Properties

Label 273.2.by.d.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.d.97.8

$q$-expansion

\(f(q)\) \(=\) \(q+(0.687394 - 2.56539i) q^{2} +(-0.866025 + 0.500000i) q^{3} +(-4.37666 - 2.52687i) q^{4} +(-1.17771 + 1.17771i) q^{5} +(0.687394 + 2.56539i) q^{6} +(-1.53750 + 2.15316i) q^{7} +(-5.73490 + 5.73490i) q^{8} +(0.500000 - 0.866025i) q^{9} +O(q^{10})\) \(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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

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

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 −0.919584 0.392894i \(-0.871474\pi\)
0.392894 + 0.919584i \(0.371474\pi\)
\(6\) 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 −0.494734 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 \(-0.555823\pi\)
0.939980 0.341230i \(-0.110843\pi\)
\(18\) −1.87800 1.87800i −0.442648 0.442648i
\(19\) −1.09384 4.08225i −0.250943 0.936532i −0.970303 0.241894i \(-0.922231\pi\)
0.719360 0.694638i \(-0.244435\pi\)
\(20\) 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 −0.0651270 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
\(28\) 12.1699 5.53859i 2.29989 1.04670i
\(29\) −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 \(0.502905\pi\)
−0.999958 + 0.00912491i \(0.997095\pi\)
\(32\) 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 0.305537 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 0.354698 0.934981i \(-0.384584\pi\)
−0.160312 + 0.987066i \(0.551250\pi\)
\(42\) −6.58056 2.46422i −1.01540 0.380237i
\(43\) −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 0.884086 0.467324i \(-0.154782\pi\)
−0.467324 + 0.884086i \(0.654782\pi\)
\(48\) −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 −0.752824 0.658222i \(-0.771309\pi\)
−0.322854 + 0.946449i \(0.604642\pi\)
\(60\) −5.95186 + 5.95186i −0.768381 + 0.768381i
\(61\) 4.22976 + 2.44205i 0.541565 + 0.312673i 0.745713 0.666267i \(-0.232109\pi\)
−0.204148 + 0.978940i \(0.565442\pi\)
\(62\) 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 0.562330 + 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
\(70\) −11.6490 1.12770i −1.39232 0.134786i
\(71\) 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 0.650244 0.759725i \(-0.274667\pi\)
−0.759725 + 0.650244i \(0.774667\pi\)
\(74\) 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 −0.135323 0.990802i \(-0.543207\pi\)
0.990802 + 0.135323i \(0.0432072\pi\)
\(84\) −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 −0.863998 0.503495i \(-0.832047\pi\)
0.999992 0.00403982i \(-0.00128592\pi\)
\(90\) 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 −0.997614 0.0690447i \(-0.978005\pi\)
0.829436 0.558601i \(-0.188662\pi\)
\(98\) −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 0.841555 0.540171i \(-0.181640\pi\)
−0.888579 + 0.458723i \(0.848307\pi\)
\(102\) 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 −0.902617 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
\(112\) −30.1075 2.91461i −2.84489 0.275405i
\(113\) −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
\(119\) 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 −0.569549 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 \(0.0693422\pi\)
−0.976365 + 0.216126i \(0.930658\pi\)
\(132\) −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 0.999020 + 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 0.871497 0.490400i \(-0.163149\pi\)
0.0110494 + 0.999939i \(0.496483\pi\)
\(140\) −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 −0.448752 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
\(154\) −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 \(-0.706223\pi\)
0.603489 0.797371i \(-0.293777\pi\)
\(158\) −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 0.884444 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 −0.910073 0.414448i \(-0.863975\pi\)
0.995370 + 0.0961143i \(0.0306414\pi\)
\(168\) 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 −0.830890 0.556437i \(-0.812168\pi\)
0.897333 + 0.441353i \(0.145501\pi\)
\(174\) 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 −0.999656 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 \(-0.329372\pi\)
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 −0.561362 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 \(0.501489\pi\)
−0.863677 + 0.504046i \(0.831844\pi\)
\(200\) −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 −0.928454 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
\(217\) −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 −0.175586 0.984464i \(-0.556182\pi\)
−0.644294 + 0.764778i \(0.722849\pi\)
\(224\) −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 −0.991261 0.131917i \(-0.957887\pi\)
0.792499 0.609874i \(-0.208780\pi\)
\(228\) −5.52795 20.6306i −0.366098 1.36629i
\(229\) 9.10742 + 9.10742i 0.601835 + 0.601835i 0.940799 0.338964i \(-0.110077\pi\)
−0.338964 + 0.940799i \(0.610077\pi\)
\(230\) 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 \(0.0156079\pi\)
−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
\(238\) 43.7522 7.29855i 2.83604 0.473095i
\(239\) −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 0.0525744 0.998617i \(-0.483257\pi\)
0.544839 + 0.838541i \(0.316591\pi\)
\(242\) 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 0.0917077 + 0.995786i \(0.470767\pi\)
−0.908230 + 0.418472i \(0.862566\pi\)
\(252\) 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 −0.963528 0.267606i \(-0.913767\pi\)
0.250011 0.968243i \(-0.419566\pi\)
\(258\) 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
\(266\) 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 0.647127 0.762383i \(-0.275971\pi\)
−0.336679 + 0.941619i \(0.609304\pi\)
\(270\) −3.83085 + 2.21174i −0.233138 + 0.134602i
\(271\) −1.80033 + 6.71891i −0.109362 + 0.408145i −0.998803 0.0489044i \(-0.984427\pi\)
0.889441 + 0.457049i \(0.151094\pi\)
\(272\) 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 0.785988 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
\(280\) 29.0852 + 20.7688i 1.73817 + 1.24117i
\(281\) −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 \(0.158852\pi\)
−0.0245489 + 0.999699i \(0.507815\pi\)
\(284\) −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 −0.843011 0.537897i \(-0.819219\pi\)
−0.461120 + 0.887338i \(0.652552\pi\)
\(294\) 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 0.531585 0.847005i \(-0.321596\pi\)
−0.847005 + 0.531585i \(0.821596\pi\)
\(308\) −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 \(0.201543\pi\)
−0.806157 + 0.591701i \(0.798457\pi\)
\(314\) −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 0.903509 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
\(322\) 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 0.507064 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
\(336\) 27.5312 12.5296i 1.50195 0.683547i
\(337\) 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
\(343\) 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 −0.747990 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 −0.950332 0.311238i \(-0.899256\pi\)
0.978631 + 0.205626i \(0.0659231\pi\)
\(350\) −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 −0.0785047 0.996914i \(-0.525015\pi\)
−0.566444 + 0.824100i \(0.691681\pi\)
\(354\) −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 −0.865920 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
\(364\) −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 0.191682 0.981457i \(-0.438606\pi\)
0.945808 + 0.324727i \(0.105272\pi\)
\(368\) 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 −0.675154 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 \(2.12613e-5\pi\)
−0.865992 + 0.500058i \(0.833312\pi\)
\(384\) 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 \(0.222740\pi\)
−0.764999 + 0.644032i \(0.777260\pi\)
\(390\) 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 −0.797594 0.603194i \(-0.793894\pi\)
−0.389140 + 0.921179i \(0.627228\pi\)
\(398\) 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 0.701111 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
\(406\) 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 0.911444 + 0.411423i \(0.134968\pi\)
−0.583622 + 0.812025i \(0.698365\pi\)
\(410\) 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 −0.437945 0.899002i \(-0.644294\pi\)
0.559586 + 0.828772i \(0.310960\pi\)
\(420\) −3.66431 21.9663i −0.178800 1.07184i
\(421\) −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
\(427\) −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 −0.225071 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 −0.867803 0.496909i \(-0.834468\pi\)
0.864237 + 0.503085i \(0.167802\pi\)
\(434\) −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 0.946458 0.322826i \(-0.104633\pi\)
−0.752805 + 0.658244i \(0.771300\pi\)
\(440\) −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 0.984770 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
\(455\) 3.75601 + 15.4379i 0.176084 + 0.723739i
\(456\) −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 0.907158 0.420789i \(-0.138247\pi\)
−0.996017 + 0.0891650i \(0.971580\pi\)
\(462\) 26.6591 + 19.0364i 1.24029 + 0.885652i
\(463\) 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 \(-0.209621\pi\)
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 −0.354178 0.935178i \(-0.615239\pi\)
0.774316 0.632799i \(-0.218094\pi\)
\(480\) 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 0.277150 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
\(490\) 20.3384 23.3483i 0.918797 1.05477i
\(491\) 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
\(497\) −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 0.409590 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 0.775209 0.631705i \(-0.217645\pi\)
−0.159468 + 0.987203i \(0.550978\pi\)
\(504\) −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 −0.243846 0.969814i \(-0.578409\pi\)
−0.696084 + 0.717961i \(0.745076\pi\)
\(510\) −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 \(-0.790612\pi\)
0.791332 0.611387i \(-0.209388\pi\)
\(522\) −0.724361 + 2.70335i −0.0317044 + 0.118322i
\(523\) 14.4506 8.34306i 0.631881 0.364817i −0.149599 0.988747i \(-0.547798\pi\)
0.781480 + 0.623930i \(0.214465\pi\)
\(524\) 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 −0.951291 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
\(546\) 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 0.221598 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 −0.926797 0.375564i \(-0.877449\pi\)
0.788646 + 0.614847i \(0.210782\pi\)
\(564\) 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 −0.653329 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
\(574\) 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 −0.799322 0.600903i \(-0.794808\pi\)
0.600903 + 0.799322i \(0.294808\pi\)
\(578\) −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 0.523515 0.852017i \(-0.324621\pi\)
0.0273686 + 0.999625i \(0.491287\pi\)
\(588\) −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 0.258353 0.966051i \(-0.416820\pi\)
−0.966051 + 0.258353i \(0.916820\pi\)
\(594\) −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 −0.463896 0.885889i \(-0.653549\pi\)
0.535255 + 0.844691i \(0.320216\pi\)
\(602\) −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 −0.158901 0.987295i \(-0.550795\pi\)
−0.934473 + 0.356035i \(0.884128\pi\)
\(608\) −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 −0.896933 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
\(616\) −9.63893 + 99.5689i −0.388364 + 4.01175i
\(617\) −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 0.0538424 0.998549i \(-0.482853\pi\)
−0.998549 + 0.0538424i \(0.982853\pi\)
\(620\) −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 −0.974149 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
\(637\) 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 0.478328 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 \(-0.861133\pi\)
0.573633 0.819113i \(-0.305534\pi\)
\(644\) 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 0.760018 0.649902i \(-0.225190\pi\)
−0.942841 + 0.333244i \(0.891857\pi\)
\(648\) 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
\(658\) −2.73584 + 28.2608i −0.106654 + 1.10172i
\(659\) −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 −0.954273 0.298937i \(-0.903368\pi\)
0.975893 + 0.218250i \(0.0700348\pi\)
\(662\) 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 −0.977588 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 \(0.113015\pi\)
−0.937630 + 0.347634i \(0.886985\pi\)
\(678\) −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 −0.886752 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
\(686\) 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 −0.113306 0.993560i \(-0.536144\pi\)
−0.594906 + 0.803795i \(0.702811\pi\)
\(692\) −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 \(-0.806092\pi\)
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
\(707\) 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 −0.999214 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 −0.759202 0.650855i \(-0.774411\pi\)
0.943258 + 0.332061i \(0.107744\pi\)
\(720\) −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 −0.904944 0.425531i \(-0.860087\pi\)
0.425531 + 0.904944i \(0.360087\pi\)
\(734\) −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 −0.277251 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
\(749\) 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 −0.929459 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
\(756\) 5.53859 + 12.1699i 0.201437 + 0.442614i
\(757\) −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 −0.548362 0.836241i \(-0.684748\pi\)
−0.0567745 + 0.998387i \(0.518082\pi\)
\(762\) −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 0.441701 0.897162i \(-0.354375\pi\)
−0.0660568 + 0.997816i \(0.521042\pi\)
\(770\) 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 0.841857 + 0.539701i \(0.181463\pi\)
−0.459219 + 0.888323i \(0.651871\pi\)