Properties

Label 108.3.j.a.7.2
Level 108
Weight 3
Character 108.7
Analytic conductor 2.943
Analytic rank 0
Dimension 204
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 108 = 2^{2} \cdot 3^{3} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 108.j (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.94278685509\)
Analytic rank: \(0\)
Dimension: \(204\)
Relative dimension: \(34\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 7.2
Character \(\chi\) \(=\) 108.7
Dual form 108.3.j.a.31.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.95123 - 0.438997i) q^{2} +(-1.49386 - 2.60161i) q^{3} +(3.61456 + 1.71316i) q^{4} +(0.0372686 + 0.211361i) q^{5} +(1.77277 + 5.73213i) q^{6} +(7.43930 - 8.86581i) q^{7} +(-6.30076 - 4.92955i) q^{8} +(-4.53674 + 7.77290i) q^{9} +O(q^{10})\) \(q+(-1.95123 - 0.438997i) q^{2} +(-1.49386 - 2.60161i) q^{3} +(3.61456 + 1.71316i) q^{4} +(0.0372686 + 0.211361i) q^{5} +(1.77277 + 5.73213i) q^{6} +(7.43930 - 8.86581i) q^{7} +(-6.30076 - 4.92955i) q^{8} +(-4.53674 + 7.77290i) q^{9} +(0.0200672 - 0.428773i) q^{10} +(-9.50415 - 1.67584i) q^{11} +(-0.942686 - 11.9629i) q^{12} +(-18.7145 - 6.81150i) q^{13} +(-18.4078 + 14.0334i) q^{14} +(0.494204 - 0.412703i) q^{15} +(10.1301 + 12.3847i) q^{16} +(-0.856471 - 1.48345i) q^{17} +(12.2645 - 13.1751i) q^{18} +(-5.28896 - 3.05358i) q^{19} +(-0.227386 + 0.827824i) q^{20} +(-34.1787 - 6.10984i) q^{21} +(17.8091 + 7.44223i) q^{22} +(-20.2195 - 24.0967i) q^{23} +(-3.41229 + 23.7562i) q^{24} +(23.4490 - 8.53475i) q^{25} +(33.5259 + 21.5064i) q^{26} +(26.9993 + 0.191178i) q^{27} +(42.0784 - 19.3013i) q^{28} +(8.13847 - 2.96216i) q^{29} +(-1.14548 + 0.588322i) q^{30} +(-0.101324 - 0.120753i) q^{31} +(-14.3294 - 28.6124i) q^{32} +(9.83803 + 27.2296i) q^{33} +(1.01994 + 3.27054i) q^{34} +(2.15114 + 1.24196i) q^{35} +(-29.7146 + 20.3235i) q^{36} +(24.1007 + 41.7436i) q^{37} +(8.97943 + 8.28006i) q^{38} +(10.2360 + 58.8632i) q^{39} +(0.807093 - 1.51545i) q^{40} +(19.2926 + 7.02193i) q^{41} +(64.0081 + 26.9260i) q^{42} +(-45.0838 - 7.94949i) q^{43} +(-31.4824 - 22.3396i) q^{44} +(-1.81196 - 0.669204i) q^{45} +(28.8744 + 55.8943i) q^{46} +(23.9050 - 28.4889i) q^{47} +(17.0870 - 44.8557i) q^{48} +(-14.7507 - 83.6553i) q^{49} +(-49.5011 + 6.35918i) q^{50} +(-2.57991 + 4.44428i) q^{51} +(-55.9754 - 56.6815i) q^{52} +98.4809 q^{53} +(-52.5978 - 12.2256i) q^{54} -2.07126i q^{55} +(-90.5777 + 19.1890i) q^{56} +(-0.0432430 + 18.3214i) q^{57} +(-17.1804 + 2.20708i) q^{58} +(-12.4095 + 2.18814i) q^{59} +(2.49336 - 0.645088i) q^{60} +(-62.8227 - 52.7145i) q^{61} +(0.144696 + 0.280098i) q^{62} +(35.1629 + 98.0469i) q^{63} +(15.3991 + 62.1198i) q^{64} +(0.742223 - 4.20936i) q^{65} +(-7.24254 - 57.4499i) q^{66} +(18.1950 - 49.9905i) q^{67} +(-0.554376 - 6.82930i) q^{68} +(-32.4849 + 88.6003i) q^{69} +(-3.65214 - 3.36769i) q^{70} +(65.5561 - 37.8488i) q^{71} +(66.9018 - 26.6111i) q^{72} +(13.3902 - 23.1924i) q^{73} +(-28.7005 - 92.0312i) q^{74} +(-57.2337 - 48.2555i) q^{75} +(-13.8860 - 20.0982i) q^{76} +(-85.5619 + 71.7950i) q^{77} +(5.86803 - 119.349i) q^{78} +(39.9006 + 109.626i) q^{79} +(-2.24010 + 2.60268i) q^{80} +(-39.8359 - 70.5273i) q^{81} +(-34.5616 - 22.1707i) q^{82} +(38.5038 + 105.788i) q^{83} +(-113.074 - 80.6381i) q^{84} +(0.281624 - 0.236311i) q^{85} +(84.4788 + 35.3029i) q^{86} +(-19.8642 - 16.7481i) q^{87} +(51.6222 + 57.4102i) q^{88} +(59.4575 - 102.983i) q^{89} +(3.24177 + 2.10121i) q^{90} +(-199.612 + 115.246i) q^{91} +(-31.8032 - 121.738i) q^{92} +(-0.162789 + 0.443995i) q^{93} +(-59.1506 + 45.0941i) q^{94} +(0.448295 - 1.23168i) q^{95} +(-53.0321 + 80.0225i) q^{96} +(-4.27138 + 24.2242i) q^{97} +(-7.94247 + 169.706i) q^{98} +(56.1440 - 66.2720i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 204q - 6q^{2} - 6q^{4} - 12q^{5} - 6q^{6} - 3q^{8} - 12q^{9} + O(q^{10}) \) \( 204q - 6q^{2} - 6q^{4} - 12q^{5} - 6q^{6} - 3q^{8} - 12q^{9} - 3q^{10} + 39q^{12} - 12q^{13} + 39q^{14} - 6q^{16} - 6q^{17} - 27q^{18} - 69q^{20} - 12q^{21} - 6q^{22} - 138q^{24} - 12q^{25} - 174q^{26} - 12q^{28} + 60q^{29} - 153q^{30} - 96q^{32} + 48q^{33} + 6q^{34} + 24q^{36} - 6q^{37} + 72q^{38} + 69q^{40} - 192q^{41} - 126q^{42} - 219q^{44} - 132q^{45} - 3q^{46} - 219q^{48} - 12q^{49} - 165q^{50} + 21q^{52} - 24q^{53} + 78q^{54} + 99q^{56} - 150q^{57} - 141q^{58} + 210q^{60} - 12q^{61} + 294q^{62} - 3q^{64} - 156q^{65} + 393q^{66} + 375q^{68} - 60q^{69} - 165q^{70} + 228q^{72} - 6q^{73} + 447q^{74} - 54q^{76} + 132q^{77} + 750q^{78} + 798q^{80} + 228q^{81} - 12q^{82} + 762q^{84} + 138q^{85} + 606q^{86} - 198q^{88} - 114q^{89} + 894q^{90} + 723q^{92} - 1020q^{93} - 357q^{94} + 474q^{96} + 168q^{97} + 510q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(55\)
\(\chi(n)\) \(e\left(\frac{8}{9}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.95123 0.438997i −0.975613 0.219498i
\(3\) −1.49386 2.60161i −0.497955 0.867203i
\(4\) 3.61456 + 1.71316i 0.903641 + 0.428291i
\(5\) 0.0372686 + 0.211361i 0.00745372 + 0.0422722i 0.988308 0.152472i \(-0.0487234\pi\)
−0.980854 + 0.194744i \(0.937612\pi\)
\(6\) 1.77277 + 5.73213i 0.295461 + 0.955355i
\(7\) 7.43930 8.86581i 1.06276 1.26654i 0.100345 0.994953i \(-0.468005\pi\)
0.962412 0.271592i \(-0.0875502\pi\)
\(8\) −6.30076 4.92955i −0.787595 0.616194i
\(9\) −4.53674 + 7.77290i −0.504082 + 0.863656i
\(10\) 0.0200672 0.428773i 0.00200672 0.0428773i
\(11\) −9.50415 1.67584i −0.864014 0.152349i −0.275958 0.961170i \(-0.588995\pi\)
−0.588055 + 0.808821i \(0.700106\pi\)
\(12\) −0.942686 11.9629i −0.0785572 0.996910i
\(13\) −18.7145 6.81150i −1.43957 0.523962i −0.499915 0.866075i \(-0.666635\pi\)
−0.939659 + 0.342113i \(0.888858\pi\)
\(14\) −18.4078 + 14.0334i −1.31484 + 1.00238i
\(15\) 0.494204 0.412703i 0.0329469 0.0275135i
\(16\) 10.1301 + 12.3847i 0.633134 + 0.774042i
\(17\) −0.856471 1.48345i −0.0503806 0.0872618i 0.839735 0.542996i \(-0.182710\pi\)
−0.890116 + 0.455734i \(0.849377\pi\)
\(18\) 12.2645 13.1751i 0.681360 0.731948i
\(19\) −5.28896 3.05358i −0.278366 0.160715i 0.354317 0.935125i \(-0.384713\pi\)
−0.632683 + 0.774410i \(0.718047\pi\)
\(20\) −0.227386 + 0.827824i −0.0113693 + 0.0413912i
\(21\) −34.1787 6.10984i −1.62756 0.290945i
\(22\) 17.8091 + 7.44223i 0.809503 + 0.338283i
\(23\) −20.2195 24.0967i −0.879108 1.04768i −0.998496 0.0548328i \(-0.982537\pi\)
0.119387 0.992848i \(1.53809\pi\)
\(24\) −3.41229 + 23.7562i −0.142179 + 0.989841i
\(25\) 23.4490 8.53475i 0.937961 0.341390i
\(26\) 33.5259 + 21.5064i 1.28946 + 0.827168i
\(27\) 26.9993 + 0.191178i 0.999975 + 0.00708065i
\(28\) 42.0784 19.3013i 1.50280 0.689333i
\(29\) 8.13847 2.96216i 0.280637 0.102144i −0.197867 0.980229i \(-0.563401\pi\)
0.478504 + 0.878085i \(0.341179\pi\)
\(30\) −1.14548 + 0.588322i −0.0381826 + 0.0196107i
\(31\) −0.101324 0.120753i −0.00326852 0.00389527i 0.764408 0.644733i \(-0.223032\pi\)
−0.767676 + 0.640838i \(0.778587\pi\)
\(32\) −14.3294 28.6124i −0.447793 0.894137i
\(33\) 9.83803 + 27.2296i 0.298122 + 0.825138i
\(34\) 1.01994 + 3.27054i 0.0299982 + 0.0961922i
\(35\) 2.15114 + 1.24196i 0.0614611 + 0.0354846i
\(36\) −29.7146 + 20.3235i −0.825405 + 0.564541i
\(37\) 24.1007 + 41.7436i 0.651369 + 1.12820i 0.982791 + 0.184722i \(0.0591383\pi\)
−0.331422 + 0.943483i \(0.607528\pi\)
\(38\) 8.97943 + 8.28006i 0.236301 + 0.217896i
\(39\) 10.2360 + 58.8632i 0.262461 + 1.50931i
\(40\) 0.807093 1.51545i 0.0201773 0.0378863i
\(41\) 19.2926 + 7.02193i 0.470551 + 0.171267i 0.566402 0.824129i \(-0.308335\pi\)
−0.0958510 + 0.995396i \(0.530557\pi\)
\(42\) 64.0081 + 26.9260i 1.52400 + 0.641095i
\(43\) −45.0838 7.94949i −1.04846 0.184872i −0.377229 0.926120i \(-0.623123\pi\)
−0.671231 + 0.741248i \(0.734234\pi\)
\(44\) −31.4824 22.3396i −0.715509 0.507718i
\(45\) −1.81196 0.669204i −0.0402659 0.0148712i
\(46\) 28.8744 + 55.8943i 0.627705 + 1.21509i
\(47\) 23.9050 28.4889i 0.508618 0.606147i −0.449233 0.893415i \(-0.648303\pi\)
0.957850 + 0.287268i \(0.0927470\pi\)
\(48\) 17.0870 44.8557i 0.355980 0.934494i
\(49\) −14.7507 83.6553i −0.301035 1.70725i
\(50\) −49.5011 + 6.35918i −0.990022 + 0.127184i
\(51\) −2.57991 + 4.44428i −0.0505865 + 0.0871427i
\(52\) −55.9754 56.6815i −1.07645 1.09003i
\(53\) 98.4809 1.85813 0.929065 0.369917i \(-0.120614\pi\)
0.929065 + 0.369917i \(0.120614\pi\)
\(54\) −52.5978 12.2256i −0.974034 0.226401i
\(55\) 2.07126i 0.0376593i
\(56\) −90.5777 + 19.1890i −1.61746 + 0.342660i
\(57\) −0.0432430 + 18.3214i −0.000758649 + 0.321429i
\(58\) −17.1804 + 2.20708i −0.296213 + 0.0380532i
\(59\) −12.4095 + 2.18814i −0.210331 + 0.0370871i −0.277821 0.960633i \(-0.589612\pi\)
0.0674896 + 0.997720i \(0.478501\pi\)
\(60\) 2.49336 0.645088i 0.0415560 0.0107515i
\(61\) −62.8227 52.7145i −1.02988 0.864172i −0.0390434 0.999238i \(-0.512431\pi\)
−0.990837 + 0.135065i \(0.956876\pi\)
\(62\) 0.144696 + 0.280098i 0.00233381 + 0.00451771i
\(63\) 35.1629 + 98.0469i 0.558141 + 1.55630i
\(64\) 15.3991 + 62.1198i 0.240611 + 0.970622i
\(65\) 0.742223 4.20936i 0.0114188 0.0647593i
\(66\) −7.24254 57.4499i −0.109735 0.870453i
\(67\) 18.1950 49.9905i 0.271568 0.746126i −0.726681 0.686975i \(-0.758938\pi\)
0.998249 0.0591515i \(-0.0188395\pi\)
\(68\) −0.554376 6.82930i −0.00815259 0.100431i
\(69\) −32.4849 + 88.6003i −0.470796 + 1.28406i
\(70\) −3.65214 3.36769i −0.0521734 0.0481098i
\(71\) 65.5561 37.8488i 0.923325 0.533082i 0.0386308 0.999254i \(-0.487700\pi\)
0.884694 + 0.466172i \(0.154367\pi\)
\(72\) 66.9018 26.6111i 0.929192 0.369598i
\(73\) 13.3902 23.1924i 0.183427 0.317705i −0.759618 0.650369i \(-0.774614\pi\)
0.943045 + 0.332664i \(0.107948\pi\)
\(74\) −28.7005 92.0312i −0.387845 1.24367i
\(75\) −57.2337 48.2555i −0.763117 0.643406i
\(76\) −13.8860 20.0982i −0.182710 0.264450i
\(77\) −85.5619 + 71.7950i −1.11119 + 0.932402i
\(78\) 5.86803 119.349i 0.0752312 1.53011i
\(79\) 39.9006 + 109.626i 0.505071 + 1.38767i 0.886266 + 0.463177i \(0.153291\pi\)
−0.381194 + 0.924495i \(0.624487\pi\)
\(80\) −2.24010 + 2.60268i −0.0280012 + 0.0325334i
\(81\) −39.8359 70.5273i −0.491802 0.870707i
\(82\) −34.5616 22.1707i −0.421483 0.270375i
\(83\) 38.5038 + 105.788i 0.463901 + 1.27456i 0.922529 + 0.385928i \(0.126119\pi\)
−0.458628 + 0.888628i \(0.651659\pi\)
\(84\) −113.074 80.6381i −1.34612 0.959977i
\(85\) 0.281624 0.236311i 0.00331322 0.00278012i
\(86\) 84.4788 + 35.3029i 0.982312 + 0.410498i
\(87\) −19.8642 16.7481i −0.228324 0.192506i
\(88\) 51.6222 + 57.4102i 0.586616 + 0.652389i
\(89\) 59.4575 102.983i 0.668061 1.15712i −0.310384 0.950611i \(-0.600458\pi\)
0.978446 0.206505i \(-0.0662089\pi\)
\(90\) 3.24177 + 2.10121i 0.0360197 + 0.0233468i
\(91\) −199.612 + 115.246i −2.19354 + 1.26644i
\(92\) −31.8032 121.738i −0.345687 1.32324i
\(93\) −0.162789 + 0.443995i −0.00175042 + 0.00477414i
\(94\) −59.1506 + 45.0941i −0.629262 + 0.479724i
\(95\) 0.448295 1.23168i 0.00471889 0.0129651i
\(96\) −53.0321 + 80.0225i −0.552418 + 0.833567i
\(97\) −4.27138 + 24.2242i −0.0440349 + 0.249734i −0.998877 0.0473796i \(-0.984913\pi\)
0.954842 + 0.297114i \(0.0960241\pi\)
\(98\) −7.94247 + 169.706i −0.0810456 + 1.73169i
\(99\) 56.1440 66.2720i 0.567111 0.669414i
\(100\) 99.3794 + 9.32261i 0.993794 + 0.0932261i
\(101\) 36.2218 + 30.3937i 0.358632 + 0.300928i 0.804245 0.594298i \(-0.202570\pi\)
−0.445613 + 0.895226i \(0.647014\pi\)
\(102\) 6.98501 7.53922i 0.0684805 0.0739139i
\(103\) 52.3436 9.22958i 0.508190 0.0896076i 0.0863264 0.996267i \(-0.472487\pi\)
0.421864 + 0.906659i \(0.361376\pi\)
\(104\) 84.3376 + 135.171i 0.810939 + 1.29973i
\(105\) 0.0175879 7.45174i 0.000167504 0.0709689i
\(106\) −192.158 43.2328i −1.81282 0.407856i
\(107\) 31.1755i 0.291360i −0.989332 0.145680i \(-0.953463\pi\)
0.989332 0.145680i \(-0.0465369\pi\)
\(108\) 97.2633 + 46.9453i 0.900586 + 0.434678i
\(109\) 62.5881 0.574203 0.287101 0.957900i \(-0.407308\pi\)
0.287101 + 0.957900i \(0.407308\pi\)
\(110\) −0.909277 + 4.04150i −0.00826615 + 0.0367409i
\(111\) 72.5973 125.060i 0.654030 1.12666i
\(112\) 185.161 + 2.32132i 1.65323 + 0.0207260i
\(113\) 22.6665 + 128.548i 0.200589 + 1.13760i 0.904232 + 0.427042i \(0.140444\pi\)
−0.703643 + 0.710554i \(0.748445\pi\)
\(114\) 8.12742 35.7303i 0.0712932 0.313423i
\(115\) 4.33953 5.17166i 0.0377351 0.0449709i
\(116\) 34.4917 + 3.23560i 0.297342 + 0.0278931i
\(117\) 137.848 114.564i 1.17819 0.979176i
\(118\) 25.1744 + 1.17820i 0.213342 + 0.00998471i
\(119\) −19.5236 3.44253i −0.164063 0.0289288i
\(120\) −5.14830 + 0.164137i −0.0429025 + 0.00136781i
\(121\) −26.1823 9.52958i −0.216383 0.0787569i
\(122\) 99.4398 + 130.437i 0.815080 + 1.06915i
\(123\) −10.5522 60.6816i −0.0857901 0.493346i
\(124\) −0.159372 0.610056i −0.00128526 0.00491980i
\(125\) 5.36059 + 9.28482i 0.0428847 + 0.0742785i
\(126\) −25.5685 206.748i −0.202925 1.64086i
\(127\) 26.2396 + 15.1494i 0.206611 + 0.119287i 0.599735 0.800198i \(-0.295273\pi\)
−0.393124 + 0.919485i \(0.628606\pi\)
\(128\) −2.77676 127.970i −0.0216934 0.999765i
\(129\) 46.6676 + 129.166i 0.361764 + 1.00129i
\(130\) −3.29614 + 7.88757i −0.0253549 + 0.0606736i
\(131\) −118.464 141.179i −0.904302 1.07770i −0.996634 0.0819767i \(-0.973877\pi\)
0.0923324 0.995728i \(1.52943\pi\)
\(132\) −11.0885 + 115.277i −0.0840037 + 0.873312i
\(133\) −66.4186 + 24.1744i −0.499388 + 0.181762i
\(134\) −57.4483 + 89.5551i −0.428718 + 0.668322i
\(135\) 0.965820 + 5.71372i 0.00715422 + 0.0423239i
\(136\) −1.91633 + 13.5689i −0.0140907 + 0.0997712i
\(137\) −23.6048 + 8.59145i −0.172298 + 0.0627113i −0.426729 0.904380i \(-0.640334\pi\)
0.254431 + 0.967091i \(0.418112\pi\)
\(138\) 102.281 158.618i 0.741164 1.14941i
\(139\) 5.61100 + 6.68693i 0.0403669 + 0.0481074i 0.785850 0.618417i \(-0.212226\pi\)
−0.745483 + 0.666524i \(0.767781\pi\)
\(140\) 5.64775 + 8.17439i 0.0403410 + 0.0583885i
\(141\) −109.828 19.6330i −0.778921 0.139241i
\(142\) −144.530 + 45.0727i −1.01782 + 0.317413i
\(143\) 166.450 + 96.1000i 1.16399 + 0.672028i
\(144\) −142.223 + 22.5545i −0.987658 + 0.156629i
\(145\) 0.929394 + 1.60976i 0.00640962 + 0.0111018i
\(146\) −36.3086 + 39.3755i −0.248689 + 0.269695i
\(147\) −195.603 + 163.345i −1.33063 + 1.11119i
\(148\) 15.5999 + 192.173i 0.105404 + 1.29847i
\(149\) −9.12132 3.31989i −0.0612169 0.0222811i 0.311230 0.950335i \(-0.399259\pi\)
−0.372447 + 0.928053i \(0.621481\pi\)
\(150\) 90.4920 + 119.283i 0.603280 + 0.795218i
\(151\) 92.5096 + 16.3119i 0.612646 + 0.108026i 0.471357 0.881942i \(-0.343764\pi\)
0.141289 + 0.989968i \(0.454875\pi\)
\(152\) 18.2717 + 45.3120i 0.120208 + 0.298105i
\(153\) 15.4163 + 0.0727728i 0.100760 + 0.000475639i
\(154\) 198.468 102.527i 1.28876 0.665759i
\(155\) 0.0217463 0.0259163i 0.000140299 0.000167202i
\(156\) −63.8436 + 230.301i −0.409254 + 1.47629i
\(157\) −23.4101 132.765i −0.149109 0.845639i −0.963976 0.265991i \(-0.914301\pi\)
0.814867 0.579649i \(-0.196810\pi\)
\(158\) −29.7297 231.422i −0.188163 1.46469i
\(159\) −147.117 256.209i −0.925264 1.61138i
\(160\) 5.51350 4.09501i 0.0344594 0.0255938i
\(161\) −364.055 −2.26121
\(162\) 46.7677 + 155.102i 0.288689 + 0.957423i
\(163\) 202.543i 1.24260i −0.783575 0.621298i \(-0.786606\pi\)
0.783575 0.621298i \(-0.213394\pi\)
\(164\) 57.7046 + 58.4326i 0.351857 + 0.356296i
\(165\) −5.38861 + 3.09418i −0.0326583 + 0.0187526i
\(166\) −28.6889 223.320i −0.172824 1.34530i
\(167\) −147.033 + 25.9260i −0.880440 + 0.155245i −0.595553 0.803316i \(-0.703067\pi\)
−0.284887 + 0.958561i \(0.591956\pi\)
\(168\) 185.233 + 206.982i 1.10258 + 1.23204i
\(169\) 174.373 + 146.316i 1.03179 + 0.865776i
\(170\) −0.653251 + 0.337463i −0.00384266 + 0.00198508i
\(171\) 47.7298 27.2572i 0.279122 0.159399i
\(172\) −149.339 105.970i −0.868252 0.616103i
\(173\) 54.2893 307.890i 0.313811 1.77971i −0.264998 0.964249i \(-0.585371\pi\)
0.578809 0.815463i \(-0.303518\pi\)
\(174\) 31.4071 + 41.3995i 0.180501 + 0.237928i
\(175\) 98.7769 271.387i 0.564439 1.55078i
\(176\) −75.5238 134.682i −0.429112 0.765240i
\(177\) 24.2308 + 29.0160i 0.136897 + 0.163932i
\(178\) −161.224 + 174.842i −0.905754 + 0.982259i
\(179\) 23.2554 13.4265i 0.129919 0.0750086i −0.433632 0.901090i \(-0.642768\pi\)
0.563551 + 0.826081i \(0.309435\pi\)
\(180\) −5.40300 5.52307i −0.0300167 0.0306837i
\(181\) −144.044 + 249.492i −0.795823 + 1.37841i 0.126492 + 0.991968i \(0.459628\pi\)
−0.922315 + 0.386439i \(0.873705\pi\)
\(182\) 440.081 137.242i 2.41803 0.754077i
\(183\) −43.2940 + 242.188i −0.236579 + 1.32343i
\(184\) 8.61251 + 251.500i 0.0468071 + 1.36685i
\(185\) −7.92475 + 6.64966i −0.0428365 + 0.0359441i
\(186\) 0.512550 0.794871i 0.00275564 0.00427350i
\(187\) 5.65401 + 15.5343i 0.0302353 + 0.0830709i
\(188\) 135.212 62.0218i 0.719215 0.329903i
\(189\) 202.551 237.949i 1.07170 1.25899i
\(190\) −1.41543 + 2.20649i −0.00744962 + 0.0116131i
\(191\) 77.1124 + 211.865i 0.403730 + 1.10924i 0.960429 + 0.278525i \(0.0898454\pi\)
−0.556699 + 0.830714i \(0.687932\pi\)
\(192\) 138.607 132.861i 0.721913 0.691984i
\(193\) −157.892 + 132.487i −0.818095 + 0.686463i −0.952525 0.304460i \(-0.901524\pi\)
0.134430 + 0.990923i \(0.457080\pi\)
\(194\) 18.9688 45.3918i 0.0977772 0.233978i
\(195\) −12.0599 + 4.35723i −0.0618456 + 0.0223448i
\(196\) 89.9979 327.648i 0.459173 1.67167i
\(197\) −63.0398 + 109.188i −0.319999 + 0.554255i −0.980487 0.196581i \(-0.937016\pi\)
0.660488 + 0.750836i \(0.270349\pi\)
\(198\) −138.643 + 104.665i −0.700216 + 0.528609i
\(199\) −64.5454 + 37.2653i −0.324348 + 0.187263i −0.653329 0.757074i \(-0.726628\pi\)
0.328981 + 0.944337i \(0.393295\pi\)
\(200\) −189.819 61.8177i −0.949096 0.309089i
\(201\) −157.237 + 27.3426i −0.782272 + 0.136033i
\(202\) −57.3343 75.2063i −0.283833 0.372308i
\(203\) 34.2826 94.1906i 0.168880 0.463993i
\(204\) −16.9390 + 11.6443i −0.0830344 + 0.0570800i
\(205\) −0.765152 + 4.33939i −0.00373245 + 0.0211678i
\(206\) −106.186 4.96965i −0.515465 0.0241245i
\(207\) 279.031 47.8438i 1.34798 0.231129i
\(208\) −105.222 300.774i −0.505875 1.44603i
\(209\) 45.1497 + 37.8851i 0.216027 + 0.181269i
\(210\) −3.30561 + 14.5323i −0.0157410 + 0.0692014i
\(211\) −26.9666 + 4.75493i −0.127804 + 0.0225352i −0.237184 0.971465i \(-0.576224\pi\)
0.109380 + 0.994000i \(0.465113\pi\)
\(212\) 355.965 + 168.714i 1.67908 + 0.795820i
\(213\) −196.400 114.010i −0.922064 0.535260i
\(214\) −13.6859 + 60.8304i −0.0639529 + 0.284254i
\(215\) 9.82521i 0.0456986i
\(216\) −169.174 134.299i −0.783212 0.621755i
\(217\) −1.82436 −0.00840718
\(218\) −122.123 27.4760i −0.560200 0.126036i
\(219\) −80.3408 0.189624i −0.366853 0.000865861i
\(220\) 3.54841 7.48671i 0.0161291 0.0340305i
\(221\) 5.92385 + 33.5958i 0.0268048 + 0.152017i
\(222\) −196.555 + 212.150i −0.885381 + 0.955629i
\(223\) −25.4525 + 30.3332i −0.114137 + 0.136023i −0.820088 0.572238i \(-0.806075\pi\)
0.705951 + 0.708261i \(0.250520\pi\)
\(224\) −360.273 85.8146i −1.60836 0.383101i
\(225\) −40.0425 + 220.987i −0.177966 + 0.982164i
\(226\) 12.2047 260.777i 0.0540033 1.15388i
\(227\) −367.121 64.7334i −1.61727 0.285169i −0.709524 0.704681i \(-0.751090\pi\)
−0.907750 + 0.419512i \(0.862201\pi\)
\(228\) −31.5439 + 66.1499i −0.138350 + 0.290131i
\(229\) 270.130 + 98.3193i 1.17961 + 0.429342i 0.856063 0.516871i \(-0.172903\pi\)
0.323544 + 0.946213i \(0.395126\pi\)
\(230\) −10.7378 + 8.18603i −0.0466859 + 0.0355914i
\(231\) 314.600 + 115.347i 1.36191 + 0.499337i
\(232\) −65.8807 21.4551i −0.283968 0.0924790i
\(233\) −183.876 318.482i −0.789166 1.36688i −0.926478 0.376348i \(-0.877180\pi\)
0.137312 0.990528i \(-0.456154\pi\)
\(234\) −319.265 + 163.025i −1.36438 + 0.696686i
\(235\) 6.91234 + 3.99084i 0.0294142 + 0.0169823i
\(236\) −48.6037 13.3504i −0.205948 0.0565695i
\(237\) 225.598 267.572i 0.951891 1.12900i
\(238\) 36.5836 + 15.2879i 0.153713 + 0.0642350i
\(239\) 114.381 + 136.314i 0.478581 + 0.570350i 0.950275 0.311412i \(-0.100802\pi\)
−0.471694 + 0.881762i \(0.656357\pi\)
\(240\) 10.1175 + 1.93982i 0.0421564 + 0.00808257i
\(241\) 327.606 119.239i 1.35936 0.494766i 0.443503 0.896273i \(-0.353736\pi\)
0.915856 + 0.401507i \(0.131513\pi\)
\(242\) 46.9041 + 30.0883i 0.193819 + 0.124332i
\(243\) −123.975 + 208.996i −0.510185 + 0.860065i
\(244\) −136.768 298.165i −0.560525 1.22199i
\(245\) 17.1317 6.23544i 0.0699254 0.0254508i
\(246\) −6.04931 + 123.036i −0.0245907 + 0.500146i
\(247\) 78.1804 + 93.1718i 0.316520 + 0.377214i
\(248\) 0.0431591 + 1.26032i 0.000174029 + 0.00508194i
\(249\) 217.700 258.205i 0.874298 1.03697i
\(250\) −6.38372 20.4701i −0.0255349 0.0818802i
\(251\) −110.893 64.0244i −0.441806 0.255077i 0.262557 0.964916i \(-0.415434\pi\)
−0.704364 + 0.709839i \(0.748768\pi\)
\(252\) −40.8717 + 414.636i −0.162189 + 1.64538i
\(253\) 151.787 + 262.903i 0.599949 + 1.03914i
\(254\) −44.5488 41.0790i −0.175389 0.161729i
\(255\) −1.03550 0.379660i −0.00406077 0.00148886i
\(256\) −50.7603 + 250.917i −0.198282 + 0.980145i
\(257\) −251.532 91.5503i −0.978725 0.356227i −0.197381 0.980327i \(-0.563244\pi\)
−0.781344 + 0.624100i \(0.785466\pi\)
\(258\) −34.3556 272.519i −0.133161 1.05627i
\(259\) 549.383 + 96.8710i 2.12117 + 0.374019i
\(260\) 9.89413 13.9434i 0.0380543 0.0536286i
\(261\) −13.8976 + 76.6981i −0.0532474 + 0.293862i
\(262\) 169.172 + 327.478i 0.645694 + 1.24992i
\(263\) −167.815 + 199.995i −0.638081 + 0.760436i −0.984066 0.177805i \(-0.943101\pi\)
0.345985 + 0.938240i \(0.387545\pi\)
\(264\) 72.2424 220.064i 0.273646 0.833576i
\(265\) 3.67024 + 20.8150i 0.0138500 + 0.0785471i
\(266\) 140.210 18.0122i 0.527106 0.0677149i
\(267\) −356.744 0.842001i −1.33612 0.00315356i
\(268\) 151.409 149.523i 0.564959 0.557920i
\(269\) 316.834 1.17782 0.588910 0.808199i \(-0.299557\pi\)
0.588910 + 0.808199i \(0.299557\pi\)
\(270\) 0.623772 11.5728i 0.00231027 0.0428621i
\(271\) 175.899i 0.649072i 0.945873 + 0.324536i \(0.105208\pi\)
−0.945873 + 0.324536i \(0.894792\pi\)
\(272\) 9.69588 25.6347i 0.0356466 0.0942452i
\(273\) 598.018 + 347.151i 2.19054 + 1.27161i
\(274\) 49.8300 6.40143i 0.181861 0.0233629i
\(275\) −237.166 + 41.8188i −0.862422 + 0.152068i
\(276\) −269.206 + 264.600i −0.975383 + 0.958694i
\(277\) 12.2521 + 10.2807i 0.0442313 + 0.0371144i 0.664635 0.747168i \(-0.268587\pi\)
−0.620404 + 0.784282i \(0.713031\pi\)
\(278\) −8.01279 15.5109i −0.0288230 0.0557947i
\(279\) 1.39829 0.239755i 0.00501178 0.000859338i
\(280\) −7.43150 18.4294i −0.0265411 0.0658194i
\(281\) −55.2824 + 313.522i −0.196734 + 1.11574i 0.713193 + 0.700968i \(0.247248\pi\)
−0.909927 + 0.414768i \(0.863863\pi\)
\(282\) 205.680 + 86.5225i 0.729362 + 0.306817i
\(283\) 70.4466 193.550i 0.248928 0.683924i −0.750798 0.660531i \(-0.770331\pi\)
0.999726 0.0233925i \(-0.00744673\pi\)
\(284\) 301.798 24.4988i 1.06267 0.0862632i
\(285\) −3.87404 + 0.673674i −0.0135931 + 0.00236377i
\(286\) −282.594 260.584i −0.988091 0.911132i
\(287\) 205.778 118.806i 0.716998 0.413959i
\(288\) 287.410 + 18.4263i 0.997951 + 0.0639801i
\(289\) 143.033 247.740i 0.494924 0.857233i
\(290\) −1.10678 3.54900i −0.00381648 0.0122379i
\(291\) 69.4028 25.0752i 0.238498 0.0861691i
\(292\) 88.1320 60.8911i 0.301822 0.208531i
\(293\) 74.1234 62.1969i 0.252981 0.212276i −0.507474 0.861667i \(-0.669421\pi\)
0.760455 + 0.649391i \(0.224976\pi\)
\(294\) 453.374 232.854i 1.54209 0.792022i
\(295\) −0.924972 2.54134i −0.00313550 0.00861471i
\(296\) 53.9245 381.821i 0.182177 1.28994i
\(297\) −256.285 47.0635i −0.862914 0.158463i
\(298\) 16.3403 + 10.4821i 0.0548333 + 0.0351748i
\(299\) 214.262 + 588.681i 0.716596 + 1.96883i
\(300\) −124.206 272.473i −0.414019 0.908244i
\(301\) −405.870 + 340.566i −1.34841 + 1.13145i
\(302\) −173.346 72.4397i −0.573994 0.239866i
\(303\) 24.9621 139.639i 0.0823833 0.460855i
\(304\) −15.7603 96.4352i −0.0518431 0.317221i
\(305\) 8.80046 15.2428i 0.0288540 0.0499765i
\(306\) −30.0487 6.90970i −0.0981985 0.0225807i
\(307\) 234.193 135.212i 0.762845 0.440429i −0.0674715 0.997721i \(-0.521493\pi\)
0.830316 + 0.557293i \(0.188160\pi\)
\(308\) −432.266 + 112.926i −1.40346 + 0.366643i
\(309\) −102.206 122.390i −0.330764 0.396083i
\(310\) −0.0538091 + 0.0410219i −0.000173578 + 0.000132329i
\(311\) 6.59888 18.1303i 0.0212183 0.0582967i −0.928631 0.371004i \(-0.879014\pi\)
0.949850 + 0.312707i \(0.101236\pi\)
\(312\) 225.674 421.341i 0.723315 1.35045i
\(313\) 84.3023 478.102i 0.269337 1.52748i −0.487059 0.873369i \(-0.661930\pi\)
0.756396 0.654114i \(-0.226959\pi\)
\(314\) −12.6051 + 269.332i −0.0401437 + 0.857746i
\(315\) −19.4128 + 11.0861i −0.0616279 + 0.0351941i
\(316\) −43.5839 + 464.607i −0.137924 + 1.47028i
\(317\) 420.029 + 352.446i 1.32501 + 1.11182i 0.985216 + 0.171318i \(0.0548024\pi\)
0.339796 + 0.940499i \(0.389642\pi\)
\(318\) 174.584 + 564.505i 0.549005 + 1.77517i
\(319\) −82.3134 + 14.5141i −0.258036 + 0.0454987i
\(320\) −12.5558 + 5.56988i −0.0392368 + 0.0174059i
\(321\) −81.1064 + 46.5719i −0.252668 + 0.145084i
\(322\) 710.354 + 159.819i 2.20607 + 0.496332i
\(323\) 10.4612i 0.0323876i
\(324\) −23.1648 323.171i −0.0714964 0.997441i
\(325\) −496.970 −1.52914
\(326\) −88.9157 + 395.207i −0.272748 + 1.21229i
\(327\) −93.4981 162.830i −0.285927 0.497950i
\(328\) −86.9430 139.347i −0.265070 0.424839i
\(329\) −74.7406 423.875i −0.227175 1.28837i
\(330\) 11.8727 3.67187i 0.0359780 0.0111269i
\(331\) −349.160 + 416.112i −1.05486 + 1.25714i −0.0895664 + 0.995981i \(0.528548\pi\)
−0.965297 + 0.261156i \(0.915896\pi\)
\(332\) −42.0581 + 448.341i −0.126681 + 1.35043i
\(333\) −433.807 2.04779i −1.30272 0.00614952i
\(334\) 298.277 + 13.9598i 0.893045 + 0.0417957i
\(335\) 11.2441 + 1.98264i 0.0335646 + 0.00591834i
\(336\) −270.567 485.185i −0.805258 1.44400i
\(337\) 187.444 + 68.2240i 0.556214 + 0.202445i 0.604805 0.796374i \(-0.293251\pi\)
−0.0485915 + 0.998819i \(0.515473\pi\)
\(338\) −276.008 362.045i −0.816593 1.07114i
\(339\) 300.572 251.003i 0.886643 0.740422i
\(340\) 1.42279 0.371692i 0.00418467 0.00109321i
\(341\) 0.760637 + 1.31746i 0.00223061 + 0.00386352i
\(342\) −105.097 + 32.2318i −0.307302 + 0.0942449i
\(343\) −360.283 208.010i −1.05039 0.606442i
\(344\) 244.875 + 272.330i 0.711845 + 0.791658i
\(345\) −19.9373 3.56402i −0.0577893 0.0103305i
\(346\) −241.094 + 576.930i −0.696802 + 1.66743i
\(347\) −19.9944 23.8284i −0.0576208 0.0686697i 0.736464 0.676477i \(-0.236494\pi\)
−0.794085 + 0.607807i \(0.792050\pi\)
\(348\) −43.1081 94.5675i −0.123874 0.271746i
\(349\) −181.722 + 66.1414i −0.520694 + 0.189517i −0.588978 0.808149i \(-0.700470\pi\)
0.0682846 + 0.997666i \(0.478247\pi\)
\(350\) −311.874 + 486.175i −0.891069 + 1.38907i
\(351\) −503.975 187.484i −1.43583 0.534142i
\(352\) 88.2388 + 295.950i 0.250678 + 0.840768i
\(353\) −247.782 + 90.1852i −0.701932 + 0.255482i −0.668235 0.743950i \(-0.732950\pi\)
−0.0336962 + 0.999432i \(0.510728\pi\)
\(354\) −34.5419 67.2540i −0.0975760 0.189983i
\(355\) 10.4429 + 12.4454i 0.0294167 + 0.0350575i
\(356\) 391.340 270.380i 1.09927 0.759493i
\(357\) 20.2094 + 55.9353i 0.0566090 + 0.156682i
\(358\) −51.2708 + 15.9891i −0.143215 + 0.0446624i
\(359\) −250.254 144.484i −0.697086 0.402463i 0.109175 0.994023i \(-0.465179\pi\)
−0.806261 + 0.591560i \(0.798512\pi\)
\(360\) 8.11787 + 13.1487i 0.0225496 + 0.0365241i
\(361\) −161.851 280.335i −0.448342 0.776550i
\(362\) 390.588 423.580i 1.07897 1.17011i
\(363\) 14.3206 + 82.3520i 0.0394506 + 0.226865i
\(364\) −918.946 + 74.5964i −2.52458 + 0.204935i
\(365\) 5.40101 + 1.96581i 0.0147973 + 0.00538577i
\(366\) 190.796 453.558i 0.521301 1.23923i
\(367\) −443.020 78.1163i −1.20714 0.212851i −0.466356 0.884597i \(-0.654434\pi\)
−0.740782 + 0.671746i \(0.765545\pi\)
\(368\) 93.6027 494.514i 0.254355 1.34379i
\(369\) −142.106 + 118.103i −0.385112 + 0.320061i
\(370\) 18.3822 9.49604i 0.0496815 0.0256650i
\(371\) 732.629 873.113i 1.97474 2.35340i
\(372\) −1.34905 + 1.32596i −0.00362647 + 0.00356442i
\(373\) −40.7778 231.262i −0.109324 0.620006i −0.989405 0.145183i \(-0.953623\pi\)
0.880081 0.474824i \(-0.157488\pi\)
\(374\) −4.21276 32.7929i −0.0112641 0.0876816i
\(375\) 16.1475 27.8164i 0.0430599 0.0741771i
\(376\) −291.057 + 61.6607i −0.774088 + 0.163991i
\(377\) −172.484 −0.457517
\(378\) −499.682 + 375.373i −1.32191 + 0.993049i
\(379\) 24.5603i 0.0648028i 0.999475 + 0.0324014i \(0.0103155\pi\)
−0.999475 + 0.0324014i \(0.989685\pi\)
\(380\) 3.73046 3.68399i 0.00981700 0.00969470i
\(381\) 0.214537 90.8963i 0.000563090 0.238573i
\(382\) −57.4559 447.248i −0.150408 1.17081i
\(383\) 586.109 103.347i 1.53031 0.269835i 0.655835 0.754905i \(-0.272317\pi\)
0.874475 + 0.485070i \(0.161206\pi\)
\(384\) −328.780 + 198.394i −0.856197 + 0.516650i
\(385\) −18.3634 15.4087i −0.0476972 0.0400227i
\(386\) 366.245 189.199i 0.948822 0.490152i
\(387\) 266.324 314.367i 0.688176 0.812317i
\(388\) −56.9392 + 80.2424i −0.146751 + 0.206810i
\(389\) −57.6262 + 326.814i −0.148139 + 0.840139i 0.816654 + 0.577128i \(0.195827\pi\)
−0.964793 + 0.263011i \(0.915284\pi\)
\(390\) 25.4444 3.20769i 0.0652420 0.00822486i
\(391\) −18.4288 + 50.6327i −0.0471325 + 0.129495i
\(392\) −319.443 + 599.806i −0.814904 + 1.53012i
\(393\) −190.325 + 519.099i −0.484288 + 1.32086i
\(394\) 170.938 185.377i 0.433853 0.470499i
\(395\) −21.6836 + 12.5190i −0.0548952 + 0.0316938i
\(396\) 316.471 143.360i 0.799169 0.362021i
\(397\) −42.7323 + 74.0146i −0.107638 + 0.186435i −0.914813 0.403878i \(-0.867662\pi\)
0.807175 + 0.590312i \(0.200995\pi\)
\(398\) 142.302 44.3778i 0.357542 0.111502i
\(399\) 162.113 + 136.682i 0.406297 + 0.342561i
\(400\) 343.242 + 203.950i 0.858106 + 0.509876i
\(401\) 129.017 108.258i 0.321738 0.269970i −0.467586 0.883948i \(-0.654876\pi\)
0.789323 + 0.613978i \(0.210432\pi\)
\(402\) 318.807 + 15.6748i 0.793053 + 0.0389921i
\(403\) 1.07371 + 2.95000i 0.00266430 + 0.00732011i
\(404\) 78.8568 + 171.914i 0.195190 + 0.425530i
\(405\) 13.4221 11.0482i 0.0331409 0.0272795i
\(406\) −108.242 + 168.737i −0.266607 + 0.415609i
\(407\) −159.101 437.126i −0.390911 1.07402i
\(408\) 38.1637 15.2845i 0.0935384 0.0374621i
\(409\) −106.572 + 89.4245i −0.260567 + 0.218642i −0.763707 0.645563i \(-0.776623\pi\)
0.503139 + 0.864205i \(0.332178\pi\)
\(410\) 3.39796 8.13124i 0.00828772 0.0198323i
\(411\) 57.6140 + 48.5761i 0.140180 + 0.118190i
\(412\) 205.011 + 56.3121i 0.497599 + 0.136680i
\(413\) −72.9187 + 126.299i −0.176559 + 0.305808i
\(414\) −565.457 29.1398i −1.36584 0.0703861i
\(415\) −20.9245 + 12.0808i −0.0504205 + 0.0291103i
\(416\) 73.2730 + 633.070i 0.176137 + 1.52180i
\(417\) 9.01471 24.5870i 0.0216180 0.0589616i
\(418\) −71.4659 93.7430i −0.170971 0.224266i
\(419\) −48.4909 + 133.228i −0.115730 + 0.317966i −0.984011 0.178107i \(-0.943003\pi\)
0.868281 + 0.496073i \(0.165225\pi\)
\(420\) 12.8296 26.9047i 0.0305467 0.0640587i
\(421\) 18.5532 105.220i 0.0440694 0.249930i −0.954812 0.297209i \(-0.903944\pi\)
0.998882 + 0.0472796i \(0.0150552\pi\)
\(422\) 54.7053 + 2.56028i 0.129633 + 0.00606702i
\(423\) 112.990 + 315.058i 0.267117 + 0.744818i
\(424\) −620.504 485.466i −1.46345 1.14497i
\(425\) −32.7443 27.4757i −0.0770454 0.0646488i
\(426\) 333.170 + 308.679i 0.782089 + 0.724598i
\(427\) −934.714 + 164.815i −2.18903 + 0.385984i
\(428\) 53.4087 112.686i 0.124787 0.263284i
\(429\) 1.36091 576.598i 0.00317229 1.34405i
\(430\) −4.31323 + 19.1712i −0.0100308 + 0.0445842i
\(431\) 560.222i 1.29982i −0.760012 0.649910i \(-0.774807\pi\)
0.760012 0.649910i \(-0.225193\pi\)
\(432\) 271.139 + 336.314i 0.627638 + 0.778506i
\(433\) 381.789 0.881731 0.440865 0.897573i \(-0.354672\pi\)
0.440865 + 0.897573i \(0.354672\pi\)
\(434\) 3.55973 + 0.800887i 0.00820215 + 0.00184536i
\(435\) 2.79957 4.82268i 0.00643580 0.0110866i
\(436\) 226.229 + 107.224i 0.518873 + 0.245926i
\(437\) 33.3589 + 189.188i 0.0763362 + 0.432924i
\(438\) 156.680 + 35.6393i 0.357716 + 0.0813683i
\(439\) 310.625 370.189i 0.707575 0.843255i −0.285786 0.958293i \(-0.592255\pi\)
0.993361 + 0.115038i \(0.0366991\pi\)
\(440\) −10.2104 + 13.0505i −0.0232054 + 0.0296603i
\(441\) 717.165 + 264.867i 1.62622 + 0.600606i
\(442\) 3.18968 68.1536i 0.00721648 0.154194i
\(443\) −310.302 54.7146i −0.700456 0.123509i −0.187932 0.982182i \(-0.560178\pi\)
−0.512524 + 0.858673i \(0.671289\pi\)
\(444\) 476.655 327.665i 1.07355 0.737985i
\(445\) 23.9825 + 8.72893i 0.0538933 + 0.0196156i
\(446\) 62.9798 48.0133i 0.141210 0.107653i
\(447\) 4.98895 + 28.6896i 0.0111610 + 0.0641825i
\(448\) 665.301 + 325.602i 1.48505 + 0.726791i
\(449\) 408.322 + 707.234i 0.909402 + 1.57513i 0.814897 + 0.579606i \(0.196794\pi\)
0.0945056 + 0.995524i \(0.469873\pi\)
\(450\) 175.144 413.617i 0.389210 0.919149i
\(451\) −171.592 99.0687i −0.380470 0.219665i
\(452\) −138.295 + 503.478i −0.305961 + 1.11389i
\(453\) −95.7595 265.042i −0.211390 0.585081i
\(454\) 687.919 + 287.474i 1.51524 + 0.633204i
\(455\) −31.7978 37.8951i −0.0698852 0.0832859i
\(456\) 90.5888 115.226i 0.198660 0.252688i
\(457\) 48.2527 17.5625i 0.105586 0.0384301i −0.288687 0.957424i \(-0.593219\pi\)
0.394273 + 0.918993i \(0.370996\pi\)
\(458\) −483.923 310.429i −1.05660 0.677793i
\(459\) −22.8405 40.2159i −0.0497615 0.0876164i
\(460\) 24.5454 11.2590i 0.0533596 0.0244760i
\(461\) 559.359 203.590i 1.21336 0.441627i 0.345492 0.938422i \(-0.387712\pi\)
0.867868 + 0.496795i \(0.165490\pi\)
\(462\) −563.220 363.176i −1.21909 0.786096i
\(463\) 277.457 + 330.660i 0.599259 + 0.714169i 0.977357 0.211597i \(-0.0678663\pi\)
−0.378098 + 0.925766i \(0.623422\pi\)
\(464\) 119.129 + 70.7852i 0.256744 + 0.152554i
\(465\) −0.0999100 0.0178601i −0.000214860 3.84088e-5i
\(466\) 218.970 + 702.151i 0.469894 + 1.50676i
\(467\) 654.186 + 377.694i 1.40083 + 0.808767i 0.994477 0.104951i \(-0.0334685\pi\)
0.406349 + 0.913718i \(0.366802\pi\)
\(468\) 694.526 177.942i 1.48403 0.380217i
\(469\) −307.848 533.208i −0.656392 1.13690i
\(470\) −11.7356 10.8215i −0.0249693 0.0230245i
\(471\) −310.432 + 259.237i −0.659091 + 0.550398i
\(472\) 88.9760 + 47.3865i 0.188509 + 0.100395i
\(473\) 415.161 + 151.106i 0.877719 + 0.319464i
\(474\) −557.656 + 423.057i −1.17649 + 0.892526i
\(475\) −150.082 26.4636i −0.315963 0.0557128i
\(476\) −64.6715 45.8903i −0.135865 0.0964081i
\(477\) −446.782 + 765.482i −0.936651 + 1.60478i
\(478\) −163.342 316.192i −0.341719 0.661489i
\(479\) −379.355 + 452.098i −0.791974 + 0.943837i −0.999408 0.0344117i \(-0.989044\pi\)
0.207434 + 0.978249i \(0.433489\pi\)
\(480\) −18.8900 8.22659i −0.0393543 0.0171387i
\(481\) −166.694 945.370i −0.346558 1.96543i
\(482\) −691.578 + 88.8439i −1.43481 + 0.184323i
\(483\) 543.849 + 947.130i 1.12598 + 1.96093i
\(484\) −78.3119 79.2998i −0.161801 0.163843i
\(485\) −5.27924 −0.0108850
\(486\) 333.652 353.373i 0.686526 0.727105i
\(487\) 474.186i 0.973688i 0.873489 + 0.486844i \(0.161852\pi\)
−0.873489 + 0.486844i \(0.838148\pi\)
\(488\) 135.972 + 641.829i 0.278631 + 1.31522i
\(489\) −526.938 + 302.572i −1.07758 + 0.618756i
\(490\) −36.1652 + 4.64598i −0.0738065 + 0.00948159i
\(491\) 280.087 49.3868i 0.570441 0.100584i 0.119015 0.992892i \(-0.462026\pi\)
0.451427 + 0.892308i \(0.350915\pi\)
\(492\) 65.8159 237.415i 0.133772 0.482551i
\(493\) −11.3646 9.53602i −0.0230519 0.0193428i
\(494\) −111.646 216.120i −0.226003 0.437490i
\(495\) 16.0997 + 9.39678i 0.0325247 + 0.0189834i
\(496\) 0.469063 2.47812i 0.000945692 0.00499620i
\(497\) 152.131 862.777i 0.306098 1.73597i
\(498\) −538.133 + 408.246i −1.08059 + 0.819772i
\(499\) −128.475 + 352.983i −0.257465 + 0.707380i 0.741857 + 0.670559i \(0.233946\pi\)
−0.999322 + 0.0368216i \(0.988277\pi\)
\(500\) 3.46980 + 42.7441i 0.00693960 + 0.0854883i
\(501\) 287.097 + 343.794i 0.573048 + 0.686215i
\(502\) 188.272 + 173.608i 0.375043 + 0.345832i
\(503\) −461.157 + 266.249i −0.916814 + 0.529323i −0.882617 0.470092i \(-0.844221\pi\)
−0.0341967 + 0.999415i \(0.510887\pi\)
\(504\) 261.774 791.107i 0.519393 1.56966i
\(505\) −5.07411 + 8.78861i −0.0100477 + 0.0174032i
\(506\) −180.757 579.617i −0.357228 1.14549i
\(507\) 120.168 672.226i 0.237018 1.32589i
\(508\) 68.8912 + 99.7113i 0.135613 + 0.196282i
\(509\) 142.299 119.403i 0.279565 0.234583i −0.492213 0.870475i \(-0.663812\pi\)
0.771778 + 0.635892i \(0.219367\pi\)
\(510\) 1.85382 + 1.19538i 0.00363493 + 0.00234388i
\(511\) −106.006 291.250i −0.207449 0.569962i
\(512\) 209.196 467.312i 0.408587 0.912719i
\(513\) −142.214 83.4557i −0.277221 0.162682i
\(514\) 450.606 + 289.057i 0.876666 + 0.562368i
\(515\) 3.90154 + 10.7194i 0.00757581 + 0.0208144i
\(516\) −52.5992 + 546.827i −0.101936 + 1.05974i
\(517\) −274.940 + 230.702i −0.531799 + 0.446232i
\(518\) −1029.44 430.194i −1.98734 0.830491i
\(519\) −882.111 + 318.706i −1.69964 + 0.614078i
\(520\) −25.4268 + 22.8633i −0.0488977 + 0.0439679i
\(521\) 87.3646 151.320i 0.167686 0.290441i −0.769920 0.638141i \(-0.779704\pi\)
0.937606 + 0.347700i \(0.113037\pi\)
\(522\) 60.7875 143.554i 0.116451 0.275008i
\(523\) 721.777 416.718i 1.38007 0.796784i 0.387903 0.921700i \(-0.373200\pi\)
0.992167 + 0.124916i \(0.0398662\pi\)
\(524\) −186.331 713.249i −0.355593 1.36116i
\(525\) −853.603 + 148.437i −1.62591 + 0.282737i
\(526\) 415.243 316.564i 0.789435 0.601833i
\(527\) −0.0923506 + 0.253731i −0.000175238 + 0.000481463i
\(528\) −237.569 + 397.680i −0.449941 + 0.753182i
\(529\) −79.9609 + 453.481i −0.151155 + 0.857242i
\(530\) 1.97623 42.2260i 0.00372874 0.0796716i
\(531\) 39.2907 106.385i 0.0739938 0.200349i
\(532\) −281.489 26.4060i −0.529115 0.0496353i
\(533\) −313.220 262.823i −0.587656 0.493102i
\(534\) 695.718 + 158.252i 1.30284 + 0.296352i
\(535\) 6.58927 1.16187i 0.0123164 0.00217171i
\(536\) −361.073 + 225.284i −0.673644 + 0.420307i
\(537\) −69.6711 40.4442i −0.129741 0.0753150i
\(538\) −618.214 139.089i −1.14910 0.258530i
\(539\) 819.793i 1.52095i
\(540\) −6.29752 + 22.3072i −0.0116621 + 0.0413097i
\(541\) 313.109 0.578760 0.289380 0.957214i \(-0.406551\pi\)
0.289380 + 0.957214i \(0.406551\pi\)
\(542\) 77.2189 343.218i 0.142470 0.633243i
\(543\) 864.262 + 2.03987i 1.59164 + 0.00375666i
\(544\) −30.1724 + 45.7626i −0.0554640 + 0.0841225i
\(545\) 2.33257 + 13.2287i 0.00427995 + 0.0242728i
\(546\) −1014.47 939.897i −1.85801 1.72142i
\(547\) 372.771 444.251i 0.681482 0.812158i −0.308816 0.951122i \(-0.599933\pi\)
0.990297 + 0.138964i \(0.0443771\pi\)
\(548\) −100.040 9.38455i −0.182554 0.0171251i
\(549\) 694.755 249.162i 1.26549 0.453848i
\(550\) 481.123 + 22.5172i 0.874769 + 0.0409404i
\(551\) −52.0892 9.18473i −0.0945358 0.0166692i
\(552\) 641.439 398.113i 1.16203 0.721220i
\(553\) 1268.76 + 461.790i 2.29432 + 0.835063i
\(554\) −19.3933 25.4386i −0.0350060 0.0459180i
\(555\) 29.1383 + 10.6834i 0.0525015 + 0.0192494i
\(556\) 8.82552 + 33.7829i 0.0158732 + 0.0607606i
\(557\) −39.2530 67.9882i −0.0704722 0.122061i 0.828636 0.559788i \(-0.189117\pi\)
−0.899108 + 0.437726i \(0.855784\pi\)
\(558\) −2.83362 0.146026i −0.00507818 0.000261695i
\(559\) 789.570 + 455.859i 1.41247 + 0.815489i
\(560\) 6.41007 + 39.2224i 0.0114466 + 0.0700400i
\(561\) 31.9678 37.9156i 0.0569835 0.0675857i
\(562\) 245.503 587.483i 0.436839 1.04534i
\(563\) 28.0423 + 33.4195i 0.0498087 + 0.0593597i 0.790374 0.612625i \(-0.209886\pi\)
−0.740565 + 0.671985i \(0.765442\pi\)
\(564\) −363.345 259.118i −0.644229 0.459429i
\(565\) −26.3253 + 9.58163i −0.0465935 + 0.0169586i
\(566\) −222.425 + 346.735i −0.392977 + 0.612606i
\(567\) −921.633 171.496i −1.62546 0.302462i
\(568\) −599.631 84.6856i −1.05569 0.149094i
\(569\) −623.877 + 227.073i −1.09645 + 0.399074i −0.826005 0.563663i \(-0.809392\pi\)
−0.270441 + 0.962737i \(0.587169\pi\)
\(570\) 7.85487 + 0.386201i 0.0137805 + 0.000677545i
\(571\) 316.761 + 377.501i 0.554747 + 0.661122i 0.968426 0.249301i \(-0.0802009\pi\)
−0.413679 + 0.910423i \(0.635756\pi\)
\(572\) 437.010 + 632.516i 0.764003 + 1.10580i
\(573\) 435.994 517.113i 0.760896 0.902467i
\(574\) −453.676 + 141.482i −0.790376 + 0.246484i
\(575\) −679.786 392.475i −1.18224 0.682565i
\(576\) −552.713 162.126i −0.959571 0.281468i
\(577\) −4.25933 7.37738i −0.00738186 0.0127858i 0.862311 0.506379i \(-0.169016\pi\)
−0.869693 + 0.493594i \(0.835683\pi\)
\(578\) −387.847 + 420.606i −0.671015 + 0.727692i
\(579\) 580.550 + 212.856i 1.00268 + 0.367627i
\(580\) 0.601578 + 7.41078i 0.00103720 + 0.0127772i
\(581\) 1224.34 + 445.623i 2.10730 + 0.766993i
\(582\) −146.428 + 18.4598i −0.251595 + 0.0317179i
\(583\) −935.977 165.038i −1.60545 0.283084i
\(584\) −198.696 + 80.1225i −0.340234 + 0.137196i
\(585\) 29.3516 + 24.8660i 0.0501737 + 0.0425060i
\(586\) −171.936 + 88.8203i −0.293406 + 0.151571i
\(587\) 265.990 316.994i 0.453134 0.540024i −0.490313 0.871546i \(-0.663118\pi\)
0.943447 + 0.331522i \(0.107562\pi\)
\(588\) −986.857 + 255.322i −1.67833 + 0.434221i
\(589\) 0.167169 + 0.948061i 0.000283818 + 0.00160961i
\(590\) 0.689190 + 5.36479i 0.00116812 + 0.00909286i
\(591\) 378.238 + 0.892733i 0.639997 + 0.00151055i
\(592\) −272.837 + 721.347i −0.460874 + 1.21849i
\(593\) −105.821 −0.178450 −0.0892252 0.996011i \(-0.528439\pi\)
−0.0892252 + 0.996011i \(0.528439\pi\)
\(594\) 479.410 + 204.340i 0.807087 + 0.344007i
\(595\) 4.25481i 0.00715094i
\(596\) −27.2821 27.6263i −0.0457753 0.0463528i
\(597\) 193.372 + 112.253i 0.323906 + 0.188028i
\(598\) −159.645 1242.71i −0.266965 2.07811i
\(599\) −430.103 + 75.8387i −0.718035 + 0.126609i −0.520715 0.853730i \(-0.674335\pi\)
−0.197319 + 0.980339i \(0.563224\pi\)
\(600\) 122.738 + 586.183i 0.204564 + 0.976971i
\(601\) −756.042 634.394i −1.25797 1.05556i −0.995895 0.0905178i \(-0.971148\pi\)
−0.262078 0.965047i \(-0.584408\pi\)
\(602\) 941.452 486.345i 1.56387 0.807882i
\(603\) 306.025 + 368.222i 0.507504 + 0.610650i
\(604\) 306.437 + 217.445i 0.507346 + 0.360008i
\(605\) 1.03840 5.88907i 0.00171637 0.00973400i
\(606\) −110.008 + 261.509i −0.181531 + 0.431533i
\(607\) 258.006 708.866i 0.425051 1.16782i −0.523730 0.851884i \(-0.675460\pi\)
0.948781 0.315934i \(-0.102318\pi\)
\(608\) −11.5828 + 195.086i −0.0190507 + 0.320864i
\(609\) −296.261 + 51.5181i −0.486471 + 0.0845945i
\(610\) −23.8632 + 25.8789i −0.0391201 + 0.0424244i
\(611\) −641.422 + 370.325i −1.04979 + 0.606097i
\(612\) 55.5986 + 26.6737i 0.0908473 + 0.0435845i
\(613\) 88.3953 153.105i 0.144201 0.249764i −0.784874 0.619656i \(-0.787272\pi\)
0.929075 + 0.369892i \(0.120605\pi\)
\(614\) −516.321 + 161.018i −0.840914 + 0.262245i
\(615\) 12.4324 4.49184i 0.0202154 0.00730380i
\(616\) 893.022 30.5811i 1.44971 0.0496447i
\(617\) −385.320 + 323.322i −0.624506 + 0.524023i −0.899216 0.437504i \(-0.855862\pi\)
0.274710 + 0.961527i \(0.411418\pi\)
\(618\) 145.698 + 283.678i 0.235758 + 0.459026i
\(619\) 82.2498 + 225.980i 0.132875 + 0.365072i 0.988231 0.152969i \(-0.0488836\pi\)
−0.855356 + 0.518041i \(0.826661\pi\)
\(620\) 0.123002 0.0564210i 0.000198391 9.10016e-5i
\(621\) −541.306 654.459i −0.871668 1.05388i
\(622\) −20.8350 + 32.4794i −0.0334968 + 0.0522177i
\(623\) −470.709 1293.26i −0.755552 2.07586i
\(624\) −625.309 + 723.062i −1.00210 + 1.15875i
\(625\) 476.133 399.523i 0.761813 0.639237i
\(626\) −374.378 + 895.877i −0.598048 + 1.43111i
\(627\) 31.1147 174.057i 0.0496248 0.277603i
\(628\) 142.831 519.994i 0.227438 0.828016i
\(629\) 41.2830 71.5043i 0.0656328 0.113679i
\(630\) 42.7455 13.1094i 0.0678500 0.0208086i
\(631\) −72.3715 + 41.7837i −0.114693 + 0.0662182i −0.556249 0.831016i \(-0.687760\pi\)
0.441556 + 0.897234i \(0.354427\pi\)
\(632\) 289.003 887.420i 0.457283 1.40415i
\(633\) 52.6549 + 63.0533i 0.0831830 + 0.0996102i
\(634\) −664.848 872.093i −1.04866 1.37554i
\(635\) −2.22408 + 6.11062i −0.00350249 + 0.00962302i
\(636\) −92.8365 1178.12i −0.145969 1.85239i
\(637\) −293.768 + 1666.04i −0.461174 + 2.61545i
\(638\) 166.984 + 7.81506i 0.261730 + 0.0122493i
\(639\) −3.21595 + 681.271i −0.00503278 + 1.06615i
\(640\) 26.9443 5.35616i 0.0421005 0.00836899i
\(641\) −709.440 595.291i −1.10677 0.928691i −0.108909 0.994052i \(-0.534736\pi\)
−0.997862 + 0.0653607i \(0.979180\pi\)
\(642\) 178.702 55.2669i 0.278352 0.0860855i
\(643\) −0.379828 + 0.0669739i −0.000590712 + 0.000104159i −0.173944 0.984756i \(-0.555651\pi\)
0.173353 + 0.984860i \(0.444540\pi\)
\(644\) −1315.90 623.686i −2.04333 0.968457i
\(645\) −25.5613 + 14.6775i −0.0396300 + 0.0227558i
\(646\) 4.59244 20.4122i 0.00710903 0.0315978i
\(647\) 295.175i 0.456222i 0.973635 + 0.228111i \(0.0732549\pi\)
−0.973635 + 0.228111i \(0.926745\pi\)
\(648\) −96.6710 + 640.749i −0.149184 + 0.988809i
\(649\) 121.609 0.187379
\(650\) 969.701 + 218.168i 1.49185 + 0.335643i
\(651\) 2.72534 + 4.74627i 0.00418639 + 0.00729073i
\(652\) 346.989 732.105i 0.532192 1.12286i
\(653\) −19.2754 109.316i −0.0295182 0.167406i 0.966485 0.256723i \(-0.0826428\pi\)
−0.996003 + 0.0893167i \(0.971532\pi\)
\(654\) 110.954 + 358.763i 0.169655 + 0.548567i
\(655\) 25.4248 30.3001i 0.0388165 0.0462597i
\(656\) 108.472 + 310.066i 0.165354 + 0.472661i
\(657\) 119.525 + 209.299i 0.181925 + 0.318567i
\(658\) −40.2439 + 859.887i −0.0611609 + 1.30682i
\(659\) 1084.88 + 191.294i 1.64626 + 0.290280i 0.918461 0.395512i \(-0.129433\pi\)
0.727797 + 0.685792i \(0.240544\pi\)
\(660\) −24.7783 + 1.95255i −0.0375429 + 0.00295841i
\(661\) 471.148 + 171.484i 0.712781 + 0.259431i 0.672858 0.739772i \(-0.265067\pi\)
0.0399230 + 0.999203i \(0.487289\pi\)
\(662\) 863.961 658.649i 1.30508 0.994938i
\(663\) 78.5538 65.5992i 0.118482 0.0989429i
\(664\) 278.885 856.352i 0.420008 1.28969i
\(665\) −7.58485 13.1373i −0.0114058 0.0197554i
\(666\) 845.556 + 194.435i 1.26960 + 0.291945i
\(667\) −235.934 136.217i −0.353724 0.204223i
\(668\) −575.877 158.181i −0.862092 0.236798i
\(669\) 116.938 + 20.9040i 0.174795 + 0.0312466i
\(670\) −21.0695 8.80472i −0.0314470 0.0131414i
\(671\) 508.735 + 606.287i 0.758175 + 0.903558i
\(672\) 314.942 + 1065.48i 0.468664 + 1.58554i
\(673\) −745.558 + 271.361i −1.10781 + 0.403211i −0.830190 0.557480i \(-0.811768\pi\)
−0.277622 + 0.960690i \(0.589546\pi\)
\(674\) −335.795 215.408i −0.498213 0.319596i
\(675\) 634.740 225.950i 0.940355 0.334740i
\(676\) 379.618 + 827.598i 0.561565 + 1.22426i
\(677\) −524.604 + 190.940i −0.774896 + 0.282039i −0.699043 0.715080i \(-0.746390\pi\)
−0.0758531 + 0.997119i \(0.524168\pi\)
\(678\) −696.673 + 357.814i −1.02754 + 0.527749i
\(679\) 182.991 + 218.080i 0.269501 + 0.321179i
\(680\) −2.93935 + 0.100657i −0.00432257 + 0.000148025i
\(681\) 380.018 + 1051.81i 0.558030 + 1.54451i
\(682\) −0.905813 2.90458i −0.00132817 0.00425892i
\(683\) −921.593 532.082i −1.34933 0.779037i −0.361176 0.932498i \(-0.617625\pi\)
−0.988155 + 0.153461i \(0.950958\pi\)
\(684\) 219.218 16.7540i 0.320495 0.0244942i
\(685\) −2.69562 4.66894i −0.00393520 0.00681597i
\(686\) 611.679 + 564.037i 0.891660 + 0.822211i
\(687\) −147.749 849.648i −0.215064 1.23675i
\(688\) −358.253 638.877i −0.520717 0.928601i
\(689\) −1843.02 670.803i −2.67491 0.973589i
\(690\) 37.3376 + 15.7066i 0.0541124 + 0.0227632i
\(691\) −135.724 23.9318i −0.196417 0.0346336i 0.0745742 0.997215i \(-0.476240\pi\)
−0.270991 + 0.962582i \(0.587351\pi\)
\(692\) 723.698 1019.88i 1.04581 1.47382i
\(693\) −169.883 990.780i −0.245141 1.42970i
\(694\) 28.5530 + 55.2721i 0.0411427 + 0.0796427i
\(695\) −1.20424 + 1.43516i −0.00173272 + 0.00206497i
\(696\) 42.5989 + 203.447i 0.0612053 + 0.292309i
\(697\) −6.10685 34.6337i −0.00876163 0.0496897i
\(698\) 383.617 49.2815i 0.549594 0.0706039i
\(699\) −553.881 + 954.141i −0.792390 + 1.36501i
\(700\) 821.966 811.726i 1.17424 1.15961i
\(701\) 1148.72 1.63869 0.819347 0.573298i \(-0.194336\pi\)
0.819347 + 0.573298i \(0.194336\pi\)
\(702\) 901.065 + 587.067i 1.28357 + 0.836277i
\(703\) 294.373i 0.418738i
\(704\) −42.2527 616.202i −0.0600181 0.875287i
\(705\) 0.0565160 23.9450i 8.01645e−5 0.0339645i
\(706\) 523.069 67.1963i 0.740891 0.0951789i
\(707\) 538.930 95.0280i 0.762278 0.134410i
\(708\) 37.8748 + 146.392i 0.0534955 + 0.206768i
\(709\) 166.685 + 139.866i 0.235099 + 0.197272i 0.752724 0.658336i \(-0.228739\pi\)
−0.517625 + 0.855608i \(0.673184\pi\)
\(710\) −14.9130 28.8682i −0.0210043 0.0406595i
\(711\) −1033.13 187.202i −1.45307 0.263294i
\(712\) −882.288 + 355.775i −1.23917 + 0.499683i
\(713\) −0.861030 + 4.88315i −0.00120762 + 0.00684873i
\(714\) −14.8777 118.014i −0.0208371 0.165286i
\(715\) −14.1084 + 38.7625i −0.0197320 + 0.0542133i
\(716\) 107.060 8.69072i 0.149525 0.0121379i
\(717\) 183.766 501.208i 0.256298 0.699035i
\(718\) 424.874 + 391.782i 0.591746 + 0.545657i
\(719\) 532.823 307.625i 0.741061 0.427852i −0.0813939 0.996682i \(-0.525937\pi\)
0.822455 + 0.568830i \(0.192604\pi\)
\(720\) −10.0676 29.2197i −0.0139828 0.0405829i
\(721\) 307.572 532.730i 0.426591 0.738877i
\(722\) 192.742 + 618.048i 0.266956 + 0.856023i
\(723\) −799.611 674.175i −1.10596 0.932469i
\(724\) −948.076 + 655.032i −1.30950 + 0.904741i
\(725\) 165.558 138.920i 0.228356 0.191613i
\(726\) 8.20962 166.974i 0.0113080 0.229992i
\(727\) −263.701 724.511i −0.362724 0.996577i −0.978062 0.208313i \(-0.933203\pi\)
0.615338 0.788264i \(1.71098\pi\)
\(728\) 1825.82 + 257.860i 2.50799 + 0.354203i
\(729\) 728.927 + 10.3233i 0.999900 + 0.0141609i
\(730\) −9.67560 6.20675i −0.0132542 0.00850240i
\(731\) 26.8203 + 73.6881i 0.0366898 + 0.100804i
\(732\) −571.397 + 801.236i −0.780597 + 1.09458i
\(733\) −542.102 + 454.878i −0.739566 + 0.620570i −0.932721 0.360598i \(-0.882572\pi\)
0.193155 + 0.981168i \(0.438128\pi\)
\(734\) 830.139 + 346.907i 1.13098 + 0.472625i
\(735\) −41.8146 35.2552i −0.0568906 0.0479662i
\(736\) −399.730 + 923.818i −0.543112 + 1.25519i
\(737\) −256.704 + 444.625i −0.348310 + 0.603291i
\(738\) 329.128 168.061i 0.445973 0.227725i
\(739\) 328.811 189.839i 0.444940 0.256887i −0.260751 0.965406i \(-0.583970\pi\)
0.705691 + 0.708520i \(0.250637\pi\)
\(740\) −40.0365 + 10.4592i −0.0541033 + 0.0141341i
\(741\) 125.606 342.581i 0.169508 0.462323i
\(742\) −1812.82 + 1382.02i −2.44315 + 1.86256i
\(743\) −410.605 + 1128.13i −0.552631 + 1.51834i 0.277473 + 0.960733i \(0.410503\pi\)
−0.830104 + 0.557608i \(0.811719\pi\)
\(744\) 3.21439 1.99503i 0.00432041 0.00268149i
\(745\) 0.361755 2.05162i 0.000485578 0.00275385i
\(746\) −21.9567 + 469.146i −0.0294326 + 0.628883i
\(747\) −996.963 180.648i −1.33462 0.241831i
\(748\) −6.17594 + 65.8358i −0.00825660 + 0.0880158i
\(749\) −276.396 231.924i −0.369020 0.309644i
\(750\) −43.7187 + 47.1874i −0.0582916 + 0.0629166i
\(751\) −338.515 + 59.6894i −0.450753 + 0.0794799i −0.394416 0.918932i \(-0.629053\pi\)
−0.0563366 + 0.998412i \(0.517942\pi\)
\(752\) 594.987 + 7.45919i 0.791206 + 0.00991913i
\(753\) −0.906675 + 384.145i −0.00120408 + 0.510153i
\(754\) 336.555 + 75.7198i 0.446359 + 0.100424i
\(755\) 20.1608i