Properties

Label 177.3.g.a.10.1
Level $177$
Weight $3$
Character 177.10
Analytic conductor $4.823$
Analytic rank $0$
Dimension $560$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 177.g (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.82290067918\)
Analytic rank: \(0\)
Dimension: \(560\)
Relative dimension: \(20\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 10.1
Character \(\chi\) \(=\) 177.10
Dual form 177.3.g.a.124.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.55013 - 1.41450i) q^{2} +(1.72190 + 0.187268i) q^{3} +(7.69866 + 7.29256i) q^{4} +(2.93856 - 3.45954i) q^{5} +(-5.84808 - 3.10045i) q^{6} +(-1.56353 - 0.940746i) q^{7} +(-10.5974 - 22.9059i) q^{8} +(2.92986 + 0.644911i) q^{9} +O(q^{10})\) \(q+(-3.55013 - 1.41450i) q^{2} +(1.72190 + 0.187268i) q^{3} +(7.69866 + 7.29256i) q^{4} +(2.93856 - 3.45954i) q^{5} +(-5.84808 - 3.10045i) q^{6} +(-1.56353 - 0.940746i) q^{7} +(-10.5974 - 22.9059i) q^{8} +(2.92986 + 0.644911i) q^{9} +(-15.3258 + 8.12523i) q^{10} +(10.9074 + 0.591384i) q^{11} +(11.8906 + 13.9987i) q^{12} +(4.46929 + 20.3042i) q^{13} +(4.22006 + 5.55139i) q^{14} +(5.70776 - 5.40668i) q^{15} +(2.92532 + 53.9543i) q^{16} +(0.955471 - 0.574888i) q^{17} +(-9.48918 - 6.43382i) q^{18} +(9.43301 - 33.9746i) q^{19} +(47.8519 - 5.20420i) q^{20} +(-2.51607 - 1.91267i) q^{21} +(-37.8864 - 17.5281i) q^{22} +(-7.43857 + 5.04347i) q^{23} +(-13.9581 - 41.4262i) q^{24} +(0.711266 + 4.33853i) q^{25} +(12.8538 - 78.4045i) q^{26} +(4.92415 + 1.65914i) q^{27} +(-5.17665 - 18.6446i) q^{28} +(-9.55023 - 23.9693i) q^{29} +(-27.9111 + 11.1208i) q^{30} +(40.1078 - 11.1359i) q^{31} +(33.6984 - 100.013i) q^{32} +(18.6707 + 3.06091i) q^{33} +(-4.20523 + 0.689413i) q^{34} +(-7.84908 + 2.64466i) q^{35} +(17.8529 + 26.3311i) q^{36} +(4.90077 - 10.5928i) q^{37} +(-81.5457 + 107.272i) q^{38} +(3.89335 + 35.7987i) q^{39} +(-110.385 - 30.6483i) q^{40} +(39.0248 - 57.5573i) q^{41} +(6.22691 + 10.3492i) q^{42} +(38.3648 - 2.08008i) q^{43} +(79.6599 + 84.0960i) q^{44} +(10.8407 - 8.24086i) q^{45} +(33.5419 - 7.38314i) q^{46} +(-29.0723 + 24.6942i) q^{47} +(-5.06680 + 93.4516i) q^{48} +(-21.3924 - 40.3503i) q^{49} +(3.61177 - 16.4085i) q^{50} +(1.75288 - 0.810969i) q^{51} +(-113.662 + 188.908i) q^{52} +(-10.8157 + 20.4006i) q^{53} +(-15.1345 - 12.8554i) q^{54} +(34.0981 - 35.9969i) q^{55} +(-4.97927 + 45.7836i) q^{56} +(22.6050 - 56.7343i) q^{57} +98.6029i q^{58} +(-42.5400 + 40.8821i) q^{59} +83.3706 q^{60} +(24.4696 + 9.74958i) q^{61} +(-158.140 - 17.1987i) q^{62} +(-3.97423 - 3.76459i) q^{63} +(-121.181 + 142.665i) q^{64} +(83.3765 + 44.2034i) q^{65} +(-61.9540 - 37.2765i) q^{66} +(30.2240 + 65.3280i) q^{67} +(11.5482 + 2.54196i) q^{68} +(-13.7529 + 7.29134i) q^{69} +(31.6062 + 1.71364i) q^{70} +(48.4549 + 57.0455i) q^{71} +(-16.2767 - 73.9456i) q^{72} +(-62.7409 - 82.5342i) q^{73} +(-32.3820 + 30.6738i) q^{74} +(0.412261 + 7.60370i) q^{75} +(320.383 - 192.768i) q^{76} +(-16.4978 - 11.1858i) q^{77} +(36.8155 - 132.597i) q^{78} +(-53.6622 + 5.83612i) q^{79} +(195.253 + 148.428i) q^{80} +(8.16818 + 3.77900i) q^{81} +(-219.959 + 149.136i) q^{82} +(-7.56720 - 22.4586i) q^{83} +(-5.42213 - 33.0735i) q^{84} +(0.818861 - 4.99483i) q^{85} +(-139.142 - 46.8825i) q^{86} +(-11.9558 - 43.0611i) q^{87} +(-102.044 - 256.112i) q^{88} +(-123.255 + 49.1094i) q^{89} +(-50.1426 + 13.9220i) q^{90} +(12.1132 - 35.9507i) q^{91} +(-94.0468 - 15.4182i) q^{92} +(71.1469 - 11.6639i) q^{93} +(138.141 - 46.5450i) q^{94} +(-89.8171 - 132.470i) q^{95} +(76.7544 - 165.902i) q^{96} +(-8.54672 + 11.2430i) q^{97} +(18.8702 + 173.509i) q^{98} +(31.5759 + 8.76700i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 560q + 40q^{4} + 8q^{7} - 60q^{9} + O(q^{10}) \) \( 560q + 40q^{4} + 8q^{7} - 60q^{9} + 24q^{12} - 24q^{15} + 8q^{16} - 16q^{17} + 60q^{19} + 164q^{20} - 40q^{22} - 100q^{25} + 156q^{26} - 200q^{28} + 60q^{29} + 32q^{35} + 120q^{36} - 28q^{41} - 1572q^{46} - 638q^{47} + 96q^{48} - 1328q^{49} - 1856q^{50} + 24q^{51} - 1392q^{52} - 572q^{53} - 522q^{55} - 928q^{56} - 24q^{57} + 268q^{59} + 72q^{60} + 348q^{61} + 472q^{62} + 24q^{63} + 2580q^{64} + 1218q^{65} + 120q^{66} + 1044q^{67} + 1936q^{68} + 2784q^{70} + 1416q^{71} + 870q^{73} + 1752q^{74} - 240q^{75} - 120q^{76} + 468q^{78} + 420q^{79} - 376q^{80} - 180q^{81} - 168q^{84} + 348q^{85} - 232q^{86} - 144q^{87} + 212q^{88} - 152q^{94} - 788q^{95} - 3306q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{7}{58}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.55013 1.41450i −1.77507 0.707252i −0.996855 0.0792508i \(-0.974747\pi\)
−0.778213 0.628001i \(-0.783873\pi\)
\(3\) 1.72190 + 0.187268i 0.573966 + 0.0624225i
\(4\) 7.69866 + 7.29256i 1.92466 + 1.82314i
\(5\) 2.93856 3.45954i 0.587712 0.691908i −0.385266 0.922806i \(-0.625890\pi\)
0.972978 + 0.230897i \(0.0741662\pi\)
\(6\) −5.84808 3.10045i −0.974680 0.516742i
\(7\) −1.56353 0.940746i −0.223362 0.134392i 0.399475 0.916744i \(-0.369192\pi\)
−0.622837 + 0.782352i \(0.714020\pi\)
\(8\) −10.5974 22.9059i −1.32468 2.86324i
\(9\) 2.92986 + 0.644911i 0.325540 + 0.0716568i
\(10\) −15.3258 + 8.12523i −1.53258 + 0.812523i
\(11\) 10.9074 + 0.591384i 0.991585 + 0.0537622i 0.542787 0.839871i \(-0.317369\pi\)
0.448799 + 0.893633i \(0.351852\pi\)
\(12\) 11.8906 + 13.9987i 0.990887 + 1.16656i
\(13\) 4.46929 + 20.3042i 0.343792 + 1.56186i 0.758355 + 0.651842i \(0.226003\pi\)
−0.414563 + 0.910021i \(0.636066\pi\)
\(14\) 4.22006 + 5.55139i 0.301433 + 0.396528i
\(15\) 5.70776 5.40668i 0.380517 0.360445i
\(16\) 2.92532 + 53.9543i 0.182832 + 3.37215i
\(17\) 0.955471 0.574888i 0.0562042 0.0338169i −0.487174 0.873305i \(-0.661972\pi\)
0.543379 + 0.839488i \(0.317145\pi\)
\(18\) −9.48918 6.43382i −0.527176 0.357434i
\(19\) 9.43301 33.9746i 0.496474 1.78814i −0.111024 0.993818i \(-0.535413\pi\)
0.607499 0.794321i \(-0.292173\pi\)
\(20\) 47.8519 5.20420i 2.39259 0.260210i
\(21\) −2.51607 1.91267i −0.119813 0.0910793i
\(22\) −37.8864 17.5281i −1.72211 0.796732i
\(23\) −7.43857 + 5.04347i −0.323416 + 0.219281i −0.712080 0.702098i \(-0.752247\pi\)
0.388664 + 0.921379i \(0.372937\pi\)
\(24\) −13.9581 41.4262i −0.581588 1.72609i
\(25\) 0.711266 + 4.33853i 0.0284506 + 0.173541i
\(26\) 12.8538 78.4045i 0.494376 3.01556i
\(27\) 4.92415 + 1.65914i 0.182376 + 0.0614496i
\(28\) −5.17665 18.6446i −0.184880 0.665879i
\(29\) −9.55023 23.9693i −0.329318 0.826526i −0.996651 0.0817670i \(-0.973944\pi\)
0.667333 0.744759i \(-0.267436\pi\)
\(30\) −27.9111 + 11.1208i −0.930369 + 0.370693i
\(31\) 40.1078 11.1359i 1.29380 0.359222i 0.448629 0.893718i \(-0.351912\pi\)
0.845171 + 0.534496i \(0.179499\pi\)
\(32\) 33.6984 100.013i 1.05307 3.12541i
\(33\) 18.6707 + 3.06091i 0.565780 + 0.0927549i
\(34\) −4.20523 + 0.689413i −0.123683 + 0.0202768i
\(35\) −7.84908 + 2.64466i −0.224259 + 0.0755618i
\(36\) 17.8529 + 26.3311i 0.495915 + 0.731420i
\(37\) 4.90077 10.5928i 0.132453 0.286293i −0.829989 0.557780i \(-0.811653\pi\)
0.962442 + 0.271487i \(0.0875154\pi\)
\(38\) −81.5457 + 107.272i −2.14594 + 2.82293i
\(39\) 3.89335 + 35.7987i 0.0998294 + 0.917916i
\(40\) −110.385 30.6483i −2.75963 0.766207i
\(41\) 39.0248 57.5573i 0.951826 1.40384i 0.0373025 0.999304i \(-0.488124\pi\)
0.914523 0.404534i \(-0.132566\pi\)
\(42\) 6.22691 + 10.3492i 0.148260 + 0.246410i
\(43\) 38.3648 2.08008i 0.892204 0.0483739i 0.397667 0.917530i \(-0.369820\pi\)
0.494538 + 0.869156i \(0.335337\pi\)
\(44\) 79.6599 + 84.0960i 1.81045 + 1.91127i
\(45\) 10.8407 8.24086i 0.240904 0.183130i
\(46\) 33.5419 7.38314i 0.729172 0.160503i
\(47\) −29.0723 + 24.6942i −0.618560 + 0.525409i −0.900968 0.433885i \(-0.857142\pi\)
0.282409 + 0.959294i \(0.408867\pi\)
\(48\) −5.06680 + 93.4516i −0.105558 + 1.94691i
\(49\) −21.3924 40.3503i −0.436579 0.823476i
\(50\) 3.61177 16.4085i 0.0722355 0.328169i
\(51\) 1.75288 0.810969i 0.0343702 0.0159014i
\(52\) −113.662 + 188.908i −2.18581 + 3.63284i
\(53\) −10.8157 + 20.4006i −0.204070 + 0.384917i −0.964330 0.264702i \(-0.914726\pi\)
0.760260 + 0.649618i \(0.225071\pi\)
\(54\) −15.1345 12.8554i −0.280269 0.238063i
\(55\) 34.0981 35.9969i 0.619965 0.654489i
\(56\) −4.97927 + 45.7836i −0.0889155 + 0.817565i
\(57\) 22.6050 56.7343i 0.396579 0.995339i
\(58\) 98.6029i 1.70005i
\(59\) −42.5400 + 40.8821i −0.721018 + 0.692917i
\(60\) 83.3706 1.38951
\(61\) 24.4696 + 9.74958i 0.401141 + 0.159829i 0.561979 0.827152i \(-0.310040\pi\)
−0.160838 + 0.986981i \(0.551420\pi\)
\(62\) −158.140 17.1987i −2.55064 0.277399i
\(63\) −3.97423 3.76459i −0.0630831 0.0597555i
\(64\) −121.181 + 142.665i −1.89345 + 2.22914i
\(65\) 83.3765 + 44.2034i 1.28272 + 0.680053i
\(66\) −61.9540 37.2765i −0.938697 0.564795i
\(67\) 30.2240 + 65.3280i 0.451104 + 0.975045i 0.991068 + 0.133357i \(0.0425757\pi\)
−0.539964 + 0.841688i \(0.681562\pi\)
\(68\) 11.5482 + 2.54196i 0.169827 + 0.0373818i
\(69\) −13.7529 + 7.29134i −0.199318 + 0.105672i
\(70\) 31.6062 + 1.71364i 0.451517 + 0.0244805i
\(71\) 48.4549 + 57.0455i 0.682463 + 0.803457i 0.988924 0.148426i \(-0.0474207\pi\)
−0.306461 + 0.951883i \(0.599145\pi\)
\(72\) −16.2767 73.9456i −0.226065 1.02702i
\(73\) −62.7409 82.5342i −0.859464 1.13061i −0.990265 0.139197i \(-0.955548\pi\)
0.130801 0.991409i \(-0.458245\pi\)
\(74\) −32.3820 + 30.6738i −0.437594 + 0.414511i
\(75\) 0.412261 + 7.60370i 0.00549681 + 0.101383i
\(76\) 320.383 192.768i 4.21557 2.53642i
\(77\) −16.4978 11.1858i −0.214257 0.145270i
\(78\) 36.8155 132.597i 0.471994 1.69997i
\(79\) −53.6622 + 5.83612i −0.679269 + 0.0738749i −0.441248 0.897385i \(-0.645464\pi\)
−0.238021 + 0.971260i \(0.576499\pi\)
\(80\) 195.253 + 148.428i 2.44067 + 1.85535i
\(81\) 8.16818 + 3.77900i 0.100842 + 0.0466543i
\(82\) −219.959 + 149.136i −2.68242 + 1.81873i
\(83\) −7.56720 22.4586i −0.0911710 0.270586i 0.892360 0.451324i \(-0.149048\pi\)
−0.983531 + 0.180738i \(0.942151\pi\)
\(84\) −5.42213 33.0735i −0.0645492 0.393733i
\(85\) 0.818861 4.99483i 0.00963366 0.0587627i
\(86\) −139.142 46.8825i −1.61794 0.545146i
\(87\) −11.9558 43.0611i −0.137423 0.494955i
\(88\) −102.044 256.112i −1.15960 2.91037i
\(89\) −123.255 + 49.1094i −1.38489 + 0.551791i −0.939192 0.343392i \(-0.888424\pi\)
−0.445698 + 0.895183i \(0.647045\pi\)
\(90\) −50.1426 + 13.9220i −0.557140 + 0.154689i
\(91\) 12.1132 35.9507i 0.133112 0.395063i
\(92\) −94.0468 15.4182i −1.02225 0.167589i
\(93\) 71.1469 11.6639i 0.765020 0.125419i
\(94\) 138.141 46.5450i 1.46958 0.495160i
\(95\) −89.8171 132.470i −0.945444 1.39442i
\(96\) 76.7544 165.902i 0.799525 1.72815i
\(97\) −8.54672 + 11.2430i −0.0881105 + 0.115907i −0.838036 0.545615i \(-0.816296\pi\)
0.749926 + 0.661522i \(0.230089\pi\)
\(98\) 18.8702 + 173.509i 0.192553 + 1.77050i
\(99\) 31.5759 + 8.76700i 0.318948 + 0.0885556i
\(100\) −26.1632 + 38.5878i −0.261632 + 0.385878i
\(101\) −13.8044 22.9431i −0.136677 0.227159i 0.780958 0.624584i \(-0.214731\pi\)
−0.917635 + 0.397425i \(0.869904\pi\)
\(102\) −7.37008 + 0.399594i −0.0722557 + 0.00391759i
\(103\) 114.792 + 121.185i 1.11449 + 1.17655i 0.982687 + 0.185275i \(0.0593175\pi\)
0.131802 + 0.991276i \(0.457924\pi\)
\(104\) 417.724 317.545i 4.01658 3.05332i
\(105\) −14.0106 + 3.08396i −0.133434 + 0.0293710i
\(106\) 67.2539 57.1260i 0.634471 0.538924i
\(107\) −5.06462 + 93.4113i −0.0473329 + 0.873003i 0.874407 + 0.485194i \(0.161251\pi\)
−0.921740 + 0.387809i \(0.873232\pi\)
\(108\) 25.8100 + 48.6828i 0.238981 + 0.450767i
\(109\) −33.4255 + 151.853i −0.306656 + 1.39315i 0.531195 + 0.847250i \(0.321743\pi\)
−0.837850 + 0.545900i \(0.816188\pi\)
\(110\) −171.970 + 79.5620i −1.56337 + 0.723291i
\(111\) 10.4223 17.3220i 0.0938947 0.156054i
\(112\) 46.1835 87.1113i 0.412352 0.777779i
\(113\) −83.1268 70.6085i −0.735635 0.624854i 0.199191 0.979961i \(-0.436169\pi\)
−0.934826 + 0.355107i \(0.884445\pi\)
\(114\) −160.502 + 169.440i −1.40791 + 1.48631i
\(115\) −4.41058 + 40.5546i −0.0383528 + 0.352648i
\(116\) 101.273 254.177i 0.873045 2.19118i
\(117\) 62.3708i 0.533084i
\(118\) 208.851 84.9639i 1.76992 0.720033i
\(119\) −2.03473 −0.0170986
\(120\) −184.332 73.4448i −1.53610 0.612040i
\(121\) −1.66824 0.181432i −0.0137871 0.00149944i
\(122\) −73.0796 69.2246i −0.599013 0.567415i
\(123\) 77.9754 91.7998i 0.633946 0.746339i
\(124\) 389.985 + 206.757i 3.14504 + 1.66740i
\(125\) 114.334 + 68.7923i 0.914670 + 0.550339i
\(126\) 8.78403 + 18.9864i 0.0697146 + 0.150686i
\(127\) −82.8775 18.2427i −0.652579 0.143643i −0.123672 0.992323i \(-0.539467\pi\)
−0.528907 + 0.848680i \(0.677398\pi\)
\(128\) 259.031 137.330i 2.02368 1.07289i
\(129\) 66.4498 + 3.60280i 0.515114 + 0.0279287i
\(130\) −233.472 274.864i −1.79594 2.11434i
\(131\) 40.0242 + 181.832i 0.305528 + 1.38803i 0.839883 + 0.542768i \(0.182624\pi\)
−0.534354 + 0.845260i \(0.679445\pi\)
\(132\) 121.418 + 159.722i 0.919832 + 1.21002i
\(133\) −46.7103 + 44.2463i −0.351205 + 0.332679i
\(134\) −14.8925 274.675i −0.111138 2.04981i
\(135\) 20.2098 12.1598i 0.149702 0.0900727i
\(136\) −23.2939 15.7936i −0.171278 0.116130i
\(137\) −18.8605 + 67.9294i −0.137668 + 0.495835i −0.999944 0.0106039i \(-0.996625\pi\)
0.862276 + 0.506439i \(0.169038\pi\)
\(138\) 59.1384 6.43169i 0.428539 0.0466064i
\(139\) −131.590 100.032i −0.946689 0.719654i 0.0132357 0.999912i \(-0.495787\pi\)
−0.959925 + 0.280258i \(0.909580\pi\)
\(140\) −79.7137 36.8795i −0.569384 0.263425i
\(141\) −54.6840 + 37.0766i −0.387830 + 0.262955i
\(142\) −91.3303 271.059i −0.643171 1.90886i
\(143\) 36.7410 + 224.110i 0.256930 + 1.56720i
\(144\) −26.2250 + 159.965i −0.182118 + 1.11087i
\(145\) −110.987 37.3957i −0.765424 0.257901i
\(146\) 105.994 + 381.755i 0.725984 + 2.61476i
\(147\) −29.2792 73.4852i −0.199178 0.499899i
\(148\) 114.978 45.8115i 0.776879 0.309537i
\(149\) −70.2751 + 19.5118i −0.471645 + 0.130952i −0.495215 0.868771i \(-0.664911\pi\)
0.0235697 + 0.999722i \(0.492497\pi\)
\(150\) 9.29188 27.5773i 0.0619459 0.183849i
\(151\) −52.8013 8.65633i −0.349677 0.0573267i −0.0156161 0.999878i \(-0.504971\pi\)
−0.334061 + 0.942551i \(0.608419\pi\)
\(152\) −878.186 + 143.971i −5.77754 + 0.947180i
\(153\) 3.17015 1.06815i 0.0207199 0.00698136i
\(154\) 42.7470 + 63.0472i 0.277578 + 0.409397i
\(155\) 79.3341 171.478i 0.511833 1.10631i
\(156\) −231.091 + 303.995i −1.48135 + 1.94868i
\(157\) −28.4125 261.249i −0.180972 1.66401i −0.634619 0.772825i \(-0.718843\pi\)
0.453648 0.891181i \(-0.350122\pi\)
\(158\) 198.763 + 55.1864i 1.25800 + 0.349281i
\(159\) −22.4439 + 33.1023i −0.141157 + 0.208190i
\(160\) −246.975 410.476i −1.54359 2.56547i
\(161\) 16.3751 0.887830i 0.101708 0.00551447i
\(162\) −23.6527 24.9699i −0.146004 0.154135i
\(163\) −73.4348 + 55.8237i −0.450520 + 0.342477i −0.805702 0.592321i \(-0.798212\pi\)
0.355182 + 0.934797i \(0.384419\pi\)
\(164\) 720.179 158.523i 4.39134 0.966606i
\(165\) 65.4544 55.5975i 0.396694 0.336955i
\(166\) −4.90324 + 90.4350i −0.0295376 + 0.544789i
\(167\) −117.882 222.349i −0.705881 1.33143i −0.933815 0.357756i \(-0.883542\pi\)
0.227934 0.973677i \(-0.426803\pi\)
\(168\) −17.1476 + 77.9022i −0.102069 + 0.463704i
\(169\) −238.906 + 110.530i −1.41365 + 0.654022i
\(170\) −9.97227 + 16.5740i −0.0586604 + 0.0974944i
\(171\) 49.5480 93.4575i 0.289755 0.546535i
\(172\) 310.526 + 263.764i 1.80539 + 1.53351i
\(173\) −164.825 + 174.004i −0.952747 + 1.00580i 0.0472288 + 0.998884i \(0.484961\pi\)
−0.999976 + 0.00691899i \(0.997798\pi\)
\(174\) −18.4651 + 169.784i −0.106121 + 0.975771i
\(175\) 2.96937 7.45255i 0.0169678 0.0425860i
\(176\) 590.233i 3.35360i
\(177\) −80.9055 + 62.4284i −0.457093 + 0.352703i
\(178\) 507.038 2.84853
\(179\) 127.068 + 50.6284i 0.709876 + 0.282840i 0.696994 0.717077i \(-0.254520\pi\)
0.0128814 + 0.999917i \(0.495900\pi\)
\(180\) 143.556 + 15.6126i 0.797531 + 0.0867367i
\(181\) 190.876 + 180.807i 1.05456 + 0.998934i 1.00000 0.000423599i \(0.000134836\pi\)
0.0545619 + 0.998510i \(0.482624\pi\)
\(182\) −93.8560 + 110.496i −0.515692 + 0.607120i
\(183\) 40.3084 + 21.3701i 0.220264 + 0.116777i
\(184\) 194.355 + 116.940i 1.05628 + 0.635541i
\(185\) −22.2451 48.0821i −0.120244 0.259903i
\(186\) −269.080 59.2289i −1.44667 0.318435i
\(187\) 10.7617 5.70550i 0.0575493 0.0305107i
\(188\) −403.902 21.8989i −2.14841 0.116484i
\(189\) −6.13824 7.22649i −0.0324774 0.0382354i
\(190\) 131.483 + 597.334i 0.692017 + 3.14386i
\(191\) −3.20287 4.21330i −0.0167689 0.0220592i 0.787632 0.616146i \(-0.211307\pi\)
−0.804401 + 0.594087i \(0.797514\pi\)
\(192\) −235.377 + 222.961i −1.22592 + 1.16125i
\(193\) −7.84519 144.696i −0.0406487 0.749720i −0.945824 0.324681i \(-0.894743\pi\)
0.905175 0.425039i \(-0.139740\pi\)
\(194\) 46.2453 27.8249i 0.238378 0.143427i
\(195\) 135.288 + 91.7275i 0.693784 + 0.470397i
\(196\) 129.564 466.648i 0.661042 2.38086i
\(197\) 120.746 13.1320i 0.612926 0.0666597i 0.203610 0.979052i \(-0.434733\pi\)
0.409317 + 0.912392i \(0.365767\pi\)
\(198\) −99.6977 75.7882i −0.503524 0.382769i
\(199\) 120.780 + 55.8788i 0.606935 + 0.280798i 0.699188 0.714937i \(-0.253545\pi\)
−0.0922533 + 0.995736i \(0.529407\pi\)
\(200\) 91.8405 62.2694i 0.459203 0.311347i
\(201\) 39.8087 + 118.148i 0.198053 + 0.587802i
\(202\) 16.5544 + 100.977i 0.0819524 + 0.499888i
\(203\) −7.61690 + 46.4610i −0.0375217 + 0.228872i
\(204\) 19.4089 + 6.53961i 0.0951415 + 0.0320569i
\(205\) −84.4451 304.144i −0.411927 1.48363i
\(206\) −236.112 592.596i −1.14617 2.87668i
\(207\) −25.0466 + 9.97947i −0.120998 + 0.0482100i
\(208\) −1082.43 + 300.534i −5.20397 + 1.44488i
\(209\) 122.982 364.998i 0.588431 1.74640i
\(210\) 54.1017 + 8.86952i 0.257627 + 0.0422358i
\(211\) −334.942 + 54.9110i −1.58740 + 0.260242i −0.889837 0.456278i \(-0.849182\pi\)
−0.697567 + 0.716520i \(0.745734\pi\)
\(212\) −232.039 + 78.1830i −1.09452 + 0.368788i
\(213\) 72.7515 + 107.300i 0.341556 + 0.503758i
\(214\) 150.111 324.459i 0.701452 1.51616i
\(215\) 105.541 138.837i 0.490889 0.645753i
\(216\) −14.1791 130.375i −0.0656441 0.603587i
\(217\) −73.1858 20.3199i −0.337262 0.0936403i
\(218\) 333.462 491.820i 1.52964 2.25605i
\(219\) −92.5773 153.865i −0.422728 0.702579i
\(220\) 525.019 28.4657i 2.38645 0.129390i
\(221\) 15.9429 + 16.8307i 0.0721399 + 0.0761572i
\(222\) −61.5027 + 46.7531i −0.277039 + 0.210600i
\(223\) 133.280 29.3372i 0.597669 0.131557i 0.0941751 0.995556i \(-0.469979\pi\)
0.503494 + 0.863999i \(0.332048\pi\)
\(224\) −146.776 + 124.672i −0.655248 + 0.556573i
\(225\) −0.714057 + 13.1700i −0.00317358 + 0.0585333i
\(226\) 195.235 + 368.253i 0.863873 + 1.62944i
\(227\) −49.4498 + 224.653i −0.217841 + 0.989660i 0.733060 + 0.680164i \(0.238091\pi\)
−0.950901 + 0.309496i \(0.899840\pi\)
\(228\) 587.767 271.930i 2.57792 1.19267i
\(229\) 99.1061 164.716i 0.432778 0.719282i −0.561340 0.827585i \(-0.689714\pi\)
0.994118 + 0.108303i \(0.0345417\pi\)
\(230\) 73.0227 137.735i 0.317490 0.598850i
\(231\) −26.3127 22.3503i −0.113908 0.0967543i
\(232\) −447.831 + 472.769i −1.93030 + 2.03780i
\(233\) 41.6292 382.774i 0.178666 1.64281i −0.470673 0.882308i \(-0.655989\pi\)
0.649339 0.760499i \(-0.275046\pi\)
\(234\) 88.2237 221.425i 0.377024 0.946260i
\(235\) 173.142i 0.736776i
\(236\) −625.636 + 4.51159i −2.65100 + 0.0191169i
\(237\) −93.4938 −0.394489
\(238\) 7.22357 + 2.87813i 0.0303511 + 0.0120930i
\(239\) 374.049 + 40.6803i 1.56506 + 0.170210i 0.849213 0.528050i \(-0.177077\pi\)
0.715844 + 0.698260i \(0.246042\pi\)
\(240\) 308.411 + 292.142i 1.28504 + 1.21726i
\(241\) −198.276 + 233.428i −0.822721 + 0.968582i −0.999878 0.0156005i \(-0.995034\pi\)
0.177157 + 0.984183i \(0.443310\pi\)
\(242\) 5.66583 + 3.00383i 0.0234125 + 0.0124125i
\(243\) 13.3571 + 8.03669i 0.0549674 + 0.0330728i
\(244\) 117.284 + 253.505i 0.480671 + 1.03895i
\(245\) −202.456 44.5640i −0.826352 0.181894i
\(246\) −406.674 + 215.605i −1.65315 + 0.876443i
\(247\) 731.987 + 39.6872i 2.96351 + 0.160677i
\(248\) −680.116 800.695i −2.74240 3.22861i
\(249\) −8.82416 40.0886i −0.0354384 0.160998i
\(250\) −308.593 405.947i −1.23437 1.62379i
\(251\) 201.928 191.276i 0.804494 0.762057i −0.170246 0.985402i \(-0.554456\pi\)
0.974740 + 0.223344i \(0.0716975\pi\)
\(252\) −3.14275 57.9646i −0.0124712 0.230018i
\(253\) −84.1183 + 50.6123i −0.332484 + 0.200049i
\(254\) 268.422 + 181.995i 1.05678 + 0.716514i
\(255\) 2.34536 8.44724i 0.00919751 0.0331264i
\(256\) −369.500 + 40.1856i −1.44336 + 0.156975i
\(257\) 30.5342 + 23.2115i 0.118810 + 0.0903170i 0.662892 0.748715i \(-0.269329\pi\)
−0.544082 + 0.839032i \(0.683122\pi\)
\(258\) −230.809 106.784i −0.894610 0.413891i
\(259\) −17.6277 + 11.9519i −0.0680605 + 0.0461462i
\(260\) 319.531 + 948.335i 1.22897 + 3.64744i
\(261\) −12.5228 76.3857i −0.0479800 0.292665i
\(262\) 115.110 702.142i 0.439352 2.67993i
\(263\) 219.537 + 73.9705i 0.834740 + 0.281257i 0.704036 0.710165i \(-0.251379\pi\)
0.130705 + 0.991421i \(0.458276\pi\)
\(264\) −127.749 460.109i −0.483896 1.74284i
\(265\) 38.7940 + 97.3657i 0.146393 + 0.367418i
\(266\) 228.414 91.0086i 0.858701 0.342138i
\(267\) −221.430 + 61.4796i −0.829324 + 0.230261i
\(268\) −243.724 + 723.348i −0.909419 + 2.69906i
\(269\) −187.130 30.6784i −0.695651 0.114046i −0.196426 0.980519i \(-0.562934\pi\)
−0.499225 + 0.866472i \(0.666382\pi\)
\(270\) −88.9475 + 14.5822i −0.329435 + 0.0540082i
\(271\) −132.945 + 44.7944i −0.490573 + 0.165293i −0.553706 0.832712i \(-0.686787\pi\)
0.0631339 + 0.998005i \(0.479890\pi\)
\(272\) 33.8127 + 49.8701i 0.124312 + 0.183346i
\(273\) 27.5901 59.6351i 0.101063 0.218443i
\(274\) 163.044 214.480i 0.595050 0.782775i
\(275\) 5.19235 + 47.7429i 0.0188813 + 0.173610i
\(276\) −159.052 44.1605i −0.576274 0.160002i
\(277\) −37.8841 + 55.8749i −0.136766 + 0.201714i −0.889904 0.456148i \(-0.849229\pi\)
0.753138 + 0.657862i \(0.228539\pi\)
\(278\) 325.666 + 541.261i 1.17146 + 1.94698i
\(279\) 124.692 6.76060i 0.446924 0.0242315i
\(280\) 143.758 + 151.764i 0.513423 + 0.542014i
\(281\) −213.801 + 162.527i −0.760856 + 0.578388i −0.912032 0.410119i \(-0.865487\pi\)
0.151176 + 0.988507i \(0.451694\pi\)
\(282\) 246.580 54.2765i 0.874399 0.192470i
\(283\) −102.203 + 86.8118i −0.361140 + 0.306755i −0.809525 0.587085i \(-0.800275\pi\)
0.448385 + 0.893841i \(0.351999\pi\)
\(284\) −42.9699 + 792.533i −0.151302 + 2.79061i
\(285\) −129.848 244.920i −0.455609 0.859369i
\(286\) 186.569 847.591i 0.652339 2.96360i
\(287\) −115.163 + 53.2803i −0.401266 + 0.185645i
\(288\) 163.231 271.293i 0.566775 0.941988i
\(289\) −134.788 + 254.236i −0.466393 + 0.879711i
\(290\) 341.121 + 289.751i 1.17628 + 0.999140i
\(291\) −16.8220 + 17.7588i −0.0578076 + 0.0610268i
\(292\) 118.865 1092.94i 0.407071 3.74296i
\(293\) −18.1682 + 45.5988i −0.0620076 + 0.155627i −0.956716 0.291024i \(-0.906004\pi\)
0.894708 + 0.446651i \(0.147383\pi\)
\(294\) 302.298i 1.02822i
\(295\) 16.4268 + 267.303i 0.0556840 + 0.906113i
\(296\) −294.574 −0.995183
\(297\) 52.7287 + 21.0090i 0.177538 + 0.0707375i
\(298\) 277.086 + 30.1349i 0.929817 + 0.101124i
\(299\) −135.649 128.493i −0.453675 0.429744i
\(300\) −52.2766 + 61.5447i −0.174255 + 0.205149i
\(301\) −61.9414 32.8392i −0.205785 0.109100i
\(302\) 175.207 + 105.419i 0.580157 + 0.349069i
\(303\) −19.4732 42.0907i −0.0642681 0.138913i
\(304\) 1860.67 + 409.565i 6.12063 + 1.34725i
\(305\) 105.634 56.0038i 0.346342 0.183619i
\(306\) −12.7654 0.692117i −0.0417168 0.00226182i
\(307\) −224.821 264.680i −0.732316 0.862149i 0.262385 0.964963i \(-0.415491\pi\)
−0.994701 + 0.102814i \(0.967215\pi\)
\(308\) −45.4379 206.426i −0.147526 0.670215i
\(309\) 174.967 + 230.165i 0.566235 + 0.744869i
\(310\) −524.203 + 496.551i −1.69098 + 1.60178i
\(311\) 6.13735 + 113.197i 0.0197343 + 0.363977i 0.991676 + 0.128756i \(0.0410985\pi\)
−0.971942 + 0.235221i \(0.924419\pi\)
\(312\) 778.744 468.555i 2.49597 1.50178i
\(313\) −493.904 334.875i −1.57797 1.06989i −0.958587 0.284799i \(-0.908073\pi\)
−0.619381 0.785090i \(-0.712617\pi\)
\(314\) −268.669 + 967.659i −0.855634 + 3.08172i
\(315\) −24.7023 + 2.68654i −0.0784199 + 0.00852868i
\(316\) −455.687 346.405i −1.44205 1.09622i
\(317\) −337.436 156.115i −1.06447 0.492475i −0.192125 0.981370i \(-0.561538\pi\)
−0.872342 + 0.488896i \(0.837400\pi\)
\(318\) 126.502 85.7706i 0.397805 0.269719i
\(319\) −89.9934 267.091i −0.282111 0.837276i
\(320\) 137.458 + 838.458i 0.429557 + 2.62018i
\(321\) −26.2137 + 159.896i −0.0816625 + 0.498119i
\(322\) −59.3895 20.0107i −0.184439 0.0621449i
\(323\) −10.5186 37.8847i −0.0325654 0.117290i
\(324\) 35.3254 + 88.6601i 0.109029 + 0.273642i
\(325\) −84.9116 + 33.8319i −0.261266 + 0.104098i
\(326\) 339.666 94.3078i 1.04192 0.289288i
\(327\) −85.9924 + 255.216i −0.262974 + 0.780478i
\(328\) −1731.97 283.942i −5.28039 0.865676i
\(329\) 68.6865 11.2606i 0.208773 0.0342267i
\(330\) −311.015 + 104.793i −0.942470 + 0.317555i
\(331\) 316.804 + 467.250i 0.957111 + 1.41163i 0.910866 + 0.412702i \(0.135415\pi\)
0.0462445 + 0.998930i \(0.485275\pi\)
\(332\) 105.524 228.086i 0.317842 0.687005i
\(333\) 21.1900 27.8750i 0.0636337 0.0837087i
\(334\) 103.984 + 956.114i 0.311328 + 2.86262i
\(335\) 314.820 + 87.4093i 0.939761 + 0.260923i
\(336\) 95.8363 141.348i 0.285227 0.420679i
\(337\) 45.2053 + 75.1318i 0.134140 + 0.222943i 0.916646 0.399701i \(-0.130886\pi\)
−0.782505 + 0.622644i \(0.786058\pi\)
\(338\) 1004.49 54.4621i 2.97187 0.161130i
\(339\) −129.913 137.148i −0.383224 0.404565i
\(340\) 42.7292 32.4819i 0.125674 0.0955350i
\(341\) 444.059 97.7447i 1.30223 0.286641i
\(342\) −308.098 + 261.701i −0.900872 + 0.765207i
\(343\) −9.35237 + 172.494i −0.0272664 + 0.502899i
\(344\) −454.214 856.738i −1.32039 2.49052i
\(345\) −15.1891 + 69.0049i −0.0440264 + 0.200014i
\(346\) 831.281 384.592i 2.40255 1.11154i
\(347\) −74.3524 + 123.575i −0.214272 + 0.356123i −0.945288 0.326238i \(-0.894219\pi\)
0.731016 + 0.682361i \(0.239047\pi\)
\(348\) 221.981 418.701i 0.637877 1.20316i
\(349\) −40.7267 34.5936i −0.116696 0.0991221i 0.587139 0.809486i \(-0.300254\pi\)
−0.703834 + 0.710364i \(0.748530\pi\)
\(350\) −21.0833 + 22.2574i −0.0602380 + 0.0635925i
\(351\) −11.6800 + 107.396i −0.0332765 + 0.305972i
\(352\) 426.709 1070.96i 1.21224 3.04250i
\(353\) 106.660i 0.302154i 0.988522 + 0.151077i \(0.0482742\pi\)
−0.988522 + 0.151077i \(0.951726\pi\)
\(354\) 375.531 107.188i 1.06082 0.302791i
\(355\) 339.739 0.957010
\(356\) −1307.03 520.769i −3.67144 1.46284i
\(357\) −3.50360 0.381039i −0.00981400 0.00106734i
\(358\) −379.494 359.475i −1.06004 1.00412i
\(359\) 116.237 136.845i 0.323781 0.381184i −0.576057 0.817410i \(-0.695409\pi\)
0.899837 + 0.436226i \(0.143685\pi\)
\(360\) −303.648 160.984i −0.843466 0.447177i
\(361\) −755.968 454.851i −2.09410 1.25998i
\(362\) −421.882 911.884i −1.16542 2.51902i
\(363\) −2.83856 0.624814i −0.00781972 0.00172125i
\(364\) 355.428 188.436i 0.976451 0.517682i
\(365\) −469.898 25.4771i −1.28739 0.0698004i
\(366\) −112.872 132.883i −0.308393 0.363069i
\(367\) −20.5090 93.1734i −0.0558829 0.253879i 0.940394 0.340086i \(-0.110456\pi\)
−0.996277 + 0.0862076i \(0.972525\pi\)
\(368\) −293.877 386.589i −0.798580 1.05051i
\(369\) 151.457 143.467i 0.410452 0.388801i
\(370\) 10.9610 + 202.164i 0.0296243 + 0.546388i
\(371\) 36.1024 21.7221i 0.0973112 0.0585502i
\(372\) 632.795 + 429.046i 1.70106 + 1.15335i
\(373\) −7.11976 + 25.6431i −0.0190878 + 0.0687482i −0.972481 0.232984i \(-0.925151\pi\)
0.953393 + 0.301732i \(0.0975648\pi\)
\(374\) −46.2760 + 5.03282i −0.123733 + 0.0134567i
\(375\) 183.988 + 139.864i 0.490636 + 0.372972i
\(376\) 873.736 + 404.233i 2.32377 + 1.07509i
\(377\) 443.994 301.035i 1.17770 0.798503i
\(378\) 11.5697 + 34.3376i 0.0306076 + 0.0908401i
\(379\) −65.2802 398.192i −0.172243 1.05064i −0.921506 0.388364i \(-0.873040\pi\)
0.749263 0.662273i \(-0.230408\pi\)
\(380\) 274.576 1674.84i 0.722569 4.40747i
\(381\) −139.290 46.9324i −0.365591 0.123182i
\(382\) 5.41089 + 19.4882i 0.0141646 + 0.0510164i
\(383\) 42.3555 + 106.304i 0.110589 + 0.277557i 0.973847 0.227206i \(-0.0729591\pi\)
−0.863258 + 0.504763i \(0.831580\pi\)
\(384\) 471.742 187.959i 1.22850 0.489477i
\(385\) −87.1773 + 24.2047i −0.226435 + 0.0628693i
\(386\) −176.822 + 524.788i −0.458087 + 1.35955i
\(387\) 113.745 + 18.6475i 0.293915 + 0.0481849i
\(388\) −147.789 + 24.2287i −0.380898 + 0.0624451i
\(389\) 17.8778 6.02372i 0.0459582 0.0154851i −0.296229 0.955117i \(-0.595729\pi\)
0.342187 + 0.939632i \(0.388832\pi\)
\(390\) −350.542 517.010i −0.898825 1.32567i
\(391\) −4.20790 + 9.09523i −0.0107619 + 0.0232615i
\(392\) −697.558 + 917.622i −1.77948 + 2.34087i
\(393\) 34.8664 + 320.591i 0.0887185 + 0.815753i
\(394\) −447.241 124.176i −1.13513 0.315167i
\(395\) −137.499 + 202.796i −0.348100 + 0.513409i
\(396\) 179.158 + 297.763i 0.452419 + 0.751927i
\(397\) −91.3025 + 4.95028i −0.229981 + 0.0124692i −0.168769 0.985656i \(-0.553979\pi\)
−0.0612118 + 0.998125i \(0.519497\pi\)
\(398\) −349.745 369.221i −0.878756 0.927691i
\(399\) −88.7162 + 67.4403i −0.222346 + 0.169023i
\(400\) −232.002 + 51.0675i −0.580005 + 0.127669i
\(401\) 92.7687 78.7984i 0.231343 0.196505i −0.524215 0.851586i \(-0.675641\pi\)
0.755559 + 0.655081i \(0.227365\pi\)
\(402\) 25.7945 475.751i 0.0641654 1.18346i
\(403\) 405.359 + 764.588i 1.00585 + 1.89724i
\(404\) 61.0383 277.300i 0.151085 0.686386i
\(405\) 37.0763 17.1533i 0.0915464 0.0423539i
\(406\) 92.7603 154.169i 0.228474 0.379726i
\(407\) 59.7192 112.642i 0.146730 0.276763i
\(408\) −37.1520 31.5572i −0.0910588 0.0773461i
\(409\) 286.461 302.414i 0.700394 0.739397i −0.274617 0.961554i \(-0.588551\pi\)
0.975011 + 0.222156i \(0.0713095\pi\)
\(410\) −130.421 + 1199.20i −0.318099 + 2.92488i
\(411\) −45.1968 + 113.435i −0.109968 + 0.275999i
\(412\) 1770.09i 4.29633i
\(413\) 104.972 23.9011i 0.254170 0.0578718i
\(414\) 103.035 0.248876
\(415\) −99.9332 39.8170i −0.240803 0.0959447i
\(416\) 2181.30 + 237.230i 5.24351 + 0.570266i
\(417\) −207.851 196.887i −0.498444 0.472152i
\(418\) −952.893 + 1121.83i −2.27965 + 2.68381i
\(419\) −84.9127 45.0178i −0.202656 0.107441i 0.363990 0.931403i \(-0.381414\pi\)
−0.566645 + 0.823962i \(0.691759\pi\)
\(420\) −130.352 78.4305i −0.310363 0.186739i
\(421\) −228.118 493.070i −0.541849 1.17119i −0.964303 0.264803i \(-0.914693\pi\)
0.422453 0.906385i \(-0.361169\pi\)
\(422\) 1266.76 + 278.835i 3.00181 + 0.660748i
\(423\) −101.103 + 53.6016i −0.239015 + 0.126718i
\(424\) 581.913 + 31.5504i 1.37244 + 0.0744113i
\(425\) 3.17376 + 3.73644i 0.00746768 + 0.00879163i
\(426\) −106.501 483.838i −0.250002 1.13577i
\(427\) −29.0871 38.2634i −0.0681197 0.0896099i
\(428\) −720.198 + 682.208i −1.68271 + 1.59394i
\(429\) 21.2956 + 392.775i 0.0496402 + 0.915559i
\(430\) −571.070 + 343.602i −1.32807 + 0.799074i
\(431\) 525.135 + 356.050i 1.21841 + 0.826103i 0.989099 0.147250i \(-0.0470422\pi\)
0.229311 + 0.973353i \(0.426353\pi\)
\(432\) −75.1130 + 270.533i −0.173873 + 0.626233i
\(433\) 389.610 42.3726i 0.899791 0.0978582i 0.353481 0.935442i \(-0.384998\pi\)
0.546310 + 0.837583i \(0.316032\pi\)
\(434\) 231.077 + 175.660i 0.532435 + 0.404747i
\(435\) −184.104 85.1758i −0.423229 0.195806i
\(436\) −1364.73 + 925.310i −3.13012 + 2.12227i
\(437\) 101.182 + 300.298i 0.231538 + 0.687180i
\(438\) 111.020 + 677.191i 0.253470 + 1.54610i
\(439\) −9.82494 + 59.9295i −0.0223803 + 0.136514i −0.995653 0.0931377i \(-0.970310\pi\)
0.973273 + 0.229651i \(0.0737586\pi\)
\(440\) −1185.89 399.574i −2.69521 0.908123i
\(441\) −36.6544 132.017i −0.0831164 0.299358i
\(442\) −32.7924 82.3027i −0.0741909 0.186205i
\(443\) 314.578 125.339i 0.710109 0.282933i 0.0130171 0.999915i \(-0.495856\pi\)
0.697092 + 0.716982i \(0.254477\pi\)
\(444\) 206.560 57.3510i 0.465224 0.129169i
\(445\) −192.297 + 570.717i −0.432128 + 1.28251i
\(446\) −514.660 84.3743i −1.15395 0.189180i
\(447\) −124.660 + 20.4370i −0.278882 + 0.0457205i
\(448\) 323.681 109.061i 0.722502 0.243439i
\(449\) 48.5419 + 71.5939i 0.108111 + 0.159452i 0.877896 0.478852i \(-0.158947\pi\)
−0.769785 + 0.638304i \(0.779636\pi\)
\(450\) 21.1640 45.7452i 0.0470311 0.101656i
\(451\) 459.700 604.724i 1.01929 1.34085i
\(452\) −125.048 1149.80i −0.276655 2.54380i
\(453\) −89.2973 24.7933i −0.197124 0.0547313i
\(454\) 493.326 727.601i 1.08662 1.60264i
\(455\) −88.7776 147.550i −0.195116 0.324285i
\(456\) −1539.11 + 83.4480i −3.37524 + 0.183000i
\(457\) −50.5509 53.3660i −0.110615 0.116775i 0.668336 0.743859i \(-0.267007\pi\)
−0.778951 + 0.627085i \(0.784248\pi\)
\(458\) −584.831 + 444.577i −1.27692 + 0.970692i
\(459\) 5.65870 1.24557i 0.0123283 0.00271367i
\(460\) −329.702 + 280.051i −0.716743 + 0.608807i
\(461\) −33.6502 + 620.642i −0.0729940 + 1.34630i 0.701027 + 0.713135i \(0.252725\pi\)
−0.774021 + 0.633160i \(0.781757\pi\)
\(462\) 61.7993 + 116.566i 0.133765 + 0.252307i
\(463\) −83.2459 + 378.190i −0.179797 + 0.816825i 0.797224 + 0.603683i \(0.206301\pi\)
−0.977021 + 0.213142i \(0.931630\pi\)
\(464\) 1265.31 585.394i 2.72696 1.26162i
\(465\) 168.718 280.411i 0.362833 0.603034i
\(466\) −689.224 + 1300.01i −1.47902 + 2.78973i
\(467\) −564.375 479.384i −1.20851 1.02652i −0.998811 0.0487525i \(-0.984475\pi\)
−0.209700 0.977766i \(-0.567249\pi\)
\(468\) −454.843 + 480.172i −0.971886 + 1.02601i
\(469\) 14.2009 130.575i 0.0302792 0.278412i
\(470\) 244.910 614.679i 0.521086 1.30783i
\(471\) 455.165i 0.966379i
\(472\) 1387.26 + 541.175i 2.93910 + 1.14656i
\(473\) 419.692 0.887297
\(474\) 331.916 + 132.247i 0.700244 + 0.279003i
\(475\) 154.109 + 16.7604i 0.324441 + 0.0352851i
\(476\) −15.6647 14.8384i −0.0329090 0.0311731i
\(477\) −44.8451 + 52.7957i −0.0940148 + 0.110683i
\(478\) −1270.38 673.513i −2.65770 1.40902i
\(479\) −500.681 301.250i −1.04526 0.628914i −0.114083 0.993471i \(-0.536393\pi\)
−0.931181 + 0.364557i \(0.881221\pi\)
\(480\) −348.397 753.048i −0.725827 1.56885i
\(481\) 236.982 + 52.1637i 0.492686 + 0.108448i
\(482\) 1034.09 548.240i 2.14542 1.13743i
\(483\) 28.3624 + 1.53777i 0.0587214 + 0.00318378i
\(484\) −11.5201 13.5625i −0.0238018 0.0280217i
\(485\) 13.7806 + 62.6060i 0.0284136 + 0.129085i
\(486\) −36.0515 47.4250i −0.0741801 0.0975822i
\(487\) −301.239 + 285.348i −0.618560 + 0.585931i −0.931455 0.363857i \(-0.881460\pi\)
0.312895 + 0.949788i \(0.398701\pi\)
\(488\) −35.9912 663.819i −0.0737525 1.36029i
\(489\) −136.901 + 82.3707i −0.279961 + 0.168447i
\(490\) 655.711 + 444.583i 1.33819 + 0.907313i
\(491\) 56.7440 204.373i 0.115568 0.416239i −0.883021 0.469333i \(-0.844494\pi\)
0.998590 + 0.0530938i \(0.0169082\pi\)
\(492\) 1269.76 138.095i 2.58081 0.280680i
\(493\) −22.9046 17.4116i −0.0464596 0.0353177i
\(494\) −2542.51 1176.29i −5.14679 2.38116i
\(495\) 123.117 83.4757i 0.248722 0.168638i
\(496\) 718.157 + 2131.41i 1.44790 + 4.29720i
\(497\) −22.0954 134.776i −0.0444576 0.271179i
\(498\) −25.3784 + 154.802i −0.0509607 + 0.310847i
\(499\) 531.731 + 179.161i 1.06559 + 0.359040i 0.796853 0.604173i \(-0.206496\pi\)
0.268740 + 0.963213i \(0.413393\pi\)
\(500\) 378.544 + 1363.39i 0.757089 + 2.72679i
\(501\) −161.342 404.938i −0.322040 0.808260i
\(502\) −987.433 + 393.429i −1.96700 + 0.783723i
\(503\) −392.104 + 108.867i −0.779531 + 0.216436i −0.634429 0.772981i \(-0.718765\pi\)
−0.145102 + 0.989417i \(0.546351\pi\)
\(504\) −44.1149 + 130.928i −0.0875296 + 0.259779i
\(505\) −119.937 19.6627i −0.237500 0.0389361i
\(506\) 370.223 60.6949i 0.731666 0.119950i
\(507\) −432.070 + 145.581i −0.852210 + 0.287143i
\(508\) −505.010 744.833i −0.994113 1.46621i
\(509\) −35.5370 + 76.8120i −0.0698173 + 0.150908i −0.939342 0.342982i \(-0.888563\pi\)
0.869525 + 0.493889i \(0.164425\pi\)
\(510\) −20.2750 + 26.6713i −0.0397549 + 0.0522967i
\(511\) 20.4536 + 188.068i 0.0400267 + 0.368039i
\(512\) 238.632 + 66.2558i 0.466078 + 0.129406i
\(513\) 102.818 151.646i 0.200425 0.295605i
\(514\) −75.5677 125.594i −0.147019 0.244347i
\(515\) 756.568 41.0199i 1.46906 0.0796503i
\(516\) 485.300 + 512.325i 0.940504 + 0.992878i
\(517\) −331.708 + 252.158i −0.641602 + 0.487733i
\(518\) 79.4865 17.4963i 0.153449 0.0337767i
\(519\) −316.398 + 268.750i −0.609629 + 0.517824i
\(520\) 128.945 2378.26i 0.247972 4.57358i
\(521\) −274.012 516.841i −0.525934 0.992017i −0.994109 0.108382i \(-0.965433\pi\)
0.468175 0.883636i \(-0.344912\pi\)
\(522\) −63.5901 + 288.893i −0.121820 + 0.553435i
\(523\) 253.344 117.209i 0.484405 0.224109i −0.162459 0.986715i \(-0.551942\pi\)
0.646863 + 0.762606i \(0.276080\pi\)
\(524\) −1017.89 + 1691.74i −1.94253 + 3.22851i
\(525\) 6.50857 12.2765i 0.0123973 0.0233837i
\(526\) −674.754 573.141i −1.28280 1.08962i
\(527\) 31.9199 33.6975i 0.0605692 0.0639421i
\(528\) −110.532 + 1016.32i −0.209340 + 1.92485i
\(529\) −165.907 + 416.396i −0.313625 + 0.787138i
\(530\) 400.536i 0.755728i
\(531\) −151.002 + 92.3443i −0.284372 + 0.173906i
\(532\) −682.275 −1.28247
\(533\) 1343.07 + 535.128i 2.51983 + 1.00399i
\(534\) 873.068 + 94.9518i 1.63496 + 0.177812i
\(535\) 308.278 + 292.016i 0.576220 + 0.545824i
\(536\) 1176.10 1384.62i 2.19422 2.58324i
\(537\) 209.317 + 110.973i 0.389789 + 0.206653i
\(538\) 620.942 + 373.609i 1.15417 + 0.694440i
\(539\) −209.474 452.770i −0.388634 0.840018i
\(540\) 244.264 + 53.7666i 0.452341 + 0.0995678i
\(541\) 707.752 375.226i 1.30823 0.693579i 0.339244 0.940699i \(-0.389829\pi\)
0.968985 + 0.247120i \(0.0794840\pi\)
\(542\) 535.335 + 29.0250i 0.987703 + 0.0535517i
\(543\) 294.809 + 347.076i 0.542926 + 0.639182i
\(544\) −25.2986 114.933i −0.0465047 0.211273i
\(545\) 427.120 + 561.867i 0.783707 + 1.03095i
\(546\) −182.303 + 172.686i −0.333888 + 0.316275i
\(547\) −9.66239 178.212i −0.0176643 0.325799i −0.993988 0.109486i \(-0.965079\pi\)
0.976324 0.216313i \(-0.0694033\pi\)
\(548\) −640.579 + 385.424i −1.16894 + 0.703328i
\(549\) 65.4049 + 44.3456i 0.119135 + 0.0807753i
\(550\) 49.0989 176.838i 0.0892707 0.321524i
\(551\) −904.434 + 98.3631i −1.64144 + 0.178517i
\(552\) 312.760 + 237.754i 0.566595 + 0.430714i
\(553\) 89.3929 + 41.3576i 0.161651 + 0.0747876i
\(554\) 213.529 144.776i 0.385431 0.261329i
\(555\) −29.2996 86.9582i −0.0527921 0.156681i
\(556\) −283.576 1729.74i −0.510029 3.11104i
\(557\) 12.8972 78.6695i 0.0231548 0.141238i −0.972719 0.231986i \(-0.925478\pi\)
0.995874 + 0.0907483i \(0.0289259\pi\)
\(558\) −452.236 152.376i −0.810459 0.273075i
\(559\) 213.698 + 769.670i 0.382286 + 1.37687i
\(560\) −165.652 415.755i −0.295807 0.742420i
\(561\) 19.5990 7.80897i 0.0349359 0.0139197i
\(562\) 988.916 274.571i 1.75964 0.488561i
\(563\) 6.52722 19.3721i 0.0115936 0.0344087i −0.941700 0.336453i \(-0.890773\pi\)
0.953294 + 0.302045i \(0.0976691\pi\)
\(564\) −691.377 113.345i −1.22584 0.200967i
\(565\) −488.546 + 80.0930i −0.864683 + 0.141758i
\(566\) 485.629 163.627i 0.858002 0.289094i
\(567\) −9.21612 13.5928i −0.0162542 0.0239731i
\(568\) 793.184 1714.44i 1.39645 3.01838i
\(569\) −255.100 + 335.578i −0.448331 + 0.589769i −0.963630 0.267242i \(-0.913888\pi\)
0.515299 + 0.857011i \(0.327681\pi\)
\(570\) 114.539 + 1053.17i 0.200946 + 1.84767i
\(571\) −86.9795 24.1497i −0.152328 0.0422938i 0.190527 0.981682i \(-0.438980\pi\)
−0.342855 + 0.939388i \(0.611394\pi\)
\(572\) −1351.48 + 1993.28i −2.36272 + 3.48476i
\(573\) −4.72599 7.85466i −0.00824781 0.0137080i
\(574\) 484.211 26.2531i 0.843573 0.0457372i
\(575\) −27.1721 28.6852i −0.0472558 0.0498873i
\(576\) −447.048 + 339.837i −0.776125 + 0.589995i
\(577\) 372.358 81.9622i 0.645335 0.142049i 0.119769 0.992802i \(-0.461785\pi\)
0.525566 + 0.850753i \(0.323854\pi\)
\(578\) 838.132 711.916i 1.45006 1.23169i
\(579\) 13.5883 250.621i 0.0234685 0.432851i
\(580\) −581.737 1097.27i −1.00299 1.89185i
\(581\) −9.29632 + 42.2336i −0.0160005 + 0.0726912i
\(582\) 84.8403 39.2513i 0.145774 0.0674421i
\(583\) −130.036 + 216.122i −0.223047 + 0.370706i
\(584\) −1225.63 + 2311.79i −2.09868 + 3.95854i
\(585\) 215.774 + 183.280i 0.368845 + 0.313300i
\(586\) 128.999 136.183i 0.220135 0.232394i
\(587\) 71.1234 653.968i 0.121164 1.11409i −0.762834 0.646595i \(-0.776192\pi\)
0.883998 0.467491i \(-0.154842\pi\)
\(588\) 310.485 779.258i 0.528035 1.32527i
\(589\) 1467.69i 2.49184i
\(590\) 319.784 972.199i 0.542007 1.64779i
\(591\) 210.372 0.355960
\(592\) 585.866 + 233.430i 0.989638 + 0.394308i
\(593\) 410.179 + 44.6097i 0.691702 + 0.0752271i 0.447216 0.894426i \(-0.352415\pi\)
0.244486 + 0.969653i \(0.421381\pi\)
\(594\) −157.477 149.170i −0.265112 0.251127i
\(595\) −5.97918 + 7.03924i −0.0100490 + 0.0118306i
\(596\) −683.315 362.271i −1.14650 0.607837i
\(597\) 197.507 + 118.836i 0.330832 + 0.199055i
\(598\) 299.818 + 648.045i 0.501367 + 1.08369i
\(599\) −375.606 82.6771i −0.627055 0.138025i −0.109936 0.993939i \(-0.535065\pi\)
−0.517119 + 0.855913i \(0.672996\pi\)
\(600\) 169.801 90.0228i 0.283002 0.150038i
\(601\) 185.811 + 10.0744i 0.309170 + 0.0167627i 0.208071 0.978114i \(-0.433281\pi\)
0.101099 + 0.994876i \(0.467764\pi\)
\(602\) 173.449 + 204.200i 0.288121 + 0.339203i
\(603\) 46.4212 + 210.894i 0.0769838 + 0.349741i
\(604\) −343.372 451.698i −0.568497 0.747845i
\(605\) −5.52989 + 5.23819i −0.00914031 + 0.00865816i
\(606\) 9.59518 + 176.973i 0.0158336 + 0.292034i
\(607\) 199.336 119.936i 0.328395 0.197589i −0.341802 0.939772i \(-0.611037\pi\)
0.670197 + 0.742183i \(0.266210\pi\)
\(608\) −3080.04 2088.32i −5.06585 3.43473i
\(609\) −21.8162 + 78.5747i −0.0358229 + 0.129023i
\(610\) −454.234 + 49.4009i −0.744646 + 0.0809851i
\(611\) −631.330 479.924i −1.03327 0.785474i
\(612\) 32.1954 + 14.8952i 0.0526069 + 0.0243385i
\(613\) 352.788 239.196i 0.575511 0.390206i −0.238425 0.971161i \(-0.576631\pi\)
0.813936 + 0.580955i \(0.197321\pi\)
\(614\) 423.755 + 1257.66i 0.690154 + 2.04830i
\(615\) −88.4495 539.518i −0.143820 0.877265i
\(616\) −81.3868 + 496.437i −0.132121 + 0.805905i
\(617\) −371.473 125.164i −0.602063 0.202859i 0.00173193 0.999999i \(-0.499449\pi\)
−0.603795 + 0.797140i \(0.706345\pi\)
\(618\) −295.586 1064.61i −0.478295 1.72266i
\(619\) −141.656 355.530i −0.228847 0.574362i 0.769050 0.639189i \(-0.220730\pi\)
−0.997897 + 0.0648267i \(0.979351\pi\)
\(620\) 1861.28 741.601i 3.00206 1.19613i
\(621\) −44.9965 + 12.4932i −0.0724581 + 0.0201179i
\(622\) 138.329 410.545i 0.222394 0.660041i
\(623\) 238.913 + 39.1678i 0.383488 + 0.0628696i
\(624\) −1920.11 + 314.786i −3.07709 + 0.504464i
\(625\) 469.809 158.297i 0.751694 0.253275i
\(626\) 1279.74 + 1887.48i 2.04432 + 3.01515i
\(627\) 280.115 605.458i 0.446754 0.965643i
\(628\) 1686.43 2218.47i 2.68540 3.53259i
\(629\) −1.40715 12.9385i −0.00223712 0.0205700i
\(630\) 91.4966 + 25.4039i 0.145233 + 0.0403236i
\(631\) 123.222 181.739i 0.195280 0.288017i −0.717425 0.696636i \(-0.754679\pi\)
0.912705 + 0.408619i \(0.133990\pi\)
\(632\) 702.363 + 1167.34i 1.11133 + 1.84705i
\(633\) −587.019 + 31.8273i −0.927361 + 0.0502800i
\(634\) 977.119 + 1031.53i 1.54120 + 1.62702i
\(635\) −306.652 + 233.111i −0.482917 + 0.367104i
\(636\) −414.188 + 91.1697i −0.651239 + 0.143349i
\(637\) 723.672 614.693i 1.13606 0.964981i
\(638\) −58.3122 + 1075.51i −0.0913984 + 1.68574i
\(639\) 105.177 + 198.384i 0.164596 + 0.310461i
\(640\) 286.081 1299.68i 0.447002 2.03075i
\(641\) −485.112 + 224.437i −0.756805 + 0.350135i −0.760054 0.649860i \(-0.774828\pi\)
0.00324952 + 0.999995i \(0.498966\pi\)
\(642\) 319.236 530.574i 0.497252 0.826439i
\(643\) 540.957 1020.35i 0.841301 1.58686i 0.0319854 0.999488i \(-0.489817\pi\)
0.809316 0.587374i \(-0.199838\pi\)
\(644\) 132.541 + 112.581i 0.205808 + 0.174815i
\(645\) 207.731 219.299i 0.322063 0.339998i
\(646\) −16.2454 + 149.374i −0.0251477 + 0.231230i
\(647\) −148.456 + 372.596i −0.229453 + 0.575882i −0.997952 0.0639681i \(-0.979624\pi\)
0.768499 + 0.639850i \(0.221004\pi\)
\(648\) 227.147i 0.350536i
\(649\) −488.180 + 420.761i −0.752203 + 0.648323i
\(650\) 349.303 0.537389
\(651\) −122.213 48.6942i −0.187731 0.0747991i
\(652\) −972.447 105.760i −1.49148 0.162208i
\(653\) −252.757 239.424i −0.387071 0.366653i 0.469278 0.883050i \(-0.344514\pi\)
−0.856349 + 0.516397i \(0.827273\pi\)
\(654\) 666.289 784.416i 1.01879 1.19941i
\(655\) 746.668 + 395.858i 1.13995 + 0.604364i
\(656\) 3219.63 + 1937.19i 4.90797 + 2.95303i
\(657\) −130.595 282.276i −0.198774 0.429644i
\(658\) −259.774 57.1806i −0.394794 0.0869007i
\(659\) −561.060 + 297.455i −0.851381 + 0.451374i −0.836144 0.548510i \(-0.815195\pi\)
−0.0152373 + 0.999884i \(0.504850\pi\)
\(660\) 909.359 + 49.3040i 1.37782 + 0.0747031i
\(661\) −439.071 516.915i −0.664253 0.782019i 0.322092 0.946708i \(-0.395614\pi\)
−0.986346 + 0.164689i \(0.947338\pi\)
\(662\) −463.768 2106.92i −0.700557 3.18266i
\(663\) 24.3002 + 31.9664i 0.0366519 + 0.0482148i
\(664\) −434.243 + 411.337i −0.653981 + 0.619484i
\(665\) 15.8110 + 291.617i 0.0237759 + 0.438521i
\(666\) −114.657 + 68.9866i −0.172157 + 0.103583i
\(667\) 191.928 + 130.131i 0.287749 + 0.195098i
\(668\) 713.960 2571.45i 1.06880 3.84948i
\(669\) 234.989 25.5566i 0.351254 0.0382011i
\(670\) −994.012 755.628i −1.48360 1.12780i
\(671\) 261.135 + 120.814i 0.389173 + 0.180050i
\(672\) −276.079 + 187.187i −0.410833 + 0.278551i
\(673\) 57.9763 + 172.067i 0.0861460 + 0.255672i 0.982064 0.188547i \(-0.0603777\pi\)
−0.895918 + 0.444219i \(0.853481\pi\)
\(674\) −54.2108 330.671i −0.0804314 0.490610i
\(675\) −3.69585 + 22.5437i −0.00547533 + 0.0333980i
\(676\) −2645.30 891.305i −3.91317 1.31850i
\(677\) 226.582 + 816.076i 0.334686 + 1.20543i 0.919116 + 0.393986i \(0.128904\pi\)
−0.584430 + 0.811444i \(0.698682\pi\)
\(678\) 267.213 + 670.655i 0.394120 + 0.989166i
\(679\) 23.9399 9.53852i 0.0352576 0.0140479i
\(680\) −123.089 + 34.1755i −0.181013 + 0.0502581i
\(681\) −127.218 + 377.569i −0.186810 + 0.554433i
\(682\) −1714.73 281.116i −2.51427 0.412193i
\(683\) 551.777 90.4593i 0.807873 0.132444i 0.256329 0.966590i \(-0.417487\pi\)
0.551544 + 0.834146i \(0.314039\pi\)
\(684\) 1063.00 358.166i 1.55409 0.523634i
\(685\) 179.582 + 264.863i 0.262163 + 0.386662i
\(686\) 277.196 599.149i 0.404076 0.873395i
\(687\) 201.496 265.064i 0.293299 0.385828i
\(688\) 224.458 + 2063.86i 0.326248 + 2.99980i
\(689\) −462.556 128.428i −0.671344 0.186398i
\(690\) 151.531 223.492i 0.219610 0.323901i
\(691\) −467.068 776.274i −0.675931 1.12341i −0.985031 0.172377i \(-0.944855\pi\)
0.309100 0.951030i \(-0.399972\pi\)
\(692\) −2537.87 + 137.599i −3.66744 + 0.198843i
\(693\) −41.1224 43.4124i −0.0593396 0.0626441i
\(694\) 438.758 333.535i 0.632216 0.480598i
\(695\) −732.749 + 161.290i −1.05432 + 0.232072i
\(696\) −859.653 + 730.195i −1.23513 + 1.04913i
\(697\) 4.19809 77.4293i 0.00602309 0.111089i
\(698\) 95.6527 + 180.420i 0.137038 + 0.258481i
\(699\) 143.362 651.302i 0.205096 0.931762i
\(700\) 77.2083 35.7203i 0.110298 0.0510291i
\(701\) −202.847 + 337.134i −0.289368 + 0.480933i −0.967107 0.254369i \(-0.918132\pi\)
0.677740 + 0.735302i \(0.262960\pi\)
\(702\) 193.378 364.749i 0.275467 0.519586i
\(703\) −313.659 266.424i −0.446172 0.378982i
\(704\) −1406.14 + 1484.44i −1.99736 + 2.10858i
\(705\) −32.4240 + 298.133i −0.0459914 + 0.422884i
\(706\) 150.871 378.659i 0.213699 0.536344i
\(707\) 48.8586i 0.0691069i
\(708\) −1078.13 109.393i −1.52278 0.154510i
\(709\) −239.872 −0.338324 −0.169162 0.985588i \(-0.554106\pi\)
−0.169162 + 0.985588i \(0.554106\pi\)
\(710\) −1206.12 480.561i −1.69876 0.676847i
\(711\) −160.987 17.5084i −0.226423 0.0246250i
\(712\) 2431.08 + 2302.84i 3.41444 + 3.23433i
\(713\) −242.181 + 285.118i −0.339665 + 0.399884i
\(714\) 11.8993 + 6.30859i 0.0166656 + 0.00883556i
\(715\) 883.283 + 531.454i 1.23536 + 0.743292i
\(716\) 609.040 + 1316.42i 0.850615 + 1.83857i
\(717\) 636.455 + 140.094i 0.887665 + 0.195390i
\(718\) −606.226 + 321.401i −0.844326 + 0.447633i
\(719\) −195.200 10.5834i −0.271488 0.0147197i −0.0821077 0.996623i \(-0.526165\pi\)
−0.189380 + 0.981904i \(0.560648\pi\)
\(720\) 476.343 + 560.794i 0.661587 + 0.778880i
\(721\) −65.4773 297.466i −0.0908146 0.412575i
\(722\) 2040.40 + 2684.10i 2.82604 + 3.71759i
\(723\) −385.124 + 364.809i −0.532675 + 0.504577i
\(724\) 150.941 + 2783.94i 0.208482 + 3.84523i
\(725\) 97.1986 58.4825i 0.134067 0.0806655i
\(726\) 9.19346 + 6.23332i 0.0126632 + 0.00858584i
\(727\) −171.015 + 615.939i −0.235233 + 0.847233i 0.747818 + 0.663904i \(0.231101\pi\)
−0.983051 + 0.183330i \(0.941312\pi\)
\(728\) −951.854 + 103.520i −1.30749 + 0.142198i
\(729\) 21.4945 + 16.3397i 0.0294849 + 0.0224139i
\(730\) 1632.16 + 755.120i 2.23584 + 1.03441i
\(731\) 35.4606 24.0429i 0.0485097 0.0328904i
\(732\) 154.477 + 458.472i 0.211035 + 0.626328i
\(733\) 76.0480 + 463.872i 0.103749 + 0.632841i 0.986596 + 0.163180i \(0.0521753\pi\)
−0.882847 + 0.469660i \(0.844376\pi\)
\(734\) −58.9843 + 359.788i −0.0803601 + 0.490175i
\(735\) −340.264 114.648i −0.462944 0.155984i
\(736\) 253.747 + 913.912i 0.344764 + 1.24173i
\(737\) 291.032 + 730.435i 0.394887 + 0.991093i
\(738\) −740.627 + 295.093i −1.00356 + 0.399855i
\(739\) −184.607 + 51.2559i −0.249807 + 0.0693585i −0.390174 0.920741i \(-0.627585\pi\)
0.140368 + 0.990099i \(0.455171\pi\)
\(740\) 179.384 532.391i 0.242410 0.719448i
\(741\) 1252.97 + 205.415i 1.69092 + 0.277213i
\(742\) −158.895 + 26.0494i −0.214144 + 0.0351071i
\(743\) 1257.67 423.760i 1.69270 0.570336i 0.702708 0.711478i \(-0.251974\pi\)
0.989989 + 0.141142i \(0.0450774\pi\)
\(744\) −1021.15 1506.08i −1.37251 2.02430i
\(745\) −139.006 + 300.456i −0.186585 + 0.403297i
\(746\) 61.5483 80.9654i 0.0825045 0.108533i
\(747\) −7.68701 70.6809i −0.0102905 0.0946197i
\(748\) 124.458 + 34.5557i 0.166388 + 0.0461975i
\(749\) 95.7950 141.287i 0.127897 0.188634i
\(750\) −455.345 756.789i −0.607127 1.00905i
\(751\) −638.895 + 34.6399i −0.850726 + 0.0461250i −0.474344 0.880340i \(-0.657315\pi\)
−0.376382 + 0.926465i \(0.622832\pi\)
\(752\) −1417.41 1496.34i −1.88485 1.98981i
\(753\) 383.519 291.544i 0.509322 0.387176i
\(754\) −2002.05 + 440.685i −2.65524 + 0.584464i
\(755\) −185.107 + 157.231i −0.245174 + 0.208253i
\(756\) 5.44340 100.398i 0.00720027 0.132801i
\(757\) 289.182 + 545.455i 0.382010 + 0.720548i 0.997725 0.0674216i \(-0.0214772\pi\)
−0.615714 + 0.787970i \(0.711132\pi\)
\(758\) −331.490 + 1505.97i −0.437322 + 1.98677i
\(759\) −154.321 + 71.3966i −0.203322 + 0.0940667i
\(760\) −2082.53 + 3461.19i −2.74017 + 4.55420i
\(761\) 193.810 365.564i 0.254678 0.480373i −0.722899 0.690954i \(-0.757191\pi\)
0.977576 + 0.210581i \(0.0675355\pi\)
\(762\) 428.113 + 363.643i 0.561829 + 0.477222i
\(763\) 195.117 205.983i 0.255724 0.269964i
\(764\) 6.06795 55.7938i 0.00794234 0.0730286i
\(765\) 5.62037 14.1061i 0.00734689 0.0184393i
\(766\) 437.307i 0.570896i
\(767\) −1020.20 681.028i −1.33012 0.887911i
\(768\) −643.767 −0.838239
\(769\) 813.647 + 324.187i 1.05806 + 0.421569i 0.833286 0.552842i \(-0.186457\pi\)
0.224773 + 0.974411i \(0.427836\pi\)
\(770\) 343.729 + 37.3828i 0.446401 + 0.0485490i
\(771\) 48.2299 + 45.6858i 0.0625550 + 0.0592553i
\(772\) 994.806 1171.18i 1.28861 1.51707i
\(773\) 750.014 + 397.633i 0.970265 + 0.514402i 0.876609 0.481203i \(-0.159800\pi\)
0.0936553 + 0.995605i \(0.470145\pi\)