Properties

Label 930.2.br.a.11.16
Level $930$
Weight $2$
Character 930.11
Analytic conductor $7.426$
Analytic rank $0$
Dimension $176$
CM no
Inner twists $4$

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 930.br (of order \(30\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(7.42608738798\)
Analytic rank: \(0\)
Dimension: \(176\)
Relative dimension: \(22\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 11.16
Character \(\chi\) \(=\) 930.11
Dual form 930.2.br.a.761.16

$q$-expansion

\(f(q)\) \(=\) \(q+(0.951057 - 0.309017i) q^{2} +(-0.587767 + 1.62927i) q^{3} +(0.809017 - 0.587785i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(-0.0555271 + 1.73116i) q^{6} +(-0.309626 - 2.94590i) q^{7} +(0.587785 - 0.809017i) q^{8} +(-2.30906 - 1.91527i) q^{9} +O(q^{10})\) \(q+(0.951057 - 0.309017i) q^{2} +(-0.587767 + 1.62927i) q^{3} +(0.809017 - 0.587785i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(-0.0555271 + 1.73116i) q^{6} +(-0.309626 - 2.94590i) q^{7} +(0.587785 - 0.809017i) q^{8} +(-2.30906 - 1.91527i) q^{9} +(-0.669131 + 0.743145i) q^{10} +(-0.630734 - 0.280821i) q^{11} +(0.482149 + 1.66359i) q^{12} +(-0.960045 - 4.51666i) q^{13} +(-1.20480 - 2.70604i) q^{14} +(-0.305615 - 1.70488i) q^{15} +(0.309017 - 0.951057i) q^{16} +(2.12963 - 0.948174i) q^{17} +(-2.78790 - 1.10799i) q^{18} +(-0.844454 - 0.179494i) q^{19} +(-0.406737 + 0.913545i) q^{20} +(4.98166 + 1.22704i) q^{21} +(-0.686642 - 0.0721689i) q^{22} +(-0.00251392 - 0.00182647i) q^{23} +(0.972628 + 1.43318i) q^{24} +(0.500000 - 0.866025i) q^{25} +(-2.30878 - 3.99892i) q^{26} +(4.47768 - 2.63635i) q^{27} +(-1.98205 - 2.20129i) q^{28} +(-2.51022 - 7.72566i) q^{29} +(-0.817492 - 1.52699i) q^{30} +(-5.16920 - 2.06867i) q^{31} -1.00000i q^{32} +(0.828258 - 0.862580i) q^{33} +(1.73240 - 1.55986i) q^{34} +(1.74109 + 2.39641i) q^{35} +(-2.99383 - 0.192253i) q^{36} +(0.876733 + 0.506182i) q^{37} +(-0.858591 + 0.0902415i) q^{38} +(7.92315 + 1.09057i) q^{39} +(-0.104528 + 0.994522i) q^{40} +(2.95825 + 2.66362i) q^{41} +(5.11702 - 0.372436i) q^{42} +(-0.490022 + 2.30537i) q^{43} +(-0.675336 + 0.143547i) q^{44} +(2.95734 + 0.504140i) q^{45} +(-0.00295529 - 0.000960231i) q^{46} +(10.3956 + 3.37775i) q^{47} +(1.36790 + 1.06247i) q^{48} +(-1.73542 + 0.368874i) q^{49} +(0.207912 - 0.978148i) q^{50} +(0.293105 + 4.02706i) q^{51} +(-3.43152 - 3.08975i) q^{52} +(-0.465783 + 4.43163i) q^{53} +(3.44385 - 3.89100i) q^{54} +(0.686642 - 0.0721689i) q^{55} +(-2.56528 - 1.48106i) q^{56} +(0.788788 - 1.27035i) q^{57} +(-4.77472 - 6.57184i) q^{58} +(6.90993 - 6.22172i) q^{59} +(-1.24935 - 1.19964i) q^{60} -4.47690i q^{61} +(-5.55545 - 0.370056i) q^{62} +(-4.92724 + 7.39527i) q^{63} +(-0.309017 - 0.951057i) q^{64} +(3.08975 + 3.43152i) q^{65} +(0.521168 - 1.07631i) q^{66} +(-6.17417 - 10.6940i) q^{67} +(1.16559 - 2.01886i) q^{68} +(0.00445341 - 0.00302232i) q^{69} +(2.39641 + 1.74109i) q^{70} +(-1.89851 - 0.199542i) q^{71} +(-2.90671 + 0.742302i) q^{72} +(-0.242796 + 0.545329i) q^{73} +(0.990242 + 0.210482i) q^{74} +(1.11711 + 1.32366i) q^{75} +(-0.788682 + 0.351144i) q^{76} +(-0.631977 + 1.94503i) q^{77} +(7.87236 - 1.41119i) q^{78} +(-3.21842 - 7.22868i) q^{79} +(0.207912 + 0.978148i) q^{80} +(1.66351 + 8.84493i) q^{81} +(3.63656 + 1.61910i) q^{82} +(-6.89351 + 7.65602i) q^{83} +(4.75148 - 1.93545i) q^{84} +(-1.37023 + 1.88596i) q^{85} +(0.246360 + 2.34396i) q^{86} +(14.0626 + 0.451060i) q^{87} +(-0.597925 + 0.345212i) q^{88} +(-2.82405 + 2.05179i) q^{89} +(2.96838 - 0.434401i) q^{90} +(-13.0084 + 4.22667i) q^{91} -0.00310737 q^{92} +(6.40872 - 7.20613i) q^{93} +10.9306 q^{94} +(0.821066 - 0.266781i) q^{95} +(1.62927 + 0.587767i) q^{96} +(-8.31828 + 6.04358i) q^{97} +(-1.53649 + 0.887094i) q^{98} +(0.918554 + 1.85645i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 176q + 44q^{4} + 4q^{7} - 4q^{9} + O(q^{10}) \) \( 176q + 44q^{4} + 4q^{7} - 4q^{9} - 22q^{10} - 38q^{13} - 44q^{16} + 12q^{18} + 8q^{19} - 18q^{21} - 4q^{22} + 88q^{25} - 90q^{27} + 36q^{28} + 24q^{31} + 18q^{33} + 14q^{34} + 4q^{36} - 42q^{37} - 42q^{39} + 22q^{40} - 12q^{42} - 34q^{43} - 8q^{45} + 10q^{46} + 22q^{49} + 26q^{51} - 2q^{52} + 4q^{55} + 114q^{57} + 32q^{63} + 44q^{64} - 42q^{66} + 20q^{67} + 16q^{69} + 8q^{70} - 12q^{72} - 28q^{73} + 12q^{76} - 92q^{78} - 56q^{79} - 124q^{81} - 32q^{82} - 12q^{84} - 36q^{87} - 6q^{88} + 24q^{90} - 140q^{91} - 104q^{93} - 36q^{94} + 88q^{97} - 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).

\(n\) \(187\) \(311\) \(871\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{23}{30}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.951057 0.309017i 0.672499 0.218508i
\(3\) −0.587767 + 1.62927i −0.339348 + 0.940661i
\(4\) 0.809017 0.587785i 0.404508 0.293893i
\(5\) −0.866025 + 0.500000i −0.387298 + 0.223607i
\(6\) −0.0555271 + 1.73116i −0.0226689 + 0.706743i
\(7\) −0.309626 2.94590i −0.117028 1.11345i −0.882610 0.470107i \(-0.844215\pi\)
0.765582 0.643338i \(-0.222451\pi\)
\(8\) 0.587785 0.809017i 0.207813 0.286031i
\(9\) −2.30906 1.91527i −0.769686 0.638422i
\(10\) −0.669131 + 0.743145i −0.211598 + 0.235003i
\(11\) −0.630734 0.280821i −0.190173 0.0846706i 0.309441 0.950919i \(-0.399858\pi\)
−0.499614 + 0.866248i \(0.666525\pi\)
\(12\) 0.482149 + 1.66359i 0.139184 + 0.480237i
\(13\) −0.960045 4.51666i −0.266269 1.25269i −0.884441 0.466652i \(-0.845460\pi\)
0.618172 0.786043i \(-0.287873\pi\)
\(14\) −1.20480 2.70604i −0.321998 0.723219i
\(15\) −0.305615 1.70488i −0.0789094 0.440197i
\(16\) 0.309017 0.951057i 0.0772542 0.237764i
\(17\) 2.12963 0.948174i 0.516512 0.229966i −0.131890 0.991264i \(-0.542104\pi\)
0.648402 + 0.761298i \(0.275438\pi\)
\(18\) −2.78790 1.10799i −0.657113 0.261155i
\(19\) −0.844454 0.179494i −0.193731 0.0411788i 0.110024 0.993929i \(-0.464907\pi\)
−0.303755 + 0.952750i \(0.598241\pi\)
\(20\) −0.406737 + 0.913545i −0.0909491 + 0.204275i
\(21\) 4.98166 + 1.22704i 1.08709 + 0.267762i
\(22\) −0.686642 0.0721689i −0.146392 0.0153865i
\(23\) −0.00251392 0.00182647i −0.000524188 0.000380845i 0.587523 0.809207i \(-0.300103\pi\)
−0.588047 + 0.808827i \(0.700103\pi\)
\(24\) 0.972628 + 1.43318i 0.198537 + 0.292546i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) −2.30878 3.99892i −0.452789 0.784254i
\(27\) 4.47768 2.63635i 0.861730 0.507367i
\(28\) −1.98205 2.20129i −0.374572 0.416004i
\(29\) −2.51022 7.72566i −0.466136 1.43462i −0.857548 0.514404i \(-0.828013\pi\)
0.391412 0.920216i \(-0.371987\pi\)
\(30\) −0.817492 1.52699i −0.149253 0.278789i
\(31\) −5.16920 2.06867i −0.928415 0.371545i
\(32\) 1.00000i 0.176777i
\(33\) 0.828258 0.862580i 0.144181 0.150156i
\(34\) 1.73240 1.55986i 0.297104 0.267514i
\(35\) 1.74109 + 2.39641i 0.294299 + 0.405067i
\(36\) −2.99383 0.192253i −0.498972 0.0320421i
\(37\) 0.876733 + 0.506182i 0.144134 + 0.0832159i 0.570333 0.821414i \(-0.306814\pi\)
−0.426199 + 0.904630i \(0.640148\pi\)
\(38\) −0.858591 + 0.0902415i −0.139282 + 0.0146391i
\(39\) 7.92315 + 1.09057i 1.26872 + 0.174631i
\(40\) −0.104528 + 0.994522i −0.0165274 + 0.157248i
\(41\) 2.95825 + 2.66362i 0.462000 + 0.415987i 0.866983 0.498337i \(-0.166056\pi\)
−0.404983 + 0.914324i \(0.632723\pi\)
\(42\) 5.11702 0.372436i 0.789573 0.0574681i
\(43\) −0.490022 + 2.30537i −0.0747276 + 0.351566i −0.999587 0.0287439i \(-0.990849\pi\)
0.924859 + 0.380310i \(0.124183\pi\)
\(44\) −0.675336 + 0.143547i −0.101811 + 0.0216406i
\(45\) 2.95734 + 0.504140i 0.440854 + 0.0751528i
\(46\) −0.00295529 0.000960231i −0.000435733 0.000141578i
\(47\) 10.3956 + 3.37775i 1.51636 + 0.492695i 0.944739 0.327823i \(-0.106315\pi\)
0.571620 + 0.820518i \(0.306315\pi\)
\(48\) 1.36790 + 1.06247i 0.197439 + 0.153355i
\(49\) −1.73542 + 0.368874i −0.247917 + 0.0526963i
\(50\) 0.207912 0.978148i 0.0294032 0.138331i
\(51\) 0.293105 + 4.02706i 0.0410429 + 0.563901i
\(52\) −3.43152 3.08975i −0.475866 0.428471i
\(53\) −0.465783 + 4.43163i −0.0639802 + 0.608731i 0.914813 + 0.403879i \(0.132338\pi\)
−0.978793 + 0.204853i \(0.934328\pi\)
\(54\) 3.44385 3.89100i 0.468649 0.529498i
\(55\) 0.686642 0.0721689i 0.0925867 0.00973126i
\(56\) −2.56528 1.48106i −0.342799 0.197915i
\(57\) 0.788788 1.27035i 0.104478 0.168261i
\(58\) −4.77472 6.57184i −0.626952 0.862925i
\(59\) 6.90993 6.22172i 0.899596 0.810000i −0.0828474 0.996562i \(-0.526401\pi\)
0.982443 + 0.186563i \(0.0597347\pi\)
\(60\) −1.24935 1.19964i −0.161290 0.154872i
\(61\) 4.47690i 0.573208i −0.958049 0.286604i \(-0.907474\pi\)
0.958049 0.286604i \(-0.0925265\pi\)
\(62\) −5.55545 0.370056i −0.705543 0.0469972i
\(63\) −4.92724 + 7.39527i −0.620773 + 0.931717i
\(64\) −0.309017 0.951057i −0.0386271 0.118882i
\(65\) 3.08975 + 3.43152i 0.383236 + 0.425627i
\(66\) 0.521168 1.07631i 0.0641514 0.132484i
\(67\) −6.17417 10.6940i −0.754295 1.30648i −0.945724 0.324970i \(-0.894646\pi\)
0.191430 0.981506i \(-0.438688\pi\)
\(68\) 1.16559 2.01886i 0.141348 0.244822i
\(69\) 0.00445341 0.00302232i 0.000536128 0.000363844i
\(70\) 2.39641 + 1.74109i 0.286426 + 0.208100i
\(71\) −1.89851 0.199542i −0.225312 0.0236812i −0.00880025 0.999961i \(-0.502801\pi\)
−0.216512 + 0.976280i \(0.569468\pi\)
\(72\) −2.90671 + 0.742302i −0.342560 + 0.0874812i
\(73\) −0.242796 + 0.545329i −0.0284171 + 0.0638259i −0.927196 0.374575i \(-0.877788\pi\)
0.898779 + 0.438401i \(0.144455\pi\)
\(74\) 0.990242 + 0.210482i 0.115113 + 0.0244681i
\(75\) 1.11711 + 1.32366i 0.128992 + 0.152843i
\(76\) −0.788682 + 0.351144i −0.0904680 + 0.0402790i
\(77\) −0.631977 + 1.94503i −0.0720205 + 0.221656i
\(78\) 7.87236 1.41119i 0.891370 0.159786i
\(79\) −3.21842 7.22868i −0.362100 0.813290i −0.999100 0.0424258i \(-0.986491\pi\)
0.637000 0.770864i \(-0.280175\pi\)
\(80\) 0.207912 + 0.978148i 0.0232452 + 0.109360i
\(81\) 1.66351 + 8.84493i 0.184834 + 0.982770i
\(82\) 3.63656 + 1.61910i 0.401591 + 0.178800i
\(83\) −6.89351 + 7.65602i −0.756661 + 0.840357i −0.991286 0.131729i \(-0.957947\pi\)
0.234625 + 0.972086i \(0.424614\pi\)
\(84\) 4.75148 1.93545i 0.518429 0.211175i
\(85\) −1.37023 + 1.88596i −0.148622 + 0.204561i
\(86\) 0.246360 + 2.34396i 0.0265657 + 0.252756i
\(87\) 14.0626 + 0.451060i 1.50767 + 0.0483587i
\(88\) −0.597925 + 0.345212i −0.0637390 + 0.0367997i
\(89\) −2.82405 + 2.05179i −0.299349 + 0.217490i −0.727313 0.686306i \(-0.759231\pi\)
0.427964 + 0.903796i \(0.359231\pi\)
\(90\) 2.96838 0.434401i 0.312895 0.0457899i
\(91\) −13.0084 + 4.22667i −1.36365 + 0.443075i
\(92\) −0.00310737 −0.000323966
\(93\) 6.40872 7.20613i 0.664553 0.747241i
\(94\) 10.9306 1.12741
\(95\) 0.821066 0.266781i 0.0842396 0.0273711i
\(96\) 1.62927 + 0.587767i 0.166287 + 0.0599888i
\(97\) −8.31828 + 6.04358i −0.844593 + 0.613633i −0.923650 0.383237i \(-0.874809\pi\)
0.0790567 + 0.996870i \(0.474809\pi\)
\(98\) −1.53649 + 0.887094i −0.155209 + 0.0896100i
\(99\) 0.918554 + 1.85645i 0.0923182 + 0.186581i
\(100\) −0.104528 0.994522i −0.0104528 0.0994522i
\(101\) 5.13792 7.07173i 0.511242 0.703664i −0.472886 0.881123i \(-0.656788\pi\)
0.984128 + 0.177460i \(0.0567879\pi\)
\(102\) 1.52319 + 3.73939i 0.150818 + 0.370255i
\(103\) −7.52831 + 8.36103i −0.741786 + 0.823837i −0.989430 0.145014i \(-0.953677\pi\)
0.247643 + 0.968851i \(0.420344\pi\)
\(104\) −4.21835 1.87813i −0.413643 0.184166i
\(105\) −4.92776 + 1.42818i −0.480900 + 0.139377i
\(106\) 0.926463 + 4.35867i 0.0899861 + 0.423351i
\(107\) 4.70138 + 10.5595i 0.454500 + 1.02082i 0.984908 + 0.173081i \(0.0553721\pi\)
−0.530408 + 0.847743i \(0.677961\pi\)
\(108\) 2.07291 4.76477i 0.199466 0.458490i
\(109\) 6.20347 19.0923i 0.594185 1.82871i 0.0354424 0.999372i \(-0.488716\pi\)
0.558742 0.829341i \(-0.311284\pi\)
\(110\) 0.630734 0.280821i 0.0601381 0.0267752i
\(111\) −1.34002 + 1.13092i −0.127189 + 0.107342i
\(112\) −2.89740 0.615861i −0.273778 0.0581933i
\(113\) −3.13828 + 7.04868i −0.295224 + 0.663084i −0.998873 0.0474636i \(-0.984886\pi\)
0.703649 + 0.710548i \(0.251553\pi\)
\(114\) 0.357624 1.45192i 0.0334945 0.135985i
\(115\) 0.00309035 0.000324809i 0.000288177 3.02886e-5i
\(116\) −6.57184 4.77472i −0.610180 0.443322i
\(117\) −6.43380 + 12.2680i −0.594805 + 1.13417i
\(118\) 4.64911 8.05250i 0.427985 0.741292i
\(119\) −3.45262 5.98011i −0.316501 0.548195i
\(120\) −1.55891 0.754853i −0.142308 0.0689083i
\(121\) −7.04147 7.82035i −0.640134 0.710941i
\(122\) −1.38344 4.25779i −0.125251 0.385482i
\(123\) −6.07852 + 3.25420i −0.548082 + 0.293422i
\(124\) −5.39790 + 1.36479i −0.484746 + 0.122561i
\(125\) 1.00000i 0.0894427i
\(126\) −2.40082 + 8.55592i −0.213882 + 0.762222i
\(127\) −15.3221 + 13.7961i −1.35962 + 1.22421i −0.409506 + 0.912307i \(0.634299\pi\)
−0.950115 + 0.311901i \(0.899034\pi\)
\(128\) −0.587785 0.809017i −0.0519534 0.0715077i
\(129\) −3.46806 2.15340i −0.305346 0.189596i
\(130\) 3.99892 + 2.30878i 0.350729 + 0.202493i
\(131\) 14.4710 1.52096i 1.26434 0.132887i 0.551474 0.834192i \(-0.314066\pi\)
0.712861 + 0.701305i \(0.247399\pi\)
\(132\) 0.163063 1.18468i 0.0141928 0.103113i
\(133\) −0.267307 + 2.54325i −0.0231784 + 0.220528i
\(134\) −9.17660 8.26265i −0.792738 0.713784i
\(135\) −2.55961 + 4.52199i −0.220296 + 0.389191i
\(136\) 0.484678 2.28023i 0.0415608 0.195528i
\(137\) −4.99555 + 1.06184i −0.426799 + 0.0907189i −0.416303 0.909226i \(-0.636674\pi\)
−0.0104959 + 0.999945i \(0.503341\pi\)
\(138\) 0.00330150 0.00425058i 0.000281042 0.000361833i
\(139\) −4.38568 1.42499i −0.371989 0.120866i 0.117056 0.993125i \(-0.462654\pi\)
−0.489044 + 0.872259i \(0.662654\pi\)
\(140\) 2.81715 + 0.915347i 0.238093 + 0.0773610i
\(141\) −11.6135 + 14.9520i −0.978032 + 1.25919i
\(142\) −1.86725 + 0.396897i −0.156696 + 0.0333068i
\(143\) −0.662838 + 3.11841i −0.0554293 + 0.260774i
\(144\) −2.53507 + 1.60420i −0.211255 + 0.133683i
\(145\) 6.03675 + 5.43551i 0.501325 + 0.451395i
\(146\) −0.0623969 + 0.593667i −0.00516400 + 0.0491322i
\(147\) 0.419025 3.04428i 0.0345606 0.251088i
\(148\) 1.00682 0.105821i 0.0827600 0.00869843i
\(149\) −7.51618 4.33947i −0.615749 0.355503i 0.159463 0.987204i \(-0.449024\pi\)
−0.775212 + 0.631701i \(0.782357\pi\)
\(150\) 1.47147 + 0.913668i 0.120145 + 0.0746007i
\(151\) 13.8048 + 19.0007i 1.12342 + 1.54625i 0.800004 + 0.599994i \(0.204831\pi\)
0.323414 + 0.946258i \(0.395169\pi\)
\(152\) −0.641572 + 0.577674i −0.0520383 + 0.0468555i
\(153\) −6.73346 1.88943i −0.544368 0.152751i
\(154\) 2.04512i 0.164801i
\(155\) 5.51099 0.793074i 0.442654 0.0637012i
\(156\) 7.05098 3.77482i 0.564530 0.302228i
\(157\) −1.03270 3.17833i −0.0824185 0.253658i 0.901353 0.433086i \(-0.142575\pi\)
−0.983771 + 0.179428i \(0.942575\pi\)
\(158\) −5.29468 5.88034i −0.421222 0.467815i
\(159\) −6.94656 3.36366i −0.550898 0.266755i
\(160\) 0.500000 + 0.866025i 0.0395285 + 0.0684653i
\(161\) −0.00460221 + 0.00797127i −0.000362705 + 0.000628224i
\(162\) 4.31532 + 7.89797i 0.339044 + 0.620524i
\(163\) 16.4947 + 11.9841i 1.29197 + 0.938668i 0.999843 0.0177130i \(-0.00563852\pi\)
0.292122 + 0.956381i \(0.405639\pi\)
\(164\) 3.95891 + 0.416098i 0.309139 + 0.0324918i
\(165\) −0.286003 + 1.16114i −0.0222653 + 0.0903950i
\(166\) −4.19028 + 9.41152i −0.325229 + 0.730476i
\(167\) 10.1156 + 2.15014i 0.782771 + 0.166383i 0.581928 0.813240i \(-0.302299\pi\)
0.200843 + 0.979623i \(0.435632\pi\)
\(168\) 3.92084 3.30901i 0.302499 0.255296i
\(169\) −7.60240 + 3.38481i −0.584800 + 0.260370i
\(170\) −0.720373 + 2.21708i −0.0552501 + 0.170042i
\(171\) 1.60612 + 2.03182i 0.122823 + 0.155377i
\(172\) 0.958627 + 2.15311i 0.0730946 + 0.164173i
\(173\) −4.25903 20.0372i −0.323808 1.52340i −0.775571 0.631260i \(-0.782538\pi\)
0.451763 0.892138i \(-0.350795\pi\)
\(174\) 13.5138 3.91661i 1.02447 0.296917i
\(175\) −2.70604 1.20480i −0.204557 0.0910747i
\(176\) −0.461984 + 0.513085i −0.0348233 + 0.0386752i
\(177\) 6.07546 + 14.9151i 0.456659 + 1.12109i
\(178\) −2.05179 + 2.82405i −0.153788 + 0.211672i
\(179\) 1.40972 + 13.4126i 0.105367 + 1.00250i 0.911649 + 0.410970i \(0.134810\pi\)
−0.806282 + 0.591532i \(0.798523\pi\)
\(180\) 2.68886 1.33042i 0.200416 0.0991637i
\(181\) 8.31904 4.80300i 0.618349 0.357004i −0.157877 0.987459i \(-0.550465\pi\)
0.776226 + 0.630455i \(0.217132\pi\)
\(182\) −11.0656 + 8.03961i −0.820234 + 0.595935i
\(183\) 7.29409 + 2.63138i 0.539195 + 0.194517i
\(184\) −0.00295529 0.000960231i −0.000217867 7.07892e-5i
\(185\) −1.01236 −0.0744305
\(186\) 3.86824 8.83384i 0.283633 0.647729i
\(187\) −1.60950 −0.117698
\(188\) 10.3956 3.37775i 0.758180 0.246348i
\(189\) −9.15284 12.3745i −0.665771 0.900113i
\(190\) 0.698441 0.507447i 0.0506702 0.0368141i
\(191\) 2.67383 1.54374i 0.193472 0.111701i −0.400135 0.916456i \(-0.631037\pi\)
0.593607 + 0.804755i \(0.297703\pi\)
\(192\) 1.73116 + 0.0555271i 0.124936 + 0.00400732i
\(193\) −0.234825 2.23421i −0.0169030 0.160822i 0.982814 0.184597i \(-0.0590980\pi\)
−0.999717 + 0.0237754i \(0.992431\pi\)
\(194\) −6.04358 + 8.31828i −0.433904 + 0.597218i
\(195\) −7.40693 + 3.01711i −0.530421 + 0.216060i
\(196\) −1.18716 + 1.31848i −0.0847974 + 0.0941770i
\(197\) −16.3397 7.27491i −1.16416 0.518316i −0.268594 0.963253i \(-0.586559\pi\)
−0.895561 + 0.444938i \(0.853226\pi\)
\(198\) 1.44727 + 1.48174i 0.102853 + 0.105303i
\(199\) 0.602835 + 2.83612i 0.0427339 + 0.201047i 0.994335 0.106287i \(-0.0338963\pi\)
−0.951602 + 0.307334i \(0.900563\pi\)
\(200\) −0.406737 0.913545i −0.0287606 0.0645974i
\(201\) 21.0524 3.77383i 1.48492 0.266186i
\(202\) 2.70116 8.31332i 0.190053 0.584923i
\(203\) −21.9818 + 9.78692i −1.54282 + 0.686907i
\(204\) 2.60417 + 3.08568i 0.182329 + 0.216041i
\(205\) −3.89372 0.827637i −0.271950 0.0578047i
\(206\) −4.57615 + 10.2782i −0.318835 + 0.716115i
\(207\) 0.00230661 + 0.00903224i 0.000160320 + 0.000627784i
\(208\) −4.59227 0.482667i −0.318416 0.0334669i
\(209\) 0.482220 + 0.350353i 0.0333559 + 0.0242344i
\(210\) −4.24525 + 2.88105i −0.292950 + 0.198811i
\(211\) 3.15415 5.46315i 0.217141 0.376099i −0.736792 0.676120i \(-0.763660\pi\)
0.953933 + 0.300021i \(0.0969936\pi\)
\(212\) 2.22802 + 3.85905i 0.153021 + 0.265040i
\(213\) 1.44099 2.97591i 0.0987351 0.203906i
\(214\) 7.73434 + 8.58985i 0.528708 + 0.587190i
\(215\) −0.728314 2.24152i −0.0496706 0.152870i
\(216\) 0.499059 5.17213i 0.0339567 0.351919i
\(217\) −4.49358 + 15.8684i −0.305044 + 1.07722i
\(218\) 20.0749i 1.35964i
\(219\) −0.745782 0.716108i −0.0503953 0.0483901i
\(220\) 0.513085 0.461984i 0.0345922 0.0311469i
\(221\) −6.32712 8.70853i −0.425608 0.585799i
\(222\) −0.924965 + 1.48966i −0.0620796 + 0.0999794i
\(223\) 21.4152 + 12.3641i 1.43407 + 0.827960i 0.997428 0.0716761i \(-0.0228348\pi\)
0.436641 + 0.899636i \(0.356168\pi\)
\(224\) −2.94590 + 0.309626i −0.196831 + 0.0206878i
\(225\) −2.81320 + 1.04207i −0.187547 + 0.0694713i
\(226\) −0.806515 + 7.67348i −0.0536486 + 0.510432i
\(227\) 9.71196 + 8.74469i 0.644606 + 0.580406i 0.925227 0.379413i \(-0.123874\pi\)
−0.280622 + 0.959818i \(0.590541\pi\)
\(228\) −0.108547 1.49137i −0.00718873 0.0987683i
\(229\) 3.52908 16.6030i 0.233208 1.09716i −0.693232 0.720715i \(-0.743814\pi\)
0.926440 0.376443i \(-0.122853\pi\)
\(230\) 0.00303947 0.000646059i 0.000200417 4.25999e-5i
\(231\) −2.79752 2.17289i −0.184063 0.142965i
\(232\) −7.72566 2.51022i −0.507215 0.164804i
\(233\) 12.8828 + 4.18586i 0.843977 + 0.274225i 0.698921 0.715199i \(-0.253664\pi\)
0.145056 + 0.989423i \(0.453664\pi\)
\(234\) −2.32790 + 13.6557i −0.152179 + 0.892700i
\(235\) −10.6918 + 2.27260i −0.697454 + 0.148248i
\(236\) 1.93321 9.09503i 0.125841 0.592036i
\(237\) 13.6692 0.994894i 0.887908 0.0646253i
\(238\) −5.13159 4.62050i −0.332631 0.299503i
\(239\) −0.978883 + 9.31345i −0.0633187 + 0.602437i 0.916149 + 0.400837i \(0.131281\pi\)
−0.979468 + 0.201600i \(0.935386\pi\)
\(240\) −1.71587 0.236178i −0.110759 0.0152453i
\(241\) −0.486597 + 0.0511435i −0.0313445 + 0.00329444i −0.120188 0.992751i \(-0.538350\pi\)
0.0888432 + 0.996046i \(0.471683\pi\)
\(242\) −9.11346 5.26166i −0.585835 0.338232i
\(243\) −15.3886 2.48846i −0.987176 0.159635i
\(244\) −2.63146 3.62189i −0.168462 0.231868i
\(245\) 1.31848 1.18716i 0.0842345 0.0758451i
\(246\) −4.77541 + 4.97330i −0.304469 + 0.317086i
\(247\) 3.98643i 0.253651i
\(248\) −4.71197 + 2.96603i −0.299210 + 0.188343i
\(249\) −8.42196 15.7314i −0.533720 0.996935i
\(250\) 0.309017 + 0.951057i 0.0195440 + 0.0601501i
\(251\) 6.51060 + 7.23076i 0.410946 + 0.456401i 0.912713 0.408601i \(-0.133983\pi\)
−0.501767 + 0.865003i \(0.667317\pi\)
\(252\) 0.360613 + 8.87906i 0.0227165 + 0.559328i
\(253\) 0.00107270 + 0.00185797i 6.74402e−5 + 0.000116810i
\(254\) −10.3090 + 17.8557i −0.646844 + 1.12037i
\(255\) −2.26737 3.34098i −0.141988 0.209221i
\(256\) −0.809017 0.587785i −0.0505636 0.0367366i
\(257\) 7.06007 + 0.742044i 0.440395 + 0.0462874i 0.322132 0.946695i \(-0.395601\pi\)
0.118263 + 0.992982i \(0.462267\pi\)
\(258\) −3.96376 0.976317i −0.246773 0.0607828i
\(259\) 1.21970 2.73950i 0.0757886 0.170224i
\(260\) 4.51666 + 0.960045i 0.280111 + 0.0595395i
\(261\) −9.00046 + 22.6468i −0.557115 + 1.40180i
\(262\) 13.2927 5.91830i 0.821227 0.365634i
\(263\) 2.54768 7.84095i 0.157097 0.483494i −0.841271 0.540614i \(-0.818192\pi\)
0.998367 + 0.0571205i \(0.0181919\pi\)
\(264\) −0.211004 1.17709i −0.0129864 0.0724447i
\(265\) −1.81244 4.07080i −0.111337 0.250067i
\(266\) 0.531685 + 2.50138i 0.0325997 + 0.153369i
\(267\) −1.68305 5.80713i −0.103001 0.355390i
\(268\) −11.2808 5.02252i −0.689082 0.306799i
\(269\) 7.41593 8.23622i 0.452157 0.502171i −0.473364 0.880867i \(-0.656961\pi\)
0.925521 + 0.378695i \(0.123627\pi\)
\(270\) −1.03696 + 5.09163i −0.0631074 + 0.309867i
\(271\) 4.95813 6.82429i 0.301185 0.414546i −0.631422 0.775440i \(-0.717528\pi\)
0.932607 + 0.360894i \(0.117528\pi\)
\(272\) −0.243674 2.31840i −0.0147749 0.140574i
\(273\) 0.759489 23.6785i 0.0459663 1.43309i
\(274\) −4.42292 + 2.55358i −0.267199 + 0.154267i
\(275\) −0.558565 + 0.405821i −0.0336827 + 0.0244719i
\(276\) 0.00182641 0.00506276i 0.000109937 0.000304742i
\(277\) −13.0266 + 4.23261i −0.782694 + 0.254313i −0.672990 0.739652i \(-0.734990\pi\)
−0.109704 + 0.993964i \(0.534990\pi\)
\(278\) −4.61138 −0.276572
\(279\) 7.97392 + 14.6771i 0.477386 + 0.878694i
\(280\) 2.96213 0.177021
\(281\) 5.29506 1.72047i 0.315877 0.102635i −0.146788 0.989168i \(-0.546893\pi\)
0.462664 + 0.886533i \(0.346893\pi\)
\(282\) −6.42466 + 17.8090i −0.382583 + 1.06051i
\(283\) 22.1074 16.0620i 1.31415 0.954785i 0.314164 0.949369i \(-0.398276\pi\)
0.999985 0.00541616i \(-0.00172403\pi\)
\(284\) −1.65322 + 0.954484i −0.0981003 + 0.0566382i
\(285\) −0.0479377 + 1.49455i −0.00283958 + 0.0885292i
\(286\) 0.333244 + 3.17061i 0.0197052 + 0.187482i
\(287\) 6.93079 9.53942i 0.409112 0.563094i
\(288\) −1.91527 + 2.30906i −0.112858 + 0.136063i
\(289\) −7.73891 + 8.59493i −0.455230 + 0.505584i
\(290\) 7.42095 + 3.30402i 0.435773 + 0.194019i
\(291\) −4.95743 17.1050i −0.290610 1.00271i
\(292\) 0.124110 + 0.583892i 0.00726300 + 0.0341697i
\(293\) −4.72697 10.6170i −0.276153 0.620249i 0.721219 0.692707i \(-0.243582\pi\)
−0.997371 + 0.0724583i \(0.976916\pi\)
\(294\) −0.542218 3.02477i −0.0316228 0.176408i
\(295\) −2.87331 + 8.84313i −0.167290 + 0.514867i
\(296\) 0.924841 0.411766i 0.0537553 0.0239334i
\(297\) −3.56457 + 0.405412i −0.206837 + 0.0235244i
\(298\) −8.48928 1.80445i −0.491771 0.104529i
\(299\) −0.00583605 + 0.0131080i −0.000337508 + 0.000758055i
\(300\) 1.68179 + 0.414242i 0.0970979 + 0.0239163i
\(301\) 6.94311 + 0.729751i 0.400194 + 0.0420621i
\(302\) 19.0007 + 13.8048i 1.09337 + 0.794376i
\(303\) 8.50188 + 12.5276i 0.488420 + 0.719692i
\(304\) −0.431660 + 0.747657i −0.0247574 + 0.0428811i
\(305\) 2.23845 + 3.87711i 0.128173 + 0.222003i
\(306\) −6.98776 + 0.283800i −0.399464 + 0.0162238i
\(307\) −0.332892 0.369714i −0.0189992 0.0211007i 0.733570 0.679614i \(-0.237852\pi\)
−0.752570 + 0.658513i \(0.771186\pi\)
\(308\) 0.631977 + 1.94503i 0.0360103 + 0.110828i
\(309\) −9.19751 17.1800i −0.523228 0.977337i
\(310\) 4.99619 2.45725i 0.283765 0.139562i
\(311\) 27.1482i 1.53943i 0.638386 + 0.769717i \(0.279603\pi\)
−0.638386 + 0.769717i \(0.720397\pi\)
\(312\) 5.53940 5.76894i 0.313607 0.326602i
\(313\) 18.4004 16.5678i 1.04005 0.936468i 0.0420175 0.999117i \(-0.486621\pi\)
0.998036 + 0.0626488i \(0.0199548\pi\)
\(314\) −1.96431 2.70365i −0.110853 0.152576i
\(315\) 0.569477 8.86811i 0.0320864 0.499661i
\(316\) −6.85266 3.95639i −0.385492 0.222564i
\(317\) 24.6269 2.58839i 1.38319 0.145379i 0.616477 0.787373i \(-0.288559\pi\)
0.766709 + 0.641994i \(0.221893\pi\)
\(318\) −7.64600 1.05242i −0.428766 0.0590168i
\(319\) −0.586246 + 5.57776i −0.0328235 + 0.312294i
\(320\) 0.743145 + 0.669131i 0.0415431 + 0.0374055i
\(321\) −19.9676 + 1.45332i −1.11448 + 0.0811162i
\(322\) −0.00191371 + 0.00900329i −0.000106647 + 0.000501734i
\(323\) −1.96857 + 0.418433i −0.109534 + 0.0232822i
\(324\) 6.54472 + 6.17791i 0.363596 + 0.343217i
\(325\) −4.39156 1.42690i −0.243600 0.0791504i
\(326\) 19.3907 + 6.30042i 1.07395 + 0.348948i
\(327\) 27.4604 + 21.3290i 1.51856 + 1.17950i
\(328\) 3.89372 0.827637i 0.214995 0.0456986i
\(329\) 6.73174 31.6703i 0.371133 1.74604i
\(330\) 0.0868088 + 1.19269i 0.00477867 + 0.0656557i
\(331\) −13.3948 12.0607i −0.736245 0.662918i 0.213144 0.977021i \(-0.431630\pi\)
−0.949389 + 0.314103i \(0.898296\pi\)
\(332\) −1.07687 + 10.2458i −0.0591010 + 0.562309i
\(333\) −1.05495 2.84798i −0.0578112 0.156069i
\(334\) 10.2850 1.08099i 0.562768 0.0591493i
\(335\) 10.6940 + 6.17417i 0.584274 + 0.337331i
\(336\) 2.70640 4.35867i 0.147646 0.237785i
\(337\) 14.2575 + 19.6238i 0.776657 + 1.06898i 0.995643 + 0.0932487i \(0.0297252\pi\)
−0.218986 + 0.975728i \(0.570275\pi\)
\(338\) −6.18435 + 5.56842i −0.336384 + 0.302882i
\(339\) −9.63965 9.25609i −0.523554 0.502722i
\(340\) 2.33117i 0.126426i
\(341\) 2.67946 + 2.75640i 0.145101 + 0.149267i
\(342\) 2.15537 + 1.43606i 0.116549 + 0.0776531i
\(343\) −4.78343 14.7219i −0.258281 0.794907i
\(344\) 1.57706 + 1.75150i 0.0850292 + 0.0944345i
\(345\) −0.00234561 + 0.00484411i −0.000126283 + 0.000260798i
\(346\) −10.2424 17.7404i −0.550635 0.953728i
\(347\) −4.77021 + 8.26224i −0.256078 + 0.443540i −0.965188 0.261558i \(-0.915764\pi\)
0.709110 + 0.705098i \(0.249097\pi\)
\(348\) 11.6420 7.90090i 0.624079 0.423533i
\(349\) 8.43526 + 6.12857i 0.451529 + 0.328055i 0.790199 0.612850i \(-0.209977\pi\)
−0.338670 + 0.940905i \(0.609977\pi\)
\(350\) −2.94590 0.309626i −0.157465 0.0165502i
\(351\) −16.2063 17.6931i −0.865027 0.944389i
\(352\) −0.280821 + 0.630734i −0.0149678 + 0.0336182i
\(353\) 29.9071 + 6.35694i 1.59179 + 0.338346i 0.916759 0.399442i \(-0.130796\pi\)
0.675033 + 0.737787i \(0.264129\pi\)
\(354\) 10.3871 + 12.3077i 0.552069 + 0.654145i
\(355\) 1.74393 0.776448i 0.0925582 0.0412096i
\(356\) −1.07869 + 3.31987i −0.0571705 + 0.175953i
\(357\) 11.7726 2.11034i 0.623070 0.111691i
\(358\) 5.48543 + 12.3205i 0.289914 + 0.651157i
\(359\) 1.58337 + 7.44917i 0.0835671 + 0.393152i 0.999975 0.00709367i \(-0.00225801\pi\)
−0.916408 + 0.400246i \(0.868925\pi\)
\(360\) 2.14614 2.09621i 0.113111 0.110480i
\(361\) −16.6765 7.42485i −0.877709 0.390781i
\(362\) 6.42767 7.13865i 0.337831 0.375199i
\(363\) 16.8802 6.87593i 0.885982 0.360893i
\(364\) −8.03961 + 11.0656i −0.421390 + 0.579993i
\(365\) −0.0623969 0.593667i −0.00326600 0.0310739i
\(366\) 7.75023 + 0.248589i 0.405111 + 0.0129940i
\(367\) 5.41712 3.12757i 0.282771 0.163258i −0.351906 0.936035i \(-0.614466\pi\)
0.634677 + 0.772777i \(0.281133\pi\)
\(368\) −0.00251392 + 0.00182647i −0.000131047 + 9.52112e-5i
\(369\) −1.72923 11.8163i −0.0900200 0.615131i
\(370\) −0.962816 + 0.312838i −0.0500544 + 0.0162637i
\(371\) 13.1994 0.685276
\(372\) 0.949105 9.59683i 0.0492088 0.497573i
\(373\) 33.0274 1.71009 0.855047 0.518551i \(-0.173528\pi\)
0.855047 + 0.518551i \(0.173528\pi\)
\(374\) −1.53072 + 0.497362i −0.0791518 + 0.0257180i
\(375\) −1.62927 0.587767i −0.0841353 0.0303522i
\(376\) 8.84306 6.42486i 0.456046 0.331337i
\(377\) −32.4842 + 18.7548i −1.67302 + 0.965921i
\(378\) −12.5288 8.94048i −0.644412 0.459848i
\(379\) −1.17734 11.2016i −0.0604758 0.575389i −0.982239 0.187635i \(-0.939918\pi\)
0.921763 0.387754i \(-0.126749\pi\)
\(380\) 0.507447 0.698441i 0.0260315 0.0358292i
\(381\) −13.4718 33.0729i −0.690181 1.69437i
\(382\) 2.06592 2.29444i 0.105702 0.117394i
\(383\) −16.3350 7.27281i −0.834679 0.371623i −0.0555264 0.998457i \(-0.517684\pi\)
−0.779153 + 0.626834i \(0.784350\pi\)
\(384\) 1.66359 0.482149i 0.0848947 0.0246045i
\(385\) −0.425205 2.00043i −0.0216704 0.101951i
\(386\) −0.913739 2.05229i −0.0465081 0.104459i
\(387\) 5.54689 4.38472i 0.281964 0.222888i
\(388\) −3.17730 + 9.77872i −0.161303 + 0.496439i
\(389\) −15.7275 + 7.00233i −0.797415 + 0.355032i −0.764662 0.644431i \(-0.777094\pi\)
−0.0327529 + 0.999463i \(0.510427\pi\)
\(390\) −6.11207 + 5.15831i −0.309497 + 0.261201i
\(391\) −0.00708553 0.00150608i −0.000358331 7.61656e-5i
\(392\) −0.721627 + 1.62080i −0.0364477 + 0.0818628i
\(393\) −6.02751 + 24.4711i −0.304048 + 1.23441i
\(394\) −17.7881 1.86960i −0.896149 0.0941891i
\(395\) 6.40157 + 4.65101i 0.322098 + 0.234018i
\(396\) 1.83432 + 0.961991i 0.0921782 + 0.0483418i
\(397\) 13.1922 22.8495i 0.662097 1.14678i −0.317967 0.948102i \(-0.603000\pi\)
0.980064 0.198683i \(-0.0636665\pi\)
\(398\) 1.44974 + 2.51102i 0.0726688 + 0.125866i
\(399\) −3.98654 1.93036i −0.199577 0.0966387i
\(400\) −0.669131 0.743145i −0.0334565 0.0371572i
\(401\) 1.48810 + 4.57991i 0.0743123 + 0.228710i 0.981313 0.192420i \(-0.0616337\pi\)
−0.907000 + 0.421130i \(0.861634\pi\)
\(402\) 18.8558 10.0947i 0.940443 0.503476i
\(403\) −4.38083 + 25.3335i −0.218225 + 1.26195i
\(404\) 8.74114i 0.434888i
\(405\) −5.86310 6.82818i −0.291340 0.339295i
\(406\) −17.8816 + 16.1007i −0.887449 + 0.799063i
\(407\) −0.410839 0.565471i −0.0203645 0.0280294i
\(408\) 3.43024 + 2.12992i 0.169822 + 0.105447i
\(409\) 3.75856 + 2.17001i 0.185849 + 0.107300i 0.590038 0.807376i \(-0.299113\pi\)
−0.404189 + 0.914676i \(0.632446\pi\)
\(410\) −3.95891 + 0.416098i −0.195516 + 0.0205496i
\(411\) 1.20620 8.76323i 0.0594974 0.432258i
\(412\) −1.17604 + 11.1892i −0.0579392 + 0.551255i
\(413\) −20.4681 18.4295i −1.00717 0.906858i
\(414\) 0.00498483 + 0.00787739i 0.000244991 + 0.000387153i
\(415\) 2.14195 10.0771i 0.105144 0.494664i
\(416\) −4.51666 + 0.960045i −0.221447 + 0.0470701i
\(417\) 4.89946 6.30791i 0.239928 0.308899i
\(418\) 0.566884 + 0.184192i 0.0277272 + 0.00900911i
\(419\) −15.7408 5.11451i −0.768991 0.249860i −0.101858 0.994799i \(-0.532479\pi\)
−0.667133 + 0.744939i \(0.732479\pi\)
\(420\) −3.14718 + 4.05189i −0.153567 + 0.197712i
\(421\) −10.3319 + 2.19612i −0.503548 + 0.107032i −0.452680 0.891673i \(-0.649532\pi\)
−0.0508676 + 0.998705i \(0.516199\pi\)
\(422\) 1.31157 6.17045i 0.0638462 0.300373i
\(423\) −17.5349 27.7098i −0.852574 1.34730i
\(424\) 3.31148 + 2.98167i 0.160820 + 0.144803i
\(425\) 0.243674 2.31840i 0.0118199 0.112459i
\(426\) 0.450857 3.27555i 0.0218441 0.158701i
\(427\) −13.1885 + 1.38617i −0.638236 + 0.0670813i
\(428\) 10.0102 + 5.77939i 0.483861 + 0.279358i
\(429\) −4.69114 2.91284i −0.226490 0.140633i
\(430\) −1.38534 1.90675i −0.0668068 0.0919517i
\(431\) 5.86646 5.28219i 0.282578 0.254434i −0.515637 0.856807i \(-0.672445\pi\)
0.798215 + 0.602373i \(0.205778\pi\)
\(432\) −1.12364 5.07321i −0.0540613 0.244085i
\(433\) 3.18600i 0.153109i 0.997065 + 0.0765546i \(0.0243920\pi\)
−0.997065 + 0.0765546i \(0.975608\pi\)
\(434\) 0.629967 + 16.4804i 0.0302394 + 0.791084i
\(435\) −12.4041 + 6.64069i −0.594733 + 0.318397i
\(436\) −6.20347 19.0923i −0.297092 0.914356i
\(437\) 0.00179505 + 0.00199360i 8.58688e−5 + 9.53669e-5i
\(438\) −0.930570 0.450600i −0.0444644 0.0215305i
\(439\) −1.49420 2.58803i −0.0713142 0.123520i 0.828163 0.560487i \(-0.189386\pi\)
−0.899478 + 0.436967i \(0.856053\pi\)
\(440\) 0.345212 0.597925i 0.0164573 0.0285049i
\(441\) 4.71367 + 2.47203i 0.224461 + 0.117716i
\(442\) −8.70853 6.32712i −0.414223 0.300950i
\(443\) −9.46017 0.994304i −0.449466 0.0472408i −0.122908 0.992418i \(-0.539222\pi\)
−0.326558 + 0.945177i \(0.605889\pi\)
\(444\) −0.419364 + 1.70258i −0.0199021 + 0.0808009i
\(445\) 1.41980 3.18893i 0.0673051 0.151170i
\(446\) 24.1878 + 5.14127i 1.14532 + 0.243446i
\(447\) 11.4879 9.69531i 0.543361 0.458572i
\(448\) −2.70604 + 1.20480i −0.127848 + 0.0569217i
\(449\) −2.05547 + 6.32608i −0.0970035 + 0.298546i −0.987771 0.155914i \(-0.950168\pi\)
0.890767 + 0.454460i \(0.150168\pi\)
\(450\) −2.35349 + 1.86039i −0.110945 + 0.0876998i
\(451\) −1.11787 2.51077i −0.0526383 0.118227i
\(452\) 1.60419 + 7.54714i 0.0754549 + 0.354987i
\(453\) −39.0713 + 11.3238i −1.83573 + 0.532038i
\(454\) 11.9389 + 5.31553i 0.560320 + 0.249470i
\(455\) 9.15223 10.1646i 0.429063 0.476523i
\(456\) −0.564093 1.38483i −0.0264161 0.0648508i
\(457\) −5.97055 + 8.21775i −0.279290 + 0.384410i −0.925499 0.378751i \(-0.876354\pi\)
0.646208 + 0.763161i \(0.276354\pi\)
\(458\) −1.77426 16.8809i −0.0829056 0.788794i
\(459\) 7.03610 9.86009i 0.328417 0.460230i
\(460\) 0.00269106 0.00155369i 0.000125471 7.24410e-5i
\(461\) 8.03554 5.83816i 0.374253 0.271910i −0.384720 0.923034i \(-0.625702\pi\)
0.758972 + 0.651123i \(0.225702\pi\)
\(462\) −3.33206 1.20206i −0.155022 0.0559247i
\(463\) 22.4908 7.30772i 1.04524 0.339618i 0.264440 0.964402i \(-0.414813\pi\)
0.780798 + 0.624784i \(0.214813\pi\)
\(464\) −8.12324 −0.377112
\(465\) −1.94705 + 9.44505i −0.0902922 + 0.438004i
\(466\) 13.5457 0.627494
\(467\) −25.4368 + 8.26490i −1.17707 + 0.382454i −0.831278 0.555856i \(-0.812391\pi\)
−0.345794 + 0.938310i \(0.612391\pi\)
\(468\) 2.00587 + 13.7067i 0.0927216 + 0.633592i
\(469\) −29.5917 + 21.4996i −1.36642 + 0.992760i
\(470\) −9.46619 + 5.46531i −0.436643 + 0.252096i
\(471\) 5.78535 + 0.185566i 0.266575 + 0.00855041i
\(472\) −0.971929 9.24728i −0.0447366 0.425641i
\(473\) 0.956469 1.31647i 0.0439785 0.0605312i
\(474\) 12.6927 5.17021i 0.582996 0.237475i
\(475\) −0.577674 + 0.641572i −0.0265055 + 0.0294373i
\(476\) −6.30824 2.80861i −0.289138 0.128732i
\(477\) 9.56328 9.34080i 0.437872 0.427686i
\(478\) 1.94704 + 9.16011i 0.0890556 + 0.418974i
\(479\) −2.54632 5.71914i −0.116344 0.261314i 0.845982 0.533212i \(-0.179015\pi\)
−0.962326 + 0.271898i \(0.912349\pi\)
\(480\) −1.70488 + 0.305615i −0.0778166 + 0.0139493i
\(481\) 1.44455 4.44586i 0.0658657 0.202714i
\(482\) −0.446977 + 0.199007i −0.0203593 + 0.00906453i
\(483\) −0.0102823 0.0121835i −0.000467863 0.000554369i
\(484\) −10.2934 2.18792i −0.467880 0.0994509i
\(485\) 4.18205 9.39304i 0.189897 0.426516i
\(486\) −15.4044 + 2.38866i −0.698756 + 0.108352i
\(487\) −26.6615 2.80224i −1.20815 0.126982i −0.521038 0.853534i \(-0.674455\pi\)
−0.687111 + 0.726552i \(0.741122\pi\)
\(488\) −3.62189 2.63146i −0.163955 0.119120i
\(489\) −29.2204 + 19.8305i −1.32139 + 0.896767i
\(490\) 0.887094 1.53649i 0.0400748 0.0694116i
\(491\) −3.45616 5.98624i −0.155974 0.270155i 0.777439 0.628958i \(-0.216518\pi\)
−0.933413 + 0.358803i \(0.883185\pi\)
\(492\) −3.00485 + 6.20557i −0.135469 + 0.279769i
\(493\) −12.6711 14.0727i −0.570679 0.633803i
\(494\) 1.23188 + 3.79132i 0.0554247 + 0.170580i
\(495\) −1.72372 1.14846i −0.0774754 0.0516194i
\(496\) −3.56480 + 4.27694i −0.160064 + 0.192040i
\(497\) 5.65461i 0.253644i
\(498\) −12.8710 12.3589i −0.576764 0.553815i
\(499\) 2.04425 1.84065i 0.0915132 0.0823989i −0.622104 0.782934i \(-0.713722\pi\)
0.713618 + 0.700535i \(0.247055\pi\)
\(500\) 0.587785 + 0.809017i 0.0262866 + 0.0361803i
\(501\) −9.44881 + 15.2173i −0.422142 + 0.679860i
\(502\) 8.42638 + 4.86497i 0.376088 + 0.217134i
\(503\) 33.3446 3.50466i 1.48676 0.156265i 0.673944 0.738783i \(-0.264599\pi\)
0.812818 + 0.582518i \(0.197932\pi\)
\(504\) 3.08674 + 8.33305i 0.137494 + 0.371184i
\(505\) −0.913698 + 8.69326i −0.0406590 + 0.386845i
\(506\) 0.00159435 + 0.00143556i 7.08773e−5 + 6.38182e-5i
\(507\) −1.04633 14.3759i −0.0464691 0.638455i
\(508\) −4.28672 + 20.1674i −0.190192 + 0.894785i
\(509\) −10.0502 + 2.13623i −0.445465 + 0.0946865i −0.425182 0.905108i \(-0.639790\pi\)
−0.0202829 + 0.999794i \(0.506457\pi\)
\(510\) −3.18881 2.47681i −0.141203 0.109675i
\(511\) 1.68166 + 0.546405i 0.0743923 + 0.0241715i
\(512\) −0.951057 0.309017i −0.0420312 0.0136568i
\(513\) −4.25441 + 1.42256i −0.187837 + 0.0628077i
\(514\) 6.94383 1.47596i 0.306279 0.0651017i
\(515\) 2.33919 11.0050i 0.103077 0.484939i
\(516\) −4.07146 + 0.296336i −0.179236 + 0.0130455i
\(517\) −5.60834 5.04977i −0.246654 0.222089i
\(518\) 0.313455 2.98232i 0.0137724 0.131036i
\(519\) 35.1493 + 4.83807i 1.54289 + 0.212368i
\(520\) 4.59227 0.482667i 0.201384 0.0211663i
\(521\) 25.6621 + 14.8160i 1.12428 + 0.649102i 0.942489 0.334236i \(-0.108478\pi\)
0.181788 + 0.983338i \(0.441812\pi\)
\(522\) −1.56172 + 24.3196i −0.0683544 + 1.06444i
\(523\) 22.6437 + 31.1664i 0.990141 + 1.36281i 0.931183 + 0.364552i \(0.118778\pi\)
0.0589586 + 0.998260i \(0.481222\pi\)
\(524\) 10.8133 9.73631i 0.472380 0.425333i
\(525\) 3.55348 3.70073i 0.155086 0.161513i
\(526\) 8.24446i 0.359476i
\(527\) −12.9700 + 0.495780i −0.564980 + 0.0215965i
\(528\) −0.564416 1.05427i −0.0245631 0.0458813i
\(529\) −7.10739 21.8743i −0.309017 0.951056i
\(530\) −2.98167 3.31148i −0.129516 0.143842i
\(531\) −27.8717 + 1.13198i −1.20953 + 0.0491236i
\(532\) 1.27863 + 2.21465i 0.0554357 + 0.0960174i
\(533\) 9.19059 15.9186i 0.398089 0.689510i
\(534\) −3.39517 5.00282i −0.146923 0.216493i
\(535\) −9.35126 6.79408i −0.404290 0.293734i
\(536\) −12.2807 1.29075i −0.530445 0.0557520i
\(537\) −22.6813 5.58665i −0.978770 0.241082i
\(538\) 4.50783 10.1248i 0.194347 0.436509i
\(539\) 1.19817 + 0.254680i 0.0516090 + 0.0109698i
\(540\) 0.587193 + 5.16287i 0.0252688 + 0.222174i
\(541\) 37.4082 16.6552i 1.60830 0.716063i 0.611155 0.791511i \(-0.290705\pi\)
0.997150 + 0.0754481i \(0.0240387\pi\)
\(542\) 2.60665 8.02243i 0.111965 0.344593i
\(543\) 2.93574 + 16.3770i 0.125984 + 0.702806i
\(544\) −0.948174 2.12963i −0.0406526 0.0913073i
\(545\) 4.17380 + 19.6362i 0.178786 + 0.841121i
\(546\) −6.59473 22.7542i −0.282228 0.973792i
\(547\) 22.6089 + 10.0661i 0.966687 + 0.430397i 0.828488 0.560007i \(-0.189202\pi\)
0.138200 + 0.990404i \(0.455868\pi\)
\(548\) −3.41735 + 3.79535i −0.145982 + 0.162130i
\(549\) −8.57446 + 10.3374i −0.365949 + 0.441191i
\(550\) −0.405821 + 0.558565i −0.0173043 + 0.0238173i
\(551\) 0.733054 + 6.97454i 0.0312291 + 0.297125i
\(552\) 0.000172543 0.00537936i 7.34394e−6 0.000228961i
\(553\) −20.2985 + 11.7193i −0.863178 + 0.498356i
\(554\) −11.0811 + 8.05090i −0.470791 + 0.342050i
\(555\) 0.595035 1.64942i 0.0252578 0.0700139i
\(556\) −4.38568 + 1.42499i −0.185994 + 0.0604332i
\(557\) −36.3511 −1.54024 −0.770122 0.637896i \(-0.779805\pi\)
−0.770122 + 0.637896i \(0.779805\pi\)
\(558\) 12.1191 + 11.4947i 0.513043 + 0.486608i
\(559\) 10.8830 0.460302
\(560\) 2.81715 0.915347i 0.119046 0.0386805i
\(561\) 0.946011 2.62231i 0.0399406 0.110714i
\(562\) 4.50424 3.27252i 0.190000 0.138043i
\(563\) 9.44660 5.45400i 0.398127 0.229859i −0.287549 0.957766i \(-0.592840\pi\)
0.685675 + 0.727907i \(0.259507\pi\)
\(564\) −0.606946 + 18.9227i −0.0255570 + 0.796788i
\(565\) −0.806515 7.67348i −0.0339303 0.322826i
\(566\) 16.0620 22.1074i 0.675135 0.929244i
\(567\) 25.5412 7.63914i 1.07263 0.320814i
\(568\) −1.27735 + 1.41864i −0.0535964 + 0.0595248i
\(569\) −14.7488 6.56659i −0.618302 0.275286i 0.0735883 0.997289i \(-0.476555\pi\)
−0.691890 + 0.722003i \(0.743222\pi\)
\(570\) 0.416249 + 1.43621i 0.0174347 + 0.0601563i
\(571\) −1.38761 6.52820i −0.0580697 0.273197i 0.939528 0.342473i \(-0.111264\pi\)
−0.997598 + 0.0692761i \(0.977931\pi\)
\(572\) 1.29671 + 2.91245i 0.0542180 + 0.121776i
\(573\) 0.943577 + 5.26376i 0.0394185 + 0.219897i
\(574\) 3.64373 11.2143i 0.152087 0.468074i
\(575\) −0.00283873 + 0.00126388i −0.000118383 + 5.27075e-5i
\(576\) −1.10799 + 2.78790i −0.0461662 + 0.116162i
\(577\) −27.2027 5.78211i −1.13246 0.240712i −0.396697 0.917949i \(-0.629844\pi\)
−0.735765 + 0.677237i \(0.763177\pi\)
\(578\) −4.70416 + 10.5657i −0.195667 + 0.439476i
\(579\) 3.77815 + 0.930601i 0.157015 + 0.0386744i
\(580\) 8.07874 + 0.849110i 0.335452 + 0.0352574i
\(581\) 24.6883 + 17.9371i 1.02424 + 0.744156i
\(582\) −10.0005 14.7359i −0.414535 0.610821i
\(583\) 1.53828 2.66438i 0.0637090 0.110347i
\(584\) 0.298468 + 0.516963i 0.0123507 + 0.0213921i
\(585\) −0.562148 13.8413i −0.0232419 0.572266i
\(586\) −7.77644 8.63661i −0.321242 0.356775i
\(587\) −9.19053 28.2855i −0.379334 1.16747i −0.940508 0.339771i \(-0.889650\pi\)
0.561174 0.827698i \(-0.310350\pi\)
\(588\) −1.45038 2.70917i −0.0598129 0.111724i
\(589\) 3.99384 + 2.67474i 0.164563 + 0.110211i
\(590\) 9.29822i 0.382802i
\(591\) 21.4568 22.3459i 0.882613 0.919187i
\(592\) 0.752333 0.677404i 0.0309207 0.0278411i
\(593\) −2.59570 3.57267i −0.106592 0.146712i 0.752388 0.658720i \(-0.228902\pi\)
−0.858981 + 0.512008i \(0.828902\pi\)
\(594\) −3.26483 + 1.48708i −0.133957 + 0.0610157i
\(595\) 5.98011 + 3.45262i 0.245160 + 0.141543i
\(596\) −8.63139 + 0.907196i −0.353556 + 0.0371602i
\(597\) −4.97514 0.684794i −0.203619 0.0280268i
\(598\) −0.00149982 + 0.0142699i −6.13324e−5 + 0.000583539i
\(599\) −9.38033 8.44609i −0.383270 0.345098i 0.454865 0.890560i \(-0.349687\pi\)
−0.838135 + 0.545462i \(0.816354\pi\)
\(600\) 1.72748 0.125733i 0.0705241 0.00513301i
\(601\) 2.95849 13.9186i 0.120679 0.567752i −0.875709 0.482839i \(-0.839606\pi\)
0.996388 0.0849126i \(-0.0270611\pi\)
\(602\) 6.82880 1.45151i 0.278321 0.0591590i
\(603\) −6.22529 + 36.5182i −0.253514 + 1.48714i
\(604\) 22.3366 + 7.25761i 0.908864 + 0.295308i
\(605\) 10.0083 + 3.25188i 0.406894 + 0.132208i
\(606\) 11.9570 + 9.28723i 0.485720 + 0.377268i
\(607\) 43.7761 9.30490i 1.77682 0.377674i 0.801415 0.598108i \(-0.204081\pi\)
0.975402 + 0.220434i \(0.0707474\pi\)
\(608\) −0.179494 + 0.844454i −0.00727946 + 0.0342471i
\(609\) −3.02539 41.5668i −0.122595 1.68437i
\(610\) 3.32699 + 2.99563i 0.134706 + 0.121290i
\(611\) 5.27584 50.1963i 0.213438 2.03073i
\(612\) −6.55806 + 2.42925i −0.265094 + 0.0981965i
\(613\) 16.3736 1.72094i 0.661324 0.0695080i 0.232080 0.972697i \(-0.425447\pi\)
0.429244 + 0.903189i \(0.358780\pi\)
\(614\) −0.430847 0.248750i −0.0173876 0.0100387i
\(615\) 3.63705 5.85748i 0.146660 0.236196i
\(616\) 1.20209 + 1.65454i 0.0484337 + 0.0666633i
\(617\) −15.6373 + 14.0799i −0.629536 + 0.566836i −0.920911 0.389772i \(-0.872554\pi\)
0.291376 + 0.956609i \(0.405887\pi\)
\(618\) −14.0563 13.4970i −0.565426 0.542928i
\(619\) 20.4583i 0.822290i −0.911570 0.411145i \(-0.865129\pi\)
0.911570 0.411145i \(-0.134871\pi\)
\(620\) 3.99233 3.88089i 0.160336 0.155860i
\(621\) −0.0160717 0.00155076i −0.000644937 6.22300e-5i
\(622\) 8.38926 + 25.8195i 0.336379 + 1.03527i
\(623\) 6.91878 + 7.68408i 0.277195 + 0.307856i
\(624\) 3.48558 7.19836i 0.139535 0.288165i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) 12.3801 21.4430i 0.494808 0.857033i
\(627\) −0.854254 + 0.579742i −0.0341156 + 0.0231526i
\(628\) −2.70365 1.96431i −0.107887 0.0783846i
\(629\) 2.34707 + 0.246687i 0.0935838 + 0.00983606i
\(630\) −2.19879 8.61005i −0.0876020 0.343033i
\(631\) −9.56508 + 21.4835i −0.380780 + 0.855246i 0.616892 + 0.787048i \(0.288392\pi\)
−0.997672 + 0.0681979i \(0.978275\pi\)
\(632\) −7.73986 1.64516i −0.307875 0.0654409i
\(633\) 7.04706 + 8.35004i 0.280095 + 0.331884i
\(634\) 22.6217 10.0718i 0.898424 0.400004i
\(635\) 6.37131 19.6089i 0.252838 0.778154i
\(636\) −7.59700 + 1.36183i −0.301240 + 0.0540002i
\(637\) 3.33216 + 7.48415i 0.132025 + 0.296533i
\(638\) 1.16607 + 5.48592i 0.0461651 + 0.217190i
\(639\) 4.00160 + 4.09691i 0.158301 + 0.162071i
\(640\) 0.913545 + 0.406737i 0.0361111 + 0.0160777i
\(641\) 32.5879 36.1925i 1.28715 1.42952i 0.440146 0.897926i \(-0.354927\pi\)
0.847000 0.531593i \(-0.178407\pi\)
\(642\) −18.5412 + 7.55251i −0.731763 + 0.298074i
\(643\) 23.5502 32.4141i 0.928730 1.27829i −0.0316227 0.999500i \(-0.510068\pi\)
0.960353 0.278787i \(-0.0899325\pi\)
\(644\) 0.000962125 0.00915400i 3.79130e−5 0.000360718i
\(645\) 4.08013 + 0.130870i 0.160655 + 0.00515302i
\(646\) −1.74292 + 1.00627i −0.0685742 + 0.0395914i
\(647\) −3.05629 + 2.22053i −0.120155 + 0.0872979i −0.646240 0.763134i \(-0.723659\pi\)
0.526085 + 0.850432i \(0.323659\pi\)
\(648\) 8.13348 + 3.85311i 0.319513 + 0.151365i
\(649\) −6.10551 + 1.98380i −0.239662 + 0.0778710i
\(650\) −4.61756 −0.181116
\(651\) −23.2128 16.6482i −0.909783 0.652495i
\(652\) 20.3886 0.798479
\(653\) −18.9136 + 6.14541i −0.740148 + 0.240489i −0.654737 0.755857i \(-0.727220\pi\)
−0.0854113 + 0.996346i \(0.527220\pi\)
\(654\) 32.7074 + 11.7993i 1.27896 + 0.461391i
\(655\) −11.7718 + 8.55268i −0.459960 + 0.334181i
\(656\) 3.44740 1.99036i 0.134598 0.0777104i
\(657\) 1.60508 0.794177i 0.0626202 0.0309838i
\(658\) −3.38441 32.2005i −0.131938 1.25531i
\(659\) 1.24535 1.71408i 0.0485121 0.0667712i −0.784072 0.620670i \(-0.786861\pi\)
0.832584 + 0.553899i \(0.186861\pi\)
\(660\) 0.451123 + 1.10749i 0.0175599 + 0.0431092i
\(661\) 13.0432 14.4859i 0.507320 0.563436i −0.434016 0.900905i \(-0.642904\pi\)
0.941337 + 0.337469i \(0.109571\pi\)
\(662\) −16.4662 7.33122i −0.639977 0.284936i
\(663\) 17.9075 5.19001i 0.695468 0.201563i
\(664\) 2.14195 + 10.0771i 0.0831236 + 0.391066i
\(665\) −1.04013 2.33618i −0.0403346 0.0905930i
\(666\) −1.88340 2.38259i −0.0729801 0.0923236i
\(667\) −0.00780019 + 0.0240065i −0.000302025 + 0.000929536i
\(668\) 9.44754 4.20631i 0.365536 0.162747i
\(669\) −32.7316 + 27.6240i −1.26548 + 1.06801i
\(670\) 12.0785 + 2.56736i 0.466633 + 0.0991859i
\(671\) −1.25721 + 2.82373i −0.0485339 + 0.109009i
\(672\) 1.22704 4.98166i 0.0473340 0.192172i
\(673\) −27.4194 2.88190i −1.05694 0.111089i −0.439921 0.898037i \(-0.644993\pi\)
−0.617020 + 0.786948i \(0.711660\pi\)
\(674\) 19.6238 + 14.2575i 0.755881 + 0.549179i
\(675\) −0.0443095 5.19596i −0.00170547 0.199993i
\(676\) −4.16093 + 7.20695i −0.160036 + 0.277190i
\(677\) 17.4259 + 30.1825i 0.669731 + 1.16001i 0.977979 + 0.208702i \(0.0669239\pi\)
−0.308248 + 0.951306i \(0.599743\pi\)
\(678\) −12.0281 5.82425i −0.461938 0.223679i
\(679\) 20.3793 + 22.6336i 0.782087 + 0.868596i
\(680\) 0.720373 + 2.21708i 0.0276250 + 0.0850211i
\(681\) −19.9559 + 10.6836i −0.764710 + 0.409396i
\(682\) 3.40009 + 1.79349i 0.130196 + 0.0686764i
\(683\) 49.0063i 1.87517i 0.347752 + 0.937587i \(0.386945\pi\)
−0.347752 + 0.937587i \(0.613055\pi\)
\(684\) 2.49365 + 0.699725i 0.0953470 + 0.0267546i
\(685\) 3.79535 3.41735i 0.145013 0.130570i
\(686\) −9.09863 12.5232i −0.347387 0.478138i
\(687\) 24.9765 + 15.5085i 0.952914 + 0.591687i
\(688\) 2.04111 + 1.17844i 0.0778167 + 0.0449275i
\(689\) 20.4633 2.15078i 0.779591 0.0819383i
\(690\) −0.000733895 0.00533186i −2.79389e−5 0.000202980i
\(691\) −0.439855 + 4.18494i −0.0167329 + 0.159203i −0.999698 0.0245918i \(-0.992171\pi\)
0.982965 + 0.183794i \(0.0588381\pi\)
\(692\) −15.2232 13.7070i −0.578699 0.521063i
\(693\) 5.18452 3.28078i 0.196944 0.124626i
\(694\) −1.98356 + 9.33193i −0.0752950 + 0.354235i
\(695\) 4.51061 0.958759i 0.171097 0.0363678i
\(696\) 8.63073 11.1118i 0.327147 0.421191i
\(697\) 8.82555 + 2.86760i 0.334292 + 0.108618i
\(698\) 9.91624 + 3.22198i 0.375335 + 0.121954i
\(699\) −14.3920 + 18.5292i −0.544354 + 0.700839i
\(700\) −2.89740 + 0.615861i −0.109511 + 0.0232773i
\(701\) −10.4177 + 49.0112i −0.393470 + 1.85113i 0.119657 + 0.992815i \(0.461821\pi\)
−0.513126 + 0.858313i \(0.671513\pi\)
\(702\) −20.8806 11.8191i −0.788086 0.446085i
\(703\) −0.649505 0.584817i −0.0244965 0.0220568i
\(704\) −0.0721689 + 0.686642i −0.00271997 + 0.0258788i
\(705\) 2.58158 18.7556i 0.0972278 0.706375i
\(706\) 30.4077 3.19598i 1.14441 0.120282i
\(707\) −22.4234 12.9462i −0.843320 0.486891i
\(708\) 13.6820 + 8.49549i 0.514201 + 0.319280i
\(709\) 28.2250 + 38.8484i 1.06001 + 1.45898i 0.879794 + 0.475355i \(0.157680\pi\)
0.180218 + 0.983627i \(0.442320\pi\)
\(710\) 1.41864 1.27735i 0.0532406 0.0479381i
\(711\) −6.41334 + 22.8556i −0.240519 + 0.857151i
\(712\) 3.49072i 0.130820i
\(713\) 0.00921657 + 0.0146418i 0.000345163 + 0.000548341i
\(714\) 10.5442 5.64497i 0.394608 0.211258i
\(715\) −0.985169 3.03204i −0.0368432 0.113392i
\(716\) 9.02419 + 10.0224i 0.337250 + 0.374554i
\(717\) −14.5988 7.06901i −0.545202 0.263997i
\(718\) 3.80780 + 6.59530i 0.142106 + 0.246134i
\(719\) 13.5965 23.5498i 0.507063 0.878259i −0.492903 0.870084i \(-0.664064\pi\)
0.999967 0.00817528i \(-0.00260230\pi\)
\(720\) 1.39333 2.65681i 0.0519265 0.0990133i
\(721\) 26.9617 + 19.5888i 1.00411 + 0.729526i
\(722\) −18.1547 1.90813i −0.675647 0.0710134i
\(723\) 0.202680 0.822860i 0.00753773 0.0306025i
\(724\) 3.90711 8.77552i 0.145207 0.326140i
\(725\) −7.94573 1.68892i −0.295097 0.0627248i
\(726\) 13.9293 11.7557i 0.516964 0.436294i
\(727\) 22.2633 9.91225i 0.825699 0.367625i 0.0500166 0.998748i \(-0.484073\pi\)
0.775682 + 0.631124i \(0.217406\pi\)
\(728\) −4.22667 + 13.0084i −0.156651 + 0.482122i
\(729\) 13.0993 23.6095i 0.485158 0.874427i
\(730\) −0.242796 0.545329i −0.00898629 0.0201835i
\(731\) 1.14233 + 5.37422i 0.0422505 + 0.198773i
\(732\) 7.44773 2.15853i 0.275276 0.0797816i
\(733\) 7.60340 + 3.38525i 0.280838 + 0.125037i 0.542322 0.840171i \(-0.317545\pi\)
−0.261484 + 0.965208i \(0.584212\pi\)
\(734\) 4.18551 4.64848i 0.154490 0.171579i
\(735\) 1.15925 + 2.84594i 0.0427597 + 0.104974i
\(736\) −0.00182647 + 0.00251392i −6.73245e−5 + 9.26642e-5i
\(737\) 0.891166 + 8.47888i 0.0328265 + 0.312324i
\(738\) −5.29602 10.7036i −0.194949 0.394005i
\(739\) −1.97748 + 1.14170i −0.0727426 + 0.0419980i −0.535930 0.844262i \(-0.680039\pi\)
0.463188 + 0.886260i \(0.346706\pi\)
\(740\) −0.819020 + 0.595053i −0.0301078 + 0.0218746i
\(741\) −6.49499 2.34310i −0.238599 0.0860758i
\(742\) 12.5533 4.07882i 0.460847 0.149738i
\(743\) 4.02889 0.147805 0.0739027 0.997265i \(-0.476455\pi\)
0.0739027 + 0.997265i \(0.476455\pi\)
\(744\) −2.06293 9.42042i −0.0756308 0.345369i
\(745\) 8.67894 0.317972
\(746\) 31.4109 10.2060i 1.15004 0.373669i
\(747\) 30.5808 4.47529i 1.11889 0.163742i
\(748\) −1.30211 + 0.946039i −0.0476099 + 0.0345906i
\(749\) 29.6515 17.1193i 1.08344 0.625525i
\(750\) −1.73116 0.0555271i −0.0632130 0.00202756i
\(751\) 2.49700 + 23.7573i 0.0911167 + 0.866918i 0.940649 + 0.339381i \(0.110218\pi\)
−0.849532 + 0.527537i \(0.823116\pi\)
\(752\) 6.42486 8.84306i 0.234290 0.322473i
\(753\) −15.6076 + 6.35755i −0.568773 + 0.231682i
\(754\) −25.0988 + 27.8750i −0.914044 + 1.01515i
\(755\) −21.4556 9.55266i −0.780850 0.347657i
\(756\) −14.6784 4.63128i −0.533847 0.168438i
\(757\) −1.46112 6.87405i −0.0531055 0.249842i 0.943585 0.331130i \(-0.107430\pi\)
−0.996691 + 0.0812884i \(0.974097\pi\)
\(758\) −4.58121 10.2896i −0.166397 0.373734i
\(759\) −0.00365765 0.000655667i −0.000132764 2.37992e-5i
\(760\) 0.266781 0.821066i 0.00967715 0.0297832i
\(761\) −39.7347 + 17.6911i −1.44038 + 0.641300i −0.970428 0.241390i \(-0.922397\pi\)
−0.469955 + 0.882690i \(0.655730\pi\)
\(762\) −23.0325 27.2912i −0.834380 0.988654i
\(763\) −58.1648 12.3633i −2.10571 0.447582i
\(764\) 1.25579 2.82055i 0.0454328 0.102044i
\(765\) 6.77606 1.73044i 0.244989 0.0625640i
\(766\) −17.7829 1.86906i −0.642523 0.0675319i
\(767\) −34.7352 25.2366i −1.25422 0.911242i
\(768\) 1.43318 0.972628i 0.0517153 0.0350967i
\(769\) 11.0942 19.2157i 0.400066 0.692934i −0.593668 0.804710i \(-0.702321\pi\)
0.993733 + 0.111776i \(0.0356539\pi\)
\(770\) −1.02256 1.77113i −0.0368505 0.0638270i
\(771\) −5.35867 + 11.0666i −0.192988 + 0.398555i
\(772\) −1.50321 1.66948i −0.0541017 0.0600861i
\(773\) 7.45336 + 22.9391i