Properties

Label 80.6.q.a.29.5
Level 80
Weight 6
Character 80.29
Analytic conductor 12.831
Analytic rank 0
Dimension 116
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 80 = 2^{4} \cdot 5 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 80.q (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(12.8307055850\)
Analytic rank: \(0\)
Dimension: \(116\)
Relative dimension: \(58\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 29.5
Character \(\chi\) \(=\) 80.29
Dual form 80.6.q.a.69.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-5.48884 - 1.36846i) q^{2} +(6.61300 - 6.61300i) q^{3} +(28.2546 + 15.0225i) q^{4} +(49.7455 + 25.5026i) q^{5} +(-45.3473 + 27.2480i) q^{6} +180.633 q^{7} +(-134.527 - 121.121i) q^{8} +155.536i q^{9} +O(q^{10})\) \(q+(-5.48884 - 1.36846i) q^{2} +(6.61300 - 6.61300i) q^{3} +(28.2546 + 15.0225i) q^{4} +(49.7455 + 25.5026i) q^{5} +(-45.3473 + 27.2480i) q^{6} +180.633 q^{7} +(-134.527 - 121.121i) q^{8} +155.536i q^{9} +(-238.146 - 208.054i) q^{10} +(-482.240 + 482.240i) q^{11} +(286.192 - 87.5040i) q^{12} +(85.7657 - 85.7657i) q^{13} +(-991.466 - 247.189i) q^{14} +(497.616 - 160.319i) q^{15} +(572.648 + 848.911i) q^{16} +1152.03i q^{17} +(212.846 - 853.714i) q^{18} +(-1207.86 - 1207.86i) q^{19} +(1022.43 + 1467.87i) q^{20} +(1194.53 - 1194.53i) q^{21} +(3306.86 - 1987.01i) q^{22} +950.477 q^{23} +(-1690.60 + 88.6528i) q^{24} +(1824.24 + 2537.28i) q^{25} +(-588.120 + 353.387i) q^{26} +(2635.52 + 2635.52i) q^{27} +(5103.72 + 2713.56i) q^{28} +(4751.04 + 4751.04i) q^{29} +(-2950.72 + 198.994i) q^{30} +3020.61 q^{31} +(-1981.47 - 5443.18i) q^{32} +6378.11i q^{33} +(1576.51 - 6323.29i) q^{34} +(8985.69 + 4606.61i) q^{35} +(-2336.55 + 4394.63i) q^{36} +(-6423.45 - 6423.45i) q^{37} +(4976.83 + 8282.65i) q^{38} -1134.34i q^{39} +(-3603.22 - 9456.05i) q^{40} -7582.56i q^{41} +(-8191.23 + 4921.90i) q^{42} +(701.501 + 701.501i) q^{43} +(-20870.0 + 6381.06i) q^{44} +(-3966.58 + 7737.25i) q^{45} +(-5217.01 - 1300.69i) q^{46} -18936.1i q^{47} +(9400.77 + 1826.93i) q^{48} +15821.3 q^{49} +(-6540.76 - 16423.1i) q^{50} +(7618.36 + 7618.36i) q^{51} +(3711.69 - 1134.86i) q^{52} +(16491.0 + 16491.0i) q^{53} +(-10859.3 - 18072.6i) q^{54} +(-36287.7 + 11690.9i) q^{55} +(-24300.1 - 21878.6i) q^{56} -15975.1 q^{57} +(-19576.0 - 32579.3i) q^{58} +(-3150.95 + 3150.95i) q^{59} +(16468.3 + 2945.70i) q^{60} +(-13648.7 - 13648.7i) q^{61} +(-16579.6 - 4133.59i) q^{62} +28095.1i q^{63} +(3427.18 + 32588.3i) q^{64} +(6453.70 - 2079.21i) q^{65} +(8728.19 - 35008.4i) q^{66} +(30053.5 - 30053.5i) q^{67} +(-17306.4 + 32550.1i) q^{68} +(6285.50 - 6285.50i) q^{69} +(-43017.0 - 37581.5i) q^{70} +6626.96i q^{71} +(18838.8 - 20923.9i) q^{72} -45377.9 q^{73} +(26467.0 + 44047.5i) q^{74} +(28842.7 + 4715.36i) q^{75} +(-15982.5 - 52272.7i) q^{76} +(-87108.6 + 87108.6i) q^{77} +(-1552.29 + 6226.19i) q^{78} +107510. q^{79} +(6837.26 + 56833.5i) q^{80} -2937.97 q^{81} +(-10376.4 + 41619.4i) q^{82} +(54532.6 - 54532.6i) q^{83} +(51695.7 - 15806.1i) q^{84} +(-29379.7 + 57308.3i) q^{85} +(-2890.45 - 4810.40i) q^{86} +62837.2 q^{87} +(123284. - 6464.83i) q^{88} +14396.1i q^{89} +(32360.0 - 37040.4i) q^{90} +(15492.1 - 15492.1i) q^{91} +(26855.4 + 14278.6i) q^{92} +(19975.3 - 19975.3i) q^{93} +(-25913.3 + 103937. i) q^{94} +(-29282.1 - 90889.1i) q^{95} +(-49099.2 - 22892.3i) q^{96} -53496.0i q^{97} +(-86840.8 - 21650.9i) q^{98} +(-75005.9 - 75005.9i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 116q - 4q^{4} - 2q^{5} - 4q^{6} + O(q^{10}) \) \( 116q - 4q^{4} - 2q^{5} - 4q^{6} + 532q^{10} - 4q^{11} + 1108q^{14} - 4q^{15} + 1216q^{16} + 2356q^{19} + 824q^{20} - 976q^{21} - 2864q^{24} - 12104q^{26} - 4q^{29} + 736q^{30} + 23056q^{31} - 38304q^{34} - 3864q^{35} - 20588q^{36} + 15144q^{40} - 25536q^{44} + 6734q^{45} - 36052q^{46} + 220884q^{49} + 56116q^{50} - 9472q^{51} - 104360q^{54} - 2552q^{56} + 14476q^{59} + 1008q^{60} - 48084q^{61} + 72944q^{64} - 27692q^{65} - 56736q^{66} - 23296q^{69} + 135260q^{70} - 186128q^{74} - 33244q^{75} - 35824q^{76} + 427312q^{79} - 129128q^{80} - 551132q^{81} - 418448q^{84} + 6248q^{85} + 177516q^{86} + 449576q^{90} - 231952q^{91} + 607356q^{94} + 38420q^{95} - 440264q^{96} + 406924q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/80\mathbb{Z}\right)^\times\).

\(n\) \(17\) \(21\) \(31\)
\(\chi(n)\) \(-1\) \(e\left(\frac{3}{4}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −5.48884 1.36846i −0.970298 0.241912i
\(3\) 6.61300 6.61300i 0.424224 0.424224i −0.462431 0.886655i \(-0.653023\pi\)
0.886655 + 0.462431i \(0.153023\pi\)
\(4\) 28.2546 + 15.0225i 0.882957 + 0.469454i
\(5\) 49.7455 + 25.5026i 0.889875 + 0.456204i
\(6\) −45.3473 + 27.2480i −0.514249 + 0.308999i
\(7\) 180.633 1.39333 0.696663 0.717399i \(-0.254668\pi\)
0.696663 + 0.717399i \(0.254668\pi\)
\(8\) −134.527 121.121i −0.743165 0.669108i
\(9\) 155.536i 0.640068i
\(10\) −238.146 208.054i −0.753083 0.657926i
\(11\) −482.240 + 482.240i −1.20166 + 1.20166i −0.227999 + 0.973661i \(0.573218\pi\)
−0.973661 + 0.227999i \(0.926782\pi\)
\(12\) 286.192 87.5040i 0.573725 0.175418i
\(13\) 85.7657 85.7657i 0.140752 0.140752i −0.633220 0.773972i \(-0.718267\pi\)
0.773972 + 0.633220i \(0.218267\pi\)
\(14\) −991.466 247.189i −1.35194 0.337062i
\(15\) 497.616 160.319i 0.571039 0.183974i
\(16\) 572.648 + 848.911i 0.559227 + 0.829015i
\(17\) 1152.03i 0.966809i 0.875397 + 0.483405i \(0.160600\pi\)
−0.875397 + 0.483405i \(0.839400\pi\)
\(18\) 212.846 853.714i 0.154840 0.621057i
\(19\) −1207.86 1207.86i −0.767595 0.767595i 0.210087 0.977683i \(-0.432625\pi\)
−0.977683 + 0.210087i \(0.932625\pi\)
\(20\) 1022.43 + 1467.87i 0.571555 + 0.820564i
\(21\) 1194.53 1194.53i 0.591082 0.591082i
\(22\) 3306.86 1987.01i 1.45666 0.875273i
\(23\) 950.477 0.374647 0.187323 0.982298i \(-0.440019\pi\)
0.187323 + 0.982298i \(0.440019\pi\)
\(24\) −1690.60 + 88.6528i −0.599120 + 0.0314170i
\(25\) 1824.24 + 2537.28i 0.583755 + 0.811930i
\(26\) −588.120 + 353.387i −0.170621 + 0.102522i
\(27\) 2635.52 + 2635.52i 0.695756 + 0.695756i
\(28\) 5103.72 + 2713.56i 1.23025 + 0.654101i
\(29\) 4751.04 + 4751.04i 1.04904 + 1.04904i 0.998734 + 0.0503093i \(0.0160207\pi\)
0.0503093 + 0.998734i \(0.483979\pi\)
\(30\) −2950.72 + 198.994i −0.598584 + 0.0403680i
\(31\) 3020.61 0.564534 0.282267 0.959336i \(-0.408914\pi\)
0.282267 + 0.959336i \(0.408914\pi\)
\(32\) −1981.47 5443.18i −0.342068 0.939675i
\(33\) 6378.11i 1.01955i
\(34\) 1576.51 6323.29i 0.233883 0.938093i
\(35\) 8985.69 + 4606.61i 1.23989 + 0.635641i
\(36\) −2336.55 + 4394.63i −0.300482 + 0.565153i
\(37\) −6423.45 6423.45i −0.771372 0.771372i 0.206975 0.978346i \(-0.433638\pi\)
−0.978346 + 0.206975i \(0.933638\pi\)
\(38\) 4976.83 + 8282.65i 0.559106 + 0.930487i
\(39\) 1134.34i 0.119421i
\(40\) −3603.22 9456.05i −0.356074 0.934458i
\(41\) 7582.56i 0.704460i −0.935913 0.352230i \(-0.885424\pi\)
0.935913 0.352230i \(-0.114576\pi\)
\(42\) −8191.23 + 4921.90i −0.716516 + 0.430536i
\(43\) 701.501 + 701.501i 0.0578572 + 0.0578572i 0.735443 0.677586i \(-0.236974\pi\)
−0.677586 + 0.735443i \(0.736974\pi\)
\(44\) −20870.0 + 6381.06i −1.62514 + 0.496891i
\(45\) −3966.58 + 7737.25i −0.292002 + 0.569580i
\(46\) −5217.01 1300.69i −0.363519 0.0906316i
\(47\) 18936.1i 1.25039i −0.780469 0.625195i \(-0.785019\pi\)
0.780469 0.625195i \(-0.214981\pi\)
\(48\) 9400.77 + 1826.93i 0.588925 + 0.114451i
\(49\) 15821.3 0.941355
\(50\) −6540.76 16423.1i −0.370001 0.929031i
\(51\) 7618.36 + 7618.36i 0.410144 + 0.410144i
\(52\) 3711.69 1134.86i 0.190355 0.0582015i
\(53\) 16491.0 + 16491.0i 0.806412 + 0.806412i 0.984089 0.177677i \(-0.0568582\pi\)
−0.177677 + 0.984089i \(0.556858\pi\)
\(54\) −10859.3 18072.6i −0.506779 0.843403i
\(55\) −36287.7 + 11690.9i −1.61753 + 0.521125i
\(56\) −24300.1 21878.6i −1.03547 0.932285i
\(57\) −15975.1 −0.651265
\(58\) −19576.0 32579.3i −0.764108 1.27166i
\(59\) −3150.95 + 3150.95i −0.117845 + 0.117845i −0.763570 0.645725i \(-0.776555\pi\)
0.645725 + 0.763570i \(0.276555\pi\)
\(60\) 16468.3 + 2945.70i 0.590570 + 0.105636i
\(61\) −13648.7 13648.7i −0.469642 0.469642i 0.432157 0.901799i \(-0.357753\pi\)
−0.901799 + 0.432157i \(0.857753\pi\)
\(62\) −16579.6 4133.59i −0.547767 0.136568i
\(63\) 28095.1i 0.891823i
\(64\) 3427.18 + 32588.3i 0.104589 + 0.994515i
\(65\) 6453.70 2079.21i 0.189464 0.0610401i
\(66\) 8728.19 35008.4i 0.246640 0.989264i
\(67\) 30053.5 30053.5i 0.817914 0.817914i −0.167891 0.985806i \(-0.553696\pi\)
0.985806 + 0.167891i \(0.0536957\pi\)
\(68\) −17306.4 + 32550.1i −0.453872 + 0.853651i
\(69\) 6285.50 6285.50i 0.158934 0.158934i
\(70\) −43017.0 37581.5i −1.04929 0.916704i
\(71\) 6626.96i 0.156016i 0.996953 + 0.0780079i \(0.0248559\pi\)
−0.996953 + 0.0780079i \(0.975144\pi\)
\(72\) 18838.8 20923.9i 0.428274 0.475676i
\(73\) −45377.9 −0.996637 −0.498319 0.866994i \(-0.666049\pi\)
−0.498319 + 0.866994i \(0.666049\pi\)
\(74\) 26467.0 + 44047.5i 0.561857 + 0.935065i
\(75\) 28842.7 + 4715.36i 0.592083 + 0.0967970i
\(76\) −15982.5 52272.7i −0.317403 1.03810i
\(77\) −87108.6 + 87108.6i −1.67430 + 1.67430i
\(78\) −1552.29 + 6226.19i −0.0288893 + 0.115874i
\(79\) 107510. 1.93813 0.969064 0.246811i \(-0.0793826\pi\)
0.969064 + 0.246811i \(0.0793826\pi\)
\(80\) 6837.26 + 56833.5i 0.119442 + 0.992841i
\(81\) −2937.97 −0.0497547
\(82\) −10376.4 + 41619.4i −0.170417 + 0.683536i
\(83\) 54532.6 54532.6i 0.868882 0.868882i −0.123466 0.992349i \(-0.539401\pi\)
0.992349 + 0.123466i \(0.0394011\pi\)
\(84\) 51695.7 15806.1i 0.799386 0.244415i
\(85\) −29379.7 + 57308.3i −0.441063 + 0.860340i
\(86\) −2890.45 4810.40i −0.0421424 0.0701350i
\(87\) 62837.2 0.890059
\(88\) 123284. 6464.83i 1.69707 0.0889919i
\(89\) 14396.1i 0.192650i 0.995350 + 0.0963251i \(0.0307089\pi\)
−0.995350 + 0.0963251i \(0.969291\pi\)
\(90\) 32360.0 37040.4i 0.421117 0.482024i
\(91\) 15492.1 15492.1i 0.196113 0.196113i
\(92\) 26855.4 + 14278.6i 0.330797 + 0.175879i
\(93\) 19975.3 19975.3i 0.239489 0.239489i
\(94\) −25913.3 + 103937.i −0.302484 + 1.21325i
\(95\) −29282.1 90889.1i −0.332884 1.03324i
\(96\) −49099.2 22892.3i −0.543746 0.253519i
\(97\) 53496.0i 0.577288i −0.957437 0.288644i \(-0.906796\pi\)
0.957437 0.288644i \(-0.0932043\pi\)
\(98\) −86840.8 21650.9i −0.913395 0.227725i
\(99\) −75005.9 75005.9i −0.769144 0.769144i
\(100\) 13426.8 + 99094.5i 0.134268 + 0.990945i
\(101\) −100716. + 100716.i −0.982419 + 0.982419i −0.999848 0.0174291i \(-0.994452\pi\)
0.0174291 + 0.999848i \(0.494452\pi\)
\(102\) −31390.5 52241.4i −0.298743 0.497181i
\(103\) 113664. 1.05567 0.527836 0.849346i \(-0.323003\pi\)
0.527836 + 0.849346i \(0.323003\pi\)
\(104\) −21925.9 + 1149.76i −0.198780 + 0.0104237i
\(105\) 89885.9 28958.8i 0.795643 0.256335i
\(106\) −67949.0 113084.i −0.587379 0.977541i
\(107\) −37760.8 37760.8i −0.318847 0.318847i 0.529477 0.848324i \(-0.322388\pi\)
−0.848324 + 0.529477i \(0.822388\pi\)
\(108\) 34873.5 + 114058.i 0.287698 + 0.940948i
\(109\) −145724. 145724.i −1.17480 1.17480i −0.981050 0.193755i \(-0.937933\pi\)
−0.193755 0.981050i \(-0.562067\pi\)
\(110\) 215176. 14511.3i 1.69555 0.114347i
\(111\) −84956.5 −0.654469
\(112\) 103439. + 153342.i 0.779185 + 1.15509i
\(113\) 191100.i 1.40787i 0.710263 + 0.703937i \(0.248576\pi\)
−0.710263 + 0.703937i \(0.751424\pi\)
\(114\) 87684.9 + 21861.4i 0.631921 + 0.157549i
\(115\) 47282.0 + 24239.6i 0.333389 + 0.170915i
\(116\) 62866.3 + 205611.i 0.433783 + 1.41874i
\(117\) 13339.7 + 13339.7i 0.0900909 + 0.0900909i
\(118\) 21607.0 12983.1i 0.142853 0.0858367i
\(119\) 208095.i 1.34708i
\(120\) −86360.9 38704.7i −0.547475 0.245364i
\(121\) 304060.i 1.88797i
\(122\) 56237.8 + 93593.2i 0.342081 + 0.569305i
\(123\) −50143.5 50143.5i −0.298849 0.298849i
\(124\) 85346.2 + 45377.2i 0.498460 + 0.265023i
\(125\) 26040.4 + 172741.i 0.149064 + 0.988828i
\(126\) 38447.0 154209.i 0.215743 0.865334i
\(127\) 183279.i 1.00833i −0.863606 0.504167i \(-0.831800\pi\)
0.863606 0.504167i \(-0.168200\pi\)
\(128\) 25784.5 183562.i 0.139102 0.990278i
\(129\) 9278.05 0.0490888
\(130\) −38268.6 + 2580.81i −0.198602 + 0.0133936i
\(131\) −232885. 232885.i −1.18567 1.18567i −0.978253 0.207416i \(-0.933495\pi\)
−0.207416 0.978253i \(-0.566505\pi\)
\(132\) −95815.2 + 180211.i −0.478630 + 0.900216i
\(133\) −218179. 218179.i −1.06951 1.06951i
\(134\) −206086. + 123832.i −0.991484 + 0.595758i
\(135\) 63892.8 + 198318.i 0.301729 + 0.936543i
\(136\) 139535. 154979.i 0.646900 0.718499i
\(137\) 7580.74 0.0345072 0.0172536 0.999851i \(-0.494508\pi\)
0.0172536 + 0.999851i \(0.494508\pi\)
\(138\) −43101.6 + 25898.6i −0.192662 + 0.115765i
\(139\) −99564.5 + 99564.5i −0.437087 + 0.437087i −0.891030 0.453944i \(-0.850017\pi\)
0.453944 + 0.891030i \(0.350017\pi\)
\(140\) 184685. + 265146.i 0.796362 + 1.14331i
\(141\) −125224. 125224.i −0.530446 0.530446i
\(142\) 9068.74 36374.3i 0.0377421 0.151382i
\(143\) 82719.3i 0.338272i
\(144\) −132037. + 89067.7i −0.530626 + 0.357943i
\(145\) 115179. + 357506.i 0.454939 + 1.41210i
\(146\) 249072. + 62097.9i 0.967036 + 0.241099i
\(147\) 104627. 104627.i 0.399345 0.399345i
\(148\) −84995.8 277988.i −0.318965 1.04321i
\(149\) 99215.0 99215.0i 0.366110 0.366110i −0.499946 0.866056i \(-0.666647\pi\)
0.866056 + 0.499946i \(0.166647\pi\)
\(150\) −151860. 65351.9i −0.551081 0.237154i
\(151\) 144858.i 0.517011i −0.966010 0.258505i \(-0.916770\pi\)
0.966010 0.258505i \(-0.0832299\pi\)
\(152\) 16192.4 + 308788.i 0.0568462 + 1.08405i
\(153\) −179182. −0.618824
\(154\) 597329. 358920.i 2.02961 1.21954i
\(155\) 150262. + 77033.4i 0.502365 + 0.257543i
\(156\) 17040.6 32050.3i 0.0560626 0.105444i
\(157\) 280430. 280430.i 0.907977 0.907977i −0.0881314 0.996109i \(-0.528090\pi\)
0.996109 + 0.0881314i \(0.0280895\pi\)
\(158\) −590106. 147124.i −1.88056 0.468856i
\(159\) 218110. 0.684199
\(160\) 40245.9 321306.i 0.124286 0.992246i
\(161\) 171688. 0.522005
\(162\) 16126.0 + 4020.49i 0.0482769 + 0.0120363i
\(163\) 87680.4 87680.4i 0.258484 0.258484i −0.565953 0.824437i \(-0.691492\pi\)
0.824437 + 0.565953i \(0.191492\pi\)
\(164\) 113909. 214242.i 0.330711 0.622008i
\(165\) −162658. + 317282.i −0.465121 + 0.907269i
\(166\) −373946. + 224695.i −1.05327 + 0.632882i
\(167\) −459052. −1.27371 −0.636855 0.770983i \(-0.719765\pi\)
−0.636855 + 0.770983i \(0.719765\pi\)
\(168\) −305379. + 16013.6i −0.834769 + 0.0437740i
\(169\) 356582.i 0.960378i
\(170\) 239685. 274351.i 0.636089 0.728088i
\(171\) 187866. 187866.i 0.491313 0.491313i
\(172\) 9282.34 + 30359.0i 0.0239241 + 0.0782466i
\(173\) −132433. + 132433.i −0.336418 + 0.336418i −0.855017 0.518599i \(-0.826454\pi\)
0.518599 + 0.855017i \(0.326454\pi\)
\(174\) −344903. 85990.2i −0.863622 0.215316i
\(175\) 329518. + 458317.i 0.813361 + 1.13128i
\(176\) −685533. 133225.i −1.66819 0.324193i
\(177\) 41674.4i 0.0999854i
\(178\) 19700.5 79017.8i 0.0466044 0.186928i
\(179\) −524114. 524114.i −1.22263 1.22263i −0.966695 0.255930i \(-0.917618\pi\)
−0.255930 0.966695i \(-0.582382\pi\)
\(180\) −228307. + 159025.i −0.525217 + 0.365834i
\(181\) −428492. + 428492.i −0.972178 + 0.972178i −0.999623 0.0274449i \(-0.991263\pi\)
0.0274449 + 0.999623i \(0.491263\pi\)
\(182\) −106234. + 63833.4i −0.237731 + 0.142846i
\(183\) −180518. −0.398467
\(184\) −127865. 115123.i −0.278425 0.250679i
\(185\) −155723. 483352.i −0.334521 1.03833i
\(186\) −136976. + 82305.7i −0.290311 + 0.174441i
\(187\) −555554. 555554.i −1.16178 1.16178i
\(188\) 284468. 535032.i 0.587000 1.10404i
\(189\) 476063. + 476063.i 0.969415 + 0.969415i
\(190\) 36346.2 + 538947.i 0.0730423 + 1.08308i
\(191\) 301213. 0.597434 0.298717 0.954342i \(-0.403441\pi\)
0.298717 + 0.954342i \(0.403441\pi\)
\(192\) 238170. + 192842.i 0.466267 + 0.377528i
\(193\) 378699.i 0.731813i −0.930652 0.365907i \(-0.880759\pi\)
0.930652 0.365907i \(-0.119241\pi\)
\(194\) −73207.2 + 293631.i −0.139653 + 0.560141i
\(195\) 28928.5 56428.2i 0.0544803 0.106270i
\(196\) 447026. + 237676.i 0.831176 + 0.441922i
\(197\) −395086. 395086.i −0.725313 0.725313i 0.244369 0.969682i \(-0.421419\pi\)
−0.969682 + 0.244369i \(0.921419\pi\)
\(198\) 309053. + 514338.i 0.560234 + 0.932364i
\(199\) 498422.i 0.892205i 0.894982 + 0.446103i \(0.147188\pi\)
−0.894982 + 0.446103i \(0.852812\pi\)
\(200\) 61909.6 562287.i 0.109442 0.993993i
\(201\) 397487.i 0.693958i
\(202\) 690642. 414989.i 1.19090 0.715580i
\(203\) 858195. + 858195.i 1.46166 + 1.46166i
\(204\) 100807. + 329701.i 0.169596 + 0.554683i
\(205\) 193375. 377199.i 0.321378 0.626881i
\(206\) −623882. 155545.i −1.02432 0.255380i
\(207\) 147834.i 0.239799i
\(208\) 121921. + 23693.9i 0.195398 + 0.0379732i
\(209\) 1.16496e6 1.84478
\(210\) −532998. + 35945.0i −0.834022 + 0.0562458i
\(211\) 400256. + 400256.i 0.618916 + 0.618916i 0.945253 0.326338i \(-0.105815\pi\)
−0.326338 + 0.945253i \(0.605815\pi\)
\(212\) 218211. + 713683.i 0.333454 + 1.09060i
\(213\) 43824.1 + 43824.1i 0.0661857 + 0.0661857i
\(214\) 155589. + 258937.i 0.232243 + 0.386509i
\(215\) 17006.4 + 52786.6i 0.0250910 + 0.0778803i
\(216\) −35331.4 673768.i −0.0515259 0.982598i
\(217\) 545622. 0.786580
\(218\) 600439. + 999275.i 0.855712 + 1.42411i
\(219\) −300084. + 300084.i −0.422798 + 0.422798i
\(220\) −1.20092e6 214809.i −1.67285 0.299224i
\(221\) 98804.5 + 98804.5i 0.136080 + 0.136080i
\(222\) 466312. + 116260.i 0.635030 + 0.158324i
\(223\) 548571.i 0.738705i 0.929289 + 0.369352i \(0.120420\pi\)
−0.929289 + 0.369352i \(0.879580\pi\)
\(224\) −357919. 983219.i −0.476612 1.30927i
\(225\) −394640. + 283735.i −0.519690 + 0.373643i
\(226\) 261512. 1.04891e6i 0.340582 1.36606i
\(227\) −327258. + 327258.i −0.421528 + 0.421528i −0.885730 0.464202i \(-0.846341\pi\)
0.464202 + 0.885730i \(0.346341\pi\)
\(228\) −451372. 239987.i −0.575039 0.305739i
\(229\) −529209. + 529209.i −0.666865 + 0.666865i −0.956989 0.290124i \(-0.906304\pi\)
0.290124 + 0.956989i \(0.406304\pi\)
\(230\) −226352. 197751.i −0.282140 0.246490i
\(231\) 1.15210e6i 1.42056i
\(232\) −63691.6 1.21460e6i −0.0776895 1.48154i
\(233\) 1.41790e6 1.71103 0.855514 0.517779i \(-0.173241\pi\)
0.855514 + 0.517779i \(0.173241\pi\)
\(234\) −54964.5 91474.2i −0.0656210 0.109209i
\(235\) 482919. 941985.i 0.570433 1.11269i
\(236\) −136364. + 41693.7i −0.159375 + 0.0487293i
\(237\) 710965. 710965.i 0.822200 0.822200i
\(238\) 284769. 1.14220e6i 0.325875 1.30707i
\(239\) 431827. 0.489007 0.244503 0.969648i \(-0.421375\pi\)
0.244503 + 0.969648i \(0.421375\pi\)
\(240\) 421055. + 330625.i 0.471857 + 0.370517i
\(241\) 1.48829e6 1.65061 0.825307 0.564685i \(-0.191002\pi\)
0.825307 + 0.564685i \(0.191002\pi\)
\(242\) −416094. + 1.66894e6i −0.456723 + 1.83190i
\(243\) −659860. + 659860.i −0.716863 + 0.716863i
\(244\) −180601. 590677.i −0.194199 0.635149i
\(245\) 787041. + 403485.i 0.837688 + 0.429450i
\(246\) 206610. + 343849.i 0.217677 + 0.362268i
\(247\) −207186. −0.216081
\(248\) −406354. 365861.i −0.419542 0.377734i
\(249\) 721248.i 0.737202i
\(250\) 93458.1 983783.i 0.0945730 0.995518i
\(251\) −37098.0 + 37098.0i −0.0371677 + 0.0371677i −0.725446 0.688279i \(-0.758367\pi\)
0.688279 + 0.725446i \(0.258367\pi\)
\(252\) −422058. + 793815.i −0.418669 + 0.787441i
\(253\) −458358. + 458358.i −0.450198 + 0.450198i
\(254\) −250811. + 1.00599e6i −0.243928 + 0.978384i
\(255\) 184692. + 573267.i 0.177867 + 0.552086i
\(256\) −392724. + 972255.i −0.374531 + 0.927214i
\(257\) 1.07734e6i 1.01747i −0.860924 0.508734i \(-0.830114\pi\)
0.860924 0.508734i \(-0.169886\pi\)
\(258\) −50925.7 12696.6i −0.0476308 0.0118752i
\(259\) −1.16029e6 1.16029e6i −1.07477 1.07477i
\(260\) 213582. + 38203.5i 0.195944 + 0.0350485i
\(261\) −738959. + 738959.i −0.671459 + 0.671459i
\(262\) 959573. + 1.59696e6i 0.863625 + 1.43728i
\(263\) −448419. −0.399755 −0.199878 0.979821i \(-0.564054\pi\)
−0.199878 + 0.979821i \(0.564054\pi\)
\(264\) 772526. 858029.i 0.682186 0.757691i
\(265\) 399790. + 1.24092e6i 0.349717 + 1.08549i
\(266\) 898981. + 1.49612e6i 0.779016 + 1.29647i
\(267\) 95201.4 + 95201.4i 0.0817269 + 0.0817269i
\(268\) 1.30063e6 397671.i 1.10616 0.338211i
\(269\) −585909. 585909.i −0.493684 0.493684i 0.415781 0.909465i \(-0.363508\pi\)
−0.909465 + 0.415781i \(0.863508\pi\)
\(270\) −79306.5 1.17597e6i −0.0662063 0.981718i
\(271\) 285873. 0.236456 0.118228 0.992986i \(-0.462279\pi\)
0.118228 + 0.992986i \(0.462279\pi\)
\(272\) −977970. + 659707.i −0.801499 + 0.540666i
\(273\) 204899.i 0.166392i
\(274\) −41609.4 10373.9i −0.0334823 0.00834771i
\(275\) −2.10330e6 343859.i −1.67714 0.274188i
\(276\) 272019. 83170.5i 0.214944 0.0657199i
\(277\) −1.24059e6 1.24059e6i −0.971470 0.971470i 0.0281345 0.999604i \(-0.491043\pi\)
−0.999604 + 0.0281345i \(0.991043\pi\)
\(278\) 682743. 410243.i 0.529841 0.318368i
\(279\) 469815.i 0.361340i
\(280\) −650861. 1.70808e6i −0.496128 1.30200i
\(281\) 436208.i 0.329555i 0.986331 + 0.164777i \(0.0526906\pi\)
−0.986331 + 0.164777i \(0.947309\pi\)
\(282\) 515971. + 858700.i 0.386369 + 0.643011i
\(283\) −314715. 314715.i −0.233589 0.233589i 0.580600 0.814189i \(-0.302818\pi\)
−0.814189 + 0.580600i \(0.802818\pi\)
\(284\) −99553.7 + 187242.i −0.0732422 + 0.137755i
\(285\) −794692. 407408.i −0.579544 0.297110i
\(286\) 113198. 454032.i 0.0818322 0.328225i
\(287\) 1.36966e6i 0.981542i
\(288\) 846613. 308191.i 0.601456 0.218947i
\(289\) 92687.6 0.0652795
\(290\) −142965. 2.11991e6i −0.0998241 1.48021i
\(291\) −353769. 353769.i −0.244899 0.244899i
\(292\) −1.28214e6 681690.i −0.879988 0.467875i
\(293\) 293479. + 293479.i 0.199714 + 0.199714i 0.799877 0.600163i \(-0.204898\pi\)
−0.600163 + 0.799877i \(0.704898\pi\)
\(294\) −717455. + 431101.i −0.484091 + 0.290878i
\(295\) −237103. + 76388.2i −0.158629 + 0.0511059i
\(296\) 86111.6 + 1.64215e6i 0.0571258 + 1.08939i
\(297\) −2.54191e6 −1.67212
\(298\) −680347. + 408803.i −0.443803 + 0.266670i
\(299\) 81518.3 81518.3i 0.0527323 0.0527323i
\(300\) 744103. + 566521.i 0.477342 + 0.363423i
\(301\) 126714. + 126714.i 0.0806138 + 0.0806138i
\(302\) −198232. + 795100.i −0.125071 + 0.501654i
\(303\) 1.33207e6i 0.833532i
\(304\) 333687. 1.71704e6i 0.207088 1.06561i
\(305\) −330885. 1.02704e6i −0.203670 0.632175i
\(306\) 983503. + 245204.i 0.600443 + 0.149701i
\(307\) 1.71858e6 1.71858e6i 1.04070 1.04070i 0.0415615 0.999136i \(-0.486767\pi\)
0.999136 0.0415615i \(-0.0132332\pi\)
\(308\) −3.76981e6 + 1.15263e6i −2.26435 + 0.692330i
\(309\) 751659. 751659.i 0.447842 0.447842i
\(310\) −719345. 628451.i −0.425141 0.371422i
\(311\) 2.37015e6i 1.38956i −0.719225 0.694778i \(-0.755503\pi\)
0.719225 0.694778i \(-0.244497\pi\)
\(312\) −137392. + 152599.i −0.0799055 + 0.0887495i
\(313\) 1.04515e6 0.602998 0.301499 0.953466i \(-0.402513\pi\)
0.301499 + 0.953466i \(0.402513\pi\)
\(314\) −1.92299e6 + 1.15548e6i −1.10066 + 0.661358i
\(315\) −716497. + 1.39760e6i −0.406853 + 0.793611i
\(316\) 3.03766e6 + 1.61507e6i 1.71128 + 0.909861i
\(317\) −457830. + 457830.i −0.255891 + 0.255891i −0.823381 0.567489i \(-0.807915\pi\)
0.567489 + 0.823381i \(0.307915\pi\)
\(318\) −1.19717e6 298475.i −0.663877 0.165516i
\(319\) −4.58228e6 −2.52119
\(320\) −660599. + 1.70852e6i −0.360631 + 0.932709i
\(321\) −499424. −0.270525
\(322\) −942366. 234948.i −0.506500 0.126279i
\(323\) 1.39149e6 1.39149e6i 0.742118 0.742118i
\(324\) −83011.2 44135.6i −0.0439313 0.0233575i
\(325\) 374068. + 61154.7i 0.196446 + 0.0321160i
\(326\) −601250. + 361276.i −0.313337 + 0.188276i
\(327\) −1.92735e6 −0.996761
\(328\) −918411. + 1.02006e6i −0.471360 + 0.523530i
\(329\) 3.42048e6i 1.74220i
\(330\) 1.32699e6 1.51892e6i 0.670786 0.767803i
\(331\) −507646. + 507646.i −0.254678 + 0.254678i −0.822885 0.568208i \(-0.807637\pi\)
0.568208 + 0.822885i \(0.307637\pi\)
\(332\) 2.36002e6 721582.i 1.17509 0.359286i
\(333\) 999080. 999080.i 0.493730 0.493730i
\(334\) 2.51966e6 + 628195.i 1.23588 + 0.308126i
\(335\) 2.26147e6 728585.i 1.10098 0.354706i
\(336\) 1.69809e6 + 330004.i 0.820565 + 0.159467i
\(337\) 1.00658e6i 0.482805i −0.970425 0.241403i \(-0.922393\pi\)
0.970425 0.241403i \(-0.0776075\pi\)
\(338\) 487968. 1.95722e6i 0.232327 0.931853i
\(339\) 1.26374e6 + 1.26374e6i 0.597254 + 0.597254i
\(340\) −1.69103e6 + 1.17787e6i −0.793329 + 0.552585i
\(341\) −1.45666e6 + 1.45666e6i −0.678378 + 0.678378i
\(342\) −1.28825e6 + 774079.i −0.595575 + 0.357866i
\(343\) −178041. −0.0817118
\(344\) −9404.20 179338.i −0.00428475 0.0817101i
\(345\) 472972. 152379.i 0.213938 0.0689251i
\(346\) 908129. 545672.i 0.407810 0.245042i
\(347\) 1.11860e6 + 1.11860e6i 0.498713 + 0.498713i 0.911037 0.412324i \(-0.135283\pi\)
−0.412324 + 0.911037i \(0.635283\pi\)
\(348\) 1.77544e6 + 943972.i 0.785884 + 0.417841i
\(349\) 2.57009e6 + 2.57009e6i 1.12950 + 1.12950i 0.990259 + 0.139237i \(0.0444650\pi\)
0.139237 + 0.990259i \(0.455535\pi\)
\(350\) −1.18148e6 2.96656e6i −0.515532 1.29444i
\(351\) 452074. 0.195858
\(352\) 3.58046e6 + 1.66938e6i 1.54022 + 0.718120i
\(353\) 2.67361e6i 1.14199i 0.820955 + 0.570993i \(0.193442\pi\)
−0.820955 + 0.570993i \(0.806558\pi\)
\(354\) 57029.8 228744.i 0.0241877 0.0970156i
\(355\) −169005. + 329662.i −0.0711751 + 0.138835i
\(356\) −216266. + 406756.i −0.0904404 + 0.170102i
\(357\) 1.37613e6 + 1.37613e6i 0.571464 + 0.571464i
\(358\) 2.15955e6 + 3.59401e6i 0.890543 + 1.48208i
\(359\) 1.93780e6i 0.793547i −0.917917 0.396773i \(-0.870130\pi\)
0.917917 0.396773i \(-0.129870\pi\)
\(360\) 1.47076e6 560432.i 0.598116 0.227912i
\(361\) 441749.i 0.178405i
\(362\) 2.93829e6 1.76555e6i 1.17848 0.708121i
\(363\) −2.01075e6 2.01075e6i −0.800924 0.800924i
\(364\) 670455. 204994.i 0.265226 0.0810936i
\(365\) −2.25735e6 1.15725e6i −0.886883 0.454670i
\(366\) 990832. + 247032.i 0.386632 + 0.0963939i
\(367\) 1.20372e6i 0.466510i −0.972416 0.233255i \(-0.925062\pi\)
0.972416 0.233255i \(-0.0749377\pi\)
\(368\) 544289. + 806871.i 0.209513 + 0.310588i
\(369\) 1.17936e6 0.450902
\(370\) 193290. + 2.86614e6i 0.0734017 + 1.08841i
\(371\) 2.97882e6 + 2.97882e6i 1.12359 + 1.12359i
\(372\) 864473. 264315.i 0.323888 0.0990296i
\(373\) −54942.3 54942.3i −0.0204473 0.0204473i 0.696809 0.717256i \(-0.254602\pi\)
−0.717256 + 0.696809i \(0.754602\pi\)
\(374\) 2.28909e6 + 3.80960e6i 0.846222 + 1.40832i
\(375\) 1.31454e6 + 970132.i 0.482721 + 0.356248i
\(376\) −2.29357e6 + 2.54742e6i −0.836646 + 0.929246i
\(377\) 814951. 0.295310
\(378\) −1.96156e6 3.26450e6i −0.706108 1.17513i
\(379\) 171099. 171099.i 0.0611856 0.0611856i −0.675852 0.737037i \(-0.736224\pi\)
0.737037 + 0.675852i \(0.236224\pi\)
\(380\) 538030. 3.00793e6i 0.191138 1.06858i
\(381\) −1.21203e6 1.21203e6i −0.427759 0.427759i
\(382\) −1.65331e6 412198.i −0.579689 0.144526i
\(383\) 174611.i 0.0608240i −0.999537 0.0304120i \(-0.990318\pi\)
0.999537 0.0304120i \(-0.00968194\pi\)
\(384\) −1.04338e6 1.38441e6i −0.361089 0.479110i
\(385\) −6.55476e6 + 2.11177e6i −2.25374 + 0.726096i
\(386\) −518234. + 2.07861e6i −0.177034 + 0.710077i
\(387\) −109109. + 109109.i −0.0370325 + 0.0370325i
\(388\) 803645. 1.51151e6i 0.271010 0.509720i
\(389\) 2.32384e6 2.32384e6i 0.778631 0.778631i −0.200967 0.979598i \(-0.564408\pi\)
0.979598 + 0.200967i \(0.0644084\pi\)
\(390\) −236004. + 270137.i −0.0785701 + 0.0899338i
\(391\) 1.09498e6i 0.362212i
\(392\) −2.12840e6 1.91630e6i −0.699582 0.629868i
\(393\) −3.08014e6 −1.00598
\(394\) 1.62790e6 + 2.70922e6i 0.528308 + 0.879232i
\(395\) 5.34816e6 + 2.74179e6i 1.72469 + 0.884182i
\(396\) −992487. 3.24604e6i −0.318044 1.04020i
\(397\) −319592. + 319592.i −0.101770 + 0.101770i −0.756158 0.654389i \(-0.772926\pi\)
0.654389 + 0.756158i \(0.272926\pi\)
\(398\) 682071. 2.73576e6i 0.215835 0.865705i
\(399\) −2.88564e6 −0.907424
\(400\) −1.10928e6 + 3.00158e6i −0.346650 + 0.937995i
\(401\) −3.10654e6 −0.964751 −0.482376 0.875964i \(-0.660226\pi\)
−0.482376 + 0.875964i \(0.660226\pi\)
\(402\) −543946. + 2.18174e6i −0.167877 + 0.673346i
\(403\) 259065. 259065.i 0.0794594 0.0794594i
\(404\) −4.35872e6 + 1.33269e6i −1.32863 + 0.406234i
\(405\) −146151. 74925.8i −0.0442755 0.0226983i
\(406\) −3.53608e6 5.88490e6i −1.06465 1.77184i
\(407\) 6.19529e6 1.85385
\(408\) −102130. 1.94762e6i −0.0303742 0.579235i
\(409\) 4.80829e6i 1.42129i 0.703552 + 0.710644i \(0.251596\pi\)
−0.703552 + 0.710644i \(0.748404\pi\)
\(410\) −1.57758e6 + 1.80575e6i −0.463482 + 0.530517i
\(411\) 50131.4 50131.4i 0.0146388 0.0146388i
\(412\) 3.21153e6 + 1.70752e6i 0.932114 + 0.495589i
\(413\) −569166. + 569166.i −0.164196 + 0.164196i
\(414\) 202305. 811436.i 0.0580103 0.232677i
\(415\) 4.10348e6 1.32203e6i 1.16958 0.376809i
\(416\) −636780. 296896.i −0.180408 0.0841145i
\(417\) 1.31684e6i 0.370845i
\(418\) −6.39425e6 1.59420e6i −1.78998 0.446274i
\(419\) −738866. 738866.i −0.205603 0.205603i 0.596792 0.802396i \(-0.296442\pi\)
−0.802396 + 0.596792i \(0.796442\pi\)
\(420\) 2.97473e6 + 532091.i 0.822856 + 0.147185i
\(421\) 2.83404e6 2.83404e6i 0.779292 0.779292i −0.200419 0.979710i \(-0.564230\pi\)
0.979710 + 0.200419i \(0.0642303\pi\)
\(422\) −1.64920e6 2.74467e6i −0.450810 0.750256i
\(423\) 2.94525e6 0.800334
\(424\) −221075. 4.21590e6i −0.0597208 1.13887i
\(425\) −2.92302e6 + 2.10157e6i −0.784981 + 0.564380i
\(426\) −180572. 300515.i −0.0482087 0.0802310i
\(427\) −2.46541e6 2.46541e6i −0.654364 0.654364i
\(428\) −499655. 1.63418e6i −0.131844 0.431212i
\(429\) 547022. + 547022.i 0.143503 + 0.143503i
\(430\) −21109.1 313010.i −0.00550553 0.0816369i
\(431\) 2.67868e6 0.694588 0.347294 0.937756i \(-0.387101\pi\)
0.347294 + 0.937756i \(0.387101\pi\)
\(432\) −728097. + 3.74655e6i −0.187707 + 0.965878i
\(433\) 3.12848e6i 0.801888i 0.916103 + 0.400944i \(0.131318\pi\)
−0.916103 + 0.400944i \(0.868682\pi\)
\(434\) −2.99483e6 746663.i −0.763217 0.190283i
\(435\) 3.12587e6 + 1.60251e6i 0.792041 + 0.406048i
\(436\) −1.92824e6 6.30653e6i −0.485786 1.58882i
\(437\) −1.14804e6 1.14804e6i −0.287577 0.287577i
\(438\) 2.05776e6 1.23646e6i 0.512520 0.307960i
\(439\) 79281.8i 0.0196342i 0.999952 + 0.00981708i \(0.00312492\pi\)
−0.999952 + 0.00981708i \(0.996875\pi\)
\(440\) 6.29770e6 + 2.82247e6i 1.55078 + 0.695020i
\(441\) 2.46080e6i 0.602531i
\(442\) −407111. 677531.i −0.0991192 0.164958i
\(443\) −4.52736e6 4.52736e6i −1.09606 1.09606i −0.994866 0.101198i \(-0.967733\pi\)
−0.101198 0.994866i \(1.46773\pi\)
\(444\) −2.40041e6 1.27626e6i −0.577868 0.307243i
\(445\) −367138. + 716141.i −0.0878879 + 0.171435i
\(446\) 750698. 3.01102e6i 0.178702 0.716764i
\(447\) 1.31222e6i 0.310626i
\(448\) 619063. + 5.88653e6i 0.145727 + 1.38568i
\(449\) 4.22239e6 0.988421 0.494211 0.869342i \(-0.335457\pi\)
0.494211 + 0.869342i \(0.335457\pi\)
\(450\) 2.55439e6 1.01733e6i 0.594643 0.236826i
\(451\) 3.65661e6 + 3.65661e6i 0.846521 + 0.846521i
\(452\) −2.87080e6 + 5.39945e6i −0.660931 + 1.24309i
\(453\) −957944. 957944.i −0.219328 0.219328i
\(454\) 2.24411e6 1.34843e6i 0.510980 0.307035i
\(455\) 1.16575e6 375575.i 0.263984 0.0850487i
\(456\) 2.14909e6 + 1.93493e6i 0.483997 + 0.435766i
\(457\) 1.75807e6 0.393773 0.196886 0.980426i \(-0.436917\pi\)
0.196886 + 0.980426i \(0.436917\pi\)
\(458\) 3.62894e6 2.18054e6i 0.808381 0.485736i
\(459\) −3.03620e6 + 3.03620e6i −0.672664 + 0.672664i
\(460\) 971795. + 1.39518e6i 0.214131 + 0.307422i
\(461\) 826496. + 826496.i 0.181129 + 0.181129i 0.791848 0.610719i \(-0.209119\pi\)
−0.610719 + 0.791848i \(0.709119\pi\)
\(462\) 1.57660e6 6.32367e6i 0.343650 1.37837i
\(463\) 1.50365e6i 0.325982i −0.986628 0.162991i \(-0.947886\pi\)
0.986628 0.162991i \(-0.0521141\pi\)
\(464\) −1.31253e6 + 6.75388e6i −0.283019 + 1.45632i
\(465\) 1.50310e6 484260.i 0.322371 0.103859i
\(466\) −7.78264e6 1.94035e6i −1.66021 0.413918i
\(467\) −6.43293e6 + 6.43293e6i −1.36495 + 1.36495i −0.497467 + 0.867483i \(0.665736\pi\)
−0.867483 + 0.497467i \(0.834264\pi\)
\(468\) 176512. + 577304.i 0.0372529 + 0.121840i
\(469\) 5.42866e6 5.42866e6i 1.13962 1.13962i
\(470\) −3.93973e6 + 4.50955e6i −0.822664 + 0.941647i
\(471\) 3.70896e6i 0.770372i
\(472\) 805536. 42241.1i 0.166429 0.00872730i
\(473\) −676584. −0.139049
\(474\) −4.87530e6 + 2.92944e6i −0.996680 + 0.598879i
\(475\) 861257. 5.26810e6i 0.175145 1.07132i
\(476\) −3.12610e6 + 5.87963e6i −0.632391 + 1.18941i
\(477\) −2.56495e6 + 2.56495e6i −0.516158 + 0.516158i
\(478\) −2.37023e6 590938.i −0.474483 0.118297i
\(479\) −3.90308e6 −0.777265 −0.388632 0.921393i \(-0.627052\pi\)
−0.388632 + 0.921393i \(0.627052\pi\)
\(480\) −1.85865e6 2.39095e6i −0.368210 0.473660i
\(481\) −1.10182e6 −0.217144
\(482\) −8.16899e6 2.03667e6i −1.60159 0.399303i
\(483\) 1.13537e6 1.13537e6i 0.221447 0.221447i
\(484\) 4.56775e6 8.59110e6i 0.886316 1.66700i
\(485\) 1.36429e6 2.66119e6i 0.263361 0.513714i
\(486\) 4.52486e6 2.71887e6i 0.868989 0.522153i
\(487\) −245075. −0.0468248 −0.0234124 0.999726i \(-0.507453\pi\)
−0.0234124 + 0.999726i \(0.507453\pi\)
\(488\) 182972. + 3.48928e6i 0.0347805 + 0.663263i
\(489\) 1.15966e6i 0.219310i
\(490\) −3.76779e6 3.29170e6i −0.708918 0.619341i
\(491\) 3.93841e6 3.93841e6i 0.737254 0.737254i −0.234792 0.972046i \(-0.575441\pi\)
0.972046 + 0.234792i \(0.0754409\pi\)
\(492\) −663504. 2.17007e6i −0.123575 0.404166i
\(493\) −5.47333e6 + 5.47333e6i −1.01422 + 1.01422i
\(494\) 1.13721e6 + 283525.i 0.209663 + 0.0522727i
\(495\) −1.81836e6 5.64406e6i −0.333555 1.03533i
\(496\) 1.72975e6 + 2.56423e6i 0.315703 + 0.468007i
\(497\) 1.19705e6i 0.217381i
\(498\) −987000. + 3.95881e6i −0.178338 + 0.715305i
\(499\) 1.06957e6 + 1.06957e6i 0.192291 + 0.192291i 0.796685 0.604395i \(-0.206585\pi\)
−0.604395 + 0.796685i \(0.706585\pi\)
\(500\) −1.85924e6 + 5.27193e6i −0.332592 + 0.943071i
\(501\) −3.03571e6 + 3.03571e6i −0.540339 + 0.540339i
\(502\) 254392. 152857.i 0.0450551 0.0270724i
\(503\) 1.40071e6 0.246848 0.123424 0.992354i \(-0.460612\pi\)
0.123424 + 0.992354i \(0.460612\pi\)
\(504\) 3.40291e6 3.77955e6i 0.596726 0.662772i
\(505\) −7.57872e6 + 2.44166e6i −1.32241 + 0.426047i
\(506\) 3.14310e6 1.88861e6i 0.545735 0.327918i
\(507\) 2.35807e6 + 2.35807e6i 0.407415 + 0.407415i
\(508\) 2.75332e6 5.17849e6i 0.473366 0.890315i
\(509\) 5.07930e6 + 5.07930e6i 0.868980 + 0.868980i 0.992360 0.123380i \(-0.0393733\pi\)
−0.123380 + 0.992360i \(0.539373\pi\)
\(510\) −229247. 3.39931e6i −0.0390282 0.578716i
\(511\) −8.19675e6 −1.38864
\(512\) 3.48609e6 4.79912e6i 0.587711 0.809071i
\(513\) 6.36668e6i 1.06812i
\(514\) −1.47430e6 + 5.91335e6i −0.246138 + 0.987247i
\(515\) 5.65427e6 + 2.89872e6i 0.939417 + 0.481602i
\(516\) 262148. + 139380.i 0.0433433 + 0.0230449i
\(517\) 9.13174e6 + 9.13174e6i 1.50254 + 1.50254i
\(518\) 4.78082e6 + 7.95643e6i 0.782849 + 1.30285i
\(519\) 1.75155e6i 0.285433i
\(520\) −1.12004e6 501971.i −0.181645 0.0814087i
\(521\) 8.31440e6i 1.34195i −0.741480 0.670975i \(-0.765876\pi\)
0.741480 0.670975i \(-0.234124\pi\)
\(522\) 5.06726e6 3.04479e6i 0.813949 0.489081i
\(523\) 3.45269e6 + 3.45269e6i 0.551954 + 0.551954i 0.927004 0.375050i \(-0.122375\pi\)
−0.375050 + 0.927004i \(0.622375\pi\)
\(524\) −3.08156e6 1.00786e7i −0.490278 1.60351i
\(525\) 5.20995e6 + 851751.i 0.824964 + 0.134870i
\(526\) 2.46130e6 + 613643.i 0.387882 + 0.0967056i
\(527\) 3.47983e6i 0.545797i
\(528\) −5.41445e6 + 3.65241e6i −0.845219 + 0.570158i
\(529\) −5.53294e6 −0.859640
\(530\) −496237. 7.35828e6i −0.0767360 1.13785i
\(531\) −490087. 490087.i −0.0754288 0.0754288i
\(532\) −2.88698e6 9.44218e6i −0.442246 1.44642i
\(533\) −650323. 650323.i −0.0991542 0.0991542i
\(534\) −392265. 652824.i −0.0595287 0.0990702i
\(535\) −915433. 2.84143e6i −0.138275 0.429193i
\(536\) −7.68314e6 + 402892.i −1.15512 + 0.0605727i
\(537\) −6.93193e6 −1.03733
\(538\) 2.41416e6 + 4.01775e6i 0.359593 + 0.598449i
\(539\) −7.62969e6 + 7.62969e6i −1.13119 + 1.13119i
\(540\) −1.17397e6 + 6.56323e6i −0.173249 + 0.968575i
\(541\) −7.49612e6 7.49612e6i −1.10114 1.10114i −0.994273 0.106869i \(-0.965917\pi\)
−0.106869 0.994273i \(-0.534083\pi\)
\(542\) −1.56911e6 391206.i −0.229433 0.0572015i
\(543\) 5.66723e6i 0.824843i
\(544\) 6.27070e6 2.28271e6i 0.908487 0.330715i
\(545\) −3.53279e6 1.09655e7i −0.509479 1.58138i
\(546\) −280396. + 1.12466e6i −0.0402523 + 0.161450i
\(547\) −1.45538e6 + 1.45538e6i −0.207973 + 0.207973i −0.803406 0.595432i \(-0.796981\pi\)
0.595432 + 0.803406i \(0.296981\pi\)
\(548\) 214191. + 113882.i 0.0304684 + 0.0161995i
\(549\) 2.12287e6 2.12287e6i 0.300603 0.300603i
\(550\) 1.10741e7 + 4.76566e6i 1.56100 + 0.671764i
\(551\) 1.14772e7i 1.61048i
\(552\) −1.60688e6 + 84262.4i −0.224459 + 0.0117703i
\(553\) 1.94199e7 2.70044
\(554\) 5.11170e6 + 8.50710e6i 0.707605 + 1.17763i
\(555\) −4.22620e6 2.16661e6i −0.582396 0.298571i
\(556\) −4.30887e6 + 1.31745e6i −0.591120 + 0.180737i
\(557\) 3.94460e6 3.94460e6i 0.538723 0.538723i −0.384431 0.923154i \(-0.625602\pi\)
0.923154 + 0.384431i \(0.125602\pi\)
\(558\) 642924. 2.57874e6i 0.0874126 0.350608i
\(559\) 120329. 0.0162870
\(560\) 1.23504e6 + 1.02660e7i 0.166421 + 1.38335i
\(561\) −7.34776e6 −0.985707
\(562\) 596933. 2.39427e6i 0.0797233 0.319766i
\(563\) 8.11291e6 8.11291e6i 1.07871 1.07871i 0.0820870 0.996625i \(-0.473841\pi\)
0.996625 0.0820870i \(-0.0261586\pi\)
\(564\) −1.65698e6 5.41935e6i −0.219341 0.717380i
\(565\) −4.87354e6 + 9.50635e6i −0.642278 + 1.25283i
\(566\) 1.29674e6 + 2.15810e6i 0.170143 + 0.283158i
\(567\) −530694. −0.0693245
\(568\) 802668. 891508.i 0.104391 0.115946i
\(569\) 1.10526e7i 1.43115i 0.698535 + 0.715576i \(0.253836\pi\)
−0.698535 + 0.715576i \(0.746164\pi\)
\(570\) 3.80441e6 + 3.32370e6i 0.490456 + 0.428484i
\(571\) −1.87413e6 + 1.87413e6i −0.240552 + 0.240552i −0.817079 0.576526i \(-0.804408\pi\)
0.576526 + 0.817079i \(0.304408\pi\)
\(572\) −1.24265e6 + 2.33720e6i −0.158803 + 0.298680i
\(573\) 1.99192e6 1.99192e6i 0.253446 0.253446i
\(574\) −1.87433e6 + 7.51785e6i −0.237447 + 0.952388i
\(575\) 1.73389e6 + 2.41163e6i 0.218702 + 0.304187i
\(576\) −5.06867e6 + 533052.i −0.636557 + 0.0669443i
\(577\) 1.55810e6i 0.194829i 0.995244 + 0.0974147i \(0.0310573\pi\)
−0.995244 + 0.0974147i \(0.968943\pi\)
\(578\) −508747. 126839.i −0.0633406 0.0157919i
\(579\) −2.50433e6 2.50433e6i −0.310453 0.310453i
\(580\) −2.11630e6 + 1.18315e7i −0.261221 + 1.46039i
\(581\) 9.85040e6 9.85040e6i 1.21064 1.21064i
\(582\) 1.45766e6 + 2.42590e6i 0.178381 + 0.296869i
\(583\) −1.59052e7 −1.93807
\(584\) 6.10457e6 + 5.49624e6i 0.740666 + 0.666858i
\(585\) 323393. + 1.00379e6i 0.0390698 + 0.121270i
\(586\) −1.20924e6 2.01247e6i −0.145469 0.242095i
\(587\) 5.77821e6 + 5.77821e6i 0.692147 + 0.692147i 0.962704 0.270557i \(-0.0872080\pi\)
−0.270557 + 0.962704i \(0.587208\pi\)
\(588\) 4.52794e6 1.38443e6i 0.540079 0.165131i
\(589\) −3.64847e6 3.64847e6i −0.433334 0.433334i
\(590\) 1.40595e6 94816.4i 0.166280 0.0112138i
\(591\) −5.22540e6 −0.615391
\(592\) 1.77456e6 9.13131e6i 0.208107 1.07085i
\(593\) 4.47682e6i 0.522797i −0.965231 0.261398i \(-0.915816\pi\)
0.965231 0.261398i \(-0.0841837\pi\)
\(594\) 1.39521e7 + 3.47850e6i 1.62246 + 0.404507i
\(595\) −5.30695e6 + 1.03518e7i −0.614544 + 1.19873i
\(596\) 4.29374e6 1.31282e6i 0.495131 0.151388i
\(597\) 3.29607e6 + 3.29607e6i 0.378495 + 0.378495i
\(598\) −558995. + 335886.i −0.0639227 + 0.0384095i
\(599\) 285208.i 0.0324784i 0.999868 + 0.0162392i \(0.00516932\pi\)
−0.999868 + 0.0162392i \(0.994831\pi\)
\(600\) −3.30900e6 4.12781e6i −0.375248 0.468104i
\(601\) 6.18050e6i 0.697971i 0.937128 + 0.348986i \(0.113474\pi\)
−0.937128 + 0.348986i \(0.886526\pi\)
\(602\) −522111. 868918.i −0.0587180 0.0977209i
\(603\) 4.67441e6 + 4.67441e6i 0.523521 + 0.523521i
\(604\) 2.17613e6 4.09290e6i 0.242712 0.456498i
\(605\) 7.75432e6 1.51256e7i 0.861301 1.68006i
\(606\) 1.82289e6 7.31154e6i 0.201641 0.808774i
\(607\) 2.38265e6i 0.262476i 0.991351 + 0.131238i \(0.0418952\pi\)
−0.991351 + 0.131238i \(0.958105\pi\)
\(608\) −4.18126e6 + 8.96793e6i −0.458720 + 0.983860i
\(609\) 1.13505e7 1.24014
\(610\) 410709. + 6.09005e6i 0.0446899 + 0.662669i
\(611\) −1.62407e6 1.62407e6i −0.175995 0.175995i
\(612\) −5.06273e6 2.69177e6i −0.546395 0.290509i
\(613\) −7.87449e6 7.87449e6i −0.846392 0.846392i 0.143289 0.989681i \(-0.454232\pi\)
−0.989681 + 0.143289i \(0.954232\pi\)
\(614\) −1.17848e7 + 7.08120e6i −1.26154 + 0.758030i
\(615\) −1.21563e6 3.77320e6i −0.129602 0.402274i
\(616\) 2.22692e7 1.16776e6i 2.36457 0.123995i
\(617\) −1.66343e6 −0.175910 −0.0879550 0.996124i \(-0.528033\pi\)
−0.0879550 + 0.996124i \(0.528033\pi\)
\(618\) −5.15435e6 + 3.09712e6i −0.542878 + 0.326202i
\(619\) −6.46110e6 + 6.46110e6i −0.677766 + 0.677766i −0.959494 0.281728i \(-0.909092\pi\)
0.281728 + 0.959494i \(0.409092\pi\)
\(620\) 3.08836e6 + 4.43386e6i 0.322662 + 0.463236i
\(621\) 2.50500e6 + 2.50500e6i 0.260663 + 0.260663i
\(622\) −3.24346e6 + 1.30094e7i −0.336150 + 1.34828i
\(623\) 2.60041e6i 0.268424i
\(624\) 962951. 649576.i 0.0990017 0.0667834i
\(625\) −3.10995e6 + 9.25719e6i −0.318459 + 0.947937i
\(626\) −5.73664e6 1.43024e6i −0.585088 0.145873i
\(627\) 7.70385e6 7.70385e6i 0.782599 0.782599i
\(628\) 1.21362e7 3.71068e6i 1.22796 0.375452i
\(629\) 7.39999e6 7.39999e6i 0.745769 0.745769i
\(630\) 5.84530e6 6.69072e6i 0.586753 0.671616i
\(631\) 2.16886e6i 0.216850i 0.994105 + 0.108425i \(0.0345807\pi\)
−0.994105 + 0.108425i \(0.965419\pi\)
\(632\) −1.44631e7 1.30218e7i −1.44035 1.29682i
\(633\) 5.29378e6 0.525118
\(634\) 3.13947e6 1.88643e6i 0.310194 0.186388i
\(635\) 4.67410e6 9.11733e6i 0.460006 0.897291i
\(636\) 6.16261e6 + 3.27656e6i 0.604118 + 0.321199i
\(637\) 1.35693e6 1.35693e6i 0.132498 0.132498i
\(638\) 2.51514e7 + 6.27067e6i 2.44630 + 0.609905i
\(639\) −1.03073e6 −0.0998607
\(640\) 5.96396e6 8.47380e6i 0.575553 0.817765i
\(641\) −9.92178e6 −0.953772 −0.476886 0.878965i \(-0.658234\pi\)
−0.476886 + 0.878965i \(0.658234\pi\)
\(642\) 2.74126e6 + 683443.i 0.262490 + 0.0654432i
\(643\) −9.95703e6 + 9.95703e6i −0.949735 + 0.949735i −0.998796 0.0490609i \(-0.984377\pi\)
0.0490609 + 0.998796i \(0.484377\pi\)
\(644\) 4.85097e6 + 2.57918e6i 0.460908 + 0.245057i
\(645\) 461541. + 236614.i 0.0436829 + 0.0223945i
\(646\) −9.54185e6 + 5.73345e6i −0.899603 + 0.540549i
\(647\) 3.57802e6 0.336033 0.168016 0.985784i \(-0.446264\pi\)
0.168016 + 0.985784i \(0.446264\pi\)
\(648\) 395237. + 355851.i 0.0369760 + 0.0332913i
\(649\) 3.03903e6i 0.283219i
\(650\) −1.96951e6 847566.i −0.182842 0.0786847i
\(651\) 3.60820e6 3.60820e6i 0.333686 0.333686i
\(652\) 3.79456e6 1.16020e6i 0.349576 0.106884i
\(653\) −5.27870e6 + 5.27870e6i −0.484445 + 0.484445i −0.906548 0.422103i \(-0.861292\pi\)
0.422103 + 0.906548i \(0.361292\pi\)
\(654\) 1.05789e7 + 2.63750e6i 0.967155 + 0.241128i
\(655\) −5.64582e6 1.75242e7i −0.514190 1.59600i
\(656\) 6.43692e6 4.34214e6i 0.584008 0.393953i
\(657\) 7.05792e6i 0.637916i
\(658\) −4.68080e6 + 1.87745e7i −0.421459 + 1.69045i
\(659\) −1.21548e7 1.21548e7i −1.09027 1.09027i −0.995499 0.0947722i \(-0.969788\pi\)
−0.0947722 0.995499i \(-0.530212\pi\)
\(660\) −9.36223e6 + 6.52116e6i −0.836603 + 0.582727i
\(661\) −1.52299e7 + 1.52299e7i −1.35579 + 1.35579i −0.476761 + 0.879033i \(0.658189\pi\)
−0.879033 + 0.476761i \(0.841811\pi\)
\(662\) 3.48108e6 2.09169e6i 0.308723 0.185504i
\(663\) 1.30679e6 0.115457
\(664\) −1.39412e7 + 731055.i −1.22710 + 0.0643472i
\(665\) −5.28931e6 1.64176e7i −0.463815 1.43965i
\(666\) −6.85099e6 + 4.11658e6i −0.598505 + 0.359626i
\(667\) 4.51575e6 + 4.51575e6i 0.393021 + 0.393021i
\(668\) −1.29703e7 6.89611e6i −1.12463 0.597948i
\(669\) 3.62770e6 + 3.62770e6i 0.313376 + 0.313376i
\(670\) −1.34099e7 + 904351.i −1.15408 + 0.0778306i
\(671\) 1.31639e7 1.12870
\(672\) −8.86895e6 4.13511e6i −0.757615 0.353235i
\(673\) 6.95910e6i 0.592264i −0.955147 0.296132i \(-0.904303\pi\)
0.955147 0.296132i \(-0.0956968\pi\)
\(674\) −1.37746e6 + 5.52493e6i −0.116796 + 0.468465i
\(675\) −1.87924e6 + 1.14949e7i −0.158754 + 0.971057i
\(676\) −5.35675e6 + 1.00751e7i −0.450853 + 0.847972i
\(677\) −7.40998e6 7.40998e6i −0.621363 0.621363i 0.324517 0.945880i \(-0.394798\pi\)
−0.945880 + 0.324517i \(0.894798\pi\)
\(678\) −5.20709e6 8.66585e6i −0.435032 0.723997i
\(679\) 9.66316e6i 0.804349i
\(680\) 1.08936e7 4.15101e6i 0.903442 0.344256i
\(681\) 4.32832e6i 0.357644i
\(682\) 9.98874e6 6.00198e6i 0.822337 0.494121i
\(683\) −8.05004e6 8.05004e6i −0.660307 0.660307i 0.295145 0.955452i \(-0.404632\pi\)
−0.955452 + 0.295145i \(0.904632\pi\)
\(684\) 8.13031e6 2.48587e6i 0.664457 0.203160i
\(685\) 377108. + 193328.i 0.0307071 + 0.0157423i
\(686\) 977238. + 243642.i 0.0792849 + 0.0197671i
\(687\) 6.99931e6i 0.565801i
\(688\) −193799. + 997225.i −0.0156092 + 0.0803197i
\(689\) 2.82872e6 0.227008
\(690\) −2.80459e6 + 189140.i −0.224258 + 0.0151238i
\(691\) −481321. 481321.i −0.0383477 0.0383477i 0.687673 0.726021i \(-0.258632\pi\)
−0.726021 + 0.687673i \(0.758632\pi\)
\(692\) −5.73130e6 + 1.75236e6i −0.454976 + 0.139110i
\(693\) −1.35486e7 1.35486e7i −1.07167 1.07167i
\(694\) −4.60904e6 7.67056e6i −0.363255 0.604545i
\(695\) −7.49204e6 + 2.41374e6i −0.588353 + 0.189552i
\(696\) −8.45332e6 7.61093e6i −0.661461 0.595545i
\(697\) 8.73533e6 0.681078
\(698\) −1.05897e7 1.76239e7i −0.822709 1.36919i
\(699\) 9.37660e6 9.37660e6i 0.725859 0.725859i
\(700\) 2.42532e6 + 1.78998e7i 0.187079 + 1.38071i
\(701\) 1.33011e7 + 1.33011e7i 1.02233 + 1.02233i 0.999745 + 0.0225894i \(0.00719103\pi\)
0.0225894 + 0.999745i \(0.492809\pi\)
\(702\) −2.48136e6 618646.i −0.190041 0.0473805i
\(703\) 1.55172e7i 1.18420i
\(704\) −1.73681e7 1.40627e7i −1.32075 1.06939i
\(705\) −3.03580e6 9.42289e6i −0.230039 0.714022i
\(706\) 3.65873e6 1.46750e7i 0.276260 1.10807i
\(707\) −1.81927e7 + 1.81927e7i −1.36883 + 1.36883i
\(708\) −626055. + 1.17750e6i −0.0469385 + 0.0882828i
\(709\) 1.94471e6 1.94471e6i 0.145291 0.145291i −0.630720 0.776011i \(-0.717240\pi\)
0.776011 + 0.630720i \(0.217240\pi\)
\(710\) 1.37877e6 1.57818e6i 0.102647 0.117493i
\(711\) 1.67218e7i 1.24053i
\(712\) 1.74368e6 1.93667e6i 0.128904 0.143171i
\(713\) 2.87102e6 0.211501
\(714\) −5.67017e6 9.43653e6i −0.416246 0.692734i
\(715\) −2.10956e6 + 4.11491e6i −0.154321 + 0.301020i
\(716\) −6.93514e6 2.26822e7i −0.505560 1.65349i
\(717\) 2.85567e6 2.85567e6i 0.207449 0.207449i
\(718\) −2.65180e6 + 1.06363e7i −0.191969 + 0.769977i
\(719\) −1.86113e7 −1.34263 −0.671313 0.741174i \(-0.734269\pi\)
−0.671313 + 0.741174i \(0.734269\pi\)
\(720\) −8.83969e6 + 1.06344e6i −0.635486 + 0.0764509i
\(721\) 2.05315e7 1.47090
\(722\) 604516. 2.42469e6i 0.0431583 0.173106i
\(723\) 9.84207e6 9.84207e6i 0.700230 0.700230i
\(724\) −1.85439e7 + 5.66985e6i −1.31478 + 0.401999i
\(725\) −3.38770e6 + 2.07217e7i −0.239364 + 1.46413i
\(726\) 8.28504e6 + 1.37883e7i 0.583382 + 0.970888i
\(727\) −8.03905e6 −0.564117 −0.282058 0.959397i \(-0.591017\pi\)
−0.282058 + 0.959397i \(0.591017\pi\)
\(728\) −3.96054e6 + 207685.i −0.276966 + 0.0145237i
\(729\) 8.01339e6i 0.558467i
\(730\) 1.08066e7 + 9.44107e6i 0.750551 + 0.655713i
\(731\) −808149. + 808149.i −0.0559368 + 0.0559368i
\(732\) −5.10046e6 2.71183e6i −0.351829 0.187062i
\(733\) −428767. + 428767.i −0.0294755 + 0.0294755i −0.721691 0.692215i \(-0.756635\pi\)
0.692215 + 0.721691i \(0.256635\pi\)
\(734\) −1.64725e6 + 6.60703e6i −0.112854 + 0.452654i
\(735\) 7.87295e6 2.53646e6i 0.537551 0.173184i
\(736\) −1.88334e6 5.17362e6i −0.128155 0.352046i
\(737\) 2.89860e7i 1.96571i
\(738\) −6.47334e6 1.61391e6i −0.437510 0.109079i
\(739\) −1.37567e6 1.37567e6i −0.0926624 0.0926624i 0.659256 0.751918i \(-0.270871\pi\)
−0.751918 + 0.659256i \(0.770871\pi\)
\(740\) 2.86126e6 1.59963e7i 0.192078 1.07384i
\(741\) −1.37012e6 + 1.37012e6i −0.0916669 + 0.0916669i
\(742\) −1.22739e7 2.04266e7i −0.818410 1.36203i
\(743\) 1.46961e7 0.976629 0.488315 0.872668i \(-0.337612\pi\)
0.488315 + 0.872668i \(0.337612\pi\)
\(744\) −5.10666e6 + 267785.i −0.338224 + 0.0177360i
\(745\) 7.46575e6 2.40526e6i 0.492813 0.158771i
\(746\) 226383. + 376756.i 0.0148935 + 0.0247864i
\(747\) 8.48181e6 + 8.48181e6i 0.556144 + 0.556144i
\(748\) −7.35116e6 2.40428e7i −0.480399 1.57120i
\(749\) −6.82086e6 6.82086e6i −0.444257 0.444257i
\(750\) −5.88771e6 7.12379e6i −0.382203 0.462443i
\(751\) 2.84779e7 1.84250 0.921251 0.388970i \(-0.127169\pi\)
0.921251 + 0.388970i \(0.127169\pi\)
\(752\) 1.60750e7 1.08437e7i 1.03659 0.699251i
\(753\) 490658.i 0.0315349i
\(754\) −4.47313e6 1.11523e6i −0.286539 0.0714391i
\(755\) 3.69425e6 7.20603e6i 0.235862 0.460075i
\(756\) 6.29932e6 + 2.06026e7i 0.400856 + 1.31105i
\(757\) 1.48920e7 + 1.48920e7i 0.944522 + 0.944522i 0.998540 0.0540181i \(-0.0172029\pi\)
−0.0540181 + 0.998540i \(0.517203\pi\)
\(758\) −1.17328e6 + 704992.i −0.0741699 + 0.0445668i
\(759\) 6.06224e6i 0.381970i
\(760\) −7.06939e6 + 1.57738e7i −0.443964 + 0.990606i
\(761\) 7.62607e6i