Properties

Label 273.2.by.c.76.8
Level $273$
Weight $2$
Character 273.76
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 76.8
Character \(\chi\) \(=\) 273.76
Dual form 273.2.by.c.97.8

$q$-expansion

\(f(q)\) \(=\) \(q+(0.687394 - 2.56539i) q^{2} +(0.866025 - 0.500000i) q^{3} +(-4.37666 - 2.52687i) q^{4} +(1.17771 - 1.17771i) q^{5} +(-0.687394 - 2.56539i) q^{6} +(2.40809 + 1.09594i) q^{7} +(-5.73490 + 5.73490i) q^{8} +(0.500000 - 0.866025i) q^{9} +O(q^{10})\) \(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} +(2.40809 + 1.09594i) 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} +(2.63344 - 0.254935i) 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} +(-7.77012 - 10.8815i) 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} +(4.12675 - 1.54534i) 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} +(1.15620 - 6.93104i) 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} +(4.59783 + 5.27825i) 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} +(-20.0953 + 7.52507i) 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} +(2.15316 - 1.53750i) 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} +(-1.12770 - 11.6490i) 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} +(-12.1699 - 5.53859i) 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} +(8.94880 + 3.30440i) 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} +(16.7013 - 8.16698i) q^{98} +(-3.29643 + 3.29643i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32q - 2q^{2} + 6q^{4} - 2q^{5} + 2q^{6} - 2q^{7} + 2q^{8} + 16q^{9} + O(q^{10}) \) \( 32q - 2q^{2} + 6q^{4} - 2q^{5} + 2q^{6} - 2q^{7} + 2q^{8} + 16q^{9} - 2q^{10} - 4q^{11} - 32q^{12} - 6q^{13} + 34q^{14} + 4q^{15} + 14q^{16} + 8q^{17} + 2q^{18} - 2q^{19} - 44q^{20} + 2q^{21} - 4q^{22} - 18q^{23} - 4q^{24} + 28q^{26} - 18q^{28} - 18q^{29} + 14q^{31} - 8q^{32} - 4q^{33} + 66q^{34} - 20q^{35} + 6q^{36} - 24q^{37} - 24q^{38} + 8q^{39} + 16q^{42} - 6q^{43} - 20q^{44} - 4q^{45} - 58q^{46} + 28q^{47} + 60q^{48} + 10q^{49} + 70q^{50} - 28q^{52} - 80q^{53} + 4q^{54} - 60q^{55} - 120q^{56} + 16q^{57} - 4q^{58} + 42q^{59} - 58q^{60} - 36q^{61} - 52q^{62} + 2q^{63} + 14q^{65} + 26q^{67} + 72q^{68} - 2q^{69} + 68q^{70} - 4q^{71} + 4q^{72} - 12q^{73} - 18q^{74} - 16q^{75} + 48q^{76} - 28q^{77} - 14q^{78} - 4q^{79} + 98q^{80} - 16q^{81} - 20q^{82} + 36q^{83} + 32q^{84} - 10q^{85} - 40q^{86} + 96q^{88} + 54q^{89} - 4q^{90} - 54q^{91} - 4q^{92} + 2q^{93} + 60q^{95} - 22q^{96} + 40q^{97} + 4q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(1\) \(e\left(\frac{7}{12}\right)\) \(-1\)

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 −0.0891737 0.996016i \(-0.528423\pi\)
0.575235 0.817988i \(-0.304911\pi\)
\(3\) 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 \(-0.628526\pi\)
0.919584 + 0.392894i \(0.128526\pi\)
\(6\) −0.687394 2.56539i −0.280627 1.04732i
\(7\) 2.40809 + 1.09594i 0.910174 + 0.414227i
\(8\) −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 −0.494734 0.869044i \(-0.664735\pi\)
−0.862975 + 0.505247i \(0.831401\pi\)
\(12\) −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 0.174476 + 0.984661i \(0.444177\pi\)
−0.939980 + 0.341230i \(0.889157\pi\)
\(18\) −1.87800 1.87800i −0.442648 0.442648i
\(19\) 1.09384 + 4.08225i 0.250943 + 0.936532i 0.970303 + 0.241894i \(0.0777687\pi\)
−0.719360 + 0.694638i \(0.755565\pi\)
\(20\) −8.13039 + 2.17853i −1.81801 + 0.487134i
\(21\) 2.63344 0.254935i 0.574664 0.0556313i
\(22\) −6.19069 + 10.7226i −1.31986 + 2.28606i
\(23\) 3.67599 2.12233i 0.766496 0.442537i −0.0651270 0.997877i \(-0.520745\pi\)
0.831623 + 0.555340i \(0.187412\pi\)
\(24\) −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
\(28\) −7.77012 10.8815i −1.46841 2.05641i
\(29\) −0.526889 0.912598i −0.0978408 0.169465i 0.812950 0.582334i \(-0.197860\pi\)
−0.910791 + 0.412868i \(0.864527\pi\)
\(30\) −3.83085 2.21174i −0.699414 0.403807i
\(31\) 5.61834 5.61834i 1.00908 1.00908i 0.00912491 0.999958i \(-0.497095\pi\)
0.999958 0.00912491i \(-0.00290459\pi\)
\(32\) 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
\(35\) 4.12675 1.54534i 0.697548 0.261210i
\(36\) −4.37666 + 2.52687i −0.729444 + 0.421145i
\(37\) 0.572076 + 0.153287i 0.0940488 + 0.0252003i 0.305537 0.952180i \(-0.401164\pi\)
−0.211488 + 0.977381i \(0.567831\pi\)
\(38\) 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 \(-0.448750\pi\)
−0.354698 + 0.934981i \(0.615416\pi\)
\(42\) 1.15620 6.93104i 0.178406 1.06948i
\(43\) −9.27990 5.35775i −1.41517 0.817050i −0.419302 0.907847i \(-0.637725\pi\)
−0.995869 + 0.0907973i \(0.971058\pi\)
\(44\) 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 \(-0.345218\pi\)
−0.884086 + 0.467324i \(0.845218\pi\)
\(48\) 9.90107 + 5.71638i 1.42910 + 0.825089i
\(49\) 4.59783 + 5.27825i 0.656833 + 0.754036i
\(50\) 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
\(56\) −20.0953 + 7.52507i −2.68535 + 1.00558i
\(57\) 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 \(-0.395358\pi\)
0.752824 + 0.658222i \(0.228691\pi\)
\(60\) −5.95186 + 5.95186i −0.768381 + 0.768381i
\(61\) −4.22976 2.44205i −0.541565 0.312673i 0.204148 0.978940i \(-0.434558\pi\)
−0.745713 + 0.666267i \(0.767891\pi\)
\(62\) −10.5512 18.2752i −1.34001 2.32096i
\(63\) 2.15316 1.53750i 0.271273 0.193707i
\(64\) 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 0.562330 + 0.826913i \(0.309905\pi\)
−0.900449 + 0.434962i \(0.856762\pi\)
\(68\) 27.6277 15.9509i 3.35035 1.93433i
\(69\) 2.12233 3.67599i 0.255499 0.442537i
\(70\) −1.12770 11.6490i −0.134786 1.39232i
\(71\) 4.31760 1.15690i 0.512405 0.137298i 0.00665372 0.999978i \(-0.497882\pi\)
0.505751 + 0.862679i \(0.331215\pi\)
\(72\) 2.09912 + 7.83402i 0.247384 + 0.923248i
\(73\) 0.935407 + 0.935407i 0.109481 + 0.109481i 0.759725 0.650244i \(-0.225333\pi\)
−0.650244 + 0.759725i \(0.725333\pi\)
\(74\) 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 \(-0.956793\pi\)
0.135323 + 0.990802i \(0.456793\pi\)
\(84\) −12.1699 5.53859i −1.32784 0.604310i
\(85\) 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 0.863998 + 0.503495i \(0.167953\pi\)
−0.999992 + 0.00403982i \(0.998714\pi\)
\(90\) −4.42348 −0.466276
\(91\) 8.94880 + 3.30440i 0.938089 + 0.346395i
\(92\) −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 0.997614 + 0.0690447i \(0.0219951\pi\)
−0.829436 + 0.558601i \(0.811338\pi\)
\(98\) 16.7013 8.16698i 1.68709 0.824990i
\(99\) −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 \(-0.151693\pi\)
−0.841555 + 0.540171i \(0.818360\pi\)
\(102\) 16.1940 + 4.33918i 1.60345 + 0.429643i
\(103\) 8.04965 0.793156 0.396578 0.918001i \(-0.370198\pi\)
0.396578 + 0.918001i \(0.370198\pi\)
\(104\) −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 −0.902617 0.430445i \(-0.858357\pi\)
0.0785320 0.996912i \(-0.474977\pi\)
\(108\) −2.52687 + 4.37666i −0.243148 + 0.421145i
\(109\) 1.56781 + 1.56781i 0.150169 + 0.150169i 0.778193 0.628025i \(-0.216136\pi\)
−0.628025 + 0.778193i \(0.716136\pi\)
\(110\) 5.33728 + 19.9190i 0.508890 + 1.89920i
\(111\) 0.572076 0.153287i 0.0542991 0.0145494i
\(112\) 2.91461 + 30.1075i 0.275405 + 2.84489i
\(113\) −3.02535 + 5.24006i −0.284601 + 0.492943i −0.972512 0.232852i \(-0.925194\pi\)
0.687911 + 0.725795i \(0.258528\pi\)
\(114\) 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
\(119\) −13.5918 + 9.70547i −1.24596 + 0.889699i
\(120\) 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
\(126\) −2.46422 6.58056i −0.219530 0.586243i
\(127\) −1.60575 + 0.927079i −0.142487 + 0.0822650i −0.569549 0.821958i \(-0.692882\pi\)
0.427062 + 0.904222i \(0.359549\pi\)
\(128\) −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
\(133\) −1.83984 + 11.0292i −0.159535 + 0.956354i
\(134\) 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 0.999020 + 0.0442531i \(0.0140908\pi\)
−0.843050 + 0.537834i \(0.819243\pi\)
\(138\) −7.97146 7.97146i −0.678576 0.678576i
\(139\) −10.4051 6.00737i −0.882547 0.509539i −0.0110494 0.999939i \(-0.503517\pi\)
−0.871497 + 0.490400i \(0.836851\pi\)
\(140\) −21.9663 3.66431i −1.85649 0.309691i
\(141\) −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
\(147\) 6.62096 + 2.27219i 0.546088 + 0.187407i
\(148\) −2.11645 2.11645i −0.173971 0.173971i
\(149\) −4.76731 + 1.27740i −0.390553 + 0.104648i −0.448752 0.893657i \(-0.648131\pi\)
0.0581981 + 0.998305i \(0.481465\pi\)
\(150\) 5.71050 1.53012i 0.466260 0.124934i
\(151\) −13.7886 + 13.7886i −1.12210 + 1.12210i −0.130675 + 0.991425i \(0.541714\pi\)
−0.991425 + 0.130675i \(0.958286\pi\)
\(152\) −29.6843 17.1383i −2.40772 1.39010i
\(153\) 3.15625 + 5.46679i 0.255168 + 0.441964i
\(154\) −26.6591 + 19.0364i −2.14825 + 1.53399i
\(155\) 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
\(161\) 11.1781 1.08211i 0.880955 0.0852824i
\(162\) −2.56539 + 0.687394i −0.201556 + 0.0540068i
\(163\) −1.46606 5.47141i −0.114831 0.428554i 0.884444 0.466647i \(-0.154538\pi\)
−0.999274 + 0.0380934i \(0.987872\pi\)
\(164\) 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 \(-0.969359\pi\)
0.910073 + 0.414448i \(0.136025\pi\)
\(168\) −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 \(-0.854499\pi\)
0.830890 + 0.556437i \(0.187832\pi\)
\(174\) −1.97899 + 1.97899i −0.150027 + 0.150027i
\(175\) −2.43954 + 5.36036i −0.184412 + 0.405205i
\(176\) −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 −0.999656 0.0262285i \(-0.991650\pi\)
−0.477113 + 0.878842i \(0.658317\pi\)
\(180\) −2.17853 + 8.13039i −0.162378 + 0.606003i
\(181\) −13.7425 −1.02147 −0.510737 0.859737i \(-0.670628\pi\)
−0.510737 + 0.859737i \(0.670628\pi\)
\(182\) 14.6284 20.6857i 1.08433 1.53333i
\(183\) −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
\(189\) 1.09594 2.40809i 0.0797179 0.175163i
\(190\) 13.2192 13.2192i 0.959021 0.959021i
\(191\) 6.02586 10.4371i 0.436016 0.755201i −0.561362 0.827570i \(-0.689723\pi\)
0.997378 + 0.0723688i \(0.0230559\pi\)
\(192\) −7.34885 12.7286i −0.530358 0.918606i
\(193\) −4.42174 1.18480i −0.318284 0.0852838i 0.0961404 0.995368i \(-0.469350\pi\)
−0.414424 + 0.910084i \(0.636017\pi\)
\(194\) 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 −0.513282 0.858220i \(-0.671570\pi\)
0.873625 0.486599i \(-0.161763\pi\)
\(198\) 6.19069 + 10.7226i 0.439953 + 0.762021i
\(199\) 12.2497 21.2170i 0.868355 1.50403i 0.00467796 0.999989i \(-0.498511\pi\)
0.863677 0.504046i \(-0.168156\pi\)
\(200\) −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
\(203\) −0.268644 2.77506i −0.0188551 0.194771i
\(204\) 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
\(210\) −6.80111 9.52447i −0.469321 0.657251i
\(211\) −11.4160 19.7731i −0.785910 1.36124i −0.928454 0.371448i \(-0.878862\pi\)
0.142544 0.989788i \(-0.454472\pi\)
\(212\) 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
\(217\) 19.6868 7.37212i 1.33643 0.500452i
\(218\) 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 \(-0.277151\pi\)
0.175586 + 0.984464i \(0.443818\pi\)
\(224\) 36.9099 + 6.15713i 2.46614 + 0.411391i
\(225\) 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 0.991261 + 0.131917i \(0.0421131\pi\)
−0.792499 + 0.609874i \(0.791220\pi\)
\(228\) −5.52795 20.6306i −0.366098 1.36629i
\(229\) −9.10742 9.10742i −0.601835 0.601835i 0.338964 0.940799i \(-0.389923\pi\)
−0.940799 + 0.338964i \(0.889923\pi\)
\(230\) −16.2607 9.38810i −1.07220 0.619033i
\(231\) −12.1660 2.02948i −0.800465 0.133530i
\(232\) 8.25532 + 2.21201i 0.541988 + 0.145225i
\(233\) 1.49633i 0.0980277i 0.998798 + 0.0490139i \(0.0156079\pi\)
−0.998798 + 0.0490139i \(0.984392\pi\)
\(234\) −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
\(238\) 15.5554 + 41.5398i 1.00831 + 2.69263i
\(239\) −3.19313 3.19313i −0.206546 0.206546i 0.596252 0.802798i \(-0.296656\pi\)
−0.802798 + 0.596252i \(0.796656\pi\)
\(240\) 18.3929 4.92836i 1.18726 0.318124i
\(241\) −9.27435 + 2.48506i −0.597414 + 0.160076i −0.544839 0.838541i \(-0.683409\pi\)
−0.0525744 + 0.998617i \(0.516743\pi\)
\(242\) 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
\(245\) 11.6312 + 0.801346i 0.743090 + 0.0511961i
\(246\) 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 −0.0917077 0.995786i \(-0.529233\pi\)
0.908230 0.418472i \(-0.137434\pi\)
\(252\) −13.3087 + 1.28837i −0.838370 + 0.0811598i
\(253\) −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 0.963528 + 0.267606i \(0.0862326\pi\)
−0.250011 + 0.968243i \(0.580434\pi\)
\(258\) −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 −0.977003 0.213225i \(-0.931603\pi\)
0.303844 0.952722i \(-0.401730\pi\)
\(264\) 18.9047 32.7439i 1.16351 2.01525i
\(265\) −0.469709 + 0.469709i −0.0288540 + 0.0288540i
\(266\) 27.0295 + 12.3013i 1.65729 + 0.754243i
\(267\) 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 \(-0.390696\pi\)
−0.647127 + 0.762383i \(0.724029\pi\)
\(270\) −3.83085 + 2.21174i −0.233138 + 0.134602i
\(271\) 1.80033 6.71891i 0.109362 0.408145i −0.889441 0.457049i \(-0.848906\pi\)
0.998803 + 0.0489044i \(0.0155730\pi\)
\(272\) −72.1694 −4.37591
\(273\) 9.40208 1.61271i 0.569040 0.0976055i
\(274\) 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 0.785988 0.618242i \(-0.212155\pi\)
−0.142420 + 0.989806i \(0.545488\pi\)
\(278\) −22.5636 + 22.5636i −1.35328 + 1.35328i
\(279\) −2.05645 7.67479i −0.123117 0.459478i
\(280\) −14.8041 + 32.5289i −0.884716 + 1.94397i
\(281\) −15.6520 + 15.6520i −0.933721 + 0.933721i −0.997936 0.0642154i \(-0.979546\pi\)
0.0642154 + 0.997936i \(0.479546\pi\)
\(282\) −5.36577 + 9.29378i −0.319527 + 0.553436i
\(283\) −14.3579 24.8687i −0.853490 1.47829i −0.878039 0.478589i \(-0.841148\pi\)
0.0245489 0.999699i \(-0.492185\pi\)
\(284\) −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 \(-0.347448\pi\)
0.843011 + 0.537897i \(0.180781\pi\)
\(294\) 10.3803 15.4235i 0.605389 0.899515i
\(295\) 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
\(301\) −16.4751 23.0722i −0.949608 1.32986i
\(302\) 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 \(-0.178404\pi\)
−0.531585 + 0.847005i \(0.678404\pi\)
\(308\) 21.8596 + 58.3748i 1.24556 + 3.32621i
\(309\) 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 \(-0.405473\pi\)
0.292620 + 0.956229i \(0.405473\pi\)
\(312\) −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
\(315\) 0.725070 4.34654i 0.0408531 0.244900i
\(316\) 4.06149 + 2.34490i 0.228477 + 0.131911i
\(317\) 8.45606 + 8.45606i 0.474940 + 0.474940i 0.903509 0.428569i \(-0.140982\pi\)
−0.428569 + 0.903509i \(0.640982\pi\)
\(318\) 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
\(322\) 4.90770 29.4199i 0.273496 1.63951i
\(323\) −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
\(329\) −3.74905 10.0116i −0.206692 0.551960i
\(330\) 14.5817 + 14.5817i 0.802697 + 0.802697i
\(331\) 25.0550 6.71347i 1.37715 0.369006i 0.507064 0.861909i \(-0.330731\pi\)
0.870084 + 0.492903i \(0.164064\pi\)
\(332\) 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
\(336\) 17.5779 + 24.6166i 0.958952 + 1.34294i
\(337\) 26.1315i 1.42348i −0.702445 0.711738i \(-0.747908\pi\)
0.702445 0.711738i \(-0.252092\pi\)
\(338\) 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
\(343\) 5.28735 + 17.7495i 0.285490 + 0.958382i
\(344\) 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 −0.747990 0.663710i \(-0.768981\pi\)
0.948785 + 0.315923i \(0.102314\pi\)
\(348\) 2.66276 + 4.61203i 0.142739 + 0.247231i
\(349\) −0.528661 + 1.97299i −0.0282986 + 0.105612i −0.978631 0.205626i \(-0.934077\pi\)
0.950332 + 0.311238i \(0.100744\pi\)
\(350\) 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 \(-0.308319\pi\)
0.0785047 + 0.996914i \(0.474985\pi\)
\(354\) −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
\(357\) −6.91813 + 15.2011i −0.366146 + 0.804527i
\(358\) 15.6825 + 58.5278i 0.828844 + 3.09329i
\(359\) −6.92976 + 6.92976i −0.365739 + 0.365739i −0.865920 0.500182i \(-0.833267\pi\)
0.500182 + 0.865920i \(0.333267\pi\)
\(360\) 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
\(364\) −30.8161 37.0747i −1.61520 1.94324i
\(365\) 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 \(-0.894728\pi\)
−0.191682 + 0.981457i \(0.561394\pi\)
\(368\) 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
\(371\) −0.960421 0.437095i −0.0498626 0.0226928i
\(372\) −28.3936 + 28.3936i −1.47214 + 1.47214i
\(373\) 5.81848 10.0779i 0.301270 0.521814i −0.675154 0.737677i \(-0.735923\pi\)
0.976424 + 0.215862i \(0.0692562\pi\)
\(374\) −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 0.549294 + 0.835629i \(0.314897\pi\)
−0.893517 + 0.449029i \(0.851770\pi\)
\(380\) −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 −1.00000 6.67944e-5i \(-0.999979\pi\)
0.865992 0.500058i \(-0.166688\pi\)
\(384\) −10.3824 + 2.78196i −0.529825 + 0.141966i
\(385\) −20.4474 + 1.97944i −1.04210 + 0.100882i
\(386\) −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 \(0.222740\pi\)
−0.764999 + 0.644032i \(0.777260\pi\)
\(390\) −14.3597 6.94063i −0.727133 0.351452i
\(391\) 26.7945i 1.35505i
\(392\) −56.6384 3.90217i −2.86067 0.197089i
\(393\) −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 \(-0.372772\pi\)
0.797594 + 0.603194i \(0.206106\pi\)
\(398\) −46.0096 46.0096i −2.30625 2.30625i
\(399\) 3.92126 + 10.4715i 0.196308 + 0.524231i
\(400\) −22.0396 + 12.7245i −1.10198 + 0.636227i
\(401\) 19.0591 + 5.10686i 0.951765 + 0.255025i 0.701111 0.713052i \(-0.252688\pi\)
0.250654 + 0.968077i \(0.419354\pi\)
\(402\) 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
\(406\) −7.30378 1.21838i −0.362480 0.0604673i
\(407\) −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 −0.911444 0.411423i \(-0.865032\pi\)
0.583622 0.812025i \(-0.301635\pi\)
\(410\) 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
\(413\) 22.3230 + 3.72383i 1.09844 + 0.183238i
\(414\) −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 \(-0.689040\pi\)
0.437945 + 0.899002i \(0.355706\pi\)
\(420\) −20.8555 + 7.80975i −1.01764 + 0.381077i
\(421\) −13.5970 13.5970i −0.662676 0.662676i 0.293334 0.956010i \(-0.405235\pi\)
−0.956010 + 0.293334i \(0.905235\pi\)
\(422\) −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
\(427\) −7.50931 10.5163i −0.363401 0.508917i
\(428\) 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 −0.225071 0.974342i \(-0.572262\pi\)
0.682089 0.731269i \(-0.261072\pi\)
\(432\) 9.90107 5.71638i 0.476365 0.275030i
\(433\) 0.0741930 0.128506i 0.00356549 0.00617561i −0.864237 0.503085i \(-0.832198\pi\)
0.867803 + 0.496909i \(0.165532\pi\)
\(434\) −5.37974 55.5720i −0.258236 2.66754i
\(435\) −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 \(-0.228700\pi\)
−0.946458 + 0.322826i \(0.895367\pi\)
\(440\) 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
\(448\) 16.1078 35.3934i 0.761022 1.67218i
\(449\) 0.953576 + 3.55879i 0.0450020 + 0.167950i 0.984770 0.173864i \(-0.0556254\pi\)
−0.939768 + 0.341814i \(0.888959\pi\)
\(450\) 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
\(455\) 14.4308 6.64749i 0.676525 0.311639i
\(456\) −34.2765 −1.60514
\(457\) 2.49719 9.31962i 0.116813 0.435954i −0.882603 0.470119i \(-0.844211\pi\)
0.999416 + 0.0341660i \(0.0108775\pi\)
\(458\) −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 \(-0.0284198\pi\)
−0.907158 + 0.420789i \(0.861753\pi\)
\(462\) −13.5692 + 29.8155i −0.631299 + 1.38714i
\(463\) 10.2671 10.2671i 0.477153 0.477153i −0.427067 0.904220i \(-0.640453\pi\)
0.904220 + 0.427067i \(0.140453\pi\)
\(464\) 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 \(-0.790379\pi\)
−0.790883 + 0.611967i \(0.790379\pi\)
\(468\) −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
\(476\) 84.0113 8.13285i 3.85065 0.372769i
\(477\) −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 0.354178 + 0.935178i \(0.384761\pi\)
−0.774316 + 0.632799i \(0.781906\pi\)
\(480\) 23.5564i 1.07520i
\(481\) 2.09761 + 0.400003i 0.0956430 + 0.0182386i
\(482\) 25.5005i 1.16152i
\(483\) 9.13944 6.52617i 0.415859 0.296951i
\(484\) −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 0.277150 0.960827i \(-0.410610\pi\)
0.720433 + 0.693525i \(0.243943\pi\)
\(488\) 38.2622 10.2523i 1.73205 0.464101i
\(489\) −4.00535 4.00535i −0.181128 0.181128i
\(490\) 10.0510 29.2877i 0.454057 1.32308i
\(491\) 12.8664 7.42840i 0.580651 0.335239i −0.180741 0.983531i \(-0.557850\pi\)
0.761392 + 0.648292i \(0.224516\pi\)
\(492\) 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
\(497\) 11.6651 + 1.94592i 0.523250 + 0.0872862i
\(498\) 25.3515 + 14.6367i 1.13603 + 0.655886i
\(499\) −11.2290 11.2290i −0.502679 0.502679i 0.409590 0.912270i \(-0.365672\pi\)
−0.912270 + 0.409590i \(0.865672\pi\)
\(500\) −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 \(-0.449022\pi\)
−0.775209 + 0.631705i \(0.782355\pi\)
\(504\) −3.53074 + 21.1656i −0.157272 + 0.942789i
\(505\) 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 \(-0.254924\pi\)
0.243846 + 0.969814i \(0.421591\pi\)
\(510\) 24.1823 13.9616i 1.07081 0.618231i
\(511\) 1.22740 + 3.27770i 0.0542968 + 0.144997i
\(512\) −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
\(518\) 3.38685 2.41844i 0.148810 0.106260i
\(519\) 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 \(-0.785535\pi\)
0.149599 + 0.988747i \(0.452202\pi\)
\(524\) −12.5013 + 21.6529i −0.546122 + 0.945911i
\(525\) 0.567479 + 5.86198i 0.0247668 + 0.255838i
\(526\) −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
\(539\) −14.3355 29.3157i −0.617472 1.26272i
\(540\) 2.17853 + 8.13039i 0.0937490 + 0.349876i
\(541\) −14.9557 + 14.9557i −0.642996 + 0.642996i −0.951291 0.308295i \(-0.900242\pi\)
0.308295 + 0.951291i \(0.400242\pi\)
\(542\) −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
\(546\) 2.32571 25.2286i 0.0995314 1.07968i
\(547\) 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
\(553\) −2.23468 1.01702i −0.0950284 0.0432481i
\(554\) 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 0.221598 0.975138i \(-0.428873\pi\)
−0.295660 + 0.955293i \(0.595540\pi\)
\(558\) −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 \(-0.789218\pi\)
0.926797 + 0.375564i \(0.122551\pi\)
\(564\) 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
\(567\) −0.254935 2.63344i −0.0107062 0.110594i
\(568\) −18.1263 + 31.3957i −0.760563 + 1.31733i
\(569\) −7.73692 + 4.46691i −0.324349 + 0.187263i −0.653329 0.757074i \(-0.726628\pi\)
0.328981 + 0.944337i \(0.393295\pi\)
\(570\) 4.83856 18.0578i 0.202665 0.756356i
\(571\) 21.0842i 0.882348i 0.897422 + 0.441174i \(0.145438\pi\)
−0.897422 + 0.441174i \(0.854562\pi\)
\(572\) 64.3073 + 55.5014i 2.68882 + 2.32063i
\(573\) 12.0517i 0.503468i
\(574\) −7.36884 + 5.26184i −0.307569 + 0.219625i
\(575\) 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 \(-0.705192\pi\)
0.799322 + 0.600903i \(0.205192\pi\)
\(578\) −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
\(581\) −27.3097 + 10.2266i −1.13300 + 0.424272i
\(582\) 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 \(-0.508713\pi\)
−0.523515 + 0.852017i \(0.675379\pi\)
\(588\) −23.2362 26.6749i −0.958245 1.10005i
\(589\) 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 \(-0.0831796\pi\)
−0.258353 + 0.966051i \(0.583180\pi\)
\(594\) 10.7226 + 6.19069i 0.439953 + 0.254007i
\(595\) −4.57701 + 27.4376i −0.187639 + 1.12483i
\(596\) 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 \(-0.679784\pi\)
0.463896 + 0.885889i \(0.346451\pi\)
\(602\) −70.5140 + 26.4053i −2.87394 + 1.07620i
\(603\) 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 \(-0.115872\pi\)
0.158901 + 0.987295i \(0.449205\pi\)
\(608\) 29.8868 + 51.7654i 1.21207 + 2.09936i
\(609\) −1.62018 2.26895i −0.0656531 0.0919425i
\(610\) 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 −0.896933 0.442167i \(-0.854210\pi\)
0.997850 + 0.0655381i \(0.0208764\pi\)
\(614\) 17.9768 10.3789i 0.725485 0.418859i
\(615\) −1.07309 + 1.85865i −0.0432714 + 0.0749482i
\(616\) 99.5689 9.63893i 4.01175 0.388364i
\(617\) −7.40462 + 1.98406i −0.298099 + 0.0798753i −0.404768 0.914419i \(-0.632648\pi\)
0.106670 + 0.994294i \(0.465981\pi\)
\(618\) −5.53328 20.6505i −0.222581 0.830685i
\(619\) 23.5040 + 23.5040i 0.944707 + 0.944707i 0.998549 0.0538424i \(-0.0171469\pi\)
−0.0538424 + 0.998549i \(0.517147\pi\)
\(620\) −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
\(630\) −10.6522 4.84788i −0.424392 0.193144i
\(631\) −6.11577 22.8244i −0.243465 0.908623i −0.974149 0.225907i \(-0.927465\pi\)
0.730684 0.682716i \(-0.239201\pi\)
\(632\) 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
\(637\) 17.9281 + 17.7646i 0.710338 + 0.703861i
\(638\) 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 0.478328 0.878181i \(-0.341243\pi\)
−0.521363 + 0.853335i \(0.674576\pi\)
\(642\) −32.0176 + 32.0176i −1.26363 + 1.26363i
\(643\) 8.43652 + 31.4855i 0.332704 + 1.24167i 0.906337 + 0.422556i \(0.138867\pi\)
−0.573633 + 0.819113i \(0.694466\pi\)
\(644\) −51.6570 23.5095i −2.03557 0.926403i
\(645\) −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 \(-0.108143\pi\)
−0.760018 + 0.649902i \(0.774810\pi\)
\(648\) 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 −0.999573 0.0292175i \(-0.990698\pi\)
0.474483 0.880264i \(-0.342635\pi\)
\(654\) 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
\(658\) −28.2608 + 2.73584i −1.10172 + 0.106654i
\(659\) −7.95731 + 13.7825i −0.309973 + 0.536889i −0.978356 0.206928i \(-0.933653\pi\)
0.668383 + 0.743817i \(0.266987\pi\)
\(660\) 33.9827 19.6199i 1.32277 0.763703i
\(661\) −0.555848 + 2.07445i −0.0216200 + 0.0806868i −0.975893 0.218250i \(-0.929965\pi\)
0.954273 + 0.298937i \(0.0966319\pi\)
\(662\) 68.8907i 2.67751i
\(663\) 1.66835 + 22.6988i 0.0647934 + 0.881549i
\(664\) 89.3931i 3.46913i
\(665\) 10.8225 + 15.1561i 0.419677 + 0.587727i
\(666\) −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
\(672\) 35.0434 13.1227i 1.35183 0.506219i
\(673\) −33.3114 + 19.2323i −1.28406 + 0.741352i −0.977588 0.210528i \(-0.932482\pi\)
−0.306472 + 0.951880i \(0.599148\pi\)
\(674\) −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
\(679\) −2.78601 + 16.7011i −0.106917 + 0.640930i
\(680\) −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 −0.886752 0.462246i \(-0.847044\pi\)
0.536827 0.843693i \(-0.319623\pi\)
\(684\) −15.1026 15.1026i −0.577464 0.577464i
\(685\) 10.1740 + 5.87394i 0.388727 + 0.224432i
\(686\) 49.1688 1.36323i 1.87727 0.0520485i
\(687\) −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 \(-0.297189\pi\)
0.113306 + 0.993560i \(0.463856\pi\)
\(692\) 7.64980 4.41661i 0.290802 0.167894i
\(693\) −11.5508 + 4.32543i −0.438779 + 0.164309i
\(694\) −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
\(700\) 24.2220 17.2961i 0.915504 0.653732i
\(701\) 30.2993i 1.14439i −0.820118 0.572194i \(-0.806092\pi\)
0.820118 0.572194i \(-0.193908\pi\)
\(702\) −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
\(707\) 0.240957 + 2.48906i 0.00906214 + 0.0936106i
\(708\) −41.7562 + 11.1885i −1.56929 + 0.420491i
\(709\) −4.09223 15.2724i −0.153687 0.573567i −0.999214 0.0396350i \(-0.987380\pi\)
0.845527 0.533932i \(-0.179286\pi\)
\(710\) −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 \(-0.892256\pi\)
0.759202 + 0.650855i \(0.225589\pi\)
\(720\) 13.4645 13.4645i 0.501794 0.501794i
\(721\) 19.3843 + 8.82194i 0.721909 + 0.328546i
\(722\) −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 \(-0.647061\pi\)
−0.445743 + 0.895161i \(0.647061\pi\)
\(728\) −70.2708 + 32.3701i −2.60441 + 1.19971i
\(729\) −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 \(-0.639913\pi\)
0.904944 + 0.425531i \(0.139913\pi\)
\(734\) 17.2964 + 64.5510i 0.638422 + 2.38262i
\(735\) 10.4736 5.12162i 0.386324 0.188914i
\(736\) 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 −0.277251 0.960798i \(-0.589423\pi\)
−0.720505 + 0.693450i \(0.756090\pi\)
\(740\) −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 0.799636 + 0.600485i \(0.205026\pi\)
−0.992748 + 0.120218i \(0.961641\pi\)
\(744\) 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
\(749\) −4.34633 44.8970i −0.158811 1.64050i
\(750\) 15.9820 27.6816i 0.583580 1.01079i
\(751\) −29.4512 + 17.0036i −1.07469 + 0.620472i −0.929459 0.368926i \(-0.879725\pi\)
−0.145230 + 0.989398i \(0.546392\pi\)
\(752\) 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
\(756\) −10.8815 + 7.77012i −0.395756 + 0.282596i
\(757\) −12.1464 21.0382i −0.441469 0.764646i 0.556330 0.830961i \(-0.312209\pi\)
−0.997799 + 0.0663153i \(0.978876\pi\)
\(758\) 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 \(-0.481918\pi\)
0.548362 + 0.836241i \(0.315252\pi\)
\(762\) 3.48210 + 3.48210i 0.126143 + 0.126143i
\(763\) 2.05720 + 5.49364i 0.0744757 + 0.198883i
\(764\) −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 \(-0.478958\pi\)
−0.441701 + 0.897162i \(0.645625\pi\)
\(770\) −8.97737 + 53.8162i −0.323522 + 1.93940i
\(771\) 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 −0.841857 0.539701i \(-0.818537\pi\)
0.459219 0.888323i \(-0.348129\pi\)
\(774\) 7.36577 +