Properties

Label 36.5.f.a.7.20
Level 36
Weight 5
Character 36.7
Analytic conductor 3.721
Analytic rank 0
Dimension 44
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 36 = 2^{2} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 5 \)
Character orbit: \([\chi]\) \(=\) 36.f (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.72131867102\)
Analytic rank: \(0\)
Dimension: \(44\)
Relative dimension: \(22\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 7.20
Character \(\chi\) \(=\) 36.7
Dual form 36.5.f.a.31.20

$q$-expansion

\(f(q)\) \(=\) \(q+(3.68138 - 1.56444i) q^{2} +(4.25251 + 7.93197i) q^{3} +(11.1051 - 11.5186i) q^{4} +(1.01545 + 1.75881i) q^{5} +(28.0642 + 22.5478i) q^{6} +(20.0352 + 11.5673i) q^{7} +(22.8618 - 59.7774i) q^{8} +(-44.8324 + 67.4615i) q^{9} +O(q^{10})\) \(q+(3.68138 - 1.56444i) q^{2} +(4.25251 + 7.93197i) q^{3} +(11.1051 - 11.5186i) q^{4} +(1.01545 + 1.75881i) q^{5} +(28.0642 + 22.5478i) q^{6} +(20.0352 + 11.5673i) q^{7} +(22.8618 - 59.7774i) q^{8} +(-44.8324 + 67.4615i) q^{9} +(6.48981 + 4.88624i) q^{10} +(4.32958 + 2.49968i) q^{11} +(138.589 + 39.1022i) q^{12} +(-137.824 - 238.718i) q^{13} +(91.8536 + 11.2399i) q^{14} +(-9.63264 + 15.5339i) q^{15} +(-9.35520 - 255.829i) q^{16} -266.009 q^{17} +(-59.5053 + 318.489i) q^{18} +367.194i q^{19} +(31.5357 + 7.83518i) q^{20} +(-6.55189 + 208.109i) q^{21} +(19.8494 + 2.42891i) q^{22} +(-544.473 + 314.352i) q^{23} +(571.373 - 72.8647i) q^{24} +(310.438 - 537.694i) q^{25} +(-880.842 - 663.194i) q^{26} +(-725.753 - 68.7283i) q^{27} +(355.732 - 102.321i) q^{28} +(-319.481 + 553.357i) q^{29} +(-11.1595 + 72.2558i) q^{30} +(1191.19 - 687.735i) q^{31} +(-434.669 - 927.167i) q^{32} +(-1.41585 + 44.9720i) q^{33} +(-979.280 + 416.155i) q^{34} +46.9843i q^{35} +(279.195 + 1265.57i) q^{36} +1466.19 q^{37} +(574.453 + 1351.78i) q^{38} +(1307.41 - 2108.37i) q^{39} +(128.352 - 20.4914i) q^{40} +(593.019 + 1027.14i) q^{41} +(301.454 + 776.378i) q^{42} +(1430.33 + 825.804i) q^{43} +(76.8730 - 22.1114i) q^{44} +(-164.177 - 10.3478i) q^{45} +(-1512.63 + 2009.04i) q^{46} +(307.864 + 177.745i) q^{47} +(1989.45 - 1162.12i) q^{48} +(-932.893 - 1615.82i) q^{49} +(301.649 - 2465.11i) q^{50} +(-1131.21 - 2109.98i) q^{51} +(-4280.24 - 1063.44i) q^{52} +5297.49 q^{53} +(-2779.29 + 882.381i) q^{54} +10.1532i q^{55} +(1149.51 - 933.203i) q^{56} +(-2912.57 + 1561.50i) q^{57} +(-310.436 + 2536.92i) q^{58} +(-5223.32 + 3015.68i) q^{59} +(71.9573 + 283.459i) q^{60} +(-833.364 + 1443.43i) q^{61} +(3309.31 - 4395.36i) q^{62} +(-1678.58 + 833.016i) q^{63} +(-3050.68 - 2733.24i) q^{64} +(279.907 - 484.814i) q^{65} +(65.1436 + 167.774i) q^{66} +(-1908.36 + 1101.79i) q^{67} +(-2954.05 + 3064.05i) q^{68} +(-4808.81 - 2981.96i) q^{69} +(73.5040 + 172.967i) q^{70} -524.299i q^{71} +(3007.73 + 4222.25i) q^{72} -1492.29 q^{73} +(5397.59 - 2293.76i) q^{74} +(5585.11 + 175.836i) q^{75} +(4229.55 + 4077.71i) q^{76} +(57.8293 + 100.163i) q^{77} +(1514.65 - 9807.06i) q^{78} +(4448.35 + 2568.25i) q^{79} +(440.456 - 276.236i) q^{80} +(-2541.12 - 6048.92i) q^{81} +(3790.02 + 2853.54i) q^{82} +(6918.39 + 3994.33i) q^{83} +(2324.36 + 2386.53i) q^{84} +(-270.120 - 467.861i) q^{85} +(6557.52 + 802.424i) q^{86} +(-5747.81 - 180.958i) q^{87} +(248.406 - 201.664i) q^{88} -8860.17 q^{89} +(-620.587 + 218.751i) q^{90} -6377.03i q^{91} +(-2425.53 + 9762.46i) q^{92} +(10520.7 + 6523.91i) q^{93} +(1411.44 + 172.713i) q^{94} +(-645.826 + 372.868i) q^{95} +(5505.83 - 7390.57i) q^{96} +(-3409.33 + 5905.14i) q^{97} +(-5962.18 - 4488.98i) q^{98} +(-362.737 + 180.013i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 44q - q^{2} - q^{4} - 2q^{5} + 15q^{6} + 122q^{8} - 60q^{9} + O(q^{10}) \) \( 44q - q^{2} - q^{4} - 2q^{5} + 15q^{6} + 122q^{8} - 60q^{9} + 28q^{10} - 228q^{12} - 2q^{13} + 252q^{14} - q^{16} - 56q^{17} + 72q^{18} - 140q^{20} + 138q^{21} - 33q^{22} - 951q^{24} - 1752q^{25} + 1096q^{26} - 516q^{28} + 526q^{29} - 1980q^{30} - 121q^{32} + 2994q^{33} + 385q^{34} - 1005q^{36} - 8q^{37} + 1395q^{38} - 2276q^{40} - 2762q^{41} + 3330q^{42} + 6714q^{44} + 4110q^{45} + 3576q^{46} + 2163q^{48} + 3428q^{49} + 6375q^{50} + 1438q^{52} - 10088q^{53} - 4983q^{54} - 7506q^{56} + 1752q^{57} - 4064q^{58} - 16392q^{60} - 2q^{61} - 18324q^{62} + 9026q^{64} - 2014q^{65} - 17358q^{66} - 11405q^{68} + 3354q^{69} + 3666q^{70} + 4083q^{72} - 3416q^{73} + 14620q^{74} + 1581q^{76} - 3942q^{77} + 34566q^{78} + 45520q^{80} - 1164q^{81} - 8486q^{82} + 51078q^{84} - 1252q^{85} + 22113q^{86} + 1995q^{88} + 13048q^{89} - 4692q^{90} - 30294q^{92} + 12090q^{93} + 7524q^{94} - 76164q^{96} + 5638q^{97} - 92938q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/36\mathbb{Z}\right)^\times\).

\(n\) \(19\) \(29\)
\(\chi(n)\) \(-1\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 3.68138 1.56444i 0.920344 0.391110i
\(3\) 4.25251 + 7.93197i 0.472501 + 0.881330i
\(4\) 11.1051 11.5186i 0.694066 0.719911i
\(5\) 1.01545 + 1.75881i 0.0406181 + 0.0703525i 0.885620 0.464411i \(-0.153734\pi\)
−0.845002 + 0.534764i \(0.820401\pi\)
\(6\) 28.0642 + 22.5478i 0.779560 + 0.626327i
\(7\) 20.0352 + 11.5673i 0.408882 + 0.236068i 0.690309 0.723514i \(-0.257474\pi\)
−0.281427 + 0.959583i \(0.590808\pi\)
\(8\) 22.8618 59.7774i 0.357216 0.934022i
\(9\) −44.8324 + 67.4615i −0.553486 + 0.832859i
\(10\) 6.48981 + 4.88624i 0.0648981 + 0.0488624i
\(11\) 4.32958 + 2.49968i 0.0357816 + 0.0206585i 0.517784 0.855511i \(-0.326757\pi\)
−0.482002 + 0.876170i \(0.660090\pi\)
\(12\) 138.589 + 39.1022i 0.962426 + 0.271543i
\(13\) −137.824 238.718i −0.815527 1.41253i −0.908949 0.416908i \(-0.863114\pi\)
0.0934218 0.995627i \(-0.470219\pi\)
\(14\) 91.8536 + 11.2399i 0.468641 + 0.0573462i
\(15\) −9.63264 + 15.5339i −0.0428117 + 0.0690395i
\(16\) −9.35520 255.829i −0.0365438 0.999332i
\(17\) −266.009 −0.920447 −0.460224 0.887803i \(-0.652231\pi\)
−0.460224 + 0.887803i \(0.652231\pi\)
\(18\) −59.5053 + 318.489i −0.183658 + 0.982990i
\(19\) 367.194i 1.01716i 0.861015 + 0.508579i \(0.169829\pi\)
−0.861015 + 0.508579i \(0.830171\pi\)
\(20\) 31.5357 + 7.83518i 0.0788392 + 0.0195879i
\(21\) −6.55189 + 208.109i −0.0148569 + 0.471902i
\(22\) 19.8494 + 2.42891i 0.0410111 + 0.00501841i
\(23\) −544.473 + 314.352i −1.02925 + 0.594238i −0.916770 0.399416i \(-0.869213\pi\)
−0.112481 + 0.993654i \(0.535880\pi\)
\(24\) 571.373 72.8647i 0.991966 0.126501i
\(25\) 310.438 537.694i 0.496700 0.860310i
\(26\) −880.842 663.194i −1.30302 0.981057i
\(27\) −725.753 68.7283i −0.995546 0.0942775i
\(28\) 355.732 102.321i 0.453739 0.130512i
\(29\) −319.481 + 553.357i −0.379882 + 0.657975i −0.991045 0.133530i \(-0.957369\pi\)
0.611163 + 0.791505i \(0.290702\pi\)
\(30\) −11.1595 + 72.2558i −0.0123995 + 0.0802842i
\(31\) 1191.19 687.735i 1.23953 0.715645i 0.270535 0.962710i \(-0.412799\pi\)
0.968999 + 0.247065i \(0.0794660\pi\)
\(32\) −434.669 927.167i −0.424481 0.905437i
\(33\) −1.41585 + 44.9720i −0.00130014 + 0.0412966i
\(34\) −979.280 + 416.155i −0.847128 + 0.359996i
\(35\) 46.9843i 0.0383545i
\(36\) 279.195 + 1265.57i 0.215428 + 0.976520i
\(37\) 1466.19 1.07099 0.535496 0.844538i \(-0.320125\pi\)
0.535496 + 0.844538i \(0.320125\pi\)
\(38\) 574.453 + 1351.78i 0.397820 + 0.936135i
\(39\) 1307.41 2108.37i 0.859572 1.38617i
\(40\) 128.352 20.4914i 0.0802202 0.0128071i
\(41\) 593.019 + 1027.14i 0.352777 + 0.611028i 0.986735 0.162339i \(-0.0519040\pi\)
−0.633958 + 0.773368i \(0.718571\pi\)
\(42\) 301.454 + 776.378i 0.170892 + 0.440123i
\(43\) 1430.33 + 825.804i 0.773572 + 0.446622i 0.834147 0.551542i \(-0.185960\pi\)
−0.0605755 + 0.998164i \(0.519294\pi\)
\(44\) 76.8730 22.1114i 0.0397071 0.0114212i
\(45\) −164.177 10.3478i −0.0810752 0.00511004i
\(46\) −1512.63 + 2009.04i −0.714852 + 0.949453i
\(47\) 307.864 + 177.745i 0.139368 + 0.0804642i 0.568063 0.822985i \(-0.307693\pi\)
−0.428695 + 0.903449i \(0.641026\pi\)
\(48\) 1989.45 1162.12i 0.863475 0.504392i
\(49\) −932.893 1615.82i −0.388544 0.672977i
\(50\) 301.649 2465.11i 0.120660 0.986046i
\(51\) −1131.21 2109.98i −0.434912 0.811218i
\(52\) −4280.24 1063.44i −1.58293 0.393286i
\(53\) 5297.49 1.88590 0.942950 0.332934i \(-0.108039\pi\)
0.942950 + 0.332934i \(0.108039\pi\)
\(54\) −2779.29 + 882.381i −0.953118 + 0.302600i
\(55\) 10.1532i 0.00335644i
\(56\) 1149.51 933.203i 0.366552 0.297578i
\(57\) −2912.57 + 1561.50i −0.896452 + 0.480608i
\(58\) −310.436 + 2536.92i −0.0922818 + 0.754139i
\(59\) −5223.32 + 3015.68i −1.50052 + 0.866327i −0.500522 + 0.865724i \(0.666859\pi\)
−1.00000 0.000603027i \(0.999808\pi\)
\(60\) 71.9573 + 283.459i 0.0199881 + 0.0787387i
\(61\) −833.364 + 1443.43i −0.223962 + 0.387914i −0.956008 0.293342i \(-0.905233\pi\)
0.732045 + 0.681256i \(0.238566\pi\)
\(62\) 3309.31 4395.36i 0.860902 1.14343i
\(63\) −1678.58 + 833.016i −0.422922 + 0.209880i
\(64\) −3050.68 2733.24i −0.744794 0.667295i
\(65\) 279.907 484.814i 0.0662502 0.114749i
\(66\) 65.1436 + 167.774i 0.0149549 + 0.0385156i
\(67\) −1908.36 + 1101.79i −0.425119 + 0.245443i −0.697265 0.716813i \(-0.745600\pi\)
0.272146 + 0.962256i \(0.412267\pi\)
\(68\) −2954.05 + 3064.05i −0.638852 + 0.662640i
\(69\) −4808.81 2981.96i −1.01004 0.626332i
\(70\) 73.5040 + 172.967i 0.0150008 + 0.0352993i
\(71\) 524.299i 0.104007i −0.998647 0.0520035i \(-0.983439\pi\)
0.998647 0.0520035i \(-0.0165607\pi\)
\(72\) 3007.73 + 4222.25i 0.580194 + 0.814478i
\(73\) −1492.29 −0.280032 −0.140016 0.990149i \(-0.544715\pi\)
−0.140016 + 0.990149i \(0.544715\pi\)
\(74\) 5397.59 2293.76i 0.985680 0.418875i
\(75\) 5585.11 + 175.836i 0.992909 + 0.0312597i
\(76\) 4229.55 + 4077.71i 0.732263 + 0.705975i
\(77\) 57.8293 + 100.163i 0.00975364 + 0.0168938i
\(78\) 1514.65 9807.06i 0.248956 1.61194i
\(79\) 4448.35 + 2568.25i 0.712762 + 0.411513i 0.812083 0.583542i \(-0.198334\pi\)
−0.0993209 + 0.995055i \(0.531667\pi\)
\(80\) 440.456 276.236i 0.0688212 0.0431619i
\(81\) −2541.12 6048.92i −0.387307 0.921951i
\(82\) 3790.02 + 2853.54i 0.563656 + 0.424382i
\(83\) 6918.39 + 3994.33i 1.00427 + 0.579813i 0.909508 0.415687i \(-0.136459\pi\)
0.0947580 + 0.995500i \(0.469792\pi\)
\(84\) 2324.36 + 2386.53i 0.329416 + 0.338227i
\(85\) −270.120 467.861i −0.0373868 0.0647558i
\(86\) 6557.52 + 802.424i 0.886630 + 0.108494i
\(87\) −5747.81 180.958i −0.759388 0.0239078i
\(88\) 248.406 201.664i 0.0320773 0.0260413i
\(89\) −8860.17 −1.11857 −0.559283 0.828977i \(-0.688924\pi\)
−0.559283 + 0.828977i \(0.688924\pi\)
\(90\) −620.587 + 218.751i −0.0766157 + 0.0270063i
\(91\) 6377.03i 0.770080i
\(92\) −2425.53 + 9762.46i −0.286570 + 1.15341i
\(93\) 10520.7 + 6523.91i 1.21640 + 0.754296i
\(94\) 1411.44 + 172.713i 0.159737 + 0.0195465i
\(95\) −645.826 + 372.868i −0.0715596 + 0.0413150i
\(96\) 5505.83 7390.57i 0.597421 0.801928i
\(97\) −3409.33 + 5905.14i −0.362348 + 0.627606i −0.988347 0.152219i \(-0.951358\pi\)
0.625999 + 0.779824i \(0.284692\pi\)
\(98\) −5962.18 4488.98i −0.620802 0.467408i
\(99\) −362.737 + 180.013i −0.0370103 + 0.0183668i
\(100\) −2746.04 9546.92i −0.274604 0.954692i
\(101\) −1545.53 + 2676.93i −0.151507 + 0.262418i −0.931782 0.363019i \(-0.881746\pi\)
0.780274 + 0.625437i \(0.215079\pi\)
\(102\) −7465.33 5997.92i −0.717544 0.576501i
\(103\) −9409.35 + 5432.49i −0.886922 + 0.512065i −0.872934 0.487838i \(-0.837786\pi\)
−0.0139875 + 0.999902i \(0.504453\pi\)
\(104\) −17420.9 + 2781.23i −1.61066 + 0.257141i
\(105\) −372.678 + 199.801i −0.0338030 + 0.0181225i
\(106\) 19502.1 8287.61i 1.73568 0.737594i
\(107\) 14106.5i 1.23212i −0.787699 0.616060i \(-0.788728\pi\)
0.787699 0.616060i \(-0.211272\pi\)
\(108\) −8851.18 + 7596.41i −0.758846 + 0.651270i
\(109\) 16328.3 1.37432 0.687160 0.726506i \(-0.258857\pi\)
0.687160 + 0.726506i \(0.258857\pi\)
\(110\) 15.8841 + 37.3778i 0.00131273 + 0.00308908i
\(111\) 6234.97 + 11629.8i 0.506044 + 0.943897i
\(112\) 2771.83 5233.81i 0.220968 0.417236i
\(113\) −5911.44 10238.9i −0.462952 0.801857i 0.536154 0.844120i \(-0.319877\pi\)
−0.999107 + 0.0422631i \(0.986543\pi\)
\(114\) −8279.41 + 10305.0i −0.637074 + 0.792936i
\(115\) −1105.77 638.418i −0.0836123 0.0482736i
\(116\) 2826.03 + 9825.03i 0.210020 + 0.730160i
\(117\) 22283.3 + 1404.48i 1.62782 + 0.102599i
\(118\) −14511.1 + 19273.4i −1.04217 + 1.38419i
\(119\) −5329.56 3077.02i −0.376354 0.217288i
\(120\) 708.356 + 930.947i 0.0491914 + 0.0646491i
\(121\) −7308.00 12657.8i −0.499146 0.864547i
\(122\) −809.770 + 6617.55i −0.0544054 + 0.444608i
\(123\) −5625.42 + 9071.72i −0.371830 + 0.599625i
\(124\) 5306.53 21358.2i 0.345118 1.38906i
\(125\) 2530.25 0.161936
\(126\) −4876.27 + 5692.67i −0.307147 + 0.358571i
\(127\) 20979.9i 1.30076i −0.759609 0.650379i \(-0.774610\pi\)
0.759609 0.650379i \(-0.225390\pi\)
\(128\) −15506.7 5289.48i −0.946452 0.322844i
\(129\) −467.746 + 14857.1i −0.0281081 + 0.892802i
\(130\) 271.983 2222.68i 0.0160936 0.131519i
\(131\) 24723.9 14274.3i 1.44070 0.831789i 0.442804 0.896618i \(-0.353984\pi\)
0.997896 + 0.0648298i \(0.0206504\pi\)
\(132\) 502.290 + 515.725i 0.0288275 + 0.0295986i
\(133\) −4247.46 + 7356.81i −0.240119 + 0.415898i
\(134\) −5301.70 + 7041.62i −0.295261 + 0.392160i
\(135\) −616.087 1346.25i −0.0338045 0.0738685i
\(136\) −6081.45 + 15901.3i −0.328798 + 0.859718i
\(137\) 309.436 535.959i 0.0164866 0.0285556i −0.857664 0.514210i \(-0.828085\pi\)
0.874151 + 0.485654i \(0.161419\pi\)
\(138\) −22368.1 3454.65i −1.17455 0.181403i
\(139\) −16819.9 + 9710.99i −0.870552 + 0.502613i −0.867532 0.497382i \(-0.834295\pi\)
−0.00302027 + 0.999995i \(0.500961\pi\)
\(140\) 541.192 + 521.763i 0.0276118 + 0.0266206i
\(141\) −100.677 + 3197.83i −0.00506400 + 0.160849i
\(142\) −820.234 1930.14i −0.0406781 0.0957222i
\(143\) 1378.07i 0.0673903i
\(144\) 17678.0 + 10838.3i 0.852529 + 0.522680i
\(145\) −1297.67 −0.0617203
\(146\) −5493.69 + 2334.60i −0.257726 + 0.109523i
\(147\) 8849.49 14271.0i 0.409528 0.660418i
\(148\) 16282.1 16888.4i 0.743339 0.771018i
\(149\) −309.641 536.313i −0.0139471 0.0241572i 0.858968 0.512030i \(-0.171106\pi\)
−0.872915 + 0.487873i \(0.837773\pi\)
\(150\) 20836.0 8090.25i 0.926044 0.359567i
\(151\) −3758.08 2169.73i −0.164821 0.0951593i 0.415321 0.909675i \(-0.363669\pi\)
−0.580141 + 0.814516i \(0.697003\pi\)
\(152\) 21949.9 + 8394.72i 0.950048 + 0.363345i
\(153\) 11925.8 17945.4i 0.509455 0.766603i
\(154\) 369.591 + 278.268i 0.0155840 + 0.0117334i
\(155\) 2419.20 + 1396.72i 0.100695 + 0.0581362i
\(156\) −9766.54 38473.0i −0.401321 1.58091i
\(157\) 3103.88 + 5376.08i 0.125923 + 0.218105i 0.922093 0.386967i \(-0.126477\pi\)
−0.796170 + 0.605073i \(0.793144\pi\)
\(158\) 20393.9 + 2495.54i 0.816933 + 0.0999657i
\(159\) 22527.6 + 42019.6i 0.891090 + 1.66210i
\(160\) 1189.33 1705.99i 0.0464582 0.0666404i
\(161\) −14544.9 −0.561123
\(162\) −18818.0 18292.9i −0.717039 0.697033i
\(163\) 15857.0i 0.596824i 0.954437 + 0.298412i \(0.0964569\pi\)
−0.954437 + 0.298412i \(0.903543\pi\)
\(164\) 18416.7 + 4575.71i 0.684737 + 0.170126i
\(165\) −80.5351 + 43.1766i −0.00295813 + 0.00158592i
\(166\) 31718.1 + 3881.25i 1.15104 + 0.140849i
\(167\) −362.861 + 209.498i −0.0130109 + 0.00751186i −0.506491 0.862245i \(-0.669058\pi\)
0.493480 + 0.869757i \(0.335724\pi\)
\(168\) 12290.4 + 5149.40i 0.435460 + 0.182448i
\(169\) −23710.4 + 41067.7i −0.830169 + 1.43789i
\(170\) −1726.35 1299.79i −0.0597353 0.0449753i
\(171\) −24771.5 16462.2i −0.847149 0.562983i
\(172\) 25396.0 7304.81i 0.858438 0.246918i
\(173\) 9600.40 16628.4i 0.320772 0.555594i −0.659875 0.751375i \(-0.729391\pi\)
0.980648 + 0.195781i \(0.0627242\pi\)
\(174\) −21442.9 + 8325.92i −0.708249 + 0.275001i
\(175\) 12439.4 7181.88i 0.406184 0.234510i
\(176\) 598.987 1131.02i 0.0193371 0.0365127i
\(177\) −46132.5 28607.0i −1.47252 0.913115i
\(178\) −32617.6 + 13861.2i −1.02947 + 0.437482i
\(179\) 49821.7i 1.55494i 0.628922 + 0.777468i \(0.283496\pi\)
−0.628922 + 0.777468i \(0.716504\pi\)
\(180\) −1942.39 + 1776.18i −0.0599504 + 0.0548202i
\(181\) 13970.7 0.426443 0.213222 0.977004i \(-0.431604\pi\)
0.213222 + 0.977004i \(0.431604\pi\)
\(182\) −9976.48 23476.3i −0.301186 0.708738i
\(183\) −14993.1 472.028i −0.447703 0.0140950i
\(184\) 6343.50 + 39733.9i 0.187367 + 1.17361i
\(185\) 1488.84 + 2578.75i 0.0435016 + 0.0753469i
\(186\) 48936.7 + 7558.03i 1.41452 + 0.218466i
\(187\) −1151.71 664.939i −0.0329351 0.0190151i
\(188\) 5466.22 1572.28i 0.154658 0.0444851i
\(189\) −13745.6 9772.02i −0.384805 0.273565i
\(190\) −1794.20 + 2383.02i −0.0497008 + 0.0660117i
\(191\) −26994.8 15585.5i −0.739969 0.427221i 0.0820893 0.996625i \(-0.473841\pi\)
−0.822058 + 0.569404i \(0.807174\pi\)
\(192\) 8706.95 35821.0i 0.236191 0.971707i
\(193\) −13498.2 23379.5i −0.362377 0.627655i 0.625975 0.779843i \(-0.284701\pi\)
−0.988351 + 0.152189i \(0.951368\pi\)
\(194\) −3312.81 + 27072.7i −0.0880224 + 0.719331i
\(195\) 5035.84 + 158.543i 0.132435 + 0.00416944i
\(196\) −28971.8 7198.16i −0.754159 0.187374i
\(197\) 10416.4 0.268402 0.134201 0.990954i \(-0.457153\pi\)
0.134201 + 0.990954i \(0.457153\pi\)
\(198\) −1053.75 + 1230.18i −0.0268787 + 0.0313789i
\(199\) 8438.68i 0.213093i −0.994308 0.106546i \(-0.966021\pi\)
0.994308 0.106546i \(-0.0339793\pi\)
\(200\) −25044.8 30849.8i −0.626119 0.771245i
\(201\) −16854.7 10451.7i −0.417185 0.258699i
\(202\) −1501.77 + 12272.7i −0.0368045 + 0.300771i
\(203\) −12801.7 + 7391.09i −0.310654 + 0.179356i
\(204\) −36866.1 10401.6i −0.885863 0.249941i
\(205\) −1204.36 + 2086.02i −0.0286583 + 0.0496376i
\(206\) −26140.6 + 34719.4i −0.616000 + 0.818159i
\(207\) 3203.37 50824.2i 0.0747594 1.18612i
\(208\) −59781.7 + 37492.7i −1.38179 + 0.866602i
\(209\) −917.868 + 1589.79i −0.0210130 + 0.0363956i
\(210\) −1059.39 + 1318.57i −0.0240225 + 0.0298997i
\(211\) −19871.6 + 11472.8i −0.446341 + 0.257695i −0.706284 0.707929i \(-0.749630\pi\)
0.259943 + 0.965624i \(0.416296\pi\)
\(212\) 58829.0 61019.6i 1.30894 1.35768i
\(213\) 4158.73 2229.59i 0.0916645 0.0491434i
\(214\) −22068.8 51931.5i −0.481894 1.13397i
\(215\) 3354.25i 0.0725637i
\(216\) −20700.4 + 41812.4i −0.443682 + 0.896184i
\(217\) 31821.1 0.675764
\(218\) 60110.6 25544.6i 1.26485 0.537510i
\(219\) −6345.99 11836.8i −0.132316 0.246801i
\(220\) 116.951 + 112.752i 0.00241634 + 0.00232959i
\(221\) 36662.5 + 63501.3i 0.750650 + 1.30016i
\(222\) 41147.3 + 33059.3i 0.834902 + 0.670791i
\(223\) 55651.0 + 32130.1i 1.11909 + 0.646105i 0.941167 0.337941i \(-0.109730\pi\)
0.177919 + 0.984045i \(0.443064\pi\)
\(224\) 2016.17 23604.0i 0.0401820 0.470423i
\(225\) 22356.0 + 45048.7i 0.441600 + 0.889851i
\(226\) −37780.4 28445.2i −0.739690 0.556919i
\(227\) 5807.02 + 3352.69i 0.112694 + 0.0650641i 0.555288 0.831658i \(-0.312608\pi\)
−0.442593 + 0.896722i \(0.645941\pi\)
\(228\) −14358.1 + 50889.2i −0.276202 + 0.978940i
\(229\) −17775.1 30787.4i −0.338955 0.587087i 0.645281 0.763945i \(-0.276740\pi\)
−0.984236 + 0.176858i \(0.943407\pi\)
\(230\) −5069.53 620.344i −0.0958323 0.0117267i
\(231\) −548.573 + 884.646i −0.0102804 + 0.0165785i
\(232\) 25774.4 + 31748.5i 0.478864 + 0.589857i
\(233\) 62439.9 1.15014 0.575070 0.818105i \(-0.304975\pi\)
0.575070 + 0.818105i \(0.304975\pi\)
\(234\) 84230.4 29690.4i 1.53829 0.542231i
\(235\) 721.967i 0.0130732i
\(236\) −23268.9 + 93654.5i −0.417784 + 1.68153i
\(237\) −1454.69 + 46205.7i −0.0258985 + 0.822619i
\(238\) −24433.9 2989.91i −0.431359 0.0527841i
\(239\) −3250.59 + 1876.73i −0.0569070 + 0.0328553i −0.528184 0.849130i \(-0.677127\pi\)
0.471277 + 0.881985i \(0.343793\pi\)
\(240\) 4064.14 + 2318.99i 0.0705579 + 0.0402602i
\(241\) 44832.6 77652.3i 0.771898 1.33697i −0.164624 0.986356i \(-0.552641\pi\)
0.936522 0.350610i \(-0.114026\pi\)
\(242\) −46705.9 35165.3i −0.797519 0.600460i
\(243\) 37173.7 45879.2i 0.629541 0.776968i
\(244\) 7371.68 + 25628.5i 0.123819 + 0.430471i
\(245\) 1894.62 3281.57i 0.0315638 0.0546701i
\(246\) −6517.12 + 42197.1i −0.107693 + 0.697288i
\(247\) 87655.9 50608.2i 1.43677 0.829520i
\(248\) −13878.2 86929.3i −0.225647 1.41339i
\(249\) −2262.44 + 71862.4i −0.0364904 + 1.15905i
\(250\) 9314.81 3958.42i 0.149037 0.0633348i
\(251\) 9246.49i 0.146767i 0.997304 + 0.0733836i \(0.0233798\pi\)
−0.997304 + 0.0733836i \(0.976620\pi\)
\(252\) −9045.54 + 28585.5i −0.142441 + 0.450137i
\(253\) −3143.12 −0.0491043
\(254\) −32821.8 77235.1i −0.508739 1.19715i
\(255\) 2562.37 4132.16i 0.0394060 0.0635473i
\(256\) −65361.0 + 4786.66i −0.997329 + 0.0730387i
\(257\) −7624.85 13206.6i −0.115442 0.199952i 0.802514 0.596633i \(-0.203495\pi\)
−0.917956 + 0.396681i \(0.870162\pi\)
\(258\) 21521.1 + 55426.4i 0.323314 + 0.832678i
\(259\) 29375.4 + 16959.9i 0.437909 + 0.252827i
\(260\) −2475.97 8608.02i −0.0366268 0.127338i
\(261\) −23007.2 46361.0i −0.337741 0.680568i
\(262\) 68686.5 91228.1i 1.00062 1.32900i
\(263\) −89478.0 51660.2i −1.29361 0.746869i −0.314322 0.949317i \(-0.601777\pi\)
−0.979293 + 0.202448i \(0.935110\pi\)
\(264\) 2655.94 + 1112.78i 0.0381075 + 0.0159661i
\(265\) 5379.35 + 9317.30i 0.0766016 + 0.132678i
\(266\) −4127.21 + 33728.1i −0.0583301 + 0.476682i
\(267\) −37677.9 70278.6i −0.528524 0.985826i
\(268\) −8501.38 + 34217.1i −0.118364 + 0.476402i
\(269\) −86017.8 −1.18873 −0.594366 0.804195i \(-0.702597\pi\)
−0.594366 + 0.804195i \(0.702597\pi\)
\(270\) −4374.18 3992.24i −0.0600025 0.0547632i
\(271\) 15629.0i 0.212810i −0.994323 0.106405i \(-0.966066\pi\)
0.994323 0.106405i \(-0.0339340\pi\)
\(272\) 2488.57 + 68052.9i 0.0336366 + 0.919833i
\(273\) 50582.4 27118.4i 0.678695 0.363863i
\(274\) 300.676 2457.16i 0.00400495 0.0327290i
\(275\) 2688.13 1551.99i 0.0355455 0.0205222i
\(276\) −87750.1 + 22275.7i −1.15194 + 0.292424i
\(277\) 28307.3 49029.7i 0.368926 0.638998i −0.620472 0.784228i \(-0.713059\pi\)
0.989398 + 0.145231i \(0.0463924\pi\)
\(278\) −46728.2 + 62063.6i −0.604630 + 0.803059i
\(279\) −7008.29 + 111192.i −0.0900334 + 1.42846i
\(280\) 2808.60 + 1074.15i 0.0358240 + 0.0137008i
\(281\) −55533.5 + 96186.8i −0.703303 + 1.21816i 0.263998 + 0.964523i \(0.414959\pi\)
−0.967301 + 0.253633i \(0.918374\pi\)
\(282\) 4632.18 + 11929.9i 0.0582489 + 0.150017i
\(283\) −78979.6 + 45598.9i −0.986148 + 0.569353i −0.904121 0.427278i \(-0.859473\pi\)
−0.0820271 + 0.996630i \(0.526139\pi\)
\(284\) −6039.18 5822.37i −0.0748758 0.0721877i
\(285\) −5703.95 3537.05i −0.0702241 0.0435463i
\(286\) −2155.90 5073.18i −0.0263570 0.0620223i
\(287\) 27438.6i 0.333118i
\(288\) 82035.4 + 12243.7i 0.989045 + 0.147614i
\(289\) −12760.0 −0.152776
\(290\) −4777.21 + 2030.12i −0.0568039 + 0.0241394i
\(291\) −61337.6 1931.09i −0.724338 0.0228043i
\(292\) −16572.0 + 17189.1i −0.194361 + 0.201598i
\(293\) −41507.5 71893.1i −0.483494 0.837436i 0.516326 0.856392i \(-0.327299\pi\)
−0.999820 + 0.0189556i \(0.993966\pi\)
\(294\) 10252.3 66381.3i 0.118611 0.767982i
\(295\) −10608.0 6124.56i −0.121897 0.0703770i
\(296\) 33519.7 87644.8i 0.382575 1.00033i
\(297\) −2970.40 2111.72i −0.0336746 0.0239399i
\(298\) −1978.93 1489.96i −0.0222843 0.0167780i
\(299\) 150083. + 86650.5i 1.67876 + 0.969234i
\(300\) 64048.4 62379.9i 0.711649 0.693110i
\(301\) 19104.7 + 33090.3i 0.210866 + 0.365231i
\(302\) −17229.3 2108.30i −0.188910 0.0231163i
\(303\) −27805.7 875.407i −0.302865 0.00953508i
\(304\) 93938.9 3435.17i 1.01648 0.0371708i
\(305\) −3384.96 −0.0363876
\(306\) 15829.0 84721.0i 0.169048 0.904791i
\(307\) 65201.8i 0.691803i 0.938271 + 0.345902i \(0.112427\pi\)
−0.938271 + 0.345902i \(0.887573\pi\)
\(308\) 1795.94 + 446.209i 0.0189317 + 0.00470367i
\(309\) −83103.7 51533.0i −0.870369 0.539720i
\(310\) 11091.1 + 1357.18i 0.115412 + 0.0141226i
\(311\) −115786. + 66849.3i −1.19712 + 0.691156i −0.959911 0.280303i \(-0.909565\pi\)
−0.237206 + 0.971459i \(0.576232\pi\)
\(312\) −96143.0 126355.i −0.987663 1.29802i
\(313\) −5620.04 + 9734.19i −0.0573655 + 0.0993599i −0.893282 0.449497i \(-0.851603\pi\)
0.835917 + 0.548857i \(0.184937\pi\)
\(314\) 19837.1 + 14935.5i 0.201196 + 0.151482i
\(315\) −3169.63 2106.42i −0.0319439 0.0212287i
\(316\) 78981.8 22718.0i 0.790957 0.227508i
\(317\) 19603.1 33953.5i 0.195077 0.337883i −0.751849 0.659336i \(-0.770838\pi\)
0.946926 + 0.321452i \(0.104171\pi\)
\(318\) 148670. + 119447.i 1.47017 + 1.18119i
\(319\) −2766.43 + 1597.20i −0.0271856 + 0.0156956i
\(320\) 1709.44 8141.04i 0.0166938 0.0795023i
\(321\) 111893. 59988.2i 1.08590 0.582178i
\(322\) −53545.1 + 22754.5i −0.516426 + 0.219461i
\(323\) 97677.0i 0.936240i
\(324\) −97894.2 37903.6i −0.932539 0.361069i
\(325\) −171143. −1.62029
\(326\) 24807.3 + 58375.6i 0.233424 + 0.549283i
\(327\) 69436.2 + 129516.i 0.649367 + 1.21123i
\(328\) 74957.2 11966.9i 0.696732 0.111233i
\(329\) 4112.08 + 7122.34i 0.0379901 + 0.0658007i
\(330\) −228.933 + 284.942i −0.00210223 + 0.00261654i
\(331\) −64736.6 37375.7i −0.590873 0.341141i 0.174570 0.984645i \(-0.444147\pi\)
−0.765443 + 0.643504i \(0.777480\pi\)
\(332\) 122838. 35332.7i 1.11444 0.320553i
\(333\) −65732.6 + 98911.2i −0.592779 + 0.891984i
\(334\) −1008.08 + 1338.92i −0.00903656 + 0.0120022i
\(335\) −3875.69 2237.63i −0.0345350 0.0199388i
\(336\) 53301.6 270.738i 0.472130 0.00239812i
\(337\) 70909.1 + 122818.i 0.624370 + 1.08144i 0.988662 + 0.150156i \(0.0479775\pi\)
−0.364293 + 0.931285i \(0.618689\pi\)
\(338\) −23039.2 + 188279.i −0.201666 + 1.64804i
\(339\) 56076.3 90430.4i 0.487955 0.786892i
\(340\) −8388.78 2084.23i −0.0725673 0.0180297i
\(341\) 6876.48 0.0591367
\(342\) −116947. 21850.0i −0.999856 0.186810i
\(343\) 98710.7i 0.839027i
\(344\) 82064.4 66622.3i 0.693487 0.562993i
\(345\) 361.608 11485.8i 0.00303809 0.0964994i
\(346\) 9328.60 76234.5i 0.0779227 0.636795i
\(347\) 158508. 91514.6i 1.31641 0.760032i 0.333264 0.942834i \(-0.391850\pi\)
0.983150 + 0.182802i \(0.0585168\pi\)
\(348\) −65914.2 + 64197.0i −0.544277 + 0.530098i
\(349\) −67279.0 + 116531.i −0.552368 + 0.956729i 0.445735 + 0.895165i \(0.352942\pi\)
−0.998103 + 0.0615644i \(0.980391\pi\)
\(350\) 34558.4 45899.8i 0.282110 0.374693i
\(351\) 83619.5 + 182723.i 0.678724 + 1.48313i
\(352\) 435.691 5100.77i 0.00351636 0.0411671i
\(353\) 100139. 173446.i 0.803626 1.39192i −0.113589 0.993528i \(-0.536235\pi\)
0.917215 0.398393i \(-0.130432\pi\)
\(354\) −214585. 33141.6i −1.71235 0.264464i
\(355\) 922.144 532.400i 0.00731715 0.00422456i
\(356\) −98392.7 + 102056.i −0.776359 + 0.805268i
\(357\) 1742.86 55358.9i 0.0136750 0.434361i
\(358\) 77943.1 + 183413.i 0.608151 + 1.43108i
\(359\) 161179.i 1.25060i −0.780385 0.625300i \(-0.784977\pi\)
0.780385 0.625300i \(-0.215023\pi\)
\(360\) −4371.96 + 9577.52i −0.0337342 + 0.0739006i
\(361\) −4510.46 −0.0346104
\(362\) 51431.4 21856.3i 0.392474 0.166786i
\(363\) 69324.2 111794.i 0.526104 0.848412i
\(364\) −73454.3 70817.3i −0.554389 0.534487i
\(365\) −1515.35 2624.66i −0.0113744 0.0197010i
\(366\) −55933.8 + 21718.1i −0.417553 + 0.162129i
\(367\) −172828. 99782.5i −1.28317 0.740836i −0.305740 0.952115i \(-0.598904\pi\)
−0.977426 + 0.211279i \(0.932237\pi\)
\(368\) 85514.0 + 136351.i 0.631454 + 1.00685i
\(369\) −95878.8 6043.09i −0.704158 0.0443820i
\(370\) 9515.28 + 7164.14i 0.0695053 + 0.0523312i
\(371\) 106136. + 61277.9i 0.771111 + 0.445201i
\(372\) 191979. 48734.6i 1.38729 0.352169i
\(373\) 2894.35 + 5013.15i 0.0208033 + 0.0360324i 0.876240 0.481876i \(-0.160044\pi\)
−0.855436 + 0.517908i \(0.826711\pi\)
\(374\) −5280.12 646.113i −0.0377486 0.00461919i
\(375\) 10759.9 + 20069.9i 0.0765149 + 0.142719i
\(376\) 17663.5 14339.7i 0.124940 0.101430i
\(377\) 176129. 1.23922
\(378\) −65890.5 14470.3i −0.461147 0.101273i
\(379\) 217930.i 1.51719i 0.651565 + 0.758593i \(0.274113\pi\)
−0.651565 + 0.758593i \(0.725887\pi\)
\(380\) −2877.03 + 11579.7i −0.0199240 + 0.0801919i
\(381\) 166412. 89217.4i 1.14640 0.614610i
\(382\) −123760. 15144.2i −0.848116 0.103781i
\(383\) −60187.2 + 34749.1i −0.410305 + 0.236890i −0.690921 0.722930i \(-0.742795\pi\)
0.280616 + 0.959820i \(0.409461\pi\)
\(384\) −23986.2 145492.i −0.162667 0.986681i
\(385\) −117.446 + 203.422i −0.000792348 + 0.00137239i
\(386\) −86267.6 64951.7i −0.578993 0.435929i
\(387\) −119835. + 59469.8i −0.800134 + 0.397077i
\(388\) 30157.9 + 104848.i 0.200326 + 0.696458i
\(389\) −28733.0 + 49767.0i −0.189881 + 0.328884i −0.945210 0.326462i \(-0.894144\pi\)
0.755329 + 0.655345i \(0.227477\pi\)
\(390\) 18786.8 7294.60i 0.123516 0.0479592i
\(391\) 144835. 83620.5i 0.947371 0.546965i
\(392\) −117917. + 18825.4i −0.767369 + 0.122510i
\(393\) 218362. + 135407.i 1.41381 + 0.876712i
\(394\) 38346.8 16295.9i 0.247023 0.104975i
\(395\) 10431.7i 0.0668595i
\(396\) −1954.73 + 6177.28i −0.0124651 + 0.0393919i
\(397\) 13255.8 0.0841056 0.0420528 0.999115i \(-0.486610\pi\)
0.0420528 + 0.999115i \(0.486610\pi\)
\(398\) −13201.8 31066.0i −0.0833426 0.196119i
\(399\) −76416.4 2405.82i −0.479999 0.0151118i
\(400\) −140462. 74388.7i −0.877887 0.464930i
\(401\) 2687.66 + 4655.16i 0.0167142 + 0.0289498i 0.874262 0.485455i \(-0.161346\pi\)
−0.857547 + 0.514405i \(0.828013\pi\)
\(402\) −78399.5 12108.4i −0.485133 0.0749265i
\(403\) −328350. 189573.i −2.02175 1.16726i
\(404\) 13671.3 + 47529.7i 0.0837618 + 0.291208i
\(405\) 8058.54 10611.7i 0.0491299 0.0646959i
\(406\) −35565.1 + 47236.9i −0.215761 + 0.286569i
\(407\) 6347.97 + 3665.00i 0.0383218 + 0.0221251i
\(408\) −151990. + 19382.7i −0.913053 + 0.116438i
\(409\) 120347. + 208446.i 0.719427 + 1.24608i 0.961227 + 0.275758i \(0.0889289\pi\)
−0.241800 + 0.970326i \(0.577738\pi\)
\(410\) −1170.27 + 9563.57i −0.00696173 + 0.0568922i
\(411\) 5567.10 + 175.269i 0.0329568 + 0.00103758i
\(412\) −41916.9 + 168711.i −0.246942 + 0.993912i
\(413\) −139534. −0.818049
\(414\) −67718.5 192114.i −0.395100 1.12088i
\(415\) 16224.2i 0.0942035i
\(416\) −161424. + 231549.i −0.932784 + 1.33800i
\(417\) −148554. 92119.2i −0.854305 0.529758i
\(418\) −891.882 + 7288.58i −0.00510452 + 0.0417148i
\(419\) 30669.6 17707.1i 0.174695 0.100860i −0.410103 0.912039i \(-0.634507\pi\)
0.584798 + 0.811179i \(0.301174\pi\)
\(420\) −1837.19 + 6511.52i −0.0104149 + 0.0369134i
\(421\) 82548.0 142977.i 0.465739 0.806683i −0.533496 0.845803i \(-0.679122\pi\)
0.999235 + 0.0391198i \(0.0124554\pi\)
\(422\) −55206.1 + 73323.7i −0.310000 + 0.411737i
\(423\) −25793.3 + 12800.2i −0.144154 + 0.0715381i
\(424\) 121110. 316670.i 0.673673 1.76147i
\(425\) −82579.3 + 143032.i −0.457187 + 0.791870i
\(426\) 11821.8 14714.0i 0.0651424 0.0810797i
\(427\) −33393.2 + 19279.6i −0.183148 + 0.105741i
\(428\) −162487. 156654.i −0.887017 0.855173i
\(429\) 10930.8 5860.23i 0.0593931 0.0318420i
\(430\) 5247.53 + 12348.3i 0.0283803 + 0.0667835i
\(431\) 161673.i 0.870327i −0.900351 0.435163i \(-0.856691\pi\)
0.900351 0.435163i \(-0.143309\pi\)
\(432\) −10793.1 + 186312.i −0.0578336 + 0.998326i
\(433\) −61835.3 −0.329808 −0.164904 0.986310i \(-0.552731\pi\)
−0.164904 + 0.986310i \(0.552731\pi\)
\(434\) 117145. 49782.1i 0.621936 0.264298i
\(435\) −5518.35 10293.1i −0.0291629 0.0543960i
\(436\) 181327. 188079.i 0.953869 0.989388i
\(437\) −115428. 199927.i −0.604434 1.04691i
\(438\) −41880.0 33647.9i −0.218302 0.175392i
\(439\) 268021. + 154742.i 1.39072 + 0.802933i 0.993395 0.114744i \(-0.0366049\pi\)
0.397326 + 0.917677i \(0.369938\pi\)
\(440\) 606.933 + 232.121i 0.00313499 + 0.00119897i
\(441\) 150829. + 9506.54i 0.775548 + 0.0488816i
\(442\) 234312. + 176416.i 1.19936 + 0.903011i
\(443\) −40615.5 23449.4i −0.206959 0.119488i 0.392938 0.919565i \(-0.371459\pi\)
−0.599897 + 0.800077i \(0.704792\pi\)
\(444\) 203198. + 57331.1i 1.03075 + 0.290820i
\(445\) −8997.07 15583.4i −0.0454340 0.0786940i
\(446\) 255138. + 31220.5i 1.28264 + 0.156953i
\(447\) 2937.27 4736.74i 0.0147004 0.0237063i
\(448\) −29504.7 90049.2i −0.147006 0.448667i
\(449\) −124857. −0.619328 −0.309664 0.950846i \(-0.600217\pi\)
−0.309664 + 0.950846i \(0.600217\pi\)
\(450\) 152777. + 130867.i 0.754453 + 0.646255i
\(451\) 5929.43i 0.0291514i
\(452\) −183585. 45612.4i −0.898585 0.223257i
\(453\) 1228.96 39035.8i 0.00598883 0.190224i
\(454\) 26622.9 + 3257.77i 0.129165 + 0.0158055i
\(455\) 11216.0 6475.56i 0.0541771 0.0312791i
\(456\) 26755.5 + 209805.i 0.128672 + 1.00899i
\(457\) 62748.5 108684.i 0.300449 0.520393i −0.675789 0.737095i \(-0.736197\pi\)
0.976238 + 0.216703i \(0.0695302\pi\)
\(458\) −113602. 85532.1i −0.541571 0.407754i
\(459\) 193057. + 18282.4i 0.916348 + 0.0867775i
\(460\) −19633.3 + 5647.25i −0.0927852 + 0.0266883i
\(461\) −51647.4 + 89455.9i −0.243022 + 0.420927i −0.961574 0.274547i \(-0.911472\pi\)
0.718551 + 0.695474i \(0.244806\pi\)
\(462\) −635.530 + 4114.92i −0.00297750 + 0.0192787i
\(463\) 277564. 160252.i 1.29480 0.747552i 0.315297 0.948993i \(-0.397896\pi\)
0.979501 + 0.201442i \(0.0645626\pi\)
\(464\) 144554. + 76555.7i 0.671418 + 0.355584i
\(465\) −791.122 + 25128.6i −0.00365879 + 0.116215i
\(466\) 229865. 97683.4i 1.05852 0.449831i
\(467\) 427381.i 1.95967i 0.199820 + 0.979833i \(0.435964\pi\)
−0.199820 + 0.979833i \(0.564036\pi\)
\(468\) 263635. 241075.i 1.20368 1.10068i
\(469\) −50979.2 −0.231765
\(470\) 1129.47 + 2657.83i 0.00511305 + 0.0120318i
\(471\) −29443.6 + 47481.7i −0.132724 + 0.214035i
\(472\) 60855.3 + 381180.i 0.273158 + 1.71099i
\(473\) 4128.49 + 7150.76i 0.0184531 + 0.0319617i
\(474\) 66930.7 + 172376.i 0.297899 + 0.767222i
\(475\) 197438. + 113991.i 0.875071 + 0.505223i
\(476\) −94627.9 + 27218.4i −0.417643 + 0.120129i
\(477\) −237499. + 357377.i −1.04382 + 1.57069i
\(478\) −9030.61 + 11994.3i −0.0395240 + 0.0524951i
\(479\) −166330. 96030.5i −0.724935 0.418541i 0.0916316 0.995793i \(-0.470792\pi\)
−0.816566 + 0.577252i \(0.804125\pi\)
\(480\) 18589.5 + 2178.97i 0.0806837 + 0.00945733i
\(481\) −202076. 350006.i −0.873422 1.51281i
\(482\) 43563.3 356005.i 0.187511 1.53237i
\(483\) −61852.1 115369.i −0.265131 0.494534i
\(484\) −226956. 56388.2i −0.968838 0.240712i
\(485\) −13848.1 −0.0588715
\(486\) 65075.4 227055.i 0.275514 0.961297i
\(487\) 52885.1i 0.222985i 0.993765 + 0.111492i \(0.0355631\pi\)
−0.993765 + 0.111492i \(0.964437\pi\)
\(488\) 67232.2 + 82815.7i 0.282317 + 0.347755i
\(489\) −125777. + 67432.0i −0.525999 + 0.282000i
\(490\) 1840.98 15044.7i 0.00766754 0.0626602i
\(491\) 6368.89 3677.08i 0.0264180 0.0152525i −0.486733 0.873551i \(-0.661811\pi\)
0.513151 + 0.858298i \(0.328478\pi\)
\(492\) 42022.7 + 165539.i 0.173602 + 0.683864i
\(493\) 84984.9 147198.i 0.349662 0.605632i
\(494\) 243521. 323440.i 0.997890 1.32538i
\(495\) −684.952 455.193i −0.00279544 0.00185774i
\(496\) −187086. 298308.i −0.760465 1.21255i
\(497\) 6064.75 10504.4i 0.0245527 0.0425266i
\(498\) 104095. + 268092.i 0.419733 + 1.08100i
\(499\) −359442. + 207524.i −1.44354 + 0.833426i −0.998084 0.0618804i \(-0.980290\pi\)
−0.445452 + 0.895306i \(0.646957\pi\)
\(500\) 28098.6 29144.9i 0.112394 0.116580i
\(501\) −3204.80 1987.31i −0.0127681 0.00791756i
\(502\) 14465.6 + 34039.8i 0.0574021 + 0.135076i
\(503\) 53242.3i 0.210436i 0.994449 + 0.105218i \(0.0335541\pi\)
−0.994449 + 0.105218i \(0.966446\pi\)
\(504\) 11420.2 + 119385.i 0.0449587 + 0.469991i
\(505\) −6277.63 −0.0246157
\(506\) −11571.0 + 4917.22i −0.0451929 + 0.0192052i
\(507\) −426577. 13429.9i −1.65952 0.0522465i
\(508\) −241659. 232984.i −0.936431 0.902813i
\(509\) 248630. + 430640.i 0.959662 + 1.66218i 0.723319 + 0.690515i \(0.242616\pi\)
0.236344 + 0.971669i \(0.424051\pi\)
\(510\) 2968.54 19220.7i 0.0114131 0.0738974i
\(511\) −29898.4 17261.9i −0.114500 0.0661068i
\(512\) −233130. + 119875.i −0.889320 + 0.457286i
\(513\) 25236.6 266492.i 0.0958952 1.01263i
\(514\) −48730.9 36689.9i −0.184450 0.138874i
\(515\) −19109.5 11032.9i −0.0720501 0.0415981i
\(516\) 165938. + 170377.i 0.623229 + 0.639899i
\(517\) 888.614 + 1539.12i 0.00332454 + 0.00575828i
\(518\) 134675. + 16479.7i 0.501910 + 0.0614173i
\(519\) 172722. + 5437.79i 0.641227 + 0.0201877i
\(520\) −22581.7 27815.8i −0.0835123 0.102869i
\(521\) −58965.8 −0.217233 −0.108616 0.994084i \(-0.534642\pi\)
−0.108616 + 0.994084i \(0.534642\pi\)
\(522\) −157227. 134679.i −0.577015 0.494263i
\(523\) 117488.i 0.429527i 0.976666 + 0.214763i \(0.0688980\pi\)
−0.976666 + 0.214763i \(0.931102\pi\)
\(524\) 110140. 443301.i 0.401128 1.61449i
\(525\) 109865. + 68127.8i 0.398603 + 0.247176i
\(526\) −410222. 50197.6i −1.48268 0.181431i
\(527\) −316868. + 182944.i −1.14093 + 0.658714i
\(528\) 11518.4 58.5059i 0.0413165 0.000209861i
\(529\) 57713.8 99963.2i 0.206238 0.357214i
\(530\) 34379.8 + 25884.8i 0.122391 + 0.0921497i
\(531\) 30731.0 487573.i 0.108990 1.72922i
\(532\) 37571.7 + 130623.i 0.132751 + 0.461525i
\(533\) 163465. 283129.i 0.575399 0.996620i
\(534\) −248653. 199777.i −0.871990 0.700589i
\(535\) 24810.8 14324.5i 0.0866828 0.0500463i
\(536\) 22233.7 + 139266.i 0.0773896 + 0.484747i
\(537\) −395185. + 211867.i −1.37041 + 0.734709i
\(538\) −316664. + 134570.i −1.09404 + 0.464925i
\(539\) 9327.75i 0.0321070i
\(540\) −22348.6 7853.80i −0.0766413 0.0269335i
\(541\) −16461.8 −0.0562448 −0.0281224 0.999604i \(-0.508953\pi\)
−0.0281224 + 0.999604i \(0.508953\pi\)
\(542\) −24450.6 57536.2i −0.0832322 0.195859i
\(543\) 59410.5 + 110815.i 0.201495 + 0.375837i
\(544\) 115626. + 246635.i 0.390713 + 0.833407i
\(545\) 16580.6 + 28718.4i 0.0558222 + 0.0966869i
\(546\) 143788. 178966.i 0.482322 0.600324i
\(547\) 337391. + 194793.i 1.12761 + 0.651026i 0.943333 0.331848i \(-0.107672\pi\)
0.184277 + 0.982874i \(0.441006\pi\)
\(548\) −2737.18 9516.13i −0.00911470 0.0316883i
\(549\) −60014.2 120932.i −0.199118 0.401234i
\(550\) 7468.01 9918.87i 0.0246876 0.0327897i
\(551\) −203189. 117312.i −0.669265 0.386400i
\(552\) −288192. + 219285.i −0.945810 + 0.719666i
\(553\) 59415.7 + 102911.i 0.194290 + 0.336521i
\(554\) 27505.9 224782.i 0.0896202 0.732388i
\(555\) −14123.3 + 22775.6i −0.0458510 + 0.0739407i
\(556\) −74929.6 + 301583.i −0.242384 + 0.975567i
\(557\) 434133. 1.39931 0.699653 0.714483i \(-0.253338\pi\)
0.699653 + 0.714483i \(0.253338\pi\)
\(558\) 148154. + 420305.i 0.475821 + 1.34988i
\(559\) 455263.i 1.45693i
\(560\) 12019.9 439.547i 0.0383289 0.00140162i
\(561\) 376.630 11963.0i 0.00119671 0.0380113i
\(562\) −53961.3 + 440979.i −0.170848 + 1.39619i
\(563\) 192477. 111127.i 0.607244 0.350592i −0.164642 0.986353i \(-0.552647\pi\)
0.771886 + 0.635761i \(0.219314\pi\)
\(564\) 35716.5 + 36671.8i 0.112282 + 0.115285i
\(565\) 12005.6 20794.2i 0.0376084 0.0651397i
\(566\) −219417. + 291425.i −0.684916 + 0.909692i
\(567\) 19058.0 150585.i 0.0592805 0.468400i
\(568\) −31341.2 11986.4i −0.0971448 0.0371529i
\(569\) −1962.56 + 3399.25i −0.00606175 + 0.0104993i −0.869040 0.494741i \(-0.835263\pi\)
0.862979 + 0.505240i \(0.168596\pi\)
\(570\) −26531.9 4097.72i −0.0816617 0.0126123i
\(571\) 331554. 191423.i 1.01691 0.587112i 0.103702 0.994608i \(-0.466931\pi\)
0.913207 + 0.407496i \(0.133598\pi\)
\(572\) −15873.3 15303.5i −0.0485151 0.0467734i
\(573\) 8827.80 280399.i 0.0268871 0.854019i
\(574\) 42926.0 + 101012.i 0.130286 + 0.306583i
\(575\) 390347.i 1.18063i
\(576\) 321157. 83265.8i 0.967995 0.250970i
\(577\) 18219.2 0.0547239 0.0273620 0.999626i \(-0.491289\pi\)
0.0273620 + 0.999626i \(0.491289\pi\)
\(578\) −46974.5 + 19962.3i −0.140607 + 0.0597524i
\(579\) 128045. 206489.i 0.381948 0.615941i
\(580\) −14410.7 + 14947.3i −0.0428380 + 0.0444331i
\(581\) 92407.6 + 160055.i 0.273751 + 0.474150i
\(582\) −228828. + 88849.9i −0.675559 + 0.262308i
\(583\) 22935.9 + 13242.0i 0.0674806 + 0.0389599i
\(584\) −34116.5 + 89205.4i −0.100032 + 0.261556i
\(585\) 20157.4 + 40618.3i 0.0589009 + 0.118689i
\(586\) −265277. 199730.i −0.772510 0.581630i
\(587\) 45835.0 + 26462.8i 0.133021 + 0.0767998i 0.565034 0.825068i \(-0.308863\pi\)
−0.432013 + 0.901868i \(0.642196\pi\)
\(588\) −66107.0 260413.i −0.191202 0.753197i
\(589\) 252532. + 437399.i 0.727924 + 1.26080i
\(590\) −48633.7 5951.16i −0.139712 0.0170961i
\(591\) 44295.9 + 82622.8i 0.126820 + 0.236551i
\(592\) −13716.5 375093.i −0.0391380 1.07028i
\(593\) 216280. 0.615046 0.307523 0.951541i \(-0.400500\pi\)
0.307523 + 0.951541i \(0.400500\pi\)
\(594\) −14238.8 3127.01i −0.0403554 0.00886249i
\(595\) 12498.3i 0.0353033i
\(596\) −9616.14 2389.17i −0.0270713 0.00672597i
\(597\) 66935.4 35885.6i 0.187805 0.100686i
\(598\) 688072. + 84197.3i 1.92412 + 0.235448i
\(599\) 260151. 150198.i 0.725057 0.418612i −0.0915543 0.995800i \(-0.529184\pi\)
0.816611 + 0.577188i \(0.195850\pi\)
\(600\) 138197. 329844.i 0.383880 0.916232i
\(601\) −255485. + 442514.i −0.707322 + 1.22512i 0.258525 + 0.966005i \(0.416764\pi\)
−0.965847 + 0.259113i \(0.916570\pi\)
\(602\) 122099. + 91929.8i 0.336915 + 0.253667i
\(603\) 11227.7 178137.i 0.0308785 0.489913i
\(604\) −66725.9 + 19192.8i −0.182903 + 0.0526094i
\(605\) 14841.8 25706.8i 0.0405487 0.0702324i
\(606\) −103733. + 40277.6i −0.282469 + 0.109678i
\(607\) −154217. + 89037.5i −0.418558 + 0.241655i −0.694460 0.719531i \(-0.744357\pi\)
0.275902 + 0.961186i \(0.411024\pi\)
\(608\) 340450. 159608.i 0.920972 0.431765i
\(609\) −113065. 70112.4i −0.304856 0.189043i
\(610\) −12461.3 + 5295.56i −0.0334892 + 0.0142316i
\(611\) 97990.4i 0.262483i
\(612\) −74268.4 336653.i −0.198290 0.898835i
\(613\) 570495. 1.51821 0.759103 0.650970i \(-0.225638\pi\)
0.759103 + 0.650970i \(0.225638\pi\)
\(614\) 102004. + 240032.i 0.270571 + 0.636697i
\(615\) −21667.8 682.167i −0.0572881 0.00180360i
\(616\) 7309.59 1166.97i 0.0192633 0.00307538i
\(617\) −107951. 186976.i −0.283567 0.491153i 0.688694 0.725052i \(-0.258185\pi\)
−0.972261 + 0.233900i \(0.924851\pi\)
\(618\) −386556. 59701.7i −1.01213 0.156318i
\(619\) −158318. 91404.9i −0.413189 0.238555i 0.278970 0.960300i \(-0.410007\pi\)
−0.692159 + 0.721745i \(0.743340\pi\)
\(620\) 42953.6 12355.0i 0.111742 0.0321410i
\(621\) 416758. 190721.i 1.08069 0.494556i
\(622\) −321672. + 427238.i −0.831442 + 1.10431i
\(623\) −177515. 102489.i −0.457362 0.264058i
\(624\) −551613. 314749.i −1.41666 0.808342i
\(625\) −191454. 331608.i −0.490123 0.848918i
\(626\) −5460.93 + 44627.4i −0.0139353 + 0.113881i
\(627\) −16513.4 519.893i −0.0420052 0.00132245i
\(628\) 96393.6 + 23949.4i 0.244415 + 0.0607261i
\(629\) −390019. −0.985791
\(630\) −14964.0 2795.82i −0.0377021 0.00704413i
\(631\) 153307.i 0.385037i 0.981293 + 0.192518i \(0.0616655\pi\)
−0.981293 + 0.192518i \(0.938335\pi\)
\(632\) 255221. 207196.i 0.638972 0.518736i
\(633\) −175506. 108832.i −0.438011 0.271613i
\(634\) 19048.1 155664.i 0.0473885 0.387265i
\(635\) 36899.8 21304.1i 0.0915117 0.0528343i
\(636\) 734176. + 207144.i 1.81504 + 0.512103i
\(637\) −257150. + 445397.i −0.633736 + 1.09766i
\(638\) −7685.56 + 10207.8i −0.0188814 + 0.0250779i
\(639\) 35370.0 + 23505.6i 0.0866231 + 0.0575664i
\(640\) −6443.06 32644.5i −0.0157301 0.0796986i
\(641\) −196626. + 340566.i −0.478547 + 0.828869i −0.999697 0.0245966i \(-0.992170\pi\)
0.521150 + 0.853465i \(0.325503\pi\)
\(642\) 318071. 395888.i 0.771711 0.960512i
\(643\) −384971. + 222263.i −0.931120 + 0.537583i −0.887166 0.461451i \(-0.847329\pi\)
−0.0439545 + 0.999034i \(0.513996\pi\)
\(644\) −161522. + 167536.i −0.389456 + 0.403958i
\(645\) −26605.9 + 14264.0i −0.0639525 + 0.0342864i
\(646\) −152810. 359586.i −0.366173 0.861663i
\(647\) 152505.i 0.364314i 0.983269 + 0.182157i \(0.0583079\pi\)
−0.983269 + 0.182157i \(0.941692\pi\)
\(648\) −419683. + 13612.3i −0.999474 + 0.0324176i
\(649\) −30153.0 −0.0715881
\(650\) −630042. + 267743.i −1.49122 + 0.633711i
\(651\) 135319. + 252404.i 0.319299 + 0.595572i
\(652\) 182650. + 176093.i 0.429660 + 0.414235i
\(653\) 149617. + 259144.i 0.350876 + 0.607736i 0.986403 0.164343i \(-0.0525504\pi\)
−0.635527 + 0.772079i \(0.719217\pi\)
\(654\) 458240. + 368167.i 1.07137 + 0.860774i
\(655\) 50211.7 + 28989.8i 0.117037 + 0.0675713i
\(656\) 257224. 161321.i 0.597728 0.374871i
\(657\) 66903.0 100672.i 0.154994 0.233227i
\(658\) 26280.6 + 19786.9i 0.0606992 + 0.0457010i
\(659\) 361192. + 208535.i 0.831702 + 0.480183i 0.854435 0.519558i \(-0.173903\pi\)
−0.0227330 + 0.999742i \(0.507237\pi\)
\(660\) −397.013 + 1407.13i −0.000911417 + 0.00323032i
\(661\) −379775. 657790.i −0.869208 1.50551i −0.862808 0.505532i \(-0.831296\pi\)
−0.00639999 0.999980i \(-0.502037\pi\)
\(662\) −296792. 36317.5i −0.677230 0.0828706i
\(663\) −347783. + 560846.i −0.791191 + 1.27590i
\(664\) 396938. 322246.i 0.900298 0.730888i
\(665\) −17252.3 −0.0390126
\(666\) −87245.9 + 466964.i −0.196697 + 1.05277i
\(667\) 401718.i 0.902962i
\(668\) −1616.48 + 6506.14i −0.00362257 + 0.0145804i
\(669\) −18198.9 + 578056.i −0.0406625 + 1.29157i
\(670\) −17768.5 2174.28i −0.0395824 0.00484358i
\(671\) −7216.22 + 4166.29i −0.0160275 + 0.00925346i
\(672\) 195800. 84383.8i 0.433584 0.186862i
\(673\) 18836.0 32624.9i 0.0415871 0.0720309i −0.844483 0.535583i \(-0.820092\pi\)
0.886070 + 0.463552i \(0.153425\pi\)
\(674\) 453184. + 341207.i 0.997597 + 0.751100i
\(675\) −262256. + 368897.i −0.575596 + 0.809651i
\(676\) 209735. + 729170.i 0.458964 + 1.59564i
\(677\) 347010. 601039.i 0.757120 1.31137i −0.187193 0.982323i \(-0.559939\pi\)
0.944313 0.329047i \(-0.106728\pi\)
\(678\) 64965.2 420636.i 0.141326 0.915056i
\(679\) −136614. + 78873.9i −0.296315 + 0.171078i
\(680\) −34142.9 + 5450.90i −0.0738385 + 0.0117883i
\(681\) −1899.01 + 60318.5i −0.00409479 + 0.130064i
\(682\) 25314.9 10757.8i 0.0544261 0.0231289i
\(683\) 357197.i 0.765714i −0.923808 0.382857i \(-0.874940\pi\)
0.923808 0.382857i \(-0.125060\pi\)
\(684\) −464710. + 102519.i −0.993275 + 0.219124i
\(685\) 1256.87 0.00267861
\(686\) −154427. 363391.i −0.328152 0.772194i
\(687\) 168616. 271916.i 0.357261 0.576131i
\(688\) 197884. 373647.i 0.418054 0.789376i
\(689\) −730122. 1.26461e6i −1.53800 2.66390i
\(690\) −16637.7 42849.4i −0.0349457 0.0900008i
\(691\) −384473. 221976.i −0.805212 0.464889i 0.0400786 0.999197i \(-0.487239\pi\)
−0.845290 + 0.534307i \(0.820573\pi\)
\(692\) −84922.2 295242.i −0.177341 0.616547i
\(693\) −9349.80 589.303i −0.0194686 0.00122708i
\(694\) 440359. 584876.i 0.914297 1.21435i
\(695\) −34159.6 19722.1i −0.0707202 0.0408304i
\(696\) −142222. + 339452.i −0.293596 + 0.700745i
\(697\) −157749. 273228.i −0.324713 0.562420i
\(698\) −65374.2 + 534247.i −0.134182 + 1.09656i
\(699\) 265526. + 495272.i 0.543442 + 1.01365i
\(700\) 55415.0 223039.i 0.113092 0.455182i
\(701\) −483771. −0.984474 −0.492237 0.870461i \(-0.663821\pi\)
−0.492237 + 0.870461i \(0.663821\pi\)
\(702\) 593694. + 541854.i 1.20473 + 1.09953i
\(703\) 538375.i 1.08937i
\(704\) −6375.91 19459.5i −0.0128646 0.0392632i
\(705\) −5726.62 + 3070.17i −0.0115218 + 0.00617710i
\(706\) 97304.0 795181.i 0.195219 1.59535i
\(707\) −61929.9 + 35755.3i −0.123897 + 0.0715321i
\(708\) −841816. + 213698.i −1.67939 + 0.426319i
\(709\) −79169.5 + 137126.i −0.157494 + 0.272788i −0.933965 0.357366i \(-0.883675\pi\)
0.776470 + 0.630154i \(0.217008\pi\)
\(710\) 2561.85 3402.60i 0.00508203 0.00674986i
\(711\) −372688. + 184951.i −0.737236 + 0.365863i
\(712\) −202559. + 529638.i −0.399569 + 1.04477i
\(713\) −432382. + 748907.i −0.850527 + 1.47316i
\(714\) −80189.5 206524.i −0.157297 0.405110i
\(715\) 2423.76 1399.36i 0.00474108 0.00273726i
\(716\) 573875. + 553273.i 1.11942 + 1.07923i
\(717\) −28709.3 17802.8i −0.0558450 0.0346297i
\(718\) −252154. 593359.i −0.489122 1.15098i
\(719\) 781622.i 1.51196i −0.654597 0.755978i \(-0.727162\pi\)
0.654597 0.755978i \(-0.272838\pi\)
\(720\) −1111.37 + 42098.1i −0.00214384 + 0.0812078i
\(721\) −251358. −0.483529
\(722\) −16604.7 + 7056.34i −0.0318535 + 0.0135365i
\(723\) 806587. + 25393.8i 1.54303 + 0.0485792i
\(724\) 155146. 160923.i 0.295980 0.307001i
\(725\) 198358. + 343566.i 0.377375 + 0.653633i
\(726\) 80313.1 520011.i 0.152375 0.986595i
\(727\) −51590.1 29785.6i −0.0976107 0.0563556i 0.450400 0.892827i \(-0.351281\pi\)
−0.548011 + 0.836471i \(0.684615\pi\)
\(728\) −381202. 145790.i −0.719271 0.275085i
\(729\) 521994. + 99759.6i 0.982223 + 0.187715i
\(730\) −9684.71 7291.71i −0.0181736 0.0136831i
\(731\) −380482. 219672.i −0.712032 0.411092i
\(732\) −171937. + 167457.i −0.320883 + 0.312523i
\(733\) 106923. + 185196.i 0.199004 + 0.344685i 0.948206 0.317657i \(-0.102896\pi\)
−0.749202 + 0.662342i \(0.769563\pi\)
\(734\) −792350. 96957.5i −1.47070 0.179966i
\(735\) 34086.2 + 1073.13i 0.0630963 + 0.00198646i
\(736\) 528122. + 368179.i 0.974943 + 0.679678i
\(737\) −11016.5 −0.0202819
\(738\) −362420. + 127750.i −0.665425 + 0.234556i
\(739\) 218903.i 0.400832i −0.979711 0.200416i \(-0.935771\pi\)
0.979711 0.200416i \(-0.0642294\pi\)
\(740\) 46237.2 + 11487.8i 0.0844361 + 0.0209785i
\(741\) 774180. + 480073.i 1.40996 + 0.874320i
\(742\) 486594. + 59543.1i 0.883810 + 0.108149i
\(743\) 431487. 249119.i 0.781610 0.451263i −0.0553907 0.998465i \(-0.517640\pi\)
0.837001 + 0.547202i \(0.184307\pi\)
\(744\) 630503. 479749.i 1.13905 0.866699i
\(745\) 628.850 1089.20i 0.00113301 0.00196243i
\(746\) 18497.9 + 13927.3i 0.0332388 + 0.0250258i
\(747\) −579631. + 287650.i −1.03875 + 0.515493i
\(748\) −20448.9 + 5881.85i −0.0365483 + 0.0105126i
\(749\) 163175. 282628.i 0.290864 0.503792i
\(750\) 71009.4 + 57051.6i 0.126239 + 0.101425i
\(751\) −534346. + 308505.i −0.947421 + 0.546994i −0.892279 0.451485i \(-0.850894\pi\)
−0.0551419 + 0.998479i \(0.517561\pi\)
\(752\) 42592.3 80423.4i 0.0753174 0.142215i
\(753\) −73342.9 + 39320.8i −0.129350 + 0.0693477i
\(754\) 648396. 275543.i 1.14051 0.484670i
\(755\) 8813.01i 0.0154607i
\(756\) −265206. + 49811.1i −0.464023 + 0.0871530i
\(757\) 483106. 0.843045 0.421523 0.906818i \(-0.361496\pi\)
0.421523 + 0.906818i \(0.361496\pi\)
\(758\) 340938. + 802283.i 0.593386 + 1.39633i
\(759\) −13366.1 24931.1i −0.0232018 0.0432771i
\(760\) 7524.32 + 47130.2i 0.0130269 + 0.0815966i
\(761\) 68847.3 + 119247.i 0.118882 + 0.205910i 0.919325 0.393499i \(-0.128736\pi\)
−0.800443 + 0.599409i \(0.795402\pi\)
\(762\) 473051. 588785.i 0.814701 1.01402i
\(763\) 327141.