Properties

Label 441.2.bn.a.5.9
Level $441$
Weight $2$
Character 441.5
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.bn (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 5.9
Character \(\chi\) \(=\) 441.5
Dual form 441.2.bn.a.353.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.53265 + 1.22225i) q^{2} +(-0.923591 + 1.46526i) q^{3} +(0.410090 - 1.79672i) q^{4} +(-2.34879 - 1.60137i) q^{5} +(-0.375366 - 3.37459i) q^{6} +(1.90530 - 1.83571i) q^{7} +(-0.133600 - 0.277423i) q^{8} +(-1.29396 - 2.70660i) q^{9} +O(q^{10})\) \(q+(-1.53265 + 1.22225i) q^{2} +(-0.923591 + 1.46526i) q^{3} +(0.410090 - 1.79672i) q^{4} +(-2.34879 - 1.60137i) q^{5} +(-0.375366 - 3.37459i) q^{6} +(1.90530 - 1.83571i) q^{7} +(-0.133600 - 0.277423i) q^{8} +(-1.29396 - 2.70660i) q^{9} +(5.55716 - 0.416451i) q^{10} +(0.672165 + 4.45952i) q^{11} +(2.25390 + 2.26032i) q^{12} +(0.0584494 + 0.387787i) q^{13} +(-0.676465 + 5.14226i) q^{14} +(4.51574 - 1.96256i) q^{15} +(3.86468 + 1.86113i) q^{16} +(2.84942 - 2.64387i) q^{17} +(5.29133 + 2.56674i) q^{18} +(-0.0365749 - 0.0211165i) q^{19} +(-3.84044 + 3.56340i) q^{20} +(0.930072 + 4.48720i) q^{21} +(-6.48085 - 6.01335i) q^{22} +(1.87838 + 6.08955i) q^{23} +(0.529888 + 0.0604673i) q^{24} +(1.12569 + 2.86820i) q^{25} +(-0.563555 - 0.522903i) q^{26} +(5.16095 + 0.603808i) q^{27} +(-2.51692 - 4.17610i) q^{28} +(-4.59365 - 4.95078i) q^{29} +(-4.52233 + 8.52730i) q^{30} +1.77083i q^{31} +(-7.59760 + 1.73410i) q^{32} +(-7.15515 - 3.13388i) q^{33} +(-1.13570 + 7.53485i) q^{34} +(-7.41480 + 1.26059i) q^{35} +(-5.39364 + 1.21493i) q^{36} +(8.45139 + 2.60691i) q^{37} +(0.0818664 - 0.0123394i) q^{38} +(-0.622191 - 0.272513i) q^{39} +(-0.130461 + 0.865552i) q^{40} +(0.629777 - 8.40379i) q^{41} +(-6.90996 - 5.74055i) q^{42} +(0.291648 + 3.89177i) q^{43} +(8.28817 + 0.621112i) q^{44} +(-1.29505 + 8.42933i) q^{45} +(-10.3219 - 7.03732i) q^{46} +(2.66215 + 3.33823i) q^{47} +(-6.29643 + 3.94383i) q^{48} +(0.260329 - 6.99516i) q^{49} +(-5.23095 - 3.02009i) q^{50} +(1.24226 + 6.61699i) q^{51} +(0.720714 + 0.0540100i) q^{52} +(3.54259 + 11.4848i) q^{53} +(-8.64796 + 5.38255i) q^{54} +(5.56260 - 11.5509i) q^{55} +(-0.763817 - 0.283323i) q^{56} +(0.0647214 - 0.0340886i) q^{57} +(13.0916 + 1.97324i) q^{58} +(9.66351 + 4.65370i) q^{59} +(-1.67431 - 8.91836i) q^{60} +(7.22630 - 1.64936i) q^{61} +(-2.16440 - 2.71407i) q^{62} +(-7.43391 - 2.78154i) q^{63} +(4.17610 - 5.23666i) q^{64} +(0.483707 - 1.00443i) q^{65} +(14.7968 - 3.94224i) q^{66} -5.14062 q^{67} +(-3.58179 - 6.20384i) q^{68} +(-10.6576 - 2.87195i) q^{69} +(9.82356 - 10.9948i) q^{70} +(8.76986 + 2.00166i) q^{71} +(-0.578000 + 0.720576i) q^{72} +(-1.99027 + 13.2046i) q^{73} +(-16.1393 + 6.33423i) q^{74} +(-5.24233 - 0.999627i) q^{75} +(-0.0529395 + 0.0570552i) q^{76} +(9.46707 + 7.26282i) q^{77} +(1.28668 - 0.342805i) q^{78} -4.77660 q^{79} +(-6.09694 - 10.5602i) q^{80} +(-5.65134 + 7.00445i) q^{81} +(9.30632 + 13.6499i) q^{82} +(10.3650 + 1.56228i) q^{83} +(8.44366 + 0.169076i) q^{84} +(-10.9265 + 1.64691i) q^{85} +(-5.20371 - 5.60827i) q^{86} +(11.4968 - 2.15839i) q^{87} +(1.14737 - 0.782267i) q^{88} +(-3.10566 - 7.91309i) q^{89} +(-8.31790 - 14.5021i) q^{90} +(0.823228 + 0.631553i) q^{91} +(11.7115 - 0.877657i) q^{92} +(-2.59472 - 1.63552i) q^{93} +(-8.16032 - 1.86254i) q^{94} +(0.0520911 + 0.108168i) q^{95} +(4.47617 - 12.7340i) q^{96} +(10.9171 - 6.30297i) q^{97} +(8.15084 + 11.0393i) q^{98} +(11.2004 - 7.58972i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 21 q^{2} - 11 q^{3} + 99 q^{4} - 18 q^{5} - 34 q^{6} - 5 q^{7} - 23 q^{9} + O(q^{10}) \) \( 648 q - 21 q^{2} - 11 q^{3} + 99 q^{4} - 18 q^{5} - 34 q^{6} - 5 q^{7} - 23 q^{9} - 22 q^{10} - 18 q^{11} - 72 q^{12} - 4 q^{13} + 66 q^{14} - 10 q^{15} - 105 q^{16} - 9 q^{17} - 27 q^{18} - 36 q^{19} - 27 q^{20} - 11 q^{21} - 9 q^{22} - 27 q^{23} - 8 q^{24} + 38 q^{25} + 6 q^{26} - 29 q^{27} - 26 q^{28} + 3 q^{29} - 16 q^{30} - 21 q^{32} - 11 q^{33} - 13 q^{34} + 28 q^{36} - 13 q^{37} - 90 q^{38} - 15 q^{39} - 31 q^{40} - 27 q^{41} - 4 q^{42} - 9 q^{43} + 51 q^{44} - 11 q^{45} - 108 q^{46} + 75 q^{47} - 15 q^{48} - 13 q^{49} - 45 q^{50} - 38 q^{51} + 64 q^{52} - 12 q^{53} - 41 q^{54} + 14 q^{55} + 3 q^{56} - 7 q^{57} - 90 q^{58} + 15 q^{59} - 69 q^{60} - 56 q^{61} + 66 q^{62} + 13 q^{63} + 64 q^{64} - 21 q^{65} - 204 q^{66} - 26 q^{67} + 3 q^{68} + 58 q^{69} - 22 q^{70} - 63 q^{71} - 18 q^{72} - 22 q^{73} - 12 q^{74} + 118 q^{75} - 63 q^{76} - 69 q^{77} - 147 q^{78} - 2 q^{79} - 45 q^{80} + 29 q^{81} - 28 q^{82} - 51 q^{83} - 31 q^{84} - 10 q^{85} - 72 q^{86} - 67 q^{87} + 4 q^{88} + 132 q^{89} + 58 q^{90} - 13 q^{91} - 15 q^{92} + 217 q^{93} - 7 q^{94} - 21 q^{95} - 44 q^{96} + 3 q^{97} + 21 q^{98} - 148 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{29}{42}\right)\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.53265 + 1.22225i −1.08375 + 0.864262i −0.991322 0.131457i \(-0.958034\pi\)
−0.0924284 + 0.995719i \(0.529463\pi\)
\(3\) −0.923591 + 1.46526i −0.533236 + 0.845967i
\(4\) 0.410090 1.79672i 0.205045 0.898360i
\(5\) −2.34879 1.60137i −1.05041 0.716157i −0.0903373 0.995911i \(-0.528795\pi\)
−0.960072 + 0.279755i \(0.909747\pi\)
\(6\) −0.375366 3.37459i −0.153243 1.37767i
\(7\) 1.90530 1.83571i 0.720135 0.693834i
\(8\) −0.133600 0.277423i −0.0472347 0.0980840i
\(9\) −1.29396 2.70660i −0.431319 0.902199i
\(10\) 5.55716 0.416451i 1.75733 0.131694i
\(11\) 0.672165 + 4.45952i 0.202665 + 1.34460i 0.826454 + 0.563004i \(0.190354\pi\)
−0.623789 + 0.781593i \(0.714408\pi\)
\(12\) 2.25390 + 2.26032i 0.650646 + 0.652499i
\(13\) 0.0584494 + 0.387787i 0.0162110 + 0.107553i 0.995473 0.0950454i \(-0.0302996\pi\)
−0.979262 + 0.202598i \(0.935062\pi\)
\(14\) −0.676465 + 5.14226i −0.180793 + 1.37433i
\(15\) 4.51574 1.96256i 1.16596 0.506731i
\(16\) 3.86468 + 1.86113i 0.966171 + 0.465283i
\(17\) 2.84942 2.64387i 0.691086 0.641234i −0.254324 0.967119i \(-0.581853\pi\)
0.945409 + 0.325885i \(0.105662\pi\)
\(18\) 5.29133 + 2.56674i 1.24718 + 0.604986i
\(19\) −0.0365749 0.0211165i −0.00839086 0.00484446i 0.495799 0.868437i \(-0.334875\pi\)
−0.504190 + 0.863593i \(0.668209\pi\)
\(20\) −3.84044 + 3.56340i −0.858748 + 0.796801i
\(21\) 0.930072 + 4.48720i 0.202958 + 0.979187i
\(22\) −6.48085 6.01335i −1.38172 1.28205i
\(23\) 1.87838 + 6.08955i 0.391669 + 1.26976i 0.910011 + 0.414585i \(0.136073\pi\)
−0.518342 + 0.855173i \(0.673451\pi\)
\(24\) 0.529888 + 0.0604673i 0.108163 + 0.0123428i
\(25\) 1.12569 + 2.86820i 0.225137 + 0.573641i
\(26\) −0.563555 0.522903i −0.110522 0.102550i
\(27\) 5.16095 + 0.603808i 0.993225 + 0.116203i
\(28\) −2.51692 4.17610i −0.475653 0.789208i
\(29\) −4.59365 4.95078i −0.853020 0.919337i 0.144515 0.989503i \(-0.453838\pi\)
−0.997535 + 0.0701657i \(0.977647\pi\)
\(30\) −4.52233 + 8.52730i −0.825662 + 1.55686i
\(31\) 1.77083i 0.318050i 0.987275 + 0.159025i \(0.0508351\pi\)
−0.987275 + 0.159025i \(0.949165\pi\)
\(32\) −7.59760 + 1.73410i −1.34308 + 0.306549i
\(33\) −7.15515 3.13388i −1.24555 0.545539i
\(34\) −1.13570 + 7.53485i −0.194770 + 1.29222i
\(35\) −7.41480 + 1.26059i −1.25333 + 0.213079i
\(36\) −5.39364 + 1.21493i −0.898940 + 0.202489i
\(37\) 8.45139 + 2.60691i 1.38940 + 0.428573i 0.897090 0.441847i \(-0.145677\pi\)
0.492309 + 0.870420i \(0.336153\pi\)
\(38\) 0.0818664 0.0123394i 0.0132805 0.00200171i
\(39\) −0.622191 0.272513i −0.0996302 0.0436370i
\(40\) −0.130461 + 0.865552i −0.0206277 + 0.136856i
\(41\) 0.629777 8.40379i 0.0983547 1.31245i −0.701677 0.712495i \(-0.747565\pi\)
0.800032 0.599957i \(-0.204816\pi\)
\(42\) −6.90996 5.74055i −1.06623 0.885785i
\(43\) 0.291648 + 3.89177i 0.0444759 + 0.593489i 0.974266 + 0.225400i \(0.0723688\pi\)
−0.929790 + 0.368089i \(0.880012\pi\)
\(44\) 8.28817 + 0.621112i 1.24949 + 0.0936362i
\(45\) −1.29505 + 8.42933i −0.193054 + 1.25657i
\(46\) −10.3219 7.03732i −1.52187 1.03760i
\(47\) 2.66215 + 3.33823i 0.388315 + 0.486932i 0.937114 0.349023i \(-0.113486\pi\)
−0.548799 + 0.835954i \(0.684915\pi\)
\(48\) −6.29643 + 3.94383i −0.908811 + 0.569243i
\(49\) 0.260329 6.99516i 0.0371898 0.999308i
\(50\) −5.23095 3.02009i −0.739769 0.427106i
\(51\) 1.24226 + 6.61699i 0.173951 + 0.926564i
\(52\) 0.720714 + 0.0540100i 0.0999450 + 0.00748985i
\(53\) 3.54259 + 11.4848i 0.486613 + 1.57756i 0.782700 + 0.622399i \(0.213842\pi\)
−0.296088 + 0.955161i \(0.595682\pi\)
\(54\) −8.64796 + 5.38255i −1.17684 + 0.732472i
\(55\) 5.56260 11.5509i 0.750060 1.55752i
\(56\) −0.763817 0.283323i −0.102069 0.0378607i
\(57\) 0.0647214 0.0340886i 0.00857256 0.00451514i
\(58\) 13.0916 + 1.97324i 1.71901 + 0.259099i
\(59\) 9.66351 + 4.65370i 1.25808 + 0.605860i 0.939667 0.342092i \(-0.111135\pi\)
0.318415 + 0.947952i \(0.396850\pi\)
\(60\) −1.67431 8.91836i −0.216153 1.15135i
\(61\) 7.22630 1.64936i 0.925233 0.211178i 0.266743 0.963768i \(-0.414053\pi\)
0.658490 + 0.752589i \(0.271195\pi\)
\(62\) −2.16440 2.71407i −0.274879 0.344687i
\(63\) −7.43391 2.78154i −0.936585 0.350442i
\(64\) 4.17610 5.23666i 0.522013 0.654583i
\(65\) 0.483707 1.00443i 0.0599964 0.124584i
\(66\) 14.7968 3.94224i 1.82136 0.485256i
\(67\) −5.14062 −0.628027 −0.314013 0.949419i \(-0.601674\pi\)
−0.314013 + 0.949419i \(0.601674\pi\)
\(68\) −3.58179 6.20384i −0.434355 0.752326i
\(69\) −10.6576 2.87195i −1.28302 0.345742i
\(70\) 9.82356 10.9948i 1.17414 1.31413i
\(71\) 8.76986 + 2.00166i 1.04079 + 0.237554i 0.708564 0.705646i \(-0.249343\pi\)
0.332226 + 0.943200i \(0.392200\pi\)
\(72\) −0.578000 + 0.720576i −0.0681180 + 0.0849207i
\(73\) −1.99027 + 13.2046i −0.232944 + 1.54548i 0.500504 + 0.865734i \(0.333148\pi\)
−0.733447 + 0.679746i \(0.762090\pi\)
\(74\) −16.1393 + 6.33423i −1.87616 + 0.736339i
\(75\) −5.24233 0.999627i −0.605332 0.115427i
\(76\) −0.0529395 + 0.0570552i −0.00607258 + 0.00654468i
\(77\) 9.46707 + 7.26282i 1.07887 + 0.827676i
\(78\) 1.28668 0.342805i 0.145688 0.0388150i
\(79\) −4.77660 −0.537409 −0.268705 0.963223i \(-0.586596\pi\)
−0.268705 + 0.963223i \(0.586596\pi\)
\(80\) −6.09694 10.5602i −0.681659 1.18067i
\(81\) −5.65134 + 7.00445i −0.627927 + 0.778272i
\(82\) 9.30632 + 13.6499i 1.02771 + 1.50737i
\(83\) 10.3650 + 1.56228i 1.13771 + 0.171482i 0.690765 0.723079i \(-0.257274\pi\)
0.446945 + 0.894561i \(0.352512\pi\)
\(84\) 8.44366 + 0.169076i 0.921279 + 0.0184477i
\(85\) −10.9265 + 1.64691i −1.18515 + 0.178632i
\(86\) −5.20371 5.60827i −0.561131 0.604755i
\(87\) 11.4968 2.15839i 1.23259 0.231403i
\(88\) 1.14737 0.782267i 0.122311 0.0833899i
\(89\) −3.10566 7.91309i −0.329199 0.838786i −0.995644 0.0932318i \(-0.970280\pi\)
0.666445 0.745554i \(-0.267815\pi\)
\(90\) −8.31790 14.5021i −0.876783 1.52866i
\(91\) 0.823228 + 0.631553i 0.0862977 + 0.0662048i
\(92\) 11.7115 0.877657i 1.22101 0.0915021i
\(93\) −2.59472 1.63552i −0.269060 0.169596i
\(94\) −8.16032 1.86254i −0.841673 0.192106i
\(95\) 0.0520911 + 0.108168i 0.00534444 + 0.0110978i
\(96\) 4.47617 12.7340i 0.456847 1.29966i
\(97\) 10.9171 6.30297i 1.10846 0.639970i 0.170030 0.985439i \(-0.445613\pi\)
0.938430 + 0.345469i \(0.112280\pi\)
\(98\) 8.15084 + 11.0393i 0.823360 + 1.11514i
\(99\) 11.2004 7.58972i 1.12568 0.762795i
\(100\) 5.61499 0.846324i 0.561499 0.0846324i
\(101\) 0.826606 11.0303i 0.0822504 1.09756i −0.791496 0.611174i \(-0.790698\pi\)
0.873747 0.486381i \(-0.161683\pi\)
\(102\) −9.99158 8.62321i −0.989313 0.853825i
\(103\) 5.67813 8.32828i 0.559482 0.820610i −0.437420 0.899257i \(-0.644108\pi\)
0.996902 + 0.0786474i \(0.0250601\pi\)
\(104\) 0.0997722 0.0680236i 0.00978347 0.00667026i
\(105\) 5.00115 12.0289i 0.488062 1.17390i
\(106\) −19.4669 13.2723i −1.89079 1.28912i
\(107\) 9.46955 3.71652i 0.915456 0.359290i 0.139606 0.990207i \(-0.455417\pi\)
0.775850 + 0.630917i \(0.217321\pi\)
\(108\) 3.20133 9.02517i 0.308048 0.868448i
\(109\) −1.31530 + 3.35134i −0.125983 + 0.321000i −0.979924 0.199369i \(-0.936111\pi\)
0.853941 + 0.520370i \(0.174206\pi\)
\(110\) 5.59250 + 24.5024i 0.533224 + 2.33621i
\(111\) −11.6254 + 9.97574i −1.10344 + 0.946855i
\(112\) 10.7799 3.54843i 1.01860 0.335295i
\(113\) 8.83921 3.46913i 0.831523 0.326349i 0.0888848 0.996042i \(-0.471670\pi\)
0.742638 + 0.669693i \(0.233574\pi\)
\(114\) −0.0575307 + 0.131352i −0.00538824 + 0.0123022i
\(115\) 5.33974 17.3110i 0.497934 1.61426i
\(116\) −10.7790 + 6.22325i −1.00080 + 0.577814i
\(117\) 0.973951 0.659979i 0.0900418 0.0610151i
\(118\) −20.4988 + 4.67872i −1.88707 + 0.430711i
\(119\) 0.575605 10.2681i 0.0527656 0.941273i
\(120\) −1.14776 0.990575i −0.104776 0.0904267i
\(121\) −8.92424 + 2.75276i −0.811294 + 0.250251i
\(122\) −9.05950 + 11.3602i −0.820208 + 1.02851i
\(123\) 11.7321 + 8.68446i 1.05784 + 0.783051i
\(124\) 3.18169 + 0.726199i 0.285724 + 0.0652146i
\(125\) −1.21378 + 5.31791i −0.108564 + 0.475648i
\(126\) 14.7934 4.82296i 1.31790 0.429663i
\(127\) 1.86518 + 8.17187i 0.165508 + 0.725137i 0.987756 + 0.156007i \(0.0498624\pi\)
−0.822248 + 0.569129i \(0.807280\pi\)
\(128\) 2.45574i 0.217058i
\(129\) −5.97180 3.16706i −0.525788 0.278844i
\(130\) 0.486307 + 2.13065i 0.0426520 + 0.186870i
\(131\) −0.449317 5.99572i −0.0392570 0.523848i −0.981819 0.189818i \(-0.939210\pi\)
0.942562 0.334030i \(-0.108409\pi\)
\(132\) −8.56497 + 11.5706i −0.745485 + 1.00710i
\(133\) −0.108450 + 0.0269076i −0.00940380 + 0.00233319i
\(134\) 7.87880 6.28313i 0.680624 0.542780i
\(135\) −11.1550 9.68283i −0.960073 0.833366i
\(136\) −1.11415 0.437274i −0.0955380 0.0374959i
\(137\) −0.720031 1.05609i −0.0615164 0.0902280i 0.794248 0.607594i \(-0.207865\pi\)
−0.855764 + 0.517366i \(0.826913\pi\)
\(138\) 19.8447 8.62457i 1.68929 0.734172i
\(139\) −12.2931 0.921242i −1.04269 0.0781387i −0.457640 0.889137i \(-0.651305\pi\)
−0.585048 + 0.810999i \(0.698924\pi\)
\(140\) −0.775799 + 13.8393i −0.0655670 + 1.16963i
\(141\) −7.35011 + 0.817575i −0.618991 + 0.0688523i
\(142\) −15.8877 + 7.65111i −1.33327 + 0.642067i
\(143\) −1.69006 + 0.521313i −0.141330 + 0.0435944i
\(144\) 0.0366006 12.8684i 0.00305005 1.07236i
\(145\) 2.86145 + 18.9845i 0.237631 + 1.57658i
\(146\) −13.0889 22.6707i −1.08325 1.87624i
\(147\) 10.0093 + 6.84212i 0.825551 + 0.564328i
\(148\) 8.14971 14.1157i 0.669902 1.16030i
\(149\) 6.80573 + 2.67105i 0.557547 + 0.218821i 0.627347 0.778740i \(-0.284141\pi\)
−0.0698000 + 0.997561i \(0.522236\pi\)
\(150\) 9.25648 4.87536i 0.755788 0.398072i
\(151\) −5.88921 5.46439i −0.479257 0.444686i 0.403177 0.915122i \(-0.367906\pi\)
−0.882434 + 0.470436i \(0.844097\pi\)
\(152\) −0.000971810 0.0129679i −7.88242e−5 0.00105184i
\(153\) −10.8429 4.29117i −0.876599 0.346920i
\(154\) −23.3867 + 0.439739i −1.88456 + 0.0354352i
\(155\) 2.83576 4.15930i 0.227774 0.334083i
\(156\) −0.744784 + 1.00615i −0.0596304 + 0.0805563i
\(157\) −5.81475 + 12.0744i −0.464067 + 0.963646i 0.529276 + 0.848450i \(0.322464\pi\)
−0.993343 + 0.115196i \(0.963251\pi\)
\(158\) 7.32087 5.83820i 0.582418 0.464462i
\(159\) −20.1001 5.41646i −1.59404 0.429553i
\(160\) 20.6221 + 8.09357i 1.63032 + 0.639853i
\(161\) 14.7575 + 8.15425i 1.16306 + 0.642645i
\(162\) 0.100361 17.6428i 0.00788510 1.38615i
\(163\) 3.89073 2.65265i 0.304745 0.207772i −0.401285 0.915953i \(-0.631436\pi\)
0.706031 + 0.708181i \(0.250484\pi\)
\(164\) −14.8410 4.57784i −1.15889 0.357470i
\(165\) 11.7874 + 18.8189i 0.917648 + 1.46505i
\(166\) −17.7955 + 10.2742i −1.38120 + 0.797436i
\(167\) −13.7903 4.25376i −1.06713 0.329166i −0.289038 0.957318i \(-0.593335\pi\)
−0.778091 + 0.628152i \(0.783812\pi\)
\(168\) 1.12060 0.857514i 0.0864559 0.0661586i
\(169\) 12.2755 3.78649i 0.944268 0.291268i
\(170\) 14.7336 15.8791i 1.13002 1.21787i
\(171\) −0.00982755 + 0.126317i −0.000751532 + 0.00965974i
\(172\) 7.11202 + 1.07196i 0.542287 + 0.0817365i
\(173\) −2.42255 + 10.6139i −0.184183 + 0.806958i 0.795427 + 0.606049i \(0.207247\pi\)
−0.979610 + 0.200909i \(0.935611\pi\)
\(174\) −14.9826 + 17.3601i −1.13583 + 1.31606i
\(175\) 7.40996 + 3.39835i 0.560141 + 0.256891i
\(176\) −5.70206 + 18.4856i −0.429809 + 1.39341i
\(177\) −15.7440 + 9.86141i −1.18339 + 0.741229i
\(178\) 14.4317 + 8.33213i 1.08170 + 0.624520i
\(179\) 14.8873 + 16.0447i 1.11273 + 1.19924i 0.978055 + 0.208348i \(0.0668086\pi\)
0.134675 + 0.990890i \(0.457001\pi\)
\(180\) 14.6141 + 5.78362i 1.08927 + 0.431086i
\(181\) −0.430793 0.343546i −0.0320206 0.0255356i 0.607349 0.794435i \(-0.292233\pi\)
−0.639369 + 0.768900i \(0.720805\pi\)
\(182\) −2.03364 + 0.0382384i −0.150743 + 0.00283442i
\(183\) −4.25742 + 12.1117i −0.314717 + 0.895324i
\(184\) 1.43843 1.33467i 0.106043 0.0983931i
\(185\) −15.6759 19.6569i −1.15251 1.44520i
\(186\) 5.97583 0.664709i 0.438169 0.0487388i
\(187\) 13.7057 + 10.9299i 1.00226 + 0.799276i
\(188\) 7.08960 3.41417i 0.517062 0.249004i
\(189\) 10.9416 8.32358i 0.795882 0.605451i
\(190\) −0.212047 0.102116i −0.0153835 0.00740829i
\(191\) −9.13362 18.9662i −0.660885 1.37234i −0.914321 0.404990i \(-0.867275\pi\)
0.253436 0.967352i \(-0.418439\pi\)
\(192\) 3.81605 + 10.9556i 0.275400 + 0.790652i
\(193\) −16.9108 + 8.14383i −1.21727 + 0.586206i −0.928550 0.371208i \(-0.878944\pi\)
−0.288719 + 0.957414i \(0.593229\pi\)
\(194\) −9.02828 + 23.0037i −0.648193 + 1.65157i
\(195\) 1.02500 + 1.63644i 0.0734016 + 0.117188i
\(196\) −12.4616 3.33638i −0.890113 0.238313i
\(197\) 12.2750i 0.874555i 0.899327 + 0.437278i \(0.144057\pi\)
−0.899327 + 0.437278i \(0.855943\pi\)
\(198\) −7.88977 + 25.3221i −0.560702 + 1.79956i
\(199\) 4.45995 6.54154i 0.316157 0.463718i −0.634961 0.772544i \(-0.718984\pi\)
0.951118 + 0.308826i \(0.0999362\pi\)
\(200\) 0.645315 0.695484i 0.0456307 0.0491781i
\(201\) 4.74783 7.53233i 0.334886 0.531290i
\(202\) 12.2149 + 17.9160i 0.859437 + 1.26056i
\(203\) −17.8405 1.00010i −1.25216 0.0701931i
\(204\) 12.3983 + 0.481570i 0.868056 + 0.0337166i
\(205\) −14.9368 + 18.7302i −1.04323 + 1.30817i
\(206\) 1.47665 + 19.7045i 0.102883 + 1.37288i
\(207\) 14.0514 12.9636i 0.976641 0.901035i
\(208\) −0.495834 + 1.60745i −0.0343799 + 0.111457i
\(209\) 0.0695853 0.177300i 0.00481331 0.0122641i
\(210\) 7.03726 + 24.5488i 0.485617 + 1.69402i
\(211\) −0.980563 2.49843i −0.0675047 0.171999i 0.893140 0.449778i \(-0.148497\pi\)
−0.960645 + 0.277779i \(0.910402\pi\)
\(212\) 22.0878 1.65525i 1.51699 0.113683i
\(213\) −11.0327 + 11.0014i −0.755949 + 0.753802i
\(214\) −9.97102 + 17.2703i −0.681605 + 1.18057i
\(215\) 5.54716 9.60797i 0.378313 0.655258i
\(216\) −0.521993 1.51244i −0.0355171 0.102908i
\(217\) 3.25073 + 3.37396i 0.220674 + 0.229039i
\(218\) −2.08027 6.74408i −0.140894 0.456767i
\(219\) −17.5099 15.1119i −1.18321 1.02117i
\(220\) −18.4725 14.7313i −1.24542 0.993185i
\(221\) 1.19181 + 0.950434i 0.0801696 + 0.0639331i
\(222\) 5.62489 29.4985i 0.377518 1.97981i
\(223\) −0.725177 2.35097i −0.0485614 0.157432i 0.928044 0.372470i \(-0.121489\pi\)
−0.976606 + 0.215037i \(0.931013\pi\)
\(224\) −11.2924 + 17.2510i −0.754505 + 1.15263i
\(225\) 6.30648 6.75812i 0.420432 0.450541i
\(226\) −9.30730 + 16.1207i −0.619112 + 1.07233i
\(227\) 12.9008 22.3449i 0.856259 1.48308i −0.0192137 0.999815i \(-0.506116\pi\)
0.875472 0.483268i \(-0.160550\pi\)
\(228\) −0.0347061 0.130266i −0.00229847 0.00862705i
\(229\) −4.28960 + 0.321461i −0.283465 + 0.0212428i −0.215704 0.976459i \(-0.569205\pi\)
−0.0677611 + 0.997702i \(0.521586\pi\)
\(230\) 12.9744 + 33.0583i 0.855509 + 2.17980i
\(231\) −19.3856 + 7.16381i −1.27548 + 0.471344i
\(232\) −0.759750 + 1.93581i −0.0498800 + 0.127092i
\(233\) 1.63962 5.31551i 0.107415 0.348231i −0.885869 0.463936i \(-0.846437\pi\)
0.993284 + 0.115705i \(0.0369129\pi\)
\(234\) −0.686071 + 2.20193i −0.0448499 + 0.143945i
\(235\) −0.907062 12.1039i −0.0591702 0.789572i
\(236\) 12.3243 15.4542i 0.802244 1.00598i
\(237\) 4.41163 6.99895i 0.286566 0.454630i
\(238\) 11.6680 + 16.4410i 0.756322 + 1.06571i
\(239\) 13.0323 + 19.1148i 0.842987 + 1.23643i 0.969652 + 0.244489i \(0.0786202\pi\)
−0.126665 + 0.991946i \(0.540427\pi\)
\(240\) 21.1045 + 0.819731i 1.36229 + 0.0529134i
\(241\) 11.3181 12.1980i 0.729063 0.785743i −0.254352 0.967112i \(-0.581862\pi\)
0.983415 + 0.181368i \(0.0580526\pi\)
\(242\) 10.3132 15.1267i 0.662958 0.972381i
\(243\) −5.04379 14.7499i −0.323559 0.946208i
\(244\) 13.6600i 0.874494i
\(245\) −11.8133 + 16.0132i −0.754726 + 1.02305i
\(246\) −28.5958 + 1.02926i −1.82320 + 0.0656231i
\(247\) 0.00605093 0.0154175i 0.000385011 0.000980992i
\(248\) 0.491269 0.236583i 0.0311956 0.0150230i
\(249\) −11.8622 + 13.7445i −0.751736 + 0.871024i
\(250\) −4.63952 9.63406i −0.293429 0.609311i
\(251\) −24.0796 11.5961i −1.51989 0.731941i −0.526878 0.849941i \(-0.676637\pi\)
−0.993014 + 0.118000i \(0.962352\pi\)
\(252\) −8.04623 + 12.2160i −0.506865 + 0.769534i
\(253\) −25.8939 + 12.4698i −1.62794 + 0.783972i
\(254\) −12.8468 10.2449i −0.806077 0.642825i
\(255\) 7.67849 17.5312i 0.480845 1.09785i
\(256\) 11.3537 + 14.2371i 0.709608 + 0.889820i
\(257\) 21.3462 19.8064i 1.33154 1.23549i 0.381117 0.924527i \(-0.375540\pi\)
0.950423 0.310961i \(-0.100651\pi\)
\(258\) 13.0237 2.44503i 0.810818 0.152221i
\(259\) 20.8879 10.5474i 1.29791 0.655381i
\(260\) −1.60631 1.28099i −0.0996193 0.0794437i
\(261\) −7.45578 + 18.8393i −0.461501 + 1.16612i
\(262\) 8.01692 + 8.64018i 0.495287 + 0.533792i
\(263\) −0.369384 0.213264i −0.0227772 0.0131504i 0.488568 0.872526i \(-0.337519\pi\)
−0.511345 + 0.859375i \(0.670853\pi\)
\(264\) 0.0865169 + 2.40369i 0.00532475 + 0.147937i
\(265\) 10.0707 32.6484i 0.618637 2.00557i
\(266\) 0.133328 0.173793i 0.00817489 0.0106559i
\(267\) 14.4631 + 2.75787i 0.885126 + 0.168779i
\(268\) −2.10812 + 9.23626i −0.128774 + 0.564194i
\(269\) −6.25846 0.943312i −0.381585 0.0575147i −0.0445510 0.999007i \(-0.514186\pi\)
−0.337034 + 0.941492i \(0.609424\pi\)
\(270\) 28.9317 + 1.20617i 1.76073 + 0.0734053i
\(271\) −11.2712 + 12.1475i −0.684677 + 0.737907i −0.975773 0.218787i \(-0.929790\pi\)
0.291095 + 0.956694i \(0.405980\pi\)
\(272\) 15.9327 4.91459i 0.966062 0.297991i
\(273\) −1.68571 + 0.622944i −0.102024 + 0.0377023i
\(274\) 2.39437 + 0.738564i 0.144649 + 0.0446183i
\(275\) −12.0342 + 6.94793i −0.725688 + 0.418976i
\(276\) −9.53066 + 17.9710i −0.573679 + 1.08173i
\(277\) −17.6725 5.45125i −1.06184 0.327534i −0.285846 0.958276i \(-0.592274\pi\)
−0.775993 + 0.630742i \(0.782751\pi\)
\(278\) 19.9671 13.6133i 1.19755 0.816473i
\(279\) 4.79292 2.29138i 0.286945 0.137181i
\(280\) 1.34034 + 1.88862i 0.0801004 + 0.112867i
\(281\) −15.0207 5.89518i −0.896059 0.351677i −0.127787 0.991802i \(-0.540788\pi\)
−0.768271 + 0.640124i \(0.778883\pi\)
\(282\) 10.2659 10.2367i 0.611326 0.609589i
\(283\) −6.63272 + 5.28942i −0.394274 + 0.314423i −0.800481 0.599358i \(-0.795423\pi\)
0.406207 + 0.913781i \(0.366851\pi\)
\(284\) 7.19286 14.9361i 0.426818 0.886296i
\(285\) −0.206605 0.0235764i −0.0122382 0.00139655i
\(286\) 1.95310 2.86467i 0.115489 0.169391i
\(287\) −14.2270 17.1678i −0.839795 1.01338i
\(288\) 14.5245 + 18.3198i 0.855864 + 1.07950i
\(289\) −0.141295 + 1.88546i −0.00831149 + 0.110909i
\(290\) −27.5894 25.5992i −1.62011 1.50324i
\(291\) −0.847433 + 21.8177i −0.0496774 + 1.27898i
\(292\) 22.9088 + 8.99103i 1.34063 + 0.526160i
\(293\) −9.21673 + 15.9638i −0.538447 + 0.932617i 0.460541 + 0.887638i \(0.347655\pi\)
−0.998988 + 0.0449789i \(0.985678\pi\)
\(294\) −23.7035 + 1.74724i −1.38242 + 0.101901i
\(295\) −15.2452 26.4054i −0.887609 1.53738i
\(296\) −0.405889 2.69289i −0.0235918 0.156521i
\(297\) 0.776314 + 23.4212i 0.0450463 + 1.35904i
\(298\) −13.6955 + 4.22451i −0.793360 + 0.244719i
\(299\) −2.25166 + 1.08434i −0.130217 + 0.0627090i
\(300\) −3.94588 + 9.00907i −0.227815 + 0.520139i
\(301\) 7.69984 + 6.87960i 0.443811 + 0.396534i
\(302\) 15.7050 + 1.17693i 0.903720 + 0.0677245i
\(303\) 15.3988 + 11.3987i 0.884637 + 0.654837i
\(304\) −0.102050 0.149679i −0.00585295 0.00858470i
\(305\) −19.6143 7.69803i −1.12311 0.440788i
\(306\) 21.8634 6.67591i 1.24984 0.381636i
\(307\) 20.0544 15.9928i 1.14456 0.912760i 0.147480 0.989065i \(-0.452884\pi\)
0.997085 + 0.0763050i \(0.0243123\pi\)
\(308\) 16.9316 14.0313i 0.964768 0.799506i
\(309\) 6.95881 + 16.0118i 0.395873 + 0.910882i
\(310\) 0.737464 + 9.84078i 0.0418852 + 0.558919i
\(311\) −0.105717 0.463177i −0.00599466 0.0262643i 0.971842 0.235633i \(-0.0757163\pi\)
−0.977837 + 0.209369i \(0.932859\pi\)
\(312\) 0.00752325 + 0.209018i 0.000425920 + 0.0118333i
\(313\) 12.9951i 0.734528i 0.930117 + 0.367264i \(0.119705\pi\)
−0.930117 + 0.367264i \(0.880295\pi\)
\(314\) −5.84601 25.6130i −0.329909 1.44543i
\(315\) 13.0064 + 18.4377i 0.732826 + 1.03885i
\(316\) −1.95883 + 8.58221i −0.110193 + 0.482787i
\(317\) 3.73642 + 0.852814i 0.209858 + 0.0478988i 0.326158 0.945315i \(-0.394246\pi\)
−0.116299 + 0.993214i \(0.537103\pi\)
\(318\) 37.4268 16.2658i 2.09879 0.912142i
\(319\) 18.9904 23.8132i 1.06326 1.33329i
\(320\) −18.1946 + 5.61230i −1.01711 + 0.313737i
\(321\) −3.30033 + 17.3079i −0.184206 + 0.966031i
\(322\) −32.5847 + 5.53974i −1.81588 + 0.308718i
\(323\) −0.160047 + 0.0365296i −0.00890523 + 0.00203256i
\(324\) 10.2675 + 13.0263i 0.570416 + 0.723686i
\(325\) −1.04646 + 0.604171i −0.0580469 + 0.0335134i
\(326\) −2.72093 + 8.82105i −0.150699 + 0.488553i
\(327\) −3.69577 5.02253i −0.204377 0.277746i
\(328\) −2.41555 + 0.948032i −0.133376 + 0.0523463i
\(329\) 11.2002 + 1.47339i 0.617489 + 0.0812307i
\(330\) −41.0674 14.4357i −2.26069 0.794659i
\(331\) 4.92843 + 21.5928i 0.270891 + 1.18685i 0.908964 + 0.416874i \(0.136875\pi\)
−0.638073 + 0.769976i \(0.720268\pi\)
\(332\) 7.05757 17.9824i 0.387334 0.986912i
\(333\) −3.87989 26.2477i −0.212617 1.43837i
\(334\) 26.3350 10.3357i 1.44099 0.565546i
\(335\) 12.0742 + 8.23206i 0.659685 + 0.449766i
\(336\) −4.75684 + 19.0726i −0.259507 + 1.04050i
\(337\) −0.877631 + 0.598359i −0.0478076 + 0.0325947i −0.586988 0.809596i \(-0.699686\pi\)
0.539180 + 0.842190i \(0.318734\pi\)
\(338\) −14.1860 + 20.8071i −0.771619 + 1.13176i
\(339\) −3.08064 + 16.1558i −0.167317 + 0.877461i
\(340\) −1.52182 + 20.3073i −0.0825322 + 1.10132i
\(341\) −7.89705 + 1.19029i −0.427649 + 0.0644578i
\(342\) −0.139329 0.205613i −0.00753407 0.0111183i
\(343\) −12.3451 13.8058i −0.666572 0.745441i
\(344\) 1.04070 0.600850i 0.0561109 0.0323957i
\(345\) 20.4334 + 23.8124i 1.10010 + 1.28202i
\(346\) −9.25989 19.2284i −0.497815 1.03372i
\(347\) −30.7107 7.00952i −1.64864 0.376291i −0.705504 0.708706i \(-0.749279\pi\)
−0.943133 + 0.332415i \(0.892136\pi\)
\(348\) 0.836713 21.5417i 0.0448525 1.15476i
\(349\) −4.94187 + 0.370342i −0.264532 + 0.0198239i −0.206336 0.978481i \(-0.566154\pi\)
−0.0581962 + 0.998305i \(0.518535\pi\)
\(350\) −15.5106 + 3.84834i −0.829074 + 0.205703i
\(351\) 0.0675059 + 2.03664i 0.00360320 + 0.108708i
\(352\) −12.8401 32.7161i −0.684380 1.74377i
\(353\) −8.98886 + 6.12850i −0.478429 + 0.326187i −0.778408 0.627759i \(-0.783973\pi\)
0.299979 + 0.953946i \(0.403020\pi\)
\(354\) 12.0770 34.3572i 0.641885 1.82607i
\(355\) −17.3931 18.7453i −0.923130 0.994898i
\(356\) −15.4912 + 2.33492i −0.821032 + 0.123751i
\(357\) 14.5138 + 10.3269i 0.768149 + 0.546559i
\(358\) −42.4278 6.39496i −2.24238 0.337984i
\(359\) 0.699965 + 1.02666i 0.0369427 + 0.0541850i 0.844266 0.535925i \(-0.180037\pi\)
−0.807323 + 0.590110i \(0.799085\pi\)
\(360\) 2.51151 0.766882i 0.132368 0.0404183i
\(361\) −9.49911 16.4529i −0.499953 0.865944i
\(362\) 1.08016 0.0567718
\(363\) 4.20884 15.6187i 0.220907 0.819771i
\(364\) 1.47232 1.22012i 0.0771707 0.0639515i
\(365\) 25.8202 27.8276i 1.35149 1.45656i
\(366\) −8.27842 23.7667i −0.432720 1.24231i
\(367\) −1.55523 + 0.610385i −0.0811826 + 0.0318618i −0.405585 0.914057i \(-0.632932\pi\)
0.324402 + 0.945919i \(0.394837\pi\)
\(368\) −4.07413 + 27.0301i −0.212379 + 1.40904i
\(369\) −23.5606 + 9.16961i −1.22652 + 0.477351i
\(370\) 48.0513 + 10.9674i 2.49807 + 0.570168i
\(371\) 27.8325 + 15.3788i 1.44499 + 0.798428i
\(372\) −4.00264 + 3.99128i −0.207527 + 0.206938i
\(373\) −13.9083 24.0898i −0.720142 1.24732i −0.960942 0.276749i \(-0.910743\pi\)
0.240800 0.970575i \(-0.422590\pi\)
\(374\) −34.3652 −1.77698
\(375\) −6.67107 6.69007i −0.344493 0.345474i
\(376\) 0.570440 1.18453i 0.0294182 0.0610876i
\(377\) 1.65135 2.07073i 0.0850489 0.106648i
\(378\) −6.59614 + 26.1305i −0.339269 + 1.34401i
\(379\) 7.95364 + 9.97355i 0.408551 + 0.512307i 0.942954 0.332923i \(-0.108035\pi\)
−0.534403 + 0.845230i \(0.679464\pi\)
\(380\) 0.215710 0.0492345i 0.0110657 0.00252567i
\(381\) −13.6966 4.81451i −0.701696 0.246655i
\(382\) 37.1801 + 17.9050i 1.90230 + 0.916098i
\(383\) 7.19522 + 1.08450i 0.367658 + 0.0554156i 0.330273 0.943885i \(-0.392859\pi\)
0.0373851 + 0.999301i \(0.488097\pi\)
\(384\) 3.59829 + 2.26810i 0.183624 + 0.115743i
\(385\) −10.6056 32.2191i −0.540512 1.64204i
\(386\) 15.9647 33.1510i 0.812580 1.68734i
\(387\) 10.1561 5.82516i 0.516262 0.296109i
\(388\) −6.84770 22.1997i −0.347640 1.12702i
\(389\) 21.0044 + 1.57406i 1.06496 + 0.0798080i 0.595666 0.803232i \(-0.296888\pi\)
0.469298 + 0.883040i \(0.344507\pi\)
\(390\) −3.57110 1.25529i −0.180830 0.0635638i
\(391\) 21.4523 + 12.3855i 1.08489 + 0.626361i
\(392\) −1.97540 + 0.862332i −0.0997728 + 0.0435543i
\(393\) 9.20025 + 4.87923i 0.464091 + 0.246124i
\(394\) −15.0031 18.8133i −0.755845 0.947799i
\(395\) 11.2192 + 7.64913i 0.564500 + 0.384869i
\(396\) −9.04344 23.2364i −0.454450 1.16767i
\(397\) 20.5909 + 1.54308i 1.03343 + 0.0774447i 0.580629 0.814168i \(-0.302807\pi\)
0.452799 + 0.891613i \(0.350426\pi\)
\(398\) 1.15985 + 15.4771i 0.0581379 + 0.775797i
\(399\) 0.0607368 0.183759i 0.00304064 0.00919944i
\(400\) −0.987686 + 13.1798i −0.0493843 + 0.658988i
\(401\) 3.58390 23.7776i 0.178971 1.18740i −0.701279 0.712887i \(-0.747387\pi\)
0.880250 0.474510i \(-0.157375\pi\)
\(402\) 1.92962 + 17.3475i 0.0962405 + 0.865215i
\(403\) −0.686704 + 0.103504i −0.0342072 + 0.00515590i
\(404\) −19.4794 6.00859i −0.969135 0.298939i
\(405\) 24.4905 7.40203i 1.21694 0.367810i
\(406\) 28.5657 20.2727i 1.41769 1.00612i
\(407\) −5.94484 + 39.4414i −0.294675 + 1.95504i
\(408\) 1.66974 1.22866i 0.0826645 0.0608278i
\(409\) 4.29922 0.981268i 0.212583 0.0485206i −0.114903 0.993377i \(-0.536656\pi\)
0.327486 + 0.944856i \(0.393799\pi\)
\(410\) 46.9635i 2.31936i
\(411\) 2.21246 0.0796338i 0.109133 0.00392805i
\(412\) −12.6351 13.6173i −0.622484 0.670879i
\(413\) 26.9547 8.87272i 1.32635 0.436598i
\(414\) −5.69115 + 37.0431i −0.279705 + 1.82057i
\(415\) −21.8434 20.2678i −1.07225 0.994905i
\(416\) −1.11654 2.84489i −0.0547428 0.139482i
\(417\) 12.7037 17.1617i 0.622101 0.840413i
\(418\) 0.110055 + 0.356791i 0.00538299 + 0.0174512i
\(419\) 9.19322 + 8.53006i 0.449118 + 0.416721i 0.872032 0.489449i \(-0.162802\pi\)
−0.422914 + 0.906170i \(0.638993\pi\)
\(420\) −19.5616 13.9186i −0.954508 0.679157i
\(421\) −8.64660 + 8.02288i −0.421410 + 0.391011i −0.862174 0.506612i \(-0.830898\pi\)
0.440765 + 0.897623i \(0.354707\pi\)
\(422\) 4.55658 + 2.63074i 0.221811 + 0.128062i
\(423\) 5.59054 11.5249i 0.271822 0.560361i
\(424\) 2.71286 2.51717i 0.131748 0.122245i
\(425\) 10.7907 + 5.19654i 0.523427 + 0.252069i
\(426\) 3.46289 30.3461i 0.167778 1.47027i
\(427\) 10.7405 16.4079i 0.519770 0.794035i
\(428\) −2.79419 18.5382i −0.135062 0.896080i
\(429\) 0.797063 2.95785i 0.0384826 0.142806i
\(430\) 3.24146 + 21.5057i 0.156317 + 1.03710i
\(431\) −23.7349 + 1.77868i −1.14327 + 0.0856761i −0.632867 0.774260i \(-0.718122\pi\)
−0.510401 + 0.859937i \(0.670503\pi\)
\(432\) 18.8217 + 11.9387i 0.905558 + 0.574403i
\(433\) −8.45277 17.5524i −0.406214 0.843512i −0.999264 0.0383470i \(-0.987791\pi\)
0.593050 0.805165i \(-0.297924\pi\)
\(434\) −9.10607 1.19790i −0.437105 0.0575012i
\(435\) −30.4600 13.3411i −1.46044 0.639659i
\(436\) 5.48203 + 3.73758i 0.262542 + 0.178998i
\(437\) 0.0598887 0.262389i 0.00286486 0.0125518i
\(438\) 45.3072 + 1.75980i 2.16486 + 0.0840866i
\(439\) −7.26618 + 5.79459i −0.346796 + 0.276561i −0.781360 0.624080i \(-0.785474\pi\)
0.434564 + 0.900641i \(0.356902\pi\)
\(440\) −3.94764 −0.188196
\(441\) −19.2699 + 8.34684i −0.917616 + 0.397468i
\(442\) −2.98830 −0.142139
\(443\) −7.07880 + 5.64515i −0.336324 + 0.268209i −0.777059 0.629428i \(-0.783289\pi\)
0.440735 + 0.897637i \(0.354718\pi\)
\(444\) 13.1562 + 24.9786i 0.624363 + 1.18543i
\(445\) −5.37730 + 23.5595i −0.254908 + 1.11683i
\(446\) 3.98492 + 2.71687i 0.188691 + 0.128648i
\(447\) −10.1995 + 7.50518i −0.482419 + 0.354983i
\(448\) −1.65628 17.6435i −0.0782520 0.833578i
\(449\) 18.2739 + 37.9462i 0.862400 + 1.79079i 0.531254 + 0.847213i \(0.321721\pi\)
0.331146 + 0.943579i \(0.392565\pi\)
\(450\) −1.40554 + 18.0660i −0.0662578 + 0.851638i
\(451\) 37.9002 2.84023i 1.78465 0.133741i
\(452\) −2.60819 17.3042i −0.122679 0.813923i
\(453\) 13.4460 3.58235i 0.631746 0.168313i
\(454\) 7.53856 + 50.0151i 0.353802 + 2.34732i
\(455\) −0.922233 2.80168i −0.0432349 0.131345i
\(456\) −0.0181038 0.0134010i −0.000847786 0.000627559i
\(457\) 24.3429 + 11.7229i 1.13871 + 0.548375i 0.905625 0.424080i \(-0.139403\pi\)
0.233089 + 0.972456i \(0.425117\pi\)
\(458\) 6.18157 5.73566i 0.288846 0.268010i
\(459\) 16.3021 11.9244i 0.760917 0.556583i
\(460\) −28.9133 16.6931i −1.34809 0.778320i
\(461\) −30.5409 + 28.3378i −1.42243 + 1.31983i −0.546443 + 0.837496i \(0.684018\pi\)
−0.875990 + 0.482329i \(0.839791\pi\)
\(462\) 20.9555 34.6737i 0.974936 1.61317i
\(463\) 0.149500 + 0.138716i 0.00694786 + 0.00644667i 0.683639 0.729820i \(-0.260396\pi\)
−0.676691 + 0.736267i \(0.736587\pi\)
\(464\) −8.53895 27.6826i −0.396411 1.28513i
\(465\) 3.47536 + 7.99661i 0.161166 + 0.370834i
\(466\) 3.98392 + 10.1509i 0.184552 + 0.470230i
\(467\) −16.7220 15.5158i −0.773802 0.717984i 0.190818 0.981625i \(-0.438886\pi\)
−0.964621 + 0.263642i \(0.915076\pi\)
\(468\) −0.786390 2.02057i −0.0363509 0.0934009i
\(469\) −9.79442 + 9.43670i −0.452264 + 0.435746i
\(470\) 16.1842 + 17.4424i 0.746522 + 0.804560i
\(471\) −12.3217 19.6720i −0.567755 0.906436i
\(472\) 3.30262i 0.152015i
\(473\) −17.1594 + 3.91652i −0.788990 + 0.180082i
\(474\) 1.79297 + 16.1191i 0.0823540 + 0.740374i
\(475\) 0.0193946 0.128675i 0.000889886 0.00590401i
\(476\) −18.2128 5.24504i −0.834783 0.240406i
\(477\) 26.5008 24.4492i 1.21339 1.11945i
\(478\) −43.3371 13.3677i −1.98219 0.611425i
\(479\) 0.381212 0.0574585i 0.0174180 0.00262534i −0.140327 0.990105i \(-0.544816\pi\)
0.157745 + 0.987480i \(0.449577\pi\)
\(480\) −30.9055 + 22.7415i −1.41064 + 1.03800i
\(481\) −0.516945 + 3.42971i −0.0235707 + 0.156381i
\(482\) −2.43771 + 32.5289i −0.111034 + 1.48165i
\(483\) −25.5780 + 14.0924i −1.16384 + 0.641225i
\(484\) 1.28621 + 17.1632i 0.0584640 + 0.780147i
\(485\) −35.7353 2.67799i −1.62266 0.121601i
\(486\) 25.7585 + 16.4418i 1.16843 + 0.745813i
\(487\) −2.81554 1.91960i −0.127584 0.0869855i 0.497846 0.867265i \(-0.334124\pi\)
−0.625431 + 0.780280i \(0.715077\pi\)
\(488\) −1.42300 1.78439i −0.0644164 0.0807756i
\(489\) 0.293378 + 8.15089i 0.0132670 + 0.368596i
\(490\) −1.46645 38.9816i −0.0662477 1.76101i
\(491\) 0.415497 + 0.239887i 0.0187511 + 0.0108260i 0.509346 0.860562i \(-0.329887\pi\)
−0.490595 + 0.871388i \(0.663221\pi\)
\(492\) 20.4147 17.5178i 0.920368 0.789765i
\(493\) −26.1785 1.96181i −1.17902 0.0883553i
\(494\) 0.00957009 + 0.0310255i 0.000430579 + 0.00139590i
\(495\) −38.4613 0.109393i −1.72871 0.00491684i
\(496\) −3.29575 + 6.84369i −0.147983 + 0.307291i
\(497\) 20.3837 12.2852i 0.914333 0.551065i
\(498\) 1.38137 35.5642i 0.0619006 1.59367i
\(499\) 5.08167 + 0.765938i 0.227487 + 0.0342881i 0.261796 0.965123i \(-0.415685\pi\)
−0.0343096 + 0.999411i \(0.510923\pi\)
\(500\) 9.05704 + 4.36164i 0.405043 + 0.195059i
\(501\) 18.9695 16.2777i 0.847495 0.727233i
\(502\) 51.0791 11.6585i 2.27977 0.520343i
\(503\) 3.08683 + 3.87076i 0.137635 + 0.172589i 0.845872 0.533386i \(-0.179081\pi\)
−0.708237 + 0.705975i \(0.750509\pi\)
\(504\) 0.221505 + 2.43395i 0.00986663 + 0.108417i
\(505\) −19.6052 + 24.5841i −0.872418 + 1.09398i
\(506\) 24.4451 50.7608i 1.08672 2.25659i
\(507\) −5.78935 + 21.4839i −0.257114 + 0.954134i
\(508\) 15.4475 0.685370
\(509\) 0.899256 + 1.55756i 0.0398588 + 0.0690375i 0.885267 0.465084i \(-0.153976\pi\)
−0.845408 + 0.534121i \(0.820643\pi\)
\(510\) 9.65908 + 36.2543i 0.427711 + 1.60537i
\(511\) 20.4478 + 28.8123i 0.904556 + 1.27458i
\(512\) −30.0143 6.85058i −1.32646 0.302756i
\(513\) −0.176011 0.131066i −0.00777107 0.00578669i
\(514\) −8.50798 + 56.4468i −0.375271 + 2.48976i
\(515\) −26.6734 + 10.4685i −1.17537 + 0.461299i
\(516\) −8.13931 + 9.43088i −0.358313 + 0.415172i
\(517\) −13.0975 + 14.1158i −0.576029 + 0.620811i
\(518\) −19.1225 + 41.6958i −0.840193 + 1.83201i
\(519\) −13.3146 13.3525i −0.584447 0.586111i
\(520\) −0.343275 −0.0150536
\(521\) 7.82400 + 13.5516i 0.342776 + 0.593705i 0.984947 0.172856i \(-0.0552996\pi\)
−0.642171 + 0.766561i \(0.721966\pi\)
\(522\) −11.5992 37.9869i −0.507683 1.66264i
\(523\) −11.6131 17.0333i −0.507806 0.744815i 0.483649 0.875262i \(-0.339311\pi\)
−0.991455 + 0.130447i \(0.958359\pi\)
\(524\) −10.9569 1.65149i −0.478654 0.0721455i
\(525\) −11.8232 + 7.71882i −0.516008 + 0.336877i
\(526\) 0.826800 0.124620i 0.0360502 0.00543369i
\(527\) 4.68185 + 5.04583i 0.203945 + 0.219800i
\(528\) −21.8198 25.4282i −0.949586 1.10662i
\(529\) −14.5508 + 9.92056i −0.632643 + 0.431329i
\(530\) 24.4696 + 62.3476i 1.06289 + 2.70821i
\(531\) 0.0915185 32.1769i 0.00397157 1.39636i
\(532\) 0.00387131 + 0.205889i 0.000167843 + 0.00892641i
\(533\) 3.29569 0.246978i 0.142752 0.0106978i
\(534\) −25.5377 + 13.4506i −1.10512 + 0.582066i
\(535\) −28.1935 6.43498i −1.21891 0.278208i
\(536\) 0.686787 + 1.42613i 0.0296647 + 0.0615994i
\(537\) −37.2594 + 6.99499i −1.60786 + 0.301856i
\(538\) 10.7450 6.20364i 0.463251 0.267458i
\(539\) 31.3700 3.54096i 1.35120 0.152520i
\(540\) −21.9719 + 16.0717i −0.945521 + 0.691614i
\(541\) 23.6920 3.57099i 1.01860 0.153529i 0.381546 0.924350i \(-0.375392\pi\)
0.637052 + 0.770821i \(0.280154\pi\)
\(542\) 2.42760 32.3941i 0.104275 1.39145i
\(543\) 0.901260 0.313927i 0.0386768 0.0134719i
\(544\) −17.0640 + 25.0283i −0.731613 + 1.07308i
\(545\) 8.45612 5.76528i 0.362220 0.246958i
\(546\) 1.82222 3.01512i 0.0779840 0.129035i
\(547\) 5.48419 + 3.73905i 0.234487 + 0.159870i 0.674863 0.737943i \(-0.264203\pi\)
−0.440376 + 0.897813i \(0.645155\pi\)
\(548\) −2.19278 + 0.860602i −0.0936708 + 0.0367631i
\(549\) −13.8147 17.4245i −0.589596 0.743659i
\(550\) 9.95211 25.3576i 0.424359 1.08125i
\(551\) 0.0634691 + 0.278076i 0.00270387 + 0.0118464i
\(552\) 0.627111 + 3.34036i 0.0266916 + 0.142175i
\(553\) −9.10085 + 8.76846i −0.387007 + 0.372873i
\(554\) 33.7486 13.2454i 1.43384 0.562742i
\(555\) 43.2805 4.81422i 1.83716 0.204352i
\(556\) −6.69650 + 21.7095i −0.283995 + 0.920688i
\(557\) 8.44791 4.87740i 0.357949 0.206662i −0.310232 0.950661i \(-0.600407\pi\)
0.668181 + 0.743999i \(0.267073\pi\)
\(558\) −4.54525 + 9.37004i −0.192416 + 0.396666i
\(559\) −1.49213 + 0.340569i −0.0631103 + 0.0144045i
\(560\) −31.0020 8.92814i −1.31007 0.377283i
\(561\) −28.6736 + 9.98759i −1.21060 + 0.421676i
\(562\) 30.2269 9.32377i 1.27505 0.393299i
\(563\) 21.5964 27.0810i 0.910180 1.14133i −0.0793280 0.996849i \(-0.525277\pi\)
0.989508 0.144481i \(-0.0461511\pi\)
\(564\) −1.54525 + 13.5414i −0.0650669 + 0.570195i
\(565\) −26.3168 6.00663i −1.10716 0.252701i
\(566\) 3.70067 16.2137i 0.155551 0.681512i
\(567\) 2.09065 + 23.7198i 0.0877989 + 0.996138i
\(568\) −0.616345 2.70039i −0.0258613 0.113306i
\(569\) 46.8647i 1.96467i 0.187130 + 0.982335i \(0.440081\pi\)
−0.187130 + 0.982335i \(0.559919\pi\)
\(570\) 0.345471 0.216389i 0.0144702 0.00906354i
\(571\) 4.17720 + 18.3015i 0.174810 + 0.765895i 0.983974 + 0.178311i \(0.0570634\pi\)
−0.809164 + 0.587583i \(0.800079\pi\)
\(572\) 0.243580 + 3.25034i 0.0101846 + 0.135904i
\(573\) 36.2260 + 4.13387i 1.51336 + 0.172695i
\(574\) 42.7885 + 8.92335i 1.78596 + 0.372454i
\(575\) −15.3516 + 12.2425i −0.640206 + 0.510547i
\(576\) −19.5772 4.52700i −0.815719 0.188625i
\(577\) 3.09641 + 1.21525i 0.128905 + 0.0505915i 0.428917 0.903344i \(-0.358895\pi\)
−0.300012 + 0.953936i \(0.596991\pi\)
\(578\) −2.08794 3.06245i −0.0868470 0.127381i
\(579\) 3.68590 32.3003i 0.153181 1.34235i
\(580\) 35.2833 + 2.64412i 1.46506 + 0.109791i
\(581\) 22.6164 16.0506i 0.938285 0.665891i
\(582\) −25.3679 34.4748i −1.05153 1.42902i
\(583\) −48.8356 + 23.5180i −2.02256 + 0.974014i
\(584\) 3.92916 1.21199i 0.162590 0.0501523i
\(585\) −3.34448 0.00951246i −0.138277 0.000393292i
\(586\) −5.38576 35.7322i −0.222484 1.47608i
\(587\) 13.6188 + 23.5884i 0.562107 + 0.973599i 0.997312 + 0.0732673i \(0.0233426\pi\)
−0.435205 + 0.900331i \(0.643324\pi\)
\(588\) 16.3981 15.1780i 0.676245 0.625929i
\(589\) 0.0373938 0.0647679i 0.00154078 0.00266871i
\(590\) 55.6397 + 21.8370i 2.29065 + 0.899013i
\(591\) −17.9860 11.3371i −0.739845 0.466344i
\(592\) 27.8101 + 25.8040i 1.14299 + 1.06054i
\(593\) −1.77902 + 23.7393i −0.0730555 + 0.974858i 0.833431 + 0.552623i \(0.186373\pi\)
−0.906487 + 0.422234i \(0.861246\pi\)
\(594\) −29.8165 34.9478i −1.22338 1.43393i
\(595\) −17.7950 + 23.1958i −0.729525 + 0.950933i
\(596\) 7.59009 11.1326i 0.310902 0.456010i
\(597\) 5.46587 + 12.5767i 0.223703 + 0.514729i
\(598\) 2.12567 4.41401i 0.0869253 0.180502i
\(599\) −25.4464 + 20.2929i −1.03971 + 0.829144i −0.985549 0.169389i \(-0.945821\pi\)
−0.0541637 + 0.998532i \(0.517249\pi\)
\(600\) 0.423056 + 1.58790i 0.0172712 + 0.0648256i
\(601\) −19.1862 7.53003i −0.782621 0.307156i −0.0598174 0.998209i \(-0.519052\pi\)
−0.722804 + 0.691053i \(0.757147\pi\)
\(602\) −20.2098 1.13291i −0.823689 0.0461742i
\(603\) 6.65175 + 13.9136i 0.270880 + 0.566605i
\(604\) −12.2331 + 8.34038i −0.497757 + 0.339365i
\(605\) 25.3693 + 7.82540i 1.03141 + 0.318148i
\(606\) −37.5330 + 1.35094i −1.52468 + 0.0548782i
\(607\) −12.6585 + 7.30838i −0.513792 + 0.296638i −0.734391 0.678727i \(-0.762532\pi\)
0.220599 + 0.975365i \(0.429199\pi\)
\(608\) 0.314500 + 0.0970103i 0.0127546 + 0.00393429i
\(609\) 17.9427 25.2172i 0.727076 1.02185i
\(610\) 39.4708 12.1751i 1.59813 0.492957i
\(611\) −1.13892 + 1.22747i −0.0460758 + 0.0496579i
\(612\) −12.1566 + 17.7220i −0.491402 + 0.716368i
\(613\) 39.6226 + 5.97215i 1.60034 + 0.241213i 0.887737 0.460352i \(-0.152277\pi\)
0.712606 + 0.701565i \(0.247515\pi\)
\(614\) −11.1892 + 49.0230i −0.451559 + 1.97841i
\(615\) −13.6490 39.1854i −0.550382 1.58011i
\(616\) 0.750076 3.59670i 0.0302214 0.144915i
\(617\) −6.57472 + 21.3147i −0.264688 + 0.858098i 0.721492 + 0.692423i \(0.243457\pi\)
−0.986180 + 0.165676i \(0.947020\pi\)
\(618\) −30.2359 16.0352i −1.21627 0.645031i
\(619\) 2.40543 + 1.38878i 0.0966824 + 0.0558196i 0.547562 0.836765i \(-0.315556\pi\)
−0.450879 + 0.892585i \(0.648889\pi\)
\(620\) −6.31018 6.80076i −0.253423 0.273125i
\(621\) 6.01729 + 32.5620i 0.241466 + 1.30667i
\(622\) 0.728146 + 0.580677i 0.0291960 + 0.0232830i
\(623\) −20.4434 9.37571i −0.819046 0.375630i
\(624\) −1.89739 2.21116i −0.0759563 0.0885171i
\(625\) 22.6603 21.0256i 0.906410 0.841026i
\(626\) −15.8833 19.9170i −0.634825 0.796045i
\(627\) 0.195522 + 0.265713i 0.00780841 + 0.0106116i
\(628\) 19.3098 + 15.3991i 0.770546 + 0.614490i
\(629\) 30.9739 14.9162i 1.23501 0.594749i
\(630\) −42.4698 12.3616i −1.69204 0.492499i
\(631\) 23.3613 + 11.2502i 0.930001 + 0.447865i 0.836631 0.547767i \(-0.184522\pi\)
0.0933696 + 0.995632i \(0.470236\pi\)
\(632\) 0.638154 + 1.32514i 0.0253844 + 0.0527112i
\(633\) 4.56649 + 0.870754i 0.181502 + 0.0346094i
\(634\) −6.76899 + 3.25977i −0.268831 + 0.129462i
\(635\) 8.70533 22.1808i 0.345461 0.880219i
\(636\) −17.9747 + 33.8930i −0.712744 + 1.34395i
\(637\) 2.72785 0.307911i 0.108081 0.0121999i
\(638\) 59.7085i 2.36388i
\(639\) −5.93013 26.3265i −0.234592 1.04146i
\(640\) −3.93255 + 5.76800i −0.155448 + 0.228000i
\(641\) 30.6379 33.0198i 1.21012 1.30420i 0.270207 0.962802i \(-0.412908\pi\)
0.939917 0.341402i \(-0.110902\pi\)
\(642\) −16.0963 30.5608i −0.635270 1.20614i
\(643\) 24.7987 + 36.3730i 0.977965 + 1.43441i 0.899210 + 0.437518i \(0.144142\pi\)
0.0787555 + 0.996894i \(0.474905\pi\)
\(644\) 20.7028 23.1712i 0.815805 0.913072i
\(645\) 8.95483 + 17.0019i 0.352596 + 0.669447i
\(646\) 0.200648 0.251604i 0.00789438 0.00989924i
\(647\) 3.21291 + 42.8733i 0.126312 + 1.68552i 0.596231 + 0.802813i \(0.296664\pi\)
−0.469918 + 0.882710i \(0.655717\pi\)
\(648\) 2.69822 + 0.632020i 0.105996 + 0.0248281i
\(649\) −14.2578 + 46.2227i −0.559668 + 1.81440i
\(650\) 0.865406 2.20502i 0.0339440 0.0864879i
\(651\) −7.94606 + 1.64700i −0.311431 + 0.0645509i
\(652\) −3.17053 8.07838i −0.124168 0.316374i
\(653\) −10.7194 + 0.803309i −0.419483 + 0.0314359i −0.282800 0.959179i \(-0.591263\pi\)
−0.136683 + 0.990615i \(0.543644\pi\)
\(654\) 11.8031 + 3.18064i 0.461539 + 0.124373i
\(655\) −8.54604 + 14.8022i −0.333921 + 0.578369i
\(656\) 18.0745 31.3059i 0.705689 1.22229i
\(657\) 38.3149 11.6993i 1.49480 0.456434i
\(658\) −18.9669 + 11.4313i −0.739408 + 0.445638i
\(659\) −7.39587 23.9768i −0.288102 0.934004i −0.977735 0.209845i \(-0.932704\pi\)
0.689633 0.724159i \(-0.257772\pi\)
\(660\) 38.6462 13.4612i 1.50430 0.523978i
\(661\) −14.1408 11.2769i −0.550015 0.438622i 0.308638 0.951179i \(-0.400127\pi\)
−0.858653 + 0.512557i \(0.828698\pi\)
\(662\) −33.9455 27.0706i −1.31933 1.05213i
\(663\) −2.49337 + 0.868490i −0.0968345 + 0.0337294i
\(664\) −0.951356 3.08422i −0.0369198 0.119691i
\(665\) 0.297815 + 0.110469i 0.0115488 + 0.00428379i
\(666\) 38.0279 + 35.4865i 1.47355 + 1.37507i
\(667\) 21.5194 37.2727i 0.833235 1.44320i
\(668\) −13.2981 + 23.0330i −0.514519 + 0.891173i
\(669\) 4.11454 + 1.10876i 0.159077 + 0.0428672i
\(670\) −28.5672 + 2.14082i −1.10365 + 0.0827071i
\(671\) 12.2126 + 31.1172i 0.471463 + 1.20127i
\(672\) −14.8476 32.4791i −0.572758 1.25291i
\(673\) 18.4050 46.8953i 0.709462 1.80768i 0.132024 0.991247i \(-0.457852\pi\)
0.577438 0.816434i \(-0.304052\pi\)
\(674\) 0.613760 1.98976i 0.0236412 0.0766428i
\(675\) 4.07777 + 15.4824i 0.156953 + 0.595916i
\(676\) −1.76921 23.6084i −0.0680464 0.908016i
\(677\) −10.5221 + 13.1943i −0.404397 + 0.507098i −0.941775 0.336244i \(-0.890843\pi\)
0.537378 + 0.843342i \(0.319415\pi\)
\(678\) −15.0249 28.5265i −0.577026 1.09555i
\(679\) 9.22985 32.0496i 0.354209 1.22995i
\(680\) 1.91667 + 2.81124i 0.0735010 + 0.107806i
\(681\) 20.8259 + 39.5406i 0.798052 + 1.51520i
\(682\) 10.6486 11.4765i 0.407757 0.439457i
\(683\) −8.46974 + 12.4228i −0.324086 + 0.475346i −0.953359 0.301837i \(-0.902400\pi\)
0.629274 + 0.777184i \(0.283352\pi\)
\(684\) 0.222927 + 0.0694589i 0.00852383 + 0.00265583i
\(685\) 3.63357i 0.138832i
\(686\) 35.7948 + 6.07066i 1.36665 + 0.231779i
\(687\) 3.49082 6.58227i 0.133183 0.251129i
\(688\) −6.11597 + 15.5832i −0.233169 + 0.594106i
\(689\) −4.24659 + 2.04505i −0.161782 + 0.0779102i
\(690\) −60.4220 11.5215i −2.30023 0.438616i
\(691\) −1.60171 3.32598i −0.0609319 0.126526i 0.868279 0.496076i \(-0.165226\pi\)
−0.929211 + 0.369550i \(0.879512\pi\)
\(692\) 18.0767 + 8.70528i 0.687173 + 0.330925i
\(693\) 7.40755 35.0213i 0.281389 1.33035i
\(694\) 55.6363 26.7930i 2.11192 1.01705i
\(695\) 27.3986 + 21.8497i 1.03929 + 0.828806i
\(696\) −2.13476 2.90113i −0.0809180 0.109967i
\(697\) −20.4241 25.6110i −0.773617 0.970085i
\(698\) 7.12153 6.60781i 0.269554 0.250109i
\(699\) 6.27426 + 7.31183i 0.237314 + 0.276559i
\(700\) 9.14464 11.9200i 0.345635 0.450534i
\(701\) −26.6418 21.2461i −1.00625 0.802454i −0.0258849 0.999665i \(-0.508240\pi\)
−0.980361 + 0.197210i \(0.936812\pi\)
\(702\) −2.59275 3.03896i −0.0978570 0.114698i
\(703\) −0.254060 0.273811i −0.00958205 0.0103270i
\(704\) 26.1601 + 15.1035i 0.985944 + 0.569235i
\(705\) 18.5731 + 9.84998i 0.699503 + 0.370972i
\(706\) 6.28625 20.3795i 0.236586 0.766993i
\(707\) −18.6735 22.5334i −0.702289 0.847457i
\(708\) 11.2617 + 32.3316i 0.423242 + 1.21510i
\(709\) 9.40689 41.2143i 0.353283 1.54784i −0.416263 0.909244i \(-0.636660\pi\)
0.769546 0.638591i \(-0.220482\pi\)
\(710\) 49.5691 + 7.47134i 1.86029 + 0.280394i
\(711\) 6.18072 + 12.9283i 0.231795 + 0.484850i
\(712\) −1.78036 + 1.91877i −0.0667218 + 0.0719090i
\(713\) −10.7835 + 3.32628i −0.403847 + 0.124570i
\(714\) −34.8667 + 1.91186i −1.30485 + 0.0715494i
\(715\) 4.80440 + 1.48196i 0.179674 + 0.0554222i
\(716\) 34.9330 20.1686i 1.30551 0.753735i
\(717\) −40.0446 + 1.44134i −1.49549 + 0.0538278i
\(718\) −2.32764 0.717982i −0.0868668 0.0267948i
\(719\) −16.6691 + 11.3648i −0.621652 + 0.423835i −0.832765 0.553626i \(-0.813244\pi\)
0.211113 + 0.977462i \(0.432291\pi\)
\(720\) −20.6931 + 30.1664i −0.771185 + 1.12424i
\(721\) −4.46979 26.2913i −0.166464 0.979138i
\(722\) 34.6685 + 13.6064i 1.29023 + 0.506377i
\(723\) 7.41993 + 27.8499i 0.275950 + 1.03575i
\(724\) −0.793920 + 0.633130i −0.0295058 + 0.0235301i
\(725\) 9.02883 18.7486i 0.335322 0.696304i
\(726\) 12.6393 + 29.0824i 0.469089 + 1.07935i
\(727\) 12.5450 18.4001i 0.465267 0.682421i −0.519860 0.854252i \(-0.674016\pi\)
0.985127 + 0.171831i \(0.0549682\pi\)
\(728\) 0.0652243 0.312758i 0.00241737 0.0115916i
\(729\) 26.2708 + 6.23245i 0.972994 + 0.230831i
\(730\) −5.56119 + 74.2089i −0.205829 + 2.74659i
\(731\) 11.1204 + 10.3182i 0.411302 + 0.381632i
\(732\) 20.0155 + 12.6163i 0.739793 + 0.466311i
\(733\) 9.36677 + 3.67619i 0.345970 + 0.135783i 0.531962 0.846768i \(-0.321455\pi\)
−0.185993 + 0.982551i \(0.559550\pi\)
\(734\) 1.63759 2.83640i 0.0604447 0.104693i
\(735\) −12.5528 32.0993i −0.463018 1.18400i
\(736\) −24.8311 43.0087i −0.915285 1.58532i
\(737\) −3.45535 22.9247i −0.127279 0.844443i
\(738\) 24.9027 42.8508i 0.916681 1.57736i
\(739\) −33.7677 + 10.4159i −1.24216 + 0.383157i −0.845087 0.534629i \(-0.820451\pi\)
−0.397077 + 0.917786i \(0.629975\pi\)
\(740\) −41.7465 + 20.1040i −1.53463 + 0.739039i
\(741\) 0.0170020 + 0.0231056i 0.000624585 + 0.000848807i
\(742\) −61.4544 + 10.4479i −2.25606 + 0.383554i
\(743\) 2.61364 + 0.195866i 0.0958853 + 0.00718561i 0.122586 0.992458i \(-0.460881\pi\)
−0.0267010 + 0.999643i \(0.508500\pi\)
\(744\) −0.107077 + 0.938342i −0.00392564 + 0.0344013i
\(745\) −11.7078 17.1722i −0.428942 0.629142i
\(746\) 50.7604 + 19.9220i 1.85847 + 0.729395i
\(747\) −9.18346 30.0755i −0.336005 1.10040i
\(748\) 25.2586 20.1431i 0.923546 0.736503i
\(749\) 11.2199 24.4644i 0.409965 0.893911i
\(750\) 18.4014 + 2.09984i 0.671924 + 0.0766755i
\(751\) 0.421151 + 5.61987i 0.0153680 + 0.205072i 0.999602 + 0.0282020i \(0.00897817\pi\)
−0.984234 + 0.176870i \(0.943403\pi\)
\(752\) 4.07548 + 17.8558i 0.148617 + 0.651135i
\(753\) 39.2310 24.5727i 1.42966 0.895480i
\(754\) 5.19207i 0.189084i
\(755\) 5.08196 + 22.2655i 0.184951 + 0.810325i
\(756\) −10.4681 23.0724i −0.380722 0.839134i
\(757\) 7.25781 31.7985i 0.263790 1.15574i −0.653313 0.757088i \(-0.726622\pi\)
0.917103 0.398650i \(-0.130521\pi\)
\(758\) −24.3804 5.56466i −0.885535 0.202117i
\(759\) 5.64385 49.4583i 0.204859 1.79522i
\(760\) 0.0230490 0.0289026i 0.000836077 0.00104841i
\(761\) −11.4262 + 3.52450i −0.414198 + 0.127763i −0.494848 0.868979i \(-0.664776\pi\)
0.0806507 + 0.996742i \(0.474300\pi\)
\(762\) 26.8766 9.36166i 0.973637 0.339137i
\(763\) 3.64605 + 8.79982i 0.131996 + 0.318575i
\(764\) −37.8225 + 8.63273i −1.36837 + 0.312321i
\(765\) 18.5960 + 27.4426i 0.672338 + 0.992191i
\(766\) −12.3533 + 7.13219i −0.446344 + 0.257697i
\(767\) −1.23982 + 4.01938i −0.0447672 + 0.145132i
\(768\) −31.3473 + 3.48685i −1.13115 + 0.125821i
\(769\) −15.3863 + 6.03866i −0.554842 + 0.217760i −0.626161 0.779694i \(-0.715375\pi\)
0.0713183 + 0.997454i \(0.477279\pi\)
\(770\) 55.6346 + 36.4181i 2.00493 + 1.31242i
\(771\) 9.30628 + 49.5707i 0.335157 + 1.78524i
\(772\) 7.69723 + 33.7238i 0.277029 + 1.21374i