Properties

Label 230.4.g.b.71.2
Level $230$
Weight $4$
Character 230.71
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 71.2
Character \(\chi\) \(=\) 230.71
Dual form 230.4.g.b.81.2

$q$-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 \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).

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

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 −0.934047 0.357151i \(-0.883748\pi\)
0.795590 0.605835i \(-0.207161\pi\)
\(4\) 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 −0.426802 0.904345i \(-0.640360\pi\)
0.955881 + 0.293756i \(0.0949052\pi\)
\(8\) 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 0.00379453 0.999993i \(-0.498792\pi\)
0.911202 + 0.411960i \(0.135156\pi\)
\(12\) 17.0111 10.9324i 0.409223 0.262992i
\(13\) −17.7157 20.4450i −0.377957 0.436185i 0.534619 0.845093i \(-0.320455\pi\)
−0.912576 + 0.408908i \(0.865910\pi\)
\(14\) −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 −0.898174 0.439639i \(-0.855106\pi\)
0.920436 + 0.390892i \(0.127834\pi\)
\(18\) −2.77127 0.813717i −0.0362885 0.0106553i
\(19\) −38.8393 85.0461i −0.468965 1.02689i −0.985352 0.170535i \(-0.945450\pi\)
0.516386 0.856356i \(-0.327277\pi\)
\(20\) −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 −0.0970304 + 0.995281i \(0.530934\pi\)
−0.688642 + 0.725101i \(0.741793\pi\)
\(30\) 33.1051 38.2053i 0.201471 0.232510i
\(31\) −34.3519 + 238.923i −0.199025 + 1.38425i 0.608095 + 0.793864i \(0.291934\pi\)
−0.807120 + 0.590387i \(0.798975\pi\)
\(32\) 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 0.0780777 0.996947i \(-0.475122\pi\)
0.604673 + 0.796473i \(0.293304\pi\)
\(38\) −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 −0.806306 0.591499i \(-0.798536\pi\)
−0.998096 + 0.0616791i \(0.980354\pi\)
\(42\) 62.8458 + 137.613i 0.230888 + 0.505575i
\(43\) −40.6616 282.808i −0.144205 1.00297i −0.925483 0.378788i \(-0.876341\pi\)
0.781278 0.624183i \(-0.214568\pi\)
\(44\) 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 0.115256 + 0.993336i \(0.463231\pi\)
−0.999628 + 0.0272833i \(0.991314\pi\)
\(54\) −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 0.509126 0.860692i \(-0.329969\pi\)
−0.924387 + 0.381455i \(0.875423\pi\)
\(60\) −97.0101 + 28.4847i −0.208733 + 0.0612894i
\(61\) 114.116 793.697i 0.239526 1.66594i −0.414938 0.909850i \(-0.636197\pi\)
0.654464 0.756093i \(-0.272894\pi\)
\(62\) 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 0.998967 0.0454384i \(-0.0144685\pi\)
0.373654 + 0.927568i \(0.378105\pi\)
\(68\) 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 0.637263 0.770646i \(-0.280066\pi\)
−0.436276 + 0.899813i \(0.643703\pi\)
\(72\) −1.64417 11.4355i −0.00269121 0.0187178i
\(73\) −431.624 945.124i −0.692024 1.51532i −0.849382 0.527779i \(-0.823025\pi\)
0.157358 0.987542i \(-0.449702\pi\)
\(74\) −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 0.669236 0.743050i \(-0.266622\pi\)
−0.830729 + 0.556677i \(0.812076\pi\)
\(80\) 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 −0.175374 0.984502i \(-0.556113\pi\)
0.384728 + 0.923030i \(0.374295\pi\)
\(84\) 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 0.983321 + 0.181879i \(0.0582181\pi\)
−0.892248 + 0.451546i \(0.850873\pi\)
\(90\) 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 0.939594 0.342291i \(-0.111203\pi\)
0.605380 + 0.795936i \(0.293021\pi\)
\(98\) 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 0.167360 0.985896i \(-0.446476\pi\)
0.673808 + 0.738907i \(0.264658\pi\)
\(102\) 24.8703 + 28.7019i 0.0241424 + 0.0278618i
\(103\) −695.908 + 447.233i −0.665727 + 0.427837i −0.829383 0.558681i \(-0.811308\pi\)
0.163656 + 0.986518i \(0.447671\pi\)
\(104\) −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 −0.998302 0.0582433i \(-0.981450\pi\)
0.974273 + 0.225370i \(0.0723592\pi\)
\(108\) 376.658 434.686i 0.335592 0.387294i
\(109\) 818.512 1792.29i 0.719259 1.57496i −0.0956815 0.995412i \(-0.530503\pi\)
0.814940 0.579545i \(-0.196770\pi\)
\(110\) 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 0.195392 0.980725i \(-0.437402\pi\)
−0.810930 + 0.585143i \(0.801038\pi\)
\(114\) 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 0.444019 0.896017i \(-0.353552\pi\)
0.999498 0.0316754i \(-0.0100843\pi\)
\(128\) 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 −0.718481 0.695547i \(-0.755162\pi\)
0.790718 + 0.612181i \(0.209708\pi\)
\(132\) 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 −0.853220 0.521551i \(-0.825354\pi\)
0.119979 + 0.992776i \(0.461717\pi\)
\(150\) −212.639 + 136.655i −0.115746 + 0.0743853i
\(151\) 908.142 + 1048.05i 0.489428 + 0.564830i 0.945713 0.325004i \(-0.105366\pi\)
−0.456285 + 0.889834i \(0.650820\pi\)
\(152\) −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 −0.830732 0.556673i \(-0.812078\pi\)
0.123308 0.992368i \(-0.460650\pi\)
\(158\) 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 −0.0588120 0.998269i \(-0.518731\pi\)
−0.932489 + 0.361199i \(0.882368\pi\)
\(164\) −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 −0.993529 0.113579i \(-0.963768\pi\)
0.736461 + 0.676480i \(0.236496\pi\)
\(168\) −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 −0.455362 0.890306i \(-0.650490\pi\)
0.620687 + 0.784058i \(0.286854\pi\)
\(174\) −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 0.334405 0.942429i \(-0.391465\pi\)
−0.228196 + 0.973615i \(0.573283\pi\)
\(180\) −11.9983 26.2726i −0.00496832 0.0108791i
\(181\) 232.873 + 1619.67i 0.0956315 + 0.665131i 0.980096 + 0.198524i \(0.0636148\pi\)
−0.884465 + 0.466607i \(0.845476\pi\)
\(182\) 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 −0.961585 0.274506i \(-0.911486\pi\)
0.408560 + 0.912732i \(0.366031\pi\)
\(192\) −46.0443 + 320.245i −0.0173071 + 0.120373i
\(193\) −1561.50 + 458.496i −0.582378 + 0.171002i −0.559634 0.828740i \(-0.689058\pi\)
−0.0227436 + 0.999741i \(0.507240\pi\)
\(194\) −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 0.984744 0.174011i \(-0.0556727\pi\)
−0.312383 + 0.949956i \(0.601127\pi\)
\(198\) −109.966 + 32.2890i −0.0394695 + 0.0115893i
\(199\) −379.151 + 2637.05i −0.135062 + 0.939375i 0.803756 + 0.594959i \(0.202832\pi\)
−0.938817 + 0.344415i \(0.888077\pi\)
\(200\) 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 0.915665 0.401942i \(-0.131665\pi\)
−0.903401 + 0.428797i \(0.858937\pi\)
\(212\) −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 −0.616487 0.787365i \(-0.711445\pi\)
0.867086 + 0.498158i \(0.165990\pi\)
\(224\) 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 0.933269 + 0.359179i \(0.116943\pi\)
−0.794272 + 0.607562i \(0.792148\pi\)
\(228\) −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 0.990864 0.134862i \(-0.0430590\pi\)
−0.988722 + 0.149760i \(0.952150\pi\)
\(234\) 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 −0.340579 0.940216i \(-0.610623\pi\)
0.221806 + 0.975091i \(0.428805\pi\)
\(240\) −264.840 305.642i −0.0712307 0.0822046i
\(241\) −2500.52 + 1606.99i −0.668352 + 0.429524i −0.830331 0.557270i \(-0.811849\pi\)
0.161979 + 0.986794i \(0.448212\pi\)
\(242\) −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 0.568445 0.822721i \(-0.307545\pi\)
−0.512233 + 0.858847i \(0.671182\pi\)
\(252\) 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 0.783276 0.621675i \(-0.213547\pi\)
−0.982767 + 0.184850i \(0.940820\pi\)
\(258\) 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 0.330716 0.943730i \(-0.392710\pi\)
−0.981190 + 0.193043i \(0.938164\pi\)
\(264\) −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 −0.225135 0.974328i \(-0.572282\pi\)
0.996450 + 0.0841822i \(0.0268278\pi\)
\(270\) 597.338 1307.99i 0.134640 0.294821i
\(271\) 5569.46 + 1635.34i 1.24841 + 0.366568i 0.838171 0.545408i \(-0.183625\pi\)
0.410244 + 0.911976i \(0.365444\pi\)
\(272\) 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 0.0250407 0.999686i \(-0.492028\pi\)
−0.519406 + 0.854528i \(0.673847\pi\)
\(282\) 867.405 1899.35i 0.183167 0.401081i
\(283\) 1875.45 2164.39i 0.393937 0.454627i −0.523785 0.851850i \(-0.675481\pi\)
0.917722 + 0.397223i \(0.130026\pi\)
\(284\) −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 −0.338118 0.941104i \(-0.609790\pi\)
0.932659 0.360759i \(-0.117482\pi\)
\(294\) −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 −0.998101 0.0615934i \(-0.980382\pi\)
0.975024 + 0.222099i \(0.0712909\pi\)
\(308\) 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 −0.416318 0.909219i \(-0.636680\pi\)
0.654110 + 0.756399i \(0.273043\pi\)
\(312\) 716.461 + 826.840i 0.130005 + 0.150034i
\(313\) 7107.44 2086.93i 1.28350 0.376870i 0.432310 0.901725i \(-0.357698\pi\)
0.851192 + 0.524855i \(0.175880\pi\)
\(314\) −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 0.879183 0.476485i \(-0.158089\pi\)
0.482009 + 0.876167i \(0.339907\pi\)
\(318\) −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 0.601104 0.799171i \(-0.294728\pi\)
0.937745 + 0.347324i \(0.112910\pi\)
\(332\) 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 0.956653 + 0.291231i \(0.0940647\pi\)
−0.999951 + 0.00991359i \(0.996844\pi\)
\(338\) −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 −0.0668522 0.997763i \(-0.521296\pi\)
−0.935368 + 0.353675i \(0.884932\pi\)
\(348\) 849.986 + 5911.78i 0.130931 + 0.910646i
\(349\) −2503.18 5481.20i −0.383932 0.840693i −0.998650 0.0519464i \(-0.983457\pi\)
0.614718 0.788747i \(-0.289270\pi\)
\(350\) −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 −0.855445 0.517893i \(-0.826717\pi\)
0.966701 0.255908i \(-0.0823744\pi\)
\(354\) 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 0.569943 0.821684i \(-0.306965\pi\)
0.923703 + 0.383110i \(0.125147\pi\)
\(360\) −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 −0.600873 0.799344i \(-0.705180\pi\)
−0.937645 + 0.347595i \(0.886998\pi\)
\(374\) −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 −0.716598 0.697486i \(-0.754302\pi\)
0.336770 + 0.941587i \(0.390665\pi\)
\(380\) −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 0.882413 + 0.470475i \(0.155917\pi\)
−0.979217 + 0.202813i \(0.934992\pi\)
\(384\) 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 0.546031 0.837765i \(-0.316138\pi\)
−0.535229 + 0.844707i \(0.679775\pi\)
\(390\) −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 −0.625889 0.779912i \(-0.715264\pi\)
0.999288 0.0377189i \(-0.0120092\pi\)
\(398\) 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 0.512047 0.858957i \(-0.328887\pi\)
−0.923086 + 0.384593i \(0.874342\pi\)
\(402\) −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 −0.0868996 0.996217i \(-0.527696\pi\)
−0.611700 + 0.791090i \(0.709514\pi\)
\(410\) −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 0.494701 0.869063i \(-0.335278\pi\)
−0.0536823 + 0.998558i \(0.517096\pi\)
\(420\) −628.458 + 1376.13i −0.0730133 + 0.159877i
\(421\) 2610.02 3012.12i 0.302148 0.348698i −0.584290 0.811545i \(-0.698627\pi\)
0.886438 + 0.462847i \(0.153172\pi\)
\(422\) 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 −0.895001 0.446064i \(-0.852825\pi\)
0.923214 + 0.384287i \(0.125553\pi\)
\(432\) 2207.50 + 648.179i 0.245852 + 0.0721887i
\(433\) −1279.62 2801.99i −0.142020 0.310981i 0.825234 0.564791i \(-0.191043\pi\)
−0.967254 + 0.253810i \(0.918316\pi\)
\(434\) −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 0.967314 + 0.253583i \(0.0816091\pi\)
0.632504 + 0.774557i \(0.282027\pi\)
\(440\) 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 −0.938236 0.345996i \(-0.887541\pi\)
0.875900 + 0.482492i \(0.160268\pi\)
\(444\) 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 −0.290108 0.956994i \(-0.593691\pi\)
0.749997 + 0.661441i \(0.230055\pi\)
\(450\) −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 0.991002 0.133847i \(-0.0427330\pi\)
−0.988568 + 0.150772i \(0.951824\pi\)
\(458\) −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 0.920426 + 0.390917i \(0.127842\pi\)
−0.773008 + 0.634396i \(0.781249\pi\)
\(464\) −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 −0.0605052 + 0.998168i \(0.519271\pi\)
−0.979397 + 0.201943i \(0.935274\pi\)
\(468\) 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 0.999990 0.00447747i \(-0.00142523\pi\)
−0.658238 + 0.752810i \(0.728698\pi\)
\(480\) 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 −0.883238 0.468926i \(-0.844641\pi\)
0.224007 0.974587i \(-0.428086\pi\)
\(488\) −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 −0.674468 0.738304i \(-0.735627\pi\)
0.855151 0.518378i \(-0.173464\pi\)
\(492\) −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 0.0894207 0.995994i \(-0.471498\pi\)
0.973130 0.230255i \(-0.0739561\pi\)
\(500\) 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 0.999704 0.0243142i \(-0.00774020\pi\)
−0.966059 + 0.258320i \(0.916831\pi\)
\(504\) −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 0.996710 0.0810507i \(-0.0258276\pi\)
−0.979171 + 0.203038i \(0.934918\pi\)
\(510\) −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 0.950995 + 0.309205i \(0.100063\pi\)
−0.999587 + 0.0287534i \(0.990846\pi\)
\(522\) 558.653 644.719i 0.0468421 0.0540586i
\(523\) 5636.14 12341.4i 0.471226 1.03184i −0.513558 0.858055i \(-0.671673\pi\)
0.984784 0.173785i \(-0.0555999\pi\)
\(524\) 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 −0.591766 + 0.806110i \(0.701569\pi\)
−0.979092 + 0.203419i \(0.934795\pi\)
\(542\) −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 0.0929393 0.995672i \(-0.470374\pi\)
−0.460115 + 0.887859i \(0.652192\pi\)
\(548\) 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 0.337594 0.941292i \(-0.390387\pi\)
−0.224898 + 0.974382i \(0.572205\pi\)
\(558\) 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 −0.162286 0.986744i \(-0.551887\pi\)
0.830157 + 0.557529i \(0.188251\pi\)
\(564\) −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 −0.977020 0.213146i \(-0.931629\pi\)
0.800897 + 0.598802i \(0.204356\pi\)
\(570\) −4534.99 1331.59i −0.333245 0.0978496i
\(571\) 4877.07 + 10679.3i 0.357441 + 0.782687i 0.999867 + 0.0163386i \(0.00520098\pi\)
−0.642425 + 0.766348i \(0.722072\pi\)
\(572\) −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 −0.110484 0.993878i \(-0.535240\pi\)
−0.949960 + 0.312372i \(0.898876\pi\)
\(578\) −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 −0.423911 0.905704i \(-0.639343\pi\)
0.647759 + 0.761846i \(0.275707\pi\)
\(588\) 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 −0.697712 0.716379i \(-0.745798\pi\)
−0.974256 + 0.225445i \(0.927617\pi\)
\(594\) 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 0.977471 + 0.211069i \(0.0676944\pi\)
−0.878412 + 0.477905i \(0.841396\pi\)
\(602\) 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 0.254715 0.967016i \(-0.418018\pi\)
0.737088 + 0.675797i \(0.236200\pi\)
\(608\) −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 −0.951679 0.307095i \(-0.900643\pi\)
0.999648 0.0265370i \(-0.00844798\pi\)
\(614\) 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 0.716662 0.697421i \(-0.245669\pi\)
−0.996389 + 0.0849036i \(0.972942\pi\)
\(618\) −1190.28 8278.61i −0.0774761 0.538858i
\(619\) −19119.1 12287.1i −1.24146 0.797838i −0.255824 0.966723i \(-0.582347\pi\)
−0.985636 + 0.168886i \(0.945983\pi\)
\(620\) 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 0.995062 0.0992577i \(-0.0316468\pi\)
−0.239859 + 0.970808i \(0.577101\pi\)
\(632\) −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 0.343489 + 0.939157i \(0.388391\pi\)
−0.0649846 + 0.997886i \(0.520700\pi\)
\(642\) −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 −0.946494 0.322723i \(-0.895402\pi\)
0.817232 0.576308i \(-0.195507\pi\)
\(648\) 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 0.193468 0.981107i \(-0.438027\pi\)
0.693182 + 0.720763i \(0.256208\pi\)
\(654\) 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 −0.735234 0.677813i \(-0.762928\pi\)
0.896414 0.443218i \(-0.146163\pi\)
\(660\) −2627.28 + 3032.04i −0.154949 + 0.178821i
\(661\) −4407.31 + 9650.65i −0.259341 + 0.567877i −0.993852 0.110720i \(-0.964684\pi\)
0.734511 + 0.678597i \(0.237412\pi\)
\(662\) −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 0.198312 + 0.980139i \(0.436454\pi\)
−0.870606 + 0.491980i \(0.836273\pi\)
\(674\) 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 0.949911 0.312520i \(-0.101173\pi\)
−0.444525 + 0.895766i \(0.646628\pi\)
\(678\) 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 −0.152389 0.988321i \(-0.548697\pi\)
0.999948 + 0.0101850i \(0.00324205\pi\)
\(684\) 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 0.570914 0.821010i \(-0.306589\pi\)
0.983983 0.178262i \(-0.0570474\pi\)
\(702\) 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 0.999768 0.0215375i \(-0.00685612\pi\)
−0.670986 + 0.741470i \(0.734129\pi\)
\(710\) 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 0.469918 + 0.882710i \(0.344283\pi\)
−0.974839 + 0.222912i \(0.928444\pi\)
\(720\) 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 −0.906925 0.421292i \(-0.861577\pi\)
−0.535187 + 0.844734i \(0.679759\pi\)
\(728\) −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 0.997009 + 0.0772830i \(0.0246245\pi\)
−0.934850 + 0.355042i \(0.884466\pi\)
\(734\) 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 0.999955 0.00944435i \(-0.00300627\pi\)
−0.962111 + 0.272658i \(0.912097\pi\)
\(740\) −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 −0.896750 0.442538i \(-0.854078\pi\)
0.565655 + 0.824642i \(0.308624\pi\)
\(744\) 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 −0.440886 0.897563i \(-0.645336\pi\)
0.675900 0.736994i \(-0.263755\pi\)
\(752\) 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 0.229406 0.973331i \(-0.426322\pi\)
−0.790074 + 0.613011i \(0.789958\pi\)
\(758\) 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 0.882197 0.470881i \(-0.156064\pi\)
−0.0618506 + 0.998085i \(0.519700\pi\)
\(762\) 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 0.702126 0.712053i \(-0.252234\pi\)
−0.804728 + 0.593644i \(0.797689\pi\)
\(770\) 4994.90 3210.03i 0.233771 0.150236i
\(771\) −8414.21 + 5407.48i −0.393035 +