LMFDB - Embedded newform 91.2.ba.a.89.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [91,2,Mod(45,91)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(91, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([2, 5]))

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

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

chi := DirichletCharacter("91.45");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 91 = 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	91.ba (of order $12$, 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:	$0.726638658394$
Analytic rank:	$0$
Dimension:	$28$
Relative dimension:	$7$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			89.7
Character	$\chi$	$=$	91.89
Dual form			91.2.ba.a.45.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.74384 + 1.74384i) q^{2} +(-0.146239 - 0.0844309i) q^{3} +4.08193i q^{4} +(-0.638637 - 2.38343i) q^{5} +(-0.107782 - 0.402250i) q^{6} +(-2.04541 - 1.67818i) q^{7} +(-3.63054 + 3.63054i) q^{8} +(-1.48574 - 2.57338i) q^{9} +O(q^{10})$	\(q+(1.74384 + 1.74384i) q^{2} +(-0.146239 - 0.0844309i) q^{3} +4.08193i q^{4} +(-0.638637 - 2.38343i) q^{5} +(-0.107782 - 0.402250i) q^{6} +(-2.04541 - 1.67818i) q^{7} +(-3.63054 + 3.63054i) q^{8} +(-1.48574 - 2.57338i) q^{9} +(3.04263 - 5.26998i) q^{10} +(1.17950 + 4.40195i) q^{11} +(0.344641 - 0.596935i) q^{12} +(1.54835 + 3.25617i) q^{13} +(-0.640394 - 6.49333i) q^{14} +(-0.107841 + 0.402470i) q^{15} -4.49827 q^{16} +0.112710 q^{17} +(1.89666 - 7.07845i) q^{18} +(-3.32660 - 0.891360i) q^{19} +(9.72897 - 2.60687i) q^{20} +(0.157428 + 0.418111i) q^{21} +(-5.61943 + 9.73314i) q^{22} +0.652493i q^{23} +(0.837454 - 0.224395i) q^{24} +(-0.942740 + 0.544291i) q^{25} +(-2.97816 + 8.37828i) q^{26} +1.00836i q^{27} +(6.85021 - 8.34922i) q^{28} +(-2.82213 - 4.88807i) q^{29} +(-0.889899 + 0.513783i) q^{30} +(5.34937 + 1.43336i) q^{31} +(-0.583169 - 0.583169i) q^{32} +(0.199172 - 0.743322i) q^{33} +(0.196548 + 0.196548i) q^{34} +(-2.69354 + 5.94684i) q^{35} +(10.5044 - 6.06469i) q^{36} +(1.09952 - 1.09952i) q^{37} +(-4.24666 - 7.35543i) q^{38} +(0.0484931 - 0.606906i) q^{39} +(10.9717 + 6.33453i) q^{40} +(-10.6793 - 2.86152i) q^{41} +(-0.454588 + 1.00365i) q^{42} +(6.08601 + 3.51376i) q^{43} +(-17.9684 + 4.81463i) q^{44} +(-5.18462 + 5.18462i) q^{45} +(-1.13784 + 1.13784i) q^{46} +(-5.72325 + 1.53354i) q^{47} +(0.657821 + 0.379793i) q^{48} +(1.36743 + 6.86514i) q^{49} +(-2.59314 - 0.694830i) q^{50} +(-0.0164826 - 0.00951622i) q^{51} +(-13.2914 + 6.32024i) q^{52} +(-2.41079 - 4.17561i) q^{53} +(-1.75841 + 1.75841i) q^{54} +(9.73846 - 5.62250i) q^{55} +(13.5186 - 1.33325i) q^{56} +(0.411219 + 0.411219i) q^{57} +(3.60266 - 13.4453i) q^{58} +(2.79191 + 2.79191i) q^{59} +(-1.64285 - 0.440201i) q^{60} +(13.2845 - 7.66982i) q^{61} +(6.82887 + 11.8280i) q^{62} +(-1.27964 + 7.75697i) q^{63} +6.96264i q^{64} +(6.77201 - 5.76988i) q^{65} +(1.64355 - 0.948907i) q^{66} +(-6.07826 + 1.62866i) q^{67} +0.460075i q^{68} +(0.0550906 - 0.0954197i) q^{69} +(-15.0674 + 5.67322i) q^{70} +(3.56578 - 0.955449i) q^{71} +(14.7368 + 3.94872i) q^{72} +(-0.651157 + 2.43015i) q^{73} +3.83477 q^{74} +0.183820 q^{75} +(3.63847 - 13.5789i) q^{76} +(4.97470 - 10.9832i) q^{77} +(1.14291 - 0.973780i) q^{78} +(6.11315 - 10.5883i) q^{79} +(2.87276 + 10.7213i) q^{80} +(-4.37209 + 7.57269i) q^{81} +(-13.6330 - 23.6130i) q^{82} +(-3.34105 + 3.34105i) q^{83} +(-1.70670 + 0.642610i) q^{84} +(-0.0719809 - 0.268637i) q^{85} +(4.48558 + 16.7404i) q^{86} +0.953099i q^{87} +(-20.2637 - 11.6992i) q^{88} +(-6.14338 - 6.14338i) q^{89} -18.0822 q^{90} +(2.29743 - 9.25861i) q^{91} -2.66343 q^{92} +(-0.661264 - 0.661264i) q^{93} +(-12.6547 - 7.30617i) q^{94} +8.49797i q^{95} +(0.0360444 + 0.134519i) q^{96} +(1.04426 + 3.89722i) q^{97} +(-9.58711 + 14.3562i) q^{98} +(9.57547 - 9.57547i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 28 q - 2 q^{2} - 6 q^{3} - 6 q^{5} - 12 q^{6} - 6 q^{7} - 4 q^{8} + 6 q^{9}+O(q^{10}) $ 28 * q - 2 * q^2 - 6 * q^3 - 6 * q^5 - 12 * q^6 - 6 * q^7 - 4 * q^8 + 6 * q^9	$ 28 q - 2 q^{2} - 6 q^{3} - 6 q^{5} - 12 q^{6} - 6 q^{7} - 4 q^{8} + 6 q^{9} - 6 q^{10} + 2 q^{11} - 8 q^{12} - 20 q^{14} + 10 q^{15} + 4 q^{16} - 12 q^{17} + 2 q^{18} + 14 q^{19} + 36 q^{20} - 6 q^{21} - 8 q^{22} - 18 q^{24} + 24 q^{26} + 2 q^{28} - 8 q^{29} - 30 q^{30} - 4 q^{31} + 10 q^{32} - 12 q^{33} - 12 q^{34} - 20 q^{35} + 54 q^{36} - 10 q^{37} - 20 q^{39} + 48 q^{40} - 18 q^{41} - 10 q^{42} + 48 q^{43} - 6 q^{44} - 6 q^{45} + 24 q^{46} - 6 q^{47} - 12 q^{48} - 50 q^{49} + 10 q^{50} - 12 q^{51} - 26 q^{52} + 12 q^{53} - 30 q^{54} + 6 q^{55} + 54 q^{56} + 12 q^{57} - 46 q^{58} + 42 q^{59} + 10 q^{60} + 30 q^{61} + 36 q^{62} + 54 q^{63} + 28 q^{65} + 66 q^{66} - 10 q^{67} - 42 q^{69} - 88 q^{70} - 42 q^{71} + 46 q^{72} + 40 q^{73} + 12 q^{74} - 40 q^{75} - 52 q^{76} - 62 q^{78} + 4 q^{79} + 30 q^{80} - 6 q^{81} - 54 q^{82} + 66 q^{83} + 104 q^{84} - 54 q^{85} - 18 q^{86} - 6 q^{88} + 72 q^{90} + 26 q^{91} - 156 q^{92} + 20 q^{93} - 18 q^{94} - 66 q^{96} - 62 q^{97} - 56 q^{98} - 36 q^{99}+O(q^{100}) $ 28 * q - 2 * q^2 - 6 * q^3 - 6 * q^5 - 12 * q^6 - 6 * q^7 - 4 * q^8 + 6 * q^9 - 6 * q^10 + 2 * q^11 - 8 * q^12 - 20 * q^14 + 10 * q^15 + 4 * q^16 - 12 * q^17 + 2 * q^18 + 14 * q^19 + 36 * q^20 - 6 * q^21 - 8 * q^22 - 18 * q^24 + 24 * q^26 + 2 * q^28 - 8 * q^29 - 30 * q^30 - 4 * q^31 + 10 * q^32 - 12 * q^33 - 12 * q^34 - 20 * q^35 + 54 * q^36 - 10 * q^37 - 20 * q^39 + 48 * q^40 - 18 * q^41 - 10 * q^42 + 48 * q^43 - 6 * q^44 - 6 * q^45 + 24 * q^46 - 6 * q^47 - 12 * q^48 - 50 * q^49 + 10 * q^50 - 12 * q^51 - 26 * q^52 + 12 * q^53 - 30 * q^54 + 6 * q^55 + 54 * q^56 + 12 * q^57 - 46 * q^58 + 42 * q^59 + 10 * q^60 + 30 * q^61 + 36 * q^62 + 54 * q^63 + 28 * q^65 + 66 * q^66 - 10 * q^67 - 42 * q^69 - 88 * q^70 - 42 * q^71 + 46 * q^72 + 40 * q^73 + 12 * q^74 - 40 * q^75 - 52 * q^76 - 62 * q^78 + 4 * q^79 + 30 * q^80 - 6 * q^81 - 54 * q^82 + 66 * q^83 + 104 * q^84 - 54 * q^85 - 18 * q^86 - 6 * q^88 + 72 * q^90 + 26 * q^91 - 156 * q^92 + 20 * q^93 - 18 * q^94 - 66 * q^96 - 62 * q^97 - 56 * q^98 - 36 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/91\mathbb{Z}\right)^\times$.

$n$	$15$	$66$
$\chi(n)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{5}{6}\right)$

Coefficient data

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

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

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

$2$	1.74384	+	1.74384i	1.23308	+	1.23308i	0.962775	+	0.270303i	$0.0871238\pi$
$2$	1.74384	+	1.74384i	1.23308	+	1.23308i	0.270303	+	0.962775i	$0.412876\pi$
$3$	−0.146239	−	0.0844309i	−0.0844309	−	0.0487462i	0.457190	−	0.889369i	$-0.348856\pi$
$3$	−0.146239	−	0.0844309i	−0.0844309	−	0.0487462i	−0.541621	+	0.840623i	$0.682189\pi$
$4$			4.08193i			2.04096i
$5$	−0.638637	−	2.38343i	−0.285607	−	1.06590i	−0.948394	−	0.317093i	$-0.897293\pi$
$5$	−0.638637	−	2.38343i	−0.285607	−	1.06590i	0.662787	−	0.748808i	$-0.269373\pi$
$6$	−0.107782	−	0.402250i	−0.0440020	−	0.164218i
$7$	−2.04541	−	1.67818i	−0.773093	−	0.634292i
$7$	−2.04541	−	1.67818i	−0.773093	−	0.634292i
$8$	−3.63054	+	3.63054i	−1.28359	+	1.28359i
$9$	−1.48574	−	2.57338i	−0.495248	−	0.857794i
$10$	3.04263	−	5.26998i	0.962163	−	1.66652i
$11$	1.17950	+	4.40195i	0.355633	+	1.32724i	0.879687	+	0.475554i	$0.157752\pi$
$11$	1.17950	+	4.40195i	0.355633	+	1.32724i	−0.524054	+	0.851685i	$0.675581\pi$
$12$	0.344641	−	0.596935i	0.0994892	−	0.172320i
$13$	1.54835	+	3.25617i	0.429434	+	0.903098i
$13$	1.54835	+	3.25617i	0.429434	+	0.903098i
$14$	−0.640394	−	6.49333i	−0.171152	−	1.73542i
$15$	−0.107841	+	0.402470i	−0.0278445	+	0.103917i
$16$	−4.49827			−1.12457
$17$	0.112710			0.0273362			0.0136681	−	0.999907i	$-0.495649\pi$
$17$	0.112710			0.0273362			0.0136681	+	0.999907i	$0.495649\pi$
$18$	1.89666	−	7.07845i	0.447048	−	1.66841i
$19$	−3.32660	−	0.891360i	−0.763175	−	0.204492i	−0.143820	−	0.989604i	$-0.545939\pi$
$19$	−3.32660	−	0.891360i	−0.763175	−	0.204492i	−0.619354	+	0.785112i	$0.712605\pi$
$20$	9.72897	−	2.60687i	2.17546	−	0.582914i
$21$	0.157428	+	0.418111i	0.0343536	+	0.0912392i
$22$	−5.61943	+	9.73314i	−1.19807	+	2.07511i
$23$			0.652493i			0.136054i	0.997683	+	0.0680271i	$0.0216704\pi$
$23$			0.652493i			0.136054i	−0.997683	+	0.0680271i	$0.978330\pi$
$24$	0.837454	−	0.224395i	0.170945	−	0.0458045i
$25$	−0.942740	+	0.544291i	−0.188548	+	0.108858i
$26$	−2.97816	+	8.37828i	−0.584065	+	1.64312i
$27$			1.00836i			0.194058i
$28$	6.85021	−	8.34922i	1.29457	−	1.57785i
$29$	−2.82213	−	4.88807i	−0.524056	−	0.907691i	−0.999608	−	0.0280035i	$-0.991085\pi$
$29$	−2.82213	−	4.88807i	−0.524056	−	0.907691i	0.475552	−	0.879688i	$-0.342248\pi$
$30$	−0.889899	+	0.513783i	−0.162473	+	0.0938036i
$31$	5.34937	+	1.43336i	0.960774	+	0.257439i	0.704928	−	0.709279i	$-0.250979\pi$
$31$	5.34937	+	1.43336i	0.960774	+	0.257439i	0.255846	+	0.966717i	$0.417646\pi$
$32$	−0.583169	−	0.583169i	−0.103091	−	0.103091i
$33$	0.199172	−	0.743322i	0.0346715	−	0.129396i
$34$	0.196548	+	0.196548i	0.0337077	+	0.0337077i
$35$	−2.69354	+	5.94684i	−0.455292	+	1.00520i
$36$	10.5044	−	6.06469i	1.75073	−	1.01078i
$37$	1.09952	−	1.09952i	0.180760	−	0.180760i	−0.610927	−	0.791687i	$-0.709203\pi$
$37$	1.09952	−	1.09952i	0.180760	−	0.180760i	0.791687	+	0.610927i	$0.209203\pi$
$38$	−4.24666	−	7.35543i	−0.688899	−	1.19321i
$39$	0.0484931	−	0.606906i	0.00776511	−	0.0971827i
$40$	10.9717	+	6.33453i	1.73478	+	1.00158i
$41$	−10.6793	−	2.86152i	−1.66783	−	0.446894i	−0.703306	−	0.710887i	$-0.748294\pi$
$41$	−10.6793	−	2.86152i	−1.66783	−	0.446894i	−0.964525	+	0.263993i	$0.914960\pi$
$42$	−0.454588	+	1.00365i	−0.0701444	+	0.154866i
$43$	6.08601	+	3.51376i	0.928108	+	0.535843i	0.886213	−	0.463279i	$-0.153327\pi$
$43$	6.08601	+	3.51376i	0.928108	+	0.535843i	0.0418951	+	0.999122i	$0.486660\pi$
$44$	−17.9684	+	4.81463i	−2.70885	+	0.725833i
$45$	−5.18462	+	5.18462i	−0.772877	+	0.772877i
$46$	−1.13784	+	1.13784i	−0.167766	+	0.167766i
$47$	−5.72325	+	1.53354i	−0.834822	+	0.223690i	−0.650816	−	0.759235i	$-0.725573\pi$
$47$	−5.72325	+	1.53354i	−0.834822	+	0.223690i	−0.184006	+	0.982925i	$0.558907\pi$
$48$	0.657821	+	0.379793i	0.0949483	+	0.0548184i
$49$	1.36743	+	6.86514i	0.195347	+	0.980734i
$50$	−2.59314	−	0.694830i	−0.366725	−	0.0982637i
$51$	−0.0164826	−	0.00951622i	−0.00230802	−	0.00133254i
$52$	−13.2914	+	6.32024i	−1.84319	+	0.876459i
$53$	−2.41079	−	4.17561i	−0.331147	−	0.573564i	0.651590	−	0.758571i	$-0.274102\pi$
$53$	−2.41079	−	4.17561i	−0.331147	−	0.573564i	−0.982737	+	0.185008i	$0.940769\pi$
$54$	−1.75841	+	1.75841i	−0.239289	+	0.239289i
$55$	9.73846	−	5.62250i	1.31313	−	0.758138i
$56$	13.5186	−	1.33325i	1.80650	−	0.178163i
$57$	0.411219	+	0.411219i	0.0544673	+	0.0544673i
$58$	3.60266	−	13.4453i	0.473052	−	1.76546i
$59$	2.79191	+	2.79191i	0.363476	+	0.363476i	0.865091	−	0.501615i	$-0.167261\pi$
$59$	2.79191	+	2.79191i	0.363476	+	0.363476i	−0.501615	+	0.865091i	$0.667261\pi$
$60$	−1.64285	−	0.440201i	−0.212091	−	0.0568297i
$61$	13.2845	−	7.66982i	1.70091	−	0.982020i	0.756067	−	0.654495i	$-0.227119\pi$
$61$	13.2845	−	7.66982i	1.70091	−	0.982020i	0.944842	−	0.327526i	$-0.106215\pi$
$62$	6.82887	+	11.8280i	0.867268	+	1.50215i
$63$	−1.27964	+	7.75697i	−0.161220	+	0.977287i
$64$			6.96264i			0.870330i
$65$	6.77201	−	5.76988i	0.839964	−	0.715666i
$66$	1.64355	−	0.948907i	0.202308	−	0.116802i
$67$	−6.07826	+	1.62866i	−0.742577	+	0.198973i	−0.610223	−	0.792230i	$-0.708920\pi$
$67$	−6.07826	+	1.62866i	−0.742577	+	0.198973i	−0.132354	+	0.991203i	$0.542254\pi$
$68$			0.460075i			0.0557923i
$69$	0.0550906	−	0.0954197i	0.00663213	−	0.0114872i
$70$	−15.0674	+	5.67322i	−1.80090	+	0.678079i
$71$	3.56578	−	0.955449i	0.423181	−	0.113391i	−0.0409427	−	0.999161i	$-0.513036\pi$
$71$	3.56578	−	0.955449i	0.423181	−	0.113391i	0.464123	+	0.885771i	$0.346369\pi$
$72$	14.7368	+	3.94872i	1.73675	+	0.465361i
$73$	−0.651157	+	2.43015i	−0.0762122	+	0.284428i	−0.993505	−	0.113785i	$-0.963703\pi$
$73$	−0.651157	+	2.43015i	−0.0762122	+	0.284428i	0.917293	+	0.398212i	$0.130369\pi$
$74$	3.83477			0.445783
$75$	0.183820			0.0212257
$76$	3.63847	−	13.5789i	0.417361	−	1.55761i
$77$	4.97470	−	10.9832i	0.566920	−	1.25165i
$78$	1.14291	−	0.973780i	0.129409	−	0.110259i
$79$	6.11315	−	10.5883i	0.687783	−	1.19128i	−0.284770	−	0.958596i	$-0.591917\pi$
$79$	6.11315	−	10.5883i	0.687783	−	1.19128i	0.972553	−	0.232680i	$-0.0747493\pi$
$80$	2.87276	+	10.7213i	0.321185	+	1.19868i
$81$	−4.37209	+	7.57269i	−0.485788	+	0.841410i
$82$	−13.6330	−	23.6130i	−1.50551	−	2.60762i
$83$	−3.34105	+	3.34105i	−0.366728	+	0.366728i	−0.866283	−	0.499554i	$-0.833497\pi$
$83$	−3.34105	+	3.34105i	−0.366728	+	0.366728i	0.499554	+	0.866283i	$0.333497\pi$
$84$	−1.70670	+	0.642610i	−0.186216	+	0.0701145i
$85$	−0.0719809	−	0.268637i	−0.00780743	−	0.0291377i
$86$	4.48558	+	16.7404i	0.483693	+	1.80517i
$87$			0.953099i			0.102183i
$88$	−20.2637	−	11.6992i	−2.16011	−	1.24714i
$89$	−6.14338	−	6.14338i	−0.651197	−	0.651197i	0.302084	−	0.953281i	$-0.402318\pi$
$89$	−6.14338	−	6.14338i	−0.651197	−	0.651197i	−0.953281	+	0.302084i	$0.902318\pi$
$90$	−18.0822			−1.90604
$91$	2.29743	−	9.25861i	0.240836	−	0.970566i
$92$	−2.66343			−0.277682
$93$	−0.661264	−	0.661264i	−0.0685699	−	0.0685699i
$94$	−12.6547	−	7.30617i	−1.30523	−	0.753574i
$95$			8.49797i			0.871873i
$96$	0.0360444	+	0.134519i	0.00367876	+	0.0137293i
$97$	1.04426	+	3.89722i	0.106028	+	0.395703i	0.998460	−	0.0554799i	$-0.0176689\pi$
$97$	1.04426	+	3.89722i	0.106028	+	0.395703i	−0.892431	+	0.451183i	$0.851002\pi$
$98$	−9.58711	+	14.3562i	−0.968444	+	1.45020i
$99$	9.57547	−	9.57547i	0.962371	−	0.962371i
$100$	−2.22176	−	3.84820i	−0.222176	−	0.384820i
$101$	2.26018	−	3.91475i	0.224897	−	0.389532i	−0.731392	−	0.681957i	$-0.761129\pi$
$101$	2.26018	−	3.91475i	0.224897	−	0.389532i	0.956288	+	0.292425i	$0.0944622\pi$
$102$	−0.0121482	−	0.0453376i	−0.00120285	−	0.00448910i
$103$	−6.72989	+	11.6565i	−0.663115	+	1.14855i	0.316677	+	0.948533i	$0.397433\pi$
$103$	−6.72989	+	11.6565i	−0.663115	+	1.14855i	−0.979793	+	0.200016i	$0.935901\pi$
$104$	−17.4430	−	6.20031i	−1.71042	−	0.607990i
$105$	0.895997	−	0.642239i	0.0874404	−	0.0626762i
$106$	3.07755	−	11.4856i	0.298919	−	1.11558i
$107$	8.25997			0.798521			0.399261	−	0.916837i	$-0.369267\pi$
$107$	8.25997			0.798521			0.399261	+	0.916837i	$0.369267\pi$
$108$	−4.11603			−0.396066
$109$	3.48535	−	13.0075i	0.333836	−	1.24589i	−0.571289	−	0.820749i	$-0.693557\pi$
$109$	3.48535	−	13.0075i	0.333836	−	1.24589i	0.905125	−	0.425145i	$-0.139777\pi$
$110$	26.7870	+	7.17755i	2.55404	+	0.684353i
$111$	−0.253626	+	0.0679589i	−0.0240731	+	0.00645037i
$112$	9.20082	+	7.54891i	0.869396	+	0.713305i
$113$	1.14314	−	1.97997i	0.107537	−	0.186260i	−0.807235	−	0.590231i	$-0.799037\pi$
$113$	1.14314	−	1.97997i	0.107537	−	0.186260i	0.914772	+	0.403970i	$0.132370\pi$
$114$			1.43420i			0.134325i
$115$	1.55517	−	0.416707i	0.145020	−	0.0388581i
$116$	19.9527	−	11.5197i	1.85256	−	1.06958i
$117$	6.07892	−	8.82231i	0.561996	−	0.815623i
$118$			9.73726i			0.896388i
$119$	−0.230539	−	0.189148i	−0.0211335	−	0.0173392i
$120$	−1.06966	−	1.85270i	−0.0976461	−	0.169128i
$121$	−8.45969	+	4.88420i	−0.769063	+	0.444018i
$122$	36.5409	+	9.79112i	3.30826	+	0.886446i
$123$	1.32013	+	1.32013i	0.119032	+	0.119032i
$124$	−5.85086	+	21.8357i	−0.525423	+	1.96091i
$125$	−6.82460	−	6.82460i	−0.610411	−	0.610411i
$126$	−15.7584	+	11.2954i	−1.40387	+	1.00627i
$127$	−4.38857	+	2.53374i	−0.389422	+	0.224833i	−0.681910	−	0.731436i	$-0.738850\pi$
$127$	−4.38857	+	2.53374i	−0.389422	+	0.224833i	0.292488	+	0.956269i	$0.405517\pi$
$128$	−13.3080	+	13.3080i	−1.17628	+	1.17628i
$129$	−0.593340	−	1.02769i	−0.0522406	−	0.0904834i
$130$	21.8710	+	1.74754i	1.91821	+	0.153269i
$131$	−4.92213	−	2.84179i	−0.430048	−	0.248288i	0.269319	−	0.963051i	$-0.413201\pi$
$131$	−4.92213	−	2.84179i	−0.430048	−	0.248288i	−0.699367	+	0.714763i	$0.746535\pi$
$132$	3.03418	+	0.813007i	0.264092	+	0.0707632i
$133$	5.30841	+	7.40583i	0.460297	+	0.642167i
$134$	−13.4396	−	7.75936i	−1.16100	−	0.670306i
$135$	2.40334	−	0.643974i	0.206847	−	0.0554244i
$136$	−0.409199	+	0.409199i	−0.0350885	+	0.0350885i
$137$	−6.04202	+	6.04202i	−0.516205	+	0.516205i	−0.916421	−	0.400216i	$-0.868935\pi$
$137$	−6.04202	+	6.04202i	−0.516205	+	0.516205i	0.400216	+	0.916421i	$0.368935\pi$
$138$	0.262465	−	0.0703274i	0.0223425	−	0.00598666i
$139$	9.91348	+	5.72355i	0.840850	+	0.485465i	0.857553	−	0.514395i	$-0.171984\pi$
$139$	9.91348	+	5.72355i	0.840850	+	0.485465i	−0.0167030	+	0.999860i	$0.505317\pi$
$140$	−24.2746	−	10.9948i	−2.05158	−	0.929234i
$141$	0.966439	+	0.258957i	0.0813888	+	0.0218081i
$142$	7.88429	+	4.55200i	0.661635	+	0.381995i
$143$	−12.5072	+	10.6564i	−1.04591	+	0.891133i
$144$	6.68327	+	11.5758i	0.556939	+	0.964647i
$145$	−9.84803	+	9.84803i	−0.817835	+	0.817835i
$146$	−5.37330	+	3.10227i	−0.444697	+	0.256746i
$147$	0.379660	−	1.11940i	0.0313138	−	0.0923267i
$148$	4.48817	+	4.48817i	0.368925	+	0.368925i
$149$	−1.97417	+	7.36771i	−0.161730	+	0.603586i	0.836704	+	0.547655i	$0.184479\pi$
$149$	−1.97417	+	7.36771i	−0.161730	+	0.603586i	−0.998435	+	0.0559311i	$0.982187\pi$
$150$	0.320552	+	0.320552i	0.0261730	+	0.0261730i
$151$	6.37363	+	1.70781i	0.518679	+	0.138980i	0.508656	−	0.860970i	$-0.330143\pi$
$151$	6.37363	+	1.70781i	0.518679	+	0.138980i	0.0100235	+	0.999950i	$0.496809\pi$
$152$	15.3135	−	8.84123i	1.24209	−	0.717119i
$153$	−0.167458	−	0.290046i	−0.0135382	−	0.0234489i
$154$	27.8280	−	10.4779i	2.24244	−	0.844331i
$155$		−	13.6652i		−	1.09762i
$156$	2.47734	+	0.197945i	0.198346	+	0.0158483i
$157$	8.20626	−	4.73788i	0.654931	−	0.378124i	−0.135412	−	0.990789i	$-0.543236\pi$
$157$	8.20626	−	4.73788i	0.654931	−	0.378124i	0.790343	+	0.612665i	$0.209903\pi$
$158$	29.1246	−	7.80390i	2.31703	−	0.620845i
$159$			0.814180i			0.0645687i
$160$	−1.01751	+	1.76238i	−0.0804411	+	0.139328i
$161$	1.09500	−	1.33462i	0.0862982	−	0.105183i
$162$	−20.8297	+	5.58131i	−1.63654	+	0.438509i
$163$	−17.8485	−	4.78249i	−1.39800	−	0.374594i	−0.520376	−	0.853937i	$-0.674208\pi$
$163$	−17.8485	−	4.78249i	−1.39800	−	0.374594i	−0.877627	+	0.479344i	$0.840875\pi$
$164$	11.6805	−	43.5922i	0.912094	−	3.40398i
$165$	−1.89885			−0.147825
$166$	−11.6525			−0.904409
$167$	−4.24807	+	15.8540i	−0.328725	+	1.22682i	0.581788	+	0.813341i	$0.302353\pi$
$167$	−4.24807	+	15.8540i	−0.328725	+	1.22682i	−0.910513	+	0.413480i	$0.864313\pi$
$168$	−2.08952	−	0.946418i	−0.161210	−	0.0730177i
$169$	−8.20525	+	10.0833i	−0.631173	+	0.775642i
$170$	0.342935	−	0.593981i	0.0263019	−	0.0455563i
$171$	2.64866	+	9.88495i	0.202548	+	0.755921i
$172$	−14.3429	+	24.8426i	−1.09364	+	1.89423i
$173$	9.11872	+	15.7941i	0.693283	+	1.20080i	0.970756	+	0.240068i	$0.0771698\pi$
$173$	9.11872	+	15.7941i	0.693283	+	1.20080i	−0.277473	+	0.960733i	$0.589497\pi$
$174$	−1.66205	+	1.66205i	−0.125999	+	0.125999i
$175$	2.84171	+	0.468787i	0.214813	+	0.0354370i
$176$	−5.30571	−	19.8012i	−0.399933	−	1.49257i
$177$	−0.172561	−	0.644008i	−0.0129705	−	0.0484066i
$178$		−	21.4261i		−	1.60595i
$179$	−20.4226	−	11.7910i	−1.52645	−	0.881299i	−0.999507	−	0.0314008i	$-0.990003\pi$
$179$	−20.4226	−	11.7910i	−1.52645	−	0.881299i	−0.526947	−	0.849898i	$-0.676663\pi$
$180$	−21.1632	−	21.1632i	−1.57741	−	1.57741i
$181$	4.65138			0.345735			0.172867	−	0.984945i	$-0.444697\pi$
$181$	4.65138			0.345735			0.172867	+	0.984945i	$0.444697\pi$
$182$	20.1518	−	12.1392i	1.49375	−	0.899814i
$183$	−2.59028			−0.191479
$184$	−2.36890	−	2.36890i	−0.174638	−	0.174638i
$185$	−3.32282	−	1.91843i	−0.244299	−	0.141046i
$186$		−	2.30627i		−	0.169104i
$187$	0.132942	+	0.496145i	0.00972165	+	0.0362817i
$188$	−6.25980	−	23.3619i	−0.456543	−	1.70384i
$189$	1.69220	−	2.06250i	0.123090	−	0.150025i
$190$	−14.8191	+	14.8191i	−1.07509	+	1.07509i
$191$	−3.84978	−	6.66801i	−0.278560	−	0.482480i	0.692467	−	0.721450i	$-0.256524\pi$
$191$	−3.84978	−	6.66801i	−0.278560	−	0.482480i	−0.971027	+	0.238969i	$0.923190\pi$
$192$	0.587862	−	1.01821i	0.0424253	−	0.0734827i
$193$	0.0645055	+	0.240738i	0.00464321	+	0.0173287i	0.968209	−	0.250144i	$-0.0804781\pi$
$193$	0.0645055	+	0.240738i	0.00464321	+	0.0173287i	−0.963565	+	0.267473i	$0.913811\pi$
$194$	−4.97510	+	8.61713i	−0.357192	+	0.618674i
$195$	−1.47748	+	0.272013i	−0.105805	+	0.0194792i
$196$	−28.0230	+	5.58173i	−2.00164	+	0.398695i
$197$	−1.72653	+	6.44350i	−0.123010	+	0.459081i	−0.999761	−	0.0218645i	$-0.993040\pi$
$197$	−1.72653	+	6.44350i	−0.123010	+	0.459081i	0.876751	+	0.480945i	$0.159706\pi$
$198$	33.3961			2.37336
$199$	−5.38835			−0.381970			−0.190985	−	0.981593i	$-0.561168\pi$
$199$	−5.38835			−0.381970			−0.190985	+	0.981593i	$0.561168\pi$
$200$	1.44658	−	5.39873i	0.102289	−	0.381748i
$201$	1.02639	+	0.275019i	0.0723956	+	0.0193984i
$202$	10.7681	−	2.88530i	0.757639	−	0.203009i
$203$	−2.43064	+	14.7341i	−0.170598	+	1.03413i
$204$	0.0388445	−	0.0672807i	0.00271966	−	0.00471059i
$205$			27.2809i			1.90538i
$206$	−32.0628	+	8.59121i	−2.23392	+	0.598578i
$207$	1.67912	−	0.969438i	0.116707	−	0.0673806i
$208$	−6.96488	−	14.6471i	−0.482928	−	1.01560i
$209$		−	15.6949i		−	1.08564i
$210$	2.68243	+	0.442511i	0.185105	+	0.0305362i
$211$	−1.44964	−	2.51085i	−0.0997974	−	0.172854i	0.811803	−	0.583931i	$-0.198486\pi$
$211$	−1.44964	−	2.51085i	−0.0997974	−	0.172854i	−0.911601	+	0.411077i	$0.865153\pi$
$212$	17.0445	−	9.84066i	1.17062	−	0.675859i
$213$	−0.602125	−	0.161339i	−0.0412569	−	0.0110548i
$214$	14.4040	+	14.4040i	0.984639	+	0.984639i
$215$	4.48804	−	16.7496i	0.306081	−	1.14231i
$216$	−3.66087	−	3.66087i	−0.249091	−	0.249091i
$217$	−8.53623	−	11.9090i	−0.579477	−	0.808436i
$218$	28.7608	−	16.6051i	1.94793	−	1.12464i
$219$	0.300404	−	0.300404i	0.0202994	−	0.0202994i
$220$	22.9506	+	39.7517i	1.54733	+	2.68006i
$221$	0.174514	+	0.367003i	0.0117391	+	0.0246873i
$222$	−0.560791	−	0.323773i	−0.0376379	−	0.0217302i
$223$	−18.1024	−	4.85053i	−1.21223	−	0.324816i	−0.404593	−	0.914497i	$-0.632587\pi$
$223$	−18.1024	−	4.85053i	−1.21223	−	0.324816i	−0.807636	+	0.589681i	$0.799253\pi$
$224$	0.214159	+	2.17148i	0.0143091	+	0.145088i
$225$	2.80134	+	1.61735i	0.186756	+	0.107824i
$226$	5.44619	−	1.45930i	0.362275	−	0.0970714i
$227$	4.51374	−	4.51374i	0.299587	−	0.299587i	−0.541265	−	0.840852i	$-0.682054\pi$
$227$	4.51374	−	4.51374i	0.299587	−	0.299587i	0.840852	+	0.541265i	$0.182054\pi$
$228$	−1.67857	+	1.67857i	−0.111166	+	0.111166i
$229$	16.7169	−	4.47928i	1.10468	−	0.295999i	0.340014	−	0.940420i	$-0.389568\pi$
$229$	16.7169	−	4.47928i	1.10468	−	0.295999i	0.764671	+	0.644421i	$0.222902\pi$
$230$	3.43863	+	1.98529i	0.226737	+	0.130906i
$231$	−1.65482	+	1.18615i	−0.108879	+	0.0780431i
$232$	27.9921	+	7.50047i	1.83777	+	0.492430i
$233$	1.08707	+	0.627620i	0.0712163	+	0.0411167i	0.535185	−	0.844735i	$-0.320242\pi$
$233$	1.08707	+	0.627620i	0.0712163	+	0.0411167i	−0.463969	+	0.885851i	$0.653575\pi$
$234$	25.9853	−	4.78403i	1.69871	−	0.312742i
$235$	7.31017	+	12.6616i	0.476863	+	0.825950i
$236$	−11.3964	+	11.3964i	−0.741840	+	0.741840i
$237$	−1.78796	+	1.03228i	−0.116140	+	0.0670536i
$238$	−0.0721789	−	0.731865i	−0.00467866	−	0.0474398i
$239$	−8.59429	−	8.59429i	−0.555918	−	0.555918i	0.372225	−	0.928143i	$-0.378595\pi$
$239$	−8.59429	−	8.59429i	−0.555918	−	0.555918i	−0.928143	+	0.372225i	$0.878595\pi$
$240$	0.485100	−	1.81042i	0.0313131	−	0.116862i
$241$	−1.71820	−	1.71820i	−0.110679	−	0.110679i	0.649599	−	0.760277i	$-0.274937\pi$
$241$	−1.71820	−	1.71820i	−0.110679	−	0.110679i	−0.760277	+	0.649599i	$0.774937\pi$
$242$	−23.2696	−	6.23506i	−1.49582	−	0.400805i
$243$	3.89852	−	2.25081i	0.250090	−	0.144390i
$244$	31.3077	+	54.2264i	2.00427	+	3.47149i
$245$	15.4893	−	7.64349i	0.989573	−	0.488325i
$246$			4.60418i			0.293552i
$247$	−2.24831	−	12.2121i	−0.143057	−	0.777037i
$248$	−24.6249	+	14.2172i	−1.56368	+	0.902794i
$249$	0.770679	−	0.206503i	0.0488398	−	0.0130866i
$250$		−	23.8020i		−	1.50537i
$251$	7.94802	−	13.7664i	0.501675	−	0.868926i	−0.498323	−	0.866991i	$-0.666051\pi$
$251$	7.94802	−	13.7664i	0.501675	−	0.868926i	0.999998	−	0.00193499i	$-0.000615928\pi$
$252$	−31.6634	−	5.22340i	−1.99461	−	0.329043i
$253$	−2.87225	+	0.769616i	−0.180577	+	0.0483853i
$254$	−12.0714	−	3.23451i	−0.757425	−	0.202951i
$255$	−0.0121548	+	0.0453624i	−0.000761165	+	0.00284071i
$256$	−32.4888			−2.03055
$257$	14.1941			0.885401			0.442701	−	0.896670i	$-0.354020\pi$
$257$	14.1941			0.885401			0.442701	+	0.896670i	$0.354020\pi$
$258$	0.757443	−	2.82682i	0.0471564	−	0.175990i
$259$	−4.09417	+	0.403780i	−0.254399	+	0.0250897i
$260$	23.5522	+	27.6428i	1.46065	+	1.71434i
$261$	−8.38591	+	14.5248i	−0.519075	+	0.899064i
$262$	−3.62776	−	13.5390i	−0.224124	−	0.836442i
$263$	9.46835	−	16.3997i	0.583843	−	1.01125i	−0.411175	−	0.911556i	$-0.634882\pi$
$263$	9.46835	−	16.3997i	0.583843	−	1.01125i	0.995019	−	0.0996901i	$-0.0317851\pi$
$264$	1.97555	+	3.42176i	0.121587	+	0.210595i
$265$	−8.41264	+	8.41264i	−0.516784	+	0.516784i
$266$	−3.65756	+	22.1716i	−0.224260	+	1.35942i
$267$	0.379708	+	1.41709i	0.0232378	+	0.0867245i
$268$	−6.64809	−	24.8110i	−0.406096	−	1.51557i
$269$			24.2202i			1.47673i	0.674400	+	0.738366i	$0.264402\pi$
$269$			24.2202i			1.47673i	−0.674400	+	0.738366i	$0.735598\pi$
$270$	5.31402	+	3.06805i	0.323401	+	0.186716i
$271$	11.1386	+	11.1386i	0.676624	+	0.676624i	0.959235	−	0.282610i	$-0.0912004\pi$
$271$	11.1386	+	11.1386i	0.676624	+	0.676624i	−0.282610	+	0.959235i	$0.591200\pi$
$272$	−0.507001			−0.0307414
$273$	−1.11769	+	1.15999i	−0.0676454	+	0.0702059i
$274$	−21.0726			−1.27304
$275$	−3.50791	−	3.50791i	−0.211535	−	0.211535i
$276$	0.389496	+	0.224876i	0.0234449	+	0.0135359i
$277$			0.746768i			0.0448689i	0.999748	+	0.0224345i	$0.00714171\pi$
$277$			0.746768i			0.0448689i	−0.999748	+	0.0224345i	$0.992858\pi$
$278$	7.30655	+	27.2684i	0.438218	+	1.63545i
$279$	−4.25920	−	15.8956i	−0.254992	−	0.951643i
$280$	−11.8112	−	31.3692i	−0.705856	−	1.87467i
$281$	−0.536856	+	0.536856i	−0.0320261	+	0.0320261i	−0.722939	−	0.690912i	$-0.757209\pi$
$281$	−0.536856	+	0.536856i	−0.0320261	+	0.0320261i	0.690912	+	0.722939i	$0.257209\pi$
$282$	1.23373	+	2.13689i	0.0734677	+	0.127250i
$283$	9.63432	−	16.6871i	0.572701	−	0.991947i	−0.423587	−	0.905856i	$-0.639229\pi$
$283$	9.63432	−	16.6871i	0.572701	−	0.991947i	0.996287	−	0.0860911i	$-0.0274376\pi$
$284$	3.90007	+	14.5553i	0.231427	+	0.863696i
$285$	0.717491	−	1.24273i	0.0425005	−	0.0736130i
$286$	−40.3935	−	3.22753i	−2.38852	−	0.190848i
$287$	17.0415	+	23.7748i	1.00593	+	1.40338i
$288$	−0.634278	+	2.36716i	−0.0373752	+	0.139486i
$289$	−16.9873			−0.999253
$290$	−34.3467			−2.01691
$291$	0.176335	−	0.658092i	0.0103370	−	0.0385780i
$292$	−9.91970	−	2.65798i	−0.580507	−	0.155546i
$293$	14.0543	−	3.76584i	0.821062	−	0.220003i	0.176251	−	0.984345i	$-0.443603\pi$
$293$	14.0543	−	3.76584i	0.821062	−	0.220003i	0.644811	+	0.764342i	$0.276936\pi$
$294$	2.61412	−	1.28999i	0.152458	−	0.0752337i
$295$	4.87129	−	8.43733i	0.283618	−	0.491240i
$296$			7.98371i			0.464044i
$297$	−4.43873	+	1.18936i	−0.257562	+	0.0690134i
$298$	−16.2907	+	9.40544i	−0.943695	+	0.544843i
$299$	−2.12463	+	1.01029i	−0.122870	+	0.0584263i
$300$			0.750340i			0.0433209i
$301$	−6.55168	−	17.4005i	−0.377633	−	1.00295i
$302$	8.13643	+	14.0927i	0.468199	+	0.810944i
$303$	−0.661052	+	0.381659i	−0.0379764	+	0.0219257i
$304$	14.9639	+	4.00958i	0.858241	+	0.229965i
$305$	−26.7645	−	26.7645i	−1.53253	−	1.53253i
$306$	0.213773	−	0.797813i	0.0122206	−	0.0456079i
$307$	9.47209	+	9.47209i	0.540601	+	0.540601i	0.923705	−	0.383104i	$-0.125145\pi$
$307$	9.47209	+	9.47209i	0.540601	+	0.540601i	−0.383104	+	0.923705i	$0.625145\pi$
$308$	44.8327	+	20.3064i	2.55458	+	1.15706i
$309$	1.96834	−	1.13642i	0.111975	−	0.0646487i
$310$	23.8299	−	23.8299i	1.35345	−	1.35345i
$311$	−4.14087	−	7.17220i	−0.234807	−	0.406698i	0.724409	−	0.689370i	$-0.242113\pi$
$311$	−4.14087	−	7.17220i	−0.234807	−	0.406698i	−0.959217	+	0.282672i	$0.908779\pi$
$312$	2.02734	+	2.37945i	0.114775	+	0.134710i
$313$	−4.98156	−	2.87611i	−0.281574	−	0.162567i	0.352562	−	0.935789i	$-0.385311\pi$
$313$	−4.98156	−	2.87611i	−0.281574	−	0.162567i	−0.634136	+	0.773222i	$0.718644\pi$
$314$	22.5725	+	6.04827i	1.27384	+	0.341324i
$315$	19.3054	−	1.90396i	1.08774	−	0.107276i
$316$	43.2206	+	24.9534i	2.43135	+	1.40374i
$317$	9.94515	−	2.66479i	0.558575	−	0.149670i	0.0315235	−	0.999503i	$-0.489964\pi$
$317$	9.94515	−	2.66479i	0.558575	−	0.149670i	0.527052	+	0.849833i	$0.323297\pi$
$318$	−1.41980	+	1.41980i	−0.0796182	+	0.0796182i
$319$	18.1883	−	18.1883i	1.01835	−	1.01835i
$320$	16.5949	−	4.44660i	0.927685	−	0.248573i
$321$	−1.20793	−	0.697397i	−0.0674199	−	0.0389249i
$322$	4.23686	−	0.417853i	0.236111	−	0.0232860i
$323$	−0.374942	−	0.100465i	−0.0208623	−	0.00559004i
$324$	−30.9111	−	17.8466i	−1.71729	−	0.991475i
$325$	−3.23199	−	2.22697i	−0.179279	−	0.123530i
$326$	−22.7850	−	39.4647i	−1.26194	−	2.18575i
$327$	−1.60793	+	1.60793i	−0.0889186	+	0.0889186i
$328$	49.1605	−	28.3829i	2.71444	−	1.56718i
$329$	14.2800	+	6.46792i	0.787280	+	0.356588i
$330$	−3.31129	−	3.31129i	−0.182280	−	0.182280i
$331$	−4.48552	+	16.7402i	−0.246547	+	0.920125i	0.726053	+	0.687639i	$0.241353\pi$
$331$	−4.48552	+	16.7402i	−0.246547	+	0.920125i	−0.972600	+	0.232486i	$0.925314\pi$
$332$	−13.6379	−	13.6379i	−0.748479	−	0.748479i
$333$	−4.46309	−	1.19588i	−0.244576	−	0.0655340i
$334$	−35.0547	+	20.2389i	−1.91811	+	1.10742i
$335$	7.76360	+	13.4470i	0.424171	+	0.734686i
$336$	−0.708154	−	1.88077i	−0.0386330	−	0.102605i
$337$			12.1069i			0.659506i	0.944067	+	0.329753i	$0.106965\pi$
$337$			12.1069i			0.659506i	−0.944067	+	0.329753i	$0.893035\pi$
$338$	−31.8923	+	3.27510i	−1.73471	+	0.178142i
$339$	−0.334342	+	0.193032i	−0.0181589	+	0.0104841i
$340$	1.09655	−	0.293821i	0.0594690	−	0.0159347i
$341$			25.2383i			1.36673i
$342$	−12.6189	+	21.8566i	−0.682351	+	1.18187i
$343$	8.72399	−	16.3368i	0.471051	−	0.882106i
$344$	−34.8523	+	9.33865i	−1.87911	+	0.503506i
$345$	−0.262609	−	0.0703659i	−0.0141384	−	0.00378837i
$346$	−11.6407	+	43.4438i	−0.625810	+	2.33555i
$347$	−2.86789			−0.153957			−0.0769783	−	0.997033i	$-0.524527\pi$
$347$	−2.86789			−0.153957			−0.0769783	+	0.997033i	$0.524527\pi$
$348$	−3.89048			−0.208552
$349$	3.12009	−	11.6443i	0.167014	−	0.623306i	−0.830760	−	0.556630i	$-0.812094\pi$
$349$	3.12009	−	11.6443i	0.167014	−	0.623306i	0.997775	−	0.0666760i	$-0.0212394\pi$
$350$	4.13799	+	5.77297i	0.221185	+	0.308578i
$351$	−3.28338	+	1.56128i	−0.175254	+	0.0833352i
$352$	1.87924	−	3.25493i	0.100164	−	0.173488i
$353$	7.89564	+	29.4669i	0.420242	+	1.56837i	0.774098	+	0.633066i	$0.218204\pi$
$353$	7.89564	+	29.4669i	0.420242	+	1.56837i	−0.353856	+	0.935300i	$0.615130\pi$
$354$	0.822126	−	1.42396i	0.0436955	−	0.0756828i
$355$	−4.55449	−	7.88860i	−0.241727	−	0.418683i
$356$	25.0768	−	25.0768i	1.32907	−	1.32907i
$357$	0.0177437	+	0.0471253i	0.000939099	+	0.00249414i
$358$	−15.0521	−	56.1751i	−0.795527	−	2.96895i
$359$	−4.63302	−	17.2907i	−0.244521	−	0.912566i	−0.973623	−	0.228161i	$-0.926729\pi$
$359$	−4.63302	−	17.2907i	−0.244521	−	0.912566i	0.729102	−	0.684405i	$-0.239938\pi$
$360$		−	37.6459i		−	1.98411i
$361$	−6.18273	−	3.56960i	−0.325407	−	0.187874i
$362$	8.11125	+	8.11125i	0.426318	+	0.426318i
$363$	1.64951			0.0865769
$364$	37.7930	+	9.37793i	1.98089	+	0.491537i
$365$	6.20794			0.324939
$366$	−4.51702	−	4.51702i	−0.236109	−	0.236109i
$367$	−6.26259	−	3.61571i	−0.326905	−	0.188738i	0.327561	−	0.944830i	$-0.393773\pi$
$367$	−6.26259	−	3.61571i	−0.326905	−	0.188738i	−0.654466	+	0.756091i	$0.727107\pi$
$368$		−	2.93509i		−	0.153002i
$369$	8.50296	+	31.7335i	0.442646	+	1.65198i
$370$	−2.44903	−	9.13989i	−0.127319	−	0.475160i
$371$	−2.07636	+	12.5866i	−0.107799	+	0.653462i
$372$	2.69923	−	2.69923i	0.139949	−	0.139949i
$373$	12.2087	+	21.1462i	0.632145	+	1.09491i	0.987112	+	0.160029i	$0.0511586\pi$
$373$	12.2087	+	21.1462i	0.632145	+	1.09491i	−0.354967	+	0.934879i	$0.615508\pi$
$374$	−0.633367	+	1.09702i	−0.0327506	+	0.0567257i
$375$	0.421813	+	1.57423i	0.0217823	+	0.0812927i
$376$	15.2109	−	26.3461i	0.784443	−	1.35869i
$377$	11.5467	−	16.7577i	0.594687	−	0.863067i
$378$	6.54759	−	0.645745i	0.336772	−	0.0332135i
$379$	−2.27080	+	8.47475i	−0.116643	+	0.435319i	−0.999405	−	0.0345031i	$-0.989015\pi$
$379$	−2.27080	+	8.47475i	−0.116643	+	0.435319i	0.882761	+	0.469822i	$0.155682\pi$
$380$	−34.6881			−1.77946
$381$	0.855704			0.0438390
$382$	4.91454	−	18.3413i	0.251449	−	0.938422i
$383$	−16.9913	−	4.55280i	−0.868213	−	0.232637i	−0.202898	−	0.979200i	$-0.565036\pi$
$383$	−16.9913	−	4.55280i	−0.868213	−	0.232637i	−0.665315	+	0.746563i	$0.731703\pi$
$384$	3.06976	−	0.822539i	0.156653	−	0.0419750i
$385$	−29.3547	−	4.84255i	−1.49606	−	0.246799i
$386$	−0.307320	+	0.532294i	−0.0156422	+	0.0270931i
$387$		−	20.8822i		−	1.06150i
$388$	−15.9082	+	4.26258i	−0.807615	+	0.216400i
$389$	8.77740	−	5.06764i	0.445032	−	0.256939i	−0.260698	−	0.965420i	$-0.583953\pi$
$389$	8.77740	−	5.06764i	0.445032	−	0.256939i	0.705730	+	0.708481i	$0.250619\pi$
$390$	−3.05084	−	2.10215i	−0.154485	−	0.106446i
$391$			0.0735427i			0.00371921i
$392$	−29.8886	−	19.9597i	−1.50960	−	1.00812i
$393$	0.479870	+	0.831159i	0.0242062	+	0.0419264i
$394$	−14.2472	+	8.22563i	−0.717764	+	0.414401i
$395$	−29.1405	−	7.80817i	−1.46622	−	0.392872i
$396$	39.0864	+	39.0864i	1.96416	+	1.96416i
$397$	2.18723	−	8.16286i	0.109774	−	0.409682i	−0.889069	−	0.457773i	$-0.848647\pi$
$397$	2.18723	−	8.16286i	0.109774	−	0.409682i	0.998843	+	0.0480910i	$0.0153138\pi$
$398$	−9.39641	−	9.39641i	−0.470999	−	0.470999i
$399$	−0.151013	−	1.53121i	−0.00756012	−	0.0766565i
$400$	4.24070	−	2.44837i	0.212035	−	0.122419i
$401$	6.65097	−	6.65097i	0.332134	−	0.332134i	−0.521263	−	0.853396i	$-0.674539\pi$
$401$	6.65097	−	6.65097i	0.332134	−	0.332134i	0.853396	+	0.521263i	$0.174539\pi$
$402$	1.31026	+	2.26944i	0.0653498	+	0.113189i
$403$	3.61542	+	19.6378i	0.180097	+	0.978227i
$404$	15.9797	+	9.22590i	0.795021	+	0.459006i
$405$	20.8411	+	5.58436i	1.03560	+	0.277489i
$406$	−29.9326	+	21.4553i	−1.48553	+	1.06481i
$407$	6.13693	+	3.54316i	0.304196	+	0.175628i
$408$	0.0943896	−	0.0252916i	0.00467298	−	0.00125212i
$409$	17.9666	−	17.9666i	0.888390	−	0.888390i	−0.105979	−	0.994368i	$-0.533797\pi$
$409$	17.9666	−	17.9666i	0.888390	−	0.888390i	0.994368	+	0.105979i	$0.0337975\pi$
$410$	−47.5734	+	47.5734i	−2.34948	+	2.34948i
$411$	1.39371	−	0.373444i	0.0687467	−	0.0184206i
$412$	−47.5810	−	27.4709i	−2.34415	−	1.35339i
$413$	−1.02528	−	10.3959i	−0.0504508	−	0.511550i
$414$	4.61864	+	1.23756i	0.226994	+	0.0608228i
$415$	10.0969	+	5.82944i	0.495636	+	0.286156i
$416$	0.995948	−	2.80184i	0.0488304	−	0.137372i
$417$	−0.966489	−	1.67401i	−0.0473292	−	0.0819765i
$418$	27.3693	−	27.3693i	1.33868	−	1.33868i
$419$	−17.4075	+	10.0503i	−0.850414	+	0.490987i	−0.860791	−	0.508959i	$-0.830030\pi$
$419$	−17.4075	+	10.0503i	−0.850414	+	0.490987i	0.0103762	+	0.999946i	$0.496697\pi$
$420$	2.62157	+	3.65739i	0.127920	+	0.178463i
$421$	−2.51951	−	2.51951i	−0.122793	−	0.122793i	0.643040	−	0.765833i	$-0.277673\pi$
$421$	−2.51951	−	2.51951i	−0.122793	−	0.122793i	−0.765833	+	0.643040i	$0.777673\pi$
$422$	1.85058	−	6.90645i	0.0900847	−	0.336201i
$423$	12.4497	+	12.4497i	0.605324	+	0.605324i
$424$	23.9122	+	6.40724i	1.16128	+	0.311163i
$425$	−0.106256	+	0.0613472i	−0.00515419	+	0.00297578i
$426$	−0.768658	−	1.33135i	−0.0372416	−	0.0645044i
$427$	−40.0437	−	6.60587i	−1.93785	−	0.319680i
$428$			33.7166i			1.62975i
$429$	2.72877	−	0.502381i	0.131746	−	0.0242552i
$430$	37.0349	−	21.3821i	1.78598	−	1.03114i
$431$	23.1558	−	6.20458i	1.11538	−	0.298864i	0.346365	−	0.938100i	$-0.387416\pi$
$431$	23.1558	−	6.20458i	1.11538	−	0.298864i	0.769011	+	0.639236i	$0.220749\pi$
$432$		−	4.53586i		−	0.218232i
$433$	−11.7141	+	20.2893i	−0.562941	+	0.975043i	0.434296	+	0.900770i	$0.356997\pi$
$433$	−11.7141	+	20.2893i	−0.562941	+	0.975043i	−0.997238	+	0.0742732i	$0.976336\pi$
$434$	5.88157	−	35.6531i	0.282325	−	1.71141i
$435$	2.27164	−	0.608684i	0.108917	−	0.0291842i
$436$	53.0957	+	14.2269i	2.54282	+	0.681347i
$437$	0.581607	−	2.17059i	0.0278220	−	0.103833i
$438$	1.04771			0.0500616
$439$	−33.7642			−1.61148			−0.805738	−	0.592272i	$-0.798231\pi$
$439$	−33.7642			−1.61148			−0.805738	+	0.592272i	$0.798231\pi$
$440$	−14.9431	+	55.7686i	−0.712386	+	2.65866i
$441$	15.6350	−	13.7187i	0.744523	−	0.653273i
$442$	−0.335669	+	0.944318i	−0.0159661	+	0.0449166i
$443$	−15.5134	+	26.8699i	−0.737062	+	1.27663i	0.216750	+	0.976227i	$0.430454\pi$
$443$	−15.5134	+	26.8699i	−0.737062	+	1.27663i	−0.953813	+	0.300402i	$0.902879\pi$
$444$	−0.277403	−	1.03528i	−0.0131650	−	0.0491324i
$445$	−10.7189	+	18.5657i	−0.508125	+	0.880098i
$446$	−23.1091	−	40.0262i	−1.09425	−	1.89530i
$447$	0.910762	−	0.910762i	0.0430776	−	0.0430776i
$448$	11.6846	−	14.2415i	0.552043	−	0.672846i
$449$	−0.388197	−	1.44877i	−0.0183202	−	0.0683718i	0.956161	−	0.292843i	$-0.0946013\pi$
$449$	−0.388197	−	1.44877i	−0.0183202	−	0.0683718i	−0.974481	+	0.224471i	$0.927935\pi$
$450$	2.06468	+	7.70548i	0.0973298	+	0.363240i
$451$		−	50.3851i		−	2.37254i
$452$	8.08210	+	4.66620i	0.380150	+	0.219480i
$453$	−0.787880	−	0.787880i	−0.0370178	−	0.0370178i
$454$	15.7424			0.738829
$455$	−23.5344	+	0.437145i	−1.10331	+	0.0204937i
$456$	−2.98589			−0.139827
$457$	21.6961	+	21.6961i	1.01490	+	1.01490i	0.999887	+	0.0150158i	$0.00477986\pi$
$457$	21.6961	+	21.6961i	1.01490	+	1.01490i	0.0150158	+	0.999887i	$0.495220\pi$
$458$	36.9627	+	21.3404i	1.72715	+	0.997172i
$459$			0.113652i			0.00530482i
$460$	1.70097	+	6.34809i	0.0793080	+	0.295981i
$461$	6.69670	+	24.9924i	0.311896	+	1.16401i	0.926845	+	0.375445i	$0.122510\pi$
$461$	6.69670	+	24.9924i	0.311896	+	1.16401i	−0.614948	+	0.788568i	$0.710823\pi$
$462$	−4.95418	−	0.817274i	−0.230490	−	0.0380230i
$463$	−26.5381	+	26.5381i	−1.23333	+	1.23333i	−0.270652	+	0.962677i	$0.587239\pi$
$463$	−26.5381	+	26.5381i	−1.23333	+	1.23333i	−0.962677	+	0.270652i	$0.912761\pi$
$464$	12.6947	+	21.9878i	0.589336	+	1.02076i
$465$	−1.15377	+	1.99838i	−0.0535047	+	0.0926728i
$466$	0.801205	+	2.99014i	0.0371151	+	0.138515i
$467$	4.11119	−	7.12080i	0.190243	−	0.329511i	−0.755087	−	0.655624i	$-0.772406\pi$
$467$	4.11119	−	7.12080i	0.190243	−	0.329511i	0.945331	+	0.326113i	$0.105739\pi$
$468$	36.0120	+	24.8137i	1.66466	+	1.14701i
$469$	15.1657	+	6.86912i	0.700288	+	0.317186i
$470$	−9.33199	+	34.8274i	−0.430452	+	1.60647i
$471$	−1.60010			−0.0737285
$472$	−20.2723			−0.933106
$473$	−8.28895	+	30.9348i	−0.381127	+	1.42238i
$474$	−4.91803	−	1.31778i	−0.225892	−	0.0605277i
$475$	3.62128	−	0.970319i	0.166156	−	0.0445213i
$476$	0.772088	−	0.941043i	0.0353886	−	0.0431326i
$477$	−7.16362	+	12.4078i	−0.328000	+	0.568112i
$478$		−	29.9740i		−	1.37098i
$479$	20.9972	−	5.62619i	0.959388	−	0.257067i	0.255047	−	0.966929i	$-0.417909\pi$
$479$	20.9972	−	5.62619i	0.959388	−	0.257067i	0.704342	+	0.709861i	$0.251242\pi$
$480$	0.297598	−	0.171818i	0.0135834	−	0.00784239i
$481$	5.28267	+	1.87779i	0.240869	+	0.0856196i
$482$		−	5.99250i		−	0.272951i
$483$	−0.272815	+	0.102721i	−0.0124135	+	0.00467396i
$484$	−19.9370	−	34.5318i	−0.906225	−	1.56963i
$485$	8.62185	−	4.97782i	0.391498	−	0.226031i
$486$	10.7234	+	2.87333i	0.486425	+	0.130337i
$487$	12.7599	+	12.7599i	0.578206	+	0.578206i	0.934409	−	0.356202i	$-0.115929\pi$
$487$	12.7599	+	12.7599i	0.578206	+	0.578206i	−0.356202	+	0.934409i	$0.615929\pi$
$488$	−20.3844	+	76.0755i	−0.922758	+	3.44378i
$489$	2.20635	+	2.20635i	0.0997746	+	0.0997746i
$490$	40.3397	+	13.6817i	1.82236	+	0.618078i
$491$	5.63350	−	3.25250i	0.254236	−	0.146783i	−0.367466	−	0.930037i	$-0.619775\pi$
$491$	5.63350	−	3.25250i	0.254236	−	0.146783i	0.621703	+	0.783253i	$0.286441\pi$
$492$	−5.38867	+	5.38867i	−0.242940	+	0.242940i
$493$	−0.318082	−	0.550935i	−0.0143257	−	0.0248129i
$494$	17.3752	−	25.2166i	0.781748	−	1.13455i
$495$	−28.9377	−	16.7072i	−1.30065	−	0.750932i
$496$	−24.0629	−	6.44763i	−1.08046	−	0.289507i
$497$	−8.89691	−	4.02974i	−0.399081	−	0.180758i
$498$	1.70405	+	0.983831i	0.0763601	+	0.0440865i
$499$	19.4522	−	5.21221i	0.870802	−	0.233331i	0.204367	−	0.978894i	$-0.434486\pi$
$499$	19.4522	−	5.21221i	0.870802	−	0.233331i	0.666434	+	0.745564i	$0.267820\pi$
$500$	27.8575	−	27.8575i	1.24583	−	1.24583i
$501$	1.95980	−	1.95980i	0.0875574	−	0.0875574i
$502$	37.8664	−	10.1463i	1.69006	−	0.452850i
$503$	−17.1138	−	9.88067i	−0.763068	−	0.440557i	0.0673282	−	0.997731i	$-0.478553\pi$
$503$	−17.1138	−	9.88067i	−0.763068	−	0.440557i	−0.830396	+	0.557173i	$0.811886\pi$
$504$	−23.5162	−	32.8078i	−1.04749	−	1.46137i
$505$	−10.7740	−	2.88687i	−0.479435	−	0.128464i
$506$	−6.35081	−	3.66664i	−0.282328	−	0.163002i
$507$	2.05127	−	0.781798i	0.0911001	−	0.0347209i
$508$	−10.3425	−	17.9138i	−0.458876	−	0.794796i
$509$	21.0947	−	21.0947i	0.935004	−	0.935004i	−0.0630085	−	0.998013i	$-0.520070\pi$
$509$	21.0947	−	21.0947i	0.935004	−	0.935004i	0.998013	+	0.0630085i	$0.0200695\pi$
$510$	−0.100301	+	0.0579086i	−0.00444139	+	0.00256424i
$511$	5.41012	−	3.87791i	0.239330	−	0.171548i
$512$	−30.0390	−	30.0390i	−1.32755	−	1.32755i
$513$	0.898808	−	3.35440i	0.0396833	−	0.148100i
$514$	24.7521	+	24.7521i	1.09177	+	1.09177i
$515$	32.0804	+	8.59591i	1.41363	+	0.378781i
$516$	4.19497	−	2.42197i	0.184673	−	0.106621i
$517$	−13.5012	−	23.3847i	−0.593780	−	1.02846i
$518$	−7.84369	−	6.43543i	−0.344632	−	0.282757i
$519$		−	3.07961i		−	0.135180i
$520$	−3.63825	+	45.5338i	−0.159548	+	1.99679i
$521$	6.67564	−	3.85418i	0.292465	−	0.168855i	−0.346588	−	0.938018i	$-0.612660\pi$
$521$	6.67564	−	3.85418i	0.292465	−	0.168855i	0.639053	+	0.769163i	$0.279326\pi$
$522$	−39.9525	+	10.7053i	−1.74868	+	0.468556i
$523$			0.0152739i			0.000667882i	1.00000		0.000333941i	$0.000106297\pi$
$523$			0.0152739i			0.000667882i	−1.00000		0.000333941i	$0.999894\pi$
$524$	11.6000	−	20.0918i	0.506748	−	0.877713i
$525$	−0.375988	−	0.308483i	−0.0164095	−	0.0134633i
$526$	45.1096	−	12.0871i	1.96687	−	0.527021i
$527$	0.602928	+	0.161554i	0.0262640	+	0.00703741i
$528$	−0.895931	+	3.34366i	−0.0389904	+	0.145514i
$529$	22.5743			0.981489
$530$	−29.3405			−1.27447
$531$	3.03659	−	11.3327i	0.131777	−	0.491798i
$532$	−30.2301	+	21.6685i	−1.31064	+	0.939450i
$533$	−7.21772	−	39.2043i	−0.312634	−	1.69813i
$534$	−1.80902	+	3.13332i	−0.0782841	+	0.135592i
$535$	−5.27513	−	19.6870i	−0.228064	−	0.851145i
$536$	16.1544	−	27.9803i	0.697764	−	1.20856i
$537$	1.99105	+	3.44859i	0.0859199	+	0.148818i
$538$	−42.2361	+	42.2361i	−1.82093	+	1.82093i
$539$	−28.6071	+	14.1168i	−1.23220	+	0.608052i
$540$	2.62865	+	9.81027i	0.113119	+	0.422167i
$541$	−12.0108	−	44.8251i	−0.516386	−	1.92718i	−0.325325	−	0.945602i	$-0.605474\pi$
$541$	−12.0108	−	44.8251i	−0.516386	−	1.92718i	−0.191061	−	0.981578i	$-0.561193\pi$
$542$			38.8479i			1.66866i
$543$	−0.680212	−	0.392720i	−0.0291907	−	0.0168532i
$544$	−0.0657291	−	0.0657291i	−0.00281811	−	0.00281811i
$545$	−33.2283			−1.42334
$546$	−3.97190	+	0.0737768i	−0.169981	+	0.00315735i
$547$	22.9225			0.980097			0.490049	−	0.871695i	$-0.336979\pi$
$547$	22.9225			0.980097			0.490049	+	0.871695i	$0.336979\pi$
$548$	−24.6631	−	24.6631i	−1.05355	−	1.05355i
$549$	−39.4748	−	22.7908i	−1.68474	−	0.972686i
$550$		−	12.2344i		−	0.521678i
$551$	5.03106	+	18.7762i	0.214330	+	0.799892i
$552$	0.146416	+	0.546434i	0.00623190	+	0.0232578i
$553$	−30.2730	+	11.3985i	−1.28734	+	0.484711i
$554$	−1.30224	+	1.30224i	−0.0553269	+	0.0553269i
$555$	0.323950	+	0.561098i	0.0137509	+	0.0238173i
$556$	−23.3631	+	40.4661i	−0.990816	+	1.71614i
$557$	−4.20224	−	15.6830i	−0.178055	−	0.664509i	−0.996011	−	0.0892288i	$-0.971560\pi$
$557$	−4.20224	−	15.6830i	−0.178055	−	0.664509i	0.817957	−	0.575280i	$-0.195107\pi$
$558$	20.2919	−	35.1466i	0.859025	−	1.48787i
$559$	−2.01814	+	25.2576i	−0.0853581	+	1.06828i
$560$	12.1163	−	26.7505i	0.512006	−	1.13041i
$561$	0.0224488	−	0.0837799i	0.000947788	−	0.00353719i
$562$	−1.87238			−0.0789814
$563$	10.5234			0.443507			0.221753	−	0.975103i	$-0.428822\pi$
$563$	10.5234			0.443507			0.221753	+	0.975103i	$0.428822\pi$
$564$	−1.05704	+	3.94493i	−0.0445095	+	0.166112i
$565$	−5.44917	−	1.46010i	−0.229248	−	0.0614269i
$566$	45.9003	−	12.2989i	1.92933	−	0.516963i
$567$	21.6511	−	8.15211i	0.909259	−	0.342356i
$568$	−9.47692	+	16.4145i	−0.397643	+	0.688737i
$569$			35.6613i			1.49500i	0.664262	+	0.747500i	$0.268746\pi$
$569$			35.6613i			1.49500i	−0.664262	+	0.747500i	$0.731254\pi$
$570$	3.41830	−	0.915932i	0.143177	−	0.0383642i
$571$	9.54352	−	5.50995i	0.399384	−	0.230584i	−0.286834	−	0.957980i	$-0.592603\pi$
$571$	9.54352	−	5.50995i	0.399384	−	0.230584i	0.686218	+	0.727396i	$0.259270\pi$
$572$	−43.4986	−	51.0535i	−1.81877	−	2.13466i
$573$			1.30016i			0.0543150i
$574$	−11.7418	+	71.1769i	−0.490094	+	2.97087i
$575$	−0.355147	−	0.615132i	−0.0148106	−	0.0256528i
$576$	17.9175	−	10.3447i	0.746564	−	0.431029i
$577$	−26.6870	−	7.15076i	−1.11099	−	0.297690i	−0.343760	−	0.939057i	$-0.611701\pi$
$577$	−26.6870	−	7.15076i	−1.11099	−	0.297690i	−0.767234	+	0.641367i	$0.778367\pi$
$578$	−29.6231	−	29.6231i	−1.23216	−	1.23216i
$579$	0.0108925	−	0.0406514i	0.000452677	−	0.00168942i
$580$	−40.1989	−	40.1989i	−1.66917	−	1.66917i
$581$	12.4407	−	1.22695i	0.516128	−	0.0509023i
$582$	1.45510	−	0.840105i	0.0603160	−	0.0348235i
$583$	15.5373	−	15.5373i	0.643489	−	0.643489i
$584$	−6.45871	−	11.1868i	−0.267263	−	0.462914i
$585$	−24.9096	−	8.85440i	−1.02988	−	0.366084i
$586$	31.0754	+	17.9414i	1.28371	+	0.741153i
$587$	−7.45089	−	1.99646i	−0.307531	−	0.0824027i	0.101753	−	0.994810i	$-0.467555\pi$
$587$	−7.45089	−	1.99646i	−0.307531	−	0.0824027i	−0.409284	+	0.912407i	$0.634222\pi$
$588$	4.56931	+	1.54974i	0.188435	+	0.0639103i
$589$	−16.5176	−	9.53642i	−0.680594	−	0.392941i
$590$	23.2081	−	6.21858i	0.955460	−	0.256015i
$591$	0.796517	−	0.796517i	0.0327643	−	0.0327643i
$592$	−4.94594	+	4.94594i	−0.203277	+	0.203277i
$593$	9.89297	−	2.65081i	0.406256	−	0.108856i	−0.0499035	−	0.998754i	$-0.515891\pi$
$593$	9.89297	−	2.65081i	0.406256	−	0.108856i	0.456159	+	0.889898i	$0.349225\pi$
$594$	−9.81446	−	5.66638i	−0.402692	−	0.232495i
$595$	−0.303590	+	0.670269i	−0.0124460	+	0.0274784i
$596$	−30.0744	−	8.05842i	−1.23190	−	0.330086i
$597$	0.787985	+	0.454944i	0.0322501	+	0.0186196i
$598$	−5.46677	−	1.94323i	−0.223553	−	0.0794646i
$599$	19.8784	+	34.4305i	0.812211	+	1.40679i	0.911313	+	0.411714i	$0.135070\pi$
$599$	19.8784	+	34.4305i	0.812211	+	1.40679i	−0.0991022	+	0.995077i	$0.531597\pi$
$600$	−0.667366	+	0.667366i	−0.0272451	+	0.0272451i
$601$	5.65826	−	3.26680i	0.230805	−	0.133255i	−0.380138	−	0.924930i	$-0.624124\pi$
$601$	5.65826	−	3.26680i	0.230805	−	0.133255i	0.610943	+	0.791674i	$0.290790\pi$
$602$	18.9186	−	41.7687i	0.771063	−	1.70236i
$603$	13.2219	+	13.2219i	0.538437	+	0.538437i
$604$	−6.97116	+	26.0167i	−0.283652	+	1.05860i
$605$	17.0438	+	17.0438i	0.692930	+	0.692930i
$606$	−1.81832	−	0.487216i	−0.0738640	−	0.0197918i
$607$	5.87637	−	3.39272i	0.238514	−	0.137706i	−0.375979	−	0.926628i	$-0.622694\pi$
$607$	5.87637	−	3.39272i	0.238514	−	0.137706i	0.614494	+	0.788922i	$0.289360\pi$
$608$	1.42016	+	2.45979i	0.0575950	+	0.0997575i
$609$	1.59947	−	1.94948i	0.0648138	−	0.0789969i
$610$		−	93.3456i		−	3.77945i
$611$	−13.8550	−	16.2614i	−0.560515	−	0.657866i
$612$	1.18395	−	0.683553i	0.0478583	−	0.0276310i
$613$	19.0899	−	5.11512i	0.771034	−	0.206598i	0.148206	−	0.988957i	$-0.452650\pi$
$613$	19.0899	−	5.11512i	0.771034	−	0.206598i	0.622828	+	0.782359i	$0.285984\pi$
$614$			33.0355i			1.33321i
$615$	2.30335	−	3.98952i	0.0928800	−	0.160873i
$616$	21.8142	+	57.9359i	0.878917	+	2.33430i
$617$	−2.05438	+	0.550470i	−0.0827063	+	0.0221611i	−0.299935	−	0.953960i	$-0.596965\pi$
$617$	−2.05438	+	0.550470i	−0.0827063	+	0.0221611i	0.217229	+	0.976121i	$0.430298\pi$
$618$	5.41419	+	1.45073i	0.217791	+	0.0583568i
$619$	−7.70516	+	28.7560i	−0.309696	+	1.15580i	0.619130	+	0.785288i	$0.287485\pi$
$619$	−7.70516	+	28.7560i	−0.309696	+	1.15580i	−0.928827	+	0.370514i	$0.879181\pi$
$620$	55.7804			2.24020
$621$	−0.657946			−0.0264024
$622$	5.28614	−	19.7281i	0.211955	−	0.791027i
$623$	2.25605	+	22.8754i	0.0903868	+	0.916485i
$624$	−0.218135	+	2.73003i	−0.00873239	+	0.109288i
$625$	−14.6290	+	25.3381i	−0.585158	+	1.01352i
$626$	−3.67157	−	13.7025i	−0.146745	−	0.547661i
$627$	−1.32513	+	2.29520i	−0.0529208	+	0.0916615i
$628$	19.3397	+	33.4973i	0.771738	+	1.33669i
$629$	0.123927	−	0.123927i	0.00494130	−	0.00494130i
$630$	36.9857	+	30.3453i	1.47354	+	1.20898i
$631$	6.04595	+	22.5638i	0.240686	+	0.898251i	0.975503	+	0.219986i	$0.0706011\pi$
$631$	6.04595	+	22.5638i	0.240686	+	0.898251i	−0.734817	+	0.678265i	$0.762732\pi$
$632$	16.2472	+	60.6352i	0.646277	+	2.41194i
$633$			0.489578i			0.0194590i
$634$	21.9897	+	12.6957i	0.873321	+	0.504212i
$635$	8.84168	+	8.84168i	0.350872	+	0.350872i
$636$	−3.32342			−0.131782
$637$	−20.2368	+	15.0822i	−0.801811	+	0.597578i
$638$	63.4349			2.51141
$639$	−7.75657	−	7.75657i	−0.306845	−	0.306845i
$640$	40.2177	+	23.2197i	1.58975	+	0.917840i
$641$		−	25.5854i		−	1.01056i	−0.862955	−	0.505280i	$-0.831389\pi$
$641$		−	25.5854i		−	1.01056i	0.862955	−	0.505280i	$-0.168611\pi$
$642$	−0.890280	−	3.32257i	−0.0351366	−	0.131131i
$643$	−7.72960	−	28.8473i	−0.304826	−	1.13763i	−0.933095	−	0.359630i	$-0.882903\pi$
$643$	−7.72960	−	28.8473i	−0.304826	−	1.13763i	0.628269	−	0.777996i	$-0.283764\pi$
$644$	5.44781	+	4.46971i	0.214674	+	0.176131i
$645$	−2.07051	+	2.07051i	−0.0815261	+	0.0815261i
$646$	−0.478642	−	0.829032i	−0.0188319	−	0.0326178i
$647$	1.41318	−	2.44770i	0.0555577	−	0.0962288i	−0.836909	−	0.547342i	$-0.815640\pi$
$647$	1.41318	−	2.44770i	0.0555577	−	0.0962288i	0.892467	+	0.451113i	$0.148973\pi$
$648$	−11.6199	−	43.3660i	−0.456472	−	1.70358i
$649$	−8.99679	+	15.5829i	−0.353155	+	0.611683i
$650$	−1.75260	−	9.51953i	−0.0687425	−	0.373387i
$651$	0.242838	+	2.46228i	0.00951757	+	0.0965043i
$652$	19.5218	−	72.8563i	0.764532	−	2.85327i
$653$	26.1013			1.02142			0.510711	−	0.859753i	$-0.329382\pi$
$653$	26.1013			1.02142			0.510711	+	0.859753i	$0.329382\pi$
$654$	−5.60793			−0.219287
$655$	−3.62975	+	13.5464i	−0.141826	+	0.529302i
$656$	48.0385	+	12.8719i	1.87559	+	0.502562i
$657$	7.22116	−	1.93490i	0.281724	−	0.0754878i
$658$	13.6229	+	36.1809i	0.531077	+	1.41048i
$659$	−9.04837	+	15.6722i	−0.352475	+	0.610504i	−0.986682	−	0.162659i	$-0.947993\pi$
$659$	−9.04837	+	15.6722i	−0.352475	+	0.610504i	0.634208	+	0.773163i	$0.281326\pi$
$660$		−	7.75097i		−	0.301706i
$661$	−1.36965	+	0.366997i	−0.0532733	+	0.0142745i	−0.285357	−	0.958421i	$-0.592112\pi$
$661$	−1.36965	+	0.366997i	−0.0532733	+	0.0142745i	0.232084	+	0.972696i	$0.425446\pi$
$662$	−37.0142	+	21.3702i	−1.43860	+	0.830574i
$663$	0.00546567	−	0.0684044i	0.000212269	−	0.00265661i
$664$		−	24.2596i		−	0.941457i
$665$	14.2611	−	17.3818i	0.553022	−	0.674039i
$666$	−5.69748	−	9.86833i	−0.220773	−	0.382390i
$667$	3.18943	−	1.84142i	0.123495	−	0.0713000i
$668$	−64.7149	−	17.3403i	−2.50389	−	0.670917i
$669$	2.23774	+	2.23774i	0.0865160	+	0.0865160i
$670$	−9.91083	+	36.9877i	−0.382889	+	1.42896i
$671$	49.4313	+	49.4313i	1.90827	+	1.90827i
$672$	0.152022	−	0.335637i	0.00586438	−	0.0129475i
$673$	−3.78674	+	2.18627i	−0.145968	+	0.0842747i	−0.571205	−	0.820807i	$-0.693524\pi$
$673$	−3.78674	+	2.18627i	−0.145968	+	0.0842747i	0.425237	+	0.905082i	$0.360191\pi$
$674$	−21.1125	+	21.1125i	−0.813222	+	0.813222i
$675$	−0.548839	−	0.950618i	−0.0211248	−	0.0365893i
$676$	−41.1595	−	33.4932i	−1.58306	−	1.28820i
$677$	−40.1930	−	23.2054i	−1.54474	−	0.891857i	−0.998530	−	0.0542097i	$-0.982736\pi$
$677$	−40.1930	−	23.2054i	−1.54474	−	0.891857i	−0.546212	−	0.837647i	$-0.683931\pi$
$678$	−0.919654	−	0.246420i	−0.0353191	−	0.00946372i
$679$	4.40430	−	9.72388i	0.169022	−	0.373168i
$680$	1.23662	+	0.713966i	0.0474224	+	0.0273793i
$681$	−1.04118	+	0.278984i	−0.0398982	+	0.0106907i
$682$	−44.0115	+	44.0115i	−1.68529	+	1.68529i
$683$	2.74654	−	2.74654i	0.105094	−	0.105094i	−0.652605	−	0.757698i	$-0.726324\pi$
$683$	2.74654	−	2.74654i	0.105094	−	0.105094i	0.757698	+	0.652605i	$0.226324\pi$
$684$	−40.3496	+	10.8116i	−1.54281	+	0.413394i
$685$	18.2594	+	10.5421i	0.697655	+	0.402791i
$686$	43.7020	−	13.2755i	1.66855	−	0.506863i
$687$	−2.82285	−	0.756380i	−0.107698	−	0.0288577i
$688$	−27.3765	−	15.8058i	−1.04372	−	0.602592i
$689$	9.86374	−	14.3152i	0.375779	−	0.545366i
$690$	−0.335240	−	0.580653i	−0.0127624	−	0.0221051i
$691$	−30.7245	+	30.7245i	−1.16882	+	1.16882i	−0.186329	+	0.982487i	$0.559659\pi$
$691$	−30.7245	+	30.7245i	−1.16882	+	1.16882i	−0.982487	+	0.186329i	$0.940341\pi$
$692$	−64.4703	+	37.2219i	−2.45079	+	1.41497i
$693$	−35.6552	+	3.51643i	−1.35443	+	0.133578i
$694$	−5.00114	−	5.00114i	−0.189841	−	0.189841i
$695$	7.31054	−	27.2833i	0.277305	−	1.03492i
$696$	−3.46026	−	3.46026i	−0.131161	−	0.131161i
$697$	−1.20367	−	0.322522i	−0.0455922	−	0.0122164i
$698$	25.7467	−	14.8649i	0.974527	−	0.562644i
$699$	−0.105981	−	0.183564i	−0.00400857	−	0.00694305i
$700$	−1.91356	+	11.5997i	−0.0723256	+	0.438426i
$701$			33.2095i			1.25430i	0.778897	+	0.627152i	$0.215780\pi$
$701$			33.2095i			1.25430i	−0.778897	+	0.627152i	$0.784220\pi$
$702$	−8.44829	−	3.00304i	−0.318860	−	0.113343i
$703$	−4.63774	+	2.67760i	−0.174916	+	0.100988i
$704$	−30.6492	+	8.21243i	−1.15514	+	0.309518i
$705$		−	2.46882i		−	0.0929810i
$706$	−37.6168	+	65.1542i	−1.41573	+	2.45211i
$707$	−11.1927	+	4.21429i	−0.420943	+	0.158495i
$708$	2.62879	−	0.704383i	0.0987961	−	0.0264723i
$709$	−21.4384	−	5.74441i	−0.805138	−	0.215736i	−0.167299	−	0.985906i	$-0.553505\pi$
$709$	−21.4384	−	5.74441i	−0.805138	−	0.215736i	−0.637838	+	0.770170i	$0.720171\pi$
$710$	5.81415	−	21.6987i	0.218201	−	0.814338i
$711$	−36.3303			−1.36249
$712$	44.6075			1.67174
$713$	−0.935257	+	3.49043i	−0.0350256	+	0.130717i
$714$	−0.0512367	+	0.113121i	−0.00191748	+	0.00423345i
$715$	33.3863	+	23.0045i	1.24858	+	0.860319i
$716$	48.1299	−	83.3634i	1.79870	−	3.11544i
$717$	0.531193	+	1.98244i	0.0198378	+	0.0740356i
$718$	22.0728	−	38.2313i	0.823751	−	1.42678i
$719$	−14.2145	−	24.6202i	−0.530111	−	0.918180i	−0.999383	−	0.0351257i	$-0.988817\pi$
$719$	−14.2145	−	24.6202i	−0.530111	−	0.918180i	0.469272	−	0.883054i	$-0.344516\pi$
$720$	23.3218	−	23.3218i	0.869153	−	0.869153i
$721$	33.3271	−	12.5484i	1.24117	−	0.467327i
$722$	−4.55687	−	17.0065i	−0.169589	−	0.632915i
$723$	0.106198	+	0.396335i	0.00394953	+	0.0147399i
$724$			18.9866i			0.705632i
$725$	5.32106	+	3.07212i	0.197619	+	0.114096i
$726$	2.87648	+	2.87648i	0.106756	+	0.106756i
$727$	−0.462661			−0.0171591			−0.00857957	−	0.999963i	$-0.502731\pi$
$727$	−0.462661			−0.0171591			−0.00857957	+	0.999963i	$0.502731\pi$
$728$	25.2728	+	41.9546i	0.936674	+	1.55494i
$729$	25.4724			0.943422
$730$	10.8256	+	10.8256i	0.400675	+	0.400675i
$731$	0.685955	+	0.396036i	0.0253710	+	0.0146479i
$732$		−	10.5733i		−	0.390802i
$733$	−9.38272	−	35.0168i	−0.346559	−	1.29337i	−0.890781	−	0.454433i	$-0.849842\pi$
$733$	−9.38272	−	35.0168i	−0.346559	−	1.29337i	0.544222	−	0.838941i	$-0.316825\pi$
$734$	−4.61573	−	17.2261i	−0.170370	−	0.635828i
$735$	−2.91048	−	0.189999i	−0.107355	−	0.00700823i
$736$	0.380514	−	0.380514i	0.0140259	−	0.0140259i
$737$	−14.3386	−	24.8352i	−0.528169	−	0.914816i
$738$	−40.5102	+	70.1657i	−1.49120	+	2.58284i
$739$	−0.379862	−	1.41767i	−0.0139735	−	0.0521497i	0.958587	−	0.284800i	$-0.0919270\pi$
$739$	−0.379862	−	1.41767i	−0.0139735	−	0.0521497i	−0.972561	+	0.232650i	$0.925260\pi$
$740$	7.83091	−	13.5635i	0.287870	−	0.498605i
$741$	−0.702289	+	1.97571i	−0.0257992	+	0.0725794i
$742$	−25.5698	+	18.3281i	−0.938695	+	0.672845i
$743$	0.513502	−	1.91642i	0.0188386	−	0.0703065i	−0.955867	−	0.293801i	$-0.905080\pi$
$743$	0.513502	−	1.91642i	0.0188386	−	0.0703065i	0.974705	+	0.223494i	$0.0717464\pi$
$744$	4.80149			0.176031
$745$	18.8212			0.689555
$746$	−15.5854	+	58.1655i	−0.570622	+	2.12959i
$747$	13.5618	+	3.63386i	0.496199	+	0.132956i
$748$	−2.02523	+	0.542658i	−0.0740496	+	0.0198415i
$749$	−16.8950	−	13.8617i	−0.617332	−	0.506496i
$750$	−2.00962	+	3.48077i	−0.0733810	+	0.127100i
$751$		−	18.1843i		−	0.663555i	−0.943358	−	0.331778i	$-0.892352\pi$
$751$		−	18.1843i		−	0.663555i	0.943358	−	0.331778i	$-0.107648\pi$
$752$	25.7447	−	6.89828i	0.938814	−	0.251554i
$753$	−2.32462	+	1.34212i	−0.0847137	+	0.0489095i
$754$	49.3583	−	9.08713i	1.79752	−	0.330934i
$755$		−	16.2818i		−	0.592554i
$756$	8.41899	+	6.90745i	0.306196	+	0.251221i
$757$	2.77153	+	4.80044i	0.100733	+	0.174475i	0.911987	−	0.410219i	$-0.134548\pi$
$757$	2.77153	+	4.80044i	0.100733	+	0.174475i	−0.811254	+	0.584694i	$0.801215\pi$
$758$	−18.7385	+	10.8187i	−0.680612	+	0.392952i
$759$	0.485013	+	0.129959i	0.0176048	+	0.00471720i
$760$	−30.8522	−	30.8522i	−1.11913	−	1.11913i
$761$	11.4195	−	42.6182i	0.413957	−	1.54491i	−0.372960	−	0.927848i	$-0.621657\pi$
$761$	11.4195	−	42.6182i	0.413957	−	1.54491i	0.786916	−	0.617060i	$-0.211676\pi$
$762$	1.49221	+	1.49221i	0.0540569	+	0.0540569i
$763$	−28.9579	+	20.7567i	−1.04835	+	0.751442i
$764$	27.2183	−	15.7145i	0.984725	−	0.568531i
$765$	−0.584359	+	0.584359i	−0.0211276	+	0.0211276i
$766$	−21.6907	−	37.5693i	−0.783715	−	1.35743i
$767$	−4.76808	+	13.4138i	−0.172165	+	0.484343i
$768$	4.75111	+	2.74306i	0.171441	+	0.0989815i
$769$	27.2136	+	7.29187i	0.981348	+	0.262951i	0.713612	−	0.700541i	$-0.247058\pi$
$769$	27.2136	+	7.29187i	0.981348	+	0.262951i	0.267736	+	0.963492i	$0.413725\pi$
$770$	−42.7452	−	59.6345i	−1.54043	−	2.14908i
$771$	−2.07572	−	1.19842i	−0.0747552	−	0.0431599i
$772$	−0.982674	+	0.263307i	−0.0353672	+	0.00947661i
$773$	14.6663	−	14.6663i	0.527511	−	0.527511i	−0.392319	−	0.919829i	$-0.628327\pi$
$773$	14.6663	−	14.6663i	0.527511	−	0.527511i	0.919829	+	0.392319i	$0.128327\pi$
$774$	36.4151	−	36.4151i	1.30891	−	1.30891i
$775$	−5.82323	+	1.56033i	−0.209177	+	0.0560487i
$776$	−17.9402	−	10.3578i	−0.644017	−	0.371823i
$777$	0.632817	+	0.286626i	0.0227022	+	0.0102827i
$778$	24.1435	+	6.46922i	0.865585	+	0.231933i
$779$	32.9752	+	19.0383i	1.18146	+	0.682116i
$780$	−1.11034	−	6.03098i	−0.0397564	−	0.215944i
$781$	8.41168	+	14.5695i	0.300994	+	0.521336i
$782$	−0.128246	+	0.128246i	−0.00458608	+	0.00458608i
$783$	4.92891	−	2.84571i	0.176145	−	0.101697i
$784$	−6.15105	−	30.8813i	−0.219680	−	1.10290i
$785$	−16.5332	−	16.5332i	−0.590096	−	0.590096i
$786$	−0.612591	+	2.28622i	−0.0218504	+	0.0815467i
$787$	32.1068	+	32.1068i	1.14448	+	1.14448i	0.987620	+	0.156863i	$0.0501381\pi$
$787$	32.1068	+	32.1068i	1.14448	+	1.14448i	0.156863	+	0.987620i	$0.449862\pi$
$788$	−26.3019	−	7.04758i	−0.936967	−	0.251060i
$789$	−2.76928	+	1.59884i	−0.0985888	+	0.0569203i
$790$	−37.2001	−	64.4324i	−1.32352	−	2.29240i
$791$	−5.66094	+	2.13147i	−0.201280	+	0.0757864i
$792$			69.5282i			2.47058i
$793$	45.5433	+	31.3811i	1.61729	+	1.11438i
$794$	18.0489	−	10.4205i	0.640530	−	0.369810i
$795$	1.94054	−	0.519966i	0.0688238	−	0.0184413i
$796$		−	21.9949i		−	0.779587i
$797$	−15.9452	+	27.6179i	−0.564809	+	0.978277i	0.432259	+	0.901750i	$0.357717\pi$
$797$	−15.9452	+	27.6179i	−0.564809	+	0.978277i	−0.997067	+	0.0765277i	$0.975617\pi$
$798$	2.40684	−	2.93353i	0.0852012	−	0.103846i
$799$	−0.645069	+	0.172846i	−0.0228209	+	0.00611484i
$800$	0.867191	+	0.232363i	0.0306598	+	0.00821528i
$801$	−6.68178	+	24.9367i	−0.236089	+	0.881096i
$802$	23.1964			0.819094
$803$	−11.4655			−0.404607
$804$	−1.12261	+	4.18963i	−0.0395913	+	0.147757i
$805$	−3.88027	−	1.75752i	−0.136762	−	0.0619444i
$806$	−27.9403	+	40.5497i	−0.984157	+	1.42830i
$807$	2.04494	−	3.54193i	0.0719851	−	0.124682i
$808$	6.00697	+	22.4183i	0.211325	+	0.788674i
$809$	−14.6403	+	25.3577i	−0.514726	+	0.891531i	0.485128	+	0.874443i	$0.338773\pi$
$809$	−14.6403	+	25.3577i	−0.514726	+	0.891531i	−0.999854	+	0.0170879i	$0.994560\pi$
$810$	26.6053	+	46.0817i	0.934815	+	1.61915i
$811$	35.8857	−	35.8857i	1.26012	−	1.26012i	0.309082	−	0.951035i	$-0.399978\pi$
$811$	35.8857	−	35.8857i	1.26012	−	1.26012i	0.951035	−	0.309082i	$-0.100022\pi$
$812$	−60.1437	−	9.92170i	−2.11063	−	0.348183i
$813$	−0.688454	−	2.56935i	−0.0241451	−	0.0901109i
$814$	4.52311	+	16.8805i	0.158535	+	0.591660i
$815$			45.5949i			1.59712i
$816$	0.0741431	+	0.0428065i	0.00259553	+	0.00149853i
$817$	−17.1137	−	17.1137i	−0.598732	−	0.598732i
$818$	62.6615			2.19091
$819$	−27.2393	+	7.84376i	−0.951819	+	0.274083i
$820$	−111.359			−3.88881
$821$	−6.93408	−	6.93408i	−0.242001	−	0.242001i	0.575677	−	0.817678i	$-0.304739\pi$
$821$	−6.93408	−	6.93408i	−0.242001	−	0.242001i	−0.817678	+	0.575677i	$0.804739\pi$
$822$	3.08163	+	1.77918i	0.107484	+	0.0620559i
$823$		−	27.5693i		−	0.961006i	−0.876993	−	0.480503i	$-0.840454\pi$
$823$		−	27.5693i		−	0.961006i	0.876993	−	0.480503i	$-0.159546\pi$
$824$	−17.8863	−	66.7525i	−0.623098	−	2.32543i
$825$	0.216816	+	0.809167i	0.00754855	+	0.0281716i
$826$	16.3409	−	19.9167i	0.568572	−	0.692991i
$827$	18.9789	−	18.9789i	0.659961	−	0.659961i	−0.295410	−	0.955371i	$-0.595456\pi$
$827$	18.9789	−	18.9789i	0.659961	−	0.659961i	0.955371	+	0.295410i	$0.0954562\pi$
$828$	3.95717	+	6.85402i	0.137521	+	0.238194i
$829$	14.8153	−	25.6608i	0.514556	−	0.891238i	−0.485301	−	0.874347i	$-0.661290\pi$
$829$	14.8153	−	25.6608i	0.514556	−	0.891238i	0.999857	−	0.0168908i	$-0.00537675\pi$
$830$	7.44172	+	27.7729i	0.258306	+	0.964011i
$831$	0.0630503	−	0.109206i	0.00218719	−	0.00378832i
$832$	−22.6715	+	10.7806i	−0.785993	+	0.373749i
$833$	0.154123	+	0.773771i	0.00534004	+	0.0268096i
$834$	1.23380	−	4.60459i	0.0427229	−	0.159444i
$835$	40.4999			1.40156
$836$	64.0654			2.21575
$837$	−1.44534	+	5.39406i	−0.0499581	+	0.186446i
$838$	−47.8819	−	12.8299i	−1.65405	−	0.443202i
$839$	−51.8608	+	13.8961i	−1.79043	+	0.479745i	−0.992420	−	0.122893i	$-0.960783\pi$
$839$	−51.8608	+	13.8961i	−1.79043	+	0.479745i	−0.798014	+	0.602638i	$0.794116\pi$
$840$	−0.921276	+	5.58463i	−0.0317870	+	0.192688i
$841$	−1.42879	+	2.47474i	−0.0492686	+	0.0853357i
$842$		−	8.78721i		−	0.302827i
$843$	0.123836	−	0.0331818i	0.00426515	−	0.00114284i
$844$	10.2491	−	5.91733i	0.352789	−	0.203683i
$845$	29.2731	+	13.1170i	1.00703	+	0.451239i
$846$			43.4204i			1.49282i
$847$	25.5001	+	4.20667i	0.876195	+	0.144543i
$848$	10.8444	+	18.7830i	0.372397	+	0.645011i
$849$	−2.81782	+	1.62687i	−0.0967073	+	0.0558340i
$850$	−0.292273	−	0.0783144i	−0.0100249	−	0.00268616i
$851$	0.717431	+	0.717431i	0.0245932	+	0.0245932i
$852$	0.658573	−	2.45783i	0.0225623	−	0.0842038i
$853$	−36.2761	−	36.2761i	−1.24207	−	1.24207i	−0.959140	−	0.282930i	$-0.908693\pi$
$853$	−36.2761	−	36.2761i	−1.24207	−	1.24207i	−0.282930	−	0.959140i	$-0.591307\pi$
$854$	−58.3100	−	81.3491i	−1.99533	−	2.78371i
$855$	21.8685	−	12.6258i	0.747887	−	0.431793i
$856$	−29.9881	+	29.9881i	−1.02497	+	1.02497i
$857$	−23.1941	−	40.1733i	−0.792295	−	1.37230i	−0.924543	−	0.381079i	$-0.875553\pi$
$857$	−23.1941	−	40.1733i	−0.792295	−	1.37230i	0.132247	−	0.991217i	$-0.457781\pi$
$858$	5.63459	+	3.88245i	0.192362	+	0.132545i
$859$	−6.53039	−	3.77032i	−0.222814	−	0.128642i	0.384439	−	0.923151i	$-0.374395\pi$
$859$	−6.53039	−	3.77032i	−0.222814	−	0.128642i	−0.607253	+	0.794509i	$0.707728\pi$
$860$	68.3705	+	18.3198i	2.33142	+	0.624701i
$861$	−0.484795	−	4.91562i	−0.0165218	−	0.167524i
$862$	51.1997	+	29.5601i	1.74387	+	1.00682i
$863$	18.4118	−	4.93343i	0.626745	−	0.167936i	0.0685528	−	0.997647i	$-0.478162\pi$
$863$	18.4118	−	4.93343i	0.626745	−	0.167936i	0.558192	+	0.829712i	$0.311495\pi$
$864$	0.588042	−	0.588042i	0.0200056	−	0.0200056i
$865$	31.8205	−	31.8205i	1.08193	−	1.08193i
$866$	−55.8087	+	14.9539i	−1.89646	+	0.508154i
$867$	2.48420	+	1.43425i	0.0843678	+	0.0487098i
$868$	48.6117	−	34.8443i	1.64999	−	1.18269i
$869$	53.8196	+	14.4209i	1.82570	+	0.489196i
$870$	5.02281	+	2.89992i	0.170289	+	0.0983166i
$871$	−14.7144	−	17.2701i	−0.498580	−	0.585174i
$872$	34.5705	+	59.8779i	1.17071	+	2.02772i
$873$	8.47755	−	8.47755i	0.286921	−	0.286921i
$874$	4.79937	−	2.77092i	0.162341	−	0.0937277i
$875$	2.50622	+	25.4120i	0.0847256	+	0.859083i
$876$	1.22623	+	1.22623i	0.0414304	+	0.0414304i
$877$	−4.25400	+	15.8761i	−0.143647	+	0.536099i	0.856165	+	0.516703i	$0.172841\pi$
$877$	−4.25400	+	15.8761i	−0.143647	+	0.536099i	−0.999812	+	0.0193959i	$0.993826\pi$
$878$	−58.8792	−	58.8792i	−1.98708	−	1.98708i
$879$	−2.37324	−	0.635907i	−0.0800473	−	0.0214486i
$880$	−43.8062	+	25.2915i	−1.47671	+	0.852578i
$881$	6.33542	+	10.9733i	0.213446	+	0.369699i	0.952791	−	0.303628i	$-0.0981980\pi$
$881$	6.33542	+	10.9733i	0.213446	+	0.369699i	−0.739345	+	0.673327i	$0.764865\pi$
$882$	51.1881	+	3.34162i	1.72359	+	0.112518i
$883$		−	48.6526i		−	1.63729i	−0.574300	−	0.818645i	$-0.694726\pi$
$883$		−	48.6526i		−	1.63729i	0.574300	−	0.818645i	$-0.305274\pi$
$884$	−1.49808	+	0.712355i	−0.0503859	+	0.0239591i
$885$	−1.42474	+	0.822575i	−0.0478922	+	0.0276506i
$886$	−73.9095	+	19.8040i	−2.48304	+	0.665328i
$887$			11.4213i			0.383489i	0.981445	+	0.191744i	$0.0614144\pi$
$887$			11.4213i			0.383489i	−0.981445	+	0.191744i	$0.938586\pi$
$888$	0.674072	−	1.16753i	0.0226204	−	0.0391796i
$889$	13.2285	+	2.18226i	0.443670	+	0.0731906i
$890$	−51.0675	+	13.6835i	−1.71179	+	0.458672i
$891$	−38.4915	−	10.3138i	−1.28951	−	0.345524i
$892$	19.7995	−	73.8928i	0.662937	−	2.47411i
$893$	20.4059			0.682858
$894$	3.17644			0.106236
$895$	−15.0603	+	56.2059i	−0.503411	+	1.87875i
$896$	49.5537	−	4.88715i	1.65547	−	0.163268i
$897$	0.396002	+	0.0316414i	0.0132221	+	0.00105648i
$898$	1.84947	−	3.20337i	0.0617176	−	0.106898i
$899$	−8.09024	−	30.1932i	−0.269824	−	1.00700i
$900$	−6.60192	+	11.4349i	−0.220064	+	0.381162i
$901$	−0.271720	−	0.470633i	−0.00905232	−	0.0156791i
$902$	87.8633	−	87.8633i	2.92553	−	2.92553i
$903$	−0.511032	+	3.09779i	−0.0170061	+	0.103088i
$904$	3.03816	+	11.3386i	0.101048	+	0.377115i
$905$	−2.97055	−	11.0862i	−0.0987443	−	0.368519i
$906$		−	2.74786i		−	0.0912917i
$907$	23.0490	+	13.3073i	0.765328	+	0.441862i	0.831205	−	0.555965i	$-0.187651\pi$
$907$	23.0490	+	13.3073i	0.765328	+	0.441862i	−0.0658773	+	0.997828i	$0.520985\pi$
$908$	18.4247	+	18.4247i	0.611447	+	0.611447i
$909$	−13.4322			−0.445518
$910$	−41.8025	−	40.2779i	−1.38574	−	1.33520i
$911$	−57.5752			−1.90755			−0.953775	−	0.300520i	$-0.902840\pi$
$911$	−57.5752			−1.90755			−0.953775	+	0.300520i	$0.902840\pi$
$912$	−1.84977	−	1.84977i	−0.0612522	−	0.0612522i
$913$	−18.6479	−	10.7664i	−0.617157	−	0.356316i
$914$			75.6690i			2.50291i
$915$	1.65425	+	6.17374i	0.0546878	+	0.204098i
$916$	18.2841	+	68.2372i	0.604124	+	2.25462i
$917$	5.29874	+	14.0728i	0.174980	+	0.464726i
$918$	−0.198190	+	0.198190i	−0.00654126	+	0.00654126i
$919$	−18.1716	−	31.4741i	−0.599424	−	1.03823i	−0.992906	−	0.118901i	$-0.962063\pi$
$919$	−18.1716	−	31.4741i	−0.599424	−	1.03823i	0.393482	−	0.919332i	$-0.371270\pi$
$920$	−4.13324	+	7.15898i	−0.136269	+	0.236024i
$921$	−0.585448	−	2.18492i	−0.0192912	−	0.0719956i
$922$	−31.9047	+	55.2606i	−1.05073	+	1.81991i
$923$	8.63217	+	10.1314i	0.284131	+	0.333480i
$924$	−4.84179	−	6.75484i	−0.159283	−	0.222218i
$925$	−0.438103	+	1.63502i	−0.0144047	+	0.0537592i
$926$	−92.5561			−3.04158
$927$	39.9955			1.31363
$928$	−1.20479	+	4.49635i	−0.0395492	+	0.147600i
$929$	49.1711	+	13.1754i	1.61325	+	0.432269i	0.949009	−	0.315248i	$-0.102088\pi$
$929$	49.1711	+	13.1754i	1.61325	+	0.432269i	0.664242	+	0.747518i	$0.268754\pi$
$930$	−5.49683	+	1.47287i	−0.180248	+	0.0482974i
$931$	1.57043	−	24.0564i	0.0514688	−	0.788418i
$932$	−2.56190	+	4.43734i	−0.0839177	+	0.145350i
$933$			1.39847i			0.0457839i
$934$	19.5867	−	5.24825i	0.640898	−	0.171728i
$935$	1.09762	−	0.633713i	0.0358961	−	0.0207246i
$936$	9.96000	+	54.0995i	0.325553	+	1.76830i
$937$		−	55.7488i		−	1.82123i	−0.413251	−	0.910617i	$-0.635607\pi$
$937$		−	55.7488i		−	1.82123i	0.413251	−	0.910617i	$-0.364393\pi$
$938$	14.4679	+	38.4252i	0.472395	+	1.25463i
$939$	0.485664	+	0.841195i	0.0158491	+	0.0274514i
$940$	−51.6836	+	29.8396i	−1.68573	+	0.973259i
$941$	7.44082	+	1.99376i	0.242564	+	0.0649948i	0.378053	−	0.925784i	$-0.376594\pi$
$941$	7.44082	+	1.99376i	0.242564	+	0.0649948i	−0.135489	+	0.990779i	$0.543260\pi$
$942$	−2.79030	−	2.79030i	−0.0909130	−	0.0909130i
$943$	1.86712	−	6.96819i	0.0608018	−	0.226916i
$944$	−12.5588	−	12.5588i	−0.408753	−	0.408753i
$945$	−5.99653	−	2.71605i	−0.195067	−	0.0883531i
$946$	−68.3998	+	39.4906i	−2.22387	+	1.28395i
$947$	−27.7853	+	27.7853i	−0.902900	+	0.902900i	−0.995686	−	0.0927863i	$-0.970423\pi$
$947$	−27.7853	+	27.7853i	−0.902900	+	0.902900i	0.0927863	+	0.995686i	$0.470423\pi$
$948$	−4.21368	−	7.29831i	−0.136854	−	0.237038i
$949$	−8.92120	+	1.64244i	−0.289594	+	0.0533159i
$950$	8.00700	+	4.62284i	0.259781	+	0.149985i
$951$	−1.67936	−	0.449982i	−0.0544568	−	0.0145917i
$952$	1.52369	−	0.150271i	0.0493830	−	0.00487032i
$953$	−34.9303	−	20.1670i	−1.13150	−	0.653275i	−0.187192	−	0.982323i	$-0.559939\pi$
$953$	−34.9303	−	20.1670i	−1.13150	−	0.653275i	−0.944313	+	0.329049i	$0.893272\pi$
$954$	−34.1293	+	9.14491i	−1.10498	+	0.296077i
$955$	−13.4341	+	13.4341i	−0.434717	+	0.434717i
$956$	35.0812	−	35.0812i	1.13461	−	1.13461i
$957$	−4.19549	+	1.12418i	−0.135621	+	0.0363396i
$958$	46.4269	+	26.8046i	1.49999	+	0.866017i
$959$	22.4980	−	2.21883i	0.726499	−	0.0716497i
$960$	−2.80225	−	0.750861i	−0.0904423	−	0.0242339i
$961$	−0.285588	−	0.164884i	−0.00921252	−	0.00531885i
$962$	5.93755	+	12.4867i	0.191434	+	0.402586i
$963$	−12.2722	−	21.2561i	−0.395466	−	0.684967i
$964$	7.01355	−	7.01355i	0.225891	−	0.225891i
$965$	0.532585	−	0.307488i	0.0171445	−	0.00989840i
$966$	−0.654872	−	0.296616i	−0.0210702	−	0.00954345i
$967$	−1.13971	−	1.13971i	−0.0366507	−	0.0366507i	0.688544	−	0.725195i	$-0.258250\pi$
$967$	−1.13971	−	1.13971i	−0.0366507	−	0.0366507i	−0.725195	+	0.688544i	$0.758250\pi$
$968$	12.9809	−	48.4455i	0.417223	−	1.55710i
$969$	0.0463486	+	0.0463486i	0.00148893	+	0.00148893i
$970$	23.7156	+	6.35457i	0.761462	+	0.204033i
$971$	−22.6332	+	13.0673i	−0.726333	+	0.419348i	−0.817079	−	0.576526i	$-0.804408\pi$
$971$	−22.6332	+	13.0673i	−0.726333	+	0.419348i	0.0907462	+	0.995874i	$0.471075\pi$
$972$	9.18765	+	15.9135i	0.294694	+	0.510425i
$973$	−10.6720	−	28.3436i	−0.342129	−	0.908654i
$974$			44.5023i			1.42595i
$975$	0.284617	+	0.598549i	0.00911504	+	0.0191689i
$976$	−59.7574	+	34.5009i	−1.91279	+	1.10435i
$977$	15.3729	−	4.11917i	0.491824	−	0.131784i	−0.00437887	−	0.999990i	$-0.501394\pi$
$977$	15.3729	−	4.11917i	0.491824	−	0.131784i	0.496203	+	0.868207i	$0.334727\pi$
$978$			7.69503i			0.246060i
$979$	19.7967	−	34.2890i	0.632707	−	1.09588i
$980$	31.2002	+	63.2261i	0.996653	+	2.01968i
$981$	−38.6516	+	10.3567i	−1.23405	+	0.330663i
$982$	15.4957	+	4.15207i	0.494489	+	0.132498i
$983$	2.03290	−	7.58689i	0.0648395	−	0.241984i	−0.925898	−	0.377773i	$-0.876690\pi$
$983$	2.03290	−	7.58689i	0.0648395	−	0.241984i	0.990738	+	0.135788i	$0.0433567\pi$
$984$	−9.58556			−0.305577
$985$	16.4603			0.524467
$986$	0.406056	−	1.51542i	0.0129315	−	0.0482609i
$987$	−1.54219	−	2.15153i	−0.0490885	−	0.0684840i
$988$	49.8489	−	9.17745i	1.58590	−	0.291974i
$989$	−2.29270	+	3.97108i	−0.0729038	+	0.126273i
$990$	−21.3280	−	79.5972i	−0.677848	−	2.52976i
$991$	−2.27497	+	3.94037i	−0.0722669	+	0.125170i	−0.899894	−	0.436108i	$-0.856357\pi$
$991$	−2.27497	+	3.94037i	−0.0722669	+	0.125170i	0.827628	+	0.561278i	$0.189690\pi$
$992$	−2.28370	−	3.95548i	−0.0725074	−	0.125586i
$993$	2.06935	−	2.06935i	0.0656688	−	0.0656688i
$994$	−8.48755	−	22.5420i	−0.269209	−	0.714988i
$995$	3.44120	+	12.8428i	0.109094	+	0.407143i
$996$	0.842930	+	3.14586i	0.0267093	+	0.0996803i
$997$			20.0987i			0.636534i	0.948001	+	0.318267i	$0.103101\pi$
$997$			20.0987i			0.636534i	−0.948001	+	0.318267i	$0.896899\pi$
$998$	43.0108	+	24.8323i	1.36148	+	0.786052i
$999$	1.10871	+	1.10871i	0.0350780	+	0.0350780i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	91.2.ba.a.89.7	yes	28
3.2	odd	2		819.2.et.b.271.1		28
7.2	even	3		637.2.bd.b.440.7		28
7.3	odd	6		91.2.w.a.24.1	yes	28
7.4	even	3		637.2.x.a.570.1		28
7.5	odd	6		637.2.bd.a.440.7		28
7.6	odd	2		637.2.bb.a.362.7		28
13.6	odd	12		91.2.w.a.19.1	✓	28
21.17	even	6		819.2.gh.b.388.7		28
39.32	even	12		819.2.gh.b.19.7		28
91.6	even	12		637.2.x.a.19.1		28
91.19	even	12		637.2.bd.b.97.7		28
91.32	odd	12		637.2.bb.a.227.7		28
91.45	even	12	inner	91.2.ba.a.45.7	yes	28
91.58	odd	12		637.2.bd.a.97.7		28
273.227	odd	12		819.2.et.b.136.1		28

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
91.2.w.a.19.1	✓	28	13.6	odd	12
91.2.w.a.24.1	yes	28	7.3	odd	6
91.2.ba.a.45.7	yes	28	91.45	even	12	inner
91.2.ba.a.89.7	yes	28	1.1	even	1	trivial
637.2.x.a.19.1		28	91.6	even	12
637.2.x.a.570.1		28	7.4	even	3
637.2.bb.a.227.7		28	91.32	odd	12
637.2.bb.a.362.7		28	7.6	odd	2
637.2.bd.a.97.7		28	91.58	odd	12
637.2.bd.a.440.7		28	7.5	odd	6
637.2.bd.b.97.7		28	91.19	even	12
637.2.bd.b.440.7		28	7.2	even	3
819.2.et.b.136.1		28	273.227	odd	12
819.2.et.b.271.1		28	3.2	odd	2
819.2.gh.b.19.7		28	39.32	even	12
819.2.gh.b.388.7		28	21.17	even	6

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:	\( N \)	\(=\)	\( 91 = 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	91.ba (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(1.74384 + 1.74384i) q^{2} +(-0.146239 - 0.0844309i) q^{3} +4.08193i q^{4} +(-0.638637 - 2.38343i) q^{5} +(-0.107782 - 0.402250i) q^{6} +(-2.04541 - 1.67818i) q^{7} +(-3.63054 + 3.63054i) q^{8} +(-1.48574 - 2.57338i) q^{9} +O(q^{10})\)	\(q+(1.74384 + 1.74384i) q^{2} +(-0.146239 - 0.0844309i) q^{3} +4.08193i q^{4} +(-0.638637 - 2.38343i) q^{5} +(-0.107782 - 0.402250i) q^{6} +(-2.04541 - 1.67818i) q^{7} +(-3.63054 + 3.63054i) q^{8} +(-1.48574 - 2.57338i) q^{9} +(3.04263 - 5.26998i) q^{10} +(1.17950 + 4.40195i) q^{11} +(0.344641 - 0.596935i) q^{12} +(1.54835 + 3.25617i) q^{13} +(-0.640394 - 6.49333i) q^{14} +(-0.107841 + 0.402470i) q^{15} -4.49827 q^{16} +0.112710 q^{17} +(1.89666 - 7.07845i) q^{18} +(-3.32660 - 0.891360i) q^{19} +(9.72897 - 2.60687i) q^{20} +(0.157428 + 0.418111i) q^{21} +(-5.61943 + 9.73314i) q^{22} +0.652493i q^{23} +(0.837454 - 0.224395i) q^{24} +(-0.942740 + 0.544291i) q^{25} +(-2.97816 + 8.37828i) q^{26} +1.00836i q^{27} +(6.85021 - 8.34922i) q^{28} +(-2.82213 - 4.88807i) q^{29} +(-0.889899 + 0.513783i) q^{30} +(5.34937 + 1.43336i) q^{31} +(-0.583169 - 0.583169i) q^{32} +(0.199172 - 0.743322i) q^{33} +(0.196548 + 0.196548i) q^{34} +(-2.69354 + 5.94684i) q^{35} +(10.5044 - 6.06469i) q^{36} +(1.09952 - 1.09952i) q^{37} +(-4.24666 - 7.35543i) q^{38} +(0.0484931 - 0.606906i) q^{39} +(10.9717 + 6.33453i) q^{40} +(-10.6793 - 2.86152i) q^{41} +(-0.454588 + 1.00365i) q^{42} +(6.08601 + 3.51376i) q^{43} +(-17.9684 + 4.81463i) q^{44} +(-5.18462 + 5.18462i) q^{45} +(-1.13784 + 1.13784i) q^{46} +(-5.72325 + 1.53354i) q^{47} +(0.657821 + 0.379793i) q^{48} +(1.36743 + 6.86514i) q^{49} +(-2.59314 - 0.694830i) q^{50} +(-0.0164826 - 0.00951622i) q^{51} +(-13.2914 + 6.32024i) q^{52} +(-2.41079 - 4.17561i) q^{53} +(-1.75841 + 1.75841i) q^{54} +(9.73846 - 5.62250i) q^{55} +(13.5186 - 1.33325i) q^{56} +(0.411219 + 0.411219i) q^{57} +(3.60266 - 13.4453i) q^{58} +(2.79191 + 2.79191i) q^{59} +(-1.64285 - 0.440201i) q^{60} +(13.2845 - 7.66982i) q^{61} +(6.82887 + 11.8280i) q^{62} +(-1.27964 + 7.75697i) q^{63} +6.96264i q^{64} +(6.77201 - 5.76988i) q^{65} +(1.64355 - 0.948907i) q^{66} +(-6.07826 + 1.62866i) q^{67} +0.460075i q^{68} +(0.0550906 - 0.0954197i) q^{69} +(-15.0674 + 5.67322i) q^{70} +(3.56578 - 0.955449i) q^{71} +(14.7368 + 3.94872i) q^{72} +(-0.651157 + 2.43015i) q^{73} +3.83477 q^{74} +0.183820 q^{75} +(3.63847 - 13.5789i) q^{76} +(4.97470 - 10.9832i) q^{77} +(1.14291 - 0.973780i) q^{78} +(6.11315 - 10.5883i) q^{79} +(2.87276 + 10.7213i) q^{80} +(-4.37209 + 7.57269i) q^{81} +(-13.6330 - 23.6130i) q^{82} +(-3.34105 + 3.34105i) q^{83} +(-1.70670 + 0.642610i) q^{84} +(-0.0719809 - 0.268637i) q^{85} +(4.48558 + 16.7404i) q^{86} +0.953099i q^{87} +(-20.2637 - 11.6992i) q^{88} +(-6.14338 - 6.14338i) q^{89} -18.0822 q^{90} +(2.29743 - 9.25861i) q^{91} -2.66343 q^{92} +(-0.661264 - 0.661264i) q^{93} +(-12.6547 - 7.30617i) q^{94} +8.49797i q^{95} +(0.0360444 + 0.134519i) q^{96} +(1.04426 + 3.89722i) q^{97} +(-9.58711 + 14.3562i) q^{98} +(9.57547 - 9.57547i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 28 q - 2 q^{2} - 6 q^{3} - 6 q^{5} - 12 q^{6} - 6 q^{7} - 4 q^{8} + 6 q^{9}+O(q^{10}) \) 28 * q - 2 * q^2 - 6 * q^3 - 6 * q^5 - 12 * q^6 - 6 * q^7 - 4 * q^8 + 6 * q^9	\( 28 q - 2 q^{2} - 6 q^{3} - 6 q^{5} - 12 q^{6} - 6 q^{7} - 4 q^{8} + 6 q^{9} - 6 q^{10} + 2 q^{11} - 8 q^{12} - 20 q^{14} + 10 q^{15} + 4 q^{16} - 12 q^{17} + 2 q^{18} + 14 q^{19} + 36 q^{20} - 6 q^{21} - 8 q^{22} - 18 q^{24} + 24 q^{26} + 2 q^{28} - 8 q^{29} - 30 q^{30} - 4 q^{31} + 10 q^{32} - 12 q^{33} - 12 q^{34} - 20 q^{35} + 54 q^{36} - 10 q^{37} - 20 q^{39} + 48 q^{40} - 18 q^{41} - 10 q^{42} + 48 q^{43} - 6 q^{44} - 6 q^{45} + 24 q^{46} - 6 q^{47} - 12 q^{48} - 50 q^{49} + 10 q^{50} - 12 q^{51} - 26 q^{52} + 12 q^{53} - 30 q^{54} + 6 q^{55} + 54 q^{56} + 12 q^{57} - 46 q^{58} + 42 q^{59} + 10 q^{60} + 30 q^{61} + 36 q^{62} + 54 q^{63} + 28 q^{65} + 66 q^{66} - 10 q^{67} - 42 q^{69} - 88 q^{70} - 42 q^{71} + 46 q^{72} + 40 q^{73} + 12 q^{74} - 40 q^{75} - 52 q^{76} - 62 q^{78} + 4 q^{79} + 30 q^{80} - 6 q^{81} - 54 q^{82} + 66 q^{83} + 104 q^{84} - 54 q^{85} - 18 q^{86} - 6 q^{88} + 72 q^{90} + 26 q^{91} - 156 q^{92} + 20 q^{93} - 18 q^{94} - 66 q^{96} - 62 q^{97} - 56 q^{98} - 36 q^{99}+O(q^{100}) \) 28 * q - 2 * q^2 - 6 * q^3 - 6 * q^5 - 12 * q^6 - 6 * q^7 - 4 * q^8 + 6 * q^9 - 6 * q^10 + 2 * q^11 - 8 * q^12 - 20 * q^14 + 10 * q^15 + 4 * q^16 - 12 * q^17 + 2 * q^18 + 14 * q^19 + 36 * q^20 - 6 * q^21 - 8 * q^22 - 18 * q^24 + 24 * q^26 + 2 * q^28 - 8 * q^29 - 30 * q^30 - 4 * q^31 + 10 * q^32 - 12 * q^33 - 12 * q^34 - 20 * q^35 + 54 * q^36 - 10 * q^37 - 20 * q^39 + 48 * q^40 - 18 * q^41 - 10 * q^42 + 48 * q^43 - 6 * q^44 - 6 * q^45 + 24 * q^46 - 6 * q^47 - 12 * q^48 - 50 * q^49 + 10 * q^50 - 12 * q^51 - 26 * q^52 + 12 * q^53 - 30 * q^54 + 6 * q^55 + 54 * q^56 + 12 * q^57 - 46 * q^58 + 42 * q^59 + 10 * q^60 + 30 * q^61 + 36 * q^62 + 54 * q^63 + 28 * q^65 + 66 * q^66 - 10 * q^67 - 42 * q^69 - 88 * q^70 - 42 * q^71 + 46 * q^72 + 40 * q^73 + 12 * q^74 - 40 * q^75 - 52 * q^76 - 62 * q^78 + 4 * q^79 + 30 * q^80 - 6 * q^81 - 54 * q^82 + 66 * q^83 + 104 * q^84 - 54 * q^85 - 18 * q^86 - 6 * q^88 + 72 * q^90 + 26 * q^91 - 156 * q^92 + 20 * q^93 - 18 * q^94 - 66 * q^96 - 62 * q^97 - 56 * q^98 - 36 * q^99

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