Properties

Label 273.2.by.d.97.8
Level $273$
Weight $2$
Character 273.97
Analytic conductor $2.180$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.by (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(8\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 97.8
Character \(\chi\) \(=\) 273.97
Dual form 273.2.by.d.76.8

$q$-expansion

\(f(q)\) \(=\) \(q+(0.687394 + 2.56539i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(-4.37666 + 2.52687i) q^{4} +(-1.17771 - 1.17771i) q^{5} +(0.687394 - 2.56539i) q^{6} +(-1.53750 - 2.15316i) q^{7} +(-5.73490 - 5.73490i) q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})\) \(q+(0.687394 + 2.56539i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(-4.37666 + 2.52687i) q^{4} +(-1.17771 - 1.17771i) q^{5} +(0.687394 - 2.56539i) q^{6} +(-1.53750 - 2.15316i) q^{7} +(-5.73490 - 5.73490i) q^{8} +(0.500000 + 0.866025i) q^{9} +(2.21174 - 3.83085i) q^{10} +(-4.50301 + 1.20658i) q^{11} +5.05373 q^{12} +(-3.59585 - 0.264293i) q^{13} +(4.46682 - 5.42436i) q^{14} +(0.431073 + 1.60879i) q^{15} +(5.71638 - 9.90107i) q^{16} +(3.15625 + 5.46679i) q^{17} +(-1.87800 + 1.87800i) q^{18} +(-1.09384 + 4.08225i) q^{19} +(8.13039 + 2.17853i) q^{20} +(0.254935 + 2.63344i) q^{21} +(-6.19069 - 10.7226i) q^{22} +(3.67599 + 2.12233i) q^{23} +(2.09912 + 7.83402i) q^{24} -2.22598i q^{25} +(-1.79375 - 9.40643i) q^{26} -1.00000i q^{27} +(12.1699 + 5.53859i) q^{28} +(-0.526889 + 0.912598i) q^{29} +(-3.83085 + 2.21174i) q^{30} +(-5.61834 - 5.61834i) q^{31} +(13.6615 + 3.66058i) q^{32} +(4.50301 + 1.20658i) q^{33} +(-11.8549 + 11.8549i) q^{34} +(-0.725070 + 4.34654i) q^{35} +(-4.37666 - 2.52687i) q^{36} +(0.572076 - 0.153287i) q^{37} -11.2245 q^{38} +(2.98195 + 2.02681i) q^{39} +13.5081i q^{40} +(1.24468 - 0.333510i) q^{41} +(-6.58056 + 2.46422i) q^{42} +(-9.27990 + 5.35775i) q^{43} +(16.6593 - 16.6593i) q^{44} +(0.431073 - 1.60879i) q^{45} +(-2.91776 + 10.8892i) q^{46} +(2.85718 - 2.85718i) q^{47} +(-9.90107 + 5.71638i) q^{48} +(-2.27219 + 6.62096i) q^{49} +(5.71050 - 1.53012i) q^{50} -6.31250i q^{51} +(16.4057 - 7.92952i) q^{52} -0.398831 q^{53} +(2.56539 - 0.687394i) q^{54} +(6.72427 + 3.88226i) q^{55} +(-3.53074 + 21.1656i) q^{56} +(2.98841 - 2.98841i) q^{57} +(-2.70335 - 0.724361i) q^{58} +(-8.26243 - 2.21391i) q^{59} +(-5.95186 - 5.95186i) q^{60} +(4.22976 - 2.44205i) q^{61} +(10.5512 - 18.2752i) q^{62} +(1.09594 - 2.40809i) q^{63} +14.6977i q^{64} +(3.92362 + 4.54615i) q^{65} +12.3814i q^{66} +(-2.76762 - 10.3289i) q^{67} +(-27.6277 - 15.9509i) q^{68} +(-2.12233 - 3.67599i) q^{69} +(-11.6490 + 1.12770i) q^{70} +(4.31760 + 1.15690i) q^{71} +(2.09912 - 7.83402i) q^{72} +(-0.935407 + 0.935407i) q^{73} +(0.786484 + 1.36223i) q^{74} +(-1.11299 + 1.92775i) q^{75} +(-5.52795 - 20.6306i) q^{76} +(9.52134 + 7.84059i) q^{77} +(-3.14978 + 9.04309i) q^{78} -0.927988 q^{79} +(-18.3929 + 4.92836i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(1.71117 + 2.96383i) q^{82} +(7.79378 + 7.79378i) q^{83} +(-7.77012 - 10.8815i) q^{84} +(2.72115 - 10.1555i) q^{85} +(-20.1237 - 20.1237i) q^{86} +(0.912598 - 0.526889i) q^{87} +(32.7439 + 18.9047i) q^{88} +(1.28296 + 4.78807i) q^{89} +4.42348 q^{90} +(4.95956 + 8.14879i) q^{91} -21.4514 q^{92} +(2.05645 + 7.67479i) q^{93} +(9.29378 + 5.36577i) q^{94} +(6.09595 - 3.51950i) q^{95} +(-10.0009 - 10.0009i) q^{96} +(-1.65635 + 6.18160i) q^{97} +(-18.5472 - 1.27783i) q^{98} +(-3.29643 - 3.29643i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32q - 2q^{2} + 6q^{4} + 2q^{5} - 2q^{6} + 2q^{7} + 2q^{8} + 16q^{9} + O(q^{10}) \) \( 32q - 2q^{2} + 6q^{4} + 2q^{5} - 2q^{6} + 2q^{7} + 2q^{8} + 16q^{9} + 2q^{10} - 4q^{11} + 32q^{12} + 6q^{13} + 34q^{14} + 4q^{15} + 14q^{16} - 8q^{17} + 2q^{18} + 2q^{19} + 44q^{20} - 4q^{21} - 4q^{22} - 18q^{23} + 4q^{24} - 28q^{26} - 32q^{28} - 18q^{29} - 14q^{31} - 8q^{32} + 4q^{33} - 66q^{34} + 22q^{35} + 6q^{36} - 24q^{37} + 24q^{38} + 8q^{39} - 26q^{42} - 6q^{43} - 20q^{44} + 4q^{45} - 58q^{46} - 28q^{47} - 60q^{48} + 8q^{49} + 70q^{50} + 28q^{52} - 80q^{53} - 4q^{54} + 60q^{55} - 54q^{56} + 16q^{57} - 4q^{58} - 42q^{59} - 58q^{60} + 36q^{61} + 52q^{62} + 4q^{63} + 14q^{65} + 26q^{67} - 72q^{68} + 2q^{69} - 116q^{70} - 4q^{71} + 4q^{72} + 12q^{73} - 18q^{74} + 16q^{75} - 48q^{76} + 28q^{77} - 14q^{78} - 4q^{79} - 98q^{80} - 16q^{81} + 20q^{82} - 36q^{83} - 18q^{84} - 10q^{85} - 40q^{86} + 96q^{88} - 54q^{89} + 4q^{90} + 148q^{91} - 4q^{92} + 2q^{93} + 60q^{95} + 22q^{96} - 40q^{97} + 36q^{98} + 4q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{12}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.687394 + 2.56539i 0.486061 + 1.81400i 0.575235 + 0.817988i \(0.304911\pi\)
−0.0891737 + 0.996016i \(0.528423\pi\)
\(3\) −0.866025 0.500000i −0.500000 0.288675i
\(4\) −4.37666 + 2.52687i −2.18833 + 1.26343i
\(5\) −1.17771 1.17771i −0.526690 0.526690i 0.392894 0.919584i \(-0.371474\pi\)
−0.919584 + 0.392894i \(0.871474\pi\)
\(6\) 0.687394 2.56539i 0.280627 1.04732i
\(7\) −1.53750 2.15316i −0.581120 0.813818i
\(8\) −5.73490 5.73490i −2.02759 2.02759i
\(9\) 0.500000 + 0.866025i 0.166667 + 0.288675i
\(10\) 2.21174 3.83085i 0.699414 1.21142i
\(11\) −4.50301 + 1.20658i −1.35771 + 0.363797i −0.862975 0.505247i \(-0.831401\pi\)
−0.494734 + 0.869044i \(0.664735\pi\)
\(12\) 5.05373 1.45889
\(13\) −3.59585 0.264293i −0.997310 0.0733017i
\(14\) 4.46682 5.42436i 1.19381 1.44972i
\(15\) 0.431073 + 1.60879i 0.111303 + 0.415387i
\(16\) 5.71638 9.90107i 1.42910 2.47527i
\(17\) 3.15625 + 5.46679i 0.765503 + 1.32589i 0.939980 + 0.341230i \(0.110843\pi\)
−0.174476 + 0.984661i \(0.555823\pi\)
\(18\) −1.87800 + 1.87800i −0.442648 + 0.442648i
\(19\) −1.09384 + 4.08225i −0.250943 + 0.936532i 0.719360 + 0.694638i \(0.244435\pi\)
−0.970303 + 0.241894i \(0.922231\pi\)
\(20\) 8.13039 + 2.17853i 1.81801 + 0.487134i
\(21\) 0.254935 + 2.63344i 0.0556313 + 0.574664i
\(22\) −6.19069 10.7226i −1.31986 2.28606i
\(23\) 3.67599 + 2.12233i 0.766496 + 0.442537i 0.831623 0.555340i \(-0.187412\pi\)
−0.0651270 + 0.997877i \(0.520745\pi\)
\(24\) 2.09912 + 7.83402i 0.428481 + 1.59911i
\(25\) 2.22598i 0.445196i
\(26\) −1.79375 9.40643i −0.351784 1.84475i
\(27\) 1.00000i 0.192450i
\(28\) 12.1699 + 5.53859i 2.29989 + 1.04670i
\(29\) −0.526889 + 0.912598i −0.0978408 + 0.169465i −0.910791 0.412868i \(-0.864527\pi\)
0.812950 + 0.582334i \(0.197860\pi\)
\(30\) −3.83085 + 2.21174i −0.699414 + 0.403807i
\(31\) −5.61834 5.61834i −1.00908 1.00908i −0.999958 0.00912491i \(-0.997095\pi\)
−0.00912491 0.999958i \(-0.502905\pi\)
\(32\) 13.6615 + 3.66058i 2.41503 + 0.647105i
\(33\) 4.50301 + 1.20658i 0.783874 + 0.210038i
\(34\) −11.8549 + 11.8549i −2.03309 + 2.03309i
\(35\) −0.725070 + 4.34654i −0.122559 + 0.734700i
\(36\) −4.37666 2.52687i −0.729444 0.421145i
\(37\) 0.572076 0.153287i 0.0940488 0.0252003i −0.211488 0.977381i \(-0.567831\pi\)
0.305537 + 0.952180i \(0.401164\pi\)
\(38\) −11.2245 −1.82085
\(39\) 2.98195 + 2.02681i 0.477495 + 0.324549i
\(40\) 13.5081i 2.13583i
\(41\) 1.24468 0.333510i 0.194386 0.0520856i −0.160312 0.987066i \(-0.551250\pi\)
0.354698 + 0.934981i \(0.384584\pi\)
\(42\) −6.58056 + 2.46422i −1.01540 + 0.380237i
\(43\) −9.27990 + 5.35775i −1.41517 + 0.817050i −0.995869 0.0907973i \(-0.971058\pi\)
−0.419302 + 0.907847i \(0.637725\pi\)
\(44\) 16.6593 16.6593i 2.51148 2.51148i
\(45\) 0.431073 1.60879i 0.0642606 0.239824i
\(46\) −2.91776 + 10.8892i −0.430200 + 1.60553i
\(47\) 2.85718 2.85718i 0.416762 0.416762i −0.467324 0.884086i \(-0.654782\pi\)
0.884086 + 0.467324i \(0.154782\pi\)
\(48\) −9.90107 + 5.71638i −1.42910 + 0.825089i
\(49\) −2.27219 + 6.62096i −0.324598 + 0.945852i
\(50\) 5.71050 1.53012i 0.807587 0.216392i
\(51\) 6.31250i 0.883927i
\(52\) 16.4057 7.92952i 2.27506 1.09963i
\(53\) −0.398831 −0.0547836 −0.0273918 0.999625i \(-0.508720\pi\)
−0.0273918 + 0.999625i \(0.508720\pi\)
\(54\) 2.56539 0.687394i 0.349105 0.0935425i
\(55\) 6.72427 + 3.88226i 0.906700 + 0.523483i
\(56\) −3.53074 + 21.1656i −0.471815 + 2.82837i
\(57\) 2.98841 2.98841i 0.395825 0.395825i
\(58\) −2.70335 0.724361i −0.354967 0.0951132i
\(59\) −8.26243 2.21391i −1.07568 0.288227i −0.322854 0.946449i \(-0.604642\pi\)
−0.752824 + 0.658222i \(0.771309\pi\)
\(60\) −5.95186 5.95186i −0.768381 0.768381i
\(61\) 4.22976 2.44205i 0.541565 0.312673i −0.204148 0.978940i \(-0.565442\pi\)
0.745713 + 0.666267i \(0.232109\pi\)
\(62\) 10.5512 18.2752i 1.34001 2.32096i
\(63\) 1.09594 2.40809i 0.138076 0.303391i
\(64\) 14.6977i 1.83721i
\(65\) 3.92362 + 4.54615i 0.486666 + 0.563880i
\(66\) 12.3814i 1.52404i
\(67\) −2.76762 10.3289i −0.338118 1.26188i −0.900449 0.434962i \(-0.856762\pi\)
0.562330 0.826913i \(-0.309905\pi\)
\(68\) −27.6277 15.9509i −3.35035 1.93433i
\(69\) −2.12233 3.67599i −0.255499 0.442537i
\(70\) −11.6490 + 1.12770i −1.39232 + 0.134786i
\(71\) 4.31760 + 1.15690i 0.512405 + 0.137298i 0.505751 0.862679i \(-0.331215\pi\)
0.00665372 + 0.999978i \(0.497882\pi\)
\(72\) 2.09912 7.83402i 0.247384 0.923248i
\(73\) −0.935407 + 0.935407i −0.109481 + 0.109481i −0.759725 0.650244i \(-0.774667\pi\)
0.650244 + 0.759725i \(0.274667\pi\)
\(74\) 0.786484 + 1.36223i 0.0914269 + 0.158356i
\(75\) −1.11299 + 1.92775i −0.128517 + 0.222598i
\(76\) −5.52795 20.6306i −0.634100 2.36649i
\(77\) 9.52134 + 7.84059i 1.08506 + 0.893518i
\(78\) −3.14978 + 9.04309i −0.356643 + 1.02393i
\(79\) −0.927988 −0.104407 −0.0522034 0.998636i \(-0.516624\pi\)
−0.0522034 + 0.998636i \(0.516624\pi\)
\(80\) −18.3929 + 4.92836i −2.05639 + 0.551008i
\(81\) −0.500000 + 0.866025i −0.0555556 + 0.0962250i
\(82\) 1.71117 + 2.96383i 0.188967 + 0.327300i
\(83\) 7.79378 + 7.79378i 0.855479 + 0.855479i 0.990802 0.135323i \(-0.0432072\pi\)
−0.135323 + 0.990802i \(0.543207\pi\)
\(84\) −7.77012 10.8815i −0.847789 1.18727i
\(85\) 2.72115 10.1555i 0.295150 1.10152i
\(86\) −20.1237 20.1237i −2.16999 2.16999i
\(87\) 0.912598 0.526889i 0.0978408 0.0564884i
\(88\) 32.7439 + 18.9047i 3.49052 + 2.01525i
\(89\) 1.28296 + 4.78807i 0.135993 + 0.507534i 0.999992 + 0.00403982i \(0.00128592\pi\)
−0.863998 + 0.503495i \(0.832047\pi\)
\(90\) 4.42348 0.466276
\(91\) 4.95956 + 8.14879i 0.519903 + 0.854225i
\(92\) −21.4514 −2.23646
\(93\) 2.05645 + 7.67479i 0.213244 + 0.795839i
\(94\) 9.29378 + 5.36577i 0.958580 + 0.553436i
\(95\) 6.09595 3.51950i 0.625431 0.361093i
\(96\) −10.0009 10.0009i −1.02071 1.02071i
\(97\) −1.65635 + 6.18160i −0.168177 + 0.627646i 0.829436 + 0.558601i \(0.188662\pi\)
−0.997614 + 0.0690447i \(0.978005\pi\)
\(98\) −18.5472 1.27783i −1.87355 0.129081i
\(99\) −3.29643 3.29643i −0.331304 0.331304i
\(100\) 5.62475 + 9.74235i 0.562475 + 0.974235i
\(101\) −0.472587 + 0.818544i −0.0470241 + 0.0814482i −0.888579 0.458723i \(-0.848307\pi\)
0.841555 + 0.540171i \(0.181640\pi\)
\(102\) 16.1940 4.33918i 1.60345 0.429643i
\(103\) −8.04965 −0.793156 −0.396578 0.918001i \(-0.629802\pi\)
−0.396578 + 0.918001i \(0.629802\pi\)
\(104\) 19.1062 + 22.1375i 1.87351 + 2.17077i
\(105\) 2.80120 3.40168i 0.273369 0.331970i
\(106\) −0.274154 1.02316i −0.0266282 0.0993777i
\(107\) −8.52440 + 14.7647i −0.824085 + 1.42736i 0.0785320 + 0.996912i \(0.474977\pi\)
−0.902617 + 0.430445i \(0.858357\pi\)
\(108\) 2.52687 + 4.37666i 0.243148 + 0.421145i
\(109\) 1.56781 1.56781i 0.150169 0.150169i −0.628025 0.778193i \(-0.716136\pi\)
0.778193 + 0.628025i \(0.216136\pi\)
\(110\) −5.33728 + 19.9190i −0.508890 + 1.89920i
\(111\) −0.572076 0.153287i −0.0542991 0.0145494i
\(112\) −30.1075 + 2.91461i −2.84489 + 0.275405i
\(113\) −3.02535 5.24006i −0.284601 0.492943i 0.687911 0.725795i \(-0.258528\pi\)
−0.972512 + 0.232852i \(0.925194\pi\)
\(114\) 9.72066 + 5.61223i 0.910423 + 0.525633i
\(115\) −1.82976 6.82876i −0.170626 0.636786i
\(116\) 5.32551i 0.494462i
\(117\) −1.56904 3.24625i −0.145058 0.300115i
\(118\) 22.7182i 2.09138i
\(119\) 6.91813 15.2011i 0.634184 1.39348i
\(120\) 6.75407 11.6984i 0.616560 1.06791i
\(121\) 9.29500 5.36647i 0.845000 0.487861i
\(122\) 9.17232 + 9.17232i 0.830423 + 0.830423i
\(123\) −1.24468 0.333510i −0.112229 0.0300716i
\(124\) 38.7864 + 10.3928i 3.48312 + 0.933299i
\(125\) −8.51014 + 8.51014i −0.761170 + 0.761170i
\(126\) 6.93104 + 1.15620i 0.617466 + 0.103003i
\(127\) −1.60575 0.927079i −0.142487 0.0822650i 0.427062 0.904222i \(-0.359549\pi\)
−0.569549 + 0.821958i \(0.692882\pi\)
\(128\) −10.3824 + 2.78196i −0.917684 + 0.245893i
\(129\) 10.7155 0.943448
\(130\) −8.96556 + 13.1906i −0.786332 + 1.15689i
\(131\) 4.94735i 0.432252i −0.976365 0.216126i \(-0.930658\pi\)
0.976365 0.216126i \(-0.0693422\pi\)
\(132\) −22.7570 + 6.09773i −1.98075 + 0.530739i
\(133\) 10.4715 3.92126i 0.907994 0.340016i
\(134\) 24.5952 14.2000i 2.12470 1.22670i
\(135\) −1.17771 + 1.17771i −0.101362 + 0.101362i
\(136\) 13.2507 49.4523i 1.13624 4.24050i
\(137\) 1.82558 6.81316i 0.155970 0.582088i −0.843050 0.537834i \(-0.819243\pi\)
0.999020 0.0442531i \(-0.0140908\pi\)
\(138\) 7.97146 7.97146i 0.678576 0.678576i
\(139\) 10.4051 6.00737i 0.882547 0.509539i 0.0110494 0.999939i \(-0.496483\pi\)
0.871497 + 0.490400i \(0.163149\pi\)
\(140\) −7.80975 20.8555i −0.660044 1.76261i
\(141\) −3.90298 + 1.04580i −0.328690 + 0.0880722i
\(142\) 11.8716i 0.996240i
\(143\) 16.5111 3.14856i 1.38072 0.263296i
\(144\) 11.4328 0.952731
\(145\) 1.69530 0.454256i 0.140787 0.0377239i
\(146\) −3.04268 1.75669i −0.251814 0.145385i
\(147\) 5.27825 4.59783i 0.435343 0.379223i
\(148\) −2.11645 + 2.11645i −0.173971 + 0.173971i
\(149\) −4.76731 1.27740i −0.390553 0.104648i 0.0581981 0.998305i \(-0.481465\pi\)
−0.448752 + 0.893657i \(0.648131\pi\)
\(150\) −5.71050 1.53012i −0.466260 0.124934i
\(151\) −13.7886 13.7886i −1.12210 1.12210i −0.991425 0.130675i \(-0.958286\pi\)
−0.130675 0.991425i \(-0.541714\pi\)
\(152\) 29.6843 17.1383i 2.40772 1.39010i
\(153\) −3.15625 + 5.46679i −0.255168 + 0.441964i
\(154\) −13.5692 + 29.8155i −1.09344 + 2.40260i
\(155\) 13.2336i 1.06295i
\(156\) −18.1725 1.33567i −1.45496 0.106939i
\(157\) 19.9821i 1.59474i 0.603489 + 0.797371i \(0.293777\pi\)
−0.603489 + 0.797371i \(0.706223\pi\)
\(158\) −0.637894 2.38065i −0.0507481 0.189394i
\(159\) 0.345397 + 0.199415i 0.0273918 + 0.0158147i
\(160\) −11.7782 20.4004i −0.931147 1.61279i
\(161\) −1.08211 11.1781i −0.0852824 0.880955i
\(162\) −2.56539 0.687394i −0.201556 0.0540068i
\(163\) −1.46606 + 5.47141i −0.114831 + 0.428554i −0.999274 0.0380934i \(-0.987872\pi\)
0.884444 + 0.466647i \(0.154538\pi\)
\(164\) −4.60480 + 4.60480i −0.359574 + 0.359574i
\(165\) −3.88226 6.72427i −0.302233 0.523483i
\(166\) −14.6367 + 25.3515i −1.13603 + 1.96766i
\(167\) 1.10228 + 4.11377i 0.0852972 + 0.318333i 0.995370 0.0961143i \(-0.0306414\pi\)
−0.910073 + 0.414448i \(0.863975\pi\)
\(168\) 13.6405 16.5645i 1.05239 1.27798i
\(169\) 12.8603 + 1.90072i 0.989254 + 0.146209i
\(170\) 27.9233 2.14162
\(171\) −4.08225 + 1.09384i −0.312177 + 0.0836477i
\(172\) 27.0767 46.8982i 2.06458 3.57595i
\(173\) 0.873930 + 1.51369i 0.0664437 + 0.115084i 0.897333 0.441353i \(-0.145501\pi\)
−0.830890 + 0.556437i \(0.812168\pi\)
\(174\) 1.97899 + 1.97899i 0.150027 + 0.150027i
\(175\) −4.79288 + 3.42244i −0.362308 + 0.258712i
\(176\) −13.7945 + 51.4819i −1.03980 + 3.88059i
\(177\) 6.04852 + 6.04852i 0.454635 + 0.454635i
\(178\) −11.4014 + 6.58258i −0.854568 + 0.493385i
\(179\) −19.7578 11.4072i −1.47677 0.852613i −0.477113 0.878842i \(-0.658317\pi\)
−0.999656 + 0.0262285i \(0.991650\pi\)
\(180\) 2.17853 + 8.13039i 0.162378 + 0.606003i
\(181\) 13.7425 1.02147 0.510737 0.859737i \(-0.329372\pi\)
0.510737 + 0.859737i \(0.329372\pi\)
\(182\) −17.4957 + 18.3246i −1.29686 + 1.35831i
\(183\) −4.88410 −0.361043
\(184\) −8.91006 33.2528i −0.656858 2.45143i
\(185\) −0.854271 0.493214i −0.0628073 0.0362618i
\(186\) −18.2752 + 10.5512i −1.34001 + 0.773653i
\(187\) −20.8087 20.8087i −1.52169 1.52169i
\(188\) −5.28519 + 19.7246i −0.385462 + 1.43856i
\(189\) −2.15316 + 1.53750i −0.156619 + 0.111837i
\(190\) 13.2192 + 13.2192i 0.959021 + 0.959021i
\(191\) 6.02586 + 10.4371i 0.436016 + 0.755201i 0.997378 0.0723688i \(-0.0230559\pi\)
−0.561362 + 0.827570i \(0.689723\pi\)
\(192\) 7.34885 12.7286i 0.530358 0.918606i
\(193\) −4.42174 + 1.18480i −0.318284 + 0.0852838i −0.414424 0.910084i \(-0.636017\pi\)
0.0961404 + 0.995368i \(0.469350\pi\)
\(194\) −16.9968 −1.22030
\(195\) −1.12488 5.89889i −0.0805546 0.422428i
\(196\) −6.78570 34.7192i −0.484693 2.47995i
\(197\) 5.05766 + 18.8754i 0.360343 + 1.34482i 0.873625 + 0.486599i \(0.161763\pi\)
−0.513282 + 0.858220i \(0.671570\pi\)
\(198\) 6.19069 10.7226i 0.439953 0.762021i
\(199\) −12.2497 21.2170i −0.868355 1.50403i −0.863677 0.504046i \(-0.831844\pi\)
−0.00467796 0.999989i \(-0.501489\pi\)
\(200\) −12.7658 + 12.7658i −0.902676 + 0.902676i
\(201\) −2.76762 + 10.3289i −0.195213 + 0.728544i
\(202\) −2.42474 0.649707i −0.170604 0.0457132i
\(203\) 2.77506 0.268644i 0.194771 0.0188551i
\(204\) 15.9509 + 27.6277i 1.11678 + 1.93433i
\(205\) −1.85865 1.07309i −0.129814 0.0749482i
\(206\) −5.53328 20.6505i −0.385522 1.43879i
\(207\) 4.24466i 0.295025i
\(208\) −23.1721 + 34.0920i −1.60669 + 2.36385i
\(209\) 19.7022i 1.36283i
\(210\) 10.6522 + 4.84788i 0.735069 + 0.334535i
\(211\) −11.4160 + 19.7731i −0.785910 + 1.36124i 0.142544 + 0.989788i \(0.454472\pi\)
−0.928454 + 0.371448i \(0.878862\pi\)
\(212\) 1.74555 1.00779i 0.119885 0.0692154i
\(213\) −3.16070 3.16070i −0.216568 0.216568i
\(214\) −43.7368 11.7192i −2.98979 0.801111i
\(215\) 17.2390 + 4.61917i 1.17569 + 0.315025i
\(216\) −5.73490 + 5.73490i −0.390211 + 0.390211i
\(217\) −3.45898 + 20.7354i −0.234811 + 1.40761i
\(218\) 5.09973 + 2.94433i 0.345397 + 0.199415i
\(219\) 1.27779 0.342383i 0.0863450 0.0231361i
\(220\) −39.2398 −2.64555
\(221\) −9.90458 20.4919i −0.666254 1.37844i
\(222\) 1.57297i 0.105571i
\(223\) −12.2434 + 3.28062i −0.819881 + 0.219686i −0.644294 0.764778i \(-0.722849\pi\)
−0.175586 + 0.984464i \(0.556182\pi\)
\(224\) −13.1227 35.0434i −0.876797 2.34144i
\(225\) 1.92775 1.11299i 0.128517 0.0741993i
\(226\) 11.3632 11.3632i 0.755868 0.755868i
\(227\) −2.99465 + 11.1762i −0.198762 + 0.741790i 0.792499 + 0.609874i \(0.208780\pi\)
−0.991261 + 0.131917i \(0.957887\pi\)
\(228\) −5.52795 + 20.6306i −0.366098 + 1.36629i
\(229\) 9.10742 9.10742i 0.601835 0.601835i −0.338964 0.940799i \(-0.610077\pi\)
0.940799 + 0.338964i \(0.110077\pi\)
\(230\) 16.2607 9.38810i 1.07220 0.619033i
\(231\) −4.32543 11.5508i −0.284592 0.759988i
\(232\) 8.25532 2.21201i 0.541988 0.145225i
\(233\) 1.49633i 0.0980277i −0.998798 0.0490139i \(-0.984392\pi\)
0.998798 0.0490139i \(-0.0156079\pi\)
\(234\) 7.24933 6.25665i 0.473904 0.409010i
\(235\) −6.72988 −0.439009
\(236\) 41.7562 11.1885i 2.71809 0.728311i
\(237\) 0.803661 + 0.463994i 0.0522034 + 0.0301397i
\(238\) 43.7522 + 7.29855i 2.83604 + 0.473095i
\(239\) −3.19313 + 3.19313i −0.206546 + 0.206546i −0.802798 0.596252i \(-0.796656\pi\)
0.596252 + 0.802798i \(0.296656\pi\)
\(240\) 18.3929 + 4.92836i 1.18726 + 0.318124i
\(241\) 9.27435 + 2.48506i 0.597414 + 0.160076i 0.544839 0.838541i \(-0.316591\pi\)
0.0525744 + 0.998617i \(0.483257\pi\)
\(242\) 20.1564 + 20.1564i 1.29570 + 1.29570i
\(243\) 0.866025 0.500000i 0.0555556 0.0320750i
\(244\) −12.3415 + 21.3761i −0.790082 + 1.36846i
\(245\) 10.4736 5.12162i 0.669133 0.327208i
\(246\) 3.42234i 0.218200i
\(247\) 5.01218 14.3901i 0.318917 0.915618i
\(248\) 64.4412i 4.09202i
\(249\) −2.85272 10.6465i −0.180784 0.674695i
\(250\) −27.6816 15.9820i −1.75074 1.01079i
\(251\) −12.9361 22.4061i −0.816522 1.41426i −0.908230 0.418472i \(-0.862566\pi\)
0.0917077 0.995786i \(-0.470767\pi\)
\(252\) 1.28837 + 13.3087i 0.0811598 + 0.838370i
\(253\) −19.1138 5.12152i −1.20167 0.321987i
\(254\) 1.27454 4.75664i 0.0799716 0.298458i
\(255\) −7.43433 + 7.43433i −0.465556 + 0.465556i
\(256\) 0.424093 + 0.734550i 0.0265058 + 0.0459094i
\(257\) −11.4386 + 19.8122i −0.713518 + 1.23585i 0.250011 + 0.968243i \(0.419566\pi\)
−0.963528 + 0.267606i \(0.913767\pi\)
\(258\) 7.36577 + 27.4894i 0.458573 + 1.71142i
\(259\) −1.20962 0.996092i −0.0751621 0.0618941i
\(260\) −28.6599 9.98248i −1.77741 0.619087i
\(261\) −1.05378 −0.0652272
\(262\) 12.6919 3.40078i 0.784107 0.210101i
\(263\) −10.9168 + 18.9085i −0.673160 + 1.16595i 0.303844 + 0.952722i \(0.401730\pi\)
−0.977003 + 0.213225i \(0.931603\pi\)
\(264\) −18.9047 32.7439i −1.16351 2.01525i
\(265\) 0.469709 + 0.469709i 0.0288540 + 0.0288540i
\(266\) 17.2576 + 24.1680i 1.05813 + 1.48184i
\(267\) 1.28296 4.78807i 0.0785158 0.293025i
\(268\) 38.2127 + 38.2127i 2.33421 + 2.33421i
\(269\) 5.09171 2.93970i 0.310447 0.179237i −0.336679 0.941619i \(-0.609304\pi\)
0.647127 + 0.762383i \(0.275971\pi\)
\(270\) −3.83085 2.21174i −0.233138 0.134602i
\(271\) −1.80033 6.71891i −0.109362 0.408145i 0.889441 0.457049i \(-0.151094\pi\)
−0.998803 + 0.0489044i \(0.984427\pi\)
\(272\) 72.1694 4.37591
\(273\) −0.220707 9.53684i −0.0133578 0.577196i
\(274\) 18.7333 1.13172
\(275\) 2.68582 + 10.0236i 0.161961 + 0.604446i
\(276\) 18.5775 + 10.7257i 1.11823 + 0.645612i
\(277\) 10.7111 6.18406i 0.643568 0.371564i −0.142420 0.989806i \(-0.545488\pi\)
0.785988 + 0.618242i \(0.212155\pi\)
\(278\) 22.5636 + 22.5636i 1.35328 + 1.35328i
\(279\) 2.05645 7.67479i 0.123117 0.459478i
\(280\) 29.0852 20.7688i 1.73817 1.24117i
\(281\) −15.6520 15.6520i −0.933721 0.933721i 0.0642154 0.997936i \(-0.479546\pi\)
−0.997936 + 0.0642154i \(0.979546\pi\)
\(282\) −5.36577 9.29378i −0.319527 0.553436i
\(283\) 14.3579 24.8687i 0.853490 1.47829i −0.0245489 0.999699i \(-0.507815\pi\)
0.878039 0.478589i \(-0.158852\pi\)
\(284\) −21.8200 + 5.84665i −1.29478 + 0.346935i
\(285\) −7.03899 −0.416954
\(286\) 19.4269 + 40.1930i 1.14874 + 2.37666i
\(287\) −2.63179 2.16722i −0.155350 0.127927i
\(288\) 3.66058 + 13.6615i 0.215702 + 0.805009i
\(289\) −11.4238 + 19.7867i −0.671991 + 1.16392i
\(290\) 2.33069 + 4.03687i 0.136863 + 0.237053i
\(291\) 4.52524 4.52524i 0.265274 0.265274i
\(292\) 1.73031 6.45761i 0.101259 0.377903i
\(293\) −22.3231 5.98146i −1.30413 0.349441i −0.461120 0.887338i \(-0.652552\pi\)
−0.843011 + 0.537897i \(0.819219\pi\)
\(294\) 15.4235 + 10.3803i 0.899515 + 0.605389i
\(295\) 7.12343 + 12.3381i 0.414742 + 0.718355i
\(296\) −4.15989 2.40171i −0.241789 0.139597i
\(297\) 1.20658 + 4.50301i 0.0700128 + 0.261291i
\(298\) 13.1081i 0.759331i
\(299\) −12.6574 8.60313i −0.731996 0.497532i
\(300\) 11.2495i 0.649490i
\(301\) 25.8039 + 11.7436i 1.48731 + 0.676887i
\(302\) 25.8949 44.8513i 1.49009 2.58090i
\(303\) 0.818544 0.472587i 0.0470241 0.0271494i
\(304\) 34.1658 + 34.1658i 1.95954 + 1.95954i
\(305\) −7.85749 2.10541i −0.449918 0.120555i
\(306\) −16.1940 4.33918i −0.925751 0.248054i
\(307\) −5.52660 + 5.52660i −0.315419 + 0.315419i −0.847005 0.531585i \(-0.821596\pi\)
0.531585 + 0.847005i \(0.321596\pi\)
\(308\) −61.4838 10.2564i −3.50336 0.584415i
\(309\) 6.97120 + 4.02483i 0.396578 + 0.228964i
\(310\) −33.9493 + 9.09669i −1.92819 + 0.516658i
\(311\) −10.3208 −0.585239 −0.292620 0.956229i \(-0.594527\pi\)
−0.292620 + 0.956229i \(0.594527\pi\)
\(312\) −5.47764 28.7248i −0.310111 1.62622i
\(313\) 20.9365i 1.18340i −0.806157 0.591701i \(-0.798457\pi\)
0.806157 0.591701i \(-0.201543\pi\)
\(314\) −51.2618 + 13.7356i −2.89287 + 0.775142i
\(315\) −4.12675 + 1.54534i −0.232516 + 0.0870701i
\(316\) 4.06149 2.34490i 0.228477 0.131911i
\(317\) 8.45606 8.45606i 0.474940 0.474940i −0.428569 0.903509i \(-0.640982\pi\)
0.903509 + 0.428569i \(0.140982\pi\)
\(318\) −0.274154 + 1.02316i −0.0153738 + 0.0573757i
\(319\) 1.27147 4.74517i 0.0711884 0.265679i
\(320\) 17.3097 17.3097i 0.967641 0.967641i
\(321\) 14.7647 8.52440i 0.824085 0.475786i
\(322\) 27.9323 10.4598i 1.55660 0.582901i
\(323\) −25.7692 + 6.90484i −1.43384 + 0.384195i
\(324\) 5.05373i 0.280763i
\(325\) −0.588311 + 8.00429i −0.0326336 + 0.443998i
\(326\) −15.0441 −0.833213
\(327\) −2.14166 + 0.573857i −0.118434 + 0.0317343i
\(328\) −9.05075 5.22545i −0.499744 0.288527i
\(329\) −10.5449 1.75905i −0.581357 0.0969794i
\(330\) 14.5817 14.5817i 0.802697 0.802697i
\(331\) 25.0550 + 6.71347i 1.37715 + 0.369006i 0.870084 0.492903i \(-0.164064\pi\)
0.507064 + 0.861909i \(0.330731\pi\)
\(332\) −53.8046 14.4169i −2.95291 0.791230i
\(333\) 0.418789 + 0.418789i 0.0229495 + 0.0229495i
\(334\) −9.79573 + 5.65557i −0.535999 + 0.309459i
\(335\) −8.90502 + 15.4240i −0.486533 + 0.842700i
\(336\) 27.5312 + 12.5296i 1.50195 + 0.683547i
\(337\) 26.1315i 1.42348i 0.702445 + 0.711738i \(0.252092\pi\)
−0.702445 + 0.711738i \(0.747908\pi\)
\(338\) 3.96401 + 34.2982i 0.215614 + 1.86558i
\(339\) 6.05070i 0.328629i
\(340\) 13.7520 + 51.3231i 0.745806 + 2.78339i
\(341\) 32.0784 + 18.5205i 1.73714 + 1.00294i
\(342\) −5.61223 9.72066i −0.303474 0.525633i
\(343\) 17.7495 5.28735i 0.958382 0.285490i
\(344\) 83.9455 + 22.4931i 4.52604 + 1.21275i
\(345\) −1.82976 + 6.82876i −0.0985111 + 0.367648i
\(346\) −3.28247 + 3.28247i −0.176467 + 0.176467i
\(347\) 3.74039 + 6.47855i 0.200795 + 0.347787i 0.948785 0.315923i \(-0.102314\pi\)
−0.747990 + 0.663710i \(0.768981\pi\)
\(348\) −2.66276 + 4.61203i −0.142739 + 0.247231i
\(349\) 0.528661 + 1.97299i 0.0282986 + 0.105612i 0.978631 0.205626i \(-0.0659231\pi\)
−0.950332 + 0.311238i \(0.899256\pi\)
\(350\) −12.0745 9.94305i −0.645409 0.531478i
\(351\) −0.264293 + 3.59585i −0.0141069 + 0.191932i
\(352\) −65.9345 −3.51432
\(353\) −12.1175 + 3.24687i −0.644949 + 0.172813i −0.566444 0.824100i \(-0.691681\pi\)
−0.0785047 + 0.996914i \(0.525015\pi\)
\(354\) −11.3591 + 19.6745i −0.603729 + 1.04569i
\(355\) −3.72241 6.44740i −0.197565 0.342192i
\(356\) −17.7139 17.7139i −0.938835 0.938835i
\(357\) −13.5918 + 9.70547i −0.719356 + 0.513668i
\(358\) 15.6825 58.5278i 0.828844 3.09329i
\(359\) −6.92976 6.92976i −0.365739 0.365739i 0.500182 0.865920i \(-0.333267\pi\)
−0.865920 + 0.500182i \(0.833267\pi\)
\(360\) −11.6984 + 6.75407i −0.616560 + 0.355971i
\(361\) 0.986209 + 0.569388i 0.0519057 + 0.0299678i
\(362\) 9.44654 + 35.2550i 0.496499 + 1.85296i
\(363\) −10.7329 −0.563334
\(364\) −42.2972 23.1324i −2.21698 1.21247i
\(365\) 2.20328 0.115325
\(366\) −3.35730 12.5296i −0.175489 0.654934i
\(367\) 21.7912 + 12.5811i 1.13749 + 0.656730i 0.945808 0.324727i \(-0.105272\pi\)
0.191682 + 0.981457i \(0.438606\pi\)
\(368\) 42.0267 24.2641i 2.19079 1.26486i
\(369\) 0.911167 + 0.911167i 0.0474335 + 0.0474335i
\(370\) 0.678064 2.53057i 0.0352509 0.131558i
\(371\) 0.613202 + 0.858746i 0.0318359 + 0.0445839i
\(372\) −28.3936 28.3936i −1.47214 1.47214i
\(373\) 5.81848 + 10.0779i 0.301270 + 0.521814i 0.976424 0.215862i \(-0.0692562\pi\)
−0.675154 + 0.737677i \(0.735923\pi\)
\(374\) 39.0787 67.6864i 2.02071 3.49998i
\(375\) 11.6251 3.11493i 0.600316 0.160854i
\(376\) −32.7713 −1.69005
\(377\) 2.13581 3.14232i 0.110000 0.161837i
\(378\) −5.42436 4.46682i −0.278999 0.229749i
\(379\) −6.70131 25.0096i −0.344223 1.28466i −0.893517 0.449029i \(-0.851770\pi\)
0.549294 0.835629i \(-0.314897\pi\)
\(380\) −17.7866 + 30.8073i −0.912434 + 1.58038i
\(381\) 0.927079 + 1.60575i 0.0474957 + 0.0822650i
\(382\) −22.6331 + 22.6331i −1.15801 + 1.15801i
\(383\) 2.62259 9.78763i 0.134008 0.500125i −0.865992 0.500058i \(-0.833312\pi\)
1.00000 6.67944e-5i \(-2.12613e-5\pi\)
\(384\) 10.3824 + 2.78196i 0.529825 + 0.141966i
\(385\) −1.97944 20.4474i −0.100882 1.04210i
\(386\) −6.07895 10.5291i −0.309410 0.535915i
\(387\) −9.27990 5.35775i −0.471724 0.272350i
\(388\) −8.37077 31.2401i −0.424962 1.58598i
\(389\) 25.4046i 1.28806i −0.764999 0.644032i \(-0.777260\pi\)
0.764999 0.644032i \(-0.222740\pi\)
\(390\) 14.3597 6.94063i 0.727133 0.351452i
\(391\) 26.7945i 1.35505i
\(392\) 51.0013 24.9398i 2.57596 1.25965i
\(393\) −2.47368 + 4.28453i −0.124780 + 0.216126i
\(394\) −44.9463 + 25.9497i −2.26436 + 1.30733i
\(395\) 1.09291 + 1.09291i 0.0549900 + 0.0549900i
\(396\) 22.7570 + 6.09773i 1.14358 + 0.306422i
\(397\) −23.6455 6.33580i −1.18673 0.317984i −0.389140 0.921179i \(-0.627228\pi\)
−0.797594 + 0.603194i \(0.793894\pi\)
\(398\) 46.0096 46.0096i 2.30625 2.30625i
\(399\) −11.0292 1.83984i −0.552151 0.0921074i
\(400\) −22.0396 12.7245i −1.10198 0.636227i
\(401\) 19.0591 5.10686i 0.951765 0.255025i 0.250654 0.968077i \(-0.419354\pi\)
0.701111 + 0.713052i \(0.252688\pi\)
\(402\) −28.4001 −1.41647
\(403\) 18.7178 + 21.6876i 0.932401 + 1.08034i
\(404\) 4.77666i 0.237647i
\(405\) 1.60879 0.431073i 0.0799413 0.0214202i
\(406\) 2.59674 + 6.93445i 0.128874 + 0.344151i
\(407\) −2.39111 + 1.38051i −0.118523 + 0.0684293i
\(408\) −36.2016 + 36.2016i −1.79225 + 1.79225i
\(409\) 6.62979 24.7427i 0.327822 1.22345i −0.583622 0.812025i \(-0.698365\pi\)
0.911444 0.411423i \(-0.134968\pi\)
\(410\) 1.47528 5.50581i 0.0728588 0.271913i
\(411\) −4.98758 + 4.98758i −0.246019 + 0.246019i
\(412\) 35.2306 20.3404i 1.73569 1.00210i
\(413\) 7.93659 + 21.1942i 0.390534 + 1.04290i
\(414\) −10.8892 + 2.91776i −0.535176 + 0.143400i
\(415\) 18.3577i 0.901144i
\(416\) −48.1571 16.7735i −2.36110 0.822390i
\(417\) −12.0147 −0.588364
\(418\) 50.5438 13.5432i 2.47218 0.662419i
\(419\) 2.48993 + 1.43756i 0.121641 + 0.0702295i 0.559586 0.828772i \(-0.310960\pi\)
−0.437945 + 0.899002i \(0.644294\pi\)
\(420\) −3.66431 + 21.9663i −0.178800 + 1.07184i
\(421\) −13.5970 + 13.5970i −0.662676 + 0.662676i −0.956010 0.293334i \(-0.905235\pi\)
0.293334 + 0.956010i \(0.405235\pi\)
\(422\) −58.5730 15.6946i −2.85129 0.764000i
\(423\) 3.90298 + 1.04580i 0.189769 + 0.0508485i
\(424\) 2.28725 + 2.28725i 0.111079 + 0.111079i
\(425\) 12.1689 7.02575i 0.590281 0.340799i
\(426\) 5.93579 10.2811i 0.287590 0.498120i
\(427\) −11.7614 5.35269i −0.569173 0.259035i
\(428\) 86.1601i 4.16471i
\(429\) −15.8733 5.52879i −0.766369 0.266933i
\(430\) 47.3999i 2.28582i
\(431\) 9.48793 + 35.4094i 0.457017 + 1.70561i 0.682089 + 0.731269i \(0.261072\pi\)
−0.225071 + 0.974342i \(0.572262\pi\)
\(432\) −9.90107 5.71638i −0.476365 0.275030i
\(433\) −0.0741930 0.128506i −0.00356549 0.00617561i 0.864237 0.503085i \(-0.167802\pi\)
−0.867803 + 0.496909i \(0.834468\pi\)
\(434\) −55.5720 + 5.37974i −2.66754 + 0.258236i
\(435\) −1.69530 0.454256i −0.0812836 0.0217799i
\(436\) −2.90012 + 10.8234i −0.138891 + 0.518346i
\(437\) −12.6848 + 12.6848i −0.606797 + 0.606797i
\(438\) 1.75669 + 3.04268i 0.0839379 + 0.145385i
\(439\) 4.05749 7.02778i 0.193654 0.335418i −0.752805 0.658244i \(-0.771300\pi\)
0.946458 + 0.322826i \(0.104633\pi\)
\(440\) −16.2986 60.8274i −0.777007 2.89983i
\(441\) −6.87002 + 1.34271i −0.327144 + 0.0639386i
\(442\) 45.7615 39.4951i 2.17665 1.87859i
\(443\) −26.1952 −1.24457 −0.622285 0.782790i \(-0.713796\pi\)
−0.622285 + 0.782790i \(0.713796\pi\)
\(444\) 2.89112 0.774674i 0.137207 0.0367644i
\(445\) 4.12802 7.14994i 0.195687 0.338940i
\(446\) −16.8321 29.1541i −0.797024 1.38049i
\(447\) 3.48992 + 3.48992i 0.165067 + 0.165067i
\(448\) 31.6465 22.5977i 1.49516 1.06764i
\(449\) 0.953576 3.55879i 0.0450020 0.167950i −0.939768 0.341814i \(-0.888959\pi\)
0.984770 + 0.173864i \(0.0556254\pi\)
\(450\) 4.18038 + 4.18038i 0.197065 + 0.197065i
\(451\) −5.20239 + 3.00360i −0.244971 + 0.141434i
\(452\) 26.4819 + 15.2893i 1.24560 + 0.719148i
\(453\) 5.04698 + 18.8356i 0.237128 + 0.884973i
\(454\) −30.7298 −1.44222
\(455\) 3.75601 15.4379i 0.176084 0.723739i
\(456\) −34.2765 −1.60514
\(457\) 2.49719 + 9.31962i 0.116813 + 0.435954i 0.999416 0.0341660i \(-0.0108775\pi\)
−0.882603 + 0.470119i \(0.844211\pi\)
\(458\) 29.6245 + 17.1037i 1.38426 + 0.799203i
\(459\) 5.46679 3.15625i 0.255168 0.147321i
\(460\) 25.2636 + 25.2636i 1.17792 + 1.17792i
\(461\) −1.90787 + 7.12028i −0.0888585 + 0.331624i −0.996017 0.0891650i \(-0.971580\pi\)
0.907158 + 0.420789i \(0.138247\pi\)
\(462\) 26.6591 19.0364i 1.24029 0.885652i
\(463\) 10.2671 + 10.2671i 0.477153 + 0.477153i 0.904220 0.427067i \(-0.140453\pi\)
−0.427067 + 0.904220i \(0.640453\pi\)
\(464\) 6.02380 + 10.4335i 0.279648 + 0.484364i
\(465\) 6.61680 11.4606i 0.306847 0.531474i
\(466\) 3.83867 1.02857i 0.177823 0.0476475i
\(467\) 34.1823 1.58177 0.790883 0.611967i \(-0.209621\pi\)
0.790883 + 0.611967i \(0.209621\pi\)
\(468\) 15.0700 + 10.2430i 0.696611 + 0.473481i
\(469\) −17.9845 + 21.8398i −0.830449 + 1.00847i
\(470\) −4.62608 17.2648i −0.213385 0.796364i
\(471\) 9.99103 17.3050i 0.460363 0.797371i
\(472\) 34.6877 + 60.0808i 1.59663 + 2.76544i
\(473\) 35.3229 35.3229i 1.62415 1.62415i
\(474\) −0.637894 + 2.38065i −0.0292994 + 0.109347i
\(475\) 9.08699 + 2.43485i 0.416940 + 0.111719i
\(476\) 8.13285 + 84.0113i 0.372769 + 3.85065i
\(477\) −0.199415 0.345397i −0.00913060 0.0158147i
\(478\) −10.3865 5.99668i −0.475070 0.274282i
\(479\) 9.19517 + 34.3169i 0.420138 + 1.56798i 0.774316 + 0.632799i \(0.218094\pi\)
−0.354178 + 0.935178i \(0.615239\pi\)
\(480\) 23.5564i 1.07520i
\(481\) −2.09761 + 0.400003i −0.0956430 + 0.0182386i
\(482\) 25.5005i 1.16152i
\(483\) −4.65190 + 10.2215i −0.211669 + 0.465097i
\(484\) −27.1207 + 46.9745i −1.23276 + 2.13520i
\(485\) 9.23087 5.32944i 0.419152 0.241998i
\(486\) 1.87800 + 1.87800i 0.0851876 + 0.0851876i
\(487\) 22.0147 + 5.89883i 0.997583 + 0.267302i 0.720433 0.693525i \(-0.243943\pi\)
0.277150 + 0.960827i \(0.410610\pi\)
\(488\) −38.2622 10.2523i −1.73205 0.464101i
\(489\) 4.00535 4.00535i 0.181128 0.181128i
\(490\) 20.3384 + 23.3483i 0.918797 + 1.05477i
\(491\) 12.8664 + 7.42840i 0.580651 + 0.335239i 0.761392 0.648292i \(-0.224516\pi\)
−0.180741 + 0.983531i \(0.557850\pi\)
\(492\) 6.29027 1.68547i 0.283587 0.0759870i
\(493\) −6.65198 −0.299590
\(494\) 40.3615 + 2.96655i 1.81595 + 0.133471i
\(495\) 7.76451i 0.348989i
\(496\) −87.7441 + 23.5110i −3.93983 + 1.05567i
\(497\) −4.14733 11.0752i −0.186033 0.496791i
\(498\) 25.3515 14.6367i 1.13603 0.655886i
\(499\) −11.2290 + 11.2290i −0.502679 + 0.502679i −0.912270 0.409590i \(-0.865672\pi\)
0.409590 + 0.912270i \(0.365672\pi\)
\(500\) 15.7420 58.7500i 0.704004 2.62738i
\(501\) 1.10228 4.11377i 0.0492464 0.183790i
\(502\) 48.5880 48.5880i 2.16859 2.16859i
\(503\) 13.8096 7.97299i 0.615741 0.355498i −0.159468 0.987203i \(-0.550978\pi\)
0.775209 + 0.631705i \(0.217645\pi\)
\(504\) −20.0953 + 7.52507i −0.895115 + 0.335193i
\(505\) 1.52058 0.407439i 0.0676651 0.0181308i
\(506\) 52.5548i 2.33635i
\(507\) −10.1870 8.07622i −0.452420 0.358677i
\(508\) 9.37043 0.415745
\(509\) −21.2058 + 5.68207i −0.939930 + 0.251853i −0.696084 0.717961i \(-0.745076\pi\)
−0.243846 + 0.969814i \(0.578409\pi\)
\(510\) −24.1823 13.9616i −1.07081 0.618231i
\(511\) 3.45227 + 0.575892i 0.152719 + 0.0254759i
\(512\) −16.7938 + 16.7938i −0.742187 + 0.742187i
\(513\) 4.08225 + 1.09384i 0.180236 + 0.0482940i
\(514\) −58.6887 15.7256i −2.58865 0.693626i
\(515\) 9.48019 + 9.48019i 0.417747 + 0.417747i
\(516\) −46.8982 + 27.0767i −2.06458 + 1.19198i
\(517\) −9.41849 + 16.3133i −0.414225 + 0.717458i
\(518\) 1.72388 3.78785i 0.0757429 0.166429i
\(519\) 1.74786i 0.0767226i
\(520\) 3.57011 48.5733i 0.156560 2.13008i
\(521\) 27.9103i 1.22277i 0.791332 + 0.611387i \(0.209388\pi\)
−0.791332 + 0.611387i \(0.790612\pi\)
\(522\) −0.724361 2.70335i −0.0317044 0.118322i
\(523\) 14.4506 + 8.34306i 0.631881 + 0.364817i 0.781480 0.623930i \(-0.214465\pi\)
−0.149599 + 0.988747i \(0.547798\pi\)
\(524\) 12.5013 + 21.6529i 0.546122 + 0.945911i
\(525\) 5.86198 0.567479i 0.255838 0.0247668i
\(526\) −56.0118 15.0083i −2.44223 0.654393i
\(527\) 12.9814 48.4472i 0.565478 2.11039i
\(528\) 37.6874 37.6874i 1.64013 1.64013i
\(529\) −2.49141 4.31525i −0.108322 0.187620i
\(530\) −0.882111 + 1.52786i −0.0383164 + 0.0663660i
\(531\) −2.21391 8.26243i −0.0960756 0.358559i
\(532\) −35.9217 + 43.6221i −1.55740 + 1.89126i
\(533\) −4.56382 + 0.870294i −0.197681 + 0.0376966i
\(534\) 13.1652 0.569712
\(535\) 27.4279 7.34928i 1.18581 0.317737i
\(536\) −43.3632 + 75.1072i −1.87300 + 3.24414i
\(537\) 11.4072 + 19.7578i 0.492256 + 0.852613i
\(538\) 11.0415 + 11.0415i 0.476032 + 0.476032i
\(539\) 2.24297 32.5559i 0.0966117 1.40228i
\(540\) 2.17853 8.13039i 0.0937490 0.349876i
\(541\) −14.9557 14.9557i −0.642996 0.642996i 0.308295 0.951291i \(-0.400242\pi\)
−0.951291 + 0.308295i \(0.900242\pi\)
\(542\) 15.9991 9.23708i 0.687220 0.396767i
\(543\) −11.9014 6.87127i −0.510737 0.294874i
\(544\) 23.1074 + 86.2380i 0.990722 + 3.69743i
\(545\) −3.69285 −0.158184
\(546\) 24.3140 7.12177i 1.04054 0.304783i
\(547\) 39.1844 1.67540 0.837702 0.546127i \(-0.183898\pi\)
0.837702 + 0.546127i \(0.183898\pi\)
\(548\) 9.22600 + 34.4319i 0.394115 + 1.47086i
\(549\) 4.22976 + 2.44205i 0.180522 + 0.104224i
\(550\) −23.8682 + 13.7803i −1.01775 + 0.587595i
\(551\) −3.14912 3.14912i −0.134157 0.134157i
\(552\) −8.91006 + 33.2528i −0.379237 + 1.41533i
\(553\) 1.42678 + 1.99811i 0.0606729 + 0.0849681i
\(554\) 23.2273 + 23.2273i 0.986833 + 0.986833i
\(555\) 0.493214 + 0.854271i 0.0209358 + 0.0362618i
\(556\) −30.3597 + 52.5845i −1.28754 + 2.23008i
\(557\) −1.74793 + 0.468357i −0.0740623 + 0.0198449i −0.295660 0.955293i \(-0.595540\pi\)
0.221598 + 0.975138i \(0.428873\pi\)
\(558\) 21.1024 0.893337
\(559\) 34.7852 16.8131i 1.47126 0.711117i
\(560\) 38.8906 + 32.0255i 1.64343 + 1.35332i
\(561\) 7.61653 + 28.4253i 0.321570 + 1.20012i
\(562\) 29.3944 50.9126i 1.23993 2.14762i
\(563\) −3.27798 5.67763i −0.138150 0.239284i 0.788646 0.614847i \(-0.210782\pi\)
−0.926797 + 0.375564i \(0.877449\pi\)
\(564\) 14.4394 14.4394i 0.608009 0.608009i
\(565\) −2.60829 + 9.73429i −0.109732 + 0.409524i
\(566\) 73.6673 + 19.7391i 3.09647 + 0.829696i
\(567\) 2.63344 0.254935i 0.110594 0.0107062i
\(568\) −18.1263 31.3957i −0.760563 1.31733i
\(569\) −7.73692 4.46691i −0.324349 0.187263i 0.328981 0.944337i \(-0.393295\pi\)
−0.653329 + 0.757074i \(0.726628\pi\)
\(570\) −4.83856 18.0578i −0.202665 0.756356i
\(571\) 21.0842i 0.882348i −0.897422 0.441174i \(-0.854562\pi\)
0.897422 0.441174i \(-0.145438\pi\)
\(572\) −64.3073 + 55.5014i −2.68882 + 2.32063i
\(573\) 12.0517i 0.503468i
\(574\) 3.75068 8.24131i 0.156550 0.343986i
\(575\) 4.72426 8.18267i 0.197015 0.341241i
\(576\) −12.7286 + 7.34885i −0.530358 + 0.306202i
\(577\) −4.76619 4.76619i −0.198419 0.198419i 0.600903 0.799322i \(-0.294808\pi\)
−0.799322 + 0.600903i \(0.794808\pi\)
\(578\) −58.6133 15.7054i −2.43799 0.653257i
\(579\) 4.42174 + 1.18480i 0.183761 + 0.0492386i
\(580\) −6.27193 + 6.27193i −0.260428 + 0.260428i
\(581\) 4.79831 28.7642i 0.199067 1.19334i
\(582\) 14.7196 + 8.49839i 0.610149 + 0.352269i
\(583\) 1.79594 0.481220i 0.0743802 0.0199301i
\(584\) 10.7289 0.443966
\(585\) −1.97527 + 5.67103i −0.0816673 + 0.234468i
\(586\) 61.3791i 2.53555i
\(587\) 13.3468 3.57628i 0.550883 0.147609i 0.0273686 0.999625i \(-0.491287\pi\)
0.523515 + 0.852017i \(0.324621\pi\)
\(588\) −11.4830 + 33.4606i −0.473552 + 1.37989i
\(589\) 29.0810 16.7899i 1.19826 0.691816i
\(590\) −26.7555 + 26.7555i −1.10151 + 1.10151i
\(591\) 5.05766 18.8754i 0.208044 0.776432i
\(592\) 1.75250 6.54042i 0.0720273 0.268809i
\(593\) −17.2336 + 17.2336i −0.707698 + 0.707698i −0.966051 0.258353i \(-0.916820\pi\)
0.258353 + 0.966051i \(0.416820\pi\)
\(594\) −10.7226 + 6.19069i −0.439953 + 0.254007i
\(595\) −26.0501 + 9.75497i −1.06795 + 0.399915i
\(596\) 24.0927 6.45563i 0.986877 0.264433i
\(597\) 24.4993i 1.00269i
\(598\) 13.3698 38.3849i 0.546730 1.56967i
\(599\) 35.8803 1.46603 0.733015 0.680212i \(-0.238112\pi\)
0.733015 + 0.680212i \(0.238112\pi\)
\(600\) 17.4384 4.67259i 0.711918 0.190758i
\(601\) 1.74937 + 1.01000i 0.0713582 + 0.0411987i 0.535255 0.844691i \(-0.320216\pi\)
−0.463896 + 0.885889i \(0.653549\pi\)
\(602\) −12.3893 + 74.2696i −0.504951 + 3.02700i
\(603\) 7.56128 7.56128i 0.307919 0.307919i
\(604\) 95.1900 + 25.5061i 3.87323 + 1.03783i
\(605\) −17.2670 4.62669i −0.702005 0.188102i
\(606\) 1.77503 + 1.77503i 0.0721057 + 0.0721057i
\(607\) −26.9378 + 15.5526i −1.09337 + 0.631259i −0.934473 0.356035i \(-0.884128\pi\)
−0.158901 + 0.987295i \(0.550795\pi\)
\(608\) −29.8868 + 51.7654i −1.21207 + 2.09936i
\(609\) −2.53760 1.15488i −0.102829 0.0467980i
\(610\) 21.6048i 0.874751i
\(611\) −11.0291 + 9.51885i −0.446190 + 0.385092i
\(612\) 31.9017i 1.28955i
\(613\) 2.49860 + 9.32490i 0.100917 + 0.376629i 0.997850 0.0655381i \(-0.0208764\pi\)
−0.896933 + 0.442167i \(0.854210\pi\)
\(614\) −17.9768 10.3789i −0.725485 0.418859i
\(615\) 1.07309 + 1.85865i 0.0432714 + 0.0749482i
\(616\) −9.63893 99.5689i −0.388364 4.01175i
\(617\) −7.40462 1.98406i −0.298099 0.0798753i 0.106670 0.994294i \(-0.465981\pi\)
−0.404768 + 0.914419i \(0.632648\pi\)
\(618\) −5.53328 + 20.6505i −0.222581 + 0.830685i
\(619\) −23.5040 + 23.5040i −0.944707 + 0.944707i −0.998549 0.0538424i \(-0.982853\pi\)
0.0538424 + 0.998549i \(0.482853\pi\)
\(620\) −33.4395 57.9190i −1.34296 2.32608i
\(621\) 2.12233 3.67599i 0.0851663 0.147512i
\(622\) −7.09446 26.4769i −0.284462 1.06163i
\(623\) 8.33692 10.1241i 0.334012 0.405612i
\(624\) 37.1136 17.9385i 1.48573 0.718114i
\(625\) 8.91513 0.356605
\(626\) 53.7104 14.3916i 2.14670 0.575206i
\(627\) −9.85110 + 17.0626i −0.393415 + 0.681415i
\(628\) −50.4920 87.4548i −2.01485 3.48983i
\(629\) 2.64361 + 2.64361i 0.105408 + 0.105408i
\(630\) −6.80111 9.52447i −0.270963 0.379464i
\(631\) −6.11577 + 22.8244i −0.243465 + 0.908623i 0.730684 + 0.682716i \(0.239201\pi\)
−0.974149 + 0.225907i \(0.927465\pi\)
\(632\) 5.32192 + 5.32192i 0.211695 + 0.211695i
\(633\) 19.7731 11.4160i 0.785910 0.453745i
\(634\) 27.5057 + 15.8804i 1.09239 + 0.630693i
\(635\) 0.799278 + 2.98295i 0.0317184 + 0.118375i
\(636\) −2.01558 −0.0799231
\(637\) 9.92032 23.2075i 0.393058 0.919514i
\(638\) 13.0472 0.516544
\(639\) 1.15690 + 4.31760i 0.0457662 + 0.170802i
\(640\) 15.5039 + 8.95116i 0.612844 + 0.353826i
\(641\) −1.08956 + 0.629057i −0.0430350 + 0.0248463i −0.521363 0.853335i \(-0.674576\pi\)
0.478328 + 0.878181i \(0.341243\pi\)
\(642\) 32.0176 + 32.0176i 1.26363 + 1.26363i
\(643\) −8.43652 + 31.4855i −0.332704 + 1.24167i 0.573633 + 0.819113i \(0.305534\pi\)
−0.906337 + 0.422556i \(0.861133\pi\)
\(644\) 32.9815 + 46.1883i 1.29965 + 1.82007i
\(645\) −12.6198 12.6198i −0.496904 0.496904i
\(646\) −35.4272 61.3617i −1.39386 2.41424i
\(647\) −4.65030 + 8.05456i −0.182822 + 0.316657i −0.942841 0.333244i \(-0.891857\pi\)
0.760018 + 0.649902i \(0.225190\pi\)
\(648\) 7.83402 2.09912i 0.307749 0.0824612i
\(649\) 39.8771 1.56531
\(650\) −20.9385 + 3.99285i −0.821276 + 0.156613i
\(651\) 13.3632 16.2279i 0.523747 0.636020i
\(652\) −7.40908 27.6510i −0.290162 1.08290i
\(653\) −13.4181 + 23.2408i −0.525090 + 0.909482i 0.474483 + 0.880264i \(0.342635\pi\)
−0.999573 + 0.0292175i \(0.990698\pi\)
\(654\) −2.94433 5.09973i −0.115132 0.199415i
\(655\) −5.82657 + 5.82657i −0.227663 + 0.227663i
\(656\) 3.81295 14.2301i 0.148871 0.555593i
\(657\) −1.27779 0.342383i −0.0498513 0.0133576i
\(658\) −2.73584 28.2608i −0.106654 1.10172i
\(659\) −7.95731 13.7825i −0.309973 0.536889i 0.668383 0.743817i \(-0.266987\pi\)
−0.978356 + 0.206928i \(0.933653\pi\)
\(660\) 33.9827 + 19.6199i 1.32277 + 0.763703i
\(661\) 0.555848 + 2.07445i 0.0216200 + 0.0806868i 0.975893 0.218250i \(-0.0700348\pi\)
−0.954273 + 0.298937i \(0.903368\pi\)
\(662\) 68.8907i 2.67751i
\(663\) −1.66835 + 22.6988i −0.0647934 + 0.881549i
\(664\) 89.3931i 3.46913i
\(665\) −16.9506 7.71432i −0.657314 0.299148i
\(666\) −0.786484 + 1.36223i −0.0304756 + 0.0527853i
\(667\) −3.87367 + 2.23647i −0.149989 + 0.0865963i
\(668\) −15.2193 15.2193i −0.588852 0.588852i
\(669\) 12.2434 + 3.28062i 0.473358 + 0.126836i
\(670\) −45.6897 12.2425i −1.76515 0.472970i
\(671\) −16.1001 + 16.1001i −0.621538 + 0.621538i
\(672\) −6.15713 + 36.9099i −0.237517 + 1.42383i
\(673\) −33.3114 19.2323i −1.28406 0.741352i −0.306472 0.951880i \(-0.599148\pi\)
−0.977588 + 0.210528i \(0.932482\pi\)
\(674\) −67.0376 + 17.9627i −2.58219 + 0.691896i
\(675\) −2.22598 −0.0856779
\(676\) −61.0881 + 24.1775i −2.34954 + 0.929903i
\(677\) 18.0903i 0.695268i −0.937630 0.347634i \(-0.886985\pi\)
0.937630 0.347634i \(-0.113015\pi\)
\(678\) −15.5224 + 4.15921i −0.596134 + 0.159734i
\(679\) 15.8566 5.93781i 0.608521 0.227872i
\(680\) −73.8462 + 42.6351i −2.83187 + 1.63498i
\(681\) 8.18154 8.18154i 0.313517 0.313517i
\(682\) −25.4617 + 95.0245i −0.974980 + 3.63868i
\(683\) −9.14504 + 34.1297i −0.349925 + 1.30594i 0.536827 + 0.843693i \(0.319623\pi\)
−0.886752 + 0.462246i \(0.847044\pi\)
\(684\) 15.1026 15.1026i 0.577464 0.577464i
\(685\) −10.1740 + 5.87394i −0.388727 + 0.224432i
\(686\) 25.7650 + 41.8998i 0.983712 + 1.59974i
\(687\) −12.4410 + 3.33355i −0.474652 + 0.127183i
\(688\) 122.508i 4.67057i
\(689\) 1.43414 + 0.105408i 0.0546362 + 0.00401573i
\(690\) −18.7762 −0.714798
\(691\) −18.6167 + 4.98833i −0.708213 + 0.189765i −0.594906 0.803795i \(-0.702811\pi\)
−0.113306 + 0.993560i \(0.536144\pi\)
\(692\) −7.64980 4.41661i −0.290802 0.167894i
\(693\) −2.02948 + 12.1660i −0.0770935 + 0.462149i
\(694\) −14.0489 + 14.0489i −0.533289 + 0.533289i
\(695\) −19.3292 5.17924i −0.733197 0.196460i
\(696\) −8.25532 2.21201i −0.312917 0.0838459i
\(697\) 5.75175 + 5.75175i 0.217863 + 0.217863i
\(698\) −4.69809 + 2.71244i −0.177825 + 0.102668i
\(699\) −0.748164 + 1.29586i −0.0282982 + 0.0490139i
\(700\) 12.3288 27.0899i 0.465984 1.02390i
\(701\) 30.2993i 1.14439i 0.820118 + 0.572194i \(0.193908\pi\)
−0.820118 + 0.572194i \(0.806092\pi\)
\(702\) −9.40643 + 1.79375i −0.355023 + 0.0677008i
\(703\) 2.50303i 0.0944035i
\(704\) −17.7339 66.1839i −0.668373 2.49440i
\(705\) 5.82824 + 3.36494i 0.219504 + 0.126731i
\(706\) −16.6590 28.8542i −0.626969 1.08594i
\(707\) 2.48906 0.240957i 0.0936106 0.00906214i
\(708\) −41.7562 11.1885i −1.56929 0.420491i
\(709\) −4.09223 + 15.2724i −0.153687 + 0.573567i 0.845527 + 0.533932i \(0.179286\pi\)
−0.999214 + 0.0396350i \(0.987380\pi\)
\(710\) 13.9813 13.9813i 0.524710 0.524710i
\(711\) −0.463994 0.803661i −0.0174011 0.0301397i
\(712\) 20.1015 34.8167i 0.753334 1.30481i
\(713\) −8.72896 32.5769i −0.326902 1.22002i
\(714\) −34.2413 28.1968i −1.28145 1.05524i
\(715\) −23.1534 15.7372i −0.865888 0.588538i
\(716\) 115.298 4.30888
\(717\) 4.36189 1.16877i 0.162898 0.0436483i
\(718\) 13.0141 22.5410i 0.485680 0.841223i
\(719\) 4.93530 + 8.54819i 0.184056 + 0.318794i 0.943258 0.332061i \(-0.107744\pi\)
−0.759202 + 0.650855i \(0.774411\pi\)
\(720\) −13.4645 13.4645i −0.501794 0.501794i
\(721\) 12.3763 + 17.3322i 0.460919 + 0.645484i
\(722\) −0.782788 + 2.92140i −0.0291324 + 0.108723i
\(723\) −6.78930 6.78930i −0.252497 0.252497i
\(724\) −60.1465 + 34.7256i −2.23533 + 1.29057i
\(725\) 2.03142 + 1.17284i 0.0754452 + 0.0435583i
\(726\) −7.37776 27.5342i −0.273815 1.02189i
\(727\) 24.0371 0.891486 0.445743 0.895161i \(-0.352939\pi\)
0.445743 + 0.895161i \(0.352939\pi\)
\(728\) 18.2899 75.1751i 0.677870 2.78617i
\(729\) −1.00000 −0.0370370
\(730\) 1.51452 + 5.65228i 0.0560551 + 0.209200i
\(731\) −58.5794 33.8208i −2.16664 1.25091i
\(732\) 21.3761 12.3415i 0.790082 0.456154i
\(733\) −12.9796 12.9796i −0.479413 0.479413i 0.425531 0.904944i \(-0.360087\pi\)
−0.904944 + 0.425531i \(0.860087\pi\)
\(734\) −17.2964 + 64.5510i −0.638422 + 2.38262i
\(735\) −11.6312 0.801346i −0.429023 0.0295581i
\(736\) 42.4504 + 42.4504i 1.56474 + 1.56474i
\(737\) 24.9252 + 43.1718i 0.918133 + 1.59025i
\(738\) −1.71117 + 2.96383i −0.0629890 + 0.109100i
\(739\) −27.1236 + 7.26773i −0.997756 + 0.267348i −0.720505 0.693450i \(-0.756090\pi\)
−0.277251 + 0.960798i \(0.589423\pi\)
\(740\) 4.98514 0.183258
\(741\) −11.5357 + 9.95607i −0.423775 + 0.365745i
\(742\) −1.78151 + 2.16340i −0.0654011 + 0.0794209i
\(743\) −5.26385 19.6449i −0.193112 0.720703i −0.992748 0.120218i \(-0.961641\pi\)
0.799636 0.600485i \(-0.205026\pi\)
\(744\) 32.2206 55.8077i 1.18126 2.04601i
\(745\) 4.11012 + 7.11894i 0.150583 + 0.260818i
\(746\) −21.8542 + 21.8542i −0.800138 + 0.800138i
\(747\) −2.85272 + 10.6465i −0.104376 + 0.389535i
\(748\) 143.654 + 38.4919i 5.25250 + 1.40740i
\(749\) 44.8970 4.34633i 1.64050 0.158811i
\(750\) 15.9820 + 27.6816i 0.583580 + 1.01079i
\(751\) −29.4512 17.0036i −1.07469 0.620472i −0.145230 0.989398i \(-0.546392\pi\)
−0.929459 + 0.368926i \(0.879725\pi\)
\(752\) −11.9564 44.6218i −0.436004 1.62719i
\(753\) 25.8723i 0.942839i
\(754\) 9.52941 + 3.31917i 0.347040 + 0.120877i
\(755\) 32.4781i 1.18200i
\(756\) 5.53859 12.1699i 0.201437 0.442614i
\(757\) −12.1464 + 21.0382i −0.441469 + 0.764646i −0.997799 0.0663153i \(-0.978876\pi\)
0.556330 + 0.830961i \(0.312209\pi\)
\(758\) 59.5530 34.3830i 2.16306 1.24885i
\(759\) 13.9923 + 13.9923i 0.507887 + 0.507887i
\(760\) −55.1436 14.7757i −2.00027 0.535971i
\(761\) −16.6934 4.47299i −0.605136 0.162146i −0.0567745 0.998387i \(-0.518082\pi\)
−0.548362 + 0.836241i \(0.684748\pi\)
\(762\) −3.48210 + 3.48210i −0.126143 + 0.126143i
\(763\) −5.78624 0.965233i −0.209476 0.0349438i
\(764\) −52.7463 30.4531i −1.90829 1.10175i
\(765\) 10.1555 2.72115i 0.367172 0.0983835i
\(766\) 26.9118 0.972364
\(767\) 29.1254 + 10.1446i 1.05166 + 0.366301i
\(768\) 0.848186i 0.0306063i
\(769\) 10.4169 2.79121i 0.375644 0.100654i −0.0660568 0.997816i \(-0.521042\pi\)
0.441701 + 0.897162i \(0.354375\pi\)
\(770\) 51.0949 19.1335i 1.84133 0.689522i
\(771\) 19.8122 11.4386i 0.713518 0.411950i
\(772\) 16.3586 16.3586i 0.588759 0.588759i
\(773\) 10.6384 39.7032i 0.382638 1.42802i −0.459219 0.888323i \(-0.651871\pi\)
0.841857 0.539701i \(-0.181463\pi\)