LMFDB - Embedded newform 280.3.o.a.211.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [280,3,Mod(211,280)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(280, base_ring=CyclotomicField(2))

chi = DirichletCharacter(H, H._module([1, 1, 0, 0]))

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

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

chi := DirichletCharacter("280.211");

S:= CuspForms(chi, 3);

N := Newforms(S);

Level:	$ N $	$=$	$ 280 = 2^{3} \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 3 $
Character orbit:	$[\chi]$	$=$	280.o (of order $2$, degree $1$, 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:	$7.62944740209$
Analytic rank:	$0$
Dimension:	$48$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{2}]$

Embedding invariants

Embedding label			211.7
Character	$\chi$	$=$	280.211
Dual form			280.3.o.a.211.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.88400 - 0.671219i) q^{2} -2.90764 q^{3} +(3.09893 + 2.52916i) q^{4} -2.23607i q^{5} +(5.47799 + 1.95166i) q^{6} +2.64575i q^{7} +(-4.14077 - 6.84500i) q^{8} -0.545650 q^{9} +O(q^{10})$	\(q+(-1.88400 - 0.671219i) q^{2} -2.90764 q^{3} +(3.09893 + 2.52916i) q^{4} -2.23607i q^{5} +(5.47799 + 1.95166i) q^{6} +2.64575i q^{7} +(-4.14077 - 6.84500i) q^{8} -0.545650 q^{9} +(-1.50089 + 4.21276i) q^{10} +3.72992 q^{11} +(-9.01056 - 7.35387i) q^{12} +11.4554i q^{13} +(1.77588 - 4.98460i) q^{14} +6.50167i q^{15} +(3.20672 + 15.6754i) q^{16} -21.0578 q^{17} +(1.02801 + 0.366251i) q^{18} +34.1011 q^{19} +(5.65537 - 6.92942i) q^{20} -7.69288i q^{21} +(-7.02717 - 2.50359i) q^{22} -13.2839i q^{23} +(12.0398 + 19.9028i) q^{24} -5.00000 q^{25} +(7.68905 - 21.5819i) q^{26} +27.7553 q^{27} +(-6.69152 + 8.19899i) q^{28} -16.0429i q^{29} +(4.36405 - 12.2492i) q^{30} -34.3776i q^{31} +(4.48014 - 31.6848i) q^{32} -10.8452 q^{33} +(39.6730 + 14.1344i) q^{34} +5.91608 q^{35} +(-1.69093 - 1.38004i) q^{36} -55.8425i q^{37} +(-64.2466 - 22.8893i) q^{38} -33.3080i q^{39} +(-15.3059 + 9.25904i) q^{40} +60.4834 q^{41} +(-5.16361 + 14.4934i) q^{42} +43.8665 q^{43} +(11.5587 + 9.43355i) q^{44} +1.22011i q^{45} +(-8.91642 + 25.0269i) q^{46} -54.2795i q^{47} +(-9.32397 - 45.5783i) q^{48} -7.00000 q^{49} +(9.42001 + 3.35610i) q^{50} +61.2286 q^{51} +(-28.9724 + 35.4993i) q^{52} +2.77880i q^{53} +(-52.2910 - 18.6299i) q^{54} -8.34035i q^{55} +(18.1102 - 10.9554i) q^{56} -99.1537 q^{57} +(-10.7683 + 30.2248i) q^{58} +47.3973 q^{59} +(-16.4438 + 20.1482i) q^{60} +46.1788i q^{61} +(-23.0749 + 64.7674i) q^{62} -1.44365i q^{63} +(-29.7081 + 56.6871i) q^{64} +25.6149 q^{65} +(20.4325 + 7.27954i) q^{66} -58.3870 q^{67} +(-65.2568 - 53.2586i) q^{68} +38.6248i q^{69} +(-11.1459 - 3.97099i) q^{70} -61.6792i q^{71} +(2.25941 + 3.73498i) q^{72} +50.9950 q^{73} +(-37.4826 + 105.207i) q^{74} +14.5382 q^{75} +(105.677 + 86.2471i) q^{76} +9.86843i q^{77} +(-22.3570 + 62.7523i) q^{78} +44.8179i q^{79} +(35.0512 - 7.17044i) q^{80} -75.7914 q^{81} +(-113.951 - 40.5976i) q^{82} +146.534 q^{83} +(19.4565 - 23.8397i) q^{84} +47.0868i q^{85} +(-82.6445 - 29.4440i) q^{86} +46.6468i q^{87} +(-15.4447 - 25.5313i) q^{88} -64.3103 q^{89} +(0.818962 - 2.29869i) q^{90} -30.3080 q^{91} +(33.5971 - 41.1659i) q^{92} +99.9574i q^{93} +(-36.4335 + 102.263i) q^{94} -76.2524i q^{95} +(-13.0266 + 92.1280i) q^{96} +33.0183 q^{97} +(13.1880 + 4.69854i) q^{98} -2.03523 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 48 q - 2 q^{2} + 10 q^{4} + 24 q^{6} - 26 q^{8} + 144 q^{9}+O(q^{10}) $ 48 * q - 2 * q^2 + 10 * q^4 + 24 * q^6 - 26 * q^8 + 144 * q^9	$ 48 q - 2 q^{2} + 10 q^{4} + 24 q^{6} - 26 q^{8} + 144 q^{9} + 20 q^{10} + 32 q^{11} - 60 q^{12} - 14 q^{14} + 18 q^{16} + 54 q^{18} - 64 q^{19} - 32 q^{22} - 52 q^{24} - 240 q^{25} - 156 q^{26} + 192 q^{27} - 70 q^{28} - 80 q^{30} - 42 q^{32} - 32 q^{33} - 120 q^{34} + 158 q^{36} - 100 q^{38} + 80 q^{40} - 96 q^{41} - 96 q^{43} - 20 q^{44} - 16 q^{46} + 60 q^{48} - 336 q^{49} + 10 q^{50} + 192 q^{51} + 56 q^{52} + 428 q^{54} + 14 q^{56} + 160 q^{57} + 564 q^{58} - 576 q^{59} - 60 q^{60} + 64 q^{62} - 14 q^{64} - 132 q^{66} - 160 q^{67} + 36 q^{68} + 58 q^{72} + 272 q^{74} + 300 q^{76} - 180 q^{78} + 320 q^{80} + 656 q^{81} - 412 q^{82} - 196 q^{84} + 332 q^{86} + 820 q^{88} + 240 q^{90} + 544 q^{92} - 244 q^{94} - 1444 q^{96} + 14 q^{98} + 224 q^{99}+O(q^{100}) $ 48 * q - 2 * q^2 + 10 * q^4 + 24 * q^6 - 26 * q^8 + 144 * q^9 + 20 * q^10 + 32 * q^11 - 60 * q^12 - 14 * q^14 + 18 * q^16 + 54 * q^18 - 64 * q^19 - 32 * q^22 - 52 * q^24 - 240 * q^25 - 156 * q^26 + 192 * q^27 - 70 * q^28 - 80 * q^30 - 42 * q^32 - 32 * q^33 - 120 * q^34 + 158 * q^36 - 100 * q^38 + 80 * q^40 - 96 * q^41 - 96 * q^43 - 20 * q^44 - 16 * q^46 + 60 * q^48 - 336 * q^49 + 10 * q^50 + 192 * q^51 + 56 * q^52 + 428 * q^54 + 14 * q^56 + 160 * q^57 + 564 * q^58 - 576 * q^59 - 60 * q^60 + 64 * q^62 - 14 * q^64 - 132 * q^66 - 160 * q^67 + 36 * q^68 + 58 * q^72 + 272 * q^74 + 300 * q^76 - 180 * q^78 + 320 * q^80 + 656 * q^81 - 412 * q^82 - 196 * q^84 + 332 * q^86 + 820 * q^88 + 240 * q^90 + 544 * q^92 - 244 * q^94 - 1444 * q^96 + 14 * q^98 + 224 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/280\mathbb{Z}\right)^\times$.

$n$	$57$	$71$	$141$	$241$
$\chi(n)$	$1$	$-1$	$-1$	$1$

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 $

$2$	−1.88400	−	0.671219i	−0.942001	−	0.335610i
$2$	−1.88400	−	0.671219i	−0.942001	−	0.335610i
$3$	−2.90764			−0.969212			−0.484606	−	0.874733i	$-0.661037\pi$
$3$	−2.90764			−0.969212			−0.484606	+	0.874733i	$0.661037\pi$
$4$	3.09893	+	2.52916i	0.774732	+	0.632290i
$5$		−	2.23607i		−	0.447214i
$5$		−	2.23607i		−	0.447214i
$6$	5.47799	+	1.95166i	0.912999	+	0.325277i
$7$			2.64575i			0.377964i
$7$			2.64575i			0.377964i
$8$	−4.14077	−	6.84500i	−0.517596	−	0.855625i
$9$	−0.545650			−0.0606278
$10$	−1.50089	+	4.21276i	−0.150089	+	0.421276i
$11$	3.72992			0.339083			0.169542	−	0.985523i	$-0.445771\pi$
$11$	3.72992			0.339083			0.169542	+	0.985523i	$0.445771\pi$
$12$	−9.01056	−	7.35387i	−0.750880	−	0.612823i
$13$			11.4554i			0.881181i	0.897708	+	0.440590i	$0.145231\pi$
$13$			11.4554i			0.881181i	−0.897708	+	0.440590i	$0.854769\pi$
$14$	1.77588	−	4.98460i	0.126849	−	0.356043i
$15$			6.50167i			0.433445i
$16$	3.20672	+	15.6754i	0.200420	+	0.979710i
$17$	−21.0578			−1.23870			−0.619348	−	0.785116i	$-0.712603\pi$
$17$	−21.0578			−1.23870			−0.619348	+	0.785116i	$0.712603\pi$
$18$	1.02801	+	0.366251i	0.0571115	+	0.0203473i
$19$	34.1011			1.79480			0.897398	−	0.441222i	$-0.145455\pi$
$19$	34.1011			1.79480			0.897398	+	0.441222i	$0.145455\pi$
$20$	5.65537	−	6.92942i	0.282768	−	0.346471i
$21$		−	7.69288i		−	0.366328i
$22$	−7.02717	−	2.50359i	−0.319417	−	0.113800i
$23$		−	13.2839i		−	0.577561i	−0.957395	−	0.288781i	$-0.906750\pi$
$23$		−	13.2839i		−	0.577561i	0.957395	−	0.288781i	$-0.0932499\pi$
$24$	12.0398	+	19.9028i	0.501660	+	0.829282i
$25$	−5.00000			−0.200000
$26$	7.68905	−	21.5819i	0.295733	−	0.830073i
$27$	27.7553			1.02797
$28$	−6.69152	+	8.19899i	−0.238983	+	0.292821i
$29$		−	16.0429i		−	0.553202i	−0.960985	−	0.276601i	$-0.910792\pi$
$29$		−	16.0429i		−	0.553202i	0.960985	−	0.276601i	$-0.0892081\pi$
$30$	4.36405	−	12.2492i	0.145468	−	0.408306i
$31$		−	34.3776i		−	1.10895i	−0.832199	−	0.554477i	$-0.812918\pi$
$31$		−	34.3776i		−	1.10895i	0.832199	−	0.554477i	$-0.187082\pi$
$32$	4.48014	−	31.6848i	0.140004	−	0.990151i
$33$	−10.8452			−0.328644
$34$	39.6730	+	14.1344i	1.16685	+	0.415719i
$35$	5.91608			0.169031
$36$	−1.69093	−	1.38004i	−0.0469703	−	0.0383343i
$37$		−	55.8425i		−	1.50926i	−0.656152	−	0.754628i	$-0.727817\pi$
$37$		−	55.8425i		−	1.50926i	0.656152	−	0.754628i	$-0.272183\pi$
$38$	−64.2466	−	22.8893i	−1.69070	−	0.602351i
$39$		−	33.3080i		−	0.854051i
$40$	−15.3059	+	9.25904i	−0.382647	+	0.231476i
$41$	60.4834			1.47520			0.737602	−	0.675235i	$-0.235958\pi$
$41$	60.4834			1.47520			0.737602	+	0.675235i	$0.235958\pi$
$42$	−5.16361	+	14.4934i	−0.122943	+	0.345081i
$43$	43.8665			1.02015			0.510075	−	0.860130i	$-0.329618\pi$
$43$	43.8665			1.02015			0.510075	+	0.860130i	$0.329618\pi$
$44$	11.5587	+	9.43355i	0.262699	+	0.214399i
$45$			1.22011i			0.0271136i
$46$	−8.91642	+	25.0269i	−0.193835	+	0.544064i
$47$		−	54.2795i		−	1.15488i	−0.816432	−	0.577442i	$-0.804051\pi$
$47$		−	54.2795i		−	1.15488i	0.816432	−	0.577442i	$-0.195949\pi$
$48$	−9.32397	−	45.5783i	−0.194249	−	0.949547i
$49$	−7.00000			−0.142857
$50$	9.42001	+	3.35610i	0.188400	+	0.0671219i
$51$	61.2286			1.20056
$52$	−28.9724	+	35.4993i	−0.557161	+	0.682679i
$53$			2.77880i			0.0524302i	0.999656	+	0.0262151i	$0.00834549\pi$
$53$			2.77880i			0.0524302i	−0.999656	+	0.0262151i	$0.991655\pi$
$54$	−52.2910	−	18.6299i	−0.968352	−	0.344998i
$55$		−	8.34035i		−	0.151643i
$56$	18.1102	−	10.9554i	0.323396	−	0.195633i
$57$	−99.1537			−1.73954
$58$	−10.7683	+	30.2248i	−0.185660	+	0.521117i
$59$	47.3973			0.803344			0.401672	−	0.915784i	$-0.368429\pi$
$59$	47.3973			0.803344			0.401672	+	0.915784i	$0.368429\pi$
$60$	−16.4438	+	20.1482i	−0.274063	+	0.335804i
$61$			46.1788i			0.757030i	0.925595	+	0.378515i	$0.123565\pi$
$61$			46.1788i			0.757030i	−0.925595	+	0.378515i	$0.876435\pi$
$62$	−23.0749	+	64.7674i	−0.372176	+	1.04464i
$63$		−	1.44365i		−	0.0229152i
$64$	−29.7081	+	56.6871i	−0.464189	+	0.885736i
$65$	25.6149			0.394076
$66$	20.4325	+	7.27954i	0.309583	+	0.110296i
$67$	−58.3870			−0.871448			−0.435724	−	0.900080i	$-0.643508\pi$
$67$	−58.3870			−0.871448			−0.435724	+	0.900080i	$0.643508\pi$
$68$	−65.2568	−	53.2586i	−0.959658	−	0.783215i
$69$			38.6248i			0.559780i
$70$	−11.1459	−	3.97099i	−0.159227	−	0.0567284i
$71$		−	61.6792i		−	0.868721i	−0.900739	−	0.434361i	$-0.856974\pi$
$71$		−	61.6792i		−	0.868721i	0.900739	−	0.434361i	$-0.143026\pi$
$72$	2.25941	+	3.73498i	0.0313807	+	0.0518747i
$73$	50.9950			0.698562			0.349281	−	0.937018i	$-0.386426\pi$
$73$	50.9950			0.698562			0.349281	+	0.937018i	$0.386426\pi$
$74$	−37.4826	+	105.207i	−0.506521	+	1.42172i
$75$	14.5382			0.193842
$76$	105.677	+	86.2471i	1.39049	+	1.13483i
$77$			9.86843i			0.128161i
$78$	−22.3570	+	62.7523i	−0.286628	+	0.804517i
$79$			44.8179i			0.567315i	0.958926	+	0.283658i	$0.0915479\pi$
$79$			44.8179i			0.567315i	−0.958926	+	0.283658i	$0.908452\pi$
$80$	35.0512	−	7.17044i	0.438140	−	0.0896305i
$81$	−75.7914			−0.935696
$82$	−113.951	−	40.5976i	−1.38964	−	0.495093i
$83$	146.534			1.76547			0.882734	−	0.469874i	$-0.155700\pi$
$83$	146.534			1.76547			0.882734	+	0.469874i	$0.155700\pi$
$84$	19.4565	−	23.8397i	0.231625	−	0.283806i
$85$			47.0868i			0.553962i
$86$	−82.6445	−	29.4440i	−0.960983	−	0.342372i
$87$			46.6468i			0.536170i
$88$	−15.4447	−	25.5313i	−0.175508	−	0.290128i
$89$	−64.3103			−0.722587			−0.361294	−	0.932452i	$-0.617665\pi$
$89$	−64.3103			−0.722587			−0.361294	+	0.932452i	$0.617665\pi$
$90$	0.818962	−	2.29869i	0.00909958	−	0.0255410i
$91$	−30.3080			−0.333055
$92$	33.5971	−	41.1659i	0.365186	−	0.447455i
$93$			99.9574i			1.07481i
$94$	−36.4335	+	102.263i	−0.387590	+	1.08790i
$95$		−	76.2524i		−	0.802657i
$96$	−13.0266	+	92.1280i	−0.135694	+	0.959666i
$97$	33.0183			0.340395			0.170197	−	0.985410i	$-0.445559\pi$
$97$	33.0183			0.340395			0.170197	+	0.985410i	$0.445559\pi$
$98$	13.1880	+	4.69854i	0.134572	+	0.0479442i
$99$	−2.03523			−0.0205579
$100$	−15.4946	−	12.6458i	−0.154946	−	0.126458i
$101$		−	63.9852i		−	0.633516i	−0.948506	−	0.316758i	$-0.897406\pi$
$101$		−	63.9852i		−	0.633516i	0.948506	−	0.316758i	$-0.102594\pi$
$102$	−115.355	−	41.0978i	−1.13093	−	0.402920i
$103$			172.641i			1.67613i	0.545571	+	0.838065i	$0.316313\pi$
$103$			172.641i			1.67613i	−0.545571	+	0.838065i	$0.683687\pi$
$104$	78.4119	−	47.4340i	0.753960	−	0.456096i
$105$	−17.2018			−0.163827
$106$	1.86519	−	5.23527i	0.0175961	−	0.0493893i
$107$	−27.6358			−0.258278			−0.129139	−	0.991626i	$-0.541221\pi$
$107$	−27.6358			−0.258278			−0.129139	+	0.991626i	$0.541221\pi$
$108$	86.0116	+	70.1975i	0.796404	+	0.649977i
$109$		−	40.5524i		−	0.372040i	−0.982546	−	0.186020i	$-0.940441\pi$
$109$		−	40.5524i		−	0.372040i	0.982546	−	0.186020i	$-0.0595590\pi$
$110$	−5.59820	+	15.7132i	−0.0508928	+	0.142848i
$111$			162.370i			1.46279i
$112$	−41.4731	+	8.48418i	−0.370296	+	0.0757516i
$113$	111.982			0.990993			0.495496	−	0.868610i	$-0.334986\pi$
$113$	111.982			0.990993			0.495496	+	0.868610i	$0.334986\pi$
$114$	186.806	+	66.5539i	1.63865	+	0.583806i
$115$	−29.7037			−0.258293
$116$	40.5749	−	49.7157i	0.349784	−	0.428583i
$117$		−	6.25062i		−	0.0534241i
$118$	−89.2966	−	31.8140i	−0.756751	−	0.269610i
$119$		−	55.7138i		−	0.468183i
$120$	44.5040	−	26.9219i	0.370866	−	0.224349i
$121$	−107.088			−0.885023
$122$	30.9961	−	87.0010i	0.254067	−	0.713123i
$123$	−175.864			−1.42979
$124$	86.9463	−	106.534i	0.701180	−	0.859142i
$125$			11.1803i			0.0894427i
$126$	−0.969009	+	2.71985i	−0.00769055	+	0.0215861i
$127$			6.61733i			0.0521049i	0.999661	+	0.0260525i	$0.00829369\pi$
$127$			6.61733i			0.0521049i	−0.999661	+	0.0260525i	$0.991706\pi$
$128$	94.0196	−	86.8580i	0.734528	−	0.678578i
$129$	−127.548			−0.988742
$130$	−48.2586	−	17.1932i	−0.371220	−	0.132256i
$131$	43.4236			0.331478			0.165739	−	0.986170i	$-0.446999\pi$
$131$	43.4236			0.331478			0.165739	+	0.986170i	$0.446999\pi$
$132$	−33.6086	−	27.4293i	−0.254611	−	0.207798i
$133$			90.2231i			0.678369i
$134$	110.001	+	39.1905i	0.820905	+	0.292466i
$135$		−	62.0627i		−	0.459724i
$136$	87.1957	+	144.141i	0.641145	+	1.05986i
$137$	−190.903			−1.39346			−0.696728	−	0.717336i	$-0.745361\pi$
$137$	−190.903			−1.39346			−0.696728	+	0.717336i	$0.745361\pi$
$138$	25.9257	−	72.7692i	0.187867	−	0.527313i
$139$	−49.7124			−0.357643			−0.178821	−	0.983882i	$-0.557228\pi$
$139$	−49.7124			−0.357643			−0.178821	+	0.983882i	$0.557228\pi$
$140$	18.3335	+	14.9627i	0.130954	+	0.106876i
$141$			157.825i			1.11933i
$142$	−41.4003	+	116.204i	−0.291551	+	0.818336i
$143$			42.7275i			0.298794i
$144$	−1.74975	−	8.55327i	−0.0121510	−	0.0593977i
$145$	−35.8729			−0.247400
$146$	−96.0747	−	34.2289i	−0.658046	−	0.234444i
$147$	20.3535			0.138459
$148$	141.235	−	173.052i	0.954287	−	1.16927i
$149$		−	210.354i		−	1.41177i	−0.708325	−	0.705886i	$-0.750549\pi$
$149$		−	210.354i		−	1.41177i	0.708325	−	0.705886i	$-0.249451\pi$
$150$	−27.3900	−	9.75831i	−0.182600	−	0.0650554i
$151$		−	249.557i		−	1.65270i	−0.563160	−	0.826348i	$-0.690415\pi$
$151$		−	249.557i		−	1.65270i	0.563160	−	0.826348i	$-0.309585\pi$
$152$	−141.205	−	233.422i	−0.928979	−	1.53567i
$153$	11.4902			0.0750995
$154$	6.62388	−	18.5921i	0.0430122	−	0.120728i
$155$	−76.8705			−0.495939
$156$	84.2412	−	103.219i	0.540008	−	0.661661i
$157$		−	286.796i		−	1.82673i	−0.407145	−	0.913363i	$-0.633476\pi$
$157$		−	286.796i		−	1.82673i	0.407145	−	0.913363i	$-0.366524\pi$
$158$	30.0826	−	84.4370i	0.190396	−	0.534411i
$159$		−	8.07975i		−	0.0508160i
$160$	−70.8494	−	10.0179i	−0.442809	−	0.0626119i
$161$	35.1459			0.218298
$162$	142.791	+	50.8727i	0.881427	+	0.314029i
$163$	305.698			1.87545			0.937724	−	0.347382i	$-0.112929\pi$
$163$	305.698			1.87545			0.937724	+	0.347382i	$0.112929\pi$
$164$	187.434	+	152.972i	1.14289	+	0.932756i
$165$			24.2507i			0.146974i
$166$	−276.070	−	98.3563i	−1.66307	−	0.592508i
$167$			132.454i			0.793136i	0.918005	+	0.396568i	$0.129799\pi$
$167$			132.454i			0.793136i	−0.918005	+	0.396568i	$0.870201\pi$
$168$	−52.6578	+	31.8544i	−0.313439	+	0.189610i
$169$	37.7749			0.223520
$170$	31.6056	−	88.7116i	0.185915	−	0.521833i
$171$	−18.6073			−0.108815
$172$	135.939	+	110.945i	0.790343	+	0.645030i
$173$			314.979i			1.82069i	0.413854	+	0.910343i	$0.364182\pi$
$173$			314.979i			1.82069i	−0.413854	+	0.910343i	$0.635818\pi$
$174$	31.3102	−	87.8827i	0.179944	−	0.505073i
$175$		−	13.2288i		−	0.0755929i
$176$	11.9608	+	58.4678i	0.0679591	+	0.332203i
$177$	−137.814			−0.778611
$178$	121.161	+	43.1663i	0.680678	+	0.242507i
$179$	−45.7818			−0.255764			−0.127882	−	0.991789i	$-0.540818\pi$
$179$	−45.7818			−0.255764			−0.127882	+	0.991789i	$0.540818\pi$
$180$	−3.08585	+	3.78104i	−0.0171436	+	0.0210058i
$181$			193.246i			1.06766i	0.845592	+	0.533829i	$0.179247\pi$
$181$			193.246i			1.06766i	−0.845592	+	0.533829i	$0.820753\pi$
$182$	57.1004	+	20.3433i	0.313738	+	0.111777i
$183$		−	134.271i		−	0.733722i
$184$	−90.9284	+	55.0056i	−0.494176	+	0.298944i
$185$	−124.868			−0.674960
$186$	67.0934	−	188.320i	0.360717	−	1.01247i
$187$	−78.5440			−0.420021
$188$	137.281	−	168.208i	0.730221	−	0.894725i
$189$			73.4336i			0.388537i
$190$	−51.1821	+	143.660i	−0.269380	+	0.756104i
$191$			236.860i			1.24010i	0.784561	+	0.620052i	$0.212888\pi$
$191$			236.860i			1.24010i	−0.784561	+	0.620052i	$0.787112\pi$
$192$	86.3803	−	164.826i	0.449897	−	0.858466i
$193$	169.608			0.878800			0.439400	−	0.898292i	$-0.355191\pi$
$193$	169.608			0.878800			0.439400	+	0.898292i	$0.355191\pi$
$194$	−62.2065	−	22.1625i	−0.320652	−	0.114240i
$195$	−74.4789			−0.381943
$196$	−21.6925	−	17.7041i	−0.110676	−	0.0903271i
$197$		−	101.250i		−	0.513957i	−0.966417	−	0.256978i	$-0.917273\pi$
$197$		−	101.250i		−	0.513957i	0.966417	−	0.256978i	$-0.0827269\pi$
$198$	3.83438	+	1.36609i	0.0193655	+	0.00689942i
$199$			133.520i			0.670953i	0.942049	+	0.335476i	$0.108897\pi$
$199$			133.520i			0.670953i	−0.942049	+	0.335476i	$0.891103\pi$
$200$	20.7038	+	34.2250i	0.103519	+	0.171125i
$201$	169.768			0.844618
$202$	−42.9481	+	120.548i	−0.212614	+	0.596773i
$203$	42.4454			0.209091
$204$	189.743	+	154.857i	0.930112	+	0.759101i
$205$		−	135.245i		−	0.659732i
$206$	115.880	−	325.257i	0.562525	−	1.57892i
$207$			7.24837i			0.0350163i
$208$	−179.567	+	36.7341i	−0.863302	+	0.176606i
$209$	127.194			0.608585
$210$	32.4082	+	11.5462i	0.154325	+	0.0549819i
$211$	101.033			0.478830			0.239415	−	0.970917i	$-0.423044\pi$
$211$	101.033			0.478830			0.239415	+	0.970917i	$0.423044\pi$
$212$	−7.02803	+	8.61131i	−0.0331511	+	0.0406194i
$213$			179.341i			0.841975i
$214$	52.0659	+	18.5497i	0.243298	+	0.0866807i
$215$		−	98.0884i		−	0.456225i
$216$	−114.928	−	189.985i	−0.532075	−	0.879560i
$217$	90.9545			0.419145
$218$	−27.2196	+	76.4008i	−0.124860	+	0.350462i
$219$	−148.275			−0.677055
$220$	21.0941	−	25.8461i	0.0958821	−	0.117482i
$221$		−	241.225i		−	1.09152i
$222$	108.986	−	305.905i	0.490927	−	1.37795i
$223$		−	202.640i		−	0.908700i	−0.890823	−	0.454350i	$-0.849871\pi$
$223$		−	202.640i		−	0.908700i	0.890823	−	0.454350i	$-0.150129\pi$
$224$	83.8302	+	11.8533i	0.374242	+	0.0529167i
$225$	2.72825			0.0121256
$226$	−210.975	−	75.1646i	−0.933516	−	0.332587i
$227$	267.140			1.17683			0.588414	−	0.808560i	$-0.299752\pi$
$227$	267.140			1.17683			0.588414	+	0.808560i	$0.299752\pi$
$228$	−307.270	−	250.775i	−1.34768	−	1.09989i
$229$		−	206.318i		−	0.900952i	−0.892788	−	0.450476i	$-0.851254\pi$
$229$		−	206.318i		−	0.900952i	0.892788	−	0.450476i	$-0.148746\pi$
$230$	55.9619	+	19.9377i	0.243313	+	0.0866858i
$231$		−	28.6938i		−	0.124216i
$232$	−109.813	+	66.4298i	−0.473334	+	0.286335i
$233$	−211.775			−0.908904			−0.454452	−	0.890771i	$-0.650165\pi$
$233$	−211.775			−0.908904			−0.454452	+	0.890771i	$0.650165\pi$
$234$	−4.19553	+	11.7762i	−0.0179296	+	0.0503255i
$235$	−121.373			−0.516480
$236$	146.881	+	119.875i	0.622376	+	0.507946i
$237$		−	130.314i		−	0.549849i
$238$	−37.3962	+	104.965i	−0.157127	+	0.441029i
$239$		−	289.274i		−	1.21035i	−0.796092	−	0.605175i	$-0.793103\pi$
$239$		−	289.274i		−	1.21035i	0.796092	−	0.605175i	$-0.206897\pi$
$240$	−101.916	+	20.8490i	−0.424650	+	0.0868710i
$241$	4.15604			0.0172450			0.00862249	−	0.999963i	$-0.497255\pi$
$241$	4.15604			0.0172450			0.00862249	+	0.999963i	$0.497255\pi$
$242$	201.754	+	71.8794i	0.833692	+	0.297022i
$243$	−29.4237			−0.121085
$244$	−116.794	+	143.105i	−0.478662	+	0.586495i
$245$			15.6525i			0.0638877i
$246$	331.328	+	118.043i	1.34686	+	0.479850i
$247$			390.640i			1.58154i
$248$	−235.314	+	142.349i	−0.948848	+	0.573990i
$249$	−426.067			−1.71111
$250$	7.50446	−	21.0638i	0.0300178	−	0.0842551i
$251$	−44.7337			−0.178222			−0.0891110	−	0.996022i	$-0.528403\pi$
$251$	−44.7337			−0.178222			−0.0891110	+	0.996022i	$0.528403\pi$
$252$	3.65123	−	4.47378i	0.0144890	−	0.0177531i
$253$		−	49.5479i		−	0.195841i
$254$	4.44168	−	12.4671i	0.0174869	−	0.0490829i
$255$		−	136.911i		−	0.536907i
$256$	−235.434	+	100.533i	−0.919664	+	0.392707i
$257$	237.117			0.922635			0.461318	−	0.887235i	$-0.347377\pi$
$257$	237.117			0.922635			0.461318	+	0.887235i	$0.347377\pi$
$258$	240.300	+	85.6125i	0.931396	+	0.331831i
$259$	147.745			0.570445
$260$	79.3789	+	64.7842i	0.305303	+	0.249170i
$261$			8.75379i			0.0335394i
$262$	−81.8102	−	29.1468i	−0.312253	−	0.111247i
$263$		−	250.284i		−	0.951649i	−0.879540	−	0.475824i	$-0.842150\pi$
$263$		−	250.284i		−	0.951649i	0.879540	−	0.475824i	$-0.157850\pi$
$264$	44.9076	+	74.2357i	0.170105	+	0.281196i
$265$	6.21359			0.0234475
$266$	60.5595	−	169.980i	0.227667	−	0.639024i
$267$	186.991			0.700341
$268$	−180.937	−	147.670i	−0.675139	−	0.551007i
$269$			168.319i			0.625722i	0.949799	+	0.312861i	$0.101287\pi$
$269$			168.319i			0.625722i	−0.949799	+	0.312861i	$0.898713\pi$
$270$	−41.6577	+	116.926i	−0.154288	+	0.433060i
$271$			238.366i			0.879580i	0.898101	+	0.439790i	$0.144947\pi$
$271$			238.366i			0.879580i	−0.898101	+	0.439790i	$0.855053\pi$
$272$	−67.5266	−	330.089i	−0.248260	−	1.21356i
$273$	88.1247			0.322801
$274$	359.662	+	128.138i	1.31264	+	0.467657i
$275$	−18.6496			−0.0678167
$276$	−97.6882	+	119.695i	−0.353943	+	0.433679i
$277$			481.489i			1.73823i	0.494612	+	0.869114i	$0.335310\pi$
$277$			481.489i			1.73823i	−0.494612	+	0.869114i	$0.664690\pi$
$278$	93.6582	+	33.3679i	0.336900	+	0.120028i
$279$			18.7581i			0.0672334i
$280$	−24.4971	−	40.4956i	−0.0874897	−	0.144627i
$281$	−378.549			−1.34715			−0.673575	−	0.739119i	$-0.735242\pi$
$281$	−378.549			−1.34715			−0.673575	+	0.739119i	$0.735242\pi$
$282$	105.935	−	297.343i	0.375657	−	1.05441i
$283$	−304.185			−1.07486			−0.537429	−	0.843309i	$-0.680604\pi$
$283$	−304.185			−1.07486			−0.537429	+	0.843309i	$0.680604\pi$
$284$	155.996	−	191.139i	0.549283	−	0.673026i
$285$			221.714i			0.777945i
$286$	28.6795	−	80.4987i	0.100278	−	0.281464i
$287$			160.024i			0.557575i
$288$	−2.44459	+	17.2888i	−0.00848816	+	0.0600307i
$289$	154.433			0.534370
$290$	67.5847	+	24.0786i	0.233051	+	0.0830297i
$291$	−96.0052			−0.329915
$292$	158.030	+	128.974i	0.541198	+	0.441693i
$293$			262.660i			0.896449i	0.893921	+	0.448224i	$0.147943\pi$
$293$			262.660i			0.896449i	−0.893921	+	0.448224i	$0.852057\pi$
$294$	−38.3460	−	13.6616i	−0.130428	−	0.0464681i
$295$		−	105.984i		−	0.359266i
$296$	−382.242	+	231.231i	−1.29136	+	0.781185i
$297$	103.525			0.348569
$298$	−141.194	+	396.308i	−0.473805	+	1.32989i
$299$	152.172			0.508936
$300$	45.0528	+	36.7694i	0.150176	+	0.122565i
$301$			116.060i			0.385581i
$302$	−167.507	+	470.166i	−0.554661	+	1.55684i
$303$			186.046i			0.614012i
$304$	109.353	+	534.547i	0.359713	+	1.75838i
$305$	103.259			0.338554
$306$	−21.6476	−	7.71246i	−0.0707438	−	0.0252041i
$307$	80.8679			0.263413			0.131707	−	0.991289i	$-0.457954\pi$
$307$	80.8679			0.263413			0.131707	+	0.991289i	$0.457954\pi$
$308$	−24.9588	+	30.5816i	−0.0810351	+	0.0992908i
$309$		−	501.978i		−	1.62453i
$310$	144.824	+	51.5970i	0.467175	+	0.166442i
$311$			112.701i			0.362384i	0.983448	+	0.181192i	$0.0579956\pi$
$311$			112.701i			0.362384i	−0.983448	+	0.181192i	$0.942004\pi$
$312$	−227.993	+	137.921i	−0.730748	+	0.442054i
$313$	−9.04215			−0.0288887			−0.0144443	−	0.999896i	$-0.504598\pi$
$313$	−9.04215			−0.0288887			−0.0144443	+	0.999896i	$0.504598\pi$
$314$	−192.503	+	540.325i	−0.613067	+	1.72078i
$315$	−3.22811			−0.0102480
$316$	−113.352	+	138.887i	−0.358707	+	0.439517i
$317$		−	94.9343i		−	0.299477i	−0.988726	−	0.149739i	$-0.952157\pi$
$317$		−	94.9343i		−	0.299477i	0.988726	−	0.149739i	$-0.0478432\pi$
$318$	−5.42328	+	15.2223i	−0.0170544	+	0.0478687i
$319$		−	59.8385i		−	0.187582i
$320$	126.756	+	66.4293i	0.396113	+	0.207591i
$321$	80.3548			0.250326
$322$	−66.2150	−	23.5906i	−0.205637	−	0.0732628i
$323$	−718.096			−2.22321
$324$	−234.872	−	191.688i	−0.724914	−	0.591631i
$325$		−	57.2768i		−	0.176236i
$326$	−575.936	−	205.190i	−1.76667	−	0.629418i
$327$			117.912i			0.360586i
$328$	−250.448	−	414.009i	−0.763560	−	1.26222i
$329$	143.610			0.436505
$330$	16.2775	−	45.6884i	0.0493259	−	0.138450i
$331$	−41.9978			−0.126882			−0.0634408	−	0.997986i	$-0.520207\pi$
$331$	−41.9978			−0.126882			−0.0634408	+	0.997986i	$0.520207\pi$
$332$	454.098	+	370.607i	1.36776	+	1.11629i
$333$			30.4705i			0.0915029i
$334$	88.9055	−	249.543i	0.266184	−	0.747135i
$335$			130.557i			0.389723i
$336$	120.589	−	24.6689i	0.358895	−	0.0734194i
$337$	−86.3522			−0.256238			−0.128119	−	0.991759i	$-0.540894\pi$
$337$	−86.3522			−0.256238			−0.128119	+	0.991759i	$0.540894\pi$
$338$	−71.1681	−	25.3553i	−0.210556	−	0.0750156i
$339$	−325.603			−0.960482
$340$	−119.090	+	145.919i	−0.350264	+	0.429172i
$341$		−	128.225i		−	0.376028i
$342$	35.0562	+	12.4896i	0.102503	+	0.0365192i
$343$		−	18.5203i		−	0.0539949i
$344$	−181.641	−	300.266i	−0.528026	−	0.872866i
$345$	86.3677			0.250341
$346$	211.420	−	593.421i	0.611040	−	1.71509i
$347$	−96.7644			−0.278860			−0.139430	−	0.990232i	$-0.544527\pi$
$347$	−96.7644			−0.278860			−0.139430	+	0.990232i	$0.544527\pi$
$348$	−117.977	+	144.555i	−0.339015	+	0.415388i
$349$		−	201.576i		−	0.577581i	−0.957392	−	0.288791i	$-0.906747\pi$
$349$		−	201.576i		−	0.577581i	0.957392	−	0.288791i	$-0.0932532\pi$
$350$	−8.87940	+	24.9230i	−0.0253697	+	0.0712086i
$351$			317.946i			0.905830i
$352$	16.7106	−	118.182i	0.0474732	−	0.335744i
$353$	346.313			0.981058			0.490529	−	0.871425i	$-0.336804\pi$
$353$	346.313			0.981058			0.490529	+	0.871425i	$0.336804\pi$
$354$	259.642	+	92.5035i	0.733452	+	0.261309i
$355$	−137.919			−0.388504
$356$	−199.293	−	162.651i	−0.559812	−	0.456884i
$357$			161.996i			0.453769i
$358$	86.2529	+	30.7296i	0.240930	+	0.0858369i
$359$			468.773i			1.30577i	0.757455	+	0.652887i	$0.226443\pi$
$359$			468.773i			1.30577i	−0.757455	+	0.652887i	$0.773557\pi$
$360$	8.35166	−	5.05220i	0.0231991	−	0.0140339i
$361$	801.886			2.22129
$362$	129.711	−	364.076i	0.358317	−	1.00574i
$363$	311.372			0.857775
$364$	−93.9224	−	76.6537i	−0.258028	−	0.210587i
$365$		−	114.028i		−	0.312406i
$366$	−90.1255	+	252.967i	−0.246244	+	0.691167i
$367$		−	443.307i		−	1.20792i	−0.797015	−	0.603960i	$-0.793589\pi$
$367$		−	443.307i		−	1.20792i	0.797015	−	0.603960i	$-0.206411\pi$
$368$	208.230	−	42.5978i	0.565843	−	0.115755i
$369$	−33.0028			−0.0894384
$370$	235.251	+	83.8136i	0.635813	+	0.226523i
$371$	−7.35202			−0.0198168
$372$	−252.808	+	309.761i	−0.679592	+	0.832691i
$373$		−	522.058i		−	1.39962i	−0.714329	−	0.699810i	$-0.753268\pi$
$373$		−	522.058i		−	1.39962i	0.714329	−	0.699810i	$-0.246732\pi$
$374$	147.977	+	52.7203i	0.395661	+	0.140963i
$375$		−	32.5084i		−	0.0866890i
$376$	−371.543	+	224.759i	−0.988147	+	0.597763i
$377$	183.777			0.487471
$378$	49.2900	−	138.349i	0.130397	−	0.366003i
$379$	−677.341			−1.78718			−0.893590	−	0.448885i	$-0.851821\pi$
$379$	−677.341			−1.78718			−0.893590	+	0.448885i	$0.851821\pi$
$380$	192.854	−	236.301i	0.507512	−	0.621844i
$381$		−	19.2408i		−	0.0505007i
$382$	158.985	−	446.244i	0.416191	−	1.16818i
$383$		−	395.089i		−	1.03156i	−0.856720	−	0.515782i	$-0.827501\pi$
$383$		−	395.089i		−	1.03156i	0.856720	−	0.515782i	$-0.172499\pi$
$384$	−273.375	+	252.552i	−0.711913	+	0.657686i
$385$	22.0665			0.0573155
$386$	−319.543	−	113.844i	−0.827830	−	0.294934i
$387$	−23.9357			−0.0618495
$388$	102.321	+	83.5085i	0.263715	+	0.215228i
$389$		−	47.9128i		−	0.123169i	−0.998102	−	0.0615845i	$-0.980385\pi$
$389$		−	47.9128i		−	0.123169i	0.998102	−	0.0615845i	$-0.0196154\pi$
$390$	140.318	+	49.9917i	0.359791	+	0.128184i
$391$			279.731i			0.715424i
$392$	28.9854	+	47.9150i	0.0739423	+	0.122232i
$393$	−126.260			−0.321273
$394$	−67.9607	+	190.754i	−0.172489	+	0.484148i
$395$	100.216			0.253711
$396$	−6.30703	−	5.14742i	−0.0159269	−	0.0129985i
$397$		−	212.853i		−	0.536155i	−0.963397	−	0.268077i	$-0.913612\pi$
$397$		−	212.853i		−	0.536155i	0.963397	−	0.268077i	$-0.0863883\pi$
$398$	89.6210	−	251.551i	0.225178	−	0.632038i
$399$		−	262.336i		−	0.657484i
$400$	−16.0336	−	78.3768i	−0.0400840	−	0.195942i
$401$	−154.562			−0.385441			−0.192720	−	0.981254i	$-0.561731\pi$
$401$	−154.562			−0.385441			−0.192720	+	0.981254i	$0.561731\pi$
$402$	−319.844	−	113.952i	−0.795631	−	0.283462i
$403$	393.807			0.977188
$404$	161.829	−	198.285i	0.400566	−	0.490806i
$405$			169.475i			0.418456i
$406$	−79.9673	−	28.4902i	−0.196964	−	0.0701729i
$407$		−	208.288i		−	0.511764i
$408$	−253.533	−	419.110i	−0.621405	−	1.02723i
$409$	293.278			0.717062			0.358531	−	0.933518i	$-0.383278\pi$
$409$	293.278			0.717062			0.358531	+	0.933518i	$0.383278\pi$
$410$	−90.7791	+	254.802i	−0.221412	+	0.621468i
$411$	555.078			1.35055
$412$	−436.637	+	535.003i	−1.05980	+	1.29855i
$413$			125.401i			0.303636i
$414$	4.86525	−	13.6559i	0.0117518	−	0.0329854i
$415$		−	327.660i		−	0.789541i
$416$	362.961	+	51.3216i	0.872502	+	0.123369i
$417$	144.545			0.346632
$418$	−239.634	−	85.3753i	−0.573288	−	0.204247i
$419$	143.577			0.342665			0.171333	−	0.985213i	$-0.445193\pi$
$419$	143.577			0.342665			0.171333	+	0.985213i	$0.445193\pi$
$420$	−53.3072	−	43.5061i	−0.126922	−	0.103586i
$421$		−	670.441i		−	1.59250i	−0.604969	−	0.796249i	$-0.706815\pi$
$421$		−	670.441i		−	1.59250i	0.604969	−	0.796249i	$-0.293185\pi$
$422$	−190.347	−	67.8154i	−0.451059	−	0.160700i
$423$			29.6176i			0.0700180i
$424$	19.0209	−	11.5064i	0.0448606	−	0.0271377i
$425$	105.289			0.247739
$426$	120.377	−	337.878i	0.282575	−	0.793142i
$427$	−122.178			−0.286130
$428$	−85.6413	−	69.8952i	−0.200096	−	0.163307i
$429$		−	124.236i		−	0.289594i
$430$	−65.8388	+	184.799i	−0.153114	+	0.429764i
$431$			166.175i			0.385557i	0.981242	+	0.192779i	$0.0617499\pi$
$431$			166.175i			0.385557i	−0.981242	+	0.192779i	$0.938250\pi$
$432$	89.0034	+	435.074i	0.206026	+	1.00712i
$433$	526.096			1.21500			0.607502	−	0.794318i	$-0.292172\pi$
$433$	526.096			1.21500			0.607502	+	0.794318i	$0.292172\pi$
$434$	−171.358	−	61.0504i	−0.394835	−	0.140669i
$435$	104.305			0.239783
$436$	102.563	−	125.669i	0.235237	−	0.288232i
$437$		−	452.996i		−	1.03660i
$438$	279.350	+	99.5251i	0.637786	+	0.227226i
$439$		−	364.132i		−	0.829458i	−0.909945	−	0.414729i	$-0.863876\pi$
$439$		−	364.132i		−	0.829458i	0.909945	−	0.414729i	$-0.136124\pi$
$440$	−57.0897	+	34.5354i	−0.129749	+	0.0784896i
$441$	3.81955			0.00866112
$442$	−161.915	+	454.468i	−0.366323	+	1.02821i
$443$	−165.964			−0.374637			−0.187319	−	0.982299i	$-0.559980\pi$
$443$	−165.964			−0.374637			−0.187319	+	0.982299i	$0.559980\pi$
$444$	−410.659	+	503.172i	−0.924907	+	1.13327i
$445$			143.802i			0.323151i
$446$	−136.016	+	381.775i	−0.304969	+	0.855997i
$447$			611.633i			1.36831i
$448$	−149.980	−	78.6002i	−0.334777	−	0.175447i
$449$	125.174			0.278785			0.139392	−	0.990237i	$-0.455485\pi$
$449$	125.174			0.278785			0.139392	+	0.990237i	$0.455485\pi$
$450$	−5.14003	−	1.83126i	−0.0114223	−	0.00406946i
$451$	225.598			0.500217
$452$	347.025	+	283.221i	0.767754	+	0.626594i
$453$			725.621i			1.60181i
$454$	−503.293	−	179.310i	−1.10857	−	0.394955i
$455$			67.7708i			0.148947i
$456$	410.572	+	678.707i	0.900378	+	1.48839i
$457$	507.504			1.11051			0.555256	−	0.831680i	$-0.312620\pi$
$457$	507.504			1.11051			0.555256	+	0.831680i	$0.312620\pi$
$458$	−138.485	+	388.704i	−0.302368	+	0.848698i
$459$	−584.466			−1.27335
$460$	−92.0498	−	75.1254i	−0.200108	−	0.163316i
$461$		−	631.319i		−	1.36946i	−0.728799	−	0.684728i	$-0.759921\pi$
$461$		−	631.319i		−	1.36946i	0.728799	−	0.684728i	$-0.240079\pi$
$462$	−19.2598	+	54.0592i	−0.0416880	+	0.117011i
$463$		−	314.239i		−	0.678702i	−0.940660	−	0.339351i	$-0.889793\pi$
$463$		−	314.239i		−	0.678702i	0.940660	−	0.339351i	$-0.110207\pi$
$464$	251.478	−	51.4450i	0.541978	−	0.110873i
$465$	223.512			0.480670
$466$	398.984	+	142.147i	0.856189	+	0.305037i
$467$	−246.565			−0.527977			−0.263988	−	0.964526i	$-0.585038\pi$
$467$	−246.565			−0.527977			−0.263988	+	0.964526i	$0.585038\pi$
$468$	15.8088	−	19.3702i	0.0337795	−	0.0413893i
$469$		−	154.477i		−	0.329376i
$470$	228.666	+	81.4677i	0.486524	+	0.173336i
$471$			833.899i			1.77049i
$472$	−196.261	−	324.435i	−0.415808	−	0.687361i
$473$	163.618			0.345916
$474$	−87.4694	+	245.512i	−0.184535	+	0.517958i
$475$	−170.506			−0.358959
$476$	140.909	−	172.653i	0.296027	−	0.362717i
$477$		−	1.51625i		−	0.00317873i
$478$	−194.166	+	544.992i	−0.406205	+	1.14015i
$479$		−	353.677i		−	0.738365i	−0.929357	−	0.369182i	$-0.879638\pi$
$479$		−	353.677i		−	0.738365i	0.929357	−	0.369182i	$-0.120362\pi$
$480$	206.004	+	29.1284i	0.429176	+	0.0606842i
$481$	639.695			1.32993
$482$	−7.82999	−	2.78961i	−0.0162448	−	0.00578758i
$483$	−102.192			−0.211577
$484$	−331.857	−	270.842i	−0.685655	−	0.559590i
$485$		−	73.8311i		−	0.152229i
$486$	55.4342	+	19.7497i	0.114062	+	0.0406373i
$487$			80.5255i			0.165350i	0.996577	+	0.0826751i	$0.0263464\pi$
$487$			80.5255i			0.165350i	−0.996577	+	0.0826751i	$0.973654\pi$
$488$	316.094	−	191.216i	0.647734	−	0.391836i
$489$	−888.858			−1.81771
$490$	10.5062	−	29.4893i	0.0214413	−	0.0601822i
$491$	−527.421			−1.07418			−0.537089	−	0.843526i	$-0.680476\pi$
$491$	−527.421			−1.07418			−0.537089	+	0.843526i	$0.680476\pi$
$492$	−544.989	−	444.787i	−1.10770	−	0.904039i
$493$			337.828i			0.685250i
$494$	262.205	−	735.967i	0.530780	−	1.48981i
$495$			4.55091i			0.00919376i
$496$	538.881	−	110.239i	1.08645	−	0.222256i
$497$	163.188			0.328346
$498$	802.711	+	285.984i	1.61187	+	0.574266i
$499$	421.653			0.844996			0.422498	−	0.906364i	$-0.361153\pi$
$499$	421.653			0.844996			0.422498	+	0.906364i	$0.361153\pi$
$500$	−28.2768	+	34.6471i	−0.0565537	+	0.0692942i
$501$		−	385.127i		−	0.768717i
$502$	84.2784	+	30.0261i	0.167885	+	0.0598130i
$503$		−	370.294i		−	0.736171i	−0.929792	−	0.368086i	$-0.880013\pi$
$503$		−	370.294i		−	0.736171i	0.929792	−	0.368086i	$-0.119987\pi$
$504$	−9.88182	+	5.97784i	−0.0196068	+	0.0118608i
$505$	−143.075			−0.283317
$506$	−33.2575	+	93.3483i	−0.0657263	+	0.184483i
$507$	−109.836			−0.216639
$508$	−16.7363	+	20.5066i	−0.0329454	+	0.0403674i
$509$			612.684i			1.20370i	0.798609	+	0.601850i	$0.205570\pi$
$509$			612.684i			1.20370i	−0.798609	+	0.601850i	$0.794430\pi$
$510$	−91.8975	+	257.941i	−0.180191	+	0.505767i
$511$			134.920i			0.264032i
$512$	511.038	−	31.3765i	0.998120	−	0.0612822i
$513$	946.486			1.84500
$514$	−446.729	−	159.158i	−0.869123	−	0.309645i
$515$	386.038			0.749588
$516$	−395.261	−	322.588i	−0.766010	−	0.625171i
$517$		−	202.458i		−	0.391602i
$518$	−278.353	−	99.1696i	−0.537360	−	0.191447i
$519$		−	915.844i		−	1.76463i
$520$	−106.066	−	175.334i	−0.203972	−	0.337181i
$521$	−1026.96			−1.97114			−0.985568	−	0.169280i	$-0.945856\pi$
$521$	−1026.96			−1.97114			−0.985568	+	0.169280i	$0.945856\pi$
$522$	5.87572	−	16.4922i	0.0112562	−	0.0315942i
$523$	−622.716			−1.19066			−0.595331	−	0.803481i	$-0.702979\pi$
$523$	−622.716			−1.19066			−0.595331	+	0.803481i	$0.702979\pi$
$524$	134.567	+	109.825i	0.256807	+	0.209590i
$525$			38.4644i			0.0732656i
$526$	−167.995	+	471.535i	−0.319383	+	0.896454i
$527$			723.917i			1.37366i
$528$	−34.7776	−	170.003i	−0.0658667	−	0.321976i
$529$	352.538			0.666423
$530$	−11.7064	−	4.17068i	−0.0220876	−	0.00786921i
$531$	−25.8623			−0.0487050
$532$	−228.188	+	279.595i	−0.428926	+	0.525554i
$533$			692.858i			1.29992i
$534$	−352.291	−	125.512i	−0.659722	−	0.235041i
$535$			61.7955i			0.115506i
$536$	241.767	+	399.659i	0.451058	+	0.745632i
$537$	133.117			0.247890
$538$	112.979	−	317.114i	0.209998	−	0.589431i
$539$	−26.1094			−0.0484405
$540$	156.966	−	192.328i	0.290678	−	0.356163i
$541$		−	554.563i		−	1.02507i	−0.858666	−	0.512535i	$-0.828707\pi$
$541$		−	554.563i		−	1.02507i	0.858666	−	0.512535i	$-0.171293\pi$
$542$	159.996	−	449.083i	0.295196	−	0.828566i
$543$		−	561.890i		−	1.03479i
$544$	−94.3421	+	667.214i	−0.173423	+	1.22650i
$545$	−90.6779			−0.166381
$546$	−166.027	−	59.1510i	−0.304079	−	0.108335i
$547$	316.468			0.578552			0.289276	−	0.957246i	$-0.406586\pi$
$547$	316.468			0.578552			0.289276	+	0.957246i	$0.406586\pi$
$548$	−591.596	−	482.825i	−1.07955	−	0.881067i
$549$		−	25.1975i		−	0.0458971i
$550$	35.1359	+	12.5180i	0.0638834	+	0.0227599i
$551$		−	547.080i		−	0.992885i
$552$	264.387	−	159.936i	0.478961	−	0.289740i
$553$	−118.577			−0.214425
$554$	323.185	−	907.127i	0.583366	−	1.63741i
$555$	363.070			0.654180
$556$	−154.055	−	125.730i	−0.277077	−	0.226134i
$557$			764.633i			1.37277i	0.727238	+	0.686385i	$0.240804\pi$
$557$			764.633i			1.37277i	−0.727238	+	0.686385i	$0.759196\pi$
$558$	12.5908	−	35.3403i	0.0225642	−	0.0633339i
$559$			502.506i			0.898937i
$560$	18.9712	+	92.7367i	0.0338772	+	0.165601i
$561$	228.377			0.407090
$562$	713.187	+	254.089i	1.26902	+	0.452116i
$563$	−16.0309			−0.0284741			−0.0142370	−	0.999899i	$-0.504532\pi$
$563$	−16.0309			−0.0284741			−0.0142370	+	0.999899i	$0.504532\pi$
$564$	−399.165	+	489.089i	−0.707739	+	0.867179i
$565$		−	250.400i		−	0.443185i
$566$	573.084	+	204.175i	1.01252	+	0.360733i
$567$		−	200.525i		−	0.353660i
$568$	−422.194	+	255.399i	−0.743300	+	0.449647i
$569$	−1025.19			−1.80175			−0.900874	−	0.434080i	$-0.857073\pi$
$569$	−1025.19			−1.80175			−0.900874	+	0.434080i	$0.857073\pi$
$570$	148.819	−	417.710i	0.261086	−	0.732825i
$571$	816.632			1.43018			0.715090	−	0.699033i	$-0.246386\pi$
$571$	816.632			1.43018			0.715090	+	0.699033i	$0.246386\pi$
$572$	−108.065	+	132.409i	−0.188924	+	0.231485i
$573$		−	688.702i		−	1.20192i
$574$	107.411	−	301.486i	0.187128	−	0.525236i
$575$			66.4196i			0.115512i
$576$	16.2102	−	30.9313i	0.0281427	−	0.0537003i
$577$	291.896			0.505885			0.252943	−	0.967481i	$-0.418602\pi$
$577$	291.896			0.505885			0.252943	+	0.967481i	$0.418602\pi$
$578$	−290.952	−	103.658i	−0.503377	−	0.179340i
$579$	−493.159			−0.851743
$580$	−111.168	−	90.7283i	−0.191668	−	0.156428i
$581$			387.692i			0.667284i
$582$	180.874	+	64.4406i	0.310780	+	0.110723i
$583$			10.3647i			0.0177782i
$584$	−211.159	−	349.061i	−0.361573	−	0.597707i
$585$	−13.9768			−0.0238920
$586$	176.302	−	494.851i	0.300857	−	0.844456i
$587$	690.362			1.17609			0.588043	−	0.808830i	$-0.299899\pi$
$587$	690.362			1.17609			0.588043	+	0.808830i	$0.299899\pi$
$588$	63.0739	+	51.4771i	0.107269	+	0.0875461i
$589$		−	1172.31i		−	1.99034i
$590$	−71.1382	+	199.673i	−0.120573	+	0.338429i
$591$			294.397i			0.498133i
$592$	875.351	−	179.071i	1.47863	−	0.302485i
$593$	−697.130			−1.17560			−0.587799	−	0.809007i	$-0.700005\pi$
$593$	−697.130			−1.17560			−0.587799	+	0.809007i	$0.700005\pi$
$594$	−195.041	−	69.4879i	−0.328352	−	0.116983i
$595$	−124.580			−0.209378
$596$	532.019	−	651.872i	0.892649	−	1.09375i
$597$		−	388.226i		−	0.650296i
$598$	−286.692	−	102.141i	−0.479418	−	0.170804i
$599$			596.289i			0.995475i	0.867328	+	0.497737i	$0.165836\pi$
$599$			596.289i			0.995475i	−0.867328	+	0.497737i	$0.834164\pi$
$600$	−60.1992	−	99.5139i	−0.100332	−	0.165856i
$601$	−704.967			−1.17299			−0.586495	−	0.809953i	$-0.699493\pi$
$601$	−704.967			−1.17299			−0.586495	+	0.809953i	$0.699493\pi$
$602$	77.9016	−	218.657i	0.129405	−	0.363217i
$603$	31.8589			0.0528340
$604$	631.169	−	773.359i	1.04498	−	1.28040i
$605$			239.455i			0.395794i
$606$	124.877	−	350.510i	0.206068	−	0.578400i
$607$		−	234.801i		−	0.386823i	−0.981118	−	0.193411i	$-0.938045\pi$
$607$		−	234.801i		−	0.386823i	0.981118	−	0.193411i	$-0.0619552\pi$
$608$	152.778	−	1080.49i	0.251279	−	1.77712i
$609$	−123.416			−0.202653
$610$	−194.540	−	69.3094i	−0.318918	−	0.113622i
$611$	621.791			1.01766
$612$	35.6074	+	29.0606i	0.0581820	+	0.0474846i
$613$			791.727i			1.29156i	0.763523	+	0.645781i	$0.223468\pi$
$613$			791.727i			1.29156i	−0.763523	+	0.645781i	$0.776532\pi$
$614$	−152.355	−	54.2801i	−0.248136	−	0.0884040i
$615$			393.243i			0.639420i
$616$	67.5494	−	40.8629i	0.109658	−	0.0663359i
$617$	−1079.35			−1.74935			−0.874675	−	0.484710i	$-0.838925\pi$
$617$	−1079.35			−1.74935			−0.874675	+	0.484710i	$0.838925\pi$
$618$	−336.938	+	945.728i	−0.545206	+	1.53030i
$619$	−744.432			−1.20264			−0.601318	−	0.799010i	$-0.705358\pi$
$619$	−744.432			−1.20264			−0.601318	+	0.799010i	$0.705358\pi$
$620$	−238.216	−	194.418i	−0.384220	−	0.313577i
$621$		−	368.699i		−	0.593718i
$622$	75.6474	−	212.330i	0.121620	−	0.341366i
$623$		−	170.149i		−	0.273112i
$624$	522.115	−	106.809i	0.836723	−	0.171169i
$625$	25.0000			0.0400000
$626$	17.0354	+	6.06927i	0.0272132	+	0.00969532i
$627$	−369.835			−0.589848
$628$	725.353	−	888.761i	1.15502	−	1.41522i
$629$			1175.92i			1.86951i
$630$	6.08177	+	2.16677i	0.00965360	+	0.00343932i
$631$			560.358i			0.888047i	0.896015	+	0.444023i	$0.146449\pi$
$631$			560.358i			0.888047i	−0.896015	+	0.444023i	$0.853551\pi$
$632$	306.779	−	185.581i	0.485409	−	0.293640i
$633$	−293.768			−0.464088
$634$	−63.7218	+	178.856i	−0.100508	+	0.282108i
$635$	14.7968			0.0233020
$636$	20.4350	−	25.0386i	0.0321304	−	0.0393688i
$637$		−	80.1875i		−	0.125883i
$638$	−40.1648	+	112.736i	−0.0629542	+	0.176702i
$639$			33.6553i			0.0526687i
$640$	−194.220	−	210.234i	−0.303469	−	0.328491i
$641$	−376.327			−0.587094			−0.293547	−	0.955945i	$-0.594836\pi$
$641$	−376.327			−0.587094			−0.293547	+	0.955945i	$0.594836\pi$
$642$	−151.389	−	53.9357i	−0.235808	−	0.0840120i
$643$	−619.457			−0.963385			−0.481693	−	0.876340i	$-0.659978\pi$
$643$	−619.457			−0.963385			−0.481693	+	0.876340i	$0.659978\pi$
$644$	108.915	+	88.8896i	0.169122	+	0.138027i
$645$			285.205i			0.442179i
$646$	1352.89	+	482.000i	2.09426	+	0.746130i
$647$		−	1213.64i		−	1.87579i	−0.346919	−	0.937895i	$-0.612772\pi$
$647$		−	1213.64i		−	1.87579i	0.346919	−	0.937895i	$-0.387228\pi$
$648$	313.835	+	518.792i	0.484313	+	0.800605i
$649$	176.788			0.272401
$650$	−38.4453	+	107.910i	−0.0591466	+	0.166015i
$651$	−264.462			−0.406240
$652$	947.336	+	773.158i	1.45297	+	1.18583i
$653$			902.189i			1.38161i	0.723043	+	0.690803i	$0.242743\pi$
$653$			902.189i			1.38161i	−0.723043	+	0.690803i	$0.757257\pi$
$654$	79.1446	−	222.146i	0.121016	−	0.339672i
$655$		−	97.0982i		−	0.148242i
$656$	193.953	+	948.099i	0.295660	+	1.44527i
$657$	−27.8255			−0.0423523
$658$	−270.562	−	96.3939i	−0.411188	−	0.146495i
$659$	971.542			1.47427			0.737134	−	0.675747i	$-0.236179\pi$
$659$	971.542			1.47427			0.737134	+	0.675747i	$0.236179\pi$
$660$	−61.3338	+	75.1512i	−0.0929301	+	0.113865i
$661$			483.212i			0.731032i	0.930805	+	0.365516i	$0.119108\pi$
$661$			483.212i			0.731032i	−0.930805	+	0.365516i	$0.880892\pi$
$662$	79.1240	+	28.1897i	0.119523	+	0.0425827i
$663$			701.395i			1.05791i
$664$	−606.763	−	1003.02i	−0.913799	−	1.51058i
$665$	201.745			0.303376
$666$	20.4524	−	57.4064i	0.0307093	−	0.0861959i
$667$	−213.112			−0.319508
$668$	−334.996	+	410.465i	−0.501492	+	0.614468i
$669$			589.204i			0.880723i
$670$	87.6326	−	245.970i	0.130795	−	0.367120i
$671$			172.243i			0.256696i
$672$	−243.748	−	34.4652i	−0.362720	−	0.0512875i
$673$	−289.578			−0.430279			−0.215140	−	0.976583i	$-0.569021\pi$
$673$	−289.578			−0.430279			−0.215140	+	0.976583i	$0.569021\pi$
$674$	162.688	+	57.9613i	0.241377	+	0.0859960i
$675$	−138.776			−0.205595
$676$	117.062	+	95.5388i	0.173168	+	0.141330i
$677$			559.941i			0.827091i	0.910483	+	0.413546i	$0.135710\pi$
$677$			559.941i			0.827091i	−0.910483	+	0.413546i	$0.864290\pi$
$678$	613.438	+	218.551i	0.904775	+	0.322347i
$679$			87.3582i			0.128657i
$680$	322.309	−	194.975i	0.473984	−	0.286729i
$681$	−776.746			−1.14060
$682$	−86.0674	+	241.577i	−0.126199	+	0.354218i
$683$	249.736			0.365646			0.182823	−	0.983146i	$-0.441476\pi$
$683$	249.736			0.365646			0.182823	+	0.983146i	$0.441476\pi$
$684$	−57.6627	−	47.0608i	−0.0843021	−	0.0688023i
$685$			426.873i			0.623172i
$686$	−12.4312	+	34.8922i	−0.0181212	+	0.0508633i
$687$			599.898i			0.873214i
$688$	140.667	+	687.623i	0.204458	+	0.999451i
$689$	−31.8322			−0.0462005
$690$	−162.717	−	57.9717i	−0.235822	−	0.0840169i
$691$	542.895			0.785666			0.392833	−	0.919610i	$-0.371495\pi$
$691$	542.895			0.785666			0.392833	+	0.919610i	$0.371495\pi$
$692$	−796.631	+	976.097i	−1.15120	+	1.41054i
$693$		−	5.38471i		−	0.00777015i
$694$	182.304	+	64.9502i	0.262686	+	0.0935881i
$695$			111.160i			0.159943i
$696$	319.297	−	193.154i	0.458761	−	0.277520i
$697$	−1273.65			−1.82733
$698$	−135.302	+	379.769i	−0.193842	+	0.544082i
$699$	615.764			0.880921
$700$	33.4576	−	40.9950i	0.0477966	−	0.0585642i
$701$		−	756.696i		−	1.07945i	−0.841841	−	0.539726i	$-0.818528\pi$
$701$		−	756.696i		−	1.07945i	0.841841	−	0.539726i	$-0.181472\pi$
$702$	213.412	−	599.012i	0.304006	−	0.853293i
$703$		−	1904.29i		−	2.70881i
$704$	−110.809	+	211.438i	−0.157399	+	0.300338i
$705$	352.908			0.500578
$706$	−652.455	−	232.452i	−0.924157	−	0.329253i
$707$	169.289			0.239447
$708$	−427.076	−	348.554i	−0.603215	−	0.492307i
$709$		−	180.770i		−	0.254964i	−0.991841	−	0.127482i	$-0.959310\pi$
$709$		−	180.770i		−	0.254964i	0.991841	−	0.127482i	$-0.0406896\pi$
$710$	259.840	+	92.5739i	0.365971	+	0.130386i
$711$		−	24.4549i		−	0.0343951i
$712$	266.294	+	440.204i	0.374008	+	0.618264i
$713$	−456.668			−0.640489
$714$	108.735	−	305.200i	0.152289	−	0.427451i
$715$	95.5416			0.133625
$716$	−141.874	−	115.789i	−0.198149	−	0.161717i
$717$			841.103i			1.17309i
$718$	314.650	−	883.170i	0.438231	−	1.23004i
$719$			517.175i			0.719297i	0.933088	+	0.359649i	$0.117103\pi$
$719$			517.175i			0.719297i	−0.933088	+	0.359649i	$0.882897\pi$
$720$	−19.1257	+	3.91255i	−0.0265634	+	0.00543410i
$721$	−456.766			−0.633517
$722$	−1510.76	−	538.242i	−2.09246	−	0.745487i
$723$	−12.0842			−0.0167140
$724$	−488.750	+	598.856i	−0.675069	+	0.827149i
$725$			80.2143i			0.110640i
$726$	−586.626	−	208.999i	−0.808025	−	0.287878i
$727$		−	817.989i		−	1.12516i	−0.826744	−	0.562579i	$-0.809809\pi$
$727$		−	817.989i		−	1.12516i	0.826744	−	0.562579i	$-0.190191\pi$
$728$	125.498	+	207.458i	0.172388	+	0.284970i
$729$	767.676			1.05305
$730$	−76.5380	+	214.830i	−0.104847	+	0.294287i
$731$	−923.733			−1.26366
$732$	339.593	−	416.097i	0.463925	−	0.568438i
$733$			1076.44i			1.46854i	0.678859	+	0.734269i	$0.262475\pi$
$733$			1076.44i			1.46854i	−0.678859	+	0.734269i	$0.737525\pi$
$734$	−297.556	+	835.191i	−0.405390	+	1.13786i
$735$		−	45.5117i		−	0.0619207i
$736$	−420.899	−	59.5138i	−0.571873	−	0.0808612i
$737$	−217.779			−0.295493
$738$	62.1773	+	22.1521i	0.0842511	+	0.0300164i
$739$	402.196			0.544243			0.272122	−	0.962263i	$-0.412275\pi$
$739$	402.196			0.544243			0.272122	+	0.962263i	$0.412275\pi$
$740$	−386.956	−	315.810i	−0.522913	−	0.426770i
$741$		−	1135.84i		−	1.53285i
$742$	13.8512	+	4.93482i	0.0186674	+	0.00665070i
$743$			1118.95i			1.50598i	0.658030	+	0.752992i	$0.271390\pi$
$743$			1118.95i			1.50598i	−0.658030	+	0.752992i	$0.728610\pi$
$744$	684.209	−	413.901i	0.919635	−	0.556318i
$745$	−470.366			−0.631364
$746$	−350.416	+	983.559i	−0.469726	+	1.31844i
$747$	−79.9562			−0.107036
$748$	−243.402	−	198.650i	−0.325404	−	0.265575i
$749$		−	73.1174i		−	0.0976200i
$750$	−21.8202	+	61.2458i	−0.0290937	+	0.0816611i
$751$			1150.33i			1.53173i	0.643001	+	0.765865i	$0.277689\pi$
$751$			1150.33i			1.53173i	−0.643001	+	0.765865i	$0.722311\pi$
$752$	850.851	−	174.059i	1.13145	−	0.231462i
$753$	130.069			0.172735
$754$	−346.236	−	123.354i	−0.459198	−	0.163600i
$755$	−558.026			−0.739108
$756$	−185.725	+	227.565i	−0.245668	+	0.301012i
$757$			652.519i			0.861980i	0.902357	+	0.430990i	$0.141835\pi$
$757$			652.519i			0.861980i	−0.902357	+	0.430990i	$0.858165\pi$
$758$	1276.11	+	454.644i	1.68353	+	0.599795i
$759$			144.067i			0.189812i
$760$	−521.948	+	315.744i	−0.686774	+	0.415452i
$761$	−1017.69			−1.33731			−0.668653	−	0.743574i	$-0.733129\pi$
$761$	−1017.69			−1.33731			−0.668653	+	0.743574i	$0.733129\pi$
$762$	−12.9148	+	36.2497i	−0.0169485	+	0.0475717i
$763$	107.292			0.140618
$764$	−599.056	+	734.011i	−0.784104	+	0.960748i
$765$		−	25.6929i		−	0.0335855i
$766$	−265.192	+	744.349i	−0.346203	+	0.971735i
$767$			542.953i			0.707891i
$768$	684.556	−	292.313i	0.891349	−	0.380616i
$769$	−631.277			−0.820906			−0.410453	−	0.911882i	$-0.634629\pi$
$769$	−631.277			−0.820906			−0.410453	+	0.911882i	$0.634629\pi$
$770$	−41.5733	−	14.8115i	−0.0539913	−	0.0192357i
$771$	−689.451			−0.894229
$772$	525.604	+	428.966i	0.680835	+	0.555656i
$773$			408.165i			0.528028i	0.964519	+	0.264014i	$0.0850465\pi$
$773$			408.165i			0.528028i	−0.964519	+	0.264014i	$0.914954\pi$
$774$	45.0950	+	16.0661i	0.0582623	+	0.0207573i
$775$			171.888i			0.221791i
$776$	−136.721	−	226.010i	−0.176187	−	0.291250i
$777$	−429.590			−0.552883
$778$	−32.1600	+	90.2677i	−0.0413367	+	0.116025i
$779$	2062.55			2.64769
$780$	−230.805	−	188.369i	−0.295904	−	0.241499i
$781$		−	230.058i		−	0.294569i
$782$	187.761	−	527.013i	0.240103	−	0.673930i
$783$		−	445.274i		−	0.568677i
$784$	−22.4470	−	109.728i	−0.0286314	−	0.139959i
$785$	−641.296			−0.816937
$786$	237.874	+	84.7483i	0.302639	+	0.107822i
$787$	−632.596			−0.803806			−0.401903	−	0.915682i	$-0.631651\pi$
$787$	−632.596			−0.803806			−0.401903	+	0.915682i	$0.631651\pi$
$788$	256.076	−	313.765i	0.324970	−	0.398179i
$789$			727.734i			0.922350i
$790$	−188.807	−	67.2668i	−0.238996	−	0.0851479i
$791$			296.277i			0.374560i
$792$	8.42742	+	13.9312i	0.0106407	+	0.0175898i
$793$	−528.995			−0.667080
$794$	−142.871	+	401.016i	−0.179939	+	0.505058i
$795$	−18.0669			−0.0227256
$796$	−337.692	+	413.768i	−0.424236	+	0.519809i
$797$		−	242.744i		−	0.304572i	−0.988336	−	0.152286i	$-0.951337\pi$
$797$		−	242.744i		−	0.304572i	0.988336	−	0.152286i	$-0.0486635\pi$
$798$	−176.085	+	494.241i	−0.220658	+	0.619350i
$799$			1143.01i			1.43055i
$800$	−22.4007	+	158.424i	−0.0280009	+	0.198030i
$801$	35.0909			0.0438089
$802$	291.195	+	103.745i	0.363086	+	0.129358i
$803$	190.207			0.236871
$804$	526.099	+	429.370i	0.654352	+	0.534043i
$805$		−	78.5887i		−	0.0976257i
$806$	−741.933	−	264.331i	−0.920513	−	0.327954i
$807$		−	489.411i		−	0.606457i
$808$	−437.978	+	264.948i	−0.542053	+	0.327906i
$809$	287.478			0.355349			0.177675	−	0.984089i	$-0.443143\pi$
$809$	287.478			0.355349			0.177675	+	0.984089i	$0.443143\pi$
$810$	113.755	−	319.291i	0.140438	−	0.394186i
$811$	395.709			0.487928			0.243964	−	0.969784i	$-0.421552\pi$
$811$	395.709			0.487928			0.243964	+	0.969784i	$0.421552\pi$
$812$	131.535	+	107.351i	0.161989	+	0.132206i
$813$		−	693.083i		−	0.852500i
$814$	−139.807	+	392.415i	−0.171753	+	0.482082i
$815$		−	683.561i		−	0.838725i
$816$	196.343	+	959.780i	0.240616	+	1.17620i
$817$	1495.90			1.83096
$818$	−552.537	−	196.854i	−0.675473	−	0.240653i
$819$	16.5376			0.0201924
$820$	342.056	−	419.115i	0.417141	−	0.511115i
$821$		−	613.731i		−	0.747540i	−0.927521	−	0.373770i	$-0.878065\pi$
$821$		−	613.731i		−	0.747540i	0.927521	−	0.373770i	$-0.121935\pi$
$822$	−1045.77	−	372.579i	−1.27222	−	0.453259i
$823$		−	868.140i		−	1.05485i	−0.849602	−	0.527424i	$-0.823158\pi$
$823$		−	868.140i		−	1.05485i	0.849602	−	0.527424i	$-0.176842\pi$
$824$	1181.73	−	714.868i	1.43414	−	0.867558i
$825$	54.2262			0.0657287
$826$	84.1719	−	236.257i	0.101903	−	0.286025i
$827$	1327.86			1.60564			0.802819	−	0.596223i	$-0.203332\pi$
$827$	1327.86			1.60564			0.802819	+	0.596223i	$0.203332\pi$
$828$	−18.3323	+	22.4622i	−0.0221404	+	0.0271282i
$829$			1459.23i			1.76023i	0.474758	+	0.880116i	$0.342535\pi$
$829$			1459.23i			1.76023i	−0.474758	+	0.880116i	$0.657465\pi$
$830$	−219.931	+	617.311i	−0.264978	+	0.743749i
$831$		−	1400.00i		−	1.68471i
$832$	−649.371	−	340.316i	−0.780494	−	0.409034i
$833$	147.405			0.176957
$834$	−272.324	−	97.0217i	−0.326528	−	0.116333i
$835$	296.175			0.354701
$836$	394.166	+	321.695i	0.471491	+	0.384802i
$837$		−	954.159i		−	1.13997i
$838$	−270.499	−	96.3715i	−0.322791	−	0.115002i
$839$			718.578i			0.856469i	0.903668	+	0.428235i	$0.140864\pi$
$839$			718.578i			0.856469i	−0.903668	+	0.428235i	$0.859136\pi$
$840$	71.2287	+	117.746i	0.0847961	+	0.140174i
$841$	583.627			0.693967
$842$	−450.013	+	1263.11i	−0.534458	+	1.50013i
$843$	1100.68			1.30567
$844$	313.095	+	255.529i	0.370965	+	0.302759i
$845$		−	84.4673i		−	0.0999613i
$846$	19.8799	−	55.7997i	0.0234987	−	0.0659571i
$847$		−	283.327i		−	0.334507i
$848$	−43.5587	+	8.91084i	−0.0513664	+	0.0105081i
$849$	884.458			1.04176
$850$	−198.365	−	70.6722i	−0.233371	−	0.0831437i
$851$	−741.807			−0.871689
$852$	−453.581	+	555.764i	−0.532372	+	0.652305i
$853$		−	1327.41i		−	1.55616i	−0.628165	−	0.778080i	$-0.716194\pi$
$853$		−	1327.41i		−	1.55616i	0.628165	−	0.778080i	$-0.283806\pi$
$854$	230.183	+	82.0080i	0.269535	+	0.0960281i
$855$			41.6072i			0.0486633i
$856$	114.433	+	189.167i	0.133684	+	0.220989i
$857$	−743.575			−0.867649			−0.433824	−	0.900997i	$-0.642836\pi$
$857$	−743.575			−0.867649			−0.433824	+	0.900997i	$0.642836\pi$
$858$	−83.3897	+	234.061i	−0.0971907	+	0.272798i
$859$	1212.71			1.41177			0.705886	−	0.708325i	$-0.250549\pi$
$859$	1212.71			1.41177			0.705886	+	0.708325i	$0.250549\pi$
$860$	248.081	−	303.969i	0.288466	−	0.353452i
$861$		−	465.292i		−	0.540408i
$862$	111.540	−	313.074i	0.129397	−	0.363195i
$863$			866.196i			1.00370i	0.864954	+	0.501852i	$0.167348\pi$
$863$			866.196i			1.00370i	−0.864954	+	0.501852i	$0.832652\pi$
$864$	124.348	−	879.421i	0.143921	−	1.01785i
$865$	704.314			0.814236
$866$	−991.167	−	353.126i	−1.14453	−	0.407767i
$867$	−449.035			−0.517918
$868$	281.861	+	230.038i	0.324725	+	0.265021i
$869$			167.167i			0.192367i
$870$	−196.512	−	70.0118i	−0.225875	−	0.0804734i
$871$		−	668.843i		−	0.767903i
$872$	−277.581	+	167.918i	−0.318327	+	0.192567i
$873$	−18.0164			−0.0206374
$874$	−304.060	+	853.446i	−0.347895	+	0.976483i
$875$	−29.5804			−0.0338062
$876$	−459.494	−	375.011i	−0.524536	−	0.428095i
$877$		−	1068.53i		−	1.21839i	−0.793019	−	0.609197i	$-0.791492\pi$
$877$		−	1068.53i		−	1.21839i	0.793019	−	0.609197i	$-0.208508\pi$
$878$	−244.412	+	686.025i	−0.278374	+	0.781350i
$879$		−	763.718i		−	0.868849i
$880$	130.738	−	26.7451i	0.148566	−	0.0303922i
$881$	233.716			0.265285			0.132643	−	0.991164i	$-0.457654\pi$
$881$	233.716			0.265285			0.132643	+	0.991164i	$0.457654\pi$
$882$	−7.19604	−	2.56376i	−0.00815878	−	0.00290675i
$883$	−415.264			−0.470287			−0.235144	−	0.971961i	$-0.575556\pi$
$883$	−415.264			−0.470287			−0.235144	+	0.971961i	$0.575556\pi$
$884$	610.096	−	747.539i	0.690154	−	0.845632i
$885$			308.162i			0.348205i
$886$	312.677	+	111.399i	0.352909	+	0.125732i
$887$			408.232i			0.460239i	0.973162	+	0.230119i	$0.0739117\pi$
$887$			408.232i			0.460239i	−0.973162	+	0.230119i	$0.926088\pi$
$888$	1111.42	−	672.335i	1.25160	−	0.757134i
$889$	−17.5078			−0.0196938
$890$	96.5228	−	270.924i	0.108453	−	0.304409i
$891$	−282.696			−0.317279
$892$	512.509	−	627.967i	0.574562	−	0.703999i
$893$		−	1850.99i		−	2.07278i
$894$	410.540	−	1152.32i	0.459217	−	1.28895i
$895$			102.371i			0.114381i
$896$	229.805	+	248.752i	0.256479	+	0.277625i
$897$	−442.461			−0.493267
$898$	−235.829	−	84.0195i	−0.262616	−	0.0935629i
$899$	−551.514			−0.613475
$900$	8.45466	+	6.90018i	0.00939406	+	0.00766687i
$901$		−	58.5156i		−	0.0649452i
$902$	−425.027	−	151.426i	−0.471205	−	0.167878i
$903$		−	337.460i		−	0.373709i
$904$	−463.692	−	766.518i	−0.512934	−	0.847918i
$905$	432.112			0.477471
$906$	487.051	−	1367.07i	0.537584	−	1.50891i
$907$	914.218			1.00796			0.503979	−	0.863716i	$-0.331869\pi$
$907$	914.218			1.00796			0.503979	+	0.863716i	$0.331869\pi$
$908$	827.848	+	675.640i	0.911727	+	0.744096i
$909$			34.9135i			0.0384087i
$910$	45.4891	−	127.680i	0.0499880	−	0.140308i
$911$		−	364.468i		−	0.400075i	−0.979788	−	0.200037i	$-0.935894\pi$
$911$		−	364.468i		−	0.400075i	0.979788	−	0.200037i	$-0.0641064\pi$
$912$	−317.958	−	1554.27i	−0.348638	−	1.70424i
$913$	546.559			0.598641
$914$	−956.138	−	340.646i	−1.04610	−	0.372698i
$915$	−300.240			−0.328131
$916$	521.811	−	639.365i	0.569663	−	0.697997i
$917$			114.888i			0.125287i
$918$	1101.14	+	392.305i	1.19949	+	0.427348i
$919$		−	654.446i		−	0.712128i	−0.934462	−	0.356064i	$-0.884118\pi$
$919$		−	654.446i		−	0.712128i	0.934462	−	0.356064i	$-0.115882\pi$
$920$	122.996	+	203.322i	0.133692	+	0.221002i
$921$	−235.134			−0.255303
$922$	−423.754	+	1189.41i	−0.459603	+	1.29003i
$923$	706.557			0.765501
$924$	72.5712	−	88.9201i	0.0785402	−	0.0962338i
$925$			279.213i			0.301851i
$926$	−210.923	+	592.027i	−0.227779	+	0.639338i
$927$		−	94.2018i		−	0.101620i
$928$	−508.315	−	71.8743i	−0.547754	−	0.0774508i
$929$	1009.59			1.08675			0.543373	−	0.839491i	$-0.317147\pi$
$929$	1009.59			1.08675			0.543373	+	0.839491i	$0.317147\pi$
$930$	−421.096	−	150.025i	−0.452792	−	0.161318i
$931$	−238.708			−0.256399
$932$	−656.275	−	535.612i	−0.704157	−	0.574691i
$933$		−	327.695i		−	0.351227i
$934$	464.529	+	165.499i	0.497354	+	0.177194i
$935$			175.630i			0.187839i
$936$	−42.7855	+	25.8824i	−0.0457110	+	0.0276521i
$937$	791.301			0.844505			0.422252	−	0.906478i	$-0.361240\pi$
$937$	791.301			0.844505			0.422252	+	0.906478i	$0.361240\pi$
$938$	−103.688	+	291.036i	−0.110542	+	0.310273i
$939$	26.2913			0.0279992
$940$	−376.125	−	306.971i	−0.400133	−	0.326565i
$941$			1423.78i			1.51305i	0.653968	+	0.756523i	$0.273103\pi$
$941$			1423.78i			1.51305i	−0.653968	+	0.756523i	$0.726897\pi$
$942$	559.729	−	1571.07i	0.594192	−	1.66780i
$943$		−	803.456i		−	0.852021i
$944$	151.990	+	742.970i	0.161006	+	0.787044i
$945$	164.202			0.173759
$946$	−308.257	−	109.824i	−0.325853	−	0.116093i
$947$	−812.534			−0.858009			−0.429004	−	0.903302i	$-0.641136\pi$
$947$	−812.534			−0.858009			−0.429004	+	0.903302i	$0.641136\pi$
$948$	329.585	−	403.834i	0.347664	−	0.425985i
$949$			584.166i			0.615559i
$950$	321.233	+	114.447i	0.338140	+	0.120470i
$951$			276.034i			0.290257i
$952$	−381.361	+	230.698i	−0.400589	+	0.242330i
$953$	−968.257			−1.01601			−0.508005	−	0.861354i	$-0.669617\pi$
$953$	−968.257			−1.01601			−0.508005	+	0.861354i	$0.669617\pi$
$954$	−1.01774	+	2.85663i	−0.00106681	+	0.00299437i
$955$	529.634			0.554591
$956$	731.619	−	896.439i	0.765292	−	0.937697i
$957$			173.989i			0.181806i
$958$	−237.395	+	666.328i	−0.247802	+	0.695541i
$959$		−	505.083i		−	0.526677i
$960$	−368.561	−	193.152i	−0.383918	−	0.201200i
$961$	−220.816			−0.229777
$962$	−1205.19	−	429.376i	−1.25279	−	0.446337i
$963$	15.0795			0.0156588
$964$	12.8793	+	10.5113i	0.0133602	+	0.0109038i
$965$		−	379.256i		−	0.393011i
$966$	192.529	+	68.5930i	0.199306	+	0.0710072i
$967$		−	586.922i		−	0.606952i	−0.952839	−	0.303476i	$-0.901853\pi$
$967$		−	586.922i		−	0.606952i	0.952839	−	0.303476i	$-0.0981472\pi$
$968$	443.425	+	733.016i	0.458084	+	0.757247i
$969$	2087.96			2.15476
$970$	−49.5569	+	139.098i	−0.0510896	+	0.143400i
$971$	888.710			0.915252			0.457626	−	0.889145i	$-0.348700\pi$
$971$	888.710			0.915252			0.457626	+	0.889145i	$0.348700\pi$
$972$	−91.1818	−	74.4171i	−0.0938084	−	0.0765608i
$973$		−	131.527i		−	0.135176i
$974$	54.0503	−	151.710i	0.0554931	−	0.155760i
$975$			166.540i			0.170810i
$976$	−723.870	+	148.082i	−0.741670	+	0.151724i
$977$	−856.004			−0.876155			−0.438078	−	0.898937i	$-0.644340\pi$
$977$	−856.004			−0.876155			−0.438078	+	0.898937i	$0.644340\pi$
$978$	1674.61	+	596.619i	1.71228	+	0.610040i
$979$	−239.872			−0.245017
$980$	−39.5876	+	48.5059i	−0.0403955	+	0.0494958i
$981$			22.1274i			0.0225560i
$982$	993.663	+	354.015i	1.01188	+	0.360505i
$983$		−	1640.26i		−	1.66863i	−0.551288	−	0.834315i	$-0.685863\pi$
$983$		−	1640.26i		−	1.66863i	0.551288	−	0.834315i	$-0.314137\pi$
$984$	728.211	+	1203.79i	0.740052	+	1.22336i
$985$	−226.401			−0.229849
$986$	226.757	−	636.469i	0.229976	−	0.645506i
$987$	−417.566			−0.423066
$988$	−987.991	+	1210.57i	−0.999991	+	1.22527i
$989$		−	582.718i		−	0.589199i
$990$	3.05466	−	8.57393i	0.00308552	−	0.00866053i
$991$			1293.79i			1.30554i	0.757555	+	0.652771i	$0.226394\pi$
$991$			1293.79i			1.30554i	−0.757555	+	0.652771i	$0.773606\pi$
$992$	−1089.25	−	154.016i	−1.09803	−	0.155258i
$993$	122.114			0.122975
$994$	−307.446	−	109.535i	−0.309302	−	0.110196i
$995$	298.559			0.300059
$996$	−1320.35	−	1077.59i	−1.32565	−	1.08192i
$997$		−	299.484i		−	0.300385i	−0.988657	−	0.150193i	$-0.952011\pi$
$997$		−	299.484i		−	0.300385i	0.988657	−	0.150193i	$-0.0479894\pi$
$998$	−794.396	−	283.022i	−0.795988	−	0.283589i
$999$		−	1549.92i		−	1.55148i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.3.o.a.211.7	✓	48
4.3	odd	2		1120.3.o.a.911.36		48
8.3	odd	2	inner	280.3.o.a.211.8	yes	48
8.5	even	2		1120.3.o.a.911.35		48

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.3.o.a.211.7	✓	48	1.1	even	1	trivial
280.3.o.a.211.8	yes	48	8.3	odd	2	inner
1120.3.o.a.911.35		48	8.5	even	2
1120.3.o.a.911.36		48	4.3	odd	2

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	280.o (of order \(2\), degree \(1\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.88400 - 0.671219i) q^{2} -2.90764 q^{3} +(3.09893 + 2.52916i) q^{4} -2.23607i q^{5} +(5.47799 + 1.95166i) q^{6} +2.64575i q^{7} +(-4.14077 - 6.84500i) q^{8} -0.545650 q^{9} +O(q^{10})\)	\(q+(-1.88400 - 0.671219i) q^{2} -2.90764 q^{3} +(3.09893 + 2.52916i) q^{4} -2.23607i q^{5} +(5.47799 + 1.95166i) q^{6} +2.64575i q^{7} +(-4.14077 - 6.84500i) q^{8} -0.545650 q^{9} +(-1.50089 + 4.21276i) q^{10} +3.72992 q^{11} +(-9.01056 - 7.35387i) q^{12} +11.4554i q^{13} +(1.77588 - 4.98460i) q^{14} +6.50167i q^{15} +(3.20672 + 15.6754i) q^{16} -21.0578 q^{17} +(1.02801 + 0.366251i) q^{18} +34.1011 q^{19} +(5.65537 - 6.92942i) q^{20} -7.69288i q^{21} +(-7.02717 - 2.50359i) q^{22} -13.2839i q^{23} +(12.0398 + 19.9028i) q^{24} -5.00000 q^{25} +(7.68905 - 21.5819i) q^{26} +27.7553 q^{27} +(-6.69152 + 8.19899i) q^{28} -16.0429i q^{29} +(4.36405 - 12.2492i) q^{30} -34.3776i q^{31} +(4.48014 - 31.6848i) q^{32} -10.8452 q^{33} +(39.6730 + 14.1344i) q^{34} +5.91608 q^{35} +(-1.69093 - 1.38004i) q^{36} -55.8425i q^{37} +(-64.2466 - 22.8893i) q^{38} -33.3080i q^{39} +(-15.3059 + 9.25904i) q^{40} +60.4834 q^{41} +(-5.16361 + 14.4934i) q^{42} +43.8665 q^{43} +(11.5587 + 9.43355i) q^{44} +1.22011i q^{45} +(-8.91642 + 25.0269i) q^{46} -54.2795i q^{47} +(-9.32397 - 45.5783i) q^{48} -7.00000 q^{49} +(9.42001 + 3.35610i) q^{50} +61.2286 q^{51} +(-28.9724 + 35.4993i) q^{52} +2.77880i q^{53} +(-52.2910 - 18.6299i) q^{54} -8.34035i q^{55} +(18.1102 - 10.9554i) q^{56} -99.1537 q^{57} +(-10.7683 + 30.2248i) q^{58} +47.3973 q^{59} +(-16.4438 + 20.1482i) q^{60} +46.1788i q^{61} +(-23.0749 + 64.7674i) q^{62} -1.44365i q^{63} +(-29.7081 + 56.6871i) q^{64} +25.6149 q^{65} +(20.4325 + 7.27954i) q^{66} -58.3870 q^{67} +(-65.2568 - 53.2586i) q^{68} +38.6248i q^{69} +(-11.1459 - 3.97099i) q^{70} -61.6792i q^{71} +(2.25941 + 3.73498i) q^{72} +50.9950 q^{73} +(-37.4826 + 105.207i) q^{74} +14.5382 q^{75} +(105.677 + 86.2471i) q^{76} +9.86843i q^{77} +(-22.3570 + 62.7523i) q^{78} +44.8179i q^{79} +(35.0512 - 7.17044i) q^{80} -75.7914 q^{81} +(-113.951 - 40.5976i) q^{82} +146.534 q^{83} +(19.4565 - 23.8397i) q^{84} +47.0868i q^{85} +(-82.6445 - 29.4440i) q^{86} +46.6468i q^{87} +(-15.4447 - 25.5313i) q^{88} -64.3103 q^{89} +(0.818962 - 2.29869i) q^{90} -30.3080 q^{91} +(33.5971 - 41.1659i) q^{92} +99.9574i q^{93} +(-36.4335 + 102.263i) q^{94} -76.2524i q^{95} +(-13.0266 + 92.1280i) q^{96} +33.0183 q^{97} +(13.1880 + 4.69854i) q^{98} -2.03523 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 48 q - 2 q^{2} + 10 q^{4} + 24 q^{6} - 26 q^{8} + 144 q^{9}+O(q^{10}) \) 48 * q - 2 * q^2 + 10 * q^4 + 24 * q^6 - 26 * q^8 + 144 * q^9	\( 48 q - 2 q^{2} + 10 q^{4} + 24 q^{6} - 26 q^{8} + 144 q^{9} + 20 q^{10} + 32 q^{11} - 60 q^{12} - 14 q^{14} + 18 q^{16} + 54 q^{18} - 64 q^{19} - 32 q^{22} - 52 q^{24} - 240 q^{25} - 156 q^{26} + 192 q^{27} - 70 q^{28} - 80 q^{30} - 42 q^{32} - 32 q^{33} - 120 q^{34} + 158 q^{36} - 100 q^{38} + 80 q^{40} - 96 q^{41} - 96 q^{43} - 20 q^{44} - 16 q^{46} + 60 q^{48} - 336 q^{49} + 10 q^{50} + 192 q^{51} + 56 q^{52} + 428 q^{54} + 14 q^{56} + 160 q^{57} + 564 q^{58} - 576 q^{59} - 60 q^{60} + 64 q^{62} - 14 q^{64} - 132 q^{66} - 160 q^{67} + 36 q^{68} + 58 q^{72} + 272 q^{74} + 300 q^{76} - 180 q^{78} + 320 q^{80} + 656 q^{81} - 412 q^{82} - 196 q^{84} + 332 q^{86} + 820 q^{88} + 240 q^{90} + 544 q^{92} - 244 q^{94} - 1444 q^{96} + 14 q^{98} + 224 q^{99}+O(q^{100}) \) 48 * q - 2 * q^2 + 10 * q^4 + 24 * q^6 - 26 * q^8 + 144 * q^9 + 20 * q^10 + 32 * q^11 - 60 * q^12 - 14 * q^14 + 18 * q^16 + 54 * q^18 - 64 * q^19 - 32 * q^22 - 52 * q^24 - 240 * q^25 - 156 * q^26 + 192 * q^27 - 70 * q^28 - 80 * q^30 - 42 * q^32 - 32 * q^33 - 120 * q^34 + 158 * q^36 - 100 * q^38 + 80 * q^40 - 96 * q^41 - 96 * q^43 - 20 * q^44 - 16 * q^46 + 60 * q^48 - 336 * q^49 + 10 * q^50 + 192 * q^51 + 56 * q^52 + 428 * q^54 + 14 * q^56 + 160 * q^57 + 564 * q^58 - 576 * q^59 - 60 * q^60 + 64 * q^62 - 14 * q^64 - 132 * q^66 - 160 * q^67 + 36 * q^68 + 58 * q^72 + 272 * q^74 + 300 * q^76 - 180 * q^78 + 320 * q^80 + 656 * q^81 - 412 * q^82 - 196 * q^84 + 332 * q^86 + 820 * q^88 + 240 * q^90 + 544 * q^92 - 244 * q^94 - 1444 * q^96 + 14 * q^98 + 224 * q^99

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