LMFDB - Embedded newform 150.2.h.b.139.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [150,2,Mod(19,150)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(150, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([0, 9]))

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

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

chi := DirichletCharacter("150.19");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 150 = 2 \cdot 3 \cdot 5^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	150.h (of order $10$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$1.19775603032$
Analytic rank:	$0$
Dimension:	$16$
Relative dimension:	$4$ over $\Q(\zeta_{10})$
Coefficient field:	$\mathbb{Q}[x]/(x^{16} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{16} - 4 x^{15} - 24 x^{14} + 94 x^{13} + 262 x^{12} - 936 x^{11} - 1584 x^{10} + 4642 x^{9} + \cdots + 11105 $ x^16 - 4x^15 - 24x^14 + 94x^13 + 262x^12 - 936x^11 - 1584x^10 + 4642x^9 + 6259x^8 - 11958x^7 - 15752x^6 + 14670x^5 + 18271x^4 - 10440x^3 + 1135x^2 + 21080*x + 11105
Coefficient ring:	$\Z[a_1, \ldots, a_{5}]$
Coefficient ring index:	$ 5 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			139.4
Root			$-1.16141 - 0.809017i$ of defining polynomial
Character	$\chi$	$=$	150.139
Dual form			150.2.h.b.109.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.587785 + 0.809017i) q^{2} +(0.951057 + 0.309017i) q^{3} +(-0.309017 + 0.951057i) q^{4} +(1.86682 - 1.23085i) q^{5} +(0.309017 + 0.951057i) q^{6} -2.70913i q^{7} +(-0.951057 + 0.309017i) q^{8} +(0.809017 + 0.587785i) q^{9} +O(q^{10})$	\(q+(0.587785 + 0.809017i) q^{2} +(0.951057 + 0.309017i) q^{3} +(-0.309017 + 0.951057i) q^{4} +(1.86682 - 1.23085i) q^{5} +(0.309017 + 0.951057i) q^{6} -2.70913i q^{7} +(-0.951057 + 0.309017i) q^{8} +(0.809017 + 0.587785i) q^{9} +(2.09307 + 0.786811i) q^{10} +(-4.54704 + 3.30361i) q^{11} +(-0.587785 + 0.809017i) q^{12} +(-2.84536 + 3.91630i) q^{13} +(2.19173 - 1.59239i) q^{14} +(2.15580 - 0.593730i) q^{15} +(-0.809017 - 0.587785i) q^{16} +(0.994499 - 0.323132i) q^{17} +1.00000i q^{18} +(-2.59109 - 7.97455i) q^{19} +(0.593730 + 2.15580i) q^{20} +(0.837167 - 2.57654i) q^{21} +(-5.34536 - 1.73681i) q^{22} +(3.11219 + 4.28357i) q^{23} -1.00000 q^{24} +(1.97002 - 4.59555i) q^{25} -4.84082 q^{26} +(0.587785 + 0.809017i) q^{27} +(2.57654 + 0.837167i) q^{28} +(-1.29490 + 3.98530i) q^{29} +(1.74749 + 1.39510i) q^{30} +(-1.72444 - 5.30729i) q^{31} -1.00000i q^{32} +(-5.34536 + 1.73681i) q^{33} +(0.845972 + 0.614634i) q^{34} +(-3.33453 - 5.05745i) q^{35} +(-0.809017 + 0.587785i) q^{36} +(1.75853 - 2.42041i) q^{37} +(4.92854 - 6.78356i) q^{38} +(-3.91630 + 2.84536i) q^{39} +(-1.39510 + 1.74749i) q^{40} +(1.27617 + 0.927190i) q^{41} +(2.57654 - 0.837167i) q^{42} +3.29669i q^{43} +(-1.73681 - 5.34536i) q^{44} +(2.23376 + 0.101509i) q^{45} +(-1.63618 + 5.03563i) q^{46} +(2.92330 + 0.949838i) q^{47} +(-0.587785 - 0.809017i) q^{48} -0.339383 q^{49} +(4.87582 - 1.10742i) q^{50} +1.04568 q^{51} +(-2.84536 - 3.91630i) q^{52} +(5.87478 + 1.90883i) q^{53} +(-0.309017 + 0.951057i) q^{54} +(-4.42223 + 11.7640i) q^{55} +(0.837167 + 2.57654i) q^{56} -8.38494i q^{57} +(-3.98530 + 1.29490i) q^{58} +(-11.4780 - 8.33925i) q^{59} +(-0.101509 + 2.23376i) q^{60} +(-0.218911 + 0.159048i) q^{61} +(3.28009 - 4.51465i) q^{62} +(1.59239 - 2.19173i) q^{63} +(0.809017 - 0.587785i) q^{64} +(-0.491387 + 10.8132i) q^{65} +(-4.54704 - 3.30361i) q^{66} +(6.00099 - 1.94984i) q^{67} +1.04568i q^{68} +(1.63618 + 5.03563i) q^{69} +(2.13157 - 5.67039i) q^{70} +(-1.40070 + 4.31091i) q^{71} +(-0.951057 - 0.309017i) q^{72} +(4.79691 + 6.60237i) q^{73} +2.99179 q^{74} +(3.29370 - 3.76186i) q^{75} +8.38494 q^{76} +(8.94992 + 12.3185i) q^{77} +(-4.60389 - 1.49589i) q^{78} +(-3.85697 + 11.8705i) q^{79} +(-2.23376 - 0.101509i) q^{80} +(0.309017 + 0.951057i) q^{81} +1.57743i q^{82} +(0.127938 - 0.0415695i) q^{83} +(2.19173 + 1.59239i) q^{84} +(1.45882 - 1.82731i) q^{85} +(-2.66708 + 1.93775i) q^{86} +(-2.46305 + 3.39010i) q^{87} +(3.30361 - 4.54704i) q^{88} +(9.53844 - 6.93008i) q^{89} +(1.23085 + 1.86682i) q^{90} +(10.6098 + 7.70845i) q^{91} +(-5.03563 + 1.63618i) q^{92} -5.58042i q^{93} +(0.949838 + 2.92330i) q^{94} +(-14.6526 - 11.6978i) q^{95} +(0.309017 - 0.951057i) q^{96} +(2.51108 + 0.815900i) q^{97} +(-0.199485 - 0.274567i) q^{98} -5.62045 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 16 q + 4 q^{4} + 4 q^{5} - 4 q^{6} + 4 q^{9}+O(q^{10}) $ 16 * q + 4 * q^4 + 4 * q^5 - 4 * q^6 + 4 * q^9	$ 16 q + 4 q^{4} + 4 q^{5} - 4 q^{6} + 4 q^{9} + 2 q^{10} + 2 q^{11} + 20 q^{13} + 2 q^{14} - 2 q^{15} - 4 q^{16} - 30 q^{17} - 4 q^{20} - 2 q^{21} - 20 q^{22} - 10 q^{23} - 16 q^{24} + 24 q^{25} + 4 q^{26} - 10 q^{29} - 6 q^{30} - 18 q^{31} - 20 q^{33} + 12 q^{34} - 34 q^{35} - 4 q^{36} + 20 q^{37} + 10 q^{38} - 4 q^{39} - 2 q^{40} + 22 q^{41} + 8 q^{44} - 4 q^{45} - 6 q^{46} - 50 q^{47} - 52 q^{49} + 12 q^{50} + 28 q^{51} + 20 q^{52} + 30 q^{53} + 4 q^{54} + 18 q^{55} - 2 q^{56} - 30 q^{58} + 20 q^{59} + 2 q^{60} + 12 q^{61} + 50 q^{62} + 10 q^{63} + 4 q^{64} - 8 q^{65} + 2 q^{66} - 50 q^{67} + 6 q^{69} - 12 q^{70} - 28 q^{71} + 20 q^{73} + 12 q^{74} + 28 q^{75} + 20 q^{76} + 100 q^{77} - 20 q^{79} + 4 q^{80} - 4 q^{81} - 30 q^{83} + 2 q^{84} - 4 q^{85} - 6 q^{86} + 10 q^{87} + 70 q^{89} + 8 q^{90} + 12 q^{91} - 30 q^{92} + 2 q^{94} - 30 q^{95} - 4 q^{96} - 10 q^{97} + 60 q^{98} - 12 q^{99}+O(q^{100}) $ 16 * q + 4 * q^4 + 4 * q^5 - 4 * q^6 + 4 * q^9 + 2 * q^10 + 2 * q^11 + 20 * q^13 + 2 * q^14 - 2 * q^15 - 4 * q^16 - 30 * q^17 - 4 * q^20 - 2 * q^21 - 20 * q^22 - 10 * q^23 - 16 * q^24 + 24 * q^25 + 4 * q^26 - 10 * q^29 - 6 * q^30 - 18 * q^31 - 20 * q^33 + 12 * q^34 - 34 * q^35 - 4 * q^36 + 20 * q^37 + 10 * q^38 - 4 * q^39 - 2 * q^40 + 22 * q^41 + 8 * q^44 - 4 * q^45 - 6 * q^46 - 50 * q^47 - 52 * q^49 + 12 * q^50 + 28 * q^51 + 20 * q^52 + 30 * q^53 + 4 * q^54 + 18 * q^55 - 2 * q^56 - 30 * q^58 + 20 * q^59 + 2 * q^60 + 12 * q^61 + 50 * q^62 + 10 * q^63 + 4 * q^64 - 8 * q^65 + 2 * q^66 - 50 * q^67 + 6 * q^69 - 12 * q^70 - 28 * q^71 + 20 * q^73 + 12 * q^74 + 28 * q^75 + 20 * q^76 + 100 * q^77 - 20 * q^79 + 4 * q^80 - 4 * q^81 - 30 * q^83 + 2 * q^84 - 4 * q^85 - 6 * q^86 + 10 * q^87 + 70 * q^89 + 8 * q^90 + 12 * q^91 - 30 * q^92 + 2 * q^94 - 30 * q^95 - 4 * q^96 - 10 * q^97 + 60 * q^98 - 12 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/150\mathbb{Z}\right)^\times$.

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

Coefficient data

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

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

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

$2$	0.587785	+	0.809017i	0.415627	+	0.572061i
$2$	0.587785	+	0.809017i	0.415627	+	0.572061i
$3$	0.951057	+	0.309017i	0.549093	+	0.178411i
$3$	0.951057	+	0.309017i	0.549093	+	0.178411i
$4$	−0.309017	+	0.951057i	−0.154508	+	0.475528i
$5$	1.86682	−	1.23085i	0.834866	−	0.550453i
$5$	1.86682	−	1.23085i	0.834866	−	0.550453i
$6$	0.309017	+	0.951057i	0.126156	+	0.388267i
$7$		−	2.70913i		−	1.02395i	−0.858999	−	0.511977i	$-0.828913\pi$
$7$		−	2.70913i		−	1.02395i	0.858999	−	0.511977i	$-0.171087\pi$
$8$	−0.951057	+	0.309017i	−0.336249	+	0.109254i
$9$	0.809017	+	0.587785i	0.269672	+	0.195928i
$10$	2.09307	+	0.786811i	0.661886	+	0.248812i
$11$	−4.54704	+	3.30361i	−1.37098	+	0.996077i	−0.373323	+	0.927701i	$0.621782\pi$
$11$	−4.54704	+	3.30361i	−1.37098	+	0.996077i	−0.997660	+	0.0683760i	$0.978218\pi$
$12$	−0.587785	+	0.809017i	−0.169679	+	0.233543i
$13$	−2.84536	+	3.91630i	−0.789161	+	1.08619i	0.205051	+	0.978751i	$0.434264\pi$
$13$	−2.84536	+	3.91630i	−0.789161	+	1.08619i	−0.994212	+	0.107436i	$0.965736\pi$
$14$	2.19173	−	1.59239i	0.585765	−	0.425583i
$15$	2.15580	−	0.593730i	0.556626	−	0.153300i
$16$	−0.809017	−	0.587785i	−0.202254	−	0.146946i
$17$	0.994499	−	0.323132i	0.241202	−	0.0783711i	−0.185922	−	0.982565i	$-0.559527\pi$
$17$	0.994499	−	0.323132i	0.241202	−	0.0783711i	0.427123	+	0.904193i	$0.359527\pi$
$18$			1.00000i			0.235702i
$19$	−2.59109	−	7.97455i	−0.594437	−	1.82949i	−0.557510	−	0.830170i	$-0.688243\pi$
$19$	−2.59109	−	7.97455i	−0.594437	−	1.82949i	−0.0369263	−	0.999318i	$-0.511757\pi$
$20$	0.593730	+	2.15580i	0.132762	+	0.482052i
$21$	0.837167	−	2.57654i	0.182685	−	0.562246i
$22$	−5.34536	−	1.73681i	−1.13963	−	0.370290i
$23$	3.11219	+	4.28357i	0.648937	+	0.893185i	0.999053	−	0.0435212i	$-0.0138576\pi$
$23$	3.11219	+	4.28357i	0.648937	+	0.893185i	−0.350115	+	0.936707i	$0.613858\pi$
$24$	−1.00000			−0.204124
$25$	1.97002	−	4.59555i	0.394003	−	0.919109i
$26$	−4.84082			−0.949362
$27$	0.587785	+	0.809017i	0.113119	+	0.155695i
$28$	2.57654	+	0.837167i	0.486919	+	0.158210i
$29$	−1.29490	+	3.98530i	−0.240457	+	0.740051i	0.755893	+	0.654695i	$0.227203\pi$
$29$	−1.29490	+	3.98530i	−0.240457	+	0.740051i	−0.996350	+	0.0853563i	$0.972797\pi$
$30$	1.74749	+	1.39510i	0.319046	+	0.254708i
$31$	−1.72444	−	5.30729i	−0.309719	−	0.953218i	−0.977874	−	0.209195i	$-0.932916\pi$
$31$	−1.72444	−	5.30729i	−0.309719	−	0.953218i	0.668155	−	0.744022i	$-0.267084\pi$
$32$		−	1.00000i		−	0.176777i
$33$	−5.34536	+	1.73681i	−0.930508	+	0.302340i
$34$	0.845972	+	0.614634i	0.145083	+	0.105409i
$35$	−3.33453	−	5.05745i	−0.563639	−	0.854865i
$36$	−0.809017	+	0.587785i	−0.134836	+	0.0979642i
$37$	1.75853	−	2.42041i	0.289101	−	0.397913i	−0.639621	−	0.768690i	$-0.720909\pi$
$37$	1.75853	−	2.42041i	0.289101	−	0.397913i	0.928722	+	0.370778i	$0.120909\pi$
$38$	4.92854	−	6.78356i	0.799516	−	1.10044i
$39$	−3.91630	+	2.84536i	−0.627110	+	0.455622i
$40$	−1.39510	+	1.74749i	−0.220584	+	0.276302i
$41$	1.27617	+	0.927190i	0.199304	+	0.144803i	0.682961	−	0.730455i	$-0.260692\pi$
$41$	1.27617	+	0.927190i	0.199304	+	0.144803i	−0.483657	+	0.875258i	$0.660692\pi$
$42$	2.57654	−	0.837167i	0.397568	−	0.129178i
$43$			3.29669i			0.502741i	0.967891	+	0.251370i	$0.0808812\pi$
$43$			3.29669i			0.502741i	−0.967891	+	0.251370i	$0.919119\pi$
$44$	−1.73681	−	5.34536i	−0.261834	−	0.805843i
$45$	2.23376	+	0.101509i	0.332990	+	0.0151321i
$46$	−1.63618	+	5.03563i	−0.241241	+	0.742464i
$47$	2.92330	+	0.949838i	0.426407	+	0.138548i	0.514356	−	0.857577i	$-0.328031\pi$
$47$	2.92330	+	0.949838i	0.426407	+	0.138548i	−0.0879484	+	0.996125i	$0.528031\pi$
$48$	−0.587785	−	0.809017i	−0.0848395	−	0.116772i
$49$	−0.339383			−0.0484833
$50$	4.87582	−	1.10742i	0.689545	−	0.156613i
$51$	1.04568			0.146424
$52$	−2.84536	−	3.91630i	−0.394581	−	0.543094i
$53$	5.87478	+	1.90883i	0.806962	+	0.262198i	0.683311	−	0.730128i	$-0.260539\pi$
$53$	5.87478	+	1.90883i	0.806962	+	0.262198i	0.123652	+	0.992326i	$0.460539\pi$
$54$	−0.309017	+	0.951057i	−0.0420519	+	0.129422i
$55$	−4.42223	+	11.7640i	−0.596293	+	1.58625i
$56$	0.837167	+	2.57654i	0.111871	+	0.344304i
$57$		−	8.38494i		−	1.11061i
$58$	−3.98530	+	1.29490i	−0.523295	+	0.170029i
$59$	−11.4780	−	8.33925i	−1.49431	−	1.08568i	−0.972581	−	0.232565i	$-0.925288\pi$
$59$	−11.4780	−	8.33925i	−1.49431	−	1.08568i	−0.521726	−	0.853113i	$-0.674712\pi$
$60$	−0.101509	+	2.23376i	−0.0131048	+	0.288378i
$61$	−0.218911	+	0.159048i	−0.0280286	+	0.0203640i	−0.601711	−	0.798714i	$-0.705514\pi$
$61$	−0.218911	+	0.159048i	−0.0280286	+	0.0203640i	0.573683	+	0.819078i	$0.305514\pi$
$62$	3.28009	−	4.51465i	0.416571	−	0.573361i
$63$	1.59239	−	2.19173i	0.200622	−	0.276132i
$64$	0.809017	−	0.587785i	0.101127	−	0.0734732i
$65$	−0.491387	+	10.8132i	−0.0609490	+	1.34122i
$66$	−4.54704	−	3.30361i	−0.559701	−	0.406647i
$67$	6.00099	−	1.94984i	0.733137	−	0.238211i	0.0814275	−	0.996679i	$-0.474052\pi$
$67$	6.00099	−	1.94984i	0.733137	−	0.238211i	0.651710	+	0.758469i	$0.274052\pi$
$68$			1.04568i			0.126807i
$69$	1.63618	+	5.03563i	0.196973	+	0.606219i
$70$	2.13157	−	5.67039i	0.254772	−	0.677741i
$71$	−1.40070	+	4.31091i	−0.166233	+	0.511611i	−0.999125	−	0.0418237i	$-0.986683\pi$
$71$	−1.40070	+	4.31091i	−0.166233	+	0.511611i	0.832892	+	0.553435i	$0.186683\pi$
$72$	−0.951057	−	0.309017i	−0.112083	−	0.0364180i
$73$	4.79691	+	6.60237i	0.561435	+	0.772749i	0.991508	−	0.130045i	$-0.0415121\pi$
$73$	4.79691	+	6.60237i	0.561435	+	0.772749i	−0.430073	+	0.902794i	$0.641512\pi$
$74$	2.99179			0.347788
$75$	3.29370	−	3.76186i	0.380323	−	0.434382i
$76$	8.38494			0.961819
$77$	8.94992	+	12.3185i	1.01994	+	1.40382i
$78$	−4.60389	−	1.49589i	−0.521288	−	0.169377i
$79$	−3.85697	+	11.8705i	−0.433943	+	1.33554i	0.460223	+	0.887804i	$0.347770\pi$
$79$	−3.85697	+	11.8705i	−0.433943	+	1.33554i	−0.894166	+	0.447736i	$0.852230\pi$
$80$	−2.23376	−	0.101509i	−0.249742	−	0.0113491i
$81$	0.309017	+	0.951057i	0.0343352	+	0.105673i
$82$			1.57743i			0.174198i
$83$	0.127938	−	0.0415695i	0.0140430	−	0.00456285i	−0.301987	−	0.953312i	$-0.597650\pi$
$83$	0.127938	−	0.0415695i	0.0140430	−	0.00456285i	0.316030	+	0.948749i	$0.397650\pi$
$84$	2.19173	+	1.59239i	0.239138	+	0.173744i
$85$	1.45882	−	1.82731i	0.158231	−	0.198200i
$86$	−2.66708	+	1.93775i	−0.287599	+	0.208953i
$87$	−2.46305	+	3.39010i	−0.264067	+	0.363456i
$88$	3.30361	−	4.54704i	0.352167	−	0.484716i
$89$	9.53844	−	6.93008i	1.01107	−	0.734587i	0.0466385	−	0.998912i	$-0.485149\pi$
$89$	9.53844	−	6.93008i	1.01107	−	0.734587i	0.964434	+	0.264325i	$0.0851491\pi$
$90$	1.23085	+	1.86682i	0.129743	+	0.196780i
$91$	10.6098	+	7.70845i	1.11221	+	0.808065i
$92$	−5.03563	+	1.63618i	−0.525001	+	0.170583i
$93$		−	5.58042i		−	0.578662i
$94$	0.949838	+	2.92330i	0.0979683	+	0.301516i
$95$	−14.6526	−	11.6978i	−1.50332	−	1.20017i
$96$	0.309017	−	0.951057i	0.0315389	−	0.0970668i
$97$	2.51108	+	0.815900i	0.254962	+	0.0828421i	0.433709	−	0.901053i	$-0.357205\pi$
$97$	2.51108	+	0.815900i	0.254962	+	0.0828421i	−0.178748	+	0.983895i	$0.557205\pi$
$98$	−0.199485	−	0.274567i	−0.0201510	−	0.0277354i
$99$	−5.62045			−0.564876
$100$	3.76186	+	3.29370i	0.376186	+	0.329370i
$101$	−3.82844			−0.380944			−0.190472	−	0.981693i	$-0.561002\pi$
$101$	−3.82844			−0.380944			−0.190472	+	0.981693i	$0.561002\pi$
$102$	0.614634	+	0.845972i	0.0608579	+	0.0837637i
$103$	−5.60479	−	1.82111i	−0.552256	−	0.179439i	0.0195778	−	0.999808i	$-0.493768\pi$
$103$	−5.60479	−	1.82111i	−0.552256	−	0.179439i	−0.571834	+	0.820369i	$0.693768\pi$
$104$	1.49589	−	4.60389i	0.146685	−	0.451449i
$105$	−1.60849	−	5.84035i	−0.156973	−	0.569960i
$106$	1.90883	+	5.87478i	0.185402	+	0.570609i
$107$			5.90758i			0.571108i	0.958363	+	0.285554i	$0.0921775\pi$
$107$			5.90758i			0.571108i	−0.958363	+	0.285554i	$0.907822\pi$
$108$	−0.951057	+	0.309017i	−0.0915155	+	0.0297352i
$109$	4.56128	+	3.31397i	0.436892	+	0.317420i	0.784399	−	0.620257i	$-0.212972\pi$
$109$	4.56128	+	3.31397i	0.436892	+	0.317420i	−0.347507	+	0.937677i	$0.612972\pi$
$110$	−12.1166	+	3.33703i	−1.15527	+	0.318173i
$111$	2.42041	−	1.75853i	0.229735	−	0.166912i
$112$	−1.59239	+	2.19173i	−0.150466	+	0.207099i
$113$	2.97826	−	4.09923i	0.280171	−	0.385623i	−0.645619	−	0.763659i	$-0.723401\pi$
$113$	2.97826	−	4.09923i	0.280171	−	0.385623i	0.925791	+	0.378037i	$0.123401\pi$
$114$	6.78356	−	4.92854i	0.635339	−	0.461601i
$115$	11.0823	+	4.16599i	1.03343	+	0.388481i
$116$	−3.39010	−	2.46305i	−0.314763	−	0.228688i
$117$	−4.60389	+	1.49589i	−0.425630	+	0.138296i
$118$		−	14.1876i		−	1.30607i
$119$	−0.875408	−	2.69423i	−0.0802485	−	0.246979i
$120$	−1.86682	+	1.23085i	−0.170416	+	0.112361i
$121$	6.36248	−	19.5817i	0.578407	−	1.78015i
$122$	−0.257345	−	0.0836164i	−0.0232989	−	0.00757027i
$123$	0.927190	+	1.27617i	0.0836019	+	0.115068i
$124$	5.58042			0.501136
$125$	−1.97877	−	11.0038i	−0.176987	−	0.984213i
$126$	2.70913			0.241348
$127$	−5.60106	−	7.70919i	−0.497013	−	0.684080i	0.484649	−	0.874709i	$-0.338947\pi$
$127$	−5.60106	−	7.70919i	−0.497013	−	0.684080i	−0.981662	+	0.190628i	$0.938947\pi$
$128$	0.951057	+	0.309017i	0.0840623	+	0.0273135i
$129$	−1.01873	+	3.13534i	−0.0896945	+	0.276051i
$130$	−9.03692	+	5.95832i	−0.792591	+	0.522579i
$131$	0.0460083	+	0.141599i	0.00401976	+	0.0123716i	0.953046	−	0.302825i	$-0.0979297\pi$
$131$	0.0460083	+	0.141599i	0.00401976	+	0.0123716i	−0.949027	+	0.315196i	$0.897930\pi$
$132$		−	5.62045i		−	0.489197i
$133$	−21.6041	+	7.01960i	−1.87331	+	0.608676i
$134$	5.10474	+	3.70881i	0.440983	+	0.320393i
$135$	2.09307	+	0.786811i	0.180142	+	0.0677179i
$136$	−0.845972	+	0.614634i	−0.0725415	+	0.0527045i
$137$	−5.30429	+	7.30072i	−0.453176	+	0.623743i	−0.973076	−	0.230484i	$-0.925969\pi$
$137$	−5.30429	+	7.30072i	−0.453176	+	0.623743i	0.519900	+	0.854227i	$0.325969\pi$
$138$	−3.11219	+	4.28357i	−0.264927	+	0.364641i
$139$	5.75420	−	4.18067i	0.488065	−	0.354600i	−0.316375	−	0.948634i	$-0.602466\pi$
$139$	5.75420	−	4.18067i	0.488065	−	0.354600i	0.804440	+	0.594034i	$0.202466\pi$
$140$	5.84035	−	1.60849i	0.493600	−	0.135942i
$141$	2.48671	+	1.80670i	0.209419	+	0.152152i
$142$	−4.31091	+	1.40070i	−0.361764	+	0.117544i
$143$		−	27.2075i		−	2.27521i
$144$	−0.309017	−	0.951057i	−0.0257514	−	0.0792547i
$145$	2.48796	+	9.03365i	0.206614	+	0.750204i
$146$	−2.52188	+	7.76156i	−0.208712	+	0.642351i
$147$	−0.322773	−	0.104875i	−0.0266218	−	0.00864996i
$148$	1.75853	+	2.42041i	0.144550	+	0.198956i
$149$	−15.4351			−1.26449			−0.632246	−	0.774768i	$-0.717867\pi$
$149$	−15.4351			−1.26449			−0.632246	+	0.774768i	$0.717867\pi$
$150$	4.97939	+	0.453494i	0.406566	+	0.0370276i
$151$	−7.99801			−0.650868			−0.325434	−	0.945565i	$-0.605510\pi$
$151$	−7.99801			−0.650868			−0.325434	+	0.945565i	$0.605510\pi$
$152$	4.92854	+	6.78356i	0.399758	+	0.550219i
$153$	0.994499	+	0.323132i	0.0804005	+	0.0261237i
$154$	−4.70525	+	14.4813i	−0.379160	+	1.16693i
$155$	−9.75170	−	7.78521i	−0.783276	−	0.625323i
$156$	−1.49589	−	4.60389i	−0.119767	−	0.368606i
$157$			15.6147i			1.24619i	0.782146	+	0.623095i	$0.214125\pi$
$157$			15.6147i			1.24619i	−0.782146	+	0.623095i	$0.785875\pi$
$158$	−11.8705	+	3.85697i	−0.944369	+	0.306844i
$159$	4.99738	+	3.63081i	0.396318	+	0.287942i
$160$	−1.23085	−	1.86682i	−0.0973073	−	0.147585i
$161$	11.6047	−	8.43133i	0.914581	−	0.664482i
$162$	−0.587785	+	0.809017i	−0.0461808	+	0.0635624i
$163$	2.14970	−	2.95881i	0.168378	−	0.231752i	−0.716487	−	0.697601i	$-0.754251\pi$
$163$	2.14970	−	2.95881i	0.168378	−	0.231752i	0.884864	+	0.465849i	$0.154251\pi$
$164$	−1.27617	+	0.927190i	−0.0996519	+	0.0724014i
$165$	−7.84106	+	9.82165i	−0.610425	+	0.764615i
$166$	0.108830	+	0.0790699i	0.00844688	+	0.00613702i
$167$	5.99458	−	1.94776i	0.463874	−	0.150722i	−0.0677496	−	0.997702i	$-0.521582\pi$
$167$	5.99458	−	1.94776i	0.463874	−	0.150722i	0.531624	+	0.846980i	$0.321582\pi$
$168$			2.70913i			0.209014i
$169$	−3.22413	−	9.92286i	−0.248010	−	0.763297i
$170$	2.33580	+	0.106146i	0.179148	+	0.00814101i
$171$	2.59109	−	7.97455i	0.198146	−	0.609829i
$172$	−3.13534	−	1.01873i	−0.239068	−	0.0776777i
$173$	6.25725	+	8.61237i	0.475730	+	0.654786i	0.977677	−	0.210112i	$-0.0673829\pi$
$173$	6.25725	+	8.61237i	0.475730	+	0.654786i	−0.501947	+	0.864898i	$0.667383\pi$
$174$	−4.19039			−0.317673
$175$	−12.4499	−	5.33703i	−0.941126	−	0.403441i
$176$	5.62045			0.423657
$177$	−8.33925	−	11.4780i	−0.626816	−	0.862739i
$178$	11.2131	+	3.64336i	0.840458	+	0.273081i
$179$	0.246999	−	0.760184i	0.0184615	−	0.0568188i	−0.941401	−	0.337288i	$-0.890490\pi$
$179$	0.246999	−	0.760184i	0.0184615	−	0.0568188i	0.959863	+	0.280470i	$0.0904902\pi$
$180$	−0.786811	+	2.09307i	−0.0586455	+	0.156008i
$181$	−5.04439	−	15.5250i	−0.374946	−	1.15397i	−0.943515	−	0.331330i	$-0.892503\pi$
$181$	−5.04439	−	15.5250i	−0.374946	−	1.15397i	0.568568	−	0.822636i	$-0.307497\pi$
$182$			13.1144i			0.972104i
$183$	−0.257345	+	0.0836164i	−0.0190235	+	0.00618110i
$184$	−4.28357	−	3.11219i	−0.315789	−	0.229434i
$185$	0.303694	−	6.68295i	0.0223280	−	0.491340i
$186$	4.51465	−	3.28009i	0.331030	−	0.240508i
$187$	−3.45452	+	4.75474i	−0.252619	+	0.347701i
$188$	−1.80670	+	2.48671i	−0.131767	+	0.181362i
$189$	2.19173	−	1.59239i	0.159425	−	0.115829i
$190$	0.851147	−	18.7300i	0.0617487	−	1.35881i
$191$	12.5641	+	9.12835i	0.909106	+	0.660504i	0.940789	−	0.338994i	$-0.110087\pi$
$191$	12.5641	+	9.12835i	0.909106	+	0.660504i	−0.0316826	+	0.999498i	$0.510087\pi$
$192$	0.951057	−	0.309017i	0.0686366	−	0.0223014i
$193$		−	21.0202i		−	1.51307i	−0.653956	−	0.756533i	$-0.726892\pi$
$193$		−	21.0202i		−	1.51307i	0.653956	−	0.756533i	$-0.273108\pi$
$194$	0.815900	+	2.51108i	0.0585782	+	0.180285i
$195$	−3.80881	+	10.1322i	−0.272755	+	0.725579i
$196$	0.104875	−	0.322773i	0.00749109	−	0.0230552i
$197$	−22.9751	−	7.46505i	−1.63691	−	0.531863i	−0.661062	−	0.750331i	$-0.729894\pi$
$197$	−22.9751	−	7.46505i	−1.63691	−	0.531863i	−0.975844	+	0.218468i	$0.929894\pi$
$198$	−3.30361	−	4.54704i	−0.234778	−	0.323144i
$199$	25.4930			1.80715			0.903574	−	0.428432i	$-0.140934\pi$
$199$	25.4930			1.80715			0.903574	+	0.428432i	$0.140934\pi$
$200$	−0.453494	+	4.97939i	−0.0320669	+	0.352096i
$201$	6.30981			0.445060
$202$	−2.25030	−	3.09727i	−0.158331	−	0.217923i
$203$	10.7967	+	3.50806i	0.757779	+	0.246217i
$204$	−0.323132	+	0.994499i	−0.0226238	+	0.0696289i
$205$	3.52360	+	0.160123i	0.246099	+	0.0111835i
$206$	−1.82111	−	5.60479i	−0.126882	−	0.390504i
$207$			5.29478i			0.368013i
$208$	4.60389	−	1.49589i	0.319222	−	0.103722i
$209$	38.1266	+	27.7006i	2.63727	+	1.91609i
$210$	3.77949	−	4.73417i	0.260810	−	0.326689i
$211$	−4.24669	+	3.08540i	−0.292354	+	0.212408i	−0.724288	−	0.689498i	$-0.757831\pi$
$211$	−4.24669	+	3.08540i	−0.292354	+	0.212408i	0.431934	+	0.901905i	$0.357831\pi$
$212$	−3.63081	+	4.99738i	−0.249365	+	0.343222i
$213$	−2.66429	+	3.66708i	−0.182554	+	0.251264i
$214$	−4.77934	+	3.47239i	−0.326709	+	0.237368i
$215$	4.05774	+	6.15432i	0.276735	+	0.419721i
$216$	−0.809017	−	0.587785i	−0.0550466	−	0.0399937i
$217$	−14.3781	+	4.67174i	−0.976052	+	0.317139i
$218$			5.63805i			0.381857i
$219$	2.52188	+	7.76156i	0.170413	+	0.524477i
$220$	−9.82165	−	7.84106i	−0.662176	−	0.528644i
$221$	−1.56423	+	4.81419i	−0.105221	+	0.323837i
$222$	2.84536	+	0.924514i	0.190968	+	0.0620493i
$223$	8.69743	+	11.9710i	0.582423	+	0.801637i	0.993958	−	0.109757i	$-0.0350073\pi$
$223$	8.69743	+	11.9710i	0.582423	+	0.801637i	−0.411535	+	0.911394i	$0.635007\pi$
$224$	−2.70913			−0.181011
$225$	4.29497	−	2.55993i	0.286331	−	0.170662i
$226$	5.06692			0.337047
$227$	6.98197	+	9.60986i	0.463410	+	0.637829i	0.975211	−	0.221275i	$-0.0710218\pi$
$227$	6.98197	+	9.60986i	0.463410	+	0.637829i	−0.511802	+	0.859104i	$0.671022\pi$
$228$	7.97455	+	2.59109i	0.528128	+	0.171599i
$229$	−5.64177	+	17.3636i	−0.372819	+	1.14742i	0.572119	+	0.820170i	$0.306121\pi$
$229$	−5.64177	+	17.3636i	−0.372819	+	1.14742i	−0.944938	+	0.327248i	$0.893879\pi$
$230$	3.14367	+	11.4145i	0.207287	+	0.752650i
$231$	4.70525	+	14.4813i	0.309583	+	0.952798i
$232$		−	4.19039i		−	0.275113i
$233$	2.71852	−	0.883301i	0.178096	−	0.0578669i	−0.218611	−	0.975812i	$-0.570153\pi$
$233$	2.71852	−	0.883301i	0.178096	−	0.0578669i	0.396708	+	0.917945i	$0.370153\pi$
$234$	−3.91630	−	2.84536i	−0.256017	−	0.186007i
$235$	6.62638	−	1.82497i	0.432257	−	0.119048i
$236$	11.4780	−	8.33925i	0.747154	−	0.542839i
$237$	−7.33640	+	10.0977i	−0.476550	+	0.655915i
$238$	1.66512	−	2.29185i	0.107934	−	0.148558i
$239$	13.2548	−	9.63014i	0.857379	−	0.622922i	−0.0697919	−	0.997562i	$-0.522234\pi$
$239$	13.2548	−	9.63014i	0.857379	−	0.622922i	0.927171	+	0.374640i	$0.122234\pi$
$240$	−2.09307	−	0.786811i	−0.135107	−	0.0507885i
$241$	−21.2995	−	15.4750i	−1.37202	−	0.996831i	−0.997576	−	0.0695808i	$-0.977834\pi$
$241$	−21.2995	−	15.4750i	−1.37202	−	0.996831i	−0.374443	−	0.927250i	$-0.622166\pi$
$242$	19.5817	−	6.36248i	1.25876	−	0.408995i
$243$			1.00000i			0.0641500i
$244$	−0.0836164	−	0.257345i	−0.00535299	−	0.0164748i
$245$	−0.633567	+	0.417730i	−0.0404771	+	0.0266878i
$246$	−0.487453	+	1.50022i	−0.0310788	+	0.0956508i
$247$	38.6034	+	12.5430i	2.45627	+	0.798091i
$248$	3.28009	+	4.51465i	0.208286	+	0.286681i
$249$	0.134522			0.00852497
$250$	7.73920	−	8.06875i	0.489470	−	0.510313i
$251$	−13.8356			−0.873295			−0.436647	−	0.899633i	$-0.643834\pi$
$251$	−13.8356			−0.873295			−0.436647	+	0.899633i	$0.643834\pi$
$252$	1.59239	+	2.19173i	0.100311	+	0.138066i
$253$	−28.3025	−	9.19604i	−1.77936	−	0.578150i
$254$	2.94465	−	9.06270i	0.184764	−	0.568644i
$255$	1.95209	−	1.28707i	0.122245	−	0.0805997i
$256$	0.309017	+	0.951057i	0.0193136	+	0.0594410i
$257$		−	28.6204i		−	1.78529i	−0.450756	−	0.892647i	$-0.648846\pi$
$257$		−	28.6204i		−	1.78529i	0.450756	−	0.892647i	$-0.351154\pi$
$258$	−3.13534	+	1.01873i	−0.195198	+	0.0634236i
$259$	−6.55720	−	4.76409i	−0.407445	−	0.296026i
$260$	−10.1322	−	3.80881i	−0.628369	−	0.236212i
$261$	−3.39010	+	2.46305i	−0.209842	+	0.152459i
$262$	−0.0875130	+	0.120451i	−0.00540657	+	0.00744150i
$263$	1.83569	−	2.52661i	0.113194	−	0.155798i	−0.748661	−	0.662953i	$-0.769303\pi$
$263$	1.83569	−	2.52661i	0.113194	−	0.155798i	0.861855	+	0.507155i	$0.169303\pi$
$264$	4.54704	−	3.30361i	0.279851	−	0.203323i
$265$	13.3166	−	3.66753i	0.818033	−	0.225295i
$266$	−18.3775	−	13.3521i	−1.12680	−	0.818668i
$267$	11.2131	−	3.64336i	0.686231	−	0.222970i
$268$			6.30981i			0.385433i
$269$	−2.85284	−	8.78015i	−0.173941	−	0.535335i	0.825643	−	0.564194i	$-0.190813\pi$
$269$	−2.85284	−	8.78015i	−0.173941	−	0.535335i	−0.999584	+	0.0288583i	$0.990813\pi$
$270$	0.593730	+	2.15580i	0.0361332	+	0.131198i
$271$	−6.70088	+	20.6232i	−0.407050	+	1.25277i	0.512122	+	0.858913i	$0.328860\pi$
$271$	−6.70088	+	20.6232i	−0.407050	+	1.25277i	−0.919172	+	0.393857i	$0.871140\pi$
$272$	−0.994499	−	0.323132i	−0.0603004	−	0.0195928i
$273$	7.70845	+	10.6098i	0.466537	+	0.642133i
$274$	−9.02419			−0.545171
$275$	6.22418	+	27.4043i	0.375332	+	1.65254i
$276$	−5.29478			−0.318708
$277$	−6.05129	−	8.32889i	−0.363587	−	0.500434i	0.587557	−	0.809183i	$-0.300090\pi$
$277$	−6.05129	−	8.32889i	−0.363587	−	0.500434i	−0.951144	+	0.308749i	$0.900090\pi$
$278$	6.76447	+	2.19791i	0.405706	+	0.131822i
$279$	1.72444	−	5.30729i	0.103240	−	0.317739i
$280$	4.73417	+	3.77949i	0.282921	+	0.225868i
$281$	−0.246763	−	0.759459i	−0.0147207	−	0.0453055i	0.943426	−	0.331582i	$-0.107582\pi$
$281$	−0.246763	−	0.759459i	−0.0147207	−	0.0453055i	−0.958147	+	0.286277i	$0.907582\pi$
$282$			3.07374i			0.183039i
$283$	−0.694882	+	0.225781i	−0.0413064	+	0.0134213i	−0.329597	−	0.944122i	$-0.606913\pi$
$283$	−0.694882	+	0.225781i	−0.0413064	+	0.0134213i	0.288291	+	0.957543i	$0.406913\pi$
$284$	−3.66708	−	2.66429i	−0.217601	−	0.158097i
$285$	−10.3206	−	15.6532i	−0.611340	−	0.927213i
$286$	22.0114	−	15.9922i	1.30156	−	0.945638i
$287$	2.51188	−	3.45730i	0.148271	−	0.204078i
$288$	0.587785	−	0.809017i	0.0346356	−	0.0476718i
$289$	−12.8687	+	9.34964i	−0.756981	+	0.549979i
$290$	−5.84599	+	7.32265i	−0.343289	+	0.430001i
$291$	2.13605	+	1.55193i	0.125218	+	0.0909759i
$292$	−7.76156	+	2.52188i	−0.454211	+	0.147582i
$293$			18.4842i			1.07986i	0.841711	+	0.539929i	$0.181549\pi$
$293$			18.4842i			1.07986i	−0.841711	+	0.539929i	$0.818451\pi$
$294$	−0.104875	−	0.322773i	−0.00611645	−	0.0188245i
$295$	−31.6917	−	1.44017i	−1.84516	−	0.0838498i
$296$	−0.924514	+	2.84536i	−0.0537363	+	0.165383i
$297$	−5.34536	−	1.73681i	−0.310169	−	0.100780i
$298$	−9.07251	−	12.4872i	−0.525557	−	0.723367i
$299$	−25.6311			−1.48228
$300$	2.55993	+	4.29497i	0.147798	+	0.247970i
$301$	8.93117			0.514784
$302$	−4.70111	−	6.47052i	−0.270518	−	0.372337i
$303$	−3.64106	−	1.18305i	−0.209173	−	0.0679646i
$304$	−2.59109	+	7.97455i	−0.148609	+	0.457372i
$305$	−0.212902	+	0.566359i	−0.0121907	+	0.0324296i
$306$	0.323132	+	0.994499i	0.0184723	+	0.0568518i
$307$		−	14.1923i		−	0.809998i	−0.914317	−	0.404999i	$-0.867272\pi$
$307$		−	14.1923i		−	0.809998i	0.914317	−	0.404999i	$-0.132728\pi$
$308$	−14.4813	+	4.70525i	−0.825147	+	0.268107i
$309$	−4.76772	−	3.46395i	−0.271226	−	0.197057i
$310$	0.566463	−	12.4653i	0.0321729	−	0.707983i
$311$	−8.18254	+	5.94496i	−0.463989	+	0.337108i	−0.795094	−	0.606486i	$-0.792579\pi$
$311$	−8.18254	+	5.94496i	−0.463989	+	0.337108i	0.331105	+	0.943594i	$0.392579\pi$
$312$	2.84536	−	3.91630i	0.161087	−	0.221717i
$313$	4.11476	−	5.66348i	0.232580	−	0.320119i	−0.676735	−	0.736226i	$-0.736606\pi$
$313$	4.11476	−	5.66348i	0.232580	−	0.320119i	0.909316	+	0.416107i	$0.136606\pi$
$314$	−12.6326	+	9.17810i	−0.712898	+	0.517950i
$315$	0.275001	−	6.05155i	0.0154946	−	0.340966i
$316$	−10.0977	−	7.33640i	−0.568039	−	0.412704i
$317$	−14.5878	+	4.73987i	−0.819333	+	0.266218i	−0.688546	−	0.725193i	$-0.741751\pi$
$317$	−14.5878	+	4.73987i	−0.819333	+	0.266218i	−0.130788	+	0.991410i	$0.541751\pi$
$318$			6.17710i			0.346395i
$319$	−7.27792	−	22.3991i	−0.407485	−	1.25411i
$320$	0.786811	−	2.09307i	0.0439841	−	0.117006i
$321$	−1.82554	+	5.61845i	−0.101892	+	0.313591i
$322$	13.6422	+	4.43261i	0.760249	+	0.247020i
$323$	−5.15367	−	7.09342i	−0.286758	−	0.394689i
$324$	−1.00000			−0.0555556
$325$	12.3921	+	20.7912i	0.687393	+	1.15329i
$326$	3.65730			0.202559
$327$	3.31397	+	4.56128i	0.183263	+	0.252239i
$328$	−1.50022	−	0.487453i	−0.0828361	−	0.0269151i
$329$	2.57324	−	7.91960i	0.141867	−	0.436622i
$330$	−12.5547	−	0.570526i	−0.691116	−	0.0314064i
$331$	7.30737	+	22.4898i	0.401650	+	1.23615i	0.923661	+	0.383212i	$0.125182\pi$
$331$	7.30737	+	22.4898i	0.401650	+	1.23615i	−0.522011	+	0.852939i	$0.674818\pi$
$332$			0.134522i			0.00738284i
$333$	2.84536	−	0.924514i	0.155925	−	0.0506630i
$334$	5.09929	+	3.70485i	0.279021	+	0.202721i
$335$	8.80279	−	11.0263i	0.480948	−	0.602431i
$336$	−2.19173	+	1.59239i	−0.119569	+	0.0868718i
$337$	16.2888	−	22.4196i	0.887306	−	1.22127i	−0.0870374	−	0.996205i	$-0.527740\pi$
$337$	16.2888	−	22.4196i	0.887306	−	1.22127i	0.974343	−	0.225067i	$-0.0722600\pi$
$338$	6.13266	−	8.44089i	0.333573	−	0.459124i
$339$	4.09923	−	2.97826i	0.222639	−	0.161757i
$340$	1.28707	+	1.95209i	0.0698014	+	0.105867i
$341$	25.3744	+	18.4355i	1.37410	+	0.998341i
$342$	7.97455	−	2.59109i	0.431214	−	0.140110i
$343$		−	18.0445i		−	0.974310i
$344$	−1.01873	−	3.13534i	−0.0549265	−	0.169046i
$345$	9.25256	+	7.38672i	0.498141	+	0.397688i
$346$	−3.28963	+	10.1244i	−0.176852	+	0.544294i
$347$	−25.3799	−	8.24643i	−1.36246	−	0.442692i	−0.465600	−	0.884996i	$-0.654161\pi$
$347$	−25.3799	−	8.24643i	−1.36246	−	0.442692i	−0.896865	+	0.442304i	$0.854161\pi$
$348$	−2.46305	−	3.39010i	−0.132033	−	0.181728i
$349$	5.73576			0.307028			0.153514	−	0.988146i	$-0.450941\pi$
$349$	5.73576			0.307028			0.153514	+	0.988146i	$0.450941\pi$
$350$	−3.00014	−	13.2092i	−0.160364	−	0.706063i
$351$	−4.84082			−0.258384
$352$	3.30361	+	4.54704i	0.176083	+	0.242358i
$353$	−27.6785	−	8.99327i	−1.47318	−	0.478664i	−0.541109	−	0.840952i	$-0.681996\pi$
$353$	−27.6785	−	8.99327i	−1.47318	−	0.478664i	−0.932066	+	0.362288i	$0.881996\pi$
$354$	4.38420	−	13.4932i	0.233018	−	0.717155i
$355$	2.69124	+	9.77174i	0.142836	+	0.518630i
$356$	3.64336	+	11.2131i	0.193098	+	0.594293i
$357$		−	2.83288i		−	0.149932i
$358$	0.760184	−	0.246999i	0.0401770	−	0.0130543i
$359$	−10.5088	−	7.63506i	−0.554631	−	0.402963i	0.274859	−	0.961485i	$-0.411369\pi$
$359$	−10.5088	−	7.63506i	−0.554631	−	0.402963i	−0.829490	+	0.558521i	$0.811369\pi$
$360$	−2.15580	+	0.593730i	−0.113621	+	0.0312923i
$361$	−41.5084	+	30.1576i	−2.18465	+	1.58724i
$362$	9.59500	−	13.2064i	0.504302	−	0.694112i
$363$	12.1021	−	16.6572i	0.635198	−	0.874275i
$364$	−10.6098	+	7.70845i	−0.556103	+	0.404033i
$365$	17.0815	+	6.42116i	0.894086	+	0.336099i
$366$	−0.218911	−	0.159048i	−0.0114426	−	0.00831356i
$367$	−3.50756	+	1.13968i	−0.183093	+	0.0594906i	−0.399129	−	0.916895i	$-0.630687\pi$
$367$	−3.50756	+	1.13968i	−0.183093	+	0.0594906i	0.216035	+	0.976386i	$0.430687\pi$
$368$		−	5.29478i		−	0.276009i
$369$	0.487453	+	1.50022i	0.0253758	+	0.0780986i
$370$	5.58513	−	3.68244i	0.290357	−	0.191441i
$371$	5.17127	−	15.9155i	0.268479	−	0.826293i
$372$	5.30729	+	1.72444i	0.275170	+	0.0894083i
$373$	15.2853	+	21.0383i	0.791440	+	1.08932i	0.993927	+	0.110039i	$0.0350976\pi$
$373$	15.2853	+	21.0383i	0.791440	+	1.08932i	−0.202487	+	0.979285i	$0.564902\pi$
$374$	−5.87718			−0.303902
$375$	1.51845	−	11.0767i	0.0784125	−	0.572001i
$376$	−3.07374			−0.158516
$377$	−11.9232	−	16.4108i	−0.614074	−	0.845201i
$378$	2.57654	+	0.837167i	0.132523	+	0.0430592i
$379$	9.32153	−	28.6887i	0.478815	−	1.47364i	−0.361929	−	0.932206i	$-0.617882\pi$
$379$	9.32153	−	28.6887i	0.478815	−	1.47364i	0.840743	−	0.541434i	$-0.182118\pi$
$380$	15.6532	−	10.3206i	0.802990	−	0.529436i
$381$	−2.94465	−	9.06270i	−0.150859	−	0.464296i
$382$			15.5301i			0.794588i
$383$	12.7109	−	4.13001i	0.649495	−	0.211034i	0.0343033	−	0.999411i	$-0.489079\pi$
$383$	12.7109	−	4.13001i	0.649495	−	0.211034i	0.615191	+	0.788378i	$0.289079\pi$
$384$	0.809017	+	0.587785i	0.0412850	+	0.0299953i
$385$	31.8701	+	11.9804i	1.62425	+	0.610578i
$386$	17.0057	−	12.3554i	0.865567	−	0.628871i
$387$	−1.93775	+	2.66708i	−0.0985012	+	0.135575i
$388$	−1.55193	+	2.13605i	−0.0787875	+	0.108442i
$389$	−7.84772	+	5.70170i	−0.397895	+	0.289088i	−0.768683	−	0.639630i	$-0.779088\pi$
$389$	−7.84772	+	5.70170i	−0.397895	+	0.289088i	0.370788	+	0.928718i	$0.379088\pi$
$390$	−10.4358	+	2.87414i	−0.528440	+	0.145538i
$391$	4.47923	+	3.25435i	0.226525	+	0.164580i
$392$	0.322773	−	0.104875i	0.0163025	−	0.00529700i
$393$			0.148886i			0.00751030i
$394$	−7.46505	−	22.9751i	−0.376084	−	1.15747i
$395$	7.41059	+	26.9075i	0.372867	+	1.35386i
$396$	1.73681	−	5.34536i	0.0872781	−	0.268614i
$397$	7.52519	+	2.44508i	0.377679	+	0.122715i	0.491704	−	0.870763i	$-0.336374\pi$
$397$	7.52519	+	2.44508i	0.377679	+	0.122715i	−0.114025	+	0.993478i	$0.536374\pi$
$398$	14.9844	+	20.6242i	0.751100	+	1.03380i
$399$	−22.7159			−1.13722
$400$	−4.29497	+	2.55993i	−0.214748	+	0.127996i
$401$	−20.1362			−1.00555			−0.502777	−	0.864416i	$-0.667688\pi$
$401$	−20.1362			−1.00555			−0.502777	+	0.864416i	$0.667688\pi$
$402$	3.70881	+	5.10474i	0.184979	+	0.254601i
$403$	25.6916	+	8.34772i	1.27979	+	0.415829i
$404$	1.18305	−	3.64106i	0.0588591	−	0.181150i
$405$	1.74749	+	1.39510i	0.0868333	+	0.0693228i
$406$	3.50806	+	10.7967i	0.174102	+	0.535831i
$407$			16.8152i			0.833498i
$408$	−0.994499	+	0.323132i	−0.0492351	+	0.0159974i
$409$	−2.27125	−	1.65016i	−0.112306	−	0.0815951i	0.530215	−	0.847863i	$-0.322111\pi$
$409$	−2.27125	−	1.65016i	−0.112306	−	0.0815951i	−0.642521	+	0.766268i	$0.722111\pi$
$410$	1.94158	+	2.94477i	0.0958878	+	0.145432i
$411$	−7.30072	+	5.30429i	−0.360118	+	0.261641i
$412$	3.46395	−	4.76772i	0.170657	−	0.234889i
$413$	−22.5921	+	31.0954i	−1.11168	+	1.53010i
$414$	−4.28357	+	3.11219i	−0.210526	+	0.152956i
$415$	0.187671	−	0.235075i	0.00921240	−	0.0115394i
$416$	3.91630	+	2.84536i	0.192013	+	0.139505i
$417$	6.76447	−	2.19791i	0.331258	−	0.107632i
$418$			47.1271i			2.30506i
$419$	10.2582	+	31.5714i	0.501144	+	1.54236i	0.807157	+	0.590337i	$0.201005\pi$
$419$	10.2582	+	31.5714i	0.501144	+	1.54236i	−0.306013	+	0.952027i	$0.598995\pi$
$420$	6.05155	+	0.275001i	0.295286	+	0.0134187i
$421$	5.91384	−	18.2009i	0.288223	−	0.887059i	−0.697191	−	0.716885i	$-0.745567\pi$
$421$	5.91384	−	18.2009i	0.288223	−	0.887059i	0.985414	−	0.170174i	$-0.0544329\pi$
$422$	−4.99228	−	1.62209i	−0.243021	−	0.0789622i
$423$	1.80670	+	2.48671i	0.0878447	+	0.120908i
$424$	−6.17710			−0.299987
$425$	0.474209	−	5.20684i	0.0230025	−	0.252569i
$426$	−4.53276			−0.219613
$427$	0.430881	+	0.593057i	0.0208518	+	0.0287000i
$428$	−5.61845	−	1.82554i	−0.271578	−	0.0882410i
$429$	8.40759	−	25.8759i	0.405922	−	1.24930i
$430$	−2.59388	+	6.90020i	−0.125088	+	0.332757i
$431$	−6.19003	−	19.0510i	−0.298163	−	0.917652i	−0.982141	−	0.188149i	$-0.939751\pi$
$431$	−6.19003	−	19.0510i	−0.298163	−	0.917652i	0.683977	−	0.729503i	$-0.260249\pi$
$432$		−	1.00000i		−	0.0481125i
$433$	30.7778	−	10.0003i	1.47909	−	0.480585i	0.545247	−	0.838275i	$-0.316436\pi$
$433$	30.7778	−	10.0003i	1.47909	−	0.480585i	0.933840	+	0.357691i	$0.116436\pi$
$434$	−12.2308	−	8.88618i	−0.587096	−	0.426550i
$435$	−0.425362	+	9.36034i	−0.0203946	+	0.448794i
$436$	−4.56128	+	3.31397i	−0.218446	+	0.158710i
$437$	26.0956	−	35.9175i	1.24832	−	1.71816i
$438$	−4.79691	+	6.60237i	−0.229205	+	0.315474i
$439$	14.0178	−	10.1846i	0.669035	−	0.486083i	−0.200667	−	0.979660i	$-0.564311\pi$
$439$	14.0178	−	10.1846i	0.669035	−	0.486083i	0.869702	+	0.493577i	$0.164311\pi$
$440$	0.570526	−	12.5547i	0.0271988	−	0.598524i
$441$	−0.274567	−	0.199485i	−0.0130746	−	0.00949926i
$442$	−4.81419	+	1.56423i	−0.228988	+	0.0744026i
$443$		−	16.5326i		−	0.785489i	−0.919648	−	0.392745i	$-0.871526\pi$
$443$		−	16.5326i		−	0.785489i	0.919648	−	0.392745i	$-0.128474\pi$
$444$	0.924514	+	2.84536i	0.0438755	+	0.135035i
$445$	9.27663	−	24.6776i	0.439754	−	1.16983i
$446$	−4.57251	+	14.0727i	−0.216515	+	0.666364i
$447$	−14.6796	−	4.76970i	−0.694323	−	0.225599i
$448$	−1.59239	−	2.19173i	−0.0752332	−	0.103550i
$449$	−2.51289			−0.118591			−0.0592954	−	0.998240i	$-0.518885\pi$
$449$	−2.51289			−0.118591			−0.0592954	+	0.998240i	$0.518885\pi$
$450$	4.59555	+	1.97002i	0.216636	+	0.0928674i
$451$	−8.86586			−0.417477
$452$	2.97826	+	4.09923i	0.140086	+	0.192811i
$453$	−7.60655	−	2.47152i	−0.357387	−	0.116122i
$454$	−3.67064	+	11.2971i	−0.172272	+	0.530198i
$455$	29.2945	+	1.33123i	1.37335	+	0.0624090i
$456$	2.59109	+	7.97455i	0.121339	+	0.373443i
$457$			36.7686i			1.71996i	0.510324	+	0.859982i	$0.329525\pi$
$457$			36.7686i			1.71996i	−0.510324	+	0.859982i	$0.670475\pi$
$458$	−17.3636	+	5.64177i	−0.811347	+	0.263623i
$459$	0.845972	+	0.614634i	0.0394866	+	0.0286887i
$460$	−7.38672	+	9.25256i	−0.344408	+	0.431403i
$461$	−4.91129	+	3.56826i	−0.228741	+	0.166190i	−0.696253	−	0.717797i	$-0.745151\pi$
$461$	−4.91129	+	3.56826i	−0.228741	+	0.166190i	0.467511	+	0.883987i	$0.345151\pi$
$462$	−8.94992	+	12.3185i	−0.416388	+	0.573109i
$463$	−19.5805	+	26.9502i	−0.909982	+	1.25248i	0.0571903	+	0.998363i	$0.481786\pi$
$463$	−19.5805	+	26.9502i	−0.909982	+	1.25248i	−0.967173	+	0.254120i	$0.918214\pi$
$464$	3.39010	−	2.46305i	0.157381	−	0.114344i
$465$	−6.86866	−	10.4176i	−0.318526	−	0.483106i
$466$	2.31251	+	1.68014i	0.107125	+	0.0778309i
$467$	8.68934	−	2.82334i	0.402094	−	0.130648i	−0.100986	−	0.994888i	$-0.532200\pi$
$467$	8.68934	−	2.82334i	0.402094	−	0.130648i	0.503081	+	0.864239i	$0.332200\pi$
$468$		−	4.84082i		−	0.223767i
$469$	−5.28236	−	16.2574i	−0.243917	−	0.750699i
$470$	5.37132	+	4.28816i	0.247761	+	0.197798i
$471$	−4.82522	+	14.8505i	−0.222334	+	0.684274i
$472$	13.4932	+	4.38420i	0.621074	+	0.201799i
$473$	−10.8910	−	14.9902i	−0.500769	−	0.689249i
$474$	−12.4814			−0.573291
$475$	−41.7519	−	3.80252i	−1.91571	−	0.174472i
$476$	2.83288			0.129845
$477$	3.63081	+	4.99738i	0.166243	+	0.228814i
$478$	15.5819	+	5.06286i	0.712699	+	0.231570i
$479$	−6.44637	+	19.8399i	−0.294542	+	0.906507i	0.688833	+	0.724920i	$0.258123\pi$
$479$	−6.44637	+	19.8399i	−0.294542	+	0.906507i	−0.983375	+	0.181587i	$0.941877\pi$
$480$	−0.593730	−	2.15580i	−0.0270999	−	0.0983985i
$481$	4.47540	+	13.7739i	0.204061	+	0.628034i
$482$		−	26.3276i		−	1.19919i
$483$	13.6422	−	4.43261i	0.620741	−	0.201691i
$484$	16.6572	+	12.1021i	0.757144	+	0.550098i
$485$	5.69198	−	1.56763i	0.258460	−	0.0711824i
$486$	−0.809017	+	0.587785i	−0.0366978	+	0.0266625i
$487$	−0.748202	+	1.02981i	−0.0339043	+	0.0466652i	−0.825633	−	0.564208i	$-0.809182\pi$
$487$	−0.748202	+	1.02981i	−0.0339043	+	0.0466652i	0.791728	+	0.610873i	$0.209182\pi$
$488$	0.159048	−	0.218911i	0.00719976	−	0.00990961i
$489$	2.95881	−	2.14970i	0.133802	−	0.0972130i
$490$	−0.710352	−	0.267031i	−0.0320904	−	0.0120632i
$491$	−8.65507	−	6.28827i	−0.390598	−	0.283786i	0.375103	−	0.926983i	$-0.377607\pi$
$491$	−8.65507	−	6.28827i	−0.390598	−	0.283786i	−0.765700	+	0.643197i	$0.777607\pi$
$492$	−1.50022	+	0.487453i	−0.0676354	+	0.0219761i
$493$			4.38180i			0.197346i
$494$	12.5430	+	38.6034i	0.564336	+	1.73685i
$495$	−10.4923	+	6.91793i	−0.471596	+	0.310938i
$496$	−1.72444	+	5.30729i	−0.0774298	+	0.238304i
$497$	11.6788	+	3.79468i	0.523867	+	0.170215i
$498$	0.0790699	+	0.108830i	0.00354321	+	0.00487681i
$499$	7.08035			0.316960			0.158480	−	0.987362i	$-0.449341\pi$
$499$	7.08035			0.316960			0.158480	+	0.987362i	$0.449341\pi$
$500$	11.0767	+	1.51845i	0.495367	+	0.0679072i
$501$	6.30307			0.281601
$502$	−8.13236	−	11.1932i	−0.362965	−	0.499578i
$503$	5.26012	+	1.70912i	0.234537	+	0.0762058i	0.423928	−	0.905696i	$-0.360651\pi$
$503$	5.26012	+	1.70912i	0.234537	+	0.0762058i	−0.189390	+	0.981902i	$0.560651\pi$
$504$	−0.837167	+	2.57654i	−0.0372904	+	0.114768i
$505$	−7.14700	+	4.71223i	−0.318037	+	0.209692i
$506$	−9.19604	−	28.3025i	−0.408814	−	1.25820i
$507$		−	10.4335i		−	0.463368i
$508$	9.06270	−	2.94465i	0.402092	−	0.130648i
$509$	7.79724	+	5.66503i	0.345607	+	0.251098i	0.747024	−	0.664798i	$-0.231482\pi$
$509$	7.79724	+	5.66503i	0.345607	+	0.251098i	−0.401417	+	0.915895i	$0.631482\pi$
$510$	2.18868	+	0.822752i	0.0969162	+	0.0364321i
$511$	17.8867	−	12.9954i	0.791260	−	0.574884i
$512$	−0.587785	+	0.809017i	−0.0259767	+	0.0357538i
$513$	4.92854	−	6.78356i	0.217601	−	0.299501i
$514$	23.1544	−	16.8227i	1.02130	−	0.742016i
$515$	−12.7046	+	3.49898i	−0.559833	+	0.154184i
$516$	−2.66708	−	1.93775i	−0.117412	−	0.0853046i
$517$	−16.4303	+	5.33851i	−0.722602	+	0.234788i
$518$		−	8.10515i		−	0.356120i
$519$	3.28963	+	10.1244i	0.144399	+	0.444414i
$520$	−2.87414	−	10.4358i	−0.126039	−	0.457642i
$521$	6.26109	−	19.2697i	0.274304	−	0.844219i	−0.715099	−	0.699023i	$-0.753619\pi$
$521$	6.26109	−	19.2697i	0.274304	−	0.844219i	0.989403	−	0.145197i	$-0.0463814\pi$
$522$	−3.98530	−	1.29490i	−0.174432	−	0.0566763i
$523$	−15.0873	−	20.7659i	−0.659722	−	0.908030i	0.339750	−	0.940516i	$-0.389658\pi$
$523$	−15.0873	−	20.7659i	−0.659722	−	0.908030i	−0.999472	+	0.0324859i	$0.989658\pi$
$524$	−0.148886			−0.00650411
$525$	−10.1914	−	8.92305i	−0.444787	−	0.389434i
$526$	3.12306			0.136172
$527$	−3.42992	−	4.72088i	−0.149410	−	0.205645i
$528$	5.34536	+	1.73681i	0.232627	+	0.0755851i
$529$	−1.55580	+	4.78827i	−0.0676436	+	0.208186i
$530$	10.7944	+	8.61765i	0.468879	+	0.374327i
$531$	−4.38420	−	13.4932i	−0.190258	−	0.585554i
$532$		−	22.7159i		−	0.984859i
$533$	−7.26231	+	2.35967i	−0.314566	+	0.102209i
$534$	9.53844	+	6.93008i	0.412769	+	0.299894i
$535$	7.27135	+	11.0284i	0.314368	+	0.476798i
$536$	−5.10474	+	3.70881i	−0.220491	+	0.160196i
$537$	0.469819	−	0.646651i	0.0202742	−	0.0279050i
$538$	5.42643	−	7.46884i	0.233950	−	0.322005i
$539$	1.54319	−	1.12119i	0.0664698	−	0.0482932i
$540$	−1.39510	+	1.74749i	−0.0600353	+	0.0751998i
$541$	3.20447	+	2.32818i	0.137771	+	0.100096i	0.654536	−	0.756031i	$-0.272864\pi$
$541$	3.20447	+	2.32818i	0.137771	+	0.100096i	−0.516765	+	0.856127i	$0.672864\pi$
$542$	−20.6232	+	6.70088i	−0.885842	+	0.287828i
$543$		−	16.3240i		−	0.700529i
$544$	−0.323132	−	0.994499i	−0.0138542	−	0.0426388i
$545$	12.5941	+	0.572313i	0.539471	+	0.0245152i
$546$	−4.05257	+	12.4725i	−0.173434	+	0.533775i
$547$	−9.46392	−	3.07502i	−0.404648	−	0.131478i	0.0996194	−	0.995026i	$-0.468237\pi$
$547$	−9.46392	−	3.07502i	−0.404648	−	0.131478i	−0.504268	+	0.863547i	$0.668237\pi$
$548$	−5.30429	−	7.30072i	−0.226588	−	0.311871i
$549$	−0.270588			−0.0115484
$550$	−18.5120	+	21.1433i	−0.789356	+	0.901553i
$551$	35.1362			1.49685
$552$	−3.11219	−	4.28357i	−0.132464	−	0.182321i
$553$	32.1588	+	10.4490i	1.36753	+	0.444338i
$554$	3.18135	−	9.79119i	0.135163	−	0.415988i
$555$	2.35397	−	6.26201i	0.0999206	−	0.265808i
$556$	2.19791	+	6.76447i	0.0932122	+	0.286878i
$557$			18.7017i			0.792415i	0.918161	+	0.396207i	$0.129674\pi$
$557$			18.7017i			0.792415i	−0.918161	+	0.396207i	$0.870326\pi$
$558$	5.30729	−	1.72444i	0.224676	−	0.0730015i
$559$	−12.9108	−	9.38028i	−0.546071	−	0.396744i
$560$	−0.275001	+	6.05155i	−0.0116209	+	0.255725i
$561$	−4.75474	+	3.45452i	−0.200745	+	0.145850i
$562$	0.469371	−	0.646034i	0.0197992	−	0.0272513i
$563$	−22.5630	+	31.0553i	−0.950917	+	1.30882i	0.000202039		1.00000i	$0.499936\pi$
$563$	−22.5630	+	31.0553i	−0.950917	+	1.30882i	−0.951119	+	0.308825i	$0.900064\pi$
$564$	−2.48671	+	1.80670i	−0.104709	+	0.0760758i
$565$	0.514338	−	11.3183i	0.0216384	−	0.476165i
$566$	−0.591102	−	0.429461i	−0.0248459	−	0.0180516i
$567$	2.57654	−	0.837167i	0.108204	−	0.0351577i
$568$		−	4.53276i		−	0.190190i
$569$	4.90344	+	15.0913i	0.205563	+	0.632658i	0.999690	+	0.0249059i	$0.00792861\pi$
$569$	4.90344	+	15.0913i	0.205563	+	0.632658i	−0.794127	+	0.607752i	$0.792071\pi$
$570$	6.59737	−	17.5502i	0.276333	−	0.735099i
$571$	9.96877	−	30.6807i	0.417180	−	1.28395i	−0.493106	−	0.869969i	$-0.664139\pi$
$571$	9.96877	−	30.6807i	0.417180	−	1.28395i	0.910286	−	0.413979i	$-0.135861\pi$
$572$	25.8759	+	8.40759i	1.08193	+	0.351539i
$573$	9.12835	+	12.5641i	0.381342	+	0.524873i
$574$	4.27346			0.178371
$575$	25.8164	−	5.86353i	1.07662	−	0.244526i
$576$	1.00000			0.0416667
$577$	−16.4815	−	22.6848i	−0.686132	−	0.944379i	0.313855	−	0.949471i	$-0.398379\pi$
$577$	−16.4815	−	22.6848i	−0.686132	−	0.944379i	−0.999987	+	0.00509145i	$0.998379\pi$
$578$	−15.1280	−	4.91540i	−0.629243	−	0.204454i
$579$	6.49559	−	19.9914i	0.269948	−	0.830813i
$580$	−9.36034	−	0.425362i	−0.388667	−	0.0176622i
$581$	−0.112617	−	0.346600i	−0.00467215	−	0.0143794i
$582$			2.64031i			0.109444i
$583$	−33.0189	+	10.7285i	−1.36750	+	0.444328i
$584$	−6.60237	−	4.79691i	−0.273208	−	0.198497i
$585$	−6.75340	+	8.45926i	−0.279219	+	0.349747i
$586$	−14.9540	+	10.8647i	−0.617745	+	0.448818i
$587$	−6.69311	+	9.21228i	−0.276254	+	0.380231i	−0.924489	−	0.381209i	$-0.875508\pi$
$587$	−6.69311	+	9.21228i	−0.276254	+	0.380231i	0.648234	+	0.761441i	$0.275508\pi$
$588$	0.199485	−	0.274567i	0.00822660	−	0.0113229i
$589$	−37.8551	+	27.5033i	−1.55979	+	1.13326i
$590$	−17.4628	−	26.4856i	−0.718931	−	1.09040i
$591$	−19.5438	−	14.1994i	−0.803923	−	0.584084i
$592$	−2.84536	+	0.924514i	−0.116944	+	0.0379973i
$593$			34.9063i			1.43343i	0.697366	+	0.716715i	$0.254355\pi$
$593$			34.9063i			1.43343i	−0.697366	+	0.716715i	$0.745645\pi$
$594$	−1.73681	−	5.34536i	−0.0712623	−	0.219323i
$595$	−4.95042	−	3.95214i	−0.202947	−	0.162022i
$596$	4.76970	−	14.6796i	0.195375	−	0.601301i
$597$	24.2453	+	7.87776i	0.992292	+	0.322415i
$598$	−15.0656	−	20.7360i	−0.616076	−	0.847957i
$599$	−21.2325			−0.867535			−0.433768	−	0.901025i	$-0.642816\pi$
$599$	−21.2325			−0.867535			−0.433768	+	0.901025i	$0.642816\pi$
$600$	−1.97002	+	4.59555i	−0.0804255	+	0.187612i
$601$	−22.6617			−0.924389			−0.462195	−	0.886779i	$-0.652938\pi$
$601$	−22.6617			−0.924389			−0.462195	+	0.886779i	$0.652938\pi$
$602$	5.24961	+	7.22547i	0.213958	+	0.294488i
$603$	6.00099	+	1.94984i	0.244379	+	0.0794036i
$604$	2.47152	−	7.60655i	0.100565	−	0.309506i
$605$	−12.2245	−	44.3867i	−0.496998	−	1.80458i
$606$	−1.18305	−	3.64106i	−0.0480582	−	0.147908i
$607$		−	21.3752i		−	0.867591i	−0.901011	−	0.433796i	$-0.857174\pi$
$607$		−	21.3752i		−	0.867591i	0.901011	−	0.433796i	$-0.142826\pi$
$608$	−7.97455	+	2.59109i	−0.323411	+	0.105083i
$609$	9.18421	+	6.67272i	0.372163	+	0.270392i
$610$	−0.583335	+	0.160656i	−0.0236185	+	0.00650479i
$611$	−12.0377	+	8.74590i	−0.486993	+	0.353821i
$612$	−0.614634	+	0.845972i	−0.0248451	+	0.0341964i
$613$	19.9898	−	27.5136i	0.807380	−	1.11126i	−0.184342	−	0.982862i	$-0.559015\pi$
$613$	19.9898	−	27.5136i	0.807380	−	1.11126i	0.991722	−	0.128401i	$-0.0409845\pi$
$614$	11.4818	−	8.34203i	0.463368	−	0.336657i
$615$	3.30167	+	1.24114i	0.133136	+	0.0500476i
$616$	−12.3185	−	8.94992i	−0.496327	−	0.360603i
$617$	−23.1992	+	7.53787i	−0.933963	+	0.303463i	−0.736182	−	0.676783i	$-0.763373\pi$
$617$	−23.1992	+	7.53787i	−0.933963	+	0.303463i	−0.197781	+	0.980246i	$0.563373\pi$
$618$		−	5.89322i		−	0.237060i
$619$	7.50529	+	23.0989i	0.301663	+	0.928423i	0.980901	+	0.194505i	$0.0623102\pi$
$619$	7.50529	+	23.0989i	0.301663	+	0.928423i	−0.679239	+	0.733918i	$0.737690\pi$
$620$	10.4176	−	6.86866i	0.418382	−	0.275852i
$621$	−1.63618	+	5.03563i	−0.0656575	+	0.202073i
$622$	−9.61915	−	3.12545i	−0.385693	−	0.125319i
$623$	−18.7745	−	25.8409i	−0.752184	−	1.03529i
$624$	4.84082			0.193788
$625$	−17.2381	−	18.1066i	−0.689523	−	0.724264i
$626$	7.00045			0.279794
$627$	27.7006	+	38.1266i	1.10626	+	1.52263i
$628$	−14.8505	−	4.82522i	−0.592599	−	0.192547i
$629$	0.966744	−	2.97533i	0.0385466	−	0.118634i
$630$	5.05745	−	3.33453i	0.201494	−	0.132851i
$631$	0.319506	+	0.983337i	0.0127193	+	0.0391460i	0.957215	−	0.289379i	$-0.0934486\pi$
$631$	0.319506	+	0.983337i	0.0127193	+	0.0391460i	−0.944495	+	0.328525i	$0.893449\pi$
$632$		−	12.4814i		−	0.496484i
$633$	−4.99228	+	1.62209i	−0.198425	+	0.0644723i
$634$	−12.4091	−	9.01577i	−0.492830	−	0.358062i
$635$	−19.9450	−	7.49760i	−0.791494	−	0.297533i
$636$	−4.99738	+	3.63081i	−0.198159	+	0.143971i
$637$	0.965668	−	1.32913i	0.0382612	−	0.0526620i
$638$	13.8434	−	19.0538i	0.548067	−	0.754349i
$639$	−3.66708	+	2.66429i	−0.145067	+	0.105398i
$640$	2.15580	−	0.593730i	0.0852156	−	0.0234692i
$641$	−3.99638	−	2.90354i	−0.157847	−	0.114683i	0.506058	−	0.862499i	$-0.331102\pi$
$641$	−3.99638	−	2.90354i	−0.157847	−	0.114683i	−0.663905	+	0.747817i	$0.731102\pi$
$642$	−5.61845	+	1.82554i	−0.221742	+	0.0720485i
$643$			36.3220i			1.43240i	0.697896	+	0.716199i	$0.254120\pi$
$643$			36.3220i			1.43240i	−0.697896	+	0.716199i	$0.745880\pi$
$644$	4.43261	+	13.6422i	0.174669	+	0.537577i
$645$	1.95734	+	7.10702i	0.0770704	+	0.279839i
$646$	2.70945	−	8.33882i	0.106602	−	0.328086i
$647$	−13.5750	−	4.41077i	−0.533687	−	0.173405i	0.0297610	−	0.999557i	$-0.490525\pi$
$647$	−13.5750	−	4.41077i	−0.533687	−	0.173405i	−0.563448	+	0.826152i	$0.690525\pi$
$648$	−0.587785	−	0.809017i	−0.0230904	−	0.0317812i
$649$	79.7405			3.13009
$650$	−9.53648	+	22.2462i	−0.374052	+	0.872568i
$651$	−15.1181			−0.592524
$652$	2.14970	+	2.95881i	0.0841889	+	0.115876i
$653$	5.48428	+	1.78195i	0.214616	+	0.0697331i	0.414352	−	0.910117i	$-0.364008\pi$
$653$	5.48428	+	1.78195i	0.214616	+	0.0697331i	−0.199736	+	0.979850i	$0.564008\pi$
$654$	−1.74225	+	5.36211i	−0.0681275	+	0.209675i
$655$	0.260176	+	0.207710i	0.0101659	+	0.00811591i
$656$	−0.487453	−	1.50022i	−0.0190318	−	0.0585739i
$657$			8.16098i			0.318390i
$658$	7.91960	−	2.57324i	0.308738	−	0.100315i
$659$	8.14688	+	5.91906i	0.317357	+	0.230574i	0.735047	−	0.678016i	$-0.237160\pi$
$659$	8.14688	+	5.91906i	0.317357	+	0.230574i	−0.417690	+	0.908590i	$0.637160\pi$
$660$	−6.91793	−	10.4923i	−0.269280	−	0.408414i
$661$	29.8762	−	21.7064i	1.16205	−	0.844279i	0.172015	−	0.985094i	$-0.444972\pi$
$661$	29.8762	−	21.7064i	1.16205	−	0.844279i	0.990036	+	0.140815i	$0.0449723\pi$
$662$	−13.8995	+	19.1310i	−0.540218	+	0.743546i
$663$	−2.97533	+	4.09519i	−0.115552	+	0.159044i
$664$	−0.108830	+	0.0790699i	−0.00422344	+	0.00306851i
$665$	−31.6908	+	39.6957i	−1.22892	+	1.53933i
$666$	2.42041	+	1.75853i	0.0937889	+	0.0681416i
$667$	−21.1013	+	6.85622i	−0.817044	+	0.265474i
$668$			6.30307i			0.243873i
$669$	4.57251	+	14.0727i	0.176783	+	0.544084i
$670$	14.0946	+	0.640503i	0.544523	+	0.0247448i
$671$	0.469961	−	1.44639i	0.0181427	−	0.0558373i
$672$	−2.57654	−	0.837167i	−0.0993920	−	0.0322944i
$673$	−15.8901	−	21.8708i	−0.612518	−	0.843059i	0.384263	−	0.923223i	$-0.374455\pi$
$673$	−15.8901	−	21.8708i	−0.612518	−	0.843059i	−0.996782	+	0.0801645i	$0.974455\pi$
$674$	27.7121			1.06743
$675$	4.87582	−	1.10742i	0.187670	−	0.0426245i
$676$	10.4335			0.401289
$677$	−5.08479	−	6.99862i	−0.195425	−	0.268979i	0.700048	−	0.714096i	$-0.253162\pi$
$677$	−5.08479	−	6.99862i	−0.195425	−	0.268979i	−0.895472	+	0.445117i	$0.853162\pi$
$678$	4.81893	+	1.56576i	0.185070	+	0.0601328i
$679$	2.21038	−	6.80284i	0.0848265	−	0.261069i
$680$	−0.822752	+	2.18868i	−0.0315511	+	0.0839319i
$681$	3.67064	+	11.2971i	0.140659	+	0.432904i
$682$			31.3644i			1.20101i
$683$	44.1971	−	14.3605i	1.69115	−	0.549489i	0.704132	−	0.710069i	$-0.251336\pi$
$683$	44.1971	−	14.3605i	1.69115	−	0.549489i	0.987023	+	0.160580i	$0.0513364\pi$
$684$	6.78356	+	4.92854i	0.259376	+	0.188448i
$685$	−0.916037	+	20.1579i	−0.0350000	+	0.770194i
$686$	14.5983	−	10.6063i	0.557365	−	0.404949i
$687$	−10.7313	+	14.7704i	−0.409424	+	0.563524i
$688$	1.93775	−	2.66708i	0.0738759	−	0.101681i
$689$	−24.1914	+	17.5761i	−0.921619	+	0.669596i
$690$	−0.537468	+	11.8273i	−0.0204611	+	0.450257i
$691$	38.2570	+	27.7954i	1.45537	+	1.05739i	0.984540	+	0.175159i	$0.0560440\pi$
$691$	38.2570	+	27.7954i	1.45537	+	1.05739i	0.470826	+	0.882226i	$0.343956\pi$
$692$	−10.1244	+	3.28963i	−0.384874	+	0.125053i
$693$			15.2265i			0.578407i
$694$	−8.24643	−	25.3799i	−0.313030	−	0.963408i
$695$	5.59627	−	14.8871i	0.212278	−	0.564701i
$696$	1.29490	−	3.98530i	0.0490831	−	0.151062i
$697$	1.56875	+	0.509719i	0.0594208	+	0.0193070i
$698$	3.37139	+	4.64032i	0.127609	+	0.175639i
$699$	2.85842			0.108115
$700$	8.92305	−	10.1914i	0.337260	−	0.385197i
$701$	30.1858			1.14010			0.570052	−	0.821609i	$-0.306923\pi$
$701$	30.1858			1.14010			0.570052	+	0.821609i	$0.306923\pi$
$702$	−2.84536	−	3.91630i	−0.107391	−	0.147811i
$703$	−23.8582	−	7.75199i	−0.899828	−	0.292372i
$704$	−1.73681	+	5.34536i	−0.0654586	+	0.201461i
$705$	6.86601	+	0.312012i	0.258589	+	0.0117511i
$706$	−8.99327	−	27.6785i	−0.338466	−	1.04169i
$707$			10.3717i			0.390069i
$708$	13.4932	−	4.38420i	0.507105	−	0.164768i
$709$	−14.0202	−	10.1862i	−0.526538	−	0.382553i	0.292523	−	0.956259i	$-0.405505\pi$
$709$	−14.0202	−	10.1862i	−0.526538	−	0.382553i	−0.819061	+	0.573706i	$0.805505\pi$
$710$	−6.32363	+	7.92094i	−0.237322	+	0.297268i
$711$	−10.0977	+	7.33640i	−0.378693	+	0.275136i
$712$	−6.93008	+	9.53844i	−0.259716	+	0.357468i
$713$	17.3673	−	23.9041i	0.650412	−	0.895215i
$714$	2.29185	−	1.66512i	0.0857702	−	0.0623157i
$715$	−33.4884	−	50.7915i	−1.25240	−	1.89950i
$716$	0.646651	+	0.469819i	0.0241665	+	0.0175580i
$717$	15.5819	−	5.06286i	0.581917	−	0.189076i
$718$		−	12.9895i		−	0.484765i
$719$	5.82077	+	17.9145i	0.217078	+	0.668098i	0.999000	+	0.0447207i	$0.0142398\pi$
$719$	5.82077	+	17.9145i	0.217078	+	0.668098i	−0.781921	+	0.623377i	$0.785760\pi$
$720$	−1.74749	−	1.39510i	−0.0651250	−	0.0519921i
$721$	−4.93361	+	15.1841i	−0.183737	+	0.565485i
$722$	−48.7961	−	15.8548i	−1.81600	−	0.590055i
$723$	−15.4750	−	21.2995i	−0.575520	−	0.792136i
$724$	16.3240			0.606676
$725$	15.7636	+	13.8019i	0.585447	+	0.512589i
$726$	20.5894			0.764144
$727$	12.5396	+	17.2593i	0.465068	+	0.640111i	0.975550	−	0.219777i	$-0.0705331\pi$
$727$	12.5396	+	17.2593i	0.465068	+	0.640111i	−0.510482	+	0.859888i	$0.670533\pi$
$728$	−12.4725	−	4.05257i	−0.462263	−	0.150198i
$729$	−0.309017	+	0.951057i	−0.0114451	+	0.0352243i
$730$	4.84542	+	17.5935i	0.179337	+	0.651164i
$731$	1.06527	+	3.27856i	0.0394004	+	0.121262i
$732$		−	0.270588i		−	0.0100012i
$733$	19.8497	−	6.44956i	0.733165	−	0.238220i	0.0814434	−	0.996678i	$-0.474047\pi$
$733$	19.8497	−	6.44956i	0.733165	−	0.238220i	0.651722	+	0.758458i	$0.274047\pi$
$734$	−2.98371	−	2.16779i	−0.110131	−	0.0800147i
$735$	−0.731644	+	0.201502i	−0.0269871	+	0.00743251i
$736$	4.28357	−	3.11219i	0.157894	−	0.114717i
$737$	−20.8452	+	28.6909i	−0.767842	+	1.05684i
$738$	−0.927190	+	1.27617i	−0.0341303	+	0.0469764i
$739$	−13.1129	+	9.52707i	−0.482365	+	0.350459i	−0.802241	−	0.597001i	$-0.796359\pi$
$739$	−13.1129	+	9.52707i	−0.482365	+	0.350459i	0.319875	+	0.947460i	$0.396359\pi$
$740$	6.26201	+	2.35397i	0.230196	+	0.0865338i
$741$	32.8380	+	23.8582i	1.20633	+	0.876452i
$742$	15.9155	−	5.17127i	0.584277	−	0.189843i
$743$			34.7758i			1.27580i	0.770120	+	0.637900i	$0.220197\pi$
$743$			34.7758i			1.27580i	−0.770120	+	0.637900i	$0.779803\pi$
$744$	1.72444	+	5.30729i	0.0632212	+	0.194575i
$745$	−28.8145	+	18.9983i	−1.05568	+	0.696043i
$746$	−8.03593	+	24.7321i	−0.294216	+	0.905505i
$747$	0.127938	+	0.0415695i	0.00468100	+	0.00152095i
$748$	−3.45452	−	4.75474i	−0.126310	−	0.173850i
$749$	16.0044			0.584788
$750$	9.85380	−	5.28229i	0.359810	−	0.192882i
$751$	21.2393			0.775034			0.387517	−	0.921863i	$-0.373333\pi$
$751$	21.2393			0.775034			0.387517	+	0.921863i	$0.373333\pi$
$752$	−1.80670	−	2.48671i	−0.0658836	−	0.0906809i
$753$	−13.1584	−	4.27543i	−0.479520	−	0.155805i
$754$	6.26838	−	19.2921i	0.228281	−	0.702577i
$755$	−14.9308	+	9.84435i	−0.543388	+	0.358272i
$756$	0.837167	+	2.57654i	0.0304475	+	0.0937077i
$757$			53.9563i			1.96107i	0.196335	+	0.980537i	$0.437096\pi$
$757$			53.9563i			1.96107i	−0.196335	+	0.980537i	$0.562904\pi$
$758$	28.6887	−	9.32153i	1.04202	−	0.338573i
$759$	−24.0755	−	17.4919i	−0.873887	−	0.634916i
$760$	17.5502	+	6.59737i	0.636614	+	0.239312i
$761$	34.2990	−	24.9197i	1.24334	−	0.903339i	0.245523	−	0.969391i	$-0.421040\pi$
$761$	34.2990	−	24.9197i	1.24334	−	0.903339i	0.997816	+	0.0660520i	$0.0210403\pi$
$762$	5.60106	−	7.70919i	0.202905	−	0.279275i
$763$	8.97796	−	12.3571i	0.325024	−	0.447357i
$764$	−12.5641	+	9.12835i	−0.454553	+	0.330252i
$765$	2.25428	−	0.620851i	0.0815035	−	0.0224469i
$766$	10.8125	+	7.85574i	0.390672	+	0.283840i
$767$	65.3181	−	21.2231i	2.35850	−	0.766323i
$768$			1.00000i			0.0360844i
$769$	−1.55943	−	4.79943i	−0.0562345	−	0.173072i	0.918994	−	0.394271i	$-0.129003\pi$
$769$	−1.55943	−	4.79943i	−0.0562345	−	0.173072i	−0.975229	+	0.221199i	$0.929003\pi$
$770$	9.04044	+	32.8254i	0.325795	+	1.18294i
$771$	8.84420	−	27.2197i	0.318516	−	0.980292i
$772$	19.9914	+	6.49559i	0.719506	+	0.233782i
$773$	−20.4840	−	28.1938i	−0.736758	−	1.01406i	−0.998799	−	0.0490036i	$-0.984395\pi$
$773$	−20.4840	−	28.1938i	−0.736758	−	1.01406i	0.262041	−	0.965057i	$-0.415605\pi$
$774$	−3.29669			−0.118497
$775$	−27.7871	−	2.53069i	−0.998142	−	0.0909050i
$776$	−2.64031			−0.0947815
$777$	−4.76409	−	6.55720i	−0.170911	−	0.235238i
$778$	−9.22554	−	2.99756i	−0.330752	−	0.107468i
$779$	4.08726	−	12.5793i	0.146441	−	0.450700i
$780$	−8.45926	−	6.75340i	−0.302890	−	0.241811i
$781$	−7.87256	−	24.2292i	−0.281702	−	0.866990i
$782$			5.53664i			0.197990i
$783$	−3.98530	+	1.29490i	−0.142423	+	0.0462760i
$784$	0.274567	+	0.199485i	0.00980596	+	0.00712445i
$785$	19.2194	+	29.1498i	0.685969	+	1.04040i
$786$	−0.120451	+	0.0875130i	−0.00429635	+	0.00312148i
$787$	9.42980	−	12.9790i	0.336136	−	0.462652i	−0.607172	−	0.794571i	$-0.707696\pi$
$787$	9.42980	−	12.9790i	0.336136	−	0.462652i	0.943308	+	0.331919i	$0.107696\pi$
$788$	14.1994	−	19.5438i	0.505832	−	0.696218i
$789$	2.52661	−	1.83569i	0.0899497	−	0.0653523i
$790$	−17.4128	+	21.8111i	−0.619519	+	0.776005i
$791$	−11.1053	−	8.06850i	−0.394860	−	0.286883i
$792$	5.34536	−	1.73681i	0.189939	−	0.0617150i
$793$		−	1.30987i		−	0.0465148i
$794$	2.44508	+	7.52519i	0.0867728	+	0.267059i
$795$	13.7982	+	0.627032i	0.489371	+	0.0222385i
$796$	−7.87776	+	24.2453i	−0.279220	+	0.859350i
$797$	35.4218	+	11.5093i	1.25471	+	0.407679i	0.859605	−	0.510959i	$-0.170710\pi$
$797$	35.4218	+	11.5093i	1.25471	+	0.407679i	0.395101	+	0.918638i	$0.370710\pi$
$798$	−13.3521	−	18.3775i	−0.472658	−	0.650558i
$799$	3.21415			0.113708
$800$	−4.59555	−	1.97002i	−0.162477	−	0.0696506i
$801$	11.7902			0.416585
$802$	−11.8358	−	16.2905i	−0.417935	−	0.575239i
$803$	−43.6234	−	14.1741i	−1.53944	−	0.500193i
$804$	−1.94984	+	6.00099i	−0.0687655	+	0.211638i
$805$	11.2862	−	30.0235i	0.397787	−	1.05819i
$806$	8.34772	+	25.6916i	0.294036	+	0.904949i
$807$		−	9.23200i		−	0.324982i
$808$	3.64106	−	1.18305i	0.128092	−	0.0416196i
$809$	−6.97671	−	5.06888i	−0.245288	−	0.178212i	0.458348	−	0.888773i	$-0.348441\pi$
$809$	−6.97671	−	5.06888i	−0.245288	−	0.178212i	−0.703636	+	0.710561i	$0.748441\pi$
$810$	−0.101509	+	2.23376i	−0.00356666	+	0.0784864i
$811$	−0.148704	+	0.108040i	−0.00522171	+	0.00379379i	−0.590393	−	0.807116i	$-0.701027\pi$
$811$	−0.148704	+	0.108040i	−0.00522171	+	0.00379379i	0.585171	+	0.810910i	$0.301027\pi$
$812$	−6.67272	+	9.18421i	−0.234167	+	0.322303i
$813$	−12.7458	+	17.5431i	−0.447016	+	0.615265i
$814$	−13.6038	+	9.88372i	−0.476812	+	0.346424i
$815$	0.371248	−	8.16953i	0.0130043	−	0.286166i
$816$	−0.845972	−	0.614634i	−0.0296149	−	0.0215165i
$817$	26.2897	−	8.54203i	0.919758	−	0.298848i
$818$		−	2.80742i		−	0.0981591i
$819$	4.05257	+	12.4725i	0.141608	+	0.435826i
$820$	−1.24114	+	3.30167i	−0.0433425	+	0.115299i
$821$	8.46892	−	26.0647i	0.295567	−	0.909663i	−0.687463	−	0.726220i	$-0.741276\pi$
$821$	8.46892	−	26.0647i	0.295567	−	0.909663i	0.983030	−	0.183443i	$-0.0587244\pi$
$822$	−8.58252	−	2.78863i	−0.299350	−	0.0972646i
$823$	19.1609	+	26.3728i	0.667908	+	0.919296i	0.999711	−	0.0240525i	$-0.00765687\pi$
$823$	19.1609	+	26.3728i	0.667908	+	0.919296i	−0.331803	+	0.943349i	$0.607657\pi$
$824$	5.89322			0.205300
$825$	−2.54884	+	27.9864i	−0.0887392	+	0.974361i
$826$	−38.4360			−1.33736
$827$	22.6934	+	31.2347i	0.789125	+	1.08614i	0.994216	+	0.107395i	$0.0342510\pi$
$827$	22.6934	+	31.2347i	0.789125	+	1.08614i	−0.205091	+	0.978743i	$0.565749\pi$
$828$	−5.03563	−	1.63618i	−0.175000	−	0.0568611i
$829$	−11.1557	+	34.3338i	−0.387455	+	1.19246i	0.547229	+	0.836983i	$0.315683\pi$
$829$	−11.1557	+	34.3338i	−0.387455	+	1.19246i	−0.934684	+	0.355480i	$0.884317\pi$
$830$	0.300490	+	0.0136552i	0.0104302	+	0.000473978i
$831$	−3.18135	−	9.79119i	−0.110360	−	0.339653i
$832$			4.84082i			0.167825i
$833$	−0.337517	+	0.109666i	−0.0116943	+	0.00379969i
$834$	5.75420	+	4.18067i	0.199252	+	0.144765i
$835$	8.79339	−	11.0145i	0.304308	−	0.381174i
$836$	−38.1266	+	27.7006i	−1.31864	+	0.958046i
$837$	3.28009	−	4.51465i	0.113376	−	0.156049i
$838$	−19.5122	+	26.8562i	−0.674038	+	0.927733i
$839$	26.7665	−	19.4470i	0.924081	−	0.671384i	−0.0204558	−	0.999791i	$-0.506512\pi$
$839$	26.7665	−	19.4470i	0.924081	−	0.671384i	0.944536	+	0.328407i	$0.106512\pi$
$840$	3.33453	+	5.05745i	0.115052	+	0.174499i
$841$	9.25567	+	6.72464i	0.319161	+	0.231884i
$842$	18.2009	−	5.91384i	0.627246	−	0.203804i
$843$		−	0.798542i		−	0.0275033i
$844$	−1.62209	−	4.99228i	−0.0558347	−	0.171841i
$845$	−18.2324	−	14.5557i	−0.627214	−	0.500733i
$846$	−0.949838	+	2.92330i	−0.0326561	+	0.100505i
$847$	−53.0493	−	17.2368i	−1.82280	−	0.592262i
$848$	−3.63081	−	4.99738i	−0.124683	−	0.171611i
$849$	−0.730642			−0.0250756
$850$	4.49116	−	2.67686i	0.154045	−	0.0918156i
$851$	15.8409			0.543018
$852$	−2.66429	−	3.66708i	−0.0912771	−	0.125632i
$853$	−19.1614	−	6.22591i	−0.656073	−	0.213171i	−0.0379832	−	0.999278i	$-0.512093\pi$
$853$	−19.1614	−	6.22591i	−0.656073	−	0.213171i	−0.618090	+	0.786107i	$0.712093\pi$
$854$	−0.226528	+	0.697180i	−0.00775162	+	0.0238570i
$855$	−4.97839	−	18.0763i	−0.170257	−	0.618196i
$856$	−1.82554	−	5.61845i	−0.0623958	−	0.192035i
$857$		−	55.8400i		−	1.90746i	−0.300668	−	0.953729i	$-0.597210\pi$
$857$		−	55.8400i		−	1.90746i	0.300668	−	0.953729i	$-0.402790\pi$
$858$	25.8759	−	8.40759i	0.883389	−	0.287031i
$859$	−41.2044	−	29.9368i	−1.40588	−	1.02143i	−0.993906	−	0.110232i	$-0.964841\pi$
$859$	−41.2044	−	29.9368i	−1.40588	−	1.02143i	−0.411971	−	0.911197i	$-0.635159\pi$
$860$	−7.10702	+	1.95734i	−0.242347	+	0.0667449i
$861$	3.45730	−	2.51188i	0.117825	−	0.0856046i
$862$	11.7741	−	16.2057i	0.401029	−	0.551969i
$863$	−16.2660	+	22.3882i	−0.553701	+	0.762104i	−0.990509	−	0.137451i	$-0.956109\pi$
$863$	−16.2660	+	22.3882i	−0.553701	+	0.762104i	0.436808	+	0.899555i	$0.356109\pi$
$864$	0.809017	−	0.587785i	0.0275233	−	0.0199969i
$865$	22.2817	+	8.37598i	0.757600	+	0.284792i
$866$	26.1812	+	19.0217i	0.889672	+	0.646385i
$867$	−15.1280	+	4.91540i	−0.513775	+	0.166936i
$868$		−	15.1181i		−	0.513141i
$869$	−21.6779	−	66.7177i	−0.735372	−	2.26324i
$870$	−7.82269	+	5.15774i	−0.265214	+	0.174864i
$871$	−9.43881	+	29.0497i	−0.319822	+	0.984311i
$872$	−5.36211	−	1.74225i	−0.181584	−	0.0590002i
$873$	1.55193	+	2.13605i	0.0525250	+	0.0722944i
$874$	44.3964			1.50173
$875$	−29.8108	+	5.36074i	−1.00779	+	0.181226i
$876$	−8.16098			−0.275734
$877$	19.7507	+	27.1845i	0.666934	+	0.917956i	0.999686	−	0.0250581i	$-0.00797707\pi$
$877$	19.7507	+	27.1845i	0.666934	+	0.917956i	−0.332752	+	0.943015i	$0.607977\pi$
$878$	16.4790	+	5.35434i	0.556138	+	0.180700i
$879$	−5.71193	+	17.5795i	−0.192659	+	0.592942i
$880$	10.4923	−	6.91793i	0.353697	−	0.233203i
$881$	0.801894	+	2.46798i	0.0270165	+	0.0831482i	0.963656	−	0.267147i	$-0.0860811\pi$
$881$	0.801894	+	2.46798i	0.0270165	+	0.0831482i	−0.936639	+	0.350296i	$0.886081\pi$
$882$		−	0.339383i		−	0.0114276i
$883$	38.0222	−	12.3541i	1.27955	−	0.415750i	0.411127	−	0.911578i	$-0.365135\pi$
$883$	38.0222	−	12.3541i	1.27955	−	0.415750i	0.868421	+	0.495828i	$0.165135\pi$
$884$	−4.09519	−	2.97533i	−0.137736	−	0.100071i
$885$	−29.6955	−	11.1629i	−0.998205	−	0.375238i
$886$	13.3752	−	9.71764i	0.449348	−	0.326470i
$887$	−12.8634	+	17.7050i	−0.431911	+	0.594475i	−0.968391	−	0.249439i	$-0.919754\pi$
$887$	−12.8634	+	17.7050i	−0.431911	+	0.594475i	0.536480	+	0.843913i	$0.319754\pi$
$888$	−1.75853	+	2.42041i	−0.0590124	+	0.0812236i
$889$	−20.8852	+	15.1740i	−0.700467	+	0.508919i
$890$	25.4172	−	7.00017i	0.851988	−	0.234646i
$891$	−4.54704	−	3.30361i	−0.152331	−	0.110675i
$892$	−14.0727	+	4.57251i	−0.471190	+	0.153099i
$893$		−	25.7731i		−	0.862465i
$894$	−4.76970	−	14.6796i	−0.159523	−	0.490961i
$895$	−0.474571	−	1.72314i	−0.0158632	−	0.0575983i
$896$	0.837167	−	2.57654i	0.0279678	−	0.0860760i
$897$	−24.3766	−	7.92043i	−0.813910	−	0.264456i
$898$	−1.47704	−	2.03297i	−0.0492895	−	0.0678412i
$899$	23.3841			0.779904
$900$	1.10742	+	4.87582i	0.0369139	+	0.162527i
$901$	6.45927			0.215189
$902$	−5.21122	−	7.17263i	−0.173515	−	0.238822i
$903$	8.49405	+	2.75988i	0.282664	+	0.0918431i
$904$	−1.56576	+	4.81893i	−0.0520766	+	0.160275i
$905$	−28.5259	−	22.7735i	−0.948234	−	0.757017i
$906$	−2.47152	−	7.60655i	−0.0821107	−	0.252711i
$907$		−	22.6784i		−	0.753025i	−0.926412	−	0.376512i	$-0.877123\pi$
$907$		−	22.6784i		−	0.753025i	0.926412	−	0.376512i	$-0.122877\pi$
$908$	−11.2971	+	3.67064i	−0.374906	+	0.121814i
$909$	−3.09727	−	2.25030i	−0.102730	−	0.0746377i
$910$	16.1419	+	24.4822i	0.535098	+	0.811577i
$911$	−39.1006	+	28.4082i	−1.29546	+	0.941207i	−0.999900	−	0.0141173i	$-0.995506\pi$
$911$	−39.1006	+	28.4082i	−1.29546	+	0.941207i	−0.295560	+	0.955324i	$0.595506\pi$
$912$	−4.92854	+	6.78356i	−0.163200	+	0.224626i
$913$	−0.444408	+	0.611676i	−0.0147078	+	0.0202435i
$914$	−29.7465	+	21.6121i	−0.983925	+	0.714863i
$915$	−0.377496	+	0.472849i	−0.0124796	+	0.0156319i
$916$	−14.7704	−	10.7313i	−0.488026	−	0.354572i
$917$	0.383610	−	0.124642i	0.0126679	−	0.00411606i
$918$			1.04568i			0.0345125i
$919$	13.3112	+	40.9678i	0.439097	+	1.35140i	0.888829	+	0.458239i	$0.151519\pi$
$919$	13.3112	+	40.9678i	0.439097	+	1.35140i	−0.449732	+	0.893164i	$0.648481\pi$
$920$	−11.8273	−	0.537468i	−0.389934	−	0.0177198i
$921$	4.38566	−	13.4977i	0.144513	−	0.444764i
$922$	−5.77356	−	1.87594i	−0.190142	−	0.0617809i
$923$	−12.8973	−	17.7517i	−0.424521	−	0.584303i
$924$	−15.2265			−0.500916
$925$	−7.65877	−	12.8496i	−0.251819	−	0.422494i
$926$	−33.3123			−1.09471
$927$	−3.46395	−	4.76772i	−0.113771	−	0.156592i
$928$	3.98530	+	1.29490i	0.130824	+	0.0425072i
$929$	11.7192	−	36.0680i	0.384495	−	1.18335i	−0.552351	−	0.833612i	$-0.686269\pi$
$929$	11.7192	−	36.0680i	0.384495	−	1.18335i	0.936846	−	0.349742i	$-0.113731\pi$
$930$	4.39074	−	11.6802i	0.143978	−	0.383008i
$931$	0.879373	+	2.70643i	0.0288203	+	0.0886997i
$932$			2.85842i			0.0936307i
$933$	−9.61915	+	3.12545i	−0.314917	+	0.102323i
$934$	7.39159	+	5.37030i	0.241860	+	0.175722i
$935$	−0.596587	+	13.1282i	−0.0195105	+	0.429339i
$936$	3.91630	−	2.84536i	0.128008	−	0.0930035i
$937$	−9.74401	+	13.4115i	−0.318323	+	0.438134i	−0.937954	−	0.346759i	$-0.887282\pi$
$937$	−9.74401	+	13.4115i	−0.318323	+	0.438134i	0.619631	+	0.784893i	$0.287282\pi$
$938$	10.0477	−	13.8294i	0.328068	−	0.451546i
$939$	5.66348	−	4.11476i	0.184821	−	0.134280i
$940$	−0.312012	+	6.86601i	−0.0101767	+	0.223945i
$941$	−20.7160	−	15.0510i	−0.675321	−	0.490650i	0.196481	−	0.980508i	$-0.437049\pi$
$941$	−20.7160	−	15.0510i	−0.675321	−	0.490650i	−0.871802	+	0.489858i	$0.837049\pi$
$942$	−14.8505	+	4.82522i	−0.483855	+	0.157214i
$943$			8.35214i			0.271983i
$944$	4.38420	+	13.4932i	0.142694	+	0.439166i
$945$	2.13157	−	5.67039i	0.0693401	−	0.184458i
$946$	5.72574	−	17.6220i	0.186160	−	0.572941i
$947$	18.9867	+	6.16914i	0.616984	+	0.200470i	0.600801	−	0.799399i	$-0.294849\pi$
$947$	18.9867	+	6.16914i	0.616984	+	0.200470i	0.0161830	+	0.999869i	$0.494849\pi$
$948$	−7.33640	−	10.0977i	−0.238275	−	0.327957i
$949$	−39.5058			−1.28241
$950$	−21.4649	−	36.0131i	−0.696412	−	1.16842i
$951$	−15.3385			−0.497386
$952$	1.66512	+	2.29185i	0.0539670	+	0.0742792i
$953$	42.9246	+	13.9470i	1.39046	+	0.451789i	0.906094	−	0.423075i	$-0.139049\pi$
$953$	42.9246	+	13.9470i	1.39046	+	0.451789i	0.484368	+	0.874864i	$0.339049\pi$
$954$	−1.90883	+	5.87478i	−0.0618007	+	0.190203i
$955$	34.6905	+	1.57644i	1.12256	+	0.0510125i
$956$	5.06286	+	15.5819i	0.163745	+	0.503955i
$957$		−	23.5519i		−	0.761323i
$958$	−19.8399	+	6.44637i	−0.640997	+	0.208273i
$959$	19.7786	+	14.3700i	0.638685	+	0.464031i
$960$	1.39510	−	1.74749i	0.0450265	−	0.0563999i
$961$	−0.114121	+	0.0829138i	−0.00368132	+	0.00267464i
$962$	−8.51272	+	11.7168i	−0.274461	+	0.377763i
$963$	−3.47239	+	4.77934i	−0.111896	+	0.154012i
$964$	21.2995	−	15.4750i	0.686010	−	0.498415i
$965$	−25.8727	−	39.2408i	−0.832872	−	1.26321i
$966$	11.6047	+	8.43133i	0.373376	+	0.271274i
$967$	7.46499	−	2.42552i	0.240058	−	0.0779995i	−0.186517	−	0.982452i	$-0.559720\pi$
$967$	7.46499	−	2.42552i	0.240058	−	0.0779995i	0.426575	+	0.904452i	$0.359720\pi$
$968$			20.5894i			0.661768i
$969$	−2.70945	−	8.33882i	−0.0870400	−	0.267881i
$970$	4.61390	+	3.68348i	0.148143	+	0.118269i
$971$	1.32948	−	4.09171i	0.0426649	−	0.131309i	−0.927455	−	0.373934i	$-0.878009\pi$
$971$	1.32948	−	4.09171i	0.0426649	−	0.131309i	0.970120	+	0.242625i	$0.0780085\pi$
$972$	−0.951057	−	0.309017i	−0.0305052	−	0.00991172i
$973$	−11.3260	−	15.5889i	−0.363095	−	0.499757i
$974$	−1.27292			−0.0407869
$975$	5.36081	+	23.6030i	0.171683	+	0.755900i
$976$	0.270588			0.00866132
$977$	0.250593	+	0.344912i	0.00801720	+	0.0110347i	0.813007	−	0.582254i	$-0.197829\pi$
$977$	0.250593	+	0.344912i	0.00801720	+	0.0110347i	−0.804990	+	0.593289i	$0.797829\pi$
$978$	3.47829	+	1.13017i	0.111224	+	0.0361387i
$979$	−20.4773	+	63.0226i	−0.654457	+	2.01421i
$980$	−0.201502	−	0.731644i	−0.00643675	−	0.0233715i
$981$	1.74225	+	5.36211i	0.0556259	+	0.171199i
$982$		−	10.6983i		−	0.341395i
$983$	56.6743	−	18.4146i	1.80763	−	0.587335i	0.807634	−	0.589685i	$-0.200748\pi$
$983$	56.6743	−	18.4146i	1.80763	−	0.587335i	0.999997	+	0.00234965i	$0.000747917\pi$
$984$	−1.27617	−	0.927190i	−0.0406827	−	0.0295577i
$985$	−52.0786	+	14.3430i	−1.65936	+	0.457005i
$986$	−3.54495	+	2.57556i	−0.112894	+	0.0820225i
$987$	4.89458	−	6.73682i	0.155796	−	0.214435i
$988$	−23.8582	+	32.8380i	−0.759030	+	1.04472i
$989$	−14.1216	+	10.2599i	−0.449041	+	0.326247i
$990$	−11.7640	−	4.42223i	−0.373883	−	0.140548i
$991$	−17.7809	−	12.9186i	−0.564830	−	0.410373i	0.268393	−	0.963309i	$-0.413507\pi$
$991$	−17.7809	−	12.9186i	−0.564830	−	0.410373i	−0.833224	+	0.552936i	$0.813507\pi$
$992$	−5.30729	+	1.72444i	−0.168507	+	0.0547511i
$993$			23.6472i			0.750420i
$994$	3.79468	+	11.6788i	0.120360	+	0.370430i
$995$	47.5907	−	31.3780i	1.50873	−	0.994750i
$996$	−0.0415695	+	0.127938i	−0.00131718	+	0.00405387i
$997$	42.6506	+	13.8580i	1.35076	+	0.438887i	0.892947	−	0.450163i	$-0.148634\pi$
$997$	42.6506	+	13.8580i	1.35076	+	0.438887i	0.457810	+	0.889050i	$0.348634\pi$
$998$	4.16172	+	5.72812i	0.131737	+	0.181320i
$999$	2.99179			0.0946560

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	150.2.h.b.139.4	yes	16
3.2	odd	2		450.2.l.c.289.1		16
5.2	odd	4		750.2.g.f.301.3		16
5.3	odd	4		750.2.g.g.301.2		16
5.4	even	2		750.2.h.d.199.2		16
25.3	odd	20		3750.2.a.u.1.3		8
25.4	even	10		3750.2.c.k.1249.14		16
25.9	even	10	inner	150.2.h.b.109.4	✓	16
25.12	odd	20		750.2.g.f.451.3		16
25.13	odd	20		750.2.g.g.451.2		16
25.16	even	5		750.2.h.d.49.1		16
25.21	even	5		3750.2.c.k.1249.3		16
25.22	odd	20		3750.2.a.v.1.6		8
75.59	odd	10		450.2.l.c.109.1		16

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
150.2.h.b.109.4	✓	16	25.9	even	10	inner
150.2.h.b.139.4	yes	16	1.1	even	1	trivial
450.2.l.c.109.1		16	75.59	odd	10
450.2.l.c.289.1		16	3.2	odd	2
750.2.g.f.301.3		16	5.2	odd	4
750.2.g.f.451.3		16	25.12	odd	20
750.2.g.g.301.2		16	5.3	odd	4
750.2.g.g.451.2		16	25.13	odd	20
750.2.h.d.49.1		16	25.16	even	5
750.2.h.d.199.2		16	5.4	even	2
3750.2.a.u.1.3		8	25.3	odd	20
3750.2.a.v.1.6		8	25.22	odd	20
3750.2.c.k.1249.3		16	25.21	even	5
3750.2.c.k.1249.14		16	25.4	even	10

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:	\( N \)	\(=\)	\( 150 = 2 \cdot 3 \cdot 5^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	150.h (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.587785 + 0.809017i) q^{2} +(0.951057 + 0.309017i) q^{3} +(-0.309017 + 0.951057i) q^{4} +(1.86682 - 1.23085i) q^{5} +(0.309017 + 0.951057i) q^{6} -2.70913i q^{7} +(-0.951057 + 0.309017i) q^{8} +(0.809017 + 0.587785i) q^{9} +O(q^{10})\)	\(q+(0.587785 + 0.809017i) q^{2} +(0.951057 + 0.309017i) q^{3} +(-0.309017 + 0.951057i) q^{4} +(1.86682 - 1.23085i) q^{5} +(0.309017 + 0.951057i) q^{6} -2.70913i q^{7} +(-0.951057 + 0.309017i) q^{8} +(0.809017 + 0.587785i) q^{9} +(2.09307 + 0.786811i) q^{10} +(-4.54704 + 3.30361i) q^{11} +(-0.587785 + 0.809017i) q^{12} +(-2.84536 + 3.91630i) q^{13} +(2.19173 - 1.59239i) q^{14} +(2.15580 - 0.593730i) q^{15} +(-0.809017 - 0.587785i) q^{16} +(0.994499 - 0.323132i) q^{17} +1.00000i q^{18} +(-2.59109 - 7.97455i) q^{19} +(0.593730 + 2.15580i) q^{20} +(0.837167 - 2.57654i) q^{21} +(-5.34536 - 1.73681i) q^{22} +(3.11219 + 4.28357i) q^{23} -1.00000 q^{24} +(1.97002 - 4.59555i) q^{25} -4.84082 q^{26} +(0.587785 + 0.809017i) q^{27} +(2.57654 + 0.837167i) q^{28} +(-1.29490 + 3.98530i) q^{29} +(1.74749 + 1.39510i) q^{30} +(-1.72444 - 5.30729i) q^{31} -1.00000i q^{32} +(-5.34536 + 1.73681i) q^{33} +(0.845972 + 0.614634i) q^{34} +(-3.33453 - 5.05745i) q^{35} +(-0.809017 + 0.587785i) q^{36} +(1.75853 - 2.42041i) q^{37} +(4.92854 - 6.78356i) q^{38} +(-3.91630 + 2.84536i) q^{39} +(-1.39510 + 1.74749i) q^{40} +(1.27617 + 0.927190i) q^{41} +(2.57654 - 0.837167i) q^{42} +3.29669i q^{43} +(-1.73681 - 5.34536i) q^{44} +(2.23376 + 0.101509i) q^{45} +(-1.63618 + 5.03563i) q^{46} +(2.92330 + 0.949838i) q^{47} +(-0.587785 - 0.809017i) q^{48} -0.339383 q^{49} +(4.87582 - 1.10742i) q^{50} +1.04568 q^{51} +(-2.84536 - 3.91630i) q^{52} +(5.87478 + 1.90883i) q^{53} +(-0.309017 + 0.951057i) q^{54} +(-4.42223 + 11.7640i) q^{55} +(0.837167 + 2.57654i) q^{56} -8.38494i q^{57} +(-3.98530 + 1.29490i) q^{58} +(-11.4780 - 8.33925i) q^{59} +(-0.101509 + 2.23376i) q^{60} +(-0.218911 + 0.159048i) q^{61} +(3.28009 - 4.51465i) q^{62} +(1.59239 - 2.19173i) q^{63} +(0.809017 - 0.587785i) q^{64} +(-0.491387 + 10.8132i) q^{65} +(-4.54704 - 3.30361i) q^{66} +(6.00099 - 1.94984i) q^{67} +1.04568i q^{68} +(1.63618 + 5.03563i) q^{69} +(2.13157 - 5.67039i) q^{70} +(-1.40070 + 4.31091i) q^{71} +(-0.951057 - 0.309017i) q^{72} +(4.79691 + 6.60237i) q^{73} +2.99179 q^{74} +(3.29370 - 3.76186i) q^{75} +8.38494 q^{76} +(8.94992 + 12.3185i) q^{77} +(-4.60389 - 1.49589i) q^{78} +(-3.85697 + 11.8705i) q^{79} +(-2.23376 - 0.101509i) q^{80} +(0.309017 + 0.951057i) q^{81} +1.57743i q^{82} +(0.127938 - 0.0415695i) q^{83} +(2.19173 + 1.59239i) q^{84} +(1.45882 - 1.82731i) q^{85} +(-2.66708 + 1.93775i) q^{86} +(-2.46305 + 3.39010i) q^{87} +(3.30361 - 4.54704i) q^{88} +(9.53844 - 6.93008i) q^{89} +(1.23085 + 1.86682i) q^{90} +(10.6098 + 7.70845i) q^{91} +(-5.03563 + 1.63618i) q^{92} -5.58042i q^{93} +(0.949838 + 2.92330i) q^{94} +(-14.6526 - 11.6978i) q^{95} +(0.309017 - 0.951057i) q^{96} +(2.51108 + 0.815900i) q^{97} +(-0.199485 - 0.274567i) q^{98} -5.62045 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 16 q + 4 q^{4} + 4 q^{5} - 4 q^{6} + 4 q^{9}+O(q^{10}) \) 16 * q + 4 * q^4 + 4 * q^5 - 4 * q^6 + 4 * q^9	\( 16 q + 4 q^{4} + 4 q^{5} - 4 q^{6} + 4 q^{9} + 2 q^{10} + 2 q^{11} + 20 q^{13} + 2 q^{14} - 2 q^{15} - 4 q^{16} - 30 q^{17} - 4 q^{20} - 2 q^{21} - 20 q^{22} - 10 q^{23} - 16 q^{24} + 24 q^{25} + 4 q^{26} - 10 q^{29} - 6 q^{30} - 18 q^{31} - 20 q^{33} + 12 q^{34} - 34 q^{35} - 4 q^{36} + 20 q^{37} + 10 q^{38} - 4 q^{39} - 2 q^{40} + 22 q^{41} + 8 q^{44} - 4 q^{45} - 6 q^{46} - 50 q^{47} - 52 q^{49} + 12 q^{50} + 28 q^{51} + 20 q^{52} + 30 q^{53} + 4 q^{54} + 18 q^{55} - 2 q^{56} - 30 q^{58} + 20 q^{59} + 2 q^{60} + 12 q^{61} + 50 q^{62} + 10 q^{63} + 4 q^{64} - 8 q^{65} + 2 q^{66} - 50 q^{67} + 6 q^{69} - 12 q^{70} - 28 q^{71} + 20 q^{73} + 12 q^{74} + 28 q^{75} + 20 q^{76} + 100 q^{77} - 20 q^{79} + 4 q^{80} - 4 q^{81} - 30 q^{83} + 2 q^{84} - 4 q^{85} - 6 q^{86} + 10 q^{87} + 70 q^{89} + 8 q^{90} + 12 q^{91} - 30 q^{92} + 2 q^{94} - 30 q^{95} - 4 q^{96} - 10 q^{97} + 60 q^{98} - 12 q^{99}+O(q^{100}) \) 16 * q + 4 * q^4 + 4 * q^5 - 4 * q^6 + 4 * q^9 + 2 * q^10 + 2 * q^11 + 20 * q^13 + 2 * q^14 - 2 * q^15 - 4 * q^16 - 30 * q^17 - 4 * q^20 - 2 * q^21 - 20 * q^22 - 10 * q^23 - 16 * q^24 + 24 * q^25 + 4 * q^26 - 10 * q^29 - 6 * q^30 - 18 * q^31 - 20 * q^33 + 12 * q^34 - 34 * q^35 - 4 * q^36 + 20 * q^37 + 10 * q^38 - 4 * q^39 - 2 * q^40 + 22 * q^41 + 8 * q^44 - 4 * q^45 - 6 * q^46 - 50 * q^47 - 52 * q^49 + 12 * q^50 + 28 * q^51 + 20 * q^52 + 30 * q^53 + 4 * q^54 + 18 * q^55 - 2 * q^56 - 30 * q^58 + 20 * q^59 + 2 * q^60 + 12 * q^61 + 50 * q^62 + 10 * q^63 + 4 * q^64 - 8 * q^65 + 2 * q^66 - 50 * q^67 + 6 * q^69 - 12 * q^70 - 28 * q^71 + 20 * q^73 + 12 * q^74 + 28 * q^75 + 20 * q^76 + 100 * q^77 - 20 * q^79 + 4 * q^80 - 4 * q^81 - 30 * q^83 + 2 * q^84 - 4 * q^85 - 6 * q^86 + 10 * q^87 + 70 * q^89 + 8 * q^90 + 12 * q^91 - 30 * q^92 + 2 * q^94 - 30 * q^95 - 4 * q^96 - 10 * q^97 + 60 * q^98 - 12 * q^99

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