Properties

Label 547.2.o.a.4.20
Level $547$
Weight $2$
Character 547.4
Analytic conductor $4.368$
Analytic rank $0$
Dimension $6480$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 547 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 547.o (of order \(273\), degree \(144\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.36781699056\)
Analytic rank: \(0\)
Dimension: \(6480\)
Relative dimension: \(45\) over \(\Q(\zeta_{273})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{273}]$

Embedding invariants

Embedding label 4.20
Character \(\chi\) \(=\) 547.4
Dual form 547.2.o.a.137.20

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.418462 - 0.00481573i) q^{2} +(-0.456265 + 1.99903i) q^{3} +(-1.82438 - 0.0419962i) q^{4} +(0.863080 - 1.62172i) q^{5} +(0.200556 - 0.834318i) q^{6} +(1.13544 + 2.79794i) q^{7} +(1.59971 + 0.0552488i) q^{8} +(-1.08502 - 0.522518i) q^{9} +O(q^{10})\) \(q+(-0.418462 - 0.00481573i) q^{2} +(-0.456265 + 1.99903i) q^{3} +(-1.82438 - 0.0419962i) q^{4} +(0.863080 - 1.62172i) q^{5} +(0.200556 - 0.834318i) q^{6} +(1.13544 + 2.79794i) q^{7} +(1.59971 + 0.0552488i) q^{8} +(-1.08502 - 0.522518i) q^{9} +(-0.368976 + 0.674470i) q^{10} +(0.621525 + 0.647076i) q^{11} +(0.916353 - 3.62783i) q^{12} +(0.665478 + 0.100305i) q^{13} +(-0.461663 - 1.17630i) q^{14} +(2.84806 + 2.46525i) q^{15} +(2.97671 + 0.137117i) q^{16} +(-0.258924 + 1.53730i) q^{17} +(0.451523 + 0.223879i) q^{18} +(-4.32340 + 2.33294i) q^{19} +(-1.64269 + 2.92239i) q^{20} +(-6.11121 + 0.993169i) q^{21} +(-0.256968 - 0.273770i) q^{22} +(-3.13079 - 0.733560i) q^{23} +(-0.840336 + 3.17266i) q^{24} +(0.907727 + 1.34799i) q^{25} +(-0.277994 - 0.0451785i) q^{26} +(-2.29569 + 2.87871i) q^{27} +(-1.95397 - 5.15220i) q^{28} +(-4.82251 - 2.74740i) q^{29} +(-1.17993 - 1.04533i) q^{30} +(8.22535 + 2.95810i) q^{31} +(-4.44102 - 0.255811i) q^{32} +(-1.57710 + 0.947206i) q^{33} +(0.115753 - 0.642056i) q^{34} +(5.51744 + 0.573487i) q^{35} +(1.95755 + 0.998839i) q^{36} +(-7.00841 + 5.65529i) q^{37} +(1.82041 - 0.955427i) q^{38} +(-0.504146 + 1.28454i) q^{39} +(1.47028 - 2.54660i) q^{40} +(-0.714930 - 1.23829i) q^{41} +(2.56209 - 0.386173i) q^{42} +(-0.342265 + 3.48793i) q^{43} +(-1.10672 - 1.20662i) q^{44} +(-1.78383 + 1.30862i) q^{45} +(1.30658 + 0.322044i) q^{46} +(-8.62626 + 0.696384i) q^{47} +(-1.63227 + 5.88797i) q^{48} +(-1.51881 + 1.47574i) q^{49} +(-0.373357 - 0.568454i) q^{50} +(-2.95497 - 1.21901i) q^{51} +(-1.20988 - 0.210942i) q^{52} +(-3.30870 + 1.14709i) q^{53} +(0.974523 - 1.19357i) q^{54} +(1.58580 - 0.449459i) q^{55} +(1.66179 + 4.53863i) q^{56} +(-2.69100 - 9.70703i) q^{57} +(2.00480 + 1.17291i) q^{58} +(0.851766 - 0.362903i) q^{59} +(-5.09242 - 4.61717i) q^{60} +(-1.97251 + 0.922102i) q^{61} +(-3.42775 - 1.27746i) q^{62} +(0.230001 - 3.62910i) q^{63} +(-4.08838 - 0.282736i) q^{64} +(0.737027 - 0.992646i) q^{65} +(0.664518 - 0.388775i) q^{66} +(1.49401 + 1.45163i) q^{67} +(0.536937 - 2.79376i) q^{68} +(2.89487 - 5.92383i) q^{69} +(-2.30608 - 0.266553i) q^{70} +(14.6621 - 2.90551i) q^{71} +(-1.70685 - 0.895824i) q^{72} +(-0.893540 + 0.773438i) q^{73} +(2.95998 - 2.33277i) q^{74} +(-3.10883 + 1.19953i) q^{75} +(7.98552 - 4.07462i) q^{76} +(-1.10478 + 2.47370i) q^{77} +(0.217152 - 0.535104i) q^{78} +(6.07944 + 4.35315i) q^{79} +(2.79151 - 4.70904i) q^{80} +(-6.95974 - 8.72723i) q^{81} +(0.293207 + 0.521622i) q^{82} +(14.6950 + 9.29257i) q^{83} +(11.1909 - 1.55527i) q^{84} +(2.26960 + 1.74672i) q^{85} +(0.160022 - 1.45792i) q^{86} +(7.69246 - 8.38677i) q^{87} +(0.958511 + 1.06947i) q^{88} +(-1.02214 - 11.8136i) q^{89} +(0.752768 - 0.539016i) q^{90} +(0.474963 + 1.97586i) q^{91} +(5.68095 + 1.46978i) q^{92} +(-9.66625 + 15.0930i) q^{93} +(3.61312 - 0.249868i) q^{94} +(0.0519281 + 9.02485i) q^{95} +(2.53765 - 8.76099i) q^{96} +(-0.00382301 - 0.0287194i) q^{97} +(0.642673 - 0.610225i) q^{98} +(-0.336258 - 1.02685i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6480q - 143q^{2} - 94q^{3} - 189q^{4} - 141q^{5} - 114q^{6} - 154q^{7} - 130q^{8} - 1178q^{9} + O(q^{10}) \) \( 6480q - 143q^{2} - 94q^{3} - 189q^{4} - 141q^{5} - 114q^{6} - 154q^{7} - 130q^{8} - 1178q^{9} - 152q^{10} - 161q^{11} - 99q^{12} - 158q^{13} - 174q^{14} - 71q^{15} - 235q^{16} - 146q^{17} + 33q^{18} - 144q^{19} - 138q^{20} - 98q^{21} - 226q^{22} - 115q^{23} - 123q^{24} - 208q^{25} - 65q^{26} + 131q^{27} - 48q^{28} - 207q^{29} - 56q^{30} - 215q^{31} - 151q^{32} - 63q^{33} - 70q^{34} - 192q^{35} - 17q^{36} - 124q^{37} - 61q^{38} - 268q^{39} - 51q^{40} + 533q^{41} + 292q^{42} - 166q^{43} - 20q^{44} + 51q^{45} - 233q^{46} - 96q^{47} - 211q^{48} - 213q^{49} + 12q^{50} - 213q^{51} - 279q^{52} - 178q^{53} + 173q^{54} - 233q^{55} + 170q^{56} - 22q^{57} + 36q^{58} - 133q^{59} + 225q^{60} - 117q^{61} - 176q^{62} + 202q^{63} + 154q^{64} - 320q^{65} - 124q^{66} - 78q^{67} + 441q^{68} + 203q^{69} - 522q^{70} - 195q^{71} + 564q^{72} - 254q^{73} + 22q^{74} - 326q^{75} - 186q^{76} - 182q^{77} - 100q^{78} - 268q^{79} - 299q^{80} - 776q^{81} - 242q^{82} + 78q^{83} + 162q^{84} - 144q^{85} - 132q^{86} - 84q^{87} + 333q^{88} - 167q^{89} - 134q^{90} - 268q^{91} - 261q^{92} - 21q^{93} + 297q^{94} - 65q^{95} - 567q^{96} + 427q^{97} - 237q^{98} + 237q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/547\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{273}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.418462 0.00481573i −0.295897 0.00340524i −0.136568 0.990631i \(-0.543607\pi\)
−0.159329 + 0.987225i \(0.550933\pi\)
\(3\) −0.456265 + 1.99903i −0.263424 + 1.15414i 0.654084 + 0.756422i \(0.273054\pi\)
−0.917509 + 0.397716i \(0.869803\pi\)
\(4\) −1.82438 0.0419962i −0.912192 0.0209981i
\(5\) 0.863080 1.62172i 0.385981 0.725254i −0.611857 0.790968i \(-0.709577\pi\)
0.997838 + 0.0657145i \(0.0209327\pi\)
\(6\) 0.200556 0.834318i 0.0818767 0.340609i
\(7\) 1.13544 + 2.79794i 0.429155 + 1.05752i 0.975507 + 0.219966i \(0.0705948\pi\)
−0.546352 + 0.837556i \(0.683984\pi\)
\(8\) 1.59971 + 0.0552488i 0.565584 + 0.0195334i
\(9\) −1.08502 0.522518i −0.361673 0.174173i
\(10\) −0.368976 + 0.674470i −0.116680 + 0.213286i
\(11\) 0.621525 + 0.647076i 0.187397 + 0.195101i 0.808273 0.588808i \(-0.200403\pi\)
−0.620876 + 0.783909i \(0.713223\pi\)
\(12\) 0.916353 3.62783i 0.264528 1.04726i
\(13\) 0.665478 + 0.100305i 0.184571 + 0.0278195i 0.240677 0.970605i \(-0.422631\pi\)
−0.0561065 + 0.998425i \(0.517869\pi\)
\(14\) −0.461663 1.17630i −0.123385 0.314379i
\(15\) 2.84806 + 2.46525i 0.735366 + 0.636525i
\(16\) 2.97671 + 0.137117i 0.744179 + 0.0342793i
\(17\) −0.258924 + 1.53730i −0.0627983 + 0.372851i 0.936929 + 0.349518i \(0.113655\pi\)
−0.999728 + 0.0233327i \(0.992572\pi\)
\(18\) 0.451523 + 0.223879i 0.106425 + 0.0527687i
\(19\) −4.32340 + 2.33294i −0.991857 + 0.535214i −0.888228 0.459402i \(-0.848064\pi\)
−0.103629 + 0.994616i \(0.533045\pi\)
\(20\) −1.64269 + 2.92239i −0.367318 + 0.653465i
\(21\) −6.11121 + 0.993169i −1.33358 + 0.216727i
\(22\) −0.256968 0.273770i −0.0547858 0.0583679i
\(23\) −3.13079 0.733560i −0.652815 0.152958i −0.111482 0.993766i \(-0.535560\pi\)
−0.541332 + 0.840809i \(0.682080\pi\)
\(24\) −0.840336 + 3.17266i −0.171533 + 0.647616i
\(25\) 0.907727 + 1.34799i 0.181545 + 0.269598i
\(26\) −0.277994 0.0451785i −0.0545192 0.00886022i
\(27\) −2.29569 + 2.87871i −0.441806 + 0.554007i
\(28\) −1.95397 5.15220i −0.369266 0.973674i
\(29\) −4.82251 2.74740i −0.895517 0.510179i −0.0235381 0.999723i \(-0.507493\pi\)
−0.871979 + 0.489543i \(0.837163\pi\)
\(30\) −1.17993 1.04533i −0.215425 0.190850i
\(31\) 8.22535 + 2.95810i 1.47732 + 0.531291i 0.948315 0.317331i \(-0.102786\pi\)
0.529001 + 0.848621i \(0.322567\pi\)
\(32\) −4.44102 0.255811i −0.785068 0.0452214i
\(33\) −1.57710 + 0.947206i −0.274538 + 0.164887i
\(34\) 0.115753 0.642056i 0.0198515 0.110112i
\(35\) 5.51744 + 0.573487i 0.932617 + 0.0969371i
\(36\) 1.95755 + 0.998839i 0.326258 + 0.166473i
\(37\) −7.00841 + 5.65529i −1.15217 + 0.929724i −0.998295 0.0583654i \(-0.981411\pi\)
−0.153879 + 0.988090i \(0.549177\pi\)
\(38\) 1.82041 0.955427i 0.295310 0.154991i
\(39\) −0.504146 + 1.28454i −0.0807280 + 0.205691i
\(40\) 1.47028 2.54660i 0.232471 0.402652i
\(41\) −0.714930 1.23829i −0.111653 0.193389i 0.804784 0.593568i \(-0.202281\pi\)
−0.916437 + 0.400179i \(0.868948\pi\)
\(42\) 2.56209 0.386173i 0.395339 0.0595878i
\(43\) −0.342265 + 3.48793i −0.0521949 + 0.531904i 0.932929 + 0.360060i \(0.117244\pi\)
−0.985124 + 0.171844i \(0.945027\pi\)
\(44\) −1.10672 1.20662i −0.166845 0.181904i
\(45\) −1.78383 + 1.30862i −0.265918 + 0.195077i
\(46\) 1.30658 + 0.322044i 0.192645 + 0.0474828i
\(47\) −8.62626 + 0.696384i −1.25827 + 0.101578i −0.691548 0.722331i \(-0.743071\pi\)
−0.566722 + 0.823909i \(0.691789\pi\)
\(48\) −1.63227 + 5.88797i −0.235598 + 0.849855i
\(49\) −1.51881 + 1.47574i −0.216974 + 0.210819i
\(50\) −0.373357 0.568454i −0.0528007 0.0803915i
\(51\) −2.95497 1.21901i −0.413779 0.170696i
\(52\) −1.20988 0.210942i −0.167780 0.0292524i
\(53\) −3.30870 + 1.14709i −0.454485 + 0.157565i −0.545189 0.838313i \(-0.683542\pi\)
0.0907046 + 0.995878i \(0.471088\pi\)
\(54\) 0.974523 1.19357i 0.132616 0.162425i
\(55\) 1.58580 0.449459i 0.213829 0.0606050i
\(56\) 1.66179 + 4.53863i 0.222066 + 0.606500i
\(57\) −2.69100 9.70703i −0.356431 1.28573i
\(58\) 2.00480 + 1.17291i 0.263244 + 0.154010i
\(59\) 0.851766 0.362903i 0.110890 0.0472460i −0.335809 0.941930i \(-0.609010\pi\)
0.446699 + 0.894684i \(0.352599\pi\)
\(60\) −5.09242 4.61717i −0.657429 0.596074i
\(61\) −1.97251 + 0.922102i −0.252554 + 0.118063i −0.545630 0.838026i \(-0.683710\pi\)
0.293076 + 0.956089i \(0.405321\pi\)
\(62\) −3.42775 1.27746i −0.435324 0.162238i
\(63\) 0.230001 3.62910i 0.0289774 0.457224i
\(64\) −4.08838 0.282736i −0.511047 0.0353420i
\(65\) 0.737027 0.992646i 0.0914169 0.123123i
\(66\) 0.664518 0.388775i 0.0817965 0.0478548i
\(67\) 1.49401 + 1.45163i 0.182522 + 0.177345i 0.782459 0.622702i \(-0.213965\pi\)
−0.599937 + 0.800047i \(0.704808\pi\)
\(68\) 0.536937 2.79376i 0.0651132 0.338793i
\(69\) 2.89487 5.92383i 0.348502 0.713145i
\(70\) −2.30608 0.266553i −0.275629 0.0318592i
\(71\) 14.6621 2.90551i 1.74007 0.344821i 0.780257 0.625459i \(-0.215088\pi\)
0.959814 + 0.280638i \(0.0905461\pi\)
\(72\) −1.70685 0.895824i −0.201154 0.105574i
\(73\) −0.893540 + 0.773438i −0.104581 + 0.0905241i −0.705189 0.709020i \(-0.749138\pi\)
0.600608 + 0.799544i \(0.294925\pi\)
\(74\) 2.95998 2.33277i 0.344091 0.271179i
\(75\) −3.10883 + 1.19953i −0.358977 + 0.138510i
\(76\) 7.98552 4.07462i 0.916002 0.467390i
\(77\) −1.10478 + 2.47370i −0.125901 + 0.281905i
\(78\) 0.217152 0.535104i 0.0245876 0.0605886i
\(79\) 6.07944 + 4.35315i 0.683990 + 0.489768i 0.870173 0.492747i \(-0.164007\pi\)
−0.186183 + 0.982515i \(0.559612\pi\)
\(80\) 2.79151 4.70904i 0.312100 0.526487i
\(81\) −6.95974 8.72723i −0.773304 0.969693i
\(82\) 0.293207 + 0.521622i 0.0323793 + 0.0576035i
\(83\) 14.6950 + 9.29257i 1.61299 + 1.01999i 0.966362 + 0.257186i \(0.0827953\pi\)
0.646627 + 0.762806i \(0.276179\pi\)
\(84\) 11.1909 1.55527i 1.22103 0.169694i
\(85\) 2.26960 + 1.74672i 0.246173 + 0.189458i
\(86\) 0.160022 1.45792i 0.0172556 0.157211i
\(87\) 7.69246 8.38677i 0.824719 0.899156i
\(88\) 0.958511 + 1.06947i 0.102178 + 0.114006i
\(89\) −1.02214 11.8136i −0.108347 1.25224i −0.829122 0.559068i \(-0.811159\pi\)
0.720775 0.693169i \(-0.243786\pi\)
\(90\) 0.752768 0.539016i 0.0793487 0.0568173i
\(91\) 0.474963 + 1.97586i 0.0497896 + 0.207126i
\(92\) 5.68095 + 1.46978i 0.592280 + 0.153235i
\(93\) −9.66625 + 15.0930i −1.00234 + 1.56507i
\(94\) 3.61312 0.249868i 0.372664 0.0257720i
\(95\) 0.0519281 + 9.02485i 0.00532771 + 0.925930i
\(96\) 2.53765 8.76099i 0.258998 0.894164i
\(97\) −0.00382301 0.0287194i −0.000388168 0.00291601i 0.991061 0.133410i \(-0.0425927\pi\)
−0.991449 + 0.130494i \(0.958344\pi\)
\(98\) 0.642673 0.610225i 0.0649197 0.0616420i
\(99\) −0.336258 1.02685i −0.0337952 0.103202i
\(100\) −1.59943 2.49737i −0.159943 0.249737i
\(101\) 5.27301 + 7.10182i 0.524684 + 0.706658i 0.983303 0.181975i \(-0.0582491\pi\)
−0.458619 + 0.888633i \(0.651656\pi\)
\(102\) 1.23067 + 0.524341i 0.121855 + 0.0519175i
\(103\) 1.39077 + 3.02025i 0.137037 + 0.297594i 0.964572 0.263820i \(-0.0849826\pi\)
−0.827535 + 0.561414i \(0.810257\pi\)
\(104\) 1.05903 + 0.197226i 0.103847 + 0.0193396i
\(105\) −3.66383 + 10.7678i −0.357553 + 1.05083i
\(106\) 1.39009 0.464080i 0.135017 0.0450754i
\(107\) 3.74420 0.922864i 0.361966 0.0892166i −0.0541385 0.998533i \(-0.517241\pi\)
0.416104 + 0.909317i \(0.363395\pi\)
\(108\) 4.30912 5.15546i 0.414645 0.496084i
\(109\) 5.04319 + 9.74484i 0.483050 + 0.933387i 0.997135 + 0.0756473i \(0.0241023\pi\)
−0.514085 + 0.857739i \(0.671868\pi\)
\(110\) −0.665761 + 0.180444i −0.0634778 + 0.0172047i
\(111\) −8.10739 16.5903i −0.769519 1.57468i
\(112\) 2.99623 + 8.48436i 0.283117 + 0.801696i
\(113\) 0.170991 + 5.94192i 0.0160855 + 0.558969i 0.967762 + 0.251867i \(0.0810445\pi\)
−0.951676 + 0.307103i \(0.900641\pi\)
\(114\) 1.07933 + 4.07498i 0.101089 + 0.381657i
\(115\) −3.89175 + 4.44413i −0.362907 + 0.414417i
\(116\) 8.68272 + 5.21484i 0.806170 + 0.484186i
\(117\) −0.669646 0.456557i −0.0619088 0.0422087i
\(118\) −0.358179 + 0.147759i −0.0329730 + 0.0136023i
\(119\) −4.59528 + 1.02106i −0.421248 + 0.0936004i
\(120\) 4.41987 + 4.10104i 0.403477 + 0.374372i
\(121\) 0.410511 10.1867i 0.0373192 0.926067i
\(122\) 0.829862 0.376365i 0.0751321 0.0340745i
\(123\) 2.80158 0.864173i 0.252610 0.0779198i
\(124\) −14.8820 5.74214i −1.33644 0.515660i
\(125\) 12.1057 1.25828i 1.08277 0.112544i
\(126\) −0.113723 + 1.51753i −0.0101313 + 0.135193i
\(127\) 6.08419 16.6169i 0.539885 1.47452i −0.311640 0.950200i \(-0.600878\pi\)
0.851524 0.524315i \(-0.175678\pi\)
\(128\) 10.5774 + 0.853894i 0.934917 + 0.0754743i
\(129\) −6.81629 2.27561i −0.600141 0.200357i
\(130\) −0.313198 + 0.411835i −0.0274693 + 0.0361203i
\(131\) 7.72026 + 1.62243i 0.674522 + 0.141752i 0.530322 0.847796i \(-0.322071\pi\)
0.144200 + 0.989549i \(0.453939\pi\)
\(132\) 2.91701 1.66183i 0.253894 0.144644i
\(133\) −11.4364 9.44771i −0.991661 0.819221i
\(134\) −0.618194 0.614648i −0.0534039 0.0530975i
\(135\) 2.68708 + 6.20752i 0.231267 + 0.534258i
\(136\) −0.499138 + 2.44494i −0.0428007 + 0.209652i
\(137\) −3.14006 + 0.0722822i −0.268273 + 0.00617549i −0.156942 0.987608i \(-0.550164\pi\)
−0.111331 + 0.993783i \(0.535512\pi\)
\(138\) −1.23992 + 2.46495i −0.105549 + 0.209831i
\(139\) −15.8454 7.18632i −1.34399 0.609535i −0.393221 0.919444i \(-0.628639\pi\)
−0.950766 + 0.309908i \(0.899702\pi\)
\(140\) −10.0418 1.27797i −0.848690 0.108008i
\(141\) 2.54377 17.5619i 0.214224 1.47898i
\(142\) −6.14952 + 1.14524i −0.516056 + 0.0961061i
\(143\) 0.348706 + 0.492957i 0.0291603 + 0.0412231i
\(144\) −3.15815 1.70416i −0.263179 0.142013i
\(145\) −8.61771 + 5.44951i −0.715662 + 0.452557i
\(146\) 0.377637 0.319351i 0.0312534 0.0264297i
\(147\) −2.25705 3.70948i −0.186159 0.305952i
\(148\) 13.0235 10.0231i 1.07053 0.823893i
\(149\) 10.3517 10.5320i 0.848045 0.862812i −0.143885 0.989594i \(-0.545960\pi\)
0.991931 + 0.126783i \(0.0404651\pi\)
\(150\) 1.30670 0.486986i 0.106692 0.0397622i
\(151\) 4.34922 + 14.3933i 0.353935 + 1.17131i 0.934159 + 0.356857i \(0.116152\pi\)
−0.580224 + 0.814457i \(0.697035\pi\)
\(152\) −7.04510 + 3.49317i −0.571433 + 0.283334i
\(153\) 1.08421 1.53271i 0.0876529 0.123912i
\(154\) 0.474219 1.02983i 0.0382137 0.0829860i
\(155\) 11.8963 10.7861i 0.955536 0.866361i
\(156\) 0.973701 2.32233i 0.0779585 0.185935i
\(157\) 0.168516 + 0.201613i 0.0134490 + 0.0160905i 0.773958 0.633237i \(-0.218274\pi\)
−0.760509 + 0.649327i \(0.775051\pi\)
\(158\) −2.52305 1.85091i −0.200723 0.147250i
\(159\) −0.783421 7.13755i −0.0621293 0.566045i
\(160\) −4.24780 + 6.98128i −0.335818 + 0.551919i
\(161\) −1.50236 9.59267i −0.118403 0.756008i
\(162\) 2.87036 + 3.68553i 0.225516 + 0.289563i
\(163\) −4.20583 + 13.3615i −0.329426 + 1.04655i 0.632803 + 0.774313i \(0.281904\pi\)
−0.962229 + 0.272242i \(0.912235\pi\)
\(164\) 1.25230 + 2.28915i 0.0977883 + 0.178752i
\(165\) 0.174935 + 3.37512i 0.0136187 + 0.262753i
\(166\) −6.10456 3.95935i −0.473805 0.307305i
\(167\) 0.0482425 2.79453i 0.00373312 0.216247i −0.992121 0.125283i \(-0.960016\pi\)
0.995854 0.0909641i \(-0.0289949\pi\)
\(168\) −9.83106 + 1.25115i −0.758482 + 0.0965281i
\(169\) −11.9896 3.69832i −0.922280 0.284486i
\(170\) −0.941329 0.741864i −0.0721966 0.0568984i
\(171\) 5.90998 0.272233i 0.451947 0.0208181i
\(172\) 0.770901 6.34894i 0.0587807 0.484102i
\(173\) −7.06890 + 4.70126i −0.537439 + 0.357430i −0.792864 0.609399i \(-0.791411\pi\)
0.255425 + 0.966829i \(0.417785\pi\)
\(174\) −3.25939 + 3.47250i −0.247094 + 0.263249i
\(175\) −2.74093 + 4.07032i −0.207195 + 0.307688i
\(176\) 1.76138 + 2.01138i 0.132769 + 0.151614i
\(177\) 0.336823 + 1.86828i 0.0253171 + 0.140429i
\(178\) 0.370835 + 4.94846i 0.0277953 + 0.370902i
\(179\) −11.8740 3.36542i −0.887506 0.251543i −0.201804 0.979426i \(-0.564680\pi\)
−0.685702 + 0.727882i \(0.740505\pi\)
\(180\) 3.30935 2.31251i 0.246665 0.172364i
\(181\) −3.28542 16.0930i −0.244203 1.19619i −0.898165 0.439659i \(-0.855099\pi\)
0.653962 0.756527i \(-0.273106\pi\)
\(182\) −0.189239 0.829108i −0.0140273 0.0614576i
\(183\) −0.943317 4.36382i −0.0697320 0.322583i
\(184\) −4.96783 1.34646i −0.366234 0.0992621i
\(185\) 3.12247 + 16.2466i 0.229568 + 1.19447i
\(186\) 4.11764 6.26930i 0.301920 0.459687i
\(187\) −1.15568 + 0.787929i −0.0845117 + 0.0576191i
\(188\) 15.7669 0.908201i 1.14992 0.0662374i
\(189\) −10.6611 3.15462i −0.775478 0.229465i
\(190\) 0.0217313 3.77680i 0.00157656 0.273998i
\(191\) 0.424748 + 6.70195i 0.0307337 + 0.484936i 0.983462 + 0.181113i \(0.0579701\pi\)
−0.952729 + 0.303823i \(0.901737\pi\)
\(192\) 2.43058 8.04377i 0.175412 0.580509i
\(193\) −1.50898 8.95922i −0.108619 0.644899i −0.986211 0.165492i \(-0.947079\pi\)
0.877593 0.479407i \(-0.159148\pi\)
\(194\) 0.00146148 + 0.0120364i 0.000104928 + 0.000864161i
\(195\) 1.64805 + 1.92624i 0.118019 + 0.137941i
\(196\) 2.83288 2.62852i 0.202348 0.187752i
\(197\) 0.134762 0.195237i 0.00960140 0.0139100i −0.818154 0.574999i \(-0.805002\pi\)
0.827755 + 0.561089i \(0.189618\pi\)
\(198\) 0.135766 + 0.431316i 0.00964847 + 0.0306523i
\(199\) 15.9518 16.6076i 1.13079 1.17728i 0.148700 0.988882i \(-0.452491\pi\)
0.982093 0.188398i \(-0.0603293\pi\)
\(200\) 1.37763 + 2.20655i 0.0974130 + 0.156026i
\(201\) −3.58351 + 2.32423i −0.252762 + 0.163939i
\(202\) −2.17235 2.99723i −0.152846 0.210885i
\(203\) 2.21140 16.6126i 0.155210 1.16597i
\(204\) 5.33981 + 2.34804i 0.373861 + 0.164396i
\(205\) −2.62520 + 0.0906659i −0.183352 + 0.00633238i
\(206\) −0.567441 1.27056i −0.0395355 0.0885239i
\(207\) 3.01367 + 2.43182i 0.209464 + 0.169023i
\(208\) 1.96719 + 0.389827i 0.136400 + 0.0270296i
\(209\) −4.19669 1.34759i −0.290291 0.0932146i
\(210\) 1.58503 4.48828i 0.109377 0.309721i
\(211\) −8.82724 + 1.02032i −0.607693 + 0.0702416i −0.413166 0.910656i \(-0.635577\pi\)
−0.194527 + 0.980897i \(0.562317\pi\)
\(212\) 6.08451 1.95378i 0.417886 0.134186i
\(213\) −0.881603 + 30.6356i −0.0604065 + 2.09912i
\(214\) −1.57125 + 0.368152i −0.107408 + 0.0251664i
\(215\) 5.36103 + 3.56542i 0.365619 + 0.243159i
\(216\) −3.83149 + 4.47827i −0.260700 + 0.304708i
\(217\) 1.06279 + 26.3728i 0.0721466 + 1.79030i
\(218\) −2.06345 4.10213i −0.139755 0.277831i
\(219\) −1.13843 2.13910i −0.0769282 0.144547i
\(220\) −2.91198 + 0.753387i −0.196326 + 0.0507934i
\(221\) −0.326507 + 0.997072i −0.0219632 + 0.0670703i
\(222\) 3.31274 + 6.98144i 0.222336 + 0.468564i
\(223\) 3.58571 + 4.71498i 0.240117 + 0.315738i 0.900219 0.435438i \(-0.143406\pi\)
−0.660102 + 0.751176i \(0.729487\pi\)
\(224\) −4.32675 12.7162i −0.289093 0.849634i
\(225\) −0.280552 1.93690i −0.0187035 0.129127i
\(226\) −0.0429386 2.48729i −0.00285624 0.165452i
\(227\) 2.31899 3.71433i 0.153917 0.246529i −0.762289 0.647237i \(-0.775924\pi\)
0.916206 + 0.400708i \(0.131236\pi\)
\(228\) 4.50175 + 17.8224i 0.298136 + 1.18031i
\(229\) 1.16220 + 11.8437i 0.0768005 + 0.782654i 0.953455 + 0.301534i \(0.0974987\pi\)
−0.876655 + 0.481120i \(0.840230\pi\)
\(230\) 1.64995 1.84096i 0.108794 0.121389i
\(231\) −4.44093 3.33714i −0.292191 0.219568i
\(232\) −7.56283 4.66149i −0.496524 0.306042i
\(233\) 5.87379 + 7.19409i 0.384805 + 0.471300i 0.930292 0.366819i \(-0.119553\pi\)
−0.545488 + 0.838119i \(0.683656\pi\)
\(234\) 0.278022 + 0.194276i 0.0181749 + 0.0127002i
\(235\) −6.31582 + 14.5904i −0.411999 + 0.951772i
\(236\) −1.56919 + 0.626304i −0.102145 + 0.0407689i
\(237\) −11.4759 + 10.1668i −0.745440 + 0.660402i
\(238\) 1.92786 0.405145i 0.124965 0.0262617i
\(239\) 6.20422 13.0751i 0.401318 0.845759i −0.597712 0.801711i \(-0.703923\pi\)
0.999029 0.0440480i \(-0.0140255\pi\)
\(240\) 8.13983 + 7.72887i 0.525424 + 0.498896i
\(241\) −7.02536 + 9.69301i −0.452543 + 0.624382i −0.973359 0.229287i \(-0.926360\pi\)
0.520816 + 0.853669i \(0.325628\pi\)
\(242\) −0.220840 + 4.26078i −0.0141961 + 0.273893i
\(243\) 10.6693 5.13808i 0.684438 0.329608i
\(244\) 3.63734 1.59943i 0.232857 0.102393i
\(245\) 1.08237 + 3.73676i 0.0691499 + 0.238733i
\(246\) −1.17652 + 0.348132i −0.0750119 + 0.0221961i
\(247\) −3.11114 + 1.11887i −0.197957 + 0.0711917i
\(248\) 12.9948 + 5.18655i 0.825168 + 0.329346i
\(249\) −25.2809 + 25.1359i −1.60211 + 1.59292i
\(250\) −5.07183 + 0.468243i −0.320771 + 0.0296143i
\(251\) 8.55213 6.42651i 0.539806 0.405638i −0.295567 0.955322i \(-0.595508\pi\)
0.835372 + 0.549684i \(0.185252\pi\)
\(252\) −0.572019 + 6.61122i −0.0360338 + 0.416468i
\(253\) −1.47119 2.48178i −0.0924932 0.156028i
\(254\) −2.62602 + 6.92425i −0.164771 + 0.434466i
\(255\) −4.52727 + 3.74002i −0.283509 + 0.234209i
\(256\) 3.73946 + 0.345236i 0.233717 + 0.0215772i
\(257\) 5.58473 3.44225i 0.348366 0.214721i −0.339421 0.940635i \(-0.610231\pi\)
0.687786 + 0.725913i \(0.258583\pi\)
\(258\) 2.84140 + 0.985083i 0.176898 + 0.0613286i
\(259\) −23.7808 13.1879i −1.47767 0.819454i
\(260\) −1.38631 + 1.78001i −0.0859751 + 0.110392i
\(261\) 3.79695 + 5.50083i 0.235025 + 0.340493i
\(262\) −3.22282 0.716103i −0.199107 0.0442410i
\(263\) 7.61275 1.32728i 0.469422 0.0818438i 0.0678981 0.997692i \(-0.478371\pi\)
0.401524 + 0.915848i \(0.368481\pi\)
\(264\) −2.57524 + 1.42812i −0.158495 + 0.0878950i
\(265\) −0.995417 + 6.35580i −0.0611480 + 0.390434i
\(266\) 4.74019 + 4.00858i 0.290640 + 0.245782i
\(267\) 24.0820 + 3.34684i 1.47380 + 0.204823i
\(268\) −2.66468 2.71108i −0.162771 0.165605i
\(269\) 15.9811 + 7.47080i 0.974388 + 0.455503i 0.844224 0.535990i \(-0.180061\pi\)
0.130164 + 0.991493i \(0.458450\pi\)
\(270\) −1.09455 2.61055i −0.0666120 0.158873i
\(271\) 5.10441 9.86314i 0.310071 0.599143i −0.681030 0.732255i \(-0.738468\pi\)
0.991101 + 0.133112i \(0.0424971\pi\)
\(272\) −0.981533 + 4.54061i −0.0595142 + 0.275315i
\(273\) −4.16650 + 0.0479488i −0.252168 + 0.00290199i
\(274\) 1.31434 0.0151257i 0.0794023 0.000913776i
\(275\) −0.308077 + 1.42518i −0.0185777 + 0.0859414i
\(276\) −5.53013 + 10.6858i −0.332875 + 0.643207i
\(277\) −4.09161 9.75870i −0.245841 0.586344i 0.751459 0.659780i \(-0.229351\pi\)
−0.997300 + 0.0734365i \(0.976603\pi\)
\(278\) 6.59608 + 3.08351i 0.395606 + 0.184936i
\(279\) −7.37900 7.50749i −0.441769 0.449461i
\(280\) 8.79463 + 1.22225i 0.525580 + 0.0730432i
\(281\) 12.4245 + 10.5069i 0.741186 + 0.626789i 0.935163 0.354217i \(-0.115252\pi\)
−0.193978 + 0.981006i \(0.562139\pi\)
\(282\) −1.14904 + 7.33672i −0.0684245 + 0.436895i
\(283\) −12.7807 + 7.08765i −0.759733 + 0.421317i −0.816703 0.577059i \(-0.804200\pi\)
0.0569699 + 0.998376i \(0.481856\pi\)
\(284\) −26.8713 + 4.68501i −1.59452 + 0.278004i
\(285\) −18.0646 4.01391i −1.07005 0.237764i
\(286\) −0.143546 0.207963i −0.00848808 0.0122971i
\(287\) 2.65291 3.40634i 0.156597 0.201070i
\(288\) 4.68492 + 2.59807i 0.276062 + 0.153093i
\(289\) 13.7658 + 4.77247i 0.809755 + 0.280733i
\(290\) 3.63243 2.23891i 0.213303 0.131473i
\(291\) 0.0591551 + 0.00546133i 0.00346773 + 0.000320149i
\(292\) 1.66264 1.37352i 0.0972986 0.0803793i
\(293\) 8.18660 21.5863i 0.478266 1.26108i −0.451282 0.892382i \(-0.649033\pi\)
0.929548 0.368702i \(-0.120198\pi\)
\(294\) 0.926627 + 1.56314i 0.0540420 + 0.0911643i
\(295\) 0.146615 1.69454i 0.00853628 0.0986598i
\(296\) −11.5239 + 8.65964i −0.669812 + 0.503331i
\(297\) −3.28957 + 0.303701i −0.190880 + 0.0176225i
\(298\) −4.38252 + 4.35737i −0.253872 + 0.252416i
\(299\) −2.00989 0.802201i −0.116235 0.0463925i
\(300\) 5.72207 2.05784i 0.330364 0.118810i
\(301\) −10.1476 + 3.00269i −0.584900 + 0.173072i
\(302\) −1.75067 6.04401i −0.100740 0.347794i
\(303\) −16.6026 + 7.30057i −0.953795 + 0.419407i
\(304\) −13.1894 + 6.35169i −0.756465 + 0.364295i
\(305\) −0.207049 + 3.99470i −0.0118556 + 0.228736i
\(306\) −0.461080 + 0.636160i −0.0263582 + 0.0363669i
\(307\) 15.2789 + 14.5075i 0.872013 + 0.827986i 0.986215 0.165472i \(-0.0529146\pi\)
−0.114202 + 0.993458i \(0.536431\pi\)
\(308\) 2.11942 4.46659i 0.120765 0.254507i
\(309\) −6.67212 + 1.40216i −0.379563 + 0.0797661i
\(310\) −5.03010 + 4.45628i −0.285691 + 0.253100i
\(311\) 17.9447 7.16218i 1.01755 0.406130i 0.198651 0.980070i \(-0.436344\pi\)
0.818897 + 0.573940i \(0.194586\pi\)
\(312\) −0.877458 + 2.02705i −0.0496763 + 0.114759i
\(313\) −6.60419 4.61487i −0.373291 0.260848i 0.371099 0.928593i \(-0.378981\pi\)
−0.744390 + 0.667745i \(0.767259\pi\)
\(314\) −0.0695465 0.0851790i −0.00392473 0.00480693i
\(315\) −5.68687 3.50520i −0.320419 0.197496i
\(316\) −10.9084 8.19714i −0.613646 0.461125i
\(317\) 0.749490 0.836256i 0.0420956 0.0469688i −0.723265 0.690571i \(-0.757359\pi\)
0.765360 + 0.643602i \(0.222561\pi\)
\(318\) 0.293459 + 2.99056i 0.0164564 + 0.167703i
\(319\) −1.21953 4.82810i −0.0682806 0.270322i
\(320\) −3.98711 + 6.38617i −0.222886 + 0.356998i
\(321\) 0.136480 + 7.90583i 0.00761757 + 0.441260i
\(322\) 0.582485 + 4.02140i 0.0324606 + 0.224104i
\(323\) −2.46701 7.25044i −0.137268 0.403425i
\(324\) 12.3307 + 16.2141i 0.685040 + 0.900783i
\(325\) 0.468863 + 0.988108i 0.0260078 + 0.0548103i
\(326\) 1.82432 5.57103i 0.101040 0.308551i
\(327\) −21.7812 + 5.63523i −1.20450 + 0.311629i
\(328\) −1.07527 2.02041i −0.0593717 0.111559i
\(329\) −11.7430 23.3451i −0.647414 1.28706i
\(330\) −0.0569501 1.41320i −0.00313500 0.0777943i
\(331\) −10.1233 + 11.8321i −0.556425 + 0.650352i −0.964962 0.262389i \(-0.915490\pi\)
0.408537 + 0.912742i \(0.366039\pi\)
\(332\) −26.4191 17.5703i −1.44994 0.964298i
\(333\) 10.5592 2.47408i 0.578643 0.135579i
\(334\) −0.0336453 + 1.16917i −0.00184099 + 0.0639742i
\(335\) 3.64358 1.16998i 0.199070 0.0639229i
\(336\) −18.3275 + 2.11843i −0.999848 + 0.115570i
\(337\) 4.48686 12.7053i 0.244415 0.692104i −0.754926 0.655810i \(-0.772327\pi\)
0.999341 0.0362945i \(-0.0115554\pi\)
\(338\) 4.99940 + 1.60534i 0.271931 + 0.0873191i
\(339\) −11.9561 2.36927i −0.649365 0.128681i
\(340\) −4.06726 3.28200i −0.220578 0.177991i
\(341\) 3.19814 + 7.16096i 0.173189 + 0.387788i
\(342\) −2.47441 + 0.0854580i −0.133801 + 0.00462104i
\(343\) 13.4953 + 5.93421i 0.728678 + 0.320417i
\(344\) −0.740229 + 5.56077i −0.0399105 + 0.299817i
\(345\) −7.10826 9.80740i −0.382696 0.528013i
\(346\) 2.98071 1.93326i 0.160244 0.103932i
\(347\) −6.82196 10.9267i −0.366222 0.586578i 0.612824 0.790220i \(-0.290034\pi\)
−0.979046 + 0.203642i \(0.934722\pi\)
\(348\) −14.3862 + 14.9776i −0.771182 + 0.802885i
\(349\) 9.73848 + 30.9382i 0.521289 + 1.65608i 0.734138 + 0.679000i \(0.237586\pi\)
−0.212850 + 0.977085i \(0.568274\pi\)
\(350\) 1.16657 1.69008i 0.0623560 0.0903383i
\(351\) −1.81648 + 1.68545i −0.0969566 + 0.0899626i
\(352\) −2.59467 3.03267i −0.138296 0.161642i
\(353\) −0.620493 5.11022i −0.0330255 0.271990i −0.999862 0.0165946i \(-0.994718\pi\)
0.966837 0.255395i \(-0.0822055\pi\)
\(354\) −0.131950 0.783426i −0.00701308 0.0416386i
\(355\) 7.94265 26.2854i 0.421552 1.39509i
\(356\) 1.36865 + 21.5954i 0.0725383 + 1.14456i
\(357\) 0.0555363 9.65195i 0.00293929 0.510835i
\(358\) 4.95262 + 1.46548i 0.261754 + 0.0774531i
\(359\) −22.8886 + 1.31843i −1.20801 + 0.0695839i −0.649795 0.760109i \(-0.725145\pi\)
−0.558219 + 0.829693i \(0.688515\pi\)
\(360\) −2.92592 + 1.99486i −0.154210 + 0.105138i
\(361\) 2.81868 4.29157i 0.148352 0.225872i
\(362\) 1.29732 + 6.75014i 0.0681857 + 0.354780i
\(363\) 20.1762 + 5.46847i 1.05898 + 0.287020i
\(364\) −0.783536 3.62467i −0.0410684 0.189984i
\(365\) 0.483102 + 2.11661i 0.0252867 + 0.110788i
\(366\) 0.373727 + 1.83064i 0.0195350 + 0.0956889i
\(367\) −12.1802 + 8.51127i −0.635801 + 0.444285i −0.845861 0.533404i \(-0.820913\pi\)
0.210059 + 0.977689i \(0.432634\pi\)
\(368\) −9.21888 2.61288i −0.480567 0.136206i
\(369\) 0.128682 + 1.71714i 0.00669890 + 0.0893905i
\(370\) −1.22839 6.81362i −0.0638611 0.354223i
\(371\) −6.96631 7.95509i −0.361673 0.413008i
\(372\) 18.2688 27.1295i 0.947193 1.40660i
\(373\) 6.57308 7.00285i 0.340341 0.362594i −0.536056 0.844182i \(-0.680086\pi\)
0.876398 + 0.481588i \(0.159940\pi\)
\(374\) 0.487402 0.324153i 0.0252030 0.0167615i
\(375\) −3.00807 + 24.7737i −0.155336 + 1.27931i
\(376\) −13.8380 + 0.637423i −0.713641 + 0.0328726i
\(377\) −2.93370 2.31206i −0.151093 0.119077i
\(378\) 4.44606 + 1.37143i 0.228680 + 0.0705386i
\(379\) 12.6496 1.60985i 0.649766 0.0826923i 0.205599 0.978636i \(-0.434086\pi\)
0.444167 + 0.895944i \(0.353500\pi\)
\(380\) 0.284273 16.4670i 0.0145829 0.844738i
\(381\) 30.4417 + 19.7442i 1.55958 + 1.01152i
\(382\) −0.145466 2.80656i −0.00744270 0.143596i
\(383\) 4.19866 + 7.67494i 0.214541 + 0.392171i 0.962379 0.271710i \(-0.0875893\pi\)
−0.747838 + 0.663881i \(0.768908\pi\)
\(384\) −6.53304 + 20.7548i −0.333388 + 1.05914i
\(385\) 3.05813 + 3.92664i 0.155857 + 0.200120i
\(386\) 0.588304 + 3.75636i 0.0299439 + 0.191194i
\(387\) 2.19387 3.60563i 0.111521 0.183284i
\(388\) 0.00576854 + 0.0525557i 0.000292853 + 0.00266811i
\(389\) 19.3797 + 14.2169i 0.982591 + 0.720828i 0.960313 0.278924i \(-0.0899778\pi\)
0.0222777 + 0.999752i \(0.492908\pi\)
\(390\) −0.680368 0.813996i −0.0344518 0.0412183i
\(391\) 1.93834 4.62304i 0.0980261 0.233797i
\(392\) −2.51120 + 2.27684i −0.126835 + 0.114998i
\(393\) −6.76576 + 14.6927i −0.341287 + 0.741151i
\(394\) −0.0573330 + 0.0810501i −0.00288840 + 0.00408324i
\(395\) 12.3066 6.10200i 0.619213 0.307025i
\(396\) 0.570339 + 1.88748i 0.0286606 + 0.0948497i
\(397\) 31.3443 11.6815i 1.57313 0.586277i 0.596765 0.802416i \(-0.296453\pi\)
0.976363 + 0.216139i \(0.0693464\pi\)
\(398\) −6.75519 + 6.87282i −0.338607 + 0.344503i
\(399\) 24.1042 18.5510i 1.20672 0.928711i
\(400\) 2.51721 + 4.13705i 0.125861 + 0.206852i
\(401\) 18.7671 15.8705i 0.937182 0.792535i −0.0412401 0.999149i \(-0.513131\pi\)
0.978423 + 0.206614i \(0.0662444\pi\)
\(402\) 1.51076 0.955344i 0.0753497 0.0476482i
\(403\) 5.17708 + 2.79359i 0.257889 + 0.139159i
\(404\) −9.32174 13.1779i −0.463774 0.655625i
\(405\) −20.1599 + 3.75442i −1.00175 + 0.186559i
\(406\) −1.00539 + 6.94108i −0.0498966 + 0.344480i
\(407\) −8.01530 1.02007i −0.397304 0.0505628i
\(408\) −4.65976 2.11333i −0.230692 0.104625i
\(409\) −2.55260 + 5.07455i −0.126218 + 0.250920i −0.947601 0.319457i \(-0.896500\pi\)
0.821383 + 0.570377i \(0.193203\pi\)
\(410\) 1.09898 0.0252979i 0.0542749 0.00124938i
\(411\) 1.28820 6.31004i 0.0635424 0.311251i
\(412\) −2.41047 5.56850i −0.118755 0.274340i
\(413\) 1.98251 + 1.97113i 0.0975529 + 0.0969932i
\(414\) −1.24939 1.03214i −0.0614043 0.0507267i
\(415\) 27.7529 15.8109i 1.36234 0.776128i
\(416\) −2.92974 0.615692i −0.143642 0.0301868i
\(417\) 21.5953 28.3965i 1.05753 1.39058i
\(418\) 1.74967 + 0.584124i 0.0855790 + 0.0285705i
\(419\) −24.7889 2.00117i −1.21102 0.0977634i −0.541591 0.840642i \(-0.682178\pi\)
−0.669426 + 0.742879i \(0.733460\pi\)
\(420\) 7.13643 19.4908i 0.348222 0.951053i
\(421\) 0.153749 2.05164i 0.00749327 0.0999907i −0.992203 0.124631i \(-0.960225\pi\)
0.999696 + 0.0246408i \(0.00784420\pi\)
\(422\) 3.69878 0.384454i 0.180054 0.0187149i
\(423\) 9.72354 + 3.75179i 0.472774 + 0.182418i
\(424\) −5.35634 + 1.65221i −0.260127 + 0.0802386i
\(425\) −2.30730 + 1.04643i −0.111921 + 0.0507591i
\(426\) 0.516450 12.8156i 0.0250221 0.620917i
\(427\) −4.81965 4.47198i −0.233239 0.216414i
\(428\) −6.86962 + 1.52641i −0.332056 + 0.0737820i
\(429\) −1.14454 + 0.472154i −0.0552587 + 0.0227958i
\(430\) −2.22622 1.51781i −0.107358 0.0731952i
\(431\) −33.9910 20.4150i −1.63729 0.983355i −0.971445 0.237264i \(-0.923749\pi\)
−0.665844 0.746091i \(-0.731928\pi\)
\(432\) −7.22834 + 8.25431i −0.347774 + 0.397136i
\(433\) 4.34282 + 16.3962i 0.208703 + 0.787949i 0.987090 + 0.160165i \(0.0512027\pi\)
−0.778388 + 0.627784i \(0.783962\pi\)
\(434\) −0.317731 11.0411i −0.0152516 0.529990i
\(435\) −6.96176 19.7134i −0.333791 0.945187i
\(436\) −8.79146 17.9901i −0.421035 0.861571i
\(437\) 15.2470 4.13248i 0.729364 0.197683i
\(438\) 0.466089 + 0.900614i 0.0222706 + 0.0430330i
\(439\) 10.7732 12.8891i 0.514176 0.615163i −0.445839 0.895113i \(-0.647095\pi\)
0.960014 + 0.279950i \(0.0903180\pi\)
\(440\) 2.56165 0.631391i 0.122122 0.0301004i
\(441\) 2.41904 0.807595i 0.115192 0.0384569i
\(442\) 0.141432 0.415664i 0.00672725 0.0197711i
\(443\) 29.7928 + 5.54837i 1.41550 + 0.263611i 0.834820 0.550523i \(-0.185572\pi\)
0.580677 + 0.814134i \(0.302788\pi\)
\(444\) 14.0943 + 30.6075i 0.668884 + 1.45257i
\(445\) −20.0405 8.53845i −0.950009 0.404761i
\(446\) −1.47778 1.99031i −0.0699748 0.0942437i
\(447\) 16.3305 + 25.4987i 0.772408 + 1.20605i
\(448\) −3.85102 11.7601i −0.181944 0.555611i
\(449\) 28.8372 27.3812i 1.36091 1.29220i 0.442391 0.896822i \(-0.354130\pi\)
0.918519 0.395377i \(-0.129386\pi\)
\(450\) 0.108073 + 0.811869i 0.00509460 + 0.0382719i
\(451\) 0.356924 1.23224i 0.0168069 0.0580241i
\(452\) −0.0624156 10.8475i −0.00293578 0.510225i
\(453\) −30.7571 + 2.12703i −1.44509 + 0.0999367i
\(454\) −0.988297 + 1.54314i −0.0463831 + 0.0724231i
\(455\) 3.61421 + 0.935069i 0.169437 + 0.0438367i
\(456\) −3.76852 15.6771i −0.176477 0.734149i
\(457\) 0.284229 0.203521i 0.0132957 0.00952032i −0.575518 0.817789i \(-0.695200\pi\)
0.588814 + 0.808269i \(0.299595\pi\)
\(458\) −0.429301 4.96173i −0.0200599 0.231847i
\(459\) −3.83104 4.27454i −0.178818 0.199519i
\(460\) 7.28667 7.94436i 0.339743 0.370408i
\(461\) 3.23155 29.4419i 0.150508 1.37125i −0.644480 0.764621i \(-0.722926\pi\)
0.794989 0.606624i \(-0.207477\pi\)
\(462\) 1.84229 + 1.41785i 0.0857109 + 0.0659644i
\(463\) −17.2683 + 2.39989i −0.802526 + 0.111532i −0.527115 0.849794i \(-0.676726\pi\)
−0.275412 + 0.961326i \(0.588814\pi\)
\(464\) −13.9785 8.83948i −0.648936 0.410362i
\(465\) 16.1338 + 28.7024i 0.748188 + 1.33104i
\(466\) −2.42331 3.03874i −0.112258 0.140767i
\(467\) 8.94416 15.0881i 0.413886 0.698192i −0.579251 0.815150i \(-0.696655\pi\)
0.993137 + 0.116957i \(0.0373140\pi\)
\(468\) 1.20252 + 0.861057i 0.0555864 + 0.0398024i
\(469\) −2.36523 + 5.82838i −0.109216 + 0.269130i
\(470\) 2.71319 6.07510i 0.125150 0.280224i
\(471\) −0.479918 + 0.244878i −0.0221134 + 0.0112834i
\(472\) 1.38263 0.533482i 0.0636407 0.0245555i
\(473\) −2.46968 + 1.94636i −0.113556 + 0.0894938i
\(474\) 4.85118 4.19913i 0.222822 0.192873i
\(475\) −7.06925 3.71023i −0.324360 0.170237i
\(476\) 8.42643 1.66982i 0.386225 0.0765361i
\(477\) 4.18938 + 0.484239i 0.191818 + 0.0221718i
\(478\) −2.65920 + 5.44156i −0.121629 + 0.248891i
\(479\) −4.88312 + 25.4076i −0.223116 + 1.16090i 0.680563 + 0.732690i \(0.261735\pi\)
−0.903679 + 0.428211i \(0.859144\pi\)
\(480\) −12.0176 11.6768i −0.548528 0.532970i
\(481\) −5.23119 + 3.06050i −0.238522 + 0.139547i
\(482\) 2.98652 4.02232i 0.136032 0.183212i
\(483\) 19.8615 + 1.37354i 0.903728 + 0.0624981i
\(484\) −1.17673 + 18.5673i −0.0534879 + 0.843967i
\(485\) −0.0498742 0.0185873i −0.00226467 0.000844005i
\(486\) −4.48945 + 2.09871i −0.203646 + 0.0951993i
\(487\) −6.40200 5.80453i −0.290102 0.263028i 0.513640 0.858006i \(-0.328297\pi\)
−0.803743 + 0.594977i \(0.797161\pi\)
\(488\) −3.20640 + 1.36612i −0.145147 + 0.0618413i
\(489\) −24.7910 14.5039i −1.12109 0.655891i
\(490\) −0.434934 1.56891i −0.0196483 0.0708759i
\(491\) 2.40262 + 6.56197i 0.108429 + 0.296137i 0.981502 0.191452i \(-0.0613196\pi\)
−0.873073 + 0.487589i \(0.837876\pi\)
\(492\) −5.14745 + 1.45893i −0.232065 + 0.0657735i
\(493\) 5.47225 6.70229i 0.246458 0.301856i
\(494\) 1.30728 0.453220i 0.0588173 0.0203913i
\(495\) −1.95547 0.340937i −0.0878919 0.0153240i
\(496\) 24.0789 + 9.93326i 1.08118 + 0.446016i
\(497\) 24.7773 + 37.7246i 1.11142 + 1.69218i
\(498\) 10.7001 10.3967i 0.479485 0.465885i
\(499\) −9.13179 + 32.9404i −0.408795 + 1.47462i 0.416094 + 0.909322i \(0.363399\pi\)
−0.824889 + 0.565295i \(0.808762\pi\)
\(500\) −22.1383 + 1.78719i −0.990053 + 0.0799253i
\(501\) 5.56432 + 1.37148i 0.248596 + 0.0612733i
\(502\) −3.60969 + 2.64806i −0.161108 + 0.118189i
\(503\) 22.9086 + 24.9763i 1.02144 + 1.11364i 0.993477 + 0.114029i \(0.0363758\pi\)
0.0279668 + 0.999609i \(0.491097\pi\)
\(504\) 0.568439 5.79282i 0.0253203 0.258033i
\(505\) 16.0682 2.42189i 0.715024 0.107773i
\(506\) 0.603687 + 1.04562i 0.0268371 + 0.0464833i
\(507\) 12.8635 22.2802i 0.571287 0.989498i
\(508\) −11.7977 + 30.0602i −0.523440 + 1.33370i
\(509\) −11.5870 + 6.08130i −0.513583 + 0.269549i −0.701542 0.712628i \(-0.747505\pi\)
0.187960 + 0.982177i \(0.439813\pi\)
\(510\) 1.91250 1.54325i 0.0846870 0.0683364i
\(511\) −3.17859 1.62188i −0.140613 0.0717477i
\(512\) −22.6730 2.35665i −1.00201 0.104150i
\(513\) 3.20935 17.8015i 0.141696 0.785957i
\(514\) −2.35357 + 1.41355i −0.103812 + 0.0623492i
\(515\) 6.09834 + 0.351276i 0.268725 + 0.0154791i
\(516\) 12.3400 + 4.43785i 0.543237 + 0.195365i
\(517\) −5.81205 5.14903i −0.255614 0.226454i
\(518\) 9.88784 + 5.63314i 0.434447 + 0.247506i
\(519\) −6.17265 16.2759i −0.270949 0.714434i
\(520\) 1.23387 1.54723i 0.0541089 0.0678505i
\(521\) −4.94690 0.803949i −0.216727 0.0352216i 0.0510779 0.998695i \(-0.483734\pi\)
−0.267805 + 0.963473i \(0.586298\pi\)
\(522\) −1.56239 2.32017i −0.0683838 0.101551i
\(523\) 10.1498 38.3204i 0.443821 1.67563i −0.260280 0.965533i \(-0.583815\pi\)
0.704102 0.710099i \(-0.251350\pi\)
\(524\) −14.0166 3.28416i −0.612317 0.143469i
\(525\) −6.88609 7.33633i −0.300534 0.320184i
\(526\) −3.19204 + 0.518756i −0.139179 + 0.0226189i
\(527\) −6.67724 + 11.8789i −0.290865 + 0.517455i
\(528\) −4.82446 + 2.60331i −0.209958 + 0.113295i
\(529\) −11.3423 5.62388i −0.493146 0.244517i
\(530\) 0.447152 2.65487i 0.0194230 0.115320i
\(531\) −1.11381 0.0513054i −0.0483350 0.00222647i
\(532\) 20.4676 + 17.7165i 0.887383 + 0.768109i
\(533\) −0.351563 0.895769i −0.0152279 0.0388001i
\(534\) −10.0613 1.51650i −0.435395 0.0656252i
\(535\) 1.73493 6.86854i 0.0750074 0.296953i
\(536\) 2.30978 + 2.40474i 0.0997674 + 0.103869i
\(537\) 12.1453 22.2010i 0.524107 0.958042i
\(538\) −6.65152 3.20320i −0.286767 0.138100i
\(539\) −1.89889 0.0655816i −0.0817912 0.00282480i
\(540\) −4.64157 11.4377i −0.199741 0.492202i
\(541\) −7.41530 + 30.8479i −0.318809 + 1.32625i 0.551676 + 0.834058i \(0.313988\pi\)
−0.870485 + 0.492195i \(0.836195\pi\)
\(542\) −2.18350 + 4.10277i −0.0937893 + 0.176229i
\(543\) 33.6694 + 0.775049i 1.44489 + 0.0332606i
\(544\) 1.54314 6.76096i 0.0661618 0.289874i
\(545\) 20.1560 + 0.231959i 0.863390 + 0.00993604i
\(546\) 1.74375 0.0746257
\(547\) 15.1740 + 17.7975i 0.648792 + 0.760966i
\(548\) 5.73171 0.244846
\(549\) 2.62203 + 0.0301748i 0.111905 + 0.00128783i
\(550\) 0.135782 0.594898i 0.00578975 0.0253666i
\(551\) 27.2592 + 0.627490i 1.16128 + 0.0267320i
\(552\) 4.95825 9.31649i 0.211037 0.396536i
\(553\) −5.27704 + 21.9526i −0.224403 + 0.933521i
\(554\) 1.66519 + 4.10335i 0.0707471 + 0.174335i
\(555\) −33.9021 1.17087i −1.43906 0.0497005i
\(556\) 28.6062 + 13.7760i 1.21318 + 0.584234i
\(557\) −10.2980 + 18.8242i −0.436338 + 0.797605i −0.999589 0.0286810i \(-0.990869\pi\)
0.563250 + 0.826286i \(0.309551\pi\)
\(558\) 3.05168 + 3.17713i 0.129188 + 0.134499i
\(559\) −0.577625 + 2.28681i −0.0244309 + 0.0967218i
\(560\) 16.3452 + 2.46364i 0.690711 + 0.104108i
\(561\) −1.04779 2.66974i −0.0442379 0.112716i
\(562\) −5.14859 4.45657i −0.217180 0.187989i
\(563\) −31.2335 1.43871i −1.31633 0.0606345i −0.623552 0.781782i \(-0.714311\pi\)
−0.692782 + 0.721147i \(0.743615\pi\)
\(564\) −5.37834 + 31.9327i −0.226469 + 1.34461i
\(565\) 9.78370 + 4.85106i 0.411603 + 0.204085i
\(566\) 5.38236 2.90436i 0.226237 0.122080i
\(567\) 16.5159 29.3822i 0.693604 1.23393i
\(568\) 23.6157 3.83792i 0.990891 0.161036i
\(569\) −11.1508 11.8799i −0.467465 0.498030i 0.451553 0.892244i \(-0.350870\pi\)
−0.919018 + 0.394215i \(0.871017\pi\)
\(570\) 7.54001 + 1.76666i 0.315816 + 0.0739974i
\(571\) 6.59454 24.8974i 0.275973 1.04193i −0.676287 0.736638i \(-0.736412\pi\)
0.952260 0.305287i \(-0.0987526\pi\)
\(572\) −0.615472 0.913986i −0.0257342 0.0382157i
\(573\) −13.5912 2.20878i −0.567779 0.0922731i
\(574\) −1.12655 + 1.41265i −0.0470212 + 0.0589627i
\(575\) −1.85307 4.88614i −0.0772784 0.203766i
\(576\) 4.28823 + 2.44302i 0.178676 + 0.101793i
\(577\) 9.62487 + 8.52689i 0.400689 + 0.354979i 0.839272 0.543711i \(-0.182981\pi\)
−0.438584 + 0.898690i \(0.644520\pi\)
\(578\) −5.73749 2.06339i −0.238648 0.0858256i
\(579\) 18.5982 + 1.07129i 0.772915 + 0.0445214i
\(580\) 15.9509 9.58009i 0.662324 0.397791i
\(581\) −9.31477 + 51.6669i −0.386442 + 2.14351i
\(582\) −0.0247278 0.00257023i −0.00102500 0.000106540i
\(583\) −2.79869 1.42803i −0.115910 0.0591431i
\(584\) −1.47214 + 1.18791i −0.0609175 + 0.0491562i
\(585\) −1.31836 + 0.691930i −0.0545076 + 0.0286078i
\(586\) −3.52973 + 8.99361i −0.145812 + 0.371522i
\(587\) 15.3298 26.5520i 0.632728 1.09592i −0.354263 0.935146i \(-0.615268\pi\)
0.986992 0.160772i \(-0.0513984\pi\)
\(588\) 3.96195 + 6.86229i 0.163388 + 0.282996i
\(589\) −42.4626 + 6.40020i −1.74964 + 0.263716i
\(590\) −0.0695134 + 0.708393i −0.00286182 + 0.0291641i
\(591\) 0.328796 + 0.358473i 0.0135249 + 0.0147456i
\(592\) −21.6375 + 15.8732i −0.889294 + 0.652385i
\(593\) 26.0523 + 6.42132i 1.06984 + 0.263692i 0.734641 0.678456i \(-0.237350\pi\)
0.335199 + 0.942148i \(0.391197\pi\)
\(594\) 1.37802 0.111245i 0.0565409 0.00456446i
\(595\) −2.31022 + 8.33349i −0.0947098 + 0.341640i
\(596\) −19.3278 + 18.7796i −0.791697 + 0.769242i
\(597\) 25.9207 + 39.4655i 1.06086 + 1.61522i
\(598\) 0.837200 + 0.345370i 0.0342357 + 0.0141232i
\(599\) −40.7178 7.09915i −1.66368 0.290064i −0.739826 0.672798i \(-0.765092\pi\)
−0.923858 + 0.382734i \(0.874982\pi\)
\(600\) −5.03951 + 1.74714i −0.205737 + 0.0713268i
\(601\) 30.7218 37.6273i 1.25317 1.53485i 0.521364 0.853335i \(-0.325424\pi\)
0.731803 0.681516i \(-0.238679\pi\)
\(602\) 4.26086 1.20764i 0.173660 0.0492199i
\(603\) −0.862523 2.35569i −0.0351247 0.0959313i
\(604\) −7.33018 26.4416i −0.298261 1.07589i
\(605\) −16.1657 9.45770i −0.657229 0.384510i
\(606\) 6.98271 2.97506i 0.283653 0.120853i
\(607\) 28.7462 + 26.0635i 1.16677 + 1.05788i 0.997380 + 0.0723354i \(0.0230452\pi\)
0.169393 + 0.985549i \(0.445819\pi\)
\(608\) 19.7971 9.25466i 0.802878 0.375326i
\(609\) 32.2000 + 12.0004i 1.30481 + 0.486280i
\(610\) 0.105879 1.67063i 0.00428693 0.0676420i
\(611\) −5.81044 0.401827i −0.235065 0.0162562i
\(612\) −2.04238 + 2.75072i −0.0825581 + 0.111191i
\(613\) 8.03765 4.70241i 0.324638 0.189928i −0.333646 0.942698i \(-0.608279\pi\)
0.658284 + 0.752770i \(0.271283\pi\)
\(614\) −6.32377 6.14441i −0.255207 0.247968i
\(615\) 1.01654 5.28922i 0.0409910 0.213282i
\(616\) −1.90399 + 3.89618i −0.0767141 + 0.156981i
\(617\) −35.9099 4.15073i −1.44568 0.167102i −0.644077 0.764961i \(-0.722758\pi\)
−0.801602 + 0.597858i \(0.796019\pi\)
\(618\) 2.79878 0.554619i 0.112583 0.0223101i
\(619\) −17.2395 9.04800i −0.692915 0.363670i 0.0812148 0.996697i \(-0.474120\pi\)
−0.774130 + 0.633027i \(0.781812\pi\)
\(620\) −22.1564 + 19.1784i −0.889824 + 0.770223i
\(621\) 9.29903 7.32860i 0.373157 0.294086i
\(622\) −7.54364 + 2.91068i −0.302472 + 0.116708i
\(623\) 31.8931 16.2735i 1.27777 0.651983i
\(624\) −1.67683 + 3.75459i −0.0671270 + 0.150304i
\(625\) 5.35213 13.1887i 0.214085 0.527548i
\(626\) 2.74138 + 1.96295i 0.109567 + 0.0784553i
\(627\) 4.60867 7.77444i 0.184052 0.310481i
\(628\) −0.298970 0.374897i −0.0119302 0.0149600i
\(629\) −6.87926 12.2383i −0.274294 0.487975i
\(630\) 2.36286 + 1.49418i 0.0941385 + 0.0595296i
\(631\) 14.1011 1.95972i 0.561357 0.0780154i 0.148667 0.988887i \(-0.452502\pi\)
0.412689 + 0.910872i \(0.364590\pi\)
\(632\) 9.48484 + 7.29968i 0.377287 + 0.290366i
\(633\) 1.98792 18.1114i 0.0790126 0.719864i
\(634\) −0.317660 + 0.346332i −0.0126159 + 0.0137546i
\(635\) −21.6968 24.2086i −0.861012 0.960688i
\(636\) 1.12951 + 13.0545i 0.0447880 + 0.517646i
\(637\) −1.15876 + 0.829726i −0.0459118 + 0.0328750i
\(638\) 0.487076 + 2.02625i 0.0192835 + 0.0802200i
\(639\) −17.4268 4.50867i −0.689395 0.178360i
\(640\) 10.5139 16.4165i 0.415598 0.648920i
\(641\) −27.7827 + 1.92134i −1.09735 + 0.0758883i −0.606295 0.795240i \(-0.707345\pi\)
−0.491056 + 0.871128i \(0.663389\pi\)
\(642\) −0.0190393 3.30895i −0.000751422 0.130594i
\(643\) 7.31356 25.2494i 0.288419 0.995737i −0.677205 0.735794i \(-0.736809\pi\)
0.965624 0.259943i \(-0.0837038\pi\)
\(644\) 2.33803 + 17.5638i 0.0921311 + 0.692111i
\(645\) −9.57341 + 9.09006i −0.376953 + 0.357921i
\(646\) 0.997433 + 3.04591i 0.0392435 + 0.119840i
\(647\) −0.668352 1.04357i −0.0262756 0.0410271i 0.828713 0.559674i \(-0.189073\pi\)
−0.854989 + 0.518646i \(0.826436\pi\)
\(648\) −10.6514 14.3456i −0.418427 0.563548i
\(649\) 0.764219 + 0.325603i 0.0299982 + 0.0127811i
\(650\) −0.191443 0.415743i −0.00750900 0.0163068i
\(651\) −53.2048 9.90842i −2.08526 0.388342i
\(652\) 8.23418 24.1999i 0.322475 0.947741i
\(653\) 19.9978 6.67624i 0.782574 0.261262i 0.102818 0.994700i \(-0.467214\pi\)
0.679756 + 0.733439i \(0.262086\pi\)
\(654\) 9.14174 2.25324i 0.357470 0.0881086i
\(655\) 9.29432 11.1198i 0.363159 0.434486i
\(656\) −1.95835 3.78408i −0.0764607 0.147743i
\(657\) 1.37364 0.372305i 0.0535909 0.0145250i
\(658\) 4.80159 + 9.82557i 0.187185 + 0.383041i
\(659\) 9.53829 + 27.0094i 0.371559 + 1.05214i 0.968319 + 0.249716i \(0.0803372\pi\)
−0.596760 + 0.802420i \(0.703546\pi\)
\(660\) −0.177407 6.16487i −0.00690556 0.239967i
\(661\) −9.47167 35.7600i −0.368405 1.39090i −0.855614 0.517615i \(-0.826820\pi\)
0.487208 0.873286i \(-0.338015\pi\)
\(662\) 4.29318 4.90254i 0.166859 0.190543i
\(663\) −1.84420 1.10762i −0.0716227 0.0430166i
\(664\) 22.9944 + 15.6773i 0.892356 + 0.608398i
\(665\) −25.1920 + 10.3924i −0.976905 + 0.403002i
\(666\) −4.43055 + 0.984459i −0.171680 + 0.0381470i
\(667\) 13.0829 + 12.1391i 0.506571 + 0.470029i
\(668\) −0.205372 + 5.09626i −0.00794610 + 0.197180i
\(669\) −11.0614 + 5.01665i −0.427658 + 0.193955i
\(670\) −1.53034 + 0.472046i −0.0591220 + 0.0182367i
\(671\) −1.82263 0.703256i −0.0703620 0.0271489i
\(672\) 27.3941 2.84736i 1.05675 0.109839i
\(673\) 0.632735 8.44326i 0.0243901 0.325464i −0.971641 0.236460i \(-0.924013\pi\)
0.996031 0.0890036i \(-0.0283683\pi\)
\(674\) −1.93877 + 5.29509i −0.0746785 + 0.203959i
\(675\) −5.96433 0.481491i −0.229567 0.0185326i
\(676\) 21.7184 + 7.25067i 0.835323 + 0.278872i
\(677\) −11.4528 + 15.0597i −0.440166 + 0.578790i −0.961584 0.274511i \(-0.911484\pi\)
0.521418 + 0.853302i \(0.325403\pi\)
\(678\) 4.99175 + 1.04903i 0.191707 + 0.0402877i
\(679\) 0.0760143 0.0433056i 0.00291716 0.00166192i
\(680\) 3.53420 + 2.91964i 0.135530 + 0.111963i
\(681\) 6.36697 + 6.33044i 0.243983 + 0.242583i
\(682\) −1.30381 3.01199i −0.0499257 0.115335i
\(683\) −1.81261 + 8.87873i −0.0693575 + 0.339735i −0.999632 0.0271289i \(-0.991364\pi\)
0.930274 + 0.366864i \(0.119569\pi\)
\(684\) −10.7935 + 0.248460i −0.412700 + 0.00950010i
\(685\) −2.59290 + 5.15467i −0.0990696 + 0.196950i
\(686\) −5.61869 2.54823i −0.214523 0.0972919i
\(687\) −24.2061 3.08059i −0.923522 0.117532i
\(688\) −1.49708 + 10.3356i −0.0570756 + 0.394042i
\(689\) −2.31693 + 0.431486i −0.0882679 + 0.0164383i
\(690\) 2.92731 + 4.13825i 0.111441 + 0.157541i
\(691\) −21.1328 11.4034i −0.803929 0.433806i 0.0204875 0.999790i \(-0.493478\pi\)
−0.824416 + 0.565984i \(0.808496\pi\)
\(692\) 13.0938 8.28003i 0.497753 0.314760i
\(693\) 2.49126 2.10675i 0.0946350 0.0800288i
\(694\) 2.80211 + 4.60528i 0.106367 + 0.174814i
\(695\) −25.3300 + 19.4943i −0.960822 + 0.739463i
\(696\) 12.7691 12.9914i 0.484011 0.492439i
\(697\) 2.08875 0.778440i 0.0791170 0.0294855i
\(698\) −3.92619 12.9934i −0.148608 0.491806i
\(699\) −17.0612 + 8.45945i −0.645312 + 0.319966i
\(700\) 5.17144 7.31072i 0.195462 0.276319i
\(701\) −9.40445 + 20.4230i −0.355201 + 0.771366i 0.644774 + 0.764373i \(0.276951\pi\)
−0.999976 + 0.00699328i \(0.997774\pi\)
\(702\) 0.768245 0.696548i 0.0289955 0.0262895i
\(703\) 17.1067 40.8003i 0.645191 1.53881i
\(704\) −2.35808 2.82122i −0.0888734 0.106329i
\(705\) −26.2849 19.2826i −0.989946 0.726223i
\(706\) 0.235043 + 2.14142i 0.00884597 + 0.0805934i
\(707\) −13.8833 + 22.8172i −0.522135 + 0.858131i
\(708\) −0.536033 3.42261i −0.0201454 0.128629i
\(709\) −21.1621 27.1720i −0.794757 1.02047i −0.999135 0.0415746i \(-0.986763\pi\)
0.204378 0.978892i \(-0.434483\pi\)
\(710\) −3.45028 + 10.9612i −0.129487 + 0.411367i
\(711\) −4.32170 7.89987i −0.162077 0.296268i
\(712\) −0.982444 18.9548i −0.0368186 0.710362i
\(713\) −23.5819 15.2950i −0.883149 0.572801i
\(714\) −0.0697210 + 4.03870i −0.00260924 + 0.151145i
\(715\) 1.10040 0.140042i 0.0411525 0.00523727i
\(716\) 21.5214 + 6.63848i 0.804294 + 0.248092i
\(717\) 23.3067 + 18.3681i 0.870406 + 0.685970i
\(718\) 9.58435 0.441486i 0.357685 0.0164761i
\(719\) −2.52362 + 20.7839i −0.0941153 + 0.775109i 0.866875 + 0.498526i \(0.166125\pi\)
−0.960990 + 0.276583i \(0.910798\pi\)
\(720\) −5.48940 + 3.65079i −0.204578 + 0.136057i
\(721\) −6.87134 + 7.32061i −0.255902 + 0.272634i
\(722\) −1.20018 + 1.78228i −0.0446659 + 0.0663297i
\(723\) −16.1712 18.4664i −0.601412 0.686775i
\(724\) 5.31801 + 29.4978i 0.197642 + 1.09628i
\(725\) −0.674051 8.99458i −0.0250336 0.334050i
\(726\) −8.41665 2.38551i −0.312371 0.0885345i
\(727\) −8.97635 + 6.27248i −0.332914 + 0.232634i −0.727313 0.686306i \(-0.759231\pi\)
0.394399 + 0.918939i \(0.370953\pi\)
\(728\) 0.650640 + 3.18705i 0.0241143 + 0.118120i
\(729\) −2.04859 8.97547i −0.0758738 0.332425i
\(730\) −0.191967 0.888045i −0.00710500 0.0328680i
\(731\) −5.27339 1.42927i −0.195043 0.0528636i
\(732\) 1.53771 + 8.00090i 0.0568353 + 0.295722i
\(733\) 15.1918 23.1302i 0.561121 0.854332i −0.437880 0.899034i \(-0.644270\pi\)
0.999000 + 0.0447017i \(0.0142337\pi\)
\(734\) 5.13794 3.50299i 0.189645 0.129298i
\(735\) −7.96373 + 0.458726i −0.293747 + 0.0169204i
\(736\) 13.7162 + 4.05864i 0.505587 + 0.149603i
\(737\) −0.0107538 + 1.86896i −0.000396122 + 0.0688441i
\(738\) −0.0455791 0.719176i −0.00167779 0.0264732i
\(739\) −6.93878 + 22.9632i −0.255247 + 0.844717i 0.731415 + 0.681933i \(0.238860\pi\)
−0.986662 + 0.162784i \(0.947953\pi\)
\(740\) −5.01428 29.7712i −0.184328 1.09441i
\(741\) −0.817138 6.72974i −0.0300183 0.247223i
\(742\) 2.87683 + 3.36245i 0.105612 + 0.123439i
\(743\) −14.9757 + 13.8954i −0.549406 + 0.509774i −0.905312 0.424747i \(-0.860363\pi\)
0.355906 + 0.934522i \(0.384172\pi\)
\(744\) −16.2971 + 23.6104i −0.597481 + 0.865600i
\(745\) −8.14549 25.8775i −0.298428 0.948077i
\(746\) −2.78431 + 2.89877i −0.101941 + 0.106132i
\(747\) −11.0889 17.7610i −0.405720 0.649842i
\(748\) 2.14149 1.38895i 0.0783007 0.0507851i