LMFDB - Embedded newform 17.3.e.a.11.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [17,3,Mod(3,17)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(17, base_ring=CyclotomicField(16))

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

N = Newforms(chi, 3, names="a")

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

chi := DirichletCharacter("17.3");

S:= CuspForms(chi, 3);

N := Newforms(S);

Level:	$ N $	$=$	$ 17 $
Weight:	$ k $	$=$	$ 3 $
Character orbit:	$[\chi]$	$=$	17.e (of order $16$, degree $8$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$0.463216449413$
Analytic rank:	$0$
Dimension:	$8$
Coefficient field:	$\Q(\zeta_{16})$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{8} + 1 $ x^8 + 1
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label			11.1
Root			$-0.923880 + 0.382683i$ of defining polynomial
Character	$\chi$	$=$	17.11
Dual form			17.3.e.a.14.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-3.23044 - 1.33809i) q^{2} +(-0.783227 - 3.93755i) q^{3} +(5.81684 + 5.81684i) q^{4} +(0.268761 + 0.179580i) q^{5} +(-2.73864 + 13.7681i) q^{6} +(5.55967 - 3.71485i) q^{7} +(-5.65512 - 13.6527i) q^{8} +(-6.57593 + 2.72384i) q^{9} +O(q^{10})$	\(q+(-3.23044 - 1.33809i) q^{2} +(-0.783227 - 3.93755i) q^{3} +(5.81684 + 5.81684i) q^{4} +(0.268761 + 0.179580i) q^{5} +(-2.73864 + 13.7681i) q^{6} +(5.55967 - 3.71485i) q^{7} +(-5.65512 - 13.6527i) q^{8} +(-6.57593 + 2.72384i) q^{9} +(-0.627922 - 0.939752i) q^{10} +(5.27258 + 1.04878i) q^{11} +(18.3482 - 27.4600i) q^{12} +(-12.1480 + 12.1480i) q^{13} +(-22.9310 + 4.56126i) q^{14} +(0.496606 - 1.19891i) q^{15} +18.7662i q^{16} +(15.7060 + 6.50562i) q^{17} +24.8879 q^{18} +(9.69306 + 4.01500i) q^{19} +(0.518750 + 2.60793i) q^{20} +(-18.9819 - 18.9819i) q^{21} +(-15.6294 - 10.4432i) q^{22} +(-1.90212 + 9.56261i) q^{23} +(-49.3288 + 32.9604i) q^{24} +(-9.52710 - 23.0005i) q^{25} +(55.4987 - 22.9883i) q^{26} +(-4.19827 - 6.28316i) q^{27} +(53.9484 + 10.7310i) q^{28} +(-21.5573 + 32.2628i) q^{29} +(-3.20851 + 3.20851i) q^{30} +(17.4621 - 3.47343i) q^{31} +(2.49047 - 6.01252i) q^{32} -21.5825i q^{33} +(-42.0321 - 42.0321i) q^{34} +2.16134 q^{35} +(-54.0953 - 22.4070i) q^{36} +(3.17730 + 15.9734i) q^{37} +(-25.9404 - 25.9404i) q^{38} +(57.3481 + 38.3188i) q^{39} +(0.931875 - 4.68485i) q^{40} +(11.1289 - 7.43612i) q^{41} +(35.9204 + 86.7194i) q^{42} +(-57.3188 + 23.7422i) q^{43} +(24.5691 + 36.7703i) q^{44} +(-2.25650 - 0.448846i) q^{45} +(18.9404 - 28.3462i) q^{46} +(23.9604 - 23.9604i) q^{47} +(73.8929 - 14.6982i) q^{48} +(-1.64171 + 3.96345i) q^{49} +87.0498i q^{50} +(13.3149 - 66.9383i) q^{51} -141.326 q^{52} +(-17.1851 - 7.11830i) q^{53} +(5.15483 + 25.9151i) q^{54} +(1.22872 + 1.22872i) q^{55} +(-82.1582 - 54.8963i) q^{56} +(8.21738 - 41.3116i) q^{57} +(112.810 - 75.3775i) q^{58} +(-33.8486 - 81.7178i) q^{59} +(9.86256 - 4.08520i) q^{60} +(36.8784 + 55.1925i) q^{61} +(-61.0581 - 12.1452i) q^{62} +(-26.4413 + 39.5723i) q^{63} +(36.9883 - 36.9883i) q^{64} +(-5.44646 + 1.08337i) q^{65} +(-28.8794 + 69.7209i) q^{66} -24.8722i q^{67} +(53.5169 + 129.201i) q^{68} +39.1430 q^{69} +(-6.98207 - 2.89207i) q^{70} +(2.55653 + 12.8526i) q^{71} +(74.3754 + 74.3754i) q^{72} +(64.3556 + 43.0010i) q^{73} +(11.1098 - 55.8525i) q^{74} +(-83.1036 + 55.5280i) q^{75} +(33.0284 + 79.7376i) q^{76} +(33.2098 - 13.7560i) q^{77} +(-133.986 - 200.524i) q^{78} +(-94.8094 - 18.8588i) q^{79} +(-3.37004 + 5.04363i) q^{80} +(-66.7491 + 66.7491i) q^{81} +(-45.9016 + 9.13040i) q^{82} +(-11.4558 + 27.6568i) q^{83} -220.829i q^{84} +(3.05287 + 4.56894i) q^{85} +216.934 q^{86} +(143.921 + 59.6139i) q^{87} +(-15.4984 - 77.9157i) q^{88} +(12.6615 + 12.6615i) q^{89} +(6.68891 + 4.46938i) q^{90} +(-22.4109 + 112.667i) q^{91} +(-66.6885 + 44.5598i) q^{92} +(-27.3536 - 66.0374i) q^{93} +(-109.464 + 45.3415i) q^{94} +(1.88410 + 2.81976i) q^{95} +(-25.6252 - 5.09716i) q^{96} +(19.6182 - 29.3607i) q^{97} +(10.6069 - 10.6069i) q^{98} +(-37.5288 + 7.46495i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 8 q - 8 q^{2} - 8 q^{3} + 16 q^{5} - 8 q^{6} + 8 q^{7} - 24 q^{8} - 16 q^{9}+O(q^{10}) $ 8 * q - 8 * q^2 - 8 * q^3 + 16 * q^5 - 8 * q^6 + 8 * q^7 - 24 * q^8 - 16 * q^9	\( 8 q - 8 q^{2} - 8 q^{3} + 16 q^{5} - 8 q^{6} + 8 q^{7} - 24 q^{8} - 16 q^{9} + 16 q^{10} - 8 q^{11} + 48 q^{12} + 16 q^{13} + 8 q^{14} - 16 q^{15} + 56 q^{18} - 80 q^{20} - 64 q^{21} - 104 q^{22} - 56 q^{23} - 80 q^{24} + 64 q^{25} + 176 q^{26} + 40 q^{27} + 152 q^{28} + 48 q^{29} + 16 q^{30} + 24 q^{31} + 88 q^{32} - 136 q^{34} - 160 q^{35} - 128 q^{36} + 32 q^{37} - 120 q^{38} + 48 q^{39} + 64 q^{40} + 48 q^{41} + 16 q^{42} - 232 q^{43} + 120 q^{44} - 88 q^{46} + 192 q^{47} + 136 q^{48} + 16 q^{49} + 136 q^{51} - 384 q^{52} - 32 q^{53} + 8 q^{54} + 224 q^{55} - 120 q^{56} + 24 q^{57} + 240 q^{58} - 48 q^{59} + 64 q^{60} - 160 q^{61} - 168 q^{62} + 56 q^{63} - 64 q^{64} - 96 q^{65} - 8 q^{66} + 272 q^{68} + 240 q^{69} + 224 q^{70} + 40 q^{71} + 40 q^{72} + 48 q^{73} - 160 q^{74} - 296 q^{75} + 80 q^{76} - 48 q^{77} - 400 q^{78} - 136 q^{79} - 240 q^{80} - 424 q^{81} - 64 q^{82} - 264 q^{83} - 272 q^{85} + 832 q^{86} + 208 q^{87} + 264 q^{88} + 160 q^{89} + 448 q^{90} + 320 q^{91} + 24 q^{92} - 64 q^{93} + 32 q^{94} + 272 q^{95} - 56 q^{96} + 48 q^{97} - 120 q^{98} - 224 q^{99}+O(q^{100}) \) 8 * q - 8 * q^2 - 8 * q^3 + 16 * q^5 - 8 * q^6 + 8 * q^7 - 24 * q^8 - 16 * q^9 + 16 * q^10 - 8 * q^11 + 48 * q^12 + 16 * q^13 + 8 * q^14 - 16 * q^15 + 56 * q^18 - 80 * q^20 - 64 * q^21 - 104 * q^22 - 56 * q^23 - 80 * q^24 + 64 * q^25 + 176 * q^26 + 40 * q^27 + 152 * q^28 + 48 * q^29 + 16 * q^30 + 24 * q^31 + 88 * q^32 - 136 * q^34 - 160 * q^35 - 128 * q^36 + 32 * q^37 - 120 * q^38 + 48 * q^39 + 64 * q^40 + 48 * q^41 + 16 * q^42 - 232 * q^43 + 120 * q^44 - 88 * q^46 + 192 * q^47 + 136 * q^48 + 16 * q^49 + 136 * q^51 - 384 * q^52 - 32 * q^53 + 8 * q^54 + 224 * q^55 - 120 * q^56 + 24 * q^57 + 240 * q^58 - 48 * q^59 + 64 * q^60 - 160 * q^61 - 168 * q^62 + 56 * q^63 - 64 * q^64 - 96 * q^65 - 8 * q^66 + 272 * q^68 + 240 * q^69 + 224 * q^70 + 40 * q^71 + 40 * q^72 + 48 * q^73 - 160 * q^74 - 296 * q^75 + 80 * q^76 - 48 * q^77 - 400 * q^78 - 136 * q^79 - 240 * q^80 - 424 * q^81 - 64 * q^82 - 264 * q^83 - 272 * q^85 + 832 * q^86 + 208 * q^87 + 264 * q^88 + 160 * q^89 + 448 * q^90 + 320 * q^91 + 24 * q^92 - 64 * q^93 + 32 * q^94 + 272 * q^95 - 56 * q^96 + 48 * q^97 - 120 * q^98 - 224 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/17\mathbb{Z}\right)^\times$.

$n$	$3$
$\chi(n)$	$e\left(\frac{7}{16}\right)$

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 $

$2$	−3.23044	−	1.33809i	−1.61522	−	0.669047i	−0.621759	−	0.783209i	$-0.713582\pi$
$2$	−3.23044	−	1.33809i	−1.61522	−	0.669047i	−0.993462	+	0.114162i	$0.963582\pi$
$3$	−0.783227	−	3.93755i	−0.261076	−	1.31252i	−0.859417	−	0.511275i	$-0.829173\pi$
$3$	−0.783227	−	3.93755i	−0.261076	−	1.31252i	0.598341	−	0.801241i	$-0.295827\pi$
$4$	5.81684	+	5.81684i	1.45421	+	1.45421i
$5$	0.268761	+	0.179580i	0.0537522	+	0.0359161i	0.582156	−	0.813077i	$-0.302209\pi$
$5$	0.268761	+	0.179580i	0.0537522	+	0.0359161i	−0.528404	+	0.848993i	$0.677209\pi$
$6$	−2.73864	+	13.7681i	−0.456439	+	2.29468i
$7$	5.55967	−	3.71485i	0.794238	−	0.530693i	−0.0909891	−	0.995852i	$-0.529003\pi$
$7$	5.55967	−	3.71485i	0.794238	−	0.530693i	0.885227	+	0.465159i	$0.154003\pi$
$8$	−5.65512	−	13.6527i	−0.706890	−	1.70658i
$9$	−6.57593	+	2.72384i	−0.730659	+	0.302649i
$10$	−0.627922	−	0.939752i	−0.0627922	−	0.0939752i
$11$	5.27258	+	1.04878i	0.479325	+	0.0953437i	0.428839	−	0.903381i	$-0.358923\pi$
$11$	5.27258	+	1.04878i	0.479325	+	0.0953437i	0.0504865	+	0.998725i	$0.483923\pi$
$12$	18.3482	−	27.4600i	1.52902	−	2.28833i
$13$	−12.1480	+	12.1480i	−0.934463	+	0.934463i	−0.997981	−	0.0635175i	$-0.979768\pi$
$13$	−12.1480	+	12.1480i	−0.934463	+	0.934463i	0.0635175	+	0.997981i	$0.479768\pi$
$14$	−22.9310	+	4.56126i	−1.63793	+	0.325804i
$15$	0.496606	−	1.19891i	0.0331071	−	0.0799275i
$16$			18.7662i			1.17289i
$17$	15.7060	+	6.50562i	0.923880	+	0.382683i
$17$	15.7060	+	6.50562i	0.923880	+	0.382683i
$18$	24.8879			1.38266
$19$	9.69306	+	4.01500i	0.510161	+	0.211316i	0.622889	−	0.782310i	$-0.285959\pi$
$19$	9.69306	+	4.01500i	0.510161	+	0.211316i	−0.112728	+	0.993626i	$0.535959\pi$
$20$	0.518750	+	2.60793i	0.0259375	+	0.130397i
$21$	−18.9819	−	18.9819i	−0.903899	−	0.903899i
$22$	−15.6294	−	10.4432i	−0.710427	−	0.474692i
$23$	−1.90212	+	9.56261i	−0.0827009	+	0.415766i	0.917151	+	0.398541i	$0.130483\pi$
$23$	−1.90212	+	9.56261i	−0.0827009	+	0.415766i	−0.999852	+	0.0172251i	$0.994517\pi$
$24$	−49.3288	+	32.9604i	−2.05537	+	1.37335i
$25$	−9.52710	−	23.0005i	−0.381084	−	0.920018i
$26$	55.4987	−	22.9883i	2.13456	−	0.884165i
$27$	−4.19827	−	6.28316i	−0.155492	−	0.232710i
$28$	53.9484	+	10.7310i	1.92673	+	0.383250i
$29$	−21.5573	+	32.2628i	−0.743356	+	1.11251i	0.246320	+	0.969189i	$0.420779\pi$
$29$	−21.5573	+	32.2628i	−0.743356	+	1.11251i	−0.989676	+	0.143322i	$0.954221\pi$
$30$	−3.20851	+	3.20851i	−0.106950	+	0.106950i
$31$	17.4621	−	3.47343i	0.563294	−	0.112046i	0.0947735	−	0.995499i	$-0.469787\pi$
$31$	17.4621	−	3.47343i	0.563294	−	0.112046i	0.468520	+	0.883453i	$0.344787\pi$
$32$	2.49047	−	6.01252i	0.0778270	−	0.187891i
$33$		−	21.5825i		−	0.654014i
$34$	−42.0321	−	42.0321i	−1.23624	−	1.23624i
$35$	2.16134			0.0617525
$36$	−54.0953	−	22.4070i	−1.50265	−	0.622417i
$37$	3.17730	+	15.9734i	0.0858729	+	0.431712i	0.999674	+	0.0255493i	$0.00813346\pi$
$37$	3.17730	+	15.9734i	0.0858729	+	0.431712i	−0.913801	+	0.406163i	$0.866867\pi$
$38$	−25.9404	−	25.9404i	−0.682643	−	0.682643i
$39$	57.3481	+	38.3188i	1.47046	+	0.982533i
$40$	0.931875	−	4.68485i	0.0232969	−	0.117121i
$41$	11.1289	−	7.43612i	0.271438	−	0.181369i	−0.412400	−	0.911003i	$-0.635310\pi$
$41$	11.1289	−	7.43612i	0.271438	−	0.181369i	0.683838	+	0.729634i	$0.260310\pi$
$42$	35.9204	+	86.7194i	0.855247	+	2.06475i
$43$	−57.3188	+	23.7422i	−1.33300	+	0.552145i	−0.931509	−	0.363720i	$-0.881507\pi$
$43$	−57.3188	+	23.7422i	−1.33300	+	0.552145i	−0.401487	+	0.915865i	$0.631507\pi$
$44$	24.5691	+	36.7703i	0.558390	+	0.835689i
$45$	−2.25650	−	0.448846i	−0.0501445	−	0.00997437i
$46$	18.9404	−	28.3462i	0.411747	−	0.616223i
$47$	23.9604	−	23.9604i	0.509796	−	0.509796i	−0.404668	−	0.914464i	$-0.632613\pi$
$47$	23.9604	−	23.9604i	0.509796	−	0.509796i	0.914464	+	0.404668i	$0.132613\pi$
$48$	73.8929	−	14.6982i	1.53944	−	0.306213i
$49$	−1.64171	+	3.96345i	−0.0335043	+	0.0808866i
$50$			87.0498i			1.74100i
$51$	13.3149	−	66.9383i	0.261076	−	1.31252i
$52$	−141.326			−2.71781
$53$	−17.1851	−	7.11830i	−0.324247	−	0.134308i	0.214622	−	0.976697i	$-0.431148\pi$
$53$	−17.1851	−	7.11830i	−0.324247	−	0.134308i	−0.538869	+	0.842390i	$0.681148\pi$
$54$	5.15483	+	25.9151i	0.0954598	+	0.479909i
$55$	1.22872	+	1.22872i	0.0223404	+	0.0223404i
$56$	−82.1582	−	54.8963i	−1.46711	−	0.980292i
$57$	8.21738	−	41.3116i	0.144165	−	0.724764i
$58$	112.810	−	75.3775i	1.94501	−	1.29961i
$59$	−33.8486	−	81.7178i	−0.573706	−	1.38505i	−0.898379	−	0.439221i	$-0.855254\pi$
$59$	−33.8486	−	81.7178i	−0.573706	−	1.38505i	0.324673	−	0.945826i	$-0.394746\pi$
$60$	9.86256	−	4.08520i	0.164376	−	0.0680867i
$61$	36.8784	+	55.1925i	0.604564	+	0.904794i	0.999906	−	0.0137398i	$-0.00437366\pi$
$61$	36.8784	+	55.1925i	0.604564	+	0.904794i	−0.395341	+	0.918534i	$0.629374\pi$
$62$	−61.0581	−	12.1452i	−0.984808	−	0.195890i
$63$	−26.4413	+	39.5723i	−0.419704	+	0.628131i
$64$	36.9883	−	36.9883i	0.577941	−	0.577941i
$65$	−5.44646	+	1.08337i	−0.0837917	+	0.0166672i
$66$	−28.8794	+	69.7209i	−0.437566	+	1.05638i
$67$		−	24.8722i		−	0.371227i	−0.982623	−	0.185614i	$-0.940573\pi$
$67$		−	24.8722i		−	0.371227i	0.982623	−	0.185614i	$-0.0594273\pi$
$68$	53.5169	+	129.201i	0.787013	+	1.90002i
$69$	39.1430			0.567290
$70$	−6.98207	−	2.89207i	−0.0997439	−	0.0413153i
$71$	2.55653	+	12.8526i	0.0360075	+	0.181022i	0.994604	−	0.103747i	$-0.0330832\pi$
$71$	2.55653	+	12.8526i	0.0360075	+	0.181022i	−0.958596	+	0.284769i	$0.908083\pi$
$72$	74.3754	+	74.3754i	1.03299	+	1.03299i
$73$	64.3556	+	43.0010i	0.881584	+	0.589055i	0.911867	−	0.410486i	$-0.134641\pi$
$73$	64.3556	+	43.0010i	0.881584	+	0.589055i	−0.0302833	+	0.999541i	$0.509641\pi$
$74$	11.1098	−	55.8525i	0.150132	−	0.754764i
$75$	−83.1036	+	55.5280i	−1.10805	+	0.740374i
$76$	33.0284	+	79.7376i	0.434584	+	1.04918i
$77$	33.2098	−	13.7560i	0.431297	−	0.178649i
$78$	−133.986	−	200.524i	−1.71776	−	2.57082i
$79$	−94.8094	−	18.8588i	−1.20012	−	0.238719i	−0.445743	−	0.895161i	$-0.647060\pi$
$79$	−94.8094	−	18.8588i	−1.20012	−	0.238719i	−0.754376	+	0.656442i	$0.772060\pi$
$80$	−3.37004	+	5.04363i	−0.0421256	+	0.0630453i
$81$	−66.7491	+	66.7491i	−0.824063	+	0.824063i
$82$	−45.9016	+	9.13040i	−0.559776	+	0.111346i
$83$	−11.4558	+	27.6568i	−0.138022	+	0.333214i	−0.977744	−	0.209802i	$-0.932718\pi$
$83$	−11.4558	+	27.6568i	−0.138022	+	0.333214i	0.839722	+	0.543017i	$0.182718\pi$
$84$		−	220.829i		−	2.62892i
$85$	3.05287	+	4.56894i	0.0359161	+	0.0537522i
$86$	216.934			2.52249
$87$	143.921	+	59.6139i	1.65426	+	0.685217i
$88$	−15.4984	−	77.9157i	−0.176118	−	0.885406i
$89$	12.6615	+	12.6615i	0.142265	+	0.142265i	0.774652	−	0.632388i	$-0.217925\pi$
$89$	12.6615	+	12.6615i	0.142265	+	0.142265i	−0.632388	+	0.774652i	$0.717925\pi$
$90$	6.68891	+	4.46938i	0.0743212	+	0.0496598i
$91$	−22.4109	+	112.667i	−0.246273	+	1.23810i
$92$	−66.6885	+	44.5598i	−0.724875	+	0.484346i
$93$	−27.3536	−	66.0374i	−0.294125	−	0.710080i
$94$	−109.464	+	45.3415i	−1.16451	+	0.482356i
$95$	1.88410	+	2.81976i	0.0198327	+	0.0296817i
$96$	−25.6252	−	5.09716i	−0.266929	−	0.0530955i
$97$	19.6182	−	29.3607i	0.202249	−	0.302687i	−0.716455	−	0.697633i	$-0.754237\pi$
$97$	19.6182	−	29.3607i	0.202249	−	0.302687i	0.918704	+	0.394946i	$0.129237\pi$
$98$	10.6069	−	10.6069i	0.108234	−	0.108234i
$99$	−37.5288	+	7.46495i	−0.379079	+	0.0754035i
$100$	78.3723	−	189.208i	0.783723	−	1.89208i
$101$		−	86.9898i		−	0.861285i	−0.902523	−	0.430643i	$-0.858287\pi$
$101$		−	86.9898i		−	0.861285i	0.902523	−	0.430643i	$-0.141713\pi$
$102$	−132.583	+	198.424i	−1.29983	+	1.94533i
$103$	−70.4068			−0.683561			−0.341780	−	0.939780i	$-0.611030\pi$
$103$	−70.4068			−0.683561			−0.341780	+	0.939780i	$0.611030\pi$
$104$	234.551	+	97.1544i	2.25530	+	0.934176i
$105$	−1.69282	−	8.51037i	−0.0161221	−	0.0810511i
$106$	45.9905	+	45.9905i	0.433873	+	0.433873i
$107$	−125.827	−	84.0749i	−1.17595	−	0.785746i	−0.195155	−	0.980772i	$-0.562521\pi$
$107$	−125.827	−	84.0749i	−1.17595	−	0.785746i	−0.980798	+	0.195026i	$0.937521\pi$
$108$	12.1275	−	60.9688i	0.112291	−	0.564526i
$109$	123.827	−	82.7388i	1.13603	−	0.759071i	0.162292	−	0.986743i	$-0.448111\pi$
$109$	123.827	−	82.7388i	1.13603	−	0.759071i	0.973738	+	0.227672i	$0.0731113\pi$
$110$	−2.32517	−	5.61347i	−0.0211379	−	0.0510315i
$111$	60.4073	−	25.0215i	0.544210	−	0.225419i
$112$	69.7137	+	104.334i	0.622443	+	0.931552i
$113$	4.54907	+	0.904865i	0.0402572	+	0.00800766i	0.215178	−	0.976575i	$-0.430967\pi$
$113$	4.54907	+	0.904865i	0.0402572	+	0.00800766i	−0.174921	+	0.984583i	$0.555967\pi$
$114$	−81.8245	+	122.459i	−0.717759	+	1.07420i
$115$	−2.22847	+	2.22847i	−0.0193780	+	0.0193780i
$116$	−313.063	+	62.2721i	−2.69882	+	0.536829i
$117$	46.7953	−	112.974i	0.399960	−	0.965589i
$118$			309.277i			2.62099i
$119$	111.487	−	22.1762i	0.936868	−	0.186355i
$120$	−19.1767			−0.159806
$121$	−85.0893	−	35.2451i	−0.703217	−	0.291282i
$122$	−45.2810	−	227.643i	−0.371156	−	1.86592i
$123$	−37.9966	−	37.9966i	−0.308915	−	0.308915i
$124$	121.779	+	81.3699i	0.982086	+	0.656209i
$125$	3.14642	−	15.8181i	0.0251714	−	0.126545i
$126$	138.369	−	92.4549i	1.09816	−	0.733769i
$127$	72.1485	+	174.182i	0.568099	+	1.37151i	0.903156	+	0.429314i	$0.141244\pi$
$127$	72.1485	+	174.182i	0.568099	+	1.37151i	−0.335057	+	0.942198i	$0.608756\pi$
$128$	−193.032	+	79.9566i	−1.50806	+	0.624661i
$129$	138.380	+	207.100i	1.07271	+	1.60543i
$130$	19.0441	+	3.78811i	0.146493	+	0.0291393i
$131$	53.5681	−	80.1704i	0.408917	−	0.611988i	−0.568658	−	0.822574i	$-0.692537\pi$
$131$	53.5681	−	80.1704i	0.408917	−	0.611988i	0.977575	+	0.210586i	$0.0675373\pi$
$132$	125.542	−	125.542i	0.951074	−	0.951074i
$133$	68.8053	−	13.6862i	0.517333	−	0.102904i
$134$	−33.2814	+	80.3483i	−0.248368	+	0.599614i
$135$		−	2.44260i		−	0.0180933i
$136$		−	251.218i		−	1.84719i
$137$	−73.1101			−0.533651			−0.266825	−	0.963745i	$-0.585975\pi$
$137$	−73.1101			−0.533651			−0.266825	+	0.963745i	$0.585975\pi$
$138$	−126.449	−	52.3770i	−0.916300	−	0.379544i
$139$	−27.7495	−	139.506i	−0.199637	−	1.00364i	−0.942502	−	0.334201i	$-0.891533\pi$
$139$	−27.7495	−	139.506i	−0.199637	−	1.00364i	0.742865	−	0.669442i	$-0.233467\pi$
$140$	12.5721	+	12.5721i	0.0898010	+	0.0898010i
$141$	−113.112	−	75.5788i	−0.802211	−	0.536020i
$142$	8.93918	−	44.9403i	0.0629520	−	0.316481i
$143$	−76.7920	+	51.3108i	−0.537007	+	0.358817i
$144$	−51.1162	−	123.405i	−0.354973	−	0.856982i
$145$	−11.5875	+	4.79972i	−0.0799141	+	0.0331015i
$146$	−150.358	−	225.026i	−1.02985	−	1.54128i
$147$	16.8921	+	3.36005i	0.114912	+	0.0228575i
$148$	−74.4326	+	111.396i	−0.502923	+	0.752677i
$149$	−171.393	+	171.393i	−1.15029	+	1.15029i	−0.163796	+	0.986494i	$0.552374\pi$
$149$	−171.393	+	171.393i	−1.15029	+	1.15029i	−0.986494	+	0.163796i	$0.947626\pi$
$150$	342.763	−	68.1798i	2.28509	−	0.454532i
$151$	−2.25441	+	5.44262i	−0.0149299	+	0.0360439i	−0.931169	−	0.364589i	$-0.881210\pi$
$151$	−2.25441	+	5.44262i	−0.0149299	+	0.0360439i	0.916239	+	0.400633i	$0.131210\pi$
$152$		−	155.041i		−	1.02001i
$153$	−121.002			−0.790860
$154$	−125.689			−0.816164
$155$	5.31689	+	2.20233i	0.0343025	+	0.0142086i
$156$	110.691	+	556.479i	0.709554	+	3.56717i
$157$	132.821	+	132.821i	0.845991	+	0.845991i	0.989630	−	0.143639i	$-0.0458804\pi$
$157$	132.821	+	132.821i	0.845991	+	0.845991i	−0.143639	+	0.989630i	$0.545880\pi$
$158$	281.042	+	187.786i	1.77874	+	1.18852i
$159$	−14.5688	+	73.2424i	−0.0916278	+	0.460644i
$160$	1.74907	−	1.16869i	0.0109317	−	0.00730432i
$161$	24.9485	+	60.2310i	0.154960	+	0.374106i
$162$	304.946	−	126.313i	1.88238	−	0.779707i
$163$	−28.9063	−	43.2613i	−0.177339	−	0.265407i	0.732142	−	0.681152i	$-0.238521\pi$
$163$	−28.9063	−	43.2613i	−0.177339	−	0.265407i	−0.909481	+	0.415745i	$0.863521\pi$
$164$	107.990	+	21.4805i	0.658475	+	0.130979i
$165$	3.87579	−	5.80053i	0.0234896	−	0.0351547i
$166$	74.0147	−	74.0147i	0.445872	−	0.445872i
$167$	275.950	−	54.8898i	1.65239	−	0.328681i	0.721066	−	0.692866i	$-0.243652\pi$
$167$	275.950	−	54.8898i	1.65239	−	0.328681i	0.931327	+	0.364185i	$0.118652\pi$
$168$	−151.809	+	366.498i	−0.903622	+	2.18154i
$169$		−	126.149i		−	0.746443i
$170$	−3.74845	−	18.8447i	−0.0220497	−	0.110851i
$171$	−74.6772			−0.436709
$172$	−471.519	−	195.310i	−2.74139	−	1.13552i
$173$	45.9139	+	230.825i	0.265398	+	1.33425i	0.851647	+	0.524115i	$0.175604\pi$
$173$	45.9139	+	230.825i	0.265398	+	1.33425i	−0.586249	+	0.810131i	$0.699396\pi$
$174$	−385.159	−	385.159i	−2.21356	−	2.21356i
$175$	−138.411	−	92.4831i	−0.790919	−	0.528475i
$176$	−19.6816	+	98.9463i	−0.111828	+	0.562195i
$177$	−295.257	+	197.284i	−1.66812	+	1.11460i
$178$	−23.9601	−	57.8447i	−0.134607	−	0.324970i
$179$	139.297	−	57.6987i	0.778196	−	0.322339i	0.0420087	−	0.999117i	$-0.486624\pi$
$179$	139.297	−	57.6987i	0.778196	−	0.322339i	0.736187	+	0.676778i	$0.236624\pi$
$180$	−10.5148	−	15.7366i	−0.0584158	−	0.0874255i
$181$	−70.8187	−	14.0867i	−0.391263	−	0.0778271i	−0.00446166	−	0.999990i	$-0.501420\pi$
$181$	−70.8187	−	14.0867i	−0.391263	−	0.0778271i	−0.386802	+	0.922163i	$0.626420\pi$
$182$	223.156	−	333.977i	1.22613	−	1.83504i
$183$	188.439	−	188.439i	1.02972	−	1.02972i
$184$	141.312	−	28.1087i	0.767999	−	0.152764i
$185$	−2.01457	+	4.86360i	−0.0108896	+	0.0262897i
$186$			249.932i			1.34372i
$187$	75.9879	+	50.7735i	0.406352	+	0.271516i
$188$	278.748			1.48270
$189$	−46.6820	−	19.3363i	−0.246995	−	0.102309i
$190$	−2.31339	−	11.6302i	−0.0121757	−	0.0612115i
$191$	23.3968	+	23.3968i	0.122496	+	0.122496i	0.765697	−	0.643201i	$-0.222394\pi$
$191$	23.3968	+	23.3968i	0.122496	+	0.122496i	−0.643201	+	0.765697i	$0.722394\pi$
$192$	−174.613	−	116.673i	−0.909444	−	0.607671i
$193$	71.6819	−	360.369i	0.371409	−	1.86720i	−0.114850	−	0.993383i	$-0.536639\pi$
$193$	71.6819	−	360.369i	0.371409	−	1.86720i	0.486259	−	0.873815i	$-0.338361\pi$
$194$	−102.663	+	68.5970i	−0.529189	+	0.353593i
$195$	8.53164	+	20.5972i	0.0437520	+	0.105627i
$196$	−32.6043	+	13.5051i	−0.166348	+	0.0689038i
$197$	−39.4110	−	58.9828i	−0.200056	−	0.299405i	0.717854	−	0.696194i	$-0.245125\pi$
$197$	−39.4110	−	58.9828i	−0.200056	−	0.299405i	−0.917910	+	0.396789i	$0.870125\pi$
$198$	131.224	+	26.1020i	0.662745	+	0.131828i
$199$	−62.0798	+	92.9089i	−0.311959	+	0.466879i	−0.954007	−	0.299785i	$-0.903085\pi$
$199$	−62.0798	+	92.9089i	−0.311959	+	0.466879i	0.642048	+	0.766664i	$0.278085\pi$
$200$	−260.141	+	260.141i	−1.30070	+	1.30070i
$201$	−97.9356	+	19.4806i	−0.487242	+	0.0969184i
$202$	−116.400	+	281.016i	−0.576240	+	1.39117i
$203$			259.453i			1.27809i
$204$	466.820	−	311.919i	2.28833	−	1.52902i
$205$	4.32641			0.0211044
$206$	227.445	+	94.2108i	1.10410	+	0.457334i
$207$	−13.5388	−	68.0642i	−0.0654048	−	0.328812i
$208$	−227.972	−	227.972i	−1.09602	−	1.09602i
$209$	46.8966	+	31.3353i	0.224386	+	0.149930i
$210$	−5.91912	+	29.7574i	−0.0281863	+	0.141702i
$211$	50.0340	−	33.4316i	0.237128	−	0.158444i	−0.431329	−	0.902195i	$-0.641955\pi$
$211$	50.0340	−	33.4316i	0.237128	−	0.158444i	0.668457	+	0.743751i	$0.266955\pi$
$212$	−58.5569	−	141.369i	−0.276212	−	0.666834i
$213$	48.6052	−	20.1329i	0.228193	−	0.0945208i
$214$	293.977	+	439.967i	1.37372	+	2.05592i
$215$	−19.6687	−	3.91235i	−0.0914824	−	0.0181970i
$216$	−62.0402	+	92.8497i	−0.287223	+	0.429859i
$217$	84.1802	−	84.1802i	0.387927	−	0.387927i
$218$	−510.729	+	101.590i	−2.34279	+	0.466011i
$219$	118.914	−	287.083i	0.542985	−	1.31088i
$220$			14.2946i			0.0649753i
$221$	−269.827	+	111.766i	−1.22094	+	0.505728i
$222$	−228.623			−1.02984
$223$	43.6920	+	18.0978i	0.195928	+	0.0811562i	0.478490	−	0.878093i	$-0.341184\pi$
$223$	43.6920	+	18.0978i	0.195928	+	0.0811562i	−0.282562	+	0.959249i	$0.591184\pi$
$224$	−8.48944	−	42.6793i	−0.0378993	−	0.190533i
$225$	125.299	+	125.299i	0.556885	+	0.556885i
$226$	−13.4847	−	9.01019i	−0.0596668	−	0.0398681i
$227$	−71.5726	+	359.820i	−0.315298	+	1.58511i	0.420104	+	0.907476i	$0.361994\pi$
$227$	−71.5726	+	359.820i	−0.315298	+	1.58511i	−0.735401	+	0.677632i	$0.763006\pi$
$228$	288.102	−	192.504i	1.26360	−	0.844314i
$229$	−104.294	−	251.787i	−0.455431	−	1.09951i	−0.970228	−	0.242195i	$-0.922133\pi$
$229$	−104.294	−	251.787i	−0.455431	−	1.09951i	0.514797	−	0.857312i	$-0.327867\pi$
$230$	10.1809	−	4.21705i	0.0442646	−	0.0183350i
$231$	−80.1756	−	119.991i	−0.347081	−	0.519443i
$232$	562.383	+	111.865i	2.42406	+	0.482176i
$233$	187.322	−	280.347i	0.803956	−	1.20321i	−0.171969	−	0.985102i	$-0.555013\pi$
$233$	187.322	−	280.347i	0.803956	−	1.20321i	0.975926	−	0.218104i	$-0.0699871\pi$
$234$	−302.339	+	302.339i	−1.29205	+	1.29205i
$235$	10.7424	−	2.13680i	0.0457125	−	0.00909279i
$236$	278.447	−	672.231i	1.17986	−	2.84844i
$237$			388.087i			1.63750i
$238$	−389.827	−	77.5414i	−1.63793	−	0.325804i
$239$	−131.360			−0.549622			−0.274811	−	0.961498i	$-0.588615\pi$
$239$	−131.360			−0.549622			−0.274811	+	0.961498i	$0.588615\pi$
$240$	22.4990	+	9.31941i	0.0937460	+	0.0388309i
$241$	−30.7755	−	154.719i	−0.127699	−	0.641987i	−0.990620	−	0.136647i	$-0.956367\pi$
$241$	−30.7755	−	154.719i	−0.127699	−	0.641987i	0.862921	−	0.505339i	$-0.168633\pi$
$242$	227.715	+	227.715i	0.940970	+	0.940970i
$243$	258.559	+	172.764i	1.06403	+	0.710961i
$244$	−106.530	+	535.561i	−0.436598	+	2.19492i
$245$	−1.15299	+	0.770401i	−0.00470606	+	0.00314449i
$246$	71.9028	+	173.589i	0.292288	+	0.705645i
$247$	−166.526	+	68.9773i	−0.674194	+	0.279260i
$248$	−146.172	−	218.762i	−0.589402	−	0.882103i
$249$	117.872	+	23.4463i	0.473384	+	0.0941618i
$250$	−31.3305	+	46.8894i	−0.125322	+	0.187558i
$251$	34.3154	−	34.3154i	0.136715	−	0.136715i	−0.635438	−	0.772152i	$-0.719180\pi$
$251$	34.3154	−	34.3154i	0.136715	−	0.136715i	0.772152	+	0.635438i	$0.219180\pi$
$252$	−383.990	+	76.3804i	−1.52377	+	0.303097i
$253$	−20.0582	+	48.4247i	−0.0792813	+	0.191402i
$254$		−	659.226i		−	2.59538i
$255$	15.5993	−	15.5993i	0.0611739	−	0.0611739i
$256$	521.332			2.03645
$257$	−72.2794	−	29.9391i	−0.281243	−	0.116495i	0.237603	−	0.971362i	$-0.423638\pi$
$257$	−72.2794	−	29.9391i	−0.281243	−	0.116495i	−0.518846	+	0.854868i	$0.673638\pi$
$258$	−169.909	−	854.190i	−0.658562	−	3.31081i
$259$	77.0033	+	77.0033i	0.297310	+	0.297310i
$260$	−37.9830	−	25.3794i	−0.146088	−	0.0976131i
$261$	53.8808	−	270.877i	0.206440	−	1.03784i
$262$	−280.324	+	187.307i	−1.06994	+	0.714911i
$263$	19.4354	+	46.9211i	0.0738987	+	0.178407i	0.956512	−	0.291692i	$-0.0942182\pi$
$263$	19.4354	+	46.9211i	0.0738987	+	0.178407i	−0.882614	+	0.470099i	$0.844218\pi$
$264$	−294.658	+	122.051i	−1.11613	+	0.462316i
$265$	−3.34038	−	4.99923i	−0.0126052	−	0.0188650i
$266$	−240.585	−	47.8553i	−0.904455	−	0.179907i
$267$	39.9386	−	59.7723i	0.149583	−	0.223866i
$268$	144.678	−	144.678i	0.539842	−	0.539842i
$269$	25.0050	−	4.97380i	0.0929553	−	0.0184900i	−0.148393	−	0.988928i	$-0.547410\pi$
$269$	25.0050	−	4.97380i	0.0929553	−	0.0184900i	0.241349	+	0.970438i	$0.422410\pi$
$270$	−3.26842	+	7.89067i	−0.0121053	+	0.0292247i
$271$		−	84.7413i		−	0.312699i	−0.987702	−	0.156349i	$-0.950027\pi$
$271$		−	84.7413i		−	0.312699i	0.987702	−	0.156349i	$-0.0499726\pi$
$272$	−122.086	+	294.741i	−0.448845	+	1.08361i
$273$	461.185			1.68932
$274$	236.178	+	97.8282i	0.861964	+	0.357037i
$275$	−26.1099	−	131.264i	−0.0949453	−	0.477322i
$276$	227.689	+	227.689i	0.824959	+	0.824959i
$277$	−165.317	−	110.461i	−0.596811	−	0.398776i	0.220153	−	0.975465i	$-0.429344\pi$
$277$	−165.317	−	110.461i	−0.596811	−	0.398776i	−0.816964	+	0.576689i	$0.804344\pi$
$278$	−97.0292	+	487.799i	−0.349026	+	1.75467i
$279$	−105.369	+	70.4050i	−0.377665	+	0.252348i
$280$	−12.2226	−	29.5080i	−0.0436522	−	0.105386i
$281$	−292.996	+	121.363i	−1.04269	+	0.431896i	−0.837277	−	0.546779i	$-0.815854\pi$
$281$	−292.996	+	121.363i	−1.04269	+	0.431896i	−0.205413	+	0.978675i	$0.565854\pi$
$282$	264.269	+	395.507i	0.937125	+	1.40251i
$283$	−139.523	−	27.7528i	−0.493013	−	0.0980664i	−0.0576788	−	0.998335i	$-0.518370\pi$
$283$	−139.523	−	27.7528i	−0.493013	−	0.0980664i	−0.435335	+	0.900269i	$0.643370\pi$
$284$	−59.8903	+	89.6321i	−0.210881	+	0.315606i
$285$	9.62726	−	9.62726i	0.0337799	−	0.0337799i
$286$	316.731	−	63.0017i	1.10745	−	0.220286i
$287$	34.2491	−	82.6847i	0.119335	−	0.288100i
$288$			46.3215i			0.160839i
$289$	204.354	+	204.354i	0.707107	+	0.707107i
$290$	43.8554			0.151225
$291$	−130.975	−	54.2514i	−0.450084	−	0.186431i
$292$	124.216	+	624.476i	0.425397	+	2.13862i
$293$	−138.193	−	138.193i	−0.471647	−	0.471647i	0.430800	−	0.902447i	$-0.358231\pi$
$293$	−138.193	−	138.193i	−0.471647	−	0.471647i	−0.902447	+	0.430800i	$0.858231\pi$
$294$	−50.0729	−	33.4576i	−0.170316	−	0.113801i
$295$	5.57773	−	28.0411i	0.0189075	−	0.0950546i
$296$	200.111	−	133.710i	0.676050	−	0.451722i
$297$	−15.5461	−	37.5315i	−0.0523437	−	0.126369i
$298$	783.016	−	324.336i	2.62757	−	1.08838i
$299$	−93.0598	−	139.274i	−0.311237	−	0.465799i
$300$	−806.398	−	160.402i	−2.68799	−	0.534675i
$301$	−230.475	+	344.930i	−0.765697	+	1.14595i
$302$	14.5655	−	14.5655i	0.0482300	−	0.0482300i
$303$	−342.527	+	68.1328i	−1.13045	+	0.224861i
$304$	−75.3463	+	181.902i	−0.247850	+	0.598362i
$305$			21.4562i			0.0703483i
$306$	390.889	+	161.911i	1.27741	+	0.529122i
$307$	−197.465			−0.643207			−0.321603	−	0.946874i	$-0.604222\pi$
$307$	−197.465			−0.643207			−0.321603	+	0.946874i	$0.604222\pi$
$308$	273.192	+	113.160i	0.886989	+	0.367403i
$309$	55.1445	+	277.230i	0.178461	+	0.897185i
$310$	−14.2290	−	14.2290i	−0.0459000	−	0.0459000i
$311$	−2.66650	−	1.78170i	−0.00857396	−	0.00572894i	0.551276	−	0.834323i	$-0.314141\pi$
$311$	−2.66650	−	1.78170i	−0.00857396	−	0.00572894i	−0.559850	+	0.828594i	$0.689141\pi$
$312$	198.843	−	999.651i	0.637317	−	3.20401i
$313$	298.647	−	199.549i	0.954143	−	0.637538i	0.0220501	−	0.999757i	$-0.492981\pi$
$313$	298.647	−	199.549i	0.954143	−	0.637538i	0.932093	+	0.362219i	$0.117981\pi$
$314$	−251.343	−	606.796i	−0.800456	−	1.93247i
$315$	−14.2128	+	5.88714i	−0.0451200	+	0.0186893i
$316$	−441.793	−	661.189i	−1.39808	−	2.09237i
$317$	583.601	+	116.086i	1.84101	+	0.366200i	0.987846	−	0.155437i	$-0.0496785\pi$
$317$	583.601	+	116.086i	1.84101	+	0.366200i	0.853168	+	0.521637i	$0.174678\pi$
$318$	145.069	−	217.111i	0.456191	−	0.682739i
$319$	−147.499	+	147.499i	−0.462380	+	0.462380i
$320$	16.5834	−	3.29864i	0.0518230	−	0.0103082i
$321$	−232.498	+	561.299i	−0.724292	+	1.74860i
$322$		−	227.956i		−	0.707939i
$323$	126.119	+	126.119i	0.390460	+	0.390460i
$324$	−776.537			−2.39672
$325$	395.146	+	163.675i	1.21583	+	0.503614i
$326$	35.4925	+	178.433i	0.108873	+	0.547339i
$327$	−422.773	−	422.773i	−1.29288	−	1.29288i
$328$	−164.458	−	109.888i	−0.501397	−	0.335023i
$329$	44.2025	−	222.221i	0.134354	−	0.675444i
$330$	−20.2822	+	13.5521i	−0.0614611	+	0.0410670i
$331$	177.801	+	429.250i	0.537164	+	1.29683i	0.926695	+	0.375815i	$0.122637\pi$
$331$	177.801	+	429.250i	0.537164	+	1.29683i	−0.389531	+	0.921013i	$0.627363\pi$
$332$	−227.512	+	94.2385i	−0.685276	+	0.283851i
$333$	−64.4026	−	96.3852i	−0.193401	−	0.289445i
$334$	−964.887	−	191.928i	−2.88888	−	0.574635i
$335$	4.46656	−	6.68469i	0.0133330	−	0.0199543i
$336$	356.218	−	356.218i	1.06017	−	1.06017i
$337$	107.480	−	21.3790i	0.318930	−	0.0634392i	−0.0330292	−	0.999454i	$-0.510515\pi$
$337$	107.480	−	21.3790i	0.318930	−	0.0634392i	0.351960	+	0.936015i	$0.385515\pi$
$338$	−168.799	+	407.517i	−0.499405	+	1.20567i
$339$		−	18.6209i		−	0.0549289i
$340$	−8.81874	+	44.3348i	−0.0259375	+	0.130397i
$341$	95.7132			0.280684
$342$	241.240	+	99.9250i	0.705381	+	0.292178i
$343$	69.5158	+	349.480i	0.202670	+	1.01889i
$344$	648.289	+	648.289i	1.88456	+	1.88456i
$345$	10.5201	+	7.02932i	0.0304931	+	0.0203749i
$346$	160.543	−	807.103i	0.463996	−	2.33267i
$347$	342.489	−	228.844i	0.987001	−	0.659493i	0.0463702	−	0.998924i	$-0.485235\pi$
$347$	342.489	−	228.844i	0.987001	−	0.659493i	0.940631	+	0.339431i	$0.110235\pi$
$348$	490.399	+	1183.93i	1.40919	+	3.40209i
$349$	16.0775	−	6.65951i	0.0460673	−	0.0190817i	−0.359531	−	0.933133i	$-0.617063\pi$
$349$	16.0775	−	6.65951i	0.0460673	−	0.0190817i	0.405598	+	0.914052i	$0.367063\pi$
$350$	323.377	+	483.968i	0.923934	+	1.38277i
$351$	127.329	+	25.3273i	0.362760	+	0.0721574i
$352$	19.4370	−	29.0895i	0.0552187	−	0.0826406i
$353$	−64.9927	+	64.9927i	−0.184115	+	0.184115i	−0.793146	−	0.609031i	$-0.791558\pi$
$353$	−64.9927	+	64.9927i	−0.184115	+	0.184115i	0.609031	+	0.793146i	$0.291558\pi$
$354$	1217.79	−	242.234i	3.44010	−	0.684278i
$355$	−1.62097	+	3.91337i	−0.00456611	+	0.0110236i
$356$			147.300i			0.413765i
$357$	−174.640	−	421.618i	−0.489187	−	1.18100i
$358$	−527.197			−1.47262
$359$	−509.223	−	210.927i	−1.41845	−	0.587541i	−0.463979	−	0.885846i	$-0.653579\pi$
$359$	−509.223	−	210.927i	−1.41845	−	0.587541i	−0.954471	+	0.298305i	$0.903579\pi$
$360$	6.63285	+	33.3456i	0.0184246	+	0.0926266i
$361$	−177.430	−	177.430i	−0.491497	−	0.491497i
$362$	209.926	+	140.268i	0.579907	+	0.387481i
$363$	−72.1352	+	362.648i	−0.198720	+	0.999031i
$364$	−785.726	+	525.006i	−2.15859	+	1.44232i
$365$	9.57414	+	23.1140i	0.0262305	+	0.0633261i
$366$	−860.890	+	356.592i	−2.35216	+	0.974296i
$367$	−331.485	−	496.102i	−0.903229	−	1.35178i	−0.935883	−	0.352311i	$-0.885396\pi$
$367$	−331.485	−	496.102i	−0.903229	−	1.35178i	0.0326541	−	0.999467i	$-0.489604\pi$
$368$	−179.454	−	35.6956i	−0.487647	−	0.0969989i
$369$	−52.9284	+	79.2129i	−0.143437	+	0.214669i
$370$	13.0159	−	13.0159i	0.0351781	−	0.0351781i
$371$	−121.987	+	24.2647i	−0.328805	+	0.0654035i
$372$	225.018	−	543.240i	0.604886	−	1.46032i
$373$		−	493.234i		−	1.32234i	−0.750234	−	0.661172i	$-0.770059\pi$
$373$		−	493.234i		−	1.32234i	0.750234	−	0.661172i	$-0.229941\pi$
$374$	−177.535	−	265.700i	−0.474692	−	0.710427i
$375$	−64.7491			−0.172664
$376$	−462.622	−	191.624i	−1.23038	−	0.509639i
$377$	−130.051	−	653.808i	−0.344962	−	1.73424i
$378$	124.930	+	124.930i	0.330502	+	0.330502i
$379$	594.246	+	397.063i	1.56793	+	1.04766i	0.969064	+	0.246811i	$0.0793826\pi$
$379$	594.246	+	397.063i	1.56793	+	1.04766i	0.598868	+	0.800848i	$0.295617\pi$
$380$	−5.44256	+	27.3616i	−0.0143225	+	0.0720042i
$381$	629.341	−	420.512i	1.65181	−	1.10371i
$382$	−44.2749	−	106.889i	−0.115903	−	0.279814i
$383$	590.914	−	244.764i	1.54286	−	0.639072i	0.560849	−	0.827918i	$-0.310475\pi$
$383$	590.914	−	244.764i	1.54286	−	0.639072i	0.982007	+	0.188846i	$0.0604748\pi$
$384$	466.021	+	697.450i	1.21360	+	1.81628i
$385$	11.3958	+	2.26677i	0.0295995	+	0.00588771i
$386$	−713.772	+	1068.23i	−1.84915	+	2.76745i
$387$	312.255	−	312.255i	0.806860	−	0.806860i
$388$	284.902	−	56.6705i	0.734284	−	0.146058i
$389$	−64.8794	+	156.633i	−0.166785	+	0.402655i	−0.985069	−	0.172159i	$-0.944926\pi$
$389$	−64.8794	+	156.633i	−0.166785	+	0.402655i	0.818284	+	0.574814i	$0.194926\pi$
$390$		−	77.9542i		−	0.199882i
$391$	−92.0853	+	137.815i	−0.235512	+	0.352469i
$392$	63.3957			0.161724
$393$	−357.631	−	148.136i	−0.910002	−	0.376935i
$394$	48.3906	+	243.276i	0.122819	+	0.617452i
$395$	−22.0944	−	22.0944i	−0.0559352	−	0.0559352i
$396$	−261.722	−	174.877i	−0.660913	−	0.441608i
$397$	−73.7499	+	370.766i	−0.185768	+	0.933919i	0.769606	+	0.638519i	$0.220453\pi$
$397$	−73.7499	+	370.766i	−0.185768	+	0.933919i	−0.955374	+	0.295399i	$0.904547\pi$
$398$	324.866	−	217.068i	0.816246	−	0.545398i
$399$	−107.780	−	260.205i	−0.270126	−	0.652143i
$400$	431.632	−	178.788i	1.07908	−	0.446969i
$401$	245.941	+	368.077i	0.613320	+	0.917898i	0.999991	−	0.00431978i	$-0.00137503\pi$
$401$	245.941	+	368.077i	0.613320	+	0.917898i	−0.386671	+	0.922218i	$0.626375\pi$
$402$	342.442	+	68.1160i	0.851846	+	0.169443i
$403$	−169.935	+	254.325i	−0.421674	+	0.631080i
$404$	506.006	−	506.006i	1.25249	−	1.25249i
$405$	−29.9264	+	5.95273i	−0.0738923	+	0.0146981i
$406$	347.172	−	838.147i	0.855103	−	2.06440i
$407$			87.5530i			0.215118i
$408$	−989.184	+	196.761i	−2.42447	+	0.482257i
$409$	315.634			0.771721			0.385861	−	0.922557i	$-0.373905\pi$
$409$	315.634			0.771721			0.385861	+	0.922557i	$0.373905\pi$
$410$	−13.9762	−	5.78914i	−0.0340883	−	0.0141198i
$411$	57.2619	+	287.875i	0.139323	+	0.700425i
$412$	−409.545	−	409.545i	−0.994041	−	0.994041i
$413$	−491.756	−	328.581i	−1.19069	−	0.795596i
$414$	−47.3399	+	237.994i	−0.114347	+	0.574864i
$415$	−8.04550	+	5.37583i	−0.0193867	+	0.0129538i
$416$	42.7859	+	103.294i	0.102851	+	0.248304i
$417$	−527.579	+	218.530i	−1.26518	+	0.524054i
$418$	−109.567	−	163.979i	−0.262122	−	0.392294i
$419$	−360.432	−	71.6944i	−0.860220	−	0.171108i	−0.254780	−	0.966999i	$-0.582003\pi$
$419$	−360.432	−	71.6944i	−0.860220	−	0.171108i	−0.605440	+	0.795891i	$0.707003\pi$
$420$	39.6566	−	59.3503i	0.0944205	−	0.141310i
$421$	115.154	−	115.154i	0.273526	−	0.273526i	−0.556992	−	0.830518i	$-0.688045\pi$
$421$	115.154	−	115.154i	0.273526	−	0.273526i	0.830518	+	0.556992i	$0.188045\pi$
$422$	−206.367	+	41.0489i	−0.489020	+	0.0972722i
$423$	−92.2977	+	222.826i	−0.218198	+	0.526776i
$424$			274.877i			0.648295i
$425$		−	423.224i		−	0.995821i
$426$	−183.956			−0.431822
$427$	410.063	+	169.854i	0.960336	+	0.397784i
$428$	−242.865	−	1220.96i	−0.567442	−	2.85272i
$429$	262.184	+	262.184i	0.611152	+	0.611152i
$430$	58.3036	+	38.9572i	0.135590	+	0.0905981i
$431$	12.7657	−	64.1776i	0.0296188	−	0.148904i	−0.963146	−	0.268979i	$-0.913314\pi$
$431$	12.7657	−	64.1776i	0.0296188	−	0.148904i	0.992765	+	0.120075i	$0.0383136\pi$
$432$	117.911	−	78.7857i	0.272942	−	0.182374i
$433$	219.389	+	529.652i	0.506672	+	1.22321i	0.945788	+	0.324784i	$0.105291\pi$
$433$	219.389	+	529.652i	0.506672	+	1.22321i	−0.439117	+	0.898430i	$0.644709\pi$
$434$	−384.580	+	159.298i	−0.886130	+	0.367047i
$435$	27.9748	+	41.8672i	0.0643099	+	0.0962465i
$436$	1201.56	+	239.005i	2.75587	+	0.548178i
$437$	−56.8312	+	85.0540i	−0.130049	+	0.194631i
$438$	−768.287	+	768.287i	−1.75408	+	1.75408i
$439$	−730.735	+	145.352i	−1.66454	+	0.331098i	−0.935489	−	0.353357i	$-0.885040\pi$
$439$	−730.735	+	145.352i	−1.66454	+	0.331098i	−0.729055	+	0.684455i	$0.760040\pi$
$440$	9.82677	−	23.7239i	0.0223336	−	0.0539180i
$441$		−	30.5351i		−	0.0692406i
$442$	1021.21			2.31044
$443$	283.047			0.638932			0.319466	−	0.947598i	$-0.396497\pi$
$443$	283.047			0.638932			0.319466	+	0.947598i	$0.396497\pi$
$444$	496.926	+	205.833i	1.11920	+	0.463589i
$445$	1.12917	+	5.67670i	0.00253745	+	0.0127566i
$446$	−116.928	−	116.928i	−0.262170	−	0.262170i
$447$	809.109	+	540.629i	1.81009	+	1.20946i
$448$	68.2365	−	343.048i	0.152314	−	0.765732i
$449$	−531.242	+	354.965i	−1.18317	+	0.790567i	−0.981980	−	0.188985i	$-0.939480\pi$
$449$	−531.242	+	354.965i	−1.18317	+	0.790567i	−0.201188	+	0.979553i	$0.564480\pi$
$450$	−237.110	−	572.434i	−0.526911	−	1.27208i
$451$	66.4771	−	27.5357i	0.147399	−	0.0610548i
$452$	21.1977	+	31.7246i	0.0468976	+	0.0701872i
$453$	23.1963	+	4.61403i	0.0512060	+	0.0101855i
$454$	712.683	−	1066.61i	1.56979	−	2.34935i
$455$	−26.2560	+	26.2560i	−0.0577054	+	0.0577054i
$456$	−610.483	+	121.433i	−1.33878	+	0.266300i
$457$	−293.928	+	709.605i	−0.643169	+	1.55275i	0.179213	+	0.983810i	$0.442645\pi$
$457$	−293.928	+	709.605i	−0.643169	+	1.55275i	−0.822382	+	0.568936i	$0.807355\pi$
$458$			952.939i			2.08065i
$459$	−25.0620	−	125.995i	−0.0546014	−	0.274500i
$460$	−25.9253			−0.0563594
$461$	265.064	+	109.793i	0.574977	+	0.238163i	0.651173	−	0.758930i	$-0.274277\pi$
$461$	265.064	+	109.793i	0.574977	+	0.238163i	−0.0761956	+	0.997093i	$0.524277\pi$
$462$	98.4432	+	494.908i	0.213081	+	1.07123i
$463$	−273.146	−	273.146i	−0.589948	−	0.589948i	0.347669	−	0.937617i	$-0.386973\pi$
$463$	−273.146	−	273.146i	−0.589948	−	0.589948i	−0.937617	+	0.347669i	$0.886973\pi$
$464$	−605.451	−	404.549i	−1.30485	−	0.871874i
$465$	4.50745	−	22.6605i	0.00969343	−	0.0487322i
$466$	−980.263	+	654.991i	−2.10357	+	1.40556i
$467$	40.9518	+	98.8664i	0.0876912	+	0.211705i	0.961641	−	0.274311i	$-0.0884497\pi$
$467$	40.9518	+	98.8664i	0.0876912	+	0.211705i	−0.873950	+	0.486016i	$0.838450\pi$
$468$	929.351	−	384.950i	1.98579	−	0.822543i
$469$	−92.3966	−	138.281i	−0.197008	−	0.294843i
$470$	−37.5621	−	7.47156i	−0.0799193	−	0.0158969i
$471$	418.959	−	627.017i	0.889510	−	1.33125i
$472$	−924.248	+	924.248i	−1.95815	+	1.95815i
$473$	−327.118	+	65.0679i	−0.691582	+	0.137564i
$474$	519.297	−	1253.69i	1.09556	−	2.64492i
$475$		−	261.196i		−	0.549887i
$476$	777.499	+	519.508i	1.63340	+	1.09140i
$477$	132.397			0.277562
$478$	424.350	+	175.771i	0.887761	+	0.367723i
$479$	42.7209	+	214.772i	0.0891877	+	0.448377i	0.999413	+	0.0342630i	$0.0109084\pi$
$479$	42.7209	+	214.772i	0.0891877	+	0.448377i	−0.910225	+	0.414114i	$0.864092\pi$
$480$	−5.97170	−	5.97170i	−0.0124410	−	0.0124410i
$481$	−232.642	−	155.447i	−0.483664	−	0.323174i
$482$	−107.610	+	540.991i	−0.223257	+	1.12239i
$483$	217.622	−	145.411i	0.450564	−	0.301057i
$484$	−289.935	−	699.966i	−0.599040	−	1.44621i
$485$	10.5452	−	4.36797i	0.0217427	−	0.00900612i
$486$	−604.086	−	904.079i	−1.24298	−	1.86024i
$487$	−735.017	−	146.204i	−1.50927	−	0.300213i	−0.630025	−	0.776575i	$-0.716955\pi$
$487$	−735.017	−	146.204i	−1.50927	−	0.300213i	−0.879250	+	0.476361i	$0.841955\pi$
$488$	544.972	−	815.609i	1.11675	−	1.67133i
$489$	−147.703	+	147.703i	−0.302052	+	0.302052i
$490$	4.75552	−	0.945932i	0.00970515	−	0.00193047i
$491$	157.593	−	380.463i	0.320963	−	0.774874i	−0.678235	−	0.734845i	$-0.737255\pi$
$491$	157.593	−	380.463i	0.320963	−	0.774874i	0.999199	−	0.0400289i	$-0.0127450\pi$
$492$		−	442.040i		−	0.898455i
$493$	−548.468	+	366.475i	−1.11251	+	0.743356i
$494$	630.250			1.27581
$495$	−11.4268	−	4.73316i	−0.0230845	−	0.00956193i
$496$	65.1831	+	327.698i	0.131418	+	0.660681i
$497$	61.9588	+	61.9588i	0.124666	+	0.124666i
$498$	−349.407	−	233.466i	−0.701620	−	0.468808i
$499$	111.465	−	560.372i	0.223377	−	1.12299i	−0.692465	−	0.721451i	$-0.743475\pi$
$499$	111.465	−	560.372i	0.223377	−	1.12299i	0.915842	−	0.401539i	$-0.131525\pi$
$500$	110.314	−	73.7093i	0.220628	−	0.147419i
$501$	−432.262	−	1043.57i	−0.862799	−	2.08298i
$502$	−156.771	+	64.9367i	−0.312293	+	0.129356i
$503$	107.455	+	160.819i	0.213629	+	0.319719i	0.922772	−	0.385346i	$-0.125918\pi$
$503$	107.455	+	160.819i	0.213629	+	0.319719i	−0.709143	+	0.705065i	$0.750918\pi$
$504$	689.796	+	137.209i	1.36864	+	0.272240i
$505$	15.6217	−	23.3795i	0.0309340	−	0.0462960i
$506$	129.593	−	129.593i	0.256114	−	0.256114i
$507$	−496.717	+	98.8032i	−0.979719	+	0.194878i
$508$	−593.512	+	1432.86i	−1.16833	+	2.82060i
$509$			252.053i			0.495193i	0.968863	+	0.247596i	$0.0796407\pi$
$509$			252.053i			0.495193i	−0.968863	+	0.247596i	$0.920359\pi$
$510$	−71.2661	+	29.5194i	−0.139737	+	0.0578812i
$511$	517.538			1.01279
$512$	−912.003	−	377.764i	−1.78126	−	0.737820i
$513$	−15.4673	−	77.7591i	−0.0301506	−	0.151577i
$514$	193.433	+	193.433i	0.376329	+	0.376329i
$515$	−18.9226	−	12.6437i	−0.0367429	−	0.0245508i
$516$	−399.735	+	2009.60i	−0.774679	+	3.89458i
$517$	151.462	−	101.204i	0.292964	−	0.195752i
$518$	−145.717	−	351.792i	−0.281307	−	0.679136i
$519$	872.922	−	361.576i	1.68193	−	0.696679i
$520$	45.5913	+	68.2321i	0.0876755	+	0.131216i
$521$	649.143	+	129.123i	1.24596	+	0.247836i	0.773658	−	0.633603i	$-0.218425\pi$
$521$	649.143	+	129.123i	1.24596	+	0.247836i	0.472298	+	0.881439i	$0.343425\pi$
$522$	−536.517	+	802.955i	−1.02781	+	1.53823i
$523$	348.472	−	348.472i	0.666294	−	0.666294i	−0.290562	−	0.956856i	$-0.593842\pi$
$523$	348.472	−	348.472i	0.666294	−	0.666294i	0.956856	+	0.290562i	$0.0938422\pi$
$524$	777.935	−	154.741i	1.48461	−	0.295307i
$525$	−255.750	+	617.435i	−0.487142	+	1.17607i
$526$		−	177.582i		−	0.337609i
$527$	296.856	+	59.0483i	0.563294	+	0.112046i
$528$	405.021			0.767086
$529$	400.907	+	166.061i	0.757858	+	0.313915i
$530$	4.10146	+	20.6195i	0.00773861	+	0.0389046i
$531$	445.173	+	445.173i	0.838367	+	0.838367i
$532$	479.840	+	320.619i	0.901955	+	0.602667i
$533$	−44.8605	+	225.529i	−0.0841660	+	0.423131i
$534$	−209.000	+	139.650i	−0.391386	+	0.261516i
$535$	−18.7192	−	45.1921i	−0.0349891	−	0.0844712i
$536$	−339.572	+	140.655i	−0.633530	+	0.262417i
$537$	−336.293	−	503.298i	−0.626244	−	0.937240i
$538$	−87.4326	−	17.3914i	−0.162514	−	0.0323261i
$539$	−12.8128	+	19.1758i	−0.0237715	+	0.0355766i
$540$	14.2082	−	14.2082i	0.0263115	−	0.0263115i
$541$	107.759	−	21.4346i	0.199185	−	0.0396203i	−0.0944895	−	0.995526i	$-0.530122\pi$
$541$	107.759	−	21.4346i	0.199185	−	0.0396203i	0.293674	+	0.955906i	$0.405122\pi$
$542$	−113.392	+	273.752i	−0.209210	+	0.505077i
$543$			289.885i			0.533858i
$544$	78.2303	−	78.2303i	0.143806	−	0.143806i
$545$	48.1382			0.0883270
$546$	−1489.83	−	617.108i	−2.72863	−	1.13023i
$547$	−6.45198	−	32.4363i	−0.0117952	−	0.0592985i	0.974439	−	0.224650i	$-0.0721240\pi$
$547$	−6.45198	−	32.4363i	−0.0117952	−	0.0592985i	−0.986235	+	0.165352i	$0.947124\pi$
$548$	−425.270	−	425.270i	−0.776040	−	0.776040i
$549$	−392.846	−	262.491i	−0.715566	−	0.478126i
$550$	−91.2962	+	458.977i	−0.165993	+	0.834504i
$551$	−338.492	+	226.173i	−0.614322	+	0.410477i
$552$	−221.359	−	534.407i	−0.401012	−	0.968128i
$553$	−597.166	+	247.354i	−1.07987	+	0.447295i
$554$	386.239	+	578.047i	0.697181	+	1.04341i
$555$	20.7285	+	4.12316i	0.0373487	+	0.00742911i
$556$	650.071	−	972.901i	1.16919	−	1.74982i
$557$	290.610	−	290.610i	0.521741	−	0.521741i	−0.396356	−	0.918097i	$-0.629725\pi$
$557$	290.610	−	290.610i	0.521741	−	0.521741i	0.918097	+	0.396356i	$0.129725\pi$
$558$	434.596	−	86.4464i	0.778845	−	0.154922i
$559$	407.889	−	984.732i	0.729676	−	1.76159i
$560$			40.5601i			0.0724287i
$561$	140.407	−	338.973i	0.250280	−	0.604230i
$562$	1108.90			1.97313
$563$	−897.515	−	371.763i	−1.59417	−	0.660325i	−0.603591	−	0.797294i	$-0.706264\pi$
$563$	−897.515	−	371.763i	−1.59417	−	0.660325i	−0.990575	+	0.136969i	$0.956264\pi$
$564$	−218.323	−	1097.58i	−0.387097	−	1.94607i
$565$	1.06012	+	1.06012i	0.00187631	+	0.00187631i
$566$	413.584	+	276.348i	0.730715	+	0.488248i
$567$	−123.140	+	619.065i	−0.217178	+	1.09183i
$568$	161.014	−	107.586i	0.283475	−	0.189412i
$569$	361.742	+	873.322i	0.635750	+	1.53484i	0.832290	+	0.554340i	$0.187029\pi$
$569$	361.742	+	873.322i	0.635750	+	1.53484i	−0.196540	+	0.980496i	$0.562971\pi$
$570$	−43.9825	+	18.2181i	−0.0771623	+	0.0319617i
$571$	449.530	+	672.769i	0.787268	+	1.17823i	0.980392	+	0.197055i	$0.0631378\pi$
$571$	449.530	+	672.769i	0.787268	+	1.17823i	−0.193125	+	0.981174i	$0.561862\pi$
$572$	−745.153	−	148.220i	−1.30272	−	0.259126i
$573$	73.8010	−	110.451i	0.128798	−	0.192759i
$574$	−221.280	+	221.280i	−0.385505	+	0.385505i
$575$	238.066	−	47.3543i	0.414028	−	0.0823553i
$576$	−142.482	+	343.982i	−0.247365	+	0.597192i
$577$		−	220.320i		−	0.381837i	−0.981606	−	0.190919i	$-0.938853\pi$
$577$		−	220.320i		−	0.381837i	0.981606	−	0.190919i	$-0.0611466\pi$
$578$	−386.709	−	933.598i	−0.669047	−	1.61522i
$579$	−1475.11			−2.54769
$580$	−95.3220	−	39.4837i	−0.164348	−	0.0680753i
$581$	39.0503	+	196.319i	0.0672122	+	0.337899i
$582$	350.512	+	350.512i	0.602255	+	0.602255i
$583$	−83.1442	−	55.5552i	−0.142614	−	0.0952919i
$584$	223.140	−	1121.80i	0.382089	−	1.92089i
$585$	32.8647	−	21.9595i	0.0561789	−	0.0375375i
$586$	261.509	+	631.338i	0.446260	+	1.07737i
$587$	−240.089	+	99.4482i	−0.409011	+	0.169418i	−0.577696	−	0.816252i	$-0.696048\pi$
$587$	−240.089	+	99.4482i	−0.409011	+	0.169418i	0.168685	+	0.985670i	$0.446048\pi$
$588$	78.7137	+	117.803i	0.133867	+	0.200346i
$589$	183.207	+	36.4422i	0.311048	+	0.0618712i
$590$	−55.5402	+	83.1217i	−0.0941358	+	0.140884i
$591$	−201.380	+	201.380i	−0.340744	+	0.340744i
$592$	−299.759	+	59.6258i	−0.506350	+	0.100719i
$593$	266.204	−	642.674i	0.448911	−	1.08377i	−0.523820	−	0.851829i	$-0.675493\pi$
$593$	266.204	−	642.674i	0.448911	−	1.08377i	0.972731	−	0.231938i	$-0.0745066\pi$
$594$			142.046i			0.239134i
$595$	33.9458	+	14.0608i	0.0570518	+	0.0236316i
$596$	−1993.93			−3.34553
$597$	414.456	+	171.673i	0.694231	+	0.287560i
$598$	114.263	+	574.439i	0.191075	+	0.960600i
$599$	59.4784	+	59.4784i	0.0992962	+	0.0992962i	0.755010	−	0.655714i	$-0.227632\pi$
$599$	59.4784	+	59.4784i	0.0992962	+	0.0992962i	−0.655714	+	0.755010i	$0.727632\pi$
$600$	1228.07	+	820.567i	2.04678	+	1.36761i
$601$	164.629	−	827.648i	0.273926	−	1.37712i	−0.561483	−	0.827488i	$-0.689769\pi$
$601$	164.629	−	827.648i	0.273926	−	1.37712i	0.835409	−	0.549629i	$-0.185231\pi$
$602$	1206.08	−	805.879i	2.00346	−	1.33867i
$603$	67.7480	+	163.558i	0.112352	+	0.271241i
$604$	−44.7724	+	18.5453i	−0.0741265	+	0.0307042i
$605$	−16.5394	−	24.7529i	−0.0273378	−	0.0409139i
$606$	1197.68	+	238.233i	1.97637	+	0.393125i
$607$	−337.396	+	504.948i	−0.555841	+	0.831875i	−0.997877	−	0.0651223i	$-0.979256\pi$
$607$	−337.396	+	504.948i	−0.555841	+	0.831875i	0.442036	+	0.896997i	$0.354256\pi$
$608$	48.2805	−	48.2805i	0.0794087	−	0.0794087i
$609$	1021.61	−	203.210i	1.67752	−	0.333679i
$610$	28.7104	−	69.3131i	0.0470663	−	0.113628i
$611$			582.143i			0.952771i
$612$	−703.847	−	703.847i	−1.15008	−	1.15008i
$613$	−725.589			−1.18367			−0.591834	−	0.806060i	$-0.701596\pi$
$613$	−725.589			−1.18367			−0.591834	+	0.806060i	$0.701596\pi$
$614$	637.898	+	264.226i	1.03892	+	0.430335i
$615$	−3.38856	−	17.0354i	−0.00550986	−	0.0276999i
$616$	−375.611	−	375.611i	−0.609758	−	0.609758i
$617$	−222.670	−	148.783i	−0.360892	−	0.241140i	0.361883	−	0.932223i	$-0.382134\pi$
$617$	−222.670	−	148.783i	−0.360892	−	0.241140i	−0.722775	+	0.691083i	$0.757134\pi$
$618$	192.819	−	969.364i	0.312004	−	1.56855i
$619$	480.729	−	321.213i	0.776622	−	0.518922i	−0.102951	−	0.994686i	$-0.532828\pi$
$619$	480.729	−	321.213i	0.776622	−	0.518922i	0.879573	+	0.475764i	$0.157828\pi$
$620$	18.1169	+	43.7381i	0.0292208	+	0.0705453i
$621$	68.0690	−	28.1951i	0.109612	−	0.0454028i
$622$	6.22990	+	9.32370i	0.0100159	+	0.0149899i
$623$	117.430	+	23.3582i	0.188491	+	0.0374931i
$624$	−719.098	+	1076.21i	−1.15240	+	1.72469i
$625$	−436.408	+	436.408i	−0.698254	+	0.698254i
$626$	−1231.78	+	245.016i	−1.96769	+	0.391399i
$627$	86.6536	−	209.200i	0.138203	−	0.333653i
$628$			1545.19i			2.46050i
$629$	−54.0141	+	271.547i	−0.0858729	+	0.431712i
$630$	53.7912			0.0853828
$631$	−20.5985	−	8.53217i	−0.0326442	−	0.0135217i	0.366302	−	0.930496i	$-0.380624\pi$
$631$	−20.5985	−	8.53217i	−0.0326442	−	0.0135217i	−0.398946	+	0.916975i	$0.630624\pi$
$632$	278.686	+	1401.05i	0.440959	+	2.21685i
$633$	−170.827	−	170.827i	−0.269868	−	0.269868i
$634$	−1729.96	−	1155.92i	−2.72864	−	1.82322i
$635$	−11.8890	+	59.7698i	−0.0187228	+	0.0941257i
$636$	−510.784	+	341.295i	−0.803119	+	0.536627i
$637$	−28.2045	−	68.0916i	−0.0442770	−	0.106894i
$638$	673.856	−	279.120i	1.05620	−	0.437493i
$639$	−51.8199	−	77.5539i	−0.0810953	−	0.121368i
$640$	−66.2382	−	13.1756i	−0.103497	−	0.0205869i
$641$	357.692	−	535.323i	0.558021	−	0.835138i	−0.440001	−	0.897997i	$-0.645022\pi$
$641$	357.692	−	535.323i	0.558021	−	0.835138i	0.998022	+	0.0628592i	$0.0200219\pi$
$642$	1502.14	−	1502.14i	2.33978	−	2.33978i
$643$	795.840	−	158.302i	1.23770	−	0.246193i	0.467497	−	0.883995i	$-0.345156\pi$
$643$	795.840	−	158.302i	1.23770	−	0.246193i	0.770201	+	0.637801i	$0.220156\pi$
$644$	−205.233	+	495.475i	−0.318684	+	0.769372i
$645$			80.5108i			0.124823i
$646$	−238.661	−	576.178i	−0.369444	−	0.891916i
$647$	−282.991			−0.437390			−0.218695	−	0.975793i	$-0.570180\pi$
$647$	−282.991			−0.437390			−0.218695	+	0.975793i	$0.570180\pi$
$648$	1288.78	+	533.829i	1.98885	+	0.823810i
$649$	−92.7654	−	466.363i	−0.142936	−	0.718588i
$650$	−1057.48	−	1057.48i	−1.62690	−	1.62690i
$651$	−397.396	−	265.531i	−0.610439	−	0.407882i
$652$	83.5009	−	419.788i	0.128069	−	0.643846i
$653$	−768.137	+	513.252i	−1.17632	+	0.785991i	−0.980859	−	0.194720i	$-0.937620\pi$
$653$	−768.137	+	513.252i	−1.17632	+	0.785991i	−0.195460	+	0.980712i	$0.562620\pi$
$654$	800.034	+	1931.45i	1.22329	+	2.95329i
$655$	28.7941	−	11.9269i	0.0439604	−	0.0182090i
$656$	139.548	+	208.848i	0.212725	+	0.318366i
$657$	−540.326	−	107.478i	−0.822414	−	0.163588i
$658$	−440.146	+	658.726i	−0.668915	+	1.00110i
$659$	−522.523	+	522.523i	−0.792903	+	0.792903i	−0.981965	−	0.189062i	$-0.939455\pi$
$659$	−522.523	+	522.523i	−0.792903	+	0.792903i	0.189062	+	0.981965i	$0.439455\pi$
$660$	56.2856	−	11.1959i	0.0852812	−	0.0169635i
$661$	−78.4494	+	189.393i	−0.118683	+	0.286526i	−0.972046	−	0.234792i	$-0.924559\pi$
$661$	−78.4494	+	189.393i	−0.118683	+	0.286526i	0.853363	+	0.521317i	$0.174559\pi$
$662$		−	1624.58i		−	2.45405i
$663$	651.419	+	974.918i	0.982533	+	1.47046i
$664$	442.373			0.666224
$665$	20.9500	+	8.67776i	0.0315037	+	0.0130493i
$666$	79.0763	+	397.544i	0.118733	+	0.596912i
$667$	−267.512	−	267.512i	−0.401068	−	0.401068i
$668$	1924.44	+	1285.87i	2.88090	+	1.92495i
$669$	37.0403	−	186.214i	0.0553667	−	0.278347i
$670$	−23.3737	+	15.6178i	−0.0348861	+	0.0233102i
$671$	136.560	+	329.684i	0.203516	+	0.491332i
$672$	−161.403	+	66.8552i	−0.240182	+	0.0994868i
$673$	128.896	+	192.907i	0.191525	+	0.286637i	0.914787	−	0.403936i	$-0.132358\pi$
$673$	128.896	+	192.907i	0.191525	+	0.286637i	−0.723262	+	0.690573i	$0.757358\pi$
$674$	−375.814	−	74.7540i	−0.557587	−	0.110911i
$675$	−104.518	+	156.423i	−0.154842	+	0.231737i
$676$	733.788	−	733.788i	1.08548	−	1.08548i
$677$	806.923	−	160.507i	1.19191	−	0.237086i	0.441010	−	0.897502i	$-0.354620\pi$
$677$	806.923	−	160.507i	1.19191	−	0.237086i	0.750900	+	0.660416i	$0.229620\pi$
$678$	−24.9165	+	60.1537i	−0.0367500	+	0.0887223i
$679$		−	236.114i		−	0.347738i
$680$	45.1139	−	67.5177i	0.0663439	−	0.0992907i
$681$	1472.86			2.16280
$682$	−309.196	−	128.073i	−0.453366	−	0.187791i
$683$	−94.1244	−	473.195i	−0.137810	−	0.692819i	−0.986478	−	0.163893i	$-0.947595\pi$
$683$	−94.1244	−	473.195i	−0.137810	−	0.692819i	0.848668	−	0.528926i	$-0.177405\pi$
$684$	−434.385	−	434.385i	−0.635066	−	0.635066i
$685$	−19.6492	−	13.1292i	−0.0286849	−	0.0191666i
$686$	243.069	−	1221.99i	0.354329	−	1.78133i
$687$	−909.739	+	607.868i	−1.32422	+	0.884815i
$688$	−445.552	−	1075.66i	−0.647604	−	1.56346i
$689$	295.238	−	122.292i	0.428502	−	0.177491i
$690$	−24.5788	−	36.7847i	−0.0356214	−	0.0533112i
$691$	47.8285	+	9.51367i	0.0692163	+	0.0137680i	0.229577	−	0.973291i	$-0.426266\pi$
$691$	47.8285	+	9.51367i	0.0692163	+	0.0137680i	−0.160361	+	0.987058i	$0.551266\pi$
$692$	−1075.60	+	1609.74i	−1.55433	+	2.32622i
$693$	−180.917	+	180.917i	−0.261063	+	0.261063i
$694$	−1412.61	+	280.985i	−2.03546	+	0.404877i
$695$	17.5946	−	42.4772i	0.0253160	−	0.0611182i
$696$		−	2302.02i		−	3.30751i
$697$	223.167	−	44.3907i	0.320183	−	0.0636883i
$698$	−60.8484			−0.0871754
$699$	−1250.60	−	518.014i	−1.78912	−	0.741078i
$700$	−267.154	−	1343.07i	−0.381648	−	1.91867i
$701$	243.022	+	243.022i	0.346679	+	0.346679i	0.858871	−	0.512192i	$-0.171166\pi$
$701$	243.022	+	243.022i	0.346679	+	0.346679i	−0.512192	+	0.858871i	$0.671166\pi$
$702$	−377.438	−	252.196i	−0.537661	−	0.359253i
$703$	−33.3352	+	167.588i	−0.0474185	+	0.238389i
$704$	233.816	−	156.231i	0.332125	−	0.221919i
$705$	−16.8275	−	40.6253i	−0.0238689	−	0.0576245i
$706$	296.921	−	122.989i	0.420568	−	0.174205i
$707$	−323.154	−	483.634i	−0.457078	−	0.684065i
$708$	−2865.03	−	569.890i	−4.04665	−	0.804930i
$709$	−304.987	+	456.445i	−0.430164	+	0.643786i	−0.981715	−	0.190355i	$-0.939036\pi$
$709$	−304.987	+	456.445i	−0.430164	+	0.643786i	0.551551	+	0.834141i	$0.314036\pi$
$710$	10.4729	−	10.4729i	0.0147506	−	0.0147506i
$711$	674.829	−	134.232i	0.949126	−	0.188793i
$712$	101.261	−	244.466i	0.142221	−	0.343352i
$713$			173.590i			0.243464i
$714$			1595.70i			2.23487i
$715$	−29.8531			−0.0417526
$716$	1145.89	+	474.644i	1.60041	+	0.662911i
$717$	102.884	+	517.235i	0.143493	+	0.721388i
$718$	1362.78	+	1362.78i	1.89802	+	1.89802i
$719$	−293.214	−	195.919i	−0.407808	−	0.272488i	0.334702	−	0.942324i	$-0.391365\pi$
$719$	−293.214	−	195.919i	−0.407808	−	0.272488i	−0.742509	+	0.669836i	$0.766365\pi$
$720$	8.42315	−	42.3460i	0.0116988	−	0.0588139i
$721$	−391.438	+	261.551i	−0.542910	+	0.362761i
$722$	335.760	+	810.597i	0.465042	+	1.12271i
$723$	−585.109	+	242.360i	−0.809279	+	0.335214i
$724$	−330.001	−	493.881i	−0.455802	−	0.682156i
$725$	947.438	+	188.457i	1.30681	+	0.259941i
$726$	718.286	−	1074.99i	0.989374	−	1.48070i
$727$	106.227	−	106.227i	0.146117	−	0.146117i	−0.630264	−	0.776381i	$-0.717053\pi$
$727$	106.227	−	106.227i	0.146117	−	0.146117i	0.776381	+	0.630264i	$0.217053\pi$
$728$	1664.94	−	331.177i	2.28701	−	0.454914i
$729$	152.636	−	368.495i	0.209377	−	0.505480i
$730$		−	87.4796i		−	0.119835i
$731$	−1054.70			−1.44282
$732$	2192.24			2.99486
$733$	413.283	+	171.187i	0.563823	+	0.233543i	0.646344	−	0.763046i	$-0.276297\pi$
$733$	413.283	+	171.187i	0.563823	+	0.233543i	−0.0825208	+	0.996589i	$0.526297\pi$
$734$	407.012	+	2046.19i	0.554512	+	2.78772i
$735$	3.93654	+	3.93654i	0.00535584	+	0.00535584i
$736$	52.7582	+	35.2519i	0.0716823	+	0.0478966i
$737$	26.0855	−	131.141i	0.0353942	−	0.177939i
$738$	276.976	−	185.070i	0.375307	−	0.250772i
$739$	−102.139	−	246.586i	−0.138213	−	0.333675i	0.839584	−	0.543230i	$-0.182799\pi$
$739$	−102.139	−	246.586i	−0.138213	−	0.333675i	−0.977797	+	0.209554i	$0.932799\pi$
$740$	−40.0092	+	16.5723i	−0.0540664	+	0.0223951i
$741$	402.029	+	601.679i	0.542549	+	0.811982i
$742$	426.540	+	84.8440i	0.574851	+	0.114345i
$743$	404.341	−	605.139i	0.544200	−	0.814453i	−0.452819	−	0.891602i	$-0.649582\pi$
$743$	404.341	−	605.139i	0.544200	−	0.814453i	0.997020	+	0.0771491i	$0.0245817\pi$
$744$	−746.899	+	746.899i	−1.00390	+	1.00390i
$745$	−76.8427	+	15.2850i	−0.103145	+	0.0205167i
$746$	−659.993	+	1593.36i	−0.884710	+	2.13588i
$747$		−	213.073i		−	0.285238i
$748$	146.668	+	737.350i	0.196080	+	0.985763i
$749$	−1011.88			−1.35098
$750$	209.168	+	86.6403i	0.278891	+	0.115520i
$751$	−32.1402	−	161.580i	−0.0427965	−	0.215153i	0.953469	−	0.301490i	$-0.0974838\pi$
$751$	−32.1402	−	161.580i	−0.0427965	−	0.215153i	−0.996266	+	0.0863369i	$0.972484\pi$
$752$	449.646	+	449.646i	0.597934	+	0.597934i
$753$	−161.995	−	108.242i	−0.215133	−	0.143747i
$754$	−454.736	+	2286.11i	−0.603097	+	3.03198i
$755$	−1.58329	+	1.05792i	−0.00209707	+	0.00140122i
$756$	−159.065	−	384.018i	−0.210404	−	0.507960i
$757$	210.565	−	87.2188i	0.278157	−	0.115216i	−0.239244	−	0.970959i	$-0.576900\pi$
$757$	210.565	−	87.2188i	0.278157	−	0.115216i	0.517401	+	0.855743i	$0.326900\pi$
$758$	−1388.37	−	2077.84i	−1.83162	−	2.74122i
$759$	206.385	+	41.0525i	0.271917	+	0.0540876i
$760$	27.8424	−	41.6691i	0.0366347	−	0.0548278i
$761$	66.2499	−	66.2499i	0.0870564	−	0.0870564i	−0.662238	−	0.749294i	$-0.730393\pi$
$761$	66.2499	−	66.2499i	0.0870564	−	0.0870564i	0.749294	+	0.662238i	$0.230393\pi$
$762$	−2595.74	+	516.324i	−3.40648	+	0.677590i
$763$	381.076	−	920.000i	0.499445	−	1.20577i
$764$			272.191i			0.356271i
$765$	−32.5205	−	21.7295i	−0.0425105	−	0.0284046i
$766$	−2236.43			−2.91962
$767$	1403.90	+	581.516i	1.83038	+	0.758169i
$768$	−408.321	−	2052.77i	−0.531668	−	2.67288i
$769$	967.890	+	967.890i	1.25864	+	1.25864i	0.951745	+	0.306890i	$0.0992885\pi$
$769$	967.890	+	967.890i	1.25864	+	1.25864i	0.306890	+	0.951745i	$0.400712\pi$
$770$	−33.7804	−	22.5713i	−0.0438706	−	0.0293134i
$771$	−61.2756	+	308.053i	−0.0794754	+	0.399550i
$772$	2513.17	−	1679.25i	3.25540	−	2.17519i
$773$	−563.479	−	1360.36i	−0.728951	−	1.75984i	−0.646064	−	0.763283i	$-0.723586\pi$
$773$	−563.479	−	1360.36i	−0.728951	−	1.75984i	−0.0828868	−	0.996559i	$-0.526414\pi$
$774$	−1426.55	+	590.895i	−1.84308	+	0.763430i
$775$	−246.254	−	368.545i	−0.317747	−	0.475542i
$776$	−511.794	−	101.802i	−0.659529	−	0.131188i
$777$	242.893	−	363.515i	0.312604	−	0.467845i
$778$	419.178	−	419.178i	0.538790	−	0.538790i
$779$	137.730	−	27.3961i	0.176803	−	0.0351683i
$780$	−70.1834	+	169.438i	−0.0899787	+	0.217228i
$781$			70.4473i			0.0902014i
$782$	481.886	−	321.986i	0.616223	−	0.411747i
$783$	293.216			0.374478
$784$	−74.3789	−	30.8087i	−0.0948710	−	0.0392969i
$785$	11.8450	+	59.5490i	0.0150892	+	0.0758586i
$786$	957.087	+	957.087i	1.21767	+	1.21767i
$787$	370.123	+	247.308i	0.470296	+	0.314242i	0.768038	−	0.640405i	$-0.221233\pi$
$787$	370.123	+	247.308i	0.470296	+	0.314242i	−0.297741	+	0.954647i	$0.596233\pi$
$788$	113.846	−	572.341i	0.144474	−	0.726321i
$789$	169.532	−	113.278i	0.214869	−	0.143571i
$790$	41.8104	+	100.939i	0.0529245	+	0.127771i
$791$	28.6527	−	11.8683i	0.0362234	−	0.0150042i
$792$	314.146	+	470.153i	0.396650	+	0.593628i
$793$	−1118.48	−	222.479i	−1.41044	−	0.280554i
$794$	734.364	−	1099.05i	0.924891	−	1.38420i
$795$	−17.0684	+	17.0684i	−0.0214697	+	0.0214697i
$796$	−901.544	+	179.328i	−1.13259	+	0.225287i
$797$	432.808	−	1044.89i	0.543047	−	1.31103i	−0.379517	−	0.925185i	$-0.623910\pi$
$797$	432.808	−	1044.89i	0.543047	−	1.31103i	0.922563	−	0.385846i	$-0.126090\pi$
$798$			984.797i			1.23408i
$799$	532.198	−	220.444i	0.666080	−	0.275900i
$800$	−162.018			−0.202522
$801$	−117.750	−	48.7735i	−0.147003	−	0.0608907i
$802$	−301.978	−	1518.14i	−0.376531	−	1.89295i
$803$	294.221	+	294.221i	0.366403	+	0.366403i
$804$	−682.991	−	456.360i	−0.849491	−	0.567612i
$805$	−4.11112	+	20.6680i	−0.00510699	+	0.0256746i
$806$	889.275	−	594.195i	1.10332	−	0.737214i
$807$	−39.1692	−	94.5627i	−0.0485368	−	0.117178i
$808$	−1187.64	+	491.938i	−1.46985	+	0.608834i
$809$	301.555	+	451.309i	0.372750	+	0.557860i	0.969663	−	0.244446i	$-0.0786061\pi$
$809$	301.555	+	451.309i	0.372750	+	0.557860i	−0.596913	+	0.802306i	$0.703606\pi$
$810$	104.641	+	20.8143i	0.129186	+	0.0256967i
$811$	−142.761	+	213.658i	−0.176031	+	0.263450i	−0.908985	−	0.416829i	$-0.863141\pi$
$811$	−142.761	+	213.658i	−0.176031	+	0.263450i	0.732953	+	0.680279i	$0.238141\pi$
$812$	−1509.19	+	1509.19i	−1.85861	+	1.85861i
$813$	−333.673	+	66.3717i	−0.410422	+	0.0816380i
$814$	117.154	−	282.835i	0.143924	−	0.347463i
$815$		−	16.8180i		−	0.0206356i
$816$	1256.18	+	249.870i	1.53944	+	0.306213i
$817$	−650.920			−0.796720
$818$	−1019.64	−	422.348i	−1.24650	−	0.516317i
$819$	−159.515	−	801.934i	−0.194768	−	0.979163i
$820$	25.1660	+	25.1660i	0.0306903	+	0.0306903i
$821$	−95.3346	−	63.7005i	−0.116120	−	0.0775890i	0.496154	−	0.868235i	$-0.334745\pi$
$821$	−95.3346	−	63.7005i	−0.116120	−	0.0775890i	−0.612274	+	0.790646i	$0.709745\pi$
$822$	200.222	−	1006.58i	0.243579	−	1.22456i
$823$	39.1842	−	26.1821i	0.0476115	−	0.0318130i	−0.531537	−	0.847035i	$-0.678385\pi$
$823$	39.1842	−	26.1821i	0.0476115	−	0.0318130i	0.579148	+	0.815222i	$0.303385\pi$
$824$	398.159	+	961.240i	0.483202	+	1.16655i
$825$	−496.407	+	205.618i	−0.601705	+	0.249234i
$826$	1148.92	+	1719.48i	1.39094	+	2.08169i
$827$	−760.064	−	151.186i	−0.919062	−	0.182813i	−0.287179	−	0.957877i	$-0.592718\pi$
$827$	−760.064	−	151.186i	−0.919062	−	0.182813i	−0.631883	+	0.775064i	$0.717718\pi$
$828$	317.165	−	474.671i	0.383050	−	0.573274i
$829$	616.043	−	616.043i	0.743116	−	0.743116i	−0.230060	−	0.973176i	$-0.573892\pi$
$829$	616.043	−	616.043i	0.743116	−	0.743116i	0.973176	+	0.230060i	$0.0738923\pi$
$830$	33.1839	−	6.60068i	0.0399806	−	0.00795263i
$831$	−305.465	+	737.458i	−0.367587	+	0.887435i
$832$			898.668i			1.08013i
$833$	−51.5693	+	51.5693i	−0.0619080	+	0.0619080i
$834$	1996.73			2.39416
$835$	84.0216	+	34.8029i	0.100625	+	0.0416801i
$836$	90.5175	+	455.062i	0.108275	+	0.544333i
$837$	−95.1348	−	95.1348i	−0.113662	−	0.113662i
$838$	1068.42	+	713.897i	1.27497	+	0.851905i
$839$	22.5961	−	113.598i	0.0269322	−	0.135397i	−0.964980	−	0.262324i	$-0.915511\pi$
$839$	22.5961	−	113.598i	0.0269322	−	0.135397i	0.991912	+	0.126926i	$0.0405112\pi$
$840$	−106.616	+	71.2386i	−0.126924	+	0.0848079i
$841$	−254.334	−	614.017i	−0.302419	−	0.730104i
$842$	−526.087	+	217.912i	−0.624806	+	0.258803i
$843$	707.355	+	1058.63i	0.839092	+	1.25579i
$844$	485.506	+	96.5732i	0.575244	+	0.114423i
$845$	22.6539	−	33.9039i	0.0268093	−	0.0401230i
$846$	596.325	−	596.325i	0.704876	−	0.704876i
$847$	−603.998	+	120.143i	−0.713103	+	0.141845i
$848$	133.584	−	322.499i	0.157528	−	0.380306i
$849$			571.115i			0.672691i
$850$	−566.313	+	1367.20i	−0.666250	+	1.60847i
$851$	−158.791			−0.186593
$852$	399.839	+	165.619i	0.469294	+	0.194388i
$853$	−25.8470	−	129.942i	−0.0303013	−	0.152335i	0.962673	−	0.270669i	$-0.0872447\pi$
$853$	−25.8470	−	129.942i	−0.0303013	−	0.152335i	−0.992974	+	0.118334i	$0.962245\pi$
$854$	−1097.41	−	1097.41i	−1.28502	−	1.28502i
$855$	−20.0703	−	13.4106i	−0.0234741	−	0.0156849i
$856$	−436.280	+	2193.33i	−0.509673	+	2.56230i
$857$	−666.459	+	445.313i	−0.777665	+	0.519619i	−0.879910	−	0.475140i	$-0.842397\pi$
$857$	−666.459	+	445.313i	−0.777665	+	0.519619i	0.102245	+	0.994759i	$0.467397\pi$
$858$	−496.144	−	1197.80i	−0.578257	−	1.39604i
$859$	228.298	−	94.5642i	0.265772	−	0.110086i	−0.245818	−	0.969316i	$-0.579057\pi$
$859$	228.298	−	94.5642i	0.265772	−	0.110086i	0.511590	+	0.859230i	$0.329057\pi$
$860$	−91.6522	−	137.167i	−0.106572	−	0.159497i
$861$	−352.400	−	70.0967i	−0.409291	−	0.0814131i
$862$	−127.115	+	190.240i	−0.147465	+	0.220696i
$863$	−154.996	+	154.996i	−0.179601	+	0.179601i	−0.791182	−	0.611581i	$-0.790534\pi$
$863$	−154.996	+	154.996i	−0.179601	+	0.179601i	0.611581	+	0.791182i	$0.290534\pi$
$864$	−48.2333	+	9.59419i	−0.0558255	+	0.0111044i
$865$	−29.1117	+	70.2819i	−0.0336552	+	0.0812508i
$866$		−	2004.57i		−	2.31475i
$867$	644.598	−	964.709i	0.743481	−	1.11270i
$868$	979.325			1.12825
$869$	−480.111	−	198.869i	−0.552487	−	0.228848i
$870$	−34.3487	−	172.683i	−0.0394813	−	0.198486i
$871$	302.148	+	302.148i	0.346898	+	0.346898i
$872$	−1829.86	−	1222.67i	−2.09847	−	1.40215i
$873$	−49.0340	+	246.511i	−0.0561672	+	0.282372i
$874$	297.400	−	198.716i	0.340275	−	0.227364i
$875$	−41.2690	−	99.6321i	−0.0471645	−	0.113865i
$876$	2361.62	−	978.214i	2.69591	−	1.11668i
$877$	213.098	+	318.923i	0.242985	+	0.363652i	0.932837	−	0.360297i	$-0.117325\pi$
$877$	213.098	+	318.923i	0.242985	+	0.363652i	−0.689853	+	0.723950i	$0.742325\pi$
$878$	2555.09	+	508.239i	2.91013	+	0.578860i
$879$	−435.904	+	652.376i	−0.495909	+	0.742180i
$880$	−23.0585	+	23.0585i	−0.0262028	+	0.0262028i
$881$	−664.331	+	132.144i	−0.754064	+	0.149993i	−0.557132	−	0.830424i	$-0.688098\pi$
$881$	−664.331	+	132.144i	−0.754064	+	0.149993i	−0.196933	+	0.980417i	$0.563098\pi$
$882$	−40.8588	+	98.6420i	−0.0463252	+	0.111839i
$883$			22.6200i			0.0256172i	0.999918	+	0.0128086i	$0.00407721\pi$
$883$			22.6200i			0.0256172i	−0.999918	+	0.0128086i	$0.995923\pi$
$884$	−2219.66	−	919.414i	−2.51093	−	1.04006i
$885$	−114.782			−0.129697
$886$	−914.366	−	378.743i	−1.03202	−	0.427475i
$887$	308.568	+	1551.27i	0.347878	+	1.74890i	0.618097	+	0.786102i	$0.287904\pi$
$887$	308.568	+	1551.27i	0.347878	+	1.74890i	−0.270219	+	0.962799i	$0.587096\pi$
$888$	−683.221	−	683.221i	−0.769393	−	0.769393i
$889$	1048.18	+	700.373i	1.17906	+	0.787821i
$890$	3.94825	−	19.8492i	0.00443623	−	0.0223024i
$891$	−421.945	+	281.935i	−0.473563	+	0.316425i
$892$	148.877	+	359.422i	0.166903	+	0.402939i
$893$	328.451	−	136.049i	0.367806	−	0.152350i
$894$	−1890.37	−	2829.14i	−2.11451	−	3.16458i
$895$	47.7992	+	9.50785i	0.0534069	+	0.0106233i
$896$	−776.168	+	1161.62i	−0.866259	+	1.29645i
$897$	−475.510	+	475.510i	−0.530112	+	0.530112i
$898$	2191.12	−	435.842i	2.44000	−	0.485347i
$899$	−264.374	+	638.255i	−0.294075	+	0.709961i
$900$			1457.69i			1.61966i
$901$	−223.599	−	223.599i	−0.248168	−	0.248168i
$902$	−251.596			−0.278931
$903$	1538.69	+	637.347i	1.70398	+	0.705811i
$904$	−13.3717	−	67.2240i	−0.0147917	−	0.0743628i
$905$	−16.5036	−	16.5036i	−0.0182360	−	0.0182360i
$906$	−68.7603	−	45.9442i	−0.0758944	−	0.0507110i
$907$	−156.639	+	787.479i	−0.172700	+	0.868223i	0.793131	+	0.609051i	$0.208450\pi$
$907$	−156.639	+	787.479i	−0.172700	+	0.868223i	−0.965831	+	0.259172i	$0.916550\pi$
$908$	−2509.34	+	1676.69i	−2.76359	+	1.84657i
$909$	236.946	+	572.039i	0.260667	+	0.629306i
$910$	119.951	−	49.6855i	0.131815	−	0.0545994i
$911$	−282.331	−	422.539i	−0.309914	−	0.463818i	0.643517	−	0.765432i	$-0.277475\pi$
$911$	−282.331	−	422.539i	−0.309914	−	0.463818i	−0.953430	+	0.301614i	$0.902475\pi$
$912$	775.262	+	154.209i	0.850068	+	0.169089i
$913$	−89.4076	+	133.808i	−0.0979273	+	0.146559i
$914$	1899.04	−	1899.04i	2.07772	−	2.07772i
$915$	84.4850	−	16.8051i	0.0923333	−	0.0183662i
$916$	857.946	−	2071.26i	0.936622	−	2.26121i
$917$		−	644.718i		−	0.703073i
$918$	−87.6321	+	440.556i	−0.0954598	+	0.479909i
$919$	1109.72			1.20753			0.603765	−	0.797162i	$-0.293667\pi$
$919$	1109.72			1.20753			0.603765	+	0.797162i	$0.293667\pi$
$920$	43.0269	+	17.8223i	0.0467684	+	0.0193721i
$921$	154.660	+	777.526i	0.167926	+	0.844220i
$922$	−709.362	−	709.362i	−0.769373	−	0.769373i
$923$	−187.190	−	125.076i	−0.202806	−	0.135511i
$924$	231.601	−	1164.34i	0.250651	−	1.26011i
$925$	337.124	−	225.259i	0.364458	−	0.243523i
$926$	516.888	+	1247.88i	0.558194	+	1.34760i
$927$	462.990	−	191.777i	0.499450	−	0.206879i
$928$	140.293	+	209.963i	0.151178	+	0.226253i
$929$	−837.576	−	166.604i	−0.901589	−	0.179337i	−0.277532	−	0.960716i	$-0.589517\pi$
$929$	−837.576	−	166.604i	−0.901589	−	0.179337i	−0.624057	+	0.781379i	$0.714517\pi$
$930$	−44.8828	+	67.1719i	−0.0482611	+	0.0722279i
$931$	−31.8265	+	31.8265i	−0.0341852	+	0.0341852i
$932$	2720.35	−	541.112i	2.91883	−	0.580592i
$933$	−4.92705	+	11.8950i	−0.00528087	+	0.0127491i
$934$		−	374.180i		−	0.400620i
$935$	11.3047	+	27.2919i	0.0120906	+	0.0291892i
$936$	−1807.03			−1.93058
$937$	−1382.49	−	572.646i	−1.47544	−	0.611149i	−0.507351	−	0.861740i	$-0.669375\pi$
$937$	−1382.49	−	572.646i	−1.47544	−	0.611149i	−0.968093	+	0.250591i	$0.919375\pi$
$938$	113.449	+	570.345i	0.120947	+	0.608044i
$939$	−1019.64	−	1019.64i	−1.08588	−	1.08588i
$940$	74.9165	+	50.0576i	0.0796984	+	0.0532528i
$941$	169.054	−	849.891i	0.179653	−	0.903178i	−0.780809	−	0.624769i	$-0.785193\pi$
$941$	169.054	−	849.891i	0.179653	−	0.903178i	0.960463	−	0.278409i	$-0.0898070\pi$
$942$	−2192.43	+	1464.93i	−2.32742	+	1.55513i
$943$	49.9401	+	120.566i	0.0529588	+	0.127854i
$944$	1533.53	−	635.211i	1.62451	−	0.672892i
$945$	−9.07388	−	13.5800i	−0.00960199	−	0.0143704i
$946$	1143.80	+	227.517i	1.20910	+	0.240504i
$947$	786.031	−	1176.38i	0.830022	−	1.24222i	−0.137770	−	0.990464i	$-0.543994\pi$
$947$	786.031	−	1176.38i	0.830022	−	1.24222i	0.967792	−	0.251751i	$-0.0810065\pi$
$948$	−2257.44	+	2257.44i	−2.38127	+	2.38127i
$949$	−1304.17	+	259.416i	−1.37426	+	0.273357i
$950$	−349.505	+	843.779i	−0.367900	+	0.888189i
$951$		−	2388.88i		−	2.51197i
$952$	−933.238	−	1396.69i	−0.980292	−	1.46711i
$953$	595.277			0.624635			0.312318	−	0.949978i	$-0.398895\pi$
$953$	595.277			0.624635			0.312318	+	0.949978i	$0.398895\pi$
$954$	−427.701	−	177.160i	−0.448324	−	0.185702i
$955$	2.08654	+	10.4898i	0.00218486	+	0.0109840i
$956$	−764.098	−	764.098i	−0.799265	−	0.799265i
$957$	696.311	+	465.260i	0.727598	+	0.486165i
$958$	149.378	−	750.974i	0.155927	−	0.783898i
$959$	−406.468	+	271.593i	−0.423846	+	0.283205i
$960$	−25.9771	−	62.7143i	−0.0270595	−	0.0653273i
$961$	−594.988	+	246.452i	−0.619134	+	0.256454i
$962$	543.536	+	813.459i	0.565006	+	0.845592i
$963$	1056.44	+	210.138i	1.09703	+	0.218212i
$964$	720.958	−	1078.99i	0.747882	−	1.11928i
$965$	83.9805	−	83.9805i	0.0870265	−	0.0870265i
$966$	−897.589	+	178.542i	−0.929181	+	0.184826i
$967$	−450.888	+	1088.54i	−0.466275	+	1.12569i	0.499501	+	0.866313i	$0.333517\pi$
$967$	−450.888	+	1088.54i	−0.466275	+	1.12569i	−0.965777	+	0.259375i	$0.916483\pi$
$968$			1361.01i			1.40600i
$969$	397.819	−	595.378i	0.410546	−	0.614426i
$970$	−39.9104			−0.0411448
$971$	814.286	+	337.288i	0.838606	+	0.347362i	0.760304	−	0.649568i	$-0.225050\pi$
$971$	814.286	+	337.288i	0.838606	+	0.347362i	0.0783019	+	0.996930i	$0.475050\pi$
$972$	499.058	+	2508.93i	0.513434	+	2.58121i
$973$	−672.523	−	672.523i	−0.691185	−	0.691185i
$974$	2178.79	+	1455.82i	2.23696	+	1.49469i
$975$	334.988	−	1684.10i	0.343578	−	1.72728i
$976$	−1035.75	+	692.068i	−1.06122	+	0.709086i
$977$	273.488	+	660.260i	0.279927	+	0.675803i	0.999833	−	0.0182682i	$-0.00581526\pi$
$977$	273.488	+	660.260i	0.279927	+	0.675803i	−0.719906	+	0.694071i	$0.755815\pi$
$978$	674.789	−	279.507i	0.689968	−	0.285794i
$979$	53.4798	+	80.0382i	0.0546270	+	0.0817551i
$980$	−11.1880	−	2.22544i	−0.0114164	−	0.00227085i
$981$	−588.913	+	881.370i	−0.600319	+	0.898441i
$982$	−1018.19	+	1018.19i	−1.03685	+	1.03685i
$983$	1512.38	−	300.831i	1.53853	−	0.306034i	0.648246	−	0.761431i	$-0.275503\pi$
$983$	1512.38	−	300.831i	1.53853	−	0.306034i	0.890288	+	0.455397i	$0.150503\pi$
$984$	−303.879	+	733.630i	−0.308821	+	0.745559i
$985$		−	22.9297i		−	0.0232789i
$986$	2262.17	−	449.974i	2.29429	−	0.456363i
$987$	−909.627			−0.921608
$988$	−1369.88	−	567.424i	−1.38652	−	0.574316i
$989$	−118.010	−	593.278i	−0.119323	−	0.599877i
$990$	30.5804	+	30.5804i	0.0308893	+	0.0308893i
$991$	−1104.20	−	737.804i	−1.11423	−	0.744505i	−0.144700	−	0.989476i	$-0.546222\pi$
$991$	−1104.20	−	737.804i	−1.11423	−	0.744505i	−0.969530	+	0.244971i	$0.921222\pi$
$992$	22.6047	−	113.642i	0.0227870	−	0.114558i
$993$	1550.93	−	1036.30i	1.56187	−	1.04361i
$994$	−117.248	−	283.061i	−0.117955	−	0.284769i
$995$	−33.3693	+	13.8220i	−0.0335369	+	0.0138915i
$996$	549.262	+	822.029i	0.551468	+	0.825330i
$997$	17.0606	+	3.39356i	0.0171119	+	0.00340377i	0.203639	−	0.979046i	$-0.434723\pi$
$997$	17.0606	+	3.39356i	0.0171119	+	0.00340377i	−0.186527	+	0.982450i	$0.559723\pi$
$998$	−1109.91	+	1661.10i	−1.11214	+	1.66443i
$999$	87.0240	−	87.0240i	0.0871111	−	0.0871111i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	17.3.e.a.11.1	✓	8
3.2	odd	2		153.3.p.b.28.1		8
4.3	odd	2		272.3.bh.c.113.1		8
5.2	odd	4		425.3.t.a.249.1		8
5.3	odd	4		425.3.t.c.249.1		8
5.4	even	2		425.3.u.b.351.1		8
17.2	even	8		289.3.e.b.214.1		8
17.3	odd	16		289.3.e.c.65.1		8
17.4	even	4		289.3.e.i.40.1		8
17.5	odd	16		289.3.e.m.224.1		8
17.6	odd	16		289.3.e.k.158.1		8
17.7	odd	16		289.3.e.b.131.1		8
17.8	even	8		289.3.e.k.75.1		8
17.9	even	8		289.3.e.l.75.1		8
17.10	odd	16		289.3.e.d.131.1		8
17.11	odd	16		289.3.e.l.158.1		8
17.12	odd	16		289.3.e.i.224.1		8
17.13	even	4		289.3.e.m.40.1		8
17.14	odd	16	inner	17.3.e.a.14.1	yes	8
17.15	even	8		289.3.e.d.214.1		8
17.16	even	2		289.3.e.c.249.1		8
51.14	even	16		153.3.p.b.82.1		8
68.31	even	16		272.3.bh.c.65.1		8
85.14	odd	16		425.3.u.b.201.1		8
85.48	even	16		425.3.t.a.99.1		8
85.82	even	16		425.3.t.c.99.1		8

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
17.3.e.a.11.1	✓	8	1.1	even	1	trivial
17.3.e.a.14.1	yes	8	17.14	odd	16	inner
153.3.p.b.28.1		8	3.2	odd	2
153.3.p.b.82.1		8	51.14	even	16
272.3.bh.c.65.1		8	68.31	even	16
272.3.bh.c.113.1		8	4.3	odd	2
289.3.e.b.131.1		8	17.7	odd	16
289.3.e.b.214.1		8	17.2	even	8
289.3.e.c.65.1		8	17.3	odd	16
289.3.e.c.249.1		8	17.16	even	2
289.3.e.d.131.1		8	17.10	odd	16
289.3.e.d.214.1		8	17.15	even	8
289.3.e.i.40.1		8	17.4	even	4
289.3.e.i.224.1		8	17.12	odd	16
289.3.e.k.75.1		8	17.8	even	8
289.3.e.k.158.1		8	17.6	odd	16
289.3.e.l.75.1		8	17.9	even	8
289.3.e.l.158.1		8	17.11	odd	16
289.3.e.m.40.1		8	17.13	even	4
289.3.e.m.224.1		8	17.5	odd	16
425.3.t.a.99.1		8	85.48	even	16
425.3.t.a.249.1		8	5.2	odd	4
425.3.t.c.99.1		8	85.82	even	16
425.3.t.c.249.1		8	5.3	odd	4
425.3.u.b.201.1		8	85.14	odd	16
425.3.u.b.351.1		8	5.4	even	2

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:	\( N \)	\(=\)	\( 17 \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	17.e (of order \(16\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-3.23044 - 1.33809i) q^{2} +(-0.783227 - 3.93755i) q^{3} +(5.81684 + 5.81684i) q^{4} +(0.268761 + 0.179580i) q^{5} +(-2.73864 + 13.7681i) q^{6} +(5.55967 - 3.71485i) q^{7} +(-5.65512 - 13.6527i) q^{8} +(-6.57593 + 2.72384i) q^{9} +O(q^{10})\)	\(q+(-3.23044 - 1.33809i) q^{2} +(-0.783227 - 3.93755i) q^{3} +(5.81684 + 5.81684i) q^{4} +(0.268761 + 0.179580i) q^{5} +(-2.73864 + 13.7681i) q^{6} +(5.55967 - 3.71485i) q^{7} +(-5.65512 - 13.6527i) q^{8} +(-6.57593 + 2.72384i) q^{9} +(-0.627922 - 0.939752i) q^{10} +(5.27258 + 1.04878i) q^{11} +(18.3482 - 27.4600i) q^{12} +(-12.1480 + 12.1480i) q^{13} +(-22.9310 + 4.56126i) q^{14} +(0.496606 - 1.19891i) q^{15} +18.7662i q^{16} +(15.7060 + 6.50562i) q^{17} +24.8879 q^{18} +(9.69306 + 4.01500i) q^{19} +(0.518750 + 2.60793i) q^{20} +(-18.9819 - 18.9819i) q^{21} +(-15.6294 - 10.4432i) q^{22} +(-1.90212 + 9.56261i) q^{23} +(-49.3288 + 32.9604i) q^{24} +(-9.52710 - 23.0005i) q^{25} +(55.4987 - 22.9883i) q^{26} +(-4.19827 - 6.28316i) q^{27} +(53.9484 + 10.7310i) q^{28} +(-21.5573 + 32.2628i) q^{29} +(-3.20851 + 3.20851i) q^{30} +(17.4621 - 3.47343i) q^{31} +(2.49047 - 6.01252i) q^{32} -21.5825i q^{33} +(-42.0321 - 42.0321i) q^{34} +2.16134 q^{35} +(-54.0953 - 22.4070i) q^{36} +(3.17730 + 15.9734i) q^{37} +(-25.9404 - 25.9404i) q^{38} +(57.3481 + 38.3188i) q^{39} +(0.931875 - 4.68485i) q^{40} +(11.1289 - 7.43612i) q^{41} +(35.9204 + 86.7194i) q^{42} +(-57.3188 + 23.7422i) q^{43} +(24.5691 + 36.7703i) q^{44} +(-2.25650 - 0.448846i) q^{45} +(18.9404 - 28.3462i) q^{46} +(23.9604 - 23.9604i) q^{47} +(73.8929 - 14.6982i) q^{48} +(-1.64171 + 3.96345i) q^{49} +87.0498i q^{50} +(13.3149 - 66.9383i) q^{51} -141.326 q^{52} +(-17.1851 - 7.11830i) q^{53} +(5.15483 + 25.9151i) q^{54} +(1.22872 + 1.22872i) q^{55} +(-82.1582 - 54.8963i) q^{56} +(8.21738 - 41.3116i) q^{57} +(112.810 - 75.3775i) q^{58} +(-33.8486 - 81.7178i) q^{59} +(9.86256 - 4.08520i) q^{60} +(36.8784 + 55.1925i) q^{61} +(-61.0581 - 12.1452i) q^{62} +(-26.4413 + 39.5723i) q^{63} +(36.9883 - 36.9883i) q^{64} +(-5.44646 + 1.08337i) q^{65} +(-28.8794 + 69.7209i) q^{66} -24.8722i q^{67} +(53.5169 + 129.201i) q^{68} +39.1430 q^{69} +(-6.98207 - 2.89207i) q^{70} +(2.55653 + 12.8526i) q^{71} +(74.3754 + 74.3754i) q^{72} +(64.3556 + 43.0010i) q^{73} +(11.1098 - 55.8525i) q^{74} +(-83.1036 + 55.5280i) q^{75} +(33.0284 + 79.7376i) q^{76} +(33.2098 - 13.7560i) q^{77} +(-133.986 - 200.524i) q^{78} +(-94.8094 - 18.8588i) q^{79} +(-3.37004 + 5.04363i) q^{80} +(-66.7491 + 66.7491i) q^{81} +(-45.9016 + 9.13040i) q^{82} +(-11.4558 + 27.6568i) q^{83} -220.829i q^{84} +(3.05287 + 4.56894i) q^{85} +216.934 q^{86} +(143.921 + 59.6139i) q^{87} +(-15.4984 - 77.9157i) q^{88} +(12.6615 + 12.6615i) q^{89} +(6.68891 + 4.46938i) q^{90} +(-22.4109 + 112.667i) q^{91} +(-66.6885 + 44.5598i) q^{92} +(-27.3536 - 66.0374i) q^{93} +(-109.464 + 45.3415i) q^{94} +(1.88410 + 2.81976i) q^{95} +(-25.6252 - 5.09716i) q^{96} +(19.6182 - 29.3607i) q^{97} +(10.6069 - 10.6069i) q^{98} +(-37.5288 + 7.46495i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 8 q - 8 q^{2} - 8 q^{3} + 16 q^{5} - 8 q^{6} + 8 q^{7} - 24 q^{8} - 16 q^{9}+O(q^{10}) \) 8 * q - 8 * q^2 - 8 * q^3 + 16 * q^5 - 8 * q^6 + 8 * q^7 - 24 * q^8 - 16 * q^9	\( 8 q - 8 q^{2} - 8 q^{3} + 16 q^{5} - 8 q^{6} + 8 q^{7} - 24 q^{8} - 16 q^{9} + 16 q^{10} - 8 q^{11} + 48 q^{12} + 16 q^{13} + 8 q^{14} - 16 q^{15} + 56 q^{18} - 80 q^{20} - 64 q^{21} - 104 q^{22} - 56 q^{23} - 80 q^{24} + 64 q^{25} + 176 q^{26} + 40 q^{27} + 152 q^{28} + 48 q^{29} + 16 q^{30} + 24 q^{31} + 88 q^{32} - 136 q^{34} - 160 q^{35} - 128 q^{36} + 32 q^{37} - 120 q^{38} + 48 q^{39} + 64 q^{40} + 48 q^{41} + 16 q^{42} - 232 q^{43} + 120 q^{44} - 88 q^{46} + 192 q^{47} + 136 q^{48} + 16 q^{49} + 136 q^{51} - 384 q^{52} - 32 q^{53} + 8 q^{54} + 224 q^{55} - 120 q^{56} + 24 q^{57} + 240 q^{58} - 48 q^{59} + 64 q^{60} - 160 q^{61} - 168 q^{62} + 56 q^{63} - 64 q^{64} - 96 q^{65} - 8 q^{66} + 272 q^{68} + 240 q^{69} + 224 q^{70} + 40 q^{71} + 40 q^{72} + 48 q^{73} - 160 q^{74} - 296 q^{75} + 80 q^{76} - 48 q^{77} - 400 q^{78} - 136 q^{79} - 240 q^{80} - 424 q^{81} - 64 q^{82} - 264 q^{83} - 272 q^{85} + 832 q^{86} + 208 q^{87} + 264 q^{88} + 160 q^{89} + 448 q^{90} + 320 q^{91} + 24 q^{92} - 64 q^{93} + 32 q^{94} + 272 q^{95} - 56 q^{96} + 48 q^{97} - 120 q^{98} - 224 q^{99}+O(q^{100}) \) 8 * q - 8 * q^2 - 8 * q^3 + 16 * q^5 - 8 * q^6 + 8 * q^7 - 24 * q^8 - 16 * q^9 + 16 * q^10 - 8 * q^11 + 48 * q^12 + 16 * q^13 + 8 * q^14 - 16 * q^15 + 56 * q^18 - 80 * q^20 - 64 * q^21 - 104 * q^22 - 56 * q^23 - 80 * q^24 + 64 * q^25 + 176 * q^26 + 40 * q^27 + 152 * q^28 + 48 * q^29 + 16 * q^30 + 24 * q^31 + 88 * q^32 - 136 * q^34 - 160 * q^35 - 128 * q^36 + 32 * q^37 - 120 * q^38 + 48 * q^39 + 64 * q^40 + 48 * q^41 + 16 * q^42 - 232 * q^43 + 120 * q^44 - 88 * q^46 + 192 * q^47 + 136 * q^48 + 16 * q^49 + 136 * q^51 - 384 * q^52 - 32 * q^53 + 8 * q^54 + 224 * q^55 - 120 * q^56 + 24 * q^57 + 240 * q^58 - 48 * q^59 + 64 * q^60 - 160 * q^61 - 168 * q^62 + 56 * q^63 - 64 * q^64 - 96 * q^65 - 8 * q^66 + 272 * q^68 + 240 * q^69 + 224 * q^70 + 40 * q^71 + 40 * q^72 + 48 * q^73 - 160 * q^74 - 296 * q^75 + 80 * q^76 - 48 * q^77 - 400 * q^78 - 136 * q^79 - 240 * q^80 - 424 * q^81 - 64 * q^82 - 264 * q^83 - 272 * q^85 + 832 * q^86 + 208 * q^87 + 264 * q^88 + 160 * q^89 + 448 * q^90 + 320 * q^91 + 24 * q^92 - 64 * q^93 + 32 * q^94 + 272 * q^95 - 56 * q^96 + 48 * q^97 - 120 * q^98 - 224 * q^99

Introduction

L-functions

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