Properties

Label 230.4.g.b.81.2
Level $230$
Weight $4$
Character 230.81
Analytic conductor $13.570$
Analytic rank $0$
Dimension $60$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 230 = 2 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 230.g (of order \(11\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(13.5704393013\)
Analytic rank: \(0\)
Dimension: \(60\)
Relative dimension: \(6\) over \(\Q(\zeta_{11})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 81.2
Character \(\chi\) \(=\) 230.81
Dual form 230.4.g.b.71.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.68251 + 1.08128i) q^{2} +(-0.719442 + 5.00383i) q^{3} +(1.66166 - 3.63853i) q^{4} +(-4.79746 + 1.40866i) q^{5} +(-4.20008 - 9.19689i) q^{6} +(9.79868 + 11.3083i) q^{7} +(1.13852 + 7.91857i) q^{8} +(1.38563 + 0.406859i) q^{9} +O(q^{10})\) \(q+(-1.68251 + 1.08128i) q^{2} +(-0.719442 + 5.00383i) q^{3} +(1.66166 - 3.63853i) q^{4} +(-4.79746 + 1.40866i) q^{5} +(-4.20008 - 9.19689i) q^{6} +(9.79868 + 11.3083i) q^{7} +(1.13852 + 7.91857i) q^{8} +(1.38563 + 0.406859i) q^{9} +(6.54861 - 7.55750i) q^{10} +(33.3817 + 21.4531i) q^{11} +(17.0111 + 10.9324i) q^{12} +(-17.7157 + 20.4450i) q^{13} +(-28.7138 - 8.43113i) q^{14} +(-3.59721 - 25.0191i) q^{15} +(-10.4778 - 12.0920i) q^{16} +(1.56041 + 3.41682i) q^{17} +(-2.77127 + 0.813717i) q^{18} +(-38.8393 + 85.0461i) q^{19} +(-2.84630 + 19.7964i) q^{20} +(-63.6342 + 40.8952i) q^{21} -79.3618 q^{22} +(71.3386 + 84.1297i) q^{23} -40.4423 q^{24} +(21.0313 - 13.5160i) q^{25} +(7.69996 - 53.5544i) q^{26} +(-59.7338 + 130.799i) q^{27} +(57.4276 - 16.8623i) q^{28} +(-122.698 - 268.672i) q^{29} +(33.1051 + 38.2053i) q^{30} +(-34.3519 - 238.923i) q^{31} +(30.7038 + 9.01544i) q^{32} +(-131.364 + 151.602i) q^{33} +(-6.31995 - 4.06159i) q^{34} +(-62.9384 - 40.4480i) q^{35} +(3.78282 - 4.36560i) q^{36} +(153.661 + 45.1191i) q^{37} +(-26.6115 - 185.087i) q^{38} +(-89.5576 - 103.355i) q^{39} +(-16.6166 - 36.3853i) q^{40} +(-473.706 + 139.093i) q^{41} +(62.8458 - 137.613i) q^{42} +(-40.6616 + 282.808i) q^{43} +(133.527 - 85.8124i) q^{44} -7.22065 q^{45} +(-210.996 - 64.4117i) q^{46} -206.521 q^{47} +(68.0444 - 43.7295i) q^{48} +(16.9509 - 117.896i) q^{49} +(-20.7708 + 45.4816i) q^{50} +(-18.2198 + 5.34982i) q^{51} +(44.9521 + 98.4315i) q^{52} +(-341.231 - 393.802i) q^{53} +(-40.9278 - 284.659i) q^{54} +(-190.368 - 55.8970i) q^{55} +(-78.3894 + 90.4662i) q^{56} +(-397.613 - 255.531i) q^{57} +(496.951 + 319.371i) q^{58} +(-188.191 + 217.184i) q^{59} +(-97.0101 - 28.4847i) q^{60} +(114.116 + 793.697i) q^{61} +(316.140 + 364.845i) q^{62} +(8.97651 + 19.6558i) q^{63} +(-61.4076 + 18.0309i) q^{64} +(56.1902 - 123.039i) q^{65} +(57.0962 - 397.113i) q^{66} +(752.771 - 483.776i) q^{67} +15.0251 q^{68} +(-472.294 + 296.439i) q^{69} +149.630 q^{70} +(120.242 - 77.2748i) q^{71} +(-1.64417 + 11.4355i) q^{72} +(-431.624 + 945.124i) q^{73} +(-307.323 + 90.2382i) q^{74} +(52.5010 + 114.961i) q^{75} +(244.905 + 282.636i) q^{76} +(84.4987 + 587.702i) q^{77} +(262.437 + 77.0585i) q^{78} +(-113.395 + 130.865i) q^{79} +(67.3003 + 43.2513i) q^{80} +(-578.718 - 371.919i) q^{81} +(646.616 - 746.234i) q^{82} +(158.306 + 46.4829i) q^{83} +(43.0600 + 299.489i) q^{84} +(-12.2992 - 14.1940i) q^{85} +(-237.381 - 519.793i) q^{86} +(1432.66 - 420.667i) q^{87} +(-131.872 + 288.760i) q^{88} +(76.4669 - 531.839i) q^{89} +(12.1488 - 7.80756i) q^{90} -404.787 q^{91} +(424.649 - 119.772i) q^{92} +1220.24 q^{93} +(347.473 - 223.308i) q^{94} +(66.5287 - 462.717i) q^{95} +(-67.2013 + 147.150i) q^{96} +(1475.97 - 433.385i) q^{97} +(98.9591 + 216.690i) q^{98} +(37.5264 + 43.3078i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 60q + 12q^{2} - 3q^{3} - 24q^{4} - 30q^{5} + 6q^{6} + 100q^{7} + 48q^{8} + 69q^{9} + O(q^{10}) \) \( 60q + 12q^{2} - 3q^{3} - 24q^{4} - 30q^{5} + 6q^{6} + 100q^{7} + 48q^{8} + 69q^{9} + 60q^{10} - 51q^{11} + 120q^{12} + 184q^{13} + 20q^{14} - 15q^{15} - 96q^{16} - 334q^{17} - 138q^{18} + 258q^{19} - 120q^{20} + 716q^{21} + 344q^{22} - 288q^{23} + 288q^{24} - 150q^{25} + 336q^{26} - 813q^{27} - 40q^{28} + 1462q^{29} + 30q^{30} - 481q^{31} + 192q^{32} + 269q^{33} - 168q^{34} - 380q^{35} + 12q^{36} - 787q^{37} - 978q^{38} + 2065q^{39} + 240q^{40} - 1843q^{41} + 724q^{42} + 128q^{43} - 204q^{44} + 2380q^{45} + 92q^{46} - 1838q^{47} + 480q^{48} - 606q^{49} + 300q^{50} + 2320q^{51} - 12q^{52} - 3284q^{53} + 636q^{54} - 200q^{55} - 800q^{56} - 2710q^{57} - 856q^{58} - 2708q^{59} - 60q^{60} + 437q^{61} + 962q^{62} + 6063q^{63} - 384q^{64} - 15q^{65} + 1090q^{66} + 2804q^{67} + 600q^{68} + 7900q^{69} - 120q^{70} + 2676q^{71} + 1384q^{72} + 876q^{73} + 1574q^{74} - 75q^{75} + 20q^{76} + 9310q^{77} - 2612q^{78} - 1233q^{79} - 480q^{80} - 6030q^{81} - 1132q^{82} - 9923q^{83} - 964q^{84} + 1300q^{85} + 5222q^{86} - 5719q^{87} - 1176q^{88} - 1827q^{89} + 190q^{90} - 7626q^{91} + 564q^{92} + 230q^{93} - 1142q^{94} + 2445q^{95} + 96q^{96} + 939q^{97} - 5916q^{98} - 10589q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(51\)
\(\chi(n)\) \(1\) \(e\left(\frac{10}{11}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.68251 + 1.08128i −0.594856 + 0.382291i
\(3\) −0.719442 + 5.00383i −0.138457 + 0.962987i 0.795590 + 0.605835i \(0.207161\pi\)
−0.934047 + 0.357151i \(0.883748\pi\)
\(4\) 1.66166 3.63853i 0.207708 0.454816i
\(5\) −4.79746 + 1.40866i −0.429098 + 0.125995i
\(6\) −4.20008 9.19689i −0.285779 0.625769i
\(7\) 9.79868 + 11.3083i 0.529079 + 0.610590i 0.955881 0.293756i \(-0.0949052\pi\)
−0.426802 + 0.904345i \(0.640360\pi\)
\(8\) 1.13852 + 7.91857i 0.0503159 + 0.349955i
\(9\) 1.38563 + 0.406859i 0.0513198 + 0.0150688i
\(10\) 6.54861 7.55750i 0.207085 0.238989i
\(11\) 33.3817 + 21.4531i 0.914996 + 0.588032i 0.911202 0.411960i \(-0.135156\pi\)
0.00379453 + 0.999993i \(0.498792\pi\)
\(12\) 17.0111 + 10.9324i 0.409223 + 0.262992i
\(13\) −17.7157 + 20.4450i −0.377957 + 0.436185i −0.912576 0.408908i \(-0.865910\pi\)
0.534619 + 0.845093i \(0.320455\pi\)
\(14\) −28.7138 8.43113i −0.548149 0.160951i
\(15\) −3.59721 25.0191i −0.0619197 0.430661i
\(16\) −10.4778 12.0920i −0.163715 0.188937i
\(17\) 1.56041 + 3.41682i 0.0222621 + 0.0487472i 0.920436 0.390892i \(-0.127834\pi\)
−0.898174 + 0.439639i \(0.855106\pi\)
\(18\) −2.77127 + 0.813717i −0.0362885 + 0.0106553i
\(19\) −38.8393 + 85.0461i −0.468965 + 1.02689i 0.516386 + 0.856356i \(0.327277\pi\)
−0.985352 + 0.170535i \(0.945450\pi\)
\(20\) −2.84630 + 19.7964i −0.0318226 + 0.221331i
\(21\) −63.6342 + 40.8952i −0.661244 + 0.424956i
\(22\) −79.3618 −0.769090
\(23\) 71.3386 + 84.1297i 0.646744 + 0.762707i
\(24\) −40.4423 −0.343968
\(25\) 21.0313 13.5160i 0.168251 0.108128i
\(26\) 7.69996 53.5544i 0.0580802 0.403957i
\(27\) −59.7338 + 130.799i −0.425769 + 0.932305i
\(28\) 57.4276 16.8623i 0.387600 0.113810i
\(29\) −122.698 268.672i −0.785672 1.72038i −0.688642 0.725101i \(-0.741793\pi\)
−0.0970304 0.995281i \(-0.530934\pi\)
\(30\) 33.1051 + 38.2053i 0.201471 + 0.232510i
\(31\) −34.3519 238.923i −0.199025 1.38425i −0.807120 0.590387i \(-0.798975\pi\)
0.608095 0.793864i \(-0.291934\pi\)
\(32\) 30.7038 + 9.01544i 0.169616 + 0.0498038i
\(33\) −131.364 + 151.602i −0.692955 + 0.799712i
\(34\) −6.31995 4.06159i −0.0318783 0.0204870i
\(35\) −62.9384 40.4480i −0.303958 0.195342i
\(36\) 3.78282 4.36560i 0.0175130 0.0202111i
\(37\) 153.661 + 45.1191i 0.682751 + 0.200474i 0.604673 0.796473i \(-0.293304\pi\)
0.0780777 + 0.996947i \(0.475122\pi\)
\(38\) −26.6115 185.087i −0.113604 0.790133i
\(39\) −89.5576 103.355i −0.367710 0.424360i
\(40\) −16.6166 36.3853i −0.0656829 0.143825i
\(41\) −473.706 + 139.093i −1.80440 + 0.529820i −0.998096 0.0616791i \(-0.980354\pi\)
−0.806306 + 0.591499i \(0.798536\pi\)
\(42\) 62.8458 137.613i 0.230888 0.505575i
\(43\) −40.6616 + 282.808i −0.144205 + 1.00297i 0.781278 + 0.624183i \(0.214568\pi\)
−0.925483 + 0.378788i \(0.876341\pi\)
\(44\) 133.527 85.8124i 0.457498 0.294016i
\(45\) −7.22065 −0.0239198
\(46\) −210.996 64.4117i −0.676296 0.206456i
\(47\) −206.521 −0.640940 −0.320470 0.947259i \(-0.603841\pi\)
−0.320470 + 0.947259i \(0.603841\pi\)
\(48\) 68.0444 43.7295i 0.204612 0.131496i
\(49\) 16.9509 117.896i 0.0494196 0.343721i
\(50\) −20.7708 + 45.4816i −0.0587486 + 0.128641i
\(51\) −18.2198 + 5.34982i −0.0500252 + 0.0146887i
\(52\) 44.9521 + 98.4315i 0.119880 + 0.262500i
\(53\) −341.231 393.802i −0.884372 1.02062i −0.999628 0.0272833i \(-0.991314\pi\)
0.115256 0.993336i \(-0.463231\pi\)
\(54\) −40.9278 284.659i −0.103140 0.717355i
\(55\) −190.368 55.8970i −0.466712 0.137039i
\(56\) −78.3894 + 90.4662i −0.187058 + 0.215876i
\(57\) −397.613 255.531i −0.923951 0.593787i
\(58\) 496.951 + 319.371i 1.12505 + 0.723025i
\(59\) −188.191 + 217.184i −0.415261 + 0.479237i −0.924387 0.381455i \(-0.875423\pi\)
0.509126 + 0.860692i \(0.329969\pi\)
\(60\) −97.0101 28.4847i −0.208733 0.0612894i
\(61\) 114.116 + 793.697i 0.239526 + 1.66594i 0.654464 + 0.756093i \(0.272894\pi\)
−0.414938 + 0.909850i \(0.636197\pi\)
\(62\) 316.140 + 364.845i 0.647578 + 0.747345i
\(63\) 8.97651 + 19.6558i 0.0179513 + 0.0393079i
\(64\) −61.4076 + 18.0309i −0.119937 + 0.0352166i
\(65\) 56.1902 123.039i 0.107224 0.234787i
\(66\) 57.0962 397.113i 0.106486 0.740624i
\(67\) 752.771 483.776i 1.37262 0.882130i 0.373654 0.927568i \(-0.378105\pi\)
0.998967 + 0.0454384i \(0.0144685\pi\)
\(68\) 15.0251 0.0267950
\(69\) −472.294 + 296.439i −0.824023 + 0.517205i
\(70\) 149.630 0.255489
\(71\) 120.242 77.2748i 0.200987 0.129167i −0.436276 0.899813i \(-0.643703\pi\)
0.637263 + 0.770646i \(0.280066\pi\)
\(72\) −1.64417 + 11.4355i −0.00269121 + 0.0187178i
\(73\) −431.624 + 945.124i −0.692024 + 1.51532i 0.157358 + 0.987542i \(0.449702\pi\)
−0.849382 + 0.527779i \(0.823025\pi\)
\(74\) −307.323 + 90.2382i −0.482778 + 0.141756i
\(75\) 52.5010 + 114.961i 0.0808306 + 0.176994i
\(76\) 244.905 + 282.636i 0.369639 + 0.426586i
\(77\) 84.4987 + 587.702i 0.125059 + 0.869803i
\(78\) 262.437 + 77.0585i 0.380964 + 0.111861i
\(79\) −113.395 + 130.865i −0.161493 + 0.186373i −0.830729 0.556677i \(-0.812076\pi\)
0.669236 + 0.743050i \(0.266622\pi\)
\(80\) 67.3003 + 43.2513i 0.0940550 + 0.0604455i
\(81\) −578.718 371.919i −0.793851 0.510177i
\(82\) 646.616 746.234i 0.870814 1.00497i
\(83\) 158.306 + 46.4829i 0.209354 + 0.0614718i 0.384728 0.923030i \(-0.374295\pi\)
−0.175374 + 0.984502i \(0.556113\pi\)
\(84\) 43.0600 + 299.489i 0.0559313 + 0.389011i
\(85\) −12.2992 14.1940i −0.0156945 0.0181124i
\(86\) −237.381 519.793i −0.297645 0.651752i
\(87\) 1432.66 420.667i 1.76549 0.518394i
\(88\) −131.872 + 288.760i −0.159746 + 0.349795i
\(89\) 76.4669 531.839i 0.0910728 0.633425i −0.892248 0.451546i \(-0.850873\pi\)
0.983321 0.181879i \(-0.0582181\pi\)
\(90\) 12.1488 7.80756i 0.0142288 0.00914432i
\(91\) −404.787 −0.466299
\(92\) 424.649 119.772i 0.481225 0.135730i
\(93\) 1220.24 1.36057
\(94\) 347.473 223.308i 0.381267 0.245026i
\(95\) 66.5287 462.717i 0.0718495 0.499724i
\(96\) −67.2013 + 147.150i −0.0714448 + 0.156442i
\(97\) 1475.97 433.385i 1.54497 0.453645i 0.605380 0.795936i \(-0.293021\pi\)
0.939594 + 0.342291i \(0.111203\pi\)
\(98\) 98.9591 + 216.690i 0.102004 + 0.223357i
\(99\) 37.5264 + 43.3078i 0.0380964 + 0.0439656i
\(100\) −14.2315 98.9821i −0.0142315 0.0989821i
\(101\) 853.817 + 250.703i 0.841168 + 0.246989i 0.673808 0.738907i \(-0.264658\pi\)
0.167360 + 0.985896i \(0.446476\pi\)
\(102\) 24.8703 28.7019i 0.0241424 0.0278618i
\(103\) −695.908 447.233i −0.665727 0.427837i 0.163656 0.986518i \(-0.447671\pi\)
−0.829383 + 0.558681i \(0.811308\pi\)
\(104\) −182.064 117.006i −0.171662 0.110321i
\(105\) 247.675 285.833i 0.230197 0.265661i
\(106\) 999.934 + 293.607i 0.916247 + 0.269034i
\(107\) −26.5959 184.979i −0.0240292 0.167127i 0.974273 0.225370i \(-0.0723592\pi\)
−0.998302 + 0.0582433i \(0.981450\pi\)
\(108\) 376.658 + 434.686i 0.335592 + 0.387294i
\(109\) 818.512 + 1792.29i 0.719259 + 1.57496i 0.814940 + 0.579545i \(0.196770\pi\)
−0.0956815 + 0.995412i \(0.530503\pi\)
\(110\) 380.735 111.794i 0.330015 0.0969013i
\(111\) −336.318 + 736.435i −0.287585 + 0.629723i
\(112\) 34.0713 236.971i 0.0287450 0.199926i
\(113\) −739.388 + 475.176i −0.615538 + 0.395582i −0.810930 0.585143i \(-0.801038\pi\)
0.195392 + 0.980725i \(0.437402\pi\)
\(114\) 945.288 0.776617
\(115\) −460.755 303.117i −0.373614 0.245790i
\(116\) −1181.45 −0.945648
\(117\) −32.8656 + 21.1214i −0.0259695 + 0.0166896i
\(118\) 81.7957 568.902i 0.0638128 0.443827i
\(119\) −23.3484 + 51.1259i −0.0179861 + 0.0393841i
\(120\) 194.020 56.9695i 0.147596 0.0433382i
\(121\) 101.184 + 221.562i 0.0760211 + 0.166463i
\(122\) −1050.21 1212.01i −0.779358 0.899427i
\(123\) −355.192 2470.41i −0.260378 1.81097i
\(124\) −926.408 272.018i −0.670919 0.197000i
\(125\) −81.8576 + 94.4687i −0.0585725 + 0.0675963i
\(126\) −36.3565 23.3649i −0.0257055 0.0165199i
\(127\) 2065.99 + 1327.73i 1.44352 + 0.927692i 0.999498 + 0.0316754i \(0.0100843\pi\)
0.444019 + 0.896017i \(0.353552\pi\)
\(128\) 83.8222 96.7359i 0.0578821 0.0667995i
\(129\) −1385.87 406.927i −0.945882 0.277736i
\(130\) 38.4998 + 267.772i 0.0259743 + 0.180655i
\(131\) 108.310 + 124.996i 0.0722373 + 0.0833663i 0.790718 0.612181i \(-0.209708\pi\)
−0.718481 + 0.695547i \(0.755162\pi\)
\(132\) 333.326 + 729.882i 0.219790 + 0.481273i
\(133\) −1342.30 + 394.135i −0.875128 + 0.256961i
\(134\) −743.444 + 1627.91i −0.479282 + 1.04948i
\(135\) 102.319 711.647i 0.0652315 0.453695i
\(136\) −25.2798 + 16.2463i −0.0159392 + 0.0102435i
\(137\) 1949.36 1.21566 0.607828 0.794069i \(-0.292041\pi\)
0.607828 + 0.794069i \(0.292041\pi\)
\(138\) 474.104 1009.44i 0.292452 0.622678i
\(139\) 754.037 0.460119 0.230060 0.973177i \(-0.426108\pi\)
0.230060 + 0.973177i \(0.426108\pi\)
\(140\) −251.753 + 161.792i −0.151979 + 0.0976709i
\(141\) 148.580 1033.40i 0.0887424 0.617217i
\(142\) −118.752 + 260.031i −0.0701792 + 0.153671i
\(143\) −1029.99 + 302.431i −0.602320 + 0.176857i
\(144\) −9.59862 21.0180i −0.00555476 0.0121632i
\(145\) 967.109 + 1116.10i 0.553890 + 0.639223i
\(146\) −295.735 2056.88i −0.167639 1.16595i
\(147\) 577.738 + 169.639i 0.324156 + 0.0951809i
\(148\) 419.500 484.129i 0.232991 0.268886i
\(149\) −1333.60 857.054i −0.733241 0.471225i 0.119979 0.992776i \(-0.461717\pi\)
−0.853220 + 0.521551i \(0.825354\pi\)
\(150\) −212.639 136.655i −0.115746 0.0743853i
\(151\) 908.142 1048.05i 0.489428 0.564830i −0.456285 0.889834i \(-0.650820\pi\)
0.945713 + 0.325004i \(0.105366\pi\)
\(152\) −717.663 210.725i −0.382962 0.112448i
\(153\) 0.771994 + 5.36933i 0.000407921 + 0.00283716i
\(154\) −777.641 897.445i −0.406910 0.469599i
\(155\) 501.364 + 1097.83i 0.259810 + 0.568904i
\(156\) −524.874 + 154.117i −0.269382 + 0.0790977i
\(157\) −1391.65 + 3047.28i −0.707424 + 1.54904i 0.123308 + 0.992368i \(0.460650\pi\)
−0.830732 + 0.556673i \(0.812078\pi\)
\(158\) 49.2862 342.793i 0.0248165 0.172602i
\(159\) 2216.01 1424.14i 1.10529 0.710327i
\(160\) −160.000 −0.0790569
\(161\) −252.338 + 1631.08i −0.123522 + 0.798428i
\(162\) 1375.85 0.667263
\(163\) −2062.94 + 1325.77i −0.991301 + 0.637070i −0.932489 0.361199i \(-0.882368\pi\)
−0.0588120 + 0.998269i \(0.518731\pi\)
\(164\) −281.046 + 1954.72i −0.133817 + 0.930718i
\(165\) 416.657 912.352i 0.196586 0.430464i
\(166\) −316.612 + 92.9658i −0.148036 + 0.0434671i
\(167\) −554.783 1214.81i −0.257068 0.562901i 0.736461 0.676480i \(-0.236496\pi\)
−0.993529 + 0.113579i \(0.963768\pi\)
\(168\) −396.281 457.332i −0.181986 0.210024i
\(169\) 208.514 + 1450.25i 0.0949085 + 0.660103i
\(170\) 36.0412 + 10.5826i 0.0162602 + 0.00477442i
\(171\) −88.4187 + 102.041i −0.0395412 + 0.0456330i
\(172\) 961.438 + 617.879i 0.426215 + 0.273912i
\(173\) 376.191 + 241.763i 0.165325 + 0.106248i 0.620687 0.784058i \(-0.286854\pi\)
−0.455362 + 0.890306i \(0.650490\pi\)
\(174\) −1955.60 + 2256.89i −0.852034 + 0.983299i
\(175\) 358.922 + 105.389i 0.155040 + 0.0455238i
\(176\) −90.3549 628.432i −0.0386975 0.269147i
\(177\) −951.359 1097.93i −0.404003 0.466244i
\(178\) 446.412 + 977.505i 0.187977 + 0.411613i
\(179\) 254.355 74.6852i 0.106209 0.0311857i −0.228196 0.973615i \(-0.573283\pi\)
0.334405 + 0.942429i \(0.391465\pi\)
\(180\) −11.9983 + 26.2726i −0.00496832 + 0.0108791i
\(181\) 232.873 1619.67i 0.0956315 0.665131i −0.884465 0.466607i \(-0.845476\pi\)
0.980096 0.198524i \(-0.0636148\pi\)
\(182\) 681.057 437.689i 0.277381 0.178262i
\(183\) −4053.62 −1.63744
\(184\) −584.967 + 660.683i −0.234371 + 0.264708i
\(185\) −800.743 −0.318226
\(186\) −2053.07 + 1319.43i −0.809345 + 0.520134i
\(187\) −21.2123 + 147.535i −0.00829519 + 0.0576943i
\(188\) −343.168 + 751.433i −0.133128 + 0.291510i
\(189\) −2064.42 + 606.169i −0.794522 + 0.233293i
\(190\) 388.393 + 850.461i 0.148300 + 0.324731i
\(191\) −1459.81 1684.71i −0.553026 0.638226i 0.408560 0.912732i \(-0.366031\pi\)
−0.961585 + 0.274506i \(0.911486\pi\)
\(192\) −46.0443 320.245i −0.0173071 0.120373i
\(193\) −1561.50 458.496i −0.582378 0.171002i −0.0227436 0.999741i \(-0.507240\pi\)
−0.559634 + 0.828740i \(0.689058\pi\)
\(194\) −2014.73 + 2325.12i −0.745613 + 0.860483i
\(195\) 575.242 + 369.685i 0.211251 + 0.135763i
\(196\) −400.802 257.580i −0.146065 0.0938703i
\(197\) 1859.10 2145.51i 0.672361 0.775946i −0.312383 0.949956i \(-0.601127\pi\)
0.984744 + 0.174011i \(0.0556727\pi\)
\(198\) −109.966 32.2890i −0.0394695 0.0115893i
\(199\) −379.151 2637.05i −0.135062 0.939375i −0.938817 0.344415i \(-0.888077\pi\)
0.803756 0.594959i \(-0.202832\pi\)
\(200\) 130.972 + 151.150i 0.0463056 + 0.0534396i
\(201\) 1879.16 + 4114.78i 0.659431 + 1.44395i
\(202\) −1707.63 + 501.407i −0.594796 + 0.174648i
\(203\) 1835.93 4020.14i 0.634765 1.38994i
\(204\) −10.8097 + 75.1829i −0.00370994 + 0.0258032i
\(205\) 2076.65 1334.58i 0.707511 0.454690i
\(206\) 1654.46 0.559570
\(207\) 64.6202 + 145.598i 0.0216977 + 0.0488876i
\(208\) 432.841 0.144289
\(209\) −3121.02 + 2005.76i −1.03295 + 0.663834i
\(210\) −107.650 + 748.722i −0.0353741 + 0.246032i
\(211\) 37.5900 82.3105i 0.0122645 0.0268554i −0.903401 0.428797i \(-0.858937\pi\)
0.915665 + 0.401942i \(0.131665\pi\)
\(212\) −1999.87 + 587.214i −0.647885 + 0.190236i
\(213\) 300.162 + 657.264i 0.0965577 + 0.211432i
\(214\) 244.762 + 282.471i 0.0781850 + 0.0902303i
\(215\) −203.308 1414.04i −0.0644907 0.448542i
\(216\) −1103.75 324.090i −0.347688 0.102090i
\(217\) 2365.20 2729.59i 0.739910 0.853901i
\(218\) −3315.12 2130.50i −1.02995 0.661907i
\(219\) −4418.71 2839.73i −1.36342 0.876216i
\(220\) −519.709 + 599.776i −0.159267 + 0.183804i
\(221\) −97.5005 28.6287i −0.0296769 0.00871393i
\(222\) −230.435 1602.71i −0.0696657 0.484536i
\(223\) 834.521 + 963.089i 0.250599 + 0.289207i 0.867086 0.498158i \(-0.165990\pi\)
−0.616487 + 0.787365i \(0.711445\pi\)
\(224\) 198.907 + 435.546i 0.0593306 + 0.129916i
\(225\) 34.6408 10.1715i 0.0102640 0.00301377i
\(226\) 730.226 1598.97i 0.214929 0.470629i
\(227\) 475.381 3306.35i 0.138996 0.966741i −0.794272 0.607562i \(-0.792148\pi\)
0.933269 0.359179i \(-0.116943\pi\)
\(228\) −1590.45 + 1022.12i −0.461975 + 0.296894i
\(229\) 2880.46 0.831207 0.415604 0.909546i \(-0.363570\pi\)
0.415604 + 0.909546i \(0.363570\pi\)
\(230\) 1102.98 + 11.7914i 0.316210 + 0.00338044i
\(231\) −3001.55 −0.854924
\(232\) 1987.80 1277.48i 0.562524 0.361512i
\(233\) 7.61828 52.9863i 0.00214202 0.0148981i −0.988722 0.149760i \(-0.952150\pi\)
0.990864 + 0.134862i \(0.0430590\pi\)
\(234\) 32.4584 71.0740i 0.00906783 0.0198558i
\(235\) 990.778 290.919i 0.275026 0.0807551i
\(236\) 477.521 + 1045.63i 0.131712 + 0.288409i
\(237\) −573.244 661.559i −0.157115 0.181320i
\(238\) −15.9976 111.266i −0.00435703 0.0303038i
\(239\) −438.847 128.857i −0.118773 0.0348748i 0.221806 0.975091i \(-0.428805\pi\)
−0.340579 + 0.940216i \(0.610623\pi\)
\(240\) −264.840 + 305.642i −0.0712307 + 0.0822046i
\(241\) −2500.52 1606.99i −0.668352 0.429524i 0.161979 0.986794i \(-0.448212\pi\)
−0.830331 + 0.557270i \(0.811849\pi\)
\(242\) −409.814 263.371i −0.108859 0.0699593i
\(243\) −265.067 + 305.904i −0.0699757 + 0.0807562i
\(244\) 3077.51 + 903.639i 0.807449 + 0.237088i
\(245\) 84.7547 + 589.482i 0.0221011 + 0.153717i
\(246\) 3268.82 + 3772.42i 0.847206 + 0.977727i
\(247\) −1050.70 2300.71i −0.270666 0.592676i
\(248\) 1852.82 544.036i 0.474411 0.139300i
\(249\) −346.484 + 758.695i −0.0881830 + 0.193094i
\(250\) 35.5787 247.455i 0.00900078 0.0626018i
\(251\) 223.532 143.655i 0.0562119 0.0361252i −0.512233 0.858847i \(-0.671182\pi\)
0.568445 + 0.822721i \(0.307545\pi\)
\(252\) 86.4341 0.0216065
\(253\) 576.559 + 4338.83i 0.143272 + 1.07818i
\(254\) −4911.69 −1.21333
\(255\) 79.8729 51.3312i 0.0196150 0.0126058i
\(256\) −36.4326 + 253.394i −0.00889468 + 0.0618638i
\(257\) −821.908 + 1799.73i −0.199491 + 0.436825i −0.982767 0.184850i \(-0.940820\pi\)
0.783276 + 0.621675i \(0.213547\pi\)
\(258\) 2771.73 813.854i 0.668839 0.196389i
\(259\) 995.460 + 2179.75i 0.238822 + 0.522947i
\(260\) −354.313 408.899i −0.0845137 0.0975340i
\(261\) −60.7034 422.201i −0.0143963 0.100129i
\(262\) −317.389 93.1938i −0.0748410 0.0219753i
\(263\) −2774.36 + 3201.79i −0.650474 + 0.750687i −0.981190 0.193043i \(-0.938164\pi\)
0.330716 + 0.943730i \(0.392710\pi\)
\(264\) −1350.03 867.612i −0.314730 0.202265i
\(265\) 2191.78 + 1408.57i 0.508075 + 0.326520i
\(266\) 1832.26 2114.54i 0.422342 0.487408i
\(267\) 2606.22 + 765.254i 0.597370 + 0.175404i
\(268\) −509.385 3542.85i −0.116103 0.807515i
\(269\) 3402.99 + 3927.26i 0.771315 + 0.890145i 0.996450 0.0841822i \(-0.0268278\pi\)
−0.225135 + 0.974328i \(0.572282\pi\)
\(270\) 597.338 + 1307.99i 0.134640 + 0.294821i
\(271\) 5569.46 1635.34i 1.24841 0.366568i 0.410244 0.911976i \(-0.365444\pi\)
0.838171 + 0.545408i \(0.183625\pi\)
\(272\) 24.9666 54.6692i 0.00556552 0.0121868i
\(273\) 291.221 2025.48i 0.0645622 0.449040i
\(274\) −3279.81 + 2107.80i −0.723140 + 0.464734i
\(275\) 992.022 0.217532
\(276\) 293.810 + 2211.04i 0.0640772 + 0.482206i
\(277\) 6305.61 1.36775 0.683877 0.729598i \(-0.260293\pi\)
0.683877 + 0.729598i \(0.260293\pi\)
\(278\) −1268.67 + 815.326i −0.273705 + 0.175899i
\(279\) 49.6087 345.036i 0.0106451 0.0740385i
\(280\) 248.634 544.433i 0.0530669 0.116200i
\(281\) −2328.67 + 683.758i −0.494365 + 0.145159i −0.519406 0.854528i \(-0.673847\pi\)
0.0250407 + 0.999686i \(0.492028\pi\)
\(282\) 867.405 + 1899.35i 0.183167 + 0.401081i
\(283\) 1875.45 + 2164.39i 0.393937 + 0.454627i 0.917722 0.397223i \(-0.130026\pi\)
−0.523785 + 0.851850i \(0.675481\pi\)
\(284\) −81.3653 565.908i −0.0170005 0.118241i
\(285\) 2267.49 + 665.796i 0.471280 + 0.138380i
\(286\) 1405.95 1622.55i 0.290683 0.335466i
\(287\) −6214.59 3993.88i −1.27817 0.821432i
\(288\) 38.8762 + 24.9842i 0.00795417 + 0.00511183i
\(289\) 3208.09 3702.33i 0.652980 0.753579i
\(290\) −2833.99 832.134i −0.573854 0.168499i
\(291\) 1106.71 + 7697.31i 0.222943 + 1.55060i
\(292\) 2721.65 + 3140.95i 0.545453 + 0.629487i
\(293\) 2981.83 + 6529.30i 0.594541 + 1.30186i 0.932659 + 0.360759i \(0.117482\pi\)
−0.338118 + 0.941104i \(0.609790\pi\)
\(294\) −1155.48 + 339.278i −0.229213 + 0.0673031i
\(295\) 596.901 1307.03i 0.117807 0.257960i
\(296\) −182.332 + 1268.15i −0.0358035 + 0.249019i
\(297\) −4800.06 + 3084.81i −0.937803 + 0.602689i
\(298\) 3170.51 0.616318
\(299\) −2983.84 31.8988i −0.577123 0.00616974i
\(300\) 505.528 0.0972889
\(301\) −3596.50 + 2311.33i −0.688700 + 0.442601i
\(302\) −394.716 + 2745.31i −0.0752098 + 0.523096i
\(303\) −1868.75 + 4091.99i −0.354313 + 0.775837i
\(304\) 1435.33 421.450i 0.270795 0.0795125i
\(305\) −1665.52 3646.98i −0.312680 0.684674i
\(306\) −7.10465 8.19920i −0.00132727 0.00153175i
\(307\) −124.134 863.373i −0.0230773 0.160506i 0.975024 0.222099i \(-0.0712909\pi\)
−0.998101 + 0.0615934i \(0.980382\pi\)
\(308\) 2278.78 + 669.109i 0.421576 + 0.123786i
\(309\) 2738.54 3160.45i 0.504175 0.581850i
\(310\) −2030.62 1305.00i −0.372036 0.239093i
\(311\) 1304.18 + 838.146i 0.237792 + 0.152820i 0.654110 0.756399i \(-0.273043\pi\)
−0.416318 + 0.909219i \(0.636680\pi\)
\(312\) 716.461 826.840i 0.130005 0.150034i
\(313\) 7107.44 + 2086.93i 1.28350 + 0.376870i 0.851192 0.524855i \(-0.175880\pi\)
0.432310 + 0.901725i \(0.357698\pi\)
\(314\) −953.514 6631.83i −0.171369 1.19190i
\(315\) −70.7529 81.6532i −0.0126555 0.0146052i
\(316\) 287.732 + 630.044i 0.0512221 + 0.112161i
\(317\) 7682.60 2255.81i 1.36119 0.399682i 0.482009 0.876167i \(-0.339907\pi\)
0.879183 + 0.476485i \(0.158089\pi\)
\(318\) −2188.55 + 4792.26i −0.385937 + 0.845084i
\(319\) 1667.97 11601.0i 0.292753 2.03614i
\(320\) 269.201 173.005i 0.0470275 0.0302227i
\(321\) 944.736 0.164268
\(322\) −1339.09 3017.15i −0.231754 0.522171i
\(323\) −351.193 −0.0604981
\(324\) −2314.87 + 1487.68i −0.396926 + 0.255089i
\(325\) −96.2495 + 669.430i −0.0164276 + 0.114256i
\(326\) 2037.38 4461.24i 0.346135 0.757930i
\(327\) −9557.18 + 2806.24i −1.61625 + 0.474573i
\(328\) −1640.74 3592.72i −0.276203 0.604801i
\(329\) −2023.63 2335.40i −0.339108 0.391352i
\(330\) 285.481 + 1985.56i 0.0476218 + 0.331217i
\(331\) 9266.98 + 2721.03i 1.53885 + 0.451847i 0.937745 0.347324i \(-0.112910\pi\)
0.601104 + 0.799171i \(0.294728\pi\)
\(332\) 432.180 498.763i 0.0714427 0.0824493i
\(333\) 194.561 + 125.037i 0.0320177 + 0.0205765i
\(334\) 2246.97 + 1444.04i 0.368111 + 0.236570i
\(335\) −2929.91 + 3381.30i −0.477846 + 0.551463i
\(336\) 1161.25 + 340.974i 0.188546 + 0.0553620i
\(337\) −267.863 1863.03i −0.0432980 0.301144i −0.999951 0.00991359i \(-0.996844\pi\)
0.956653 0.291231i \(-0.0940647\pi\)
\(338\) −1918.95 2214.59i −0.308808 0.356384i
\(339\) −1845.75 4041.63i −0.295715 0.647526i
\(340\) −72.0823 + 21.1653i −0.0114977 + 0.00337602i
\(341\) 3978.91 8712.60i 0.631877 1.38362i
\(342\) 38.4305 267.290i 0.00607626 0.0422613i
\(343\) 5816.87 3738.28i 0.915690 0.588478i
\(344\) −2285.73 −0.358250
\(345\) 1848.23 2087.46i 0.288422 0.325754i
\(346\) −894.358 −0.138962
\(347\) −6478.25 + 4163.32i −1.00222 + 0.644088i −0.935368 0.353675i \(-0.884932\pi\)
−0.0668522 + 0.997763i \(0.521296\pi\)
\(348\) 849.986 5911.78i 0.130931 0.910646i
\(349\) −2503.18 + 5481.20i −0.383932 + 0.840693i 0.614718 + 0.788747i \(0.289270\pi\)
−0.998650 + 0.0519464i \(0.983457\pi\)
\(350\) −717.845 + 210.778i −0.109630 + 0.0321902i
\(351\) −1615.95 3538.44i −0.245735 0.538085i
\(352\) 831.535 + 959.642i 0.125912 + 0.145310i
\(353\) 737.878 + 5132.06i 0.111256 + 0.773801i 0.966701 + 0.255908i \(0.0823744\pi\)
−0.855445 + 0.517893i \(0.826717\pi\)
\(354\) 2787.84 + 818.583i 0.418565 + 0.122902i
\(355\) −468.002 + 540.103i −0.0699689 + 0.0807485i
\(356\) −1808.05 1161.96i −0.269175 0.172988i
\(357\) −239.027 153.614i −0.0354361 0.0227734i
\(358\) −347.198 + 400.687i −0.0512569 + 0.0591536i
\(359\) 10159.9 + 2983.21i 1.49365 + 0.438574i 0.923703 0.383110i \(-0.125147\pi\)
0.569943 + 0.821684i \(0.306965\pi\)
\(360\) −8.22085 57.1773i −0.00120355 0.00837085i
\(361\) −1232.67 1422.57i −0.179715 0.207402i
\(362\) 1359.50 + 2976.90i 0.197387 + 0.432216i
\(363\) −1181.45 + 346.906i −0.170827 + 0.0501594i
\(364\) −672.619 + 1472.83i −0.0968539 + 0.212080i
\(365\) 739.338 5142.21i 0.106024 0.737413i
\(366\) 6820.25 4383.11i 0.974044 0.625980i
\(367\) −5588.84 −0.794919 −0.397459 0.917620i \(-0.630108\pi\)
−0.397459 + 0.917620i \(0.630108\pi\)
\(368\) 269.826 1744.12i 0.0382220 0.247061i
\(369\) −712.974 −0.100585
\(370\) 1347.26 865.829i 0.189299 0.121655i
\(371\) 1109.60 7717.47i 0.155277 1.07998i
\(372\) 2027.63 4439.89i 0.282601 0.618810i
\(373\) −11083.2 + 3254.33i −1.53852 + 0.451750i −0.937645 0.347595i \(-0.886998\pi\)
−0.600873 + 0.799344i \(0.705180\pi\)
\(374\) −123.837 271.165i −0.0171216 0.0374910i
\(375\) −413.813 477.566i −0.0569846 0.0657637i
\(376\) −235.128 1635.35i −0.0322495 0.224300i
\(377\) 7666.66 + 2251.14i 1.04736 + 0.307531i
\(378\) 2817.96 3252.10i 0.383440 0.442514i
\(379\) −2802.50 1801.06i −0.379827 0.244100i 0.336770 0.941587i \(-0.390665\pi\)
−0.716598 + 0.697486i \(0.754302\pi\)
\(380\) −1573.06 1010.95i −0.212359 0.136475i
\(381\) −8130.08 + 9382.62i −1.09322 + 1.26164i
\(382\) 4277.78 + 1256.07i 0.572958 + 0.168236i
\(383\) −725.592 5046.60i −0.0968042 0.673288i −0.979217 0.202813i \(-0.934992\pi\)
0.882413 0.470475i \(-0.155917\pi\)
\(384\) 423.745 + 489.027i 0.0563128 + 0.0649885i
\(385\) −1233.25 2700.45i −0.163253 0.357474i
\(386\) 3122.99 916.993i 0.411803 0.120916i
\(387\) −171.405 + 375.324i −0.0225142 + 0.0492992i
\(388\) 875.684 6090.51i 0.114578 0.796905i
\(389\) 82.8748 53.2604i 0.0108018 0.00694193i −0.535229 0.844707i \(-0.679775\pi\)
0.546031 + 0.837765i \(0.316138\pi\)
\(390\) −1367.58 −0.177565
\(391\) −176.139 + 375.028i −0.0227819 + 0.0485064i
\(392\) 952.870 0.122773
\(393\) −703.383 + 452.037i −0.0902824 + 0.0580210i
\(394\) −808.040 + 5620.04i −0.103321 + 0.718613i
\(395\) 359.665 787.556i 0.0458144 0.100320i
\(396\) 219.933 64.5781i 0.0279092 0.00819487i
\(397\) 2953.65 + 6467.60i 0.373400 + 0.817631i 0.999288 + 0.0377189i \(0.0120092\pi\)
−0.625889 + 0.779912i \(0.715264\pi\)
\(398\) 3489.32 + 4026.89i 0.439456 + 0.507160i
\(399\) −1006.47 7000.19i −0.126283 0.878315i
\(400\) −383.797 112.693i −0.0479746 0.0140866i
\(401\) −3300.65 + 3809.15i −0.411039 + 0.474364i −0.923086 0.384593i \(-0.874342\pi\)
0.512047 + 0.858957i \(0.328887\pi\)
\(402\) −7610.94 4891.25i −0.944276 0.606849i
\(403\) 5493.33 + 3530.35i 0.679013 + 0.436375i
\(404\) 2330.95 2690.05i 0.287052 0.331275i
\(405\) 3300.29 + 969.051i 0.404920 + 0.118895i
\(406\) 1257.93 + 8749.07i 0.153768 + 1.06948i
\(407\) 4161.54 + 4802.67i 0.506830 + 0.584913i
\(408\) −63.1066 138.184i −0.00765745 0.0167675i
\(409\) −5778.48 + 1696.71i −0.698600 + 0.205127i −0.611700 0.791090i \(-0.709514\pi\)
−0.0868996 + 0.996217i \(0.527696\pi\)
\(410\) −2050.92 + 4490.90i −0.247044 + 0.540950i
\(411\) −1402.45 + 9754.25i −0.168316 + 1.17066i
\(412\) −2783.63 + 1788.93i −0.332864 + 0.213918i
\(413\) −4300.01 −0.512323
\(414\) −266.156 175.096i −0.0315963 0.0207863i
\(415\) −824.947 −0.0975785
\(416\) −728.258 + 468.023i −0.0858312 + 0.0551604i
\(417\) −542.485 + 3773.07i −0.0637065 + 0.443089i
\(418\) 3082.35 6749.41i 0.360677 0.789772i
\(419\) 3782.49 1110.64i 0.441019 0.129495i −0.0536823 0.998558i \(-0.517096\pi\)
0.494701 + 0.869063i \(0.335278\pi\)
\(420\) −628.458 1376.13i −0.0730133 0.159877i
\(421\) 2610.02 + 3012.12i 0.302148 + 0.348698i 0.886438 0.462847i \(-0.153172\pi\)
−0.584290 + 0.811545i \(0.698627\pi\)
\(422\) 25.7555 + 179.133i 0.00297099 + 0.0206637i
\(423\) −286.163 84.0249i −0.0328929 0.00965823i
\(424\) 2729.85 3150.41i 0.312673 0.360843i
\(425\) 78.9994 + 50.7698i 0.00901655 + 0.00579459i
\(426\) −1215.71 781.291i −0.138266 0.0888584i
\(427\) −7857.16 + 9067.64i −0.890479 + 1.02767i
\(428\) −717.244 210.602i −0.0810031 0.0237846i
\(429\) −772.299 5371.45i −0.0869159 0.604513i
\(430\) 1871.04 + 2159.30i 0.209836 + 0.242164i
\(431\) 252.442 + 552.771i 0.0282128 + 0.0617773i 0.923214 0.384287i \(-0.125553\pi\)
−0.895001 + 0.446064i \(0.852825\pi\)
\(432\) 2207.50 648.179i 0.245852 0.0721887i
\(433\) −1279.62 + 2801.99i −0.142020 + 0.310981i −0.967254 0.253810i \(-0.918316\pi\)
0.825234 + 0.564791i \(0.191043\pi\)
\(434\) −1028.02 + 7150.00i −0.113701 + 0.790809i
\(435\) −6280.56 + 4036.27i −0.692253 + 0.444884i
\(436\) 7881.39 0.865711
\(437\) −9925.64 + 2799.53i −1.08652 + 0.306453i
\(438\) 10505.1 1.14601
\(439\) 14715.2 9456.91i 1.59982 1.02814i 0.632504 0.774557i \(-0.282027\pi\)
0.967314 0.253583i \(-0.0816091\pi\)
\(440\) 225.887 1571.08i 0.0244744 0.170223i
\(441\) 71.4549 156.464i 0.00771568 0.0168950i
\(442\) 195.001 57.2575i 0.0209847 0.00616168i
\(443\) −581.223 1272.70i −0.0623358 0.136496i 0.875900 0.482492i \(-0.160268\pi\)
−0.938236 + 0.345996i \(0.887541\pi\)
\(444\) 2120.69 + 2447.41i 0.226675 + 0.261597i
\(445\) 382.335 + 2659.19i 0.0407290 + 0.283276i
\(446\) −2445.46 718.051i −0.259632 0.0762348i
\(447\) 5248.00 6056.51i 0.555306 0.640857i
\(448\) −805.611 517.735i −0.0849588 0.0545997i
\(449\) 4375.45 + 2811.93i 0.459889 + 0.295553i 0.749997 0.661441i \(-0.230055\pi\)
−0.290108 + 0.956994i \(0.593691\pi\)
\(450\) −47.2852 + 54.5701i −0.00495344 + 0.00571657i
\(451\) −18797.1 5519.32i −1.96257 0.576263i
\(452\) 500.329 + 3479.86i 0.0520652 + 0.362122i
\(453\) 4590.91 + 5298.20i 0.476159 + 0.549517i
\(454\) 2775.26 + 6076.98i 0.286893 + 0.628209i
\(455\) 1941.95 570.209i 0.200088 0.0587512i
\(456\) 1570.75 3439.46i 0.161309 0.353218i
\(457\) 23.7746 165.356i 0.00243355 0.0169257i −0.988568 0.150772i \(-0.951824\pi\)
0.991002 + 0.133847i \(0.0427330\pi\)
\(458\) −4846.40 + 3114.59i −0.494449 + 0.317763i
\(459\) −540.126 −0.0549257
\(460\) −1868.52 + 1172.79i −0.189392 + 0.118873i
\(461\) 667.254 0.0674124 0.0337062 0.999432i \(-0.489269\pi\)
0.0337062 + 0.999432i \(0.489269\pi\)
\(462\) 5050.13 3245.52i 0.508557 0.326830i
\(463\) 1468.66 10214.8i 0.147418 1.02531i −0.773008 0.634396i \(-0.781249\pi\)
0.920426 0.390917i \(-0.127842\pi\)
\(464\) −1963.17 + 4298.75i −0.196418 + 0.430096i
\(465\) −5854.07 + 1718.91i −0.583819 + 0.171425i
\(466\) 44.4753 + 97.3873i 0.00442120 + 0.00968107i
\(467\) −10494.6 12111.5i −1.03990 1.20011i −0.979397 0.201943i \(-0.935274\pi\)
−0.0605052 0.998168i \(-0.519271\pi\)
\(468\) 22.2395 + 154.679i 0.00219663 + 0.0152779i
\(469\) 12846.8 + 3772.17i 1.26484 + 0.371392i
\(470\) −1352.43 + 1560.78i −0.132729 + 0.153178i
\(471\) −14246.9 9155.90i −1.39376 0.895715i
\(472\) −1934.05 1242.94i −0.188605 0.121209i
\(473\) −7424.46 + 8568.28i −0.721727 + 0.832917i
\(474\) 1679.82 + 493.239i 0.162778 + 0.0477959i
\(475\) 332.644 + 2313.59i 0.0321321 + 0.223483i
\(476\) 147.226 + 169.908i 0.0141767 + 0.0163607i
\(477\) −312.600 684.497i −0.0300062 0.0657044i
\(478\) 877.694 257.714i 0.0839849 0.0246602i
\(479\) 3582.73 7845.09i 0.341752 0.748332i −0.658238 0.752810i \(-0.728698\pi\)
0.999990 + 0.00447747i \(0.00142523\pi\)
\(480\) 115.111 800.612i 0.0109460 0.0761308i
\(481\) −3644.67 + 2342.29i −0.345494 + 0.222036i
\(482\) 5944.75 0.561776
\(483\) −7980.08 2436.12i −0.751773 0.229498i
\(484\) 974.294 0.0915001
\(485\) −6470.44 + 4158.30i −0.605789 + 0.389317i
\(486\) 115.209 801.298i 0.0107531 0.0747894i
\(487\) −7084.85 + 15513.7i −0.659230 + 1.44351i 0.224007 + 0.974587i \(0.428086\pi\)
−0.883238 + 0.468926i \(0.844641\pi\)
\(488\) −6155.02 + 1807.28i −0.570952 + 0.167647i
\(489\) −5149.77 11276.4i −0.476238 1.04282i
\(490\) −779.996 900.163i −0.0719115 0.0829903i
\(491\) 1965.81 + 13672.5i 0.180684 + 1.25668i 0.855151 + 0.518378i \(0.173464\pi\)
−0.674468 + 0.738304i \(0.735627\pi\)
\(492\) −9578.87 2812.61i −0.877742 0.257728i
\(493\) 726.545 838.477i 0.0663731 0.0765986i
\(494\) 4255.53 + 2734.87i 0.387582 + 0.249084i
\(495\) −241.038 154.905i −0.0218865 0.0140656i
\(496\) −2529.12 + 2918.76i −0.228953 + 0.264226i
\(497\) 2052.06 + 602.538i 0.185206 + 0.0543813i
\(498\) −237.401 1651.16i −0.0213618 0.148575i
\(499\) 11844.1 + 13668.8i 1.06255 + 1.22625i 0.973130 + 0.230255i \(0.0739561\pi\)
0.0894207 + 0.995994i \(0.471498\pi\)
\(500\) 207.708 + 454.816i 0.0185779 + 0.0406800i
\(501\) 6477.81 1902.06i 0.577659 0.169616i
\(502\) −220.762 + 483.401i −0.0196277 + 0.0429786i
\(503\) 379.553 2639.85i 0.0336450 0.234006i −0.966059 0.258320i \(-0.916831\pi\)
0.999704 + 0.0243142i \(0.00774020\pi\)
\(504\) −145.426 + 93.4596i −0.0128528 + 0.00825996i
\(505\) −4449.31 −0.392063
\(506\) −5661.56 6676.68i −0.497405 0.586591i
\(507\) −7406.79 −0.648811
\(508\) 8263.95 5310.92i 0.721759 0.463846i
\(509\) 201.412 1400.85i 0.0175391 0.121987i −0.979171 0.203038i \(-0.934918\pi\)
0.996710 + 0.0810507i \(0.0258276\pi\)
\(510\) −78.8832 + 172.730i −0.00684903 + 0.0149973i
\(511\) −14917.1 + 4380.05i −1.29137 + 0.379182i
\(512\) −212.692 465.732i −0.0183589 0.0402004i
\(513\) −8803.91 10160.3i −0.757704 0.874437i
\(514\) −563.146 3916.77i −0.0483255 0.336111i
\(515\) 3968.60 + 1165.29i 0.339567 + 0.0997060i
\(516\) −3783.46 + 4366.34i −0.322786 + 0.372514i
\(517\) −6894.02 4430.52i −0.586458 0.376894i
\(518\) −4031.80 2591.08i −0.341983 0.219779i
\(519\) −1480.39 + 1708.46i −0.125206 + 0.144495i
\(520\) 1038.27 + 304.863i 0.0875598 + 0.0257099i
\(521\) −577.847 4019.01i −0.0485910 0.337958i −0.999587 0.0287534i \(-0.990846\pi\)
0.950995 0.309205i \(-0.100063\pi\)
\(522\) 558.653 + 644.719i 0.0468421 + 0.0540586i
\(523\) 5636.14 + 12341.4i 0.471226 + 1.03184i 0.984784 + 0.173785i \(0.0555999\pi\)
−0.513558 + 0.858055i \(0.671673\pi\)
\(524\) 634.778 186.388i 0.0529206 0.0155389i
\(525\) −785.572 + 1720.16i −0.0653051 + 0.142998i
\(526\) 1205.85 8386.90i 0.0999577 0.695221i
\(527\) 762.754 490.192i 0.0630476 0.0405182i
\(528\) 3209.57 0.264543
\(529\) −1988.61 + 12003.4i −0.163443 + 0.986553i
\(530\) −5210.74 −0.427057
\(531\) −349.127 + 224.370i −0.0285326 + 0.0183368i
\(532\) −796.375 + 5538.91i −0.0649008 + 0.451395i
\(533\) 5548.27 12149.0i 0.450886 0.987303i
\(534\) −5212.43 + 1530.51i −0.422405 + 0.124029i
\(535\) 388.166 + 849.965i 0.0313680 + 0.0686863i
\(536\) 4687.86 + 5410.08i 0.377770 + 0.435970i
\(537\) 190.719 + 1326.48i 0.0153261 + 0.106595i
\(538\) −9972.02 2928.05i −0.799116 0.234642i
\(539\) 3095.09 3571.93i 0.247338 0.285443i
\(540\) −2419.33 1554.81i −0.192799 0.123904i
\(541\) −19766.6 12703.2i −1.57086 1.00953i −0.979092 0.203419i \(-0.934795\pi\)
−0.591766 0.806110i \(-0.701569\pi\)
\(542\) −7602.39 + 8773.62i −0.602492 + 0.695312i
\(543\) 7936.98 + 2330.51i 0.627272 + 0.184184i
\(544\) 17.1063 + 118.977i 0.00134821 + 0.00937703i
\(545\) −6451.51 7445.44i −0.507069 0.585189i
\(546\) 1700.14 + 3722.78i 0.133259 + 0.291796i
\(547\) −4697.38 + 1379.27i −0.367176 + 0.107813i −0.460115 0.887859i \(-0.652192\pi\)
0.0929393 + 0.995672i \(0.470374\pi\)
\(548\) 3239.17 7092.79i 0.252501 0.552900i
\(549\) −164.799 + 1146.20i −0.0128114 + 0.0891051i
\(550\) −1669.08 + 1072.66i −0.129400 + 0.0831603i
\(551\) 27615.0 2.13510
\(552\) −2885.09 3402.39i −0.222460 0.262347i
\(553\) −2590.98 −0.199240
\(554\) −10609.2 + 6818.14i −0.813616 + 0.522879i
\(555\) 576.088 4006.78i 0.0440605 0.306447i
\(556\) 1252.95 2743.58i 0.0955702 0.209270i
\(557\) 1481.46 434.996i 0.112696 0.0330904i −0.224898 0.974382i \(-0.572205\pi\)
0.337594 + 0.941292i \(0.390387\pi\)
\(558\) 289.614 + 634.166i 0.0219719 + 0.0481118i
\(559\) −5061.64 5841.45i −0.382978 0.441980i
\(560\) 170.357 + 1184.86i 0.0128551 + 0.0894094i
\(561\) −722.979 212.286i −0.0544103 0.0159763i
\(562\) 3178.66 3668.37i 0.238583 0.275340i
\(563\) 8921.85 + 5733.73i 0.667871 + 0.429215i 0.830157 0.557529i \(-0.188251\pi\)
−0.162286 + 0.986744i \(0.551887\pi\)
\(564\) −3513.15 2257.76i −0.262288 0.168562i
\(565\) 2877.82 3321.19i 0.214285 0.247298i
\(566\) −5495.78 1613.71i −0.408136 0.119839i
\(567\) −1464.90 10188.6i −0.108501 0.754641i
\(568\) 748.803 + 864.165i 0.0553153 + 0.0638373i
\(569\) −2390.48 5234.43i −0.176123 0.385657i 0.800897 0.598802i \(-0.204356\pi\)
−0.977020 + 0.213146i \(0.931629\pi\)
\(570\) −4534.99 + 1331.59i −0.333245 + 0.0978496i
\(571\) 4877.07 10679.3i 0.357441 0.782687i −0.642425 0.766348i \(-0.722072\pi\)
0.999867 0.0163386i \(-0.00520098\pi\)
\(572\) −611.083 + 4250.17i −0.0446690 + 0.310679i
\(573\) 9480.22 6092.57i 0.691173 0.444190i
\(574\) 14774.6 1.07436
\(575\) 2637.44 + 805.147i 0.191285 + 0.0583947i
\(576\) −92.4244 −0.00668579
\(577\) −14697.8 + 9445.68i −1.06044 + 0.681506i −0.949960 0.312372i \(-0.898876\pi\)
−0.110484 + 0.993878i \(0.535240\pi\)
\(578\) −1394.37 + 9698.05i −0.100343 + 0.697899i
\(579\) 3417.64 7483.59i 0.245306 0.537146i
\(580\) 5667.98 1664.27i 0.405776 0.119147i
\(581\) 1025.55 + 2245.64i 0.0732306 + 0.160353i
\(582\) −10185.0 11754.1i −0.725399 0.837155i
\(583\) −2942.60 20466.2i −0.209040 1.45390i
\(584\) −7975.44 2341.80i −0.565113 0.165932i
\(585\) 127.919 147.626i 0.00904066 0.0104335i
\(586\) −12077.0 7761.39i −0.851356 0.547133i
\(587\) 3183.54 + 2045.94i 0.223848 + 0.143858i 0.647759 0.761846i \(-0.275707\pi\)
−0.423911 + 0.905704i \(0.639343\pi\)
\(588\) 1577.24 1820.23i 0.110620 0.127662i
\(589\) 21653.7 + 6358.09i 1.51481 + 0.444789i
\(590\) 408.979 + 2844.51i 0.0285379 + 0.198486i
\(591\) 9398.25 + 10846.2i 0.654133 + 0.754909i
\(592\) −1064.45 2330.82i −0.0738997 0.161818i
\(593\) −24144.0 + 7089.33i −1.67197 + 0.490934i −0.974256 0.225445i \(-0.927617\pi\)
−0.697712 + 0.716379i \(0.745798\pi\)
\(594\) 4740.58 10380.4i 0.327455 0.717027i
\(595\) 39.9941 278.165i 0.00275563 0.0191658i
\(596\) −5334.41 + 3428.22i −0.366621 + 0.235613i
\(597\) 13468.1 0.923305
\(598\) 5054.82 3172.70i 0.345664 0.216959i
\(599\) 26141.3 1.78315 0.891573 0.452877i \(-0.149602\pi\)
0.891573 + 0.452877i \(0.149602\pi\)
\(600\) −850.555 + 546.618i −0.0578729 + 0.0371927i
\(601\) 1459.51 10151.1i 0.0990594 0.688973i −0.878412 0.477905i \(-0.841396\pi\)
0.977471 0.211069i \(-0.0676944\pi\)
\(602\) 3551.94 7777.65i 0.240475 0.526567i
\(603\) 1239.89 364.065i 0.0837352 0.0245869i
\(604\) −2304.34 5045.81i −0.155236 0.339919i
\(605\) −797.533 920.402i −0.0535939 0.0618507i
\(606\) −1280.41 8905.44i −0.0858301 0.596962i
\(607\) 14832.3 + 4355.16i 0.991803 + 0.291220i 0.737088 0.675797i \(-0.236200\pi\)
0.254715 + 0.967016i \(0.418018\pi\)
\(608\) −1959.24 + 2261.08i −0.130687 + 0.150821i
\(609\) 18795.2 + 12078.9i 1.25061 + 0.803717i
\(610\) 6745.67 + 4335.18i 0.447744 + 0.287748i
\(611\) 3658.66 4222.32i 0.242248 0.279569i
\(612\) 20.8193 + 6.11309i 0.00137511 + 0.000403769i
\(613\) 728.035 + 5063.59i 0.0479691 + 0.333632i 0.999648 + 0.0265370i \(0.00844798\pi\)
−0.951679 + 0.307095i \(0.900643\pi\)
\(614\) 1142.41 + 1318.41i 0.0750875 + 0.0866556i
\(615\) 5184.00 + 11351.4i 0.339901 + 0.744279i
\(616\) −4557.55 + 1338.22i −0.298099 + 0.0875298i
\(617\) −4287.09 + 9387.41i −0.279727 + 0.612517i −0.996389 0.0849036i \(-0.972942\pi\)
0.716662 + 0.697421i \(0.245669\pi\)
\(618\) −1190.28 + 8278.61i −0.0774761 + 0.538858i
\(619\) −19119.1 + 12287.1i −1.24146 + 0.797838i −0.985636 0.168886i \(-0.945983\pi\)
−0.255824 + 0.966723i \(0.582347\pi\)
\(620\) 4827.59 0.312711
\(621\) −15265.4 + 4305.61i −0.986440 + 0.278226i
\(622\) −3100.57 −0.199874
\(623\) 6763.46 4346.61i 0.434947 0.279524i
\(624\) −311.404 + 2165.86i −0.0199778 + 0.138948i
\(625\) 259.634 568.520i 0.0166166 0.0363853i
\(626\) −14214.9 + 4173.87i −0.907573 + 0.266488i
\(627\) −7791.08 17060.1i −0.496245 1.08663i
\(628\) 8775.17 + 10127.1i 0.557592 + 0.643495i
\(629\) 85.6112 + 595.439i 0.00542693 + 0.0377451i
\(630\) 207.332 + 60.8783i 0.0131116 + 0.00384992i
\(631\) 11970.4 13814.5i 0.755202 0.871550i −0.239859 0.970808i \(-0.577101\pi\)
0.995062 + 0.0992577i \(0.0316468\pi\)
\(632\) −1165.37 748.935i −0.0733477 0.0471377i
\(633\) 384.824 + 247.311i 0.0241633 + 0.0155288i
\(634\) −10486.9 + 12102.5i −0.656918 + 0.758124i
\(635\) −11781.8 3459.46i −0.736295 0.216196i
\(636\) −1499.53 10429.5i −0.0934909 0.650244i
\(637\) 2110.09 + 2435.17i 0.131248 + 0.151468i
\(638\) 9737.56 + 21322.3i 0.604253 + 1.32313i
\(639\) 198.051 58.1530i 0.0122610 0.00360015i
\(640\) −265.866 + 582.164i −0.0164207 + 0.0359564i
\(641\) 4519.80 31435.9i 0.278505 1.93704i −0.0649846 0.997886i \(-0.520700\pi\)
0.343489 0.939157i \(-0.388391\pi\)
\(642\) −1589.53 + 1021.53i −0.0977158 + 0.0627982i
\(643\) 5192.49 0.318463 0.159232 0.987241i \(-0.449098\pi\)
0.159232 + 0.987241i \(0.449098\pi\)
\(644\) 5515.42 + 3628.43i 0.337481 + 0.222019i
\(645\) 7221.87 0.440870
\(646\) 590.885 379.739i 0.0359877 0.0231279i
\(647\) −2127.28 + 14795.5i −0.129261 + 0.899031i 0.817232 + 0.576308i \(0.195507\pi\)
−0.946494 + 0.322723i \(0.895402\pi\)
\(648\) 2286.19 5006.05i 0.138596 0.303482i
\(649\) −10941.4 + 3212.69i −0.661769 + 0.194313i
\(650\) −561.902 1230.39i −0.0339071 0.0742461i
\(651\) 11956.8 + 13798.8i 0.719850 + 0.830751i
\(652\) 1395.95 + 9709.05i 0.0838492 + 0.583184i
\(653\) 14795.2 + 4344.27i 0.886649 + 0.260344i 0.693182 0.720763i \(-0.256208\pi\)
0.193468 + 0.981107i \(0.438027\pi\)
\(654\) 13045.7 15055.5i 0.780010 0.900180i
\(655\) −695.691 447.094i −0.0415006 0.0266708i
\(656\) 6645.29 + 4270.67i 0.395511 + 0.254179i
\(657\) −982.604 + 1133.99i −0.0583486 + 0.0673379i
\(658\) 5930.00 + 1741.21i 0.351331 + 0.103160i
\(659\) 2726.71 + 18964.7i 0.161180 + 1.12103i 0.896414 + 0.443218i \(0.146163\pi\)
−0.735234 + 0.677813i \(0.762928\pi\)
\(660\) −2627.28 3032.04i −0.154949 0.178821i
\(661\) −4407.31 9650.65i −0.259341 0.567877i 0.734511 0.678597i \(-0.237412\pi\)
−0.993852 + 0.110720i \(0.964684\pi\)
\(662\) −18534.0 + 5442.06i −1.08813 + 0.319504i
\(663\) 213.399 467.279i 0.0125004 0.0273720i
\(664\) −187.844 + 1306.48i −0.0109785 + 0.0763574i
\(665\) 5884.43 3781.69i 0.343140 0.220523i
\(666\) −462.551 −0.0269122
\(667\) 13850.2 29489.2i 0.804018 1.71189i
\(668\) −5341.97 −0.309411
\(669\) −5419.52 + 3482.91i −0.313200 + 0.201281i
\(670\) 1273.46 8857.12i 0.0734301 0.510717i
\(671\) −13217.9 + 28943.1i −0.760462 + 1.66518i
\(672\) −2322.50 + 681.948i −0.133322 + 0.0391469i
\(673\) −11737.7 25701.9i −0.672294 1.47212i −0.870606 0.491980i \(-0.836273\pi\)
0.198312 0.980139i \(-0.436454\pi\)
\(674\) 2465.14 + 2844.92i 0.140881 + 0.162585i
\(675\) 511.597 + 3558.24i 0.0291724 + 0.202899i
\(676\) 5623.24 + 1651.13i 0.319939 + 0.0939424i
\(677\) 8902.38 10273.9i 0.505386 0.583246i −0.444525 0.895766i \(-0.646628\pi\)
0.949911 + 0.312520i \(0.101173\pi\)
\(678\) 7475.63 + 4804.29i 0.423451 + 0.272135i
\(679\) 19363.4 + 12444.1i 1.09440 + 0.703331i
\(680\) 98.3934 113.552i 0.00554884 0.00640371i
\(681\) 16202.4 + 4757.45i 0.911714 + 0.267703i
\(682\) 2726.23 + 18961.3i 0.153068 + 1.06461i
\(683\) 15128.7 + 17459.4i 0.847559 + 0.978136i 0.999948 0.0101850i \(-0.00324205\pi\)
−0.152389 + 0.988321i \(0.548697\pi\)
\(684\) 224.356 + 491.271i 0.0125416 + 0.0274623i
\(685\) −9351.98 + 2745.99i −0.521636 + 0.153166i
\(686\) −5744.80 + 12579.4i −0.319734 + 0.700120i
\(687\) −2072.33 + 14413.3i −0.115086 + 0.800441i
\(688\) 3845.75 2471.51i 0.213107 0.136956i
\(689\) 14096.4 0.779433
\(690\) −852.530 + 5510.63i −0.0470366 + 0.304038i
\(691\) 17772.2 0.978417 0.489209 0.872167i \(-0.337286\pi\)
0.489209 + 0.872167i \(0.337286\pi\)
\(692\) 1504.76 967.053i 0.0826626 0.0531241i
\(693\) −122.027 + 848.718i −0.00668893 + 0.0465226i
\(694\) 6397.98 14009.6i 0.349948 0.766279i
\(695\) −3617.46 + 1062.18i −0.197436 + 0.0579725i
\(696\) 4962.20 + 10865.7i 0.270246 + 0.591757i
\(697\) −1214.43 1401.53i −0.0659970 0.0761646i
\(698\) −1715.10 11928.8i −0.0930052 0.646865i
\(699\) 259.653 + 76.2410i 0.0140500 + 0.00412547i
\(700\) 979.868 1130.83i 0.0529079 0.0610590i
\(701\) 28858.8 + 18546.4i 1.55490 + 0.999272i 0.983983 + 0.178262i \(0.0570474\pi\)
0.570914 + 0.821010i \(0.306589\pi\)
\(702\) 6544.90 + 4206.15i 0.351882 + 0.226141i
\(703\) −9805.30 + 11315.9i −0.526051 + 0.607096i
\(704\) −2436.71 715.482i −0.130450 0.0383036i
\(705\) 742.899 + 5166.98i 0.0396868 + 0.276028i
\(706\) −6790.68 7836.87i −0.361998 0.417768i
\(707\) 5531.26 + 12111.8i 0.294235 + 0.644285i
\(708\) −5575.68 + 1637.17i −0.295970 + 0.0869046i
\(709\) 6206.94 13591.3i 0.328782 0.719933i −0.670986 0.741470i \(-0.734129\pi\)
0.999768 + 0.0215375i \(0.00685612\pi\)
\(710\) 203.413 1414.77i 0.0107521 0.0747822i
\(711\) −210.368 + 135.195i −0.0110962 + 0.00713110i
\(712\) 4298.46 0.226252
\(713\) 17649.9 19934.4i 0.927060 1.04706i
\(714\) 568.265 0.0297854
\(715\) 4515.30 2901.81i 0.236172 0.151778i
\(716\) 150.906 1049.58i 0.00787659 0.0547829i
\(717\) 960.504 2103.21i 0.0500288 0.109548i
\(718\) −20319.8 + 5966.43i −1.05617 + 0.310119i
\(719\) −9734.56 21315.7i −0.504921 1.10562i −0.974839 0.222912i \(-0.928444\pi\)
0.469918 0.882710i \(-0.344283\pi\)
\(720\) 75.6564 + 87.3121i 0.00391604 + 0.00451935i
\(721\) −1761.55 12251.8i −0.0909895 0.632846i
\(722\) 3612.17 + 1060.63i 0.186193 + 0.0546711i
\(723\) 9840.07 11356.0i 0.506163 0.584144i
\(724\) −5506.24 3538.65i −0.282649 0.181647i
\(725\) −6211.88 3992.13i −0.318212 0.204502i
\(726\) 1612.70 1861.16i 0.0824421 0.0951433i
\(727\) −28268.4 8300.34i −1.44211 0.423442i −0.535187 0.844734i \(-0.679759\pi\)
−0.906925 + 0.421292i \(0.861577\pi\)
\(728\) −460.858 3205.34i −0.0234623 0.163184i
\(729\) −13503.3 15583.7i −0.686040 0.791732i
\(730\) 4316.24 + 9451.24i 0.218837 + 0.479186i
\(731\) −1029.75 + 302.363i −0.0521023 + 0.0152986i
\(732\) −6735.74 + 14749.2i −0.340110 + 0.744736i
\(733\) 1233.56 8579.59i 0.0621590 0.432325i −0.934850 0.355042i \(-0.884466\pi\)
0.997009 0.0772830i \(-0.0246245\pi\)
\(734\) 9403.27 6043.11i 0.472862 0.303890i
\(735\) −3010.64 −0.151087
\(736\) 1431.90 + 3226.25i 0.0717125 + 0.161578i
\(737\) 35507.3 1.77466
\(738\) 1199.58 770.926i 0.0598337 0.0384528i
\(739\) 760.272 5287.80i 0.0378444 0.263214i −0.962111 0.272658i \(-0.912097\pi\)
0.999955 + 0.00944435i \(0.00300627\pi\)
\(740\) −1330.56 + 2913.53i −0.0660979 + 0.144734i
\(741\) 12268.3 3602.30i 0.608215 0.178588i
\(742\) 6477.84 + 14184.5i 0.320497 + 0.701791i
\(743\) −6705.57 7738.64i −0.331095 0.382104i 0.565655 0.824642i \(-0.308624\pi\)
−0.896750 + 0.442538i \(0.854078\pi\)
\(744\) 1389.27 + 9662.58i 0.0684584 + 0.476139i
\(745\) 7605.21 + 2233.09i 0.374004 + 0.109818i
\(746\) 15128.7 17459.5i 0.742497 0.856887i
\(747\) 200.442 + 128.817i 0.00981768 + 0.00630944i
\(748\) 501.563 + 322.335i 0.0245173 + 0.0157563i
\(749\) 1831.19 2113.30i 0.0893326 0.103095i
\(750\) 1212.63 + 356.059i 0.0590385 + 0.0173353i
\(751\) 4836.75 + 33640.3i 0.235014 + 1.63456i 0.675900 + 0.736994i \(0.263755\pi\)
−0.440886 + 0.897563i \(0.645336\pi\)
\(752\) 2163.88 + 2497.25i 0.104932 + 0.121098i
\(753\) 558.007 + 1221.87i 0.0270052 + 0.0591331i
\(754\) −15333.3 + 4502.27i −0.740593 + 0.217458i
\(755\) −2880.43 + 6307.26i −0.138847 + 0.304033i
\(756\) −1224.80 + 8518.70i −0.0589229 + 0.409818i
\(757\) −11677.5 + 7504.67i −0.560668 + 0.360319i −0.790074 0.613011i \(-0.789958\pi\)
0.229406 + 0.973331i \(0.426322\pi\)
\(758\) 6662.67 0.319260
\(759\) −22125.5 236.533i −1.05811 0.0113117i
\(760\) 3739.80 0.178496
\(761\) 17221.6 11067.7i 0.820346 0.527204i −0.0618506 0.998085i \(-0.519700\pi\)
0.882197 + 0.470881i \(0.156064\pi\)
\(762\) 3533.67 24577.2i 0.167994 1.16842i
\(763\) −12247.4 + 26818.0i −0.581108 + 1.27245i
\(764\) −8555.55 + 2512.14i −0.405143 + 0.118961i
\(765\) −11.2672 24.6717i −0.000532505 0.00116602i
\(766\) 6677.61 + 7706.38i 0.314977 + 0.363502i
\(767\) −1106.39 7695.12i −0.0520854 0.362262i
\(768\) −1241.73 364.605i −0.0583425 0.0171309i
\(769\) −2187.98 + 2525.07i −0.102602 + 0.118409i −0.804728 0.593644i \(-0.797689\pi\)
0.702126 + 0.712053i \(0.252234\pi\)
\(770\) 4994.90 + 3210.03i 0.233771 + 0.150236i
\(771\) −8414.21 5407.48i −0.393035 0.252589i