LMFDB - Embedded newform 75.3.k.a.67.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [75,3,Mod(13,75)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(75, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([0, 19]))

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

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

chi := DirichletCharacter("75.13");

S:= CuspForms(chi, 3);

N := Newforms(S);

Level:	$ N $	$=$	$ 75 = 3 \cdot 5^{2} $
Weight:	$ k $	$=$	$ 3 $
Character orbit:	$[\chi]$	$=$	75.k (of order $20$, 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:	$2.04360198270$
Analytic rank:	$0$
Dimension:	$80$
Relative dimension:	$10$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			67.2
Character	$\chi$	$=$	75.67
Dual form			75.3.k.a.28.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.13229 + 2.22224i) q^{2} +(-0.270952 + 1.71073i) q^{3} +(-1.30514 - 1.79637i) q^{4} +(-4.95217 + 0.689916i) q^{5} +(-3.49485 - 2.53916i) q^{6} +(3.10232 + 3.10232i) q^{7} +(-4.38372 + 0.694313i) q^{8} +(-2.85317 - 0.927051i) q^{9} +O(q^{10})$	\(q+(-1.13229 + 2.22224i) q^{2} +(-0.270952 + 1.71073i) q^{3} +(-1.30514 - 1.79637i) q^{4} +(-4.95217 + 0.689916i) q^{5} +(-3.49485 - 2.53916i) q^{6} +(3.10232 + 3.10232i) q^{7} +(-4.38372 + 0.694313i) q^{8} +(-2.85317 - 0.927051i) q^{9} +(4.07413 - 11.7861i) q^{10} +(-2.50856 - 7.72057i) q^{11} +(3.42674 - 1.74601i) q^{12} +(1.49656 + 2.93716i) q^{13} +(-10.4068 + 3.38139i) q^{14} +(0.161546 - 8.65875i) q^{15} +(6.16532 - 18.9749i) q^{16} +(4.41196 + 27.8560i) q^{17} +(5.29075 - 5.29075i) q^{18} +(-15.2294 + 20.9615i) q^{19} +(7.70264 + 7.99552i) q^{20} +(-6.14781 + 4.46664i) q^{21} +(19.9974 + 3.16728i) q^{22} +(17.4339 + 8.88304i) q^{23} -7.68747i q^{24} +(24.0480 - 6.83317i) q^{25} -8.22163 q^{26} +(2.35900 - 4.62981i) q^{27} +(1.52396 - 9.62191i) q^{28} +(20.3892 + 28.0633i) q^{29} +(19.0589 + 10.1632i) q^{30} +(8.77688 + 6.37677i) q^{31} +(22.6323 + 22.6323i) q^{32} +(13.8875 - 2.19956i) q^{33} +(-66.8985 - 21.7366i) q^{34} +(-17.5036 - 13.2229i) q^{35} +(2.05846 + 6.33529i) q^{36} +(-21.6628 + 11.0377i) q^{37} +(-29.3374 - 57.5779i) q^{38} +(-5.43018 + 1.76437i) q^{39} +(21.2299 - 6.46276i) q^{40} +(13.9284 - 42.8673i) q^{41} +(-2.96487 - 18.7195i) q^{42} +(-8.53203 + 8.53203i) q^{43} +(-10.5950 + 14.5828i) q^{44} +(14.7690 + 2.62247i) q^{45} +(-39.4805 + 28.6843i) q^{46} +(-39.8112 - 6.30548i) q^{47} +(30.7904 + 15.6885i) q^{48} -29.7512i q^{49} +(-12.0444 + 61.1777i) q^{50} -48.8495 q^{51} +(3.32302 - 6.52180i) q^{52} +(14.2819 - 90.1725i) q^{53} +(7.61748 + 10.4846i) q^{54} +(17.7494 + 36.5029i) q^{55} +(-15.7537 - 11.4457i) q^{56} +(-31.7329 - 31.7329i) q^{57} +(-85.4499 + 13.5339i) q^{58} +(101.152 + 32.8662i) q^{59} +(-15.7652 + 11.0107i) q^{60} +(-4.73879 - 14.5845i) q^{61} +(-24.1087 + 12.2840i) q^{62} +(-5.97544 - 11.7275i) q^{63} +(-0.0212563 + 0.00690660i) q^{64} +(-9.43761 - 13.5128i) q^{65} +(-10.8367 + 33.3519i) q^{66} +(4.18666 + 26.4335i) q^{67} +(44.2816 - 44.2816i) q^{68} +(-19.9202 + 27.4178i) q^{69} +(49.2036 - 23.9251i) q^{70} +(-41.3332 + 30.0303i) q^{71} +(13.1512 + 2.08294i) q^{72} +(101.623 + 51.7793i) q^{73} -60.6378i q^{74} +(5.17381 + 42.9911i) q^{75} +57.5312 q^{76} +(16.1693 - 31.7341i) q^{77} +(2.22767 - 14.0650i) q^{78} +(21.7607 + 29.9510i) q^{79} +(-17.4406 + 98.2206i) q^{80} +(7.28115 + 5.29007i) q^{81} +(79.4905 + 79.4905i) q^{82} +(-102.284 + 16.2002i) q^{83} +(16.0475 + 5.21416i) q^{84} +(-41.0671 - 134.904i) q^{85} +(-9.29951 - 28.6210i) q^{86} +(-53.5331 + 27.2765i) q^{87} +(16.3573 + 32.1031i) q^{88} +(108.616 - 35.2914i) q^{89} +(-22.5505 + 29.8509i) q^{90} +(-4.46922 + 13.7548i) q^{91} +(-6.79652 - 42.9115i) q^{92} +(-13.2870 + 13.2870i) q^{93} +(59.0902 - 81.3306i) q^{94} +(60.9570 - 114.312i) q^{95} +(-44.8500 + 32.5855i) q^{96} +(-58.1488 - 9.20986i) q^{97} +(66.1143 + 33.6869i) q^{98} +24.3537i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 80 q + 4 q^{2} + 4 q^{5} - 4 q^{7} - 12 q^{8}+O(q^{10}) $ 80 * q + 4 * q^2 + 4 * q^5 - 4 * q^7 - 12 * q^8	$ 80 q + 4 q^{2} + 4 q^{5} - 4 q^{7} - 12 q^{8} - 4 q^{10} - 24 q^{12} + 32 q^{13} - 24 q^{15} + 80 q^{16} - 100 q^{17} - 48 q^{18} - 100 q^{19} - 244 q^{20} - 100 q^{22} - 96 q^{23} - 16 q^{25} - 40 q^{26} + 196 q^{28} + 200 q^{29} + 264 q^{30} + 636 q^{32} + 216 q^{33} + 100 q^{34} + 260 q^{35} - 120 q^{36} - 184 q^{37} - 564 q^{38} - 948 q^{40} + 160 q^{41} - 12 q^{42} - 472 q^{43} - 700 q^{44} - 36 q^{45} - 288 q^{47} - 48 q^{48} + 16 q^{50} + 620 q^{52} + 304 q^{53} + 604 q^{55} + 72 q^{57} + 1272 q^{58} + 800 q^{59} + 84 q^{60} - 240 q^{61} + 1212 q^{62} - 12 q^{63} + 100 q^{64} + 272 q^{65} - 80 q^{67} + 104 q^{68} - 260 q^{70} + 36 q^{72} - 116 q^{73} - 24 q^{75} - 88 q^{77} - 120 q^{78} + 200 q^{79} - 164 q^{80} + 180 q^{81} - 168 q^{82} - 1264 q^{83} - 1200 q^{84} - 212 q^{85} - 876 q^{87} - 212 q^{88} - 1500 q^{89} - 444 q^{90} - 1504 q^{92} - 648 q^{93} - 200 q^{94} - 784 q^{95} + 60 q^{96} - 260 q^{97} - 92 q^{98}+O(q^{100}) $ 80 * q + 4 * q^2 + 4 * q^5 - 4 * q^7 - 12 * q^8 - 4 * q^10 - 24 * q^12 + 32 * q^13 - 24 * q^15 + 80 * q^16 - 100 * q^17 - 48 * q^18 - 100 * q^19 - 244 * q^20 - 100 * q^22 - 96 * q^23 - 16 * q^25 - 40 * q^26 + 196 * q^28 + 200 * q^29 + 264 * q^30 + 636 * q^32 + 216 * q^33 + 100 * q^34 + 260 * q^35 - 120 * q^36 - 184 * q^37 - 564 * q^38 - 948 * q^40 + 160 * q^41 - 12 * q^42 - 472 * q^43 - 700 * q^44 - 36 * q^45 - 288 * q^47 - 48 * q^48 + 16 * q^50 + 620 * q^52 + 304 * q^53 + 604 * q^55 + 72 * q^57 + 1272 * q^58 + 800 * q^59 + 84 * q^60 - 240 * q^61 + 1212 * q^62 - 12 * q^63 + 100 * q^64 + 272 * q^65 - 80 * q^67 + 104 * q^68 - 260 * q^70 + 36 * q^72 - 116 * q^73 - 24 * q^75 - 88 * q^77 - 120 * q^78 + 200 * q^79 - 164 * q^80 + 180 * q^81 - 168 * q^82 - 1264 * q^83 - 1200 * q^84 - 212 * q^85 - 876 * q^87 - 212 * q^88 - 1500 * q^89 - 444 * q^90 - 1504 * q^92 - 648 * q^93 - 200 * q^94 - 784 * q^95 + 60 * q^96 - 260 * q^97 - 92 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/75\mathbb{Z}\right)^\times$.

$n$	$26$	$52$
$\chi(n)$	$1$	$e\left(\frac{13}{20}\right)$

Coefficient data

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

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

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

$2$	−1.13229	+	2.22224i	−0.566145	+	1.11112i	0.413523	+	0.910494i	$0.364298\pi$
$2$	−1.13229	+	2.22224i	−0.566145	+	1.11112i	−0.979668	+	0.200628i	$0.935702\pi$
$3$	−0.270952	+	1.71073i	−0.0903175	+	0.570242i
$3$	−0.270952	+	1.71073i	−0.0903175	+	0.570242i
$4$	−1.30514	−	1.79637i	−0.326286	−	0.449094i
$5$	−4.95217	+	0.689916i	−0.990435	+	0.137983i
$5$	−4.95217	+	0.689916i	−0.990435	+	0.137983i
$6$	−3.49485	−	2.53916i	−0.582475	−	0.423193i
$7$	3.10232	+	3.10232i	0.443189	+	0.443189i	0.893082	−	0.449893i	$-0.148538\pi$
$7$	3.10232	+	3.10232i	0.443189	+	0.443189i	−0.449893	+	0.893082i	$0.648538\pi$
$8$	−4.38372	+	0.694313i	−0.547965	+	0.0867892i
$9$	−2.85317	−	0.927051i	−0.317019	−	0.103006i
$10$	4.07413	−	11.7861i	0.407413	−	1.17861i
$11$	−2.50856	−	7.72057i	−0.228051	−	0.701870i	−0.997968	−	0.0637248i	$-0.979702\pi$
$11$	−2.50856	−	7.72057i	−0.228051	−	0.701870i	0.769916	−	0.638145i	$-0.220298\pi$
$12$	3.42674	−	1.74601i	0.285561	−	0.145501i
$13$	1.49656	+	2.93716i	0.115120	+	0.225936i	0.941376	−	0.337359i	$-0.109534\pi$
$13$	1.49656	+	2.93716i	0.115120	+	0.225936i	−0.826256	+	0.563295i	$0.809534\pi$
$14$	−10.4068	+	3.38139i	−0.743346	+	0.241528i
$15$	0.161546	−	8.65875i	0.0107697	−	0.577250i
$16$	6.16532	−	18.9749i	0.385333	−	1.18593i
$17$	4.41196	+	27.8560i	0.259527	+	1.63859i	0.681383	+	0.731927i	$0.261379\pi$
$17$	4.41196	+	27.8560i	0.259527	+	1.63859i	−0.421856	+	0.906663i	$0.638621\pi$
$18$	5.29075	−	5.29075i	0.293930	−	0.293930i
$19$	−15.2294	+	20.9615i	−0.801547	+	1.10324i	0.191026	+	0.981585i	$0.438819\pi$
$19$	−15.2294	+	20.9615i	−0.801547	+	1.10324i	−0.992573	+	0.121650i	$0.961181\pi$
$20$	7.70264	+	7.99552i	0.385132	+	0.399776i
$21$	−6.14781	+	4.46664i	−0.292753	+	0.212697i
$22$	19.9974	+	3.16728i	0.908972	+	0.143967i
$23$	17.4339	+	8.88304i	0.757997	+	0.386219i	0.789871	−	0.613273i	$-0.210147\pi$
$23$	17.4339	+	8.88304i	0.757997	+	0.386219i	−0.0318737	+	0.999492i	$0.510147\pi$
$24$		−	7.68747i		−	0.320311i
$25$	24.0480	−	6.83317i	0.961921	−	0.273327i
$26$	−8.22163			−0.316216
$27$	2.35900	−	4.62981i	0.0873705	−	0.171474i
$28$	1.52396	−	9.62191i	0.0544272	−	0.343640i
$29$	20.3892	+	28.0633i	0.703075	+	0.967699i	0.999918	+	0.0127733i	$0.00406596\pi$
$29$	20.3892	+	28.0633i	0.703075	+	0.967699i	−0.296844	+	0.954926i	$0.595934\pi$
$30$	19.0589	+	10.1632i	0.635297	+	0.338773i
$31$	8.77688	+	6.37677i	0.283125	+	0.205702i	0.720279	−	0.693684i	$-0.244014\pi$
$31$	8.77688	+	6.37677i	0.283125	+	0.205702i	−0.437154	+	0.899387i	$0.644014\pi$
$32$	22.6323	+	22.6323i	0.707261	+	0.707261i
$33$	13.8875	−	2.19956i	0.420833	−	0.0666534i
$34$	−66.8985	−	21.7366i	−1.96760	−	0.639313i
$35$	−17.5036	−	13.2229i	−0.500102	−	0.377797i
$36$	2.05846	+	6.33529i	0.0571795	+	0.175980i
$37$	−21.6628	+	11.0377i	−0.585480	+	0.298317i	−0.721528	−	0.692385i	$-0.756560\pi$
$37$	−21.6628	+	11.0377i	−0.585480	+	0.298317i	0.136048	+	0.990702i	$0.456560\pi$
$38$	−29.3374	−	57.5779i	−0.772037	−	1.51521i
$39$	−5.43018	+	1.76437i	−0.139235	+	0.0452403i
$40$	21.2299	−	6.46276i	0.530748	−	0.161569i
$41$	13.9284	−	42.8673i	0.339718	−	1.04554i	−0.624634	−	0.780918i	$-0.714752\pi$
$41$	13.9284	−	42.8673i	0.339718	−	1.04554i	0.964351	−	0.264626i	$-0.0852484\pi$
$42$	−2.96487	−	18.7195i	−0.0705921	−	0.445701i
$43$	−8.53203	+	8.53203i	−0.198419	+	0.198419i	−0.799322	−	0.600903i	$-0.794808\pi$
$43$	−8.53203	+	8.53203i	−0.198419	+	0.198419i	0.600903	+	0.799322i	$0.294808\pi$
$44$	−10.5950	+	14.5828i	−0.240795	+	0.331426i
$45$	14.7690	+	2.62247i	0.328199	+	0.0582771i
$46$	−39.4805	+	28.6843i	−0.858272	+	0.623571i
$47$	−39.8112	−	6.30548i	−0.847048	−	0.134159i	−0.282201	−	0.959355i	$-0.591065\pi$
$47$	−39.8112	−	6.30548i	−0.847048	−	0.134159i	−0.564846	+	0.825196i	$0.691065\pi$
$48$	30.7904	+	15.6885i	0.641466	+	0.326843i
$49$		−	29.7512i		−	0.607167i
$50$	−12.0444	+	61.1777i	−0.240887	+	1.22355i
$51$	−48.8495			−0.957833
$52$	3.32302	−	6.52180i	0.0639042	−	0.125419i
$53$	14.2819	−	90.1725i	0.269470	−	1.70137i	−0.367127	−	0.930171i	$-0.619659\pi$
$53$	14.2819	−	90.1725i	0.269470	−	1.70137i	0.636597	−	0.771197i	$-0.280341\pi$
$54$	7.61748	+	10.4846i	0.141064	+	0.194158i
$55$	17.7494	+	36.5029i	0.322716	+	0.663689i
$56$	−15.7537	−	11.4457i	−0.281316	−	0.204388i
$57$	−31.7329	−	31.7329i	−0.556718	−	0.556718i
$58$	−85.4499	+	13.5339i	−1.47327	+	0.233344i
$59$	101.152	+	32.8662i	1.71444	+	0.557055i	0.991062	−	0.133399i	$-0.0425890\pi$
$59$	101.152	+	32.8662i	1.71444	+	0.557055i	0.723377	+	0.690454i	$0.242589\pi$
$60$	−15.7652	+	11.0107i	−0.262753	+	0.183512i
$61$	−4.73879	−	14.5845i	−0.0776851	−	0.239090i	0.904671	−	0.426111i	$-0.140117\pi$
$61$	−4.73879	−	14.5845i	−0.0776851	−	0.239090i	−0.982356	+	0.187021i	$0.940117\pi$
$62$	−24.1087	+	12.2840i	−0.388850	+	0.198129i
$63$	−5.97544	−	11.7275i	−0.0948483	−	0.186150i
$64$	−0.0212563	+	0.00690660i	−0.000332130	+	0.000107916i
$65$	−9.43761	−	13.5128i	−0.145194	−	0.207890i
$66$	−10.8367	+	33.3519i	−0.164192	+	0.505332i
$67$	4.18666	+	26.4335i	0.0624874	+	0.394530i	0.999032	+	0.0439823i	$0.0140045\pi$
$67$	4.18666	+	26.4335i	0.0624874	+	0.394530i	−0.936545	+	0.350548i	$0.885995\pi$
$68$	44.2816	−	44.2816i	0.651200	−	0.651200i
$69$	−19.9202	+	27.4178i	−0.288699	+	0.397360i
$70$	49.2036	−	23.9251i	0.702909	−	0.341787i
$71$	−41.3332	+	30.0303i	−0.582158	+	0.422963i	−0.839501	−	0.543357i	$-0.817153\pi$
$71$	−41.3332	+	30.0303i	−0.582158	+	0.422963i	0.257343	+	0.966320i	$0.417153\pi$
$72$	13.1512	+	2.08294i	0.182655	+	0.0289297i
$73$	101.623	+	51.7793i	1.39209	+	0.709306i	0.979469	−	0.201596i	$-0.0646130\pi$
$73$	101.623	+	51.7793i	1.39209	+	0.709306i	0.412622	+	0.910902i	$0.364613\pi$
$74$		−	60.6378i		−	0.819430i
$75$	5.17381	+	42.9911i	0.0689841	+	0.573214i
$76$	57.5312			0.756989
$77$	16.1693	−	31.7341i	0.209991	−	0.412131i
$78$	2.22767	−	14.0650i	0.0285599	−	0.180320i
$79$	21.7607	+	29.9510i	0.275452	+	0.379127i	0.924221	−	0.381859i	$-0.124716\pi$
$79$	21.7607	+	29.9510i	0.275452	+	0.379127i	−0.648769	+	0.760985i	$0.724716\pi$
$80$	−17.4406	+	98.2206i	−0.218008	+	1.22776i
$81$	7.28115	+	5.29007i	0.0898908	+	0.0653095i
$82$	79.4905	+	79.4905i	0.969396	+	0.969396i
$83$	−102.284	+	16.2002i	−1.23234	+	0.195183i	−0.738429	−	0.674332i	$-0.764432\pi$
$83$	−102.284	+	16.2002i	−1.23234	+	0.195183i	−0.493907	+	0.869514i	$0.664432\pi$
$84$	16.0475	+	5.21416i	0.191042	+	0.0620733i
$85$	−41.0671	−	134.904i	−0.483142	−	1.58711i
$86$	−9.29951	−	28.6210i	−0.108134	−	0.332802i
$87$	−53.5331	+	27.2765i	−0.615323	+	0.313523i
$88$	16.3573	+	32.1031i	0.185879	+	0.364808i
$89$	108.616	−	35.2914i	1.22040	−	0.396533i	0.373175	−	0.927761i	$-0.378269\pi$
$89$	108.616	−	35.2914i	1.22040	−	0.396533i	0.847229	+	0.531228i	$0.178269\pi$
$90$	−22.5505	+	29.8509i	−0.250561	+	0.331676i
$91$	−4.46922	+	13.7548i	−0.0491123	+	0.151152i
$92$	−6.79652	−	42.9115i	−0.0738752	−	0.466429i
$93$	−13.2870	+	13.2870i	−0.142871	+	0.142871i
$94$	59.0902	−	81.3306i	0.628619	−	0.865219i
$95$	60.9570	−	114.312i	0.641652	−	1.20328i
$96$	−44.8500	+	32.5855i	−0.467188	+	0.339432i
$97$	−58.1488	−	9.20986i	−0.599472	−	0.0949470i	−0.150679	−	0.988583i	$-0.548146\pi$
$97$	−58.1488	−	9.20986i	−0.599472	−	0.0949470i	−0.448793	+	0.893636i	$0.648146\pi$
$98$	66.1143	+	33.6869i	0.674636	+	0.343744i
$99$			24.3537i			0.245997i
$100$	−43.6610	−	34.2810i	−0.436610	−	0.342810i
$101$	76.1042			0.753507			0.376754	−	0.926313i	$-0.377040\pi$
$101$	76.1042			0.753507			0.376754	+	0.926313i	$0.377040\pi$
$102$	55.3117	−	108.555i	0.542272	−	1.06427i
$103$	−0.501856	+	3.16859i	−0.00487239	+	0.0307631i	−0.990005	−	0.141034i	$-0.954957\pi$
$103$	−0.501856	+	3.16859i	−0.00487239	+	0.0307631i	0.985132	+	0.171797i	$0.0549573\pi$
$104$	−8.59981	−	11.8366i	−0.0826905	−	0.113814i
$105$	27.3634	−	26.3611i	0.260604	−	0.251058i
$106$	184.214	+	133.839i	1.73787	+	1.26263i
$107$	−93.9432	−	93.9432i	−0.877974	−	0.877974i	0.115351	−	0.993325i	$-0.463201\pi$
$107$	−93.9432	−	93.9432i	−0.877974	−	0.877974i	−0.993325	+	0.115351i	$0.963201\pi$
$108$	−11.3957	+	1.80490i	−0.105516	+	0.0167121i
$109$	−203.328	−	66.0652i	−1.86539	−	0.606103i	−0.993123	−	0.117076i	$-0.962648\pi$
$109$	−203.328	−	66.0652i	−1.86539	−	0.606103i	−0.872269	−	0.489026i	$-0.837352\pi$
$110$	−101.216	−	1.88838i	−0.920143	−	0.0171671i
$111$	−13.0130	−	40.0498i	−0.117234	−	0.360809i
$112$	77.9931	−	39.7395i	0.696367	−	0.354817i
$113$	64.1541	+	125.909i	0.567735	+	1.11424i	0.979215	+	0.202824i	$0.0650119\pi$
$113$	64.1541	+	125.909i	0.567735	+	1.11424i	−0.411480	+	0.911419i	$0.634988\pi$
$114$	106.449	−	34.5874i	0.933763	−	0.303398i
$115$	−92.4644	−	31.9624i	−0.804039	−	0.277934i
$116$	23.8014	−	73.2532i	0.205184	−	0.631493i
$117$	−1.54704	−	9.76761i	−0.0132225	−	0.0834838i
$118$	−187.570	+	187.570i	−1.58958	+	1.58958i
$119$	−72.7311	+	100.106i	−0.611185	+	0.841224i
$120$	5.30371	+	38.0697i	0.0441976	+	0.317247i
$121$	44.5768	−	32.3869i	0.368403	−	0.267661i
$122$	37.7760	+	5.98312i	0.309639	+	0.0490420i
$123$	69.5603	+	35.4427i	0.565531	+	0.288152i
$124$		−	24.0892i		−	0.194267i
$125$	−114.376	+	50.4301i	−0.915006	+	0.403441i
$126$	32.8272			0.260533
$127$	−84.6861	+	166.206i	−0.666820	+	1.30871i	0.271332	+	0.962486i	$0.412536\pi$
$127$	−84.6861	+	166.206i	−0.666820	+	1.30871i	−0.938152	+	0.346222i	$0.887464\pi$
$128$	−20.0193	+	126.397i	−0.156400	+	0.987473i
$129$	−12.2842	−	16.9077i	−0.0952263	−	0.131068i
$130$	40.7149	−	5.67223i	0.313192	−	0.0436325i
$131$	132.639	+	96.3682i	1.01251	+	0.735635i	0.964735	−	0.263223i	$-0.0847855\pi$
$131$	132.639	+	96.3682i	1.01251	+	0.735635i	0.0477795	+	0.998858i	$0.484786\pi$
$132$	−22.0764	−	22.0764i	−0.167245	−	0.167245i
$133$	−112.276	+	17.7827i	−0.844179	+	0.133705i
$134$	−63.4822	−	20.6266i	−0.473748	−	0.153930i
$135$	−8.48802	+	24.5551i	−0.0628742	+	0.181890i
$136$	−38.6816	−	119.050i	−0.284424	−	0.875366i
$137$	113.672	−	57.9190i	0.829726	−	0.422766i	0.0130861	−	0.999914i	$-0.495834\pi$
$137$	113.672	−	57.9190i	0.829726	−	0.422766i	0.816640	+	0.577148i	$0.195834\pi$
$138$	−38.3736	−	75.3124i	−0.278070	−	0.545742i
$139$	−17.6523	+	5.73557i	−0.126995	+	0.0412631i	−0.371825	−	0.928303i	$-0.621268\pi$
$139$	−17.6523	+	5.73557i	−0.126995	+	0.0412631i	0.244830	+	0.969566i	$0.421268\pi$
$140$	−0.908607	+	48.7008i	−0.00649005	+	0.347863i
$141$	21.5739	−	66.3977i	0.153006	−	0.470905i
$142$	−19.9335	−	125.855i	−0.140377	−	0.886306i
$143$	18.9223	−	18.9223i	0.132324	−	0.132324i
$144$	−35.1814	+	48.4231i	−0.244315	+	0.336271i
$145$	−120.332	−	124.907i	−0.829876	−	0.861430i
$146$	−230.132	+	167.201i	−1.57625	+	1.14521i
$147$	50.8961	+	8.06116i	0.346232	+	0.0548378i
$148$	48.1009	+	24.5086i	0.325006	+	0.165599i
$149$			10.5645i			0.0709024i	0.999371	+	0.0354512i	$0.0112868\pi$
$149$			10.5645i			0.0709024i	−0.999371	+	0.0354512i	$0.988713\pi$
$150$	−101.395	−	37.1809i	−0.675965	−	0.247872i
$151$	119.808			0.793433			0.396716	−	0.917941i	$-0.370150\pi$
$151$	119.808			0.793433			0.396716	+	0.917941i	$0.370150\pi$
$152$	52.2076	−	102.463i	0.343471	−	0.674100i
$153$	13.2359	−	83.5681i	0.0865090	−	0.546197i
$154$	52.2125	+	71.8643i	0.339042	+	0.466651i
$155$	−47.8640	−	25.5236i	−0.308800	−	0.164668i
$156$	10.2566	+	7.45188i	0.0657476	+	0.0477684i
$157$	61.8710	+	61.8710i	0.394083	+	0.394083i	0.876140	−	0.482057i	$-0.160110\pi$
$157$	61.8710	+	61.8710i	0.394083	+	0.394083i	−0.482057	+	0.876140i	$0.660110\pi$
$158$	−91.1978	+	14.4443i	−0.577202	+	0.0914197i
$159$	150.391	+	48.8649i	0.945854	+	0.307326i
$160$	−127.694	−	96.4649i	−0.798086	−	0.602905i
$161$	26.5277	+	81.6438i	0.164768	+	0.507104i
$162$	−20.0002	+	10.1906i	−0.123458	+	0.0629050i
$163$	−133.685	−	262.372i	−0.820153	−	1.60964i	−0.792380	−	0.610028i	$-0.791158\pi$
$163$	−133.685	−	262.372i	−0.820153	−	1.60964i	−0.0277732	−	0.999614i	$-0.508842\pi$
$164$	−95.1843	+	30.9272i	−0.580392	+	0.188581i
$165$	−67.2557	+	20.4738i	−0.407610	+	0.124084i
$166$	79.8142	−	245.643i	0.480809	−	1.47978i
$167$	4.43427	+	27.9969i	0.0265525	+	0.167646i	0.997401	−	0.0720471i	$-0.0229532\pi$
$167$	4.43427	+	27.9969i	0.0265525	+	0.167646i	−0.970849	+	0.239693i	$0.922953\pi$
$168$	23.8490	−	23.8490i	0.141958	−	0.141958i
$169$	92.9485	−	127.933i	0.549991	−	0.756998i
$170$	346.289	+	61.4892i	2.03700	+	0.361701i
$171$	62.8844	−	45.6882i	0.367745	−	0.267182i
$172$	26.4622	+	4.19120i	0.153850	+	0.0243675i
$173$	41.8042	+	21.3003i	0.241643	+	0.123123i	0.570619	−	0.821215i	$-0.306703\pi$
$173$	41.8042	+	21.3003i	0.241643	+	0.123123i	−0.328976	+	0.944338i	$0.606703\pi$
$174$		−	149.848i		−	0.861198i
$175$	95.8035	+	53.4061i	0.547448	+	0.305178i
$176$	−161.963			−0.920246
$177$	−83.6325	+	164.138i	−0.472500	+	0.927334i
$178$	−44.5585	+	281.331i	−0.250328	+	1.58051i
$179$	−65.0062	−	89.4733i	−0.363163	−	0.499851i	0.587864	−	0.808960i	$-0.299969\pi$
$179$	−65.0062	−	89.4733i	−0.363163	−	0.499851i	−0.951027	+	0.309109i	$0.899969\pi$
$180$	−14.5647	−	29.9533i	−0.0809149	−	0.166407i
$181$	152.214	+	110.590i	0.840962	+	0.610995i	0.922639	−	0.385664i	$-0.126028\pi$
$181$	152.214	+	110.590i	0.840962	+	0.610995i	−0.0816769	+	0.996659i	$0.526028\pi$
$182$	−25.5061	−	25.5061i	−0.140144	−	0.140144i
$183$	26.2341	−	4.15507i	0.143356	−	0.0227053i
$184$	−82.5931	−	26.8361i	−0.448876	−	0.145849i
$185$	99.6627	−	69.6062i	0.538717	−	0.376250i
$186$	−14.4822	−	44.5718i	−0.0778615	−	0.239633i
$187$	203.997	−	103.941i	1.09089	−	0.555837i
$188$	40.6323	+	79.7455i	0.216129	+	0.424178i
$189$	21.6815	−	7.04476i	0.114717	−	0.0372739i
$190$	185.008	+	264.895i	0.973725	+	1.39419i
$191$	−47.3319	+	145.673i	−0.247811	+	0.762683i	0.747351	+	0.664430i	$0.231326\pi$
$191$	−47.3319	+	145.673i	−0.247811	+	0.762683i	−0.995161	+	0.0982534i	$0.968674\pi$
$192$	−0.00605585	−	0.0382351i	−3.15409e−5	−	0.000199141i
$193$	243.828	−	243.828i	1.26336	−	1.26336i	0.313901	−	0.949456i	$-0.398364\pi$
$193$	243.828	−	243.828i	1.26336	−	1.26336i	0.949456	−	0.313901i	$-0.101636\pi$
$194$	86.3078	−	118.792i	0.444885	−	0.612332i
$195$	25.6739	−	12.4838i	0.131661	−	0.0640197i
$196$	−53.4443	+	38.8295i	−0.272675	+	0.198110i
$197$	−212.135	−	33.5989i	−1.07683	−	0.170553i	−0.407266	−	0.913309i	$-0.633518\pi$
$197$	−212.135	−	33.5989i	−1.07683	−	0.170553i	−0.669562	+	0.742757i	$0.733518\pi$
$198$	−54.1197	−	27.5754i	−0.273332	−	0.139270i
$199$			261.788i			1.31552i	0.753228	+	0.657760i	$0.228496\pi$
$199$			261.788i			1.31552i	−0.753228	+	0.657760i	$0.771504\pi$
$200$	−100.676	+	46.6516i	−0.503378	+	0.233258i
$201$	−46.3549			−0.230621
$202$	−86.1720	+	169.122i	−0.426594	+	0.837238i
$203$	−23.8076	+	150.315i	−0.117279	+	0.740469i
$204$	63.7555	+	87.7519i	0.312527	+	0.430157i
$205$	−39.4011	+	221.896i	−0.192201	+	1.08242i
$206$	−6.47314	−	4.70301i	−0.0314230	−	0.0228302i
$207$	−41.5070	−	41.5070i	−0.200517	−	0.200517i
$208$	64.9592	−	10.2885i	0.312304	−	0.0494641i
$209$	200.038	+	64.9964i	0.957121	+	0.310988i
$210$	27.5974	+	90.6565i	0.131416	+	0.431697i
$211$	−5.06063	−	15.5750i	−0.0239840	−	0.0738152i	0.938348	−	0.345692i	$-0.112356\pi$
$211$	−5.06063	−	15.5750i	−0.0239840	−	0.0738152i	−0.962332	+	0.271877i	$0.912356\pi$
$212$	−180.623	+	92.0323i	−0.851997	+	0.434114i
$213$	−40.1744	−	78.8466i	−0.188612	−	0.370172i
$214$	315.135	−	102.394i	1.47260	−	0.478475i
$215$	36.3657	−	48.1384i	0.169143	−	0.223900i
$216$	−7.12668	+	21.9337i	−0.0329939	+	0.101545i
$217$	7.44589	+	47.0115i	0.0343129	+	0.216643i
$218$	377.039	−	377.039i	1.72954	−	1.72954i
$219$	−116.115	+	159.819i	−0.530206	+	0.729766i
$220$	42.4074	−	79.5260i	0.192761	−	0.361482i
$221$	−75.2149	+	54.6468i	−0.340339	+	0.247271i
$222$	103.735	+	16.4300i	0.467274	+	0.0740089i
$223$	−38.6309	−	19.6834i	−0.173233	−	0.0882664i	0.365224	−	0.930920i	$-0.380992\pi$
$223$	−38.6309	−	19.6834i	−0.173233	−	0.0882664i	−0.538457	+	0.842653i	$0.680992\pi$
$224$			140.426i			0.626900i
$225$	−74.9478	−	2.79757i	−0.333101	−	0.0124336i
$226$	−352.442			−1.55948
$227$	74.0305	−	145.293i	0.326126	−	0.640058i	−0.668486	−	0.743724i	$-0.733058\pi$
$227$	74.0305	−	145.293i	0.326126	−	0.640058i	0.994612	+	0.103667i	$0.0330575\pi$
$228$	−15.5882	+	98.4201i	−0.0683694	+	0.431667i
$229$	−5.52850	−	7.60933i	−0.0241419	−	0.0332285i	0.796775	−	0.604276i	$-0.206537\pi$
$229$	−5.52850	−	7.60933i	−0.0241419	−	0.0332285i	−0.820917	+	0.571047i	$0.806537\pi$
$230$	175.725	−	169.288i	0.764020	−	0.736034i
$231$	49.9072	+	36.2597i	0.216048	+	0.156968i
$232$	−108.865	−	108.865i	−0.469246	−	0.469246i
$233$	26.5415	−	4.20377i	0.113912	−	0.0180419i	−0.0992181	−	0.995066i	$-0.531634\pi$
$233$	26.5415	−	4.20377i	0.113912	−	0.0180419i	0.213130	+	0.977024i	$0.431634\pi$
$234$	23.4577	+	7.62187i	0.100247	+	0.0325721i
$235$	201.502	+	3.75942i	0.857457	+	0.0159975i
$236$	−72.9776	−	224.602i	−0.309227	−	0.951703i
$237$	−57.1341	+	29.1113i	−0.241072	+	0.122832i
$238$	−140.107	−	274.975i	−0.588683	−	1.15536i
$239$	−325.106	+	105.633i	−1.36028	+	0.441981i	−0.896135	−	0.443781i	$-0.853637\pi$
$239$	−325.106	+	105.633i	−1.36028	+	0.441981i	−0.464141	+	0.885761i	$0.653637\pi$
$240$	−163.303	−	56.4493i	−0.680429	−	0.235205i
$241$	−27.6920	+	85.2271i	−0.114904	+	0.353639i	−0.991927	−	0.126810i	$-0.959526\pi$
$241$	−27.6920	+	85.2271i	−0.114904	+	0.353639i	0.877023	+	0.480449i	$0.159526\pi$
$242$	21.4978	+	135.732i	0.0888339	+	0.560875i
$243$	−11.0227	+	11.0227i	−0.0453609	+	0.0453609i
$244$	−20.0144	+	27.5475i	−0.0820263	+	0.112900i
$245$	20.5258	+	147.333i	0.0837788	+	0.601359i
$246$	−157.525	+	114.448i	−0.640344	+	0.465237i
$247$	−84.3589	−	13.3611i	−0.341534	−	0.0540937i
$248$	−42.9029	−	21.8601i	−0.172995	−	0.0881456i
$249$		−	179.369i		−	0.720358i
$250$	17.4383	−	311.272i	0.0697534	−	1.24509i
$251$	−259.732			−1.03479			−0.517394	−	0.855747i	$-0.673098\pi$
$251$	−259.732			−1.03479			−0.517394	+	0.855747i	$0.673098\pi$
$252$	−13.2681	+	26.0401i	−0.0526513	+	0.103334i
$253$	24.8479	−	156.884i	0.0982131	−	0.620093i
$254$	−273.461	−	376.386i	−1.07662	−	1.48184i
$255$	241.911	−	33.7020i	0.948671	−	0.132165i
$256$	−258.289	−	187.658i	−1.00894	−	0.733038i
$257$	−124.723	−	124.723i	−0.485305	−	0.485305i	0.421516	−	0.906821i	$-0.361498\pi$
$257$	−124.723	−	124.723i	−0.485305	−	0.485305i	−0.906821	+	0.421516i	$0.861498\pi$
$258$	51.4823	−	8.15400i	0.199544	−	0.0316047i
$259$	−101.448	−	32.9623i	−0.391689	−	0.127268i
$260$	−11.9567	+	34.5897i	−0.0459872	+	0.133037i
$261$	−32.1577	−	98.9711i	−0.123209	−	0.379200i
$262$	−364.340	+	185.640i	−1.39061	+	0.708551i
$263$	−40.7100	−	79.8979i	−0.154791	−	0.303794i	0.800568	−	0.599242i	$-0.204531\pi$
$263$	−40.7100	−	79.8979i	−0.154791	−	0.303794i	−0.955359	+	0.295448i	$0.904531\pi$
$264$	−59.3517	+	19.2845i	−0.224817	+	0.0730474i
$265$	−8.51509	+	456.403i	−0.0321324	+	1.72228i
$266$	87.6111	−	269.639i	0.329365	−	1.01368i
$267$	30.9443	+	195.374i	0.115896	+	0.731739i
$268$	42.0203	−	42.0203i	0.156792	−	0.156792i
$269$	29.3157	−	40.3496i	0.108980	−	0.149999i	−0.751043	−	0.660253i	$-0.770449\pi$
$269$	29.3157	−	40.3496i	0.108980	−	0.149999i	0.860023	+	0.510255i	$0.170449\pi$
$270$	−44.9565	−	46.6659i	−0.166506	−	0.172837i
$271$	−176.269	+	128.067i	−0.650439	+	0.472571i	−0.863421	−	0.504485i	$-0.831682\pi$
$271$	−176.269	+	128.067i	−0.650439	+	0.472571i	0.212982	+	0.977056i	$0.431682\pi$
$272$	555.767	+	88.0248i	2.04326	+	0.323621i
$273$	−22.3198	−	11.3725i	−0.0817576	−	0.0416576i
$274$			318.189i			1.16127i
$275$	−113.082	−	168.523i	−0.411207	−	0.612811i
$276$	75.2514			0.272650
$277$	−16.1472	+	31.6907i	−0.0582933	+	0.114407i	−0.918315	−	0.395850i	$-0.870450\pi$
$277$	−16.1472	+	31.6907i	−0.0582933	+	0.114407i	0.860022	+	0.510257i	$0.170450\pi$
$278$	7.24165	−	45.7220i	0.0260491	−	0.164467i
$279$	−19.1303	−	26.3306i	−0.0685675	−	0.0943750i
$280$	85.9117	+	45.8125i	0.306827	+	0.163616i
$281$	300.785	+	218.533i	1.07041	+	0.777697i	0.975986	−	0.217835i	$-0.0698995\pi$
$281$	300.785	+	218.533i	1.07041	+	0.777697i	0.0944226	+	0.995532i	$0.469900\pi$
$282$	123.124	+	123.124i	0.436609	+	0.436609i
$283$	246.901	−	39.1052i	0.872441	−	0.138181i	0.295870	−	0.955228i	$-0.404391\pi$
$283$	246.901	−	39.1052i	0.872441	−	0.138181i	0.576571	+	0.817047i	$0.304391\pi$
$284$	107.891	+	35.0561i	0.379900	+	0.123437i
$285$	179.040	+	135.254i	0.628210	+	0.474575i
$286$	20.6245	+	63.4756i	0.0721136	+	0.221943i
$287$	176.199	−	89.7777i	0.613933	−	0.312814i
$288$	−43.5926	−	85.5552i	−0.151363	−	0.297067i
$289$	−481.637	+	156.493i	−1.66657	+	0.541500i
$290$	413.825	−	125.976i	1.42698	−	0.434399i
$291$	31.5111	−	96.9812i	0.108286	−	0.333269i
$292$	−39.6170	−	250.132i	−0.135675	−	0.856615i
$293$	−28.4897	+	28.4897i	−0.0972346	+	0.0972346i	−0.754051	−	0.656816i	$-0.771903\pi$
$293$	−28.4897	+	28.4897i	−0.0972346	+	0.0972346i	0.656816	+	0.754051i	$0.271903\pi$
$294$	−75.5430	+	103.976i	−0.256949	+	0.353660i
$295$	−523.597	−	92.9730i	−1.77490	−	0.315163i
$296$	87.2999	−	63.4271i	0.294932	−	0.214281i
$297$	−41.6624	−	6.59868i	−0.140278	−	0.0222178i
$298$	−23.4768	−	11.9620i	−0.0787812	−	0.0401410i
$299$			64.5003i			0.215720i
$300$	70.4755	−	65.4036i	0.234918	−	0.218012i
$301$	−52.9382			−0.175874
$302$	−135.658	+	266.243i	−0.449198	+	0.881600i
$303$	−20.6206	+	130.194i	−0.0680549	+	0.429682i
$304$	303.848	+	418.211i	0.999500	+	1.37569i
$305$	33.5294	+	68.9556i	0.109932	+	0.226084i
$306$	170.722	+	124.037i	0.557914	+	0.405348i
$307$	395.674	+	395.674i	1.28884	+	1.28884i	0.935491	+	0.353351i	$0.114958\pi$
$307$	395.674	+	395.674i	1.28884	+	1.28884i	0.353351	+	0.935491i	$0.385042\pi$
$308$	−78.1095	+	12.3713i	−0.253602	+	0.0401667i
$309$	−5.28462	−	1.71708i	−0.0171023	−	0.00555688i
$310$	110.916	−	77.4655i	0.357792	−	0.249889i
$311$	−149.055	−	458.744i	−0.479276	−	1.47506i	−0.840102	−	0.542428i	$-0.817505\pi$
$311$	−149.055	−	458.744i	−0.479276	−	1.47506i	0.360826	−	0.932633i	$-0.382495\pi$
$312$	22.5794	−	11.5048i	0.0723697	−	0.0368742i
$313$	99.5948	+	195.466i	0.318194	+	0.624492i	0.993600	−	0.112955i	$-0.0360315\pi$
$313$	99.5948	+	195.466i	0.318194	+	0.624492i	−0.675406	+	0.737446i	$0.736032\pi$
$314$	−207.548	+	67.4365i	−0.660982	+	0.214766i
$315$	37.6824	+	53.9539i	0.119627	+	0.171282i
$316$	25.4025	−	78.1807i	0.0803875	−	0.247407i
$317$	41.2111	+	260.197i	0.130003	+	0.820809i	0.963387	+	0.268114i	$0.0864005\pi$
$317$	41.2111	+	260.197i	0.130003	+	0.820809i	−0.833384	+	0.552695i	$0.813599\pi$
$318$	−278.875	+	278.875i	−0.876967	+	0.876967i
$319$	165.517	−	227.814i	0.518862	−	0.714152i
$320$	0.100500	−	0.0488678i	0.000314063	−	0.000152712i
$321$	186.165	−	135.257i	0.579954	−	0.421361i
$322$	−211.469	−	33.4934i	−0.656737	−	0.104017i
$323$	−651.095	−	331.749i	−2.01577	−	1.02709i
$324$		−	19.9840i		−	0.0616789i
$325$	56.0594	+	60.4067i	0.172491	+	0.185867i
$326$	734.423			2.25283
$327$	168.112	−	329.938i	0.514103	−	1.00898i
$328$	−31.2950	+	197.589i	−0.0954116	+	0.602405i
$329$	−103.946	−	143.069i	−0.315944	−	0.434860i
$330$	30.6551	−	172.641i	0.0928944	−	0.523154i
$331$	42.7419	+	31.0538i	0.129130	+	0.0938181i	0.650475	−	0.759527i	$-0.274570\pi$
$331$	42.7419	+	31.0538i	0.129130	+	0.0938181i	−0.521346	+	0.853346i	$0.674570\pi$
$332$	162.597	+	162.597i	0.489749	+	0.489749i
$333$	72.0401	−	11.4100i	0.216337	−	0.0342644i
$334$	−67.2367	−	21.8465i	−0.201307	−	0.0654088i
$335$	−38.9699	−	128.015i	−0.116328	−	0.382134i
$336$	46.8510	+	144.192i	0.139437	+	0.429144i
$337$	556.543	−	283.573i	1.65146	−	0.841463i	0.655167	−	0.755484i	$-0.272598\pi$
$337$	556.543	−	283.573i	1.65146	−	0.841463i	0.996297	−	0.0859789i	$-0.0274018\pi$
$338$	179.053	+	351.411i	0.529742	+	1.03968i
$339$	−232.779	+	75.6346i	−0.686664	+	0.223111i
$340$	−188.740	+	249.841i	−0.555116	+	0.734826i
$341$	27.2150	−	83.7590i	0.0798092	−	0.245628i
$342$	30.3269	+	191.477i	0.0886752	+	0.559873i
$343$	244.312	−	244.312i	0.712279	−	0.712279i
$344$	31.4781	−	43.3259i	0.0915062	−	0.125947i
$345$	79.7323	−	149.521i	0.231108	−	0.433394i
$346$	−94.6688	+	68.7809i	−0.273609	+	0.198789i
$347$	89.7958	+	14.2223i	0.258777	+	0.0409863i	0.284475	−	0.958683i	$-0.408181\pi$
$347$	89.7958	+	14.2223i	0.258777	+	0.0409863i	−0.0256976	+	0.999670i	$0.508181\pi$
$348$	118.867	+	60.5658i	0.341572	+	0.174040i
$349$		−	481.591i		−	1.37992i	−0.723849	−	0.689958i	$-0.757629\pi$
$349$		−	481.591i		−	1.37992i	0.723849	−	0.689958i	$-0.242371\pi$
$350$	−227.158	+	152.427i	−0.649024	+	0.435507i
$351$	17.1289			0.0488002
$352$	117.960	−	231.509i	0.335113	−	0.657697i
$353$	−51.1852	+	323.170i	−0.145000	+	0.915497i	0.802711	+	0.596368i	$0.203390\pi$
$353$	−51.1852	+	323.170i	−0.145000	+	0.915497i	−0.947711	+	0.319129i	$0.896610\pi$
$354$	−270.058	−	371.703i	−0.762877	−	1.05001i
$355$	183.971	−	177.232i	0.518228	−	0.499245i
$356$	−205.156	−	149.054i	−0.576281	−	0.418692i
$357$	−151.547	−	151.547i	−0.424501	−	0.424501i
$358$	272.437	−	43.1498i	0.760998	−	0.120530i
$359$	661.981	+	215.091i	1.84396	+	0.599138i	0.997807	+	0.0661963i	$0.0210863\pi$
$359$	661.981	+	215.091i	1.84396	+	0.599138i	0.846152	+	0.532942i	$0.178914\pi$
$360$	−66.5639	−	1.24188i	−0.184900	−	0.00344966i
$361$	−95.8935	−	295.130i	−0.265633	−	0.817534i
$362$	−418.109	+	213.037i	−1.15500	+	0.588500i
$363$	43.3270	+	85.0340i	0.119358	+	0.234253i
$364$	30.5418	−	9.92363i	0.0839061	−	0.0272627i
$365$	−538.976	−	186.309i	−1.47665	−	0.510436i
$366$	−20.4710	+	63.0032i	−0.0559316	+	0.172140i
$367$	−69.4532	−	438.510i	−0.189246	−	1.19485i	−0.881141	−	0.472853i	$-0.843224\pi$
$367$	−69.4532	−	438.510i	−0.189246	−	1.19485i	0.691896	−	0.721997i	$-0.256776\pi$
$368$	276.041	−	276.041i	0.750111	−	0.750111i
$369$	−79.4803	+	109.395i	−0.215394	+	0.296464i
$370$	41.8350	+	300.289i	0.113068	+	0.811592i
$371$	324.051	−	235.437i	0.873454	−	0.634601i
$372$	41.2100	+	6.52702i	0.110779	+	0.0175457i
$373$	208.656	+	106.315i	0.559399	+	0.285028i	0.710741	−	0.703453i	$-0.248360\pi$
$373$	208.656	+	106.315i	0.559399	+	0.285028i	−0.151342	+	0.988481i	$0.548360\pi$
$374$			571.022i			1.52680i
$375$	−55.2818	−	209.330i	−0.147418	−	0.558213i
$376$	178.899			0.475796
$377$	−51.9128	+	101.885i	−0.137700	+	0.270251i
$378$	−8.89461	+	56.1584i	−0.0235307	+	0.148567i
$379$	45.5534	+	62.6989i	0.120194	+	0.165432i	0.864874	−	0.501989i	$-0.167398\pi$
$379$	45.5534	+	62.6989i	0.120194	+	0.165432i	−0.744680	+	0.667421i	$0.767398\pi$
$380$	−284.904	+	39.6917i	−0.749748	+	0.104452i
$381$	−261.387	−	189.909i	−0.686055	−	0.498448i
$382$	−270.126	−	270.126i	−0.707137	−	0.707137i
$383$	−484.436	+	76.7271i	−1.26485	+	0.200332i	−0.752583	−	0.658497i	$-0.771192\pi$
$383$	−484.436	+	76.7271i	−1.26485	+	0.200332i	−0.512262	+	0.858829i	$0.671192\pi$
$384$	−210.806	−	68.4949i	−0.548973	−	0.178372i
$385$	−58.1794	+	168.308i	−0.151115	+	0.437164i
$386$	265.761	+	817.928i	0.688500	+	2.11898i
$387$	32.2529	−	16.4337i	0.0833409	−	0.0424643i
$388$	59.3481	+	116.477i	0.152959	+	0.300199i
$389$	−229.887	+	74.6949i	−0.590970	+	0.192018i	−0.589209	−	0.807981i	$-0.700561\pi$
$389$	−229.887	+	74.6949i	−0.590970	+	0.192018i	−0.00176103	+	0.999998i	$0.500561\pi$
$390$	−1.32817	+	71.1890i	−0.00340556	+	0.182536i
$391$	−170.528	+	524.832i	−0.436134	+	1.34228i
$392$	20.6566	+	130.421i	0.0526955	+	0.332706i
$393$	−200.799	+	200.799i	−0.510938	+	0.510938i
$394$	314.863	−	433.372i	0.799145	−	1.09993i
$395$	−128.426	−	133.310i	−0.325130	−	0.337493i
$396$	43.7483	−	31.7850i	0.110475	−	0.0802651i
$397$	−357.414	−	56.6087i	−0.900286	−	0.142591i	−0.310900	−	0.950443i	$-0.600630\pi$
$397$	−357.414	−	56.6087i	−0.900286	−	0.142591i	−0.589386	+	0.807851i	$0.700630\pi$
$398$	−581.757	−	296.420i	−1.46170	−	0.744774i
$399$		−	196.891i		−	0.493462i
$400$	18.6051	−	498.438i	0.0465128	−	1.24610i
$401$	−41.2205			−0.102794			−0.0513972	−	0.998678i	$-0.516367\pi$
$401$	−41.2205			−0.102794			−0.0513972	+	0.998678i	$0.516367\pi$
$402$	52.4871	−	103.012i	0.130565	−	0.256248i
$403$	−5.59451	+	35.3223i	−0.0138822	+	0.0876485i
$404$	−99.3269	−	136.712i	−0.245859	−	0.338395i
$405$	−39.7072	−	21.1739i	−0.0980425	−	0.0522813i
$406$	−307.080	−	223.106i	−0.756354	−	0.549523i
$407$	139.560	+	139.560i	0.342899	+	0.342899i
$408$	214.142	−	33.9168i	0.524859	−	0.0831295i
$409$	−11.1021	−	3.60730i	−0.0271446	−	0.00881980i	0.295413	−	0.955370i	$-0.404543\pi$
$409$	−11.1021	−	3.60730i	−0.0271446	−	0.00881980i	−0.322558	+	0.946550i	$0.604543\pi$
$410$	−448.492	−	338.809i	−1.09388	−	0.826363i
$411$	68.2837	+	210.156i	0.166140	+	0.511328i
$412$	6.34698	−	3.23395i	0.0154053	−	0.00784938i
$413$	211.844	+	415.768i	0.512940	+	1.00670i
$414$	139.236	−	45.2407i	0.336320	−	0.109277i
$415$	495.351	−	150.793i	1.19362	−	0.363358i
$416$	−32.6042	+	100.346i	−0.0783756	+	0.241215i
$417$	−5.02907	−	31.7523i	−0.0120601	−	0.0761445i
$418$	−370.939	+	370.939i	−0.887414	+	0.887414i
$419$	172.247	−	237.078i	0.411091	−	0.565818i	−0.552393	−	0.833584i	$-0.686285\pi$
$419$	172.247	−	237.078i	0.411091	−	0.565818i	0.963484	+	0.267766i	$0.0862853\pi$
$420$	−83.0675	−	14.7500i	−0.197780	−	0.0351190i
$421$	−180.537	+	131.168i	−0.428830	+	0.311563i	−0.781181	−	0.624305i	$-0.785382\pi$
$421$	−180.537	+	131.168i	−0.428830	+	0.311563i	0.352351	+	0.935868i	$0.385382\pi$
$422$	40.3415	+	6.38947i	0.0955960	+	0.0151409i
$423$	107.743	+	54.8977i	0.254711	+	0.129782i
$424$			405.207i			0.955677i
$425$	296.444	+	639.735i	0.697515	+	1.50526i
$426$	220.705			0.518088
$427$	30.5446	−	59.9471i	0.0715329	−	0.140391i
$428$	−46.1479	+	291.366i	−0.107822	+	0.680763i
$429$	27.2439	+	37.4980i	0.0635056	+	0.0874080i
$430$	65.7988	+	135.320i	0.153021	+	0.314698i
$431$	−251.983	−	183.076i	−0.584647	−	0.424771i	0.255750	−	0.966743i	$-0.417678\pi$
$431$	−251.983	−	183.076i	−0.584647	−	0.424771i	−0.840396	+	0.541972i	$0.817678\pi$
$432$	−73.3061	−	73.3061i	−0.169690	−	0.169690i
$433$	384.955	−	60.9708i	0.889041	−	0.140810i	0.304825	−	0.952408i	$-0.401402\pi$
$433$	384.955	−	60.9708i	0.889041	−	0.140810i	0.584216	+	0.811598i	$0.301402\pi$
$434$	−112.902	−	36.6841i	−0.260143	−	0.0845255i
$435$	246.287	−	172.011i	0.566176	−	0.395428i
$436$	146.694	+	451.477i	0.336454	+	1.03550i
$437$	−451.710	+	230.158i	−1.03366	+	0.526677i
$438$	−223.680	−	438.997i	−0.510685	−	1.00228i
$439$	648.013	−	210.552i	1.47611	−	0.479617i	0.543162	−	0.839628i	$-0.317227\pi$
$439$	648.013	−	210.552i	1.47611	−	0.479617i	0.932948	+	0.360010i	$0.117227\pi$
$440$	−103.153	−	147.695i	−0.234438	−	0.335670i
$441$	−27.5809	+	84.8852i	−0.0625416	+	0.192483i
$442$	−36.2735	−	229.022i	−0.0820667	−	0.518149i
$443$	109.896	−	109.896i	0.248072	−	0.248072i	−0.572107	−	0.820179i	$-0.693874\pi$
$443$	109.896	−	109.896i	0.248072	−	0.248072i	0.820179	+	0.572107i	$0.193874\pi$
$444$	−54.9606	+	75.6468i	−0.123785	+	0.170376i
$445$	−513.537	+	249.705i	−1.15401	+	0.561135i
$446$	87.4826	−	63.5598i	0.196149	−	0.142511i
$447$	−18.0729	−	2.86246i	−0.0404315	−	0.00640372i
$448$	−0.0873705	−	0.0445175i	−0.000195023	−	9.93694e-5i
$449$		−	352.558i		−	0.785208i	−0.919708	−	0.392604i	$-0.871574\pi$
$449$		−	352.558i		−	0.785208i	0.919708	−	0.392604i	$-0.128426\pi$
$450$	91.0795	−	163.385i	0.202399	−	0.363077i
$451$	−365.900			−0.811308
$452$	142.450	−	279.574i	0.315156	−	0.618527i
$453$	−32.4624	+	204.959i	−0.0716609	+	0.452449i
$454$	239.053	+	329.028i	0.526547	+	0.724730i
$455$	12.6427	−	71.1997i	0.0277861	−	0.156483i
$456$	161.141	+	117.076i	0.353379	+	0.256745i
$457$	−453.981	−	453.981i	−0.993395	−	0.993395i	0.00658340	−	0.999978i	$-0.497904\pi$
$457$	−453.981	−	453.981i	−0.993395	−	0.993395i	−0.999978	+	0.00658340i	$0.997904\pi$
$458$	23.1696	−	3.66971i	0.0505887	−	0.00801247i
$459$	139.376	+	45.2859i	0.303651	+	0.0986622i
$460$	63.2629	+	207.816i	0.137528	+	0.451774i
$461$	20.3868	+	62.7440i	0.0442229	+	0.136104i	0.970730	−	0.240173i	$-0.0772041\pi$
$461$	20.3868	+	62.7440i	0.0442229	+	0.136104i	−0.926507	+	0.376277i	$0.877204\pi$
$462$	−137.087	+	69.8494i	−0.296726	+	0.151189i
$463$	−186.633	−	366.287i	−0.403094	−	0.791117i	0.596843	−	0.802358i	$-0.296422\pi$
$463$	−186.633	−	366.287i	−0.403094	−	0.791117i	−0.999937	+	0.0112413i	$0.996422\pi$
$464$	658.204	−	213.863i	1.41854	−	0.460913i
$465$	56.6327	−	74.9666i	0.121791	−	0.161219i
$466$	−20.7109	+	63.7416i	−0.0444440	+	0.136785i
$467$	−35.3093	−	222.934i	−0.0756088	−	0.477375i	−0.996218	−	0.0868898i	$-0.972307\pi$
$467$	−35.3093	−	222.934i	−0.0756088	−	0.477375i	0.920609	−	0.390485i	$-0.127693\pi$
$468$	−15.5272	+	15.5272i	−0.0331777	+	0.0331777i
$469$	−69.0169	+	94.9936i	−0.147158	+	0.202545i
$470$	−236.513	+	443.531i	−0.503220	+	0.943682i
$471$	−122.608	+	89.0803i	−0.260315	+	0.189130i
$472$	−466.241	−	73.8454i	−0.987799	−	0.156452i
$473$	87.2752	+	44.4689i	0.184514	+	0.0940147i
$474$		−	159.928i		−	0.337401i
$475$	−223.004	+	608.147i	−0.469482	+	1.28031i
$476$	274.752			0.577210
$477$	−124.343	+	244.037i	−0.260678	+	0.511609i
$478$	133.371	−	842.072i	0.279019	−	1.76166i
$479$	107.714	+	148.256i	0.224874	+	0.309512i	0.906514	−	0.422175i	$-0.138733\pi$
$479$	107.714	+	148.256i	0.224874	+	0.309512i	−0.681641	+	0.731687i	$0.738733\pi$
$480$	199.624	−	192.312i	0.415883	−	0.400649i
$481$	−64.8392	−	47.1084i	−0.134801	−	0.0979386i
$482$	−158.040	−	158.040i	−0.327884	−	0.327884i
$483$	−146.858	+	23.2600i	−0.304054	+	0.0481574i
$484$	−116.358	−	37.8070i	−0.240409	−	0.0781137i
$485$	294.317	+	5.49105i	0.606839	+	0.0113218i
$486$	−12.0142	−	36.9760i	−0.0247206	−	0.0760823i
$487$	389.069	−	198.241i	0.798910	−	0.407065i	−0.00635532	−	0.999980i	$-0.502023\pi$
$487$	389.069	−	198.241i	0.798910	−	0.407065i	0.805265	+	0.592915i	$0.202023\pi$
$488$	30.8997	+	60.6441i	0.0633191	+	0.124271i
$489$	485.068	−	157.608i	0.991960	−	0.322307i
$490$	−350.651	−	121.210i	−0.715614	−	0.247368i
$491$	−58.5836	+	180.302i	−0.119315	+	0.367213i	−0.992823	−	0.119597i	$-0.961840\pi$
$491$	−58.5836	+	180.302i	−0.119315	+	0.367213i	0.873508	+	0.486810i	$0.161840\pi$
$492$	−27.1176	−	171.214i	−0.0551172	−	0.347996i
$493$	−691.775	+	691.775i	−1.40320	+	1.40320i
$494$	125.210	−	172.337i	0.253462	−	0.348861i
$495$	−16.8020	−	120.604i	−0.0339434	−	0.243643i
$496$	175.111	−	127.226i	0.353046	−	0.256503i
$497$	−221.393	−	35.0652i	−0.445458	−	0.0705537i
$498$	398.602	+	203.098i	0.800406	+	0.407827i
$499$		−	326.118i		−	0.653543i	−0.945103	−	0.326772i	$-0.894039\pi$
$499$		−	326.118i		−	0.653543i	0.945103	−	0.326772i	$-0.105961\pi$
$500$	239.868	+	139.643i	0.479736	+	0.279286i
$501$	−49.0964			−0.0979969
$502$	294.091	−	577.187i	0.585839	−	1.14977i
$503$	40.6961	−	256.945i	0.0809069	−	0.510826i	−0.913639	−	0.406526i	$-0.866740\pi$
$503$	40.6961	−	256.945i	0.0809069	−	0.510826i	0.994546	−	0.104299i	$-0.0332600\pi$
$504$	34.3372	+	47.2611i	0.0681294	+	0.0937720i
$505$	−376.881	+	52.5055i	−0.746300	+	0.103971i
$506$	320.498	+	232.856i	0.633396	+	0.460189i
$507$	193.673	+	193.673i	0.381998	+	0.381998i
$508$	409.096	−	64.7944i	0.805306	−	0.127548i
$509$	592.785	+	192.608i	1.16461	+	0.378404i	0.826627	−	0.562750i	$-0.190256\pi$
$509$	592.785	+	192.608i	1.16461	+	0.378404i	0.337980	+	0.941153i	$0.390256\pi$
$510$	−199.019	+	575.745i	−0.390234	+	1.12891i
$511$	154.630	+	475.902i	0.302603	+	0.931316i
$512$	253.382	−	129.105i	0.494887	−	0.252158i
$513$	61.1213	+	119.957i	0.119145	+	0.233835i
$514$	418.388	−	135.943i	0.813985	−	0.264480i
$515$	0.299214	−	16.0377i	0.000580998	−	0.0311411i
$516$	−14.3400	+	44.1340i	−0.0277907	+	0.0855310i
$517$	51.1872	+	323.183i	0.0990081	+	0.625112i
$518$	188.118	−	188.118i	0.363162	−	0.363162i
$519$	−47.7659	+	65.7441i	−0.0920345	+	0.126675i
$520$	50.7540	+	52.6838i	0.0976039	+	0.101315i
$521$	632.041	−	459.205i	1.21313	−	0.881391i	0.217619	−	0.976034i	$-0.430171\pi$
$521$	632.041	−	459.205i	1.21313	−	0.881391i	0.995511	+	0.0946427i	$0.0301709\pi$
$522$	256.350	+	40.6018i	0.491091	+	0.0777812i
$523$	−63.5674	−	32.3892i	−0.121544	−	0.0619296i	0.392161	−	0.919896i	$-0.371727\pi$
$523$	−63.5674	−	32.3892i	−0.121544	−	0.0619296i	−0.513705	+	0.857967i	$0.671727\pi$
$524$		−	364.044i		−	0.694741i
$525$	−117.321	+	149.423i	−0.223469	+	0.284615i
$526$	223.648			0.425186
$527$	−138.908	+	272.623i	−0.263583	+	0.517311i
$528$	43.8843	−	277.075i	0.0831143	−	0.524763i
$529$	−85.9045	−	118.237i	−0.162390	−	0.223511i
$530$	−1004.60	−	535.703i	−1.89547	−	1.01076i
$531$	−258.135	−	187.546i	−0.486130	−	0.353194i
$532$	178.480	+	178.480i	0.335489	+	0.335489i
$533$	146.753	−	23.2434i	0.275334	−	0.0436086i
$534$	−469.207	−	152.455i	−0.878665	−	0.285496i
$535$	530.036	+	400.410i	0.990721	+	0.748430i
$536$	−36.7063	−	112.970i	−0.0684818	−	0.210765i
$537$	170.678	−	86.9648i	0.317836	−	0.161946i
$538$	56.4728	+	110.834i	0.104968	+	0.206011i
$539$	−229.696	+	74.6328i	−0.426152	+	0.138465i
$540$	55.1882	−	16.8003i	0.102200	−	0.0311116i
$541$	146.082	−	449.594i	0.270022	−	0.831042i	−0.720472	−	0.693484i	$-0.756075\pi$
$541$	146.082	−	449.594i	0.270022	−	0.831042i	0.990494	−	0.137558i	$-0.0439252\pi$
$542$	−85.0083	−	536.721i	−0.156842	−	0.990260i
$543$	−230.432	+	230.432i	−0.424369	+	0.424369i
$544$	−530.594	+	730.300i	−0.975357	+	1.34246i
$545$	1052.49	+	186.887i	1.93118	+	0.342912i
$546$	50.5450	−	36.7231i	0.0925732	−	0.0672584i
$547$	−24.1496	−	3.82493i	−0.0441492	−	0.00699255i	0.134321	−	0.990938i	$-0.457115\pi$
$547$	−24.1496	−	3.82493i	−0.0441492	−	0.00699255i	−0.178470	+	0.983945i	$0.557115\pi$
$548$	−252.403	−	128.606i	−0.460589	−	0.234682i
$549$			46.0051i			0.0837981i
$550$	502.540	−	60.4788i	0.913710	−	0.109961i
$551$	−898.762			−1.63115
$552$	68.2881	−	134.023i	0.123710	−	0.242795i
$553$	−25.4091	+	160.426i	−0.0459477	+	0.290102i
$554$	−52.1412	−	71.7662i	−0.0941176	−	0.129542i
$555$	92.0734	+	189.356i	0.165898	+	0.341181i
$556$	33.3420	+	24.2244i	0.0599676	+	0.0435690i
$557$	361.027	+	361.027i	0.648163	+	0.648163i	0.952549	−	0.304385i	$-0.0984511\pi$
$557$	361.027	+	361.027i	0.648163	+	0.648163i	−0.304385	+	0.952549i	$0.598451\pi$
$558$	80.1741	−	12.6983i	0.143681	−	0.0227569i
$559$	−37.8286	−	12.2913i	−0.0676720	−	0.0219880i
$560$	−358.819	+	250.606i	−0.640747	+	0.447510i
$561$	122.542	+	377.146i	0.218435	+	0.672274i
$562$	−826.208	+	420.974i	−1.47012	+	0.749064i
$563$	412.123	+	808.836i	0.732012	+	1.43665i	0.893167	+	0.449725i	$0.148478\pi$
$563$	412.123	+	808.836i	0.732012	+	1.43665i	−0.161155	+	0.986929i	$0.551522\pi$
$564$	−147.432	+	47.9036i	−0.261404	+	0.0849354i
$565$	−404.569	−	579.264i	−0.716051	−	1.02525i
$566$	−192.662	+	592.952i	−0.340392	+	1.04762i
$567$	6.17699	+	39.0000i	0.0108942	+	0.0687830i
$568$	160.343	−	160.343i	0.282294	−	0.282294i
$569$	−100.389	+	138.174i	−0.176430	+	0.242836i	−0.888069	−	0.459710i	$-0.847953\pi$
$569$	−100.389	+	138.174i	−0.176430	+	0.242836i	0.711639	+	0.702546i	$0.247953\pi$
$570$	−503.292	+	244.724i	−0.882968	+	0.429340i
$571$	−18.3779	+	13.3524i	−0.0321855	+	0.0233842i	−0.603762	−	0.797165i	$-0.706332\pi$
$571$	−18.3779	+	13.3524i	−0.0321855	+	0.0233842i	0.571576	+	0.820549i	$0.306332\pi$
$572$	−58.6880	−	9.29526i	−0.102601	−	0.0162505i
$573$	−236.381	−	120.442i	−0.412533	−	0.210196i
$574$			493.210i			0.859252i
$575$	479.951	+	94.4905i	0.834698	+	0.164331i
$576$	0.0670507			0.000116407
$577$	−208.067	+	408.355i	−0.360602	+	0.707721i	−0.998027	−	0.0627918i	$-0.980000\pi$
$577$	−208.067	+	408.355i	−0.360602	+	0.707721i	0.637425	+	0.770512i	$0.280000\pi$
$578$	197.586	−	1247.51i	0.341845	−	2.15832i
$579$	351.057	+	483.188i	0.606316	+	0.834522i
$580$	−67.3301	+	379.183i	−0.116086	+	0.653764i
$581$	−367.576	−	267.059i	−0.632661	−	0.459655i
$582$	179.836	+	179.836i	0.308997	+	0.308997i
$583$	−732.010	+	115.939i	−1.25559	+	0.198866i
$584$	−481.436	−	156.428i	−0.824377	−	0.267856i
$585$	14.4000	+	47.3036i	0.0246154	+	0.0808608i
$586$	−31.0525	−	95.5697i	−0.0529906	−	0.163088i
$587$	804.250	−	409.786i	1.37010	−	0.698102i	0.394757	−	0.918785i	$-0.370829\pi$
$587$	804.250	−	409.786i	1.37010	−	0.698102i	0.975346	+	0.220683i	$0.0708286\pi$
$588$	−51.9459	−	101.949i	−0.0883433	−	0.173383i
$589$	−267.333	+	86.8618i	−0.453876	+	0.147473i
$590$	799.471	−	1058.29i	1.35504	−	1.79371i
$591$	114.957	−	353.801i	0.194513	−	0.598649i
$592$	75.8820	+	479.100i	0.128179	+	0.809291i
$593$	−244.551	+	244.551i	−0.412397	+	0.412397i	−0.882573	−	0.470176i	$-0.844190\pi$
$593$	−244.551	+	244.551i	−0.412397	+	0.412397i	0.470176	+	0.882573i	$0.344190\pi$
$594$	61.8378	−	85.1124i	0.104104	−	0.143287i
$595$	291.112	−	545.919i	0.489264	−	0.917511i
$596$	18.9777	−	13.7881i	0.0318418	−	0.0231344i
$597$	−447.848	−	70.9322i	−0.750164	−	0.118814i
$598$	−143.335	−	73.0330i	−0.239691	−	0.122129i
$599$		−	40.7095i		−	0.0679624i	−0.999422	−	0.0339812i	$-0.989181\pi$
$599$		−	40.7095i		−	0.0679624i	0.999422	−	0.0339812i	$-0.0108186\pi$
$600$	−52.5298	−	184.869i	−0.0875496	−	0.308114i
$601$	713.924			1.18789			0.593947	−	0.804504i	$-0.297569\pi$
$601$	713.924			1.18789			0.593947	+	0.804504i	$0.297569\pi$
$602$	59.9414	−	117.642i	0.0995704	−	0.195418i
$603$	12.5600	−	79.3005i	0.0208291	−	0.131510i
$604$	−156.367	−	215.221i	−0.258886	−	0.356326i
$605$	−198.408	+	191.140i	−0.327947	+	0.315934i
$606$	−265.973	−	193.241i	−0.438900	−	0.318879i
$607$	374.723	+	374.723i	0.617337	+	0.617337i	0.944847	−	0.327511i	$-0.106210\pi$
$607$	374.723	+	374.723i	0.617337	+	0.617337i	−0.327511	+	0.944847i	$0.606210\pi$
$608$	−819.084	+	129.730i	−1.34718	+	0.213372i
$609$	−250.697	−	81.4565i	−0.411654	−	0.133755i
$610$	−191.201	−	3.56723i	−0.313444	−	0.00584791i
$611$	−41.0597	−	126.369i	−0.0672007	−	0.206823i
$612$	−167.394	+	85.2916i	−0.273520	+	0.139365i
$613$	−117.286	−	230.186i	−0.191331	−	0.375508i	0.775335	−	0.631551i	$-0.217581\pi$
$613$	−117.286	−	230.186i	−0.191331	−	0.375508i	−0.966665	+	0.256043i	$0.917581\pi$
$614$	−1327.30	+	431.267i	−2.16173	+	0.702389i
$615$	−368.927	−	127.528i	−0.599881	−	0.207362i
$616$	−48.8484	+	150.340i	−0.0792993	+	0.244058i
$617$	−63.8697	−	403.258i	−0.103517	−	0.653578i	−0.983819	−	0.179165i	$-0.942660\pi$
$617$	−63.8697	−	403.258i	−0.103517	−	0.653578i	0.880302	−	0.474413i	$-0.157340\pi$
$618$	9.79948	−	9.79948i	0.0158568	−	0.0158568i
$619$	−400.379	+	551.074i	−0.646816	+	0.890265i	−0.998956	−	0.0456817i	$-0.985454\pi$
$619$	−400.379	+	551.074i	−0.646816	+	0.890265i	0.352140	+	0.935947i	$0.385454\pi$
$620$	16.6195	+	119.294i	0.0268056	+	0.192409i
$621$	82.2535	−	59.7606i	0.132453	−	0.0962329i
$622$	1188.21	+	188.195i	1.91031	+	0.302564i
$623$	446.447	+	227.476i	0.716608	+	0.365130i
$624$			113.915i			0.182556i
$625$	531.616	−	328.648i	0.850585	−	0.525837i
$626$	−547.143			−0.874030
$627$	−165.392	+	324.600i	−0.263783	+	0.517703i
$628$	30.3930	−	191.894i	0.0483965	−	0.305564i
$629$	−403.043	−	554.741i	−0.640767	−	0.881940i
$630$	−162.566	+	22.6480i	−0.258041	+	0.0359492i
$631$	−395.032	−	287.008i	−0.626042	−	0.454846i	0.228985	−	0.973430i	$-0.426459\pi$
$631$	−395.032	−	287.008i	−0.626042	−	0.454846i	−0.855027	+	0.518584i	$0.826459\pi$
$632$	−116.188	−	116.188i	−0.183842	−	0.183842i
$633$	28.0158	−	4.43726i	0.0442587	−	0.00700989i
$634$	−624.883	−	203.037i	−0.985620	−	0.320247i
$635$	304.712	−	881.507i	0.479862	−	1.38820i
$636$	−108.502	−	333.934i	−0.170600	−	0.525053i
$637$	87.3841	−	44.5244i	0.137181	−	0.0698970i
$638$	318.846	+	625.771i	0.499759	+	0.980832i
$639$	145.770	−	47.3637i	0.228123	−	0.0741215i
$640$	11.9358	−	639.749i	0.0186496	−	0.999608i
$641$	17.7948	−	54.7668i	0.0277610	−	0.0854396i	−0.936216	−	0.351425i	$-0.885697\pi$
$641$	17.7948	−	54.7668i	0.0277610	−	0.0854396i	0.963977	+	0.265985i	$0.0856973\pi$
$642$	89.7809	+	566.854i	0.139846	+	0.882951i
$643$	−178.471	+	178.471i	−0.277560	+	0.277560i	−0.832134	−	0.554575i	$-0.812881\pi$
$643$	−178.471	+	178.471i	−0.277560	+	0.277560i	0.554575	+	0.832134i	$0.312881\pi$
$644$	112.040	−	154.210i	0.173976	−	0.239457i
$645$	72.4983	+	75.2550i	0.112401	+	0.116674i
$646$	1474.46	−	1071.25i	2.28244	−	1.65829i
$647$	−323.144	−	51.1811i	−0.499450	−	0.0791052i	−0.0983735	−	0.995150i	$-0.531364\pi$
$647$	−323.144	−	51.1811i	−0.499450	−	0.0791052i	−0.401077	+	0.916044i	$0.631364\pi$
$648$	−35.5915	−	18.1348i	−0.0549252	−	0.0279858i
$649$		−	863.397i		−	1.33035i
$650$	−197.714	+	56.1797i	−0.304175	+	0.0864304i
$651$	−82.4413			−0.126638
$652$	−296.840	+	582.581i	−0.455276	+	0.893529i
$653$	51.9339	−	327.898i	0.0795313	−	0.502141i	−0.915479	−	0.402366i	$-0.868188\pi$
$653$	51.9339	−	327.898i	0.0795313	−	0.502141i	0.995010	−	0.0997745i	$-0.0318121\pi$
$654$	542.850	+	747.170i	0.830047	+	1.14246i
$655$	−723.339	−	385.722i	−1.10433	−	0.588888i
$656$	−727.530	−	528.581i	−1.10904	−	0.805764i
$657$	−241.945	−	241.945i	−0.368257	−	0.368257i
$658$	435.631	−	68.9971i	0.662053	−	0.104859i
$659$	−1028.88	−	334.304i	−1.56128	−	0.507290i	−0.604129	−	0.796887i	$-0.706479\pi$
$659$	−1028.88	−	334.304i	−1.56128	−	0.507290i	−0.957149	+	0.289597i	$0.906479\pi$
$660$	124.557	+	94.0952i	0.188723	+	0.142568i
$661$	−277.189	−	853.099i	−0.419348	−	1.29062i	−0.908304	−	0.418311i	$-0.862622\pi$
$661$	−277.189	−	853.099i	−0.419348	−	1.29062i	0.488956	−	0.872308i	$-0.337378\pi$
$662$	−117.405	+	59.8209i	−0.177349	+	0.0903640i
$663$	−73.1061	−	143.479i	−0.110266	−	0.216408i
$664$	437.136	−	142.034i	0.658337	−	0.213907i
$665$	543.740	−	165.524i	0.817655	−	0.248908i
$666$	−56.2144	+	173.010i	−0.0844059	+	0.259775i
$667$	106.176	+	670.371i	0.159185	+	1.00505i
$668$	44.5055	−	44.5055i	0.0666250	−	0.0666250i
$669$	44.1400	−	60.7536i	0.0659791	−	0.0908125i
$670$	328.605	+	58.3492i	0.490456	+	0.0870883i
$671$	−100.713	+	73.1723i	−0.150094	+	0.109050i
$672$	−240.230	−	38.0487i	−0.357485	−	0.0566201i
$673$	1010.22	+	514.734i	1.50107	+	0.764834i	0.995208	−	0.0977789i	$-0.0311738\pi$
$673$	1010.22	+	514.734i	1.50107	+	0.764834i	0.505864	+	0.862613i	$0.331174\pi$
$674$			1557.86i			2.31137i
$675$	25.0932	−	127.457i	0.0371751	−	0.188825i
$676$	−351.126			−0.519417
$677$	−3.48729	+	6.84418i	−0.00515109	+	0.0101096i	−0.893568	−	0.448928i	$-0.851806\pi$
$677$	−3.48729	+	6.84418i	−0.00515109	+	0.0101096i	0.888417	+	0.459038i	$0.151806\pi$
$678$	95.4951	−	602.932i	0.140848	−	0.889281i
$679$	−151.824	−	208.968i	−0.223600	−	0.307759i
$680$	273.692	+	562.868i	0.402489	+	0.827747i
$681$	228.498	+	166.013i	0.335533	+	0.243779i
$682$	155.318	+	155.318i	0.227738	+	0.227738i
$683$	406.342	−	64.3583i	0.594938	−	0.0942289i	0.148298	−	0.988943i	$-0.452621\pi$
$683$	406.342	−	64.3583i	0.594938	−	0.0942289i	0.446640	+	0.894714i	$0.352621\pi$
$684$	−164.146	−	53.3343i	−0.239980	−	0.0779742i
$685$	−522.966	+	365.249i	−0.763454	+	0.533211i
$686$	266.288	+	819.551i	0.388175	+	1.19468i
$687$	14.5154	−	7.39599i	0.0211287	−	0.0107656i
$688$	109.292	+	214.497i	0.158854	+	0.311769i
$689$	286.225	−	93.0001i	0.415421	−	0.134978i
$690$	241.992	+	346.486i	0.350713	+	0.502153i
$691$	−336.357	+	1035.20i	−0.486769	+	1.49812i	0.342633	+	0.939469i	$0.388681\pi$
$691$	−336.357	+	1035.20i	−0.486769	+	1.49812i	−0.829402	+	0.558652i	$0.811319\pi$
$692$	−16.2971	−	102.896i	−0.0235507	−	0.148693i
$693$	−75.5529	+	75.5529i	−0.109023	+	0.109023i
$694$	−133.280	+	183.444i	−0.192046	+	0.264329i
$695$	83.4600	−	40.5821i	0.120086	−	0.0583915i
$696$	215.736	−	156.741i	0.309965	−	0.225203i
$697$	1255.56	+	198.862i	1.80138	+	0.285311i
$698$	1070.21	+	545.300i	1.53325	+	0.781232i
$699$			46.5443i			0.0665870i
$700$	−29.0999	−	241.801i	−0.0415712	−	0.345431i
$701$	356.852			0.509061			0.254530	−	0.967065i	$-0.418079\pi$
$701$	356.852			0.509061			0.254530	+	0.967065i	$0.418079\pi$
$702$	−19.3948	+	38.0645i	−0.0276280	+	0.0542230i
$703$	98.5439	−	622.181i	0.140176	−	0.885038i
$704$	0.106646	+	0.146785i	0.000151485	+	0.000208502i
$705$	−61.0289	+	343.697i	−0.0865658	+	0.487513i
$706$	−660.207	−	479.668i	−0.935137	−	0.679417i
$707$	236.100	+	236.100i	0.333946	+	0.333946i
$708$	404.006	−	63.9882i	0.570630	−	0.0903788i
$709$	449.573	+	146.075i	0.634095	+	0.206030i	0.608388	−	0.793640i	$-0.291816\pi$
$709$	449.573	+	146.075i	0.634095	+	0.206030i	0.0257068	+	0.999670i	$0.491816\pi$
$710$	185.544	+	609.506i	0.261330	+	0.858458i
$711$	−34.3208	−	105.629i	−0.0482712	−	0.148563i
$712$	−451.639	+	230.121i	−0.634324	+	0.323204i
$713$	96.3704	+	189.138i	0.135162	+	0.265270i
$714$	508.369	−	165.179i	0.712001	−	0.231343i
$715$	−80.6519	+	106.762i	−0.112800	+	0.149317i
$716$	−75.8853	+	233.551i	−0.105985	+	0.326188i
$717$	−92.6215	−	584.789i	−0.129179	−	0.815606i
$718$	−1227.54	+	1227.54i	−1.70966	+	1.70966i
$719$	−396.460	+	545.680i	−0.551404	+	0.758943i	−0.990202	−	0.139643i	$-0.955404\pi$
$719$	−396.460	+	545.680i	−0.551404	+	0.758943i	0.438798	+	0.898586i	$0.355404\pi$
$720$	140.817	−	264.072i	0.195579	−	0.366766i
$721$	−11.3869	+	8.27308i	−0.0157932	+	0.0114745i
$722$	764.429	+	121.074i	1.05877	+	0.167692i
$723$	−138.297	−	70.4658i	−0.191282	−	0.0974631i
$724$		−	417.770i		−	0.577030i
$725$	682.080	+	535.544i	0.940801	+	0.738682i
$726$	−238.025			−0.327858
$727$	1.56077	−	3.06318i	0.00214686	−	0.00421345i	−0.889931	−	0.456096i	$-0.849247\pi$
$727$	1.56077	−	3.06318i	0.00214686	−	0.00421345i	0.892077	+	0.451883i	$0.149247\pi$
$728$	10.0416	−	63.4004i	0.0137935	−	0.0870885i
$729$	−15.8702	−	21.8435i	−0.0217698	−	0.0299636i
$730$	1024.30	−	986.780i	1.40315	−	1.35175i
$731$	−275.311	−	200.025i	−0.376623	−	0.273633i
$732$	−41.7032	−	41.7032i	−0.0569716	−	0.0569716i
$733$	−218.116	+	34.5462i	−0.297566	+	0.0471299i	−0.303433	−	0.952853i	$-0.598133\pi$
$733$	−218.116	+	34.5462i	−0.297566	+	0.0471299i	0.00586626	+	0.999983i	$0.498133\pi$
$734$	1053.12	+	342.178i	1.43476	+	0.466183i
$735$	−257.608	−	4.80618i	−0.350487	−	0.00653902i
$736$	193.527	+	595.615i	0.262944	+	0.809259i
$737$	193.579	−	98.6335i	0.262658	−	0.133831i
$738$	−153.108	−	300.492i	−0.207464	−	0.407170i
$739$	−218.413	+	70.9668i	−0.295553	+	0.0960308i	−0.453040	−	0.891490i	$-0.649661\pi$
$739$	−218.413	+	70.9668i	−0.295553	+	0.0960308i	0.157488	+	0.987521i	$0.449661\pi$
$740$	−255.113	−	88.1854i	−0.344747	−	0.119169i
$741$	45.7145	−	140.695i	0.0616930	−	0.189872i
$742$	156.278	+	986.703i	0.210618	+	1.32979i
$743$	308.291	−	308.291i	0.414927	−	0.414927i	−0.468524	−	0.883451i	$-0.655214\pi$
$743$	308.291	−	308.291i	0.414927	−	0.414927i	0.883451	+	0.468524i	$0.155214\pi$
$744$	49.0213	−	67.4720i	0.0658888	−	0.0906882i
$745$	−7.28859	−	52.3170i	−0.00978334	−	0.0702242i
$746$	−472.518	+	343.304i	−0.633401	+	0.460193i
$747$	306.852	+	48.6005i	0.410779	+	0.0650610i
$748$	−452.962	−	230.796i	−0.605565	−	0.308551i
$749$		−	582.884i		−	0.778217i
$750$	527.776	+	114.172i	0.703702	+	0.152230i
$751$	158.526			0.211087			0.105544	−	0.994415i	$-0.466342\pi$
$751$	158.526			0.211087			0.105544	+	0.994415i	$0.466342\pi$
$752$	−365.095	+	716.540i	−0.485499	+	0.952845i
$753$	70.3749	−	444.330i	0.0934594	−	0.590079i
$754$	−167.632	−	230.726i	−0.222324	−	0.306002i
$755$	−593.312	+	82.6577i	−0.785843	+	0.109480i
$756$	−40.9525	−	29.7538i	−0.0541700	−	0.0393568i
$757$	−211.358	−	211.358i	−0.279205	−	0.279205i	0.553587	−	0.832792i	$-0.313259\pi$
$757$	−211.358	−	211.358i	−0.279205	−	0.279205i	−0.832792	+	0.553587i	$0.813259\pi$
$758$	−190.912	+	30.2375i	−0.251863	+	0.0398911i
$759$	261.652	+	85.0160i	0.344733	+	0.112011i
$760$	−187.850	+	543.434i	−0.247171	+	0.715045i
$761$	−124.883	−	384.349i	−0.164103	−	0.505058i	0.834866	−	0.550454i	$-0.185545\pi$
$761$	−124.883	−	384.349i	−0.164103	−	0.505058i	−0.998969	+	0.0453953i	$0.985545\pi$
$762$	717.989	−	365.834i	0.942243	−	0.480097i
$763$	−425.833	−	835.744i	−0.558103	−	1.09534i
$764$	323.457	−	105.098i	0.423373	−	0.137562i
$765$	−7.89142	+	422.975i	−0.0103156	+	0.552909i
$766$	378.015	−	1163.41i	0.493493	−	1.51881i
$767$	54.8463	+	346.286i	0.0715076	+	0.451481i
$768$	391.015	−	391.015i	0.509134	−	0.509134i
$769$	−278.600	+	383.460i	−0.362289	+	0.498647i	−0.950785	−	0.309853i	$-0.899720\pi$
$769$	−278.600	+	383.460i	−0.362289	+	0.498647i	0.588496	+	0.808500i	$0.299720\pi$
$770$	−308.145	−	319.862i	−0.400189	−	0.415405i
$771$	247.162	−	179.573i	0.320573	−	0.232910i
$772$	−756.236	−	119.776i	−0.979580	−	0.155150i
$773$	−715.546	−	364.589i	−0.925674	−	0.471655i	−0.0749030	−	0.997191i	$-0.523865\pi$
$773$	−715.546	−	364.589i	−0.925674	−	0.471655i	−0.850771	+	0.525536i	$0.823865\pi$
$774$			90.2816i			0.116643i
$775$	254.640	+	93.3750i	0.328568	+	0.120484i
$776$	261.303			0.336730
$777$	83.8769	−	164.618i	0.107950	−	0.211863i
$778$	94.3087	−	595.442i	0.121219	−	0.765349i
$779$	686.440	+	944.803i	0.881181	+	1.21284i
$780$	−55.9338	−	29.8268i	−0.0717100	−	0.0382394i
$781$	335.538	+	243.783i	0.429626	+	0.312142i
$782$	−973.216	−	973.216i	−1.24452	−	1.24452i
$783$	178.026	−	28.1965i	0.227364	−	0.0360108i
$784$	−564.526	−	183.426i	−0.720059	−	0.233961i
$785$	−349.082	−	263.710i	−0.444690	−	0.335936i
$786$	−218.861	−	673.585i	−0.278449	−	0.856978i
$787$	−436.463	+	222.389i	−0.554591	+	0.282578i	−0.708740	−	0.705469i	$-0.750736\pi$
$787$	−436.463	+	222.389i	−0.554591	+	0.282578i	0.154150	+	0.988048i	$0.450736\pi$
$788$	216.510	+	424.925i	0.274759	+	0.539246i
$789$	147.714	−	47.9951i	0.187217	−	0.0608303i
$790$	441.662	−	134.450i	0.559066	−	0.170189i
$791$	−191.585	+	589.638i	−0.242206	+	0.745434i
$792$	−16.9091	−	106.760i	−0.0213498	−	0.134798i
$793$	35.7451	−	35.7451i	0.0450758	−	0.0450758i
$794$	530.494	−	730.162i	0.668128	−	0.919600i
$795$	−778.473	−	138.230i	−0.979212	−	0.173875i
$796$	470.270	−	341.671i	0.590791	−	0.429235i
$797$	−1507.22	−	238.720i	−1.89111	−	0.299523i	−0.900355	−	0.435156i	$-0.856693\pi$
$797$	−1507.22	−	238.720i	−1.89111	−	0.299523i	−0.990759	+	0.135633i	$0.956693\pi$
$798$	437.540	+	222.938i	0.548296	+	0.279371i
$799$		−	1136.80i		−	1.42278i
$800$	698.914	+	389.613i	0.873642	+	0.487016i
$801$	−342.617			−0.427736
$802$	46.6736	−	91.6020i	0.0581964	−	0.114217i
$803$	144.839	−	914.476i	0.180372	−	1.13882i
$804$	60.4997	+	83.2707i	0.0752484	+	0.103571i
$805$	−187.697	−	386.012i	−0.233164	−	0.479518i
$806$	−72.1602	−	52.4274i	−0.0895288	−	0.0650465i
$807$	61.0840	+	61.0840i	0.0756927	+	0.0756927i
$808$	−333.620	+	52.8402i	−0.412896	+	0.0653963i
$809$	−687.263	−	223.305i	−0.849522	−	0.276026i	−0.148276	−	0.988946i	$-0.547372\pi$
$809$	−687.263	−	223.305i	−0.849522	−	0.276026i	−0.701246	+	0.712920i	$0.747372\pi$
$810$	92.0137	−	64.2641i	0.113597	−	0.0793384i
$811$	268.108	+	825.153i	0.330590	+	1.01745i	0.968854	+	0.247634i	$0.0796529\pi$
$811$	268.108	+	825.153i	0.330590	+	1.01745i	−0.638264	+	0.769818i	$0.720347\pi$
$812$	301.095	−	153.415i	0.370806	−	0.188935i
$813$	−171.327	−	336.248i	−0.210734	−	0.413589i
$814$	−468.158	+	152.114i	−0.575133	+	0.186872i
$815$	843.046	+	1207.08i	1.03441	+	1.48108i
$816$	−301.173	+	926.914i	−0.369084	+	1.13592i
$817$	−48.9062	−	308.781i	−0.0598607	−	0.377945i
$818$	20.5871	−	20.5871i	0.0251676	−	0.0251676i
$819$	25.5029	−	35.1017i	0.0311390	−	0.0428592i
$820$	450.032	−	218.826i	0.548819	−	0.266861i
$821$	−114.066	+	82.8741i	−0.138936	+	0.100943i	−0.655082	−	0.755558i	$-0.727366\pi$
$821$	−114.066	+	82.8741i	−0.138936	+	0.100943i	0.516146	+	0.856500i	$0.327366\pi$
$822$	−544.334	−	86.2140i	−0.662207	−	0.104883i
$823$	−794.555	−	404.846i	−0.965437	−	0.491915i	−0.101127	−	0.994874i	$-0.532245\pi$
$823$	−794.555	−	404.846i	−0.965437	−	0.491915i	−0.864311	+	0.502959i	$0.832245\pi$
$824$		−	14.2387i		−	0.0172800i
$825$	318.937	−	147.791i	0.386590	−	0.179140i
$826$	−1163.81			−1.40897
$827$	131.943	−	258.953i	0.159545	−	0.313124i	−0.797371	−	0.603489i	$-0.793777\pi$
$827$	131.943	−	258.953i	0.159545	−	0.313124i	0.956916	+	0.290365i	$0.0937768\pi$
$828$	−20.3895	+	128.735i	−0.0246251	+	0.155476i
$829$	320.933	+	441.726i	0.387133	+	0.532842i	0.957457	−	0.288578i	$-0.0931823\pi$
$829$	320.933	+	441.726i	0.387133	+	0.532842i	−0.570324	+	0.821420i	$0.693182\pi$
$830$	−225.781	+	1271.53i	−0.272025	+	1.53197i
$831$	−49.8391	−	36.2102i	−0.0599748	−	0.0435742i
$832$	−0.0520972	−	0.0520972i	−6.26168e−5	−	6.26168e-5i
$833$	828.750	−	131.261i	0.994898	−	0.157576i
$834$	76.2556	+	24.7770i	0.0914336	+	0.0297086i
$835$	−41.2747	−	135.586i	−0.0494308	−	0.162378i
$836$	−144.321	−	444.173i	−0.172632	−	0.531308i
$837$	50.2279	−	25.5924i	0.0600095	−	0.0305763i
$838$	331.811	+	651.215i	0.395956	+	0.777107i
$839$	−400.077	+	129.993i	−0.476849	+	0.154938i	−0.537574	−	0.843217i	$-0.680659\pi$
$839$	−400.077	+	129.993i	−0.476849	+	0.154938i	0.0607243	+	0.998155i	$0.480659\pi$
$840$	−101.651	+	134.558i	−0.121013	+	0.160188i
$841$	−111.946	+	344.535i	−0.133111	+	0.409673i
$842$	−87.0668	−	549.718i	−0.103405	−	0.652872i
$843$	−455.348	+	455.348i	−0.540152	+	0.540152i
$844$	−21.3737	+	29.4184i	−0.0253243	+	0.0348559i
$845$	−372.034	+	697.671i	−0.440277	+	0.825646i
$846$	−243.992	+	177.270i	−0.288406	+	0.209540i
$847$	238.766	+	37.8169i	0.281897	+	0.0446480i
$848$	−1622.96	−	826.941i	−1.91387	−	0.975166i
$849$			432.975i			0.509983i
$850$	−1757.31	−	65.5948i	−2.06742	−	0.0771703i
$851$	−475.716			−0.559008
$852$	−89.2048	+	175.074i	−0.104700	+	0.205486i
$853$	−33.2422	+	209.883i	−0.0389709	+	0.246053i	−0.999482	−	0.0321898i	$-0.989752\pi$
$853$	−33.2422	+	209.883i	−0.0389709	+	0.246053i	0.960511	+	0.278242i	$0.0897519\pi$
$854$	98.6316	+	135.755i	0.115494	+	0.158963i
$855$	−279.893	+	269.641i	−0.327361	+	0.315369i
$856$	477.047	+	346.595i	0.557298	+	0.404900i
$857$	−549.525	−	549.525i	−0.641220	−	0.641220i	0.309636	−	0.950855i	$-0.399793\pi$
$857$	−549.525	−	549.525i	−0.641220	−	0.641220i	−0.950855	+	0.309636i	$0.899793\pi$
$858$	−114.178	+	18.0840i	−0.133074	+	0.0210769i
$859$	1586.71	+	515.554i	1.84716	+	0.600179i	0.997322	+	0.0731359i	$0.0233007\pi$
$859$	1586.71	+	515.554i	1.84716	+	0.600179i	0.849839	+	0.527043i	$0.176699\pi$
$860$	−133.937	−	2.49886i	−0.155741	−	0.00290565i
$861$	105.844	+	325.753i	0.122931	+	0.378343i
$862$	692.157	−	352.671i	0.802966	−	0.409132i
$863$	−31.5416	−	61.9038i	−0.0365488	−	0.0717310i	0.872010	−	0.489488i	$-0.162816\pi$
$863$	−31.5416	−	61.9038i	−0.0365488	−	0.0717310i	−0.908559	+	0.417757i	$0.862816\pi$
$864$	158.173	−	51.3936i	0.183071	−	0.0594833i
$865$	−221.717	−	76.6414i	−0.256320	−	0.0886027i
$866$	−300.388	+	924.499i	−0.346868	+	1.06755i
$867$	−137.217	−	866.352i	−0.158266	−	0.999253i
$868$	74.7323	−	74.7323i	0.0860972	−	0.0860972i
$869$	176.651	−	243.139i	0.203281	−	0.279792i
$870$	103.383	+	742.075i	0.118831	+	0.852960i
$871$	−71.3739	+	51.8562i	−0.0819448	+	0.0595364i
$872$	937.202	+	148.438i	1.07477	+	0.170227i
$873$	157.370	+	80.1842i	0.180264	+	0.0918490i
$874$		−	1264.41i		−	1.44670i
$875$	−511.281	−	198.380i	−0.584321	−	0.226720i
$876$	438.641			0.500732
$877$	154.577	−	303.375i	0.176257	−	0.345923i	−0.785929	−	0.618316i	$-0.787815\pi$
$877$	154.577	−	303.375i	0.176257	−	0.345923i	0.962186	+	0.272393i	$0.0878151\pi$
$878$	−265.840	+	1678.45i	−0.302779	+	1.91167i
$879$	−41.0188	−	56.4575i	−0.0466653	−	0.0642292i
$880$	802.070	−	111.741i	0.911443	−	0.126978i
$881$	−130.707	−	94.9645i	−0.148362	−	0.107792i	0.511128	−	0.859505i	$-0.329228\pi$
$881$	−130.707	−	94.9645i	−0.148362	−	0.107792i	−0.659490	+	0.751713i	$0.729228\pi$
$882$	−157.406	−	157.406i	−0.178465	−	0.178465i
$883$	81.8594	−	12.9653i	0.0927060	−	0.0146832i	−0.109909	−	0.993942i	$-0.535056\pi$
$883$	81.8594	−	12.9653i	0.0927060	−	0.0146832i	0.202615	+	0.979258i	$0.435056\pi$
$884$	196.332	+	63.7922i	0.222095	+	0.0721632i
$885$	300.921	−	870.539i	0.340024	−	0.983660i
$886$	119.782	+	368.650i	0.135194	+	0.416083i
$887$	−650.234	+	331.311i	−0.733071	+	0.373518i	−0.780333	−	0.625364i	$-0.784950\pi$
$887$	−650.234	+	331.311i	−0.733071	+	0.373518i	0.0472620	+	0.998883i	$0.484950\pi$
$888$	84.8523	+	166.532i	0.0955543	+	0.187536i
$889$	−778.348	+	252.901i	−0.875532	+	0.284478i
$890$	26.5664	−	1423.94i	0.0298499	−	1.59993i
$891$	22.5771	−	69.4851i	0.0253390	−	0.0779855i
$892$	15.0600	+	95.0851i	0.0168834	+	0.106598i
$893$	738.474	−	738.474i	0.826958	−	0.826958i
$894$	26.8248	−	36.9212i	0.0300054	−	0.0412989i
$895$	383.651	+	398.239i	0.428660	+	0.444959i
$896$	−454.229	+	330.017i	−0.506952	+	0.368322i
$897$	−110.342	−	17.4765i	−0.123013	−	0.0194833i
$898$	783.470	+	399.198i	0.872461	+	0.444541i
$899$			376.325i			0.418604i
$900$	92.7921	+	138.286i	0.103102	+	0.153651i
$901$	2574.86			2.85778
$902$	414.305	−	813.119i	0.459318	−	0.901462i
$903$	14.3437	−	90.5628i	0.0158845	−	0.100291i
$904$	−368.654	−	507.409i	−0.407803	−	0.561293i
$905$	−830.089	−	442.646i	−0.917225	−	0.489112i
$906$	−418.713	−	304.212i	−0.462155	−	0.335775i
$907$	−592.187	−	592.187i	−0.652907	−	0.652907i	0.300785	−	0.953692i	$-0.402751\pi$
$907$	−592.187	−	592.187i	−0.652907	−	0.652907i	−0.953692	+	0.300785i	$0.902751\pi$
$908$	−357.621	+	56.6416i	−0.393856	+	0.0623806i
$909$	−217.138	−	70.5525i	−0.238876	−	0.0776155i
$910$	143.908	+	108.714i	0.158141	+	0.119466i
$911$	470.455	+	1447.91i	0.516416	+	1.58936i	0.780691	+	0.624917i	$0.214867\pi$
$911$	470.455	+	1447.91i	0.516416	+	1.58936i	−0.264276	+	0.964447i	$0.585133\pi$
$912$	−797.773	+	406.485i	−0.874751	+	0.445708i
$913$	381.660	+	749.050i	0.418029	+	0.820428i
$914$	1522.90	−	494.819i	1.66619	−	0.541377i
$915$	−127.049	+	38.6759i	−0.138851	+	0.0422688i
$916$	−6.45372	+	19.8625i	−0.00704555	+	0.0216840i
$917$	112.525	+	710.455i	0.122710	+	0.774761i
$918$	−258.450	+	258.450i	−0.281536	+	0.281536i
$919$	−808.788	+	1113.20i	−0.880074	+	1.21132i	0.0963268	+	0.995350i	$0.469291\pi$
$919$	−808.788	+	1113.20i	−0.880074	+	1.21132i	−0.976400	+	0.215968i	$0.930709\pi$
$920$	427.530	+	75.9149i	0.464707	+	0.0825162i
$921$	−784.099	+	569.682i	−0.851357	+	0.618547i
$922$	−162.516	−	25.7400i	−0.176265	−	0.0279176i
$923$	−150.062	−	76.4602i	−0.162580	−	0.0828388i
$924$		−	136.976i		−	0.148243i
$925$	−445.524	+	413.461i	−0.481648	+	0.446985i
$926$	1025.30			1.10724
$927$	4.36933	−	8.57529i	0.00471341	−	0.00925058i
$928$	−173.683	+	1096.59i	−0.187159	+	1.18167i
$929$	−18.7994	−	25.8751i	−0.0202361	−	0.0278526i	0.798779	−	0.601624i	$-0.205480\pi$
$929$	−18.7994	−	25.8751i	−0.0202361	−	0.0278526i	−0.819015	+	0.573772i	$0.805480\pi$
$930$	102.469	+	210.736i	0.110182	+	0.226597i
$931$	623.629	+	453.093i	0.669848	+	0.486673i
$932$	−42.1920	−	42.1920i	−0.0452704	−	0.0452704i
$933$	825.172	−	130.694i	0.884429	−	0.140080i
$934$	535.394	+	173.960i	0.573227	+	0.186253i
$935$	−938.516	+	655.477i	−1.00376	+	0.701045i
$936$	13.5636	+	41.7443i	0.0144910	+	0.0445987i
$937$	−206.965	+	105.454i	−0.220880	+	0.112544i	−0.560930	−	0.827863i	$-0.689556\pi$
$937$	−206.965	+	105.454i	−0.220880	+	0.112544i	0.340049	+	0.940408i	$0.389556\pi$
$938$	−132.952	−	260.933i	−0.141740	−	0.278180i
$939$	−361.374	+	117.418i	−0.384850	+	0.125045i
$940$	−256.236	−	366.880i	−0.272592	−	0.390298i
$941$	503.761	−	1550.42i	0.535347	−	1.64763i	−0.207552	−	0.978224i	$-0.566550\pi$
$941$	503.761	−	1550.42i	0.535347	−	1.64763i	0.742899	−	0.669404i	$-0.233450\pi$
$942$	−59.1297	−	373.330i	−0.0627704	−	0.396317i
$943$	623.619	−	623.619i	0.661314	−	0.661314i
$944$	1247.27	−	1716.72i	1.32126	−	1.81856i
$945$	−102.510	+	49.8453i	−0.108477	+	0.0527464i
$946$	−197.642	+	143.595i	−0.208923	+	0.151792i
$947$	178.761	+	28.3129i	0.188765	+	0.0298975i	0.250101	−	0.968220i	$-0.419536\pi$
$947$	178.761	+	28.3129i	0.188765	+	0.0298975i	−0.0613359	+	0.998117i	$0.519536\pi$
$948$	126.863	+	64.6399i	0.133822	+	0.0681855i
$949$			375.973i			0.396178i
$950$	−1098.95	−	1184.17i	−1.15678	−	1.24649i
$951$	−456.291			−0.479802
$952$	249.328	−	489.334i	0.261899	−	0.514006i
$953$	33.8363	−	213.634i	0.0355050	−	0.224170i	−0.963555	−	0.267509i	$-0.913800\pi$
$953$	33.8363	−	213.634i	0.0355050	−	0.224170i	0.999060	+	0.0433390i	$0.0137996\pi$
$954$	−401.518	−	552.642i	−0.420878	−	0.579289i
$955$	133.894	−	754.051i	0.140203	−	0.789582i
$956$	614.067	+	446.146i	0.642329	+	0.466680i
$957$	344.881	+	344.881i	0.360377	+	0.360377i
$958$	−451.425	+	71.4988i	−0.471216	+	0.0746334i
$959$	532.332	+	172.965i	0.555091	+	0.180360i
$960$	0.0563686	+	0.185169i	5.87173e−5	+	0.000192884i
$961$	−260.595	−	802.029i	−0.271171	−	0.834578i
$962$	178.103	−	90.7481i	0.185138	−	0.0943327i
$963$	180.946	+	355.126i	0.187898	+	0.368770i
$964$	189.242	−	61.4883i	0.196309	−	0.0637846i
$965$	−1039.26	+	1375.70i	−1.07695	+	1.42559i
$966$	114.596	−	352.691i	0.118630	−	0.365104i
$967$	−229.353	−	1448.08i	−0.237180	−	1.49749i	−0.762723	−	0.646726i	$-0.776138\pi$
$967$	−229.353	−	1448.08i	−0.237180	−	1.49749i	0.525543	−	0.850767i	$-0.323862\pi$
$968$	−172.926	+	172.926i	−0.178642	+	0.178642i
$969$	743.948	−	1023.96i	0.767748	−	1.05671i
$970$	−345.454	+	647.826i	−0.356138	+	0.667862i
$971$	1546.53	−	1123.62i	1.59272	−	1.15718i	0.692795	−	0.721135i	$-0.256379\pi$
$971$	1546.53	−	1123.62i	1.59272	−	1.15718i	0.899925	−	0.436044i	$-0.143621\pi$
$972$	34.1871	+	5.41471i	0.0351719	+	0.00557068i
$973$	−72.5567	−	36.9695i	−0.0745700	−	0.0379953i
$974$			1089.07i			1.11814i
$975$	−118.529	+	79.5350i	−0.121568	+	0.0815743i
$976$	−305.956			−0.313479
$977$	46.2797	−	90.8290i	0.0473692	−	0.0929673i	−0.866109	−	0.499856i	$-0.833386\pi$
$977$	46.2797	−	90.8290i	0.0473692	−	0.0929673i	0.913478	+	0.406889i	$0.133386\pi$
$978$	−198.994	+	1256.40i	−0.203470	+	1.28466i
$979$	−544.940	−	750.046i	−0.556629	−	0.766134i
$980$	237.876	−	229.163i	0.242731	−	0.233839i
$981$	518.883	+	376.990i	0.528932	+	0.384292i
$982$	−334.341	−	334.341i	−0.340469	−	0.340469i
$983$	−195.928	+	31.0320i	−0.199317	+	0.0315687i	−0.255295	−	0.966863i	$-0.582172\pi$
$983$	−195.928	+	31.0320i	−0.199317	+	0.0315687i	0.0559777	+	0.998432i	$0.482172\pi$
$984$	−329.541	−	107.074i	−0.334900	−	0.108815i
$985$	1073.71	+	20.0322i	1.09006	+	0.0203372i
$986$	−754.003	−	2320.58i	−0.764709	−	2.35353i
$987$	272.916	−	139.058i	0.276511	−	0.140889i
$988$	86.0988	+	168.978i	0.0871446	+	0.171031i
$989$	−224.537	+	72.9565i	−0.227034	+	0.0737680i
$990$	287.035	+	99.2200i	0.289934	+	0.100222i
$991$	−126.479	+	389.263i	−0.127628	+	0.392798i	−0.994371	−	0.105957i	$-0.966209\pi$
$991$	−126.479	+	389.263i	−0.127628	+	0.392798i	0.866743	+	0.498755i	$0.166209\pi$
$992$	54.3199	+	342.963i	0.0547580	+	0.345728i
$993$	−64.7056	+	64.7056i	−0.0651617	+	0.0651617i
$994$	328.604	−	452.285i	0.330588	−	0.455015i
$995$	−180.612	−	1296.42i	−0.181520	−	1.30294i
$996$	−322.214	+	234.102i	−0.323508	+	0.235043i
$997$	928.943	+	147.130i	0.931738	+	0.147573i	0.603808	−	0.797129i	$-0.293649\pi$
$997$	928.943	+	147.130i	0.931738	+	0.147573i	0.327929	+	0.944702i	$0.393649\pi$
$998$	724.714	+	369.260i	0.726166	+	0.370000i
$999$			126.332i			0.126459i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	75.3.k.a.67.2	yes	80
3.2	odd	2		225.3.r.b.217.9		80
5.2	odd	4		375.3.k.b.268.2		80
5.3	odd	4		375.3.k.c.268.9		80
5.4	even	2		375.3.k.a.232.9		80
25.3	odd	20	inner	75.3.k.a.28.2	✓	80
25.4	even	10		375.3.k.b.7.2		80
25.21	even	5		375.3.k.c.7.9		80
25.22	odd	20		375.3.k.a.118.9		80
75.53	even	20		225.3.r.b.28.9		80

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
75.3.k.a.28.2	✓	80	25.3	odd	20	inner
75.3.k.a.67.2	yes	80	1.1	even	1	trivial
225.3.r.b.28.9		80	75.53	even	20
225.3.r.b.217.9		80	3.2	odd	2
375.3.k.a.118.9		80	25.22	odd	20
375.3.k.a.232.9		80	5.4	even	2
375.3.k.b.7.2		80	25.4	even	10
375.3.k.b.268.2		80	5.2	odd	4
375.3.k.c.7.9		80	25.21	even	5
375.3.k.c.268.9		80	5.3	odd	4

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:	\( N \)	\(=\)	\( 75 = 3 \cdot 5^{2} \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	75.k (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.13229 + 2.22224i) q^{2} +(-0.270952 + 1.71073i) q^{3} +(-1.30514 - 1.79637i) q^{4} +(-4.95217 + 0.689916i) q^{5} +(-3.49485 - 2.53916i) q^{6} +(3.10232 + 3.10232i) q^{7} +(-4.38372 + 0.694313i) q^{8} +(-2.85317 - 0.927051i) q^{9} +O(q^{10})\)	\(q+(-1.13229 + 2.22224i) q^{2} +(-0.270952 + 1.71073i) q^{3} +(-1.30514 - 1.79637i) q^{4} +(-4.95217 + 0.689916i) q^{5} +(-3.49485 - 2.53916i) q^{6} +(3.10232 + 3.10232i) q^{7} +(-4.38372 + 0.694313i) q^{8} +(-2.85317 - 0.927051i) q^{9} +(4.07413 - 11.7861i) q^{10} +(-2.50856 - 7.72057i) q^{11} +(3.42674 - 1.74601i) q^{12} +(1.49656 + 2.93716i) q^{13} +(-10.4068 + 3.38139i) q^{14} +(0.161546 - 8.65875i) q^{15} +(6.16532 - 18.9749i) q^{16} +(4.41196 + 27.8560i) q^{17} +(5.29075 - 5.29075i) q^{18} +(-15.2294 + 20.9615i) q^{19} +(7.70264 + 7.99552i) q^{20} +(-6.14781 + 4.46664i) q^{21} +(19.9974 + 3.16728i) q^{22} +(17.4339 + 8.88304i) q^{23} -7.68747i q^{24} +(24.0480 - 6.83317i) q^{25} -8.22163 q^{26} +(2.35900 - 4.62981i) q^{27} +(1.52396 - 9.62191i) q^{28} +(20.3892 + 28.0633i) q^{29} +(19.0589 + 10.1632i) q^{30} +(8.77688 + 6.37677i) q^{31} +(22.6323 + 22.6323i) q^{32} +(13.8875 - 2.19956i) q^{33} +(-66.8985 - 21.7366i) q^{34} +(-17.5036 - 13.2229i) q^{35} +(2.05846 + 6.33529i) q^{36} +(-21.6628 + 11.0377i) q^{37} +(-29.3374 - 57.5779i) q^{38} +(-5.43018 + 1.76437i) q^{39} +(21.2299 - 6.46276i) q^{40} +(13.9284 - 42.8673i) q^{41} +(-2.96487 - 18.7195i) q^{42} +(-8.53203 + 8.53203i) q^{43} +(-10.5950 + 14.5828i) q^{44} +(14.7690 + 2.62247i) q^{45} +(-39.4805 + 28.6843i) q^{46} +(-39.8112 - 6.30548i) q^{47} +(30.7904 + 15.6885i) q^{48} -29.7512i q^{49} +(-12.0444 + 61.1777i) q^{50} -48.8495 q^{51} +(3.32302 - 6.52180i) q^{52} +(14.2819 - 90.1725i) q^{53} +(7.61748 + 10.4846i) q^{54} +(17.7494 + 36.5029i) q^{55} +(-15.7537 - 11.4457i) q^{56} +(-31.7329 - 31.7329i) q^{57} +(-85.4499 + 13.5339i) q^{58} +(101.152 + 32.8662i) q^{59} +(-15.7652 + 11.0107i) q^{60} +(-4.73879 - 14.5845i) q^{61} +(-24.1087 + 12.2840i) q^{62} +(-5.97544 - 11.7275i) q^{63} +(-0.0212563 + 0.00690660i) q^{64} +(-9.43761 - 13.5128i) q^{65} +(-10.8367 + 33.3519i) q^{66} +(4.18666 + 26.4335i) q^{67} +(44.2816 - 44.2816i) q^{68} +(-19.9202 + 27.4178i) q^{69} +(49.2036 - 23.9251i) q^{70} +(-41.3332 + 30.0303i) q^{71} +(13.1512 + 2.08294i) q^{72} +(101.623 + 51.7793i) q^{73} -60.6378i q^{74} +(5.17381 + 42.9911i) q^{75} +57.5312 q^{76} +(16.1693 - 31.7341i) q^{77} +(2.22767 - 14.0650i) q^{78} +(21.7607 + 29.9510i) q^{79} +(-17.4406 + 98.2206i) q^{80} +(7.28115 + 5.29007i) q^{81} +(79.4905 + 79.4905i) q^{82} +(-102.284 + 16.2002i) q^{83} +(16.0475 + 5.21416i) q^{84} +(-41.0671 - 134.904i) q^{85} +(-9.29951 - 28.6210i) q^{86} +(-53.5331 + 27.2765i) q^{87} +(16.3573 + 32.1031i) q^{88} +(108.616 - 35.2914i) q^{89} +(-22.5505 + 29.8509i) q^{90} +(-4.46922 + 13.7548i) q^{91} +(-6.79652 - 42.9115i) q^{92} +(-13.2870 + 13.2870i) q^{93} +(59.0902 - 81.3306i) q^{94} +(60.9570 - 114.312i) q^{95} +(-44.8500 + 32.5855i) q^{96} +(-58.1488 - 9.20986i) q^{97} +(66.1143 + 33.6869i) q^{98} +24.3537i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 80 q + 4 q^{2} + 4 q^{5} - 4 q^{7} - 12 q^{8}+O(q^{10}) \) 80 * q + 4 * q^2 + 4 * q^5 - 4 * q^7 - 12 * q^8	\( 80 q + 4 q^{2} + 4 q^{5} - 4 q^{7} - 12 q^{8} - 4 q^{10} - 24 q^{12} + 32 q^{13} - 24 q^{15} + 80 q^{16} - 100 q^{17} - 48 q^{18} - 100 q^{19} - 244 q^{20} - 100 q^{22} - 96 q^{23} - 16 q^{25} - 40 q^{26} + 196 q^{28} + 200 q^{29} + 264 q^{30} + 636 q^{32} + 216 q^{33} + 100 q^{34} + 260 q^{35} - 120 q^{36} - 184 q^{37} - 564 q^{38} - 948 q^{40} + 160 q^{41} - 12 q^{42} - 472 q^{43} - 700 q^{44} - 36 q^{45} - 288 q^{47} - 48 q^{48} + 16 q^{50} + 620 q^{52} + 304 q^{53} + 604 q^{55} + 72 q^{57} + 1272 q^{58} + 800 q^{59} + 84 q^{60} - 240 q^{61} + 1212 q^{62} - 12 q^{63} + 100 q^{64} + 272 q^{65} - 80 q^{67} + 104 q^{68} - 260 q^{70} + 36 q^{72} - 116 q^{73} - 24 q^{75} - 88 q^{77} - 120 q^{78} + 200 q^{79} - 164 q^{80} + 180 q^{81} - 168 q^{82} - 1264 q^{83} - 1200 q^{84} - 212 q^{85} - 876 q^{87} - 212 q^{88} - 1500 q^{89} - 444 q^{90} - 1504 q^{92} - 648 q^{93} - 200 q^{94} - 784 q^{95} + 60 q^{96} - 260 q^{97} - 92 q^{98}+O(q^{100}) \) 80 * q + 4 * q^2 + 4 * q^5 - 4 * q^7 - 12 * q^8 - 4 * q^10 - 24 * q^12 + 32 * q^13 - 24 * q^15 + 80 * q^16 - 100 * q^17 - 48 * q^18 - 100 * q^19 - 244 * q^20 - 100 * q^22 - 96 * q^23 - 16 * q^25 - 40 * q^26 + 196 * q^28 + 200 * q^29 + 264 * q^30 + 636 * q^32 + 216 * q^33 + 100 * q^34 + 260 * q^35 - 120 * q^36 - 184 * q^37 - 564 * q^38 - 948 * q^40 + 160 * q^41 - 12 * q^42 - 472 * q^43 - 700 * q^44 - 36 * q^45 - 288 * q^47 - 48 * q^48 + 16 * q^50 + 620 * q^52 + 304 * q^53 + 604 * q^55 + 72 * q^57 + 1272 * q^58 + 800 * q^59 + 84 * q^60 - 240 * q^61 + 1212 * q^62 - 12 * q^63 + 100 * q^64 + 272 * q^65 - 80 * q^67 + 104 * q^68 - 260 * q^70 + 36 * q^72 - 116 * q^73 - 24 * q^75 - 88 * q^77 - 120 * q^78 + 200 * q^79 - 164 * q^80 + 180 * q^81 - 168 * q^82 - 1264 * q^83 - 1200 * q^84 - 212 * q^85 - 876 * q^87 - 212 * q^88 - 1500 * q^89 - 444 * q^90 - 1504 * q^92 - 648 * q^93 - 200 * q^94 - 784 * q^95 + 60 * q^96 - 260 * q^97 - 92 * q^98

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