Properties

Label 43.10.g.a.9.3
Level 43
Weight 10
Character 43.9
Analytic conductor 22.147
Analytic rank 0
Dimension 384
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 10 \)
Character orbit: \([\chi]\) \(=\) 43.g (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(22.1465409550\)
Analytic rank: \(0\)
Dimension: \(384\)
Relative dimension: \(32\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 9.3
Character \(\chi\) \(=\) 43.9
Dual form 43.10.g.a.24.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-24.7402 - 31.0232i) q^{2} +(98.3493 + 14.8238i) q^{3} +(-236.433 + 1035.88i) q^{4} +(1493.82 + 1018.47i) q^{5} +(-1973.30 - 3417.86i) q^{6} +(2565.02 - 4442.74i) q^{7} +(19681.4 - 9478.07i) q^{8} +(-9355.69 - 2885.85i) q^{9} +O(q^{10})\) \(q+(-24.7402 - 31.0232i) q^{2} +(98.3493 + 14.8238i) q^{3} +(-236.433 + 1035.88i) q^{4} +(1493.82 + 1018.47i) q^{5} +(-1973.30 - 3417.86i) q^{6} +(2565.02 - 4442.74i) q^{7} +(19681.4 - 9478.07i) q^{8} +(-9355.69 - 2885.85i) q^{9} +(-5361.22 - 71540.5i) q^{10} +(14278.8 + 62559.5i) q^{11} +(-38608.7 + 98373.2i) q^{12} +(-3960.40 + 52847.9i) q^{13} +(-201287. + 30339.2i) q^{14} +(131819. + 122310. i) q^{15} +(-290827. - 140055. i) q^{16} +(-480196. + 327392. i) q^{17} +(141933. + 361640. i) q^{18} +(-291988. + 90066.5i) q^{19} +(-1.40820e6 + 1.30662e6i) q^{20} +(318126. - 398917. i) q^{21} +(1.58754e6 - 1.99071e6i) q^{22} +(25984.6 - 24110.2i) q^{23} +(2.07615e6 - 640409. i) q^{24} +(480668. + 1.22472e6i) q^{25} +(1.73749e6 - 1.18460e6i) q^{26} +(-2.64115e6 - 1.27191e6i) q^{27} +(3.99569e6 + 3.70746e6i) q^{28} +(-11109.6 + 1674.50i) q^{29} +(533228. - 7.11543e6i) q^{30} +(-2.80639e6 + 7.15055e6i) q^{31} +(361375. + 1.58329e6i) q^{32} +(476942. + 6.36435e6i) q^{33} +(2.20369e7 + 6.79749e6i) q^{34} +(8.35649e6 - 4.02427e6i) q^{35} +(5.20138e6 - 9.00906e6i) q^{36} +(2.86709e6 + 4.96595e6i) q^{37} +(1.00180e7 + 6.83016e6i) q^{38} +(-1.17291e6 + 5.13885e6i) q^{39} +(3.90537e7 + 5.88640e6i) q^{40} +(1.77715e7 + 2.22848e7i) q^{41} -2.02462e7 q^{42} +(-1.35031e7 - 1.78958e7i) q^{43} -6.81801e7 q^{44} +(-1.10366e7 - 1.38395e7i) q^{45} +(-1.39084e6 - 209636. i) q^{46} +(7.73861e6 - 3.39050e7i) q^{47} +(-2.65265e7 - 1.80854e7i) q^{48} +(7.01818e6 + 1.21558e7i) q^{49} +(2.61030e7 - 4.52118e7i) q^{50} +(-5.20801e7 + 2.50805e7i) q^{51} +(-5.38077e7 - 1.65975e7i) q^{52} +(928222. + 1.23863e7i) q^{53} +(2.58838e7 + 1.13404e8i) q^{54} +(-4.23851e7 + 1.07995e8i) q^{55} +(8.37456e6 - 1.11751e8i) q^{56} +(-3.00520e7 + 4.52961e6i) q^{57} +(326802. + 303228. i) q^{58} +(4.55542e6 + 2.19377e6i) q^{59} +(-1.57865e8 + 1.07630e8i) q^{60} +(-1.35802e7 - 3.46018e7i) q^{61} +(2.91264e8 - 8.98430e7i) q^{62} +(-3.68186e7 + 3.41627e7i) q^{63} +(-6.28660e7 + 7.88314e7i) q^{64} +(-5.97402e7 + 7.49119e7i) q^{65} +(1.85643e8 - 1.72252e8i) q^{66} +(1.90447e8 - 5.87452e7i) q^{67} +(-2.25605e8 - 5.74831e8i) q^{68} +(2.91297e6 - 1.98603e6i) q^{69} +(-3.31587e8 - 1.59684e8i) q^{70} +(3.01361e8 + 2.79622e8i) q^{71} +(-2.11485e8 + 3.18763e7i) q^{72} +(-2.93180e7 + 3.91222e8i) q^{73} +(8.31273e7 - 2.11805e8i) q^{74} +(2.91184e7 + 1.27576e8i) q^{75} +(-2.42624e7 - 3.23760e8i) q^{76} +(3.14561e8 + 9.70292e7i) q^{77} +(1.88442e8 - 9.07487e7i) q^{78} +(-1.98059e7 + 3.43049e7i) q^{79} +(-2.91802e8 - 5.05416e8i) q^{80} +(-8.16768e7 - 5.56863e7i) q^{81} +(2.51675e8 - 1.10266e9i) q^{82} +(-1.39704e8 - 2.10569e7i) q^{83} +(3.38015e8 + 4.23857e8i) q^{84} -1.05077e9 q^{85} +(-2.21117e8 + 8.61655e8i) q^{86} -1.11744e6 q^{87} +(8.73970e8 + 1.09592e9i) q^{88} +(4.55856e8 + 6.87093e7i) q^{89} +(-1.56297e8 + 6.84782e8i) q^{90} +(2.24631e8 + 1.53151e8i) q^{91} +(1.88317e7 + 3.26174e7i) q^{92} +(-3.82004e8 + 6.61651e8i) q^{93} +(-1.24330e9 + 5.98741e8i) q^{94} +(-5.27910e8 - 1.62839e8i) q^{95} +(1.20707e7 + 1.61072e8i) q^{96} +(6.24141e7 + 2.73454e8i) q^{97} +(2.03482e8 - 5.18465e8i) q^{98} +(4.69492e7 - 6.26494e8i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 384q + 56q^{2} - 321q^{3} - 16052q^{4} - 695q^{5} + 1274q^{6} + 32650q^{7} - 50022q^{8} + 373611q^{9} + O(q^{10}) \) \( 384q + 56q^{2} - 321q^{3} - 16052q^{4} - 695q^{5} + 1274q^{6} + 32650q^{7} - 50022q^{8} + 373611q^{9} + 6223q^{10} + 180668q^{11} - 270774q^{12} + 11245q^{13} - 271206q^{14} - 835123q^{15} - 6169448q^{16} - 65194q^{17} - 466218q^{18} - 1417919q^{19} + 5877261q^{20} + 3242929q^{21} - 4296822q^{22} - 2544899q^{23} - 6043976q^{24} + 9428207q^{25} - 11482629q^{26} + 20117988q^{27} + 7310292q^{28} - 5289921q^{29} + 23977480q^{30} - 47539873q^{31} + 18747558q^{32} - 68064193q^{33} - 73743233q^{34} - 15006505q^{35} - 203628199q^{36} + 62563960q^{37} + 108303102q^{38} + 70931426q^{39} + 14772713q^{40} - 35636128q^{41} + 29601006q^{42} - 207110915q^{43} + 367809332q^{44} + 122079484q^{45} + 164249271q^{46} + 25529106q^{47} + 191670995q^{48} - 815972056q^{49} - 210640197q^{50} - 392161947q^{51} - 873472922q^{52} + 87568125q^{53} + 627150582q^{54} + 628156420q^{55} + 725546751q^{56} - 402646583q^{57} - 677654606q^{58} + 552834314q^{59} + 990764675q^{60} + 376844345q^{61} + 76529685q^{62} - 505887225q^{63} + 621236102q^{64} + 8885906q^{65} + 895281647q^{66} + 789662056q^{67} - 2265959151q^{68} - 2055955619q^{69} + 3236566615q^{70} + 635670789q^{71} - 1964730073q^{72} + 1333013552q^{73} - 5184014638q^{74} + 720042326q^{75} + 477329288q^{76} + 2282266995q^{77} + 5133145036q^{78} + 2903853142q^{79} + 6779574014q^{80} + 3699743739q^{81} - 1268184088q^{82} - 3074947634q^{83} - 1313116801q^{84} + 1946616146q^{85} - 10088814540q^{86} - 6085081326q^{87} - 8012630430q^{88} - 1632065068q^{89} + 3316166089q^{90} + 5386571784q^{91} + 2280339030q^{92} + 2459095364q^{93} - 5048567488q^{94} - 1597173221q^{95} - 10288936616q^{96} - 4337315288q^{97} - 14989446392q^{98} - 5338096561q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −24.7402 31.0232i −1.09337 1.37105i −0.922610 0.385734i \(-0.873948\pi\)
−0.170763 0.985312i \(-0.554623\pi\)
\(3\) 98.3493 + 14.8238i 0.701013 + 0.105661i 0.489871 0.871795i \(-0.337044\pi\)
0.211141 + 0.977456i \(0.432282\pi\)
\(4\) −236.433 + 1035.88i −0.461783 + 2.02320i
\(5\) 1493.82 + 1018.47i 1.06889 + 0.728759i 0.964048 0.265729i \(-0.0856127\pi\)
0.104846 + 0.994489i \(0.466565\pi\)
\(6\) −1973.30 3417.86i −0.621603 1.07665i
\(7\) 2565.02 4442.74i 0.403784 0.699374i −0.590395 0.807114i \(-0.701028\pi\)
0.994179 + 0.107740i \(0.0343614\pi\)
\(8\) 19681.4 9478.07i 1.69884 0.818116i
\(9\) −9355.69 2885.85i −0.475318 0.146616i
\(10\) −5361.22 71540.5i −0.169537 2.26231i
\(11\) 14278.8 + 62559.5i 0.294052 + 1.28833i 0.878830 + 0.477134i \(0.158325\pi\)
−0.584778 + 0.811193i \(0.698818\pi\)
\(12\) −38608.7 + 98373.2i −0.537488 + 1.36950i
\(13\) −3960.40 + 52847.9i −0.0384587 + 0.513195i 0.944396 + 0.328811i \(0.106648\pi\)
−0.982854 + 0.184384i \(0.940971\pi\)
\(14\) −201287. + 30339.2i −1.40036 + 0.211070i
\(15\) 131819. + 122310.i 0.672307 + 0.623809i
\(16\) −290827. 140055.i −1.10942 0.534266i
\(17\) −480196. + 327392.i −1.39444 + 0.950710i −0.394948 + 0.918704i \(0.629237\pi\)
−0.999488 + 0.0320063i \(0.989810\pi\)
\(18\) 141933. + 361640.i 0.318683 + 0.811990i
\(19\) −291988. + 90066.5i −0.514013 + 0.158552i −0.540901 0.841086i \(-0.681917\pi\)
0.0268875 + 0.999638i \(0.491440\pi\)
\(20\) −1.40820e6 + 1.30662e6i −1.96802 + 1.82606i
\(21\) 318126. 398917.i 0.356954 0.447606i
\(22\) 1.58754e6 1.99071e6i 1.44485 1.81178i
\(23\) 25984.6 24110.2i 0.0193616 0.0179649i −0.670433 0.741970i \(-0.733891\pi\)
0.689794 + 0.724005i \(0.257701\pi\)
\(24\) 2.07615e6 640409.i 1.27735 0.394010i
\(25\) 480668. + 1.22472e6i 0.246102 + 0.627058i
\(26\) 1.73749e6 1.18460e6i 0.745664 0.508385i
\(27\) −2.64115e6 1.27191e6i −0.956437 0.460596i
\(28\) 3.99569e6 + 3.70746e6i 1.22852 + 1.13990i
\(29\) −11109.6 + 1674.50i −0.00291681 + 0.000439638i −0.150501 0.988610i \(-0.548089\pi\)
0.147584 + 0.989050i \(0.452850\pi\)
\(30\) 533228. 7.11543e6i 0.120190 1.60382i
\(31\) −2.80639e6 + 7.15055e6i −0.545783 + 1.39063i 0.346029 + 0.938224i \(0.387530\pi\)
−0.891811 + 0.452408i \(0.850565\pi\)
\(32\) 361375. + 1.58329e6i 0.0609233 + 0.266923i
\(33\) 476942. + 6.36435e6i 0.0700089 + 0.934204i
\(34\) 2.20369e7 + 6.79749e6i 2.82811 + 0.872355i
\(35\) 8.35649e6 4.02427e6i 0.941278 0.453295i
\(36\) 5.20138e6 9.00906e6i 0.516128 0.893960i
\(37\) 2.86709e6 + 4.96595e6i 0.251498 + 0.435607i 0.963938 0.266126i \(-0.0857436\pi\)
−0.712441 + 0.701732i \(0.752410\pi\)
\(38\) 1.00180e7 + 6.83016e6i 0.779391 + 0.531380i
\(39\) −1.17291e6 + 5.13885e6i −0.0811845 + 0.355693i
\(40\) 3.90537e7 + 5.88640e6i 2.41208 + 0.363563i
\(41\) 1.77715e7 + 2.22848e7i 0.982195 + 1.23163i 0.972793 + 0.231678i \(0.0744215\pi\)
0.00940256 + 0.999956i \(0.497007\pi\)
\(42\) −2.02462e7 −1.00397
\(43\) −1.35031e7 1.78958e7i −0.602316 0.798258i
\(44\) −6.81801e7 −2.74234
\(45\) −1.10366e7 1.38395e7i −0.401217 0.503110i
\(46\) −1.39084e6 209636.i −0.0458002 0.00690327i
\(47\) 7.73861e6 3.39050e7i 0.231325 1.01350i −0.717217 0.696850i \(-0.754584\pi\)
0.948542 0.316651i \(-0.102558\pi\)
\(48\) −2.65265e7 1.80854e7i −0.721263 0.491749i
\(49\) 7.01818e6 + 1.21558e7i 0.173917 + 0.301233i
\(50\) 2.61030e7 4.52118e7i 0.590644 1.02303i
\(51\) −5.20801e7 + 2.50805e7i −1.07797 + 0.519123i
\(52\) −5.38077e7 1.65975e7i −1.02054 0.314794i
\(53\) 928222. + 1.23863e7i 0.0161588 + 0.215625i 0.999438 + 0.0335203i \(0.0106719\pi\)
−0.983279 + 0.182104i \(0.941709\pi\)
\(54\) 2.58838e7 + 1.13404e8i 0.414244 + 1.81492i
\(55\) −4.23851e7 + 1.07995e8i −0.624570 + 1.59138i
\(56\) 8.37456e6 1.11751e8i 0.113793 1.51846i
\(57\) −3.00520e7 + 4.52961e6i −0.377083 + 0.0568361i
\(58\) 326802. + 303228.i 0.00379192 + 0.00351839i
\(59\) 4.55542e6 + 2.19377e6i 0.0489434 + 0.0235699i 0.458195 0.888852i \(-0.348496\pi\)
−0.409252 + 0.912421i \(0.634210\pi\)
\(60\) −1.57865e8 + 1.07630e8i −1.57255 + 1.07215i
\(61\) −1.35802e7 3.46018e7i −0.125580 0.319974i 0.854232 0.519892i \(-0.174028\pi\)
−0.979813 + 0.199918i \(0.935932\pi\)
\(62\) 2.91264e8 8.98430e7i 2.50336 0.772186i
\(63\) −3.68186e7 + 3.41627e7i −0.294466 + 0.273224i
\(64\) −6.28660e7 + 7.88314e7i −0.468388 + 0.587340i
\(65\) −5.97402e7 + 7.49119e7i −0.415104 + 0.520524i
\(66\) 1.85643e8 1.72252e8i 1.20429 1.11742i
\(67\) 1.90447e8 5.87452e7i 1.15462 0.356153i 0.342427 0.939544i \(-0.388751\pi\)
0.812191 + 0.583392i \(0.198275\pi\)
\(68\) −2.25605e8 5.74831e8i −1.27955 3.26025i
\(69\) 2.91297e6 1.98603e6i 0.0154709 0.0105479i
\(70\) −3.31587e8 1.59684e8i −1.65066 0.794914i
\(71\) 3.01361e8 + 2.79622e8i 1.40742 + 1.30590i 0.894218 + 0.447631i \(0.147732\pi\)
0.513204 + 0.858267i \(0.328458\pi\)
\(72\) −2.11485e8 + 3.18763e7i −0.927437 + 0.139789i
\(73\) −2.93180e7 + 3.91222e8i −0.120832 + 1.61239i 0.526495 + 0.850179i \(0.323506\pi\)
−0.647327 + 0.762213i \(0.724113\pi\)
\(74\) 8.31273e7 2.11805e8i 0.322256 0.821095i
\(75\) 2.91184e7 + 1.27576e8i 0.106265 + 0.465579i
\(76\) −2.42624e7 3.23760e8i −0.0834205 1.11317i
\(77\) 3.14561e8 + 9.70292e7i 1.01976 + 0.314553i
\(78\) 1.88442e8 9.07487e7i 0.576436 0.277597i
\(79\) −1.98059e7 + 3.43049e7i −0.0572102 + 0.0990909i −0.893212 0.449636i \(-0.851554\pi\)
0.836002 + 0.548727i \(0.184887\pi\)
\(80\) −2.91802e8 5.05416e8i −0.796495 1.37957i
\(81\) −8.16768e7 5.56863e7i −0.210822 0.143736i
\(82\) 2.51675e8 1.10266e9i 0.614721 2.69327i
\(83\) −1.39704e8 2.10569e7i −0.323114 0.0487016i −0.0145176 0.999895i \(-0.504621\pi\)
−0.308597 + 0.951193i \(0.599859\pi\)
\(84\) 3.38015e8 + 4.23857e8i 0.740763 + 0.928887i
\(85\) −1.05077e9 −2.18334
\(86\) −2.21117e8 + 8.61655e8i −0.435893 + 1.69860i
\(87\) −1.11744e6 −0.00209117
\(88\) 8.73970e8 + 1.09592e9i 1.55355 + 1.94809i
\(89\) 4.55856e8 + 6.87093e7i 0.770146 + 0.116081i 0.522350 0.852731i \(-0.325056\pi\)
0.247796 + 0.968812i \(0.420294\pi\)
\(90\) −1.56297e8 + 6.84782e8i −0.251107 + 1.10017i
\(91\) 2.24631e8 + 1.53151e8i 0.343386 + 0.234117i
\(92\) 1.88317e7 + 3.26174e7i 0.0274058 + 0.0474683i
\(93\) −3.82004e8 + 6.61651e8i −0.529536 + 0.917182i
\(94\) −1.24330e9 + 5.98741e8i −1.64248 + 0.790977i
\(95\) −5.27910e8 1.62839e8i −0.664972 0.205117i
\(96\) 1.20707e7 + 1.61072e8i 0.0145048 + 0.193553i
\(97\) 6.24141e7 + 2.73454e8i 0.0715830 + 0.313626i 0.998025 0.0628108i \(-0.0200065\pi\)
−0.926442 + 0.376436i \(0.877149\pi\)
\(98\) 2.03482e8 5.18465e8i 0.222848 0.567808i
\(99\) 4.69492e7 6.26494e8i 0.0491213 0.655479i
\(100\) −1.38231e9 + 2.08350e8i −1.38231 + 0.208350i
\(101\) −1.30196e9 1.20805e9i −1.24495 1.15515i −0.981703 0.190419i \(-0.939015\pi\)
−0.263249 0.964728i \(-0.584794\pi\)
\(102\) 2.06655e9 + 9.95199e8i 1.89036 + 0.910351i
\(103\) 6.50350e8 4.43401e8i 0.569350 0.388177i −0.244153 0.969737i \(-0.578510\pi\)
0.813503 + 0.581560i \(0.197558\pi\)
\(104\) 4.22949e8 + 1.07766e9i 0.354518 + 0.903297i
\(105\) 8.81510e8 2.71910e8i 0.707743 0.218310i
\(106\) 3.61297e8 3.35235e8i 0.277964 0.257913i
\(107\) 9.36743e8 1.17464e9i 0.690865 0.866318i −0.305439 0.952212i \(-0.598803\pi\)
0.996304 + 0.0858939i \(0.0273746\pi\)
\(108\) 1.94200e9 2.43519e9i 1.37354 1.72237i
\(109\) −1.57183e9 + 1.45844e9i −1.06656 + 0.989622i −0.999967 0.00815796i \(-0.997403\pi\)
−0.0665925 + 0.997780i \(0.521213\pi\)
\(110\) 4.39899e9 1.35691e9i 2.86474 0.883656i
\(111\) 2.08362e8 + 5.30899e8i 0.130276 + 0.331939i
\(112\) −1.36820e9 + 9.32824e8i −0.821616 + 0.560169i
\(113\) −6.27056e8 3.01974e8i −0.361787 0.174228i 0.244155 0.969736i \(-0.421489\pi\)
−0.605942 + 0.795509i \(0.707204\pi\)
\(114\) 8.84016e8 + 8.20247e8i 0.490217 + 0.454855i
\(115\) 6.33720e7 9.55179e6i 0.0337876 0.00509266i
\(116\) 892090. 1.19041e7i 0.000457454 0.00610431i
\(117\) 1.89563e8 4.82999e8i 0.0935229 0.238292i
\(118\) −4.46440e7 1.95598e8i −0.0211980 0.0928744i
\(119\) 2.22807e8 + 2.97315e9i 0.101851 + 1.35911i
\(120\) 3.75365e9 + 1.15785e9i 1.65249 + 0.509725i
\(121\) −1.58537e9 + 7.63475e8i −0.672353 + 0.323788i
\(122\) −7.37482e8 + 1.27736e9i −0.301392 + 0.522027i
\(123\) 1.41747e9 + 2.45514e9i 0.558396 + 0.967170i
\(124\) −6.74359e9 4.59770e9i −2.56150 1.74640i
\(125\) 2.56457e8 1.12361e9i 0.0939549 0.411643i
\(126\) 1.97074e9 + 2.97041e8i 0.696564 + 0.104990i
\(127\) −3.27637e9 4.10844e9i −1.11757 1.40139i −0.905608 0.424115i \(-0.860585\pi\)
−0.211965 0.977277i \(-0.567986\pi\)
\(128\) 4.83241e9 1.59118
\(129\) −1.06273e9 1.96021e9i −0.337886 0.623230i
\(130\) 3.80199e9 1.16753
\(131\) 2.70084e9 + 3.38675e9i 0.801269 + 1.00476i 0.999696 + 0.0246441i \(0.00784526\pi\)
−0.198427 + 0.980116i \(0.563583\pi\)
\(132\) −6.70547e9 1.01069e9i −1.92241 0.289757i
\(133\) −3.48813e8 + 1.52825e9i −0.0966631 + 0.423509i
\(134\) −6.53417e9 4.45493e9i −1.75073 1.19363i
\(135\) −2.65001e9 4.58995e9i −0.686666 1.18934i
\(136\) −6.34789e9 + 1.09949e10i −1.59112 + 2.75591i
\(137\) 1.60110e9 7.71050e8i 0.388308 0.186999i −0.229536 0.973300i \(-0.573721\pi\)
0.617844 + 0.786301i \(0.288006\pi\)
\(138\) −1.33681e8 4.12351e7i −0.0313771 0.00967856i
\(139\) −3.95182e7 5.27334e8i −0.00897905 0.119817i 0.990913 0.134504i \(-0.0429440\pi\)
−0.999892 + 0.0146866i \(0.995325\pi\)
\(140\) 2.19291e9 + 9.60779e9i 0.482443 + 2.11372i
\(141\) 1.26369e9 3.21982e9i 0.269249 0.686035i
\(142\) 1.21905e9 1.62671e10i 0.251608 3.35747i
\(143\) −3.36269e9 + 5.06844e8i −0.672472 + 0.101359i
\(144\) 2.31671e9 + 2.14959e9i 0.448993 + 0.416605i
\(145\) −1.83012e7 8.81340e6i −0.00343814 0.00165572i
\(146\) 1.28623e10 8.76937e9i 2.34278 1.59728i
\(147\) 5.10038e8 + 1.29955e9i 0.0900895 + 0.229544i
\(148\) −5.82200e9 + 1.79585e9i −0.997457 + 0.307675i
\(149\) −4.53808e9 + 4.21073e9i −0.754283 + 0.699872i −0.960391 0.278657i \(-0.910111\pi\)
0.206108 + 0.978529i \(0.433920\pi\)
\(150\) 3.23743e9 4.05960e9i 0.522143 0.654746i
\(151\) −4.20600e9 + 5.27415e9i −0.658374 + 0.825575i −0.993165 0.116718i \(-0.962763\pi\)
0.334791 + 0.942292i \(0.391334\pi\)
\(152\) −4.89309e9 + 4.54012e9i −0.743510 + 0.689877i
\(153\) 5.43737e9 1.67721e9i 0.802190 0.247443i
\(154\) −4.77215e9 1.21592e10i −0.683708 1.74206i
\(155\) −1.14749e10 + 7.82344e9i −1.59682 + 1.08869i
\(156\) −5.04591e9 2.42998e9i −0.682148 0.328505i
\(157\) −7.33210e9 6.80319e9i −0.963118 0.893643i 0.0312618 0.999511i \(-0.490047\pi\)
−0.994380 + 0.105868i \(0.966238\pi\)
\(158\) 1.55425e9 2.34266e8i 0.198410 0.0299055i
\(159\) −9.23212e7 + 1.23194e9i −0.0114555 + 0.152863i
\(160\) −1.07270e9 + 2.73321e9i −0.129402 + 0.329710i
\(161\) −4.04644e7 1.77286e8i −0.00474631 0.0207950i
\(162\) 2.93132e8 + 3.91157e9i 0.0334384 + 0.446204i
\(163\) 5.26310e9 + 1.62345e9i 0.583979 + 0.180134i 0.572647 0.819802i \(-0.305917\pi\)
0.0113322 + 0.999936i \(0.496393\pi\)
\(164\) −2.72862e10 + 1.31403e10i −2.94540 + 1.41843i
\(165\) −5.76945e9 + 9.99298e9i −0.605978 + 1.04958i
\(166\) 2.80304e9 + 4.85501e9i 0.286512 + 0.496254i
\(167\) −9.51639e9 6.48816e9i −0.946778 0.645502i −0.0116950 0.999932i \(-0.503723\pi\)
−0.935083 + 0.354429i \(0.884675\pi\)
\(168\) 2.48020e9 1.08665e10i 0.240212 1.05244i
\(169\) 7.70884e9 + 1.16192e9i 0.726941 + 0.109569i
\(170\) 2.59962e10 + 3.25982e10i 2.38721 + 2.99346i
\(171\) 2.99167e9 0.267566
\(172\) 2.17305e10 9.75639e9i 1.89318 0.849985i
\(173\) 1.98861e10 1.68788 0.843939 0.536439i \(-0.180231\pi\)
0.843939 + 0.536439i \(0.180231\pi\)
\(174\) 2.76458e7 + 3.46667e7i 0.00228643 + 0.00286709i
\(175\) 6.67405e9 + 1.00595e9i 0.537920 + 0.0810784i
\(176\) 4.60910e9 2.01938e10i 0.362084 1.58639i
\(177\) 4.15502e8 + 2.83285e8i 0.0318195 + 0.0216942i
\(178\) −9.14639e9 1.58420e10i −0.682904 1.18283i
\(179\) 3.16056e9 5.47426e9i 0.230105 0.398553i −0.727734 0.685860i \(-0.759426\pi\)
0.957839 + 0.287306i \(0.0927597\pi\)
\(180\) 1.69454e10 8.16049e9i 1.20317 0.579415i
\(181\) 7.11774e9 + 2.19553e9i 0.492934 + 0.152050i 0.531249 0.847216i \(-0.321723\pi\)
−0.0383151 + 0.999266i \(0.512199\pi\)
\(182\) −8.06183e8 1.07578e10i −0.0544643 0.726776i
\(183\) −8.22674e8 3.60437e9i −0.0542248 0.237574i
\(184\) 2.82896e8 7.20807e8i 0.0181948 0.0463595i
\(185\) −7.74749e8 + 1.03383e10i −0.0486282 + 0.648898i
\(186\) 2.99774e10 4.51837e9i 1.83648 0.276805i
\(187\) −2.73381e10 2.53661e10i −1.63486 1.51693i
\(188\) 3.32919e10 + 1.60325e10i 1.94369 + 0.936034i
\(189\) −1.24254e10 + 8.47148e9i −0.708323 + 0.482926i
\(190\) 8.00881e9 + 2.04061e10i 0.445838 + 1.13598i
\(191\) 2.83163e10 8.73441e9i 1.53952 0.474879i 0.595110 0.803644i \(-0.297109\pi\)
0.944412 + 0.328765i \(0.106632\pi\)
\(192\) −7.35141e9 + 6.82111e9i −0.390405 + 0.362243i
\(193\) −3.90897e9 + 4.90170e9i −0.202794 + 0.254295i −0.872820 0.488042i \(-0.837711\pi\)
0.670026 + 0.742337i \(0.266283\pi\)
\(194\) 6.93929e9 8.70160e9i 0.351728 0.441053i
\(195\) −6.98589e9 + 6.48196e9i −0.345992 + 0.321034i
\(196\) −1.42513e10 + 4.39595e9i −0.689767 + 0.212765i
\(197\) 1.35906e9 + 3.46284e9i 0.0642897 + 0.163808i 0.959408 0.282020i \(-0.0910046\pi\)
−0.895119 + 0.445828i \(0.852909\pi\)
\(198\) −2.05974e10 + 1.40431e10i −0.952400 + 0.649335i
\(199\) −1.20668e10 5.81108e9i −0.545449 0.262674i 0.140804 0.990038i \(-0.455031\pi\)
−0.686253 + 0.727363i \(0.740746\pi\)
\(200\) 2.10682e10 + 1.95485e10i 0.931093 + 0.863928i
\(201\) 1.96012e10 2.95441e9i 0.847033 0.127670i
\(202\) −5.26664e9 + 7.02784e10i −0.222563 + 2.96989i
\(203\) −2.10569e7 + 5.36522e7i −0.000870288 + 0.00221746i
\(204\) −1.36669e10 5.98786e10i −0.552503 2.42067i
\(205\) 3.85110e9 + 5.13894e10i 0.152297 + 2.03227i
\(206\) −2.98455e10 9.20613e9i −1.15472 0.356184i
\(207\) −3.12682e8 + 1.50580e8i −0.0118369 + 0.00570034i
\(208\) 8.55338e9 1.48149e10i 0.316849 0.548799i
\(209\) −9.80376e9 1.69806e10i −0.355414 0.615595i
\(210\) −3.02443e10 2.06202e10i −1.07314 0.731654i
\(211\) −7.06565e9 + 3.09566e10i −0.245404 + 1.07518i 0.690612 + 0.723225i \(0.257341\pi\)
−0.936016 + 0.351958i \(0.885516\pi\)
\(212\) −1.30501e10 1.96699e9i −0.443715 0.0668792i
\(213\) 2.54936e10 + 3.19680e10i 0.848639 + 1.06416i
\(214\) −5.96163e10 −1.94314
\(215\) −1.94481e9 4.04857e10i −0.0620733 1.29220i
\(216\) −6.40369e10 −2.00165
\(217\) 2.45696e10 + 3.08093e10i 0.752194 + 0.943221i
\(218\) 8.41328e10 + 1.26810e10i 2.52297 + 0.380276i
\(219\) −8.68280e9 + 3.80418e10i −0.255071 + 1.11754i
\(220\) −1.01849e11 6.94395e10i −2.93126 1.99850i
\(221\) −1.54002e10 2.66739e10i −0.434272 0.752180i
\(222\) 1.13153e10 1.95986e10i 0.312663 0.541548i
\(223\) −2.94588e10 + 1.41866e10i −0.797705 + 0.384155i −0.787905 0.615797i \(-0.788834\pi\)
−0.00980069 + 0.999952i \(0.503120\pi\)
\(224\) 7.96107e9 + 2.45567e9i 0.211279 + 0.0651708i
\(225\) −9.62619e8 1.28453e10i −0.0250399 0.334135i
\(226\) 6.14528e9 + 2.69242e10i 0.156694 + 0.686523i
\(227\) −9.42595e9 + 2.40169e10i −0.235618 + 0.600345i −0.998957 0.0456525i \(-0.985463\pi\)
0.763339 + 0.645998i \(0.223559\pi\)
\(228\) 2.41315e9 3.22012e10i 0.0591394 0.789160i
\(229\) 2.80874e10 4.23349e9i 0.674919 0.101728i 0.197365 0.980330i \(-0.436762\pi\)
0.477554 + 0.878602i \(0.341524\pi\)
\(230\) −1.86416e9 1.72969e9i −0.0439247 0.0407562i
\(231\) 2.94985e10 + 1.42057e10i 0.681627 + 0.328254i
\(232\) −2.02782e8 + 1.38254e8i −0.00459550 + 0.00313316i
\(233\) −3.14600e10 8.01589e10i −0.699291 1.78176i −0.619563 0.784947i \(-0.712690\pi\)
−0.0797276 0.996817i \(-0.525405\pi\)
\(234\) −1.96740e10 + 6.06864e9i −0.428965 + 0.132318i
\(235\) 4.60914e10 4.27666e10i 0.985859 0.914744i
\(236\) −3.34954e9 + 4.20019e9i −0.0702879 + 0.0881383i
\(237\) −2.45643e9 + 3.08026e9i −0.0505751 + 0.0634191i
\(238\) 8.67245e10 8.04686e10i 1.75205 1.62566i
\(239\) −1.72070e9 + 5.30766e8i −0.0341126 + 0.0105223i −0.311765 0.950159i \(-0.600920\pi\)
0.277652 + 0.960682i \(0.410444\pi\)
\(240\) −2.12064e10 5.40329e10i −0.412587 1.05125i
\(241\) −1.74358e10 + 1.18875e10i −0.332939 + 0.226994i −0.718237 0.695798i \(-0.755051\pi\)
0.385299 + 0.922792i \(0.374098\pi\)
\(242\) 6.29079e10 + 3.02949e10i 1.17906 + 0.567806i
\(243\) 3.50896e10 + 3.25584e10i 0.645581 + 0.599011i
\(244\) 3.90541e10 5.88645e9i 0.705362 0.106316i
\(245\) −1.89646e9 + 2.53065e10i −0.0336276 + 0.448730i
\(246\) 4.10977e10 1.04715e11i 0.715500 1.82306i
\(247\) −3.60343e9 1.57877e10i −0.0615999 0.269887i
\(248\) 1.25398e10 + 1.67332e11i 0.210503 + 2.80897i
\(249\) −1.34276e10 4.14187e9i −0.221361 0.0682809i
\(250\) −4.12028e10 + 1.98422e10i −0.667110 + 0.321263i
\(251\) 4.58049e10 7.93364e10i 0.728417 1.26165i −0.229136 0.973395i \(-0.573590\pi\)
0.957552 0.288260i \(-0.0930768\pi\)
\(252\) −2.66833e10 4.62168e10i −0.416809 0.721934i
\(253\) 1.87935e9 + 1.28132e9i 0.0288380 + 0.0196614i
\(254\) −4.63990e10 + 2.03287e11i −0.699450 + 3.06449i
\(255\) −1.03342e11 1.55763e10i −1.53055 0.230693i
\(256\) −8.73676e10 1.09555e11i −1.27137 1.59424i
\(257\) 5.95882e10 0.852043 0.426021 0.904713i \(-0.359915\pi\)
0.426021 + 0.904713i \(0.359915\pi\)
\(258\) −3.45197e10 + 8.14654e10i −0.485041 + 1.14468i
\(259\) 2.94166e10 0.406203
\(260\) −6.34751e10 7.95953e10i −0.861437 1.08021i
\(261\) 1.08770e8 + 1.63945e7i 0.00145087 + 0.000218683i
\(262\) 3.82485e10 1.67578e11i 0.501486 2.19715i
\(263\) −2.73660e10 1.86578e10i −0.352704 0.240470i 0.373987 0.927434i \(-0.377990\pi\)
−0.726691 + 0.686964i \(0.758943\pi\)
\(264\) 6.97087e10 + 1.20739e11i 0.883221 + 1.52978i
\(265\) −1.12285e10 + 1.94483e10i −0.139866 + 0.242256i
\(266\) 5.60410e10 2.69879e10i 0.686339 0.330523i
\(267\) 4.38146e10 + 1.35150e10i 0.527617 + 0.162748i
\(268\) 1.58250e10 + 2.11170e11i 0.187386 + 2.50049i
\(269\) −2.10534e10 9.22410e10i −0.245153 1.07409i −0.936253 0.351326i \(-0.885731\pi\)
0.691100 0.722759i \(-0.257126\pi\)
\(270\) −7.68334e10 + 1.95768e11i −0.879859 + 2.24184i
\(271\) 1.09482e10 1.46094e11i 0.123305 1.64539i −0.501894 0.864929i \(-0.667363\pi\)
0.625199 0.780465i \(-0.285018\pi\)
\(272\) 1.85507e11 2.79606e10i 2.05494 0.309732i
\(273\) 1.98220e10 + 1.83922e10i 0.215981 + 0.200401i
\(274\) −6.35321e10 3.05954e10i −0.680951 0.327929i
\(275\) −6.97547e10 + 4.75579e10i −0.735489 + 0.501448i
\(276\) 1.36857e9 + 3.48705e9i 0.0141963 + 0.0361716i
\(277\) −4.05233e10 + 1.24998e10i −0.413567 + 0.127568i −0.494554 0.869147i \(-0.664669\pi\)
0.0809877 + 0.996715i \(0.474193\pi\)
\(278\) −1.53819e10 + 1.42723e10i −0.154457 + 0.143315i
\(279\) 4.68911e10 5.87996e10i 0.463310 0.580972i
\(280\) 1.26325e11 1.58407e11i 1.22823 1.54015i
\(281\) −7.54329e10 + 6.99915e10i −0.721742 + 0.669679i −0.952916 0.303233i \(-0.901934\pi\)
0.231174 + 0.972912i \(0.425743\pi\)
\(282\) −1.31153e11 + 4.04554e10i −1.23497 + 0.380939i
\(283\) 5.41639e10 + 1.38007e11i 0.501962 + 1.27898i 0.927427 + 0.374003i \(0.122015\pi\)
−0.425466 + 0.904975i \(0.639890\pi\)
\(284\) −3.60907e11 + 2.46062e11i −3.29202 + 2.24446i
\(285\) −4.95057e10 2.38407e10i −0.444481 0.214051i
\(286\) 9.89175e10 + 9.17821e10i 0.874231 + 0.811168i
\(287\) 1.44590e11 2.17934e10i 1.25797 0.189608i
\(288\) 1.18822e9 1.58556e10i 0.0101772 0.135806i
\(289\) 8.00776e10 2.04034e11i 0.675260 1.72053i
\(290\) 1.79356e8 + 7.85809e8i 0.00148910 + 0.00652418i
\(291\) 2.08476e9 + 2.78192e10i 0.0170427 + 0.227419i
\(292\) −3.98327e11 1.22868e11i −3.20640 0.989042i
\(293\) 2.15128e11 1.03600e11i 1.70527 0.821215i 0.712432 0.701741i \(-0.247594\pi\)
0.992837 0.119474i \(-0.0381207\pi\)
\(294\) 2.76980e10 4.79743e10i 0.216214 0.374494i
\(295\) 4.57070e9 + 7.91668e9i 0.0351385 + 0.0608617i
\(296\) 1.03496e11 + 7.05624e10i 0.783630 + 0.534270i
\(297\) 4.18577e10 1.83391e11i 0.312156 1.36764i
\(298\) 2.42903e11 + 3.66118e10i 1.78427 + 0.268935i
\(299\) 1.17126e9 + 1.46872e9i 0.00847489 + 0.0106272i
\(300\) −1.39038e11 −0.991032
\(301\) −1.14142e11 + 1.40875e10i −0.801487 + 0.0989203i
\(302\) 2.67678e11 1.85175
\(303\) −1.10139e11 1.38110e11i −0.750673 0.941315i
\(304\) 9.75322e10 + 1.47006e10i 0.654964 + 0.0987199i
\(305\) 1.49545e10 6.55200e10i 0.0989516 0.433535i
\(306\) −1.86554e11 1.27190e11i −1.21635 0.829293i
\(307\) 1.24226e10 + 2.15165e10i 0.0798158 + 0.138245i 0.903170 0.429282i \(-0.141233\pi\)
−0.823355 + 0.567527i \(0.807900\pi\)
\(308\) −1.74883e11 + 3.02907e11i −1.10731 + 1.91792i
\(309\) 7.05344e10 3.39676e10i 0.440137 0.211959i
\(310\) 5.26600e11 + 1.62434e11i 3.23857 + 0.998966i
\(311\) 1.67929e10 + 2.24086e11i 0.101790 + 1.35829i 0.781085 + 0.624424i \(0.214666\pi\)
−0.679296 + 0.733865i \(0.737715\pi\)
\(312\) 2.56218e10 + 1.12257e11i 0.153079 + 0.670681i
\(313\) −7.04058e10 + 1.79391e11i −0.414628 + 1.05646i 0.559172 + 0.829051i \(0.311119\pi\)
−0.973801 + 0.227404i \(0.926976\pi\)
\(314\) −2.96594e10 + 3.95778e11i −0.172179 + 2.29757i
\(315\) −8.97942e10 + 1.35343e10i −0.513867 + 0.0774530i
\(316\) −3.08529e10 2.86273e10i −0.174062 0.161506i
\(317\) −1.05146e11 5.06358e10i −0.584827 0.281638i 0.117983 0.993016i \(-0.462357\pi\)
−0.702810 + 0.711378i \(0.748071\pi\)
\(318\) 4.05028e10 2.76144e10i 0.222107 0.151430i
\(319\) −2.63388e8 6.71102e8i −0.00142409 0.00362853i
\(320\) −1.74198e11 + 5.37331e10i −0.928686 + 0.286462i
\(321\) 1.09541e11 1.01639e11i 0.575841 0.534302i
\(322\) −4.49889e9 + 5.64143e9i −0.0233214 + 0.0292441i
\(323\) 1.10725e11 1.38844e11i 0.566021 0.709768i
\(324\) 7.69954e10 7.14413e10i 0.388161 0.360161i
\(325\) −6.66276e10 + 2.05519e10i −0.331268 + 0.102183i
\(326\) −7.98455e10 2.03443e11i −0.391535 0.997616i
\(327\) −1.76208e11 + 1.20136e11i −0.852236 + 0.581044i
\(328\) 5.60986e11 + 2.70157e11i 2.67621 + 1.28879i
\(329\) −1.30782e11 1.21348e11i −0.615411 0.571018i
\(330\) 4.52752e11 6.82414e10i 2.10159 0.316763i
\(331\) −7.18074e9 + 9.58204e10i −0.0328809 + 0.438765i 0.956332 + 0.292282i \(0.0944145\pi\)
−0.989213 + 0.146483i \(0.953205\pi\)
\(332\) 5.48429e10 1.39738e11i 0.247742 0.631236i
\(333\) −1.24926e10 5.47339e10i −0.0556744 0.243925i
\(334\) 3.41536e10 + 4.55748e11i 0.150168 + 2.00385i
\(335\) 3.44325e11 + 1.06210e11i 1.49371 + 0.460749i
\(336\) −1.48390e11 + 7.14607e10i −0.635151 + 0.305873i
\(337\) 2.11248e11 3.65893e11i 0.892193 1.54532i 0.0549527 0.998489i \(-0.482499\pi\)
0.837240 0.546835i \(-0.184167\pi\)
\(338\) −1.54672e11 2.67899e11i −0.644594 1.11647i
\(339\) −5.71941e10 3.89943e10i −0.235208 0.160362i
\(340\) 2.48436e11 1.08847e12i 1.00823 4.41734i
\(341\) −4.87407e11 7.34648e10i −1.95208 0.294228i
\(342\) −7.40146e10 9.28114e10i −0.292550 0.366846i
\(343\) 2.79022e11 1.08847
\(344\) −4.35377e11 2.24232e11i −1.67630 0.863345i
\(345\) 6.37419e9 0.0242236
\(346\) −4.91985e11 6.16930e11i −1.84548 2.31416i
\(347\) 2.20298e11 + 3.32046e10i 0.815695 + 0.122946i 0.543622 0.839330i \(-0.317053\pi\)
0.272073 + 0.962277i \(0.412291\pi\)
\(348\) 2.64200e8 1.15754e9i 0.000965666 0.00423086i
\(349\) −1.21230e11 8.26531e10i −0.437416 0.298225i 0.324518 0.945879i \(-0.394798\pi\)
−0.761935 + 0.647654i \(0.775750\pi\)
\(350\) −1.33909e11 2.31938e11i −0.476985 0.826163i
\(351\) 7.76778e10 1.34542e11i 0.273159 0.473125i
\(352\) −9.38898e10 + 4.52149e10i −0.325969 + 0.156978i
\(353\) 2.63433e10 + 8.12584e9i 0.0902993 + 0.0278536i 0.339576 0.940579i \(-0.389717\pi\)
−0.249276 + 0.968432i \(0.580193\pi\)
\(354\) −1.49121e9 1.98988e10i −0.00504688 0.0673459i
\(355\) 1.65393e11 + 7.24634e11i 0.552700 + 2.42154i
\(356\) −1.78954e11 + 4.55967e11i −0.590495 + 1.50456i
\(357\) −2.21604e10 + 2.95710e11i −0.0722057 + 0.963518i
\(358\) −2.48022e11 + 3.73833e10i −0.798026 + 0.120283i
\(359\) 3.07162e11 + 2.85004e11i 0.975982 + 0.905579i 0.995551 0.0942291i \(-0.0300386\pi\)
−0.0195681 + 0.999809i \(0.506229\pi\)
\(360\) −3.48387e11 1.67774e11i −1.09320 0.526459i
\(361\) −1.89472e11 + 1.29180e11i −0.587168 + 0.400324i
\(362\) −1.07982e11 2.75133e11i −0.330493 0.842082i
\(363\) −1.67238e11 + 5.15861e10i −0.505539 + 0.155938i
\(364\) −2.11756e11 + 1.96481e11i −0.632236 + 0.586629i
\(365\) −4.42245e11 + 5.54557e11i −1.30420 + 1.63542i
\(366\) −9.14661e10 + 1.14695e11i −0.266438 + 0.334102i
\(367\) −3.31515e11 + 3.07601e11i −0.953907 + 0.885096i −0.993467 0.114121i \(-0.963595\pi\)
0.0395600 + 0.999217i \(0.487404\pi\)
\(368\) −1.09338e10 + 3.37262e9i −0.0310781 + 0.00958633i
\(369\) −1.01954e11 2.59776e11i −0.286278 0.729424i
\(370\) 3.39895e11 2.31737e11i 0.942838 0.642816i
\(371\) 5.74098e10 + 2.76471e10i 0.157327 + 0.0757648i
\(372\) −5.95072e11 5.52147e11i −1.61112 1.49490i
\(373\) −3.04590e11 + 4.59096e10i −0.814754 + 0.122804i −0.543183 0.839614i \(-0.682781\pi\)
−0.271571 + 0.962419i \(0.587543\pi\)
\(374\) −1.10587e11 + 1.47568e12i −0.292268 + 3.90004i
\(375\) 4.18785e10 1.06705e11i 0.109358 0.278640i
\(376\) −1.69048e11 7.40646e11i −0.436178 1.91102i
\(377\) −4.44955e7 5.93751e8i −0.000113443 0.00151380i
\(378\) 5.70219e11 + 1.75889e11i 1.43658 + 0.443125i
\(379\) 4.36932e11 2.10415e11i 1.08777 0.523843i 0.197978 0.980207i \(-0.436563\pi\)
0.889793 + 0.456364i \(0.150848\pi\)
\(380\) 2.93496e11 5.08350e11i 0.722065 1.25065i
\(381\) −2.61326e11 4.52630e11i −0.635361 1.10048i
\(382\) −9.71520e11 6.62371e11i −2.33435 1.59153i
\(383\) −1.32925e11 + 5.82383e11i −0.315655 + 1.38298i 0.529435 + 0.848351i \(0.322404\pi\)
−0.845090 + 0.534625i \(0.820453\pi\)
\(384\) 4.75265e11 + 7.16346e10i 1.11544 + 0.168125i
\(385\) 3.71077e11 + 4.65316e11i 0.860778 + 1.07938i
\(386\) 2.48775e11 0.570380
\(387\) 7.46859e10 + 2.06395e11i 0.169254 + 0.467736i
\(388\) −2.98022e11 −0.667584
\(389\) −1.42697e10 1.78937e10i −0.0315967 0.0396210i 0.765782 0.643100i \(-0.222352\pi\)
−0.797379 + 0.603479i \(0.793781\pi\)
\(390\) 3.73924e11 + 5.63599e10i 0.818450 + 0.123361i
\(391\) −4.58422e9 + 2.00848e10i −0.00991905 + 0.0434582i
\(392\) 2.53342e11 + 1.72725e11i 0.541900 + 0.369461i
\(393\) 2.15422e11 + 3.73121e11i 0.455536 + 0.789012i
\(394\) 7.38049e10 1.27834e11i 0.154295 0.267247i
\(395\) −6.45251e10 + 3.10737e10i −0.133365 + 0.0642252i
\(396\) 6.37872e11 + 1.96757e11i 1.30348 + 0.402071i
\(397\) 2.56664e10 + 3.42494e11i 0.0518569 + 0.691983i 0.961185 + 0.275904i \(0.0889771\pi\)
−0.909328 + 0.416079i \(0.863404\pi\)
\(398\) 1.18257e11 + 5.18119e11i 0.236240 + 1.03504i
\(399\) −5.69600e10 + 1.45132e11i −0.112510 + 0.286671i
\(400\) 3.17371e10 4.23502e11i 0.0619865 0.827152i
\(401\) −1.99174e11 + 3.00207e10i −0.384665 + 0.0579790i −0.338528 0.940956i \(-0.609929\pi\)
−0.0461369 + 0.998935i \(0.514691\pi\)
\(402\) −5.76593e11 5.35000e11i −1.10116 1.02173i
\(403\) −3.66777e11 1.76631e11i −0.692675 0.333575i
\(404\) 1.55922e12 1.06306e12i 2.91199 1.98536i
\(405\) −6.52959e10 1.66371e11i −0.120597 0.307277i
\(406\) 2.18542e9 6.74112e8i 0.00399179 0.00123130i
\(407\) −2.69729e11 + 2.50272e11i −0.487251 + 0.452102i
\(408\) −7.87296e11 + 9.87238e11i −1.40659 + 1.76381i
\(409\) 5.19637e11 6.51604e11i 0.918216 1.15141i −0.0698776 0.997556i \(-0.522261\pi\)
0.988094 0.153851i \(-0.0491677\pi\)
\(410\) 1.49899e12 1.39086e12i 2.61982 2.43083i
\(411\) 1.68897e11 5.20979e10i 0.291967 0.0900600i
\(412\) 3.05546e11 + 7.78519e11i 0.522444 + 1.33116i
\(413\) 2.14311e10 1.46115e10i 0.0362468 0.0247126i
\(414\) 1.24073e10 + 5.97504e9i 0.0207575 + 0.00999631i
\(415\) −1.87247e11 1.73740e11i −0.309883 0.287529i
\(416\) −8.51046e10 + 1.28275e10i −0.139326 + 0.0210001i
\(417\) 3.93049e9 5.24487e10i 0.00636552 0.0849420i
\(418\) −2.84247e11 + 7.24249e11i −0.455409 + 1.16036i
\(419\) −1.59070e11 6.96933e11i −0.252131 1.10466i −0.929444 0.368963i \(-0.879713\pi\)
0.677313 0.735695i \(-0.263144\pi\)
\(420\) 7.32480e10 + 9.77427e11i 0.114861 + 1.53272i
\(421\) 2.75775e11 + 8.50654e10i 0.427844 + 0.131972i 0.501196 0.865334i \(-0.332893\pi\)
−0.0733520 + 0.997306i \(0.523370\pi\)
\(422\) 1.13518e12 5.46674e11i 1.74244 0.839117i
\(423\) −1.70245e11 + 2.94873e11i −0.258549 + 0.447819i
\(424\) 1.35667e11 + 2.34981e11i 0.203857 + 0.353091i
\(425\) −6.31779e11 4.30740e11i −0.939324 0.640420i
\(426\) 3.61033e11 1.58179e12i 0.531133 2.32705i
\(427\) −1.88560e11 2.84209e10i −0.274489 0.0413725i
\(428\) 9.95307e11 + 1.24808e12i 1.43371 + 1.79781i
\(429\) −3.38231e11 −0.482121
\(430\) −1.20788e12 + 1.06196e12i −1.70379 + 1.49796i
\(431\) 5.42313e11 0.757012 0.378506 0.925599i \(-0.376438\pi\)
0.378506 + 0.925599i \(0.376438\pi\)
\(432\) 5.89980e11 + 7.39811e11i 0.815005 + 1.02198i
\(433\) −6.24186e11 9.40808e10i −0.853332 0.128619i −0.292212 0.956354i \(-0.594391\pi\)
−0.561120 + 0.827734i \(0.689629\pi\)
\(434\) 3.47948e11 1.52446e12i 0.470772 2.06259i
\(435\) −1.66927e9 1.13809e9i −0.00223524 0.00152396i
\(436\) −1.13914e12 1.97304e12i −1.50969 2.61486i
\(437\) −5.41569e9 + 9.38025e9i −0.00710374 + 0.0123040i
\(438\) 1.39499e12 6.71794e11i 1.81109 0.872173i
\(439\) −4.00061e10 1.23402e10i −0.0514086 0.0158575i 0.268944 0.963156i \(-0.413325\pi\)
−0.320353 + 0.947298i \(0.603801\pi\)
\(440\) 1.89390e11 + 2.52723e12i 0.240891 + 3.21446i
\(441\) −3.05800e10 1.33980e11i −0.0385003 0.168681i
\(442\) −4.46508e11 + 1.13768e12i −0.556453 + 1.41782i
\(443\) 7.36317e9 9.82547e10i 0.00908340 0.121210i −0.990819 0.135197i \(-0.956833\pi\)
0.999902 + 0.0139872i \(0.00445241\pi\)
\(444\) −5.99211e11 + 9.03165e10i −0.731739 + 0.110292i
\(445\) 6.10990e11 + 5.66916e11i 0.738609 + 0.685329i
\(446\) 1.16893e12 + 5.62927e11i 1.39888 + 0.673667i
\(447\) −5.08736e11 + 3.46851e11i −0.602711 + 0.410921i
\(448\) 1.88975e11 + 4.81501e11i 0.221643 + 0.564737i
\(449\) 1.43455e12 4.42499e11i 1.66574 0.513811i 0.688368 0.725362i \(-0.258327\pi\)
0.977367 + 0.211550i \(0.0678512\pi\)
\(450\) −3.74686e11 + 3.47658e11i −0.430736 + 0.399665i
\(451\) −1.14037e12 + 1.42998e12i −1.29793 + 1.62755i
\(452\) 4.61066e11 5.78158e11i 0.519565 0.651514i
\(453\) −4.91840e11 + 4.56361e11i −0.548759 + 0.509174i
\(454\) 9.78283e11 3.01760e11i 1.08072 0.333358i
\(455\) 1.79579e11 + 4.57560e11i 0.196429 + 0.500492i
\(456\) −5.48534e11 + 3.73984e11i −0.594103 + 0.405052i
\(457\) −8.18983e11 3.94402e11i −0.878319 0.422976i −0.0603085 0.998180i \(-0.519208\pi\)
−0.818010 + 0.575204i \(0.804923\pi\)
\(458\) −8.26224e11 7.66624e11i −0.877411 0.814119i
\(459\) 1.68468e12 2.53925e11i 1.77158 0.267023i
\(460\) −5.08871e9 + 6.79041e10i −0.00529904 + 0.0707108i
\(461\) 3.88330e11 9.89448e11i 0.400448 1.02033i −0.578403 0.815751i \(-0.696324\pi\)
0.978851 0.204574i \(-0.0655810\pi\)
\(462\) −2.89092e11 1.26659e12i −0.295221 1.29345i
\(463\) 3.79351e10 + 5.06208e11i 0.0383642 + 0.511935i 0.982975 + 0.183741i \(0.0588209\pi\)
−0.944610 + 0.328194i \(0.893560\pi\)
\(464\) 3.46549e9 + 1.06896e9i 0.00347083 + 0.00107061i
\(465\) −1.24452e12 + 5.99329e11i −1.23442 + 0.594466i
\(466\) −1.70846e12 + 2.95914e12i −1.67829 + 2.90689i
\(467\) −7.93633e10 1.37461e11i −0.0772136 0.133738i 0.824833 0.565376i \(-0.191269\pi\)
−0.902047 + 0.431638i \(0.857936\pi\)
\(468\) 4.55510e11 + 3.10562e11i 0.438926 + 0.299255i
\(469\) 2.27511e11 9.96791e11i 0.217132 0.951319i
\(470\) −2.46707e12 3.71851e11i −2.33207 0.351503i
\(471\) −6.20258e11 7.77779e11i −0.580735 0.728219i
\(472\) 1.10450e11 0.102430
\(473\) 9.26746e11 1.10028e12i 0.851306 1.01071i
\(474\) 1.56332e11 0.142248
\(475\) −2.50656e11 3.14313e11i −0.225921 0.283296i
\(476\) −3.13251e12 4.72149e11i −2.79680 0.421549i
\(477\) 2.70607e10 1.18561e11i 0.0239335 0.104860i
\(478\) 5.90366e10 + 4.02505e10i 0.0517244 + 0.0352651i
\(479\) 2.06679e11 + 3.57979e11i 0.179385 + 0.310704i 0.941670 0.336537i \(-0.109256\pi\)
−0.762285 + 0.647242i \(0.775922\pi\)
\(480\) −1.46016e11 + 2.52907e11i −0.125550 + 0.217458i
\(481\) −2.73795e11 + 1.31853e11i −0.233223 + 0.112314i
\(482\) 8.00153e11 + 2.46814e11i 0.675245 + 0.208285i
\(483\) −1.35160e9 1.80358e10i −0.00113002 0.0150790i
\(484\) −4.16034e11 1.82277e12i −0.344608 1.50983i
\(485\) −1.85270e11 + 4.72059e11i −0.152043 + 0.387399i
\(486\) 1.41943e11 1.89410e12i 0.115412 1.54006i
\(487\) −4.94792e11 + 7.45779e10i −0.398605 + 0.0600800i −0.345286 0.938498i \(-0.612218\pi\)
−0.0533189 + 0.998578i \(0.516980\pi\)
\(488\) −5.95235e11 5.52298e11i −0.475116 0.440843i
\(489\) 4.93557e11 + 2.37684e11i 0.390344 + 0.187980i
\(490\) 8.32008e11 5.67254e11i 0.651997 0.444524i
\(491\) −6.58443e11 1.67769e12i −0.511271 1.30270i −0.920670 0.390342i \(-0.872357\pi\)
0.409398 0.912356i \(-0.365739\pi\)
\(492\) −2.87836e12 + 8.87858e11i −2.21464 + 0.683125i
\(493\) 4.78657e9 4.44129e9i 0.00364933 0.00338608i
\(494\) −4.00635e11 + 5.02380e11i −0.302676 + 0.379543i
\(495\) 7.08201e11 8.88055e11i 0.530192 0.664839i
\(496\) 1.81764e12 1.68652e12i 1.34847 1.25119i
\(497\) 2.01528e12 6.21633e11i 1.48161 0.457015i
\(498\) 2.03708e11 + 5.19039e11i 0.148414 + 0.378153i
\(499\) −1.83750e12 + 1.25279e12i −1.32671 + 0.904532i −0.999187 0.0403124i \(-0.987165\pi\)
−0.327518 + 0.944845i \(0.606212\pi\)
\(500\) 1.10329e12 + 5.31317e11i 0.789451 + 0.380179i
\(501\) −8.39751e11 7.79175e11i −0.595499 0.552542i
\(502\) −3.59449e12 + 5.41783e11i −2.52622 + 0.380766i
\(503\) −6.56341e10 + 8.75827e11i −0.0457166 + 0.610045i 0.926550 + 0.376171i \(0.122760\pi\)
−0.972267 + 0.233874i \(0.924860\pi\)
\(504\) −4.00846e11 + 1.02134e12i −0.276720 + 0.705070i
\(505\) −7.14544e11 3.13062e12i −0.488897 2.14200i
\(506\) −6.74485e9 9.00037e10i −0.00457399 0.0610356i
\(507\) 7.40936e11 + 2.28548e11i 0.498018 + 0.153618i
\(508\) 5.03049e12 2.42255e12i 3.35138 1.61394i
\(509\) −1.30510e12 + 2.26049e12i −0.861813 + 1.49270i 0.00836491 + 0.999965i \(0.497337\pi\)
−0.870178 + 0.492738i \(0.835996\pi\)
\(510\) 2.07348e12 + 3.59138e12i 1.35717 + 2.35069i
\(511\) 1.66290e12 + 1.13374e12i 1.07888 + 0.735565i
\(512\) −6.86713e11 + 3.00869e12i −0.441632 + 1.93492i
\(513\) 8.85742e11 + 1.33504e11i 0.564650 + 0.0851073i
\(514\) −1.47422e12 1.84862e12i −0.931600 1.16819i
\(515\) 1.42310e12 0.891462
\(516\) 2.28180e12 6.37407e11i 1.41695 0.395816i
\(517\) 2.23158e12 1.37374
\(518\) −7.27772e11 9.12597e11i −0.444131 0.556923i
\(519\) 1.95578e12 + 2.94786e11i 1.18322 + 0.178342i
\(520\) −4.65752e11 + 2.04059e12i −0.279344 + 1.22389i
\(521\) −1.87431e12 1.27788e12i −1.11448 0.759839i −0.141318 0.989964i \(-0.545134\pi\)
−0.973161 + 0.230126i \(0.926086\pi\)
\(522\) −2.18239e9 3.78001e9i −0.00128652 0.00222831i
\(523\) 4.71866e11 8.17295e11i 0.275779 0.477663i −0.694553 0.719442i \(-0.744398\pi\)
0.970331 + 0.241779i \(0.0777310\pi\)
\(524\) −4.14683e12 + 1.99701e12i −2.40284 + 1.15715i
\(525\) 6.41476e11 + 1.97869e11i 0.368522 + 0.113674i
\(526\) 9.82144e10 + 1.31058e12i 0.0559422 + 0.746496i
\(527\) −9.93420e11 4.35246e12i −0.561029 2.45803i
\(528\) 7.52650e11 1.91772e12i 0.421445 1.07382i
\(529\) −1.34506e11 + 1.79486e12i −0.0746780 + 0.996508i
\(530\) 8.81142e11 1.32811e11i 0.485070 0.0731126i
\(531\) −3.62882e10 3.36705e10i −0.0198080 0.0183791i
\(532\) −1.50061e12 7.22657e11i −0.812206 0.391138i
\(533\) −1.24809e12 + 8.50931e11i −0.669842 + 0.456691i
\(534\) −6.64703e11 1.69364e12i −0.353746 0.901331i
\(535\) 2.59567e12 8.00657e11i 1.36980 0.422527i
\(536\) 3.19148e12 2.96126e12i 1.67013 1.54966i
\(537\) 3.91988e11 4.91538e11i 0.203418 0.255078i
\(538\) −2.34075e12 + 2.93521e12i −1.20458 + 1.51049i
\(539\) −6.60252e11 + 6.12625e11i −0.336946 + 0.312640i
\(540\) 5.38119e12 1.65988e12i 2.72337 0.840047i
\(541\) −6.82145e11 1.73808e12i −0.342365 0.872332i −0.993548 0.113411i \(-0.963822\pi\)
0.651183 0.758921i \(-0.274273\pi\)
\(542\) −4.80316e12 + 3.27474e12i −2.39073 + 1.62997i
\(543\) 6.67479e11 + 3.21441e11i 0.329487 + 0.158673i
\(544\) −6.91887e11 6.41978e11i −0.338720 0.314286i
\(545\) −3.83341e12 + 5.77794e11i −1.86123 + 0.280536i
\(546\) 8.01831e10 1.06997e12i 0.0386114 0.515234i
\(547\) −1.67727e11 + 4.27363e11i −0.0801053 + 0.204105i −0.965315 0.261086i \(-0.915919\pi\)
0.885210 + 0.465191i \(0.154014\pi\)
\(548\) 4.20162e11 + 1.84085e12i 0.199024 + 0.871979i
\(549\) 2.71966e10 + 3.62914e11i 0.0127773 + 0.170501i
\(550\) 3.20115e12 + 9.87423e11i 1.49167 + 0.460120i
\(551\) 3.09306e9 1.48954e9i 0.00142957 0.000688446i
\(552\) 3.85077e10 6.66973e10i 0.0176531 0.0305761i
\(553\) 1.01605e11 + 1.75985e11i 0.0462011 + 0.0800226i
\(554\) 1.39034e12 + 9.47916e11i 0.627085 + 0.427539i
\(555\) −2.29449e11 + 1.00528e12i −0.102652 + 0.449748i
\(556\) 5.55597e11 + 8.37428e10i 0.246561 + 0.0371630i
\(557\) 1.30385e12 + 1.63498e12i 0.573958 + 0.719721i 0.981069 0.193658i \(-0.0620352\pi\)
−0.407111 + 0.913379i \(0.633464\pi\)
\(558\) −2.98425e12 −1.30311
\(559\) 9.99233e11 6.42733e11i 0.432826 0.278405i
\(560\) −2.99391e12 −1.28645
\(561\) −2.31267e12 2.89999e12i −0.985780 1.23613i
\(562\) 4.03759e12 + 6.08568e11i 1.70729 + 0.257333i
\(563\) −2.87426e11 + 1.25930e12i −0.120570 + 0.528251i 0.878183 + 0.478325i \(0.158756\pi\)
−0.998753 + 0.0499263i \(0.984101\pi\)
\(564\) 3.03657e12 + 2.07030e12i 1.26365 + 0.861544i
\(565\) −6.29159e11 1.08974e12i −0.259742 0.449887i
\(566\) 2.94141e12 5.09467e12i 1.20471 2.08661i
\(567\) −4.56902e11 + 2.20033e11i −0.185652 + 0.0894053i
\(568\) 8.58149e12 + 2.64704e12i 3.45935 + 1.06707i
\(569\) −2.46091e11 3.28386e12i −0.0984216 1.31334i −0.799675 0.600433i \(-0.794995\pi\)
0.701254 0.712912i \(-0.252624\pi\)
\(570\) 4.85166e11 + 2.12565e12i 0.192510 + 0.843441i
\(571\) −1.70889e12 + 4.35417e12i −0.672745 + 1.71413i 0.0269021 + 0.999638i \(0.491436\pi\)
−0.699647 + 0.714489i \(0.746659\pi\)
\(572\) 2.70021e11 3.60317e12i 0.105467 1.40735i
\(573\) 2.91436e12 4.39269e11i 1.12940 0.170230i
\(574\) −4.25329e12 3.94647e12i −1.63539 1.51742i
\(575\) 4.20183e10 + 2.02349e10i 0.0160300 + 0.00771963i
\(576\) 8.15650e11 5.56101e11i 0.308747 0.210500i
\(577\) 1.60197e12 + 4.08176e12i 0.601678 + 1.53305i 0.829010 + 0.559233i \(0.188904\pi\)
−0.227332 + 0.973817i \(0.573000\pi\)
\(578\) −8.31094e12 + 2.56359e12i −3.09724 + 0.955372i
\(579\) −4.57107e11 + 4.24133e11i −0.169030 + 0.156837i
\(580\) 1.34566e10 1.68741e10i 0.00493754 0.00619148i
\(581\) −4.51893e11 + 5.66655e11i −0.164529 + 0.206313i
\(582\) 8.11465e11 7.52930e11i 0.293168 0.272020i
\(583\) −7.61625e11 + 2.34930e11i −0.273044 + 0.0842229i
\(584\) 3.13101e12 + 7.97768e12i 1.11385 + 2.83804i
\(585\) 7.75095e11 5.28451e11i 0.273624 0.186553i
\(586\) −8.53633e12 4.11088e12i −2.99042 1.44011i
\(587\) 3.36461e12 + 3.12190e12i 1.16967 + 1.08529i 0.994919 + 0.100682i \(0.0321024\pi\)
0.174751 + 0.984613i \(0.444088\pi\)
\(588\) −1.46677e12 + 2.21080e11i −0.506016 + 0.0762697i
\(589\) 1.75407e11 2.34064e12i 0.0600520 0.801338i
\(590\) 1.32521e11 3.37658e11i 0.0450247 0.114721i
\(591\) 8.23306e10 + 3.60714e11i 0.0277599 + 0.121624i
\(592\) −1.38322e11 1.84578e12i −0.0462854 0.617635i
\(593\) 2.02535e12 + 6.24738e11i 0.672596 + 0.207468i 0.612196 0.790706i \(-0.290286\pi\)
0.0603996 + 0.998174i \(0.480762\pi\)
\(594\) −6.72494e12 + 3.23856e12i −2.21641 + 1.06736i
\(595\) −2.69524e12 + 4.66829e12i −0.881598 + 1.52697i
\(596\) −3.28885e12 5.69646e12i −1.06767 1.84926i
\(597\) −1.10062e12 7.50391e11i −0.354612 0.241771i
\(598\) 1.65871e10 7.26728e10i 0.00530414 0.0232389i
\(599\) 3.15884e12 + 4.76119e11i 1.00255 + 0.151111i 0.629748 0.776799i \(-0.283158\pi\)
0.372805 + 0.927910i \(0.378396\pi\)
\(600\) 1.78226e12 + 2.23489e12i 0.561425 + 0.704004i
\(601\) 4.03292e12 1.26091 0.630456 0.776225i \(-0.282868\pi\)
0.630456 + 0.776225i \(0.282868\pi\)
\(602\) 3.26094e12 + 3.19253e12i 1.01195 + 0.990719i
\(603\) −1.95130e12 −0.601029
\(604\) −4.46895e12 5.60389e12i −1.36628 1.71326i
\(605\) −3.14585e12 4.74160e11i −0.954637 0.143888i
\(606\) −1.55976e12 + 6.83376e12i −0.469820 + 2.05842i
\(607\) 3.10323e12 + 2.11575e12i 0.927823 + 0.632579i 0.930056 0.367418i \(-0.119758\pi\)
−0.00223255 + 0.999998i \(0.500711\pi\)
\(608\) −2.48119e11 4.29754e11i −0.0736366 0.127542i
\(609\) −2.86626e9 + 4.96452e9i −0.000844381 + 0.00146251i
\(610\) −2.40262e12 + 1.15704e12i −0.702588 + 0.338349i
\(611\) 1.76116e12 + 5.43246e11i 0.511227 + 0.157693i
\(612\) 4.51812e11 + 6.02901e12i 0.130189 + 1.73726i
\(613\) 1.82947e11 + 8.01542e11i 0.0523302 + 0.229274i 0.994330 0.106340i \(-0.0339133\pi\)
−0.942000 + 0.335614i \(0.891056\pi\)
\(614\) 3.60175e11 9.17711e11i 0.102272 0.260584i
\(615\) −3.83032e11 + 5.11120e12i −0.107968 + 1.44074i
\(616\) 7.11066e12 1.07176e12i 1.98974 0.299905i
\(617\) −3.56439e12 3.30727e12i −0.990151 0.918726i 0.00654252 0.999979i \(-0.497917\pi\)
−0.996694 + 0.0812527i \(0.974108\pi\)
\(618\) −2.79882e12 1.34784e12i −0.771839 0.371698i
\(619\) −2.90329e12 + 1.97943e12i −0.794846 + 0.541917i −0.891297 0.453421i \(-0.850203\pi\)
0.0964504 + 0.995338i \(0.469251\pi\)
\(620\) −5.39111e12 1.37363e13i −1.46526 3.73343i
\(621\) −9.92954e10 + 3.06286e10i −0.0267927 + 0.00826446i
\(622\) 6.53640e12 6.06489e12i 1.75098 1.62468i
\(623\) 1.47454e12 1.84901e12i 0.392156 0.491749i
\(624\) 1.06083e12 1.33024e12i 0.280102 0.351237i
\(625\) 3.41117e12 3.16510e12i 0.894217 0.829712i
\(626\) 7.30714e12 2.25396e12i 1.90179 0.586625i
\(627\) −7.12477e11 1.81536e12i −0.184106 0.469093i
\(628\) 8.78083e12 5.98667e12i 2.25277 1.53591i
\(629\) −3.00258e12 1.44597e12i −0.764832 0.368324i
\(630\) 2.64140e12 + 2.45086e12i 0.668040 + 0.619850i
\(631\) 5.08072e12 7.65795e11i 1.27583 0.192300i 0.524035 0.851697i \(-0.324426\pi\)
0.751796 + 0.659396i \(0.229188\pi\)
\(632\) −6.46647e10 + 8.62890e11i −0.0161228 + 0.215144i
\(633\) −1.15380e12 + 2.93982e12i −0.285635 + 0.727787i
\(634\) 1.03046e12 + 4.51472e12i 0.253295 + 1.10976i
\(635\) −7.09991e11 9.47417e12i −0.173289 2.31238i
\(636\) −1.25431e12 3.86905e11i −0.303983 0.0937663i
\(637\) −6.70205e11 + 3.22754e11i −0.161280 + 0.0776683i
\(638\) −1.43035e10 + 2.47743e10i −0.00341781 + 0.00591983i
\(639\) −2.01249e12 3.48574e12i −0.477508 0.827068i
\(640\) 7.21878e12 + 4.92168e12i 1.70080 + 1.15959i
\(641\) −3.10828e11 + 1.36183e12i −0.0727209 + 0.318611i −0.998185 0.0602246i \(-0.980818\pi\)
0.925464 + 0.378836i \(0.123675\pi\)
\(642\) −5.86322e12 8.83739e11i −1.36216 0.205313i
\(643\) 3.10133e12 + 3.88895e12i 0.715483 + 0.897187i 0.998073 0.0620536i \(-0.0197650\pi\)
−0.282590 + 0.959241i \(0.591194\pi\)
\(644\) 1.93214e11 0.0442642
\(645\) 4.08879e11 4.01057e12i 0.0930201 0.912404i
\(646\) −7.04675e12 −1.59200
\(647\) −3.96724e11 4.97476e11i −0.0890059 0.111610i 0.735334 0.677704i \(-0.237025\pi\)
−0.824340 + 0.566095i \(0.808454\pi\)
\(648\) −2.13531e12 3.21847e11i −0.475745 0.0717070i
\(649\) −7.21955e10 + 3.16309e11i −0.0159738 + 0.0699860i
\(650\) 2.28597e12 + 1.55855e12i 0.502296 + 0.342460i
\(651\) 1.95970e12 + 3.39429e12i 0.427636 + 0.740687i
\(652\) −2.92607e12 + 5.06810e12i −0.634119 + 1.09833i
\(653\) 3.39276e12 1.63387e12i 0.730204 0.351648i −0.0315606 0.999502i \(-0.510048\pi\)
0.761764 + 0.647854i \(0.224333\pi\)
\(654\) 8.08643e12 + 2.49433e12i 1.72845 + 0.533156i
\(655\) 5.85274e11 + 7.80994e12i 0.124243 + 1.65791i
\(656\) −2.04734e12 8.97000e12i −0.431642 1.89115i
\(657\) 1.40330e12 3.57555e12i 0.293837 0.748683i
\(658\) −5.29032e11 + 7.05944e12i −0.110018 + 1.46809i
\(659\) 9.00915e11 1.35791e11i 0.186080 0.0280470i −0.0553411 0.998468i \(-0.517625\pi\)
0.241421 + 0.970420i \(0.422387\pi\)
\(660\) −8.98743e12 8.33912e12i −1.84369 1.71069i
\(661\) −3.94155e12 1.89815e12i −0.803082 0.386744i −0.0131310 0.999914i \(-0.504180\pi\)
−0.789951 + 0.613170i \(0.789894\pi\)
\(662\) 3.15031e12 2.14785e12i 0.637518 0.434653i
\(663\) −1.11919e12 2.85165e12i −0.224954 0.573173i
\(664\) −2.94914e12 + 9.09690e11i −0.588762 + 0.181609i
\(665\) −2.07755e12 + 1.92768e12i −0.411958 + 0.382241i
\(666\) −1.38895e12 + 1.74169e12i −0.273560 + 0.343034i
\(667\) −2.48306e8 + 3.11366e8i −4.85759e−5 + 6.09123e-5i
\(668\) 8.97094e12 8.32382e12i 1.74319 1.61744i
\(669\) −3.10755e12 + 9.58551e11i −0.599791 + 0.185011i
\(670\) −5.22369e12 1.33097e13i −1.00148 2.55172i
\(671\) 1.97076e12 1.34364e12i 0.375304 0.255878i
\(672\) 7.46564e11 + 3.59526e11i 0.141223 + 0.0680094i
\(673\) −4.21044e11 3.90672e11i −0.0791152 0.0734082i 0.639624 0.768688i \(-0.279090\pi\)
−0.718739 + 0.695280i \(0.755281\pi\)
\(674\) −1.65775e13 + 2.49866e12i −3.09421 + 0.466377i
\(675\) 2.88221e11 3.84605e12i 0.0534391 0.713095i
\(676\) −3.02623e12 + 7.71072e12i −0.557368 + 1.42015i
\(677\) 3.96281e11 + 1.73622e12i 0.0725027 + 0.317655i 0.998155 0.0607206i \(-0.0193398\pi\)
−0.925652 + 0.378376i \(0.876483\pi\)
\(678\) 2.05265e11 + 2.73908e12i 0.0373063 + 0.497818i
\(679\) 1.37498e12 + 4.24125e11i 0.248246 + 0.0765737i
\(680\) −2.06806e13 + 9.95925e12i −3.70914 + 1.78623i
\(681\) −1.28306e12 + 2.22232e12i −0.228604 + 0.395954i
\(682\) 9.77944e12 + 1.69385e13i 1.73095 + 2.99809i
\(683\) 1.05853e12 + 7.21696e11i 0.186128 + 0.126900i 0.652799 0.757531i \(-0.273595\pi\)
−0.466671 + 0.884431i \(0.654547\pi\)
\(684\) −7.07329e11 + 3.09901e12i −0.123558 + 0.541341i
\(685\) 3.17706e12 + 4.78865e11i 0.551338 + 0.0831008i
\(686\) −6.90307e12 8.65618e12i −1.19010 1.49234i
\(687\) 2.82513e12 0.483875
\(688\) 1.42066e12 + 7.09574e12i 0.241736 + 1.20740i
\(689\) −6.58264e11 −0.111279
\(690\) −1.57699e11 1.97748e11i −0.0264855 0.0332117i
\(691\) 5.54328e12 + 8.35514e11i 0.924944 + 0.139413i 0.594209 0.804311i \(-0.297465\pi\)
0.330735 + 0.943724i \(0.392703\pi\)
\(692\) −4.70171e12 + 2.05996e13i −0.779433 + 3.41492i
\(693\) −2.66292e12 1.81555e12i −0.438591 0.299026i
\(694\) −4.42010e12 7.65584e12i −0.723294 1.25278i
\(695\) 4.78041e11 8.27992e11i 0.0777202 0.134615i
\(696\) −2.19929e10 + 1.05912e10i −0.00355255 + 0.00171082i
\(697\) −1.58297e13 4.88281e12i −2.54053 0.783651i
\(698\) 4.35084e11 + 5.80580e12i 0.0693784 + 0.925790i
\(699\) −1.90582e12 8.34993e12i −0.301949 1.32293i
\(700\) −2.62001e12 + 6.67567e12i −0.412440 + 1.05088i
\(701\) 2.34151e11 3.12453e12i 0.0366239 0.488713i −0.948490 0.316808i \(-0.897389\pi\)
0.985114 0.171905i \(-0.0549921\pi\)
\(702\) −6.09569e12 + 9.18778e11i −0.947341 + 0.142789i
\(703\) −1.28442e12 1.19177e12i −0.198339 0.184032i
\(704\) −5.82931e12 2.80725e12i −0.894417 0.430729i
\(705\) 5.16703e12 3.52282e12i 0.787752 0.537080i
\(706\) −3.99649e11 1.01829e12i −0.0605422 0.154259i
\(707\) −8.70659e12 + 2.68563e12i −1.31057 + 0.404258i
\(708\) −3.91687e11 + 3.63433e11i −0.0585855 + 0.0543594i
\(709\) −3.52649e12 + 4.42208e12i −0.524125 + 0.657232i −0.971479 0.237125i \(-0.923795\pi\)
0.447354 + 0.894357i \(0.352366\pi\)
\(710\) 1.83886e13 2.30586e13i 2.71573 3.40542i
\(711\) 2.84297e11 2.63789e11i 0.0417214 0.0387118i
\(712\) 9.62312e12 2.96834e12i 1.40332 0.432866i
\(713\) 9.94785e10 + 2.53467e11i 0.0144154 + 0.0367298i
\(714\) 9.72215e12 6.62845e12i 1.39997 0.954487i
\(715\) −5.53947e12 2.66767e12i −0.792667 0.381728i
\(716\) 4.92341e12 + 4.56826e12i 0.700096 + 0.649594i
\(717\) −1.77098e11 + 2.66932e10i −0.0250252 + 0.00377194i
\(718\) 1.24252e12 1.65802e13i 0.174478 2.32825i
\(719\) 1.25446e12 3.19632e12i 0.175056 0.446036i −0.816236 0.577719i \(-0.803943\pi\)
0.991292 + 0.131683i \(0.0420382\pi\)
\(720\) 1.27146e12 + 5.57061e12i 0.176321 + 0.772514i
\(721\) −3.01757e11 4.02667e12i −0.0415862 0.554929i
\(722\) 8.69514e12 + 2.68210e12i 1.19086 + 0.367331i
\(723\) −1.89101e12 + 9.10664e11i −0.257378 + 0.123947i
\(724\) −3.95717e12 + 6.85403e12i −0.535256 + 0.927091i
\(725\) −7.39083e9 1.28013e10i −0.000993510 0.00172081i
\(726\) 5.73787e12 + 3.91201e12i 0.766542 + 0.522619i
\(727\) 7.57580e11 3.31917e12i 0.100583 0.440682i −0.899411 0.437104i \(-0.856004\pi\)
0.999994 0.00357764i \(-0.00113880\pi\)
\(728\) 5.87263e12 + 8.85156e11i 0.774892 + 0.116796i
\(729\) 4.18155e12 + 5.24350e12i 0.548357 + 0.687618i
\(730\) 2.81454e13 3.66821
\(731\) 1.23431e13 + 4.17270e12i 1.59880 + 0.540492i
\(732\) 3.92820e12 0.505701
\(733\) −7.92035e12 9.93181e12i −1.01339 1.27075i −0.962281 0.272058i \(-0.912296\pi\)
−0.0511092 0.998693i \(-0.516276\pi\)
\(734\) 1.77445e13 + 2.67456e12i 2.25648 + 0.340110i
\(735\) −5.61654e11 + 2.46077e12i −0.0709865 + 0.311012i
\(736\) 4.75636e10 + 3.24283e10i 0.00597482 + 0.00407356i
\(737\) 6.39443e12 + 1.10755e13i 0.798359 + 1.38280i
\(738\) −5.53671e12 + 9.58986e12i −0.687066 + 1.19003i
\(739\) −1.43673e12 + 6.91894e11i −0.177205 + 0.0853375i −0.520383 0.853933i \(-0.674211\pi\)
0.343178 + 0.939270i \(0.388497\pi\)
\(740\) −1.05261e13 3.24686e12i −1.29040 0.398035i
\(741\) −1.20362e11 1.60612e12i −0.0146659 0.195703i
\(742\) −5.62628e11 2.46503e12i −0.0681403 0.298542i
\(743\) −1.79528e12 + 4.57430e12i −0.216114 + 0.550650i −0.997283 0.0736705i \(-0.976529\pi\)
0.781169 + 0.624320i \(0.214624\pi\)
\(744\) −1.24721e12 + 1.66429e13i −0.149232 + 1.99136i
\(745\) −1.10676e13 + 1.66817e12i −1.31629 + 0.198398i
\(746\) 8.95990e12 + 8.31357e12i 1.05920 + 0.982794i
\(747\) 1.24626e12 + 6.00166e11i 0.146442 + 0.0705226i
\(748\) 3.27398e13 2.23216e13i 3.82401 2.60717i
\(749\) −2.81585e12 7.17467e12i −0.326920 0.832979i
\(750\) −4.34641e12 + 1.34069e12i