Properties

Label 36.6.h.a.11.16
Level 36
Weight 6
Character 36.11
Analytic conductor 5.774
Analytic rank 0
Dimension 56
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 36 = 2^{2} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 36.h (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.77381751327\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(28\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 11.16
Character \(\chi\) \(=\) 36.11
Dual form 36.6.h.a.23.16

$q$-expansion

\(f(q)\) \(=\) \(q+(0.253656 - 5.65116i) q^{2} +(-2.08778 - 15.4480i) q^{3} +(-31.8713 - 2.86690i) q^{4} +(84.3255 - 48.6853i) q^{5} +(-87.8289 + 7.87989i) q^{6} +(-87.9661 - 50.7872i) q^{7} +(-24.2857 + 179.383i) q^{8} +(-234.282 + 64.5040i) q^{9} +O(q^{10})\) \(q+(0.253656 - 5.65116i) q^{2} +(-2.08778 - 15.4480i) q^{3} +(-31.8713 - 2.86690i) q^{4} +(84.3255 - 48.6853i) q^{5} +(-87.8289 + 7.87989i) q^{6} +(-87.9661 - 50.7872i) q^{7} +(-24.2857 + 179.383i) q^{8} +(-234.282 + 64.5040i) q^{9} +(-253.739 - 488.886i) q^{10} +(-73.2291 + 126.837i) q^{11} +(22.2523 + 498.334i) q^{12} +(402.832 + 697.726i) q^{13} +(-309.320 + 484.228i) q^{14} +(-928.145 - 1201.02i) q^{15} +(1007.56 + 182.744i) q^{16} -1238.37i q^{17} +(305.096 + 1340.33i) q^{18} -2616.12i q^{19} +(-2827.14 + 1309.91i) q^{20} +(-600.908 + 1464.93i) q^{21} +(698.199 + 446.002i) q^{22} +(84.5912 + 146.516i) q^{23} +(2821.81 + 0.654157i) q^{24} +(3178.02 - 5504.50i) q^{25} +(4045.15 - 2099.49i) q^{26} +(1485.59 + 3484.53i) q^{27} +(2657.99 + 1870.85i) q^{28} +(1952.82 + 1127.46i) q^{29} +(-7022.57 + 4940.45i) q^{30} +(1787.03 - 1031.74i) q^{31} +(1288.29 - 5647.54i) q^{32} +(2112.26 + 866.438i) q^{33} +(-6998.21 - 314.119i) q^{34} -9890.37 q^{35} +(7651.81 - 1384.16i) q^{36} +445.632 q^{37} +(-14784.1 - 663.594i) q^{38} +(9937.46 - 7679.66i) q^{39} +(6685.41 + 16308.9i) q^{40} +(-1720.61 + 993.393i) q^{41} +(8126.16 + 3767.42i) q^{42} +(3464.26 + 2000.09i) q^{43} +(2697.54 - 3832.51i) q^{44} +(-16615.6 + 16845.4i) q^{45} +(849.444 - 440.874i) q^{46} +(-3539.24 + 6130.14i) q^{47} +(719.466 - 15946.4i) q^{48} +(-3244.81 - 5620.18i) q^{49} +(-30300.7 - 19355.8i) q^{50} +(-19130.3 + 2585.43i) q^{51} +(-10838.5 - 23392.3i) q^{52} -6234.98i q^{53} +(20068.5 - 7511.44i) q^{54} +14260.7i q^{55} +(11246.7 - 14546.2i) q^{56} +(-40413.8 + 5461.87i) q^{57} +(6866.81 - 10749.7i) q^{58} +(16724.9 + 28968.4i) q^{59} +(26138.0 + 40938.9i) q^{60} +(14717.5 - 25491.5i) q^{61} +(-5377.25 - 10360.5i) q^{62} +(23884.9 + 6224.39i) q^{63} +(-31588.4 - 8712.87i) q^{64} +(67938.0 + 39224.1i) q^{65} +(5432.17 - 11716.9i) q^{66} +(23308.8 - 13457.4i) q^{67} +(-3550.28 + 39468.4i) q^{68} +(2086.78 - 1612.66i) q^{69} +(-2508.75 + 55892.1i) q^{70} +36309.5 q^{71} +(-5881.21 - 43592.8i) q^{72} -38203.0 q^{73} +(113.037 - 2518.34i) q^{74} +(-91668.6 - 37602.0i) q^{75} +(-7500.15 + 83379.1i) q^{76} +(12883.4 - 7438.21i) q^{77} +(-40878.3 - 58106.2i) q^{78} +(54553.0 + 31496.2i) q^{79} +(93860.1 - 33643.5i) q^{80} +(50727.5 - 30224.3i) q^{81} +(5177.38 + 9975.41i) q^{82} +(-39957.8 + 69208.9i) q^{83} +(23351.6 - 44966.6i) q^{84} +(-60290.3 - 104426. i) q^{85} +(12181.6 - 19069.8i) q^{86} +(13340.0 - 32521.1i) q^{87} +(-20973.9 - 16216.4i) q^{88} +96604.3i q^{89} +(90981.8 + 98170.3i) q^{90} -81835.0i q^{91} +(-2275.98 - 4912.18i) q^{92} +(-19669.3 - 25452.0i) q^{93} +(33744.7 + 21555.8i) q^{94} +(-127367. - 220605. i) q^{95} +(-89933.0 - 8110.71i) q^{96} +(-8318.60 + 14408.2i) q^{97} +(-32583.6 + 16911.4i) q^{98} +(8974.82 - 34439.1i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q - 3q^{2} - q^{4} - 6q^{5} - 27q^{6} + 18q^{9} + O(q^{10}) \) \( 56q - 3q^{2} - q^{4} - 6q^{5} - 27q^{6} + 18q^{9} - 68q^{10} - 486q^{12} - 2q^{13} - 1518q^{14} - q^{16} + 1992q^{18} - 1242q^{20} + 330q^{21} + 63q^{22} + 2235q^{24} + 12498q^{25} - 2052q^{28} - 11946q^{29} - 6882q^{30} - 7233q^{32} + 17040q^{33} + 6361q^{34} + 6399q^{36} - 8q^{37} - 14877q^{38} - 1526q^{40} - 43536q^{41} + 18564q^{42} - 42q^{45} - 26880q^{46} - 5931q^{48} + 38414q^{49} + 38631q^{50} + 24988q^{52} + 37587q^{54} + 21186q^{56} - 90786q^{57} - 3314q^{58} + 60930q^{60} - 2q^{61} - 106342q^{64} + 35970q^{65} - 47838q^{66} + 31413q^{68} - 1854q^{69} + 10524q^{70} - 130941q^{72} + 53620q^{73} - 20406q^{74} + 26193q^{76} + 26178q^{77} - 96684q^{78} - 14790q^{81} - 151286q^{82} + 141630q^{84} + 6248q^{85} + 279237q^{86} - 122541q^{88} + 235278q^{90} + 435804q^{92} + 71838q^{93} + 63480q^{94} - 37476q^{96} - 58148q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/36\mathbb{Z}\right)^\times\).

\(n\) \(19\) \(29\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.253656 5.65116i 0.0448405 0.998994i
\(3\) −2.08778 15.4480i −0.133931 0.990991i
\(4\) −31.8713 2.86690i −0.995979 0.0895907i
\(5\) 84.3255 48.6853i 1.50846 0.870910i 0.508508 0.861057i \(-0.330197\pi\)
0.999951 0.00985262i \(-0.00313624\pi\)
\(6\) −87.8289 + 7.87989i −0.995999 + 0.0893598i
\(7\) −87.9661 50.7872i −0.678532 0.391750i 0.120770 0.992681i \(-0.461464\pi\)
−0.799302 + 0.600930i \(0.794797\pi\)
\(8\) −24.2857 + 179.383i −0.134161 + 0.990960i
\(9\) −234.282 + 64.5040i −0.964125 + 0.265449i
\(10\) −253.739 488.886i −0.802394 1.54599i
\(11\) −73.2291 + 126.837i −0.182474 + 0.316055i −0.942723 0.333578i \(-0.891744\pi\)
0.760248 + 0.649633i \(0.225077\pi\)
\(12\) 22.2523 + 498.334i 0.0446089 + 0.999005i
\(13\) 402.832 + 697.726i 0.661098 + 1.14506i 0.980327 + 0.197378i \(0.0632427\pi\)
−0.319229 + 0.947678i \(0.603424\pi\)
\(14\) −309.320 + 484.228i −0.421782 + 0.660283i
\(15\) −928.145 1201.02i −1.06509 1.37823i
\(16\) 1007.56 + 182.744i 0.983947 + 0.178461i
\(17\) 1238.37i 1.03927i −0.854389 0.519633i \(-0.826069\pi\)
0.854389 0.519633i \(-0.173931\pi\)
\(18\) 305.096 + 1340.33i 0.221950 + 0.975058i
\(19\) 2616.12i 1.66254i −0.555866 0.831272i \(-0.687613\pi\)
0.555866 0.831272i \(-0.312387\pi\)
\(20\) −2827.14 + 1309.91i −1.58042 + 0.732263i
\(21\) −600.908 + 1464.93i −0.297345 + 0.724886i
\(22\) 698.199 + 446.002i 0.307555 + 0.196463i
\(23\) 84.5912 + 146.516i 0.0333431 + 0.0577519i 0.882215 0.470846i \(-0.156051\pi\)
−0.848872 + 0.528598i \(0.822718\pi\)
\(24\) 2821.81 + 0.654157i 1.00000 + 0.000231821i
\(25\) 3178.02 5504.50i 1.01697 1.76144i
\(26\) 4045.15 2099.49i 1.17355 0.609088i
\(27\) 1485.59 + 3484.53i 0.392183 + 0.919887i
\(28\) 2657.99 + 1870.85i 0.640706 + 0.450965i
\(29\) 1952.82 + 1127.46i 0.431189 + 0.248947i 0.699853 0.714287i \(-0.253249\pi\)
−0.268664 + 0.963234i \(0.586582\pi\)
\(30\) −7022.57 + 4940.45i −1.42460 + 1.00222i
\(31\) 1787.03 1031.74i 0.333985 0.192826i −0.323624 0.946186i \(-0.604901\pi\)
0.657609 + 0.753359i \(0.271568\pi\)
\(32\) 1288.29 5647.54i 0.222402 0.974955i
\(33\) 2112.26 + 866.438i 0.337646 + 0.138501i
\(34\) −6998.21 314.119i −1.03822 0.0466012i
\(35\) −9890.37 −1.36472
\(36\) 7651.81 1384.16i 0.984030 0.178005i
\(37\) 445.632 0.0535146 0.0267573 0.999642i \(-0.491482\pi\)
0.0267573 + 0.999642i \(0.491482\pi\)
\(38\) −14784.1 663.594i −1.66087 0.0745492i
\(39\) 9937.46 7679.66i 1.04620 0.808501i
\(40\) 6685.41 + 16308.9i 0.660660 + 1.61166i
\(41\) −1720.61 + 993.393i −0.159853 + 0.0922914i −0.577793 0.816184i \(-0.696086\pi\)
0.417939 + 0.908475i \(0.362752\pi\)
\(42\) 8126.16 + 3767.42i 0.710824 + 0.329550i
\(43\) 3464.26 + 2000.09i 0.285719 + 0.164960i 0.636010 0.771681i \(-0.280584\pi\)
−0.350291 + 0.936641i \(0.613917\pi\)
\(44\) 2697.54 3832.51i 0.210056 0.298436i
\(45\) −16615.6 + 16845.4i −1.22316 + 1.24008i
\(46\) 849.444 440.874i 0.0591889 0.0307199i
\(47\) −3539.24 + 6130.14i −0.233703 + 0.404786i −0.958895 0.283761i \(-0.908418\pi\)
0.725192 + 0.688547i \(0.241751\pi\)
\(48\) 719.466 15946.4i 0.0450720 0.998984i
\(49\) −3244.81 5620.18i −0.193063 0.334395i
\(50\) −30300.7 19355.8i −1.71407 1.09493i
\(51\) −19130.3 + 2585.43i −1.02990 + 0.139190i
\(52\) −10838.5 23392.3i −0.555853 1.19968i
\(53\) 6234.98i 0.304891i −0.988312 0.152446i \(-0.951285\pi\)
0.988312 0.152446i \(-0.0487149\pi\)
\(54\) 20068.5 7511.44i 0.936547 0.350541i
\(55\) 14260.7i 0.635675i
\(56\) 11246.7 14546.2i 0.479241 0.619840i
\(57\) −40413.8 + 5461.87i −1.64757 + 0.222666i
\(58\) 6866.81 10749.7i 0.268031 0.419592i
\(59\) 16724.9 + 28968.4i 0.625509 + 1.08341i 0.988442 + 0.151598i \(0.0484420\pi\)
−0.362933 + 0.931815i \(0.618225\pi\)
\(60\) 26138.0 + 40938.9i 0.937333 + 1.46811i
\(61\) 14717.5 25491.5i 0.506420 0.877145i −0.493553 0.869716i \(-0.664302\pi\)
0.999972 0.00742891i \(-0.00236472\pi\)
\(62\) −5377.25 10360.5i −0.177656 0.342296i
\(63\) 23884.9 + 6224.39i 0.758179 + 0.197581i
\(64\) −31588.4 8712.87i −0.964002 0.265896i
\(65\) 67938.0 + 39224.1i 1.99448 + 1.15151i
\(66\) 5432.17 11716.9i 0.153502 0.331096i
\(67\) 23308.8 13457.4i 0.634357 0.366246i −0.148081 0.988975i \(-0.547310\pi\)
0.782437 + 0.622729i \(0.213976\pi\)
\(68\) −3550.28 + 39468.4i −0.0931086 + 1.03509i
\(69\) 2086.78 1612.66i 0.0527659 0.0407774i
\(70\) −2508.75 + 55892.1i −0.0611945 + 1.36334i
\(71\) 36309.5 0.854819 0.427409 0.904058i \(-0.359426\pi\)
0.427409 + 0.904058i \(0.359426\pi\)
\(72\) −5881.21 43592.8i −0.133701 0.991022i
\(73\) −38203.0 −0.839056 −0.419528 0.907742i \(-0.637804\pi\)
−0.419528 + 0.907742i \(0.637804\pi\)
\(74\) 113.037 2518.34i 0.00239962 0.0534608i
\(75\) −91668.6 37602.0i −1.88177 0.771894i
\(76\) −7500.15 + 83379.1i −0.148948 + 1.65586i
\(77\) 12883.4 7438.21i 0.247629 0.142969i
\(78\) −40878.3 58106.2i −0.760775 1.08140i
\(79\) 54553.0 + 31496.2i 0.983448 + 0.567794i 0.903309 0.428990i \(-0.141130\pi\)
0.0801384 + 0.996784i \(0.474464\pi\)
\(80\) 93860.1 33643.5i 1.63967 0.587728i
\(81\) 50727.5 30224.3i 0.859074 0.511851i
\(82\) 5177.38 + 9975.41i 0.0850307 + 0.163831i
\(83\) −39957.8 + 69208.9i −0.636658 + 1.10272i 0.349503 + 0.936935i \(0.386350\pi\)
−0.986161 + 0.165789i \(0.946983\pi\)
\(84\) 23351.6 44966.6i 0.361092 0.695332i
\(85\) −60290.3 104426.i −0.905107 1.56769i
\(86\) 12181.6 19069.8i 0.177606 0.278035i
\(87\) 13340.0 32521.1i 0.188955 0.460646i
\(88\) −20973.9 16216.4i −0.288717 0.223227i
\(89\) 96604.3i 1.29277i 0.763011 + 0.646385i \(0.223720\pi\)
−0.763011 + 0.646385i \(0.776280\pi\)
\(90\) 90981.8 + 98170.3i 1.18399 + 1.27754i
\(91\) 81835.0i 1.03594i
\(92\) −2275.98 4912.18i −0.0280349 0.0605069i
\(93\) −19669.3 25452.0i −0.235820 0.305151i
\(94\) 33744.7 + 21555.8i 0.393900 + 0.251619i
\(95\) −127367. 220605.i −1.44793 2.50788i
\(96\) −89933.0 8110.71i −0.995958 0.0898216i
\(97\) −8318.60 + 14408.2i −0.0897678 + 0.155482i −0.907413 0.420240i \(-0.861946\pi\)
0.817645 + 0.575723i \(0.195279\pi\)
\(98\) −32583.6 + 16911.4i −0.342716 + 0.177875i
\(99\) 8974.82 34439.1i 0.0920317 0.353154i
\(100\) −117069. + 166324.i −1.17069 + 1.66324i
\(101\) 25178.9 + 14537.1i 0.245603 + 0.141799i 0.617749 0.786375i \(-0.288045\pi\)
−0.372146 + 0.928174i \(0.621378\pi\)
\(102\) 9758.20 + 108764.i 0.0928687 + 1.03511i
\(103\) −132194. + 76322.2i −1.22777 + 0.708855i −0.966564 0.256427i \(-0.917455\pi\)
−0.261210 + 0.965282i \(0.584121\pi\)
\(104\) −134943. + 55316.5i −1.22340 + 0.501500i
\(105\) 20648.9 + 152787.i 0.182778 + 1.35242i
\(106\) −35234.9 1581.54i −0.304585 0.0136715i
\(107\) 160032. 1.35129 0.675645 0.737227i \(-0.263865\pi\)
0.675645 + 0.737227i \(0.263865\pi\)
\(108\) −37357.9 115316.i −0.308193 0.951324i
\(109\) 136775. 1.10265 0.551327 0.834289i \(-0.314122\pi\)
0.551327 + 0.834289i \(0.314122\pi\)
\(110\) 80589.7 + 3617.32i 0.635035 + 0.0285039i
\(111\) −930.381 6884.13i −0.00716726 0.0530325i
\(112\) −79350.2 67246.5i −0.597727 0.506553i
\(113\) 29144.4 16826.5i 0.214713 0.123965i −0.388787 0.921328i \(-0.627106\pi\)
0.603500 + 0.797363i \(0.293772\pi\)
\(114\) 20614.7 + 229771.i 0.148565 + 1.65589i
\(115\) 14266.4 + 8236.70i 0.100593 + 0.0580776i
\(116\) −59006.6 41532.2i −0.407151 0.286576i
\(117\) −139383. 137481.i −0.941335 0.928489i
\(118\) 167947. 87167.2i 1.11037 0.576299i
\(119\) −62893.2 + 108934.i −0.407133 + 0.705175i
\(120\) 237982. 137326.i 1.50866 0.870560i
\(121\) 69800.5 + 120898.i 0.433406 + 0.750682i
\(122\) −140324. 89637.3i −0.853555 0.545242i
\(123\) 18938.2 + 24506.0i 0.112869 + 0.146053i
\(124\) −59912.8 + 27759.7i −0.349917 + 0.162129i
\(125\) 314609.i 1.80093i
\(126\) 41233.6 133399.i 0.231379 0.748557i
\(127\) 7342.22i 0.0403941i −0.999796 0.0201971i \(-0.993571\pi\)
0.999796 0.0201971i \(-0.00642936\pi\)
\(128\) −57250.4 + 176301.i −0.308855 + 0.951109i
\(129\) 23664.8 57691.7i 0.125207 0.305238i
\(130\) 238894. 373980.i 1.23979 1.94084i
\(131\) 104864. + 181630.i 0.533886 + 0.924718i 0.999216 + 0.0395811i \(0.0126024\pi\)
−0.465330 + 0.885137i \(0.654064\pi\)
\(132\) −64836.5 33670.2i −0.323880 0.168194i
\(133\) −132865. + 230130.i −0.651302 + 1.12809i
\(134\) −70137.3 135136.i −0.337433 0.650141i
\(135\) 294918. + 221508.i 1.39273 + 1.04606i
\(136\) 222142. + 30074.6i 1.02987 + 0.139429i
\(137\) −221740. 128022.i −1.00935 0.582749i −0.0983495 0.995152i \(-0.531356\pi\)
−0.911002 + 0.412403i \(0.864690\pi\)
\(138\) −8584.08 12201.8i −0.0383704 0.0545413i
\(139\) 31429.4 18145.7i 0.137974 0.0796595i −0.429424 0.903103i \(-0.641283\pi\)
0.567398 + 0.823444i \(0.307950\pi\)
\(140\) 315219. + 28354.7i 1.35923 + 0.122266i
\(141\) 102088. + 41875.8i 0.432439 + 0.177384i
\(142\) 9210.11 205191.i 0.0383305 0.853959i
\(143\) −117996. −0.482534
\(144\) −247842. + 22178.1i −0.996020 + 0.0891289i
\(145\) 219563. 0.867241
\(146\) −9690.43 + 215892.i −0.0376236 + 0.838212i
\(147\) −80046.2 + 61859.6i −0.305525 + 0.236110i
\(148\) −14202.9 1277.58i −0.0532994 0.00479441i
\(149\) −411222. + 237419.i −1.51744 + 0.876092i −0.517646 + 0.855595i \(0.673192\pi\)
−0.999790 + 0.0204977i \(0.993475\pi\)
\(150\) −235747. + 508496.i −0.855497 + 1.84527i
\(151\) 103973. + 60029.0i 0.371090 + 0.214249i 0.673935 0.738791i \(-0.264603\pi\)
−0.302844 + 0.953040i \(0.597936\pi\)
\(152\) 469287. + 63534.2i 1.64751 + 0.223048i
\(153\) 79879.7 + 290128.i 0.275872 + 1.00198i
\(154\) −38766.6 74692.7i −0.131721 0.253791i
\(155\) 100461. 174004.i 0.335869 0.581742i
\(156\) −338737. + 216271.i −1.11442 + 0.711520i
\(157\) −111283. 192748.i −0.360312 0.624079i 0.627700 0.778456i \(-0.283997\pi\)
−0.988012 + 0.154376i \(0.950663\pi\)
\(158\) 191828. 300299.i 0.611321 0.956998i
\(159\) −96318.0 + 13017.2i −0.302144 + 0.0408344i
\(160\) −166317. 538953.i −0.513613 1.66437i
\(161\) 17184.6i 0.0522486i
\(162\) −157935. 294336.i −0.472815 0.881162i
\(163\) 489772.i 1.44386i −0.691967 0.721929i \(-0.743255\pi\)
0.691967 0.721929i \(-0.256745\pi\)
\(164\) 57686.0 26727.9i 0.167479 0.0775989i
\(165\) 220300. 29773.2i 0.629948 0.0851366i
\(166\) 380975. + 243363.i 1.07307 + 0.685464i
\(167\) 43035.4 + 74539.6i 0.119408 + 0.206822i 0.919533 0.393012i \(-0.128567\pi\)
−0.800125 + 0.599833i \(0.795234\pi\)
\(168\) −248191. 143370.i −0.678441 0.391908i
\(169\) −138901. + 240584.i −0.374102 + 0.647963i
\(170\) −605421. + 314222.i −1.60670 + 0.833901i
\(171\) 168750. + 612910.i 0.441320 + 1.60290i
\(172\) −104676. 73677.2i −0.269791 0.189894i
\(173\) −170126. 98222.4i −0.432171 0.249514i 0.268100 0.963391i \(-0.413604\pi\)
−0.700271 + 0.713877i \(0.746938\pi\)
\(174\) −180398. 83635.6i −0.451710 0.209420i
\(175\) −559116. + 322806.i −1.38009 + 0.796795i
\(176\) −96961.4 + 114413.i −0.235949 + 0.278417i
\(177\) 412586. 318846.i 0.989877 0.764976i
\(178\) 545927. + 24504.2i 1.29147 + 0.0579684i
\(179\) −348859. −0.813799 −0.406900 0.913473i \(-0.633390\pi\)
−0.406900 + 0.913473i \(0.633390\pi\)
\(180\) 577854. 489251.i 1.32934 1.12551i
\(181\) −35362.9 −0.0802326 −0.0401163 0.999195i \(-0.512773\pi\)
−0.0401163 + 0.999195i \(0.512773\pi\)
\(182\) −462463. 20757.9i −1.03490 0.0464521i
\(183\) −424521. 174136.i −0.937068 0.384380i
\(184\) −28336.8 + 11616.0i −0.0617031 + 0.0252936i
\(185\) 37578.1 21695.7i 0.0807246 0.0466064i
\(186\) −148823. + 104698.i −0.315418 + 0.221900i
\(187\) 157070. + 90684.5i 0.328465 + 0.189640i
\(188\) 130375. 185229.i 0.269029 0.382221i
\(189\) 46288.1 381969.i 0.0942573 0.777811i
\(190\) −1.27898e6 + 663811.i −2.57028 + 1.33401i
\(191\) 434850. 753182.i 0.862494 1.49388i −0.00701997 0.999975i \(-0.502235\pi\)
0.869514 0.493908i \(-0.164432\pi\)
\(192\) −68647.0 + 506169.i −0.134390 + 0.990928i
\(193\) 426577. + 738854.i 0.824336 + 1.42779i 0.902425 + 0.430846i \(0.141785\pi\)
−0.0780890 + 0.996946i \(0.524882\pi\)
\(194\) 79313.2 + 50664.5i 0.151301 + 0.0966495i
\(195\) 464094. 1.13140e6i 0.874016 2.13073i
\(196\) 87303.9 + 188425.i 0.162328 + 0.350347i
\(197\) 259841.i 0.477026i −0.971139 0.238513i \(-0.923340\pi\)
0.971139 0.238513i \(-0.0766600\pi\)
\(198\) −192345. 59453.9i −0.348672 0.107775i
\(199\) 264379.i 0.473255i −0.971600 0.236627i \(-0.923958\pi\)
0.971600 0.236627i \(-0.0760420\pi\)
\(200\) 910232. + 703763.i 1.60908 + 1.24409i
\(201\) −256553. 331979.i −0.447906 0.579590i
\(202\) 88538.2 138603.i 0.152669 0.238998i
\(203\) −114521. 198357.i −0.195050 0.337837i
\(204\) 617120. 27556.5i 1.03823 0.0463605i
\(205\) −96727.3 + 167537.i −0.160755 + 0.278436i
\(206\) 397777. + 766409.i 0.653089 + 1.25832i
\(207\) −29269.1 28869.7i −0.0474770 0.0468291i
\(208\) 278373. + 776617.i 0.446138 + 1.24465i
\(209\) 331819. + 191576.i 0.525455 + 0.303372i
\(210\) 868660. 77935.1i 1.35926 0.121951i
\(211\) −889657. + 513644.i −1.37568 + 0.794247i −0.991636 0.129069i \(-0.958801\pi\)
−0.384041 + 0.923316i \(0.625468\pi\)
\(212\) −17875.1 + 198717.i −0.0273154 + 0.303665i
\(213\) −75806.1 560909.i −0.114487 0.847118i
\(214\) 40593.2 904369.i 0.0605924 1.34993i
\(215\) 389500. 0.574661
\(216\) −661143. + 181865.i −0.964186 + 0.265225i
\(217\) −209597. −0.302159
\(218\) 34693.7 772936.i 0.0494435 1.10155i
\(219\) 79759.4 + 590161.i 0.112376 + 0.831496i
\(220\) 40884.1 454508.i 0.0569506 0.633119i
\(221\) 864041. 498854.i 1.19002 0.687057i
\(222\) −39139.4 + 3511.53i −0.0533005 + 0.00478205i
\(223\) 524934. + 303071.i 0.706875 + 0.408115i 0.809903 0.586564i \(-0.199520\pi\)
−0.103028 + 0.994678i \(0.532853\pi\)
\(224\) −400149. + 431364.i −0.532846 + 0.574412i
\(225\) −389492. + 1.49460e6i −0.512912 + 1.96820i
\(226\) −87696.8 168968.i −0.114212 0.220056i
\(227\) −85552.8 + 148182.i −0.110197 + 0.190867i −0.915850 0.401522i \(-0.868481\pi\)
0.805653 + 0.592388i \(0.201815\pi\)
\(228\) 1.30370e6 58214.5i 1.66089 0.0741642i
\(229\) −689040. 1.19345e6i −0.868271 1.50389i −0.863762 0.503900i \(-0.831898\pi\)
−0.00450932 0.999990i \(-0.501435\pi\)
\(230\) 50165.7 78532.4i 0.0625298 0.0978879i
\(231\) −141803. 183493.i −0.174846 0.226250i
\(232\) −249673. + 322921.i −0.304545 + 0.393892i
\(233\) 1.36894e6i 1.65194i 0.563711 + 0.825972i \(0.309373\pi\)
−0.563711 + 0.825972i \(0.690627\pi\)
\(234\) −812281. + 752802.i −0.969765 + 0.898754i
\(235\) 689236.i 0.814138i
\(236\) −449995. 971209.i −0.525930 1.13510i
\(237\) 372659. 908493.i 0.430964 1.05063i
\(238\) 599652. + 383052.i 0.686210 + 0.438344i
\(239\) 155455. + 269255.i 0.176039 + 0.304908i 0.940520 0.339737i \(-0.110338\pi\)
−0.764481 + 0.644646i \(0.777005\pi\)
\(240\) −715684. 1.37971e6i −0.802035 1.54618i
\(241\) 196168. 339774.i 0.217564 0.376832i −0.736499 0.676439i \(-0.763522\pi\)
0.954063 + 0.299607i \(0.0968557\pi\)
\(242\) 700920. 363788.i 0.769361 0.399309i
\(243\) −572813. 720537.i −0.622297 0.782781i
\(244\) −542149. + 770255.i −0.582967 + 0.828247i
\(245\) −547241. 315950.i −0.582456 0.336281i
\(246\) 143291. 100807.i 0.150967 0.106207i
\(247\) 1.82533e6 1.05386e6i 1.90371 1.09910i
\(248\) 141677. + 345619.i 0.146275 + 0.356835i
\(249\) 1.15256e6 + 472776.i 1.17806 + 0.483233i
\(250\) −1.77791e6 79802.4i −1.79912 0.0807544i
\(251\) −241581. −0.242035 −0.121017 0.992650i \(-0.538616\pi\)
−0.121017 + 0.992650i \(0.538616\pi\)
\(252\) −743398. 266855.i −0.737429 0.264712i
\(253\) −24778.1 −0.0243370
\(254\) −41492.1 1862.40i −0.0403535 0.00181129i
\(255\) −1.48730e6 + 1.14938e6i −1.43235 + 1.10692i
\(256\) 981785. + 368252.i 0.936303 + 0.351192i
\(257\) −231851. + 133859.i −0.218966 + 0.126420i −0.605471 0.795867i \(-0.707015\pi\)
0.386506 + 0.922287i \(0.373682\pi\)
\(258\) −320022. 148368.i −0.299317 0.138768i
\(259\) −39200.5 22632.4i −0.0363113 0.0209644i
\(260\) −2.05282e6 1.44489e6i −1.88329 1.32557i
\(261\) −530237. 138180.i −0.481802 0.125557i
\(262\) 1.05302e6 546533.i 0.947728 0.491885i
\(263\) −829311. + 1.43641e6i −0.739313 + 1.28053i 0.213493 + 0.976945i \(0.431516\pi\)
−0.952805 + 0.303582i \(0.901817\pi\)
\(264\) −206722. + 357861.i −0.182548 + 0.316013i
\(265\) −303552. 525767.i −0.265533 0.459916i
\(266\) 1.26680e6 + 809218.i 1.09775 + 0.701231i
\(267\) 1.49234e6 201688.i 1.28112 0.173142i
\(268\) −781464. + 362080.i −0.664618 + 0.307941i
\(269\) 1.42634e6i 1.20183i 0.799312 + 0.600916i \(0.205197\pi\)
−0.799312 + 0.600916i \(0.794803\pi\)
\(270\) 1.32659e6 1.61045e6i 1.10745 1.34442i
\(271\) 1.91215e6i 1.58161i −0.612068 0.790805i \(-0.709662\pi\)
0.612068 0.790805i \(-0.290338\pi\)
\(272\) 226304. 1.24773e6i 0.185468 1.02258i
\(273\) −1.26419e6 + 170853.i −1.02661 + 0.138745i
\(274\) −779716. + 1.22061e6i −0.627423 + 0.982205i
\(275\) 465447. + 806179.i 0.371141 + 0.642835i
\(276\) −71131.7 + 45415.0i −0.0562070 + 0.0358861i
\(277\) 169154. 292983.i 0.132459 0.229426i −0.792165 0.610307i \(-0.791046\pi\)
0.924624 + 0.380881i \(0.124379\pi\)
\(278\) −94572.4 182215.i −0.0733926 0.141408i
\(279\) −352118. + 356989.i −0.270818 + 0.274565i
\(280\) 240195. 1.77416e6i 0.183091 1.35238i
\(281\) 817291. + 471863.i 0.617463 + 0.356492i 0.775881 0.630880i \(-0.217306\pi\)
−0.158418 + 0.987372i \(0.550639\pi\)
\(282\) 262542. 566292.i 0.196597 0.424050i
\(283\) −1.92014e6 + 1.10859e6i −1.42517 + 0.822821i −0.996734 0.0807515i \(-0.974268\pi\)
−0.428434 + 0.903573i \(0.640935\pi\)
\(284\) −1.15723e6 104096.i −0.851381 0.0765838i
\(285\) −3.14200e6 + 2.42813e6i −2.29136 + 1.77076i
\(286\) −29930.4 + 666816.i −0.0216370 + 0.482049i
\(287\) 201807. 0.144621
\(288\) 62465.7 + 1.40622e6i 0.0443773 + 0.999015i
\(289\) −113695. −0.0800752
\(290\) 55693.5 1.24079e6i 0.0388875 0.866369i
\(291\) 239946. + 98424.6i 0.166104 + 0.0681352i
\(292\) 1.21758e6 + 109524.i 0.835682 + 0.0751716i
\(293\) 1.18621e6 684857.i 0.807219 0.466048i −0.0387699 0.999248i \(-0.512344\pi\)
0.845989 + 0.533200i \(0.179011\pi\)
\(294\) 329275. + 468045.i 0.222172 + 0.315805i
\(295\) 2.82067e6 + 1.62851e6i 1.88711 + 1.08952i
\(296\) −10822.5 + 79938.8i −0.00717956 + 0.0530308i
\(297\) −550754. 66741.9i −0.362298 0.0439043i
\(298\) 1.23739e6 + 2.38410e6i 0.807169 + 1.55519i
\(299\) −68152.1 + 118043.i −0.0440861 + 0.0763593i
\(300\) 2.81380e6 + 1.46123e6i 1.80505 + 0.937379i
\(301\) −203158. 351880.i −0.129246 0.223861i
\(302\) 365607. 572343.i 0.230673 0.361110i
\(303\) 172001. 419315.i 0.107628 0.262382i
\(304\) 478079. 2.63590e6i 0.296699 1.63586i
\(305\) 2.86611e6i 1.76418i
\(306\) 1.65982e6 377821.i 1.01335 0.230665i
\(307\) 809224.i 0.490030i −0.969519 0.245015i \(-0.921207\pi\)
0.969519 0.245015i \(-0.0787929\pi\)
\(308\) −431934. + 200130.i −0.259442 + 0.120209i
\(309\) 1.45502e6 + 1.88279e6i 0.866906 + 1.12177i
\(310\) −957843. 611860.i −0.566096 0.361616i
\(311\) −35523.7 61528.8i −0.0208265 0.0360726i 0.855424 0.517928i \(-0.173296\pi\)
−0.876251 + 0.481855i \(0.839963\pi\)
\(312\) 1.13626e6 + 1.96912e6i 0.660833 + 1.14521i
\(313\) 893740. 1.54800e6i 0.515644 0.893122i −0.484191 0.874963i \(-0.660886\pi\)
0.999835 0.0181599i \(-0.00578080\pi\)
\(314\) −1.11748e6 + 579986.i −0.639608 + 0.331966i
\(315\) 2.31714e6 637969.i 1.31576 0.362262i
\(316\) −1.64838e6 1.16022e6i −0.928624 0.653618i
\(317\) −287153. 165788.i −0.160496 0.0926627i 0.417601 0.908631i \(-0.362871\pi\)
−0.578097 + 0.815968i \(0.696204\pi\)
\(318\) 49130.9 + 547611.i 0.0272450 + 0.303672i
\(319\) −286007. + 165126.i −0.157362 + 0.0908529i
\(320\) −3.08790e6 + 803175.i −1.68573 + 0.438466i
\(321\) −334112. 2.47218e6i −0.180980 1.33912i
\(322\) −97113.0 4358.98i −0.0521961 0.00234285i
\(323\) −3.23971e6 −1.72783
\(324\) −1.70340e6 + 817858.i −0.901476 + 0.432828i
\(325\) 5.12084e6 2.68926
\(326\) −2.76778e6 124234.i −1.44241 0.0647433i
\(327\) −285555. 2.11290e6i −0.147680 1.09272i
\(328\) −136412. 332773.i −0.0700110 0.170790i
\(329\) 622666. 359496.i 0.317150 0.183107i
\(330\) −112373. 1.25250e6i −0.0568038 0.633132i
\(331\) −2.05838e6 1.18840e6i −1.03265 0.596203i −0.114910 0.993376i \(-0.536658\pi\)
−0.917744 + 0.397173i \(0.869991\pi\)
\(332\) 1.47192e6 2.09122e6i 0.732891 1.04125i
\(333\) −104404. + 28745.1i −0.0515947 + 0.0142054i
\(334\) 432152. 224293.i 0.211968 0.110014i
\(335\) 1.31035e6 2.26960e6i 0.637934 1.10493i
\(336\) −873160. + 1.36620e6i −0.421935 + 0.660185i
\(337\) −62983.9 109091.i −0.0302103 0.0523257i 0.850525 0.525935i \(-0.176284\pi\)
−0.880735 + 0.473609i \(0.842951\pi\)
\(338\) 1.32435e6 + 845980.i 0.630536 + 0.402780i
\(339\) −320783. 415093.i −0.151605 0.196176i
\(340\) 1.62215e6 + 3.50104e6i 0.761017 + 1.64248i
\(341\) 302214.i 0.140743i
\(342\) 3.50646e6 798166.i 1.62108 0.369002i
\(343\) 2.36634e6i 1.08603i
\(344\) −442914. + 572855.i −0.201801 + 0.261005i
\(345\) 97455.6 237584.i 0.0440818 0.107465i
\(346\) −598224. + 936496.i −0.268642 + 0.420548i
\(347\) 577346. + 999992.i 0.257402 + 0.445834i 0.965545 0.260235i \(-0.0838001\pi\)
−0.708143 + 0.706069i \(0.750467\pi\)
\(348\) −518398. + 998246.i −0.229464 + 0.441865i
\(349\) −1.82275e6 + 3.15709e6i −0.801056 + 1.38747i 0.117865 + 0.993030i \(0.462395\pi\)
−0.918922 + 0.394440i \(0.870938\pi\)
\(350\) 1.68241e6 + 3.24154e6i 0.734110 + 1.41443i
\(351\) −1.83280e6 + 2.44021e6i −0.794050 + 1.05721i
\(352\) 621974. + 576967.i 0.267557 + 0.248196i
\(353\) 990369. + 571790.i 0.423020 + 0.244230i 0.696368 0.717685i \(-0.254798\pi\)
−0.273349 + 0.961915i \(0.588131\pi\)
\(354\) −1.69720e6 2.41247e6i −0.719820 1.02318i
\(355\) 3.06181e6 1.76774e6i 1.28946 0.744470i
\(356\) 276955. 3.07891e6i 0.115820 1.28757i
\(357\) 1.81413e6 + 744145.i 0.753350 + 0.309020i
\(358\) −88490.1 + 1.97146e6i −0.0364911 + 0.812981i
\(359\) 111222. 0.0455466 0.0227733 0.999741i \(-0.492750\pi\)
0.0227733 + 0.999741i \(0.492750\pi\)
\(360\) −2.61826e6 3.38965e6i −1.06477 1.37847i
\(361\) −4.36797e6 −1.76405
\(362\) −8970.00 + 199841.i −0.00359767 + 0.0801519i
\(363\) 1.72191e6 1.33069e6i 0.685872 0.530041i
\(364\) −234613. + 2.60819e6i −0.0928108 + 1.03178i
\(365\) −3.22149e6 + 1.85993e6i −1.26568 + 0.730742i
\(366\) −1.09175e6 + 2.35486e6i −0.426012 + 0.918889i
\(367\) −3.77385e6 2.17883e6i −1.46258 0.844421i −0.463450 0.886123i \(-0.653388\pi\)
−0.999130 + 0.0417025i \(0.986722\pi\)
\(368\) 58455.9 + 163083.i 0.0225014 + 0.0627752i
\(369\) 339030. 343721.i 0.129620 0.131413i
\(370\) −113074. 217863.i −0.0429398 0.0827333i
\(371\) −316657. + 548466.i −0.119441 + 0.206878i
\(372\) 553917. + 867578.i 0.207533 + 0.325051i
\(373\) −1.34963e6 2.33763e6i −0.502277 0.869970i −0.999997 0.00263144i \(-0.999162\pi\)
0.497719 0.867338i \(-0.334171\pi\)
\(374\) 552315. 864626.i 0.204177 0.319631i
\(375\) −4.86009e6 + 656834.i −1.78470 + 0.241200i
\(376\) −1.01369e6 783753.i −0.369773 0.285897i
\(377\) 1.81671e6i 0.658313i
\(378\) −2.14683e6 358470.i −0.772802 0.129040i
\(379\) 2.05325e6i 0.734249i −0.930172 0.367125i \(-0.880342\pi\)
0.930172 0.367125i \(-0.119658\pi\)
\(380\) 3.42689e6 + 7.39613e6i 1.21742 + 2.62752i
\(381\) −113423. + 15328.9i −0.0400302 + 0.00541003i
\(382\) −4.14606e6 2.64846e6i −1.45371 0.928613i
\(383\) −2.72270e6 4.71586e6i −0.948426 1.64272i −0.748741 0.662862i \(-0.769342\pi\)
−0.199685 0.979860i \(1.43601\pi\)
\(384\) 2.84303e6 + 516328.i 0.983906 + 0.178689i
\(385\) 724263. 1.25446e6i 0.249026 0.431326i
\(386\) 4.28359e6 2.22324e6i 1.46332 0.759484i
\(387\) −940629. 245127.i −0.319257 0.0831983i
\(388\) 306432. 435361.i 0.103337 0.146815i
\(389\) 2.51571e6 + 1.45244e6i 0.842919 + 0.486660i 0.858255 0.513223i \(-0.171549\pi\)
−0.0153362 + 0.999882i \(0.504882\pi\)
\(390\) −6.27600e6 2.90966e6i −2.08940 0.968680i
\(391\) 181441. 104755.i 0.0600196 0.0346523i
\(392\) 1.08697e6 445574.i 0.357274 0.146455i
\(393\) 2.58689e6 1.99915e6i 0.844883 0.652925i
\(394\) −1.46841e6 65910.3i −0.476547 0.0213901i
\(395\) 6.13361e6 1.97799
\(396\) −384773. + 1.07189e6i −0.123301 + 0.343489i
\(397\) −1.59810e6 −0.508896 −0.254448 0.967086i \(-0.581894\pi\)
−0.254448 + 0.967086i \(0.581894\pi\)
\(398\) −1.49405e6 67061.4i −0.472779 0.0212210i
\(399\) 3.83244e6 + 1.57205e6i 1.20516 + 0.494349i
\(400\) 4.20797e6 4.96536e6i 1.31499 1.55167i
\(401\) −1.48732e6 + 858705.i −0.461895 + 0.266675i −0.712841 0.701326i \(-0.752592\pi\)
0.250945 + 0.968001i \(0.419259\pi\)
\(402\) −1.94115e6 + 1.36562e6i −0.599091 + 0.421467i
\(403\) 1.43974e6 + 831237.i 0.441594 + 0.254954i
\(404\) −760810. 535501.i −0.231912 0.163233i
\(405\) 2.80614e6 5.01836e6i 0.850102 1.52028i
\(406\) −1.15000e6 + 596864.i −0.346243 + 0.179705i
\(407\) −32633.2 + 56522.4i −0.00976504 + 0.0169135i
\(408\) 810.086 3.49444e6i 0.000240924 1.03927i
\(409\) 2.74998e6 + 4.76310e6i 0.812870 + 1.40793i 0.910847 + 0.412744i \(0.135430\pi\)
−0.0979768 + 0.995189i \(0.531237\pi\)
\(410\) 922242. + 589119.i 0.270947 + 0.173079i
\(411\) −1.51474e6 + 3.69272e6i −0.442316 + 1.07831i
\(412\) 4.43200e6 2.05350e6i 1.28634 0.596008i
\(413\) 3.39765e6i 0.980174i
\(414\) −170572. + 158082.i −0.0489109 + 0.0453294i
\(415\) 7.78143e6i 2.21789i
\(416\) 4.45940e6 1.37614e6i 1.26341 0.389878i
\(417\) −345933. 447637.i −0.0974209 0.126062i
\(418\) 1.16679e6 1.82657e6i 0.326628 0.511323i
\(419\) 3.22137e6 + 5.57958e6i 0.896408 + 1.55262i 0.832052 + 0.554698i \(0.187166\pi\)
0.0643564 + 0.997927i \(0.479501\pi\)
\(420\) −220083. 4.92871e6i −0.0608785 1.36336i
\(421\) −1.68713e6 + 2.92220e6i −0.463921 + 0.803535i −0.999152 0.0411706i \(-0.986891\pi\)
0.535231 + 0.844706i \(0.320225\pi\)
\(422\) 2.67702e6 + 5.15789e6i 0.731762 + 1.40991i
\(423\) 433762. 1.66448e6i 0.117869 0.452301i
\(424\) 1.11845e6 + 151421.i 0.302135 + 0.0409044i
\(425\) −6.81659e6 3.93556e6i −1.83060 1.05690i
\(426\) −3.18902e6 + 286115.i −0.851399 + 0.0763865i
\(427\) −2.58929e6 + 1.49493e6i −0.687244 + 0.396780i
\(428\) −5.10044e6 458797.i −1.34586 0.121063i
\(429\) 246350. + 1.82281e6i 0.0646262 + 0.478187i
\(430\) 98799.1 2.20113e6i 0.0257681 0.574083i
\(431\) 1.69209e6 0.438763 0.219382 0.975639i \(-0.429596\pi\)
0.219382 + 0.975639i \(0.429596\pi\)
\(432\) 860046. + 3.78236e6i 0.221724 + 0.975109i
\(433\) −3.34335e6 −0.856964 −0.428482 0.903550i \(-0.640951\pi\)
−0.428482 + 0.903550i \(0.640951\pi\)
\(434\) −53165.5 + 1.18447e6i −0.0135490 + 0.301855i
\(435\) −458399. 3.39182e6i −0.116150 0.859428i
\(436\) −4.35919e6 392120.i −1.09822 0.0987876i
\(437\) 383304. 221300.i 0.0960150 0.0554343i
\(438\) 3.35533e6 301036.i 0.835699 0.0749779i
\(439\) 4.12524e6 + 2.38171e6i 1.02162 + 0.589831i 0.914572 0.404424i \(-0.132528\pi\)
0.107045 + 0.994254i \(0.465861\pi\)
\(440\) −2.55813e6 346332.i −0.629928 0.0852826i
\(441\) 1.12273e6 + 1.10741e6i 0.274902 + 0.271150i
\(442\) −2.59994e6 5.00937e6i −0.633005 1.21963i
\(443\) −2.19145e6 + 3.79571e6i −0.530546 + 0.918932i 0.468819 + 0.883294i \(0.344680\pi\)
−0.999365 + 0.0356380i \(0.988654\pi\)
\(444\) 9916.32 + 222074.i 0.00238722 + 0.0534613i
\(445\) 4.70321e6 + 8.14620e6i 1.12589 + 1.95009i
\(446\) 1.84586e6 2.88961e6i 0.439401 0.687864i
\(447\) 4.52619e6 + 5.85688e6i 1.07143 + 1.38643i
\(448\) 2.33621e6 + 2.37073e6i 0.549941 + 0.558067i
\(449\) 2.64215e6i 0.618502i −0.950981 0.309251i \(-0.899922\pi\)
0.950981 0.309251i \(-0.100078\pi\)
\(450\) 8.34744e6 + 2.58020e6i 1.94322 + 0.600651i
\(451\) 290981.i 0.0673633i
\(452\) −977110. + 452729.i −0.224956 + 0.104230i
\(453\) 710256. 1.73151e6i 0.162618 0.396441i
\(454\) 815699. + 521060.i 0.185733 + 0.118645i
\(455\) −3.98416e6 6.90077e6i −0.902212 1.56268i
\(456\) 1711.35 7.38219e6i 0.000385413 1.66254i
\(457\) 1.74172e6 3.01674e6i 0.390110 0.675690i −0.602354 0.798229i \(-0.705770\pi\)
0.992464 + 0.122539i \(0.0391037\pi\)
\(458\) −6.91917e6 + 3.59115e6i −1.54131 + 0.799963i
\(459\) 4.31512e6 1.83970e6i 0.956008 0.407583i
\(460\) −431075. 303415.i −0.0949856 0.0668563i
\(461\) 2.93883e6 + 1.69673e6i 0.644054 + 0.371845i 0.786174 0.618005i \(-0.212059\pi\)
−0.142121 + 0.989849i \(0.545392\pi\)
\(462\) −1.07292e6 + 754809.i −0.233863 + 0.164525i
\(463\) −167674. + 96806.8i −0.0363508 + 0.0209871i −0.518065 0.855341i \(-0.673348\pi\)
0.481714 + 0.876328i \(0.340014\pi\)
\(464\) 1.76155e6 + 1.49285e6i 0.379840 + 0.321901i
\(465\) −2.89776e6 1.18865e6i −0.621484 0.254929i
\(466\) 7.73612e6 + 347240.i 1.65028 + 0.0740739i
\(467\) 3.24407e6 0.688332 0.344166 0.938909i \(-0.388162\pi\)
0.344166 + 0.938909i \(0.388162\pi\)
\(468\) 4.04817e6 + 4.78128e6i 0.854365 + 1.00909i
\(469\) −2.73385e6 −0.573908
\(470\) 3.89498e6 + 174829.i 0.813319 + 0.0365063i
\(471\) −2.74523e6 + 2.12151e6i −0.570200 + 0.440650i
\(472\) −5.60261e6 + 2.29664e6i −1.15754 + 0.474503i
\(473\) −507369. + 292930.i −0.104273 + 0.0602020i
\(474\) −5.03952e6 2.33640e6i −1.03025 0.477642i
\(475\) −1.44004e7 8.31408e6i −2.92847 1.69075i
\(476\) 2.31679e6 3.29157e6i 0.468673 0.665864i
\(477\) 402181. + 1.46074e6i 0.0809330 + 0.293953i
\(478\) 1.56104e6 810201.i 0.312495 0.162190i
\(479\) 4.10699e6 7.11352e6i 0.817871 1.41659i −0.0893767 0.995998i \(-0.528487\pi\)
0.907248 0.420596i \(-0.138179\pi\)
\(480\) −7.97851e6 + 3.69448e6i −1.58059 + 0.731897i
\(481\) 179515. + 310929.i 0.0353784 + 0.0612772i
\(482\) −1.87036e6 1.19477e6i −0.366697 0.234242i
\(483\) −265468. + 35877.6i −0.0517779 + 0.00699771i
\(484\) −1.87803e6 4.05329e6i −0.364409 0.786492i
\(485\) 1.61997e6i 0.312719i
\(486\) −4.21717e6 + 3.05429e6i −0.809898 + 0.586570i
\(487\) 1.63906e6i 0.313165i 0.987665 + 0.156583i \(0.0500477\pi\)
−0.987665 + 0.156583i \(0.949952\pi\)
\(488\) 4.21532e6 + 3.25915e6i 0.801273 + 0.619520i
\(489\) −7.56600e6 + 1.02253e6i −1.43085 + 0.193377i
\(490\) −1.92429e6 + 3.01240e6i −0.362060 + 0.566791i
\(491\) −2.03219e6 3.51985e6i −0.380417 0.658902i 0.610705 0.791858i \(-0.290886\pi\)
−0.991122 + 0.132957i \(0.957553\pi\)
\(492\) −533329. 835332.i −0.0993305 0.155577i
\(493\) 1.39621e6 2.41831e6i 0.258722 0.448120i
\(494\) −5.49251e6 1.05826e7i −1.01264 1.95107i
\(495\) −919875. 3.34104e6i −0.168739 0.612870i
\(496\) 1.98908e6 712974.i 0.363036 0.130128i
\(497\) −3.19400e6 1.84406e6i −0.580022 0.334876i
\(498\) 2.96409e6 6.39340e6i 0.535572 1.15520i
\(499\) 2.92199e6 1.68701e6i 0.525325 0.303296i −0.213786 0.976881i \(-0.568579\pi\)
0.739111 + 0.673584i \(0.235246\pi\)
\(500\) −901954. + 1.00270e7i −0.161346 + 1.79369i
\(501\) 1.06164e6 820434.i 0.188966 0.146032i
\(502\) −61278.3 + 1.36521e6i −0.0108529 + 0.241791i
\(503\) −7.37612e6 −1.29989 −0.649947 0.759979i \(-0.725209\pi\)
−0.649947 + 0.759979i \(0.725209\pi\)
\(504\) −1.69661e6 + 4.13338e6i −0.297513 + 0.724817i
\(505\) 2.83097e6 0.493977
\(506\) −6285.12 + 140025.i −0.00109128 + 0.0243125i
\(507\) 4.00654e6 + 1.64346e6i 0.692229 + 0.283949i
\(508\) −21049.4 + 234006.i −0.00361894 + 0.0402317i
\(509\) −5.72270e6 + 3.30400e6i −0.979054 + 0.565257i −0.901984 0.431769i \(-0.857890\pi\)
−0.0770693 + 0.997026i \(0.524556\pi\)
\(510\) 6.11809e6 + 8.69652e6i 1.04158 + 1.48054i
\(511\) 3.36057e6 + 1.94023e6i 0.569326 + 0.328700i
\(512\) 2.33009e6 5.45482e6i 0.392823 0.919614i
\(513\) 9.11593e6 3.88647e6i 1.52935 0.652022i
\(514\) 697650. + 1.34418e6i 0.116474 + 0.224414i
\(515\) −7.43154e6 + 1.28718e7i −1.23470 + 2.13856i
\(516\) −919626. + 1.77087e6i −0.152050 + 0.292793i
\(517\) −518350. 897809.i −0.0852898 0.147726i
\(518\) −137843. + 215788.i −0.0225715 + 0.0353348i
\(519\) −1.16216e6 + 2.83318e6i −0.189385 + 0.461695i
\(520\) −8.68604e6 + 1.12343e7i −1.40868 + 1.82196i
\(521\) 1.91733e6i 0.309459i −0.987957 0.154730i \(-0.950549\pi\)
0.987957 0.154730i \(-0.0494506\pi\)
\(522\) −915373. + 2.96141e6i −0.147035 + 0.475688i
\(523\) 5.16891e6i 0.826313i −0.910660 0.413157i \(-0.864426\pi\)
0.910660 0.413157i \(-0.135574\pi\)
\(524\) −2.82144e6 6.08943e6i −0.448893 0.968831i
\(525\) 6.15402e6 + 7.96329e6i 0.974453 + 1.26094i
\(526\) 7.90702e6 + 5.05093e6i 1.24609 + 0.795988i
\(527\) −1.27767e6 2.21300e6i −0.200398 0.347100i
\(528\) 1.96989e6 + 1.25899e6i 0.307509 + 0.196534i
\(529\) 3.20386e6 5.54925e6i 0.497776 0.862174i
\(530\) −3.04819e6 + 1.58206e6i −0.471360 + 0.244643i
\(531\) −5.78693e6 5.70796e6i −0.890660 0.878505i
\(532\) 4.89435e6 6.95362e6i 0.749750 1.06520i
\(533\) −1.38623e6 800342.i −0.211358 0.122027i
\(534\) −761232. 8.48464e6i −0.115522 1.28760i
\(535\) 1.34948e7 7.79123e6i 2.03837 1.17685i
\(536\) 1.84795e6 + 4.50803e6i 0.277829 + 0.677758i
\(537\) 728340. + 5.38918e6i 0.108993 + 0.806467i
\(538\) 8.06051e6 + 361801.i 1.20062 + 0.0538907i
\(539\) 950459. 0.140916
\(540\) −8.76439e6 7.90525e6i −1.29341 1.16663i
\(541\) 3.10786e6 0.456528 0.228264 0.973599i \(-0.426695\pi\)
0.228264 + 0.973599i \(0.426695\pi\)
\(542\) −1.08059e7 485029.i −1.58002 0.0709201i
\(543\) 73829.8 + 546286.i 0.0107456 + 0.0795098i
\(544\) −6.99373e6 1.59538e6i −1.01324 0.231135i
\(545\) 1.15336e7 6.65892e6i 1.66331 0.960313i
\(546\) 644851. + 7.18747e6i 0.0925716 + 1.03180i
\(547\) −3.78249e6 2.18382e6i −0.540517 0.312068i 0.204772 0.978810i \(-0.434355\pi\)
−0.745288 + 0.666742i \(0.767688\pi\)
\(548\) 6.70011e6 + 4.71592e6i 0.953083 + 0.670834i
\(549\) −1.80375e6 + 6.92156e6i −0.255415 + 0.980106i
\(550\) 4.67391e6 2.42583e6i 0.658831 0.341943i
\(551\) 2.94957e6 5.10881e6i 0.413885 0.716870i
\(552\) 238605. + 413497.i 0.0333297 + 0.0577596i
\(553\) −3.19921e6 5.54120e6i −0.444867 0.770532i
\(554\) −1.61279e6 1.03023e6i −0.223256 0.142614i
\(555\) −413611. 535212.i −0.0569980 0.0737553i
\(556\) −1.05372e6 + 488224.i −0.144556 + 0.0669780i
\(557\) 4.46009e6i 0.609124i 0.952493 + 0.304562i \(0.0985100\pi\)
−0.952493 + 0.304562i \(0.901490\pi\)
\(558\) 1.92809e6 + 2.08043e6i 0.262145 + 0.282857i
\(559\) 3.22281e6i 0.436219i
\(560\) −9.96516e6 1.80741e6i −1.34281 0.243549i
\(561\) 1.07297e6 2.61575e6i 0.143939 0.350905i
\(562\) 2.87389e6 4.49896e6i 0.383821 0.600857i
\(563\) 5.22200e6 + 9.04476e6i 0.694330 + 1.20261i 0.970406 + 0.241478i \(0.0776323\pi\)
−0.276077 + 0.961136i \(0.589034\pi\)
\(564\) −3.13361e6 1.62731e6i −0.414808 0.215414i
\(565\) 1.63841e6 2.83781e6i 0.215924 0.373992i
\(566\) 5.77778e6 + 1.11322e7i 0.758089 + 1.46063i
\(567\) −5.99731e6 + 82407.2i −0.783427 + 0.0107648i
\(568\) −881801. + 6.51330e6i −0.114683 + 0.847091i
\(569\) 2.55116e6 + 1.47291e6i 0.330337 + 0.190720i 0.655991 0.754769i \(-0.272251\pi\)
−0.325654 + 0.945489i \(0.605584\pi\)
\(570\) 1.29248e7 + 1.83719e7i 1.66624 + 2.36846i
\(571\) −199833. + 115373.i −0.0256493 + 0.0148086i −0.512770 0.858526i \(-0.671381\pi\)
0.487121 + 0.873335i \(0.338047\pi\)
\(572\) 3.76069e6 + 338284.i 0.480594 + 0.0432306i
\(573\) −1.25430e7 5.14509e6i −1.59594 0.654646i
\(574\) 51189.5 1.14044e6i 0.00648487 0.144475i
\(575\) 1.07533e6 0.135635
\(576\) 7.96262e6 + 3691.81i 1.00000 + 0.000463643i
\(577\) 4.42964e6 0.553897 0.276949 0.960885i \(-0.410677\pi\)
0.276949 + 0.960885i \(0.410677\pi\)
\(578\) −28839.5 + 642511.i −0.00359061 + 0.0799947i
\(579\) 1.05232e7 8.13233e6i 1.30452 1.00814i
\(580\) −6.99777e6 629467.i −0.863754 0.0776967i
\(581\) 7.02986e6 4.05869e6i 0.863985 0.498822i
\(582\) 617078. 1.33101e6i 0.0755148 0.162882i
\(583\) 790822. + 456582.i 0.0963624 + 0.0556349i
\(584\) 927787. 6.85297e6i 0.112568 0.831470i
\(585\) −1.84468e7 4.80723e6i −2.22860 0.580771i
\(586\) −3.56935e6 6.87717e6i −0.429383 0.827305i
\(587\) −509131. + 881841.i −0.0609866 + 0.105632i −0.894907 0.446253i \(-0.852758\pi\)
0.833920 + 0.551885i \(0.186091\pi\)
\(588\) 2.72852e6 1.74206e6i 0.325450 0.207788i
\(589\) −2.69915e6 4.67507e6i −0.320582 0.555265i
\(590\) 9.91848e6 1.55270e7i 1.17305 1.83636i
\(591\) −4.01403e6 + 542491.i −0.472729 + 0.0638886i
\(592\) 449002. + 81436.6i 0.0526555 + 0.00955026i
\(593\) 1.12943e6i 0.131893i 0.997823 + 0.0659466i \(0.0210067\pi\)
−0.997823 + 0.0659466i \(0.978993\pi\)
\(594\) −516871. + 3.09547e6i −0.0601058 + 0.359965i
\(595\) 1.22479e7i 1.41831i
\(596\) 1.37868e7 6.38792e6i 1.58982 0.736621i
\(597\) −4.08414e6 + 551965.i −0.468991 + 0.0633835i
\(598\) 649793. + 415081.i 0.0743057 + 0.0474657i
\(599\) 6.98600e6 + 1.21001e7i 0.795539 + 1.37791i 0.922496 + 0.386006i \(0.126145\pi\)
−0.126958 + 0.991908i \(0.540521\pi\)
\(600\) 8.97138e6 1.55306e7i 1.01738 1.76120i
\(601\) −7.90974e6 + 1.37001e7i −0.893256 + 1.54717i −0.0573087 + 0.998357i \(0.518252\pi\)
−0.835948 + 0.548809i \(0.815081\pi\)
\(602\) −2.04007e6 + 1.05882e6i −0.229432 + 0.119078i
\(603\) −4.59279e6 + 4.65634e6i −0.514380 + 0.521496i
\(604\) −3.14167e6 2.21128e6i −0.350403 0.246634i
\(605\) 1.17719e7 + 6.79652e6i 1.30755 + 0.754915i
\(606\) −2.32599e6 1.07837e6i −0.257292 0.119285i
\(607\) −4.40500e6 + 2.54323e6i −0.485259 + 0.280165i −0.722606 0.691261i \(-0.757056\pi\)
0.237346 + 0.971425i \(0.423722\pi\)
\(608\) −1.47746e7 3.37032e6i −1.62091 0.369753i
\(609\) −2.82512e6 + 2.18325e6i −0.308670 + 0.238540i
\(610\) −1.61969e7 727007.i −1.76241 0.0791068i
\(611\) −5.70288e6 −0.618004
\(612\) −1.71410e6 9.47575e6i −0.184994 1.02267i
\(613\) −2.62634e6 −0.282293 −0.141147 0.989989i \(-0.545079\pi\)
−0.141147 + 0.989989i \(0.545079\pi\)
\(614\) −4.57306e6 205264.i −0.489537 0.0219732i
\(615\) 2.79005e6 + 1.14447e6i 0.297457 + 0.122016i
\(616\) 1.02141e6 + 2.49169e6i 0.108454 + 0.264571i
\(617\) −8.21879e6 + 4.74512e6i −0.869150 + 0.501804i −0.867066 0.498194i \(-0.833997\pi\)
−0.00208438 + 0.999998i \(0.500663\pi\)
\(618\) 1.10090e7 7.74496e6i 1.15952 0.815733i
\(619\) 2.66128e6 + 1.53649e6i 0.279167 + 0.161177i 0.633046 0.774114i \(-0.281804\pi\)
−0.353879 + 0.935291i \(0.615138\pi\)
\(620\) −3.70069e6 + 5.25773e6i −0.386637 + 0.549312i
\(621\) −384872. + 512423.i −0.0400486 + 0.0533212i
\(622\) −356720. + 185143.i −0.0369702 + 0.0191881i
\(623\) 4.90627e6 8.49790e6i 0.506443 0.877186i
\(624\) 1.14160e7 5.92172e6i 1.17369 0.608816i
\(625\) −5.38553e6 9.32800e6i −0.551478 0.955188i
\(626\) −8.52132e6 5.44333e6i −0.869102 0.555174i
\(627\) 2.26670e6 5.52592e6i 0.230264 0.561352i
\(628\) 2.99414e6 + 6.46216e6i 0.302952 + 0.653850i
\(629\) 551856.i 0.0556159i
\(630\) −3.01751e6 1.32564e7i −0.302899 1.33068i
\(631\) 2.80779e6i 0.280731i −0.990100 0.140366i \(-0.955172\pi\)
0.990100 0.140366i \(-0.0448278\pi\)
\(632\) −6.97474e6 + 9.02097e6i −0.694601 + 0.898381i
\(633\) 9.79218e6 + 1.26711e7i 0.971337 + 1.25691i
\(634\) −1.00973e6 + 1.58070e6i −0.0997662 + 0.156180i
\(635\) −357459. 619137.i −0.0351796 0.0609329i
\(636\) 3.10710e6 138742.i 0.304588 0.0136009i
\(637\) 2.61423e6 4.52798e6i 0.255267 0.442136i
\(638\) 860607. + 1.65816e6i 0.0837053 + 0.161277i
\(639\) −8.50667e6 + 2.34211e6i −0.824152 + 0.226911i
\(640\) 3.75561e6 + 1.76539e7i 0.362436 + 1.70369i
\(641\) 8.96448e6 + 5.17564e6i 0.861747 + 0.497530i 0.864597 0.502466i \(-0.167574\pi\)
−0.00284982 + 0.999996i \(0.500907\pi\)
\(642\) −1.40555e7 + 1.26104e6i −1.34588 + 0.120751i
\(643\) −4.22376e6 + 2.43859e6i −0.402876 + 0.232601i −0.687724 0.725972i \(-0.741390\pi\)
0.284848 + 0.958573i \(0.408057\pi\)
\(644\) −49266.6 + 547696.i −0.00468099 + 0.0520385i
\(645\) −813190. 6.01701e6i −0.0769649 0.569484i
\(646\) −821772. + 1.83081e7i −0.0774765 + 1.72609i
\(647\) −9.58644e6 −0.900319 −0.450160 0.892948i \(-0.648633\pi\)
−0.450160 + 0.892948i \(0.648633\pi\)
\(648\) 4.18977e6 + 9.83365e6i 0.391970 + 0.919978i
\(649\) −4.89900e6 −0.456557
\(650\) 1.29893e6 2.89387e7i 0.120588 2.68656i
\(651\) 437592. + 3.23786e6i 0.0404685 + 0.299437i
\(652\) −1.40413e6 + 1.56097e7i −0.129356 + 1.43805i
\(653\) −3.50930e6 + 2.02609e6i −0.322060 + 0.185942i −0.652311 0.757952i \(-0.726200\pi\)
0.330250 + 0.943893i \(0.392867\pi\)
\(654\) −1.20128e7 + 1.07777e6i −1.09824 + 0.0985330i
\(655\) 1.76854e7 + 1.02107e7i 1.61069 + 0.929934i
\(656\) −1.91515e6 + 686474.i −0.173758 + 0.0622823i
\(657\) 8.95030e6 2.46425e6i 0.808955 0.222726i
\(658\) −1.87363e6 3.60997e6i −0.168702 0.325042i
\(659\) 3.07530e6 5.32657e6i 0.275850 0.477787i −0.694499 0.719494i \(-0.744374\pi\)
0.970349 + 0.241707i \(0.0777072\pi\)
\(660\) −7.10661e6 + 317334.i −0.635042 + 0.0283567i
\(661\) 1.19391e6 + 2.06791e6i 0.106284 + 0.184089i 0.914262 0.405124i \(-0.132771\pi\)
−0.807978 + 0.589212i \(0.799438\pi\)
\(662\) −7.23798e6 + 1.13308e7i −0.641908 + 1.00488i
\(663\) −9.51023e6 1.23062e7i −0.840248 1.08728i
\(664\) −1.14445e7 8.84853e6i −1.00734 0.778844i
\(665\) 2.58744e7i 2.26890i
\(666\) 135960. + 597294.i 0.0118776 + 0.0521798i
\(667\) 381493.i 0.0332026i
\(668\) −1.15790e6 2.49905e6i −0.100399 0.216688i
\(669\) 3.58590e6 8.74194e6i 0.309765 0.755166i
\(670\) −1.24935e7 7.98071e6i −1.07522 0.686838i
\(671\) 2.15550e6 + 3.73344e6i 0.184817 + 0.320113i
\(672\) 7.49913e6 + 5.28092e6i 0.640601 + 0.451114i
\(673\) 5.33582e6 9.24191e6i 0.454113 0.786546i −0.544524 0.838745i \(-0.683290\pi\)
0.998637 + 0.0521992i \(0.0166231\pi\)
\(674\) −632469. + 328261.i −0.0536278 + 0.0278336i
\(675\) 2.39018e7 + 2.89649e6i 2.01916 + 0.244688i
\(676\) 5.11670e6 7.26951e6i 0.430649 0.611841i
\(677\) −1.20806e7 6.97471e6i −1.01301 0.584864i −0.100941 0.994892i \(-0.532185\pi\)
−0.912073 + 0.410029i \(0.865519\pi\)
\(678\) −2.42713e6 + 1.70751e6i −0.202777 + 0.142656i
\(679\) 1.46351e6 844957.i 0.121821 0.0703332i
\(680\) 2.01964e7 8.27899e6i 1.67495 0.686602i
\(681\) 2.46773e6 + 1.01225e6i 0.203906 + 0.0836412i
\(682\) 1.70786e6 + 76658.3i 0.140602 + 0.00631100i
\(683\) −1.34097e7 −1.09994 −0.549968 0.835186i \(-0.685360\pi\)
−0.549968 + 0.835186i \(0.685360\pi\)
\(684\) −3.62114e6 2.00180e7i −0.295941 1.63599i
\(685\) −2.49311e7 −2.03009
\(686\) 1.33726e7 + 600237.i 1.08494 + 0.0486981i
\(687\) −1.69979e7 + 1.31360e7i −1.37405 + 1.06187i
\(688\) 3.12495e6 + 2.64829e6i 0.251694 + 0.213302i
\(689\) 4.35030e6 2.51165e6i 0.349118 0.201563i
\(690\) −1.31790e6 611002.i −0.105381 0.0488562i
\(691\) −1.05848e6 611111.i −0.0843307 0.0486883i 0.457242 0.889342i \(-0.348837\pi\)
−0.541572 + 0.840654i \(0.682171\pi\)
\(692\) 5.14055e6 + 3.61821e6i 0.408079 + 0.287229i
\(693\) −2.53855e6 + 2.57367e6i −0.200795 + 0.203573i
\(694\) 5.79757e6 3.00902e6i 0.456927 0.237152i
\(695\) 1.76686e6 3.06030e6i 0.138753 0.240326i
\(696\) 5.50976e6 + 3.18276e6i 0.431131 + 0.249047i
\(697\) 1.23018e6 + 2.13074e6i 0.0959154 + 0.166130i
\(698\) 1.73789e7 + 1.11015e7i 1.35015 + 0.862465i
\(699\) 2.11474e7 2.85805e6i 1.63706 0.221246i
\(700\) 1.87452e7 8.68532e6i 1.44592 0.669948i
\(701\) 1.38380e7i 1.06360i −0.846870 0.531801i \(-0.821516\pi\)
0.846870 0.531801i \(-0.178484\pi\)
\(702\) 1.33252e7 + 1.09764e7i 1.02054 + 0.840657i
\(703\) 1.16583e6i 0.0889704i
\(704\) 3.41830e6 3.36853e6i 0.259943 0.256158i
\(705\) 1.06473e7 1.43897e6i 0.806803 0.109038i
\(706\) 3.48249e6 5.45170e6i 0.262953 0.411643i
\(707\) −1.47660e6 2.55754e6i −0.111100 0.192430i
\(708\) −1.40638e7 + 8.97920e6i −1.05443 + 0.673216i
\(709\) 1.12116e7 1.94191e7i 0.837632 1.45082i −0.0542381 0.998528i \(-0.517273\pi\)
0.891870 0.452292i \(-0.149394\pi\)
\(710\) −9.21314e6 1.77512e7i −0.685901 1.32155i
\(711\) −1.48124e7 3.86012e6i −1.09889 0.286369i
\(712\) −1.73292e7 2.34610e6i −1.28108 0.173439i
\(713\) 302333. + 174552.i 0.0222722 + 0.0128588i
\(714\) 4.66545e6 1.00632e7i 0.342490 0.738736i
\(715\) −9.95008e6 + 5.74468e6i −0.727883 + 0.420243i
\(716\) 1.11186e7 + 1.00014e6i 0.810527 + 0.0729088i
\(717\) 3.83490e6 2.96361e6i 0.278584 0.215290i
\(718\) 28212.2 628536.i 0.00204233 0.0455008i
\(719\) 1.71887e7 1.24000 0.619999 0.784603i \(-0.287133\pi\)
0.619999 + 0.784603i \(0.287133\pi\)
\(720\) −1.98196e7 + 1.39364e7i −1.42483 + 1.00189i
\(721\) 1.55048e7 1.11078
\(722\) −1.10796e6 + 2.46841e7i −0.0791009 + 1.76228i
\(723\) −5.65839e6 2.32104e6i −0.402575 0.165134i
\(724\) 1.12706e6 + 101382.i 0.0799100 + 0.00718810i
\(725\) 1.24122e7 7.16620e6i 0.877010 0.506342i
\(726\) −7.08316e6 1.00683e7i −0.498753 0.708949i
\(727\) −1.12449e7 6.49227e6i −0.789081 0.455576i 0.0505582 0.998721i \(-0.483900\pi\)
−0.839639 + 0.543145i \(0.817233\pi\)
\(728\) 1.46798e7 + 1.98742e6i 1.02658 + 0.138983i
\(729\) −9.93496e6 + 1.03532e7i −0.692384 + 0.721529i
\(730\) 9.69361e6 + 1.86769e7i 0.673253 + 1.29718i
\(731\) 2.47685e6 4.29002e6i 0.171437 0.296938i
\(732\) 1.30308e7 + 6.76701e6i 0.898863 + 0.466787i
\(733\) 3.50187e6 + 6.06542e6i 0.240736 + 0.416967i 0.960924 0.276812i \(-0.0892780\pi\)
−0.720188 + 0.693779i \(0.755945\pi\)
\(734\) −1.32702e7 + 2.07740e7i −0.909154 + 1.42324i
\(735\) −3.73828e6 + 9.11341e6i −0.255243 + 0.622247i
\(736\) 936434. 288977.i 0.0637210 0.0196639i
\(737\) 3.94188e6i 0.267322i
\(738\) −1.85642e6 2.00310e6i −0.125469 0.135382i
\(739\) 2.74291e7i 1.84757i −0.382917 0.923783i \(-0.625080\pi\)
0.382917 0.923783i \(-0.374920\pi\)
\(740\) −1.25986e6 + 583739.i −0.0845755 + 0.0391868i
\(741\) −2.00909e7 2.59976e7i −1.34417 1.73935i
\(742\) 3.01915e6 + 1.92860e6i 0.201315 + 0.128598i
\(743\) −3.05209e6 5.28638e6i −0.202827 0.351306i 0.746611 0.665260i \(-0.231680\pi\)
−0.949438 + 0.313954i \(0.898346\pi\)
\(744\) 5.04333e6 2.91021e6i 0.334030 0.192749i
\(745\) −2.31176e7 + 4.00409e7i −1.52599 + 2.64310i
\(746\) −1.35527e7 + 7.03404e6i −0.891617 + 0.462762i
\(747\) 4.89715e6 1.87919e7i 0.321101 1.23216i
\(748\) −4.74605e6 3.34054e6i −0.310155 0.218304i
\(749\) −1.40774e7 8.12760e6i −0.916893 0.529368i
\(750\) 2.47909e6 + 2.76318e7i 0.160931 + 1.79372i
\(751\) 1.95951e7 1.13132e7i 1.26779 0.731958i 0.293219 0.956045i \(-0.405274\pi\)
0.974569 + 0.224088i \(0.0719402\pi\)
\(752\) −4.68625e6 + 5.52972e6i −0.302190 + 0.356581i
\(753\) 504366. + 3.73194e6i 0.0324159 + 0.239854i
\(754\) 1.02665e7 + 460820.i 0.657651 + 0.0295191i
\(755\) 1.16901e7 0.746366
\(756\) −2.57033e6 + 1.20412e7i −0.163563 + 0.766238i
\(757\) 2.79038e7 1.76980 0.884900 0.465781i \(-0.154226\pi\)
0.884900 + 0.465781i \(0.154226\pi\)
\(758\) −1.16032e7 520819.i −0.733511 0.0329241i
\(759\) 51731.2 + 382773.i 0.00325948 + 0.0241178i
\(760\) 4.26660e7 1.74898e7i 2.67946 1.09838i
\(761\) 8.70509e6 5.02588e6i 0.544893 0.314594i −0.202166