Properties

Label 80.6.l.a.21.2
Level $80$
Weight $6$
Character 80.21
Analytic conductor $12.831$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(12.8307055850\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(40\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 21.2
Character \(\chi\) \(=\) 80.21
Dual form 80.6.l.a.61.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-5.65514 + 0.139396i) q^{2} +(19.6483 - 19.6483i) q^{3} +(31.9611 - 1.57661i) q^{4} +(-17.6777 - 17.6777i) q^{5} +(-108.375 + 113.853i) q^{6} -152.043i q^{7} +(-180.525 + 13.3712i) q^{8} -529.109i q^{9} +O(q^{10})\) \(q+(-5.65514 + 0.139396i) q^{2} +(19.6483 - 19.6483i) q^{3} +(31.9611 - 1.57661i) q^{4} +(-17.6777 - 17.6777i) q^{5} +(-108.375 + 113.853i) q^{6} -152.043i q^{7} +(-180.525 + 13.3712i) q^{8} -529.109i q^{9} +(102.434 + 97.5054i) q^{10} +(-11.6148 - 11.6148i) q^{11} +(597.003 - 658.959i) q^{12} +(-337.401 + 337.401i) q^{13} +(21.1942 + 859.825i) q^{14} -694.671 q^{15} +(1019.03 - 100.780i) q^{16} +1971.39 q^{17} +(73.7557 + 2992.18i) q^{18} +(-1675.04 + 1675.04i) q^{19} +(-592.869 - 537.128i) q^{20} +(-2987.39 - 2987.39i) q^{21} +(67.3025 + 64.0644i) q^{22} -2713.65i q^{23} +(-3284.28 + 3809.72i) q^{24} +625.000i q^{25} +(1861.01 - 1955.08i) q^{26} +(-5621.55 - 5621.55i) q^{27} +(-239.712 - 4859.47i) q^{28} +(2271.81 - 2271.81i) q^{29} +(3928.46 - 96.8344i) q^{30} -9252.07 q^{31} +(-5748.70 + 711.975i) q^{32} -456.423 q^{33} +(-11148.5 + 274.804i) q^{34} +(-2687.77 + 2687.77i) q^{35} +(-834.197 - 16910.9i) q^{36} +(2728.98 + 2728.98i) q^{37} +(9239.11 - 9706.10i) q^{38} +13258.7i q^{39} +(3427.63 + 2954.89i) q^{40} -9698.90i q^{41} +(17310.5 + 16477.6i) q^{42} +(7983.39 + 7983.39i) q^{43} +(-389.535 - 352.911i) q^{44} +(-9353.41 + 9353.41i) q^{45} +(378.272 + 15346.1i) q^{46} -12393.3 q^{47} +(18042.0 - 22002.3i) q^{48} -6310.14 q^{49} +(-87.1225 - 3534.46i) q^{50} +(38734.4 - 38734.4i) q^{51} +(-10251.8 + 11315.7i) q^{52} +(779.013 + 779.013i) q^{53} +(32574.2 + 31007.0i) q^{54} +410.646i q^{55} +(2033.00 + 27447.6i) q^{56} +65823.4i q^{57} +(-12530.7 + 13164.1i) q^{58} +(-2779.17 - 2779.17i) q^{59} +(-22202.5 + 1095.22i) q^{60} +(16149.2 - 16149.2i) q^{61} +(52321.7 - 1289.70i) q^{62} -80447.4 q^{63} +(32410.4 - 4827.66i) q^{64} +11928.9 q^{65} +(2581.13 - 63.6235i) q^{66} +(27196.6 - 27196.6i) q^{67} +(63007.8 - 3108.10i) q^{68} +(-53318.6 - 53318.6i) q^{69} +(14825.0 - 15574.4i) q^{70} -61737.5i q^{71} +(7074.81 + 95517.3i) q^{72} +18521.1i q^{73} +(-15813.2 - 15052.4i) q^{74} +(12280.2 + 12280.2i) q^{75} +(-50895.4 + 56177.2i) q^{76} +(-1765.96 + 1765.96i) q^{77} +(-1848.21 - 74979.6i) q^{78} +54765.8 q^{79} +(-19795.6 - 16232.5i) q^{80} -92333.9 q^{81} +(1351.99 + 54848.6i) q^{82} +(76036.0 - 76036.0i) q^{83} +(-100190. - 90770.3i) q^{84} +(-34849.5 - 34849.5i) q^{85} +(-46260.0 - 44034.3i) q^{86} -89274.2i q^{87} +(2252.07 + 1941.46i) q^{88} +60590.0i q^{89} +(51591.0 - 54198.7i) q^{90} +(51299.5 + 51299.5i) q^{91} +(-4278.36 - 86731.4i) q^{92} +(-181787. + 181787. i) q^{93} +(70086.0 - 1727.58i) q^{94} +59221.7 q^{95} +(-98962.9 + 126941. i) q^{96} +80405.2 q^{97} +(35684.7 - 879.608i) q^{98} +(-6145.52 + 6145.52i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80q + 44q^{4} - 228q^{6} + O(q^{10}) \) \( 80q + 44q^{4} - 228q^{6} - 100q^{10} + 1208q^{11} + 1572q^{12} - 916q^{14} - 1800q^{15} + 2960q^{16} + 6400q^{18} + 2360q^{19} - 3800q^{20} - 3260q^{22} - 13880q^{24} - 880q^{26} - 7464q^{27} + 18764q^{28} - 8144q^{29} + 22400q^{32} - 7440q^{34} + 27948q^{36} + 21296q^{37} - 34820q^{38} - 7260q^{42} + 32072q^{43} + 64392q^{44} + 149268q^{46} - 88360q^{47} + 94040q^{48} - 192080q^{49} + 2500q^{50} - 5920q^{51} - 55016q^{52} - 49456q^{53} - 250784q^{54} - 250352q^{56} - 115988q^{58} + 44984q^{59} + 7700q^{60} + 48080q^{61} + 444328q^{62} + 158760q^{63} + 218096q^{64} + 253440q^{66} + 61160q^{67} - 119792q^{68} - 22320q^{69} - 66200q^{70} - 629480q^{72} - 156664q^{74} + 223232q^{76} - 14896q^{77} + 516176q^{78} + 177680q^{79} + 48400q^{80} - 524880q^{81} + 254476q^{82} - 329240q^{83} - 173248q^{84} + 132400q^{85} - 765740q^{86} - 390400q^{88} + 71100q^{90} + 364832q^{91} + 333532q^{92} - 362352q^{93} + 537844q^{94} + 288800q^{95} + 1151112q^{96} + 52420q^{98} + 659000q^{99} + O(q^{100}) \)

Character values

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

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −5.65514 + 0.139396i −0.999696 + 0.0246420i
\(3\) 19.6483 19.6483i 1.26044 1.26044i 0.309556 0.950881i \(-0.399820\pi\)
0.950881 0.309556i \(-0.100180\pi\)
\(4\) 31.9611 1.57661i 0.998786 0.0492690i
\(5\) −17.6777 17.6777i −0.316228 0.316228i
\(6\) −108.375 + 113.853i −1.22899 + 1.29111i
\(7\) 152.043i 1.17279i −0.810024 0.586397i \(-0.800546\pi\)
0.810024 0.586397i \(-0.199454\pi\)
\(8\) −180.525 + 13.3712i −0.997268 + 0.0738660i
\(9\) 529.109i 2.17740i
\(10\) 102.434 + 97.5054i 0.323924 + 0.308339i
\(11\) −11.6148 11.6148i −0.0289422 0.0289422i 0.692488 0.721430i \(-0.256515\pi\)
−0.721430 + 0.692488i \(0.756515\pi\)
\(12\) 597.003 658.959i 1.19681 1.32101i
\(13\) −337.401 + 337.401i −0.553717 + 0.553717i −0.927511 0.373795i \(-0.878056\pi\)
0.373795 + 0.927511i \(0.378056\pi\)
\(14\) 21.1942 + 859.825i 0.0289000 + 1.17244i
\(15\) −694.671 −0.797170
\(16\) 1019.03 100.780i 0.995145 0.0984182i
\(17\) 1971.39 1.65443 0.827217 0.561882i \(-0.189922\pi\)
0.827217 + 0.561882i \(0.189922\pi\)
\(18\) 73.7557 + 2992.18i 0.0536555 + 2.17674i
\(19\) −1675.04 + 1675.04i −1.06449 + 1.06449i −0.0667196 + 0.997772i \(0.521253\pi\)
−0.997772 + 0.0667196i \(0.978747\pi\)
\(20\) −592.869 537.128i −0.331424 0.300264i
\(21\) −2987.39 2987.39i −1.47823 1.47823i
\(22\) 67.3025 + 64.0644i 0.0296466 + 0.0282202i
\(23\) 2713.65i 1.06963i −0.844968 0.534816i \(-0.820381\pi\)
0.844968 0.534816i \(-0.179619\pi\)
\(24\) −3284.28 + 3809.72i −1.16389 + 1.35010i
\(25\) 625.000i 0.200000i
\(26\) 1861.01 1955.08i 0.539904 0.567193i
\(27\) −5621.55 5621.55i −1.48404 1.48404i
\(28\) −239.712 4859.47i −0.0577824 1.17137i
\(29\) 2271.81 2271.81i 0.501622 0.501622i −0.410320 0.911942i \(-0.634583\pi\)
0.911942 + 0.410320i \(0.134583\pi\)
\(30\) 3928.46 96.8344i 0.796928 0.0196438i
\(31\) −9252.07 −1.72916 −0.864579 0.502497i \(-0.832415\pi\)
−0.864579 + 0.502497i \(0.832415\pi\)
\(32\) −5748.70 + 711.975i −0.992418 + 0.122911i
\(33\) −456.423 −0.0729596
\(34\) −11148.5 + 274.804i −1.65393 + 0.0407685i
\(35\) −2687.77 + 2687.77i −0.370870 + 0.370870i
\(36\) −834.197 16910.9i −0.107278 2.17476i
\(37\) 2728.98 + 2728.98i 0.327715 + 0.327715i 0.851717 0.524002i \(-0.175562\pi\)
−0.524002 + 0.851717i \(0.675562\pi\)
\(38\) 9239.11 9706.10i 1.03794 1.09040i
\(39\) 13258.7i 1.39585i
\(40\) 3427.63 + 2954.89i 0.338722 + 0.292005i
\(41\) 9698.90i 0.901079i −0.892757 0.450539i \(-0.851232\pi\)
0.892757 0.450539i \(-0.148768\pi\)
\(42\) 17310.5 + 16477.6i 1.51421 + 1.44136i
\(43\) 7983.39 + 7983.39i 0.658440 + 0.658440i 0.955011 0.296571i \(-0.0958432\pi\)
−0.296571 + 0.955011i \(0.595843\pi\)
\(44\) −389.535 352.911i −0.0303330 0.0274811i
\(45\) −9353.41 + 9353.41i −0.688555 + 0.688555i
\(46\) 378.272 + 15346.1i 0.0263578 + 1.06931i
\(47\) −12393.3 −0.818359 −0.409179 0.912454i \(-0.634185\pi\)
−0.409179 + 0.912454i \(0.634185\pi\)
\(48\) 18042.0 22002.3i 1.13027 1.37837i
\(49\) −6310.14 −0.375447
\(50\) −87.1225 3534.46i −0.00492839 0.199939i
\(51\) 38734.4 38734.4i 2.08531 2.08531i
\(52\) −10251.8 + 11315.7i −0.525763 + 0.580325i
\(53\) 779.013 + 779.013i 0.0380939 + 0.0380939i 0.725897 0.687803i \(-0.241425\pi\)
−0.687803 + 0.725897i \(0.741425\pi\)
\(54\) 32574.2 + 31007.0i 1.52016 + 1.44702i
\(55\) 410.646i 0.0183046i
\(56\) 2033.00 + 27447.6i 0.0866297 + 1.16959i
\(57\) 65823.4i 2.68345i
\(58\) −12530.7 + 13164.1i −0.489109 + 0.513831i
\(59\) −2779.17 2779.17i −0.103940 0.103940i 0.653224 0.757165i \(-0.273416\pi\)
−0.757165 + 0.653224i \(0.773416\pi\)
\(60\) −22202.5 + 1095.22i −0.796202 + 0.0392758i
\(61\) 16149.2 16149.2i 0.555682 0.555682i −0.372393 0.928075i \(-0.621463\pi\)
0.928075 + 0.372393i \(0.121463\pi\)
\(62\) 52321.7 1289.70i 1.72863 0.0426098i
\(63\) −80447.4 −2.55365
\(64\) 32410.4 4827.66i 0.989088 0.147328i
\(65\) 11928.9 0.350201
\(66\) 2581.13 63.6235i 0.0729375 0.00179787i
\(67\) 27196.6 27196.6i 0.740164 0.740164i −0.232445 0.972609i \(-0.574673\pi\)
0.972609 + 0.232445i \(0.0746727\pi\)
\(68\) 63007.8 3108.10i 1.65243 0.0815123i
\(69\) −53318.6 53318.6i −1.34820 1.34820i
\(70\) 14825.0 15574.4i 0.361619 0.379897i
\(71\) 61737.5i 1.45346i −0.686923 0.726730i \(-0.741039\pi\)
0.686923 0.726730i \(-0.258961\pi\)
\(72\) 7074.81 + 95517.3i 0.160836 + 2.17146i
\(73\) 18521.1i 0.406780i 0.979098 + 0.203390i \(0.0651960\pi\)
−0.979098 + 0.203390i \(0.934804\pi\)
\(74\) −15813.2 15052.4i −0.335691 0.319540i
\(75\) 12280.2 + 12280.2i 0.252087 + 0.252087i
\(76\) −50895.4 + 56177.2i −1.01075 + 1.11564i
\(77\) −1765.96 + 1765.96i −0.0339432 + 0.0339432i
\(78\) −1848.21 74979.6i −0.0343965 1.39543i
\(79\) 54765.8 0.987284 0.493642 0.869665i \(-0.335665\pi\)
0.493642 + 0.869665i \(0.335665\pi\)
\(80\) −19795.6 16232.5i −0.345815 0.283570i
\(81\) −92333.9 −1.56368
\(82\) 1351.99 + 54848.6i 0.0222043 + 0.900805i
\(83\) 76036.0 76036.0i 1.21150 1.21150i 0.240969 0.970533i \(-0.422535\pi\)
0.970533 0.240969i \(-0.0774653\pi\)
\(84\) −100190. 90770.3i −1.54927 1.40361i
\(85\) −34849.5 34849.5i −0.523178 0.523178i
\(86\) −46260.0 44034.3i −0.674465 0.642015i
\(87\) 89274.2i 1.26453i
\(88\) 2252.07 + 1941.46i 0.0310010 + 0.0267253i
\(89\) 60590.0i 0.810823i 0.914134 + 0.405412i \(0.132872\pi\)
−0.914134 + 0.405412i \(0.867128\pi\)
\(90\) 51591.0 54198.7i 0.671379 0.705314i
\(91\) 51299.5 + 51299.5i 0.649396 + 0.649396i
\(92\) −4278.36 86731.4i −0.0526997 1.06833i
\(93\) −181787. + 181787.i −2.17949 + 2.17949i
\(94\) 70086.0 1727.58i 0.818110 0.0201660i
\(95\) 59221.7 0.673243
\(96\) −98962.9 + 126941.i −1.09596 + 1.40580i
\(97\) 80405.2 0.867670 0.433835 0.900992i \(-0.357160\pi\)
0.433835 + 0.900992i \(0.357160\pi\)
\(98\) 35684.7 879.608i 0.375333 0.00925175i
\(99\) −6145.52 + 6145.52i −0.0630188 + 0.0630188i
\(100\) 985.379 + 19975.7i 0.00985379 + 0.199757i
\(101\) −19812.4 19812.4i −0.193256 0.193256i 0.603845 0.797102i \(-0.293634\pi\)
−0.797102 + 0.603845i \(0.793634\pi\)
\(102\) −213649. + 224447.i −2.03329 + 2.13606i
\(103\) 130085.i 1.20819i 0.796912 + 0.604095i \(0.206465\pi\)
−0.796912 + 0.604095i \(0.793535\pi\)
\(104\) 56397.7 65420.6i 0.511303 0.593105i
\(105\) 105620.i 0.934917i
\(106\) −4514.02 4296.83i −0.0390210 0.0371436i
\(107\) 141881. + 141881.i 1.19802 + 1.19802i 0.974759 + 0.223260i \(0.0716700\pi\)
0.223260 + 0.974759i \(0.428330\pi\)
\(108\) −188534. 170808.i −1.55536 1.40912i
\(109\) 9250.02 9250.02i 0.0745721 0.0745721i −0.668837 0.743409i \(-0.733208\pi\)
0.743409 + 0.668837i \(0.233208\pi\)
\(110\) −57.2425 2322.26i −0.000451062 0.0182991i
\(111\) 107240. 0.826128
\(112\) −15323.0 154936.i −0.115424 1.16710i
\(113\) 46485.0 0.342466 0.171233 0.985231i \(-0.445225\pi\)
0.171233 + 0.985231i \(0.445225\pi\)
\(114\) −9175.52 372240.i −0.0661254 2.68263i
\(115\) −47971.0 + 47971.0i −0.338247 + 0.338247i
\(116\) 69027.8 76191.3i 0.476298 0.525727i
\(117\) 178522. + 178522.i 1.20566 + 1.20566i
\(118\) 16104.0 + 15329.2i 0.106470 + 0.101348i
\(119\) 299736.i 1.94031i
\(120\) 125405. 9288.57i 0.794993 0.0588838i
\(121\) 160781.i 0.998325i
\(122\) −89074.7 + 93577.0i −0.541820 + 0.569206i
\(123\) −190567. 190567.i −1.13575 1.13575i
\(124\) −295707. + 14586.9i −1.72706 + 0.0851938i
\(125\) 11048.5 11048.5i 0.0632456 0.0632456i
\(126\) 454941. 11214.1i 2.55287 0.0629269i
\(127\) −286357. −1.57543 −0.787714 0.616041i \(-0.788736\pi\)
−0.787714 + 0.616041i \(0.788736\pi\)
\(128\) −182612. + 31819.0i −0.985157 + 0.171657i
\(129\) 313719. 1.65984
\(130\) −67459.6 + 1662.84i −0.350095 + 0.00862964i
\(131\) 117828. 117828.i 0.599887 0.599887i −0.340396 0.940282i \(-0.610561\pi\)
0.940282 + 0.340396i \(0.110561\pi\)
\(132\) −14587.8 + 719.599i −0.0728710 + 0.00359464i
\(133\) 254679. + 254679.i 1.24843 + 1.24843i
\(134\) −150010. + 157592.i −0.721700 + 0.758178i
\(135\) 198752.i 0.938591i
\(136\) −355884. + 26359.8i −1.64992 + 0.122207i
\(137\) 82337.9i 0.374799i −0.982284 0.187400i \(-0.939994\pi\)
0.982284 0.187400i \(-0.0600059\pi\)
\(138\) 308956. + 294091.i 1.38102 + 1.31457i
\(139\) −214865. 214865.i −0.943255 0.943255i 0.0552189 0.998474i \(-0.482414\pi\)
−0.998474 + 0.0552189i \(0.982414\pi\)
\(140\) −81666.6 + 90141.7i −0.352147 + 0.388692i
\(141\) −243508. + 243508.i −1.03149 + 1.03149i
\(142\) 8605.96 + 349134.i 0.0358161 + 1.45302i
\(143\) 7837.71 0.0320515
\(144\) −53323.8 539177.i −0.214296 2.16683i
\(145\) −80320.5 −0.317254
\(146\) −2581.77 104739.i −0.0100239 0.406657i
\(147\) −123983. + 123983.i −0.473227 + 0.473227i
\(148\) 91523.9 + 82918.8i 0.343463 + 0.311171i
\(149\) 359536. + 359536.i 1.32671 + 1.32671i 0.908220 + 0.418494i \(0.137442\pi\)
0.418494 + 0.908220i \(0.362558\pi\)
\(150\) −71157.8 67734.2i −0.258223 0.245799i
\(151\) 89139.5i 0.318147i −0.987267 0.159073i \(-0.949149\pi\)
0.987267 0.159073i \(-0.0508507\pi\)
\(152\) 279990. 324784.i 0.982954 1.14021i
\(153\) 1.04308e6i 3.60237i
\(154\) 9740.56 10232.9i 0.0330965 0.0347694i
\(155\) 163555. + 163555.i 0.546808 + 0.546808i
\(156\) 20903.7 + 423762.i 0.0687721 + 1.39415i
\(157\) 41880.8 41880.8i 0.135602 0.135602i −0.636048 0.771650i \(-0.719432\pi\)
0.771650 + 0.636048i \(0.219432\pi\)
\(158\) −309708. + 7634.14i −0.986984 + 0.0243286i
\(159\) 30612.5 0.0960298
\(160\) 114210. + 89037.5i 0.352698 + 0.274962i
\(161\) −412592. −1.25446
\(162\) 522161. 12871.0i 1.56321 0.0385322i
\(163\) 119285. 119285.i 0.351654 0.351654i −0.509070 0.860725i \(-0.670011\pi\)
0.860725 + 0.509070i \(0.170011\pi\)
\(164\) −15291.3 309988.i −0.0443952 0.899984i
\(165\) 8068.49 + 8068.49i 0.0230719 + 0.0230719i
\(166\) −419395. + 440593.i −1.18128 + 1.24099i
\(167\) 121470.i 0.337036i −0.985699 0.168518i \(-0.946102\pi\)
0.985699 0.168518i \(-0.0538982\pi\)
\(168\) 579242. + 499352.i 1.58339 + 1.36500i
\(169\) 143615.i 0.386796i
\(170\) 201937. + 192221.i 0.535912 + 0.510127i
\(171\) 886281. + 886281.i 2.31783 + 2.31783i
\(172\) 267745. + 242571.i 0.690081 + 0.625199i
\(173\) 219318. 219318.i 0.557134 0.557134i −0.371356 0.928490i \(-0.621107\pi\)
0.928490 + 0.371356i \(0.121107\pi\)
\(174\) 12444.5 + 504858.i 0.0311604 + 1.26414i
\(175\) 95027.0 0.234559
\(176\) −13006.4 10665.3i −0.0316501 0.0259532i
\(177\) −109212. −0.262021
\(178\) −8446.01 342645.i −0.0199803 0.810577i
\(179\) −481512. + 481512.i −1.12325 + 1.12325i −0.131996 + 0.991250i \(0.542138\pi\)
−0.991250 + 0.131996i \(0.957862\pi\)
\(180\) −284199. + 313692.i −0.653795 + 0.721644i
\(181\) −185016. 185016.i −0.419772 0.419772i 0.465353 0.885125i \(-0.345927\pi\)
−0.885125 + 0.465353i \(0.845927\pi\)
\(182\) −297256. 282955.i −0.665201 0.633196i
\(183\) 634607.i 1.40080i
\(184\) 36284.7 + 489881.i 0.0790095 + 1.06671i
\(185\) 96484.1i 0.207265i
\(186\) 1.00269e6 1.05337e6i 2.12513 2.23254i
\(187\) −22897.3 22897.3i −0.0478830 0.0478830i
\(188\) −396105. + 19539.4i −0.817365 + 0.0403197i
\(189\) −854718. + 854718.i −1.74048 + 1.74048i
\(190\) −334907. + 8255.27i −0.673039 + 0.0165900i
\(191\) 144475. 0.286556 0.143278 0.989682i \(-0.454236\pi\)
0.143278 + 0.989682i \(0.454236\pi\)
\(192\) 541954. 731664.i 1.06098 1.43238i
\(193\) 573446. 1.10815 0.554076 0.832466i \(-0.313072\pi\)
0.554076 + 0.832466i \(0.313072\pi\)
\(194\) −454702. + 11208.2i −0.867407 + 0.0213811i
\(195\) 234383. 234383.i 0.441406 0.441406i
\(196\) −201679. + 9948.61i −0.374991 + 0.0184979i
\(197\) 228983. + 228983.i 0.420376 + 0.420376i 0.885333 0.464957i \(-0.153930\pi\)
−0.464957 + 0.885333i \(0.653930\pi\)
\(198\) 33897.1 35610.4i 0.0614468 0.0645526i
\(199\) 455416.i 0.815221i 0.913156 + 0.407611i \(0.133638\pi\)
−0.913156 + 0.407611i \(0.866362\pi\)
\(200\) −8356.99 112828.i −0.0147732 0.199454i
\(201\) 1.06873e6i 1.86586i
\(202\) 114804. + 109280.i 0.197960 + 0.188435i
\(203\) −345413. 345413.i −0.588300 0.588300i
\(204\) 1.17693e6 1.29906e6i 1.98004 2.18552i
\(205\) −171454. + 171454.i −0.284946 + 0.284946i
\(206\) −18133.4 735651.i −0.0297722 1.20782i
\(207\) −1.43582e6 −2.32902
\(208\) −309818. + 377824.i −0.496533 + 0.605524i
\(209\) 38910.7 0.0616174
\(210\) −14723.0 597296.i −0.0230382 0.934633i
\(211\) −375836. + 375836.i −0.581156 + 0.581156i −0.935221 0.354065i \(-0.884799\pi\)
0.354065 + 0.935221i \(0.384799\pi\)
\(212\) 26126.3 + 23669.9i 0.0399244 + 0.0361708i
\(213\) −1.21304e6 1.21304e6i −1.83200 1.83200i
\(214\) −822132. 782577.i −1.22718 1.16813i
\(215\) 282255.i 0.416434i
\(216\) 1.09000e6 + 939662.i 1.58961 + 1.37037i
\(217\) 1.40671e6i 2.02795i
\(218\) −51020.7 + 53599.5i −0.0727119 + 0.0763871i
\(219\) 363908. + 363908.i 0.512721 + 0.512721i
\(220\) 647.428 + 13124.7i 0.000901851 + 0.0182824i
\(221\) −665147. + 665147.i −0.916088 + 0.916088i
\(222\) −606454. + 14948.8i −0.825877 + 0.0203574i
\(223\) −372759. −0.501956 −0.250978 0.967993i \(-0.580752\pi\)
−0.250978 + 0.967993i \(0.580752\pi\)
\(224\) 108251. + 874050.i 0.144149 + 1.16390i
\(225\) 330693. 0.435481
\(226\) −262879. + 6479.83i −0.342362 + 0.00843902i
\(227\) 603192. 603192.i 0.776946 0.776946i −0.202365 0.979310i \(-0.564863\pi\)
0.979310 + 0.202365i \(0.0648626\pi\)
\(228\) 103778. + 2.10379e6i 0.132211 + 2.68019i
\(229\) 578307. + 578307.i 0.728736 + 0.728736i 0.970368 0.241632i \(-0.0776828\pi\)
−0.241632 + 0.970368i \(0.577683\pi\)
\(230\) 264596. 277970.i 0.329810 0.346480i
\(231\) 69396.0i 0.0855666i
\(232\) −379741. + 440494.i −0.463199 + 0.537304i
\(233\) 815767.i 0.984410i −0.870479 0.492205i \(-0.836191\pi\)
0.870479 0.492205i \(-0.163809\pi\)
\(234\) −1.03445e6 984679.i −1.23501 1.17559i
\(235\) 219085. + 219085.i 0.258788 + 0.258788i
\(236\) −93207.0 84443.7i −0.108935 0.0986931i
\(237\) 1.07605e6 1.07605e6i 1.24441 1.24441i
\(238\) 41782.0 + 1.69505e6i 0.0478131 + 1.93972i
\(239\) 255220. 0.289015 0.144507 0.989504i \(-0.453840\pi\)
0.144507 + 0.989504i \(0.453840\pi\)
\(240\) −707890. + 70009.2i −0.793300 + 0.0784561i
\(241\) −1.21711e6 −1.34986 −0.674928 0.737883i \(-0.735825\pi\)
−0.674928 + 0.737883i \(0.735825\pi\)
\(242\) 22412.3 + 909240.i 0.0246007 + 0.998022i
\(243\) −448165. + 448165.i −0.486880 + 0.486880i
\(244\) 490686. 541607.i 0.527629 0.582385i
\(245\) 111549. + 111549.i 0.118727 + 0.118727i
\(246\) 1.10424e6 + 1.05112e6i 1.16340 + 1.10742i
\(247\) 1.13032e6i 1.17885i
\(248\) 1.67023e6 123711.i 1.72443 0.127726i
\(249\) 2.98795e6i 3.05404i
\(250\) −60940.9 + 64021.1i −0.0616679 + 0.0647848i
\(251\) −711568. 711568.i −0.712906 0.712906i 0.254236 0.967142i \(-0.418176\pi\)
−0.967142 + 0.254236i \(0.918176\pi\)
\(252\) −2.57119e6 + 126834.i −2.55055 + 0.125816i
\(253\) −31518.6 + 31518.6i −0.0309575 + 0.0309575i
\(254\) 1.61939e6 39917.0i 1.57495 0.0388217i
\(255\) −1.36947e6 −1.31887
\(256\) 1.02826e6 205396.i 0.980628 0.195881i
\(257\) −394842. −0.372899 −0.186449 0.982465i \(-0.559698\pi\)
−0.186449 + 0.982465i \(0.559698\pi\)
\(258\) −1.77413e6 + 43731.2i −1.65934 + 0.0409018i
\(259\) 414923. 414923.i 0.384342 0.384342i
\(260\) 381262. 18807.2i 0.349776 0.0172540i
\(261\) −1.20203e6 1.20203e6i −1.09223 1.09223i
\(262\) −649907. + 682757.i −0.584922 + 0.614487i
\(263\) 446751.i 0.398269i 0.979972 + 0.199134i \(0.0638130\pi\)
−0.979972 + 0.199134i \(0.936187\pi\)
\(264\) 82395.7 6102.91i 0.0727603 0.00538924i
\(265\) 27542.3i 0.0240927i
\(266\) −1.47575e6 1.40474e6i −1.27881 1.21729i
\(267\) 1.19049e6 + 1.19049e6i 1.02199 + 1.02199i
\(268\) 826357. 912113.i 0.702798 0.775732i
\(269\) −616974. + 616974.i −0.519860 + 0.519860i −0.917529 0.397669i \(-0.869819\pi\)
0.397669 + 0.917529i \(0.369819\pi\)
\(270\) −27705.2 1.12397e6i −0.0231287 0.938306i
\(271\) −302965. −0.250593 −0.125297 0.992119i \(-0.539988\pi\)
−0.125297 + 0.992119i \(0.539988\pi\)
\(272\) 2.00890e6 198677.i 1.64640 0.162827i
\(273\) 2.01589e6 1.63705
\(274\) 11477.6 + 465632.i 0.00923579 + 0.374685i
\(275\) 7259.27 7259.27i 0.00578844 0.00578844i
\(276\) −1.78818e6 1.62006e6i −1.41299 1.28014i
\(277\) −754020. 754020.i −0.590450 0.590450i 0.347303 0.937753i \(-0.387098\pi\)
−0.937753 + 0.347303i \(0.887098\pi\)
\(278\) 1.24504e6 + 1.18514e6i 0.966213 + 0.919725i
\(279\) 4.89535e6i 3.76507i
\(280\) 449270. 521148.i 0.342462 0.397252i
\(281\) 1.82778e6i 1.38088i 0.723388 + 0.690442i \(0.242584\pi\)
−0.723388 + 0.690442i \(0.757416\pi\)
\(282\) 1.34312e6 1.41101e6i 1.00576 1.05659i
\(283\) 112611. + 112611.i 0.0835825 + 0.0835825i 0.747662 0.664079i \(-0.231176\pi\)
−0.664079 + 0.747662i \(0.731176\pi\)
\(284\) −97335.8 1.97320e6i −0.0716105 1.45170i
\(285\) 1.16360e6 1.16360e6i 0.848581 0.848581i
\(286\) −44323.3 + 1092.54i −0.0320418 + 0.000789813i
\(287\) −1.47465e6 −1.05678
\(288\) 376712. + 3.04169e6i 0.267626 + 2.16089i
\(289\) 2.46651e6 1.73716
\(290\) 454224. 11196.4i 0.317157 0.00781775i
\(291\) 1.57982e6 1.57982e6i 1.09364 1.09364i
\(292\) 29200.5 + 591956.i 0.0200416 + 0.406286i
\(293\) 1.02302e6 + 1.02302e6i 0.696168 + 0.696168i 0.963582 0.267414i \(-0.0861691\pi\)
−0.267414 + 0.963582i \(0.586169\pi\)
\(294\) 683860. 718425.i 0.461422 0.484745i
\(295\) 98258.4i 0.0657377i
\(296\) −529139. 456159.i −0.351027 0.302613i
\(297\) 130587.i 0.0859029i
\(298\) −2.08334e6 1.98311e6i −1.35900 1.29362i
\(299\) 915588. + 915588.i 0.592273 + 0.592273i
\(300\) 411849. + 373127.i 0.264201 + 0.239361i
\(301\) 1.21382e6 1.21382e6i 0.772215 0.772215i
\(302\) 12425.7 + 504096.i 0.00783977 + 0.318050i
\(303\) −778559. −0.487175
\(304\) −1.53811e6 + 1.87573e6i −0.954558 + 1.16409i
\(305\) −570960. −0.351444
\(306\) 145401. + 5.89875e6i 0.0887695 + 3.60128i
\(307\) 712045. 712045.i 0.431183 0.431183i −0.457848 0.889031i \(-0.651379\pi\)
0.889031 + 0.457848i \(0.151379\pi\)
\(308\) −53657.8 + 59226.2i −0.0322297 + 0.0355744i
\(309\) 2.55595e6 + 2.55595e6i 1.52285 + 1.52285i
\(310\) −947725. 902127.i −0.560116 0.533167i
\(311\) 459793.i 0.269564i −0.990875 0.134782i \(-0.956967\pi\)
0.990875 0.134782i \(-0.0430334\pi\)
\(312\) −177284. 2.39352e6i −0.103106 1.39204i
\(313\) 2.11774e6i 1.22183i 0.791696 + 0.610915i \(0.209198\pi\)
−0.791696 + 0.610915i \(0.790802\pi\)
\(314\) −231004. + 242680.i −0.132219 + 0.138902i
\(315\) 1.42212e6 + 1.42212e6i 0.807534 + 0.807534i
\(316\) 1.75038e6 86344.2i 0.986085 0.0486424i
\(317\) 818417. 818417.i 0.457432 0.457432i −0.440380 0.897812i \(-0.645156\pi\)
0.897812 + 0.440380i \(0.145156\pi\)
\(318\) −173118. + 4267.26i −0.0960007 + 0.00236636i
\(319\) −52773.3 −0.0290361
\(320\) −658283. 487599.i −0.359366 0.266188i
\(321\) 5.57542e6 3.02006
\(322\) 2.33327e6 57513.7i 1.25408 0.0309123i
\(323\) −3.30216e6 + 3.30216e6i −1.76113 + 1.76113i
\(324\) −2.95110e6 + 145574.i −1.56178 + 0.0770410i
\(325\) −210875. 210875.i −0.110743 0.110743i
\(326\) −657944. + 691199.i −0.342882 + 0.360213i
\(327\) 363494.i 0.187987i
\(328\) 129686. + 1.75089e6i 0.0665591 + 0.898617i
\(329\) 1.88432e6i 0.959766i
\(330\) −46753.1 44503.7i −0.0236334 0.0224963i
\(331\) −930448. 930448.i −0.466790 0.466790i 0.434083 0.900873i \(-0.357073\pi\)
−0.900873 + 0.434083i \(0.857073\pi\)
\(332\) 2.31032e6 2.55008e6i 1.15034 1.26972i
\(333\) 1.44393e6 1.44393e6i 0.713568 0.713568i
\(334\) 16932.4 + 686928.i 0.00830524 + 0.336934i
\(335\) −961546. −0.468121
\(336\) −3.34530e6 2.74316e6i −1.61654 1.32557i
\(337\) −1.66985e6 −0.800946 −0.400473 0.916308i \(-0.631154\pi\)
−0.400473 + 0.916308i \(0.631154\pi\)
\(338\) −20019.3 812160.i −0.00953141 0.386679i
\(339\) 913350. 913350.i 0.431656 0.431656i
\(340\) −1.16877e6 1.05889e6i −0.548319 0.496766i
\(341\) 107461. + 107461.i 0.0500456 + 0.0500456i
\(342\) −5.13558e6 4.88849e6i −2.37424 2.26001i
\(343\) 1.59598e6i 0.732472i
\(344\) −1.54795e6 1.33445e6i −0.705277 0.608005i
\(345\) 1.88510e6i 0.852679i
\(346\) −1.20970e6 + 1.27085e6i −0.543236 + 0.570694i
\(347\) 2.96486e6 + 2.96486e6i 1.32185 + 1.32185i 0.912281 + 0.409565i \(0.134320\pi\)
0.409565 + 0.912281i \(0.365680\pi\)
\(348\) −140750. 2.85330e6i −0.0623019 1.26299i
\(349\) −2.89685e6 + 2.89685e6i −1.27310 + 1.27310i −0.328650 + 0.944452i \(0.606594\pi\)
−0.944452 + 0.328650i \(0.893406\pi\)
\(350\) −537391. + 13246.4i −0.234488 + 0.00577999i
\(351\) 3.79343e6 1.64348
\(352\) 75039.7 + 58500.7i 0.0322800 + 0.0251654i
\(353\) −2.14860e6 −0.917740 −0.458870 0.888503i \(-0.651746\pi\)
−0.458870 + 0.888503i \(0.651746\pi\)
\(354\) 617607. 15223.7i 0.261941 0.00645670i
\(355\) −1.09138e6 + 1.09138e6i −0.459625 + 0.459625i
\(356\) 95526.7 + 1.93653e6i 0.0399484 + 0.809839i
\(357\) −5.88930e6 5.88930e6i −2.44564 2.44564i
\(358\) 2.65590e6 2.79014e6i 1.09523 1.15058i
\(359\) 2.61006e6i 1.06884i −0.845218 0.534421i \(-0.820530\pi\)
0.845218 0.534421i \(-0.179470\pi\)
\(360\) 1.56346e6 1.81359e6i 0.635814 0.737535i
\(361\) 3.13544e6i 1.26628i
\(362\) 1.07208e6 + 1.02050e6i 0.429988 + 0.409300i
\(363\) −3.15907e6 3.15907e6i −1.25833 1.25833i
\(364\) 1.72047e6 + 1.55871e6i 0.680602 + 0.616612i
\(365\) 327410. 327410.i 0.128635 0.128635i
\(366\) 88461.7 + 3.58879e6i 0.0345186 + 1.40038i
\(367\) −7255.03 −0.00281173 −0.00140587 0.999999i \(-0.500448\pi\)
−0.00140587 + 0.999999i \(0.500448\pi\)
\(368\) −273483. 2.76529e6i −0.105271 1.06444i
\(369\) −5.13177e6 −1.96201
\(370\) 13449.5 + 545631.i 0.00510742 + 0.207202i
\(371\) 118444. 118444.i 0.0446763 0.0446763i
\(372\) −5.52352e6 + 6.09673e6i −2.06947 + 2.28423i
\(373\) 3.28076e6 + 3.28076e6i 1.22096 + 1.22096i 0.967290 + 0.253675i \(0.0816393\pi\)
0.253675 + 0.967290i \(0.418361\pi\)
\(374\) 132679. + 126296.i 0.0490484 + 0.0466885i
\(375\) 434170.i 0.159434i
\(376\) 2.23730e6 165714.i 0.816123 0.0604489i
\(377\) 1.53302e6i 0.555513i
\(378\) 4.71440e6 4.95269e6i 1.69706 1.78284i
\(379\) −1.97719e6 1.97719e6i −0.707051 0.707051i 0.258863 0.965914i \(-0.416652\pi\)
−0.965914 + 0.258863i \(0.916652\pi\)
\(380\) 1.89279e6 93369.4i 0.672426 0.0331700i
\(381\) −5.62642e6 + 5.62642e6i −1.98573 + 1.98573i
\(382\) −817027. + 20139.3i −0.286469 + 0.00706130i
\(383\) 925457. 0.322374 0.161187 0.986924i \(-0.448468\pi\)
0.161187 + 0.986924i \(0.448468\pi\)
\(384\) −2.96283e6 + 4.21321e6i −1.02537 + 1.45809i
\(385\) 62436.0 0.0214676
\(386\) −3.24291e6 + 79936.1i −1.10781 + 0.0273070i
\(387\) 4.22408e6 4.22408e6i 1.43369 1.43369i
\(388\) 2.56984e6 126767.i 0.866617 0.0427492i
\(389\) −1.44312e6 1.44312e6i −0.483536 0.483536i 0.422723 0.906259i \(-0.361074\pi\)
−0.906259 + 0.422723i \(0.861074\pi\)
\(390\) −1.29279e6 + 1.35814e6i −0.430395 + 0.452150i
\(391\) 5.34966e6i 1.76964i
\(392\) 1.13914e6 84374.0i 0.374421 0.0277328i
\(393\) 4.63022e6i 1.51224i
\(394\) −1.32685e6 1.26301e6i −0.430607 0.409889i
\(395\) −968132. 968132.i −0.312207 0.312207i
\(396\) −186729. + 206107.i −0.0598374 + 0.0660472i
\(397\) 2.24787e6 2.24787e6i 0.715807 0.715807i −0.251937 0.967744i \(-0.581068\pi\)
0.967744 + 0.251937i \(0.0810676\pi\)
\(398\) −63483.2 2.57544e6i −0.0200887 0.814974i
\(399\) 1.00080e7 3.14713
\(400\) 62987.7 + 636893.i 0.0196836 + 0.199029i
\(401\) −2.69259e6 −0.836200 −0.418100 0.908401i \(-0.637304\pi\)
−0.418100 + 0.908401i \(0.637304\pi\)
\(402\) 148977. + 6.04383e6i 0.0459785 + 1.86529i
\(403\) 3.12165e6 3.12165e6i 0.957463 0.957463i
\(404\) −664463. 601990.i −0.202543 0.183500i
\(405\) 1.63225e6 + 1.63225e6i 0.494480 + 0.494480i
\(406\) 2.00151e6 + 1.90521e6i 0.602618 + 0.573624i
\(407\) 63393.3i 0.0189696i
\(408\) −6.47459e6 + 7.51044e6i −1.92558 + 2.23365i
\(409\) 625505.i 0.184894i 0.995718 + 0.0924470i \(0.0294689\pi\)
−0.995718 + 0.0924470i \(0.970531\pi\)
\(410\) 945695. 993495.i 0.277838 0.291881i
\(411\) −1.61780e6 1.61780e6i −0.472411 0.472411i
\(412\) 205093. + 4.15768e6i 0.0595263 + 1.20672i
\(413\) −422553. + 422553.i −0.121901 + 0.121901i
\(414\) 8.11974e6 200147.i 2.32831 0.0573916i
\(415\) −2.68828e6 −0.766221
\(416\) 1.69939e6 2.17983e6i 0.481460 0.617576i
\(417\) −8.44346e6 −2.37783
\(418\) −220045. + 5424.00i −0.0615987 + 0.00151837i
\(419\) −3.97089e6 + 3.97089e6i −1.10497 + 1.10497i −0.111174 + 0.993801i \(0.535461\pi\)
−0.993801 + 0.111174i \(0.964539\pi\)
\(420\) 166521. + 3.37574e6i 0.0460624 + 0.933782i
\(421\) 4.47822e6 + 4.47822e6i 1.23140 + 1.23140i 0.963425 + 0.267979i \(0.0863558\pi\)
0.267979 + 0.963425i \(0.413644\pi\)
\(422\) 2.07301e6 2.17779e6i 0.566658 0.595300i
\(423\) 6.55743e6i 1.78190i
\(424\) −151048. 130215.i −0.0408036 0.0351760i
\(425\) 1.23212e6i 0.330887i
\(426\) 7.02897e6 + 6.69079e6i 1.87658 + 1.78630i
\(427\) −2.45537e6 2.45537e6i −0.651701 0.651701i
\(428\) 4.75836e6 + 4.31098e6i 1.25559 + 1.13754i
\(429\) 153997. 153997.i 0.0403989 0.0403989i
\(430\) 39345.3 + 1.59619e6i 0.0102617 + 0.416307i
\(431\) −3.93764e6 −1.02104 −0.510521 0.859865i \(-0.670547\pi\)
−0.510521 + 0.859865i \(0.670547\pi\)
\(432\) −6.29506e6 5.16198e6i −1.62290 1.33078i
\(433\) −3.83172e6 −0.982141 −0.491071 0.871120i \(-0.663394\pi\)
−0.491071 + 0.871120i \(0.663394\pi\)
\(434\) −196090. 7.95516e6i −0.0499726 2.02733i
\(435\) −1.57816e6 + 1.57816e6i −0.399878 + 0.399878i
\(436\) 281058. 310225.i 0.0708075 0.0781556i
\(437\) 4.54548e6 + 4.54548e6i 1.13861 + 1.13861i
\(438\) −2.10868e6 2.00722e6i −0.525200 0.499931i
\(439\) 1.34172e6i 0.332278i 0.986102 + 0.166139i \(0.0531301\pi\)
−0.986102 + 0.166139i \(0.946870\pi\)
\(440\) −5490.83 74131.9i −0.00135209 0.0182546i
\(441\) 3.33875e6i 0.817500i
\(442\) 3.66878e6 3.85422e6i 0.893236 0.938384i
\(443\) −655716. 655716.i −0.158747 0.158747i 0.623264 0.782011i \(-0.285806\pi\)
−0.782011 + 0.623264i \(0.785806\pi\)
\(444\) 3.42750e6 169075.i 0.825125 0.0407025i
\(445\) 1.07109e6 1.07109e6i 0.256405 0.256405i
\(446\) 2.10800e6 51961.1i 0.501804 0.0123692i
\(447\) 1.41285e7 3.34448
\(448\) −734013. 4.92778e6i −0.172786 1.16000i
\(449\) 3.17602e6 0.743476 0.371738 0.928338i \(-0.378762\pi\)
0.371738 + 0.928338i \(0.378762\pi\)
\(450\) −1.87011e6 + 46097.3i −0.435348 + 0.0107311i
\(451\) −112651. + 112651.i −0.0260792 + 0.0260792i
\(452\) 1.48571e6 73288.6i 0.342050 0.0168729i
\(453\) −1.75144e6 1.75144e6i −0.401004 0.401004i
\(454\) −3.32705e6 + 3.49521e6i −0.757564 + 0.795855i
\(455\) 1.81371e6i 0.410714i
\(456\) −880137. 1.18828e7i −0.198216 2.67612i
\(457\) 4.41310e6i 0.988447i 0.869335 + 0.494224i \(0.164548\pi\)
−0.869335 + 0.494224i \(0.835452\pi\)
\(458\) −3.35102e6 3.18979e6i −0.746472 0.710557i
\(459\) −1.10822e7 1.10822e7i −2.45525 2.45525i
\(460\) −1.45758e6 + 1.60884e6i −0.321172 + 0.354502i
\(461\) −2.80445e6 + 2.80445e6i −0.614604 + 0.614604i −0.944142 0.329539i \(-0.893107\pi\)
0.329539 + 0.944142i \(0.393107\pi\)
\(462\) −9673.52 392444.i −0.00210853 0.0855407i
\(463\) −2.47795e6 −0.537205 −0.268603 0.963251i \(-0.586562\pi\)
−0.268603 + 0.963251i \(0.586562\pi\)
\(464\) 2.08608e6 2.54399e6i 0.449818 0.548555i
\(465\) 6.42714e6 1.37843
\(466\) 113715. + 4.61327e6i 0.0242578 + 0.984111i
\(467\) −1.18173e6 + 1.18173e6i −0.250742 + 0.250742i −0.821275 0.570533i \(-0.806737\pi\)
0.570533 + 0.821275i \(0.306737\pi\)
\(468\) 5.98722e6 + 5.42430e6i 1.26360 + 1.14480i
\(469\) −4.13506e6 4.13506e6i −0.868060 0.868060i
\(470\) −1.26950e6 1.20842e6i −0.265086 0.252332i
\(471\) 1.64577e6i 0.341835i
\(472\) 538869. + 464548.i 0.111334 + 0.0959788i
\(473\) 185451.i 0.0381134i
\(474\) −5.93523e6 + 6.23523e6i −1.21337 + 1.27470i
\(475\) −1.04690e6 1.04690e6i −0.212898 0.212898i
\(476\) −472566. 9.57991e6i −0.0955972 1.93796i
\(477\) 412183. 412183.i 0.0829457 0.0829457i
\(478\) −1.44330e6 + 35576.6i −0.288927 + 0.00712189i
\(479\) 9.82296e6 1.95616 0.978078 0.208240i \(-0.0667734\pi\)
0.978078 + 0.208240i \(0.0667734\pi\)
\(480\) 3.99345e6 494588.i 0.791126 0.0979808i
\(481\) −1.84152e6 −0.362922
\(482\) 6.88293e6 169660.i 1.34945 0.0332631i
\(483\) −8.10672e6 + 8.10672e6i −1.58117 + 1.58117i
\(484\) −253489. 5.13875e6i −0.0491864 0.997112i
\(485\) −1.42138e6 1.42138e6i −0.274381 0.274381i
\(486\) 2.47196e6 2.59691e6i 0.474735 0.498730i
\(487\) 2.05462e6i 0.392562i 0.980548 + 0.196281i \(0.0628865\pi\)
−0.980548 + 0.196281i \(0.937114\pi\)
\(488\) −2.69940e6 + 3.13126e6i −0.513118 + 0.595210i
\(489\) 4.68748e6i 0.886476i
\(490\) −646372. 615273.i −0.121616 0.115765i
\(491\) 4.27455e6 + 4.27455e6i 0.800178 + 0.800178i 0.983123 0.182945i \(-0.0585631\pi\)
−0.182945 + 0.983123i \(0.558563\pi\)
\(492\) −6.39117e6 5.79028e6i −1.19033 1.07842i
\(493\) 4.47861e6 4.47861e6i 0.829901 0.829901i
\(494\) 157562. + 6.39212e6i 0.0290492 + 1.17849i
\(495\) 217277. 0.0398566
\(496\) −9.42812e6 + 932426.i −1.72076 + 0.170181i
\(497\) −9.38677e6 −1.70461
\(498\) 416509. + 1.68973e7i 0.0752576 + 3.05312i
\(499\) −2.64763e6 + 2.64763e6i −0.475999 + 0.475999i −0.903850 0.427850i \(-0.859271\pi\)
0.427850 + 0.903850i \(0.359271\pi\)
\(500\) 335705. 370543.i 0.0600527 0.0662848i
\(501\) −2.38667e6 2.38667e6i −0.424813 0.424813i
\(502\) 4.12320e6 + 3.92483e6i 0.730257 + 0.695122i
\(503\) 475460.i 0.0837904i 0.999122 + 0.0418952i \(0.0133396\pi\)
−0.999122 + 0.0418952i \(0.986660\pi\)
\(504\) 1.45228e7 1.07568e6i 2.54667 0.188628i
\(505\) 700474.i 0.122226i
\(506\) 173849. 182636.i 0.0301852 0.0317110i
\(507\) 2.82178e6 + 2.82178e6i 0.487532 + 0.487532i
\(508\) −9.15230e6 + 451473.i −1.57352 + 0.0776197i
\(509\) 2.26623e6 2.26623e6i 0.387712 0.387712i −0.486159 0.873870i \(-0.661602\pi\)
0.873870 + 0.486159i \(0.161602\pi\)
\(510\) 7.74452e6 190898.i 1.31847 0.0324995i
\(511\) 2.81601e6 0.477070
\(512\) −5.78633e6 + 1.30488e6i −0.975503 + 0.219986i
\(513\) 1.88327e7 3.15950
\(514\) 2.23289e6 55039.4i 0.372785 0.00918895i
\(515\) 2.29961e6 2.29961e6i 0.382063 0.382063i
\(516\) 1.00268e7 494612.i 1.65783 0.0817788i
\(517\) 143947. + 143947.i 0.0236851 + 0.0236851i
\(518\) −2.28861e6 + 2.40429e6i −0.374755 + 0.393697i
\(519\) 8.61845e6i 1.40447i
\(520\) −2.15346e6 + 159504.i −0.349244 + 0.0258680i
\(521\) 5.50679e6i 0.888801i 0.895828 + 0.444401i \(0.146583\pi\)
−0.895828 + 0.444401i \(0.853417\pi\)
\(522\) 6.96522e6 + 6.63011e6i 1.11882 + 1.06499i
\(523\) 4.02488e6 + 4.02488e6i 0.643426 + 0.643426i 0.951396 0.307970i \(-0.0996496\pi\)
−0.307970 + 0.951396i \(0.599650\pi\)
\(524\) 3.58014e6 3.95168e6i 0.569602 0.628714i
\(525\) 1.86712e6 1.86712e6i 0.295647 0.295647i
\(526\) −62275.3 2.52644e6i −0.00981412 0.398148i
\(527\) −1.82394e7 −2.86078
\(528\) −465108. + 45998.4i −0.0726054 + 0.00718056i
\(529\) −927561. −0.144113
\(530\) 3839.28 + 155755.i 0.000593691 + 0.0240854i
\(531\) −1.47048e6 + 1.47048e6i −0.226320 + 0.226320i
\(532\) 8.54136e6 + 7.73830e6i 1.30842 + 1.18540i
\(533\) 3.27241e6 + 3.27241e6i 0.498942 + 0.498942i
\(534\) −6.89833e6 6.56643e6i −1.04687 0.996497i
\(535\) 5.01624e6i 0.757694i
\(536\) −4.54601e6 + 5.27332e6i −0.683469 + 0.792815i
\(537\) 1.89218e7i 2.83156i
\(538\) 3.40307e6 3.57508e6i 0.506892 0.532513i
\(539\) 73291.2 + 73291.2i 0.0108663 + 0.0108663i
\(540\) 313353. + 6.35233e6i 0.0462434 + 0.937451i
\(541\) 7.20318e6 7.20318e6i 1.05811 1.05811i 0.0599075 0.998204i \(-0.480919\pi\)
0.998204 0.0599075i \(-0.0190806\pi\)
\(542\) 1.71331e6 42232.1i 0.250517 0.00617511i
\(543\) −7.27049e6 −1.05819
\(544\) −1.13329e7 + 1.40358e6i −1.64189 + 0.203348i
\(545\) −327038. −0.0471635
\(546\) −1.14001e7 + 281007.i −1.63655 + 0.0403400i
\(547\) 579264. 579264.i 0.0827767 0.0827767i −0.664506 0.747283i \(-0.731358\pi\)
0.747283 + 0.664506i \(0.231358\pi\)
\(548\) −129815. 2.63161e6i −0.0184660 0.374344i
\(549\) −8.54468e6 8.54468e6i −1.20994 1.20994i
\(550\) −40040.3 + 42064.1i −0.00564404 + 0.00592932i
\(551\) 7.61075e6i 1.06794i
\(552\) 1.03383e7 + 8.91239e6i 1.44411 + 1.24493i
\(553\) 8.32677e6i 1.15788i
\(554\) 4.36919e6 + 4.15898e6i 0.604821 + 0.575721i
\(555\) −1.89574e6 1.89574e6i −0.261245 0.261245i
\(556\) −7.20610e6 6.52858e6i −0.988583 0.895637i
\(557\) 1.06112e6 1.06112e6i 0.144920 0.144920i −0.630925 0.775844i \(-0.717324\pi\)
0.775844 + 0.630925i \(0.217324\pi\)
\(558\) −682392. 2.76839e7i −0.0927788 3.76393i
\(559\) −5.38720e6 −0.729178
\(560\) −2.46804e6 + 3.00979e6i −0.332569 + 0.405570i
\(561\) −899786. −0.120707
\(562\) −254785. 1.03363e7i −0.0340277 1.38046i
\(563\) 5.65144e6 5.65144e6i 0.751429 0.751429i −0.223317 0.974746i \(-0.571688\pi\)
0.974746 + 0.223317i \(0.0716885\pi\)
\(564\) −7.39887e6 + 8.16670e6i −0.979416 + 1.08106i
\(565\) −821747. 821747.i −0.108297 0.108297i
\(566\) −652529. 621134.i −0.0856168 0.0814975i
\(567\) 1.40387e7i 1.83388i
\(568\) 825504. + 1.11452e7i 0.107361 + 1.44949i
\(569\) 5.69200e6i 0.737028i 0.929622 + 0.368514i \(0.120133\pi\)
−0.929622 + 0.368514i \(0.879867\pi\)
\(570\) −6.41814e6 + 6.74255e6i −0.827413 + 0.869234i
\(571\) −500996. 500996.i −0.0643049 0.0643049i 0.674223 0.738528i \(-0.264479\pi\)
−0.738528 + 0.674223i \(0.764479\pi\)
\(572\) 250502. 12357.0i 0.0320126 0.00157915i
\(573\) 2.83869e6 2.83869e6i 0.361186 0.361186i
\(574\) 8.33936e6 205561.i 1.05646 0.0260411i
\(575\) 1.69603e6 0.213926
\(576\) −2.55436e6 1.71486e7i −0.320794 2.15364i
\(577\) 4.96081e6 0.620316 0.310158 0.950685i \(-0.399618\pi\)
0.310158 + 0.950685i \(0.399618\pi\)
\(578\) −1.39485e7 + 343822.i −1.73663 + 0.0428069i
\(579\) 1.12672e7 1.12672e7i 1.39676 1.39676i
\(580\) −2.56714e6 + 126634.i −0.316868 + 0.0156308i
\(581\) −1.15608e7 1.15608e7i −1.42084 1.42084i
\(582\) −8.71389e6 + 9.15434e6i −1.06636 + 1.12026i
\(583\) 18096.2i 0.00220504i
\(584\) −247649. 3.34352e6i −0.0300473 0.405669i
\(585\) 6.31170e6i 0.762529i
\(586\) −5.92791e6 5.64270e6i −0.713111 0.678802i
\(587\) −2.22699e6 2.22699e6i −0.266761 0.266761i 0.561032 0.827794i \(-0.310404\pi\)
−0.827794 + 0.561032i \(0.810404\pi\)
\(588\) −3.76717e6 + 4.15812e6i −0.449337 + 0.495968i
\(589\) 1.54976e7 1.54976e7i 1.84067 1.84067i
\(590\) −13696.8 555664.i −0.00161991 0.0657177i
\(591\) 8.99824e6 1.05971
\(592\) 3.05594e6 + 2.50588e6i 0.358377 + 0.293871i
\(593\) −749550. −0.0875314 −0.0437657 0.999042i \(-0.513936\pi\)
−0.0437657 + 0.999042i \(0.513936\pi\)
\(594\) −18203.3 738486.i −0.00211682 0.0858768i
\(595\) −5.29864e6 + 5.29864e6i −0.613581 + 0.613581i
\(596\) 1.20580e7 + 1.09243e7i 1.39047 + 1.25974i
\(597\) 8.94814e6 + 8.94814e6i 1.02754 + 1.02754i
\(598\) −5.30540e6 5.05014e6i −0.606688 0.577498i
\(599\) 1.24336e7i 1.41589i 0.706267 + 0.707946i \(0.250378\pi\)
−0.706267 + 0.707946i \(0.749622\pi\)
\(600\) −2.38108e6 2.05267e6i −0.270019 0.232778i
\(601\) 1.06573e7i 1.20354i 0.798668 + 0.601772i \(0.205538\pi\)
−0.798668 + 0.601772i \(0.794462\pi\)
\(602\) −6.69511e6 + 7.03352e6i −0.752951 + 0.791009i
\(603\) −1.43900e7 1.43900e7i −1.61164 1.61164i
\(604\) −140538. 2.84900e6i −0.0156748 0.317761i
\(605\) −2.84224e6 + 2.84224e6i −0.315698 + 0.315698i
\(606\) 4.40286e6 108528.i 0.487027 0.0120049i
\(607\) 1.21466e7 1.33808 0.669039 0.743228i \(-0.266706\pi\)
0.669039 + 0.743228i \(0.266706\pi\)
\(608\) 8.43673e6 1.08219e7i 0.925583 1.18726i
\(609\) −1.35735e7 −1.48303
\(610\) 3.22886e6 79589.5i 0.351337 0.00866027i
\(611\) 4.18152e6 4.18152e6i 0.453139 0.453139i
\(612\) −1.64453e6 3.33380e7i −0.177485 3.59800i
\(613\) 189949. + 189949.i 0.0204168 + 0.0204168i 0.717241 0.696825i \(-0.245404\pi\)
−0.696825 + 0.717241i \(0.745404\pi\)
\(614\) −3.92746e6 + 4.12597e6i −0.420427 + 0.441677i
\(615\) 6.73755e6i 0.718313i
\(616\) 295186. 342412.i 0.0313433 0.0363578i
\(617\) 1.08751e7i 1.15006i −0.818133 0.575028i \(-0.804991\pi\)
0.818133 0.575028i \(-0.195009\pi\)
\(618\) −1.48106e7 1.40980e7i −1.55991 1.48486i
\(619\) 1.32235e7 + 1.32235e7i 1.38714 + 1.38714i 0.831277 + 0.555859i \(0.187611\pi\)
0.555859 + 0.831277i \(0.312389\pi\)
\(620\) 5.48527e6 + 4.96954e6i 0.573084 + 0.519203i
\(621\) −1.52549e7 + 1.52549e7i −1.58738 + 1.58738i
\(622\) 64093.3 + 2.60019e6i 0.00664258 + 0.269482i
\(623\) 9.21230e6 0.950929
\(624\) 1.33621e6 + 1.35110e7i 0.137377 + 1.38907i
\(625\) −390625. −0.0400000
\(626\) −295204. 1.19761e7i −0.0301083 1.22146i
\(627\) 764528. 764528.i 0.0776649 0.0776649i
\(628\) 1.27253e6 1.40459e6i 0.128756 0.142118i
\(629\) 5.37988e6 + 5.37988e6i 0.542183 + 0.542183i
\(630\) −8.24054e6 7.84406e6i −0.827188 0.787390i
\(631\) 1.12988e7i 1.12969i −0.825197 0.564845i \(-0.808936\pi\)
0.825197 0.564845i \(-0.191064\pi\)
\(632\) −9.88659e6 + 732284.i −0.984587 + 0.0729267i
\(633\) 1.47691e7i 1.46502i
\(634\) −4.51418e6 + 4.74235e6i −0.446021 + 0.468565i
\(635\) 5.06213e6 + 5.06213e6i 0.498194 + 0.498194i
\(636\) 978411. 48263.9i 0.0959132 0.00473129i
\(637\) 2.12904e6 2.12904e6i 0.207891 0.207891i
\(638\) 298440. 7356.39i 0.0290273 0.000715506i
\(639\) −3.26659e7 −3.16477
\(640\) 3.79065e6 + 2.66568e6i 0.365817 + 0.257251i
\(641\) −1.29242e7 −1.24239 −0.621195 0.783656i \(-0.713352\pi\)
−0.621195 + 0.783656i \(0.713352\pi\)
\(642\) −3.15298e7 + 777191.i −3.01914 + 0.0744201i
\(643\) −816087. + 816087.i −0.0778411 + 0.0778411i −0.744955 0.667114i \(-0.767529\pi\)
0.667114 + 0.744955i \(0.267529\pi\)
\(644\) −1.31869e7 + 650496.i −1.25294 + 0.0618059i
\(645\) −5.54583e6 5.54583e6i −0.524889 0.524889i
\(646\) 1.82139e7 1.91345e7i 1.71720 1.80399i
\(647\) 1.14750e7i 1.07769i 0.842406 + 0.538844i \(0.181139\pi\)
−0.842406 + 0.538844i \(0.818861\pi\)
\(648\) 1.66686e7 1.23461e6i 1.55941 0.115503i
\(649\) 64559.1i 0.00601653i
\(650\) 1.22192e6 + 1.16313e6i 0.113439 + 0.107981i
\(651\) 2.76395e7 + 2.76395e7i 2.55610 + 2.55610i
\(652\) 3.62441e6 4.00054e6i 0.333902 0.368553i
\(653\) 5.60167e6 5.60167e6i 0.514084 0.514084i −0.401691 0.915775i \(-0.631577\pi\)
0.915775 + 0.401691i \(0.131577\pi\)
\(654\) 50669.6 + 2.05561e6i 0.00463237 + 0.187930i
\(655\) −4.16584e6 −0.379402
\(656\) −977458. 9.88346e6i −0.0886826 0.896704i
\(657\) 9.79969e6 0.885725
\(658\) −262667. 1.06561e7i −0.0236505 0.959475i
\(659\) 3.61020e6 3.61020e6i 0.323831 0.323831i −0.526404 0.850235i \(-0.676460\pi\)
0.850235 + 0.526404i \(0.176460\pi\)
\(660\) 270599. + 245157.i 0.0241806 + 0.0219071i
\(661\) 4.16305e6 + 4.16305e6i 0.370602 + 0.370602i 0.867696 0.497094i \(-0.165600\pi\)
−0.497094 + 0.867696i \(0.665600\pi\)
\(662\) 5.39151e6 + 5.13211e6i 0.478151 + 0.455146i
\(663\) 2.61380e7i 2.30934i
\(664\) −1.27097e7 + 1.47431e7i −1.11870 + 1.29768i
\(665\) 9.00426e6i 0.789576i
\(666\) −7.96434e6 + 8.36689e6i −0.695767 + 0.730935i
\(667\) −6.16489e6 6.16489e6i −0.536551 0.536551i
\(668\) −191510. 3.88231e6i −0.0166054 0.336627i
\(669\) −7.32406e6 + 7.32406e6i −0.632684 + 0.632684i
\(670\) 5.43767e6 134036.i 0.467979 0.0115354i
\(671\) −375140. −0.0321653
\(672\) 1.93005e7 + 1.50466e7i 1.64872 + 1.28533i
\(673\) 2.21199e7 1.88255 0.941273 0.337645i \(-0.109630\pi\)
0.941273 + 0.337645i \(0.109630\pi\)
\(674\) 9.44324e6 232771.i 0.800703 0.0197369i
\(675\) 3.51347e6 3.51347e6i 0.296809 0.296809i
\(676\) 226424. + 4.59009e6i 0.0190570 + 0.386326i
\(677\) −5.09252e6 5.09252e6i −0.427033 0.427033i 0.460584 0.887616i \(-0.347640\pi\)
−0.887616 + 0.460584i \(0.847640\pi\)
\(678\) −5.03780e6 + 5.29244e6i −0.420888 + 0.442162i
\(679\) 1.22251e7i 1.01760i
\(680\) 6.75719e6 + 5.82523e6i 0.560394 + 0.483104i
\(681\) 2.37033e7i 1.95858i
\(682\) −622688. 592728.i −0.0512636 0.0487972i
\(683\) 5.69497e6 + 5.69497e6i 0.467132 + 0.467132i 0.900984 0.433852i \(-0.142846\pi\)
−0.433852 + 0.900984i \(0.642846\pi\)
\(684\) 2.97239e7 + 2.69292e7i 2.42921 + 2.20082i
\(685\) −1.45554e6 + 1.45554e6i −0.118522 + 0.118522i
\(686\) 222473. + 9.02546e6i 0.0180496 + 0.732250i
\(687\) 2.27255e7 1.83705
\(688\) 8.93987e6 + 7.33073e6i 0.720046 + 0.590441i
\(689\) −525679. −0.0421864
\(690\) −262775. 1.06605e7i −0.0210117 0.852420i
\(691\) −2.98475e6 + 2.98475e6i −0.237801 + 0.237801i −0.815939 0.578138i \(-0.803779\pi\)
0.578138 + 0.815939i \(0.303779\pi\)
\(692\) 6.66389e6 7.35544e6i 0.529008 0.583907i
\(693\) 934384. + 934384.i 0.0739081 + 0.0739081i
\(694\) −1.71800e7 1.63534e7i −1.35402 1.28887i
\(695\) 7.59664e6i 0.596567i
\(696\) 1.19370e6 + 1.61162e7i 0.0934055 + 1.26107i
\(697\) 1.91203e7i 1.49078i
\(698\) 1.59783e7 1.67859e7i 1.24134 1.30409i
\(699\) −1.60284e7 1.60284e7i −1.24079 1.24079i
\(700\) 3.03717e6 149820.i 0.234274 0.0115565i
\(701\) −9.70805e6 + 9.70805e6i −0.746169 + 0.746169i −0.973757 0.227589i \(-0.926916\pi\)
0.227589 + 0.973757i \(0.426916\pi\)
\(702\) −2.14524e7 + 528789.i −1.64298 + 0.0404985i
\(703\) −9.14233e6 −0.697699
\(704\) −432514. 320369.i −0.0328904 0.0243624i
\(705\) 8.60929e6 0.652371
\(706\) 1.21506e7 299507.i 0.917461 0.0226149i
\(707\) −3.01234e6 + 3.01234e6i −0.226650 + 0.226650i
\(708\) −3.49053e6 + 172184.i −0.261702 + 0.0129095i
\(709\) 1.00421e7 + 1.00421e7i 0.750256 + 0.750256i 0.974527 0.224270i \(-0.0719999\pi\)
−0.224270 + 0.974527i \(0.572000\pi\)
\(710\) 6.01974e6 6.32401e6i 0.448159 0.470811i
\(711\) 2.89771e7i 2.14972i
\(712\) −810160. 1.09380e7i −0.0598923 0.808608i
\(713\) 2.51069e7i 1.84956i
\(714\) 3.41257e7 + 3.24838e7i 2.50516 + 2.38463i
\(715\) −138552. 138552.i −0.0101356 0.0101356i
\(716\) −1.46305e7 + 1.61488e7i −1.06654 + 1.17722i
\(717\) 5.01463e6 5.01463e6i 0.364285 0.364285i
\(718\) 363831. + 1.47602e7i 0.0263384 + 1.06852i
\(719\) −3.73707e6 −0.269593 −0.134796 0.990873i \(-0.543038\pi\)
−0.134796 + 0.990873i \(0.543038\pi\)
\(720\) −8.58876e6 + 1.04740e7i −0.617446 + 0.752979i
\(721\) 1.97786e7 1.41696
\(722\) 437068. + 1.77314e7i 0.0312037 + 1.26590i
\(723\) −2.39141e7 + 2.39141e7i −1.70141 + 1.70141i
\(724\) −6.20502e6 5.62163e6i −0.439943 0.398580i
\(725\) 1.41988e6 + 1.41988e6i 0.100324 + 0.100324i
\(726\) 1.83053e7 + 1.74246e7i 1.28895 + 1.22694i
\(727\) 2.73870e7i 1.92180i −0.276894 0.960900i \(-0.589305\pi\)
0.276894 0.960900i \(-0.410695\pi\)
\(728\) −9.94676e6 8.57489e6i −0.695590 0.599653i
\(729\) 4.82580e6i 0.336318i
\(730\) −1.80591e6 + 1.89719e6i −0.125426 + 0.131766i
\(731\) 1.57383e7 + 1.57383e7i 1.08935 + 1.08935i
\(732\) −1.00053e6 2.02828e7i −0.0690161 1.39910i
\(733\) −1.05278e6 + 1.05278e6i −0.0723728 + 0.0723728i −0.742367 0.669994i \(-0.766297\pi\)
0.669994 + 0.742367i \(0.266297\pi\)
\(734\) 41028.2 1011.32i 0.00281088 6.92866e-5i
\(735\) 4.38347e6 0.299295
\(736\) 1.93205e6 + 1.56000e7i 0.131469 + 1.06152i
\(737\) −631769. −0.0428439
\(738\) 2.90209e7 715349.i 1.96142 0.0483478i
\(739\) −1.09564e6 + 1.09564e6i −0.0737998 + 0.0737998i −0.743043 0.669243i \(-0.766618\pi\)
0.669243 + 0.743043i \(0.266618\pi\)
\(740\) −152117. 3.08374e6i −0.0102117 0.207013i
\(741\) −2.22089e7 2.22089e7i −1.48587 1.48587i
\(742\) −653304. + 686326.i −0.0435618 + 0.0457636i
\(743\) 4.23113e6i 0.281180i −0.990068 0.140590i \(-0.955100\pi\)
0.990068 0.140590i \(-0.0448999\pi\)
\(744\) 3.03864e7 3.52478e7i 2.01255 2.33453i
\(745\) 1.27115e7i 0.839087i
\(746\) −1.90105e7 1.80958e7i −1.25068 1.19051i
\(747\) −4.02313e7 4.02313e7i −2.63793 2.63793i
\(748\) −767925. 695725.i −0.0501840 0.0454657i
\(749\) 2.15720e7 2.15720e7i 1.40503 1.40503i
\(750\) 60521.5 + 2.45529e6i 0.00392877 + 0.159386i
\(751\) 1.15236e7 0.745568 0.372784 0.927918i \(-0.378403\pi\)
0.372784 + 0.927918i \(0.378403\pi\)
\(752\) −1.26292e7 + 1.24900e6i −0.814386 + 0.0805414i
\(753\) −2.79622e7 −1.79715
\(754\) −213697. 8.66943e6i −0.0136889 0.555344i
\(755\) −1.57578e6 + 1.57578e6i −0.100607 + 0.100607i
\(756\) −2.59702e7 + 2.86653e7i −1.65261 + 1.82412i
\(757\) −3.45229e6 3.45229e6i −0.218962 0.218962i 0.589099 0.808061i \(-0.299483\pi\)
−0.808061 + 0.589099i \(0.799483\pi\)
\(758\) 1.14569e7 + 1.09057e7i 0.724260 + 0.689414i
\(759\) 1.23857e6i 0.0780400i
\(760\) −1.06910e7 + 791865.i −0.671404 + 0.0497298i
\(761\) 1.60302e7i 1.00341i −0.865040 0.501703i \(-0.832707\pi\)
0.865040 0.501703i \(-0.167293\pi\)
\(762\) 3.10339e7 3.26025e7i 1.93619 2.03406i
\(763\)