Properties

Label 171.2.x.a.110.9
Level $171$
Weight $2$
Character 171.110
Analytic conductor $1.365$
Analytic rank $0$
Dimension $108$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 171 = 3^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 171.x (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.36544187456\)
Analytic rank: \(0\)
Dimension: \(108\)
Relative dimension: \(18\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 110.9
Character \(\chi\) \(=\) 171.110
Dual form 171.2.x.a.14.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.247109 + 0.207349i) q^{2} +(0.668060 + 1.59803i) q^{3} +(-0.329227 + 1.86714i) q^{4} +(-0.0294890 + 0.0810203i) q^{5} +(-0.496432 - 0.256365i) q^{6} +(-0.0754752 - 0.130727i) q^{7} +(-0.628371 - 1.08837i) q^{8} +(-2.10739 + 2.13516i) q^{9} +O(q^{10})\) \(q+(-0.247109 + 0.207349i) q^{2} +(0.668060 + 1.59803i) q^{3} +(-0.329227 + 1.86714i) q^{4} +(-0.0294890 + 0.0810203i) q^{5} +(-0.496432 - 0.256365i) q^{6} +(-0.0754752 - 0.130727i) q^{7} +(-0.628371 - 1.08837i) q^{8} +(-2.10739 + 2.13516i) q^{9} +(-0.00951247 - 0.0261353i) q^{10} -1.72768i q^{11} +(-3.20369 + 0.721248i) q^{12} +(0.805863 + 2.21409i) q^{13} +(0.0457566 + 0.0166540i) q^{14} +(-0.149173 + 0.00700221i) q^{15} +(-3.18226 - 1.15825i) q^{16} +(0.788265 - 2.16574i) q^{17} +(0.0780319 - 0.964581i) q^{18} +(3.17839 + 2.98293i) q^{19} +(-0.141568 - 0.0817341i) q^{20} +(0.158483 - 0.207945i) q^{21} +(0.358233 + 0.426925i) q^{22} +(5.13795 + 0.905959i) q^{23} +(1.31946 - 1.73125i) q^{24} +(3.82453 + 3.20916i) q^{25} +(-0.658225 - 0.380026i) q^{26} +(-4.81991 - 1.94126i) q^{27} +(0.268934 - 0.0978839i) q^{28} +(0.930382 - 5.27646i) q^{29} +(0.0354100 - 0.0326611i) q^{30} -0.157915i q^{31} +(3.38843 - 1.23329i) q^{32} +(2.76089 - 1.15420i) q^{33} +(0.254276 + 0.698619i) q^{34} +(0.0128172 - 0.00226002i) q^{35} +(-3.29283 - 4.63775i) q^{36} +1.03696i q^{37} +(-1.40391 - 0.0780729i) q^{38} +(-2.99982 + 2.76694i) q^{39} +(0.106710 - 0.0188159i) q^{40} +(3.23970 - 2.71843i) q^{41} +(0.00395453 + 0.0842463i) q^{42} +(-0.868665 - 4.92644i) q^{43} +(3.22582 + 0.568800i) q^{44} +(-0.110846 - 0.233705i) q^{45} +(-1.45748 + 0.841477i) q^{46} +(-11.1068 - 1.95842i) q^{47} +(-0.275028 - 5.85912i) q^{48} +(3.48861 - 6.04244i) q^{49} -1.61049 q^{50} +(3.98752 - 0.187175i) q^{51} +(-4.39933 + 0.775721i) q^{52} +(3.60211 + 3.02253i) q^{53} +(1.59356 - 0.519701i) q^{54} +(0.139977 + 0.0509475i) q^{55} +(-0.0948529 + 0.164290i) q^{56} +(-2.64345 + 7.07193i) q^{57} +(0.864161 + 1.49677i) q^{58} +(-0.485489 - 2.75335i) q^{59} +(0.0360377 - 0.280832i) q^{60} +(5.10362 - 1.85757i) q^{61} +(0.0327436 + 0.0390223i) q^{62} +(0.438178 + 0.114341i) q^{63} +(2.80490 - 4.85823i) q^{64} -0.203150 q^{65} +(-0.442917 + 0.857677i) q^{66} +(1.30076 - 1.55018i) q^{67} +(3.78422 + 2.18482i) q^{68} +(1.98471 + 8.81582i) q^{69} +(-0.00269863 + 0.00321610i) q^{70} +(-10.6749 + 8.95732i) q^{71} +(3.64807 + 0.951951i) q^{72} +(-0.405662 - 2.30062i) q^{73} +(-0.215012 - 0.256241i) q^{74} +(-2.57331 + 8.25562i) q^{75} +(-6.61596 + 4.95243i) q^{76} +(-0.225854 + 0.130397i) q^{77} +(0.167559 - 1.30574i) q^{78} +(-1.22472 + 3.36489i) q^{79} +(0.187683 - 0.223672i) q^{80} +(-0.117807 - 8.99923i) q^{81} +(-0.236895 + 1.34350i) q^{82} +(-3.67729 + 2.12308i) q^{83} +(0.336085 + 0.364372i) q^{84} +(0.152224 + 0.127731i) q^{85} +(1.23615 + 1.03725i) q^{86} +(9.05348 - 2.03822i) q^{87} +(-1.88036 + 1.08563i) q^{88} +(-2.82275 + 16.0086i) q^{89} +(0.0758495 + 0.0347666i) q^{90} +(0.228619 - 0.272457i) q^{91} +(-3.38311 + 9.29500i) q^{92} +(0.252353 - 0.105497i) q^{93} +(3.15065 - 1.81903i) q^{94} +(-0.335405 + 0.169550i) q^{95} +(4.23450 + 4.59090i) q^{96} +(1.33420 + 1.59003i) q^{97} +(0.390828 + 2.21650i) q^{98} +(3.68888 + 3.64090i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 108 q - 9 q^{2} - 3 q^{4} - 9 q^{5} + 3 q^{7} - 24 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 108 q - 9 q^{2} - 3 q^{4} - 9 q^{5} + 3 q^{7} - 24 q^{9} - 12 q^{10} - 9 q^{12} - 6 q^{13} - 9 q^{14} - 36 q^{15} - 9 q^{16} + 27 q^{17} + 36 q^{18} - 15 q^{19} - 18 q^{20} + 3 q^{21} + 30 q^{22} - 45 q^{23} - 21 q^{24} - 3 q^{25} - 72 q^{26} - 36 q^{28} - 9 q^{29} - 21 q^{30} - 9 q^{32} - 6 q^{33} + 33 q^{34} + 45 q^{35} + 18 q^{36} - 9 q^{38} - 18 q^{39} + 15 q^{40} - 9 q^{41} + 15 q^{42} + 9 q^{43} - 63 q^{44} + 33 q^{45} - 18 q^{46} - 9 q^{47} + 3 q^{48} - 15 q^{49} + 126 q^{50} + 39 q^{51} - 39 q^{52} - 51 q^{54} + 3 q^{55} + 63 q^{56} - 78 q^{57} - 6 q^{58} + 36 q^{59} - 75 q^{60} - 24 q^{61} + 18 q^{62} - 9 q^{63} - 18 q^{65} + 159 q^{66} - 63 q^{67} + 54 q^{68} - 9 q^{69} + 39 q^{70} + 141 q^{72} - 45 q^{73} - 117 q^{74} - 3 q^{76} - 18 q^{77} + 27 q^{78} + 3 q^{79} + 126 q^{80} - 60 q^{81} - 3 q^{82} + 27 q^{83} - 117 q^{84} - 3 q^{85} - 171 q^{86} + 15 q^{87} - 9 q^{88} + 54 q^{89} - 21 q^{90} - 9 q^{91} - 27 q^{92} + 42 q^{93} + 99 q^{95} + 207 q^{96} - 57 q^{97} - 27 q^{98} + 39 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/171\mathbb{Z}\right)^\times\).

\(n\) \(20\) \(154\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{11}{18}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.247109 + 0.207349i −0.174732 + 0.146618i −0.725960 0.687737i \(-0.758604\pi\)
0.551228 + 0.834355i \(0.314160\pi\)
\(3\) 0.668060 + 1.59803i 0.385705 + 0.922622i
\(4\) −0.329227 + 1.86714i −0.164614 + 0.933570i
\(5\) −0.0294890 + 0.0810203i −0.0131879 + 0.0362334i −0.946112 0.323840i \(-0.895026\pi\)
0.932924 + 0.360073i \(0.117248\pi\)
\(6\) −0.496432 0.256365i −0.202668 0.104661i
\(7\) −0.0754752 0.130727i −0.0285269 0.0494101i 0.851409 0.524502i \(-0.175748\pi\)
−0.879936 + 0.475091i \(0.842415\pi\)
\(8\) −0.628371 1.08837i −0.222163 0.384797i
\(9\) −2.10739 + 2.13516i −0.702464 + 0.711720i
\(10\) −0.00951247 0.0261353i −0.00300811 0.00826471i
\(11\) 1.72768i 0.520916i −0.965485 0.260458i \(-0.916126\pi\)
0.965485 0.260458i \(-0.0838735\pi\)
\(12\) −3.20369 + 0.721248i −0.924825 + 0.208206i
\(13\) 0.805863 + 2.21409i 0.223506 + 0.614078i 0.999869 0.0162084i \(-0.00515951\pi\)
−0.776362 + 0.630287i \(0.782937\pi\)
\(14\) 0.0457566 + 0.0166540i 0.0122290 + 0.00445098i
\(15\) −0.149173 + 0.00700221i −0.0385163 + 0.00180796i
\(16\) −3.18226 1.15825i −0.795565 0.289562i
\(17\) 0.788265 2.16574i 0.191182 0.525269i −0.806653 0.591025i \(-0.798724\pi\)
0.997836 + 0.0657556i \(0.0209458\pi\)
\(18\) 0.0780319 0.964581i 0.0183923 0.227354i
\(19\) 3.17839 + 2.98293i 0.729172 + 0.684331i
\(20\) −0.141568 0.0817341i −0.0316555 0.0182763i
\(21\) 0.158483 0.207945i 0.0345839 0.0453773i
\(22\) 0.358233 + 0.426925i 0.0763754 + 0.0910207i
\(23\) 5.13795 + 0.905959i 1.07134 + 0.188906i 0.681381 0.731928i \(-0.261379\pi\)
0.389955 + 0.920834i \(0.372491\pi\)
\(24\) 1.31946 1.73125i 0.269333 0.353391i
\(25\) 3.82453 + 3.20916i 0.764906 + 0.641832i
\(26\) −0.658225 0.380026i −0.129088 0.0745293i
\(27\) −4.81991 1.94126i −0.927592 0.373595i
\(28\) 0.268934 0.0978839i 0.0508237 0.0184983i
\(29\) 0.930382 5.27646i 0.172768 0.979814i −0.767922 0.640544i \(-0.778709\pi\)
0.940689 0.339270i \(-0.110180\pi\)
\(30\) 0.0354100 0.0326611i 0.00646496 0.00596308i
\(31\) 0.157915i 0.0283625i −0.999899 0.0141812i \(-0.995486\pi\)
0.999899 0.0141812i \(-0.00451418\pi\)
\(32\) 3.38843 1.23329i 0.598995 0.218016i
\(33\) 2.76089 1.15420i 0.480608 0.200920i
\(34\) 0.254276 + 0.698619i 0.0436080 + 0.119812i
\(35\) 0.0128172 0.00226002i 0.00216650 0.000382013i
\(36\) −3.29283 4.63775i −0.548805 0.772958i
\(37\) 1.03696i 0.170475i 0.996361 + 0.0852374i \(0.0271649\pi\)
−0.996361 + 0.0852374i \(0.972835\pi\)
\(38\) −1.40391 0.0780729i −0.227745 0.0126651i
\(39\) −2.99982 + 2.76694i −0.480355 + 0.443065i
\(40\) 0.106710 0.0188159i 0.0168724 0.00297505i
\(41\) 3.23970 2.71843i 0.505957 0.424548i −0.353747 0.935341i \(-0.615093\pi\)
0.859704 + 0.510793i \(0.170648\pi\)
\(42\) 0.00395453 + 0.0842463i 0.000610198 + 0.0129995i
\(43\) −0.868665 4.92644i −0.132470 0.751276i −0.976588 0.215118i \(-0.930986\pi\)
0.844118 0.536158i \(-0.180125\pi\)
\(44\) 3.22582 + 0.568800i 0.486311 + 0.0857498i
\(45\) −0.110846 0.233705i −0.0165240 0.0348387i
\(46\) −1.45748 + 0.841477i −0.214894 + 0.124069i
\(47\) −11.1068 1.95842i −1.62009 0.285665i −0.711290 0.702899i \(-0.751889\pi\)
−0.908799 + 0.417233i \(0.863000\pi\)
\(48\) −0.275028 5.85912i −0.0396969 0.845692i
\(49\) 3.48861 6.04244i 0.498372 0.863206i
\(50\) −1.61049 −0.227757
\(51\) 3.98752 0.187175i 0.558365 0.0262098i
\(52\) −4.39933 + 0.775721i −0.610078 + 0.107573i
\(53\) 3.60211 + 3.02253i 0.494788 + 0.415176i 0.855738 0.517409i \(-0.173103\pi\)
−0.360951 + 0.932585i \(0.617548\pi\)
\(54\) 1.59356 0.519701i 0.216856 0.0707223i
\(55\) 0.139977 + 0.0509475i 0.0188745 + 0.00686977i
\(56\) −0.0948529 + 0.164290i −0.0126753 + 0.0219542i
\(57\) −2.64345 + 7.07193i −0.350134 + 0.936700i
\(58\) 0.864161 + 1.49677i 0.113470 + 0.196536i
\(59\) −0.485489 2.75335i −0.0632053 0.358455i −0.999964 0.00847925i \(-0.997301\pi\)
0.936759 0.349976i \(-0.113810\pi\)
\(60\) 0.0360377 0.280832i 0.00465245 0.0362553i
\(61\) 5.10362 1.85757i 0.653452 0.237837i 0.00604535 0.999982i \(-0.498076\pi\)
0.647407 + 0.762145i \(0.275853\pi\)
\(62\) 0.0327436 + 0.0390223i 0.00415844 + 0.00495583i
\(63\) 0.438178 + 0.114341i 0.0552053 + 0.0144056i
\(64\) 2.80490 4.85823i 0.350613 0.607279i
\(65\) −0.203150 −0.0251977
\(66\) −0.442917 + 0.857677i −0.0545193 + 0.105573i
\(67\) 1.30076 1.55018i 0.158913 0.189385i −0.680713 0.732550i \(-0.738330\pi\)
0.839626 + 0.543165i \(0.182774\pi\)
\(68\) 3.78422 + 2.18482i 0.458904 + 0.264949i
\(69\) 1.98471 + 8.81582i 0.238931 + 1.06130i
\(70\) −0.00269863 + 0.00321610i −0.000322548 + 0.000384398i
\(71\) −10.6749 + 8.95732i −1.26688 + 1.06304i −0.271966 + 0.962307i \(0.587674\pi\)
−0.994914 + 0.100731i \(0.967882\pi\)
\(72\) 3.64807 + 0.951951i 0.429929 + 0.112188i
\(73\) −0.405662 2.30062i −0.0474791 0.269268i 0.951822 0.306652i \(-0.0992086\pi\)
−0.999301 + 0.0373840i \(0.988098\pi\)
\(74\) −0.215012 0.256241i −0.0249946 0.0297874i
\(75\) −2.57331 + 8.25562i −0.297141 + 0.953276i
\(76\) −6.61596 + 4.95243i −0.758902 + 0.568083i
\(77\) −0.225854 + 0.130397i −0.0257385 + 0.0148601i
\(78\) 0.167559 1.30574i 0.0189723 0.147846i
\(79\) −1.22472 + 3.36489i −0.137792 + 0.378580i −0.989326 0.145719i \(-0.953450\pi\)
0.851534 + 0.524299i \(0.175673\pi\)
\(80\) 0.187683 0.223672i 0.0209836 0.0250073i
\(81\) −0.117807 8.99923i −0.0130897 0.999914i
\(82\) −0.236895 + 1.34350i −0.0261606 + 0.148364i
\(83\) −3.67729 + 2.12308i −0.403635 + 0.233039i −0.688051 0.725662i \(-0.741534\pi\)
0.284416 + 0.958701i \(0.408200\pi\)
\(84\) 0.336085 + 0.364372i 0.0366699 + 0.0397562i
\(85\) 0.152224 + 0.127731i 0.0165110 + 0.0138544i
\(86\) 1.23615 + 1.03725i 0.133297 + 0.111850i
\(87\) 9.05348 2.03822i 0.970635 0.218520i
\(88\) −1.88036 + 1.08563i −0.200447 + 0.115728i
\(89\) −2.82275 + 16.0086i −0.299211 + 1.69691i 0.350365 + 0.936613i \(0.386058\pi\)
−0.649576 + 0.760297i \(0.725054\pi\)
\(90\) 0.0758495 + 0.0347666i 0.00799524 + 0.00366473i
\(91\) 0.228619 0.272457i 0.0239657 0.0285612i
\(92\) −3.38311 + 9.29500i −0.352713 + 0.969071i
\(93\) 0.252353 0.105497i 0.0261678 0.0109395i
\(94\) 3.15065 1.81903i 0.324965 0.187619i
\(95\) −0.335405 + 0.169550i −0.0344118 + 0.0173955i
\(96\) 4.23450 + 4.59090i 0.432182 + 0.468556i
\(97\) 1.33420 + 1.59003i 0.135467 + 0.161443i 0.829513 0.558487i \(-0.188618\pi\)
−0.694046 + 0.719931i \(0.744174\pi\)
\(98\) 0.390828 + 2.21650i 0.0394796 + 0.223900i
\(99\) 3.68888 + 3.64090i 0.370746 + 0.365924i
\(100\) −7.25109 + 6.08439i −0.725109 + 0.608439i
\(101\) 8.78539 10.4700i 0.874179 1.04181i −0.124591 0.992208i \(-0.539762\pi\)
0.998769 0.0495973i \(-0.0157938\pi\)
\(102\) −0.946540 + 0.873060i −0.0937215 + 0.0864458i
\(103\) −13.2363 7.64196i −1.30421 0.752985i −0.323085 0.946370i \(-0.604720\pi\)
−0.981123 + 0.193385i \(0.938053\pi\)
\(104\) 1.90337 2.26835i 0.186641 0.222430i
\(105\) 0.0121742 + 0.0189724i 0.00118808 + 0.00185152i
\(106\) −1.51683 −0.147327
\(107\) −7.38383 + 12.7892i −0.713822 + 1.23638i 0.249590 + 0.968352i \(0.419704\pi\)
−0.963412 + 0.268025i \(0.913629\pi\)
\(108\) 5.21144 8.36033i 0.501471 0.804473i
\(109\) −6.64212 7.91577i −0.636200 0.758193i 0.347565 0.937656i \(-0.387009\pi\)
−0.983765 + 0.179463i \(0.942564\pi\)
\(110\) −0.0451535 + 0.0164345i −0.00430521 + 0.00156697i
\(111\) −1.65709 + 0.692751i −0.157284 + 0.0657530i
\(112\) 0.0887676 + 0.503426i 0.00838775 + 0.0475693i
\(113\) −6.25695 10.8374i −0.588605 1.01949i −0.994415 0.105536i \(-0.966344\pi\)
0.405811 0.913957i \(-0.366989\pi\)
\(114\) −0.813135 2.29565i −0.0761571 0.215007i
\(115\) −0.224914 + 0.389562i −0.0209733 + 0.0363269i
\(116\) 9.54558 + 3.47431i 0.886285 + 0.322581i
\(117\) −6.42571 2.94531i −0.594057 0.272294i
\(118\) 0.690871 + 0.579709i 0.0635998 + 0.0533666i
\(119\) −0.342615 + 0.0604122i −0.0314075 + 0.00553798i
\(120\) 0.101357 + 0.157956i 0.00925260 + 0.0144193i
\(121\) 8.01512 0.728647
\(122\) −0.875985 + 1.51725i −0.0793080 + 0.137365i
\(123\) 6.50845 + 3.36106i 0.586847 + 0.303057i
\(124\) 0.294850 + 0.0519901i 0.0264783 + 0.00466885i
\(125\) −0.746132 + 0.430779i −0.0667360 + 0.0385301i
\(126\) −0.131986 + 0.0626010i −0.0117583 + 0.00557694i
\(127\) −12.2504 2.16007i −1.08704 0.191675i −0.398716 0.917075i \(-0.630544\pi\)
−0.688328 + 0.725400i \(0.741655\pi\)
\(128\) 1.56655 + 8.88432i 0.138464 + 0.785271i
\(129\) 7.29228 4.67931i 0.642049 0.411991i
\(130\) 0.0502002 0.0421230i 0.00440285 0.00369443i
\(131\) 6.56092 1.15687i 0.573230 0.101076i 0.120484 0.992715i \(-0.461555\pi\)
0.452747 + 0.891639i \(0.350444\pi\)
\(132\) 1.24609 + 5.53495i 0.108458 + 0.481756i
\(133\) 0.150060 0.640637i 0.0130118 0.0555503i
\(134\) 0.652773i 0.0563910i
\(135\) 0.299415 0.333265i 0.0257696 0.0286829i
\(136\) −2.85245 + 0.502964i −0.244596 + 0.0431288i
\(137\) −4.28317 11.7679i −0.365936 1.00540i −0.976892 0.213735i \(-0.931437\pi\)
0.610956 0.791665i \(-0.290785\pi\)
\(138\) −2.31839 1.76694i −0.197354 0.150412i
\(139\) 13.5159 4.91940i 1.14641 0.417258i 0.302184 0.953250i \(-0.402284\pi\)
0.844223 + 0.535992i \(0.180062\pi\)
\(140\) 0.0246756i 0.00208547i
\(141\) −4.29038 19.0573i −0.361315 1.60491i
\(142\) 0.780575 4.42686i 0.0655044 0.371494i
\(143\) 3.82525 1.39228i 0.319883 0.116428i
\(144\) 9.17931 4.35375i 0.764943 0.362813i
\(145\) 0.400064 + 0.230977i 0.0332235 + 0.0191816i
\(146\) 0.577274 + 0.484390i 0.0477755 + 0.0400884i
\(147\) 11.9866 + 1.53818i 0.988638 + 0.126867i
\(148\) −1.93615 0.341395i −0.159150 0.0280625i
\(149\) −4.31828 5.14633i −0.353768 0.421604i 0.559585 0.828773i \(-0.310960\pi\)
−0.913353 + 0.407169i \(0.866516\pi\)
\(150\) −1.07590 2.57361i −0.0878471 0.210134i
\(151\) 4.36850 + 2.52215i 0.355503 + 0.205250i 0.667106 0.744962i \(-0.267533\pi\)
−0.311603 + 0.950212i \(0.600866\pi\)
\(152\) 1.24933 5.33365i 0.101334 0.432616i
\(153\) 2.96302 + 6.24713i 0.239546 + 0.505051i
\(154\) 0.0287729 0.0790528i 0.00231858 0.00637026i
\(155\) 0.0127944 + 0.00465676i 0.00102767 + 0.000374040i
\(156\) −4.17864 6.51203i −0.334559 0.521380i
\(157\) −21.6123 7.86625i −1.72485 0.627795i −0.726610 0.687050i \(-0.758905\pi\)
−0.998243 + 0.0592545i \(0.981128\pi\)
\(158\) −0.395067 1.08544i −0.0314299 0.0863529i
\(159\) −2.42366 + 7.77550i −0.192209 + 0.616638i
\(160\) 0.310900i 0.0245788i
\(161\) −0.269354 0.740045i −0.0212281 0.0583237i
\(162\) 1.89509 + 2.19936i 0.148892 + 0.172798i
\(163\) −3.90710 6.76730i −0.306028 0.530056i 0.671462 0.741039i \(-0.265667\pi\)
−0.977490 + 0.210983i \(0.932333\pi\)
\(164\) 4.00910 + 6.94396i 0.313058 + 0.542232i
\(165\) 0.0120976 + 0.257724i 0.000941797 + 0.0200638i
\(166\) 0.468471 1.28711i 0.0363604 0.0998994i
\(167\) −3.55086 + 20.1379i −0.274774 + 1.55832i 0.464905 + 0.885361i \(0.346089\pi\)
−0.739679 + 0.672960i \(0.765023\pi\)
\(168\) −0.325908 0.0418220i −0.0251443 0.00322664i
\(169\) 5.70579 4.78773i 0.438907 0.368287i
\(170\) −0.0641006 −0.00491629
\(171\) −13.0671 + 0.500163i −0.999268 + 0.0382484i
\(172\) 9.48435 0.723175
\(173\) 4.17762 3.50544i 0.317618 0.266513i −0.470014 0.882659i \(-0.655751\pi\)
0.787632 + 0.616146i \(0.211307\pi\)
\(174\) −1.81457 + 2.38089i −0.137562 + 0.180495i
\(175\) 0.130866 0.742180i 0.00989257 0.0561036i
\(176\) −2.00108 + 5.49793i −0.150837 + 0.414422i
\(177\) 4.07559 2.61523i 0.306340 0.196572i
\(178\) −2.62184 4.54116i −0.196515 0.340374i
\(179\) −7.16626 12.4123i −0.535632 0.927741i −0.999132 0.0416446i \(-0.986740\pi\)
0.463501 0.886096i \(-0.346593\pi\)
\(180\) 0.472854 0.130024i 0.0352444 0.00969139i
\(181\) 5.22208 + 14.3475i 0.388154 + 1.06644i 0.967832 + 0.251599i \(0.0809563\pi\)
−0.579678 + 0.814846i \(0.696821\pi\)
\(182\) 0.114730i 0.00850437i
\(183\) 6.37798 + 6.91477i 0.471474 + 0.511155i
\(184\) −2.24252 6.16127i −0.165321 0.454215i
\(185\) −0.0840146 0.0305788i −0.00617688 0.00224820i
\(186\) −0.0404840 + 0.0783944i −0.00296843 + 0.00574815i
\(187\) −3.74171 1.36187i −0.273621 0.0995899i
\(188\) 7.31330 20.0931i 0.533378 1.46544i
\(189\) 0.110009 + 0.776608i 0.00800200 + 0.0564899i
\(190\) 0.0477254 0.111443i 0.00346237 0.00808493i
\(191\) −1.47331 0.850617i −0.106605 0.0615485i 0.445750 0.895158i \(-0.352937\pi\)
−0.552355 + 0.833609i \(0.686271\pi\)
\(192\) 9.63744 + 1.23672i 0.695522 + 0.0892527i
\(193\) 10.6727 + 12.7192i 0.768237 + 0.915549i 0.998339 0.0576178i \(-0.0183505\pi\)
−0.230102 + 0.973166i \(0.573906\pi\)
\(194\) −0.659382 0.116267i −0.0473409 0.00834748i
\(195\) −0.135717 0.324640i −0.00971887 0.0232480i
\(196\) 10.1335 + 8.50306i 0.723825 + 0.607361i
\(197\) −19.5986 11.3153i −1.39634 0.806179i −0.402335 0.915492i \(-0.631801\pi\)
−0.994007 + 0.109313i \(0.965135\pi\)
\(198\) −1.66649 0.134814i −0.118432 0.00958083i
\(199\) 18.8242 6.85144i 1.33441 0.485686i 0.426363 0.904552i \(-0.359795\pi\)
0.908048 + 0.418866i \(0.137572\pi\)
\(200\) 1.08953 6.17905i 0.0770416 0.436925i
\(201\) 3.34622 + 1.04303i 0.236024 + 0.0735698i
\(202\) 4.40887i 0.310207i
\(203\) −0.759995 + 0.276616i −0.0533412 + 0.0194146i
\(204\) −0.963319 + 7.50689i −0.0674458 + 0.525587i
\(205\) 0.124713 + 0.342645i 0.00871031 + 0.0239314i
\(206\) 4.85534 0.856128i 0.338288 0.0596493i
\(207\) −12.7620 + 9.06113i −0.887023 + 0.629792i
\(208\) 7.97921i 0.553258i
\(209\) 5.15355 5.49124i 0.356479 0.379837i
\(210\) −0.00694227 0.00216394i −0.000479062 0.000149326i
\(211\) −4.16483 + 0.734372i −0.286719 + 0.0505563i −0.315158 0.949039i \(-0.602057\pi\)
0.0284390 + 0.999596i \(0.490946\pi\)
\(212\) −6.82940 + 5.73054i −0.469045 + 0.393575i
\(213\) −21.4455 11.0748i −1.46942 0.758832i
\(214\) −0.827210 4.69134i −0.0565469 0.320694i
\(215\) 0.424758 + 0.0748963i 0.0289682 + 0.00510788i
\(216\) 0.915886 + 6.46568i 0.0623182 + 0.439934i
\(217\) −0.0206438 + 0.0119187i −0.00140139 + 0.000809094i
\(218\) 3.28265 + 0.578819i 0.222329 + 0.0392026i
\(219\) 3.40546 2.18521i 0.230119 0.147663i
\(220\) −0.141211 + 0.244584i −0.00952041 + 0.0164898i
\(221\) 5.43038 0.365287
\(222\) 0.265840 0.514780i 0.0178420 0.0345498i
\(223\) −3.70129 + 0.652637i −0.247857 + 0.0437038i −0.296196 0.955127i \(-0.595718\pi\)
0.0483394 + 0.998831i \(0.484607\pi\)
\(224\) −0.416966 0.349876i −0.0278597 0.0233771i
\(225\) −14.9118 + 1.40302i −0.994123 + 0.0935347i
\(226\) 3.79326 + 1.38063i 0.252324 + 0.0918383i
\(227\) −9.58934 + 16.6092i −0.636467 + 1.10239i 0.349736 + 0.936848i \(0.386271\pi\)
−0.986202 + 0.165544i \(0.947062\pi\)
\(228\) −12.3340 7.26397i −0.816838 0.481068i
\(229\) 5.98108 + 10.3595i 0.395241 + 0.684577i 0.993132 0.117000i \(-0.0373278\pi\)
−0.597891 + 0.801577i \(0.703994\pi\)
\(230\) −0.0251971 0.142900i −0.00166145 0.00942253i
\(231\) −0.359263 0.273809i −0.0236377 0.0180153i
\(232\) −6.32737 + 2.30297i −0.415412 + 0.151198i
\(233\) 10.9340 + 13.0306i 0.716309 + 0.853664i 0.994267 0.106929i \(-0.0341019\pi\)
−0.277957 + 0.960593i \(0.589657\pi\)
\(234\) 2.19855 0.604550i 0.143724 0.0395207i
\(235\) 0.486199 0.842122i 0.0317161 0.0549340i
\(236\) 5.30072 0.345047
\(237\) −6.19539 + 0.290813i −0.402434 + 0.0188903i
\(238\) 0.0721366 0.0859691i 0.00467592 0.00557255i
\(239\) −11.7291 6.77179i −0.758692 0.438031i 0.0701341 0.997538i \(-0.477657\pi\)
−0.828826 + 0.559507i \(0.810991\pi\)
\(240\) 0.482818 + 0.150497i 0.0311658 + 0.00971451i
\(241\) −9.44271 + 11.2534i −0.608259 + 0.724894i −0.979004 0.203840i \(-0.934658\pi\)
0.370746 + 0.928734i \(0.379102\pi\)
\(242\) −1.98060 + 1.66192i −0.127318 + 0.106832i
\(243\) 14.3023 6.20029i 0.917494 0.397749i
\(244\) 1.78809 + 10.1407i 0.114471 + 0.649195i
\(245\) 0.386685 + 0.460833i 0.0247044 + 0.0294416i
\(246\) −2.30521 + 0.518972i −0.146975 + 0.0330884i
\(247\) −4.04313 + 9.44107i −0.257258 + 0.600721i
\(248\) −0.171871 + 0.0992296i −0.0109138 + 0.00630108i
\(249\) −5.84940 4.45807i −0.370691 0.282518i
\(250\) 0.0950540 0.261159i 0.00601174 0.0165171i
\(251\) 13.8093 16.4573i 0.871638 1.03878i −0.127261 0.991869i \(-0.540619\pi\)
0.998899 0.0469085i \(-0.0149369\pi\)
\(252\) −0.357751 + 0.780496i −0.0225362 + 0.0491666i
\(253\) 1.56521 8.87674i 0.0984038 0.558076i
\(254\) 3.47506 2.00632i 0.218044 0.125888i
\(255\) −0.102423 + 0.328590i −0.00641397 + 0.0205771i
\(256\) 6.36546 + 5.34125i 0.397841 + 0.333828i
\(257\) 19.0745 + 16.0054i 1.18984 + 0.998391i 0.999862 + 0.0166022i \(0.00528490\pi\)
0.189974 + 0.981789i \(0.439160\pi\)
\(258\) −0.831735 + 2.66834i −0.0517815 + 0.166124i
\(259\) 0.135558 0.0782646i 0.00842318 0.00486313i
\(260\) 0.0668826 0.379310i 0.00414788 0.0235238i
\(261\) 9.30540 + 13.1061i 0.575990 + 0.811246i
\(262\) −1.38138 + 1.64627i −0.0853422 + 0.101707i
\(263\) −4.24298 + 11.6575i −0.261633 + 0.718832i 0.737424 + 0.675430i \(0.236042\pi\)
−0.999058 + 0.0434019i \(0.986180\pi\)
\(264\) −2.99105 2.27960i −0.184087 0.140300i
\(265\) −0.351108 + 0.202713i −0.0215684 + 0.0124525i
\(266\) 0.0957543 + 0.189422i 0.00587107 + 0.0116142i
\(267\) −27.4680 + 6.18388i −1.68101 + 0.378448i
\(268\) 2.46616 + 2.93906i 0.150645 + 0.179532i
\(269\) −3.68997 20.9268i −0.224981 1.27593i −0.862721 0.505680i \(-0.831242\pi\)
0.637740 0.770252i \(-0.279869\pi\)
\(270\) −0.00488606 + 0.144436i −0.000297356 + 0.00879009i
\(271\) −16.4641 + 13.8150i −1.00012 + 0.839204i −0.987002 0.160710i \(-0.948622\pi\)
−0.0131225 + 0.999914i \(0.504177\pi\)
\(272\) −5.01693 + 5.97894i −0.304196 + 0.362527i
\(273\) 0.588125 + 0.183321i 0.0355949 + 0.0110951i
\(274\) 3.49847 + 2.01984i 0.211350 + 0.122023i
\(275\) 5.54441 6.60757i 0.334340 0.398451i
\(276\) −17.1138 + 0.803325i −1.03013 + 0.0483545i
\(277\) 11.3297 0.680735 0.340367 0.940293i \(-0.389449\pi\)
0.340367 + 0.940293i \(0.389449\pi\)
\(278\) −2.31987 + 4.01814i −0.139137 + 0.240992i
\(279\) 0.337175 + 0.332790i 0.0201861 + 0.0199236i
\(280\) −0.0105137 0.0125297i −0.000628314 0.000748796i
\(281\) 28.1095 10.2310i 1.67687 0.610332i 0.683997 0.729485i \(-0.260240\pi\)
0.992876 + 0.119154i \(0.0380181\pi\)
\(282\) 5.01169 + 3.81961i 0.298442 + 0.227455i
\(283\) 4.84259 + 27.4637i 0.287862 + 1.63255i 0.694878 + 0.719127i \(0.255458\pi\)
−0.407016 + 0.913421i \(0.633431\pi\)
\(284\) −13.2101 22.8806i −0.783875 1.35771i
\(285\) −0.495017 0.422717i −0.0293223 0.0250396i
\(286\) −0.656564 + 1.13720i −0.0388235 + 0.0672442i
\(287\) −0.599889 0.218342i −0.0354104 0.0128883i
\(288\) −4.50748 + 9.83385i −0.265606 + 0.579465i
\(289\) 8.95369 + 7.51304i 0.526687 + 0.441943i
\(290\) −0.146752 + 0.0258763i −0.00861757 + 0.00151951i
\(291\) −1.64959 + 3.19432i −0.0967009 + 0.187254i
\(292\) 4.42914 0.259196
\(293\) 0.816749 1.41465i 0.0477150 0.0826448i −0.841182 0.540753i \(-0.818139\pi\)
0.888896 + 0.458108i \(0.151473\pi\)
\(294\) −3.28093 + 2.10531i −0.191348 + 0.122784i
\(295\) 0.237393 + 0.0418588i 0.0138216 + 0.00243712i
\(296\) 1.12860 0.651595i 0.0655983 0.0378732i
\(297\) −3.35387 + 8.32727i −0.194611 + 0.483197i
\(298\) 2.13417 + 0.376312i 0.123629 + 0.0217991i
\(299\) 2.13461 + 12.1060i 0.123448 + 0.700106i
\(300\) −14.5672 7.52271i −0.841037 0.434324i
\(301\) −0.578456 + 0.485382i −0.0333416 + 0.0279770i
\(302\) −1.60246 + 0.282557i −0.0922111 + 0.0162593i
\(303\) 22.6006 + 7.04470i 1.29837 + 0.404707i
\(304\) −6.65948 13.1738i −0.381947 0.755570i
\(305\) 0.468275i 0.0268133i
\(306\) −2.02752 0.929342i −0.115906 0.0531269i
\(307\) 25.4595 4.48919i 1.45305 0.256212i 0.609296 0.792943i \(-0.291452\pi\)
0.843753 + 0.536731i \(0.180341\pi\)
\(308\) −0.169112 0.464632i −0.00963607 0.0264749i
\(309\) 3.36945 26.2572i 0.191681 1.49372i
\(310\) −0.00412717 + 0.00150217i −0.000234407 + 8.53173e-5i
\(311\) 15.5145i 0.879746i 0.898060 + 0.439873i \(0.144977\pi\)
−0.898060 + 0.439873i \(0.855023\pi\)
\(312\) 4.89646 + 1.52625i 0.277207 + 0.0864068i
\(313\) −1.21737 + 6.90405i −0.0688098 + 0.390240i 0.930880 + 0.365326i \(0.119042\pi\)
−0.999690 + 0.0249142i \(0.992069\pi\)
\(314\) 6.97165 2.53747i 0.393433 0.143198i
\(315\) −0.0221854 + 0.0321295i −0.00125000 + 0.00181029i
\(316\) −5.87952 3.39454i −0.330749 0.190958i
\(317\) −7.73472 6.49020i −0.434425 0.364526i 0.399193 0.916867i \(-0.369290\pi\)
−0.833618 + 0.552341i \(0.813735\pi\)
\(318\) −1.01333 2.42394i −0.0568249 0.135928i
\(319\) −9.11604 1.60740i −0.510400 0.0899973i
\(320\) 0.310902 + 0.370518i 0.0173799 + 0.0207126i
\(321\) −25.3703 3.25564i −1.41603 0.181712i
\(322\) 0.220007 + 0.127021i 0.0122605 + 0.00707861i
\(323\) 8.96566 4.53222i 0.498863 0.252179i
\(324\) 16.8416 + 2.74283i 0.935645 + 0.152379i
\(325\) −4.02333 + 11.0540i −0.223174 + 0.613165i
\(326\) 2.36867 + 0.862125i 0.131188 + 0.0477487i
\(327\) 8.21229 15.9025i 0.454141 0.879411i
\(328\) −4.99440 1.81781i −0.275770 0.100372i
\(329\) 0.582267 + 1.59977i 0.0321014 + 0.0881979i
\(330\) −0.0564281 0.0611773i −0.00310626 0.00336770i
\(331\) 9.42992i 0.518316i −0.965835 0.259158i \(-0.916555\pi\)
0.965835 0.259158i \(-0.0834450\pi\)
\(332\) −2.75343 7.56499i −0.151114 0.415183i
\(333\) −2.21407 2.18528i −0.121330 0.119752i
\(334\) −3.29813 5.71252i −0.180465 0.312575i
\(335\) 0.0872382 + 0.151101i 0.00476633 + 0.00825553i
\(336\) −0.745187 + 0.478172i −0.0406533 + 0.0260864i
\(337\) 6.09916 16.7573i 0.332242 0.912828i −0.655285 0.755382i \(-0.727452\pi\)
0.987527 0.157447i \(-0.0503262\pi\)
\(338\) −0.417221 + 2.36618i −0.0226938 + 0.128703i
\(339\) 13.1384 17.2388i 0.713579 0.936283i
\(340\) −0.288608 + 0.242171i −0.0156519 + 0.0131335i
\(341\) −0.272828 −0.0147744
\(342\) 3.12529 2.83305i 0.168996 0.153194i
\(343\) −2.10987 −0.113922
\(344\) −4.81596 + 4.04107i −0.259659 + 0.217880i
\(345\) −0.772787 0.0991677i −0.0416055 0.00533901i
\(346\) −0.305477 + 1.73245i −0.0164225 + 0.0931369i
\(347\) −2.73316 + 7.50929i −0.146724 + 0.403120i −0.991183 0.132500i \(-0.957700\pi\)
0.844459 + 0.535620i \(0.179922\pi\)
\(348\) 0.824981 + 17.5752i 0.0442236 + 0.942127i
\(349\) 5.01110 + 8.67948i 0.268238 + 0.464602i 0.968407 0.249375i \(-0.0802253\pi\)
−0.700169 + 0.713977i \(0.746892\pi\)
\(350\) 0.121552 + 0.210534i 0.00649722 + 0.0112535i
\(351\) 0.413930 12.2361i 0.0220939 0.653115i
\(352\) −2.13073 5.85413i −0.113568 0.312026i
\(353\) 5.84678i 0.311193i −0.987821 0.155596i \(-0.950270\pi\)
0.987821 0.155596i \(-0.0497299\pi\)
\(354\) −0.464849 + 1.49131i −0.0247064 + 0.0792624i
\(355\) −0.410932 1.12903i −0.0218100 0.0599225i
\(356\) −28.9610 10.5409i −1.53493 0.558669i
\(357\) −0.325428 0.507149i −0.0172235 0.0268412i
\(358\) 4.34452 + 1.58128i 0.229615 + 0.0835731i
\(359\) 9.59683 26.3671i 0.506501 1.39160i −0.378322 0.925674i \(-0.623499\pi\)
0.884824 0.465926i \(-0.154279\pi\)
\(360\) −0.184705 + 0.267496i −0.00973481 + 0.0140983i
\(361\) 1.20427 + 18.9618i 0.0633829 + 0.997989i
\(362\) −4.26536 2.46261i −0.224183 0.129432i
\(363\) 5.35458 + 12.8084i 0.281043 + 0.672266i
\(364\) 0.433448 + 0.516563i 0.0227188 + 0.0270753i
\(365\) 0.198360 + 0.0349762i 0.0103826 + 0.00183074i
\(366\) −3.00982 0.386234i −0.157326 0.0201888i
\(367\) −21.7260 18.2303i −1.13409 0.951615i −0.134861 0.990865i \(-0.543059\pi\)
−0.999229 + 0.0392499i \(0.987503\pi\)
\(368\) −15.3010 8.83402i −0.797618 0.460505i
\(369\) −1.02303 + 12.6461i −0.0532570 + 0.658329i
\(370\) 0.0271012 0.00986403i 0.00140892 0.000512807i
\(371\) 0.123256 0.699018i 0.00639912 0.0362912i
\(372\) 0.113896 + 0.505912i 0.00590524 + 0.0262303i
\(373\) 27.1009i 1.40323i −0.712556 0.701615i \(-0.752463\pi\)
0.712556 0.701615i \(-0.247537\pi\)
\(374\) 1.20699 0.439309i 0.0624120 0.0227161i
\(375\) −1.18686 0.904553i −0.0612891 0.0467109i
\(376\) 4.84769 + 13.3189i 0.250000 + 0.686870i
\(377\) 12.4323 2.19215i 0.640297 0.112902i
\(378\) −0.188213 0.169096i −0.00968063 0.00869737i
\(379\) 33.2252i 1.70666i −0.521369 0.853331i \(-0.674578\pi\)
0.521369 0.853331i \(-0.325422\pi\)
\(380\) −0.206150 0.682069i −0.0105752 0.0349894i
\(381\) −4.73213 21.0195i −0.242434 1.07686i
\(382\) 0.540442 0.0952945i 0.0276514 0.00487569i
\(383\) 6.34489 5.32400i 0.324209 0.272044i −0.466126 0.884718i \(-0.654351\pi\)
0.790335 + 0.612675i \(0.209906\pi\)
\(384\) −13.1509 + 8.43865i −0.671102 + 0.430633i
\(385\) −0.00390460 0.0221441i −0.000198997 0.00112857i
\(386\) −5.27462 0.930058i −0.268471 0.0473387i
\(387\) 12.3494 + 8.52721i 0.627753 + 0.433462i
\(388\) −3.40807 + 1.96765i −0.173018 + 0.0998922i
\(389\) −13.4798 2.37684i −0.683451 0.120511i −0.178867 0.983873i \(-0.557243\pi\)
−0.504584 + 0.863363i \(0.668354\pi\)
\(390\) 0.100850 + 0.0520807i 0.00510676 + 0.00263721i
\(391\) 6.01214 10.4133i 0.304047 0.526625i
\(392\) −8.76856 −0.442879
\(393\) 6.23180 + 9.71168i 0.314353 + 0.489890i
\(394\) 7.18919 1.26765i 0.362186 0.0638632i
\(395\) −0.236509 0.198455i −0.0119001 0.00998533i
\(396\) −8.01255 + 5.68896i −0.402646 + 0.285881i
\(397\) 10.1988 + 3.71207i 0.511864 + 0.186303i 0.585023 0.811017i \(-0.301086\pi\)
−0.0731584 + 0.997320i \(0.523308\pi\)
\(398\) −3.23098 + 5.59622i −0.161954 + 0.280513i
\(399\) 1.12401 0.188185i 0.0562707 0.00942103i
\(400\) −8.45364 14.6421i −0.422682 0.732107i
\(401\) 1.36403 + 7.73580i 0.0681164 + 0.386307i 0.999738 + 0.0228782i \(0.00728299\pi\)
−0.931622 + 0.363429i \(0.881606\pi\)
\(402\) −1.04315 + 0.436092i −0.0520276 + 0.0217503i
\(403\) 0.349639 0.127258i 0.0174168 0.00633919i
\(404\) 16.6566 + 19.8506i 0.828697 + 0.987602i
\(405\) 0.732594 + 0.255833i 0.0364029 + 0.0127125i
\(406\) 0.130445 0.225938i 0.00647390 0.0112131i
\(407\) 1.79153 0.0888030
\(408\) −2.70936 4.22229i −0.134133 0.209035i
\(409\) −16.1350 + 19.2289i −0.797822 + 0.950808i −0.999590 0.0286256i \(-0.990887\pi\)
0.201768 + 0.979433i \(0.435331\pi\)
\(410\) −0.101865 0.0588116i −0.00503074 0.00290450i
\(411\) 15.9440 14.7063i 0.786461 0.725408i
\(412\) 18.6264 22.1980i 0.917655 1.09362i
\(413\) −0.323294 + 0.271276i −0.0159082 + 0.0133486i
\(414\) 1.27479 4.88527i 0.0626527 0.240098i
\(415\) −0.0635734 0.360543i −0.00312069 0.0176983i
\(416\) 5.46122 + 6.50843i 0.267758 + 0.319102i
\(417\) 16.8908 + 18.3124i 0.827146 + 0.896762i
\(418\) −0.134885 + 2.42551i −0.00659745 + 0.118636i
\(419\) 12.1917 7.03889i 0.595605 0.343872i −0.171706 0.985148i \(-0.554928\pi\)
0.767310 + 0.641276i \(0.221595\pi\)
\(420\) −0.0394323 + 0.0164848i −0.00192410 + 0.000804375i
\(421\) 0.887017 2.43706i 0.0432306 0.118775i −0.916199 0.400724i \(-0.868759\pi\)
0.959429 + 0.281949i \(0.0909809\pi\)
\(422\) 0.876894 1.04504i 0.0426866 0.0508719i
\(423\) 27.5879 19.5876i 1.34137 0.952380i
\(424\) 1.02617 5.81970i 0.0498352 0.282630i
\(425\) 9.96495 5.75326i 0.483371 0.279074i
\(426\) 7.59572 1.71003i 0.368014 0.0828511i
\(427\) −0.628031 0.526981i −0.0303925 0.0255024i
\(428\) −21.4482 17.9972i −1.03674 0.869927i
\(429\) 4.78039 + 5.18273i 0.230799 + 0.250224i
\(430\) −0.120491 + 0.0695655i −0.00581059 + 0.00335474i
\(431\) −4.59656 + 26.0684i −0.221409 + 1.25567i 0.648024 + 0.761620i \(0.275596\pi\)
−0.869433 + 0.494051i \(0.835516\pi\)
\(432\) 13.0898 + 11.7602i 0.629781 + 0.565815i
\(433\) −21.4572 + 25.5717i −1.03117 + 1.22890i −0.0581179 + 0.998310i \(0.518510\pi\)
−0.973051 + 0.230590i \(0.925935\pi\)
\(434\) 0.00262993 0.00722567i 0.000126241 0.000346843i
\(435\) −0.101841 + 0.793620i −0.00488291 + 0.0380512i
\(436\) 16.9666 9.79568i 0.812554 0.469128i
\(437\) 13.6280 + 18.2056i 0.651914 + 0.870893i
\(438\) −0.388416 + 1.24610i −0.0185592 + 0.0595410i
\(439\) −9.82602 11.7102i −0.468970 0.558897i 0.478770 0.877940i \(-0.341083\pi\)
−0.947740 + 0.319043i \(0.896638\pi\)
\(440\) −0.0325079 0.184361i −0.00154975 0.00878907i
\(441\) 5.54972 + 20.1825i 0.264272 + 0.961073i
\(442\) −1.34189 + 1.12598i −0.0638274 + 0.0535575i
\(443\) −20.5463 + 24.4861i −0.976183 + 1.16337i 0.0103733 + 0.999946i \(0.496698\pi\)
−0.986556 + 0.163423i \(0.947746\pi\)
\(444\) −0.747904 3.32209i −0.0354939 0.157659i
\(445\) −1.21378 0.700778i −0.0575388 0.0332200i
\(446\) 0.779297 0.928730i 0.0369008 0.0439766i
\(447\) 5.33911 10.3388i 0.252531 0.489008i
\(448\) −0.846802 −0.0400076
\(449\) −5.22655 + 9.05266i −0.246656 + 0.427221i −0.962596 0.270941i \(-0.912665\pi\)
0.715940 + 0.698162i \(0.245999\pi\)
\(450\) 3.39393 3.43865i 0.159991 0.162099i
\(451\) −4.69659 5.59718i −0.221154 0.263561i
\(452\) 22.2948 8.11465i 1.04866 0.381681i
\(453\) −1.11205 + 8.66593i −0.0522488 + 0.407161i
\(454\) −1.07429 6.09262i −0.0504190 0.285941i
\(455\) 0.0153328 + 0.0265572i 0.000718813 + 0.00124502i
\(456\) 9.35795 1.56674i 0.438226 0.0733694i
\(457\) −10.6919 + 18.5189i −0.500146 + 0.866278i 0.499854 + 0.866109i \(0.333387\pi\)
−1.00000 0.000168214i \(0.999946\pi\)
\(458\) −3.62601 1.31976i −0.169432 0.0616683i
\(459\) −8.00362 + 8.90845i −0.373577 + 0.415811i
\(460\) −0.653319 0.548200i −0.0304612 0.0255600i
\(461\) 29.0219 5.11734i 1.35168 0.238338i 0.549538 0.835468i \(-0.314804\pi\)
0.802144 + 0.597130i \(0.203692\pi\)
\(462\) 0.145551 0.00683218i 0.00677163 0.000317862i
\(463\) 11.3288 0.526493 0.263246 0.964729i \(-0.415207\pi\)
0.263246 + 0.964729i \(0.415207\pi\)
\(464\) −9.07217 + 15.7135i −0.421165 + 0.729479i
\(465\) 0.00110576 + 0.0235567i 5.12783e−5 + 0.00109242i
\(466\) −5.40376 0.952829i −0.250324 0.0441389i
\(467\) −25.8398 + 14.9186i −1.19572 + 0.690352i −0.959599 0.281370i \(-0.909211\pi\)
−0.236126 + 0.971723i \(0.575878\pi\)
\(468\) 7.61482 11.0280i 0.351995 0.509770i
\(469\) −0.300825 0.0530436i −0.0138908 0.00244933i
\(470\) 0.0544689 + 0.308908i 0.00251246 + 0.0142489i
\(471\) −1.86786 39.7923i −0.0860663 1.83353i
\(472\) −2.69159 + 2.25852i −0.123891 + 0.103957i
\(473\) −8.51133 + 1.50078i −0.391351 + 0.0690058i
\(474\) 1.47063 1.35647i 0.0675484 0.0623046i
\(475\) 2.58313 + 21.6082i 0.118522 + 0.991454i
\(476\) 0.659599i 0.0302327i
\(477\) −14.0446 + 1.32143i −0.643059 + 0.0605040i
\(478\) 4.30248 0.758643i 0.196791 0.0346995i
\(479\) 9.82162 + 26.9847i 0.448761 + 1.23296i 0.933587 + 0.358350i \(0.116661\pi\)
−0.484826 + 0.874611i \(0.661117\pi\)
\(480\) −0.496827 + 0.207700i −0.0226769 + 0.00948016i
\(481\) −2.29592 + 0.835647i −0.104685 + 0.0381022i
\(482\) 4.73874i 0.215844i
\(483\) 1.00267 0.924831i 0.0456230 0.0420813i
\(484\) −2.63879 + 14.9653i −0.119945 + 0.680243i
\(485\) −0.168169 + 0.0612085i −0.00763616 + 0.00277933i
\(486\) −2.24860 + 4.49771i −0.101999 + 0.204020i
\(487\) −27.4668 15.8580i −1.24464 0.718592i −0.274604 0.961558i \(-0.588547\pi\)
−0.970035 + 0.242965i \(0.921880\pi\)
\(488\) −5.22870 4.38740i −0.236692 0.198608i
\(489\) 8.20416 10.7646i 0.371005 0.486793i
\(490\) −0.191106 0.0336972i −0.00863330 0.00152228i
\(491\) −23.4935 27.9984i −1.06025 1.26355i −0.963347 0.268257i \(-0.913552\pi\)
−0.0968982 0.995294i \(-0.530892\pi\)
\(492\) −8.41833 + 11.0456i −0.379528 + 0.497976i
\(493\) −10.6940 6.17421i −0.481636 0.278073i
\(494\) −0.958501 3.17131i −0.0431250 0.142684i
\(495\) −0.403768 + 0.191507i −0.0181480 + 0.00860761i
\(496\) −0.182905 + 0.502528i −0.00821269 + 0.0225642i
\(497\) 1.97665 + 0.719443i 0.0886650 + 0.0322714i
\(498\) 2.36981 0.111239i 0.106194 0.00498475i
\(499\) −15.2044 5.53395i −0.680643 0.247734i −0.0215192 0.999768i \(-0.506850\pi\)
−0.659123 + 0.752035i \(0.729073\pi\)
\(500\) −0.558679 1.53496i −0.0249849 0.0686454i
\(501\) −34.5532 + 7.77898i −1.54372 + 0.347539i
\(502\) 6.93010i 0.309305i
\(503\) 9.45909 + 25.9886i 0.421760 + 1.15878i 0.950699 + 0.310116i \(0.100368\pi\)
−0.528939 + 0.848660i \(0.677410\pi\)
\(504\) −0.150893 0.548749i −0.00672132 0.0244432i
\(505\) 0.589211 + 1.02054i 0.0262196 + 0.0454136i
\(506\) 1.45380 + 2.51806i 0.0646295 + 0.111942i
\(507\) 11.4627 + 5.91953i 0.509078 + 0.262895i
\(508\) 8.06630 22.1620i 0.357884 0.983279i
\(509\) −6.22984 + 35.3312i −0.276133 + 1.56603i 0.459207 + 0.888329i \(0.348134\pi\)
−0.735340 + 0.677698i \(0.762978\pi\)
\(510\) −0.0428231 0.102435i −0.00189624 0.00453588i
\(511\) −0.270136 + 0.226671i −0.0119501 + 0.0100273i
\(512\) −20.7232 −0.915845
\(513\) −9.52890 20.5475i −0.420711 0.907195i
\(514\) −8.03218 −0.354284
\(515\) 1.00948 0.847052i 0.0444829 0.0373256i
\(516\) 6.33612 + 15.1563i 0.278932 + 0.667217i
\(517\) −3.38353 + 19.1890i −0.148808 + 0.843930i
\(518\) −0.0172695 + 0.0474477i −0.000758780 + 0.00208473i
\(519\) 8.39269 + 4.33411i 0.368398 + 0.190246i
\(520\) 0.127654 + 0.221103i 0.00559799 + 0.00969601i
\(521\) 11.5657 + 20.0324i 0.506704 + 0.877637i 0.999970 + 0.00775847i \(0.00246962\pi\)
−0.493266 + 0.869879i \(0.664197\pi\)
\(522\) −5.01697 1.30916i −0.219587 0.0573004i
\(523\) −1.11987 3.07682i −0.0489685 0.134540i 0.912797 0.408413i \(-0.133918\pi\)
−0.961766 + 0.273873i \(0.911695\pi\)
\(524\) 12.6310i 0.551789i
\(525\) 1.27345 0.286693i 0.0555780 0.0125123i
\(526\) −1.36869 3.76044i −0.0596777 0.163963i
\(527\) −0.342004 0.124479i −0.0148979 0.00542240i
\(528\) −10.1227 + 0.475161i −0.440534 + 0.0206787i
\(529\) 3.96483 + 1.44308i 0.172384 + 0.0627425i
\(530\) 0.0447297 0.122894i 0.00194293 0.00533817i
\(531\) 6.90194 + 4.76578i 0.299519 + 0.206817i
\(532\) 1.14676 + 0.491098i 0.0497182 + 0.0212918i
\(533\) 8.62962 + 4.98231i 0.373790 + 0.215808i
\(534\) 5.50535 7.22354i 0.238240 0.312593i
\(535\) −0.818441 0.975380i −0.0353843 0.0421693i
\(536\) −2.50453 0.441617i −0.108179 0.0190749i
\(537\) 15.0478 19.7441i 0.649359 0.852020i
\(538\) 5.25097 + 4.40609i 0.226385 + 0.189960i
\(539\) −10.4394 6.02720i −0.449658 0.259610i
\(540\) 0.523676 + 0.668770i 0.0225354 + 0.0287793i
\(541\) −37.3818 + 13.6059i −1.60717 + 0.584962i −0.980877 0.194626i \(-0.937651\pi\)
−0.626292 + 0.779588i \(0.715428\pi\)
\(542\) 1.20389 6.82763i 0.0517117 0.293272i
\(543\) −19.4391 + 17.9301i −0.834213 + 0.769452i
\(544\) 8.31061i 0.356315i
\(545\) 0.837207 0.304718i 0.0358620 0.0130527i
\(546\) −0.183342 + 0.0766467i −0.00784632 + 0.00328017i
\(547\) −12.2992 33.7919i −0.525878 1.44484i −0.863883 0.503693i \(-0.831974\pi\)
0.338005 0.941144i \(-0.390248\pi\)
\(548\) 23.3825 4.12296i 0.998849 0.176124i
\(549\) −6.78913 + 14.8117i −0.289753 + 0.632147i
\(550\) 2.78241i 0.118642i
\(551\) 18.6964 13.9954i 0.796494 0.596222i
\(552\) 8.34775 7.69971i 0.355304 0.327722i
\(553\) 0.532318 0.0938621i 0.0226365 0.00399142i
\(554\) −2.79966 + 2.34919i −0.118946 + 0.0998077i
\(555\) −0.00726100 0.154686i −0.000308212 0.00656607i
\(556\) 4.73539 + 26.8558i 0.200825 + 1.13894i
\(557\) −39.1010 6.89456i −1.65676 0.292132i −0.734475 0.678636i \(-0.762571\pi\)
−0.922288 + 0.386504i \(0.873683\pi\)
\(558\) −0.152322 0.0123224i −0.00644831 0.000521650i
\(559\) 10.2076 5.89334i 0.431734 0.249262i
\(560\) −0.0434054 0.00765354i −0.00183421 0.000323421i
\(561\) −0.323379 6.88917i −0.0136531 0.290861i
\(562\) −4.82471 + 8.35664i −0.203518 + 0.352504i
\(563\) 7.45419 0.314157 0.157078 0.987586i \(-0.449793\pi\)
0.157078 + 0.987586i \(0.449793\pi\)
\(564\) 36.9951 1.73656i 1.55778 0.0731223i
\(565\) 1.06256 0.187357i 0.0447021 0.00788219i
\(566\) −6.89121 5.78241i −0.289659 0.243053i
\(567\) −1.16755 + 0.694619i −0.0490325 + 0.0291713i
\(568\) 16.4567 + 5.98975i 0.690508 + 0.251324i
\(569\) −15.4418 + 26.7460i −0.647354 + 1.12125i 0.336398 + 0.941720i \(0.390791\pi\)
−0.983752 + 0.179530i \(0.942542\pi\)
\(570\) 0.209973 + 0.00181589i 0.00879479 + 7.60593e-5i
\(571\) 3.96444 + 6.86661i 0.165907 + 0.287359i 0.936977 0.349391i \(-0.113612\pi\)
−0.771070 + 0.636750i \(0.780278\pi\)
\(572\) 1.34020 + 7.60065i 0.0560365 + 0.317799i
\(573\) 0.375049 2.92266i 0.0156679 0.122096i
\(574\) 0.193511 0.0704321i 0.00807698 0.00293978i
\(575\) 16.7429 + 19.9534i 0.698226 + 0.832113i
\(576\) 4.46207 + 16.2271i 0.185920 + 0.676129i
\(577\) 17.4276 30.1855i 0.725520 1.25664i −0.233240 0.972419i \(-0.574933\pi\)
0.958760 0.284218i \(-0.0917340\pi\)
\(578\) −3.77035 −0.156826
\(579\) −13.1957 + 25.5525i −0.548393 + 1.06192i
\(580\) −0.562979 + 0.670932i −0.0233764 + 0.0278589i
\(581\) 0.555088 + 0.320480i 0.0230289 + 0.0132958i
\(582\) −0.254709 1.13138i −0.0105580 0.0468974i
\(583\) 5.22197 6.22330i 0.216272 0.257743i
\(584\) −2.24903 + 1.88716i −0.0930654 + 0.0780911i
\(585\) 0.428117 0.433758i 0.0177005 0.0179337i
\(586\) 0.0915003 + 0.518924i 0.00377984 + 0.0214366i
\(587\) −9.18377 10.9448i −0.379055 0.451740i 0.542461 0.840081i \(-0.317493\pi\)
−0.921516 + 0.388341i \(0.873048\pi\)
\(588\) −6.81831 + 21.8743i −0.281182 + 0.902079i
\(589\) 0.471050 0.501916i 0.0194093 0.0206811i
\(590\) −0.0673413 + 0.0388795i −0.00277240 + 0.00160064i
\(591\) 4.98906 38.8784i 0.205222 1.59924i
\(592\) 1.20105 3.29987i 0.0493631 0.135624i
\(593\) 9.60631 11.4483i 0.394484 0.470127i −0.531846 0.846841i \(-0.678502\pi\)
0.926330 + 0.376714i \(0.122946\pi\)
\(594\) −0.897878 2.75316i −0.0368404 0.112964i
\(595\) 0.00520874 0.0295402i 0.000213538 0.00121103i
\(596\) 11.0306 6.36853i 0.451832 0.260865i
\(597\) 23.5245 + 25.5044i 0.962793 + 1.04383i
\(598\) −3.03764 2.54888i −0.124218 0.104231i
\(599\) 16.0294 + 13.4503i 0.654944 + 0.549563i 0.908567 0.417740i \(-0.137178\pi\)
−0.253623 + 0.967303i \(0.581622\pi\)
\(600\) 10.6022 2.38687i 0.432832 0.0974437i
\(601\) 19.9148 11.4978i 0.812341 0.469005i −0.0354270 0.999372i \(-0.511279\pi\)
0.847768 + 0.530367i \(0.177946\pi\)
\(602\) 0.0422980 0.239884i 0.00172394 0.00977695i
\(603\) 0.568681 + 6.04416i 0.0231585 + 0.246137i
\(604\) −6.14744 + 7.32624i −0.250136 + 0.298100i
\(605\) −0.236357 + 0.649387i −0.00960930 + 0.0264013i
\(606\) −7.04550 + 2.94539i −0.286204 + 0.119648i
\(607\) 12.7334 7.35163i 0.516833 0.298394i −0.218805 0.975769i \(-0.570216\pi\)
0.735638 + 0.677375i \(0.236883\pi\)
\(608\) 14.4485 + 6.18758i 0.585966 + 0.250939i
\(609\) −0.949763 1.02970i −0.0384863 0.0417255i
\(610\) −0.0970961 0.115715i −0.00393131 0.00468515i
\(611\) −4.61441 26.1696i −0.186679 1.05871i
\(612\) −12.6398 + 3.47564i −0.510933 + 0.140495i
\(613\) 1.14891 0.964051i 0.0464041 0.0389376i −0.619291 0.785162i \(-0.712580\pi\)
0.665695 + 0.746224i \(0.268135\pi\)
\(614\) −5.36042 + 6.38830i −0.216329 + 0.257811i
\(615\) −0.464241 + 0.428202i −0.0187200 + 0.0172668i
\(616\) 0.283841 + 0.163876i 0.0114363 + 0.00660274i
\(617\) 8.72507 10.3981i 0.351258 0.418613i −0.561266 0.827635i \(-0.689686\pi\)
0.912524 + 0.409022i \(0.134130\pi\)
\(618\) 4.61178 + 7.18703i 0.185513 + 0.289105i
\(619\) −25.4951 −1.02474 −0.512368 0.858766i \(-0.671232\pi\)
−0.512368 + 0.858766i \(0.671232\pi\)
\(620\) −0.0129071 + 0.0223557i −0.000518361 + 0.000897827i
\(621\) −23.0057 14.3407i −0.923189 0.575473i
\(622\) −3.21691 3.83376i −0.128986 0.153720i
\(623\) 2.30580 0.839244i 0.0923801 0.0336236i
\(624\) 12.7510 5.33059i 0.510449 0.213394i
\(625\) 4.32185 + 24.5104i 0.172874 + 0.980417i
\(626\) −1.13072 1.95847i −0.0451928 0.0782762i
\(627\) 12.2180 + 4.56704i 0.487942 + 0.182390i
\(628\) 21.8028 37.7635i 0.870025 1.50693i
\(629\) 2.24578 + 0.817398i 0.0895452 + 0.0325918i
\(630\) −0.00117982 0.0125396i −4.70052e−5 0.000499589i
\(631\) 16.7276 + 14.0361i 0.665915 + 0.558769i 0.911853 0.410516i \(-0.134652\pi\)
−0.245938 + 0.969286i \(0.579096\pi\)
\(632\) 4.43183 0.781452i 0.176289 0.0310845i
\(633\) −3.95591 6.16492i −0.157233 0.245033i
\(634\) 3.25705 0.129354
\(635\) 0.536260 0.928829i 0.0212808 0.0368595i
\(636\) −13.7200 7.08522i −0.544034 0.280947i
\(637\) 16.1899 + 2.85471i 0.641466 + 0.113108i
\(638\) 2.58594 1.49300i 0.102379 0.0591083i
\(639\) 3.37092 41.6692i 0.133352 1.64841i
\(640\) −0.766006 0.135068i −0.0302790 0.00533901i
\(641\) −5.13023 29.0950i −0.202632 1.14918i −0.901123 0.433564i \(-0.857256\pi\)
0.698491 0.715619i \(-0.253855\pi\)
\(642\) 6.94427 4.45600i 0.274069 0.175864i
\(643\) 17.0820 14.3335i 0.673649 0.565258i −0.240494 0.970651i \(-0.577309\pi\)
0.914143 + 0.405392i \(0.132865\pi\)
\(644\) 1.47045 0.259280i 0.0579437 0.0102170i
\(645\) 0.164077 + 0.728810i 0.00646054 + 0.0286969i
\(646\) −1.27574 + 2.97897i −0.0501933 + 0.117206i
\(647\) 18.5156i 0.727923i −0.931414 0.363962i \(-0.881424\pi\)
0.931414 0.363962i \(-0.118576\pi\)
\(648\) −9.72048 + 5.78308i −0.381856 + 0.227181i
\(649\) −4.75690 + 0.838771i −0.186725 + 0.0329246i
\(650\) −1.29783 3.56577i −0.0509052 0.139861i
\(651\) −0.0328377 0.0250270i −0.00128701 0.000980884i
\(652\) 13.9218 5.06713i 0.545221 0.198444i
\(653\) 1.37543i 0.0538247i −0.999638 0.0269123i \(-0.991432\pi\)
0.999638 0.0269123i \(-0.00856750\pi\)
\(654\) 1.26804 + 5.63245i 0.0495842 + 0.220246i
\(655\) −0.0997451 + 0.565683i −0.00389736 + 0.0221030i
\(656\) −13.4582 + 4.89838i −0.525454 + 0.191250i
\(657\) 5.76708 + 3.98216i 0.224995 + 0.155359i
\(658\) −0.475592 0.274583i −0.0185405 0.0107044i
\(659\) −27.1471 22.7791i −1.05750 0.887348i −0.0636378 0.997973i \(-0.520270\pi\)
−0.993862 + 0.110625i \(0.964715\pi\)
\(660\) −0.485189 0.0622617i −0.0188860 0.00242353i
\(661\) −35.1372 6.19563i −1.36668 0.240982i −0.558296 0.829642i \(-0.688545\pi\)
−0.808381 + 0.588660i \(0.799656\pi\)
\(662\) 1.95528 + 2.33021i 0.0759942 + 0.0905664i
\(663\) 3.62782 + 8.67790i 0.140893 + 0.337022i
\(664\) 4.62141 + 2.66817i 0.179345 + 0.103545i
\(665\) 0.0474795 + 0.0310496i 0.00184118 + 0.00120405i
\(666\) 1.00023 + 0.0809158i 0.0387581 + 0.00313542i
\(667\) 9.56051 26.2673i 0.370184 1.01707i
\(668\) −36.4313 13.2599i −1.40957 0.513042i
\(669\) −3.51562 5.47877i −0.135922 0.211821i
\(670\) −0.0528879 0.0192496i −0.00204324 0.000743677i
\(671\) −3.20929 8.81744i −0.123893 0.340394i
\(672\) 0.280553 0.900062i 0.0108226 0.0347206i
\(673\) 27.1473i 1.04645i 0.852194 + 0.523227i \(0.175272\pi\)
−0.852194 + 0.523227i \(0.824728\pi\)
\(674\) 1.96745 + 5.40552i 0.0757833 + 0.208213i
\(675\) −12.2041 22.8922i −0.469735 0.881123i
\(676\) 7.06086 + 12.2298i 0.271571 + 0.470376i
\(677\) −8.93252 15.4716i −0.343305 0.594621i 0.641740 0.766923i \(-0.278213\pi\)
−0.985044 + 0.172301i \(0.944880\pi\)
\(678\) 0.327834 + 6.98408i 0.0125904 + 0.268222i
\(679\) 0.107161 0.294423i 0.00411247 0.0112989i
\(680\) 0.0433656 0.245938i 0.00166299 0.00943131i
\(681\) −32.9483 4.22808i −1.26258 0.162020i
\(682\) 0.0674180 0.0565704i 0.00258157 0.00216619i
\(683\) 0.0434208 0.00166145 0.000830726 1.00000i \(-0.499736\pi\)
0.000830726 1.00000i \(0.499736\pi\)
\(684\) 3.36818 24.5628i 0.128786 0.939183i
\(685\) 1.07974 0.0412549
\(686\) 0.521366 0.437478i 0.0199058 0.0167030i
\(687\) −12.5591 + 16.4787i −0.479160 + 0.628703i
\(688\) −2.94173 + 16.6834i −0.112152 + 0.636047i
\(689\) −3.78935 + 10.4111i −0.144363 + 0.396633i
\(690\) 0.211525 0.135731i 0.00805261 0.00516720i
\(691\) 8.84893 + 15.3268i 0.336629 + 0.583059i 0.983796 0.179289i \(-0.0573798\pi\)
−0.647167 + 0.762348i \(0.724046\pi\)
\(692\) 5.16976 + 8.95428i 0.196525 + 0.340391i
\(693\) 0.197545 0.757033i 0.00750411 0.0287573i
\(694\) −0.881655 2.42233i −0.0334672 0.0919503i
\(695\) 1.24013i 0.0470409i
\(696\) −7.90728 8.57279i −0.299725 0.324951i
\(697\) −3.33368 9.15920i −0.126272 0.346929i
\(698\) −3.03796 1.10573i −0.114989 0.0418524i
\(699\) −13.5187 + 26.1781i −0.511326 + 0.990145i
\(700\) 1.34267 + 0.488692i 0.0507482 + 0.0184708i
\(701\) 7.25275 19.9268i 0.273932 0.752623i −0.724087 0.689709i \(-0.757738\pi\)
0.998019 0.0629140i \(-0.0200394\pi\)
\(702\) 2.43485 + 3.10947i 0.0918977 + 0.117360i
\(703\) −3.09317 + 3.29585i −0.116661 + 0.124305i
\(704\) −8.39348 4.84598i −0.316341 0.182640i
\(705\) 1.67055 + 0.214372i 0.0629164 + 0.00807372i
\(706\) 1.21232 + 1.44479i 0.0456264 + 0.0543754i
\(707\) −2.03179 0.358260i −0.0764134 0.0134737i
\(708\) 3.54120 + 8.47070i 0.133086 + 0.318348i
\(709\) −31.5002 26.4318i −1.18301 0.992666i −0.999954 0.00956419i \(-0.996956\pi\)
−0.183059 0.983102i \(-0.558600\pi\)
\(710\) 0.335647 + 0.193786i 0.0125966 + 0.00727265i
\(711\) −4.60362 9.70612i −0.172649 0.364008i
\(712\) 19.1971 6.98716i 0.719440 0.261855i
\(713\) 0.143065 0.811361i 0.00535782 0.0303857i
\(714\) 0.185573 + 0.0578439i 0.00694488 + 0.00216475i
\(715\) 0.350979i 0.0131259i
\(716\) 25.5349 9.29394i 0.954284 0.347331i
\(717\) 2.98578 23.2674i 0.111506 0.868936i
\(718\) 3.09572 + 8.50541i 0.115531 + 0.317419i
\(719\) 37.2325 6.56510i 1.38854 0.244837i 0.571113 0.820871i \(-0.306512\pi\)
0.817425 + 0.576034i \(0.195401\pi\)
\(720\) 0.0820537 + 0.872098i 0.00305796 + 0.0325012i
\(721\) 2.30711i 0.0859214i
\(722\) −4.22929 4.43592i −0.157398 0.165088i
\(723\) −24.2915 7.57178i −0.903412 0.281598i
\(724\) −28.5081 + 5.02675i −1.05950 + 0.186818i
\(725\) 20.4913 17.1942i 0.761027 0.638577i
\(726\) −3.97896 2.05480i −0.147673 0.0762606i
\(727\) −1.30263 7.38756i −0.0483117 0.273989i 0.951077 0.308954i \(-0.0999791\pi\)
−0.999389 + 0.0349652i \(0.988868\pi\)
\(728\) −0.440192 0.0776177i −0.0163146 0.00287670i
\(729\) 19.4631 + 18.7134i 0.720854 + 0.693087i
\(730\) −0.0562686 + 0.0324867i −0.00208260 + 0.00120239i
\(731\) −11.3541 2.00204i −0.419948 0.0740481i
\(732\) −15.0107 + 9.63204i −0.554810 + 0.356011i
\(733\) −0.165796 + 0.287166i −0.00612380 + 0.0106067i −0.869071 0.494687i \(-0.835283\pi\)
0.862947 + 0.505294i \(0.168616\pi\)
\(734\) 9.14872 0.337685
\(735\) −0.478096 + 0.925798i −0.0176348 + 0.0341486i
\(736\) 18.5269 3.26679i 0.682910 0.120415i
\(737\) −2.67822 2.24729i −0.0986535 0.0827802i
\(738\) −2.36935 3.33708i −0.0872169 0.122840i
\(739\) 27.8907 + 10.1514i 1.02597 + 0.373424i 0.799547 0.600604i \(-0.205073\pi\)
0.226428 + 0.974028i \(0.427295\pi\)
\(740\) 0.0847548 0.146800i 0.00311565 0.00539646i
\(741\) −17.7882 0.153836i −0.653464 0.00565130i
\(742\) 0.114483 + 0.198290i 0.00420280 + 0.00727946i
\(743\) −8.14656 46.2014i −0.298868 1.69497i −0.651050 0.759035i \(-0.725671\pi\)
0.352182 0.935931i \(-0.385440\pi\)
\(744\) −0.273392 0.208363i −0.0100230 0.00763895i
\(745\) 0.544299 0.198109i 0.0199416 0.00725814i
\(746\) 5.61933 + 6.69686i 0.205738 + 0.245189i
\(747\) 3.21636 12.3258i 0.117681 0.450976i
\(748\) 3.77468 6.53793i 0.138016 0.239050i
\(749\) 2.22918 0.0814526
\(750\) 0.480841 0.0225708i 0.0175578 0.000824167i
\(751\) −16.4991 + 19.6629i −0.602061 + 0.717509i −0.977876 0.209186i \(-0.932918\pi\)
0.375815 + 0.926695i \(0.377363\pi\)
\(752\) 33.0763 + 19.0966i 1.20617 + 0.696382i
\(753\) 35.5248 + 11.0732i 1.29459 + 0.403531i
\(754\) −2.61759 + 3.11952i −0.0953271 + 0.113606i
\(755\) −0.333168 + 0.279561i −0.0121252 + 0.0101743i
\(756\) −1.48625 0.0502778i −0.0540546 0.00182859i
\(757\) 2.62865 + 14.9078i 0.0955399 + 0.541834i 0.994581 + 0.103969i \(0.0331542\pi\)
−0.899041 + 0.437865i \(0.855735\pi\)
\(758\) 6.88920 + 8.21022i 0.250227 + 0.298209i
\(759\) 15.2309 3.42895i 0.552848 0.124463i
\(760\) 0.395292 + 0.258505i 0.0143388 + 0.00937695i
\(761\) 11.9493 6.89891i 0.433161 0.250085i −0.267532 0.963549i \(-0.586208\pi\)
0.700692 + 0.713464i \(0.252875\pi\)
\(762\) 5.52771 + 4.21289i 0.200248 + 0.152617i
\(763\) −0.533488 + 1.46575i −0.0193136 + 0.0530636i
\(764\) 2.07328 2.47083i 0.0750085 0.0893916i
\(765\) −0.593521 + 0.0558430i −0.0214588 + 0.00201901i
\(766\) −0.463953 + 2.63121i −0.0167633 + 0.0950695i
\(767\) 5.70492 3.29374i 0.205993 0.118930i
\(768\) −4.28297 + 13.7405i −0.154548 + 0.495816i
\(769\) 13.7525 + 11.5397i 0.495928 + 0.416133i 0.856145 0.516736i \(-0.172853\pi\)
−0.360217 + 0.932868i \(0.617297\pi\)
\(770\) 0.00555640 + 0.00466237i 0.0