Properties

Label 177.2.f.a.38.16
Level $177$
Weight $2$
Character 177.38
Analytic conductor $1.413$
Analytic rank $0$
Dimension $504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 177.f (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.41335211578\)
Analytic rank: \(0\)
Dimension: \(504\)
Relative dimension: \(18\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 38.16
Character \(\chi\) \(=\) 177.38
Dual form 177.2.f.a.14.16

$q$-expansion

\(f(q)\) \(=\) \(q+(1.60225 + 0.964041i) q^{2} +(1.54918 + 0.774625i) q^{3} +(0.701009 + 1.32224i) q^{4} +(-0.0291328 + 0.267871i) q^{5} +(1.73540 + 2.73461i) q^{6} +(-3.96067 - 1.33451i) q^{7} +(0.0509641 - 0.939978i) q^{8} +(1.79991 + 2.40007i) q^{9} +O(q^{10})\) \(q+(1.60225 + 0.964041i) q^{2} +(1.54918 + 0.774625i) q^{3} +(0.701009 + 1.32224i) q^{4} +(-0.0291328 + 0.267871i) q^{5} +(1.73540 + 2.73461i) q^{6} +(-3.96067 - 1.33451i) q^{7} +(0.0509641 - 0.939978i) q^{8} +(1.79991 + 2.40007i) q^{9} +(-0.304917 + 0.401111i) q^{10} +(-1.25346 - 1.84871i) q^{11} +(0.0617456 + 2.59141i) q^{12} +(0.0885345 + 0.0934648i) q^{13} +(-5.05946 - 5.95646i) q^{14} +(-0.252632 + 0.392414i) q^{15} +(2.66755 - 3.93435i) q^{16} +(-0.877671 - 2.60483i) q^{17} +(0.570144 + 5.58069i) q^{18} +(-1.29281 + 7.88577i) q^{19} +(-0.374613 + 0.149260i) q^{20} +(-5.10205 - 5.13542i) q^{21} +(-0.226117 - 4.17048i) q^{22} +(0.724703 - 2.61014i) q^{23} +(0.807083 - 1.41672i) q^{24} +(4.81220 + 1.05924i) q^{25} +(0.0517505 + 0.235105i) q^{26} +(0.929234 + 5.11239i) q^{27} +(-1.01193 - 6.17247i) q^{28} +(3.17115 + 5.27049i) q^{29} +(-0.783082 + 0.385197i) q^{30} +(-5.97230 + 0.979109i) q^{31} +(6.35825 - 2.94164i) q^{32} +(-0.509772 - 3.83495i) q^{33} +(1.10492 - 5.01970i) q^{34} +(0.472861 - 1.02207i) q^{35} +(-1.91172 + 4.06239i) q^{36} +(-6.76370 + 0.366717i) q^{37} +(-9.67360 + 11.3886i) q^{38} +(0.0647557 + 0.213375i) q^{39} +(0.250309 + 0.0410360i) q^{40} +(6.10233 - 1.69430i) q^{41} +(-3.22399 - 13.1468i) q^{42} +(-2.60106 - 1.76356i) q^{43} +(1.56576 - 2.95334i) q^{44} +(-0.695346 + 0.412224i) q^{45} +(3.67744 - 3.48346i) q^{46} +(5.39475 - 0.586714i) q^{47} +(7.18016 - 4.02865i) q^{48} +(8.33336 + 6.33486i) q^{49} +(6.68918 + 6.33633i) q^{50} +(0.658101 - 4.71522i) q^{51} +(-0.0615197 + 0.182584i) q^{52} +(-5.75917 - 7.57606i) q^{53} +(-3.43969 + 9.08714i) q^{54} +(0.531734 - 0.281907i) q^{55} +(-1.45626 + 3.65493i) q^{56} +(-8.11130 + 11.2150i) q^{57} +11.5018i q^{58} +(-1.76075 - 7.47662i) q^{59} +(-0.695964 - 0.0589551i) q^{60} +(-0.611098 + 1.01565i) q^{61} +(-10.5130 - 4.18877i) q^{62} +(-3.92596 - 11.9079i) q^{63} +(3.57226 + 0.388507i) q^{64} +(-0.0276158 + 0.0209930i) q^{65} +(2.88026 - 6.63598i) q^{66} +(6.57251 + 0.356351i) q^{67} +(2.82897 - 2.98651i) q^{68} +(3.14458 - 3.48221i) q^{69} +(1.74296 - 1.18176i) q^{70} +(0.857888 + 7.88815i) q^{71} +(2.34774 - 1.56956i) q^{72} +(-3.64114 + 3.09281i) q^{73} +(-11.1907 - 5.93291i) q^{74} +(6.63444 + 5.36861i) q^{75} +(-11.3332 + 3.81859i) q^{76} +(2.49742 + 8.99489i) q^{77} +(-0.101947 + 0.404307i) q^{78} +(-1.78551 - 4.48129i) q^{79} +(0.976186 + 0.829180i) q^{80} +(-2.52064 + 8.63981i) q^{81} +(11.4108 + 3.16820i) q^{82} +(-3.74619 - 1.73317i) q^{83} +(3.21370 - 10.3461i) q^{84} +(0.723329 - 0.159217i) q^{85} +(-2.46740 - 5.33319i) q^{86} +(0.830023 + 10.6214i) q^{87} +(-1.80163 + 1.08401i) q^{88} +(-8.05345 + 4.84560i) q^{89} +(-1.51152 - 0.00985581i) q^{90} +(-0.225927 - 0.488333i) q^{91} +(3.95927 - 0.871501i) q^{92} +(-10.0106 - 3.10948i) q^{93} +(9.20935 + 4.26070i) q^{94} +(-2.07471 - 0.576040i) q^{95} +(12.1287 + 0.368134i) q^{96} +(7.78525 + 6.61285i) q^{97} +(7.24506 + 18.1837i) q^{98} +(2.18092 - 6.33590i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 504q - 27q^{3} - 70q^{4} - 29q^{6} - 58q^{7} - 19q^{9} + O(q^{10}) \) \( 504q - 27q^{3} - 70q^{4} - 29q^{6} - 58q^{7} - 19q^{9} - 58q^{10} - 15q^{12} - 58q^{13} - 38q^{15} - 66q^{16} - 29q^{18} - 66q^{19} - 24q^{21} - 62q^{22} - 29q^{24} - 20q^{25} - 54q^{27} - 26q^{28} - 29q^{30} - 58q^{31} - 29q^{33} - 58q^{34} + 13q^{36} - 58q^{37} - 29q^{39} - 58q^{40} - 29q^{42} - 58q^{43} - q^{45} - 46q^{46} + 147q^{48} - 48q^{49} + 59q^{51} - 58q^{52} + 174q^{54} - 58q^{55} + 83q^{57} + 250q^{60} - 58q^{61} + 82q^{63} + 10q^{64} + 226q^{66} - 58q^{67} + 87q^{69} - 58q^{70} + 145q^{72} - 58q^{73} - 28q^{75} - 150q^{76} - 13q^{78} - 30q^{79} + 13q^{81} - 58q^{82} - 69q^{84} - 86q^{85} - 36q^{87} + 22q^{88} - 29q^{90} - 58q^{91} - 29q^{93} - 162q^{94} - 29q^{96} - 58q^{97} - 29q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{39}{58}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.60225 + 0.964041i 1.13296 + 0.681680i 0.953293 0.302047i \(-0.0976701\pi\)
0.179668 + 0.983727i \(0.442498\pi\)
\(3\) 1.54918 + 0.774625i 0.894419 + 0.447230i
\(4\) 0.701009 + 1.32224i 0.350504 + 0.661122i
\(5\) −0.0291328 + 0.267871i −0.0130286 + 0.119796i −0.998846 0.0480247i \(-0.984707\pi\)
0.985818 + 0.167820i \(0.0536729\pi\)
\(6\) 1.73540 + 2.73461i 0.708474 + 1.11640i
\(7\) −3.96067 1.33451i −1.49699 0.504396i −0.552666 0.833403i \(-0.686389\pi\)
−0.944327 + 0.329007i \(0.893286\pi\)
\(8\) 0.0509641 0.939978i 0.0180185 0.332333i
\(9\) 1.79991 + 2.40007i 0.599971 + 0.800022i
\(10\) −0.304917 + 0.401111i −0.0964232 + 0.126843i
\(11\) −1.25346 1.84871i −0.377932 0.557408i 0.590389 0.807119i \(-0.298975\pi\)
−0.968320 + 0.249712i \(0.919664\pi\)
\(12\) 0.0617456 + 2.59141i 0.0178244 + 0.748076i
\(13\) 0.0885345 + 0.0934648i 0.0245551 + 0.0259225i 0.738157 0.674629i \(-0.235696\pi\)
−0.713602 + 0.700551i \(0.752938\pi\)
\(14\) −5.05946 5.95646i −1.35220 1.59193i
\(15\) −0.252632 + 0.392414i −0.0652293 + 0.101321i
\(16\) 2.66755 3.93435i 0.666888 0.983587i
\(17\) −0.877671 2.60483i −0.212866 0.631765i −0.999890 0.0148418i \(-0.995276\pi\)
0.787023 0.616923i \(-0.211621\pi\)
\(18\) 0.570144 + 5.58069i 0.134384 + 1.31538i
\(19\) −1.29281 + 7.88577i −0.296590 + 1.80912i 0.246165 + 0.969228i \(0.420830\pi\)
−0.542755 + 0.839891i \(0.682619\pi\)
\(20\) −0.374613 + 0.149260i −0.0837661 + 0.0333755i
\(21\) −5.10205 5.13542i −1.11336 1.12064i
\(22\) −0.226117 4.17048i −0.0482083 0.889149i
\(23\) 0.724703 2.61014i 0.151111 0.544252i −0.848769 0.528764i \(-0.822656\pi\)
0.999880 0.0154888i \(-0.00493043\pi\)
\(24\) 0.807083 1.41672i 0.164745 0.289186i
\(25\) 4.81220 + 1.05924i 0.962439 + 0.211849i
\(26\) 0.0517505 + 0.235105i 0.0101491 + 0.0461078i
\(27\) 0.929234 + 5.11239i 0.178831 + 0.983880i
\(28\) −1.01193 6.17247i −0.191236 1.16649i
\(29\) 3.17115 + 5.27049i 0.588868 + 0.978706i 0.997810 + 0.0661454i \(0.0210701\pi\)
−0.408942 + 0.912560i \(0.634102\pi\)
\(30\) −0.783082 + 0.385197i −0.142971 + 0.0703270i
\(31\) −5.97230 + 0.979109i −1.07266 + 0.175853i −0.672131 0.740432i \(-0.734621\pi\)
−0.400526 + 0.916285i \(0.631173\pi\)
\(32\) 6.35825 2.94164i 1.12399 0.520013i
\(33\) −0.509772 3.83495i −0.0887399 0.667578i
\(34\) 1.10492 5.01970i 0.189492 0.860872i
\(35\) 0.472861 1.02207i 0.0799281 0.172762i
\(36\) −1.91172 + 4.06239i −0.318619 + 0.677065i
\(37\) −6.76370 + 0.366717i −1.11195 + 0.0602879i −0.600943 0.799292i \(-0.705208\pi\)
−0.511002 + 0.859579i \(0.670726\pi\)
\(38\) −9.67360 + 11.3886i −1.56927 + 1.84748i
\(39\) 0.0647557 + 0.213375i 0.0103692 + 0.0341673i
\(40\) 0.250309 + 0.0410360i 0.0395773 + 0.00648836i
\(41\) 6.10233 1.69430i 0.953024 0.264606i 0.243988 0.969778i \(-0.421544\pi\)
0.709036 + 0.705172i \(0.249130\pi\)
\(42\) −3.22399 13.1468i −0.497472 2.02860i
\(43\) −2.60106 1.76356i −0.396658 0.268941i 0.346509 0.938047i \(-0.387367\pi\)
−0.743167 + 0.669106i \(0.766677\pi\)
\(44\) 1.56576 2.95334i 0.236047 0.445233i
\(45\) −0.695346 + 0.412224i −0.103656 + 0.0614508i
\(46\) 3.67744 3.48346i 0.542209 0.513607i
\(47\) 5.39475 0.586714i 0.786905 0.0855811i 0.294162 0.955756i \(-0.404960\pi\)
0.492743 + 0.870175i \(0.335994\pi\)
\(48\) 7.18016 4.02865i 1.03637 0.581486i
\(49\) 8.33336 + 6.33486i 1.19048 + 0.904980i
\(50\) 6.68918 + 6.33633i 0.945993 + 0.896092i
\(51\) 0.658101 4.71522i 0.0921525 0.660263i
\(52\) −0.0615197 + 0.182584i −0.00853124 + 0.0253198i
\(53\) −5.75917 7.57606i −0.791083 1.04065i −0.998057 0.0623055i \(-0.980155\pi\)
0.206974 0.978346i \(-0.433638\pi\)
\(54\) −3.43969 + 9.08714i −0.468082 + 1.23660i
\(55\) 0.531734 0.281907i 0.0716990 0.0380124i
\(56\) −1.45626 + 3.65493i −0.194601 + 0.488411i
\(57\) −8.11130 + 11.2150i −1.07437 + 1.48547i
\(58\) 11.5018i 1.51025i
\(59\) −1.76075 7.47662i −0.229230 0.973372i
\(60\) −0.695964 0.0589551i −0.0898485 0.00761107i
\(61\) −0.611098 + 1.01565i −0.0782431 + 0.130041i −0.893508 0.449047i \(-0.851764\pi\)
0.815265 + 0.579088i \(0.196591\pi\)
\(62\) −10.5130 4.18877i −1.33515 0.531974i
\(63\) −3.92596 11.9079i −0.494624 1.50025i
\(64\) 3.57226 + 0.388507i 0.446532 + 0.0485633i
\(65\) −0.0276158 + 0.0209930i −0.00342532 + 0.00260386i
\(66\) 2.88026 6.63598i 0.354536 0.816832i
\(67\) 6.57251 + 0.356351i 0.802959 + 0.0435352i 0.451050 0.892499i \(-0.351050\pi\)
0.351910 + 0.936034i \(0.385532\pi\)
\(68\) 2.82897 2.98651i 0.343063 0.362167i
\(69\) 3.14458 3.48221i 0.378563 0.419208i
\(70\) 1.74296 1.18176i 0.208324 0.141247i
\(71\) 0.857888 + 7.88815i 0.101813 + 0.936151i 0.927956 + 0.372691i \(0.121565\pi\)
−0.826143 + 0.563460i \(0.809470\pi\)
\(72\) 2.34774 1.56956i 0.276684 0.184974i
\(73\) −3.64114 + 3.09281i −0.426163 + 0.361986i −0.834653 0.550777i \(-0.814332\pi\)
0.408489 + 0.912763i \(0.366056\pi\)
\(74\) −11.1907 5.93291i −1.30089 0.689687i
\(75\) 6.63444 + 5.36861i 0.766079 + 0.619913i
\(76\) −11.3332 + 3.81859i −1.30000 + 0.438022i
\(77\) 2.49742 + 8.99489i 0.284607 + 1.02506i
\(78\) −0.101947 + 0.404307i −0.0115433 + 0.0457787i
\(79\) −1.78551 4.48129i −0.200886 0.504185i 0.793675 0.608342i \(-0.208165\pi\)
−0.994561 + 0.104157i \(0.966786\pi\)
\(80\) 0.976186 + 0.829180i 0.109141 + 0.0927051i
\(81\) −2.52064 + 8.63981i −0.280071 + 0.959979i
\(82\) 11.4108 + 3.16820i 1.26012 + 0.349869i
\(83\) −3.74619 1.73317i −0.411198 0.190240i 0.203374 0.979101i \(-0.434809\pi\)
−0.614572 + 0.788861i \(0.710671\pi\)
\(84\) 3.21370 10.3461i 0.350643 1.12885i
\(85\) 0.723329 0.159217i 0.0784561 0.0172695i
\(86\) −2.46740 5.33319i −0.266066 0.575093i
\(87\) 0.830023 + 10.6214i 0.0889878 + 1.13873i
\(88\) −1.80163 + 1.08401i −0.192054 + 0.115555i
\(89\) −8.05345 + 4.84560i −0.853664 + 0.513633i −0.873868 0.486163i \(-0.838396\pi\)
0.0202037 + 0.999796i \(0.493569\pi\)
\(90\) −1.51152 0.00985581i −0.159328 0.00103889i
\(91\) −0.225927 0.488333i −0.0236836 0.0511912i
\(92\) 3.95927 0.871501i 0.412782 0.0908602i
\(93\) −10.0106 3.10948i −1.03805 0.322438i
\(94\) 9.20935 + 4.26070i 0.949872 + 0.439457i
\(95\) −2.07471 0.576040i −0.212861 0.0591005i
\(96\) 12.1287 + 0.368134i 1.23788 + 0.0375725i
\(97\) 7.78525 + 6.61285i 0.790472 + 0.671433i 0.948773 0.315958i \(-0.102326\pi\)
−0.158301 + 0.987391i \(0.550602\pi\)
\(98\) 7.24506 + 18.1837i 0.731861 + 1.83683i
\(99\) 2.18092 6.33590i 0.219190 0.636782i
\(100\) 1.97281 + 7.10543i 0.197281 + 0.710543i
\(101\) 13.7948 4.64799i 1.37263 0.462493i 0.466136 0.884713i \(-0.345646\pi\)
0.906493 + 0.422220i \(0.138749\pi\)
\(102\) 5.60011 6.92052i 0.554493 0.685233i
\(103\) 1.87947 + 0.996429i 0.185189 + 0.0981811i 0.558424 0.829556i \(-0.311406\pi\)
−0.373234 + 0.927737i \(0.621751\pi\)
\(104\) 0.0923669 0.0784572i 0.00905732 0.00769336i
\(105\) 1.52427 1.21708i 0.148754 0.118775i
\(106\) −1.92399 17.6908i −0.186875 1.71828i
\(107\) 1.61150 1.09262i 0.155789 0.105628i −0.480802 0.876829i \(-0.659654\pi\)
0.636591 + 0.771202i \(0.280344\pi\)
\(108\) −6.10842 + 4.81250i −0.587783 + 0.463083i
\(109\) −10.1264 + 10.6903i −0.969935 + 1.02395i 0.0297678 + 0.999557i \(0.490523\pi\)
−0.999703 + 0.0243907i \(0.992235\pi\)
\(110\) 1.12374 + 0.0609274i 0.107144 + 0.00580920i
\(111\) −10.7623 4.67122i −1.02151 0.443373i
\(112\) −15.8157 + 12.0228i −1.49444 + 1.13605i
\(113\) 17.0927 + 1.85894i 1.60794 + 0.174874i 0.867568 0.497319i \(-0.165682\pi\)
0.740376 + 0.672193i \(0.234648\pi\)
\(114\) −23.8081 + 10.1496i −2.22983 + 0.950600i
\(115\) 0.678070 + 0.270168i 0.0632304 + 0.0251933i
\(116\) −4.74587 + 7.88769i −0.440643 + 0.732354i
\(117\) −0.0649673 + 0.380717i −0.00600623 + 0.0351973i
\(118\) 4.38661 13.6768i 0.403820 1.25905i
\(119\) 11.4881i 1.05312i
\(120\) 0.355985 + 0.257467i 0.0324969 + 0.0235035i
\(121\) 2.22494 5.58418i 0.202267 0.507653i
\(122\) −1.95826 + 1.03821i −0.177293 + 0.0939947i
\(123\) 10.7661 + 2.10224i 0.970743 + 0.189553i
\(124\) −5.48126 7.21047i −0.492231 0.647519i
\(125\) −0.854115 + 2.53492i −0.0763943 + 0.226730i
\(126\) 5.18931 22.8641i 0.462301 2.03690i
\(127\) −3.86797 3.66394i −0.343227 0.325122i 0.496596 0.867982i \(-0.334583\pi\)
−0.839823 + 0.542860i \(0.817342\pi\)
\(128\) −5.80535 4.41311i −0.513125 0.390068i
\(129\) −2.66341 4.74692i −0.234500 0.417943i
\(130\) −0.0644855 + 0.00701322i −0.00565575 + 0.000615100i
\(131\) −11.7664 + 11.1458i −1.02804 + 0.973809i −0.999667 0.0257884i \(-0.991790\pi\)
−0.0283703 + 0.999597i \(0.509032\pi\)
\(132\) 4.71338 3.36237i 0.410247 0.292657i
\(133\) 15.6440 29.5077i 1.35651 2.55864i
\(134\) 10.1873 + 6.90713i 0.880045 + 0.596685i
\(135\) −1.39653 + 0.0999771i −0.120195 + 0.00860466i
\(136\) −2.49322 + 0.692238i −0.213792 + 0.0593589i
\(137\) 14.8237 + 2.43022i 1.26648 + 0.207628i 0.757319 0.653046i \(-0.226509\pi\)
0.509157 + 0.860674i \(0.329957\pi\)
\(138\) 8.39538 2.54786i 0.714663 0.216888i
\(139\) −10.8044 + 12.7199i −0.916417 + 1.07889i 0.0802065 + 0.996778i \(0.474442\pi\)
−0.996623 + 0.0821109i \(0.973834\pi\)
\(140\) 1.68291 0.0912447i 0.142232 0.00771158i
\(141\) 8.81192 + 3.26998i 0.742097 + 0.275382i
\(142\) −6.22995 + 13.4658i −0.522806 + 1.13003i
\(143\) 0.0618151 0.280829i 0.00516924 0.0234841i
\(144\) 14.2441 0.679172i 1.18700 0.0565977i
\(145\) −1.50420 + 0.695916i −0.124917 + 0.0577927i
\(146\) −8.81561 + 1.44525i −0.729585 + 0.119609i
\(147\) 8.00273 + 16.2691i 0.660054 + 1.34185i
\(148\) −5.22630 8.68619i −0.429600 0.714000i
\(149\) −2.81849 17.1920i −0.230900 1.40843i −0.806760 0.590879i \(-0.798781\pi\)
0.575860 0.817548i \(-0.304667\pi\)
\(150\) 5.45446 + 14.9977i 0.445355 + 1.22456i
\(151\) −3.44649 15.6576i −0.280472 1.27420i −0.880435 0.474168i \(-0.842749\pi\)
0.599963 0.800028i \(-0.295182\pi\)
\(152\) 7.34656 + 1.61710i 0.595885 + 0.131164i
\(153\) 4.67204 6.79494i 0.377712 0.549338i
\(154\) −4.66996 + 16.8197i −0.376316 + 1.35537i
\(155\) −0.0882856 1.62833i −0.00709127 0.130791i
\(156\) −0.236739 + 0.235200i −0.0189543 + 0.0188311i
\(157\) 21.8661 8.71227i 1.74511 0.695315i 0.745525 0.666478i \(-0.232199\pi\)
0.999584 0.0288367i \(-0.00918029\pi\)
\(158\) 1.45932 8.90145i 0.116097 0.708161i
\(159\) −3.05338 16.1979i −0.242149 1.28457i
\(160\) 0.602748 + 1.78889i 0.0476514 + 0.141424i
\(161\) −6.35356 + 9.37080i −0.500731 + 0.738522i
\(162\) −12.3678 + 11.4131i −0.971708 + 0.896701i
\(163\) −1.80672 2.12703i −0.141513 0.166602i 0.686840 0.726809i \(-0.258997\pi\)
−0.828353 + 0.560207i \(0.810722\pi\)
\(164\) 6.51807 + 6.88104i 0.508976 + 0.537319i
\(165\) 1.04212 0.0248307i 0.0811292 0.00193307i
\(166\) −4.33148 6.38845i −0.336188 0.495840i
\(167\) 4.45028 5.85424i 0.344373 0.453015i −0.591003 0.806669i \(-0.701268\pi\)
0.935376 + 0.353654i \(0.115061\pi\)
\(168\) −5.08721 + 4.53409i −0.392487 + 0.349813i
\(169\) 0.702909 12.9644i 0.0540699 0.997260i
\(170\) 1.31245 + 0.442214i 0.100660 + 0.0339163i
\(171\) −21.2533 + 11.0909i −1.62528 + 0.848140i
\(172\) 0.508492 4.67550i 0.0387721 0.356504i
\(173\) −3.53320 6.66431i −0.268624 0.506678i 0.712100 0.702078i \(-0.247744\pi\)
−0.980724 + 0.195400i \(0.937400\pi\)
\(174\) −8.90955 + 17.8183i −0.675431 + 1.35080i
\(175\) −17.6460 10.6172i −1.33391 0.802587i
\(176\) −10.6171 −0.800297
\(177\) 3.06386 12.9465i 0.230294 0.973121i
\(178\) −17.5750 −1.31730
\(179\) −12.6128 7.58887i −0.942725 0.567219i −0.0408262 0.999166i \(-0.512999\pi\)
−0.901899 + 0.431947i \(0.857827\pi\)
\(180\) −1.03250 0.630443i −0.0769583 0.0469904i
\(181\) −3.33419 6.28895i −0.247828 0.467454i 0.728122 0.685448i \(-0.240394\pi\)
−0.975950 + 0.217994i \(0.930049\pi\)
\(182\) 0.108782 1.00023i 0.00806346 0.0741423i
\(183\) −1.73345 + 1.10006i −0.128140 + 0.0813185i
\(184\) −2.41654 0.814228i −0.178150 0.0600257i
\(185\) 0.0988123 1.82249i 0.00726483 0.133992i
\(186\) −13.0418 14.6328i −0.956272 1.07293i
\(187\) −3.71546 + 4.88761i −0.271702 + 0.357417i
\(188\) 4.55755 + 6.72188i 0.332393 + 0.490243i
\(189\) 3.14212 21.4886i 0.228556 1.56306i
\(190\) −2.76887 2.92306i −0.200875 0.212061i
\(191\) −7.37969 8.68804i −0.533976 0.628645i 0.427341 0.904091i \(-0.359450\pi\)
−0.961317 + 0.275446i \(0.911175\pi\)
\(192\) 5.23312 + 3.36903i 0.377668 + 0.243139i
\(193\) −0.726788 + 1.07193i −0.0523154 + 0.0771594i −0.852947 0.521997i \(-0.825187\pi\)
0.800632 + 0.599157i \(0.204497\pi\)
\(194\) 6.09884 + 18.1007i 0.437871 + 1.29956i
\(195\) −0.0590435 + 0.0111300i −0.00422819 + 0.000797036i
\(196\) −2.53446 + 15.4595i −0.181033 + 1.10425i
\(197\) −22.1259 + 8.81575i −1.57640 + 0.628096i −0.984099 0.177620i \(-0.943160\pi\)
−0.592303 + 0.805715i \(0.701781\pi\)
\(198\) 9.60244 8.04919i 0.682416 0.572031i
\(199\) 0.585492 + 10.7988i 0.0415044 + 0.765504i 0.943016 + 0.332748i \(0.107976\pi\)
−0.901511 + 0.432756i \(0.857541\pi\)
\(200\) 1.24092 4.46938i 0.0877460 0.316033i
\(201\) 9.90595 + 5.64328i 0.698712 + 0.398046i
\(202\) 26.5835 + 5.85147i 1.87041 + 0.411708i
\(203\) −5.52638 25.1066i −0.387876 1.76214i
\(204\) 6.69600 2.43524i 0.468814 0.170501i
\(205\) 0.276078 + 1.68400i 0.0192821 + 0.117616i
\(206\) 2.05077 + 3.40841i 0.142884 + 0.237475i
\(207\) 7.56892 2.95869i 0.526076 0.205643i
\(208\) 0.603893 0.0990033i 0.0418725 0.00686464i
\(209\) 16.1990 7.49445i 1.12051 0.518402i
\(210\) 3.61558 0.480612i 0.249499 0.0331654i
\(211\) 2.76961 12.5825i 0.190668 0.866212i −0.779999 0.625781i \(-0.784780\pi\)
0.970666 0.240431i \(-0.0772887\pi\)
\(212\) 5.98016 12.9259i 0.410719 0.887755i
\(213\) −4.78134 + 12.8847i −0.327612 + 0.882845i
\(214\) 3.63535 0.197103i 0.248508 0.0134737i
\(215\) 0.548184 0.645372i 0.0373858 0.0440140i
\(216\) 4.85289 0.612911i 0.330198 0.0417033i
\(217\) 24.9609 + 4.09214i 1.69446 + 0.277792i
\(218\) −26.5309 + 7.36628i −1.79690 + 0.498908i
\(219\) −8.03655 + 1.97080i −0.543059 + 0.133174i
\(220\) 0.745500 + 0.505462i 0.0502616 + 0.0340782i
\(221\) 0.165756 0.312649i 0.0111500 0.0210310i
\(222\) −12.7406 17.8597i −0.855090 1.19867i
\(223\) 9.54916 9.04544i 0.639459 0.605727i −0.297688 0.954663i \(-0.596215\pi\)
0.937147 + 0.348936i \(0.113457\pi\)
\(224\) −29.1086 + 3.16575i −1.94490 + 0.211520i
\(225\) 6.11927 + 13.4561i 0.407951 + 0.897076i
\(226\) 25.5946 + 19.4565i 1.70253 + 1.29423i
\(227\) −0.710376 0.672904i −0.0471493 0.0446622i 0.663762 0.747944i \(-0.268959\pi\)
−0.710911 + 0.703282i \(0.751717\pi\)
\(228\) −20.5151 2.86328i −1.35864 0.189625i
\(229\) −7.16551 + 21.2665i −0.473510 + 1.40533i 0.399098 + 0.916908i \(0.369323\pi\)
−0.872609 + 0.488420i \(0.837573\pi\)
\(230\) 0.825984 + 1.08656i 0.0544638 + 0.0716459i
\(231\) −3.09872 + 15.8693i −0.203881 + 1.04412i
\(232\) 5.11576 2.71221i 0.335866 0.178065i
\(233\) 3.76721 9.45499i 0.246798 0.619417i −0.752431 0.658671i \(-0.771119\pi\)
0.999229 + 0.0392542i \(0.0124982\pi\)
\(234\) −0.471121 + 0.547372i −0.0307981 + 0.0357828i
\(235\) 1.46219i 0.0953829i
\(236\) 8.65160 7.56931i 0.563171 0.492720i
\(237\) 0.705247 8.32543i 0.0458107 0.540795i
\(238\) −11.0750 + 18.4069i −0.717888 + 1.19314i
\(239\) 7.90741 + 3.15060i 0.511488 + 0.203795i 0.611580 0.791183i \(-0.290534\pi\)
−0.100092 + 0.994978i \(0.531914\pi\)
\(240\) 0.869983 + 2.04073i 0.0561572 + 0.131728i
\(241\) −9.74198 1.05950i −0.627536 0.0682486i −0.211175 0.977448i \(-0.567729\pi\)
−0.416361 + 0.909200i \(0.636695\pi\)
\(242\) 8.94829 6.80231i 0.575218 0.437269i
\(243\) −10.5975 + 11.4321i −0.679832 + 0.733368i
\(244\) −1.77133 0.0960385i −0.113398 0.00614824i
\(245\) −1.93970 + 2.04772i −0.123923 + 0.130824i
\(246\) 15.2233 + 13.7472i 0.970599 + 0.876491i
\(247\) −0.851499 + 0.577331i −0.0541796 + 0.0367347i
\(248\) 0.615968 + 5.66373i 0.0391140 + 0.359647i
\(249\) −4.46096 5.58688i −0.282702 0.354054i
\(250\) −3.81227 + 3.23817i −0.241109 + 0.204800i
\(251\) 23.3214 + 12.3642i 1.47203 + 0.780423i 0.995134 0.0985341i \(-0.0314154\pi\)
0.476901 + 0.878957i \(0.341760\pi\)
\(252\) 12.9930 13.5386i 0.818480 0.852851i
\(253\) −5.73379 + 1.93194i −0.360480 + 0.121460i
\(254\) −2.66527 9.59942i −0.167234 0.602321i
\(255\) 1.24390 + 0.313654i 0.0778960 + 0.0196418i
\(256\) −7.70724 19.3437i −0.481703 1.20898i
\(257\) 22.4783 + 19.0932i 1.40216 + 1.19100i 0.955022 + 0.296536i \(0.0958315\pi\)
0.447135 + 0.894466i \(0.352444\pi\)
\(258\) 0.308784 10.1734i 0.0192241 0.633367i
\(259\) 27.2782 + 7.57375i 1.69498 + 0.470610i
\(260\) −0.0471168 0.0217985i −0.00292206 0.00135189i
\(261\) −6.94174 + 17.0974i −0.429683 + 1.05830i
\(262\) −29.5977 + 6.51495i −1.82855 + 0.402495i
\(263\) 2.77858 + 6.00581i 0.171335 + 0.370334i 0.974153 0.225890i \(-0.0725290\pi\)
−0.802818 + 0.596224i \(0.796667\pi\)
\(264\) −3.63075 + 0.283730i −0.223457 + 0.0174624i
\(265\) 2.19719 1.32201i 0.134972 0.0812102i
\(266\) 53.5122 32.1972i 3.28104 1.97414i
\(267\) −16.2298 + 1.26830i −0.993246 + 0.0776186i
\(268\) 4.13620 + 8.94026i 0.252659 + 0.546113i
\(269\) 17.2929 3.80646i 1.05437 0.232084i 0.346224 0.938152i \(-0.387464\pi\)
0.708144 + 0.706068i \(0.249533\pi\)
\(270\) −2.33398 1.18613i −0.142041 0.0721855i
\(271\) −4.41552 2.04284i −0.268224 0.124093i 0.281168 0.959659i \(-0.409278\pi\)
−0.549391 + 0.835565i \(0.685140\pi\)
\(272\) −12.5896 3.49547i −0.763354 0.211944i
\(273\) 0.0282738 0.931524i 0.00171121 0.0563784i
\(274\) 21.4084 + 18.1845i 1.29333 + 1.09857i
\(275\) −4.07365 10.2241i −0.245650 0.616535i
\(276\) 6.80870 + 1.71684i 0.409836 + 0.103341i
\(277\) 3.81435 + 13.7380i 0.229182 + 0.825439i 0.985275 + 0.170975i \(0.0546918\pi\)
−0.756093 + 0.654464i \(0.772894\pi\)
\(278\) −29.5738 + 9.96459i −1.77372 + 0.597636i
\(279\) −13.0995 12.5716i −0.784249 0.752642i
\(280\) −0.936627 0.496568i −0.0559742 0.0296756i
\(281\) −8.01051 + 6.80419i −0.477867 + 0.405904i −0.853685 0.520790i \(-0.825638\pi\)
0.375818 + 0.926693i \(0.377362\pi\)
\(282\) 10.9665 + 13.7344i 0.653045 + 0.817870i
\(283\) 1.42774 + 13.1278i 0.0848702 + 0.780368i 0.956802 + 0.290741i \(0.0939017\pi\)
−0.871932 + 0.489628i \(0.837133\pi\)
\(284\) −9.82866 + 6.66400i −0.583224 + 0.395436i
\(285\) −2.76788 2.49951i −0.163955 0.148058i
\(286\) 0.369774 0.390366i 0.0218652 0.0230828i
\(287\) −26.4304 1.43301i −1.56014 0.0845882i
\(288\) 18.5044 + 9.96553i 1.09038 + 0.587224i
\(289\) 7.51873 5.71559i 0.442278 0.336211i
\(290\) −3.08099 0.335078i −0.180922 0.0196765i
\(291\) 6.93826 + 16.2751i 0.406728 + 0.954065i
\(292\) −6.64192 2.64638i −0.388689 0.154868i
\(293\) 3.13749 5.21455i 0.183294 0.304637i −0.751563 0.659661i \(-0.770700\pi\)
0.934857 + 0.355024i \(0.115527\pi\)
\(294\) −2.86168 + 33.7820i −0.166896 + 1.97021i
\(295\) 2.05407 0.253839i 0.119592 0.0147791i
\(296\) 6.37642i 0.370622i
\(297\) 8.28658 8.12605i 0.480836 0.471521i
\(298\) 12.0579 30.2631i 0.698496 1.75309i
\(299\) 0.308118 0.163354i 0.0178189 0.00944698i
\(300\) −2.44781 + 12.5358i −0.141324 + 0.723754i
\(301\) 7.94846 + 10.4560i 0.458141 + 0.602675i
\(302\) 9.57241 28.4099i 0.550830 1.63481i
\(303\) 24.9710 + 3.48519i 1.43455 + 0.200219i
\(304\) 27.5767 + 26.1221i 1.58163 + 1.49820i
\(305\) −0.254262 0.193285i −0.0145590 0.0110674i
\(306\) 14.0364 6.38314i 0.802406 0.364900i
\(307\) −8.89451 + 0.967337i −0.507637 + 0.0552088i −0.358354 0.933586i \(-0.616662\pi\)
−0.149283 + 0.988795i \(0.547696\pi\)
\(308\) −10.1427 + 9.60769i −0.577935 + 0.547449i
\(309\) 2.13977 + 2.99953i 0.121727 + 0.170637i
\(310\) 1.42832 2.69410i 0.0811233 0.153015i
\(311\) −11.1699 7.57336i −0.633385 0.429446i 0.201791 0.979429i \(-0.435324\pi\)
−0.835176 + 0.549983i \(0.814634\pi\)
\(312\) 0.203868 0.0499945i 0.0115417 0.00283038i
\(313\) −16.0094 + 4.44498i −0.904904 + 0.251245i −0.688652 0.725092i \(-0.741797\pi\)
−0.216252 + 0.976338i \(0.569383\pi\)
\(314\) 43.4340 + 7.12064i 2.45112 + 0.401841i
\(315\) 3.30415 0.704743i 0.186168 0.0397077i
\(316\) 4.67370 5.50230i 0.262916 0.309529i
\(317\) −15.9407 + 0.864282i −0.895321 + 0.0485429i −0.496054 0.868292i \(-0.665218\pi\)
−0.399267 + 0.916835i \(0.630735\pi\)
\(318\) 10.7231 28.8966i 0.601324 1.62044i
\(319\) 5.76872 12.4689i 0.322986 0.698123i
\(320\) −0.208140 + 0.945588i −0.0116354 + 0.0528600i
\(321\) 3.34287 0.444361i 0.186581 0.0248018i
\(322\) −19.2138 + 8.88926i −1.07074 + 0.495379i
\(323\) 21.6758 3.55356i 1.20607 0.197725i
\(324\) −13.1909 + 2.72369i −0.732829 + 0.151316i
\(325\) 0.327044 + 0.543551i 0.0181411 + 0.0301508i
\(326\) −0.844264 5.14978i −0.0467594 0.285220i
\(327\) −23.9686 + 8.71705i −1.32547 + 0.482054i
\(328\) −1.28161 5.82241i −0.0707650 0.321489i
\(329\) −22.1498 4.87554i −1.22116 0.268797i
\(330\) 1.69368 + 0.964865i 0.0932339 + 0.0531141i
\(331\) −3.23376 + 11.6470i −0.177744 + 0.640175i 0.819959 + 0.572423i \(0.193996\pi\)
−0.997702 + 0.0677520i \(0.978417\pi\)
\(332\) −0.334438 6.16834i −0.0183547 0.338532i
\(333\) −13.0542 15.5733i −0.715366 0.853410i
\(334\) 12.7742 5.08970i 0.698972 0.278496i
\(335\) −0.286932 + 1.75021i −0.0156767 + 0.0956239i
\(336\) −33.8145 + 6.37421i −1.84473 + 0.347742i
\(337\) −10.9383 32.4638i −0.595849 1.76842i −0.638838 0.769342i \(-0.720584\pi\)
0.0429886 0.999076i \(-0.486312\pi\)
\(338\) 13.6244 20.0945i 0.741071 1.09300i
\(339\) 25.0396 + 16.1202i 1.35997 + 0.875531i
\(340\) 0.717584 + 0.844805i 0.0389164 + 0.0458160i
\(341\) 9.29611 + 9.81379i 0.503413 + 0.531446i
\(342\) −44.7451 2.71873i −2.41954 0.147012i
\(343\) −8.13363 11.9962i −0.439175 0.647734i
\(344\) −1.79027 + 2.35506i −0.0965249 + 0.126976i
\(345\) 0.841173 + 0.943789i 0.0452872 + 0.0508119i
\(346\) 0.763614 14.0840i 0.0410522 0.757162i
\(347\) −27.6496 9.31624i −1.48431 0.500122i −0.543602 0.839343i \(-0.682940\pi\)
−0.940707 + 0.339221i \(0.889836\pi\)
\(348\) −13.4622 + 8.54318i −0.721650 + 0.457962i
\(349\) −0.737310 + 6.77945i −0.0394673 + 0.362896i 0.957705 + 0.287751i \(0.0929075\pi\)
−0.997173 + 0.0751449i \(0.976058\pi\)
\(350\) −18.0378 34.0229i −0.964160 1.81860i
\(351\) −0.395559 + 0.539474i −0.0211134 + 0.0287950i
\(352\) −13.4080 8.06735i −0.714651 0.429991i
\(353\) −10.4358 −0.555439 −0.277720 0.960662i \(-0.589579\pi\)
−0.277720 + 0.960662i \(0.589579\pi\)
\(354\) 17.3901 17.7899i 0.924271 0.945521i
\(355\) −2.13800 −0.113473
\(356\) −12.0526 7.25181i −0.638787 0.384345i
\(357\) −8.89901 + 17.7972i −0.470985 + 0.941927i
\(358\) −12.8929 24.3185i −0.681409 1.28527i
\(359\) −3.52937 + 32.4520i −0.186273 + 1.71275i 0.411769 + 0.911288i \(0.364911\pi\)
−0.598042 + 0.801465i \(0.704055\pi\)
\(360\) 0.352044 + 0.674618i 0.0185544 + 0.0355555i
\(361\) −42.5086 14.3228i −2.23729 0.753832i
\(362\) 0.720604 13.2908i 0.0378741 0.698547i
\(363\) 7.77248 6.92740i 0.407949 0.363594i
\(364\) 0.487318 0.641056i 0.0255424 0.0336005i
\(365\) −0.722399 1.06546i −0.0378121 0.0557687i
\(366\) −3.83792 + 0.0914462i −0.200611 + 0.00477997i
\(367\) 2.89016 + 3.05110i 0.150865 + 0.159266i 0.797047 0.603917i \(-0.206394\pi\)
−0.646182 + 0.763183i \(0.723635\pi\)
\(368\) −8.33603 9.81393i −0.434545 0.511586i
\(369\) 15.0501 + 11.5964i 0.783477 + 0.603685i
\(370\) 1.91527 2.82482i 0.0995703 0.146855i
\(371\) 12.6999 + 37.6919i 0.659346 + 1.95687i
\(372\) −2.90604 15.4162i −0.150671 0.799294i
\(373\) −4.10877 + 25.0624i −0.212744 + 1.29768i 0.637156 + 0.770735i \(0.280111\pi\)
−0.849900 + 0.526945i \(0.823337\pi\)
\(374\) −10.6650 + 4.24930i −0.551471 + 0.219726i
\(375\) −3.28679 + 3.26543i −0.169729 + 0.168626i
\(376\) −0.276560 5.10085i −0.0142625 0.263056i
\(377\) −0.211849 + 0.763011i −0.0109108 + 0.0392971i
\(378\) 25.7503 31.4009i 1.32445 1.61509i
\(379\) 21.5640 + 4.74660i 1.10767 + 0.243816i 0.730895 0.682489i \(-0.239103\pi\)
0.376773 + 0.926306i \(0.377034\pi\)
\(380\) −0.692724 3.14708i −0.0355360 0.161442i
\(381\) −3.15400 8.67232i −0.161584 0.444297i
\(382\) −3.44847 21.0347i −0.176439 1.07623i
\(383\) −2.85347 4.74250i −0.145805 0.242330i 0.775344 0.631539i \(-0.217576\pi\)
−0.921150 + 0.389208i \(0.872749\pi\)
\(384\) −5.57502 11.3337i −0.284499 0.578369i
\(385\) −2.48223 + 0.406941i −0.126506 + 0.0207396i
\(386\) −2.19788 + 1.01685i −0.111869 + 0.0517562i
\(387\) −0.449011 9.41697i −0.0228245 0.478691i
\(388\) −3.28627 + 14.9297i −0.166835 + 0.757938i
\(389\) −4.73152 + 10.2270i −0.239898 + 0.518530i −0.989704 0.143127i \(-0.954284\pi\)
0.749807 + 0.661657i \(0.230146\pi\)
\(390\) −0.105332 0.0390873i −0.00533370 0.00197926i
\(391\) −7.43504 + 0.403116i −0.376006 + 0.0203865i
\(392\) 6.37933 7.51033i 0.322205 0.379329i
\(393\) −26.8621 + 8.15220i −1.35501 + 0.411224i
\(394\) −43.9499 7.20522i −2.21416 0.362993i
\(395\) 1.25243 0.347735i 0.0630164 0.0174964i
\(396\) 9.90644 1.55782i 0.497817 0.0782833i
\(397\) 14.1788 + 9.61343i 0.711611 + 0.482484i 0.862494 0.506067i \(-0.168901\pi\)
−0.150883 + 0.988552i \(0.548212\pi\)
\(398\) −9.47235 + 17.8667i −0.474806 + 0.895579i
\(399\) 47.0927 33.5945i 2.35758 1.68183i
\(400\) 17.0042 16.1073i 0.850211 0.805363i
\(401\) −7.89518 + 0.858653i −0.394267 + 0.0428791i −0.303105 0.952957i \(-0.598023\pi\)
−0.0911613 + 0.995836i \(0.529058\pi\)
\(402\) 10.4314 + 18.5917i 0.520273 + 0.927269i
\(403\) −0.620267 0.471515i −0.0308977 0.0234878i
\(404\) 15.8160 + 14.9817i 0.786877 + 0.745369i
\(405\) −2.24093 0.926908i −0.111353 0.0460584i
\(406\) 15.3492 45.5547i 0.761766 2.26084i
\(407\) 9.15597 + 12.0445i 0.453844 + 0.597022i
\(408\) −4.39866 0.858907i −0.217766 0.0425223i
\(409\) −12.2367 + 6.48751i −0.605068 + 0.320787i −0.742626 0.669707i \(-0.766420\pi\)
0.137557 + 0.990494i \(0.456075\pi\)
\(410\) −1.18110 + 2.96434i −0.0583304 + 0.146398i
\(411\) 21.0821 + 15.2477i 1.03990 + 0.752112i
\(412\) 3.18362i 0.156845i
\(413\) −3.00385 + 31.9621i −0.147810 + 1.57275i
\(414\) 14.9796 + 2.55619i 0.736207 + 0.125630i
\(415\) 0.573404 0.953005i 0.0281473 0.0467812i
\(416\) 0.837864 + 0.333836i 0.0410797 + 0.0163676i
\(417\) −26.5911 + 11.3361i −1.30217 + 0.555130i
\(418\) 33.1798 + 3.60852i 1.62288 + 0.176498i
\(419\) −5.07529 + 3.85814i −0.247944 + 0.188482i −0.721763 0.692140i \(-0.756668\pi\)
0.473819 + 0.880622i \(0.342875\pi\)
\(420\) 2.67781 + 1.16227i 0.130664 + 0.0567129i
\(421\) −0.000225455 0 1.22238e-5i −1.09880e−5 0 5.95751e-7i 0.0541334 0.998534i \(-0.482760\pi\)
−0.0541444 + 0.998533i \(0.517243\pi\)
\(422\) 16.5676 17.4902i 0.806498 0.851410i
\(423\) 11.1182 + 11.8917i 0.540587 + 0.578195i
\(424\) −7.41484 + 5.02739i −0.360097 + 0.244152i
\(425\) −1.46437 13.4646i −0.0710323 0.653131i
\(426\) −20.0823 + 16.0351i −0.972989 + 0.776902i
\(427\) 3.77576 3.20716i 0.182722 0.155205i
\(428\) 2.57439 + 1.36485i 0.124438 + 0.0659727i
\(429\) 0.313300 0.387171i 0.0151263 0.0186928i
\(430\) 1.50049 0.505575i 0.0723601 0.0243810i
\(431\) −8.57173 30.8726i −0.412886 1.48708i −0.819286 0.573385i \(-0.805630\pi\)
0.406400 0.913695i \(-0.366784\pi\)
\(432\) 22.5927 + 9.98164i 1.08699 + 0.480242i
\(433\) −4.39902 11.0407i −0.211403 0.530583i 0.784589 0.620016i \(-0.212874\pi\)
−0.995993 + 0.0894330i \(0.971494\pi\)
\(434\) 36.0486 + 30.6200i 1.73039 + 1.46981i
\(435\) −2.86935 0.0870910i −0.137575 0.00417569i
\(436\) −21.2339 5.89557i −1.01692 0.282347i
\(437\) 19.6461 + 9.08924i 0.939799 + 0.434798i
\(438\) −14.7765 4.58985i −0.706047 0.219311i
\(439\) −5.27968 + 1.16214i −0.251985 + 0.0554661i −0.339167 0.940726i \(-0.610145\pi\)
0.0871814 + 0.996192i \(0.472214\pi\)
\(440\) −0.237887 0.514185i −0.0113408 0.0245128i
\(441\) −0.204761 + 31.4028i −0.00975053 + 1.49537i
\(442\) 0.566989 0.341146i 0.0269689 0.0162267i
\(443\) 20.2864 12.2059i 0.963836 0.579921i 0.0556334 0.998451i \(-0.482282\pi\)
0.908203 + 0.418530i \(0.137455\pi\)
\(444\) −1.36794 17.5049i −0.0649197 0.830745i
\(445\) −1.06338 2.29846i −0.0504090 0.108957i
\(446\) 24.0203 5.28727i 1.13739 0.250359i
\(447\) 8.95104 28.8168i 0.423370 1.36299i
\(448\) −13.6301 6.30595i −0.643961 0.297928i
\(449\) 5.49601 + 1.52596i 0.259373 + 0.0720146i 0.394781 0.918775i \(-0.370821\pi\)
−0.135408 + 0.990790i \(0.543234\pi\)
\(450\) −3.16767 + 27.4593i −0.149326 + 1.29444i
\(451\) −10.7813 9.15772i −0.507671 0.431220i
\(452\) 9.52414 + 23.9038i 0.447978 + 1.12434i
\(453\) 6.78952 26.9261i 0.318999 1.26510i
\(454\) −0.489492 1.76299i −0.0229730 0.0827412i
\(455\) 0.137392 0.0462929i 0.00644105 0.00217024i
\(456\) 10.1285 + 8.19601i 0.474310 + 0.383813i
\(457\) 19.7326 + 10.4616i 0.923053 + 0.489372i 0.860945 0.508698i \(-0.169873\pi\)
0.0621080 + 0.998069i \(0.480218\pi\)
\(458\) −31.9827 + 27.1663i −1.49445 + 1.26940i
\(459\) 12.5014 6.90749i 0.583514 0.322414i
\(460\) 0.118106 + 1.08596i 0.00550671 + 0.0506333i
\(461\) 14.7854 10.0247i 0.688623 0.466898i −0.166014 0.986123i \(-0.553090\pi\)
0.854637 + 0.519225i \(0.173779\pi\)
\(462\) −20.2635 + 22.4392i −0.942745 + 1.04397i
\(463\) 3.90714 4.12472i 0.181580 0.191692i −0.628851 0.777526i \(-0.716474\pi\)
0.810431 + 0.585834i \(0.199233\pi\)
\(464\) 29.1952 + 1.58292i 1.35535 + 0.0734850i
\(465\) 1.12458 2.59097i 0.0521510 0.120153i
\(466\) 15.1510 11.5175i 0.701857 0.533538i
\(467\) −19.8248 2.15608i −0.917384 0.0997716i −0.362770 0.931879i \(-0.618169\pi\)
−0.554615 + 0.832107i \(0.687134\pi\)
\(468\) −0.548943 + 0.180984i −0.0253749 + 0.00836597i
\(469\) −25.5560 10.1824i −1.18007 0.470181i
\(470\) −1.40961 + 2.34280i −0.0650206 + 0.108065i
\(471\) 40.6233 + 3.44120i 1.87182 + 0.158562i
\(472\) −7.11759 + 1.27402i −0.327614 + 0.0586417i
\(473\) 7.01916i 0.322741i
\(474\) 9.15603 12.6595i 0.420551 0.581471i
\(475\) −14.5742 + 36.5785i −0.668710 + 1.67833i
\(476\) −15.1901 + 8.05329i −0.696238 + 0.369122i
\(477\) 7.81705 27.4586i 0.357918 1.25724i
\(478\) 9.63233 + 12.6711i 0.440572 + 0.579563i
\(479\) −4.55638 + 13.5229i −0.208186 + 0.617875i 0.791789 + 0.610795i \(0.209150\pi\)
−0.999975 + 0.00707972i \(0.997746\pi\)
\(480\) −0.451956 + 3.23822i −0.0206289 + 0.147804i
\(481\) −0.633096 0.599701i −0.0288667 0.0273440i
\(482\) −14.5877 11.0893i −0.664450 0.505102i
\(483\) −17.1017 + 9.59542i −0.778152 + 0.436607i
\(484\) 8.94335 0.972648i 0.406516 0.0442113i
\(485\) −1.99820 + 1.89279i −0.0907335 + 0.0859474i
\(486\) −28.0009 + 8.10056i −1.27015 + 0.367449i
\(487\) 3.47967 6.56335i 0.157679 0.297414i −0.792068 0.610433i \(-0.790996\pi\)
0.949747 + 0.313019i \(0.101340\pi\)
\(488\) 0.923548 + 0.626181i 0.0418071 + 0.0283459i
\(489\) −1.15128 4.69468i −0.0520625 0.212301i
\(490\) −5.08197 + 1.41100i −0.229580 + 0.0637426i
\(491\) −36.0859 5.91598i −1.62853 0.266984i −0.722870 0.690984i \(-0.757178\pi\)
−0.905663 + 0.423999i \(0.860626\pi\)
\(492\) 4.76743 + 15.7090i 0.214932 + 0.708218i
\(493\) 10.9455 12.8861i 0.492962 0.580359i
\(494\) −1.92088 + 0.104147i −0.0864247 + 0.00468581i
\(495\) 1.63367 + 0.768788i 0.0734280 + 0.0345544i
\(496\) −12.0793 + 26.1089i −0.542375 + 1.17233i
\(497\) 7.12897 32.3872i 0.319778 1.45277i
\(498\) −1.76158 13.2521i −0.0789382 0.593842i
\(499\) 17.9845 8.32050i 0.805095 0.372477i 0.0262204 0.999656i \(-0.491653\pi\)
0.778875 + 0.627179i \(0.215791\pi\)
\(500\) −3.95052 + 0.647656i −0.176673 + 0.0289640i
\(501\) 11.4291 5.62197i 0.510616 0.251171i
\(502\) 25.4471 + 42.2934i 1.13576 + 1.88765i
\(503\) −4.46176 27.2155i −0.198940 1.21348i −0.877733 0.479150i \(-0.840945\pi\)
0.678793 0.734330i \(-0.262503\pi\)
\(504\) −11.3932 + 3.08344i −0.507494 + 0.137347i
\(505\) 0.843185 + 3.83063i 0.0375213 + 0.170461i
\(506\) −11.0494 2.43216i −0.491207 0.108123i
\(507\) 11.1315 19.5397i 0.494366 0.867787i
\(508\) 2.13313 7.68285i 0.0946425 0.340871i
\(509\) 2.33997 + 43.1581i 0.103717 + 1.91295i 0.338606 + 0.940928i \(0.390045\pi\)
−0.234889 + 0.972022i \(0.575473\pi\)
\(510\) 1.69066 + 1.70172i 0.0748638 + 0.0753535i
\(511\) 18.5487 7.39049i 0.820548 0.326936i
\(512\) 3.93970 24.0311i 0.174112 1.06203i
\(513\) −41.5164 + 0.718394i −1.83300 + 0.0317179i
\(514\) 17.6091 + 52.2621i 0.776706 + 2.30518i
\(515\) −0.321669 + 0.474426i −0.0141744 + 0.0209057i
\(516\) 4.40951 6.84930i 0.194118 0.301524i
\(517\) −7.84676 9.23791i −0.345100 0.406283i
\(518\) 36.4050 + 38.4323i 1.59955 + 1.68862i
\(519\) −0.311207 13.0611i −0.0136605 0.573320i
\(520\) 0.0183255 + 0.0270281i 0.000803628 + 0.00118526i
\(521\) −2.88153 + 3.79059i −0.126242 + 0.166069i −0.854872 0.518839i \(-0.826364\pi\)
0.728630 + 0.684908i \(0.240157\pi\)
\(522\) −27.6050 + 20.7021i −1.20824 + 0.906108i
\(523\) −2.00081 + 36.9027i −0.0874891 + 1.61364i 0.544565 + 0.838718i \(0.316695\pi\)
−0.632055 + 0.774924i \(0.717788\pi\)
\(524\) −22.9858 7.74481i −1.00414 0.338333i
\(525\) −19.1124 30.1170i −0.834133 1.31441i
\(526\) −1.33787 + 12.3015i −0.0583337 + 0.536370i
\(527\) 7.79213 + 14.6975i 0.339430 + 0.640234i
\(528\) −16.4478 8.22430i −0.715801 0.357917i
\(529\) 13.4201 + 8.07458i 0.583481 + 0.351069i
\(530\) 4.79491 0.208278
\(531\) 14.7752 17.6832i 0.641188 0.767384i
\(532\) 49.9829 2.16703
\(533\) 0.698625 + 0.420349i 0.0302608 + 0.0182073i
\(534\) −27.2268 13.6140i −1.17822 0.589137i
\(535\) 0.245735 + 0.463505i 0.0106240 + 0.0200391i
\(536\) 0.669924 6.15985i 0.0289363 0.266065i
\(537\) −13.6610 21.5267i −0.589514 0.928946i
\(538\) 31.3771 + 10.5722i 1.35276 + 0.455799i
\(539\) 1.26581 23.3465i 0.0545222 1.00560i
\(540\) −1.11118 1.77647i −0.0478174 0.0764472i
\(541\) −4.09017 + 5.38053i −0.175850 + 0.231327i −0.875571 0.483089i \(-0.839515\pi\)
0.699721 + 0.714416i \(0.253308\pi\)
\(542\) −5.10538 7.52987i −0.219295 0.323436i
\(543\) −0.293679 12.3255i −0.0126030 0.528936i
\(544\) −13.2429 13.9804i −0.567786 0.599404i
\(545\) −2.56862 3.02402i −0.110028 0.129535i
\(546\) 0.943329 1.46528i 0.0403708 0.0627080i
\(547\) −9.09300 + 13.4112i −0.388789 + 0.573420i −0.970839 0.239732i \(-0.922940\pi\)
0.582050 + 0.813153i \(0.302251\pi\)
\(548\) 7.17821 + 21.3042i 0.306638 + 0.910069i
\(549\) −3.53756 + 0.361410i −0.150979 + 0.0154246i
\(550\) 3.32944 20.3087i 0.141968 0.865965i
\(551\) −45.6615 + 18.1932i −1.94525 + 0.775057i
\(552\) −3.11294 3.13330i −0.132495 0.133362i
\(553\) 1.09151 + 20.1317i 0.0464157 + 0.856087i
\(554\) −7.13250 + 25.6889i −0.303031 + 1.09142i
\(555\) 1.56482 2.74681i 0.0664230 0.116596i
\(556\) −24.3928 5.36926i −1.03449 0.227707i
\(557\) −3.81460 17.3299i −0.161630 0.734291i −0.985797 0.167944i \(-0.946287\pi\)
0.824167 0.566347i \(-0.191644\pi\)
\(558\) −8.86917 32.7713i −0.375462 1.38732i
\(559\) −0.0654526 0.399243i −0.00276835 0.0168862i
\(560\) −2.75981 4.58683i −0.116623 0.193829i
\(561\) −9.54198 + 4.69369i −0.402863 + 0.198168i
\(562\) −19.3943 + 3.17954i −0.818101 + 0.134121i
\(563\) 23.1927 10.7301i 0.977457 0.452220i 0.134919 0.990857i \(-0.456923\pi\)
0.842538 + 0.538637i \(0.181061\pi\)
\(564\) 1.85352 + 13.9438i 0.0780473 + 0.587139i
\(565\) −0.995914 + 4.52448i −0.0418984 + 0.190346i
\(566\) −10.3682 + 22.4104i −0.435807 + 0.941981i
\(567\) 21.5133 30.8557i 0.903473 1.29582i
\(568\) 7.45841 0.404383i 0.312948 0.0169675i
\(569\) −5.75458 + 6.77481i −0.241244 + 0.284015i −0.869438 0.494042i \(-0.835519\pi\)
0.628193 + 0.778057i \(0.283795\pi\)
\(570\) −2.02520 6.67319i −0.0848264 0.279509i
\(571\) 23.1523 + 3.79563i 0.968894 + 0.158842i 0.625393 0.780310i \(-0.284939\pi\)
0.343501 + 0.939152i \(0.388387\pi\)
\(572\) 0.414657 0.115129i 0.0173377 0.00481378i
\(573\) −4.70248 19.1758i −0.196449 0.801082i
\(574\) −40.9666 27.7760i −1.70991 1.15935i
\(575\) 6.25219 11.7929i 0.260734 0.491797i
\(576\) 5.49731 + 9.27294i 0.229055 + 0.386372i
\(577\) −16.7752 + 15.8903i −0.698360 + 0.661522i −0.952113 0.305747i \(-0.901094\pi\)
0.253752 + 0.967269i \(0.418335\pi\)
\(578\) 17.5569 1.90943i 0.730273 0.0794219i
\(579\) −1.95627 + 1.09763i −0.0812998 + 0.0456158i
\(580\) −1.97463 1.50107i −0.0819919 0.0623286i
\(581\) 12.5245 + 11.8638i 0.519604 + 0.492195i
\(582\) −4.57307 + 32.7656i −0.189560 + 1.35818i
\(583\) −6.78707 + 20.1433i −0.281092 + 0.834251i
\(584\) 2.72161 + 3.58021i 0.112621 + 0.148150i
\(585\) −0.100091 0.0284942i −0.00413824 0.00117809i
\(586\) 10.0541 5.33034i 0.415330 0.220194i
\(587\) 9.87285 24.7790i 0.407496 1.02274i −0.571816 0.820382i \(-0.693761\pi\)
0.979312 0.202356i \(-0.0648598\pi\)
\(588\) −15.9017 + 21.9863i −0.655774 + 0.906700i
\(589\) 48.3620i 1.99272i
\(590\) 3.53584 + 1.57349i 0.145568 + 0.0647796i
\(591\) −41.1058 3.48207i −1.69087 0.143233i
\(592\) −16.5997 + 27.5890i −0.682245 + 1.13390i
\(593\) −9.40180 3.74602i −0.386086 0.153831i 0.169016 0.985613i \(-0.445941\pi\)
−0.555101 + 0.831783i \(0.687320\pi\)
\(594\) 21.1110 5.03135i 0.866195 0.206439i
\(595\) −3.07735 0.334682i −0.126159 0.0137206i
\(596\) 20.7563 15.7785i 0.850210 0.646313i
\(597\) −7.45796 + 17.1828i −0.305234 + 0.703243i
\(598\) 0.651161 + 0.0353049i 0.0266279 + 0.00144373i
\(599\) −8.80242 + 9.29260i −0.359657 + 0.379685i −0.880563 0.473929i \(-0.842835\pi\)
0.520906 + 0.853614i \(0.325594\pi\)
\(600\) 5.38449 5.96262i 0.219821 0.243423i
\(601\) −16.7132 + 11.3318i −0.681746 + 0.462235i −0.852259 0.523120i \(-0.824768\pi\)
0.170513 + 0.985355i \(0.445458\pi\)
\(602\) 2.65538 + 24.4158i 0.108225 + 0.995113i
\(603\) 10.9747 + 16.4159i 0.446923 + 0.668505i
\(604\) 18.2871 15.5332i 0.744092 0.632037i
\(605\) 1.43102 + 0.758681i 0.0581794 + 0.0308448i
\(606\) 36.6499 + 29.6572i 1.48880 + 1.20474i
\(607\) 3.27795 1.10447i 0.133048 0.0448291i −0.251990 0.967730i \(-0.581085\pi\)
0.385038 + 0.922901i \(0.374188\pi\)
\(608\) 14.9771 + 53.9426i 0.607401 + 2.18766i
\(609\) 10.8869 43.1755i 0.441158 1.74956i
\(610\) −0.221056 0.554809i −0.00895029 0.0224635i
\(611\) 0.532459 + 0.452275i 0.0215410 + 0.0182971i
\(612\) 12.2597 + 1.41426i 0.495569 + 0.0571683i
\(613\) 11.7307 + 3.25701i 0.473798 + 0.131549i 0.496216 0.868199i \(-0.334722\pi\)
−0.0224174 + 0.999749i \(0.507136\pi\)
\(614\) −15.1838 7.02476i −0.612767 0.283496i
\(615\) −0.876775 + 2.82267i −0.0353550 + 0.113821i
\(616\) 8.58228 1.88910i 0.345790 0.0761141i
\(617\) −12.4806 26.9763i −0.502448 1.08602i −0.978432 0.206570i \(-0.933770\pi\)
0.475984 0.879454i \(-0.342092\pi\)
\(618\) 0.536773 + 6.86882i 0.0215922 + 0.276304i
\(619\) 0.777755 0.467960i 0.0312606 0.0188089i −0.499838 0.866119i \(-0.666607\pi\)
0.531098 + 0.847310i \(0.321779\pi\)
\(620\) 2.09116 1.25821i 0.0839831 0.0505310i
\(621\) 14.0175 + 1.27953i 0.562502 + 0.0513457i
\(622\) −10.5959 22.9026i −0.424856 0.918311i
\(623\) 38.3636 8.44446i 1.53700 0.338320i
\(624\) 1.01223 + 0.314417i 0.0405216 + 0.0125868i
\(625\) 21.7058 + 10.0422i 0.868231 + 0.401686i
\(626\) −29.9362 8.31173i −1.19649 0.332204i
\(627\) 30.9005 + 0.937899i 1.23405 + 0.0374561i
\(628\) 26.8481 + 22.8050i 1.07136 + 0.910018i
\(629\) 6.89154 + 17.2965i 0.274784 + 0.689655i
\(630\) 5.97347 + 2.05616i 0.237989 + 0.0819196i
\(631\) 3.19996 + 11.5252i 0.127388 + 0.458811i 0.999537 0.0304300i \(-0.00968766\pi\)
−0.872149 + 0.489241i \(0.837274\pi\)
\(632\) −4.30331 + 1.44996i −0.171177 + 0.0576761i
\(633\) 14.0373 17.3471i 0.557933 0.689484i
\(634\) −26.3742 13.9827i −1.04745 0.555325i
\(635\) 1.09415 0.929378i 0.0434200 0.0368813i
\(636\) 19.2771 15.3922i 0.764386 0.610339i
\(637\) 0.145704 + 1.33973i 0.00577302 + 0.0530820i
\(638\) 21.2634 14.4170i 0.841827 0.570773i
\(639\) −17.3880 + 16.2570i −0.687857 + 0.643115i
\(640\) 1.35127 1.42652i 0.0534137 0.0563882i
\(641\) 19.5210 + 1.05840i 0.771033 + 0.0418042i 0.435458 0.900209i \(-0.356587\pi\)
0.335575 + 0.942013i \(0.391069\pi\)
\(642\) 5.78449 + 2.51069i 0.228296 + 0.0990889i
\(643\) 26.4157 20.0807i 1.04173 0.791906i 0.0632021 0.998001i \(-0.479869\pi\)
0.978532 + 0.206095i \(0.0660756\pi\)
\(644\) −16.8444 1.83194i −0.663761 0.0721884i
\(645\) 1.34916 0.575160i 0.0531230 0.0226469i
\(646\) 38.1557 + 15.2026i 1.50122 + 0.598140i
\(647\) −15.1072 + 25.1083i −0.593925 + 0.987110i 0.403471 + 0.914992i \(0.367803\pi\)
−0.997396 + 0.0721182i \(0.977024\pi\)
\(648\) 7.99278 + 2.80966i 0.313986 + 0.110374i
\(649\) −11.6151 + 12.6267i −0.455932 + 0.495643i
\(650\) 1.18619i 0.0465261i
\(651\) 35.4991 + 25.6748i 1.39132 + 1.00628i
\(652\) 1.54593 3.87999i 0.0605432 0.151952i
\(653\) −23.8463 + 12.6425i −0.933177 + 0.494739i −0.864351 0.502890i \(-0.832270\pi\)
−0.0688261 + 0.997629i \(0.521925\pi\)
\(654\) −46.8073 9.13985i −1.83031 0.357396i
\(655\) −2.64284 3.47660i −0.103264 0.135842i
\(656\) 9.61232 28.5283i 0.375298 1.11384i
\(657\) −13.9767 3.17219i −0.545282 0.123759i
\(658\) −30.7893 29.1651i −1.20029 1.13698i
\(659\) 0.518624 + 0.394248i 0.0202027 + 0.0153577i 0.615227 0.788350i \(-0.289064\pi\)
−0.595024 + 0.803708i \(0.702858\pi\)
\(660\) 0.763370 + 1.36053i 0.0297141 + 0.0529587i
\(661\) 23.2908 2.53303i 0.905907 0.0985233i 0.356709 0.934216i \(-0.383899\pi\)
0.549198 + 0.835692i \(0.314933\pi\)
\(662\) −16.4094 + 15.5438i −0.637771 + 0.604129i
\(663\) 0.498971 0.355950i 0.0193784 0.0138240i
\(664\) −1.82006 + 3.43301i −0.0706322 + 0.133226i
\(665\) 7.44851 + 5.05022i 0.288841 + 0.195839i
\(666\) −5.90282 37.5370i −0.228730 1.45453i
\(667\) 16.0549 4.45761i 0.621647 0.172600i
\(668\) 10.8604 + 1.78048i 0.420202 + 0.0688887i
\(669\) 21.8002 6.61599i 0.842844 0.255789i
\(670\) −2.14701 + 2.52765i −0.0829461 + 0.0976516i
\(671\) 2.64364 0.143334i 0.102056 0.00553334i
\(672\) −47.5466 17.6439i −1.83415 0.680629i
\(673\) −5.30756 + 11.4721i −0.204591 + 0.442217i −0.982525 0.186129i \(-0.940406\pi\)
0.777934 + 0.628346i \(0.216268\pi\)
\(674\) 13.7705 62.5601i 0.530421 2.40973i
\(675\) −0.943615 + 25.5861i −0.0363198 + 0.984810i
\(676\) 17.6348 8.15873i 0.678262 0.313797i
\(677\) 1.11038 0.182037i 0.0426753 0.00699625i −0.140407 0.990094i \(-0.544841\pi\)
0.183082 + 0.983098i \(0.441393\pi\)
\(678\) 24.5791 + 49.9679i 0.943956 + 1.91900i
\(679\) −22.0099 36.5808i −0.844663 1.40384i
\(680\) −0.112797 0.688028i −0.00432555 0.0263847i
\(681\) −0.579251 1.59272i −0.0221970 0.0610333i
\(682\) 5.43379 + 24.6860i 0.208071 + 0.945275i
\(683\) 18.1446 + 3.99392i 0.694282 + 0.152823i 0.548073 0.836431i \(-0.315362\pi\)
0.146209 + 0.989254i \(0.453293\pi\)
\(684\) −29.5636 20.3272i −1.13039 0.777231i
\(685\) −1.08284 + 3.90005i −0.0413733 + 0.149013i
\(686\) −1.46726 27.0621i −0.0560203 1.03323i
\(687\) −27.5742 + 27.3950i −1.05202 + 1.04518i
\(688\) −13.8769 + 5.52907i −0.529053 + 0.210794i
\(689\) 0.198209 1.20902i 0.00755117 0.0460601i
\(690\) 0.437918 + 2.32311i 0.0166712 + 0.0884393i
\(691\) 7.98566 + 23.7006i 0.303789 + 0.901613i 0.985453 + 0.169948i \(0.0543600\pi\)
−0.681664 + 0.731665i \(0.738743\pi\)
\(692\) 6.33504 9.34349i 0.240822 0.355186i
\(693\) −17.0932 + 22.1840i −0.649317 + 0.842699i
\(694\) −35.3203 41.5823i −1.34074 1.57844i
\(695\) −3.09254 3.26475i −0.117307 0.123839i
\(696\) 10.0262 0.238894i 0.380041 0.00905525i
\(697\) −9.76922 14.4085i −0.370035 0.545762i
\(698\) −7.71702 + 10.1516i −0.292094 + 0.384243i
\(699\) 13.1602 11.7293i 0.497763 0.443643i
\(700\) 1.66857 30.7750i 0.0630661 1.16319i
\(701\) 23.8370 + 8.03163i 0.900312 + 0.303350i 0.731133 0.682235i \(-0.238992\pi\)
0.169179 + 0.985585i \(0.445888\pi\)
\(702\) −1.15386 + 0.483036i −0.0435496 + 0.0182310i
\(703\) 5.85231 53.8111i 0.220724 2.02952i
\(704\) −3.75944 7.09106i −0.141689 0.267254i
\(705\) −1.13265 + 2.26520i −0.0426581 + 0.0853123i
\(706\) −16.7207 10.0605i −0.629291 0.378632i
\(707\) −60.8393 −2.28810
\(708\) 19.2663 5.02446i 0.724070 0.188831i
\(709\) −36.6564 −1.37666 −0.688330 0.725398i \(-0.741656\pi\)
−0.688330 + 0.725398i \(0.741656\pi\)
\(710\) −3.42561 2.06112i −0.128561 0.0773525i
\(711\) 7.54164 12.3513i 0.282834 0.463209i
\(712\) 4.14432 + 7.81702i 0.155315 + 0.292955i
\(713\) −1.77253 + 16.2981i −0.0663817 + 0.610369i
\(714\) −31.4156 + 19.9365i −1.17570 + 0.746106i
\(715\) 0.0734252 + 0.0247398i 0.00274595 + 0.000925217i
\(716\) 1.19265 21.9971i 0.0445713 0.822069i
\(717\) 9.80946 + 11.0061i 0.366341 + 0.411031i
\(718\) −36.9400 + 48.5938i −1.37859 + 1.81350i
\(719\) −5.40102 7.96591i −0.201424 0.297078i 0.713539 0.700615i \(-0.247091\pi\)
−0.914963 + 0.403537i \(0.867781\pi\)
\(720\) −0.233038 + 3.83536i −0.00868481 + 0.142935i
\(721\) −6.11420 6.45469i −0.227705 0.240385i
\(722\) −54.3015 63.9287i −2.02089 2.37918i
\(723\) −14.2713 9.18774i −0.530757 0.341696i
\(724\) 5.97822 8.81722i 0.222179 0.327689i
\(725\) 9.67745 + 28.7217i 0.359412 + 1.06670i
\(726\) 19.1317 3.60643i 0.710046 0.133847i
\(727\) 4.60242 28.0735i 0.170694 1.04119i −0.752989 0.658033i \(-0.771389\pi\)
0.923683 0.383156i \(-0.125163\pi\)
\(728\) −0.470537 + 0.187479i −0.0174393 + 0.00694843i
\(729\) −25.2730 + 9.50121i −0.936039 + 0.351897i
\(730\) −0.130317 2.40355i −0.00482324 0.0889595i
\(731\) −2.31091 + 8.32315i −0.0854721 + 0.307843i
\(732\) −2.66971 1.52089i −0.0986752 0.0562139i
\(733\) −50.1214 11.0326i −1.85128 0.407497i −0.857090 0.515167i \(-0.827730\pi\)
−0.994187 + 0.107670i \(0.965661\pi\)
\(734\) 1.68936 + 7.67485i 0.0623555 + 0.283284i
\(735\) −4.59116 + 1.66974i −0.169347 + 0.0615893i
\(736\) −3.07026 18.7277i −0.113171 0.690314i
\(737\) −7.57957 12.5973i −0.279197 0.464029i
\(738\) 12.9346 + 33.0892i 0.476129 + 1.21803i
\(739\) −7.70379 + 1.26297i −0.283389 + 0.0464592i −0.301800 0.953371i \(-0.597587\pi\)
0.0184113 + 0.999830i \(0.494139\pi\)
\(740\) 2.47904 1.14692i 0.0911312 0.0421618i
\(741\) −1.76634 + 0.234796i −0.0648881 + 0.00862545i
\(742\) −15.9882 + 72.6351i −0.586945 + 2.66652i
\(743\) 16.2787 35.1859i 0.597208 1.29084i −0.339458 0.940621i \(-0.610244\pi\)
0.936666 0.350224i \(-0.113894\pi\)
\(744\) −3.43302 + 9.25128i −0.125861 + 0.339168i
\(745\) 4.68737 0.254142i 0.171732 0.00931103i
\(746\) −30.7444 + 36.1951i −1.12563 + 1.32520i
\(747\) −2.58308 12.1107i −0.0945100 0.443106i
\(748\) −9.06718 1.48649i −0.331529 0.0543514i
\(749\) −7.84072 + 2.17697i −0.286494 + 0.0795446i
\(750\) −8.41426 + 2.06343i −0.307245 + 0.0753457i
\(751\) 34.8800 + 23.6493i 1.27279 + 0.862974i 0.995213 0.0977296i \(-0.0311580\pi\)
0.277578 + 0.960703i \(0.410468\pi\)
\(752\) 12.0824 22.7899i 0.440601 0.831062i
\(753\) 26.5514 + 37.2198i 0.967587 + 1.35636i
\(754\) −1.07501 + 1.01830i −0.0391495 + 0.0370844i
\(755\) 4.29462 0.467068i 0.156297 0.0169984i
\(756\) 30.6158 10.9090i 1.11348 0.396757i
\(757\) −17.6835 13.4426i −0.642718 0.488581i 0.232318 0.972640i \(-0.425369\pi\)
−0.875036 + 0.484059i \(0.839162\pi\)
\(758\) 29.9750 + 28.3938i 1.08874 + 1.03131i
\(759\) −10.3792 1.44862i −0.376741 0.0525815i
\(760\) −0.647201 + 1.92082i −0.0234764 + 0.0696756i
\(761\) −7.43391 9.77915i −0.269479 0.354494i 0.641371 0.767231i \(-0.278366\pi\)
−0.910850 + 0.412737i \(0.864573\pi\)
\(762\) 3.30698 16.9358i 0.119799 0.613519i
\(763\) 54.3737 28.8271i 1.96846 1.04361i
\(764\) 6.31448 15.8481i 0.228450 0.573365i
\(765\) 1.68406 + 1.44946i 0.0608873 + 0.0524054i
\(766\) 10.3495i 0.373944i
\(767\) 0.542913 0.826506i 0.0196035 0.0298434i
\(768\) 3.04423 35.9371i 0.109849 1.29677i
\(769\) 20.2284 33.6199i 0.729456 1.21236i −0.240869 0.970558i \(-0.577432\pi\)
0.970324 0.241807i \(-0.0777401\pi\)
\(770\) −4.36946 1.74095i −0.157464 0.0627395i
\(771\) 20.0328 + 46.9911i 0.721463 + 1.69234i
\(772\) −1.92684 0.209557i −0.0693485 0.00754210i
\(773\) 17.9727