i	−0.131051	−	0.603422i
$256$	3.99524	+	12.2961i	0.249702	+	0.768505i
$257$		−	20.2119i		−	1.26079i	−0.776276	−	0.630393i	$-0.782894\pi$
$257$		−	20.2119i		−	1.26079i	0.776276	−	0.630393i	$-0.217106\pi$
$258$	0.946914	−	0.307671i	0.0589523	−	0.0191548i
$259$	−2.04235	−	1.48385i	−0.126905	−	0.0922021i
$260$	18.9735	−	21.2604i	1.17669	−	1.31852i
$261$	0.550913	−	0.400262i	0.0341007	−	0.0247756i
$262$	0.290927	−	0.400427i	0.0179735	−	0.0247385i
$263$	−0.941404	+	1.29573i	−0.0580495	+	0.0798983i	−0.837055	−	0.547119i	$-0.815724\pi$
$263$	−0.941404	+	1.29573i	−0.0580495	+	0.0798983i	0.779005	+	0.627017i	$0.215724\pi$
$264$	−3.09725	+	2.25028i	−0.190622	+	0.138495i
$265$	0.159853	−	1.58840i	0.00981966	−	0.0975744i
$266$	−0.552655	−	0.401527i	−0.0338855	−	0.0246192i
$267$	24.6239	−	8.00081i	1.50696	−	0.489641i
$268$		−	29.8897i		−	1.82580i
$269$	−6.08709	−	18.7341i	−0.371136	−	1.14224i	−0.946049	−	0.324025i	$-0.894964\pi$
$269$	−6.08709	−	18.7341i	−0.371136	−	1.14224i	0.574912	−	0.818215i	$-0.305036\pi$
$270$	2.46976	+	0.248551i	0.150305	+	0.0151263i
$271$	−8.23911	+	25.3574i	−0.500490	+	1.54035i	0.307732	+	0.951473i	$0.400430\pi$
$271$	−8.23911	+	25.3574i	−0.500490	+	1.54035i	−0.808222	+	0.588878i	$0.799570\pi$
$272$	10.2168	+	3.31964i	0.619485	+	0.201283i
$273$	5.90392	+	8.12605i	0.357322	+	0.491811i
$274$	−2.01011			−0.121435
$275$	7.74335	−	13.6899i	0.466942	−	0.825534i
$276$	1.75767			0.105799
$277$	1.99739	+	2.74918i	0.120012	+	0.165182i	0.864796	−	0.502123i	$-0.167448\pi$
$277$	1.99739	+	2.74918i	0.120012	+	0.165182i	−0.744784	+	0.667305i	$0.767448\pi$
$278$	−3.48112	−	1.13108i	−0.208783	−	0.0678379i
$279$	−0.364451	+	1.12166i	−0.0218191	+	0.0671523i
$280$	−1.52135	+	0.887339i	−0.0909179	+	0.0530287i
$281$	−10.2397	−	31.5144i	−0.610847	−	1.87999i	−0.450041	−	0.893008i	$-0.648591\pi$
$281$	−10.2397	−	31.5144i	−0.610847	−	1.87999i	−0.160806	−	0.986986i	$-0.551409\pi$
$282$		−	1.08825i		−	0.0648043i
$283$	8.39189	−	2.72669i	0.498846	−	0.162085i	−0.0487777	−	0.998810i	$-0.515533\pi$
$283$	8.39189	−	2.72669i	0.498846	−	0.162085i	0.547624	+	0.836725i	$0.315533\pi$
$284$	18.7263	+	13.6055i	1.11120	+	0.807335i
$285$	−11.5978	+	2.51881i	−0.686994	+	0.149202i
$286$	−3.28991	+	2.39026i	−0.194537	+	0.141339i
$287$	3.02992	−	4.17033i	0.178850	−	0.246167i
$288$	−0.836454	+	1.15128i	−0.0492885	+	0.0678398i
$289$	−7.16432	+	5.20518i	−0.421430	+	0.306187i
$290$	−0.249152	−	0.427172i	−0.0146307	−	0.0250844i
$291$	12.5165	+	9.09377i	0.733730	+	0.533086i
$292$	−3.48801	+	1.13332i	−0.204120	+	0.0663227i
$293$			16.0205i			0.935929i	0.883747	+	0.467965i	$0.155013\pi$
$293$			16.0205i			0.935929i	−0.883747	+	0.467965i	$0.844987\pi$
$294$	−0.0949619	−	0.292263i	−0.00553829	−	0.0170451i
$295$	−9.56127	+	21.7330i	−0.556679	+	1.26534i
$296$	−0.614442	+	1.89106i	−0.0357137	+	0.109916i
$297$	16.6989	+	5.42581i	0.968970	+	0.314837i
$298$	−2.36122	−	3.24994i	−0.136782	−	0.188264i
$299$	3.77167			0.218122
$300$	−3.01803	+	14.8427i	−0.174246	+	0.856943i
$301$	3.23994			0.186747
$302$	1.38719	+	1.90930i	0.0798236	+	0.109868i
$303$	27.3424	+	8.88408i	1.57078	+	0.510377i
$304$	3.99554	−	12.2970i	0.229160	−	0.705281i
$305$	−14.2464	−	12.7139i	−0.815745	−	0.727998i
$306$	0.107399	+	0.330541i	0.00613961	+	0.0188958i
$307$			13.9199i			0.794452i	0.917721	+	0.397226i	$0.130027\pi$
$307$			13.9199i			0.794452i	−0.917721	+	0.397226i	$0.869973\pi$
$308$	−5.86501	+	1.90566i	−0.334190	+	0.108585i
$309$	8.52865	+	6.19642i	0.485178	+	0.352502i
$310$	0.783966	+	0.344900i	0.0445263	+	0.0195890i
$311$	−17.1323	+	12.4473i	−0.971481	+	0.705822i	−0.955789	−	0.294054i	$-0.904995\pi$
$311$	−17.1323	+	12.4473i	−0.971481	+	0.705822i	−0.0156926	+	0.999877i	$0.504995\pi$
$312$	4.65016	−	6.40039i	0.263263	−	0.362351i
$313$	6.99509	−	9.62791i	0.395386	−	0.544202i	−0.564193	−	0.825643i	$-0.690812\pi$
$313$	6.99509	−	9.62791i	0.395386	−	0.544202i	0.959578	+	0.281441i	$0.0908125\pi$
$314$	2.66760	−	1.93813i	0.150541	−	0.109375i
$315$	1.25335	+	0.551401i	0.0706181	+	0.0310680i
$316$	13.4590	+	9.77853i	0.757127	+	0.550085i
$317$	−15.0386	+	4.88635i	−0.844653	+	0.274445i	−0.699205	−	0.714921i	$-0.746463\pi$
$317$	−15.0386	+	4.88635i	−0.844653	+	0.274445i	−0.145448	+	0.989366i	$0.546463\pi$
$318$		−	0.219396i		−	0.0123031i
$319$	−1.08096	−	3.32684i	−0.0605219	−	0.186267i
$320$	−11.7889	−	10.5208i	−0.659020	−	0.588131i
$321$	−5.36250	+	16.5041i	−0.299305	+	0.921167i
$322$	−0.109745	−	0.0356584i	−0.00611586	−	0.00198716i
$323$	−5.76186	−	7.93052i	−0.320598	−	0.441266i
$324$	−13.3074			−0.739300
$325$	−6.47623	+	31.8501i	−0.359236	+	1.76672i
$326$	3.84293			0.212840
$327$	−16.3914	−	22.5608i	−0.906445	−	1.24761i
$328$	−3.86141	−	1.25465i	−0.213211	−	0.0692763i
$329$	1.09432	−	3.36797i	0.0603318	−	0.185682i
$330$	0.870432	−	1.97851i	0.0479157	−	0.108913i
$331$	0.154570	+	0.475716i	0.00849591	+	0.0261477i	0.955215	−	0.295914i	$-0.0956242\pi$
$331$	0.154570	+	0.475716i	0.00849591	+	0.0261477i	−0.946719	+	0.322062i	$0.895624\pi$
$332$		−	23.3300i		−	1.28040i
$333$	1.47023	−	0.477706i	0.0805680	−	0.0261781i
$334$	−0.246548	−	0.179127i	−0.0134905	−	0.00980142i
$335$	17.1763	+	29.4488i	0.938440	+	1.60896i
$336$	4.70567	−	3.41887i	0.256715	−	0.186514i
$337$	−9.43372	+	12.9844i	−0.513887	+	0.707305i	−0.984569	−	0.174998i	$-0.944008\pi$
$337$	−9.43372	+	12.9844i	−0.513887	+	0.707305i	0.470681	+	0.882303i	$0.344008\pi$
$338$	3.41977	−	4.70691i	0.186011	−	0.256022i
$339$	13.6368	−	9.90770i	0.740648	−	0.538112i
$340$	−12.2254	+	2.65511i	−0.663014	+	0.143994i
$341$	4.90134	+	3.56103i	0.265422	+	0.192841i
$342$	0.397841	−	0.129266i	0.0215128	−	0.00698992i
$343$		−	1.00000i		−	0.0539949i
$344$	−0.788581	−	2.42700i	−0.0425175	−	0.130855i
$345$	−1.73174	+	1.01005i	−0.0932337	+	0.0543794i
$346$	−0.284144	+	0.874504i	−0.0152757	+	0.0470136i
$347$	−28.2700	−	9.18549i	−1.51761	−	0.493103i	−0.572517	−	0.819893i	$-0.694033\pi$
$347$	−28.2700	−	9.18549i	−1.51761	−	0.493103i	−0.945097	+	0.326790i	$0.894033\pi$
$348$	1.98006	+	2.72531i	0.106142	+	0.146092i
$349$	−4.77252			−0.255467			−0.127734	−	0.991809i	$-0.540770\pi$
$349$	−4.77252			−0.255467			−0.127734	+	0.991809i	$0.540770\pi$
$350$	0.489559	−	0.865520i	0.0261680	−	0.0462640i
$351$	−36.2838			−1.93669
$352$	4.29677	+	5.91400i	0.229019	+	0.315217i
$353$	−14.1567	−	4.59978i	−0.753483	−	0.244821i	−0.0930035	−	0.995666i	$-0.529647\pi$
$353$	−14.1567	−	4.59978i	−0.753483	−	0.244821i	−0.660479	+	0.750844i	$0.729647\pi$
$354$	−1.00833	+	3.10333i	−0.0535923	+	0.164940i
$355$	−26.2685	−	2.64361i	−1.39419	−	0.140308i
$356$	−10.1509	−	31.2413i	−0.537997	−	1.65578i
$357$		−	4.40975i		−	0.233389i
$358$	−0.348246	+	0.113152i	−0.0184054	+	0.00598028i
$359$	−1.22879	−	0.892771i	−0.0648532	−	0.0471186i	0.554886	−	0.831926i	$-0.312762\pi$
$359$	−1.22879	−	0.892771i	−0.0648532	−	0.0471186i	−0.619740	+	0.784808i	$0.712762\pi$
$360$	0.107992	−	1.07308i	0.00569167	−	0.0565560i
$361$	5.82611	−	4.23292i	0.306637	−	0.222785i
$362$	0.245379	−	0.337735i	0.0128968	−	0.0177510i
$363$	−1.00366	+	1.38141i	−0.0526783	+	0.0725055i
$364$	10.3098	−	7.49052i	0.540381	−	0.392610i
$365$	2.78529	−	3.12101i	0.145789	−	0.163361i
$366$	−2.12300	−	1.54245i	−0.110971	−	0.0806251i
$367$	−1.06627	+	0.346453i	−0.0556589	+	0.0180847i	−0.336714	−	0.941607i	$-0.609316\pi$
$367$	−1.06627	+	0.346453i	−0.0556589	+	0.0180847i	0.281055	+	0.959692i	$0.409316\pi$
$368$		−	2.18411i		−	0.113855i
$369$	0.975442	+	3.00210i	0.0507795	+	0.156283i
$370$	−0.238260	−	1.09706i	−0.0123866	−	0.0570336i
$371$	0.220620	−	0.678998i	0.0114540	−	0.0352518i
$372$	−5.54876	−	1.80290i	−0.287690	−	0.0934761i
$373$	−12.1687	−	16.7488i	−0.630070	−	0.867217i	0.367967	−	0.929839i	$-0.380054\pi$
$373$	−12.1687	−	16.7488i	−0.630070	−	0.867217i	−0.998037	+	0.0626214i	$0.980054\pi$
$374$	1.78533			0.0923174
$375$	−5.55591	−	16.3581i	−0.286906	−	0.844728i
$376$	−2.78926			−0.143845
$377$	4.24889	+	5.84809i	0.218829	+	0.301192i
$378$	1.05576	+	0.343036i	0.0543023	+	0.0176439i
$379$	−3.43439	+	10.5700i	−0.176413	+	0.542942i	−0.999695	−	0.0246897i	$-0.992140\pi$
$379$	−3.43439	+	10.5700i	−0.176413	+	0.542942i	0.823283	+	0.567632i	$0.192140\pi$
$380$	3.19571	+	14.7145i	0.163936	+	0.754839i
$381$	5.94623	+	18.3006i	0.304635	+	0.937569i
$382$		−	4.18534i		−	0.214140i
$383$	20.8206	−	6.76503i	1.06388	−	0.345677i	0.275782	−	0.961220i	$-0.411063\pi$
$383$	20.8206	−	6.76503i	1.06388	−	0.345677i	0.788103	+	0.615543i	$0.211063\pi$
$384$	−7.56696	−	5.49772i	−0.386150	−	0.280554i
$385$	4.68340	−	5.24790i	0.238688	−	0.267458i
$386$	−3.60561	+	2.61963i	−0.183521	+	0.133336i
$387$	−1.16617	+	1.60510i	−0.0592798	+	0.0815917i
$388$	11.5376	−	15.8801i	0.585732	−	0.806191i
$389$	−26.3164	+	19.1200i	−1.33429	+	0.969422i	−0.334661	+	0.942338i	$0.608622\pi$
$389$	−26.3164	+	19.1200i	−1.33429	+	0.969422i	−0.999633	+	0.0270833i	$0.991378\pi$
$390$	−0.447262	+	4.44428i	−0.0226480	+	0.225045i
$391$	−1.33963	−	0.973297i	−0.0677479	−	0.0492217i
$392$	−0.749089	+	0.243394i	−0.0378347	+	0.0122932i
$393$		−	3.84563i		−	0.193986i
$394$	−0.762519	−	2.34679i	−0.0384151	−	0.118230i
$395$	−18.8797	−	1.90001i	−0.949943	−	0.0956001i
$396$	1.16695	−	3.59149i	0.0586413	−	0.180479i
$397$	7.90989	+	2.57008i	0.396986	+	0.128989i	0.500705	−	0.865618i	$-0.333074\pi$
$397$	7.90989	+	2.57008i	0.396986	+	0.128989i	−0.103719	+	0.994607i	$0.533074\pi$
$398$	1.96013	+	2.69789i	0.0982524	+	0.135233i
$399$	−5.30760			−0.265712
$400$	18.4439	+	3.75028i	0.922193	+	0.187514i
$401$	0.343282			0.0171427			0.00857134	−	0.999963i	$-0.497272\pi$
$401$	0.343282			0.0171427			0.00857134	+	0.999963i	$0.497272\pi$
$402$	2.75392	+	3.79045i	0.137353	+	0.189051i
$403$	−11.9068	−	3.86874i	−0.593118	−	0.192716i
$404$	11.2715	−	34.6902i	0.560780	−	1.72590i
$405$	13.1111	−	7.64717i	0.651496	−	0.379991i
$406$	−0.0683414	−	0.210333i	−0.00339173	−	0.0104387i
$407$		−	7.94107i		−	0.393624i
$408$	−3.30330	+	1.07331i	−0.163538	+	0.0531366i
$409$	−13.6719	−	9.93319i	−0.676030	−	0.491165i	0.196008	−	0.980602i	$-0.437202\pi$
$409$	−13.6719	−	9.93319i	−0.676030	−	0.491165i	−0.872038	+	0.489438i	$0.837202\pi$
$410$	2.24012	−	0.486511i	0.110632	−	0.0240271i
$411$	−12.6351	+	9.17997i	−0.623246	+	0.452815i
$412$	7.86162	−	10.8206i	0.387314	−	0.533092i
$413$	−6.24127	+	8.59038i	−0.307113	+	0.422705i
$414$	0.0571667	−	0.0415341i	0.00280959	−	0.00204129i
$415$	13.4067	+	22.9859i	0.658110	+	1.12833i
$416$	−12.2212	−	8.87919i	−0.599191	−	0.435338i
$417$	−27.0471	+	8.78813i	−1.32450	+	0.430357i
$418$		−	2.14884i		−	0.105103i
$419$	8.47434	+	26.0813i	0.413999	+	1.27416i	0.913143	+	0.407639i	$0.133648\pi$
$419$	8.47434	+	26.0813i	0.413999	+	1.27416i	−0.499145	+	0.866519i	$0.666352\pi$
$420$	−2.72773	+	6.20018i	−0.133100	+	0.302538i
$421$	3.84570	−	11.8358i	0.187428	−	0.576843i	−0.812554	−	0.582886i	$-0.801923\pi$
$421$	3.84570	−	11.8358i	0.187428	−	0.576843i	0.999982	+	0.00604268i	$0.00192346\pi$
$422$	1.73858	+	0.564898i	0.0846325	+	0.0274988i
$423$	1.27464	+	1.75439i	0.0619750	+	0.0853013i
$424$	−0.562327			−0.0273090
$425$	10.5193	−	9.64133i	0.510260	−	0.467673i
$426$	−3.62832			−0.175793
$427$	−5.01931	−	6.90849i	−0.242901	−	0.334325i
$428$	20.9393	+	6.80359i	1.01214	+	0.328864i
$429$	−9.76363	+	30.0494i	−0.471392	+	1.45080i
$430$	1.07498	+	0.959344i	0.0518400	+	0.0462637i
$431$	−5.58749	−	17.1965i	−0.269140	−	0.828327i	−0.990711	−	0.135987i	$-0.956580\pi$
$431$	−5.58749	−	17.1965i	−0.269140	−	0.828327i	0.721571	−	0.692341i	$-0.243420\pi$
$432$			21.0114i			1.01091i
$433$	15.0890	−	4.90270i	0.725130	−	0.235609i	0.0768839	−	0.997040i	$-0.475503\pi$
$433$	15.0890	−	4.90270i	0.725130	−	0.235609i	0.648246	+	0.761431i	$0.275503\pi$
$434$	0.309878	+	0.225139i	0.0148746	+	0.0108070i
$435$	−3.51696	−	1.54726i	−0.168626	−	0.0741857i
$436$	−28.6237	+	20.7963i	−1.37083	+	0.995963i
$437$	−1.17146	+	1.61238i	−0.0560387	+	0.0771307i
$438$	0.337910	−	0.465093i	0.0161460	−	0.0222230i
$439$	16.8115	−	12.2143i	0.802370	−	0.582956i	−0.109238	−	0.994016i	$-0.534841\pi$
$439$	16.8115	−	12.2143i	0.802370	−	0.582956i	0.911609	+	0.411059i	$0.134841\pi$
$440$	−5.07106	−	2.23098i	−0.241753	−	0.106358i
$441$	0.495409	+	0.359936i	0.0235909	+	0.0171398i
$442$	−3.50878	+	1.14007i	−0.166896	+	0.0542277i
$443$		−	17.1519i		−	0.814913i	−0.913225	−	0.407456i	$-0.866416\pi$
$443$		−	17.1519i		−	0.814913i	0.913225	−	0.407456i	$-0.133584\pi$
$444$	2.36317	+	7.27308i	0.112151	+	0.345165i
$445$	27.9541	+	24.9472i	1.32515	+	1.18261i
$446$	1.12583	−	3.46495i	0.0533096	−	0.164070i
$447$	−29.6842	−	9.64499i	−1.40402	−	0.456192i
$448$	−4.15349	−	5.71679i	−0.196234	−	0.270093i
$449$	40.9515			1.93262			0.966311	−	0.257378i	$-0.0828586\pi$
$449$	40.9515			1.93262			0.966311	+	0.257378i	$0.0828586\pi$
$450$	0.252577	+	0.554064i	0.0119066	+	0.0261188i
$451$	16.2151			0.763538
$452$	−12.5702	−	17.3015i	−0.591255	−	0.813792i
$453$	17.4391	+	5.66631i	0.819360	+	0.266226i
$454$	−1.05768	+	3.25522i	−0.0496396	+	0.152775i
$455$	−5.85327	+	13.3046i	−0.274406	+	0.623730i
$456$	1.29184	+	3.97586i	0.0604958	+	0.186187i
$457$		−	2.15047i		−	0.100595i	−0.998734	−	0.0502974i	$-0.983983\pi$
$457$		−	2.15047i		−	0.100595i	0.998734	−	0.0502974i	$-0.0160169\pi$
$458$	−0.445419	+	0.144725i	−0.0208131	+	0.00676257i
$459$	12.8873	+	9.36320i	0.601529	+	0.437037i
$460$	1.28149	+	2.19712i	0.0597497	+	0.102441i
$461$	15.1567	−	11.0120i	0.705919	−	0.512880i	−0.175935	−	0.984402i	$-0.556295\pi$
$461$	15.1567	−	11.0120i	0.705919	−	0.512880i	0.881855	+	0.471521i	$0.156295\pi$
$462$	0.568189	−	0.782044i	0.0264345	−	0.0363840i
$463$	5.50573	−	7.57799i	0.255873	−	0.352179i	−0.661684	−	0.749783i	$-0.730158\pi$
$463$	5.50573	−	7.57799i	0.255873	−	0.352179i	0.917557	+	0.397604i	$0.130158\pi$
$464$	3.38653	−	2.46046i	0.157216	−	0.114224i
$465$	6.50296	−	1.41232i	0.301568	−	0.0654946i
$466$	−0.223810	−	0.162608i	−0.0103678	−	0.00753266i
$467$	−16.3621	+	5.31635i	−0.757146	+	0.246012i	−0.662053	−	0.749457i	$-0.730315\pi$
$467$	−16.3621	+	5.31635i	−0.757146	+	0.246012i	−0.0950926	+	0.995468i	$0.530315\pi$
$468$			7.80368i			0.360725i
$469$	4.71139	+	14.5002i	0.217552	+	0.669555i
$470$	1.36033	−	0.793427i	0.0627476	−	0.0365980i
$471$	7.91676	−	24.3653i	0.364785	−	1.12269i
$472$	7.95404	+	2.58442i	0.366114	+	0.118958i
$473$	5.99049	+	8.24521i	0.275443	+	0.379115i
$474$	−2.60775			−0.119778
$475$	−11.6043	−	12.6611i	−0.532444	−	0.580929i
$476$	−5.59481			−0.256438
$477$	0.256973	+	0.353693i	0.0117660	+	0.0161945i
$478$	−1.98660	−	0.645487i	−0.0908651	−	0.0295239i
$479$	0.493255	−	1.51808i	0.0225374	−	0.0693630i	−0.939155	−	0.343493i	$-0.888390\pi$
$479$	0.493255	−	1.51808i	0.0225374	−	0.0693630i	0.961693	+	0.274130i	$0.0883898\pi$
$480$	7.98910	+	0.804005i	0.364651	+	0.0366977i
$481$	5.07098	+	15.6069i	0.231217	+	0.711612i
$482$			2.54444i			0.115896i
$483$	−0.852682	+	0.277053i	−0.0387984	+	0.0126064i
$484$	1.75265	+	1.27337i	0.0796659	+	0.0578806i
$485$	−2.24181	+	22.2760i	−0.101795	+	1.01150i
$486$	−1.00667	+	0.731390i	−0.0456635	+	0.0331765i
$487$	21.7097	−	29.8809i	0.983761	−	1.35403i	0.0489823	−	0.998800i	$-0.484402\pi$
$487$	21.7097	−	29.8809i	0.983761	−	1.35403i	0.934779	−	0.355231i	$-0.115598\pi$
$488$	−3.95340	+	5.44139i	−0.178962	+	0.246320i
$489$	24.1558	−	17.5502i	1.09236	−	0.793648i
$490$	0.296099	−	0.331789i	0.0133764	−	0.0149887i
$491$	−11.5175	−	8.36798i	−0.519779	−	0.377642i	0.296742	−	0.954958i	$-0.404100\pi$
$491$	−11.5175	−	8.36798i	−0.519779	−	0.377642i	−0.816521	+	0.577316i	$0.804100\pi$
$492$	−14.8511	+	4.82541i	−0.669539	+	0.217546i
$493$		−	3.17358i		−	0.142931i
$494$	1.37220	+	4.22319i	0.0617381	+	0.190010i
$495$	0.914136	+	4.20911i	0.0410874	+	0.189185i
$496$	−2.24033	+	6.89502i	−0.100594	+	0.309595i
$497$	−11.2291	−	3.64856i	−0.503694	−	0.163660i
$498$	2.14954	+	2.95859i	0.0963232	+	0.132577i
$499$	−8.62876			−0.386276			−0.193138	−	0.981172i	$-0.561867\pi$
$499$	−8.62876			−0.386276			−0.193138	+	0.981172i	$0.561867\pi$
$500$	−20.7541	+	7.04898i	−0.928150	+	0.315240i
$501$	−2.36780			−0.105786
$502$	−1.48490	−	2.04379i	−0.0662745	−	0.0912190i
$503$	−5.35372	−	1.73953i	−0.238711	−	0.0775618i	0.187219	−	0.982318i	$-0.440053\pi$
$503$	−5.35372	−	1.73953i	−0.238711	−	0.0775618i	−0.425929	+	0.904757i	$0.640053\pi$
$504$	0.149044	−	0.458712i	0.00663897	−	0.0204326i
$505$	8.82964	+	40.6558i	0.392914	+	1.80916i
$506$	−0.112168	−	0.345217i	−0.00498647	−	0.0153468i
$507$		−	45.2044i		−	2.00760i
$508$	23.2186	−	7.54419i	1.03016	−	0.334719i
$509$	13.1848	+	9.57934i	0.584407	+	0.424597i	0.840310	−	0.542106i	$-0.182373\pi$
$509$	13.1848	+	9.57934i	0.584407	+	0.424597i	−0.255903	+	0.966702i	$0.582373\pi$
$510$	1.30572	−	1.46311i	0.0578185	−	0.0647875i
$511$	1.51347	−	1.09960i	0.0669519	−	0.0486434i
$512$	−8.62721	+	11.8743i	−0.381272	+	0.524776i
$513$	11.2696	−	15.5113i	0.497565	−	0.684839i
$514$	3.25198	−	2.36270i	0.143439	−	0.104214i
$515$	−1.52755	+	15.1787i	−0.0673119	+	0.668854i
$516$	−7.94026	−	5.76894i	−0.349550	−	0.253963i
$517$	10.5944	−	3.44232i	0.465939	−	0.151393i
$518$		−	0.502059i		−	0.0220592i
$519$	2.20770	+	6.79460i	0.0969072	+	0.298250i
$520$	11.3910	+	1.14636i	0.499528	+	0.0502713i
$521$	0.0730238	−	0.224744i	0.00319923	−	0.00984623i	−0.949444	−	0.313936i	$-0.898352\pi$
$521$	0.0730238	−	0.224744i	0.00319923	−	0.00984623i	0.952643	+	0.304090i	$0.0983523\pi$
$522$	0.128800	+	0.0418495i	0.00563740	+	0.00183170i
$523$	4.51014	+	6.20767i	0.197215	+	0.271443i	0.896159	−	0.443734i	$-0.146346\pi$
$523$	4.51014	+	6.20767i	0.197215	+	0.271443i	−0.698944	+	0.715176i	$0.746346\pi$
$524$	−4.87909			−0.213144
$525$	−0.875474	−	7.67623i	−0.0382088	−	0.335018i
$526$	−0.318522			−0.0138882
$527$	3.23071	+	4.44670i	0.140732	+	0.193701i
$528$	17.4011	+	5.65396i	0.757285	+	0.246057i
$529$	7.00336	−	21.5541i	0.304494	−	0.937135i
$530$	0.274250	−	0.159958i	0.0119126	−	0.00694815i
$531$	−2.00929	−	6.18397i	−0.0871959	−	0.268361i
$532$			6.73394i			0.291953i
$533$	−31.8681	+	10.3546i	−1.38036	+	0.448507i
$534$	4.16573	+	3.02658i	0.180269	+	0.130973i
$535$	−24.5402	+	5.32964i	−1.06096	+	0.230420i
$536$	9.71518	−	7.05849i	0.419632	−	0.304880i
$537$	−1.67225	+	2.30165i	−0.0721629	+	0.0993237i
$538$	2.30265	−	3.16933i	0.0992744	−	0.136639i
$539$	2.54486	−	1.84895i	0.109615	−	0.0796400i
$540$	−12.3280	−	21.1365i	−0.530514	−	0.909569i
$541$	−1.06900	−	0.776676i	−0.0459600	−	0.0333919i	0.564568	−	0.825387i	$-0.309043\pi$
$541$	−1.06900	−	0.776676i	−0.0459600	−	0.0333919i	−0.610528	+	0.791995i	$0.709043\pi$
$542$	−5.04298	+	1.63856i	−0.216614	+	0.0703823i
$543$		−	3.24355i		−	0.139194i
$544$	2.04941	+	6.30744i	0.0878678	+	0.270429i
$545$	16.2508	−	36.9383i	0.696106	−	1.58226i
$546$	−0.617287	+	1.89981i	−0.0264174	+	0.0813045i
$547$	−32.8266	−	10.6660i	−1.40357	−	0.456046i	−0.493224	−	0.869903i	$-0.664182\pi$
$547$	−32.8266	−	10.6660i	−1.40357	−	0.456046i	−0.910342	+	0.413856i	$0.864182\pi$
$548$	11.6469	+	16.0307i	0.497533	+	0.684795i
$549$	5.22916			0.223175
$550$	3.10780	−	0.354444i	0.132517	−	0.0151136i
$551$	−3.81973			−0.162726
$552$	0.415075	+	0.571302i	0.0176668	+	0.0243162i
$553$	−8.07060	−	2.62230i	−0.343197	−	0.111511i
$554$	−0.208838	+	0.642738i	−0.00887269	+	0.0273073i
$555$	−6.50782	−	5.80779i	−0.276242	−	0.246527i
$556$	11.1498	+	34.3156i	0.472857	+	1.45530i
$557$			39.5507i			1.67582i	0.545810	+	0.837909i	$0.316222\pi$
$557$			39.5507i			1.67582i	−0.545810	+	0.837909i	$0.683778\pi$
$558$	−0.223072	+	0.0724805i	−0.00944340	+	0.00306835i
$559$	−17.0385	−	12.3792i	−0.720654	−	0.523585i
$560$	7.70449	+	3.38954i	0.325574	+	0.143234i
$561$	11.2222	−	8.15342i	0.473803	−	0.344238i
$562$	3.87351	−	5.33143i	0.163394	−	0.224893i
$563$	−2.86902	+	3.94887i	−0.120915	+	0.166425i	−0.865184	−	0.501455i	$-0.832798\pi$
$563$	−2.86902	+	3.94887i	−0.120915	+	0.166425i	0.744269	+	0.667880i	$0.232798\pi$
$564$	−8.67879	+	6.30551i	−0.365443	+	0.265510i
$565$	22.3272	+	9.82270i	0.939313	+	0.413244i
$566$	1.41969	+	1.03147i	0.0596740	+	0.0433557i
$567$	6.45571	−	2.09759i	0.271114	−	0.0880904i
$568$			9.29963i			0.390204i
$569$	3.15196	+	9.70074i	0.132137	+	0.406676i	0.995134	−	0.0985334i	$-0.0314151\pi$
$569$	3.15196	+	9.70074i	0.132137	+	0.406676i	−0.862997	+	0.505210i	$0.831415\pi$
$570$	−1.76100	−	1.57158i	−0.0737603	−	0.0658261i
$571$	3.82386	−	11.7686i	0.160024	−	0.492502i	−0.838611	−	0.544730i	$-0.816632\pi$
$571$	3.82386	−	11.7686i	0.160024	−	0.492502i	0.998635	+	0.0522276i	$0.0166321\pi$
$572$	38.1247	+	12.3875i	1.59407	+	0.517946i
$573$	−19.1140	−	26.3081i	−0.798498	−	1.09904i
$574$	1.02517			0.0427897
$575$	−2.52517	−	1.42830i	−0.105307	−	0.0595641i
$576$	4.32714			0.180298
$577$	14.8406	+	20.4264i	0.617824	+	0.850362i	0.997192	−	0.0748839i	$-0.0238586\pi$
$577$	14.8406	+	20.4264i	0.617824	+	0.850362i	−0.379368	+	0.925246i	$0.623859\pi$
$578$	−1.67497	−	0.544229i	−0.0696694	−	0.0226370i
$579$	−10.7005	+	32.9329i	−0.444699	+	1.36864i
$580$	−1.96307	+	4.46210i	−0.0815120	+	0.185278i
$581$	3.67741	+	11.3179i	0.152565	+	0.469546i
$582$			3.07686i			0.127540i
$583$	2.13587	−	0.693987i	0.0884587	−	0.0287420i
$584$	−1.19207	−	0.866086i	−0.0493280	−	0.0358389i
$585$	−4.48443	−	7.68858i	−0.185408	−	0.317884i
$586$	−2.57761	+	1.87274i	−0.106480	+	0.0773623i
$587$	14.8953	−	20.5017i	0.614796	−	0.846194i	−0.382165	−	0.924094i	$-0.624821\pi$
$587$	14.8953	−	20.5017i	0.614796	−	0.846194i	0.996961	+	0.0778996i	$0.0248214\pi$
$588$	−1.78057	+	2.45074i	−0.0734294	+	0.101067i
$589$	5.35207	−	3.88850i	0.220528	−	0.160223i
$590$	−4.61439	+	1.00215i	−0.189971	+	0.0412580i
$591$	−15.5106	−	11.2691i	−0.638019	−	0.463548i
$592$	9.03769	−	2.93652i	0.371447	−	0.120690i
$593$		−	22.4503i		−	0.921924i	−0.887420	−	0.460962i	$-0.847505\pi$
$593$		−	22.4503i		−	0.921924i	0.887420	−	0.460962i	$-0.152495\pi$
$594$	1.07906	+	3.32102i	0.0442745	+	0.136263i
$595$	5.51229	−	3.21509i	0.225982	−	0.131806i
$596$	−12.2369	+	37.6614i	−0.501244	+	1.54267i
$597$	24.6419	+	8.00664i	1.00853	+	0.327690i
$598$	0.440895	+	0.606840i	0.0180295	+	0.0248155i
$599$	19.6210			0.801691			0.400845	−	0.916146i	$-0.368716\pi$
$599$	19.6210			0.801691			0.400845	+	0.916146i	$0.368716\pi$
$600$	−5.53709	+	2.52415i	−0.226051	+	0.103048i
$601$	−10.6423			−0.434109			−0.217055	−	0.976159i	$-0.569645\pi$
$601$	−10.6423			−0.434109			−0.217055	+	0.976159i	$0.569645\pi$
$602$	0.378738	+	0.521288i	0.0154362	+	0.0212461i
$603$	−8.87931	−	2.88506i	−0.361593	−	0.117489i
$604$	7.18904	−	22.1256i	0.292518	−	0.900278i
$605$	−2.45855	−	0.247423i	−0.0999542	−	0.0100592i
$606$	1.76683	+	5.43774i	0.0717726	+	0.220893i
$607$		−	0.0394412i		−	0.00160087i	−1.00000		0.000800435i	$-0.999745\pi$
$607$		−	0.0394412i		−	0.00160087i	1.00000		0.000800435i	$-0.000254786\pi$
$608$	7.59167	−	2.46668i	0.307883	−	0.100037i
$609$	−1.39015	−	1.01000i	−0.0563316	−	0.0409273i
$610$	0.380247	−	3.77837i	0.0153957	−	0.152982i
$611$	−18.6233	+	13.5306i	−0.753418	+	0.547390i
$612$	2.01377	−	2.77172i	0.0814020	−	0.112040i
$613$	−7.98031	+	10.9840i	−0.322322	+	0.443638i	−0.939174	−	0.343441i	$-0.888407\pi$
$613$	−7.98031	+	10.9840i	−0.322322	+	0.443638i	0.616853	+	0.787079i	$0.288407\pi$
$614$	−2.23963	+	1.62719i	−0.0903843	+	0.0656680i
$615$	11.8591	−	13.2885i	0.478205	−	0.535844i
$616$	−2.00443	−	1.45631i	−0.0807609	−	0.0586762i
$617$	40.6595	−	13.2111i	1.63689	−	0.531858i	0.661050	−	0.750342i	$-0.270111\pi$
$617$	40.6595	−	13.2111i	1.63689	−	0.531858i	0.975840	+	0.218484i	$0.0701112\pi$
$618$			2.09655i			0.0843356i
$619$	0.536195	+	1.65024i	0.0215515	+	0.0663287i	0.961254	−	0.275665i	$-0.0888979\pi$
$619$	0.536195	+	1.65024i	0.0215515	+	0.0663287i	−0.939702	+	0.341993i	$0.888898\pi$
$620$	−1.79186	−	8.25054i	−0.0719626	−	0.331350i
$621$	1.00082	−	3.08020i	0.0401614	−	0.123604i
$622$	−4.00540	−	1.30143i	−0.160602	−	0.0521827i
$623$	9.84885	+	13.5558i	0.394586	+	0.543101i
$624$	−37.8095			−1.51359
$625$	16.3972	−	18.8714i	0.655889	−	0.754858i
$626$	2.36678			0.0945954
$627$	−9.81350	−	13.5071i	−0.391913	−	0.539423i
$628$	−30.9131	−	10.0443i	−1.23357	−	0.400810i
$629$	2.22630	−	6.85186i	0.0887685	−	0.273201i
$630$	0.0577945	+	0.266113i	0.00230259	+	0.0106022i
$631$	3.77123	+	11.6066i	0.150130	+	0.462053i	0.997635	−	0.0687345i	$-0.0218961\pi$
$631$	3.77123	+	11.6066i	0.150130	+	0.462053i	−0.847505	+	0.530788i	$0.821896\pi$
$632$			6.68384i			0.265869i
$633$	13.5081	−	4.38906i	0.536900	−	0.174450i
$634$	−2.54415	−	1.84843i	−0.101041	−	0.0734105i
$635$	−18.5408	+	20.7756i	−0.735771	+	0.824455i
$636$	−1.74968	+	1.27122i	−0.0693795	+	0.0504071i
$637$	−3.82082	+	5.25890i	−0.151386	+	0.208365i
$638$	0.408909	−	0.562815i	0.0161889	−	0.0222821i
$639$	5.84929	−	4.24976i	0.231394	−	0.168118i
$640$	1.35530	−	13.4672i	0.0535731	−	0.532336i
$641$	5.04063	+	3.66223i	0.199093	+	0.144650i	0.682865	−	0.730544i	$-0.260734\pi$
$641$	5.04063	+	3.66223i	0.199093	+	0.144650i	−0.483772	+	0.875194i	$0.660734\pi$
$642$	−3.28226	+	1.06647i	−0.129541	+	0.0420903i
$643$		−	11.8383i		−	0.466857i	−0.972374	−	0.233429i	$-0.925005\pi$
$643$		−	11.8383i		−	0.466857i	0.972374	−	0.233429i	$-0.0749945\pi$
$644$	0.351507	+	1.08183i	0.0138513	+	0.0426300i
$645$	11.1383	+	1.12093i	0.438570	+	0.0441367i
$646$	0.602433	−	1.85410i	0.0237024	−	0.0729485i
$647$	3.85100	+	1.25127i	0.151398	+	0.0491923i	0.383736	−	0.923443i	$-0.374637\pi$
$647$	3.85100	+	1.25127i	0.151398	+	0.0491923i	−0.232337	+	0.972635i	$0.574637\pi$
$648$	−3.14256	−	4.32536i	−0.123451	−	0.169916i
$649$	−33.4011			−1.31111
$650$	−5.88154	+	2.68117i	−0.230693	+	0.105164i
$651$	2.97601			0.116639
$652$	−22.2666	−	30.6473i	−0.872027	−	1.20024i
$653$	−20.3561	−	6.61410i	−0.796596	−	0.258830i	−0.117685	−	0.993051i	$-0.537547\pi$
$653$	−20.3561	−	6.61410i	−0.796596	−	0.258830i	−0.678910	+	0.734221i	$0.737547\pi$
$654$	1.71381	−	5.27455i	0.0670151	−	0.206251i
$655$	4.80712	−	2.80379i	0.187830	−	0.109553i
$656$	5.99617	+	18.4543i	0.234111	+	0.720520i
$657$			1.14557i			0.0446930i
$658$	0.669808	−	0.217634i	0.0261118	−	0.00848425i
$659$	12.3162	+	8.94823i	0.479770	+	0.348573i	0.801237	−	0.598348i	$-0.204176\pi$
$659$	12.3162	+	8.94823i	0.479770	+	0.348573i	−0.321467	+	0.946921i	$0.604176\pi$
$660$	−20.8221	+	4.52214i	−0.810497	+	0.176024i
$661$	10.1057	−	7.34222i	0.393066	−	0.285579i	−0.373645	−	0.927572i	$-0.621892\pi$
$661$	10.1057	−	7.34222i	0.393066	−	0.285579i	0.766711	+	0.641993i	$0.221892\pi$
$662$	−0.0584713	+	0.0804788i	−0.00227255	+	0.00312790i
$663$	−16.8489	+	23.1905i	−0.654356	+	0.900644i
$664$	7.58306	−	5.50941i	0.294280	−	0.213807i
$665$	−3.86969	−	6.63462i	−0.150060	−	0.257279i
$666$	0.248725	+	0.180709i	0.00963788	+	0.00700233i
$667$	−0.613651	+	0.199387i	−0.0237607	+	0.00772031i
$668$			3.00411i			0.116233i
$669$	−8.74731	−	26.9215i	−0.338191	−	1.04084i
$670$	−2.73030	+	6.20602i	−0.105481	+	0.239760i
$671$	8.30070	−	25.5469i	0.320445	−	0.986228i
$672$	3.41513	+	1.10964i	0.131742	+	0.0428054i
$673$	9.61769	+	13.2376i	0.370735	+	0.510273i	0.953100	−	0.302654i	$-0.0978727\pi$
$673$	9.61769	+	13.2376i	0.370735	+	0.510273i	−0.582366	+	0.812927i	$0.697873\pi$
$674$	−3.19188			−0.122947
$675$	24.2924	+	13.7403i	0.935014	+	0.528866i
$676$	−57.3524			−2.20586
$677$	−13.0905	−	18.0175i	−0.503109	−	0.692470i	0.479630	−	0.877471i	$-0.340771\pi$
$677$	−13.0905	−	18.0175i	−0.503109	−	0.692470i	−0.982738	+	0.185001i	$0.940771\pi$
$678$	3.18818	+	1.03590i	0.122441	+	0.0397836i
$679$	−3.09402	+	9.52242i	−0.118738	+	0.365437i
$680$	−3.75004	−	3.34666i	−0.143807	−	0.128339i
$681$	8.21785	+	25.2919i	0.314909	+	0.969189i
$682$			1.20487i			0.0461368i
$683$	−9.62312	+	3.12674i	−0.368219	+	0.119641i	−0.487281	−	0.873245i	$-0.662011\pi$
$683$	−9.62312	+	3.12674i	−0.368219	+	0.119641i	0.119062	+	0.992887i	$0.462011\pi$
$684$	−3.33606	−	2.42379i	−0.127557	−	0.0926759i
$685$	−20.6873	−	9.10122i	−0.790419	−	0.347740i
$686$	0.160894	−	0.116896i	0.00614297	−	0.00446313i
$687$	−2.13886	+	2.94389i	−0.0816027	+	0.112316i
$688$	−7.16861	+	9.86674i	−0.273301	+	0.376166i
$689$	−3.75454	+	2.72784i	−0.143037	+	0.103922i
$690$	−0.364946	−	0.160555i	−0.0138932	−	0.00611224i
$691$	−10.9145	−	7.92983i	−0.415206	−	0.301665i	0.360500	−	0.932759i	$-0.382606\pi$
$691$	−10.9145	−	7.92983i	−0.415206	−	0.301665i	−0.775706	+	0.631094i	$0.782606\pi$
$692$	8.62055	−	2.80099i	0.327704	−	0.106477i
$693$			1.92625i			0.0731723i
$694$	−1.82677	−	5.62223i	−0.0693434	−	0.213417i
$695$	−30.7050	−	27.4021i	−1.16471	−	1.03942i
$696$	−0.418227	+	1.28717i	−0.0158529	+	0.0487901i
$697$	13.9910	+	4.54595i	0.529947	+	0.172190i
$698$	−0.557890	−	0.767870i	−0.0211165	−	0.0290643i
$699$	−2.14944			−0.0812991
$700$	−9.73911	+	1.11074i	−0.368104	+	0.0419822i
$701$	12.7883			0.483007			0.241503	−	0.970400i	$-0.422360\pi$
$701$	12.7883			0.483007			0.241503	+	0.970400i	$0.422360\pi$
$702$	−4.24145	−	5.83785i	−0.160083	−	0.220336i
$703$	−8.24693	−	2.67959i	−0.311039	−	0.101063i
$704$	6.86885	−	21.1401i	0.258879	−	0.796749i
$705$	4.92728	−	11.1998i	0.185572	−	0.421809i
$706$	−0.914785	−	2.81542i	−0.0344284	−	0.105960i
$707$			18.6057i			0.699739i
$708$	30.5915	−	9.93978i	1.14970	−	0.373560i
$709$	−20.2329	−	14.7001i	−0.759864	−	0.552073i	0.139005	−	0.990292i	$-0.455610\pi$
$709$	−20.2329	−	14.7001i	−0.759864	−	0.552073i	−0.898868	+	0.438218i	$0.855610\pi$
$710$	−2.64536	−	4.53548i	−0.0992785	−	0.170214i
$711$	4.20401	−	3.05439i	0.157663	−	0.114549i
$712$	7.75733	−	10.6771i	0.290718	−	0.400140i
$713$	0.656848	−	0.904074i	0.0245992	−	0.0338578i
$714$	0.709504	−	0.515485i	0.0265525	−	0.0192915i
$715$	−44.6808	+	9.70380i	−1.67097	+	0.362902i
$716$	2.92019	+	2.12164i	0.109133	+	0.0792895i
$717$	−15.4352	+	5.01521i	−0.576439	+	0.187297i
$718$		−	0.302067i		−	0.0112731i
$719$	−2.24894	−	6.92151i	−0.0838712	−	0.258129i	0.900323	−	0.435223i	$-0.143330\pi$
$719$	−2.24894	−	6.92151i	−0.0838712	−	0.258129i	−0.984194	+	0.177094i	$0.943330\pi$
$720$	−4.45233	+	2.59686i	−0.165929	+	0.0967792i
$721$	−2.10824	+	6.48850i	−0.0785150	+	0.241644i
$722$	1.36210	+	0.442574i	0.0506922	+	0.0164709i
$723$	11.6202	+	15.9938i	0.432158	+	0.594815i
$724$	−4.11520			−0.152940
$725$	−0.630054	−	5.52437i	−0.0233996	−	0.205170i
$726$	−0.339585			−0.0126032
$727$	−13.6646	−	18.8077i	−0.506792	−	0.697540i	0.476582	−	0.879130i	$-0.341876\pi$
$727$	−13.6646	−	18.8077i	−0.506792	−	0.697540i	−0.983374	+	0.181590i	$0.941876\pi$
$728$	4.86935	+	1.58215i	0.180470	+	0.0586383i
$729$	−9.28031	+	28.5618i	−0.343715	+	1.05785i
$730$	0.827742	+	0.0833021i	0.0306361	+	0.00308315i
$731$	2.85726	+	8.79374i	0.105680	+	0.325248i
$732$			25.8681i			0.956114i
$733$	−33.4330	+	10.8631i	−1.23488	+	0.401236i	−0.852479	−	0.522761i	$-0.824902\pi$
$733$	−33.4330	+	10.8631i	−1.23488	+	0.401236i	−0.382399	+	0.923997i	$0.624902\pi$
$734$	−0.180386	−	0.131058i	−0.00665815	−	0.00483743i
$735$	0.345973	−	3.43781i	0.0127614	−	0.126805i
$736$	1.09086	−	0.792560i	0.0402098	−	0.0292141i
$737$	−28.1898	+	38.7999i	−1.03838	+	1.42921i
$738$	−0.368995	+	0.507878i	−0.0135829	+	0.0186952i
$739$	14.1676	−	10.2934i	0.521164	−	0.378648i	−0.295878	−	0.955226i	$-0.595612\pi$
$739$	14.1676	−	10.2934i	0.521164	−	0.378648i	0.817042	+	0.576578i	$0.195612\pi$
$740$	−7.36855	+	8.25670i	−0.270873	+	0.303522i
$741$	27.9122	+	20.2794i	1.02538	+	0.744982i
$742$	0.135036	−	0.0438760i	0.00495734	−	0.00161074i
$743$		−	12.5993i		−	0.462223i	−0.972927	−	0.231111i	$-0.925764\pi$
$743$		−	12.5993i		−	0.462223i	0.972927	−	0.231111i	$-0.0742361\pi$
$744$	−0.724342	−	2.22930i	−0.0265557	−	0.0817299i
$745$	−9.58589	−	44.1379i	−0.351200	−	1.61709i
$746$	1.27230	−	3.91574i	0.0465822	−	0.143365i
$747$	−6.93063	−	2.25190i	−0.253579	−	0.0823927i
$748$	−10.3445	−	14.2380i	−0.378234	−	0.520594i
$749$	−11.2305			−0.410355
$750$	1.98245	−	2.80611i	0.0723890	−	0.102465i
$751$	9.86802			0.360089			0.180045	−	0.983658i	$-0.442376\pi$
$751$	9.86802			0.360089			0.180045	+	0.983658i	$0.442376\pi$
$752$	7.83536	+	10.7845i	0.285726	+	0.393269i
$753$	−18.6676	−	6.06546i	−0.680284	−	0.221038i
$754$	−0.444244	+	1.36724i	−0.0161784	+	0.0497920i
$755$	5.63159	+	25.9305i	0.204954	+	0.943706i
$756$	−3.38153	−	10.4073i	−0.122985	−	0.378509i
$757$			37.0730i			1.34744i	0.738986	+	0.673721i	$0.235305\pi$
$757$			37.0730i			1.34744i	−0.738986	+	0.673721i	$0.764695\pi$
$758$	−2.10211	+	0.683017i	−0.0763521	+	0.0248083i
$759$	−2.28163	−	1.65770i	−0.0828180	−	0.0601708i
$760$	−4.02806	+	4.51357i	−0.146113	+	0.163724i
$761$	23.8906	−	17.3575i	0.866032	−	0.629209i	−0.0634873	−	0.997983i	$-0.520222\pi$
$761$	23.8906	−	17.3575i	0.866032	−	0.629209i	0.929519	+	0.368774i	$0.120222\pi$
$762$	−2.24937	+	3.09599i	−0.0814860	+	0.112156i
$763$	10.6079	−	14.6006i	0.384033	−	0.528576i
$764$	−33.3781	+	24.2506i	−1.20758	+	0.877355i
$765$	−0.391286	+	3.88806i	−0.0141470	+	0.140573i
$766$	3.52231	+	2.55911i	0.127266	+	0.0924644i
$767$	65.6445	−	21.3292i	2.37029	−	0.770153i
$768$			19.9777i			0.720882i
$769$	7.81095	+	24.0396i	0.281670	+	0.866891i	0.987377	+	0.158387i	$0.0506295\pi$
$769$	7.81095	+	24.0396i	0.281670	+	0.866891i	−0.705707	+	0.708504i	$0.749371\pi$
$770$	1.39183	+	0.140071i	0.0501581	+	0.00504779i
$771$	9.65105	−	29.7029i	0.347574	−	1.06972i
$772$	41.7831	+	13.5762i	1.50381	+	0.488617i
$773$	−2.51909	−	3.46722i	−0.0906052	−	0.124707i	0.761308	−	0.648391i	$-0.224558\pi$
$773$	−2.51909	−	3.46722i	−0.0906052	−	0.124707i	−0.851913	+	0.523683i	$0.824558\pi$
$774$	−0.394572			−0.0141826
$775$	6.50664	+	7.09914i	0.233725	+	0.255009i
$776$	7.88620			0.283098
$777$	−2.29285	−	3.15583i	−0.0822554	−	0.113215i
$778$	−6.15259	−	1.99910i	−0.220581	−	0.0716711i
$779$	5.47153	−	16.8396i	0.196038	−	0.603343i
$780$	38.0346	−	22.1840i	1.36186	−	0.794315i
$781$	−11.4770	−	35.3226i	−0.410679	−	1.26394i
$782$		−	0.329313i		−	0.0117762i
$783$	5.90338	−	1.91812i	0.210970	−	0.0685482i
$784$	3.04535	+	2.21257i	0.108762	+	0.0790205i
$785$	36.2291	−	7.86825i	1.29307	−	0.280830i
$786$	0.618739	−	0.449540i	0.0220697	−	0.0160346i
$787$	−26.8947	+	37.0174i	−0.958693	+	1.31953i	−0.0111376	+	0.999938i	$0.503545\pi$
$787$	−26.8947	+	37.0174i	−0.958693	+	1.31953i	−0.947556	+	0.319590i	$0.896455\pi$
$788$	−14.2975	+	19.6788i	−0.509327	+	0.701028i
$789$	−2.00216	+	1.45466i	−0.0712789	+	0.0517872i
$790$	−1.90127	−	3.25974i	−0.0676443	−	0.115977i
$791$	8.82526	+	6.41192i	0.313790	+	0.227982i
$792$	1.44293	−	0.468838i	0.0512724	−	0.0166594i
$793$			55.5089i			1.97118i
$794$	0.511127	+	1.57309i	0.0181392	+	0.0558268i
$795$	0.993362	−	2.25793i	0.0352309	−	0.0800806i
$796$	10.1583	−	31.2641i	0.360052	−	1.10813i
$797$	−25.3625	−	8.24078i	−0.898386	−	0.291903i	−0.176816	−	0.984244i	$-0.556580\pi$
$797$	−25.3625	−	8.24078i	−0.898386	−	0.291903i	−0.721571	+	0.692341i	$0.756580\pi$
$798$	−0.620440	−	0.853962i	−0.0219633	−	0.0302299i
$799$	10.1063			0.357535
$800$	4.81971	+	10.5727i	0.170403	+	0.373803i
$801$	−10.2606			−0.362541
$802$	0.0401284	+	0.0552320i	0.00141698	+	0.00195031i
$803$	5.59666	+	1.81846i	0.197502	+	0.0641722i
$804$	14.2721	−	43.9251i	0.503339	−	1.54912i
$805$	−0.968000	−	0.863875i	−0.0341175	−	0.0304476i
$806$	−0.769400	−	2.36797i	−0.0271010	−	0.0834082i
$807$		−	30.4377i		−	1.07146i
$808$	13.9373	−	4.52850i	0.490313	−	0.159312i
$809$	−7.26466	−	5.27808i	−0.255412	−	0.185568i	0.452710	−	0.891658i	$-0.350457\pi$
$809$	−7.26466	−	5.27808i	−0.255412	−	0.185568i	−0.708122	+	0.706090i	$0.750457\pi$
$810$	2.76303	+	1.21557i	0.0970828	+	0.0427109i
$811$	25.2348	−	18.3341i	0.886113	−	0.643799i	−0.0487484	−	0.998811i	$-0.515523\pi$
$811$	25.2348	−	18.3341i	0.886113	−	0.643799i	0.934862	+	0.355012i	$0.115523\pi$
$812$	−1.28142	+	1.76373i	−0.0449692	+	0.0618948i
$813$	−24.2159	+	33.3304i	−0.849290	+	1.16895i
$814$	1.27767	−	0.928282i	0.0447823	−	0.0325363i
$815$	39.5498	+	17.3997i	1.38537	+	0.609483i
$816$	13.4292	+	9.75690i	0.470117	+	0.341560i
$817$	10.5842	−	3.43901i	0.370294	−	0.120316i
$818$		−	3.36088i		−	0.117510i
$819$	−1.23006	−	3.78574i	−0.0429818	−	0.132284i
$820$	−16.8596	−	15.0460i	−0.588762	−	0.525431i
$821$	6.28513	−	19.3437i	0.219353	−	0.675098i	−0.779463	−	0.626448i	$-0.784508\pi$
$821$	6.28513	−	19.3437i	0.219353	−	0.675098i	0.998816	−	0.0486501i	$-0.0154919\pi$
$822$	−2.95401	−	0.959815i	−0.103033	−	0.0334774i
$823$	8.21599	+	11.3083i	0.286391	+	0.394184i	0.927838	−	0.372984i	$-0.121665\pi$
$823$	8.21599	+	11.3083i	0.286391	+	0.394184i	−0.641446	+	0.767168i	$0.721665\pi$
$824$	5.37359			0.187198
$825$	17.9163	−	16.4209i	0.623764	−	0.571704i
$826$	−2.11172			−0.0734762
$827$	20.1073	+	27.6754i	0.699200	+	0.962367i	0.999962	+	0.00866736i	$0.00275894\pi$
$827$	20.1073	+	27.6754i	0.699200	+	0.962367i	−0.300762	+	0.953699i	$0.597241\pi$
$828$	−0.662468	−	0.215249i	−0.0230223	−	0.00748041i
$829$	−13.7578	+	42.3423i	−0.477829	+	1.47061i	0.364274	+	0.931292i	$0.381317\pi$
$829$	−13.7578	+	42.3423i	−0.477829	+	1.47061i	−0.842103	+	0.539316i	$0.818683\pi$
$830$	−2.13110	+	4.84403i	−0.0739715	+	0.168139i
$831$	1.62260	+	4.99385i	0.0562874	+	0.173235i
$832$			45.9338i			1.59247i
$833$	2.71417	−	0.881886i	0.0940403	−	0.0305555i
$834$	−4.57567	−	3.32442i	−0.158442	−	0.115115i
$835$	−1.72633	−	2.95980i	−0.0597421	−	0.102428i
$836$	−17.1370	+	12.4507i	−0.592694	+	0.430618i
$837$	−6.31894	+	8.69727i	−0.218414	+	0.300622i
$838$	−3.20572	+	4.41229i	−0.110740	+	0.152420i
$839$	−28.4507	+	20.6706i	−0.982227	+	0.713630i	−0.958205	−	0.286082i	$-0.907647\pi$
$839$	−28.4507	+	20.6706i	−0.982227	+	0.713630i	−0.0240218	+	0.999711i	$0.507647\pi$
$840$	−2.65943	+	0.577576i	−0.0917590	+	0.0199283i
$841$	22.4610	+	16.3189i	0.774519	+	0.562721i
$842$	2.35386	−	0.764817i	0.0811195	−	0.0263573i
$843$		−	51.2021i		−	1.76349i
$844$	−5.56856	−	17.1383i	−0.191678	−	0.589923i
$845$	56.5064	−	32.9578i	1.94388	−	1.13378i
$846$	−0.133270	+	0.410163i	−0.00458192	+	0.0141017i
$847$	−1.05096	−	0.341479i	−0.0361116	−	0.0117334i
$848$	1.57965	+	2.17420i	0.0542452	+	0.0746622i
$849$	13.6345			0.467933
$850$	2.78090	+	0.565454i	0.0953840	+	0.0193949i
$851$	−1.46477			−0.0502116
$852$	21.0231	+	28.9359i	0.720241	+	0.991327i
$853$	17.2362	+	5.60038i	0.590156	+	0.191753i	0.588845	−	0.808246i	$-0.299583\pi$
$853$	17.2362	+	5.60038i	0.590156	+	0.191753i	0.00131102	+	0.999999i	$0.499583\pi$
$854$	0.524796	−	1.61515i	0.0179581	−	0.0552695i
$855$	4.67969	+	0.470954i	0.160042	+	0.0161063i
$856$	2.73344	+	8.41266i	0.0934271	+	0.287539i
$857$		−	34.1832i		−	1.16767i	−0.811871	−	0.583837i	$-0.801551\pi$
$857$		−	34.1832i		−	1.16767i	0.811871	−	0.583837i	$-0.198449\pi$
$858$	−5.97610	+	1.94175i	−0.204021	+	0.0662903i
$859$	−16.6058	−	12.0648i	−0.566584	−	0.411647i	0.267279	−	0.963619i	$-0.413875\pi$
$859$	−16.6058	−	12.0648i	−0.566584	−	0.411647i	−0.833863	+	0.551972i	$0.813875\pi$
$860$	1.42217	−	14.1315i	0.0484954	−	0.481881i
$861$	6.44398	−	4.68183i	0.219610	−	0.159556i
$862$	2.11366	−	2.90921i	0.0719916	−	0.0990880i
$863$	−17.2590	+	23.7550i	−0.587504	+	0.808630i	−0.994493	−	0.104803i	$-0.966579\pi$
$863$	−17.2590	+	23.7550i	−0.587504	+	0.808630i	0.406989	+	0.913433i	$0.366579\pi$
$864$	−10.4942	+	7.62449i	−0.357020	+	0.259391i
$865$	−6.88379	+	7.71351i	−0.234056	+	0.262267i
$866$	2.55266	+	1.85462i	0.0867430	+	0.0630225i
$867$	−13.0139	+	4.22848i	−0.441976	+	0.143607i
$868$		−	3.77577i		−	0.128158i
$869$	−8.24876	−	25.3871i	−0.279820	−	0.861197i
$870$	−0.162175	−	0.746729i	−0.00549824	−	0.0253165i
$871$	30.6257	−	94.2563i	1.03771	−	3.19375i
$872$	−13.5190	−	4.39260i	−0.457812	−	0.148752i
$873$	−3.60385	−	4.96027i	−0.121972	−	0.167880i
$874$	−0.396363			−0.0134072
$875$	8.95716	−	6.69099i	0.302807	−	0.226197i
$876$	−5.66703			−0.191471
$877$	−17.0313	−	23.4416i	−0.575108	−	0.791568i	0.418041	−	0.908428i	$-0.362717\pi$
$877$	−17.0313	−	23.4416i	−0.575108	−	0.791568i	−0.993148	+	0.116861i	$0.962717\pi$
$878$	3.93041	+	1.27707i	0.132645	+	0.0430990i
$879$	−7.64969	+	23.5433i	−0.258017	+	0.794096i
$880$	5.61931	+	25.8739i	0.189427	+	0.872211i
$881$	15.8830	+	48.8829i	0.535112	+	1.64691i	0.743407	+	0.668840i	$0.233209\pi$
$881$	15.8830	+	48.8829i	0.535112	+	1.64691i	−0.208294	+	0.978066i	$0.566791\pi$
$882$			0.121784i			0.00410067i
$883$	23.5445	−	7.65007i	0.792335	−	0.257445i	0.115237	−	0.993338i	$-0.463237\pi$
$883$	23.5445	−	7.65007i	0.792335	−	0.257445i	0.677098	+	0.735893i	$0.263237\pi$
$884$	29.4226	+	21.3768i	0.989588	+	0.718978i
$885$	−24.4283	+	27.3727i	−0.821149	+	0.920124i
$886$	2.75965	−	2.00500i	0.0927121	−	0.0673593i
$887$	−14.8148	+	20.3908i	−0.497433	+	0.684658i	−0.981737	−	0.190242i	$-0.939073\pi$
$887$	−14.8148	+	20.3908i	−0.497433	+	0.684658i	0.484304	+	0.874900i	$0.339073\pi$
$888$	−1.80593	+	2.48566i	−0.0606032	+	0.0834131i
$889$	−10.0747	+	7.31970i	−0.337895	+	0.245495i
$890$	−0.746117	+	7.41389i	−0.0250099	+	0.248514i
$891$	17.2744	+	12.5506i	0.578713	+	0.420460i
$892$	−34.1562	+	11.0980i	−1.14363	+	0.371589i
$893$		−	12.1640i		−	0.407052i
$894$	−1.91816	−	5.90348i	−0.0641528	−	0.197442i
$895$	−4.09633	−	0.412245i	−0.136925	−	0.0137798i
$896$	1.87052	−	5.75686i	0.0624896	−	0.192323i
$897$	5.54274	+	1.80095i	0.185067	+	0.0601319i
$898$	4.78709	+	6.58886i	0.159747	+	0.219873i
$899$	2.14175			0.0714314
$900$	2.95518	−	5.22464i	0.0985061	−	0.174155i
$901$	2.03747			0.0678781
$902$	1.89549	+	2.60891i	0.0631128	+	0.0868673i
$903$	4.76133	+	1.54705i	0.158447	+	0.0514826i
$904$	2.65509	−	8.17152i	0.0883069	−	0.271781i
$905$	4.05450	−	2.36482i	0.134776	−	0.0786094i
$906$	1.12689	+	3.46822i	0.0374385	+	0.115224i
$907$		−	9.04710i		−	0.300404i	−0.988655	−	0.150202i	$-0.952008\pi$
$907$		−	9.04710i		−	0.300404i	0.988655	−	0.150202i	$-0.0479924\pi$
$908$	32.0888	−	10.4263i	1.06490	−	0.346008i
$909$	−9.21743	−	6.69685i	−0.305723	−	0.222121i
$910$	−2.82486	+	0.613504i	−0.0936432	+	0.0203375i
$911$	4.94024	−	3.58929i	0.163677	−	0.118919i	−0.502931	−	0.864326i	$-0.667745\pi$
$911$	4.94024	−	3.58929i	0.163677	−	0.118919i	0.666609	+	0.745408i	$0.267745\pi$
$912$	11.7435	−	16.1635i	0.388865	−	0.535226i
$913$	−22.0032	+	30.2848i	−0.728199	+	1.00228i
$914$	0.345998	−	0.251382i	0.0114446	−	0.00831498i
$915$	−14.8653	−	25.4866i	−0.491430	−	0.842560i
$916$	3.73502	+	2.71365i	0.123409	+	0.0896615i
$917$	2.36695	−	0.769069i	0.0781636	−	0.0253969i
$918$			3.16802i			0.104560i
$919$	0.955985	+	2.94222i	0.0315350	+	0.0970548i	0.965585	−	0.260087i	$-0.0837513\pi$
$919$	0.955985	+	2.94222i	0.0315350	+	0.0970548i	−0.934050	+	0.357142i	$0.883751\pi$
$920$	−0.411514	+	0.935380i	−0.0135672	+	0.0308386i
$921$	−6.64666	+	20.4563i	−0.219015	+	0.674059i
$922$	3.54353	+	1.15136i	0.116700	+	0.0379182i
$923$	45.1123	+	62.0918i	1.48489	+	2.04378i
$924$	−9.52899			−0.313481
$925$	2.51511	−	12.3693i	0.0826962	−	0.406700i
$926$	1.86285			0.0612172
$927$	−2.45563	−	3.37989i	−0.0806535	−	0.111010i
$928$	2.45777	+	0.798579i	0.0806804	+	0.0262147i
$929$	2.76439	−	8.50791i	0.0906966	−	0.279135i	−0.895412	−	0.445239i	$-0.853119\pi$
$929$	2.76439	−	8.50791i	0.0906966	−	0.279135i	0.986108	+	0.166104i	$0.0531187\pi$
$930$	0.987407	+	0.881194i	0.0323783	+	0.0288955i
$931$	−1.06144	−	3.26678i	−0.0347874	−	0.107064i
$932$			2.72706i			0.0893280i
$933$	−31.1206	+	10.1117i	−1.01884	+	0.331042i
$934$	−2.76804	−	2.01110i	−0.0905729	−	0.0658051i
$935$	18.3739	+	8.08347i	0.600891	+	0.264358i
$936$	−2.53646	+	1.84285i	−0.0829069	+	0.0602354i
$937$	10.2773	−	14.1455i	0.335745	−	0.462113i	−0.607448	−	0.794360i	$-0.707807\pi$
$937$	10.2773	−	14.1455i	0.335745	−	0.462113i	0.943193	+	0.332247i	$0.107807\pi$
$938$	−1.78225	+	2.45305i	−0.0581924	+	0.0800949i
$939$	14.8770	−	10.8088i	0.485494	−	0.352732i
$940$	−14.2096	−	6.25141i	−0.463466	−	0.203899i
$941$	−35.2364	−	25.6007i	−1.14867	−	0.834561i	−0.160370	−	0.987057i	$-0.551269\pi$
$941$	−35.2364	−	25.6007i	−1.14867	−	0.834561i	−0.988304	+	0.152496i	$0.951269\pi$
$942$	4.84567	−	1.57445i	0.157880	−	0.0512985i
$943$		−	2.99095i		−	0.0973987i
$944$	−12.3514	−	38.0137i	−0.402003	−	1.23724i
$945$	9.31225	+	8.31056i	0.302927	+	0.270342i
$946$	−0.626338	+	1.92767i	−0.0203640	+	0.0626740i
$947$	−49.5152	−	16.0885i	−1.60903	−	0.522805i	−0.639711	−	0.768616i	$-0.720946\pi$
$947$	−49.5152	−	16.0885i	−1.60903	−	0.522805i	−0.969318	+	0.245811i	$0.920946\pi$
$948$	15.1098	+	20.7968i	0.490742	+	0.675449i
$949$	−12.1606			−0.394748
$950$	0.680583	−	3.34710i	0.0220810	−	0.108594i
$951$	−24.4335			−0.792312
$952$	−1.32122	−	1.81851i	−0.0428210	−	0.0589381i
$953$	−13.3412	−	4.33482i	−0.432164	−	0.140419i	0.0848534	−	0.996393i	$-0.472958\pi$
$953$	−13.3412	−	4.33482i	−0.432164	−	0.140419i	−0.517018	+	0.855975i	$0.672958\pi$
$954$	−0.0268679	+	0.0826908i	−0.000869880	+	0.00267721i
$955$	18.9500	−	43.0737i	0.613208	−	1.39383i
$956$	6.36297	+	19.5832i	0.205793	+	0.633367i
$957$		−	5.40518i		−	0.174725i
$958$	0.301911	−	0.0980967i	0.00975429	−	0.00316936i
$959$	−8.17703	−	5.94096i	−0.264050	−	0.191844i
$960$	−12.3010	−	21.0902i	−0.397014	−	0.680683i
$961$	22.0786	−	16.0410i	0.712212	−	0.517453i
$962$	−1.91827	+	2.64028i	−0.0618477	+	0.0851260i
$963$	4.04227	−	5.56371i	0.130260	−	0.179288i
$964$	20.2919	−	14.7429i	0.653557	−	0.474837i
$965$	−48.9684	+	10.6350i	−1.57635	+	0.342352i
$966$	−0.144252	−	0.104805i	−0.00464122	−	0.00337205i
$967$	17.9011	−	5.81641i	0.575659	−	0.187043i	−0.00669587	−	0.999978i	$-0.502131\pi$
$967$	17.9011	−	5.81641i	0.575659	−	0.187043i	0.582355	+	0.812935i	$0.302131\pi$
$968$			0.870380i			0.0279751i
$969$	−4.68070	−	14.4057i	−0.150366	−	0.462778i
$970$	−3.84614	+	2.24329i	−0.123492	+	0.0720278i
$971$	5.79293	−	17.8288i	0.185904	−	0.572153i	−0.814059	−	0.580782i	$-0.802747\pi$
$971$	5.79293	−	17.8288i	0.185904	−	0.572153i	0.999963	+	0.00862896i	$0.00274672\pi$
$972$	11.6657	+	3.79040i	0.374176	+	0.121577i
$973$	−10.8180	−	14.8897i	−0.346810	−	0.477343i
$974$	7.34544			0.235363
$975$	−24.7255	+	43.7136i	−0.791848	+	1.39996i
$976$	32.1443			1.02891
$977$	26.7550	+	36.8251i	0.855968	+	1.17814i	0.982516	+	0.186178i	$0.0596101\pi$
$977$	26.7550	+	36.8251i	0.855968	+	1.17814i	−0.126548	+	0.991960i	$0.540390\pi$
$978$	5.64745	+	1.83497i	0.180586	+	0.0586758i
$979$	−16.2876	+	50.1280i	−0.520553	+	1.60210i
$980$	−4.36166	−	0.438948i	−0.139328	−	0.0140217i
$981$	3.41508	+	10.5105i	0.109035	+	0.335576i
$982$		−	2.83129i		−	0.0903501i
$983$	−10.8614	+	3.52908i	−0.346424	+	0.112560i	−0.477061	−	0.878870i	$-0.658298\pi$
$983$	−10.8614	+	3.52908i	−0.346424	+	0.112560i	0.130637	+	0.991430i	$0.458298\pi$
$984$	−5.07553	−	3.68759i	−0.161802	−	0.117556i
$985$	2.77807	−	27.6047i	0.0885167	−	0.879557i
$986$	0.510610	−	0.370980i	0.0162611	−	0.0118144i
$987$	3.21636	−	4.42694i	0.102378	−	0.140911i
$988$	25.7292	−	35.4132i	0.818554	−	1.12664i
$989$	1.52087	−	1.10497i	0.0483608	−	0.0351362i
$990$	−0.570362	+	0.639109i	−0.0181273	+	0.0203122i
$991$	−7.23921	−	5.25959i	−0.229961	−	0.167076i	0.466838	−	0.884343i	$-0.345393\pi$
$991$	−7.23921	−	5.25959i	−0.229961	−	0.167076i	−0.696799	+	0.717266i	$0.745393\pi$
$992$	−4.25670	+	1.38309i	−0.135150	+	0.0439130i
$993$			0.772905i			0.0245274i
$994$	−0.725611	−	2.23320i	−0.0230150	−	0.0708328i
$995$	7.95758	+	36.6404i	0.252272	+	1.16158i
$996$	11.1399	−	34.2851i	0.352982	−	1.08637i
$997$	34.2425	+	11.1261i	1.08447	+	0.352366i	0.796108	−	0.605155i	$-0.206889\pi$
$997$	34.2425	+	11.1261i	1.08447	+	0.352366i	0.288363	+	0.957521i	$0.406889\pi$
$998$	−1.00867	−	1.38832i	−0.0319289	−	0.0439464i
$999$	14.0912			0.445825

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	175.2.n.a.64.8	✓	56
5.2	odd	4		875.2.h.d.176.8		56
5.3	odd	4		875.2.h.e.176.7		56
5.4	even	2		875.2.n.c.449.7		56
25.3	odd	20		4375.2.a.o.1.16		28
25.9	even	10	inner	175.2.n.a.134.8	yes	56
25.12	odd	20		875.2.h.d.701.8		56
25.13	odd	20		875.2.h.e.701.7		56
25.16	even	5		875.2.n.c.799.7		56
25.22	odd	20		4375.2.a.p.1.13		28

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
175.2.n.a.64.8	✓	56	1.1	even	1	trivial
175.2.n.a.134.8	yes	56	25.9	even	10	inner
875.2.h.d.176.8		56	5.2	odd	4
875.2.h.d.701.8		56	25.12	odd	20
875.2.h.e.176.7		56	5.3	odd	4
875.2.h.e.701.7		56	25.13	odd	20
875.2.n.c.449.7		56	5.4	even	2
875.2.n.c.799.7		56	25.16	even	5
4375.2.a.o.1.16		28	25.3	odd	20
4375.2.a.p.1.13		28	25.22	odd	20

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

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

\(f(q)\)	\(=\)	\(q+(0.116896 + 0.160894i) q^{2} +(1.46957 + 0.477493i) q^{3} +(0.605812 - 1.86450i) q^{4} +(0.474567 + 2.18513i) q^{5} +(0.0949619 + 0.292263i) q^{6} +1.00000i q^{7} +(0.749089 - 0.243394i) q^{8} +(-0.495409 - 0.359936i) q^{9} +O(q^{10})\)	\(q+(0.116896 + 0.160894i) q^{2} +(1.46957 + 0.477493i) q^{3} +(0.605812 - 1.86450i) q^{4} +(0.474567 + 2.18513i) q^{5} +(0.0949619 + 0.292263i) q^{6} +1.00000i q^{7} +(0.749089 - 0.243394i) q^{8} +(-0.495409 - 0.359936i) q^{9} +(-0.296099 + 0.331789i) q^{10} +(-2.54486 + 1.84895i) q^{11} +(1.78057 - 2.45074i) q^{12} +(3.82082 - 5.25890i) q^{13} +(-0.160894 + 0.116896i) q^{14} +(-0.345973 + 3.43781i) q^{15} +(-3.04535 - 2.21257i) q^{16} +(-2.71417 + 0.881886i) q^{17} -0.121784i q^{18} +(1.06144 + 3.26678i) q^{19} +(4.36166 + 0.438948i) q^{20} +(-0.477493 + 1.46957i) q^{21} +(-0.594971 - 0.193318i) q^{22} +(0.341048 + 0.469412i) q^{23} +1.21706 q^{24} +(-4.54957 + 2.07398i) q^{25} +1.29277 q^{26} +(-3.28091 - 4.51578i) q^{27} +(1.86450 + 0.605812i) q^{28} +(-0.343638 + 1.05761i) q^{29} +(-0.593566 + 0.346202i) q^{30} +(-0.595158 - 1.83171i) q^{31} -2.32390i q^{32} +(-4.62272 + 1.50201i) q^{33} +(-0.459166 - 0.333604i) q^{34} +(-2.18513 + 0.474567i) q^{35} +(-0.971225 + 0.705636i) q^{36} +(-1.48385 + 2.04235i) q^{37} +(-0.401527 + 0.552655i) q^{38} +(8.12605 - 5.90392i) q^{39} +(0.887339 + 1.52135i) q^{40} +(-4.17033 - 3.02992i) q^{41} +(-0.292263 + 0.0949619i) q^{42} -3.23994i q^{43} +(1.90566 + 5.86501i) q^{44} +(0.551401 - 1.25335i) q^{45} +(-0.0356584 + 0.109745i) q^{46} +(-3.36797 - 1.09432i) q^{47} +(-3.41887 - 4.70567i) q^{48} -1.00000 q^{49} +(-0.865520 - 0.489559i) q^{50} -4.40975 q^{51} +(-7.49052 - 10.3098i) q^{52} +(-0.678998 - 0.220620i) q^{53} +(0.343036 - 1.05576i) q^{54} +(-5.24790 - 4.68340i) q^{55} +(0.243394 + 0.749089i) q^{56} +5.30760i q^{57} +(-0.210333 + 0.0683414i) q^{58} +(8.59038 + 6.24127i) q^{59} +(6.20018 + 2.72773i) q^{60} +(-6.90849 + 5.01931i) q^{61} +(0.225139 - 0.309878i) q^{62} +(0.359936 - 0.495409i) q^{63} +(-5.71679 + 4.15349i) q^{64} +(13.3046 + 5.85327i) q^{65} +(-0.782044 - 0.568189i) q^{66} +(14.5002 - 4.71139i) q^{67} +5.59481i q^{68} +(0.277053 + 0.852682i) q^{69} +(-0.331789 - 0.296099i) q^{70} +(-3.64856 + 11.2291i) q^{71} +(-0.458712 - 0.149044i) q^{72} +(-1.09960 - 1.51347i) q^{73} -0.502059 q^{74} +(-7.67623 + 0.875474i) q^{75} +6.73394 q^{76} +(-1.84895 - 2.54486i) q^{77} +(1.89981 + 0.617287i) q^{78} +(-2.62230 + 8.07060i) q^{79} +(3.38954 - 7.70449i) q^{80} +(-2.09759 - 6.45571i) q^{81} -1.02517i q^{82} +(11.3179 - 3.67741i) q^{83} +(2.45074 + 1.78057i) q^{84} +(-3.21509 - 5.51229i) q^{85} +(0.521288 - 0.378738i) q^{86} +(-1.01000 + 1.39015i) q^{87} +(-1.45631 + 2.00443i) q^{88} +(13.5558 - 9.84885i) q^{89} +(0.266113 - 0.0577945i) q^{90} +(5.25890 + 3.82082i) q^{91} +(1.08183 - 0.351507i) q^{92} -2.97601i q^{93} +(-0.217634 - 0.669808i) q^{94} +(-6.63462 + 3.86969i) q^{95} +(1.10964 - 3.41513i) q^{96} +(9.52242 + 3.09402i) q^{97} +(-0.116896 - 0.160894i) q^{98} +1.92625 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 56 q + 12 q^{4} - 6 q^{5} + 6 q^{9}+O(q^{10}) \) 56 * q + 12 * q^4 - 6 * q^5 + 6 * q^9	\( 56 q + 12 q^{4} - 6 q^{5} + 6 q^{9} - 4 q^{10} + 8 q^{11} - 40 q^{12} - 4 q^{14} - 18 q^{15} - 32 q^{16} + 12 q^{19} + 12 q^{20} + 4 q^{21} - 30 q^{22} + 10 q^{23} - 28 q^{24} + 4 q^{25} + 12 q^{26} + 30 q^{27} - 2 q^{29} + 28 q^{30} + 12 q^{31} + 20 q^{33} + 2 q^{35} - 14 q^{36} - 70 q^{37} - 70 q^{38} - 4 q^{39} - 30 q^{40} + 4 q^{41} + 50 q^{42} + 22 q^{44} - 52 q^{45} - 4 q^{46} - 10 q^{47} + 30 q^{48} - 56 q^{49} - 54 q^{50} - 44 q^{51} - 20 q^{53} + 54 q^{54} - 2 q^{55} + 12 q^{56} + 10 q^{58} - 6 q^{59} + 16 q^{60} - 4 q^{61} + 50 q^{62} + 20 q^{63} + 24 q^{64} - 18 q^{65} - 74 q^{66} + 10 q^{67} - 78 q^{69} + 8 q^{70} - 8 q^{71} + 140 q^{72} + 40 q^{73} + 60 q^{74} - 8 q^{75} + 52 q^{76} - 20 q^{77} - 90 q^{78} + 124 q^{80} - 72 q^{81} - 30 q^{83} - 12 q^{84} + 96 q^{85} - 20 q^{86} + 30 q^{87} + 140 q^{88} + 38 q^{89} - 8 q^{90} + 8 q^{91} + 80 q^{92} + 88 q^{94} - 70 q^{95} - 28 q^{96} - 30 q^{97} + 60 q^{99}+O(q^{100}) \) 56 * q + 12 * q^4 - 6 * q^5 + 6 * q^9 - 4 * q^10 + 8 * q^11 - 40 * q^12 - 4 * q^14 - 18 * q^15 - 32 * q^16 + 12 * q^19 + 12 * q^20 + 4 * q^21 - 30 * q^22 + 10 * q^23 - 28 * q^24 + 4 * q^25 + 12 * q^26 + 30 * q^27 - 2 * q^29 + 28 * q^30 + 12 * q^31 + 20 * q^33 + 2 * q^35 - 14 * q^36 - 70 * q^37 - 70 * q^38 - 4 * q^39 - 30 * q^40 + 4 * q^41 + 50 * q^42 + 22 * q^44 - 52 * q^45 - 4 * q^46 - 10 * q^47 + 30 * q^48 - 56 * q^49 - 54 * q^50 - 44 * q^51 - 20 * q^53 + 54 * q^54 - 2 * q^55 + 12 * q^56 + 10 * q^58 - 6 * q^59 + 16 * q^60 - 4 * q^61 + 50 * q^62 + 20 * q^63 + 24 * q^64 - 18 * q^65 - 74 * q^66 + 10 * q^67 - 78 * q^69 + 8 * q^70 - 8 * q^71 + 140 * q^72 + 40 * q^73 + 60 * q^74 - 8 * q^75 + 52 * q^76 - 20 * q^77 - 90 * q^78 + 124 * q^80 - 72 * q^81 - 30 * q^83 - 12 * q^84 + 96 * q^85 - 20 * q^86 + 30 * q^87 + 140 * q^88 + 38 * q^89 - 8 * q^90 + 8 * q^91 + 80 * q^92 + 88 * q^94 - 70 * q^95 - 28 * q^96 - 30 * q^97 + 60 * q^99

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