Properties

Label 588.2.ba.b.187.5
Level $588$
Weight $2$
Character 588.187
Analytic conductor $4.695$
Analytic rank $0$
Dimension $336$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 588.ba (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.69520363885\)
Analytic rank: \(0\)
Dimension: \(336\)
Relative dimension: \(28\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 187.5
Character \(\chi\) \(=\) 588.187
Dual form 588.2.ba.b.283.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.25978 + 0.642609i) q^{2} +(-0.988831 - 0.149042i) q^{3} +(1.17411 - 1.61910i) q^{4} +(2.80567 - 1.10114i) q^{5} +(1.34149 - 0.447671i) q^{6} +(1.52632 - 2.16110i) q^{7} +(-0.438676 + 2.79420i) q^{8} +(0.955573 + 0.294755i) q^{9} +O(q^{10})\) \(q+(-1.25978 + 0.642609i) q^{2} +(-0.988831 - 0.149042i) q^{3} +(1.17411 - 1.61910i) q^{4} +(2.80567 - 1.10114i) q^{5} +(1.34149 - 0.447671i) q^{6} +(1.52632 - 2.16110i) q^{7} +(-0.438676 + 2.79420i) q^{8} +(0.955573 + 0.294755i) q^{9} +(-2.82693 + 3.19015i) q^{10} +(1.71367 + 5.55558i) q^{11} +(-1.40231 + 1.42602i) q^{12} +(0.363826 + 0.0830410i) q^{13} +(-0.534098 + 3.70334i) q^{14} +(-2.93845 + 0.670682i) q^{15} +(-1.24294 - 3.80199i) q^{16} +(3.94001 - 5.77893i) q^{17} +(-1.39323 + 0.242732i) q^{18} +(-1.74600 + 3.02417i) q^{19} +(1.51130 - 5.83551i) q^{20} +(-1.83137 + 1.90947i) q^{21} +(-5.72892 - 5.89761i) q^{22} +(-0.103798 - 0.152244i) q^{23} +(0.850230 - 2.69761i) q^{24} +(2.99400 - 2.77802i) q^{25} +(-0.511705 + 0.129184i) q^{26} +(-0.900969 - 0.433884i) q^{27} +(-1.70695 - 5.00862i) q^{28} +(-0.320214 + 0.154207i) q^{29} +(3.27082 - 2.73319i) q^{30} +(-4.31962 - 7.48180i) q^{31} +(4.00903 + 3.99095i) q^{32} +(-0.866513 - 5.74894i) q^{33} +(-1.24996 + 9.81209i) q^{34} +(1.90268 - 7.74402i) q^{35} +(1.59918 - 1.20109i) q^{36} +(-0.593000 + 7.91303i) q^{37} +(0.256230 - 4.93179i) q^{38} +(-0.347386 - 0.136339i) q^{39} +(1.84604 + 8.32265i) q^{40} +(5.81173 + 4.63470i) q^{41} +(1.08009 - 3.58238i) q^{42} +(4.58736 - 3.65830i) q^{43} +(11.0070 + 3.74825i) q^{44} +(3.00559 - 0.225238i) q^{45} +(0.228597 + 0.125093i) q^{46} +(5.05565 + 4.69095i) q^{47} +(0.662403 + 3.94477i) q^{48} +(-2.34067 - 6.59706i) q^{49} +(-1.98661 + 5.42368i) q^{50} +(-4.75731 + 5.12716i) q^{51} +(0.561622 - 0.491570i) q^{52} +(0.161590 + 2.15627i) q^{53} +(1.41384 - 0.0323711i) q^{54} +(10.9255 + 13.7001i) q^{55} +(5.36898 + 5.21288i) q^{56} +(2.17723 - 2.73016i) q^{57} +(0.304306 - 0.400040i) q^{58} +(3.14449 - 8.01204i) q^{59} +(-2.36416 + 5.54508i) q^{60} +(-1.57359 - 0.117924i) q^{61} +(10.2497 + 6.64962i) q^{62} +(2.09551 - 1.61519i) q^{63} +(-7.61513 - 2.45150i) q^{64} +(1.11222 - 0.167640i) q^{65} +(4.78594 + 6.68559i) q^{66} +(7.35040 - 4.24376i) q^{67} +(-4.73065 - 13.1643i) q^{68} +(0.0799481 + 0.166014i) q^{69} +(2.57941 + 10.9785i) q^{70} +(0.231302 - 0.480303i) q^{71} +(-1.24279 + 2.54076i) q^{72} +(-3.07021 - 3.30890i) q^{73} +(-4.33793 - 10.3498i) q^{74} +(-3.37460 + 2.30076i) q^{75} +(2.84642 + 6.37764i) q^{76} +(14.6218 + 4.77621i) q^{77} +(0.525244 - 0.0514758i) q^{78} +(-10.1632 - 5.86770i) q^{79} +(-7.67382 - 9.29845i) q^{80} +(0.826239 + 0.563320i) q^{81} +(-10.2998 - 2.10405i) q^{82} +(-2.46534 - 10.8014i) q^{83} +(0.941391 + 5.20709i) q^{84} +(4.69092 - 20.5523i) q^{85} +(-3.42822 + 7.55654i) q^{86} +(0.339621 - 0.104759i) q^{87} +(-16.2752 + 2.35124i) q^{88} +(-3.52899 + 11.4407i) q^{89} +(-3.64165 + 2.21517i) q^{90} +(0.734776 - 0.659516i) q^{91} +(-0.368368 - 0.0106916i) q^{92} +(3.15627 + 8.04204i) q^{93} +(-9.38347 - 2.66078i) q^{94} +(-1.56866 + 10.4074i) q^{95} +(-3.36943 - 4.54389i) q^{96} -11.7280i q^{97} +(7.18807 + 6.80674i) q^{98} +5.81387i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 336 q + 28 q^{3} - 2 q^{7} - 6 q^{8} + 28 q^{9} + O(q^{10}) \) \( 336 q + 28 q^{3} - 2 q^{7} - 6 q^{8} + 28 q^{9} - 23 q^{10} - 6 q^{11} - 30 q^{14} - 12 q^{16} + 6 q^{19} + 25 q^{20} + 4 q^{21} + 6 q^{22} + 15 q^{24} - 26 q^{25} - 12 q^{26} - 56 q^{27} + 36 q^{28} - 13 q^{30} - 2 q^{31} - 25 q^{32} + 6 q^{33} + 68 q^{34} + 12 q^{35} + 16 q^{37} + 82 q^{38} - 8 q^{39} - 19 q^{40} - 9 q^{42} - 11 q^{44} + 10 q^{46} - 4 q^{47} - 8 q^{48} - 4 q^{49} - 114 q^{50} - 8 q^{52} - 4 q^{53} - 41 q^{56} - 12 q^{57} - 33 q^{58} + 10 q^{59} + 17 q^{60} + 2 q^{61} + 16 q^{62} + 12 q^{63} + 84 q^{64} - 4 q^{65} + 15 q^{66} - 42 q^{67} + 10 q^{68} - 38 q^{70} - 28 q^{71} + 33 q^{72} + 18 q^{73} + 2 q^{74} - 54 q^{75} - 7 q^{76} - 8 q^{77} - 6 q^{78} + 6 q^{79} - 14 q^{80} + 28 q^{81} - 87 q^{82} - 10 q^{83} - 14 q^{84} + 24 q^{85} + 126 q^{86} - 244 q^{88} - 20 q^{90} + 34 q^{91} + 14 q^{92} - 2 q^{93} - 184 q^{94} + 24 q^{95} - 20 q^{96} - 122 q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(493\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{23}{42}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.25978 + 0.642609i −0.890801 + 0.454393i
\(3\) −0.988831 0.149042i −0.570902 0.0860496i
\(4\) 1.17411 1.61910i 0.587054 0.809548i
\(5\) 2.80567 1.10114i 1.25473 0.492446i 0.357462 0.933928i \(-0.383642\pi\)
0.897271 + 0.441481i \(0.145547\pi\)
\(6\) 1.34149 0.447671i 0.547660 0.182761i
\(7\) 1.52632 2.16110i 0.576896 0.816817i
\(8\) −0.438676 + 2.79420i −0.155095 + 0.987900i
\(9\) 0.955573 + 0.294755i 0.318524 + 0.0982517i
\(10\) −2.82693 + 3.19015i −0.893954 + 1.00881i
\(11\) 1.71367 + 5.55558i 0.516691 + 1.67507i 0.718404 + 0.695626i \(0.244873\pi\)
−0.201713 + 0.979445i \(0.564651\pi\)
\(12\) −1.40231 + 1.42602i −0.404811 + 0.411657i
\(13\) 0.363826 + 0.0830410i 0.100907 + 0.0230314i 0.272676 0.962106i \(-0.412091\pi\)
−0.171769 + 0.985137i \(0.554948\pi\)
\(14\) −0.534098 + 3.70334i −0.142744 + 0.989760i
\(15\) −2.93845 + 0.670682i −0.758704 + 0.173169i
\(16\) −1.24294 3.80199i −0.310736 0.950496i
\(17\) 3.94001 5.77893i 0.955592 1.40160i 0.0401294 0.999194i \(-0.487223\pi\)
0.915463 0.402402i \(-0.131825\pi\)
\(18\) −1.39323 + 0.242732i −0.328387 + 0.0572125i
\(19\) −1.74600 + 3.02417i −0.400561 + 0.693791i −0.993794 0.111239i \(-0.964518\pi\)
0.593233 + 0.805031i \(0.297851\pi\)
\(20\) 1.51130 5.83551i 0.337937 1.30486i
\(21\) −1.83137 + 1.90947i −0.399638 + 0.416681i
\(22\) −5.72892 5.89761i −1.22141 1.25737i
\(23\) −0.103798 0.152244i −0.0216434 0.0317451i 0.815265 0.579089i \(-0.196591\pi\)
−0.836908 + 0.547344i \(0.815639\pi\)
\(24\) 0.850230 2.69761i 0.173553 0.550648i
\(25\) 2.99400 2.77802i 0.598800 0.555605i
\(26\) −0.511705 + 0.129184i −0.100354 + 0.0253351i
\(27\) −0.900969 0.433884i −0.173392 0.0835010i
\(28\) −1.70695 5.00862i −0.322584 0.946541i
\(29\) −0.320214 + 0.154207i −0.0594623 + 0.0286355i −0.463379 0.886160i \(-0.653363\pi\)
0.403916 + 0.914796i \(0.367649\pi\)
\(30\) 3.27082 2.73319i 0.597168 0.499009i
\(31\) −4.31962 7.48180i −0.775827 1.34377i −0.934329 0.356413i \(-0.884000\pi\)
0.158502 0.987359i \(-0.449334\pi\)
\(32\) 4.00903 + 3.99095i 0.708703 + 0.705507i
\(33\) −0.866513 5.74894i −0.150841 1.00076i
\(34\) −1.24996 + 9.81209i −0.214367 + 1.68276i
\(35\) 1.90268 7.74402i 0.321612 1.30898i
\(36\) 1.59918 1.20109i 0.266530 0.200182i
\(37\) −0.593000 + 7.91303i −0.0974885 + 1.30089i 0.707122 + 0.707091i \(0.249993\pi\)
−0.804611 + 0.593803i \(0.797626\pi\)
\(38\) 0.256230 4.93179i 0.0415659 0.800042i
\(39\) −0.347386 0.136339i −0.0556263 0.0218317i
\(40\) 1.84604 + 8.32265i 0.291884 + 1.31593i
\(41\) 5.81173 + 4.63470i 0.907640 + 0.723819i 0.961522 0.274728i \(-0.0885879\pi\)
−0.0538814 + 0.998547i \(0.517159\pi\)
\(42\) 1.08009 3.58238i 0.166661 0.552772i
\(43\) 4.58736 3.65830i 0.699566 0.557885i −0.207829 0.978165i \(-0.566640\pi\)
0.907394 + 0.420280i \(0.138068\pi\)
\(44\) 11.0070 + 3.74825i 1.65938 + 0.565071i
\(45\) 3.00559 0.225238i 0.448047 0.0335765i
\(46\) 0.228597 + 0.125093i 0.0337047 + 0.0184439i
\(47\) 5.05565 + 4.69095i 0.737442 + 0.684246i 0.956587 0.291446i \(-0.0941364\pi\)
−0.219145 + 0.975692i \(0.570327\pi\)
\(48\) 0.662403 + 3.94477i 0.0956097 + 0.569379i
\(49\) −2.34067 6.59706i −0.334381 0.942438i
\(50\) −1.98661 + 5.42368i −0.280948 + 0.767024i
\(51\) −4.75731 + 5.12716i −0.666156 + 0.717946i
\(52\) 0.561622 0.491570i 0.0778830 0.0681686i
\(53\) 0.161590 + 2.15627i 0.0221961 + 0.296186i 0.997244 + 0.0741915i \(0.0236376\pi\)
−0.975048 + 0.221994i \(0.928743\pi\)
\(54\) 1.41384 0.0323711i 0.192400 0.00440515i
\(55\) 10.9255 + 13.7001i 1.47319 + 1.84732i
\(56\) 5.36898 + 5.21288i 0.717460 + 0.696600i
\(57\) 2.17723 2.73016i 0.288381 0.361619i
\(58\) 0.304306 0.400040i 0.0399573 0.0525278i
\(59\) 3.14449 8.01204i 0.409378 1.04308i −0.566364 0.824155i \(-0.691650\pi\)
0.975742 0.218923i \(-0.0702544\pi\)
\(60\) −2.36416 + 5.54508i −0.305211 + 0.715867i
\(61\) −1.57359 0.117924i −0.201477 0.0150986i −0.0263908 0.999652i \(-0.508401\pi\)
−0.175086 + 0.984553i \(0.556020\pi\)
\(62\) 10.2497 + 6.64962i 1.30171 + 0.844503i
\(63\) 2.09551 1.61519i 0.264009 0.203495i
\(64\) −7.61513 2.45150i −0.951891 0.306437i
\(65\) 1.11222 0.167640i 0.137953 0.0207931i
\(66\) 4.78594 + 6.68559i 0.589108 + 0.822939i
\(67\) 7.35040 4.24376i 0.897995 0.518457i 0.0214456 0.999770i \(-0.493173\pi\)
0.876549 + 0.481313i \(0.159840\pi\)
\(68\) −4.73065 13.1643i −0.573675 1.59641i
\(69\) 0.0799481 + 0.166014i 0.00962462 + 0.0199857i
\(70\) 2.57941 + 10.9785i 0.308298 + 1.31218i
\(71\) 0.231302 0.480303i 0.0274505 0.0570015i −0.886793 0.462167i \(-0.847072\pi\)
0.914243 + 0.405166i \(0.132786\pi\)
\(72\) −1.24279 + 2.54076i −0.146464 + 0.299432i
\(73\) −3.07021 3.30890i −0.359341 0.387278i 0.527344 0.849652i \(-0.323188\pi\)
−0.886685 + 0.462374i \(0.846998\pi\)
\(74\) −4.33793 10.3498i −0.504274 1.20314i
\(75\) −3.37460 + 2.30076i −0.389665 + 0.265669i
\(76\) 2.84642 + 6.37764i 0.326507 + 0.731566i
\(77\) 14.6218 + 4.77621i 1.66630 + 0.544300i
\(78\) 0.525244 0.0514758i 0.0594721 0.00582849i
\(79\) −10.1632 5.86770i −1.14344 0.660168i −0.196163 0.980571i \(-0.562848\pi\)
−0.947281 + 0.320404i \(0.896181\pi\)
\(80\) −7.67382 9.29845i −0.857959 1.03960i
\(81\) 0.826239 + 0.563320i 0.0918043 + 0.0625911i
\(82\) −10.2998 2.10405i −1.13743 0.232353i
\(83\) −2.46534 10.8014i −0.270607 1.18561i −0.909299 0.416143i \(-0.863382\pi\)
0.638693 0.769462i \(-0.279476\pi\)
\(84\) 0.941391 + 5.20709i 0.102714 + 0.568140i
\(85\) 4.69092 20.5523i 0.508802 2.22921i
\(86\) −3.42822 + 7.55654i −0.369675 + 0.814842i
\(87\) 0.339621 0.104759i 0.0364112 0.0112314i
\(88\) −16.2752 + 2.35124i −1.73494 + 0.250643i
\(89\) −3.52899 + 11.4407i −0.374072 + 1.21271i 0.551510 + 0.834168i \(0.314052\pi\)
−0.925583 + 0.378545i \(0.876425\pi\)
\(90\) −3.64165 + 2.21517i −0.383864 + 0.233499i
\(91\) 0.734776 0.659516i 0.0770255 0.0691361i
\(92\) −0.368368 0.0106916i −0.0384050 0.00111468i
\(93\) 3.15627 + 8.04204i 0.327290 + 0.833921i
\(94\) −9.38347 2.66078i −0.967831 0.274439i
\(95\) −1.56866 + 10.4074i −0.160942 + 1.06778i
\(96\) −3.36943 4.54389i −0.343891 0.463759i
\(97\) 11.7280i 1.19080i −0.803429 0.595401i \(-0.796993\pi\)
0.803429 0.595401i \(-0.203007\pi\)
\(98\) 7.18807 + 6.80674i 0.726105 + 0.687584i
\(99\) 5.81387i 0.584316i
\(100\) −0.982612 8.10927i −0.0982612 0.810927i
\(101\) −1.42021 + 9.42248i −0.141316 + 0.937572i 0.799989 + 0.600015i \(0.204839\pi\)
−0.941305 + 0.337557i \(0.890399\pi\)
\(102\) 2.69842 9.51619i 0.267183 0.942244i
\(103\) 3.50806 + 8.93839i 0.345659 + 0.880726i 0.992956 + 0.118487i \(0.0378045\pi\)
−0.647296 + 0.762239i \(0.724100\pi\)
\(104\) −0.391635 + 0.980176i −0.0384030 + 0.0961141i
\(105\) −3.03562 + 7.37395i −0.296246 + 0.719623i
\(106\) −1.58920 2.61259i −0.154357 0.253757i
\(107\) −0.354707 + 1.14993i −0.0342908 + 0.111168i −0.971100 0.238672i \(-0.923288\pi\)
0.936809 + 0.349840i \(0.113764\pi\)
\(108\) −1.76033 + 0.949329i −0.169388 + 0.0913492i
\(109\) 5.08269 1.56780i 0.486834 0.150168i −0.0416147 0.999134i \(-0.513250\pi\)
0.528448 + 0.848965i \(0.322774\pi\)
\(110\) −22.5676 10.2384i −2.15173 0.976190i
\(111\) 1.76575 7.73627i 0.167598 0.734294i
\(112\) −10.1136 3.11694i −0.955644 0.294523i
\(113\) 1.57815 + 6.91431i 0.148460 + 0.650444i 0.993314 + 0.115447i \(0.0368301\pi\)
−0.844854 + 0.534997i \(0.820313\pi\)
\(114\) −0.988413 + 4.83852i −0.0925734 + 0.453169i
\(115\) −0.458866 0.312849i −0.0427895 0.0291734i
\(116\) −0.126290 + 0.699513i −0.0117257 + 0.0649481i
\(117\) 0.323186 + 0.186591i 0.0298785 + 0.0172504i
\(118\) 1.18723 + 12.1141i 0.109293 + 1.11519i
\(119\) −6.47509 17.3353i −0.593571 1.58912i
\(120\) −0.584994 8.50483i −0.0534024 0.776381i
\(121\) −18.8392 + 12.8443i −1.71265 + 1.16767i
\(122\) 2.05816 0.862643i 0.186337 0.0781000i
\(123\) −5.05606 5.44913i −0.455889 0.491332i
\(124\) −17.1855 1.79056i −1.54330 0.160797i
\(125\) −1.19750 + 2.48664i −0.107108 + 0.222411i
\(126\) −1.60195 + 3.38138i −0.142713 + 0.301238i
\(127\) 2.72901 + 5.66685i 0.242160 + 0.502851i 0.986257 0.165221i \(-0.0528338\pi\)
−0.744096 + 0.668073i \(0.767120\pi\)
\(128\) 11.1688 1.80519i 0.987189 0.159558i
\(129\) −5.08136 + 2.93373i −0.447389 + 0.258300i
\(130\) −1.29342 + 0.925909i −0.113441 + 0.0812076i
\(131\) −10.4689 + 1.57793i −0.914672 + 0.137865i −0.589480 0.807783i \(-0.700667\pi\)
−0.325192 + 0.945648i \(0.605429\pi\)
\(132\) −10.3255 5.34690i −0.898716 0.465388i
\(133\) 3.87055 + 8.38914i 0.335619 + 0.727431i
\(134\) −6.53284 + 10.0696i −0.564351 + 0.869885i
\(135\) −3.00559 0.225238i −0.258680 0.0193854i
\(136\) 14.4191 + 13.5443i 1.23643 + 1.16141i
\(137\) 7.44129 18.9601i 0.635753 1.61987i −0.140959 0.990015i \(-0.545019\pi\)
0.776712 0.629856i \(-0.216886\pi\)
\(138\) −0.207399 0.157766i −0.0176550 0.0134299i
\(139\) 12.6693 15.8869i 1.07460 1.34751i 0.140667 0.990057i \(-0.455075\pi\)
0.933933 0.357448i \(-0.116353\pi\)
\(140\) −10.3044 12.1729i −0.870877 1.02880i
\(141\) −4.30003 5.39207i −0.362128 0.454094i
\(142\) 0.0172569 + 0.753714i 0.00144817 + 0.0632503i
\(143\) 0.162137 + 2.16357i 0.0135586 + 0.180927i
\(144\) −0.0670672 3.99944i −0.00558893 0.333286i
\(145\) −0.728610 + 0.785255i −0.0605078 + 0.0652119i
\(146\) 5.99413 + 2.19555i 0.496078 + 0.181705i
\(147\) 1.33129 + 6.87224i 0.109803 + 0.566813i
\(148\) 12.1157 + 10.2509i 0.995905 + 0.842616i
\(149\) −8.51380 7.89965i −0.697477 0.647164i 0.249533 0.968366i \(-0.419723\pi\)
−0.947011 + 0.321202i \(0.895913\pi\)
\(150\) 2.77277 5.06701i 0.226396 0.413720i
\(151\) −13.5447 + 1.01503i −1.10225 + 0.0826021i −0.613404 0.789769i \(-0.710200\pi\)
−0.488844 + 0.872371i \(0.662581\pi\)
\(152\) −7.68420 6.20531i −0.623271 0.503318i
\(153\) 5.46833 4.36085i 0.442089 0.352554i
\(154\) −21.4895 + 3.37908i −1.73167 + 0.272294i
\(155\) −20.3580 16.2349i −1.63519 1.30402i
\(156\) −0.628614 + 0.402375i −0.0503294 + 0.0322157i
\(157\) 9.34604 + 3.66805i 0.745896 + 0.292742i 0.707686 0.706527i \(-0.249739\pi\)
0.0382098 + 0.999270i \(0.487834\pi\)
\(158\) 16.5740 + 0.861096i 1.31856 + 0.0685052i
\(159\) 0.161590 2.15627i 0.0128149 0.171003i
\(160\) 15.6426 + 6.78277i 1.23666 + 0.536225i
\(161\) −0.487444 0.00805580i −0.0384159 0.000634886i
\(162\) −1.40288 0.178713i −0.110220 0.0140410i
\(163\) 0.847575 + 5.62329i 0.0663872 + 0.440450i 0.997189 + 0.0749261i \(0.0238721\pi\)
−0.930802 + 0.365524i \(0.880890\pi\)
\(164\) 14.3276 3.96811i 1.11880 0.309858i
\(165\) −8.76156 15.1755i −0.682086 1.18141i
\(166\) 10.0469 + 12.0231i 0.779787 + 0.933177i
\(167\) −13.4490 + 6.47670i −1.04071 + 0.501182i −0.874560 0.484918i \(-0.838850\pi\)
−0.166155 + 0.986100i \(0.553135\pi\)
\(168\) −4.53207 5.95486i −0.349657 0.459427i
\(169\) −11.5871 5.58006i −0.891317 0.429236i
\(170\) 7.29753 + 28.9058i 0.559695 + 2.21698i
\(171\) −2.55982 + 2.37517i −0.195755 + 0.181634i
\(172\) −0.537080 11.7226i −0.0409519 0.893840i
\(173\) −1.61037 2.36198i −0.122434 0.179578i 0.760129 0.649773i \(-0.225136\pi\)
−0.882563 + 0.470195i \(0.844184\pi\)
\(174\) −0.360530 + 0.350217i −0.0273317 + 0.0265499i
\(175\) −1.43377 10.7105i −0.108383 0.809636i
\(176\) 18.9922 13.4206i 1.43159 1.01162i
\(177\) −4.30350 + 7.45388i −0.323471 + 0.560268i
\(178\) −2.90614 16.6806i −0.217824 1.25026i
\(179\) −7.76352 + 11.3870i −0.580273 + 0.851104i −0.998357 0.0573046i \(-0.981749\pi\)
0.418084 + 0.908408i \(0.362702\pi\)
\(180\) 3.16420 5.13079i 0.235846 0.382426i
\(181\) −1.78007 + 0.406288i −0.132311 + 0.0301992i −0.288164 0.957581i \(-0.593045\pi\)
0.155852 + 0.987780i \(0.450188\pi\)
\(182\) −0.501848 + 1.30302i −0.0371994 + 0.0965863i
\(183\) 1.53844 + 0.351138i 0.113724 + 0.0259569i
\(184\) 0.470934 0.223247i 0.0347177 0.0164580i
\(185\) 7.04962 + 22.8543i 0.518299 + 1.68028i
\(186\) −9.14410 8.10298i −0.670478 0.594140i
\(187\) 38.8572 + 11.9859i 2.84152 + 0.876493i
\(188\) 13.5310 2.67789i 0.986848 0.195305i
\(189\) −2.31283 + 1.28483i −0.168234 + 0.0934578i
\(190\) −4.71172 14.1191i −0.341824 1.02431i
\(191\) −15.1266 + 5.93674i −1.09452 + 0.429567i −0.842797 0.538232i \(-0.819092\pi\)
−0.251723 + 0.967799i \(0.580997\pi\)
\(192\) 7.16470 + 3.55909i 0.517067 + 0.256855i
\(193\) 11.7874 + 1.77666i 0.848475 + 0.127887i 0.558866 0.829258i \(-0.311237\pi\)
0.289609 + 0.957145i \(0.406475\pi\)
\(194\) 7.53654 + 14.7748i 0.541092 + 1.06077i
\(195\) −1.12478 −0.0805471
\(196\) −13.4295 3.95589i −0.959248 0.282564i
\(197\) −20.1629 −1.43655 −0.718275 0.695759i \(-0.755068\pi\)
−0.718275 + 0.695759i \(0.755068\pi\)
\(198\) −3.73605 7.32422i −0.265509 0.520510i
\(199\) 6.01407 + 0.906476i 0.426326 + 0.0642584i 0.358701 0.933452i \(-0.383220\pi\)
0.0676251 + 0.997711i \(0.478458\pi\)
\(200\) 6.44897 + 9.58449i 0.456011 + 0.677726i
\(201\) −7.90080 + 3.10084i −0.557280 + 0.218716i
\(202\) −4.26581 12.7829i −0.300142 0.899404i
\(203\) −0.155494 + 0.927383i −0.0109136 + 0.0650895i
\(204\) 2.71577 + 13.7224i 0.190142 + 0.960758i
\(205\) 21.4093 + 6.60389i 1.49529 + 0.461235i
\(206\) −10.1633 9.00613i −0.708110 0.627487i
\(207\) −0.0543120 0.176075i −0.00377495 0.0122381i
\(208\) −0.136495 1.48648i −0.00946419 0.103069i
\(209\) −19.7931 4.51764i −1.36912 0.312492i
\(210\) −0.914344 11.2403i −0.0630957 0.775654i
\(211\) −25.7015 + 5.86621i −1.76937 + 0.403847i −0.978185 0.207734i \(-0.933391\pi\)
−0.791182 + 0.611581i \(0.790534\pi\)
\(212\) 3.68092 + 2.27006i 0.252807 + 0.155908i
\(213\) −0.300304 + 0.440464i −0.0205765 + 0.0301801i
\(214\) −0.292103 1.67660i −0.0199677 0.114610i
\(215\) 8.84230 15.3153i 0.603040 1.04450i
\(216\) 1.60759 2.32715i 0.109383 0.158343i
\(217\) −22.7620 2.08454i −1.54519 0.141508i
\(218\) −5.39561 + 5.24128i −0.365437 + 0.354984i
\(219\) 2.54275 + 3.72954i 0.171823 + 0.252019i
\(220\) 35.0095 1.60399i 2.36034 0.108141i
\(221\) 1.91337 1.77534i 0.128707 0.119423i
\(222\) 2.74693 + 10.8807i 0.184362 + 0.730265i
\(223\) 10.4498 + 5.03237i 0.699771 + 0.336992i 0.749716 0.661760i \(-0.230190\pi\)
−0.0499445 + 0.998752i \(0.515904\pi\)
\(224\) 14.7439 2.57241i 0.985119 0.171876i
\(225\) 3.67982 1.77211i 0.245321 0.118141i
\(226\) −6.43132 7.69640i −0.427805 0.511957i
\(227\) 6.29227 + 10.8985i 0.417633 + 0.723361i 0.995701 0.0926273i \(-0.0295265\pi\)
−0.578068 + 0.815989i \(0.696193\pi\)
\(228\) −1.86409 6.73065i −0.123452 0.445748i
\(229\) 2.99787 + 19.8896i 0.198105 + 1.31434i 0.837912 + 0.545805i \(0.183776\pi\)
−0.639808 + 0.768535i \(0.720986\pi\)
\(230\) 0.779111 + 0.0992512i 0.0513731 + 0.00654443i
\(231\) −13.7466 6.90212i −0.904459 0.454126i
\(232\) −0.290415 0.962390i −0.0190667 0.0631840i
\(233\) 0.116288 1.55175i 0.00761826 0.101659i −0.992098 0.125462i \(-0.959959\pi\)
0.999717 + 0.0238037i \(0.00757766\pi\)
\(234\) −0.527049 0.0273826i −0.0344543 0.00179006i
\(235\) 19.3499 + 7.59427i 1.26225 + 0.495396i
\(236\) −9.28028 14.4982i −0.604095 0.943754i
\(237\) 9.17510 + 7.31690i 0.595987 + 0.475284i
\(238\) 19.2970 + 17.6777i 1.25084 + 1.14588i
\(239\) 6.57797 5.24575i 0.425493 0.339320i −0.387216 0.921989i \(-0.626563\pi\)
0.812709 + 0.582669i \(0.197992\pi\)
\(240\) 6.20224 + 10.3383i 0.400353 + 0.667336i
\(241\) 7.78062 0.583077i 0.501194 0.0375593i 0.178265 0.983983i \(-0.442952\pi\)
0.322929 + 0.946423i \(0.395333\pi\)
\(242\) 15.4794 28.2873i 0.995054 1.81838i
\(243\) −0.733052 0.680173i −0.0470253 0.0436331i
\(244\) −2.03849 + 2.40933i −0.130501 + 0.154242i
\(245\) −13.8315 15.9318i −0.883660 1.01784i
\(246\) 9.87119 + 3.61566i 0.629364 + 0.230526i
\(247\) −0.886372 + 0.955281i −0.0563985 + 0.0607831i
\(248\) 22.8006 8.78781i 1.44784 0.558026i
\(249\) 0.827946 + 11.0482i 0.0524690 + 0.700150i
\(250\) −0.0893430 3.90215i −0.00565055 0.246793i
\(251\) 17.4494 + 21.8808i 1.10139 + 1.38111i 0.917300 + 0.398197i \(0.130364\pi\)
0.184095 + 0.982908i \(0.441065\pi\)
\(252\) −0.154800 5.28924i −0.00975147 0.333191i
\(253\) 0.667928 0.837555i 0.0419923 0.0526566i
\(254\) −7.07953 5.38531i −0.444209 0.337905i
\(255\) −7.70169 + 19.6236i −0.482298 + 1.22888i
\(256\) −12.9102 + 9.45130i −0.806887 + 0.590706i
\(257\) −23.2908 1.74541i −1.45284 0.108875i −0.675224 0.737613i \(-0.735953\pi\)
−0.777617 + 0.628738i \(0.783572\pi\)
\(258\) 4.51618 6.96119i 0.281165 0.433385i
\(259\) 16.1957 + 13.3594i 1.00635 + 0.830111i
\(260\) 1.03444 1.99761i 0.0641530 0.123887i
\(261\) −0.351441 + 0.0529712i −0.0217537 + 0.00327884i
\(262\) 12.1746 8.71526i 0.752146 0.538431i
\(263\) −21.4261 + 12.3704i −1.32119 + 0.762790i −0.983919 0.178617i \(-0.942838\pi\)
−0.337272 + 0.941407i \(0.609504\pi\)
\(264\) 16.4438 + 0.100708i 1.01205 + 0.00619812i
\(265\) 2.82773 + 5.87183i 0.173706 + 0.360704i
\(266\) −10.2670 8.08125i −0.629509 0.495493i
\(267\) 5.19473 10.7870i 0.317912 0.660151i
\(268\) 1.75911 16.8836i 0.107455 1.03133i
\(269\) −3.05488 3.29238i −0.186259 0.200740i 0.633018 0.774137i \(-0.281816\pi\)
−0.819278 + 0.573397i \(0.805625\pi\)
\(270\) 3.93113 1.64767i 0.239241 0.100274i
\(271\) −5.26352 + 3.58860i −0.319736 + 0.217992i −0.712543 0.701629i \(-0.752457\pi\)
0.392807 + 0.919621i \(0.371504\pi\)
\(272\) −26.8686 7.79698i −1.62915 0.472761i
\(273\) −0.824865 + 0.542637i −0.0499231 + 0.0328419i
\(274\) 2.80952 + 28.6675i 0.169729 + 1.73187i
\(275\) 20.5643 + 11.8728i 1.24007 + 0.715956i
\(276\) 0.362660 + 0.0654746i 0.0218296 + 0.00394111i
\(277\) −6.22613 4.24490i −0.374092 0.255051i 0.361650 0.932314i \(-0.382214\pi\)
−0.735741 + 0.677263i \(0.763166\pi\)
\(278\) −5.75159 + 28.1554i −0.344958 + 1.68865i
\(279\) −1.92241 8.42264i −0.115092 0.504250i
\(280\) 20.8037 + 8.71359i 1.24326 + 0.520737i
\(281\) −6.75347 + 29.5889i −0.402878 + 1.76513i 0.212767 + 0.977103i \(0.431752\pi\)
−0.615646 + 0.788023i \(0.711105\pi\)
\(282\) 8.88209 + 4.02960i 0.528921 + 0.239959i
\(283\) −4.45435 + 1.37399i −0.264784 + 0.0816750i −0.424304 0.905520i \(-0.639481\pi\)
0.159521 + 0.987195i \(0.449005\pi\)
\(284\) −0.506083 0.938427i −0.0300305 0.0556854i
\(285\) 3.10229 10.0574i 0.183764 0.595747i
\(286\) −1.59459 2.62144i −0.0942899 0.155009i
\(287\) 18.8866 5.48566i 1.11484 0.323808i
\(288\) 2.65456 + 4.99533i 0.156422 + 0.294352i
\(289\) −11.6616 29.7132i −0.685975 1.74784i
\(290\) 0.413279 1.45746i 0.0242686 0.0855852i
\(291\) −1.74797 + 11.5970i −0.102468 + 0.679831i
\(292\) −8.96219 + 1.08596i −0.524473 + 0.0635511i
\(293\) 2.69745i 0.157586i −0.996891 0.0787932i \(-0.974893\pi\)
0.996891 0.0787932i \(-0.0251067\pi\)
\(294\) −6.09329 7.80204i −0.355368 0.455024i
\(295\) 25.9417i 1.51038i
\(296\) −21.8505 5.12821i −1.27003 0.298071i
\(297\) 0.866513 5.74894i 0.0502802 0.333587i
\(298\) 15.8019 + 4.48080i 0.915381 + 0.259566i
\(299\) −0.0251220 0.0640099i −0.00145284 0.00370179i
\(300\) −0.236987 + 8.16515i −0.0136825 + 0.471415i
\(301\) −0.904134 15.4975i −0.0521134 0.893259i
\(302\) 16.4111 9.98264i 0.944351 0.574436i
\(303\) 2.80870 9.10557i 0.161355 0.523101i
\(304\) 13.6680 + 2.87941i 0.783915 + 0.165146i
\(305\) −4.54482 + 1.40189i −0.260235 + 0.0802720i
\(306\) −4.08659 + 9.00773i −0.233615 + 0.514938i
\(307\) 1.45949 6.39443i 0.0832973 0.364949i −0.916050 0.401063i \(-0.868641\pi\)
0.999348 + 0.0361140i \(0.0114979\pi\)
\(308\) 24.9007 18.0662i 1.41885 1.02942i
\(309\) −2.13668 9.36141i −0.121551 0.532552i
\(310\) 36.0793 + 7.37029i 2.04917 + 0.418604i
\(311\) 2.43249 + 1.65845i 0.137934 + 0.0940418i 0.630321 0.776334i \(-0.282923\pi\)
−0.492387 + 0.870376i \(0.663876\pi\)
\(312\) 0.533348 0.910858i 0.0301949 0.0515672i
\(313\) −13.6653 7.88968i −0.772410 0.445951i 0.0613236 0.998118i \(-0.480468\pi\)
−0.833734 + 0.552167i \(0.813801\pi\)
\(314\) −14.1311 + 1.38490i −0.797465 + 0.0781545i
\(315\) 4.10074 6.83915i 0.231051 0.385342i
\(316\) −21.4330 + 9.56581i −1.20570 + 0.538119i
\(317\) −12.5466 + 8.55410i −0.704685 + 0.480446i −0.861874 0.507122i \(-0.830709\pi\)
0.157189 + 0.987569i \(0.449757\pi\)
\(318\) 1.18207 + 2.82027i 0.0662871 + 0.158153i
\(319\) −1.40545 1.51472i −0.0786901 0.0848078i
\(320\) −24.0650 + 1.50726i −1.34527 + 0.0842585i
\(321\) 0.522134 1.08422i 0.0291427 0.0605154i
\(322\) 0.619250 0.303087i 0.0345095 0.0168904i
\(323\) 10.5972 + 22.0053i 0.589643 + 1.22441i
\(324\) 1.88216 0.676361i 0.104565 0.0375756i
\(325\) 1.31998 0.762094i 0.0732196 0.0422733i
\(326\) −4.68134 6.53947i −0.259275 0.362188i
\(327\) −5.25959 + 0.792756i −0.290856 + 0.0438395i
\(328\) −15.4998 + 14.2060i −0.855831 + 0.784397i
\(329\) 17.8542 3.76582i 0.984332 0.207616i
\(330\) 20.7895 + 13.4875i 1.14443 + 0.742464i
\(331\) 12.3787 + 0.927655i 0.680394 + 0.0509885i 0.410444 0.911886i \(-0.365374\pi\)
0.269950 + 0.962874i \(0.412993\pi\)
\(332\) −20.3830 8.69035i −1.11866 0.476945i
\(333\) −2.89906 + 7.38669i −0.158868 + 0.404788i
\(334\) 12.7808 16.8017i 0.699336 0.919347i
\(335\) 15.9498 20.0004i 0.871431 1.09274i
\(336\) 9.53607 + 4.58948i 0.520235 + 0.250377i
\(337\) 8.06985 + 10.1193i 0.439593 + 0.551232i 0.951436 0.307847i \(-0.0996085\pi\)
−0.511843 + 0.859079i \(0.671037\pi\)
\(338\) 18.1831 0.416317i 0.989028 0.0226446i
\(339\) −0.529995 7.07230i −0.0287854 0.384114i
\(340\) −27.7685 31.7256i −1.50596 1.72056i
\(341\) 34.1634 36.8193i 1.85005 1.99388i
\(342\) 1.69852 4.63716i 0.0918453 0.250749i
\(343\) −17.8295 5.01084i −0.962703 0.270560i
\(344\) 8.20966 + 14.4228i 0.442635 + 0.777626i
\(345\) 0.407113 + 0.377746i 0.0219182 + 0.0203371i
\(346\) 3.54654 + 1.94074i 0.190663 + 0.104335i
\(347\) 13.8882 1.04077i 0.745556 0.0558717i 0.303466 0.952842i \(-0.401856\pi\)
0.442090 + 0.896971i \(0.354237\pi\)
\(348\) 0.229136 0.672877i 0.0122830 0.0360700i
\(349\) −10.6156 + 8.46568i −0.568242 + 0.453158i −0.864984 0.501800i \(-0.832671\pi\)
0.296742 + 0.954958i \(0.404100\pi\)
\(350\) 8.68889 + 12.5715i 0.464440 + 0.671977i
\(351\) −0.291766 0.232676i −0.0155733 0.0124193i
\(352\) −15.3019 + 29.1117i −0.815594 + 1.55166i
\(353\) 23.6912 + 9.29811i 1.26096 + 0.494889i 0.899263 0.437409i \(-0.144104\pi\)
0.361693 + 0.932297i \(0.382199\pi\)
\(354\) 0.631548 12.1557i 0.0335664 0.646071i
\(355\) 0.120073 1.60227i 0.00637283 0.0850395i
\(356\) 14.3802 + 19.1464i 0.762149 + 1.01476i
\(357\) 3.81909 + 18.1067i 0.202128 + 0.958308i
\(358\) 2.46297 19.3340i 0.130172 1.02184i
\(359\) 2.64664 + 17.5593i 0.139684 + 0.926746i 0.943382 + 0.331708i \(0.107625\pi\)
−0.803698 + 0.595038i \(0.797137\pi\)
\(360\) −0.689119 + 8.49703i −0.0363198 + 0.447833i
\(361\) 3.40294 + 5.89407i 0.179102 + 0.310214i
\(362\) 1.98141 1.65572i 0.104141 0.0870228i
\(363\) 20.5431 9.89304i 1.07823 0.519250i
\(364\) −0.205113 1.96402i −0.0107509 0.102942i
\(365\) −12.2576 5.90294i −0.641591 0.308974i
\(366\) −2.16374 + 0.546255i −0.113101 + 0.0285532i
\(367\) −1.59964 + 1.48425i −0.0835008 + 0.0774774i −0.720819 0.693123i \(-0.756234\pi\)
0.637318 + 0.770601i \(0.280044\pi\)
\(368\) −0.449814 + 0.583870i −0.0234482 + 0.0304363i
\(369\) 4.18743 + 6.14184i 0.217989 + 0.319731i
\(370\) −23.5674 24.2613i −1.22521 1.26129i
\(371\) 4.90654 + 2.94195i 0.254735 + 0.152738i
\(372\) 16.7266 + 4.33192i 0.867236 + 0.224600i
\(373\) −12.9500 + 22.4300i −0.670525 + 1.16138i 0.307230 + 0.951635i \(0.400598\pi\)
−0.977755 + 0.209748i \(0.932736\pi\)
\(374\) −56.6539 + 9.87040i −2.92950 + 0.510386i
\(375\) 1.55474 2.28038i 0.0802864 0.117759i
\(376\) −15.3253 + 12.0687i −0.790340 + 0.622395i
\(377\) −0.129308 + 0.0295137i −0.00665969 + 0.00152003i
\(378\) 2.08803 3.10486i 0.107396 0.159697i
\(379\) −1.85588 0.423593i −0.0953303 0.0217585i 0.174590 0.984641i \(-0.444140\pi\)
−0.269920 + 0.962883i \(0.586997\pi\)
\(380\) 15.0088 + 14.7592i 0.769936 + 0.757133i
\(381\) −1.85393 6.01029i −0.0949797 0.307917i
\(382\) 15.2412 17.1995i 0.779807 0.880002i
\(383\) 1.90032 + 0.586171i 0.0971018 + 0.0299519i 0.342925 0.939363i \(-0.388582\pi\)
−0.245824 + 0.969315i \(0.579058\pi\)
\(384\) −11.3131 + 0.120413i −0.577318 + 0.00614481i
\(385\) 46.2831 2.70019i 2.35880 0.137614i
\(386\) −15.9913 + 5.33647i −0.813934 + 0.271619i
\(387\) 5.46186 2.14362i 0.277642 0.108966i
\(388\) −18.9888 13.7700i −0.964011 0.699065i
\(389\) −23.1487 3.48910i −1.17369 0.176905i −0.466885 0.884318i \(-0.654624\pi\)
−0.706800 + 0.707413i \(0.749862\pi\)
\(390\) 1.41698 0.722793i 0.0717514 0.0366000i
\(391\) −1.28877 −0.0651761
\(392\) 19.4603 3.64633i 0.982895 0.184168i
\(393\) 10.5871 0.534051
\(394\) 25.4009 12.9569i 1.27968 0.652758i
\(395\) −34.9756 5.27173i −1.75981 0.265249i
\(396\) 9.41322 + 6.82611i 0.473032 + 0.343025i
\(397\) −11.2620 + 4.42001i −0.565223 + 0.221834i −0.630709 0.776020i \(-0.717236\pi\)
0.0654853 + 0.997854i \(0.479140\pi\)
\(398\) −8.15894 + 2.72273i −0.408971 + 0.136478i
\(399\) −2.57698 8.87231i −0.129010 0.444171i
\(400\) −14.2834 7.93021i −0.714169 0.396511i
\(401\) 27.1586 + 8.37732i 1.35624 + 0.418343i 0.885790 0.464086i \(-0.153617\pi\)
0.470446 + 0.882429i \(0.344093\pi\)
\(402\) 7.96067 8.98351i 0.397042 0.448057i
\(403\) −0.950295 3.08078i −0.0473376 0.153465i
\(404\) 13.5884 + 13.3625i 0.676049 + 0.664808i
\(405\) 2.93845 + 0.670682i 0.146013 + 0.0333264i
\(406\) −0.400055 1.26822i −0.0198544 0.0629409i
\(407\) −44.9777 + 10.2659i −2.22946 + 0.508860i
\(408\) −12.2394 15.5420i −0.605940 0.769445i
\(409\) 16.2931 23.8976i 0.805642 1.18166i −0.174752 0.984612i \(-0.555912\pi\)
0.980394 0.197047i \(-0.0631353\pi\)
\(410\) −31.2148 + 5.43832i −1.54159 + 0.268580i
\(411\) −10.1840 + 17.6393i −0.502342 + 0.870081i
\(412\) 18.5910 + 4.81475i 0.915911 + 0.237206i
\(413\) −12.5153 19.0245i −0.615836 0.936135i
\(414\) 0.181569 + 0.186915i 0.00892363 + 0.00918639i
\(415\) −18.8108 27.5904i −0.923386 1.35436i
\(416\) 1.12718 + 1.78493i 0.0552644 + 0.0875132i
\(417\) −14.8956 + 13.8211i −0.729443 + 0.676824i
\(418\) 27.8381 7.02796i 1.36160 0.343749i
\(419\) 27.5088 + 13.2475i 1.34389 + 0.647184i 0.960984 0.276603i \(-0.0892088\pi\)
0.382907 + 0.923787i \(0.374923\pi\)
\(420\) 8.37498 + 13.5728i 0.408657 + 0.662283i
\(421\) 1.52458 0.734201i 0.0743037 0.0357828i −0.396363 0.918094i \(-0.629728\pi\)
0.470667 + 0.882311i \(0.344013\pi\)
\(422\) 28.6087 23.9062i 1.39265 1.16374i
\(423\) 3.44836 + 5.97273i 0.167665 + 0.290404i
\(424\) −6.09593 0.494387i −0.296044 0.0240096i
\(425\) −4.25763 28.2475i −0.206526 1.37021i
\(426\) 0.0952710 0.747868i 0.00461590 0.0362343i
\(427\) −2.65665 + 3.22068i −0.128564 + 0.155860i
\(428\) 1.44539 + 1.92445i 0.0698654 + 0.0930218i
\(429\) 0.162137 2.16357i 0.00782806 0.104458i
\(430\) −1.29762 + 24.9761i −0.0625770 + 1.20445i
\(431\) −27.6299 10.8439i −1.33088 0.522333i −0.409970 0.912099i \(-0.634461\pi\)
−0.920914 + 0.389766i \(0.872556\pi\)
\(432\) −0.529767 + 3.96476i −0.0254884 + 0.190755i
\(433\) −30.4972 24.3207i −1.46560 1.16878i −0.950122 0.311879i \(-0.899042\pi\)
−0.515481 0.856901i \(-0.672387\pi\)
\(434\) 30.0148 12.0010i 1.44075 0.576067i
\(435\) 0.837509 0.667891i 0.0401555 0.0320229i
\(436\) 3.42920 10.0701i 0.164229 0.482272i
\(437\) 0.641643 0.0480845i 0.0306940 0.00230019i
\(438\) −5.59995 3.06441i −0.267576 0.146423i
\(439\) 13.8167 + 12.8201i 0.659437 + 0.611868i 0.937204 0.348781i \(-0.113404\pi\)
−0.277768 + 0.960648i \(0.589595\pi\)
\(440\) −43.0736 + 24.5181i −2.05346 + 1.16885i
\(441\) −0.292162 6.99390i −0.0139125 0.333043i
\(442\) −1.26957 + 3.46610i −0.0603875 + 0.164865i
\(443\) 13.6127 14.6710i 0.646760 0.697042i −0.321522 0.946902i \(-0.604194\pi\)
0.968282 + 0.249860i \(0.0803847\pi\)
\(444\) −10.4526 11.9421i −0.496057 0.566748i
\(445\) 2.69669 + 35.9848i 0.127835 + 1.70584i
\(446\) −16.3983 + 0.375454i −0.776484 + 0.0177783i
\(447\) 7.24132 + 9.08033i 0.342503 + 0.429485i
\(448\) −16.9211 + 12.7152i −0.799445 + 0.600739i
\(449\) −2.59992 + 3.26020i −0.122698 + 0.153858i −0.839386 0.543535i \(-0.817085\pi\)
0.716689 + 0.697393i \(0.245657\pi\)
\(450\) −3.49700 + 4.59716i −0.164850 + 0.216712i
\(451\) −15.7891 + 40.2299i −0.743479 + 1.89435i
\(452\) 13.0478 + 5.56298i 0.613719 + 0.261660i
\(453\) 13.5447 + 1.01503i 0.636384 + 0.0476904i
\(454\) −14.9304 9.68632i −0.700718 0.454602i
\(455\) 1.33532 2.65948i 0.0626006 0.124678i
\(456\) 6.67352 + 7.28128i 0.312516 + 0.340977i
\(457\) −29.1633 + 4.39566i −1.36420 + 0.205620i −0.790006 0.613099i \(-0.789923\pi\)
−0.574194 + 0.818719i \(0.694685\pi\)
\(458\) −16.5579 23.1301i −0.773699 1.08080i
\(459\) −6.05721 + 3.49713i −0.282726 + 0.163232i
\(460\) −1.04529 + 0.375629i −0.0487370 + 0.0175138i
\(461\) 8.82571 + 18.3268i 0.411054 + 0.853563i 0.999002 + 0.0446643i \(0.0142218\pi\)
−0.587948 + 0.808899i \(0.700064\pi\)
\(462\) 21.7531 0.138498i 1.01205 0.00644350i
\(463\) 16.5562 34.3792i 0.769430 1.59774i −0.0318817 0.999492i \(-0.510150\pi\)
0.801312 0.598247i \(-0.204136\pi\)
\(464\) 0.984300 + 1.02578i 0.0456950 + 0.0476206i
\(465\) 17.7109 + 19.0878i 0.821323 + 0.885175i
\(466\) 0.850672 + 2.02960i 0.0394066 + 0.0940193i
\(467\) 11.2891 7.69674i 0.522395 0.356163i −0.273234 0.961948i \(-0.588093\pi\)
0.795628 + 0.605785i \(0.207141\pi\)
\(468\) 0.681564 0.304190i 0.0315053 0.0140612i
\(469\) 2.04793 22.3623i 0.0945646 1.03259i
\(470\) −29.2568 + 2.86727i −1.34952 + 0.132257i
\(471\) −8.69496 5.02004i −0.400643 0.231311i
\(472\) 21.0078 + 12.3010i 0.966964 + 0.566201i
\(473\) 28.1852 + 19.2163i 1.29596 + 0.883568i
\(474\) −16.2605 3.32171i −0.746872 0.152571i
\(475\) 3.17368 + 13.9048i 0.145618 + 0.637996i
\(476\) −35.6699 9.86966i −1.63493 0.452375i
\(477\) −0.481160 + 2.10810i −0.0220308 + 0.0965232i
\(478\) −4.91584 + 10.8356i −0.224845 + 0.495608i
\(479\) −30.8796 + 9.52509i −1.41092 + 0.435213i −0.904279 0.426942i \(-0.859591\pi\)
−0.506645 + 0.862155i \(0.669115\pi\)
\(480\) −14.4570 9.03842i −0.659868 0.412546i
\(481\) −0.872854 + 2.82972i −0.0397987 + 0.129024i
\(482\) −9.42720 + 5.73445i −0.429397 + 0.261197i
\(483\) 0.480799 + 0.0806155i 0.0218771 + 0.00366813i
\(484\) −1.32302 + 45.5831i −0.0601371 + 2.07196i
\(485\) −12.9143 32.9050i −0.586406 1.49414i
\(486\) 1.36057 + 0.385805i 0.0617168 + 0.0175005i
\(487\) 3.47085 23.0276i 0.157279 1.04348i −0.761345 0.648347i \(-0.775461\pi\)
0.918624 0.395133i \(-0.129301\pi\)
\(488\) 1.01980 4.34519i 0.0461641 0.196698i
\(489\) 5.68681i 0.257166i
\(490\) 27.6625 + 11.1823i 1.24967 + 0.505167i
\(491\) 30.3304i 1.36879i −0.729112 0.684395i \(-0.760067\pi\)
0.729112 0.684395i \(-0.239933\pi\)
\(492\) −14.7590 + 1.78837i −0.665388 + 0.0806260i
\(493\) −0.370495 + 2.45807i −0.0166862 + 0.110706i
\(494\) 0.502764 1.77304i 0.0226204 0.0797727i
\(495\) 6.40191 + 16.3118i 0.287745 + 0.733161i
\(496\) −23.0767 + 25.7226i −1.03617 + 1.15498i
\(497\) −0.684939 1.23296i −0.0307237 0.0553059i
\(498\) −8.14269 13.3863i −0.364883 0.599853i
\(499\) −0.430234 + 1.39478i −0.0192599 + 0.0624391i −0.964693 0.263378i \(-0.915163\pi\)
0.945433 + 0.325817i \(0.105639\pi\)
\(500\) 2.62011 + 4.85845i 0.117175 + 0.217276i
\(501\) 14.2641 4.39989i 0.637272 0.196572i
\(502\) −36.0432 16.3520i −1.60869 0.729824i
\(503\) 1.83606 8.04431i 0.0818659 0.358678i −0.917358 0.398063i \(-0.869683\pi\)
0.999224 + 0.0393847i \(0.0125398\pi\)
\(504\) 3.59393 + 6.56382i 0.160086 + 0.292376i
\(505\) 6.39087 + 28.0002i 0.284390 + 1.24599i
\(506\) −0.303224 + 1.48435i −0.0134800 + 0.0659876i
\(507\) 10.6260 + 7.24471i 0.471919 + 0.321749i
\(508\) 12.3793 + 2.23496i 0.549244 + 0.0991603i
\(509\) −6.99647 4.03941i −0.310113 0.179044i 0.336864 0.941553i \(-0.390634\pi\)
−0.646977 + 0.762509i \(0.723967\pi\)
\(510\) −2.90783 29.6706i −0.128761 1.31384i
\(511\) −11.8370 + 1.58457i −0.523638 + 0.0700971i
\(512\) 10.1905 20.2028i 0.450363 0.892846i
\(513\) 2.88523 1.96712i 0.127386 0.0868504i
\(514\) 30.4630 12.7681i 1.34366 0.563175i
\(515\) 19.6849 + 21.2153i 0.867421 + 0.934857i
\(516\) −1.21608 + 11.6717i −0.0535351 + 0.513819i
\(517\) −17.3973 + 36.1258i −0.765131 + 1.58881i
\(518\) −28.9879 6.42241i −1.27366 0.282185i
\(519\) 1.24035 + 2.57561i 0.0544452 + 0.113057i
\(520\) −0.0194833 + 3.18129i −0.000854401 + 0.139509i
\(521\) −19.8502 + 11.4605i −0.869654 + 0.502095i −0.867233 0.497902i \(-0.834104\pi\)
−0.00242074 + 0.999997i \(0.500771\pi\)
\(522\) 0.408700 0.292571i 0.0178883 0.0128055i
\(523\) −1.50305 + 0.226548i −0.0657237 + 0.00990625i −0.181822 0.983332i \(-0.558199\pi\)
0.116098 + 0.993238i \(0.462961\pi\)
\(524\) −9.73679 + 18.8028i −0.425354 + 0.821405i
\(525\) −0.178563 + 10.8045i −0.00779312 + 0.471549i
\(526\) 19.0429 29.3526i 0.830312 1.27983i
\(527\) −60.2562 4.51557i −2.62480 0.196702i
\(528\) −20.7804 + 10.4401i −0.904349 + 0.454346i
\(529\) 8.39044 21.3785i 0.364802 0.929500i
\(530\) −7.33561 5.58012i −0.318639 0.242385i
\(531\) 5.36638 6.72923i 0.232881 0.292024i
\(532\) 18.1273 + 3.58297i 0.785916 + 0.155341i
\(533\) 1.72959 + 2.16884i 0.0749169 + 0.0939428i
\(534\) 0.387567 + 16.9274i 0.0167717 + 0.732521i
\(535\) 0.271050 + 3.61691i 0.0117185 + 0.156373i
\(536\) 8.63347 + 22.4001i 0.372909 + 0.967539i
\(537\) 9.37395 10.1027i 0.404516 0.435964i
\(538\) 5.96420 + 2.18459i 0.257135 + 0.0941843i
\(539\) 32.6394 24.3090i 1.40588 1.04706i
\(540\) −3.89357 + 4.60188i −0.167552 + 0.198033i
\(541\) 15.5305 + 14.4102i 0.667707 + 0.619541i 0.939392 0.342845i \(-0.111391\pi\)
−0.271685 + 0.962386i \(0.587581\pi\)
\(542\) 4.32482 7.90325i 0.185767 0.339474i
\(543\) 1.82074 0.136445i 0.0781353 0.00585543i
\(544\) 38.8590 7.44351i 1.66607 0.319138i
\(545\) 12.5340 9.99551i 0.536896 0.428161i
\(546\) 0.690448 1.21367i 0.0295484 0.0519403i
\(547\) −19.8054 15.7943i −0.846817 0.675314i 0.100736 0.994913i \(-0.467880\pi\)
−0.947553 + 0.319599i \(0.896452\pi\)
\(548\) −21.9614 34.3094i −0.938142 1.46562i
\(549\) −1.46892 0.576508i −0.0626919 0.0246048i
\(550\) −33.5361 1.74235i −1.42998 0.0742942i
\(551\) 0.0927473 1.23763i 0.00395117 0.0527247i
\(552\) −0.498948 + 0.150565i −0.0212366 + 0.00640846i
\(553\) −28.1929 + 13.0075i −1.19888 + 0.553137i
\(554\) 10.5714 + 1.34669i 0.449135 + 0.0572154i
\(555\) −3.56463 23.6497i −0.151310 1.00388i
\(556\) −10.8472 39.1658i −0.460022 1.66100i
\(557\) −15.1694 26.2741i −0.642747 1.11327i −0.984817 0.173596i \(-0.944461\pi\)
0.342070 0.939675i \(-0.388872\pi\)
\(558\) 7.83428 + 9.37534i 0.331652 + 0.396890i
\(559\) 1.97279 0.950045i 0.0834401 0.0401826i
\(560\) −31.8076 + 2.39140i −1.34412 + 0.101055i
\(561\) −36.6368 17.6433i −1.54681 0.744903i
\(562\) −10.5062 41.6154i −0.443176 1.75544i
\(563\) −15.4535 + 14.3387i −0.651285 + 0.604304i −0.935019 0.354599i \(-0.884617\pi\)
0.283733 + 0.958903i \(0.408427\pi\)
\(564\) −13.7790 + 0.631293i −0.580199 + 0.0265822i
\(565\) 12.0414 + 17.6615i 0.506586 + 0.743025i
\(566\) 4.72858 4.59333i 0.198757 0.193072i
\(567\) 2.47850 0.925772i 0.104087 0.0388788i
\(568\) 1.24060 + 0.857001i 0.0520543 + 0.0359589i
\(569\) 21.5465 37.3196i 0.903276 1.56452i 0.0800615 0.996790i \(-0.474488\pi\)
0.823215 0.567730i \(-0.192178\pi\)
\(570\) 2.55475 + 14.6637i 0.107007 + 0.614193i
\(571\) −0.395201 + 0.579654i −0.0165387 + 0.0242578i −0.834419 0.551130i \(-0.814197\pi\)
0.817880 + 0.575388i \(0.195149\pi\)
\(572\) 3.69339 + 2.27775i 0.154429 + 0.0952375i
\(573\) 15.8424 3.61593i 0.661827 0.151058i
\(574\) −20.2679 + 19.0475i −0.845967 + 0.795025i
\(575\) −0.733709 0.167464i −0.0305978 0.00698375i
\(576\) −6.55422 4.58718i −0.273092 0.191133i
\(577\) −12.1980 39.5449i −0.507809 1.64628i −0.739253 0.673427i \(-0.764821\pi\)
0.231445 0.972848i \(-0.425655\pi\)
\(578\) 33.7850 + 29.9384i 1.40527 + 1.24527i
\(579\) −11.3909 3.51364i −0.473391 0.146022i
\(580\) 0.415936 + 2.10166i 0.0172708 + 0.0872669i
\(581\) −27.1057 11.1586i −1.12453 0.462935i
\(582\) −5.25030 15.7330i −0.217632 0.652155i
\(583\) −11.7024 + 4.59285i −0.484664 + 0.190217i
\(584\) 10.5926 7.12726i 0.438324 0.294928i
\(585\) 1.11222 + 0.167640i 0.0459845 + 0.00693104i
\(586\) 1.73340 + 3.39820i 0.0716062 + 0.140378i
\(587\) −10.0898 −0.416450 −0.208225 0.978081i \(-0.566769\pi\)
−0.208225 + 0.978081i \(0.566769\pi\)
\(588\) 12.6899 + 5.91327i 0.523322 + 0.243859i
\(589\) 30.1683 1.24306
\(590\) 16.6703 + 32.6809i 0.686307 + 1.34545i
\(591\) 19.9377 + 3.00513i 0.820129 + 0.123615i
\(592\) 30.8223 7.58087i 1.26679 0.311572i
\(593\) 20.8579 8.18614i 0.856533 0.336164i 0.103886 0.994589i \(-0.466872\pi\)
0.752647 + 0.658425i \(0.228777\pi\)
\(594\) 2.60270 + 7.79925i 0.106790 + 0.320007i
\(595\) −37.2556 41.5070i −1.52733 1.70162i
\(596\) −22.7864 + 4.50961i −0.933367 + 0.184721i
\(597\) −5.81180 1.79270i −0.237861 0.0733704i
\(598\) 0.0727816 + 0.0644949i 0.00297626 + 0.00263739i
\(599\) 5.99870 + 19.4473i 0.245100 + 0.794596i 0.991615 + 0.129227i \(0.0412496\pi\)
−0.746515 + 0.665369i \(0.768274\pi\)
\(600\) −4.94844 10.4386i −0.202019 0.426154i
\(601\) −16.3611 3.73432i −0.667385 0.152326i −0.124612 0.992206i \(-0.539769\pi\)
−0.542773 + 0.839879i \(0.682626\pi\)
\(602\) 11.0978 + 18.9424i 0.452314 + 0.772036i
\(603\) 8.27471 1.88865i 0.336972 0.0769118i
\(604\) −14.2595 + 23.1219i −0.580209 + 0.940815i
\(605\) −38.7130 + 56.7816i −1.57391 + 2.30850i
\(606\) 2.31297 + 13.2759i 0.0939580 + 0.539298i
\(607\) 3.13404 5.42831i 0.127207 0.220328i −0.795387 0.606102i \(-0.792732\pi\)
0.922593 + 0.385774i \(0.126066\pi\)
\(608\) −19.0691 + 5.15575i −0.773353 + 0.209093i
\(609\) 0.291977 0.893850i 0.0118315 0.0362206i
\(610\) 4.82462 4.68662i 0.195343 0.189756i
\(611\) 1.44984 + 2.12652i 0.0586541 + 0.0860297i
\(612\) −0.640223 13.9739i −0.0258795 0.564860i
\(613\) 15.4543 14.3395i 0.624193 0.579166i −0.303352 0.952879i \(-0.598106\pi\)
0.927545 + 0.373712i \(0.121915\pi\)
\(614\) 2.27048 + 8.99347i 0.0916291 + 0.362947i
\(615\) −20.1859 9.72101i −0.813974 0.391989i
\(616\) −19.7599 + 38.7609i −0.796149 + 1.56172i
\(617\) −11.6041 + 5.58824i −0.467163 + 0.224974i −0.652630 0.757676i \(-0.726335\pi\)
0.185467 + 0.982650i \(0.440620\pi\)
\(618\) 8.70748 + 10.4203i 0.350266 + 0.419166i
\(619\) 6.86291 + 11.8869i 0.275844 + 0.477775i 0.970348 0.241714i \(-0.0777094\pi\)
−0.694504 + 0.719489i \(0.744376\pi\)
\(620\) −50.1883 + 13.8999i −2.01561 + 0.558235i
\(621\) 0.0274628 + 0.182203i 0.00110204 + 0.00731157i
\(622\) −4.13015 0.526140i −0.165604 0.0210963i
\(623\) 19.3381 + 25.0887i 0.774764 + 1.00516i
\(624\) −0.0865779 + 1.49022i −0.00346589 + 0.0596565i
\(625\) −2.14774 + 28.6597i −0.0859098 + 1.14639i
\(626\) 22.2853 + 1.15783i 0.890701 + 0.0462761i
\(627\) 18.8987 + 7.41719i 0.754741 + 0.296214i
\(628\) 16.9122 10.8255i 0.674870 0.431983i
\(629\) 43.3924 + 34.6043i 1.73017 + 1.37976i
\(630\) −0.771146 + 11.2510i −0.0307232 + 0.448251i
\(631\) −25.7382 + 20.5256i −1.02462 + 0.817110i −0.983292 0.182036i \(-0.941731\pi\)
−0.0413312 + 0.999146i \(0.513160\pi\)
\(632\) 20.8539 25.8239i 0.829522 1.02722i
\(633\) 26.2888 1.97007i 1.04489 0.0783034i
\(634\) 10.3090 18.8388i 0.409423 0.748186i
\(635\) 13.8967 + 12.8943i 0.551474 + 0.511693i
\(636\) −3.30148 2.79332i −0.130912 0.110762i
\(637\) −0.303771 2.59456i −0.0120358 0.102800i
\(638\) 2.74393 + 1.00506i 0.108633 + 0.0397906i
\(639\) 0.362597 0.390787i 0.0143441 0.0154593i
\(640\) 29.3481 17.3632i 1.16008 0.686340i
\(641\) 1.55093 + 20.6958i 0.0612582 + 0.817433i 0.940226 + 0.340552i \(0.110614\pi\)
−0.878968 + 0.476882i \(0.841767\pi\)
\(642\) 0.0389553 + 1.70141i 0.00153744 + 0.0671494i
\(643\) 1.06575 + 1.33640i 0.0420290 + 0.0527027i 0.802402 0.596784i \(-0.203555\pi\)
−0.760373 + 0.649487i \(0.774984\pi\)
\(644\) −0.585354 + 0.779759i −0.0230662 + 0.0307268i
\(645\) −11.0262 + 13.8264i −0.434155 + 0.544413i
\(646\) −27.4909 20.9120i −1.08162 0.822773i
\(647\) 11.7545 29.9499i 0.462116 1.17745i −0.490002 0.871722i \(-0.663004\pi\)
0.952118 0.305731i \(-0.0989009\pi\)
\(648\) −1.93648 + 2.06156i −0.0760722 + 0.0809858i
\(649\) 49.9001 + 3.73950i 1.95875 + 0.146788i
\(650\) −1.17317 + 1.80831i −0.0460154 + 0.0709276i
\(651\) 22.1971 + 5.45376i 0.869973 + 0.213750i
\(652\) 10.0998 + 5.23004i 0.395538 + 0.204824i
\(653\) 39.1271 5.89746i 1.53116 0.230786i 0.671251 0.741230i \(-0.265757\pi\)
0.859911 + 0.510444i \(0.170519\pi\)
\(654\) 6.11651 4.37856i 0.239175 0.171215i
\(655\) −27.6347 + 15.9549i −1.07978 + 0.623410i
\(656\) 10.3974 27.8568i 0.405951 1.08763i
\(657\) −1.95850 4.06686i −0.0764082 0.158663i
\(658\) −20.0724 + 16.2174i −0.782504 + 0.632218i
\(659\) 3.63072 7.53927i 0.141433 0.293688i −0.818205 0.574926i \(-0.805031\pi\)
0.959638 + 0.281238i \(0.0907451\pi\)
\(660\) −34.8575 3.63182i −1.35683 0.141369i
\(661\) 10.2612 + 11.0590i 0.399115 + 0.430144i 0.900349 0.435168i \(-0.143311\pi\)
−0.501234 + 0.865312i \(0.667121\pi\)
\(662\) −16.1906 + 6.78601i −0.629265 + 0.263746i
\(663\) −2.15660 + 1.47034i −0.0837553 + 0.0571034i
\(664\) 31.2627 2.15037i 1.21323 0.0834504i
\(665\) 20.0971 + 19.2751i 0.779333 + 0.747457i
\(666\) −1.09456 11.1686i −0.0424134 0.432774i
\(667\) 0.0567147 + 0.0327443i 0.00219600 + 0.00126786i
\(668\) −5.30418 + 29.3796i −0.205225 + 1.13673i
\(669\) −9.58306 6.53362i −0.370503 0.252604i
\(670\) −7.24085 + 35.4457i −0.279738 + 1.36939i
\(671\) −2.04147 8.94428i −0.0788102 0.345290i
\(672\) −14.9626 + 0.346212i −0.577196 + 0.0133554i
\(673\) −9.24461 + 40.5033i −0.356353 + 1.56129i 0.405845 + 0.913942i \(0.366977\pi\)
−0.762198 + 0.647344i \(0.775880\pi\)
\(674\) −16.6690 7.56233i −0.642066 0.291290i
\(675\) −3.90284 + 1.20387i −0.150220 + 0.0463368i
\(676\) −22.6392 + 12.2091i −0.870738 + 0.469579i
\(677\) −7.91739 + 25.6676i −0.304290 + 0.986484i 0.666287 + 0.745695i \(0.267882\pi\)
−0.970577 + 0.240789i \(0.922594\pi\)
\(678\) 5.21240 + 8.56898i 0.200181 + 0.329090i
\(679\) −25.3454 17.9008i −0.972668 0.686969i
\(680\) 55.3694 + 22.1232i 2.12332 + 0.848385i
\(681\) −4.59765 11.7146i −0.176182 0.448905i
\(682\) −19.3780 + 68.3381i −0.742021 + 2.61680i
\(683\) −2.58586 + 17.1561i −0.0989452 + 0.656458i 0.883293 + 0.468821i \(0.155321\pi\)
−0.982238 + 0.187637i \(0.939917\pi\)
\(684\) 0.840118 + 6.93330i 0.0321227 + 0.265101i
\(685\) 61.3897i 2.34558i
\(686\) 25.6813 5.14482i 0.980518 0.196430i
\(687\) 20.1142i 0.767406i
\(688\) −19.6106 12.8940i −0.747648 0.491580i
\(689\) −0.120268 + 0.797925i −0.00458184 + 0.0303985i
\(690\) −0.755617 0.214263i −0.0287658 0.00815686i
\(691\) 5.65575 + 14.4106i 0.215155 + 0.548206i 0.997180 0.0750406i \(-0.0239086\pi\)
−0.782026 + 0.623246i \(0.785813\pi\)
\(692\) −5.71501 0.165874i −0.217252 0.00630558i
\(693\) 12.5643 + 8.87386i 0.477280 + 0.337090i
\(694\) −16.8273 + 10.2358i −0.638754 + 0.388546i
\(695\) 18.0523 58.5240i 0.684761 2.21994i
\(696\) 0.143735 + 0.994925i 0.00544825 + 0.0377125i
\(697\) 49.6819 15.3248i 1.88184 0.580470i
\(698\) 7.93327 17.4866i 0.300279 0.661878i
\(699\) −0.346265 + 1.51709i −0.0130970 + 0.0573815i
\(700\) −19.0247 10.2539i −0.719066 0.387559i
\(701\) −1.64967 7.22766i −0.0623071 0.272985i 0.934172 0.356822i \(-0.116140\pi\)
−0.996479 + 0.0838368i \(0.973283\pi\)
\(702\) 0.517081 + 0.105629i 0.0195160 + 0.00398673i
\(703\) −22.8949 15.6095i −0.863499 0.588724i
\(704\) 0.569677 46.5075i 0.0214705 1.75282i
\(705\) −18.0019 10.3934i −0.677991 0.391438i
\(706\) −35.8208 + 3.51057i −1.34814 + 0.132122i
\(707\) 18.1952 + 17.4510i 0.684300 + 0.656311i
\(708\) 7.01578 + 15.7194i 0.263669 + 0.590773i
\(709\) 28.2072 19.2313i 1.05934 0.722248i 0.0973301 0.995252i \(-0.468970\pi\)
0.962013 + 0.273004i \(0.0880174\pi\)
\(710\) 0.878364 + 2.09567i 0.0329644 + 0.0786490i
\(711\) −7.98210 8.60265i −0.299352 0.322625i
\(712\) −30.4196 14.8795i −1.14002 0.557632i
\(713\) −0.690691 + 1.43423i −0.0258666 + 0.0537125i
\(714\) −16.4467 20.3563i −0.615504 0.761817i
\(715\) 2.83731 + 5.89172i 0.106109 + 0.220338i
\(716\) 9.32142 + 25.9394i 0.348358 + 0.969402i
\(717\) −7.28634 + 4.20677i −0.272113 + 0.157105i
\(718\) −14.6180 20.4202i −0.545538 0.762075i
\(719\) 22.6213 3.40961i 0.843632 0.127157i 0.287015 0.957926i \(-0.407337\pi\)
0.556617 + 0.830769i \(0.312099\pi\)
\(720\) −4.59212 11.1472i −0.171138 0.415433i
\(721\) 24.6712 + 6.06163i 0.918802 + 0.225747i
\(722\) −8.07455 5.23849i −0.300504 0.194956i
\(723\) −7.78062 0.583077i −0.289364 0.0216849i
\(724\) −1.43217 + 3.35912i −0.0532261 + 0.124841i
\(725\) −0.530330 + 1.35126i −0.0196959 + 0.0501845i
\(726\) −19.5225 + 25.6643i −0.724549 + 0.952491i
\(727\) 9.74757 12.2231i 0.361518 0.453329i −0.567495 0.823377i \(-0.692087\pi\)
0.929013 + 0.370048i \(0.120659\pi\)
\(728\) 1.52049 + 2.34243i 0.0563532 + 0.0868161i
\(729\) 0.623490 + 0.781831i 0.0230922 + 0.0289567i
\(730\) 19.2352 0.440406i 0.711926 0.0163001i
\(731\) −3.06681 40.9237i −0.113430 1.51362i
\(732\) 2.37482 2.07860i 0.0877757 0.0768273i
\(733\) −4.51338 + 4.86427i −0.166705 + 0.179666i −0.810879 0.585213i \(-0.801011\pi\)
0.644174 + 0.764879i \(0.277201\pi\)
\(734\) 1.06141 2.89778i 0.0391774 0.106959i
\(735\) 11.3025 + 17.8153i 0.416898 + 0.657127i
\(736\) 0.191469 1.02460i 0.00705763 0.0377674i
\(737\) 36.1727 + 33.5634i 1.33244 + 1.23632i
\(738\) −9.22206 5.04650i −0.339469 0.185764i
\(739\) 34.6350 2.59553i 1.27407 0.0954782i 0.579540 0.814944i \(-0.303232\pi\)
0.694528 + 0.719465i \(0.255613\pi\)
\(740\) 45.2803 + 15.4194i 1.66454 + 0.566829i
\(741\) 1.01885 0.812505i 0.0374283 0.0298481i
\(742\) −8.07169 0.553235i −0.296321 0.0203099i
\(743\) 3.91983 + 3.12596i 0.143805 + 0.114680i 0.692750 0.721178i \(-0.256399\pi\)
−0.548945 + 0.835858i \(0.684970\pi\)
\(744\) −23.8557 + 5.29140i −0.874591 + 0.193992i
\(745\) −32.5855 12.7889i −1.19384 0.468548i
\(746\) 1.90044 36.5788i 0.0695799 1.33924i
\(747\) 0.827946 11.0482i 0.0302930 0.404232i
\(748\) 65.0288 48.8408i 2.37769 1.78580i
\(749\) 1.94372 + 2.52173i 0.0710218 + 0.0921418i
\(750\) −0.493240 + 3.87188i −0.0180106 + 0.141381i
\(751\) 2.12749 + 14.1149i 0.0776331 + 0.515062i 0.993523 + 0.113632i \(0.0362485\pi\)
−0.915890 + 0.401430i \(0.868513\pi\)
\(752\) 11.5511 25.0521i 0.421224 0.913555i
\(753\) −13.9933 24.2371i −0.509945 0.883250i
\(754\) 0.143934 0.120275i 0.00524177 0.00438016i
\(755\) −36.8841 + 17.7625i −1.34235 + 0.646442i
\(756\) −0.635249 + 5.25323i −0.0231038 + 0.191058i
\(757\) 23.0791 + 11.1143i 0.838824 + 0.403956i 0.803417 0.595417i \(-0.203013\pi\)
0.0354070 + 0.999373i \(0.488727\pi\)
\(758\) 2.61021 0.658971i 0.0948072 0.0239349i
\(759\) −0.785299 + 0.728651i −0.0285045 + 0.0264484i
\(760\) −28.3923 8.94864i −1.02990 0.324601i
\(761\) 6.66162 + 9.77080i 0.241483 + 0.354191i 0.927778 0.373133i \(-0.121716\pi\)
−0.686295 + 0.727324i \(0.740764\pi\)
\(762\) 6.19782 + 6.38031i 0.224523 + 0.231134i
\(763\) 4.36966 13.3772i 0.158192 0.484286i
\(764\) −8.14807 + 31.4617i −0.294787 + 1.13825i
\(765\) 10.5404 18.2565i 0.381089 0.660066i
\(766\) −2.77067 + 0.482714i −0.100108 + 0.0174412i
\(767\) 1.80938 2.65387i 0.0653328 0.0958256i
\(768\) 14.1746 7.42157i 0.511483 0.267803i
\(769\) −15.4222 + 3.52001i −0.556138 + 0.126935i −0.491347 0.870964i \(-0.663495\pi\)
−0.0647912 + 0.997899i \(0.520638\pi\)
\(770\) −56.5715 + 33.1436i −2.03870 + 1.19441i
\(771\) 22.7705 + 5.19723i 0.820061 + 0.187174i
\(772\) 16.7163 16.9989i 0.601631 0.611805i