Properties

Label 43.6.c.a.6.14
Level $43$
Weight $6$
Character 43.6
Analytic conductor $6.897$
Analytic rank $0$
Dimension $34$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 6.14
Character \(\chi\) \(=\) 43.6
Dual form 43.6.c.a.36.14

$q$-expansion

\(f(q)\) \(=\) \(q+6.70145 q^{2} +(-7.23861 + 12.5376i) q^{3} +12.9095 q^{4} +(-40.0400 + 69.3513i) q^{5} +(-48.5092 + 84.0205i) q^{6} +(-74.8208 - 129.593i) q^{7} -127.934 q^{8} +(16.7049 + 28.9338i) q^{9} +O(q^{10})\) \(q+6.70145 q^{2} +(-7.23861 + 12.5376i) q^{3} +12.9095 q^{4} +(-40.0400 + 69.3513i) q^{5} +(-48.5092 + 84.0205i) q^{6} +(-74.8208 - 129.593i) q^{7} -127.934 q^{8} +(16.7049 + 28.9338i) q^{9} +(-268.326 + 464.754i) q^{10} +126.467 q^{11} +(-93.4468 + 161.855i) q^{12} +(420.937 + 729.085i) q^{13} +(-501.408 - 868.464i) q^{14} +(-579.668 - 1004.01i) q^{15} -1270.45 q^{16} +(1123.97 + 1946.77i) q^{17} +(111.947 + 193.898i) q^{18} +(1462.95 - 2533.91i) q^{19} +(-516.896 + 895.290i) q^{20} +2166.40 q^{21} +847.515 q^{22} +(-1996.77 + 3458.50i) q^{23} +(926.066 - 1603.99i) q^{24} +(-1643.90 - 2847.32i) q^{25} +(2820.89 + 4885.93i) q^{26} -4001.65 q^{27} +(-965.898 - 1672.99i) q^{28} +(-1138.80 - 1972.46i) q^{29} +(-3884.62 - 6728.36i) q^{30} +(1142.42 - 1978.74i) q^{31} -4419.96 q^{32} +(-915.448 + 1585.60i) q^{33} +(7532.23 + 13046.2i) q^{34} +11983.3 q^{35} +(215.652 + 373.520i) q^{36} +(1256.01 - 2175.48i) q^{37} +(9803.91 - 16980.9i) q^{38} -12188.0 q^{39} +(5122.48 - 8872.40i) q^{40} +192.193 q^{41} +14518.0 q^{42} +(12115.9 + 462.816i) q^{43} +1632.63 q^{44} -2675.46 q^{45} +(-13381.2 + 23177.0i) q^{46} -6423.78 q^{47} +(9196.29 - 15928.4i) q^{48} +(-2792.80 + 4837.28i) q^{49} +(-11016.5 - 19081.2i) q^{50} -32543.9 q^{51} +(5434.09 + 9412.12i) q^{52} +(-11360.2 + 19676.4i) q^{53} -26816.9 q^{54} +(-5063.75 + 8770.67i) q^{55} +(9572.14 + 16579.4i) q^{56} +(21179.5 + 36684.0i) q^{57} +(-7631.60 - 13218.3i) q^{58} -17318.6 q^{59} +(-7483.22 - 12961.3i) q^{60} +(15021.4 + 26017.8i) q^{61} +(7655.91 - 13260.4i) q^{62} +(2499.75 - 4329.70i) q^{63} +11034.2 q^{64} -67417.3 q^{65} +(-6134.83 + 10625.8i) q^{66} +(726.753 - 1258.77i) q^{67} +(14509.9 + 25131.8i) q^{68} +(-28907.7 - 50069.5i) q^{69} +80305.5 q^{70} +(34539.7 + 59824.5i) q^{71} +(-2137.13 - 3701.62i) q^{72} +(-6368.40 - 11030.4i) q^{73} +(8417.12 - 14578.9i) q^{74} +47598.2 q^{75} +(18886.0 - 32711.5i) q^{76} +(-9462.38 - 16389.3i) q^{77} -81677.4 q^{78} +(13220.7 + 22898.9i) q^{79} +(50868.7 - 88107.2i) q^{80} +(24907.1 - 43140.4i) q^{81} +1287.98 q^{82} +(14962.4 - 25915.6i) q^{83} +27967.1 q^{84} -180015. q^{85} +(81193.9 + 3101.54i) q^{86} +32973.3 q^{87} -16179.5 q^{88} +(31589.4 - 54714.4i) q^{89} -17929.5 q^{90} +(62989.7 - 109101. i) q^{91} +(-25777.2 + 44647.5i) q^{92} +(16539.1 + 28646.6i) q^{93} -43048.7 q^{94} +(117153. + 202915. i) q^{95} +(31994.4 - 55415.9i) q^{96} +131247. q^{97} +(-18715.9 + 32416.8i) q^{98} +(2112.63 + 3659.17i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 34q - 14q^{2} - 14q^{3} + 454q^{4} + 71q^{5} + 15q^{6} + 225q^{7} - 936q^{8} - 1011q^{9} + O(q^{10}) \) \( 34q - 14q^{2} - 14q^{3} + 454q^{4} + 71q^{5} + 15q^{6} + 225q^{7} - 936q^{8} - 1011q^{9} - 317q^{10} + 1326q^{11} - 648q^{12} + 1006q^{13} - 1272q^{14} + 683q^{15} + 3574q^{16} + 200q^{17} + 1861q^{18} + 3361q^{19} + 3825q^{20} - 1320q^{21} - 8768q^{22} + 560q^{23} - 7382q^{24} - 3232q^{25} - 3201q^{26} - 122q^{27} + 13934q^{28} + 8887q^{29} - 19449q^{30} - 6749q^{31} - 19086q^{32} + 7106q^{33} + 8423q^{34} + 31118q^{35} - 14112q^{36} - 4514q^{37} + 7072q^{38} - 5404q^{39} - 18519q^{40} - 28996q^{41} + 58118q^{42} - 14998q^{43} + 71050q^{44} - 92096q^{45} + 20052q^{46} - 10742q^{47} + 32927q^{48} + 7472q^{49} + 20362q^{50} + 20250q^{51} + 59532q^{52} - 50572q^{53} - 230084q^{54} + 38544q^{55} - 40355q^{56} - 18087q^{57} - 33436q^{58} + 112654q^{59} + 134093q^{60} - 20120q^{61} - 31491q^{62} + 188227q^{63} + 125164q^{64} - 36578q^{65} + 8803q^{66} - 73824q^{67} - 128456q^{68} + 8005q^{69} - 141610q^{70} + 142842q^{71} + 98466q^{72} - 91624q^{73} - 99720q^{74} + 298358q^{75} + 258288q^{76} + 68051q^{77} - 201116q^{78} + 99734q^{79} - 31261q^{80} - 28441q^{81} - 147772q^{82} - 47340q^{83} - 624232q^{84} - 71734q^{85} - 115526q^{86} - 215924q^{87} - 720684q^{88} + 60402q^{89} + 676108q^{90} + 164172q^{91} + 78997q^{92} - 40793q^{93} - 341874q^{94} + 123541q^{95} - 442140q^{96} + 318476q^{97} + 217473q^{98} - 134770q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 6.70145 1.18466 0.592330 0.805695i \(-0.298208\pi\)
0.592330 + 0.805695i \(0.298208\pi\)
\(3\) −7.23861 + 12.5376i −0.464357 + 0.804291i −0.999172 0.0406787i \(-0.987048\pi\)
0.534815 + 0.844969i \(0.320381\pi\)
\(4\) 12.9095 0.403422
\(5\) −40.0400 + 69.3513i −0.716257 + 1.24059i 0.246216 + 0.969215i \(0.420813\pi\)
−0.962473 + 0.271378i \(0.912521\pi\)
\(6\) −48.5092 + 84.0205i −0.550106 + 0.952812i
\(7\) −74.8208 129.593i −0.577135 0.999627i −0.995806 0.0914889i \(-0.970837\pi\)
0.418671 0.908138i \(-0.362496\pi\)
\(8\) −127.934 −0.706743
\(9\) 16.7049 + 28.9338i 0.0687445 + 0.119069i
\(10\) −268.326 + 464.754i −0.848522 + 1.46968i
\(11\) 126.467 0.315135 0.157567 0.987508i \(-0.449635\pi\)
0.157567 + 0.987508i \(0.449635\pi\)
\(12\) −93.4468 + 161.855i −0.187332 + 0.324468i
\(13\) 420.937 + 729.085i 0.690811 + 1.19652i 0.971573 + 0.236742i \(0.0760796\pi\)
−0.280762 + 0.959777i \(0.590587\pi\)
\(14\) −501.408 868.464i −0.683709 1.18422i
\(15\) −579.668 1004.01i −0.665198 1.15216i
\(16\) −1270.45 −1.24067
\(17\) 1123.97 + 1946.77i 0.943261 + 1.63378i 0.759195 + 0.650863i \(0.225593\pi\)
0.184066 + 0.982914i \(0.441074\pi\)
\(18\) 111.947 + 193.898i 0.0814389 + 0.141056i
\(19\) 1462.95 2533.91i 0.929707 1.61030i 0.145897 0.989300i \(-0.453393\pi\)
0.783810 0.621000i \(-0.213273\pi\)
\(20\) −516.896 + 895.290i −0.288953 + 0.500482i
\(21\) 2166.40 1.07199
\(22\) 847.515 0.373328
\(23\) −1996.77 + 3458.50i −0.787060 + 1.36323i 0.140701 + 0.990052i \(0.455064\pi\)
−0.927761 + 0.373176i \(0.878269\pi\)
\(24\) 926.066 1603.99i 0.328181 0.568427i
\(25\) −1643.90 2847.32i −0.526048 0.911142i
\(26\) 2820.89 + 4885.93i 0.818377 + 1.41747i
\(27\) −4001.65 −1.05640
\(28\) −965.898 1672.99i −0.232829 0.403271i
\(29\) −1138.80 1972.46i −0.251450 0.435524i 0.712475 0.701697i \(-0.247574\pi\)
−0.963925 + 0.266173i \(0.914241\pi\)
\(30\) −3884.62 6728.36i −0.788034 1.36492i
\(31\) 1142.42 1978.74i 0.213513 0.369815i −0.739299 0.673377i \(-0.764843\pi\)
0.952811 + 0.303563i \(0.0981763\pi\)
\(32\) −4419.96 −0.763033
\(33\) −915.448 + 1585.60i −0.146335 + 0.253460i
\(34\) 7532.23 + 13046.2i 1.11745 + 1.93547i
\(35\) 11983.3 1.65351
\(36\) 215.652 + 373.520i 0.0277330 + 0.0480350i
\(37\) 1256.01 2175.48i 0.150831 0.261247i −0.780702 0.624903i \(-0.785138\pi\)
0.931533 + 0.363656i \(0.118472\pi\)
\(38\) 9803.91 16980.9i 1.10139 1.90766i
\(39\) −12188.0 −1.28313
\(40\) 5122.48 8872.40i 0.506210 0.876781i
\(41\) 192.193 0.0178558 0.00892789 0.999960i \(-0.497158\pi\)
0.00892789 + 0.999960i \(0.497158\pi\)
\(42\) 14518.0 1.26994
\(43\) 12115.9 + 462.816i 0.999271 + 0.0381713i
\(44\) 1632.63 0.127132
\(45\) −2675.46 −0.196955
\(46\) −13381.2 + 23177.0i −0.932399 + 1.61496i
\(47\) −6423.78 −0.424176 −0.212088 0.977251i \(-0.568026\pi\)
−0.212088 + 0.977251i \(0.568026\pi\)
\(48\) 9196.29 15928.4i 0.576115 0.997861i
\(49\) −2792.80 + 4837.28i −0.166169 + 0.287813i
\(50\) −11016.5 19081.2i −0.623188 1.07939i
\(51\) −32543.9 −1.75204
\(52\) 5434.09 + 9412.12i 0.278688 + 0.482702i
\(53\) −11360.2 + 19676.4i −0.555515 + 0.962180i 0.442348 + 0.896843i \(0.354145\pi\)
−0.997863 + 0.0653366i \(0.979188\pi\)
\(54\) −26816.9 −1.25148
\(55\) −5063.75 + 8770.67i −0.225718 + 0.390954i
\(56\) 9572.14 + 16579.4i 0.407886 + 0.706479i
\(57\) 21179.5 + 36684.0i 0.863433 + 1.49551i
\(58\) −7631.60 13218.3i −0.297883 0.515948i
\(59\) −17318.6 −0.647714 −0.323857 0.946106i \(-0.604980\pi\)
−0.323857 + 0.946106i \(0.604980\pi\)
\(60\) −7483.22 12961.3i −0.268355 0.464805i
\(61\) 15021.4 + 26017.8i 0.516875 + 0.895253i 0.999808 + 0.0195959i \(0.00623798\pi\)
−0.482933 + 0.875657i \(0.660429\pi\)
\(62\) 7655.91 13260.4i 0.252940 0.438105i
\(63\) 2499.75 4329.70i 0.0793497 0.137438i
\(64\) 11034.2 0.336737
\(65\) −67417.3 −1.97919
\(66\) −6134.83 + 10625.8i −0.173358 + 0.300264i
\(67\) 726.753 1258.77i 0.0197788 0.0342579i −0.855967 0.517031i \(-0.827037\pi\)
0.875745 + 0.482773i \(0.160370\pi\)
\(68\) 14509.9 + 25131.8i 0.380532 + 0.659101i
\(69\) −28907.7 50069.5i −0.730954 1.26605i
\(70\) 80305.5 1.95885
\(71\) 34539.7 + 59824.5i 0.813154 + 1.40842i 0.910646 + 0.413187i \(0.135585\pi\)
−0.0974922 + 0.995236i \(0.531082\pi\)
\(72\) −2137.13 3701.62i −0.0485847 0.0841512i
\(73\) −6368.40 11030.4i −0.139870 0.242261i 0.787578 0.616216i \(-0.211335\pi\)
−0.927447 + 0.373954i \(0.878002\pi\)
\(74\) 8417.12 14578.9i 0.178683 0.309489i
\(75\) 47598.2 0.977097
\(76\) 18886.0 32711.5i 0.375064 0.649630i
\(77\) −9462.38 16389.3i −0.181875 0.315017i
\(78\) −81677.4 −1.52008
\(79\) 13220.7 + 22898.9i 0.238334 + 0.412807i 0.960236 0.279188i \(-0.0900653\pi\)
−0.721902 + 0.691995i \(0.756732\pi\)
\(80\) 50868.7 88107.2i 0.888640 1.53917i
\(81\) 24907.1 43140.4i 0.421804 0.730586i
\(82\) 1287.98 0.0211530
\(83\) 14962.4 25915.6i 0.238399 0.412920i −0.721856 0.692044i \(-0.756711\pi\)
0.960255 + 0.279124i \(0.0900439\pi\)
\(84\) 27967.1 0.432463
\(85\) −180015. −2.70247
\(86\) 81193.9 + 3101.54i 1.18380 + 0.0452201i
\(87\) 32973.3 0.467051
\(88\) −16179.5 −0.222719
\(89\) 31589.4 54714.4i 0.422733 0.732195i −0.573473 0.819225i \(-0.694404\pi\)
0.996206 + 0.0870298i \(0.0277375\pi\)
\(90\) −17929.5 −0.233325
\(91\) 62989.7 109101.i 0.797382 1.38111i
\(92\) −25777.2 + 44647.5i −0.317517 + 0.549955i
\(93\) 16539.1 + 28646.6i 0.198292 + 0.343452i
\(94\) −43048.7 −0.502505
\(95\) 117153. + 202915.i 1.33182 + 2.30678i
\(96\) 31994.4 55415.9i 0.354320 0.613700i
\(97\) 131247. 1.41632 0.708159 0.706053i \(-0.249526\pi\)
0.708159 + 0.706053i \(0.249526\pi\)
\(98\) −18715.9 + 32416.8i −0.196854 + 0.340961i
\(99\) 2112.63 + 3659.17i 0.0216638 + 0.0375228i
\(100\) −21221.9 36757.4i −0.212219 0.367574i
\(101\) −2685.19 4650.88i −0.0261921 0.0453661i 0.852632 0.522512i \(-0.175005\pi\)
−0.878824 + 0.477145i \(0.841672\pi\)
\(102\) −218092. −2.07558
\(103\) −19680.1 34086.9i −0.182782 0.316588i 0.760045 0.649871i \(-0.225177\pi\)
−0.942827 + 0.333282i \(0.891844\pi\)
\(104\) −53852.3 93274.9i −0.488226 0.845632i
\(105\) −86742.4 + 150242.i −0.767818 + 1.32990i
\(106\) −76129.7 + 131861.i −0.658097 + 1.13986i
\(107\) −28671.5 −0.242098 −0.121049 0.992647i \(-0.538626\pi\)
−0.121049 + 0.992647i \(0.538626\pi\)
\(108\) −51659.2 −0.426176
\(109\) 64211.8 111218.i 0.517665 0.896621i −0.482125 0.876103i \(-0.660135\pi\)
0.999789 0.0205189i \(-0.00653183\pi\)
\(110\) −33934.5 + 58776.2i −0.267399 + 0.463148i
\(111\) 18183.6 + 31494.9i 0.140079 + 0.242624i
\(112\) 95056.0 + 164642.i 0.716035 + 1.24021i
\(113\) −20570.7 −0.151549 −0.0757744 0.997125i \(-0.524143\pi\)
−0.0757744 + 0.997125i \(0.524143\pi\)
\(114\) 141933. + 245836.i 1.02288 + 1.77167i
\(115\) −159901. 276957.i −1.12747 1.95284i
\(116\) −14701.3 25463.4i −0.101440 0.175700i
\(117\) −14063.4 + 24358.6i −0.0949789 + 0.164508i
\(118\) −116060. −0.767321
\(119\) 168193. 291318.i 1.08878 1.88582i
\(120\) 74159.3 + 128448.i 0.470124 + 0.814279i
\(121\) −145057. −0.900690
\(122\) 100665. + 174357.i 0.612321 + 1.06057i
\(123\) −1391.21 + 2409.65i −0.00829146 + 0.0143612i
\(124\) 14748.1 25544.5i 0.0861356 0.149191i
\(125\) 13037.0 0.0746282
\(126\) 16752.0 29015.3i 0.0940025 0.162817i
\(127\) 98267.2 0.540629 0.270314 0.962772i \(-0.412872\pi\)
0.270314 + 0.962772i \(0.412872\pi\)
\(128\) 215384. 1.16195
\(129\) −93504.7 + 148554.i −0.494720 + 0.785979i
\(130\) −451794. −2.34467
\(131\) 94616.1 0.481711 0.240856 0.970561i \(-0.422572\pi\)
0.240856 + 0.970561i \(0.422572\pi\)
\(132\) −11818.0 + 20469.3i −0.0590348 + 0.102251i
\(133\) −437837. −2.14627
\(134\) 4870.30 8435.62i 0.0234312 0.0405840i
\(135\) 160226. 277519.i 0.756656 1.31057i
\(136\) −143794. 249059.i −0.666644 1.15466i
\(137\) 435056. 1.98036 0.990180 0.139800i \(-0.0446459\pi\)
0.990180 + 0.139800i \(0.0446459\pi\)
\(138\) −193723. 335539.i −0.865933 1.49984i
\(139\) −105765. + 183191.i −0.464309 + 0.804206i −0.999170 0.0407336i \(-0.987031\pi\)
0.534861 + 0.844940i \(0.320364\pi\)
\(140\) 154698. 0.667060
\(141\) 46499.3 80539.1i 0.196969 0.341161i
\(142\) 231466. + 400911.i 0.963312 + 1.66850i
\(143\) 53234.8 + 92205.4i 0.217699 + 0.377065i
\(144\) −21222.7 36758.9i −0.0852894 0.147726i
\(145\) 182390. 0.720411
\(146\) −42677.6 73919.7i −0.165698 0.286997i
\(147\) −40432.1 70030.4i −0.154324 0.267296i
\(148\) 16214.5 28084.3i 0.0608484 0.105393i
\(149\) −141616. + 245287.i −0.522574 + 0.905125i 0.477081 + 0.878859i \(0.341695\pi\)
−0.999655 + 0.0262655i \(0.991638\pi\)
\(150\) 318977. 1.15753
\(151\) 17751.1 0.0633555 0.0316777 0.999498i \(-0.489915\pi\)
0.0316777 + 0.999498i \(0.489915\pi\)
\(152\) −187162. + 324173.i −0.657064 + 1.13807i
\(153\) −37551.6 + 65041.3i −0.129688 + 0.224626i
\(154\) −63411.7 109832.i −0.215461 0.373189i
\(155\) 91485.3 + 158457.i 0.305860 + 0.529764i
\(156\) −157341. −0.517643
\(157\) 79369.5 + 137472.i 0.256983 + 0.445107i 0.965432 0.260654i \(-0.0839383\pi\)
−0.708449 + 0.705762i \(0.750605\pi\)
\(158\) 88597.8 + 153456.i 0.282345 + 0.489036i
\(159\) −164464. 284860.i −0.515915 0.893591i
\(160\) 176975. 306530.i 0.546528 0.946614i
\(161\) 597599. 1.81696
\(162\) 166914. 289103.i 0.499695 0.865496i
\(163\) −104878. 181653.i −0.309182 0.535518i 0.669002 0.743261i \(-0.266722\pi\)
−0.978184 + 0.207742i \(0.933388\pi\)
\(164\) 2481.12 0.00720341
\(165\) −73309.0 126975.i −0.209627 0.363085i
\(166\) 100270. 173672.i 0.282422 0.489170i
\(167\) 102954. 178321.i 0.285661 0.494779i −0.687109 0.726555i \(-0.741120\pi\)
0.972769 + 0.231776i \(0.0744537\pi\)
\(168\) −277156. −0.757620
\(169\) −168730. + 292249.i −0.454439 + 0.787112i
\(170\) −1.20636e6 −3.20151
\(171\) 97754.0 0.255649
\(172\) 156410. + 5974.72i 0.403128 + 0.0153991i
\(173\) 192007. 0.487755 0.243877 0.969806i \(-0.421581\pi\)
0.243877 + 0.969806i \(0.421581\pi\)
\(174\) 220969. 0.553296
\(175\) −245996. + 426077.i −0.607201 + 1.05170i
\(176\) −160670. −0.390979
\(177\) 125363. 217135.i 0.300771 0.520950i
\(178\) 211695. 366666.i 0.500795 0.867402i
\(179\) −159511. 276280.i −0.372098 0.644492i 0.617790 0.786343i \(-0.288028\pi\)
−0.989888 + 0.141851i \(0.954695\pi\)
\(180\) −34538.8 −0.0794559
\(181\) 42272.5 + 73218.1i 0.0959094 + 0.166120i 0.909988 0.414635i \(-0.136091\pi\)
−0.814078 + 0.580755i \(0.802757\pi\)
\(182\) 422123. 731138.i 0.944627 1.63614i
\(183\) −434936. −0.960058
\(184\) 255455. 442461.i 0.556249 0.963452i
\(185\) 100582. + 174212.i 0.216067 + 0.374239i
\(186\) 110836. + 191974.i 0.234909 + 0.406874i
\(187\) 142145. + 246203.i 0.297255 + 0.514860i
\(188\) −82927.7 −0.171122
\(189\) 299407. + 518587.i 0.609687 + 1.05601i
\(190\) 785097. + 1.35983e6i 1.57775 + 2.73275i
\(191\) −103436. + 179157.i −0.205158 + 0.355344i −0.950183 0.311692i \(-0.899104\pi\)
0.745025 + 0.667037i \(0.232438\pi\)
\(192\) −79872.3 + 138343.i −0.156366 + 0.270834i
\(193\) −860957. −1.66375 −0.831876 0.554962i \(-0.812733\pi\)
−0.831876 + 0.554962i \(0.812733\pi\)
\(194\) 879548. 1.67786
\(195\) 488008. 845254.i 0.919052 1.59185i
\(196\) −36053.7 + 62446.8i −0.0670362 + 0.116110i
\(197\) −155564. 269445.i −0.285591 0.494657i 0.687162 0.726505i \(-0.258856\pi\)
−0.972752 + 0.231847i \(0.925523\pi\)
\(198\) 14157.7 + 24521.8i 0.0256643 + 0.0444518i
\(199\) −109969. −0.196851 −0.0984254 0.995144i \(-0.531381\pi\)
−0.0984254 + 0.995144i \(0.531381\pi\)
\(200\) 210311. + 364269.i 0.371781 + 0.643943i
\(201\) 10521.4 + 18223.6i 0.0183689 + 0.0318158i
\(202\) −17994.6 31167.6i −0.0310288 0.0537434i
\(203\) −170411. + 295161.i −0.290241 + 0.502712i
\(204\) −420125. −0.706811
\(205\) −7695.42 + 13328.9i −0.0127893 + 0.0221518i
\(206\) −131885. 228432.i −0.216535 0.375050i
\(207\) −133423. −0.216424
\(208\) −534779. 926265.i −0.857070 1.48449i
\(209\) 185016. 320456.i 0.292983 0.507462i
\(210\) −581301. + 1.00684e6i −0.909604 + 1.57548i
\(211\) −922584. −1.42659 −0.713296 0.700863i \(-0.752798\pi\)
−0.713296 + 0.700863i \(0.752798\pi\)
\(212\) −146654. + 254012.i −0.224107 + 0.388164i
\(213\) −1.00008e6 −1.51038
\(214\) −192141. −0.286804
\(215\) −517216. + 821720.i −0.763090 + 1.21235i
\(216\) 511948. 0.746605
\(217\) −341909. −0.492902
\(218\) 430312. 745323.i 0.613257 1.06219i
\(219\) 184394. 0.259798
\(220\) −65370.4 + 113225.i −0.0910593 + 0.157719i
\(221\) −946241. + 1.63894e6i −1.30323 + 2.25726i
\(222\) 121857. + 211062.i 0.165946 + 0.287427i
\(223\) 1.06974e6 1.44051 0.720254 0.693711i \(-0.244025\pi\)
0.720254 + 0.693711i \(0.244025\pi\)
\(224\) 330705. + 572798.i 0.440373 + 0.762748i
\(225\) 54922.4 95128.4i 0.0723258 0.125272i
\(226\) −137853. −0.179534
\(227\) 22321.9 38662.7i 0.0287520 0.0497999i −0.851291 0.524693i \(-0.824180\pi\)
0.880043 + 0.474893i \(0.157513\pi\)
\(228\) 273417. + 473571.i 0.348327 + 0.603321i
\(229\) −45194.2 78278.6i −0.0569500 0.0986403i 0.836145 0.548509i \(-0.184804\pi\)
−0.893095 + 0.449868i \(0.851471\pi\)
\(230\) −1.07157e6 1.85601e6i −1.33567 2.31346i
\(231\) 273978. 0.337820
\(232\) 145691. + 252344.i 0.177711 + 0.307804i
\(233\) 357205. + 618696.i 0.431050 + 0.746600i 0.996964 0.0778643i \(-0.0248101\pi\)
−0.565914 + 0.824464i \(0.691477\pi\)
\(234\) −94245.6 + 163238.i −0.112518 + 0.194887i
\(235\) 257208. 445497.i 0.303819 0.526230i
\(236\) −223574. −0.261302
\(237\) −382798. −0.442689
\(238\) 1.12713e6 1.95225e6i 1.28983 2.23406i
\(239\) 429861. 744541.i 0.486781 0.843129i −0.513104 0.858327i \(-0.671504\pi\)
0.999885 + 0.0151974i \(0.00483768\pi\)
\(240\) 736438. + 1.27555e6i 0.825293 + 1.42945i
\(241\) −160818. 278546.i −0.178358 0.308926i 0.762960 0.646446i \(-0.223745\pi\)
−0.941318 + 0.337520i \(0.890412\pi\)
\(242\) −972093. −1.06701
\(243\) −125615. 217571.i −0.136466 0.236366i
\(244\) 193918. + 335876.i 0.208518 + 0.361164i
\(245\) −223648. 387369.i −0.238040 0.412297i
\(246\) −9323.16 + 16148.2i −0.00982257 + 0.0170132i
\(247\) 2.46325e6 2.56901
\(248\) −146155. + 253148.i −0.150899 + 0.261364i
\(249\) 216614. + 375186.i 0.221405 + 0.383485i
\(250\) 87366.9 0.0884091
\(251\) −710851. 1.23123e6i −0.712187 1.23354i −0.964035 0.265777i \(-0.914372\pi\)
0.251848 0.967767i \(-0.418962\pi\)
\(252\) 32270.5 55894.2i 0.0320114 0.0554453i
\(253\) −252526. + 437387.i −0.248030 + 0.429601i
\(254\) 658533. 0.640462
\(255\) 1.30306e6 2.25696e6i 1.25491 2.17357i
\(256\) 1.09029e6 1.03978
\(257\) 1.11378e6 1.05188 0.525942 0.850520i \(-0.323713\pi\)
0.525942 + 0.850520i \(0.323713\pi\)
\(258\) −626618. + 995530.i −0.586075 + 0.931119i
\(259\) −375904. −0.348199
\(260\) −870323. −0.798449
\(261\) 38047.0 65899.4i 0.0345716 0.0598798i
\(262\) 634066. 0.570665
\(263\) −137625. + 238373.i −0.122689 + 0.212504i −0.920827 0.389971i \(-0.872485\pi\)
0.798138 + 0.602475i \(0.205819\pi\)
\(264\) 117117. 202853.i 0.103421 0.179131i
\(265\) −909723. 1.57569e6i −0.795783 1.37834i
\(266\) −2.93415e6 −2.54260
\(267\) 457327. + 792113.i 0.392598 + 0.680000i
\(268\) 9382.02 16250.1i 0.00797920 0.0138204i
\(269\) 1.40639e6 1.18502 0.592509 0.805564i \(-0.298137\pi\)
0.592509 + 0.805564i \(0.298137\pi\)
\(270\) 1.07375e6 1.85978e6i 0.896381 1.55258i
\(271\) 970874. + 1.68160e6i 0.803044 + 1.39091i 0.917603 + 0.397497i \(0.130121\pi\)
−0.114559 + 0.993416i \(0.536545\pi\)
\(272\) −1.42795e6 2.47327e6i −1.17028 2.02698i
\(273\) 911917. + 1.57949e6i 0.740540 + 1.28265i
\(274\) 2.91551e6 2.34605
\(275\) −207900. 360093.i −0.165776 0.287133i
\(276\) −373183. 646372.i −0.294883 0.510752i
\(277\) 31373.2 54340.0i 0.0245674 0.0425521i −0.853480 0.521125i \(-0.825512\pi\)
0.878048 + 0.478573i \(0.158846\pi\)
\(278\) −708782. + 1.22765e6i −0.550048 + 0.952712i
\(279\) 76336.4 0.0587113
\(280\) −1.53307e6 −1.16860
\(281\) 713099. 1.23512e6i 0.538746 0.933136i −0.460226 0.887802i \(-0.652232\pi\)
0.998972 0.0453337i \(-0.0144351\pi\)
\(282\) 311613. 539729.i 0.233342 0.404160i
\(283\) 653541. + 1.13197e6i 0.485073 + 0.840170i 0.999853 0.0171517i \(-0.00545984\pi\)
−0.514780 + 0.857322i \(0.672127\pi\)
\(284\) 445890. + 772304.i 0.328044 + 0.568188i
\(285\) −3.39211e6 −2.47376
\(286\) 356751. + 617910.i 0.257899 + 0.446694i
\(287\) −14380.1 24907.0i −0.0103052 0.0178491i
\(288\) −73835.1 127886.i −0.0524544 0.0908536i
\(289\) −1.81668e6 + 3.14659e6i −1.27948 + 2.21613i
\(290\) 1.22228e6 0.853443
\(291\) −950049. + 1.64553e6i −0.657678 + 1.13913i
\(292\) −82212.8 142397.i −0.0564264 0.0977334i
\(293\) 154259. 0.104974 0.0524870 0.998622i \(-0.483285\pi\)
0.0524870 + 0.998622i \(0.483285\pi\)
\(294\) −270954. 469306.i −0.182821 0.316656i
\(295\) 693437. 1.20107e6i 0.463929 0.803549i
\(296\) −160687. + 278318.i −0.106599 + 0.184634i
\(297\) −506078. −0.332909
\(298\) −949036. + 1.64378e6i −0.619073 + 1.07227i
\(299\) −3.36206e6 −2.17484
\(300\) 614469. 0.394182
\(301\) −846541. 1.60477e6i −0.538557 1.02093i
\(302\) 118959. 0.0750548
\(303\) 77748.1 0.0486500
\(304\) −1.85861e6 + 3.21920e6i −1.15346 + 1.99786i
\(305\) −2.40582e6 −1.48086
\(306\) −251651. + 435871.i −0.153636 + 0.266106i
\(307\) 914488. 1.58394e6i 0.553773 0.959163i −0.444225 0.895915i \(-0.646521\pi\)
0.997998 0.0632479i \(-0.0201459\pi\)
\(308\) −122155. 211578.i −0.0733724 0.127085i
\(309\) 569827. 0.339505
\(310\) 613085. + 1.06189e6i 0.362340 + 0.627591i
\(311\) 515362. 892633.i 0.302142 0.523326i −0.674479 0.738294i \(-0.735632\pi\)
0.976621 + 0.214969i \(0.0689649\pi\)
\(312\) 1.55926e6 0.906845
\(313\) −906617. + 1.57031e6i −0.523074 + 0.905990i 0.476566 + 0.879139i \(0.341881\pi\)
−0.999639 + 0.0268513i \(0.991452\pi\)
\(314\) 531891. + 921262.i 0.304438 + 0.527301i
\(315\) 200180. + 346722.i 0.113670 + 0.196881i
\(316\) 170672. + 295613.i 0.0961491 + 0.166535i
\(317\) −3.17573e6 −1.77499 −0.887495 0.460818i \(-0.847556\pi\)
−0.887495 + 0.460818i \(0.847556\pi\)
\(318\) −1.10215e6 1.90898e6i −0.611184 1.05860i
\(319\) −144021. 249451.i −0.0792406 0.137249i
\(320\) −441809. + 765236.i −0.241190 + 0.417754i
\(321\) 207542. 359474.i 0.112420 0.194717i
\(322\) 4.00478e6 2.15248
\(323\) 6.57725e6 3.50783
\(324\) 321538. 556920.i 0.170165 0.294734i
\(325\) 1.38396e6 2.39709e6i 0.726799 1.25885i
\(326\) −702832. 1.21734e6i −0.366275 0.634407i
\(327\) 929609. + 1.61013e6i 0.480763 + 0.832706i
\(328\) −24588.1 −0.0126194
\(329\) 480632. + 832480.i 0.244807 + 0.424018i
\(330\) −491277. 850917.i −0.248337 0.430133i
\(331\) 231514. + 400994.i 0.116147 + 0.201172i 0.918238 0.396030i \(-0.129612\pi\)
−0.802091 + 0.597202i \(0.796279\pi\)
\(332\) 193157. 334557.i 0.0961755 0.166581i
\(333\) 83926.4 0.0414752
\(334\) 689939. 1.19501e6i 0.338411 0.586145i
\(335\) 58198.4 + 100803.i 0.0283334 + 0.0490749i
\(336\) −2.75229e6 −1.32999
\(337\) 510042. + 883419.i 0.244642 + 0.423733i 0.962031 0.272940i \(-0.0879962\pi\)
−0.717389 + 0.696673i \(0.754663\pi\)
\(338\) −1.13074e6 + 1.95849e6i −0.538356 + 0.932461i
\(339\) 148903. 257908.i 0.0703728 0.121889i
\(340\) −2.32390e6 −1.09023
\(341\) 144479. 250246.i 0.0672852 0.116541i
\(342\) 655094. 0.302858
\(343\) −1.67919e6 −0.770662
\(344\) −1.55003e6 59210.0i −0.706228 0.0269773i
\(345\) 4.62985e6 2.09420
\(346\) 1.28673e6 0.577824
\(347\) −879171. + 1.52277e6i −0.391967 + 0.678907i −0.992709 0.120536i \(-0.961539\pi\)
0.600742 + 0.799443i \(0.294872\pi\)
\(348\) 425668. 0.188418
\(349\) 1.53484e6 2.65843e6i 0.674529 1.16832i −0.302077 0.953284i \(-0.597680\pi\)
0.976606 0.215036i \(-0.0689868\pi\)
\(350\) −1.64853e6 + 2.85534e6i −0.719328 + 1.24591i
\(351\) −1.68444e6 2.91754e6i −0.729774 1.26401i
\(352\) −558980. −0.240458
\(353\) −999829. 1.73175e6i −0.427060 0.739689i 0.569550 0.821956i \(-0.307117\pi\)
−0.996610 + 0.0822669i \(0.973784\pi\)
\(354\) 840113. 1.45512e6i 0.356311 0.617149i
\(355\) −5.53188e6 −2.32971
\(356\) 407803. 706335.i 0.170540 0.295383i
\(357\) 2.43496e6 + 4.21748e6i 1.01116 + 1.75139i
\(358\) −1.06895e6 1.85148e6i −0.440809 0.763504i
\(359\) 451611. + 782214.i 0.184939 + 0.320324i 0.943556 0.331213i \(-0.107458\pi\)
−0.758617 + 0.651537i \(0.774125\pi\)
\(360\) 342283. 0.139197
\(361\) −3.04241e6 5.26961e6i −1.22871 2.12819i
\(362\) 283287. + 490668.i 0.113620 + 0.196796i
\(363\) 1.05001e6 1.81867e6i 0.418242 0.724416i
\(364\) 813166. 1.40844e6i 0.321681 0.557168i
\(365\) 1.01996e6 0.400730
\(366\) −2.91470e6 −1.13734
\(367\) −841055. + 1.45675e6i −0.325956 + 0.564573i −0.981705 0.190406i \(-0.939020\pi\)
0.655749 + 0.754979i \(0.272353\pi\)
\(368\) 2.53679e6 4.39385e6i 0.976484 1.69132i
\(369\) 3210.57 + 5560.88i 0.00122749 + 0.00212607i
\(370\) 674043. + 1.16748e6i 0.255966 + 0.443347i
\(371\) 3.39991e6 1.28243
\(372\) 213512. + 369813.i 0.0799954 + 0.138556i
\(373\) 1.39183e6 + 2.41071e6i 0.517980 + 0.897167i 0.999782 + 0.0208873i \(0.00664912\pi\)
−0.481802 + 0.876280i \(0.660018\pi\)
\(374\) 952580. + 1.64992e6i 0.352146 + 0.609935i
\(375\) −94369.9 + 163453.i −0.0346541 + 0.0600227i
\(376\) 821821. 0.299783
\(377\) 958725. 1.66056e6i 0.347409 0.601729i
\(378\) 2.00646e6 + 3.47529e6i 0.722272 + 1.25101i
\(379\) 1.42785e6 0.510603 0.255302 0.966861i \(-0.417825\pi\)
0.255302 + 0.966861i \(0.417825\pi\)
\(380\) 1.51239e6 + 2.61953e6i 0.537284 + 0.930604i
\(381\) −711318. + 1.23204e6i −0.251045 + 0.434823i
\(382\) −693172. + 1.20061e6i −0.243043 + 0.420962i
\(383\) 1.85487e6 0.646124 0.323062 0.946378i \(-0.395288\pi\)
0.323062 + 0.946378i \(0.395288\pi\)
\(384\) −1.55908e6 + 2.70041e6i −0.539561 + 0.934547i
\(385\) 1.51549e6 0.521078
\(386\) −5.76967e6 −1.97098
\(387\) 189004. + 358289.i 0.0641494 + 0.121606i
\(388\) 1.69434e6 0.571374
\(389\) 2.61813e6 0.877238 0.438619 0.898673i \(-0.355468\pi\)
0.438619 + 0.898673i \(0.355468\pi\)
\(390\) 3.27036e6 5.66443e6i 1.08877 1.88580i
\(391\) −8.97722e6 −2.96961
\(392\) 357295. 618853.i 0.117439 0.203410i
\(393\) −684890. + 1.18626e6i −0.223686 + 0.387436i
\(394\) −1.04251e6 1.80567e6i −0.338328 0.586001i
\(395\) −2.11742e6 −0.682834
\(396\) 27272.9 + 47238.1i 0.00873964 + 0.0151375i
\(397\) 2.05810e6 3.56473e6i 0.655374 1.13514i −0.326425 0.945223i \(-0.605844\pi\)
0.981800 0.189919i \(-0.0608225\pi\)
\(398\) −736952. −0.233201
\(399\) 3.16933e6 5.48945e6i 0.996634 1.72622i
\(400\) 2.08849e6 + 3.61737e6i 0.652653 + 1.13043i
\(401\) 267212. + 462825.i 0.0829842 + 0.143733i 0.904530 0.426409i \(-0.140222\pi\)
−0.821546 + 0.570142i \(0.806888\pi\)
\(402\) 70508.5 + 122124.i 0.0217609 + 0.0376909i
\(403\) 1.92356e6 0.589987
\(404\) −34664.4 60040.5i −0.0105665 0.0183017i
\(405\) 1.99456e6 + 3.45468e6i 0.604240 + 1.04657i
\(406\) −1.14200e6 + 1.97801e6i −0.343837 + 0.595543i
\(407\) 158845. 275127.i 0.0475321 0.0823279i
\(408\) 4.16348e6 1.23824
\(409\) −2.78895e6 −0.824389 −0.412195 0.911096i \(-0.635238\pi\)
−0.412195 + 0.911096i \(0.635238\pi\)
\(410\) −51570.5 + 89322.7i −0.0151510 + 0.0262423i
\(411\) −3.14920e6 + 5.45458e6i −0.919595 + 1.59278i
\(412\) −254060. 440045.i −0.0737384 0.127719i
\(413\) 1.29579e6 + 2.24438e6i 0.373818 + 0.647472i
\(414\) −894130. −0.256389
\(415\) 1.19819e6 + 2.07532e6i 0.341510 + 0.591513i
\(416\) −1.86053e6 3.22253e6i −0.527112 0.912984i
\(417\) −1.53119e6 2.65210e6i −0.431210 0.746878i
\(418\) 1.23987e6 2.14752e6i 0.347086 0.601170i
\(419\) −4.86995e6 −1.35516 −0.677578 0.735451i \(-0.736970\pi\)
−0.677578 + 0.735451i \(0.736970\pi\)
\(420\) −1.11980e6 + 1.93955e6i −0.309754 + 0.536510i
\(421\) −2.26694e6 3.92645e6i −0.623354 1.07968i −0.988857 0.148870i \(-0.952436\pi\)
0.365503 0.930810i \(-0.380897\pi\)
\(422\) −6.18265e6 −1.69003
\(423\) −107309. 185864.i −0.0291598 0.0505062i
\(424\) 1.45336e6 2.51729e6i 0.392606 0.680014i
\(425\) 3.69539e6 6.40060e6i 0.992402 1.71889i
\(426\) −6.70198e6 −1.78928
\(427\) 2.24782e6 3.89334e6i 0.596613 1.03336i
\(428\) −370135. −0.0976676
\(429\) −1.54138e6 −0.404360
\(430\) −3.46610e6 + 5.50672e6i −0.904003 + 1.43622i
\(431\) 1.87803e6 0.486977 0.243489 0.969904i \(-0.421708\pi\)
0.243489 + 0.969904i \(0.421708\pi\)
\(432\) 5.08389e6 1.31065
\(433\) 2.05652e6 3.56199e6i 0.527124 0.913006i −0.472376 0.881397i \(-0.656604\pi\)
0.999500 0.0316087i \(-0.0100630\pi\)
\(434\) −2.29128e6 −0.583922
\(435\) −1.32025e6 + 2.28674e6i −0.334528 + 0.579420i
\(436\) 828941. 1.43577e6i 0.208837 0.361716i
\(437\) 5.84235e6 + 1.01192e7i 1.46347 + 2.53481i
\(438\) 1.23571e6 0.307772
\(439\) 579055. + 1.00295e6i 0.143403 + 0.248382i 0.928776 0.370641i \(-0.120862\pi\)
−0.785373 + 0.619023i \(0.787529\pi\)
\(440\) 647826. 1.12207e6i 0.159524 0.276304i
\(441\) −186614. −0.0456929
\(442\) −6.34119e6 + 1.09833e7i −1.54389 + 2.67409i
\(443\) −33352.8 57768.7i −0.00807463 0.0139857i 0.861960 0.506977i \(-0.169237\pi\)
−0.870034 + 0.492991i \(0.835904\pi\)
\(444\) 234741. + 406583.i 0.0565108 + 0.0978796i
\(445\) 2.52968e6 + 4.38153e6i 0.605571 + 1.04888i
\(446\) 7.16881e6 1.70651
\(447\) −2.05021e6 3.55107e6i −0.485322 0.840603i
\(448\) −825587. 1.42996e6i −0.194343 0.336611i
\(449\) 988357. 1.71188e6i 0.231365 0.400736i −0.726845 0.686802i \(-0.759014\pi\)
0.958210 + 0.286065i \(0.0923475\pi\)
\(450\) 368060. 637499.i 0.0856816 0.148405i
\(451\) 24306.2 0.00562698
\(452\) −265557. −0.0611381
\(453\) −128494. + 222558.i −0.0294196 + 0.0509562i
\(454\) 149590. 259097.i 0.0340613 0.0589959i
\(455\) 5.04422e6 + 8.73684e6i 1.14226 + 1.97845i
\(456\) −2.70958e6 4.69313e6i −0.610225 1.05694i
\(457\) −5.08786e6 −1.13958 −0.569790 0.821790i \(-0.692976\pi\)
−0.569790 + 0.821790i \(0.692976\pi\)
\(458\) −302867. 524581.i −0.0674665 0.116855i
\(459\) −4.49773e6 7.79030e6i −0.996464 1.72593i
\(460\) −2.06424e6 3.57537e6i −0.454847 0.787819i
\(461\) −881697. + 1.52714e6i −0.193227 + 0.334678i −0.946318 0.323238i \(-0.895229\pi\)
0.753091 + 0.657916i \(0.228562\pi\)
\(462\) 1.83605e6 0.400203
\(463\) −1.07000e6 + 1.85330e6i −0.231970 + 0.401784i −0.958388 0.285469i \(-0.907851\pi\)
0.726418 + 0.687254i \(0.241184\pi\)
\(464\) 1.44678e6 + 2.50590e6i 0.311967 + 0.540343i
\(465\) −2.64891e6 −0.568113
\(466\) 2.39379e6 + 4.14617e6i 0.510648 + 0.884467i
\(467\) 1.55319e6 2.69020e6i 0.329558 0.570811i −0.652866 0.757473i \(-0.726434\pi\)
0.982424 + 0.186662i \(0.0597671\pi\)
\(468\) −181552. + 314457.i −0.0383165 + 0.0663662i
\(469\) −217505. −0.0456601
\(470\) 1.72367e6 2.98548e6i 0.359922 0.623404i
\(471\) −2.29810e6 −0.477328
\(472\) 2.21564e6 0.457767
\(473\) 1.53226e6 + 58531.1i 0.314905 + 0.0120291i
\(474\) −2.56530e6 −0.524436
\(475\) −9.61979e6 −1.95628
\(476\) 2.17128e6 3.76077e6i 0.439237 0.760780i
\(477\) −759084. −0.152754
\(478\) 2.88070e6 4.98951e6i 0.576670 0.998822i
\(479\) −4.43049e6 + 7.67384e6i −0.882294 + 1.52818i −0.0335093 + 0.999438i \(0.510668\pi\)
−0.848784 + 0.528739i \(0.822665\pi\)
\(480\) 2.56211e6 + 4.43770e6i 0.507568 + 0.879134i
\(481\) 2.11481e6 0.416782
\(482\) −1.07772e6 1.86666e6i −0.211294 0.365972i
\(483\) −4.32579e6 + 7.49248e6i −0.843718 + 1.46136i
\(484\) −1.87261e6 −0.363358
\(485\) −5.25514e6 + 9.10217e6i −1.01445 + 1.75708i
\(486\) −841800. 1.45804e6i −0.161666 0.280014i
\(487\) 4.51371e6 + 7.81797e6i 0.862405 + 1.49373i 0.869601 + 0.493754i \(0.164376\pi\)
−0.00719675 + 0.999974i \(0.502291\pi\)
\(488\) −1.92175e6 3.32856e6i −0.365298 0.632714i
\(489\) 3.03667e6 0.574283
\(490\) −1.49876e6 2.59594e6i −0.281996 0.488432i
\(491\) −1.09845e6 1.90256e6i −0.205625 0.356152i 0.744707 0.667392i \(-0.232589\pi\)
−0.950332 + 0.311239i \(0.899256\pi\)
\(492\) −17959.9 + 31107.4i −0.00334495 + 0.00579363i
\(493\) 2.55995e6 4.43396e6i 0.474366 0.821626i
\(494\) 1.65073e7 3.04340
\(495\) −338358. −0.0620674
\(496\) −1.45139e6 + 2.51388e6i −0.264899 + 0.458819i
\(497\) 5.16858e6 8.95224e6i 0.938599 1.62570i
\(498\) 1.45163e6 + 2.51429e6i 0.262290 + 0.454299i
\(499\) 3.02136e6 + 5.23315e6i 0.543189 + 0.940832i 0.998718 + 0.0506108i \(0.0161168\pi\)
−0.455529 + 0.890221i \(0.650550\pi\)
\(500\) 168301. 0.0301066
\(501\) 1.49048e6 + 2.58159e6i 0.265297 + 0.459508i
\(502\) −4.76373e6 8.25103e6i −0.843700 1.46133i
\(503\) −5.26666e6 9.12213e6i −0.928145 1.60759i −0.786424 0.617687i \(-0.788070\pi\)
−0.141720 0.989907i \(-0.545263\pi\)
\(504\) −319804. + 553916.i −0.0560799 + 0.0971332i
\(505\) 430059. 0.0750412
\(506\) −1.69229e6 + 2.93113e6i −0.293831 + 0.508931i
\(507\) −2.44274e6 4.23096e6i −0.422044 0.731002i
\(508\) 1.26858e6 0.218101
\(509\) −3.64087e6 6.30617e6i −0.622889 1.07887i −0.988945 0.148282i \(-0.952626\pi\)
0.366056 0.930593i \(-0.380708\pi\)
\(510\) 8.73238e6 1.51249e7i 1.48665 2.57494i
\(511\) −952978. + 1.65061e6i −0.161447 + 0.279635i
\(512\) 414251. 0.0698375
\(513\) −5.85422e6 + 1.01398e7i −0.982145 + 1.70113i
\(514\) 7.46397e6 1.24613
\(515\) 3.15196e6 0.523677
\(516\) −1.20710e6 + 1.91776e6i −0.199581 + 0.317081i
\(517\) −812398. −0.133673
\(518\) −2.51910e6 −0.412498
\(519\) −1.38986e6 + 2.40731e6i −0.226492 + 0.392296i
\(520\) 8.62498e6 1.39878
\(521\) 4.07788e6 7.06309e6i 0.658172 1.13999i −0.322916 0.946428i \(-0.604663\pi\)
0.981088 0.193560i \(-0.0620036\pi\)
\(522\) 254971. 441622.i 0.0409556 0.0709372i
\(523\) 1.09579e6 + 1.89797e6i 0.175176 + 0.303414i 0.940222 0.340562i \(-0.110617\pi\)
−0.765046 + 0.643975i \(0.777284\pi\)
\(524\) 1.22145e6 0.194333
\(525\) −3.56134e6 6.16842e6i −0.563917 0.976732i
\(526\) −922285. + 1.59744e6i −0.145345 + 0.251745i
\(527\) 5.13620e6 0.805593
\(528\) 1.16303e6 2.01443e6i 0.181554 0.314461i
\(529\) −4.75598e6 8.23761e6i −0.738926 1.27986i
\(530\) −6.09647e6 1.05594e7i −0.942733 1.63286i
\(531\) −289306. 501093.i −0.0445268 0.0771226i
\(532\) −5.65225e6 −0.865850
\(533\) 80901.4 + 140125.i 0.0123350 + 0.0213648i
\(534\) 3.06475e6 + 5.30831e6i 0.465096 + 0.805569i
\(535\) 1.14801e6 1.98841e6i 0.173405 0.300345i
\(536\) −92976.6 + 161040.i −0.0139785 + 0.0242115i
\(537\) 4.61854e6 0.691145
\(538\) 9.42486e6 1.40384
\(539\) −353198. + 611757.i −0.0523657 + 0.0907000i
\(540\) 2.06844e6 3.58263e6i 0.305251 0.528711i
\(541\) 326611. + 565707.i 0.0479776 + 0.0830996i 0.889017 0.457874i \(-0.151389\pi\)
−0.841039 + 0.540974i \(0.818056\pi\)
\(542\) 6.50627e6 + 1.12692e7i 0.951335 + 1.64776i
\(543\) −1.22398e6 −0.178145
\(544\) −4.96790e6 8.60465e6i −0.719740 1.24663i
\(545\) 5.14208e6 + 8.90634e6i 0.741562 + 1.28442i
\(546\) 6.11117e6 + 1.05849e7i 0.877289 + 1.51951i
\(547\) −345049. + 597643.i −0.0493075 + 0.0854031i −0.889626 0.456690i \(-0.849035\pi\)
0.840318 + 0.542093i \(0.182368\pi\)
\(548\) 5.61636e6 0.798920
\(549\) −501862. + 869250.i −0.0710646 + 0.123087i
\(550\) −1.39323e6 2.41314e6i −0.196388 0.340155i
\(551\) −6.66403e6 −0.935099
\(552\) 3.69828e6 + 6.40560e6i 0.516597 + 0.894772i
\(553\) 1.97836e6 3.42663e6i 0.275102 0.476490i
\(554\) 210246. 364157.i 0.0291041 0.0504098i
\(555\) −2.91228e6 −0.401330
\(556\) −1.36538e6 + 2.36490e6i −0.187312 + 0.324434i
\(557\) −8.71526e6 −1.19026 −0.595131 0.803629i \(-0.702900\pi\)
−0.595131 + 0.803629i \(0.702900\pi\)
\(558\) 511565. 0.0695529
\(559\) 4.76259e6 + 9.02831e6i 0.644635 + 1.22202i
\(560\) −1.52242e7 −2.05146
\(561\) −4.11574e6 −0.552129
\(562\) 4.77880e6 8.27713e6i 0.638231 1.10545i
\(563\) 3.56075e6 0.473447 0.236723 0.971577i \(-0.423927\pi\)
0.236723 + 0.971577i \(0.423927\pi\)
\(564\) 600282. 1.03972e6i 0.0794616 0.137632i
\(565\) 823650. 1.42660e6i 0.108548 0.188010i
\(566\) 4.37968e6 + 7.58582e6i 0.574647 + 0.995317i
\(567\) −7.45428e6 −0.973751
\(568\) −4.41881e6 7.65360e6i −0.574691 0.995394i
\(569\) −2.72714e6 + 4.72354e6i −0.353123 + 0.611628i −0.986795 0.161975i \(-0.948214\pi\)
0.633672 + 0.773602i \(0.281547\pi\)
\(570\) −2.27320e7 −2.93057
\(571\) 2.43360e6 4.21512e6i 0.312362 0.541027i −0.666511 0.745495i \(-0.732213\pi\)
0.978873 + 0.204468i \(0.0655464\pi\)
\(572\) 687234. + 1.19032e6i 0.0878243 + 0.152116i
\(573\) −1.49747e6 2.59369e6i −0.190533 0.330013i
\(574\) −96367.3 166913.i −0.0122082 0.0211451i
\(575\) 1.31299e7 1.65612
\(576\) 184325. + 319261.i 0.0231488 + 0.0400949i
\(577\) 5.49945e6 + 9.52532e6i 0.687669 + 1.19108i 0.972590 + 0.232527i \(0.0746993\pi\)
−0.284921 + 0.958551i \(0.591967\pi\)
\(578\) −1.21744e7 + 2.10867e7i −1.51576 + 2.62537i
\(579\) 6.23214e6 1.07944e7i 0.772575 1.33814i
\(580\) 2.35456e6 0.290629
\(581\) −4.47799e6 −0.550354
\(582\) −6.36671e6 + 1.10275e7i −0.779125 + 1.34948i
\(583\) −1.43669e6 + 2.48842e6i −0.175062 + 0.303216i
\(584\) 814736. + 1.41116e6i 0.0988519 + 0.171216i
\(585\) −1.12620e6 1.95064e6i −0.136059 0.235660i
\(586\) 1.03376e6 0.124358
\(587\) −5.21729e6 9.03661e6i −0.624956 1.08246i −0.988549 0.150898i \(-0.951783\pi\)
0.363593 0.931558i \(-0.381550\pi\)
\(588\) −521957. 904057.i −0.0622575 0.107833i
\(589\) −3.34263e6 5.78960e6i −0.397008 0.687638i
\(590\) 4.64704e6 8.04890e6i 0.549599 0.951933i
\(591\) 4.50428e6 0.530464
\(592\) −1.59570e6 + 2.76384e6i −0.187132 + 0.324122i
\(593\) 3.21382e6 + 5.56651e6i 0.375306 + 0.650049i 0.990373 0.138426i \(-0.0442044\pi\)
−0.615067 + 0.788475i \(0.710871\pi\)
\(594\) −3.39146e6 −0.394385
\(595\) 1.34689e7 + 2.33287e7i 1.55969 + 2.70146i
\(596\) −1.82820e6 + 3.16653e6i −0.210818 + 0.365147i
\(597\) 796022. 1.37875e6i 0.0914091 0.158325i
\(598\) −2.25307e7 −2.57645
\(599\) −6.80546e6 + 1.17874e7i −0.774980 + 1.34231i 0.159825 + 0.987145i \(0.448907\pi\)
−0.934806 + 0.355160i \(0.884426\pi\)
\(600\) −6.08944e6 −0.690557
\(601\) 7.75878e6 0.876209 0.438104 0.898924i \(-0.355650\pi\)
0.438104 + 0.898924i \(0.355650\pi\)
\(602\) −5.67306e6 1.07543e7i −0.638008 1.20945i
\(603\) 48561.4 0.00543874
\(604\) 229158. 0.0255590
\(605\) 5.80808e6 1.00599e7i 0.645125 1.11739i
\(606\) 521025. 0.0576338
\(607\) −2.10666e6 + 3.64884e6i −0.232072 + 0.401961i −0.958418 0.285369i \(-0.907884\pi\)
0.726346 + 0.687330i \(0.241217\pi\)
\(608\) −6.46619e6 + 1.11998e7i −0.709397 + 1.22871i
\(609\) −2.46709e6 4.27312e6i −0.269551 0.466876i
\(610\) −1.61225e7 −1.75432
\(611\) −2.70401e6 4.68348e6i −0.293025 0.507535i
\(612\) −484772. + 839650.i −0.0523190 + 0.0906191i
\(613\) 5.01051e6 0.538556 0.269278 0.963062i \(-0.413215\pi\)
0.269278 + 0.963062i \(0.413215\pi\)
\(614\) 6.12840e6 1.06147e7i 0.656033 1.13628i
\(615\) −111408. 192965.i −0.0118776 0.0205727i
\(616\) 1.21056e6 + 2.09676e6i 0.128539 + 0.222636i
\(617\) 4.47750e6 + 7.75526e6i 0.473503 + 0.820131i 0.999540 0.0303305i \(-0.00965597\pi\)
−0.526037 + 0.850462i \(0.676323\pi\)
\(618\) 3.81867e6 0.402199
\(619\) 1.73192e6 + 2.99977e6i 0.181677 + 0.314674i 0.942452 0.334342i \(-0.108514\pi\)
−0.760775 + 0.649016i \(0.775181\pi\)
\(620\) 1.18103e6 + 2.04560e6i 0.123390 + 0.213718i
\(621\) 7.99036e6 1.38397e7i 0.831452 1.44012i
\(622\) 3.45367e6 5.98194e6i 0.357936 0.619963i
\(623\) −9.45417e6 −0.975895
\(624\) 1.54842e7 1.59195
\(625\) 4.61519e6 7.99374e6i 0.472595 0.818559i
\(626\) −6.07565e6 + 1.05233e7i −0.619665 + 1.07329i
\(627\) 2.67851e6 + 4.63932e6i 0.272098 + 0.471287i
\(628\) 1.02462e6 + 1.77469e6i 0.103672 + 0.179566i
\(629\) 5.64688e6 0.569092
\(630\) 1.34150e6 + 2.32354e6i 0.134660 + 0.233238i
\(631\) −9.19741e6 1.59304e7i −0.919586 1.59277i −0.800045 0.599940i \(-0.795191\pi\)
−0.119540 0.992829i \(-0.538142\pi\)
\(632\) −1.69138e6 2.92955e6i −0.168441 0.291748i
\(633\) 6.67823e6 1.15670e7i 0.662448 1.14739i
\(634\) −2.12820e7 −2.10276
\(635\) −3.93462e6 + 6.81495e6i −0.387229 + 0.670701i
\(636\) −2.12315e6 3.67740e6i −0.208131 0.360494i
\(637\) −4.70238e6 −0.459166
\(638\) −965148. 1.67168e6i −0.0938733 0.162593i
\(639\) −1.15397e6 + 1.99873e6i −0.111800 + 0.193643i
\(640\) −8.62397e6 + 1.49371e7i −0.832256 + 1.44151i
\(641\) 1.82412e7 1.75351 0.876756 0.480936i \(-0.159703\pi\)
0.876756 + 0.480936i \(0.159703\pi\)
\(642\) 1.39083e6 2.40900e6i 0.133180 0.230674i
\(643\) 7.75417e6 0.739619 0.369809 0.929108i \(-0.379423\pi\)
0.369809 + 0.929108i \(0.379423\pi\)
\(644\) 7.71470e6 0.733000
\(645\) −6.55851e6 1.24328e7i −0.620734 1.17671i
\(646\) 4.40772e7 4.15559
\(647\) 1.50603e7 1.41440 0.707199 0.707014i \(-0.249958\pi\)
0.707199 + 0.707014i \(0.249958\pi\)
\(648\) −3.18647e6 + 5.51913e6i −0.298107 + 0.516336i
\(649\) −2.19024e6 −0.204117
\(650\) 9.27453e6 1.60640e7i 0.861011 1.49131i
\(651\) 2.47494e6 4.28673e6i 0.228883 0.396436i
\(652\) −1.35392e6 2.34505e6i −0.124730 0.216040i
\(653\) −1.72831e7 −1.58613 −0.793064 0.609138i \(-0.791515\pi\)
−0.793064 + 0.609138i \(0.791515\pi\)
\(654\) 6.22973e6 + 1.07902e7i 0.569541 + 0.986474i
\(655\) −3.78843e6 + 6.56175e6i −0.345029 + 0.597608i
\(656\) −244172. −0.0221532
\(657\) 212767. 368524.i 0.0192305 0.0333083i
\(658\) 3.22094e6 + 5.57882e6i 0.290013 + 0.502317i
\(659\) −122541. 212248.i −0.0109918 0.0190384i 0.860477 0.509489i \(-0.170166\pi\)
−0.871469 + 0.490451i \(0.836832\pi\)
\(660\) −946382. 1.63918e6i −0.0845681 0.146476i
\(661\) 1.24794e7 1.11093 0.555467 0.831538i \(-0.312539\pi\)
0.555467 + 0.831538i \(0.312539\pi\)
\(662\) 1.55148e6 + 2.68724e6i 0.137594 + 0.238321i
\(663\) −1.36990e7 2.37273e7i −1.21033 2.09635i
\(664\) −1.91420e6 + 3.31549e6i −0.168487 + 0.291828i
\(665\) 1.75310e7 3.03646e7i 1.53728 2.66264i
\(666\) 562429. 0.0491340
\(667\) 9.09565e6 0.791625
\(668\) 1.32908e6 2.30203e6i 0.115242 0.199604i
\(669\) −7.74343e6 + 1.34120e7i −0.668910 + 1.15859i
\(670\) 390014. + 675524.i 0.0335655 + 0.0581371i
\(671\) 1.89971e6 + 3.29040e6i 0.162885 + 0.282125i
\(672\) −9.57538e6 −0.817962
\(673\) 1.52145e6 + 2.63523e6i 0.129485 + 0.224275i 0.923477 0.383653i \(-0.125334\pi\)
−0.793992 + 0.607928i \(0.792001\pi\)
\(674\) 3.41802e6 + 5.92019e6i 0.289818 + 0.501979i
\(675\) 6.57831e6 + 1.13940e7i 0.555719 + 0.962533i
\(676\) −2.17822e6 + 3.77279e6i −0.183331 + 0.317538i
\(677\) −9.51921e6 −0.798233 −0.399116 0.916900i \(-0.630683\pi\)
−0.399116 + 0.916900i \(0.630683\pi\)
\(678\) 997868. 1.72836e6i 0.0833679 0.144397i
\(679\) −9.82003e6 1.70088e7i −0.817407 1.41579i
\(680\) 2.30300e7 1.90995
\(681\) 323160. + 559729.i 0.0267024 + 0.0462499i
\(682\) 968222. 1.67701e6i 0.0797102 0.138062i
\(683\) 1.94066e6 3.36132e6i 0.159183 0.275714i −0.775391 0.631481i \(-0.782447\pi\)
0.934574 + 0.355768i \(0.115781\pi\)
\(684\) 1.26195e6 0.103134
\(685\) −1.74196e7 + 3.01717e7i −1.41845 + 2.45682i
\(686\) −1.12530e7 −0.912973
\(687\) 1.30857e6 0.105781
\(688\) −1.53926e7 587984.i −1.23977 0.0473581i
\(689\) −1.91277e7 −1.53502
\(690\) 3.10267e7 2.48092
\(691\) 6.28227e6 1.08812e7i 0.500520 0.866926i −0.499480 0.866325i \(-0.666476\pi\)
1.00000 0.000600381i \(-0.000191107\pi\)
\(692\) 2.47871e6 0.196771
\(693\) 316137. 547565.i 0.0250059 0.0433114i
\(694\) −5.89173e6 + 1.02048e7i −0.464348 + 0.804275i
\(695\) −8.46969e6 1.46699e7i −0.665129 1.15204i
\(696\) −4.21841e6 −0.330085
\(697\) 216019. + 374157.i 0.0168427 + 0.0291724i
\(698\) 1.02857e7 1.78153e7i 0.799089 1.38406i
\(699\) −1.03427e7 −0.800644
\(700\) −3.17568e6 + 5.50044e6i −0.244958 + 0.424280i
\(701\) 5.57285e6 + 9.65246e6i 0.428334 + 0.741896i 0.996725 0.0808625i \(-0.0257675\pi\)
−0.568392 + 0.822758i \(0.692434\pi\)
\(702\) −1.12882e7 1.95518e7i −0.864535 1.49742i
\(703\) −3.67498e6 6.36525e6i −0.280457 0.485766i
\(704\) 1.39546e6 0.106118
\(705\) 3.72366e6 + 6.44957e6i 0.282161 + 0.488717i
\(706\) −6.70031e6 1.16053e7i −0.505921 0.876281i
\(707\) −401815. + 695965.i −0.0302328 + 0.0523647i
\(708\) 1.61837e6 2.80310e6i 0.121337 0.210162i
\(709\) −1.12600e7 −0.841243 −0.420622 0.907236i \(-0.638188\pi\)
−0.420622 + 0.907236i \(0.638188\pi\)
\(710\) −3.70716e7 −2.75991
\(711\) −441701. + 765049.i −0.0327683 + 0.0567564i
\(712\) −4.04136e6 + 6.99984e6i −0.298764 + 0.517474i
\(713\) 4.56231e6 + 7.90215e6i 0.336094 + 0.582132i
\(714\) 1.63178e7 + 2.82632e7i 1.19789 + 2.07480i
\(715\) −8.52608e6 −0.623712
\(716\) −2.05920e6 3.56664e6i −0.150112 0.260002i
\(717\) 6.22320e6 + 1.07789e7i 0.452081 + 0.783027i
\(718\) 3.02645e6 + 5.24197e6i 0.219090 + 0.379475i
\(719\) −6.24554e6 + 1.08176e7i −0.450555 + 0.780384i −0.998421 0.0561824i \(-0.982107\pi\)
0.547866 + 0.836566i \(0.315441\pi\)
\(720\) 3.39903e6 0.244357
\(721\) −2.94496e6 + 5.10082e6i −0.210980 + 0.365428i
\(722\) −2.03886e7 3.53140e7i −1.45561 2.52118i
\(723\) 4.65641e6 0.331288
\(724\) 545716. + 945208.i 0.0386919 + 0.0670164i
\(725\) −3.74414e6 + 6.48504e6i −0.264549 + 0.458213i
\(726\) 7.03661e6 1.21878e7i 0.495475 0.858188i
\(727\) 1.74704e7 1.22594 0.612968 0.790108i \(-0.289975\pi\)
0.612968 + 0.790108i \(0.289975\pi\)
\(728\) −8.05854e6 + 1.39578e7i −0.563544 + 0.976087i
\(729\) 1.57420e7 1.09708
\(730\) 6.83523e6 0.474729
\(731\) 1.27169e7 + 2.41070e7i 0.880211 + 1.66859i
\(732\) −5.61480e6 −0.387308
\(733\) 2.31567e6 0.159190 0.0795952 0.996827i \(-0.474637\pi\)
0.0795952 + 0.996827i \(0.474637\pi\)
\(734\) −5.63629e6 + 9.76234e6i −0.386148 + 0.668827i
\(735\) 6.47560e6 0.442142
\(736\) 8.82563e6 1.52864e7i 0.600553 1.04019i
\(737\) 91910.5 159194.i 0.00623299 0.0107959i
\(738\) 21515.5 + 37266.0i 0.00145416 + 0.00251867i
\(739\) 3.84040e6 0.258682 0.129341 0.991600i \(-0.458714\pi\)
0.129341 + 0.991600i \(0.458714\pi\)
\(740\) 1.29846e6 + 2.24899e6i 0.0871662 + 0.150976i
\(741\) −1.78305e7 + 3.08833e7i −1.19294 + 2.06623i
\(742\) 2.27844e7 1.51924
\(743\) 6.41374e6 1.11089e7i 0.426225 0.738244i −0.570309 0.821431i \(-0.693176\pi\)
0.996534 + 0.0831865i \(0.0265097\pi\)
\(744\) −2.11592e6 3.66488e6i −0.140142 0.242732i
\(745\) −1.13406e7 1.96426e7i −0.748595 1.29660i
\(746\) 9.32726e6 + 1.61553e7i 0.613631 + 1.06284i
\(747\) 999781. 0.0655546
\(748\) 1.83502e6 + 3.17835e6i 0.119919 + 0.207706i
\(749\) 2.14523e6 + 3.71564e6i 0.139723 + 0.242008i
\(750\) −632415. + 1.09538e6i −0.0410534 + 0.0711066i
\(751\) −4.50277e6 + 7.79902e6i −0.291326 + 0.504592i −0.974124 0.226016i \(-0.927430\pi\)
0.682797 + 0.730608i \(0.260763\pi\)
\(752\) 8.16108e6 0.526263
\(753\) 2.05823e7 1.32284
\(754\) 6.42485e6 1.11282e7i 0.411562 0.712845i
\(755\) −710756. + 1.23106e6i −0.0453788 + 0.0785984i
\(756\) 3.86519e6 + 6.69470e6i 0.245961 + 0.426017i
\(757\) −7.22813e6 1.25195e7i −0.458444 0.794049i 0.540435 0.841386i \(-0.318260\pi\)
−0.998879 + 0.0473372i \(0.984926\pi\)
\(758\) 9.56865e6 0.604892
\(759\) −3.65587e6 6.33216e6i −0.230349 0.398976i
\(760\) −1.49879e7 2.59598e7i −0.941254 1.63030i
\(761\) 6.95980e6 + 1.20547e7i 0.435647 + 0.754563i 0.997348 0.0727771i \(-0.0231862\pi\)
−0.561701 + 0.827340i \(0.689853\pi\)
\(762\) −4.76687e6 + 8.25646e6i −0.297403 + 0.515117i
\(763\) −1.92175e7 −1.19505
\(764\) −1.33531e6 + 2.31282e6i −0.0827652 + 0.143354i
\(765\) −3.00713e6 5.20851e6i −0.185780 0.321780i
\(766\) 1.24303e7 0.765438
\(767\) −7.29005e6 1.26267e7i −0.447448 0.775002i
\(768\) −7.89220e6 + 1.36697e7i −0.482831 + 0.836287i
\(769\) 1.31773e7 2.28237e7i 0.803545 1.39178i −0.113724 0.993512i \(-0.536278\pi\)
0.917269 0.398268i \(-0.130389\pi\)
\(770\) 1.01560e7 0.617300
\(771\) −8.06225e6 + 1.39642e7i −0.488450 + 0.846020i
\(772\) −1.11145e7 −0.671193
\(773\) −2.13712e7 −1.28641