Properties

Label 11.6.c.a.3.1
Level $11$
Weight $6$
Character 11.3
Analytic conductor $1.764$
Analytic rank $0$
Dimension $16$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [11,6,Mod(3,11)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(11, base_ring=CyclotomicField(10))
 
chi = DirichletCharacter(H, H._module([8]))
 
N = Newforms(chi, 6, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("11.3");
 
S:= CuspForms(chi, 6);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 11 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 11.c (of order \(5\), degree \(4\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(1.76422201794\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(4\) over \(\Q(\zeta_{5})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} - \cdots)\)
comment: defining polynomial
 
gp: f.mod \\ as an extension of the character field
 
Defining polynomial: \( x^{16} - 5 x^{15} + 86 x^{14} - 146 x^{13} + 7205 x^{12} - 23732 x^{11} + 774165 x^{10} - 1228996 x^{9} + 44649817 x^{8} - 92720004 x^{7} + 943915592 x^{6} + \cdots + 393784336 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 2^{4} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label 3.1
Root \(2.73971 + 8.43195i\) of defining polynomial
Character \(\chi\) \(=\) 11.3
Dual form 11.6.c.a.4.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-6.36363 + 4.62345i) q^{2} +(-5.98507 - 18.4202i) q^{3} +(9.23097 - 28.4100i) q^{4} +(-59.3249 - 43.1020i) q^{5} +(123.251 + 89.5474i) q^{6} +(-51.6143 + 158.852i) q^{7} +(-5.17243 - 15.9191i) q^{8} +(-106.890 + 77.6601i) q^{9} +O(q^{10})\) \(q+(-6.36363 + 4.62345i) q^{2} +(-5.98507 - 18.4202i) q^{3} +(9.23097 - 28.4100i) q^{4} +(-59.3249 - 43.1020i) q^{5} +(123.251 + 89.5474i) q^{6} +(-51.6143 + 158.852i) q^{7} +(-5.17243 - 15.9191i) q^{8} +(-106.890 + 77.6601i) q^{9} +576.801 q^{10} +(3.42402 - 401.297i) q^{11} -578.565 q^{12} +(-139.478 + 101.337i) q^{13} +(-405.991 - 1249.51i) q^{14} +(-438.883 + 1350.74i) q^{15} +(879.860 + 639.256i) q^{16} +(365.505 + 265.555i) q^{17} +(321.151 - 988.400i) q^{18} +(-764.308 - 2352.30i) q^{19} +(-1772.15 + 1287.55i) q^{20} +3235.00 q^{21} +(1833.59 + 2569.54i) q^{22} -2589.01 q^{23} +(-262.275 + 190.554i) q^{24} +(695.975 + 2141.99i) q^{25} +(419.062 - 1289.74i) q^{26} +(-1737.34 - 1262.25i) q^{27} +(4036.54 + 2932.72i) q^{28} +(-709.309 + 2183.03i) q^{29} +(-3452.20 - 10624.8i) q^{30} +(3782.18 - 2747.92i) q^{31} -8019.04 q^{32} +(-7412.45 + 2338.72i) q^{33} -3553.72 q^{34} +(9908.87 - 7199.21i) q^{35} +(1219.63 + 3753.62i) q^{36} +(951.875 - 2929.57i) q^{37} +(15739.5 + 11435.4i) q^{38} +(2701.43 + 1962.70i) q^{39} +(-379.292 + 1167.34i) q^{40} +(2213.70 + 6813.06i) q^{41} +(-20586.3 + 14956.9i) q^{42} +398.961 q^{43} +(-11369.2 - 3801.64i) q^{44} +9688.54 q^{45} +(16475.5 - 11970.2i) q^{46} +(415.282 + 1278.11i) q^{47} +(6509.16 - 20033.1i) q^{48} +(-8972.88 - 6519.18i) q^{49} +(-14332.3 - 10413.0i) q^{50} +(2703.99 - 8322.03i) q^{51} +(1591.46 + 4898.02i) q^{52} +(-8163.81 + 5931.36i) q^{53} +16891.7 q^{54} +(-17499.8 + 23659.3i) q^{55} +2795.76 q^{56} +(-38755.2 + 28157.3i) q^{57} +(-5579.34 - 17171.4i) q^{58} +(12277.9 - 37787.5i) q^{59} +(34323.3 + 24937.3i) q^{60} +(13623.8 + 9898.29i) q^{61} +(-11363.6 + 34973.4i) q^{62} +(-6819.44 - 20988.1i) q^{63} +(22874.7 - 16619.4i) q^{64} +12642.4 q^{65} +(36357.1 - 49153.8i) q^{66} -28904.6 q^{67} +(10918.4 - 7932.67i) q^{68} +(15495.4 + 47690.0i) q^{69} +(-29771.2 + 91626.2i) q^{70} +(-49150.0 - 35709.6i) q^{71} +(1789.16 + 1299.90i) q^{72} +(11036.1 - 33965.7i) q^{73} +(7487.33 + 23043.6i) q^{74} +(35290.4 - 25639.9i) q^{75} -73884.0 q^{76} +(63570.2 + 21256.6i) q^{77} -26265.4 q^{78} +(10128.2 - 7358.60i) q^{79} +(-24644.3 - 75847.5i) q^{80} +(-22774.1 + 70091.3i) q^{81} +(-45586.9 - 33120.9i) q^{82} +(12273.1 + 8916.96i) q^{83} +(29862.2 - 91906.3i) q^{84} +(-10237.6 - 31508.0i) q^{85} +(-2538.84 + 1844.57i) q^{86} +44457.0 q^{87} +(-6405.99 + 2021.17i) q^{88} +101481. q^{89} +(-61654.3 + 44794.5i) q^{90} +(-8898.54 - 27386.9i) q^{91} +(-23899.1 + 73553.8i) q^{92} +(-73253.7 - 53221.9i) q^{93} +(-8551.95 - 6213.36i) q^{94} +(-56046.3 + 172493. i) q^{95} +(47994.5 + 147712. i) q^{96} +(108448. - 78792.3i) q^{97} +87241.2 q^{98} +(30798.8 + 43160.5i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16 q - q^{2} - 24 q^{3} - 73 q^{4} - 10 q^{5} + 121 q^{6} + 196 q^{7} + 527 q^{8} - 530 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 16 q - q^{2} - 24 q^{3} - 73 q^{4} - 10 q^{5} + 121 q^{6} + 196 q^{7} + 527 q^{8} - 530 q^{9} - 672 q^{10} - 692 q^{11} - 1562 q^{12} + 1162 q^{13} + 560 q^{14} + 1796 q^{15} + 6399 q^{16} - 22 q^{17} + 834 q^{18} - 3236 q^{19} - 5514 q^{20} - 7772 q^{21} - 13059 q^{22} - 10848 q^{23} + 13233 q^{24} + 15686 q^{25} + 16216 q^{26} + 22500 q^{27} + 8838 q^{28} + 13070 q^{29} - 22830 q^{30} - 14764 q^{31} - 58812 q^{32} - 48544 q^{33} - 26966 q^{34} + 43368 q^{35} + 63696 q^{36} + 4638 q^{37} + 68144 q^{38} + 20300 q^{39} + 52284 q^{40} - 14806 q^{41} - 69922 q^{42} - 24376 q^{43} - 104960 q^{44} - 97480 q^{45} + 50452 q^{46} + 40364 q^{47} + 30236 q^{48} + 32246 q^{49} + 10839 q^{50} + 75564 q^{51} - 80654 q^{52} - 11654 q^{53} + 43796 q^{54} + 7052 q^{55} + 70632 q^{56} - 40020 q^{57} + 10276 q^{58} + 70804 q^{59} + 46116 q^{60} - 31446 q^{61} - 153388 q^{62} - 7064 q^{63} + 17695 q^{64} - 41284 q^{65} + 48006 q^{66} - 64200 q^{67} - 94114 q^{68} - 62412 q^{69} - 103768 q^{70} - 184380 q^{71} - 14729 q^{72} - 1750 q^{73} + 306048 q^{74} + 246596 q^{75} + 174806 q^{76} + 384646 q^{77} + 360916 q^{78} + 24324 q^{79} - 386444 q^{80} - 259412 q^{81} - 316255 q^{82} - 46028 q^{83} - 271956 q^{84} + 63914 q^{85} + 22931 q^{86} - 47592 q^{87} + 211871 q^{88} + 148364 q^{89} - 347186 q^{90} - 258448 q^{91} - 58658 q^{92} - 387478 q^{93} - 55370 q^{94} - 4716 q^{95} + 328396 q^{96} + 484296 q^{97} + 743692 q^{98} + 724964 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/11\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{4}{5}\right)\)

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 \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −6.36363 + 4.62345i −1.12494 + 0.817318i −0.984951 0.172835i \(-0.944707\pi\)
−0.139991 + 0.990153i \(0.544707\pi\)
\(3\) −5.98507 18.4202i −0.383943 1.18165i −0.937244 0.348673i \(-0.886632\pi\)
0.553302 0.832981i \(-0.313368\pi\)
\(4\) 9.23097 28.4100i 0.288468 0.887812i
\(5\) −59.3249 43.1020i −1.06124 0.771033i −0.0869187 0.996215i \(-0.527702\pi\)
−0.974317 + 0.225183i \(0.927702\pi\)
\(6\) 123.251 + 89.5474i 1.39770 + 1.01549i
\(7\) −51.6143 + 158.852i −0.398130 + 1.22532i 0.528368 + 0.849016i \(0.322804\pi\)
−0.926497 + 0.376301i \(0.877196\pi\)
\(8\) −5.17243 15.9191i −0.0285739 0.0879414i
\(9\) −106.890 + 77.6601i −0.439876 + 0.319589i
\(10\) 576.801 1.82401
\(11\) 3.42402 401.297i 0.00853208 0.999964i
\(12\) −578.565 −1.15984
\(13\) −139.478 + 101.337i −0.228901 + 0.166307i −0.696324 0.717727i \(-0.745183\pi\)
0.467423 + 0.884034i \(0.345183\pi\)
\(14\) −405.991 1249.51i −0.553601 1.70381i
\(15\) −438.883 + 1350.74i −0.503640 + 1.55004i
\(16\) 879.860 + 639.256i 0.859238 + 0.624273i
\(17\) 365.505 + 265.555i 0.306741 + 0.222860i 0.730497 0.682916i \(-0.239289\pi\)
−0.423756 + 0.905776i \(0.639289\pi\)
\(18\) 321.151 988.400i 0.233629 0.719038i
\(19\) −764.308 2352.30i −0.485718 1.49489i −0.830938 0.556364i \(-0.812196\pi\)
0.345220 0.938522i \(-0.387804\pi\)
\(20\) −1772.15 + 1287.55i −0.990664 + 0.719760i
\(21\) 3235.00 1.60076
\(22\) 1833.59 + 2569.54i 0.807690 + 1.13187i
\(23\) −2589.01 −1.02050 −0.510251 0.860025i \(-0.670448\pi\)
−0.510251 + 0.860025i \(0.670448\pi\)
\(24\) −262.275 + 190.554i −0.0929455 + 0.0675289i
\(25\) 695.975 + 2141.99i 0.222712 + 0.685437i
\(26\) 419.062 1289.74i 0.121575 0.374170i
\(27\) −1737.34 1262.25i −0.458644 0.333224i
\(28\) 4036.54 + 2932.72i 0.973004 + 0.706929i
\(29\) −709.309 + 2183.03i −0.156618 + 0.482019i −0.998321 0.0579204i \(-0.981553\pi\)
0.841704 + 0.539940i \(0.181553\pi\)
\(30\) −3452.20 10624.8i −0.700313 2.15534i
\(31\) 3782.18 2747.92i 0.706868 0.513570i −0.175294 0.984516i \(-0.556088\pi\)
0.882162 + 0.470947i \(0.156088\pi\)
\(32\) −8019.04 −1.38435
\(33\) −7412.45 + 2338.72i −1.18489 + 0.373847i
\(34\) −3553.72 −0.527213
\(35\) 9908.87 7199.21i 1.36727 0.993379i
\(36\) 1219.63 + 3753.62i 0.156845 + 0.482719i
\(37\) 951.875 2929.57i 0.114308 0.351803i −0.877494 0.479587i \(-0.840786\pi\)
0.991802 + 0.127784i \(0.0407865\pi\)
\(38\) 15739.5 + 11435.4i 1.76820 + 1.28467i
\(39\) 2701.43 + 1962.70i 0.284402 + 0.206630i
\(40\) −379.292 + 1167.34i −0.0374821 + 0.115358i
\(41\) 2213.70 + 6813.06i 0.205664 + 0.632969i 0.999685 + 0.0250791i \(0.00798376\pi\)
−0.794021 + 0.607890i \(0.792016\pi\)
\(42\) −20586.3 + 14956.9i −1.80076 + 1.30833i
\(43\) 398.961 0.0329048 0.0164524 0.999865i \(-0.494763\pi\)
0.0164524 + 0.999865i \(0.494763\pi\)
\(44\) −11369.2 3801.64i −0.885319 0.296032i
\(45\) 9688.54 0.713226
\(46\) 16475.5 11970.2i 1.14801 0.834075i
\(47\) 415.282 + 1278.11i 0.0274219 + 0.0843960i 0.963831 0.266515i \(-0.0858721\pi\)
−0.936409 + 0.350911i \(0.885872\pi\)
\(48\) 6509.16 20033.1i 0.407776 1.25501i
\(49\) −8972.88 6519.18i −0.533878 0.387885i
\(50\) −14332.3 10413.0i −0.810758 0.589050i
\(51\) 2703.99 8322.03i 0.145573 0.448027i
\(52\) 1591.46 + 4898.02i 0.0816184 + 0.251196i
\(53\) −8163.81 + 5931.36i −0.399212 + 0.290044i −0.769220 0.638984i \(-0.779355\pi\)
0.370008 + 0.929029i \(0.379355\pi\)
\(54\) 16891.7 0.788298
\(55\) −17499.8 + 23659.3i −0.780059 + 1.05462i
\(56\) 2795.76 0.119132
\(57\) −38755.2 + 28157.3i −1.57995 + 1.14790i
\(58\) −5579.34 17171.4i −0.217777 0.670250i
\(59\) 12277.9 37787.5i 0.459192 1.41325i −0.406949 0.913451i \(-0.633407\pi\)
0.866142 0.499798i \(-0.166593\pi\)
\(60\) 34323.3 + 24937.3i 1.23086 + 0.894276i
\(61\) 13623.8 + 9898.29i 0.468786 + 0.340593i 0.796968 0.604022i \(-0.206436\pi\)
−0.328182 + 0.944615i \(0.606436\pi\)
\(62\) −11363.6 + 34973.4i −0.375435 + 1.15547i
\(63\) −6819.44 20988.1i −0.216470 0.666226i
\(64\) 22874.7 16619.4i 0.698080 0.507185i
\(65\) 12642.4 0.371146
\(66\) 36357.1 49153.8i 1.02738 1.38898i
\(67\) −28904.6 −0.786648 −0.393324 0.919400i \(-0.628675\pi\)
−0.393324 + 0.919400i \(0.628675\pi\)
\(68\) 10918.4 7932.67i 0.286343 0.208040i
\(69\) 15495.4 + 47690.0i 0.391815 + 1.20588i
\(70\) −29771.2 + 91626.2i −0.726191 + 2.23499i
\(71\) −49150.0 35709.6i −1.15712 0.840696i −0.167708 0.985837i \(-0.553636\pi\)
−0.989411 + 0.145141i \(0.953636\pi\)
\(72\) 1789.16 + 1299.90i 0.0406741 + 0.0295514i
\(73\) 11036.1 33965.7i 0.242387 0.745992i −0.753668 0.657256i \(-0.771717\pi\)
0.996055 0.0887361i \(-0.0282828\pi\)
\(74\) 7487.33 + 23043.6i 0.158945 + 0.489183i
\(75\) 35290.4 25639.9i 0.724441 0.526337i
\(76\) −73884.0 −1.46729
\(77\) 63570.2 + 21256.6i 1.22188 + 0.408570i
\(78\) −26265.4 −0.488818
\(79\) 10128.2 7358.60i 0.182586 0.132656i −0.492738 0.870178i \(-0.664004\pi\)
0.675324 + 0.737521i \(0.264004\pi\)
\(80\) −24644.3 75847.5i −0.430519 1.32500i
\(81\) −22774.1 + 70091.3i −0.385681 + 1.18700i
\(82\) −45586.9 33120.9i −0.748697 0.543960i
\(83\) 12273.1 + 8916.96i 0.195551 + 0.142076i 0.681252 0.732049i \(-0.261436\pi\)
−0.485701 + 0.874125i \(0.661436\pi\)
\(84\) 29862.2 91906.3i 0.461767 1.42117i
\(85\) −10237.6 31508.0i −0.153692 0.473014i
\(86\) −2538.84 + 1844.57i −0.0370159 + 0.0268937i
\(87\) 44457.0 0.629712
\(88\) −6405.99 + 2021.17i −0.0881820 + 0.0278225i
\(89\) 101481. 1.35803 0.679016 0.734123i \(-0.262406\pi\)
0.679016 + 0.734123i \(0.262406\pi\)
\(90\) −61654.3 + 44794.5i −0.802337 + 0.582932i
\(91\) −8898.54 27386.9i −0.112646 0.346688i
\(92\) −23899.1 + 73553.8i −0.294382 + 0.906015i
\(93\) −73253.7 53221.9i −0.878258 0.638092i
\(94\) −8551.95 6213.36i −0.0998264 0.0725282i
\(95\) −56046.3 + 172493.i −0.637145 + 1.96093i
\(96\) 47994.5 + 147712.i 0.531513 + 1.63583i
\(97\) 108448. 78792.3i 1.17029 0.850266i 0.179247 0.983804i \(-0.442634\pi\)
0.991044 + 0.133539i \(0.0426340\pi\)
\(98\) 87241.2 0.917606
\(99\) 30798.8 + 43160.5i 0.315824 + 0.442587i
\(100\) 67278.5 0.672785
\(101\) −4121.09 + 2994.15i −0.0401984 + 0.0292058i −0.607703 0.794164i \(-0.707909\pi\)
0.567505 + 0.823370i \(0.307909\pi\)
\(102\) 21269.3 + 65460.1i 0.202419 + 0.622983i
\(103\) 20815.6 64063.8i 0.193328 0.595004i −0.806664 0.591011i \(-0.798729\pi\)
0.999992 0.00399289i \(-0.00127098\pi\)
\(104\) 2334.63 + 1696.21i 0.0211658 + 0.0153779i
\(105\) −191916. 139435.i −1.69878 1.23424i
\(106\) 24528.2 75489.9i 0.212031 0.652566i
\(107\) −10913.8 33589.1i −0.0921542 0.283622i 0.894347 0.447373i \(-0.147640\pi\)
−0.986502 + 0.163752i \(0.947640\pi\)
\(108\) −51897.9 + 37706.0i −0.428145 + 0.311065i
\(109\) −141350. −1.13954 −0.569770 0.821804i \(-0.692968\pi\)
−0.569770 + 0.821804i \(0.692968\pi\)
\(110\) 1974.98 231469.i 0.0155626 1.82394i
\(111\) −59660.2 −0.459597
\(112\) −146961. + 106773.i −1.10702 + 0.804298i
\(113\) 18325.9 + 56401.5i 0.135011 + 0.415522i 0.995592 0.0937924i \(-0.0298990\pi\)
−0.860580 + 0.509315i \(0.829899\pi\)
\(114\) 116440. 358366.i 0.839151 2.58264i
\(115\) 153593. + 111592.i 1.08299 + 0.786841i
\(116\) 55472.2 + 40302.9i 0.382764 + 0.278094i
\(117\) 7039.00 21663.8i 0.0475386 0.146309i
\(118\) 96576.6 + 297232.i 0.638509 + 1.96513i
\(119\) −61049.3 + 44354.9i −0.395197 + 0.287127i
\(120\) 23772.7 0.150704
\(121\) −161028. 2748.10i −0.999854 0.0170635i
\(122\) −132461. −0.805729
\(123\) 112248. 81553.3i 0.668987 0.486047i
\(124\) −43155.1 132818.i −0.252045 0.775714i
\(125\) −19777.2 + 60868.0i −0.113211 + 0.348429i
\(126\) 140434. + 102031.i 0.788034 + 0.572540i
\(127\) 219427. + 159423.i 1.20720 + 0.877085i 0.994974 0.100135i \(-0.0319275\pi\)
0.212230 + 0.977220i \(0.431928\pi\)
\(128\) 10569.7 32530.2i 0.0570214 0.175494i
\(129\) −2387.81 7348.92i −0.0126335 0.0388821i
\(130\) −80451.3 + 58451.3i −0.417518 + 0.303344i
\(131\) −359242. −1.82898 −0.914490 0.404609i \(-0.867408\pi\)
−0.914490 + 0.404609i \(0.867408\pi\)
\(132\) −1981.02 + 232176.i −0.00989586 + 1.15980i
\(133\) 413117. 2.02509
\(134\) 183938. 133639.i 0.884933 0.642941i
\(135\) 48661.9 + 149766.i 0.229802 + 0.707259i
\(136\) 2336.85 7192.07i 0.0108339 0.0333432i
\(137\) −212722. 154552.i −0.968303 0.703513i −0.0132389 0.999912i \(-0.504214\pi\)
−0.955064 + 0.296399i \(0.904214\pi\)
\(138\) −319099. 231839.i −1.42636 1.03631i
\(139\) −11066.7 + 34059.8i −0.0485826 + 0.149522i −0.972405 0.233300i \(-0.925048\pi\)
0.923822 + 0.382822i \(0.125048\pi\)
\(140\) −113061. 347966.i −0.487521 1.50044i
\(141\) 21057.4 15299.1i 0.0891984 0.0648065i
\(142\) 477874. 1.98881
\(143\) 40188.6 + 56319.2i 0.164348 + 0.230312i
\(144\) −143693. −0.577469
\(145\) 136173. 98935.2i 0.537861 0.390779i
\(146\) 86808.9 + 267170.i 0.337041 + 1.03730i
\(147\) −66381.0 + 204300.i −0.253367 + 0.779784i
\(148\) −74442.3 54085.5i −0.279361 0.202968i
\(149\) 92117.0 + 66926.9i 0.339918 + 0.246965i 0.744627 0.667481i \(-0.232627\pi\)
−0.404709 + 0.914445i \(0.632627\pi\)
\(150\) −106030. + 326326.i −0.384769 + 1.18420i
\(151\) −130182. 400658.i −0.464631 1.42999i −0.859446 0.511226i \(-0.829192\pi\)
0.394816 0.918760i \(-0.370808\pi\)
\(152\) −33493.1 + 24334.2i −0.117584 + 0.0854294i
\(153\) −59691.9 −0.206152
\(154\) −502816. + 158645.i −1.70847 + 0.539044i
\(155\) −342818. −1.14613
\(156\) 80697.2 58630.0i 0.265489 0.192889i
\(157\) −151673. 466803.i −0.491089 1.51142i −0.822964 0.568094i \(-0.807681\pi\)
0.331874 0.943324i \(-0.392319\pi\)
\(158\) −30430.3 + 93654.8i −0.0969758 + 0.298461i
\(159\) 158118. + 114879.i 0.496006 + 0.360370i
\(160\) 475728. + 345637.i 1.46913 + 1.06738i
\(161\) 133630. 411270.i 0.406292 1.25044i
\(162\) −179138. 551330.i −0.536290 1.65053i
\(163\) 53272.2 38704.5i 0.157048 0.114102i −0.506486 0.862248i \(-0.669056\pi\)
0.663534 + 0.748146i \(0.269056\pi\)
\(164\) 213993. 0.621285
\(165\) 540546. + 180747.i 1.54569 + 0.516847i
\(166\) −119329. −0.336105
\(167\) 117235. 85175.9i 0.325285 0.236334i −0.413142 0.910667i \(-0.635569\pi\)
0.738427 + 0.674333i \(0.235569\pi\)
\(168\) −16732.8 51498.3i −0.0457399 0.140773i
\(169\) −105551. + 324852.i −0.284279 + 0.874921i
\(170\) 210824. + 153172.i 0.559496 + 0.406498i
\(171\) 264376. + 192081.i 0.691405 + 0.502335i
\(172\) 3682.79 11334.5i 0.00949197 0.0292133i
\(173\) 65248.8 + 200815.i 0.165751 + 0.510130i 0.999091 0.0426312i \(-0.0135740\pi\)
−0.833339 + 0.552762i \(0.813574\pi\)
\(174\) −282908. + 205545.i −0.708389 + 0.514675i
\(175\) −376183. −0.928546
\(176\) 259544. 350896.i 0.631581 0.853881i
\(177\) −769537. −1.84627
\(178\) −645788. + 469193.i −1.52771 + 1.10994i
\(179\) 224974. + 692398.i 0.524807 + 1.61519i 0.764697 + 0.644390i \(0.222889\pi\)
−0.239890 + 0.970800i \(0.577111\pi\)
\(180\) 89434.6 275251.i 0.205743 0.633211i
\(181\) 507999. + 369083.i 1.15257 + 0.837389i 0.988820 0.149113i \(-0.0476418\pi\)
0.163747 + 0.986502i \(0.447642\pi\)
\(182\) 183249. + 133138.i 0.410075 + 0.297937i
\(183\) 100788. 310195.i 0.222476 0.684711i
\(184\) 13391.5 + 41214.7i 0.0291597 + 0.0897445i
\(185\) −182740. + 132769.i −0.392559 + 0.285211i
\(186\) 712228. 1.50951
\(187\) 107818. 145767.i 0.225469 0.304828i
\(188\) 40144.4 0.0828382
\(189\) 290183. 210830.i 0.590905 0.429318i
\(190\) −440854. 1.35681e6i −0.885952 2.72668i
\(191\) 189676. 583762.i 0.376208 1.15785i −0.566452 0.824095i \(-0.691684\pi\)
0.942660 0.333755i \(-0.108316\pi\)
\(192\) −443039. 321887.i −0.867339 0.630159i
\(193\) −671346. 487761.i −1.29734 0.942571i −0.297412 0.954749i \(-0.596123\pi\)
−0.999926 + 0.0121784i \(0.996123\pi\)
\(194\) −325833. + 1.00281e6i −0.621571 + 1.91300i
\(195\) −75665.4 232874.i −0.142499 0.438566i
\(196\) −268038. + 194741.i −0.498375 + 0.362091i
\(197\) 577890. 1.06091 0.530456 0.847712i \(-0.322021\pi\)
0.530456 + 0.847712i \(0.322021\pi\)
\(198\) −395542. 132261.i −0.717018 0.239756i
\(199\) 79423.0 0.142172 0.0710859 0.997470i \(-0.477354\pi\)
0.0710859 + 0.997470i \(0.477354\pi\)
\(200\) 30498.7 22158.6i 0.0539145 0.0391712i
\(201\) 172996. + 532428.i 0.302028 + 0.929545i
\(202\) 12381.8 38107.3i 0.0213504 0.0657097i
\(203\) −310169. 225351.i −0.528273 0.383812i
\(204\) −211468. 153641.i −0.355770 0.258482i
\(205\) 162329. 499598.i 0.269782 0.830303i
\(206\) 163733. + 503918.i 0.268824 + 0.827355i
\(207\) 276739. 201063.i 0.448895 0.326141i
\(208\) −187502. −0.300502
\(209\) −946587. + 298660.i −1.49898 + 0.472946i
\(210\) 1.86595e6 2.91979
\(211\) −448445. + 325815.i −0.693431 + 0.503807i −0.877786 0.479052i \(-0.840980\pi\)
0.184355 + 0.982860i \(0.440980\pi\)
\(212\) 93149.9 + 286686.i 0.142345 + 0.438094i
\(213\) −363610. + 1.11908e6i −0.549144 + 1.69009i
\(214\) 224749. + 163289.i 0.335477 + 0.243738i
\(215\) −23668.3 17196.0i −0.0349197 0.0253707i
\(216\) −11107.6 + 34185.8i −0.0161990 + 0.0498553i
\(217\) 241298. + 742640.i 0.347861 + 1.07060i
\(218\) 899499. 653524.i 1.28192 0.931366i
\(219\) −691706. −0.974566
\(220\) 510620. + 715569.i 0.711281 + 0.996769i
\(221\) −77890.6 −0.107276
\(222\) 379655. 275836.i 0.517019 0.375637i
\(223\) 2530.09 + 7786.81i 0.00340701 + 0.0104857i 0.952746 0.303769i \(-0.0982453\pi\)
−0.949339 + 0.314255i \(0.898245\pi\)
\(224\) 413897. 1.27384e6i 0.551153 1.69627i
\(225\) −240740. 174908.i −0.317024 0.230331i
\(226\) −377389. 274189.i −0.491493 0.357091i
\(227\) −73503.2 + 226220.i −0.0946764 + 0.291384i −0.987169 0.159678i \(-0.948955\pi\)
0.892493 + 0.451062i \(0.148955\pi\)
\(228\) 442201. + 1.36096e6i 0.563356 + 1.73383i
\(229\) 294453. 213933.i 0.371046 0.269581i −0.386599 0.922248i \(-0.626350\pi\)
0.757644 + 0.652668i \(0.226350\pi\)
\(230\) −1.49334e6 −1.86140
\(231\) 11076.7 1.29820e6i 0.0136578 1.60070i
\(232\) 38420.7 0.0468646
\(233\) 421693. 306378.i 0.508870 0.369716i −0.303525 0.952824i \(-0.598163\pi\)
0.812395 + 0.583108i \(0.198163\pi\)
\(234\) 55367.9 + 170405.i 0.0661026 + 0.203443i
\(235\) 30452.4 93722.9i 0.0359710 0.110707i
\(236\) −960207. 697631.i −1.12224 0.815353i
\(237\) −196165. 142522.i −0.226856 0.164821i
\(238\) 183423. 564516.i 0.209899 0.646003i
\(239\) 55398.7 + 170500.i 0.0627342 + 0.193076i 0.977511 0.210883i \(-0.0676339\pi\)
−0.914777 + 0.403959i \(0.867634\pi\)
\(240\) −1.24962e6 + 907905.i −1.40040 + 1.01745i
\(241\) −1.07705e6 −1.19452 −0.597261 0.802047i \(-0.703744\pi\)
−0.597261 + 0.802047i \(0.703744\pi\)
\(242\) 1.03743e6 727014.i 1.13872 0.798003i
\(243\) 905562. 0.983791
\(244\) 406971. 295682.i 0.437612 0.317944i
\(245\) 251325. + 773499.i 0.267498 + 0.823274i
\(246\) −337250. + 1.03795e6i −0.355316 + 1.09355i
\(247\) 344979. + 250642.i 0.359791 + 0.261403i
\(248\) −63307.4 45995.5i −0.0653620 0.0474883i
\(249\) 90796.1 279442.i 0.0928045 0.285623i
\(250\) −155565. 478780.i −0.157421 0.484491i
\(251\) 1.18626e6 861869.i 1.18849 0.863490i 0.195388 0.980726i \(-0.437404\pi\)
0.993104 + 0.117236i \(0.0374035\pi\)
\(252\) −659222. −0.653928
\(253\) −8864.83 + 1.03896e6i −0.00870701 + 1.02047i
\(254\) −2.13343e6 −2.07489
\(255\) −519110. + 377156.i −0.499930 + 0.363220i
\(256\) 362735. + 1.11638e6i 0.345931 + 1.06467i
\(257\) 312287. 961122.i 0.294932 0.907707i −0.688312 0.725414i \(-0.741648\pi\)
0.983244 0.182293i \(-0.0583518\pi\)
\(258\) 49172.5 + 35725.9i 0.0459910 + 0.0334144i
\(259\) 416239. + 302415.i 0.385561 + 0.280126i
\(260\) 116701. 359169.i 0.107064 0.329508i
\(261\) −93716.3 288429.i −0.0851557 0.262082i
\(262\) 2.28608e6 1.66094e6i 2.05749 1.49486i
\(263\) 692197. 0.617078 0.308539 0.951212i \(-0.400160\pi\)
0.308539 + 0.951212i \(0.400160\pi\)
\(264\) 75570.6 + 105903.i 0.0667334 + 0.0935183i
\(265\) 739971. 0.647291
\(266\) −2.62892e6 + 1.91002e6i −2.27811 + 1.65514i
\(267\) −607372. 1.86930e6i −0.521407 1.60472i
\(268\) −266818. + 821180.i −0.226923 + 0.698396i
\(269\) 107297. + 77955.6i 0.0904077 + 0.0656851i 0.632071 0.774911i \(-0.282205\pi\)
−0.541663 + 0.840596i \(0.682205\pi\)
\(270\) −1.00210e6 728069.i −0.836569 0.607803i
\(271\) −357645. + 1.10072e6i −0.295821 + 0.910443i 0.687123 + 0.726541i \(0.258873\pi\)
−0.982944 + 0.183903i \(0.941127\pi\)
\(272\) 151836. + 467302.i 0.124438 + 0.382980i
\(273\) −451213. + 327825.i −0.366416 + 0.266217i
\(274\) 2.06825e6 1.66428
\(275\) 861958. 271958.i 0.687312 0.216856i
\(276\) 1.49791e6 1.18362
\(277\) −198498. + 144217.i −0.155438 + 0.112932i −0.662786 0.748809i \(-0.730626\pi\)
0.507348 + 0.861741i \(0.330626\pi\)
\(278\) −87049.3 267910.i −0.0675543 0.207911i
\(279\) −190874. + 587450.i −0.146803 + 0.451814i
\(280\) −165858. 120503.i −0.126427 0.0918548i
\(281\) 1.05704e6 + 767987.i 0.798596 + 0.580214i 0.910502 0.413505i \(-0.135696\pi\)
−0.111906 + 0.993719i \(0.535696\pi\)
\(282\) −63267.0 + 194716.i −0.0473755 + 0.145807i
\(283\) 61415.5 + 189017.i 0.0455839 + 0.140293i 0.971258 0.238029i \(-0.0765013\pi\)
−0.925674 + 0.378322i \(0.876501\pi\)
\(284\) −1.46821e6 + 1.06672e6i −1.08017 + 0.784791i
\(285\) 3.51279e6 2.56177
\(286\) −516135. 172585.i −0.373119 0.124763i
\(287\) −1.19653e6 −0.857469
\(288\) 857155. 622760.i 0.608945 0.442425i
\(289\) −375685. 1.15624e6i −0.264594 0.814336i
\(290\) −409130. + 1.25917e6i −0.285671 + 0.879206i
\(291\) −2.10044e6 1.52606e6i −1.45404 1.05642i
\(292\) −863092. 627073.i −0.592380 0.430389i
\(293\) −127927. + 393718.i −0.0870547 + 0.267927i −0.985102 0.171973i \(-0.944986\pi\)
0.898047 + 0.439899i \(0.144986\pi\)
\(294\) −522145. 1.60700e6i −0.352308 1.08429i
\(295\) −2.35711e6 + 1.71254e6i −1.57697 + 1.14574i
\(296\) −51559.6 −0.0342043
\(297\) −512487. + 692868.i −0.337125 + 0.455784i
\(298\) −895631. −0.584236
\(299\) 361111. 262363.i 0.233595 0.169716i
\(300\) −402666. 1.23928e6i −0.258311 0.794999i
\(301\) −20592.1 + 63375.8i −0.0131004 + 0.0403188i
\(302\) 2.68085e6 + 1.94775e6i 1.69143 + 1.22890i
\(303\) 79817.7 + 57990.9i 0.0499450 + 0.0362872i
\(304\) 831235. 2.55828e6i 0.515870 1.58768i
\(305\) −381595. 1.17443e6i −0.234884 0.722898i
\(306\) 379857. 275982.i 0.231908 0.168491i
\(307\) −766604. −0.464221 −0.232111 0.972689i \(-0.574563\pi\)
−0.232111 + 0.972689i \(0.574563\pi\)
\(308\) 1.19071e6 1.60981e6i 0.715205 0.966937i
\(309\) −1.30465e6 −0.777315
\(310\) 2.18157e6 1.58500e6i 1.28933 0.936754i
\(311\) −463251. 1.42574e6i −0.271591 0.835872i −0.990101 0.140355i \(-0.955176\pi\)
0.718510 0.695517i \(-0.244824\pi\)
\(312\) 17271.5 53156.3i 0.0100449 0.0309149i
\(313\) −772853. 561510.i −0.445898 0.323964i 0.342076 0.939672i \(-0.388870\pi\)
−0.787974 + 0.615708i \(0.788870\pi\)
\(314\) 3.12343e6 + 2.26931e6i 1.78775 + 1.29888i
\(315\) −500067. + 1.53905e6i −0.283956 + 0.873928i
\(316\) −115564. 355670.i −0.0651037 0.200369i
\(317\) −663718. + 482219.i −0.370967 + 0.269523i −0.757612 0.652705i \(-0.773634\pi\)
0.386645 + 0.922229i \(0.373634\pi\)
\(318\) −1.53734e6 −0.852515
\(319\) 873614. + 292118.i 0.480666 + 0.160725i
\(320\) −2.07337e6 −1.13188
\(321\) −553397. + 402067.i −0.299761 + 0.217789i
\(322\) 1.05112e6 + 3.23500e6i 0.564951 + 1.73874i
\(323\) 345306. 1.06274e6i 0.184161 0.566789i
\(324\) 1.78107e6 + 1.29402e6i 0.942579 + 0.684824i
\(325\) −314136. 228233.i −0.164972 0.119859i
\(326\) −160056. + 492603.i −0.0834121 + 0.256716i
\(327\) 845990. + 2.60369e6i 0.437518 + 1.34654i
\(328\) 97007.5 70480.1i 0.0497875 0.0361728i
\(329\) −224464. −0.114329
\(330\) −4.27551e6 + 1.34898e6i −2.16124 + 0.681898i
\(331\) 3.51843e6 1.76514 0.882570 0.470181i \(-0.155811\pi\)
0.882570 + 0.470181i \(0.155811\pi\)
\(332\) 366624. 266368.i 0.182547 0.132628i
\(333\) 125765. + 387064.i 0.0621511 + 0.191281i
\(334\) −352231. + 1.08406e6i −0.172767 + 0.531723i
\(335\) 1.71476e6 + 1.24585e6i 0.834819 + 0.606531i
\(336\) 2.84635e6 + 2.06799e6i 1.37543 + 0.999311i
\(337\) −137605. + 423506.i −0.0660025 + 0.203135i −0.978619 0.205682i \(-0.934059\pi\)
0.912616 + 0.408817i \(0.134059\pi\)
\(338\) −830250. 2.55525e6i −0.395291 1.21658i
\(339\) 929242. 675134.i 0.439167 0.319073i
\(340\) −989645. −0.464283
\(341\) −1.08978e6 1.52719e6i −0.507520 0.711224i
\(342\) −2.57047e6 −1.18836
\(343\) −772378. + 561166.i −0.354482 + 0.257547i
\(344\) −2063.60 6351.09i −0.000940218 0.00289369i
\(345\) 1.13627e6 3.49709e6i 0.513966 1.58183i
\(346\) −1.34368e6 976239.i −0.603399 0.438395i
\(347\) −2.01515e6 1.46409e6i −0.898429 0.652747i 0.0396330 0.999214i \(-0.487381\pi\)
−0.938062 + 0.346467i \(0.887381\pi\)
\(348\) 410381. 1.26302e6i 0.181652 0.559066i
\(349\) −1.38913e6 4.27529e6i −0.610490 1.87889i −0.453393 0.891311i \(-0.649786\pi\)
−0.157097 0.987583i \(-0.550214\pi\)
\(350\) 2.39389e6 1.73926e6i 1.04456 0.758917i
\(351\) 370234. 0.160402
\(352\) −27457.4 + 3.21802e6i −0.0118114 + 1.38430i
\(353\) 1.74717e6 0.746273 0.373136 0.927776i \(-0.378282\pi\)
0.373136 + 0.927776i \(0.378282\pi\)
\(354\) 4.89705e6 3.55791e6i 2.07695 1.50899i
\(355\) 1.37666e6 + 4.23693e6i 0.579771 + 1.78435i
\(356\) 936769. 2.88308e6i 0.391749 1.20568i
\(357\) 1.18241e6 + 859070.i 0.491018 + 0.356745i
\(358\) −4.63292e6 3.36601e6i −1.91050 1.38806i
\(359\) −1.34744e6 + 4.14699e6i −0.551788 + 1.69823i 0.152489 + 0.988305i \(0.451271\pi\)
−0.704277 + 0.709925i \(0.748729\pi\)
\(360\) −50113.3 154233.i −0.0203796 0.0627221i
\(361\) −2.94593e6 + 2.14034e6i −1.18975 + 0.864401i
\(362\) −4.93915e6 −1.98098
\(363\) 913141. + 2.98260e6i 0.363723 + 1.18803i
\(364\) −860204. −0.340289
\(365\) −2.11871e6 + 1.53933e6i −0.832414 + 0.604784i
\(366\) 792790. + 2.43996e6i 0.309354 + 0.952093i
\(367\) 1.00020e6 3.07829e6i 0.387633 1.19301i −0.546920 0.837185i \(-0.684200\pi\)
0.934552 0.355825i \(-0.115800\pi\)
\(368\) −2.27797e6 1.65504e6i −0.876855 0.637073i
\(369\) −765725. 556332.i −0.292757 0.212700i
\(370\) 549043. 1.68978e6i 0.208498 0.641691i
\(371\) −520841. 1.60298e6i −0.196458 0.604636i
\(372\) −2.18824e6 + 1.58985e6i −0.819855 + 0.595659i
\(373\) 3.81558e6 1.42000 0.710000 0.704202i \(-0.248695\pi\)
0.710000 + 0.704202i \(0.248695\pi\)
\(374\) −12168.0 + 1.42610e6i −0.00449822 + 0.527193i
\(375\) 1.23957e6 0.455188
\(376\) 18198.3 13221.8i 0.00663835 0.00482305i
\(377\) −122288. 376365.i −0.0443130 0.136381i
\(378\) −871855. + 2.68329e6i −0.313845 + 0.965914i
\(379\) 2.38365e6 + 1.73182e6i 0.852402 + 0.619307i 0.925807 0.377996i \(-0.123387\pi\)
−0.0734051 + 0.997302i \(0.523387\pi\)
\(380\) 4.38316e6 + 3.18455e6i 1.55714 + 1.13133i
\(381\) 1.62331e6 4.99604e6i 0.572914 1.76325i
\(382\) 1.49197e6 + 4.59180e6i 0.523119 + 1.60999i
\(383\) 1.02625e6 745611.i 0.357482 0.259726i −0.394519 0.918888i \(-0.629089\pi\)
0.752001 + 0.659162i \(0.229089\pi\)
\(384\) −662472. −0.229266
\(385\) −2.85509e6 4.00105e6i −0.981677 1.37569i
\(386\) 6.52733e6 2.22981
\(387\) −42644.9 + 30983.3i −0.0144740 + 0.0105160i
\(388\) −1.23741e6 3.80835e6i −0.417285 1.28427i
\(389\) −72527.5 + 223217.i −0.0243012 + 0.0747916i −0.962472 0.271382i \(-0.912519\pi\)
0.938170 + 0.346174i \(0.112519\pi\)
\(390\) 1.55819e6 + 1.13209e6i 0.518751 + 0.376894i
\(391\) −946297. 687525.i −0.313030 0.227429i
\(392\) −57367.9 + 176560.i −0.0188562 + 0.0580333i
\(393\) 2.15009e6 + 6.61729e6i 0.702223 + 2.16122i
\(394\) −3.67748e6 + 2.67184e6i −1.19346 + 0.867102i
\(395\) −918027. −0.296048
\(396\) 1.51049e6 476580.i 0.484039 0.152721i
\(397\) −5.42749e6 −1.72831 −0.864157 0.503222i \(-0.832148\pi\)
−0.864157 + 0.503222i \(0.832148\pi\)
\(398\) −505419. + 367208.i −0.159935 + 0.116200i
\(399\) −2.47253e6 7.60968e6i −0.777518 2.39295i
\(400\) −756919. + 2.32956e6i −0.236537 + 0.727987i
\(401\) 121481. + 88260.9i 0.0377265 + 0.0274099i 0.606489 0.795092i \(-0.292578\pi\)
−0.568762 + 0.822502i \(0.692578\pi\)
\(402\) −3.56254e6 2.58833e6i −1.09950 0.798832i
\(403\) −249067. + 766550.i −0.0763930 + 0.235114i
\(404\) 47022.0 + 144719.i 0.0143334 + 0.0441135i
\(405\) 4.37215e6 3.17655e6i 1.32452 0.962317i
\(406\) 3.01570e6 0.907972
\(407\) −1.17237e6 392015.i −0.350815 0.117305i
\(408\) −146465. −0.0435597
\(409\) 2.27528e6 1.65309e6i 0.672553 0.488638i −0.198326 0.980136i \(-0.563550\pi\)
0.870879 + 0.491498i \(0.163550\pi\)
\(410\) 1.27686e6 + 3.92978e6i 0.375132 + 1.15454i
\(411\) −1.57371e6 + 4.84338e6i −0.459536 + 1.41431i
\(412\) −1.62790e6 1.18274e6i −0.472483 0.343279i
\(413\) 5.36892e6 + 3.90075e6i 1.54886 + 1.12531i
\(414\) −831463. + 2.55898e6i −0.238420 + 0.733780i
\(415\) −343763. 1.05799e6i −0.0979804 0.301553i
\(416\) 1.11848e6 812625.i 0.316881 0.230227i
\(417\) 693621. 0.195336
\(418\) 4.64289e6 6.27705e6i 1.29971 1.75718i
\(419\) −4.50355e6 −1.25320 −0.626599 0.779342i \(-0.715554\pi\)
−0.626599 + 0.779342i \(0.715554\pi\)
\(420\) −5.73292e6 + 4.16521e6i −1.58581 + 1.15216i
\(421\) 847872. + 2.60948e6i 0.233144 + 0.717545i 0.997362 + 0.0725863i \(0.0231253\pi\)
−0.764218 + 0.644958i \(0.776875\pi\)
\(422\) 1.34735e6 4.14673e6i 0.368299 1.13351i
\(423\) −143647. 104366.i −0.0390343 0.0283601i
\(424\) 136649. + 99281.0i 0.0369139 + 0.0268195i
\(425\) −314434. + 967728.i −0.0844417 + 0.259885i
\(426\) −2.86011e6 8.80251e6i −0.763587 2.35008i
\(427\) −2.27555e6 + 1.65328e6i −0.603972 + 0.438811i
\(428\) −1.05501e6 −0.278386
\(429\) 796877. 1.07736e6i 0.209049 0.282628i
\(430\) 230121. 0.0600185
\(431\) −557991. + 405404.i −0.144688 + 0.105122i −0.657775 0.753215i \(-0.728502\pi\)
0.513086 + 0.858337i \(0.328502\pi\)
\(432\) −721715. 2.22121e6i −0.186061 0.572638i
\(433\) −1.02133e6 + 3.14332e6i −0.261785 + 0.805691i 0.730632 + 0.682772i \(0.239226\pi\)
−0.992417 + 0.122919i \(0.960774\pi\)
\(434\) −4.96909e6 3.61026e6i −1.26635 0.920055i
\(435\) −2.63741e6 1.91619e6i −0.668273 0.485529i
\(436\) −1.30480e6 + 4.01575e6i −0.328721 + 1.01170i
\(437\) 1.97880e6 + 6.09012e6i 0.495677 + 1.52554i
\(438\) 4.40176e6 3.19807e6i 1.09633 0.796530i
\(439\) 7.13877e6 1.76792 0.883959 0.467564i \(-0.154868\pi\)
0.883959 + 0.467564i \(0.154868\pi\)
\(440\) 467151. + 156206.i 0.115034 + 0.0384649i
\(441\) 1.46539e6 0.358804
\(442\) 495667. 360123.i 0.120680 0.0876789i
\(443\) −1.75678e6 5.40683e6i −0.425314 1.30898i −0.902694 0.430284i \(-0.858414\pi\)
0.477380 0.878697i \(-0.341586\pi\)
\(444\) −550721. + 1.69494e6i −0.132579 + 0.408036i
\(445\) −6.02035e6 4.37404e6i −1.44119 1.04709i
\(446\) −52102.4 37854.6i −0.0124028 0.00901119i
\(447\) 681477. 2.09737e6i 0.161318 0.496485i
\(448\) 1.45938e6 + 4.49150e6i 0.343536 + 1.05729i
\(449\) 2.86753e6 2.08339e6i 0.671263 0.487701i −0.199185 0.979962i \(-0.563829\pi\)
0.870448 + 0.492261i \(0.163829\pi\)
\(450\) 2.34066e6 0.544887
\(451\) 2.74164e6 865022.i 0.634701 0.200256i
\(452\) 1.77153e6 0.407852
\(453\) −6.60104e6 + 4.79594e6i −1.51136 + 1.09806i
\(454\) −578167. 1.77942e6i −0.131648 0.405171i
\(455\) −652526. + 2.00827e6i −0.147764 + 0.454772i
\(456\) 648698. + 471307.i 0.146093 + 0.106143i
\(457\) 1.66201e6 + 1.20752e6i 0.372258 + 0.270461i 0.758147 0.652084i \(-0.226105\pi\)
−0.385889 + 0.922545i \(0.626105\pi\)
\(458\) −884684. + 2.72278e6i −0.197072 + 0.606525i
\(459\) −299810. 922719.i −0.0664223 0.204427i
\(460\) 4.58813e6 3.33347e6i 1.01098 0.734517i
\(461\) −5.77944e6 −1.26658 −0.633291 0.773914i \(-0.718296\pi\)
−0.633291 + 0.773914i \(0.718296\pi\)
\(462\) 5.93165e6 + 8.31245e6i 1.29292 + 1.81186i
\(463\) 4.74214e6 1.02807 0.514034 0.857770i \(-0.328150\pi\)
0.514034 + 0.857770i \(0.328150\pi\)
\(464\) −2.01961e6 + 1.46733e6i −0.435484 + 0.316397i
\(465\) 2.05179e6 + 6.31477e6i 0.440049 + 1.35433i
\(466\) −1.26698e6 + 3.89935e6i −0.270274 + 0.831817i
\(467\) 3.14959e6 + 2.28831e6i 0.668286 + 0.485538i 0.869451 0.494019i \(-0.164473\pi\)
−0.201165 + 0.979557i \(0.564473\pi\)
\(468\) −550492. 399956.i −0.116181 0.0844107i
\(469\) 1.49189e6 4.59157e6i 0.313188 0.963893i
\(470\) 239535. + 737213.i 0.0500178 + 0.153939i
\(471\) −7.69081e6 + 5.58770e6i −1.59742 + 1.16059i
\(472\) −665050. −0.137404
\(473\) 1366.05 160102.i 0.000280746 0.0329036i
\(474\) 1.90726e6 0.389910
\(475\) 4.50666e6 3.27428e6i 0.916475 0.665858i
\(476\) 696579. + 2.14385e6i 0.140914 + 0.433687i
\(477\) 412000. 1.26801e6i 0.0829089 0.255167i
\(478\) −1.14083e6 828863.i −0.228377 0.165925i
\(479\) −826321. 600358.i −0.164555 0.119556i 0.502460 0.864600i \(-0.332428\pi\)
−0.667015 + 0.745044i \(0.732428\pi\)
\(480\) 3.51942e6 1.08317e7i 0.697217 2.14581i
\(481\) 164108. + 505072.i 0.0323420 + 0.0995383i
\(482\) 6.85396e6 4.97969e6i 1.34377 0.976304i
\(483\) −8.37545e6 −1.63358
\(484\) −1.56451e6 + 4.54942e6i −0.303575 + 0.882761i
\(485\) −9.82979e6 −1.89754
\(486\) −5.76266e6 + 4.18682e6i −1.10671 + 0.804069i
\(487\) −211456. 650796.i −0.0404016 0.124343i 0.928821 0.370528i \(-0.120823\pi\)
−0.969223 + 0.246184i \(0.920823\pi\)
\(488\) 87103.6 268077.i 0.0165572 0.0509578i
\(489\) −1.03178e6 749633.i −0.195126 0.141768i
\(490\) −5.17557e6 3.76027e6i −0.973796 0.707504i
\(491\) 2.94765e6 9.07194e6i 0.551789 1.69823i −0.152489 0.988305i \(-0.548729\pi\)
0.704277 0.709925i \(-0.251271\pi\)
\(492\) −1.28077e6 3.94179e6i −0.238538 0.734144i
\(493\) −838971. + 609548.i −0.155464 + 0.112951i
\(494\) −3.35415e6 −0.618393
\(495\) 33173.8 3.88798e6i 0.00608530 0.713200i
\(496\) 5.08441e6 0.927976
\(497\) 8.20939e6 5.96447e6i 1.49080 1.08313i
\(498\) 714191. + 2.19805e6i 0.129045 + 0.397160i
\(499\) −610897. + 1.88015e6i −0.109829 + 0.338019i −0.990833 0.135089i \(-0.956868\pi\)
0.881005 + 0.473108i \(0.156868\pi\)
\(500\) 1.54670e6 + 1.12374e6i 0.276681 + 0.201021i
\(501\) −2.27061e6 1.64969e6i −0.404155 0.293636i
\(502\) −3.56412e6 + 1.09692e7i −0.631238 + 1.94275i
\(503\) −292873. 901371.i −0.0516130 0.158849i 0.921928 0.387362i \(-0.126614\pi\)
−0.973541 + 0.228513i \(0.926614\pi\)
\(504\) −298838. + 217119.i −0.0524035 + 0.0380733i
\(505\) 373537. 0.0651786
\(506\) −4.74717e6 6.65256e6i −0.824250 1.15508i
\(507\) 6.61555e6 1.14300
\(508\) 6.55473e6 4.76229e6i 1.12693 0.818759i
\(509\) 783457. + 2.41123e6i 0.134036 + 0.412520i 0.995439 0.0954024i \(-0.0304138\pi\)
−0.861403 + 0.507922i \(0.830414\pi\)
\(510\) 1.55967e6 4.80016e6i 0.265525 0.817203i
\(511\) 4.82591e6 + 3.50623e6i 0.817575 + 0.594003i
\(512\) −6.58436e6 4.78381e6i −1.11004 0.806491i
\(513\) −1.64133e6 + 5.05149e6i −0.275361 + 0.847473i
\(514\) 2.45642e6 + 7.56007e6i 0.410104 + 1.26217i
\(515\) −3.99616e6 + 2.90338e6i −0.663934 + 0.482376i
\(516\) −230825. −0.0381643
\(517\) 514322. 162275.i 0.0846269 0.0267009i
\(518\) −4.04699e6 −0.662685
\(519\) 3.30853e6 2.40379e6i 0.539158 0.391722i
\(520\) −65391.7 201255.i −0.0106051 0.0326391i
\(521\) −786163. + 2.41956e6i −0.126887 + 0.390519i −0.994240 0.107174i \(-0.965820\pi\)
0.867353 + 0.497694i \(0.165820\pi\)
\(522\) 1.92991e6 + 1.40216e6i 0.310000 + 0.225228i
\(523\) 1.47657e6 + 1.07279e6i 0.236048 + 0.171499i 0.699521 0.714612i \(-0.253397\pi\)
−0.463473 + 0.886111i \(0.653397\pi\)
\(524\) −3.31615e6 + 1.02061e7i −0.527601 + 1.62379i
\(525\) 2.25148e6 + 6.92934e6i 0.356508 + 1.09722i
\(526\) −4.40488e6 + 3.20034e6i −0.694177 + 0.504349i
\(527\) 2.11213e6 0.331279
\(528\) −8.01696e6 2.68070e6i −1.25148 0.418469i
\(529\) 266634. 0.0414263
\(530\) −4.70890e6 + 3.42121e6i −0.728165 + 0.529043i
\(531\) 1.62220e6 + 4.99261e6i 0.249671 + 0.768408i
\(532\) 3.81347e6 1.17367e7i 0.584173 1.79790i
\(533\) −999177. 725945.i −0.152344 0.110684i
\(534\) 1.25077e7 + 9.08737e6i 1.89812 + 1.37907i
\(535\) −800302. + 2.46308e6i −0.120884 + 0.372043i
\(536\) 149507. + 460136.i 0.0224776 + 0.0691789i
\(537\) 1.14076e7 8.28811e6i 1.70710 1.24028i
\(538\) −1.04322e6 −0.155389
\(539\) −2.64685e6 + 3.57847e6i −0.392426 + 0.530549i
\(540\) 4.70404e6 0.694203
\(541\) −6.07892e6 + 4.41659e6i −0.892962 + 0.648775i −0.936649 0.350270i \(-0.886090\pi\)
0.0436864 + 0.999045i \(0.486090\pi\)
\(542\) −2.81319e6 8.65812e6i −0.411340 1.26598i
\(543\) 3.75815e6 1.15664e7i 0.546984 1.68344i
\(544\) −2.93100e6 2.12950e6i −0.424638 0.308517i
\(545\) 8.38557e6 + 6.09247e6i 1.20932 + 0.878623i
\(546\) 1.35567e6 4.17231e6i 0.194613 0.598957i
\(547\) −3.62875e6 1.11681e7i −0.518548 1.59593i −0.776732 0.629831i \(-0.783124\pi\)
0.258184 0.966096i \(-0.416876\pi\)
\(548\) −6.35444e6 + 4.61677e6i −0.903912 + 0.656731i
\(549\) −2.22495e6 −0.315058
\(550\) −4.22779e6 + 5.71586e6i −0.595946 + 0.805703i
\(551\) 5.67726e6 0.796636
\(552\) 679032. 493346.i 0.0948512 0.0689134i
\(553\) 646169. + 1.98870e6i 0.0898531 + 0.276540i
\(554\) 596386. 1.83549e6i 0.0825569 0.254084i
\(555\) 3.53933e6 + 2.57147e6i 0.487740 + 0.354364i
\(556\) 865482. + 628809.i 0.118733 + 0.0862645i
\(557\) 1.16401e6 3.58245e6i 0.158971 0.489263i −0.839570 0.543251i \(-0.817193\pi\)
0.998542 + 0.0539880i \(0.0171933\pi\)
\(558\) −1.50139e6 4.62081e6i −0.204131 0.628250i
\(559\) −55646.4 + 40429.5i −0.00753195 + 0.00547228i
\(560\) 1.33206e7 1.79495
\(561\) −3.33035e6 1.11360e6i −0.446768 0.149390i
\(562\) −1.02774e7 −1.37259
\(563\) 5.45786e6 3.96536e6i 0.725690 0.527245i −0.162507 0.986707i \(-0.551958\pi\)
0.888197 + 0.459463i \(0.151958\pi\)
\(564\) −240267. 739467.i −0.0318051 0.0978860i
\(565\) 1.34383e6 4.13589e6i 0.177102 0.545065i
\(566\) −1.26474e6 918886.i −0.165943 0.120565i
\(567\) −9.95871e6 7.23542e6i −1.30090 0.945162i
\(568\) −314239. + 967129.i −0.0408686 + 0.125781i
\(569\) 2.14422e6 + 6.59922e6i 0.277644 + 0.854500i 0.988508 + 0.151170i \(0.0483042\pi\)
−0.710864 + 0.703330i \(0.751696\pi\)
\(570\) −2.23541e7 + 1.62412e7i −2.88184 + 2.09378i
\(571\) −9.40986e6 −1.20779 −0.603897 0.797062i \(-0.706386\pi\)
−0.603897 + 0.797062i \(0.706386\pi\)
\(572\) 1.97101e6 621878.i 0.251883 0.0794722i
\(573\) −1.18882e7 −1.51262
\(574\) 7.61426e6 5.53208e6i 0.964602 0.700824i
\(575\) −1.80189e6 5.54564e6i −0.227278 0.699491i
\(576\) −1.15441e6 + 3.55290e6i −0.144978 + 0.446197i
\(577\) 3.04535e6 + 2.21258e6i 0.380801 + 0.276668i 0.761675 0.647959i \(-0.224377\pi\)
−0.380875 + 0.924627i \(0.624377\pi\)
\(578\) 7.73654e6 + 5.62093e6i 0.963224 + 0.699823i
\(579\) −4.96659e6 + 1.52856e7i −0.615689 + 1.89490i
\(580\) −1.55374e6 4.78193e6i −0.191783 0.590246i
\(581\) −2.04995e6 + 1.48937e6i −0.251943 + 0.183047i
\(582\) 2.04221e7 2.49915
\(583\) 2.35228e6 + 3.29642e6i 0.286628 + 0.401672i
\(584\) −597787. −0.0725295
\(585\) −1.35134e6 + 981807.i −0.163258 + 0.118614i
\(586\) −1.00626e6 3.09694e6i −0.121050 0.372553i
\(587\) −3.22700e6 + 9.93168e6i −0.386548 + 1.18967i 0.548803 + 0.835952i \(0.315084\pi\)
−0.935351 + 0.353721i \(0.884916\pi\)
\(588\) 5.19139e6 + 3.77177e6i 0.619214 + 0.449885i
\(589\) −9.35467e6 6.79656e6i −1.11107 0.807237i
\(590\) 7.08192e6 2.17959e7i 0.837570 2.57777i
\(591\) −3.45871e6 1.06448e7i −0.407329 1.25363i
\(592\) 2.71026e6 1.96912e6i 0.317839 0.230923i
\(593\) 6.86016e6 0.801120 0.400560 0.916271i \(-0.368816\pi\)
0.400560 + 0.916271i \(0.368816\pi\)
\(594\) 57837.7 6.77861e6i 0.00672582 0.788269i
\(595\) 5.53353e6 0.640781
\(596\) 2.75172e6 1.99924e6i 0.317314 0.230542i
\(597\) −475352. 1.46298e6i −0.0545858 0.167998i
\(598\) −1.08496e6 + 3.33916e6i −0.124068 + 0.381842i
\(599\) 2.45587e6 + 1.78429e6i 0.279665 + 0.203189i 0.718771 0.695247i \(-0.244705\pi\)
−0.439106 + 0.898435i \(0.644705\pi\)
\(600\) −590701. 429170.i −0.0669869 0.0486688i
\(601\) 3.98521e6 1.22652e7i 0.450054 1.38512i −0.426790 0.904351i \(-0.640356\pi\)
0.876844 0.480774i \(-0.159644\pi\)
\(602\) −161975. 498507.i −0.0182161 0.0560634i
\(603\) 3.08962e6 2.24474e6i 0.346028 0.251404i
\(604\) −1.25844e7 −1.40359
\(605\) 9.43449e6 + 7.10364e6i 1.04792 + 0.789029i
\(606\) −776048. −0.0858434
\(607\) −1.43107e7 + 1.03973e7i −1.57648 + 1.14538i −0.655890 + 0.754856i \(0.727707\pi\)
−0.920592 + 0.390525i \(0.872293\pi\)
\(608\) 6.12901e6 + 1.88632e7i 0.672406 + 2.06945i
\(609\) −2.29462e6 + 7.06210e6i −0.250707 + 0.771597i
\(610\) 7.85824e6 + 5.70935e6i 0.855068 + 0.621244i
\(611\) −187442. 136185.i −0.0203125 0.0147579i
\(612\) −551014. + 1.69585e6i −0.0594681 + 0.183024i
\(613\) −5.45654e6 1.67935e7i −0.586497 1.80505i −0.593173 0.805075i \(-0.702125\pi\)
0.00667637 0.999978i \(-0.497875\pi\)
\(614\) 4.87838e6 3.54435e6i 0.522221 0.379416i
\(615\) −1.01742e7 −1.08471
\(616\) 9572.73 1.12193e6i 0.00101645 0.119128i
\(617\) −1.06278e7 −1.12390 −0.561951 0.827170i \(-0.689949\pi\)
−0.561951 + 0.827170i \(0.689949\pi\)
\(618\) 8.30230e6 6.03197e6i 0.874434 0.635314i
\(619\) −559306. 1.72137e6i −0.0586709 0.180571i 0.917426 0.397907i \(-0.130263\pi\)
−0.976097 + 0.217336i \(0.930263\pi\)
\(620\) −3.16454e6 + 9.73946e6i −0.330622 + 1.01755i
\(621\) 4.49799e6 + 3.26798e6i 0.468047 + 0.340056i
\(622\) 9.53980e6 + 6.93107e6i 0.988697 + 0.718330i
\(623\) −5.23787e6 + 1.61205e7i −0.540673 + 1.66402i
\(624\) 1.12221e6 + 3.45381e6i 0.115375 + 0.355089i
\(625\) 9.49083e6 6.89549e6i 0.971861 0.706099i
\(626\) 7.51426e6 0.766391
\(627\) 1.11668e7 + 1.56488e7i 1.13438 + 1.58969i
\(628\) −1.46620e7 −1.48352
\(629\) 1.12588e6 817997.i 0.113466 0.0824376i
\(630\) −3.93346e6 1.21060e7i −0.394842 1.21520i
\(631\) −4.66477e6 + 1.43567e7i −0.466398 + 1.43542i 0.390818 + 0.920468i \(0.372192\pi\)
−0.857216 + 0.514957i \(0.827808\pi\)
\(632\) −169530. 123171.i −0.0168831 0.0122663i
\(633\) 8.68554e6 + 6.31041e6i 0.861564 + 0.625963i
\(634\) 1.99414e6 6.13733e6i 0.197030 0.606396i
\(635\) −6.14601e6 1.89155e7i −0.604866 1.86159i
\(636\) 4.72329e6 3.43167e6i 0.463022 0.336406i
\(637\) 1.91216e6 0.186713
\(638\) −6.90995e6 + 2.18018e6i −0.672084 + 0.212051i
\(639\) 8.02686e6 0.777666
\(640\) −2.02916e6 + 1.47427e6i −0.195825 + 0.142275i
\(641\) 259308. + 798067.i 0.0249270 + 0.0767175i 0.962746 0.270407i \(-0.0871582\pi\)
−0.937819 + 0.347124i \(0.887158\pi\)
\(642\) 1.66268e6 5.11721e6i 0.159210 0.489999i
\(643\) −9.95423e6 7.23217e6i −0.949467 0.689828i 0.00121342 0.999999i \(-0.499614\pi\)
−0.950681 + 0.310171i \(0.899614\pi\)
\(644\) −1.04507e7 7.59285e6i −0.992953 0.721423i
\(645\) −175097. + 538893.i −0.0165722 + 0.0510039i
\(646\) 2.71613e6 + 8.35940e6i 0.256077 + 0.788123i
\(647\) −5.92951e6 + 4.30804e6i −0.556876 + 0.404594i −0.830314 0.557296i \(-0.811839\pi\)
0.273439 + 0.961889i \(0.411839\pi\)
\(648\) 1.23359e6 0.115407
\(649\) −1.51220e7 5.05648e6i −1.40928 0.471234i
\(650\) 3.05427e6 0.283547
\(651\) 1.22354e7 8.88951e6i 1.13153 0.822101i
\(652\) −607842. 1.87074e6i −0.0559979 0.172344i
\(653\) 5.51856e6 1.69844e7i 0.506457 1.55871i −0.291851 0.956464i \(-0.594271\pi\)
0.798307 0.602250i \(-0.205729\pi\)
\(654\) −1.74216e7 1.26575e7i −1.59273 1.15719i
\(655\) 2.13120e7 + 1.54841e7i 1.94098 + 1.41020i
\(656\) −2.40754e6 + 7.40965e6i −0.218431 + 0.672262i
\(657\) 1.45813e6 + 4.48766e6i 0.131790 + 0.405608i
\(658\) 1.42841e6 1.03780e6i 0.128614 0.0934434i
\(659\) 2.63581e6 0.236429 0.118215 0.992988i \(-0.462283\pi\)
0.118215 + 0.992988i \(0.462283\pi\)
\(660\) 1.01248e7 1.36884e7i 0.904745 1.22319i
\(661\) 1.63578e7 1.45620 0.728100 0.685471i \(-0.240403\pi\)
0.728100 + 0.685471i \(0.240403\pi\)
\(662\) −2.23900e7 + 1.62673e7i −1.98568 + 1.44268i
\(663\) 466181. + 1.43476e6i 0.0411880 + 0.126764i
\(664\) 78467.9 241499.i 0.00690672 0.0212567i
\(665\) −2.45081e7 1.78062e7i −2.14909 1.56141i
\(666\) −2.58989e6 1.88167e6i −0.226254 0.164383i
\(667\) 1.83641e6 5.65189e6i 0.159829 0.491902i
\(668\) −1.33766e6 4.11689e6i −0.115986 0.356967i
\(669\) 128291. 93209.2i 0.0110824 0.00805181i
\(670\) −1.66722e7 −1.43485
\(671\) 4.01880e6 5.43331e6i 0.344580 0.465863i
\(672\) −2.59416e7 −2.21602
\(673\) 3.30858e6 2.40383e6i 0.281582 0.204581i −0.438025 0.898963i \(-0.644322\pi\)
0.719607 + 0.694382i \(0.244322\pi\)
\(674\) −1.08239e6 3.33124e6i −0.0917768 0.282460i
\(675\) 1.49459e6 4.59986e6i 0.126259 0.388585i
\(676\) 8.25471e6 + 5.99740e6i 0.694760 + 0.504773i
\(677\) −9.89407e6 7.18846e6i −0.829666 0.602788i 0.0897989 0.995960i \(-0.471378\pi\)
−0.919465 + 0.393172i \(0.871378\pi\)
\(678\) −2.79190e6 + 8.59260e6i −0.233253 + 0.717877i
\(679\) 6.91887e6 + 2.12941e7i 0.575918 + 1.77249i
\(680\) −448626. + 325946.i −0.0372059 + 0.0270317i
\(681\) 4.60692e6 0.380665
\(682\) 1.39958e7 + 4.67991e6i 1.15223 + 0.385280i
\(683\) 1.91987e7 1.57478 0.787391 0.616454i \(-0.211431\pi\)
0.787391 + 0.616454i \(0.211431\pi\)
\(684\) 7.89746e6 5.73784e6i 0.645427 0.468930i
\(685\) 5.95822e6 + 1.83375e7i 0.485166 + 1.49319i
\(686\) 2.32061e6 7.14210e6i 0.188275 0.579450i
\(687\) −5.70300e6 4.14347e6i −0.461011 0.334944i
\(688\) 351030. + 255038.i 0.0282730 + 0.0205416i
\(689\) 537610. 1.65459e6i 0.0431439 0.132783i
\(690\) 8.93778e6 + 2.75076e7i 0.714672 + 2.19953i
\(691\) 5.35884e6 3.89342e6i 0.426948 0.310196i −0.353479 0.935442i \(-0.615001\pi\)
0.780428 + 0.625246i \(0.215001\pi\)
\(692\) 6.30747e6 0.500714
\(693\) −8.44581e6 + 2.66476e6i −0.668049 + 0.210778i
\(694\) 1.95928e7 1.54418
\(695\) 2.12458e6 1.54359e6i 0.166844 0.121219i
\(696\) −229951. 707715.i −0.0179933 0.0553778i
\(697\) −1.00012e6 + 3.07807e6i −0.0779780 + 0.239992i
\(698\) 2.86065e7 + 2.07838e7i 2.22242 + 1.61468i
\(699\) −8.16740e6 5.93396e6i −0.632253 0.459359i
\(700\) −3.47253e6 + 1.06873e7i −0.267856 + 0.824375i
\(701\) 992573. + 3.05482e6i 0.0762899 + 0.234796i 0.981928 0.189256i \(-0.0606074\pi\)
−0.905638 + 0.424052i \(0.860607\pi\)
\(702\) −2.35603e6 + 1.71176e6i −0.180442 + 0.131099i
\(703\) −7.61874e6 −0.581427
\(704\) −6.59100e6 9.23644e6i −0.501210 0.702382i
\(705\) −1.90865e6 −0.144628
\(706\) −1.11183e7 + 8.07794e6i −0.839513 + 0.609942i
\(707\) −262920. 809185.i −0.0197822 0.0608835i
\(708\) −7.10357e6 + 2.18625e7i −0.532590 + 1.63914i
\(709\) 591691. + 429889.i 0.0442058 + 0.0321174i 0.609669 0.792656i \(-0.291302\pi\)
−0.565463 + 0.824774i \(0.691302\pi\)
\(710\) −2.83498e7 2.05973e7i −2.11059 1.53343i
\(711\) −511138. + 1.57312e6i −0.0379196 + 0.116705i
\(712\) −524904. 1.61549e6i −0.0388043 0.119427i
\(713\) −9.79211e6 + 7.11439e6i −0.721361 + 0.524099i
\(714\) −1.14963e7 −0.843940
\(715\) 43287.7 5.07334e6i 0.00316665 0.371133i
\(716\) 2.17478e7 1.58538
\(717\) 2.80906e6 2.04090e6i 0.204063 0.148260i
\(718\) −1.05988e7 3.26197e7i −0.767264 2.36140i
\(719\) 1.15550e6 3.55626e6i 0.0833579 0.256549i −0.900687 0.434468i \(-0.856936\pi\)
0.984045 + 0.177919i \(0.0569364\pi\)
\(720\) 8.52456e6 + 6.19345e6i 0.612831 + 0.445248i
\(721\) 9.10230e6 + 6.61321e6i 0.652098 + 0.473777i
\(722\) 8.85103e6 2.72407e7i 0.631904 1.94480i
\(723\) 6.44624e6 + 1.98395e7i 0.458628 + 1.41151i
\(724\) 1.51750e7 1.10253e7i 1.07592 0.781704i
\(725\) −5.16969e6 −0.365275
\(726\) −1.96008e7 1.47583e7i −1.38017 1.03919i
\(727\) −1.55643e7 −1.09218 −0.546088 0.837728i \(-0.683884\pi\)
−0.546088 + 0.837728i \(0.683884\pi\)
\(728\) −389947. + 283313.i −0.0272695 + 0.0198125i
\(729\) 114240. + 351595.i 0.00796160 + 0.0245033i
\(730\) 6.36566e6 1.95915e7i 0.442116 1.36069i
\(731\) 145822. + 105946.i 0.0100932 + 0.00733316i
\(732\) −7.88226e6 5.72680e6i −0.543717 0.395034i
\(733\) 5.76528e6 1.77437e7i 0.396334 1.21979i −0.531585 0.847005i \(-0.678403\pi\)
0.927918 0.372784i \(-0.121597\pi\)
\(734\) 7.86742e6 + 2.42134e7i 0.539005 + 1.65889i
\(735\) 1.27438e7 9.25889e6i 0.870121 0.632180i
\(736\) 2.07614e7 1.41274
\(737\) −98970.1 + 1.15993e7i −0.00671174 + 0.786619i
\(738\) 7.44496e6 0.503178
\(739\) −1.76021e7 + 1.27887e7i −1.18564 + 0.861419i −0.992797 0.119810i \(-0.961771\pi\)
−0.192845 + 0.981229i \(0.561771\pi\)
\(740\) 2.08508e6 + 6.41723e6i 0.139973 + 0.430793i
\(741\) 2.55214e6 7.85468e6i 0.170749 0.525512i
\(742\) 1.07257e7 + 7.79271e6i 0.715184 + 0.519612i
\(743\) −2.16453e7 1.57262e7i −1.43844 1.04509i −0.988366 0.152097i \(-0.951397\pi\)
−0.450075 0.892991i \(-0.648603\pi\)
\(744\) −468345. + 1.44142e6i −0.0310194 + 0.0954680i
\(745\) −2.58014e6 7.94086e6i −0.170315 0.524175i
\(746\) −2.42809e7 + 1.76411e7i −1.59742 + 1.16059i
\(747\) −2.00437e6 −0.131424
\(748\) −3.14597e6 4.40868e6i −0.205589 0.288107i
\(749\) 5.89902e6 0.384216
\(750\) −7.88813e6 + 5.73106e6i −0.512060 + 0.372034i
\(751\) 387453. + 1.19246e6i 0.0250680 + 0.0771513i 0.962808 0.270187i \(-0.0870855\pi\)
−0.937740 + 0.347338i \(0.887086\pi\)
\(752\) −451646. + 1.39002e6i −0.0291242 + 0.0896351i
\(753\) −2.29756e7 1.66928e7i −1.47666 1.07285i
\(754\) 2.51830e6 + 1.82965e6i 0.161317 + 0.117203i
\(755\) −9.54617e6 + 2.93801e7i −0.609483 + 1.87580i
\(756\) −3.31102e6 1.01903e7i −0.210696 0.648457i
\(757\) −893821. + 649399.i −0.0566906 + 0.0411881i −0.615770 0.787926i \(-0.711155\pi\)
0.559079 + 0.829114i \(0.311155\pi\)
\(758\) −2.31757e7 −1.46507
\(759\) 1.91909e7 6.05497e6i 1.20918 0.381512i
\(760\) 3.03583e6 0.190653
\(761\) 1.64027e7 1.19173e7i 1.02672 0.745959i 0.0590736 0.998254i \(-0.481185\pi\)
0.967650 + 0.252295i \(0.0811853\pi\)
\(762\) 1.27688e7 + 3.92982e7i 0.796638 + 2.45180i
\(763\) 7.29568e6 2.24538e7i 0.453685 1.39630i
\(764\) −1.48338e7 1.07774e7i −0.919429 0.668004i
\(765\) 3.54121e6 + 2.57284e6i 0.218775 + 0.158950i
\(766\) −3.08335e6 + 9.48959e6i −0.189868 + 0.584353i
\(767\) 2.11677e6 + 6.51475e6i 0.129923 + 0.399861i
\(768\) 1.83930e7 1.33633e7i 1.12525 0.817542i
\(769\) 1.22086e7 0.744475 0.372237 0.928138i \(-0.378591\pi\)
0.372237 + 0.928138i \(0.378591\pi\)
\(770\) 3.66674e7 + 1.22608e7i 2.22871 + 0.745233i
\(771\) −1.95731e7 −1.18583
\(772\) −2.00545e7 + 1.45704e7i −1.21107 + 0.879891i
\(773\) 3.44879e6 + 1.06143e7i 0.207596 + 0.638914i 0.999597 + 0.0283941i \(0.00903935\pi\)
−0.792001 + 0.610520i \(0.790961\pi\)
\(774\) 128127. 394333.i 0.00768753 0.0236598i
\(775\) 8.51832e6 + 6.18892e6i 0.509448 + 0.370135i
\(776\) −1.81524e6 1.31885e6i −0.108213 0.0786216i
\(777\) 3.07931e6 9.47716e6i 0.182979 0.563152i
\(778\) −570492. 1.75579e6i −0.0337910 0.103998i
\(779\) 1.43344e7 1.04145e7i 0.846322 0.614889i
\(780\) −7.31442e6 −0.430471
\(781\) −1.44984e7 + 1.96015e7i −0.850538 + 1.14990i
\(782\) 9.20062e6 0.538022
\(783\) 3.98784e6 2.89734e6i 0.232452 0.168886i
\(784\) −3.72746e6 1.14719e7i −0.216582 0.666571i
\(785\) −1.11221e7 + 3.42304e7i −0.644191 + 1.98262i
\(786\) −4.42771e7 3.21692e7i −2.55636 1.85731i
\(787\) 9.60832e6 + 6.98086e6i 0.552982 + 0.401765i 0.828884 0.559421i \(-0.188976\pi\)
−0.275902 + 0.961186i \(0.588976\pi\)
\(788\) 5.33448e6 1.64178e7i 0.306039 0.941891i
\(789\) −4.14285e6 1.27504e7i −0.236923 0.729173i
\(790\) 5.84198e6 4.24445e6i 0.333037 0.241966i
\(791\) −9.90538e6 −0.562898
\(792\) 527772. 713533.i 0.0298974 0.0404205i
\(793\) −2.90329e6 −0.163949
\(794\) 3.45385e7 2.50937e7i 1.94425 1.41258i
\(795\) −4.42878e6 1.36304e7i −0.248523 0.764874i
\(796\) 733151. 2.25641e6i 0.0410120 0.126222i
\(797\) 2.40104e7 + 1.74446e7i 1.33892 + 0.972781i 0.999483 + 0.0321520i \(0.0102361\pi\)
0.339436 + 0.940629i \(0.389764\pi\)
\(798\) 5.09172e7 + 3.69935e7i 2.83046 + 2.05645i
\(799\) −187620. + 577434.i −0.0103971 + 0.0319989i
\(800\) −5.58105e6 1.71767e7i −0.308312 0.948888i
\(801\) −1.08473e7 + 7.88104e6i −0.597367 + 0.434012i
\(802\) −1.18113e6 −0.0648427
\(803\) −1.35926e7 4.54507e6i −0.743896 0.248743i
\(804\) 1.67232e7 0.912387
\(805\) −2.56542e7 + 1.86388e7i −1.39530 + 1.01375i
\(806\) −1.95913e6 6.02959e6i −0.106225 0.326926i
\(807\) 793776. 2.44299e6i 0.0429056 0.132050i
\(808\) 68980.1 + 50117.0i 0.00371703 + 0.00270058i
\(809\) 1.42224e7 + 1.03332e7i 0.764017 + 0.555091i 0.900140 0.435601i \(-0.143464\pi\)
−0.136123 + 0.990692i \(0.543464\pi\)
\(810\) −1.31361e7 + 4.04288e7i −0.703484 + 2.16510i
\(811\) −1.68232e6 5.17766e6i −0.0898168 0.276428i 0.896051 0.443950i \(-0.146423\pi\)
−0.985868 + 0.167522i \(0.946423\pi\)
\(812\) −9.26537e6 + 6.73169e6i −0.493143 + 0.358289i
\(813\) 2.24159e7 1.18941
\(814\) 9.27298e6 2.92574e6i 0.490522 0.154766i
\(815\) −4.82861e6 −0.254641
\(816\) 7.69904e6 5.59368e6i 0.404772 0.294084i
\(817\) −304929. 938474.i −0.0159824 0.0491889i
\(818\) −6.83607e6 + 2.10393e7i −0.357210 + 1.09938i
\(819\) 3.07803e6 + 2.23632e6i 0.160348 + 0.116500i
\(820\) −1.26951e7 9.22355e6i −0.659329 0.479031i
\(821\) 4.69029e6 1.44352e7i 0.242852 0.747422i −0.753130 0.657871i \(-0.771457\pi\)
0.995982 0.0895502i \(-0.0285430\pi\)
\(822\) −1.23786e7 3.80974e7i −0.638987 1.96660i
\(823\) 27134.1 19714.1i 0.00139642 0.00101456i −0.587087 0.809524i \(-0.699725\pi\)
0.588483 + 0.808509i \(0.299725\pi\)
\(824\) −1.12750e6 −0.0578496
\(825\) −1.01684e7 1.42497e7i −0.520137 0.728905i
\(826\) −5.22008e7 −2.66211
\(827\) −3.18016e6 + 2.31052e6i −0.161691 + 0.117475i −0.665688 0.746230i \(-0.731862\pi\)
0.503998 + 0.863705i \(0.331862\pi\)
\(828\) −3.15762e6 9.71817e6i −0.160061 0.492616i
\(829\) −9.59666e6 + 2.95355e7i −0.484991 + 1.49265i 0.347002 + 0.937864i \(0.387200\pi\)
−0.831993 + 0.554785i \(0.812800\pi\)
\(830\) 7.07916e6 + 5.14331e6i 0.356686 + 0.259148i
\(831\) 3.84453e6 + 2.79321e6i 0.193126 + 0.140314i
\(832\) −1.50636e6 + 4.63610e6i −0.0754433 + 0.232191i
\(833\) −1.54843e6 4.76559e6i −0.0773179 0.237960i
\(834\) −4.41395e6 + 3.20692e6i −0.219742 + 0.159652i
\(835\) −1.06262e7 −0.527425
\(836\) −252981. + 2.96494e7i −0.0125191 + 1.46724i
\(837\) −1.00395e7 −0.495335
\(838\) 2.86589e7 2.08219e7i 1.40977 1.02426i
\(839\) −5.45493e6 1.67885e7i −0.267537 0.823394i −0.991098 0.133134i \(-0.957496\pi\)
0.723561 0.690260i \(-0.242504\pi\)
\(840\) −1.22701e6 + 3.77634e6i −0.0599997 + 0.184660i
\(841\) 1.23314e7 + 8.95927e6i 0.601203 + 0.436800i
\(842\) −1.74603e7 1.26857e7i −0.848736 0.616643i
\(843\) 7.81996e6 2.40674e7i 0.378997 1.16643i
\(844\) 5.11681e6 + 1.57479e7i 0.247254 + 0.760969i
\(845\) 2.02636e7 1.47223e7i 0.976279 0.709308i
\(846\) 1.39665e6 0.0670905
\(847\) 8.74786e6 2.54378e7i 0.418980 1.21835i
\(848\) −1.09747e7 −0.524085
\(849\) 3.11415e6 2.26257e6i 0.148276 0.107729i
\(850\) −2.47330e6 7.61203e6i −0.117417 0.361371i
\(851\) −2.46441e6 + 7.58469e6i −0.116651 + 0.359016i
\(852\) 2.84365e7 + 2.06603e7i 1.34207 + 0.975074i
\(853\) −2.20539e7 1.60231e7i −1.03780 0.754003i −0.0679421 0.997689i \(-0.521643\pi\)
−0.969854 + 0.243686i \(0.921643\pi\)
\(854\) 6.83689e6 2.10418e7i 0.320785 0.987274i
\(855\) −7.40502e6 2.27903e7i −0.346427 1.06619i
\(856\) −478258. + 347475.i −0.0223089 + 0.0162083i
\(857\) 2.11835e7 0.985248 0.492624 0.870242i \(-0.336038\pi\)
0.492624 + 0.870242i \(0.336038\pi\)
\(858\) −89933.2 + 1.05402e7i −0.00417063 + 0.488800i
\(859\) −651618. −0.0301308 −0.0150654 0.999887i \(-0.504796\pi\)
−0.0150654 + 0.999887i \(0.504796\pi\)
\(860\) −707020. + 513680.i −0.0325976 + 0.0236835i
\(861\) 7.16131e6 + 2.20402e7i 0.329219 + 1.01323i
\(862\) 1.67648e6 5.15968e6i 0.0768477 0.236513i
\(863\) −7.41391e6 5.38652e6i −0.338860 0.246196i 0.405321 0.914175i \(-0.367160\pi\)
−0.744181 + 0.667978i \(0.767160\pi\)
\(864\) 1.39318e7 + 1.01220e7i 0.634926 + 0.461301i
\(865\) 4.78466e6 1.47257e7i 0.217426 0.669168i
\(866\) −8.03362e6 2.47250e7i −0.364013 1.12032i
\(867\) −1.90496e7 + 1.38404e7i −0.860674 + 0.625317i
\(868\) 2.33258e7 1.05084
\(869\) −2.91830e6 4.08963e6i −0.131094 0.183711i
\(870\) 2.56429e7 1.14860
\(871\) 4.03157e6 2.92911e6i 0.180065 0.130825i
\(872\) 731123. + 2.25016e6i 0.0325611 + 0.100213i
\(873\) −5.47302e6 + 1.68442e7i −0.243048 + 0.748024i
\(874\) −4.07497e7 2.96064e7i −1.80445 1.31101i
\(875\) −8.64823e6 6.28331e6i −0.381863 0.277439i
\(876\) −6.38512e6 + 1.96514e7i −0.281131 + 0.865232i
\(877\) 7.43000e6 + 2.28672e7i 0.326204 + 1.00395i 0.970894 + 0.239509i \(0.0769865\pi\)
−0.644690 + 0.764444i \(0.723014\pi\)
\(878\) −4.54285e7 + 3.30057e7i −1.98881 + 1.44495i
\(879\) 8.01799e6 0.350021
\(880\) −3.05218e7 + 9.63000e6i −1.32863 + 0.419198i
\(881\) −4.64205e6 −0.201498 −0.100749 0.994912i \(-0.532124\pi\)
−0.100749 + 0.994912i \(0.532124\pi\)
\(882\) −9.32521e6 + 6.77516e6i −0.403633 + 0.293257i
\(883\) 642034. + 1.97598e6i 0.0277112 + 0.0852864i 0.963956 0.266063i \(-0.0857229\pi\)
−0.936244 + 0.351349i \(0.885723\pi\)
\(884\) −719005. + 2.21287e6i −0.0309458 + 0.0952413i
\(885\) 4.56527e7 + 3.31686e7i 1.95933 + 1.42354i
\(886\) 3.61777e7 + 2.62846e7i 1.54831 + 1.12491i
\(887\) −5.21179e6 + 1.60402e7i −0.222422 + 0.684545i 0.776121 + 0.630584i \(0.217185\pi\)
−0.998543 + 0.0539606i \(0.982815\pi\)
\(888\) 308588. + 949736.i 0.0131325 + 0.0404176i
\(889\) −3.66503e7 + 2.66280e7i −1.55533 + 1.13001i
\(890\) 5.85344e7 2.47706
\(891\) 2.80495e7 + 9.37915e6i 1.18367 + 0.395794i
\(892\) 244578. 0.0102921
\(893\) 2.68908e6 1.95373e6i 0.112843 0.0819853i
\(894\) 5.36042e6 + 1.64977e7i 0.224313 + 0.690365i
\(895\) 1.64972e7 5.07733e7i 0.688420 2.11874i
\(896\) 4.62195e6 + 3.35805e6i 0.192334 + 0.139739i
\(897\) −6.99403e6 5.08146e6i −0.290233 0.210867i
\(898\) −8.61550e6 + 2.65158e7i −0.356525 + 1.09727i
\(899\) 3.31605e6 + 1.02057e7i 0.136843 + 0.421158i
\(900\) −7.19139e6 + 5.22485e6i −0.295942 + 0.215015i
\(901\) −4.55902e6 −0.187094
\(902\) −1.34474e7 + 1.81805e7i −0.550328 + 0.744028i
\(903\) 1.29064e6 0.0526726
\(904\) 803070. 583465.i 0.0326838 0.0237462i
\(905\) −1.42287e7 4.37916e7i −0.577491 1.77733i
\(906\) 1.98328e7 6.10391e7i 0.802720 2.47052i
\(907\) 1.91896e7 + 1.39421e7i 0.774548 + 0.562742i 0.903338 0.428930i \(-0.141109\pi\)
−0.128790 + 0.991672i \(0.541109\pi\)
\(908\) 5.74839e6 + 4.17645e6i 0.231383 + 0.168110i
\(909\) 207977. 640088.i 0.00834846 0.0256939i
\(910\) −5.13269e6 1.57968e7i −0.205467 0.632362i
\(911\) 2.08554e7 1.51523e7i 0.832574 0.604900i −0.0877125 0.996146i \(-0.527956\pi\)
0.920286 + 0.391245i \(0.127956\pi\)
\(912\) −5.20989e7 −2.07416
\(913\) 3.62037e6 4.89464e6i 0.143739 0.194332i
\(914\) −1.61594e7 −0.639822
\(915\) −1.93493e7 + 1.40581e7i −0.764034 + 0.555103i
\(916\) −3.35974e6 1.03402e7i −0.132302 0.407184i
\(917\) 1.85420e7 5.70664e7i 0.728171 2.24108i
\(918\) 6.17402e6 + 4.48569e6i 0.241803 + 0.175680i
\(919\) 2.81835e7 + 2.04765e7i 1.10080 + 0.799775i 0.981190 0.193046i \(-0.0618367\pi\)
0.119606 + 0.992821i \(0.461837\pi\)
\(920\) 981990. 3.02226e6i 0.0382505 0.117723i
\(921\) 4.58818e6 + 1.41210e7i 0.178234 + 0.548549i
\(922\) 3.67782e7 2.67209e7i 1.42483 1.03520i
\(923\) 1.04741e7 0.404679
\(924\) −3.67795e7 1.22983e7i −1.41718 0.473876i
\(925\) 6.93759e6 0.266596
\(926\) −3.01772e7 + 2.19250e7i −1.15652 + 0.840258i
\(927\) 2.75022e6 + 8.46432e6i 0.105116 + 0.323514i
\(928\) 5.68798e6 1.75058e7i 0.216814 0.667286i
\(929\) −2.22970e7 1.61997e7i −0.847630 0.615840i 0.0768613 0.997042i \(-0.475510\pi\)
−0.924492 + 0.381202i \(0.875510\pi\)
\(930\) −4.22528e7 3.06985e7i −1.60195 1.16388i
\(931\) −8.47701e6 + 2.60895e7i −0.320530 + 0.986489i
\(932\) −4.81156e6 1.48085e7i −0.181446 0.558432i
\(933\) −2.34898e7 + 1.70663e7i −0.883435 + 0.641853i
\(934\) −3.06227e7 −1.14862
\(935\) −1.26791e7 + 4.00042e6i −0.474308 + 0.149650i
\(936\) −381277. −0.0142250
\(937\) 1.71930e7 1.24915e7i 0.639740 0.464799i −0.220021 0.975495i \(-0.570612\pi\)
0.859761 + 0.510697i \(0.170612\pi\)
\(938\) 1.17350e7 + 3.61167e7i 0.435489 + 1.34030i
\(939\) −5.71753e6 + 1.75967e7i −0.211614 + 0.651281i
\(940\) −2.38156e6 1.73031e6i −0.0879108 0.0638709i
\(941\) −7.68824e6 5.58583e6i −0.283043 0.205643i 0.437200 0.899364i \(-0.355970\pi\)
−0.720244 + 0.693721i \(0.755970\pi\)
\(942\) 2.31070e7 7.11161e7i 0.848431 2.61120i
\(943\) −5.73128e6 1.76391e7i −0.209881 0.645947i
\(944\) 3.49588e7 2.53990e7i 1.27681 0.927656i
\(945\) −2.63023e7 −0.958107
\(946\) 731529. + 1.02514e6i 0.0265769 + 0.0372441i
\(947\) 2.28091e7 0.826483 0.413241 0.910621i \(-0.364397\pi\)
0.413241 + 0.910621i \(0.364397\pi\)
\(948\) −5.85984e6 + 4.25742e6i −0.211770 + 0.153860i
\(949\) 1.90268e6 + 5.85585e6i 0.0685805 + 0.211069i
\(950\) −1.35403e7 + 4.16726e7i −0.486763 + 1.49810i
\(951\) 1.28550e7 + 9.33967e6i 0.460913 + 0.334873i
\(952\) 1.02186e6 + 742427.i 0.0365427 + 0.0265498i
\(953\) −7.87271e6 + 2.42297e7i −0.280797 + 0.864203i 0.706831 + 0.707383i \(0.250124\pi\)
−0.987627 + 0.156820i \(0.949876\pi\)
\(954\) 3.24074e6 + 9.97398e6i 0.115285 + 0.354811i
\(955\) −3.64138e7 + 2.64562e7i −1.29199 + 0.938682i
\(956\) 5.35527e6 0.189512
\(957\) 152222. 1.78405e7i 0.00537275 0.629689i
\(958\) 8.03412e6 0.282830
\(959\) 3.55304e7 2.58143e7i 1.24754 0.906389i
\(960\) 1.24093e7 + 3.81918e7i 0.434578 + 1.33749i
\(961\) −2.09303e6 + 6.44169e6i −0.0731085 + 0.225005i
\(962\) −3.37949e6 2.45534e6i −0.117737 0.0855411i
\(963\) 3.77511e6 + 2.74278e6i 0.131179 + 0.0953070i
\(964\) −9.94223e6 + 3.05990e7i −0.344581 + 1.06051i
\(965\) 1.88040e7 + 5.78727e7i 0.650027 + 2.00058i
\(966\) 5.32983e7 3.87234e7i 1.83768 1.33515i
\(967\) −5.21847e7 −1.79464 −0.897319 0.441384i \(-0.854488\pi\)
−0.897319 + 0.441384i \(0.854488\pi\)
\(968\) 789156. + 2.57763e6i 0.0270691 + 0.0884162i
\(969\) −2.16426e7 −0.740456
\(970\) 6.25531e7 4.54475e7i 2.13462 1.55089i
\(971\) −2.43016e6 7.47927e6i −0.0827156 0.254572i 0.901142 0.433523i \(-0.142730\pi\)
−0.983858 + 0.178951i \(0.942730\pi\)
\(972\) 8.35921e6 2.57270e7i 0.283792 0.873421i
\(973\) −4.83928e6 3.51594e6i −0.163870 0.119058i
\(974\) 4.35455e6 + 3.16377e6i 0.147077 + 0.106858i
\(975\) −2.32397e6 + 7.15243e6i −0.0782922 + 0.240959i
\(976\) 5.65952e6 + 1.74182e7i 0.190176 + 0.585301i
\(977\) −2.35608e7 + 1.71179e7i −0.789686 + 0.573740i −0.907870 0.419251i \(-0.862293\pi\)
0.118184 + 0.992992i \(0.462293\pi\)
\(978\) 1.00318e7 0.335375
\(979\) 347474. 4.07241e7i 0.0115868 1.35798i
\(980\) 2.42951e7 0.808077
\(981\) 1.51089e7 1.09773e7i 0.501257 0.364184i
\(982\) 2.31859e7 + 7.13588e7i 0.767264 + 2.36140i
\(983\) −1.34998e7 + 4.15482e7i −0.445599 + 1.37141i 0.436226 + 0.899837i \(0.356315\pi\)
−0.881825 + 0.471576i \(0.843685\pi\)
\(984\) −1.87885e6 1.36507e6i −0.0618592 0.0449434i
\(985\) −3.42832e7 2.49082e7i −1.12588 0.817998i
\(986\) 2.52069e6 7.75787e6i 0.0825708 0.254127i
\(987\) 1.34344e6 + 4.13467e6i 0.0438959 + 0.135098i
\(988\) 1.03052e7 7.48718e6i 0.335865 0.244020i
\(989\) −1.03291e6 −0.0335794
\(990\) 1.77648e7 + 2.48951e7i 0.576065 + 0.807282i
\(991\) −9.05087e6 −0.292756 −0.146378 0.989229i \(-0.546762\pi\)
−0.146378 + 0.989229i \(0.546762\pi\)
\(992\) −3.03295e7 + 2.20357e7i −0.978556 + 0.710963i
\(993\) −2.10581e7 6.48101e7i −0.677712 2.08578i
\(994\) −2.46651e7 + 7.59114e7i −0.791803 + 2.43692i
\(995\) −4.71176e6 3.42329e6i −0.150878 0.109619i
\(996\) −7.10080e6 5.15903e6i −0.226808 0.164786i
\(997\) 1.46475e6 4.50803e6i 0.0466686 0.143631i −0.925007 0.379950i \(-0.875941\pi\)
0.971675 + 0.236319i \(0.0759411\pi\)
\(998\) −4.80524e6 1.47890e7i −0.152717 0.470016i
\(999\) −5.35159e6 + 3.88815e6i −0.169656 + 0.123262i
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 \(a_p\))

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 11.6.c.a.3.1 16
3.2 odd 2 99.6.f.a.91.4 16
11.2 odd 10 121.6.a.i.1.2 8
11.4 even 5 inner 11.6.c.a.4.1 yes 16
11.9 even 5 121.6.a.g.1.7 8
33.2 even 10 1089.6.a.bb.1.7 8
33.20 odd 10 1089.6.a.bg.1.2 8
33.26 odd 10 99.6.f.a.37.4 16
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
11.6.c.a.3.1 16 1.1 even 1 trivial
11.6.c.a.4.1 yes 16 11.4 even 5 inner
99.6.f.a.37.4 16 33.26 odd 10
99.6.f.a.91.4 16 3.2 odd 2
121.6.a.g.1.7 8 11.9 even 5
121.6.a.i.1.2 8 11.2 odd 10
1089.6.a.bb.1.7 8 33.2 even 10
1089.6.a.bg.1.2 8 33.20 odd 10