Properties

Label 43.6.c.a.6.2
Level $43$
Weight $6$
Character 43.6
Analytic conductor $6.897$
Analytic rank $0$
Dimension $34$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 43.c (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.89650425196\)
Analytic rank: \(0\)
Dimension: \(34\)
Relative dimension: \(17\) over \(\Q(\zeta_{3})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 6.2
Character \(\chi\) \(=\) 43.6
Dual form 43.6.c.a.36.2

$q$-expansion

\(f(q)\) \(=\) \(q-9.23558 q^{2} +(-13.7527 + 23.8204i) q^{3} +53.2959 q^{4} +(45.8176 - 79.3585i) q^{5} +(127.015 - 219.996i) q^{6} +(101.216 + 175.312i) q^{7} -196.680 q^{8} +(-256.776 - 444.749i) q^{9} +O(q^{10})\) \(q-9.23558 q^{2} +(-13.7527 + 23.8204i) q^{3} +53.2959 q^{4} +(45.8176 - 79.3585i) q^{5} +(127.015 - 219.996i) q^{6} +(101.216 + 175.312i) q^{7} -196.680 q^{8} +(-256.776 - 444.749i) q^{9} +(-423.152 + 732.921i) q^{10} +347.169 q^{11} +(-732.965 + 1269.53i) q^{12} +(76.3181 + 132.187i) q^{13} +(-934.793 - 1619.11i) q^{14} +(1260.24 + 2182.79i) q^{15} +110.984 q^{16} +(402.815 + 697.696i) q^{17} +(2371.47 + 4107.51i) q^{18} +(243.857 - 422.373i) q^{19} +(2441.89 - 4229.48i) q^{20} -5568.02 q^{21} -3206.31 q^{22} +(-423.851 + 734.131i) q^{23} +(2704.89 - 4685.00i) q^{24} +(-2636.01 - 4565.71i) q^{25} +(-704.841 - 1220.82i) q^{26} +7441.65 q^{27} +(5394.42 + 9343.42i) q^{28} +(2694.73 + 4667.41i) q^{29} +(-11639.0 - 20159.4i) q^{30} +(-3286.24 + 5691.93i) q^{31} +5268.75 q^{32} +(-4774.53 + 8269.72i) q^{33} +(-3720.23 - 6443.63i) q^{34} +18550.0 q^{35} +(-13685.1 - 23703.3i) q^{36} +(475.250 - 823.157i) q^{37} +(-2252.16 + 3900.86i) q^{38} -4198.33 q^{39} +(-9011.41 + 15608.2i) q^{40} +1744.19 q^{41} +51423.8 q^{42} +(9971.46 + 6897.72i) q^{43} +18502.7 q^{44} -47059.4 q^{45} +(3914.51 - 6780.12i) q^{46} -17088.8 q^{47} +(-1526.34 + 2643.70i) q^{48} +(-12086.1 + 20933.7i) q^{49} +(24345.1 + 42166.9i) q^{50} -22159.2 q^{51} +(4067.44 + 7045.01i) q^{52} +(-4576.75 + 7927.17i) q^{53} -68727.9 q^{54} +(15906.5 - 27550.8i) q^{55} +(-19907.3 - 34480.4i) q^{56} +(6707.41 + 11617.6i) q^{57} +(-24887.4 - 43106.3i) q^{58} +25046.0 q^{59} +(67165.4 + 116334. i) q^{60} +(14625.9 + 25332.7i) q^{61} +(30350.3 - 52568.3i) q^{62} +(51979.9 - 90031.8i) q^{63} -52211.5 q^{64} +13986.9 q^{65} +(44095.5 - 76375.7i) q^{66} +(-32809.4 + 56827.6i) q^{67} +(21468.4 + 37184.3i) q^{68} +(-11658.2 - 20192.6i) q^{69} -171320. q^{70} +(-22456.3 - 38895.5i) q^{71} +(50502.6 + 87473.2i) q^{72} +(-21527.7 - 37287.0i) q^{73} +(-4389.21 + 7602.33i) q^{74} +145010. q^{75} +(12996.6 - 22510.8i) q^{76} +(35139.2 + 60862.9i) q^{77} +38774.0 q^{78} +(29093.3 + 50391.1i) q^{79} +(5085.04 - 8807.55i) q^{80} +(-39946.6 + 69189.5i) q^{81} -16108.6 q^{82} +(14985.1 - 25955.0i) q^{83} -296752. q^{84} +73824.1 q^{85} +(-92092.2 - 63704.4i) q^{86} -148240. q^{87} -68281.2 q^{88} +(25478.4 - 44129.9i) q^{89} +434621. q^{90} +(-15449.3 + 26759.0i) q^{91} +(-22589.5 + 39126.2i) q^{92} +(-90389.6 - 156559. i) q^{93} +157825. q^{94} +(-22345.9 - 38704.3i) q^{95} +(-72459.8 + 125504. i) q^{96} +64261.3 q^{97} +(111622. - 193334. i) q^{98} +(-89144.6 - 154403. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 34q - 14q^{2} - 14q^{3} + 454q^{4} + 71q^{5} + 15q^{6} + 225q^{7} - 936q^{8} - 1011q^{9} + O(q^{10}) \) \( 34q - 14q^{2} - 14q^{3} + 454q^{4} + 71q^{5} + 15q^{6} + 225q^{7} - 936q^{8} - 1011q^{9} - 317q^{10} + 1326q^{11} - 648q^{12} + 1006q^{13} - 1272q^{14} + 683q^{15} + 3574q^{16} + 200q^{17} + 1861q^{18} + 3361q^{19} + 3825q^{20} - 1320q^{21} - 8768q^{22} + 560q^{23} - 7382q^{24} - 3232q^{25} - 3201q^{26} - 122q^{27} + 13934q^{28} + 8887q^{29} - 19449q^{30} - 6749q^{31} - 19086q^{32} + 7106q^{33} + 8423q^{34} + 31118q^{35} - 14112q^{36} - 4514q^{37} + 7072q^{38} - 5404q^{39} - 18519q^{40} - 28996q^{41} + 58118q^{42} - 14998q^{43} + 71050q^{44} - 92096q^{45} + 20052q^{46} - 10742q^{47} + 32927q^{48} + 7472q^{49} + 20362q^{50} + 20250q^{51} + 59532q^{52} - 50572q^{53} - 230084q^{54} + 38544q^{55} - 40355q^{56} - 18087q^{57} - 33436q^{58} + 112654q^{59} + 134093q^{60} - 20120q^{61} - 31491q^{62} + 188227q^{63} + 125164q^{64} - 36578q^{65} + 8803q^{66} - 73824q^{67} - 128456q^{68} + 8005q^{69} - 141610q^{70} + 142842q^{71} + 98466q^{72} - 91624q^{73} - 99720q^{74} + 298358q^{75} + 258288q^{76} + 68051q^{77} - 201116q^{78} + 99734q^{79} - 31261q^{80} - 28441q^{81} - 147772q^{82} - 47340q^{83} - 624232q^{84} - 71734q^{85} - 115526q^{86} - 215924q^{87} - 720684q^{88} + 60402q^{89} + 676108q^{90} + 164172q^{91} + 78997q^{92} - 40793q^{93} - 341874q^{94} + 123541q^{95} - 442140q^{96} + 318476q^{97} + 217473q^{98} - 134770q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −9.23558 −1.63263 −0.816317 0.577603i \(-0.803988\pi\)
−0.816317 + 0.577603i \(0.803988\pi\)
\(3\) −13.7527 + 23.8204i −0.882239 + 1.52808i −0.0333926 + 0.999442i \(0.510631\pi\)
−0.848846 + 0.528640i \(0.822702\pi\)
\(4\) 53.2959 1.66550
\(5\) 45.8176 79.3585i 0.819611 1.41961i −0.0863585 0.996264i \(-0.527523\pi\)
0.905969 0.423343i \(-0.139144\pi\)
\(6\) 127.015 219.996i 1.44037 2.49480i
\(7\) 101.216 + 175.312i 0.780739 + 1.35228i 0.931512 + 0.363712i \(0.118491\pi\)
−0.150772 + 0.988569i \(0.548176\pi\)
\(8\) −196.680 −1.08651
\(9\) −256.776 444.749i −1.05669 1.83024i
\(10\) −423.152 + 732.921i −1.33813 + 2.31770i
\(11\) 347.169 0.865086 0.432543 0.901613i \(-0.357616\pi\)
0.432543 + 0.901613i \(0.357616\pi\)
\(12\) −732.965 + 1269.53i −1.46937 + 2.54502i
\(13\) 76.3181 + 132.187i 0.125247 + 0.216935i 0.921830 0.387595i \(-0.126694\pi\)
−0.796582 + 0.604530i \(0.793361\pi\)
\(14\) −934.793 1619.11i −1.27466 2.20778i
\(15\) 1260.24 + 2182.79i 1.44618 + 2.50487i
\(16\) 110.984 0.108383
\(17\) 402.815 + 697.696i 0.338052 + 0.585523i 0.984066 0.177802i \(-0.0568988\pi\)
−0.646014 + 0.763325i \(0.723565\pi\)
\(18\) 2371.47 + 4107.51i 1.72519 + 2.98812i
\(19\) 243.857 422.373i 0.154971 0.268418i −0.778077 0.628169i \(-0.783805\pi\)
0.933049 + 0.359750i \(0.117138\pi\)
\(20\) 2441.89 4229.48i 1.36506 2.36435i
\(21\) −5568.02 −2.75519
\(22\) −3206.31 −1.41237
\(23\) −423.851 + 734.131i −0.167068 + 0.289370i −0.937388 0.348288i \(-0.886763\pi\)
0.770320 + 0.637658i \(0.220097\pi\)
\(24\) 2704.89 4685.00i 0.958564 1.66028i
\(25\) −2636.01 4565.71i −0.843524 1.46103i
\(26\) −704.841 1220.82i −0.204483 0.354176i
\(27\) 7441.65 1.96454
\(28\) 5394.42 + 9343.42i 1.30032 + 2.25222i
\(29\) 2694.73 + 4667.41i 0.595005 + 1.03058i 0.993546 + 0.113428i \(0.0361833\pi\)
−0.398541 + 0.917150i \(0.630483\pi\)
\(30\) −11639.0 20159.4i −2.36109 4.08953i
\(31\) −3286.24 + 5691.93i −0.614179 + 1.06379i 0.376349 + 0.926478i \(0.377179\pi\)
−0.990528 + 0.137311i \(0.956154\pi\)
\(32\) 5268.75 0.909564
\(33\) −4774.53 + 8269.72i −0.763213 + 1.32192i
\(34\) −3720.23 6443.63i −0.551915 0.955945i
\(35\) 18550.0 2.55961
\(36\) −13685.1 23703.3i −1.75991 3.04826i
\(37\) 475.250 823.157i 0.0570713 0.0988504i −0.836078 0.548610i \(-0.815157\pi\)
0.893150 + 0.449760i \(0.148490\pi\)
\(38\) −2252.16 + 3900.86i −0.253012 + 0.438229i
\(39\) −4198.33 −0.441993
\(40\) −9011.41 + 15608.2i −0.890518 + 1.54242i
\(41\) 1744.19 0.162045 0.0810223 0.996712i \(-0.474181\pi\)
0.0810223 + 0.996712i \(0.474181\pi\)
\(42\) 51423.8 4.49823
\(43\) 9971.46 + 6897.72i 0.822408 + 0.568898i
\(44\) 18502.7 1.44080
\(45\) −47059.4 −3.46430
\(46\) 3914.51 6780.12i 0.272761 0.472436i
\(47\) −17088.8 −1.12841 −0.564205 0.825635i \(-0.690817\pi\)
−0.564205 + 0.825635i \(0.690817\pi\)
\(48\) −1526.34 + 2643.70i −0.0956198 + 0.165618i
\(49\) −12086.1 + 20933.7i −0.719108 + 1.24553i
\(50\) 24345.1 + 42166.9i 1.37717 + 2.38532i
\(51\) −22159.2 −1.19297
\(52\) 4067.44 + 7045.01i 0.208599 + 0.361305i
\(53\) −4576.75 + 7927.17i −0.223804 + 0.387640i −0.955960 0.293497i \(-0.905181\pi\)
0.732156 + 0.681137i \(0.238514\pi\)
\(54\) −68727.9 −3.20737
\(55\) 15906.5 27550.8i 0.709034 1.22808i
\(56\) −19907.3 34480.4i −0.848284 1.46927i
\(57\) 6707.41 + 11617.6i 0.273444 + 0.473618i
\(58\) −24887.4 43106.3i −0.971426 1.68256i
\(59\) 25046.0 0.936718 0.468359 0.883538i \(-0.344845\pi\)
0.468359 + 0.883538i \(0.344845\pi\)
\(60\) 67165.4 + 116334.i 2.40862 + 4.17185i
\(61\) 14625.9 + 25332.7i 0.503265 + 0.871681i 0.999993 + 0.00377430i \(0.00120140\pi\)
−0.496728 + 0.867906i \(0.665465\pi\)
\(62\) 30350.3 52568.3i 1.00273 1.73678i
\(63\) 51979.9 90031.8i 1.65000 2.85788i
\(64\) −52211.5 −1.59337
\(65\) 13986.9 0.410617
\(66\) 44095.5 76375.7i 1.24605 2.15822i
\(67\) −32809.4 + 56827.6i −0.892919 + 1.54658i −0.0565589 + 0.998399i \(0.518013\pi\)
−0.836360 + 0.548181i \(0.815320\pi\)
\(68\) 21468.4 + 37184.3i 0.563024 + 0.975187i
\(69\) −11658.2 20192.6i −0.294788 0.510587i
\(70\) −171320. −4.17891
\(71\) −22456.3 38895.5i −0.528680 0.915700i −0.999441 0.0334395i \(-0.989354\pi\)
0.470761 0.882261i \(-0.343979\pi\)
\(72\) 50502.6 + 87473.2i 1.14811 + 1.98858i
\(73\) −21527.7 37287.0i −0.472813 0.818937i 0.526703 0.850050i \(-0.323428\pi\)
−0.999516 + 0.0311130i \(0.990095\pi\)
\(74\) −4389.21 + 7602.33i −0.0931766 + 0.161387i
\(75\) 145010. 2.97676
\(76\) 12996.6 22510.8i 0.258105 0.447050i
\(77\) 35139.2 + 60862.9i 0.675407 + 1.16984i
\(78\) 38774.0 0.721613
\(79\) 29093.3 + 50391.1i 0.524475 + 0.908418i 0.999594 + 0.0284961i \(0.00907183\pi\)
−0.475119 + 0.879922i \(0.657595\pi\)
\(80\) 5085.04 8807.55i 0.0888320 0.153861i
\(81\) −39946.6 + 69189.5i −0.676499 + 1.17173i
\(82\) −16108.6 −0.264560
\(83\) 14985.1 25955.0i 0.238762 0.413548i −0.721597 0.692313i \(-0.756592\pi\)
0.960359 + 0.278765i \(0.0899250\pi\)
\(84\) −296752. −4.58877
\(85\) 73824.1 1.10828
\(86\) −92092.2 63704.4i −1.34269 0.928802i
\(87\) −148240. −2.09975
\(88\) −68281.2 −0.939928
\(89\) 25478.4 44129.9i 0.340956 0.590552i −0.643655 0.765316i \(-0.722583\pi\)
0.984610 + 0.174764i \(0.0559161\pi\)
\(90\) 434621. 5.65594
\(91\) −15449.3 + 26759.0i −0.195571 + 0.338739i
\(92\) −22589.5 + 39126.2i −0.278251 + 0.481945i
\(93\) −90389.6 156559.i −1.08370 1.87703i
\(94\) 157825. 1.84228
\(95\) −22345.9 38704.3i −0.254033 0.439997i
\(96\) −72459.8 + 125504.i −0.802452 + 1.38989i
\(97\) 64261.3 0.693458 0.346729 0.937965i \(-0.387292\pi\)
0.346729 + 0.937965i \(0.387292\pi\)
\(98\) 111622. 193334.i 1.17404 2.03350i
\(99\) −89144.6 154403.i −0.914128 1.58332i
\(100\) −140489. 243333.i −1.40489 2.43333i
\(101\) −58529.0 101375.i −0.570910 0.988846i −0.996473 0.0839166i \(-0.973257\pi\)
0.425563 0.904929i \(-0.360076\pi\)
\(102\) 204653. 1.94768
\(103\) 73244.1 + 126863.i 0.680267 + 1.17826i 0.974899 + 0.222647i \(0.0714697\pi\)
−0.294632 + 0.955611i \(0.595197\pi\)
\(104\) −15010.2 25998.5i −0.136083 0.235703i
\(105\) −255113. + 441869.i −2.25819 + 3.91129i
\(106\) 42269.0 73212.0i 0.365390 0.632874i
\(107\) −31253.7 −0.263901 −0.131951 0.991256i \(-0.542124\pi\)
−0.131951 + 0.991256i \(0.542124\pi\)
\(108\) 396609. 3.27193
\(109\) 27884.2 48296.9i 0.224798 0.389361i −0.731461 0.681883i \(-0.761161\pi\)
0.956259 + 0.292522i \(0.0944945\pi\)
\(110\) −146905. + 254448.i −1.15759 + 2.00501i
\(111\) 13072.0 + 22641.3i 0.100701 + 0.174419i
\(112\) 11233.4 + 19456.9i 0.0846190 + 0.146564i
\(113\) 247692. 1.82480 0.912400 0.409300i \(-0.134227\pi\)
0.912400 + 0.409300i \(0.134227\pi\)
\(114\) −61946.8 107295.i −0.446434 0.773246i
\(115\) 38839.7 + 67272.3i 0.273861 + 0.474342i
\(116\) 143618. + 248754.i 0.990979 + 1.71643i
\(117\) 39193.3 67884.7i 0.264696 0.458466i
\(118\) −231314. −1.52932
\(119\) −81543.0 + 141237.i −0.527861 + 0.914282i
\(120\) −247863. 429312.i −1.57130 2.72157i
\(121\) −40524.6 −0.251626
\(122\) −135078. 233962.i −0.821648 1.42314i
\(123\) −23987.4 + 41547.4i −0.142962 + 0.247618i
\(124\) −175143. + 303357.i −1.02291 + 1.77174i
\(125\) −196743. −1.12622
\(126\) −480064. + 831496.i −2.69385 + 4.66588i
\(127\) 186698. 1.02714 0.513571 0.858047i \(-0.328322\pi\)
0.513571 + 0.858047i \(0.328322\pi\)
\(128\) 313603. 1.69183
\(129\) −301442. + 142662.i −1.59488 + 0.754804i
\(130\) −129177. −0.670387
\(131\) 66197.8 0.337028 0.168514 0.985699i \(-0.446103\pi\)
0.168514 + 0.985699i \(0.446103\pi\)
\(132\) −254463. + 440742.i −1.27113 + 2.20166i
\(133\) 98729.5 0.483969
\(134\) 303014. 524836.i 1.45781 2.52500i
\(135\) 340959. 590558.i 1.61015 2.78887i
\(136\) −79225.6 137223.i −0.367298 0.636179i
\(137\) −108271. −0.492847 −0.246424 0.969162i \(-0.579255\pi\)
−0.246424 + 0.969162i \(0.579255\pi\)
\(138\) 107670. + 186491.i 0.481281 + 0.833603i
\(139\) −104370. + 180775.i −0.458184 + 0.793598i −0.998865 0.0476294i \(-0.984833\pi\)
0.540681 + 0.841228i \(0.318167\pi\)
\(140\) 988639. 4.26302
\(141\) 235018. 407063.i 0.995527 1.72430i
\(142\) 207397. + 359222.i 0.863141 + 1.49500i
\(143\) 26495.3 + 45891.2i 0.108350 + 0.187667i
\(144\) −28498.1 49360.1i −0.114527 0.198367i
\(145\) 493865. 1.95069
\(146\) 198820. + 344367.i 0.771931 + 1.33702i
\(147\) −332433. 575790.i −1.26885 2.19771i
\(148\) 25328.9 43870.9i 0.0950521 0.164635i
\(149\) −8200.14 + 14203.1i −0.0302591 + 0.0524103i −0.880758 0.473566i \(-0.842967\pi\)
0.850499 + 0.525976i \(0.176300\pi\)
\(150\) −1.33925e6 −4.85996
\(151\) −168879. −0.602745 −0.301372 0.953506i \(-0.597445\pi\)
−0.301372 + 0.953506i \(0.597445\pi\)
\(152\) −47961.8 + 83072.4i −0.168379 + 0.291640i
\(153\) 206866. 358303.i 0.714432 1.23743i
\(154\) −324531. 562104.i −1.10269 1.90992i
\(155\) 301135. + 521582.i 1.00678 + 1.74379i
\(156\) −223754. −0.736137
\(157\) 97192.4 + 168342.i 0.314690 + 0.545059i 0.979372 0.202068i \(-0.0647661\pi\)
−0.664682 + 0.747127i \(0.731433\pi\)
\(158\) −268693. 465390.i −0.856277 1.48311i
\(159\) −125886. 218041.i −0.394897 0.683982i
\(160\) 241402. 418120.i 0.745488 1.29122i
\(161\) −171603. −0.521746
\(162\) 368930. 639005.i 1.10448 1.91301i
\(163\) −324963. 562853.i −0.958000 1.65930i −0.727348 0.686268i \(-0.759248\pi\)
−0.230652 0.973036i \(-0.574086\pi\)
\(164\) 92958.3 0.269885
\(165\) 437515. + 757798.i 1.25107 + 2.16692i
\(166\) −138396. + 239710.i −0.389811 + 0.675173i
\(167\) −174486. + 302218.i −0.484138 + 0.838551i −0.999834 0.0182202i \(-0.994200\pi\)
0.515696 + 0.856772i \(0.327533\pi\)
\(168\) 1.09512e6 2.99356
\(169\) 173998. 301373.i 0.468626 0.811684i
\(170\) −681808. −1.80942
\(171\) −250467. −0.655027
\(172\) 531438. + 367620.i 1.36972 + 0.947497i
\(173\) −185844. −0.472098 −0.236049 0.971741i \(-0.575853\pi\)
−0.236049 + 0.971741i \(0.575853\pi\)
\(174\) 1.36908e6 3.42812
\(175\) 533616. 924249.i 1.31714 2.28136i
\(176\) 38530.3 0.0937607
\(177\) −344451. + 596607.i −0.826409 + 1.43138i
\(178\) −235308. + 407566.i −0.556656 + 0.964156i
\(179\) −242542. 420095.i −0.565789 0.979975i −0.996976 0.0777127i \(-0.975238\pi\)
0.431187 0.902263i \(-0.358095\pi\)
\(180\) −2.50807e6 −5.76978
\(181\) 22231.3 + 38505.8i 0.0504393 + 0.0873635i 0.890143 0.455682i \(-0.150605\pi\)
−0.839703 + 0.543045i \(0.817271\pi\)
\(182\) 142683. 247134.i 0.319296 0.553038i
\(183\) −804583. −1.77600
\(184\) 83362.9 144389.i 0.181522 0.314405i
\(185\) −43549.7 75430.3i −0.0935525 0.162038i
\(186\) 834800. + 1.44592e6i 1.76929 + 3.06451i
\(187\) 139845. + 242218.i 0.292444 + 0.506528i
\(188\) −910763. −1.87936
\(189\) 753218. + 1.30461e6i 1.53379 + 2.65660i
\(190\) 206378. + 357456.i 0.414742 + 0.718355i
\(191\) 247387. 428488.i 0.490675 0.849875i −0.509267 0.860609i \(-0.670083\pi\)
0.999942 + 0.0107338i \(0.00341674\pi\)
\(192\) 718051. 1.24370e6i 1.40573 2.43480i
\(193\) −167788. −0.324241 −0.162121 0.986771i \(-0.551833\pi\)
−0.162121 + 0.986771i \(0.551833\pi\)
\(194\) −593490. −1.13216
\(195\) −192358. + 333173.i −0.362262 + 0.627456i
\(196\) −644137. + 1.11568e6i −1.19767 + 2.07443i
\(197\) 97017.3 + 168039.i 0.178108 + 0.308492i 0.941233 0.337759i \(-0.109669\pi\)
−0.763124 + 0.646252i \(0.776336\pi\)
\(198\) 823302. + 1.42600e6i 1.49244 + 2.58498i
\(199\) 991853. 1.77547 0.887737 0.460350i \(-0.152276\pi\)
0.887737 + 0.460350i \(0.152276\pi\)
\(200\) 518451. + 897983.i 0.916500 + 1.58742i
\(201\) −902440. 1.56307e6i −1.57553 2.72891i
\(202\) 540549. + 936259.i 0.932088 + 1.61442i
\(203\) −545503. + 944838.i −0.929088 + 1.60923i
\(204\) −1.18100e6 −1.98689
\(205\) 79914.8 138416.i 0.132814 0.230040i
\(206\) −676452. 1.17165e6i −1.11063 1.92366i
\(207\) 435338. 0.706157
\(208\) 8470.11 + 14670.7i 0.0135747 + 0.0235121i
\(209\) 84659.7 146635.i 0.134064 0.232205i
\(210\) 2.35612e6 4.08092e6i 3.68680 6.38572i
\(211\) −686656. −1.06178 −0.530888 0.847442i \(-0.678142\pi\)
−0.530888 + 0.847442i \(0.678142\pi\)
\(212\) −243922. + 422486.i −0.372745 + 0.645613i
\(213\) 1.23534e6 1.86569
\(214\) 288646. 0.430855
\(215\) 1.00426e6 475283.i 1.48167 0.701222i
\(216\) −1.46362e6 −2.13449
\(217\) −1.33049e6 −1.91806
\(218\) −257527. + 446050.i −0.367013 + 0.635685i
\(219\) 1.18426e6 1.66854
\(220\) 847750. 1.46835e6i 1.18089 2.04537i
\(221\) −61484.1 + 106494.i −0.0846803 + 0.146671i
\(222\) −120727. 209106.i −0.164408 0.284763i
\(223\) 624678. 0.841190 0.420595 0.907249i \(-0.361821\pi\)
0.420595 + 0.907249i \(0.361821\pi\)
\(224\) 533285. + 923676.i 0.710132 + 1.22998i
\(225\) −1.35373e6 + 2.34473e6i −1.78269 + 3.08770i
\(226\) −2.28758e6 −2.97923
\(227\) 134293. 232602.i 0.172977 0.299605i −0.766482 0.642266i \(-0.777995\pi\)
0.939459 + 0.342660i \(0.111328\pi\)
\(228\) 357478. + 619169.i 0.455420 + 0.788810i
\(229\) −172993. 299632.i −0.217991 0.377572i 0.736202 0.676761i \(-0.236617\pi\)
−0.954194 + 0.299189i \(0.903284\pi\)
\(230\) −358707. 621298.i −0.447116 0.774427i
\(231\) −1.93304e6 −2.38348
\(232\) −530000. 917987.i −0.646481 1.11974i
\(233\) 195925. + 339353.i 0.236429 + 0.409507i 0.959687 0.281071i \(-0.0906896\pi\)
−0.723258 + 0.690578i \(0.757356\pi\)
\(234\) −361972. + 626955.i −0.432151 + 0.748508i
\(235\) −782968. + 1.35614e6i −0.924857 + 1.60190i
\(236\) 1.33485e6 1.56010
\(237\) −1.60045e6 −1.85085
\(238\) 753097. 1.30440e6i 0.861804 1.49269i
\(239\) 118905. 205949.i 0.134650 0.233220i −0.790814 0.612057i \(-0.790342\pi\)
0.925464 + 0.378837i \(0.123676\pi\)
\(240\) 139866. + 242256.i 0.156742 + 0.271485i
\(241\) 76851.6 + 133111.i 0.0852335 + 0.147629i 0.905491 0.424366i \(-0.139503\pi\)
−0.820257 + 0.571995i \(0.806170\pi\)
\(242\) 374268. 0.410813
\(243\) −194589. 337038.i −0.211399 0.366154i
\(244\) 779498. + 1.35013e6i 0.838186 + 1.45178i
\(245\) 1.10751e6 + 1.91826e6i 1.17878 + 2.04170i
\(246\) 221538. 383715.i 0.233405 0.404269i
\(247\) 74442.9 0.0776391
\(248\) 646337. 1.11949e6i 0.667314 1.15582i
\(249\) 412173. + 713905.i 0.421290 + 0.729696i
\(250\) 1.81704e6 1.83871
\(251\) −265646. 460112.i −0.266145 0.460977i 0.701718 0.712455i \(-0.252417\pi\)
−0.967863 + 0.251478i \(0.919083\pi\)
\(252\) 2.77031e6 4.79833e6i 2.74807 4.75980i
\(253\) −147148. + 254868.i −0.144528 + 0.250330i
\(254\) −1.72426e6 −1.67695
\(255\) −1.01528e6 + 1.75852e6i −0.977771 + 1.69355i
\(256\) −1.22554e6 −1.16876
\(257\) −1.22108e6 −1.15322 −0.576609 0.817020i \(-0.695624\pi\)
−0.576609 + 0.817020i \(0.695624\pi\)
\(258\) 2.78399e6 1.31757e6i 2.60386 1.23232i
\(259\) 192413. 0.178231
\(260\) 745442. 0.683881
\(261\) 1.38388e6 2.39696e6i 1.25747 2.17801i
\(262\) −611375. −0.550243
\(263\) 549628. 951984.i 0.489982 0.848673i −0.509952 0.860203i \(-0.670337\pi\)
0.999934 + 0.0115298i \(0.00367013\pi\)
\(264\) 939054. 1.62649e6i 0.829241 1.43629i
\(265\) 419392. + 726408.i 0.366864 + 0.635428i
\(266\) −911824. −0.790145
\(267\) 700797. + 1.21382e6i 0.601608 + 1.04202i
\(268\) −1.74861e6 + 3.02868e6i −1.48715 + 2.57582i
\(269\) 1.55580e6 1.31091 0.655456 0.755233i \(-0.272476\pi\)
0.655456 + 0.755233i \(0.272476\pi\)
\(270\) −3.14895e6 + 5.45414e6i −2.62879 + 4.55320i
\(271\) −679050. 1.17615e6i −0.561666 0.972834i −0.997351 0.0727353i \(-0.976827\pi\)
0.435685 0.900099i \(-0.356506\pi\)
\(272\) 44706.1 + 77433.3i 0.0366391 + 0.0634608i
\(273\) −424940. 736018.i −0.345081 0.597698i
\(274\) 999949. 0.804639
\(275\) −915142. 1.58507e6i −0.729721 1.26391i
\(276\) −621335. 1.07618e6i −0.490968 0.850382i
\(277\) −368676. + 638565.i −0.288699 + 0.500041i −0.973499 0.228689i \(-0.926556\pi\)
0.684801 + 0.728731i \(0.259889\pi\)
\(278\) 963920. 1.66956e6i 0.748048 1.29566i
\(279\) 3.37531e6 2.59599
\(280\) −3.64841e6 −2.78105
\(281\) −252939. + 438104.i −0.191096 + 0.330987i −0.945614 0.325292i \(-0.894537\pi\)
0.754518 + 0.656279i \(0.227871\pi\)
\(282\) −2.17053e6 + 3.75946e6i −1.62533 + 2.81516i
\(283\) −848680. 1.46996e6i −0.629909 1.09103i −0.987570 0.157183i \(-0.949759\pi\)
0.357661 0.933852i \(-0.383574\pi\)
\(284\) −1.19683e6 2.07297e6i −0.880515 1.52510i
\(285\) 1.22927e6 0.896470
\(286\) −244699. 423831.i −0.176896 0.306392i
\(287\) 176541. + 305778.i 0.126515 + 0.219130i
\(288\) −1.35289e6 2.34327e6i −0.961127 1.66472i
\(289\) 385409. 667548.i 0.271442 0.470151i
\(290\) −4.56113e6 −3.18476
\(291\) −883769. + 1.53073e6i −0.611795 + 1.05966i
\(292\) −1.14734e6 1.98724e6i −0.787469 1.36394i
\(293\) −1.98407e6 −1.35017 −0.675085 0.737740i \(-0.735893\pi\)
−0.675085 + 0.737740i \(0.735893\pi\)
\(294\) 3.07021e6 + 5.31776e6i 2.07157 + 3.58806i
\(295\) 1.14755e6 1.98761e6i 0.767744 1.32977i
\(296\) −93472.2 + 161899.i −0.0620088 + 0.107402i
\(297\) 2.58351e6 1.69949
\(298\) 75733.1 131174.i 0.0494020 0.0855668i
\(299\) −129390. −0.0836994
\(300\) 7.72841e6 4.95778
\(301\) −199977. + 2.44628e6i −0.127222 + 1.55629i
\(302\) 1.55970e6 0.984063
\(303\) 3.21974e6 2.01472
\(304\) 27064.3 46876.8i 0.0167963 0.0290920i
\(305\) 2.68049e6 1.64993
\(306\) −1.91053e6 + 3.30913e6i −1.16641 + 2.02028i
\(307\) 789561. 1.36756e6i 0.478123 0.828134i −0.521562 0.853213i \(-0.674651\pi\)
0.999685 + 0.0250797i \(0.00798394\pi\)
\(308\) 1.87278e6 + 3.24375e6i 1.12489 + 1.94836i
\(309\) −4.02923e6 −2.40063
\(310\) −2.78116e6 4.81711e6i −1.64370 2.84697i
\(311\) 1.26308e6 2.18773e6i 0.740511 1.28260i −0.211752 0.977323i \(-0.567917\pi\)
0.952263 0.305279i \(-0.0987498\pi\)
\(312\) 825727. 0.480231
\(313\) 191140. 331064.i 0.110278 0.191008i −0.805604 0.592454i \(-0.798159\pi\)
0.915883 + 0.401446i \(0.131492\pi\)
\(314\) −897628. 1.55474e6i −0.513774 0.889883i
\(315\) −4.76319e6 8.25009e6i −2.70472 4.68470i
\(316\) 1.55055e6 + 2.68564e6i 0.873512 + 1.51297i
\(317\) −3.39213e6 −1.89594 −0.947968 0.318365i \(-0.896866\pi\)
−0.947968 + 0.318365i \(0.896866\pi\)
\(318\) 1.16263e6 + 2.01373e6i 0.644723 + 1.11669i
\(319\) 935528. + 1.62038e6i 0.514731 + 0.891540i
\(320\) −2.39221e6 + 4.14342e6i −1.30594 + 2.26196i
\(321\) 429824. 744477.i 0.232824 0.403263i
\(322\) 1.58485e6 0.851821
\(323\) 392917. 0.209554
\(324\) −2.12899e6 + 3.68752e6i −1.12671 + 1.95151i
\(325\) 402351. 696892.i 0.211298 0.365980i
\(326\) 3.00123e6 + 5.19828e6i 1.56406 + 2.70904i
\(327\) 766969. + 1.32843e6i 0.396651 + 0.687020i
\(328\) −343048. −0.176064
\(329\) −1.72967e6 2.99587e6i −0.880994 1.52593i
\(330\) −4.04070e6 6.99871e6i −2.04255 3.53780i
\(331\) 1.88917e6 + 3.27213e6i 0.947765 + 1.64158i 0.750119 + 0.661303i \(0.229996\pi\)
0.197646 + 0.980274i \(0.436670\pi\)
\(332\) 798646. 1.38330e6i 0.397658 0.688763i
\(333\) −488131. −0.241227
\(334\) 1.61148e6 2.79116e6i 0.790420 1.36905i
\(335\) 3.00650e6 + 5.20741e6i 1.46369 + 2.53519i
\(336\) −617962. −0.298617
\(337\) 14662.1 + 25395.5i 0.00703269 + 0.0121810i 0.869520 0.493897i \(-0.164428\pi\)
−0.862488 + 0.506078i \(0.831095\pi\)
\(338\) −1.60697e6 + 2.78335e6i −0.765095 + 1.32518i
\(339\) −3.40644e6 + 5.90013e6i −1.60991 + 2.78844i
\(340\) 3.93452e6 1.84584
\(341\) −1.14088e6 + 1.97606e6i −0.531318 + 0.920269i
\(342\) 2.31320e6 1.06942
\(343\) −1.49094e6 −0.684266
\(344\) −1.96119e6 1.35664e6i −0.893558 0.618115i
\(345\) −2.13661e6 −0.966445
\(346\) 1.71637e6 0.770764
\(347\) 1.94984e6 3.37723e6i 0.869312 1.50569i 0.00661202 0.999978i \(-0.497895\pi\)
0.862700 0.505715i \(-0.168771\pi\)
\(348\) −7.90057e6 −3.49712
\(349\) 2.21991e6 3.84499e6i 0.975599 1.68979i 0.297653 0.954674i \(-0.403796\pi\)
0.677946 0.735112i \(-0.262871\pi\)
\(350\) −4.92825e6 + 8.53598e6i −2.15042 + 3.72463i
\(351\) 567932. + 983688.i 0.246053 + 0.426176i
\(352\) 1.82915e6 0.786851
\(353\) −430050. 744868.i −0.183689 0.318158i 0.759445 0.650571i \(-0.225470\pi\)
−0.943134 + 0.332413i \(0.892137\pi\)
\(354\) 3.18121e6 5.51001e6i 1.34922 2.33692i
\(355\) −4.11558e6 −1.73325
\(356\) 1.35790e6 2.35195e6i 0.567860 0.983563i
\(357\) −2.24288e6 3.88478e6i −0.931398 1.61323i
\(358\) 2.24002e6 + 3.87982e6i 0.923727 + 1.59994i
\(359\) −1.05032e6 1.81921e6i −0.430116 0.744983i 0.566767 0.823878i \(-0.308194\pi\)
−0.996883 + 0.0788951i \(0.974861\pi\)
\(360\) 9.25565e6 3.76401
\(361\) 1.11912e6 + 1.93837e6i 0.451968 + 0.782831i
\(362\) −205319. 355623.i −0.0823490 0.142633i
\(363\) 557324. 965314.i 0.221994 0.384505i
\(364\) −823384. + 1.42614e6i −0.325723 + 0.564169i
\(365\) −3.94539e6 −1.55009
\(366\) 7.43079e6 2.89956
\(367\) 131750. 228198.i 0.0510605 0.0884394i −0.839365 0.543567i \(-0.817073\pi\)
0.890426 + 0.455128i \(0.150407\pi\)
\(368\) −47040.8 + 81477.0i −0.0181074 + 0.0313629i
\(369\) −447866. 775727.i −0.171231 0.296581i
\(370\) 402206. + 696642.i 0.152737 + 0.264549i
\(371\) −1.85297e6 −0.698930
\(372\) −4.81739e6 8.34397e6i −1.80491 3.12619i
\(373\) 1.30613e6 + 2.26228e6i 0.486088 + 0.841928i 0.999872 0.0159908i \(-0.00509024\pi\)
−0.513784 + 0.857919i \(0.671757\pi\)
\(374\) −1.29155e6 2.23703e6i −0.477454 0.826975i
\(375\) 2.70576e6 4.68651e6i 0.993598 1.72096i
\(376\) 3.36102e6 1.22603
\(377\) −411313. + 712416.i −0.149046 + 0.258155i
\(378\) −6.95640e6 1.20488e7i −2.50412 4.33726i
\(379\) 1.09438e6 0.391355 0.195677 0.980668i \(-0.437309\pi\)
0.195677 + 0.980668i \(0.437309\pi\)
\(380\) −1.19095e6 2.06278e6i −0.423090 0.732814i
\(381\) −2.56761e6 + 4.44723e6i −0.906185 + 1.56956i
\(382\) −2.28477e6 + 3.95733e6i −0.801094 + 1.38754i
\(383\) 4.50623e6 1.56970 0.784849 0.619687i \(-0.212740\pi\)
0.784849 + 0.619687i \(0.212740\pi\)
\(384\) −4.31290e6 + 7.47017e6i −1.49259 + 2.58525i
\(385\) 6.43999e6 2.21428
\(386\) 1.54962e6 0.529368
\(387\) 507321. 6.20596e6i 0.172189 2.10635i
\(388\) 3.42486e6 1.15495
\(389\) 734765. 0.246192 0.123096 0.992395i \(-0.460718\pi\)
0.123096 + 0.992395i \(0.460718\pi\)
\(390\) 1.77653e6 3.07705e6i 0.591442 1.02441i
\(391\) −682933. −0.225911
\(392\) 2.37708e6 4.11723e6i 0.781321 1.35329i
\(393\) −910401. + 1.57686e6i −0.297339 + 0.515006i
\(394\) −896011. 1.55194e6i −0.290785 0.503655i
\(395\) 5.33194e6 1.71946
\(396\) −4.75104e6 8.22905e6i −1.52248 2.63701i
\(397\) −390667. + 676655.i −0.124403 + 0.215472i −0.921499 0.388380i \(-0.873035\pi\)
0.797097 + 0.603852i \(0.206368\pi\)
\(398\) −9.16033e6 −2.89870
\(399\) −1.35780e6 + 2.35178e6i −0.426977 + 0.739545i
\(400\) −292556. 506722.i −0.0914237 0.158351i
\(401\) −504694. 874156.i −0.156736 0.271474i 0.776954 0.629557i \(-0.216764\pi\)
−0.933690 + 0.358083i \(0.883430\pi\)
\(402\) 8.33455e6 + 1.44359e7i 2.57227 + 4.45531i
\(403\) −1.00320e6 −0.307697
\(404\) −3.11936e6 5.40289e6i −0.950849 1.64692i
\(405\) 3.66051e6 + 6.34020e6i 1.10893 + 1.92073i
\(406\) 5.03803e6 8.72613e6i 1.51686 2.62728i
\(407\) 164992. 285775.i 0.0493716 0.0855141i
\(408\) 4.35828e6 1.29618
\(409\) 5.85172e6 1.72972 0.864859 0.502015i \(-0.167408\pi\)
0.864859 + 0.502015i \(0.167408\pi\)
\(410\) −738059. + 1.27836e6i −0.216836 + 0.375571i
\(411\) 1.48903e6 2.57907e6i 0.434809 0.753111i
\(412\) 3.90361e6 + 6.76125e6i 1.13298 + 1.96238i
\(413\) 2.53507e6 + 4.39087e6i 0.731332 + 1.26670i
\(414\) −4.02060e6 −1.15290
\(415\) −1.37317e6 2.37840e6i −0.391384 0.677897i
\(416\) 402101. + 696460.i 0.113921 + 0.197316i
\(417\) −2.87076e6 4.97230e6i −0.808456 1.40029i
\(418\) −781881. + 1.35426e6i −0.218877 + 0.379106i
\(419\) −6.53392e6 −1.81819 −0.909094 0.416591i \(-0.863225\pi\)
−0.909094 + 0.416591i \(0.863225\pi\)
\(420\) −1.35965e7 + 2.35498e7i −3.76100 + 6.51425i
\(421\) −1.40920e6 2.44080e6i −0.387495 0.671162i 0.604617 0.796517i \(-0.293326\pi\)
−0.992112 + 0.125355i \(0.959993\pi\)
\(422\) 6.34167e6 1.73349
\(423\) 4.38799e6 + 7.60022e6i 1.19238 + 2.06526i
\(424\) 900155. 1.55912e6i 0.243166 0.421176i
\(425\) 2.12365e6 3.67827e6i 0.570309 0.987805i
\(426\) −1.14091e7 −3.04599
\(427\) −2.96076e6 + 5.12818e6i −0.785838 + 1.36111i
\(428\) −1.66569e6 −0.439527
\(429\) −1.45753e6 −0.382362
\(430\) −9.27493e6 + 4.38951e6i −2.41902 + 1.14484i
\(431\) −5.78451e6 −1.49994 −0.749970 0.661472i \(-0.769932\pi\)
−0.749970 + 0.661472i \(0.769932\pi\)
\(432\) 825906. 0.212922
\(433\) −45365.5 + 78575.4i −0.0116280 + 0.0201403i −0.871781 0.489896i \(-0.837035\pi\)
0.860153 + 0.510036i \(0.170368\pi\)
\(434\) 1.22878e7 3.13148
\(435\) −6.79200e6 + 1.17641e7i −1.72097 + 2.98081i
\(436\) 1.48611e6 2.57403e6i 0.374400 0.648480i
\(437\) 206718. + 358046.i 0.0517815 + 0.0896883i
\(438\) −1.09373e7 −2.72411
\(439\) −2.52784e6 4.37835e6i −0.626020 1.08430i −0.988343 0.152246i \(-0.951349\pi\)
0.362322 0.932053i \(-0.381984\pi\)
\(440\) −3.12848e6 + 5.41869e6i −0.770375 + 1.33433i
\(441\) 1.24136e7 3.03950
\(442\) 567841. 983530.i 0.138252 0.239459i
\(443\) 3.07968e6 + 5.33416e6i 0.745583 + 1.29139i 0.949922 + 0.312487i \(0.101162\pi\)
−0.204339 + 0.978900i \(0.565505\pi\)
\(444\) 696683. + 1.20669e6i 0.167717 + 0.290495i
\(445\) −2.33472e6 4.04386e6i −0.558902 0.968046i
\(446\) −5.76926e6 −1.37336
\(447\) −225549. 390662.i −0.0533915 0.0924767i
\(448\) −5.28466e6 9.15331e6i −1.24401 2.15468i
\(449\) 1.01066e6 1.75051e6i 0.236585 0.409778i −0.723147 0.690694i \(-0.757305\pi\)
0.959732 + 0.280916i \(0.0906384\pi\)
\(450\) 1.25025e7 2.16549e7i 2.91048 5.04109i
\(451\) 605530. 0.140183
\(452\) 1.32009e7 3.03920
\(453\) 2.32255e6 4.02278e6i 0.531765 0.921044i
\(454\) −1.24027e6 + 2.14822e6i −0.282409 + 0.489146i
\(455\) 1.41570e6 + 2.45206e6i 0.320585 + 0.555269i
\(456\) −1.31921e6 2.28494e6i −0.297100 0.514593i
\(457\) 1.21074e6 0.271181 0.135590 0.990765i \(-0.456707\pi\)
0.135590 + 0.990765i \(0.456707\pi\)
\(458\) 1.59769e6 + 2.76728e6i 0.355900 + 0.616437i
\(459\) 2.99761e6 + 5.19201e6i 0.664115 + 1.15028i
\(460\) 2.07000e6 + 3.58534e6i 0.456115 + 0.790015i
\(461\) 2.08491e6 3.61116e6i 0.456914 0.791398i −0.541882 0.840454i \(-0.682288\pi\)
0.998796 + 0.0490565i \(0.0156214\pi\)
\(462\) 1.78528e7 3.89135
\(463\) −3.57135e6 + 6.18577e6i −0.774248 + 1.34104i 0.160967 + 0.986960i \(0.448539\pi\)
−0.935216 + 0.354078i \(0.884795\pi\)
\(464\) 299073. + 518010.i 0.0644885 + 0.111697i
\(465\) −1.65657e7 −3.55287
\(466\) −1.80948e6 3.13412e6i −0.386002 0.668576i
\(467\) −699438. + 1.21146e6i −0.148408 + 0.257050i −0.930639 0.365938i \(-0.880748\pi\)
0.782231 + 0.622988i \(0.214082\pi\)
\(468\) 2.08884e6 3.61798e6i 0.440850 0.763574i
\(469\) −1.32834e7 −2.78855
\(470\) 7.23117e6 1.25247e7i 1.50995 2.61532i
\(471\) −5.34665e6 −1.11053
\(472\) −4.92605e6 −1.01776
\(473\) 3.46178e6 + 2.39467e6i 0.711454 + 0.492145i
\(474\) 1.47811e7 3.02176
\(475\) −2.57124e6 −0.522888
\(476\) −4.34591e6 + 7.52733e6i −0.879151 + 1.52273i
\(477\) 4.70080e6 0.945966
\(478\) −1.09816e6 + 1.90206e6i −0.219834 + 0.380763i
\(479\) −1.07764e6 + 1.86653e6i −0.214602 + 0.371702i −0.953149 0.302500i \(-0.902179\pi\)
0.738547 + 0.674202i \(0.235512\pi\)
\(480\) 6.63988e6 + 1.15006e7i 1.31540 + 2.27833i
\(481\) 145081. 0.0285922
\(482\) −709769. 1.22936e6i −0.139155 0.241024i
\(483\) 2.36001e6 4.08765e6i 0.460305 0.797271i
\(484\) −2.15980e6 −0.419082
\(485\) 2.94430e6 5.09968e6i 0.568366 0.984438i
\(486\) 1.79714e6 + 3.11274e6i 0.345137 + 0.597796i
\(487\) −1.92960e6 3.34217e6i −0.368676 0.638566i 0.620682 0.784062i \(-0.286856\pi\)
−0.989359 + 0.145496i \(0.953522\pi\)
\(488\) −2.87661e6 4.98244e6i −0.546804 0.947093i
\(489\) 1.78766e7 3.38074
\(490\) −1.02285e7 1.77163e7i −1.92451 3.33336i
\(491\) 3.68314e6 + 6.37938e6i 0.689468 + 1.19419i 0.972010 + 0.234939i \(0.0754891\pi\)
−0.282542 + 0.959255i \(0.591178\pi\)
\(492\) −1.27843e6 + 2.21431e6i −0.238103 + 0.412406i
\(493\) −2.17096e6 + 3.76021e6i −0.402285 + 0.696778i
\(494\) −687523. −0.126756
\(495\) −1.63376e7 −2.99692
\(496\) −364721. + 631715.i −0.0665666 + 0.115297i
\(497\) 4.54590e6 7.87373e6i 0.825522 1.42985i
\(498\) −3.80666e6 6.59333e6i −0.687814 1.19133i
\(499\) 141295. + 244730.i 0.0254024 + 0.0439983i 0.878447 0.477840i \(-0.158580\pi\)
−0.853045 + 0.521838i \(0.825247\pi\)
\(500\) −1.04856e7 −1.87572
\(501\) −4.79932e6 8.31266e6i −0.854250 1.47961i
\(502\) 2.45339e6 + 4.24940e6i 0.434518 + 0.752606i
\(503\) −909570. 1.57542e6i −0.160294 0.277637i 0.774680 0.632353i \(-0.217911\pi\)
−0.934974 + 0.354716i \(0.884577\pi\)
\(504\) −1.02234e7 + 1.77074e7i −1.79275 + 3.10513i
\(505\) −1.07266e7 −1.87170
\(506\) 1.35900e6 2.35385e6i 0.235962 0.408698i
\(507\) 4.78589e6 + 8.28940e6i 0.826880 + 1.43220i
\(508\) 9.95024e6 1.71070
\(509\) −3.86992e6 6.70290e6i −0.662076 1.14675i −0.980069 0.198656i \(-0.936342\pi\)
0.317993 0.948093i \(-0.396991\pi\)
\(510\) 9.37673e6 1.62410e7i 1.59634 2.76495i
\(511\) 4.35791e6 7.54812e6i 0.738288 1.27875i
\(512\) 1.28326e6 0.216341
\(513\) 1.81470e6 3.14315e6i 0.304447 0.527317i
\(514\) 1.12774e7 1.88278
\(515\) 1.34235e7 2.23022
\(516\) −1.60656e7 + 7.60330e6i −2.65627 + 1.25712i
\(517\) −5.93270e6 −0.976172
\(518\) −1.77704e6 −0.290987
\(519\) 2.55586e6 4.42688e6i 0.416503 0.721405i
\(520\) −2.75093e6 −0.446141
\(521\) 3.01404e6 5.22047e6i 0.486468 0.842588i −0.513411 0.858143i \(-0.671618\pi\)
0.999879 + 0.0155553i \(0.00495162\pi\)
\(522\) −1.27810e7 + 2.21373e7i −2.05299 + 3.55589i
\(523\) −832996. 1.44279e6i −0.133165 0.230648i 0.791730 0.610871i \(-0.209181\pi\)
−0.924895 + 0.380223i \(0.875847\pi\)
\(524\) 3.52807e6 0.561318
\(525\) 1.46774e7 + 2.54219e7i 2.32407 + 4.02541i
\(526\) −5.07614e6 + 8.79213e6i −0.799961 + 1.38557i
\(527\) −5.29499e6 −0.830497
\(528\) −529898. + 917810.i −0.0827194 + 0.143274i
\(529\) 2.85887e6 + 4.95171e6i 0.444177 + 0.769336i
\(530\) −3.87333e6 6.70880e6i −0.598955 1.03742i
\(531\) −6.43121e6 1.11392e7i −0.989820 1.71442i
\(532\) 5.26188e6 0.806049
\(533\) 133113. + 230559.i 0.0202957 + 0.0351531i
\(534\) −6.47226e6 1.12103e7i −0.982207 1.70123i
\(535\) −1.43197e6 + 2.48024e6i −0.216296 + 0.374637i
\(536\) 6.45296e6 1.11769e7i 0.970168 1.68038i
\(537\) 1.33425e7 1.99664
\(538\) −1.43687e7 −2.14024
\(539\) −4.19590e6 + 7.26752e6i −0.622091 + 1.07749i
\(540\) 1.81717e7 3.14743e7i 2.68171 4.64485i
\(541\) 2.57621e6 + 4.46212e6i 0.378432 + 0.655463i 0.990834 0.135083i \(-0.0431301\pi\)
−0.612402 + 0.790546i \(0.709797\pi\)
\(542\) 6.27142e6 + 1.08624e7i 0.916996 + 1.58828i
\(543\) −1.22297e6 −0.177998
\(544\) 2.12233e6 + 3.67599e6i 0.307480 + 0.532570i
\(545\) −2.55518e6 4.42570e6i −0.368494 0.638250i
\(546\) 3.92457e6 + 6.79755e6i 0.563391 + 0.975823i
\(547\) −4.54011e6 + 7.86371e6i −0.648781 + 1.12372i 0.334633 + 0.942349i \(0.391388\pi\)
−0.983414 + 0.181374i \(0.941946\pi\)
\(548\) −5.77042e6 −0.820835
\(549\) 7.51113e6 1.30097e7i 1.06359 1.84219i
\(550\) 8.45186e6 + 1.46391e7i 1.19137 + 2.06351i
\(551\) 2.62852e6 0.368835
\(552\) 2.29294e6 + 3.97148e6i 0.320291 + 0.554760i
\(553\) −5.88944e6 + 1.02008e7i −0.818957 + 1.41848i
\(554\) 3.40493e6 5.89752e6i 0.471340 0.816385i
\(555\) 2.39571e6 0.330143
\(556\) −5.56251e6 + 9.63455e6i −0.763104 + 1.32174i
\(557\) −7.26413e6 −0.992077 −0.496039 0.868301i \(-0.665213\pi\)
−0.496039 + 0.868301i \(0.665213\pi\)
\(558\) −3.11729e7 −4.23830
\(559\) −150784. + 1.84451e6i −0.0204092 + 0.249662i
\(560\) 2.05876e6 0.277419
\(561\) −7.69300e6 −1.03202
\(562\) 2.33604e6 4.04614e6i 0.311989 0.540381i
\(563\) −2.03394e6 −0.270437 −0.135219 0.990816i \(-0.543174\pi\)
−0.135219 + 0.990816i \(0.543174\pi\)
\(564\) 1.25255e7 2.16948e7i 1.65805 2.87182i
\(565\) 1.13486e7 1.96564e7i 1.49563 2.59050i
\(566\) 7.83805e6 + 1.35759e7i 1.02841 + 1.78126i
\(567\) −1.61730e7 −2.11268
\(568\) 4.41671e6 + 7.64996e6i 0.574418 + 0.994921i
\(569\) 1.86061e6 3.22266e6i 0.240921 0.417287i −0.720056 0.693916i \(-0.755884\pi\)
0.960977 + 0.276629i \(0.0892174\pi\)
\(570\) −1.13530e7 −1.46361
\(571\) −45318.4 + 78493.8i −0.00581680 + 0.0100750i −0.868919 0.494954i \(-0.835185\pi\)
0.863102 + 0.505029i \(0.168518\pi\)
\(572\) 1.41209e6 + 2.44581e6i 0.180456 + 0.312560i
\(573\) 6.80451e6 + 1.17858e7i 0.865786 + 1.49958i
\(574\) −1.63046e6 2.82404e6i −0.206552 0.357759i
\(575\) 4.46910e6 0.563703
\(576\) 1.34066e7 + 2.32210e7i 1.68370 + 2.91625i
\(577\) −7.12981e6 1.23492e7i −0.891535 1.54418i −0.838035 0.545616i \(-0.816296\pi\)
−0.0535001 0.998568i \(-0.517038\pi\)
\(578\) −3.55947e6 + 6.16519e6i −0.443166 + 0.767585i
\(579\) 2.30755e6 3.99679e6i 0.286058 0.495467i
\(580\) 2.63210e7 3.24887
\(581\) 6.06697e6 0.745644
\(582\) 8.16212e6 1.41372e7i 0.998838 1.73004i
\(583\) −1.58891e6 + 2.75207e6i −0.193610 + 0.335342i
\(584\) 4.23406e6 + 7.33361e6i 0.513718 + 0.889786i
\(585\) −3.59148e6 6.22063e6i −0.433895 0.751528i
\(586\) 1.83240e7 2.20433
\(587\) 2.94718e6 + 5.10466e6i 0.353030 + 0.611465i 0.986779 0.162073i \(-0.0518181\pi\)
−0.633749 + 0.773539i \(0.718485\pi\)
\(588\) −1.77173e7 3.06873e7i −2.11327 3.66028i
\(589\) 1.60275e6 + 2.77604e6i 0.190360 + 0.329714i
\(590\) −1.05983e7 + 1.83568e7i −1.25345 + 2.17103i
\(591\) −5.33702e6 −0.628535
\(592\) 52745.3 91357.6i 0.00618557 0.0107137i
\(593\) 1.52732e6 + 2.64540e6i 0.178358 + 0.308926i 0.941318 0.337520i \(-0.109588\pi\)
−0.762960 + 0.646446i \(0.776255\pi\)
\(594\) −2.38602e7 −2.77465
\(595\) 7.47222e6 + 1.29423e7i 0.865281 + 1.49871i
\(596\) −437034. + 756965.i −0.0503964 + 0.0872891i
\(597\) −1.36407e7 + 2.36264e7i −1.56639 + 2.71307i
\(598\) 1.19499e6 0.136651
\(599\) 5.87761e6 1.01803e7i 0.669320 1.15930i −0.308774 0.951135i \(-0.599919\pi\)
0.978095 0.208161i \(-0.0667479\pi\)
\(600\) −2.85205e7 −3.23429
\(601\) −1.39098e7 −1.57085 −0.785425 0.618957i \(-0.787556\pi\)
−0.785425 + 0.618957i \(0.787556\pi\)
\(602\) 1.84690e6 2.25928e7i 0.207708 2.54085i
\(603\) 3.36987e7 3.77415
\(604\) −9.00057e6 −1.00387
\(605\) −1.85674e6 + 3.21597e6i −0.206235 + 0.357210i
\(606\) −2.97361e7 −3.28930
\(607\) 1.73786e6 3.01006e6i 0.191444 0.331591i −0.754285 0.656547i \(-0.772016\pi\)
0.945729 + 0.324956i \(0.105349\pi\)
\(608\) 1.28482e6 2.22538e6i 0.140956 0.244144i
\(609\) −1.50043e7 2.59882e7i −1.63935 2.83944i
\(610\) −2.47559e7 −2.69373
\(611\) −1.30418e6 2.25891e6i −0.141330 0.244792i
\(612\) 1.10251e7 1.90961e7i 1.18988 2.06094i
\(613\) 1.29598e6 0.139299 0.0696493 0.997572i \(-0.477812\pi\)
0.0696493 + 0.997572i \(0.477812\pi\)
\(614\) −7.29205e6 + 1.26302e7i −0.780600 + 1.35204i
\(615\) 2.19809e6 + 3.80721e6i 0.234346 + 0.405900i
\(616\) −6.91118e6 1.19705e7i −0.733839 1.27105i
\(617\) −4.60498e6 7.97606e6i −0.486984 0.843481i 0.512904 0.858446i \(-0.328570\pi\)
−0.999888 + 0.0149647i \(0.995236\pi\)
\(618\) 3.72123e7 3.91936
\(619\) −4.10084e6 7.10287e6i −0.430176 0.745087i 0.566712 0.823916i \(-0.308215\pi\)
−0.996888 + 0.0788287i \(0.974882\pi\)
\(620\) 1.60493e7 + 2.77982e7i 1.67678 + 2.90427i
\(621\) −3.15415e6 + 5.46314e6i −0.328211 + 0.568478i
\(622\) −1.16653e7 + 2.02049e7i −1.20898 + 2.09402i
\(623\) 1.03153e7 1.06479
\(624\) −465949. −0.0479045
\(625\) −776766. + 1.34540e6i −0.0795408 + 0.137769i
\(626\) −1.76529e6 + 3.05757e6i −0.180045 + 0.311846i
\(627\) 2.32861e6 + 4.03326e6i 0.236552 + 0.409721i
\(628\) 5.17995e6 + 8.97195e6i 0.524115 + 0.907794i
\(629\) 765751. 0.0771723
\(630\) 4.39908e7 + 7.61943e7i 4.41581 + 7.64841i
\(631\) 4.47109e6 + 7.74415e6i 0.447033 + 0.774284i 0.998191 0.0601168i \(-0.0191473\pi\)
−0.551158 + 0.834401i \(0.685814\pi\)
\(632\) −5.72207e6 9.91091e6i −0.569850 0.987008i
\(633\) 9.44341e6 1.63565e7i 0.936741 1.62248i
\(634\) 3.13282e7 3.09537
\(635\) 8.55407e6 1.48161e7i 0.841857 1.45814i
\(636\) −6.70920e6 1.16207e7i −0.657700 1.13917i
\(637\) −3.68954e6 −0.360266
\(638\) −8.64014e6 1.49652e7i −0.840367 1.45556i
\(639\) −1.15325e7 + 1.99748e7i −1.11730 + 1.93522i
\(640\) 1.43686e7 2.48871e7i 1.38664 2.40173i
\(641\) −5.87305e6 −0.564571 −0.282285 0.959330i \(-0.591092\pi\)
−0.282285 + 0.959330i \(0.591092\pi\)
\(642\) −3.96967e6 + 6.87567e6i −0.380117 + 0.658382i
\(643\) −1.02881e7 −0.981316 −0.490658 0.871352i \(-0.663244\pi\)
−0.490658 + 0.871352i \(0.663244\pi\)
\(644\) −9.14572e6 −0.868967
\(645\) −2.48989e6 + 3.04584e7i −0.235658 + 2.88275i
\(646\) −3.62882e6 −0.342124
\(647\) −1.21099e7 −1.13731 −0.568657 0.822575i \(-0.692537\pi\)
−0.568657 + 0.822575i \(0.692537\pi\)
\(648\) 7.85669e6 1.36082e7i 0.735025 1.27310i
\(649\) 8.69520e6 0.810341
\(650\) −3.71594e6 + 6.43620e6i −0.344973 + 0.597511i
\(651\) 1.82978e7 3.16928e7i 1.69218 2.93095i
\(652\) −1.73192e7 2.99978e7i −1.59555 2.76357i
\(653\) 5.54353e6 0.508749 0.254374 0.967106i \(-0.418130\pi\)
0.254374 + 0.967106i \(0.418130\pi\)
\(654\) −7.08340e6 1.22688e7i −0.647586 1.12165i
\(655\) 3.03303e6 5.25336e6i 0.276231 0.478447i
\(656\) 193578. 0.0175629
\(657\) −1.10556e7 + 1.91488e7i −0.999234 + 1.73072i
\(658\) 1.59745e7 + 2.76686e7i 1.43834 + 2.49128i
\(659\) 9.04906e6 + 1.56734e7i 0.811690 + 1.40589i 0.911681 + 0.410899i \(0.134785\pi\)
−0.0999912 + 0.994988i \(0.531881\pi\)
\(660\) 2.33178e7 + 4.03875e7i 2.08366 + 3.60901i
\(661\) −5.39770e6 −0.480513 −0.240256 0.970709i \(-0.577232\pi\)
−0.240256 + 0.970709i \(0.577232\pi\)
\(662\) −1.74476e7 3.02201e7i −1.54735 2.68010i
\(663\) −1.69115e6 2.92916e6i −0.149416 0.258797i
\(664\) −2.94728e6 + 5.10483e6i −0.259418 + 0.449326i
\(665\) 4.52355e6 7.83502e6i 0.396667 0.687047i
\(666\) 4.50817e6 0.393835
\(667\) −4.56866e6 −0.397625
\(668\) −9.29938e6 + 1.61070e7i −0.806330 + 1.39660i
\(669\) −8.59103e6 + 1.48801e7i −0.742130 + 1.28541i
\(670\) −2.77668e7 4.80935e7i −2.38967 4.13904i
\(671\) 5.07765e6 + 8.79474e6i 0.435368 + 0.754079i
\(672\) −2.93365e7 −2.50602
\(673\) −2.68346e6 4.64789e6i −0.228380 0.395566i 0.728948 0.684569i \(-0.240009\pi\)
−0.957328 + 0.289003i \(0.906676\pi\)
\(674\) −135413. 234542.i −0.0114818 0.0198871i
\(675\) −1.96163e7 3.39764e7i −1.65713 2.87024i
\(676\) 9.27336e6 1.60619e7i 0.780495 1.35186i
\(677\) 4.06734e6 0.341066 0.170533 0.985352i \(-0.445451\pi\)
0.170533 + 0.985352i \(0.445451\pi\)
\(678\) 3.14604e7 5.44911e7i 2.62839 4.55251i
\(679\) 6.50430e6 + 1.12658e7i 0.541410 + 0.937749i
\(680\) −1.45197e7 −1.20417
\(681\) 3.69379e6 + 6.39784e6i 0.305214 + 0.528647i
\(682\) 1.05367e7 1.82501e7i 0.867448 1.50246i
\(683\) −2.54345e6 + 4.40538e6i −0.208627 + 0.361353i −0.951282 0.308321i \(-0.900233\pi\)
0.742655 + 0.669674i \(0.233566\pi\)
\(684\) −1.33488e7 −1.09095
\(685\) −4.96074e6 + 8.59225e6i −0.403943 + 0.699649i
\(686\) 1.37697e7 1.11716
\(687\) 9.51650e6 0.769281
\(688\) 1.10668e6 + 765538.i 0.0891352 + 0.0616589i
\(689\) −1.39716e6 −0.112124
\(690\) 1.97328e7 1.57785
\(691\) −930178. + 1.61112e6i −0.0741090 + 0.128361i −0.900698 0.434445i \(-0.856945\pi\)
0.826589 + 0.562805i \(0.190278\pi\)
\(692\) −9.90470e6 −0.786278
\(693\) 1.80458e7 3.12563e7i 1.42739 2.47232i
\(694\) −1.80079e7 + 3.11906e7i −1.41927 + 2.45825i
\(695\) 9.56401e6 + 1.65653e7i 0.751065 + 1.30088i
\(696\) 2.91558e7 2.28140
\(697\) 702587. + 1.21692e6i 0.0547795 + 0.0948808i
\(698\) −2.05021e7 + 3.55107e7i −1.59280 + 2.75880i
\(699\) −1.07780e7 −0.834348
\(700\) 2.84395e7 4.92587e7i 2.19370 3.79960i
\(701\) 7.18233e6 + 1.24402e7i 0.552040 + 0.956161i 0.998127 + 0.0611715i \(0.0194837\pi\)
−0.446088 + 0.894989i \(0.647183\pi\)
\(702\) −5.24518e6 9.08492e6i −0.401715 0.695790i
\(703\) −231786. 401466.i −0.0176889 0.0306380i
\(704\) −1.81262e7 −1.37840
\(705\) −2.15359e7 3.73013e7i −1.63189 2.82652i
\(706\) 3.97176e6 + 6.87929e6i 0.299896 + 0.519436i
\(707\) 1.18482e7 2.05217e7i 0.891464 1.54406i
\(708\) −1.83578e7 + 3.17967e7i −1.37638 + 2.38396i
\(709\) −2.47174e7 −1.84666 −0.923331 0.384005i \(-0.874544\pi\)
−0.923331 + 0.384005i \(0.874544\pi\)
\(710\) 3.80098e7 2.82976
\(711\) 1.49409e7 2.58784e7i 1.10842 1.91983i
\(712\) −5.01110e6 + 8.67948e6i −0.370453 + 0.641643i
\(713\) −2.78575e6 4.82506e6i −0.205219 0.355450i
\(714\) 2.07143e7 + 3.58782e7i 1.52063 + 2.63381i
\(715\) 4.85580e6 0.355219
\(716\) −1.29265e7 2.23894e7i −0.942320 1.63215i
\(717\) 3.27054e6 + 5.66473e6i 0.237586 + 0.411511i
\(718\) 9.70032e6 + 1.68014e7i 0.702223 + 1.21629i
\(719\) −5.30481e6 + 9.18820e6i −0.382691 + 0.662840i −0.991446 0.130519i \(-0.958336\pi\)
0.608755 + 0.793358i \(0.291669\pi\)
\(720\) −5.22286e6 −0.375472
\(721\) −1.48270e7 + 2.56812e7i −1.06222 + 1.83982i
\(722\) −1.03357e7 1.79019e7i −0.737898 1.27808i
\(723\) −4.22768e6 −0.300785
\(724\) 1.18484e6 + 2.05220e6i 0.0840065 + 0.145504i
\(725\) 1.42067e7 2.46067e7i 1.00380 1.73864i
\(726\) −5.14721e6 + 8.91523e6i −0.362435 + 0.627756i
\(727\) 4.45535e6 0.312641 0.156320 0.987706i \(-0.450037\pi\)
0.156320 + 0.987706i \(0.450037\pi\)
\(728\) 3.03857e6 5.26295e6i 0.212491 0.368045i
\(729\) −8.70949e6 −0.606980
\(730\) 3.64379e7 2.53073
\(731\) −795856. + 9.73555e6i −0.0550860 + 0.673856i
\(732\) −4.28810e7 −2.95792
\(733\) 1.47058e7 1.01095 0.505473 0.862843i \(-0.331318\pi\)
0.505473 + 0.862843i \(0.331318\pi\)
\(734\) −1.21679e6 + 2.10754e6i −0.0833632 + 0.144389i
\(735\) −6.09251e7 −4.15985
\(736\) −2.23317e6 + 3.86796e6i −0.151959 + 0.263201i
\(737\) −1.13904e7 + 1.97288e7i −0.772452 + 1.33793i
\(738\) 4.13630e6 + 7.16429e6i 0.279558 + 0.484208i
\(739\) 2.37725e7 1.60127 0.800634 0.599154i \(-0.204496\pi\)
0.800634 + 0.599154i \(0.204496\pi\)
\(740\) −2.32102e6 4.02012e6i −0.155811 0.269873i
\(741\) −1.02379e6 + 1.77326e6i −0.0684962 + 0.118639i
\(742\) 1.71133e7 1.14110
\(743\) 2.95731e6 5.12221e6i 0.196528 0.340397i −0.750872 0.660447i \(-0.770367\pi\)
0.947400 + 0.320051i \(0.103700\pi\)
\(744\) 1.77778e7 + 3.07921e7i 1.17746 + 2.03942i
\(745\) 751422. + 1.30150e6i 0.0496013 + 0.0859120i
\(746\) −1.20629e7 2.08935e7i −0.793604 1.37456i
\(747\) −1.53913e7 −1.00919
\(748\) 7.45316e6 + 1.29093e7i 0.487065 + 0.843620i
\(749\) −3.16339e6 5.47915e6i −0.206038 0.356869i
\(750\) −2.49892e7 + 4.32826e7i −1.62218 + 2.80970i
\(751\) 5.04468e6 8.73765e6i 0.326388 0.565320i −0.655404 0.755278i \(-0.727502\pi\)
0.981792 + 0.189958i \(0.0608351\pi\)
\(752\) −1.89659e6 −0.122301
\(753\) 1.46134e7 0.939214
\(754\) 3.79872e6 6.57957e6i 0.243337 0.421472i
\(755\) −7.73764e6 + 1.34020e7i −0.494016 + 0.855661i
\(756\) 4.01434e7 + 6.95304e7i 2.55452 + 4.42456i
\(757\) 6.50284e6 + 1.12633e7i 0.412443 + 0.714372i 0.995156 0.0983059i \(-0.0313424\pi\)
−0.582714 + 0.812678i \(0.698009\pi\)
\(758\) −1.01072e7 −0.638939
\(759\) −4.04737e6 7.01026e6i −0.255017 0.441702i
\(760\) 4.39500e6 + 7.61236e6i 0.276010 + 0.478063i
\(761\) 1.33010e7 + 2.30379e7i 0.832571 + 1.44206i 0.895993 + 0.444069i \(0.146465\pi\)
−0.0634215 + 0.997987i \(0.520201\pi\)
\(762\) 2.37134e7 4.10728e7i 1.47947 2.56252i
\(763\) 1.12894e7 0.702035
\(764\) 1.31847e7 2.28366e7i 0.817218 1.41546i
\(765\) −1.89562e7 3.28332e7i −1.17111 2.02843i
\(766\) −4.16176e7 −2.56274
\(767\) 1.91146e6 + 3.31075e6i 0.117321 + 0.203207i
\(768\) 1.68545e7 2.91929e7i 1.03113 1.78597i
\(769\) 1.51622e7 2.62617e7i 0.924583 1.60143i 0.132353 0.991203i \(-0.457747\pi\)
0.792230 0.610223i \(-0.208920\pi\)
\(770\) −5.94770e7 −3.61512
\(771\) 1.67932e7 2.90867e7i 1.01741 1.76221i
\(772\) −8.94243e6 −0.540023
\(773\) 60405.9