Properties

Label 27.6.e.a.4.2
Level 27
Weight 6
Character 27.4
Analytic conductor 4.330
Analytic rank 0
Dimension 84
CM No

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Newspace parameters

Level: \( N \) = \( 27 = 3^{3} \)
Weight: \( k \) = \( 6 \)
Character orbit: \([\chi]\) = 27.e (of order \(9\) and degree \(6\))

Newform invariants

Self dual: No
Analytic conductor: \(4.33036313495\)
Analytic rank: \(0\)
Dimension: \(84\)
Relative dimension: \(14\) over \(\Q(\zeta_{9})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 4.2
Character \(\chi\) = 27.4
Dual form 27.6.e.a.7.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-8.79489 - 3.20108i) q^{2} +(13.9939 - 6.86812i) q^{3} +(42.5898 + 35.7371i) q^{4} +(-11.0981 + 62.9404i) q^{5} +(-145.060 + 15.6088i) q^{6} +(158.627 - 133.104i) q^{7} +(-110.426 - 191.263i) q^{8} +(148.658 - 192.223i) q^{9} +O(q^{10})\) \(q+(-8.79489 - 3.20108i) q^{2} +(13.9939 - 6.86812i) q^{3} +(42.5898 + 35.7371i) q^{4} +(-11.0981 + 62.9404i) q^{5} +(-145.060 + 15.6088i) q^{6} +(158.627 - 133.104i) q^{7} +(-110.426 - 191.263i) q^{8} +(148.658 - 192.223i) q^{9} +(299.084 - 518.028i) q^{10} +(-38.4490 - 218.055i) q^{11} +(841.443 + 207.589i) q^{12} +(10.0542 - 3.65943i) q^{13} +(-1821.18 + 662.856i) q^{14} +(276.977 + 957.005i) q^{15} +(49.9971 + 283.547i) q^{16} +(869.206 - 1505.51i) q^{17} +(-1922.75 + 1214.72i) q^{18} +(1055.46 + 1828.10i) q^{19} +(-2721.97 + 2284.01i) q^{20} +(1305.64 - 2952.11i) q^{21} +(-359.857 + 2040.85i) q^{22} +(2064.10 + 1731.98i) q^{23} +(-2858.91 - 1918.10i) q^{24} +(-901.791 - 328.225i) q^{25} -100.140 q^{26} +(760.089 - 3710.95i) q^{27} +11512.6 q^{28} +(-2509.43 - 913.356i) q^{29} +(627.465 - 9303.37i) q^{30} +(-4665.50 - 3914.82i) q^{31} +(-759.278 + 4306.08i) q^{32} +(-2035.68 - 2787.37i) q^{33} +(-12463.8 + 10458.4i) q^{34} +(6617.16 + 11461.2i) q^{35} +(13200.8 - 2874.15i) q^{36} +(-2834.39 + 4909.31i) q^{37} +(-3430.72 - 19456.6i) q^{38} +(115.564 - 120.263i) q^{39} +(13263.7 - 4827.60i) q^{40} +(7539.51 - 2744.16i) q^{41} +(-20932.9 + 21784.0i) q^{42} +(1914.18 + 10855.8i) q^{43} +(6155.11 - 10661.0i) q^{44} +(10448.8 + 11489.9i) q^{45} +(-12609.3 - 21839.9i) q^{46} +(-9340.08 + 7837.26i) q^{47} +(2647.09 + 3624.55i) q^{48} +(4527.38 - 25676.1i) q^{49} +(6880.48 + 5773.41i) q^{50} +(1823.56 - 27037.7i) q^{51} +(558.984 + 203.454i) q^{52} -18664.7 q^{53} +(-18563.9 + 30204.3i) q^{54} +14151.2 q^{55} +(-42974.4 - 15641.4i) q^{56} +(27325.6 + 18333.3i) q^{57} +(19146.4 + 16065.7i) q^{58} +(-981.854 + 5568.37i) q^{59} +(-22404.1 + 50656.9i) q^{60} +(-37616.5 + 31564.0i) q^{61} +(28500.9 + 49365.0i) q^{62} +(-2004.52 - 50278.7i) q^{63} +(25068.6 - 43420.1i) q^{64} +(118.744 + 673.429i) q^{65} +(8981.00 + 31031.0i) q^{66} +(-54166.1 + 19714.9i) q^{67} +(90821.7 - 33056.4i) q^{68} +(40780.2 + 10060.7i) q^{69} +(-21508.8 - 121982. i) q^{70} +(14638.0 - 25353.8i) q^{71} +(-53181.0 - 7206.35i) q^{72} +(-2176.16 - 3769.22i) q^{73} +(40643.2 - 34103.7i) q^{74} +(-14873.9 + 1600.46i) q^{75} +(-20379.4 + 115577. i) q^{76} +(-35123.0 - 29471.7i) q^{77} +(-1401.35 + 687.772i) q^{78} +(12045.0 + 4384.04i) q^{79} -18401.5 q^{80} +(-14850.7 - 57151.0i) q^{81} -75093.4 q^{82} +(53520.4 + 19479.9i) q^{83} +(161106. - 79070.1i) q^{84} +(85110.9 + 71416.5i) q^{85} +(17915.4 - 101603. i) q^{86} +(-41389.7 + 4453.63i) q^{87} +(-37460.2 + 31432.8i) q^{88} +(17405.3 + 30146.8i) q^{89} +(-55116.0 - 134500. i) q^{90} +(1107.78 - 1918.74i) q^{91} +(26013.4 + 147529. i) q^{92} +(-92176.0 - 22740.3i) q^{93} +(107233. - 39029.5i) q^{94} +(-126775. + 46142.4i) q^{95} +(18949.4 + 65473.6i) q^{96} +(-1696.46 - 9621.11i) q^{97} +(-122009. + 211326. i) q^{98} +(-47631.0 - 25024.8i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 84q - 6q^{2} - 6q^{3} - 6q^{4} - 93q^{5} - 126q^{6} - 6q^{7} + 573q^{8} + 324q^{9} + O(q^{10}) \) \( 84q - 6q^{2} - 6q^{3} - 6q^{4} - 93q^{5} - 126q^{6} - 6q^{7} + 573q^{8} + 324q^{9} - 3q^{10} + 111q^{11} - 2769q^{12} - 6q^{13} - 1641q^{14} + 1989q^{15} + 90q^{16} + 3465q^{17} - 99q^{18} - 3q^{19} + 9987q^{20} + 5424q^{21} - 2850q^{22} - 7716q^{23} - 18486q^{24} + 4953q^{25} - 7806q^{26} - 8109q^{27} - 12q^{28} - 20418q^{29} - 6453q^{30} - 6657q^{31} + 51192q^{32} + 50634q^{33} - 11394q^{34} + 35868q^{35} - 3600q^{36} - 3q^{37} - 44076q^{38} - 13971q^{39} + 12441q^{40} - 79077q^{41} - 64422q^{42} - 9465q^{43} + 110757q^{44} + 92493q^{45} - 3q^{46} + 103557q^{47} + 134049q^{48} + 5484q^{49} - 105513q^{50} - 124866q^{51} + 68625q^{52} - 206406q^{53} - 350946q^{54} - 12q^{55} - 147237q^{56} + 67767q^{57} - 9753q^{58} + 116484q^{59} + 241290q^{60} - 70116q^{61} + 246066q^{62} + 135981q^{63} - 86019q^{64} - 19815q^{65} - 32931q^{66} + 48117q^{67} - 48105q^{68} + 25263q^{69} + 270111q^{70} + 279531q^{71} + 441684q^{72} - 27012q^{73} + 233691q^{74} + 18399q^{75} - 125670q^{76} - 345135q^{77} - 520974q^{78} - 216186q^{79} - 924114q^{80} - 428616q^{81} - 12q^{82} - 370401q^{83} - 522390q^{84} - 43731q^{85} + 116682q^{86} + 304173q^{87} + 371418q^{88} + 154827q^{89} + 327366q^{90} - 91002q^{91} + 1279059q^{92} + 890079q^{93} + 11667q^{94} + 1087671q^{95} + 1165698q^{96} - 420621q^{97} + 463410q^{98} - 28323q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −8.79489 3.20108i −1.55473 0.565876i −0.585210 0.810882i \(-0.698988\pi\)
−0.969522 + 0.245006i \(0.921210\pi\)
\(3\) 13.9939 6.86812i 0.897708 0.440590i
\(4\) 42.5898 + 35.7371i 1.33093 + 1.11678i
\(5\) −11.0981 + 62.9404i −0.198529 + 1.12591i 0.708774 + 0.705435i \(0.249248\pi\)
−0.907303 + 0.420477i \(0.861863\pi\)
\(6\) −145.060 + 15.6088i −1.64501 + 0.177008i
\(7\) 158.627 133.104i 1.22358 1.02670i 0.224949 0.974371i \(-0.427778\pi\)
0.998630 0.0523340i \(-0.0166660\pi\)
\(8\) −110.426 191.263i −0.610023 1.05659i
\(9\) 148.658 192.223i 0.611761 0.791043i
\(10\) 299.084 518.028i 0.945786 1.63815i
\(11\) −38.4490 218.055i −0.0958084 0.543356i −0.994497 0.104768i \(-0.966590\pi\)
0.898688 0.438588i \(-0.144521\pi\)
\(12\) 841.443 + 207.589i 1.68683 + 0.416151i
\(13\) 10.0542 3.65943i 0.0165002 0.00600559i −0.333757 0.942659i \(-0.608316\pi\)
0.350257 + 0.936654i \(0.386094\pi\)
\(14\) −1821.18 + 662.856i −2.48332 + 0.903856i
\(15\) 276.977 + 957.005i 0.317845 + 1.09821i
\(16\) 49.9971 + 283.547i 0.0488253 + 0.276902i
\(17\) 869.206 1505.51i 0.729458 1.26346i −0.227654 0.973742i \(-0.573106\pi\)
0.957112 0.289717i \(-0.0935611\pi\)
\(18\) −1922.75 + 1214.72i −1.39876 + 0.883678i
\(19\) 1055.46 + 1828.10i 0.670743 + 1.16176i 0.977694 + 0.210036i \(0.0673580\pi\)
−0.306951 + 0.951725i \(0.599309\pi\)
\(20\) −2721.97 + 2284.01i −1.52163 + 1.27680i
\(21\) 1305.64 2952.11i 0.646061 1.46078i
\(22\) −359.857 + 2040.85i −0.158516 + 0.898989i
\(23\) 2064.10 + 1731.98i 0.813598 + 0.682690i 0.951464 0.307761i \(-0.0995797\pi\)
−0.137865 + 0.990451i \(0.544024\pi\)
\(24\) −2858.91 1918.10i −1.01315 0.679740i
\(25\) −901.791 328.225i −0.288573 0.105032i
\(26\) −100.140 −0.0290518
\(27\) 760.089 3710.95i 0.200657 0.979662i
\(28\) 11512.6 2.77510
\(29\) −2509.43 913.356i −0.554089 0.201672i 0.0497735 0.998761i \(-0.484150\pi\)
−0.603862 + 0.797089i \(0.706372\pi\)
\(30\) 627.465 9303.37i 0.127288 1.88728i
\(31\) −4665.50 3914.82i −0.871955 0.731657i 0.0925539 0.995708i \(-0.470497\pi\)
−0.964509 + 0.264051i \(0.914941\pi\)
\(32\) −759.278 + 4306.08i −0.131077 + 0.743374i
\(33\) −2035.68 2787.37i −0.325405 0.445563i
\(34\) −12463.8 + 10458.4i −1.84907 + 1.55156i
\(35\) 6617.16 + 11461.2i 0.913064 + 1.58147i
\(36\) 13200.8 2874.15i 1.69763 0.369619i
\(37\) −2834.39 + 4909.31i −0.340373 + 0.589544i −0.984502 0.175373i \(-0.943887\pi\)
0.644129 + 0.764917i \(0.277220\pi\)
\(38\) −3430.72 19456.6i −0.385413 2.18578i
\(39\) 115.564 120.263i 0.0121664 0.0126611i
\(40\) 13263.7 4827.60i 1.31074 0.477069i
\(41\) 7539.51 2744.16i 0.700460 0.254947i 0.0328526 0.999460i \(-0.489541\pi\)
0.667607 + 0.744514i \(0.267319\pi\)
\(42\) −20932.9 + 21784.0i −1.83107 + 1.90553i
\(43\) 1914.18 + 10855.8i 0.157874 + 0.895348i 0.956111 + 0.293005i \(0.0946551\pi\)
−0.798237 + 0.602343i \(0.794234\pi\)
\(44\) 6155.11 10661.0i 0.479297 0.830166i
\(45\) 10448.8 + 11489.9i 0.769193 + 0.845834i
\(46\) −12609.3 21839.9i −0.878609 1.52180i
\(47\) −9340.08 + 7837.26i −0.616746 + 0.517511i −0.896779 0.442479i \(-0.854099\pi\)
0.280033 + 0.959990i \(0.409655\pi\)
\(48\) 2647.09 + 3624.55i 0.165831 + 0.227065i
\(49\) 4527.38 25676.1i 0.269375 1.52770i
\(50\) 6880.48 + 5773.41i 0.389219 + 0.326593i
\(51\) 1823.56 27037.7i 0.0981735 1.45561i
\(52\) 558.984 + 203.454i 0.0286676 + 0.0104341i
\(53\) −18664.7 −0.912708 −0.456354 0.889798i \(-0.650845\pi\)
−0.456354 + 0.889798i \(0.650845\pi\)
\(54\) −18563.9 + 30204.3i −0.866335 + 1.40956i
\(55\) 14151.2 0.630792
\(56\) −42974.4 15641.4i −1.83122 0.666509i
\(57\) 27325.6 + 18333.3i 1.11399 + 0.747400i
\(58\) 19146.4 + 16065.7i 0.747338 + 0.627091i
\(59\) −981.854 + 5568.37i −0.0367212 + 0.208256i −0.997648 0.0685467i \(-0.978164\pi\)
0.960927 + 0.276803i \(0.0892749\pi\)
\(60\) −22404.1 + 50656.9i −0.803434 + 1.81661i
\(61\) −37616.5 + 31564.0i −1.29436 + 1.08610i −0.303267 + 0.952906i \(0.598077\pi\)
−0.991091 + 0.133190i \(0.957478\pi\)
\(62\) 28500.9 + 49365.0i 0.941629 + 1.63095i
\(63\) −2004.52 50278.7i −0.0636296 1.59600i
\(64\) 25068.6 43420.1i 0.765033 1.32508i
\(65\) 118.744 + 673.429i 0.00348600 + 0.0197701i
\(66\) 8981.00 + 31031.0i 0.253784 + 0.876870i
\(67\) −54166.1 + 19714.9i −1.47415 + 0.536546i −0.949223 0.314604i \(-0.898128\pi\)
−0.524924 + 0.851149i \(0.675906\pi\)
\(68\) 90821.7 33056.4i 2.38187 0.866929i
\(69\) 40780.2 + 10060.7i 1.03116 + 0.254393i
\(70\) −21508.8 121982.i −0.524652 2.97545i
\(71\) 14638.0 25353.8i 0.344616 0.596893i −0.640668 0.767818i \(-0.721342\pi\)
0.985284 + 0.170925i \(0.0546757\pi\)
\(72\) −53181.0 7206.35i −1.20900 0.163827i
\(73\) −2176.16 3769.22i −0.0477951 0.0827836i 0.841138 0.540820i \(-0.181886\pi\)
−0.888933 + 0.458037i \(0.848553\pi\)
\(74\) 40643.2 34103.7i 0.862797 0.723973i
\(75\) −14873.9 + 1600.46i −0.305331 + 0.0328543i
\(76\) −20379.4 + 115577.i −0.404723 + 2.29530i
\(77\) −35123.0 29471.7i −0.675095 0.566472i
\(78\) −1401.35 + 687.772i −0.0260801 + 0.0127999i
\(79\) 12045.0 + 4384.04i 0.217141 + 0.0790327i 0.448300 0.893883i \(-0.352030\pi\)
−0.231159 + 0.972916i \(0.574252\pi\)
\(80\) −18401.5 −0.321460
\(81\) −14850.7 57151.0i −0.251497 0.967858i
\(82\) −75093.4 −1.23330
\(83\) 53520.4 + 19479.9i 0.852755 + 0.310378i 0.731163 0.682203i \(-0.238978\pi\)
0.121592 + 0.992580i \(0.461200\pi\)
\(84\) 161106. 79070.1i 2.49123 1.22268i
\(85\) 85110.9 + 71416.5i 1.27773 + 1.07214i
\(86\) 17915.4 101603.i 0.261204 1.48136i
\(87\) −41389.7 + 4453.63i −0.586265 + 0.0630835i
\(88\) −37460.2 + 31432.8i −0.515660 + 0.432690i
\(89\) 17405.3 + 30146.8i 0.232920 + 0.403428i 0.958666 0.284534i \(-0.0918388\pi\)
−0.725746 + 0.687962i \(0.758505\pi\)
\(90\) −55116.0 134500.i −0.717251 1.75031i
\(91\) 1107.78 1918.74i 0.0140234 0.0242892i
\(92\) 26013.4 + 147529.i 0.320426 + 1.81723i
\(93\) −92176.0 22740.3i −1.10512 0.272640i
\(94\) 107233. 39029.5i 1.25172 0.455589i
\(95\) −126775. + 46142.4i −1.44120 + 0.524555i
\(96\) 18949.4 + 65473.6i 0.209854 + 0.725084i
\(97\) −1696.46 9621.11i −0.0183069 0.103824i 0.974285 0.225319i \(-0.0723423\pi\)
−0.992592 + 0.121495i \(0.961231\pi\)
\(98\) −122009. + 211326.i −1.28329 + 2.22273i
\(99\) −47631.0 25024.8i −0.488430 0.256616i
\(100\) −26677.3 46206.4i −0.266773 0.462064i
\(101\) −1636.73 + 1373.38i −0.0159651 + 0.0133963i −0.650735 0.759305i \(-0.725539\pi\)
0.634770 + 0.772701i \(0.281095\pi\)
\(102\) −102588. + 231957.i −0.976328 + 2.20753i
\(103\) −599.140 + 3397.89i −0.00556462 + 0.0315585i −0.987464 0.157847i \(-0.949545\pi\)
0.981899 + 0.189405i \(0.0606560\pi\)
\(104\) −1810.16 1518.91i −0.0164110 0.0137704i
\(105\) 171317. + 114940.i 1.51645 + 1.01741i
\(106\) 164154. + 59747.3i 1.41902 + 0.516480i
\(107\) −177284. −1.49696 −0.748480 0.663157i \(-0.769216\pi\)
−0.748480 + 0.663157i \(0.769216\pi\)
\(108\) 164991. 130885.i 1.36113 1.07977i
\(109\) 93177.4 0.751181 0.375590 0.926786i \(-0.377440\pi\)
0.375590 + 0.926786i \(0.377440\pi\)
\(110\) −124458. 45299.1i −0.980713 0.356950i
\(111\) −5946.43 + 88167.2i −0.0458088 + 0.679203i
\(112\) 45672.1 + 38323.5i 0.344038 + 0.288682i
\(113\) 8501.09 48212.1i 0.0626294 0.355189i −0.937347 0.348396i \(-0.886726\pi\)
0.999977 0.00679332i \(-0.00216240\pi\)
\(114\) −181639. 248711.i −1.30902 1.79239i
\(115\) −131919. + 110693.i −0.930172 + 0.780507i
\(116\) −74235.2 128579.i −0.512230 0.887208i
\(117\) 791.209 2476.66i 0.00534351 0.0167264i
\(118\) 26460.1 45830.2i 0.174939 0.303003i
\(119\) −62509.5 354509.i −0.404649 2.29488i
\(120\) 152454. 158654.i 0.966467 1.00577i
\(121\) 105269. 38314.7i 0.653636 0.237904i
\(122\) 431872. 157189.i 2.62697 0.956140i
\(123\) 86659.8 90183.6i 0.516482 0.537483i
\(124\) −58798.4 333463.i −0.343409 1.94757i
\(125\) −69194.8 + 119849.i −0.396094 + 0.686055i
\(126\) −143317. + 448613.i −0.804212 + 2.51736i
\(127\) 40459.0 + 70077.0i 0.222590 + 0.385537i 0.955594 0.294688i \(-0.0952156\pi\)
−0.733004 + 0.680225i \(0.761882\pi\)
\(128\) −252282. + 211690.i −1.36101 + 1.14202i
\(129\) 101346. + 138768.i 0.536206 + 0.734204i
\(130\) 1111.36 6302.84i 0.00576762 0.0327098i
\(131\) −152525. 127984.i −0.776539 0.651594i 0.165835 0.986153i \(-0.446968\pi\)
−0.942375 + 0.334560i \(0.891412\pi\)
\(132\) 12913.2 191463.i 0.0645057 0.956421i
\(133\) 410751. + 149501.i 2.01349 + 0.732851i
\(134\) 539494. 2.59552
\(135\) 225133. + 89024.8i 1.06318 + 0.420414i
\(136\) −383932. −1.77995
\(137\) 89490.4 + 32571.9i 0.407357 + 0.148266i 0.537568 0.843220i \(-0.319343\pi\)
−0.130211 + 0.991486i \(0.541565\pi\)
\(138\) −326452. 219023.i −1.45922 0.979022i
\(139\) −245618. 206098.i −1.07826 0.904766i −0.0824833 0.996592i \(-0.526285\pi\)
−0.995775 + 0.0918263i \(0.970730\pi\)
\(140\) −127768. + 724610.i −0.550938 + 3.12452i
\(141\) −76876.8 + 173823.i −0.325648 + 0.736306i
\(142\) −209899. + 176126.i −0.873553 + 0.732998i
\(143\) −1184.53 2051.67i −0.00484403 0.00839011i
\(144\) 61936.9 + 32541.0i 0.248911 + 0.130775i
\(145\) 85336.9 147808.i 0.337067 0.583818i
\(146\) 7073.52 + 40115.9i 0.0274633 + 0.155752i
\(147\) −112991. 390402.i −0.431269 1.49011i
\(148\) −296160. + 107793.i −1.11140 + 0.404518i
\(149\) −136248. + 49590.4i −0.502766 + 0.182992i −0.580938 0.813948i \(-0.697314\pi\)
0.0781716 + 0.996940i \(0.475092\pi\)
\(150\) 135937. + 33536.5i 0.493299 + 0.121700i
\(151\) 30203.8 + 171294.i 0.107800 + 0.611365i 0.990065 + 0.140611i \(0.0449068\pi\)
−0.882265 + 0.470754i \(0.843982\pi\)
\(152\) 233100. 403740.i 0.818338 1.41740i
\(153\) −160180. 390887.i −0.553196 1.34997i
\(154\) 214562. + 371632.i 0.729039 + 1.26273i
\(155\) 298179. 250202.i 0.996890 0.836490i
\(156\) 9219.70 992.062i 0.0303323 0.00326383i
\(157\) 41847.3 237328.i 0.135494 0.768422i −0.839021 0.544099i \(-0.816872\pi\)
0.974515 0.224323i \(-0.0720172\pi\)
\(158\) −91901.2 77114.3i −0.292873 0.245749i
\(159\) −261192. + 128192.i −0.819346 + 0.402130i
\(160\) −262600. 95578.6i −0.810952 0.295162i
\(161\) 557955. 1.69642
\(162\) −52335.0 + 550175.i −0.156677 + 1.64708i
\(163\) 409661. 1.20769 0.603845 0.797102i \(-0.293635\pi\)
0.603845 + 0.797102i \(0.293635\pi\)
\(164\) 419174. + 152567.i 1.21698 + 0.442946i
\(165\) 198030. 97192.1i 0.566268 0.277921i
\(166\) −408350. 342646.i −1.15017 0.965108i
\(167\) −81088.2 + 459874.i −0.224992 + 1.27599i 0.637709 + 0.770277i \(0.279882\pi\)
−0.862701 + 0.505714i \(0.831229\pi\)
\(168\) −708806. + 76269.3i −1.93756 + 0.208486i
\(169\) −284339. + 238589.i −0.765808 + 0.642589i
\(170\) −519931. 900547.i −1.37982 2.38992i
\(171\) 508306. + 68878.7i 1.32934 + 0.180133i
\(172\) −306431. + 530754.i −0.789790 + 1.36796i
\(173\) 56050.8 + 317880.i 0.142386 + 0.807509i 0.969429 + 0.245371i \(0.0789099\pi\)
−0.827043 + 0.562138i \(0.809979\pi\)
\(174\) 378274. + 93322.4i 0.947182 + 0.233675i
\(175\) −186736. + 67966.5i −0.460929 + 0.167764i
\(176\) 59906.6 21804.2i 0.145778 0.0530590i
\(177\) 24504.3 + 84666.6i 0.0587907 + 0.203132i
\(178\) −56575.2 320854.i −0.133837 0.759027i
\(179\) 198344. 343542.i 0.462686 0.801395i −0.536408 0.843959i \(-0.680219\pi\)
0.999094 + 0.0425635i \(0.0135525\pi\)
\(180\) 34396.7 + 862762.i 0.0791290 + 1.98477i
\(181\) −193795. 335663.i −0.439690 0.761565i 0.557975 0.829858i \(-0.311578\pi\)
−0.997665 + 0.0682921i \(0.978245\pi\)
\(182\) −15884.9 + 13329.0i −0.0355472 + 0.0298276i
\(183\) −309616. + 700059.i −0.683433 + 1.54528i
\(184\) 103335. 586042.i 0.225010 1.27610i
\(185\) −277538. 232882.i −0.596201 0.500272i
\(186\) 737884. + 495061.i 1.56389 + 1.04924i
\(187\) −361704. 131650.i −0.756396 0.275306i
\(188\) −677873. −1.39879
\(189\) −373371. 689828.i −0.760303 1.40471i
\(190\) 1.26268e6 2.53752
\(191\) −182798. 66533.0i −0.362567 0.131963i 0.154312 0.988022i \(-0.450684\pi\)
−0.516879 + 0.856059i \(0.672906\pi\)
\(192\) 52592.9 779791.i 0.102961 1.52660i
\(193\) 72845.6 + 61124.7i 0.140770 + 0.118120i 0.710454 0.703744i \(-0.248490\pi\)
−0.569684 + 0.821864i \(0.692934\pi\)
\(194\) −15877.7 + 90047.2i −0.0302890 + 0.171777i
\(195\) 6286.88 + 8608.35i 0.0118399 + 0.0162119i
\(196\) 1.11041e6 931742.i 2.06463 1.73243i
\(197\) 393483. + 681533.i 0.722371 + 1.25118i 0.960047 + 0.279839i \(0.0902811\pi\)
−0.237676 + 0.971345i \(0.576386\pi\)
\(198\) 338803. + 372561.i 0.614165 + 0.675359i
\(199\) −275901. + 477874.i −0.493879 + 0.855423i −0.999975 0.00705403i \(-0.997755\pi\)
0.506097 + 0.862477i \(0.331088\pi\)
\(200\) 36803.7 + 208724.i 0.0650604 + 0.368976i
\(201\) −622591. + 647907.i −1.08696 + 1.13116i
\(202\) 18791.1 6839.41i 0.0324022 0.0117934i
\(203\) −519634. + 189131.i −0.885028 + 0.322124i
\(204\) 1.04391e6 1.08636e6i 1.75626 1.82768i
\(205\) 89044.2 + 504995.i 0.147986 + 0.839271i
\(206\) 16146.3 27966.2i 0.0265097 0.0459162i
\(207\) 639771. 139295.i 1.03776 0.225948i
\(208\) 1540.30 + 2667.89i 0.00246859 + 0.00427572i
\(209\) 358046. 300436.i 0.566987 0.475759i
\(210\) −1.13878e6 1.55928e6i −1.78194 2.43993i
\(211\) 120456. 683139.i 0.186261 1.05634i −0.738064 0.674731i \(-0.764260\pi\)
0.924325 0.381607i \(-0.124629\pi\)
\(212\) −794926. 667023.i −1.21475 1.01930i
\(213\) 30709.9 455333.i 0.0463799 0.687670i
\(214\) 1.55919e6 + 567500.i 2.32737 + 0.847094i
\(215\) −704514. −1.03943
\(216\) −793703. + 264408.i −1.15751 + 0.385603i
\(217\) −1.26115e6 −1.81810
\(218\) −819485. 298268.i −1.16788 0.425075i
\(219\) −56340.4 37799.9i −0.0793797 0.0532575i
\(220\) 602696. + 505722.i 0.839541 + 0.704458i
\(221\) 3229.87 18317.5i 0.00444841 0.0252282i
\(222\) 334528. 756386.i 0.455565 1.03006i
\(223\) 92152.8 77325.4i 0.124093 0.104126i −0.578629 0.815591i \(-0.696412\pi\)
0.702722 + 0.711464i \(0.251968\pi\)
\(224\) 452714. + 784123.i 0.602842 + 1.04415i
\(225\) −197151. + 124552.i −0.259623 + 0.164019i
\(226\) −229097. + 396807.i −0.298365 + 0.516783i
\(227\) 133630. + 757851.i 0.172123 + 0.976156i 0.941413 + 0.337257i \(0.109499\pi\)
−0.769290 + 0.638900i \(0.779390\pi\)
\(228\) 508612. + 1.75735e6i 0.647962 + 2.23882i
\(229\) −29957.8 + 10903.8i −0.0377504 + 0.0137400i −0.360826 0.932633i \(-0.617505\pi\)
0.323076 + 0.946373i \(0.395283\pi\)
\(230\) 1.51455e6 551252.i 1.88784 0.687117i
\(231\) −693923. 171195.i −0.855621 0.211087i
\(232\) 102414. + 580819.i 0.124922 + 0.708469i
\(233\) −176658. + 305980.i −0.213178 + 0.369235i −0.952707 0.303889i \(-0.901715\pi\)
0.739529 + 0.673124i \(0.235048\pi\)
\(234\) −14886.6 + 19249.2i −0.0177728 + 0.0229812i
\(235\) −389623. 674848.i −0.460230 0.797143i
\(236\) −240814. + 202067.i −0.281450 + 0.236165i
\(237\) 198667. 21377.1i 0.229750 0.0247216i
\(238\) −585047. + 3.31797e6i −0.669496 + 3.79690i
\(239\) 770506. + 646532.i 0.872532 + 0.732141i 0.964630 0.263609i \(-0.0849127\pi\)
−0.0920976 + 0.995750i \(0.529357\pi\)
\(240\) −257508. + 126383.i −0.288578 + 0.141632i
\(241\) −822163. 299243.i −0.911833 0.331880i −0.156849 0.987623i \(-0.550134\pi\)
−0.754985 + 0.655742i \(0.772356\pi\)
\(242\) −1.04848e6 −1.15085
\(243\) −600339. 697769.i −0.652200 0.758047i
\(244\) −2.73009e6 −2.93563
\(245\) 1.56582e6 + 569911.i 1.66658 + 0.606585i
\(246\) −1.05085e6 + 515750.i −1.10714 + 0.543378i
\(247\) 17301.6 + 14517.8i 0.0180445 + 0.0151411i
\(248\) −233569. + 1.32464e6i −0.241150 + 1.36763i
\(249\) 882749. 94985.9i 0.902275 0.0970870i
\(250\) 992206. 832559.i 1.00404 0.842491i
\(251\) −427014. 739610.i −0.427817 0.741000i 0.568862 0.822433i \(-0.307384\pi\)
−0.996679 + 0.0814326i \(0.974050\pi\)
\(252\) 1.71144e6 2.21300e6i 1.69770 2.19523i
\(253\) 298305. 516680.i 0.292994 0.507481i
\(254\) −131510. 745831.i −0.127901 0.725365i
\(255\) 1.68153e6 + 414843.i 1.61940 + 0.399515i
\(256\) 1.38879e6 505478.i 1.32445 0.482062i
\(257\) 1.22405e6 445517.i 1.15602 0.420757i 0.308347 0.951274i \(-0.400224\pi\)
0.847674 + 0.530517i \(0.178002\pi\)
\(258\) −447117. 1.54487e6i −0.418188 1.44492i
\(259\) 203837. + 1.15602e6i 0.188814 + 1.07082i
\(260\) −19009.1 + 32924.7i −0.0174393 + 0.0302057i
\(261\) −548614. + 346593.i −0.498501 + 0.314933i
\(262\) 931756. + 1.61385e6i 0.838589 + 1.45248i
\(263\) 460682. 386558.i 0.410688 0.344608i −0.413919 0.910314i \(-0.635840\pi\)
0.824608 + 0.565705i \(0.191396\pi\)
\(264\) −308329. + 697149.i −0.272273 + 0.615624i
\(265\) 207143. 1.17477e6i 0.181199 1.02763i
\(266\) −3.13395e6 2.62970e6i −2.71574 2.27877i
\(267\) 450619. + 302330.i 0.386840 + 0.259539i
\(268\) −3.01147e6 1.09609e6i −2.56119 0.932198i
\(269\) −1.07113e6 −0.902529 −0.451265 0.892390i \(-0.649027\pi\)
−0.451265 + 0.892390i \(0.649027\pi\)
\(270\) −1.69505e6 1.50363e6i −1.41505 1.25526i
\(271\) 2.05037e6 1.69593 0.847966 0.530050i \(-0.177827\pi\)
0.847966 + 0.530050i \(0.177827\pi\)
\(272\) 470341. + 171190.i 0.385470 + 0.140300i
\(273\) 2324.09 34459.0i 0.00188732 0.0279831i
\(274\) −682794. 572932.i −0.549431 0.461027i
\(275\) −36898.2 + 209260.i −0.0294221 + 0.166861i
\(276\) 1.37728e6 + 1.88585e6i 1.08830 + 1.49016i
\(277\) 1.11345e6 934298.i 0.871911 0.731621i −0.0925883 0.995704i \(-0.529514\pi\)
0.964500 + 0.264084i \(0.0850696\pi\)
\(278\) 1.50045e6 + 2.59885e6i 1.16442 + 2.01683i
\(279\) −1.44608e6 + 314850.i −1.11220 + 0.242155i
\(280\) 1.46141e6 2.53124e6i 1.11398 1.92947i
\(281\) 113071. + 641259.i 0.0854253 + 0.484471i 0.997264 + 0.0739222i \(0.0235516\pi\)
−0.911839 + 0.410549i \(0.865337\pi\)
\(282\) 1.23254e6 1.28266e6i 0.922952 0.960482i
\(283\) 77910.4 28357.1i 0.0578269 0.0210473i −0.312945 0.949771i \(-0.601315\pi\)
0.370772 + 0.928724i \(0.379093\pi\)
\(284\) 1.52950e6 556692.i 1.12526 0.409561i
\(285\) −1.45717e6 + 1.51642e6i −1.06267 + 1.10588i
\(286\) 3850.28 + 21836.0i 0.00278341 + 0.0157855i
\(287\) 830711. 1.43883e6i 0.595313 1.03111i
\(288\) 714857. + 786084.i 0.507853 + 0.558454i
\(289\) −801110. 1.38756e6i −0.564218 0.977255i
\(290\) −1.22367e6 + 1.02678e6i −0.854418 + 0.716942i
\(291\) −89819.1 122985.i −0.0621779 0.0851375i
\(292\) 42018.7 238300.i 0.0288393 0.163556i
\(293\) −130711. 109680.i −0.0889495 0.0746375i 0.597229 0.802071i \(-0.296268\pi\)
−0.686178 + 0.727434i \(0.740713\pi\)
\(294\) −255970. + 3.79524e6i −0.172711 + 2.56077i
\(295\) −339579. 123597.i −0.227188 0.0826897i
\(296\) 1.25196e6 0.830542
\(297\) −838417. 23058.8i −0.551530 0.0151686i
\(298\) 1.35703e6 0.885217
\(299\) 27090.9 + 9860.29i 0.0175245 + 0.00637840i
\(300\) −690670. 463384.i −0.443065 0.297261i
\(301\) 1.74859e6 + 1.46724e6i 1.11243 + 0.933439i
\(302\) 282687. 1.60320e6i 0.178357 1.01151i
\(303\) −13471.7 + 30460.1i −0.00842975 + 0.0190601i
\(304\) −465584. + 390672.i −0.288945 + 0.242453i
\(305\) −1.56918e6 2.71790e6i −0.965881 1.67296i
\(306\) 157502. + 3.95056e6i 0.0961571 + 2.41188i
\(307\) −1.07302e6 + 1.85853e6i −0.649776 + 1.12544i 0.333401 + 0.942785i \(0.391804\pi\)
−0.983176 + 0.182659i \(0.941530\pi\)
\(308\) −442649. 2.51039e6i −0.265878 1.50787i
\(309\) 14952.8 + 51664.7i 0.00890897 + 0.0307821i
\(310\) −3.42336e6 + 1.24600e6i −2.02325 + 0.736401i
\(311\) −1.30219e6 + 473959.i −0.763439 + 0.277869i −0.694249 0.719734i \(-0.744264\pi\)
−0.0691895 + 0.997604i \(0.522041\pi\)
\(312\) −35763.2 8823.00i −0.0207994 0.00513133i
\(313\) −314627. 1.78434e6i −0.181524 1.02948i −0.930340 0.366698i \(-0.880488\pi\)
0.748816 0.662778i \(-0.230623\pi\)
\(314\) −1.12775e6 + 1.95332e6i −0.645488 + 1.11802i
\(315\) 3.18681e6 + 431833.i 1.80959 + 0.245211i
\(316\) 356323. + 617170.i 0.200737 + 0.347686i
\(317\) −993324. + 833498.i −0.555192 + 0.465861i −0.876695 0.481047i \(-0.840256\pi\)
0.321503 + 0.946909i \(0.395812\pi\)
\(318\) 2.70751e6 291334.i 1.50142 0.161556i
\(319\) −102677. + 582311.i −0.0564933 + 0.320389i
\(320\) 2.45467e6 + 2.05971e6i 1.34004 + 1.12443i
\(321\) −2.48089e6 + 1.21761e6i −1.34383 + 0.659546i
\(322\) −4.90715e6 1.78606e6i −2.63748 0.959965i
\(323\) 3.66964e6 1.95712
\(324\) 1.40992e6 2.96477e6i 0.746162 1.56902i
\(325\) −10267.9 −0.00539230
\(326\) −3.60292e6 1.31136e6i −1.87763 0.683402i
\(327\) 1.30391e6 639954.i 0.674341 0.330963i
\(328\) −1.35741e6 1.13901e6i −0.696671 0.584576i
\(329\) −438420. + 2.48640e6i −0.223306 + 1.26643i
\(330\) −2.05277e6 + 220883.i −1.03766 + 0.111655i
\(331\) −1.53887e6 + 1.29126e6i −0.772024 + 0.647805i −0.941226 0.337776i \(-0.890325\pi\)
0.169202 + 0.985581i \(0.445881\pi\)
\(332\) 1.58327e6 + 2.74231e6i 0.788334 + 1.36543i
\(333\) 522329. + 1.27464e6i 0.258127 + 0.629909i
\(334\) 2.18526e6 3.78497e6i 1.07185 1.85651i
\(335\) −639721. 3.62804e6i −0.311443 1.76628i
\(336\) 902341. + 222613.i 0.436036 + 0.107573i
\(337\) 2.24492e6 817085.i 1.07678 0.391916i 0.258071 0.966126i \(-0.416913\pi\)
0.818708 + 0.574210i \(0.194691\pi\)
\(338\) 3.26447e6 1.18817e6i 1.55425 0.565702i
\(339\) −212163. 733061.i −0.100270 0.346450i
\(340\) 1.07264e6 + 6.08322e6i 0.503217 + 2.85388i
\(341\) −674263. + 1.16786e6i −0.314010 + 0.543881i
\(342\) −4.25001e6 2.23291e6i −1.96483 1.03230i
\(343\) −959280. 1.66152e6i −0.440261 0.762554i
\(344\) 1.86495e6 1.56488e6i 0.849710 0.712991i
\(345\) −1.08581e6 + 2.45507e6i −0.491140 + 1.11049i
\(346\) 524598. 2.97514e6i 0.235579 1.33603i
\(347\) 837580. + 702813.i 0.373424 + 0.313340i 0.810114 0.586272i \(-0.199405\pi\)
−0.436690 + 0.899612i \(0.643849\pi\)
\(348\) −1.92194e6 1.28947e6i −0.850728 0.570771i
\(349\) 2.49121e6 + 906725.i 1.09483 + 0.398485i 0.825407 0.564537i \(-0.190945\pi\)
0.269421 + 0.963022i \(0.413168\pi\)
\(350\) 1.85989e6 0.811554
\(351\) −5937.89 40092.2i −0.00257256 0.0173697i
\(352\) 968157. 0.416475
\(353\) 218040. + 79360.1i 0.0931321 + 0.0338973i 0.388166 0.921589i \(-0.373109\pi\)
−0.295034 + 0.955487i \(0.595331\pi\)
\(354\) 55512.1 823074.i 0.0235440 0.349085i
\(355\) 1.43332e6 + 1.20270e6i 0.603633 + 0.506508i
\(356\) −336072. + 1.90596e6i −0.140542 + 0.797056i
\(357\) −3.30956e6 4.53164e6i −1.37436 1.88185i
\(358\) −2.84412e6 + 2.38650e6i −1.17284 + 0.984132i
\(359\) −1.83622e6 3.18043e6i −0.751951 1.30242i −0.946876 0.321599i \(-0.895780\pi\)
0.194925 0.980818i \(-0.437554\pi\)
\(360\) 1.04378e6 3.26726e6i 0.424475 1.32870i
\(361\) −989926. + 1.71460e6i −0.399793 + 0.692461i
\(362\) 629924. + 3.57247e6i 0.252648 + 1.43284i
\(363\) 1.20997e6 1.25917e6i 0.481956 0.501554i
\(364\) 115750. 42129.7i 0.0457898 0.0166661i
\(365\) 261388. 95137.3i 0.102696 0.0373782i
\(366\) 4.96398e6 5.16583e6i 1.93699 2.01575i
\(367\) 655131. + 3.71543e6i 0.253900 + 1.43994i 0.798880 + 0.601491i \(0.205426\pi\)
−0.544980 + 0.838449i \(0.683463\pi\)
\(368\) −387900. + 671863.i −0.149314 + 0.258619i
\(369\) 593316. 1.85721e6i 0.226840 0.710060i
\(370\) 1.69544e6 + 2.93659e6i 0.643840 + 1.11516i
\(371\) −2.96073e6 + 2.48435e6i −1.11677 + 0.937082i
\(372\) −3.11308e6 4.26260e6i −1.16636 1.59705i
\(373\) −27190.6 + 154206.i −0.0101192 + 0.0573889i −0.989449 0.144880i \(-0.953720\pi\)
0.979330 + 0.202269i \(0.0648315\pi\)
\(374\) 2.75973e6 + 2.31569e6i 1.02020 + 0.856053i
\(375\) −145168. + 2.15239e6i −0.0533079 + 0.790392i
\(376\) 2.53037e6 + 920979.i 0.923026 + 0.335954i
\(377\) −28572.7 −0.0103537
\(378\) 1.07557e6 + 7.26215e6i 0.387176 + 2.61418i
\(379\) −3.57639e6 −1.27893 −0.639465 0.768820i \(-0.720844\pi\)
−0.639465 + 0.768820i \(0.720844\pi\)
\(380\) −7.04832e6 2.56538e6i −2.50396 0.911365i
\(381\) 1.04747e6 + 702772.i 0.369684 + 0.248029i
\(382\) 1.39471e6 + 1.17030e6i 0.489019 + 0.410335i
\(383\) 549611. 3.11700e6i 0.191451 1.08577i −0.725931 0.687767i \(-0.758591\pi\)
0.917383 0.398007i \(-0.130298\pi\)
\(384\) −2.07649e6 + 4.69506e6i −0.718626 + 1.62485i
\(385\) 2.24476e6 1.88358e6i 0.771824 0.647637i
\(386\) −445004. 770769.i −0.152018 0.263303i
\(387\) 2.37130e6 + 1.24586e6i 0.804840 + 0.422854i
\(388\) 271578. 470388.i 0.0915832 0.158627i
\(389\) 232479. + 1.31845e6i 0.0778949 + 0.441764i 0.998665 + 0.0516578i \(0.0164505\pi\)
−0.920770 + 0.390106i \(0.872438\pi\)
\(390\) −27736.4 95834.3i −0.00923398 0.0319050i
\(391\) 4.40164e6 1.60207e6i 1.45604 0.529954i
\(392\) −5.41083e6 + 1.96938e6i −1.77848 + 0.647313i
\(393\) −3.01343e6 743431.i −0.984192 0.242806i
\(394\) −1.27900e6 7.25357e6i −0.415079 2.35403i
\(395\) −409610. + 709466.i −0.132093 + 0.228791i
\(396\) −1.13428e6 2.76799e6i −0.363482 0.887007i
\(397\) −2.17462e6 3.76655e6i −0.692479 1.19941i −0.971023 0.238985i \(-0.923185\pi\)
0.278545 0.960423i \(-0.410148\pi\)
\(398\) 3.95623e6 3.31967e6i 1.25191 1.05048i
\(399\) 6.77480e6 728985.i 2.13042 0.229238i
\(400\) 47980.5 272111.i 0.0149939 0.0850346i
\(401\) −1.55680e6 1.30631e6i −0.483473 0.405682i 0.368207 0.929744i \(-0.379972\pi\)
−0.851680 + 0.524062i \(0.824416\pi\)
\(402\) 7.54962e6 3.70531e6i 2.33002 1.14356i
\(403\) −61234.0 22287.3i −0.0187815 0.00683590i
\(404\) −118788. −0.0362093
\(405\) 3.76193e6 300440.i 1.13965 0.0910164i
\(406\) 5.17554e6 1.55826
\(407\) 1.17948e6 + 429295.i 0.352943 + 0.128461i
\(408\) −5.37270e6 + 2.63689e6i −1.59787 + 0.784226i
\(409\) −4.69853e6 3.94253e6i −1.38884 1.16538i −0.965805 0.259268i \(-0.916519\pi\)
−0.423039 0.906111i \(-0.639037\pi\)
\(410\) 833394. 4.72641e6i 0.244845 1.38858i
\(411\) 1.47603e6 158824.i 0.431012 0.0463780i
\(412\) −146948. + 123304.i −0.0426502 + 0.0357877i
\(413\) 585423. + 1.01398e6i 0.168886 + 0.292520i
\(414\) −6.07261e6 822877.i −1.74130 0.235958i
\(415\) −1.82005e6 + 3.15241e6i −0.518755 + 0.898509i
\(416\) 8123.88 + 46072.8i 0.00230160 + 0.0130530i
\(417\) −4.85265e6 1.19718e6i −1.36659 0.337146i
\(418\) −4.11070e6 + 1.49617e6i −1.15073 + 0.418833i
\(419\) −426074. + 155078.i −0.118563 + 0.0431535i −0.400620 0.916244i \(-0.631205\pi\)
0.282057 + 0.959398i \(0.408983\pi\)
\(420\) 3.18873e6 + 1.10176e7i 0.882053 + 3.04765i
\(421\) −727794. 4.12752e6i −0.200126 1.13497i −0.904928 0.425566i \(-0.860075\pi\)
0.704802 0.709404i \(-0.251036\pi\)
\(422\) −3.24618e6 + 5.62254e6i −0.887342 + 1.53692i
\(423\) 118028. + 2.96045e6i 0.0320725 + 0.804465i
\(424\) 2.06107e6 + 3.56988e6i 0.556773 + 0.964359i
\(425\) −1.27799e6 + 1.07236e6i −0.343206 + 0.287984i
\(426\) −1.72765e6 + 3.90630e6i −0.461244 + 1.04290i
\(427\) −1.76571e6 + 1.00138e7i −0.468650 + 2.65785i
\(428\) −7.55049e6 6.33561e6i −1.99235 1.67178i
\(429\) −30667.3 20575.3i −0.00804513 0.00539764i
\(430\) 6.19613e6 + 2.25521e6i 1.61603 + 0.588186i
\(431\) −6.34991e6 −1.64655 −0.823274 0.567644i \(-0.807855\pi\)
−0.823274 + 0.567644i \(0.807855\pi\)
\(432\) 1.09023e6 + 29984.5i 0.281067 + 0.00773013i
\(433\) 6.08206e6 1.55895 0.779473 0.626435i \(-0.215487\pi\)
0.779473 + 0.626435i \(0.215487\pi\)
\(434\) 1.10917e7 + 4.03705e6i 2.82666 + 1.02882i
\(435\) 179033. 2.65451e6i 0.0453639 0.672607i
\(436\) 3.96840e6 + 3.32989e6i 0.999769 + 0.838906i
\(437\) −987680. + 5.60141e6i −0.247407 + 1.40312i
\(438\) 374507. + 512796.i 0.0932770 + 0.127720i
\(439\) −1.25794e6 + 1.05554e6i −0.311529 + 0.261404i −0.785124 0.619339i \(-0.787401\pi\)
0.473595 + 0.880743i \(0.342956\pi\)
\(440\) −1.56266e6 2.70661e6i −0.384798 0.666489i
\(441\) −4.26251e6 4.68722e6i −1.04368 1.14767i
\(442\) −87042.1 + 150761.i −0.0211921 + 0.0367058i
\(443\) 660440. + 3.74554e6i 0.159891 + 0.906786i 0.954177 + 0.299243i \(0.0967340\pi\)
−0.794286 + 0.607544i \(0.792155\pi\)
\(444\) −3.40409e6 + 3.54251e6i −0.819491 + 0.852813i
\(445\) −2.09062e6 + 760923.i −0.500466 + 0.182155i
\(446\) −1.05800e6 + 385080.i −0.251854 + 0.0916672i
\(447\) −1.56605e6 + 1.62973e6i −0.370713 + 0.385787i
\(448\) −1.80283e6 1.02243e7i −0.424384 2.40680i
\(449\) 1.45347e6 2.51748e6i 0.340244 0.589319i −0.644234 0.764828i \(-0.722824\pi\)
0.984478 + 0.175509i \(0.0561571\pi\)
\(450\) 2.13262e6 464327.i 0.496458 0.108092i
\(451\) −888264. 1.53852e6i −0.205637 0.356173i
\(452\) 2.08502e6 1.74954e6i 0.480025 0.402789i
\(453\) 1.59914e6 + 2.18963e6i 0.366135 + 0.501332i
\(454\) 1.25068e6 7.09298e6i 0.284779 1.61506i
\(455\) 108472. + 91018.8i 0.0245634 + 0.0206112i
\(456\) 489033. 7.25085e6i 0.110135 1.63297i
\(457\) 2.19194e6 + 797802.i 0.490952 + 0.178692i 0.575620 0.817717i \(-0.304761\pi\)
−0.0846683 + 0.996409i \(0.526983\pi\)
\(458\) 298379. 0.0664669
\(459\) −4.92620e6 4.36990e6i −1.09139 0.968144i
\(460\) −9.57426e6 −2.10965
\(461\) 3.54678e6 + 1.29092e6i 0.777289 + 0.282910i 0.700042 0.714102i \(-0.253165\pi\)
0.0772470 + 0.997012i \(0.475387\pi\)
\(462\) 5.55497e6 + 3.72694e6i 1.21081 + 0.812358i
\(463\) 1.76449e6 + 1.48058e6i 0.382530 + 0.320981i 0.813695 0.581292i \(-0.197453\pi\)
−0.431164 + 0.902273i \(0.641897\pi\)
\(464\) 133516. 757206.i 0.0287898 0.163275i
\(465\) 2.45426e6 5.54922e6i 0.526367 1.19014i
\(466\) 2.53315e6 2.12556e6i 0.540376 0.453429i
\(467\) −321710. 557218.i −0.0682610 0.118231i 0.829875 0.557949i \(-0.188412\pi\)
−0.898136 + 0.439718i \(0.855078\pi\)
\(468\) 122206. 77204.8i 0.0257916 0.0162941i
\(469\) −5.96809e6 + 1.03370e7i −1.25286 + 2.17002i
\(470\) 1.26646e6 + 7.18242e6i 0.264451 + 1.49978i
\(471\) −1.04439e6 3.60855e6i −0.216925 0.749516i
\(472\) 1.17345e6 427100.i 0.242442 0.0882418i
\(473\) 2.29357e6 834792.i 0.471367 0.171564i
\(474\) −1.81569e6 447940.i −0.371189 0.0915744i
\(475\) −351771. 1.99500e6i −0.0715363 0.405703i
\(476\) 1.00068e7 1.73324e7i 2.02432 3.50623i
\(477\) −2.77466e6 + 3.58780e6i −0.558359 + 0.721991i
\(478\) −4.70692e6 8.15262e6i −0.942252 1.63203i
\(479\) 2.20524e6 1.85042e6i 0.439155 0.368495i −0.396238 0.918148i \(-0.629684\pi\)
0.835393 + 0.549653i \(0.185240\pi\)
\(480\) −4.33124e6 + 466052.i −0.858044 + 0.0923276i
\(481\) −10532.3 + 59731.5i −0.00207568 + 0.0117717i
\(482\) 6.27294e6 + 5.26362e6i 1.22985 + 1.03197i
\(483\) 7.80795e6 3.83210e6i 1.52289 0.747427i
\(484\) 5.85262e6 + 2.13018e6i 1.13563 + 0.413336i
\(485\) 624385. 0.120531
\(486\) 3.04630e6 + 8.05854e6i 0.585035 + 1.54762i
\(487\) −5.18900e6 −0.991429 −0.495715 0.868486i \(-0.665094\pi\)
−0.495715 + 0.868486i \(0.665094\pi\)
\(488\) 1.01909e7 + 3.70918e6i 1.93715 + 0.705064i
\(489\) 5.73275e6 2.81360e6i 1.08415 0.532096i
\(490\) −1.19469e7 1.00246e7i −2.24783 1.88615i
\(491\) 1.40376e6 7.96110e6i 0.262778 1.49029i −0.512512 0.858680i \(-0.671285\pi\)
0.775290 0.631606i \(-0.217604\pi\)
\(492\) 6.91372e6 743933.i 1.28765 0.138555i
\(493\) −3.55627e6 + 2.98407e6i −0.658988 + 0.552957i
\(494\) −105693. 183066.i −0.0194863 0.0337513i
\(495\) 2.10369e6 2.72019e6i 0.385894 0.498984i
\(496\) 876776. 1.51862e6i 0.160024 0.277169i
\(497\) −1.05270e6 5.97016e6i −0.191168 1.08416i
\(498\) −8.06774e6 1.99036e6i −1.45773 0.359632i
\(499\) −7003.24 + 2548.97i −0.00125906 + 0.000458262i −0.342650 0.939463i \(-0.611324\pi\)
0.341391 + 0.939922i \(0.389102\pi\)
\(500\) −7.23003e6 + 2.63152e6i −1.29335 + 0.470740i
\(501\) 2.02373e6 + 6.99235e6i 0.360212 + 1.24460i
\(502\) 1.38799e6 + 7.87169e6i 0.245826 + 1.39415i
\(503\) −34372.8 + 59535.5i −0.00605753 + 0.0104919i −0.869038 0.494745i \(-0.835262\pi\)
0.862981 + 0.505237i \(0.168595\pi\)
\(504\) −9.39513e6 + 5.93547e6i −1.64750 + 1.04083i
\(505\) −68276.4 118258.i −0.0119136 0.0206349i
\(506\) −4.27749e6 + 3.58924e6i −0.742699 + 0.623199i
\(507\) −2.34035e6 + 5.29166e6i −0.404354 + 0.914265i
\(508\) −781207. + 4.43044e6i −0.134310 + 0.761707i
\(509\) 7.09399e6 + 5.95256e6i 1.21366 + 1.01838i 0.999132 + 0.0416611i \(0.0132650\pi\)
0.214526 + 0.976718i \(0.431179\pi\)
\(510\) −1.34609e7 9.03120e6i −2.29165 1.53752i
\(511\) −846895. 308245.i −0.143475 0.0522208i
\(512\) −3.29376e6 −0.555286
\(513\) 7.58625e6 2.52723e6i 1.27272 0.423985i
\(514\) −1.21915e7 −2.03540
\(515\) −207216. 75420.3i −0.0344274 0.0125306i
\(516\) −642880. + 9.53192e6i −0.106293 + 1.57600i
\(517\) 2.06807e6 + 1.73532e6i 0.340282 + 0.285531i
\(518\) 1.90778e6 1.08195e7i 0.312394 1.77168i
\(519\) 2.96760e6 + 4.06341e6i 0.483601 + 0.662174i
\(520\) 115690. 97075.4i 0.0187624 0.0157435i
\(521\) 5.12501e6 + 8.87677e6i 0.827180 + 1.43272i 0.900242 + 0.435391i \(0.143390\pi\)
−0.0730613 + 0.997327i \(0.523277\pi\)
\(522\) 5.93447e6 1.29209e6i 0.953248 0.207547i
\(523\) 4.98703e6 8.63778e6i 0.797237 1.38085i −0.124172 0.992261i \(-0.539628\pi\)
0.921409 0.388594i \(-0.127039\pi\)
\(524\) −1.92225e6 1.09016e7i −0.305831 1.73445i
\(525\) −2.14637e6 + 2.23364e6i −0.339864 + 0.353684i
\(526\) −5.28906e6 + 1.92506e6i −0.833516 + 0.303375i
\(527\) −9.94908e6 + 3.62117e6i −1.56047 + 0.567966i
\(528\) 688573. 716572.i 0.107489 0.111860i
\(529\) 143070. + 811389.i 0.0222284 + 0.126064i
\(530\) −5.58232e6 + 9.66886e6i −0.863227 + 1.49515i
\(531\) 924411. + 1.01652e6i 0.142275 + 0.156451i
\(532\) 1.21511e7 + 2.10463e7i 1.86138 + 3.22401i
\(533\) 65761.7 55180.7i 0.0100266 0.00841335i
\(534\) −2.99537e6 4.10143e6i −0.454566 0.622417i
\(535\) 1.96752e6 1.11583e7i 0.297190 1.68545i
\(536\) 9.75208e6 + 8.18296e6i 1.46617 + 1.23027i
\(537\) 416117. 6.16973e6i 0.0622701 0.923274i
\(538\) 9.42046e6 + 3.42877e6i 1.40319 + 0.510720i
\(539\) −5.77287e6 −0.855894
\(540\) 6.40690e6 + 1.18372e7i 0.945504 + 1.74688i
\(541\) 1.06732e7 1.56784 0.783918 0.620864i \(-0.213218\pi\)
0.783918 + 0.620864i \(0.213218\pi\)
\(542\) −1.80328e7 6.56339e6i −2.63672 0.959688i
\(543\) −5.01732e6 3.36622e6i −0.730252 0.489941i
\(544\) 5.82287e6 + 4.88597e6i 0.843607 + 0.707870i
\(545\) −1.03409e6 + 5.86463e6i −0.149131 + 0.845764i
\(546\) −130746. + 295624.i −0.0187693 + 0.0424383i
\(547\) 914243. 767141.i 0.130645 0.109624i −0.575124 0.818066i \(-0.695046\pi\)
0.705769 + 0.708442i \(0.250602\pi\)
\(548\) 2.64735e6 + 4.58535e6i 0.376583 + 0.652261i
\(549\) 475349. + 1.19230e7i 0.0673103 + 1.68832i
\(550\) 994374. 1.72231e6i 0.140166 0.242775i
\(551\) −978879. 5.55150e6i −0.137357 0.778989i
\(552\) −2.57895e6 8.91072e6i −0.360242 1.24470i
\(553\) 2.49420e6 907815.i 0.346832 0.126236i
\(554\) −1.27835e7 + 4.65280e6i −1.76959 + 0.644080i
\(555\) −5.48329e6 1.35276e6i −0.755629 0.186418i
\(556\) −3.09548e6 1.75553e7i −0.424659 2.40836i
\(557\) 5.63502e6 9.76014e6i 0.769586 1.33296i −0.168201 0.985753i \(-0.553796\pi\)
0.937787 0.347210i \(-0.112871\pi\)
\(558\) 1.37260e7 + 1.85996e6i 1.86620 + 0.252882i
\(559\) 58971.7 + 102142.i 0.00798205 + 0.0138253i
\(560\) −2.91897e6 + 2.44931e6i −0.393332 + 0.330045i
\(561\) −5.96583e6 + 641938.i −0.800320 + 0.0861164i
\(562\) 1.05827e6 6.00175e6i 0.141337 0.801562i
\(563\) −4.21897e6 3.54014e6i −0.560965 0.470706i 0.317669 0.948202i \(-0.397100\pi\)
−0.878634 + 0.477496i \(0.841544\pi\)
\(564\) −9.48607e6 + 4.65571e6i −1.25571 + 0.616294i
\(565\) 2.94014e6 + 1.07012e6i 0.387478 + 0.141031i
\(566\) −775987. −0.101815
\(567\) −9.96274e6 7.08902e6i −1.30143 0.926037i
\(568\) −6.46566e6 −0.840896
\(569\) −1.49836e6 545358.i −0.194015 0.0706157i 0.243185 0.969980i \(-0.421808\pi\)
−0.437200 + 0.899364i \(0.644030\pi\)
\(570\) 1.76698e7 8.67223e6i 2.27795 1.11801i
\(571\) −1.93467e6 1.62338e6i −0.248323 0.208368i 0.510127 0.860099i \(-0.329599\pi\)
−0.758450 + 0.651731i \(0.774043\pi\)
\(572\) 22871.7 129712.i 0.00292286 0.0165764i
\(573\) −3.01501e6 + 324422.i −0.383621 + 0.0412785i
\(574\) −1.19118e7 + 9.99522e6i −1.50903 + 1.26623i
\(575\) −1.29290e6 2.23937e6i −0.163078 0.282460i
\(576\) −4.61972e6 1.12735e7i −0.580175 1.41580i
\(577\) 5.99485e6 1.03834e7i 0.749616 1.29837i −0.198391 0.980123i \(-0.563571\pi\)
0.948007 0.318250i \(-0.103095\pi\)
\(578\) 2.60397e6 + 1.47679e7i 0.324203 + 1.83865i
\(579\) 1.43920e6 + 355060.i 0.178413 + 0.0440155i
\(580\) 8.91669e6 3.24541e6i 1.10061 0.400590i
\(581\) 1.10826e7 4.03375e6i 1.36208 0.495756i
\(582\) 396263. + 1.36916e6i 0.0484927 + 0.167551i
\(583\) 717640. + 4.06994e6i 0.0874451 + 0.495926i
\(584\) −480609. + 832439.i −0.0583123 + 0.101000i
\(585\) 147101. + 77285.2i 0.0177716 + 0.00933699i
\(586\) 798497. + 1.38304e6i 0.0960570 + 0.166376i
\(587\) −4.74565e6 + 3.98208e6i −0.568461 + 0.476996i −0.881135 0.472865i \(-0.843220\pi\)
0.312674 + 0.949861i \(0.398775\pi\)
\(588\) 9.13959e6 2.06651e7i 1.09014 2.46487i
\(589\) 2.23247e6 1.26609e7i 0.265153 1.50376i
\(590\) 2.59092e6 + 2.17404e6i 0.306424 + 0.257121i
\(591\) 1.01872e7 + 6.83480e6i 1.19974 + 0.804929i
\(592\) −1.53373e6 558233.i −0.179864 0.0654653i
\(593\) 1.81005e6 0.211375 0.105687 0.994399i \(-0.466296\pi\)
0.105687 + 0.994399i \(0.466296\pi\)
\(594\) 7.29997e6 + 2.88664e6i 0.848897 + 0.335681i
\(595\) 2.30067e7 2.66417
\(596\) −7.57501e6 2.75708e6i −0.873509 0.317931i
\(597\) −578828. + 8.58224e6i −0.0664682 + 0.985518i
\(598\) −206698. 173440.i −0.0236365 0.0198334i
\(599\) 206490. 1.17106e6i 0.0235143 0.133356i −0.970791 0.239928i \(-0.922876\pi\)
0.994305 + 0.106572i \(0.0339874\pi\)
\(600\) 1.94857e6 + 2.66809e6i 0.220972 + 0.302568i
\(601\) −9.50214e6 + 7.97324e6i −1.07309 + 0.900427i −0.995329 0.0965447i \(-0.969221\pi\)
−0.0777590 + 0.996972i \(0.524776\pi\)
\(602\) −1.06819e7 1.85016e7i −1.20132 2.08074i
\(603\) −4.26256e6 + 1.33428e7i −0.477395 + 1.49435i
\(604\) −4.83518e6 + 8.37478e6i −0.539288 + 0.934074i
\(605\) 1.24326e6 + 7.05088e6i 0.138094 + 0.783168i
\(606\) 215987. 224770.i 0.0238916 0.0248631i
\(607\) −1.49370e7 + 5.43663e6i −1.64548 + 0.598905i −0.987984 0.154556i \(-0.950605\pi\)
−0.657493 + 0.753460i \(0.728383\pi\)
\(608\) −8.67335e6 + 3.15684e6i −0.951542 + 0.346333i
\(609\) −5.97272e6 + 6.21559e6i −0.652573 + 0.679108i
\(610\) 5.10056e6 + 2.89267e7i 0.555001 + 3.14757i
\(611\) −65227.2 + 112977.i −0.00706848 + 0.0122430i
\(612\) 7.14715e6 2.23722e7i 0.771355 2.41451i
\(613\) 1.39342e6 + 2.41347e6i 0.149772 + 0.259413i 0.931143 0.364654i \(-0.118813\pi\)
−0.781371 + 0.624067i \(0.785479\pi\)
\(614\) 1.53864e7 1.29107e7i 1.64709 1.38207i
\(615\) 4.71444e6 + 6.45527e6i 0.502623 + 0.688219i
\(616\) −1.75837e6 + 9.97219e6i −0.186706 + 1.05886i
\(617\) −1.39884e7 1.17377e7i −1.47930 1.24128i −0.906929 0.421284i \(-0.861580\pi\)
−0.572370 0.819995i \(-0.693976\pi\)
\(618\) 33874.3 502251.i 0.00356779 0.0528992i
\(619\) −1.42166e7 5.17441e6i −1.49131 0.542793i −0.537517 0.843253i \(-0.680637\pi\)
−0.953794 + 0.300460i \(0.902860\pi\)
\(620\) 2.16408e7 2.26097
\(621\) 7.99620e6 6.34330e6i 0.832060 0.660064i
\(622\) 1.29698e7 1.34418
\(623\) 6.77360e6 + 2.46539e6i 0.699197 + 0.254487i
\(624\) 39878.2 + 26755.1i 0.00409991 + 0.00275071i
\(625\) −9.07274e6 7.61293e6i −0.929049 0.779564i
\(626\) −2.94470e6 + 1.67002e7i −0.300334 + 1.70328i
\(627\) 2.94703e6 6.66338e6i 0.299375 0.676902i
\(628\) 1.02637e7 8.61224e6i 1.03849 0.871399i
\(629\) 4.92734e6 + 8.53440e6i 0.496576 + 0.860095i
\(630\) −2.66453e7 1.39992e7i −2.67467 1.40524i
\(631\) −8.60252e6 + 1.49000e7i −0.860107 + 1.48975i 0.0117182 + 0.999931i \(0.496270\pi\)
−0.871825 + 0.489817i \(0.837063\pi\)
\(632\) −491580. 2.78789e6i −0.0489555 0.277640i
\(633\) −3.00623e6 1.03871e7i −0.298204 1.03035i
\(634\) 1.14043e7 4.15082e6i 1.12679 0.410119i
\(635\) −4.85969e6 + 1.76878e6i −0.478271 + 0.174077i
\(636\) −1.57053e7 3.87459e6i −1.53958 0.379824i
\(637\) −48440.6 274720.i −0.00473000 0.0268251i
\(638\) 2.76706e6 4.79268e6i 0.269133 0.466151i
\(639\) −2.69753e6 6.58280e6i −0.261345 0.637762i
\(640\) −1.05240e7 1.82281e7i −1.01562 1.75910i
\(641\) −626274. + 525506.i −0.0602031 + 0.0505164i −0.672393 0.740195i \(-0.734733\pi\)
0.612190 + 0.790711i \(0.290289\pi\)
\(642\) 2.57168e7 2.76719e6i 2.46252 0.264973i
\(643\) −3.42817e6 + 1.94421e7i −0.326990 + 1.85445i 0.168312 + 0.985734i \(0.446168\pi\)
−0.495303 + 0.868721i \(0.664943\pi\)
\(644\) 2.37632e7 + 1.99397e7i 2.25782 + 1.89454i
\(645\) −9.85890e6 + 4.83869e6i −0.933102 + 0.457961i
\(646\) −3.22740e7 1.17468e7i −3.04279 1.10749i
\(647\) 8.82965e6 0.829245 0.414623 0.909993i \(-0.363914\pi\)
0.414623 + 0.909993i \(0.363914\pi\)
\(648\) −9.29100e6 + 9.15135e6i −0.869211 + 0.856145i
\(649\) 1.25196e6 0.116676
\(650\) 90305.2 + 32868.4i 0.00838358 + 0.00305137i
\(651\) −1.76484e7 + 8.66174e6i −1.63212 + 0.801037i
\(652\) 1.74474e7 + 1.46401e7i 1.60735 + 1.34873i
\(653\) 2.29226e6 1.30000e7i 0.210368 1.19306i −0.678397 0.734695i \(-0.737325\pi\)
0.888765 0.458362i \(-0.151564\pi\)
\(654\) −1.35163e7 + 1.45439e6i −1.23570 + 0.132965i
\(655\) 9.74810e6 8.17963e6i 0.887803 0.744955i
\(656\) 1.15505e6 + 2.00061e6i 0.104795 + 0.181511i
\(657\) −1.04804e6 142015.i −0.0947246 0.0128358i
\(658\) 1.18150e7 2.04642e7i 1.06382 1.84260i
\(659\) −2.70004e6 1.53127e7i −0.242191 1.37353i −0.826928 0.562308i \(-0.809913\pi\)
0.584737 0.811223i \(-0.301198\pi\)
\(660\) 1.19074e7 + 2.93763e6i 1.06404 + 0.262505i
\(661\) 1.27518e6 464129.i 0.113519 0.0413176i −0.284636 0.958636i \(-0.591873\pi\)
0.398155 + 0.917318i \(0.369651\pi\)
\(662\) 1.76676e7 6.43048e6i 1.56687 0.570293i
\(663\) −80608.4 278516.i −0.00712191 0.0246075i
\(664\) −2.18427e6 1.23876e7i −0.192258 1.09035i
\(665\) −1.39682e7 + 2.41937e7i −1.22486 + 2.12152i
\(666\) −513596. 1.28824e7i −0.0448679 1.12541i
\(667\) −3.59778e6 6.23153e6i −0.313126 0.542351i
\(668\) −1.98881e7 + 1.66881e7i −1.72445 + 1.44699i
\(669\) 758497. 1.71500e6i 0.0655222 0.148149i
\(670\) −5.98736e6 + 3.39560e7i −0.515286 + 2.92233i
\(671\) 8.32902e6 + 6.98888e6i 0.714147 + 0.599240i
\(672\) 1.17207e7 + 7.86364e6i 1.00122 + 0.671739i
\(673\) 1.70049e7 + 6.18929e6i 1.44723 + 0.526748i 0.941816 0.336129i \(-0.109118\pi\)
0.505413 + 0.862878i \(0.331340\pi\)
\(674\) −2.23594e7 −1.89588
\(675\) −1.90347e6 + 3.09702e6i −0.160800 + 0.261629i
\(676\) −2.06364e7 −1.73687
\(677\) −1.51673e7 5.52044e6i −1.27185 0.462916i −0.384122 0.923282i \(-0.625496\pi\)
−0.887729 + 0.460367i \(0.847718\pi\)
\(678\) −480635. + 7.12634e6i −0.0401552 + 0.595377i
\(679\) −1.54971e6 1.30036e6i −0.128996 0.108241i
\(680\) 4.26091e6 2.41648e7i 0.353370 2.00406i
\(681\) 7.07501e6 + 9.68750e6i 0.584601 + 0.800468i
\(682\) 9.66847e6 8.11281e6i 0.795970 0.667898i
\(683\) 4.34396e6 + 7.52396e6i 0.356315 + 0.617156i 0.987342 0.158605i \(-0.0506997\pi\)
−0.631027 + 0.775761i \(0.717366\pi\)
\(684\) 1.91871e7 + 2.10989e7i 1.56808 + 1.72433i
\(685\) −3.04326e6 + 5.27108e6i −0.247807 + 0.429213i
\(686\) 3.11810e6 + 1.76836e7i 0.252976 + 1.43470i
\(687\) −344338. + 358340.i −0.0278351 + 0.0289670i
\(688\) −2.98244e6 + 1.08552e6i −0.240215 + 0.0874312i
\(689\) −187659. + 68302.4i −0.0150599 + 0.00548135i
\(690\) 1.74084e7 1.81163e7i 1.39199 1.44859i
\(691\) −870901. 4.93913e6i −0.0693863 0.393509i −0.999646 0.0266074i \(-0.991530\pi\)
0.930260 0.366902i \(-0.119582\pi\)
\(692\) −8.97290e6 + 1.55415e7i −0.712307 + 1.23375i
\(693\) −1.08865e7 + 2.37026e6i −0.861101 + 0.187484i
\(694\) −5.11666e6 8.86232e6i −0.403263 0.698472i
\(695\) 1.56978e7 1.31720e7i 1.23275 1.03440i
\(696\) 5.42231e6 + 7.42453e6i 0.424288 + 0.580959i
\(697\) 2.42203e6 1.37360e7i 0.188842 1.07097i
\(698\) −1.90074e7 1.59491e7i −1.47667 1.23907i
\(699\) −370620. + 5.49515e6i −0.0286904 + 0.425390i
\(700\) −1.03820e7 3.77873e6i −0.800821 0.291475i
\(701\) 2.21681e7 1.70386 0.851929 0.523657i \(-0.175433\pi\)
0.851929 + 0.523657i \(0.175433\pi\)
\(702\) −76115.2 + 371614.i −0.00582946 + 0.0284610i
\(703\) −1.19663e7 −0.913212
\(704\) −1.04318e7 3.79688e6i −0.793285 0.288732i
\(705\) −1.00873e7 6.76776e6i −0.764366 0.512829i
\(706\) −1.66360e6 1.39593e6i −0.125614 0.105402i
\(707\) −76827.3 + 435709.i −0.00578052 + 0.0327830i
\(708\) −1.98211e6 + 4.48164e6i −0.148608 + 0.336011i
\(709\) 1.09055e7 9.15079e6i 0.814759 0.683664i −0.136979 0.990574i \(-0.543739\pi\)
0.951739 + 0.306910i \(0.0992950\pi\)
\(710\) −8.75598e6 1.51658e7i −0.651867 1.12907i
\(711\) 2.63331e6 1.66362e6i 0.195356 0.123418i
\(712\) 3.84399e6 6.65798e6i 0.284173 0.492201i
\(713\) −2.84964e6 1.61611e7i −0.209926 1.19055i
\(714\) 1.46011e7 + 5.04494e7i 1.07186 + 3.70348i
\(715\) 142279. 51785.4i 0.0104082 0.00378828i
\(716\) 2.07246e7 7.54313e6i 1.51079 0.549882i
\(717\) 1.52228e7 + 3.75556e6i 1.10585 + 0.272821i
\(718\) 5.96857e6 + 3.38494e7i 0.432075 + 2.45042i
\(719\) −7.28481e6 + 1.26177e7i −0.525528 + 0.910242i 0.474029 + 0.880509i \(0.342799\pi\)
−0.999558 + 0.0297330i \(0.990534\pi\)
\(720\) −2.73552e6 + 3.53719e6i −0.196657 + 0.254289i
\(721\) 357233. + 618746.i 0.0255925 + 0.0443276i
\(722\) 1.41949e7 1.19109e7i 1.01342 0.850358i
\(723\) −1.35605e7 + 1.45914e6i −0.964784 + 0.103813i
\(724\) 3.74192e6 2.12215e7i 0.265307 1.50463i
\(725\) 1.96319e6 + 1.64731e6i 0.138713 + 0.116394i
\(726\) −1.46722e7 + 7.20105e6i −1.03313 + 0.507054i
\(727\) −1.59353e7 5.79999e6i −1.11821 0.406997i −0.284214 0.958761i \(-0.591733\pi\)
−0.834000 + 0.551764i \(0.813955\pi\)
\(728\) −489313. −0.0342183
\(729\) −1.31934e7 5.64131e6i −0.919473 0.393152i
\(730\) −2.60342e6 −0.180816
\(731\) 1.80074e7 + 6.55414e6i 1.24640 + 0.453652i
\(732\) −3.82045e7 + 1.87506e7i −2.63534 + 1.29341i
\(733\) −1.21780e6 1.02186e6i −0.0837177 0.0702475i 0.599968 0.800024i \(-0.295180\pi\)
−0.683686 + 0.729776i \(0.739624\pi\)
\(734\) 6.13159e6 3.47740e7i 0.420081 2.38240i
\(735\) 2.58261e7 2.77895e6i 1.76336 0.189741i
\(736\) −9.02528e6 + 7.57311e6i −0.614138 + 0.515323i
\(737\) 6.38156e6 + 1.10532e7i 0.432771 + 0.749581i
\(738\) −1.11632e7 + 1.44347e7i −0.754482 + 0.975589i
\(739\) 6.99084e6 1.21085e7i 0.470889 0.815603i −0.528557 0.848898i \(-0.677267\pi\)
0.999446 + 0.0332948i \(0.0106000\pi\)
\(740\) −3.49775e6 1.98368e7i −0.234806 1.33165i
\(741\) 341827. + 84330.6i 0.0228697 + 0.00564209i
\(742\) 3.39919e7 1.23720e7i 2.26655 0.824957i
\(743\) 8.75119e6 3.18517e6i 0.581560 0.211671i −0.0344530 0.999406i \(-0.510969\pi\)
0.616013 + 0.787736i \(0.288747\pi\)
\(744\) 5.82922e6 + 2.01410e7i 0.386081 + 1.33398i
\(745\) −1.60914e6 9.12590e6i −0.106219 0.602400i
\(746\) 732763. 1.26918e6i 0.0482077 0.0834982i
\(747\) 1.17007e7 7.39205e6i 0.767204 0.484689i
\(748\) −1.07001e7 1.85332e7i −0.699254 1.21114i
\(749\) −2.81220e7 + 2.35972e7i −1.83165 + 1.53694i
\(750\) 8.16670e6 1.84653e7i 0.530143 1.19868i
\(751\) 959212. 5.43996e6i 0.0620604 0.351962i −0.937926 0.346834i \(-0.887257\pi\)
0.999987 0.00512792i \(-0.00163228\pi\)
\(752\) −2.68921e6 2.25652e6i −0.173412 0.145510i
\(753\) −1.10553e7 7.41724e6i −0.710532 0.476710i
\(754\) 251293. + 91463.3i 0.0160973 + 0.00585893i
\(755\) −1.11165e7 −0.709745
\(756\) 8.75062e6 4.27228e7i 0.556845 2.71866i
\(757\) −9.92299e6 −0.629365 −0.314683 0.949197i \(-0.601898\pi\)
−0.314683 + 0.949197i \(0.601898\pi\)
\(758\) 3.14540e7 + 1.14483e7i