LMFDB - Embedded newform 690.2.q.a.191.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [690,2,Mod(11,690)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(690, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 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("690.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 690 = 2 \cdot 3 \cdot 5 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	690.q (of order $22$, degree $10$, 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:	$5.50967773947$
Analytic rank:	$0$
Dimension:	$160$
Relative dimension:	$16$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			191.1
Character	$\chi$	$=$	690.191
Dual form			690.2.q.a.401.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.755750 - 0.654861i) q^{2} +(-1.72862 + 0.108947i) q^{3} +(0.142315 + 0.989821i) q^{4} +(0.415415 + 0.909632i) q^{5} +(1.37775 + 1.04967i) q^{6} +(-0.501114 - 1.70664i) q^{7} +(0.540641 - 0.841254i) q^{8} +(2.97626 - 0.376654i) q^{9} +O(q^{10})$	\(q+(-0.755750 - 0.654861i) q^{2} +(-1.72862 + 0.108947i) q^{3} +(0.142315 + 0.989821i) q^{4} +(0.415415 + 0.909632i) q^{5} +(1.37775 + 1.04967i) q^{6} +(-0.501114 - 1.70664i) q^{7} +(0.540641 - 0.841254i) q^{8} +(2.97626 - 0.376654i) q^{9} +(0.281733 - 0.959493i) q^{10} +(2.60869 + 3.01059i) q^{11} +(-0.353846 - 1.69552i) q^{12} +(-4.17264 - 1.22520i) q^{13} +(-0.738893 + 1.61795i) q^{14} +(-0.817196 - 1.52715i) q^{15} +(-0.959493 + 0.281733i) q^{16} +(0.367196 - 2.55390i) q^{17} +(-2.49596 - 1.66438i) q^{18} +(-4.19659 + 0.603379i) q^{19} +(-0.841254 + 0.540641i) q^{20} +(1.05217 + 2.89553i) q^{21} -3.98358i q^{22} +(2.41198 + 4.14516i) q^{23} +(-0.842911 + 1.51311i) q^{24} +(-0.654861 + 0.755750i) q^{25} +(2.35114 + 3.65844i) q^{26} +(-5.10379 + 0.975346i) q^{27} +(1.61795 - 0.738893i) q^{28} +(7.33758 + 1.05499i) q^{29} +(-0.382475 + 1.68929i) q^{30} +(1.37863 + 0.885989i) q^{31} +(0.909632 + 0.415415i) q^{32} +(-4.83743 - 4.91996i) q^{33} +(-1.94996 + 1.68965i) q^{34} +(1.34424 - 1.16479i) q^{35} +(0.796387 + 2.89236i) q^{36} +(10.1568 + 4.63847i) q^{37} +(3.56670 + 2.29218i) q^{38} +(7.34639 + 1.66331i) q^{39} +(0.989821 + 0.142315i) q^{40} +(-1.29057 + 0.589381i) q^{41} +(1.10100 - 2.87732i) q^{42} +(3.22523 + 5.01856i) q^{43} +(-2.60869 + 3.01059i) q^{44} +(1.57900 + 2.55083i) q^{45} +(0.891650 - 4.71221i) q^{46} +2.18845i q^{47} +(1.62791 - 0.591542i) q^{48} +(3.22728 - 2.07405i) q^{49} +(0.989821 - 0.142315i) q^{50} +(-0.356503 + 4.45473i) q^{51} +(0.618898 - 4.30453i) q^{52} +(6.35904 - 1.86718i) q^{53} +(4.49590 + 2.60516i) q^{54} +(-1.65484 + 3.62359i) q^{55} +(-1.70664 - 0.501114i) q^{56} +(7.18859 - 1.50022i) q^{57} +(-4.85451 - 5.60240i) q^{58} +(-1.96603 + 6.69569i) q^{59} +(1.39531 - 1.02621i) q^{60} +(-5.48943 + 8.54172i) q^{61} +(-0.461696 - 1.57239i) q^{62} +(-2.13426 - 4.89065i) q^{63} +(-0.415415 - 0.909632i) q^{64} +(-0.618898 - 4.30453i) q^{65} +(0.433997 + 6.88610i) q^{66} +(-1.43395 - 1.24253i) q^{67} +2.58016 q^{68} +(-4.62100 - 6.90263i) q^{69} -1.77869 q^{70} +(10.3094 + 8.93314i) q^{71} +(1.29223 - 2.70743i) q^{72} +(1.01988 + 7.09344i) q^{73} +(-4.63847 - 10.1568i) q^{74} +(1.04967 - 1.37775i) q^{75} +(-1.19448 - 4.06801i) q^{76} +(3.83073 - 5.96073i) q^{77} +(-4.46280 - 6.06791i) q^{78} +(1.98252 - 6.75183i) q^{79} +(-0.654861 - 0.755750i) q^{80} +(8.71626 - 2.24204i) q^{81} +(1.36131 + 0.399716i) q^{82} +(-1.07531 + 2.35459i) q^{83} +(-2.71632 + 1.45354i) q^{84} +(2.47565 - 0.726916i) q^{85} +(0.848990 - 5.90485i) q^{86} +(-12.7988 - 1.02427i) q^{87} +(3.94303 - 0.566922i) q^{88} +(11.8169 - 7.59427i) q^{89} +(0.477112 - 2.96182i) q^{90} +7.73514i q^{91} +(-3.75971 + 2.97735i) q^{92} +(-2.47965 - 1.38134i) q^{93} +(1.43313 - 1.65392i) q^{94} +(-2.29218 - 3.56670i) q^{95} +(-1.61767 - 0.618994i) q^{96} +(15.6483 - 7.14634i) q^{97} +(-3.79723 - 0.545959i) q^{98} +(8.89809 + 7.97772i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 160 q + 16 q^{4} - 16 q^{5} - 2 q^{6} + 42 q^{9}+O(q^{10}) $ 160 * q + 16 * q^4 - 16 * q^5 - 2 * q^6 + 42 * q^9	$ 160 q + 16 q^{4} - 16 q^{5} - 2 q^{6} + 42 q^{9} - 12 q^{11} - 12 q^{14} - 16 q^{16} - 8 q^{18} + 16 q^{20} + 62 q^{21} + 4 q^{23} + 2 q^{24} - 16 q^{25} + 42 q^{27} - 2 q^{30} - 4 q^{31} + 16 q^{33} + 2 q^{36} + 72 q^{38} - 124 q^{39} + 44 q^{41} + 44 q^{43} + 12 q^{44} - 2 q^{45} + 4 q^{46} + 70 q^{49} - 2 q^{51} - 52 q^{53} + 92 q^{54} + 10 q^{55} - 54 q^{56} - 38 q^{57} - 36 q^{58} - 44 q^{61} - 220 q^{63} + 16 q^{64} - 34 q^{66} - 44 q^{67} + 22 q^{69} - 12 q^{70} - 36 q^{72} - 28 q^{73} - 24 q^{74} - 88 q^{77} - 54 q^{78} - 44 q^{79} - 16 q^{80} - 66 q^{81} - 28 q^{82} + 4 q^{83} - 18 q^{84} + 158 q^{86} - 64 q^{87} + 80 q^{89} - 8 q^{90} - 4 q^{92} + 4 q^{93} + 24 q^{94} - 2 q^{96} - 88 q^{98} + 190 q^{99}+O(q^{100}) $ 160 * q + 16 * q^4 - 16 * q^5 - 2 * q^6 + 42 * q^9 - 12 * q^11 - 12 * q^14 - 16 * q^16 - 8 * q^18 + 16 * q^20 + 62 * q^21 + 4 * q^23 + 2 * q^24 - 16 * q^25 + 42 * q^27 - 2 * q^30 - 4 * q^31 + 16 * q^33 + 2 * q^36 + 72 * q^38 - 124 * q^39 + 44 * q^41 + 44 * q^43 + 12 * q^44 - 2 * q^45 + 4 * q^46 + 70 * q^49 - 2 * q^51 - 52 * q^53 + 92 * q^54 + 10 * q^55 - 54 * q^56 - 38 * q^57 - 36 * q^58 - 44 * q^61 - 220 * q^63 + 16 * q^64 - 34 * q^66 - 44 * q^67 + 22 * q^69 - 12 * q^70 - 36 * q^72 - 28 * q^73 - 24 * q^74 - 88 * q^77 - 54 * q^78 - 44 * q^79 - 16 * q^80 - 66 * q^81 - 28 * q^82 + 4 * q^83 - 18 * q^84 + 158 * q^86 - 64 * q^87 + 80 * q^89 - 8 * q^90 - 4 * q^92 + 4 * q^93 + 24 * q^94 - 2 * q^96 - 88 * q^98 + 190 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/690\mathbb{Z}\right)^\times$.

$n$	$277$	$461$	$511$
$\chi(n)$	$1$	$-1$	$e\left(\frac{19}{22}\right)$

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 $

$2$	−0.755750	−	0.654861i	−0.534396	−	0.463056i
$2$	−0.755750	−	0.654861i	−0.534396	−	0.463056i
$3$	−1.72862	+	0.108947i	−0.998020	+	0.0629003i
$3$	−1.72862	+	0.108947i	−0.998020	+	0.0629003i
$4$	0.142315	+	0.989821i	0.0711574	+	0.494911i
$5$	0.415415	+	0.909632i	0.185779	+	0.406800i
$5$	0.415415	+	0.909632i	0.185779	+	0.406800i
$6$	1.37775	+	1.04967i	0.562464	+	0.428526i
$7$	−0.501114	−	1.70664i	−0.189403	−	0.645048i	−0.998364	−	0.0571848i	$-0.981788\pi$
$7$	−0.501114	−	1.70664i	−0.189403	−	0.645048i	0.808960	−	0.587863i	$-0.200031\pi$
$8$	0.540641	−	0.841254i	0.191145	−	0.297428i
$9$	2.97626	−	0.376654i	0.992087	−	0.125551i
$10$	0.281733	−	0.959493i	0.0890917	−	0.303418i
$11$	2.60869	+	3.01059i	0.786549	+	0.907726i	0.997564	−	0.0697567i	$-0.0222223\pi$
$11$	2.60869	+	3.01059i	0.786549	+	0.907726i	−0.211015	+	0.977483i	$0.567677\pi$
$12$	−0.353846	−	1.69552i	−0.102147	−	0.489455i
$13$	−4.17264	−	1.22520i	−1.15728	−	0.339809i	−0.353906	−	0.935281i	$-0.615147\pi$
$13$	−4.17264	−	1.22520i	−1.15728	−	0.339809i	−0.803376	+	0.595472i	$0.796965\pi$
$14$	−0.738893	+	1.61795i	−0.197477	+	0.432415i
$15$	−0.817196	−	1.52715i	−0.210999	−	0.394309i
$16$	−0.959493	+	0.281733i	−0.239873	+	0.0704331i
$17$	0.367196	−	2.55390i	0.0890580	−	0.619412i	−0.895593	−	0.444875i	$-0.853248\pi$
$17$	0.367196	−	2.55390i	0.0890580	−	0.619412i	0.984651	−	0.174537i	$-0.0558429\pi$
$18$	−2.49596	−	1.66438i	−0.588304	−	0.392298i
$19$	−4.19659	+	0.603379i	−0.962765	+	0.138425i	−0.605733	−	0.795668i	$-0.707120\pi$
$19$	−4.19659	+	0.603379i	−0.962765	+	0.138425i	−0.357031	+	0.934092i	$0.616211\pi$
$20$	−0.841254	+	0.540641i	−0.188110	+	0.120891i
$21$	1.05217	+	2.89553i	0.229602	+	0.631857i
$22$		−	3.98358i		−	0.849302i
$23$	2.41198	+	4.14516i	0.502933	+	0.864326i
$23$	2.41198	+	4.14516i	0.502933	+	0.864326i
$24$	−0.842911	+	1.51311i	−0.172059	+	0.308862i
$25$	−0.654861	+	0.755750i	−0.130972	+	0.151150i
$26$	2.35114	+	3.65844i	0.461096	+	0.717479i
$27$	−5.10379	+	0.975346i	−0.982225	+	0.187705i
$28$	1.61795	−	0.738893i	0.305764	−	0.139638i
$29$	7.33758	+	1.05499i	1.36256	+	0.195906i	0.784519	−	0.620105i	$-0.212910\pi$
$29$	7.33758	+	1.05499i	1.36256	+	0.195906i	0.578036	+	0.816011i	$0.303819\pi$
$30$	−0.382475	+	1.68929i	−0.0698301	+	0.308421i
$31$	1.37863	+	0.885989i	0.247608	+	0.159128i	0.658558	−	0.752530i	$-0.271167\pi$
$31$	1.37863	+	0.885989i	0.247608	+	0.159128i	−0.410950	+	0.911658i	$0.634803\pi$
$32$	0.909632	+	0.415415i	0.160802	+	0.0734357i
$33$	−4.83743	−	4.91996i	−0.842088	−	0.856454i
$34$	−1.94996	+	1.68965i	−0.334415	+	0.289772i
$35$	1.34424	−	1.16479i	0.227218	−	0.196886i
$36$	0.796387	+	2.89236i	0.132731	+	0.482061i
$37$	10.1568	+	4.63847i	1.66977	+	0.762559i	0.999796	+	0.0201761i	$0.00642269\pi$
$37$	10.1568	+	4.63847i	1.66977	+	0.762559i	0.669976	+	0.742383i	$0.266305\pi$
$38$	3.56670	+	2.29218i	0.578596	+	0.371841i
$39$	7.34639	+	1.66331i	1.17636	+	0.266342i
$40$	0.989821	+	0.142315i	0.156505	+	0.0225020i
$41$	−1.29057	+	0.589381i	−0.201552	+	0.0920459i	−0.513634	−	0.858009i	$-0.671701\pi$
$41$	−1.29057	+	0.589381i	−0.201552	+	0.0920459i	0.312082	+	0.950055i	$0.398974\pi$
$42$	1.10100	−	2.87732i	0.169887	−	0.443980i
$43$	3.22523	+	5.01856i	0.491844	+	0.765323i	0.995106	−	0.0988099i	$-0.0315036\pi$
$43$	3.22523	+	5.01856i	0.491844	+	0.765323i	−0.503263	+	0.864133i	$0.667867\pi$
$44$	−2.60869	+	3.01059i	−0.393275	+	0.453863i
$45$	1.57900	+	2.55083i	0.235384	+	0.380256i
$46$	0.891650	−	4.71221i	0.131467	−	0.694778i
$47$			2.18845i			0.319218i	0.987180	+	0.159609i	$0.0510233\pi$
$47$			2.18845i			0.319218i	−0.987180	+	0.159609i	$0.948977\pi$
$48$	1.62791	−	0.591542i	0.234968	−	0.0853818i
$49$	3.22728	−	2.07405i	0.461040	−	0.296293i
$50$	0.989821	−	0.142315i	0.139982	−	0.0201264i
$51$	−0.356503	+	4.45473i	−0.0499205	+	0.623787i
$52$	0.618898	−	4.30453i	0.0858257	−	0.596931i
$53$	6.35904	−	1.86718i	0.873481	−	0.256477i	0.185886	−	0.982571i	$-0.440484\pi$
$53$	6.35904	−	1.86718i	0.873481	−	0.256477i	0.687595	+	0.726094i	$0.258666\pi$
$54$	4.49590	+	2.60516i	0.611815	+	0.354517i
$55$	−1.65484	+	3.62359i	−0.223138	+	0.488605i
$56$	−1.70664	−	0.501114i	−0.228059	−	0.0669641i
$57$	7.18859	−	1.50022i	0.952151	−	0.198709i
$58$	−4.85451	−	5.60240i	−0.637428	−	0.735631i
$59$	−1.96603	+	6.69569i	−0.255956	+	0.871705i	0.726808	+	0.686840i	$0.241003\pi$
$59$	−1.96603	+	6.69569i	−0.255956	+	0.871705i	−0.982764	+	0.184865i	$0.940815\pi$
$60$	1.39531	−	1.02621i	0.180133	−	0.132484i
$61$	−5.48943	+	8.54172i	−0.702850	+	1.09366i	0.287861	+	0.957672i	$0.407056\pi$
$61$	−5.48943	+	8.54172i	−0.702850	+	1.09366i	−0.990711	+	0.135984i	$0.956581\pi$
$62$	−0.461696	−	1.57239i	−0.0586355	−	0.199694i
$63$	−2.13426	−	4.89065i	−0.268891	−	0.616164i
$64$	−0.415415	−	0.909632i	−0.0519269	−	0.113704i
$65$	−0.618898	−	4.30453i	−0.0767649	−	0.533911i
$66$	0.433997	+	6.88610i	0.0534213	+	0.847620i
$67$	−1.43395	−	1.24253i	−0.175185	−	0.151799i	0.562855	−	0.826556i	$-0.309703\pi$
$67$	−1.43395	−	1.24253i	−0.175185	−	0.151799i	−0.738040	+	0.674757i	$0.764248\pi$
$68$	2.58016			0.312891
$69$	−4.62100	−	6.90263i	−0.556303	−	0.830980i
$70$	−1.77869			−0.212594
$71$	10.3094	+	8.93314i	1.22350	+	1.06017i	0.996267	+	0.0863280i	$0.0275133\pi$
$71$	10.3094	+	8.93314i	1.22350	+	1.06017i	0.227233	+	0.973840i	$0.427032\pi$
$72$	1.29223	−	2.70743i	0.152290	−	0.319073i
$73$	1.01988	+	7.09344i	0.119368	+	0.830224i	0.958254	+	0.285917i	$0.0922982\pi$
$73$	1.01988	+	7.09344i	0.119368	+	0.830224i	−0.838886	+	0.544307i	$0.816793\pi$
$74$	−4.63847	−	10.1568i	−0.539211	−	1.18071i
$75$	1.04967	−	1.37775i	0.121205	−	0.159089i
$76$	−1.19448	−	4.06801i	−0.137016	−	0.466633i
$77$	3.83073	−	5.96073i	0.436552	−	0.679288i
$78$	−4.46280	−	6.06791i	−0.505312	−	0.687055i
$79$	1.98252	−	6.75183i	0.223051	−	0.759641i	−0.769590	−	0.638539i	$-0.779539\pi$
$79$	1.98252	−	6.75183i	0.223051	−	0.759641i	0.992640	−	0.121102i	$-0.0386427\pi$
$80$	−0.654861	−	0.755750i	−0.0732157	−	0.0844954i
$81$	8.71626	−	2.24204i	0.968474	−	0.249116i
$82$	1.36131	+	0.399716i	0.150331	+	0.0441412i
$83$	−1.07531	+	2.35459i	−0.118030	+	0.258450i	−0.959421	−	0.281977i	$-0.909010\pi$
$83$	−1.07531	+	2.35459i	−0.118030	+	0.258450i	0.841391	+	0.540427i	$0.181737\pi$
$84$	−2.71632	+	1.45354i	−0.296375	+	0.158594i
$85$	2.47565	−	0.726916i	0.268522	−	0.0788451i
$86$	0.848990	−	5.90485i	0.0915489	−	0.636737i
$87$	−12.7988	−	1.02427i	−1.37218	−	0.109813i
$88$	3.94303	−	0.566922i	0.420328	−	0.0604341i
$89$	11.8169	−	7.59427i	1.25259	−	0.804991i	0.265338	−	0.964155i	$-0.414516\pi$
$89$	11.8169	−	7.59427i	1.25259	−	0.804991i	0.987252	+	0.159164i	$0.0508800\pi$
$90$	0.477112	−	2.96182i	0.0502921	−	0.312203i
$91$			7.73514i			0.810863i
$92$	−3.75971	+	2.97735i	−0.391977	+	0.310410i
$93$	−2.47965	−	1.38134i	−0.257127	−	0.143239i
$94$	1.43313	−	1.65392i	0.147816	−	0.170589i
$95$	−2.29218	−	3.56670i	−0.235173	−	0.365936i
$96$	−1.61767	−	0.618994i	−0.165102	−	0.0631758i
$97$	15.6483	−	7.14634i	1.58884	−	0.725601i	0.592073	−	0.805885i	$-0.298310\pi$
$97$	15.6483	−	7.14634i	1.58884	−	0.725601i	0.996772	+	0.0802835i	$0.0255826\pi$
$98$	−3.79723	−	0.545959i	−0.383578	−	0.0551502i
$99$	8.89809	+	7.97772i	0.894292	+	0.801791i
$100$	−0.841254	−	0.540641i	−0.0841254	−	0.0540641i
$101$	−1.88213	−	0.859541i	−0.187279	−	0.0855276i	0.319568	−	0.947563i	$-0.396462\pi$
$101$	−1.88213	−	0.859541i	−0.187279	−	0.0855276i	−0.506848	+	0.862036i	$0.669189\pi$
$102$	3.18666	−	3.13320i	0.315526	−	0.310233i
$103$	−13.6577	+	11.8344i	−1.34573	+	1.16608i	−0.374694	+	0.927149i	$0.622252\pi$
$103$	−13.6577	+	11.8344i	−1.34573	+	1.16608i	−0.971036	+	0.238933i	$0.923202\pi$
$104$	−3.28660	+	2.84786i	−0.322278	+	0.279255i
$105$	−2.19678	+	2.15993i	−0.214384	+	0.210788i
$106$	−6.02859	−	2.75316i	−0.585548	−	0.267411i
$107$	2.99346	+	1.92378i	0.289388	+	0.185979i	0.677278	−	0.735727i	$-0.263159\pi$
$107$	2.99346	+	1.92378i	0.289388	+	0.185979i	−0.387890	+	0.921706i	$0.626796\pi$
$108$	−1.69176	−	4.91304i	−0.162790	−	0.472757i
$109$	−6.99041	−	1.00507i	−0.669560	−	0.0962681i	−0.200852	−	0.979622i	$-0.564371\pi$
$109$	−6.99041	−	1.00507i	−0.669560	−	0.0962681i	−0.468707	+	0.883353i	$0.655280\pi$
$110$	3.62359	−	1.65484i	0.345496	−	0.157783i
$111$	−18.0626	−	6.91160i	−1.71443	−	0.656020i
$112$	0.961630	+	1.49633i	0.0908655	+	0.141389i
$113$	−2.00155	+	2.30991i	−0.188290	+	0.217298i	−0.842044	−	0.539409i	$-0.818648\pi$
$113$	−2.00155	+	2.30991i	−0.188290	+	0.217298i	0.653754	+	0.756707i	$0.273193\pi$
$114$	−6.41520	−	3.57373i	−0.600839	−	0.334711i
$115$	−2.76860	+	3.91598i	−0.258173	+	0.365167i
$116$			7.41304i			0.688283i
$117$	−12.8803	−	2.07486i	−1.19079	−	0.191821i
$118$	5.87057	−	3.77279i	0.540430	−	0.347313i
$119$	−4.54259	+	0.653125i	−0.416418	+	0.0598719i
$120$	−1.72653	−	0.138171i	−0.157610	−	0.0126132i
$121$	−0.692915	+	4.81933i	−0.0629923	+	0.438121i
$122$	9.74228	−	2.86059i	0.882024	−	0.258986i
$123$	2.16669	−	1.15942i	0.195364	−	0.104541i
$124$	−0.680772	+	1.49068i	−0.0611351	+	0.133867i
$125$	−0.959493	−	0.281733i	−0.0858197	−	0.0251989i
$126$	−1.58973	+	5.09375i	−0.141624	+	0.453787i
$127$	−6.81253	−	7.86208i	−0.604514	−	0.697646i	0.368175	−	0.929756i	$-0.379983\pi$
$127$	−6.81253	−	7.86208i	−0.604514	−	0.697646i	−0.972690	+	0.232110i	$0.925437\pi$
$128$	−0.281733	+	0.959493i	−0.0249019	+	0.0848080i
$129$	−6.12196	−	8.32381i	−0.539009	−	0.732871i
$130$	−2.35114	+	3.65844i	−0.206208	+	0.320866i
$131$	5.65287	+	19.2519i	0.493893	+	1.68205i	0.708799	+	0.705411i	$0.249238\pi$
$131$	5.65287	+	19.2519i	0.493893	+	1.68205i	−0.214905	+	0.976635i	$0.568944\pi$
$132$	4.18144	−	5.48837i	0.363948	−	0.477701i
$133$	3.13272	+	6.85970i	0.271641	+	0.594811i
$134$	0.270027	+	1.87808i	0.0233268	+	0.162241i
$135$	−3.00740	−	4.23740i	−0.258836	−	0.364697i
$136$	−1.94996	−	1.68965i	−0.167208	−	0.144886i
$137$	−15.1894			−1.29771			−0.648857	−	0.760910i	$-0.724753\pi$
$137$	−15.1894			−1.29771			−0.648857	+	0.760910i	$0.724753\pi$
$138$	−1.02795	+	8.24277i	−0.0875045	+	0.701672i
$139$	−3.17558			−0.269349			−0.134675	−	0.990890i	$-0.542999\pi$
$139$	−3.17558			−0.269349			−0.134675	+	0.990890i	$0.542999\pi$
$140$	1.34424	+	1.16479i	0.113609	+	0.0984428i
$141$	−0.238424	−	3.78300i	−0.0200789	−	0.318586i
$142$	−1.94136	−	13.5024i	−0.162915	−	1.13310i
$143$	−7.19655	−	15.7582i	−0.601806	−	1.31777i
$144$	−2.74959	+	1.19991i	−0.229132	+	0.0999922i
$145$	2.08849	+	7.11276i	0.173440	+	0.590682i
$146$	3.87444	−	6.02874i	0.320651	−	0.498942i
$147$	−5.35279	+	3.93685i	−0.441491	+	0.324706i
$148$	−3.14579	+	10.7136i	−0.258582	+	0.880650i
$149$	−2.03073	−	2.34359i	−0.166364	−	0.191994i	0.666446	−	0.745553i	$-0.267815\pi$
$149$	−2.03073	−	2.34359i	−0.166364	−	0.191994i	−0.832810	+	0.553559i	$0.813269\pi$
$150$	−1.69552	+	0.353846i	−0.138439	+	0.0288914i
$151$	−16.5483	−	4.85903i	−1.34668	−	0.395422i	−0.472635	−	0.881258i	$-0.656697\pi$
$151$	−16.5483	−	4.85903i	−1.34668	−	0.395422i	−0.874050	+	0.485836i	$0.838515\pi$
$152$	−1.76126	+	3.85661i	−0.142857	+	0.312812i
$153$	0.130932	−	7.73938i	0.0105852	−	0.625692i
$154$	−6.79852	+	1.99622i	−0.547840	+	0.160860i
$155$	−0.233222	+	1.62209i	−0.0187328	+	0.130290i
$156$	−0.600877	+	7.50833i	−0.0481086	+	0.601147i
$157$	−5.90372	+	0.848827i	−0.471168	+	0.0677437i	−0.373809	−	0.927506i	$-0.621949\pi$
$157$	−5.90372	+	0.848827i	−0.471168	+	0.0677437i	−0.0973588	+	0.995249i	$0.531039\pi$
$158$	−5.91980	+	3.80442i	−0.470954	+	0.302664i
$159$	−10.7889	+	3.92045i	−0.855619	+	0.310912i
$160$			1.00000i			0.0790569i
$161$	5.86560	−	6.19357i	0.462274	−	0.488122i
$162$	−8.05554	−	4.01351i	−0.632903	−	0.315331i
$163$	1.86465	−	2.15193i	0.146051	−	0.168552i	−0.678010	−	0.735052i	$-0.737158\pi$
$163$	1.86465	−	2.15193i	0.146051	−	0.168552i	0.824061	+	0.566500i	$0.191703\pi$
$164$	−0.767049	−	1.19355i	−0.0598965	−	0.0932007i
$165$	2.46581	−	6.44410i	0.191963	−	0.501673i
$166$	2.35459	−	1.07531i	0.182752	−	0.0834600i
$167$	−17.3360	−	2.49253i	−1.34150	−	0.192878i	−0.566092	−	0.824342i	$-0.691545\pi$
$167$	−17.3360	−	2.49253i	−1.34150	−	0.192878i	−0.775405	+	0.631464i	$0.782454\pi$
$168$	3.00472	+	0.680303i	0.231819	+	0.0524865i
$169$	4.97351	+	3.19628i	0.382578	+	0.245868i
$170$	−2.34700	−	1.07184i	−0.180007	−	0.0822063i
$171$	−12.2629	+	3.37648i	−0.937767	+	0.258206i
$172$	−4.50848	+	3.90662i	−0.343768	+	0.297877i
$173$	12.5262	−	10.8540i	0.952346	−	0.825213i	−0.0323529	−	0.999477i	$-0.510300\pi$
$173$	12.5262	−	10.8540i	0.952346	−	0.825213i	0.984699	+	0.174264i	$0.0557546\pi$
$174$	9.00197	+	9.15554i	0.682437	+	0.694080i
$175$	1.61795	+	0.738893i	0.122305	+	0.0558550i
$176$	−3.35120	−	2.15368i	−0.252606	−	0.162340i
$177$	2.66905	−	11.7885i	0.200618	−	0.886078i
$178$	−13.9038	−	1.99907i	−1.04214	−	0.149836i
$179$	7.93291	−	3.62284i	0.592934	−	0.270784i	−0.0962655	−	0.995356i	$-0.530690\pi$
$179$	7.93291	−	3.62284i	0.592934	−	0.270784i	0.689199	+	0.724572i	$0.257963\pi$
$180$	−2.30016	+	1.92595i	−0.171443	+	0.143552i
$181$	11.3207	+	17.6154i	0.841462	+	1.30934i	0.949044	+	0.315144i	$0.102053\pi$
$181$	11.3207	+	17.6154i	0.841462	+	1.30934i	−0.107582	+	0.994196i	$0.534311\pi$
$182$	5.06544	−	5.84583i	0.375475	−	0.433322i
$183$	8.55856	−	15.3635i	0.632667	−	1.13570i
$184$	4.79115	+	0.211956i	0.353208	+	0.0156256i
$185$			11.1659i			0.820931i
$186$	0.969405	+	2.66777i	0.0710802	+	0.195611i
$187$	8.64664	−	5.55686i	0.632305	−	0.406358i
$188$	−2.16617	+	0.311448i	−0.157984	+	0.0227147i
$189$	4.22214	+	8.22156i	0.307116	+	0.598030i
$190$	−0.603379	+	4.19659i	−0.0437737	+	0.304453i
$191$	5.79726	−	1.70223i	0.419475	−	0.123169i	−0.0651816	−	0.997873i	$-0.520763\pi$
$191$	5.79726	−	1.70223i	0.419475	−	0.123169i	0.484657	+	0.874704i	$0.338944\pi$
$192$	0.817196	+	1.52715i	0.0589761	+	0.110213i
$193$	3.59230	−	7.86603i	0.258579	−	0.566209i	−0.735165	−	0.677888i	$-0.762895\pi$
$193$	3.59230	−	7.86603i	0.258579	−	0.566209i	0.993744	+	0.111679i	$0.0356227\pi$
$194$	−16.5061	−	4.84662i	−1.18507	−	0.347967i
$195$	1.53880	+	7.37348i	0.110196	+	0.528026i
$196$	2.51223	+	2.89927i	0.179445	+	0.207090i
$197$	−5.70647	+	19.4344i	−0.406569	+	1.38465i	0.461031	+	0.887384i	$0.347480\pi$
$197$	−5.70647	+	19.4344i	−0.406569	+	1.38465i	−0.867600	+	0.497263i	$0.834339\pi$
$198$	−1.50043	−	11.8562i	−0.106631	−	0.842581i
$199$	4.93275	−	7.67550i	0.349673	−	0.544102i	−0.621214	−	0.783641i	$-0.713360\pi$
$199$	4.93275	−	7.67550i	0.349673	−	0.544102i	0.970887	+	0.239539i	$0.0769964\pi$
$200$	0.281733	+	0.959493i	0.0199215	+	0.0678464i
$201$	2.61413	+	1.99163i	0.184386	+	0.140479i
$202$	0.859541	+	1.88213i	0.0604771	+	0.132426i
$203$	−1.87649	−	13.0513i	−0.131704	−	0.916018i
$204$	−4.46013	+	0.281100i	−0.312271	+	0.0196809i
$205$	−1.07224	−	0.929102i	−0.0748885	−	0.0648913i
$206$	18.0717			1.25911
$207$	8.73998	+	11.4286i	0.607470	+	0.794342i
$208$	4.34880			0.301535
$209$	−12.7641	−	11.0602i	−0.882913	−	0.765049i
$210$	3.07467	−	0.193782i	0.212173	−	0.0133722i
$211$	0.799913	+	5.56352i	0.0550683	+	0.383008i	0.998653	+	0.0518783i	$0.0165208\pi$
$211$	0.799913	+	5.56352i	0.0550683	+	0.383008i	−0.943585	+	0.331130i	$0.892570\pi$
$212$	2.75316	+	6.02859i	0.189088	+	0.414045i
$213$	−18.7943	−	14.3188i	−1.28776	−	0.981111i
$214$	−1.00250	−	3.41419i	−0.0685293	−	0.233389i
$215$	−3.22523	+	5.01856i	−0.219959	+	0.342263i
$216$	−1.93881	+	4.82090i	−0.131919	+	0.328020i
$217$	0.821213	−	2.79679i	0.0557475	−	0.189859i
$218$	4.62482	+	5.33732i	0.313232	+	0.361489i
$219$	−2.53580	−	12.1508i	−0.171353	−	0.821072i
$220$	−3.82221	−	1.12230i	−0.257694	−	0.0756657i
$221$	−4.66121	+	10.2066i	−0.313547	+	0.686572i
$222$	9.12470	+	17.0520i	0.612410	+	1.14445i
$223$	24.6793	−	7.24648i	1.65265	−	0.485260i	0.683131	−	0.730296i	$-0.260618\pi$
$223$	24.6793	−	7.24648i	1.65265	−	0.485260i	0.969514	+	0.245035i	$0.0787995\pi$
$224$	0.253133	−	1.76058i	0.0169132	−	0.117634i
$225$	−1.66438	+	2.49596i	−0.110959	+	0.166398i
$226$	3.02534	−	0.434978i	0.201242	−	0.0289343i
$227$	11.1252	−	7.14975i	0.738407	−	0.474545i	−0.116589	−	0.993180i	$-0.537196\pi$
$227$	11.1252	−	7.14975i	0.738407	−	0.474545i	0.854996	+	0.518635i	$0.173560\pi$
$228$	2.50799	+	6.90191i	0.166096	+	0.457090i
$229$		−	24.9730i		−	1.65026i	−0.564943	−	0.825130i	$-0.691102\pi$
$229$		−	24.9730i		−	1.65026i	0.564943	−	0.825130i	$-0.308898\pi$
$230$	4.65679	−	1.14645i	0.307059	−	0.0755948i
$231$	−5.97247	+	10.7212i	−0.392960	+	0.705402i
$232$	4.85451	−	5.60240i	0.318714	−	0.367816i
$233$	11.1082	+	17.2848i	0.727725	+	1.13236i	0.986074	+	0.166310i	$0.0531853\pi$
$233$	11.1082	+	17.2848i	0.727725	+	1.13236i	−0.258349	+	0.966052i	$0.583178\pi$
$234$	8.37556	+	10.0029i	0.547528	+	0.653910i
$235$	−1.99068	+	0.909114i	−0.129858	+	0.0593040i
$236$	−6.90733	−	0.993125i	−0.449629	−	0.0646469i
$237$	−2.69143	+	11.8873i	−0.174827	+	0.772166i
$238$	3.86076	+	2.48116i	0.250256	+	0.160830i
$239$	−7.87155	−	3.59482i	−0.509168	−	0.232529i	0.144229	−	0.989544i	$-0.453930\pi$
$239$	−7.87155	−	3.59482i	−0.509168	−	0.232529i	−0.653397	+	0.757015i	$0.726657\pi$
$240$	1.21434	+	1.23506i	0.0783855	+	0.0797228i
$241$	1.92865	−	1.67118i	0.124235	−	0.107650i	−0.590527	−	0.807018i	$-0.701080\pi$
$241$	1.92865	−	1.67118i	0.124235	−	0.107650i	0.714763	+	0.699367i	$0.246535\pi$
$242$	3.67966	−	3.18844i	0.236538	−	0.204961i
$243$	−14.8229	+	4.82525i	−0.950886	+	0.309540i
$244$	−9.23601	−	4.21794i	−0.591275	−	0.270026i
$245$	3.22728	+	2.07405i	0.206184	+	0.132506i
$246$	−2.39673	−	0.542648i	−0.152810	−	0.0345979i
$247$	18.2501	+	2.62397i	1.16123	+	0.166959i
$248$	1.49068	−	0.680772i	0.0946584	−	0.0432291i
$249$	1.60227	−	4.18735i	0.101540	−	0.265363i
$250$	0.540641	+	0.841254i	0.0341931	+	0.0532055i
$251$	7.65373	−	8.83288i	0.483099	−	0.557526i	−0.460909	−	0.887447i	$-0.652477\pi$
$251$	7.65373	−	8.83288i	0.483099	−	0.557526i	0.944009	+	0.329921i	$0.107022\pi$
$252$	4.53713	−	2.80855i	0.285812	−	0.176922i
$253$	−6.18726	+	18.0749i	−0.388990	+	1.13636i
$254$			10.4030i			0.652743i
$255$	−4.20026	+	1.52628i	−0.263031	+	0.0955791i
$256$	0.841254	−	0.540641i	0.0525783	−	0.0337901i
$257$	−9.10237	+	1.30872i	−0.567790	+	0.0816359i	−0.420231	−	0.907417i	$-0.638051\pi$
$257$	−9.10237	+	1.30872i	−0.567790	+	0.0816359i	−0.147559	+	0.989053i	$0.547142\pi$
$258$	−0.824269	+	10.2998i	−0.0513167	+	0.641234i
$259$	2.82645	−	19.6584i	0.175627	−	1.22151i
$260$	4.17264	−	1.22520i	0.258776	−	0.0759835i
$261$	22.2359	+	0.376178i	1.37637	+	0.0232849i
$262$	8.33516	−	18.2515i	0.514948	−	1.12758i
$263$	−14.9914	−	4.40188i	−0.924410	−	0.271431i	−0.215315	−	0.976545i	$-0.569078\pi$
$263$	−14.9914	−	4.40188i	−0.924410	−	0.271431i	−0.709095	+	0.705113i	$0.750896\pi$
$264$	−6.75424	+	1.40957i	−0.415695	+	0.0867532i
$265$	4.34009	+	5.00873i	0.266610	+	0.307684i
$266$	2.12460	−	7.23571i	0.130267	−	0.443650i
$267$	−19.5996	+	14.4150i	−1.19948	+	0.882185i
$268$	1.02581	−	1.59619i	0.0626611	−	0.0975026i
$269$	−4.36471	−	14.8648i	−0.266121	−	0.906325i	−0.978797	−	0.204832i	$-0.934335\pi$
$269$	−4.36471	−	14.8648i	−0.266121	−	0.906325i	0.712676	−	0.701493i	$-0.247483\pi$
$270$	−0.502067	+	5.17184i	−0.0305548	+	0.314748i
$271$	−10.2546	−	22.4545i	−0.622924	−	1.36401i	−0.913373	−	0.407124i	$-0.866532\pi$
$271$	−10.2546	−	22.4545i	−0.622924	−	1.36401i	0.290449	−	0.956891i	$-0.406195\pi$
$272$	0.367196	+	2.55390i	0.0222645	+	0.154853i
$273$	−0.842716	−	13.3711i	−0.0510035	−	0.809257i
$274$	11.4794	+	9.94692i	0.693493	+	0.600915i
$275$	−3.98358			−0.240219
$276$	6.17474	−	5.55631i	0.371676	−	0.334451i
$277$	−25.9773			−1.56082			−0.780411	−	0.625267i	$-0.784990\pi$
$277$	−25.9773			−1.56082			−0.780411	+	0.625267i	$0.784990\pi$
$278$	2.39994	+	2.07956i	0.143939	+	0.124724i
$279$	4.43686	+	2.11767i	0.265628	+	0.126782i
$280$	−0.253133	−	1.76058i	−0.0151276	−	0.105215i
$281$	−1.90201	−	4.16482i	−0.113464	−	0.248452i	0.844377	−	0.535749i	$-0.179971\pi$
$281$	−1.90201	−	4.16482i	−0.113464	−	0.248452i	−0.957842	+	0.287297i	$0.907243\pi$
$282$	−2.29715	+	3.01513i	−0.136793	+	0.179548i
$283$	1.28605	+	4.37987i	0.0764474	+	0.260356i	0.988845	−	0.148949i	$-0.0475892\pi$
$283$	1.28605	+	4.37987i	0.0764474	+	0.260356i	−0.912397	+	0.409306i	$0.865771\pi$
$284$	−7.37503	+	11.4758i	−0.437628	+	0.680962i
$285$	4.35089	+	5.91575i	0.257725	+	0.350419i
$286$	−4.88067	+	16.6220i	−0.288600	+	0.982881i
$287$	1.65258	+	1.90718i	0.0975487	+	0.112577i
$288$	2.86377	+	0.893767i	0.168749	+	0.0526657i
$289$	9.92380	+	2.91389i	0.583753	+	0.171405i
$290$	3.07949	−	6.74314i	0.180834	−	0.395971i
$291$	−26.2714	+	14.0581i	−1.54006	+	0.824103i
$292$	−6.87609	+	2.01900i	−0.402393	+	0.118153i
$293$	−1.50900	+	10.4953i	−0.0881565	+	0.613142i	0.897070	+	0.441888i	$0.145691\pi$
$293$	−1.50900	+	10.4953i	−0.0881565	+	0.613142i	−0.985227	+	0.171254i	$0.945218\pi$
$294$	6.62345	+	0.530062i	0.386288	+	0.0309138i
$295$	−6.90733	+	0.993125i	−0.402161	+	0.0578220i
$296$	9.39332	−	6.03672i	0.545976	−	0.350877i
$297$	−16.2506	−	12.8210i	−0.942954	−	0.743952i
$298$			3.10101i			0.179637i
$299$	−4.98568	−	20.2514i	−0.288329	−	1.17117i
$300$	1.51311	+	0.842911i	0.0873594	+	0.0486655i
$301$	6.94865	−	8.01917i	0.400514	−	0.462217i
$302$	9.32441	+	14.5091i	0.536560	+	0.834903i
$303$	3.34714	+	1.28077i	0.192288	+	0.0735783i
$304$	3.85661	−	1.76126i	0.221192	−	0.101015i
$305$	−10.0502	−	1.44500i	−0.575474	−	0.0827406i
$306$	−5.16717	+	5.76329i	−0.295387	+	0.329466i
$307$	−1.15983	−	0.745378i	−0.0661951	−	0.0425410i	0.507125	−	0.861873i	$-0.330708\pi$
$307$	−1.15983	−	0.745378i	−0.0661951	−	0.0425410i	−0.573320	+	0.819332i	$0.694345\pi$
$308$	6.44523	+	2.94344i	0.367251	+	0.167718i
$309$	22.3196	−	21.9452i	1.26972	−	1.24842i
$310$	1.23850	−	1.07317i	0.0703423	−	0.0609519i
$311$	−3.59857	+	3.11818i	−0.204056	+	0.176816i	−0.750894	−	0.660423i	$-0.770377\pi$
$311$	−3.59857	+	3.11818i	−0.204056	+	0.176816i	0.546837	+	0.837239i	$0.315832\pi$
$312$	5.37102	−	5.28093i	0.304074	−	0.298974i
$313$	24.6911	+	11.2761i	1.39563	+	0.637361i	0.964294	−	0.264833i	$-0.0853169\pi$
$313$	24.6911	+	11.2761i	1.39563	+	0.637361i	0.431331	+	0.902194i	$0.358044\pi$
$314$	5.01760	+	3.22461i	0.283159	+	0.181975i
$315$	3.56209	−	3.97304i	0.200701	−	0.223855i
$316$	6.96525	+	1.00145i	0.391826	+	0.0563361i
$317$	22.8616	−	10.4406i	1.28404	−	0.586400i	0.347734	−	0.937593i	$-0.386951\pi$
$317$	22.8616	−	10.4406i	1.28404	−	0.586400i	0.936303	+	0.351193i	$0.114224\pi$
$318$	10.7211	+	4.10238i	0.601209	+	0.230050i
$319$	15.9653	+	24.8426i	0.893888	+	1.39092i
$320$	0.654861	−	0.755750i	0.0366078	−	0.0422477i
$321$	−5.38414	−	2.99936i	−0.300513	−	0.167408i
$322$	−8.48885	+	0.839633i	−0.473065	+	0.0467909i
$323$			10.9392i			0.608676i
$324$	3.45968	+	8.30847i	0.192204	+	0.461582i
$325$	3.65844	−	2.35114i	0.202934	−	0.130418i
$326$	−2.81842	+	0.405228i	−0.156098	+	0.0224435i
$327$	12.1933	+	0.975803i	0.674289	+	0.0539620i
$328$	−0.201913	+	1.40434i	−0.0111488	+	0.0775415i
$329$	3.73488	−	1.09666i	0.205911	−	0.0604608i
$330$	−6.08352	+	3.25536i	−0.334887	+	0.179202i
$331$	8.42050	−	18.4383i	0.462833	−	1.01346i	−0.524000	−	0.851718i	$-0.675561\pi$
$331$	8.42050	−	18.4383i	0.462833	−	1.01346i	0.986833	−	0.161744i	$-0.0517119\pi$
$332$	−2.48366	−	0.729268i	−0.136308	−	0.0400238i
$333$	31.9765	+	9.97968i	1.75230	+	0.546883i
$334$	11.4694	+	13.2364i	0.627577	+	0.724262i
$335$	0.534556	−	1.82053i	0.0292059	−	0.0994663i
$336$	−1.82531	−	2.48181i	−0.0995790	−	0.135394i
$337$	2.57375	−	4.00483i	0.140201	−	0.218157i	−0.764051	−	0.645155i	$-0.776793\pi$
$337$	2.57375	−	4.00483i	0.140201	−	0.218157i	0.904252	+	0.426998i	$0.140429\pi$
$338$	−1.66561	−	5.67254i	−0.0905972	−	0.308546i
$339$	3.20826	−	4.21102i	0.174249	−	0.228711i
$340$	1.07184	+	2.34700i	0.0581286	+	0.127284i
$341$	0.929058	+	6.46174i	0.0503113	+	0.349923i
$342$	11.4788	+	5.47872i	0.620703	+	0.296255i
$343$	−14.5666	−	12.6220i	−0.786521	−	0.681524i
$344$	5.96558			0.321642
$345$	4.35922	−	7.07087i	0.234693	−	0.380683i
$346$	−16.5745			−0.891050
$347$	−0.994149	−	0.861435i	−0.0533687	−	0.0462442i	0.627768	−	0.778400i	$-0.283969\pi$
$347$	−0.994149	−	0.861435i	−0.0533687	−	0.0462442i	−0.681137	+	0.732156i	$0.738514\pi$
$348$	−0.807625	−	12.8143i	−0.0432932	−	0.686920i
$349$	−3.24718	−	22.5846i	−0.173817	−	1.20893i	−0.870727	−	0.491767i	$-0.836351\pi$
$349$	−3.24718	−	22.5846i	−0.173817	−	1.20893i	0.696909	−	0.717159i	$-0.254558\pi$
$350$	−0.738893	−	1.61795i	−0.0394955	−	0.0864830i
$351$	22.4913	+	2.18339i	1.20050	+	0.116541i
$352$	1.12230	+	3.82221i	0.0598190	+	0.203725i
$353$	−7.57515	+	11.7872i	−0.403184	+	0.627367i	−0.982175	−	0.187967i	$-0.939810\pi$
$353$	−7.57515	+	11.7872i	−0.403184	+	0.627367i	0.578991	+	0.815334i	$0.303447\pi$
$354$	−9.73697	+	7.16130i	−0.517514	+	0.380619i
$355$	−3.84319	+	13.0887i	−0.203975	+	0.694677i
$356$	9.19869	+	10.6159i	0.487530	+	0.562639i
$357$	7.78126	−	1.62391i	0.411828	−	0.0859462i
$358$	−8.36775	−	2.45699i	−0.442249	−	0.129856i
$359$	1.96382	−	4.30017i	0.103647	−	0.226954i	−0.850703	−	0.525647i	$-0.823823\pi$
$359$	1.96382	−	4.30017i	0.103647	−	0.226954i	0.954349	+	0.298693i	$0.0965505\pi$
$360$	2.99957	+	0.0507455i	0.158091	+	0.00267452i
$361$	−0.983029	+	0.288643i	−0.0517384	+	0.0151918i
$362$	2.97999	−	20.7263i	0.156625	−	1.08935i
$363$	0.672738	−	8.40629i	0.0353096	−	0.441216i
$364$	−7.65641	+	1.10082i	−0.401305	+	0.0576989i
$365$	−6.02874	+	3.87444i	−0.315559	+	0.202797i
$366$	−16.5291	+	6.00626i	−0.863987	+	0.313952i
$367$		−	2.79695i		−	0.146000i	−0.997332	−	0.0729999i	$-0.976743\pi$
$367$		−	2.79695i		−	0.146000i	0.997332	−	0.0729999i	$-0.0232573\pi$
$368$	−3.48210	−	3.29772i	−0.181517	−	0.171905i
$369$	−3.61907	+	2.24025i	−0.188401	+	0.116623i
$370$	7.31209	−	8.43860i	0.380137	−	0.438702i
$371$	−6.37320	−	9.91690i	−0.330880	−	0.514860i
$372$	1.01439	−	2.65099i	0.0525938	−	0.137448i
$373$	−4.59365	+	2.09785i	−0.237850	+	0.108623i	−0.530775	−	0.847513i	$-0.678099\pi$
$373$	−4.59365	+	2.09785i	−0.237850	+	0.108623i	0.292924	+	0.956136i	$0.405372\pi$
$374$	−10.1737	−	1.46275i	−0.526068	−	0.0756371i
$375$	1.68929	+	0.382475i	0.0872347	+	0.0197509i
$376$	1.84104	+	1.18316i	0.0949443	+	0.0610170i
$377$	−29.3245	−	13.3921i	−1.51029	−	0.689726i
$378$	2.19309	−	8.97835i	0.112801	−	0.461797i
$379$	−21.2936	+	18.4510i	−1.09378	+	0.947764i	−0.998861	−	0.0477215i	$-0.984804\pi$
$379$	−21.2936	+	18.4510i	−1.09378	+	0.947764i	−0.0949169	+	0.995485i	$0.530259\pi$
$380$	3.20419	−	2.77645i	0.164371	−	0.142429i
$381$	12.6328	+	12.8483i	0.647199	+	0.658241i
$382$	−5.49600	−	2.50994i	−0.281200	−	0.128420i
$383$	20.7230	+	13.3179i	1.05890	+	0.680513i	0.949590	−	0.313495i	$-0.101500\pi$
$383$	20.7230	+	13.3179i	1.05890	+	0.680513i	0.109309	+	0.994008i	$0.465136\pi$
$384$	0.382475	−	1.68929i	0.0195181	−	0.0862064i
$385$	7.01341	+	1.00838i	0.357436	+	0.0513916i
$386$	−7.86603	+	3.59230i	−0.400370	+	0.182843i
$387$	11.4894	+	13.7218i	0.584039	+	0.697516i
$388$	9.30059	+	14.4720i	0.472166	+	0.734704i
$389$	5.43237	−	6.26929i	0.275432	−	0.317865i	−0.601133	−	0.799149i	$-0.705284\pi$
$389$	5.43237	−	6.26929i	0.275432	−	0.317865i	0.876565	+	0.481284i	$0.159829\pi$
$390$	3.66565	−	6.58020i	0.185617	−	0.333202i
$391$	11.4720	−	4.63787i	0.580164	−	0.234547i
$392$		−	3.83628i		−	0.193761i
$393$	−11.8691	−	32.6634i	−0.598716	−	1.64765i
$394$	17.0395	−	10.9506i	0.858438	−	0.551685i
$395$	6.96525	−	1.00145i	0.350460	−	0.0503885i
$396$	−6.63019	+	9.94287i	−0.333179	+	0.499648i
$397$	−3.54183	+	24.6339i	−0.177759	+	1.23634i	0.684173	+	0.729319i	$0.260163\pi$
$397$	−3.54183	+	24.6339i	−0.177759	+	1.23634i	−0.861933	+	0.507023i	$0.830746\pi$
$398$	−8.75431	+	2.57050i	−0.438814	+	0.128847i
$399$	−6.16262	−	11.5165i	−0.308517	−	0.576547i
$400$	0.415415	−	0.909632i	0.0207708	−	0.0454816i
$401$	−19.2771	−	5.66027i	−0.962654	−	0.282661i	−0.237608	−	0.971361i	$-0.576363\pi$
$401$	−19.2771	−	5.66027i	−0.962654	−	0.282661i	−0.725046	+	0.688701i	$0.758181\pi$
$402$	−0.671384	−	3.21706i	−0.0334856	−	0.160453i
$403$	−4.66700	−	5.38600i	−0.232480	−	0.268296i
$404$	0.582937	−	1.98530i	0.0290022	−	0.0987724i
$405$	5.66030	+	6.99721i	0.281263	+	0.347694i
$406$	−7.12860	+	11.0923i	−0.353786	+	0.550502i
$407$	12.5315	+	42.6783i	0.621163	+	2.11549i
$408$	3.55482	+	2.70832i	0.175990	+	0.134082i
$409$	13.8959	+	30.4278i	0.687109	+	1.50456i	0.854931	+	0.518742i	$0.173600\pi$
$409$	13.8959	+	30.4278i	0.687109	+	1.50456i	−0.167821	+	0.985817i	$0.553673\pi$
$410$	0.201913	+	1.40434i	0.00997178	+	0.0693552i
$411$	26.2566	−	1.65483i	1.29515	−	0.0816266i
$412$	−13.6577	−	11.8344i	−0.672865	−	0.583041i
$413$	12.4123			0.610770
$414$	0.878907	−	14.3606i	0.0431959	−	0.705786i
$415$	−2.58851			−0.127065
$416$	−3.28660	−	2.84786i	−0.161139	−	0.139628i
$417$	5.48937	−	0.345968i	0.268816	−	0.0169421i
$418$	2.40361	+	16.7175i	0.117564	+	0.817678i
$419$	7.76515	+	17.0033i	0.379353	+	0.830666i	0.998953	+	0.0457489i	$0.0145674\pi$
$419$	7.76515	+	17.0033i	0.379353	+	0.830666i	−0.619600	+	0.784917i	$0.712705\pi$
$420$	−2.45058	−	1.86703i	−0.119576	−	0.0911018i
$421$	−9.88005	−	33.6484i	−0.481524	−	1.63992i	−0.739050	−	0.673650i	$-0.764725\pi$
$421$	−9.88005	−	33.6484i	−0.481524	−	1.63992i	0.257526	−	0.966271i	$-0.417093\pi$
$422$	3.03880	−	4.72846i	0.147926	−	0.230178i
$423$	0.824288	+	6.51339i	0.0400783	+	0.316692i
$424$	1.86718	−	6.35904i	0.0906784	−	0.308822i
$425$	1.68965	+	1.94996i	0.0819600	+	0.0945868i
$426$	4.82691	+	23.1291i	0.233865	+	1.12061i
$427$	17.3284	+	5.08809i	0.838582	+	0.246230i
$428$	−1.47818	+	3.23677i	−0.0714507	+	0.156455i
$429$	14.1569	+	26.4560i	0.683502	+	1.27731i
$430$	5.72393	−	1.68070i	0.276032	−	0.0810504i
$431$	0.974613	−	6.77858i	0.0469454	−	0.326513i	−0.952793	−	0.303622i	$-0.901804\pi$
$431$	0.974613	−	6.77858i	0.0469454	−	0.326513i	0.999738	−	0.0228906i	$-0.00728694\pi$
$432$	4.62227	−	2.37374i	0.222389	−	0.114207i
$433$	−9.88619	+	1.42142i	−0.475100	+	0.0683091i	−0.375706	−	0.926739i	$-0.622600\pi$
$433$	−9.88619	+	1.42142i	−0.475100	+	0.0683091i	−0.0993943	+	0.995048i	$0.531691\pi$
$434$	−2.45214	+	1.57590i	−0.117707	+	0.0756454i
$435$	−4.38512	−	12.0677i	−0.210251	−	0.578603i
$436$		−	7.06229i		−	0.338222i
$437$	−12.6232	−	15.9402i	−0.603850	−	0.762524i
$438$	−6.04063	+	10.8435i	−0.288632	+	0.518123i
$439$	−6.30030	+	7.27093i	−0.300697	+	0.347022i	−0.885910	−	0.463857i	$-0.846465\pi$
$439$	−6.30030	+	7.27093i	−0.300697	+	0.347022i	0.585214	+	0.810879i	$0.301011\pi$
$440$	2.15368	+	3.35120i	0.102673	+	0.159762i
$441$	8.82404	−	7.38848i	0.420192	−	0.351832i
$442$	10.2066	−	4.66121i	0.485479	−	0.221711i
$443$	5.22278	+	0.750923i	0.248142	+	0.0356774i	0.265263	−	0.964176i	$-0.414541\pi$
$443$	5.22278	+	0.750923i	0.248142	+	0.0356774i	−0.0171214	+	0.999853i	$0.505450\pi$
$444$	4.27067	−	18.8624i	0.202677	−	0.895171i
$445$	11.8169	+	7.59427i	0.560175	+	0.360003i
$446$	−23.3968	−	10.6849i	−1.10787	−	0.505947i
$447$	3.76569	+	3.82993i	0.178111	+	0.181150i
$448$	−1.34424	+	1.16479i	−0.0635094	+	0.0550312i
$449$	−6.26650	+	5.42995i	−0.295734	+	0.256255i	−0.790071	−	0.613015i	$-0.789956\pi$
$449$	−6.26650	+	5.42995i	−0.295734	+	0.256255i	0.494337	+	0.869271i	$0.335411\pi$
$450$	2.89236	−	0.796387i	0.136347	−	0.0375420i
$451$	−5.14107	−	2.34785i	−0.242083	−	0.110556i
$452$	−2.57125	−	1.65244i	−0.120941	−	0.0777242i
$453$	29.1352	+	6.59654i	1.36889	+	0.309932i
$454$	−13.0900	−	1.88205i	−0.614343	−	0.0883292i
$455$	−7.03613	+	3.21329i	−0.329859	+	0.150641i
$456$	2.62438	−	6.85850i	0.122898	−	0.321179i
$457$	−15.3446	−	23.8766i	−0.717788	−	1.11690i	−0.988053	−	0.154114i	$-0.950748\pi$
$457$	−15.3446	−	23.8766i	−0.717788	−	1.11690i	0.270265	−	0.962786i	$-0.412889\pi$
$458$	−16.3538	+	18.8733i	−0.764163	+	0.881892i
$459$	0.616847	+	13.3927i	0.0287920	+	0.625119i
$460$	−4.27013	−	2.18312i	−0.199096	−	0.101788i
$461$			33.6668i			1.56802i	0.620749	+	0.784009i	$0.286828\pi$
$461$			33.6668i			1.56802i	−0.620749	+	0.784009i	$0.713172\pi$
$462$	11.5346	−	4.19139i	0.536637	−	0.195001i
$463$	−25.4919	+	16.3826i	−1.18471	+	0.761365i	−0.976246	−	0.216665i	$-0.930482\pi$
$463$	−25.4919	+	16.3826i	−1.18471	+	0.761365i	−0.208462	+	0.978031i	$0.566846\pi$
$464$	−7.33758	+	1.05499i	−0.340639	+	0.0489765i
$465$	0.226431	−	2.82940i	0.0105005	−	0.131210i
$466$	2.92406	−	20.3373i	0.135455	−	0.942107i
$467$	−29.3303	+	8.61214i	−1.35724	+	0.398523i	−0.877790	−	0.479045i	$-0.840983\pi$
$467$	−29.3303	+	8.61214i	−1.35724	+	0.398523i	−0.479453	+	0.877568i	$0.659165\pi$
$468$	0.220682	−	13.0445i	0.0102010	−	0.602983i
$469$	−1.40197	+	3.06988i	−0.0647368	+	0.141754i
$470$	2.09980	+	0.616557i	0.0968565	+	0.0284396i
$471$	10.1128	−	2.11049i	0.465974	−	0.0972462i
$472$	4.56986	+	5.27390i	0.210345	+	0.242751i
$473$	−6.69519	+	22.8017i	−0.307845	+	1.04842i
$474$	9.81861	−	7.22135i	0.450984	−	0.331687i
$475$	2.29218	−	3.56670i	0.105172	−	0.163652i
$476$	−1.29296	−	4.40340i	−0.0592625	−	0.201830i
$477$	18.2229	−	7.95238i	0.834369	−	0.364115i
$478$	3.59482	+	7.87155i	0.164423	+	0.360036i
$479$	1.17234	+	8.15379i	0.0535655	+	0.372556i	0.998918	+	0.0465060i	$0.0148087\pi$
$479$	1.17234	+	8.15379i	0.0535655	+	0.372556i	−0.945353	+	0.326050i	$0.894282\pi$
$480$	−0.108947	−	1.72862i	−0.00497270	−	0.0789004i
$481$	−36.6977	−	31.7988i	−1.67327	−	1.44990i
$482$	−2.55197			−0.116239
$483$	−9.46464	+	11.3454i	−0.430656	+	0.516232i
$484$	−4.86889			−0.221313
$485$	13.0011	+	11.2655i	0.590349	+	0.511540i
$486$	14.3622	+	6.06022i	0.651484	+	0.274897i
$487$	0.402331	+	2.79827i	0.0182313	+	0.126802i	0.996905	−	0.0786217i	$-0.0250519\pi$
$487$	0.402331	+	2.79827i	0.0182313	+	0.126802i	−0.978673	+	0.205423i	$0.934143\pi$
$488$	4.21794	+	9.23601i	0.190937	+	0.418094i
$489$	−2.98884	+	3.92301i	−0.135160	+	0.177405i
$490$	−1.08080	−	3.68088i	−0.0488258	−	0.166285i
$491$	2.57226	−	4.00252i	0.116085	−	0.180631i	−0.778349	−	0.627832i	$-0.783943\pi$
$491$	2.57226	−	4.00252i	0.116085	−	0.180631i	0.894434	+	0.447200i	$0.147579\pi$
$492$	1.45597	+	1.97963i	0.0656402	+	0.0892487i
$493$	5.38866	−	18.3521i	0.242693	−	0.826536i
$494$	−12.0742	−	13.9344i	−0.543244	−	0.626936i
$495$	−3.56039	+	11.4081i	−0.160028	+	0.512754i
$496$	−1.57239	−	0.461696i	−0.0706026	−	0.0207308i
$497$	10.0794	−	22.0709i	0.452125	−	0.990015i
$498$	−3.95305	+	2.11532i	−0.177140	+	0.0947899i
$499$	20.7119	−	6.08155i	0.927191	−	0.272248i	0.216931	−	0.976187i	$-0.430395\pi$
$499$	20.7119	−	6.08155i	0.927191	−	0.272248i	0.710260	+	0.703939i	$0.248577\pi$
$500$	0.142315	−	0.989821i	0.00636451	−	0.0442662i
$501$	30.2389	+	2.41996i	1.35097	+	0.108116i
$502$	−11.5686	+	1.66331i	−0.516332	+	0.0742374i
$503$	9.79017	−	6.29176i	0.436522	−	0.280536i	−0.303867	−	0.952715i	$-0.598278\pi$
$503$	9.79017	−	6.29176i	0.436522	−	0.280536i	0.740389	+	0.672179i	$0.234641\pi$
$504$	−5.26814	−	0.848633i	−0.234662	−	0.0378011i
$505$		−	2.06911i		−	0.0920744i
$506$	16.5126	−	9.60831i	0.734073	−	0.427141i
$507$	−8.94554	−	4.98331i	−0.397285	−	0.221317i
$508$	6.81253	−	7.86208i	0.302257	−	0.348823i
$509$	−14.0077	−	21.7964i	−0.620881	−	0.966109i	−0.999182	−	0.0404271i	$-0.987128\pi$
$509$	−14.0077	−	21.7964i	−0.620881	−	0.966109i	0.378302	−	0.925682i	$-0.376508\pi$
$510$	4.17385	+	1.59711i	0.184821	+	0.0707210i
$511$	11.5948	−	5.29519i	0.512926	−	0.234245i
$512$	−0.989821	−	0.142315i	−0.0437443	−	0.00628949i
$513$	20.8300	−	7.17265i	0.919669	−	0.316680i
$514$	7.73614	+	4.97172i	0.341227	+	0.219293i
$515$	−16.4386	−	7.50725i	−0.724370	−	0.330809i
$516$	7.36784	−	7.24425i	0.324351	−	0.318910i
$517$	−6.58851	+	5.70898i	−0.289762	+	0.251080i
$518$	−15.0096	+	13.0059i	−0.659484	+	0.571446i
$519$	−20.4705	+	20.1271i	−0.898554	+	0.883481i
$520$	−3.95580	−	1.80655i	−0.173473	−	0.0792227i
$521$	−29.2639	−	18.8068i	−1.28207	−	0.823939i	−0.290932	−	0.956744i	$-0.593965\pi$
$521$	−29.2639	−	18.8068i	−1.28207	−	0.823939i	−0.991142	+	0.132805i	$0.957602\pi$
$522$	−16.5585	−	14.8457i	−0.724744	−	0.649780i
$523$	30.8921	+	4.44162i	1.35082	+	0.194218i	0.779445	−	0.626471i	$-0.215501\pi$
$523$	30.8921	+	4.44162i	1.35082	+	0.194218i	0.571374	+	0.820690i	$0.306411\pi$
$524$	−18.2515	+	8.33516i	−0.797318	+	0.364123i
$525$	−2.87732	−	1.10100i	−0.125577	−	0.0480514i
$526$	8.44714	+	13.1440i	0.368313	+	0.573106i
$527$	2.76895	−	3.19554i	0.120618	−	0.139200i
$528$	6.02759	+	3.35780i	0.262317	+	0.146130i
$529$	−11.3647	+	19.9961i	−0.494118	+	0.869395i
$530$		−	6.62750i		−	0.287880i
$531$	−3.32946	+	20.6686i	−0.144486	+	0.896943i
$532$	−6.34404	+	4.07707i	−0.275049	+	0.176763i
$533$	6.10717	−	0.878079i	0.264531	−	0.0380338i
$534$	24.2522	+	1.94086i	1.04950	+	0.0839891i
$535$	−0.506403	+	3.52211i	−0.0218937	+	0.152274i
$536$	−1.82053	+	0.534556i	−0.0786350	+	0.0230893i
$537$	−13.3183	+	7.12678i	−0.574727	+	0.307543i
$538$	−6.43577	+	14.0924i	−0.277466	+	0.607565i
$539$	14.6631	+	4.30547i	0.631584	+	0.185450i
$540$	3.76627	−	3.57983i	0.162075	−	0.154051i
$541$	−11.0691	−	12.7744i	−0.475896	−	0.549213i	0.466146	−	0.884708i	$-0.345642\pi$
$541$	−11.0691	−	12.7744i	−0.475896	−	0.549213i	−0.942042	+	0.335494i	$0.891097\pi$
$542$	−6.95464	+	23.6853i	−0.298727	+	1.01737i
$543$	−21.4884	−	29.2170i	−0.922154	−	1.25382i
$544$	1.39494	−	2.17057i	0.0598076	−	0.0930625i
$545$	−1.98968	−	6.77622i	−0.0852284	−	0.290261i
$546$	−8.11934	+	10.6571i	−0.347476	+	0.456081i
$547$	14.1747	+	31.0383i	0.606068	+	1.32710i	0.925231	+	0.379404i	$0.123871\pi$
$547$	14.1747	+	31.0383i	0.606068	+	1.32710i	−0.319163	+	0.947700i	$0.603402\pi$
$548$	−2.16167	−	15.0348i	−0.0923420	−	0.642253i
$549$	−13.1207	+	27.4900i	−0.559978	+	1.17325i
$550$	3.01059	+	2.60869i	0.128372	+	0.111235i
$551$	−31.4294			−1.33894
$552$	−8.30517	+	0.155587i	−0.353491	+	0.00662221i
$553$	−12.5164			−0.532251
$554$	19.6323	+	17.0115i	0.834097	+	0.722749i
$555$	−1.21648	−	19.3015i	−0.0516368	−	0.819305i
$556$	−0.451932	−	3.14326i	−0.0191662	−	0.133304i
$557$	2.89489	+	6.33892i	0.122660	+	0.268589i	0.960994	−	0.276568i	$-0.0891972\pi$
$557$	2.89489	+	6.33892i	0.122660	+	0.268589i	−0.838334	+	0.545157i	$0.816470\pi$
$558$	−1.96638	−	4.50595i	−0.0832434	−	0.190752i
$559$	−7.30901	−	24.8922i	−0.309138	−	1.05283i
$560$	−0.961630	+	1.49633i	−0.0406363	+	0.0632313i
$561$	−14.3414	+	10.5477i	−0.605493	+	0.445325i
$562$	−1.28993	+	4.39311i	−0.0544126	+	0.185312i
$563$	−6.69807	−	7.72999i	−0.282290	−	0.325780i	0.596841	−	0.802359i	$-0.296422\pi$
$563$	−6.69807	−	7.72999i	−0.282290	−	0.325780i	−0.879132	+	0.476579i	$0.841877\pi$
$564$	3.71056	−	0.774373i	0.156243	−	0.0326070i
$565$	−2.93264	−	0.861100i	−0.123377	−	0.0362268i
$566$	1.89628	−	4.15226i	0.0797064	−	0.174533i
$567$	−8.19419	−	13.7520i	−0.344124	−	0.577528i
$568$	13.0887	−	3.84319i	0.549190	−	0.161257i
$569$	−2.19311	+	15.2534i	−0.0919399	+	0.639456i	0.890791	+	0.454414i	$0.150151\pi$
$569$	−2.19311	+	15.2534i	−0.0919399	+	0.639456i	−0.982731	+	0.185042i	$0.940758\pi$
$570$	0.585810	−	7.32006i	0.0245369	−	0.306603i
$571$	−34.3472	+	4.93838i	−1.43739	+	0.206665i	−0.816549	−	0.577276i	$-0.804116\pi$
$571$	−34.3472	+	4.93838i	−1.43739	+	0.206665i	−0.620836	+	0.783941i	$0.713207\pi$
$572$	14.5737	−	9.36593i	0.609356	−	0.391609i
$573$	−9.83582	+	3.57410i	−0.410897	+	0.149310i
$574$		−	2.52356i		−	0.105331i
$575$	−4.71221	−	0.891650i	−0.196513	−	0.0371844i
$576$	−1.57900	−	2.55083i	−0.0657917	−	0.106285i
$577$	−26.3456	+	30.4044i	−1.09678	+	1.26575i	−0.135321	+	0.990802i	$0.543207\pi$
$577$	−26.3456	+	30.4044i	−1.09678	+	1.26575i	−0.961459	+	0.274950i	$0.911339\pi$
$578$	−5.59171	−	8.70088i	−0.232585	−	0.361909i
$579$	−5.35274	+	13.9888i	−0.222452	+	0.581353i
$580$	−6.74314	+	3.07949i	−0.279993	+	0.127869i
$581$	4.55728	+	0.655238i	0.189068	+	0.0271839i
$582$	29.0607	+	6.57969i	1.20461	+	0.272737i
$583$	22.2101	+	14.2735i	0.919847	+	0.591150i
$584$	6.51877	+	2.97702i	0.269749	+	0.123190i
$585$	−3.46332	−	12.5783i	−0.143191	−	0.520049i
$586$	8.01338	−	6.94364i	0.331030	−	0.286839i
$587$	18.4438	−	15.9817i	0.761258	−	0.659634i	−0.185112	−	0.982717i	$-0.559265\pi$
$587$	18.4438	−	15.9817i	0.761258	−	0.659634i	0.946371	+	0.323083i	$0.104719\pi$
$588$	−4.65856	−	4.73803i	−0.192116	−	0.195393i
$589$	−6.32012	−	2.88630i	−0.260416	−	0.118928i
$590$	5.87057	+	3.77279i	0.241688	+	0.155323i
$591$	7.74700	−	34.2165i	0.318669	−	1.40748i
$592$	−11.0522	−	1.58907i	−0.454243	−	0.0653103i
$593$	37.9615	−	17.3364i	1.55889	−	0.711922i	0.565293	−	0.824890i	$-0.308763\pi$
$593$	37.9615	−	17.3364i	1.55889	−	0.711922i	0.993599	+	0.112968i	$0.0360359\pi$
$594$	3.88537	+	20.3314i	0.159419	+	0.834206i
$595$	−2.48116	−	3.86076i	−0.101718	−	0.158276i
$596$	2.03073	−	2.34359i	0.0831819	−	0.0959970i
$597$	−7.69063	+	13.8054i	−0.314757	+	0.565019i
$598$	−9.49392	+	18.5699i	−0.388235	+	0.759380i
$599$			9.75025i			0.398385i	0.979960	+	0.199192i	$0.0638318\pi$
$599$			9.75025i			0.398385i	−0.979960	+	0.199192i	$0.936168\pi$
$600$	−0.591542	−	1.62791i	−0.0241496	−	0.0664590i
$601$	9.47178	−	6.08714i	0.386362	−	0.248300i	−0.333012	−	0.942923i	$-0.608065\pi$
$601$	9.47178	−	6.08714i	0.386362	−	0.248300i	0.719374	+	0.694623i	$0.244429\pi$
$602$	−10.5029	+	1.51009i	−0.428065	+	0.0615465i
$603$	−4.73582	−	3.15798i	−0.192857	−	0.128603i
$604$	2.45450	−	17.0714i	0.0998721	−	0.694626i
$605$	−4.67166	+	1.37172i	−0.189930	+	0.0557685i
$606$	−1.69087	−	3.15985i	−0.0686870	−	0.128360i
$607$	17.6825	−	38.7193i	0.717711	−	1.57157i	−0.0993748	−	0.995050i	$-0.531684\pi$
$607$	17.6825	−	38.7193i	0.717711	−	1.57157i	0.817085	−	0.576517i	$-0.195588\pi$
$608$	−4.06801	−	1.19448i	−0.164980	−	0.0484424i
$609$	4.66562	+	22.3562i	0.189061	+	0.905920i
$610$	6.64917	+	7.67355i	0.269217	+	0.310693i
$611$	2.68128	−	9.13160i	0.108473	−	0.369425i
$612$	7.67924	−	0.971830i	0.310415	−	0.0392839i
$613$	−17.8276	+	27.7402i	−0.720048	+	1.12042i	0.267570	+	0.963539i	$0.413779\pi$
$613$	−17.8276	+	27.7402i	−0.720048	+	1.12042i	−0.987618	+	0.156878i	$0.949857\pi$
$614$	0.388423	+	1.32285i	0.0156755	+	0.0533858i
$615$	1.95472	+	1.48925i	0.0788219	+	0.0600523i
$616$	−2.94344	−	6.44523i	−0.118594	−	0.259686i
$617$	−0.709779	−	4.93662i	−0.0285746	−	0.198741i	0.970533	−	0.240966i	$-0.0774643\pi$
$617$	−0.709779	−	4.93662i	−0.0285746	−	0.198741i	−0.999108	+	0.0422255i	$0.986555\pi$
$618$	−31.2391	+	1.96885i	−1.25662	+	0.0791986i
$619$	11.9828	+	10.3831i	0.481628	+	0.417333i	0.861540	−	0.507690i	$-0.169500\pi$
$619$	11.9828	+	10.3831i	0.481628	+	0.417333i	−0.379912	+	0.925023i	$0.624046\pi$
$620$	−1.63878			−0.0658148
$621$	−16.3532	−	18.8035i	−0.656232	−	0.754559i
$622$	4.76159			0.190923
$623$	−18.8823	−	16.3616i	−0.756502	−	0.655513i
$624$	−7.51742	+	0.473786i	−0.300938	+	0.0189666i
$625$	−0.142315	−	0.989821i	−0.00569259	−	0.0395929i
$626$	−11.2761	−	24.6911i	−0.450682	−	0.986856i
$627$	23.2693	+	17.7283i	0.929287	+	0.707998i
$628$	−1.68037	−	5.72283i	−0.0670542	−	0.228366i
$629$	15.5757	−	24.2363i	0.621045	−	0.966365i
$630$	−5.29383	+	0.669950i	−0.210911	+	0.0266914i
$631$	8.24070	−	28.0652i	0.328057	−	1.11726i	−0.616074	−	0.787689i	$-0.711278\pi$
$631$	8.24070	−	28.0652i	0.328057	−	1.11726i	0.944131	−	0.329571i	$-0.106904\pi$
$632$	−4.60817	−	5.31812i	−0.183303	−	0.211543i
$633$	−1.98887	−	9.53007i	−0.0790506	−	0.378786i
$634$	−24.1148	−	7.08074i	−0.957721	−	0.281212i
$635$	4.32157	−	9.46292i	0.171496	−	0.375524i
$636$	−5.41597	−	10.1212i	−0.214757	−	0.401331i
$637$	−16.0074	+	4.70020i	−0.634236	+	0.186229i
$638$	4.20262	−	29.2298i	0.166383	−	1.15722i
$639$	34.0481	+	22.7043i	1.34692	+	0.898167i
$640$	−0.989821	+	0.142315i	−0.0391261	+	0.00562549i
$641$	10.2590	−	6.59306i	0.405206	−	0.260410i	−0.322124	−	0.946697i	$-0.604397\pi$
$641$	10.2590	−	6.59306i	0.405206	−	0.260410i	0.727331	+	0.686287i	$0.240761\pi$
$642$	2.10490	+	5.79262i	0.0830738	+	0.228617i
$643$			27.5560i			1.08670i	0.839505	+	0.543352i	$0.182845\pi$
$643$			27.5560i			1.08670i	−0.839505	+	0.543352i	$0.817155\pi$
$644$	6.96529	+	4.92446i	0.274471	+	0.194051i
$645$	5.02845	−	9.02657i	0.197995	−	0.355421i
$646$	7.16368	−	8.26733i	0.281851	−	0.325274i
$647$	−16.2051	−	25.2156i	−0.637089	−	0.991329i	−0.998268	−	0.0588327i	$-0.981262\pi$
$647$	−16.2051	−	25.2156i	−0.637089	−	0.991329i	0.361179	−	0.932496i	$-0.382374\pi$
$648$	2.82624	−	8.54473i	0.111025	−	0.335669i
$649$	−25.2867	+	11.5481i	−0.992591	+	0.453301i
$650$	−4.30453	−	0.618898i	−0.168838	−	0.0242752i
$651$	−1.11486	+	4.92406i	−0.0436950	+	0.192989i
$652$	2.39539	+	1.53942i	0.0938107	+	0.0602885i
$653$	13.4307	+	6.13358i	0.525583	+	0.240026i	0.660493	−	0.750832i	$-0.270347\pi$
$653$	13.4307	+	6.13358i	0.525583	+	0.240026i	−0.134910	+	0.990858i	$0.543075\pi$
$654$	−8.57604	−	8.72235i	−0.335350	−	0.341071i
$655$	−15.1639	+	13.1396i	−0.592501	+	0.513405i
$656$	1.07224	−	0.929102i	0.0418640	−	0.0362753i
$657$	5.70721	+	20.7278i	0.222660	+	0.808668i
$658$	−3.54080	−	1.61703i	−0.138035	−	0.0630383i
$659$	22.5353	+	14.4825i	0.877850	+	0.564160i	0.900144	−	0.435592i	$-0.143461\pi$
$659$	22.5353	+	14.4825i	0.877850	+	0.564160i	−0.0222948	+	0.999751i	$0.507097\pi$
$660$	6.72943	+	1.52362i	0.261943	+	0.0593068i
$661$	19.9020	+	2.86148i	0.774099	+	0.111299i	0.518033	−	0.855361i	$-0.326664\pi$
$661$	19.9020	+	2.86148i	0.774099	+	0.111299i	0.256066	+	0.966659i	$0.417573\pi$
$662$	−18.4383	+	8.42050i	−0.716626	+	0.327272i
$663$	6.94549	−	18.1512i	0.269740	−	0.704934i
$664$	1.39945	+	2.17759i	0.0543094	+	0.0845071i
$665$	−4.93842	+	5.69924i	−0.191504	+	0.221007i
$666$	−17.6309	−	28.4823i	−0.683184	−	1.10367i
$667$	13.3250	+	32.9601i	0.515947	+	1.27622i
$668$		−	17.5142i		−	0.677646i
$669$	−41.8716	+	15.2151i	−1.61885	+	0.588251i
$670$	−1.59619	+	1.02581i	−0.0616660	+	0.0396304i
$671$	−40.0358	+	5.75628i	−1.54557	+	0.222219i
$672$	−0.245762	+	3.07096i	−0.00948049	+	0.118465i
$673$	1.83324	−	12.7505i	0.0706664	−	0.491496i	−0.923497	−	0.383607i	$-0.874682\pi$
$673$	1.83324	−	12.7505i	0.0706664	−	0.491496i	0.994163	−	0.107889i	$-0.0344091\pi$
$674$	−4.56771	+	1.34120i	−0.175942	+	0.0516611i
$675$	2.60516	−	4.49590i	0.100273	−	0.173047i
$676$	−2.45594	+	5.37776i	−0.0944593	+	0.206837i
$677$	−19.7536	−	5.80019i	−0.759194	−	0.222920i	−0.120850	−	0.992671i	$-0.538562\pi$
$677$	−19.7536	−	5.80019i	−0.759194	−	0.222920i	−0.638344	+	0.769751i	$0.720380\pi$
$678$	−5.18227	+	1.08151i	−0.199024	+	0.0415352i
$679$	−20.0378	−	23.1248i	−0.768980	−	0.887450i
$680$	0.726916	−	2.47565i	0.0278760	−	0.0949368i
$681$	−18.4524	+	13.5713i	−0.707096	+	0.520052i
$682$	3.52941	−	5.49186i	0.135148	−	0.210294i
$683$	−4.19383	−	14.2829i	−0.160472	−	0.546519i	−0.999995	−	0.00319398i	$-0.998983\pi$
$683$	−4.19383	−	14.2829i	−0.160472	−	0.546519i	0.839522	−	0.543325i	$-0.182835\pi$
$684$	−5.08730	−	11.6576i	−0.194518	−	0.445738i
$685$	−6.30989	−	13.8167i	−0.241088	−	0.527910i
$686$	2.74302	+	19.0781i	0.104729	+	0.728407i
$687$	2.72072	+	43.1688i	0.103802	+	1.64699i
$688$	−4.50848	−	3.90662i	−0.171884	−	0.148939i
$689$	−28.8216			−1.09802
$690$	−7.92492	+	2.48912i	−0.301696	+	0.0947592i
$691$	37.9584			1.44401			0.722003	−	0.691890i	$-0.243222\pi$
$691$	37.9584			1.44401			0.722003	+	0.691890i	$0.243222\pi$
$692$	12.5262	+	10.8540i	0.476173	+	0.412606i
$693$	9.15611	−	19.1835i	0.347812	−	0.728723i
$694$	0.187208	+	1.30206i	0.00710631	+	0.0494254i
$695$	−1.31918	−	2.88861i	−0.0500395	−	0.109571i
$696$	−7.78124	+	10.2133i	−0.294947	+	0.387134i
$697$	1.03133	+	3.51240i	0.0390645	+	0.133041i
$698$	−12.3357	+	19.1948i	−0.466914	+	0.726533i
$699$	−21.0850	−	28.6686i	−0.797510	−	1.08435i
$700$	−0.501114	+	1.70664i	−0.0189403	+	0.0645048i
$701$	−28.0617	−	32.3849i	−1.05987	−	1.22316i	−0.973927	−	0.226860i	$-0.927154\pi$
$701$	−28.0617	−	32.3849i	−1.05987	−	1.22316i	−0.0859470	−	0.996300i	$-0.527392\pi$
$702$	−15.5680	−	16.3787i	−0.587575	−	0.618176i
$703$	−45.4228	−	13.3373i	−1.71315	−	0.503028i
$704$	1.65484	−	3.62359i	0.0623690	−	0.136569i
$705$	3.34209	−	1.78839i	0.125870	−	0.0673547i
$706$	13.4439	−	3.94747i	0.505966	−	0.148565i
$707$	−0.523762	+	3.64284i	−0.0196981	+	0.137003i
$708$	12.0484	+	0.964206i	0.452805	+	0.0362371i
$709$	−17.9555	+	2.58161i	−0.674334	+	0.0969546i	−0.470971	−	0.882149i	$-0.656096\pi$
$709$	−17.9555	+	2.58161i	−0.674334	+	0.0969546i	−0.203363	+	0.979103i	$0.565187\pi$
$710$	11.4758	−	7.37503i	0.430678	−	0.276780i
$711$	3.35738	−	20.8419i	0.125912	−	0.781634i
$712$		−	14.0468i		−	0.526426i
$713$	−0.347349	+	7.85161i	−0.0130083	+	0.294045i
$714$	−6.94411	−	3.86837i	−0.259877	−	0.144770i
$715$	11.3447	−	13.0924i	0.424266	−	0.489629i
$716$	4.71493	+	7.33658i	0.176205	+	0.274181i
$717$	13.9986	+	5.35650i	0.522786	+	0.200042i
$718$	−4.30017	+	1.96382i	−0.160481	+	0.0732892i
$719$	44.4466	+	6.39045i	1.65758	+	0.238324i	0.906596	−	0.421999i	$-0.138671\pi$
$719$	44.4466	+	6.39045i	1.65758	+	0.238324i	0.750982	+	0.660323i	$0.229581\pi$
$720$	−2.23369	−	2.00265i	−0.0832448	−	0.0746344i
$721$	27.0411	+	17.3783i	1.00706	+	0.647201i
$722$	0.931945	+	0.425605i	0.0346834	+	0.0158394i
$723$	−3.15184	+	3.09897i	−0.117218	+	0.115252i
$724$	−15.8250	+	13.7124i	−0.588130	+	0.509618i
$725$	−5.60240	+	4.85451i	−0.208068	+	0.180292i
$726$	−6.01337	+	5.91250i	−0.223177	+	0.219433i
$727$	−25.0598	−	11.4444i	−0.929417	−	0.424451i	−0.107595	−	0.994195i	$-0.534315\pi$
$727$	−25.0598	−	11.4444i	−0.929417	−	0.424451i	−0.821822	+	0.569744i	$0.807042\pi$
$728$	6.50721	+	4.18193i	0.241173	+	0.154993i
$729$	25.0974	−	9.95593i	0.929533	−	0.368738i
$730$	7.09344	+	1.01988i	0.262540	+	0.0377475i
$731$	14.0012	−	6.39414i	0.517853	−	0.236496i
$732$	16.4251	+	6.28500i	0.607089	+	0.232300i
$733$	17.7367	+	27.5989i	0.655121	+	1.01939i	0.996828	+	0.0795817i	$0.0253584\pi$
$733$	17.7367	+	27.5989i	0.655121	+	1.01939i	−0.341707	+	0.939806i	$0.611005\pi$
$734$	−1.83162	+	2.11380i	−0.0676062	+	0.0780217i
$735$	−5.80471	−	3.23364i	−0.214110	−	0.119275i
$736$	0.472052	+	4.77254i	0.0174001	+	0.175918i
$737$		−	7.55840i		−	0.278417i
$738$	4.20216	+	0.676916i	0.154684	+	0.0249176i
$739$	−21.8603	+	14.0488i	−0.804144	+	0.516792i	−0.876966	−	0.480553i	$-0.840436\pi$
$739$	−21.8603	+	14.0488i	−0.804144	+	0.516792i	0.0728220	+	0.997345i	$0.476800\pi$
$740$	−11.0522	+	1.58907i	−0.406287	+	0.0584153i
$741$	−31.8334	−	2.54757i	−1.16943	−	0.0935872i
$742$	−1.67764	+	11.6683i	−0.0615881	+	0.428355i
$743$	−50.2146	+	14.7443i	−1.84219	+	0.540917i	−0.842196	+	0.539172i	$0.818737\pi$
$743$	−50.2146	+	14.7443i	−1.84219	+	0.540917i	−0.999998	+	0.00174553i	$0.999444\pi$
$744$	−2.50266	+	1.33920i	−0.0917519	+	0.0490975i
$745$	1.28821	−	2.82078i	0.0471962	−	0.103345i
$746$	4.84545	+	1.42275i	0.177405	+	0.0520907i
$747$	−2.31353	+	7.41290i	−0.0846475	+	0.271224i
$748$	6.73084	+	7.76781i	0.246104	+	0.284019i
$749$	1.78313	−	6.07277i	0.0651540	−	0.221894i
$750$	−1.02621	−	1.39531i	−0.0374721	−	0.0509494i
$751$	11.2663	−	17.5307i	0.411112	−	0.639703i	−0.572520	−	0.819891i	$-0.694034\pi$
$751$	11.2663	−	17.5307i	0.411112	−	0.639703i	0.983632	+	0.180188i	$0.0576705\pi$
$752$	−0.616557	−	2.09980i	−0.0224835	−	0.0765718i
$753$	−12.2681	+	16.1025i	−0.447074	+	0.586809i
$754$	13.3921	+	29.3245i	0.487710	+	1.06794i
$755$	−2.45450	−	17.0714i	−0.0893284	−	0.621292i
$756$	−7.53700	+	5.34921i	−0.274118	+	0.194549i
$757$	−26.6441	−	23.0872i	−0.968395	−	0.839119i	0.0186067	−	0.999827i	$-0.494077\pi$
$757$	−26.6441	−	23.0872i	−0.968395	−	0.839119i	−0.987002	+	0.160708i	$0.948622\pi$
$758$	28.1754			1.02338
$759$	8.72623	−	31.9187i	0.316742	−	1.15858i
$760$	−4.23975			−0.153792
$761$	−2.60298	−	2.25550i	−0.0943580	−	0.0817617i	0.606404	−	0.795156i	$-0.292611\pi$
$761$	−2.60298	−	2.25550i	−0.0943580	−	0.0817617i	−0.700762	+	0.713395i	$0.747157\pi$
$762$	−1.13337	−	17.9829i	−0.0410578	−	0.651451i
$763$	1.78770	+	12.4337i	0.0647191	+	0.450131i
$764$	2.50994	+	5.49600i	0.0908065	+	0.198838i
$765$	7.09438	−	3.09596i	0.256498	−	0.111935i
$766$	−6.94007	−	23.6357i	−0.250755	−	0.853993i
$767$	16.4071	−	25.5299i	0.592426	−	0.921832i
$768$	−1.39531	+	1.02621i	−0.0503488	+	0.0370303i
$769$	−8.01954	+	27.3121i	−0.289192	+	0.984898i	0.678885	+	0.734245i	$0.262464\pi$
$769$	−8.01954	+	27.3121i	−0.289192	+	0.984898i	−0.968077	+	0.250653i	$0.919355\pi$
$770$	−4.64004	−	5.35489i	−0.167215	−	0.192977i
$771$	15.5920	−	3.25396i	0.561531	−	0.117188i
$772$	8.29720	+	2.43628i	0.298623	+	0.0876836i
$773$	3.28365	−	7.19018i	0.118105	−	0.258613i	−0.841342	−	0.540503i	$-0.818234\pi$
$773$	3.28365	−	7.19018i	0.118105	−	0.258613i	0.959447	+	0.281890i	$0.0909613\pi$
$774$	0.302726	−	17.8942i	0.0108813	−	0.643193i
$775$	−1.57239	+	0.461696i	−0.0564820	+	0.0165846i
$776$	2.44823	−	17.0278i	0.0878862	−	0.611262i
$777$	−2.74415	+	34.2899i	−0.0984458	+	1.23014i
$778$	−8.21102	+	1.18057i	−0.294379	+	0.0423253i
$779$	5.06036	−	3.25210i	0.181306	−	0.116518i
$780$	−7.07943	+	2.57250i	−0.253484	+	0.0921101i
$781$			54.3411i			1.94448i
$782$	−11.7071	−	4.00749i	−0.418646	−	0.143308i
$783$	−38.4785	+	1.77226i	−1.37511	+	0.0633353i
$784$	−2.51223	+	2.89927i	−0.0897224	+	0.103545i
$785$	−3.22461	−	5.01760i	−0.115091	−	0.179086i
$786$	−12.4199	+	32.4579i	−0.443003	+	1.15774i
$787$	15.2814	−	6.97878i	0.544723	−	0.248767i	−0.123995	−	0.992283i	$-0.539571\pi$
$787$	15.2814	−	6.97878i	0.544723	−	0.248767i	0.668718	+	0.743516i	$0.266843\pi$
$788$	−20.0487	−	2.88257i	−0.714207	−	0.102687i
$789$	26.3940	+	5.97591i	0.939653	+	0.212748i
$790$	−5.91980	−	3.80442i	−0.210617	−	0.135355i
$791$	4.94517	+	2.25839i	0.175830	+	0.0802989i
$792$	11.5220	−	3.17247i	0.409415	−	0.112729i
$793$	33.3707	−	28.9159i	1.18503	−	1.02683i
$794$	18.8085	−	16.2977i	0.667490	−	0.578383i
$795$	−8.04805	−	8.18536i	−0.285435	−	0.290305i
$796$	8.29938	+	3.79020i	0.294164	+	0.134340i
$797$	2.14261	+	1.37697i	0.0758951	+	0.0487748i	0.578038	−	0.816010i	$-0.303819\pi$
$797$	2.14261	+	1.37697i	0.0758951	+	0.0487748i	−0.502143	+	0.864785i	$0.667455\pi$
$798$	−2.88432	+	12.7393i	−0.102104	+	0.450965i
$799$	5.58908	+	0.803588i	0.197727	+	0.0284289i
$800$	−0.909632	+	0.415415i	−0.0321603	+	0.0146871i
$801$	32.3098	−	27.0534i	1.14161	−	0.955886i
$802$	10.8620	+	16.9016i	0.383550	+	0.596816i
$803$	−18.6949	+	21.5750i	−0.659727	+	0.761366i
$804$	−1.59933	+	2.87096i	−0.0564041	+	0.101251i
$805$	8.07053	+	2.76264i	0.284449	+	0.0973703i
$806$			7.12670i			0.251027i
$807$	9.16440	+	25.2201i	0.322602	+	0.887791i
$808$	−1.74065	+	1.11865i	−0.0612359	+	0.0393539i
$809$	−25.0779	+	3.60566i	−0.881693	+	0.126768i	−0.568267	−	0.822844i	$-0.692386\pi$
$809$	−25.0779	+	3.60566i	−0.881693	+	0.126768i	−0.313426	+	0.949613i	$0.601477\pi$
$810$	0.304430	−	8.99485i	0.0106966	−	0.316047i
$811$	3.09314	−	21.5133i	0.108615	−	0.755433i	−0.860611	−	0.509262i	$-0.829918\pi$
$811$	3.09314	−	21.5133i	0.108615	−	0.755433i	0.969226	−	0.246171i	$-0.0791726\pi$
$812$	12.6514	−	3.71477i	0.443976	−	0.130363i
$813$	20.1727	+	37.6981i	0.707488	+	1.32213i
$814$	18.4777	−	40.4605i	0.647643	−	1.41814i
$815$	2.73207	+	0.802207i	0.0957001	+	0.0281001i
$816$	−0.912981	−	4.37472i	−0.0319607	−	0.153146i
$817$	−16.5631	−	19.1148i	−0.579469	−	0.668743i
$818$	9.42416	−	32.0957i	0.329508	−	1.12220i
$819$	2.91347	+	23.0218i	0.101805	+	0.804447i
$820$	0.767049	−	1.19355i	0.0267865	−	0.0416806i
$821$	8.37334	+	28.5170i	0.292232	+	0.995250i	0.966479	+	0.256744i	$0.0826499\pi$
$821$	8.37334	+	28.5170i	0.292232	+	0.995250i	−0.674248	+	0.738505i	$0.735532\pi$
$822$	−20.9271	−	15.9438i	−0.729918	−	0.556104i
$823$	5.74076	+	12.5705i	0.200110	+	0.438181i	0.982908	−	0.184095i	$-0.0589355\pi$
$823$	5.74076	+	12.5705i	0.200110	+	0.438181i	−0.782798	+	0.622276i	$0.786208\pi$
$824$	2.57187	+	17.8877i	0.0895953	+	0.623149i
$825$	6.88610	−	0.433997i	0.239743	−	0.0151098i
$826$	−9.38060	−	8.12834i	−0.326393	−	0.282821i
$827$	41.6704			1.44902			0.724511	−	0.689263i	$-0.242066\pi$
$827$	41.6704			1.44902			0.724511	+	0.689263i	$0.242066\pi$
$828$	−10.0684	+	10.2775i	−0.349903	+	0.357167i
$829$	23.1051			0.802475			0.401237	−	0.915974i	$-0.368580\pi$
$829$	23.1051			0.802475			0.401237	+	0.915974i	$0.368580\pi$
$830$	1.95627	+	1.69511i	0.0679030	+	0.0588383i
$831$	44.9048	−	2.83013i	1.55773	−	0.0981762i
$832$	0.618898	+	4.30453i	0.0214564	+	0.149233i
$833$	−4.11187	−	9.00374i	−0.142468	−	0.311961i
$834$	−4.37515	−	3.33331i	−0.151499	−	0.115423i
$835$	−4.93433	−	16.8048i	−0.170759	−	0.581553i
$836$	9.13108	−	14.2082i	0.315805	−	0.491402i
$837$	−7.90036	−	3.17727i	−0.273077	−	0.109822i
$838$	5.26629	−	17.9353i	0.181921	−	0.619566i
$839$	−4.66010	−	5.37804i	−0.160884	−	0.185670i	0.669584	−	0.742736i	$-0.266472\pi$
$839$	−4.66010	−	5.37804i	−0.160884	−	0.185670i	−0.830468	+	0.557066i	$0.811927\pi$
$840$	0.629381	+	3.01580i	0.0217157	+	0.104055i
$841$	24.9018	+	7.31184i	0.858684	+	0.252132i
$842$	−14.5682	+	31.8998i	−0.502052	+	1.09934i
$843$	3.74159	+	6.99217i	0.128867	+	0.240823i
$844$	−5.39305	+	1.58354i	−0.185636	+	0.0545078i
$845$	−0.841368	+	5.85185i	−0.0289440	+	0.201310i
$846$	3.64241	−	5.46229i	0.125229	−	0.187797i
$847$	8.57207	−	1.23248i	0.294540	−	0.0423484i
$848$	−5.57541	+	3.58310i	−0.191460	+	0.123044i
$849$	−2.70026	−	7.43102i	−0.0926725	−	0.255032i
$850$		−	2.58016i		−	0.0884989i
$851$	5.27087	+	53.2896i	0.180683	+	1.82674i
$852$	11.4984	−	20.6407i	0.393928	−	0.707140i
$853$	−18.5273	+	21.3816i	−0.634361	+	0.732092i	−0.978367	−	0.206876i	$-0.933670\pi$
$853$	−18.5273	+	21.3816i	−0.634361	+	0.732092i	0.344006	+	0.938967i	$0.388216\pi$
$854$	−9.76397	−	15.1930i	−0.334116	−	0.519895i
$855$	−8.16555	−	9.75208i	−0.279256	−	0.333514i
$856$	3.23677	−	1.47818i	0.110630	−	0.0505233i
$857$	42.1628	+	6.06209i	1.44025	+	0.207077i	0.817765	−	0.575553i	$-0.195213\pi$
$857$	42.1628	+	6.06209i	1.44025	+	0.207077i	0.622488	+	0.782630i	$0.286122\pi$
$858$	6.62591	−	29.2649i	0.226205	−	0.999088i
$859$	−6.17375	−	3.96763i	−0.210645	−	0.135374i	0.431064	−	0.902321i	$-0.358138\pi$
$859$	−6.17375	−	3.96763i	−0.210645	−	0.135374i	−0.641710	+	0.766948i	$0.721775\pi$
$860$	−5.42648	−	2.47819i	−0.185041	−	0.0845056i
$861$	−3.06446	−	3.11675i	−0.104437	−	0.106218i
$862$	−5.17559	+	4.48467i	−0.176281	+	0.152749i
$863$	19.4009	−	16.8109i	0.660413	−	0.572251i	−0.258839	−	0.965920i	$-0.583340\pi$
$863$	19.4009	−	16.8109i	0.660413	−	0.572251i	0.919252	+	0.393670i	$0.128795\pi$
$864$	−5.04775	−	1.23299i	−0.171728	−	0.0419470i
$865$	15.0767	+	6.88529i	0.512622	+	0.234107i
$866$	8.40231	+	5.39984i	0.285522	+	0.183494i
$867$	−17.4719	−	3.95585i	−0.593378	−	0.134348i
$868$	2.88520	+	0.414829i	0.0979300	+	0.0140802i
$869$	25.4987	−	11.6449i	0.864986	−	0.395026i
$870$	−4.58863	+	11.9918i	−0.155569	+	0.406561i
$871$	4.46102	+	6.94149i	0.151156	+	0.235203i
$872$	−4.62482	+	5.33732i	−0.156616	+	0.180745i
$873$	43.8817	−	27.1634i	1.48517	−	0.919341i
$874$	−0.898641	+	20.3133i	−0.0303970	+	0.687106i
$875$			1.77869i			0.0601305i
$876$	11.6662	−	4.23922i	0.394164	−	0.143230i
$877$	17.3668	−	11.1610i	0.586436	−	0.376879i	−0.213520	−	0.976939i	$-0.568493\pi$
$877$	17.3668	−	11.1610i	0.586436	−	0.376879i	0.799955	+	0.600059i	$0.204856\pi$
$878$	9.52289	−	1.36919i	0.321382	−	0.0462078i
$879$	1.46506	−	18.3068i	0.0494151	−	0.617473i
$880$	0.566922	−	3.94303i	0.0191109	−	0.132920i
$881$	38.7566	−	11.3800i	1.30574	−	0.383401i	0.446415	−	0.894826i	$-0.352701\pi$
$881$	38.7566	−	11.3800i	1.30574	−	0.383401i	0.859328	+	0.511426i	$0.170882\pi$
$882$	−11.5072	−	0.194674i	−0.387467	−	0.00655501i
$883$	11.4857	−	25.1501i	0.386524	−	0.846369i	−0.611937	−	0.790907i	$-0.709609\pi$
$883$	11.4857	−	25.1501i	0.386524	−	0.846369i	0.998461	−	0.0554627i	$-0.0176634\pi$
$884$	−10.7661	−	3.16121i	−0.362103	−	0.106323i
$885$	11.8320	−	2.46927i	0.397727	−	0.0830035i
$886$	−3.45537	−	3.98771i	−0.116085	−	0.133970i
$887$	−3.98303	+	13.5649i	−0.133737	+	0.455466i	−0.998944	−	0.0459488i	$-0.985369\pi$
$887$	−3.98303	+	13.5649i	−0.133737	+	0.455466i	0.865207	+	0.501415i	$0.167187\pi$
$888$	−15.5798	+	11.4586i	−0.522824	+	0.384525i
$889$	−10.0039	+	15.5663i	−0.335518	+	0.522077i
$890$	−3.95744	−	13.4778i	−0.132654	−	0.451777i
$891$	29.4879	+	20.3923i	0.987881	+	0.683167i
$892$	10.6849	+	23.3968i	0.357759	+	0.783382i
$893$	−1.32046	−	9.18402i	−0.0441876	−	0.307332i
$894$	−0.337844	−	5.36047i	−0.0112992	−	0.179281i
$895$	6.59090	+	5.71105i	0.220310	+	0.190899i
$896$	1.77869			0.0594217
$897$	10.8247	+	34.4638i	0.361425	+	1.15071i
$898$	8.29177			0.276700
$899$	9.18108	+	7.95545i	0.306206	+	0.265329i
$900$	−2.70743	−	1.29223i	−0.0902475	−	0.0430742i
$901$	−2.43359	−	16.9260i	−0.0810746	−	0.563886i
$902$	2.34785	+	5.14107i	0.0781747	+	0.171179i
$903$	−11.1379	+	14.6191i	−0.370647	+	0.486494i
$904$	0.861100	+	2.93264i	0.0286398	+	0.0975381i
$905$	−11.3207	+	17.6154i	−0.376313	+	0.585555i
$906$	−17.6991	−	24.0648i	−0.588013	−	0.799500i
$907$	−1.37558	+	4.68480i	−0.0456754	+	0.155556i	−0.979173	−	0.203027i	$-0.934922\pi$
$907$	−1.37558	+	4.68480i	−0.0456754	+	0.155556i	0.933498	+	0.358583i	$0.116740\pi$
$908$	8.66026	+	9.99447i	0.287401	+	0.331678i
$909$	−5.92547	−	1.84931i	−0.196535	−	0.0613376i
$910$	7.42181	+	2.17924i	0.246031	+	0.0722411i
$911$	−14.4315	+	31.6007i	−0.478138	+	1.04698i	0.504833	+	0.863217i	$0.331554\pi$
$911$	−14.4315	+	31.6007i	−0.478138	+	1.04698i	−0.982971	+	0.183760i	$0.941173\pi$
$912$	−6.47474	+	3.46471i	−0.214400	+	0.114728i
$913$	−9.89385	+	2.90510i	−0.327439	+	0.0961446i
$914$	−4.03920	+	28.0933i	−0.133605	+	0.929243i
$915$	17.5304	+	1.40293i	0.579539	+	0.0463793i
$916$	24.7188	−	3.55402i	0.816731	−	0.117428i
$917$	30.0232	−	19.2948i	0.991455	−	0.637169i
$918$	8.30419	−	10.5255i	0.274079	−	0.347393i
$919$		−	17.7159i		−	0.584394i	−0.956358	−	0.292197i	$-0.905614\pi$
$919$		−	17.7159i		−	0.584394i	0.956358	−	0.292197i	$-0.0943863\pi$
$920$	1.79751	+	4.44623i	0.0592622	+	0.146588i
$921$	2.08612	+	1.16212i	0.0687398	+	0.0382931i
$922$	22.0470	−	25.4437i	0.726081	−	0.837942i
$923$	−32.0725	−	49.9058i	−1.05568	−	1.64267i
$924$	−11.4620	−	4.38590i	−0.377073	−	0.144286i
$925$	−10.1568	+	4.63847i	−0.333954	+	0.152512i
$926$	29.9938	+	4.31246i	0.985658	+	0.141716i
$927$	−36.1913	+	40.3666i	−1.18868	+	1.32581i
$928$	6.23624	+	4.00779i	0.204715	+	0.131562i
$929$	26.9109	+	12.2898i	0.882918	+	0.403215i	0.804672	−	0.593719i	$-0.202341\pi$
$929$	26.9109	+	12.2898i	0.882918	+	0.403215i	0.0782455	+	0.996934i	$0.475068\pi$
$930$	−2.02399	+	1.99003i	−0.0663691	+	0.0652558i
$931$	−12.2922	+	10.6512i	−0.402859	+	0.349080i
$932$	−15.5280	+	13.4550i	−0.508635	+	0.440735i
$933$	5.88085	−	5.78221i	0.192530	−	0.189301i
$934$	27.8061	+	12.6986i	0.909843	+	0.415511i
$935$	8.64664	+	5.55686i	0.282775	+	0.181729i
$936$	−8.70912	+	9.71387i	−0.284667	+	0.317508i
$937$	−34.6265	−	4.97855i	−1.13120	−	0.162642i	−0.448808	−	0.893628i	$-0.648151\pi$
$937$	−34.6265	−	4.97855i	−1.13120	−	0.162642i	−0.682392	+	0.730986i	$0.739060\pi$
$938$	3.06988	−	1.40197i	0.100235	−	0.0457759i
$939$	−43.9101	−	16.8020i	−1.43295	−	0.548313i
$940$	−1.18316	−	1.84104i	−0.0385905	−	0.0600481i
$941$	−6.83274	+	7.88541i	−0.222741	+	0.257057i	−0.856111	−	0.516793i	$-0.827126\pi$
$941$	−6.83274	+	7.88541i	−0.222741	+	0.257057i	0.633370	+	0.773849i	$0.281671\pi$
$942$	−9.02483	−	5.02748i	−0.294045	−	0.163804i
$943$	−5.55590	−	3.92802i	−0.180925	−	0.127914i
$944$		−	6.97836i		−	0.227126i
$945$	−5.72465	+	7.25595i	−0.186223	+	0.236036i
$946$	19.9918	−	12.8480i	0.649990	−	0.417723i
$947$	31.9616	−	4.59538i	1.03861	−	0.149330i	0.398150	−	0.917320i	$-0.369652\pi$
$947$	31.9616	−	4.59538i	1.03861	−	0.149330i	0.640461	+	0.767991i	$0.278743\pi$
$948$	−12.1494	−	0.972291i	−0.394594	−	0.0315785i
$949$	4.43526	−	30.8479i	0.143975	−	1.00137i
$950$	−4.06801	+	1.19448i	−0.131984	+	0.0387539i
$951$	−38.3816	+	20.5385i	−1.24461	+	0.666005i
$952$	−1.90646	+	4.17457i	−0.0617889	+	0.135299i
$953$	18.7966	+	5.51918i	0.608882	+	0.178784i	0.571615	−	0.820522i	$-0.306317\pi$
$953$	18.7966	+	5.51918i	0.608882	+	0.178784i	0.0372661	+	0.999305i	$0.488135\pi$
$954$	−18.9796	−	5.92344i	−0.614489	−	0.191778i
$955$	3.95667	+	4.56624i	0.128035	+	0.147760i
$956$	2.43799	−	8.30302i	0.0788501	−	0.268539i
$957$	−30.3045	−	41.2040i	−0.979607	−	1.33194i
$958$	4.45360	−	6.92994i	0.143889	−	0.223896i
$959$	7.61159	+	25.9227i	0.245791	+	0.837088i
$960$	−1.04967	+	1.37775i	−0.0338779	+	0.0444667i
$961$	−11.7622	−	25.7557i	−0.379427	−	0.830829i
$962$	6.91053	+	48.0638i	0.222804	+	1.54964i
$963$	9.63391	+	4.59817i	0.310448	+	0.148174i
$964$	1.92865	+	1.67118i	0.0621176	+	0.0538252i
$965$	8.64749			0.278372
$966$	14.5825	−	2.37624i	0.469185	−	0.0764542i
$967$	−35.1818			−1.13137			−0.565685	−	0.824622i	$-0.691388\pi$
$967$	−35.1818			−1.13137			−0.565685	+	0.824622i	$0.691388\pi$
$968$	3.67966	+	3.18844i	0.118269	+	0.102480i
$969$	−1.19179	−	18.9098i	−0.0382859	−	0.607471i
$970$	−2.44823	−	17.0278i	−0.0786079	−	0.546730i
$971$	22.7718	+	49.8632i	0.730781	+	1.60019i	0.798150	+	0.602458i	$0.205812\pi$
$971$	22.7718	+	49.8632i	0.730781	+	1.60019i	−0.0673697	+	0.997728i	$0.521461\pi$
$972$	−6.88565	−	13.9853i	−0.220857	−	0.448578i
$973$	1.59133	+	5.41956i	0.0510155	+	0.173743i
$974$	1.52842	−	2.37826i	0.0489736	−	0.0762045i
$975$	−6.06791	+	4.46280i	−0.194329	+	0.142924i
$976$	2.86059	−	9.74228i	0.0915653	−	0.311843i
$977$	38.8081	+	44.7870i	1.24158	+	1.43286i	0.861382	+	0.507958i	$0.169600\pi$
$977$	38.8081	+	44.7870i	1.24158	+	1.43286i	0.380201	+	0.924904i	$0.375855\pi$
$978$	4.82784	−	1.00754i	0.154377	−	0.0322177i
$979$	53.6899	+	15.7648i	1.71594	+	0.503844i
$980$	−1.59365	+	3.48960i	−0.0509072	+	0.111471i
$981$	−21.1838	−	0.358380i	−0.676348	−	0.0114422i
$982$	−4.56508	+	1.34043i	−0.145678	+	0.0427748i
$983$	1.44471	−	10.0482i	0.0460790	−	0.320487i	−0.953725	−	0.300681i	$-0.902786\pi$
$983$	1.44471	−	10.0482i	0.0460790	−	0.320487i	0.999804	−	0.0198058i	$-0.00630478\pi$
$984$	0.196034	−	2.44956i	0.00624933	−	0.0780892i
$985$	−20.0487	+	2.88257i	−0.638806	+	0.0918464i
$986$	−16.0905	+	10.3408i	−0.512427	+	0.329317i
$987$	−6.33672	+	2.30261i	−0.201700	+	0.0732930i
$988$			18.4378i			0.586585i
$989$	−13.0235	+	25.4738i	−0.414125	+	0.810019i
$990$	10.1614	−	6.29007i	0.322952	−	0.199912i
$991$	39.5095	−	45.5964i	1.25506	−	1.44842i	0.411479	−	0.911419i	$-0.365012\pi$
$991$	39.5095	−	45.5964i	1.25506	−	1.44842i	0.843582	−	0.537000i	$-0.180442\pi$
$992$	0.885989	+	1.37863i	0.0281302	+	0.0437714i
$993$	−12.5471	+	32.7903i	−0.398169	+	1.04057i
$994$	−22.0709	+	10.0794i	−0.700046	+	0.319700i
$995$	9.03102	+	1.29846i	0.286303	+	0.0411641i
$996$	4.37276	+	0.990042i	0.138556	+	0.0313707i
$997$	15.5207	+	9.97457i	0.491547	+	0.315898i	0.762827	−	0.646603i	$-0.223811\pi$
$997$	15.5207	+	9.97457i	0.491547	+	0.315898i	−0.271281	+	0.962500i	$0.587447\pi$
$998$	−19.6356	−	8.96726i	−0.621553	−	0.283854i
$999$	−56.3624	−	13.7674i	−1.78323	−	0.435580i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	690.2.q.a.191.1	✓	160
3.2	odd	2		690.2.q.b.191.11	yes	160
23.10	odd	22		690.2.q.b.401.11	yes	160
69.56	even	22	inner	690.2.q.a.401.1	yes	160

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
690.2.q.a.191.1	✓	160	1.1	even	1	trivial
690.2.q.a.401.1	yes	160	69.56	even	22	inner
690.2.q.b.191.11	yes	160	3.2	odd	2
690.2.q.b.401.11	yes	160	23.10	odd	22

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:	\( N \)	\(=\)	\( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	690.q (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.755750 - 0.654861i) q^{2} +(-1.72862 + 0.108947i) q^{3} +(0.142315 + 0.989821i) q^{4} +(0.415415 + 0.909632i) q^{5} +(1.37775 + 1.04967i) q^{6} +(-0.501114 - 1.70664i) q^{7} +(0.540641 - 0.841254i) q^{8} +(2.97626 - 0.376654i) q^{9} +O(q^{10})\)	\(q+(-0.755750 - 0.654861i) q^{2} +(-1.72862 + 0.108947i) q^{3} +(0.142315 + 0.989821i) q^{4} +(0.415415 + 0.909632i) q^{5} +(1.37775 + 1.04967i) q^{6} +(-0.501114 - 1.70664i) q^{7} +(0.540641 - 0.841254i) q^{8} +(2.97626 - 0.376654i) q^{9} +(0.281733 - 0.959493i) q^{10} +(2.60869 + 3.01059i) q^{11} +(-0.353846 - 1.69552i) q^{12} +(-4.17264 - 1.22520i) q^{13} +(-0.738893 + 1.61795i) q^{14} +(-0.817196 - 1.52715i) q^{15} +(-0.959493 + 0.281733i) q^{16} +(0.367196 - 2.55390i) q^{17} +(-2.49596 - 1.66438i) q^{18} +(-4.19659 + 0.603379i) q^{19} +(-0.841254 + 0.540641i) q^{20} +(1.05217 + 2.89553i) q^{21} -3.98358i q^{22} +(2.41198 + 4.14516i) q^{23} +(-0.842911 + 1.51311i) q^{24} +(-0.654861 + 0.755750i) q^{25} +(2.35114 + 3.65844i) q^{26} +(-5.10379 + 0.975346i) q^{27} +(1.61795 - 0.738893i) q^{28} +(7.33758 + 1.05499i) q^{29} +(-0.382475 + 1.68929i) q^{30} +(1.37863 + 0.885989i) q^{31} +(0.909632 + 0.415415i) q^{32} +(-4.83743 - 4.91996i) q^{33} +(-1.94996 + 1.68965i) q^{34} +(1.34424 - 1.16479i) q^{35} +(0.796387 + 2.89236i) q^{36} +(10.1568 + 4.63847i) q^{37} +(3.56670 + 2.29218i) q^{38} +(7.34639 + 1.66331i) q^{39} +(0.989821 + 0.142315i) q^{40} +(-1.29057 + 0.589381i) q^{41} +(1.10100 - 2.87732i) q^{42} +(3.22523 + 5.01856i) q^{43} +(-2.60869 + 3.01059i) q^{44} +(1.57900 + 2.55083i) q^{45} +(0.891650 - 4.71221i) q^{46} +2.18845i q^{47} +(1.62791 - 0.591542i) q^{48} +(3.22728 - 2.07405i) q^{49} +(0.989821 - 0.142315i) q^{50} +(-0.356503 + 4.45473i) q^{51} +(0.618898 - 4.30453i) q^{52} +(6.35904 - 1.86718i) q^{53} +(4.49590 + 2.60516i) q^{54} +(-1.65484 + 3.62359i) q^{55} +(-1.70664 - 0.501114i) q^{56} +(7.18859 - 1.50022i) q^{57} +(-4.85451 - 5.60240i) q^{58} +(-1.96603 + 6.69569i) q^{59} +(1.39531 - 1.02621i) q^{60} +(-5.48943 + 8.54172i) q^{61} +(-0.461696 - 1.57239i) q^{62} +(-2.13426 - 4.89065i) q^{63} +(-0.415415 - 0.909632i) q^{64} +(-0.618898 - 4.30453i) q^{65} +(0.433997 + 6.88610i) q^{66} +(-1.43395 - 1.24253i) q^{67} +2.58016 q^{68} +(-4.62100 - 6.90263i) q^{69} -1.77869 q^{70} +(10.3094 + 8.93314i) q^{71} +(1.29223 - 2.70743i) q^{72} +(1.01988 + 7.09344i) q^{73} +(-4.63847 - 10.1568i) q^{74} +(1.04967 - 1.37775i) q^{75} +(-1.19448 - 4.06801i) q^{76} +(3.83073 - 5.96073i) q^{77} +(-4.46280 - 6.06791i) q^{78} +(1.98252 - 6.75183i) q^{79} +(-0.654861 - 0.755750i) q^{80} +(8.71626 - 2.24204i) q^{81} +(1.36131 + 0.399716i) q^{82} +(-1.07531 + 2.35459i) q^{83} +(-2.71632 + 1.45354i) q^{84} +(2.47565 - 0.726916i) q^{85} +(0.848990 - 5.90485i) q^{86} +(-12.7988 - 1.02427i) q^{87} +(3.94303 - 0.566922i) q^{88} +(11.8169 - 7.59427i) q^{89} +(0.477112 - 2.96182i) q^{90} +7.73514i q^{91} +(-3.75971 + 2.97735i) q^{92} +(-2.47965 - 1.38134i) q^{93} +(1.43313 - 1.65392i) q^{94} +(-2.29218 - 3.56670i) q^{95} +(-1.61767 - 0.618994i) q^{96} +(15.6483 - 7.14634i) q^{97} +(-3.79723 - 0.545959i) q^{98} +(8.89809 + 7.97772i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 160 q + 16 q^{4} - 16 q^{5} - 2 q^{6} + 42 q^{9}+O(q^{10}) \) 160 * q + 16 * q^4 - 16 * q^5 - 2 * q^6 + 42 * q^9	\( 160 q + 16 q^{4} - 16 q^{5} - 2 q^{6} + 42 q^{9} - 12 q^{11} - 12 q^{14} - 16 q^{16} - 8 q^{18} + 16 q^{20} + 62 q^{21} + 4 q^{23} + 2 q^{24} - 16 q^{25} + 42 q^{27} - 2 q^{30} - 4 q^{31} + 16 q^{33} + 2 q^{36} + 72 q^{38} - 124 q^{39} + 44 q^{41} + 44 q^{43} + 12 q^{44} - 2 q^{45} + 4 q^{46} + 70 q^{49} - 2 q^{51} - 52 q^{53} + 92 q^{54} + 10 q^{55} - 54 q^{56} - 38 q^{57} - 36 q^{58} - 44 q^{61} - 220 q^{63} + 16 q^{64} - 34 q^{66} - 44 q^{67} + 22 q^{69} - 12 q^{70} - 36 q^{72} - 28 q^{73} - 24 q^{74} - 88 q^{77} - 54 q^{78} - 44 q^{79} - 16 q^{80} - 66 q^{81} - 28 q^{82} + 4 q^{83} - 18 q^{84} + 158 q^{86} - 64 q^{87} + 80 q^{89} - 8 q^{90} - 4 q^{92} + 4 q^{93} + 24 q^{94} - 2 q^{96} - 88 q^{98} + 190 q^{99}+O(q^{100}) \) 160 * q + 16 * q^4 - 16 * q^5 - 2 * q^6 + 42 * q^9 - 12 * q^11 - 12 * q^14 - 16 * q^16 - 8 * q^18 + 16 * q^20 + 62 * q^21 + 4 * q^23 + 2 * q^24 - 16 * q^25 + 42 * q^27 - 2 * q^30 - 4 * q^31 + 16 * q^33 + 2 * q^36 + 72 * q^38 - 124 * q^39 + 44 * q^41 + 44 * q^43 + 12 * q^44 - 2 * q^45 + 4 * q^46 + 70 * q^49 - 2 * q^51 - 52 * q^53 + 92 * q^54 + 10 * q^55 - 54 * q^56 - 38 * q^57 - 36 * q^58 - 44 * q^61 - 220 * q^63 + 16 * q^64 - 34 * q^66 - 44 * q^67 + 22 * q^69 - 12 * q^70 - 36 * q^72 - 28 * q^73 - 24 * q^74 - 88 * q^77 - 54 * q^78 - 44 * q^79 - 16 * q^80 - 66 * q^81 - 28 * q^82 + 4 * q^83 - 18 * q^84 + 158 * q^86 - 64 * q^87 + 80 * q^89 - 8 * q^90 - 4 * q^92 + 4 * q^93 + 24 * q^94 - 2 * q^96 - 88 * q^98 + 190 * q^99

Introduction

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