Properties

Label 27.6.e.a.4.10
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 4.10
Character \(\chi\) = 27.4
Dual form 27.6.e.a.7.10

$q$-expansion

\(f(q)\) \(=\) \(q+(4.64663 + 1.69124i) q^{2} +(-11.1566 - 10.8872i) q^{3} +(-5.78253 - 4.85212i) q^{4} +(9.66519 - 54.8140i) q^{5} +(-33.4278 - 69.4570i) q^{6} +(60.6928 - 50.9273i) q^{7} +(-97.7806 - 169.361i) q^{8} +(5.93943 + 242.927i) q^{9} +O(q^{10})\) \(q+(4.64663 + 1.69124i) q^{2} +(-11.1566 - 10.8872i) q^{3} +(-5.78253 - 4.85212i) q^{4} +(9.66519 - 54.8140i) q^{5} +(-33.4278 - 69.4570i) q^{6} +(60.6928 - 50.9273i) q^{7} +(-97.7806 - 169.361i) q^{8} +(5.93943 + 242.927i) q^{9} +(137.614 - 238.354i) q^{10} +(30.3601 + 172.181i) q^{11} +(11.6876 + 117.088i) q^{12} +(162.354 - 59.0920i) q^{13} +(368.147 - 133.995i) q^{14} +(-704.600 + 506.312i) q^{15} +(-125.976 - 714.444i) q^{16} +(263.395 - 456.213i) q^{17} +(-383.249 + 1138.84i) q^{18} +(-343.270 - 594.561i) q^{19} +(-321.853 + 270.067i) q^{20} +(-1231.58 - 92.5967i) q^{21} +(-150.126 + 851.406i) q^{22} +(3501.96 + 2938.49i) q^{23} +(-752.961 + 2954.05i) q^{24} +(25.3785 + 9.23702i) q^{25} +854.338 q^{26} +(2578.53 - 2774.91i) q^{27} -598.063 q^{28} +(4147.67 + 1509.63i) q^{29} +(-4130.31 + 1161.00i) q^{30} +(-8175.51 - 6860.06i) q^{31} +(-463.753 + 2630.08i) q^{32} +(1535.84 - 2251.49i) q^{33} +(1995.46 - 1674.39i) q^{34} +(-2204.92 - 3819.04i) q^{35} +(1144.37 - 1433.55i) q^{36} +(7714.90 - 13362.6i) q^{37} +(-589.506 - 3343.25i) q^{38} +(-2454.66 - 1108.31i) q^{39} +(-10228.4 + 3722.84i) q^{40} +(5165.96 - 1880.26i) q^{41} +(-5566.09 - 2513.15i) q^{42} +(1242.19 + 7044.79i) q^{43} +(659.882 - 1142.95i) q^{44} +(13373.2 + 2022.38i) q^{45} +(11302.6 + 19576.7i) q^{46} +(-1340.96 + 1125.20i) q^{47} +(-6372.81 + 9342.29i) q^{48} +(-1828.48 + 10369.8i) q^{49} +(102.303 + 85.8421i) q^{50} +(-7905.45 + 2222.16i) q^{51} +(-1225.54 - 446.059i) q^{52} -23678.4 q^{53} +(16674.5 - 8533.07i) q^{54} +9731.35 q^{55} +(-14559.7 - 5299.29i) q^{56} +(-2643.36 + 10370.5i) q^{57} +(16719.6 + 14029.4i) q^{58} +(-6413.00 + 36369.9i) q^{59} +(6531.05 + 491.039i) q^{60} +(33541.7 - 28144.8i) q^{61} +(-26386.6 - 45702.9i) q^{62} +(12732.1 + 14441.5i) q^{63} +(-18210.4 + 31541.4i) q^{64} +(-1669.89 - 9470.42i) q^{65} +(10944.3 - 7864.35i) q^{66} +(-39499.8 + 14376.8i) q^{67} +(-3736.68 + 1360.04i) q^{68} +(-7078.12 - 70910.0i) q^{69} +(-3786.57 - 21474.7i) q^{70} +(-12558.4 + 21751.8i) q^{71} +(40561.7 - 24759.5i) q^{72} +(20511.6 + 35527.1i) q^{73} +(58447.6 - 49043.4i) q^{74} +(-182.573 - 379.354i) q^{75} +(-899.911 + 5103.65i) q^{76} +(10611.3 + 8903.97i) q^{77} +(-9531.51 - 9301.31i) q^{78} +(-66682.8 - 24270.6i) q^{79} -40379.1 q^{80} +(-58978.4 + 2885.70i) q^{81} +27184.3 q^{82} +(59133.9 + 21523.0i) q^{83} +(6672.35 + 6511.21i) q^{84} +(-22461.1 - 18847.1i) q^{85} +(-6142.42 + 34835.4i) q^{86} +(-29838.3 - 61998.7i) q^{87} +(26192.1 - 21977.7i) q^{88} +(35695.2 + 61825.9i) q^{89} +(58720.2 + 32014.5i) q^{90} +(6844.32 - 11854.7i) q^{91} +(-5992.27 - 33983.8i) q^{92} +(16524.2 + 165543. i) q^{93} +(-8133.90 + 2960.50i) q^{94} +(-35908.0 + 13069.5i) q^{95} +(33808.0 - 24293.7i) q^{96} +(-6073.03 - 34441.8i) q^{97} +(-26034.1 + 45092.3i) q^{98} +(-41647.1 + 8397.95i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 4.64663 + 1.69124i 0.821416 + 0.298971i 0.718331 0.695702i \(-0.244906\pi\)
0.103085 + 0.994673i \(0.467129\pi\)
\(3\) −11.1566 10.8872i −0.715696 0.698412i
\(4\) −5.78253 4.85212i −0.180704 0.151629i
\(5\) 9.66519 54.8140i 0.172896 0.980543i −0.767648 0.640872i \(-0.778573\pi\)
0.940544 0.339671i \(-0.110316\pi\)
\(6\) −33.4278 69.4570i −0.379079 0.787659i
\(7\) 60.6928 50.9273i 0.468158 0.392831i −0.377964 0.925820i \(-0.623376\pi\)
0.846122 + 0.532989i \(0.178931\pi\)
\(8\) −97.7806 169.361i −0.540167 0.935596i
\(9\) 5.93943 + 242.927i 0.0244421 + 0.999701i
\(10\) 137.614 238.354i 0.435174 0.753743i
\(11\) 30.3601 + 172.181i 0.0756522 + 0.429045i 0.998985 + 0.0450441i \(0.0143428\pi\)
−0.923333 + 0.384001i \(0.874546\pi\)
\(12\) 11.6876 + 117.088i 0.0234299 + 0.234726i
\(13\) 162.354 59.0920i 0.266443 0.0969774i −0.205344 0.978690i \(-0.565831\pi\)
0.471787 + 0.881712i \(0.343609\pi\)
\(14\) 368.147 133.995i 0.501997 0.182712i
\(15\) −704.600 + 506.312i −0.808564 + 0.581018i
\(16\) −125.976 714.444i −0.123023 0.697699i
\(17\) 263.395 456.213i 0.221047 0.382865i −0.734079 0.679064i \(-0.762386\pi\)
0.955126 + 0.296199i \(0.0957193\pi\)
\(18\) −383.249 + 1138.84i −0.278804 + 0.828478i
\(19\) −343.270 594.561i −0.218148 0.377844i 0.736094 0.676880i \(-0.236668\pi\)
−0.954242 + 0.299036i \(0.903335\pi\)
\(20\) −321.853 + 270.067i −0.179921 + 0.150972i
\(21\) −1231.58 92.5967i −0.609416 0.0458192i
\(22\) −150.126 + 851.406i −0.0661300 + 0.375042i
\(23\) 3501.96 + 2938.49i 1.38036 + 1.15826i 0.969080 + 0.246748i \(0.0793620\pi\)
0.411278 + 0.911510i \(0.365082\pi\)
\(24\) −752.961 + 2954.05i −0.266836 + 1.04686i
\(25\) 25.3785 + 9.23702i 0.00812112 + 0.00295585i
\(26\) 854.338 0.247854
\(27\) 2578.53 2774.91i 0.680710 0.732553i
\(28\) −598.063 −0.144162
\(29\) 4147.67 + 1509.63i 0.915818 + 0.333330i 0.756573 0.653909i \(-0.226872\pi\)
0.159245 + 0.987239i \(0.449094\pi\)
\(30\) −4130.31 + 1161.00i −0.837875 + 0.235520i
\(31\) −8175.51 6860.06i −1.52795 1.28211i −0.811168 0.584814i \(-0.801168\pi\)
−0.716787 0.697292i \(-0.754388\pi\)
\(32\) −463.753 + 2630.08i −0.0800594 + 0.454039i
\(33\) 1535.84 2251.49i 0.245506 0.359902i
\(34\) 1995.46 1674.39i 0.296037 0.248404i
\(35\) −2204.92 3819.04i −0.304245 0.526968i
\(36\) 1144.37 1433.55i 0.147167 0.184356i
\(37\) 7714.90 13362.6i 0.926459 1.60467i 0.137261 0.990535i \(-0.456170\pi\)
0.789198 0.614139i \(-0.210497\pi\)
\(38\) −589.506 3343.25i −0.0662261 0.375587i
\(39\) −2454.66 1108.31i −0.258423 0.116681i
\(40\) −10228.4 + 3722.84i −1.01079 + 0.367896i
\(41\) 5165.96 1880.26i 0.479945 0.174686i −0.0907070 0.995878i \(-0.528913\pi\)
0.570652 + 0.821192i \(0.306690\pi\)
\(42\) −5566.09 2513.15i −0.486886 0.219834i
\(43\) 1242.19 + 7044.79i 0.102451 + 0.581028i 0.992208 + 0.124593i \(0.0397627\pi\)
−0.889757 + 0.456435i \(0.849126\pi\)
\(44\) 659.882 1142.95i 0.0513848 0.0890011i
\(45\) 13373.2 + 2022.38i 0.984476 + 0.148878i
\(46\) 11302.6 + 19576.7i 0.787563 + 1.36410i
\(47\) −1340.96 + 1125.20i −0.0885462 + 0.0742991i −0.685986 0.727614i \(-0.740629\pi\)
0.597440 + 0.801914i \(0.296185\pi\)
\(48\) −6372.81 + 9342.29i −0.399234 + 0.585262i
\(49\) −1828.48 + 10369.8i −0.108793 + 0.616994i
\(50\) 102.303 + 85.8421i 0.00578711 + 0.00485596i
\(51\) −7905.45 + 2222.16i −0.425600 + 0.119633i
\(52\) −1225.54 446.059i −0.0628519 0.0228762i
\(53\) −23678.4 −1.15788 −0.578939 0.815371i \(-0.696533\pi\)
−0.578939 + 0.815371i \(0.696533\pi\)
\(54\) 16674.5 8533.07i 0.778158 0.398218i
\(55\) 9731.35 0.433777
\(56\) −14559.7 5299.29i −0.620414 0.225812i
\(57\) −2643.36 + 10370.5i −0.107763 + 0.422779i
\(58\) 16719.6 + 14029.4i 0.652611 + 0.547606i
\(59\) −6413.00 + 36369.9i −0.239845 + 1.36023i 0.592320 + 0.805703i \(0.298212\pi\)
−0.832165 + 0.554527i \(0.812899\pi\)
\(60\) 6531.05 + 491.039i 0.234210 + 0.0176091i
\(61\) 33541.7 28144.8i 1.15414 0.968442i 0.154336 0.988018i \(-0.450676\pi\)
0.999808 + 0.0195766i \(0.00623183\pi\)
\(62\) −26386.6 45702.9i −0.871774 1.50996i
\(63\) 12732.1 + 14441.5i 0.404156 + 0.458416i
\(64\) −18210.4 + 31541.4i −0.555738 + 0.962566i
\(65\) −1669.89 9470.42i −0.0490235 0.278026i
\(66\) 10944.3 7864.35i 0.309263 0.222230i
\(67\) −39499.8 + 14376.8i −1.07500 + 0.391268i −0.818044 0.575155i \(-0.804942\pi\)
−0.256955 + 0.966423i \(0.582719\pi\)
\(68\) −3736.68 + 1360.04i −0.0979973 + 0.0356681i
\(69\) −7078.12 70910.0i −0.178976 1.79302i
\(70\) −3786.57 21474.7i −0.0923636 0.523820i
\(71\) −12558.4 + 21751.8i −0.295657 + 0.512093i −0.975137 0.221601i \(-0.928872\pi\)
0.679481 + 0.733693i \(0.262205\pi\)
\(72\) 40561.7 24759.5i 0.922114 0.562873i
\(73\) 20511.6 + 35527.1i 0.450497 + 0.780283i 0.998417 0.0562477i \(-0.0179136\pi\)
−0.547920 + 0.836531i \(0.684580\pi\)
\(74\) 58447.6 49043.4i 1.24076 1.04112i
\(75\) −182.573 379.354i −0.00374786 0.00778738i
\(76\) −899.911 + 5103.65i −0.0178717 + 0.101355i
\(77\) 10611.3 + 8903.97i 0.203959 + 0.171142i
\(78\) −9531.51 9301.31i −0.177388 0.173104i
\(79\) −66682.8 24270.6i −1.20212 0.437534i −0.338153 0.941091i \(-0.609802\pi\)
−0.863962 + 0.503557i \(0.832024\pi\)
\(80\) −40379.1 −0.705395
\(81\) −58978.4 + 2885.70i −0.998805 + 0.0488696i
\(82\) 27184.3 0.446461
\(83\) 59133.9 + 21523.0i 0.942196 + 0.342931i 0.767032 0.641608i \(-0.221732\pi\)
0.175163 + 0.984539i \(0.443955\pi\)
\(84\) 6672.35 + 6511.21i 0.103176 + 0.100685i
\(85\) −22461.1 18847.1i −0.337197 0.282942i
\(86\) −6142.42 + 34835.4i −0.0895557 + 0.507896i
\(87\) −29838.3 61998.7i −0.422646 0.878181i
\(88\) 26192.1 21977.7i 0.360548 0.302536i
\(89\) 35695.2 + 61825.9i 0.477678 + 0.827362i 0.999673 0.0255865i \(-0.00814533\pi\)
−0.521995 + 0.852949i \(0.674812\pi\)
\(90\) 58720.2 + 32014.5i 0.764154 + 0.416620i
\(91\) 6844.32 11854.7i 0.0866417 0.150068i
\(92\) −5992.27 33983.8i −0.0738111 0.418604i
\(93\) 16524.2 + 165543.i 0.198113 + 1.98474i
\(94\) −8133.90 + 2960.50i −0.0949466 + 0.0345577i
\(95\) −35908.0 + 13069.5i −0.408209 + 0.148576i
\(96\) 33808.0 24293.7i 0.374404 0.269040i
\(97\) −6073.03 34441.8i −0.0655354 0.371670i −0.999883 0.0153063i \(-0.995128\pi\)
0.934347 0.356363i \(-0.115983\pi\)
\(98\) −26034.1 + 45092.3i −0.273827 + 0.474283i
\(99\) −41647.1 + 8397.95i −0.427067 + 0.0861163i
\(100\) −101.933 176.553i −0.00101933 0.00176553i
\(101\) 76822.5 64461.7i 0.749351 0.628780i −0.185981 0.982553i \(-0.559546\pi\)
0.935331 + 0.353774i \(0.115102\pi\)
\(102\) −40491.9 3044.40i −0.385361 0.0289735i
\(103\) −2635.34 + 14945.8i −0.0244762 + 0.138811i −0.994597 0.103811i \(-0.966896\pi\)
0.970121 + 0.242622i \(0.0780075\pi\)
\(104\) −25883.0 21718.4i −0.234656 0.196899i
\(105\) −16979.0 + 66612.8i −0.150293 + 0.589637i
\(106\) −110025. 40045.8i −0.951100 0.346172i
\(107\) 78739.5 0.664864 0.332432 0.943127i \(-0.392131\pi\)
0.332432 + 0.943127i \(0.392131\pi\)
\(108\) −28374.6 + 3534.67i −0.234083 + 0.0291601i
\(109\) 105803. 0.852964 0.426482 0.904496i \(-0.359753\pi\)
0.426482 + 0.904496i \(0.359753\pi\)
\(110\) 45218.0 + 16458.0i 0.356311 + 0.129687i
\(111\) −231553. + 65087.8i −1.78379 + 0.501409i
\(112\) −44030.5 36946.0i −0.331672 0.278306i
\(113\) −19731.4 + 111902.i −0.145365 + 0.824408i 0.821708 + 0.569909i \(0.193022\pi\)
−0.967073 + 0.254499i \(0.918089\pi\)
\(114\) −29821.7 + 43717.4i −0.214916 + 0.315059i
\(115\) 194918. 163555.i 1.37438 1.15324i
\(116\) −16659.1 28854.4i −0.114949 0.199098i
\(117\) 15319.4 + 39089.3i 0.103461 + 0.263993i
\(118\) −91308.9 + 158152.i −0.603682 + 1.04561i
\(119\) −7247.53 41102.8i −0.0469162 0.266075i
\(120\) 154646. + 69824.3i 0.980358 + 0.442643i
\(121\) 122614. 44627.8i 0.761336 0.277104i
\(122\) 203455. 74051.6i 1.23757 0.450438i
\(123\) −78105.2 35265.4i −0.465497 0.210177i
\(124\) 13989.3 + 79337.0i 0.0817034 + 0.463363i
\(125\) 87719.8 151935.i 0.502137 0.869727i
\(126\) 34737.5 + 88637.1i 0.194927 + 0.497381i
\(127\) −91094.0 157780.i −0.501165 0.868043i −0.999999 0.00134563i \(-0.999572\pi\)
0.498834 0.866697i \(-0.333762\pi\)
\(128\) −72494.2 + 60829.9i −0.391091 + 0.328165i
\(129\) 62839.2 92119.8i 0.332473 0.487393i
\(130\) 8257.34 46829.7i 0.0428530 0.243032i
\(131\) −88312.2 74102.7i −0.449617 0.377273i 0.389677 0.920952i \(-0.372587\pi\)
−0.839294 + 0.543678i \(0.817031\pi\)
\(132\) −19805.5 + 5567.19i −0.0989353 + 0.0278100i
\(133\) −51113.4 18603.7i −0.250556 0.0911951i
\(134\) −207856. −0.999999
\(135\) −127182. 168159.i −0.600608 0.794121i
\(136\) −103020. −0.477609
\(137\) −106354. 38709.6i −0.484118 0.176205i 0.0884191 0.996083i \(-0.471819\pi\)
−0.572537 + 0.819879i \(0.694041\pi\)
\(138\) 87036.1 341463.i 0.389047 1.52632i
\(139\) −26623.6 22339.8i −0.116877 0.0980715i 0.582476 0.812848i \(-0.302084\pi\)
−0.699353 + 0.714776i \(0.746528\pi\)
\(140\) −5780.39 + 32782.2i −0.0249251 + 0.141357i
\(141\) 27210.7 + 2045.85i 0.115264 + 0.00866614i
\(142\) −95141.5 + 79833.2i −0.395958 + 0.332248i
\(143\) 15103.6 + 26160.2i 0.0617647 + 0.106980i
\(144\) 172810. 34846.4i 0.694484 0.140040i
\(145\) 122837. 212760.i 0.485186 0.840367i
\(146\) 35225.0 + 199771.i 0.136763 + 0.775622i
\(147\) 133298. 95785.0i 0.508779 0.365598i
\(148\) −109449. + 39836.0i −0.410729 + 0.149493i
\(149\) 299028. 108837.i 1.10343 0.401616i 0.274852 0.961487i \(-0.411371\pi\)
0.828580 + 0.559870i \(0.189149\pi\)
\(150\) −206.773 2071.49i −0.000750352 0.00751718i
\(151\) 93234.6 + 528760.i 0.332763 + 1.88719i 0.448290 + 0.893888i \(0.352033\pi\)
−0.115527 + 0.993304i \(0.536856\pi\)
\(152\) −67130.3 + 116273.i −0.235673 + 0.408197i
\(153\) 112391. + 61276.1i 0.388153 + 0.211623i
\(154\) 34248.2 + 59319.7i 0.116369 + 0.201557i
\(155\) −455046. + 381829.i −1.52134 + 1.27655i
\(156\) 8816.52 + 18319.1i 0.0290059 + 0.0602689i
\(157\) −55821.4 + 316579.i −0.180739 + 1.02502i 0.750570 + 0.660791i \(0.229779\pi\)
−0.931309 + 0.364230i \(0.881332\pi\)
\(158\) −268803. 225553.i −0.856627 0.718795i
\(159\) 264171. + 257791.i 0.828689 + 0.808676i
\(160\) 139683. + 50840.4i 0.431363 + 0.157003i
\(161\) 362193. 1.10122
\(162\) −278931. 86337.6i −0.835045 0.258471i
\(163\) −107839. −0.317911 −0.158956 0.987286i \(-0.550813\pi\)
−0.158956 + 0.987286i \(0.550813\pi\)
\(164\) −38995.5 14193.2i −0.113215 0.0412070i
\(165\) −108569. 105947.i −0.310452 0.302955i
\(166\) 238373. + 200019.i 0.671408 + 0.563378i
\(167\) −58111.5 + 329567.i −0.161239 + 0.914434i 0.791618 + 0.611016i \(0.209239\pi\)
−0.952858 + 0.303418i \(0.901872\pi\)
\(168\) 104742. + 217636.i 0.286318 + 0.594918i
\(169\) −261560. + 219475.i −0.704457 + 0.591110i
\(170\) −72493.5 125562.i −0.192388 0.333225i
\(171\) 142396. 86921.0i 0.372399 0.227318i
\(172\) 26999.2 46763.9i 0.0695872 0.120529i
\(173\) −8344.79 47325.7i −0.0211983 0.120221i 0.972372 0.233435i \(-0.0749966\pi\)
−0.993571 + 0.113214i \(0.963886\pi\)
\(174\) −33793.3 338549.i −0.0846171 0.847711i
\(175\) 2010.71 731.838i 0.00496311 0.00180643i
\(176\) 119189. 43381.2i 0.290037 0.105565i
\(177\) 467513. 335945.i 1.12166 0.806001i
\(178\) 61300.3 + 347651.i 0.145015 + 0.822420i
\(179\) 174243. 301798.i 0.406465 0.704019i −0.588025 0.808842i \(-0.700094\pi\)
0.994491 + 0.104824i \(0.0334278\pi\)
\(180\) −67518.3 76582.9i −0.155325 0.176178i
\(181\) −63151.2 109381.i −0.143280 0.248168i 0.785450 0.618925i \(-0.212432\pi\)
−0.928730 + 0.370757i \(0.879098\pi\)
\(182\) 51852.2 43509.1i 0.116035 0.0973648i
\(183\) −680628. 51173.3i −1.50239 0.112958i
\(184\) 155242. 880424.i 0.338038 1.91711i
\(185\) −657892. 552037.i −1.41327 1.18587i
\(186\) −203190. + 797164.i −0.430646 + 1.68953i
\(187\) 86547.7 + 31500.8i 0.180989 + 0.0658745i
\(188\) 13213.7 0.0272665
\(189\) 15179.4 299734.i 0.0309101 0.610354i
\(190\) −188955. −0.379729
\(191\) −611053. 222405.i −1.21198 0.441125i −0.344590 0.938753i \(-0.611982\pi\)
−0.867390 + 0.497629i \(0.834204\pi\)
\(192\) 546562. 153635.i 1.07001 0.300771i
\(193\) 112492. + 94392.1i 0.217385 + 0.182407i 0.744977 0.667090i \(-0.232461\pi\)
−0.527592 + 0.849498i \(0.676905\pi\)
\(194\) 30030.1 170309.i 0.0572866 0.324888i
\(195\) −84475.6 + 123838.i −0.159091 + 0.233221i
\(196\) 60888.8 51091.8i 0.113213 0.0949972i
\(197\) 291030. + 504079.i 0.534284 + 0.925407i 0.999198 + 0.0400512i \(0.0127521\pi\)
−0.464913 + 0.885356i \(0.653915\pi\)
\(198\) −207721. 31412.8i −0.376546 0.0569434i
\(199\) 349885. 606018.i 0.626314 1.08481i −0.361971 0.932189i \(-0.617896\pi\)
0.988285 0.152619i \(-0.0487707\pi\)
\(200\) −917.135 5201.33i −0.00162128 0.00919475i
\(201\) 597206. + 269645.i 1.04264 + 0.470763i
\(202\) 465986. 169605.i 0.803515 0.292456i
\(203\) 328615. 119606.i 0.559690 0.203710i
\(204\) 56495.7 + 25508.4i 0.0950473 + 0.0429149i
\(205\) −53134.4 301340.i −0.0883062 0.500809i
\(206\) −37522.3 + 64990.5i −0.0616057 + 0.106704i
\(207\) −693041. + 868175.i −1.12417 + 1.40826i
\(208\) −62670.7 108549.i −0.100440 0.173967i
\(209\) 91950.1 77155.3i 0.145608 0.122180i
\(210\) −191553. + 280810.i −0.299738 + 0.439404i
\(211\) −28592.5 + 162156.i −0.0442126 + 0.250742i −0.998901 0.0468641i \(-0.985077\pi\)
0.954689 + 0.297607i \(0.0961883\pi\)
\(212\) 136921. + 114890.i 0.209233 + 0.175568i
\(213\) 376924. 105950.i 0.569252 0.160013i
\(214\) 365873. + 133167.i 0.546130 + 0.198775i
\(215\) 398159. 0.587436
\(216\) −722091. 165370.i −1.05307 0.241169i
\(217\) −845559. −1.21897
\(218\) 491626. + 178937.i 0.700638 + 0.255012i
\(219\) 157950. 619674.i 0.222540 0.873078i
\(220\) −56271.8 47217.6i −0.0783852 0.0657730i
\(221\) 15804.6 89632.5i 0.0217673 0.123448i
\(222\) −1.18602e6 89171.3i −1.61514 0.121435i
\(223\) −605116. + 507752.i −0.814847 + 0.683738i −0.951759 0.306845i \(-0.900727\pi\)
0.136912 + 0.990583i \(0.456282\pi\)
\(224\) 105796. + 183244.i 0.140880 + 0.244012i
\(225\) −2093.19 + 6220.00i −0.00275647 + 0.00819094i
\(226\) −280937. + 486597.i −0.365879 + 0.633722i
\(227\) 203576. + 1.15453e6i 0.262217 + 1.48711i 0.776844 + 0.629693i \(0.216819\pi\)
−0.514627 + 0.857414i \(0.672069\pi\)
\(228\) 65604.2 47141.9i 0.0835785 0.0600579i
\(229\) 188581. 68638.0i 0.237635 0.0864920i −0.220458 0.975397i \(-0.570755\pi\)
0.458093 + 0.888905i \(0.348533\pi\)
\(230\) 1.18232e6 430330.i 1.47372 0.536392i
\(231\) −21447.5 214865.i −0.0264452 0.264933i
\(232\) −149890. 850066.i −0.182832 1.03689i
\(233\) −293226. + 507882.i −0.353844 + 0.612877i −0.986920 0.161214i \(-0.948459\pi\)
0.633075 + 0.774090i \(0.281792\pi\)
\(234\) 5074.28 + 207542.i 0.00605808 + 0.247780i
\(235\) 48715.9 + 84378.5i 0.0575442 + 0.0996694i
\(236\) 213554. 179193.i 0.249591 0.209432i
\(237\) 479716. + 996763.i 0.554770 + 1.15271i
\(238\) 35837.9 203247.i 0.0410110 0.232585i
\(239\) −969698. 813673.i −1.09810 0.921415i −0.100804 0.994906i \(-0.532141\pi\)
−0.997296 + 0.0734913i \(0.976586\pi\)
\(240\) 450494. + 439614.i 0.504848 + 0.492656i
\(241\) −730630. 265928.i −0.810317 0.294931i −0.0965623 0.995327i \(-0.530785\pi\)
−0.713755 + 0.700396i \(0.753007\pi\)
\(242\) 645218. 0.708220
\(243\) 689416. + 609913.i 0.748972 + 0.662601i
\(244\) −330517. −0.355402
\(245\) 550739. + 200453.i 0.586180 + 0.213352i
\(246\) −303284. 295960.i −0.319530 0.311813i
\(247\) −90865.1 76244.8i −0.0947664 0.0795185i
\(248\) −362421. + 2.05539e6i −0.374183 + 2.12210i
\(249\) −425409. 883923.i −0.434819 0.903475i
\(250\) 664559. 557631.i 0.672487 0.564283i
\(251\) 19661.3 + 34054.3i 0.0196982 + 0.0341183i 0.875706 0.482844i \(-0.160396\pi\)
−0.856008 + 0.516962i \(0.827063\pi\)
\(252\) −3552.16 145286.i −0.00352363 0.144119i
\(253\) −399632. + 692183.i −0.392517 + 0.679860i
\(254\) −156438. 887204.i −0.152145 0.862858i
\(255\) 45398.1 + 454807.i 0.0437207 + 0.438003i
\(256\) 655449. 238564.i 0.625085 0.227512i
\(257\) −102923. + 37460.9i −0.0972030 + 0.0353790i −0.390164 0.920745i \(-0.627582\pi\)
0.292961 + 0.956124i \(0.405359\pi\)
\(258\) 447787. 321771.i 0.418815 0.300952i
\(259\) −212282. 1.20391e6i −0.196637 1.11518i
\(260\) −36295.4 + 62865.4i −0.0332980 + 0.0576738i
\(261\) −342095. + 1.01655e6i −0.310846 + 0.923692i
\(262\) −285029. 493685.i −0.256529 0.444321i
\(263\) −2656.58 + 2229.13i −0.00236828 + 0.00198722i −0.643971 0.765050i \(-0.722714\pi\)
0.641603 + 0.767037i \(0.278270\pi\)
\(264\) −531490. 39960.2i −0.469337 0.0352873i
\(265\) −228856. + 1.29791e6i −0.200193 + 1.13535i
\(266\) −206042. 172889.i −0.178546 0.149818i
\(267\) 274872. 1.07839e6i 0.235967 0.925756i
\(268\) 298167. + 108524.i 0.253584 + 0.0922971i
\(269\) −191888. −0.161684 −0.0808421 0.996727i \(-0.525761\pi\)
−0.0808421 + 0.996727i \(0.525761\pi\)
\(270\) −306570. 996469.i −0.255930 0.831868i
\(271\) 2.10473e6 1.74090 0.870449 0.492259i \(-0.163829\pi\)
0.870449 + 0.492259i \(0.163829\pi\)
\(272\) −359120. 130709.i −0.294318 0.107123i
\(273\) −205424. + 57743.1i −0.166818 + 0.0468914i
\(274\) −428719. 359738.i −0.344982 0.289474i
\(275\) −819.943 + 4650.13i −0.000653810 + 0.00370794i
\(276\) −303134. + 444383.i −0.239531 + 0.351144i
\(277\) −913209. + 766273.i −0.715107 + 0.600046i −0.926027 0.377458i \(-0.876798\pi\)
0.210920 + 0.977503i \(0.432354\pi\)
\(278\) −85928.0 148832.i −0.0666841 0.115500i
\(279\) 1.61794e6 2.02680e6i 1.24438 1.55884i
\(280\) −431198. + 746856.i −0.328686 + 0.569301i
\(281\) −355898. 2.01840e6i −0.268881 1.52490i −0.757753 0.652542i \(-0.773703\pi\)
0.488872 0.872355i \(-0.337408\pi\)
\(282\) 122978. + 55526.0i 0.0920884 + 0.0415790i
\(283\) −334139. + 121617.i −0.248005 + 0.0902665i −0.463032 0.886342i \(-0.653238\pi\)
0.215027 + 0.976608i \(0.431016\pi\)
\(284\) 178161. 64845.4i 0.131074 0.0477071i
\(285\) 542901. + 245126.i 0.395921 + 0.178763i
\(286\) 25937.8 + 147100.i 0.0187507 + 0.106341i
\(287\) 217780. 377207.i 0.156068 0.270318i
\(288\) −641672. 97037.2i −0.455860 0.0689378i
\(289\) 571175. + 989304.i 0.402277 + 0.696763i
\(290\) 930604. 780869.i 0.649785 0.545235i
\(291\) −307220. + 450372.i −0.212675 + 0.311773i
\(292\) 53772.8 304961.i 0.0369067 0.209308i
\(293\) −1.62834e6 1.36634e6i −1.10809 0.929798i −0.110148 0.993915i \(-0.535132\pi\)
−0.997942 + 0.0641175i \(0.979577\pi\)
\(294\) 781379. 219640.i 0.527222 0.148198i
\(295\) 1.93160e6 + 703045.i 1.29230 + 0.470357i
\(296\) −3.01747e6 −2.00177
\(297\) 556070. + 359726.i 0.365795 + 0.236636i
\(298\) 1.57354e6 1.02645
\(299\) 742199. + 270138.i 0.480112 + 0.174746i
\(300\) −784.935 + 3079.49i −0.000503536 + 0.00197549i
\(301\) 434164. + 364307.i 0.276209 + 0.231767i
\(302\) −461030. + 2.61463e6i −0.290879 + 1.64966i
\(303\) −1.55888e6 117205.i −0.975454 0.0733399i
\(304\) −381537. + 320147.i −0.236784 + 0.198685i
\(305\) −1.21854e6 2.11058e6i −0.750052 1.29913i
\(306\) 418607. + 474807.i 0.255566 + 0.289877i
\(307\) 765940. 1.32665e6i 0.463820 0.803359i −0.535328 0.844644i \(-0.679812\pi\)
0.999147 + 0.0412854i \(0.0131453\pi\)
\(308\) −18157.2 102975.i −0.0109062 0.0618521i
\(309\) 192119. 138053.i 0.114465 0.0822524i
\(310\) −2.76019e6 + 1.00463e6i −1.63130 + 0.593746i
\(311\) 1.27935e6 465644.i 0.750044 0.272994i 0.0614200 0.998112i \(-0.480437\pi\)
0.688624 + 0.725118i \(0.258215\pi\)
\(312\) 52314.3 + 524096.i 0.0304252 + 0.304806i
\(313\) −146004. 828032.i −0.0842374 0.477734i −0.997519 0.0704043i \(-0.977571\pi\)
0.913281 0.407330i \(-0.133540\pi\)
\(314\) −794790. + 1.37662e6i −0.454913 + 0.787932i
\(315\) 914653. 558319.i 0.519374 0.317034i
\(316\) 267832. + 463898.i 0.150884 + 0.261339i
\(317\) −829886. + 696357.i −0.463842 + 0.389210i −0.844542 0.535489i \(-0.820127\pi\)
0.380700 + 0.924699i \(0.375683\pi\)
\(318\) 791519. + 1.64463e6i 0.438928 + 0.912014i
\(319\) −134005. + 759981.i −0.0737301 + 0.418144i
\(320\) 1.55290e6 + 1.30304e6i 0.847753 + 0.711349i
\(321\) −878465. 857249.i −0.475841 0.464349i
\(322\) 1.68298e6 + 612554.i 0.904563 + 0.329234i
\(323\) −361662. −0.192884
\(324\) 355046. + 269484.i 0.187898 + 0.142617i
\(325\) 4666.14 0.00245047
\(326\) −501087. 182381.i −0.261137 0.0950463i
\(327\) −1.18040e6 1.15189e6i −0.610463 0.595720i
\(328\) −823573. 691060.i −0.422686 0.354676i
\(329\) −24083.2 + 136583.i −0.0122666 + 0.0695674i
\(330\) −325298. 675911.i −0.164436 0.341668i
\(331\) 291525. 244618.i 0.146253 0.122721i −0.566726 0.823907i \(-0.691790\pi\)
0.712979 + 0.701186i \(0.247346\pi\)
\(332\) −237511. 411382.i −0.118260 0.204833i
\(333\) 3.29196e6 + 1.79479e6i 1.62684 + 0.886960i
\(334\) −827397. + 1.43309e6i −0.405834 + 0.702924i
\(335\) 406275. + 2.30410e6i 0.197792 + 1.12173i
\(336\) 88993.9 + 891559.i 0.0430043 + 0.430826i
\(337\) −2.07223e6 + 754229.i −0.993945 + 0.361767i −0.787247 0.616638i \(-0.788494\pi\)
−0.206699 + 0.978405i \(0.566272\pi\)
\(338\) −1.58656e6 + 577459.i −0.755377 + 0.274935i
\(339\) 1.43843e6 1.03363e6i 0.679814 0.488501i
\(340\) 38433.6 + 217968.i 0.0180307 + 0.102257i
\(341\) 932961. 1.61594e6i 0.434488 0.752555i
\(342\) 808667. 163064.i 0.373856 0.0753864i
\(343\) 1.08293e6 + 1.87569e6i 0.497010 + 0.860847i
\(344\) 1.07165e6 899222.i 0.488267 0.409705i
\(345\) −3.95527e6 297379.i −1.78908 0.134512i
\(346\) 41263.7 234018.i 0.0185301 0.105089i
\(347\) 2.85458e6 + 2.39528e6i 1.27268 + 1.06790i 0.994209 + 0.107460i \(0.0342717\pi\)
0.278470 + 0.960445i \(0.410173\pi\)
\(348\) −128284. + 503288.i −0.0567837 + 0.222776i
\(349\) −2.71325e6 987543.i −1.19241 0.434003i −0.331843 0.943335i \(-0.607670\pi\)
−0.860570 + 0.509332i \(0.829893\pi\)
\(350\) 10580.7 0.00461685
\(351\) 254659. 602888.i 0.110329 0.261197i
\(352\) −466928. −0.200860
\(353\) −321299. 116943.i −0.137238 0.0499504i 0.272488 0.962159i \(-0.412153\pi\)
−0.409726 + 0.912209i \(0.634376\pi\)
\(354\) 2.74052e6 770340.i 1.16232 0.326719i
\(355\) 1.07092e6 + 898610.i 0.451011 + 0.378443i
\(356\) 93578.0 530707.i 0.0391335 0.221937i
\(357\) −366635. + 537473.i −0.152252 + 0.223196i
\(358\) 1.32006e6 1.10766e6i 0.544358 0.456771i
\(359\) 42214.1 + 73116.9i 0.0172871 + 0.0299421i 0.874540 0.484954i \(-0.161164\pi\)
−0.857252 + 0.514896i \(0.827830\pi\)
\(360\) −965132. 2.46265e6i −0.392492 1.00149i
\(361\) 1.00238e6 1.73618e6i 0.404823 0.701174i
\(362\) −108451. 615057.i −0.0434974 0.246686i
\(363\) −1.85383e6 837023.i −0.738418 0.333404i
\(364\) −97097.9 + 35340.8i −0.0384111 + 0.0139805i
\(365\) 2.14563e6 780945.i 0.842990 0.306823i
\(366\) −3.07608e6 1.38888e6i −1.20031 0.541955i
\(367\) −655783. 3.71913e6i −0.254153 1.44137i −0.798237 0.602343i \(-0.794234\pi\)
0.544084 0.839030i \(-0.316877\pi\)
\(368\) 1.65823e6 2.87213e6i 0.638300 1.10557i
\(369\) 487449. + 1.24379e6i 0.186364 + 0.475532i
\(370\) −2.12336e6 3.67776e6i −0.806341 1.39662i
\(371\) −1.43711e6 + 1.20588e6i −0.542070 + 0.454850i
\(372\) 707682. 1.03743e6i 0.265144 0.388690i
\(373\) 75549.4 428462.i 0.0281164 0.159456i −0.967517 0.252806i \(-0.918647\pi\)
0.995633 + 0.0933503i \(0.0297576\pi\)
\(374\) 348880. + 292745.i 0.128972 + 0.108221i
\(375\) −2.63280e6 + 740060.i −0.966805 + 0.271762i
\(376\) 321684. + 117083.i 0.117344 + 0.0427096i
\(377\) 762598. 0.276339
\(378\) 577454. 1.36708e6i 0.207868 0.492113i
\(379\) −721578. −0.258039 −0.129020 0.991642i \(-0.541183\pi\)
−0.129020 + 0.991642i \(0.541183\pi\)
\(380\) 271054. + 98655.5i 0.0962934 + 0.0350479i
\(381\) −701471. + 2.75204e6i −0.247570 + 0.971275i
\(382\) −2.46320e6 2.06687e6i −0.863656 0.724693i
\(383\) −115194. + 653298.i −0.0401266 + 0.227570i −0.998276 0.0587005i \(-0.981304\pi\)
0.958149 + 0.286270i \(0.0924154\pi\)
\(384\) 1.47105e6 + 110602.i 0.509097 + 0.0382766i
\(385\) 590623. 495591.i 0.203076 0.170401i
\(386\) 363070. + 628856.i 0.124029 + 0.214824i
\(387\) −1.70400e6 + 343603.i −0.578350 + 0.116622i
\(388\) −131998. + 228628.i −0.0445132 + 0.0770992i
\(389\) 22219.4 + 126012.i 0.00744488 + 0.0422220i 0.988304 0.152497i \(-0.0487315\pi\)
−0.980859 + 0.194719i \(0.937620\pi\)
\(390\) −601966. + 432561.i −0.200406 + 0.144008i
\(391\) 2.26298e6 823656.i 0.748580 0.272461i
\(392\) 1.93503e6 704295.i 0.636024 0.231494i
\(393\) 178495. + 1.78820e6i 0.0582969 + 0.584031i
\(394\) 499793. + 2.83447e6i 0.162200 + 0.919880i
\(395\) −1.97487e6 + 3.42057e6i −0.636862 + 1.10308i
\(396\) 281573. + 153515.i 0.0902305 + 0.0491941i
\(397\) 356265. + 617070.i 0.113448 + 0.196498i 0.917158 0.398523i \(-0.130477\pi\)
−0.803710 + 0.595021i \(0.797144\pi\)
\(398\) 2.65070e6 2.22420e6i 0.838791 0.703829i
\(399\) 367710. + 764034.i 0.115631 + 0.240259i
\(400\) 3402.26 19295.2i 0.00106321 0.00602974i
\(401\) −1.92754e6 1.61740e6i −0.598607 0.502291i 0.292390 0.956299i \(-0.405549\pi\)
−0.890998 + 0.454008i \(0.849994\pi\)
\(402\) 2.31896e6 + 2.26296e6i 0.715696 + 0.698411i
\(403\) −1.73270e6 630652.i −0.531449 0.193431i
\(404\) −757004. −0.230752
\(405\) −411861. + 3.26074e6i −0.124771 + 0.987821i
\(406\) 1.72923e6 0.520641
\(407\) 2.53501e6 + 922667.i 0.758565 + 0.276095i
\(408\) 1.14935e6 + 1.12159e6i 0.341823 + 0.333568i
\(409\) 258069. + 216545.i 0.0762828 + 0.0640089i 0.680132 0.733090i \(-0.261923\pi\)
−0.603849 + 0.797099i \(0.706367\pi\)
\(410\) 262741. 1.49008e6i 0.0771913 0.437774i
\(411\) 765108. + 1.58976e6i 0.223418 + 0.464223i
\(412\) 87757.6 73637.3i 0.0254707 0.0213725i
\(413\) 1.46300e6 + 2.53399e6i 0.422055 + 0.731021i
\(414\) −4.68859e6 + 2.86199e6i −1.34444 + 0.820669i
\(415\) 1.75130e6 3.03334e6i 0.499161 0.864572i
\(416\) 80124.3 + 454408.i 0.0227003 + 0.128740i
\(417\) 53811.2 + 539092.i 0.0151542 + 0.151818i
\(418\) 557746. 203003.i 0.156133 0.0568279i
\(419\) −4.84840e6 + 1.76467e6i −1.34916 + 0.491054i −0.912686 0.408662i \(-0.865996\pi\)
−0.436475 + 0.899716i \(0.643773\pi\)
\(420\) 421395. 302806.i 0.116564 0.0837609i
\(421\) 659377. + 3.73951e6i 0.181313 + 1.02828i 0.930602 + 0.366033i \(0.119284\pi\)
−0.749289 + 0.662243i \(0.769605\pi\)
\(422\) −407103. + 705124.i −0.111282 + 0.192745i
\(423\) −281306. 319072.i −0.0764412 0.0867038i
\(424\) 2.31529e6 + 4.01020e6i 0.625448 + 1.08331i
\(425\) 10898.6 9145.02i 0.00292684 0.00245591i
\(426\) 1.93061e6 + 145154.i 0.515432 + 0.0387529i
\(427\) 602399. 3.41637e6i 0.159887 0.906767i
\(428\) −455313. 382053.i −0.120144 0.100812i
\(429\) 116305. 456294.i 0.0305110 0.119702i
\(430\) 1.85010e6 + 673381.i 0.482530 + 0.175626i
\(431\) 3.99989e6 1.03718 0.518592 0.855022i \(-0.326457\pi\)
0.518592 + 0.855022i \(0.326457\pi\)
\(432\) −2.30735e6 1.49264e6i −0.594845 0.384810i
\(433\) −6.69763e6 −1.71673 −0.858364 0.513041i \(-0.828519\pi\)
−0.858364 + 0.513041i \(0.828519\pi\)
\(434\) −3.92900e6 1.43004e6i −1.00128 0.364438i
\(435\) −3.68679e6 + 1.03633e6i −0.934168 + 0.262588i
\(436\) −611807. 513367.i −0.154134 0.129334i
\(437\) 544996. 3.09082e6i 0.136518 0.774231i
\(438\) 1.78195e6 2.61226e6i 0.443823 0.650627i
\(439\) 617375. 518039.i 0.152893 0.128292i −0.563132 0.826367i \(-0.690404\pi\)
0.716025 + 0.698074i \(0.245959\pi\)
\(440\) −951538. 1.64811e6i −0.234312 0.405840i
\(441\) −2.52997e6 382597.i −0.619469 0.0936796i
\(442\) 225028. 389760.i 0.0547874 0.0948946i
\(443\) −235339. 1.33467e6i −0.0569750 0.323121i 0.942978 0.332856i \(-0.108012\pi\)
−0.999953 + 0.00973492i \(0.996901\pi\)
\(444\) 1.65477e6 + 747149.i 0.398365 + 0.179866i
\(445\) 3.73393e6 1.35904e6i 0.893853 0.325336i
\(446\) −3.67048e6 + 1.33594e6i −0.873746 + 0.318018i
\(447\) −4.52106e6 2.04131e6i −1.07022 0.483215i
\(448\) 501076. + 2.84174e6i 0.117953 + 0.668944i
\(449\) 88201.9 152770.i 0.0206472 0.0357621i −0.855517 0.517774i \(-0.826761\pi\)
0.876164 + 0.482012i \(0.160094\pi\)
\(450\) −20245.8 + 25362.0i −0.00471306 + 0.00590407i
\(451\) 480583. + 832394.i 0.111257 + 0.192703i
\(452\) 657059. 551338.i 0.151272 0.126932i
\(453\) 4.71651e6 6.91422e6i 1.07988 1.58306i
\(454\) −1.00665e6 + 5.70899e6i −0.229213 + 1.29993i
\(455\) −583653. 489743.i −0.132168 0.110902i
\(456\) 2.01483e6 566354.i 0.453760 0.127549i
\(457\) −7.05454e6 2.56764e6i −1.58008 0.575101i −0.604857 0.796334i \(-0.706770\pi\)
−0.975221 + 0.221233i \(0.928992\pi\)
\(458\) 992351. 0.221056
\(459\) −586778. 1.90725e6i −0.130000 0.422548i
\(460\) −1.92071e6 −0.423220
\(461\) 3.51594e6 + 1.27970e6i 0.770529 + 0.280450i 0.697218 0.716859i \(-0.254421\pi\)
0.0733115 + 0.997309i \(0.476643\pi\)
\(462\) 263729. 1.03467e6i 0.0574848 0.225527i
\(463\) 5.17568e6 + 4.34291e6i 1.12206 + 0.941518i 0.998707 0.0508448i \(-0.0161914\pi\)
0.123351 + 0.992363i \(0.460636\pi\)
\(464\) 556039. 3.15346e6i 0.119898 0.679973i
\(465\) 9.23379e6 + 694246.i 1.98038 + 0.148895i
\(466\) −2.22146e6 + 1.86403e6i −0.473886 + 0.397637i
\(467\) 3.42075e6 + 5.92492e6i 0.725821 + 1.25716i 0.958635 + 0.284638i \(0.0918733\pi\)
−0.232814 + 0.972521i \(0.574793\pi\)
\(468\) 101081. 300366.i 0.0213332 0.0633923i
\(469\) −1.66519e6 + 2.88419e6i −0.349567 + 0.605468i
\(470\) 83661.1 + 474466.i 0.0174694 + 0.0990741i
\(471\) 4.06942e6 2.92421e6i 0.845240 0.607373i
\(472\) 6.78672e6 2.47016e6i 1.40218 0.510353i
\(473\) −1.17526e6 + 427761.i −0.241536 + 0.0879121i
\(474\) 543301. + 5.44290e6i 0.111069 + 1.11272i
\(475\) −3219.71 18259.9i −0.000654760 0.00371333i
\(476\) −157527. + 272844.i −0.0318666 + 0.0551946i
\(477\) −140636. 5.75214e6i −0.0283010 1.15753i
\(478\) −3.12972e6 5.42083e6i −0.626520 1.08516i
\(479\) −6.78077e6 + 5.68974e6i −1.35033 + 1.13306i −0.371490 + 0.928437i \(0.621153\pi\)
−0.978841 + 0.204625i \(0.934403\pi\)
\(480\) −1.00488e6 2.08795e6i −0.199072 0.413636i
\(481\) 462922. 2.62536e6i 0.0912316 0.517400i
\(482\) −2.94522e6 2.47133e6i −0.577431 0.484523i
\(483\) −4.04085e6 3.94326e6i −0.788142 0.769108i
\(484\) −925558. 336876.i −0.179593 0.0653666i
\(485\) −1.94659e6 −0.375769
\(486\) 2.17195e6 + 4.00001e6i 0.417119 + 0.768192i
\(487\) 511949. 0.0978148 0.0489074 0.998803i \(-0.484426\pi\)
0.0489074 + 0.998803i \(0.484426\pi\)
\(488\) −8.04636e6 2.92863e6i −1.52950 0.556693i
\(489\) 1.20311e6 + 1.17406e6i 0.227528 + 0.222033i
\(490\) 2.22007e6 + 1.86286e6i 0.417711 + 0.350501i
\(491\) 1.22498e6 6.94722e6i 0.229312 1.30049i −0.624957 0.780659i \(-0.714884\pi\)
0.854269 0.519831i \(-0.174005\pi\)
\(492\) 280534. + 582899.i 0.0522483 + 0.108563i
\(493\) 1.78119e6 1.49459e6i 0.330059 0.276953i
\(494\) −293268. 507956.i −0.0540689 0.0936502i
\(495\) 57798.7 + 2.36401e6i 0.0106024 + 0.433647i
\(496\) −3.87122e6 + 6.70515e6i −0.706551 + 1.22378i
\(497\) 345555. + 1.95974e6i 0.0627518 + 0.355883i
\(498\) −481796. 4.82673e6i −0.0870542 0.872127i
\(499\) −2.71524e6 + 988267.i −0.488154 + 0.177674i −0.574358 0.818604i \(-0.694748\pi\)
0.0862043 + 0.996277i \(0.472526\pi\)
\(500\) −1.24445e6 + 452942.i −0.222614 + 0.0810248i
\(501\) 4.23637e6 3.04417e6i 0.754049 0.541845i
\(502\) 33764.8 + 191489.i 0.00598004 + 0.0339145i
\(503\) 1.76698e6 3.06050e6i 0.311395 0.539351i −0.667270 0.744816i \(-0.732537\pi\)
0.978665 + 0.205465i \(0.0658706\pi\)
\(504\) 1.20087e6 3.56842e6i 0.210581 0.625748i
\(505\) −2.79090e6 4.83399e6i −0.486986 0.843484i
\(506\) −3.02759e6 + 2.54045e6i −0.525678 + 0.441097i
\(507\) 5.30758e6 + 399052.i 0.917015 + 0.0689461i
\(508\) −238811. + 1.35436e6i −0.0410577 + 0.232850i
\(509\) 5.80859e6 + 4.87398e6i 0.993748 + 0.833853i 0.986106 0.166118i \(-0.0531231\pi\)
0.00764170 + 0.999971i \(0.497568\pi\)
\(510\) −558238. + 2.19010e6i −0.0950372 + 0.372854i
\(511\) 3.05420e6 + 1.11164e6i 0.517423 + 0.188326i
\(512\) 6.47740e6 1.09201
\(513\) −2.53498e6 580548.i −0.425286 0.0973969i
\(514\) −541601. −0.0904214
\(515\) 793767. + 288908.i 0.131879 + 0.0479999i
\(516\) −810346. + 227782.i −0.133982 + 0.0376613i
\(517\) −234449. 196726.i −0.0385764 0.0323694i
\(518\) 1.04970e6 5.95316e6i 0.171886 0.974817i
\(519\) −422143. + 618845.i −0.0687925 + 0.100847i
\(520\) −1.44064e6 + 1.20884e6i −0.233639 + 0.196047i
\(521\) −2.45258e6 4.24800e6i −0.395849 0.685630i 0.597360 0.801973i \(-0.296216\pi\)
−0.993209 + 0.116343i \(0.962883\pi\)
\(522\) −3.30881e6 + 4.14496e6i −0.531491 + 0.665801i
\(523\) 608423. 1.05382e6i 0.0972639 0.168466i −0.813287 0.581862i \(-0.802324\pi\)
0.910551 + 0.413396i \(0.135658\pi\)
\(524\) 151113. + 857002.i 0.0240421 + 0.136350i
\(525\) −30400.3 13726.1i −0.00481371 0.00217344i
\(526\) −16114.1 + 5865.06i −0.00253947 + 0.000924290i
\(527\) −5.28303e6 + 1.92287e6i −0.828623 + 0.301594i
\(528\) −1.80204e6 813641.i −0.281306 0.127013i
\(529\) 2.51132e6 + 1.42424e7i 0.390179 + 2.21281i
\(530\) −3.25848e6 + 5.64386e6i −0.503878 + 0.872743i
\(531\) −8.87334e6 1.34188e6i −1.36569 0.206527i
\(532\) 205297. + 355585.i 0.0314488 + 0.0544708i
\(533\) 727607. 610535.i 0.110938 0.0930877i
\(534\) 3.10103e6 4.54599e6i 0.470601 0.689883i
\(535\) 761032. 4.31603e6i 0.114953 0.651928i
\(536\) 6.29718e6 + 5.28396e6i 0.946748 + 0.794416i
\(537\) −5.22969e6 + 1.47003e6i −0.782601 + 0.219983i
\(538\) −891633. 324528.i −0.132810 0.0483389i
\(539\) −1.84100e6 −0.272949
\(540\) −80496.2 + 1.58949e6i −0.0118793 + 0.234570i
\(541\) 4.85060e6 0.712528 0.356264 0.934385i \(-0.384050\pi\)
0.356264 + 0.934385i \(0.384050\pi\)
\(542\) 9.77990e6 + 3.55959e6i 1.43000 + 0.520478i
\(543\) −486297. + 1.90786e6i −0.0707786 + 0.277681i
\(544\) 1.07772e6 + 904318.i 0.156139 + 0.131016i
\(545\) 1.02260e6 5.79948e6i 0.147474 0.836368i
\(546\) −1.05218e6 79108.9i −0.151046 0.0113565i
\(547\) 3.40648e6 2.85838e6i 0.486786 0.408462i −0.366087 0.930581i \(-0.619303\pi\)
0.852873 + 0.522119i \(0.174858\pi\)
\(548\) 427170. + 739880.i 0.0607644 + 0.105247i
\(549\) 7.03636e6 + 7.98103e6i 0.996362 + 1.13013i
\(550\) −11674.4 + 20220.7i −0.00164562 + 0.00285029i
\(551\) −526204. 2.98425e6i −0.0738372 0.418752i
\(552\) −1.13173e7 + 8.13238e6i −1.58087 + 1.13598i
\(553\) −5.28320e6 + 1.92293e6i −0.734656 + 0.267393i
\(554\) −5.53929e6 + 2.01614e6i −0.766796 + 0.279091i
\(555\) 1.32972e6 + 1.33214e7i 0.183243 + 1.83577i
\(556\) 45556.1 + 258361.i 0.00624970 + 0.0354438i
\(557\) 1.28448e6 2.22479e6i 0.175424 0.303844i −0.764884 0.644169i \(-0.777204\pi\)
0.940308 + 0.340324i \(0.110537\pi\)
\(558\) 1.09458e7 6.68147e6i 1.48820 0.908420i
\(559\) 617965. + 1.07035e6i 0.0836440 + 0.144876i
\(560\) −2.45072e6 + 2.05640e6i −0.330236 + 0.277101i
\(561\) −622624. 1.29370e6i −0.0835254 0.173551i
\(562\) 1.75986e6 9.98065e6i 0.235037 1.33296i
\(563\) −1.33722e6 1.12206e6i −0.177800 0.149192i 0.549545 0.835464i \(-0.314801\pi\)
−0.727344 + 0.686273i \(0.759246\pi\)
\(564\) −147420. 143860.i −0.0195146 0.0190433i
\(565\) 5.94310e6 + 2.16311e6i 0.783234 + 0.285074i
\(566\) −1.75830e6 −0.230703
\(567\) −3.43261e6 + 3.17875e6i −0.448401 + 0.415240i
\(568\) 4.91187e6 0.638816
\(569\) −8.28379e6 3.01505e6i −1.07263 0.390404i −0.255468 0.966817i \(-0.582230\pi\)
−0.817158 + 0.576413i \(0.804452\pi\)
\(570\) 2.10809e6 + 2.05718e6i 0.271771 + 0.265207i
\(571\) −7.69634e6 6.45800e6i −0.987857 0.828910i −0.00260075 0.999997i \(-0.500828\pi\)
−0.985256 + 0.171086i \(0.945272\pi\)
\(572\) 39595.3 224556.i 0.00506004 0.0286969i
\(573\) 4.39591e6 + 9.13392e6i 0.559323 + 1.16217i
\(574\) 1.64989e6 1.38442e6i 0.209014 0.175383i
\(575\) 61731.6 + 106922.i 0.00778642 + 0.0134865i
\(576\) −7.77042e6 4.23647e6i −0.975862 0.532045i
\(577\) 6.17493e6 1.06953e7i 0.772134 1.33738i −0.164257 0.986418i \(-0.552523\pi\)
0.936391 0.350958i \(-0.114144\pi\)
\(578\) 980893. + 5.56292e6i 0.122124 + 0.692602i
\(579\) −227368. 2.27781e6i −0.0281859 0.282372i
\(580\) −1.74264e6 + 634270.i −0.215099 + 0.0782896i
\(581\) 4.68511e6 1.70524e6i 0.575810 0.209578i
\(582\) −2.18922e6 + 1.57313e6i −0.267906 + 0.192512i
\(583\) −718879. 4.07697e6i −0.0875960 0.496782i
\(584\) 4.01127e6 6.94772e6i 0.486687 0.842966i
\(585\) 2.29071e6 461911.i 0.276745 0.0558044i
\(586\) −5.25548e6 9.10276e6i −0.632220 1.09504i
\(587\) 4.22298e6 3.54350e6i 0.505853 0.424461i −0.353814 0.935316i \(-0.615116\pi\)
0.859667 + 0.510855i \(0.170671\pi\)
\(588\) −1.23556e6 92895.8i −0.147373 0.0110803i
\(589\) −1.27232e6 + 7.21569e6i −0.151115 + 0.857017i
\(590\) 7.78641e6 + 6.53358e6i 0.920889 + 0.772718i
\(591\) 2.24108e6 8.79230e6i 0.263930 1.03546i
\(592\) −1.05187e7 3.82850e6i −1.23356 0.448978i
\(593\) 4.66785e6 0.545105 0.272553 0.962141i \(-0.412132\pi\)
0.272553 + 0.962141i \(0.412132\pi\)
\(594\) 1.97547e6 + 2.61196e6i 0.229723 + 0.303739i
\(595\) −2.32306e6 −0.269010
\(596\) −2.25723e6 821563.i −0.260291 0.0947382i
\(597\) −1.05013e7 + 2.95185e6i −1.20589 + 0.338968i
\(598\) 2.99186e6 + 2.51047e6i 0.342128 + 0.287079i
\(599\) −434546. + 2.46443e6i −0.0494845 + 0.280640i −0.999502 0.0315562i \(-0.989954\pi\)
0.950017 + 0.312197i \(0.101065\pi\)
\(600\) −46395.6 + 68014.2i −0.00526137 + 0.00771297i
\(601\) −3.12387e6 + 2.62124e6i −0.352783 + 0.296020i −0.801906 0.597450i \(-0.796181\pi\)
0.449124 + 0.893470i \(0.351736\pi\)
\(602\) 1.40127e6 + 2.42707e6i 0.157591 + 0.272955i
\(603\) −3.72712e6 9.51020e6i −0.417426 1.06511i
\(604\) 2.02647e6 3.50995e6i 0.226021 0.391480i
\(605\) −1.26114e6 7.15230e6i −0.140080 0.794433i
\(606\) −7.04533e6 3.18105e6i −0.779327 0.351875i
\(607\) −2.59806e6 + 945616.i −0.286205 + 0.104170i −0.481133 0.876647i \(-0.659775\pi\)
0.194928 + 0.980817i \(0.437553\pi\)
\(608\) 1.72293e6 627096.i 0.189021 0.0687979i
\(609\) −4.96840e6 2.24329e6i −0.542841 0.245099i
\(610\) −2.09263e6 1.18679e7i −0.227703 1.29137i
\(611\) −151220. + 261920.i −0.0163872 + 0.0283835i
\(612\) −352585. 899665.i −0.0380527 0.0970962i
\(613\) 574430. + 994941.i 0.0617427 + 0.106942i 0.895244 0.445575i \(-0.147001\pi\)
−0.833502 + 0.552517i \(0.813668\pi\)
\(614\) 5.80271e6 4.86906e6i 0.621170 0.521223i
\(615\) −2.68794e6 + 3.94041e6i −0.286571 + 0.420101i
\(616\) 470402. 2.66778e6i 0.0499479 0.283269i
\(617\) 1.08923e7 + 9.13973e6i 1.15188 + 0.966541i 0.999762 0.0218210i \(-0.00694640\pi\)
0.152117 + 0.988362i \(0.451391\pi\)
\(618\) 1.12618e6 316562.i 0.118615 0.0333417i
\(619\) 4.86132e6 + 1.76938e6i 0.509950 + 0.185607i 0.584164 0.811636i \(-0.301422\pi\)
−0.0742138 + 0.997242i \(0.523645\pi\)
\(620\) 4.48399e6 0.468474
\(621\) 1.71839e7 2.14063e6i 1.78811 0.222748i
\(622\) 6.73216e6 0.697716
\(623\) 5.31507e6 + 1.93453e6i 0.548642 + 0.199689i
\(624\) −482596. + 1.89334e6i −0.0496161 + 0.194656i
\(625\) −7.41569e6 6.22250e6i −0.759367 0.637184i
\(626\) 721968. 4.09449e6i 0.0736347 0.417603i
\(627\) −1.86585e6 140285.i −0.189543 0.0142509i
\(628\) 1.85887e6 1.55977e6i 0.188083 0.157820i
\(629\) −4.06413e6 7.03927e6i −0.409582 0.709416i
\(630\) 5.19430e6 1.04741e6i 0.521406 0.105139i
\(631\) −4.91051e6 + 8.50526e6i −0.490968 + 0.850382i −0.999946 0.0103979i \(-0.996690\pi\)
0.508978 + 0.860780i \(0.330024\pi\)
\(632\) 2.40980e6 + 1.36667e7i 0.239987 + 1.36104i
\(633\) 2.08442e6 1.49782e6i 0.206764 0.148577i
\(634\) −5.03388e6 + 1.83218e6i −0.497370 + 0.181028i
\(635\) −9.52897e6 + 3.46826e6i −0.937803 + 0.341332i
\(636\) −276743. 2.77247e6i −0.0271290 0.271784i
\(637\) 315913. + 1.79163e6i 0.0308474 + 0.174944i
\(638\) −1.90798e6 + 3.30472e6i −0.185576 + 0.321427i
\(639\) −5.35869e6 2.92158e6i −0.519166 0.283052i
\(640\) 2.63366e6 + 4.56163e6i 0.254161 + 0.440220i
\(641\) 2.91108e6 2.44269e6i 0.279840 0.234813i −0.492055 0.870564i \(-0.663754\pi\)
0.771894 + 0.635751i \(0.219310\pi\)
\(642\) −2.63209e6 5.46901e6i −0.252036 0.523686i
\(643\) −2.43630e6 + 1.38170e7i −0.232383 + 1.31791i 0.615673 + 0.788001i \(0.288884\pi\)
−0.848056 + 0.529906i \(0.822227\pi\)
\(644\) −2.09439e6 1.75740e6i −0.198996 0.166977i
\(645\) −4.44211e6 4.33483e6i −0.420426 0.410272i
\(646\) −1.68051e6 611655.i −0.158438 0.0576667i
\(647\) −1.53989e7 −1.44620 −0.723100 0.690743i \(-0.757284\pi\)
−0.723100 + 0.690743i \(0.757284\pi\)
\(648\) 6.25568e6 + 9.70649e6i 0.585244 + 0.908081i
\(649\) −6.45690e6 −0.601744
\(650\) 21681.8 + 7891.54i 0.00201285 + 0.000732619i
\(651\) 9.43356e6 + 9.20574e6i 0.872415 + 0.851346i
\(652\) 623581. + 523246.i 0.0574479 + 0.0482045i
\(653\) −2.21899e6 + 1.25845e7i −0.203644 + 1.15492i 0.695915 + 0.718124i \(0.254999\pi\)
−0.899559 + 0.436799i \(0.856112\pi\)
\(654\) −3.53676e6 7.34875e6i −0.323341 0.671845i
\(655\) −4.91542e6 + 4.12453e6i −0.447670 + 0.375639i
\(656\) −1.99412e6 3.45393e6i −0.180923 0.313367i
\(657\) −8.50867e6 + 5.19383e6i −0.769039 + 0.469434i
\(658\) −342899. + 593919.i −0.0308746 + 0.0534764i
\(659\) −1.15230e6 6.53504e6i −0.103360 0.586185i −0.991863 0.127313i \(-0.959365\pi\)
0.888502 0.458872i \(-0.151746\pi\)
\(660\) 113736. + 1.13943e6i 0.0101634 + 0.101819i
\(661\) 1.83192e6 666764.i 0.163081 0.0593565i −0.259190 0.965826i \(-0.583455\pi\)
0.422270 + 0.906470i \(0.361233\pi\)
\(662\) 1.76831e6 643614.i 0.156825 0.0570795i
\(663\) −1.15217e6 + 827927.i −0.101796 + 0.0731489i
\(664\) −2.13700e6 1.21195e7i −0.188098 1.06675i
\(665\) −1.51377e6 + 2.62192e6i −0.132741 + 0.229914i
\(666\) 1.22611e7 + 1.39072e7i 1.07114 + 1.21494i
\(667\) 1.00889e7 + 1.74746e7i 0.878074 + 1.52087i
\(668\) 1.93513e6 1.62376e6i 0.167791 0.140793i
\(669\) 1.22790e7 + 923202.i 1.06071 + 0.0797502i
\(670\) −2.00896e6 + 1.13934e7i −0.172896 + 0.980542i
\(671\) 5.86432e6 + 4.92075e6i 0.502818 + 0.421915i
\(672\) 814685. 3.19620e6i 0.0695932 0.273031i
\(673\) 1.24854e7 + 4.54432e6i 1.06259 + 0.386750i 0.813400 0.581705i \(-0.197614\pi\)
0.249188 + 0.968455i \(0.419836\pi\)
\(674\) −1.09044e7 −0.924600
\(675\) 91071.0 46605.1i 0.00769344 0.00393708i
\(676\) 2.57740e6 0.216927
\(677\) 7.00046e6 + 2.54796e6i 0.587023 + 0.213659i 0.618419 0.785848i \(-0.287773\pi\)
−0.0313968 + 0.999507i \(0.509996\pi\)
\(678\) 8.43197e6 2.37016e6i 0.704457 0.198018i
\(679\) −2.12262e6 1.78109e6i −0.176684 0.148256i
\(680\) −995704. + 5.64692e6i −0.0825768 + 0.468316i
\(681\) 1.02984e7 1.50970e7i 0.850946 1.24745i
\(682\) 7.06805e6 5.93080e6i 0.581887 0.488261i
\(683\) −1.58891e6 2.75208e6i −0.130331 0.225740i 0.793473 0.608605i \(-0.208271\pi\)
−0.923804 + 0.382865i \(0.874937\pi\)
\(684\) −1.24516e6 188300.i −0.101762 0.0153890i
\(685\) −3.14976e6 + 5.45554e6i −0.256478 + 0.444233i
\(686\) 1.85974e6 + 1.05471e7i 0.150884 + 0.855705i
\(687\) −2.85120e6 1.28735e6i −0.230481 0.104065i
\(688\) 4.87663e6 1.77495e6i 0.392779 0.142960i
\(689\) −3.84429e6 + 1.39921e6i −0.308509 + 0.112288i
\(690\) −1.78758e7 8.07111e6i −1.42936 0.645372i
\(691\) −2.13192e6 1.20907e7i −0.169854 0.963288i −0.943918 0.330181i \(-0.892890\pi\)
0.774064 0.633107i \(-0.218221\pi\)
\(692\) −181376. + 314152.i −0.0143984 + 0.0249387i
\(693\) −2.09999e6 + 2.63067e6i −0.166106 + 0.208081i
\(694\) 9.21321e6 + 1.59577e7i 0.726127 + 1.25769i
\(695\) −1.48186e6 + 1.24343e6i −0.116371 + 0.0976468i
\(696\) −7.58255e6 + 1.11157e7i −0.593324 + 0.869790i
\(697\) 502889. 2.85203e6i 0.0392094 0.222368i
\(698\) −1.09373e7 9.17750e6i −0.849713 0.712994i
\(699\) 8.80080e6 2.47384e6i 0.681285 0.191504i
\(700\) −15177.9 5524.32i −0.00117076 0.000426122i
\(701\) −1.76379e7 −1.35566 −0.677831 0.735218i \(-0.737080\pi\)
−0.677831 + 0.735218i \(0.737080\pi\)
\(702\) 2.20293e6 2.37071e6i 0.168717 0.181566i
\(703\) −1.05932e7 −0.808421
\(704\) −5.98368e6 2.17788e6i −0.455027 0.165616i
\(705\) 375138. 1.47175e6i 0.0284262 0.111523i
\(706\) −1.29518e6 1.08679e6i −0.0977955 0.0820601i
\(707\) 1.37971e6 7.82473e6i 0.103810 0.588736i
\(708\) −4.33345e6 325812.i −0.324901 0.0244278i
\(709\) −2.48074e6 + 2.08159e6i −0.185339 + 0.155518i −0.730736 0.682660i \(-0.760823\pi\)
0.545398 + 0.838177i \(0.316379\pi\)
\(710\) 3.45642e6 + 5.98669e6i 0.257324 + 0.445698i
\(711\) 5.49992e6 1.63432e7i 0.408021 1.21245i
\(712\) 6.98060e6 1.20908e7i 0.516051 0.893827i
\(713\) −8.47204e6 4.80474e7i −0.624115 3.53953i
\(714\) −2.61261e6 + 1.87737e6i −0.191791 + 0.137818i
\(715\) 1.57992e6 575045.i 0.115577 0.0420666i
\(716\) −2.47193e6 + 899708.i −0.180199 + 0.0655872i
\(717\) 1.95994e6 + 1.96351e7i 0.142379 + 1.42638i
\(718\) 72495.3 + 411141.i 0.00524806 + 0.0297632i
\(719\) −302551. + 524034.i −0.0218261 + 0.0378040i −0.876732 0.480979i \(-0.840281\pi\)
0.854906 + 0.518783i \(0.173615\pi\)
\(720\) −239829. 9.80920e6i −0.0172413 0.705184i
\(721\) 601202. + 1.04131e6i 0.0430707 + 0.0746006i
\(722\) 7.59397e6 6.37210e6i 0.542158 0.454925i
\(723\) 5.25615e6 + 1.09213e7i 0.373957 + 0.777016i
\(724\) −165556. + 938916.i −0.0117381 + 0.0665703i
\(725\) 91317.2 + 76624.2i 0.00645220 + 0.00541404i
\(726\) −7.19844e6 7.02459e6i −0.506870 0.494629i
\(727\) 5.52641e6 + 2.01145e6i 0.387799 + 0.141147i 0.528559 0.848896i \(-0.322732\pi\)
−0.140760 + 0.990044i \(0.544955\pi\)
\(728\) −2.67697e6 −0.187204
\(729\) −1.05131e6 1.43103e7i −0.0732679 0.997312i
\(730\) 1.12907e7 0.784177
\(731\) 3.54111e6 + 1.28886e6i 0.245101 + 0.0892096i
\(732\) 3.68745e6 + 3.59840e6i 0.254360 + 0.248217i
\(733\) 1.54078e7 + 1.29287e7i 1.05921 + 0.888779i 0.994031 0.109095i \(-0.0347953\pi\)
0.0651741 + 0.997874i \(0.479240\pi\)
\(734\) 3.24274e6 1.83905e7i 0.222163 1.25995i
\(735\) −3.96202e6 8.23236e6i −0.270519 0.562090i
\(736\) −9.35251e6 + 7.84769e6i −0.636405 + 0.534007i
\(737\) −3.67462e6 6.36463e6i −0.249197 0.431623i
\(738\) 161459. + 6.60380e6i 0.0109124 + 0.446327i
\(739\) −7.44415e6 + 1.28936e7i −0.501423 + 0.868489i 0.498576 + 0.866846i \(0.333856\pi\)
−0.999999 + 0.00164344i \(0.999477\pi\)
\(740\) 1.12573e6 + 6.38434e6i 0.0755710 + 0.428585i
\(741\) 183655. + 1.83990e6i 0.0122873 + 0.123097i
\(742\) −8.71714e6 + 3.17278e6i −0.581252 + 0.211558i
\(743\) −2.30298e7 + 8.38217e6i −1.53045 + 0.557037i −0.963731 0.266875i \(-0.914009\pi\)
−0.566717 + 0.823913i \(0.691787\pi\)
\(744\) 2.64208e7 1.89855e7i 1.74990 1.25744i
\(745\) −3.07564e6 1.74428e7i −0.203023 1.15140i
\(746\) 1.07568e6 1.86313e6i 0.0707679 0.122574i
\(747\) −4.87730e6 + 1.44931e7i −0.319799 + 0.950296i
\(748\) −347619. 602093.i −0.0227169 0.0393468i
\(749\) 4.77892e6 4.00999e6i 0.311261 0.261179i
\(750\) −1.34852e7 1.01389e6i −0.875398 0.0658171i
\(751\) 1.66509e6 9.44320e6i 0.107730 0.610969i −0.882364 0.470567i \(-0.844049\pi\)
0.990095 0.140402i \(-0.0448395\pi\)
\(752\) 972818. + 816291.i 0.0627317 + 0.0526381i
\(753\) 151402. 593985.i 0.00973069 0.0381758i
\(754\) 3.54351e6 + 1.28973e6i 0.226989 + 0.0826174i
\(755\) 2.98846e7 1.90801
\(756\) −1.54212e6 + 1.65957e6i −0.0981327 + 0.105607i
\(757\) −2.11227e6 −0.133971 −0.0669853 0.997754i \(-0.521338\pi\)
−0.0669853 + 0.997754i \(0.521338\pi\)
\(758\) −3.35291e6