Properties

Label 192.2.s.a.35.10
Level $192$
Weight $2$
Character 192.35
Analytic conductor $1.533$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 192 = 2^{6} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 192.s (of order \(16\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.53312771881\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(30\) over \(\Q(\zeta_{16})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label 35.10
Character \(\chi\) \(=\) 192.35
Dual form 192.2.s.a.11.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.745539 + 1.20174i) q^{2} +(-1.61975 - 0.613518i) q^{3} +(-0.888342 - 1.79188i) q^{4} +(1.55377 + 1.03819i) q^{5} +(1.94488 - 1.48911i) q^{6} +(-0.159818 - 0.385836i) q^{7} +(2.81567 + 0.268367i) q^{8} +(2.24719 + 1.98749i) q^{9} +O(q^{10})\) \(q+(-0.745539 + 1.20174i) q^{2} +(-1.61975 - 0.613518i) q^{3} +(-0.888342 - 1.79188i) q^{4} +(1.55377 + 1.03819i) q^{5} +(1.94488 - 1.48911i) q^{6} +(-0.159818 - 0.385836i) q^{7} +(2.81567 + 0.268367i) q^{8} +(2.24719 + 1.98749i) q^{9} +(-2.40603 + 1.09320i) q^{10} +(0.211080 + 1.06117i) q^{11} +(0.339540 + 3.44742i) q^{12} +(2.60135 + 3.89319i) q^{13} +(0.582824 + 0.0955962i) q^{14} +(-1.87977 - 2.63488i) q^{15} +(-2.42170 + 3.18361i) q^{16} +(-1.09336 + 1.09336i) q^{17} +(-4.06381 + 1.21878i) q^{18} +(4.15676 + 6.22104i) q^{19} +(0.480047 - 3.70644i) q^{20} +(0.0221488 + 0.723010i) q^{21} +(-1.43262 - 0.537483i) q^{22} +(1.51848 - 3.66593i) q^{23} +(-4.39603 - 2.16215i) q^{24} +(-0.577071 - 1.39317i) q^{25} +(-6.61800 + 0.223607i) q^{26} +(-2.42053 - 4.59794i) q^{27} +(-0.549400 + 0.629130i) q^{28} +(7.27872 + 1.44783i) q^{29} +(4.56787 - 0.294576i) q^{30} -1.30933 q^{31} +(-2.02039 - 5.28375i) q^{32} +(0.309151 - 1.84834i) q^{33} +(-0.498788 - 2.12908i) q^{34} +(0.152252 - 0.765422i) q^{35} +(1.56509 - 5.79228i) q^{36} +(-5.71900 - 3.82132i) q^{37} +(-10.5751 + 0.357307i) q^{38} +(-1.82499 - 7.90198i) q^{39} +(4.09627 + 3.34019i) q^{40} +(4.35794 + 1.80512i) q^{41} +(-0.885380 - 0.512415i) q^{42} +(0.518320 + 2.60577i) q^{43} +(1.71399 - 1.32092i) q^{44} +(1.42821 + 5.42112i) q^{45} +(3.27340 + 4.55791i) q^{46} +(0.379125 + 0.379125i) q^{47} +(5.87575 - 3.67090i) q^{48} +(4.82642 - 4.82642i) q^{49} +(2.10446 + 0.345178i) q^{50} +(2.44177 - 1.10018i) q^{51} +(4.66526 - 8.11980i) q^{52} +(-9.70998 + 1.93143i) q^{53} +(7.33011 + 0.519111i) q^{54} +(-0.773734 + 1.86796i) q^{55} +(-0.346450 - 1.12928i) q^{56} +(-2.91620 - 12.6268i) q^{57} +(-7.16648 + 7.66769i) q^{58} +(6.01144 - 8.99675i) q^{59} +(-3.05153 + 5.70900i) q^{60} +(-1.92861 - 0.383624i) q^{61} +(0.976154 - 1.57346i) q^{62} +(0.407704 - 1.18468i) q^{63} +(7.85596 + 1.51127i) q^{64} +8.74982i q^{65} +(1.99073 + 1.74953i) q^{66} +(-1.89938 + 9.54885i) q^{67} +(2.93045 + 0.987898i) q^{68} +(-4.70868 + 5.00629i) q^{69} +(0.806326 + 0.753619i) q^{70} +(-12.7079 + 5.26377i) q^{71} +(5.79396 + 6.19919i) q^{72} +(-9.04685 - 3.74733i) q^{73} +(8.85596 - 4.02379i) q^{74} +(0.0799747 + 2.61064i) q^{75} +(7.45475 - 12.9748i) q^{76} +(0.375704 - 0.251037i) q^{77} +(10.8567 + 3.69808i) q^{78} +(-9.12078 - 9.12078i) q^{79} +(-7.06796 + 2.43240i) q^{80} +(1.09973 + 8.93256i) q^{81} +(-5.41829 + 3.89131i) q^{82} +(-6.43541 + 4.30000i) q^{83} +(1.27587 - 0.681968i) q^{84} +(-2.83395 + 0.563708i) q^{85} +(-3.51788 - 1.31982i) q^{86} +(-10.9014 - 6.81075i) q^{87} +(0.309548 + 3.04456i) q^{88} +(8.08539 - 3.34908i) q^{89} +(-7.57955 - 2.32533i) q^{90} +(1.08639 - 1.62590i) q^{91} +(-7.91785 + 0.535663i) q^{92} +(2.12078 + 0.803295i) q^{93} +(-0.738261 + 0.172956i) q^{94} +13.9816i q^{95} +(0.0308551 + 9.79791i) q^{96} -16.2446i q^{97} +(2.20180 + 9.39837i) q^{98} +(-1.63474 + 2.80418i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q - 8q^{3} - 16q^{4} - 8q^{6} - 16q^{7} - 8q^{9} + O(q^{10}) \) \( 240q - 8q^{3} - 16q^{4} - 8q^{6} - 16q^{7} - 8q^{9} - 16q^{10} - 8q^{12} - 16q^{13} - 8q^{15} - 16q^{16} - 8q^{18} - 16q^{19} - 8q^{21} - 16q^{22} - 48q^{24} - 16q^{25} - 8q^{27} - 16q^{28} - 88q^{30} - 32q^{31} - 16q^{34} - 88q^{36} - 16q^{37} - 8q^{39} - 16q^{40} - 48q^{42} - 16q^{43} - 8q^{45} - 16q^{46} - 8q^{48} - 16q^{49} - 8q^{51} + 32q^{52} - 8q^{54} - 80q^{55} - 8q^{57} + 128q^{58} - 8q^{60} - 16q^{61} + 80q^{64} - 24q^{66} - 144q^{67} - 8q^{69} + 80q^{70} - 8q^{72} - 16q^{73} - 8q^{75} + 96q^{76} + 16q^{78} - 48q^{79} - 8q^{81} + 64q^{82} + 104q^{84} - 16q^{85} - 8q^{87} + 64q^{88} + 136q^{90} - 16q^{91} - 32q^{93} + 80q^{94} + 128q^{96} - 8q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/192\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(133\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{11}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.745539 + 1.20174i −0.527176 + 0.849756i
\(3\) −1.61975 0.613518i −0.935164 0.354215i
\(4\) −0.888342 1.79188i −0.444171 0.895942i
\(5\) 1.55377 + 1.03819i 0.694866 + 0.464295i 0.852176 0.523255i \(-0.175282\pi\)
−0.157310 + 0.987549i \(0.550282\pi\)
\(6\) 1.94488 1.48911i 0.793992 0.607928i
\(7\) −0.159818 0.385836i −0.0604057 0.145832i 0.890795 0.454406i \(-0.150148\pi\)
−0.951200 + 0.308574i \(0.900148\pi\)
\(8\) 2.81567 + 0.268367i 0.995489 + 0.0948822i
\(9\) 2.24719 + 1.98749i 0.749064 + 0.662498i
\(10\) −2.40603 + 1.09320i −0.760854 + 0.345702i
\(11\) 0.211080 + 1.06117i 0.0636432 + 0.319956i 0.999472 0.0324997i \(-0.0103468\pi\)
−0.935829 + 0.352455i \(0.885347\pi\)
\(12\) 0.339540 + 3.44742i 0.0980166 + 0.995185i
\(13\) 2.60135 + 3.89319i 0.721484 + 1.07978i 0.993088 + 0.117368i \(0.0374457\pi\)
−0.271605 + 0.962409i \(0.587554\pi\)
\(14\) 0.582824 + 0.0955962i 0.155766 + 0.0255491i
\(15\) −1.87977 2.63488i −0.485354 0.680324i
\(16\) −2.42170 + 3.18361i −0.605424 + 0.795903i
\(17\) −1.09336 + 1.09336i −0.265179 + 0.265179i −0.827154 0.561975i \(-0.810042\pi\)
0.561975 + 0.827154i \(0.310042\pi\)
\(18\) −4.06381 + 1.21878i −0.957850 + 0.287268i
\(19\) 4.15676 + 6.22104i 0.953627 + 1.42720i 0.903562 + 0.428457i \(0.140943\pi\)
0.0500649 + 0.998746i \(0.484057\pi\)
\(20\) 0.480047 3.70644i 0.107342 0.828786i
\(21\) 0.0221488 + 0.723010i 0.00483327 + 0.157774i
\(22\) −1.43262 0.537483i −0.305436 0.114592i
\(23\) 1.51848 3.66593i 0.316625 0.764400i −0.682804 0.730602i \(-0.739240\pi\)
0.999429 0.0337981i \(-0.0107603\pi\)
\(24\) −4.39603 2.16215i −0.897336 0.441347i
\(25\) −0.577071 1.39317i −0.115414 0.278635i
\(26\) −6.61800 + 0.223607i −1.29790 + 0.0438529i
\(27\) −2.42053 4.59794i −0.465830 0.884874i
\(28\) −0.549400 + 0.629130i −0.103827 + 0.118894i
\(29\) 7.27872 + 1.44783i 1.35162 + 0.268855i 0.817196 0.576359i \(-0.195527\pi\)
0.534428 + 0.845214i \(0.320527\pi\)
\(30\) 4.56787 0.294576i 0.833976 0.0537819i
\(31\) −1.30933 −0.235162 −0.117581 0.993063i \(-0.537514\pi\)
−0.117581 + 0.993063i \(0.537514\pi\)
\(32\) −2.02039 5.28375i −0.357158 0.934044i
\(33\) 0.309151 1.84834i 0.0538163 0.321755i
\(34\) −0.498788 2.12908i −0.0855415 0.365134i
\(35\) 0.152252 0.765422i 0.0257353 0.129380i
\(36\) 1.56509 5.79228i 0.260848 0.965380i
\(37\) −5.71900 3.82132i −0.940199 0.628221i −0.0118493 0.999930i \(-0.503772\pi\)
−0.928349 + 0.371709i \(0.878772\pi\)
\(38\) −10.5751 + 0.357307i −1.71550 + 0.0579629i
\(39\) −1.82499 7.90198i −0.292233 1.26533i
\(40\) 4.09627 + 3.34019i 0.647678 + 0.528130i
\(41\) 4.35794 + 1.80512i 0.680595 + 0.281912i 0.696076 0.717968i \(-0.254928\pi\)
−0.0154804 + 0.999880i \(0.504928\pi\)
\(42\) −0.885380 0.512415i −0.136617 0.0790674i
\(43\) 0.518320 + 2.60577i 0.0790431 + 0.397377i 0.999971 + 0.00764307i \(0.00243289\pi\)
−0.920928 + 0.389734i \(0.872567\pi\)
\(44\) 1.71399 1.32092i 0.258393 0.199136i
\(45\) 1.42821 + 5.42112i 0.212904 + 0.808134i
\(46\) 3.27340 + 4.55791i 0.482636 + 0.672027i
\(47\) 0.379125 + 0.379125i 0.0553011 + 0.0553011i 0.734217 0.678915i \(-0.237550\pi\)
−0.678915 + 0.734217i \(0.737550\pi\)
\(48\) 5.87575 3.67090i 0.848092 0.529849i
\(49\) 4.82642 4.82642i 0.689489 0.689489i
\(50\) 2.10446 + 0.345178i 0.297615 + 0.0488155i
\(51\) 2.44177 1.10018i 0.341916 0.154056i
\(52\) 4.66526 8.11980i 0.646955 1.12601i
\(53\) −9.70998 + 1.93143i −1.33377 + 0.265303i −0.809936 0.586519i \(-0.800498\pi\)
−0.523832 + 0.851822i \(0.675498\pi\)
\(54\) 7.33011 + 0.519111i 0.997502 + 0.0706420i
\(55\) −0.773734 + 1.86796i −0.104330 + 0.251876i
\(56\) −0.346450 1.12928i −0.0462963 0.150906i
\(57\) −2.91620 12.6268i −0.386261 1.67246i
\(58\) −7.16648 + 7.66769i −0.941005 + 1.00682i
\(59\) 6.01144 8.99675i 0.782623 1.17128i −0.198917 0.980016i \(-0.563742\pi\)
0.981539 0.191261i \(-0.0612577\pi\)
\(60\) −3.05153 + 5.70900i −0.393951 + 0.737029i
\(61\) −1.92861 0.383624i −0.246933 0.0491181i 0.0700718 0.997542i \(-0.477677\pi\)
−0.317005 + 0.948424i \(0.602677\pi\)
\(62\) 0.976154 1.57346i 0.123972 0.199830i
\(63\) 0.407704 1.18468i 0.0513659 0.149256i
\(64\) 7.85596 + 1.51127i 0.981995 + 0.188908i
\(65\) 8.74982i 1.08528i
\(66\) 1.99073 + 1.74953i 0.245042 + 0.215352i
\(67\) −1.89938 + 9.54885i −0.232047 + 1.16658i 0.672465 + 0.740129i \(0.265236\pi\)
−0.904512 + 0.426449i \(0.859764\pi\)
\(68\) 2.93045 + 0.987898i 0.355370 + 0.119800i
\(69\) −4.70868 + 5.00629i −0.566858 + 0.602686i
\(70\) 0.806326 + 0.753619i 0.0963743 + 0.0900747i
\(71\) −12.7079 + 5.26377i −1.50814 + 0.624694i −0.975174 0.221440i \(-0.928924\pi\)
−0.532971 + 0.846134i \(0.678924\pi\)
\(72\) 5.79396 + 6.19919i 0.682825 + 0.730582i
\(73\) −9.04685 3.74733i −1.05885 0.438592i −0.215809 0.976435i \(-0.569239\pi\)
−0.843044 + 0.537844i \(0.819239\pi\)
\(74\) 8.85596 4.02379i 1.02948 0.467757i
\(75\) 0.0799747 + 2.61064i 0.00923469 + 0.301450i
\(76\) 7.45475 12.9748i 0.855118 1.48832i
\(77\) 0.375704 0.251037i 0.0428155 0.0286084i
\(78\) 10.8567 + 3.69808i 1.22928 + 0.418725i
\(79\) −9.12078 9.12078i −1.02617 1.02617i −0.999648 0.0265198i \(-0.991557\pi\)
−0.0265198 0.999648i \(-0.508443\pi\)
\(80\) −7.06796 + 2.43240i −0.790222 + 0.271951i
\(81\) 1.09973 + 8.93256i 0.122192 + 0.992506i
\(82\) −5.41829 + 3.89131i −0.598350 + 0.429723i
\(83\) −6.43541 + 4.30000i −0.706378 + 0.471986i −0.856146 0.516735i \(-0.827147\pi\)
0.149768 + 0.988721i \(0.452147\pi\)
\(84\) 1.27587 0.681968i 0.139209 0.0744088i
\(85\) −2.83395 + 0.563708i −0.307385 + 0.0611427i
\(86\) −3.51788 1.31982i −0.379343 0.142320i
\(87\) −10.9014 6.81075i −1.16876 0.730189i
\(88\) 0.309548 + 3.04456i 0.0329979 + 0.324551i
\(89\) 8.08539 3.34908i 0.857050 0.355002i 0.0894967 0.995987i \(-0.471474\pi\)
0.767553 + 0.640986i \(0.221474\pi\)
\(90\) −7.57955 2.32533i −0.798955 0.245112i
\(91\) 1.08639 1.62590i 0.113885 0.170440i
\(92\) −7.91785 + 0.535663i −0.825493 + 0.0558467i
\(93\) 2.12078 + 0.803295i 0.219915 + 0.0832978i
\(94\) −0.738261 + 0.172956i −0.0761459 + 0.0178390i
\(95\) 13.9816i 1.43448i
\(96\) 0.0308551 + 9.79791i 0.00314914 + 0.999995i
\(97\) 16.2446i 1.64939i −0.565575 0.824697i \(-0.691346\pi\)
0.565575 0.824697i \(-0.308654\pi\)
\(98\) 2.20180 + 9.39837i 0.222415 + 0.949379i
\(99\) −1.63474 + 2.80418i −0.164297 + 0.281831i
\(100\) −1.98377 + 2.27166i −0.198377 + 0.227166i
\(101\) −2.68254 + 4.01471i −0.266923 + 0.399478i −0.940583 0.339562i \(-0.889721\pi\)
0.673661 + 0.739041i \(0.264721\pi\)
\(102\) −0.498314 + 3.75459i −0.0493404 + 0.371760i
\(103\) 4.85601 2.01142i 0.478477 0.198192i −0.130392 0.991463i \(-0.541624\pi\)
0.608869 + 0.793271i \(0.291624\pi\)
\(104\) 6.27972 + 11.6600i 0.615777 + 1.14336i
\(105\) −0.716210 + 1.14638i −0.0698950 + 0.111876i
\(106\) 4.91810 13.1088i 0.477688 1.27324i
\(107\) 19.9047 3.95929i 1.92426 0.382759i 0.924259 0.381766i \(-0.124684\pi\)
1.00000 0.000993314i \(-0.000316182\pi\)
\(108\) −6.08872 + 8.42185i −0.585887 + 0.810392i
\(109\) −9.53799 + 6.37308i −0.913573 + 0.610430i −0.921009 0.389542i \(-0.872633\pi\)
0.00743521 + 0.999972i \(0.497633\pi\)
\(110\) −1.66795 2.32246i −0.159032 0.221438i
\(111\) 6.91892 + 9.69830i 0.656715 + 0.920522i
\(112\) 1.61538 + 0.425578i 0.152639 + 0.0402133i
\(113\) 4.21231 + 4.21231i 0.396261 + 0.396261i 0.876912 0.480651i \(-0.159600\pi\)
−0.480651 + 0.876912i \(0.659600\pi\)
\(114\) 17.3482 + 5.90925i 1.62481 + 0.553452i
\(115\) 6.16531 4.11953i 0.574918 0.384148i
\(116\) −3.87165 14.3288i −0.359474 1.33039i
\(117\) −1.89197 + 13.9189i −0.174913 + 1.28680i
\(118\) 6.32996 + 13.9316i 0.582720 + 1.28251i
\(119\) 0.596597 + 0.247119i 0.0546900 + 0.0226533i
\(120\) −4.58568 7.92342i −0.418613 0.723306i
\(121\) 9.08114 3.76153i 0.825558 0.341957i
\(122\) 1.89887 2.03167i 0.171916 0.183939i
\(123\) −5.95130 5.59751i −0.536611 0.504711i
\(124\) 1.16313 + 2.34616i 0.104452 + 0.210691i
\(125\) 2.37258 11.9277i 0.212210 1.06685i
\(126\) 1.11972 + 1.37318i 0.0997526 + 0.122333i
\(127\) 8.79200i 0.780164i 0.920780 + 0.390082i \(0.127553\pi\)
−0.920780 + 0.390082i \(0.872447\pi\)
\(128\) −7.67307 + 8.31408i −0.678210 + 0.734868i
\(129\) 0.759139 4.53870i 0.0668385 0.399611i
\(130\) −10.5150 6.52333i −0.922225 0.572134i
\(131\) 0.371117 + 0.0738198i 0.0324246 + 0.00644966i 0.211276 0.977426i \(-0.432238\pi\)
−0.178851 + 0.983876i \(0.557238\pi\)
\(132\) −3.58664 + 1.08799i −0.312177 + 0.0946977i
\(133\) 1.73597 2.59806i 0.150528 0.225281i
\(134\) −10.0591 9.40160i −0.868977 0.812175i
\(135\) 1.01262 9.65711i 0.0871525 0.831151i
\(136\) −3.37196 + 2.78512i −0.289143 + 0.238822i
\(137\) −0.649896 + 1.56899i −0.0555244 + 0.134048i −0.949207 0.314651i \(-0.898112\pi\)
0.893683 + 0.448699i \(0.148112\pi\)
\(138\) −2.50573 9.39097i −0.213302 0.799413i
\(139\) 11.1346 2.21480i 0.944422 0.187857i 0.301221 0.953554i \(-0.402606\pi\)
0.643201 + 0.765697i \(0.277606\pi\)
\(140\) −1.50680 + 0.407139i −0.127348 + 0.0344095i
\(141\) −0.381488 0.846689i −0.0321271 0.0713041i
\(142\) 3.14855 19.1958i 0.264220 1.61088i
\(143\) −3.58226 + 3.58226i −0.299563 + 0.299563i
\(144\) −11.7694 + 2.34107i −0.980785 + 0.195089i
\(145\) 9.80631 + 9.80631i 0.814370 + 0.814370i
\(146\) 11.2481 8.07815i 0.930898 0.668553i
\(147\) −10.7787 + 4.85650i −0.889012 + 0.400558i
\(148\) −1.76693 + 13.6424i −0.145240 + 1.12140i
\(149\) −3.78898 19.0485i −0.310405 1.56051i −0.749458 0.662052i \(-0.769686\pi\)
0.439053 0.898461i \(-0.355314\pi\)
\(150\) −3.19692 1.85022i −0.261028 0.151070i
\(151\) 7.68408 + 3.18285i 0.625322 + 0.259017i 0.672764 0.739857i \(-0.265107\pi\)
−0.0474423 + 0.998874i \(0.515107\pi\)
\(152\) 10.0345 + 18.6319i 0.813908 + 1.51125i
\(153\) −4.63004 + 0.283942i −0.374317 + 0.0229553i
\(154\) 0.0215787 + 0.638656i 0.00173886 + 0.0514643i
\(155\) −2.03439 1.35933i −0.163406 0.109184i
\(156\) −12.5382 + 10.2898i −1.00386 + 0.823846i
\(157\) 3.93877 19.8015i 0.314348 1.58033i −0.423839 0.905737i \(-0.639318\pi\)
0.738187 0.674596i \(-0.235682\pi\)
\(158\) 17.7607 4.16087i 1.41296 0.331021i
\(159\) 16.9127 + 2.82880i 1.34127 + 0.224339i
\(160\) 2.34634 10.3073i 0.185494 0.814862i
\(161\) −1.65713 −0.130600
\(162\) −11.5545 5.33799i −0.907805 0.419392i
\(163\) −15.2390 3.03122i −1.19361 0.237424i −0.441989 0.897020i \(-0.645727\pi\)
−0.751620 + 0.659597i \(0.770727\pi\)
\(164\) −0.636778 9.41248i −0.0497240 0.734991i
\(165\) 2.39928 2.55093i 0.186784 0.198590i
\(166\) −0.369620 10.9395i −0.0286880 0.849069i
\(167\) −2.30683 5.56917i −0.178508 0.430955i 0.809146 0.587607i \(-0.199930\pi\)
−0.987654 + 0.156652i \(0.949930\pi\)
\(168\) −0.131668 + 2.04170i −0.0101584 + 0.157520i
\(169\) −3.41505 + 8.24465i −0.262696 + 0.634204i
\(170\) 1.43539 3.82593i 0.110090 0.293435i
\(171\) −3.02324 + 22.2414i −0.231193 + 1.70084i
\(172\) 4.20880 3.24359i 0.320918 0.247321i
\(173\) −0.755889 1.13127i −0.0574692 0.0860087i 0.801622 0.597831i \(-0.203971\pi\)
−0.859091 + 0.511822i \(0.828971\pi\)
\(174\) 16.3122 8.02299i 1.23662 0.608221i
\(175\) −0.445309 + 0.445309i −0.0336622 + 0.0336622i
\(176\) −3.88954 1.89784i −0.293185 0.143055i
\(177\) −15.2567 + 10.8844i −1.14676 + 0.818120i
\(178\) −2.00327 + 12.2134i −0.150151 + 0.915431i
\(179\) 2.13257 + 3.19161i 0.159395 + 0.238552i 0.902568 0.430548i \(-0.141680\pi\)
−0.743172 + 0.669100i \(0.766680\pi\)
\(180\) 8.44529 7.37499i 0.629475 0.549699i
\(181\) 1.53549 + 7.71944i 0.114132 + 0.573781i 0.994954 + 0.100333i \(0.0319909\pi\)
−0.880822 + 0.473448i \(0.843009\pi\)
\(182\) 1.14395 + 2.51772i 0.0847955 + 0.186626i
\(183\) 2.88851 + 1.80461i 0.213525 + 0.133401i
\(184\) 5.25935 9.91453i 0.387724 0.730909i
\(185\) −4.91873 11.8749i −0.361633 0.873058i
\(186\) −2.54648 + 1.94973i −0.186717 + 0.142961i
\(187\) −1.39103 0.929458i −0.101722 0.0679687i
\(188\) 0.342556 1.01614i 0.0249834 0.0741097i
\(189\) −1.38721 + 1.66876i −0.100904 + 0.121385i
\(190\) −16.8022 10.4238i −1.21896 0.756223i
\(191\) 11.1504 0.806817 0.403409 0.915020i \(-0.367825\pi\)
0.403409 + 0.915020i \(0.367825\pi\)
\(192\) −11.7975 7.26765i −0.851412 0.524497i
\(193\) −3.53852 −0.254708 −0.127354 0.991857i \(-0.540648\pi\)
−0.127354 + 0.991857i \(0.540648\pi\)
\(194\) 19.5218 + 12.1110i 1.40158 + 0.869521i
\(195\) 5.36817 14.1725i 0.384423 1.01492i
\(196\) −12.9359 4.36087i −0.923993 0.311491i
\(197\) −19.4717 13.0105i −1.38730 0.926963i −0.999987 0.00501414i \(-0.998404\pi\)
−0.387311 0.921949i \(-0.626596\pi\)
\(198\) −2.15112 4.05515i −0.152874 0.288187i
\(199\) −1.16494 2.81241i −0.0825803 0.199367i 0.877196 0.480133i \(-0.159411\pi\)
−0.959776 + 0.280766i \(0.909411\pi\)
\(200\) −1.25096 4.07758i −0.0884561 0.288328i
\(201\) 8.93493 14.3015i 0.630221 1.00875i
\(202\) −2.82468 6.21683i −0.198744 0.437415i
\(203\) −0.604650 3.03978i −0.0424381 0.213351i
\(204\) −4.14052 3.39804i −0.289894 0.237910i
\(205\) 4.89716 + 7.32912i 0.342032 + 0.511888i
\(206\) −1.20314 + 7.33524i −0.0838270 + 0.511070i
\(207\) 10.6983 5.22008i 0.743586 0.362821i
\(208\) −18.6941 1.14645i −1.29620 0.0794921i
\(209\) −5.72419 + 5.72419i −0.395950 + 0.395950i
\(210\) −0.843688 1.71537i −0.0582200 0.118372i
\(211\) 6.66680 + 9.97757i 0.458961 + 0.686884i 0.986705 0.162519i \(-0.0519620\pi\)
−0.527744 + 0.849403i \(0.676962\pi\)
\(212\) 12.0867 + 15.6834i 0.830117 + 1.07714i
\(213\) 23.8130 0.729491i 1.63164 0.0499839i
\(214\) −10.0817 + 26.8720i −0.689171 + 1.83693i
\(215\) −1.89995 + 4.58688i −0.129575 + 0.312823i
\(216\) −5.58146 13.5959i −0.379770 0.925081i
\(217\) 0.209254 + 0.505185i 0.0142051 + 0.0342942i
\(218\) −0.547817 16.2135i −0.0371029 1.09812i
\(219\) 12.3546 + 11.6202i 0.834846 + 0.785217i
\(220\) 4.03451 0.272945i 0.272006 0.0184019i
\(221\) −7.10088 1.41245i −0.477657 0.0950118i
\(222\) −16.8131 + 1.08425i −1.12842 + 0.0727704i
\(223\) 13.6037 0.910969 0.455484 0.890244i \(-0.349466\pi\)
0.455484 + 0.890244i \(0.349466\pi\)
\(224\) −1.71576 + 1.62398i −0.114639 + 0.108507i
\(225\) 1.47213 4.27765i 0.0981423 0.285177i
\(226\) −8.20253 + 1.92164i −0.545624 + 0.127826i
\(227\) −0.238245 + 1.19774i −0.0158129 + 0.0794968i −0.987886 0.155182i \(-0.950404\pi\)
0.972073 + 0.234678i \(0.0754037\pi\)
\(228\) −20.0351 + 16.4424i −1.32686 + 1.08892i
\(229\) −13.9930 9.34985i −0.924686 0.617856i −0.000583505 1.00000i \(-0.500186\pi\)
−0.924103 + 0.382144i \(0.875186\pi\)
\(230\) 0.354107 + 10.4804i 0.0233491 + 0.691054i
\(231\) −0.762563 + 0.176117i −0.0501730 + 0.0115876i
\(232\) 20.1059 + 6.02997i 1.32002 + 0.395887i
\(233\) −13.2823 5.50170i −0.870150 0.360428i −0.0974815 0.995237i \(-0.531079\pi\)
−0.772669 + 0.634809i \(0.781079\pi\)
\(234\) −15.3163 12.6507i −1.00126 0.827005i
\(235\) 0.195467 + 0.982678i 0.0127509 + 0.0641029i
\(236\) −21.4614 2.77961i −1.39702 0.180937i
\(237\) 9.17763 + 20.3692i 0.596151 + 1.32312i
\(238\) −0.741758 + 0.532716i −0.0480810 + 0.0345308i
\(239\) −5.35176 5.35176i −0.346177 0.346177i 0.512507 0.858683i \(-0.328717\pi\)
−0.858683 + 0.512507i \(0.828717\pi\)
\(240\) 12.9407 + 0.396441i 0.835316 + 0.0255901i
\(241\) −4.50040 + 4.50040i −0.289896 + 0.289896i −0.837039 0.547143i \(-0.815715\pi\)
0.547143 + 0.837039i \(0.315715\pi\)
\(242\) −2.24998 + 13.7175i −0.144634 + 0.881795i
\(243\) 3.69900 15.1432i 0.237291 0.971439i
\(244\) 1.02585 + 3.79663i 0.0656736 + 0.243055i
\(245\) 12.5099 2.48837i 0.799228 0.158976i
\(246\) 11.1637 2.97873i 0.711769 0.189917i
\(247\) −13.4065 + 32.3661i −0.853035 + 2.05941i
\(248\) −3.68662 0.351380i −0.234101 0.0223127i
\(249\) 13.0619 3.01669i 0.827764 0.191175i
\(250\) 12.5652 + 11.7438i 0.794691 + 0.742744i
\(251\) −6.10665 + 9.13925i −0.385448 + 0.576864i −0.972563 0.232640i \(-0.925264\pi\)
0.587115 + 0.809504i \(0.300264\pi\)
\(252\) −2.48500 + 0.321847i −0.156540 + 0.0202744i
\(253\) 4.21071 + 0.837563i 0.264725 + 0.0526571i
\(254\) −10.5657 6.55478i −0.662949 0.411284i
\(255\) 4.93614 + 0.825614i 0.309113 + 0.0517019i
\(256\) −4.27076 15.4195i −0.266923 0.963718i
\(257\) 12.7130i 0.793015i 0.918032 + 0.396507i \(0.129778\pi\)
−0.918032 + 0.396507i \(0.870222\pi\)
\(258\) 4.88836 + 4.29607i 0.304336 + 0.267461i
\(259\) −0.560398 + 2.81731i −0.0348215 + 0.175059i
\(260\) 15.6787 7.77283i 0.972349 0.482050i
\(261\) 13.4791 + 17.7200i 0.834337 + 1.09684i
\(262\) −0.365394 + 0.390949i −0.0225741 + 0.0241529i
\(263\) 0.751076 0.311106i 0.0463133 0.0191836i −0.359407 0.933181i \(-0.617021\pi\)
0.405720 + 0.913997i \(0.367021\pi\)
\(264\) 1.36650 5.12134i 0.0841023 0.315197i
\(265\) −17.0923 7.07984i −1.04997 0.434911i
\(266\) 1.82795 + 4.02314i 0.112079 + 0.246674i
\(267\) −15.1510 + 0.464140i −0.927229 + 0.0284049i
\(268\) 18.7977 5.07917i 1.14825 0.310259i
\(269\) 10.4048 6.95224i 0.634389 0.423885i −0.196360 0.980532i \(-0.562912\pi\)
0.830750 + 0.556646i \(0.187912\pi\)
\(270\) 10.8504 + 8.41666i 0.660331 + 0.512221i
\(271\) −3.28666 3.28666i −0.199650 0.199650i 0.600200 0.799850i \(-0.295088\pi\)
−0.799850 + 0.600200i \(0.795088\pi\)
\(272\) −0.833047 6.12863i −0.0505109 0.371603i
\(273\) −2.75720 + 1.96703i −0.166873 + 0.119050i
\(274\) −1.40099 1.95075i −0.0846367 0.117849i
\(275\) 1.35659 0.906444i 0.0818054 0.0546606i
\(276\) 13.1536 + 3.99011i 0.791754 + 0.240176i
\(277\) 20.0739 3.99294i 1.20612 0.239913i 0.449209 0.893427i \(-0.351706\pi\)
0.756914 + 0.653514i \(0.226706\pi\)
\(278\) −5.63965 + 15.0321i −0.338244 + 0.901563i
\(279\) −2.94230 2.60228i −0.176151 0.155794i
\(280\) 0.634105 2.11431i 0.0378950 0.126354i
\(281\) 7.08026 2.93274i 0.422373 0.174953i −0.161365 0.986895i \(-0.551590\pi\)
0.583738 + 0.811942i \(0.301590\pi\)
\(282\) 1.30191 + 0.172791i 0.0775277 + 0.0102896i
\(283\) 15.8175 23.6725i 0.940250 1.40718i 0.0270673 0.999634i \(-0.491383\pi\)
0.913183 0.407550i \(-0.133617\pi\)
\(284\) 20.7210 + 18.0950i 1.22956 + 1.07374i
\(285\) 8.57795 22.6467i 0.508114 1.34147i
\(286\) −1.63422 6.97564i −0.0966332 0.412478i
\(287\) 1.96994i 0.116282i
\(288\) 5.96122 15.8891i 0.351268 0.936275i
\(289\) 14.6091i 0.859360i
\(290\) −19.0956 + 4.47361i −1.12133 + 0.262700i
\(291\) −9.96639 + 26.3123i −0.584240 + 1.54245i
\(292\) 1.32192 + 19.5398i 0.0773594 + 1.14348i
\(293\) −12.3196 + 18.4377i −0.719721 + 1.07714i 0.273609 + 0.961841i \(0.411782\pi\)
−0.993331 + 0.115298i \(0.963218\pi\)
\(294\) 2.19971 16.5739i 0.128289 0.966608i
\(295\) 18.6808 7.73782i 1.08764 0.450513i
\(296\) −15.0773 12.2943i −0.876350 0.714594i
\(297\) 4.36829 3.53913i 0.253474 0.205361i
\(298\) 25.7161 + 9.64805i 1.48969 + 0.558896i
\(299\) 18.2223 3.62463i 1.05382 0.209618i
\(300\) 4.60691 2.46244i 0.265980 0.142169i
\(301\) 0.922563 0.616437i 0.0531757 0.0355308i
\(302\) −9.55373 + 6.86130i −0.549755 + 0.394823i
\(303\) 6.80815 4.85704i 0.391118 0.279030i
\(304\) −29.8718 1.83195i −1.71326 0.105069i
\(305\) −2.59833 2.59833i −0.148780 0.148780i
\(306\) 3.11065 5.77578i 0.177824 0.330179i
\(307\) 7.83435 5.23474i 0.447130 0.298763i −0.311546 0.950231i \(-0.600847\pi\)
0.758676 + 0.651469i \(0.225847\pi\)
\(308\) −0.783584 0.450211i −0.0446488 0.0256532i
\(309\) −9.09957 + 0.278758i −0.517657 + 0.0158580i
\(310\) 3.15028 1.43136i 0.178924 0.0812958i
\(311\) −18.4427 7.63923i −1.04579 0.433181i −0.207403 0.978256i \(-0.566501\pi\)
−0.838387 + 0.545075i \(0.816501\pi\)
\(312\) −3.01794 22.7391i −0.170857 1.28735i
\(313\) −1.38125 + 0.572132i −0.0780727 + 0.0323388i −0.421378 0.906885i \(-0.638453\pi\)
0.343305 + 0.939224i \(0.388453\pi\)
\(314\) 20.8597 + 19.4962i 1.17718 + 1.10023i
\(315\) 1.86341 1.41745i 0.104991 0.0798642i
\(316\) −8.24101 + 24.4458i −0.463593 + 1.37518i
\(317\) −4.76553 + 23.9580i −0.267659 + 1.34561i 0.579803 + 0.814757i \(0.303130\pi\)
−0.847462 + 0.530856i \(0.821870\pi\)
\(318\) −16.0086 + 18.2157i −0.897717 + 1.02148i
\(319\) 8.02959i 0.449571i
\(320\) 10.6373 + 10.5042i 0.594646 + 0.587201i
\(321\) −34.6697 5.79883i −1.93508 0.323659i
\(322\) 1.23546 1.99143i 0.0688492 0.110978i
\(323\) −11.3467 2.25700i −0.631346 0.125583i
\(324\) 15.0292 9.90576i 0.834954 0.550320i
\(325\) 3.92273 5.87077i 0.217594 0.325652i
\(326\) 15.0040 16.0533i 0.830994 0.889113i
\(327\) 19.3592 4.47108i 1.07056 0.247251i
\(328\) 11.7861 + 6.25213i 0.650776 + 0.345216i
\(329\) 0.0856889 0.206871i 0.00472418 0.0114052i
\(330\) 1.27679 + 4.78513i 0.0702847 + 0.263413i
\(331\) −29.9631 + 5.96002i −1.64692 + 0.327593i −0.929436 0.368983i \(-0.879706\pi\)
−0.717483 + 0.696576i \(0.754706\pi\)
\(332\) 13.4219 + 7.71163i 0.736625 + 0.423231i
\(333\) −5.25685 19.9537i −0.288073 1.09346i
\(334\) 8.41251 + 1.37984i 0.460312 + 0.0755014i
\(335\) −12.8648 + 12.8648i −0.702877 + 0.702877i
\(336\) −2.35542 1.68040i −0.128499 0.0916732i
\(337\) 7.51787 + 7.51787i 0.409524 + 0.409524i 0.881573 0.472048i \(-0.156485\pi\)
−0.472048 + 0.881573i \(0.656485\pi\)
\(338\) −7.36185 10.2507i −0.400432 0.557565i
\(339\) −4.23857 9.40722i −0.230207 0.510930i
\(340\) 3.52762 + 4.57735i 0.191312 + 0.248241i
\(341\) −0.276373 1.38942i −0.0149664 0.0752414i
\(342\) −24.4744 20.2150i −1.32342 1.09310i
\(343\) −5.33441 2.20958i −0.288031 0.119306i
\(344\) 0.760113 + 7.47609i 0.0409826 + 0.403084i
\(345\) −12.5137 + 2.89008i −0.673714 + 0.155597i
\(346\) 1.92303 0.0649747i 0.103383 0.00349306i
\(347\) −9.43352 6.30328i −0.506418 0.338378i 0.275973 0.961165i \(-0.411000\pi\)
−0.782391 + 0.622788i \(0.786000\pi\)
\(348\) −2.51986 + 25.5844i −0.135079 + 1.37147i
\(349\) −1.09053 + 5.48249i −0.0583750 + 0.293471i −0.998934 0.0461592i \(-0.985302\pi\)
0.940559 + 0.339630i \(0.110302\pi\)
\(350\) −0.203149 0.867140i −0.0108588 0.0463506i
\(351\) 11.6040 21.3844i 0.619377 1.14142i
\(352\) 5.18051 3.25928i 0.276122 0.173720i
\(353\) 11.6534 0.620249 0.310125 0.950696i \(-0.399629\pi\)
0.310125 + 0.950696i \(0.399629\pi\)
\(354\) −1.70568 26.4493i −0.0906557 1.40576i
\(355\) −25.2099 5.01455i −1.33800 0.266145i
\(356\) −13.1838 11.5130i −0.698737 0.610185i
\(357\) −0.814727 0.766294i −0.0431199 0.0405566i
\(358\) −5.42539 + 0.183311i −0.286741 + 0.00968829i
\(359\) −3.22570 7.78753i −0.170246 0.411010i 0.815611 0.578601i \(-0.196401\pi\)
−0.985857 + 0.167591i \(0.946401\pi\)
\(360\) 2.56650 + 15.6474i 0.135266 + 0.824689i
\(361\) −14.1516 + 34.1650i −0.744822 + 1.79816i
\(362\) −10.4215 3.90989i −0.547742 0.205499i
\(363\) −17.0170 + 0.521301i −0.893159 + 0.0273612i
\(364\) −3.87850 0.502332i −0.203289 0.0263293i
\(365\) −10.1662 15.2149i −0.532126 0.796383i
\(366\) −4.32217 + 2.12582i −0.225923 + 0.111118i
\(367\) 2.55760 2.55760i 0.133506 0.133506i −0.637196 0.770702i \(-0.719906\pi\)
0.770702 + 0.637196i \(0.219906\pi\)
\(368\) 7.99361 + 13.7120i 0.416696 + 0.714789i
\(369\) 6.20545 + 12.7178i 0.323043 + 0.662063i
\(370\) 17.9376 + 2.94216i 0.932531 + 0.152956i
\(371\) 2.29705 + 3.43778i 0.119257 + 0.178481i
\(372\) −0.444568 4.51380i −0.0230498 0.234029i
\(373\) −5.12752 25.7778i −0.265493 1.33472i −0.851474 0.524397i \(-0.824291\pi\)
0.585981 0.810325i \(-0.300709\pi\)
\(374\) 2.15403 0.978707i 0.111382 0.0506077i
\(375\) −11.1609 + 17.8644i −0.576345 + 0.922512i
\(376\) 0.965745 + 1.16924i 0.0498045 + 0.0602987i
\(377\) 13.2978 + 32.1037i 0.684872 + 1.65343i
\(378\) −0.971195 2.91118i −0.0499529 0.149735i
\(379\) −29.4298 19.6644i −1.51171 1.01009i −0.987343 0.158597i \(-0.949303\pi\)
−0.524364 0.851494i \(-0.675697\pi\)
\(380\) 25.0534 12.4204i 1.28521 0.637154i
\(381\) 5.39405 14.2409i 0.276346 0.729581i
\(382\) −8.31309 + 13.3999i −0.425335 + 0.685598i
\(383\) −1.21040 −0.0618486 −0.0309243 0.999522i \(-0.509845\pi\)
−0.0309243 + 0.999522i \(0.509845\pi\)
\(384\) 17.5293 8.75918i 0.894539 0.446990i
\(385\) 0.844383 0.0430337
\(386\) 2.63811 4.25237i 0.134276 0.216440i
\(387\) −4.01419 + 6.88583i −0.204053 + 0.350026i
\(388\) −29.1085 + 14.4308i −1.47776 + 0.732613i
\(389\) 0.284535 + 0.190120i 0.0144265 + 0.00963949i 0.562763 0.826619i \(-0.309739\pi\)
−0.548336 + 0.836258i \(0.684739\pi\)
\(390\) 13.0295 + 17.0173i 0.659773 + 0.861705i
\(391\) 2.34794 + 5.66843i 0.118741 + 0.286665i
\(392\) 14.8848 12.2943i 0.751798 0.620958i
\(393\) −0.555828 0.347257i −0.0280378 0.0175168i
\(394\) 30.1521 13.6999i 1.51904 0.690193i
\(395\) −4.70243 23.6407i −0.236605 1.18949i
\(396\) 6.47697 + 0.438191i 0.325480 + 0.0220199i
\(397\) 19.5251 + 29.2213i 0.979935 + 1.46658i 0.881924 + 0.471391i \(0.156248\pi\)
0.0980106 + 0.995185i \(0.468752\pi\)
\(398\) 4.24829 + 0.696814i 0.212947 + 0.0349281i
\(399\) −4.40580 + 3.14317i −0.220566 + 0.157355i
\(400\) 5.83281 + 1.53667i 0.291641 + 0.0768336i
\(401\) 23.1584 23.1584i 1.15648 1.15648i 0.171248 0.985228i \(-0.445220\pi\)
0.985228 0.171248i \(-0.0547799\pi\)
\(402\) 10.5252 + 21.3997i 0.524952 + 1.06732i
\(403\) −3.40601 5.09745i −0.169665 0.253922i
\(404\) 9.57691 + 1.24037i 0.476469 + 0.0617108i
\(405\) −7.56500 + 15.0209i −0.375908 + 0.746392i
\(406\) 4.10381 + 1.53965i 0.203668 + 0.0764113i
\(407\) 2.84791 6.87546i 0.141166 0.340804i
\(408\) 7.17046 2.44244i 0.354991 0.120919i
\(409\) 1.93819 + 4.67920i 0.0958372 + 0.231371i 0.964527 0.263986i \(-0.0850372\pi\)
−0.868689 + 0.495357i \(0.835037\pi\)
\(410\) −12.4587 + 0.420950i −0.615291 + 0.0207892i
\(411\) 2.01527 2.14265i 0.0994061 0.105689i
\(412\) −7.91804 6.91457i −0.390094 0.340656i
\(413\) −4.43201 0.881581i −0.218085 0.0433798i
\(414\) −1.70287 + 16.7484i −0.0836914 + 0.823137i
\(415\) −14.4634 −0.709978
\(416\) 15.3149 21.6106i 0.750875 1.05955i
\(417\) −19.3941 3.24383i −0.949732 0.158851i
\(418\) −2.61136 11.1466i −0.127726 0.545197i
\(419\) 5.69288 28.6200i 0.278115 1.39818i −0.548847 0.835923i \(-0.684933\pi\)
0.826962 0.562258i \(-0.190067\pi\)
\(420\) 2.69043 + 0.264985i 0.131279 + 0.0129300i
\(421\) −2.22508 1.48675i −0.108444 0.0724599i 0.500166 0.865930i \(-0.333272\pi\)
−0.608610 + 0.793470i \(0.708272\pi\)
\(422\) −16.9608 + 0.573065i −0.825637 + 0.0278964i
\(423\) 0.0984573 + 1.60548i 0.00478716 + 0.0780609i
\(424\) −27.8584 + 2.83244i −1.35292 + 0.137555i
\(425\) 2.15419 + 0.892294i 0.104493 + 0.0432826i
\(426\) −16.8769 + 29.1608i −0.817687 + 1.41285i
\(427\) 0.160211 + 0.805437i 0.00775317 + 0.0389778i
\(428\) −24.7768 32.1497i −1.19763 1.55401i
\(429\) 8.00015 3.60459i 0.386251 0.174031i
\(430\) −4.09574 5.70294i −0.197514 0.275020i
\(431\) −5.33618 5.33618i −0.257035 0.257035i 0.566812 0.823847i \(-0.308177\pi\)
−0.823847 + 0.566812i \(0.808177\pi\)
\(432\) 20.4998 + 3.42880i 0.986299 + 0.164968i
\(433\) 5.90242 5.90242i 0.283652 0.283652i −0.550912 0.834564i \(-0.685720\pi\)
0.834564 + 0.550912i \(0.185720\pi\)
\(434\) −0.763106 0.125166i −0.0366303 0.00600818i
\(435\) −9.86744 21.9001i −0.473107 1.05003i
\(436\) 19.8928 + 11.4295i 0.952693 + 0.547373i
\(437\) 29.1179 5.79190i 1.39290 0.277064i
\(438\) −23.1752 + 6.18369i −1.10735 + 0.295468i
\(439\) 9.06518 21.8853i 0.432658 1.04453i −0.545769 0.837935i \(-0.683763\pi\)
0.978427 0.206593i \(-0.0662374\pi\)
\(440\) −2.67988 + 5.05191i −0.127758 + 0.240840i
\(441\) 20.4384 1.25340i 0.973256 0.0596858i
\(442\) 6.99138 7.48034i 0.332546 0.355804i
\(443\) −12.9127 + 19.3252i −0.613499 + 0.918166i −0.999991 0.00412643i \(-0.998687\pi\)
0.386492 + 0.922293i \(0.373687\pi\)
\(444\) 11.2319 21.0133i 0.533040 0.997247i
\(445\) 16.0398 + 3.19052i 0.760360 + 0.151245i
\(446\) −10.1421 + 16.3480i −0.480241 + 0.774101i
\(447\) −5.54939 + 33.1784i −0.262477 + 1.56929i
\(448\) −0.672427 3.27264i −0.0317692 0.154618i
\(449\) 30.4105i 1.43516i 0.696476 + 0.717580i \(0.254750\pi\)
−0.696476 + 0.717580i \(0.745250\pi\)
\(450\) 4.04307 + 4.95827i 0.190592 + 0.233735i
\(451\) −0.995666 + 5.00555i −0.0468841 + 0.235702i
\(452\) 3.80600 11.2899i 0.179019 0.531034i
\(453\) −10.4936 9.86975i −0.493031 0.463721i
\(454\) −1.26175 1.17927i −0.0592167 0.0553459i
\(455\) 3.37599 1.39838i 0.158269 0.0655572i
\(456\) −4.82244 36.3354i −0.225832 1.70156i
\(457\) −9.19465 3.80855i −0.430108 0.178156i 0.157118 0.987580i \(-0.449780\pi\)
−0.587225 + 0.809423i \(0.699780\pi\)
\(458\) 21.6684 9.84527i 1.01250 0.460039i
\(459\) 7.67372 + 2.38070i 0.358178 + 0.111122i
\(460\) −12.8586 7.38798i −0.599537 0.344466i
\(461\) −3.55212 + 2.37345i −0.165439 + 0.110543i −0.635533 0.772073i \(-0.719220\pi\)
0.470095 + 0.882616i \(0.344220\pi\)
\(462\) 0.356875 1.04770i 0.0166033 0.0487435i
\(463\) −24.5696 24.5696i −1.14185 1.14185i −0.988112 0.153737i \(-0.950869\pi\)
−0.153737 0.988112i \(-0.549131\pi\)
\(464\) −22.2362 + 19.6664i −1.03229 + 0.912990i
\(465\) 2.46123 + 3.44992i 0.114137 + 0.159986i
\(466\) 16.5140 11.8601i 0.764998 0.549407i
\(467\) 25.9545 17.3422i 1.20103 0.802502i 0.216254 0.976337i \(-0.430616\pi\)
0.984775 + 0.173835i \(0.0556160\pi\)
\(468\) 26.6218 8.97455i 1.23059 0.414849i
\(469\) 3.98784 0.793232i 0.184142 0.0366280i
\(470\) −1.32665 0.497726i −0.0611937 0.0229584i
\(471\) −18.5284 + 29.6570i −0.853744 + 1.36652i
\(472\) 19.3406 23.7186i 0.890225 1.09174i
\(473\) −2.65577 + 1.10006i −0.122112 + 0.0505806i
\(474\) −31.3207 4.15692i −1.43861 0.190934i
\(475\) 6.26823 9.38107i 0.287606 0.430433i
\(476\) −0.0871743 1.28856i −0.00399563 0.0590610i
\(477\) −25.6589 14.9582i −1.17484 0.684890i
\(478\) 10.4214 2.44146i 0.476662 0.111670i
\(479\) 12.3662i 0.565025i −0.959264 0.282512i \(-0.908832\pi\)
0.959264 0.282512i \(-0.0911678\pi\)
\(480\) −10.1242 + 15.2557i −0.462104 + 0.696325i
\(481\) 32.2057i 1.46846i
\(482\) −2.05307 8.76352i −0.0935148 0.399168i
\(483\) 2.68414 + 1.01668i 0.122132 + 0.0462605i
\(484\) −14.8074 12.9308i −0.673063 0.587765i
\(485\) 16.8651 25.2404i 0.765805 1.14611i
\(486\) 15.4404 + 15.7351i 0.700392 + 0.713758i
\(487\) 26.8010 11.1013i 1.21447 0.503049i 0.318821 0.947815i \(-0.396713\pi\)
0.895647 + 0.444766i \(0.146713\pi\)
\(488\) −5.32737 1.59773i −0.241159 0.0723260i
\(489\) 22.8237 + 14.2592i 1.03212 + 0.644824i
\(490\) −6.33625 + 16.8888i −0.286243 + 0.762957i
\(491\) −33.2845 + 6.62070i −1.50211 + 0.298788i −0.876520 0.481366i \(-0.840141\pi\)
−0.625588 + 0.780153i \(0.715141\pi\)
\(492\) −4.74330 + 15.6365i −0.213845 + 0.704950i
\(493\) −9.54127 + 6.37527i −0.429717 + 0.287128i
\(494\) −28.9005 40.2413i −1.30030 1.81054i
\(495\) −5.45129 + 2.65987i −0.245017 + 0.119552i
\(496\) 3.17079 4.16838i 0.142373 0.187166i
\(497\) 4.06190 + 4.06190i 0.182201 + 0.182201i
\(498\) −6.11288 + 17.9460i −0.273925 + 0.804180i
\(499\) −13.5941 + 9.08331i −0.608557 + 0.406625i −0.821311 0.570481i \(-0.806757\pi\)
0.212754 + 0.977106i \(0.431757\pi\)
\(500\) −23.4808 + 6.34454i −1.05009 + 0.283736i
\(501\) 0.319697 + 10.4360i 0.0142830 + 0.466244i
\(502\) −6.43022 14.1523i −0.286995 0.631646i
\(503\) 17.0658 + 7.06889i 0.760927 + 0.315186i 0.729191 0.684310i \(-0.239897\pi\)
0.0317356 + 0.999496i \(0.489897\pi\)
\(504\) 1.46589 3.22626i 0.0652959 0.143709i
\(505\) −8.33609 + 3.45292i −0.370951 + 0.153653i
\(506\) −4.14578 + 4.43573i −0.184302 + 0.197192i
\(507\) 10.5898 11.2591i 0.470308 0.500034i
\(508\) 15.7542 7.81030i 0.698982 0.346526i
\(509\) −5.19666 + 26.1254i −0.230338 + 1.15799i 0.676479 + 0.736462i \(0.263505\pi\)
−0.906817 + 0.421525i \(0.861495\pi\)
\(510\) −4.67226 + 5.31641i −0.206891 + 0.235415i
\(511\) 4.08949i 0.180908i
\(512\) 21.7142 + 6.36350i 0.959640 + 0.281230i
\(513\) 18.5424 34.1707i 0.818667 1.50867i
\(514\) −15.2777 9.47804i −0.673869 0.418058i
\(515\) 9.63336 + 1.91619i 0.424496 + 0.0844376i
\(516\) −8.80721 + 2.67163i −0.387716 + 0.117612i
\(517\) −0.322292 + 0.482344i −0.0141744 + 0.0212134i
\(518\) −2.96787 2.77387i −0.130401 0.121877i
\(519\) 0.530299 + 2.29612i 0.0232775 + 0.100789i
\(520\) −2.34816 + 24.6366i −0.102974 + 1.08039i
\(521\) −4.39754 + 10.6166i −0.192660 + 0.465122i −0.990460 0.137800i \(-0.955997\pi\)
0.797800 + 0.602922i \(0.205997\pi\)
\(522\) −31.3439 + 2.98742i −1.37189 + 0.130756i
\(523\) 36.3927 7.23897i 1.59134 0.316538i 0.681605 0.731720i \(-0.261282\pi\)
0.909738 + 0.415182i \(0.136282\pi\)
\(524\) −0.197402 0.730576i −0.00862356 0.0319154i
\(525\) 0.994496 0.448085i 0.0434034 0.0195560i
\(526\) −0.186089 + 1.13454i −0.00811388 + 0.0494682i
\(527\) 1.43157 1.43157i 0.0623600 0.0623600i
\(528\) 5.13572 + 5.46034i 0.223504 + 0.237631i
\(529\) 5.13017 + 5.13017i 0.223051 + 0.223051i
\(530\) 21.2511 15.2621i 0.923087 0.662943i
\(531\) 31.3898 8.26972i 1.36220 0.358875i
\(532\) −6.19757 0.802690i −0.268699 0.0348010i
\(533\) 4.30884 + 21.6620i 0.186637 + 0.938286i
\(534\) 10.7379 18.5536i 0.464676 0.802893i
\(535\) 35.0378 + 14.5131i 1.51481 + 0.627457i
\(536\) −7.91063 + 26.3766i −0.341687 + 1.13930i
\(537\) −1.49612 6.47798i −0.0645621 0.279546i
\(538\) 0.597601 + 17.6869i 0.0257644 + 0.762538i
\(539\) 6.14043 + 4.10291i 0.264487 + 0.176725i
\(540\) −18.2040 + 6.76431i −0.783374 + 0.291090i
\(541\) −2.58599 + 13.0007i −0.111181 + 0.558942i 0.884535 + 0.466474i \(0.154476\pi\)
−0.995716 + 0.0924686i \(0.970524\pi\)
\(542\) 6.40003 1.49936i 0.274905 0.0644032i
\(543\) 2.24890 13.4456i 0.0965096 0.577007i
\(544\) 7.98606 + 3.56803i 0.342400 + 0.152978i
\(545\) −21.4363 −0.918231
\(546\) −0.308251 4.77992i −0.0131919 0.204562i
\(547\) 7.74908 + 1.54139i 0.331327 + 0.0659049i 0.357950 0.933741i \(-0.383476\pi\)
−0.0266239 + 0.999646i \(0.508476\pi\)
\(548\) 3.38877 0.229259i 0.144761 0.00979347i
\(549\) −3.57150 4.69518i −0.152428 0.200385i
\(550\) 0.0779161 + 2.30605i 0.00332235 + 0.0983304i
\(551\) 21.2489 + 51.2994i 0.905235 + 2.18543i
\(552\) −14.6016 + 12.8324i −0.621485 + 0.546182i
\(553\) −2.06146 + 4.97679i −0.0876620 + 0.211635i
\(554\) −10.1674 + 27.1004i −0.431972 + 1.15139i
\(555\) 0.681674 + 22.2521i 0.0289355 + 0.944548i
\(556\) −13.8600 17.9844i −0.587794 0.762707i
\(557\) −15.2965 22.8928i −0.648134 0.970000i −0.999431 0.0337364i \(-0.989259\pi\)
0.351297 0.936264i \(-0.385741\pi\)
\(558\) 5.32085 1.59577i 0.225250 0.0675545i
\(559\) −8.79644 + 8.79644i −0.372050 + 0.372050i
\(560\) 2.06810 + 2.33833i 0.0873931 + 0.0988125i
\(561\) 1.68289 + 2.35892i 0.0710516 + 0.0995935i
\(562\) −1.75423 + 10.6951i −0.0739978 + 0.451145i
\(563\) 14.0340 + 21.0034i 0.591463 + 0.885187i 0.999616 0.0277269i \(-0.00882688\pi\)
−0.408153 + 0.912914i \(0.633827\pi\)
\(564\) −1.17828 + 1.43573i −0.0496144 + 0.0604552i
\(565\) 2.17175 + 10.9181i 0.0913664 + 0.459330i
\(566\) 16.6556 + 36.6572i 0.700086 + 1.54082i
\(567\) 3.27074 1.85190i 0.137358 0.0777726i
\(568\) −37.1937 + 11.4106i −1.56061 + 0.478780i
\(569\) 11.2443 + 27.1460i 0.471384 + 1.13802i 0.963552 + 0.267521i \(0.0862044\pi\)
−0.492168 + 0.870500i \(0.663796\pi\)
\(570\) 20.8201 + 27.1924i 0.872059 + 1.13897i
\(571\) 13.6981 + 9.15280i 0.573249 + 0.383033i 0.808141 0.588989i \(-0.200474\pi\)
−0.234892 + 0.972021i \(0.575474\pi\)
\(572\) 9.60126 + 3.23672i 0.401449 + 0.135334i
\(573\) −18.0609 6.84100i −0.754507 0.285787i
\(574\) 2.36735 + 1.46867i 0.0988112 + 0.0613010i
\(575\) −5.98355 −0.249531
\(576\) 14.6502 + 19.0098i 0.610425 + 0.792074i
\(577\) 16.6429 0.692854 0.346427 0.938077i \(-0.387395\pi\)
0.346427 + 0.938077i \(0.387395\pi\)
\(578\) −17.5563 10.8917i −0.730247 0.453034i
\(579\) 5.73153 + 2.17095i 0.238194 + 0.0902215i
\(580\) 8.86042 26.2831i 0.367909 1.09135i
\(581\) 2.68759 + 1.79579i 0.111500 + 0.0745020i
\(582\) −24.1901 31.5938i −1.00271 1.30961i
\(583\) −4.09917 9.89628i −0.169770 0.409862i
\(584\) −24.4673 12.9791i −1.01246 0.537079i
\(585\) −17.3902 + 19.6625i −0.718997 + 0.812945i
\(586\) −12.9724 28.5510i −0.535886 1.17943i
\(587\) 4.31446 + 21.6903i 0.178077 + 0.895253i 0.961718 + 0.274040i \(0.0883599\pi\)
−0.783642 + 0.621213i \(0.786640\pi\)
\(588\) 18.2775 + 14.9999i 0.753750 + 0.618587i
\(589\) −5.44255 8.14536i −0.224257 0.335624i
\(590\) −4.62842 + 28.2182i −0.190549 + 1.16172i
\(591\) 23.5570 + 33.0201i 0.969007 + 1.35826i
\(592\) 26.0153 8.95302i 1.06922 0.367967i
\(593\) 16.7792 16.7792i 0.689038 0.689038i −0.272981 0.962019i \(-0.588010\pi\)
0.962019 + 0.272981i \(0.0880098\pi\)
\(594\) 0.996377 + 7.88809i 0.0408818 + 0.323652i
\(595\) 0.670416 + 1.00335i 0.0274844 + 0.0411333i
\(596\) −30.7668 + 23.7110i −1.26026 + 0.971240i
\(597\) 0.161446 + 5.27012i 0.00660754 + 0.215692i
\(598\) −9.22956 + 24.6007i −0.377425 + 1.00600i
\(599\) 12.1713 29.3840i 0.497304 1.20060i −0.453626 0.891192i \(-0.649870\pi\)
0.950930 0.309406i \(-0.100130\pi\)
\(600\) −0.475427 + 7.37215i −0.0194092 + 0.300967i
\(601\) 4.40982 + 10.6463i 0.179880 + 0.434270i 0.987941 0.154829i \(-0.0494828\pi\)
−0.808061 + 0.589099i \(0.799483\pi\)
\(602\) 0.0529877 + 1.56826i 0.00215962 + 0.0639174i
\(603\) −23.2466 + 17.6831i −0.946673 + 0.720110i
\(604\) −1.12279 16.5964i −0.0456857 0.675300i
\(605\) 18.0152 + 3.58344i 0.732421 + 0.145688i
\(606\) 0.761141 + 11.8027i 0.0309192 + 0.479453i
\(607\) −14.8380 −0.602255 −0.301128 0.953584i \(-0.597363\pi\)
−0.301128 + 0.953584i \(0.597363\pi\)
\(608\) 24.4721 34.5322i 0.992475 1.40047i
\(609\) −0.885578 + 5.29465i −0.0358854 + 0.214550i
\(610\) 5.05967 1.18535i 0.204860 0.0479935i
\(611\) −0.489771 + 2.46224i −0.0198140 + 0.0996117i
\(612\) 4.62185 + 8.04426i 0.186827 + 0.325170i
\(613\) −19.1975 12.8274i −0.775381 0.518093i 0.103790 0.994599i \(-0.466903\pi\)
−0.879171 + 0.476506i \(0.841903\pi\)
\(614\) 0.449968 + 13.3175i 0.0181592 + 0.537452i
\(615\) −3.43563 14.8758i −0.138538 0.599852i
\(616\) 1.12523 0.606011i 0.0453367 0.0244169i
\(617\) −19.4169 8.04275i −0.781696 0.323789i −0.0440962 0.999027i \(-0.514041\pi\)
−0.737600 + 0.675238i \(0.764041\pi\)
\(618\) 6.44910 11.1431i 0.259421 0.448242i
\(619\) −2.16722 10.8953i −0.0871079 0.437921i −0.999585 0.0287940i \(-0.990833\pi\)
0.912477 0.409127i \(-0.134167\pi\)
\(620\) −0.628538 + 4.85294i −0.0252427 + 0.194899i
\(621\) −20.5313 + 1.89161i −0.823891 + 0.0759077i
\(622\) 22.9301 16.4680i 0.919414 0.660305i
\(623\) −2.58439 2.58439i −0.103541 0.103541i
\(624\) 29.5764 + 13.3261i 1.18400 + 0.533472i
\(625\) 10.7383 10.7383i 0.429532 0.429532i
\(626\) 0.342223 2.08644i 0.0136780 0.0833910i
\(627\) 12.7837 5.75987i 0.510530 0.230027i
\(628\) −38.9810 + 10.5327i −1.55551 + 0.420301i
\(629\) 10.4310 2.07486i 0.415912 0.0827300i
\(630\) 0.314154 + 3.29609i 0.0125162 + 0.131319i
\(631\) −0.659241 + 1.59155i −0.0262440 + 0.0633585i −0.936458 0.350779i \(-0.885917\pi\)
0.910214 + 0.414138i \(0.135917\pi\)
\(632\) −23.2334 28.1288i −0.924173 1.11890i
\(633\) −4.67714 20.2514i −0.185899 0.804920i
\(634\) −25.2383 23.5885i −1.00234 0.936820i
\(635\) −9.12781 + 13.6607i −0.362226 + 0.542109i
\(636\) −9.95539 32.8186i −0.394757 1.30134i
\(637\) 31.3454 + 6.23498i 1.24195 + 0.247039i
\(638\) −9.64945 5.98638i −0.382026 0.237003i
\(639\) −39.0187 13.4281i −1.54355 0.531208i
\(640\) −20.5538 + 4.95202i −0.812460 + 0.195746i
\(641\) 43.2196i 1.70707i −0.521035 0.853535i \(-0.674454\pi\)
0.521035 0.853535i \(-0.325546\pi\)
\(642\) 32.8163 37.3406i 1.29516 1.47372i
\(643\) −5.01480 + 25.2111i −0.197765 + 0.994230i 0.746586 + 0.665289i \(0.231692\pi\)
−0.944351 + 0.328941i \(0.893308\pi\)
\(644\) 1.47210 + 2.96938i 0.0580088 + 0.117010i
\(645\) 5.89158 6.26396i 0.231981 0.246643i
\(646\) 11.1717 11.9530i 0.439545 0.470286i
\(647\) −22.2652 + 9.22255i −0.875336 + 0.362576i −0.774686 0.632346i \(-0.782092\pi\)
−0.100650 + 0.994922i \(0.532092\pi\)
\(648\) 0.699269 + 25.4462i 0.0274699 + 0.999623i
\(649\) 10.8160 + 4.48014i 0.424566 + 0.175861i
\(650\) 4.13058 + 9.09098i 0.162015 + 0.356577i
\(651\) −0.0290000 0.946655i −0.00113660 0.0371023i
\(652\) 8.10583 + 29.9992i 0.317449 + 1.17486i
\(653\) −17.1291 + 11.4453i −0.670314 + 0.447889i −0.843593 0.536983i \(-0.819564\pi\)
0.173279 + 0.984873i \(0.444564\pi\)
\(654\) −9.05997 + 26.5980i −0.354273 + 1.04006i
\(655\) 0.499990 + 0.499990i 0.0195362 + 0.0195362i
\(656\) −16.3004 + 9.50253i −0.636423 + 0.371011i
\(657\) −12.8822 26.4015i −0.502583 1.03002i
\(658\) 0.184720 + 0.257206i 0.00720115 + 0.0100269i
\(659\) −2.27271 + 1.51858i −0.0885324 + 0.0591554i −0.599049 0.800713i \(-0.704454\pi\)
0.510516 + 0.859868i \(0.329454\pi\)
\(660\) −6.70236 2.03314i −0.260889 0.0791399i
\(661\) 9.49701 1.88907i 0.369391 0.0734764i −0.00690453 0.999976i \(-0.502198\pi\)
0.376295 + 0.926500i \(0.377198\pi\)
\(662\) 15.1763 40.4511i 0.589842 1.57218i
\(663\) 10.6351 + 6.64434i 0.413033 + 0.258045i
\(664\) −19.2739 + 10.3803i −0.747974 + 0.402834i
\(665\) 5.39459 2.23451i 0.209193 0.0866507i
\(666\) 27.8983 + 8.55894i 1.08104 + 0.331652i
\(667\) 16.3602 24.4848i 0.633470 0.948055i
\(668\) −7.93006 + 9.08089i −0.306823 + 0.351350i
\(669\) −22.0346 8.34610i −0.851905 0.322679i
\(670\) −5.86887 25.0512i −0.226734 0.967814i
\(671\) 2.12756i 0.0821337i
\(672\) 3.77545 1.57779i 0.145641 0.0608646i
\(673\) 9.33053i 0.359665i 0.983697 + 0.179833i \(0.0575556\pi\)
−0.983697 + 0.179833i \(0.942444\pi\)
\(674\) −14.6394 + 3.42963i −0.563887 + 0.132104i
\(675\) −5.00891 + 6.02555i −0.192793 + 0.231923i
\(676\) 17.8072 1.20470i 0.684892 0.0463347i
\(677\) −25.5295 + 38.2076i −0.981177 + 1.46844i −0.100376 + 0.994950i \(0.532005\pi\)
−0.880801 + 0.473486i \(0.842995\pi\)
\(678\) 14.4650 + 1.91982i 0.555526 + 0.0737301i
\(679\) −6.26777 + 2.59619i −0.240535 + 0.0996328i
\(680\) −8.13074 + 0.826674i −0.311800 + 0.0317015i
\(681\) 1.12073 1.79387i 0.0429466 0.0687414i
\(682\) 1.87577 + 0.703741i 0.0718268 + 0.0269476i
\(683\) 15.3278 3.04889i 0.586503 0.116663i 0.107086 0.994250i \(-0.465848\pi\)
0.479417 + 0.877587i \(0.340848\pi\)
\(684\) 42.5397 14.3407i 1.62654 0.548329i
\(685\) −2.63870 + 1.76312i −0.100820 + 0.0673655i
\(686\) 6.63235 4.76322i 0.253224 0.181861i
\(687\) 16.9289 + 23.7294i 0.645880 + 0.905334i
\(688\) −9.55098 4.66026i −0.364128 0.177671i
\(689\) −32.7785 32.7785i −1.24876 1.24876i
\(690\) 5.85633 17.1928i 0.222946 0.654520i
\(691\) −2.32753 + 1.55521i −0.0885436 + 0.0591629i −0.599054 0.800709i \(-0.704456\pi\)
0.510510 + 0.859872i \(0.329456\pi\)
\(692\) −1.35561 + 2.35942i −0.0515327 + 0.0896916i
\(693\) 1.34321 + 0.182581i 0.0510245 + 0.00693567i
\(694\) 14.6079 6.63727i 0.554510 0.251947i
\(695\) 19.5999 + 8.11856i 0.743468 + 0.307955i
\(696\) −28.8671 22.1024i −1.09420 0.837789i
\(697\) −6.73844 + 2.79115i −0.255237 + 0.105722i
\(698\) −5.77547 5.39794i −0.218605 0.204315i
\(699\) 18.1386 + 17.0603i 0.686064 + 0.645280i
\(700\) 1.19353 + 0.402356i 0.0451112 + 0.0152076i
\(701\) 3.87641 19.4880i 0.146410 0.736052i −0.835914 0.548861i \(-0.815062\pi\)
0.982324 0.187191i \(-0.0599383\pi\)
\(702\) 17.0472 + 29.8879i 0.643404 + 1.12805i
\(703\) 51.4624i 1.94094i
\(704\) 0.0545249 + 8.65553i 0.00205498 + 0.326218i
\(705\) 0.286283 1.71162i 0.0107821 0.0644632i
\(706\) −8.68809 + 14.0043i −0.326980 + 0.527061i
\(707\) 1.97774 + 0.393397i 0.0743805 + 0.0147952i
\(708\) 33.0567 + 17.6692i 1.24235 + 0.664049i
\(709\) −18.0277 + 26.9804i −0.677045 + 1.01327i 0.320767 + 0.947158i \(0.396059\pi\)
−0.997812 + 0.0661113i \(0.978941\pi\)
\(710\) 24.8211 26.5571i 0.931520 0.996669i
\(711\) −2.36863 38.6236i −0.0888306 1.44850i
\(712\) 23.6645 7.26003i 0.886866 0.272081i
\(713\) −1.98818 + 4.79990i −0.0744580 + 0.179758i
\(714\) 1.52829 0.407785i 0.0571950 0.0152610i
\(715\) −9.28507 + 1.84692i −0.347242 + 0.0690707i
\(716\) 3.82455 6.65655i 0.142930 0.248767i
\(717\) 5.38512 + 11.9519i 0.201111 + 0.446353i
\(718\) 11.7634 + 1.92947i 0.439008 + 0.0720071i
\(719\) 1.45736 1.45736i 0.0543505 0.0543505i −0.679409 0.733760i \(-0.737764\pi\)
0.733760 + 0.679409i \(0.237764\pi\)
\(720\) −20.7174 8.58147i −0.772093 0.319813i
\(721\) −1.55216 1.55216i −0.0578054 0.0578054i
\(722\) −30.5068 42.4779i −1.13534 1.58086i
\(723\) 10.0506 4.52845i 0.373786 0.168415i
\(724\) 12.4683 9.60893i 0.463381 0.357113i
\(725\) −2.18326 10.9760i −0.0810844 0.407639i
\(726\) 12.0603 20.8386i 0.447602 0.773391i
\(727\) −40.4130 16.7396i −1.49883 0.620837i −0.525616 0.850722i \(-0.676165\pi\)
−0.973218 + 0.229885i \(0.926165\pi\)
\(728\) 3.49525 4.28643i 0.129543 0.158866i
\(729\) −15.2821 + 22.2589i −0.566004 + 0.824403i
\(730\) 25.8636 0.873871i 0.957255 0.0323434i
\(731\) −3.41576 2.28234i −0.126337 0.0844154i
\(732\) 0.667675 6.77898i 0.0246780 0.250558i
\(733\) −5.01311 + 25.2026i −0.185163 + 0.930880i 0.770729 + 0.637163i \(0.219892\pi\)
−0.955893 + 0.293717i \(0.905108\pi\)
\(734\) 1.16677 + 4.98035i 0.0430663 + 0.183828i
\(735\) −21.7896 3.64450i −0.803721 0.134430i
\(736\) −22.4378 0.616644i −0.827068 0.0227298i
\(737\) −10.5339 −0.388021
\(738\) −19.9099 2.02431i −0.732893 0.0745159i
\(739\) 19.8215 + 3.94273i 0.729144 + 0.145036i 0.545684 0.837991i \(-0.316270\pi\)
0.183460 + 0.983027i \(0.441270\pi\)
\(740\) −16.9089 + 19.3628i −0.621583 + 0.711789i
\(741\) 41.5724 44.2000i 1.52720 1.62373i
\(742\) −5.84385 + 0.197450i −0.214534 + 0.00724861i
\(743\) 6.99983 + 16.8991i 0.256799 + 0.619967i 0.998723 0.0505163i \(-0.0160867\pi\)
−0.741924 + 0.670484i \(0.766087\pi\)
\(744\) 5.75584 + 2.83096i 0.211019 + 0.103788i
\(745\) 13.8888 33.5306i 0.508848 1.22847i
\(746\) 34.8008 + 13.0564i 1.27415 + 0.478029i
\(747\) −23.0078 3.12741i −0.841812 0.114426i
\(748\) −0.429769 + 3.31825i −0.0157139 + 0.121327i
\(749\) −4.70877 7.04717i −0.172055 0.257498i
\(750\) −13.1474 26.7310i −0.480075 0.976079i
\(751\) −15.6818 + 15.6818i −0.572236 + 0.572236i −0.932753 0.360517i \(-0.882600\pi\)
0.360517 + 0.932753i \(0.382600\pi\)
\(752\) −2.12511 + 0.288861i −0.0774949 + 0.0105337i
\(753\) 15.4983 11.0568i 0.564791 0.402931i
\(754\) −48.4943 7.95415i −1.76606 0.289673i
\(755\) 8.63486 + 12.9230i 0.314255 + 0.470315i
\(756\) 4.22254 + 1.00328i 0.153572 + 0.0364890i
\(757\) 2.99099 + 15.0367i 0.108709 + 0.546518i 0.996304 + 0.0858937i \(0.0273746\pi\)
−0.887595 + 0.460625i \(0.847625\pi\)
\(758\) 45.5725 20.7063i 1.65527 0.752087i
\(759\) −6.30645 3.93999i −0.228909 0.143013i
\(760\) −3.75220 + 39.3674i −0.136106 + 1.42801i
\(761\) −17.8467 43.0858i −0.646944 1.56186i −0.817133 0.576449i \(-0.804438\pi\)
0.170190 0.985411i \(-0.445562\pi\)
\(762\) 13.0923 + 17.0994i 0.474283 + 0.619444i
\(763\) 3.98331 + 2.66156i 0.144205 + 0.0963550i
\(764\) −9.90540 19.9803i −0.358365 0.722862i
\(765\) −7.48879 4.36570i −0.270758 0.157842i
\(766\) 0.902402 1.45458i 0.0326051 0.0525562i
\(767\) 50.6639 1.82937
\(768\) −2.54256 + 27.5959i −0.0917468 + 0.995782i
\(769\) 18.2208 0.657058 0.328529 0.944494i \(-0.393447\pi\)
0.328529 + 0.944494i \(0.393447\pi\)
\(770\) −0.629520 + 1.01473i −0.0226863 + 0.0365682i
\(771\) 7.79965 20.5919i 0.280898 0.741599i
\(772\) 3.14342 + 6.34062i 0.113134 + 0.228204i
\(773\) 34.7208 + 23.1997i 1.24882 + 0.834435i 0.991272