Properties

Label 546.2.cg.b.241.6
Level $546$
Weight $2$
Character 546.241
Analytic conductor $4.360$
Analytic rank $0$
Dimension $40$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.cg (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(40\)
Relative dimension: \(10\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 241.6
Character \(\chi\) \(=\) 546.241
Dual form 546.2.cg.b.145.6

$q$-expansion

\(f(q)\) \(=\) \(q+(0.707107 + 0.707107i) q^{2} +(-0.866025 + 0.500000i) q^{3} +1.00000i q^{4} +(-2.31481 - 0.620250i) q^{5} +(-0.965926 - 0.258819i) q^{6} +(-2.57277 - 0.617120i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(0.500000 - 0.866025i) q^{9} +O(q^{10})\) \(q+(0.707107 + 0.707107i) q^{2} +(-0.866025 + 0.500000i) q^{3} +1.00000i q^{4} +(-2.31481 - 0.620250i) q^{5} +(-0.965926 - 0.258819i) q^{6} +(-2.57277 - 0.617120i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(0.500000 - 0.866025i) q^{9} +(-1.19823 - 2.07540i) q^{10} +(3.24561 + 0.869658i) q^{11} +(-0.500000 - 0.866025i) q^{12} +(2.14551 - 2.89772i) q^{13} +(-1.38286 - 2.25560i) q^{14} +(2.31481 - 0.620250i) q^{15} -1.00000 q^{16} -6.37060 q^{17} +(0.965926 - 0.258819i) q^{18} +(-1.65086 - 6.16110i) q^{19} +(0.620250 - 2.31481i) q^{20} +(2.53665 - 0.751945i) q^{21} +(1.68005 + 2.90993i) q^{22} -6.51073i q^{23} +(0.258819 - 0.965926i) q^{24} +(0.643487 + 0.371517i) q^{25} +(3.56610 - 0.531892i) q^{26} +1.00000i q^{27} +(0.617120 - 2.57277i) q^{28} +(1.87496 - 3.24753i) q^{29} +(2.07540 + 1.19823i) q^{30} +(-1.56651 - 5.84629i) q^{31} +(-0.707107 - 0.707107i) q^{32} +(-3.24561 + 0.869658i) q^{33} +(-4.50469 - 4.50469i) q^{34} +(5.57270 + 3.02428i) q^{35} +(0.866025 + 0.500000i) q^{36} +(-2.23541 + 2.23541i) q^{37} +(3.18922 - 5.52389i) q^{38} +(-0.409207 + 3.58225i) q^{39} +(2.07540 - 1.19823i) q^{40} +(2.36414 + 8.82310i) q^{41} +(2.32539 + 1.26197i) q^{42} +(-7.35081 + 4.24399i) q^{43} +(-0.869658 + 3.24561i) q^{44} +(-1.69456 + 1.69456i) q^{45} +(4.60378 - 4.60378i) q^{46} +(-2.14578 + 8.00816i) q^{47} +(0.866025 - 0.500000i) q^{48} +(6.23833 + 3.17542i) q^{49} +(0.192312 + 0.717716i) q^{50} +(5.51710 - 3.18530i) q^{51} +(2.89772 + 2.14551i) q^{52} +(-4.65896 + 8.06956i) q^{53} +(-0.707107 + 0.707107i) q^{54} +(-6.97354 - 4.02618i) q^{55} +(2.25560 - 1.38286i) q^{56} +(4.51024 + 4.51024i) q^{57} +(3.62215 - 0.970553i) q^{58} +(-1.73579 - 1.73579i) q^{59} +(0.620250 + 2.31481i) q^{60} +(-6.53195 - 3.77122i) q^{61} +(3.02626 - 5.24164i) q^{62} +(-1.82083 + 1.91953i) q^{63} -1.00000i q^{64} +(-6.76375 + 5.37690i) q^{65} +(-2.90993 - 1.68005i) q^{66} +(1.93283 - 7.21342i) q^{67} -6.37060i q^{68} +(3.25536 + 5.63845i) q^{69} +(1.80201 + 6.07898i) q^{70} +(0.165170 - 0.616423i) q^{71} +(0.258819 + 0.965926i) q^{72} +(10.6978 - 2.86646i) q^{73} -3.16135 q^{74} -0.743035 q^{75} +(6.16110 - 1.65086i) q^{76} +(-7.81353 - 4.24036i) q^{77} +(-2.82239 + 2.24368i) q^{78} +(-2.75688 - 4.77505i) q^{79} +(2.31481 + 0.620250i) q^{80} +(-0.500000 - 0.866025i) q^{81} +(-4.56717 + 7.91058i) q^{82} +(0.287435 - 0.287435i) q^{83} +(0.751945 + 2.53665i) q^{84} +(14.7467 + 3.95136i) q^{85} +(-8.19877 - 2.19685i) q^{86} +3.74993i q^{87} +(-2.90993 + 1.68005i) q^{88} +(-1.95367 - 1.95367i) q^{89} -2.39646 q^{90} +(-7.30815 + 6.13114i) q^{91} +6.51073 q^{92} +(4.27978 + 4.27978i) q^{93} +(-7.17992 + 4.14533i) q^{94} +15.2857i q^{95} +(0.965926 + 0.258819i) q^{96} +(-3.55971 - 0.953822i) q^{97} +(2.16580 + 6.65652i) q^{98} +(2.37595 - 2.37595i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 40q + 4q^{7} + 20q^{9} + O(q^{10}) \) \( 40q + 4q^{7} + 20q^{9} + 8q^{11} - 20q^{12} + 4q^{14} - 40q^{16} + 16q^{17} + 4q^{19} + 4q^{21} - 4q^{22} - 24q^{25} + 8q^{26} - 4q^{28} - 12q^{29} - 8q^{33} - 8q^{34} - 32q^{35} + 40q^{37} + 8q^{38} + 20q^{39} + 20q^{41} + 12q^{42} - 24q^{43} - 4q^{44} + 32q^{46} + 4q^{47} + 32q^{49} - 16q^{50} + 24q^{51} + 16q^{52} - 4q^{53} + 24q^{55} + 12q^{56} + 8q^{57} + 12q^{58} + 24q^{59} + 60q^{61} + 32q^{62} - 4q^{63} + 44q^{65} - 12q^{67} - 8q^{69} - 24q^{70} - 28q^{71} + 60q^{73} - 40q^{74} - 72q^{75} + 4q^{76} - 12q^{77} + 4q^{78} - 20q^{81} - 24q^{82} + 60q^{83} - 8q^{84} - 4q^{85} - 20q^{86} - 36q^{89} - 16q^{92} - 24q^{93} - 48q^{97} - 88q^{98} + 4q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(1\) \(e\left(\frac{11}{12}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.707107 + 0.707107i 0.500000 + 0.500000i
\(3\) −0.866025 + 0.500000i −0.500000 + 0.288675i
\(4\) 1.00000i 0.500000i
\(5\) −2.31481 0.620250i −1.03521 0.277384i −0.299084 0.954227i \(-0.596681\pi\)
−0.736128 + 0.676842i \(0.763348\pi\)
\(6\) −0.965926 0.258819i −0.394338 0.105662i
\(7\) −2.57277 0.617120i −0.972417 0.233249i
\(8\) −0.707107 + 0.707107i −0.250000 + 0.250000i
\(9\) 0.500000 0.866025i 0.166667 0.288675i
\(10\) −1.19823 2.07540i −0.378914 0.656298i
\(11\) 3.24561 + 0.869658i 0.978587 + 0.262212i 0.712450 0.701723i \(-0.247586\pi\)
0.266138 + 0.963935i \(0.414252\pi\)
\(12\) −0.500000 0.866025i −0.144338 0.250000i
\(13\) 2.14551 2.89772i 0.595058 0.803683i
\(14\) −1.38286 2.25560i −0.369584 0.602833i
\(15\) 2.31481 0.620250i 0.597680 0.160148i
\(16\) −1.00000 −0.250000
\(17\) −6.37060 −1.54510 −0.772548 0.634956i \(-0.781018\pi\)
−0.772548 + 0.634956i \(0.781018\pi\)
\(18\) 0.965926 0.258819i 0.227671 0.0610042i
\(19\) −1.65086 6.16110i −0.378734 1.41345i −0.847812 0.530297i \(-0.822080\pi\)
0.469078 0.883157i \(-0.344586\pi\)
\(20\) 0.620250 2.31481i 0.138692 0.517606i
\(21\) 2.53665 0.751945i 0.553542 0.164088i
\(22\) 1.68005 + 2.90993i 0.358188 + 0.620400i
\(23\) 6.51073i 1.35758i −0.734332 0.678790i \(-0.762505\pi\)
0.734332 0.678790i \(-0.237495\pi\)
\(24\) 0.258819 0.965926i 0.0528312 0.197169i
\(25\) 0.643487 + 0.371517i 0.128697 + 0.0743035i
\(26\) 3.56610 0.531892i 0.699370 0.104313i
\(27\) 1.00000i 0.192450i
\(28\) 0.617120 2.57277i 0.116625 0.486208i
\(29\) 1.87496 3.24753i 0.348172 0.603052i −0.637753 0.770241i \(-0.720136\pi\)
0.985925 + 0.167189i \(0.0534691\pi\)
\(30\) 2.07540 + 1.19823i 0.378914 + 0.218766i
\(31\) −1.56651 5.84629i −0.281353 1.05002i −0.951463 0.307762i \(-0.900420\pi\)
0.670110 0.742262i \(-0.266247\pi\)
\(32\) −0.707107 0.707107i −0.125000 0.125000i
\(33\) −3.24561 + 0.869658i −0.564988 + 0.151388i
\(34\) −4.50469 4.50469i −0.772548 0.772548i
\(35\) 5.57270 + 3.02428i 0.941958 + 0.511196i
\(36\) 0.866025 + 0.500000i 0.144338 + 0.0833333i
\(37\) −2.23541 + 2.23541i −0.367500 + 0.367500i −0.866565 0.499065i \(-0.833677\pi\)
0.499065 + 0.866565i \(0.333677\pi\)
\(38\) 3.18922 5.52389i 0.517360 0.896094i
\(39\) −0.409207 + 3.58225i −0.0655256 + 0.573620i
\(40\) 2.07540 1.19823i 0.328149 0.189457i
\(41\) 2.36414 + 8.82310i 0.369217 + 1.37794i 0.861613 + 0.507566i \(0.169455\pi\)
−0.492396 + 0.870371i \(0.663879\pi\)
\(42\) 2.32539 + 1.26197i 0.358815 + 0.194727i
\(43\) −7.35081 + 4.24399i −1.12099 + 0.647203i −0.941653 0.336585i \(-0.890728\pi\)
−0.179335 + 0.983788i \(0.557395\pi\)
\(44\) −0.869658 + 3.24561i −0.131106 + 0.489294i
\(45\) −1.69456 + 1.69456i −0.252609 + 0.252609i
\(46\) 4.60378 4.60378i 0.678790 0.678790i
\(47\) −2.14578 + 8.00816i −0.312994 + 1.16811i 0.612848 + 0.790201i \(0.290024\pi\)
−0.925842 + 0.377910i \(0.876643\pi\)
\(48\) 0.866025 0.500000i 0.125000 0.0721688i
\(49\) 6.23833 + 3.17542i 0.891189 + 0.453631i
\(50\) 0.192312 + 0.717716i 0.0271970 + 0.101500i
\(51\) 5.51710 3.18530i 0.772548 0.446031i
\(52\) 2.89772 + 2.14551i 0.401841 + 0.297529i
\(53\) −4.65896 + 8.06956i −0.639958 + 1.10844i 0.345484 + 0.938425i \(0.387715\pi\)
−0.985442 + 0.170015i \(0.945618\pi\)
\(54\) −0.707107 + 0.707107i −0.0962250 + 0.0962250i
\(55\) −6.97354 4.02618i −0.940312 0.542890i
\(56\) 2.25560 1.38286i 0.301417 0.184792i
\(57\) 4.51024 + 4.51024i 0.597396 + 0.597396i
\(58\) 3.62215 0.970553i 0.475612 0.127440i
\(59\) −1.73579 1.73579i −0.225980 0.225980i 0.585031 0.811011i \(-0.301082\pi\)
−0.811011 + 0.585031i \(0.801082\pi\)
\(60\) 0.620250 + 2.31481i 0.0800740 + 0.298840i
\(61\) −6.53195 3.77122i −0.836331 0.482856i 0.0196846 0.999806i \(-0.493734\pi\)
−0.856015 + 0.516950i \(0.827067\pi\)
\(62\) 3.02626 5.24164i 0.384335 0.665689i
\(63\) −1.82083 + 1.91953i −0.229403 + 0.241838i
\(64\) 1.00000i 0.125000i
\(65\) −6.76375 + 5.37690i −0.838940 + 0.666923i
\(66\) −2.90993 1.68005i −0.358188 0.206800i
\(67\) 1.93283 7.21342i 0.236133 0.881259i −0.741502 0.670950i \(-0.765886\pi\)
0.977635 0.210309i \(-0.0674469\pi\)
\(68\) 6.37060i 0.772548i
\(69\) 3.25536 + 5.63845i 0.391900 + 0.678790i
\(70\) 1.80201 + 6.07898i 0.215381 + 0.726577i
\(71\) 0.165170 0.616423i 0.0196021 0.0731559i −0.955432 0.295211i \(-0.904610\pi\)
0.975034 + 0.222055i \(0.0712766\pi\)
\(72\) 0.258819 + 0.965926i 0.0305021 + 0.113835i
\(73\) 10.6978 2.86646i 1.25208 0.335493i 0.428939 0.903333i \(-0.358887\pi\)
0.823139 + 0.567840i \(0.192221\pi\)
\(74\) −3.16135 −0.367500
\(75\) −0.743035 −0.0857983
\(76\) 6.16110 1.65086i 0.706727 0.189367i
\(77\) −7.81353 4.24036i −0.890434 0.483234i
\(78\) −2.82239 + 2.24368i −0.319573 + 0.254047i
\(79\) −2.75688 4.77505i −0.310173 0.537235i 0.668227 0.743958i \(-0.267054\pi\)
−0.978400 + 0.206722i \(0.933720\pi\)
\(80\) 2.31481 + 0.620250i 0.258803 + 0.0693461i
\(81\) −0.500000 0.866025i −0.0555556 0.0962250i
\(82\) −4.56717 + 7.91058i −0.504360 + 0.873577i
\(83\) 0.287435 0.287435i 0.0315501 0.0315501i −0.691156 0.722706i \(-0.742898\pi\)
0.722706 + 0.691156i \(0.242898\pi\)
\(84\) 0.751945 + 2.53665i 0.0820439 + 0.276771i
\(85\) 14.7467 + 3.95136i 1.59950 + 0.428586i
\(86\) −8.19877 2.19685i −0.884096 0.236893i
\(87\) 3.74993i 0.402035i
\(88\) −2.90993 + 1.68005i −0.310200 + 0.179094i
\(89\) −1.95367 1.95367i −0.207088 0.207088i 0.595940 0.803029i \(-0.296779\pi\)
−0.803029 + 0.595940i \(0.796779\pi\)
\(90\) −2.39646 −0.252609
\(91\) −7.30815 + 6.13114i −0.766103 + 0.642718i
\(92\) 6.51073 0.678790
\(93\) 4.27978 + 4.27978i 0.443792 + 0.443792i
\(94\) −7.17992 + 4.14533i −0.740552 + 0.427558i
\(95\) 15.2857i 1.56828i
\(96\) 0.965926 + 0.258819i 0.0985844 + 0.0264156i
\(97\) −3.55971 0.953822i −0.361434 0.0968460i 0.0735319 0.997293i \(-0.476573\pi\)
−0.434966 + 0.900447i \(0.643240\pi\)
\(98\) 2.16580 + 6.65652i 0.218779 + 0.672410i
\(99\) 2.37595 2.37595i 0.238792 0.238792i
\(100\) −0.371517 + 0.643487i −0.0371517 + 0.0643487i
\(101\) −2.42268 4.19620i −0.241066 0.417538i 0.719953 0.694023i \(-0.244164\pi\)
−0.961018 + 0.276485i \(0.910830\pi\)
\(102\) 6.15352 + 1.64883i 0.609290 + 0.163259i
\(103\) −8.89257 15.4024i −0.876211 1.51764i −0.855467 0.517857i \(-0.826730\pi\)
−0.0207442 0.999785i \(-0.506604\pi\)
\(104\) 0.531892 + 3.56610i 0.0521563 + 0.349685i
\(105\) −6.33824 + 0.167251i −0.618549 + 0.0163220i
\(106\) −9.00043 + 2.41166i −0.874199 + 0.234241i
\(107\) −13.3757 −1.29308 −0.646540 0.762880i \(-0.723785\pi\)
−0.646540 + 0.762880i \(0.723785\pi\)
\(108\) −1.00000 −0.0962250
\(109\) 9.91417 2.65649i 0.949605 0.254446i 0.249411 0.968398i \(-0.419763\pi\)
0.700195 + 0.713952i \(0.253096\pi\)
\(110\) −2.08410 7.77798i −0.198711 0.741601i
\(111\) 0.818218 3.05363i 0.0776619 0.289838i
\(112\) 2.57277 + 0.617120i 0.243104 + 0.0583124i
\(113\) 6.08846 + 10.5455i 0.572754 + 0.992040i 0.996282 + 0.0861564i \(0.0274585\pi\)
−0.423527 + 0.905883i \(0.639208\pi\)
\(114\) 6.37844i 0.597396i
\(115\) −4.03828 + 15.0711i −0.376572 + 1.40538i
\(116\) 3.24753 + 1.87496i 0.301526 + 0.174086i
\(117\) −1.43674 3.30693i −0.132827 0.305726i
\(118\) 2.45477i 0.225980i
\(119\) 16.3901 + 3.93142i 1.50248 + 0.360393i
\(120\) −1.19823 + 2.07540i −0.109383 + 0.189457i
\(121\) 0.251383 + 0.145136i 0.0228530 + 0.0131942i
\(122\) −1.95213 7.28545i −0.176737 0.659593i
\(123\) −6.45896 6.45896i −0.582385 0.582385i
\(124\) 5.84629 1.56651i 0.525012 0.140677i
\(125\) 7.21366 + 7.21366i 0.645210 + 0.645210i
\(126\) −2.64483 + 0.0697906i −0.235620 + 0.00621744i
\(127\) 3.36327 + 1.94179i 0.298442 + 0.172306i 0.641743 0.766920i \(-0.278212\pi\)
−0.343301 + 0.939226i \(0.611545\pi\)
\(128\) 0.707107 0.707107i 0.0625000 0.0625000i
\(129\) 4.24399 7.35081i 0.373663 0.647203i
\(130\) −8.58474 0.980649i −0.752932 0.0860086i
\(131\) −14.6139 + 8.43733i −1.27682 + 0.737173i −0.976263 0.216590i \(-0.930507\pi\)
−0.300559 + 0.953763i \(0.597173\pi\)
\(132\) −0.869658 3.24561i −0.0756940 0.282494i
\(133\) 0.445155 + 16.8699i 0.0385999 + 1.46281i
\(134\) 6.46737 3.73394i 0.558696 0.322563i
\(135\) 0.620250 2.31481i 0.0533826 0.199227i
\(136\) 4.50469 4.50469i 0.386274 0.386274i
\(137\) 0.206381 0.206381i 0.0176323 0.0176323i −0.698236 0.715868i \(-0.746031\pi\)
0.715868 + 0.698236i \(0.246031\pi\)
\(138\) −1.68510 + 6.28888i −0.143445 + 0.535345i
\(139\) 7.59129 4.38283i 0.643884 0.371747i −0.142225 0.989834i \(-0.545426\pi\)
0.786109 + 0.618088i \(0.212092\pi\)
\(140\) −3.02428 + 5.57270i −0.255598 + 0.470979i
\(141\) −2.14578 8.00816i −0.180707 0.674409i
\(142\) 0.552669 0.319084i 0.0463790 0.0267769i
\(143\) 9.48351 7.53900i 0.793051 0.630443i
\(144\) −0.500000 + 0.866025i −0.0416667 + 0.0721688i
\(145\) −6.35446 + 6.35446i −0.527709 + 0.527709i
\(146\) 9.59135 + 5.53757i 0.793786 + 0.458292i
\(147\) −6.99026 + 0.369168i −0.576547 + 0.0304485i
\(148\) −2.23541 2.23541i −0.183750 0.183750i
\(149\) 4.01080 1.07469i 0.328577 0.0880420i −0.0907593 0.995873i \(-0.528929\pi\)
0.419337 + 0.907831i \(0.362263\pi\)
\(150\) −0.525405 0.525405i −0.0428991 0.0428991i
\(151\) −3.35695 12.5283i −0.273185 1.01954i −0.957048 0.289929i \(-0.906368\pi\)
0.683864 0.729610i \(-0.260298\pi\)
\(152\) 5.52389 + 3.18922i 0.448047 + 0.258680i
\(153\) −3.18530 + 5.51710i −0.257516 + 0.446031i
\(154\) −2.52661 8.52339i −0.203600 0.686834i
\(155\) 14.5046i 1.16504i
\(156\) −3.58225 0.409207i −0.286810 0.0327628i
\(157\) −7.83081 4.52112i −0.624966 0.360825i 0.153834 0.988097i \(-0.450838\pi\)
−0.778800 + 0.627272i \(0.784171\pi\)
\(158\) 1.42707 5.32588i 0.113531 0.423704i
\(159\) 9.31793i 0.738960i
\(160\) 1.19823 + 2.07540i 0.0947285 + 0.164075i
\(161\) −4.01790 + 16.7506i −0.316655 + 1.32013i
\(162\) 0.258819 0.965926i 0.0203347 0.0758903i
\(163\) 2.58647 + 9.65282i 0.202588 + 0.756068i 0.990171 + 0.139860i \(0.0446652\pi\)
−0.787584 + 0.616208i \(0.788668\pi\)
\(164\) −8.82310 + 2.36414i −0.688968 + 0.184609i
\(165\) 8.05236 0.626875
\(166\) 0.406494 0.0315501
\(167\) 9.35729 2.50728i 0.724089 0.194019i 0.122093 0.992519i \(-0.461039\pi\)
0.601995 + 0.798500i \(0.294373\pi\)
\(168\) −1.26197 + 2.32539i −0.0973635 + 0.179407i
\(169\) −3.79356 12.4342i −0.291813 0.956475i
\(170\) 7.63345 + 13.2215i 0.585459 + 1.01404i
\(171\) −6.16110 1.65086i −0.471151 0.126245i
\(172\) −4.24399 7.35081i −0.323601 0.560494i
\(173\) −4.39738 + 7.61648i −0.334326 + 0.579070i −0.983355 0.181694i \(-0.941842\pi\)
0.649029 + 0.760764i \(0.275175\pi\)
\(174\) −2.65160 + 2.65160i −0.201017 + 0.201017i
\(175\) −1.42628 1.35294i −0.107816 0.102273i
\(176\) −3.24561 0.869658i −0.244647 0.0655529i
\(177\) 2.37113 + 0.635342i 0.178225 + 0.0477552i
\(178\) 2.76290i 0.207088i
\(179\) 11.4198 6.59322i 0.853555 0.492800i −0.00829395 0.999966i \(-0.502640\pi\)
0.861849 + 0.507166i \(0.169307\pi\)
\(180\) −1.69456 1.69456i −0.126305 0.126305i
\(181\) −1.53653 −0.114209 −0.0571046 0.998368i \(-0.518187\pi\)
−0.0571046 + 0.998368i \(0.518187\pi\)
\(182\) −9.50302 0.832275i −0.704410 0.0616924i
\(183\) 7.54245 0.557554
\(184\) 4.60378 + 4.60378i 0.339395 + 0.339395i
\(185\) 6.56107 3.78803i 0.482379 0.278502i
\(186\) 6.05252i 0.443792i
\(187\) −20.6765 5.54024i −1.51201 0.405142i
\(188\) −8.00816 2.14578i −0.584055 0.156497i
\(189\) 0.617120 2.57277i 0.0448889 0.187142i
\(190\) −10.8086 + 10.8086i −0.784140 + 0.784140i
\(191\) 13.6091 23.5717i 0.984722 1.70559i 0.341558 0.939861i \(-0.389046\pi\)
0.643165 0.765728i \(-0.277621\pi\)
\(192\) 0.500000 + 0.866025i 0.0360844 + 0.0625000i
\(193\) −2.07410 0.555754i −0.149297 0.0400040i 0.183396 0.983039i \(-0.441291\pi\)
−0.332694 + 0.943035i \(0.607957\pi\)
\(194\) −1.84264 3.19155i −0.132294 0.229140i
\(195\) 3.16913 8.03841i 0.226946 0.575643i
\(196\) −3.17542 + 6.23833i −0.226816 + 0.445595i
\(197\) 21.2058 5.68207i 1.51085 0.404831i 0.594132 0.804368i \(-0.297496\pi\)
0.916717 + 0.399537i \(0.130829\pi\)
\(198\) 3.36010 0.238792
\(199\) 25.0379 1.77489 0.887443 0.460917i \(-0.152479\pi\)
0.887443 + 0.460917i \(0.152479\pi\)
\(200\) −0.717716 + 0.192312i −0.0507502 + 0.0135985i
\(201\) 1.93283 + 7.21342i 0.136331 + 0.508795i
\(202\) 1.25407 4.68026i 0.0882361 0.329302i
\(203\) −6.82798 + 7.19809i −0.479230 + 0.505207i
\(204\) 3.18530 + 5.51710i 0.223015 + 0.386274i
\(205\) 21.8901i 1.52887i
\(206\) 4.60313 17.1791i 0.320716 1.19693i
\(207\) −5.63845 3.25536i −0.391900 0.226263i
\(208\) −2.14551 + 2.89772i −0.148764 + 0.200921i
\(209\) 21.4322i 1.48250i
\(210\) −4.60008 4.36355i −0.317435 0.301113i
\(211\) −11.9314 + 20.6658i −0.821392 + 1.42269i 0.0832538 + 0.996528i \(0.473469\pi\)
−0.904646 + 0.426164i \(0.859865\pi\)
\(212\) −8.06956 4.65896i −0.554220 0.319979i
\(213\) 0.165170 + 0.616423i 0.0113173 + 0.0422366i
\(214\) −9.45806 9.45806i −0.646540 0.646540i
\(215\) 19.6480 5.26468i 1.33998 0.359048i
\(216\) −0.707107 0.707107i −0.0481125 0.0481125i
\(217\) 0.422409 + 16.0079i 0.0286750 + 1.08669i
\(218\) 8.88880 + 5.13195i 0.602026 + 0.347580i
\(219\) −7.83130 + 7.83130i −0.529190 + 0.529190i
\(220\) 4.02618 6.97354i 0.271445 0.470156i
\(221\) −13.6682 + 18.4602i −0.919421 + 1.24177i
\(222\) 2.73781 1.58068i 0.183750 0.106088i
\(223\) −3.96426 14.7948i −0.265467 0.990735i −0.961964 0.273176i \(-0.911926\pi\)
0.696498 0.717559i \(-0.254741\pi\)
\(224\) 1.38286 + 2.25560i 0.0923959 + 0.150708i
\(225\) 0.643487 0.371517i 0.0428991 0.0247678i
\(226\) −3.15162 + 11.7620i −0.209643 + 0.782397i
\(227\) −7.34882 + 7.34882i −0.487758 + 0.487758i −0.907598 0.419840i \(-0.862086\pi\)
0.419840 + 0.907598i \(0.362086\pi\)
\(228\) −4.51024 + 4.51024i −0.298698 + 0.298698i
\(229\) −3.99160 + 14.8969i −0.263773 + 0.984413i 0.699225 + 0.714902i \(0.253529\pi\)
−0.962997 + 0.269511i \(0.913138\pi\)
\(230\) −13.5123 + 7.80136i −0.890978 + 0.514406i
\(231\) 8.88690 0.234503i 0.584715 0.0154292i
\(232\) 0.970553 + 3.62215i 0.0637199 + 0.237806i
\(233\) 3.08882 1.78333i 0.202355 0.116830i −0.395398 0.918510i \(-0.629393\pi\)
0.597754 + 0.801680i \(0.296060\pi\)
\(234\) 1.32242 3.35428i 0.0864493 0.219276i
\(235\) 9.93413 17.2064i 0.648031 1.12242i
\(236\) 1.73579 1.73579i 0.112990 0.112990i
\(237\) 4.77505 + 2.75688i 0.310173 + 0.179078i
\(238\) 8.80961 + 14.3695i 0.571042 + 0.931435i
\(239\) −13.8603 13.8603i −0.896550 0.896550i 0.0985792 0.995129i \(-0.468570\pi\)
−0.995129 + 0.0985792i \(0.968570\pi\)
\(240\) −2.31481 + 0.620250i −0.149420 + 0.0400370i
\(241\) 19.6223 + 19.6223i 1.26398 + 1.26398i 0.949145 + 0.314838i \(0.101950\pi\)
0.314838 + 0.949145i \(0.398050\pi\)
\(242\) 0.0751278 + 0.280381i 0.00482940 + 0.0180236i
\(243\) 0.866025 + 0.500000i 0.0555556 + 0.0320750i
\(244\) 3.77122 6.53195i 0.241428 0.418165i
\(245\) −12.4710 11.2198i −0.796740 0.716807i
\(246\) 9.13435i 0.582385i
\(247\) −21.3951 8.43498i −1.36134 0.536705i
\(248\) 5.24164 + 3.02626i 0.332844 + 0.192168i
\(249\) −0.105209 + 0.392643i −0.00666732 + 0.0248828i
\(250\) 10.2017i 0.645210i
\(251\) −10.3080 17.8540i −0.650637 1.12694i −0.982969 0.183774i \(-0.941169\pi\)
0.332332 0.943163i \(-0.392165\pi\)
\(252\) −1.91953 1.82083i −0.120919 0.114701i
\(253\) 5.66210 21.1313i 0.355973 1.32851i
\(254\) 1.00514 + 3.75124i 0.0630682 + 0.235374i
\(255\) −14.7467 + 3.95136i −0.923473 + 0.247444i
\(256\) 1.00000 0.0625000
\(257\) 23.0075 1.43517 0.717586 0.696470i \(-0.245247\pi\)
0.717586 + 0.696470i \(0.245247\pi\)
\(258\) 8.19877 2.19685i 0.510433 0.136770i
\(259\) 7.13073 4.37170i 0.443082 0.271644i
\(260\) −5.37690 6.76375i −0.333461 0.419470i
\(261\) −1.87496 3.24753i −0.116057 0.201017i
\(262\) −16.2997 4.36749i −1.00700 0.269824i
\(263\) −5.42117 9.38974i −0.334284 0.578996i 0.649063 0.760734i \(-0.275161\pi\)
−0.983347 + 0.181738i \(0.941828\pi\)
\(264\) 1.68005 2.90993i 0.103400 0.179094i
\(265\) 15.7897 15.7897i 0.969956 0.969956i
\(266\) −11.6141 + 12.2436i −0.712103 + 0.750703i
\(267\) 2.66876 + 0.715092i 0.163325 + 0.0437629i
\(268\) 7.21342 + 1.93283i 0.440630 + 0.118066i
\(269\) 21.4209i 1.30605i 0.757335 + 0.653027i \(0.226501\pi\)
−0.757335 + 0.653027i \(0.773499\pi\)
\(270\) 2.07540 1.19823i 0.126305 0.0729220i
\(271\) 23.2139 + 23.2139i 1.41014 + 1.41014i 0.758686 + 0.651457i \(0.225842\pi\)
0.651457 + 0.758686i \(0.274158\pi\)
\(272\) 6.37060 0.386274
\(273\) 3.26348 8.96380i 0.197515 0.542514i
\(274\) 0.291867 0.0176323
\(275\) 1.76541 + 1.76541i 0.106458 + 0.106458i
\(276\) −5.63845 + 3.25536i −0.339395 + 0.195950i
\(277\) 17.9129i 1.07628i 0.842855 + 0.538140i \(0.180873\pi\)
−0.842855 + 0.538140i \(0.819127\pi\)
\(278\) 8.46698 + 2.26872i 0.507816 + 0.136069i
\(279\) −5.84629 1.56651i −0.350008 0.0937844i
\(280\) −6.07898 + 1.80201i −0.363289 + 0.107691i
\(281\) −7.49939 + 7.49939i −0.447376 + 0.447376i −0.894481 0.447105i \(-0.852455\pi\)
0.447105 + 0.894481i \(0.352455\pi\)
\(282\) 4.14533 7.17992i 0.246851 0.427558i
\(283\) −10.8689 18.8255i −0.646088 1.11906i −0.984049 0.177897i \(-0.943071\pi\)
0.337961 0.941160i \(-0.390263\pi\)
\(284\) 0.616423 + 0.165170i 0.0365780 + 0.00980103i
\(285\) −7.64285 13.2378i −0.452723 0.784140i
\(286\) 12.0367 + 1.37498i 0.711747 + 0.0813040i
\(287\) −0.637491 24.1588i −0.0376299 1.42605i
\(288\) −0.965926 + 0.258819i −0.0569177 + 0.0152511i
\(289\) 23.5845 1.38732
\(290\) −8.98657 −0.527709
\(291\) 3.55971 0.953822i 0.208674 0.0559141i
\(292\) 2.86646 + 10.6978i 0.167747 + 0.626039i
\(293\) 0.450034 1.67955i 0.0262913 0.0981203i −0.951533 0.307545i \(-0.900492\pi\)
0.977825 + 0.209425i \(0.0671592\pi\)
\(294\) −5.20390 4.68182i −0.303498 0.273049i
\(295\) 2.94139 + 5.09463i 0.171254 + 0.296621i
\(296\) 3.16135i 0.183750i
\(297\) −0.869658 + 3.24561i −0.0504627 + 0.188329i
\(298\) 3.59598 + 2.07614i 0.208310 + 0.120268i
\(299\) −18.8663 13.9688i −1.09106 0.807839i
\(300\) 0.743035i 0.0428991i
\(301\) 21.5310 6.38250i 1.24103 0.367881i
\(302\) 6.48513 11.2326i 0.373177 0.646362i
\(303\) 4.19620 + 2.42268i 0.241066 + 0.139179i
\(304\) 1.65086 + 6.16110i 0.0946835 + 0.353363i
\(305\) 12.7811 + 12.7811i 0.731843 + 0.731843i
\(306\) −6.15352 + 1.64883i −0.351773 + 0.0942574i
\(307\) 10.5367 + 10.5367i 0.601358 + 0.601358i 0.940673 0.339315i \(-0.110195\pi\)
−0.339315 + 0.940673i \(0.610195\pi\)
\(308\) 4.24036 7.81353i 0.241617 0.445217i
\(309\) 15.4024 + 8.89257i 0.876211 + 0.505881i
\(310\) −10.2563 + 10.2563i −0.582520 + 0.582520i
\(311\) 0.0418085 0.0724144i 0.00237074 0.00410624i −0.864838 0.502052i \(-0.832579\pi\)
0.867208 + 0.497945i \(0.165912\pi\)
\(312\) −2.24368 2.82239i −0.127024 0.159786i
\(313\) −21.7563 + 12.5610i −1.22974 + 0.709991i −0.966976 0.254869i \(-0.917968\pi\)
−0.262765 + 0.964860i \(0.584634\pi\)
\(314\) −2.34030 8.73413i −0.132071 0.492895i
\(315\) 5.40545 3.31396i 0.304563 0.186721i
\(316\) 4.77505 2.75688i 0.268618 0.155086i
\(317\) 5.17664 19.3195i 0.290749 1.08509i −0.653786 0.756680i \(-0.726820\pi\)
0.944535 0.328411i \(-0.106513\pi\)
\(318\) 6.58877 6.58877i 0.369480 0.369480i
\(319\) 8.90964 8.90964i 0.498844 0.498844i
\(320\) −0.620250 + 2.31481i −0.0346730 + 0.129402i
\(321\) 11.5837 6.68786i 0.646540 0.373280i
\(322\) −14.6856 + 9.00339i −0.818394 + 0.501740i
\(323\) 10.5170 + 39.2499i 0.585180 + 2.18392i
\(324\) 0.866025 0.500000i 0.0481125 0.0277778i
\(325\) 2.45716 1.06755i 0.136299 0.0592170i
\(326\) −4.99667 + 8.65449i −0.276740 + 0.479328i
\(327\) −7.25768 + 7.25768i −0.401351 + 0.401351i
\(328\) −7.91058 4.56717i −0.436788 0.252180i
\(329\) 10.4626 19.2790i 0.576822 1.06288i
\(330\) 5.69387 + 5.69387i 0.313437 + 0.313437i
\(331\) −11.0351 + 2.95685i −0.606546 + 0.162523i −0.549004 0.835820i \(-0.684993\pi\)
−0.0575415 + 0.998343i \(0.518326\pi\)
\(332\) 0.287435 + 0.287435i 0.0157750 + 0.0157750i
\(333\) 0.818218 + 3.05363i 0.0448381 + 0.167338i
\(334\) 8.38951 + 4.84369i 0.459054 + 0.265035i
\(335\) −8.94825 + 15.4988i −0.488895 + 0.846791i
\(336\) −2.53665 + 0.751945i −0.138385 + 0.0410220i
\(337\) 0.594432i 0.0323808i −0.999869 0.0161904i \(-0.994846\pi\)
0.999869 0.0161904i \(-0.00515378\pi\)
\(338\) 6.10984 11.4747i 0.332331 0.624144i
\(339\) −10.5455 6.08846i −0.572754 0.330680i
\(340\) −3.95136 + 14.7467i −0.214293 + 0.799751i
\(341\) 20.3371i 1.10131i
\(342\) −3.18922 5.52389i −0.172453 0.298698i
\(343\) −14.0902 12.0194i −0.760798 0.648988i
\(344\) 2.19685 8.19877i 0.118446 0.442048i
\(345\) −4.03828 15.0711i −0.217414 0.811399i
\(346\) −8.49508 + 2.27625i −0.456698 + 0.122372i
\(347\) −27.1085 −1.45526 −0.727629 0.685971i \(-0.759378\pi\)
−0.727629 + 0.685971i \(0.759378\pi\)
\(348\) −3.74993 −0.201017
\(349\) −3.89257 + 1.04301i −0.208365 + 0.0558311i −0.361491 0.932375i \(-0.617732\pi\)
0.153127 + 0.988207i \(0.451066\pi\)
\(350\) −0.0518568 1.96520i −0.00277186 0.105044i
\(351\) 2.89772 + 2.14551i 0.154669 + 0.114519i
\(352\) −1.68005 2.90993i −0.0895470 0.155100i
\(353\) −18.2741 4.89653i −0.972631 0.260616i −0.262693 0.964879i \(-0.584611\pi\)
−0.709939 + 0.704264i \(0.751277\pi\)
\(354\) 1.22739 + 2.12590i 0.0652349 + 0.112990i
\(355\) −0.764673 + 1.32445i −0.0405846 + 0.0702946i
\(356\) 1.95367 1.95367i 0.103544 0.103544i
\(357\) −16.1600 + 4.79034i −0.855275 + 0.253532i
\(358\) 12.7371 + 3.41290i 0.673177 + 0.180377i
\(359\) 7.21299 + 1.93271i 0.380687 + 0.102005i 0.444088 0.895983i \(-0.353528\pi\)
−0.0634006 + 0.997988i \(0.520195\pi\)
\(360\) 2.39646i 0.126305i
\(361\) −18.7794 + 10.8423i −0.988387 + 0.570646i
\(362\) −1.08649 1.08649i −0.0571046 0.0571046i
\(363\) −0.290272 −0.0152353
\(364\) −6.13114 7.30815i −0.321359 0.383051i
\(365\) −26.5412 −1.38923
\(366\) 5.33332 + 5.33332i 0.278777 + 0.278777i
\(367\) 31.5624 18.2225i 1.64754 0.951209i 0.669498 0.742814i \(-0.266509\pi\)
0.978045 0.208396i \(-0.0668241\pi\)
\(368\) 6.51073i 0.339395i
\(369\) 8.82310 + 2.36414i 0.459312 + 0.123072i
\(370\) 7.31792 + 1.96083i 0.380440 + 0.101939i
\(371\) 16.9663 17.8860i 0.880849 0.928596i
\(372\) −4.27978 + 4.27978i −0.221896 + 0.221896i
\(373\) 6.36136 11.0182i 0.329379 0.570501i −0.653010 0.757349i \(-0.726494\pi\)
0.982389 + 0.186848i \(0.0598273\pi\)
\(374\) −10.7029 18.5380i −0.553435 0.958577i
\(375\) −9.85405 2.64038i −0.508861 0.136349i
\(376\) −4.14533 7.17992i −0.213779 0.370276i
\(377\) −5.38769 12.4007i −0.277480 0.638671i
\(378\) 2.25560 1.38286i 0.116015 0.0711264i
\(379\) −5.32301 + 1.42630i −0.273425 + 0.0732640i −0.392926 0.919570i \(-0.628537\pi\)
0.119501 + 0.992834i \(0.461870\pi\)
\(380\) −15.2857 −0.784140
\(381\) −3.88357 −0.198961
\(382\) 26.2908 7.04460i 1.34516 0.360433i
\(383\) −1.73622 6.47965i −0.0887165 0.331095i 0.907275 0.420537i \(-0.138158\pi\)
−0.995992 + 0.0894422i \(0.971492\pi\)
\(384\) −0.258819 + 0.965926i −0.0132078 + 0.0492922i
\(385\) 15.4567 + 14.6620i 0.787747 + 0.747242i
\(386\) −1.07363 1.85959i −0.0546465 0.0946505i
\(387\) 8.48799i 0.431469i
\(388\) 0.953822 3.55971i 0.0484230 0.180717i
\(389\) −21.4686 12.3949i −1.08850 0.628446i −0.155324 0.987864i \(-0.549642\pi\)
−0.933177 + 0.359417i \(0.882975\pi\)
\(390\) 7.92493 3.44310i 0.401294 0.174348i
\(391\) 41.4772i 2.09759i
\(392\) −6.65652 + 2.16580i −0.336205 + 0.109389i
\(393\) 8.43733 14.6139i 0.425607 0.737173i
\(394\) 19.0126 + 10.9769i 0.957840 + 0.553009i
\(395\) 3.41991 + 12.7633i 0.172074 + 0.642190i
\(396\) 2.37595 + 2.37595i 0.119396 + 0.119396i
\(397\) −14.8401 + 3.97640i −0.744805 + 0.199570i −0.611213 0.791467i \(-0.709318\pi\)
−0.133592 + 0.991036i \(0.542651\pi\)
\(398\) 17.7044 + 17.7044i 0.887443 + 0.887443i
\(399\) −8.82047 14.3872i −0.441576 0.720260i
\(400\) −0.643487 0.371517i −0.0321743 0.0185759i
\(401\) 12.3604 12.3604i 0.617249 0.617249i −0.327576 0.944825i \(-0.606232\pi\)
0.944825 + 0.327576i \(0.106232\pi\)
\(402\) −3.73394 + 6.46737i −0.186232 + 0.322563i
\(403\) −20.3019 8.00397i −1.01131 0.398706i
\(404\) 4.19620 2.42268i 0.208769 0.120533i
\(405\) 0.620250 + 2.31481i 0.0308205 + 0.115024i
\(406\) −9.91793 + 0.261710i −0.492219 + 0.0129884i
\(407\) −9.19932 + 5.31123i −0.455994 + 0.263268i
\(408\) −1.64883 + 6.15352i −0.0816293 + 0.304645i
\(409\) 19.7210 19.7210i 0.975139 0.975139i −0.0245594 0.999698i \(-0.507818\pi\)
0.999698 + 0.0245594i \(0.00781828\pi\)
\(410\) 15.4787 15.4787i 0.764436 0.764436i
\(411\) −0.0755407 + 0.281922i −0.00372615 + 0.0139062i
\(412\) 15.4024 8.89257i 0.758821 0.438106i
\(413\) 3.39460 + 5.53698i 0.167037 + 0.272457i
\(414\) −1.68510 6.28888i −0.0828181 0.309082i
\(415\) −0.843638 + 0.487074i −0.0414125 + 0.0239095i
\(416\) −3.56610 + 0.531892i −0.174843 + 0.0260782i
\(417\) −4.38283 + 7.59129i −0.214628 + 0.371747i
\(418\) 15.1549 15.1549i 0.741248 0.741248i
\(419\) 13.7060 + 7.91317i 0.669583 + 0.386584i 0.795919 0.605404i \(-0.206988\pi\)
−0.126336 + 0.991988i \(0.540322\pi\)
\(420\) −0.167251 6.33824i −0.00816099 0.309274i
\(421\) 13.1569 + 13.1569i 0.641228 + 0.641228i 0.950857 0.309629i \(-0.100205\pi\)
−0.309629 + 0.950857i \(0.600205\pi\)
\(422\) −23.0497 + 6.17615i −1.12204 + 0.300650i
\(423\) 5.86238 + 5.86238i 0.285039 + 0.285039i
\(424\) −2.41166 9.00043i −0.117120 0.437099i
\(425\) −4.09939 2.36679i −0.198850 0.114806i
\(426\) −0.319084 + 0.552669i −0.0154597 + 0.0267769i
\(427\) 14.4779 + 13.7335i 0.700636 + 0.664611i
\(428\) 13.3757i 0.646540i
\(429\) −4.44346 + 11.2707i −0.214532 + 0.544156i
\(430\) 17.6159 + 10.1706i 0.849516 + 0.490469i
\(431\) −1.50900 + 5.63168i −0.0726861 + 0.271268i −0.992699 0.120621i \(-0.961512\pi\)
0.920013 + 0.391889i \(0.128178\pi\)
\(432\) 1.00000i 0.0481125i
\(433\) −15.2205 26.3626i −0.731449 1.26691i −0.956264 0.292506i \(-0.905511\pi\)
0.224814 0.974402i \(-0.427822\pi\)
\(434\) −11.0206 + 11.6180i −0.529006 + 0.557681i
\(435\) 2.32589 8.68036i 0.111518 0.416191i
\(436\) 2.65649 + 9.91417i 0.127223 + 0.474803i
\(437\) −40.1133 + 10.7483i −1.91888 + 0.514162i
\(438\) −11.0751 −0.529190
\(439\) 0.406139 0.0193840 0.00969198 0.999953i \(-0.496915\pi\)
0.00969198 + 0.999953i \(0.496915\pi\)
\(440\) 7.77798 2.08410i 0.370801 0.0993557i
\(441\) 5.86916 3.81484i 0.279484 0.181659i
\(442\) −22.7182 + 3.38847i −1.08059 + 0.161173i
\(443\) −9.26476 16.0470i −0.440182 0.762418i 0.557521 0.830163i \(-0.311753\pi\)
−0.997703 + 0.0677454i \(0.978419\pi\)
\(444\) 3.05363 + 0.818218i 0.144919 + 0.0388309i
\(445\) 3.31060 + 5.73412i 0.156937 + 0.271824i
\(446\) 7.65836 13.2647i 0.362634 0.628101i
\(447\) −2.93611 + 2.93611i −0.138873 + 0.138873i
\(448\) −0.617120 + 2.57277i −0.0291562 + 0.121552i
\(449\) −3.33970 0.894870i −0.157610 0.0422315i 0.179151 0.983822i \(-0.442665\pi\)
−0.336761 + 0.941590i \(0.609332\pi\)
\(450\) 0.717716 + 0.192312i 0.0338335 + 0.00906565i
\(451\) 30.6923i 1.44524i
\(452\) −10.5455 + 6.08846i −0.496020 + 0.286377i
\(453\) 9.17136 + 9.17136i 0.430908 + 0.430908i
\(454\) −10.3928 −0.487758
\(455\) 20.7198 9.65951i 0.971359 0.452845i
\(456\) −6.37844 −0.298698
\(457\) 1.91462 + 1.91462i 0.0895620 + 0.0895620i 0.750468 0.660906i \(-0.229828\pi\)
−0.660906 + 0.750468i \(0.729828\pi\)
\(458\) −13.3562 + 7.71119i −0.624093 + 0.360320i
\(459\) 6.37060i 0.297354i
\(460\) −15.0711 4.03828i −0.702692 0.188286i
\(461\) −5.81853 1.55907i −0.270996 0.0726132i 0.120762 0.992682i \(-0.461466\pi\)
−0.391758 + 0.920068i \(0.628133\pi\)
\(462\) 6.44980 + 6.11817i 0.300072 + 0.284643i
\(463\) 7.99091 7.99091i 0.371369 0.371369i −0.496607 0.867976i \(-0.665421\pi\)
0.867976 + 0.496607i \(0.165421\pi\)
\(464\) −1.87496 + 3.24753i −0.0870430 + 0.150763i
\(465\) −7.25232 12.5614i −0.336318 0.582520i
\(466\) 3.44513 + 0.923120i 0.159593 + 0.0427627i
\(467\) 6.03438 + 10.4519i 0.279238 + 0.483654i 0.971196 0.238284i \(-0.0765848\pi\)
−0.691958 + 0.721938i \(0.743251\pi\)
\(468\) 3.30693 1.43674i 0.152863 0.0664135i
\(469\) −9.42428 + 17.3657i −0.435173 + 0.801873i
\(470\) 19.1913 5.14228i 0.885227 0.237196i
\(471\) 9.04224 0.416644
\(472\) 2.45477 0.112990
\(473\) −27.5487 + 7.38164i −1.26669 + 0.339408i
\(474\) 1.42707 + 5.32588i 0.0655473 + 0.244626i
\(475\) 1.22665 4.57791i 0.0562825 0.210049i
\(476\) −3.93142 + 16.3901i −0.180196 + 0.751239i
\(477\) 4.65896 + 8.06956i 0.213319 + 0.369480i
\(478\) 19.6015i 0.896550i
\(479\) −0.0759633 + 0.283499i −0.00347085 + 0.0129534i −0.967640 0.252337i \(-0.918801\pi\)
0.964169 + 0.265290i \(0.0854677\pi\)
\(480\) −2.07540 1.19823i −0.0947285 0.0546915i
\(481\) 1.68150 + 11.2737i 0.0766698 + 0.514037i
\(482\) 27.7501i 1.26398i
\(483\) −4.89571 16.5154i −0.222762 0.751477i
\(484\) −0.145136 + 0.251383i −0.00659708 + 0.0114265i
\(485\) 7.64843 + 4.41583i 0.347298 + 0.200512i
\(486\) 0.258819 + 0.965926i 0.0117403 + 0.0438153i
\(487\) 0.783166 + 0.783166i 0.0354886 + 0.0354886i 0.724628 0.689140i \(-0.242011\pi\)
−0.689140 + 0.724628i \(0.742011\pi\)
\(488\) 7.28545 1.95213i 0.329797 0.0883687i
\(489\) −7.06636 7.06636i −0.319552 0.319552i
\(490\) −0.884699 16.7519i −0.0399666 0.756774i
\(491\) −7.42479 4.28670i −0.335076 0.193456i 0.323017 0.946393i \(-0.395303\pi\)
−0.658092 + 0.752937i \(0.728636\pi\)
\(492\) 6.45896 6.45896i 0.291192 0.291192i
\(493\) −11.9446 + 20.6887i −0.537960 + 0.931773i
\(494\) −9.16419 21.0930i −0.412316 0.949021i
\(495\) −6.97354 + 4.02618i −0.313437 + 0.180963i
\(496\) 1.56651 + 5.84629i 0.0703383 + 0.262506i
\(497\) −0.805352 + 1.48399i −0.0361250 + 0.0665659i
\(498\) −0.352035 + 0.203247i −0.0157750 + 0.00910773i
\(499\) 3.23373 12.0684i 0.144762 0.540258i −0.855004 0.518621i \(-0.826446\pi\)
0.999766 0.0216369i \(-0.00688777\pi\)
\(500\) −7.21366 + 7.21366i −0.322605 + 0.322605i
\(501\) −6.85001 + 6.85001i −0.306036 + 0.306036i
\(502\) 5.33583 19.9136i 0.238150 0.888787i
\(503\) 9.79693 5.65626i 0.436823 0.252200i −0.265426 0.964131i \(-0.585513\pi\)
0.702249 + 0.711931i \(0.252179\pi\)
\(504\) −0.0697906 2.64483i −0.00310872 0.117810i
\(505\) 3.00533 + 11.2161i 0.133736 + 0.499108i
\(506\) 18.9458 10.9383i 0.842242 0.486269i
\(507\) 9.50241 + 8.87153i 0.422017 + 0.393999i
\(508\) −1.94179 + 3.36327i −0.0861528 + 0.149221i
\(509\) 4.69237 4.69237i 0.207986 0.207986i −0.595425 0.803411i \(-0.703016\pi\)
0.803411 + 0.595425i \(0.203016\pi\)
\(510\) −13.2215 7.63345i −0.585459 0.338015i
\(511\) −29.2919 + 0.772940i −1.29580 + 0.0341929i
\(512\) 0.707107 + 0.707107i 0.0312500 + 0.0312500i
\(513\) 6.16110 1.65086i 0.272019 0.0728874i
\(514\) 16.2688 + 16.2688i 0.717586 + 0.717586i
\(515\) 11.0312 + 41.1691i 0.486095 + 1.81413i
\(516\) 7.35081 + 4.24399i 0.323601 + 0.186831i
\(517\) −13.9287 + 24.1253i −0.612585 + 1.06103i
\(518\) 8.13345 + 1.95093i 0.357363 + 0.0857191i
\(519\) 8.79475i 0.386047i
\(520\) 0.980649 8.58474i 0.0430043 0.376466i
\(521\) −6.78078 3.91489i −0.297071 0.171514i 0.344055 0.938949i \(-0.388199\pi\)
−0.641127 + 0.767435i \(0.721533\pi\)
\(522\) 0.970553 3.62215i 0.0424800 0.158537i
\(523\) 17.8376i 0.779984i 0.920818 + 0.389992i \(0.127522\pi\)
−0.920818 + 0.389992i \(0.872478\pi\)
\(524\) −8.43733 14.6139i −0.368587 0.638411i
\(525\) 1.91166 + 0.458542i 0.0834317 + 0.0200124i
\(526\) 2.80620 10.4729i 0.122356 0.456640i
\(527\) 9.97959 + 37.2443i 0.434718 + 1.62239i
\(528\) 3.24561 0.869658i 0.141247 0.0378470i
\(529\) −19.3896 −0.843024
\(530\) 22.3301 0.969956
\(531\) −2.37113 + 0.635342i −0.102898 + 0.0275715i
\(532\) −16.8699 + 0.445155i −0.731403 + 0.0192999i
\(533\) 30.6392 + 12.0794i 1.32713 + 0.523218i
\(534\) 1.38145 + 2.39274i 0.0597813 + 0.103544i
\(535\) 30.9622 + 8.29629i 1.33861 + 0.358680i
\(536\) 3.73394 + 6.46737i 0.161282 + 0.279348i
\(537\) −6.59322 + 11.4198i −0.284518 + 0.492800i
\(538\) −15.1468 + 15.1468i −0.653027 + 0.653027i
\(539\) 17.4856 + 15.7314i 0.753159 + 0.677598i
\(540\) 2.31481 + 0.620250i 0.0996134 + 0.0266913i
\(541\) 9.30908 + 2.49436i 0.400229 + 0.107241i 0.453318 0.891349i \(-0.350240\pi\)
−0.0530895 + 0.998590i \(0.516907\pi\)
\(542\) 32.8294i 1.41014i
\(543\) 1.33067 0.768263i 0.0571046 0.0329693i
\(544\) 4.50469 + 4.50469i 0.193137 + 0.193137i
\(545\) −24.5971 −1.05362
\(546\) 8.64599 4.03074i 0.370014 0.172500i
\(547\) −1.49793 −0.0640470 −0.0320235 0.999487i \(-0.510195\pi\)
−0.0320235 + 0.999487i \(0.510195\pi\)
\(548\) 0.206381 + 0.206381i 0.00881616 + 0.00881616i
\(549\) −6.53195 + 3.77122i −0.278777 + 0.160952i
\(550\) 2.49667i 0.106458i
\(551\) −23.1037 6.19062i −0.984251 0.263729i
\(552\) −6.28888 1.68510i −0.267672 0.0717226i
\(553\) 4.14604 + 13.9865i 0.176308 + 0.594764i
\(554\) −12.6663 + 12.6663i −0.538140 + 0.538140i
\(555\) −3.78803 + 6.56107i −0.160793 + 0.278502i
\(556\) 4.38283 + 7.59129i 0.185873 + 0.321942i
\(557\) 15.4723 + 4.14579i 0.655583 + 0.175663i 0.571252 0.820775i \(-0.306458\pi\)
0.0843310 + 0.996438i \(0.473125\pi\)
\(558\) −3.02626 5.24164i −0.128112 0.221896i
\(559\) −3.47334 + 30.4061i −0.146907 + 1.28604i
\(560\) −5.57270 3.02428i −0.235490 0.127799i
\(561\) 20.6765 5.54024i 0.872960 0.233909i
\(562\) −10.6057 −0.447376
\(563\) 15.5033 0.653385 0.326692 0.945131i \(-0.394066\pi\)
0.326692 + 0.945131i \(0.394066\pi\)
\(564\) 8.00816 2.14578i 0.337204 0.0903537i
\(565\) −7.55274 28.1872i −0.317746 1.18585i
\(566\) 5.62615 20.9971i 0.236485 0.882573i
\(567\) 0.751945 + 2.53665i 0.0315787 + 0.106529i
\(568\) 0.319084 + 0.552669i 0.0133885 + 0.0231895i
\(569\) 35.1935i 1.47539i 0.675136 + 0.737694i \(0.264085\pi\)
−0.675136 + 0.737694i \(0.735915\pi\)
\(570\) 3.95623 14.7649i 0.165708 0.618432i
\(571\) −0.873557 0.504348i −0.0365572 0.0211063i 0.481610 0.876386i \(-0.340052\pi\)
−0.518167 + 0.855279i \(0.673386\pi\)
\(572\) 7.53900 + 9.48351i 0.315221 + 0.396526i
\(573\) 27.2183i 1.13706i
\(574\) 16.6321 17.5336i 0.694209 0.731839i
\(575\) 2.41885 4.18957i 0.100873 0.174717i
\(576\) −0.866025 0.500000i −0.0360844 0.0208333i
\(577\) 6.65759 + 24.8465i 0.277159 + 1.03437i 0.954381 + 0.298592i \(0.0965171\pi\)
−0.677222 + 0.735779i \(0.736816\pi\)
\(578\) 16.6767 + 16.6767i 0.693661 + 0.693661i
\(579\) 2.07410 0.555754i 0.0861967 0.0230963i
\(580\) −6.35446 6.35446i −0.263855 0.263855i
\(581\) −0.916887 + 0.562123i −0.0380389 + 0.0233208i
\(582\) 3.19155 + 1.84264i 0.132294 + 0.0763800i
\(583\) −22.1389 + 22.1389i −0.916901 + 0.916901i
\(584\) −5.53757 + 9.59135i −0.229146 + 0.396893i
\(585\) 1.27466 + 8.54603i 0.0527007 + 0.353335i
\(586\) 1.50584 0.869398i 0.0622058 0.0359145i
\(587\) 3.90487 + 14.5732i 0.161171 + 0.601499i 0.998498 + 0.0547955i \(0.0174507\pi\)
−0.837327 + 0.546703i \(0.815883\pi\)
\(588\) −0.369168 6.99026i −0.0152243 0.288273i
\(589\) −33.4335 + 19.3028i −1.37760 + 0.795359i
\(590\) −1.52257 + 5.68232i −0.0626834 + 0.233938i
\(591\) −15.5237 + 15.5237i −0.638560 + 0.638560i
\(592\) 2.23541 2.23541i 0.0918750 0.0918750i
\(593\) 7.61104 28.4048i 0.312548 1.16644i −0.613703 0.789537i \(-0.710321\pi\)
0.926251 0.376908i \(-0.123013\pi\)
\(594\) −2.90993 + 1.68005i −0.119396 + 0.0689333i
\(595\) −35.5014 19.2664i −1.45542 0.789847i
\(596\) 1.07469 + 4.01080i 0.0440210 + 0.164289i
\(597\) −21.6834 + 12.5189i −0.887443 + 0.512366i
\(598\) −3.46300 23.2179i −0.141613 0.949451i
\(599\) 12.3677 21.4216i 0.505332 0.875261i −0.494649 0.869093i \(-0.664703\pi\)
0.999981 0.00616822i \(-0.00196342\pi\)
\(600\) 0.525405 0.525405i 0.0214496 0.0214496i
\(601\) 7.62030 + 4.39958i 0.310838 + 0.179463i 0.647302 0.762234i \(-0.275897\pi\)
−0.336463 + 0.941697i \(0.609231\pi\)
\(602\) 19.7378 + 10.7116i 0.804454 + 0.436573i
\(603\) −5.28059 5.28059i −0.215042 0.215042i
\(604\) 12.5283 3.35695i 0.509769 0.136592i
\(605\) −0.491881 0.491881i −0.0199978 0.0199978i
\(606\) 1.25407 + 4.68026i 0.0509432 + 0.190122i
\(607\) 19.6033 + 11.3180i 0.795673 + 0.459382i 0.841956 0.539547i \(-0.181404\pi\)
−0.0462832 + 0.998928i \(0.514738\pi\)
\(608\) −3.18922 + 5.52389i −0.129340 + 0.224023i
\(609\) 2.31416 9.64772i 0.0937744 0.390945i
\(610\) 18.0752i 0.731843i
\(611\) 18.6016 + 23.3995i 0.752541 + 0.946641i
\(612\) −5.51710 3.18530i −0.223015 0.128758i
\(613\) 9.13560 34.0945i 0.368983 1.37707i −0.492956 0.870054i \(-0.664084\pi\)
0.861940 0.507011i \(-0.169250\pi\)
\(614\) 14.9011i 0.601358i
\(615\) 10.9451 + 18.9574i 0.441347 + 0.764436i
\(616\) 8.52339 2.52661i 0.343417 0.101800i
\(617\) 9.32719 34.8095i 0.375498 1.40138i −0.477117 0.878840i \(-0.658318\pi\)
0.852615 0.522539i \(-0.175015\pi\)
\(618\) 4.60313 + 17.1791i 0.185165 + 0.691046i
\(619\) 18.5078 4.95915i 0.743892 0.199325i 0.133085 0.991105i \(-0.457512\pi\)
0.610807 + 0.791779i \(0.290845\pi\)
\(620\) −14.5046 −0.582520
\(621\) 6.51073 0.261266
\(622\) 0.0807678 0.0216417i 0.00323849 0.000867752i
\(623\) 3.82070 + 6.23199i 0.153073 + 0.249680i
\(624\) 0.409207 3.58225i 0.0163814 0.143405i
\(625\) −14.0815 24.3899i −0.563261 0.975597i
\(626\) −24.2660 6.50206i −0.969866 0.259875i
\(627\) 10.7161 + 18.5608i 0.427960 + 0.741248i
\(628\) 4.52112 7.83081i 0.180412 0.312483i
\(629\) 14.2409 14.2409i 0.567823 0.567823i
\(630\) 6.16556 + 1.47891i 0.245642 + 0.0589210i
\(631\) −22.0223 5.90086i −0.876694 0.234910i −0.207714 0.978190i \(-0.566602\pi\)
−0.668980 + 0.743280i \(0.733269\pi\)
\(632\) 5.32588 + 1.42707i 0.211852 + 0.0567656i
\(633\) 23.8628i 0.948462i
\(634\) 17.3214 10.0005i 0.687920 0.397171i
\(635\) −6.58093 6.58093i −0.261156 0.261156i
\(636\) 9.31793 0.369480
\(637\) 22.5859 11.2640i 0.894885 0.446297i
\(638\) 12.6001 0.498844
\(639\) −0.451253 0.451253i −0.0178513 0.0178513i
\(640\) −2.07540 + 1.19823i −0.0820373 + 0.0473643i
\(641\) 10.0458i 0.396786i 0.980123 + 0.198393i \(0.0635723\pi\)
−0.980123 + 0.198393i \(0.936428\pi\)
\(642\) 12.9199 + 3.46189i 0.509910 + 0.136630i
\(643\) 19.2831 + 5.16690i 0.760452 + 0.203763i 0.618149 0.786061i \(-0.287883\pi\)
0.142303 + 0.989823i \(0.454549\pi\)
\(644\) −16.7506 4.01790i −0.660067 0.158327i
\(645\) −14.3834 + 14.3834i −0.566344 + 0.566344i
\(646\) −20.3172 + 35.1905i −0.799371 + 1.38455i
\(647\) 2.96052 + 5.12778i 0.116390 + 0.201594i 0.918335 0.395805i \(-0.129534\pi\)
−0.801944 + 0.597399i \(0.796201\pi\)
\(648\) 0.965926 + 0.258819i 0.0379452 + 0.0101674i
\(649\) −4.12414 7.14323i −0.161887 0.280396i
\(650\) 2.49235 + 0.982603i 0.0977579 + 0.0385409i
\(651\) −8.36976 13.6520i −0.328037 0.535066i
\(652\) −9.65282 + 2.58647i −0.378034 + 0.101294i
\(653\) −21.2347 −0.830979 −0.415490 0.909598i \(-0.636390\pi\)
−0.415490 + 0.909598i \(0.636390\pi\)
\(654\) −10.2639 −0.401351
\(655\) 39.0616 10.4665i 1.52626 0.408961i
\(656\) −2.36414 8.82310i −0.0923043 0.344484i
\(657\) 2.86646 10.6978i 0.111831 0.417359i
\(658\) 21.0305 6.23412i 0.819853 0.243031i
\(659\) −18.8111 32.5818i −0.732776 1.26920i −0.955692 0.294367i \(-0.904891\pi\)
0.222917 0.974838i \(-0.428442\pi\)
\(660\) 8.05236i 0.313437i
\(661\) −6.36003 + 23.7360i −0.247377 + 0.923222i 0.724797 + 0.688962i \(0.241933\pi\)
−0.972174 + 0.234260i \(0.924733\pi\)
\(662\) −9.89383 5.71220i −0.384534 0.222011i
\(663\) 2.60689 22.8211i 0.101243 0.886298i
\(664\) 0.406494i 0.0157750i
\(665\) 9.43311 39.3266i 0.365800 1.52502i
\(666\) −1.58068 + 2.73781i −0.0612500 + 0.106088i
\(667\) −21.1438 12.2074i −0.818691 0.472672i
\(668\) 2.50728 + 9.35729i 0.0970095 + 0.362044i
\(669\) 10.8306 + 10.8306i 0.418734 + 0.418734i
\(670\) −17.2867 + 4.63195i −0.667843 + 0.178948i
\(671\) −17.9205 17.9205i −0.691812 0.691812i
\(672\) −2.32539 1.26197i −0.0897037 0.0486817i
\(673\) −19.5012 11.2590i −0.751715 0.434003i 0.0745983 0.997214i \(-0.476233\pi\)
−0.826313 + 0.563211i \(0.809566\pi\)
\(674\) 0.420327 0.420327i 0.0161904 0.0161904i
\(675\) −0.371517 + 0.643487i −0.0142997 + 0.0247678i
\(676\) 12.4342 3.79356i 0.478238 0.145906i
\(677\) −32.8385 + 18.9593i −1.26209 + 0.728666i −0.973478 0.228781i \(-0.926526\pi\)
−0.288609 + 0.957447i \(0.593193\pi\)
\(678\) −3.15162 11.7620i −0.121037 0.451717i
\(679\) 8.56971 + 4.65074i 0.328875 + 0.178479i
\(680\) −13.2215 + 7.63345i −0.507022 + 0.292729i
\(681\) 2.68985 10.0387i 0.103075 0.384683i
\(682\) 14.3805 14.3805i 0.550657 0.550657i
\(683\) 8.92222 8.92222i 0.341399 0.341399i −0.515494 0.856893i \(-0.672391\pi\)
0.856893 + 0.515494i \(0.172391\pi\)
\(684\) 1.65086 6.16110i 0.0631223 0.235576i
\(685\) −0.605740 + 0.349724i −0.0231441 + 0.0133623i
\(686\) −1.46424 18.4623i −0.0559050 0.704893i
\(687\) −3.99160 14.8969i −0.152289 0.568351i
\(688\) 7.35081 4.24399i 0.280247 0.161801i
\(689\) 13.3875 + 30.8137i 0.510022 + 1.17391i
\(690\) 7.80136 13.5123i 0.296993 0.514406i
\(691\) −3.22936 + 3.22936i −0.122851 + 0.122851i −0.765859 0.643008i \(-0.777686\pi\)
0.643008 + 0.765859i \(0.277686\pi\)
\(692\) −7.61648 4.39738i −0.289535 0.167163i
\(693\) −7.57903 + 4.64653i −0.287903 + 0.176507i
\(694\) −19.1686 19.1686i −0.727629 0.727629i
\(695\) −20.2908 + 5.43690i −0.769674 + 0.206234i
\(696\) −2.65160 2.65160i −0.100509 0.100509i
\(697\) −15.0610 56.2084i −0.570476 2.12905i
\(698\) −3.48998 2.01494i −0.132098 0.0762667i
\(699\) −1.78333 + 3.08882i −0.0674518 + 0.116830i
\(700\) 1.35294 1.42628i 0.0511363 0.0539081i
\(701\) 35.0204i 1.32270i −0.750077 0.661350i \(-0.769984\pi\)
0.750077 0.661350i \(-0.230016\pi\)
\(702\) 0.531892 + 3.56610i 0.0200750 + 0.134594i
\(703\) 17.4630 + 10.0823i 0.658629 + 0.380260i
\(704\) 0.869658 3.24561i 0.0327765 0.122323i
\(705\) 19.8683i 0.748282i
\(706\) −9.45936 16.3841i −0.356008 0.616624i
\(707\) 3.64344 + 12.2910i 0.137026 + 0.462249i
\(708\) −0.635342 + 2.37113i −0.0238776 + 0.0891125i
\(709\) −12.7524 47.5926i −0.478926 1.78738i −0.605979 0.795481i \(-0.707218\pi\)
0.127052 0.991896i \(-0.459448\pi\)
\(710\) −1.47723 + 0.395824i −0.0554396 + 0.0148550i
\(711\) −5.51376 −0.206782
\(712\) 2.76290 0.103544
\(713\) −38.0636 + 10.1991i −1.42549 + 0.381959i
\(714\) −14.8141 8.03953i −0.554403 0.300872i
\(715\) −26.6286 + 11.5692i −0.995851 + 0.432662i
\(716\) 6.59322 + 11.4198i 0.246400 + 0.426777i
\(717\) 18.9336 + 5.07323i 0.707087 + 0.189463i
\(718\) 3.73372 + 6.46699i 0.139341 + 0.241346i
\(719\) 16.0766 27.8454i 0.599554 1.03846i −0.393333 0.919396i \(-0.628678\pi\)
0.992887 0.119062i \(-0.0379888\pi\)
\(720\) 1.69456 1.69456i 0.0631523 0.0631523i
\(721\) 13.3735 + 45.1146i 0.498053 + 1.68016i
\(722\) −20.9457 5.61237i −0.779517 0.208871i
\(723\) −26.8046 7.18226i −0.996872 0.267111i
\(724\) 1.53653i 0.0571046i
\(725\) 2.41303 1.39316i 0.0896177 0.0517408i
\(726\) −0.205253 0.205253i −0.00761766 0.00761766i
\(727\) −19.7580 −0.732783 −0.366392 0.930461i \(-0.619407\pi\)
−0.366392 + 0.930461i \(0.619407\pi\)
\(728\) 0.832275 9.50302i 0.0308462 0.352205i
\(729\) −1.00000 −0.0370370
\(730\) −18.7674 18.7674i −0.694614 0.694614i
\(731\) 46.8290 27.0368i 1.73203 0.999991i
\(732\) 7.54245i 0.278777i
\(733\) −0.868590 0.232738i −0.0320821 0.00859637i 0.242742 0.970091i \(-0.421953\pi\)
−0.274824 + 0.961494i \(0.588620\pi\)
\(734\) 35.2033 + 9.43268i 1.29938 + 0.348167i
\(735\) 16.4101 + 3.48116i 0.605294 + 0.128404i
\(736\) −4.60378 + 4.60378i −0.169698 + 0.169698i
\(737\) 12.5464 21.7310i 0.462153 0.800472i
\(738\) 4.56717 + 7.91058i 0.168120 + 0.291192i
\(739\) 8.73543 + 2.34065i 0.321338 + 0.0861023i 0.415882 0.909418i \(-0.363473\pi\)
−0.0945444 + 0.995521i \(0.530139\pi\)
\(740\) 3.78803 + 6.56107i 0.139251 + 0.241190i
\(741\) 22.7462 3.39264i 0.835602 0.124632i
\(742\) 24.6443 0.650303i 0.904722 0.0238734i
\(743\) −10.6974 + 2.86636i −0.392450 + 0.105157i −0.449647 0.893206i \(-0.648450\pi\)
0.0571974 + 0.998363i \(0.481784\pi\)
\(744\) −6.05252 −0.221896
\(745\) −9.95079 −0.364569
\(746\) 12.2892 3.29288i 0.449940 0.120561i
\(747\) −0.105209 0.392643i −0.00384938 0.0143661i
\(748\) 5.54024 20.6765i 0.202571 0.756006i
\(749\) 34.4127 + 8.25442i 1.25741 + 0.301610i
\(750\) −5.10083 8.83490i −0.186256 0.322605i
\(751\) 4.91530i 0.179362i 0.995971 + 0.0896810i \(0.0285848\pi\)
−0.995971 + 0.0896810i \(0.971415\pi\)
\(752\) 2.14578 8.00816i 0.0782486 0.292028i
\(753\) 17.8540 + 10.3080i 0.650637 + 0.375645i
\(754\) 4.95898 12.5783i 0.180595 0.458075i
\(755\) 31.0827i 1.13122i
\(756\) 2.57277 + 0.617120i 0.0935709 + 0.0224444i
\(757\) −13.0641 + 22.6277i −0.474822 + 0.822416i −0.999584 0.0288326i \(-0.990821\pi\)
0.524762 + 0.851249i \(0.324154\pi\)
\(758\) −4.77248 2.75540i −0.173344 0.100080i
\(759\) 5.66210 + 21.1313i 0.205521 + 0.767016i
\(760\) −10.8086 10.8086i −0.392070 0.392070i
\(761\) −12.0319 + 3.22395i −0.436158 + 0.116868i −0.470215 0.882552i \(-0.655824\pi\)
0.0340575 + 0.999420i \(0.489157\pi\)
\(762\) −2.74610 2.74610i −0.0994807 0.0994807i
\(763\) −27.1463 + 0.716324i −0.982762 + 0.0259327i
\(764\) 23.5717 + 13.6091i 0.852794 + 0.492361i
\(765\) 10.7953 10.7953i 0.390306 0.390306i
\(766\) 3.35411 5.80950i 0.121189 0.209906i
\(767\) −8.75398 + 1.30568i −0.316088 + 0.0471452i
\(768\) −0.866025 + 0.500000i −0.0312500 + 0.0180422i
\(769\) 9.34074 + 34.8601i 0.336836 + 1.25709i 0.901865 + 0.432017i \(0.142198\pi\)
−0.565030 + 0.825070i \(0.691135\pi\)
\(770\) 0.561978 + 21.2971i 0.0202523 + 0.767495i
\(771\) −19.9251 + 11.5038i −0.717586 + 0.414298i
\(772\) 0.555754 2.07410i 0.0200020 0.0746485i
\(773\) 18.1883 18.1883i 0.654186 0.654186i −0.299812 0.953998i \(-0.596924\pi\)
0.953998 + 0.299812i \(0.0969239\pi\)
\(774\) −6.00191 + 6.00191i −0.215734 + 0.215734i