Properties

Label 135.2.q.a.32.2
Level $135$
Weight $2$
Character 135.32
Analytic conductor $1.078$
Analytic rank $0$
Dimension $192$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 135 = 3^{3} \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 135.q (of order \(36\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.07798042729\)
Analytic rank: \(0\)
Dimension: \(192\)
Relative dimension: \(16\) over \(\Q(\zeta_{36})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label 32.2
Character \(\chi\) \(=\) 135.32
Dual form 135.2.q.a.38.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.182563 + 2.08671i) q^{2} +(1.65611 + 0.507262i) q^{3} +(-2.35140 - 0.414615i) q^{4} +(0.856273 - 2.06562i) q^{5} +(-1.36085 + 3.36320i) q^{6} +(-2.36759 + 3.38127i) q^{7} +(0.210175 - 0.784385i) q^{8} +(2.48537 + 1.68016i) q^{9} +O(q^{10})\) \(q+(-0.182563 + 2.08671i) q^{2} +(1.65611 + 0.507262i) q^{3} +(-2.35140 - 0.414615i) q^{4} +(0.856273 - 2.06562i) q^{5} +(-1.36085 + 3.36320i) q^{6} +(-2.36759 + 3.38127i) q^{7} +(0.210175 - 0.784385i) q^{8} +(2.48537 + 1.68016i) q^{9} +(4.15403 + 2.16390i) q^{10} +(1.66957 - 4.58710i) q^{11} +(-3.68385 - 1.87942i) q^{12} +(-2.55204 + 0.223275i) q^{13} +(-6.62348 - 5.55776i) q^{14} +(2.46589 - 2.98653i) q^{15} +(-2.88895 - 1.05149i) q^{16} +(-0.632683 - 2.36120i) q^{17} +(-3.95974 + 4.87950i) q^{18} +(4.05431 - 2.34076i) q^{19} +(-2.86988 + 4.50208i) q^{20} +(-5.63616 + 4.39875i) q^{21} +(9.26714 + 4.32134i) q^{22} +(3.04827 - 2.13442i) q^{23} +(0.745961 - 1.19241i) q^{24} +(-3.53359 - 3.53747i) q^{25} -5.36612i q^{26} +(3.26375 + 4.04325i) q^{27} +(6.96907 - 6.96907i) q^{28} +(-2.44490 + 2.05152i) q^{29} +(5.78184 + 5.69082i) q^{30} +(-0.272295 + 1.54426i) q^{31} +(3.40795 - 7.30837i) q^{32} +(5.09185 - 6.74982i) q^{33} +(5.04264 - 0.889154i) q^{34} +(4.95712 + 7.78583i) q^{35} +(-5.14748 - 4.98120i) q^{36} +(-2.21287 + 0.592937i) q^{37} +(4.14431 + 8.88750i) q^{38} +(-4.33971 - 0.924787i) q^{39} +(-1.44028 - 1.10579i) q^{40} +(-4.38733 + 5.22862i) q^{41} +(-8.14994 - 12.5641i) q^{42} +(1.18601 - 0.553045i) q^{43} +(-5.82771 + 10.0939i) q^{44} +(5.59873 - 3.69516i) q^{45} +(3.89741 + 6.75051i) q^{46} +(-0.314631 - 0.220307i) q^{47} +(-4.25102 - 3.20684i) q^{48} +(-3.43334 - 9.43304i) q^{49} +(8.02678 - 6.72776i) q^{50} +(0.149960 - 4.23134i) q^{51} +(6.09344 + 0.533107i) q^{52} +(-0.177802 - 0.177802i) q^{53} +(-9.03293 + 6.07235i) q^{54} +(-8.04562 - 7.37651i) q^{55} +(2.15461 + 2.56776i) q^{56} +(7.90174 - 1.81994i) q^{57} +(-3.83457 - 5.47633i) q^{58} +(0.797126 - 0.290130i) q^{59} +(-7.03656 + 6.00014i) q^{60} +(1.38646 + 7.86300i) q^{61} +(-3.17272 - 0.850126i) q^{62} +(-11.5654 + 4.42577i) q^{63} +(9.30332 + 5.37128i) q^{64} +(-1.72404 + 5.46274i) q^{65} +(13.1553 + 11.8575i) q^{66} +(0.708580 + 8.09911i) q^{67} +(0.508699 + 5.81446i) q^{68} +(6.13097 - 1.98856i) q^{69} +(-17.1517 + 8.92264i) q^{70} +(-7.83146 - 4.52149i) q^{71} +(1.84025 - 1.59636i) q^{72} +(-11.9138 - 3.19228i) q^{73} +(-0.833296 - 4.72586i) q^{74} +(-4.05758 - 7.65089i) q^{75} +(-10.5038 + 3.82308i) q^{76} +(11.5574 + 16.5056i) q^{77} +(2.72203 - 8.88686i) q^{78} +(6.94728 + 8.27944i) q^{79} +(-4.64572 + 5.06712i) q^{80} +(3.35413 + 8.35163i) q^{81} +(-10.1096 - 10.1096i) q^{82} +(-3.71573 - 0.325084i) q^{83} +(15.0767 - 8.00637i) q^{84} +(-5.41910 - 0.714951i) q^{85} +(0.937521 + 2.57582i) q^{86} +(-5.08968 + 2.15732i) q^{87} +(-3.24715 - 2.27368i) q^{88} +(-7.58469 - 13.1371i) q^{89} +(6.68860 + 12.3575i) q^{90} +(5.28723 - 9.15775i) q^{91} +(-8.05267 + 3.75502i) q^{92} +(-1.23430 + 2.41934i) q^{93} +(0.517156 - 0.616322i) q^{94} +(-1.36352 - 10.3790i) q^{95} +(9.35119 - 10.3747i) q^{96} +(-0.583050 - 1.25036i) q^{97} +(20.3108 - 5.44226i) q^{98} +(11.8566 - 8.59551i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 192 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 36 q^{6} - 12 q^{7} - 18 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 192 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 36 q^{6} - 12 q^{7} - 18 q^{8} - 6 q^{10} - 36 q^{11} - 12 q^{12} - 12 q^{13} - 12 q^{15} - 24 q^{16} - 18 q^{17} - 54 q^{18} + 36 q^{20} - 24 q^{21} - 12 q^{22} - 36 q^{23} - 30 q^{25} - 36 q^{27} - 24 q^{28} + 60 q^{30} - 24 q^{31} - 48 q^{32} - 6 q^{33} + 36 q^{35} + 12 q^{36} - 6 q^{37} + 12 q^{38} - 36 q^{40} + 24 q^{41} - 24 q^{42} - 12 q^{43} + 18 q^{45} - 12 q^{46} - 6 q^{47} + 12 q^{48} + 36 q^{50} + 144 q^{51} + 12 q^{52} - 24 q^{55} + 180 q^{56} - 12 q^{57} - 12 q^{58} - 36 q^{60} - 60 q^{61} - 18 q^{62} - 54 q^{63} - 84 q^{65} + 72 q^{66} + 24 q^{67} - 60 q^{68} - 12 q^{70} - 36 q^{71} + 180 q^{72} - 6 q^{73} - 60 q^{75} - 72 q^{76} + 132 q^{77} + 78 q^{78} + 12 q^{81} - 24 q^{82} + 48 q^{83} - 12 q^{85} + 12 q^{86} + 144 q^{87} - 48 q^{88} + 48 q^{90} - 12 q^{91} + 258 q^{92} + 180 q^{93} + 18 q^{95} - 12 q^{96} + 24 q^{97} + 324 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/135\mathbb{Z}\right)^\times\).

\(n\) \(56\) \(82\)
\(\chi(n)\) \(e\left(\frac{5}{18}\right)\) \(e\left(\frac{1}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.182563 + 2.08671i −0.129092 + 1.47552i 0.604865 + 0.796328i \(0.293227\pi\)
−0.733956 + 0.679196i \(0.762328\pi\)
\(3\) 1.65611 + 0.507262i 0.956153 + 0.292868i
\(4\) −2.35140 0.414615i −1.17570 0.207308i
\(5\) 0.856273 2.06562i 0.382937 0.923774i
\(6\) −1.36085 + 3.36320i −0.555565 + 1.37302i
\(7\) −2.36759 + 3.38127i −0.894864 + 1.27800i 0.0651011 + 0.997879i \(0.479263\pi\)
−0.959965 + 0.280120i \(0.909626\pi\)
\(8\) 0.210175 0.784385i 0.0743082 0.277322i
\(9\) 2.48537 + 1.68016i 0.828457 + 0.560053i
\(10\) 4.15403 + 2.16390i 1.31362 + 0.684284i
\(11\) 1.66957 4.58710i 0.503394 1.38306i −0.384546 0.923106i \(-0.625642\pi\)
0.887940 0.459958i \(-0.152136\pi\)
\(12\) −3.68385 1.87942i −1.06344 0.542543i
\(13\) −2.55204 + 0.223275i −0.707809 + 0.0619252i −0.435375 0.900249i \(-0.643384\pi\)
−0.272434 + 0.962175i \(0.587829\pi\)
\(14\) −6.62348 5.55776i −1.77020 1.48537i
\(15\) 2.46589 2.98653i 0.636690 0.771120i
\(16\) −2.88895 1.05149i −0.722238 0.262873i
\(17\) −0.632683 2.36120i −0.153448 0.572676i −0.999233 0.0391524i \(-0.987534\pi\)
0.845785 0.533524i \(-0.179132\pi\)
\(18\) −3.95974 + 4.87950i −0.933319 + 1.15011i
\(19\) 4.05431 2.34076i 0.930123 0.537007i 0.0432724 0.999063i \(-0.486222\pi\)
0.886850 + 0.462057i \(0.152888\pi\)
\(20\) −2.86988 + 4.50208i −0.641725 + 1.00670i
\(21\) −5.63616 + 4.39875i −1.22991 + 0.959885i
\(22\) 9.26714 + 4.32134i 1.97576 + 0.921313i
\(23\) 3.04827 2.13442i 0.635608 0.445058i −0.210846 0.977519i \(-0.567622\pi\)
0.846454 + 0.532462i \(0.178733\pi\)
\(24\) 0.745961 1.19241i 0.152269 0.243400i
\(25\) −3.53359 3.53747i −0.706719 0.707495i
\(26\) 5.36612i 1.05238i
\(27\) 3.26375 + 4.04325i 0.628110 + 0.778125i
\(28\) 6.96907 6.96907i 1.31703 1.31703i
\(29\) −2.44490 + 2.05152i −0.454007 + 0.380957i −0.840920 0.541159i \(-0.817986\pi\)
0.386913 + 0.922116i \(0.373541\pi\)
\(30\) 5.78184 + 5.69082i 1.05561 + 1.03900i
\(31\) −0.272295 + 1.54426i −0.0489057 + 0.277358i −0.999447 0.0332389i \(-0.989418\pi\)
0.950542 + 0.310597i \(0.100529\pi\)
\(32\) 3.40795 7.30837i 0.602446 1.29195i
\(33\) 5.09185 6.74982i 0.886377 1.17499i
\(34\) 5.04264 0.889154i 0.864806 0.152489i
\(35\) 4.95712 + 7.78583i 0.837906 + 1.31605i
\(36\) −5.14748 4.98120i −0.857914 0.830200i
\(37\) −2.21287 + 0.592937i −0.363793 + 0.0974782i −0.436085 0.899905i \(-0.643635\pi\)
0.0722918 + 0.997384i \(0.476969\pi\)
\(38\) 4.14431 + 8.88750i 0.672295 + 1.44174i
\(39\) −4.33971 0.924787i −0.694909 0.148084i
\(40\) −1.44028 1.10579i −0.227728 0.174841i
\(41\) −4.38733 + 5.22862i −0.685186 + 0.816573i −0.990764 0.135594i \(-0.956706\pi\)
0.305579 + 0.952167i \(0.401150\pi\)
\(42\) −8.14994 12.5641i −1.25756 1.93868i
\(43\) 1.18601 0.553045i 0.180865 0.0843385i −0.330077 0.943954i \(-0.607075\pi\)
0.510941 + 0.859616i \(0.329297\pi\)
\(44\) −5.82771 + 10.0939i −0.878561 + 1.52171i
\(45\) 5.59873 3.69516i 0.834609 0.550842i
\(46\) 3.89741 + 6.75051i 0.574642 + 0.995309i
\(47\) −0.314631 0.220307i −0.0458936 0.0321351i 0.550405 0.834898i \(-0.314473\pi\)
−0.596298 + 0.802763i \(0.703362\pi\)
\(48\) −4.25102 3.20684i −0.613583 0.462867i
\(49\) −3.43334 9.43304i −0.490478 1.34758i
\(50\) 8.02678 6.72776i 1.13516 0.951449i
\(51\) 0.149960 4.23134i 0.0209986 0.592506i
\(52\) 6.09344 + 0.533107i 0.845009 + 0.0739287i
\(53\) −0.177802 0.177802i −0.0244229 0.0244229i 0.694790 0.719213i \(-0.255497\pi\)
−0.719213 + 0.694790i \(0.755497\pi\)
\(54\) −9.03293 + 6.07235i −1.22923 + 0.826342i
\(55\) −8.04562 7.37651i −1.08487 0.994649i
\(56\) 2.15461 + 2.56776i 0.287921 + 0.343131i
\(57\) 7.90174 1.81994i 1.04661 0.241057i
\(58\) −3.83457 5.47633i −0.503503 0.719077i
\(59\) 0.797126 0.290130i 0.103777 0.0377717i −0.289610 0.957145i \(-0.593526\pi\)
0.393387 + 0.919373i \(0.371303\pi\)
\(60\) −7.03656 + 6.00014i −0.908416 + 0.774615i
\(61\) 1.38646 + 7.86300i 0.177518 + 1.00675i 0.935197 + 0.354127i \(0.115222\pi\)
−0.757679 + 0.652627i \(0.773667\pi\)
\(62\) −3.17272 0.850126i −0.402935 0.107966i
\(63\) −11.5654 + 4.42577i −1.45710 + 0.557595i
\(64\) 9.30332 + 5.37128i 1.16292 + 0.671410i
\(65\) −1.72404 + 5.46274i −0.213841 + 0.677569i
\(66\) 13.1553 + 11.8575i 1.61931 + 1.45955i
\(67\) 0.708580 + 8.09911i 0.0865668 + 0.989463i 0.907948 + 0.419083i \(0.137649\pi\)
−0.821381 + 0.570380i \(0.806796\pi\)
\(68\) 0.508699 + 5.81446i 0.0616888 + 0.705106i
\(69\) 6.13097 1.98856i 0.738082 0.239394i
\(70\) −17.1517 + 8.92264i −2.05002 + 1.06646i
\(71\) −7.83146 4.52149i −0.929423 0.536603i −0.0427939 0.999084i \(-0.513626\pi\)
−0.886629 + 0.462481i \(0.846959\pi\)
\(72\) 1.84025 1.59636i 0.216876 0.188133i
\(73\) −11.9138 3.19228i −1.39440 0.373628i −0.518069 0.855339i \(-0.673349\pi\)
−0.876330 + 0.481710i \(0.840016\pi\)
\(74\) −0.833296 4.72586i −0.0968687 0.549370i
\(75\) −4.05758 7.65089i −0.468529 0.883448i
\(76\) −10.5038 + 3.82308i −1.20487 + 0.438537i
\(77\) 11.5574 + 16.5056i 1.31708 + 1.88099i
\(78\) 2.72203 8.88686i 0.308209 1.00624i
\(79\) 6.94728 + 8.27944i 0.781630 + 0.931510i 0.999006 0.0445777i \(-0.0141942\pi\)
−0.217376 + 0.976088i \(0.569750\pi\)
\(80\) −4.64572 + 5.06712i −0.519407 + 0.566521i
\(81\) 3.35413 + 8.35163i 0.372681 + 0.927959i
\(82\) −10.1096 10.1096i −1.11642 1.11642i
\(83\) −3.71573 0.325084i −0.407854 0.0356826i −0.118617 0.992940i \(-0.537846\pi\)
−0.289237 + 0.957257i \(0.593402\pi\)
\(84\) 15.0767 8.00637i 1.64500 0.873567i
\(85\) −5.41910 0.714951i −0.587784 0.0775474i
\(86\) 0.937521 + 2.57582i 0.101095 + 0.277758i
\(87\) −5.08968 + 2.15732i −0.545671 + 0.231289i
\(88\) −3.24715 2.27368i −0.346148 0.242375i
\(89\) −7.58469 13.1371i −0.803975 1.39253i −0.916981 0.398932i \(-0.869381\pi\)
0.113006 0.993594i \(-0.463952\pi\)
\(90\) 6.68860 + 12.3575i 0.705040 + 1.30260i
\(91\) 5.28723 9.15775i 0.554252 0.959993i
\(92\) −8.05267 + 3.75502i −0.839549 + 0.391488i
\(93\) −1.23430 + 2.41934i −0.127991 + 0.250874i
\(94\) 0.517156 0.616322i 0.0533406 0.0635688i
\(95\) −1.36352 10.3790i −0.139895 1.06486i
\(96\) 9.35119 10.3747i 0.954401 1.05886i
\(97\) −0.583050 1.25036i −0.0591998 0.126954i 0.874482 0.485058i \(-0.161201\pi\)
−0.933682 + 0.358103i \(0.883424\pi\)
\(98\) 20.3108 5.44226i 2.05170 0.549751i
\(99\) 11.8566 8.59551i 1.19163 0.863882i
\(100\) 6.84220 + 9.78310i 0.684220 + 0.978310i
\(101\) 0.515416 0.0908818i 0.0512858 0.00904308i −0.147946 0.988995i \(-0.547266\pi\)
0.199232 + 0.979952i \(0.436155\pi\)
\(102\) 8.80219 + 1.08541i 0.871546 + 0.107471i
\(103\) 1.46616 3.14419i 0.144465 0.309806i −0.820739 0.571303i \(-0.806438\pi\)
0.965204 + 0.261496i \(0.0842160\pi\)
\(104\) −0.361243 + 2.04871i −0.0354228 + 0.200892i
\(105\) 4.26005 + 15.4087i 0.415739 + 1.50374i
\(106\) 0.403480 0.338560i 0.0391894 0.0328838i
\(107\) 4.07064 4.07064i 0.393524 0.393524i −0.482418 0.875941i \(-0.660241\pi\)
0.875941 + 0.482418i \(0.160241\pi\)
\(108\) −5.99800 10.8605i −0.577158 1.04505i
\(109\) 10.3288i 0.989319i 0.869087 + 0.494660i \(0.164707\pi\)
−0.869087 + 0.494660i \(0.835293\pi\)
\(110\) 16.8615 15.4422i 1.60768 1.47235i
\(111\) −3.96552 0.140539i −0.376390 0.0133394i
\(112\) 10.3952 7.27881i 0.982256 0.687783i
\(113\) 4.95536 + 2.31072i 0.466161 + 0.217375i 0.641484 0.767136i \(-0.278319\pi\)
−0.175323 + 0.984511i \(0.556097\pi\)
\(114\) 2.35512 + 16.8209i 0.220577 + 1.57542i
\(115\) −1.79876 8.12422i −0.167735 0.757588i
\(116\) 6.59954 3.81025i 0.612752 0.353773i
\(117\) −6.71790 3.73291i −0.621070 0.345108i
\(118\) 0.459891 + 1.71634i 0.0423364 + 0.158001i
\(119\) 9.48179 + 3.45109i 0.869194 + 0.316361i
\(120\) −1.82432 2.56190i −0.166537 0.233869i
\(121\) −9.82758 8.24632i −0.893416 0.749665i
\(122\) −16.6609 + 1.45764i −1.50841 + 0.131968i
\(123\) −9.91816 + 6.43361i −0.894290 + 0.580099i
\(124\) 1.28055 3.51829i 0.114997 0.315951i
\(125\) −10.3328 + 4.27003i −0.924194 + 0.381923i
\(126\) −7.12388 24.9416i −0.634646 2.22197i
\(127\) −1.87145 + 6.98435i −0.166064 + 0.619760i 0.831838 + 0.555019i \(0.187289\pi\)
−0.997902 + 0.0647416i \(0.979378\pi\)
\(128\) −3.65620 + 5.22160i −0.323166 + 0.461528i
\(129\) 2.24469 0.314283i 0.197634 0.0276711i
\(130\) −11.0844 4.59487i −0.972165 0.402996i
\(131\) 7.48308 + 1.31947i 0.653800 + 0.115283i 0.490702 0.871327i \(-0.336740\pi\)
0.163098 + 0.986610i \(0.447851\pi\)
\(132\) −14.7716 + 13.7604i −1.28570 + 1.19769i
\(133\) −1.68421 + 19.2507i −0.146040 + 1.66924i
\(134\) −17.0298 −1.47115
\(135\) 11.1465 3.27956i 0.959338 0.282259i
\(136\) −1.98507 −0.170218
\(137\) −0.767656 + 8.77434i −0.0655852 + 0.749643i 0.890199 + 0.455573i \(0.150565\pi\)
−0.955784 + 0.294070i \(0.904990\pi\)
\(138\) 3.03024 + 13.1566i 0.257951 + 1.11996i
\(139\) −0.637180 0.112352i −0.0540449 0.00952958i 0.146560 0.989202i \(-0.453180\pi\)
−0.200605 + 0.979672i \(0.564291\pi\)
\(140\) −8.42805 20.3629i −0.712300 1.72098i
\(141\) −0.409308 0.524452i −0.0344700 0.0441668i
\(142\) 10.8648 15.5165i 0.911751 1.30212i
\(143\) −3.23662 + 12.0792i −0.270660 + 1.01012i
\(144\) −5.41344 7.46724i −0.451120 0.622270i
\(145\) 2.14416 + 6.80691i 0.178063 + 0.565283i
\(146\) 8.83637 24.2777i 0.731303 2.00924i
\(147\) −0.900959 17.3637i −0.0743099 1.43213i
\(148\) 5.44918 0.476742i 0.447920 0.0391879i
\(149\) 14.2896 + 11.9904i 1.17065 + 0.982290i 0.999995 0.00304137i \(-0.000968099\pi\)
0.170652 + 0.985331i \(0.445413\pi\)
\(150\) 16.7059 7.07020i 1.36403 0.577280i
\(151\) 11.1465 + 4.05701i 0.907092 + 0.330155i 0.753091 0.657916i \(-0.228562\pi\)
0.154001 + 0.988071i \(0.450784\pi\)
\(152\) −0.983939 3.67211i −0.0798080 0.297847i
\(153\) 2.39475 6.93147i 0.193604 0.560376i
\(154\) −36.5524 + 21.1035i −2.94547 + 1.70057i
\(155\) 2.95671 + 1.88477i 0.237488 + 0.151388i
\(156\) 9.82096 + 3.97385i 0.786306 + 0.318163i
\(157\) 0.863615 + 0.402710i 0.0689240 + 0.0321398i 0.456775 0.889582i \(-0.349005\pi\)
−0.387851 + 0.921722i \(0.626782\pi\)
\(158\) −18.5451 + 12.9854i −1.47537 + 1.03306i
\(159\) −0.204266 0.384650i −0.0161994 0.0305048i
\(160\) −12.1782 13.2975i −0.962772 1.05126i
\(161\) 15.3604i 1.21057i
\(162\) −18.0398 + 5.47439i −1.41734 + 0.430109i
\(163\) 12.1885 12.1885i 0.954673 0.954673i −0.0443429 0.999016i \(-0.514119\pi\)
0.999016 + 0.0443429i \(0.0141194\pi\)
\(164\) 12.4842 10.4755i 0.974855 0.818001i
\(165\) −9.58257 16.2975i −0.746002 1.26876i
\(166\) 1.35671 7.69429i 0.105301 0.597193i
\(167\) 2.14472 4.59936i 0.165963 0.355909i −0.805684 0.592346i \(-0.798202\pi\)
0.971647 + 0.236437i \(0.0759796\pi\)
\(168\) 2.26573 + 5.34543i 0.174805 + 0.412409i
\(169\) −6.33944 + 1.11781i −0.487649 + 0.0859858i
\(170\) 2.48122 11.1776i 0.190301 0.857280i
\(171\) 14.0093 + 0.994237i 1.07132 + 0.0760312i
\(172\) −3.01808 + 0.808693i −0.230127 + 0.0616622i
\(173\) 0.706530 + 1.51516i 0.0537164 + 0.115195i 0.931334 0.364166i \(-0.118646\pi\)
−0.877617 + 0.479362i \(0.840868\pi\)
\(174\) −3.57251 11.0145i −0.270832 0.835008i
\(175\) 20.3272 3.57274i 1.53659 0.270074i
\(176\) −9.64661 + 11.4964i −0.727140 + 0.866572i
\(177\) 1.46730 0.0761343i 0.110289 0.00572261i
\(178\) 28.7979 13.4287i 2.15849 1.00652i
\(179\) −7.16939 + 12.4178i −0.535866 + 0.928147i 0.463255 + 0.886225i \(0.346681\pi\)
−0.999121 + 0.0419217i \(0.986652\pi\)
\(180\) −14.6969 + 6.36749i −1.09544 + 0.474605i
\(181\) −10.7361 18.5955i −0.798011 1.38220i −0.920910 0.389776i \(-0.872552\pi\)
0.122899 0.992419i \(-0.460781\pi\)
\(182\) 18.1443 + 12.7048i 1.34494 + 0.941740i
\(183\) −1.69248 + 13.7253i −0.125112 + 1.01460i
\(184\) −1.03354 2.83962i −0.0761933 0.209339i
\(185\) −0.670037 + 5.07867i −0.0492621 + 0.373391i
\(186\) −4.82311 3.01730i −0.353648 0.221239i
\(187\) −11.8874 1.04001i −0.869292 0.0760532i
\(188\) 0.648481 + 0.648481i 0.0472953 + 0.0472953i
\(189\) −21.3985 + 1.46286i −1.55651 + 0.106408i
\(190\) 21.9069 0.950452i 1.58929 0.0689530i
\(191\) −7.60498 9.06326i −0.550277 0.655794i 0.417182 0.908823i \(-0.363018\pi\)
−0.967459 + 0.253029i \(0.918573\pi\)
\(192\) 12.6826 + 13.6146i 0.915291 + 0.982551i
\(193\) 9.22349 + 13.1725i 0.663922 + 0.948178i 0.999980 + 0.00633721i \(0.00201721\pi\)
−0.336058 + 0.941841i \(0.609094\pi\)
\(194\) 2.71557 0.988386i 0.194967 0.0709620i
\(195\) −5.62623 + 8.17233i −0.402903 + 0.585232i
\(196\) 4.16209 + 23.6044i 0.297292 + 1.68603i
\(197\) −26.6994 7.15409i −1.90225 0.509708i −0.996259 0.0864206i \(-0.972457\pi\)
−0.905996 0.423287i \(-0.860876\pi\)
\(198\) 15.7717 + 26.3104i 1.12085 + 1.86980i
\(199\) 17.2147 + 9.93892i 1.22032 + 0.704551i 0.964986 0.262302i \(-0.0844817\pi\)
0.255332 + 0.966853i \(0.417815\pi\)
\(200\) −3.51742 + 2.02821i −0.248719 + 0.143416i
\(201\) −2.93489 + 13.7724i −0.207011 + 0.971431i
\(202\) 0.0955476 + 1.09211i 0.00672271 + 0.0768409i
\(203\) −1.14820 13.1240i −0.0805881 0.921126i
\(204\) −2.10699 + 9.88740i −0.147519 + 0.692256i
\(205\) 7.04359 + 13.5397i 0.491946 + 0.945653i
\(206\) 6.29334 + 3.63346i 0.438478 + 0.253155i
\(207\) 11.1622 0.183251i 0.775830 0.0127368i
\(208\) 7.60749 + 2.03842i 0.527484 + 0.141339i
\(209\) −3.96835 22.5056i −0.274496 1.55675i
\(210\) −32.9312 + 6.07642i −2.27247 + 0.419313i
\(211\) 21.2772 7.74427i 1.46478 0.533137i 0.518105 0.855317i \(-0.326638\pi\)
0.946678 + 0.322180i \(0.104416\pi\)
\(212\) 0.344364 + 0.491802i 0.0236510 + 0.0337771i
\(213\) −10.6761 11.4607i −0.731517 0.785272i
\(214\) 7.75108 + 9.23738i 0.529853 + 0.631454i
\(215\) −0.126835 2.92340i −0.00865006 0.199374i
\(216\) 3.85743 1.71025i 0.262465 0.116368i
\(217\) −4.57688 4.57688i −0.310699 0.310699i
\(218\) −21.5532 1.88566i −1.45976 0.127713i
\(219\) −18.1111 11.3302i −1.22384 0.765621i
\(220\) 15.8601 + 20.6810i 1.06929 + 1.39431i
\(221\) 2.14183 + 5.88462i 0.144075 + 0.395843i
\(222\) 1.01722 8.24922i 0.0682715 0.553651i
\(223\) −8.26723 5.78878i −0.553615 0.387645i 0.263029 0.964788i \(-0.415279\pi\)
−0.816643 + 0.577143i \(0.804168\pi\)
\(224\) 16.6429 + 28.8264i 1.11200 + 1.92604i
\(225\) −2.83877 14.7289i −0.189251 0.981929i
\(226\) −5.72647 + 9.91853i −0.380919 + 0.659771i
\(227\) −22.0920 + 10.3017i −1.46630 + 0.683745i −0.981602 0.190939i \(-0.938847\pi\)
−0.484694 + 0.874684i \(0.661069\pi\)
\(228\) −19.3347 + 1.00323i −1.28048 + 0.0664406i
\(229\) 5.75242 6.85547i 0.380131 0.453022i −0.541725 0.840556i \(-0.682229\pi\)
0.921855 + 0.387534i \(0.126673\pi\)
\(230\) 17.2813 2.27030i 1.13949 0.149699i
\(231\) 10.7675 + 33.1977i 0.708452 + 2.18425i
\(232\) 1.09532 + 2.34892i 0.0719114 + 0.154214i
\(233\) 18.4470 4.94285i 1.20850 0.323817i 0.402328 0.915496i \(-0.368201\pi\)
0.806174 + 0.591679i \(0.201535\pi\)
\(234\) 9.01594 13.3368i 0.589390 0.871854i
\(235\) −0.724481 + 0.461266i −0.0472599 + 0.0300897i
\(236\) −1.99466 + 0.351712i −0.129841 + 0.0228945i
\(237\) 7.30558 + 17.2357i 0.474548 + 1.11958i
\(238\) −8.93244 + 19.1557i −0.579004 + 1.24168i
\(239\) 0.434105 2.46193i 0.0280799 0.159249i −0.967544 0.252704i \(-0.918680\pi\)
0.995623 + 0.0934552i \(0.0297912\pi\)
\(240\) −10.2642 + 6.03509i −0.662548 + 0.389563i
\(241\) 16.4029 13.7637i 1.05660 0.886595i 0.0628307 0.998024i \(-0.479987\pi\)
0.993772 + 0.111429i \(0.0355428\pi\)
\(242\) 19.0018 19.0018i 1.22148 1.22148i
\(243\) 1.31833 + 15.5326i 0.0845709 + 0.996417i
\(244\) 19.0639i 1.22044i
\(245\) −22.4250 0.985261i −1.43268 0.0629460i
\(246\) −11.6144 21.8708i −0.740505 1.39443i
\(247\) −9.82413 + 6.87893i −0.625095 + 0.437696i
\(248\) 1.15407 + 0.538151i 0.0732834 + 0.0341726i
\(249\) −5.98874 2.42322i −0.379521 0.153565i
\(250\) −7.02390 22.3411i −0.444231 1.41297i
\(251\) 13.6587 7.88585i 0.862129 0.497751i −0.00259539 0.999997i \(-0.500826\pi\)
0.864725 + 0.502246i \(0.167493\pi\)
\(252\) 29.0299 5.61158i 1.82871 0.353496i
\(253\) −4.70152 17.5463i −0.295582 1.10313i
\(254\) −14.2326 5.18025i −0.893034 0.325038i
\(255\) −8.61194 3.93294i −0.539301 0.246290i
\(256\) 6.23009 + 5.22767i 0.389381 + 0.326729i
\(257\) 1.38654 0.121306i 0.0864897 0.00756687i −0.0438287 0.999039i \(-0.513956\pi\)
0.130318 + 0.991472i \(0.458400\pi\)
\(258\) 0.246019 + 4.74139i 0.0153165 + 0.295186i
\(259\) 3.23429 8.88613i 0.200969 0.552157i
\(260\) 6.31885 12.1303i 0.391878 0.752287i
\(261\) −9.52337 + 0.990955i −0.589482 + 0.0613386i
\(262\) −4.11948 + 15.3741i −0.254502 + 0.949816i
\(263\) 14.1967 20.2750i 0.875405 1.25021i −0.0916894 0.995788i \(-0.529227\pi\)
0.967094 0.254420i \(-0.0818844\pi\)
\(264\) −4.22428 5.41261i −0.259986 0.333123i
\(265\) −0.519518 + 0.215024i −0.0319137 + 0.0132088i
\(266\) −39.8630 7.02892i −2.44416 0.430971i
\(267\) −5.89711 25.6038i −0.360897 1.56693i
\(268\) 1.69186 19.3380i 0.103347 1.18126i
\(269\) 30.2129 1.84212 0.921058 0.389426i \(-0.127327\pi\)
0.921058 + 0.389426i \(0.127327\pi\)
\(270\) 4.80853 + 23.8582i 0.292638 + 1.45196i
\(271\) −30.1849 −1.83360 −0.916802 0.399341i \(-0.869239\pi\)
−0.916802 + 0.399341i \(0.869239\pi\)
\(272\) −0.654998 + 7.48666i −0.0397151 + 0.453946i
\(273\) 13.4016 12.4842i 0.811101 0.755577i
\(274\) −18.1693 3.20374i −1.09765 0.193545i
\(275\) −22.1263 + 10.3029i −1.33427 + 0.621288i
\(276\) −15.2408 + 2.13390i −0.917391 + 0.128446i
\(277\) 3.32558 4.74942i 0.199815 0.285365i −0.706723 0.707491i \(-0.749827\pi\)
0.906537 + 0.422126i \(0.138716\pi\)
\(278\) 0.350772 1.30910i 0.0210379 0.0785144i
\(279\) −3.27136 + 3.38057i −0.195851 + 0.202389i
\(280\) 7.14895 2.25190i 0.427232 0.134577i
\(281\) −5.21843 + 14.3375i −0.311305 + 0.855304i 0.681089 + 0.732201i \(0.261507\pi\)
−0.992394 + 0.123103i \(0.960715\pi\)
\(282\) 1.16910 0.758361i 0.0696190 0.0451598i
\(283\) −23.6334 + 2.06765i −1.40486 + 0.122909i −0.764231 0.644943i \(-0.776881\pi\)
−0.640627 + 0.767852i \(0.721326\pi\)
\(284\) 16.5402 + 13.8789i 0.981481 + 0.823561i
\(285\) 3.00673 17.8804i 0.178104 1.05914i
\(286\) −24.6150 8.95911i −1.45551 0.529764i
\(287\) −7.29195 27.2139i −0.430430 1.60639i
\(288\) 20.7492 12.4381i 1.22266 0.732923i
\(289\) 9.54744 5.51222i 0.561614 0.324248i
\(290\) −14.5955 + 3.23154i −0.857075 + 0.189762i
\(291\) −0.331335 2.36648i −0.0194232 0.138726i
\(292\) 26.6905 + 12.4460i 1.56194 + 0.728345i
\(293\) 6.83357 4.78492i 0.399221 0.279538i −0.356676 0.934228i \(-0.616090\pi\)
0.755897 + 0.654690i \(0.227201\pi\)
\(294\) 36.3975 + 1.28994i 2.12274 + 0.0752306i
\(295\) 0.0832581 1.89499i 0.00484747 0.110331i
\(296\) 1.86036i 0.108131i
\(297\) 23.9959 8.22069i 1.39238 0.477013i
\(298\) −27.6292 + 27.6292i −1.60051 + 1.60051i
\(299\) −7.30274 + 6.12773i −0.422329 + 0.354376i
\(300\) 6.36881 + 19.6726i 0.367704 + 1.13580i
\(301\) −0.937987 + 5.31959i −0.0540647 + 0.306616i
\(302\) −10.5007 + 22.5189i −0.604249 + 1.29582i
\(303\) 0.899685 + 0.110941i 0.0516855 + 0.00637341i
\(304\) −14.1740 + 2.49926i −0.812934 + 0.143342i
\(305\) 17.4292 + 3.86897i 0.997992 + 0.221537i
\(306\) 14.0268 + 6.26257i 0.801856 + 0.358007i
\(307\) 21.3806 5.72891i 1.22025 0.326966i 0.409476 0.912321i \(-0.365711\pi\)
0.810777 + 0.585355i \(0.199045\pi\)
\(308\) −20.3325 43.6032i −1.15855 2.48452i
\(309\) 4.02305 4.46338i 0.228863 0.253913i
\(310\) −4.47275 + 5.82569i −0.254035 + 0.330877i
\(311\) 17.1260 20.4100i 0.971128 1.15735i −0.0163937 0.999866i \(-0.505219\pi\)
0.987522 0.157480i \(-0.0503370\pi\)
\(312\) −1.63749 + 3.20963i −0.0927045 + 0.181710i
\(313\) −0.405241 + 0.188967i −0.0229056 + 0.0106810i −0.434037 0.900895i \(-0.642911\pi\)
0.411132 + 0.911576i \(0.365134\pi\)
\(314\) −0.998003 + 1.72859i −0.0563206 + 0.0975501i
\(315\) −0.761157 + 27.6794i −0.0428864 + 1.55956i
\(316\) −12.9031 22.3487i −0.725853 1.25722i
\(317\) 0.701972 + 0.491526i 0.0394267 + 0.0276069i 0.593124 0.805111i \(-0.297895\pi\)
−0.553697 + 0.832718i \(0.686783\pi\)
\(318\) 0.839944 0.356021i 0.0471017 0.0199647i
\(319\) 5.32859 + 14.6402i 0.298344 + 0.819693i
\(320\) 19.0612 14.6179i 1.06555 0.817164i
\(321\) 8.80629 4.67653i 0.491519 0.261018i
\(322\) −32.0527 2.80425i −1.78623 0.156275i
\(323\) −8.09210 8.09210i −0.450256 0.450256i
\(324\) −4.42419 21.0287i −0.245789 1.16826i
\(325\) 9.80770 + 8.23881i 0.544033 + 0.457007i
\(326\) 23.2086 + 27.6589i 1.28540 + 1.53188i
\(327\) −5.23941 + 17.1056i −0.289740 + 0.945940i
\(328\) 3.17914 + 4.54028i 0.175539 + 0.250695i
\(329\) 1.48983 0.542255i 0.0821371 0.0298955i
\(330\) 35.7576 17.0207i 1.96839 0.936958i
\(331\) 4.97884 + 28.2364i 0.273662 + 1.55201i 0.743181 + 0.669091i \(0.233316\pi\)
−0.469519 + 0.882922i \(0.655573\pi\)
\(332\) 8.60238 + 2.30500i 0.472117 + 0.126503i
\(333\) −6.49603 2.24431i −0.355980 0.122987i
\(334\) 9.20598 + 5.31507i 0.503729 + 0.290828i
\(335\) 17.3364 + 5.47139i 0.947191 + 0.298934i
\(336\) 20.9078 6.78138i 1.14062 0.369954i
\(337\) −0.656020 7.49834i −0.0357357 0.408461i −0.992903 0.118926i \(-0.962055\pi\)
0.957167 0.289535i \(-0.0935006\pi\)
\(338\) −1.17520 13.4326i −0.0639226 0.730639i
\(339\) 7.03446 + 6.34047i 0.382059 + 0.344367i
\(340\) 12.4461 + 3.92798i 0.674982 + 0.213025i
\(341\) 6.62908 + 3.82730i 0.358985 + 0.207260i
\(342\) −4.63227 + 29.0518i −0.250484 + 1.57094i
\(343\) 12.1146 + 3.24609i 0.654125 + 0.175272i
\(344\) −0.184530 1.04652i −0.00994921 0.0564248i
\(345\) 1.14218 14.3670i 0.0614927 0.773494i
\(346\) −3.29068 + 1.19771i −0.176908 + 0.0643892i
\(347\) −14.8856 21.2589i −0.799103 1.14124i −0.987263 0.159099i \(-0.949141\pi\)
0.188160 0.982138i \(-0.439748\pi\)
\(348\) 12.8623 2.96247i 0.689493 0.158805i
\(349\) −11.2260 13.3786i −0.600915 0.716143i 0.376749 0.926315i \(-0.377042\pi\)
−0.977664 + 0.210173i \(0.932597\pi\)
\(350\) 3.74425 + 43.0692i 0.200139 + 2.30215i
\(351\) −9.23199 9.58983i −0.492767 0.511867i
\(352\) −27.8345 27.8345i −1.48358 1.48358i
\(353\) 8.98082 + 0.785720i 0.478001 + 0.0418196i 0.323611 0.946190i \(-0.395103\pi\)
0.154390 + 0.988010i \(0.450659\pi\)
\(354\) −0.109004 + 3.07572i −0.00579351 + 0.163473i
\(355\) −16.0456 + 12.3052i −0.851610 + 0.653092i
\(356\) 12.3878 + 34.0352i 0.656553 + 1.80386i
\(357\) 13.9522 + 10.5251i 0.738431 + 0.557048i
\(358\) −24.6033 17.2275i −1.30033 0.910499i
\(359\) −7.90716 13.6956i −0.417324 0.722827i 0.578345 0.815792i \(-0.303699\pi\)
−0.995669 + 0.0929655i \(0.970365\pi\)
\(360\) −1.72172 5.16819i −0.0907424 0.272388i
\(361\) 1.45829 2.52584i 0.0767523 0.132939i
\(362\) 40.7635 19.0083i 2.14248 0.999055i
\(363\) −12.0925 18.6419i −0.634690 0.978448i
\(364\) −16.2293 + 19.3414i −0.850648 + 1.01376i
\(365\) −16.7955 + 21.8759i −0.879115 + 1.14503i
\(366\) −28.3316 6.03744i −1.48092 0.315582i
\(367\) 9.15174 + 19.6260i 0.477717 + 1.02447i 0.986529 + 0.163589i \(0.0523072\pi\)
−0.508812 + 0.860878i \(0.669915\pi\)
\(368\) −11.0506 + 2.96101i −0.576054 + 0.154353i
\(369\) −19.6890 + 5.62364i −1.02497 + 0.292755i
\(370\) −10.4754 2.32535i −0.544588 0.120889i
\(371\) 1.02216 0.180234i 0.0530677 0.00935726i
\(372\) 3.90542 5.17708i 0.202487 0.268419i
\(373\) −10.2722 + 22.0287i −0.531873 + 1.14060i 0.438442 + 0.898760i \(0.355530\pi\)
−0.970315 + 0.241845i \(0.922247\pi\)
\(374\) 4.34040 24.6156i 0.224437 1.27284i
\(375\) −19.2782 + 1.83017i −0.995524 + 0.0945097i
\(376\) −0.238933 + 0.200489i −0.0123220 + 0.0103394i
\(377\) 5.78144 5.78144i 0.297759 0.297759i
\(378\) 0.854021 44.9196i 0.0439261 2.31041i
\(379\) 18.5170i 0.951157i 0.879673 + 0.475578i \(0.157761\pi\)
−0.879673 + 0.475578i \(0.842239\pi\)
\(380\) −1.09710 + 24.9705i −0.0562802 + 1.28096i
\(381\) −6.64221 + 10.6175i −0.340291 + 0.543951i
\(382\) 20.3008 14.2147i 1.03868 0.727289i
\(383\) 2.14027 + 0.998023i 0.109363 + 0.0509966i 0.476530 0.879158i \(-0.341895\pi\)
−0.367167 + 0.930155i \(0.619672\pi\)
\(384\) −8.70378 + 6.79286i −0.444163 + 0.346647i
\(385\) 43.9907 9.73983i 2.24197 0.496388i
\(386\) −29.1711 + 16.8419i −1.48477 + 0.857231i
\(387\) 3.87687 + 0.618161i 0.197073 + 0.0314229i
\(388\) 0.852569 + 3.18183i 0.0432826 + 0.161533i
\(389\) −9.90399 3.60476i −0.502152 0.182768i 0.0785096 0.996913i \(-0.474984\pi\)
−0.580662 + 0.814145i \(0.697206\pi\)
\(390\) −16.0261 13.2323i −0.811513 0.670042i
\(391\) −6.96839 5.84717i −0.352407 0.295704i
\(392\) −8.12074 + 0.710472i −0.410159 + 0.0358843i
\(393\) 11.7235 + 5.98107i 0.591370 + 0.301705i
\(394\) 19.8028 54.4078i 0.997651 2.74102i
\(395\) 23.0510 7.26099i 1.15982 0.365340i
\(396\) −31.4434 + 15.2956i −1.58009 + 0.768632i
\(397\) 2.01733 7.52877i 0.101247 0.377858i −0.896646 0.442749i \(-0.854003\pi\)
0.997892 + 0.0648910i \(0.0206700\pi\)
\(398\) −23.8824 + 34.1076i −1.19712 + 1.70966i
\(399\) −12.5544 + 31.0268i −0.628504 + 1.55328i
\(400\) 6.48875 + 13.9351i 0.324438 + 0.696757i
\(401\) −28.6980 5.06024i −1.43311 0.252696i −0.597434 0.801918i \(-0.703813\pi\)
−0.835677 + 0.549222i \(0.814924\pi\)
\(402\) −28.2032 8.63858i −1.40665 0.430853i
\(403\) 0.350114 4.00182i 0.0174404 0.199345i
\(404\) −1.24963 −0.0621715
\(405\) 20.1234 + 0.222908i 0.999939 + 0.0110764i
\(406\) 27.5956 1.36955
\(407\) −0.974677 + 11.1406i −0.0483130 + 0.552220i
\(408\) −3.28748 1.00695i −0.162755 0.0498514i
\(409\) 10.1037 + 1.78155i 0.499594 + 0.0880918i 0.417766 0.908555i \(-0.362813\pi\)
0.0818277 + 0.996646i \(0.473924\pi\)
\(410\) −29.5393 + 12.2261i −1.45884 + 0.603802i
\(411\) −5.72221 + 14.1418i −0.282256 + 0.697565i
\(412\) −4.75116 + 6.78536i −0.234073 + 0.334291i
\(413\) −0.906258 + 3.38220i −0.0445941 + 0.166427i
\(414\) −1.65543 + 23.3258i −0.0813597 + 1.14640i
\(415\) −3.85318 + 7.39693i −0.189145 + 0.363101i
\(416\) −7.06545 + 19.4122i −0.346412 + 0.951760i
\(417\) −0.998246 0.509284i −0.0488843 0.0249398i
\(418\) 47.6871 4.17208i 2.33245 0.204063i
\(419\) 14.0240 + 11.7675i 0.685117 + 0.574881i 0.917496 0.397744i \(-0.130207\pi\)
−0.232380 + 0.972625i \(0.574651\pi\)
\(420\) −3.62840 37.9983i −0.177048 1.85413i
\(421\) −28.8617 10.5048i −1.40664 0.511973i −0.476495 0.879177i \(-0.658093\pi\)
−0.930140 + 0.367204i \(0.880315\pi\)
\(422\) 12.2756 + 45.8131i 0.597566 + 2.23015i
\(423\) −0.411824 1.07617i −0.0200235 0.0523254i
\(424\) −0.176834 + 0.102095i −0.00858784 + 0.00495819i
\(425\) −6.11705 + 10.5816i −0.296721 + 0.513284i
\(426\) 25.8641 20.1857i 1.25312 0.977999i
\(427\) −29.8695 13.9284i −1.44548 0.674040i
\(428\) −11.2595 + 7.88396i −0.544246 + 0.381085i
\(429\) −11.4875 + 18.3627i −0.554623 + 0.886559i
\(430\) 6.12344 + 0.269039i 0.295299 + 0.0129742i
\(431\) 13.0253i 0.627407i −0.949521 0.313703i \(-0.898430\pi\)
0.949521 0.313703i \(-0.101570\pi\)
\(432\) −5.17738 15.1126i −0.249097 0.727104i
\(433\) 24.3815 24.3815i 1.17170 1.17170i 0.189896 0.981804i \(-0.439185\pi\)
0.981804 0.189896i \(-0.0608150\pi\)
\(434\) 10.3862 8.71504i 0.498553 0.418335i
\(435\) 0.0980632 + 12.3606i 0.00470177 + 0.592646i
\(436\) 4.28248 24.2871i 0.205093 1.16314i
\(437\) 7.36247 15.7889i 0.352195 0.755284i
\(438\) 26.9491 35.7241i 1.28768 1.70696i
\(439\) −21.0657 + 3.71446i −1.00541 + 0.177281i −0.652027 0.758196i \(-0.726081\pi\)
−0.353386 + 0.935477i \(0.614970\pi\)
\(440\) −7.47702 + 4.76050i −0.356453 + 0.226948i
\(441\) 7.31587 29.2132i 0.348375 1.39110i
\(442\) −12.6705 + 3.39505i −0.602674 + 0.161486i
\(443\) 11.4594 + 24.5747i 0.544452 + 1.16758i 0.965466 + 0.260527i \(0.0838964\pi\)
−0.421014 + 0.907054i \(0.638326\pi\)
\(444\) 9.26626 + 1.97463i 0.439757 + 0.0937118i
\(445\) −33.6308 + 4.41819i −1.59425 + 0.209442i
\(446\) 13.5888 16.1945i 0.643447 0.766830i
\(447\) 17.5828 + 27.1059i 0.831637 + 1.28206i
\(448\) −40.1882 + 18.7400i −1.89871 + 0.885384i
\(449\) −1.17379 + 2.03306i −0.0553944 + 0.0959459i −0.892393 0.451259i \(-0.850975\pi\)
0.836998 + 0.547205i \(0.184308\pi\)
\(450\) 31.2532 3.23472i 1.47329 0.152486i
\(451\) 16.6593 + 28.8547i 0.784454 + 1.35871i
\(452\) −10.6940 7.48801i −0.503003 0.352206i
\(453\) 16.4019 + 12.3730i 0.770627 + 0.581336i
\(454\) −17.4634 47.9802i −0.819596 2.25182i
\(455\) −14.3891 18.7630i −0.674573 0.879621i
\(456\) 0.233215 6.58052i 0.0109213 0.308161i
\(457\) 0.523843 + 0.0458303i 0.0245043 + 0.00214385i 0.0994013 0.995047i \(-0.468307\pi\)
−0.0748970 + 0.997191i \(0.523863\pi\)
\(458\) 13.2552 + 13.2552i 0.619374 + 0.619374i
\(459\) 7.48203 10.2645i 0.349231 0.479105i
\(460\) 0.861173 + 19.8491i 0.0401524 + 0.925469i
\(461\) −5.97585 7.12174i −0.278323 0.331693i 0.608715 0.793389i \(-0.291685\pi\)
−0.887038 + 0.461696i \(0.847241\pi\)
\(462\) −71.2396 + 16.4080i −3.31437 + 0.763370i
\(463\) 12.6829 + 18.1131i 0.589426 + 0.841787i 0.997464 0.0711780i \(-0.0226758\pi\)
−0.408038 + 0.912965i \(0.633787\pi\)
\(464\) 9.22036 3.35594i 0.428045 0.155795i
\(465\) 3.94055 + 4.62120i 0.182738 + 0.214303i
\(466\) 6.94655 + 39.3958i 0.321793 + 1.82498i
\(467\) 24.6828 + 6.61375i 1.14219 + 0.306048i 0.779830 0.625992i \(-0.215306\pi\)
0.362356 + 0.932040i \(0.381972\pi\)
\(468\) 14.2488 + 11.5629i 0.658649 + 0.534496i
\(469\) −29.0629 16.7794i −1.34200 0.774803i
\(470\) −0.830263 1.59599i −0.0382972 0.0736175i
\(471\) 1.22596 + 1.10501i 0.0564892 + 0.0509162i
\(472\) −0.0600375 0.686232i −0.00276345 0.0315864i
\(473\) −0.556751 6.36369i −0.0255994 0.292603i
\(474\) −37.2996 + 12.0980i −1.71323 + 0.555679i
\(475\) −22.6067 6.07073i −1.03726 0.278544i
\(476\) −20.8646 12.0462i −0.956328 0.552136i
\(477\) −0.143168 0.740638i −0.00655521 0.0339115i
\(478\) 5.05807 + 1.35531i 0.231351 + 0.0619903i
\(479\) −2.14579 12.1694i −0.0980435 0.556032i −0.993772 0.111431i \(-0.964457\pi\)
0.895729 0.444601i \(-0.146655\pi\)
\(480\) −13.4231 28.1996i −0.612677 1.28713i
\(481\) 5.51494 2.00728i 0.251460 0.0915239i
\(482\) 25.7262 + 36.7408i 1.17179 + 1.67350i
\(483\) −7.79177 + 25.4385i −0.354538 + 1.15749i
\(484\) 19.6895 + 23.4651i 0.894979 + 1.06659i
\(485\) −3.08201 + 0.133716i −0.139947 + 0.00607174i
\(486\) −32.6527 0.0847152i −1.48116 0.00384276i
\(487\) 16.4134 + 16.4134i 0.743762 + 0.743762i 0.973300 0.229538i \(-0.0737215\pi\)
−0.229538 + 0.973300i \(0.573722\pi\)
\(488\) 6.45902 + 0.565091i 0.292386 + 0.0255805i
\(489\) 26.3681 14.0026i 1.19241 0.633221i
\(490\) 6.14993 46.6145i 0.277825 2.10583i
\(491\) 3.53191 + 9.70384i 0.159393 + 0.437928i 0.993522 0.113641i \(-0.0362515\pi\)
−0.834129 + 0.551569i \(0.814029\pi\)
\(492\) 25.9890 11.0158i 1.17168 0.496630i
\(493\) 6.39090 + 4.47496i 0.287832 + 0.201542i
\(494\) −12.5608 21.7559i −0.565137 0.978846i
\(495\) −7.60263 31.8513i −0.341713 1.43161i
\(496\) 2.41043 4.17499i 0.108231 0.187462i
\(497\) 33.8300 15.7752i 1.51748 0.707615i
\(498\) 6.14988 12.0543i 0.275583 0.540168i
\(499\) 21.3906 25.4924i 0.957576 1.14119i −0.0323314 0.999477i \(-0.510293\pi\)
0.989907 0.141717i \(-0.0452624\pi\)
\(500\) 26.0670 5.75640i 1.16575 0.257434i
\(501\) 5.88496 6.52910i 0.262921 0.291698i
\(502\) 13.9619 + 29.9414i 0.623150 + 1.33635i
\(503\) −27.9094 + 7.47831i −1.24442 + 0.333441i −0.820178 0.572108i \(-0.806126\pi\)
−0.424241 + 0.905549i \(0.639459\pi\)
\(504\) 1.04075 + 10.0019i 0.0463587 + 0.445521i
\(505\) 0.253610 1.14248i 0.0112855 0.0508395i
\(506\) 37.4723 6.60738i 1.66585 0.293734i
\(507\) −11.0658 1.36454i −0.491450 0.0606013i
\(508\) 7.29635 15.6471i 0.323723 0.694226i
\(509\) −2.41068 + 13.6717i −0.106852 + 0.605986i 0.883613 + 0.468218i \(0.155104\pi\)
−0.990465 + 0.137768i \(0.956007\pi\)
\(510\) 9.77912 17.2526i 0.433027 0.763957i
\(511\) 39.0008 32.7256i 1.72529 1.44769i
\(512\) −21.0607 + 21.0607i −0.930762 + 0.930762i
\(513\) 22.6966 + 8.75295i 1.00208 + 0.386452i
\(514\) 2.91544i 0.128594i
\(515\) −5.23928 5.72082i −0.230870 0.252089i
\(516\) −5.40848 0.191678i −0.238095 0.00843816i
\(517\) −1.53587 + 1.07543i −0.0675474 + 0.0472972i
\(518\) 17.9523 + 8.37129i 0.788778 + 0.367813i
\(519\) 0.401506 + 2.86766i 0.0176241 + 0.125876i
\(520\) 3.92254 + 2.50044i 0.172015 + 0.109652i
\(521\) 4.10889 2.37227i 0.180014 0.103931i −0.407285 0.913301i \(-0.633525\pi\)
0.587299 + 0.809370i \(0.300191\pi\)
\(522\) −0.329217 20.0534i −0.0144094 0.877713i
\(523\) 10.5765 + 39.4721i 0.462478 + 1.72599i 0.665117 + 0.746739i \(0.268382\pi\)
−0.202638 + 0.979254i \(0.564952\pi\)
\(524\) −17.0487 6.20521i −0.744774 0.271076i
\(525\) 35.4763 + 4.39440i 1.54831 + 0.191787i
\(526\) 39.7161 + 33.3258i 1.73170 + 1.45307i
\(527\) 3.81860 0.334084i 0.166341 0.0145529i
\(528\) −21.8075 + 14.1459i −0.949049 + 0.615620i
\(529\) −3.13027 + 8.60035i −0.136099 + 0.373928i
\(530\) −0.353848 1.12334i −0.0153702 0.0487947i
\(531\) 2.46862 + 0.618217i 0.107129 + 0.0268283i
\(532\) 11.9419 44.5677i 0.517746 1.93226i
\(533\) 10.0292 14.3232i 0.434414 0.620407i
\(534\) 54.5042 7.63123i 2.35863 0.330235i
\(535\) −4.92283 11.8940i −0.212832 0.514222i
\(536\) 6.50174 + 1.14643i 0.280833 + 0.0495184i
\(537\) −18.1723 + 16.9284i −0.784194 + 0.730512i
\(538\) −5.51577 + 63.0456i −0.237802 + 2.71809i
\(539\) −49.0025 −2.11069
\(540\) −27.5697 + 3.09004i −1.18641 + 0.132974i
\(541\) −14.7870 −0.635743 −0.317871 0.948134i \(-0.602968\pi\)
−0.317871 + 0.948134i \(0.602968\pi\)
\(542\) 5.51066 62.9871i 0.236703 2.70553i
\(543\) −8.34737 36.2422i −0.358220 1.55530i
\(544\) −19.4127 3.42298i −0.832313 0.146759i
\(545\) 21.3354 + 8.84427i 0.913908 + 0.378847i
\(546\) 23.6042 + 30.2443i 1.01017 + 1.29434i
\(547\) −13.4962 + 19.2746i −0.577057 + 0.824123i −0.996494 0.0836614i \(-0.973339\pi\)
0.419437 + 0.907784i \(0.362227\pi\)
\(548\) 5.44304 20.3137i 0.232515 0.867759i
\(549\) −9.76523 + 21.8719i −0.416770 + 0.933472i
\(550\) −17.4597 48.0521i −0.744483 2.04895i
\(551\) −5.11030 + 14.0404i −0.217706 + 0.598142i
\(552\) −0.271215 5.22698i −0.0115437 0.222475i
\(553\) −44.4433 + 3.88828i −1.88992 + 0.165347i
\(554\) 9.30352 + 7.80658i 0.395269 + 0.331670i
\(555\) −3.68587 + 8.07093i −0.156456 + 0.342592i
\(556\) 1.45168 + 0.528370i 0.0615651 + 0.0224079i
\(557\) −6.36725 23.7629i −0.269789 1.00687i −0.959253 0.282547i \(-0.908821\pi\)
0.689464 0.724320i \(-0.257846\pi\)
\(558\) −6.45702 7.44354i −0.273348 0.315110i
\(559\) −2.90326 + 1.67620i −0.122795 + 0.0708956i
\(560\) −6.13413 27.7052i −0.259214 1.17076i
\(561\) −19.1592 7.75239i −0.808903 0.327306i
\(562\) −28.9655 13.5068i −1.22184 0.569751i
\(563\) −10.8188 + 7.57539i −0.455957 + 0.319265i −0.778894 0.627156i \(-0.784219\pi\)
0.322936 + 0.946421i \(0.395330\pi\)
\(564\) 0.745003 + 1.40290i 0.0313703 + 0.0590728i
\(565\) 9.01622 8.25730i 0.379315 0.347387i
\(566\) 49.6934i 2.08877i
\(567\) −36.1803 8.43201i −1.51943 0.354111i
\(568\) −5.19257 + 5.19257i −0.217875 + 0.217875i
\(569\) −9.80603 + 8.22824i −0.411090 + 0.344946i −0.824762 0.565481i \(-0.808691\pi\)
0.413671 + 0.910426i \(0.364246\pi\)
\(570\) 36.7622 + 9.53848i 1.53980 + 0.399523i
\(571\) 1.27813 7.24862i 0.0534879 0.303345i −0.946314 0.323249i \(-0.895225\pi\)
0.999802 + 0.0199038i \(0.00633599\pi\)
\(572\) 12.6188 27.0612i 0.527620 1.13149i
\(573\) −7.99720 18.8674i −0.334088 0.788198i
\(574\) 58.1187 10.2479i 2.42583 0.427739i
\(575\) −18.3218 3.24100i −0.764072 0.135159i
\(576\) 14.0976 + 28.9807i 0.587400 + 1.20753i
\(577\) −22.4695 + 6.02067i −0.935416 + 0.250644i −0.694163 0.719818i \(-0.744225\pi\)
−0.241253 + 0.970462i \(0.577558\pi\)
\(578\) 9.75937 + 20.9290i 0.405936 + 0.870533i
\(579\) 8.59316 + 26.4938i 0.357120 + 1.10104i
\(580\) −2.21952 16.8948i −0.0921607 0.701517i
\(581\) 9.89651 11.7942i 0.410576 0.489306i
\(582\) 4.99864 0.259367i 0.207200 0.0107511i
\(583\) −1.11245 + 0.518743i −0.0460729 + 0.0214841i
\(584\) −5.00795 + 8.67403i −0.207231 + 0.358934i
\(585\) −13.4631 + 10.6803i −0.556633 + 0.441574i
\(586\) 8.73716 + 15.1332i 0.360929 + 0.625147i
\(587\) −8.73500 6.11631i −0.360532 0.252447i 0.379249 0.925294i \(-0.376182\pi\)
−0.739781 + 0.672847i \(0.765071\pi\)
\(588\) −5.08075 + 41.2026i −0.209526 + 1.69917i
\(589\) 2.51078 + 6.89830i 0.103455 + 0.284240i
\(590\) 3.93909 + 0.519691i 0.162170 + 0.0213953i
\(591\) −40.5880 25.3915i −1.66957 1.04447i
\(592\) 7.01634 + 0.613850i 0.288370 + 0.0252291i
\(593\) −30.2299 30.2299i −1.24139 1.24139i −0.959424 0.281969i \(-0.909013\pi\)
−0.281969 0.959424i \(-0.590987\pi\)
\(594\) 12.7734 + 51.5732i 0.524099 + 2.11607i
\(595\) 15.2476 16.6307i 0.625093 0.681793i
\(596\) −28.6291 34.1189i −1.17269 1.39756i
\(597\) 23.4677 + 25.1923i 0.960470 + 1.03105i
\(598\) −11.4536 16.3574i −0.468371 0.668903i
\(599\) −18.4157 + 6.70275i −0.752444 + 0.273867i −0.689634 0.724158i \(-0.742228\pi\)
−0.0628100 + 0.998026i \(0.520006\pi\)
\(600\) −6.85404 + 1.57467i −0.279815 + 0.0642858i
\(601\) −5.44723 30.8927i −0.222197 1.26014i −0.867972 0.496614i \(-0.834577\pi\)
0.645775 0.763528i \(-0.276534\pi\)
\(602\) −10.9292 2.92847i −0.445440 0.119355i
\(603\) −11.8467 + 21.3198i −0.482435 + 0.868210i
\(604\) −24.5279 14.1612i −0.998025 0.576210i
\(605\) −25.4489 + 13.2390i −1.03464 + 0.538241i
\(606\) −0.395751 + 1.85712i −0.0160763 + 0.0754405i
\(607\) −1.27168 14.5354i −0.0516159 0.589972i −0.977326 0.211739i \(-0.932087\pi\)
0.925710 0.378233i \(-0.123468\pi\)
\(608\) −3.29024 37.6076i −0.133437 1.52519i
\(609\) 4.75577 22.3172i 0.192714 0.904339i
\(610\) −11.2553 + 35.6633i −0.455716 + 1.44396i
\(611\) 0.852139 + 0.491983i 0.0344739 + 0.0199035i
\(612\) −8.50491 + 15.3058i −0.343790 + 0.618699i
\(613\) −13.9129 3.72795i −0.561937 0.150571i −0.0333409 0.999444i \(-0.510615\pi\)
−0.528596 + 0.848873i \(0.677281\pi\)
\(614\) 8.05124 + 45.6609i 0.324922 + 1.84272i
\(615\) 4.79676 + 25.9961i 0.193424 + 1.04826i
\(616\) 15.3758 5.59635i 0.619510 0.225483i
\(617\) −1.50986 2.15631i −0.0607847 0.0868096i 0.787609 0.616175i \(-0.211319\pi\)
−0.848394 + 0.529366i \(0.822430\pi\)
\(618\) 8.57932 + 9.20977i 0.345111 + 0.370471i
\(619\) 14.0882 + 16.7897i 0.566254 + 0.674836i 0.970858 0.239657i \(-0.0770348\pi\)
−0.404603 + 0.914492i \(0.632590\pi\)
\(620\) −6.17095 5.65775i −0.247831 0.227221i
\(621\) 18.5788 + 5.35870i 0.745542 + 0.215037i
\(622\) 39.4631 + 39.4631i 1.58233 + 1.58233i
\(623\) 62.3773 + 5.45731i 2.49909 + 0.218642i
\(624\) 11.5648 + 7.23483i 0.462962 + 0.289625i
\(625\) −0.0274406 + 25.0000i −0.00109762 + 0.999999i
\(626\) −0.320337 0.880118i −0.0128032 0.0351766i
\(627\) 4.84424 39.2847i 0.193460 1.56888i
\(628\) −1.86374 1.30500i −0.0743712 0.0520753i
\(629\) 2.80009 + 4.84989i 0.111647 + 0.193378i
\(630\) −57.6199 6.64155i −2.29563 0.264606i
\(631\) −12.3536 + 21.3971i −0.491790 + 0.851805i −0.999955 0.00945434i \(-0.996991\pi\)
0.508165 + 0.861260i \(0.330324\pi\)
\(632\) 7.95442 3.70921i 0.316410 0.147544i
\(633\) 39.1657 2.03221i 1.55670 0.0807730i
\(634\) −1.15383 + 1.37508i −0.0458243 + 0.0546112i
\(635\) 12.8245 + 9.84622i 0.508927 + 0.390735i
\(636\) 0.320830 + 0.989159i 0.0127217 + 0.0392227i
\(637\) 10.8682 + 23.3069i 0.430613 + 0.923453i
\(638\) −31.5226 + 8.44645i −1.24799 + 0.334398i
\(639\) −11.8672 24.3957i −0.469461 0.965078i
\(640\) 7.65514 + 12.0234i 0.302596 + 0.475269i
\(641\) −1.07217 + 0.189053i −0.0423482 + 0.00746712i −0.194782 0.980847i \(-0.562400\pi\)
0.152434 + 0.988314i \(0.451289\pi\)
\(642\) 8.15084 + 19.2299i 0.321688 + 0.758944i
\(643\) 18.0131 38.6292i 0.710367 1.52339i −0.135954 0.990715i \(-0.543410\pi\)
0.846321 0.532673i \(-0.178812\pi\)
\(644\) 6.36868 36.1186i 0.250961 1.42327i
\(645\) 1.27288 4.90580i 0.0501196 0.193166i
\(646\) 18.3632 15.4085i 0.722489 0.606240i
\(647\) −8.11871 + 8.11871i −0.319179 + 0.319179i −0.848452 0.529273i \(-0.822465\pi\)
0.529273 + 0.848452i \(0.322465\pi\)
\(648\) 7.25585 0.875624i 0.285037 0.0343977i
\(649\) 4.14089i 0.162544i
\(650\) −18.9825 + 18.9617i −0.744555 + 0.743739i
\(651\) −5.25812 9.90148i −0.206082 0.388070i
\(652\) −33.7135 + 23.6064i −1.32032 + 0.924499i
\(653\) −44.5979 20.7963i −1.74525 0.813823i −0.986770 0.162125i \(-0.948165\pi\)
−0.758479 0.651698i \(-0.774057\pi\)
\(654\) −34.7378 14.0560i −1.35836 0.549631i
\(655\) 9.13309 14.3274i 0.356859 0.559818i
\(656\) 18.1726 10.4920i 0.709522 0.409643i
\(657\) −24.2466 27.9510i −0.945948 1.09047i
\(658\) 0.859538 + 3.20784i 0.0335083 + 0.125055i
\(659\) 15.4676 + 5.62976i 0.602534 + 0.219304i 0.625233 0.780438i \(-0.285004\pi\)
−0.0226995 + 0.999742i \(0.507226\pi\)
\(660\) 15.7753 + 42.2951i 0.614051 + 1.64633i
\(661\) 5.35212 + 4.49096i 0.208173 + 0.174678i 0.740913 0.671601i \(-0.234393\pi\)
−0.532740 + 0.846279i \(0.678838\pi\)
\(662\) −59.8301 + 5.23445i −2.32536 + 0.203443i
\(663\) 0.562047 + 10.8320i 0.0218281 + 0.420681i
\(664\) −1.03595 + 2.84624i −0.0402025 + 0.110455i
\(665\) 38.3224 + 19.9628i 1.48608 + 0.774123i
\(666\) 5.86914 13.1456i 0.227425 0.509381i
\(667\) −3.07392 + 11.4720i −0.119023 + 0.444199i
\(668\) −6.95006 + 9.92571i −0.268906 + 0.384037i
\(669\) −10.7550 13.7805i −0.415811 0.532784i
\(670\) −14.5822 + 35.1772i −0.563359 + 1.35901i
\(671\) 38.3832 + 6.76799i 1.48177 + 0.261276i
\(672\) 12.9399 + 56.1819i 0.499168 + 2.16726i
\(673\) −0.587229 + 6.71205i −0.0226360 + 0.258731i 0.976441 + 0.215783i \(0.0692304\pi\)
−0.999077 + 0.0429476i \(0.986325\pi\)
\(674\) 15.7666 0.607307
\(675\) 2.77013 25.8327i 0.106622 0.994300i
\(676\) 15.3700 0.591155
\(677\) −0.491331 + 5.61594i −0.0188834 + 0.215838i 0.980890 + 0.194562i \(0.0623285\pi\)
−0.999774 + 0.0212762i \(0.993227\pi\)
\(678\) −14.5149 + 13.5213i −0.557443 + 0.519283i
\(679\) 5.60821 + 0.988878i 0.215223 + 0.0379497i
\(680\) −1.69976 + 4.10040i −0.0651828 + 0.157243i
\(681\) −41.8123 + 5.85421i −1.60225 + 0.224334i
\(682\) −9.19669 + 13.1342i −0.352159 + 0.502936i
\(683\) −4.63280 + 17.2898i −0.177269 + 0.661577i 0.818885 + 0.573958i \(0.194593\pi\)
−0.996154 + 0.0876196i \(0.972074\pi\)
\(684\) −32.5293 8.14633i −1.24379 0.311483i
\(685\) 17.4672 + 9.09892i 0.667386 + 0.347652i
\(686\) −8.98530 + 24.6869i −0.343060 + 0.942551i
\(687\) 13.0041 8.43539i 0.496139 0.321830i
\(688\) −4.00784 + 0.350641i −0.152798 + 0.0133681i
\(689\) 0.493456 + 0.414058i 0.0187992 + 0.0157744i
\(690\) 29.7712 + 5.00627i 1.13337 + 0.190586i
\(691\) −27.1342 9.87603i −1.03223 0.375702i −0.230302 0.973119i \(-0.573971\pi\)
−0.801930 + 0.597417i \(0.796194\pi\)
\(692\) −1.03313 3.85568i −0.0392736 0.146571i
\(693\) 0.992257 + 60.4408i 0.0376927 + 2.29596i
\(694\) 47.0786 27.1809i 1.78708 1.03177i
\(695\) −0.777677 + 1.21997i −0.0294990 + 0.0462761i
\(696\) 0.622448 + 4.44568i 0.0235938 + 0.168513i
\(697\) 15.1216 + 7.05132i 0.572772 + 0.267088i
\(698\) 29.9668 20.9830i 1.13426 0.794217i
\(699\) 33.0575 + 1.17157i 1.25035 + 0.0443127i
\(700\) −49.2788 0.0270448i −1.86256 0.00102220i
\(701\) 20.6819i 0.781145i 0.920572 + 0.390573i \(0.127723\pi\)
−0.920572 + 0.390573i \(0.872277\pi\)
\(702\) 21.6966 17.5137i 0.818885 0.661012i
\(703\) −7.58374 + 7.58374i −0.286026 + 0.286026i
\(704\) 40.1712 33.7076i 1.51401 1.27040i
\(705\) −1.43380 + 0.396403i −0.0540000 + 0.0149294i
\(706\) −3.27913 + 18.5969i −0.123412 + 0.699903i
\(707\) −0.912998 + 1.95793i −0.0343368 + 0.0736355i
\(708\) −3.48177 0.429341i −0.130853 0.0161356i
\(709\) 18.9529 3.34191i 0.711791 0.125508i 0.193983 0.981005i \(-0.437859\pi\)
0.517808 + 0.855497i \(0.326748\pi\)
\(710\) −22.7480 35.7289i −0.853718 1.34088i
\(711\) 3.35578 + 32.2500i 0.125852 + 1.20947i
\(712\) −11.8986 + 3.18823i −0.445920 + 0.119484i
\(713\) 2.46608 + 5.28853i 0.0923554 + 0.198057i
\(714\) −24.5100 + 27.1927i −0.917264 + 1.01766i
\(715\) 22.1797 + 17.0288i 0.829475 + 0.636840i
\(716\) 22.0067 26.2266i 0.822430 0.980133i
\(717\) 1.96777 3.85701i 0.0734876 0.144043i
\(718\) 30.0223 13.9996i 1.12042 0.522461i
\(719\) 4.55209 7.88446i 0.169764 0.294041i −0.768573 0.639763i \(-0.779033\pi\)
0.938337 + 0.345722i \(0.112366\pi\)
\(720\) −20.0599 + 4.78812i −0.747588 + 0.178443i
\(721\) 7.16008 + 12.4016i 0.266655 + 0.461861i
\(722\) 5.00446 + 3.50416i 0.186247 + 0.130411i
\(723\) 34.1467 14.4735i 1.26993 0.538276i
\(724\) 17.5350 + 48.1769i 0.651682 + 1.79048i
\(725\) 15.8965 + 1.39955i 0.590381 + 0.0519781i
\(726\) 41.1079 21.8301i 1.52566 0.810191i
\(727\) −11.7425 1.02733i −0.435505 0.0381017i −0.132704 0.991156i \(-0.542366\pi\)
−0.302801 + 0.953054i \(0.597922\pi\)
\(728\) −6.07195 6.07195i −0.225042 0.225042i
\(729\) −5.69581 + 26.3924i −0.210956 + 0.977496i
\(730\) −42.5823 39.0410i −1.57604 1.44497i
\(731\) −2.05622 2.45051i −0.0760520 0.0906352i
\(732\) 9.67040 31.5719i 0.357428 1.16693i
\(733\) −25.9429 37.0503i −0.958222 1.36848i −0.929471 0.368896i \(-0.879736\pi\)
−0.0287512 0.999587i \(-0.509153\pi\)
\(734\) −42.6244 + 15.5140i −1.57330 + 0.572633i
\(735\) −36.6383 13.0070i −1.35143 0.479772i
\(736\) −5.21080 29.5519i −0.192072 1.08930i
\(737\) 38.3345 + 10.2717i 1.41207 + 0.378363i
\(738\) −8.14039 42.1119i −0.299652 1.55016i
\(739\) −36.6974 21.1872i −1.34994 0.779385i −0.361695 0.932296i \(-0.617802\pi\)
−0.988240 + 0.152911i \(0.951135\pi\)
\(740\) 3.68122 11.6642i 0.135324 0.428784i
\(741\) −19.7592 + 6.40883i −0.725873 + 0.235434i
\(742\) 0.189487 + 2.16584i 0.00695628 + 0.0795106i
\(743\) −1.02302 11.6932i −0.0375311 0.428982i −0.991595 0.129379i \(-0.958701\pi\)
0.954064 0.299603i \(-0.0968541\pi\)
\(744\) 1.63827 + 1.47665i 0.0600620 + 0.0541366i
\(745\) 37.0034 19.2498i 1.35570 0.705259i
\(746\) −44.0922 25.4566i −1.61433 0.932034i
\(747\) −8.68877 7.05097i −0.317905 0.257981i
\(748\) 27.5208 + 7.37418i 1.00626 + 0.269627i
\(749\) 4.12632 + 23.4015i 0.150772 + 0.855073i
\(750\) −0.299538 40.5622i −0.0109376 1.48112i
\(751\) 31.3803 11.4215i 1.14509 0.416777i 0.301338 0.953517i \(-0.402567\pi\)
0.843747 + 0.536741i \(0.180345\pi\)
\(752\) 0.677302 + 0.967287i 0.0246987 + 0.0352733i
\(753\) 26.6204 6.13127i 0.970103 0.223436i
\(754\) 11.0087 + 13.1197i 0.400913 + 0.477790i
\(755\) 17.9247 19.5506i 0.652348 0.711520i
\(756\) 50.9231 + 5.43239i 1.85205 + 0.197574i
\(757\) 16.3480 + 16.3480i 0.594177 + 0.594177i 0.938757 0.344580i \(-0.111979\pi\)
−0.344580 + 0.938757i \(0.611979\pi\)
\(758\) −38.6396 3.38053i −1.40345 0.122786i
\(759\) 1.11436 31.4434i 0.0404488 1.14132i
\(760\) −8.42771 1.11188i −0.305705 0.0403322i
\(761\) 5.25702 + 14.4435i 0.190567 + 0.523578i 0.997774 0.0666905i \(-0.0212440\pi\)
−0.807207 + 0.590269i \(0.799022\pi\)
\(762\) −20.9430 15.7987i −0.758684 0.572327i
\(763\) −34.9244 24.4543i −1.26435 0.885306i
\(764\) 14.1246 + 24.4645i 0.511010 + 0.885095i
\(765\) −12.2672 10.8819i −0.443523 0.393435i
\(766\) −2.47331 + 4.28391i −0.0893645 + 0.154784i
\(767\) −1.96952 + 0.918402i −0.0711152 + 0.0331616i
\(768\) 7.66589 + 11.8179i 0.276619 + 0.426440i
\(769\) −18.6937 + 22.2783i −0.674112 + 0.803376i −0.989337 0.145641i \(-0.953475\pi\)
0.315225 + 0.949017i \(0.397920\pi\)
\(770\) 12.2931 + 93.5738i 0.443013 + 3.37216i
\(771\) 2.