Properties

Label 69.7.f.a.7.17
Level $69$
Weight $7$
Character 69.7
Analytic conductor $15.874$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 69 = 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 69.f (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(15.8737317698\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(24\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 7.17
Character \(\chi\) \(=\) 69.7
Dual form 69.7.f.a.10.17

$q$-expansion

\(f(q)\) \(=\) \(q+(4.04842 - 4.67213i) q^{2} +(-13.1138 + 8.42776i) q^{3} +(3.66909 + 25.5191i) q^{4} +(-6.23883 + 2.84918i) q^{5} +(-13.7148 + 95.3887i) q^{6} +(-83.3001 - 283.694i) q^{7} +(466.929 + 300.077i) q^{8} +(100.946 - 221.041i) q^{9} +O(q^{10})\) \(q+(4.04842 - 4.67213i) q^{2} +(-13.1138 + 8.42776i) q^{3} +(3.66909 + 25.5191i) q^{4} +(-6.23883 + 2.84918i) q^{5} +(-13.7148 + 95.3887i) q^{6} +(-83.3001 - 283.694i) q^{7} +(466.929 + 300.077i) q^{8} +(100.946 - 221.041i) q^{9} +(-11.9457 + 40.6833i) q^{10} +(-931.286 + 806.964i) q^{11} +(-263.185 - 303.731i) q^{12} +(-2357.37 - 692.187i) q^{13} +(-1662.69 - 759.325i) q^{14} +(57.8029 - 89.9430i) q^{15} +(1709.14 - 501.850i) q^{16} +(-4434.74 - 637.620i) q^{17} +(-624.058 - 1366.50i) q^{18} +(-5385.82 + 774.365i) q^{19} +(-95.5993 - 148.755i) q^{20} +(3483.29 + 3018.29i) q^{21} +7618.02i q^{22} +(-10720.4 - 5753.97i) q^{23} -8652.21 q^{24} +(-10201.4 + 11773.0i) q^{25} +(-12777.6 + 8211.68i) q^{26} +(539.088 + 3749.44i) q^{27} +(6933.98 - 3166.64i) q^{28} +(1597.10 - 11108.1i) q^{29} +(-186.215 - 634.190i) q^{30} +(23160.0 + 14884.0i) q^{31} +(-10182.0 + 22295.4i) q^{32} +(5411.84 - 18431.1i) q^{33} +(-20932.8 + 18138.3i) q^{34} +(1327.99 + 1532.58i) q^{35} +(6011.13 + 1765.03i) q^{36} +(-431.176 - 196.912i) q^{37} +(-18186.2 + 28298.2i) q^{38} +(36747.8 - 10790.1i) q^{39} +(-3768.06 - 541.765i) q^{40} +(-1055.50 - 2311.21i) q^{41} +(28203.7 - 4055.07i) q^{42} +(-16620.5 - 25862.0i) q^{43} +(-24010.0 - 20804.7i) q^{44} +1666.65i q^{45} +(-70284.1 + 26792.7i) q^{46} -75894.9 q^{47} +(-18184.0 + 20985.4i) q^{48} +(25429.2 - 16342.3i) q^{49} +(13705.6 + 95324.4i) q^{50} +(63530.3 - 29013.3i) q^{51} +(9014.56 - 62697.7i) q^{52} +(-46722.9 - 159124. i) q^{53} +(19700.3 + 12660.6i) q^{54} +(3510.95 - 7687.91i) q^{55} +(46234.8 - 157461. i) q^{56} +(64102.7 - 55545.3i) q^{57} +(-45432.5 - 52431.9i) q^{58} +(105793. + 31063.6i) q^{59} +(2507.35 + 1145.07i) q^{60} +(-118486. + 184368. i) q^{61} +(163302. - 47949.7i) q^{62} +(-71116.7 - 10225.0i) q^{63} +(110305. + 241533. i) q^{64} +(16679.4 - 2398.14i) q^{65} +(-64202.8 - 99901.5i) q^{66} +(174751. + 151423. i) q^{67} -115510. i q^{68} +(189079. - 14892.5i) q^{69} +12536.7 q^{70} +(370832. - 427963. i) q^{71} +(113464. - 72918.7i) q^{72} +(85740.2 + 596336. i) q^{73} +(-2665.58 + 1217.33i) q^{74} +(34559.2 - 240365. i) q^{75} +(-39522.2 - 134600. i) q^{76} +(306507. + 196980. i) q^{77} +(98357.7 - 215373. i) q^{78} +(123469. - 420497. i) q^{79} +(-9233.19 + 8000.61i) q^{80} +(-38668.9 - 44626.3i) q^{81} +(-15071.4 - 4425.35i) q^{82} +(-72747.6 - 33222.7i) q^{83} +(-64243.4 + 99964.7i) q^{84} +(29484.3 - 8657.38i) q^{85} +(-188117. - 27047.2i) q^{86} +(72671.9 + 159129. i) q^{87} +(-676995. + 97337.2i) q^{88} +(677036. + 1.05349e6i) q^{89} +(7786.79 + 6747.29i) q^{90} +726432. i q^{91} +(107502. - 294688. i) q^{92} -429156. q^{93} +(-307255. + 354591. i) q^{94} +(31394.9 - 20176.3i) q^{95} +(-54375.4 - 378189. i) q^{96} +(-1.24493e6 + 568542. i) q^{97} +(26594.5 - 184969. i) q^{98} +(84362.3 + 287312. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q + 20 q^{2} - 816 q^{4} + 324 q^{6} + 940 q^{8} - 5832 q^{9} + O(q^{10}) \) \( 240 q + 20 q^{2} - 816 q^{4} + 324 q^{6} + 940 q^{8} - 5832 q^{9} - 384 q^{13} + 33816 q^{16} + 22880 q^{17} + 4860 q^{18} - 31680 q^{19} - 157696 q^{20} + 36488 q^{23} + 39204 q^{24} + 200664 q^{25} + 99032 q^{26} - 202752 q^{28} - 181712 q^{29} - 128496 q^{31} + 439300 q^{32} - 400026 q^{34} + 368744 q^{35} + 42282 q^{36} + 446688 q^{37} + 550550 q^{38} - 52488 q^{39} - 156750 q^{40} - 606080 q^{41} - 1274130 q^{42} - 429000 q^{43} - 867482 q^{44} + 309288 q^{46} + 1111152 q^{47} + 837864 q^{48} + 722136 q^{49} + 1786926 q^{50} + 463320 q^{51} - 812550 q^{52} - 367840 q^{53} - 354294 q^{54} - 398088 q^{55} - 3696550 q^{56} - 1240272 q^{57} + 1903134 q^{58} + 545800 q^{59} + 2450250 q^{60} - 495264 q^{61} + 488776 q^{62} - 2699808 q^{64} - 290400 q^{67} + 23328 q^{69} - 392616 q^{70} + 255392 q^{71} + 228420 q^{72} + 1346880 q^{73} - 5387470 q^{74} + 365472 q^{75} + 2123022 q^{76} + 6134240 q^{77} + 171072 q^{78} + 4025472 q^{79} + 10626462 q^{80} - 1417176 q^{81} + 2025492 q^{82} - 2474560 q^{83} - 8866152 q^{85} - 15634300 q^{86} - 611712 q^{87} - 10636560 q^{88} - 5901720 q^{89} + 6566394 q^{92} - 2484432 q^{93} + 13931490 q^{94} + 8183072 q^{95} - 4682124 q^{96} + 12319560 q^{97} + 14139580 q^{98} + 2993760 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/69\mathbb{Z}\right)^\times\).

\(n\) \(28\) \(47\)
\(\chi(n)\) \(e\left(\frac{19}{22}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 4.04842 4.67213i 0.506053 0.584016i −0.444031 0.896011i \(-0.646452\pi\)
0.950084 + 0.311996i \(0.100997\pi\)
\(3\) −13.1138 + 8.42776i −0.485698 + 0.312139i
\(4\) 3.66909 + 25.5191i 0.0573295 + 0.398736i
\(5\) −6.23883 + 2.84918i −0.0499106 + 0.0227934i −0.440214 0.897893i \(-0.645097\pi\)
0.390303 + 0.920686i \(0.372370\pi\)
\(6\) −13.7148 + 95.3887i −0.0634945 + 0.441614i
\(7\) −83.3001 283.694i −0.242857 0.827097i −0.987226 0.159327i \(-0.949067\pi\)
0.744368 0.667769i \(-0.232751\pi\)
\(8\) 466.929 + 300.077i 0.911970 + 0.586088i
\(9\) 100.946 221.041i 0.138472 0.303211i
\(10\) −11.9457 + 40.6833i −0.0119457 + 0.0406833i
\(11\) −931.286 + 806.964i −0.699689 + 0.606284i −0.930316 0.366758i \(-0.880468\pi\)
0.230627 + 0.973042i \(0.425922\pi\)
\(12\) −263.185 303.731i −0.152306 0.175770i
\(13\) −2357.37 692.187i −1.07300 0.315060i −0.302922 0.953015i \(-0.597962\pi\)
−0.770073 + 0.637955i \(0.779780\pi\)
\(14\) −1662.69 759.325i −0.605936 0.276722i
\(15\) 57.8029 89.9430i 0.0171268 0.0266498i
\(16\) 1709.14 501.850i 0.417271 0.122522i
\(17\) −4434.74 637.620i −0.902655 0.129782i −0.324668 0.945828i \(-0.605253\pi\)
−0.577987 + 0.816046i \(0.696162\pi\)
\(18\) −624.058 1366.50i −0.107006 0.234310i
\(19\) −5385.82 + 774.365i −0.785220 + 0.112898i −0.523251 0.852179i \(-0.675281\pi\)
−0.261969 + 0.965076i \(0.584372\pi\)
\(20\) −95.5993 148.755i −0.0119499 0.0185944i
\(21\) 3483.29 + 3018.29i 0.376125 + 0.325914i
\(22\) 7618.02i 0.715441i
\(23\) −10720.4 5753.97i −0.881107 0.472916i
\(24\) −8652.21 −0.625883
\(25\) −10201.4 + 11773.0i −0.652889 + 0.753474i
\(26\) −12777.6 + 8211.68i −0.726992 + 0.467210i
\(27\) 539.088 + 3749.44i 0.0273885 + 0.190491i
\(28\) 6933.98 3166.64i 0.315870 0.144253i
\(29\) 1597.10 11108.1i 0.0654843 0.455453i −0.930527 0.366224i \(-0.880650\pi\)
0.996011 0.0892296i \(-0.0284405\pi\)
\(30\) −186.215 634.190i −0.00689685 0.0234885i
\(31\) 23160.0 + 14884.0i 0.777416 + 0.499615i 0.868175 0.496258i \(-0.165293\pi\)
−0.0907590 + 0.995873i \(0.528929\pi\)
\(32\) −10182.0 + 22295.4i −0.310729 + 0.680401i
\(33\) 5411.84 18431.1i 0.150593 0.512871i
\(34\) −20932.8 + 18138.3i −0.532586 + 0.461488i
\(35\) 1327.99 + 1532.58i 0.0309735 + 0.0357454i
\(36\) 6011.13 + 1765.03i 0.128839 + 0.0378307i
\(37\) −431.176 196.912i −0.00851236 0.00388746i 0.411154 0.911566i \(-0.365126\pi\)
−0.419667 + 0.907678i \(0.637853\pi\)
\(38\) −18186.2 + 28298.2i −0.331429 + 0.515713i
\(39\) 36747.8 10790.1i 0.619494 0.181900i
\(40\) −3768.06 541.765i −0.0588760 0.00846508i
\(41\) −1055.50 2311.21i −0.0153146 0.0335342i 0.901820 0.432112i \(-0.142231\pi\)
−0.917135 + 0.398577i \(0.869504\pi\)
\(42\) 28203.7 4055.07i 0.380678 0.0547332i
\(43\) −16620.5 25862.0i −0.209044 0.325279i 0.720860 0.693081i \(-0.243747\pi\)
−0.929904 + 0.367801i \(0.880111\pi\)
\(44\) −24010.0 20804.7i −0.281860 0.244233i
\(45\) 1666.65i 0.0182897i
\(46\) −70284.1 + 26792.7i −0.722077 + 0.275260i
\(47\) −75894.9 −0.731003 −0.365502 0.930811i \(-0.619103\pi\)
−0.365502 + 0.930811i \(0.619103\pi\)
\(48\) −18184.0 + 20985.4i −0.164424 + 0.189755i
\(49\) 25429.2 16342.3i 0.216145 0.138908i
\(50\) 13705.6 + 95324.4i 0.109645 + 0.762595i
\(51\) 63530.3 29013.3i 0.478928 0.218719i
\(52\) 9014.56 62697.7i 0.0641113 0.445904i
\(53\) −46722.9 159124.i −0.313836 1.06883i −0.953805 0.300426i \(-0.902871\pi\)
0.639970 0.768400i \(-0.278947\pi\)
\(54\) 19700.3 + 12660.6i 0.125110 + 0.0804033i
\(55\) 3510.95 7687.91i 0.0211026 0.0462083i
\(56\) 46234.8 157461.i 0.263272 0.896623i
\(57\) 64102.7 55545.3i 0.346140 0.299932i
\(58\) −45432.5 52431.9i −0.232854 0.268727i
\(59\) 105793. + 31063.6i 0.515111 + 0.151250i 0.528948 0.848654i \(-0.322586\pi\)
−0.0138373 + 0.999904i \(0.504405\pi\)
\(60\) 2507.35 + 1145.07i 0.0116081 + 0.00530124i
\(61\) −118486. + 184368.i −0.522010 + 0.812263i −0.997731 0.0673330i \(-0.978551\pi\)
0.475721 + 0.879596i \(0.342187\pi\)
\(62\) 163302. 47949.7i 0.685197 0.201192i
\(63\) −71116.7 10225.0i −0.284413 0.0408925i
\(64\) 110305. + 241533.i 0.420779 + 0.921377i
\(65\) 16679.4 2398.14i 0.0607352 0.00873240i
\(66\) −64202.8 99901.5i −0.223317 0.347488i
\(67\) 174751. + 151423.i 0.581025 + 0.503461i 0.895057 0.445951i \(-0.147134\pi\)
−0.314032 + 0.949412i \(0.601680\pi\)
\(68\) 115510.i 0.367361i
\(69\) 189079. 14892.5i 0.575568 0.0453337i
\(70\) 12536.7 0.0365501
\(71\) 370832. 427963.i 1.03610 1.19572i 0.0557545 0.998445i \(-0.482244\pi\)
0.980347 0.197280i \(-0.0632110\pi\)
\(72\) 113464. 72918.7i 0.303990 0.195363i
\(73\) 85740.2 + 596336.i 0.220402 + 1.53293i 0.736522 + 0.676414i \(0.236467\pi\)
−0.516120 + 0.856516i \(0.672624\pi\)
\(74\) −2665.58 + 1217.33i −0.00657804 + 0.00300409i
\(75\) 34559.2 240365.i 0.0819181 0.569753i
\(76\) −39522.2 134600.i −0.0900326 0.306623i
\(77\) 306507. + 196980.i 0.671380 + 0.431470i
\(78\) 98357.7 215373.i 0.207264 0.453846i
\(79\) 123469. 420497.i 0.250425 0.852868i −0.734311 0.678813i \(-0.762495\pi\)
0.984736 0.174055i \(-0.0556871\pi\)
\(80\) −9233.19 + 8000.61i −0.0180336 + 0.0156262i
\(81\) −38668.9 44626.3i −0.0727623 0.0839722i
\(82\) −15071.4 4425.35i −0.0273345 0.00802613i
\(83\) −72747.6 33222.7i −0.127228 0.0581033i 0.350784 0.936457i \(-0.385915\pi\)
−0.478012 + 0.878353i \(0.658643\pi\)
\(84\) −64243.4 + 99964.7i −0.108390 + 0.168659i
\(85\) 29484.3 8657.38i 0.0480103 0.0140971i
\(86\) −188117. 27047.2i −0.295756 0.0425233i
\(87\) 72671.9 + 159129.i 0.110359 + 0.241653i
\(88\) −676995. + 97337.2i −0.993431 + 0.142834i
\(89\) 677036. + 1.05349e6i 0.960376 + 1.49437i 0.866735 + 0.498769i \(0.166214\pi\)
0.0936415 + 0.995606i \(0.470149\pi\)
\(90\) 7786.79 + 6747.29i 0.0106815 + 0.00925554i
\(91\) 726432.i 0.963986i
\(92\) 107502. 294688.i 0.138055 0.378441i
\(93\) −429156. −0.533539
\(94\) −307255. + 354591.i −0.369926 + 0.426918i
\(95\) 31394.9 20176.3i 0.0366175 0.0235326i
\(96\) −54375.4 378189.i −0.0614595 0.427460i
\(97\) −1.24493e6 + 568542.i −1.36405 + 0.622942i −0.956900 0.290418i \(-0.906206\pi\)
−0.407153 + 0.913360i \(0.633478\pi\)
\(98\) 26594.5 184969.i 0.0282562 0.196526i
\(99\) 84362.3 + 287312.i 0.0869447 + 0.296106i
\(100\) −337867. 217134.i −0.337867 0.217134i
\(101\) 413781. 906055.i 0.401612 0.879408i −0.595492 0.803361i \(-0.703043\pi\)
0.997104 0.0760466i \(-0.0242298\pi\)
\(102\) 121643. 414280.i 0.114627 0.390385i
\(103\) −1.50800e6 + 1.30669e6i −1.38003 + 1.19581i −0.422893 + 0.906180i \(0.638985\pi\)
−0.957140 + 0.289625i \(0.906469\pi\)
\(104\) −893015. 1.03059e6i −0.793887 0.916195i
\(105\) −30331.3 8906.07i −0.0262013 0.00769340i
\(106\) −932600. 425904.i −0.783029 0.357597i
\(107\) 41004.9 63804.8i 0.0334722 0.0520837i −0.824114 0.566424i \(-0.808327\pi\)
0.857586 + 0.514340i \(0.171963\pi\)
\(108\) −93704.3 + 27514.1i −0.0743855 + 0.0218416i
\(109\) 115685. + 16633.0i 0.0893302 + 0.0128437i 0.186835 0.982391i \(-0.440177\pi\)
−0.0975048 + 0.995235i \(0.531086\pi\)
\(110\) −21705.1 47527.5i −0.0163074 0.0357081i
\(111\) 7313.90 1051.58i 0.00534786 0.000768907i
\(112\) −284744. 443070.i −0.202675 0.315368i
\(113\) −975265. 845072.i −0.675908 0.585677i 0.247783 0.968815i \(-0.420298\pi\)
−0.923691 + 0.383138i \(0.874843\pi\)
\(114\) 524367.i 0.353933i
\(115\) 83277.1 + 5353.61i 0.0547560 + 0.00352009i
\(116\) 289327. 0.185360
\(117\) −390968. + 451201.i −0.244109 + 0.281717i
\(118\) 573428. 368520.i 0.349006 0.224293i
\(119\) 188526. + 1.31122e6i 0.111874 + 0.778102i
\(120\) 53979.6 24651.7i 0.0312382 0.0142660i
\(121\) −36016.6 + 250501.i −0.0203304 + 0.141401i
\(122\) 381710. + 1.29998e6i 0.210210 + 0.715910i
\(123\) 33319.9 + 21413.4i 0.0179056 + 0.0115072i
\(124\) −294851. + 645633.i −0.154645 + 0.338626i
\(125\) 60293.5 205341.i 0.0308703 0.105134i
\(126\) −335683. + 290871.i −0.167810 + 0.145408i
\(127\) 1.12605e6 + 1.29953e6i 0.549726 + 0.634417i 0.960819 0.277176i \(-0.0893985\pi\)
−0.411094 + 0.911593i \(0.634853\pi\)
\(128\) 69914.6 + 20528.8i 0.0333379 + 0.00978888i
\(129\) 435917. + 199077.i 0.203065 + 0.0927366i
\(130\) 56320.9 87637.0i 0.0256353 0.0398894i
\(131\) −2.73849e6 + 804092.i −1.21814 + 0.357678i −0.826762 0.562552i \(-0.809819\pi\)
−0.391377 + 0.920230i \(0.628001\pi\)
\(132\) 490200. + 70480.1i 0.213133 + 0.0306440i
\(133\) 668322. + 1.46342e6i 0.284074 + 0.622035i
\(134\) 1.41493e6 203436.i 0.588059 0.0845501i
\(135\) −14046.1 21856.2i −0.00570893 0.00888326i
\(136\) −1.87937e6 1.62849e6i −0.747131 0.647393i
\(137\) 7802.66i 0.00303446i 0.999999 + 0.00151723i \(0.000482949\pi\)
−0.999999 + 0.00151723i \(0.999517\pi\)
\(138\) 695892. 943693.i 0.264792 0.359082i
\(139\) 3.49416e6 1.30106 0.650532 0.759479i \(-0.274546\pi\)
0.650532 + 0.759479i \(0.274546\pi\)
\(140\) −34237.6 + 39512.3i −0.0124773 + 0.0143995i
\(141\) 995274. 639624.i 0.355047 0.228175i
\(142\) −498213. 3.46515e6i −0.174000 1.21020i
\(143\) 2.75396e6 1.25769e6i 0.941779 0.430096i
\(144\) 61601.7 428449.i 0.0206303 0.143487i
\(145\) 21684.8 + 73851.7i 0.00711298 + 0.0242246i
\(146\) 3.13327e6 + 2.01363e6i 1.00679 + 0.647025i
\(147\) −195745. + 428622.i −0.0616224 + 0.134934i
\(148\) 3442.98 11725.7i 0.00106206 0.00361705i
\(149\) −225254. + 195184.i −0.0680948 + 0.0590045i −0.688243 0.725480i \(-0.741618\pi\)
0.620148 + 0.784484i \(0.287072\pi\)
\(150\) −983104. 1.13456e6i −0.291290 0.336167i
\(151\) 2.08964e6 + 613574.i 0.606934 + 0.178212i 0.570737 0.821133i \(-0.306658\pi\)
0.0361966 + 0.999345i \(0.488476\pi\)
\(152\) −2.74716e6 1.25459e6i −0.782265 0.357248i
\(153\) −588609. + 915893.i −0.164344 + 0.255724i
\(154\) 2.16119e6 634582.i 0.591739 0.173750i
\(155\) −186899. 26872.0i −0.0501893 0.00721613i
\(156\) 410185. + 898180.i 0.108045 + 0.236586i
\(157\) −17479.5 + 2513.17i −0.00451679 + 0.000649417i −0.144573 0.989494i \(-0.546181\pi\)
0.140056 + 0.990144i \(0.455272\pi\)
\(158\) −1.46476e6 2.27921e6i −0.371361 0.577848i
\(159\) 1.95377e6 + 1.69295e6i 0.486052 + 0.421166i
\(160\) 168107.i 0.0410418i
\(161\) −739354. + 3.52063e6i −0.177164 + 0.843612i
\(162\) −365047. −0.0858626
\(163\) 4.55725e6 5.25935e6i 1.05230 1.21442i 0.0762038 0.997092i \(-0.475720\pi\)
0.976098 0.217329i \(-0.0697345\pi\)
\(164\) 55107.3 35415.3i 0.0124933 0.00802897i
\(165\) 18749.8 + 130407.i 0.00417392 + 0.0290302i
\(166\) −449734. + 205386.i −0.0983176 + 0.0449001i
\(167\) −64954.8 + 451771.i −0.0139464 + 0.0969993i −0.995606 0.0936442i \(-0.970148\pi\)
0.981659 + 0.190644i \(0.0610575\pi\)
\(168\) 720730. + 2.45458e6i 0.152000 + 0.517666i
\(169\) 1.01751e6 + 653913.i 0.210804 + 0.135475i
\(170\) 78916.6 172803.i 0.0160628 0.0351726i
\(171\) −372511. + 1.26865e6i −0.0744990 + 0.253720i
\(172\) 598992. 519030.i 0.117716 0.102002i
\(173\) −4.76263e6 5.49637e6i −0.919832 1.06154i −0.997912 0.0645952i \(-0.979424\pi\)
0.0780799 0.996947i \(-0.475121\pi\)
\(174\) 1.03768e6 + 304690.i 0.196977 + 0.0578376i
\(175\) 4.18972e6 + 1.91338e6i 0.781755 + 0.357016i
\(176\) −1.18673e6 + 1.84658e6i −0.217677 + 0.338712i
\(177\) −1.64915e6 + 484234.i −0.297400 + 0.0873244i
\(178\) 7.66296e6 + 1.10177e6i 1.35874 + 0.195357i
\(179\) −1.64924e6 3.61133e6i −0.287557 0.629663i 0.709633 0.704571i \(-0.248861\pi\)
−0.997190 + 0.0749087i \(0.976133\pi\)
\(180\) −42531.3 + 6115.08i −0.00729275 + 0.00104854i
\(181\) −4.66146e6 7.25337e6i −0.786115 1.22322i −0.970674 0.240398i \(-0.922722\pi\)
0.184559 0.982821i \(-0.440914\pi\)
\(182\) 3.39398e6 + 2.94090e6i 0.562983 + 0.487828i
\(183\) 3.41635e6i 0.557454i
\(184\) −3.27905e6 5.90365e6i −0.526373 0.947692i
\(185\) 3251.07 0.000513466
\(186\) −1.73740e6 + 2.00507e6i −0.269999 + 0.311595i
\(187\) 4.64455e6 2.98487e6i 0.710263 0.456458i
\(188\) −278465. 1.93677e6i −0.0419081 0.291477i
\(189\) 1.01879e6 465265.i 0.150903 0.0689152i
\(190\) 32833.7 228363.i 0.00478695 0.0332940i
\(191\) 1.19134e6 + 4.05732e6i 0.170976 + 0.582290i 0.999742 + 0.0226957i \(0.00722487\pi\)
−0.828767 + 0.559594i \(0.810957\pi\)
\(192\) −3.48210e6 2.23781e6i −0.491969 0.316169i
\(193\) −4.78355e6 + 1.04745e7i −0.665394 + 1.45701i 0.212016 + 0.977266i \(0.431997\pi\)
−0.877409 + 0.479743i \(0.840730\pi\)
\(194\) −2.38371e6 + 8.11819e6i −0.326474 + 1.11187i
\(195\) −198520. + 172019.i −0.0267732 + 0.0231991i
\(196\) 510344. + 588968.i 0.0677789 + 0.0782210i
\(197\) −4.41487e6 1.29632e6i −0.577457 0.169557i −0.0200541 0.999799i \(-0.506384\pi\)
−0.557403 + 0.830242i \(0.688202\pi\)
\(198\) 1.68389e6 + 769007.i 0.216929 + 0.0990683i
\(199\) 2.16657e6 3.37125e6i 0.274924 0.427791i −0.676145 0.736769i \(-0.736351\pi\)
0.951069 + 0.308978i \(0.0999870\pi\)
\(200\) −8.29614e6 + 2.43597e6i −1.03702 + 0.304496i
\(201\) −3.56781e6 512973.i −0.439353 0.0631694i
\(202\) −2.55804e6 5.60133e6i −0.310351 0.679574i
\(203\) −3.28433e6 + 472215.i −0.392607 + 0.0564484i
\(204\) 973491. + 1.51478e6i 0.114668 + 0.178427i
\(205\) 13170.1 + 11412.0i 0.00152872 + 0.00132464i
\(206\) 1.23356e7i 1.41110i
\(207\) −2.35404e6 + 1.78881e6i −0.265402 + 0.201676i
\(208\) −4.37646e6 −0.486332
\(209\) 4.39086e6 5.06732e6i 0.480962 0.555059i
\(210\) −164404. + 105656.i −0.0177523 + 0.0114087i
\(211\) 700777. + 4.87401e6i 0.0745989 + 0.518847i 0.992520 + 0.122083i \(0.0389575\pi\)
−0.917921 + 0.396763i \(0.870133\pi\)
\(212\) 3.88926e6 1.77616e6i 0.408187 0.186413i
\(213\) −1.25627e6 + 8.73752e6i −0.130000 + 0.904169i
\(214\) −132099. 449889.i −0.0134790 0.0459054i
\(215\) 177378. + 113994.i 0.0178478 + 0.0114701i
\(216\) −873404. + 1.91249e6i −0.0866671 + 0.189774i
\(217\) 2.29328e6 7.81020e6i 0.224429 0.764334i
\(218\) 546054. 473159.i 0.0527067 0.0456707i
\(219\) −6.15016e6 7.09766e6i −0.585536 0.675745i
\(220\) 209070. + 61388.6i 0.0196347 + 0.00576527i
\(221\) 1.00130e7 + 4.57278e6i 0.927656 + 0.423646i
\(222\) 24696.7 38428.7i 0.00225725 0.00351235i
\(223\) −1.13981e7 + 3.34679e6i −1.02782 + 0.301796i −0.751825 0.659363i \(-0.770826\pi\)
−0.275997 + 0.961158i \(0.589008\pi\)
\(224\) 7.17323e6 + 1.03135e6i 0.638220 + 0.0917622i
\(225\) 1.57253e6 + 3.44336e6i 0.138055 + 0.302298i
\(226\) −7.89657e6 + 1.13536e6i −0.684090 + 0.0983573i
\(227\) −7.12870e6 1.10925e7i −0.609443 0.948311i −0.999620 0.0275714i \(-0.991223\pi\)
0.390177 0.920740i \(-0.372414\pi\)
\(228\) 1.65266e6 + 1.43204e6i 0.139438 + 0.120823i
\(229\) 1.32226e7i 1.10106i −0.834817 0.550528i \(-0.814427\pi\)
0.834817 0.550528i \(-0.185573\pi\)
\(230\) 362153. 367407.i 0.0297652 0.0301970i
\(231\) −5.67959e6 −0.460766
\(232\) 4.07900e6 4.70742e6i 0.326655 0.376980i
\(233\) −1.43569e7 + 9.22661e6i −1.13499 + 0.729414i −0.966596 0.256305i \(-0.917495\pi\)
−0.168395 + 0.985720i \(0.553858\pi\)
\(234\) 525266. + 3.65331e6i 0.0409951 + 0.285127i
\(235\) 473496. 216238.i 0.0364848 0.0166621i
\(236\) −404551. + 2.81372e6i −0.0307778 + 0.214064i
\(237\) 1.92469e6 + 6.55491e6i 0.144583 + 0.492404i
\(238\) 6.88944e6 + 4.42758e6i 0.511038 + 0.328424i
\(239\) 2.86664e6 6.27706e6i 0.209981 0.459793i −0.775111 0.631825i \(-0.782306\pi\)
0.985091 + 0.172032i \(0.0550333\pi\)
\(240\) 53655.5 182734.i 0.00388133 0.0132186i
\(241\) −8.57791e6 + 7.43280e6i −0.612817 + 0.531009i −0.905032 0.425344i \(-0.860153\pi\)
0.292215 + 0.956353i \(0.405608\pi\)
\(242\) 1.02456e6 + 1.18241e6i 0.0722923 + 0.0834297i
\(243\) 883197. + 259330.i 0.0615515 + 0.0180732i
\(244\) −5.13965e6 2.34720e6i −0.353805 0.161577i
\(245\) −112086. + 174409.i −0.00762173 + 0.0118596i
\(246\) 234939. 68984.4i 0.0157816 0.00463389i
\(247\) 1.32324e7 + 1.90253e6i 0.878107 + 0.126253i
\(248\) 6.34772e6 + 1.38996e7i 0.416162 + 0.911268i
\(249\) 1.23399e6 177421.i 0.0799309 0.0114923i
\(250\) −715285. 1.11300e6i −0.0457782 0.0712323i
\(251\) 3.06314e6 + 2.65422e6i 0.193707 + 0.167848i 0.746314 0.665594i \(-0.231822\pi\)
−0.552607 + 0.833442i \(0.686367\pi\)
\(252\) 1.85235e6i 0.115750i
\(253\) 1.46270e7 3.29241e6i 0.903223 0.203307i
\(254\) 1.06303e7 0.648700
\(255\) −313690. + 362018.i −0.0189182 + 0.0218328i
\(256\) −1.39172e7 + 8.94402e6i −0.829528 + 0.533105i
\(257\) −557361. 3.87653e6i −0.0328350 0.228372i 0.966796 0.255551i \(-0.0822568\pi\)
−0.999631 + 0.0271785i \(0.991348\pi\)
\(258\) 2.69489e6 1.23071e6i 0.156921 0.0716635i
\(259\) −19945.6 + 138725.i −0.00114802 + 0.00798464i
\(260\) 122396. + 416844.i 0.00696384 + 0.0237167i
\(261\) −2.29411e6 1.47434e6i −0.129031 0.0829229i
\(262\) −7.32973e6 + 1.60499e7i −0.407553 + 0.892416i
\(263\) 9.42923e6 3.21130e7i 0.518333 1.76528i −0.117095 0.993121i \(-0.537358\pi\)
0.635428 0.772160i \(-0.280824\pi\)
\(264\) 8.05768e6 6.98202e6i 0.437923 0.379463i
\(265\) 744868. + 859623.i 0.0400259 + 0.0461924i
\(266\) 9.54295e6 + 2.80206e6i 0.507035 + 0.148879i
\(267\) −1.77571e7 8.10939e6i −0.932906 0.426044i
\(268\) −3.22299e6 + 5.01507e6i −0.167438 + 0.260539i
\(269\) −8.76212e6 + 2.57279e6i −0.450145 + 0.132174i −0.498944 0.866634i \(-0.666279\pi\)
0.0487993 + 0.998809i \(0.484461\pi\)
\(270\) −158979. 22857.8i −0.00807698 0.00116129i
\(271\) −2.30960e6 5.05733e6i −0.116046 0.254105i 0.842692 0.538395i \(-0.180969\pi\)
−0.958738 + 0.284290i \(0.908242\pi\)
\(272\) −7.89960e6 + 1.13579e6i −0.392553 + 0.0564406i
\(273\) −6.12219e6 9.52631e6i −0.300898 0.468206i
\(274\) 36455.0 + 31588.4i 0.00177217 + 0.00153559i
\(275\) 1.91962e7i 0.923034i
\(276\) 1.07379e6 + 4.77049e6i 0.0510732 + 0.226900i
\(277\) 2.48195e7 1.16776 0.583880 0.811840i \(-0.301534\pi\)
0.583880 + 0.811840i \(0.301534\pi\)
\(278\) 1.41458e7 1.63252e7i 0.658407 0.759842i
\(279\) 5.62788e6 3.61682e6i 0.259139 0.166538i
\(280\) 160184. + 1.11411e6i 0.00729702 + 0.0507519i
\(281\) −3.52579e6 + 1.61017e6i −0.158905 + 0.0725695i −0.493280 0.869871i \(-0.664202\pi\)
0.334375 + 0.942440i \(0.391475\pi\)
\(282\) 1.04089e6 7.23952e6i 0.0464147 0.322821i
\(283\) 1.30713e6 + 4.45167e6i 0.0576711 + 0.196410i 0.983290 0.182048i \(-0.0582726\pi\)
−0.925618 + 0.378458i \(0.876454\pi\)
\(284\) 1.22818e7 + 7.89306e6i 0.536178 + 0.344580i
\(285\) −241667. + 529178.i −0.0104396 + 0.0228595i
\(286\) 5.27309e6 1.79585e7i 0.225407 0.767665i
\(287\) −567754. + 491962.i −0.0240168 + 0.0208107i
\(288\) 3.90036e6 + 4.50125e6i 0.163278 + 0.188433i
\(289\) −3.89943e6 1.14497e6i −0.161550 0.0474354i
\(290\) 432834. + 197669.i 0.0177471 + 0.00810482i
\(291\) 1.15343e7 1.79478e7i 0.468073 0.728336i
\(292\) −1.49034e7 + 4.37602e6i −0.598598 + 0.175764i
\(293\) −3.22592e7 4.63817e6i −1.28248 0.184393i −0.532827 0.846224i \(-0.678870\pi\)
−0.749653 + 0.661831i \(0.769780\pi\)
\(294\) 1.21012e6 + 2.64979e6i 0.0476196 + 0.104272i
\(295\) −748530. + 107622.i −0.0291570 + 0.00419215i
\(296\) −142240. 221330.i −0.00548462 0.00853424i
\(297\) −3.52771e6 3.05678e6i −0.134655 0.116679i
\(298\) 1.84260e6i 0.0696278i
\(299\) 2.12892e7 + 2.09848e7i 0.796428 + 0.785039i
\(300\) 6.26069e6 0.231877
\(301\) −5.95240e6 + 6.86944e6i −0.218269 + 0.251896i
\(302\) 1.13265e7 7.27907e6i 0.411219 0.264274i
\(303\) 2.20974e6 + 1.53691e7i 0.0794354 + 0.552485i
\(304\) −8.81653e6 + 4.02637e6i −0.313817 + 0.143316i
\(305\) 213918. 1.48783e6i 0.00753959 0.0524390i
\(306\) 1.89623e6 + 6.45798e6i 0.0661801 + 0.225389i
\(307\) 2.30356e7 + 1.48041e7i 0.796131 + 0.511642i 0.874351 0.485294i \(-0.161287\pi\)
−0.0782204 + 0.996936i \(0.524924\pi\)
\(308\) −3.90215e6 + 8.54452e6i −0.133552 + 0.292439i
\(309\) 8.76321e6 2.98448e7i 0.297022 1.01156i
\(310\) −882194. + 764425.i −0.0296128 + 0.0256596i
\(311\) −2.52574e7 2.91486e7i −0.839669 0.969030i 0.160168 0.987090i \(-0.448796\pi\)
−0.999837 + 0.0180601i \(0.994251\pi\)
\(312\) 2.03965e7 + 5.98894e6i 0.671570 + 0.197191i
\(313\) −2.08377e7 9.51627e6i −0.679544 0.310337i 0.0455751 0.998961i \(-0.485488\pi\)
−0.725119 + 0.688624i \(0.758215\pi\)
\(314\) −59022.6 + 91840.9i −0.00190647 + 0.00296652i
\(315\) 472818. 138832.i 0.0151273 0.00444179i
\(316\) 1.11837e7 + 1.60798e6i 0.354426 + 0.0509587i
\(317\) 1.61195e7 + 3.52968e7i 0.506028 + 1.10805i 0.974463 + 0.224548i \(0.0720907\pi\)
−0.468435 + 0.883498i \(0.655182\pi\)
\(318\) 1.58194e7 2.27448e6i 0.491935 0.0707296i
\(319\) 7.47644e6 + 1.16336e7i 0.230315 + 0.358378i
\(320\) −1.37634e6 1.19261e6i −0.0420027 0.0363955i
\(321\) 1.18231e6i 0.0357449i
\(322\) 1.34556e7 + 1.77074e7i 0.403029 + 0.530379i
\(323\) 2.43785e7 0.723435
\(324\) 996942. 1.15053e6i 0.0293113 0.0338270i
\(325\) 3.21976e7 2.06922e7i 0.937937 0.602775i
\(326\) −6.12268e6 4.25841e7i −0.176721 1.22912i
\(327\) −1.65726e6 + 756844.i −0.0473965 + 0.0216453i
\(328\) 200700. 1.39590e6i 0.00568757 0.0395579i
\(329\) 6.32206e6 + 2.15309e7i 0.177530 + 0.604610i
\(330\) 685187. + 440343.i 0.0190664 + 0.0122532i
\(331\) −1.72175e7 + 3.77011e7i −0.474774 + 1.03961i 0.509094 + 0.860711i \(0.329981\pi\)
−0.983868 + 0.178899i \(0.942747\pi\)
\(332\) 580896. 1.97835e6i 0.0158739 0.0540616i
\(333\) −87050.9 + 75430.1i −0.00235744 + 0.00204273i
\(334\) 1.84777e6 + 2.13244e6i 0.0495915 + 0.0572317i
\(335\) −1.52167e6 446803.i −0.0404750 0.0118845i
\(336\) 7.46816e6 + 3.41060e6i 0.196877 + 0.0899109i
\(337\) −3.32954e7 + 5.18087e7i −0.869951 + 1.35367i 0.0646259 + 0.997910i \(0.479415\pi\)
−0.934577 + 0.355761i \(0.884222\pi\)
\(338\) 7.17447e6 2.10661e6i 0.185797 0.0545550i
\(339\) 1.99115e7 + 2.86285e6i 0.511100 + 0.0734851i
\(340\) 329109. + 720648.i 0.00837342 + 0.0183352i
\(341\) −3.35795e7 + 4.82800e6i −0.846858 + 0.121760i
\(342\) 4.41924e6 + 6.87647e6i 0.110476 + 0.171904i
\(343\) −3.30435e7 2.86324e7i −0.818849 0.709537i
\(344\) 1.70631e7i 0.419163i
\(345\) −1.13720e6 + 631632.i −0.0276936 + 0.0153818i
\(346\) −4.49608e7 −1.08544
\(347\) 1.23123e7 1.42091e7i 0.294680 0.340079i −0.589032 0.808110i \(-0.700491\pi\)
0.883712 + 0.468031i \(0.155036\pi\)
\(348\) −3.79419e6 + 2.43838e6i −0.0900289 + 0.0578580i
\(349\) 7.98403e6 + 5.55301e7i 0.187822 + 1.30633i 0.837633 + 0.546233i \(0.183939\pi\)
−0.649811 + 0.760096i \(0.725152\pi\)
\(350\) 2.59013e7 1.18287e7i 0.604112 0.275889i
\(351\) 1.32448e6 9.21197e6i 0.0306284 0.213025i
\(352\) −8.50925e6 2.89798e7i −0.195103 0.664459i
\(353\) −6.88227e6 4.42297e6i −0.156462 0.100552i 0.460067 0.887884i \(-0.347825\pi\)
−0.616529 + 0.787332i \(0.711462\pi\)
\(354\) −4.41405e6 + 9.66542e6i −0.0995010 + 0.217877i
\(355\) −1.09422e6 + 3.72656e6i −0.0244578 + 0.0832957i
\(356\) −2.43999e7 + 2.11427e7i −0.540803 + 0.468608i
\(357\) −1.35230e7 1.56064e7i −0.297213 0.343002i
\(358\) −2.35494e7 6.91473e6i −0.513252 0.150704i
\(359\) 8.83696e6 + 4.03571e6i 0.190994 + 0.0872240i 0.508616 0.860993i \(-0.330157\pi\)
−0.317622 + 0.948217i \(0.602884\pi\)
\(360\) −500122. + 778205.i −0.0107194 + 0.0166796i
\(361\) −1.67327e7 + 4.91317e6i −0.355668 + 0.104434i
\(362\) −5.27602e7 7.58578e6i −1.11220 0.159910i
\(363\) −1.63884e6 3.58857e6i −0.0342624 0.0750242i
\(364\) −1.85379e7 + 2.66534e6i −0.384376 + 0.0552649i
\(365\) −2.23399e6 3.47615e6i −0.0459411 0.0714858i
\(366\) −1.59616e7 1.38308e7i −0.325562 0.282101i
\(367\) 1.12381e7i 0.227350i 0.993518 + 0.113675i \(0.0362623\pi\)
−0.993518 + 0.113675i \(0.963738\pi\)
\(368\) −2.12104e7 4.45431e6i −0.425603 0.0893793i
\(369\) −617420. −0.0122886
\(370\) 13161.7 15189.4i 0.000259841 0.000299872i
\(371\) −4.12504e7 + 2.65100e7i −0.807805 + 0.519145i
\(372\) −1.57461e6 1.09517e7i −0.0305875 0.212741i
\(373\) −1.10510e7 + 5.04684e6i −0.212950 + 0.0972508i −0.519034 0.854754i \(-0.673708\pi\)
0.306085 + 0.952004i \(0.400981\pi\)
\(374\) 4.85740e6 3.37840e7i 0.0928515 0.645797i
\(375\) 939882. + 3.20094e6i 0.0178229 + 0.0606994i
\(376\) −3.54375e7 2.27743e7i −0.666653 0.428432i
\(377\) −1.14538e7 + 2.50803e7i −0.213760 + 0.468068i
\(378\) 1.95071e6 6.64349e6i 0.0361174 0.123005i
\(379\) 6.44453e7 5.58421e7i 1.18379 1.02576i 0.184710 0.982793i \(-0.440865\pi\)
0.999077 0.0429636i \(-0.0136800\pi\)
\(380\) 630072. + 727141.i 0.0114826 + 0.0132516i
\(381\) −2.57189e7 7.55176e6i −0.465027 0.136544i
\(382\) 2.37794e7 + 1.08597e7i 0.426589 + 0.194817i
\(383\) −3.53462e7 + 5.49998e7i −0.629139 + 0.978959i 0.369622 + 0.929182i \(0.379487\pi\)
−0.998760 + 0.0497767i \(0.984149\pi\)
\(384\) −1.08986e6 + 320012.i −0.0192476 + 0.00565161i
\(385\) −2.47348e6 355632.i −0.0433437 0.00623188i
\(386\) 2.95725e7 + 6.47546e7i 0.514192 + 1.12592i
\(387\) −7.39432e6 + 1.06314e6i −0.127575 + 0.0183425i
\(388\) −1.90765e7 2.96835e7i −0.326590 0.508183i
\(389\) −5.79756e7 5.02361e7i −0.984910 0.853429i 0.00429201 0.999991i \(-0.498634\pi\)
−0.989202 + 0.146562i \(0.953179\pi\)
\(390\) 1.62392e6i 0.0273760i
\(391\) 4.38735e7 + 3.23530e7i 0.733960 + 0.541232i
\(392\) 1.67776e7 0.278529
\(393\) 2.91354e7 3.36240e7i 0.480002 0.553952i
\(394\) −2.39299e7 + 1.53788e7i −0.391247 + 0.251439i
\(395\) 427769. + 2.97520e6i 0.00694093 + 0.0482752i
\(396\) −7.02240e6 + 3.20702e6i −0.113084 + 0.0516436i
\(397\) −3.60283e6 + 2.50582e7i −0.0575801 + 0.400478i 0.940566 + 0.339612i \(0.110296\pi\)
−0.998146 + 0.0608669i \(0.980613\pi\)
\(398\) −6.97971e6 2.37707e7i −0.110710 0.377045i
\(399\) −2.10976e7 1.35586e7i −0.332135 0.213450i
\(400\) −1.15273e7 + 2.52414e7i −0.180115 + 0.394396i
\(401\) −3.77773e6 + 1.28658e7i −0.0585865 + 0.199527i −0.983586 0.180442i \(-0.942247\pi\)
0.924999 + 0.379969i \(0.124065\pi\)
\(402\) −1.68407e7 + 1.45925e7i −0.259228 + 0.224622i
\(403\) −4.42942e7 5.11182e7i −0.676756 0.781018i
\(404\) 2.46399e7 + 7.23492e6i 0.373675 + 0.109721i
\(405\) 368397. + 168241.i 0.00554563 + 0.00253260i
\(406\) −1.10901e7 + 1.72565e7i −0.165713 + 0.257855i
\(407\) 560449. 164563.i 0.00831291 0.00244089i
\(408\) 3.83703e7 + 5.51682e6i 0.564956 + 0.0812285i
\(409\) 3.77323e7 + 8.26222e7i 0.551497 + 1.20761i 0.956079 + 0.293109i \(0.0946898\pi\)
−0.404582 + 0.914502i \(0.632583\pi\)
\(410\) 106636. 15332.0i 0.00154723 0.000222457i
\(411\) −65758.9 102323.i −0.000947172 0.00147383i
\(412\) −3.88785e7 3.36884e7i −0.555927 0.481713i
\(413\) 3.26005e7i 0.462779i
\(414\) −1.17261e6 + 1.82403e7i −0.0165254 + 0.257057i
\(415\) 548517. 0.00767443
\(416\) 3.94352e7 4.55107e7i 0.547778 0.632169i
\(417\) −4.58219e7 + 2.94480e7i −0.631924 + 0.406113i
\(418\) −5.89912e6 4.10293e7i −0.0807716 0.561779i
\(419\) 9.30962e7 4.25156e7i 1.26558 0.577972i 0.334367 0.942443i \(-0.391478\pi\)
0.931215 + 0.364471i \(0.118750\pi\)
\(420\) 115987. 806704.i 0.00156552 0.0108885i
\(421\) 2.29941e7 + 7.83106e7i 0.308155 + 1.04948i 0.957367 + 0.288873i \(0.0932805\pi\)
−0.649212 + 0.760607i \(0.724901\pi\)
\(422\) 2.56090e7 + 1.64579e7i 0.340766 + 0.218997i
\(423\) −7.66128e6 + 1.67759e7i −0.101223 + 0.221648i
\(424\) 2.59330e7 8.83198e7i 0.340217 1.15867i
\(425\) 5.27473e7 4.57058e7i 0.687121 0.595394i
\(426\) 3.57369e7 + 4.12426e7i 0.462262 + 0.533479i
\(427\) 6.21741e7 + 1.82560e7i 0.798594 + 0.234488i
\(428\) 1.77869e6 + 812301.i 0.0226866 + 0.0103606i
\(429\) −2.55155e7 + 3.97028e7i −0.323170 + 0.502863i
\(430\) 1.25069e6 367237.i 0.0157306 0.00461892i
\(431\) 1.08350e8 + 1.55784e7i 1.35331 + 0.194577i 0.780523 0.625127i \(-0.214953\pi\)
0.572788 + 0.819704i \(0.305862\pi\)
\(432\) 2.80303e6 + 6.13778e6i 0.0347678 + 0.0761308i
\(433\) 6.65423e7 9.56734e6i 0.819661 0.117849i 0.280287 0.959916i \(-0.409570\pi\)
0.539373 + 0.842067i \(0.318661\pi\)
\(434\) −2.72061e7 4.23335e7i −0.332810 0.517863i
\(435\) −906775. 785725.i −0.0110162 0.00954559i
\(436\) 3.01321e6i 0.0363555i
\(437\) 6.21940e7 + 2.26883e7i 0.745254 + 0.271868i
\(438\) −5.80596e7 −0.690958
\(439\) 8.86062e7 1.02257e8i 1.04730 1.20865i 0.0698324 0.997559i \(-0.477754\pi\)
0.977467 0.211089i \(-0.0677010\pi\)
\(440\) 3.94633e6 2.53615e6i 0.0463271 0.0297726i
\(441\) −1.04535e6 7.27057e6i −0.0121884 0.0847721i
\(442\) 6.19014e7 2.82694e7i 0.716859 0.327379i
\(443\) −7.15063e6 + 4.97337e7i −0.0822495 + 0.572058i 0.906469 + 0.422272i \(0.138767\pi\)
−0.988719 + 0.149785i \(0.952142\pi\)
\(444\) 53670.8 + 182786.i 0.000613181 + 0.00208830i
\(445\) −7.22549e6 4.64354e6i −0.0819949 0.0526949i
\(446\) −3.05077e7 + 6.68026e7i −0.343879 + 0.752989i
\(447\) 1.30899e6 4.45800e6i 0.0146559 0.0499134i
\(448\) 5.93332e7 5.14125e7i 0.659878 0.571788i
\(449\) 1.01907e8 + 1.17607e8i 1.12581 + 1.29926i 0.949093 + 0.314995i \(0.102003\pi\)
0.176719 + 0.984261i \(0.443452\pi\)
\(450\) 2.24541e7 + 6.59312e6i 0.246410 + 0.0723524i
\(451\) 2.84803e6 + 1.30065e6i 0.0310467 + 0.0141785i
\(452\) 1.79871e7 2.79885e7i 0.194781 0.303085i
\(453\) −3.25743e7 + 9.56468e6i −0.350413 + 0.102891i
\(454\) −8.06854e7 1.16008e7i −0.862239 0.123971i
\(455\) −2.06973e6 4.53208e6i −0.0219725 0.0481131i
\(456\) 4.65993e7 6.69996e6i 0.491456 0.0706607i
\(457\) −7.46595e7 1.16172e8i −0.782234 1.21718i −0.971915 0.235333i \(-0.924382\pi\)
0.189681 0.981846i \(-0.439255\pi\)
\(458\) −6.17775e7 5.35305e7i −0.643034 0.557192i
\(459\) 1.69715e7i 0.175502i
\(460\) 168932. + 2.14480e6i 0.00173555 + 0.0220350i
\(461\) −4.52428e7 −0.461793 −0.230896 0.972978i \(-0.574166\pi\)
−0.230896 + 0.972978i \(0.574166\pi\)
\(462\) −2.29934e7 + 2.65358e7i −0.233172 + 0.269095i
\(463\) 8.29603e7 5.33154e7i 0.835848 0.537167i −0.0512831 0.998684i \(-0.516331\pi\)
0.887131 + 0.461517i \(0.152695\pi\)
\(464\) −2.84490e6 1.97867e7i −0.0284783 0.198071i
\(465\) 2.67743e6 1.22274e6i 0.0266293 0.0121612i
\(466\) −1.50148e7 + 1.04430e8i −0.148376 + 1.03198i
\(467\) 1.50944e7 + 5.14069e7i 0.148206 + 0.504744i 0.999811 0.0194405i \(-0.00618850\pi\)
−0.851605 + 0.524184i \(0.824370\pi\)
\(468\) −1.29487e7 8.32165e6i −0.126325 0.0811843i
\(469\) 2.84009e7 6.21893e7i 0.275305 0.602833i
\(470\) 906617. 3.08766e6i 0.00873234 0.0297396i
\(471\) 208043. 180270.i 0.00199109 0.00172529i
\(472\) 4.00763e7 + 4.62505e7i 0.381120 + 0.439836i
\(473\) 3.63481e7 + 1.06728e7i 0.343478 + 0.100854i
\(474\) 3.84173e7 + 1.75446e7i 0.360738 + 0.164744i
\(475\) 4.58263e7 7.13071e7i 0.427596 0.665353i
\(476\) −3.27695e7 + 9.62201e6i −0.303843 + 0.0892164i
\(477\) −3.98892e7 5.73521e6i −0.367537 0.0528438i
\(478\) −1.77219e7 3.88055e7i −0.162265 0.355312i
\(479\) −1.67008e7 + 2.40122e6i −0.151961 + 0.0218487i −0.217875 0.975977i \(-0.569913\pi\)
0.0659146 + 0.997825i \(0.479004\pi\)
\(480\) 1.41677e6 + 2.20453e6i 0.0128108 + 0.0199339i
\(481\) 880143. + 762649.i 0.00790894 + 0.00685313i
\(482\) 7.01682e7i 0.626613i
\(483\) −1.99752e7 5.24001e7i −0.177276 0.465040i
\(484\) −6.52470e6 −0.0575472
\(485\) 6.14705e6 7.09408e6i 0.0538817 0.0621828i
\(486\) 4.78718e6 3.07653e6i 0.0417033 0.0268011i
\(487\) −6.75043e6 4.69503e7i −0.0584447 0.406491i −0.997952 0.0639634i \(-0.979626\pi\)
0.939508 0.342528i \(-0.111283\pi\)
\(488\) −1.10649e8 + 5.05319e7i −0.952115 + 0.434816i
\(489\) −1.54386e7 + 1.07378e8i −0.132033 + 0.918307i
\(490\) 361091. + 1.22976e6i 0.00306922 + 0.0104528i
\(491\) −1.73888e7 1.11751e7i −0.146901 0.0944074i 0.465126 0.885245i \(-0.346009\pi\)
−0.612027 + 0.790837i \(0.709645\pi\)
\(492\) −424197. + 928862.i −0.00356182 + 0.00779931i
\(493\) −1.41654e7 + 4.82430e7i −0.118220 + 0.402619i
\(494\) 6.24592e7 5.41212e7i 0.518102 0.448938i
\(495\) −1.34492e6 1.55213e6i −0.0110887 0.0127971i
\(496\) 4.70533e7 + 1.38161e7i 0.385607 + 0.113224i
\(497\) −1.52301e8 6.95535e7i −1.24061 0.566565i
\(498\) 4.16679e6 6.48365e6i 0.0337376 0.0524967i
\(499\) −1.10537e8 + 3.24566e7i −0.889625 + 0.261217i −0.694441 0.719549i \(-0.744348\pi\)
−0.195183 + 0.980767i \(0.562530\pi\)
\(500\) 5.46133e6 + 785221.i 0.0436906 + 0.00628176i
\(501\) −2.95561e6 6.47187e6i −0.0235035 0.0514656i
\(502\) 2.48017e7 3.56595e6i 0.196052 0.0281880i
\(503\) −2.74276e7 4.26782e7i −0.215518 0.335353i 0.716615 0.697469i \(-0.245691\pi\)
−0.932133 + 0.362116i \(0.882054\pi\)
\(504\) −3.01381e7 2.61148e7i −0.235410 0.203984i
\(505\) 6.83166e6i 0.0530459i
\(506\) 4.38338e7 8.16685e7i 0.338344 0.630380i
\(507\) −1.88545e7 −0.144674
\(508\) −2.90312e7 + 3.35038e7i −0.221449 + 0.255566i
\(509\) −1.69946e8 + 1.09217e8i −1.28871 + 0.828206i −0.991936 0.126741i \(-0.959548\pi\)
−0.296778 + 0.954947i \(0.595912\pi\)
\(510\) 421443. + 2.93120e6i 0.00317708 + 0.0220971i
\(511\) 1.62035e8 7.39988e7i 1.21435 0.554577i
\(512\) −1.52186e7 + 1.05848e8i −0.113388 + 0.788628i
\(513\) −5.80687e6 1.97764e7i −0.0430120 0.146485i
\(514\) −2.03681e7 1.30898e7i −0.149989 0.0963923i
\(515\) 5.68516e6 1.24488e7i 0.0416218 0.0911391i
\(516\) −3.48083e6 + 1.18546e7i −0.0253358 + 0.0862857i
\(517\) 7.06799e7 6.12445e7i 0.511475 0.443195i
\(518\) 567393. + 654806.i 0.00408220 + 0.00471111i
\(519\) 1.08778e8 + 3.19402e7i 0.778109 + 0.228473i
\(520\) 8.50772e6 + 3.88534e6i 0.0605066 + 0.0276325i
\(521\) −6.97214e7 + 1.08489e8i −0.493007 + 0.767133i −0.995225 0.0976076i \(-0.968881\pi\)
0.502218 + 0.864741i \(0.332517\pi\)
\(522\) −1.61758e7 + 4.74965e6i −0.113725 + 0.0333926i
\(523\) −1.85424e8 2.66599e7i −1.29616 0.186360i −0.540513 0.841336i \(-0.681770\pi\)
−0.755650 + 0.654975i \(0.772679\pi\)
\(524\) −3.05675e7 6.69334e7i −0.212454 0.465210i
\(525\) −7.10688e7 + 1.02182e7i −0.491135 + 0.0706146i
\(526\) −1.11863e8 1.74062e8i −0.768648 1.19604i
\(527\) −9.32184e7 8.07742e7i −0.636898 0.551875i
\(528\) 3.42172e7i 0.232457i
\(529\) 8.18195e7 + 1.23370e8i 0.552701 + 0.833380i
\(530\) 7.03181e6 0.0472323
\(531\) 1.75457e7 2.02488e7i 0.117189 0.135243i
\(532\) −3.48931e7 + 2.24244e7i −0.231742 + 0.148931i
\(533\) 888404. + 6.17899e6i 0.00586717 + 0.0408071i
\(534\) −1.09776e8 + 5.01331e7i −0.720916 + 0.329231i
\(535\) −74031.1 + 514898.i −0.000483451 + 0.00336248i
\(536\) 3.61578e7 + 1.23142e8i 0.234805 + 0.799673i
\(537\) 5.20633e7 + 3.34590e7i 0.336208 + 0.216068i
\(538\) −2.34523e7 + 5.13535e7i −0.150605 + 0.329779i
\(539\) −1.04942e7 + 3.57398e7i −0.0670165 + 0.228237i
\(540\) 506213. 438636.i 0.00321478 0.00278563i
\(541\) −5.01338e6 5.78574e6i −0.0316620 0.0365399i 0.739698 0.672939i \(-0.234968\pi\)
−0.771360 + 0.636399i \(0.780423\pi\)
\(542\) −3.29787e7 9.68343e6i −0.207127 0.0608179i
\(543\) 1.22259e8 + 5.58340e7i 0.763629 + 0.348738i
\(544\) 5.93704e7 9.23821e7i 0.368785 0.573840i
\(545\) −769131. + 225837.i −0.00475128 + 0.00139510i
\(546\) −6.92934e7 9.96288e6i −0.425710 0.0612078i
\(547\) 6.04619e7 + 1.32393e8i 0.369419 + 0.808916i 0.999476 + 0.0323665i \(0.0103044\pi\)
−0.630057 + 0.776549i \(0.716968\pi\)
\(548\) −199117. + 28628.7i −0.00120995 + 0.000173964i
\(549\) 2.87922e7 + 4.48015e7i 0.174003 + 0.270754i
\(550\) −8.96872e7 7.77144e7i −0.539066 0.467104i
\(551\) 6.10628e7i 0.365024i
\(552\) 9.27554e7 + 4.97845e7i 0.551470 + 0.295990i
\(553\) −1.29578e8 −0.766222
\(554\) 1.00480e8 1.15960e8i 0.590948 0.681990i
\(555\) −42634.1 + 27399.3i −0.000249389 + 0.000160273i
\(556\) 1.28204e7 + 8.91678e7i 0.0745894 + 0.518781i
\(557\) −2.60969e8 + 1.19181e8i −1.51016 + 0.689669i −0.986726 0.162395i \(-0.948078\pi\)
−0.523438 + 0.852064i \(0.675351\pi\)
\(558\) 5.88579e6 4.09366e7i 0.0338768 0.235618i
\(559\) 2.12793e7 + 7.24708e7i 0.121821 + 0.414885i
\(560\) 3.03885e6 + 1.95295e6i 0.0173039 + 0.0111206i
\(561\) −3.57522e7 + 7.82863e7i −0.202495 + 0.443402i
\(562\) −6.75095e6 + 2.29916e7i −0.0380326 + 0.129527i
\(563\) 2.35464e8 2.04031e8i 1.31947 1.14333i 0.340294 0.940319i \(-0.389473\pi\)
0.979177 0.203009i \(-0.0650720\pi\)
\(564\) 1.99744e7 + 2.30517e7i 0.111336 + 0.128489i
\(565\) 8.49227e6 + 2.49356e6i 0.0470846 + 0.0138253i
\(566\) 2.60906e7 + 1.19152e7i 0.143891 + 0.0657129i
\(567\) −9.43909e6 + 1.46875e7i −0.0517822 + 0.0805747i
\(568\) 3.01574e8 8.85501e7i 1.64569 0.483219i
\(569\) −2.37406e8 3.41339e7i −1.28871 0.185289i −0.536325 0.844011i \(-0.680188\pi\)
−0.752386 + 0.658723i \(0.771097\pi\)
\(570\) 1.49401e6 + 3.27144e6i 0.00806734 + 0.0176650i
\(571\) 2.68787e7 3.86457e6i 0.144378 0.0207584i −0.0697470 0.997565i \(-0.522219\pi\)
0.214125 + 0.976806i \(0.431310\pi\)
\(572\) 4.21996e7 + 6.56639e7i 0.225486 + 0.350864i
\(573\) −4.98171e7 4.31668e7i −0.264798 0.229449i
\(574\) 4.64429e6i 0.0245575i
\(575\) 1.77105e8 6.75135e7i 0.931596 0.355130i
\(576\) 6.45235e7 0.337637
\(577\) −1.24104e8 + 1.43223e8i −0.646037 + 0.745567i −0.980430 0.196867i \(-0.936923\pi\)
0.334393 + 0.942434i \(0.391469\pi\)
\(578\) −2.11360e7 + 1.35833e7i −0.109456 + 0.0703430i
\(579\) −2.55459e7 1.77676e8i −0.131609 0.915362i
\(580\) −1.80506e6 + 824345.i −0.00925142 + 0.00422498i
\(581\) −3.36521e6 + 2.34055e7i −0.0171587 + 0.119341i
\(582\) −3.71584e7 1.26550e8i −0.188490 0.641938i
\(583\) 1.71919e8 + 1.10486e8i 0.867599 + 0.557572i
\(584\) −1.38912e8 + 3.04175e8i −0.697431 + 1.52716i
\(585\) 1.15363e6 3.92891e6i 0.00576235 0.0196248i
\(586\) −1.52269e8 + 1.31942e8i −0.756691 + 0.655676i
\(587\) −1.57654e8 1.81942e8i −0.779453 0.899536i 0.217617 0.976034i \(-0.430172\pi\)
−0.997070 + 0.0764979i \(0.975626\pi\)
\(588\) −1.16562e7 3.42258e6i −0.0573359 0.0168353i
\(589\) −1.36261e8 6.22285e7i −0.666848 0.304539i
\(590\) −2.52754e6 + 3.93293e6i −0.0123067 + 0.0191496i
\(591\) 6.88211e7 2.02077e7i 0.333395 0.0978936i
\(592\) −835762. 120164.i −0.00402826 0.000579176i
\(593\) 2.42181e7 + 5.30303e7i 0.116139 + 0.254308i 0.958770 0.284182i \(-0.0917221\pi\)
−0.842632 + 0.538490i \(0.818995\pi\)
\(594\) −2.85633e7 + 4.10678e6i −0.136285 + 0.0195949i
\(595\) −4.91209e6 7.64337e6i −0.0233193 0.0362856i
\(596\) −5.80739e6 5.03213e6i −0.0274310 0.0237691i
\(597\) 6.24693e7i 0.293592i
\(598\) 1.84231e8 1.45107e7i 0.861509 0.0678555i
\(599\) −2.96400e8 −1.37910 −0.689552 0.724236i \(-0.742193\pi\)
−0.689552 + 0.724236i \(0.742193\pi\)
\(600\) 8.82646e7 1.01863e8i 0.408632 0.471587i
\(601\) −1.47834e8 + 9.50072e7i −0.681007 + 0.437656i −0.834878 0.550434i \(-0.814462\pi\)
0.153872 + 0.988091i \(0.450826\pi\)
\(602\) 7.99706e6 + 5.56208e7i 0.0366557 + 0.254946i
\(603\) 5.11109e7 2.33416e7i 0.233110 0.106458i
\(604\) −7.99077e6 + 5.55770e7i −0.0362642 + 0.252223i
\(605\) −489020. 1.66545e6i −0.00220831 0.00752082i
\(606\) 8.07524e7 + 5.18964e7i 0.362859 + 0.233195i
\(607\) −1.12827e8 + 2.47057e8i −0.504484 + 1.10467i 0.470502 + 0.882399i \(0.344073\pi\)
−0.974986 + 0.222267i \(0.928654\pi\)
\(608\) 3.75735e7 1.27964e8i 0.167175 0.569345i
\(609\) 3.90905e7 3.38721e7i 0.173069 0.149965i
\(610\) −6.08531e6 7.02282e6i −0.0268098 0.0309401i
\(611\) 1.78913e8 + 5.25335e7i 0.784363 + 0.230310i
\(612\) −2.55324e7 1.16603e7i −0.111388 0.0508691i
\(613\) 1.65578e8 2.57644e8i 0.718820 1.11851i −0.269036 0.963130i \(-0.586705\pi\)
0.987856 0.155375i \(-0.0496587\pi\)
\(614\) 1.62424e8 4.76921e7i 0.701691 0.206035i
\(615\) −268888. 38660.3i −0.00115597 0.000166203i
\(616\) 8.40078e7 + 1.83951e8i 0.359399 + 0.786975i
\(617\) 3.89457e8 5.59955e7i 1.65808 0.238395i 0.751285 0.659977i \(-0.229434\pi\)
0.906790 + 0.421582i \(0.138525\pi\)
\(618\) −1.03961e8 1.61767e8i −0.440460 0.685369i
\(619\) −1.49309e8 1.29377e8i −0.629526 0.545488i 0.280597 0.959826i \(-0.409468\pi\)
−0.910123 + 0.414338i \(0.864013\pi\)
\(620\) 4.86808e6i 0.0204260i
\(621\) 1.57949e7 4.32975e7i 0.0659542 0.180796i
\(622\) −2.38439e8 −0.990846
\(623\) 2.42471e8 2.79827e8i 1.00276 1.15724i
\(624\) 5.73922e7 3.68837e7i 0.236210 0.151803i
\(625\) −3.44313e7 2.39475e8i −0.141031 0.980891i
\(626\) −1.28821e8 + 5.88307e7i −0.525127 + 0.239817i
\(627\) −1.48749e7 + 1.03457e8i −0.0603464 + 0.419718i
\(628\) −128268. 436840.i −0.000517892 0.00176378i
\(629\) 1.78660e6 + 1.14818e6i 0.00717920 + 0.00461379i
\(630\) 1.26553e6 2.77112e6i 0.00506115 0.0110824i
\(631\) −2.80514e6 + 9.55341e6i −0.0111652 + 0.0380251i −0.964887 0.262665i \(-0.915399\pi\)
0.953722 + 0.300690i \(0.0972169\pi\)
\(632\) 1.83833e8 1.59292e8i 0.728235 0.631020i
\(633\) −5.02668e7 5.80110e7i −0.198185 0.228718i
\(634\) 2.30170e8 + 6.75840e7i 0.903193 + 0.265202i
\(635\) −1.07278e7 4.89923e6i −0.0418977 0.0191340i
\(636\) −3.60340e7 + 5.60701e7i −0.140069 + 0.217951i
\(637\) −7.12580e7 + 2.09232e7i −0.275686 + 0.0809488i
\(638\) 8.46213e7 + 1.21667e7i 0.325850 + 0.0468502i
\(639\) −5.71632e7 1.25170e8i −0.219086 0.479731i
\(640\) −494675. + 71123.6i −0.00188704 + 0.000271315i
\(641\) 5.46945e7 + 8.51064e7i 0.207668 + 0.323138i 0.929427 0.369007i \(-0.120302\pi\)
−0.721758 + 0.692145i \(0.756666\pi\)
\(642\) 5.52388e6 + 4.78647e6i 0.0208756 + 0.0180888i
\(643\) 2.39143e8i 0.899549i 0.893142 + 0.449774i \(0.148496\pi\)
−0.893142 + 0.449774i \(0.851504\pi\)
\(644\) −9.25560e7 5.95013e6i −0.346535 0.0222776i
\(645\) −3.28682e6 −0.0122489
\(646\) 9.86945e7 1.13899e8i 0.366096 0.422498i
\(647\) 1.24365e8 7.99245e7i 0.459182 0.295099i −0.290526 0.956867i \(-0.593830\pi\)
0.749708 + 0.661769i \(0.230194\pi\)
\(648\) −4.66430e6 3.24409e7i −0.0171420 0.119225i
\(649\) −1.23591e8 + 5.64420e7i −0.452118 + 0.206475i
\(650\) 3.36732e7 2.34202e8i 0.122615 0.852806i
\(651\) 3.57487e7 + 1.21749e8i 0.129574 + 0.441288i
\(652\) 1.50935e8 + 9.69999e7i 0.544561 + 0.349968i
\(653\) 3.27317e7 7.16724e7i 0.117552 0.257402i −0.841705 0.539937i \(-0.818448\pi\)
0.959257 + 0.282535i \(0.0911753\pi\)
\(654\) −3.17320e6 + 1.08069e7i −0.0113440 + 0.0386340i
\(655\) 1.47940e7 1.28190e7i 0.0526454 0.0456175i
\(656\) −2.96387e6 3.42049e6i −0.0104990 0.0121165i
\(657\) 1.40470e8 + 4.12456e7i 0.495320 + 0.145439i
\(658\) 1.26190e8 + 5.76289e7i 0.442941 + 0.202285i
\(659\) 9.42424e7 1.46644e8i 0.329299 0.512399i −0.636643 0.771159i \(-0.719677\pi\)
0.965942 + 0.258760i \(0.0833138\pi\)
\(660\) −3.25909e6 + 956954.i −0.0113361 + 0.00332858i
\(661\) −5.19643e8 7.47134e7i −1.79929 0.258699i −0.840295 0.542129i \(-0.817618\pi\)
−0.958993 + 0.283431i \(0.908527\pi\)
\(662\) 1.06441e8 + 2.33073e8i 0.366888 + 0.803373i
\(663\) −1.69847e8 + 2.44203e7i −0.582797 + 0.0837936i
\(664\) −2.39986e7 3.73425e7i −0.0819749 0.127556i
\(665\) −8.33910e6 7.22587e6i −0.0283566 0.0245711i
\(666\) 712086.i 0.00241051i
\(667\) −8.10370e7 + 1.09894e8i −0.273090 + 0.370335i
\(668\) −1.17671e7 −0.0394766
\(669\) 1.21267e8 1.39950e8i 0.405009 0.467405i
\(670\) −8.24789e6 + 5.30059e6i −0.0274232 + 0.0176238i
\(671\) −3.84339e7 2.67314e8i −0.127218 0.884818i
\(672\) −1.02761e8 + 4.69292e7i −0.338625 + 0.154645i
\(673\) 5.42107e7 3.77044e8i 0.177844 1.23693i −0.683894 0.729581i \(-0.739715\pi\)
0.861738 0.507353i \(-0.169376\pi\)
\(674\) 1.07263e8 + 3.65304e8i 0.350324 + 1.19309i
\(675\) −4.96417e7 3.19028e7i −0.161412 0.103733i
\(676\) −1.29539e7 + 2.83651e7i −0.0419335 + 0.0918216i
\(677\) 1.42453e8 4.85152e8i 0.459100 1.56355i −0.326736 0.945116i \(-0.605949\pi\)
0.785836 0.618435i \(-0.212233\pi\)
\(678\) 9.39859e7 8.14392e7i 0.301560 0.261303i
\(679\) 2.64995e8 + 3.05821e8i 0.846503 + 0.976917i
\(680\) 1.63649e7 + 4.80518e6i 0.0520461 + 0.0152821i
\(681\) 1.86969e8 + 8.53860e7i 0.592010 + 0.270362i
\(682\) −1.13387e8 + 1.76433e8i −0.357445 + 0.556196i
\(683\) 5.19968e8 1.52676e8i 1.63198 0.479192i 0.667777 0.744361i \(-0.267246\pi\)
0.964202 + 0.265169i \(0.0854278\pi\)
\(684\) −3.37417e7 4.85132e6i −0.105438 0.0151597i
\(685\) −22231.2 48679.5i −6.91656e−5 0.000151452i
\(686\) −2.67548e8 + 3.84676e7i −0.828762 + 0.119158i
\(687\) 1.11437e8 + 1.73399e8i 0.343682 + 0.534780i
\(688\) −4.13856e7 3.58608e7i −0.127082 0.110117i
\(689\) 4.07454e8i 1.24572i
\(690\) −1.65280e6 + 7.87026e6i −0.00503123 + 0.0239575i
\(691\) −6.12008e8 −1.85491 −0.927456 0.373932i \(-0.878009\pi\)
−0.927456 + 0.373932i \(0.878009\pi\)
\(692\) 1.22788e8 1.41705e8i 0.370541 0.427627i
\(693\) 7.44812e7 4.78662e7i 0.223793 0.143823i
\(694\) −1.65416e7 1.15049e8i −0.0494879 0.344196i
\(695\) −2.17995e7 + 9.95549e6i −0.0649369 + 0.0296557i
\(696\) −1.38184e7 + 9.61092e7i −0.0409855 + 0.285061i
\(697\) 3.20718e6 + 1.09226e7i 0.00947163 + 0.0322574i
\(698\) 2.91767e8 + 1.87507e8i 0.857965 + 0.551380i
\(699\) 1.10514e8 2.41993e8i 0.323584 0.708550i
\(700\) −3.34553e7 + 1.13938e8i −0.0975372 + 0.332181i
\(701\) 1.93118e8 1.67337e8i 0.560619 0.485779i −0.327841 0.944733i \(-0.606321\pi\)
0.888460 + 0.458953i \(0.151776\pi\)
\(702\) −3.76774e7 4.34821e7i −0.108911 0.125690i
\(703\) 2.47472e6 + 726644.i 0.00712296 + 0.00209149i
\(704\) −2.97634e8 1.35925e8i −0.853030 0.389566i
\(705\) −4.38695e6 + 6.82622e6i −0.0125197 + 0.0194811i
\(706\) −4.85270e7 + 1.42488e7i −0.137902 + 0.0404916i
\(707\) −2.91510e8 4.19129e7i −0.824889 0.118601i
\(708\) −1.84081e7 4.03081e7i −0.0518691 0.113578i
\(709\) −9.93964e7 + 1.42910e7i −0.278889 + 0.0400982i −0.280340 0.959901i \(-0.590447\pi\)
0.00145081 + 0.999999i \(0.499538\pi\)
\(710\) 1.29811e7 + 2.01990e7i 0.0362691 + 0.0564358i
\(711\) −8.04833e7 6.97392e7i −0.223922 0.194030i
\(712\) 6.95067e8i 1.92569i
\(713\) −1.62643e8 2.92825e8i −0.448711 0.807867i
\(714\) −1.27662e8 −0.350724
\(715\) −1.35981e7 + 1.56930e7i −0.0372014 + 0.0429327i
\(716\) 8.61066e7 5.53374e7i 0.234584 0.150758i
\(717\) 1.53089e7 + 1.06476e8i 0.0415323 + 0.288864i
\(718\) 5.46311e7 2.49492e7i 0.147593 0.0674036i
\(719\) −7.38946e7 + 5.13948e8i −0.198804 + 1.38271i 0.608956 + 0.793204i \(0.291589\pi\)
−0.807760 + 0.589511i \(0.799321\pi\)
\(720\) 836406. + 2.84854e6i 0.00224089 + 0.00763176i
\(721\) 4.96316e8 + 3.18963e8i 1.32420 + 0.851010i
\(722\) −4.47862e7 + 9.80681e7i −0.118996 + 0.260565i
\(723\) 4.98476e7 1.69765e8i 0.131895 0.449194i
\(724\) 1.67996e8 1.45570e8i 0.442674 0.383579i
\(725\) 1.14483e8 + 1.32120e8i 0.300418 + 0.346701i
\(726\) −2.34010e7 6.87115e6i −0.0611539 0.0179564i
\(727\) −5.15538e8 2.35438e8i −1.34171 0.612737i −0.390304 0.920686i \(-0.627630\pi\)
−0.951403 + 0.307949i \(0.900357\pi\)
\(728\) −2.17985e8 + 3.39192e8i −0.564980 + 0.879126i
\(729\) −1.37677e7 + 4.04255e6i −0.0355368 + 0.0104345i
\(730\) −2.52851e7 3.63545e6i −0.0649975 0.00934523i
\(731\) 5.72175e7 + 1.25289e8i 0.146479 + 0.320745i
\(732\) 8.71822e7 1.25349e7i 0.222277 0.0319586i
\(733\) −1.82693e8 2.84276e8i −0.463885 0.721820i 0.527960 0.849269i \(-0.322957\pi\)
−0.991845 + 0.127450i \(0.959321\pi\)
\(734\) 5.25060e7 + 4.54967e7i 0.132776 + 0.115051i
\(735\) 3.23181e6i 0.00813925i
\(736\) 2.37442e8 1.80429e8i 0.595558 0.452558i
\(737\) −2.84936e8 −0.711778
\(738\) −2.49957e6 + 2.88466e6i −0.00621866 + 0.00717672i
\(739\) 2.54054e8 1.63271e8i 0.629496 0.404553i −0.186627 0.982431i \(-0.559756\pi\)
0.816123 + 0.577878i \(0.196119\pi\)
\(740\) 11928.5 + 82964.4i 2.94368e−5 + 0.000204737i
\(741\) −1.89562e8 + 8.65699e7i −0.465903 + 0.212771i
\(742\) −4.31408e7 + 3.00051e8i −0.105603 + 0.734485i
\(743\) 4.47186e7 + 1.52298e8i 0.109024 + 0.371301i 0.995873 0.0907578i \(-0.0289289\pi\)
−0.886849 + 0.462059i \(0.847111\pi\)
\(744\) −2.00385e8 1.28780e8i −0.486572 0.312701i
\(745\) 849209. 1.85951e6i 0.00205374 0.00449707i
\(746\) −2.11598e7 + 7.20636e7i −0.0509677 + 0.173580i
\(747\) −1.46871e7 + 1.27265e7i −0.0352351 + 0.0305314i
\(748\) 9.32125e7 + 1.07573e8i 0.222725 + 0.257039i
\(749\) −2.15168e7 6.31789e6i −0.0512073 0.0150358i
\(750\) 1.87603e7 + 8.56752e6i 0.0444688 + 0.0203082i
\(751\) 1.65016e8 2.56771e8i 0.389590 0.606213i −0.589956 0.807435i \(-0.700855\pi\)
0.979546 + 0.201222i \(0.0644913\pi\)
\(752\) −1.29715e8 + 3.80878e7i −0.305027 + 0.0895639i
\(753\) −6.25387e7 8.99170e6i −0.146475 0.0210599i
\(754\) 7.08087e7 + 1.55049e8i 0.165186 + 0.361706i
\(755\) −1.47851e7 + 2.12578e6i −0.0343545 + 0.00493943i
\(756\) 1.56112e7 + 2.42914e7i 0.0361301 + 0.0562196i
\(757\) −4.24775e8 3.68069e8i −0.979199 0.848481i 0.00926190 0.999957i \(-0.497052\pi\)
−0.988461 + 0.151476i \(0.951597\pi\)
\(758\) 5.27169e8i 1.21044i
\(759\) −1.64069e8 + 1.66449e8i −0.375233 + 0.380677i
\(760\) 2.07136e7 0.0471863
\(761\) −1.15262e8 + 1.33019e8i −0.261535 + 0.301828i −0.871296 0.490758i \(-0.836720\pi\)
0.609761 + 0.792586i \(0.291266\pi\)
\(762\) −1.39404e8 + 8.95894e7i −0.315072 + 0.202485i
\(763\) −4.91790e6 3.42047e7i −0.0110715 0.0770039i
\(764\) −9.91680e7 + 4.52885e7i −0.222378 + 0.101557i