Properties

Label 21.6.e.c.16.2
Level $21$
Weight $6$
Character 21.16
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 16.2
Root \(-0.874091 + 1.51397i\) of defining polynomial
Character \(\chi\) \(=\) 21.16
Dual form 21.6.e.c.4.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.37409 + 2.37999i) q^{2} +(-4.50000 - 7.79423i) q^{3} +(12.2237 + 21.1722i) q^{4} +(-29.1836 + 50.5475i) q^{5} +24.7336 q^{6} +(-21.4366 + 127.857i) q^{7} -155.128 q^{8} +(-40.5000 + 70.1481i) q^{9} +O(q^{10})\) \(q+(-1.37409 + 2.37999i) q^{2} +(-4.50000 - 7.79423i) q^{3} +(12.2237 + 21.1722i) q^{4} +(-29.1836 + 50.5475i) q^{5} +24.7336 q^{6} +(-21.4366 + 127.857i) q^{7} -155.128 q^{8} +(-40.5000 + 70.1481i) q^{9} +(-80.2019 - 138.914i) q^{10} +(-8.71205 - 15.0897i) q^{11} +(110.014 - 190.549i) q^{12} +889.933 q^{13} +(-274.844 - 226.706i) q^{14} +525.305 q^{15} +(-178.000 + 308.305i) q^{16} +(-513.318 - 889.092i) q^{17} +(-111.301 - 192.780i) q^{18} +(869.702 - 1506.37i) q^{19} -1426.93 q^{20} +(1093.01 - 408.276i) q^{21} +47.8846 q^{22} +(-1968.11 + 3408.87i) q^{23} +(698.076 + 1209.10i) q^{24} +(-140.869 - 243.993i) q^{25} +(-1222.85 + 2118.04i) q^{26} +729.000 q^{27} +(-2969.05 + 1109.04i) q^{28} +5633.53 q^{29} +(-721.817 + 1250.22i) q^{30} +(1548.27 + 2681.68i) q^{31} +(-2971.22 - 5146.31i) q^{32} +(-78.4084 + 135.807i) q^{33} +2821.38 q^{34} +(-5837.27 - 4814.91i) q^{35} -1980.25 q^{36} +(-2513.43 + 4353.39i) q^{37} +(2390.10 + 4139.77i) q^{38} +(-4004.70 - 6936.34i) q^{39} +(4527.20 - 7841.34i) q^{40} +18367.0 q^{41} +(-530.205 + 3162.37i) q^{42} -1630.91 q^{43} +(212.988 - 368.906i) q^{44} +(-2363.87 - 4094.35i) q^{45} +(-5408.72 - 9368.19i) q^{46} +(4802.62 - 8318.38i) q^{47} +3204.00 q^{48} +(-15887.9 - 5481.65i) q^{49} +774.269 q^{50} +(-4619.86 + 8001.83i) q^{51} +(10878.3 + 18841.8i) q^{52} +(11628.3 + 20140.7i) q^{53} +(-1001.71 + 1735.02i) q^{54} +1017.00 q^{55} +(3325.41 - 19834.2i) q^{56} -15654.6 q^{57} +(-7740.98 + 13407.8i) q^{58} +(1801.62 + 3120.50i) q^{59} +(6421.20 + 11121.8i) q^{60} +(-11438.3 + 19811.7i) q^{61} -8509.83 q^{62} +(-8100.75 - 6681.95i) q^{63} +4938.92 q^{64} +(-25971.5 + 44983.9i) q^{65} +(-215.481 - 373.223i) q^{66} +(-23506.4 - 40714.2i) q^{67} +(12549.3 - 21736.1i) q^{68} +35426.0 q^{69} +(19480.4 - 7276.56i) q^{70} -1599.63 q^{71} +(6282.68 - 10881.9i) q^{72} +(-2965.67 - 5136.70i) q^{73} +(-6907.36 - 11963.9i) q^{74} +(-1267.82 + 2195.93i) q^{75} +42524.1 q^{76} +(2116.09 - 790.427i) q^{77} +22011.3 q^{78} +(44234.4 - 76616.3i) q^{79} +(-10389.4 - 17994.9i) q^{80} +(-3280.50 - 5681.99i) q^{81} +(-25237.9 + 43713.3i) q^{82} -95823.9 q^{83} +(22004.8 + 18150.8i) q^{84} +59921.9 q^{85} +(2241.02 - 3881.56i) q^{86} +(-25350.9 - 43909.0i) q^{87} +(1351.48 + 2340.84i) q^{88} +(23253.9 - 40277.0i) q^{89} +12992.7 q^{90} +(-19077.1 + 113784. i) q^{91} -96230.8 q^{92} +(13934.4 - 24135.1i) q^{93} +(13198.5 + 22860.4i) q^{94} +(50762.1 + 87922.5i) q^{95} +(-26741.0 + 46316.8i) q^{96} -75981.8 q^{97} +(34877.8 - 30281.0i) q^{98} +1411.35 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 \(\left(\mathbb{Z}/21\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.37409 + 2.37999i −0.242907 + 0.420728i −0.961541 0.274661i \(-0.911434\pi\)
0.718634 + 0.695389i \(0.244768\pi\)
\(3\) −4.50000 7.79423i −0.288675 0.500000i
\(4\) 12.2237 + 21.1722i 0.381992 + 0.661630i
\(5\) −29.1836 + 50.5475i −0.522053 + 0.904222i 0.477618 + 0.878568i \(0.341500\pi\)
−0.999671 + 0.0256544i \(0.991833\pi\)
\(6\) 24.7336 0.280485
\(7\) −21.4366 + 127.857i −0.165352 + 0.986235i
\(8\) −155.128 −0.856969
\(9\) −40.5000 + 70.1481i −0.166667 + 0.288675i
\(10\) −80.2019 138.914i −0.253621 0.439284i
\(11\) −8.71205 15.0897i −0.0217089 0.0376010i 0.854967 0.518683i \(-0.173577\pi\)
−0.876676 + 0.481082i \(0.840244\pi\)
\(12\) 110.014 190.549i 0.220543 0.381992i
\(13\) 889.933 1.46049 0.730246 0.683185i \(-0.239406\pi\)
0.730246 + 0.683185i \(0.239406\pi\)
\(14\) −274.844 226.706i −0.374771 0.309132i
\(15\) 525.305 0.602815
\(16\) −178.000 + 308.305i −0.173828 + 0.301079i
\(17\) −513.318 889.092i −0.430788 0.746147i 0.566153 0.824300i \(-0.308431\pi\)
−0.996941 + 0.0781529i \(0.975098\pi\)
\(18\) −111.301 192.780i −0.0809691 0.140243i
\(19\) 869.702 1506.37i 0.552696 0.957297i −0.445383 0.895340i \(-0.646932\pi\)
0.998079 0.0619572i \(-0.0197342\pi\)
\(20\) −1426.93 −0.797680
\(21\) 1093.01 408.276i 0.540850 0.202025i
\(22\) 47.8846 0.0210930
\(23\) −1968.11 + 3408.87i −0.775764 + 1.34366i 0.158599 + 0.987343i \(0.449302\pi\)
−0.934364 + 0.356320i \(0.884031\pi\)
\(24\) 698.076 + 1209.10i 0.247386 + 0.428485i
\(25\) −140.869 243.993i −0.0450782 0.0780777i
\(26\) −1222.85 + 2118.04i −0.354764 + 0.614469i
\(27\) 729.000 0.192450
\(28\) −2969.05 + 1109.04i −0.715686 + 0.267332i
\(29\) 5633.53 1.24390 0.621950 0.783057i \(-0.286341\pi\)
0.621950 + 0.783057i \(0.286341\pi\)
\(30\) −721.817 + 1250.22i −0.146428 + 0.253621i
\(31\) 1548.27 + 2681.68i 0.289362 + 0.501190i 0.973658 0.228015i \(-0.0732236\pi\)
−0.684296 + 0.729205i \(0.739890\pi\)
\(32\) −2971.22 5146.31i −0.512933 0.888426i
\(33\) −78.4084 + 135.807i −0.0125337 + 0.0217089i
\(34\) 2821.38 0.418566
\(35\) −5837.27 4814.91i −0.805452 0.664382i
\(36\) −1980.25 −0.254661
\(37\) −2513.43 + 4353.39i −0.301830 + 0.522785i −0.976551 0.215288i \(-0.930931\pi\)
0.674720 + 0.738073i \(0.264264\pi\)
\(38\) 2390.10 + 4139.77i 0.268508 + 0.465069i
\(39\) −4004.70 6936.34i −0.421608 0.730246i
\(40\) 4527.20 7841.34i 0.447383 0.774890i
\(41\) 18367.0 1.70639 0.853195 0.521592i \(-0.174662\pi\)
0.853195 + 0.521592i \(0.174662\pi\)
\(42\) −530.205 + 3162.37i −0.0463789 + 0.276624i
\(43\) −1630.91 −0.134511 −0.0672557 0.997736i \(-0.521424\pi\)
−0.0672557 + 0.997736i \(0.521424\pi\)
\(44\) 212.988 368.906i 0.0165853 0.0287266i
\(45\) −2363.87 4094.35i −0.174018 0.301407i
\(46\) −5408.72 9368.19i −0.376878 0.652771i
\(47\) 4802.62 8318.38i 0.317127 0.549280i −0.662760 0.748832i \(-0.730615\pi\)
0.979887 + 0.199551i \(0.0639485\pi\)
\(48\) 3204.00 0.200720
\(49\) −15887.9 5481.65i −0.945317 0.326153i
\(50\) 774.269 0.0437992
\(51\) −4619.86 + 8001.83i −0.248716 + 0.430788i
\(52\) 10878.3 + 18841.8i 0.557896 + 0.966305i
\(53\) 11628.3 + 20140.7i 0.568624 + 0.984886i 0.996702 + 0.0811440i \(0.0258574\pi\)
−0.428078 + 0.903742i \(0.640809\pi\)
\(54\) −1001.71 + 1735.02i −0.0467475 + 0.0809691i
\(55\) 1017.00 0.0453328
\(56\) 3325.41 19834.2i 0.141702 0.845172i
\(57\) −15654.6 −0.638198
\(58\) −7740.98 + 13407.8i −0.302152 + 0.523343i
\(59\) 1801.62 + 3120.50i 0.0673803 + 0.116706i 0.897747 0.440511i \(-0.145203\pi\)
−0.830367 + 0.557217i \(0.811869\pi\)
\(60\) 6421.20 + 11121.8i 0.230270 + 0.398840i
\(61\) −11438.3 + 19811.7i −0.393584 + 0.681707i −0.992919 0.118791i \(-0.962098\pi\)
0.599336 + 0.800498i \(0.295431\pi\)
\(62\) −8509.83 −0.281152
\(63\) −8100.75 6681.95i −0.257143 0.212106i
\(64\) 4938.92 0.150724
\(65\) −25971.5 + 44983.9i −0.762454 + 1.32061i
\(66\) −215.481 373.223i −0.00608903 0.0105465i
\(67\) −23506.4 40714.2i −0.639733 1.10805i −0.985491 0.169726i \(-0.945712\pi\)
0.345758 0.938324i \(-0.387622\pi\)
\(68\) 12549.3 21736.1i 0.329116 0.570045i
\(69\) 35426.0 0.895776
\(70\) 19480.4 7276.56i 0.475174 0.177493i
\(71\) −1599.63 −0.0376595 −0.0188298 0.999823i \(-0.505994\pi\)
−0.0188298 + 0.999823i \(0.505994\pi\)
\(72\) 6282.68 10881.9i 0.142828 0.247386i
\(73\) −2965.67 5136.70i −0.0651353 0.112818i 0.831619 0.555347i \(-0.187415\pi\)
−0.896754 + 0.442529i \(0.854081\pi\)
\(74\) −6907.36 11963.9i −0.146633 0.253976i
\(75\) −1267.82 + 2195.93i −0.0260259 + 0.0450782i
\(76\) 42524.1 0.844502
\(77\) 2116.09 790.427i 0.0406730 0.0151927i
\(78\) 22011.3 0.409646
\(79\) 44234.4 76616.3i 0.797431 1.38119i −0.123854 0.992300i \(-0.539525\pi\)
0.921284 0.388890i \(-0.127141\pi\)
\(80\) −10389.4 17994.9i −0.181495 0.314359i
\(81\) −3280.50 5681.99i −0.0555556 0.0962250i
\(82\) −25237.9 + 43713.3i −0.414495 + 0.717926i
\(83\) −95823.9 −1.52679 −0.763394 0.645933i \(-0.776469\pi\)
−0.763394 + 0.645933i \(0.776469\pi\)
\(84\) 22004.8 + 18150.8i 0.340267 + 0.280671i
\(85\) 59921.9 0.899577
\(86\) 2241.02 3881.56i 0.0326738 0.0565927i
\(87\) −25350.9 43909.0i −0.359083 0.621950i
\(88\) 1351.48 + 2340.84i 0.0186039 + 0.0322229i
\(89\) 23253.9 40277.0i 0.311187 0.538992i −0.667433 0.744670i \(-0.732607\pi\)
0.978620 + 0.205679i \(0.0659401\pi\)
\(90\) 12992.7 0.169081
\(91\) −19077.1 + 113784.i −0.241496 + 1.44039i
\(92\) −96230.8 −1.18534
\(93\) 13934.4 24135.1i 0.167063 0.289362i
\(94\) 13198.5 + 22860.4i 0.154065 + 0.266848i
\(95\) 50762.1 + 87922.5i 0.577073 + 0.999519i
\(96\) −26741.0 + 46316.8i −0.296142 + 0.512933i
\(97\) −75981.8 −0.819937 −0.409968 0.912100i \(-0.634460\pi\)
−0.409968 + 0.912100i \(0.634460\pi\)
\(98\) 34877.8 30281.0i 0.366846 0.318496i
\(99\) 1411.35 0.0144726
\(100\) 3443.90 5965.01i 0.0344390 0.0596501i
\(101\) 23078.7 + 39973.5i 0.225117 + 0.389914i 0.956355 0.292209i \(-0.0943903\pi\)
−0.731238 + 0.682123i \(0.761057\pi\)
\(102\) −12696.2 21990.5i −0.120830 0.209283i
\(103\) 40986.8 70991.2i 0.380672 0.659343i −0.610487 0.792027i \(-0.709026\pi\)
0.991158 + 0.132683i \(0.0423594\pi\)
\(104\) −138054. −1.25160
\(105\) −11260.8 + 67164.1i −0.0996769 + 0.594517i
\(106\) −63913.2 −0.552491
\(107\) 1426.84 2471.35i 0.0120480 0.0208677i −0.859939 0.510398i \(-0.829498\pi\)
0.871987 + 0.489530i \(0.162832\pi\)
\(108\) 8911.11 + 15434.5i 0.0735144 + 0.127331i
\(109\) 83139.2 + 144001.i 0.670254 + 1.16091i 0.977832 + 0.209391i \(0.0671483\pi\)
−0.307578 + 0.951523i \(0.599518\pi\)
\(110\) −1397.45 + 2420.45i −0.0110117 + 0.0190728i
\(111\) 45241.7 0.348523
\(112\) −35603.3 29367.6i −0.268192 0.221220i
\(113\) 260304. 1.91772 0.958858 0.283886i \(-0.0916237\pi\)
0.958858 + 0.283886i \(0.0916237\pi\)
\(114\) 21510.9 37257.9i 0.155023 0.268508i
\(115\) −114873. 198966.i −0.809980 1.40293i
\(116\) 68862.8 + 119274.i 0.475160 + 0.823001i
\(117\) −36042.3 + 62427.1i −0.243415 + 0.421608i
\(118\) −9902.35 −0.0654687
\(119\) 124681. 46572.3i 0.807108 0.301481i
\(120\) −81489.6 −0.516593
\(121\) 80373.7 139211.i 0.499057 0.864393i
\(122\) −31434.5 54446.2i −0.191209 0.331183i
\(123\) −82651.5 143157.i −0.492592 0.853195i
\(124\) −37851.2 + 65560.3i −0.221068 + 0.382901i
\(125\) −165953. −0.949973
\(126\) 27034.2 10098.1i 0.151700 0.0566651i
\(127\) −233743. −1.28596 −0.642982 0.765882i \(-0.722303\pi\)
−0.642982 + 0.765882i \(0.722303\pi\)
\(128\) 88292.6 152927.i 0.476321 0.825012i
\(129\) 7339.10 + 12711.7i 0.0388301 + 0.0672557i
\(130\) −71374.4 123624.i −0.370411 0.641571i
\(131\) 78644.9 136217.i 0.400398 0.693510i −0.593376 0.804926i \(-0.702205\pi\)
0.993774 + 0.111415i \(0.0355384\pi\)
\(132\) −3833.78 −0.0191510
\(133\) 173957. + 143489.i 0.852730 + 0.703379i
\(134\) 129200. 0.621583
\(135\) −21274.9 + 36849.2i −0.100469 + 0.174018i
\(136\) 79629.9 + 137923.i 0.369172 + 0.639425i
\(137\) 85773.8 + 148564.i 0.390439 + 0.676260i 0.992507 0.122185i \(-0.0389900\pi\)
−0.602069 + 0.798444i \(0.705657\pi\)
\(138\) −48678.5 + 84313.7i −0.217590 + 0.376878i
\(139\) 210625. 0.924642 0.462321 0.886713i \(-0.347017\pi\)
0.462321 + 0.886713i \(0.347017\pi\)
\(140\) 30588.6 182444.i 0.131898 0.786700i
\(141\) −86447.1 −0.366187
\(142\) 2198.04 3807.12i 0.00914777 0.0158444i
\(143\) −7753.14 13428.8i −0.0317057 0.0549159i
\(144\) −14418.0 24972.7i −0.0579427 0.100360i
\(145\) −164407. + 284761.i −0.649381 + 1.12476i
\(146\) 16300.4 0.0632873
\(147\) 28770.6 + 148502.i 0.109813 + 0.566811i
\(148\) −122894. −0.461187
\(149\) −119706. + 207338.i −0.441725 + 0.765090i −0.997818 0.0660304i \(-0.978967\pi\)
0.556093 + 0.831120i \(0.312300\pi\)
\(150\) −3484.21 6034.83i −0.0126438 0.0218996i
\(151\) −108520. 187962.i −0.387317 0.670852i 0.604771 0.796400i \(-0.293265\pi\)
−0.992088 + 0.125547i \(0.959931\pi\)
\(152\) −134915. + 233680.i −0.473643 + 0.820374i
\(153\) 83157.5 0.287192
\(154\) −1026.48 + 6122.39i −0.00348778 + 0.0208027i
\(155\) −180736. −0.604249
\(156\) 97904.9 169576.i 0.322102 0.557896i
\(157\) −83452.2 144543.i −0.270202 0.468004i 0.698711 0.715404i \(-0.253757\pi\)
−0.968913 + 0.247400i \(0.920424\pi\)
\(158\) 121564. + 210556.i 0.387403 + 0.671002i
\(159\) 104654. 181267.i 0.328295 0.568624i
\(160\) 346844. 1.07111
\(161\) −393659. 324712.i −1.19689 0.987264i
\(162\) 18030.8 0.0539794
\(163\) −253086. + 438358.i −0.746104 + 1.29229i 0.203574 + 0.979060i \(0.434744\pi\)
−0.949677 + 0.313230i \(0.898589\pi\)
\(164\) 224514. + 388869.i 0.651828 + 1.12900i
\(165\) −4576.49 7926.71i −0.0130865 0.0226664i
\(166\) 131671. 228061.i 0.370868 0.642362i
\(167\) −565560. −1.56923 −0.784616 0.619982i \(-0.787140\pi\)
−0.784616 + 0.619982i \(0.787140\pi\)
\(168\) −169557. + 63335.0i −0.463492 + 0.173129i
\(169\) 420688. 1.13304
\(170\) −82338.1 + 142614.i −0.218514 + 0.378477i
\(171\) 70445.8 + 122016.i 0.184232 + 0.319099i
\(172\) −19935.9 34529.9i −0.0513823 0.0889968i
\(173\) 329718. 571088.i 0.837581 1.45073i −0.0543304 0.998523i \(-0.517302\pi\)
0.891911 0.452210i \(-0.149364\pi\)
\(174\) 139338. 0.348895
\(175\) 34216.0 12780.8i 0.0844567 0.0315473i
\(176\) 6202.98 0.0150945
\(177\) 16214.6 28084.5i 0.0389020 0.0673803i
\(178\) 63906.0 + 110688.i 0.151179 + 0.261850i
\(179\) −82645.0 143145.i −0.192790 0.333922i 0.753384 0.657581i \(-0.228420\pi\)
−0.946174 + 0.323659i \(0.895087\pi\)
\(180\) 57790.8 100097.i 0.132947 0.230270i
\(181\) 148492. 0.336904 0.168452 0.985710i \(-0.446123\pi\)
0.168452 + 0.985710i \(0.446123\pi\)
\(182\) −244593. 201754.i −0.547350 0.451484i
\(183\) 205889. 0.454471
\(184\) 305309. 528811.i 0.664806 1.15148i
\(185\) −146702. 254095.i −0.315142 0.545843i
\(186\) 38294.2 + 66327.6i 0.0811617 + 0.140576i
\(187\) −8944.10 + 15491.6i −0.0187039 + 0.0323961i
\(188\) 234824. 0.484560
\(189\) −15627.3 + 93207.9i −0.0318221 + 0.189801i
\(190\) −279007. −0.560701
\(191\) −192955. + 334208.i −0.382713 + 0.662879i −0.991449 0.130494i \(-0.958344\pi\)
0.608736 + 0.793373i \(0.291677\pi\)
\(192\) −22225.1 38495.1i −0.0435102 0.0753619i
\(193\) −248148. 429805.i −0.479531 0.830573i 0.520193 0.854049i \(-0.325860\pi\)
−0.999724 + 0.0234760i \(0.992527\pi\)
\(194\) 104406. 180836.i 0.199169 0.344970i
\(195\) 467487. 0.880406
\(196\) −78152.0 403388.i −0.145312 0.750038i
\(197\) 441439. 0.810411 0.405206 0.914226i \(-0.367200\pi\)
0.405206 + 0.914226i \(0.367200\pi\)
\(198\) −1939.33 + 3359.01i −0.00351551 + 0.00608903i
\(199\) 37919.4 + 65678.3i 0.0678779 + 0.117568i 0.897967 0.440063i \(-0.145044\pi\)
−0.830089 + 0.557631i \(0.811710\pi\)
\(200\) 21852.8 + 37850.1i 0.0386306 + 0.0669102i
\(201\) −211557. + 366428.i −0.369350 + 0.639733i
\(202\) −126849. −0.218730
\(203\) −120764. + 720287.i −0.205682 + 1.22678i
\(204\) −225888. −0.380030
\(205\) −536016. + 928406.i −0.890826 + 1.54296i
\(206\) 112639. + 195097.i 0.184936 + 0.320318i
\(207\) −159417. 276118.i −0.258588 0.447888i
\(208\) −158408. + 274371.i −0.253875 + 0.439724i
\(209\) −30307.5 −0.0479938
\(210\) −144377. 119090.i −0.225917 0.186349i
\(211\) 778704. 1.20411 0.602055 0.798454i \(-0.294349\pi\)
0.602055 + 0.798454i \(0.294349\pi\)
\(212\) −284282. + 492391.i −0.434420 + 0.752437i
\(213\) 7198.35 + 12467.9i 0.0108714 + 0.0188298i
\(214\) 3921.21 + 6791.73i 0.00585309 + 0.0101379i
\(215\) 47595.9 82438.6i 0.0702221 0.121628i
\(216\) −113088. −0.164924
\(217\) −376061. + 140471.i −0.542137 + 0.202506i
\(218\) −456963. −0.651238
\(219\) −26691.1 + 46230.3i −0.0376059 + 0.0651353i
\(220\) 12431.5 + 21532.0i 0.0173168 + 0.0299936i
\(221\) −456818. 791233.i −0.629163 1.08974i
\(222\) −62166.3 + 107675.i −0.0846588 + 0.146633i
\(223\) 738085. 0.993903 0.496951 0.867778i \(-0.334453\pi\)
0.496951 + 0.867778i \(0.334453\pi\)
\(224\) 721686. 269573.i 0.961011 0.358969i
\(225\) 22820.8 0.0300521
\(226\) −357681. + 619522.i −0.465827 + 0.806836i
\(227\) 272058. + 471218.i 0.350426 + 0.606956i 0.986324 0.164817i \(-0.0527035\pi\)
−0.635898 + 0.771773i \(0.719370\pi\)
\(228\) −191358. 331442.i −0.243787 0.422251i
\(229\) 116781. 202271.i 0.147158 0.254885i −0.783018 0.621999i \(-0.786321\pi\)
0.930176 + 0.367114i \(0.119654\pi\)
\(230\) 631385. 0.787000
\(231\) −15683.2 12936.3i −0.0193376 0.0159508i
\(232\) −873917. −1.06598
\(233\) 309050. 535290.i 0.372940 0.645951i −0.617077 0.786903i \(-0.711683\pi\)
0.990016 + 0.140952i \(0.0450164\pi\)
\(234\) −99050.8 171561.i −0.118255 0.204823i
\(235\) 280316. + 485521.i 0.331114 + 0.573506i
\(236\) −44045.1 + 76288.3i −0.0514775 + 0.0891617i
\(237\) −796220. −0.920794
\(238\) −60480.8 + 360734.i −0.0692110 + 0.412805i
\(239\) 937500. 1.06164 0.530819 0.847485i \(-0.321884\pi\)
0.530819 + 0.847485i \(0.321884\pi\)
\(240\) −93504.4 + 161954.i −0.104786 + 0.181495i
\(241\) −466018. 807167.i −0.516845 0.895202i −0.999809 0.0195613i \(-0.993773\pi\)
0.482964 0.875640i \(-0.339560\pi\)
\(242\) 220882. + 382578.i 0.242449 + 0.419935i
\(243\) −29524.5 + 51137.9i −0.0320750 + 0.0555556i
\(244\) −559276. −0.601383
\(245\) 740752. 643122.i 0.788420 0.684508i
\(246\) 454282. 0.478617
\(247\) 773976. 1.34057e6i 0.807208 1.39812i
\(248\) −240179. 416003.i −0.247974 0.429504i
\(249\) 431208. + 746874.i 0.440746 + 0.763394i
\(250\) 228035. 394968.i 0.230755 0.399680i
\(251\) 214975. 0.215379 0.107690 0.994185i \(-0.465655\pi\)
0.107690 + 0.994185i \(0.465655\pi\)
\(252\) 42449.7 253189.i 0.0421089 0.251156i
\(253\) 68585.1 0.0673641
\(254\) 321184. 556306.i 0.312370 0.541040i
\(255\) −269649. 467045.i −0.259685 0.449788i
\(256\) 321667. + 557143.i 0.306765 + 0.531333i
\(257\) −39593.5 + 68578.0i −0.0373931 + 0.0647667i −0.884116 0.467267i \(-0.845239\pi\)
0.846723 + 0.532034i \(0.178572\pi\)
\(258\) −40338.4 −0.0377285
\(259\) −502733. 414682.i −0.465680 0.384119i
\(260\) −1.26988e6 −1.16501
\(261\) −228158. + 395181.i −0.207317 + 0.359083i
\(262\) 216130. + 374349.i 0.194519 + 0.336917i
\(263\) 216414. + 374840.i 0.192928 + 0.334162i 0.946219 0.323526i \(-0.104868\pi\)
−0.753291 + 0.657687i \(0.771535\pi\)
\(264\) 12163.3 21067.5i 0.0107410 0.0186039i
\(265\) −1.35742e6 −1.18741
\(266\) −580535. + 216849.i −0.503065 + 0.187911i
\(267\) −418571. −0.359328
\(268\) 574672. 995361.i 0.488746 0.846533i
\(269\) 2345.93 + 4063.27i 0.00197667 + 0.00342369i 0.867012 0.498287i \(-0.166037\pi\)
−0.865035 + 0.501711i \(0.832704\pi\)
\(270\) −58467.2 101268.i −0.0488093 0.0845403i
\(271\) −52632.1 + 91161.5i −0.0435339 + 0.0754029i −0.886971 0.461825i \(-0.847195\pi\)
0.843437 + 0.537227i \(0.180528\pi\)
\(272\) 365482. 0.299533
\(273\) 972709. 363338.i 0.789907 0.295056i
\(274\) −471444. −0.379362
\(275\) −2454.52 + 4251.35i −0.00195720 + 0.00338997i
\(276\) 433038. + 750045.i 0.342179 + 0.592672i
\(277\) 381558. + 660879.i 0.298787 + 0.517514i 0.975859 0.218403i \(-0.0700847\pi\)
−0.677072 + 0.735917i \(0.736751\pi\)
\(278\) −289418. + 501287.i −0.224602 + 0.389023i
\(279\) −250819. −0.192908
\(280\) 905524. + 746927.i 0.690248 + 0.569355i
\(281\) −729540. −0.551167 −0.275584 0.961277i \(-0.588871\pi\)
−0.275584 + 0.961277i \(0.588871\pi\)
\(282\) 118786. 205744.i 0.0889494 0.154065i
\(283\) 595214. + 1.03094e6i 0.441781 + 0.765188i 0.997822 0.0659675i \(-0.0210134\pi\)
−0.556040 + 0.831155i \(0.687680\pi\)
\(284\) −19553.5 33867.7i −0.0143856 0.0249167i
\(285\) 456859. 791303.i 0.333173 0.577073i
\(286\) 42614.1 0.0308062
\(287\) −393726. + 2.34835e6i −0.282156 + 1.68290i
\(288\) 481338. 0.341955
\(289\) 182938. 316859.i 0.128843 0.223162i
\(290\) −451820. 782575.i −0.315479 0.546425i
\(291\) 341918. + 592220.i 0.236695 + 0.409968i
\(292\) 72503.3 125579.i 0.0497623 0.0861909i
\(293\) −1.02503e6 −0.697537 −0.348769 0.937209i \(-0.613400\pi\)
−0.348769 + 0.937209i \(0.613400\pi\)
\(294\) −392967. 135581.i −0.265147 0.0914809i
\(295\) −210311. −0.140704
\(296\) 389903. 675332.i 0.258659 0.448011i
\(297\) −6351.08 11000.4i −0.00417789 0.00723631i
\(298\) −328975. 569801.i −0.214596 0.371692i
\(299\) −1.75149e6 + 3.03366e6i −1.13300 + 1.96241i
\(300\) −61990.2 −0.0397667
\(301\) 34961.2 208524.i 0.0222418 0.132660i
\(302\) 596464. 0.376328
\(303\) 207708. 359762.i 0.129971 0.225117i
\(304\) 309614. + 536267.i 0.192148 + 0.332811i
\(305\) −667623. 1.15636e6i −0.410943 0.711774i
\(306\) −114266. + 197914.i −0.0697611 + 0.120830i
\(307\) −709845. −0.429850 −0.214925 0.976631i \(-0.568951\pi\)
−0.214925 + 0.976631i \(0.568951\pi\)
\(308\) 42601.5 + 35140.1i 0.0255887 + 0.0211070i
\(309\) −737762. −0.439562
\(310\) 248348. 430151.i 0.146776 0.254224i
\(311\) −783816. 1.35761e6i −0.459529 0.795928i 0.539407 0.842045i \(-0.318648\pi\)
−0.998936 + 0.0461175i \(0.985315\pi\)
\(312\) 621241. + 1.07602e6i 0.361305 + 0.625798i
\(313\) −186476. + 322986.i −0.107588 + 0.186347i −0.914792 0.403924i \(-0.867646\pi\)
0.807205 + 0.590271i \(0.200979\pi\)
\(314\) 458684. 0.262536
\(315\) 574166. 214470.i 0.326033 0.121784i
\(316\) 2.16284e6 1.21845
\(317\) 1.51408e6 2.62246e6i 0.846253 1.46575i −0.0382747 0.999267i \(-0.512186\pi\)
0.884528 0.466487i \(-0.154480\pi\)
\(318\) 287609. + 498154.i 0.159491 + 0.276246i
\(319\) −49079.6 85008.3i −0.0270037 0.0467719i
\(320\) −144136. + 249650.i −0.0786858 + 0.136288i
\(321\) −25683.1 −0.0139118
\(322\) 1.31373e6 490723.i 0.706103 0.263752i
\(323\) −1.78573e6 −0.952380
\(324\) 80200.0 138911.i 0.0424436 0.0735144i
\(325\) −125364. 217137.i −0.0658363 0.114032i
\(326\) −695526. 1.20469e6i −0.362468 0.627813i
\(327\) 748253. 1.29601e6i 0.386971 0.670254i
\(328\) −2.84923e6 −1.46232
\(329\) 960613. + 792367.i 0.489281 + 0.403586i
\(330\) 25154.0 0.0127152
\(331\) −533448. + 923959.i −0.267622 + 0.463535i −0.968247 0.249995i \(-0.919571\pi\)
0.700625 + 0.713529i \(0.252905\pi\)
\(332\) −1.17133e6 2.02880e6i −0.583221 1.01017i
\(333\) −203588. 352624.i −0.100610 0.174262i
\(334\) 777130. 1.34603e6i 0.381178 0.660219i
\(335\) 2.74401e6 1.33590
\(336\) −68682.9 + 409655.i −0.0331895 + 0.197957i
\(337\) 1.55734e6 0.746981 0.373490 0.927634i \(-0.378161\pi\)
0.373490 + 0.927634i \(0.378161\pi\)
\(338\) −578064. + 1.00124e6i −0.275222 + 0.476699i
\(339\) −1.17137e6 2.02887e6i −0.553597 0.958858i
\(340\) 732470. + 1.26868e6i 0.343631 + 0.595187i
\(341\) 26977.1 46725.8i 0.0125635 0.0217606i
\(342\) −387196. −0.179005
\(343\) 1.04145e6 1.91388e6i 0.477973 0.878374i
\(344\) 253000. 0.115272
\(345\) −1.03386e6 + 1.79070e6i −0.467642 + 0.809980i
\(346\) 906124. + 1.56945e6i 0.406909 + 0.704787i
\(347\) 1.11748e6 + 1.93553e6i 0.498214 + 0.862932i 0.999998 0.00206105i \(-0.000656052\pi\)
−0.501784 + 0.864993i \(0.667323\pi\)
\(348\) 619765. 1.07347e6i 0.274334 0.475160i
\(349\) −1.72982e6 −0.760218 −0.380109 0.924942i \(-0.624114\pi\)
−0.380109 + 0.924942i \(0.624114\pi\)
\(350\) −16597.7 + 98995.8i −0.00724231 + 0.0431963i
\(351\) 648761. 0.281072
\(352\) −51770.9 + 89669.8i −0.0222705 + 0.0385736i
\(353\) 1.18287e6 + 2.04879e6i 0.505242 + 0.875105i 0.999982 + 0.00606386i \(0.00193020\pi\)
−0.494739 + 0.869041i \(0.664736\pi\)
\(354\) 44560.6 + 77181.2i 0.0188992 + 0.0327343i
\(355\) 46683.1 80857.6i 0.0196603 0.0340526i
\(356\) 1.13700e6 0.475484
\(357\) −924058. 762214.i −0.383733 0.316524i
\(358\) 454247. 0.187320
\(359\) −25514.3 + 44192.1i −0.0104484 + 0.0180971i −0.871202 0.490924i \(-0.836659\pi\)
0.860754 + 0.509021i \(0.169993\pi\)
\(360\) 366703. + 635148.i 0.149128 + 0.258297i
\(361\) −274712. 475815.i −0.110945 0.192163i
\(362\) −204041. + 353410.i −0.0818364 + 0.141745i
\(363\) −1.44673e6 −0.576262
\(364\) −2.64226e6 + 986968.i −1.04525 + 0.390436i
\(365\) 346197. 0.136016
\(366\) −282911. + 490016.i −0.110394 + 0.191209i
\(367\) −1.88411e6 3.26338e6i −0.730200 1.26474i −0.956797 0.290755i \(-0.906093\pi\)
0.226597 0.973989i \(-0.427240\pi\)
\(368\) −700648. 1.21356e6i −0.269699 0.467133i
\(369\) −743863. + 1.28841e6i −0.284398 + 0.492592i
\(370\) 806328. 0.306201
\(371\) −2.82441e6 + 1.05501e6i −1.06535 + 0.397943i
\(372\) 681322. 0.255267
\(373\) −2.31720e6 + 4.01351e6i −0.862366 + 1.49366i 0.00727258 + 0.999974i \(0.497685\pi\)
−0.869639 + 0.493689i \(0.835648\pi\)
\(374\) −24580.0 42573.8i −0.00908663 0.0157385i
\(375\) 746790. + 1.29348e6i 0.274234 + 0.474986i
\(376\) −745020. + 1.29041e6i −0.271768 + 0.470716i
\(377\) 5.01346e6 1.81670
\(378\) −200361. 165269.i −0.0721247 0.0594924i
\(379\) −4.17169e6 −1.49181 −0.745905 0.666052i \(-0.767983\pi\)
−0.745905 + 0.666052i \(0.767983\pi\)
\(380\) −1.24101e6 + 2.14949e6i −0.440875 + 0.763617i
\(381\) 1.05184e6 + 1.82184e6i 0.371226 + 0.642982i
\(382\) −530276. 918465.i −0.185928 0.322036i
\(383\) 2.08586e6 3.61281e6i 0.726588 1.25849i −0.231730 0.972780i \(-0.574438\pi\)
0.958317 0.285706i \(-0.0922282\pi\)
\(384\) −1.58927e6 −0.550008
\(385\) −21800.9 + 130030.i −0.00749590 + 0.0447088i
\(386\) 1.36391e6 0.465927
\(387\) 66051.9 114405.i 0.0224186 0.0388301i
\(388\) −928783. 1.60870e6i −0.313209 0.542495i
\(389\) −1.37697e6 2.38498e6i −0.461371 0.799119i 0.537658 0.843163i \(-0.319309\pi\)
−0.999030 + 0.0440442i \(0.985976\pi\)
\(390\) −642369. + 1.11262e6i −0.213857 + 0.370411i
\(391\) 4.04106e6 1.33676
\(392\) 2.46466e6 + 850357.i 0.810108 + 0.279503i
\(393\) −1.41561e6 −0.462340
\(394\) −606578. + 1.05062e6i −0.196855 + 0.340962i
\(395\) 2.58184e6 + 4.47189e6i 0.832602 + 1.44211i
\(396\) 17252.0 + 29881.4i 0.00552843 + 0.00957552i
\(397\) 1.26602e6 2.19281e6i 0.403148 0.698274i −0.590956 0.806704i \(-0.701249\pi\)
0.994104 + 0.108430i \(0.0345825\pi\)
\(398\) −208419. −0.0659522
\(399\) 335582. 2.00156e6i 0.105528 0.629413i
\(400\) 100299. 0.0313434
\(401\) 1.07873e6 1.86842e6i 0.335007 0.580249i −0.648479 0.761232i \(-0.724595\pi\)
0.983486 + 0.180983i \(0.0579280\pi\)
\(402\) −581398. 1.00701e6i −0.179436 0.310791i
\(403\) 1.37785e6 + 2.38651e6i 0.422611 + 0.731983i
\(404\) −564217. + 977252.i −0.171986 + 0.297888i
\(405\) 382948. 0.116012
\(406\) −1.54834e6 1.27716e6i −0.466177 0.384529i
\(407\) 87588.5 0.0262096
\(408\) 716669. 1.24131e6i 0.213142 0.369172i
\(409\) 2.16402e6 + 3.74819e6i 0.639665 + 1.10793i 0.985506 + 0.169640i \(0.0542604\pi\)
−0.345841 + 0.938293i \(0.612406\pi\)
\(410\) −1.47307e6 2.55143e6i −0.432776 0.749590i
\(411\) 771964. 1.33708e6i 0.225420 0.390439i
\(412\) 2.00405e6 0.581655
\(413\) −437599. + 163457.i −0.126241 + 0.0471552i
\(414\) 876213. 0.251252
\(415\) 2.79649e6 4.84366e6i 0.797064 1.38056i
\(416\) −2.64419e6 4.57987e6i −0.749134 1.29754i
\(417\) −947814. 1.64166e6i −0.266921 0.462321i
\(418\) 41645.3 72131.8i 0.0116580 0.0201923i
\(419\) −1.51129e6 −0.420544 −0.210272 0.977643i \(-0.567435\pi\)
−0.210272 + 0.977643i \(0.567435\pi\)
\(420\) −1.55966e6 + 582583.i −0.431426 + 0.161152i
\(421\) 1.11586e6 0.306835 0.153418 0.988161i \(-0.450972\pi\)
0.153418 + 0.988161i \(0.450972\pi\)
\(422\) −1.07001e6 + 1.85331e6i −0.292487 + 0.506603i
\(423\) 389012. + 673788.i 0.105709 + 0.183093i
\(424\) −1.80387e6 3.12439e6i −0.487293 0.844016i
\(425\) −144621. + 250492.i −0.0388383 + 0.0672699i
\(426\) −39564.8 −0.0105629
\(427\) −2.28787e6 1.88717e6i −0.607243 0.500888i
\(428\) 69765.2 0.0184090
\(429\) −69778.3 + 120860.i −0.0183053 + 0.0317057i
\(430\) 130802. + 226556.i 0.0341149 + 0.0590887i
\(431\) −3.10672e6 5.38100e6i −0.805581 1.39531i −0.915898 0.401411i \(-0.868520\pi\)
0.110317 0.993896i \(-0.464813\pi\)
\(432\) −129762. + 224754.i −0.0334533 + 0.0579427i
\(433\) 3.24118e6 0.830775 0.415388 0.909644i \(-0.363646\pi\)
0.415388 + 0.909644i \(0.363646\pi\)
\(434\) 182422. 1.08804e6i 0.0464892 0.277282i
\(435\) 2.95932e6 0.749841
\(436\) −2.03255e6 + 3.52047e6i −0.512064 + 0.886920i
\(437\) 3.42334e6 + 5.92939e6i 0.857524 + 1.48527i
\(438\) −73351.9 127049.i −0.0182695 0.0316437i
\(439\) −1.15248e6 + 1.99616e6i −0.285413 + 0.494349i −0.972709 0.232028i \(-0.925464\pi\)
0.687297 + 0.726377i \(0.258797\pi\)
\(440\) −157765. −0.0388488
\(441\) 1.02799e6 892502.i 0.251705 0.218531i
\(442\) 2.51084e6 0.611313
\(443\) −766328. + 1.32732e6i −0.185526 + 0.321341i −0.943754 0.330649i \(-0.892732\pi\)
0.758228 + 0.651990i \(0.226066\pi\)
\(444\) 553024. + 957865.i 0.133133 + 0.230593i
\(445\) 1.35727e6 + 2.35086e6i 0.324912 + 0.562764i
\(446\) −1.01420e6 + 1.75664e6i −0.241426 + 0.418162i
\(447\) 2.15472e6 0.510060
\(448\) −105874. + 631476.i −0.0249226 + 0.148649i
\(449\) −3.55718e6 −0.832702 −0.416351 0.909204i \(-0.636691\pi\)
−0.416351 + 0.909204i \(0.636691\pi\)
\(450\) −31357.9 + 54313.4i −0.00729987 + 0.0126438i
\(451\) −160014. 277153.i −0.0370439 0.0641620i
\(452\) 3.18189e6 + 5.51119e6i 0.732553 + 1.26882i
\(453\) −976678. + 1.69166e6i −0.223617 + 0.387317i
\(454\) −1.49533e6 −0.340484
\(455\) −5.19478e6 4.28494e6i −1.17636 0.970324i
\(456\) 2.42847e6 0.546916
\(457\) −1.25941e6 + 2.18137e6i −0.282083 + 0.488583i −0.971898 0.235403i \(-0.924359\pi\)
0.689814 + 0.723986i \(0.257692\pi\)
\(458\) 320936. + 555877.i 0.0714915 + 0.123827i
\(459\) −374209. 648148.i −0.0829053 0.143596i
\(460\) 2.80836e6 4.86423e6i 0.618812 1.07181i
\(461\) −6.63271e6 −1.45358 −0.726789 0.686861i \(-0.758988\pi\)
−0.726789 + 0.686861i \(0.758988\pi\)
\(462\) 52338.5 19550.1i 0.0114082 0.00426132i
\(463\) −4.40432e6 −0.954830 −0.477415 0.878678i \(-0.658426\pi\)
−0.477415 + 0.878678i \(0.658426\pi\)
\(464\) −1.00277e6 + 1.73685e6i −0.216225 + 0.374512i
\(465\) 813313. + 1.40870e6i 0.174432 + 0.302124i
\(466\) 849325. + 1.47107e6i 0.181180 + 0.313812i
\(467\) −122922. + 212908.i −0.0260819 + 0.0451751i −0.878772 0.477242i \(-0.841636\pi\)
0.852690 + 0.522417i \(0.174970\pi\)
\(468\) −1.76229e6 −0.371931
\(469\) 5.70951e6 2.13269e6i 1.19858 0.447708i
\(470\) −1.54072e6 −0.321720
\(471\) −751070. + 1.30089e6i −0.156001 + 0.270202i
\(472\) −279482. 484076.i −0.0577428 0.100014i
\(473\) 14208.6 + 24610.0i 0.00292010 + 0.00505776i
\(474\) 1.09408e6 1.89500e6i 0.223667 0.387403i
\(475\) −490057. −0.0996581
\(476\) 2.51010e6 + 2.07047e6i 0.507778 + 0.418843i
\(477\) −1.88378e6 −0.379083
\(478\) −1.28821e6 + 2.23125e6i −0.257880 + 0.446661i
\(479\) 20175.6 + 34945.1i 0.00401779 + 0.00695901i 0.868027 0.496516i \(-0.165388\pi\)
−0.864010 + 0.503475i \(0.832054\pi\)
\(480\) −1.56080e6 2.70339e6i −0.309203 0.535556i
\(481\) −2.23678e6 + 3.87422e6i −0.440820 + 0.763523i
\(482\) 2.56140e6 0.502181
\(483\) −759412. + 4.52947e6i −0.148119 + 0.883445i
\(484\) 3.92987e6 0.762544
\(485\) 2.21743e6 3.84069e6i 0.428050 0.741405i
\(486\) −81138.7 140536.i −0.0155825 0.0269897i
\(487\) 1.65484e6 + 2.86627e6i 0.316180 + 0.547639i 0.979688 0.200530i \(-0.0642664\pi\)
−0.663508 + 0.748169i \(0.730933\pi\)
\(488\) 1.77440e6 3.07335e6i 0.337289 0.584202i
\(489\) 4.55555e6 0.861526
\(490\) 512768. + 2.64669e6i 0.0964785 + 0.497982i
\(491\) −1.97959e6 −0.370570 −0.185285 0.982685i \(-0.559321\pi\)
−0.185285 + 0.982685i \(0.559321\pi\)
\(492\) 2.02062e6 3.49982e6i 0.376333 0.651828i
\(493\) −2.89179e6 5.00872e6i −0.535857 0.928132i
\(494\) 2.12703e6 + 3.68412e6i 0.392153 + 0.679229i
\(495\) −41188.4 + 71340.4i −0.00755547 + 0.0130865i
\(496\) −1.10237e6 −0.201197
\(497\) 34290.7 204525.i 0.00622709 0.0371411i
\(498\) −2.37007e6 −0.428241
\(499\) 1.58498e6 2.74526e6i 0.284952 0.493551i −0.687646 0.726046i \(-0.741356\pi\)
0.972597 + 0.232495i \(0.0746891\pi\)
\(500\) −2.02857e6 3.51359e6i −0.362882 0.628530i
\(501\) 2.54502e6 + 4.40810e6i 0.452998 + 0.784616i
\(502\) −295396. + 511640.i −0.0523172 + 0.0906161i
\(503\) −4.01273e6 −0.707164 −0.353582 0.935403i \(-0.615037\pi\)
−0.353582 + 0.935403i \(0.615037\pi\)
\(504\) 1.25665e6 + 1.03656e6i 0.220363 + 0.181768i
\(505\) −2.69408e6 −0.470092
\(506\) −94242.1 + 163232.i −0.0163632 + 0.0283419i
\(507\) −1.89310e6 3.27894e6i −0.327079 0.566518i
\(508\) −2.85721e6 4.94884e6i −0.491228 0.850832i
\(509\) −2.05629e6 + 3.56159e6i −0.351795 + 0.609326i −0.986564 0.163375i \(-0.947762\pi\)
0.634769 + 0.772702i \(0.281095\pi\)
\(510\) 1.48209e6 0.252318
\(511\) 720338. 269070.i 0.122035 0.0455840i
\(512\) 3.88273e6 0.654580
\(513\) 634012. 1.09814e6i 0.106366 0.184232i
\(514\) −108810. 188465.i −0.0181661 0.0314646i
\(515\) 2.39229e6 + 4.14356e6i 0.397462 + 0.688424i
\(516\) −179423. + 310769.i −0.0296656 + 0.0513823i
\(517\) −167363. −0.0275380
\(518\) 1.67774e6 626691.i 0.274727 0.102619i
\(519\) −5.93492e6 −0.967155
\(520\) 4.02890e6 6.97827e6i 0.653399 1.13172i
\(521\) −4.27758e6 7.40898e6i −0.690404 1.19582i −0.971705 0.236196i \(-0.924099\pi\)
0.281301 0.959620i \(-0.409234\pi\)
\(522\) −627019. 1.08603e6i −0.100717 0.174448i
\(523\) 896820. 1.55334e6i 0.143368 0.248320i −0.785395 0.618995i \(-0.787540\pi\)
0.928763 + 0.370675i \(0.120874\pi\)
\(524\) 3.84534e6 0.611796
\(525\) −253588. 209174.i −0.0401542 0.0331214i
\(526\) −1.18949e6 −0.187455
\(527\) 1.58950e6 2.75310e6i 0.249307 0.431813i
\(528\) −27913.4 48347.5i −0.00435741 0.00754725i
\(529\) −4.52875e6 7.84402e6i −0.703621 1.21871i
\(530\) 1.86522e6 3.23065e6i 0.288430 0.499575i
\(531\) −291862. −0.0449202
\(532\) −911571. + 5.43701e6i −0.139640 + 0.832877i
\(533\) 1.63454e7 2.49217
\(534\) 575154. 996196.i 0.0872833 0.151179i
\(535\) 83280.6 + 144246.i 0.0125794 + 0.0217881i
\(536\) 3.64650e6 + 6.31592e6i 0.548231 + 0.949565i
\(537\) −743805. + 1.28831e6i −0.111307 + 0.192790i
\(538\) −12894.1 −0.00192059
\(539\) 55700.1 + 287501.i 0.00825818 + 0.0426253i
\(540\) −1.04023e6 −0.153514
\(541\) 178780. 309657.i 0.0262619 0.0454870i −0.852596 0.522571i \(-0.824973\pi\)
0.878858 + 0.477084i \(0.158306\pi\)
\(542\) −144643. 250528.i −0.0211494 0.0366318i
\(543\) −668213. 1.15738e6i −0.0972558 0.168452i
\(544\) −3.05036e6 + 5.28338e6i −0.441931 + 0.765447i
\(545\) −9.70522e6 −1.39963
\(546\) −471847. + 2.81430e6i −0.0677360 + 0.404007i
\(547\) −3.79404e6 −0.542167 −0.271084 0.962556i \(-0.587382\pi\)
−0.271084 + 0.962556i \(0.587382\pi\)
\(548\) −2.09695e6 + 3.63203e6i −0.298289 + 0.516652i
\(549\) −926502. 1.60475e6i −0.131195 0.227236i
\(550\) −6745.47 11683.5i −0.000950835 0.00164689i
\(551\) 4.89949e6 8.48616e6i 0.687498 1.19078i
\(552\) −5.49556e6 −0.767652
\(553\) 8.84771e6 + 7.29809e6i 1.23032 + 1.01484i
\(554\) −2.09718e6 −0.290310
\(555\) −1.32032e6 + 2.28686e6i −0.181948 + 0.315142i
\(556\) 2.57463e6 + 4.45939e6i 0.353206 + 0.611771i
\(557\) 2.44799e6 + 4.24005e6i 0.334328 + 0.579072i 0.983355 0.181692i \(-0.0581575\pi\)
−0.649028 + 0.760765i \(0.724824\pi\)
\(558\) 344648. 596948.i 0.0468587 0.0811617i
\(559\) −1.45140e6 −0.196453
\(560\) 2.52350e6 942607.i 0.340042 0.127017i
\(561\) 160994. 0.0215974
\(562\) 1.00245e6 1.73630e6i 0.133882 0.231891i
\(563\) 2.16583e6 + 3.75133e6i 0.287974 + 0.498786i 0.973326 0.229426i \(-0.0736849\pi\)
−0.685352 + 0.728212i \(0.740352\pi\)
\(564\) −1.05671e6 1.83027e6i −0.139880 0.242280i
\(565\) −7.59661e6 + 1.31577e7i −1.00115 + 1.73404i
\(566\) −3.27151e6 −0.429248
\(567\) 796807. 297633.i 0.104087 0.0388798i
\(568\) 248148. 0.0322730
\(569\) 1.09848e6 1.90262e6i 0.142236 0.246361i −0.786102 0.618097i \(-0.787904\pi\)
0.928338 + 0.371736i \(0.121237\pi\)
\(570\) 1.25553e6 + 2.17464e6i 0.161860 + 0.280350i
\(571\) 3.73846e6 + 6.47520e6i 0.479846 + 0.831118i 0.999733 0.0231172i \(-0.00735908\pi\)
−0.519886 + 0.854235i \(0.674026\pi\)
\(572\) 189545. 328301.i 0.0242227 0.0419549i
\(573\) 3.47320e6 0.441919
\(574\) −5.04805e6 4.16391e6i −0.639505 0.527500i
\(575\) 1.10899e6 0.139880
\(576\) −200026. + 346456.i −0.0251206 + 0.0435102i
\(577\) 683110. + 1.18318e6i 0.0854183 + 0.147949i 0.905569 0.424198i \(-0.139444\pi\)
−0.820151 + 0.572147i \(0.806111\pi\)
\(578\) 502748. + 870785.i 0.0625937 + 0.108415i
\(579\) −2.23333e6 + 3.86824e6i −0.276858 + 0.479531i
\(580\) −8.03867e6 −0.992234
\(581\) 2.05414e6 1.22518e7i 0.252458 1.50577i
\(582\) −1.87931e6 −0.229980
\(583\) 202612. 350934.i 0.0246884 0.0427616i
\(584\) 460059. + 796845.i 0.0558189 + 0.0966812i
\(585\) −2.10369e6 3.64370e6i −0.254151 0.440203i
\(586\) 1.40848e6 2.43956e6i 0.169437 0.293473i
\(587\) −9.27217e6 −1.11067 −0.555336 0.831626i \(-0.687410\pi\)
−0.555336 + 0.831626i \(0.687410\pi\)
\(588\) −2.79242e6 + 2.42438e6i −0.333071 + 0.289173i
\(589\) 5.38612e6 0.639717
\(590\) 288987. 500540.i 0.0341781 0.0591982i
\(591\) −1.98648e6 3.44068e6i −0.233946 0.405206i
\(592\) −894782. 1.54981e6i −0.104933 0.181750i
\(593\) −4.60523e6 + 7.97649e6i −0.537792 + 0.931483i 0.461231 + 0.887280i \(0.347408\pi\)
−0.999023 + 0.0442028i \(0.985925\pi\)
\(594\) 34907.9 0.00405936
\(595\) −1.28452e6 + 7.66145e6i −0.148747 + 0.887194i
\(596\) −5.85305e6 −0.674942
\(597\) 341275. 591105.i 0.0391894 0.0678779i
\(598\) −4.81340e6 8.33706e6i −0.550426 0.953367i
\(599\) 6.84581e6 + 1.18573e7i 0.779575 + 1.35026i 0.932187 + 0.361977i \(0.117898\pi\)
−0.152612 + 0.988286i \(0.548769\pi\)
\(600\) 196675. 340651.i 0.0223034 0.0386306i
\(601\) 1.61113e6 0.181946 0.0909732 0.995853i \(-0.471002\pi\)
0.0909732 + 0.995853i \(0.471002\pi\)
\(602\) 448246. + 369738.i 0.0504110 + 0.0415818i
\(603\) 3.80803e6 0.426489
\(604\) 2.65304e6 4.59519e6i 0.295904 0.512521i
\(605\) 4.69119e6 + 8.12539e6i 0.521069 + 0.902517i
\(606\) 570820. + 988690.i 0.0631419 + 0.109365i
\(607\) 7.03281e6 1.21812e7i 0.774742 1.34189i −0.160198 0.987085i \(-0.551213\pi\)
0.934940 0.354807i \(-0.115453\pi\)
\(608\) −1.03363e7 −1.13398
\(609\) 6.15752e6 2.30003e6i 0.672764 0.251299i
\(610\) 3.66950e6 0.399284
\(611\) 4.27401e6 7.40280e6i 0.463161 0.802219i
\(612\) 1.01650e6 + 1.76062e6i 0.109705 + 0.190015i
\(613\) −6.79842e6 1.17752e7i −0.730729 1.26566i −0.956572 0.291497i \(-0.905847\pi\)
0.225842 0.974164i \(-0.427487\pi\)
\(614\) 975391. 1.68943e6i 0.104414 0.180850i
\(615\) 9.64828e6 1.02864
\(616\) −328264. + 122617.i −0.0348555 + 0.0130197i
\(617\) −5.74287e6 −0.607318 −0.303659 0.952781i \(-0.598208\pi\)
−0.303659 + 0.952781i \(0.598208\pi\)
\(618\) 1.01375e6 1.75587e6i 0.106773 0.184936i
\(619\) 3.01299e6 + 5.21865e6i 0.316061 + 0.547434i 0.979662 0.200653i \(-0.0643063\pi\)
−0.663602 + 0.748086i \(0.730973\pi\)
\(620\) −2.20927e6 3.82657e6i −0.230818 0.399789i
\(621\) −1.43475e6 + 2.48506e6i −0.149296 + 0.258588i
\(622\) 4.30814e6 0.446492
\(623\) 4.65122e6 + 3.83658e6i 0.480117 + 0.396027i
\(624\) 2.85135e6 0.293149
\(625\) 5.28334e6 9.15101e6i 0.541014 0.937064i
\(626\) −512470. 887625.i −0.0522676 0.0905302i
\(627\) 136384. + 236224.i 0.0138546 + 0.0239969i
\(628\) 2.04020e6 3.53373e6i 0.206430 0.357547i
\(629\) 5.16075e6 0.520099
\(630\) −278519. + 1.66121e6i −0.0279579 + 0.166753i
\(631\) −6.90670e6 −0.690554 −0.345277 0.938501i \(-0.612215\pi\)
−0.345277 + 0.938501i \(0.612215\pi\)
\(632\) −6.86200e6 + 1.18853e7i −0.683373 + 1.18364i
\(633\) −3.50417e6 6.06940e6i −0.347597 0.602055i
\(634\) 4.16096e6 + 7.20700e6i 0.411122 + 0.712084i
\(635\) 6.82146e6 1.18151e7i 0.671341 1.16280i
\(636\) 5.11708e6 0.501625
\(637\) −1.41392e7 4.87830e6i −1.38063 0.476343i
\(638\) 269759. 0.0262376
\(639\) 64785.2 112211.i 0.00627659 0.0108714i
\(640\) 5.15340e6 + 8.92595e6i 0.497329 + 0.861400i
\(641\) −8.24828e6 1.42864e7i −0.792900 1.37334i −0.924164 0.381995i \(-0.875237\pi\)
0.131265 0.991347i \(-0.458096\pi\)
\(642\) 35290.9 61125.6i 0.00337928 0.00585309i
\(643\) 1.70171e7 1.62315 0.811576 0.584247i \(-0.198610\pi\)
0.811576 + 0.584247i \(0.198610\pi\)
\(644\) 2.06286e6 1.23038e7i 0.195999 1.16903i
\(645\) −856727. −0.0810855
\(646\) 2.45376e6 4.25003e6i 0.231340 0.400692i
\(647\) −1.74287e6 3.01873e6i −0.163683 0.283507i 0.772504 0.635010i \(-0.219004\pi\)
−0.936187 + 0.351503i \(0.885671\pi\)
\(648\) 508897. + 881436.i 0.0476094 + 0.0824619i
\(649\) 31391.6 54371.8i 0.00292551 0.00506713i
\(650\) 689047. 0.0639684
\(651\) 2.78714e6 + 2.29899e6i 0.257754 + 0.212610i
\(652\) −1.23746e7 −1.14002
\(653\) −7.72245e6 + 1.33757e7i −0.708716 + 1.22753i 0.256618 + 0.966513i \(0.417392\pi\)
−0.965334 + 0.261019i \(0.915941\pi\)
\(654\) 2.05633e6 + 3.56168e6i 0.187996 + 0.325619i
\(655\) 4.59029e6 + 7.95061e6i 0.418058 + 0.724098i
\(656\) −3.26933e6 + 5.66264e6i −0.296619 + 0.513759i
\(657\) 480439. 0.0434235
\(658\) −3.20580e6 + 1.19747e6i −0.288650 + 0.107820i
\(659\) −3.11193e6 −0.279136 −0.139568 0.990212i \(-0.544571\pi\)
−0.139568 + 0.990212i \(0.544571\pi\)
\(660\) 111884. 193788.i 0.00999785 0.0173168i
\(661\) −4.08610e6 7.07733e6i −0.363752 0.630037i 0.624823 0.780766i \(-0.285171\pi\)
−0.988575 + 0.150729i \(0.951838\pi\)
\(662\) −1.46601e6 2.53921e6i −0.130015 0.225192i
\(663\) −4.11137e6 + 7.12110e6i −0.363247 + 0.629163i
\(664\) 1.48650e7 1.30841
\(665\) −1.23297e7 + 4.60554e6i −1.08118 + 0.403856i
\(666\) 1.11899e6 0.0977556
\(667\) −1.10874e7 + 1.92039e7i −0.964973 + 1.67138i
\(668\) −6.91326e6 1.19741e7i −0.599434 1.03825i
\(669\) −3.32138e6 5.75280e6i −0.286915 0.496951i
\(670\) −3.77051e6 + 6.53072e6i −0.324499 + 0.562049i
\(671\) 398604. 0.0341771
\(672\) −5.34870e6 4.41191e6i −0.456904 0.376880i
\(673\) 1.60182e7 1.36325 0.681627 0.731700i \(-0.261273\pi\)
0.681627 + 0.731700i \(0.261273\pi\)
\(674\) −2.13993e6 + 3.70647e6i −0.181447 + 0.314276i
\(675\) −102694. 177871.i −0.00867530 0.0150261i
\(676\) 5.14239e6 + 8.90687e6i 0.432811 + 0.749650i
\(677\) −512185. + 887131.i −0.0429492 + 0.0743902i −0.886701 0.462344i \(-0.847009\pi\)
0.843752 + 0.536734i \(0.180342\pi\)
\(678\) 6.43826e6 0.537891
\(679\) 1.62879e6 9.71483e6i 0.135579 0.808650i
\(680\) −9.29556e6 −0.770910
\(681\) 2.44852e6 4.24096e6i 0.202319 0.350426i
\(682\) 74138.1 + 128411.i 0.00610352 + 0.0105716i
\(683\) 2.69688e6 + 4.67114e6i 0.221213 + 0.383152i 0.955177 0.296037i \(-0.0956651\pi\)
−0.733964 + 0.679189i \(0.762332\pi\)
\(684\) −1.72222e6 + 2.98298e6i −0.140750 + 0.243787i
\(685\) −1.00128e7 −0.815319
\(686\) 3.12398e6 + 5.10850e6i 0.253453 + 0.414460i
\(687\) −2.10206e6 −0.169924
\(688\) 290302. 502819.i 0.0233819 0.0404986i
\(689\) 1.03484e7 + 1.79239e7i 0.830470 + 1.43842i
\(690\) −2.84123e6 4.92116e6i −0.227187 0.393500i
\(691\) 452826. 784318.i 0.0360775 0.0624881i −0.847423 0.530919i \(-0.821847\pi\)
0.883500 + 0.468430i \(0.155180\pi\)
\(692\) 1.61215e7 1.27980
\(693\) −30254.6 + 180452.i −0.00239308 + 0.0142734i
\(694\) −6.14207e6 −0.484079
\(695\) −6.14682e6 + 1.06466e7i −0.482712 + 0.836082i
\(696\) 3.93263e6 + 6.81151e6i 0.307723 + 0.532992i
\(697\) −9.42810e6 1.63300e7i −0.735093 1.27322i
\(698\) 2.37693e6 4.11697e6i 0.184662 0.319845i
\(699\) −5.56290e6 −0.430634
\(700\) 688845. + 568197.i 0.0531344 + 0.0438282i
\(701\) 1.12573e7 0.865246 0.432623 0.901575i \(-0.357588\pi\)
0.432623 + 0.901575i \(0.357588\pi\)
\(702\) −891457. + 1.54405e6i −0.0682743 + 0.118255i
\(703\) 4.37187e6 + 7.57230e6i 0.333640 + 0.577882i
\(704\) −43028.1 74526.9i −0.00327205 0.00566736i
\(705\) 2.52284e6 4.36969e6i 0.191169 0.331114i
\(706\) −6.50147e6 −0.490908
\(707\) −5.60563e6 + 2.09388e6i −0.421770 + 0.157545i
\(708\) 792812. 0.0594411
\(709\) −2.17755e6 + 3.77162e6i −0.162687 + 0.281781i −0.935831 0.352448i \(-0.885349\pi\)
0.773145 + 0.634230i \(0.218683\pi\)
\(710\) 128294. + 222211.i 0.00955123 + 0.0165432i
\(711\) 3.58299e6 + 6.20592e6i 0.265810 + 0.460397i
\(712\) −3.60733e6 + 6.24809e6i −0.266678 + 0.461899i
\(713\) −1.21886e7 −0.897907
\(714\) 3.08381e6 1.15190e6i 0.226382 0.0845609i
\(715\) 905060. 0.0662082
\(716\) 2.02046e6 3.49955e6i 0.147288 0.255111i
\(717\) −4.21875e6 7.30709e6i −0.306469 0.530819i
\(718\) −70118.0 121448.i −0.00507597 0.00879183i
\(719\) 7.07221e6 1.22494e7i 0.510191 0.883676i −0.489739 0.871869i \(-0.662908\pi\)
0.999930 0.0118076i \(-0.00375858\pi\)
\(720\) 1.68308e6 0.120997
\(721\) 8.19812e6 + 6.76227e6i 0.587322 + 0.484456i
\(722\) 1.50992e6 0.107798
\(723\) −4.19416e6 + 7.26450e6i −0.298401 + 0.516845i
\(724\) 1.81513e6 + 3.14389e6i 0.128695 + 0.222906i
\(725\) −793591. 1.37454e6i −0.0560727 0.0971208i
\(726\) 1.98793e6 3.44320e6i 0.139978 0.242449i
\(727\) −6.26406e6 −0.439561 −0.219781 0.975549i \(-0.570534\pi\)
−0.219781 + 0.975549i \(0.570534\pi\)
\(728\) 2.95940e6 1.76511e7i 0.206954 1.23437i
\(729\) 531441. 0.0370370
\(730\) −475705. + 823946.i −0.0330393 + 0.0572258i
\(731\) 837176. + 1.45003e6i 0.0579460 + 0.100365i
\(732\) 2.51674e6 + 4.35912e6i 0.173604 + 0.300692i
\(733\) 1.02089e7 1.76823e7i 0.701806 1.21556i −0.266025 0.963966i \(-0.585710\pi\)
0.967832 0.251598i \(-0.0809562\pi\)
\(734\) 1.03558e7 0.709484
\(735\) −8.34602e6 2.87954e6i −0.569851 0.196610i
\(736\) 2.33908e7 1.59166
\(737\) −409577. + 709409.i −0.0277758 + 0.0481092i
\(738\) −2.04427e6 3.54078e6i −0.138165 0.239309i
\(739\) −7.42256e6 1.28563e7i −0.499969 0.865971i 0.500031 0.866007i \(-0.333322\pi\)
−1.00000 3.61537e-5i \(0.999988\pi\)
\(740\) 3.58650e6 6.21200e6i 0.240764 0.417015i
\(741\) −1.39316e7 −0.932083
\(742\) 1.37008e6 8.17176e6i 0.0913558 0.544886i
\(743\) 2.36601e7 1.57234 0.786168 0.618013i \(-0.212062\pi\)
0.786168 + 0.618013i \(0.212062\pi\)
\(744\) −2.16161e6 + 3.74403e6i −0.143168 + 0.247974i
\(745\) −6.98694e6 1.21017e7i −0.461207 0.798834i
\(746\) −6.36809e6 1.10299e7i −0.418950 0.725643i
\(747\) 3.88087e6 6.72186e6i 0.254465 0.440746i
\(748\) −437322. −0.0285790
\(749\) 285394. + 235409.i 0.0185883 + 0.0153327i
\(750\) −4.10463e6 −0.266453
\(751\) −1.03287e7 + 1.78898e7i −0.668258 + 1.15746i 0.310133 + 0.950693i \(0.399627\pi\)
−0.978391 + 0.206764i \(0.933707\pi\)
\(752\) 1.70973e6 + 2.96134e6i 0.110251 + 0.190961i
\(753\) −967389. 1.67557e6i −0.0621747 0.107690i
\(754\) −6.88895e6 + 1.19320e7i −0.441291 + 0.764338i
\(755\) 1.26680e7 0.808799
\(756\) −2.16444e6 + 808487.i −0.137734 + 0.0514480i
\(757\) −1.26697e7 −0.803573 −0.401787 0.915733i \(-0.631611\pi\)
−0.401787 + 0.915733i \(0.631611\pi\)
\(758\) 5.73228e6 9.92860e6i 0.362372 0.627646i
\(759\) −308633. 534568.i −0.0194463 0.0336820i
\(760\) −7.87462e6 1.36392e7i −0.494534 0.856557i
\(761\) −8.13761e6 + 1.40948e7i −0.509372 + 0.882259i 0.490569 + 0.871402i \(0.336789\pi\)
−0.999941 + 0.0108563i \(0.996544\pi\)
\(762\) −5.78130e6 −0.360694
\(763\) −2.01938e7 + 7.54305e6i −1.25576 + 0.469068i
\(764\) −9.43455e6 −0.584774
\(765\) −2.42684e6 + 4.20341e6i −0.149929 + 0.259685i
\(766\) 5.73232e6 + 9.92867e6i 0.352987 + 0.611391i
\(767\) 1.60332e6 + 2.77703e6i 0.0984084 + 0.170448i
\(768\) 2.89500e6 5.01429e6i 0.177111 0.306765i
\(769\) 1.60471e7 0.978547 0.489273 0.872130i \(-0.337262\pi\)