Properties

Label 27.6.e.a.7.3
Level 27
Weight 6
Character 27.7
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 7.3
Character \(\chi\) = 27.7
Dual form 27.6.e.a.4.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-7.30121 + 2.65742i) q^{2} +(-0.728957 + 15.5714i) q^{3} +(21.7323 - 18.2356i) q^{4} +(15.2097 + 86.2586i) q^{5} +(-36.0575 - 115.627i) q^{6} +(-90.4944 - 75.9338i) q^{7} +(14.1040 - 24.4288i) q^{8} +(-241.937 - 22.7018i) q^{9} +O(q^{10})\) \(q+(-7.30121 + 2.65742i) q^{2} +(-0.728957 + 15.5714i) q^{3} +(21.7323 - 18.2356i) q^{4} +(15.2097 + 86.2586i) q^{5} +(-36.0575 - 115.627i) q^{6} +(-90.4944 - 75.9338i) q^{7} +(14.1040 - 24.4288i) q^{8} +(-241.937 - 22.7018i) q^{9} +(-340.275 - 589.373i) q^{10} +(19.6881 - 111.656i) q^{11} +(268.112 + 351.696i) q^{12} +(-178.502 - 64.9696i) q^{13} +(862.507 + 313.927i) q^{14} +(-1354.25 + 173.958i) q^{15} +(-195.701 + 1109.87i) q^{16} +(522.735 + 905.403i) q^{17} +(1826.76 - 477.179i) q^{18} +(1157.44 - 2004.75i) q^{19} +(1903.52 + 1597.24i) q^{20} +(1248.36 - 1353.77i) q^{21} +(152.972 + 867.547i) q^{22} +(-3297.53 + 2766.96i) q^{23} +(370.109 + 237.426i) q^{24} +(-4272.67 + 1555.12i) q^{25} +1475.94 q^{26} +(529.860 - 3750.75i) q^{27} -3351.35 q^{28} +(-4184.88 + 1523.17i) q^{29} +(9425.41 - 4868.93i) q^{30} +(-1590.49 + 1334.58i) q^{31} +(-1363.81 - 7734.53i) q^{32} +(1724.30 + 387.963i) q^{33} +(-6222.63 - 5221.41i) q^{34} +(5173.55 - 8960.85i) q^{35} +(-5671.84 + 3918.51i) q^{36} +(5112.67 + 8855.40i) q^{37} +(-3123.27 + 17712.9i) q^{38} +(1141.79 - 2732.17i) q^{39} +(2321.71 + 845.032i) q^{40} +(-10111.3 - 3680.22i) q^{41} +(-5517.01 + 13201.6i) q^{42} +(-2357.48 + 13369.9i) q^{43} +(-1608.25 - 2785.58i) q^{44} +(-1721.57 - 21214.4i) q^{45} +(16723.0 - 28965.1i) q^{46} +(21534.9 + 18069.9i) q^{47} +(-17139.6 - 3856.38i) q^{48} +(-495.214 - 2808.50i) q^{49} +(27063.0 - 22708.6i) q^{50} +(-14479.4 + 7479.71i) q^{51} +(-5064.03 + 1843.16i) q^{52} -28194.5 q^{53} +(6098.72 + 28793.1i) q^{54} +9930.78 q^{55} +(-3131.30 + 1139.70i) q^{56} +(30373.1 + 19484.4i) q^{57} +(26507.0 - 22242.0i) q^{58} +(1372.87 + 7785.96i) q^{59} +(-26258.9 + 28476.1i) q^{60} +(-8179.48 - 6863.40i) q^{61} +(8065.94 - 13970.6i) q^{62} +(20170.1 + 20425.6i) q^{63} +(12479.4 + 21615.0i) q^{64} +(2889.21 - 16385.5i) q^{65} +(-13620.4 + 1749.58i) q^{66} +(1309.03 + 476.449i) q^{67} +(27870.8 + 10144.1i) q^{68} +(-40681.7 - 53364.2i) q^{69} +(-13960.4 + 79173.3i) q^{70} +(-12237.2 - 21195.5i) q^{71} +(-3966.85 + 5590.04i) q^{72} +(-8112.50 + 14051.3i) q^{73} +(-60861.2 - 51068.6i) q^{74} +(-21100.9 - 67665.0i) q^{75} +(-11403.9 - 64674.6i) q^{76} +(-10260.2 + 8609.30i) q^{77} +(-1075.89 + 22982.4i) q^{78} +(53115.3 - 19332.4i) q^{79} -98712.6 q^{80} +(58018.3 + 10984.8i) q^{81} +83604.8 q^{82} +(35199.8 - 12811.7i) q^{83} +(2442.99 - 52185.2i) q^{84} +(-70148.1 + 58861.3i) q^{85} +(-18317.1 - 103881. i) q^{86} +(-20667.3 - 66274.8i) q^{87} +(-2449.95 - 2055.75i) q^{88} +(-27016.1 + 46793.2i) q^{89} +(68945.3 + 150316. i) q^{90} +(11220.1 + 19433.8i) q^{91} +(-21206.0 + 120265. i) q^{92} +(-19621.8 - 25738.9i) q^{93} +(-205250. - 74704.9i) q^{94} +(190531. + 69347.7i) q^{95} +(121432. - 15598.2i) q^{96} +(-16735.8 + 94913.6i) q^{97} +(11079.0 + 19189.4i) q^{98} +(-7298.07 + 26566.9i) 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 \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{8}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −7.30121 + 2.65742i −1.29068 + 0.469770i −0.893951 0.448164i \(-0.852078\pi\)
−0.396732 + 0.917934i \(0.629856\pi\)
\(3\) −0.728957 + 15.5714i −0.0467626 + 0.998906i
\(4\) 21.7323 18.2356i 0.679135 0.569862i
\(5\) 15.2097 + 86.2586i 0.272080 + 1.54304i 0.748088 + 0.663599i \(0.230972\pi\)
−0.476008 + 0.879441i \(0.657917\pi\)
\(6\) −36.0575 115.627i −0.408901 1.31124i
\(7\) −90.4944 75.9338i −0.698034 0.585720i 0.223180 0.974777i \(-0.428356\pi\)
−0.921214 + 0.389057i \(0.872801\pi\)
\(8\) 14.1040 24.4288i 0.0779141 0.134951i
\(9\) −241.937 22.7018i −0.995627 0.0934229i
\(10\) −340.275 589.373i −1.07604 1.86376i
\(11\) 19.6881 111.656i 0.0490593 0.278229i −0.950403 0.311021i \(-0.899329\pi\)
0.999462 + 0.0327925i \(0.0104400\pi\)
\(12\) 268.112 + 351.696i 0.537481 + 0.705041i
\(13\) −178.502 64.9696i −0.292945 0.106623i 0.191367 0.981519i \(-0.438708\pi\)
−0.484312 + 0.874895i \(0.660930\pi\)
\(14\) 862.507 + 313.927i 1.17609 + 0.428063i
\(15\) −1354.25 + 173.958i −1.55408 + 0.199625i
\(16\) −195.701 + 1109.87i −0.191114 + 1.08386i
\(17\) 522.735 + 905.403i 0.438691 + 0.759836i 0.997589 0.0694012i \(-0.0221088\pi\)
−0.558898 + 0.829237i \(0.688776\pi\)
\(18\) 1826.76 477.179i 1.32893 0.347136i
\(19\) 1157.44 2004.75i 0.735556 1.27402i −0.218923 0.975742i \(-0.570254\pi\)
0.954479 0.298278i \(-0.0964123\pi\)
\(20\) 1903.52 + 1597.24i 1.06410 + 0.892885i
\(21\) 1248.36 1353.77i 0.617721 0.669880i
\(22\) 152.972 + 867.547i 0.0673837 + 0.382152i
\(23\) −3297.53 + 2766.96i −1.29978 + 1.09064i −0.309597 + 0.950868i \(0.600194\pi\)
−0.990183 + 0.139777i \(0.955361\pi\)
\(24\) 370.109 + 237.426i 0.131160 + 0.0841395i
\(25\) −4272.67 + 1555.12i −1.36725 + 0.497639i
\(26\) 1475.94 0.428188
\(27\) 529.860 3750.75i 0.139879 0.990169i
\(28\) −3351.35 −0.807839
\(29\) −4184.88 + 1523.17i −0.924034 + 0.336321i −0.759842 0.650108i \(-0.774724\pi\)
−0.164192 + 0.986428i \(0.552502\pi\)
\(30\) 9425.41 4868.93i 1.91204 0.987712i
\(31\) −1590.49 + 1334.58i −0.297253 + 0.249425i −0.779200 0.626776i \(-0.784374\pi\)
0.481947 + 0.876200i \(0.339930\pi\)
\(32\) −1363.81 7734.53i −0.235439 1.33524i
\(33\) 1724.30 + 387.963i 0.275630 + 0.0620163i
\(34\) −6222.63 5221.41i −0.923160 0.774623i
\(35\) 5173.55 8960.85i 0.713869 1.23646i
\(36\) −5671.84 + 3918.51i −0.729403 + 0.503923i
\(37\) 5112.67 + 8855.40i 0.613964 + 1.06342i 0.990565 + 0.137042i \(0.0437594\pi\)
−0.376601 + 0.926376i \(0.622907\pi\)
\(38\) −3123.27 + 17712.9i −0.350873 + 1.98990i
\(39\) 1141.79 2732.17i 0.120205 0.287638i
\(40\) 2321.71 + 845.032i 0.229434 + 0.0835071i
\(41\) −10111.3 3680.22i −0.939395 0.341912i −0.173468 0.984839i \(-0.555497\pi\)
−0.765927 + 0.642928i \(0.777720\pi\)
\(42\) −5517.01 + 13201.6i −0.482592 + 1.15479i
\(43\) −2357.48 + 13369.9i −0.194436 + 1.10270i 0.718784 + 0.695233i \(0.244699\pi\)
−0.913220 + 0.407467i \(0.866412\pi\)
\(44\) −1608.25 2785.58i −0.125234 0.216912i
\(45\) −1721.57 21214.4i −0.126734 1.56171i
\(46\) 16723.0 28965.1i 1.16525 2.01828i
\(47\) 21534.9 + 18069.9i 1.42199 + 1.19319i 0.950262 + 0.311452i \(0.100815\pi\)
0.471732 + 0.881742i \(0.343629\pi\)
\(48\) −17139.6 3856.38i −1.07374 0.241589i
\(49\) −495.214 2808.50i −0.0294648 0.167103i
\(50\) 27063.0 22708.6i 1.53091 1.28459i
\(51\) −14479.4 + 7479.71i −0.779519 + 0.402679i
\(52\) −5064.03 + 1843.16i −0.259710 + 0.0945266i
\(53\) −28194.5 −1.37872 −0.689358 0.724421i \(-0.742107\pi\)
−0.689358 + 0.724421i \(0.742107\pi\)
\(54\) 6098.72 + 28793.1i 0.284613 + 1.34371i
\(55\) 9930.78 0.442666
\(56\) −3131.30 + 1139.70i −0.133430 + 0.0485646i
\(57\) 30373.1 + 19484.4i 1.23823 + 0.794328i
\(58\) 26507.0 22242.0i 1.03464 0.868167i
\(59\) 1372.87 + 7785.96i 0.0513453 + 0.291194i 0.999658 0.0261430i \(-0.00832254\pi\)
−0.948313 + 0.317337i \(0.897211\pi\)
\(60\) −26258.9 + 28476.1i −0.941668 + 1.02118i
\(61\) −8179.48 6863.40i −0.281450 0.236164i 0.491124 0.871090i \(-0.336586\pi\)
−0.772573 + 0.634925i \(0.781031\pi\)
\(62\) 8065.94 13970.6i 0.266487 0.461569i
\(63\) 20170.1 + 20425.6i 0.640261 + 0.648371i
\(64\) 12479.4 + 21615.0i 0.380843 + 0.659639i
\(65\) 2889.21 16385.5i 0.0848196 0.481036i
\(66\) −13620.4 + 1749.58i −0.384885 + 0.0494396i
\(67\) 1309.03 + 476.449i 0.0356257 + 0.0129667i 0.359772 0.933040i \(-0.382855\pi\)
−0.324146 + 0.946007i \(0.605077\pi\)
\(68\) 27870.8 + 10144.1i 0.730932 + 0.266038i
\(69\) −40681.7 53364.2i −1.02867 1.34936i
\(70\) −13960.4 + 79173.3i −0.340528 + 1.93123i
\(71\) −12237.2 21195.5i −0.288096 0.498997i 0.685259 0.728299i \(-0.259689\pi\)
−0.973355 + 0.229302i \(0.926356\pi\)
\(72\) −3966.85 + 5590.04i −0.0901808 + 0.127082i
\(73\) −8112.50 + 14051.3i −0.178175 + 0.308609i −0.941256 0.337695i \(-0.890353\pi\)
0.763080 + 0.646304i \(0.223686\pi\)
\(74\) −60861.2 51068.6i −1.29200 1.08411i
\(75\) −21100.9 67665.0i −0.433159 1.38903i
\(76\) −11403.9 64674.6i −0.226474 1.28440i
\(77\) −10260.2 + 8609.30i −0.197209 + 0.165478i
\(78\) −1075.89 + 22982.4i −0.0200232 + 0.427719i
\(79\) 53115.3 19332.4i 0.957528 0.348512i 0.184464 0.982839i \(-0.440945\pi\)
0.773064 + 0.634328i \(0.218723\pi\)
\(80\) −98712.6 −1.72444
\(81\) 58018.3 + 10984.8i 0.982544 + 0.186029i
\(82\) 83604.8 1.37308
\(83\) 35199.8 12811.7i 0.560848 0.204132i −0.0460120 0.998941i \(-0.514651\pi\)
0.606860 + 0.794809i \(0.292429\pi\)
\(84\) 2442.99 52185.2i 0.0377766 0.806955i
\(85\) −70148.1 + 58861.3i −1.05310 + 0.883654i
\(86\) −18317.1 103881.i −0.267061 1.51458i
\(87\) −20667.3 66274.8i −0.292743 0.938750i
\(88\) −2449.95 2055.75i −0.0337249 0.0282985i
\(89\) −27016.1 + 46793.2i −0.361532 + 0.626193i −0.988213 0.153083i \(-0.951080\pi\)
0.626681 + 0.779276i \(0.284413\pi\)
\(90\) 68945.3 + 150316.i 0.897219 + 1.95614i
\(91\) 11220.1 + 19433.8i 0.142034 + 0.246010i
\(92\) −21206.0 + 120265.i −0.261209 + 1.48139i
\(93\) −19621.8 25738.9i −0.235251 0.308591i
\(94\) −205250. 74704.9i −2.39587 0.872026i
\(95\) 190531. + 69347.7i 2.16599 + 0.788357i
\(96\) 121432. 15598.2i 1.34479 0.172742i
\(97\) −16735.8 + 94913.6i −0.180600 + 1.02423i 0.750879 + 0.660440i \(0.229630\pi\)
−0.931479 + 0.363795i \(0.881481\pi\)
\(98\) 11079.0 + 19189.4i 0.116530 + 0.201835i
\(99\) −7298.07 + 26566.9i −0.0748377 + 0.272429i
\(100\) −64496.4 + 111711.i −0.644964 + 1.11711i
\(101\) 100721. + 84514.9i 0.982464 + 0.824385i 0.984459 0.175613i \(-0.0561908\pi\)
−0.00199571 + 0.999998i \(0.500635\pi\)
\(102\) 85840.7 93088.9i 0.816945 0.885926i
\(103\) −20044.8 113680.i −0.186169 1.05582i −0.924444 0.381319i \(-0.875470\pi\)
0.738274 0.674501i \(-0.235641\pi\)
\(104\) −4104.72 + 3444.27i −0.0372134 + 0.0312258i
\(105\) 135762. + 87091.5i 1.20172 + 0.770908i
\(106\) 205854. 74924.7i 1.77948 0.647680i
\(107\) 81670.0 0.689609 0.344805 0.938675i \(-0.387945\pi\)
0.344805 + 0.938675i \(0.387945\pi\)
\(108\) −56882.1 91174.9i −0.469263 0.752170i
\(109\) −1699.94 −0.0137047 −0.00685233 0.999977i \(-0.502181\pi\)
−0.00685233 + 0.999977i \(0.502181\pi\)
\(110\) −72506.7 + 26390.3i −0.571342 + 0.207952i
\(111\) −141618. + 73156.2i −1.09096 + 0.563564i
\(112\) 101987. 85577.0i 0.768243 0.644632i
\(113\) 15290.5 + 86716.6i 0.112648 + 0.638861i 0.987888 + 0.155171i \(0.0495927\pi\)
−0.875239 + 0.483690i \(0.839296\pi\)
\(114\) −273538. 61545.6i −1.97131 0.443542i
\(115\) −288829. 242356.i −2.03655 1.70887i
\(116\) −63171.2 + 109416.i −0.435887 + 0.754979i
\(117\) 41711.5 + 19770.9i 0.281703 + 0.133525i
\(118\) −30714.2 53198.6i −0.203065 0.351718i
\(119\) 21446.1 121627.i 0.138829 0.787341i
\(120\) −14850.8 + 35536.2i −0.0941446 + 0.225278i
\(121\) 139259. + 50686.1i 0.864688 + 0.314721i
\(122\) 77959.0 + 28374.8i 0.474206 + 0.172597i
\(123\) 64676.9 154765.i 0.385466 0.922379i
\(124\) −10228.2 + 58006.9i −0.0597371 + 0.338786i
\(125\) −62270.5 107856.i −0.356457 0.617402i
\(126\) −201546. 95531.0i −1.13096 0.536066i
\(127\) −11229.6 + 19450.2i −0.0617810 + 0.107008i −0.895262 0.445541i \(-0.853011\pi\)
0.833481 + 0.552549i \(0.186345\pi\)
\(128\) 43969.4 + 36894.7i 0.237206 + 0.199040i
\(129\) −206470. 46455.3i −1.09240 0.245788i
\(130\) 22448.6 + 127312.i 0.116501 + 0.660711i
\(131\) −64614.5 + 54218.0i −0.328967 + 0.276036i −0.792279 0.610159i \(-0.791105\pi\)
0.463312 + 0.886195i \(0.346661\pi\)
\(132\) 44547.7 23012.2i 0.222531 0.114954i
\(133\) −256970. + 93529.6i −1.25966 + 0.458480i
\(134\) −10823.6 −0.0520729
\(135\) 331594. 11342.9i 1.56593 0.0535662i
\(136\) 29490.5 0.136721
\(137\) 59904.6 21803.5i 0.272684 0.0992487i −0.202059 0.979373i \(-0.564763\pi\)
0.474743 + 0.880125i \(0.342541\pi\)
\(138\) 438837. + 281515.i 1.96158 + 1.25836i
\(139\) 14161.3 11882.8i 0.0621681 0.0521652i −0.611174 0.791496i \(-0.709303\pi\)
0.673342 + 0.739331i \(0.264858\pi\)
\(140\) −50973.1 289083.i −0.219797 1.24653i
\(141\) −297072. + 322156.i −1.25839 + 1.36464i
\(142\) 145672. + 122233.i 0.606255 + 0.508709i
\(143\) −10768.6 + 18651.8i −0.0440373 + 0.0762749i
\(144\) 72543.3 264077.i 0.291535 1.06127i
\(145\) −195037. 337815.i −0.770367 1.33432i
\(146\) 21890.9 124150.i 0.0849928 0.482018i
\(147\) 44093.3 5663.90i 0.168298 0.0216184i
\(148\) 272593. + 99215.9i 1.02297 + 0.372329i
\(149\) −370213. 134747.i −1.36611 0.497224i −0.448173 0.893947i \(-0.647925\pi\)
−0.917938 + 0.396723i \(0.870147\pi\)
\(150\) 333876. + 437963.i 1.21160 + 1.58931i
\(151\) −65677.3 + 372475.i −0.234408 + 1.32940i 0.609448 + 0.792826i \(0.291391\pi\)
−0.843856 + 0.536569i \(0.819720\pi\)
\(152\) −32649.0 56549.8i −0.114620 0.198528i
\(153\) −105915. 230918.i −0.365787 0.797496i
\(154\) 52033.0 90123.9i 0.176798 0.306223i
\(155\) −139309. 116895.i −0.465748 0.390809i
\(156\) −25009.1 80197.7i −0.0822785 0.263846i
\(157\) 86389.7 + 489940.i 0.279713 + 1.58633i 0.723581 + 0.690240i \(0.242495\pi\)
−0.443868 + 0.896092i \(0.646394\pi\)
\(158\) −336431. + 282299.i −1.07215 + 0.899637i
\(159\) 20552.6 439028.i 0.0644723 1.37721i
\(160\) 646427. 235280.i 1.99627 0.726583i
\(161\) 508514. 1.54610
\(162\) −452795. + 73976.7i −1.35554 + 0.221466i
\(163\) 179032. 0.527791 0.263895 0.964551i \(-0.414993\pi\)
0.263895 + 0.964551i \(0.414993\pi\)
\(164\) −286854. + 104406.i −0.832819 + 0.303121i
\(165\) −7239.11 + 154636.i −0.0207002 + 0.442182i
\(166\) −222955. + 187081.i −0.627982 + 0.526939i
\(167\) −21364.3 121163.i −0.0592787 0.336186i 0.940717 0.339193i \(-0.110154\pi\)
−0.999995 + 0.00300698i \(0.999043\pi\)
\(168\) −15464.1 49589.5i −0.0422720 0.135555i
\(169\) −256785. 215468.i −0.691596 0.580318i
\(170\) 355747. 616172.i 0.944101 1.63523i
\(171\) −325540. + 458748.i −0.851362 + 1.19973i
\(172\) 192575. + 333549.i 0.496339 + 0.859684i
\(173\) −4773.55 + 27072.1i −0.0121262 + 0.0687713i −0.990270 0.139157i \(-0.955561\pi\)
0.978144 + 0.207928i \(0.0666720\pi\)
\(174\) 327016. + 428964.i 0.818835 + 1.07411i
\(175\) 504739. + 183710.i 1.24587 + 0.453458i
\(176\) 120072. + 43702.5i 0.292185 + 0.106347i
\(177\) −122239. + 15702.0i −0.293276 + 0.0376722i
\(178\) 72900.7 413440.i 0.172457 0.978054i
\(179\) 85586.8 + 148241.i 0.199652 + 0.345808i 0.948416 0.317030i \(-0.102685\pi\)
−0.748764 + 0.662837i \(0.769352\pi\)
\(180\) −424272. 429645.i −0.976029 0.988391i
\(181\) 317675. 550229.i 0.720753 1.24838i −0.239946 0.970786i \(-0.577130\pi\)
0.960698 0.277594i \(-0.0895370\pi\)
\(182\) −133564. 112073.i −0.298889 0.250798i
\(183\) 112835. 122363.i 0.249067 0.270098i
\(184\) 21085.1 + 119580.i 0.0459126 + 0.260383i
\(185\) −686092. + 575699.i −1.47385 + 1.23671i
\(186\) 211662. + 135782.i 0.448602 + 0.287779i
\(187\) 111386. 40541.1i 0.232930 0.0847796i
\(188\) 797518. 1.64568
\(189\) −332758. + 299188.i −0.677602 + 0.609242i
\(190\) −1.57539e6 −3.16596
\(191\) 599337. 218141.i 1.18874 0.432667i 0.329460 0.944170i \(-0.393133\pi\)
0.859282 + 0.511503i \(0.170911\pi\)
\(192\) −345673. + 178566.i −0.676726 + 0.349580i
\(193\) 54377.3 45628.0i 0.105081 0.0881735i −0.588733 0.808327i \(-0.700373\pi\)
0.693814 + 0.720154i \(0.255929\pi\)
\(194\) −130034. 737458.i −0.248057 1.40680i
\(195\) 253040. + 56933.4i 0.476543 + 0.107221i
\(196\) −61976.8 52004.7i −0.115236 0.0966946i
\(197\) −157256. + 272376.i −0.288697 + 0.500038i −0.973499 0.228691i \(-0.926555\pi\)
0.684802 + 0.728729i \(0.259889\pi\)
\(198\) −17314.8 213365.i −0.0313873 0.386776i
\(199\) 215818. + 373807.i 0.386326 + 0.669136i 0.991952 0.126613i \(-0.0404106\pi\)
−0.605626 + 0.795749i \(0.707077\pi\)
\(200\) −22271.7 + 126309.i −0.0393712 + 0.223285i
\(201\) −8373.21 + 20036.2i −0.0146185 + 0.0349804i
\(202\) −959977. 349403.i −1.65532 0.602488i
\(203\) 494368. + 179935.i 0.841997 + 0.306462i
\(204\) −178275. + 426593.i −0.299927 + 0.717692i
\(205\) 163660. 928163.i 0.271993 1.54255i
\(206\) 448446. + 776731.i 0.736278 + 1.27527i
\(207\) 860611. 594571.i 1.39599 0.964446i
\(208\) 107041. 185400.i 0.171550 0.297134i
\(209\) −201056. 168706.i −0.318383 0.267155i
\(210\) −1.22266e6 275097.i −1.91319 0.430464i
\(211\) −80761.0 458018.i −0.124881 0.708234i −0.981379 0.192083i \(-0.938476\pi\)
0.856498 0.516151i \(-0.172636\pi\)
\(212\) −612732. + 514143.i −0.936334 + 0.785678i
\(213\) 338964. 175100.i 0.511924 0.264447i
\(214\) −596289. + 217032.i −0.890067 + 0.323958i
\(215\) −1.18913e6 −1.75441
\(216\) −84153.1 65844.3i −0.122726 0.0960248i
\(217\) 245269. 0.353585
\(218\) 12411.6 4517.47i 0.0176884 0.00643804i
\(219\) −212884. 136566.i −0.299939 0.192412i
\(220\) 215819. 181094.i 0.300630 0.252259i
\(221\) −34485.8 195579.i −0.0474962 0.269365i
\(222\) 839575. 910467.i 1.14334 1.23989i
\(223\) 600177. + 503609.i 0.808197 + 0.678158i 0.950177 0.311711i \(-0.100902\pi\)
−0.141979 + 0.989870i \(0.545347\pi\)
\(224\) −463896. + 803491.i −0.617732 + 1.06994i
\(225\) 1.06902e6 279245.i 1.40776 0.367730i
\(226\) −342082. 592503.i −0.445511 0.771648i
\(227\) 143736. 815166.i 0.185140 1.04998i −0.740635 0.671907i \(-0.765475\pi\)
0.925775 0.378074i \(-0.123413\pi\)
\(228\) 1.01539e6 130429.i 1.29358 0.166164i
\(229\) 1.05668e6 + 384601.i 1.33155 + 0.484643i 0.907140 0.420829i \(-0.138261\pi\)
0.424406 + 0.905472i \(0.360483\pi\)
\(230\) 2.75284e6 + 1.00195e6i 3.43132 + 1.24890i
\(231\) −126580. 166041.i −0.156075 0.204732i
\(232\) −21814.1 + 123714.i −0.0266084 + 0.150903i
\(233\) 4401.54 + 7623.68i 0.00531147 + 0.00919973i 0.868669 0.495393i \(-0.164976\pi\)
−0.863357 + 0.504593i \(0.831643\pi\)
\(234\) −357084. 33506.3i −0.426315 0.0400025i
\(235\) −1.23114e6 + 2.13241e6i −1.45425 + 2.51884i
\(236\) 171817. + 144172.i 0.200811 + 0.168500i
\(237\) 262313. + 841172.i 0.303354 + 0.972778i
\(238\) 166632. + 945016.i 0.190685 + 1.08143i
\(239\) −555552. + 466164.i −0.629115 + 0.527890i −0.900654 0.434537i \(-0.856912\pi\)
0.271539 + 0.962427i \(0.412467\pi\)
\(240\) 71957.2 1.53709e6i 0.0806392 1.72255i
\(241\) −532606. + 193853.i −0.590695 + 0.214995i −0.620035 0.784574i \(-0.712882\pi\)
0.0293402 + 0.999569i \(0.490659\pi\)
\(242\) −1.15145e6 −1.26389
\(243\) −213342. + 895418.i −0.231771 + 0.972770i
\(244\) −302917. −0.325724
\(245\) 234725. 85432.9i 0.249830 0.0909306i
\(246\) −60944.2 + 1.30184e6i −0.0642089 + 1.37158i
\(247\) −336854. + 282654.i −0.351317 + 0.294790i
\(248\) 10169.9 + 57676.4i 0.0105000 + 0.0595482i
\(249\) 173837. + 557449.i 0.177682 + 0.569780i
\(250\) 741268. + 621998.i 0.750111 + 0.629418i
\(251\) 421665. 730345.i 0.422458 0.731718i −0.573721 0.819051i \(-0.694501\pi\)
0.996179 + 0.0873320i \(0.0278341\pi\)
\(252\) 810817. + 76081.6i 0.804306 + 0.0754706i
\(253\) 244027. + 422667.i 0.239683 + 0.415143i
\(254\) 30302.1 171852.i 0.0294706 0.167136i
\(255\) −865417. 1.13521e6i −0.833442 1.09327i
\(256\) −1.16959e6 425697.i −1.11541 0.405976i
\(257\) −1.08692e6 395605.i −1.02651 0.373619i −0.226759 0.973951i \(-0.572813\pi\)
−0.799751 + 0.600332i \(0.795035\pi\)
\(258\) 1.63093e6 209498.i 1.52541 0.195943i
\(259\) 209756. 1.18959e6i 0.194297 1.10191i
\(260\) −236011. 408782.i −0.216520 0.375024i
\(261\) 1.04706e6 273508.i 0.951413 0.248524i
\(262\) 327684. 567565.i 0.294918 0.510814i
\(263\) −1.17015e6 981876.i −1.04317 0.875321i −0.0508080 0.998708i \(-0.516180\pi\)
−0.992359 + 0.123388i \(0.960624\pi\)
\(264\) 33796.9 36650.6i 0.0298447 0.0323647i
\(265\) −428830. 2.43202e6i −0.375120 2.12741i
\(266\) 1.62765e6 1.36576e6i 1.41045 1.18350i
\(267\) −708943. 454789.i −0.608601 0.390419i
\(268\) 37136.7 13516.6i 0.0315839 0.0114956i
\(269\) −142233. −0.119845 −0.0599225 0.998203i \(-0.519085\pi\)
−0.0599225 + 0.998203i \(0.519085\pi\)
\(270\) −2.39089e6 + 964002.i −1.99595 + 0.804764i
\(271\) 1.42384e6 1.17771 0.588856 0.808238i \(-0.299578\pi\)
0.588856 + 0.808238i \(0.299578\pi\)
\(272\) −1.10718e6 + 402981.i −0.907396 + 0.330265i
\(273\) −310790. + 160546.i −0.252383 + 0.130375i
\(274\) −379435. + 318384.i −0.305324 + 0.256197i
\(275\) 89519.1 + 507688.i 0.0713812 + 0.404823i
\(276\) −1.85724e6 417874.i −1.46756 0.330197i
\(277\) 448182. + 376069.i 0.350958 + 0.294489i 0.801175 0.598431i \(-0.204209\pi\)
−0.450217 + 0.892919i \(0.648653\pi\)
\(278\) −71817.4 + 124391.i −0.0557336 + 0.0965335i
\(279\) 415095. 286777.i 0.319254 0.220563i
\(280\) −145935. 252767.i −0.111241 0.192675i
\(281\) −148657. + 843074.i −0.112310 + 0.636942i 0.875737 + 0.482789i \(0.160376\pi\)
−0.988047 + 0.154153i \(0.950735\pi\)
\(282\) 1.31288e6 3.14157e6i 0.983109 2.35247i
\(283\) −1.61539e6 587956.i −1.19898 0.436394i −0.336113 0.941822i \(-0.609112\pi\)
−0.862869 + 0.505428i \(0.831335\pi\)
\(284\) −652456. 237475.i −0.480016 0.174712i
\(285\) −1.21873e6 + 2.91629e6i −0.888783 + 2.12676i
\(286\) 29058.3 164798.i 0.0210066 0.119134i
\(287\) 635565. + 1.10083e6i 0.455465 + 0.788888i
\(288\) 154368. + 1.90223e6i 0.109667 + 1.35140i
\(289\) 163426. 283061.i 0.115100 0.199359i
\(290\) 2.32172e6 + 1.94816e6i 1.62112 + 1.36028i
\(291\) −1.46574e6 329788.i −1.01467 0.228298i
\(292\) 79929.6 + 453303.i 0.0548593 + 0.311123i
\(293\) −479985. + 402755.i −0.326632 + 0.274077i −0.791326 0.611395i \(-0.790609\pi\)
0.464694 + 0.885471i \(0.346164\pi\)
\(294\) −306883. + 158528.i −0.207064 + 0.106964i
\(295\) −650725. + 236844.i −0.435354 + 0.158456i
\(296\) 288435. 0.191346
\(297\) −408364. 133007.i −0.268631 0.0874953i
\(298\) 3.06108e6 1.99680
\(299\) 768386. 279670.i 0.497052 0.180912i
\(300\) −1.69248e6 1.08573e6i −1.08573 0.696497i
\(301\) 1.22857e6 1.03089e6i 0.781596 0.655837i
\(302\) −510298. 2.89405e6i −0.321964 1.82595i
\(303\) −1.38944e6 + 1.50676e6i −0.869425 + 0.942838i
\(304\) 1.99851e6 + 1.67695e6i 1.24029 + 1.04072i
\(305\) 467619. 809940.i 0.287834 0.498544i
\(306\) 1.38695e6 + 1.40452e6i 0.846755 + 0.857479i
\(307\) −212713. 368430.i −0.128810 0.223105i 0.794406 0.607387i \(-0.207782\pi\)
−0.923216 + 0.384282i \(0.874449\pi\)
\(308\) −65981.6 + 374200.i −0.0396320 + 0.224764i
\(309\) 1.78476e6 229258.i 1.06337 0.136593i
\(310\) 1.32777e6 + 483267.i 0.784724 + 0.285616i
\(311\) 1.35154e6 + 491921.i 0.792371 + 0.288400i 0.706321 0.707891i \(-0.250353\pi\)
0.0860499 + 0.996291i \(0.472576\pi\)
\(312\) −50639.9 66426.9i −0.0294514 0.0386329i
\(313\) 114992. 652151.i 0.0663447 0.376260i −0.933499 0.358580i \(-0.883261\pi\)
0.999844 0.0176796i \(-0.00562788\pi\)
\(314\) −1.93273e6 3.34758e6i −1.10623 1.91605i
\(315\) −1.45510e6 + 2.05051e6i −0.826260 + 1.16436i
\(316\) 801781. 1.38873e6i 0.451687 0.782346i
\(317\) 18344.6 + 15393.0i 0.0102532 + 0.00860349i 0.647900 0.761726i \(-0.275648\pi\)
−0.637647 + 0.770329i \(0.720092\pi\)
\(318\) 1.01662e6 + 3.26005e6i 0.563758 + 1.80783i
\(319\) 87679.9 + 497257.i 0.0482418 + 0.273593i
\(320\) −1.67467e6 + 1.40522e6i −0.914229 + 0.767130i
\(321\) −59533.9 + 1.27172e6i −0.0322479 + 0.688855i
\(322\) −3.71277e6 + 1.35134e6i −1.99553 + 0.726313i
\(323\) 2.42014e6 1.29073
\(324\) 1.46119e6 819272.i 0.773291 0.433576i
\(325\) 863717. 0.453590
\(326\) −1.30715e6 + 475764.i −0.681211 + 0.247940i
\(327\) 1239.19 26470.5i 0.000640865 0.0136897i
\(328\) −232513. + 195101.i −0.119333 + 0.100133i
\(329\) −576669. 3.27045e6i −0.293722 1.66578i
\(330\) −358079. 1.14827e6i −0.181007 0.580442i
\(331\) −1.08389e6 909488.i −0.543768 0.456275i 0.329056 0.944310i \(-0.393269\pi\)
−0.872824 + 0.488035i \(0.837714\pi\)
\(332\) 531345. 920316.i 0.264564 0.458239i
\(333\) −1.03591e6 2.25852e6i −0.511932 1.11612i
\(334\) 477967. + 827864.i 0.234440 + 0.406062i
\(335\) −21187.8 + 120162.i −0.0103151 + 0.0584999i
\(336\) 1.25821e6 + 1.65046e6i 0.608002 + 0.797547i
\(337\) 1.89195e6 + 688612.i 0.907474 + 0.330294i 0.753244 0.657741i \(-0.228488\pi\)
0.154230 + 0.988035i \(0.450710\pi\)
\(338\) 2.44743e6 + 890791.i 1.16525 + 0.424116i
\(339\) −1.36145e6 + 174882.i −0.643429 + 0.0826504i
\(340\) −451112. + 2.55838e6i −0.211635 + 1.20024i
\(341\) 117701. + 203863.i 0.0548141 + 0.0949408i
\(342\) 1.15775e6 4.21451e6i 0.535241 1.94842i
\(343\) −1.16117e6 + 2.01120e6i −0.532917 + 0.923040i
\(344\) 293361. + 246159.i 0.133661 + 0.112155i
\(345\) 3.98437e6 4.32080e6i 1.80224 1.95441i
\(346\) −37089.4 210345.i −0.0166556 0.0944586i
\(347\) 860726. 722235.i 0.383744 0.321999i −0.430426 0.902626i \(-0.641637\pi\)
0.814170 + 0.580626i \(0.197192\pi\)
\(348\) −1.65771e6 1.06342e6i −0.733770 0.470715i
\(349\) −1.95448e6 + 711371.i −0.858948 + 0.312631i −0.733683 0.679492i \(-0.762200\pi\)
−0.125265 + 0.992123i \(0.539978\pi\)
\(350\) −4.17340e6 −1.82104
\(351\) −338266. + 635094.i −0.146552 + 0.275150i
\(352\) −890462. −0.383053
\(353\) −2.52914e6 + 920532.i −1.08028 + 0.393190i −0.820012 0.572347i \(-0.806033\pi\)
−0.260268 + 0.965536i \(0.583811\pi\)
\(354\) 850766. 439484.i 0.360830 0.186395i
\(355\) 1.64217e6 1.37794e6i 0.691588 0.580311i
\(356\) 266180. + 1.50958e6i 0.111314 + 0.631293i
\(357\) 1.87827e6 + 422607.i 0.779988 + 0.175496i
\(358\) −1.01882e6 854895.i −0.420138 0.352538i
\(359\) −1.84593e6 + 3.19725e6i −0.755926 + 1.30930i 0.188986 + 0.981980i \(0.439480\pi\)
−0.944912 + 0.327323i \(0.893853\pi\)
\(360\) −542524. 257152.i −0.220629 0.104576i
\(361\) −1.44130e6 2.49641e6i −0.582085 1.00820i
\(362\) −857219. + 4.86153e6i −0.343812 + 1.94985i
\(363\) −890767. + 2.13151e6i −0.354811 + 0.849025i
\(364\) 598224. + 217736.i 0.236652 + 0.0861344i
\(365\) −1.33543e6 486057.i −0.524674 0.190966i
\(366\) −498664. + 1.19325e6i −0.194583 + 0.465616i
\(367\) −535359. + 3.03617e6i −0.207482 + 1.17669i 0.686005 + 0.727597i \(0.259363\pi\)
−0.893487 + 0.449090i \(0.851748\pi\)
\(368\) −2.42564e6 4.20134e6i −0.933701 1.61722i
\(369\) 2.36276e6 + 1.11993e6i 0.903344 + 0.428177i
\(370\) 3.47942e6 6.02653e6i 1.32130 2.28857i
\(371\) 2.55144e6 + 2.14091e6i 0.962390 + 0.807541i
\(372\) −895793. 201552.i −0.335622 0.0755143i
\(373\) 262295. + 1.48755e6i 0.0976154 + 0.553605i 0.993914 + 0.110155i \(0.0351346\pi\)
−0.896299 + 0.443450i \(0.853754\pi\)
\(374\) −705516. + 591998.i −0.260812 + 0.218847i
\(375\) 1.72486e6 891017.i 0.633395 0.327196i
\(376\) 745152. 271213.i 0.271816 0.0989330i
\(377\) 845971. 0.306551
\(378\) 1.63447e6 3.06871e6i 0.588366 1.10466i
\(379\) −2.07091e6 −0.740566 −0.370283 0.928919i \(-0.620739\pi\)
−0.370283 + 0.928919i \(0.620739\pi\)
\(380\) 5.40529e6 1.96736e6i 1.92026 0.698917i
\(381\) −294681. 189039.i −0.104002 0.0667174i
\(382\) −3.79619e6 + 3.18538e6i −1.33104 + 1.11687i
\(383\) −469189. 2.66090e6i −0.163437 0.926898i −0.950661 0.310231i \(-0.899594\pi\)
0.787224 0.616667i \(-0.211517\pi\)
\(384\) −606554. + 657771.i −0.209914 + 0.227639i
\(385\) −898680. 754082.i −0.308996 0.259279i
\(386\) −275767. + 477643.i −0.0942051 + 0.163168i
\(387\) 873882. 3.18116e6i 0.296603 1.07971i
\(388\) 1.36710e6 + 2.36788e6i 0.461020 + 0.798511i
\(389\) 103270. 585672.i 0.0346018 0.196237i −0.962607 0.270903i \(-0.912678\pi\)
0.997209 + 0.0746657i \(0.0237890\pi\)
\(390\) −1.99879e6 + 256751.i −0.665436 + 0.0854771i
\(391\) −4.22895e6 1.53921e6i −1.39891 0.509163i
\(392\) −75592.6 27513.5i −0.0248464 0.00904336i
\(393\) −797150. 1.04566e6i −0.260351 0.341515i
\(394\) 424343. 2.40657e6i 0.137713 0.781012i
\(395\) 2.47545e6 + 4.28761e6i 0.798291 + 1.38268i
\(396\) 325859. + 710445.i 0.104422 + 0.227663i
\(397\) −1.93250e6 + 3.34718e6i −0.615378 + 1.06587i 0.374940 + 0.927049i \(0.377663\pi\)
−0.990318 + 0.138817i \(0.955670\pi\)
\(398\) −2.56909e6 2.15572e6i −0.812965 0.682159i
\(399\) −1.26907e6 4.06957e6i −0.399073 1.27972i
\(400\) −889826. 5.04645e6i −0.278071 1.57702i
\(401\) 2.10004e6 1.76214e6i 0.652179 0.547243i −0.255552 0.966795i \(-0.582257\pi\)
0.907731 + 0.419552i \(0.137813\pi\)
\(402\) 7889.97 168539.i 0.00243506 0.0520159i
\(403\) 370613. 134892.i 0.113673 0.0413736i
\(404\) 3.73008e6 1.13701
\(405\) −65092.2 + 5.17165e6i −0.0197193 + 1.56672i
\(406\) −4.08765e6 −1.23072
\(407\) 1.08942e6 396517.i 0.325994 0.118652i
\(408\) −21497.3 + 459208.i −0.00639342 + 0.136571i
\(409\) 2.35410e6 1.97533e6i 0.695853 0.583890i −0.224738 0.974419i \(-0.572152\pi\)
0.920590 + 0.390529i \(0.127708\pi\)
\(410\) 1.27160e6 + 7.21163e6i 0.373588 + 2.11872i
\(411\) 295843. + 948693.i 0.0863888 + 0.277026i
\(412\) −2.50863e6 2.10499e6i −0.728106 0.610953i
\(413\) 466980. 808833.i 0.134717 0.233337i
\(414\) −4.70348e6 + 6.62809e6i −1.34871 + 1.90059i
\(415\) 1.64050e6 + 2.84142e6i 0.467579 + 0.809870i
\(416\) −259067. + 1.46924e6i −0.0733969 + 0.416255i
\(417\) 174709. + 229174.i 0.0492010 + 0.0645395i
\(418\) 1.91627e6 + 697466.i 0.536434 + 0.195246i
\(419\) −1.85402e6 674807.i −0.515916 0.187778i 0.0709230 0.997482i \(-0.477406\pi\)
−0.586839 + 0.809704i \(0.699628\pi\)
\(420\) 4.53858e6 582994.i 1.25544 0.161265i
\(421\) 352225. 1.99757e6i 0.0968535 0.549284i −0.897310 0.441401i \(-0.854482\pi\)
0.994164 0.107883i \(-0.0344071\pi\)
\(422\) 1.80680e6 + 3.12947e6i 0.493889 + 0.855441i
\(423\) −4.79987e6 4.86066e6i −1.30430 1.32082i
\(424\) −397654. + 688756.i −0.107421 + 0.186059i
\(425\) −3.64148e6 3.05557e6i −0.977926 0.820577i
\(426\) −2.00953e6 + 2.17922e6i −0.536502 + 0.581803i
\(427\) 219033. + 1.24220e6i 0.0581353 + 0.329702i
\(428\) 1.77488e6 1.48930e6i 0.468338 0.392982i
\(429\) −282585. 181279.i −0.0741321 0.0475560i
\(430\) 8.68206e6 3.16001e6i 2.26439 0.824171i
\(431\) 6.50918e6 1.68785 0.843924 0.536463i \(-0.180240\pi\)
0.843924 + 0.536463i \(0.180240\pi\)
\(432\) 4.05917e6 + 1.32210e6i 1.04647 + 0.340844i
\(433\) 3.80390e6 0.975010 0.487505 0.873120i \(-0.337907\pi\)
0.487505 + 0.873120i \(0.337907\pi\)
\(434\) −1.79076e6 + 651785.i −0.456367 + 0.166104i
\(435\) 5.40242e6 2.79075e6i 1.36888 0.707128i
\(436\) −36943.7 + 30999.5i −0.00930732 + 0.00780977i
\(437\) 1.73036e6 + 9.81333e6i 0.433443 + 2.45818i
\(438\) 1.91723e6 + 431372.i 0.477516 + 0.107440i
\(439\) 1.91848e6 + 1.60980e6i 0.475112 + 0.398666i 0.848655 0.528946i \(-0.177413\pi\)
−0.373543 + 0.927613i \(0.621857\pi\)
\(440\) 140063. 242597.i 0.0344899 0.0597383i
\(441\) 56052.9 + 690723.i 0.0137247 + 0.169125i
\(442\) 771523. + 1.33632e6i 0.187842 + 0.325352i
\(443\) 702796. 3.98576e6i 0.170145 0.964943i −0.773454 0.633853i \(-0.781473\pi\)
0.943599 0.331090i \(-0.107416\pi\)
\(444\) −1.74364e6 + 4.17234e6i −0.419758 + 1.00444i
\(445\) −4.44722e6 1.61866e6i −1.06461 0.387485i
\(446\) −5.72032e6 2.08203e6i −1.36171 0.495620i
\(447\) 2.36806e6 5.66651e6i 0.560563 1.34137i
\(448\) 511992. 2.90365e6i 0.120523 0.683517i
\(449\) 1.17443e6 + 2.03418e6i 0.274924 + 0.476183i 0.970116 0.242642i \(-0.0780139\pi\)
−0.695192 + 0.718824i \(0.744681\pi\)
\(450\) −7.06307e6 + 4.87967e6i −1.64423 + 1.13595i
\(451\) −609993. + 1.05654e6i −0.141216 + 0.244593i
\(452\) 1.91363e6 + 1.60572e6i 0.440566 + 0.369679i
\(453\) −5.75208e6 1.29421e6i −1.31698 0.296318i
\(454\) 1.11680e6 + 6.33366e6i 0.254293 + 1.44217i
\(455\) −1.50567e6 + 1.26341e6i −0.340959 + 0.286099i
\(456\) 904360. 467169.i 0.203671 0.105211i
\(457\) 7.88409e6 2.86957e6i 1.76588 0.642727i 0.765879 0.642985i \(-0.222304\pi\)
1.00000 0.000257404i \(8.19343e-5\pi\)
\(458\) −8.73712e6 −1.94628
\(459\) 3.67292e6 1.48091e6i 0.813729 0.328093i
\(460\) −1.06964e7 −2.35691
\(461\) −3.23672e6 + 1.17807e6i −0.709338 + 0.258178i −0.671393 0.741102i \(-0.734304\pi\)
−0.0379455 + 0.999280i \(0.512081\pi\)
\(462\) 1.36543e6 + 875924.i 0.297621 + 0.190924i
\(463\) −1.98068e6 + 1.66198e6i −0.429399 + 0.360309i −0.831725 0.555188i \(-0.812646\pi\)
0.402326 + 0.915497i \(0.368202\pi\)
\(464\) −871544. 4.94277e6i −0.187929 1.06580i
\(465\) 1.92176e6 2.08403e6i 0.412161 0.446964i
\(466\) −52395.9 43965.4i −0.0111772 0.00937877i
\(467\) −796002. + 1.37872e6i −0.168897 + 0.292538i −0.938032 0.346548i \(-0.887354\pi\)
0.769135 + 0.639086i \(0.220687\pi\)
\(468\) 1.26702e6 330966.i 0.267405 0.0698504i
\(469\) −82281.5 142516.i −0.0172731 0.0299179i
\(470\) 3.32214e6 1.88408e7i 0.693703 3.93419i
\(471\) −7.69203e6 + 988064.i −1.59768 + 0.205226i
\(472\) 209564. + 76275.2i 0.0432974 + 0.0157590i
\(473\) 1.44642e6 + 526455.i 0.297264 + 0.108195i
\(474\) −4.15055e6 5.44449e6i −0.848516 1.11304i
\(475\) −1.82773e6 + 1.03656e7i −0.371688 + 2.10795i
\(476\) −1.75187e6 3.03432e6i −0.354392 0.613825i
\(477\) 6.82130e6 + 640064.i 1.37269 + 0.128804i
\(478\) 2.81741e6 4.87989e6i 0.564001 0.976879i
\(479\) −4.04762e6 3.39635e6i −0.806048 0.676354i 0.143613 0.989634i \(-0.454128\pi\)
−0.949661 + 0.313280i \(0.898572\pi\)
\(480\) 3.19242e6 + 1.02373e7i 0.632437 + 2.02806i
\(481\) −337292. 1.91288e6i −0.0664727 0.376985i
\(482\) 3.37352e6 2.83072e6i 0.661402 0.554982i
\(483\) −370685. + 7.91828e6i −0.0722998 + 1.54441i
\(484\) 3.95071e6 1.43794e6i 0.766588 0.279015i
\(485\) −8.44166e6 −1.62957
\(486\) −821853. 7.10457e6i −0.157835 1.36442i
\(487\) 1.06650e6 0.203769 0.101884 0.994796i \(-0.467513\pi\)
0.101884 + 0.994796i \(0.467513\pi\)
\(488\) −283027. + 103013.i −0.0537995 + 0.0195814i
\(489\) −130507. + 2.78778e6i −0.0246809 + 0.527213i
\(490\) −1.48674e6 + 1.24753e6i −0.279735 + 0.234725i
\(491\) −200366. 1.13633e6i −0.0375078 0.212717i 0.960294 0.278991i \(-0.0900000\pi\)
−0.997801 + 0.0662739i \(0.978889\pi\)
\(492\) −1.41665e6 4.54282e6i −0.263845 0.846083i
\(493\) −3.56666e6 2.99279e6i −0.660914 0.554573i
\(494\) 1.70831e6 2.95888e6i 0.314956 0.545520i
\(495\) −2.40263e6 225446.i −0.440730 0.0413552i
\(496\) −1.16995e6 2.02641e6i −0.213532 0.369849i
\(497\) −502055. + 2.84730e6i −0.0911718 + 0.517061i
\(498\) −2.75060e6 3.60810e6i −0.496997 0.651936i
\(499\) 8.89097e6 + 3.23605e6i 1.59845 + 0.581787i 0.979108 0.203339i \(-0.0651792\pi\)
0.619337 + 0.785125i \(0.287401\pi\)
\(500\) −3.32010e6 1.20842e6i −0.593917 0.216168i
\(501\) 1.90225e6 244350.i 0.338590 0.0434929i
\(502\) −1.13783e6 + 6.45295e6i −0.201520 + 1.14288i
\(503\) −2.69276e6 4.66399e6i −0.474544 0.821935i 0.525031 0.851083i \(-0.324054\pi\)
−0.999575 + 0.0291482i \(0.990721\pi\)
\(504\) 783450. 204650.i 0.137384 0.0358868i
\(505\) −5.75820e6 + 9.97349e6i −1.00475 + 1.74028i
\(506\) −2.90490e6 2.43750e6i −0.504376 0.423222i
\(507\) 3.54233e6 3.84143e6i 0.612024 0.663702i
\(508\) 110641. + 627477.i 0.0190220 + 0.107879i
\(509\) −593152. + 497714.i −0.101478 + 0.0851501i −0.692115 0.721787i \(-0.743321\pi\)
0.590637 + 0.806937i \(0.298876\pi\)
\(510\) 9.33533e6 + 5.98864e6i 1.58929 + 1.01954i
\(511\) 1.80110e6 655548.i 0.305131 0.111059i
\(512\) 7.83396e6 1.32071
\(513\) −6.90604e6 5.40352e6i −1.15861 0.906533i
\(514\) 8.98709e6 1.50041
\(515\) 9.50097e6 3.45807e6i 1.57852 0.574534i
\(516\) −5.33421e6 + 2.75552e6i −0.881954 + 0.455595i
\(517\) 2.44160e6 2.04875e6i 0.401743 0.337103i
\(518\) 1.62976e6 + 9.24284e6i 0.266870 + 1.51349i
\(519\) −418072. 94065.3i −0.0681290 0.0153289i
\(520\) −359529. 301681.i −0.0583077 0.0489259i
\(521\) −889778. + 1.54114e6i −0.143611 + 0.248741i −0.928854 0.370446i \(-0.879205\pi\)
0.785243 + 0.619188i \(0.212538\pi\)
\(522\) −6.91795e6 + 4.77941e6i −1.11122 + 0.767711i
\(523\) −4.21350e6 7.29800e6i −0.673580 1.16667i −0.976882 0.213780i \(-0.931422\pi\)
0.303302 0.952895i \(-0.401911\pi\)
\(524\) −415527. + 2.35657e6i −0.0661105 + 0.374931i
\(525\) −3.22855e6 + 7.72557e6i −0.511222 + 1.22330i
\(526\) 1.11528e7 + 4.05929e6i 1.75760 + 0.639713i
\(527\) −2.03973e6 742401.i −0.319924 0.116443i
\(528\) −768036. + 1.83783e6i −0.119894 + 0.286893i
\(529\) 2.10001e6 1.19097e7i 0.326273 1.85039i
\(530\) 9.59387e6 + 1.66171e7i 1.48356 + 2.56960i
\(531\) −155395. 1.91488e6i −0.0239166 0.294717i
\(532\) −3.87900e6 + 6.71862e6i −0.594211 + 1.02920i
\(533\) 1.56579e6 + 1.31386e6i 0.238735 + 0.200323i
\(534\) 6.38470e6 + 1.43655e6i 0.968919 + 0.218005i
\(535\) 1.24218e6 + 7.04473e6i 0.187629 + 1.06409i
\(536\) 30101.6 25258.2i 0.00452561 0.00379744i
\(537\) −2.37070e6 + 1.22464e6i −0.354766 + 0.183263i
\(538\) 1.03847e6 377974.i 0.154682 0.0562996i
\(539\) −323337. −0.0479384
\(540\) 6.99946e6 6.29331e6i 1.03295 0.928742i
\(541\) 159877. 0.0234851 0.0117426 0.999931i \(-0.496262\pi\)
0.0117426 + 0.999931i \(0.496262\pi\)
\(542\) −1.03958e7 + 3.78376e6i −1.52005 + 0.553255i
\(543\) 8.33626e6 + 5.34773e6i 1.21331 + 0.778342i
\(544\) 6.28996e6 5.27790e6i 0.911277 0.764653i
\(545\) −25855.7 146635.i −0.00372876 0.0211468i
\(546\) 1.84250e6 1.99808e6i 0.264500 0.286834i
\(547\) −8.75688e6 7.34789e6i −1.25136 1.05001i −0.996548 0.0830209i \(-0.973543\pi\)
−0.254808 0.966992i \(-0.582012\pi\)
\(548\) 904268. 1.56624e6i 0.128631 0.222795i
\(549\) 1.82311e6 + 1.84620e6i 0.258156 + 0.261425i
\(550\) −2.00274e6 3.46885e6i −0.282305 0.488966i
\(551\) −1.79018e6 + 1.01526e7i −0.251199 + 1.42462i
\(552\) −1.87739e6 + 241157.i −0.262245 + 0.0336862i
\(553\) −6.27461e6 2.28377e6i −0.872517 0.317570i
\(554\) −4.27165e6 1.55475e6i −0.591318 0.215222i
\(555\) −8.46431e6 1.11031e7i −1.16643 1.53007i
\(556\) 91069.5 516481.i 0.0124936 0.0708545i
\(557\) −1.59282e6 2.75884e6i −0.217534 0.376781i 0.736519 0.676417i \(-0.236468\pi\)
−0.954054 + 0.299636i \(0.903135\pi\)
\(558\) −2.26861e6 + 3.19690e6i −0.308442 + 0.434654i
\(559\) 1.28945e6 2.23340e6i 0.174532 0.302299i
\(560\) 8.93294e6 + 7.49562e6i 1.20372 + 1.01004i
\(561\) 550086. + 1.76399e6i 0.0737945 + 0.236640i
\(562\) −1.15503e6 6.55050e6i −0.154260 0.874851i
\(563\) −1.78594e6 + 1.49858e6i −0.237463 + 0.199255i −0.753751 0.657160i \(-0.771758\pi\)
0.516289 + 0.856415i \(0.327313\pi\)
\(564\) −581356. + 1.24185e7i −0.0769564 + 1.64388i
\(565\) −7.24749e6 + 2.63787e6i −0.955138 + 0.347642i
\(566\) 1.33568e7 1.75251
\(567\) −4.41621e6 5.39961e6i −0.576889 0.705350i
\(568\) −690374. −0.0897870
\(569\) 8.40501e6 3.05917e6i 1.08832 0.396117i 0.265323 0.964160i \(-0.414521\pi\)
0.822999 + 0.568043i \(0.192299\pi\)
\(570\) 1.14839e6 2.45311e7i 0.148049 3.16250i
\(571\) −6.07464e6 + 5.09723e6i −0.779705 + 0.654250i −0.943174 0.332299i \(-0.892176\pi\)
0.163470 + 0.986548i \(0.447731\pi\)
\(572\) 106100. + 601720.i 0.0135589 + 0.0768962i
\(573\) 2.95987e6 + 9.49153e6i 0.376605 + 1.20767i
\(574\) −7.56576e6 6.34843e6i −0.958458 0.804241i
\(575\) 9.78630e6 1.69504e7i 1.23438 2.13801i
\(576\) −2.52854e6 5.51279e6i −0.317552 0.692333i
\(577\) −5.17724e6 8.96724e6i −0.647379 1.12129i −0.983747 0.179562i \(-0.942532\pi\)
0.336368 0.941731i \(-0.390801\pi\)
\(578\) −440990. + 2.50098e6i −0.0549047 + 0.311380i
\(579\) 670853. + 879992.i 0.0831632 + 0.109089i
\(580\) −1.03989e7 3.78488e6i −1.28356 0.467177i
\(581\) −4.15822e6 1.51347e6i −0.511055 0.186009i
\(582\) 1.15781e7 1.48723e6i 1.41686 0.182000i
\(583\) −555095. + 3.14810e6i −0.0676388 + 0.383598i
\(584\) 228837. + 396357.i 0.0277647 + 0.0480899i
\(585\) −1.07099e6 + 3.89868e6i −0.129388 + 0.471008i
\(586\) 2.43418e6 4.21612e6i 0.292825 0.507188i
\(587\) 3.02660e6 + 2.53962e6i 0.362543 + 0.304210i 0.805804 0.592183i \(-0.201734\pi\)
−0.443260 + 0.896393i \(0.646178\pi\)
\(588\) 854964. 927156.i 0.101978 0.110588i
\(589\) 834595. + 4.73322e6i 0.0991260 + 0.562172i
\(590\) 4.12168e6 3.45850e6i 0.487466 0.409033i
\(591\) −4.12664e6 2.64725e6i −0.485991 0.311764i
\(592\) −1.08289e7 + 3.94140e6i −1.26993 + 0.462218i
\(593\) −5.01185e6 −0.585277 −0.292639 0.956223i \(-0.594533\pi\)
−0.292639 + 0.956223i \(0.594533\pi\)
\(594\) 3.33501e6 114082.i 0.387821 0.0132663i
\(595\) 1.08176e7 1.25267
\(596\) −1.05028e7 + 3.82270e6i −1.21112 + 0.440813i
\(597\) −5.97802e6 + 3.08809e6i −0.686470 + 0.354613i
\(598\) −4.86695e6 + 4.08385e6i −0.556549 + 0.467000i
\(599\) −150458. 853289.i −0.0171336 0.0971693i 0.975042 0.222021i \(-0.0712655\pi\)
−0.992175 + 0.124852i \(0.960154\pi\)
\(600\) −1.95058e6 438876.i −0.221200 0.0497696i
\(601\) 1.26788e7 + 1.06388e7i 1.43184 + 1.20145i 0.944618 + 0.328171i \(0.106432\pi\)
0.487217 + 0.873281i \(0.338012\pi\)
\(602\) −6.23051e6 + 1.07916e7i −0.700701 + 1.21365i
\(603\) −305888. 144988.i −0.0342585 0.0162382i
\(604\) 5.36497e6 + 9.29240e6i 0.598377 + 1.03642i
\(605\) −2.25402e6 + 1.27832e7i −0.250363 + 1.41988i
\(606\) 6.14048e6 1.46935e7i 0.679236 1.62534i
\(607\) −2.87605e6 1.04680e6i −0.316829 0.115316i 0.178711 0.983902i \(-0.442807\pi\)
−0.495539 + 0.868585i \(0.665030\pi\)
\(608\) −1.70843e7 6.21819e6i −1.87430 0.682190i
\(609\) −3.16222e6 + 7.56684e6i −0.345500 + 0.826745i
\(610\) −1.26183e6 + 7.15620e6i −0.137302 + 0.778678i
\(611\) −2.67003e6 4.62463e6i −0.289344 0.501158i
\(612\) −6.51269e6 3.08696e6i −0.702881 0.333160i
\(613\) 7.13829e6 1.23639e7i 0.767261 1.32893i −0.171782 0.985135i \(-0.554952\pi\)
0.939043 0.343800i \(-0.111714\pi\)
\(614\) 2.53214e6 + 2.12472e6i 0.271061 + 0.227447i
\(615\) 1.43335e7 + 3.22501e6i 1.52814 + 0.343830i
\(616\) 65605.6 + 372068.i 0.00696610 + 0.0395067i
\(617\) 7.90763e6 6.63529e6i 0.836244 0.701692i −0.120471 0.992717i \(-0.538441\pi\)
0.956716 + 0.291024i \(0.0939961\pi\)
\(618\) −1.24217e7 + 6.41673e6i −1.30831 + 0.675838i
\(619\) 6.92769e6 2.52147e6i 0.726711 0.264501i 0.0479389 0.998850i \(-0.484735\pi\)
0.678772 + 0.734349i \(0.262512\pi\)
\(620\) −5.15916e6 −0.539014
\(621\) 8.63095e6 + 1.38343e7i 0.898111 + 1.43956i
\(622\) −1.11751e7 −1.15818
\(623\) 5.99799e6 2.18309e6i 0.619135 0.225347i
\(624\) 2.80892e6 + 1.80193e6i 0.288787 + 0.185258i
\(625\) −2.52835e6 + 2.12154e6i −0.258904 + 0.217246i
\(626\) 893462. + 5.06708e6i 0.0911256 + 0.516799i
\(627\) 2.77355e6 3.00774e6i 0.281752 0.305542i
\(628\) 1.08118e7 + 9.07218e6i 1.09395 + 0.917936i
\(629\) −5.34513e6 + 9.25804e6i −0.538681 + 0.933024i
\(630\) 5.17491e6 1.88380e7i 0.519459 1.89097i
\(631\) −3.10981e6 5.38634e6i −0.310928 0.538543i 0.667636 0.744488i \(-0.267306\pi\)
−0.978564 + 0.205945i \(0.933973\pi\)
\(632\) 276869. 1.57020e6i 0.0275729 0.156373i
\(633\) 7.19086e6 923687.i 0.713299 0.0916253i
\(634\) −174844. 63637.9i −0.0172754 0.00628771i
\(635\) −1.84855e6 672816.i −0.181927 0.0662159i
\(636\) −7.55927e6 9.91588e6i −0.741033 0.972050i
\(637\) −94070.1 + 533498.i −0.00918550 + 0.0520936i
\(638\) −1.96159e6 3.39758e6i −0.190791 0.330459i
\(639\) 2.47947e6 + 5.40579e6i 0.240218 + 0.523730i
\(640\) −2.51372e6 + 4.35390e6i −0.242587 + 0.420173i
\(641\) −1.14493e7 9.60714e6i −1.10062 0.923526i −0.103149 0.994666i \(-0.532892\pi\)
−0.997466 + 0.0711401i \(0.977336\pi\)
\(642\) −2.94482e6 9.44327e6i −0.281982 0.904242i
\(643\) −1.02816e6 5.83099e6i −0.0980695 0.556180i −0.993763 0.111509i \(-0.964432\pi\)
0.895694 0.444671i \(-0.146679\pi\)
\(644\) 1.10512e7 9.27305e6i 1.05001 0.881065i
\(645\) 866822. 1.85164e7i 0.0820409 1.75249i
\(646\) −1.76700e7 + 6.43134e6i −1.66592 + 0.606346i
\(647\) 9.02708e6 0.847786 0.423893 0.905712i \(-0.360663\pi\)
0.423893 + 0.905712i \(0.360663\pi\)
\(648\) 1.08663e6 1.26238e6i 0.101659 0.118101i
\(649\) 896382. 0.0835375
\(650\) −6.30618e6 + 2.29526e6i −0.585441 + 0.213083i
\(651\) −178791. + 3.81919e6i −0.0165346 + 0.353198i
\(652\) 3.89078e6 3.26476e6i 0.358441 0.300768i
\(653\) 3.64825e6 + 2.06902e7i 0.334812 + 1.89881i 0.429080 + 0.903267i \(0.358838\pi\)
−0.0942676 + 0.995547i \(0.530051\pi\)
\(654\) 61295.8 + 196560.i 0.00560385 + 0.0179701i
\(655\) −5.65954e6 4.74892e6i −0.515440 0.432505i
\(656\) 6.06337e6 1.05021e7i 0.550116 0.952829i
\(657\) 2.28171e6 3.21536e6i 0.206227 0.290614i
\(658\) 1.29013e7 + 2.23458e7i 1.16164 + 2.01201i
\(659\) −690590. + 3.91653e6i −0.0619451 + 0.351308i 0.938043 + 0.346518i \(0.112636\pi\)
−0.999989 + 0.00479037i \(0.998475\pi\)
\(660\) 2.66256e6 + 3.49261e6i 0.237925 + 0.312098i
\(661\) 1.65156e7 + 6.01120e6i 1.47025 + 0.535128i 0.948169 0.317767i \(-0.102933\pi\)
0.522082 + 0.852895i \(0.325155\pi\)
\(662\) 1.03306e7 + 3.76002e6i 0.916177 + 0.333461i
\(663\) 3.07057e6 394424.i 0.271291 0.0348481i
\(664\) 183483. 1.04058e6i 0.0161501 0.0915917i
\(665\) −1.19762e7 2.07433e7i −1.05018 1.81897i
\(666\) 1.35652e7 + 1.37370e7i 1.18506 + 1.20007i
\(667\) 9.58523e6 1.66021e7i 0.834234 1.44494i
\(668\) −2.67378e6 2.24357e6i −0.231838 0.194535i
\(669\) −8.27940e6 + 8.97850e6i −0.715210 + 0.775601i
\(670\) −164625. 933632.i −0.0141680 0.0803506i
\(671\) −927381. + 778165.i −0.0795155 + 0.0667214i
\(672\) −1.21733e7 7.80922e6i −1.03989 0.667090i
\(673\) −9.67616e6 + 3.52183e6i −0.823503 + 0.299731i −0.719190 0.694814i \(-0.755487\pi\)
−0.104314 + 0.994544i \(0.533265\pi\)
\(674\) −1.56434e7 −1.32642
\(675\) 3.56897e6 + 1.68497e7i 0.301497 + 1.42342i
\(676\) −9.50972e6 −0.800389
\(677\) 1.16732e7 4.24871e6i 0.978857 0.356275i 0.197461 0.980311i \(-0.436730\pi\)
0.781396 + 0.624036i \(0.214508\pi\)
\(678\) 9.47546e6 4.89478e6i 0.791637 0.408940i
\(679\) 8.72165e6 7.31834e6i 0.725979 0.609169i
\(680\) 448542. + 2.54381e6i 0.0371990 + 0.210966i
\(681\) 1.25885e7 + 2.83239e6i 1.04017 + 0.234037i
\(682\) −1.40111e6 1.17567e6i −0.115348 0.0967885i
\(683\) −9.31924e6 + 1.61414e7i −0.764414 + 1.32400i 0.176141 + 0.984365i \(0.443638\pi\)
−0.940556 + 0.339640i \(0.889695\pi\)
\(684\) 1.29079e6 + 1.59061e7i 0.105491 + 1.29994i
\(685\) 2.79187e6 + 4.83566e6i 0.227336 + 0.393758i
\(686\) 3.13332e6 1.77699e7i 0.254211 1.44170i
\(687\) −6.75906e6 + 1.61737e7i −0.546380 + 1.30743i
\(688\) −1.43775e7 5.23300e6i −1.15801 0.421483i
\(689\) 5.03279e6 + 1.83178e6i 0.403888 + 0.147003i
\(690\) −1.76085e7 + 4.21352e7i −1.40799 + 3.36917i
\(691\) −1.92664e6 + 1.09265e7i −0.153499 + 0.870537i 0.806646 + 0.591035i \(0.201281\pi\)
−0.960145 + 0.279502i \(0.909831\pi\)
\(692\) 389936. + 675389.i 0.0309548 + 0.0536153i
\(693\) 2.67776e6 1.84999e6i 0.211806 0.146331i
\(694\) −4.36506e6 + 7.56050e6i −0.344026 + 0.595871i
\(695\) 1.24038e6 + 1.04080e6i 0.0974077 + 0.0817348i
\(696\) −1.91050e6 429859.i −0.149494 0.0336359i
\(697\) −1.95346e6 1.10786e7i −0.152308 0.863779i
\(698\) 1.23796e7 1.03877e7i 0.961765 0.807016i
\(699\) −121920. + 62980.8i −0.00943804 + 0.00487545i
\(700\) 1.43192e7 5.21176e6i 1.10452 0.402013i
\(701\) −5.19782e6 −0.399509 −0.199754 0.979846i \(-0.564014\pi\)
−0.199754 + 0.979846i \(0.564014\pi\)
\(702\) 782039. 5.53587e6i 0.0598943 0.423978i
\(703\) 2.36705e7 1.80642
\(704\) 2.65916e6 967853.i 0.202214 0.0736000i
\(705\) −3.23071e7 2.07251e7i −2.44808 1.57045i
\(706\) 1.60195e7 1.34420e7i 1.20959 1.01497i
\(707\) −2.69714e6 1.52963e7i −0.202934 1.15090i
\(708\) −2.37021e6 + 2.57034e6i −0.177706 + 0.192712i
\(709\) 1.64465e7 + 1.38002e7i 1.22873 + 1.03103i 0.998320 + 0.0579342i \(0.0184514\pi\)
0.230411 + 0.973094i \(0.425993\pi\)
\(710\) −8.32805e6 + 1.44246e7i −0.620008 + 1.07389i
\(711\) −1.32894e7 + 3.47141e6i −0.985899 + 0.257532i
\(712\) 762067. + 1.31994e6i 0.0563369 + 0.0975784i
\(713\) 1.55196e6 8.80162e6i 0.114329 0.648394i
\(714\) −1.48367e7 + 1.90582e6i −1.08916 + 0.139906i
\(715\) −1.77267e6 645199.i −0.129677 0.0471985i
\(716\) 4.56325e6 + 1.66089e6i 0.332653 + 0.121076i
\(717\) −6.85385e6 8.99054e6i −0.497894 0.653112i
\(718\) 4.98109e6 2.82492e7i 0.360590 2.04501i
\(719\) 3.29670e6 + 5.71005e6i 0.237825 + 0.411924i 0.960090 0.279692i \(-0.0902323\pi\)
−0.722265 + 0.691616i \(0.756899\pi\)
\(720\) 2.38823e7 + 2.24095e6i 1.71690 + 0.161102i
\(721\) −6.81819e6 + 1.18094e7i −0.488462 + 0.846041i
\(722\) 1.71572e7 + 1.43966e7i 1.22491 + 1.02782i
\(723\) −2.63031e6 8.43473e6i −0.187138 0.600102i
\(724\) −3.12993e6 1.77507e7i −0.221916 1.25855i
\(725\) 1.55119e7 1.30160e7i 1.09602 0.919671i
\(726\) 839359. 1.79297e7i 0.0591025 1.26250i
\(727\) −1.15906e7 + 4.21862e6i −0.813333 + 0.296029i −0.715000 0.699125i \(-0.753573\pi\)
−0.0983330 + 0.995154i \(0.531351\pi\)
\(728\) 632990. 0.0442658
\(729\) −1.37874e7 3.97475e6i −0.960868 0.277007i
\(730\) 1.10419e7 0.766898
\(731\) −1.33375e7 + 4.85445e6i −0.923168 + 0.336006i
\(732\) 220813. 4.71684e6i 0.0152317 0.325367i
\(733\) −2.03183e7 + 1.70491e7i −1.39678 + 1.17204i −0.434273 + 0.900781i \(0.642995\pi\)
−0.962507 + 0.271257i \(0.912561\pi\)
\(734\) −4.15962e6 2.35904e7i −0.284980 1.61620i
\(735\) 1.15921e6 + 3.71727e6i 0.0791484 + 0.253809i
\(736\) 2.58983e7 + 2.17313e7i 1.76229 + 1.47874i
\(737\) 78970.9 136782.i 0.00535548 0.00927597i
\(738\) −2.02271e7 1.89798e6i −1.36708 0.128277i
\(739\) 2.34196e6 + 4.05640e6i 0.157750 + 0.273231i 0.934057 0.357124i \(-0.116243\pi\)
−0.776307 + 0.630355i \(0.782909\pi\)
\(740\) −4.41215e6 + 2.50226e7i −0.296191 + 1.67978i
\(741\) −4.15577e6 5.45134e6i −0.278039 0.364718i
\(742\) −2.43179e7 8.85100e6i −1.62150 0.590178i
\(743\) 2.19074e7 + 7.97364e6i 1.45586 + 0.529889i 0.944221 0.329313i \(-0.106817\pi\)
0.511637 + 0.859202i \(0.329039\pi\)
\(744\) −905516. + 116316.i −0.0599741 + 0.00770384i
\(745\) 5.99221e6 3.39835e7i 0.395545 2.24325i
\(746\) −5.86812e6 1.01639e7i −0.386058 0.668672i
\(747\) −8.80699e6 + 2.30052e6i −0.577465 + 0.150843i
\(748\) 1.68138e6 2.91224e6i 0.109878 0.190315i
\(749\) −7.39067e6 6.20151e6i −0.481371 0.403918i
\(750\) −1.02257e7 + 1.10892e7i −0.663806 + 0.719857i
\(751\) −1.57050e6 8.90675e6i −0.101610 0.576261i −0.992520 0.122081i \(-0.961043\pi\)
0.890910 0.454180i \(-0.150068\pi\)
\(752\) −2.42697e7 + 2.03647e7i −1.56502 + 1.31321i
\(753\) 1.10651e7 + 7.09831e6i 0.711163 + 0.456213i
\(754\) −6.17661e6 + 2.24810e6i −0.395660 + 0.144008i
\(755\) −3.31281e7 −2.11509
\(756\) −1.77575e6 + 1.25701e7i −0.113000 + 0.799897i
\(757\) −2.68190e7 −1.70099 −0.850496 0.525981i \(-0.823698\pi\)
−0.850496 + 0.525981i \(0.823698\pi\)
\(758\) 1.51202e7