Properties

Label 570.2.bi.a.47.4
Level $570$
Weight $2$
Character 570.47
Analytic conductor $4.551$
Analytic rank $0$
Dimension $480$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.bi (of order \(36\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(480\)
Relative dimension: \(40\) over \(\Q(\zeta_{36})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label 47.4
Character \(\chi\) \(=\) 570.47
Dual form 570.2.bi.a.473.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.819152 - 0.573576i) q^{2} +(-1.56152 + 0.749446i) q^{3} +(0.342020 + 0.939693i) q^{4} +(2.02824 - 0.941402i) q^{5} +(1.70898 + 0.281738i) q^{6} +(5.01697 - 1.34429i) q^{7} +(0.258819 - 0.965926i) q^{8} +(1.87666 - 2.34054i) q^{9} +O(q^{10})\) \(q+(-0.819152 - 0.573576i) q^{2} +(-1.56152 + 0.749446i) q^{3} +(0.342020 + 0.939693i) q^{4} +(2.02824 - 0.941402i) q^{5} +(1.70898 + 0.281738i) q^{6} +(5.01697 - 1.34429i) q^{7} +(0.258819 - 0.965926i) q^{8} +(1.87666 - 2.34054i) q^{9} +(-2.20140 - 0.392200i) q^{10} +(-1.73942 + 1.00426i) q^{11} +(-1.23832 - 1.21102i) q^{12} +(-1.02434 + 0.0896181i) q^{13} +(-4.88071 - 1.77643i) q^{14} +(-2.46160 + 2.99007i) q^{15} +(-0.766044 + 0.642788i) q^{16} +(0.388500 + 0.272031i) q^{17} +(-2.87975 + 0.840853i) q^{18} +(-4.32037 - 0.578248i) q^{19} +(1.57833 + 1.58394i) q^{20} +(-6.82660 + 5.85908i) q^{21} +(2.00087 + 0.175053i) q^{22} +(5.18453 + 2.41759i) q^{23} +(0.319760 + 1.70228i) q^{24} +(3.22752 - 3.81878i) q^{25} +(0.890492 + 0.514126i) q^{26} +(-1.17632 + 5.06125i) q^{27} +(2.97912 + 4.25463i) q^{28} +(1.24611 - 7.06702i) q^{29} +(3.73146 - 1.03741i) q^{30} +(2.75367 - 4.76949i) q^{31} +(0.996195 - 0.0871557i) q^{32} +(1.96350 - 2.87177i) q^{33} +(-0.162210 - 0.445669i) q^{34} +(8.91010 - 7.44953i) q^{35} +(2.84125 + 0.962971i) q^{36} +(2.06560 + 2.06560i) q^{37} +(3.20737 + 2.95174i) q^{38} +(1.53236 - 0.907627i) q^{39} +(-0.384377 - 2.20278i) q^{40} +(-4.35503 - 5.19012i) q^{41} +(8.95265 - 0.883902i) q^{42} +(-4.07512 + 1.90026i) q^{43} +(-1.53861 - 1.29105i) q^{44} +(1.60293 - 6.51388i) q^{45} +(-2.86025 - 4.95409i) q^{46} +(4.58685 + 6.55070i) q^{47} +(0.714455 - 1.57783i) q^{48} +(17.3007 - 9.98854i) q^{49} +(-4.83420 + 1.27693i) q^{50} +(-0.810521 - 0.133620i) q^{51} +(-0.434558 - 0.931913i) q^{52} +(2.69681 + 1.25754i) q^{53} +(3.86660 - 3.47122i) q^{54} +(-2.58256 + 3.67437i) q^{55} -5.19395i q^{56} +(7.17970 - 2.33494i) q^{57} +(-5.07423 + 5.07423i) q^{58} +(1.86476 + 10.5756i) q^{59} +(-3.65166 - 1.29048i) q^{60} +(-7.08291 + 2.57797i) q^{61} +(-4.99134 + 2.32750i) q^{62} +(6.26877 - 14.2652i) q^{63} +(-0.866025 - 0.500000i) q^{64} +(-1.99324 + 1.14608i) q^{65} +(-3.25558 + 1.22620i) q^{66} +(11.1451 - 7.80390i) q^{67} +(-0.122750 + 0.458111i) q^{68} +(-9.90757 + 0.110429i) q^{69} +(-11.5716 + 0.991678i) q^{70} +(-3.08482 + 8.47548i) q^{71} +(-1.77508 - 2.41849i) q^{72} +(0.271616 - 3.10459i) q^{73} +(-0.507261 - 2.87682i) q^{74} +(-2.17786 + 8.38194i) q^{75} +(-0.934280 - 4.25760i) q^{76} +(-7.37662 + 7.37662i) q^{77} +(-1.77583 - 0.135440i) q^{78} +(-4.64590 - 5.53677i) q^{79} +(-0.948601 + 2.02488i) q^{80} +(-1.95629 - 8.78481i) q^{81} +(0.590500 + 6.74944i) q^{82} +(-0.322576 + 0.0864341i) q^{83} +(-7.84057 - 4.41098i) q^{84} +(1.04406 + 0.186009i) q^{85} +(4.42809 + 0.780792i) q^{86} +(3.35054 + 11.9692i) q^{87} +(0.519842 + 1.94008i) q^{88} +(5.13331 + 4.30736i) q^{89} +(-5.04925 + 4.41646i) q^{90} +(-5.01860 + 1.82662i) q^{91} +(-0.498574 + 5.69873i) q^{92} +(-0.725417 + 9.51136i) q^{93} -7.99693i q^{94} +(-9.30712 + 2.89438i) q^{95} +(-1.49025 + 0.882689i) q^{96} +(2.88854 - 4.12526i) q^{97} +(-19.9011 - 1.74112i) q^{98} +(-0.913801 + 5.95585i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 480q + O(q^{10}) \) \( 480q - 36q^{15} - 48q^{18} + 24q^{22} - 24q^{25} + 72q^{33} + 24q^{43} - 36q^{45} + 24q^{51} - 120q^{55} + 108q^{57} - 48q^{60} - 48q^{61} - 36q^{63} - 24q^{66} + 48q^{67} - 48q^{70} - 48q^{78} - 144q^{81} - 48q^{85} - 96q^{87} - 168q^{90} - 144q^{91} - 228q^{93} + 48q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{4}{9}\right)\) \(e\left(\frac{1}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.819152 0.573576i −0.579228 0.405580i
\(3\) −1.56152 + 0.749446i −0.901541 + 0.432693i
\(4\) 0.342020 + 0.939693i 0.171010 + 0.469846i
\(5\) 2.02824 0.941402i 0.907057 0.421008i
\(6\) 1.70898 + 0.281738i 0.697689 + 0.115019i
\(7\) 5.01697 1.34429i 1.89624 0.508095i 0.898648 0.438671i \(-0.144551\pi\)
0.997587 0.0694238i \(-0.0221161\pi\)
\(8\) 0.258819 0.965926i 0.0915064 0.341506i
\(9\) 1.87666 2.34054i 0.625554 0.780181i
\(10\) −2.20140 0.392200i −0.696145 0.124024i
\(11\) −1.73942 + 1.00426i −0.524456 + 0.302795i −0.738756 0.673973i \(-0.764586\pi\)
0.214300 + 0.976768i \(0.431253\pi\)
\(12\) −1.23832 1.21102i −0.357472 0.349591i
\(13\) −1.02434 + 0.0896181i −0.284101 + 0.0248556i −0.228315 0.973587i \(-0.573322\pi\)
−0.0557851 + 0.998443i \(0.517766\pi\)
\(14\) −4.88071 1.77643i −1.30443 0.474772i
\(15\) −2.46160 + 2.99007i −0.635582 + 0.772033i
\(16\) −0.766044 + 0.642788i −0.191511 + 0.160697i
\(17\) 0.388500 + 0.272031i 0.0942251 + 0.0659771i 0.619740 0.784808i \(-0.287238\pi\)
−0.525514 + 0.850785i \(0.676127\pi\)
\(18\) −2.87975 + 0.840853i −0.678764 + 0.198191i
\(19\) −4.32037 0.578248i −0.991162 0.132659i
\(20\) 1.57833 + 1.58394i 0.352925 + 0.354181i
\(21\) −6.82660 + 5.85908i −1.48969 + 1.27856i
\(22\) 2.00087 + 0.175053i 0.426587 + 0.0373215i
\(23\) 5.18453 + 2.41759i 1.08105 + 0.504101i 0.879754 0.475429i \(-0.157707\pi\)
0.201295 + 0.979531i \(0.435485\pi\)
\(24\) 0.319760 + 1.70228i 0.0652706 + 0.347476i
\(25\) 3.22752 3.81878i 0.645505 0.763756i
\(26\) 0.890492 + 0.514126i 0.174640 + 0.100828i
\(27\) −1.17632 + 5.06125i −0.226383 + 0.974038i
\(28\) 2.97912 + 4.25463i 0.563002 + 0.804050i
\(29\) 1.24611 7.06702i 0.231396 1.31231i −0.618676 0.785646i \(-0.712331\pi\)
0.850072 0.526666i \(-0.176558\pi\)
\(30\) 3.73146 1.03741i 0.681268 0.189404i
\(31\) 2.75367 4.76949i 0.494573 0.856626i −0.505407 0.862881i \(-0.668658\pi\)
0.999980 + 0.00625478i \(0.00199097\pi\)
\(32\) 0.996195 0.0871557i 0.176104 0.0154071i
\(33\) 1.96350 2.87177i 0.341802 0.499910i
\(34\) −0.162210 0.445669i −0.0278188 0.0764316i
\(35\) 8.91010 7.44953i 1.50608 1.25920i
\(36\) 2.84125 + 0.962971i 0.473541 + 0.160495i
\(37\) 2.06560 + 2.06560i 0.339583 + 0.339583i 0.856210 0.516627i \(-0.172813\pi\)
−0.516627 + 0.856210i \(0.672813\pi\)
\(38\) 3.20737 + 2.95174i 0.520305 + 0.478835i
\(39\) 1.53236 0.907627i 0.245374 0.145337i
\(40\) −0.384377 2.20278i −0.0607754 0.348291i
\(41\) −4.35503 5.19012i −0.680142 0.810561i 0.309984 0.950742i \(-0.399676\pi\)
−0.990126 + 0.140180i \(0.955232\pi\)
\(42\) 8.95265 0.883902i 1.38142 0.136389i
\(43\) −4.07512 + 1.90026i −0.621450 + 0.289787i −0.707729 0.706484i \(-0.750280\pi\)
0.0862786 + 0.996271i \(0.472502\pi\)
\(44\) −1.53861 1.29105i −0.231954 0.194633i
\(45\) 1.60293 6.51388i 0.238950 0.971032i
\(46\) −2.86025 4.95409i −0.421720 0.730441i
\(47\) 4.58685 + 6.55070i 0.669061 + 0.955518i 0.999930 + 0.0118414i \(0.00376933\pi\)
−0.330869 + 0.943677i \(0.607342\pi\)
\(48\) 0.714455 1.57783i 0.103123 0.227740i
\(49\) 17.3007 9.98854i 2.47152 1.42693i
\(50\) −4.83420 + 1.27693i −0.683658 + 0.180585i
\(51\) −0.810521 0.133620i −0.113496 0.0187106i
\(52\) −0.434558 0.931913i −0.0602624 0.129233i
\(53\) 2.69681 + 1.25754i 0.370435 + 0.172737i 0.598916 0.800812i \(-0.295598\pi\)
−0.228481 + 0.973548i \(0.573376\pi\)
\(54\) 3.86660 3.47122i 0.526178 0.472374i
\(55\) −2.58256 + 3.67437i −0.348232 + 0.495452i
\(56\) 5.19395i 0.694070i
\(57\) 7.17970 2.33494i 0.950974 0.309271i
\(58\) −5.07423 + 5.07423i −0.666279 + 0.666279i
\(59\) 1.86476 + 10.5756i 0.242771 + 1.37682i 0.825612 + 0.564238i \(0.190830\pi\)
−0.582841 + 0.812586i \(0.698059\pi\)
\(60\) −3.65166 1.29048i −0.471428 0.166600i
\(61\) −7.08291 + 2.57797i −0.906874 + 0.330075i −0.753004 0.658016i \(-0.771396\pi\)
−0.153870 + 0.988091i \(0.549174\pi\)
\(62\) −4.99134 + 2.32750i −0.633901 + 0.295593i
\(63\) 6.26877 14.2652i 0.789791 1.79725i
\(64\) −0.866025 0.500000i −0.108253 0.0625000i
\(65\) −1.99324 + 1.14608i −0.247231 + 0.142154i
\(66\) −3.25558 + 1.22620i −0.400735 + 0.150934i
\(67\) 11.1451 7.80390i 1.36159 0.953398i 0.361817 0.932249i \(-0.382157\pi\)
0.999776 0.0211488i \(-0.00673237\pi\)
\(68\) −0.122750 + 0.458111i −0.0148857 + 0.0555541i
\(69\) −9.90757 + 0.110429i −1.19273 + 0.0132940i
\(70\) −11.5716 + 0.991678i −1.38307 + 0.118528i
\(71\) −3.08482 + 8.47548i −0.366101 + 1.00585i 0.610729 + 0.791839i \(0.290876\pi\)
−0.976830 + 0.214015i \(0.931346\pi\)
\(72\) −1.77508 2.41849i −0.209195 0.285022i
\(73\) 0.271616 3.10459i 0.0317903 0.363364i −0.963592 0.267376i \(-0.913843\pi\)
0.995382 0.0959881i \(-0.0306011\pi\)
\(74\) −0.507261 2.87682i −0.0589679 0.334424i
\(75\) −2.17786 + 8.38194i −0.251477 + 0.967863i
\(76\) −0.934280 4.25760i −0.107169 0.488380i
\(77\) −7.37662 + 7.37662i −0.840643 + 0.840643i
\(78\) −1.77583 0.135440i −0.201073 0.0153355i
\(79\) −4.64590 5.53677i −0.522704 0.622935i 0.438514 0.898725i \(-0.355505\pi\)
−0.961218 + 0.275790i \(0.911061\pi\)
\(80\) −0.948601 + 2.02488i −0.106057 + 0.226389i
\(81\) −1.95629 8.78481i −0.217365 0.976090i
\(82\) 0.590500 + 6.74944i 0.0652098 + 0.745351i
\(83\) −0.322576 + 0.0864341i −0.0354074 + 0.00948738i −0.276479 0.961020i \(-0.589168\pi\)
0.241072 + 0.970507i \(0.422501\pi\)
\(84\) −7.84057 4.41098i −0.855476 0.481277i
\(85\) 1.04406 + 0.186009i 0.113244 + 0.0201755i
\(86\) 4.42809 + 0.780792i 0.477493 + 0.0841949i
\(87\) 3.35054 + 11.9692i 0.359215 + 1.28323i
\(88\) 0.519842 + 1.94008i 0.0554153 + 0.206813i
\(89\) 5.13331 + 4.30736i 0.544130 + 0.456579i 0.872948 0.487814i \(-0.162206\pi\)
−0.328817 + 0.944394i \(0.606650\pi\)
\(90\) −5.04925 + 4.41646i −0.532238 + 0.465535i
\(91\) −5.01860 + 1.82662i −0.526092 + 0.191482i
\(92\) −0.498574 + 5.69873i −0.0519799 + 0.594133i
\(93\) −0.725417 + 9.51136i −0.0752222 + 0.986282i
\(94\) 7.99693i 0.824820i
\(95\) −9.30712 + 2.89438i −0.954891 + 0.296958i
\(96\) −1.49025 + 0.882689i −0.152098 + 0.0900891i
\(97\) 2.88854 4.12526i 0.293287 0.418857i −0.645285 0.763942i \(-0.723261\pi\)
0.938571 + 0.345086i \(0.112150\pi\)
\(98\) −19.9011 1.74112i −2.01031 0.175879i
\(99\) −0.913801 + 5.95585i −0.0918405 + 0.598585i
\(100\) 4.69236 + 1.72678i 0.469236 + 0.172678i
\(101\) 3.02992 3.61092i 0.301488 0.359300i −0.593937 0.804512i \(-0.702427\pi\)
0.895425 + 0.445212i \(0.146872\pi\)
\(102\) 0.587299 + 0.574351i 0.0581512 + 0.0568692i
\(103\) 7.07384 + 1.89543i 0.697006 + 0.186762i 0.589889 0.807484i \(-0.299171\pi\)
0.107117 + 0.994246i \(0.465838\pi\)
\(104\) −0.178554 + 1.01263i −0.0175087 + 0.0992966i
\(105\) −8.33023 + 18.3102i −0.812947 + 1.78689i
\(106\) −1.48780 2.57694i −0.144508 0.250295i
\(107\) −2.01675 7.52661i −0.194967 0.727625i −0.992275 0.124054i \(-0.960410\pi\)
0.797309 0.603571i \(-0.206256\pi\)
\(108\) −5.15835 + 0.625668i −0.496362 + 0.0602049i
\(109\) 1.15879 3.18376i 0.110992 0.304949i −0.871744 0.489962i \(-0.837011\pi\)
0.982736 + 0.185013i \(0.0592328\pi\)
\(110\) 4.22304 1.52857i 0.402651 0.145744i
\(111\) −4.77353 1.67741i −0.453083 0.159213i
\(112\) −2.97912 + 4.25463i −0.281501 + 0.402025i
\(113\) −6.94000 6.94000i −0.652861 0.652861i 0.300820 0.953681i \(-0.402740\pi\)
−0.953681 + 0.300820i \(0.902740\pi\)
\(114\) −7.22053 2.20543i −0.676265 0.206557i
\(115\) 12.7914 + 0.0227182i 1.19280 + 0.00211848i
\(116\) 7.06702 1.24611i 0.656156 0.115698i
\(117\) −1.71258 + 2.56569i −0.158328 + 0.237198i
\(118\) 4.53839 9.73260i 0.417792 0.895958i
\(119\) 2.31478 + 0.842511i 0.212196 + 0.0772329i
\(120\) 2.25108 + 3.15161i 0.205494 + 0.287701i
\(121\) −3.48294 + 6.03262i −0.316631 + 0.548420i
\(122\) 7.28065 + 1.95084i 0.659159 + 0.176621i
\(123\) 10.6902 + 4.84060i 0.963900 + 0.436462i
\(124\) 5.42367 + 0.956339i 0.487060 + 0.0858818i
\(125\) 2.95118 10.7838i 0.263962 0.964533i
\(126\) −13.3173 + 8.08976i −1.18640 + 0.720693i
\(127\) 1.19705 + 13.6823i 0.106221 + 1.21411i 0.842977 + 0.537949i \(0.180801\pi\)
−0.736757 + 0.676158i \(0.763644\pi\)
\(128\) 0.422618 + 0.906308i 0.0373545 + 0.0801070i
\(129\) 4.93922 6.02137i 0.434874 0.530152i
\(130\) 2.29013 + 0.204460i 0.200858 + 0.0179323i
\(131\) −7.66555 + 1.35164i −0.669743 + 0.118094i −0.498172 0.867078i \(-0.665995\pi\)
−0.171570 + 0.985172i \(0.554884\pi\)
\(132\) 3.37013 + 0.862885i 0.293333 + 0.0751045i
\(133\) −22.4525 + 2.90679i −1.94688 + 0.252051i
\(134\) −13.6057 −1.17535
\(135\) 2.37881 + 11.3728i 0.204735 + 0.978817i
\(136\) 0.363313 0.304856i 0.0311538 0.0261411i
\(137\) 3.08927 6.62496i 0.263934 0.566009i −0.729022 0.684490i \(-0.760025\pi\)
0.992956 + 0.118481i \(0.0378026\pi\)
\(138\) 8.17915 + 5.59229i 0.696255 + 0.476048i
\(139\) −7.24953 + 8.63965i −0.614897 + 0.732806i −0.980184 0.198089i \(-0.936526\pi\)
0.365287 + 0.930895i \(0.380971\pi\)
\(140\) 10.0477 + 5.82486i 0.849186 + 0.492291i
\(141\) −12.0718 6.79142i −1.01663 0.571941i
\(142\) 7.38827 5.17333i 0.620010 0.434136i
\(143\) 1.69176 1.18458i 0.141472 0.0990598i
\(144\) 0.0668670 + 2.99925i 0.00557225 + 0.249938i
\(145\) −4.12551 15.5067i −0.342605 1.28776i
\(146\) −2.00321 + 2.38734i −0.165787 + 0.197577i
\(147\) −19.5294 + 28.5632i −1.61075 + 2.35585i
\(148\) −1.23455 + 2.64751i −0.101480 + 0.217624i
\(149\) −2.77212 + 2.32609i −0.227101 + 0.190561i −0.749237 0.662302i \(-0.769580\pi\)
0.522136 + 0.852862i \(0.325135\pi\)
\(150\) 6.59168 5.61692i 0.538208 0.458619i
\(151\) 2.56780 0.208964 0.104482 0.994527i \(-0.466681\pi\)
0.104482 + 0.994527i \(0.466681\pi\)
\(152\) −1.67674 + 4.02350i −0.136002 + 0.326349i
\(153\) 1.36578 0.398792i 0.110417 0.0322404i
\(154\) 10.2736 1.81152i 0.827872 0.145976i
\(155\) 1.09509 12.2660i 0.0879598 0.985228i
\(156\) 1.37699 + 1.12952i 0.110247 + 0.0904338i
\(157\) −7.93209 17.0104i −0.633050 1.35758i −0.917056 0.398757i \(-0.869442\pi\)
0.284007 0.958822i \(-0.408336\pi\)
\(158\) 0.629939 + 7.20023i 0.0501152 + 0.572820i
\(159\) −5.15357 + 0.0574411i −0.408704 + 0.00455537i
\(160\) 1.93847 1.11459i 0.153250 0.0881163i
\(161\) 29.2605 + 5.15942i 2.30605 + 0.406620i
\(162\) −3.43626 + 8.31818i −0.269978 + 0.653538i
\(163\) 8.64162 + 2.31552i 0.676864 + 0.181365i 0.580845 0.814014i \(-0.302722\pi\)
0.0960192 + 0.995379i \(0.469389\pi\)
\(164\) 3.38761 5.86752i 0.264528 0.458176i
\(165\) 1.27896 7.67308i 0.0995672 0.597348i
\(166\) 0.313816 + 0.114220i 0.0243568 + 0.00886516i
\(167\) −7.88090 + 16.9006i −0.609842 + 1.30781i 0.322614 + 0.946530i \(0.395438\pi\)
−0.932457 + 0.361281i \(0.882340\pi\)
\(168\) 3.89258 + 8.11043i 0.300319 + 0.625733i
\(169\) −11.7613 + 2.07383i −0.904712 + 0.159525i
\(170\) −0.748555 0.751219i −0.0574116 0.0576159i
\(171\) −9.46129 + 9.02685i −0.723523 + 0.690300i
\(172\) −3.17944 3.17944i −0.242430 0.242430i
\(173\) −11.8101 + 16.8665i −0.897904 + 1.28234i 0.0608634 + 0.998146i \(0.480615\pi\)
−0.958767 + 0.284193i \(0.908274\pi\)
\(174\) 4.12062 11.7263i 0.312384 0.888972i
\(175\) 11.0588 23.4974i 0.835968 1.77624i
\(176\) 0.686952 1.88739i 0.0517810 0.142267i
\(177\) −10.8377 15.1164i −0.814611 1.13622i
\(178\) −1.73436 6.47273i −0.129996 0.485152i
\(179\) 4.82440 + 8.35611i 0.360593 + 0.624565i 0.988059 0.154079i \(-0.0492410\pi\)
−0.627466 + 0.778644i \(0.715908\pi\)
\(180\) 6.66928 0.721620i 0.497099 0.0537863i
\(181\) −0.277264 + 1.57244i −0.0206088 + 0.116879i −0.993377 0.114903i \(-0.963344\pi\)
0.972768 + 0.231781i \(0.0744554\pi\)
\(182\) 5.15871 + 1.38227i 0.382389 + 0.102461i
\(183\) 9.12803 9.33380i 0.674763 0.689975i
\(184\) 3.67706 4.38215i 0.271077 0.323057i
\(185\) 6.13410 + 2.24498i 0.450988 + 0.165054i
\(186\) 6.04972 7.37517i 0.443587 0.540774i
\(187\) −0.948955 0.0830228i −0.0693945 0.00607123i
\(188\) −4.58685 + 6.55070i −0.334531 + 0.477759i
\(189\) 0.902228 + 26.9734i 0.0656274 + 1.96203i
\(190\) 9.28410 + 2.96741i 0.673539 + 0.215278i
\(191\) 5.24426i 0.379462i 0.981836 + 0.189731i \(0.0607615\pi\)
−0.981836 + 0.189731i \(0.939238\pi\)
\(192\) 1.72704 + 0.131718i 0.124638 + 0.00950594i
\(193\) −2.01421 + 23.0226i −0.144986 + 1.65720i 0.480522 + 0.876983i \(0.340447\pi\)
−0.625508 + 0.780217i \(0.715108\pi\)
\(194\) −4.73230 + 1.72242i −0.339760 + 0.123662i
\(195\) 2.25355 3.28345i 0.161380 0.235133i
\(196\) 15.3033 + 12.8410i 1.09309 + 0.917215i
\(197\) −2.35448 8.78705i −0.167750 0.626052i −0.997673 0.0681742i \(-0.978283\pi\)
0.829923 0.557877i \(-0.188384\pi\)
\(198\) 4.16468 4.35461i 0.295971 0.309469i
\(199\) −20.4573 3.60717i −1.45018 0.255705i −0.607584 0.794255i \(-0.707861\pi\)
−0.842594 + 0.538550i \(0.818972\pi\)
\(200\) −2.85332 4.10592i −0.201760 0.290332i
\(201\) −11.5547 + 20.5386i −0.815004 + 1.44868i
\(202\) −4.55310 + 1.22000i −0.320355 + 0.0858389i
\(203\) −3.24847 37.1301i −0.227998 2.60602i
\(204\) −0.151653 0.807342i −0.0106178 0.0565252i
\(205\) −13.7190 6.42699i −0.958180 0.448880i
\(206\) −4.70738 5.61003i −0.327978 0.390870i
\(207\) 15.3881 7.59763i 1.06954 0.528072i
\(208\) 0.727084 0.727084i 0.0504142 0.0504142i
\(209\) 8.09567 3.33295i 0.559989 0.230545i
\(210\) 17.3260 10.2208i 1.19561 0.705303i
\(211\) 2.25925 + 12.8129i 0.155533 + 0.882073i 0.958297 + 0.285776i \(0.0922512\pi\)
−0.802763 + 0.596298i \(0.796638\pi\)
\(212\) −0.259340 + 2.96428i −0.0178116 + 0.203587i
\(213\) −1.53492 15.5465i −0.105171 1.06523i
\(214\) −2.66506 + 7.32220i −0.182180 + 0.500535i
\(215\) −6.47642 + 7.69052i −0.441688 + 0.524489i
\(216\) 4.58434 + 2.44619i 0.311925 + 0.166442i
\(217\) 7.40347 27.6301i 0.502580 1.87565i
\(218\) −2.77536 + 1.94333i −0.187971 + 0.131619i
\(219\) 1.90259 + 5.05142i 0.128565 + 0.341343i
\(220\) −4.33607 1.17010i −0.292338 0.0788884i
\(221\) −0.422335 0.243835i −0.0284093 0.0164021i
\(222\) 2.94812 + 4.11204i 0.197865 + 0.275982i
\(223\) −23.4107 + 10.9166i −1.56770 + 0.731029i −0.995993 0.0894311i \(-0.971495\pi\)
−0.571704 + 0.820460i \(0.693717\pi\)
\(224\) 4.88071 1.77643i 0.326106 0.118693i
\(225\) −2.88106 14.7207i −0.192071 0.981381i
\(226\) 1.70430 + 9.66554i 0.113368 + 0.642942i
\(227\) 14.2770 14.2770i 0.947600 0.947600i −0.0510937 0.998694i \(-0.516271\pi\)
0.998694 + 0.0510937i \(0.0162707\pi\)
\(228\) 4.64973 + 5.94811i 0.307936 + 0.393923i
\(229\) 21.5586i 1.42463i 0.701859 + 0.712316i \(0.252354\pi\)
−0.701859 + 0.712316i \(0.747646\pi\)
\(230\) −10.4651 7.35545i −0.690046 0.485004i
\(231\) 5.99032 17.0471i 0.394134 1.12162i
\(232\) −6.50370 3.03273i −0.426989 0.199108i
\(233\) −1.28375 2.75301i −0.0841011 0.180355i 0.859760 0.510699i \(-0.170613\pi\)
−0.943861 + 0.330343i \(0.892835\pi\)
\(234\) 2.87449 1.11940i 0.187911 0.0731772i
\(235\) 15.4701 + 8.96833i 1.00916 + 0.585029i
\(236\) −9.30002 + 5.36937i −0.605380 + 0.349516i
\(237\) 11.4041 + 5.16389i 0.740779 + 0.335431i
\(238\) −1.41291 2.01785i −0.0915855 0.130798i
\(239\) 7.44555 + 12.8961i 0.481612 + 0.834177i 0.999777 0.0211037i \(-0.00671802\pi\)
−0.518165 + 0.855281i \(0.673385\pi\)
\(240\) −0.0362869 3.87281i −0.00234231 0.249989i
\(241\) 7.21184 + 6.05145i 0.464556 + 0.389808i 0.844804 0.535076i \(-0.179717\pi\)
−0.380248 + 0.924884i \(0.624161\pi\)
\(242\) 6.31323 2.94391i 0.405829 0.189241i
\(243\) 9.63852 + 12.2515i 0.618311 + 0.785933i
\(244\) −4.84500 5.77404i −0.310169 0.369645i
\(245\) 25.6867 36.5460i 1.64106 2.33484i
\(246\) −5.98042 10.0968i −0.381298 0.643749i
\(247\) 4.47735 + 0.205138i 0.284887 + 0.0130526i
\(248\) −3.89427 3.89427i −0.247287 0.247287i
\(249\) 0.438930 0.376722i 0.0278161 0.0238738i
\(250\) −8.60281 + 7.14085i −0.544089 + 0.451627i
\(251\) −8.45367 23.2263i −0.533591 1.46603i −0.854768 0.519010i \(-0.826301\pi\)
0.321177 0.947019i \(-0.395921\pi\)
\(252\) 15.5490 + 1.01173i 0.979492 + 0.0637328i
\(253\) −11.4460 + 1.00139i −0.719602 + 0.0629570i
\(254\) 6.86728 11.8945i 0.430891 0.746326i
\(255\) −1.76972 + 0.492013i −0.110824 + 0.0308110i
\(256\) 0.173648 0.984808i 0.0108530 0.0615505i
\(257\) −5.78193 8.25745i −0.360667 0.515086i 0.597279 0.802033i \(-0.296248\pi\)
−0.957946 + 0.286947i \(0.907359\pi\)
\(258\) −7.49969 + 2.09940i −0.466910 + 0.130703i
\(259\) 13.1398 + 7.58628i 0.816469 + 0.471389i
\(260\) −1.75869 1.48105i −0.109070 0.0918508i
\(261\) −14.2022 16.1790i −0.879091 1.00145i
\(262\) 7.05452 + 3.28958i 0.435830 + 0.203231i
\(263\) −28.7885 2.51866i −1.77517 0.155308i −0.848014 0.529975i \(-0.822201\pi\)
−0.927159 + 0.374667i \(0.877757\pi\)
\(264\) −2.26572 2.63986i −0.139446 0.162472i
\(265\) 6.65363 + 0.0118172i 0.408729 + 0.000725923i
\(266\) 20.0593 + 10.4971i 1.22991 + 0.643620i
\(267\) −11.2439 2.87887i −0.688114 0.176184i
\(268\) 11.1451 + 7.80390i 0.680797 + 0.476699i
\(269\) 16.3812 13.7455i 0.998782 0.838078i 0.0119670 0.999928i \(-0.496191\pi\)
0.986815 + 0.161851i \(0.0517463\pi\)
\(270\) 4.57458 10.6805i 0.278400 0.649995i
\(271\) −21.2278 7.72629i −1.28950 0.469339i −0.395936 0.918278i \(-0.629580\pi\)
−0.893562 + 0.448939i \(0.851802\pi\)
\(272\) −0.472466 + 0.0413354i −0.0286475 + 0.00250633i
\(273\) 6.46767 6.61347i 0.391441 0.400265i
\(274\) −6.33051 + 3.65492i −0.382440 + 0.220802i
\(275\) −1.77899 + 9.88374i −0.107277 + 0.596012i
\(276\) −3.49236 9.27230i −0.210215 0.558127i
\(277\) −5.32856 + 19.8865i −0.320162 + 1.19486i 0.598924 + 0.800806i \(0.295595\pi\)
−0.919086 + 0.394056i \(0.871072\pi\)
\(278\) 10.8940 2.91903i 0.653377 0.175072i
\(279\) −5.99551 15.3958i −0.358942 0.921723i
\(280\) −4.88959 10.5346i −0.292209 0.629561i
\(281\) −2.03613 5.59422i −0.121465 0.333723i 0.864026 0.503447i \(-0.167935\pi\)
−0.985492 + 0.169723i \(0.945713\pi\)
\(282\) 5.99327 + 12.4873i 0.356894 + 0.743610i
\(283\) −8.22111 5.75648i −0.488694 0.342187i 0.303117 0.952953i \(-0.401973\pi\)
−0.791811 + 0.610766i \(0.790862\pi\)
\(284\) −9.01942 −0.535204
\(285\) 12.3640 11.4948i 0.732382 0.680894i
\(286\) −2.06526 −0.122121
\(287\) −28.8261 20.1842i −1.70155 1.19144i
\(288\) 1.66553 2.49520i 0.0981422 0.147031i
\(289\) −5.73741 15.7634i −0.337495 0.927259i
\(290\) −5.51487 + 15.0686i −0.323844 + 0.884861i
\(291\) −1.41884 + 8.60646i −0.0831737 + 0.504520i
\(292\) 3.01025 0.806595i 0.176162 0.0472024i
\(293\) −7.75765 + 28.9519i −0.453207 + 1.69139i 0.240101 + 0.970748i \(0.422819\pi\)
−0.693308 + 0.720642i \(0.743847\pi\)
\(294\) 32.3807 12.1960i 1.88848 0.711285i
\(295\) 13.7381 + 19.6944i 0.799861 + 1.14665i
\(296\) 2.52984 1.46060i 0.147044 0.0848957i
\(297\) −3.03667 9.98499i −0.176206 0.579388i
\(298\) 3.60498 0.315395i 0.208831 0.0182703i
\(299\) −5.52737 2.01180i −0.319656 0.116345i
\(300\) −8.62132 + 0.820278i −0.497752 + 0.0473588i
\(301\) −17.8902 + 15.0117i −1.03118 + 0.865260i
\(302\) −2.10342 1.47283i −0.121038 0.0847517i
\(303\) −2.02508 + 7.90927i −0.116338 + 0.454376i
\(304\) 3.68129 2.33412i 0.211136 0.133871i
\(305\) −11.9390 + 11.8966i −0.683622 + 0.681198i
\(306\) −1.34752 0.456709i −0.0770327 0.0261083i
\(307\) 18.5328 + 1.62141i 1.05772 + 0.0925389i 0.602722 0.797951i \(-0.294083\pi\)
0.455003 + 0.890490i \(0.349638\pi\)
\(308\) −9.45470 4.40880i −0.538732 0.251215i
\(309\) −12.4664 + 2.34172i −0.709191 + 0.133216i
\(310\) −7.93253 + 9.41959i −0.450537 + 0.534997i
\(311\) 28.2558 + 16.3135i 1.60224 + 0.925053i 0.991038 + 0.133577i \(0.0426463\pi\)
0.611200 + 0.791476i \(0.290687\pi\)
\(312\) −0.480097 1.71505i −0.0271801 0.0970959i
\(313\) 9.55086 + 13.6400i 0.539846 + 0.770980i 0.992701 0.120604i \(-0.0384831\pi\)
−0.452854 + 0.891584i \(0.649594\pi\)
\(314\) −3.25919 + 18.4838i −0.183927 + 1.04310i
\(315\) −0.714727 34.8347i −0.0402703 1.96271i
\(316\) 3.61387 6.25940i 0.203296 0.352119i
\(317\) 15.7618 1.37898i 0.885270 0.0774510i 0.364555 0.931182i \(-0.381221\pi\)
0.520715 + 0.853731i \(0.325666\pi\)
\(318\) 4.25450 + 2.90891i 0.238581 + 0.163124i
\(319\) 4.92960 + 13.5440i 0.276004 + 0.758316i
\(320\) −2.22721 0.198842i −0.124505 0.0111156i
\(321\) 8.78998 + 10.2415i 0.490609 + 0.571624i
\(322\) −21.0095 21.0095i −1.17081 1.17081i
\(323\) −1.52116 1.39992i −0.0846399 0.0778938i
\(324\) 7.58593 4.84289i 0.421441 0.269050i
\(325\) −2.96385 + 4.20097i −0.164405 + 0.233028i
\(326\) −5.75068 6.85339i −0.318501 0.379574i
\(327\) 0.576583 + 5.83995i 0.0318851 + 0.322950i
\(328\) −6.14044 + 2.86333i −0.339049 + 0.158101i
\(329\) 31.8181 + 26.6986i 1.75419 + 1.47194i
\(330\) −5.44876 + 5.55184i −0.299945 + 0.305618i
\(331\) −14.1677 24.5392i −0.778727 1.34879i −0.932676 0.360716i \(-0.882532\pi\)
0.153949 0.988079i \(-0.450801\pi\)
\(332\) −0.191549 0.273561i −0.0105126 0.0150136i
\(333\) 8.71106 0.958197i 0.477363 0.0525089i
\(334\) 16.1495 9.32390i 0.883660 0.510181i
\(335\) 15.2584 26.3202i 0.833655 1.43803i
\(336\) 1.46333 8.87637i 0.0798313 0.484245i
\(337\) 11.0162 + 23.6244i 0.600092 + 1.28690i 0.938297 + 0.345830i \(0.112403\pi\)
−0.338205 + 0.941073i \(0.609820\pi\)
\(338\) 10.8238 + 5.04720i 0.588735 + 0.274532i
\(339\) 16.0381 + 5.63576i 0.871069 + 0.306093i
\(340\) 0.182299 + 1.04472i 0.00988656 + 0.0566577i
\(341\) 11.0616i 0.599017i
\(342\) 12.9278 1.96759i 0.699057 0.106395i
\(343\) 47.6606 47.6606i 2.57343 2.57343i
\(344\) 0.780792 + 4.42809i 0.0420975 + 0.238747i
\(345\) −19.9910 + 9.55099i −1.07628 + 0.514208i
\(346\) 19.3485 7.04228i 1.04018 0.378595i
\(347\) −4.23482 + 1.97473i −0.227337 + 0.106009i −0.532950 0.846147i \(-0.678917\pi\)
0.305613 + 0.952156i \(0.401139\pi\)
\(348\) −10.1014 + 7.24217i −0.541490 + 0.388221i
\(349\) −5.46529 3.15538i −0.292550 0.168904i 0.346541 0.938035i \(-0.387356\pi\)
−0.639091 + 0.769131i \(0.720689\pi\)
\(350\) −22.5364 + 12.9049i −1.20462 + 0.689796i
\(351\) 0.751374 5.28986i 0.0401054 0.282352i
\(352\) −1.64528 + 1.15204i −0.0876936 + 0.0614037i
\(353\) 1.67365 6.24613i 0.0890792 0.332448i −0.906976 0.421182i \(-0.861615\pi\)
0.996055 + 0.0887339i \(0.0282821\pi\)
\(354\) 0.207301 + 18.5989i 0.0110179 + 0.988519i
\(355\) 1.72207 + 20.0944i 0.0913982 + 1.06650i
\(356\) −2.29190 + 6.29694i −0.121470 + 0.333737i
\(357\) −4.24598 + 0.419209i −0.224721 + 0.0221869i
\(358\) 0.840949 9.61209i 0.0444455 0.508015i
\(359\) −4.92643 27.9392i −0.260007 1.47457i −0.782885 0.622167i \(-0.786253\pi\)
0.522878 0.852408i \(-0.324858\pi\)
\(360\) −5.87706 3.23422i −0.309748 0.170459i
\(361\) 18.3313 + 4.99649i 0.964803 + 0.262973i
\(362\) 1.12904 1.12904i 0.0593408 0.0593408i
\(363\) 0.917532 12.0303i 0.0481580 0.631427i
\(364\) −3.43293 4.09120i −0.179934 0.214437i
\(365\) −2.37176 6.55255i −0.124144 0.342976i
\(366\) −12.8309 + 2.41018i −0.670682 + 0.125982i
\(367\) −0.417665 4.77393i −0.0218019 0.249197i −0.999273 0.0381272i \(-0.987861\pi\)
0.977471 0.211070i \(-0.0676948\pi\)
\(368\) −5.52557 + 1.48057i −0.288040 + 0.0771802i
\(369\) −20.3206 + 0.453039i −1.05785 + 0.0235843i
\(370\) −3.73710 5.35735i −0.194282 0.278515i
\(371\) 15.2203 + 2.68375i 0.790199 + 0.139333i
\(372\) −9.18587 + 2.57141i −0.476265 + 0.133321i
\(373\) −0.924667 3.45090i −0.0478774 0.178681i 0.937847 0.347050i \(-0.112817\pi\)
−0.985724 + 0.168369i \(0.946150\pi\)
\(374\) 0.729719 + 0.612307i 0.0377328 + 0.0316616i
\(375\) 3.47356 + 19.0508i 0.179374 + 0.983781i
\(376\) 7.51466 2.73511i 0.387539 0.141053i
\(377\) −0.643103 + 7.35070i −0.0331215 + 0.378580i
\(378\) 14.7323 22.6129i 0.757746 1.16308i
\(379\) 5.56548i 0.285880i 0.989731 + 0.142940i \(0.0456555\pi\)
−0.989731 + 0.142940i \(0.954344\pi\)
\(380\) −5.90306 7.75590i −0.302820 0.397869i
\(381\) −12.1234 20.4680i −0.621098 1.04861i
\(382\) 3.00799 4.29585i 0.153902 0.219795i
\(383\) −7.74203 0.677340i −0.395599 0.0346105i −0.112379 0.993665i \(-0.535847\pi\)
−0.283220 + 0.959055i \(0.591403\pi\)
\(384\) −1.33915 1.09848i −0.0683384 0.0560568i
\(385\) −8.01719 + 21.9059i −0.408594 + 1.11643i
\(386\) 14.8551 17.7037i 0.756107 0.901093i
\(387\) −3.19998 + 13.1041i −0.162664 + 0.666121i
\(388\) 4.86442 + 1.30342i 0.246953 + 0.0661709i
\(389\) −1.17116 + 6.64197i −0.0593801 + 0.336761i −0.999996 0.00271068i \(-0.999137\pi\)
0.940616 + 0.339472i \(0.110248\pi\)
\(390\) −3.72931 + 1.39706i −0.188841 + 0.0707431i
\(391\) 1.35653 + 2.34958i 0.0686028 + 0.118824i
\(392\) −5.17045 19.2964i −0.261147 0.974614i
\(393\) 10.9569 7.85553i 0.552702 0.396259i
\(394\) −3.11137 + 8.54841i −0.156748 + 0.430663i
\(395\) −14.6353 6.85624i −0.736383 0.344975i
\(396\) −5.90920 + 1.17833i −0.296949 + 0.0592132i
\(397\) −11.4964 + 16.4185i −0.576986 + 0.824022i −0.996488 0.0837327i \(-0.973316\pi\)
0.419502 + 0.907754i \(0.362205\pi\)
\(398\) 14.6886 + 14.6886i 0.736274 + 0.736274i
\(399\) 32.8814 21.3659i 1.64613 1.06964i
\(400\) −0.0177604 + 4.99997i −0.000888022 + 0.249998i
\(401\) −1.10198 + 0.194309i −0.0550303 + 0.00970333i −0.201096 0.979572i \(-0.564450\pi\)
0.146065 + 0.989275i \(0.453339\pi\)
\(402\) 21.2455 10.1967i 1.05963 0.508567i
\(403\) −2.39326 + 5.13236i −0.119217 + 0.255661i
\(404\) 4.42945 + 1.61219i 0.220373 + 0.0802093i
\(405\) −12.2379 15.9761i −0.608105 0.793857i
\(406\) −18.6360 + 32.2785i −0.924888 + 1.60195i
\(407\) −5.66735 1.51856i −0.280920 0.0752723i
\(408\) −0.338846 + 0.748320i −0.0167754 + 0.0370474i
\(409\) −28.3757 5.00340i −1.40309 0.247402i −0.579677 0.814847i \(-0.696821\pi\)
−0.823412 + 0.567444i \(0.807932\pi\)
\(410\) 7.55162 + 13.1336i 0.372948 + 0.648622i
\(411\) 0.141109 + 12.6602i 0.00696041 + 0.624483i
\(412\) 0.638274 + 7.29551i 0.0314455 + 0.359424i
\(413\) 23.5721 + 50.5506i 1.15991 + 2.48743i
\(414\) −16.9630 2.60262i −0.833685 0.127912i
\(415\) −0.572894 + 0.478983i −0.0281222 + 0.0235124i
\(416\) −1.01263 + 0.178554i −0.0496483 + 0.00875433i
\(417\) 4.84530 18.9241i 0.237275 0.926716i
\(418\) −8.54328 1.91330i −0.417866 0.0935823i
\(419\) −3.06380 −0.149676 −0.0748381 0.997196i \(-0.523844\pi\)
−0.0748381 + 0.997196i \(0.523844\pi\)
\(420\) −20.0551 1.56540i −0.978587 0.0763836i
\(421\) 17.0546 14.3105i 0.831190 0.697451i −0.124374 0.992235i \(-0.539692\pi\)
0.955564 + 0.294784i \(0.0952477\pi\)
\(422\) 5.49848 11.7915i 0.267662 0.574003i
\(423\) 23.9402 + 1.55772i 1.16401 + 0.0757389i
\(424\) 1.91268 2.27944i 0.0928878 0.110699i
\(425\) 2.29272 0.605612i 0.111213 0.0293765i
\(426\) −7.65978 + 13.6153i −0.371117 + 0.659665i
\(427\) −32.0692 + 22.4551i −1.55194 + 1.08668i
\(428\) 6.38293 4.46938i 0.308531 0.216036i
\(429\) −1.75393 + 3.11763i −0.0846804 + 0.150521i
\(430\) 9.71627 2.58498i 0.468560 0.124659i
\(431\) 3.91974 4.67136i 0.188807 0.225012i −0.663334 0.748323i \(-0.730859\pi\)
0.852141 + 0.523312i \(0.175304\pi\)
\(432\) −2.35219 4.63327i −0.113170 0.222918i
\(433\) −1.31668 + 2.82364i −0.0632758 + 0.135695i −0.935403 0.353585i \(-0.884963\pi\)
0.872127 + 0.489280i \(0.162740\pi\)
\(434\) −21.9126 + 18.3868i −1.05184 + 0.882595i
\(435\) 18.0635 + 21.1221i 0.866078 + 1.01273i
\(436\) 3.38809 0.162260
\(437\) −21.0011 13.4428i −1.00462 0.643057i
\(438\) 1.33887 5.22916i 0.0639735 0.249859i
\(439\) 10.4965 1.85081i 0.500970 0.0883345i 0.0825476 0.996587i \(-0.473694\pi\)
0.418422 + 0.908253i \(0.362583\pi\)
\(440\) 2.88076 + 3.44556i 0.137335 + 0.164261i
\(441\) 9.08885 59.2380i 0.432802 2.82086i
\(442\) 0.206098 + 0.441979i 0.00980310 + 0.0210228i
\(443\) 0.323670 + 3.69956i 0.0153780 + 0.175772i 0.999999 + 0.00106988i \(0.000340555\pi\)
−0.984621 + 0.174702i \(0.944104\pi\)
\(444\) −0.0563910 5.05936i −0.00267620 0.240106i
\(445\) 14.4666 + 3.90385i 0.685781 + 0.185060i
\(446\) 25.4384 + 4.48548i 1.20454 + 0.212394i
\(447\) 2.58544 5.70978i 0.122287 0.270063i
\(448\) −5.01697 1.34429i −0.237029 0.0635118i
\(449\) −10.1794 + 17.6313i −0.480398 + 0.832073i −0.999747 0.0224886i \(-0.992841\pi\)
0.519349 + 0.854562i \(0.326174\pi\)
\(450\) −6.08343 + 13.7110i −0.286776 + 0.646343i
\(451\) 12.7875 + 4.65426i 0.602138 + 0.219160i
\(452\) 4.14785 8.89509i 0.195098 0.418390i
\(453\) −4.00965 + 1.92443i −0.188390 + 0.0904174i
\(454\) −19.8840 + 3.50609i −0.933204 + 0.164549i
\(455\) −8.45935 + 8.42935i −0.396580 + 0.395174i
\(456\) −0.397142 7.53938i −0.0185979 0.353064i
\(457\) 3.03439 + 3.03439i 0.141943 + 0.141943i 0.774507 0.632565i \(-0.217998\pi\)
−0.632565 + 0.774507i \(0.717998\pi\)
\(458\) 12.3655 17.6598i 0.577802 0.825187i
\(459\) −1.83382 + 1.64630i −0.0855953 + 0.0768427i
\(460\) 4.35357 + 12.0277i 0.202986 + 0.560797i
\(461\) −6.91142 + 18.9890i −0.321897 + 0.884405i 0.668195 + 0.743986i \(0.267067\pi\)
−0.990092 + 0.140419i \(0.955155\pi\)
\(462\) −14.6848 + 10.5282i −0.683198 + 0.489818i
\(463\) 4.56304 + 17.0295i 0.212063 + 0.791428i 0.987180 + 0.159611i \(0.0510240\pi\)
−0.775117 + 0.631817i \(0.782309\pi\)
\(464\) 3.58802 + 6.21463i 0.166570 + 0.288507i
\(465\) 7.48270 + 19.9742i 0.347002 + 0.926283i
\(466\) −0.527475 + 2.99146i −0.0244348 + 0.138577i
\(467\) −31.3342 8.39598i −1.44998 0.388520i −0.553960 0.832543i \(-0.686884\pi\)
−0.896015 + 0.444024i \(0.853551\pi\)
\(468\) −2.99670 0.731782i −0.138523 0.0338266i
\(469\) 45.4240 54.1342i 2.09748 2.49968i
\(470\) −7.52833 16.2197i −0.347256 0.748159i
\(471\) 25.1345 + 20.6174i 1.15814 + 0.949998i
\(472\) 10.6979 + 0.935942i 0.492409 + 0.0430802i
\(473\) 5.18002 7.39783i 0.238177 0.340153i
\(474\) −6.37984 10.7712i −0.293036 0.494736i
\(475\) −16.1523 + 14.6323i −0.741119 + 0.671374i
\(476\) 2.46334i 0.112907i
\(477\) 8.00433 3.95202i 0.366493 0.180950i
\(478\) 1.29784 14.8344i 0.0593620 0.678511i
\(479\) −34.6941 + 12.6276i −1.58522 + 0.576971i −0.976330 0.216287i \(-0.930605\pi\)
−0.608886 + 0.793258i \(0.708383\pi\)
\(480\) −2.19163 + 3.19324i −0.100034 + 0.145751i
\(481\) −2.30099 1.93076i −0.104916 0.0880351i
\(482\) −2.43662 9.09360i −0.110985 0.414202i
\(483\) −49.5575 + 13.8727i −2.25494 + 0.631229i
\(484\) −6.86005 1.20961i −0.311820 0.0549823i
\(485\) 1.97512 11.0863i 0.0896857 0.503403i
\(486\) −0.868250 15.5643i −0.0393846 0.706009i
\(487\) −29.3181 + 7.85577i −1.32853 + 0.355979i −0.852167 0.523270i \(-0.824712\pi\)
−0.476364 + 0.879248i \(0.658045\pi\)
\(488\) 0.656935 + 7.50880i 0.0297380 + 0.339907i
\(489\) −15.2294 + 2.86072i −0.688696 + 0.129366i
\(490\) −42.0032 + 15.2035i −1.89751 + 0.686824i
\(491\) 2.43882 + 2.90648i 0.110063 + 0.131168i 0.818263 0.574844i \(-0.194937\pi\)
−0.708201 + 0.706011i \(0.750493\pi\)
\(492\) −0.892421 + 11.7011i −0.0402334 + 0.527524i
\(493\) 2.40656 2.40656i 0.108386 0.108386i
\(494\) −3.54997 2.73614i −0.159721 0.123105i
\(495\) 3.75344 + 12.9401i 0.168705 + 0.581616i
\(496\) 0.956339 + 5.42367i 0.0429409 + 0.243530i
\(497\) −4.08293 + 46.6681i −0.183144 + 2.09335i
\(498\) −0.575630 + 0.0568324i −0.0257946 + 0.00254672i
\(499\) −3.62735 + 9.96606i −0.162382 + 0.446142i −0.994023 0.109172i \(-0.965180\pi\)
0.831640 + 0.555315i \(0.187402\pi\)
\(500\) 11.1428 0.915074i 0.498322 0.0409233i
\(501\) −0.359978 32.2969i −0.0160826 1.44292i
\(502\) −6.39720 + 23.8747i −0.285521 + 1.06558i
\(503\) 0.572012 0.400527i 0.0255048 0.0178586i −0.560755 0.827982i \(-0.689489\pi\)
0.586259 + 0.810123i \(0.300600\pi\)
\(504\) −12.1567 9.74727i −0.541501 0.434178i
\(505\) 2.74608 10.1762i 0.122199 0.452834i
\(506\) 9.95036 + 5.74485i 0.442348 + 0.255390i
\(507\) 16.8112 12.0527i 0.746610 0.535281i
\(508\) −12.4477 + 5.80448i −0.552279 + 0.257532i
\(509\) −14.6234 + 5.32249i −0.648172 + 0.235915i −0.645121 0.764080i \(-0.723193\pi\)
−0.00305028 + 0.999995i \(0.500971\pi\)
\(510\) 1.73188 + 0.612038i 0.0766889 + 0.0271015i
\(511\) −2.81078 15.9407i −0.124342 0.705177i
\(512\) −0.707107 + 0.707107i −0.0312500 + 0.0312500i
\(513\) 8.00881 21.1863i 0.353598 0.935398i
\(514\) 10.0805i 0.444631i
\(515\) 16.1318 2.81494i 0.710853 0.124041i
\(516\) 7.34755 + 2.58192i 0.323458 + 0.113663i
\(517\) −14.5571 6.78807i −0.640219 0.298539i
\(518\) −6.41220 13.7510i −0.281736 0.604185i
\(519\) 5.80105 35.1884i 0.254638 1.54460i
\(520\) 0.591142 + 2.22195i 0.0259233 + 0.0974389i
\(521\) 7.53899 4.35264i 0.330289 0.190693i −0.325680 0.945480i \(-0.605593\pi\)
0.655970 + 0.754787i \(0.272260\pi\)
\(522\) 2.35385 + 21.3991i 0.103025 + 0.936611i
\(523\) 10.3412 + 14.7688i 0.452190 + 0.645795i 0.978921 0.204237i \(-0.0654714\pi\)
−0.526731 + 0.850032i \(0.676583\pi\)
\(524\) −3.89190 6.74097i −0.170019 0.294481i
\(525\) 0.341551 + 44.9796i 0.0149065 + 1.96307i
\(526\) 22.1375 + 18.5756i 0.965240 + 0.809933i
\(527\) 2.36725 1.10387i 0.103119 0.0480852i
\(528\) 0.341808 + 3.46201i 0.0148753 + 0.150665i
\(529\) 6.25051 + 7.44906i 0.271761 + 0.323872i
\(530\) −5.44356 3.82605i −0.236453 0.166193i
\(531\) 28.2522 + 15.4822i 1.22604 + 0.671872i
\(532\) −10.4107 20.1043i −0.451361 0.871631i
\(533\) 4.92616 + 4.92616i 0.213376 + 0.213376i
\(534\) 7.55920 + 8.80746i 0.327119 + 0.381136i
\(535\) −11.1760 13.3672i −0.483182 0.577915i
\(536\) −4.65342 12.7852i −0.200997 0.552235i
\(537\) −13.7958 9.43257i −0.595334 0.407045i
\(538\) −21.3028 + 1.86376i −0.918430 + 0.0803522i
\(539\) −20.0621 + 34.7486i −0.864136 + 1.49673i
\(540\) −9.87336 + 6.12509i −0.424882 + 0.263582i
\(541\) −0.860461 + 4.87992i −0.0369941 + 0.209804i −0.997702 0.0677582i \(-0.978415\pi\)
0.960708 + 0.277562i \(0.0895265\pi\)
\(542\) 12.9572 + 18.5048i 0.556559 + 0.794848i
\(543\) −0.745508 2.66318i −0.0319928 0.114288i
\(544\) 0.410731 + 0.237136i 0.0176099 + 0.0101671i
\(545\) −0.646886 7.54833i −0.0277096 0.323335i
\(546\) −9.09134 + 1.70773i −0.389073 + 0.0730843i
\(547\) 1.15796 + 0.539967i 0.0495109 + 0.0230873i 0.447216 0.894426i \(-0.352416\pi\)
−0.397705 + 0.917513i \(0.630193\pi\)
\(548\) 7.28202 + 0.637094i 0.311073 + 0.0272153i
\(549\) −7.25838 + 21.4158i −0.309780 + 0.914006i
\(550\) 7.12635 7.07590i 0.303868 0.301717i
\(551\) −9.47013 + 29.8116i −0.403441 + 1.27002i
\(552\) −2.45760 + 9.59856i −0.104603 + 0.408542i
\(553\) −30.7513 21.5323i −1.30768 0.915648i
\(554\) 15.7713 13.2337i 0.670059 0.562246i
\(555\) −11.2610 + 1.09161i −0.478002 + 0.0463365i
\(556\) −10.5981 3.85739i −0.449460 0.163590i
\(557\) 41.8828 3.66427i 1.77463 0.155260i 0.847695 0.530484i \(-0.177990\pi\)
0.926934 + 0.375224i \(0.122434\pi\)
\(558\) −3.91944 + 16.0504i −0.165923 + 0.679467i
\(559\) 4.00401 2.31172i 0.169352 0.0977752i
\(560\) −2.03706 + 11.4340i −0.0860816 + 0.483174i
\(561\) 1.54403 0.581549i 0.0651890 0.0245530i
\(562\) −1.54081 + 5.75040i −0.0649953 + 0.242566i
\(563\) −36.4294 + 9.76122i −1.53532 + 0.411387i −0.924749 0.380578i \(-0.875725\pi\)
−0.610567 + 0.791965i \(0.709058\pi\)
\(564\) 2.25304 13.6666i 0.0948701 0.575469i
\(565\) −20.6093 7.54266i −0.867041 0.317322i
\(566\) 3.43256 + 9.43087i 0.144281 + 0.396409i
\(567\) −21.6240 41.4433i −0.908122 1.74045i
\(568\) 7.38827 + 5.17333i 0.310005 + 0.217068i
\(569\) −15.1286 −0.634222 −0.317111 0.948388i \(-0.602713\pi\)
−0.317111 + 0.948388i \(0.602713\pi\)
\(570\) −16.7212 + 2.32428i −0.700373 + 0.0973535i
\(571\) −44.7125 −1.87116 −0.935579 0.353116i \(-0.885122\pi\)
−0.935579 + 0.353116i \(0.885122\pi\)
\(572\) 1.69176 + 1.18458i 0.0707360 + 0.0495299i
\(573\) −3.93029 8.18900i −0.164190 0.342100i
\(574\) 12.0357 + 33.0679i 0.502362 + 1.38023i
\(575\) 25.9654 11.9958i 1.08283 0.500258i
\(576\) −2.79551 + 1.08864i −0.116479 + 0.0453600i
\(577\) −11.1307 + 2.98245i −0.463375 + 0.124161i −0.482951 0.875647i \(-0.660435\pi\)
0.0195757 + 0.999808i \(0.493768\pi\)
\(578\) −4.34171 + 16.2035i −0.180591 + 0.673976i
\(579\) −14.1089 37.4596i −0.586348 1.55677i
\(580\) 13.1605 9.18031i 0.546461 0.381192i
\(581\) −1.50216 + 0.867274i −0.0623202 + 0.0359806i
\(582\) 6.09871 6.23619i 0.252800 0.258498i
\(583\) −5.95379 + 0.520889i −0.246581 + 0.0215730i
\(584\) −2.92850 1.06589i −0.121182 0.0441067i
\(585\) −1.05818 + 6.81607i −0.0437503 + 0.281810i
\(586\) 22.9608 19.2664i 0.948503 0.795889i
\(587\) 9.75130 + 6.82793i 0.402479 + 0.281819i 0.757238 0.653139i \(-0.226548\pi\)
−0.354759 + 0.934958i \(0.615437\pi\)
\(588\) −33.5200 8.58242i −1.38234 0.353933i
\(589\) −14.6548 + 19.0137i −0.603842 + 0.783445i
\(590\) 0.0426474 24.0125i 0.00175577 0.988579i
\(591\) 10.2620 + 11.9566i 0.422122 + 0.491827i
\(592\) −2.91009 0.254600i −0.119604 0.0104640i
\(593\) −10.6864 4.98316i −0.438839 0.204634i 0.190626 0.981663i \(-0.438948\pi\)
−0.629465 + 0.777029i \(0.716726\pi\)
\(594\) −3.23966 + 9.92099i −0.132925 + 0.407063i
\(595\) 5.48808 0.470324i 0.224989 0.0192814i
\(596\) −3.13393 1.80938i −0.128371 0.0741149i
\(597\) 34.6477 9.69898i 1.41804 0.396953i
\(598\) 3.37384 + 4.81834i 0.137967 + 0.197037i
\(599\) −3.74830 + 21.2577i −0.153151 + 0.868564i 0.807305 + 0.590134i \(0.200925\pi\)
−0.960457 + 0.278430i \(0.910186\pi\)
\(600\) 7.53266 + 4.27305i 0.307520 + 0.174447i
\(601\) 8.57455 14.8516i 0.349763 0.605808i −0.636444 0.771323i \(-0.719595\pi\)
0.986207 + 0.165515i \(0.0529287\pi\)
\(602\) 23.2652 2.03544i 0.948218 0.0829584i
\(603\) 2.65025 40.7309i 0.107926 1.65869i
\(604\) 0.878238 + 2.41294i 0.0357350 + 0.0981811i
\(605\) −1.38511 + 15.5145i −0.0563127 + 0.630752i
\(606\) 6.19542 5.31736i 0.251672 0.216003i
\(607\) 7.56959 + 7.56959i 0.307240 + 0.307240i 0.843838 0.536598i \(-0.180291\pi\)
−0.536598 + 0.843838i \(0.680291\pi\)
\(608\) −4.35433 0.199502i −0.176591 0.00809088i
\(609\) 32.8996 + 55.5447i 1.33316 + 2.25079i
\(610\) 16.6034 2.89724i 0.672253 0.117306i
\(611\) −5.28555 6.29908i −0.213831 0.254833i
\(612\) 0.841867 + 1.14702i 0.0340305 + 0.0463656i
\(613\) 9.01082 4.20181i 0.363943 0.169710i −0.232040 0.972706i \(-0.574540\pi\)
0.595984 + 0.802997i \(0.296762\pi\)
\(614\) −14.2512 11.9582i −0.575132 0.482593i
\(615\) 26.2392 0.245852i 1.05807 0.00991370i
\(616\) 5.21606 + 9.03447i 0.210161 + 0.364009i
\(617\) −20.7698 29.6624i −0.836161 1.19416i −0.978887 0.204400i \(-0.934476\pi\)
0.142726 0.989762i \(-0.454413\pi\)
\(618\) 11.5551 + 5.23223i 0.464813 + 0.210471i
\(619\) 2.20645 1.27389i 0.0886846 0.0512021i −0.455002 0.890490i \(-0.650361\pi\)
0.543686 + 0.839288i \(0.317028\pi\)
\(620\) 11.9008 3.16617i 0.477948 0.127156i
\(621\) −18.3347 + 23.3963i −0.735746 + 0.938863i
\(622\) −13.7888 29.5701i −0.552879 1.18565i
\(623\) 31.5440 + 14.7092i 1.26378 + 0.589312i
\(624\) −0.590442 + 1.68026i −0.0236366 + 0.0672644i
\(625\) −4.16619 24.6504i −0.166648 0.986017i
\(626\) 16.6514i 0.665524i
\(627\) −10.1436 + 11.2717i −0.405098 + 0.450149i
\(628\) 13.2716 13.2716i 0.529596 0.529596i
\(629\) 0.240579 + 1.36439i 0.00959253 + 0.0544019i
\(630\) −19.3949 + 28.9449i −0.772711 + 1.15319i
\(631\) 33.4801 12.1857i 1.33282 0.485107i 0.425276 0.905064i \(-0.360177\pi\)
0.907544 + 0.419957i \(0.137955\pi\)
\(632\) −6.55055 + 3.05457i −0.260567 + 0.121504i
\(633\) −13.1304 18.3143i −0.521887 0.727927i
\(634\) −13.7022 7.91099i −0.544185 0.314186i
\(635\) 15.3084 + 26.6241i 0.607497 + 1.05654i
\(636\) −1.81660 4.82312i −0.0720329 0.191249i
\(637\) −16.8266 + 11.7821i −0.666693 + 0.466824i
\(638\) 3.73040 13.9221i 0.147688 0.551180i
\(639\) 14.0481 + 23.1258i 0.555733 + 0.914841i
\(640\) 1.71037 + 1.44036i 0.0676084 + 0.0569351i
\(641\) 5.52167 15.1707i 0.218093 0.599205i −0.781605 0.623773i \(-0.785599\pi\)
0.999698 + 0.0245681i \(0.00782106\pi\)
\(642\) −1.32606 13.4311i −0.0523354 0.530081i
\(643\) −0.232278 + 2.65494i −0.00916013 + 0.104701i −0.999398 0.0346849i \(-0.988957\pi\)
0.990238 + 0.139386i \(0.0445128\pi\)
\(644\) 5.15942 + 29.2605i 0.203310 + 1.15303i
\(645\) 4.34940 16.8626i 0.171258 0.663964i
\(646\) 0.443102 + 2.01925i 0.0174336 + 0.0794465i
\(647\) 29.0061 29.0061i 1.14035 1.14035i 0.151962 0.988386i \(-0.451441\pi\)
0.988386 0.151962i \(-0.0485591\pi\)
\(648\) −8.99180 0.384046i −0.353231 0.0150868i
\(649\) −13.8642 16.5227i −0.544218 0.648574i
\(650\) 4.83742 1.74124i 0.189739 0.0682971i
\(651\) 9.14666 + 48.6934i 0.358486 + 1.90844i
\(652\) 0.779736 + 8.91242i 0.0305368 + 0.349037i
\(653\) 39.3131 10.5339i 1.53844 0.412224i 0.612679 0.790332i \(-0.290092\pi\)
0.925761 + 0.378108i \(0.123425\pi\)
\(654\) 2.87735 5.11452i 0.112513 0.199994i
\(655\) −14.2751 + 9.95783i −0.557776 + 0.389085i
\(656\) 6.67229 + 1.17651i 0.260509 + 0.0459348i
\(657\) −6.75669 6.46198i −0.263603 0.252106i
\(658\) −10.7502 40.1203i −0.419087 1.56405i
\(659\) −19.0031 15.9455i −0.740255 0.621147i 0.192651 0.981267i \(-0.438291\pi\)
−0.932906 + 0.360120i \(0.882736\pi\)
\(660\) 7.64777 1.42251i 0.297689 0.0553713i
\(661\) 23.1942 8.44200i 0.902150 0.328356i 0.151036 0.988528i \(-0.451739\pi\)
0.751114 + 0.660172i \(0.229517\pi\)
\(662\) −2.46959 + 28.2276i −0.0959834 + 1.09710i
\(663\) 0.842223 + 0.0642350i 0.0327092 + 0.00249468i
\(664\) 0.333956i 0.0129600i
\(665\) −42.8026 + 27.0325i −1.65981 + 1.04828i
\(666\) −7.68529 4.21155i −0.297799 0.163194i
\(667\) 23.5456 33.6266i 0.911689 1.30203i
\(668\) −18.5768 1.62526i −0.718760 0.0628833i
\(669\) 28.3748 34.5915i 1.09703 1.33738i
\(670\) −27.5956 + 12.8084i −1.06611 + 0.494832i
\(671\) 9.73125 11.5972i 0.375671 0.447707i
\(672\) −6.28997 + 6.43176i −0.242641 + 0.248111i
\(673\) 10.3782 + 2.78083i 0.400050 + 0.107193i 0.453234 0.891392i \(-0.350270\pi\)
−0.0531840 + 0.998585i \(0.516937\pi\)
\(674\) 4.52642 25.6706i 0.174351 0.988795i
\(675\) 15.5312 + 20.8274i 0.597796 + 0.801648i
\(676\) −5.97135 10.3427i −0.229667 0.397795i
\(677\) 6.55482 + 24.4629i 0.251922 + 0.940186i 0.969777 + 0.243993i \(0.0784574\pi\)
−0.717855 + 0.696193i \(0.754876\pi\)
\(678\) −9.90509 13.8156i −0.380403 0.530585i
\(679\) 8.94615 24.5793i 0.343322 0.943268i
\(680\) 0.449894 0.960344i 0.0172526 0.0368275i
\(681\) −11.5939 + 32.9937i −0.444281 + 1.26432i
\(682\) 6.34465 9.06110i 0.242949 0.346967i
\(683\) −20.1067 20.1067i −0.769363 0.769363i 0.208631 0.977994i \(-0.433099\pi\)
−0.977994 + 0.208631i \(0.933099\pi\)
\(684\) −11.7184 5.80334i −0.448065 0.221896i
\(685\) 0.0290300 16.3453i 0.00110918 0.624521i
\(686\) −66.3782 + 11.7043i −2.53433 + 0.446871i
\(687\) −16.1570 33.6641i −0.616428 1.28436i
\(688\) 1.90026 4.07512i 0.0724468 0.155363i
\(689\) −2.87514 1.04647i −0.109534 0.0398672i
\(690\) 21.8539 + 3.64265i 0.831963 + 0.138673i
\(691\) −17.9155 + 31.0306i −0.681538 + 1.18046i 0.292974 + 0.956120i \(0.405355\pi\)
−0.974512 + 0.224338i \(0.927978\pi\)
\(692\) −19.8886 5.32915i −0.756053 0.202584i
\(693\) 3.42189 + 31.1087i 0.129987 + 1.18172i
\(694\) 4.60162 + 0.811390i 0.174675 + 0.0307999i
\(695\) −6.57040 + 24.3480i −0.249230 + 0.923573i
\(696\) 12.4285 0.138527i 0.471101 0.00525083i
\(697\) −0.280057 3.20107i −0.0106079 0.121249i
\(698\) 2.66705 + 5.71950i 0.100949 + 0.216486i
\(699\) 4.06782 + 3.33676i 0.153859 + 0.126208i
\(700\) 25.8627 + 2.35529i 0.977518 + 0.0890217i
\(701\) 38.0094 6.70208i 1.43559 0.253134i 0.598908 0.800818i \(-0.295601\pi\)
0.836685 + 0.547684i \(0.184490\pi\)
\(702\) −3.64963 + 3.90223i −0.137746 + 0.147280i
\(703\) −7.72974 10.1186i −0.291533 0.381630i
\(704\) 2.00851 0.0756987
\(705\) −30.8781 2.41019i −1.16294 0.0907729i
\(706\) −4.95360 + 4.15657i −0.186431 + 0.156434i
\(707\) 10.3469 22.1890i 0.389135 0.834502i
\(708\) 10.4981 15.3542i 0.394542 0.577047i
\(709\) −1.25167 + 1.49168i −0.0470075 + 0.0560213i −0.789036 0.614347i \(-0.789419\pi\)
0.742028 + 0.670368i \(0.233864\pi\)
\(710\) 10.1150 17.4481i 0.379610 0.654815i
\(711\) −21.6778 + 0.483297i −0.812982 + 0.0181250i
\(712\) 5.48919 3.84357i 0.205716 0.144044i
\(713\) 25.8071 18.0703i 0.966485 0.676740i
\(714\) 3.71855 + 2.09200i 0.139163 + 0.0782911i
\(715\) 2.31613 3.99525i 0.0866183 0.149414i
\(716\) −6.20213 + 7.39142i −0.231785 + 0.276230i
\(717\) −21.2912 14.5574i −0.795136 0.543655i
\(718\) −11.9898 + 25.7121i −0.447454 + 0.959568i
\(719\) 11.7772 9.88221i 0.439214 0.368544i −0.396201 0.918164i \(-0.629672\pi\)
0.835415 + 0.549620i \(0.185227\pi\)
\(720\) 2.95913 + 6.02026i 0.110280 + 0.224362i
\(721\) 38.0372 1.41658
\(722\) −12.1502 14.6073i −0.452184 0.543626i
\(723\) −15.7966 4.04455i −0.587483 0.150418i
\(724\) −1.57244 + 0.277264i −0.0584393 + 0.0103044i
\(725\) −22.9656 27.5676i −0.852920 1.02383i
\(726\) −7.65190 + 9.32838i −0.283989 + 0.346209i
\(727\) 0.966892 + 2.07351i 0.0358600 + 0.0769021i 0.923422 0.383787i \(-0.125380\pi\)
−0.887562 + 0.460689i \(0.847602\pi\)
\(728\) 0.465471 + 5.32036i 0.0172515 + 0.197186i
\(729\) −24.2325 11.9073i −0.897501 0.441012i
\(730\) −1.81555 + 6.72792i −0.0671967 + 0.249011i
\(731\) −2.10012 0.370307i −0.0776756 0.0136963i
\(732\) 11.8929 + 5.38519i 0.439573 + 0.199042i
\(733\) 13.0322 + 3.49197i 0.481356 + 0.128979i 0.491334 0.870971i \(-0.336509\pi\)
−0.00997799 + 0.999950i \(0.503176\pi\)
\(734\) −2.39608 + 4.15014i −0.0884410 + 0.153184i
\(735\) −12.7208 + 76.3180i −0.469215 + 2.81503i
\(736\) 5.37551 + 1.95652i 0.198144 + 0.0721184i
\(737\) −11.5490 + 24.7668i −0.425412 + 0.912299i
\(738\) 16.9055 + 11.2843i 0.622301 + 0.415382i
\(739\) 34.5427 6.09080i 1.27067 0.224054i 0.502657 0.864486i \(-0.332356\pi\)
0.768015 + 0.640432i \(0.221245\pi\)
\(740\) −0.0116011 + 6.53200i −0.000426467 + 0.240121i
\(741\) −7.14519 + 3.03521i −0.262485 + 0.111501i
\(742\) −10.9284 10.9284i −0.401194 0.401194i
\(743\) −5.94033 + 8.48367i −0.217930 + 0.311236i −0.913199 0.407513i \(-0.866396\pi\)
0.695270 + 0.718749i \(0.255285\pi\)
\(744\) 8.99952 + 3.16242i 0.329938 + 0.115940i
\(745\) −3.43275 + 7.32755i −0.125766 + 0.268461i
\(746\) −1.22191 + 3.35718i −0.0447375 + 0.122915i
\(747\) −0.403064 + 0.917212i −0.0147473 + 0.0335590i
\(748\) −0.246546 0.920122i −0.00901461 0.0336430i
\(749\) −20.2359 35.0497i −0.739405 1.28069i
\(750\) 8.08173 17.5979i 0.295103 0.642584i
\(751\) 6.13894 34.8157i 0.224013 1.27044i −0.640549 0.767917i \(-0.721293\pi\)
0.864563 0.502525i \(-0.167596\pi\)
\(752\) −7.72444 2.06976i −0.281681 0.0754763i
\(753\) 30.6074 + 29.9326i 1.11539 + 1.09080i
\(754\) 4.74299 5.65247i 0.172729 0.205851i
\(755\) 5.20811 2.41733i 0.189543 0.0879757i
\(756\) −25.0382 + 10.0733i −0.910629 + 0.366362i
\(757\) 20.4337 + 1.78772i 0.742675 + 0.0649756i 0.452212 0.891911i \(-0.350635\pi\)
0.290463 + 0.956886i \(0.406191\pi\)
\(758\) 3.19223 4.55898i 0.115947 0.165589i
\(759\) 17.1226 10.1418i 0.621510 0.368125i
\(760\) 0.386900 + 9.73911i 0.0140343 + 0.353275i
\(761\) 47.9556i 1.73839i 0.494470 + 0.869195i \(0.335362\pi\)
−0.494470 + 0.869195i \(0.664638\pi\)
\(762\) −1.80909 + 23.7201i −0.0655365 + 0.859287i
\(763\) 1.53373 17.5306i 0.0555247 0.634650i
\(764\) −4.92800 + 1.79364i −0.178289 + 0.0648918i
\(765\) 2.39471 2.09460i 0.0865810 0.0757303i
\(766\) 5.95340 + 4.99549i 0.215105 + 0.180494i
\(767\) −2.85791 10.6659i −0.103193 0.385122i
\(768\) 0.466906 + 1.66793i 0.0168480 + 0.0601863i
\(769\) 19.2286 + 3.39052i 0.693401 + 0.122265i 0.509232 0.860629i \(-0.329930\pi\)
0.184169 + 0.982895i \(0.441041\pi\)
\(770\) 19.1320 13.3458i 0.689470 0.480949i
\(771\) 15.2171 + 8.56089i 0.548030 + 0.308313i
\(772\) −22.3230 + 5.98144i −0.803423 + 0.215277i
\(773\) −0.0132693 0.151669i −0.000477265 0.00545516i 0.995952 0.0898830i \(-0.0286493\pi\)
−0.99643