Properties

Label 80.6.q.a.29.8
Level $80$
Weight $6$
Character 80.29
Analytic conductor $12.831$
Analytic rank $0$
Dimension $116$
CM no
Inner twists $4$

Related objects

Downloads

Learn more about

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 29.8
Character \(\chi\) \(=\) 80.29
Dual form 80.6.q.a.69.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-5.17693 - 2.28021i) q^{2} +(18.1244 - 18.1244i) q^{3} +(21.6013 + 23.6090i) q^{4} +(-35.0084 + 43.5822i) q^{5} +(-135.156 + 52.5013i) q^{6} +75.8099 q^{7} +(-57.9951 - 171.478i) q^{8} -413.986i q^{9} +O(q^{10})\) \(q+(-5.17693 - 2.28021i) q^{2} +(18.1244 - 18.1244i) q^{3} +(21.6013 + 23.6090i) q^{4} +(-35.0084 + 43.5822i) q^{5} +(-135.156 + 52.5013i) q^{6} +75.8099 q^{7} +(-57.9951 - 171.478i) q^{8} -413.986i q^{9} +(280.613 - 145.796i) q^{10} +(395.586 - 395.586i) q^{11} +(819.408 + 36.3881i) q^{12} +(-121.062 + 121.062i) q^{13} +(-392.463 - 172.862i) q^{14} +(155.396 + 1424.41i) q^{15} +(-90.7681 + 1019.97i) q^{16} -1708.17i q^{17} +(-943.974 + 2143.18i) q^{18} +(-508.967 - 508.967i) q^{19} +(-1785.16 + 114.920i) q^{20} +(1374.01 - 1374.01i) q^{21} +(-2949.94 + 1145.90i) q^{22} +3860.59 q^{23} +(-4159.05 - 2056.80i) q^{24} +(-673.824 - 3051.49i) q^{25} +(902.776 - 350.683i) q^{26} +(-3099.01 - 3099.01i) q^{27} +(1637.59 + 1789.79i) q^{28} +(-2262.59 - 2262.59i) q^{29} +(2443.47 - 7728.39i) q^{30} -4848.76 q^{31} +(2795.64 - 5073.34i) q^{32} -14339.5i q^{33} +(-3894.99 + 8843.11i) q^{34} +(-2653.98 + 3303.97i) q^{35} +(9773.78 - 8942.62i) q^{36} +(-7922.75 - 7922.75i) q^{37} +(1474.34 + 3795.44i) q^{38} +4388.34i q^{39} +(9503.69 + 3475.60i) q^{40} +12485.9i q^{41} +(-10246.2 + 3980.12i) q^{42} +(8754.53 + 8754.53i) q^{43} +(17884.5 + 794.213i) q^{44} +(18042.4 + 14493.0i) q^{45} +(-19986.0 - 8802.94i) q^{46} -13310.3i q^{47} +(16841.2 + 20131.4i) q^{48} -11059.9 q^{49} +(-3469.69 + 17333.8i) q^{50} +(-30959.6 - 30959.6i) q^{51} +(-5473.24 - 243.055i) q^{52} +(10445.2 + 10445.2i) q^{53} +(8976.97 + 23109.7i) q^{54} +(3391.69 + 31089.3i) q^{55} +(-4396.60 - 12999.7i) q^{56} -18449.4 q^{57} +(6554.10 + 16872.5i) q^{58} +(26174.4 - 26174.4i) q^{59} +(-30272.0 + 34437.7i) q^{60} +(37078.8 + 37078.8i) q^{61} +(25101.7 + 11056.2i) q^{62} -31384.2i q^{63} +(-26041.1 + 19889.7i) q^{64} +(-1037.97 - 9514.33i) q^{65} +(-32697.0 + 74234.6i) q^{66} +(17799.5 - 17799.5i) q^{67} +(40328.3 - 36898.8i) q^{68} +(69970.7 - 69970.7i) q^{69} +(21273.2 - 11052.8i) q^{70} +19815.3i q^{71} +(-70989.3 + 24009.1i) q^{72} +6581.86 q^{73} +(22950.0 + 59081.1i) q^{74} +(-67519.0 - 43093.7i) q^{75} +(1021.85 - 23010.5i) q^{76} +(29989.3 - 29989.3i) q^{77} +(10006.3 - 22718.1i) q^{78} -30328.6 q^{79} +(-41274.9 - 39663.4i) q^{80} -11736.6 q^{81} +(28470.5 - 64638.8i) q^{82} +(42.7319 - 42.7319i) q^{83} +(62119.2 + 2758.58i) q^{84} +(74446.1 + 59800.4i) q^{85} +(-25359.5 - 65283.8i) q^{86} -82016.1 q^{87} +(-90776.1 - 44892.1i) q^{88} -2809.87i q^{89} +(-60357.4 - 116170. i) q^{90} +(-9177.69 + 9177.69i) q^{91} +(83393.6 + 91144.5i) q^{92} +(-87880.7 + 87880.7i) q^{93} +(-30350.3 + 68906.6i) q^{94} +(40000.0 - 4363.80i) q^{95} +(-41281.9 - 142620. i) q^{96} +155990. i q^{97} +(57256.2 + 25218.8i) q^{98} +(-163767. - 163767. i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −5.17693 2.28021i −0.915161 0.403088i
\(3\) 18.1244 18.1244i 1.16268 1.16268i 0.178792 0.983887i \(-0.442781\pi\)
0.983887 0.178792i \(-0.0572189\pi\)
\(4\) 21.6013 + 23.6090i 0.675040 + 0.737781i
\(5\) −35.0084 + 43.5822i −0.626249 + 0.779623i
\(6\) −135.156 + 52.5013i −1.53270 + 0.595377i
\(7\) 75.8099 0.584764 0.292382 0.956302i \(-0.405552\pi\)
0.292382 + 0.956302i \(0.405552\pi\)
\(8\) −57.9951 171.478i −0.320381 0.947289i
\(9\) 413.986i 1.70364i
\(10\) 280.613 145.796i 0.887376 0.461047i
\(11\) 395.586 395.586i 0.985732 0.985732i −0.0141676 0.999900i \(-0.504510\pi\)
0.999900 + 0.0141676i \(0.00450983\pi\)
\(12\) 819.408 + 36.3881i 1.64266 + 0.0729468i
\(13\) −121.062 + 121.062i −0.198678 + 0.198678i −0.799433 0.600755i \(-0.794867\pi\)
0.600755 + 0.799433i \(0.294867\pi\)
\(14\) −392.463 172.862i −0.535154 0.235711i
\(15\) 155.396 + 1424.41i 0.178324 + 1.63458i
\(16\) −90.7681 + 1019.97i −0.0886408 + 0.996064i
\(17\) 1708.17i 1.43354i −0.697310 0.716770i \(-0.745620\pi\)
0.697310 0.716770i \(-0.254380\pi\)
\(18\) −943.974 + 2143.18i −0.686718 + 1.55911i
\(19\) −508.967 508.967i −0.323449 0.323449i 0.526640 0.850089i \(-0.323452\pi\)
−0.850089 + 0.526640i \(0.823452\pi\)
\(20\) −1785.16 + 114.920i −0.997934 + 0.0642424i
\(21\) 1374.01 1374.01i 0.679893 0.679893i
\(22\) −2949.94 + 1145.90i −1.29944 + 0.504767i
\(23\) 3860.59 1.52172 0.760858 0.648919i \(-0.224778\pi\)
0.760858 + 0.648919i \(0.224778\pi\)
\(24\) −4159.05 2056.80i −1.47389 0.728893i
\(25\) −673.824 3051.49i −0.215624 0.976477i
\(26\) 902.776 350.683i 0.261907 0.101738i
\(27\) −3099.01 3099.01i −0.818112 0.818112i
\(28\) 1637.59 + 1789.79i 0.394740 + 0.431428i
\(29\) −2262.59 2262.59i −0.499587 0.499587i 0.411722 0.911309i \(-0.364927\pi\)
−0.911309 + 0.411722i \(0.864927\pi\)
\(30\) 2443.47 7728.39i 0.495683 1.56778i
\(31\) −4848.76 −0.906205 −0.453103 0.891458i \(-0.649683\pi\)
−0.453103 + 0.891458i \(0.649683\pi\)
\(32\) 2795.64 5073.34i 0.482622 0.875829i
\(33\) 14339.5i 2.29218i
\(34\) −3894.99 + 8843.11i −0.577843 + 1.31192i
\(35\) −2653.98 + 3303.97i −0.366208 + 0.455896i
\(36\) 9773.78 8942.62i 1.25692 1.15003i
\(37\) −7922.75 7922.75i −0.951418 0.951418i 0.0474549 0.998873i \(-0.484889\pi\)
−0.998873 + 0.0474549i \(0.984889\pi\)
\(38\) 1474.34 + 3795.44i 0.165630 + 0.426386i
\(39\) 4388.34i 0.461997i
\(40\) 9503.69 + 3475.60i 0.939166 + 0.343463i
\(41\) 12485.9i 1.16001i 0.814613 + 0.580004i \(0.196949\pi\)
−0.814613 + 0.580004i \(0.803051\pi\)
\(42\) −10246.2 + 3980.12i −0.896268 + 0.348155i
\(43\) 8754.53 + 8754.53i 0.722040 + 0.722040i 0.969021 0.246980i \(-0.0794382\pi\)
−0.246980 + 0.969021i \(0.579438\pi\)
\(44\) 17884.5 + 794.213i 1.39266 + 0.0618451i
\(45\) 18042.4 + 14493.0i 1.32820 + 1.06691i
\(46\) −19986.0 8802.94i −1.39262 0.613385i
\(47\) 13310.3i 0.878908i −0.898265 0.439454i \(-0.855172\pi\)
0.898265 0.439454i \(-0.144828\pi\)
\(48\) 16841.2 + 20131.4i 1.05504 + 1.26116i
\(49\) −11059.9 −0.658051
\(50\) −3469.69 + 17333.8i −0.196275 + 0.980549i
\(51\) −30959.6 30959.6i −1.66675 1.66675i
\(52\) −5473.24 243.055i −0.280696 0.0124651i
\(53\) 10445.2 + 10445.2i 0.510774 + 0.510774i 0.914764 0.403990i \(-0.132377\pi\)
−0.403990 + 0.914764i \(0.632377\pi\)
\(54\) 8976.97 + 23109.7i 0.418934 + 1.07848i
\(55\) 3391.69 + 31089.3i 0.151185 + 1.38581i
\(56\) −4396.60 12999.7i −0.187347 0.553941i
\(57\) −18449.4 −0.752134
\(58\) 6554.10 + 16872.5i 0.255825 + 0.658580i
\(59\) 26174.4 26174.4i 0.978921 0.978921i −0.0208618 0.999782i \(-0.506641\pi\)
0.999782 + 0.0208618i \(0.00664100\pi\)
\(60\) −30272.0 + 34437.7i −1.08558 + 1.23497i
\(61\) 37078.8 + 37078.8i 1.27585 + 1.27585i 0.942966 + 0.332889i \(0.108023\pi\)
0.332889 + 0.942966i \(0.391977\pi\)
\(62\) 25101.7 + 11056.2i 0.829324 + 0.365280i
\(63\) 31384.2i 0.996230i
\(64\) −26041.1 + 19889.7i −0.794713 + 0.606986i
\(65\) −1037.97 9514.33i −0.0304719 0.279315i
\(66\) −32697.0 + 74234.6i −0.923950 + 2.09771i
\(67\) 17799.5 17799.5i 0.484418 0.484418i −0.422122 0.906539i \(-0.638714\pi\)
0.906539 + 0.422122i \(0.138714\pi\)
\(68\) 40328.3 36898.8i 1.05764 0.967698i
\(69\) 69970.7 69970.7i 1.76927 1.76927i
\(70\) 21273.2 11052.8i 0.518906 0.269604i
\(71\) 19815.3i 0.466503i 0.972416 + 0.233251i \(0.0749365\pi\)
−0.972416 + 0.233251i \(0.925063\pi\)
\(72\) −70989.3 + 24009.1i −1.61384 + 0.545814i
\(73\) 6581.86 0.144558 0.0722789 0.997384i \(-0.476973\pi\)
0.0722789 + 0.997384i \(0.476973\pi\)
\(74\) 22950.0 + 59081.1i 0.487196 + 1.25421i
\(75\) −67519.0 43093.7i −1.38603 0.884627i
\(76\) 1021.85 23010.5i 0.0202933 0.456975i
\(77\) 29989.3 29989.3i 0.576421 0.576421i
\(78\) 10006.3 22718.1i 0.186225 0.422801i
\(79\) −30328.6 −0.546745 −0.273373 0.961908i \(-0.588139\pi\)
−0.273373 + 0.961908i \(0.588139\pi\)
\(80\) −41274.9 39663.4i −0.721043 0.692890i
\(81\) −11736.6 −0.198760
\(82\) 28470.5 64638.8i 0.467585 1.06159i
\(83\) 42.7319 42.7319i 0.000680858 0.000680858i −0.706766 0.707447i \(-0.749847\pi\)
0.707447 + 0.706766i \(0.249847\pi\)
\(84\) 62119.2 + 2758.58i 0.960567 + 0.0426567i
\(85\) 74446.1 + 59800.4i 1.11762 + 0.897754i
\(86\) −25359.5 65283.8i −0.369738 0.951829i
\(87\) −82016.1 −1.16172
\(88\) −90776.1 44892.1i −1.24958 0.617964i
\(89\) 2809.87i 0.0376020i −0.999823 0.0188010i \(-0.994015\pi\)
0.999823 0.0188010i \(-0.00598489\pi\)
\(90\) −60357.4 116170.i −0.785461 1.51177i
\(91\) −9177.69 + 9177.69i −0.116180 + 0.116180i
\(92\) 83393.6 + 91144.5i 1.02722 + 1.12269i
\(93\) −87880.7 + 87880.7i −1.05363 + 1.05363i
\(94\) −30350.3 + 68906.6i −0.354277 + 0.804343i
\(95\) 40000.0 4363.80i 0.454728 0.0496085i
\(96\) −41281.9 142620.i −0.457174 1.57944i
\(97\) 155990.i 1.68332i 0.540010 + 0.841659i \(0.318421\pi\)
−0.540010 + 0.841659i \(0.681579\pi\)
\(98\) 57256.2 + 25218.8i 0.602223 + 0.265252i
\(99\) −163767. 163767.i −1.67934 1.67934i
\(100\) 57487.1 81824.4i 0.574871 0.818244i
\(101\) −53602.7 + 53602.7i −0.522858 + 0.522858i −0.918433 0.395576i \(-0.870545\pi\)
0.395576 + 0.918433i \(0.370545\pi\)
\(102\) 89681.4 + 230870.i 0.853497 + 2.19719i
\(103\) 129521. 1.20295 0.601475 0.798892i \(-0.294580\pi\)
0.601475 + 0.798892i \(0.294580\pi\)
\(104\) 27780.4 + 13738.4i 0.251858 + 0.124553i
\(105\) 11780.5 + 107984.i 0.104278 + 0.955843i
\(106\) −30257.0 77891.6i −0.261554 0.673327i
\(107\) 28069.1 + 28069.1i 0.237012 + 0.237012i 0.815611 0.578600i \(-0.196401\pi\)
−0.578600 + 0.815611i \(0.696401\pi\)
\(108\) 6221.84 140107.i 0.0513286 1.15585i
\(109\) 70590.2 + 70590.2i 0.569086 + 0.569086i 0.931872 0.362786i \(-0.118174\pi\)
−0.362786 + 0.931872i \(0.618174\pi\)
\(110\) 53331.6 168681.i 0.420245 1.32918i
\(111\) −287190. −2.21239
\(112\) −6881.12 + 77323.8i −0.0518340 + 0.582462i
\(113\) 181412.i 1.33651i −0.743934 0.668253i \(-0.767042\pi\)
0.743934 0.668253i \(-0.232958\pi\)
\(114\) 95511.4 + 42068.5i 0.688324 + 0.303176i
\(115\) −135153. + 168253.i −0.952973 + 1.18636i
\(116\) 4542.58 102292.i 0.0313442 0.705827i
\(117\) 50117.9 + 50117.9i 0.338476 + 0.338476i
\(118\) −195187. + 75820.2i −1.29046 + 0.501279i
\(119\) 129497.i 0.838283i
\(120\) 235242. 109255.i 1.49129 0.692612i
\(121\) 151925.i 0.943335i
\(122\) −107407. 276502.i −0.653331 1.68189i
\(123\) 226300. + 226300.i 1.34872 + 1.34872i
\(124\) −104740. 114474.i −0.611725 0.668581i
\(125\) 156580. + 77461.0i 0.896318 + 0.443412i
\(126\) −71562.5 + 162474.i −0.401568 + 0.911712i
\(127\) 86268.0i 0.474614i −0.971435 0.237307i \(-0.923735\pi\)
0.971435 0.237307i \(-0.0762647\pi\)
\(128\) 180166. 43588.5i 0.971959 0.235151i
\(129\) 317341. 1.67900
\(130\) −16321.2 + 51621.8i −0.0847019 + 0.267901i
\(131\) 125035. + 125035.i 0.636578 + 0.636578i 0.949710 0.313131i \(-0.101378\pi\)
−0.313131 + 0.949710i \(0.601378\pi\)
\(132\) 338541. 309751.i 1.69113 1.54731i
\(133\) −38584.7 38584.7i −0.189141 0.189141i
\(134\) −132733. + 51560.2i −0.638583 + 0.248057i
\(135\) 243553. 26570.4i 1.15016 0.125477i
\(136\) −292914. + 99065.7i −1.35798 + 0.459278i
\(137\) −147926. −0.673354 −0.336677 0.941620i \(-0.609303\pi\)
−0.336677 + 0.941620i \(0.609303\pi\)
\(138\) −521781. + 202686.i −2.33233 + 0.905995i
\(139\) −285453. + 285453.i −1.25313 + 1.25313i −0.298825 + 0.954308i \(0.596595\pi\)
−0.954308 + 0.298825i \(0.903405\pi\)
\(140\) −135333. + 8712.09i −0.583556 + 0.0375666i
\(141\) −241241. 241241.i −1.02189 1.02189i
\(142\) 45183.0 102582.i 0.188042 0.426925i
\(143\) 95780.7i 0.391686i
\(144\) 422253. + 37576.7i 1.69694 + 0.151012i
\(145\) 177818. 19399.1i 0.702355 0.0766235i
\(146\) −34073.9 15008.0i −0.132294 0.0582695i
\(147\) −200453. + 200453.i −0.765102 + 0.765102i
\(148\) 15906.4 358190.i 0.0596922 1.34418i
\(149\) −70377.1 + 70377.1i −0.259696 + 0.259696i −0.824931 0.565234i \(-0.808786\pi\)
0.565234 + 0.824931i \(0.308786\pi\)
\(150\) 251279. + 377050.i 0.911858 + 1.36827i
\(151\) 365502.i 1.30451i −0.758000 0.652254i \(-0.773824\pi\)
0.758000 0.652254i \(-0.226176\pi\)
\(152\) −57758.9 + 116794.i −0.202773 + 0.410026i
\(153\) −707160. −2.44224
\(154\) −223635. + 86870.8i −0.759866 + 0.295170i
\(155\) 169747. 211320.i 0.567510 0.706498i
\(156\) −103604. + 94793.8i −0.340852 + 0.311866i
\(157\) 195192. 195192.i 0.631994 0.631994i −0.316574 0.948568i \(-0.602533\pi\)
0.948568 + 0.316574i \(0.102533\pi\)
\(158\) 157009. + 69155.6i 0.500360 + 0.220386i
\(159\) 378627. 1.18773
\(160\) 123237. + 299450.i 0.380575 + 0.924750i
\(161\) 292671. 0.889845
\(162\) 60759.4 + 26761.8i 0.181897 + 0.0801176i
\(163\) −297450. + 297450.i −0.876890 + 0.876890i −0.993212 0.116322i \(-0.962890\pi\)
0.116322 + 0.993212i \(0.462890\pi\)
\(164\) −294780. + 269712.i −0.855832 + 0.783053i
\(165\) 624947. + 502002.i 1.78704 + 1.43548i
\(166\) −318.658 + 123.783i −0.000897541 + 0.000348650i
\(167\) −209565. −0.581471 −0.290736 0.956803i \(-0.593900\pi\)
−0.290736 + 0.956803i \(0.593900\pi\)
\(168\) −315297. 155926.i −0.861880 0.426231i
\(169\) 341981.i 0.921054i
\(170\) −249045. 479336.i −0.660930 1.27209i
\(171\) −210705. + 210705.i −0.551042 + 0.551042i
\(172\) −17576.4 + 395795.i −0.0453010 + 1.02011i
\(173\) −226462. + 226462.i −0.575281 + 0.575281i −0.933599 0.358319i \(-0.883350\pi\)
0.358319 + 0.933599i \(0.383350\pi\)
\(174\) 424592. + 187014.i 1.06316 + 0.468274i
\(175\) −51082.5 231333.i −0.126089 0.571009i
\(176\) 367579. + 439392.i 0.894476 + 1.06923i
\(177\) 948791.i 2.27634i
\(178\) −6407.08 + 14546.5i −0.0151569 + 0.0344119i
\(179\) 332063. + 332063.i 0.774619 + 0.774619i 0.978910 0.204291i \(-0.0654890\pi\)
−0.204291 + 0.978910i \(0.565489\pi\)
\(180\) 47575.3 + 739030.i 0.109446 + 1.70013i
\(181\) −567475. + 567475.i −1.28751 + 1.28751i −0.351214 + 0.936295i \(0.614231\pi\)
−0.936295 + 0.351214i \(0.885769\pi\)
\(182\) 68439.3 26585.2i 0.153154 0.0594925i
\(183\) 1.34406e6 2.96682
\(184\) −223895. 662004.i −0.487528 1.44150i
\(185\) 622654. 67928.4i 1.33757 0.145923i
\(186\) 655339. 254566.i 1.38894 0.539534i
\(187\) −675729. 675729.i −1.41309 1.41309i
\(188\) 314243. 287520.i 0.648442 0.593299i
\(189\) −234935. 234935.i −0.478403 0.478403i
\(190\) −217028. 68617.3i −0.436146 0.137895i
\(191\) 147312. 0.292183 0.146092 0.989271i \(-0.453331\pi\)
0.146092 + 0.989271i \(0.453331\pi\)
\(192\) −111491. + 832468.i −0.218266 + 1.62973i
\(193\) 213679.i 0.412923i −0.978455 0.206461i \(-0.933805\pi\)
0.978455 0.206461i \(-0.0661948\pi\)
\(194\) 355689. 807547.i 0.678525 1.54051i
\(195\) −191254. 153629.i −0.360183 0.289325i
\(196\) −238907. 261112.i −0.444211 0.485497i
\(197\) 79771.2 + 79771.2i 0.146447 + 0.146447i 0.776529 0.630082i \(-0.216979\pi\)
−0.630082 + 0.776529i \(0.716979\pi\)
\(198\) 474387. + 1.22123e6i 0.859944 + 2.21378i
\(199\) 846754.i 1.51574i 0.652406 + 0.757870i \(0.273760\pi\)
−0.652406 + 0.757870i \(0.726240\pi\)
\(200\) −484184. + 292517.i −0.855924 + 0.517102i
\(201\) 645208.i 1.12644i
\(202\) 399723. 155272.i 0.689257 0.267742i
\(203\) −171527. 171527.i −0.292141 0.292141i
\(204\) 62157.2 1.39969e6i 0.104572 2.35482i
\(205\) −544165. 437112.i −0.904369 0.726454i
\(206\) −670522. 295335.i −1.10089 0.484894i
\(207\) 1.59823e6i 2.59246i
\(208\) −112491. 134468.i −0.180285 0.215507i
\(209\) −402680. −0.637668
\(210\) 185239. 585889.i 0.289858 0.916783i
\(211\) 324835. + 324835.i 0.502293 + 0.502293i 0.912150 0.409857i \(-0.134421\pi\)
−0.409857 + 0.912150i \(0.634421\pi\)
\(212\) −20970.8 + 472232.i −0.0320461 + 0.721632i
\(213\) 359139. + 359139.i 0.542393 + 0.542393i
\(214\) −81308.5 209315.i −0.121367 0.312440i
\(215\) −688024. + 75060.0i −1.01510 + 0.110742i
\(216\) −351683. + 711137.i −0.512882 + 1.03710i
\(217\) −367584. −0.529916
\(218\) −204480. 526401.i −0.291414 0.750197i
\(219\) 119292. 119292.i 0.168074 0.168074i
\(220\) −660723. + 751644.i −0.920370 + 1.04702i
\(221\) 206795. + 206795.i 0.284812 + 0.284812i
\(222\) 1.48676e6 + 654852.i 2.02469 + 0.891787i
\(223\) 285532.i 0.384496i −0.981346 0.192248i \(-0.938422\pi\)
0.981346 0.192248i \(-0.0615778\pi\)
\(224\) 211937. 384610.i 0.282220 0.512153i
\(225\) −1.26327e6 + 278953.i −1.66357 + 0.367346i
\(226\) −413658. + 939160.i −0.538729 + 1.22312i
\(227\) −767705. + 767705.i −0.988849 + 0.988849i −0.999939 0.0110897i \(-0.996470\pi\)
0.0110897 + 0.999939i \(0.496470\pi\)
\(228\) −398531. 435572.i −0.507721 0.554910i
\(229\) 425119. 425119.i 0.535700 0.535700i −0.386563 0.922263i \(-0.626338\pi\)
0.922263 + 0.386563i \(0.126338\pi\)
\(230\) 1.08333e6 562858.i 1.35033 0.701583i
\(231\) 1.08707e6i 1.34038i
\(232\) −256765. + 519203.i −0.313195 + 0.633311i
\(233\) −530468. −0.640131 −0.320066 0.947395i \(-0.603705\pi\)
−0.320066 + 0.947395i \(0.603705\pi\)
\(234\) −145178. 373736.i −0.173325 0.446196i
\(235\) 580093. + 465973.i 0.685217 + 0.550416i
\(236\) 1.18335e6 + 52550.1i 1.38304 + 0.0614177i
\(237\) −549687. + 549687.i −0.635689 + 0.635689i
\(238\) −295279. + 670395.i −0.337902 + 0.767164i
\(239\) −180828. −0.204772 −0.102386 0.994745i \(-0.532648\pi\)
−0.102386 + 0.994745i \(0.532648\pi\)
\(240\) −1.46696e6 + 29208.0i −1.64395 + 0.0327321i
\(241\) 170927. 0.189569 0.0947846 0.995498i \(-0.469784\pi\)
0.0947846 + 0.995498i \(0.469784\pi\)
\(242\) −346421. + 786506.i −0.380247 + 0.863304i
\(243\) 540341. 540341.i 0.587019 0.587019i
\(244\) −74442.7 + 1.67634e6i −0.0800475 + 1.80255i
\(245\) 387188. 482013.i 0.412104 0.513031i
\(246\) −655528. 1.68755e6i −0.690642 1.77795i
\(247\) 123233. 0.128524
\(248\) 281204. + 831454.i 0.290330 + 0.858438i
\(249\) 1548.98i 0.00158324i
\(250\) −633978. 758046.i −0.641541 0.767089i
\(251\) 1.32474e6 1.32474e6i 1.32723 1.32723i 0.419460 0.907774i \(-0.362219\pi\)
0.907774 0.419460i \(-0.137781\pi\)
\(252\) 740949. 677939.i 0.735000 0.672496i
\(253\) 1.52719e6 1.52719e6i 1.50000 1.50000i
\(254\) −196709. + 446604.i −0.191311 + 0.434348i
\(255\) 2.43313e6 265443.i 2.34323 0.255635i
\(256\) −1.03210e6 185161.i −0.984286 0.176584i
\(257\) 732158.i 0.691468i −0.938333 0.345734i \(-0.887630\pi\)
0.938333 0.345734i \(-0.112370\pi\)
\(258\) −1.64285e6 723603.i −1.53656 0.676785i
\(259\) −600623. 600623.i −0.556356 0.556356i
\(260\) 202202. 230027.i 0.185504 0.211031i
\(261\) −936680. + 936680.i −0.851118 + 0.851118i
\(262\) −362191. 932401.i −0.325975 0.839169i
\(263\) −224636. −0.200258 −0.100129 0.994974i \(-0.531926\pi\)
−0.100129 + 0.994974i \(0.531926\pi\)
\(264\) −2.45890e6 + 831619.i −2.17136 + 0.734370i
\(265\) −820898. + 89555.9i −0.718083 + 0.0783393i
\(266\) 111769. + 287732.i 0.0968542 + 0.249335i
\(267\) −50927.0 50927.0i −0.0437190 0.0437190i
\(268\) 804719. + 35735.8i 0.684395 + 0.0303925i
\(269\) 372042. + 372042.i 0.313481 + 0.313481i 0.846257 0.532776i \(-0.178851\pi\)
−0.532776 + 0.846257i \(0.678851\pi\)
\(270\) −1.32144e6 417798.i −1.10316 0.348784i
\(271\) −611282. −0.505613 −0.252807 0.967517i \(-0.581354\pi\)
−0.252807 + 0.967517i \(0.581354\pi\)
\(272\) 1.74229e6 + 155048.i 1.42790 + 0.127070i
\(273\) 332680.i 0.270159i
\(274\) 765803. + 337302.i 0.616227 + 0.271421i
\(275\) −1.47368e6 940570.i −1.17509 0.749997i
\(276\) 3.16339e6 + 140479.i 2.49966 + 0.111004i
\(277\) 779074. + 779074.i 0.610069 + 0.610069i 0.942964 0.332895i \(-0.108025\pi\)
−0.332895 + 0.942964i \(0.608025\pi\)
\(278\) 2.12866e6 826878.i 1.65194 0.641696i
\(279\) 2.00732e6i 1.54385i
\(280\) 720474. + 263485.i 0.549191 + 0.200845i
\(281\) 815230.i 0.615906i −0.951402 0.307953i \(-0.900356\pi\)
0.951402 0.307953i \(-0.0996439\pi\)
\(282\) 698809. + 1.79897e6i 0.523282 + 1.34710i
\(283\) 1.30250e6 + 1.30250e6i 0.966741 + 0.966741i 0.999464 0.0327233i \(-0.0104180\pi\)
−0.0327233 + 0.999464i \(0.510418\pi\)
\(284\) −467819. + 428036.i −0.344177 + 0.314908i
\(285\) 645884. 804067.i 0.471023 0.586381i
\(286\) 218400. 495850.i 0.157884 0.358456i
\(287\) 946557.i 0.678332i
\(288\) −2.10029e6 1.15736e6i −1.49210 0.822216i
\(289\) −1.49800e6 −1.05504
\(290\) −964788. 305035.i −0.673654 0.212988i
\(291\) 2.82721e6 + 2.82721e6i 1.95716 + 1.95716i
\(292\) 142177. + 155391.i 0.0975824 + 0.106652i
\(293\) −371718. 371718.i −0.252955 0.252955i 0.569226 0.822181i \(-0.307243\pi\)
−0.822181 + 0.569226i \(0.807243\pi\)
\(294\) 1.49481e6 580657.i 1.00859 0.391788i
\(295\) 224416. + 2.05707e6i 0.150141 + 1.37624i
\(296\) −899094. + 1.81805e6i −0.596452 + 1.20608i
\(297\) −2.45184e6 −1.61288
\(298\) 524812. 203863.i 0.342345 0.132984i
\(299\) −467370. + 467370.i −0.302331 + 0.302331i
\(300\) −441099. 2.52493e6i −0.282965 1.61975i
\(301\) 663680. + 663680.i 0.422223 + 0.422223i
\(302\) −833420. + 1.89218e6i −0.525831 + 1.19384i
\(303\) 1.94303e6i 1.21583i
\(304\) 565328. 472932.i 0.350846 0.293505i
\(305\) −2.91405e6 + 317908.i −1.79369 + 0.195683i
\(306\) 3.66092e6 + 1.61247e6i 2.23505 + 0.984438i
\(307\) −1.01188e6 + 1.01188e6i −0.612750 + 0.612750i −0.943662 0.330912i \(-0.892644\pi\)
0.330912 + 0.943662i \(0.392644\pi\)
\(308\) 1.35583e6 + 60209.2i 0.814380 + 0.0361648i
\(309\) 2.34749e6 2.34749e6i 1.39864 1.39864i
\(310\) −1.36062e6 + 706930.i −0.804144 + 0.417803i
\(311\) 1.79315e6i 1.05127i 0.850709 + 0.525637i \(0.176173\pi\)
−0.850709 + 0.525637i \(0.823827\pi\)
\(312\) 752502. 254502.i 0.437644 0.148015i
\(313\) 2.85796e6 1.64890 0.824451 0.565934i \(-0.191484\pi\)
0.824451 + 0.565934i \(0.191484\pi\)
\(314\) −1.45557e6 + 565417.i −0.833125 + 0.323627i
\(315\) 1.36779e6 + 1.09871e6i 0.776684 + 0.623889i
\(316\) −655138. 716028.i −0.369075 0.403378i
\(317\) −883408. + 883408.i −0.493757 + 0.493757i −0.909488 0.415731i \(-0.863526\pi\)
0.415731 + 0.909488i \(0.363526\pi\)
\(318\) −1.96013e6 863348.i −1.08697 0.478760i
\(319\) −1.79010e6 −0.984918
\(320\) 44820.5 1.83124e6i 0.0244682 0.999701i
\(321\) 1.01747e6 0.551137
\(322\) −1.51514e6 667350.i −0.814352 0.358686i
\(323\) −869404. + 869404.i −0.463677 + 0.463677i
\(324\) −253525. 277088.i −0.134171 0.146641i
\(325\) 450993. + 287845.i 0.236844 + 0.151164i
\(326\) 2.21813e6 861631.i 1.15596 0.449032i
\(327\) 2.55881e6 1.32333
\(328\) 2.14106e6 724122.i 1.09886 0.371644i
\(329\) 1.00905e6i 0.513954i
\(330\) −2.09064e6 4.02384e6i −1.05680 2.03402i
\(331\) 44182.7 44182.7i 0.0221657 0.0221657i −0.695937 0.718103i \(-0.745011\pi\)
0.718103 + 0.695937i \(0.245011\pi\)
\(332\) 1931.92 + 85.7923i 0.000961931 + 4.27172e-5i
\(333\) −3.27990e6 + 3.27990e6i −1.62088 + 1.62088i
\(334\) 1.08491e6 + 477853.i 0.532140 + 0.234384i
\(335\) 152610. + 1.39887e6i 0.0742969 + 0.681029i
\(336\) 1.27673e6 + 1.52616e6i 0.616951 + 0.737483i
\(337\) 3.44388e6i 1.65186i −0.563772 0.825931i \(-0.690650\pi\)
0.563772 0.825931i \(-0.309350\pi\)
\(338\) 779788. 1.77041e6i 0.371266 0.842913i
\(339\) −3.28798e6 3.28798e6i −1.55393 1.55393i
\(340\) 196304. + 3.04936e6i 0.0920940 + 1.43058i
\(341\) −1.91810e6 + 1.91810e6i −0.893275 + 0.893275i
\(342\) 1.57126e6 610354.i 0.726410 0.282174i
\(343\) −2.11258e6 −0.969569
\(344\) 993486. 2.00892e6i 0.452653 0.915309i
\(345\) 599918. + 5.49904e6i 0.271359 + 2.48736i
\(346\) 1.68876e6 655998.i 0.758363 0.294586i
\(347\) −1.34939e6 1.34939e6i −0.601609 0.601609i 0.339131 0.940739i \(-0.389867\pi\)
−0.940739 + 0.339131i \(0.889867\pi\)
\(348\) −1.77165e6 1.93632e6i −0.784207 0.857093i
\(349\) 250676. + 250676.i 0.110166 + 0.110166i 0.760041 0.649875i \(-0.225179\pi\)
−0.649875 + 0.760041i \(0.725179\pi\)
\(350\) −263037. + 1.31408e6i −0.114775 + 0.573390i
\(351\) 750343. 0.325081
\(352\) −901025. 3.11286e6i −0.387597 1.33907i
\(353\) 1.50374e6i 0.642297i 0.947029 + 0.321148i \(0.104069\pi\)
−0.947029 + 0.321148i \(0.895931\pi\)
\(354\) −2.16344e6 + 4.91183e6i −0.917565 + 2.08322i
\(355\) −863594. 693701.i −0.363696 0.292147i
\(356\) 66338.1 60696.7i 0.0277420 0.0253828i
\(357\) −2.34704e6 2.34704e6i −0.974654 0.974654i
\(358\) −961896. 2.47624e6i −0.396662 1.02114i
\(359\) 3.76954e6i 1.54366i −0.635827 0.771831i \(-0.719341\pi\)
0.635827 0.771831i \(-0.280659\pi\)
\(360\) 1.43885e6 3.93439e6i 0.585139 1.60001i
\(361\) 1.95800e6i 0.790762i
\(362\) 4.23174e6 1.64382e6i 1.69726 0.659299i
\(363\) −2.75355e6 2.75355e6i −1.09680 1.09680i
\(364\) −414926. 18425.9i −0.164141 0.00728914i
\(365\) −230420. + 286852.i −0.0905293 + 0.112701i
\(366\) −6.95811e6 3.06474e6i −2.71512 1.19589i
\(367\) 1.61984e6i 0.627780i −0.949459 0.313890i \(-0.898368\pi\)
0.949459 0.313890i \(-0.101632\pi\)
\(368\) −350418. + 3.93768e6i −0.134886 + 1.51573i
\(369\) 5.16899e6 1.97624
\(370\) −3.37833e6 1.06812e6i −1.28291 0.405617i
\(371\) 791853. + 791853.i 0.298682 + 0.298682i
\(372\) −3.97311e6 176437.i −1.48858 0.0661047i
\(373\) 3.17324e6 + 3.17324e6i 1.18095 + 1.18095i 0.979499 + 0.201448i \(0.0645647\pi\)
0.201448 + 0.979499i \(0.435435\pi\)
\(374\) 1.95740e6 + 5.03901e6i 0.723604 + 1.86280i
\(375\) 4.24185e6 1.43399e6i 1.55768 0.526583i
\(376\) −2.28242e6 + 771932.i −0.832580 + 0.281585i
\(377\) 547827. 0.198513
\(378\) 680543. + 1.75195e6i 0.244977 + 0.630654i
\(379\) −1.01539e6 + 1.01539e6i −0.363108 + 0.363108i −0.864956 0.501848i \(-0.832654\pi\)
0.501848 + 0.864956i \(0.332654\pi\)
\(380\) 967077. + 850096.i 0.343560 + 0.302001i
\(381\) −1.56355e6 1.56355e6i −0.551823 0.551823i
\(382\) −762625. 335902.i −0.267395 0.117775i
\(383\) 2.13689e6i 0.744362i −0.928160 0.372181i \(-0.878610\pi\)
0.928160 0.372181i \(-0.121390\pi\)
\(384\) 2.47538e6 4.05541e6i 0.856671 1.40348i
\(385\) 257124. + 2.35688e6i 0.0884078 + 0.810374i
\(386\) −487233. + 1.10620e6i −0.166444 + 0.377891i
\(387\) 3.62425e6 3.62425e6i 1.23010 1.23010i
\(388\) −3.68275e6 + 3.36958e6i −1.24192 + 1.13631i
\(389\) 787350. 787350.i 0.263812 0.263812i −0.562789 0.826601i \(-0.690272\pi\)
0.826601 + 0.562789i \(0.190272\pi\)
\(390\) 639802. + 1.23142e6i 0.213002 + 0.409964i
\(391\) 6.59455e6i 2.18144i
\(392\) 641417. + 1.89652e6i 0.210827 + 0.623364i
\(393\) 4.53235e6 1.48027
\(394\) −231075. 594865.i −0.0749916 0.193054i
\(395\) 1.06176e6 1.32179e6i 0.342399 0.426255i
\(396\) 328793. 7.40394e6i 0.105362 2.37260i
\(397\) 2.18405e6 2.18405e6i 0.695482 0.695482i −0.267951 0.963433i \(-0.586347\pi\)
0.963433 + 0.267951i \(0.0863465\pi\)
\(398\) 1.93078e6 4.38359e6i 0.610976 1.38715i
\(399\) −1.39865e6 −0.439821
\(400\) 3.17359e6 410302.i 0.991746 0.128219i
\(401\) 5.54165e6 1.72099 0.860495 0.509460i \(-0.170155\pi\)
0.860495 + 0.509460i \(0.170155\pi\)
\(402\) −1.47121e6 + 3.34020e6i −0.454056 + 1.03088i
\(403\) 587000. 587000.i 0.180043 0.180043i
\(404\) −2.42339e6 107618.i −0.738704 0.0328042i
\(405\) 410878. 511506.i 0.124473 0.154958i
\(406\) 496866. + 1.27910e6i 0.149597 + 0.385114i
\(407\) −6.26825e6 −1.87569
\(408\) −3.51337e6 + 7.10438e6i −1.04490 + 2.11288i
\(409\) 5.62401e6i 1.66241i −0.555966 0.831205i \(-0.687652\pi\)
0.555966 0.831205i \(-0.312348\pi\)
\(410\) 1.82040e6 + 3.50371e6i 0.534819 + 1.02936i
\(411\) −2.68107e6 + 2.68107e6i −0.782894 + 0.782894i
\(412\) 2.79782e6 + 3.05786e6i 0.812039 + 0.887513i
\(413\) 1.98428e6 1.98428e6i 0.572438 0.572438i
\(414\) −3.64429e6 + 8.27391e6i −1.04499 + 2.37252i
\(415\) 366.377 + 3358.33i 0.000104426 + 0.000957200i
\(416\) 275743. + 952634.i 0.0781215 + 0.269894i
\(417\) 1.03473e7i 2.91398i
\(418\) 2.08465e6 + 918195.i 0.583569 + 0.257036i
\(419\) 606666. + 606666.i 0.168816 + 0.168816i 0.786459 0.617643i \(-0.211912\pi\)
−0.617643 + 0.786459i \(0.711912\pi\)
\(420\) −2.29492e6 + 2.61072e6i −0.634811 + 0.722167i
\(421\) −2.51245e6 + 2.51245e6i −0.690863 + 0.690863i −0.962422 0.271559i \(-0.912461\pi\)
0.271559 + 0.962422i \(0.412461\pi\)
\(422\) −940958. 2.42234e6i −0.257211 0.662147i
\(423\) −5.51028e6 −1.49735
\(424\) 1.18535e6 2.39690e6i 0.320208 0.647492i
\(425\) −5.21248e6 + 1.15101e6i −1.39982 + 0.309105i
\(426\) −1.04033e6 2.67815e6i −0.277745 0.715009i
\(427\) 2.81094e6 + 2.81094e6i 0.746074 + 0.746074i
\(428\) −56354.1 + 1.26901e6i −0.0148702 + 0.334855i
\(429\) 1.73596e6 + 1.73596e6i 0.455405 + 0.455405i
\(430\) 3.73301e6 + 1.18026e6i 0.973616 + 0.307826i
\(431\) −7.07026e6 −1.83334 −0.916668 0.399649i \(-0.869132\pi\)
−0.916668 + 0.399649i \(0.869132\pi\)
\(432\) 3.44218e6 2.87960e6i 0.887410 0.742374i
\(433\) 1.34061e6i 0.343624i −0.985130 0.171812i \(-0.945038\pi\)
0.985130 0.171812i \(-0.0549621\pi\)
\(434\) 1.90296e6 + 838168.i 0.484959 + 0.213603i
\(435\) 2.87125e6 3.57444e6i 0.727525 0.905702i
\(436\) −141723. + 3.19140e6i −0.0357046 + 0.804017i
\(437\) −1.96491e6 1.96491e6i −0.492197 0.492197i
\(438\) −889578. + 345557.i −0.221564 + 0.0860664i
\(439\) 3.61051e6i 0.894143i 0.894498 + 0.447072i \(0.147533\pi\)
−0.894498 + 0.447072i \(0.852467\pi\)
\(440\) 5.13442e6 2.38463e6i 1.26433 0.587204i
\(441\) 4.57862e6i 1.12108i
\(442\) −599028. 1.54210e6i −0.145845 0.375454i
\(443\) −3.85627e6 3.85627e6i −0.933594 0.933594i 0.0643341 0.997928i \(-0.479508\pi\)
−0.997928 + 0.0643341i \(0.979508\pi\)
\(444\) −6.20367e6 6.78026e6i −1.49345 1.63226i
\(445\) 122460. + 98368.9i 0.0293154 + 0.0235482i
\(446\) −651072. + 1.47818e6i −0.154986 + 0.351876i
\(447\) 2.55108e6i 0.603887i
\(448\) −1.97418e6 + 1.50784e6i −0.464720 + 0.354944i
\(449\) 2.13218e6 0.499123 0.249561 0.968359i \(-0.419714\pi\)
0.249561 + 0.968359i \(0.419714\pi\)
\(450\) 7.17595e6 + 1.43640e6i 1.67051 + 0.334383i
\(451\) 4.93925e6 + 4.93925e6i 1.14346 + 1.14346i
\(452\) 4.28296e6 3.91874e6i 0.986048 0.902195i
\(453\) −6.62448e6 6.62448e6i −1.51672 1.51672i
\(454\) 5.72489e6 2.22383e6i 1.30355 0.506363i
\(455\) −78688.1 721280.i −0.0178189 0.163334i
\(456\) 1.06997e6 + 3.16366e6i 0.240969 + 0.712488i
\(457\) 667772. 0.149568 0.0747838 0.997200i \(-0.476173\pi\)
0.0747838 + 0.997200i \(0.476173\pi\)
\(458\) −3.17017e6 + 1.23145e6i −0.706186 + 0.274318i
\(459\) −5.29364e6 + 5.29364e6i −1.17280 + 1.17280i
\(460\) −6.89176e6 + 443659.i −1.51857 + 0.0977586i
\(461\) 651198. + 651198.i 0.142712 + 0.142712i 0.774853 0.632141i \(-0.217824\pi\)
−0.632141 + 0.774853i \(0.717824\pi\)
\(462\) −2.47876e6 + 5.62772e6i −0.540293 + 1.22667i
\(463\) 481339.i 0.104352i 0.998638 + 0.0521758i \(0.0166156\pi\)
−0.998638 + 0.0521758i \(0.983384\pi\)
\(464\) 2.51314e6 2.10240e6i 0.541904 0.453337i
\(465\) −753476. 6.90660e6i −0.161598 1.48126i
\(466\) 2.74620e6 + 1.20958e6i 0.585824 + 0.258029i
\(467\) 2.35241e6 2.35241e6i 0.499138 0.499138i −0.412031 0.911170i \(-0.635181\pi\)
0.911170 + 0.412031i \(0.135181\pi\)
\(468\) −100621. + 2.26584e6i −0.0212361 + 0.478206i
\(469\) 1.34938e6 1.34938e6i 0.283270 0.283270i
\(470\) −1.94059e6 3.73504e6i −0.405218 0.779922i
\(471\) 7.07546e6i 1.46961i
\(472\) −6.00632e6 2.97034e6i −1.24095 0.613694i
\(473\) 6.92633e6 1.42348
\(474\) 4.09910e6 1.59229e6i 0.837997 0.325520i
\(475\) −1.21015e6 + 1.89606e6i −0.246097 + 0.385583i
\(476\) 3.05728e6 2.79729e6i 0.618469 0.565875i
\(477\) 4.32418e6 4.32418e6i 0.870177 0.870177i
\(478\) 936133. + 412325.i 0.187399 + 0.0825410i
\(479\) −6.44927e6 −1.28432 −0.642158 0.766573i \(-0.721961\pi\)
−0.642158 + 0.766573i \(0.721961\pi\)
\(480\) 7.66093e6 + 3.19376e6i 1.51767 + 0.632701i
\(481\) 1.91829e6 0.378051
\(482\) −884877. 389749.i −0.173486 0.0764130i
\(483\) 5.30447e6 5.30447e6i 1.03460 1.03460i
\(484\) 3.58680e6 3.28178e6i 0.695975 0.636790i
\(485\) −6.79837e6 5.46094e6i −1.31235 1.05418i
\(486\) −4.02940e6 + 1.56522e6i −0.773837 + 0.300597i
\(487\) 358765. 0.0685470 0.0342735 0.999412i \(-0.489088\pi\)
0.0342735 + 0.999412i \(0.489088\pi\)
\(488\) 4.20780e6 8.50858e6i 0.799844 1.61736i
\(489\) 1.07822e7i 2.03908i
\(490\) −3.10354e6 + 1.61248e6i −0.583938 + 0.303392i
\(491\) 3.27547e6 3.27547e6i 0.613154 0.613154i −0.330613 0.943767i \(-0.607255\pi\)
0.943767 + 0.330613i \(0.107255\pi\)
\(492\) −454339. + 1.02311e7i −0.0846189 + 1.90550i
\(493\) −3.86490e6 + 3.86490e6i −0.716178 + 0.716178i
\(494\) −637969. 280997.i −0.117620 0.0518065i
\(495\) 1.28705e7 1.40411e6i 2.36093 0.257566i
\(496\) 440113. 4.94559e6i 0.0803267 0.902638i
\(497\) 1.50219e6i 0.272794i
\(498\) −3531.99 + 8018.95i −0.000638184 + 0.00144892i
\(499\) 1.88264e6 + 1.88264e6i 0.338467 + 0.338467i 0.855790 0.517323i \(-0.173071\pi\)
−0.517323 + 0.855790i \(0.673071\pi\)
\(500\) 1.55356e6 + 5.36996e6i 0.277910 + 0.960607i
\(501\) −3.79824e6 + 3.79824e6i −0.676065 + 0.676065i
\(502\) −9.87880e6 + 3.83742e6i −1.74963 + 0.679641i
\(503\) −1.54625e6 −0.272495 −0.136248 0.990675i \(-0.543504\pi\)
−0.136248 + 0.990675i \(0.543504\pi\)
\(504\) −5.38169e6 + 1.82013e6i −0.943718 + 0.319173i
\(505\) −459582. 4.21267e6i −0.0801926 0.735071i
\(506\) −1.13885e7 + 4.42386e6i −1.97738 + 0.768112i
\(507\) 6.19819e6 + 6.19819e6i 1.07089 + 1.07089i
\(508\) 2.03670e6 1.86350e6i 0.350161 0.320384i
\(509\) 1.51480e6 + 1.51480e6i 0.259156 + 0.259156i 0.824711 0.565554i \(-0.191338\pi\)
−0.565554 + 0.824711i \(0.691338\pi\)
\(510\) −1.32014e7 4.17387e6i −2.24748 0.710581i
\(511\) 498970. 0.0845323
\(512\) 4.92090e6 + 3.31197e6i 0.829601 + 0.558356i
\(513\) 3.15458e6i 0.529235i
\(514\) −1.66947e6 + 3.79033e6i −0.278722 + 0.632805i
\(515\) −4.53432e6 + 5.64482e6i −0.753346 + 0.937847i
\(516\) 6.85497e6 + 7.49209e6i 1.13339 + 1.23874i
\(517\) −5.26537e6 5.26537e6i −0.866368 0.866368i
\(518\) 1.73984e6 + 4.47893e6i 0.284895 + 0.733415i
\(519\) 8.20896e6i 1.33773i
\(520\) −1.57130e6 + 729772.i −0.254830 + 0.118353i
\(521\) 9.46124e6i 1.52705i −0.645777 0.763526i \(-0.723466\pi\)
0.645777 0.763526i \(-0.276534\pi\)
\(522\) 6.98496e6 2.71330e6i 1.12199 0.435835i
\(523\) −1.05029e6 1.05029e6i −0.167902 0.167902i 0.618154 0.786057i \(-0.287881\pi\)
−0.786057 + 0.618154i \(0.787881\pi\)
\(524\) −251030. + 5.65285e6i −0.0399391 + 0.899371i
\(525\) −5.11861e6 3.26693e6i −0.810501 0.517299i
\(526\) 1.16292e6 + 512217.i 0.183268 + 0.0807215i
\(527\) 8.28253e6i 1.29908i
\(528\) 1.46258e7 + 1.30157e6i 2.28316 + 0.203181i
\(529\) 8.46778e6 1.31562
\(530\) 4.45394e6 + 1.40819e6i 0.688739 + 0.217757i
\(531\) −1.08358e7 1.08358e7i −1.66773 1.66773i
\(532\) 77466.1 1.74443e6i 0.0118668 0.267223i
\(533\) −1.51157e6 1.51157e6i −0.230468 0.230468i
\(534\) 147522. + 379770.i 0.0223873 + 0.0576325i
\(535\) −2.20597e6 + 240660.i −0.333208 + 0.0363513i
\(536\) −4.08449e6 2.01993e6i −0.614081 0.303686i
\(537\) 1.20369e7 1.80127
\(538\) −1.07770e6 2.77437e6i −0.160525 0.413246i
\(539\) −4.37512e6 + 4.37512e6i −0.648662 + 0.648662i
\(540\) 5.88836e6 + 5.17608e6i 0.868980 + 0.763865i
\(541\) 2.67729e6 + 2.67729e6i 0.393281 + 0.393281i 0.875855 0.482574i \(-0.160298\pi\)
−0.482574 + 0.875855i \(0.660298\pi\)
\(542\) 3.16457e6 + 1.39385e6i 0.462718 + 0.203806i
\(543\) 2.05703e7i 2.99392i
\(544\) −8.66615e6 4.77545e6i −1.25554 0.691858i
\(545\) −5.54773e6 + 605229.i −0.800062 + 0.0872828i
\(546\) 758579. 1.72226e6i 0.108898 0.247239i
\(547\) 1.71378e6 1.71378e6i 0.244898 0.244898i −0.573975 0.818873i \(-0.694599\pi\)
0.818873 + 0.573975i \(0.194599\pi\)
\(548\) −3.19539e6 3.49238e6i −0.454541 0.496787i
\(549\) 1.53501e7 1.53501e7i 2.17360 2.17360i
\(550\) 5.48445e6 + 8.22957e6i 0.773084 + 1.16003i
\(551\) 2.30317e6i 0.323181i
\(552\) −1.60564e7 7.94045e6i −2.24285 1.10917i
\(553\) −2.29921e6 −0.319717
\(554\) −2.25676e6 5.80967e6i −0.312400 0.804224i
\(555\) 1.00540e7 1.25164e7i 1.38551 1.72483i
\(556\) −1.29054e7 573100.i −1.77045 0.0786219i
\(557\) −5.72131e6 + 5.72131e6i −0.781371 + 0.781371i −0.980062 0.198691i \(-0.936331\pi\)
0.198691 + 0.980062i \(0.436331\pi\)
\(558\) 4.57710e6 1.03917e7i 0.622308 1.41287i
\(559\) −2.11968e6 −0.286907
\(560\) −3.12905e6 3.00688e6i −0.421640 0.405178i
\(561\) −2.44943e7 −3.28593
\(562\) −1.85889e6 + 4.22039e6i −0.248264 + 0.563653i
\(563\) 3.57673e6 3.57673e6i 0.475571 0.475571i −0.428141 0.903712i \(-0.640831\pi\)
0.903712 + 0.428141i \(0.140831\pi\)
\(564\) 484337. 1.09066e7i 0.0641135 1.44374i
\(565\) 7.90636e6 + 6.35096e6i 1.04197 + 0.836986i
\(566\) −3.77297e6 9.71290e6i −0.495043 1.27441i
\(567\) −889747. −0.116228
\(568\) 3.39788e6 1.14919e6i 0.441913 0.149458i
\(569\) 5.56828e6i 0.721009i 0.932758 + 0.360504i \(0.117395\pi\)
−0.932758 + 0.360504i \(0.882605\pi\)
\(570\) −5.17714e6 + 2.68985e6i −0.667425 + 0.346769i
\(571\) 6.27398e6 6.27398e6i 0.805292 0.805292i −0.178625 0.983917i \(-0.557165\pi\)
0.983917 + 0.178625i \(0.0571650\pi\)
\(572\) −2.26128e6 + 2.06899e6i −0.288978 + 0.264404i
\(573\) 2.66994e6 2.66994e6i 0.339715 0.339715i
\(574\) 2.15835e6 4.90026e6i 0.273427 0.620783i
\(575\) −2.60136e6 1.17805e7i −0.328118 1.48592i
\(576\) 8.23405e6 + 1.07807e7i 1.03409 + 1.35391i
\(577\) 3.60595e6i 0.450900i 0.974255 + 0.225450i \(0.0723852\pi\)
−0.974255 + 0.225450i \(0.927615\pi\)
\(578\) 7.75506e6 + 3.41576e6i 0.965530 + 0.425273i
\(579\) −3.87280e6 3.87280e6i −0.480097 0.480097i
\(580\) 4.29910e6 + 3.77907e6i 0.530650 + 0.466460i
\(581\) 3239.50 3239.50i 0.000398142 0.000398142i
\(582\) −8.18966e6 2.10829e7i −1.00221 2.58002i
\(583\) 8.26397e6 1.00697
\(584\) −381716. 1.12864e6i −0.0463135 0.136938i
\(585\) −3.93880e6 + 429703.i −0.475854 + 0.0519133i
\(586\) 1.07676e6 + 2.77195e6i 0.129532 + 0.333458i
\(587\) 4.97476e6 + 4.97476e6i 0.595905 + 0.595905i 0.939220 0.343315i \(-0.111550\pi\)
−0.343315 + 0.939220i \(0.611550\pi\)
\(588\) −9.06253e6 402447.i −1.08095 0.0480027i
\(589\) 2.46786e6 + 2.46786e6i 0.293111 + 0.293111i
\(590\) 3.52876e6 1.11610e7i 0.417342 1.32000i
\(591\) 2.89160e6 0.340542
\(592\) 8.80009e6 7.36183e6i 1.03201 0.863339i
\(593\) 2.76669e6i 0.323090i 0.986865 + 0.161545i \(0.0516476\pi\)
−0.986865 + 0.161545i \(0.948352\pi\)
\(594\) 1.26930e7 + 5.59072e6i 1.47604 + 0.650132i
\(595\) 5.64375e6 + 4.53347e6i 0.653545 + 0.524974i
\(596\) −3.18177e6 141295.i −0.366905 0.0162934i
\(597\) 1.53469e7 + 1.53469e7i 1.76232 + 1.76232i
\(598\) 3.48524e6 1.35384e6i 0.398547 0.154816i
\(599\) 1.70067e6i 0.193666i 0.995301 + 0.0968328i \(0.0308712\pi\)
−0.995301 + 0.0968328i \(0.969129\pi\)
\(600\) −3.47383e6 + 1.40772e7i −0.393941 + 1.59639i
\(601\) 2.77118e6i 0.312953i −0.987682 0.156476i \(-0.949986\pi\)
0.987682 0.156476i \(-0.0500135\pi\)
\(602\) −1.92250e6 4.94916e6i −0.216209 0.556596i
\(603\) −7.36872e6 7.36872e6i −0.825275 0.825275i
\(604\) 8.62912e6 7.89531e6i 0.962441 0.880596i
\(605\) 6.62124e6 + 5.31865e6i 0.735446 + 0.590763i
\(606\) 4.43052e6 1.00589e7i 0.490087 1.11268i
\(607\) 4.78199e6i 0.526789i −0.964688 0.263395i \(-0.915158\pi\)
0.964688 0.263395i \(-0.0848421\pi\)
\(608\) −4.00505e6 + 1.15927e6i −0.439389 + 0.127182i
\(609\) −6.21763e6 −0.679331
\(610\) 1.58107e7 + 4.99885e6i 1.72039 + 0.543933i
\(611\) 1.61137e6 + 1.61137e6i 0.174619 + 0.174619i
\(612\) −1.52756e7 1.66953e7i −1.64861 1.80184i
\(613\) −8.08618e6 8.08618e6i −0.869145 0.869145i 0.123232 0.992378i \(-0.460674\pi\)
−0.992378 + 0.123232i \(0.960674\pi\)
\(614\) 7.54574e6 2.93114e6i 0.807757 0.313773i
\(615\) −1.77850e7 + 1.94026e6i −1.89612 + 0.206858i
\(616\) −6.88173e6 3.40326e6i −0.730711 0.361363i
\(617\) −1.63283e7 −1.72675 −0.863373 0.504566i \(-0.831653\pi\)
−0.863373 + 0.504566i \(0.831653\pi\)
\(618\) −1.75055e7 + 6.80003e6i −1.84376 + 0.716208i
\(619\) 5.63689e6 5.63689e6i 0.591307 0.591307i −0.346677 0.937984i \(-0.612690\pi\)
0.937984 + 0.346677i \(0.112690\pi\)
\(620\) 8.65581e6 557221.i 0.904333 0.0582168i
\(621\) −1.19640e7 1.19640e7i −1.24493 1.24493i
\(622\) 4.08876e6 9.28303e6i 0.423756 0.962086i
\(623\) 213016.i 0.0219883i
\(624\) −4.47597e6 398322.i −0.460178 0.0409517i
\(625\) −8.85755e6 + 4.11233e6i −0.907013 + 0.421103i
\(626\) −1.47955e7 6.51674e6i −1.50901 0.664652i
\(627\) −7.29832e6 + 7.29832e6i −0.741403 + 0.741403i
\(628\) 8.82468e6 + 391884.i 0.892894 + 0.0396514i
\(629\) −1.35334e7 + 1.35334e7i −1.36390 + 1.36390i
\(630\) −4.57569e6 8.80681e6i −0.459309 0.884030i
\(631\) 1.84472e7i 1.84441i 0.386698 + 0.922206i \(0.373616\pi\)
−0.386698 + 0.922206i \(0.626384\pi\)
\(632\) 1.75891e6 + 5.20068e6i 0.175167 + 0.517926i
\(633\) 1.17749e7 1.16801
\(634\) 6.58770e6 2.55899e6i 0.650895 0.252840i
\(635\) 3.75975e6 + 3.02010e6i 0.370020 + 0.297227i
\(636\) 8.17883e6 + 8.93899e6i 0.801767 + 0.876286i
\(637\) 1.33893e6 1.33893e6i 0.130740 0.130740i
\(638\) 9.26721e6 + 4.08180e6i 0.901358 + 0.397008i
\(639\) 8.20324e6 0.794755
\(640\) −4.40764e6 + 9.37800e6i −0.425359 + 0.905025i
\(641\) −6.66649e6 −0.640843 −0.320422 0.947275i \(-0.603825\pi\)
−0.320422 + 0.947275i \(0.603825\pi\)
\(642\) −5.26738e6 2.32005e6i −0.504379 0.222156i
\(643\) 5.50491e6 5.50491e6i 0.525077 0.525077i −0.394024 0.919100i \(-0.628917\pi\)
0.919100 + 0.394024i \(0.128917\pi\)
\(644\) 6.32206e6 + 6.90966e6i 0.600681 + 0.656511i
\(645\) −1.11096e7 + 1.38304e7i −1.05147 + 1.30899i
\(646\) 6.48327e6 2.51842e6i 0.611242 0.237437i
\(647\) 2.71049e6 0.254559 0.127279 0.991867i \(-0.459376\pi\)
0.127279 + 0.991867i \(0.459376\pi\)
\(648\) 680662. + 2.01256e6i 0.0636787 + 0.188283i
\(649\) 2.07085e7i 1.92991i
\(650\) −1.67842e6 2.51851e6i −0.155818 0.233809i
\(651\) −6.66223e6 + 6.66223e6i −0.616123 + 0.616123i
\(652\) −1.34478e7 597187.i −1.23889 0.0550163i
\(653\) −6.37346e6 + 6.37346e6i −0.584915 + 0.584915i −0.936250 0.351335i \(-0.885728\pi\)
0.351335 + 0.936250i \(0.385728\pi\)
\(654\) −1.32468e7 5.83461e6i −1.21106 0.533418i
\(655\) −9.82655e6 + 1.07203e6i −0.894948 + 0.0976343i
\(656\) −1.27353e7 1.13332e6i −1.15544 0.102824i
\(657\) 2.72480e6i 0.246275i
\(658\) −2.30085e6 + 5.22380e6i −0.207169 + 0.470351i
\(659\) 3.26786e6 + 3.26786e6i 0.293123 + 0.293123i 0.838313 0.545190i \(-0.183542\pi\)
−0.545190 + 0.838313i \(0.683542\pi\)
\(660\) 1.64790e6 + 2.55983e7i 0.147255 + 2.28744i
\(661\) 1.43758e7 1.43758e7i 1.27976 1.27976i 0.338956 0.940802i \(-0.389926\pi\)
0.940802 0.338956i \(-0.110074\pi\)
\(662\) −329477. + 127985.i −0.0292200 + 0.0113505i
\(663\) 7.49605e6 0.662291
\(664\) −9805.80 4849.32i −0.000863103 0.000426836i
\(665\) 3.03240e6 330820.i 0.265908 0.0290093i
\(666\) 2.44587e7 9.50098e6i 2.13672 0.830009i
\(667\) −8.73492e6 8.73492e6i −0.760229 0.760229i
\(668\) −4.52688e6 4.94763e6i −0.392517 0.428998i
\(669\) −5.17508e6 5.17508e6i −0.447046 0.447046i
\(670\) 2.39967e6 7.58985e6i 0.206521 0.653200i
\(671\) 2.93357e7 2.51530
\(672\) −3.12957e6 1.08120e7i −0.267339 0.923601i
\(673\) 6.12005e6i 0.520856i 0.965493 + 0.260428i \(0.0838637\pi\)
−0.965493 + 0.260428i \(0.916136\pi\)
\(674\) −7.85277e6 + 1.78288e7i −0.665845 + 1.51172i
\(675\) −7.36840e6 + 1.15448e7i −0.622463 + 0.975272i
\(676\) −8.07382e6 + 7.38723e6i −0.679536 + 0.621749i
\(677\) 1.37416e7 + 1.37416e7i 1.15230 + 1.15230i 0.986090 + 0.166211i \(0.0531534\pi\)
0.166211 + 0.986090i \(0.446847\pi\)
\(678\) 9.52439e6 + 2.45190e7i 0.795725 + 2.04846i
\(679\) 1.18255e7i 0.984344i
\(680\) 5.93693e6 1.62340e7i 0.492368 1.34633i
\(681\) 2.78283e7i 2.29943i
\(682\) 1.43035e7 5.55621e6i 1.17756 0.457423i
\(683\) 5.60418e6 + 5.60418e6i 0.459685 + 0.459685i 0.898552 0.438867i \(-0.144620\pi\)
−0.438867 + 0.898552i \(0.644620\pi\)
\(684\) −9.52603e6 423030.i −0.778523 0.0345725i
\(685\) 5.17865e6 6.44695e6i 0.421687 0.524962i
\(686\) 1.09367e7 + 4.81713e6i 0.887312 + 0.390821i
\(687\) 1.54100e7i 1.24569i
\(688\) −9.72398e6 + 8.13471e6i −0.783200 + 0.655196i
\(689\) −2.52904e6 −0.202959
\(690\) 9.43323e6 2.98361e7i 0.754288 2.38572i
\(691\) 9.26625e6 + 9.26625e6i 0.738259 + 0.738259i 0.972241 0.233982i \(-0.0751755\pi\)
−0.233982 + 0.972241i \(0.575176\pi\)
\(692\) −1.02384e7 454665.i −0.812769 0.0360933i
\(693\) −1.24151e7 1.24151e7i −0.982016 0.982016i
\(694\) 3.90882e6 + 1.00626e7i 0.308068 + 0.793070i
\(695\) −2.44743e6 2.24339e7i −0.192198 1.76174i
\(696\) 4.75653e6 + 1.40639e7i 0.372192 + 1.10048i
\(697\) 2.13281e7 1.66292
\(698\) −726140. 1.86933e6i −0.0564133 0.145227i
\(699\) −9.61439e6 + 9.61439e6i −0.744267 + 0.744267i
\(700\) 4.35809e6 6.20310e6i 0.336164 0.478480i
\(701\) 467627. + 467627.i 0.0359422 + 0.0359422i 0.724849 0.688907i \(-0.241909\pi\)
−0.688907 + 0.724849i \(0.741909\pi\)
\(702\) −3.88448e6 1.71094e6i −0.297502 0.131036i
\(703\) 8.06483e6i 0.615470i
\(704\) −2.43342e6 + 1.81696e7i −0.185048 + 1.38170i
\(705\) 1.89593e7 2.06836e6i 1.43664 0.156731i
\(706\) 3.42884e6 7.78476e6i 0.258902 0.587805i
\(707\) −4.06362e6 + 4.06362e6i −0.305748 + 0.305748i
\(708\) 2.24000e7 2.04951e7i 1.67944 1.53662i
\(709\) 3.66205e6 3.66205e6i 0.273595 0.273595i −0.556950 0.830546i \(-0.688029\pi\)
0.830546 + 0.556950i \(0.188029\pi\)
\(710\) 2.88899e6 + 5.56042e6i 0.215080 + 0.413963i
\(711\) 1.25556e7i 0.931460i
\(712\) −481829. + 162958.i −0.0356199 + 0.0120469i
\(713\) −1.87191e7 −1.37899
\(714\) 6.79874e6 + 1.75022e7i 0.499095 + 1.28484i
\(715\) −4.17434e6 3.35313e6i −0.305367 0.245293i
\(716\) −666679. + 1.50127e7i −0.0485998 + 1.09440i
\(717\) −3.27739e6 + 3.27739e6i −0.238084 + 0.238084i
\(718\) −8.59534e6 + 1.95147e7i −0.622232 + 1.41270i
\(719\) −4.81979e6 −0.347701 −0.173851 0.984772i \(-0.555621\pi\)
−0.173851 + 0.984772i \(0.555621\pi\)
\(720\) −1.64201e7 + 1.70872e7i −1.18044 + 1.22840i
\(721\) 9.81898e6 0.703442
\(722\) −4.46466e6 + 1.01365e7i −0.318746 + 0.723675i
\(723\) 3.09794e6 3.09794e6i 0.220408 0.220408i
\(724\) −2.56557e7 1.13931e6i −1.81902 0.0807787i
\(725\) −5.37968e6 + 8.42886e6i −0.380112 + 0.595558i
\(726\) 7.97627e6 + 2.05336e7i 0.561640 + 1.44585i
\(727\) 2.24891e7 1.57810 0.789051 0.614327i \(-0.210572\pi\)
0.789051 + 0.614327i \(0.210572\pi\)
\(728\) 2.10603e6 + 1.04151e6i 0.147277 + 0.0728340i
\(729\) 2.24387e7i 1.56379i
\(730\) 1.84696e6 959609.i 0.128277 0.0666480i
\(731\) 1.49543e7 1.49543e7i 1.03507 1.03507i
\(732\) 2.90334e7 + 3.17319e7i 2.00272 + 2.18886i
\(733\) −1.44776e7 + 1.44776e7i −0.995261 + 0.995261i −0.999989 0.00472794i \(-0.998495\pi\)
0.00472794 + 0.999989i \(0.498495\pi\)
\(734\) −3.69358e6 + 8.38582e6i −0.253051 + 0.574520i
\(735\) −1.71865e6 1.57537e7i −0.117346 1.07564i
\(736\) 1.07928e7 1.95861e7i 0.734413 1.33276i
\(737\) 1.40824e7i 0.955012i
\(738\) −2.67595e7 1.17864e7i −1.80858 0.796599i
\(739\) −2.42219e6 2.42219e6i −0.163153 0.163153i 0.620809 0.783962i \(-0.286804\pi\)
−0.783962 + 0.620809i \(0.786804\pi\)
\(740\) 1.50539e7 + 1.32329e7i 1.01057 + 0.888332i
\(741\) 2.23352e6 2.23352e6i 0.149432 0.149432i
\(742\) −2.29378e6 5.90496e6i −0.152947 0.393738i
\(743\) −7.10752e6 −0.472331 −0.236165 0.971713i \(-0.575891\pi\)
−0.236165 + 0.971713i \(0.575891\pi\)
\(744\) 2.01662e7 + 9.97293e6i 1.33565 + 0.660527i
\(745\) −603403. 5.53098e6i −0.0398306 0.365100i
\(746\) −9.19200e6 2.36633e7i −0.604732 1.55678i
\(747\) −17690.4 17690.4i −0.00115994 0.00115994i
\(748\) 1.35665e6 3.05499e7i 0.0886574 1.99644i
\(749\) 2.12792e6 + 2.12792e6i 0.138596 + 0.138596i
\(750\) −2.52296e7 2.24865e6i −1.63778 0.145972i
\(751\) −8.01849e6 −0.518791 −0.259396 0.965771i \(-0.583523\pi\)
−0.259396 + 0.965771i \(0.583523\pi\)
\(752\) 1.35761e7 + 1.20815e6i 0.875449 + 0.0779071i
\(753\) 4.80203e7i 3.08629i
\(754\) −2.83606e6 1.24916e6i −0.181672 0.0800184i
\(755\) 1.59294e7 + 1.27956e7i 1.01702 + 0.816947i
\(756\) 471677. 1.06215e7i 0.0300151 0.675898i
\(757\) −845385. 845385.i −0.0536185 0.0536185i 0.679789 0.733408i \(-0.262071\pi\)
−0.733408 + 0.679789i \(0.762071\pi\)
\(758\) 7.57192e6 2.94131e6i 0.478666 0.185938i
\(759\) 5.53588e7i 3.48805i
\(760\) −3.06810e6 6.60603e6i −0.192679 0.414865i
\(761\) 1.23445e7i