Properties

Label 29.3.f.a.15.3
Level $29$
Weight $3$
Character 29.15
Analytic conductor $0.790$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 29 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 29.f (of order \(28\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.790192766645\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(4\) over \(\Q(\zeta_{28})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{28}]$

Embedding invariants

Embedding label 15.3
Character \(\chi\) \(=\) 29.15
Dual form 29.3.f.a.2.3

$q$-expansion

\(f(q)\) \(=\) \(q+(0.415096 - 0.0467701i) q^{2} +(2.68233 - 1.68542i) q^{3} +(-3.72959 + 0.851255i) q^{4} +(0.738700 + 0.589093i) q^{5} +(1.03460 - 0.825065i) q^{6} +(-0.577468 + 2.53005i) q^{7} +(-3.08546 + 1.07965i) q^{8} +(0.449302 - 0.932984i) q^{9} +O(q^{10})\) \(q+(0.415096 - 0.0467701i) q^{2} +(2.68233 - 1.68542i) q^{3} +(-3.72959 + 0.851255i) q^{4} +(0.738700 + 0.589093i) q^{5} +(1.03460 - 0.825065i) q^{6} +(-0.577468 + 2.53005i) q^{7} +(-3.08546 + 1.07965i) q^{8} +(0.449302 - 0.932984i) q^{9} +(0.334184 + 0.209981i) q^{10} +(-8.65125 - 3.02720i) q^{11} +(-8.56928 + 8.56928i) q^{12} +(-4.51239 - 9.37008i) q^{13} +(-0.121374 + 1.07722i) q^{14} +(2.97431 + 0.335124i) q^{15} +(12.5564 - 6.04684i) q^{16} +(21.4949 + 21.4949i) q^{17} +(0.142868 - 0.408292i) q^{18} +(14.2589 - 22.6929i) q^{19} +(-3.25652 - 1.56826i) q^{20} +(2.71524 + 7.75971i) q^{21} +(-3.73269 - 0.851961i) q^{22} +(-2.27710 - 2.85539i) q^{23} +(-6.45655 + 8.09626i) q^{24} +(-5.36438 - 23.5029i) q^{25} +(-2.31132 - 3.67844i) q^{26} +(2.82493 + 25.0719i) q^{27} -9.92764i q^{28} +(-24.3191 + 15.7981i) q^{29} +1.25030 q^{30} +(21.7090 - 2.44602i) q^{31} +(16.0007 - 10.0539i) q^{32} +(-28.3076 + 6.46103i) q^{33} +(9.92777 + 7.91713i) q^{34} +(-1.91701 + 1.52877i) q^{35} +(-0.881504 + 3.86212i) q^{36} +(-46.0478 + 16.1128i) q^{37} +(4.85746 - 10.0866i) q^{38} +(-27.8962 - 17.5284i) q^{39} +(-2.91524 - 1.02009i) q^{40} +(-25.3355 + 25.3355i) q^{41} +(1.49001 + 3.09404i) q^{42} +(2.78030 - 24.6759i) q^{43} +(34.8426 + 3.92581i) q^{44} +(0.881514 - 0.424515i) q^{45} +(-1.07876 - 1.07876i) q^{46} +(7.49184 - 21.4104i) q^{47} +(23.4889 - 37.3824i) q^{48} +(38.0798 + 18.3383i) q^{49} +(-3.32597 - 9.50507i) q^{50} +(93.8843 + 21.4285i) q^{51} +(24.8057 + 31.1054i) q^{52} +(-18.6271 + 23.3576i) q^{53} +(2.34523 + 10.2751i) q^{54} +(-4.60737 - 7.33259i) q^{55} +(-0.949813 - 8.42982i) q^{56} -84.9020i q^{57} +(-9.35591 + 7.69514i) q^{58} +18.2577 q^{59} +(-11.3782 + 1.28202i) q^{60} +(-78.8333 + 49.5342i) q^{61} +(8.89694 - 2.03067i) q^{62} +(2.10104 + 1.67552i) q^{63} +(-37.4125 + 29.8355i) q^{64} +(2.18655 - 9.57990i) q^{65} +(-11.4482 + 4.00590i) q^{66} +(24.5454 - 50.9691i) q^{67} +(-98.4648 - 61.8696i) q^{68} +(-10.9205 - 3.82123i) q^{69} +(-0.724244 + 0.724244i) q^{70} +(56.1438 + 116.584i) q^{71} +(-0.379006 + 3.36377i) q^{72} +(47.2614 + 5.32509i) q^{73} +(-18.3607 + 8.84204i) q^{74} +(-54.0012 - 54.0012i) q^{75} +(-33.8624 + 96.7732i) q^{76} +(12.6548 - 20.1400i) q^{77} +(-12.3994 - 5.97125i) q^{78} +(-13.7375 - 39.2594i) q^{79} +(12.8375 + 2.93009i) q^{80} +(55.6449 + 69.7765i) q^{81} +(-9.33174 + 11.7016i) q^{82} +(-29.4538 - 129.046i) q^{83} +(-16.7322 - 26.6292i) q^{84} +(3.21577 + 28.5408i) q^{85} -10.3729i q^{86} +(-38.6056 + 83.3636i) q^{87} +29.9614 q^{88} +(32.3276 - 3.64244i) q^{89} +(0.346059 - 0.217443i) q^{90} +(26.3125 - 6.00567i) q^{91} +(10.9233 + 8.71105i) q^{92} +(54.1082 - 43.1499i) q^{93} +(2.10847 - 9.23779i) q^{94} +(23.9012 - 8.36341i) q^{95} +(25.9741 - 53.9358i) q^{96} +(-36.1089 - 22.6888i) q^{97} +(16.6645 + 5.83115i) q^{98} +(-6.71135 + 6.71135i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q - 16q^{2} - 12q^{3} - 14q^{4} - 14q^{5} - 14q^{6} - 10q^{7} + 28q^{8} - 14q^{9} + O(q^{10}) \) \( 48q - 16q^{2} - 12q^{3} - 14q^{4} - 14q^{5} - 14q^{6} - 10q^{7} + 28q^{8} - 14q^{9} - 20q^{10} - 8q^{11} - 68q^{12} - 14q^{13} + 26q^{14} - 4q^{15} + 18q^{16} - 26q^{17} - 34q^{18} + 2q^{19} + 46q^{20} + 218q^{21} + 154q^{22} + 56q^{23} + 154q^{24} - 34q^{25} + 110q^{26} + 126q^{27} - 170q^{29} + 24q^{30} - 88q^{31} - 132q^{32} - 224q^{33} - 224q^{34} - 210q^{35} - 434q^{36} - 56q^{37} - 294q^{38} - 232q^{39} - 492q^{40} - 34q^{41} - 14q^{42} + 176q^{43} + 126q^{44} + 114q^{45} + 744q^{46} + 208q^{47} + 640q^{48} + 506q^{49} + 732q^{50} + 322q^{51} + 690q^{52} - 14q^{53} - 36q^{54} + 284q^{55} + 332q^{56} - 508q^{58} - 44q^{59} - 316q^{60} - 30q^{61} - 504q^{62} - 686q^{63} - 896q^{64} - 554q^{65} - 608q^{66} - 574q^{67} - 796q^{68} - 806q^{69} - 1066q^{70} + 224q^{71} + 748q^{72} - 22q^{73} + 820q^{74} + 768q^{75} + 514q^{76} + 436q^{77} + 282q^{78} + 564q^{79} + 1162q^{80} + 670q^{81} - 18q^{82} - 126q^{83} + 572q^{84} + 38q^{85} - 118q^{87} - 384q^{88} - 160q^{89} - 828q^{90} - 434q^{91} - 1022q^{92} - 406q^{93} - 2q^{94} - 642q^{95} - 1176q^{96} + 604q^{97} - 102q^{98} + 316q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{27}{28}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.415096 0.0467701i 0.207548 0.0233851i −0.00757815 0.999971i \(-0.502412\pi\)
0.215126 + 0.976586i \(0.430984\pi\)
\(3\) 2.68233 1.68542i 0.894110 0.561807i −0.00477622 0.999989i \(-0.501520\pi\)
0.898886 + 0.438182i \(0.144377\pi\)
\(4\) −3.72959 + 0.851255i −0.932398 + 0.212814i
\(5\) 0.738700 + 0.589093i 0.147740 + 0.117819i 0.694571 0.719425i \(-0.255594\pi\)
−0.546831 + 0.837243i \(0.684166\pi\)
\(6\) 1.03460 0.825065i 0.172433 0.137511i
\(7\) −0.577468 + 2.53005i −0.0824954 + 0.361436i −0.999280 0.0379466i \(-0.987918\pi\)
0.916784 + 0.399383i \(0.130775\pi\)
\(8\) −3.08546 + 1.07965i −0.385682 + 0.134956i
\(9\) 0.449302 0.932984i 0.0499224 0.103665i
\(10\) 0.334184 + 0.209981i 0.0334184 + 0.0209981i
\(11\) −8.65125 3.02720i −0.786477 0.275200i −0.0929879 0.995667i \(-0.529642\pi\)
−0.693489 + 0.720467i \(0.743928\pi\)
\(12\) −8.56928 + 8.56928i −0.714107 + 0.714107i
\(13\) −4.51239 9.37008i −0.347107 0.720775i 0.652198 0.758049i \(-0.273847\pi\)
−0.999305 + 0.0372733i \(0.988133\pi\)
\(14\) −0.121374 + 1.07722i −0.00866957 + 0.0769445i
\(15\) 2.97431 + 0.335124i 0.198287 + 0.0223416i
\(16\) 12.5564 6.04684i 0.784774 0.377927i
\(17\) 21.4949 + 21.4949i 1.26441 + 1.26441i 0.948936 + 0.315469i \(0.102162\pi\)
0.315469 + 0.948936i \(0.397838\pi\)
\(18\) 0.142868 0.408292i 0.00793709 0.0226829i
\(19\) 14.2589 22.6929i 0.750467 1.19436i −0.225030 0.974352i \(-0.572248\pi\)
0.975498 0.220010i \(-0.0706090\pi\)
\(20\) −3.25652 1.56826i −0.162826 0.0784128i
\(21\) 2.71524 + 7.75971i 0.129297 + 0.369510i
\(22\) −3.73269 0.851961i −0.169668 0.0387255i
\(23\) −2.27710 2.85539i −0.0990042 0.124147i 0.729861 0.683595i \(-0.239585\pi\)
−0.828866 + 0.559448i \(0.811013\pi\)
\(24\) −6.45655 + 8.09626i −0.269023 + 0.337344i
\(25\) −5.36438 23.5029i −0.214575 0.940115i
\(26\) −2.31132 3.67844i −0.0888969 0.141479i
\(27\) 2.82493 + 25.0719i 0.104627 + 0.928589i
\(28\) 9.92764i 0.354558i
\(29\) −24.3191 + 15.7981i −0.838591 + 0.544761i
\(30\) 1.25030 0.0416766
\(31\) 21.7090 2.44602i 0.700291 0.0789039i 0.245362 0.969431i \(-0.421093\pi\)
0.454929 + 0.890528i \(0.349665\pi\)
\(32\) 16.0007 10.0539i 0.500022 0.314185i
\(33\) −28.3076 + 6.46103i −0.857807 + 0.195789i
\(34\) 9.92777 + 7.91713i 0.291993 + 0.232857i
\(35\) −1.91701 + 1.52877i −0.0547718 + 0.0436790i
\(36\) −0.881504 + 3.86212i −0.0244862 + 0.107281i
\(37\) −46.0478 + 16.1128i −1.24454 + 0.435482i −0.870608 0.491976i \(-0.836275\pi\)
−0.373927 + 0.927458i \(0.621989\pi\)
\(38\) 4.85746 10.0866i 0.127828 0.265437i
\(39\) −27.8962 17.5284i −0.715288 0.449445i
\(40\) −2.91524 1.02009i −0.0728810 0.0255021i
\(41\) −25.3355 + 25.3355i −0.617940 + 0.617940i −0.945003 0.327063i \(-0.893941\pi\)
0.327063 + 0.945003i \(0.393941\pi\)
\(42\) 1.49001 + 3.09404i 0.0354764 + 0.0736675i
\(43\) 2.78030 24.6759i 0.0646582 0.573857i −0.919057 0.394124i \(-0.871048\pi\)
0.983715 0.179733i \(-0.0575234\pi\)
\(44\) 34.8426 + 3.92581i 0.791877 + 0.0892231i
\(45\) 0.881514 0.424515i 0.0195892 0.00943366i
\(46\) −1.07876 1.07876i −0.0234513 0.0234513i
\(47\) 7.49184 21.4104i 0.159401 0.455541i −0.836289 0.548289i \(-0.815279\pi\)
0.995690 + 0.0927479i \(0.0295651\pi\)
\(48\) 23.4889 37.3824i 0.489352 0.778800i
\(49\) 38.0798 + 18.3383i 0.777138 + 0.374250i
\(50\) −3.32597 9.50507i −0.0665193 0.190101i
\(51\) 93.8843 + 21.4285i 1.84087 + 0.420166i
\(52\) 24.8057 + 31.1054i 0.477033 + 0.598181i
\(53\) −18.6271 + 23.3576i −0.351454 + 0.440709i −0.925863 0.377859i \(-0.876660\pi\)
0.574409 + 0.818568i \(0.305232\pi\)
\(54\) 2.34523 + 10.2751i 0.0434303 + 0.190280i
\(55\) −4.60737 7.33259i −0.0837704 0.133320i
\(56\) −0.949813 8.42982i −0.0169609 0.150533i
\(57\) 84.9020i 1.48951i
\(58\) −9.35591 + 7.69514i −0.161309 + 0.132675i
\(59\) 18.2577 0.309453 0.154726 0.987957i \(-0.450550\pi\)
0.154726 + 0.987957i \(0.450550\pi\)
\(60\) −11.3782 + 1.28202i −0.189637 + 0.0213670i
\(61\) −78.8333 + 49.5342i −1.29235 + 0.812037i −0.989987 0.141156i \(-0.954918\pi\)
−0.302362 + 0.953193i \(0.597775\pi\)
\(62\) 8.89694 2.03067i 0.143499 0.0327527i
\(63\) 2.10104 + 1.67552i 0.0333499 + 0.0265956i
\(64\) −37.4125 + 29.8355i −0.584570 + 0.466179i
\(65\) 2.18655 9.57990i 0.0336392 0.147383i
\(66\) −11.4482 + 4.00590i −0.173458 + 0.0606955i
\(67\) 24.5454 50.9691i 0.366349 0.760732i −0.633567 0.773688i \(-0.718410\pi\)
0.999916 + 0.0129558i \(0.00412406\pi\)
\(68\) −98.4648 61.8696i −1.44801 0.909846i
\(69\) −10.9205 3.82123i −0.158267 0.0553802i
\(70\) −0.724244 + 0.724244i −0.0103463 + 0.0103463i
\(71\) 56.1438 + 116.584i 0.790758 + 1.64203i 0.766436 + 0.642321i \(0.222028\pi\)
0.0243218 + 0.999704i \(0.492257\pi\)
\(72\) −0.379006 + 3.36377i −0.00526397 + 0.0467190i
\(73\) 47.2614 + 5.32509i 0.647417 + 0.0729464i 0.429566 0.903036i \(-0.358667\pi\)
0.217851 + 0.975982i \(0.430095\pi\)
\(74\) −18.3607 + 8.84204i −0.248117 + 0.119487i
\(75\) −54.0012 54.0012i −0.720016 0.720016i
\(76\) −33.8624 + 96.7732i −0.445558 + 1.27333i
\(77\) 12.6548 20.1400i 0.164348 0.261558i
\(78\) −12.3994 5.97125i −0.158967 0.0765545i
\(79\) −13.7375 39.2594i −0.173892 0.496954i 0.823644 0.567107i \(-0.191937\pi\)
−0.997536 + 0.0701522i \(0.977652\pi\)
\(80\) 12.8375 + 2.93009i 0.160469 + 0.0366261i
\(81\) 55.6449 + 69.7765i 0.686974 + 0.861438i
\(82\) −9.33174 + 11.7016i −0.113802 + 0.142703i
\(83\) −29.4538 129.046i −0.354865 1.55477i −0.765786 0.643095i \(-0.777650\pi\)
0.410921 0.911671i \(-0.365207\pi\)
\(84\) −16.7322 26.6292i −0.199193 0.317014i
\(85\) 3.21577 + 28.5408i 0.0378326 + 0.335774i
\(86\) 10.3729i 0.120615i
\(87\) −38.6056 + 83.3636i −0.443742 + 0.958203i
\(88\) 29.9614 0.340470
\(89\) 32.3276 3.64244i 0.363231 0.0409263i 0.0715370 0.997438i \(-0.477210\pi\)
0.291694 + 0.956512i \(0.405781\pi\)
\(90\) 0.346059 0.217443i 0.00384510 0.00241603i
\(91\) 26.3125 6.00567i 0.289149 0.0659963i
\(92\) 10.9233 + 8.71105i 0.118732 + 0.0946853i
\(93\) 54.1082 43.1499i 0.581809 0.463977i
\(94\) 2.10847 9.23779i 0.0224305 0.0982744i
\(95\) 23.9012 8.36341i 0.251592 0.0880359i
\(96\) 25.9741 53.9358i 0.270564 0.561831i
\(97\) −36.1089 22.6888i −0.372257 0.233905i 0.332890 0.942966i \(-0.391976\pi\)
−0.705147 + 0.709061i \(0.749119\pi\)
\(98\) 16.6645 + 5.83115i 0.170046 + 0.0595015i
\(99\) −6.71135 + 6.71135i −0.0677914 + 0.0677914i
\(100\) 40.0139 + 83.0897i 0.400139 + 0.830897i
\(101\) 10.9637 97.3053i 0.108551 0.963419i −0.814873 0.579639i \(-0.803194\pi\)
0.923425 0.383780i \(-0.125378\pi\)
\(102\) 39.9733 + 4.50390i 0.391895 + 0.0441559i
\(103\) −66.1244 + 31.8438i −0.641985 + 0.309164i −0.726405 0.687267i \(-0.758810\pi\)
0.0844205 + 0.996430i \(0.473096\pi\)
\(104\) 24.0392 + 24.0392i 0.231146 + 0.231146i
\(105\) −2.56545 + 7.33162i −0.0244328 + 0.0698250i
\(106\) −6.63959 + 10.5668i −0.0626376 + 0.0996872i
\(107\) 55.3820 + 26.6706i 0.517589 + 0.249258i 0.674394 0.738372i \(-0.264405\pi\)
−0.156805 + 0.987630i \(0.550119\pi\)
\(108\) −31.8784 91.1033i −0.295171 0.843549i
\(109\) 154.567 + 35.2790i 1.41805 + 0.323660i 0.861755 0.507325i \(-0.169366\pi\)
0.556294 + 0.830985i \(0.312223\pi\)
\(110\) −2.25545 2.82824i −0.0205041 0.0257113i
\(111\) −96.3585 + 120.830i −0.868095 + 1.08856i
\(112\) 8.04790 + 35.2602i 0.0718562 + 0.314823i
\(113\) −46.5316 74.0546i −0.411784 0.655351i 0.574858 0.818253i \(-0.305057\pi\)
−0.986642 + 0.162902i \(0.947914\pi\)
\(114\) −3.97088 35.2425i −0.0348323 0.309145i
\(115\) 3.45070i 0.0300061i
\(116\) 77.2523 79.6222i 0.665968 0.686398i
\(117\) −10.7696 −0.0920475
\(118\) 7.57871 0.853915i 0.0642263 0.00723657i
\(119\) −66.7958 + 41.9706i −0.561309 + 0.352694i
\(120\) −9.53890 + 2.17719i −0.0794909 + 0.0181433i
\(121\) −28.9215 23.0641i −0.239020 0.190612i
\(122\) −30.4067 + 24.2485i −0.249235 + 0.198759i
\(123\) −25.2572 + 110.659i −0.205343 + 0.899669i
\(124\) −78.8837 + 27.6026i −0.636159 + 0.222602i
\(125\) 20.1314 41.8033i 0.161051 0.334426i
\(126\) 0.950499 + 0.597238i 0.00754365 + 0.00473999i
\(127\) −171.713 60.0851i −1.35207 0.473111i −0.445546 0.895259i \(-0.646990\pi\)
−0.906527 + 0.422148i \(0.861276\pi\)
\(128\) −67.5837 + 67.5837i −0.527998 + 0.527998i
\(129\) −34.1315 70.8748i −0.264585 0.549417i
\(130\) 0.459576 4.07885i 0.00353520 0.0313757i
\(131\) −72.7489 8.19683i −0.555335 0.0625712i −0.170163 0.985416i \(-0.554429\pi\)
−0.385172 + 0.922845i \(0.625858\pi\)
\(132\) 100.076 48.1940i 0.758151 0.365106i
\(133\) 49.1801 + 49.1801i 0.369775 + 0.369775i
\(134\) 7.80488 22.3051i 0.0582454 0.166456i
\(135\) −12.6829 + 20.1848i −0.0939476 + 0.149517i
\(136\) −89.5284 43.1146i −0.658297 0.317019i
\(137\) 65.2470 + 186.465i 0.476255 + 1.36106i 0.892188 + 0.451664i \(0.149169\pi\)
−0.415933 + 0.909395i \(0.636545\pi\)
\(138\) −4.71176 1.07543i −0.0341432 0.00779296i
\(139\) −38.5551 48.3466i −0.277375 0.347817i 0.623557 0.781778i \(-0.285687\pi\)
−0.900932 + 0.433961i \(0.857116\pi\)
\(140\) 5.84830 7.33354i 0.0417736 0.0523824i
\(141\) −15.9900 70.0568i −0.113404 0.496856i
\(142\) 28.7577 + 45.7677i 0.202519 + 0.322308i
\(143\) 10.6727 + 94.7228i 0.0746343 + 0.662397i
\(144\) 14.4318i 0.100221i
\(145\) −27.2711 2.65621i −0.188076 0.0183187i
\(146\) 19.8671 0.136076
\(147\) 133.050 14.9912i 0.905103 0.101981i
\(148\) 158.023 99.2927i 1.06773 0.670897i
\(149\) −29.6561 + 6.76882i −0.199034 + 0.0454283i −0.320876 0.947121i \(-0.603977\pi\)
0.121841 + 0.992550i \(0.461120\pi\)
\(150\) −24.9414 19.8901i −0.166276 0.132601i
\(151\) 110.649 88.2399i 0.732777 0.584370i −0.184399 0.982851i \(-0.559034\pi\)
0.917177 + 0.398481i \(0.130463\pi\)
\(152\) −19.4948 + 85.4124i −0.128255 + 0.561924i
\(153\) 29.7121 10.3967i 0.194197 0.0679523i
\(154\) 4.31101 8.95191i 0.0279936 0.0581293i
\(155\) 17.4774 + 10.9818i 0.112757 + 0.0708501i
\(156\) 118.963 + 41.6269i 0.762582 + 0.266839i
\(157\) 19.5784 19.5784i 0.124703 0.124703i −0.642001 0.766704i \(-0.721895\pi\)
0.766704 + 0.642001i \(0.221895\pi\)
\(158\) −7.53854 15.6539i −0.0477123 0.0990755i
\(159\) −10.5966 + 94.0472i −0.0666451 + 0.591492i
\(160\) 17.7424 + 1.99909i 0.110890 + 0.0124943i
\(161\) 8.53923 4.11228i 0.0530387 0.0255421i
\(162\) 26.3615 + 26.3615i 0.162725 + 0.162725i
\(163\) 34.1257 97.5257i 0.209360 0.598317i −0.790541 0.612410i \(-0.790200\pi\)
0.999901 + 0.0140927i \(0.00448600\pi\)
\(164\) 72.9242 116.058i 0.444660 0.707672i
\(165\) −24.7170 11.9031i −0.149800 0.0721398i
\(166\) −18.2617 52.1888i −0.110010 0.314390i
\(167\) −262.410 59.8934i −1.57132 0.358643i −0.653904 0.756577i \(-0.726870\pi\)
−0.917414 + 0.397934i \(0.869727\pi\)
\(168\) −16.7555 21.0107i −0.0997351 0.125064i
\(169\) 37.9331 47.5666i 0.224456 0.281459i
\(170\) 2.66971 + 11.6968i 0.0157042 + 0.0688045i
\(171\) −14.7656 23.4993i −0.0863483 0.137423i
\(172\) 10.6361 + 94.3977i 0.0618376 + 0.548824i
\(173\) 126.379i 0.730512i 0.930907 + 0.365256i \(0.119019\pi\)
−0.930907 + 0.365256i \(0.880981\pi\)
\(174\) −12.1261 + 36.4095i −0.0696903 + 0.209250i
\(175\) 62.5612 0.357493
\(176\) −126.933 + 14.3020i −0.721213 + 0.0812612i
\(177\) 48.9732 30.7719i 0.276685 0.173852i
\(178\) 13.2487 3.02393i 0.0744309 0.0169884i
\(179\) 220.984 + 176.229i 1.23455 + 0.984520i 0.999923 + 0.0124338i \(0.00395789\pi\)
0.234626 + 0.972086i \(0.424614\pi\)
\(180\) −2.92632 + 2.33366i −0.0162573 + 0.0129648i
\(181\) 51.3580 225.014i 0.283746 1.24317i −0.609204 0.793014i \(-0.708511\pi\)
0.892949 0.450157i \(-0.148632\pi\)
\(182\) 10.6414 3.72357i 0.0584690 0.0204592i
\(183\) −127.971 + 265.734i −0.699295 + 1.45210i
\(184\) 10.1087 + 6.35171i 0.0549386 + 0.0345202i
\(185\) −43.5075 15.2239i −0.235175 0.0822914i
\(186\) 20.4420 20.4420i 0.109903 0.109903i
\(187\) −120.888 251.027i −0.646461 1.34239i
\(188\) −9.71575 + 86.2297i −0.0516795 + 0.458669i
\(189\) −65.0645 7.33101i −0.344257 0.0387884i
\(190\) 9.53017 4.58949i 0.0501588 0.0241552i
\(191\) 68.5806 + 68.5806i 0.359061 + 0.359061i 0.863467 0.504406i \(-0.168289\pi\)
−0.504406 + 0.863467i \(0.668289\pi\)
\(192\) −50.0674 + 143.084i −0.260767 + 0.745231i
\(193\) −16.7176 + 26.6059i −0.0866198 + 0.137855i −0.887224 0.461339i \(-0.847369\pi\)
0.800604 + 0.599194i \(0.204512\pi\)
\(194\) −16.0499 7.72920i −0.0827312 0.0398413i
\(195\) −10.2811 29.3817i −0.0527236 0.150675i
\(196\) −157.633 35.9786i −0.804248 0.183564i
\(197\) −63.4701 79.5889i −0.322183 0.404005i 0.594194 0.804322i \(-0.297471\pi\)
−0.916377 + 0.400317i \(0.868900\pi\)
\(198\) −2.47197 + 3.09975i −0.0124847 + 0.0156553i
\(199\) 34.8200 + 152.557i 0.174975 + 0.766616i 0.983902 + 0.178707i \(0.0571915\pi\)
−0.808927 + 0.587909i \(0.799951\pi\)
\(200\) 41.9264 + 66.7254i 0.209632 + 0.333627i
\(201\) −20.0654 178.085i −0.0998278 0.885996i
\(202\) 40.9039i 0.202494i
\(203\) −25.9264 70.6516i −0.127716 0.348037i
\(204\) −368.391 −1.80584
\(205\) −33.6403 + 3.79036i −0.164099 + 0.0184895i
\(206\) −25.9587 + 16.3109i −0.126013 + 0.0791792i
\(207\) −3.68714 + 0.841565i −0.0178123 + 0.00406553i
\(208\) −113.319 90.3686i −0.544801 0.434465i
\(209\) −192.053 + 153.157i −0.918914 + 0.732810i
\(210\) −0.722007 + 3.16332i −0.00343813 + 0.0150634i
\(211\) −19.1966 + 6.71718i −0.0909791 + 0.0318350i −0.375385 0.926869i \(-0.622489\pi\)
0.284406 + 0.958704i \(0.408204\pi\)
\(212\) 49.5881 102.971i 0.233906 0.485711i
\(213\) 347.089 + 218.090i 1.62952 + 1.02390i
\(214\) 24.2363 + 8.48064i 0.113254 + 0.0396291i
\(215\) 16.5902 16.5902i 0.0771637 0.0771637i
\(216\) −35.7850 74.3084i −0.165671 0.344020i
\(217\) −6.34771 + 56.3375i −0.0292521 + 0.259620i
\(218\) 65.8104 + 7.41505i 0.301882 + 0.0340140i
\(219\) 135.746 65.3717i 0.619844 0.298501i
\(220\) 23.4255 + 23.4255i 0.106480 + 0.106480i
\(221\) 104.415 298.402i 0.472468 1.35024i
\(222\) −34.3469 + 54.6627i −0.154716 + 0.246228i
\(223\) 228.933 + 110.248i 1.02661 + 0.494387i 0.869884 0.493256i \(-0.164193\pi\)
0.156721 + 0.987643i \(0.449908\pi\)
\(224\) 16.1970 + 46.2884i 0.0723081 + 0.206645i
\(225\) −24.3380 5.55500i −0.108169 0.0246889i
\(226\) −22.7787 28.5635i −0.100791 0.126387i
\(227\) 261.380 327.760i 1.15145 1.44388i 0.275617 0.961268i \(-0.411118\pi\)
0.875836 0.482609i \(-0.160311\pi\)
\(228\) 72.2733 + 316.650i 0.316988 + 1.38882i
\(229\) 140.386 + 223.424i 0.613041 + 0.975649i 0.998596 + 0.0529641i \(0.0168669\pi\)
−0.385556 + 0.922685i \(0.625990\pi\)
\(230\) −0.161390 1.43237i −0.000701694 0.00622771i
\(231\) 75.3507i 0.326194i
\(232\) 57.9793 75.0004i 0.249911 0.323277i
\(233\) 233.305 1.00131 0.500654 0.865648i \(-0.333093\pi\)
0.500654 + 0.865648i \(0.333093\pi\)
\(234\) −4.47041 + 0.503694i −0.0191043 + 0.00215254i
\(235\) 18.1470 11.4025i 0.0772211 0.0485212i
\(236\) −68.0938 + 15.5420i −0.288533 + 0.0658558i
\(237\) −103.017 82.1533i −0.434671 0.346638i
\(238\) −25.7637 + 20.5459i −0.108251 + 0.0863272i
\(239\) 37.0417 162.290i 0.154986 0.679038i −0.836406 0.548111i \(-0.815347\pi\)
0.991392 0.130928i \(-0.0417956\pi\)
\(240\) 39.3730 13.7772i 0.164054 0.0574050i
\(241\) −119.624 + 248.401i −0.496363 + 1.03071i 0.490841 + 0.871249i \(0.336689\pi\)
−0.987204 + 0.159460i \(0.949025\pi\)
\(242\) −13.0839 8.22116i −0.0540657 0.0339717i
\(243\) 52.5283 + 18.3804i 0.216166 + 0.0756397i
\(244\) 251.850 251.850i 1.03217 1.03217i
\(245\) 17.3266 + 35.9790i 0.0707207 + 0.146853i
\(246\) −5.30865 + 47.1155i −0.0215799 + 0.191527i
\(247\) −276.976 31.2077i −1.12136 0.126347i
\(248\) −64.3414 + 30.9852i −0.259441 + 0.124940i
\(249\) −296.501 296.501i −1.19077 1.19077i
\(250\) 6.40133 18.2940i 0.0256053 0.0731758i
\(251\) −222.330 + 353.836i −0.885777 + 1.40971i 0.0262849 + 0.999654i \(0.491632\pi\)
−0.912062 + 0.410052i \(0.865511\pi\)
\(252\) −9.26233 4.46050i −0.0367553 0.0177004i
\(253\) 11.0559 + 31.5959i 0.0436992 + 0.124885i
\(254\) −74.0878 16.9100i −0.291684 0.0665750i
\(255\) 56.7289 + 71.1358i 0.222466 + 0.278964i
\(256\) 94.4490 118.435i 0.368941 0.462638i
\(257\) 2.48412 + 10.8836i 0.00966583 + 0.0423487i 0.979531 0.201294i \(-0.0645147\pi\)
−0.969865 + 0.243643i \(0.921658\pi\)
\(258\) −17.4827 27.8235i −0.0677624 0.107843i
\(259\) −14.1752 125.808i −0.0547303 0.485745i
\(260\) 37.5904i 0.144579i
\(261\) 3.81273 + 29.7875i 0.0146082 + 0.114128i
\(262\) −30.5812 −0.116722
\(263\) −325.997 + 36.7310i −1.23953 + 0.139662i −0.707285 0.706928i \(-0.750080\pi\)
−0.532246 + 0.846590i \(0.678652\pi\)
\(264\) 80.3662 50.4975i 0.304418 0.191278i
\(265\) −27.5196 + 6.28117i −0.103848 + 0.0237025i
\(266\) 22.7146 + 18.1143i 0.0853934 + 0.0680990i
\(267\) 80.5742 64.2558i 0.301776 0.240658i
\(268\) −48.1567 + 210.988i −0.179689 + 0.787270i
\(269\) 292.071 102.200i 1.08577 0.379926i 0.272702 0.962099i \(-0.412083\pi\)
0.813066 + 0.582172i \(0.197797\pi\)
\(270\) −4.32059 + 8.97181i −0.0160022 + 0.0332289i
\(271\) 16.8213 + 10.5695i 0.0620712 + 0.0390019i 0.562710 0.826654i \(-0.309759\pi\)
−0.500639 + 0.865656i \(0.666902\pi\)
\(272\) 399.874 + 139.922i 1.47013 + 0.514419i
\(273\) 60.4569 60.4569i 0.221454 0.221454i
\(274\) 35.8048 + 74.3494i 0.130674 + 0.271348i
\(275\) −24.7394 + 219.568i −0.0899615 + 0.798430i
\(276\) 43.9817 + 4.95555i 0.159354 + 0.0179549i
\(277\) −278.671 + 134.201i −1.00603 + 0.484480i −0.862981 0.505236i \(-0.831406\pi\)
−0.143051 + 0.989715i \(0.545691\pi\)
\(278\) −18.2653 18.2653i −0.0657024 0.0657024i
\(279\) 7.47180 21.3532i 0.0267807 0.0765347i
\(280\) 4.26433 6.78663i 0.0152297 0.0242380i
\(281\) −275.413 132.632i −0.980118 0.472000i −0.125972 0.992034i \(-0.540205\pi\)
−0.854146 + 0.520034i \(0.825919\pi\)
\(282\) −9.91396 28.3325i −0.0351559 0.100470i
\(283\) −104.652 23.8861i −0.369794 0.0844032i 0.0335853 0.999436i \(-0.489307\pi\)
−0.403380 + 0.915033i \(0.632165\pi\)
\(284\) −308.636 387.017i −1.08675 1.36274i
\(285\) 50.0152 62.7171i 0.175492 0.220060i
\(286\) 8.86040 + 38.8199i 0.0309804 + 0.135734i
\(287\) −49.4697 78.7306i −0.172368 0.274323i
\(288\) −2.19100 19.4457i −0.00760763 0.0675196i
\(289\) 635.060i 2.19744i
\(290\) −11.4444 + 0.172888i −0.0394633 + 0.000596165i
\(291\) −135.096 −0.464248
\(292\) −180.799 + 20.3712i −0.619175 + 0.0697642i
\(293\) −230.684 + 144.948i −0.787318 + 0.494705i −0.864695 0.502297i \(-0.832488\pi\)
0.0773772 + 0.997002i \(0.475345\pi\)
\(294\) 54.5275 12.4456i 0.185468 0.0423318i
\(295\) 13.4870 + 10.7555i 0.0457185 + 0.0364593i
\(296\) 124.682 99.4308i 0.421224 0.335915i
\(297\) 51.4586 225.455i 0.173261 0.759108i
\(298\) −11.9936 + 4.19673i −0.0402469 + 0.0140830i
\(299\) −16.4801 + 34.2212i −0.0551173 + 0.114452i
\(300\) 247.372 + 155.434i 0.824572 + 0.518113i
\(301\) 60.8257 + 21.2838i 0.202079 + 0.0707104i
\(302\) 41.8032 41.8032i 0.138421 0.138421i
\(303\) −134.592 279.483i −0.444198 0.922388i
\(304\) 41.8199 371.162i 0.137565 1.22093i
\(305\) −87.4144 9.84924i −0.286605 0.0322926i
\(306\) 11.8471 5.70527i 0.0387161 0.0186447i
\(307\) −134.403 134.403i −0.437796 0.437796i 0.453473 0.891270i \(-0.350185\pi\)
−0.891270 + 0.453473i \(0.850185\pi\)
\(308\) −30.0530 + 85.8865i −0.0975746 + 0.278852i
\(309\) −123.697 + 196.863i −0.400315 + 0.637097i
\(310\) 7.76842 + 3.74108i 0.0250594 + 0.0120680i
\(311\) 60.8757 + 173.973i 0.195742 + 0.559398i 0.999361 0.0357461i \(-0.0113808\pi\)
−0.803619 + 0.595144i \(0.797095\pi\)
\(312\) 104.997 + 23.9649i 0.336529 + 0.0768106i
\(313\) 263.236 + 330.088i 0.841010 + 1.05459i 0.997756 + 0.0669540i \(0.0213281\pi\)
−0.156746 + 0.987639i \(0.550101\pi\)
\(314\) 7.21125 9.04262i 0.0229658 0.0287981i
\(315\) 0.564998 + 2.47542i 0.00179364 + 0.00785847i
\(316\) 84.6549 + 134.728i 0.267895 + 0.426353i
\(317\) −45.6880 405.492i −0.144126 1.27915i −0.832592 0.553886i \(-0.813144\pi\)
0.688466 0.725268i \(-0.258284\pi\)
\(318\) 39.5343i 0.124322i
\(319\) 258.215 63.0541i 0.809451 0.197662i
\(320\) −45.2125 −0.141289
\(321\) 193.504 21.8027i 0.602816 0.0679210i
\(322\) 3.35227 2.10637i 0.0104108 0.00654153i
\(323\) 794.274 181.288i 2.45905 0.561263i
\(324\) −266.930 212.870i −0.823860 0.657006i
\(325\) −196.018 + 156.319i −0.603131 + 0.480981i
\(326\) 9.60417 42.0786i 0.0294607 0.129076i
\(327\) 474.060 165.881i 1.44973 0.507281i
\(328\) 50.8182 105.525i 0.154934 0.321723i
\(329\) 49.8432 + 31.3186i 0.151499 + 0.0951932i
\(330\) −10.8166 3.78491i −0.0327777 0.0114694i
\(331\) 53.9759 53.9759i 0.163069 0.163069i −0.620856 0.783925i \(-0.713215\pi\)
0.783925 + 0.620856i \(0.213215\pi\)
\(332\) 219.702 + 456.215i 0.661752 + 1.37414i
\(333\) −5.65634 + 50.2014i −0.0169860 + 0.150755i
\(334\) −111.727 12.5886i −0.334511 0.0376904i
\(335\) 48.1572 23.1913i 0.143753 0.0692277i
\(336\) 81.0153 + 81.0153i 0.241117 + 0.241117i
\(337\) −100.512 + 287.246i −0.298255 + 0.852363i 0.693063 + 0.720877i \(0.256261\pi\)
−0.991318 + 0.131486i \(0.958025\pi\)
\(338\) 13.5212 21.5189i 0.0400035 0.0636652i
\(339\) −249.626 120.214i −0.736361 0.354613i
\(340\) −36.2890 103.708i −0.106732 0.305024i
\(341\) −195.215 44.5565i −0.572478 0.130664i
\(342\) −7.22820 9.06387i −0.0211351 0.0265025i
\(343\) −147.670 + 185.172i −0.430525 + 0.539861i
\(344\) 18.0627 + 79.1380i 0.0525080 + 0.230052i
\(345\) −5.81587 9.25591i −0.0168576 0.0268287i
\(346\) 5.91075 + 52.4593i 0.0170831 + 0.151617i
\(347\) 3.76060i 0.0108375i 0.999985 + 0.00541873i \(0.00172484\pi\)
−0.999985 + 0.00541873i \(0.998275\pi\)
\(348\) 73.0194 343.776i 0.209826 0.987861i
\(349\) 227.541 0.651979 0.325989 0.945373i \(-0.394303\pi\)
0.325989 + 0.945373i \(0.394303\pi\)
\(350\) 25.9689 2.92600i 0.0741970 0.00835999i
\(351\) 222.179 139.604i 0.632988 0.397732i
\(352\) −168.861 + 38.5415i −0.479720 + 0.109493i
\(353\) −317.199 252.957i −0.898579 0.716593i 0.0609682 0.998140i \(-0.480581\pi\)
−0.959548 + 0.281547i \(0.909153\pi\)
\(354\) 18.8894 15.0638i 0.0533599 0.0425531i
\(355\) −27.2053 + 119.194i −0.0766347 + 0.335759i
\(356\) −117.468 + 41.1039i −0.329967 + 0.115460i
\(357\) −108.430 + 225.158i −0.303726 + 0.630694i
\(358\) 99.9720 + 62.8166i 0.279251 + 0.175465i
\(359\) −237.999 83.2794i −0.662949 0.231976i −0.0222319 0.999753i \(-0.507077\pi\)
−0.640717 + 0.767777i \(0.721363\pi\)
\(360\) −2.26155 + 2.26155i −0.00628207 + 0.00628207i
\(361\) −155.019 321.900i −0.429415 0.891690i
\(362\) 10.7946 95.8045i 0.0298193 0.264653i
\(363\) −116.450 13.1207i −0.320798 0.0361452i
\(364\) −93.0227 + 44.7974i −0.255557 + 0.123070i
\(365\) 31.7750 + 31.7750i 0.0870549 + 0.0870549i
\(366\) −40.6919 + 116.291i −0.111180 + 0.317734i
\(367\) −246.647 + 392.537i −0.672063 + 1.06958i 0.320429 + 0.947273i \(0.396173\pi\)
−0.992492 + 0.122310i \(0.960970\pi\)
\(368\) −45.8582 22.0841i −0.124615 0.0600112i
\(369\) 12.2544 + 35.0209i 0.0332096 + 0.0949077i
\(370\) −18.7718 4.28454i −0.0507346 0.0115799i
\(371\) −48.3394 60.6157i −0.130295 0.163385i
\(372\) −165.070 + 206.991i −0.443737 + 0.556429i
\(373\) −55.7998 244.475i −0.149597 0.655429i −0.992997 0.118142i \(-0.962306\pi\)
0.843399 0.537287i \(-0.180551\pi\)
\(374\) −61.9209 98.5465i −0.165564 0.263493i
\(375\) −16.4570 146.060i −0.0438854 0.389494i
\(376\) 74.1495i 0.197206i
\(377\) 257.767 + 156.585i 0.683731 + 0.415345i
\(378\) −27.3509 −0.0723570
\(379\) 487.332 54.9091i 1.28584 0.144879i 0.557545 0.830147i \(-0.311743\pi\)
0.728291 + 0.685268i \(0.240315\pi\)
\(380\) −82.0226 + 51.5382i −0.215849 + 0.135627i
\(381\) −561.860 + 128.241i −1.47470 + 0.336590i
\(382\) 31.6751 + 25.2600i 0.0829190 + 0.0661257i
\(383\) 172.689 137.715i 0.450886 0.359570i −0.371564 0.928407i \(-0.621178\pi\)
0.822450 + 0.568838i \(0.192607\pi\)
\(384\) −67.3749 + 295.189i −0.175455 + 0.768721i
\(385\) 21.2124 7.42255i 0.0550972 0.0192794i
\(386\) −5.69506 + 11.8259i −0.0147540 + 0.0306371i
\(387\) −21.7730 13.6809i −0.0562610 0.0353511i
\(388\) 153.986 + 53.8819i 0.396870 + 0.138871i
\(389\) −291.445 + 291.445i −0.749217 + 0.749217i −0.974332 0.225115i \(-0.927724\pi\)
0.225115 + 0.974332i \(0.427724\pi\)
\(390\) −5.64183 11.7154i −0.0144662 0.0300395i
\(391\) 12.4303 110.322i 0.0317911 0.282154i
\(392\) −137.292 15.4691i −0.350236 0.0394621i
\(393\) −208.952 + 100.626i −0.531684 + 0.256045i
\(394\) −30.0686 30.0686i −0.0763162 0.0763162i
\(395\) 12.9796 37.0935i 0.0328597 0.0939077i
\(396\) 19.3175 30.7437i 0.0487817 0.0776356i
\(397\) −65.4912 31.5389i −0.164965 0.0794430i 0.349579 0.936907i \(-0.386325\pi\)
−0.514544 + 0.857464i \(0.672039\pi\)
\(398\) 21.5888 + 61.6972i 0.0542431 + 0.155018i
\(399\) 214.806 + 49.0281i 0.538362 + 0.122878i
\(400\) −209.475 262.674i −0.523688 0.656684i
\(401\) 324.268 406.619i 0.808649 1.01401i −0.190826 0.981624i \(-0.561117\pi\)
0.999475 0.0323898i \(-0.0103118\pi\)
\(402\) −16.6581 72.9841i −0.0414382 0.181552i
\(403\) −120.879 192.378i −0.299948 0.477365i
\(404\) 41.9416 + 372.242i 0.103816 + 0.921392i
\(405\) 84.3239i 0.208207i
\(406\) −14.0663 28.1146i −0.0346462 0.0692479i
\(407\) 447.148 1.09864
\(408\) −312.811 + 35.2453i −0.766694 + 0.0863856i
\(409\) 250.417 157.347i 0.612266 0.384712i −0.189909 0.981802i \(-0.560819\pi\)
0.802174 + 0.597090i \(0.203676\pi\)
\(410\) −13.7867 + 3.14673i −0.0336261 + 0.00767494i
\(411\) 489.286 + 390.192i 1.19048 + 0.949373i
\(412\) 219.510 175.053i 0.532791 0.424887i
\(413\) −10.5432 + 46.1929i −0.0255284 + 0.111847i
\(414\) −1.49116 + 0.521779i −0.00360183 + 0.00126033i
\(415\) 54.2624 112.677i 0.130753 0.271511i
\(416\) −166.407 104.561i −0.400018 0.251348i
\(417\) −184.902 64.6999i −0.443410 0.155156i
\(418\) −72.5574 + 72.5574i −0.173582 + 0.173582i
\(419\) 59.7192 + 124.008i 0.142528 + 0.295962i 0.959997 0.280010i \(-0.0903379\pi\)
−0.817469 + 0.575972i \(0.804624\pi\)
\(420\) 3.32699 29.5278i 0.00792140 0.0703044i
\(421\) 432.517 + 48.7330i 1.02736 + 0.115755i 0.609523 0.792768i \(-0.291361\pi\)
0.417833 + 0.908524i \(0.362790\pi\)
\(422\) −7.65428 + 3.68611i −0.0181381 + 0.00873485i
\(423\) −16.6095 16.6095i −0.0392660 0.0392660i
\(424\) 32.2550 92.1795i 0.0760731 0.217404i
\(425\) 389.885 620.498i 0.917376 1.46000i
\(426\) 154.275 + 74.2951i 0.362149 + 0.174402i
\(427\) −79.8005 228.057i −0.186886 0.534091i
\(428\) −229.256 52.3262i −0.535645 0.122257i
\(429\) 188.275 + 236.090i 0.438870 + 0.550326i
\(430\) 6.11061 7.66246i 0.0142107 0.0178197i
\(431\) 38.3560 + 168.049i 0.0889930 + 0.389904i 0.999734 0.0230748i \(-0.00734557\pi\)
−0.910741 + 0.412979i \(0.864488\pi\)
\(432\) 187.077 + 297.731i 0.433048 + 0.689192i
\(433\) 5.55493 + 49.3014i 0.0128289 + 0.113860i 0.998495 0.0548506i \(-0.0174682\pi\)
−0.985666 + 0.168711i \(0.946040\pi\)
\(434\) 23.6824i 0.0545677i
\(435\) −77.6269 + 38.8384i −0.178453 + 0.0892836i
\(436\) −606.505 −1.39107
\(437\) −97.2658 + 10.9592i −0.222576 + 0.0250783i
\(438\) 53.2902 33.4844i 0.121667 0.0764485i
\(439\) 190.067 43.3816i 0.432955 0.0988191i −0.000488576 1.00000i \(-0.500156\pi\)
0.433443 + 0.901181i \(0.357298\pi\)
\(440\) 22.1324 + 17.6500i 0.0503010 + 0.0401137i
\(441\) 34.2186 27.2884i 0.0775932 0.0618785i
\(442\) 29.3862 128.749i 0.0664845 0.291288i
\(443\) −228.033 + 79.7920i −0.514746 + 0.180117i −0.575137 0.818057i \(-0.695051\pi\)
0.0603905 + 0.998175i \(0.480765\pi\)
\(444\) 256.521 532.672i 0.577751 1.19971i
\(445\) 26.0261 + 16.3533i 0.0584856 + 0.0367490i
\(446\) 100.186 + 35.0565i 0.224631 + 0.0786019i
\(447\) −68.1392 + 68.1392i −0.152437 + 0.152437i
\(448\) −53.8807 111.884i −0.120269 0.249742i
\(449\) −55.8565 + 495.740i −0.124402 + 1.10410i 0.764059 + 0.645147i \(0.223204\pi\)
−0.888461 + 0.458952i \(0.848225\pi\)
\(450\) −10.3624 1.16757i −0.0230276 0.00259459i
\(451\) 295.880 142.488i 0.656053 0.315938i
\(452\) 236.583 + 236.583i 0.523415 + 0.523415i
\(453\) 148.077 423.179i 0.326880 0.934171i
\(454\) 93.1685 148.277i 0.205217 0.326601i
\(455\) 22.9750 + 11.0642i 0.0504944 + 0.0243168i
\(456\) 91.6642 + 261.961i 0.201018 + 0.574476i
\(457\) 204.659 + 46.7120i 0.447831 + 0.102215i 0.440488 0.897759i \(-0.354805\pi\)
0.00734312 + 0.999973i \(0.497663\pi\)
\(458\) 68.7234 + 86.1764i 0.150051 + 0.188158i
\(459\) −478.197 + 599.639i −1.04182 + 1.30640i
\(460\) 2.93743 + 12.8697i 0.00638571 + 0.0279776i
\(461\) −129.473 206.054i −0.280852 0.446973i 0.676272 0.736652i \(-0.263594\pi\)
−0.957124 + 0.289679i \(0.906451\pi\)
\(462\) −3.52417 31.2778i −0.00762806 0.0677009i
\(463\) 710.071i 1.53363i −0.641868 0.766815i \(-0.721840\pi\)
0.641868 0.766815i \(-0.278160\pi\)
\(464\) −209.832 + 345.421i −0.452225 + 0.744441i
\(465\) 65.3890 0.140622
\(466\) 96.8439 10.9117i 0.207820 0.0234156i
\(467\) −676.037 + 424.782i −1.44762 + 0.909598i −0.447735 + 0.894166i \(0.647769\pi\)
−0.999881 + 0.0154315i \(0.995088\pi\)
\(468\) 40.1661 9.16765i 0.0858250 0.0195890i
\(469\) 114.780 + 91.5341i 0.244734 + 0.195169i
\(470\) 6.99944 5.58187i 0.0148924 0.0118763i
\(471\) 19.5179 85.5136i 0.0414393 0.181558i
\(472\) −56.3333 + 19.7119i −0.119350 + 0.0417625i
\(473\) −98.7519 + 205.061i −0.208778 + 0.433532i
\(474\) −46.6043 29.2834i −0.0983213 0.0617794i
\(475\) −609.838 213.391i −1.28387 0.449245i
\(476\) 213.393 213.393i 0.448306 0.448306i
\(477\) 13.4231 + 27.8734i 0.0281407 + 0.0584347i
\(478\) 7.78553 69.0985i 0.0162877 0.144558i
\(479\) −483.953 54.5284i −1.01034 0.113838i −0.408753 0.912645i \(-0.634036\pi\)
−0.601587 + 0.798807i \(0.705465\pi\)
\(480\) 50.9603 24.5412i 0.106167 0.0511275i
\(481\) 358.764 + 358.764i 0.745872 + 0.745872i
\(482\) −38.0376 + 108.705i −0.0789161 + 0.225529i
\(483\) 15.9741 25.4227i 0.0330727 0.0526349i
\(484\) 127.499 + 61.4001i 0.263427 + 0.126860i
\(485\) −13.3079 38.0317i −0.0274389 0.0784159i
\(486\) 22.6640 + 5.17290i 0.0466337 + 0.0106438i
\(487\) −72.6889 91.1490i −0.149259 0.187164i 0.701581 0.712589i \(-0.252478\pi\)
−0.850840 + 0.525425i \(0.823906\pi\)
\(488\) 189.757 237.948i 0.388847 0.487598i
\(489\) −72.8353 319.112i −0.148947 0.652581i
\(490\) 8.87495 + 14.1244i 0.0181121 + 0.0288253i
\(491\) 75.7150 + 671.989i 0.154206 + 1.36861i 0.797650 + 0.603120i \(0.206076\pi\)
−0.643445 + 0.765493i \(0.722495\pi\)
\(492\) 434.214i 0.882550i
\(493\) −862.315 183.159i −1.74912 0.371520i
\(494\) −116.431 −0.235691
\(495\) −8.91129 + 1.00406i −0.0180026 + 0.00202841i
\(496\) 257.796 161.984i 0.519751 0.326581i
\(497\) −327.384 + 74.7233i −0.658721 + 0.150349i
\(498\) −136.944 109.209i −0.274988 0.219295i
\(499\) −611.573 + 487.713i −1.22560 + 0.977381i −0.225602 + 0.974220i \(0.572435\pi\)
−0.999995 + 0.00316117i \(0.998994\pi\)
\(500\) −39.4967 + 173.046i −0.0789934 + 0.346093i
\(501\) −804.816 + 281.617i −1.60642 + 0.562110i
\(502\) −75.7395 + 157.275i −0.150875 + 0.313296i
\(503\) −418.298 262.834i −0.831606 0.522533i 0.0476598 0.998864i \(-0.484824\pi\)
−0.879266 + 0.476331i \(0.841967\pi\)
\(504\) −8.29164 2.90137i −0.0164517 0.00575669i
\(505\) 65.4208 65.4208i 0.129546 0.129546i
\(506\) 6.06701 + 12.5983i 0.0119901 + 0.0248978i
\(507\) 21.5794 191.522i 0.0425629 0.377756i
\(508\) 691.569 + 77.9211i 1.36136 + 0.153388i
\(509\) 658.293 317.017i 1.29331 0.622823i 0.344531 0.938775i \(-0.388038\pi\)
0.948775 + 0.315952i \(0.102324\pi\)
\(510\) 26.8750 + 26.8750i 0.0526961 + 0.0526961i
\(511\) −40.7647 + 116.499i −0.0797744 + 0.227982i
\(512\) 237.068 377.292i 0.463023 0.736898i
\(513\) 609.234 + 293.392i 1.18759 + 0.571914i
\(514\) 1.54018 + 4.40157i 0.00299645 + 0.00856337i
\(515\) −67.6051 15.4304i −0.131272 0.0299620i
\(516\) 187.629 + 235.280i 0.363622 + 0.455968i
\(517\) −129.627 + 162.548i −0.250730 + 0.314406i
\(518\) −11.7681 51.5595i −0.0227184 0.0995356i
\(519\) 213.001 + 338.989i 0.410407 + 0.653158i
\(520\) 3.59641 + 31.9190i 0.00691618 + 0.0613828i
\(521\) 412.503i 0.791753i −0.918304 0.395876i \(-0.870441\pi\)
0.918304 0.395876i \(-0.129559\pi\)
\(522\) 2.97581 + 12.1864i 0.00570079 + 0.0233455i
\(523\) −54.7428 −0.104671 −0.0523354 0.998630i \(-0.516666\pi\)
−0.0523354 + 0.998630i \(0.516666\pi\)
\(524\) 278.301 31.3570i 0.531110 0.0598417i
\(525\) 167.810 105.442i 0.319638 0.200842i
\(526\) −133.602 + 30.4938i −0.253996 + 0.0579730i
\(527\) 519.210 + 414.056i 0.985219 + 0.785686i
\(528\) −316.373 + 252.299i −0.599190 + 0.477838i
\(529\) 114.745 502.733i 0.216910 0.950346i
\(530\) −11.1295 + 3.89439i −0.0209991 + 0.00734790i
\(531\) 8.20321 17.0341i 0.0154486 0.0320794i
\(532\) −225.287 141.557i −0.423471 0.266084i
\(533\) 351.720 + 123.072i 0.659887 + 0.230904i
\(534\) 30.4408 30.4408i 0.0570053 0.0570053i
\(535\) 25.1992 + 52.3267i 0.0471013 + 0.0978069i
\(536\) −20.7051 + 183.763i −0.0386290 + 0.342842i
\(537\) 889.772 + 100.253i 1.65693 + 0.186691i
\(538\) 116.458 56.0832i 0.216465 0.104244i
\(539\) −273.924 273.924i −0.508208 0.508208i
\(540\) 30.1198 86.0774i 0.0557774 0.159403i
\(541\) −6.00071 + 9.55008i −0.0110919 + 0.0176526i −0.852224 0.523177i \(-0.824747\pi\)
0.841132 + 0.540829i \(0.181890\pi\)
\(542\) 7.47680 + 3.60064i 0.0137948 + 0.00664324i
\(543\) −241.484 690.121i −0.444722 1.27094i
\(544\) 560.041 + 127.826i 1.02949 + 0.234974i
\(545\) 93.3962 + 117.115i 0.171369 + 0.214890i
\(546\) 22.2679 27.9230i 0.0407836 0.0511410i
\(547\) −11.9903 52.5331i −0.0219202 0.0960385i 0.962785 0.270270i \(-0.0871130\pi\)
−0.984705 + 0.174232i \(0.944256\pi\)
\(548\) −402.074 639.897i −0.733712 1.16770i
\(549\) 10.7948 + 95.8061i 0.0196626 + 0.174510i
\(550\) 92.2991i 0.167817i
\(551\) 11.7400 + 777.134i 0.0213068 + 1.41041i
\(552\) 37.8202 0.0685148
\(553\) 107.261 12.0854i 0.193962 0.0218543i
\(554\) −109.399 + 68.7398i −0.197471 + 0.124079i
\(555\) −142.360 + 32.4928i −0.256505 + 0.0585455i
\(556\) 184.950 + 147.493i 0.332644 + 0.265275i
\(557\) 543.971 433.802i 0.976608 0.778819i 0.00137506 0.999999i \(-0.499562\pi\)
0.975233 + 0.221180i \(0.0709909\pi\)
\(558\) 2.10283 9.21309i 0.00376851 0.0165109i
\(559\) −243.761 + 85.2955i −0.436066 + 0.152586i
\(560\) −14.8265 + 30.7876i −0.0264760 + 0.0549779i
\(561\) −747.348 469.590i −1.33217 0.837059i
\(562\) −120.526 42.1740i −0.214460 0.0750426i
\(563\) −319.915 + 319.915i −0.568233 + 0.568233i −0.931633 0.363400i \(-0.881616\pi\)
0.363400 + 0.931633i \(0.381616\pi\)
\(564\) 119.272 + 247.672i 0.211476 + 0.439134i
\(565\) 9.25221 82.1156i 0.0163756 0.145337i
\(566\) −44.5578 5.02045i −0.0787239 0.00887006i
\(567\) −208.671 + 100.491i −0.368027 + 0.177232i
\(568\) −299.099 299.099i −0.526582 0.526582i
\(569\) 173.583 496.072i 0.305067 0.871832i −0.684660 0.728863i \(-0.740049\pi\)
0.989727 0.142969i \(-0.0456650\pi\)
\(570\) 17.8278 28.3728i 0.0312769 0.0497769i
\(571\) 619.219 + 298.200i 1.08445 + 0.522242i 0.888736 0.458419i \(-0.151584\pi\)
0.195711 + 0.980662i \(0.437299\pi\)
\(572\) −120.438 344.192i −0.210556 0.601735i
\(573\) 299.543 + 68.3687i 0.522762 + 0.119317i
\(574\) −24.2170 30.3671i −0.0421898 0.0529044i
\(575\) −54.8946 + 68.8357i −0.0954689 + 0.119714i
\(576\) 11.0265 + 48.3104i 0.0191433 + 0.0838722i
\(577\) −30.2263 48.1049i −0.0523853 0.0833707i 0.819505 0.573072i \(-0.194249\pi\)
−0.871890 + 0.489702i \(0.837106\pi\)
\(578\) 29.7019 + 263.611i 0.0513873 + 0.456075i
\(579\) 99.5421i 0.171921i
\(580\) 103.971 13.3081i 0.179261 0.0229449i
\(581\) 343.501 0.591223
\(582\) −56.0780 + 6.31847i −0.0963539 + 0.0108565i
\(583\) 231.855 145.684i 0.397694 0.249888i
\(584\) −151.572 + 34.5954i −0.259542 + 0.0592387i
\(585\) −7.95547 6.34428i −0.0135991 0.0108449i
\(586\) −88.9769 + 70.9567i −0.151838 + 0.121087i
\(587\) −71.8016 + 314.583i −0.122320 + 0.535917i 0.876221 + 0.481910i \(0.160057\pi\)
−0.998541 + 0.0540076i \(0.982800\pi\)
\(588\) −483.462 + 169.171i −0.822214 + 0.287705i
\(589\) 254.039 527.518i 0.431306 0.895616i
\(590\) 6.10142 + 3.83378i 0.0103414 + 0.00649793i
\(591\) −304.388 106.510i −0.515040 0.180220i
\(592\) −480.762 + 480.762i −0.812099 + 0.812099i
\(593\) 209.288 + 434.591i 0.352931 + 0.732869i 0.999552 0.0299430i \(-0.00953257\pi\)
−0.646621 + 0.762812i \(0.723818\pi\)
\(594\) 10.8157 95.9923i 0.0182083 0.161603i
\(595\) −74.0666 8.34530i −0.124482 0.0140257i
\(596\) 104.843 50.4899i 0.175912 0.0847146i
\(597\) 350.521 + 350.521i 0.587137 + 0.587137i
\(598\) −5.24029 + 14.9759i −0.00876302 + 0.0250433i
\(599\) 452.046 719.427i 0.754668 1.20105i −0.219586 0.975593i \(-0.570471\pi\)
0.974254 0.225454i \(-0.0723865\pi\)
\(600\) 224.921 + 108.316i 0.374868 + 0.180527i
\(601\) 241.988 + 691.562i 0.402642 + 1.15069i 0.949584 + 0.313514i \(0.101506\pi\)
−0.546941 + 0.837171i \(0.684208\pi\)
\(602\) 26.2440 + 5.99001i 0.0435946 + 0.00995019i
\(603\) −36.5251 45.8010i −0.0605722 0.0759552i
\(604\) −337.563 + 423.290i −0.558878 + 0.700811i
\(605\) −7.77737 34.0749i −0.0128552 0.0563221i
\(606\) −68.9402 109.718i −0.113763 0.181052i
\(607\) −27.7513 246.300i −0.0457188 0.405766i −0.995640 0.0932767i \(-0.970266\pi\)
0.949921 0.312489i \(-0.101163\pi\)
\(608\) 506.460i 0.832993i
\(609\) −188.621 145.814i −0.309722 0.239432i
\(610\) −36.7461 −0.0602395
\(611\) −234.424 + 26.4132i −0.383672 + 0.0432295i
\(612\) −101.964 + 64.0681i −0.166607 + 0.104686i
\(613\) 1.19680 0.273162i 0.00195236 0.000445614i −0.221545 0.975150i \(-0.571110\pi\)
0.223497 + 0.974705i \(0.428253\pi\)
\(614\) −62.0765 49.5043i −0.101102 0.0806260i
\(615\) −83.8461 + 66.8651i −0.136335 + 0.108724i
\(616\) −17.3017 + 75.8038i −0.0280872 + 0.123058i
\(617\) −285.233 + 99.8075i −0.462291 + 0.161762i −0.551368 0.834262i \(-0.685894\pi\)
0.0890772 + 0.996025i \(0.471608\pi\)
\(618\) −42.1390 + 87.5025i −0.0681861 + 0.141590i
\(619\) −272.432 171.181i −0.440117 0.276544i 0.293691 0.955900i \(-0.405116\pi\)
−0.733808 + 0.679356i \(0.762259\pi\)
\(620\) −74.5319 26.0798i −0.120213 0.0420642i
\(621\) 65.1574 65.1574i 0.104923 0.104923i
\(622\) 33.4060 + 69.3683i 0.0537074 + 0.111525i
\(623\) −9.45256 + 83.8938i −0.0151727 + 0.134661i
\(624\) −456.267 51.4090i −0.731197 0.0823862i
\(625\) −503.501 + 242.473i −0.805601 + 0.387957i
\(626\) 124.707 + 124.707i 0.199212 + 0.199212i
\(627\) −257.016 + 734.508i −0.409913 + 1.17146i
\(628\) −56.3533 + 89.6858i −0.0897346 + 0.142812i
\(629\) −1336.14 643.449i −2.12422 1.02297i
\(630\) 0.350304 + 1.00111i 0.000556039 + 0.00158907i
\(631\) 680.376 + 155.291i 1.07825 + 0.246103i 0.724527 0.689247i \(-0.242058\pi\)
0.353723 + 0.935350i \(0.384916\pi\)
\(632\) 84.7726 + 106.301i 0.134134 + 0.168199i
\(633\) −40.1703 + 50.3720i −0.0634603 + 0.0795766i
\(634\) −37.9298 166.181i −0.0598262 0.262116i
\(635\) −91.4488 145.540i −0.144014 0.229197i
\(636\) −40.5373 359.778i −0.0637378 0.565689i
\(637\) 439.560i 0.690047i
\(638\) 104.235 38.2503i 0.163378 0.0599534i
\(639\) 133.996 0.209697
\(640\) −89.7372 + 10.1110i −0.140214 + 0.0157984i
\(641\) −989.853 + 621.966i −1.54423 + 0.970306i −0.553748 + 0.832684i \(0.686803\pi\)
−0.990485 + 0.137621i \(0.956054\pi\)
\(642\) 79.3031 18.1004i 0.123525 0.0281938i
\(643\) −234.086 186.677i −0.364052 0.290322i 0.424330 0.905508i \(-0.360510\pi\)
−0.788382 + 0.615186i \(0.789081\pi\)
\(644\) −28.3473 + 22.6062i −0.0440175 + 0.0351028i
\(645\) 16.5389 72.4618i 0.0256418 0.112344i
\(646\) 321.221 112.400i 0.497247 0.173994i
\(647\) 493.455 1024.67i 0.762681 1.58372i −0.0484269 0.998827i \(-0.515421\pi\)
0.811108 0.584897i \(-0.198865\pi\)
\(648\) −247.024 155.215i −0.381210 0.239530i
\(649\) −157.952 55.2698i −0.243377 0.0851614i
\(650\) −74.0552 + 74.0552i −0.113931 + 0.113931i
\(651\) 77.9256 + 161.814i 0.119701 + 0.248563i
\(652\) −44.2558 + 392.781i −0.0678770 + 0.602425i
\(653\) 609.259 + 68.6470i 0.933015 + 0.105126i 0.565367 0.824839i \(-0.308735\pi\)
0.367648 + 0.929965i \(0.380163\pi\)
\(654\) 189.023 91.0285i 0.289025 0.139187i
\(655\) −48.9109 48.9109i −0.0746731 0.0746731i
\(656\) −164.923 + 471.322i −0.251407 + 0.718479i
\(657\) 26.2029 41.7016i 0.0398826 0.0634728i
\(658\) 22.1545 + 10.6691i 0.0336695 + 0.0162144i
\(659\) 176.059 + 503.147i 0.267161 + 0.763501i 0.996820 + 0.0796900i \(0.0253931\pi\)
−0.729659 + 0.683811i \(0.760321\pi\)
\(660\) 102.317 + 23.3531i 0.155026 + 0.0353836i
\(661\) 620.208 + 777.717i 0.938288 + 1.17658i 0.984098 + 0.177626i \(0.0568417\pi\)
−0.0458100 + 0.998950i \(0.514587\pi\)
\(662\) 19.8808 24.9297i 0.0300314 0.0376581i
\(663\) −222.856 976.397i −0.336133 1.47270i
\(664\) 230.202 + 366.365i 0.346690 + 0.551754i
\(665\) 7.35765 + 65.3010i 0.0110641 + 0.0981970i
\(666\) 21.1030i 0.0316861i
\(667\) 100.487 + 33.4669i 0.150655 + 0.0501752i
\(668\) 1029.67 1.54142
\(669\) 799.888 90.1258i 1.19565 0.134717i
\(670\) 18.9052 11.8789i 0.0282168 0.0177298i
\(671\) 831.957 189.889i 1.23988 0.282994i
\(672\) 121.461 + 96.8621i 0.180746 + 0.144140i
\(673\) 314.226 250.587i 0.466903 0.372343i −0.361594 0.932336i \(-0.617767\pi\)
0.828498 + 0.559992i \(0.189196\pi\)
\(674\) −28.2876 + 123.936i −0.0419697 + 0.183881i
\(675\) 574.108 200.889i 0.850530 0.297613i
\(676\) −100.984 + 209.695i −0.149384 + 0.310199i
\(677\) 424.331 + 266.625i 0.626781 + 0.393833i 0.807640 0.589676i \(-0.200745\pi\)
−0.180858 + 0.983509i \(0.557888\pi\)
\(678\) −109.241 38.2252i −0.161123 0.0563794i
\(679\) 78.2555 78.2555i 0.115251 0.115251i
\(680\) −40.7361 84.5893i −0.0599060 0.124396i
\(681\) 148.694 1319.69i 0.218346 1.93788i
\(682\) −83.1169 9.36503i −0.121872 0.0137317i
\(683\) −344.482 + 165.894i −0.504366 + 0.242890i −0.668724 0.743511i \(-0.733159\pi\)
0.164358 + 0.986401i \(0.447445\pi\)
\(684\) 75.0734 + 75.0734i 0.109756 + 0.109756i
\(685\) −61.6474 + 176.178i −0.0899963 + 0.257195i
\(686\) −52.6368 + 83.7709i −0.0767300 + 0.122115i
\(687\) 753.125 + 362.686i 1.09625 + 0.527927i
\(688\) −114.300 326.652i −0.166134 0.474784i
\(689\) 302.915 + 69.1384i 0.439645 + 0.100346i
\(690\) −2.84705 3.57009i −0.00412616 0.00517404i
\(691\) −495.980 + 621.939i −0.717771 + 0.900056i −0.998209 0.0598158i \(-0.980949\pi\)
0.280439 + 0.959872i \(0.409520\pi\)
\(692\) −107.580 471.341i −0.155463 0.681129i
\(693\) −13.1045 20.8557i −0.0189098 0.0300947i
\(694\) 0.175884 + 1.56101i 0.000253435 + 0.00224930i
\(695\) 58.4262i 0.0840664i
\(696\) 29.1125 298.895i 0.0418283 0.429447i
\(697\) −1089.17 −1.56265
\(698\) 94.4513 10.6421i 0.135317 0.0152466i
\(699\) 625.800 393.216i 0.895279 0.562541i
\(700\) −233.328 + 53.2556i −0.333326 + 0.0760794i
\(701\) −825.456 658.279i −1.17754 0.939057i −0.178548 0.983931i \(-0.557140\pi\)
−0.998993 + 0.0448739i \(0.985711\pi\)
\(702\) 85.6963 68.3405i 0.122074 0.0973511i
\(703\) −290.944 + 1274.71i −0.413860 + 1.81324i
\(704\) 413.983 144.859i 0.588044 0.205765i
\(705\) 29.4582 61.1705i 0.0417846 0.0867667i
\(706\) −143.499 90.1663i −0.203256 0.127714i
\(707\) 239.856 + 83.9294i 0.339259 + 0.118712i
\(708\) −156.455 + 156.455i −0.220982 + 0.220982i
\(709\) 313.200 + 650.367i 0.441749 + 0.917301i 0.996364 + 0.0851945i \(0.0271512\pi\)
−0.554615 + 0.832107i \(0.687135\pi\)
\(710\) −5.71810 + 50.7495i −0.00805366 + 0.0714782i
\(711\) −42.8007 4.82248i −0.0601978 0.00678267i
\(712\) −95.8127 + 46.1410i −0.134568 + 0.0648048i
\(713\) −56.4179 56.4179i −0.0791275 0.0791275i
\(714\) −34.4784 + 98.5335i −0.0482890 + 0.138002i
\(715\) −47.9167 + 76.2589i −0.0670163 + 0.106656i
\(716\) −974.197 469.149i −1.36061 0.655236i
\(717\) −174.169 497.747i −0.242914 0.694207i
\(718\) −102.687 23.4377i −0.143019 0.0326431i
\(719\) −684.608 858.472i −0.952167 1.19398i −0.980924 0.194394i \(-0.937726\pi\)
0.0287562 0.999586i \(-0.490845\pi\)
\(720\) 8.50166 10.6607i 0.0118079 0.0148066i
\(721\) −42.3818 185.687i −0.0587820 0.257541i
\(722\) −79.4031 126.369i −0.109977 0.175027i
\(723\) 97.7898 + 867.909i 0.135256 + 1.20043i
\(724\) 882.929i 1.21952i
\(725\) 501.757 + 486.823i 0.692079 + 0.671480i
\(726\) −48.9515 −0.0674263
\(727\) 31.1294 3.50744i 0.0428190 0.00482454i −0.0905290 0.995894i \(-0.528856\pi\)
0.133348 + 0.991069i \(0.457427\pi\)
\(728\) −74.7022 + 46.9385i −0.102613 + 0.0644759i
\(729\) −611.212 + 139.505i −0.838425 + 0.191365i
\(730\) 14.6758 + 11.7036i 0.0201039 + 0.0160323i
\(731\) 590.167 470.643i 0.807342 0.643834i
\(732\) 251.072 1100.02i 0.342994 1.50276i
\(733\) 143.446 50.1941i 0.195698 0.0684776i −0.230651 0.973037i \(-0.574085\pi\)
0.426348 + 0.904559i \(0.359800\pi\)
\(734\) −84.0234 + 174.476i −0.114473 + 0.237706i
\(735\) 107.115 + 67.3050i 0.145735 + 0.0915715i
\(736\) −65.1430 22.7945i −0.0885095 0.0309708i
\(737\) −366.642 + 366.642i −0.497479 + 0.497479i
\(738\) 6.72467 + 13.9639i 0.00911203 + 0.0189213i
\(739\) 125.579 1114.55i 0.169931 1.50818i −0.562191 0.827008i \(-0.690041\pi\)
0.732122 0.681174i \(-0.238530\pi\)
\(740\) 175.225 + 19.7431i 0.236790 + 0.0266798i
\(741\) −795.538 + 383.111i −1.07360 + 0.517019i
\(742\) −22.9005 22.9005i −0.0308632 0.0308632i
\(743\) −63.5004 + 181.474i −0.0854649 + 0.244245i −0.978682 0.205381i \(-0.934157\pi\)
0.893217 + 0.449625i \(0.148442\pi\)
\(744\) −120.362 + 191.555i −0.161777 + 0.257466i
\(745\) −25.8944 12.4701i −0.0347576 0.0167384i
\(746\) −34.5965 98.8710i −0.0463759 0.132535i
\(747\) −133.631 30.5004i −0.178890 0.0408306i
\(748\) 664.552 + 833.322i 0.888439 + 1.11407i
\(749\) −99.4592 + 124.718i −0.132789 + 0.166513i
\(750\) −13.6625 59.8593i −0.0182167 0.0798125i
\(751\) −192.970 307.110i −0.256950 0.408934i 0.693191 0.720754i \(-0.256204\pi\)
−0.950141 + 0.311820i \(0.899061\pi\)
\(752\) −35.3950 314.140i −0.0470679 0.417739i
\(753\) 1323.83i 1.75807i
\(754\) 114.322 + 52.9422i 0.151620 + 0.0702151i
\(755\) 133.718 0.177110
\(756\) 248.905 28.0448i 0.329239 0.0370964i
\(757\) −145.660 + 91.5245i −0.192418 + 0.120904i −0.624796 0.780788i \(-0.714818\pi\)
0.432377 + 0.901693i \(0.357675\pi\)
\(758\) 199.722 45.5852i 0.263485 0.0601387i
\(759\) 82.9079 + 66.1169i 0.109233 + 0.0871105i
\(760\) −64.7167 + 51.6098i −0.0851536 + 0.0679077i
\(761\) −64.7556 + 283.713i −0.0850928 + 0.372816i