Properties

Label 43.6.g.a.9.17
Level 43
Weight 6
Character 43.9
Analytic conductor 6.897
Analytic rank 0
Dimension 204
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 43.g (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.89650425196\)
Analytic rank: \(0\)
Dimension: \(204\)
Relative dimension: \(17\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 9.17
Character \(\chi\) \(=\) 43.9
Dual form 43.6.g.a.24.17

$q$-expansion

\(f(q)\) \(=\) \(q+(6.32555 + 7.93199i) q^{2} +(2.21950 + 0.334535i) q^{3} +(-15.7832 + 69.1506i) q^{4} +(53.6893 + 36.6047i) q^{5} +(11.3860 + 19.7211i) q^{6} +(51.6195 - 89.4076i) q^{7} +(-355.837 + 171.362i) q^{8} +(-227.390 - 70.1405i) q^{9} +O(q^{10})\) \(q+(6.32555 + 7.93199i) q^{2} +(2.21950 + 0.334535i) q^{3} +(-15.7832 + 69.1506i) q^{4} +(53.6893 + 36.6047i) q^{5} +(11.3860 + 19.7211i) q^{6} +(51.6195 - 89.4076i) q^{7} +(-355.837 + 171.362i) q^{8} +(-227.390 - 70.1405i) q^{9} +(49.2659 + 657.407i) q^{10} +(20.3695 + 89.2448i) q^{11} +(-58.1640 + 148.200i) q^{12} +(17.7788 - 237.241i) q^{13} +(1035.70 - 156.107i) q^{14} +(106.918 + 99.2050i) q^{15} +(-1565.15 - 753.738i) q^{16} +(-325.466 + 221.899i) q^{17} +(-882.012 - 2247.33i) q^{18} +(1621.60 - 500.198i) q^{19} +(-3378.63 + 3134.91i) q^{20} +(144.479 - 181.171i) q^{21} +(-579.040 + 726.093i) q^{22} +(1673.07 - 1552.38i) q^{23} +(-847.106 + 261.298i) q^{24} +(400.941 + 1021.58i) q^{25} +(1994.26 - 1359.66i) q^{26} +(-972.642 - 468.400i) q^{27} +(5367.87 + 4980.65i) q^{28} +(8257.74 - 1244.65i) q^{29} +(-110.581 + 1475.59i) q^{30} +(-3376.13 + 8602.24i) q^{31} +(-1109.51 - 4861.07i) q^{32} +(15.3546 + 204.893i) q^{33} +(-3818.85 - 1177.96i) q^{34} +(6044.15 - 2910.71i) q^{35} +(8439.19 - 14617.1i) q^{36} +(-7700.94 - 13338.4i) q^{37} +(14225.1 + 9698.49i) q^{38} +(118.826 - 520.609i) q^{39} +(-25377.3 - 3825.01i) q^{40} +(-3536.56 - 4434.70i) q^{41} +2350.96 q^{42} +(-8795.47 + 8345.55i) q^{43} -6492.83 q^{44} +(-9640.93 - 12089.3i) q^{45} +(22896.5 + 3451.09i) q^{46} +(2559.75 - 11215.0i) q^{47} +(-3221.70 - 2196.52i) q^{48} +(3074.36 + 5324.94i) q^{49} +(-5567.00 + 9642.32i) q^{50} +(-796.603 + 383.624i) q^{51} +(16124.8 + 4973.84i) q^{52} +(767.090 + 10236.1i) q^{53} +(-2437.15 - 10677.9i) q^{54} +(-2173.16 + 5537.11i) q^{55} +(-3047.06 + 40660.2i) q^{56} +(3766.47 - 567.704i) q^{57} +(62107.3 + 57627.2i) q^{58} +(-24967.8 - 12023.8i) q^{59} +(-8547.59 + 5827.65i) q^{60} +(-7680.19 - 19568.8i) q^{61} +(-89588.7 + 27634.5i) q^{62} +(-18008.8 + 16709.8i) q^{63} +(-3120.12 + 3912.51i) q^{64} +(9638.68 - 12086.5i) q^{65} +(-1528.08 + 1417.85i) q^{66} +(-50242.1 + 15497.6i) q^{67} +(-10207.6 - 26008.4i) q^{68} +(4232.69 - 2885.80i) q^{69} +(61320.3 + 29530.3i) q^{70} +(-33932.4 - 31484.6i) q^{71} +(92933.2 - 14007.4i) q^{72} +(438.520 - 5851.64i) q^{73} +(57087.5 - 145457. i) q^{74} +(548.132 + 2401.52i) q^{75} +(8994.96 + 120029. i) q^{76} +(9030.63 + 2785.58i) q^{77} +(4881.10 - 2350.61i) q^{78} +(33115.0 - 57356.9i) q^{79} +(-56441.6 - 97759.7i) q^{80} +(45775.0 + 31208.8i) q^{81} +(12805.3 - 56103.8i) q^{82} +(15506.1 + 2337.18i) q^{83} +(10247.8 + 12850.3i) q^{84} -25596.6 q^{85} +(-121833. - 16975.3i) q^{86} +18744.4 q^{87} +(-22541.4 - 28266.1i) q^{88} +(-103789. - 15643.6i) q^{89} +(34908.3 - 152943. i) q^{90} +(-20293.4 - 13835.8i) q^{91} +(80941.6 + 140195. i) q^{92} +(-10371.1 + 17963.2i) q^{93} +(105149. - 50637.0i) q^{94} +(105372. + 32503.0i) q^{95} +(-836.349 - 11160.3i) q^{96} +(32132.4 + 140781. i) q^{97} +(-22790.4 + 58069.0i) q^{98} +(1627.85 - 21722.1i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 204q - 468q^{4} - 85q^{5} - 22q^{6} + 454q^{7} + 698q^{8} - 333q^{9} + O(q^{10}) \) \( 204q - 468q^{4} - 85q^{5} - 22q^{6} + 454q^{7} + 698q^{8} - 333q^{9} + 303q^{10} - 1340q^{11} + 858q^{12} + 814q^{13} + 1202q^{14} - 2083q^{15} - 6248q^{16} - 214q^{17} - 174q^{18} - 246q^{19} - 17139q^{20} + 3007q^{21} + 2118q^{22} + 3192q^{23} + 15880q^{24} + 3652q^{25} - 1237q^{26} + 108q^{27} - 6780q^{28} - 18827q^{29} + 98080q^{30} - 43196q^{31} - 3930q^{32} + 28181q^{33} + 45155q^{34} + 33275q^{35} - 49399q^{36} + 34607q^{37} - 43374q^{38} + 15155q^{39} - 108727q^{40} + 7156q^{41} - 48066q^{42} - 176452q^{43} + 26068q^{44} - 96386q^{45} - 27185q^{46} + 20402q^{47} + 198899q^{48} - 158742q^{49} + 186243q^{50} + 98589q^{51} + 278918q^{52} + 14102q^{53} + 270894q^{54} - 334770q^{55} + 61999q^{56} - 202490q^{57} + 213658q^{58} - 43753q^{59} - 389005q^{60} + 80516q^{61} + 162349q^{62} - 75177q^{63} - 489850q^{64} + 93726q^{65} + 246095q^{66} - 322922q^{67} + 475089q^{68} - 397079q^{69} - 614985q^{70} - 233345q^{71} + 379655q^{72} + 159391q^{73} + 695938q^{74} + 344081q^{75} - 50808q^{76} + 608177q^{77} + 605548q^{78} - 272109q^{79} + 601054q^{80} + 193536q^{81} - 996896q^{82} + 177813q^{83} - 919009q^{84} - 844524q^{85} - 876752q^{86} - 188214q^{87} - 59998q^{88} - 469041q^{89} - 453431q^{90} - 223189q^{91} - 94922q^{92} + 569174q^{93} + 1175168q^{94} + 435689q^{95} + 1557688q^{96} + 643751q^{97} + 886196q^{98} + 1422581q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 6.32555 + 7.93199i 1.11821 + 1.40219i 0.905119 + 0.425158i \(0.139781\pi\)
0.213090 + 0.977033i \(0.431647\pi\)
\(3\) 2.21950 + 0.334535i 0.142381 + 0.0214604i 0.219846 0.975535i \(-0.429445\pi\)
−0.0774651 + 0.996995i \(0.524683\pi\)
\(4\) −15.7832 + 69.1506i −0.493224 + 2.16096i
\(5\) 53.6893 + 36.6047i 0.960423 + 0.654805i 0.938618 0.344957i \(-0.112107\pi\)
0.0218044 + 0.999762i \(0.493059\pi\)
\(6\) 11.3860 + 19.7211i 0.129120 + 0.223642i
\(7\) 51.6195 89.4076i 0.398170 0.689651i −0.595330 0.803481i \(-0.702979\pi\)
0.993500 + 0.113830i \(0.0363121\pi\)
\(8\) −355.837 + 171.362i −1.96574 + 0.946651i
\(9\) −227.390 70.1405i −0.935761 0.288644i
\(10\) 49.2659 + 657.407i 0.155792 + 2.07890i
\(11\) 20.3695 + 89.2448i 0.0507574 + 0.222383i 0.993945 0.109878i \(-0.0350459\pi\)
−0.943188 + 0.332260i \(0.892189\pi\)
\(12\) −58.1640 + 148.200i −0.116601 + 0.297094i
\(13\) 17.7788 237.241i 0.0291772 0.389343i −0.963429 0.267964i \(-0.913649\pi\)
0.992606 0.121379i \(-0.0387317\pi\)
\(14\) 1035.70 156.107i 1.41226 0.212864i
\(15\) 106.918 + 99.2050i 0.122693 + 0.113843i
\(16\) −1565.15 753.738i −1.52847 0.736072i
\(17\) −325.466 + 221.899i −0.273139 + 0.186223i −0.692141 0.721762i \(-0.743332\pi\)
0.419002 + 0.907985i \(0.362380\pi\)
\(18\) −882.012 2247.33i −0.641643 1.63488i
\(19\) 1621.60 500.198i 1.03053 0.317876i 0.267032 0.963688i \(-0.413957\pi\)
0.763497 + 0.645812i \(0.223481\pi\)
\(20\) −3378.63 + 3134.91i −1.88871 + 1.75247i
\(21\) 144.479 181.171i 0.0714920 0.0896481i
\(22\) −579.040 + 726.093i −0.255066 + 0.319842i
\(23\) 1673.07 1552.38i 0.659467 0.611896i −0.277745 0.960655i \(-0.589587\pi\)
0.937213 + 0.348758i \(0.113397\pi\)
\(24\) −847.106 + 261.298i −0.300199 + 0.0925992i
\(25\) 400.941 + 1021.58i 0.128301 + 0.326906i
\(26\) 1994.26 1359.66i 0.578559 0.394455i
\(27\) −972.642 468.400i −0.256770 0.123654i
\(28\) 5367.87 + 4980.65i 1.29392 + 1.20058i
\(29\) 8257.74 1244.65i 1.82333 0.274823i 0.853947 0.520360i \(-0.174202\pi\)
0.969387 + 0.245536i \(0.0789640\pi\)
\(30\) −110.581 + 1475.59i −0.0224324 + 0.299339i
\(31\) −3376.13 + 8602.24i −0.630979 + 1.60771i 0.153918 + 0.988084i \(0.450811\pi\)
−0.784898 + 0.619625i \(0.787285\pi\)
\(32\) −1109.51 4861.07i −0.191538 0.839184i
\(33\) 15.3546 + 204.893i 0.00245445 + 0.0327523i
\(34\) −3818.85 1177.96i −0.566546 0.174756i
\(35\) 6044.15 2910.71i 0.833998 0.401632i
\(36\) 8439.19 14617.1i 1.08529 1.87977i
\(37\) −7700.94 13338.4i −0.924782 1.60177i −0.791912 0.610636i \(-0.790914\pi\)
−0.132870 0.991133i \(-0.542419\pi\)
\(38\) 14225.1 + 9698.49i 1.59807 + 1.08955i
\(39\) 118.826 520.609i 0.0125097 0.0548088i
\(40\) −25377.3 3825.01i −2.50781 0.377992i
\(41\) −3536.56 4434.70i −0.328565 0.412007i 0.589921 0.807461i \(-0.299159\pi\)
−0.918486 + 0.395454i \(0.870587\pi\)
\(42\) 2350.96 0.205647
\(43\) −8795.47 + 8345.55i −0.725417 + 0.688310i
\(44\) −6492.83 −0.505595
\(45\) −9640.93 12089.3i −0.709721 0.889962i
\(46\) 22896.5 + 3451.09i 1.59542 + 0.240471i
\(47\) 2559.75 11215.0i 0.169026 0.740549i −0.817364 0.576122i \(-0.804565\pi\)
0.986389 0.164427i \(-0.0525775\pi\)
\(48\) −3221.70 2196.52i −0.201828 0.137604i
\(49\) 3074.36 + 5324.94i 0.182921 + 0.316829i
\(50\) −5567.00 + 9642.32i −0.314917 + 0.545452i
\(51\) −796.603 + 383.624i −0.0428861 + 0.0206529i
\(52\) 16124.8 + 4973.84i 0.826962 + 0.255084i
\(53\) 767.090 + 10236.1i 0.0375108 + 0.500547i 0.984042 + 0.177936i \(0.0569418\pi\)
−0.946531 + 0.322612i \(0.895439\pi\)
\(54\) −2437.15 10677.9i −0.113736 0.498310i
\(55\) −2173.16 + 5537.11i −0.0968689 + 0.246818i
\(56\) −3047.06 + 40660.2i −0.129841 + 1.73260i
\(57\) 3766.47 567.704i 0.153549 0.0231438i
\(58\) 62107.3 + 57627.2i 2.42422 + 2.24935i
\(59\) −24967.8 12023.8i −0.933791 0.449690i −0.0958163 0.995399i \(-0.530546\pi\)
−0.837975 + 0.545709i \(0.816260\pi\)
\(60\) −8547.59 + 5827.65i −0.306525 + 0.208985i
\(61\) −7680.19 19568.8i −0.264270 0.673348i 0.735723 0.677283i \(-0.236843\pi\)
−0.999992 + 0.00393486i \(0.998747\pi\)
\(62\) −89588.7 + 27634.5i −2.95988 + 0.913002i
\(63\) −18008.8 + 16709.8i −0.571656 + 0.530419i
\(64\) −3120.12 + 3912.51i −0.0952186 + 0.119400i
\(65\) 9638.68 12086.5i 0.282966 0.354828i
\(66\) −1528.08 + 1417.85i −0.0431804 + 0.0400656i
\(67\) −50242.1 + 15497.6i −1.36735 + 0.421773i −0.889608 0.456726i \(-0.849022\pi\)
−0.477745 + 0.878498i \(0.658546\pi\)
\(68\) −10207.6 26008.4i −0.267701 0.682090i
\(69\) 4232.69 2885.80i 0.107027 0.0729698i
\(70\) 61320.3 + 29530.3i 1.49575 + 0.720315i
\(71\) −33932.4 31484.6i −0.798856 0.741230i 0.170905 0.985288i \(-0.445331\pi\)
−0.969761 + 0.244058i \(0.921521\pi\)
\(72\) 92933.2 14007.4i 2.11271 0.318440i
\(73\) 438.520 5851.64i 0.00963124 0.128520i −0.990316 0.138835i \(-0.955664\pi\)
0.999947 + 0.0103148i \(0.00328337\pi\)
\(74\) 57087.5 145457.i 1.21189 3.08783i
\(75\) 548.132 + 2401.52i 0.0112521 + 0.0492985i
\(76\) 8994.96 + 120029.i 0.178635 + 2.38371i
\(77\) 9030.63 + 2785.58i 0.173577 + 0.0535413i
\(78\) 4881.10 2350.61i 0.0908408 0.0437466i
\(79\) 33115.0 57356.9i 0.596976 1.03399i −0.396288 0.918126i \(-0.629702\pi\)
0.993265 0.115867i \(-0.0369647\pi\)
\(80\) −56441.6 97759.7i −0.985994 1.70779i
\(81\) 45775.0 + 31208.8i 0.775203 + 0.528525i
\(82\) 12805.3 56103.8i 0.210308 0.921420i
\(83\) 15506.1 + 2337.18i 0.247064 + 0.0372388i 0.271406 0.962465i \(-0.412511\pi\)
−0.0243429 + 0.999704i \(0.507749\pi\)
\(84\) 10247.8 + 12850.3i 0.158464 + 0.198708i
\(85\) −25596.6 −0.384268
\(86\) −121833. 16975.3i −1.77631 0.247498i
\(87\) 18744.4 0.265506
\(88\) −22541.4 28266.1i −0.310295 0.389098i
\(89\) −103789. 15643.6i −1.38891 0.209345i −0.588356 0.808602i \(-0.700225\pi\)
−0.800556 + 0.599257i \(0.795463\pi\)
\(90\) 34908.3 152943.i 0.454279 1.99033i
\(91\) −20293.4 13835.8i −0.256893 0.175147i
\(92\) 80941.6 + 140195.i 0.997016 + 1.72688i
\(93\) −10371.1 + 17963.2i −0.124341 + 0.215366i
\(94\) 105149. 50637.0i 1.22740 0.591083i
\(95\) 105372. + 32503.0i 1.19789 + 0.369500i
\(96\) −836.349 11160.3i −0.00926210 0.123594i
\(97\) 32132.4 + 140781.i 0.346748 + 1.51920i 0.784514 + 0.620112i \(0.212913\pi\)
−0.437766 + 0.899089i \(0.644230\pi\)
\(98\) −22790.4 + 58069.0i −0.239710 + 0.610772i
\(99\) 1627.85 21722.1i 0.0166927 0.222748i
\(100\) −76971.1 + 11601.5i −0.769711 + 0.116015i
\(101\) −37253.3 34566.0i −0.363380 0.337167i 0.477260 0.878762i \(-0.341630\pi\)
−0.840640 + 0.541595i \(0.817821\pi\)
\(102\) −8081.85 3892.01i −0.0769149 0.0370403i
\(103\) −26289.7 + 17924.0i −0.244170 + 0.166472i −0.679222 0.733933i \(-0.737682\pi\)
0.435052 + 0.900405i \(0.356730\pi\)
\(104\) 34327.8 + 87465.9i 0.311217 + 0.792968i
\(105\) 14388.7 4438.33i 0.127365 0.0392868i
\(106\) −76340.4 + 70833.6i −0.659918 + 0.612314i
\(107\) −23881.6 + 29946.6i −0.201653 + 0.252865i −0.872367 0.488851i \(-0.837416\pi\)
0.670714 + 0.741716i \(0.265988\pi\)
\(108\) 47741.5 59865.9i 0.393855 0.493879i
\(109\) 49554.3 45979.7i 0.399498 0.370680i −0.454685 0.890652i \(-0.650248\pi\)
0.854183 + 0.519972i \(0.174058\pi\)
\(110\) −57666.7 + 17787.8i −0.454405 + 0.140165i
\(111\) −12630.0 32180.8i −0.0972965 0.247907i
\(112\) −148182. + 101029.i −1.11622 + 0.761029i
\(113\) 229841. + 110686.i 1.69329 + 0.815446i 0.995027 + 0.0996062i \(0.0317583\pi\)
0.698264 + 0.715840i \(0.253956\pi\)
\(114\) 28328.0 + 26284.6i 0.204152 + 0.189426i
\(115\) 146650. 22103.9i 1.03404 0.155857i
\(116\) −44264.8 + 590673.i −0.305431 + 4.07570i
\(117\) −20682.9 + 52699.3i −0.139684 + 0.355910i
\(118\) −62561.9 274101.i −0.413623 1.81220i
\(119\) 3039.06 + 40553.4i 0.0196730 + 0.262519i
\(120\) −55045.2 16979.2i −0.348953 0.107638i
\(121\) 137552. 66241.7i 0.854091 0.411309i
\(122\) 106638. 184703.i 0.648653 1.12350i
\(123\) −6365.81 11025.9i −0.0379394 0.0657130i
\(124\) −541564. 369232.i −3.16298 2.15648i
\(125\) 29317.4 128448.i 0.167823 0.735279i
\(126\) −246457. 37147.5i −1.38298 0.208451i
\(127\) 32936.4 + 41301.0i 0.181204 + 0.227222i 0.864135 0.503261i \(-0.167866\pi\)
−0.682931 + 0.730483i \(0.739295\pi\)
\(128\) −210325. −1.13466
\(129\) −22313.4 + 15580.5i −0.118057 + 0.0824343i
\(130\) 156840. 0.813952
\(131\) 115853. + 145275.i 0.589832 + 0.739625i 0.983755 0.179518i \(-0.0574538\pi\)
−0.393923 + 0.919143i \(0.628882\pi\)
\(132\) −14410.8 2172.08i −0.0719869 0.0108503i
\(133\) 38984.8 170803.i 0.191102 0.837274i
\(134\) −440736. 300488.i −2.12039 1.44566i
\(135\) −35074.8 60751.3i −0.165638 0.286894i
\(136\) 77787.8 134732.i 0.360632 0.624633i
\(137\) −172309. + 82979.4i −0.784342 + 0.377719i −0.782795 0.622280i \(-0.786207\pi\)
−0.00154696 + 0.999999i \(0.500492\pi\)
\(138\) 49664.2 + 15319.4i 0.221996 + 0.0684768i
\(139\) 14730.4 + 196563.i 0.0646661 + 0.862909i 0.931367 + 0.364081i \(0.118617\pi\)
−0.866701 + 0.498828i \(0.833764\pi\)
\(140\) 105881. + 463897.i 0.456562 + 2.00033i
\(141\) 9433.15 24035.3i 0.0399585 0.101813i
\(142\) 35094.9 468309.i 0.146057 1.94900i
\(143\) 21534.7 3245.84i 0.0880641 0.0132735i
\(144\) 303033. + 281173.i 1.21782 + 1.12997i
\(145\) 488912. + 235448.i 1.93113 + 0.929982i
\(146\) 49189.0 33536.5i 0.190979 0.130207i
\(147\) 5042.15 + 12847.2i 0.0192452 + 0.0490359i
\(148\) 1.04390e6 322002.i 3.91748 1.20838i
\(149\) −105128. + 97544.6i −0.387930 + 0.359946i −0.849895 0.526952i \(-0.823335\pi\)
0.461965 + 0.886898i \(0.347144\pi\)
\(150\) −15581.6 + 19538.7i −0.0565437 + 0.0709036i
\(151\) −121549. + 152418.i −0.433821 + 0.543994i −0.949903 0.312545i \(-0.898819\pi\)
0.516082 + 0.856539i \(0.327390\pi\)
\(152\) −491311. + 455870.i −1.72483 + 1.60041i
\(153\) 89571.8 27629.2i 0.309345 0.0954202i
\(154\) 35028.5 + 89251.1i 0.119020 + 0.303258i
\(155\) −496145. + 338266.i −1.65874 + 1.13091i
\(156\) 34125.0 + 16433.7i 0.112269 + 0.0540660i
\(157\) −300683. 278993.i −0.973553 0.903325i 0.0217864 0.999763i \(-0.493065\pi\)
−0.995339 + 0.0964378i \(0.969255\pi\)
\(158\) 664425. 100146.i 2.11740 0.319147i
\(159\) −1721.79 + 22975.6i −0.00540115 + 0.0720733i
\(160\) 118370. 301601.i 0.365544 0.931392i
\(161\) −52431.6 229718.i −0.159415 0.698441i
\(162\) 42003.6 + 560499.i 0.125747 + 1.67798i
\(163\) −544437. 167937.i −1.60501 0.495081i −0.642493 0.766292i \(-0.722100\pi\)
−0.962520 + 0.271211i \(0.912576\pi\)
\(164\) 362480. 174561.i 1.05239 0.506802i
\(165\) −6675.67 + 11562.6i −0.0190891 + 0.0330633i
\(166\) 79546.4 + 137778.i 0.224053 + 0.388071i
\(167\) −231757. 158009.i −0.643044 0.438420i 0.197396 0.980324i \(-0.436751\pi\)
−0.840441 + 0.541904i \(0.817704\pi\)
\(168\) −20365.2 + 89225.7i −0.0556692 + 0.243903i
\(169\) 311179. + 46902.6i 0.838094 + 0.126322i
\(170\) −161912. 203032.i −0.429692 0.538817i
\(171\) −403820. −1.05608
\(172\) −438279. 739931.i −1.12961 1.90709i
\(173\) 447700. 1.13729 0.568646 0.822582i \(-0.307467\pi\)
0.568646 + 0.822582i \(0.307467\pi\)
\(174\) 118569. + 148680.i 0.296891 + 0.372289i
\(175\) 112033. + 16886.3i 0.276537 + 0.0416812i
\(176\) 35385.8 155035.i 0.0861087 0.377267i
\(177\) −51393.5 35039.5i −0.123303 0.0840668i
\(178\) −532435. 922204.i −1.25955 2.18161i
\(179\) −164076. + 284188.i −0.382747 + 0.662938i −0.991454 0.130458i \(-0.958355\pi\)
0.608707 + 0.793395i \(0.291689\pi\)
\(180\) 988150. 475868.i 2.27322 1.09472i
\(181\) 157920. + 48711.9i 0.358296 + 0.110520i 0.468677 0.883370i \(-0.344731\pi\)
−0.110381 + 0.993889i \(0.535207\pi\)
\(182\) −18621.5 248487.i −0.0416712 0.556063i
\(183\) −10499.7 46002.2i −0.0231766 0.101543i
\(184\) −329320. + 839094.i −0.717090 + 1.82712i
\(185\) 74791.3 998021.i 0.160665 2.14393i
\(186\) −208087. + 31364.0i −0.441024 + 0.0664736i
\(187\) −26432.9 24526.2i −0.0552766 0.0512892i
\(188\) 735122. + 354016.i 1.51693 + 0.730514i
\(189\) −92085.7 + 62783.0i −0.187516 + 0.127846i
\(190\) 408723. + 1.04141e6i 0.821383 + 2.09285i
\(191\) −357272. + 110204.i −0.708624 + 0.218581i −0.628056 0.778168i \(-0.716149\pi\)
−0.0805671 + 0.996749i \(0.525673\pi\)
\(192\) −8233.97 + 7640.01i −0.0161197 + 0.0149569i
\(193\) −90081.9 + 112959.i −0.174078 + 0.218287i −0.861215 0.508241i \(-0.830296\pi\)
0.687137 + 0.726528i \(0.258867\pi\)
\(194\) −913419. + 1.14539e6i −1.74247 + 2.18499i
\(195\) 25436.4 23601.5i 0.0479037 0.0444481i
\(196\) −416746. + 128549.i −0.774875 + 0.239017i
\(197\) 28298.2 + 72102.6i 0.0519509 + 0.132369i 0.954493 0.298232i \(-0.0963969\pi\)
−0.902542 + 0.430601i \(0.858302\pi\)
\(198\) 182596. 124492.i 0.331001 0.225673i
\(199\) 631823. + 304270.i 1.13100 + 0.544661i 0.903274 0.429064i \(-0.141157\pi\)
0.227726 + 0.973725i \(0.426871\pi\)
\(200\) −317730. 294810.i −0.561673 0.521156i
\(201\) −116697. + 17589.2i −0.203736 + 0.0307083i
\(202\) 38529.6 514141.i 0.0664378 0.886551i
\(203\) 314979. 802553.i 0.536465 1.36689i
\(204\) −13954.9 61140.4i −0.0234775 0.102862i
\(205\) −27544.1 367551.i −0.0457766 0.610847i
\(206\) −308469. 95150.2i −0.506459 0.156222i
\(207\) −489323. + 235645.i −0.793724 + 0.382237i
\(208\) −206644. + 357919.i −0.331181 + 0.573622i
\(209\) 77671.4 + 134531.i 0.122997 + 0.213037i
\(210\) 126221. + 86056.2i 0.197508 + 0.134658i
\(211\) −153653. + 673200.i −0.237594 + 1.04097i 0.705569 + 0.708641i \(0.250691\pi\)
−0.943164 + 0.332328i \(0.892166\pi\)
\(212\) −719940. 108514.i −1.10016 0.165823i
\(213\) −64780.0 81231.6i −0.0978345 0.122681i
\(214\) −388601. −0.580055
\(215\) −777709. + 126111.i −1.14742 + 0.186061i
\(216\) 426368. 0.621799
\(217\) 594831. + 745895.i 0.857521 + 1.07530i
\(218\) 678168. + 102217.i 0.966487 + 0.145675i
\(219\) 2930.87 12841.0i 0.00412940 0.0180921i
\(220\) −348595. 237668.i −0.485585 0.331066i
\(221\) 46857.2 + 81159.1i 0.0645351 + 0.111778i
\(222\) 175366. 303742.i 0.238815 0.413640i
\(223\) −262616. + 126469.i −0.353637 + 0.170303i −0.602265 0.798296i \(-0.705735\pi\)
0.248627 + 0.968599i \(0.420021\pi\)
\(224\) −491889. 151728.i −0.655009 0.202043i
\(225\) −19515.7 260420.i −0.0256997 0.342939i
\(226\) 575914. + 2.52324e6i 0.750044 + 3.28616i
\(227\) 307495. 783485.i 0.396071 1.00917i −0.584216 0.811598i \(-0.698598\pi\)
0.980288 0.197576i \(-0.0633068\pi\)
\(228\) −20189.8 + 269414.i −0.0257214 + 0.343228i
\(229\) 1.17208e6 176662.i 1.47696 0.222615i 0.639361 0.768907i \(-0.279199\pi\)
0.837595 + 0.546292i \(0.183961\pi\)
\(230\) 1.10297e6 + 1.02341e6i 1.37481 + 1.27564i
\(231\) 19111.6 + 9203.65i 0.0235649 + 0.0113483i
\(232\) −2.72512e6 + 1.85796e6i −3.32404 + 2.26629i
\(233\) −179092. 456320.i −0.216116 0.550655i 0.781167 0.624322i \(-0.214625\pi\)
−0.997283 + 0.0736675i \(0.976530\pi\)
\(234\) −548841. + 169295.i −0.655250 + 0.202118i
\(235\) 547952. 508425.i 0.647251 0.600561i
\(236\) 1.22553e6 1.53676e6i 1.43233 1.79608i
\(237\) 92686.5 116225.i 0.107188 0.134409i
\(238\) −302445. + 280628.i −0.346102 + 0.321136i
\(239\) −1.07299e6 + 330974.i −1.21507 + 0.374799i −0.835047 0.550179i \(-0.814560\pi\)
−0.380022 + 0.924978i \(0.624083\pi\)
\(240\) −92567.8 235859.i −0.103737 0.264316i
\(241\) 1.26903e6 865211.i 1.40744 0.959576i 0.408537 0.912742i \(-0.366039\pi\)
0.998903 0.0468342i \(-0.0149133\pi\)
\(242\) 1.39552e6 + 672047.i 1.53179 + 0.737669i
\(243\) 283459. + 263012.i 0.307946 + 0.285732i
\(244\) 1.47441e6 222232.i 1.58542 0.238964i
\(245\) −29858.1 + 398428.i −0.0317795 + 0.424068i
\(246\) 47190.1 120238.i 0.0497179 0.126679i
\(247\) −89837.5 393604.i −0.0936948 0.410504i
\(248\) −272746. 3.63954e6i −0.281597 3.75766i
\(249\) 33634.0 + 10374.7i 0.0343779 + 0.0106042i
\(250\) 1.20430e6 579959.i 1.21866 0.586877i
\(251\) 697803. 1.20863e6i 0.699115 1.21090i −0.269658 0.962956i \(-0.586911\pi\)
0.968774 0.247947i \(-0.0797559\pi\)
\(252\) −871254. 1.50906e6i −0.864258 1.49694i
\(253\) 172621. + 117691.i 0.169548 + 0.115596i
\(254\) −119258. + 522502.i −0.115985 + 0.508164i
\(255\) −56811.5 8562.96i −0.0547124 0.00824657i
\(256\) −1.23058e6 1.54310e6i −1.17357 1.47161i
\(257\) −688445. −0.650184 −0.325092 0.945682i \(-0.605395\pi\)
−0.325092 + 0.945682i \(0.605395\pi\)
\(258\) −264729. 78434.1i −0.247601 0.0733594i
\(259\) −1.59007e6 −1.47288
\(260\) 683662. + 857285.i 0.627203 + 0.786487i
\(261\) −1.96503e6 296180.i −1.78553 0.269126i
\(262\) −419485. + 1.83788e6i −0.377540 + 1.65411i
\(263\) 814368. + 555226.i 0.725991 + 0.494972i 0.869039 0.494744i \(-0.164738\pi\)
−0.143048 + 0.989716i \(0.545690\pi\)
\(264\) −40574.6 70277.3i −0.0358298 0.0620591i
\(265\) −333505. + 577648.i −0.291735 + 0.505300i
\(266\) 1.60141e6 771198.i 1.38771 0.668285i
\(267\) −225125. 69441.9i −0.193262 0.0596134i
\(268\) −278691. 3.71887e6i −0.237021 3.16282i
\(269\) −67466.2 295589.i −0.0568467 0.249062i 0.938518 0.345229i \(-0.112199\pi\)
−0.995365 + 0.0961673i \(0.969342\pi\)
\(270\) 260011. 662498.i 0.217062 0.553064i
\(271\) −115858. + 1.54602e6i −0.0958305 + 1.27877i 0.717331 + 0.696732i \(0.245363\pi\)
−0.813162 + 0.582038i \(0.802256\pi\)
\(272\) 676658. 101990.i 0.554558 0.0835861i
\(273\) −40412.6 37497.5i −0.0328179 0.0304506i
\(274\) −1.74814e6 841859.i −1.40669 0.677428i
\(275\) −83003.8 + 56591.1i −0.0661861 + 0.0451249i
\(276\) 132749. + 338240.i 0.104896 + 0.267271i
\(277\) 1.85353e6 571738.i 1.45144 0.447711i 0.533968 0.845505i \(-0.320700\pi\)
0.917475 + 0.397794i \(0.130224\pi\)
\(278\) −1.46596e6 + 1.36021e6i −1.13765 + 1.05559i
\(279\) 1.37106e6 1.71926e6i 1.05450 1.32230i
\(280\) −1.65195e6 + 2.07148e6i −1.25922 + 1.57901i
\(281\) 28348.0 26303.1i 0.0214169 0.0198720i −0.669392 0.742910i \(-0.733445\pi\)
0.690809 + 0.723038i \(0.257255\pi\)
\(282\) 250317. 77212.7i 0.187443 0.0578184i
\(283\) 950409. + 2.42160e6i 0.705414 + 1.79737i 0.595388 + 0.803438i \(0.296998\pi\)
0.110026 + 0.993929i \(0.464907\pi\)
\(284\) 2.71274e6 1.84952e6i 1.99578 1.36070i
\(285\) 223000. + 107391.i 0.162627 + 0.0783170i
\(286\) 161965. + 150281.i 0.117086 + 0.108640i
\(287\) −579051. + 87277.9i −0.414966 + 0.0625460i
\(288\) −88667.1 + 1.18318e6i −0.0629914 + 0.840562i
\(289\) −462043. + 1.17727e6i −0.325415 + 0.829144i
\(290\) 1.22507e6 + 5.36738e6i 0.855394 + 3.74772i
\(291\) 24221.4 + 323213.i 0.0167675 + 0.223746i
\(292\) 397723. + 122681.i 0.272976 + 0.0842018i
\(293\) −247590. + 119233.i −0.168486 + 0.0811385i −0.516226 0.856452i \(-0.672663\pi\)
0.347740 + 0.937591i \(0.386949\pi\)
\(294\) −70009.3 + 121260.i −0.0472376 + 0.0818178i
\(295\) −900372. 1.55949e6i −0.602375 1.04334i
\(296\) 5.02598e6 + 3.42665e6i 3.33420 + 2.27322i
\(297\) 21990.0 96344.3i 0.0144655 0.0633775i
\(298\) −1.43872e6 216851.i −0.938500 0.141456i
\(299\) −338543. 424520.i −0.218996 0.274612i
\(300\) −174718. −0.112082
\(301\) 292138. + 1.21717e6i 0.185854 + 0.774349i
\(302\) −1.97785e6 −1.24789
\(303\) −71120.0 89181.6i −0.0445026 0.0558044i
\(304\) −2.91507e6 439377.i −1.80911 0.272680i
\(305\) 303967. 1.33177e6i 0.187101 0.819744i
\(306\) 785745. + 535712.i 0.479709 + 0.327060i
\(307\) 201901. + 349703.i 0.122262 + 0.211765i 0.920660 0.390367i \(-0.127652\pi\)
−0.798397 + 0.602131i \(0.794318\pi\)
\(308\) −335157. + 580508.i −0.201313 + 0.348684i
\(309\) −64346.0 + 30987.4i −0.0383377 + 0.0184624i
\(310\) −5.82151e6 1.79570e6i −3.44058 1.06128i
\(311\) 33891.4 + 452249.i 0.0198696 + 0.265141i 0.998287 + 0.0585036i \(0.0186329\pi\)
−0.978418 + 0.206637i \(0.933748\pi\)
\(312\) 46930.1 + 205614.i 0.0272938 + 0.119582i
\(313\) 322151. 820827.i 0.185865 0.473577i −0.807321 0.590112i \(-0.799084\pi\)
0.993187 + 0.116535i \(0.0371788\pi\)
\(314\) 310984. 4.14979e6i 0.177998 2.37521i
\(315\) −1.57854e6 + 237926.i −0.896352 + 0.135103i
\(316\) 3.44360e6 + 3.19520e6i 1.93997 + 1.80003i
\(317\) −152158. 73275.4i −0.0850446 0.0409553i 0.390878 0.920443i \(-0.372171\pi\)
−0.475923 + 0.879487i \(0.657886\pi\)
\(318\) −193134. + 131676.i −0.107100 + 0.0730196i
\(319\) 279285. + 711608.i 0.153664 + 0.391529i
\(320\) −310733. + 95848.6i −0.169634 + 0.0523252i
\(321\) −63023.4 + 58477.2i −0.0341381 + 0.0316755i
\(322\) 1.49046e6 1.86898e6i 0.801088 1.00453i
\(323\) −416783. + 522629.i −0.222281 + 0.278732i
\(324\) −2.88059e6 + 2.67279e6i −1.52447 + 1.41450i
\(325\) 249490. 76957.3i 0.131022 0.0404149i
\(326\) −2.11179e6 5.38076e6i −1.10054 2.80414i
\(327\) 125367. 85474.0i 0.0648358 0.0442043i
\(328\) 2.01838e6 + 971999.i 1.03590 + 0.498863i
\(329\) −870571. 807772.i −0.443419 0.411433i
\(330\) −133942. + 20188.5i −0.0677066 + 0.0102051i
\(331\) −18902.1 + 252230.i −0.00948285 + 0.126540i −0.999936 0.0113096i \(-0.996400\pi\)
0.990453 + 0.137849i \(0.0440190\pi\)
\(332\) −406353. + 1.03537e6i −0.202329 + 0.515526i
\(333\) 815553. + 3.57317e6i 0.403034 + 1.76581i
\(334\) −212662. 2.83778e6i −0.104310 1.39192i
\(335\) −3.26475e6 1.00704e6i −1.58942 0.490270i
\(336\) −362688. + 174661.i −0.175261 + 0.0844012i
\(337\) 227602. 394219.i 0.109170 0.189087i −0.806264 0.591555i \(-0.798514\pi\)
0.915434 + 0.402468i \(0.131847\pi\)
\(338\) 1.59634e6 + 2.76495e6i 0.760037 + 1.31642i
\(339\) 473103. + 322556.i 0.223592 + 0.152443i
\(340\) 403995. 1.77002e6i 0.189530 0.830387i
\(341\) −836476. 126078.i −0.389554 0.0587158i
\(342\) −2.55438e6 3.20309e6i −1.18092 1.48083i
\(343\) 2.36992e6 1.08768
\(344\) 1.69964e6 4.47687e6i 0.774393 2.03975i
\(345\) 332884. 0.150572
\(346\) 2.83195e6 + 3.55115e6i 1.27173 + 1.59470i
\(347\) −688897. 103835.i −0.307136 0.0462933i −0.00633413 0.999980i \(-0.502016\pi\)
−0.300802 + 0.953687i \(0.597254\pi\)
\(348\) −295846. + 1.29619e6i −0.130954 + 0.573746i
\(349\) 1.84323e6 + 1.25670e6i 0.810059 + 0.552289i 0.896022 0.444009i \(-0.146444\pi\)
−0.0859630 + 0.996298i \(0.527397\pi\)
\(350\) 574731. + 995463.i 0.250781 + 0.434365i
\(351\) −128416. + 222423.i −0.0556355 + 0.0963635i
\(352\) 411225. 198036.i 0.176898 0.0851897i
\(353\) −3.24161e6 999905.i −1.38460 0.427093i −0.489129 0.872211i \(-0.662685\pi\)
−0.895472 + 0.445119i \(0.853161\pi\)
\(354\) −47159.2 629296.i −0.0200013 0.266899i
\(355\) −669318. 2.93247e6i −0.281878 1.23499i
\(356\) 2.71988e6 6.93014e6i 1.13743 2.89813i
\(357\) −6821.37 + 91024.8i −0.00283270 + 0.0377998i
\(358\) −3.29204e6 + 496196.i −1.35756 + 0.204619i
\(359\) 2.72186e6 + 2.52552e6i 1.11463 + 1.03422i 0.999163 + 0.0409113i \(0.0130261\pi\)
0.115464 + 0.993312i \(0.463164\pi\)
\(360\) 5.50225e6 + 2.64975e6i 2.23761 + 1.07758i
\(361\) 333544. 227407.i 0.134706 0.0918407i
\(362\) 612550. + 1.56075e6i 0.245680 + 0.625982i
\(363\) 327457. 101007.i 0.130433 0.0402333i
\(364\) 1.27705e6 1.18493e6i 0.505190 0.468748i
\(365\) 237741. 298118.i 0.0934056 0.117127i
\(366\) 298472. 374272.i 0.116467 0.146044i
\(367\) −1.01122e6 + 938277.i −0.391905 + 0.363635i −0.851374 0.524559i \(-0.824230\pi\)
0.459469 + 0.888194i \(0.348040\pi\)
\(368\) −3.78869e6 + 1.16866e6i −1.45838 + 0.449850i
\(369\) 493125. + 1.25646e6i 0.188535 + 0.480378i
\(370\) 8.38938e6 5.71978e6i 3.18585 2.17208i
\(371\) 954783. + 459799.i 0.360139 + 0.173434i
\(372\) −1.07848e6 1.00068e6i −0.404068 0.374920i
\(373\) −405564. + 61129.0i −0.150934 + 0.0227497i −0.224075 0.974572i \(-0.571936\pi\)
0.0731405 + 0.997322i \(0.476698\pi\)
\(374\) 27338.5 364807.i 0.0101064 0.134860i
\(375\) 108040. 275282.i 0.0396741 0.101088i
\(376\) 1.01097e6 + 4.42935e6i 0.368781 + 1.61574i
\(377\) −148471. 1.98121e6i −0.0538007 0.717921i
\(378\) −1.08049e6 333286.i −0.388946 0.119974i
\(379\) −2.60603e6 + 1.25500e6i −0.931925 + 0.448791i −0.837314 0.546723i \(-0.815875\pi\)
−0.0946112 + 0.995514i \(0.530161\pi\)
\(380\) −3.91071e6 + 6.77355e6i −1.38930 + 2.40634i
\(381\) 59285.6 + 102686.i 0.0209236 + 0.0362408i
\(382\) −3.13408e6 2.13678e6i −1.09888 0.749205i
\(383\) −461621. + 2.02249e6i −0.160801 + 0.704515i 0.828665 + 0.559746i \(0.189101\pi\)
−0.989465 + 0.144769i \(0.953756\pi\)
\(384\) −466816. 70361.2i −0.161554 0.0243503i
\(385\) 382882. + 480119.i 0.131648 + 0.165081i
\(386\) −1.46581e6 −0.500736
\(387\) 2.58536e6 1.28078e6i 0.877494 0.434706i
\(388\) −1.02423e7 −3.45395
\(389\) 1.80809e6 + 2.26727e6i 0.605822 + 0.759677i 0.986273 0.165124i \(-0.0528025\pi\)
−0.380450 + 0.924801i \(0.624231\pi\)
\(390\) 348106. + 52468.6i 0.115891 + 0.0174678i
\(391\) −200055. + 876497.i −0.0661770 + 0.289940i
\(392\) −2.00646e6 1.36798e6i −0.659502 0.449641i
\(393\) 208535. + 361194.i 0.0681080 + 0.117966i
\(394\) −392915. + 680549.i −0.127514 + 0.220861i
\(395\) 3.87745e6 1.86728e6i 1.25041 0.602168i
\(396\) 1.47640e6 + 455410.i 0.473116 + 0.145937i
\(397\) −241719. 3.22552e6i −0.0769724 1.02712i −0.893278 0.449505i \(-0.851601\pi\)
0.816306 0.577620i \(-0.196019\pi\)
\(398\) 1.58316e6 + 6.93628e6i 0.500977 + 2.19492i
\(399\) 143666. 366056.i 0.0451775 0.115111i
\(400\) 142470. 1.90114e6i 0.0445220 0.594105i
\(401\) 2.96258e6 446537.i 0.920046 0.138675i 0.328091 0.944646i \(-0.393595\pi\)
0.591954 + 0.805971i \(0.298357\pi\)
\(402\) −877687. 814375.i −0.270879 0.251339i
\(403\) 1.98078e6 + 953895.i 0.607540 + 0.292576i
\(404\) 2.97823e6 2.03053e6i 0.907832 0.618949i
\(405\) 1.31523e6 + 3.35116e6i 0.398442 + 1.01521i
\(406\) 8.35825e6 2.57818e6i 2.51652 0.776244i
\(407\) 1.03352e6 958966.i 0.309266 0.286957i
\(408\) 217722. 273015.i 0.0647519 0.0811964i
\(409\) 1.21318e6 1.52128e6i 0.358606 0.449677i −0.569502 0.821990i \(-0.692864\pi\)
0.928107 + 0.372313i \(0.121435\pi\)
\(410\) 2.74117e6 2.54344e6i 0.805336 0.747242i
\(411\) −410198. + 126529.i −0.119781 + 0.0369476i
\(412\) −824521. 2.10084e6i −0.239309 0.609749i
\(413\) −2.36385e6 + 1.61164e6i −0.681937 + 0.464937i
\(414\) −4.96437e6 2.39072e6i −1.42352 0.685531i
\(415\) 746962. + 693079.i 0.212901 + 0.197543i
\(416\) −1.17297e6 + 176797.i −0.332319 + 0.0500890i
\(417\) −33063.3 + 441199.i −0.00931120 + 0.124249i
\(418\) −575782. + 1.46707e6i −0.161182 + 0.410686i
\(419\) −851662. 3.73137e6i −0.236991 1.03833i −0.943695 0.330817i \(-0.892676\pi\)
0.706704 0.707510i \(-0.250181\pi\)
\(420\) 79813.6 + 1.06504e6i 0.0220777 + 0.294606i
\(421\) 2.05105e6 + 632667.i 0.563991 + 0.173968i 0.563624 0.826032i \(-0.309407\pi\)
0.000367308 1.00000i \(0.499883\pi\)
\(422\) −6.31175e6 + 3.03958e6i −1.72532 + 0.830869i
\(423\) −1.36868e6 + 2.37063e6i −0.371923 + 0.644189i
\(424\) −2.02704e6 3.51094e6i −0.547580 0.948437i
\(425\) −357180. 243521.i −0.0959213 0.0653981i
\(426\) 234559. 1.02767e6i 0.0626221 0.274365i
\(427\) −2.14605e6 323464.i −0.569599 0.0858533i
\(428\) −1.69390e6 2.12408e6i −0.446970 0.560482i
\(429\) 48882.1 0.0128235
\(430\) −5.91974e6 5.37105e6i −1.54394 1.40084i
\(431\) 3.19023e6 0.827235 0.413618 0.910451i \(-0.364265\pi\)
0.413618 + 0.910451i \(0.364265\pi\)
\(432\) 1.16928e6 + 1.46623e6i 0.301447 + 0.378002i
\(433\) −2.61410e6 394012.i −0.670042 0.100993i −0.194794 0.980844i \(-0.562404\pi\)
−0.475248 + 0.879852i \(0.657642\pi\)
\(434\) −2.15379e6 + 9.43639e6i −0.548883 + 2.40481i
\(435\) 1.00637e6 + 686134.i 0.254998 + 0.173854i
\(436\) 2.39740e6 + 4.15241e6i 0.603982 + 1.04613i
\(437\) 1.93655e6 3.35420e6i 0.485093 0.840206i
\(438\) 120394. 57978.7i 0.0299861 0.0144405i
\(439\) −1.12289e6 346367.i −0.278085 0.0857778i 0.152576 0.988292i \(-0.451243\pi\)
−0.430661 + 0.902514i \(0.641719\pi\)
\(440\) −175562. 2.34271e6i −0.0432312 0.576881i
\(441\) −325584. 1.42648e6i −0.0797198 0.349275i
\(442\) −347355. + 885046.i −0.0845703 + 0.215482i
\(443\) 6860.19 91542.9i 0.00166084 0.0221623i −0.996312 0.0858066i \(-0.972653\pi\)
0.997973 + 0.0636443i \(0.0202723\pi\)
\(444\) 2.42466e6 365459.i 0.583706 0.0879795i
\(445\) −4.99971e6 4.63905e6i −1.19686 1.11053i
\(446\) −2.66434e6 1.28308e6i −0.634238 0.305433i
\(447\) −265964. + 181331.i −0.0629584 + 0.0429243i
\(448\) 188749. + 480924.i 0.0444313 + 0.113209i
\(449\) 924643. 285215.i 0.216450 0.0667661i −0.184633 0.982807i \(-0.559110\pi\)
0.401084 + 0.916041i \(0.368634\pi\)
\(450\) 1.94220e6 1.80209e6i 0.452128 0.419514i
\(451\) 323736. 405952.i 0.0749462 0.0939796i
\(452\) −1.12816e7 + 1.41467e7i −2.59732 + 3.25693i
\(453\) −320768. + 297629.i −0.0734421 + 0.0681443i
\(454\) 8.15967e6 2.51692e6i 1.85794 0.573100i
\(455\) −583083. 1.48567e6i −0.132039 0.336430i
\(456\) −1.24297e6 + 847441.i −0.279929 + 0.190852i
\(457\) −3.95586e6 1.90504e6i −0.886033 0.426691i −0.0652088 0.997872i \(-0.520771\pi\)
−0.820824 + 0.571181i \(0.806486\pi\)
\(458\) 8.81531e6 + 8.17941e6i 1.96369 + 1.82204i
\(459\) 420499. 63380.0i 0.0931608 0.0140417i
\(460\) −786103. + 1.04898e7i −0.173215 + 2.31139i
\(461\) 1.09655e6 2.79395e6i 0.240312 0.612304i −0.758933 0.651169i \(-0.774279\pi\)
0.999244 + 0.0388649i \(0.0123742\pi\)
\(462\) 47888.0 + 209811.i 0.0104381 + 0.0457323i
\(463\) −319415. 4.26230e6i −0.0692473 0.924041i −0.918339 0.395795i \(-0.870469\pi\)
0.849092 0.528246i \(-0.177150\pi\)
\(464\) −1.38628e7 4.27610e6i −2.98920 0.922047i
\(465\) −1.21435e6 + 584802.i −0.260443 + 0.125423i
\(466\) 2.48667e6 4.30703e6i 0.530460 0.918783i
\(467\) 2.77011e6 + 4.79797e6i 0.587766 + 1.01804i 0.994524 + 0.104505i \(0.0333257\pi\)
−0.406759 + 0.913536i \(0.633341\pi\)
\(468\) −3.31775e6 2.26200e6i −0.700210 0.477395i
\(469\) −1.20786e6 + 5.29200e6i −0.253563 + 1.11093i
\(470\) 7.49892e6 + 1.13028e6i 1.56586 + 0.236016i
\(471\) −574031. 719813.i −0.119229 0.149509i
\(472\) 1.09449e7 2.26129
\(473\) −923957. 614955.i −0.189889 0.126383i
\(474\) 1.50819e6 0.308326
\(475\) 1.16116e6 + 1.45605e6i 0.236134 + 0.296102i
\(476\) −2.85226e6 429909.i −0.576994 0.0869679i
\(477\) 543537. 2.38139e6i 0.109379 0.479220i
\(478\) −9.41252e6 6.41735e6i −1.88424 1.28465i
\(479\) −537588. 931131.i −0.107056 0.185426i 0.807520 0.589840i \(-0.200809\pi\)
−0.914576 + 0.404413i \(0.867476\pi\)
\(480\) 363617. 629803.i 0.0720346 0.124768i
\(481\) −3.30134e6 + 1.58984e6i −0.650620 + 0.313322i
\(482\) 1.48902e7 + 4.59301e6i 2.91932 + 0.900491i
\(483\) −39523.0 527398.i −0.00770872 0.102866i
\(484\) 2.40964e6 + 1.05573e7i 0.467562 + 2.04852i
\(485\) −3.42809e6 + 8.73463e6i −0.661756 + 1.68613i
\(486\) −293170. + 3.91209e6i −0.0563027 + 0.751307i
\(487\) 4.18642e6 631001.i 0.799872 0.120561i 0.263628 0.964624i \(-0.415081\pi\)
0.536244 + 0.844063i \(0.319843\pi\)
\(488\) 6.08625e6 + 5.64721e6i 1.15691 + 1.07346i
\(489\) −1.15219e6 554868.i −0.217898 0.104934i
\(490\) −3.34920e6 + 2.28344e6i −0.630160 + 0.429636i
\(491\) −2.16952e6 5.52785e6i −0.406125 1.03479i −0.976903 0.213685i \(-0.931453\pi\)
0.570777 0.821105i \(-0.306642\pi\)
\(492\) 862921. 266176.i 0.160716 0.0495742i
\(493\) −2.41143e6 + 2.23748e6i −0.446845 + 0.414611i
\(494\) 2.55379e6 3.20235e6i 0.470834 0.590407i
\(495\) 882530. 1.10666e6i 0.161889 0.203002i
\(496\) 1.17680e7 1.09191e7i 2.14782 1.99289i
\(497\) −4.56654e6 + 1.40859e6i −0.829270 + 0.255796i
\(498\) 130461. + 332410.i 0.0235726 + 0.0600621i
\(499\) −4.19751e6 + 2.86181e6i −0.754641 + 0.514505i −0.878470 0.477798i \(-0.841435\pi\)
0.123829 + 0.992304i \(0.460483\pi\)
\(500\) 8.41954e6 + 4.05464e6i 1.50613 + 0.725315i
\(501\) −461523. 428231.i −0.0821484 0.0762226i
\(502\) 1.40008e7 2.11029e6i 2.47967 0.373751i
\(503\) 638076. 8.51454e6i 0.112448 1.50052i −0.600683 0.799487i \(-0.705105\pi\)
0.713131 0.701030i \(-0.247276\pi\)
\(504\) 3.54479e6 9.03199e6i 0.621605 1.58382i
\(505\) −734823. 3.21947e6i −0.128219 0.561766i
\(506\) 158399. + 2.11369e6i 0.0275028 + 0.366999i
\(507\) 674969. + 208200.i 0.116618 + 0.0359718i
\(508\) −3.37583e6 + 1.62571e6i −0.580391 + 0.279502i
\(509\) −4.14350e6 + 7.17676e6i −0.708881 + 1.22782i 0.256392 + 0.966573i \(0.417466\pi\)
−0.965273 + 0.261245i \(0.915867\pi\)
\(510\) −291443. 504793.i −0.0496167 0.0859386i
\(511\) −500545. 341266.i −0.0847990 0.0578150i
\(512\) 2.95808e6 1.29602e7i 0.498695 2.18492i
\(513\) −1.81153e6 273044.i −0.303915 0.0458078i
\(514\) −4.35479e6 5.46073e6i −0.727042 0.911682i
\(515\) −2.06758e6 −0.343513
\(516\) −725227. 1.78889e6i −0.119908 0.295774i
\(517\) 1.05302e6 0.173265
\(518\) −1.00581e7 1.26124e7i −1.64699 2.06526i
\(519\) 993669. + 149772.i 0.161929 + 0.0244068i
\(520\) −1.35863e6 + 5.95254e6i −0.220340 + 0.965370i
\(521\) −7.85448e6 5.35509e6i −1.26772 0.864316i −0.272516 0.962151i \(-0.587856\pi\)
−0.995203 + 0.0978352i \(0.968808\pi\)
\(522\) −1.00806e7 1.74601e7i −1.61923 2.80459i
\(523\) 2.40579e6 4.16694e6i 0.384594 0.666137i −0.607119 0.794611i \(-0.707675\pi\)
0.991713 + 0.128475i \(0.0410081\pi\)
\(524\) −1.18744e7 + 5.71839e6i −1.88922 + 0.909799i
\(525\) 243009. + 74958.3i 0.0384790 + 0.0118692i
\(526\) 747273. + 9.97166e6i 0.117765 + 1.57146i
\(527\) −810012. 3.54890e6i −0.127047 0.556630i
\(528\) 130403. 332262.i 0.0203565 0.0518676i
\(529\) −91717.6 + 1.22389e6i −0.0142499 + 0.190152i
\(530\) −6.69150e6 + 1.00858e6i −1.03475 + 0.155963i
\(531\) 4.83406e6 + 4.48535e6i 0.744005 + 0.690336i
\(532\) 1.11959e7 + 5.39164e6i 1.71506 + 0.825927i
\(533\) −1.11497e6 + 760174.i −0.169999 + 0.115903i
\(534\) −873228. 2.22495e6i −0.132518 0.337650i
\(535\) −2.37838e6 + 733632.i −0.359249 + 0.110814i
\(536\) 1.52223e7 1.41242e7i 2.28859 2.12350i
\(537\) −459237. + 575864.i −0.0687228 + 0.0861756i
\(538\) 1.91784e6 2.40490e6i 0.285665 0.358213i
\(539\) −412600. + 382837.i −0.0611727 + 0.0567600i
\(540\) 4.75458e6 1.46659e6i 0.701662 0.216434i
\(541\) 116501. + 296839.i 0.0171134 + 0.0436042i 0.939175 0.343439i \(-0.111592\pi\)
−0.922062 + 0.387043i \(0.873497\pi\)
\(542\) −1.29959e7 + 8.86045e6i −1.90024 + 1.29556i
\(543\) 334208. + 160946.i 0.0486426 + 0.0234250i
\(544\) 1.43977e6 + 1.33591e6i 0.208592 + 0.193545i
\(545\) 4.34361e6 654693.i 0.626411 0.0944162i
\(546\) 41797.2 557744.i 0.00600019 0.0800670i
\(547\) −1.07221e6 + 2.73195e6i −0.153219 + 0.390395i −0.986787 0.162021i \(-0.948199\pi\)
0.833569 + 0.552416i \(0.186294\pi\)
\(548\) −3.01850e6 1.32249e7i −0.429378 1.88123i
\(549\) 373832. + 4.98844e6i 0.0529353 + 0.706373i
\(550\) −973924. 300416.i −0.137284 0.0423464i
\(551\) 1.27682e7 6.14884e6i 1.79164 0.862808i
\(552\) −1.01163e6 + 1.75220e6i −0.141310 + 0.244757i
\(553\) −3.41876e6 5.92146e6i −0.475396 0.823410i
\(554\) 1.62596e7 + 1.10856e7i 2.25079 + 1.53456i
\(555\) 499872. 2.19008e6i 0.0688853 0.301806i
\(556\) −1.38249e7 2.08377e6i −1.89660 0.285867i
\(557\) −3.73031e6 4.67766e6i −0.509456 0.638837i 0.458877 0.888500i \(-0.348252\pi\)
−0.968333 + 0.249662i \(0.919680\pi\)
\(558\) 2.23099e7 3.03327
\(559\) 1.82354e6 + 2.23502e6i 0.246823 + 0.302519i
\(560\) −1.16539e7 −1.57037
\(561\) −50462.9 63278.5i −0.00676963 0.00848885i
\(562\) 387952. + 58474.4i 0.0518128 + 0.00780953i
\(563\) 1.43975e6 6.30795e6i 0.191433 0.838721i −0.784410 0.620243i \(-0.787034\pi\)
0.975842 0.218477i \(-0.0701090\pi\)
\(564\) 1.51317e6 + 1.03166e6i 0.200304 + 0.136565i
\(565\) 8.28839e6 + 1.43559e7i 1.09232 + 1.89195i
\(566\) −1.31963e7 + 2.28566e7i −1.73145 + 2.99896i
\(567\) 5.15319e6 2.48164e6i 0.673160 0.324177i
\(568\) 1.74697e7 + 5.38868e6i 2.27203 + 0.700828i
\(569\) 253906. + 3.38814e6i 0.0328770 + 0.438713i 0.989217 + 0.146457i \(0.0467870\pi\)
−0.956340 + 0.292256i \(0.905594\pi\)
\(570\) 558772. + 2.44814e6i 0.0720356 + 0.315609i
\(571\) −3.42699e6 + 8.73183e6i −0.439868 + 1.12077i 0.523367 + 0.852107i \(0.324676\pi\)
−0.963235 + 0.268659i \(0.913420\pi\)
\(572\) −115435. + 1.54037e6i −0.0147518 + 0.196850i
\(573\) −829831. + 125077.i −0.105585 + 0.0159144i
\(574\) −4.35510e6 4.04094e6i −0.551720 0.511921i
\(575\) 2.25668e6 + 1.08676e6i 0.284643 + 0.137077i
\(576\) 983910. 670818.i 0.123566 0.0842459i
\(577\) −4.45862e6 1.13604e7i −0.557521 1.42054i −0.880460 0.474121i \(-0.842766\pi\)
0.322939 0.946420i \(-0.395329\pi\)
\(578\) −1.22607e7 + 3.78194e6i −1.52650 + 0.470863i
\(579\) −237725. + 220577.i −0.0294699 + 0.0273441i
\(580\) −2.39980e7 + 3.00925e7i −2.96213 + 3.71439i
\(581\) 1.00938e6 1.26572e6i 0.124055 0.155560i
\(582\) −2.41050e6 + 2.23662e6i −0.294985 + 0.273706i
\(583\) −897895. + 276964.i −0.109409 + 0.0337483i
\(584\) 846708. + 2.15738e6i 0.102731 + 0.261754i
\(585\) −3.03950e6 + 2.07229e6i −0.367208 + 0.250358i
\(586\) −2.51189e6 1.20966e6i −0.302174 0.145519i
\(587\) −5.80254e6 5.38397e6i −0.695061 0.644922i 0.251347 0.967897i \(-0.419127\pi\)
−0.946408 + 0.322975i \(0.895317\pi\)
\(588\) −967971. + 145898.i −0.115457 + 0.0174023i
\(589\) −1.17192e6 + 1.56381e7i −0.139190 + 1.85736i
\(590\) 6.67451e6 1.70064e7i 0.789385 2.01132i
\(591\) 38686.9 + 169498.i 0.00455612 + 0.0199617i
\(592\) 1.99948e6 + 2.66812e7i 0.234483 + 3.12896i
\(593\) 308353. + 95114.3i 0.0360090 + 0.0111073i 0.312707 0.949850i \(-0.398764\pi\)
−0.276698 + 0.960957i \(0.589240\pi\)
\(594\) 903300. 435007.i 0.105043 0.0505859i
\(595\) −1.32128e6 + 2.28853e6i −0.153004 + 0.265011i
\(596\) −5.08602e6 8.80924e6i −0.586492 1.01583i
\(597\) 1.30054e6 + 886693.i 0.149344 + 0.101821i
\(598\) 1.22581e6 5.37064e6i 0.140175 0.614148i
\(599\) 283304. + 42701.2i 0.0322616 + 0.00486265i 0.165153 0.986268i \(-0.447188\pi\)
−0.132892 + 0.991131i \(0.542426\pi\)
\(600\) −606576. 760622.i −0.0687871 0.0862563i
\(601\) −1.03167e6 −0.116508 −0.0582538 0.998302i \(-0.518553\pi\)
−0.0582538 + 0.998302i \(0.518553\pi\)
\(602\) −7.80668e6 + 1.00165e7i −0.877961 + 1.12649i
\(603\) 1.25116e7 1.40126
\(604\) −8.62137e6 1.08109e7i −0.961577 1.20578i
\(605\) 9.80984e6 + 1.47859e6i 1.08962 + 0.164233i
\(606\) 257515. 1.12824e6i 0.0284853 0.124802i
\(607\) −1.03224e7 7.03767e6i −1.13712 0.775277i −0.159824 0.987145i \(-0.551093\pi\)
−0.977298 + 0.211868i \(0.932045\pi\)
\(608\) −4.23068e6 7.32775e6i −0.464142 0.803918i
\(609\) 967577. 1.67589e6i 0.105716 0.183106i
\(610\) 1.24863e7 6.01309e6i 1.35866 0.654294i
\(611\) −2.61515e6 806666.i −0.283396 0.0874160i
\(612\) 496851. + 6.63002e6i 0.0536226 + 0.715544i
\(613\) 1.58402e6 + 6.94005e6i 0.170259 + 0.745953i 0.985892 + 0.167383i \(0.0535317\pi\)
−0.815633 + 0.578569i \(0.803611\pi\)
\(614\) −1.49670e6 + 3.81354e6i −0.160219 + 0.408232i
\(615\) 61824.6 824991.i 0.00659133 0.0879552i
\(616\) −3.69078e6 + 556295.i −0.391891 + 0.0590681i
\(617\) 320850. + 297705.i 0.0339304 + 0.0314828i 0.696956 0.717114i \(-0.254537\pi\)
−0.663025 + 0.748597i \(0.730728\pi\)
\(618\) −652816. 314379.i −0.0687574 0.0331118i
\(619\) 5.67299e6 3.86778e6i 0.595093 0.405728i −0.227977 0.973666i \(-0.573211\pi\)
0.823071 + 0.567939i \(0.192259\pi\)
\(620\) −1.55605e7 3.96476e7i −1.62572 4.14227i
\(621\) −2.35443e6 + 726244.i −0.244994 + 0.0755708i
\(622\) −3.37285e6 + 3.12955e6i −0.349559 + 0.324344i
\(623\) −6.75617e6 + 8.47197e6i −0.697398 + 0.874509i
\(624\) −578383. + 725269.i −0.0594640 + 0.0745655i
\(625\) 8.78984e6 8.15578e6i 0.900080 0.835152i
\(626\) 8.54856e6 2.63688e6i 0.871881 0.268940i
\(627\) 127386. + 324574.i 0.0129406 + 0.0329720i
\(628\) 2.40383e7 1.63890e7i 2.43223 1.65826i
\(629\) 5.46617e6 + 2.63237e6i 0.550880 + 0.265290i
\(630\) −1.18723e7 1.10159e7i −1.19175 1.10578i
\(631\) 9.53006e6 1.43643e6i 0.952845 0.143618i 0.345820 0.938301i \(-0.387601\pi\)
0.607025 + 0.794683i \(0.292363\pi\)
\(632\) −1.95475e6 + 2.60844e7i −0.194670 + 2.59769i
\(633\) −566242. + 1.44276e6i −0.0561685 + 0.143115i
\(634\) −381263. 1.67042e6i −0.0376705 0.165045i
\(635\) 256522. + 3.42305e6i 0.0252459 + 0.336883i
\(636\) −1.56160e6 481691.i −0.153083 0.0472200i
\(637\) 1.31796e6 634694.i 0.128692 0.0619749i
\(638\) −3.87783e6 + 6.71660e6i −0.377170 + 0.653277i
\(639\) 5.50753e6 + 9.53932e6i 0.533586 + 0.924199i
\(640\) −1.12922e7 7.69889e6i −1.08975 0.742982i
\(641\) 418314. 1.83275e6i 0.0402121 0.176181i −0.950834 0.309701i \(-0.899771\pi\)
0.991046 + 0.133520i \(0.0426281\pi\)
\(642\) −862498. 130001.i −0.0825887 0.0124482i
\(643\) 1.10384e7 + 1.38417e7i 1.05288 + 1.32027i 0.945346 + 0.326069i \(0.105724\pi\)
0.107534 + 0.994201i \(0.465704\pi\)
\(644\) 1.67127e7 1.58793
\(645\) −1.76831e6 + 19731.5i −0.167363 + 0.00186750i
\(646\) −6.78186e6 −0.639393
\(647\) −1.78691e6 2.24072e6i −0.167820 0.210439i 0.690809 0.723037i \(-0.257255\pi\)
−0.858629 + 0.512598i \(0.828683\pi\)
\(648\) −2.16364e7 3.26117e6i −2.02418 0.305096i
\(649\) 564484. 2.47316e6i 0.0526065 0.230484i
\(650\) 2.18858e6 + 1.49215e6i 0.203179 + 0.138525i
\(651\) 1.07070e6 + 1.85450e6i 0.0990181 + 0.171504i
\(652\) 2.02059e7 3.49976e7i 1.86148 3.22418i
\(653\) 1.35163e7 6.50913e6i 1.24044 0.597365i 0.305508 0.952189i \(-0.401174\pi\)
0.934933 + 0.354824i \(0.115459\pi\)
\(654\) 1.47100e6 + 453742.i 0.134483 + 0.0414825i
\(655\) 902307. + 1.20404e7i 0.0821771 + 1.09658i
\(656\) 2.19265e6 + 9.60663e6i 0.198934 + 0.871588i
\(657\) −510152. + 1.29985e6i −0.0461090 + 0.117484i
\(658\) 900397. 1.20150e7i 0.0810717 1.08183i
\(659\) −9.51352e6 + 1.43393e6i −0.853351 + 0.128622i −0.561129 0.827728i \(-0.689633\pi\)
−0.292222 + 0.956350i \(0.594395\pi\)
\(660\) −694198. 644121.i −0.0620331 0.0575583i
\(661\) −1.89007e7 9.10209e6i −1.68257 0.810284i −0.996576 0.0826785i \(-0.973653\pi\)
−0.685996 0.727605i \(-0.740633\pi\)
\(662\) −2.12025e6 + 1.44556e6i −0.188037 + 0.128201i
\(663\) 76848.8 + 195808.i 0.00678975 + 0.0173000i
\(664\) −5.91816e6 + 1.82551e6i −0.520915 + 0.160681i
\(665\) 8.34527e6 7.74328e6i 0.731790 0.679002i
\(666\) −2.31835e7 + 2.90712e7i −2.02532 + 2.53967i
\(667\) 1.18836e7 1.49015e7i 1.03427 1.29693i
\(668\) 1.45843e7 1.35322e7i 1.26457 1.17335i
\(669\) −625183. + 192843.i −0.0540059 + 0.0166586i
\(670\) −1.26635e7 3.22660e7i −1.08985 2.77689i
\(671\) 1.58997e6 1.08402e6i 0.136327 0.0929465i
\(672\) −1.04099e6 501313.i −0.0889247 0.0428239i
\(673\) 8.43740e6 + 7.82877e6i 0.718077 + 0.666278i 0.952042 0.305967i \(-0.0989796\pi\)
−0.233965 + 0.972245i \(0.575170\pi\)
\(674\) 4.56665e6 688311.i 0.387211 0.0583627i
\(675\) 88536.2 1.18143e6i 0.00747931 0.0998044i
\(676\) −8.15473e6 + 2.07779e7i −0.686346 + 1.74878i
\(677\) −3.34032e6 1.46349e7i −0.280102 1.22721i −0.897662 0.440685i \(-0.854736\pi\)
0.617559 0.786524i \(-0.288122\pi\)
\(678\) 434125. + 5.79299e6i 0.0362694 + 0.483982i
\(679\) 1.42456e7 + 4.39417e6i 1.18578 + 0.365765i
\(680\) 9.10821e6 4.38628e6i 0.755372 0.363768i
\(681\) 944588. 1.63607e6i 0.0780503 0.135187i
\(682\) −4.29112e6 7.43243e6i −0.353272 0.611885i
\(683\) 1.31434e7 + 8.96102e6i 1.07809 + 0.735031i 0.965968 0.258663i \(-0.0832820\pi\)
0.112125 + 0.993694i \(0.464234\pi\)
\(684\) 6.37356e6 2.79244e7i 0.520885 2.28215i
\(685\) −1.22886e7 1.85220e6i −1.00063 0.150821i
\(686\) 1.49911e7 + 1.87982e7i 1.21625 + 1.52513i
\(687\) 2.66052e6 0.215068
\(688\) 2.00566e7 6.43259e6i 1.61542 0.518101i
\(689\) 2.44207e6 0.195979
\(690\) 2.10567e6 + 2.64043e6i 0.168371 + 0.211131i
\(691\) −2.23263e7 3.36515e6i −1.77878 0.268108i −0.824250 0.566226i \(-0.808403\pi\)
−0.954529 + 0.298118i \(0.903641\pi\)
\(692\) −7.06613e6 + 3.09588e7i −0.560940 + 2.45764i
\(693\) −1.85809e6 1.26683e6i −0.146972 0.100204i
\(694\) −3.53404e6 6.12114e6i −0.278530 0.482429i
\(695\) −6.40427e6 + 1.10925e7i −0.502930 + 0.871101i
\(696\) −6.66996e6 + 3.21208e6i −0.521915 + 0.251341i
\(697\) 2.13508e6 + 658586.i 0.166469 + 0.0513488i
\(698\) 1.69137e6 + 2.25698e7i 0.131402 + 1.75343i
\(699\) −244840. 1.07271e6i −0.0189535 0.0830406i
\(700\) −2.93594e6 + 7.48066e6i −0.226466 + 0.577025i
\(701\) −1.80965e6 + 2.41481e7i −0.139091 + 1.85604i 0.295409 + 0.955371i \(0.404544\pi\)
−0.434500 + 0.900672i \(0.643075\pi\)
\(702\) −2.57656e6 + 388354.i −0.197332 + 0.0297430i
\(703\) −1.91597e7 1.77776e7i −1.46218 1.35670i
\(704\) −412727. 198759.i −0.0313856 0.0151145i
\(705\) 1.38626e6 945139.i 0.105044 0.0716181i
\(706\) −1.25737e7 3.20374e7i −0.949408 2.41905i
\(707\) −5.01345e6 + 1.54645e6i −0.377215 + 0.116355i
\(708\) 3.23415e6 3.00086e6i 0.242481 0.224989i
\(709\) 7.01541e6 8.79705e6i 0.524128 0.657236i −0.447351 0.894358i \(-0.647633\pi\)
0.971480 + 0.237122i \(0.0762041\pi\)
\(710\) 1.90265e7 2.38585e7i 1.41649 1.77622i
\(711\) −1.15531e7 + 1.07197e7i −0.857083 + 0.795257i
\(712\) 3.96126e7 1.22189e7i 2.92842 0.903297i
\(713\) 7.70544e6 + 1.96331e7i 0.567641 + 1.44633i
\(714\) −765157. + 521675.i −0.0561700 + 0.0382961i
\(715\) 1.27500e6 + 614006.i 0.0932704 + 0.0449166i
\(716\) −1.70621e7 1.58313e7i −1.24380 1.15408i
\(717\) −2.49222e6 + 375642.i −0.181046 + 0.0272883i
\(718\) −2.81511e6 + 3.75650e7i −0.203791 + 2.71940i
\(719\) −5.67471e6 + 1.44589e7i −0.409375 + 1.04307i 0.566368 + 0.824153i \(0.308348\pi\)
−0.975743 + 0.218919i \(0.929747\pi\)
\(720\) 5.97733e6 + 2.61884e7i 0.429711 + 1.88269i
\(721\) 245481. + 3.27572e6i 0.0175865 + 0.234676i
\(722\) 3.91364e6 + 1.20720e6i 0.279407 + 0.0861857i
\(723\) 3.10605e6 1.49580e6i 0.220985 0.106421i
\(724\) −5.86094e6 + 1.01515e7i −0.415548 + 0.719750i
\(725\) 4.58238e6 + 7.93692e6i 0.323777 + 0.560799i
\(726\) 2.87253e6 + 1.95846e6i 0.202266 + 0.137903i
\(727\) −750726. + 3.28915e6i −0.0526800 + 0.230806i −0.994414 0.105553i \(-0.966339\pi\)
0.941734 + 0.336360i \(0.109196\pi\)
\(728\) 9.59210e6 + 1.44578e6i 0.670788 + 0.101105i
\(729\) −7.85264e6 9.84690e6i −0.547264 0.686247i
\(730\) 3.86852e6 0.268681
\(731\) 1.01076e6 4.66790e6i 0.0699605 0.323093i
\(732\) 3.34680e6 0.230862
\(733\) −3.98214e6 4.99344e6i −0.273751 0.343273i 0.625883 0.779917i \(-0.284739\pi\)
−0.899635 + 0.436643i \(0.856167\pi\)
\(734\) −1.38389e7 2.08588e6i −0.948118 0.142906i
\(735\) −199558. + 874322.i −0.0136255 + 0.0596971i
\(736\) −9.40250e6 6.41052e6i −0.639807 0.436213i
\(737\) −2.40649e6 4.16817e6i −0.163198 0.282668i
\(738\) −6.84695e6 + 1.18593e7i −0.462761 + 0.801525i
\(739\) 2.47560e6 1.19218e6i 0.166751 0.0803031i −0.348646 0.937254i \(-0.613359\pi\)
0.515397 + 0.856951i \(0.327644\pi\)
\(740\) 6.78333e7 + 2.09238e7i 4.55369 + 1.40463i
\(741\) −67719.7 903656.i −0.00453074 0.0604585i
\(742\) 2.39240e6 + 1.04818e7i 0.159523 + 0.698918i
\(743\) 7.91587e6 2.01693e7i 0.526050 1.34035i −0.383032 0.923735i \(-0.625120\pi\)
0.909082 0.416618i \(-0.136785\pi\)
\(744\) 612196. 8.16918e6i 0.0405469 0.541061i
\(745\) −9.21485e6 + 1.38891e6i −0.608271 + 0.0916822i
\(746\) −3.05029e6 2.83026e6i −0.200675 0.186200i
\(747\) −3.36201e6 1.61906e6i −0.220444 0.106160i
\(748\) 2.11319e6 1.44075e6i 0.138097 0.0941532i
\(749\) 1.44470e6 + 3.68103e6i 0.0940962 + 0.239753i
\(750\) 2.86695e6 884337.i 0.186109 0.0574069i
\(751\) −2.84077e6 + 2.63585e6i −0.183796 + 0.170538i −0.766705 0.642000i \(-0.778105\pi\)
0.582909 + 0.812538i \(0.301914\pi\)
\(752\) −1.24596e7 + 1.56238e7i −0.803448 + 1.00749i
\(753\) 1.95310e6 2.44911e6i 0.125527 0.157406i
\(754\) 1.47757e7 1.37099e7i 0.946501