Properties

Label 21.6.e.c.4.4
Level $21$
Weight $6$
Character 21.4
Analytic conductor $3.368$
Analytic rank $0$
Dimension $8$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 21 = 3 \cdot 7 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 21.e (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.36806021607\)
Analytic rank: \(0\)
Dimension: \(8\)
Relative dimension: \(4\) over \(\Q(\zeta_{3})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{8} - \cdots)\)
Defining polynomial: \(x^{8} - x^{7} + 98 x^{6} + 83 x^{5} + 9122 x^{4} - 91 x^{3} + 28567 x^{2} + 2058 x + 86436\)
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 3\cdot 7^{2} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 4.4
Root \(5.09061 + 8.81720i\) of defining polynomial
Character \(\chi\) \(=\) 21.4
Dual form 21.6.e.c.16.4

$q$-expansion

\(f(q)\) \(=\) \(q+(4.59061 + 7.95118i) q^{2} +(-4.50000 + 7.79423i) q^{3} +(-26.1475 + 45.2888i) q^{4} +(-11.0358 - 19.1146i) q^{5} -82.6311 q^{6} +(126.882 + 26.6059i) q^{7} -186.333 q^{8} +(-40.5000 - 70.1481i) q^{9} +O(q^{10})\) \(q+(4.59061 + 7.95118i) q^{2} +(-4.50000 + 7.79423i) q^{3} +(-26.1475 + 45.2888i) q^{4} +(-11.0358 - 19.1146i) q^{5} -82.6311 q^{6} +(126.882 + 26.6059i) q^{7} -186.333 q^{8} +(-40.5000 - 70.1481i) q^{9} +(101.322 - 175.495i) q^{10} +(-208.355 + 360.881i) q^{11} +(-235.327 - 407.599i) q^{12} +797.918 q^{13} +(370.920 + 1131.00i) q^{14} +198.644 q^{15} +(-18.6623 - 32.3240i) q^{16} +(687.775 - 1191.26i) q^{17} +(371.840 - 644.045i) q^{18} +(-1156.51 - 2003.14i) q^{19} +1154.23 q^{20} +(-778.343 + 869.224i) q^{21} -3825.91 q^{22} +(477.701 + 827.402i) q^{23} +(838.497 - 1452.32i) q^{24} +(1318.92 - 2284.44i) q^{25} +(3662.93 + 6344.39i) q^{26} +729.000 q^{27} +(-4522.60 + 5050.67i) q^{28} -7035.29 q^{29} +(911.900 + 1579.46i) q^{30} +(-630.596 + 1092.22i) q^{31} +(-2809.98 + 4867.03i) q^{32} +(-1875.19 - 3247.93i) q^{33} +12629.2 q^{34} +(-891.689 - 2718.92i) q^{35} +4235.89 q^{36} +(-4888.22 - 8466.65i) q^{37} +(10618.2 - 18391.3i) q^{38} +(-3590.63 + 6219.16i) q^{39} +(2056.33 + 3561.67i) q^{40} -5400.95 q^{41} +(-10484.4 - 2198.47i) q^{42} +19686.6 q^{43} +(-10895.9 - 18872.3i) q^{44} +(-893.900 + 1548.28i) q^{45} +(-4385.88 + 7596.57i) q^{46} +(-1028.28 - 1781.04i) q^{47} +335.921 q^{48} +(15391.3 + 6751.63i) q^{49} +24218.7 q^{50} +(6189.98 + 10721.4i) q^{51} +(-20863.5 + 36136.7i) q^{52} +(-9011.37 + 15608.2i) q^{53} +(3346.56 + 5796.41i) q^{54} +9197.45 q^{55} +(-23642.3 - 4957.54i) q^{56} +20817.2 q^{57} +(-32296.3 - 55938.8i) q^{58} +(-3717.84 + 6439.49i) q^{59} +(-5194.05 + 8996.36i) q^{60} +(-1747.69 - 3027.09i) q^{61} -11579.3 q^{62} +(-3272.39 - 9978.09i) q^{63} -52792.5 q^{64} +(-8805.67 - 15251.9i) q^{65} +(17216.6 - 29820.0i) q^{66} +(-7928.21 + 13732.1i) q^{67} +(35967.2 + 62297.0i) q^{68} -8598.62 q^{69} +(17525.2 - 19571.5i) q^{70} +58133.5 q^{71} +(7546.48 + 13070.9i) q^{72} +(-19555.3 + 33870.8i) q^{73} +(44879.9 - 77734.2i) q^{74} +(11870.3 + 20560.0i) q^{75} +120960. q^{76} +(-36038.1 + 40246.0i) q^{77} -65932.8 q^{78} +(-4880.35 - 8453.01i) q^{79} +(-411.906 + 713.442i) q^{80} +(-3280.50 + 5681.99i) q^{81} +(-24793.7 - 42943.9i) q^{82} -70395.7 q^{83} +(-19014.4 - 57978.2i) q^{84} -30360.6 q^{85} +(90373.4 + 156531. i) q^{86} +(31658.8 - 54834.7i) q^{87} +(38823.3 - 67243.9i) q^{88} +(-72153.1 - 124973. i) q^{89} -16414.2 q^{90} +(101242. + 21229.3i) q^{91} -49962.7 q^{92} +(-5675.36 - 9830.01i) q^{93} +(9440.90 - 16352.1i) q^{94} +(-25526.1 + 44212.5i) q^{95} +(-25289.8 - 43803.3i) q^{96} -79328.7 q^{97} +(16971.9 + 153373. i) q^{98} +33753.5 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 8q - 3q^{2} - 36q^{3} - 69q^{4} + 54q^{6} + 258q^{7} + 246q^{8} - 324q^{9} + O(q^{10}) \) \( 8q - 3q^{2} - 36q^{3} - 69q^{4} + 54q^{6} + 258q^{7} + 246q^{8} - 324q^{9} - 283q^{10} - 402q^{11} - 621q^{12} + 924q^{13} + 1926q^{14} - 3273q^{16} - 276q^{17} - 243q^{18} - 510q^{19} + 9438q^{20} - 3564q^{21} + 2750q^{22} - 6900q^{23} - 1107q^{24} - 2814q^{25} + 15138q^{26} + 5832q^{27} - 26221q^{28} + 1080q^{29} - 2547q^{30} + 6410q^{31} - 15519q^{32} - 3618q^{33} + 42288q^{34} - 33108q^{35} + 11178q^{36} - 15250q^{37} + 41250q^{38} - 4158q^{39} + 8547q^{40} + 8616q^{41} - 16281q^{42} + 58396q^{43} - 70743q^{44} - 61800q^{46} + 15060q^{47} + 58914q^{48} - 64252q^{49} - 14604q^{50} - 2484q^{51} + 47476q^{52} - 13692q^{53} - 2187q^{54} + 146248q^{55} - 15921q^{56} + 9180q^{57} - 52309q^{58} - 34830q^{59} - 42471q^{60} + 5364q^{61} + 32058q^{62} + 11178q^{63} - 146974q^{64} - 66864q^{65} - 12375q^{66} + 5994q^{67} + 58272q^{68} + 124200q^{69} - 4307q^{70} + 178536q^{71} - 9963q^{72} - 59638q^{73} + 185442q^{74} - 25326q^{75} + 42616q^{76} - 75660q^{77} - 272484q^{78} + 44062q^{79} + 33381q^{80} - 26244q^{81} - 57596q^{82} - 416892q^{83} + 63036q^{84} + 72648q^{85} + 136968q^{86} - 4860q^{87} - 87597q^{88} + 77520q^{89} + 45846q^{90} + 104722q^{91} + 316512q^{92} + 57690q^{93} + 73722q^{94} + 221376q^{95} - 139671q^{96} - 377260q^{97} + 382479q^{98} + 65124q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/21\mathbb{Z}\right)^\times\).

\(n\) \(8\) \(10\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 4.59061 + 7.95118i 0.811514 + 1.40558i 0.911804 + 0.410625i \(0.134689\pi\)
−0.100291 + 0.994958i \(0.531977\pi\)
\(3\) −4.50000 + 7.79423i −0.288675 + 0.500000i
\(4\) −26.1475 + 45.2888i −0.817109 + 1.41527i
\(5\) −11.0358 19.1146i −0.197414 0.341932i 0.750275 0.661126i \(-0.229921\pi\)
−0.947689 + 0.319194i \(0.896588\pi\)
\(6\) −82.6311 −0.937055
\(7\) 126.882 + 26.6059i 0.978715 + 0.205226i
\(8\) −186.333 −1.02935
\(9\) −40.5000 70.1481i −0.166667 0.288675i
\(10\) 101.322 175.495i 0.320409 0.554965i
\(11\) −208.355 + 360.881i −0.519184 + 0.899254i 0.480567 + 0.876958i \(0.340431\pi\)
−0.999751 + 0.0222959i \(0.992902\pi\)
\(12\) −235.327 407.599i −0.471758 0.817109i
\(13\) 797.918 1.30948 0.654742 0.755853i \(-0.272777\pi\)
0.654742 + 0.755853i \(0.272777\pi\)
\(14\) 370.920 + 1131.00i 0.505778 + 1.54221i
\(15\) 198.644 0.227955
\(16\) −18.6623 32.3240i −0.0182249 0.0315664i
\(17\) 687.775 1191.26i 0.577197 0.999735i −0.418602 0.908170i \(-0.637480\pi\)
0.995799 0.0915652i \(-0.0291870\pi\)
\(18\) 371.840 644.045i 0.270505 0.468528i
\(19\) −1156.51 2003.14i −0.734965 1.27300i −0.954739 0.297446i \(-0.903865\pi\)
0.219774 0.975551i \(-0.429468\pi\)
\(20\) 1154.23 0.645236
\(21\) −778.343 + 869.224i −0.385144 + 0.430114i
\(22\) −3825.91 −1.68530
\(23\) 477.701 + 827.402i 0.188294 + 0.326135i 0.944682 0.327989i \(-0.106371\pi\)
−0.756388 + 0.654124i \(0.773038\pi\)
\(24\) 838.497 1452.32i 0.297149 0.514676i
\(25\) 1318.92 2284.44i 0.422055 0.731021i
\(26\) 3662.93 + 6344.39i 1.06266 + 1.84059i
\(27\) 729.000 0.192450
\(28\) −4522.60 + 5050.67i −1.09017 + 1.21746i
\(29\) −7035.29 −1.55341 −0.776707 0.629862i \(-0.783111\pi\)
−0.776707 + 0.629862i \(0.783111\pi\)
\(30\) 911.900 + 1579.46i 0.184988 + 0.320409i
\(31\) −630.596 + 1092.22i −0.117855 + 0.204130i −0.918917 0.394450i \(-0.870935\pi\)
0.801063 + 0.598581i \(0.204268\pi\)
\(32\) −2809.98 + 4867.03i −0.485097 + 0.840212i
\(33\) −1875.19 3247.93i −0.299751 0.519184i
\(34\) 12629.2 1.87361
\(35\) −891.689 2718.92i −0.123039 0.375168i
\(36\) 4235.89 0.544739
\(37\) −4888.22 8466.65i −0.587012 1.01673i −0.994621 0.103578i \(-0.966971\pi\)
0.407610 0.913156i \(-0.366362\pi\)
\(38\) 10618.2 18391.3i 1.19287 2.06611i
\(39\) −3590.63 + 6219.16i −0.378015 + 0.654742i
\(40\) 2056.33 + 3561.67i 0.203209 + 0.351968i
\(41\) −5400.95 −0.501777 −0.250888 0.968016i \(-0.580723\pi\)
−0.250888 + 0.968016i \(0.580723\pi\)
\(42\) −10484.4 2198.47i −0.917110 0.192308i
\(43\) 19686.6 1.62367 0.811837 0.583885i \(-0.198468\pi\)
0.811837 + 0.583885i \(0.198468\pi\)
\(44\) −10895.9 18872.3i −0.848460 1.46958i
\(45\) −893.900 + 1548.28i −0.0658048 + 0.113977i
\(46\) −4385.88 + 7596.57i −0.305606 + 0.529326i
\(47\) −1028.28 1781.04i −0.0678997 0.117606i 0.830077 0.557649i \(-0.188296\pi\)
−0.897977 + 0.440043i \(0.854963\pi\)
\(48\) 335.921 0.0210443
\(49\) 15391.3 + 6751.63i 0.915765 + 0.401715i
\(50\) 24218.7 1.37001
\(51\) 6189.98 + 10721.4i 0.333245 + 0.577197i
\(52\) −20863.5 + 36136.7i −1.06999 + 1.85328i
\(53\) −9011.37 + 15608.2i −0.440658 + 0.763241i −0.997738 0.0672170i \(-0.978588\pi\)
0.557081 + 0.830458i \(0.311921\pi\)
\(54\) 3346.56 + 5796.41i 0.156176 + 0.270505i
\(55\) 9197.45 0.409978
\(56\) −23642.3 4957.54i −1.00744 0.211250i
\(57\) 20817.2 0.848664
\(58\) −32296.3 55938.8i −1.26062 2.18345i
\(59\) −3717.84 + 6439.49i −0.139047 + 0.240836i −0.927136 0.374725i \(-0.877737\pi\)
0.788089 + 0.615561i \(0.211070\pi\)
\(60\) −5194.05 + 8996.36i −0.186264 + 0.322618i
\(61\) −1747.69 3027.09i −0.0601368 0.104160i 0.834390 0.551175i \(-0.185820\pi\)
−0.894526 + 0.447015i \(0.852487\pi\)
\(62\) −11579.3 −0.382563
\(63\) −3272.39 9978.09i −0.103875 0.316735i
\(64\) −52792.5 −1.61110
\(65\) −8805.67 15251.9i −0.258511 0.447754i
\(66\) 17216.6 29820.0i 0.486505 0.842651i
\(67\) −7928.21 + 13732.1i −0.215769 + 0.373722i −0.953510 0.301361i \(-0.902559\pi\)
0.737741 + 0.675083i \(0.235892\pi\)
\(68\) 35967.2 + 62297.0i 0.943266 + 1.63378i
\(69\) −8598.62 −0.217423
\(70\) 17525.2 19571.5i 0.427482 0.477396i
\(71\) 58133.5 1.36861 0.684306 0.729195i \(-0.260105\pi\)
0.684306 + 0.729195i \(0.260105\pi\)
\(72\) 7546.48 + 13070.9i 0.171559 + 0.297149i
\(73\) −19555.3 + 33870.8i −0.429495 + 0.743907i −0.996828 0.0795812i \(-0.974642\pi\)
0.567334 + 0.823488i \(0.307975\pi\)
\(74\) 44879.9 77734.2i 0.952736 1.65019i
\(75\) 11870.3 + 20560.0i 0.243674 + 0.422055i
\(76\) 120960. 2.40218
\(77\) −36038.1 + 40246.0i −0.692684 + 0.773563i
\(78\) −65932.8 −1.22706
\(79\) −4880.35 8453.01i −0.0879798 0.152385i 0.818677 0.574254i \(-0.194708\pi\)
−0.906657 + 0.421868i \(0.861374\pi\)
\(80\) −411.906 + 713.442i −0.00719570 + 0.0124633i
\(81\) −3280.50 + 5681.99i −0.0555556 + 0.0962250i
\(82\) −24793.7 42943.9i −0.407199 0.705289i
\(83\) −70395.7 −1.12163 −0.560816 0.827940i \(-0.689513\pi\)
−0.560816 + 0.827940i \(0.689513\pi\)
\(84\) −19014.4 57978.2i −0.294025 0.896533i
\(85\) −30360.6 −0.455788
\(86\) 90373.4 + 156531.i 1.31763 + 2.28221i
\(87\) 31658.8 54834.7i 0.448432 0.776707i
\(88\) 38823.3 67243.9i 0.534424 0.925649i
\(89\) −72153.1 124973.i −0.965562 1.67240i −0.708098 0.706115i \(-0.750446\pi\)
−0.257464 0.966288i \(-0.582887\pi\)
\(90\) −16414.2 −0.213606
\(91\) 101242. + 21229.3i 1.28161 + 0.268740i
\(92\) −49962.7 −0.615427
\(93\) −5675.36 9830.01i −0.0680434 0.117855i
\(94\) 9440.90 16352.1i 0.110203 0.190877i
\(95\) −25526.1 + 44212.5i −0.290185 + 0.502616i
\(96\) −25289.8 43803.3i −0.280071 0.485097i
\(97\) −79328.7 −0.856053 −0.428027 0.903766i \(-0.640791\pi\)
−0.428027 + 0.903766i \(0.640791\pi\)
\(98\) 16971.9 + 153373.i 0.178511 + 1.61318i
\(99\) 33753.5 0.346123
\(100\) 68973.0 + 119465.i 0.689730 + 1.19465i
\(101\) 42416.9 73468.2i 0.413747 0.716631i −0.581549 0.813512i \(-0.697553\pi\)
0.995296 + 0.0968802i \(0.0308864\pi\)
\(102\) −56831.6 + 98435.2i −0.540866 + 0.936807i
\(103\) −10166.1 17608.3i −0.0944197 0.163540i 0.814947 0.579536i \(-0.196766\pi\)
−0.909366 + 0.415996i \(0.863433\pi\)
\(104\) −148678. −1.34792
\(105\) 25204.5 + 5285.11i 0.223102 + 0.0467822i
\(106\) −165471. −1.43040
\(107\) −3481.09 6029.43i −0.0293938 0.0509116i 0.850954 0.525240i \(-0.176024\pi\)
−0.880348 + 0.474328i \(0.842691\pi\)
\(108\) −19061.5 + 33015.5i −0.157253 + 0.272370i
\(109\) −56325.7 + 97559.0i −0.454088 + 0.786504i −0.998635 0.0522262i \(-0.983368\pi\)
0.544547 + 0.838730i \(0.316702\pi\)
\(110\) 42221.9 + 73130.5i 0.332703 + 0.576258i
\(111\) 87988.0 0.677823
\(112\) −1507.90 4597.87i −0.0113587 0.0346347i
\(113\) 112005. 0.825167 0.412583 0.910920i \(-0.364627\pi\)
0.412583 + 0.910920i \(0.364627\pi\)
\(114\) 95563.9 + 165522.i 0.688703 + 1.19287i
\(115\) 10543.6 18262.1i 0.0743439 0.128767i
\(116\) 183955. 318620.i 1.26931 2.19851i
\(117\) −32315.7 55972.4i −0.218247 0.378015i
\(118\) −68268.7 −0.451353
\(119\) 118961. 132851.i 0.770083 0.860000i
\(120\) −37014.0 −0.234646
\(121\) −6297.91 10908.3i −0.0391051 0.0677320i
\(122\) 16046.0 27792.4i 0.0976037 0.169055i
\(123\) 24304.3 42096.2i 0.144850 0.250888i
\(124\) −32977.0 57117.8i −0.192600 0.333593i
\(125\) −127195. −0.728108
\(126\) 64315.3 71824.9i 0.360901 0.403040i
\(127\) 82224.5 0.452368 0.226184 0.974085i \(-0.427375\pi\)
0.226184 + 0.974085i \(0.427375\pi\)
\(128\) −152431. 264018.i −0.822333 1.42432i
\(129\) −88589.5 + 153442.i −0.468714 + 0.811837i
\(130\) 80846.8 140031.i 0.419570 0.726717i
\(131\) 87905.9 + 152258.i 0.447548 + 0.775176i 0.998226 0.0595417i \(-0.0189639\pi\)
−0.550677 + 0.834718i \(0.685631\pi\)
\(132\) 196126. 0.979718
\(133\) −93445.8 284933.i −0.458069 1.39673i
\(134\) −145581. −0.700397
\(135\) −8045.10 13934.5i −0.0379924 0.0658048i
\(136\) −128155. + 221971.i −0.594140 + 1.02908i
\(137\) −15665.2 + 27132.9i −0.0713072 + 0.123508i −0.899474 0.436973i \(-0.856050\pi\)
0.828167 + 0.560481i \(0.189384\pi\)
\(138\) −39472.9 68369.1i −0.176442 0.305606i
\(139\) 152234. 0.668305 0.334152 0.942519i \(-0.391550\pi\)
0.334152 + 0.942519i \(0.391550\pi\)
\(140\) 146452. + 30709.4i 0.631502 + 0.132419i
\(141\) 18509.1 0.0784038
\(142\) 266868. + 462229.i 1.11065 + 1.92370i
\(143\) −166250. + 287953.i −0.679863 + 1.17756i
\(144\) −1511.64 + 2618.24i −0.00607495 + 0.0105221i
\(145\) 77640.1 + 134477.i 0.306666 + 0.531162i
\(146\) −359084. −1.39416
\(147\) −121884. + 89580.6i −0.465216 + 0.341917i
\(148\) 511259. 1.91861
\(149\) −181430. 314246.i −0.669489 1.15959i −0.978047 0.208384i \(-0.933180\pi\)
0.308558 0.951206i \(-0.400154\pi\)
\(150\) −108984. + 188766.i −0.395489 + 0.685007i
\(151\) −102563. + 177644.i −0.366056 + 0.634027i −0.988945 0.148283i \(-0.952625\pi\)
0.622889 + 0.782310i \(0.285959\pi\)
\(152\) 215496. + 373250.i 0.756538 + 1.31036i
\(153\) −111420. −0.384798
\(154\) −485440. 101792.i −1.64943 0.345868i
\(155\) 27836.5 0.0930648
\(156\) −187772. 325231.i −0.617759 1.06999i
\(157\) 38636.0 66919.5i 0.125096 0.216672i −0.796675 0.604409i \(-0.793409\pi\)
0.921770 + 0.387736i \(0.126743\pi\)
\(158\) 44807.6 77609.0i 0.142794 0.247326i
\(159\) −81102.3 140473.i −0.254414 0.440658i
\(160\) 124042. 0.383060
\(161\) 38598.1 + 117692.i 0.117355 + 0.357836i
\(162\) −60238.0 −0.180336
\(163\) −92465.7 160155.i −0.272591 0.472141i 0.696934 0.717136i \(-0.254547\pi\)
−0.969525 + 0.244994i \(0.921214\pi\)
\(164\) 141221. 244602.i 0.410006 0.710152i
\(165\) −41388.5 + 71687.0i −0.118350 + 0.204989i
\(166\) −323159. 559728.i −0.910220 1.57655i
\(167\) 129262. 0.358657 0.179329 0.983789i \(-0.442607\pi\)
0.179329 + 0.983789i \(0.442607\pi\)
\(168\) 145031. 161965.i 0.396449 0.442739i
\(169\) 265380. 0.714746
\(170\) −139374. 241403.i −0.369878 0.640648i
\(171\) −93677.6 + 162254.i −0.244988 + 0.424332i
\(172\) −514754. + 891580.i −1.32672 + 2.29794i
\(173\) 253934. + 439826.i 0.645067 + 1.11729i 0.984286 + 0.176582i \(0.0565040\pi\)
−0.339219 + 0.940707i \(0.610163\pi\)
\(174\) 581334. 1.45563
\(175\) 228127. 254764.i 0.563096 0.628844i
\(176\) 15553.5 0.0378483
\(177\) −33460.6 57955.4i −0.0802786 0.139047i
\(178\) 662454. 1.14740e6i 1.56713 2.71435i
\(179\) 66294.5 114825.i 0.154648 0.267859i −0.778283 0.627914i \(-0.783909\pi\)
0.932931 + 0.360056i \(0.117242\pi\)
\(180\) −46746.5 80967.3i −0.107539 0.186264i
\(181\) −740060. −1.67908 −0.839538 0.543301i \(-0.817174\pi\)
−0.839538 + 0.543301i \(0.817174\pi\)
\(182\) 295964. + 902446.i 0.662308 + 2.01950i
\(183\) 31458.5 0.0694400
\(184\) −89011.3 154172.i −0.193821 0.335708i
\(185\) −107891. + 186873.i −0.231769 + 0.401436i
\(186\) 52106.8 90251.6i 0.110436 0.191281i
\(187\) 286603. + 496410.i 0.599344 + 1.03809i
\(188\) 107548. 0.221926
\(189\) 92497.2 + 19395.7i 0.188354 + 0.0394958i
\(190\) −468722. −0.941957
\(191\) 291366. + 504661.i 0.577904 + 1.00096i 0.995719 + 0.0924273i \(0.0294626\pi\)
−0.417815 + 0.908532i \(0.637204\pi\)
\(192\) 237566. 411477.i 0.465085 0.805550i
\(193\) 200452. 347193.i 0.387362 0.670931i −0.604731 0.796429i \(-0.706720\pi\)
0.992094 + 0.125498i \(0.0400529\pi\)
\(194\) −364167. 630756.i −0.694699 1.20325i
\(195\) 158502. 0.298503
\(196\) −708216. + 520513.i −1.31682 + 0.967813i
\(197\) 671589. 1.23293 0.616464 0.787383i \(-0.288564\pi\)
0.616464 + 0.787383i \(0.288564\pi\)
\(198\) 154949. + 268380.i 0.280884 + 0.486505i
\(199\) 227511. 394060.i 0.407258 0.705391i −0.587324 0.809352i \(-0.699818\pi\)
0.994581 + 0.103961i \(0.0331518\pi\)
\(200\) −245758. + 425666.i −0.434443 + 0.752478i
\(201\) −71353.9 123589.i −0.124574 0.215769i
\(202\) 778878. 1.34305
\(203\) −892654. 187180.i −1.52035 0.318801i
\(204\) −647409. −1.08919
\(205\) 59603.8 + 103237.i 0.0990580 + 0.171573i
\(206\) 93337.6 161665.i 0.153246 0.265430i
\(207\) 38693.8 67019.6i 0.0627647 0.108712i
\(208\) −14891.0 25791.9i −0.0238652 0.0413357i
\(209\) 963860. 1.52633
\(210\) 73681.2 + 224667.i 0.115294 + 0.351553i
\(211\) −1.19545e6 −1.84852 −0.924260 0.381764i \(-0.875317\pi\)
−0.924260 + 0.381764i \(0.875317\pi\)
\(212\) −471249. 816228.i −0.720130 1.24730i
\(213\) −261601. + 453105.i −0.395084 + 0.684306i
\(214\) 31960.7 55357.6i 0.0477070 0.0826310i
\(215\) −217257. 376300.i −0.320537 0.555186i
\(216\) −135837. −0.198099
\(217\) −109071. + 121806.i −0.157239 + 0.175598i
\(218\) −1.03428e6 −1.47400
\(219\) −175998. 304837.i −0.247969 0.429495i
\(220\) −240490. + 416541.i −0.334997 + 0.580231i
\(221\) 548788. 950529.i 0.755830 1.30914i
\(222\) 403919. + 699608.i 0.550062 + 0.952736i
\(223\) 296529. 0.399305 0.199653 0.979867i \(-0.436019\pi\)
0.199653 + 0.979867i \(0.436019\pi\)
\(224\) −486029. + 542778.i −0.647205 + 0.722774i
\(225\) −213665. −0.281370
\(226\) 514172. + 890573.i 0.669634 + 1.15984i
\(227\) −109073. + 188920.i −0.140492 + 0.243340i −0.927682 0.373371i \(-0.878202\pi\)
0.787190 + 0.616711i \(0.211535\pi\)
\(228\) −544318. + 942787.i −0.693451 + 1.20109i
\(229\) 614602. + 1.06452e6i 0.774471 + 1.34142i 0.935091 + 0.354407i \(0.115317\pi\)
−0.160620 + 0.987016i \(0.551349\pi\)
\(230\) 193607. 0.241324
\(231\) −151515. 461996.i −0.186821 0.569650i
\(232\) 1.31090e6 1.59901
\(233\) 31472.1 + 54511.3i 0.0379784 + 0.0657805i 0.884390 0.466749i \(-0.154575\pi\)
−0.846411 + 0.532530i \(0.821242\pi\)
\(234\) 296698. 513895.i 0.354221 0.613529i
\(235\) −22695.8 + 39310.4i −0.0268088 + 0.0464341i
\(236\) −194424. 336753.i −0.227233 0.393578i
\(237\) 87846.2 0.101590
\(238\) 1.60243e6 + 336012.i 1.83373 + 0.384514i
\(239\) 219330. 0.248372 0.124186 0.992259i \(-0.460368\pi\)
0.124186 + 0.992259i \(0.460368\pi\)
\(240\) −3707.15 6420.98i −0.00415444 0.00719570i
\(241\) −216932. + 375737.i −0.240592 + 0.416717i −0.960883 0.276955i \(-0.910675\pi\)
0.720291 + 0.693672i \(0.244008\pi\)
\(242\) 57822.6 100152.i 0.0634686 0.109931i
\(243\) −29524.5 51137.9i −0.0320750 0.0555556i
\(244\) 182791. 0.196553
\(245\) −40800.4 368707.i −0.0434259 0.392433i
\(246\) 446286. 0.470193
\(247\) −922803. 1.59834e6i −0.962424 1.66697i
\(248\) 117501. 203517.i 0.121314 0.210122i
\(249\) 316780. 548680.i 0.323787 0.560816i
\(250\) −583904. 1.01135e6i −0.590870 1.02342i
\(251\) −1.71109e6 −1.71431 −0.857155 0.515059i \(-0.827770\pi\)
−0.857155 + 0.515059i \(0.827770\pi\)
\(252\) 537460. + 112700.i 0.533144 + 0.111795i
\(253\) −398125. −0.391037
\(254\) 377461. + 653782.i 0.367103 + 0.635841i
\(255\) 136623. 236638.i 0.131575 0.227894i
\(256\) 554822. 960979.i 0.529119 0.916461i
\(257\) −492029. 852219.i −0.464684 0.804856i 0.534503 0.845166i \(-0.320499\pi\)
−0.999187 + 0.0403103i \(0.987165\pi\)
\(258\) −1.62672e6 −1.52147
\(259\) −394967. 1.20432e6i −0.365857 1.11556i
\(260\) 920984. 0.844926
\(261\) 284929. + 493512.i 0.258902 + 0.448432i
\(262\) −807084. + 1.39791e6i −0.726383 + 1.25813i
\(263\) −273548. + 473799.i −0.243862 + 0.422381i −0.961811 0.273714i \(-0.911748\pi\)
0.717949 + 0.696096i \(0.245081\pi\)
\(264\) 349410. + 605196.i 0.308550 + 0.534424i
\(265\) 397791. 0.347969
\(266\) 1.83658e6 2.05102e6i 1.59150 1.77732i
\(267\) 1.29876e6 1.11493
\(268\) −414605. 718118.i −0.352613 0.610743i
\(269\) 320556. 555219.i 0.270099 0.467825i −0.698788 0.715329i \(-0.746277\pi\)
0.968887 + 0.247504i \(0.0796102\pi\)
\(270\) 73863.9 127936.i 0.0616627 0.106803i
\(271\) 274006. + 474593.i 0.226640 + 0.392552i 0.956810 0.290713i \(-0.0938925\pi\)
−0.730170 + 0.683265i \(0.760559\pi\)
\(272\) −51341.8 −0.0420774
\(273\) −621054. + 693569.i −0.504339 + 0.563227i
\(274\) −287651. −0.231467
\(275\) 549607. + 951948.i 0.438249 + 0.759069i
\(276\) 224832. 389421.i 0.177658 0.307713i
\(277\) −837070. + 1.44985e6i −0.655485 + 1.13533i 0.326287 + 0.945271i \(0.394202\pi\)
−0.981772 + 0.190062i \(0.939131\pi\)
\(278\) 698847. + 1.21044e6i 0.542338 + 0.939358i
\(279\) 102157. 0.0785698
\(280\) 166151. + 506623.i 0.126651 + 0.386180i
\(281\) 1.81078e6 1.36804 0.684021 0.729462i \(-0.260230\pi\)
0.684021 + 0.729462i \(0.260230\pi\)
\(282\) 84968.1 + 147169.i 0.0636258 + 0.110203i
\(283\) −1.25657e6 + 2.17645e6i −0.932657 + 1.61541i −0.153898 + 0.988087i \(0.549183\pi\)
−0.778759 + 0.627323i \(0.784151\pi\)
\(284\) −1.52004e6 + 2.63279e6i −1.11830 + 1.93696i
\(285\) −229735. 397913.i −0.167539 0.290185i
\(286\) −3.05276e6 −2.20687
\(287\) −685285. 143697.i −0.491096 0.102978i
\(288\) 455217. 0.323398
\(289\) −236142. 409009.i −0.166314 0.288064i
\(290\) −712831. + 1.23466e6i −0.497728 + 0.862090i
\(291\) 356979. 618306.i 0.247121 0.428027i
\(292\) −1.02265e6 1.77127e6i −0.701888 1.21571i
\(293\) 107228. 0.0729691 0.0364845 0.999334i \(-0.488384\pi\)
0.0364845 + 0.999334i \(0.488384\pi\)
\(294\) −1.27180e6 557894.i −0.858122 0.376429i
\(295\) 164117. 0.109799
\(296\) 910836. + 1.57761e6i 0.604242 + 1.04658i
\(297\) −151891. + 263082.i −0.0999171 + 0.173061i
\(298\) 1.66575e6 2.88517e6i 1.08660 1.88205i
\(299\) 381166. + 660199.i 0.246568 + 0.427068i
\(300\) −1.24151e6 −0.796431
\(301\) 2.49788e6 + 523778.i 1.58911 + 0.333220i
\(302\) −1.88330e6 −1.18824
\(303\) 381752. + 661214.i 0.238877 + 0.413747i
\(304\) −43166.3 + 74766.2i −0.0267893 + 0.0464004i
\(305\) −38574.4 + 66812.8i −0.0237437 + 0.0411254i
\(306\) −511485. 885917.i −0.312269 0.540866i
\(307\) 1.49622e6 0.906042 0.453021 0.891500i \(-0.350346\pi\)
0.453021 + 0.891500i \(0.350346\pi\)
\(308\) −880385. 2.68445e6i −0.528805 1.61242i
\(309\) 182990. 0.109027
\(310\) 127787. + 221333.i 0.0755234 + 0.130810i
\(311\) −430601. + 745823.i −0.252449 + 0.437255i −0.964200 0.265178i \(-0.914569\pi\)
0.711750 + 0.702433i \(0.247903\pi\)
\(312\) 669052. 1.15883e6i 0.389111 0.673960i
\(313\) 251969. + 436422.i 0.145374 + 0.251794i 0.929512 0.368791i \(-0.120228\pi\)
−0.784139 + 0.620586i \(0.786895\pi\)
\(314\) 709452. 0.406068
\(315\) −154613. + 172666.i −0.0877952 + 0.0980464i
\(316\) 510435. 0.287556
\(317\) 240004. + 415700.i 0.134144 + 0.232344i 0.925270 0.379309i \(-0.123838\pi\)
−0.791126 + 0.611653i \(0.790505\pi\)
\(318\) 744619. 1.28972e6i 0.412921 0.715199i
\(319\) 1.46584e6 2.53890e6i 0.806508 1.39691i
\(320\) 582608. + 1.00911e6i 0.318055 + 0.550887i
\(321\) 62659.7 0.0339411
\(322\) −758604. + 847180.i −0.407733 + 0.455340i
\(323\) −3.18168e6 −1.69688
\(324\) −171554. 297140.i −0.0907899 0.157253i
\(325\) 1.05239e6 1.82280e6i 0.552674 0.957259i
\(326\) 848948. 1.47042e6i 0.442423 0.766298i
\(327\) −506931. 878031.i −0.262168 0.454088i
\(328\) 1.00637e6 0.516505
\(329\) −83084.8 253341.i −0.0423187 0.129037i
\(330\) −759995. −0.384172
\(331\) 1.09961e6 + 1.90458e6i 0.551656 + 0.955497i 0.998155 + 0.0607125i \(0.0193373\pi\)
−0.446499 + 0.894784i \(0.647329\pi\)
\(332\) 1.84067e6 3.18813e6i 0.916496 1.58742i
\(333\) −395946. + 685799.i −0.195671 + 0.338911i
\(334\) 593392. + 1.02778e6i 0.291055 + 0.504122i
\(335\) 349977. 0.170383
\(336\) 42622.4 + 8937.46i 0.0205963 + 0.00431883i
\(337\) −1.35725e6 −0.651008 −0.325504 0.945541i \(-0.605534\pi\)
−0.325504 + 0.945541i \(0.605534\pi\)
\(338\) 1.21826e6 + 2.11008e6i 0.580026 + 1.00463i
\(339\) −504023. + 872993.i −0.238205 + 0.412583i
\(340\) 793854. 1.37499e6i 0.372429 0.645065i
\(341\) −262775. 455140.i −0.122377 0.211963i
\(342\) −1.72015e6 −0.795245
\(343\) 1.77325e6 + 1.26616e6i 0.813830 + 0.581103i
\(344\) −3.66825e6 −1.67133
\(345\) 94892.6 + 164359.i 0.0429225 + 0.0743439i
\(346\) −2.33142e6 + 4.03814e6i −1.04696 + 1.81339i
\(347\) −1.89970e6 + 3.29038e6i −0.846959 + 1.46698i 0.0369507 + 0.999317i \(0.488236\pi\)
−0.883909 + 0.467658i \(0.845098\pi\)
\(348\) 1.65560e6 + 2.86758e6i 0.732835 + 1.26931i
\(349\) −1.31753e6 −0.579024 −0.289512 0.957174i \(-0.593493\pi\)
−0.289512 + 0.957174i \(0.593493\pi\)
\(350\) 3.07292e6 + 644358.i 1.34085 + 0.281162i
\(351\) 581682. 0.252010
\(352\) −1.17095e6 2.02814e6i −0.503710 0.872451i
\(353\) 1.71253e6 2.96618e6i 0.731477 1.26695i −0.224775 0.974411i \(-0.572165\pi\)
0.956252 0.292544i \(-0.0945018\pi\)
\(354\) 307209. 532102.i 0.130294 0.225677i
\(355\) −641549. 1.11120e6i −0.270184 0.467972i
\(356\) 7.54649e6 3.15588
\(357\) 500148. + 1.52504e6i 0.207696 + 0.633302i
\(358\) 1.21733e6 0.501997
\(359\) −735419. 1.27378e6i −0.301161 0.521626i 0.675238 0.737600i \(-0.264041\pi\)
−0.976399 + 0.215974i \(0.930707\pi\)
\(360\) 166563. 288495.i 0.0677364 0.117323i
\(361\) −1.43700e6 + 2.48895e6i −0.580347 + 1.00519i
\(362\) −3.39733e6 5.88435e6i −1.36259 2.36008i
\(363\) 113362. 0.0451547
\(364\) −3.60866e6 + 4.03002e6i −1.42756 + 1.59424i
\(365\) 863235. 0.339154
\(366\) 144414. + 250132.i 0.0563515 + 0.0976037i
\(367\) 2.49039e6 4.31349e6i 0.965168 1.67172i 0.256006 0.966675i \(-0.417593\pi\)
0.709163 0.705045i \(-0.249073\pi\)
\(368\) 17830.0 30882.4i 0.00686326 0.0118875i
\(369\) 218738. + 378866.i 0.0836295 + 0.144850i
\(370\) −1.98114e6 −0.752335
\(371\) −1.55865e6 + 1.74064e6i −0.587915 + 0.656561i
\(372\) 593586. 0.222396
\(373\) −1.98024e6 3.42987e6i −0.736962 1.27646i −0.953857 0.300261i \(-0.902926\pi\)
0.216895 0.976195i \(-0.430407\pi\)
\(374\) −2.63136e6 + 4.55766e6i −0.972751 + 1.68485i
\(375\) 572379. 991389.i 0.210187 0.364054i
\(376\) 191603. + 331866.i 0.0698927 + 0.121058i
\(377\) −5.61359e6 −2.03417
\(378\) 270401. + 824500.i 0.0973371 + 0.296798i
\(379\) −1.75155e6 −0.626359 −0.313179 0.949694i \(-0.601394\pi\)
−0.313179 + 0.949694i \(0.601394\pi\)
\(380\) −1.33489e6 2.31209e6i −0.474226 0.821384i
\(381\) −370010. + 640876.i −0.130587 + 0.226184i
\(382\) −2.67510e6 + 4.63341e6i −0.937954 + 1.62458i
\(383\) −1.56917e6 2.71788e6i −0.546604 0.946745i −0.998504 0.0546771i \(-0.982587\pi\)
0.451900 0.892068i \(-0.350746\pi\)
\(384\) 2.74375e6 0.949549
\(385\) 1.16699e6 + 244706.i 0.401252 + 0.0841381i
\(386\) 3.68079e6 1.25740
\(387\) −797306. 1.38097e6i −0.270612 0.468714i
\(388\) 2.07425e6 3.59270e6i 0.699489 1.21155i
\(389\) 526262. 911512.i 0.176331 0.305414i −0.764290 0.644872i \(-0.776911\pi\)
0.940621 + 0.339459i \(0.110244\pi\)
\(390\) 727622. + 1.26028e6i 0.242239 + 0.419570i
\(391\) 1.31420e6 0.434731
\(392\) −2.86789e6 1.25805e6i −0.942645 0.413507i
\(393\) −1.58231e6 −0.516784
\(394\) 3.08301e6 + 5.33992e6i 1.00054 + 1.73298i
\(395\) −107717. + 186571.i −0.0347370 + 0.0601662i
\(396\) −882568. + 1.52865e6i −0.282820 + 0.489859i
\(397\) −227362. 393803.i −0.0724005 0.125401i 0.827552 0.561389i \(-0.189733\pi\)
−0.899953 + 0.435987i \(0.856399\pi\)
\(398\) 4.17766e6 1.32198
\(399\) 2.64134e6 + 553861.i 0.830600 + 0.174168i
\(400\) −98456.3 −0.0307676
\(401\) 1.44216e6 + 2.49789e6i 0.447870 + 0.775733i 0.998247 0.0591831i \(-0.0188496\pi\)
−0.550378 + 0.834916i \(0.685516\pi\)
\(402\) 655116. 1.13469e6i 0.202187 0.350198i
\(403\) −503164. + 871505.i −0.154329 + 0.267305i
\(404\) 2.21819e6 + 3.84202e6i 0.676153 + 1.17113i
\(405\) 144812. 0.0438699
\(406\) −2.60953e6 7.95692e6i −0.785683 2.39569i
\(407\) 4.07394e6 1.21907
\(408\) −1.15340e6 1.99774e6i −0.343027 0.594140i
\(409\) 112957. 195647.i 0.0333891 0.0578317i −0.848848 0.528637i \(-0.822703\pi\)
0.882237 + 0.470805i \(0.156037\pi\)
\(410\) −547236. + 947841.i −0.160774 + 0.278468i
\(411\) −140986. 244196.i −0.0411692 0.0713072i
\(412\) 1.06328e6 0.308605
\(413\) −643056. + 718141.i −0.185513 + 0.207174i
\(414\) 710513. 0.203738
\(415\) 776873. + 1.34558e6i 0.221426 + 0.383522i
\(416\) −2.24213e6 + 3.88349e6i −0.635226 + 1.10024i
\(417\) −685053. + 1.18655e6i −0.192923 + 0.334152i
\(418\) 4.42471e6 + 7.66382e6i 1.23864 + 2.14538i
\(419\) 4.31027e6 1.19941 0.599707 0.800220i \(-0.295284\pi\)
0.599707 + 0.800220i \(0.295284\pi\)
\(420\) −898389. + 1.00329e6i −0.248509 + 0.277525i
\(421\) 1.25088e6 0.343962 0.171981 0.985100i \(-0.444983\pi\)
0.171981 + 0.985100i \(0.444983\pi\)
\(422\) −5.48784e6 9.50521e6i −1.50010 2.59825i
\(423\) −83290.9 + 144264.i −0.0226332 + 0.0392019i
\(424\) 1.67911e6 2.90831e6i 0.453592 0.785644i
\(425\) −1.81424e6 3.14236e6i −0.487218 0.843887i
\(426\) −4.80363e6 −1.28246
\(427\) −141213. 430583.i −0.0374804 0.114285i
\(428\) 364087. 0.0960719
\(429\) −1.49625e6 2.59158e6i −0.392519 0.679863i
\(430\) 1.99469e6 3.45490e6i 0.520240 0.901081i
\(431\) 2.20397e6 3.81738e6i 0.571494 0.989857i −0.424919 0.905231i \(-0.639697\pi\)
0.996413 0.0846252i \(-0.0269693\pi\)
\(432\) −13604.8 23564.2i −0.00350738 0.00607495i
\(433\) −1.60951e6 −0.412549 −0.206274 0.978494i \(-0.566134\pi\)
−0.206274 + 0.978494i \(0.566134\pi\)
\(434\) −1.46921e6 308077.i −0.374420 0.0785118i
\(435\) −1.39752e6 −0.354108
\(436\) −2.94555e6 5.10184e6i −0.742079 1.28532i
\(437\) 1.10493e6 1.91380e6i 0.276779 0.479395i
\(438\) 1.61588e6 2.79878e6i 0.402460 0.697082i
\(439\) 2.21226e6 + 3.83175e6i 0.547867 + 0.948933i 0.998420 + 0.0561836i \(0.0178932\pi\)
−0.450554 + 0.892749i \(0.648773\pi\)
\(440\) −1.71379e6 −0.422012
\(441\) −149732. 1.35311e6i −0.0366622 0.331311i
\(442\) 1.00771e7 2.45347
\(443\) 1.80719e6 + 3.13015e6i 0.437517 + 0.757801i 0.997497 0.0707044i \(-0.0225247\pi\)
−0.559980 + 0.828506i \(0.689191\pi\)
\(444\) −2.30066e6 + 3.98487e6i −0.553855 + 0.959305i
\(445\) −1.59254e6 + 2.75835e6i −0.381232 + 0.660313i
\(446\) 1.36125e6 + 2.35776e6i 0.324042 + 0.561257i
\(447\) 3.26574e6 0.773060
\(448\) −6.69844e6 1.40459e6i −1.57681 0.330640i
\(449\) −467024. −0.109326 −0.0546630 0.998505i \(-0.517408\pi\)
−0.0546630 + 0.998505i \(0.517408\pi\)
\(450\) −980855. 1.69889e6i −0.228336 0.395489i
\(451\) 1.12531e6 1.94910e6i 0.260515 0.451225i
\(452\) −2.92865e6 + 5.07257e6i −0.674251 + 1.16784i
\(453\) −923065. 1.59880e6i −0.211342 0.366056i
\(454\) −2.00285e6 −0.456046
\(455\) −711495. 2.16947e6i −0.161118 0.491276i
\(456\) −3.87893e6 −0.873575
\(457\) 300626. + 520699.i 0.0673342 + 0.116626i 0.897727 0.440552i \(-0.145217\pi\)
−0.830393 + 0.557178i \(0.811884\pi\)
\(458\) −5.64280e6 + 9.77362e6i −1.25699 + 2.17717i
\(459\) 501388. 868430.i 0.111082 0.192399i
\(460\) 551379. + 955016.i 0.121494 + 0.210434i
\(461\) 2.87193e6 0.629392 0.314696 0.949192i \(-0.398097\pi\)
0.314696 + 0.949192i \(0.398097\pi\)
\(462\) 2.97787e6 3.32557e6i 0.649083 0.724871i
\(463\) −2.91502e6 −0.631959 −0.315979 0.948766i \(-0.602333\pi\)
−0.315979 + 0.948766i \(0.602333\pi\)
\(464\) 131294. + 227409.i 0.0283107 + 0.0490357i
\(465\) −125264. + 216964.i −0.0268655 + 0.0465324i
\(466\) −288953. + 500481.i −0.0616399 + 0.106763i
\(467\) 3.59688e6 + 6.22998e6i 0.763192 + 1.32189i 0.941197 + 0.337857i \(0.109702\pi\)
−0.178006 + 0.984029i \(0.556965\pi\)
\(468\) 3.37989e6 0.713327
\(469\) −1.37130e6 + 1.53142e6i −0.287873 + 0.321486i
\(470\) −416751. −0.0870227
\(471\) 347724. + 602275.i 0.0722241 + 0.125096i
\(472\) 692755. 1.19989e6i 0.143128 0.247905i
\(473\) −4.10179e6 + 7.10451e6i −0.842986 + 1.46009i
\(474\) 403268. + 698481.i 0.0824419 + 0.142794i
\(475\) −6.10140e6 −1.24078
\(476\) 2.90614e6 + 8.86133e6i 0.587893 + 1.79259i
\(477\) 1.45984e6 0.293772
\(478\) 1.00686e6 + 1.74393e6i 0.201557 + 0.349108i
\(479\) 1.39824e6 2.42183e6i 0.278448 0.482286i −0.692551 0.721369i \(-0.743513\pi\)
0.970999 + 0.239083i \(0.0768467\pi\)
\(480\) −558187. + 966808.i −0.110580 + 0.191530i
\(481\) −3.90040e6 6.75569e6i −0.768682 1.33140i
\(482\) −3.98340e6 −0.780974
\(483\) −1.09101e6 228774.i −0.212795 0.0446209i
\(484\) 658698. 0.127812
\(485\) 875456. + 1.51633e6i 0.168997 + 0.292712i
\(486\) 271071. 469509.i 0.0520586 0.0901682i
\(487\) 1.46624e6 2.53960e6i 0.280144 0.485224i −0.691276 0.722591i \(-0.742951\pi\)
0.971420 + 0.237367i \(0.0762843\pi\)
\(488\) 325652. + 564046.i 0.0619020 + 0.107217i
\(489\) 1.66438e6 0.314761
\(490\) 2.74436e6 2.01700e6i 0.516357 0.379504i
\(491\) −3.06121e6 −0.573046 −0.286523 0.958073i \(-0.592499\pi\)
−0.286523 + 0.958073i \(0.592499\pi\)
\(492\) 1.27099e6 + 2.20142e6i 0.236717 + 0.410006i
\(493\) −4.83870e6 + 8.38087e6i −0.896626 + 1.55300i
\(494\) 8.47246e6 1.46747e7i 1.56204 2.70553i
\(495\) −372497. 645183.i −0.0683297 0.118350i
\(496\) 47073.4 0.00859154
\(497\) 7.37611e6 + 1.54669e6i 1.33948 + 0.280875i
\(498\) 5.81687e6 1.05103
\(499\) 3.27577e6 + 5.67380e6i 0.588928 + 1.02005i 0.994373 + 0.105934i \(0.0337831\pi\)
−0.405445 + 0.914119i \(0.632884\pi\)
\(500\) 3.32583e6 5.76052e6i 0.594943 1.03047i
\(501\) −581679. + 1.00750e6i −0.103535 + 0.179329i
\(502\) −7.85497e6 1.36052e7i −1.39119 2.40960i
\(503\) −1.58524e6 −0.279367 −0.139684 0.990196i \(-0.544609\pi\)
−0.139684 + 0.990196i \(0.544609\pi\)
\(504\) 609752. + 1.85924e6i 0.106924 + 0.326032i
\(505\) −1.87242e6 −0.326719
\(506\) −1.82764e6 3.16556e6i −0.317332 0.549635i
\(507\) −1.19421e6 + 2.06843e6i −0.206329 + 0.357373i
\(508\) −2.14996e6 + 3.72385e6i −0.369634 + 0.640225i
\(509\) −3.38991e6 5.87149e6i −0.579953 1.00451i −0.995484 0.0949297i \(-0.969737\pi\)
0.415530 0.909579i \(-0.363596\pi\)
\(510\) 2.50873e6 0.427099
\(511\) −3.38239e6 + 3.77732e6i −0.573022 + 0.639929i
\(512\) 432315. 0.0728829
\(513\) −843098. 1.46029e6i −0.141444 0.244988i
\(514\) 4.51743e6 7.82441e6i 0.754195 1.30630i
\(515\) −224383. + 388643.i −0.0372796 + 0.0645702i
\(516\) −4.63279e6 8.02422e6i −0.765981 1.32672i
\(517\) 856990. 0.141010
\(518\) 7.76265e6 8.66903e6i 1.27112 1.41954i
\(519\) −4.57081e6 −0.744859
\(520\) 1.64078e6 + 2.84192e6i 0.266099 + 0.460897i
\(521\) 5.06918e6 8.78008e6i 0.818170 1.41711i −0.0888599 0.996044i \(-0.528322\pi\)
0.907029 0.421067i \(-0.138344\pi\)
\(522\) −2.61600e6 + 4.53105e6i −0.420205 + 0.727817i
\(523\) −49998.6 86600.2i −0.00799289 0.0138441i 0.862001 0.506906i \(-0.169211\pi\)
−0.869994 + 0.493062i \(0.835878\pi\)
\(524\) −9.19408e6 −1.46278
\(525\) 959116. + 2.92452e6i 0.151870 + 0.463080i
\(526\) −5.02301e6 −0.791589
\(527\) 867416. + 1.50241e6i 0.136051 + 0.235647i
\(528\) −69990.7 + 121227.i −0.0109259 + 0.0189241i
\(529\) 2.76178e6 4.78354e6i 0.429091 0.743207i
\(530\) 1.82610e6 + 3.16291e6i 0.282381 + 0.489099i
\(531\) 602290. 0.0926978
\(532\) 1.53476e7 + 3.21824e6i 2.35105 + 0.492991i
\(533\) −4.30952e6 −0.657068
\(534\) 5.96209e6 + 1.03266e7i 0.904785 + 1.56713i
\(535\) −76833.3 + 133079.i −0.0116055 + 0.0201014i
\(536\) 1.47729e6 2.55873e6i 0.222102 0.384692i
\(537\) 596651. + 1.03343e6i 0.0892862 + 0.154648i
\(538\) 5.88620e6 0.876756
\(539\) −5.64338e6 + 4.14768e6i −0.836695 + 0.614941i
\(540\) 841436. 0.124176
\(541\) 59871.4 + 103700.i 0.00879481 + 0.0152331i 0.870389 0.492364i \(-0.163867\pi\)
−0.861595 + 0.507597i \(0.830534\pi\)
\(542\) −2.51571e6 + 4.35734e6i −0.367843 + 0.637123i
\(543\) 3.33027e6 5.76820e6i 0.484708 0.839538i
\(544\) 3.86527e6 + 6.69485e6i 0.559993 + 0.969937i
\(545\) 2.48640e6 0.358574
\(546\) −8.36571e6 1.75420e6i −1.20094 0.251824i
\(547\) 236568. 0.0338056 0.0169028 0.999857i \(-0.494619\pi\)
0.0169028 + 0.999857i \(0.494619\pi\)
\(548\) −819209. 1.41891e6i −0.116531 0.201838i
\(549\) −141563. + 245194.i −0.0200456 + 0.0347200i
\(550\) −5.04607e6 + 8.74005e6i −0.711290 + 1.23199i
\(551\) 8.13641e6 + 1.40927e7i 1.14170 + 1.97749i
\(552\) 1.60220e6 0.223805
\(553\) −394330. 1.20238e6i −0.0548336 0.167198i
\(554\) −1.53707e7 −2.12774
\(555\) −971018. 1.68185e6i −0.133812 0.231769i
\(556\) −3.98054e6 + 6.89449e6i −0.546078 + 0.945834i
\(557\) 2.41833e6 4.18867e6i 0.330277 0.572056i −0.652289 0.757970i \(-0.726191\pi\)
0.982566 + 0.185914i \(0.0595247\pi\)
\(558\) 468961. + 812264.i 0.0637604 + 0.110436i
\(559\) 1.57083e7 2.12617
\(560\) −71245.3 + 79564.1i −0.00960034 + 0.0107213i
\(561\) −5.15885e6 −0.692063
\(562\) 8.31258e6 + 1.43978e7i 1.11018 + 1.92290i
\(563\) 2.74147e6 4.74837e6i 0.364513 0.631355i −0.624185 0.781277i \(-0.714569\pi\)
0.988698 + 0.149922i \(0.0479021\pi\)
\(564\) −483966. + 838254.i −0.0640644 + 0.110963i
\(565\) −1.23607e6 2.14093e6i −0.162900 0.282151i
\(566\) −2.30738e7 −3.02746
\(567\) −567412. + 633664.i −0.0741209 + 0.0827754i
\(568\) −1.08322e7 −1.40878
\(569\) 3.48830e6 + 6.04191e6i 0.451682 + 0.782336i 0.998491 0.0549213i \(-0.0174908\pi\)
−0.546809 + 0.837258i \(0.684157\pi\)
\(570\) 2.10925e6 3.65333e6i 0.271920 0.470979i
\(571\) 5.88573e6 1.01944e7i 0.755458 1.30849i −0.189689 0.981844i \(-0.560748\pi\)
0.945146 0.326647i \(-0.105919\pi\)
\(572\) −8.69404e6 1.50585e7i −1.11104 1.92439i
\(573\) −5.24459e6 −0.667306
\(574\) −2.00332e6 6.10848e6i −0.253788 0.773844i
\(575\) 2.52020e6 0.317882
\(576\) 2.13810e6 + 3.70329e6i 0.268517 + 0.465085i
\(577\) −3.38646e6 + 5.86552e6i −0.423454 + 0.733444i −0.996275 0.0862365i \(-0.972516\pi\)
0.572820 + 0.819681i \(0.305849\pi\)
\(578\) 2.16807e6 3.75521e6i 0.269932 0.467535i
\(579\) 1.80407e6 + 3.12474e6i 0.223644 + 0.387362i
\(580\) −8.12037e6 −1.00232
\(581\) −8.93197e6 1.87294e6i −1.09776 0.230188i
\(582\) 6.55501e6 0.802169
\(583\) −3.75512e6 6.50407e6i −0.457565 0.792526i
\(584\) 3.64380e6 6.31124e6i 0.442102 0.765743i
\(585\) −713259. + 1.23540e6i −0.0861703 + 0.149251i
\(586\) 492242. + 852588.i 0.0592154 + 0.102564i
\(587\) −1.05020e7 −1.25799 −0.628996 0.777408i \(-0.716534\pi\)
−0.628996 + 0.777408i \(0.716534\pi\)
\(588\) −870027. 7.86230e6i −0.103774 0.937792i
\(589\) 2.91717e6 0.346476
\(590\) 753400. + 1.30493e6i 0.0891036 + 0.154332i
\(591\) −3.02215e6 + 5.23452e6i −0.355916 + 0.616464i
\(592\) −182451. + 316014.i −0.0213964 + 0.0370597i
\(593\) 3.79537e6 + 6.57378e6i 0.443218 + 0.767676i 0.997926 0.0643687i \(-0.0205034\pi\)
−0.554708 + 0.832045i \(0.687170\pi\)
\(594\) −2.78909e6 −0.324336
\(595\) −3.85223e6 807770.i −0.446087 0.0935396i
\(596\) 1.89758e7 2.18818
\(597\) 2.04760e6 + 3.54654e6i 0.235130 + 0.407258i
\(598\) −3.49957e6 + 6.06144e6i −0.400186 + 0.693143i
\(599\) 6.50992e6 1.12755e7i 0.741325 1.28401i −0.210567 0.977580i \(-0.567531\pi\)
0.951892 0.306434i \(-0.0991358\pi\)
\(600\) −2.21183e6 3.83099e6i −0.250826 0.434443i
\(601\) 1.41821e7 1.60160 0.800801 0.598931i \(-0.204408\pi\)
0.800801 + 0.598931i \(0.204408\pi\)
\(602\) 7.30214e6 + 2.22655e7i 0.821219 + 2.50404i
\(603\) 1.28437e6 0.143846
\(604\) −5.36352e6 9.28988e6i −0.598215 1.03614i
\(605\) −139005. + 240764.i −0.0154398 + 0.0267426i
\(606\) −3.50495e6 + 6.07075e6i −0.387704 + 0.671523i
\(607\) −6.03862e6 1.04592e7i −0.665221 1.15220i −0.979225 0.202775i \(-0.935004\pi\)
0.314004 0.949422i \(-0.398329\pi\)
\(608\) 1.29991e7 1.42612
\(609\) 5.47587e6 6.11524e6i 0.598287 0.668144i
\(610\) −708320. −0.0770735
\(611\) −820485. 1.42112e6i −0.0889135 0.154003i
\(612\) 2.91334e6 5.04606e6i 0.314422 0.544595i
\(613\) 1.36265e6 2.36018e6i 0.146465 0.253684i −0.783454 0.621450i \(-0.786544\pi\)
0.929918 + 0.367766i \(0.119877\pi\)
\(614\) 6.86855e6 + 1.18967e7i 0.735266 + 1.27352i
\(615\) −1.07287e6 −0.114382
\(616\) 6.71508e6 7.49914e6i 0.713016 0.796269i
\(617\) 8.47094e6 0.895816 0.447908 0.894080i \(-0.352169\pi\)
0.447908 + 0.894080i \(0.352169\pi\)
\(618\) 840038. + 1.45499e6i 0.0884765 + 0.153246i
\(619\) −8.69174e6 + 1.50545e7i −0.911759 + 1.57921i −0.100180 + 0.994969i \(0.531942\pi\)
−0.811578 + 0.584243i \(0.801391\pi\)
\(620\) −727855. + 1.26068e6i −0.0760441 + 0.131712i
\(621\) 348244. + 603176.i 0.0362372 + 0.0627647i
\(622\) −7.90690e6 −0.819464
\(623\) −5.82995e6 1.77765e7i −0.601789 1.83496i
\(624\) 268037. 0.0275571
\(625\) −2.71793e6 4.70759e6i −0.278316 0.482058i
\(626\) −2.31338e6 + 4.00689e6i −0.235945 + 0.408669i
\(627\) −4.33737e6 + 7.51255e6i −0.440613 + 0.763165i
\(628\) 2.02047e6 + 3.49955e6i 0.204434 + 0.354090i
\(629\) −1.34480e7 −1.35529
\(630\) −2.08267e6 436714.i −0.209059 0.0438375i
\(631\) −6.45149e6 −0.645040 −0.322520 0.946563i \(-0.604530\pi\)
−0.322520 + 0.946563i \(0.604530\pi\)
\(632\) 909368. + 1.57507e6i 0.0905622 + 0.156858i
\(633\) 5.37951e6 9.31759e6i 0.533622 0.924260i
\(634\) −2.20353e6 + 3.81663e6i −0.217719 + 0.377101i
\(635\) −907413. 1.57169e6i −0.0893040 0.154679i
\(636\) 8.48249e6 0.831535
\(637\) 1.22810e7 + 5.38725e6i 1.19918 + 0.526039i
\(638\) 2.69164e7 2.61797
\(639\) −2.35440e6 4.07795e6i −0.228102 0.395084i
\(640\) −3.36439e6 + 5.82730e6i −0.324681 + 0.562364i
\(641\) −8.88581e6 + 1.53907e7i −0.854185 + 1.47949i 0.0232142 + 0.999731i \(0.492610\pi\)
−0.877399 + 0.479761i \(0.840723\pi\)
\(642\) 287647. + 498218.i 0.0275437 + 0.0477070i
\(643\) −9.34806e6 −0.891649 −0.445825 0.895120i \(-0.647090\pi\)
−0.445825 + 0.895120i \(0.647090\pi\)
\(644\) −6.33938e6 1.32930e6i −0.602327 0.126302i
\(645\) 3.91063e6 0.370124
\(646\) −1.46059e7 2.52981e7i −1.37704 2.38510i
\(647\) −2.67193e6 + 4.62792e6i −0.250937 + 0.434635i −0.963784 0.266684i \(-0.914072\pi\)
0.712847 + 0.701319i \(0.247405\pi\)
\(648\) 611265. 1.05874e6i 0.0571863 0.0990495i
\(649\) −1.54926e6 2.68340e6i −0.144382 0.250077i
\(650\) 1.93245e7 1.79401
\(651\) −458567. 1.39825e6i −0.0424083 0.129310i
\(652\) 9.67098e6 0.890946
\(653\) 598506. + 1.03664e6i 0.0549270 + 0.0951363i 0.892182 0.451677i \(-0.149174\pi\)
−0.837255 + 0.546813i \(0.815841\pi\)
\(654\) 4.65425e6 8.06140e6i 0.425506 0.736998i
\(655\) 1.94022e6 3.36057e6i 0.176705 0.306062i
\(656\) 100794. + 174580.i 0.00914481 + 0.0158393i
\(657\) 3.16796e6 0.286330
\(658\) 1.63295e6 1.82361e6i 0.147030 0.164198i
\(659\) −1.17541e7 −1.05433 −0.527163 0.849764i \(-0.676744\pi\)
−0.527163 + 0.849764i \(0.676744\pi\)
\(660\) −2.16441e6 3.74887e6i −0.193410 0.334997i
\(661\) 9.00573e6 1.55984e7i 0.801706 1.38860i −0.116787 0.993157i \(-0.537259\pi\)
0.918493 0.395438i \(-0.129407\pi\)
\(662\) −1.00958e7 + 1.74864e7i −0.895353 + 1.55080i
\(663\) 4.93910e6 + 8.55476e6i 0.436379 + 0.755830i
\(664\) 1.31170e7 1.15456
\(665\) −4.41512e6 + 4.93064e6i −0.387158 + 0.432364i
\(666\) −7.27054e6 −0.635157
\(667\) −3.36076e6 5.82102e6i −0.292498 0.506622i
\(668\) −3.37987e6 + 5.85411e6i −0.293062 + 0.507598i
\(669\) −1.33438e6 + 2.31122e6i −0.115270 + 0.199653i
\(670\) 1.60661e6 + 2.78273e6i 0.138268 + 0.239488i
\(671\) 1.45656e6 0.124888
\(672\) −2.04341e6 6.23072e6i −0.174555 0.532249i
\(673\) 1.40977e7 1.19981 0.599904 0.800072i \(-0.295206\pi\)
0.599904 + 0.800072i \(0.295206\pi\)
\(674\) −6.23063e6 1.07918e7i −0.528302 0.915046i
\(675\) 961494. 1.66536e6i 0.0812245 0.140685i
\(676\) −6.93902e6 + 1.20187e7i −0.584025 + 1.01156i
\(677\) −3.82793e6 6.63018e6i −0.320991 0.555973i 0.659702 0.751527i \(-0.270683\pi\)
−0.980693 + 0.195555i \(0.937349\pi\)
\(678\) −9.25510e6 −0.773227
\(679\) −1.00654e7 2.11061e6i −0.837832 0.175684i
\(680\) 5.65718e6 0.469167
\(681\) −981657. 1.70028e6i −0.0811133 0.140492i
\(682\) 2.41260e6 4.17874e6i 0.198621 0.344021i
\(683\) 5.43378e6 9.41158e6i 0.445708 0.771988i −0.552394 0.833583i \(-0.686285\pi\)
0.998101 + 0.0615953i \(0.0196188\pi\)
\(684\) −4.89886e6 8.48508e6i −0.400364 0.693451i
\(685\) 691510. 0.0563083
\(686\) −1.92718e6 + 1.99118e7i −0.156355 + 1.61548i
\(687\) −1.10628e7 −0.894283
\(688\) −367396. 636348.i −0.0295912 0.0512535i
\(689\) −7.19034e6 + 1.24540e7i −0.577034 + 0.999452i
\(690\) −871231. + 1.50902e6i −0.0696643 + 0.120662i
\(691\) 7.30588e6 + 1.26542e7i 0.582073 + 1.00818i 0.995233 + 0.0975219i \(0.0310916\pi\)
−0.413160 + 0.910658i \(0.635575\pi\)
\(692\) −2.65589e7 −2.10836
\(693\) 4.28272e6 + 898040.i 0.338756 + 0.0710334i
\(694\) −3.48832e7 −2.74927
\(695\) −1.68002e6 2.90989e6i −0.131933 0.228515i
\(696\) −5.89907e6 + 1.02175e7i −0.461594 + 0.799505i
\(697\) −3.71464e6 + 6.43395e6i −0.289624 + 0.501644i
\(698\) −6.04827e6 1.04759e7i −0.469886 0.813867i
\(699\) −566498. −0.0438536
\(700\) 5.57299e6 + 1.69930e7i 0.429876 + 1.31077i
\(701\) 1.90104e7 1.46115 0.730577 0.682830i \(-0.239251\pi\)
0.730577 + 0.682830i \(0.239251\pi\)
\(702\) 2.67028e6 + 4.62506e6i 0.204510 + 0.354221i
\(703\) −1.13066e7 + 1.95836e7i −0.862866 + 1.49453i
\(704\) 1.09996e7 1.90518e7i 0.836458 1.44879i
\(705\) −204263. 353793.i −0.0154780 0.0268088i
\(706\) 3.14462e7 2.37441
\(707\) 7.33664e6 8.19328e6i 0.552012 0.616466i
\(708\) 3.49964e6 0.262386
\(709\) 5.79644e6 + 1.00397e7i 0.433058 + 0.750078i 0.997135 0.0756440i \(-0.0241013\pi\)
−0.564077 + 0.825722i \(0.690768\pi\)
\(710\) 5.89021e6 1.02021e7i 0.438516 0.759531i
\(711\) −395308. + 684693.i −0.0293266 + 0.0507951i
\(712\) 1.34445e7 + 2.32865e7i 0.993904 + 1.72149i
\(713\) −1.20494e6 −0.0887653
\(714\) −9.82988e6 + 1.09776e7i −0.721610 + 0.805867i
\(715\) 7.33881e6 0.536859
\(716\) 3.46687e6 + 6.00479e6i 0.252729 + 0.437739i
\(717\) −986984. + 1.70951e6i −0.0716989 + 0.124186i
\(718\) 6.75205e6 1.16949e7i 0.488792 0.846613i
\(719\) 5.14304e6 + 8.90800e6i 0.371020 + 0.642626i 0.989723 0.142999i \(-0.0456747\pi\)
−0.618703 + 0.785625i \(0.712341\pi\)
\(720\) 66728.8 0.00479713
\(721\) −821420. 2.50466e6i −0.0588474 0.179436i
\(722\) −2.63868e7 −1.88384
\(723\) −1.95239e6 3.38163e6i −0.138906 0.240592i
\(724\) 1.93507e7 3.35164e7i 1.37199 2.37635i
\(725\) −9.27900e6 + 1.60717e7i −0.655626 + 1.13558i
\(726\) 520403. + 901365.i 0.0366436 + 0.0634686i
\(727\) 1.00970e7 0.708526 0.354263 0.935146i \(-0.384732\pi\)
0.354263 + 0.935146i \(0.384732\pi\)
\(728\) −1.88646e7 3.95571e6i −1.31923 0.276628i
\(729\) 531441. 0.0370370
\(730\) 3.96278e6 + 6.86373e6i 0.275228 + 0.476709i
\(731\) 1.35399e7 2.34518e7i 0.937180 1.62324i
\(732\) −822560. + 1.42471e6i −0.0567400 + 0.0982766i
\(733\) −962010. 1.66625e6i −0.0661332 0.114546i 0.831063 0.556178i \(-0.187733\pi\)
−0.897196 + 0.441632i \(0.854400\pi\)
\(734\) 4.57298e7 3.13299
\(735\) 3.05739e6 + 1.34117e6i 0.208753 + 0.0915728i
\(736\) −5.36932e6 −0.365363
\(737\) −3.30376e6 5.72228e6i −0.224047 0.388061i
\(738\) −2.00829e6 + 3.47846e6i −0.135733 + 0.235096i
\(739\) −2.10136e6 + 3.63967e6i −0.141543 + 0.245161i −0.928078 0.372386i \(-0.878540\pi\)
0.786535 + 0.617546i \(0.211873\pi\)
\(740\) −5.64215e6 9.77249e6i −0.378761 0.656034i
\(741\) 1.66104e7 1.11131
\(742\) −2.09953e7 4.40250e6i −1.39995 0.293555i
\(743\) −1.99659e7 −1.32684 −0.663418 0.748249i \(-0.730895\pi\)
−0.663418 + 0.748249i \(0.730895\pi\)
\(744\) 1.05751e6 + 1.83165e6i 0.0700407 + 0.121314i
\(745\) −4.00445e6 + 6.93592e6i −0.264334 + 0.457839i
\(746\) 1.81810e7 3.14904e7i 1.19611 2.07172i
\(747\) 2.85102e6 + 4.93812e6i 0.186939 + 0.323787i
\(748\) −2.99757e7 −1.95892
\(749\) −281271. 857646.i −0.0183198 0.0558603i
\(750\) 1.05103e7 0.682277
\(751\) 1.81988e6 + 3.15212e6i 0.117745 + 0.203940i 0.918874 0.394552i \(-0.129100\pi\)
−0.801129 + 0.598492i \(0.795767\pi\)
\(752\) −38380.1 + 66476.4i −0.00247492 + 0.00428670i
\(753\) 7.69992e6 1.33366e7i 0.494878 0.857155i
\(754\) −2.57698e7 4.46346e7i −1.65076 2.85919i
\(755\) 4.52745e6 0.289059
\(756\) −3.29698e6 + 3.68194e6i −0.209803 + 0.234300i
\(757\) 1.73429e7 1.09997 0.549986 0.835174i \(-0.314633\pi\)
0.549986 + 0.835174i \(0.314633\pi\)
\(758\) −8.04067e6 1.39268e7i −0.508299 0.880399i
\(759\) 1.79156e6 3.10308e6i 0.112883 0.195519i
\(760\) 4.75635e6 8.23824e6i 0.298703 0.517369i
\(761\) 5.17841e6 + 8.96927e6i 0.324142 + 0.561430i 0.981338 0.192289i \(-0.0615912\pi\)
−0.657196 + 0.753719i \(0.728258\pi\)
\(762\) −6.79430e6 −0.423894
\(763\) −9.74238e6 + 1.08799e7i −0.605834 + 0.676572i
\(764\) −3.04740e7 −1.88884
\(765\) 1.22960e6 + 2.12974e6i 0.0759647 + 0.131575i
\(766\) 1.44069e7 2.49535e7i 0.887153 1.53659i
\(767\) −2.96653e6 + 5.13818e6i −0.182079 + 0.315371i
\(768\) 4.99339e6 + 8.64881e6i 0.305487 + 0.529119i
\(769\) −1.81548e7 −1.10707 −0.553534 0.832826i \(-0.686721\pi\)
−0.553534 + 0.832826i \(0.686721\pi\)