Properties

Label 43.7.h.a.3.14
Level 43
Weight 7
Character 43.3
Analytic conductor 9.892
Analytic rank 0
Dimension 252
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 43.h (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(9.89232559565\)
Analytic rank: \(0\)
Dimension: \(252\)
Relative dimension: \(21\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 3.14
Character \(\chi\) \(=\) 43.3
Dual form 43.7.h.a.29.14

$q$-expansion

\(f(q)\) \(=\) \(q+(2.66970 - 5.54370i) q^{2} +(-33.1314 - 2.48285i) q^{3} +(16.2981 + 20.4372i) q^{4} +(-16.0047 + 51.8861i) q^{5} +(-102.215 + 177.042i) q^{6} +(211.134 - 121.898i) q^{7} +(540.730 - 123.418i) q^{8} +(370.667 + 55.8691i) q^{9} +O(q^{10})\) \(q+(2.66970 - 5.54370i) q^{2} +(-33.1314 - 2.48285i) q^{3} +(16.2981 + 20.4372i) q^{4} +(-16.0047 + 51.8861i) q^{5} +(-102.215 + 177.042i) q^{6} +(211.134 - 121.898i) q^{7} +(540.730 - 123.418i) q^{8} +(370.667 + 55.8691i) q^{9} +(244.913 + 227.246i) q^{10} +(250.917 - 314.640i) q^{11} +(-489.236 - 717.578i) q^{12} +(1651.29 - 1532.17i) q^{13} +(-112.102 - 1495.90i) q^{14} +(659.085 - 1679.32i) q^{15} +(387.125 - 1696.11i) q^{16} +(5161.89 - 1592.23i) q^{17} +(1299.29 - 1905.71i) q^{18} +(-169.021 - 1121.38i) q^{19} +(-1321.25 + 518.553i) q^{20} +(-7297.83 + 3514.45i) q^{21} +(-1074.39 - 2231.00i) q^{22} +(72.1719 + 183.891i) q^{23} +(-18221.6 + 2746.46i) q^{24} +(10474.0 + 7141.03i) q^{25} +(-4085.44 - 13244.7i) q^{26} +(11471.3 + 2618.24i) q^{27} +(5932.35 + 2328.27i) q^{28} +(20778.9 - 1557.16i) q^{29} +(-7550.09 - 8137.06i) q^{30} +(2538.77 - 1730.90i) q^{31} +(19383.2 + 15457.6i) q^{32} +(-9094.44 + 9801.47i) q^{33} +(4953.86 - 32866.7i) q^{34} +(2945.68 + 12905.9i) q^{35} +(4899.36 + 8485.95i) q^{36} +(-3922.38 - 2264.59i) q^{37} +(-6667.84 - 2056.76i) q^{38} +(-58513.5 + 46663.0i) q^{39} +(-2250.56 + 30031.6i) q^{40} +(-42574.1 - 20502.6i) q^{41} +49839.5i q^{42} +(-44842.4 + 65654.6i) q^{43} +10519.8 q^{44} +(-8831.26 + 18338.3i) q^{45} +(1212.11 + 90.8354i) q^{46} +(-35826.9 - 44925.6i) q^{47} +(-17037.2 + 55233.2i) q^{48} +(-29106.1 + 50413.2i) q^{49} +(67550.1 - 39000.0i) q^{50} +(-174974. + 39936.7i) q^{51} +(58226.0 + 8776.16i) q^{52} +(-89105.7 - 82678.0i) q^{53} +(45139.5 - 56603.2i) q^{54} +(12309.6 + 18054.8i) q^{55} +(99122.1 - 91971.9i) q^{56} +(2815.68 + 37572.6i) q^{57} +(46841.0 - 119349. i) q^{58} +(32710.0 - 143312. i) q^{59} +(45062.4 - 13899.9i) q^{60} +(118117. - 173246. i) q^{61} +(-2817.84 - 18695.2i) q^{62} +(85070.9 - 33387.9i) q^{63} +(237756. - 114497. i) q^{64} +(53069.9 + 110201. i) q^{65} +(30056.9 + 76583.8i) q^{66} +(144364. - 21759.4i) q^{67} +(116670. + 79544.1i) q^{68} +(-1934.58 - 6271.76i) q^{69} +(79410.4 + 18124.9i) q^{70} +(-466218. - 182977. i) q^{71} +(207326. - 15536.9i) q^{72} +(362592. + 390781. i) q^{73} +(-23025.8 + 15698.7i) q^{74} +(-329287. - 262598. i) q^{75} +(20163.2 - 21730.7i) q^{76} +(14623.1 - 97017.7i) q^{77} +(102472. + 448958. i) q^{78} +(-3158.67 - 5470.98i) q^{79} +(81808.6 + 47232.2i) q^{80} +(-634686. - 195775. i) q^{81} +(-227320. + 181282. i) q^{82} +(44832.5 - 598249. i) q^{83} +(-190766. - 91868.1i) q^{84} +293314. i q^{85} +(244253. + 423871. i) q^{86} -692300. q^{87} +(96846.0 - 201103. i) q^{88} +(560834. + 42028.7i) q^{89} +(78085.1 + 97915.6i) q^{90} +(161874. - 524782. i) q^{91} +(-2581.95 + 4472.07i) q^{92} +(-88410.6 + 51043.9i) q^{93} +(-344701. + 78675.7i) q^{94} +(60889.3 + 9177.59i) q^{95} +(-603814. - 560258. i) q^{96} +(-549117. + 688571. i) q^{97} +(201771. + 295943. i) q^{98} +(110585. - 102608. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 252q - 14q^{2} - 11q^{3} + 1180q^{4} - 11q^{5} - 118q^{6} + 126q^{7} - 2254q^{8} - 8178q^{9} + O(q^{10}) \) \( 252q - 14q^{2} - 11q^{3} + 1180q^{4} - 11q^{5} - 118q^{6} + 126q^{7} - 2254q^{8} - 8178q^{9} + 967q^{10} + 4090q^{11} - 484q^{12} + 1527q^{13} + 7812q^{14} - 8923q^{15} - 13760q^{16} - 3655q^{17} + 5596q^{18} + 38605q^{19} + 26085q^{20} + 24873q^{21} - 25214q^{22} + 27991q^{23} - 20480q^{24} - 24146q^{25} - 34923q^{26} - 14q^{27} - 77634q^{28} - 112735q^{29} + 375072q^{30} + 290647q^{31} - 344064q^{32} - 152174q^{33} - 198311q^{34} - 182471q^{35} - 930891q^{36} + 282762q^{37} + 487342q^{38} + 857290q^{39} + 745459q^{40} + 27674q^{41} + 148802q^{43} - 1255832q^{44} - 191310q^{45} - 1344785q^{46} + 69166q^{47} - 871241q^{48} + 1786604q^{49} + 837705q^{50} - 182756q^{51} + 2906416q^{52} + 7779q^{53} + 487154q^{54} - 529592q^{55} - 2464007q^{56} - 767855q^{57} - 1523780q^{58} + 1531338q^{59} - 1858647q^{60} + 646957q^{61} - 448559q^{62} - 2007847q^{63} + 3937366q^{64} - 1473542q^{65} + 1513319q^{66} - 575523q^{67} + 2717157q^{68} + 967041q^{69} + 4624473q^{70} - 2149319q^{71} - 9986371q^{72} - 514565q^{73} - 882972q^{74} - 6655138q^{75} + 1152658q^{76} - 341803q^{77} + 6322388q^{78} - 2476742q^{79} + 10750038q^{80} + 4308941q^{81} + 5079172q^{82} + 2318609q^{83} + 5578407q^{84} + 585292q^{86} - 1990710q^{87} - 2864890q^{88} - 4561993q^{89} - 17681545q^{90} - 4648506q^{91} - 1991714q^{92} - 8868294q^{93} - 10200218q^{94} + 10091737q^{95} + 6250318q^{96} - 1676750q^{97} + 7512700q^{98} + 18452884q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{42}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.66970 5.54370i 0.333713 0.692962i −0.664826 0.746998i \(-0.731494\pi\)
0.998539 + 0.0540362i \(0.0172086\pi\)
\(3\) −33.1314 2.48285i −1.22709 0.0919576i −0.554633 0.832095i \(-0.687141\pi\)
−0.672456 + 0.740137i \(0.734760\pi\)
\(4\) 16.2981 + 20.4372i 0.254658 + 0.319331i
\(5\) −16.0047 + 51.8861i −0.128038 + 0.415089i −0.996781 0.0801745i \(-0.974452\pi\)
0.868743 + 0.495263i \(0.164928\pi\)
\(6\) −102.215 + 177.042i −0.473218 + 0.819638i
\(7\) 211.134 121.898i 0.615552 0.355389i −0.159583 0.987184i \(-0.551015\pi\)
0.775135 + 0.631795i \(0.217682\pi\)
\(8\) 540.730 123.418i 1.05611 0.241051i
\(9\) 370.667 + 55.8691i 0.508460 + 0.0766380i
\(10\) 244.913 + 227.246i 0.244913 + 0.227246i
\(11\) 250.917 314.640i 0.188518 0.236394i −0.678587 0.734520i \(-0.737407\pi\)
0.867104 + 0.498127i \(0.165979\pi\)
\(12\) −489.236 717.578i −0.283123 0.415265i
\(13\) 1651.29 1532.17i 0.751609 0.697391i −0.208187 0.978089i \(-0.566756\pi\)
0.959796 + 0.280698i \(0.0905658\pi\)
\(14\) −112.102 1495.90i −0.0408535 0.545152i
\(15\) 659.085 1679.32i 0.195284 0.497577i
\(16\) 387.125 1696.11i 0.0945131 0.414089i
\(17\) 5161.89 1592.23i 1.05066 0.324086i 0.279113 0.960258i \(-0.409960\pi\)
0.771547 + 0.636173i \(0.219483\pi\)
\(18\) 1299.29 1905.71i 0.222787 0.326768i
\(19\) −169.021 1121.38i −0.0246423 0.163491i 0.973125 0.230277i \(-0.0739634\pi\)
−0.997767 + 0.0667868i \(0.978725\pi\)
\(20\) −1321.25 + 518.553i −0.165157 + 0.0648192i
\(21\) −7297.83 + 3514.45i −0.788017 + 0.379489i
\(22\) −1074.39 2231.00i −0.100901 0.209523i
\(23\) 72.1719 + 183.891i 0.00593178 + 0.0151139i 0.933809 0.357772i \(-0.116464\pi\)
−0.927877 + 0.372886i \(0.878368\pi\)
\(24\) −18221.6 + 2746.46i −1.31811 + 0.198673i
\(25\) 10474.0 + 7141.03i 0.670334 + 0.457026i
\(26\) −4085.44 13244.7i −0.232444 0.753565i
\(27\) 11471.3 + 2618.24i 0.582800 + 0.133020i
\(28\) 5932.35 + 2328.27i 0.270242 + 0.106062i
\(29\) 20778.9 1557.16i 0.851978 0.0638469i 0.358421 0.933560i \(-0.383315\pi\)
0.493557 + 0.869713i \(0.335696\pi\)
\(30\) −7550.09 8137.06i −0.279633 0.301372i
\(31\) 2538.77 1730.90i 0.0852193 0.0581016i −0.519961 0.854190i \(-0.674053\pi\)
0.605180 + 0.796089i \(0.293101\pi\)
\(32\) 19383.2 + 15457.6i 0.591529 + 0.471729i
\(33\) −9094.44 + 9801.47i −0.253066 + 0.272740i
\(34\) 4953.86 32866.7i 0.126040 0.836219i
\(35\) 2945.68 + 12905.9i 0.0687040 + 0.301012i
\(36\) 4899.36 + 8485.95i 0.105010 + 0.181883i
\(37\) −3922.38 2264.59i −0.0774362 0.0447078i 0.460782 0.887513i \(-0.347569\pi\)
−0.538218 + 0.842806i \(0.680902\pi\)
\(38\) −6667.84 2056.76i −0.121516 0.0374828i
\(39\) −58513.5 + 46663.0i −0.986422 + 0.786645i
\(40\) −2250.56 + 30031.6i −0.0351650 + 0.469244i
\(41\) −42574.1 20502.6i −0.617723 0.297480i 0.0987308 0.995114i \(-0.468522\pi\)
−0.716454 + 0.697634i \(0.754236\pi\)
\(42\) 49839.5i 0.672706i
\(43\) −44842.4 + 65654.6i −0.564005 + 0.825771i
\(44\) 10519.8 0.123495
\(45\) −8831.26 + 18338.3i −0.0969137 + 0.201243i
\(46\) 1212.11 + 90.8354i 0.0124529 + 0.000933215i
\(47\) −35826.9 44925.6i −0.345077 0.432713i 0.578761 0.815498i \(-0.303537\pi\)
−0.923838 + 0.382785i \(0.874965\pi\)
\(48\) −17037.2 + 55233.2i −0.154055 + 0.499432i
\(49\) −29106.1 + 50413.2i −0.247397 + 0.428505i
\(50\) 67550.1 39000.0i 0.540401 0.312000i
\(51\) −174974. + 39936.7i −1.31905 + 0.301066i
\(52\) 58226.0 + 8776.16i 0.414102 + 0.0624158i
\(53\) −89105.7 82678.0i −0.598519 0.555345i 0.321653 0.946857i \(-0.395761\pi\)
−0.920173 + 0.391513i \(0.871952\pi\)
\(54\) 45139.5 56603.2i 0.286666 0.359468i
\(55\) 12309.6 + 18054.8i 0.0739870 + 0.108519i
\(56\) 99122.1 91971.9i 0.564425 0.523710i
\(57\) 2815.68 + 37572.6i 0.0152040 + 0.202884i
\(58\) 46841.0 119349.i 0.240073 0.611695i
\(59\) 32710.0 143312.i 0.159267 0.697793i −0.830727 0.556680i \(-0.812075\pi\)
0.989994 0.141113i \(-0.0450680\pi\)
\(60\) 45062.4 13899.9i 0.208622 0.0643515i
\(61\) 118117. 173246.i 0.520382 0.763260i −0.472632 0.881260i \(-0.656696\pi\)
0.993014 + 0.118000i \(0.0376483\pi\)
\(62\) −2817.84 18695.2i −0.0118234 0.0784430i
\(63\) 85070.9 33387.9i 0.340220 0.133526i
\(64\) 237756. 114497.i 0.906967 0.436772i
\(65\) 53069.9 + 110201.i 0.193245 + 0.401277i
\(66\) 30056.9 + 76583.8i 0.104547 + 0.266382i
\(67\) 144364. 21759.4i 0.479992 0.0723472i 0.0954103 0.995438i \(-0.469584\pi\)
0.384582 + 0.923091i \(0.374346\pi\)
\(68\) 116670. + 79544.1i 0.371049 + 0.252977i
\(69\) −1934.58 6271.76i −0.00588898 0.0190916i
\(70\) 79410.4 + 18124.9i 0.231517 + 0.0528423i
\(71\) −466218. 182977.i −1.30261 0.511236i −0.390280 0.920696i \(-0.627622\pi\)
−0.912328 + 0.409461i \(0.865717\pi\)
\(72\) 207326. 15536.9i 0.555464 0.0416263i
\(73\) 362592. + 390781.i 0.932072 + 1.00453i 0.999977 + 0.00684275i \(0.00217813\pi\)
−0.0679047 + 0.997692i \(0.521631\pi\)
\(74\) −23025.8 + 15698.7i −0.0568223 + 0.0387408i
\(75\) −329287. 262598.i −0.780532 0.622453i
\(76\) 20163.2 21730.7i 0.0459323 0.0495032i
\(77\) 14623.1 97017.7i 0.0320307 0.212510i
\(78\) 102472. + 448958.i 0.215933 + 0.946066i
\(79\) −3158.67 5470.98i −0.00640653 0.0110964i 0.862804 0.505538i \(-0.168706\pi\)
−0.869211 + 0.494442i \(0.835373\pi\)
\(80\) 81808.6 + 47232.2i 0.159782 + 0.0922504i
\(81\) −634686. 195775.i −1.19427 0.368385i
\(82\) −227320. + 181282.i −0.412284 + 0.328786i
\(83\) 44832.5 598249.i 0.0784078 1.04628i −0.809760 0.586761i \(-0.800403\pi\)
0.888168 0.459518i \(-0.151978\pi\)
\(84\) −190766. 91868.1i −0.321857 0.154998i
\(85\) 293314.i 0.477612i
\(86\) 244253. + 423871.i 0.384012 + 0.666405i
\(87\) −692300. −1.05132
\(88\) 96846.0 201103.i 0.142113 0.295101i
\(89\) 560834. + 42028.7i 0.795544 + 0.0596178i 0.466299 0.884627i \(-0.345587\pi\)
0.329244 + 0.944245i \(0.393206\pi\)
\(90\) 78085.1 + 97915.6i 0.107113 + 0.134315i
\(91\) 161874. 524782.i 0.214809 0.696394i
\(92\) −2581.95 + 4472.07i −0.00331577 + 0.00574308i
\(93\) −88410.6 + 51043.9i −0.109915 + 0.0634592i
\(94\) −344701. + 78675.7i −0.415010 + 0.0947234i
\(95\) 60889.3 + 9177.59i 0.0710183 + 0.0107043i
\(96\) −603814. 560258.i −0.682480 0.633249i
\(97\) −549117. + 688571.i −0.601658 + 0.754456i −0.985635 0.168887i \(-0.945983\pi\)
0.383977 + 0.923343i \(0.374554\pi\)
\(98\) 201771. + 295943.i 0.214378 + 0.314435i
\(99\) 110585. 102608.i 0.113970 0.105749i
\(100\) 24763.3 + 330443.i 0.0247633 + 0.330443i
\(101\) −85711.7 + 218390.i −0.0831909 + 0.211967i −0.966416 0.256982i \(-0.917272\pi\)
0.883225 + 0.468949i \(0.155367\pi\)
\(102\) −245732. + 1.07662e6i −0.231559 + 1.01452i
\(103\) −295107. + 91028.6i −0.270065 + 0.0833040i −0.426830 0.904332i \(-0.640370\pi\)
0.156765 + 0.987636i \(0.449894\pi\)
\(104\) 703802. 1.03229e6i 0.625677 0.917700i
\(105\) −65551.2 434904.i −0.0566256 0.375686i
\(106\) −696228. + 273249.i −0.584566 + 0.229425i
\(107\) −1.61915e6 + 779743.i −1.32171 + 0.636503i −0.955764 0.294133i \(-0.904969\pi\)
−0.365947 + 0.930636i \(0.619255\pi\)
\(108\) 133450. + 277112.i 0.105937 + 0.219981i
\(109\) 784414. + 1.99866e6i 0.605712 + 1.54333i 0.823490 + 0.567330i \(0.192024\pi\)
−0.217778 + 0.975998i \(0.569881\pi\)
\(110\) 132953. 20039.5i 0.0998899 0.0150560i
\(111\) 124331. + 84767.6i 0.0909099 + 0.0619813i
\(112\) −125017. 405296.i −0.0889849 0.288482i
\(113\) 1.12382e6 + 256504.i 0.778861 + 0.177770i 0.593428 0.804887i \(-0.297774\pi\)
0.185433 + 0.982657i \(0.440631\pi\)
\(114\) 215808. + 84698.5i 0.145664 + 0.0571691i
\(115\) −10696.5 + 801.591i −0.00703311 + 0.000527059i
\(116\) 370480. + 399283.i 0.237351 + 0.255804i
\(117\) 697678. 475669.i 0.435610 0.296994i
\(118\) −707152. 563935.i −0.430394 0.343228i
\(119\) 895761. 965401.i 0.531559 0.572884i
\(120\) 149128. 989402.i 0.0863011 0.572571i
\(121\) 358170. + 1.56925e6i 0.202178 + 0.885799i
\(122\) −645084. 1.11732e6i −0.355252 0.615315i
\(123\) 1.35963e6 + 784985.i 0.730646 + 0.421838i
\(124\) 76751.9 + 23674.8i 0.0402554 + 0.0124171i
\(125\) −1.20147e6 + 958140.i −0.615152 + 0.490568i
\(126\) 42021.9 560743.i 0.0210070 0.280319i
\(127\) −2.08515e6 1.00415e6i −1.01795 0.490218i −0.150957 0.988540i \(-0.548235\pi\)
−0.866992 + 0.498322i \(0.833950\pi\)
\(128\) 37026.4i 0.0176556i
\(129\) 1.64870e6 2.06389e6i 0.768021 0.961430i
\(130\) 752600. 0.342558
\(131\) 1.36258e6 2.82943e6i 0.606105 1.25859i −0.341720 0.939802i \(-0.611010\pi\)
0.947826 0.318789i \(-0.103276\pi\)
\(132\) −348536. 26119.2i −0.151540 0.0113563i
\(133\) −172381. 216159.i −0.0732714 0.0918794i
\(134\) 264782. 858401.i 0.110046 0.356760i
\(135\) −319445. + 553294.i −0.129836 + 0.224882i
\(136\) 2.59468e6 1.49804e6i 1.03149 0.595533i
\(137\) −132666. + 30280.1i −0.0515938 + 0.0117759i −0.248240 0.968699i \(-0.579852\pi\)
0.196646 + 0.980475i \(0.436995\pi\)
\(138\) −39933.5 6019.01i −0.0151950 0.00229027i
\(139\) −2.35221e6 2.18253e6i −0.875854 0.812673i 0.107532 0.994202i \(-0.465705\pi\)
−0.983386 + 0.181528i \(0.941896\pi\)
\(140\) −215751. + 270543.i −0.0786264 + 0.0985943i
\(141\) 1.07545e6 + 1.57740e6i 0.383649 + 0.562710i
\(142\) −2.25903e6 + 2.09607e6i −0.788964 + 0.732052i
\(143\) −67746.0 904008.i −0.0231673 0.309146i
\(144\) 238255. 607063.i 0.0797910 0.203304i
\(145\) −251766. + 1.10306e6i −0.0825834 + 0.361821i
\(146\) 3.13438e6 966829.i 1.00715 0.310664i
\(147\) 1.08949e6 1.59799e6i 0.342983 0.503063i
\(148\) −17645.6 117071.i −0.00544315 0.0361130i
\(149\) 1.58366e6 621540.i 0.478743 0.187893i −0.113684 0.993517i \(-0.536265\pi\)
0.592427 + 0.805624i \(0.298170\pi\)
\(150\) −2.33486e6 + 1.12441e6i −0.691810 + 0.333158i
\(151\) 788221. + 1.63676e6i 0.228938 + 0.475394i 0.983517 0.180815i \(-0.0578734\pi\)
−0.754579 + 0.656209i \(0.772159\pi\)
\(152\) −229794. 585505.i −0.0654346 0.166725i
\(153\) 2.00230e6 301798.i 0.559055 0.0842640i
\(154\) −498797. 340074.i −0.136572 0.0931133i
\(155\) 49177.5 + 159430.i 0.0132060 + 0.0428128i
\(156\) −1.90732e6 435333.i −0.502400 0.114670i
\(157\) −3.23299e6 1.26885e6i −0.835420 0.327878i −0.0912164 0.995831i \(-0.529075\pi\)
−0.744203 + 0.667953i \(0.767171\pi\)
\(158\) −38762.1 + 2904.82i −0.00982735 + 0.000736458i
\(159\) 2.74692e6 + 2.96048e6i 0.683368 + 0.736496i
\(160\) −1.11226e6 + 758325.i −0.271548 + 0.185138i
\(161\) 37654.0 + 30028.1i 0.00902264 + 0.00719531i
\(162\) −2.77974e6 + 2.99584e6i −0.653821 + 0.704651i
\(163\) −818595. + 5.43102e6i −0.189019 + 1.25406i 0.670094 + 0.742276i \(0.266254\pi\)
−0.859114 + 0.511785i \(0.828984\pi\)
\(164\) −274862. 1.20425e6i −0.0623136 0.273014i
\(165\) −363006. 628745.i −0.0808094 0.139966i
\(166\) −3.19682e6 1.84568e6i −0.698866 0.403490i
\(167\) −105478. 32535.5i −0.0226470 0.00698568i 0.283411 0.958999i \(-0.408534\pi\)
−0.306058 + 0.952013i \(0.599010\pi\)
\(168\) −3.51241e6 + 2.80105e6i −0.740759 + 0.590736i
\(169\) 18494.0 246785.i 0.00383151 0.0511280i
\(170\) 1.62604e6 + 783061.i 0.330967 + 0.159385i
\(171\) 425103.i 0.0850169i
\(172\) −2.07264e6 + 153593.i −0.407323 + 0.0301847i
\(173\) 7.33488e6 1.41662 0.708312 0.705900i \(-0.249457\pi\)
0.708312 + 0.705900i \(0.249457\pi\)
\(174\) −1.84823e6 + 3.83790e6i −0.350840 + 0.728527i
\(175\) 3.08189e6 + 230956.i 0.575047 + 0.0430938i
\(176\) −436527. 547387.i −0.0800706 0.100405i
\(177\) −1.43955e6 + 4.66691e6i −0.259602 + 0.841608i
\(178\) 1.73025e6 2.99689e6i 0.306796 0.531386i
\(179\) 9.19205e6 5.30703e6i 1.60270 0.925321i 0.611760 0.791044i \(-0.290462\pi\)
0.990944 0.134277i \(-0.0428713\pi\)
\(180\) −518716. + 118393.i −0.0889430 + 0.0203007i
\(181\) 3.27902e6 + 494233.i 0.552979 + 0.0833482i 0.419587 0.907715i \(-0.362175\pi\)
0.133392 + 0.991063i \(0.457413\pi\)
\(182\) −2.47708e6 2.29839e6i −0.410890 0.381250i
\(183\) −4.34352e6 + 5.44660e6i −0.708742 + 0.888735i
\(184\) 61721.0 + 90528.1i 0.00990785 + 0.0145321i
\(185\) 180277. 167273.i 0.0284725 0.0264186i
\(186\) 46941.7 + 626393.i 0.00729491 + 0.0973438i
\(187\) 794226. 2.02366e6i 0.121456 0.309465i
\(188\) 334240. 1.46440e6i 0.0503020 0.220387i
\(189\) 2.74113e6 845527.i 0.406017 0.125240i
\(190\) 213434. 313050.i 0.0311174 0.0456408i
\(191\) 373625. + 2.47884e6i 0.0536211 + 0.355753i 0.999511 + 0.0312654i \(0.00995372\pi\)
−0.945890 + 0.324487i \(0.894808\pi\)
\(192\) −8.16146e6 + 3.20314e6i −1.15309 + 0.452556i
\(193\) −6.45013e6 + 3.10622e6i −0.897215 + 0.432076i −0.824882 0.565305i \(-0.808759\pi\)
−0.0723326 + 0.997381i \(0.523044\pi\)
\(194\) 2.35125e6 + 4.88242e6i 0.322028 + 0.668698i
\(195\) −1.48467e6 3.78287e6i −0.200228 0.510173i
\(196\) −1.50468e6 + 226793.i −0.199836 + 0.0301205i
\(197\) −9.28792e6 6.33240e6i −1.21484 0.828266i −0.225553 0.974231i \(-0.572419\pi\)
−0.989290 + 0.145965i \(0.953371\pi\)
\(198\) −273599. 886985.i −0.0352467 0.114267i
\(199\) −9.43143e6 2.15266e6i −1.19679 0.273160i −0.422721 0.906260i \(-0.638925\pi\)
−0.774070 + 0.633100i \(0.781782\pi\)
\(200\) 6.54492e6 + 2.56869e6i 0.818114 + 0.321086i
\(201\) −4.83700e6 + 362483.i −0.595646 + 0.0446375i
\(202\) 981862. + 1.05820e6i 0.119123 + 0.128384i
\(203\) 4.19732e6 2.86168e6i 0.501746 0.342085i
\(204\) −3.66794e6 2.92508e6i −0.432047 0.344546i
\(205\) 1.74519e6 1.88087e6i 0.202573 0.218321i
\(206\) −283214. + 1.87900e6i −0.0323977 + 0.214944i
\(207\) 16477.9 + 72194.6i 0.00185777 + 0.00813942i
\(208\) −1.95947e6 3.39390e6i −0.217745 0.377146i
\(209\) −395242. 228193.i −0.0432937 0.0249956i
\(210\) −2.58598e6 797668.i −0.279233 0.0861320i
\(211\) −7.00409e6 + 5.58557e6i −0.745597 + 0.594594i −0.920844 0.389931i \(-0.872499\pi\)
0.175247 + 0.984524i \(0.443928\pi\)
\(212\) 237451. 3.16856e6i 0.0249211 0.332548i
\(213\) 1.49921e7 + 7.21983e6i 1.55140 + 0.747116i
\(214\) 1.10578e7i 1.12830i
\(215\) −2.68887e6 3.37748e6i −0.270554 0.339842i
\(216\) 6.52598e6 0.647567
\(217\) 325027. 674925.i 0.0318083 0.0660505i
\(218\) 1.31741e7 + 987262.i 1.27160 + 0.0952934i
\(219\) −1.10429e7 1.38474e7i −1.05136 1.31836i
\(220\) −168367. + 545833.i −0.0158121 + 0.0512615i
\(221\) 6.08419e6 1.05381e7i 0.563671 0.976307i
\(222\) 801853. 462950.i 0.0732885 0.0423131i
\(223\) 9.20356e6 2.10065e6i 0.829929 0.189426i 0.213607 0.976920i \(-0.431479\pi\)
0.616323 + 0.787494i \(0.288622\pi\)
\(224\) 5.97672e6 + 900846.i 0.531764 + 0.0801505i
\(225\) 3.48339e6 + 3.23212e6i 0.305812 + 0.283752i
\(226\) 4.42223e6 5.54530e6i 0.383104 0.480397i
\(227\) 1.66193e6 + 2.43760e6i 0.142081 + 0.208394i 0.890683 0.454626i \(-0.150227\pi\)
−0.748602 + 0.663020i \(0.769275\pi\)
\(228\) −721988. + 669907.i −0.0609152 + 0.0565210i
\(229\) 73598.1 + 982098.i 0.00612858 + 0.0817802i 0.999429 0.0337771i \(-0.0107536\pi\)
−0.993301 + 0.115557i \(0.963135\pi\)
\(230\) −24112.7 + 61438.1i −0.00198181 + 0.00504957i
\(231\) −725363. + 3.17802e6i −0.0588464 + 0.257823i
\(232\) 1.10436e7 3.40649e6i 0.884394 0.272800i
\(233\) −2.78422e6 + 4.08370e6i −0.220108 + 0.322839i −0.920371 0.391046i \(-0.872113\pi\)
0.700263 + 0.713885i \(0.253066\pi\)
\(234\) −774370. 5.13761e6i −0.0604367 0.400972i
\(235\) 2.90441e6 1.13990e6i 0.223797 0.0878340i
\(236\) 3.46200e6 1.66721e6i 0.263385 0.126840i
\(237\) 91067.5 + 189104.i 0.00684098 + 0.0142054i
\(238\) −2.96047e6 7.54316e6i −0.219599 0.559529i
\(239\) −5.25797e6 + 792511.i −0.385145 + 0.0580512i −0.338761 0.940872i \(-0.610008\pi\)
−0.0463838 + 0.998924i \(0.514770\pi\)
\(240\) −2.59316e6 1.76799e6i −0.187584 0.127893i
\(241\) −7.41698e6 2.40452e7i −0.529878 1.71782i −0.683737 0.729729i \(-0.739646\pi\)
0.153859 0.988093i \(-0.450830\pi\)
\(242\) 9.65564e6 + 2.20384e6i 0.681294 + 0.155501i
\(243\) 1.25573e7 + 4.92837e6i 0.875139 + 0.343467i
\(244\) 5.46573e6 409600.i 0.376252 0.0281962i
\(245\) −2.14991e6 2.31705e6i −0.146191 0.157557i
\(246\) 7.98154e6 5.44172e6i 0.536144 0.365537i
\(247\) −1.99725e6 1.59275e6i −0.132538 0.105696i
\(248\) 1.15916e6 1.24928e6i 0.0759958 0.0819040i
\(249\) −2.97073e6 + 1.97095e7i −0.192427 + 1.27667i
\(250\) 2.10407e6 + 9.21853e6i 0.134660 + 0.589986i
\(251\) −1.38333e7 2.39600e7i −0.874793 1.51519i −0.856983 0.515345i \(-0.827664\pi\)
−0.0178105 0.999841i \(-0.505670\pi\)
\(252\) 2.06885e6 + 1.19445e6i 0.129279 + 0.0746391i
\(253\) 75968.7 + 23433.2i 0.00469108 + 0.00144701i
\(254\) −1.11335e7 + 8.87864e6i −0.679405 + 0.541808i
\(255\) 728255. 9.71789e6i 0.0439201 0.586073i
\(256\) 1.50111e7 + 7.22897e6i 0.894732 + 0.430880i
\(257\) 1.99535e7i 1.17549i 0.809046 + 0.587745i \(0.199984\pi\)
−0.809046 + 0.587745i \(0.800016\pi\)
\(258\) −7.04004e6 1.46499e7i −0.409936 0.853051i
\(259\) −1.10420e6 −0.0635547
\(260\) −1.38725e6 + 2.88066e6i −0.0789288 + 0.163897i
\(261\) 7.78905e6 + 583708.i 0.438089 + 0.0328303i
\(262\) −1.20478e7 1.51075e7i −0.669890 0.840016i
\(263\) −7.78467e6 + 2.52373e7i −0.427930 + 1.38732i 0.443270 + 0.896388i \(0.353818\pi\)
−0.871200 + 0.490927i \(0.836658\pi\)
\(264\) −3.70795e6 + 6.42236e6i −0.201522 + 0.349046i
\(265\) 5.71596e6 3.30011e6i 0.307151 0.177333i
\(266\) −1.65852e6 + 378547.i −0.0881205 + 0.0201129i
\(267\) −1.84769e7 2.78494e6i −0.970721 0.146313i
\(268\) 2.79756e6 + 2.59575e6i 0.145336 + 0.134853i
\(269\) −1.98818e7 + 2.49310e7i −1.02141 + 1.28081i −0.0622120 + 0.998063i \(0.519815\pi\)
−0.959196 + 0.282742i \(0.908756\pi\)
\(270\) 2.21447e6 + 3.24803e6i 0.112507 + 0.165017i
\(271\) −2.52220e7 + 2.34026e7i −1.26728 + 1.17586i −0.291627 + 0.956532i \(0.594197\pi\)
−0.975651 + 0.219330i \(0.929613\pi\)
\(272\) −702298. 9.37152e6i −0.0348991 0.465697i
\(273\) −6.66607e6 + 1.69849e7i −0.327629 + 0.834784i
\(274\) −186315. + 816297.i −0.00905722 + 0.0396823i
\(275\) 4.87495e6 1.50372e6i 0.234408 0.0723052i
\(276\) 96647.0 141755.i 0.00459686 0.00674236i
\(277\) 4.63957e6 + 3.07816e7i 0.218292 + 1.44828i 0.782504 + 0.622645i \(0.213942\pi\)
−0.564212 + 0.825630i \(0.690820\pi\)
\(278\) −1.83790e7 + 7.21322e6i −0.855435 + 0.335734i
\(279\) 1.03774e6 499750.i 0.0477834 0.0230113i
\(280\) 3.18564e6 + 6.61505e6i 0.145118 + 0.301341i
\(281\) −9.87680e6 2.51657e7i −0.445141 1.13420i −0.960760 0.277382i \(-0.910533\pi\)
0.515619 0.856818i \(-0.327562\pi\)
\(282\) 1.16158e7 1.75079e6i 0.517965 0.0780707i
\(283\) −9.97328e6 6.79967e6i −0.440026 0.300005i 0.322968 0.946410i \(-0.395319\pi\)
−0.762994 + 0.646405i \(0.776272\pi\)
\(284\) −3.85893e6 1.25103e7i −0.168466 0.546153i
\(285\) −1.99456e6 455246.i −0.0861614 0.0196658i
\(286\) −5.19241e6 2.03787e6i −0.221958 0.0871120i
\(287\) −1.14881e7 + 860913.i −0.485962 + 0.0364178i
\(288\) 6.32112e6 + 6.81255e6i 0.264616 + 0.285189i
\(289\) 4.16652e6 2.84069e6i 0.172616 0.117687i
\(290\) 5.44288e6 + 4.34055e6i 0.223169 + 0.177972i
\(291\) 1.99026e7 2.14499e7i 0.807666 0.870457i
\(292\) −2.07690e6 + 1.37793e7i −0.0834194 + 0.553452i
\(293\) −2.22497e6 9.74823e6i −0.0884547 0.387546i 0.911250 0.411854i \(-0.135119\pi\)
−0.999705 + 0.0243087i \(0.992262\pi\)
\(294\) −5.95016e6 1.03060e7i −0.234146 0.405553i
\(295\) 6.91238e6 + 3.99087e6i 0.269254 + 0.155454i
\(296\) −2.40044e6 740437.i −0.0925582 0.0285504i
\(297\) 3.70213e6 2.95235e6i 0.141313 0.112694i
\(298\) 782268. 1.04386e7i 0.0295602 0.394453i
\(299\) 400929. + 193077.i 0.0149987 + 0.00722299i
\(300\) 1.10095e7i 0.407761i
\(301\) −1.46457e6 + 1.93281e7i −0.0537046 + 0.708746i
\(302\) 1.11780e7 0.405830
\(303\) 3.38198e6 7.02275e6i 0.121575 0.252452i
\(304\) −1.96742e6 147438.i −0.0700287 0.00524792i
\(305\) 7.09861e6 + 8.90137e6i 0.250192 + 0.313731i
\(306\) 3.67247e6 1.19059e7i 0.128172 0.415524i
\(307\) 2.05872e7 3.56580e7i 0.711510 1.23237i −0.252780 0.967524i \(-0.581345\pi\)
0.964290 0.264848i \(-0.0853219\pi\)
\(308\) 2.22109e6 1.28235e6i 0.0760177 0.0438889i
\(309\) 1.00033e7 2.28319e6i 0.339054 0.0773869i
\(310\) 1.01512e6 + 153004.i 0.0340747 + 0.00513593i
\(311\) −1.73798e7 1.61261e7i −0.577781 0.536102i 0.336237 0.941778i \(-0.390846\pi\)
−0.914017 + 0.405676i \(0.867036\pi\)
\(312\) −2.58810e7 + 3.24537e7i −0.852151 + 1.06856i
\(313\) 3.20251e7 + 4.69722e7i 1.04438 + 1.53182i 0.832112 + 0.554607i \(0.187131\pi\)
0.212265 + 0.977212i \(0.431916\pi\)
\(314\) −1.56652e7 + 1.45352e7i −0.505997 + 0.469497i
\(315\) 370828. + 4.94836e6i 0.0118643 + 0.158318i
\(316\) 60331.0 153721.i 0.00191196 0.00487160i
\(317\) −3.24206e6 + 1.42044e7i −0.101775 + 0.445907i 0.898205 + 0.439578i \(0.144872\pi\)
−0.999980 + 0.00632951i \(0.997985\pi\)
\(318\) 2.37454e7 7.32450e6i 0.738412 0.227770i
\(319\) 4.72383e6 6.92859e6i 0.145520 0.213438i
\(320\) 2.13559e6 + 1.41687e7i 0.0651731 + 0.432395i
\(321\) 5.55808e7 2.18139e7i 1.68039 0.659504i
\(322\) 266991. 128576.i 0.00799705 0.00385118i
\(323\) −2.65797e6 5.51933e6i −0.0788756 0.163787i
\(324\) −6.34309e6 1.61619e7i −0.186494 0.475180i
\(325\) 2.82368e7 4.25601e6i 0.822555 0.123980i
\(326\) 2.79225e7 + 1.90373e7i 0.805938 + 0.549479i
\(327\) −2.10264e7 6.81658e7i −0.601341 1.94950i
\(328\) −2.55515e7 5.83196e6i −0.724093 0.165270i
\(329\) −1.30406e7 5.11808e6i −0.366194 0.143721i
\(330\) −4.45469e6 + 333833.i −0.123958 + 0.00928939i
\(331\) 1.78559e7 + 1.92441e7i 0.492377 + 0.530656i 0.929538 0.368727i \(-0.120206\pi\)
−0.437161 + 0.899383i \(0.644016\pi\)
\(332\) 1.29572e7 8.83407e6i 0.354076 0.241405i
\(333\) −1.32738e6 1.05855e6i −0.0359469 0.0286667i
\(334\) −461961. + 497876.i −0.0123984 + 0.0133623i
\(335\) −1.18150e6 + 7.83874e6i −0.0314267 + 0.208503i
\(336\) 3.13571e6 + 1.37384e7i 0.0826643 + 0.362176i
\(337\) −9.13150e6 1.58162e7i −0.238590 0.413250i 0.721720 0.692185i \(-0.243352\pi\)
−0.960310 + 0.278935i \(0.910019\pi\)
\(338\) −1.31873e6 761368.i −0.0341511 0.0197172i
\(339\) −3.65967e7 1.12886e7i −0.939384 0.289762i
\(340\) −5.99450e6 + 4.78046e6i −0.152516 + 0.121628i
\(341\) 92408.9 1.23311e6i 0.00233051 0.0310985i
\(342\) −2.35664e6 1.13490e6i −0.0589135 0.0283712i
\(343\) 4.28744e7i 1.06247i
\(344\) −1.61447e7 + 4.10357e7i −0.396601 + 1.00806i
\(345\) 356380. 0.00867872
\(346\) 1.95819e7 4.06623e7i 0.472746 0.981666i
\(347\) −5.63351e7 4.22174e6i −1.34831 0.101042i −0.619091 0.785319i \(-0.712499\pi\)
−0.729222 + 0.684277i \(0.760118\pi\)
\(348\) −1.12832e7 1.41486e7i −0.267728 0.335720i
\(349\) 2.97103e6 9.63184e6i 0.0698925 0.226586i −0.913887 0.405969i \(-0.866934\pi\)
0.983779 + 0.179383i \(0.0574102\pi\)
\(350\) 9.50809e6 1.64685e7i 0.221763 0.384105i
\(351\) 2.29539e7 1.32524e7i 0.530805 0.306460i
\(352\) 9.72716e6 2.22016e6i 0.223027 0.0509046i
\(353\) −1.97099e7 2.97078e6i −0.448084 0.0675378i −0.0788756 0.996884i \(-0.525133\pi\)
−0.369208 + 0.929347i \(0.620371\pi\)
\(354\) 2.20288e7 + 2.04397e7i 0.496570 + 0.460749i
\(355\) 1.69557e7 2.12617e7i 0.378991 0.475240i
\(356\) 8.28158e6 + 1.21468e7i 0.183554 + 0.269224i
\(357\) −3.20748e7 + 2.97610e7i −0.704951 + 0.654099i
\(358\) −4.88053e6 6.51261e7i −0.106370 1.41940i
\(359\) −3.39658e6 + 8.65434e6i −0.0734105 + 0.187047i −0.962869 0.269969i \(-0.912987\pi\)
0.889458 + 0.457016i \(0.151082\pi\)
\(360\) −2.51205e6 + 1.10060e7i −0.0538419 + 0.235897i
\(361\) 4.37268e7 1.34879e7i 0.929451 0.286698i
\(362\) 1.14939e7 1.68584e7i 0.242293 0.355379i
\(363\) −7.97047e6 5.28806e7i −0.166634 1.10555i
\(364\) 1.33633e7 5.24471e6i 0.277083 0.108747i
\(365\) −2.60793e7 + 1.25591e7i −0.536312 + 0.258274i
\(366\) 1.85984e7 + 3.86200e7i 0.379343 + 0.787714i
\(367\) 6.11614e6 + 1.55837e7i 0.123731 + 0.315262i 0.979296 0.202434i \(-0.0648851\pi\)
−0.855565 + 0.517696i \(0.826790\pi\)
\(368\) 339839. 51222.4i 0.00681914 0.00102782i
\(369\) −1.46354e7 9.97822e6i −0.291289 0.198598i
\(370\) −446023. 1.44597e6i −0.00880546 0.0285466i
\(371\) −2.88916e7 6.59432e6i −0.565783 0.129136i
\(372\) −2.48412e6 974944.i −0.0482551 0.0189387i
\(373\) 4.02506e7 3.01636e6i 0.775614 0.0581243i 0.318960 0.947768i \(-0.396667\pi\)
0.456655 + 0.889644i \(0.349048\pi\)
\(374\) −9.09818e6 9.80551e6i −0.173916 0.187437i
\(375\) 4.21853e7 2.87614e7i 0.799958 0.545402i
\(376\) −2.49173e7 1.98709e7i −0.468746 0.373813i
\(377\) 3.19260e7 3.44081e7i 0.595828 0.642150i
\(378\) 2.63066e6 1.74533e7i 0.0487068 0.323149i
\(379\) −8.45478e6 3.70428e7i −0.155305 0.680435i −0.991292 0.131685i \(-0.957961\pi\)
0.835987 0.548750i \(-0.184896\pi\)
\(380\) 804816. + 1.39398e6i 0.0146672 + 0.0254043i
\(381\) 6.65907e7 + 3.84462e7i 1.20403 + 0.695149i
\(382\) 1.47394e7 + 4.54650e6i 0.264417 + 0.0815619i
\(383\) −4.82140e7 + 3.84494e7i −0.858177 + 0.684374i −0.950287 0.311375i \(-0.899210\pi\)
0.0921096 + 0.995749i \(0.470639\pi\)
\(384\) −91931.3 + 1.22674e6i −0.00162356 + 0.0216650i
\(385\) 4.79983e6 + 2.31148e6i 0.0841092 + 0.0405049i
\(386\) 4.40502e7i 0.765925i
\(387\) −2.02897e7 + 2.18307e7i −0.350059 + 0.376647i
\(388\) −2.30220e7 −0.394138
\(389\) −6.35621e6 + 1.31988e7i −0.107982 + 0.224226i −0.947957 0.318398i \(-0.896855\pi\)
0.839975 + 0.542624i \(0.182569\pi\)
\(390\) −2.49347e7 1.86860e6i −0.420349 0.0315008i
\(391\) 665341. + 834311.i 0.0111305 + 0.0139572i
\(392\) −9.51661e6 + 3.08521e7i −0.157988 + 0.512185i
\(393\) −5.21692e7 + 9.03598e7i −0.859482 + 1.48867i
\(394\) −5.99009e7 + 3.45838e7i −0.979365 + 0.565437i
\(395\) 334421. 76329.5i 0.00542629 0.00123851i
\(396\) 3.89935e6 + 587733.i 0.0627924 + 0.00946443i
\(397\) −2.74600e6 2.54792e6i −0.0438863 0.0407206i 0.657925 0.753084i \(-0.271434\pi\)
−0.701811 + 0.712363i \(0.747625\pi\)
\(398\) −3.71128e7 + 4.65380e7i −0.588674 + 0.738173i
\(399\) 5.17453e6 + 7.58964e6i 0.0814614 + 0.119482i
\(400\) 1.61667e7 1.50005e7i 0.252605 0.234383i
\(401\) 6.09511e6 + 8.13336e7i 0.0945253 + 1.26135i 0.819702 + 0.572790i \(0.194139\pi\)
−0.725177 + 0.688563i \(0.758242\pi\)
\(402\) −1.09039e7 + 2.77826e7i −0.167843 + 0.427656i
\(403\) 1.54020e6 6.74804e6i 0.0235321 0.103101i
\(404\) −5.86021e6 + 1.80764e6i −0.0888728 + 0.0274136i
\(405\) 2.03160e7 2.97980e7i 0.305825 0.448562i
\(406\) −4.65871e6 3.09085e7i −0.0696125 0.461849i
\(407\) −1.69672e6 + 665914.i −0.0251667 + 0.00987722i
\(408\) −8.96847e7 + 4.31899e7i −1.32050 + 0.635919i
\(409\) 2.88184e7 + 5.98420e7i 0.421211 + 0.874654i 0.998317 + 0.0579847i \(0.0184675\pi\)
−0.577107 + 0.816669i \(0.695818\pi\)
\(410\) −5.76781e6 1.46961e7i −0.0836873 0.213232i
\(411\) 4.47058e6 673832.i 0.0643930 0.00970568i
\(412\) −6.67005e6 4.54757e6i −0.0953757 0.0650261i
\(413\) −1.05633e7 3.42454e7i −0.149951 0.486129i
\(414\) 444216. + 101389.i 0.00626027 + 0.00142887i
\(415\) 3.03233e7 + 1.19010e7i 0.424260 + 0.166510i
\(416\) 5.56909e7 4.17346e6i 0.773578 0.0579717i
\(417\) 7.25131e7 + 7.81505e7i 1.00002 + 1.07776i
\(418\) −2.32021e6 + 1.58189e6i −0.0317687 + 0.0216595i
\(419\) −4.66820e7 3.72276e7i −0.634611 0.506085i 0.252527 0.967590i \(-0.418738\pi\)
−0.887138 + 0.461505i \(0.847310\pi\)
\(420\) 7.81984e6 8.42779e6i 0.105548 0.113754i
\(421\) 2.06866e6 1.37247e7i 0.0277232 0.183931i −0.970683 0.240362i \(-0.922734\pi\)
0.998407 + 0.0564306i \(0.0179720\pi\)
\(422\) 1.22659e7 + 5.37403e7i 0.163216 + 0.715094i
\(423\) −1.07699e7 1.86540e7i −0.142296 0.246463i
\(424\) −5.83861e7 3.37092e7i −0.765970 0.442233i
\(425\) 6.54357e7 + 2.01842e7i 0.852408 + 0.262933i
\(426\) 8.00491e7 6.38370e7i 1.03545 0.825741i
\(427\) 3.82015e6 5.09763e7i 0.0490678 0.654764i
\(428\) −4.23249e7 2.03826e7i −0.539839 0.259973i
\(429\) 3.01192e7i 0.381480i
\(430\) −2.59022e7 + 5.88940e6i −0.325785 + 0.0740740i
\(431\) 6.69534e7 0.836259 0.418129 0.908387i \(-0.362686\pi\)
0.418129 + 0.908387i \(0.362686\pi\)
\(432\) 8.88163e6 1.84429e7i 0.110164 0.228759i
\(433\) 3.31460e6 + 248395.i 0.0408289 + 0.00305970i 0.0951289 0.995465i \(-0.469674\pi\)
−0.0543000 + 0.998525i \(0.517293\pi\)
\(434\) −2.87385e6 3.60370e6i −0.0351557 0.0440838i
\(435\) 1.10801e7 3.59207e7i 0.134609 0.436393i
\(436\) −2.80624e7 + 4.86055e7i −0.338583 + 0.586443i
\(437\) 194014. 112014.i 0.00232481 0.00134223i
\(438\) −1.06247e8 + 2.42502e7i −1.26443 + 0.288598i
\(439\) −8.30638e7 1.25199e7i −0.981789 0.147981i −0.361515 0.932366i \(-0.617740\pi\)
−0.620274 + 0.784385i \(0.712979\pi\)
\(440\) 8.88445e6 + 8.24356e6i 0.104297 + 0.0967736i
\(441\) −1.36052e7 + 1.70604e7i −0.158631 + 0.198917i
\(442\) −4.21772e7 6.18625e7i −0.488439 0.716409i
\(443\) 5.30406e7 4.92145e7i 0.610095 0.566085i −0.313436 0.949609i \(-0.601480\pi\)
0.923531 + 0.383524i \(0.125290\pi\)
\(444\) 293953. + 3.92253e6i 0.00335837 + 0.0448144i
\(445\) −1.11567e7 + 2.84268e7i −0.126606 + 0.322588i
\(446\) 1.29254e7 5.66298e7i 0.145693 0.638323i
\(447\) −5.40120e7 + 1.66605e7i −0.604739 + 0.186537i
\(448\) 3.62414e7 5.31563e7i 0.403061 0.591182i
\(449\) −1.13348e7 7.52017e7i −0.125221 0.830784i −0.959960 0.280139i \(-0.909620\pi\)
0.834739 0.550646i \(-0.185619\pi\)
\(450\) 2.72175e7 1.06821e7i 0.298683 0.117224i
\(451\) −1.71335e7 + 8.25106e6i −0.186774 + 0.0899457i
\(452\) 1.30739e7 + 2.71481e7i 0.141576 + 0.293985i
\(453\) −2.20510e7 5.61851e7i −0.237211 0.604403i
\(454\) 1.79502e7 2.70555e6i 0.191823 0.0289127i
\(455\) 2.46382e7 + 1.67980e7i 0.261562 + 0.178330i
\(456\) 6.15966e6 + 1.99691e7i 0.0649624 + 0.210603i
\(457\) −1.62492e8 3.70876e7i −1.70248 0.388580i −0.742765 0.669553i \(-0.766486\pi\)
−0.959716 + 0.280973i \(0.909343\pi\)
\(458\) 5.64094e6 + 2.21390e6i 0.0587158 + 0.0230442i
\(459\) 6.33822e7 4.74984e6i 0.655434 0.0491180i
\(460\) −190715. 205542.i −0.00195934 0.00211167i
\(461\) 1.15895e8 7.90157e7i 1.18294 0.806512i 0.198130 0.980176i \(-0.436513\pi\)
0.984805 + 0.173664i \(0.0555606\pi\)
\(462\) 1.56815e7 + 1.25056e7i 0.159024 + 0.126817i
\(463\) 6.32295e7 6.81452e7i 0.637055 0.686582i −0.329174 0.944269i \(-0.606770\pi\)
0.966228 + 0.257688i \(0.0829606\pi\)
\(464\) 5.40292e6 3.58460e7i 0.0540847 0.358829i
\(465\) −1.23348e6 5.40422e6i −0.0122680 0.0537495i
\(466\) 1.52057e7 + 2.63371e7i 0.150262 + 0.260262i
\(467\) 1.06453e8 + 6.14605e7i 1.04522 + 0.603456i 0.921306 0.388838i \(-0.127123\pi\)
0.123910 + 0.992293i \(0.460457\pi\)
\(468\) 2.10922e7 + 6.50607e6i 0.205771 + 0.0634718i
\(469\) 2.78277e7 2.21919e7i 0.269749 0.215117i
\(470\) 1.43467e6 1.91444e7i 0.0138184 0.184394i
\(471\) 1.03963e8 + 5.00659e7i 0.994983 + 0.479159i
\(472\) 8.15301e7i 0.775339i
\(473\) 9.40584e6 + 3.05831e7i 0.0888821 + 0.289000i
\(474\) 1.29146e6 0.0121268
\(475\) 6.23750e6 1.29523e7i 0.0582009 0.120855i
\(476\) 3.43293e7 + 2.57262e6i 0.318305 + 0.0238537i
\(477\) −2.84094e7 3.56243e7i −0.261762 0.328240i
\(478\) −9.64377e6 + 3.12643e7i −0.0883005 + 0.286263i
\(479\) −9.51310e7 + 1.64772e8i −0.865597 + 1.49926i 0.000857036 1.00000i \(0.499727\pi\)
−0.866454 + 0.499258i \(0.833606\pi\)
\(480\) 3.87335e7 2.23628e7i 0.350238 0.202210i
\(481\) −9.94669e6 + 2.27027e6i −0.0893806 + 0.0204005i
\(482\) −1.53101e8 2.30762e7i −1.36721 0.206074i
\(483\) −1.17297e6 1.08836e6i −0.0104099 0.00965899i
\(484\) −2.62335e7 + 3.28957e7i −0.231377 + 0.290137i
\(485\) −2.69388e7 3.95120e7i −0.236131 0.346341i
\(486\) 6.08456e7 5.64565e7i 0.530054 0.491819i
\(487\) 1.46865e7 + 1.95978e8i 0.127155 + 1.69676i 0.587665 + 0.809105i \(0.300047\pi\)
−0.460510 + 0.887654i \(0.652334\pi\)
\(488\) 4.24877e7 1.08257e8i 0.365598 0.931527i
\(489\) 4.06056e7 1.77905e8i 0.347264 1.52146i
\(490\) −1.85846e7 + 5.73260e6i −0.157967 + 0.0487263i
\(491\) −4.29043e7 + 6.29290e7i −0.362456 + 0.531626i −0.963541 0.267559i \(-0.913783\pi\)
0.601085 + 0.799185i \(0.294735\pi\)
\(492\) 6.11658e6 + 4.05808e7i 0.0513586 + 0.340742i
\(493\) 1.04779e8 4.11227e7i 0.874447 0.343195i
\(494\) −1.41618e7 + 6.81997e6i −0.117473 + 0.0565720i
\(495\) 3.55405e6 + 7.38006e6i 0.0293027 + 0.0608477i
\(496\) −1.95298e6 4.97610e6i −0.0160049 0.0407797i
\(497\) −1.20739e8 + 1.81985e7i −0.983510 + 0.148240i
\(498\) 1.01333e8 + 6.90873e7i 0.820466 + 0.559385i
\(499\) 3.87360e7 + 1.25579e8i 0.311755 + 1.01068i 0.966894 + 0.255176i \(0.0821336\pi\)
−0.655140 + 0.755508i \(0.727390\pi\)
\(500\) −3.91633e7 8.93878e6i −0.313307 0.0715102i
\(501\) 3.41384e6 + 1.33983e6i 0.0271475 + 0.0106546i
\(502\) −1.69758e8 + 1.27216e7i −1.34190 + 0.100561i
\(503\) 9.51789e7 + 1.02578e8i 0.747889 + 0.806032i 0.986270 0.165139i \(-0.0528074\pi\)
−0.238382 + 0.971172i \(0.576617\pi\)
\(504\) 4.18797e7 2.85531e7i 0.327124 0.223029i
\(505\) −9.95961e6 7.94252e6i −0.0773336 0.0616715i
\(506\) 332720. 358587.i 0.00256819 0.00276786i
\(507\) −1.22546e6 + 8.13042e6i −0.00940322 + 0.0623863i
\(508\) −1.34619e7 5.89804e7i −0.102687 0.449900i
\(509\) −7.86375e7 1.36204e8i −0.596316 1.03285i −0.993360 0.115050i \(-0.963297\pi\)
0.397044 0.917800i \(-0.370036\pi\)
\(510\) −5.19288e7 2.99811e7i −0.391469 0.226015i
\(511\) 1.24191e8 + 3.83079e7i 0.930739 + 0.287095i
\(512\) 8.20031e7 6.53953e7i 0.610971 0.487233i
\(513\) 997162. 1.33062e7i 0.00738607 0.0985603i
\(514\) 1.10616e8 + 5.32699e7i 0.814570 + 0.392276i
\(515\) 1.67689e7i 0.122767i
\(516\) 6.90508e7 + 57299.1i 0.502597 + 0.000417060i
\(517\) −2.31250e7 −0.167344
\(518\) −2.94788e6 + 6.12133e6i −0.0212090 + 0.0440410i
\(519\) −2.43015e8 1.82114e7i −1.73832 0.130269i
\(520\) 4.22972e7 + 5.30390e7i 0.300817 + 0.377212i
\(521\) 1.23273e7 3.99641e7i 0.0871674 0.282590i −0.901485 0.432810i \(-0.857522\pi\)
0.988653 + 0.150220i \(0.0479983\pi\)
\(522\) 2.40303e7 4.16218e7i 0.168946 0.292623i
\(523\) 2.78872e7 1.61007e7i 0.194939 0.112548i −0.399354 0.916797i \(-0.630765\pi\)
0.594293 + 0.804249i \(0.297432\pi\)
\(524\) 8.00329e7 1.82670e7i 0.556256 0.126962i
\(525\) −1.01534e8 1.53038e7i −0.701671 0.105760i
\(526\) 1.19125e8 + 1.10532e8i 0.818551 + 0.759504i
\(527\) 1.03489e7 1.29770e7i 0.0707067 0.0886633i
\(528\) 1.31037e7 + 1.92195e7i 0.0890207 + 0.130569i
\(529\) 1.08489e8 1.00663e8i 0.732859 0.679993i
\(530\) −3.03489e6 4.04978e7i −0.0203852 0.272022i
\(531\) 2.01312e7 5.12936e7i 0.134458 0.342594i
\(532\) 1.60819e6 7.04596e6i 0.0106808 0.0467956i
\(533\) −1.01715e8 + 3.13751e7i −0.671746 + 0.207206i
\(534\) −6.47666e7 + 9.49951e7i −0.425331 + 0.623846i
\(535\) −1.45437e7 9.64911e7i −0.0949759 0.630124i
\(536\) 7.53764e7 2.95830e7i 0.489487 0.192109i
\(537\) −3.17722e8 + 1.53007e8i −2.05175 + 0.988070i
\(538\) 8.51314e7 + 1.76777e8i 0.546692 + 1.13522i
\(539\) 8.55879e6 + 2.18075e7i 0.0546571 + 0.139264i
\(540\) −1.65141e7 + 2.48910e6i −0.104875 + 0.0158074i
\(541\) −2.00427e8 1.36649e8i −1.26580 0.863006i −0.270774 0.962643i \(-0.587280\pi\)
−0.995024 + 0.0996367i \(0.968232\pi\)
\(542\) 6.24017e7 + 2.02301e8i 0.391921 + 1.27058i
\(543\) −1.07411e8 2.45160e7i −0.670890 0.153126i
\(544\) 1.24666e8 + 4.89279e7i 0.774376 + 0.303920i
\(545\) −1.16257e8 + 8.71224e6i −0.718173 + 0.0538196i
\(546\) 7.63625e7 + 8.22992e7i 0.469140 + 0.505612i
\(547\) −1.60785e8 + 1.09622e8i −0.982392 + 0.669784i −0.944161 0.329485i \(-0.893125\pi\)
−0.0382315 + 0.999269i \(0.512172\pi\)
\(548\) −2.78104e6 2.21780e6i −0.0168992 0.0134766i
\(549\) 5.34611e7 5.76174e7i 0.323088 0.348206i
\(550\) 4.67849e6 3.10397e7i 0.0281201 0.186565i
\(551\) −5.25825e6 2.30379e7i −0.0314330 0.137717i
\(552\) −1.82013e6 3.15257e6i −0.0108215 0.0187433i
\(553\) −1.33381e6 770074.i −0.00788710 0.00455362i
\(554\) 1.83030e8 + 5.64572e7i 1.07645 + 0.332040i
\(555\) −6.38815e6 + 5.09438e6i −0.0373677 + 0.0297997i
\(556\) 6.26822e6 8.36436e7i 0.0364687 0.486641i
\(557\) −2.37408e8 1.14330e8i −1.37382 0.661596i −0.406147 0.913808i \(-0.633128\pi\)
−0.967672 + 0.252211i \(0.918842\pi\)
\(558\) 7.08711e6i 0.0407912i
\(559\) 2.65463e7 + 1.77121e8i 0.151974 + 1.01399i
\(560\) 2.30301e7 0.131139
\(561\) −3.13383e7 + 6.50746e7i −0.177495 + 0.368572i
\(562\) −1.65879e8 1.24309e7i −0.934507 0.0700316i
\(563\) −9.70356e7 1.21679e8i −0.543759 0.681852i 0.431704 0.902015i \(-0.357912\pi\)
−0.975463 + 0.220163i \(0.929341\pi\)
\(564\) −1.47097e7 + 4.76878e7i −0.0819913 + 0.265809i
\(565\) −3.12954e7 + 5.42052e7i −0.173514 + 0.300535i
\(566\) −6.43210e7 + 3.71357e7i −0.354734 + 0.204806i
\(567\) −1.57869e8 + 3.60325e7i −0.866057 + 0.197672i
\(568\) −2.74680e8 4.14014e7i −1.49893 0.225928i
\(569\) 1.11937e8 + 1.03863e8i 0.607629 + 0.563798i 0.922820 0.385231i \(-0.125878\pi\)
−0.315191 + 0.949028i \(0.602069\pi\)
\(570\) −7.84863e6 + 9.84187e6i −0.0423808 + 0.0531438i
\(571\) −2.18322e7 3.20219e7i −0.117270 0.172004i 0.763115 0.646262i \(-0.223669\pi\)
−0.880386 + 0.474258i \(0.842716\pi\)
\(572\) 1.73712e7 1.61181e7i 0.0928202 0.0861246i
\(573\) −6.22412e6 8.30551e7i −0.0330837 0.441471i
\(574\) −2.58971e7 + 6.59848e7i −0.136936 + 0.348906i
\(575\) −557245. + 2.44145e6i −0.00293118 + 0.0128423i
\(576\) 9.45251e7 2.91571e7i 0.494629 0.152573i
\(577\) −1.83701e8 + 2.69439e8i −0.956276 + 1.40260i −0.0412745 + 0.999148i \(0.513142\pi\)
−0.915001 + 0.403451i \(0.867811\pi\)
\(578\) −4.62453e6 3.06817e7i −0.0239488 0.158890i
\(579\) 2.21414e8 8.68986e7i 1.14069 0.447690i
\(580\) −2.66467e7 + 1.28324e7i −0.136571 + 0.0657692i
\(581\) −6.34599e7 1.31776e8i −0.323572 0.671904i
\(582\) −6.57778e7 1.67599e8i −0.333665 0.850165i
\(583\) −4.83720e7 + 7.29090e6i −0.244111 + 0.0367939i
\(584\) 2.44294e8 + 1.66557e8i 1.22652 + 0.836225i
\(585\) 1.35144e7 + 4.38128e7i 0.0675042 + 0.218843i
\(586\) −5.99812e7 1.36903e7i −0.298073 0.0680332i
\(587\) 2.43537e8 + 9.55811e7i 1.20407 + 0.472561i 0.880682 0.473707i \(-0.157084\pi\)
0.323383 + 0.946268i \(0.395180\pi\)
\(588\) 5.04151e7 3.77809e6i 0.247987 0.0185840i
\(589\) −2.37011e6 2.55437e6i −0.0115991 0.0125008i
\(590\) 4.05782e7 2.76657e7i 0.197577 0.134706i
\(591\) 2.91999e8 + 2.32862e8i 1.41455 + 1.12807i
\(592\) −5.35943e6 + 5.77609e6i −0.0258317 + 0.0278400i
\(593\) 3.70948e7 2.46108e8i 0.177889 1.18022i −0.704503 0.709701i \(-0.748830\pi\)
0.882392 0.470516i \(-0.155932\pi\)
\(594\) −6.48335e6 2.84054e7i −0.0309343 0.135532i
\(595\) 3.57545e7 + 6.19286e7i 0.169738 + 0.293995i
\(596\) 3.85131e7 + 2.22356e7i 0.181916 + 0.105029i
\(597\) 3.07132e8 + 9.47375e7i 1.44345 + 0.445245i
\(598\) 2.14072e6 1.70717e6i 0.0100105 0.00798312i
\(599\) 1.62322e7 2.16604e8i 0.0755263 1.00783i −0.822752 0.568401i \(-0.807562\pi\)
0.898278 0.439428i \(-0.144819\pi\)
\(600\) −2.10465e8 1.01354e8i −0.974373 0.469233i
\(601\) 2.16600e7i 0.0997778i 0.998755 + 0.0498889i \(0.0158867\pi\)
−0.998755 + 0.0498889i \(0.984113\pi\)
\(602\) 1.03239e8 + 5.97196e7i 0.473212 + 0.273733i
\(603\) 5.47266e7 0.249601
\(604\) −2.06042e7 + 4.27851e7i −0.0935072 + 0.194170i
\(605\) −8.71545e7 6.53133e6i −0.393572 0.0294941i
\(606\) −2.99031e7 3.74973e7i −0.134369 0.168493i
\(607\) 8.56879e7 2.77793e8i 0.383136 1.24210i −0.534667 0.845063i \(-0.679563\pi\)
0.917803 0.397035i \(-0.129961\pi\)
\(608\) 1.40577e7 2.43487e7i 0.0625466 0.108334i
\(609\) −1.46168e8 + 8.43902e7i −0.647144 + 0.373629i
\(610\) 6.82977e7 1.55885e7i 0.300896 0.0686775i
\(611\) −1.27994e8 1.92920e7i −0.561133 0.0845773i
\(612\) 3.88016e7 + 3.60026e7i 0.169276 + 0.157065i
\(613\) 1.49469e8 1.87428e8i 0.648887 0.813679i −0.343196 0.939264i \(-0.611509\pi\)
0.992083 + 0.125585i \(0.0400808\pi\)
\(614\) −1.42716e8 2.09325e8i −0.616547 0.904308i
\(615\) −6.24904e7 + 5.79826e7i −0.268651 + 0.249271i
\(616\) −4.06661e6 5.42651e7i −0.0173976 0.232155i
\(617\) 3.83993e7 9.78399e7i 0.163481 0.416543i −0.825535 0.564351i \(-0.809126\pi\)
0.989016 + 0.147808i \(0.0472217\pi\)
\(618\) 1.40486e7 6.15509e7i 0.0595206 0.260777i
\(619\) 2.35615e8 7.26775e7i 0.993414 0.306428i 0.244901 0.969548i \(-0.421244\pi\)
0.748513 + 0.663120i \(0.230768\pi\)
\(620\) −2.45679e6 + 3.60345e6i −0.0103084 + 0.0151197i
\(621\) 346432. + 2.29842e6i 0.00144658 + 0.00959744i
\(622\) −1.35797e8 + 5.32963e7i −0.564311 + 0.221476i
\(623\) 1.23534e8 5.94911e7i 0.510886 0.246030i
\(624\) 5.64934e7 + 1.17310e8i 0.232511 + 0.482814i
\(625\) 4.18793e7 + 1.06707e8i 0.171538 + 0.437071i
\(626\) 3.45897e8 5.21356e7i 1.41001 0.212526i
\(627\) 1.25284e7 + 8.54168e6i 0.0508266 + 0.0346530i
\(628\) −2.67597e7 8.67530e7i −0.108045 0.350272i
\(629\) −2.38526e7 5.44421e6i −0.0958483 0.0218767i
\(630\) 2.84222e7 + 1.11549e7i 0.113667 + 0.0446112i
\(631\) 6.40203e7 4.79766e6i 0.254818 0.0190960i 0.0532913 0.998579i \(-0.483029\pi\)
0.201527 + 0.979483i \(0.435410\pi\)
\(632\) −2.38320e6 2.56848e6i −0.00944083 0.0101748i
\(633\) 2.45923e8 1.67668e8i 0.969591 0.661056i
\(634\) 7.00894e7 + 5.58945e7i 0.275033 + 0.219331i
\(635\) 8.54739e7 9.21190e7i 0.333820 0.359773i
\(636\) −1.57342e7 + 1.04389e8i −0.0611607 + 0.405775i
\(637\) 2.91791e7 + 1.27842e8i 0.112889 + 0.494601i
\(638\) −2.57988e7 4.46848e7i −0.0993429 0.172067i
\(639\) −1.62589e8 9.38707e7i −0.623143 0.359772i
\(640\) 1.92116e6 + 592599.i 0.00732863 + 0.00226058i
\(641\) 3.69376e8 2.94567e8i 1.40247 1.11843i 0.425526 0.904946i \(-0.360089\pi\)
0.976946 0.213488i \(-0.0684824\pi\)
\(642\) 2.74549e7 3.66360e8i 0.103756 1.38453i
\(643\) 2.18714e8 + 1.05327e8i 0.822702 + 0.396193i 0.797373 0.603487i \(-0.206222\pi\)
0.0253292 + 0.999679i \(0.491937\pi\)
\(644\) 1.25894e6i 0.00471355i
\(645\) 8.07002e7 + 1.18577e8i 0.300743 + 0.441896i
\(646\) −3.76935e7 −0.139820
\(647\) −1.50974e8 + 3.13500e8i −0.557428 + 1.15751i 0.411784 + 0.911281i \(0.364906\pi\)
−0.969212 + 0.246229i \(0.920809\pi\)
\(648\) −3.67356e8 2.75295e7i −1.35009 0.101175i
\(649\) −3.68842e7 4.62513e7i −0.134929 0.169196i
\(650\) 5.17898e7 1.67898e8i 0.188584 0.611373i
\(651\) −1.24443e7 + 2.15542e7i −0.0451054 + 0.0781249i
\(652\) −1.24336e8 + 7.17856e7i −0.448596 + 0.258997i
\(653\) −3.23308e8 + 7.37929e7i −1.16112 + 0.265018i −0.759325 0.650712i \(-0.774470\pi\)
−0.401794 + 0.915730i \(0.631613\pi\)
\(654\) −4.34025e8 6.54187e7i −1.55161 0.233867i
\(655\) 1.25000e8 + 1.15983e8i 0.444823 + 0.412735i
\(656\) −5.12561e7 + 6.42732e7i −0.181566 + 0.227676i
\(657\) 1.12568e8 + 1.65107e8i 0.396935 + 0.582197i
\(658\) −6.31877e7 + 5.86296e7i −0.221797 + 0.205797i
\(659\) 4.42729e6 + 5.90781e7i 0.0154697 + 0.206429i 0.999583 + 0.0288857i \(0.00919588\pi\)
−0.984113 + 0.177543i \(0.943185\pi\)
\(660\) 6.93346e6 1.76662e7i 0.0241167 0.0614484i
\(661\) 8.00106e7 3.50549e8i 0.277040 1.21379i −0.624474 0.781045i \(-0.714687\pi\)
0.901515 0.432748i \(-0.142456\pi\)
\(662\) 1.54353e8 4.76117e7i 0.532037 0.164112i
\(663\) −2.27742e8 + 3.34037e8i −0.781453 + 1.14618i
\(664\) −4.95924e7 3.29024e8i −0.169399 1.12389i
\(665\) 1.39746e7 5.48461e6i 0.0475196 0.0186501i
\(666\) −9.41196e6 + 4.53256e6i −0.0318609 + 0.0153434i
\(667\) 1.78600e6 + 3.70867e6i 0.00601872 + 0.0124980i
\(668\) −1.05415e6 2.68593e6i −0.00353650 0.00901085i
\(669\) −3.10142e8 + 4.67464e7i −1.03582 + 0.156124i
\(670\) 4.03013e7 + 2.74770e7i 0.133997 + 0.0913575i
\(671\) −2.48725e7 8.06345e7i −0.0823287 0.266903i
\(672\) −1.95780e8 4.46856e7i −0.645151 0.147252i
\(673\) 1.85131e8 + 7.26584e7i 0.607342 + 0.238364i 0.649025 0.760767i \(-0.275177\pi\)
−0.0416835 + 0.999131i \(0.513272\pi\)
\(674\) −1.12059e8 + 8.39764e6i −0.365987 + 0.0274269i
\(675\) 1.01453e8 + 1.09340e8i 0.329877 + 0.355523i
\(676\) 5.34501e6 3.64416e6i 0.0173025 0.0117966i
\(677\) 7.92654e7 + 6.32120e7i 0.255457 + 0.203720i 0.742841 0.669467i \(-0.233478\pi\)
−0.487385 + 0.873187i \(0.662049\pi\)
\(678\) −1.60283e8 + 1.72744e8i −0.514278 + 0.554260i
\(679\) −3.20017e7 + 2.12318e8i −0.102227 + 0.678229i
\(680\) 3.62002e7 + 1.58603e8i 0.115129 + 0.504413i
\(681\) −4.90098e7 8.48874e7i −0.155182 0.268783i
\(682\) −6.58929e6 3.80433e6i −0.0207723 0.0119929i
\(683\) −1.72203e8 5.31175e7i −0.540477 0.166715i 0.0124840 0.999922i \(-0.496026\pi\)
−0.552961 + 0.833207i \(0.686502\pi\)
\(684\) 8.68790e6 6.92837e6i 0.0271485 0.0216502i
\(685\) 552165. 7.36813e6i 0.00171790 0.0229238i
\(686\) 2.37683e8 + 1.14462e8i 0.736249 + 0.354559i
\(687\) 3.27210e7i 0.100915i
\(688\) 9.39976e7 + 1.01474e8i 0.288637 + 0.311594i
\(689\) −2.73816e8 −0.837145
\(690\) 951428. 1.97566e6i 0.00289620 0.00601402i
\(691\) −3.31711e8 2.48583e7i −1.00537 0.0753420i −0.438144 0.898905i \(-0.644364\pi\)
−0.567225 + 0.823563i \(0.691983\pi\)
\(692\) 1.19545e8 + 1.49904e8i 0.360754 + 0.452372i
\(693\) 1.08406e7 3.51443e7i 0.0325726 0.105598i
\(694\) −1.73802e8 + 3.01034e8i −0.519968 + 0.900611i
\(695\) 1.50890e8 8.71161e7i 0.449474 0.259504i
\(696\) −3.74347e8 + 8.54423e7i −1.11032 + 0.253422i
\(697\) −2.52408e8 3.80444e7i −0.745426 0.112355i
\(698\) −4.54642e7 4.21846e7i −0.133691 0.124048i
\(699\) 1.02384e8 1.28386e8i 0.299779 0.375911i
\(700\) 4.55089e7 + 6.67493e7i 0.132679 + 0.194604i
\(701\) −2.25220e8 + 2.08973e8i −0.653811 + 0.606648i −0.935699 0.352799i \(-0.885230\pi\)
0.281888 + 0.959447i \(0.409039\pi\)
\(702\) −1.21874e7 1.62629e8i −0.0352289 0.470097i
\(703\) −1.87650e6 + 4.78125e6i −0.00540111 + 0.0137618i
\(704\) 2.36316e7 1.03537e8i 0.0677291 0.296740i
\(705\) −9.90575e7 + 3.05552e7i −0.282696 + 0.0872002i
\(706\) −6.90886e7 + 1.01334e8i −0.196332 + 0.287967i
\(707\) 8.52470e6 + 5.65577e7i 0.0241224 + 0.160042i
\(708\) −1.18840e8 + 4.66414e7i −0.334861 + 0.131423i
\(709\) 4.36522e8 2.10218e8i 1.22481 0.589835i 0.294159 0.955756i \(-0.404960\pi\)
0.930646 + 0.365921i \(0.119246\pi\)
\(710\) −7.26019e7 1.50759e8i −0.202849 0.421220i
\(711\) −865157. 2.20438e6i −0.00240705 0.00613308i
\(712\) 3.08447e8 4.64908e7i 0.854555 0.128803i
\(713\) 501526. + 341934.i 0.00138364 + 0.000943353i
\(714\) 7.93560e7 + 2.57266e8i 0.218014 + 0.706786i
\(715\) 4.79897e7 + 1.09533e7i 0.131289 + 0.0299660i
\(716\) 2.58274e8 + 1.01365e8i 0.703625 + 0.276152i
\(717\) 1.76171e8 1.32022e7i 0.477945 0.0358170i
\(718\) 3.89092e7 + 4.19341e7i 0.105118 + 0.113291i
\(719\) 2.63222e8 1.79462e8i 0.708168 0.482821i −0.154886 0.987932i \(-0.549501\pi\)
0.863054 + 0.505112i \(0.168549\pi\)
\(720\) 2.76849e7 + 2.20780e7i 0.0741730 + 0.0591510i
\(721\) −5.12110e7 + 5.51924e7i −0.136634 + 0.147256i
\(722\) 4.19646e7 2.78417e8i 0.111499 0.739749i
\(723\) 1.86034e8 + 8.15068e8i 0.492240 + 2.15665i
\(724\) 4.33411e7 + 7.50690e7i 0.114205 + 0.197809i
\(725\) 2.28757e8 + 1.32073e8i 0.600289 + 0.346577i
\(726\) −3.14433e8 9.69897e7i −0.821709 0.253464i
\(727\) 3.85352e8 3.07308e8i 1.00289 0.799781i 0.0230878 0.999733i \(-0.492650\pi\)
0.979806 + 0.199953i \(0.0640788\pi\)
\(728\) 2.27624e7 3.03744e8i 0.0589963 0.787251i
\(729\) 3.24430e7 + 1.56237e7i 0.0837410 + 0.0403275i
\(730\) 1.78105e8i 0.457833i
\(731\) −1.26934e8 + 4.10301e8i −0.324957 + 1.05039i
\(732\) −1.82104e8 −0.464287
\(733\) 2.68454e8 5.57451e8i 0.681645 1.41545i −0.216734 0.976231i \(-0.569540\pi\)
0.898379 0.439220i \(-0.144745\pi\)
\(734\) 1.02719e8 + 7.69775e6i 0.259755 + 0.0194660i
\(735\) 6.54765e7 + 8.21050e7i 0.164901 + 0.206780i
\(736\) −1.44359e6 + 4.68001e6i −0.00362085 + 0.0117385i
\(737\) 2.93770e7 5.08825e7i 0.0733846 0.127106i
\(738\) −9.43882e7 + 5.44951e7i −0.234827 + 0.135578i
\(739\) −5.26805e8 + 1.20240e8i −1.30532 + 0.297931i −0.817962 0.575272i \(-0.804896\pi\)
−0.487357 + 0.873203i \(0.662039\pi\)
\(740\) 6.35676e6 + 958127.i 0.0156870 + 0.00236444i
\(741\) 6.22171e7 + 5.77290e7i 0.152917 + 0.141886i
\(742\) −1.13689e8 + 1.42561e8i −0.278296 + 0.348972i
\(743\) −1.79592e8 2.63414e8i −0.437846 0.642203i 0.542368 0.840141i \(-0.317528\pi\)
−0.980214 + 0.197938i \(0.936575\pi\)
\(744\) −4.15065e7 + 3.85124e7i −0.100785 + 0.0935151i
\(745\) 6.90325e6 + 9.21174e7i 0.0166949 + 0.222778i
\(746\) 9.07353e7 2.31190e8i 0.218555 0.556868i
\(747\) 5.00416e7 2.19246e8i 0.120052 0.525982i
\(748\) 5.43022e7 1.67500e7i 0.129752 0.0400230i
\(749\) −2.46809e8 + 3.62003e8i −0.587376 + 0.861522i
\(750\) −4.68225e7 3.10647e8i −0.110987 0.736348i
\(751\) −5.60970e7 + 2.20164e7i −0.132440 + 0.0519789i −0.430636 0.902526i \(-0.641711\pi\)
0.298195 + 0.954505i \(0.403615\pi\)
\(752\) −9.00681e7 + 4.33745e7i −0.211796 + 0.101996i
\(753\) 3.98828e8 + 8.28175e8i 0.934116 + 1.93971i
\(754\)