Properties

Label 43.2.g.a.9.2
Level $43$
Weight $2$
Character 43.9
Analytic conductor $0.343$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 43.g (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.343356728692\)
Analytic rank: \(0\)
Dimension: \(36\)
Relative dimension: \(3\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 9.2
Character \(\chi\) \(=\) 43.9
Dual form 43.2.g.a.24.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.11243 - 1.39495i) q^{2} +(-2.93359 - 0.442167i) q^{3} +(-0.263330 + 1.15372i) q^{4} +(-0.492700 - 0.335917i) q^{5} +(2.64662 + 4.58409i) q^{6} +(2.18154 - 3.77854i) q^{7} +(-1.31271 + 0.632167i) q^{8} +(5.54371 + 1.71001i) q^{9} +O(q^{10})\) \(q+(-1.11243 - 1.39495i) q^{2} +(-2.93359 - 0.442167i) q^{3} +(-0.263330 + 1.15372i) q^{4} +(-0.492700 - 0.335917i) q^{5} +(2.64662 + 4.58409i) q^{6} +(2.18154 - 3.77854i) q^{7} +(-1.31271 + 0.632167i) q^{8} +(5.54371 + 1.71001i) q^{9} +(0.0795092 + 1.06098i) q^{10} +(-0.452993 - 1.98469i) q^{11} +(1.28264 - 3.26811i) q^{12} +(-0.130264 + 1.73826i) q^{13} +(-7.69769 + 1.16024i) q^{14} +(1.29685 + 1.20330i) q^{15} +(4.47454 + 2.15483i) q^{16} +(1.21261 - 0.826746i) q^{17} +(-3.78164 - 9.63546i) q^{18} +(-2.07906 + 0.641305i) q^{19} +(0.517297 - 0.479982i) q^{20} +(-8.07048 + 10.1201i) q^{21} +(-2.26462 + 2.83974i) q^{22} +(1.99563 - 1.85167i) q^{23} +(4.13047 - 1.27408i) q^{24} +(-1.69679 - 4.32336i) q^{25} +(2.56969 - 1.75199i) q^{26} +(-7.48807 - 3.60606i) q^{27} +(3.78492 + 3.51189i) q^{28} +(7.48963 - 1.12888i) q^{29} +(0.235882 - 3.14762i) q^{30} +(-0.208229 + 0.530558i) q^{31} +(-1.32334 - 5.79793i) q^{32} +(0.451329 + 6.02256i) q^{33} +(-2.50222 - 0.771833i) q^{34} +(-2.34412 + 1.12887i) q^{35} +(-3.43270 + 5.94561i) q^{36} +(1.98083 + 3.43090i) q^{37} +(3.20740 + 2.18677i) q^{38} +(1.15074 - 5.04173i) q^{39} +(0.859126 + 0.129492i) q^{40} +(1.32534 + 1.66193i) q^{41} +23.0949 q^{42} +(3.81986 + 5.32998i) q^{43} +2.40907 q^{44} +(-2.15696 - 2.70475i) q^{45} +(-4.80299 - 0.723935i) q^{46} +(-2.08348 + 9.12834i) q^{47} +(-12.1737 - 8.29987i) q^{48} +(-6.01823 - 10.4239i) q^{49} +(-4.14329 + 7.17639i) q^{50} +(-3.92287 + 1.88915i) q^{51} +(-1.97117 - 0.608024i) q^{52} +(-0.441351 - 5.88942i) q^{53} +(3.29971 + 14.4570i) q^{54} +(-0.443502 + 1.13002i) q^{55} +(-0.475058 + 6.33921i) q^{56} +(6.38267 - 0.962032i) q^{57} +(-9.90645 - 9.19184i) q^{58} +(-4.60418 - 2.21726i) q^{59} +(-1.72977 + 1.17934i) q^{60} +(-3.57526 - 9.10961i) q^{61} +(0.971743 - 0.299743i) q^{62} +(18.5551 - 17.2167i) q^{63} +(-0.422726 + 0.530082i) q^{64} +(0.648092 - 0.812681i) q^{65} +(7.89909 - 7.32929i) q^{66} +(-0.506577 + 0.156258i) q^{67} +(0.634519 + 1.61673i) q^{68} +(-6.67310 + 4.54964i) q^{69} +(4.18239 + 2.01413i) q^{70} +(3.91319 + 3.63091i) q^{71} +(-8.35828 + 1.25981i) q^{72} +(-1.05058 + 14.0191i) q^{73} +(2.58239 - 6.57982i) q^{74} +(3.06604 + 13.4332i) q^{75} +(-0.192410 - 2.56753i) q^{76} +(-8.48745 - 2.61803i) q^{77} +(-8.31309 + 4.00337i) q^{78} +(-1.82633 + 3.16330i) q^{79} +(-1.48076 - 2.56476i) q^{80} +(5.99228 + 4.08546i) q^{81} +(0.843946 - 3.69757i) q^{82} +(10.2305 + 1.54199i) q^{83} +(-9.55055 - 11.9760i) q^{84} -0.875173 q^{85} +(3.18571 - 11.2578i) q^{86} -22.4706 q^{87} +(1.84930 + 2.31895i) q^{88} +(5.97021 + 0.899865i) q^{89} +(-1.37350 + 6.01770i) q^{90} +(6.28390 + 4.28429i) q^{91} +(1.61081 + 2.79000i) q^{92} +(0.845453 - 1.46437i) q^{93} +(15.0513 - 7.24833i) q^{94} +(1.23978 + 0.382420i) q^{95} +(1.31848 + 17.5939i) q^{96} +(-2.28198 - 9.99799i) q^{97} +(-7.84589 + 19.9910i) q^{98} +(0.882576 - 11.7772i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q - 10q^{2} - 16q^{3} - 18q^{4} - 17q^{5} - 4q^{6} + 6q^{7} + 18q^{8} - q^{9} + O(q^{10}) \) \( 36q - 10q^{2} - 16q^{3} - 18q^{4} - 17q^{5} - 4q^{6} + 6q^{7} + 18q^{8} - q^{9} - 7q^{10} - 4q^{11} + 2q^{12} + 18q^{14} - 3q^{15} - 10q^{16} - 10q^{17} + 11q^{18} + 10q^{19} - 3q^{20} - 21q^{21} - 3q^{22} + 4q^{23} + 31q^{24} - 2q^{25} - 15q^{26} - 4q^{27} + 20q^{28} + 9q^{29} + 88q^{30} + 40q^{31} + 48q^{32} - 11q^{33} - 42q^{34} + 11q^{35} - 47q^{36} - 19q^{37} - 21q^{38} - q^{39} - 97q^{40} - 28q^{41} + 2q^{42} - 8q^{43} + 14q^{44} - 46q^{45} - 61q^{46} - 30q^{47} - 97q^{48} + 6q^{49} - 3q^{50} + 57q^{51} - 8q^{52} - 24q^{53} + 6q^{54} + 14q^{55} + 39q^{56} + 52q^{57} + 64q^{58} - q^{59} + 111q^{60} - 14q^{61} + 33q^{62} + 47q^{63} + 48q^{64} + 38q^{65} + 79q^{66} + 66q^{67} + 66q^{68} - 7q^{69} + 47q^{70} - 33q^{71} + 26q^{72} + 29q^{73} - 40q^{74} - 55q^{75} - 39q^{76} - 27q^{77} - 126q^{78} - 17q^{79} + 8q^{80} + 38q^{81} - 54q^{82} - 23q^{83} - 155q^{84} - 56q^{85} - 45q^{86} - 86q^{87} - 17q^{88} - 19q^{89} - 127q^{90} - 13q^{91} - 18q^{92} - 30q^{93} + 44q^{94} + q^{95} - 36q^{96} - 31q^{97} - 5q^{98} - 31q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.11243 1.39495i −0.786610 0.986378i −0.999956 0.00940101i \(-0.997008\pi\)
0.213346 0.976977i \(-0.431564\pi\)
\(3\) −2.93359 0.442167i −1.69371 0.255285i −0.769906 0.638157i \(-0.779697\pi\)
−0.923802 + 0.382872i \(0.874935\pi\)
\(4\) −0.263330 + 1.15372i −0.131665 + 0.576861i
\(5\) −0.492700 0.335917i −0.220342 0.150227i 0.448119 0.893974i \(-0.352094\pi\)
−0.668461 + 0.743747i \(0.733047\pi\)
\(6\) 2.64662 + 4.58409i 1.08048 + 1.87145i
\(7\) 2.18154 3.77854i 0.824544 1.42815i −0.0777227 0.996975i \(-0.524765\pi\)
0.902267 0.431178i \(-0.141902\pi\)
\(8\) −1.31271 + 0.632167i −0.464112 + 0.223505i
\(9\) 5.54371 + 1.71001i 1.84790 + 0.570003i
\(10\) 0.0795092 + 1.06098i 0.0251430 + 0.335510i
\(11\) −0.452993 1.98469i −0.136582 0.598407i −0.996171 0.0874207i \(-0.972138\pi\)
0.859589 0.510986i \(-0.170720\pi\)
\(12\) 1.28264 3.26811i 0.370266 0.943422i
\(13\) −0.130264 + 1.73826i −0.0361289 + 0.482106i 0.949566 + 0.313567i \(0.101524\pi\)
−0.985695 + 0.168539i \(0.946095\pi\)
\(14\) −7.69769 + 1.16024i −2.05729 + 0.310087i
\(15\) 1.29685 + 1.20330i 0.334844 + 0.310690i
\(16\) 4.47454 + 2.15483i 1.11864 + 0.538706i
\(17\) 1.21261 0.826746i 0.294102 0.200515i −0.407275 0.913305i \(-0.633521\pi\)
0.701378 + 0.712790i \(0.252569\pi\)
\(18\) −3.78164 9.63546i −0.891341 2.27110i
\(19\) −2.07906 + 0.641305i −0.476969 + 0.147125i −0.523912 0.851772i \(-0.675528\pi\)
0.0469436 + 0.998898i \(0.485052\pi\)
\(20\) 0.517297 0.479982i 0.115671 0.107327i
\(21\) −8.07048 + 10.1201i −1.76112 + 2.20838i
\(22\) −2.26462 + 2.83974i −0.482818 + 0.605434i
\(23\) 1.99563 1.85167i 0.416117 0.386100i −0.444143 0.895956i \(-0.646492\pi\)
0.860260 + 0.509856i \(0.170301\pi\)
\(24\) 4.13047 1.27408i 0.843128 0.260071i
\(25\) −1.69679 4.32336i −0.339358 0.864671i
\(26\) 2.56969 1.75199i 0.503958 0.343593i
\(27\) −7.48807 3.60606i −1.44108 0.693987i
\(28\) 3.78492 + 3.51189i 0.715283 + 0.663685i
\(29\) 7.48963 1.12888i 1.39079 0.209628i 0.589434 0.807817i \(-0.299351\pi\)
0.801355 + 0.598189i \(0.204113\pi\)
\(30\) 0.235882 3.14762i 0.0430659 0.574675i
\(31\) −0.208229 + 0.530558i −0.0373990 + 0.0952911i −0.948353 0.317217i \(-0.897252\pi\)
0.910954 + 0.412508i \(0.135347\pi\)
\(32\) −1.32334 5.79793i −0.233936 1.02494i
\(33\) 0.451329 + 6.02256i 0.0785662 + 1.04839i
\(34\) −2.50222 0.771833i −0.429128 0.132368i
\(35\) −2.34412 + 1.12887i −0.396228 + 0.190813i
\(36\) −3.43270 + 5.94561i −0.572116 + 0.990934i
\(37\) 1.98083 + 3.43090i 0.325647 + 0.564037i 0.981643 0.190727i \(-0.0610846\pi\)
−0.655996 + 0.754764i \(0.727751\pi\)
\(38\) 3.20740 + 2.18677i 0.520310 + 0.354741i
\(39\) 1.15074 5.04173i 0.184266 0.807324i
\(40\) 0.859126 + 0.129492i 0.135840 + 0.0204746i
\(41\) 1.32534 + 1.66193i 0.206984 + 0.259549i 0.874478 0.485066i \(-0.161204\pi\)
−0.667494 + 0.744615i \(0.732633\pi\)
\(42\) 23.0949 3.56361
\(43\) 3.81986 + 5.32998i 0.582523 + 0.812814i
\(44\) 2.40907 0.363181
\(45\) −2.15696 2.70475i −0.321541 0.403200i
\(46\) −4.80299 0.723935i −0.708163 0.106738i
\(47\) −2.08348 + 9.12834i −0.303907 + 1.33151i 0.560266 + 0.828312i \(0.310699\pi\)
−0.864174 + 0.503193i \(0.832158\pi\)
\(48\) −12.1737 8.29987i −1.75712 1.19798i
\(49\) −6.01823 10.4239i −0.859747 1.48913i
\(50\) −4.14329 + 7.17639i −0.585950 + 1.01489i
\(51\) −3.92287 + 1.88915i −0.549312 + 0.264535i
\(52\) −1.97117 0.608024i −0.273351 0.0843178i
\(53\) −0.441351 5.88942i −0.0606242 0.808974i −0.941797 0.336181i \(-0.890865\pi\)
0.881173 0.472794i \(-0.156754\pi\)
\(54\) 3.29971 + 14.4570i 0.449034 + 1.96735i
\(55\) −0.443502 + 1.13002i −0.0598017 + 0.152372i
\(56\) −0.475058 + 6.33921i −0.0634823 + 0.847113i
\(57\) 6.38267 0.962032i 0.845405 0.127424i
\(58\) −9.90645 9.19184i −1.30078 1.20695i
\(59\) −4.60418 2.21726i −0.599413 0.288662i 0.109468 0.993990i \(-0.465085\pi\)
−0.708881 + 0.705328i \(0.750800\pi\)
\(60\) −1.72977 + 1.17934i −0.223312 + 0.152252i
\(61\) −3.57526 9.10961i −0.457765 1.16637i −0.954433 0.298426i \(-0.903539\pi\)
0.496668 0.867941i \(-0.334557\pi\)
\(62\) 0.971743 0.299743i 0.123411 0.0380674i
\(63\) 18.5551 17.2167i 2.33773 2.16910i
\(64\) −0.422726 + 0.530082i −0.0528407 + 0.0662602i
\(65\) 0.648092 0.812681i 0.0803859 0.100801i
\(66\) 7.89909 7.32929i 0.972311 0.902173i
\(67\) −0.506577 + 0.156258i −0.0618882 + 0.0190900i −0.325545 0.945527i \(-0.605548\pi\)
0.263656 + 0.964617i \(0.415071\pi\)
\(68\) 0.634519 + 1.61673i 0.0769467 + 0.196057i
\(69\) −6.67310 + 4.54964i −0.803347 + 0.547712i
\(70\) 4.18239 + 2.01413i 0.499891 + 0.240735i
\(71\) 3.91319 + 3.63091i 0.464410 + 0.430910i 0.877352 0.479848i \(-0.159308\pi\)
−0.412941 + 0.910758i \(0.635499\pi\)
\(72\) −8.35828 + 1.25981i −0.985033 + 0.148470i
\(73\) −1.05058 + 14.0191i −0.122961 + 1.64081i 0.505401 + 0.862885i \(0.331345\pi\)
−0.628362 + 0.777921i \(0.716274\pi\)
\(74\) 2.58239 6.57982i 0.300196 0.764888i
\(75\) 3.06604 + 13.4332i 0.354036 + 1.55113i
\(76\) −0.192410 2.56753i −0.0220709 0.294516i
\(77\) −8.48745 2.61803i −0.967234 0.298352i
\(78\) −8.31309 + 4.00337i −0.941272 + 0.453293i
\(79\) −1.82633 + 3.16330i −0.205478 + 0.355899i −0.950285 0.311381i \(-0.899208\pi\)
0.744807 + 0.667280i \(0.232542\pi\)
\(80\) −1.48076 2.56476i −0.165554 0.286748i
\(81\) 5.99228 + 4.08546i 0.665809 + 0.453941i
\(82\) 0.843946 3.69757i 0.0931983 0.408328i
\(83\) 10.2305 + 1.54199i 1.12294 + 0.169256i 0.684155 0.729337i \(-0.260171\pi\)
0.438784 + 0.898592i \(0.355409\pi\)
\(84\) −9.55055 11.9760i −1.04205 1.30669i
\(85\) −0.875173 −0.0949258
\(86\) 3.18571 11.2578i 0.343524 1.21396i
\(87\) −22.4706 −2.40910
\(88\) 1.84930 + 2.31895i 0.197136 + 0.247201i
\(89\) 5.97021 + 0.899865i 0.632841 + 0.0953855i 0.457626 0.889145i \(-0.348700\pi\)
0.175215 + 0.984530i \(0.443938\pi\)
\(90\) −1.37350 + 6.01770i −0.144780 + 0.634322i
\(91\) 6.28390 + 4.28429i 0.658731 + 0.449115i
\(92\) 1.61081 + 2.79000i 0.167938 + 0.290878i
\(93\) 0.845453 1.46437i 0.0876694 0.151848i
\(94\) 15.0513 7.24833i 1.55242 0.747608i
\(95\) 1.23978 + 0.382420i 0.127198 + 0.0392355i
\(96\) 1.31848 + 17.5939i 0.134567 + 1.79567i
\(97\) −2.28198 9.99799i −0.231700 1.01514i −0.948230 0.317586i \(-0.897128\pi\)
0.716530 0.697556i \(-0.245729\pi\)
\(98\) −7.84589 + 19.9910i −0.792554 + 2.01940i
\(99\) 0.882576 11.7772i 0.0887023 1.18365i
\(100\) 5.43477 0.819160i 0.543477 0.0819160i
\(101\) 8.19564 + 7.60445i 0.815497 + 0.756671i 0.972989 0.230849i \(-0.0741505\pi\)
−0.157492 + 0.987520i \(0.550341\pi\)
\(102\) 6.99921 + 3.37064i 0.693025 + 0.333743i
\(103\) −0.115290 + 0.0786031i −0.0113598 + 0.00774499i −0.568987 0.822347i \(-0.692664\pi\)
0.557627 + 0.830092i \(0.311712\pi\)
\(104\) −0.927870 2.36417i −0.0909851 0.231826i
\(105\) 7.37582 2.27514i 0.719807 0.222031i
\(106\) −7.72447 + 7.16726i −0.750267 + 0.696146i
\(107\) 3.64662 4.57272i 0.352533 0.442062i −0.573671 0.819086i \(-0.694481\pi\)
0.926203 + 0.377024i \(0.123053\pi\)
\(108\) 6.13223 7.68957i 0.590074 0.739929i
\(109\) −0.578145 + 0.536440i −0.0553762 + 0.0513816i −0.707375 0.706838i \(-0.750121\pi\)
0.651999 + 0.758220i \(0.273931\pi\)
\(110\) 2.06969 0.638415i 0.197337 0.0608705i
\(111\) −4.29392 10.9407i −0.407560 1.03845i
\(112\) 17.9035 12.2064i 1.69172 1.15340i
\(113\) 5.42511 + 2.61260i 0.510352 + 0.245772i 0.671294 0.741191i \(-0.265739\pi\)
−0.160942 + 0.986964i \(0.551453\pi\)
\(114\) −8.44228 7.83329i −0.790692 0.733655i
\(115\) −1.60525 + 0.241953i −0.149691 + 0.0225622i
\(116\) −0.669827 + 8.93822i −0.0621919 + 0.829893i
\(117\) −3.69458 + 9.41364i −0.341564 + 0.870292i
\(118\) 2.02889 + 8.88915i 0.186775 + 0.818313i
\(119\) −0.478526 6.38549i −0.0438664 0.585357i
\(120\) −2.46306 0.759755i −0.224846 0.0693558i
\(121\) 6.17687 2.97462i 0.561533 0.270420i
\(122\) −8.73020 + 15.1211i −0.790395 + 1.36900i
\(123\) −3.15316 5.46143i −0.284311 0.492441i
\(124\) −0.557284 0.379950i −0.0500456 0.0341205i
\(125\) −1.27974 + 5.60692i −0.114464 + 0.501498i
\(126\) −44.6577 6.73107i −3.97843 0.599651i
\(127\) −2.35751 2.95623i −0.209195 0.262323i 0.666153 0.745815i \(-0.267940\pi\)
−0.875349 + 0.483492i \(0.839368\pi\)
\(128\) −10.6844 −0.944374
\(129\) −8.84914 17.3250i −0.779124 1.52538i
\(130\) −1.85461 −0.162660
\(131\) −10.8237 13.5725i −0.945669 1.18583i −0.982453 0.186508i \(-0.940283\pi\)
0.0367848 0.999323i \(-0.488288\pi\)
\(132\) −7.06721 1.06521i −0.615122 0.0927147i
\(133\) −2.11235 + 9.25483i −0.183164 + 0.802496i
\(134\) 0.781506 + 0.532822i 0.0675118 + 0.0460288i
\(135\) 2.47803 + 4.29207i 0.213275 + 0.369403i
\(136\) −1.06917 + 1.85185i −0.0916803 + 0.158795i
\(137\) −2.80268 + 1.34970i −0.239449 + 0.115312i −0.549760 0.835322i \(-0.685281\pi\)
0.310311 + 0.950635i \(0.399567\pi\)
\(138\) 13.7699 + 4.24745i 1.17217 + 0.361567i
\(139\) 0.390211 + 5.20700i 0.0330973 + 0.441652i 0.988995 + 0.147951i \(0.0472679\pi\)
−0.955897 + 0.293701i \(0.905113\pi\)
\(140\) −0.685124 3.00173i −0.0579036 0.253692i
\(141\) 10.1483 25.8575i 0.854644 2.17760i
\(142\) 0.711766 9.49785i 0.0597301 0.797042i
\(143\) 3.50891 0.528883i 0.293430 0.0442275i
\(144\) 21.1208 + 19.5972i 1.76007 + 1.63310i
\(145\) −4.06935 1.95969i −0.337941 0.162744i
\(146\) 20.7246 14.1298i 1.71518 1.16939i
\(147\) 13.0459 + 33.2404i 1.07601 + 2.74162i
\(148\) −4.47992 + 1.38187i −0.368247 + 0.113589i
\(149\) −14.9269 + 13.8502i −1.22286 + 1.13465i −0.236229 + 0.971698i \(0.575911\pi\)
−0.986634 + 0.162953i \(0.947898\pi\)
\(150\) 15.3279 19.2205i 1.25152 1.56935i
\(151\) −12.4488 + 15.6103i −1.01307 + 1.27035i −0.0506675 + 0.998716i \(0.516135\pi\)
−0.962401 + 0.271632i \(0.912437\pi\)
\(152\) 2.32379 2.15616i 0.188484 0.174887i
\(153\) 8.13612 2.50966i 0.657766 0.202894i
\(154\) 5.78971 + 14.7519i 0.466548 + 1.18875i
\(155\) 0.280818 0.191458i 0.0225558 0.0153783i
\(156\) 5.51374 + 2.65528i 0.441452 + 0.212592i
\(157\) −12.6185 11.7083i −1.00707 0.934423i −0.00921861 0.999958i \(-0.502934\pi\)
−0.997850 + 0.0655341i \(0.979125\pi\)
\(158\) 6.44432 0.971325i 0.512682 0.0772744i
\(159\) −1.30937 + 17.4723i −0.103840 + 1.38564i
\(160\) −1.29561 + 3.30117i −0.102427 + 0.260980i
\(161\) −2.64307 11.5800i −0.208303 0.912636i
\(162\) −0.967001 12.9037i −0.0759748 1.01381i
\(163\) 20.8543 + 6.43270i 1.63344 + 0.503848i 0.969737 0.244152i \(-0.0785095\pi\)
0.663699 + 0.748000i \(0.268986\pi\)
\(164\) −2.26641 + 1.09144i −0.176977 + 0.0852274i
\(165\) 1.80071 3.11892i 0.140185 0.242808i
\(166\) −9.22972 15.9863i −0.716365 1.24078i
\(167\) 7.00644 + 4.77691i 0.542175 + 0.369649i 0.803224 0.595677i \(-0.203116\pi\)
−0.261049 + 0.965325i \(0.584069\pi\)
\(168\) 4.19662 18.3866i 0.323776 1.41856i
\(169\) 9.85023 + 1.48468i 0.757710 + 0.114206i
\(170\) 0.973572 + 1.22082i 0.0746696 + 0.0936327i
\(171\) −12.6223 −0.965254
\(172\) −7.15520 + 3.00351i −0.545579 + 0.229016i
\(173\) −11.0837 −0.842677 −0.421338 0.906904i \(-0.638439\pi\)
−0.421338 + 0.906904i \(0.638439\pi\)
\(174\) 24.9971 + 31.3454i 1.89503 + 2.37629i
\(175\) −20.0376 3.02018i −1.51470 0.228304i
\(176\) 2.24973 9.85670i 0.169580 0.742977i
\(177\) 12.5264 + 8.54034i 0.941540 + 0.641931i
\(178\) −5.38621 9.32918i −0.403713 0.699252i
\(179\) 7.70817 13.3509i 0.576135 0.997896i −0.419782 0.907625i \(-0.637893\pi\)
0.995917 0.0902708i \(-0.0287733\pi\)
\(180\) 3.68852 1.77630i 0.274926 0.132397i
\(181\) −3.06551 0.945583i −0.227857 0.0702847i 0.178724 0.983899i \(-0.442803\pi\)
−0.406581 + 0.913615i \(0.633279\pi\)
\(182\) −1.01406 13.5317i −0.0751672 1.00304i
\(183\) 6.46036 + 28.3047i 0.477564 + 2.09234i
\(184\) −1.44911 + 3.69227i −0.106830 + 0.272198i
\(185\) 0.176543 2.35580i 0.0129797 0.173202i
\(186\) −2.98323 + 0.449649i −0.218741 + 0.0329699i
\(187\) −2.19014 2.03215i −0.160159 0.148606i
\(188\) −9.98293 4.80753i −0.728080 0.350625i
\(189\) −29.9612 + 20.4272i −2.17935 + 1.48586i
\(190\) −0.845713 2.15484i −0.0613545 0.156329i
\(191\) −5.09606 + 1.57193i −0.368738 + 0.113741i −0.473586 0.880748i \(-0.657041\pi\)
0.104848 + 0.994488i \(0.466564\pi\)
\(192\) 1.47449 1.36813i 0.106412 0.0987360i
\(193\) −4.19096 + 5.25530i −0.301672 + 0.378285i −0.909444 0.415827i \(-0.863492\pi\)
0.607772 + 0.794112i \(0.292064\pi\)
\(194\) −11.4081 + 14.3054i −0.819057 + 1.02706i
\(195\) −2.26057 + 2.09751i −0.161883 + 0.150206i
\(196\) 13.6110 4.19845i 0.972217 0.299889i
\(197\) −1.77600 4.52518i −0.126535 0.322406i 0.853542 0.521024i \(-0.174450\pi\)
−0.980077 + 0.198618i \(0.936355\pi\)
\(198\) −17.4103 + 11.8702i −1.23730 + 0.843577i
\(199\) 20.4216 + 9.83452i 1.44765 + 0.697151i 0.982185 0.187916i \(-0.0601734\pi\)
0.465463 + 0.885067i \(0.345888\pi\)
\(200\) 4.96048 + 4.60265i 0.350759 + 0.325456i
\(201\) 1.55518 0.234406i 0.109694 0.0165337i
\(202\) 1.49070 19.8920i 0.104885 1.39959i
\(203\) 12.0734 30.7625i 0.847387 2.15911i
\(204\) −1.14655 5.02338i −0.0802747 0.351707i
\(205\) −0.0947264 1.26404i −0.00661598 0.0882841i
\(206\) 0.237899 + 0.0733822i 0.0165752 + 0.00511278i
\(207\) 14.2295 6.85259i 0.989022 0.476288i
\(208\) −4.32852 + 7.49721i −0.300129 + 0.519838i
\(209\) 2.21459 + 3.83578i 0.153186 + 0.265327i
\(210\) −11.3788 7.75795i −0.785214 0.535350i
\(211\) −4.22277 + 18.5012i −0.290707 + 1.27367i 0.592836 + 0.805323i \(0.298008\pi\)
−0.883543 + 0.468349i \(0.844849\pi\)
\(212\) 6.91098 + 1.04166i 0.474648 + 0.0715417i
\(213\) −9.87422 12.3819i −0.676571 0.848393i
\(214\) −10.4353 −0.713346
\(215\) −0.0916113 3.90923i −0.00624784 0.266608i
\(216\) 12.1093 0.823932
\(217\) 1.55047 + 1.94423i 0.105253 + 0.131983i
\(218\) 1.39145 + 0.209728i 0.0942412 + 0.0142046i
\(219\) 9.28074 40.6616i 0.627134 2.74766i
\(220\) −1.18695 0.809247i −0.0800239 0.0545594i
\(221\) 1.27914 + 2.21553i 0.0860441 + 0.149033i
\(222\) −10.4850 + 18.1606i −0.703710 + 1.21886i
\(223\) −8.70607 + 4.19262i −0.583002 + 0.280759i −0.702048 0.712130i \(-0.747731\pi\)
0.119046 + 0.992889i \(0.462016\pi\)
\(224\) −24.7946 7.64812i −1.65666 0.511012i
\(225\) −2.01355 26.8690i −0.134237 1.79126i
\(226\) −2.39064 10.4741i −0.159023 0.696727i
\(227\) −6.45065 + 16.4360i −0.428144 + 1.09089i 0.540258 + 0.841500i \(0.318327\pi\)
−0.968402 + 0.249394i \(0.919768\pi\)
\(228\) −0.570827 + 7.61716i −0.0378039 + 0.504459i
\(229\) 0.234167 0.0352950i 0.0154742 0.00233236i −0.141301 0.989967i \(-0.545128\pi\)
0.156775 + 0.987634i \(0.449890\pi\)
\(230\) 2.12325 + 1.97009i 0.140003 + 0.129904i
\(231\) 23.7411 + 11.4331i 1.56205 + 0.752242i
\(232\) −9.11805 + 6.21658i −0.598629 + 0.408139i
\(233\) 2.54575 + 6.48646i 0.166777 + 0.424942i 0.989690 0.143226i \(-0.0457476\pi\)
−0.822913 + 0.568168i \(0.807652\pi\)
\(234\) 17.2415 5.31831i 1.12711 0.347669i
\(235\) 4.09290 3.79765i 0.266991 0.247732i
\(236\) 3.77052 4.72808i 0.245440 0.307772i
\(237\) 6.75641 8.47228i 0.438876 0.550333i
\(238\) −8.37510 + 7.77096i −0.542877 + 0.503716i
\(239\) −28.2108 + 8.70187i −1.82480 + 0.562877i −0.999997 0.00253697i \(-0.999192\pi\)
−0.824807 + 0.565414i \(0.808716\pi\)
\(240\) 3.20990 + 8.17868i 0.207198 + 0.527932i
\(241\) 14.3617 9.79162i 0.925117 0.630734i −0.00421050 0.999991i \(-0.501340\pi\)
0.929327 + 0.369257i \(0.120388\pi\)
\(242\) −11.0208 5.30734i −0.708444 0.341169i
\(243\) 2.50506 + 2.32435i 0.160699 + 0.149107i
\(244\) 11.4514 1.72603i 0.733103 0.110498i
\(245\) −0.536378 + 7.15746i −0.0342679 + 0.457274i
\(246\) −4.11074 + 10.4740i −0.262091 + 0.667797i
\(247\) −0.843926 3.69748i −0.0536977 0.235265i
\(248\) −0.0620578 0.828103i −0.00394067 0.0525846i
\(249\) −29.3301 9.04715i −1.85872 0.573340i
\(250\) 9.24500 4.45216i 0.584705 0.281579i
\(251\) 9.78186 16.9427i 0.617426 1.06941i −0.372528 0.928021i \(-0.621509\pi\)
0.989954 0.141392i \(-0.0451576\pi\)
\(252\) 14.9771 + 25.9411i 0.943470 + 1.63414i
\(253\) −4.57900 3.12191i −0.287879 0.196273i
\(254\) −1.50121 + 6.57722i −0.0941941 + 0.412691i
\(255\) 2.56740 + 0.386973i 0.160777 + 0.0242332i
\(256\) 12.7311 + 15.9643i 0.795695 + 0.997770i
\(257\) 21.9755 1.37080 0.685398 0.728168i \(-0.259628\pi\)
0.685398 + 0.728168i \(0.259628\pi\)
\(258\) −14.3234 + 31.6170i −0.891734 + 1.96839i
\(259\) 17.2851 1.07404
\(260\) 0.766947 + 0.961721i 0.0475640 + 0.0596434i
\(261\) 43.4507 + 6.54914i 2.68953 + 0.405382i
\(262\) −6.89225 + 30.1969i −0.425805 + 1.86557i
\(263\) −17.5044 11.9343i −1.07937 0.735900i −0.113137 0.993579i \(-0.536090\pi\)
−0.966230 + 0.257679i \(0.917042\pi\)
\(264\) −4.39973 7.62055i −0.270784 0.469012i
\(265\) −1.76090 + 3.04997i −0.108171 + 0.187358i
\(266\) 15.2599 7.34877i 0.935643 0.450582i
\(267\) −17.1163 5.27967i −1.04750 0.323110i
\(268\) −0.0468820 0.625596i −0.00286377 0.0382144i
\(269\) 0.540806 + 2.36943i 0.0329735 + 0.144466i 0.988735 0.149676i \(-0.0478231\pi\)
−0.955762 + 0.294143i \(0.904966\pi\)
\(270\) 3.23058 8.23138i 0.196607 0.500946i
\(271\) 1.48929 19.8731i 0.0904677 1.20721i −0.748541 0.663089i \(-0.769245\pi\)
0.839008 0.544118i \(-0.183136\pi\)
\(272\) 7.20739 1.08634i 0.437012 0.0658690i
\(273\) −16.5400 15.3469i −1.00105 0.928835i
\(274\) 5.00055 + 2.40814i 0.302094 + 0.145481i
\(275\) −7.81189 + 5.32606i −0.471075 + 0.321173i
\(276\) −3.49180 8.89696i −0.210182 0.535534i
\(277\) 14.3542 4.42768i 0.862460 0.266034i 0.168196 0.985754i \(-0.446206\pi\)
0.694265 + 0.719720i \(0.255730\pi\)
\(278\) 6.82942 6.33677i 0.409601 0.380054i
\(279\) −2.06162 + 2.58519i −0.123426 + 0.154771i
\(280\) 2.36351 2.96375i 0.141247 0.177118i
\(281\) −24.0279 + 22.2946i −1.43338 + 1.32998i −0.573793 + 0.819000i \(0.694529\pi\)
−0.859590 + 0.510985i \(0.829281\pi\)
\(282\) −47.3593 + 14.6084i −2.82021 + 0.869918i
\(283\) 4.57856 + 11.6660i 0.272167 + 0.693470i 0.999970 + 0.00768433i \(0.00244602\pi\)
−0.727804 + 0.685786i \(0.759459\pi\)
\(284\) −5.21952 + 3.55861i −0.309722 + 0.211165i
\(285\) −3.46790 1.67005i −0.205421 0.0989254i
\(286\) −4.64120 4.30641i −0.274440 0.254643i
\(287\) 9.17094 1.38230i 0.541344 0.0815944i
\(288\) 2.57829 34.4049i 0.151927 2.02733i
\(289\) −5.42387 + 13.8198i −0.319051 + 0.812930i
\(290\) 1.79321 + 7.85656i 0.105301 + 0.461353i
\(291\) 2.27359 + 30.3390i 0.133280 + 1.77850i
\(292\) −15.8974 4.90371i −0.930328 0.286968i
\(293\) 6.61965 3.18786i 0.386724 0.186237i −0.230411 0.973093i \(-0.574007\pi\)
0.617136 + 0.786857i \(0.288293\pi\)
\(294\) 31.8560 55.1762i 1.85788 3.21794i
\(295\) 1.52366 + 2.63906i 0.0887112 + 0.153652i
\(296\) −4.76916 3.25156i −0.277202 0.188993i
\(297\) −3.76488 + 16.4950i −0.218460 + 0.957138i
\(298\) 35.9255 + 5.41490i 2.08111 + 0.313677i
\(299\) 2.95872 + 3.71012i 0.171107 + 0.214562i
\(300\) −16.3056 −0.941403
\(301\) 28.4727 2.80591i 1.64114 0.161730i
\(302\) 35.6240 2.04993
\(303\) −20.6802 25.9322i −1.18805 1.48976i
\(304\) −10.6847 1.61046i −0.612812 0.0923665i
\(305\) −1.29854 + 5.68929i −0.0743544 + 0.325768i
\(306\) −12.5518 8.55764i −0.717536 0.489208i
\(307\) −5.68990 9.85520i −0.324740 0.562466i 0.656720 0.754135i \(-0.271943\pi\)
−0.981460 + 0.191669i \(0.938610\pi\)
\(308\) 5.25548 9.10275i 0.299459 0.518678i
\(309\) 0.372968 0.179612i 0.0212174 0.0102178i
\(310\) −0.579466 0.178742i −0.0329114 0.0101518i
\(311\) 1.85648 + 24.7730i 0.105271 + 1.40475i 0.760511 + 0.649325i \(0.224948\pi\)
−0.655240 + 0.755421i \(0.727433\pi\)
\(312\) 1.67663 + 7.34579i 0.0949204 + 0.415873i
\(313\) 6.18554 15.7605i 0.349627 0.890836i −0.642578 0.766221i \(-0.722135\pi\)
0.992205 0.124616i \(-0.0397698\pi\)
\(314\) −2.29517 + 30.6269i −0.129524 + 1.72838i
\(315\) −14.9255 + 2.24965i −0.840955 + 0.126754i
\(316\) −3.16864 2.94007i −0.178250 0.165392i
\(317\) −21.3116 10.2631i −1.19698 0.576435i −0.274166 0.961682i \(-0.588402\pi\)
−0.922813 + 0.385247i \(0.874116\pi\)
\(318\) 25.8295 17.6103i 1.44845 0.987535i
\(319\) −5.63322 14.3532i −0.315400 0.803626i
\(320\) 0.386340 0.119170i 0.0215971 0.00666182i
\(321\) −12.7196 + 11.8021i −0.709939 + 0.658727i
\(322\) −13.2133 + 16.5690i −0.736350 + 0.923354i
\(323\) −1.99090 + 2.49651i −0.110777 + 0.138909i
\(324\) −6.29144 + 5.83760i −0.349524 + 0.324311i
\(325\) 7.73614 2.38628i 0.429124 0.132367i
\(326\) −14.2258 36.2467i −0.787892 2.00752i
\(327\) 1.93323 1.31806i 0.106908 0.0728887i
\(328\) −2.79040 1.34379i −0.154074 0.0741982i
\(329\) 29.9466 + 27.7864i 1.65101 + 1.53191i
\(330\) −6.35391 + 0.957698i −0.349771 + 0.0527195i
\(331\) 1.80682 24.1103i 0.0993117 1.32522i −0.695570 0.718458i \(-0.744848\pi\)
0.794882 0.606764i \(-0.207533\pi\)
\(332\) −4.47302 + 11.3971i −0.245489 + 0.625495i
\(333\) 5.11429 + 22.4072i 0.280261 + 1.22791i
\(334\) −1.13066 15.0876i −0.0618671 0.825558i
\(335\) 0.302080 + 0.0931793i 0.0165044 + 0.00509093i
\(336\) −57.9187 + 27.8922i −3.15972 + 1.52164i
\(337\) 7.76921 13.4567i 0.423216 0.733031i −0.573036 0.819530i \(-0.694235\pi\)
0.996252 + 0.0864989i \(0.0275679\pi\)
\(338\) −8.88668 15.3922i −0.483372 0.837224i
\(339\) −14.7598 10.0631i −0.801645 0.546552i
\(340\) 0.230459 1.00971i 0.0124984 0.0547590i
\(341\) 1.14732 + 0.172931i 0.0621309 + 0.00936472i
\(342\) 14.0415 + 17.6075i 0.759278 + 0.952105i
\(343\) −21.9745 −1.18651
\(344\) −8.38379 4.58192i −0.452024 0.247041i
\(345\) 4.81613 0.259292
\(346\) 12.3299 + 15.4612i 0.662858 + 0.831197i
\(347\) 13.6421 + 2.05621i 0.732346 + 0.110383i 0.504620 0.863342i \(-0.331633\pi\)
0.227726 + 0.973725i \(0.426871\pi\)
\(348\) 5.91718 25.9249i 0.317194 1.38972i
\(349\) 11.1033 + 7.57012i 0.594348 + 0.405219i 0.822796 0.568337i \(-0.192413\pi\)
−0.228449 + 0.973556i \(0.573365\pi\)
\(350\) 18.0775 + 31.3112i 0.966283 + 1.67365i
\(351\) 7.24370 12.5465i 0.386640 0.669680i
\(352\) −10.9076 + 5.25284i −0.581378 + 0.279977i
\(353\) 7.28752 + 2.24790i 0.387876 + 0.119644i 0.482559 0.875864i \(-0.339708\pi\)
−0.0946829 + 0.995507i \(0.530184\pi\)
\(354\) −2.02144 26.9742i −0.107438 1.43366i
\(355\) −0.708343 3.10346i −0.0375950 0.164714i
\(356\) −2.61033 + 6.65101i −0.138347 + 0.352503i
\(357\) −1.41965 + 18.9440i −0.0751361 + 1.00262i
\(358\) −27.1987 + 4.09954i −1.43750 + 0.216668i
\(359\) −12.3345 11.4447i −0.650989 0.604029i 0.283950 0.958839i \(-0.408355\pi\)
−0.934939 + 0.354810i \(0.884546\pi\)
\(360\) 4.54131 + 2.18698i 0.239348 + 0.115264i
\(361\) −11.7873 + 8.03646i −0.620385 + 0.422972i
\(362\) 2.09113 + 5.32812i 0.109908 + 0.280040i
\(363\) −19.4357 + 5.99511i −1.02011 + 0.314661i
\(364\) −6.59762 + 6.12169i −0.345809 + 0.320864i
\(365\) 5.22686 6.55427i 0.273586 0.343066i
\(366\) 32.2969 40.4990i 1.68819 2.11692i
\(367\) −0.0534689 + 0.0496119i −0.00279105 + 0.00258972i −0.681567 0.731756i \(-0.738701\pi\)
0.678776 + 0.734345i \(0.262511\pi\)
\(368\) 12.9195 3.98515i 0.673478 0.207740i
\(369\) 4.50541 + 11.4796i 0.234542 + 0.597603i
\(370\) −3.48261 + 2.37441i −0.181052 + 0.123439i
\(371\) −23.2162 11.1803i −1.20533 0.580455i
\(372\) 1.46684 + 1.36103i 0.0760522 + 0.0705661i
\(373\) −25.4691 + 3.83884i −1.31874 + 0.198768i −0.770438 0.637514i \(-0.779963\pi\)
−0.548299 + 0.836282i \(0.684725\pi\)
\(374\) −0.398362 + 5.31577i −0.0205988 + 0.274872i
\(375\) 6.23344 15.8825i 0.321893 0.820171i
\(376\) −3.03563 13.3000i −0.156551 0.685893i
\(377\) 0.986652 + 13.1660i 0.0508152 + 0.678081i
\(378\) 61.8247 + 19.0704i 3.17992 + 0.980875i
\(379\) 14.4579 6.96257i 0.742654 0.357643i −0.0239929 0.999712i \(-0.507638\pi\)
0.766647 + 0.642069i \(0.221924\pi\)
\(380\) −0.767677 + 1.32966i −0.0393810 + 0.0682099i
\(381\) 5.60882 + 9.71477i 0.287349 + 0.497703i
\(382\) 7.86178 + 5.36007i 0.402244 + 0.274245i
\(383\) 5.36944 23.5250i 0.274365 1.20207i −0.630437 0.776241i \(-0.717124\pi\)
0.904802 0.425833i \(-0.140019\pi\)
\(384\) 31.3435 + 4.72428i 1.59949 + 0.241085i
\(385\) 3.30232 + 4.14098i 0.168302 + 0.211044i
\(386\) 11.9930 0.610430
\(387\) 12.0619 + 36.0798i 0.613139 + 1.83404i
\(388\) 12.1358 0.616103
\(389\) 10.2266 + 12.8237i 0.518507 + 0.650187i 0.970291 0.241940i \(-0.0777837\pi\)
−0.451784 + 0.892127i \(0.649212\pi\)
\(390\) 5.44066 + 0.820047i 0.275498 + 0.0415247i
\(391\) 0.889063 3.89524i 0.0449619 0.196991i
\(392\) 14.4898 + 9.87898i 0.731846 + 0.498964i
\(393\) 25.7509 + 44.6019i 1.29896 + 2.24987i
\(394\) −4.33671 + 7.51140i −0.218480 + 0.378419i
\(395\) 1.96244 0.945061i 0.0987410 0.0475512i
\(396\) 13.3552 + 4.11952i 0.671123 + 0.207014i
\(397\) −0.575635 7.68131i −0.0288903 0.385514i −0.992842 0.119436i \(-0.961891\pi\)
0.963952 0.266078i \(-0.0857278\pi\)
\(398\) −8.99903 39.4273i −0.451081 1.97631i
\(399\) 10.2890 26.2158i 0.515092 1.31243i
\(400\) 1.72371 23.0013i 0.0861856 1.15007i
\(401\) −1.39718 + 0.210591i −0.0697719 + 0.0105164i −0.183835 0.982957i \(-0.558851\pi\)
0.114064 + 0.993473i \(0.463613\pi\)
\(402\) −2.05702 1.90864i −0.102595 0.0951941i
\(403\) −0.895123 0.431068i −0.0445892 0.0214730i
\(404\) −10.9316 + 7.45302i −0.543866 + 0.370802i
\(405\) −1.58002 4.02581i −0.0785116 0.200044i
\(406\) −56.3430 + 17.3795i −2.79626 + 0.862531i
\(407\) 5.91198 5.48551i 0.293046 0.271907i
\(408\) 3.95532 4.95982i 0.195818 0.245548i
\(409\) −4.44166 + 5.56967i −0.219626 + 0.275402i −0.879423 0.476042i \(-0.842071\pi\)
0.659796 + 0.751444i \(0.270642\pi\)
\(410\) −1.65789 + 1.53830i −0.0818773 + 0.0759710i
\(411\) 8.81869 2.72021i 0.434994 0.134178i
\(412\) −0.0603270 0.153711i −0.00297210 0.00757278i
\(413\) −18.4222 + 12.5600i −0.906497 + 0.618039i
\(414\) −25.3885 12.2264i −1.24777 0.600896i
\(415\) −4.52256 4.19632i −0.222004 0.205989i
\(416\) 10.2507 1.54504i 0.502581 0.0757519i
\(417\) 1.15765 15.4477i 0.0566903 0.756479i
\(418\) 2.88713 7.35629i 0.141214 0.359808i
\(419\) −3.05031 13.3643i −0.149018 0.652889i −0.993159 0.116769i \(-0.962746\pi\)
0.844142 0.536120i \(-0.180111\pi\)
\(420\) 0.682608 + 9.10877i 0.0333078 + 0.444462i
\(421\) −1.78387 0.550250i −0.0869404 0.0268176i 0.250980 0.967992i \(-0.419247\pi\)
−0.337920 + 0.941175i \(0.609723\pi\)
\(422\) 30.5057 14.6908i 1.48500 0.715136i
\(423\) −27.1598 + 47.0421i −1.32055 + 2.28726i
\(424\) 4.30246 + 7.45208i 0.208946 + 0.361905i
\(425\) −5.63187 3.83975i −0.273186 0.186255i
\(426\) −6.28767 + 27.5481i −0.304638 + 1.33471i
\(427\) −42.2206 6.36373i −2.04320 0.307962i
\(428\) 4.31539 + 5.41133i 0.208592 + 0.261566i
\(429\) −10.5276 −0.508275
\(430\) −5.35127 + 4.47656i −0.258061 + 0.215879i
\(431\) −23.8277 −1.14774 −0.573871 0.818946i \(-0.694559\pi\)
−0.573871 + 0.818946i \(0.694559\pi\)
\(432\) −25.7352 32.2710i −1.23819 1.55264i
\(433\) −39.6397 5.97472i −1.90496 0.287127i −0.912442 0.409206i \(-0.865806\pi\)
−0.992520 + 0.122079i \(0.961044\pi\)
\(434\) 0.987305 4.32567i 0.0473922 0.207639i
\(435\) 11.0713 + 7.54826i 0.530827 + 0.361912i
\(436\) −0.466660 0.808279i −0.0223490 0.0387096i
\(437\) −2.96154 + 5.12954i −0.141670 + 0.245379i
\(438\) −67.0450 + 32.2872i −3.20354 + 1.54274i
\(439\) 7.92185 + 2.44357i 0.378089 + 0.116625i 0.477974 0.878374i \(-0.341371\pi\)
−0.0998848 + 0.994999i \(0.531847\pi\)
\(440\) −0.132175 1.76376i −0.00630121 0.0840839i
\(441\) −15.5384 68.0781i −0.739923 3.24182i
\(442\) 1.66760 4.24897i 0.0793195 0.202103i
\(443\) −2.35373 + 31.4083i −0.111829 + 1.49225i 0.605682 + 0.795706i \(0.292900\pi\)
−0.717511 + 0.696547i \(0.754719\pi\)
\(444\) 13.7533 2.07297i 0.652701 0.0983789i
\(445\) −2.63924 2.44886i −0.125112 0.116087i
\(446\) 15.5334 + 7.48050i 0.735529 + 0.354212i
\(447\) 49.9136 34.0305i 2.36083 1.60959i
\(448\) 1.08074 + 2.75368i 0.0510601 + 0.130099i
\(449\) 14.7459 4.54851i 0.695903 0.214658i 0.0734316 0.997300i \(-0.476605\pi\)
0.622471 + 0.782643i \(0.286129\pi\)
\(450\) −35.2409 + 32.6988i −1.66127 + 1.54143i
\(451\) 2.69804 3.38324i 0.127046 0.159310i
\(452\) −4.44281 + 5.57110i −0.208972 + 0.262043i
\(453\) 43.4220 40.2897i 2.04014 1.89298i
\(454\) 30.1033 9.28563i 1.41282 0.435796i
\(455\) −1.65691 4.22173i −0.0776771 0.197918i
\(456\) −7.77041 + 5.29778i −0.363883 + 0.248091i
\(457\) 8.36585 + 4.02878i 0.391338 + 0.188458i 0.619197 0.785236i \(-0.287458\pi\)
−0.227859 + 0.973694i \(0.573173\pi\)
\(458\) −0.309730 0.287387i −0.0144727 0.0134287i
\(459\) −12.0614 + 1.81797i −0.562980 + 0.0848555i
\(460\) 0.143564 1.91573i 0.00669371 0.0893214i
\(461\) −7.64092 + 19.4688i −0.355873 + 0.906750i 0.635068 + 0.772456i \(0.280972\pi\)
−0.990942 + 0.134294i \(0.957123\pi\)
\(462\) −10.4618 45.8361i −0.486727 2.13249i
\(463\) 0.163595 + 2.18303i 0.00760292 + 0.101454i 0.999714 0.0239064i \(-0.00761037\pi\)
−0.992111 + 0.125360i \(0.959991\pi\)
\(464\) 35.9452 + 11.0876i 1.66871 + 0.514730i
\(465\) −0.908460 + 0.437491i −0.0421288 + 0.0202882i
\(466\) 6.21630 10.7669i 0.287965 0.498769i
\(467\) 0.115483 + 0.200022i 0.00534391 + 0.00925593i 0.868685 0.495365i \(-0.164966\pi\)
−0.863341 + 0.504621i \(0.831632\pi\)
\(468\) −9.88784 6.74142i −0.457066 0.311622i
\(469\) −0.514690 + 2.25500i −0.0237662 + 0.104126i
\(470\) −9.85061 1.48474i −0.454375 0.0684860i
\(471\) 31.8406 + 39.9268i 1.46714 + 1.83973i
\(472\) 7.44562 0.342713
\(473\) 8.84799 9.99567i 0.406831 0.459602i
\(474\) −19.3345 −0.888061
\(475\) 6.30032 + 7.90035i 0.289079 + 0.362493i
\(476\) 7.49309 + 1.12940i 0.343445 + 0.0517660i
\(477\) 7.62423 33.4040i 0.349090 1.52946i
\(478\) 43.5213 + 29.6723i 1.99062 + 1.35718i
\(479\) −2.50477 4.33839i −0.114446 0.198226i 0.803112 0.595828i \(-0.203176\pi\)
−0.917558 + 0.397602i \(0.869843\pi\)
\(480\) 5.26046 9.11139i 0.240106 0.415876i
\(481\) −6.22183 + 2.99627i −0.283691 + 0.136618i
\(482\) −29.6352 9.14126i −1.34985 0.416373i
\(483\) 2.63336 + 35.1398i 0.119822 + 1.59891i
\(484\) 1.80534 + 7.90970i 0.0820607 + 0.359532i
\(485\) −2.23417 + 5.69256i −0.101448 + 0.258486i
\(486\) 0.455642 6.08011i 0.0206683 0.275800i
\(487\) 12.8944 1.94351i 0.584299 0.0880689i 0.149761 0.988722i \(-0.452150\pi\)
0.434538 + 0.900653i \(0.356912\pi\)
\(488\) 10.4521 + 9.69810i 0.473143 + 0.439012i
\(489\) −58.3336 28.0920i −2.63794 1.27036i
\(490\) 10.5810 7.21399i 0.478000 0.325895i
\(491\) 9.25153 + 23.5725i 0.417516 + 1.06381i 0.972696 + 0.232083i \(0.0745541\pi\)
−0.555180 + 0.831730i \(0.687351\pi\)
\(492\) 7.13130 2.19971i 0.321504 0.0991708i
\(493\) 8.14873 7.56092i 0.367000 0.340527i
\(494\) −4.21898 + 5.29044i −0.189821 + 0.238028i
\(495\) −4.39099 + 5.50613i −0.197360 + 0.247482i
\(496\) −2.07499 + 1.92531i −0.0931698 + 0.0864489i
\(497\) 22.2563 6.86516i 0.998332 0.307945i
\(498\) 20.0076 + 50.9784i 0.896560 + 2.28440i
\(499\) 7.17570 4.89231i 0.321228 0.219010i −0.391960 0.919982i \(-0.628203\pi\)
0.713188 + 0.700973i \(0.247250\pi\)
\(500\) −6.13184 2.95294i −0.274224 0.132059i
\(501\) −18.4418 17.1115i −0.823920 0.764486i
\(502\) −34.5158 + 5.20243i −1.54052 + 0.232196i
\(503\) 2.14991 28.6886i 0.0958599 1.27916i −0.717153 0.696916i \(-0.754555\pi\)
0.813013 0.582246i \(-0.197826\pi\)
\(504\) −13.4737 + 34.3304i −0.600166 + 1.52920i
\(505\) −1.48353 6.49976i −0.0660162 0.289236i
\(506\) 0.738934 + 9.86039i 0.0328496 + 0.438348i
\(507\) −28.2400 8.71090i −1.25418 0.386864i
\(508\) 4.03147 1.94145i 0.178867 0.0861380i
\(509\) −13.2695 + 22.9835i −0.588162 + 1.01873i 0.406311 + 0.913735i \(0.366815\pi\)
−0.994473 + 0.104992i \(0.966518\pi\)
\(510\) −2.31625 4.01187i −0.102565 0.177648i
\(511\) 50.6796 + 34.5528i 2.24193 + 1.52852i
\(512\) 3.35188 14.6855i 0.148133 0.649015i
\(513\) 17.8807 + 2.69509i 0.789453 + 0.118991i
\(514\) −24.4464 30.6548i −1.07828 1.35212i
\(515\) 0.0832072 0.00366655
\(516\) 22.3185 5.64728i 0.982516 0.248607i
\(517\) 19.0607 0.838290
\(518\) −19.2285 24.1118i −0.844852 1.05941i
\(519\) 32.5149 + 4.90084i 1.42725 + 0.215123i
\(520\) −0.337005 + 1.47651i −0.0147786 + 0.0647495i
\(521\) −29.4870 20.1039i −1.29185 0.880769i −0.294654 0.955604i \(-0.595205\pi\)
−0.997196 + 0.0748353i \(0.976157\pi\)
\(522\) −39.2003 67.8970i −1.71575 2.97177i
\(523\) 19.4445 33.6789i 0.850249 1.47267i −0.0307344 0.999528i \(-0.509785\pi\)
0.880983 0.473147i \(-0.156882\pi\)
\(524\) 18.5090 8.91349i 0.808571 0.389387i
\(525\) 57.4466 + 17.7199i 2.50717 + 0.773361i
\(526\) 2.82476 + 37.6939i 0.123166 + 1.64353i
\(527\) 0.186136 + 0.815515i 0.00810821 + 0.0355244i
\(528\) −10.9581 + 27.9207i −0.476889 + 1.21509i
\(529\) −1.16495 + 15.5452i −0.0506501 + 0.675878i
\(530\) 6.21344 0.936526i 0.269895 0.0406801i
\(531\) −21.7327 20.1650i −0.943120 0.875087i
\(532\) −10.1213 4.87414i −0.438812 0.211321i
\(533\) −3.06150 + 2.08730i −0.132608 + 0.0904109i
\(534\) 11.6759 + 29.7496i 0.505264 + 1.28739i
\(535\) −3.33275 + 1.02802i −0.144087 + 0.0444450i
\(536\) 0.566206 0.525362i 0.0244564 0.0226922i
\(537\) −28.5159 + 35.7578i −1.23055 + 1.54307i
\(538\) 2.70362 3.39023i 0.116561 0.146163i
\(539\) −17.9620 + 16.6663i −0.773676 + 0.717866i
\(540\) −5.60440 + 1.72873i −0.241175 + 0.0743927i
\(541\) 6.99876 + 17.8325i 0.300900 + 0.766681i 0.998728 + 0.0504159i \(0.0160547\pi\)
−0.697828 + 0.716265i \(0.745850\pi\)
\(542\) −29.3787 + 20.0301i −1.26192 + 0.860366i
\(543\) 8.57483 + 4.12942i 0.367981 + 0.177210i
\(544\) −6.39812 5.93658i −0.274317 0.254529i
\(545\) 0.465051 0.0700951i 0.0199206 0.00300255i
\(546\) −3.00844 + 40.1448i −0.128749 + 1.71804i
\(547\) −0.882978 + 2.24979i −0.0377534 + 0.0961942i −0.948507 0.316756i \(-0.897406\pi\)
0.910754 + 0.412950i \(0.135502\pi\)
\(548\) −0.819149 3.58893i −0.0349923 0.153311i
\(549\) −4.24269 56.6147i −0.181074 2.41626i
\(550\) 16.1198 + 4.97230i 0.687350 + 0.212019i
\(551\) −14.8474 + 7.15014i −0.632521 + 0.304606i
\(552\) 5.88370 10.1909i 0.250427 0.433752i
\(553\) 7.96843 + 13.8017i 0.338852 + 0.586909i
\(554\) −22.1445 15.0979i −0.940830 0.641447i
\(555\) −1.55956 + 6.83289i −0.0661997 + 0.290040i
\(556\) −6.11019 0.920963i −0.259130 0.0390575i
\(557\) 1.65271 + 2.07243i 0.0700274 + 0.0878116i 0.815611 0.578600i \(-0.196401\pi\)
−0.745584 + 0.666412i \(0.767829\pi\)
\(558\) 5.89962 0.249751
\(559\) −9.76247 + 5.94559i −0.412909 + 0.251472i
\(560\) −12.9214 −0.546027
\(561\) 5.52642 + 6.92991i 0.233326 + 0.292581i
\(562\) 57.8293 + 8.71636i 2.43938 + 0.367678i
\(563\) −1.07396 + 4.70535i −0.0452622 + 0.198307i −0.992504 0.122214i \(-0.961001\pi\)
0.947242 + 0.320520i \(0.103858\pi\)
\(564\) 27.1601 + 18.5174i 1.14365 + 0.779724i
\(565\) −1.79534 3.10961i −0.0755303 0.130822i
\(566\) 11.1801 19.3645i 0.469934 0.813950i
\(567\) 28.5095 13.7294i 1.19729 0.576582i
\(568\) −7.43222 2.29254i −0.311849 0.0961927i
\(569\) 0.904422 + 12.0687i 0.0379153 + 0.505945i 0.983541 + 0.180687i \(0.0578321\pi\)
−0.945625 + 0.325258i \(0.894549\pi\)
\(570\) 1.52817 + 6.69537i 0.0640081 + 0.280438i
\(571\) −10.2678 + 26.1619i −0.429694 + 1.09484i 0.538052 + 0.842912i \(0.319160\pi\)
−0.967746 + 0.251930i \(0.918935\pi\)
\(572\) −0.313816 + 4.18758i −0.0131213 + 0.175092i
\(573\) 15.6448 2.35807i 0.653570 0.0985099i
\(574\) −12.1303 11.2553i −0.506309 0.469786i
\(575\) −11.3916 5.48591i −0.475063 0.228778i
\(576\) −3.24991 + 2.21575i −0.135413 + 0.0923231i
\(577\) −8.48151 21.6105i −0.353090 0.899659i −0.991517 0.129976i \(-0.958510\pi\)
0.638427 0.769682i \(-0.279585\pi\)
\(578\) 25.3116 7.80760i 1.05282 0.324753i
\(579\) 14.6183 13.5638i 0.607515 0.563691i
\(580\) 3.33252 4.17885i 0.138375 0.173517i
\(581\) 28.1446 35.2923i 1.16764 1.46417i
\(582\) 39.7921 36.9217i 1.64944 1.53045i
\(583\) −11.4887 + 3.54381i −0.475815 + 0.146770i
\(584\) −7.48327 19.0671i −0.309660 0.789001i
\(585\) 4.98252 3.39703i 0.206002 0.140450i
\(586\) −11.8108 5.68780i −0.487901 0.234961i
\(587\) −25.3059 23.4805i −1.04449 0.969143i −0.0449330 0.998990i \(-0.514307\pi\)
−0.999554 + 0.0298472i \(0.990498\pi\)
\(588\) −41.7856 + 6.29817i −1.72321 + 0.259732i
\(589\) 0.0926704 1.23660i 0.00381842 0.0509532i
\(590\) 1.98638 5.06122i 0.0817781 0.208367i
\(591\) 3.20917 + 14.0603i 0.132008 + 0.578364i
\(592\) 1.47032 + 19.6201i 0.0604298 + 0.806380i
\(593\) 25.9112 + 7.99254i 1.06404 + 0.328214i 0.776868 0.629663i \(-0.216807\pi\)
0.287177 + 0.957878i \(0.407283\pi\)
\(594\) 27.1979 13.0978i 1.11594 0.537410i
\(595\) −1.90922 + 3.30687i −0.0782705 + 0.135569i
\(596\) −12.0486 20.8687i −0.493528 0.854816i
\(597\) −55.5600 37.8802i −2.27392 1.55033i
\(598\) 1.88404 8.25454i 0.0770443 0.337553i
\(599\) −7.61082 1.14715i −0.310970 0.0468711i −0.00829658 0.999966i \(-0.502641\pi\)
−0.302673 + 0.953094i \(0.597879\pi\)
\(600\) −12.5169 15.6956i −0.510998 0.640772i
\(601\) −31.0119 −1.26500 −0.632500 0.774560i \(-0.717971\pi\)
−0.632500 + 0.774560i \(0.717971\pi\)
\(602\) −35.5881 36.5966i −1.45046 1.49156i
\(603\) −3.07552 −0.125245
\(604\) −14.7318 18.4731i −0.599429 0.751660i
\(605\) −4.04256 0.609319i −0.164354 0.0247723i
\(606\) −13.1687 + 57.6957i −0.534940 + 2.34373i
\(607\) 3.94082 + 2.68680i 0.159953 + 0.109054i 0.640651 0.767832i \(-0.278664\pi\)
−0.480698 + 0.876886i \(0.659617\pi\)
\(608\) 6.46954 + 11.2056i 0.262374 + 0.454446i
\(609\) −49.0206 + 84.9061i −1.98641 + 3.44057i
\(610\) 9.38081 4.51756i 0.379818 0.182911i
\(611\) −15.5960 4.81073i −0.630947 0.194621i
\(612\) 0.752971 + 10.0477i 0.0304370 + 0.406154i
\(613\) 7.62154 + 33.3922i 0.307831 + 1.34870i 0.858003 + 0.513645i \(0.171705\pi\)
−0.550171 + 0.835052i \(0.685438\pi\)
\(614\) −7.41786 + 18.9004i −0.299360 + 0.762758i
\(615\) −0.281027 + 3.75005i −0.0113321 + 0.151216i
\(616\) 12.7966 1.92877i 0.515588 0.0777125i
\(617\) −16.7395 15.5320i −0.673908 0.625295i 0.267104 0.963668i \(-0.413933\pi\)
−0.941012 + 0.338372i \(0.890124\pi\)
\(618\) −0.665452 0.320465i −0.0267684 0.0128910i
\(619\) 13.4359 9.16045i 0.540035 0.368190i −0.262372 0.964967i \(-0.584505\pi\)
0.802407 + 0.596777i \(0.203552\pi\)
\(620\) 0.146942 + 0.374402i 0.00590134 + 0.0150364i
\(621\) −21.6206 + 6.66909i −0.867607 + 0.267621i
\(622\) 32.4918 30.1480i 1.30280 1.20882i
\(623\) 16.4244 20.5956i 0.658031 0.825145i
\(624\) 16.0131 20.0798i 0.641037 0.803835i
\(625\) −14.5090 + 13.4624i −0.580359 + 0.538494i
\(626\) −28.8661 + 8.90401i −1.15372 + 0.355876i
\(627\) −4.80064 12.2318i −0.191719 0.488492i
\(628\) 16.8310 11.4752i 0.671628 0.457908i
\(629\) 5.23847 + 2.52272i 0.208872 + 0.100587i
\(630\) 19.7418 + 18.3177i 0.786531 + 0.729794i
\(631\) 1.89851 0.286155i 0.0755786 0.0113916i −0.111144 0.993804i \(-0.535452\pi\)
0.186723 + 0.982413i \(0.440213\pi\)
\(632\) 0.397707 5.30704i 0.0158200 0.211103i
\(633\) 20.5685 52.4076i 0.817523 2.08302i
\(634\) 9.39123 + 41.1457i 0.372973 + 1.63410i
\(635\) 0.168499 + 2.24846i 0.00668667 + 0.0892274i
\(636\) −19.8134 6.11162i −0.785652 0.242341i
\(637\) 18.9034 9.10337i 0.748978 0.360689i
\(638\) −13.7554 + 23.8251i −0.544582 + 0.943243i
\(639\) 15.4847 + 26.8203i 0.612566 + 1.06099i
\(640\) 5.26419 + 3.58906i 0.208085 + 0.141870i
\(641\) 6.59005 28.8729i 0.260291 1.14041i −0.660645 0.750698i \(-0.729717\pi\)
0.920937 0.389712i \(-0.127426\pi\)
\(642\) 30.6130 + 4.61417i 1.20820 + 0.182107i
\(643\) −6.44594 8.08296i −0.254203 0.318761i 0.638312 0.769778i \(-0.279633\pi\)
−0.892515 + 0.451017i \(0.851061\pi\)
\(644\) 14.0562 0.553890
\(645\) −1.45979 + 11.5086i −0.0574790 + 0.453150i
\(646\) 5.69725 0.224155
\(647\) 9.51303 + 11.9290i 0.373996 + 0.468976i 0.932837 0.360299i \(-0.117325\pi\)
−0.558841 + 0.829275i \(0.688754\pi\)
\(648\) −10.4488 1.57490i −0.410468 0.0618681i
\(649\) −2.31491 + 10.1423i −0.0908681 + 0.398119i
\(650\) −11.9347 8.13694i −0.468117 0.319157i
\(651\) −3.68878 6.38915i −0.144575 0.250411i
\(652\) −12.9131 + 22.3662i −0.505717 + 0.875927i
\(653\) 1.77106 0.852898i 0.0693070 0.0333765i −0.398909 0.916990i \(-0.630611\pi\)
0.468216 + 0.883614i \(0.344897\pi\)
\(654\) −3.98922 1.23051i −0.155991 0.0481168i
\(655\) 0.773602 + 10.3230i 0.0302271 + 0.403353i
\(656\) 2.34914 + 10.2922i 0.0917184 + 0.401845i
\(657\) −29.7968 + 75.9210i −1.16248 + 2.96196i
\(658\) 5.44695 72.6844i 0.212344 2.83353i
\(659\) 29.3755 4.42764i 1.14431 0.172476i 0.450594 0.892729i \(-0.351212\pi\)
0.693712 + 0.720252i \(0.255974\pi\)
\(660\) 3.12419 + 2.89883i 0.121609 + 0.112837i
\(661\) 10.6317 + 5.11995i 0.413525 + 0.199143i 0.629066 0.777352i \(-0.283437\pi\)
−0.215542 + 0.976495i \(0.569152\pi\)
\(662\) −35.6426 + 24.3007i −1.38529 + 0.944474i
\(663\) −2.77283 7.06505i −0.107688 0.274384i
\(664\) −14.4044 + 4.44317i −0.558999 + 0.172428i
\(665\) 4.14961 3.85028i 0.160915 0.149307i
\(666\) 25.5675 32.0607i 0.990722 1.24233i
\(667\) 12.8562 16.1212i 0.497794 0.624214i
\(668\) −7.35624 + 6.82559i −0.284621 + 0.264090i
\(669\) 27.3939 8.44989i 1.05911 0.326692i
\(670\) −0.206064 0.525042i −0.00796094 0.0202841i
\(671\) −16.4602 + 11.2224i −0.635439 + 0.433235i
\(672\) 69.3554 + 33.3998i 2.67544 + 1.28843i
\(673\) −14.9166 13.8406i −0.574993 0.533516i 0.338183 0.941080i \(-0.390188\pi\)
−0.913176 + 0.407565i \(0.866378\pi\)
\(674\) −27.4141 + 4.13201i −1.05595 + 0.159159i
\(675\) −2.88460 + 38.4923i −0.111028 + 1.48157i
\(676\) −4.30677 + 10.9735i −0.165645 + 0.422057i
\(677\) 5.30533 + 23.2442i 0.203900 + 0.893346i 0.968534 + 0.248881i \(0.0800628\pi\)
−0.764634 + 0.644465i \(0.777080\pi\)
\(678\) 2.38186 + 31.7838i 0.0914749 + 1.22065i
\(679\) −42.7560 13.1885i −1.64082 0.506127i
\(680\) 1.14885 0.553255i 0.0440562 0.0212164i
\(681\) 26.1910 45.3641i 1.00364 1.73836i
\(682\) −1.03509 1.79283i −0.0396356 0.0686509i
\(683\) 29.2625 + 19.9508i 1.11970 + 0.763398i 0.974138 0.225952i \(-0.0725492\pi\)
0.145560 + 0.989349i \(0.453502\pi\)
\(684\) 3.32383 14.5627i 0.127090 0.556818i
\(685\) 1.83426 + 0.276471i 0.0700836 + 0.0105634i
\(686\) 24.4451 + 30.6532i 0.933320 + 1.17035i
\(687\) −0.702556 −0.0268042
\(688\) 5.60693 + 32.0803i 0.213762 + 1.22305i
\(689\) 10.2948 0.392202
\(690\) −5.35763 6.71826i −0.203962 0.255760i
\(691\) −15.4237 2.32475i −0.586746 0.0884377i −0.151041 0.988527i \(-0.548263\pi\)
−0.435704 + 0.900090i \(0.643501\pi\)
\(692\) 2.91866 12.7875i 0.110951 0.486107i
\(693\) −42.5751 29.0272i −1.61729 1.10265i
\(694\) −12.3076 21.3174i −0.467191 0.809198i
\(695\) 1.55686 2.69657i 0.0590552 0.102287i
\(696\) 29.4974 14.2052i 1.11810 0.538446i
\(697\) 2.98112 + 0.919554i 0.112918 + 0.0348306i
\(698\) −1.79179 23.9098i −0.0678204 0.905001i
\(699\) −4.60007 20.1542i −0.173991 0.762304i
\(700\) 8.76094 22.3225i 0.331132 0.843712i
\(701\) 0.820522 10.9491i 0.0309907 0.413542i −0.960036 0.279877i \(-0.909706\pi\)
0.991027 0.133665i \(-0.0426746\pi\)
\(702\) −25.5598 + 3.85252i −0.964693 + 0.145404i
\(703\) −6.31852 5.86273i −0.238308 0.221117i
\(704\) 1.24354 + 0.598857i 0.0468677 + 0.0225703i
\(705\) −13.6861 + 9.33100i −0.515447 + 0.351426i
\(706\) −4.97118 12.6664i −0.187093 0.476705i
\(707\) 46.6128 14.3781i 1.75305 0.540746i
\(708\) −13.1517 + 12.2030i −0.494273 + 0.458618i
\(709\) 20.7337 25.9992i 0.778670 0.976421i −0.221329 0.975199i \(-0.571040\pi\)
0.999999 0.00122191i \(-0.000388946\pi\)
\(710\) −3.54118 + 4.44049i −0.132898 + 0.166649i
\(711\) −15.5339 + 14.4134i −0.582568 + 0.540544i
\(712\) −8.40601 + 2.59291i −0.315029 + 0.0971735i
\(713\) 0.566873 + 1.44437i 0.0212295 + 0.0540920i
\(714\) 28.0052 19.0936i 1.04807 0.714560i
\(715\) −1.90650 0.918122i −0.0712991 0.0343358i
\(716\) 13.3735 + 12.4088i 0.499791 + 0.463738i
\(717\) 86.6065 13.0538i 3.23438 0.487504i
\(718\) −2.24350 + 29.9375i −0.0837268 + 1.11726i
\(719\) −8.42223 + 21.4595i −0.314096 + 0.800304i 0.683431 + 0.730015i \(0.260487\pi\)
−0.997527 + 0.0702882i \(0.977608\pi\)
\(720\) −3.82316 16.7504i −0.142481 0.624250i
\(721\) 0.0454960 + 0.607102i 0.00169436 + 0.0226096i
\(722\) 24.3231 + 7.50268i 0.905211 + 0.279221i
\(723\) −46.4608 + 22.3743i −1.72789 + 0.832110i
\(724\) 1.89818 3.28774i 0.0705453 0.122188i
\(725\) −17.5889 30.4649i −0.653235 1.13144i
\(726\) 29.9838 + 20.4426i 1.11280 + 0.758695i
\(727\) −6.21668 + 27.2370i −0.230564 + 1.01017i 0.718610 + 0.695413i \(0.244779\pi\)
−0.949174 + 0.314753i \(0.898078\pi\)
\(728\) −10.9573 1.65155i −0.406105 0.0612104i
\(729\) −19.8866 24.9370i −0.736540 0.923592i
\(730\) −14.9574 −0.553599
\(731\) 9.03855 + 3.30516i 0.334303 + 0.122246i
\(732\) −34.3570 −1.26987
\(733\) 4.22218 + 5.29445i 0.155950 + 0.195555i 0.853668 0.520817i \(-0.174373\pi\)
−0.697718 + 0.716372i \(0.745801\pi\)
\(734\) 0.128687 + 0.0193964i 0.00474991 + 0.000715934i
\(735\) 4.73831 20.7599i 0.174775 0.765740i
\(736\) −13.3768 9.12011i −0.493074 0.336172i
\(737\) 0.539600 + 0.934614i 0.0198764 + 0.0344269i
\(738\) 11.0015 19.0551i 0.404970 0.701428i
\(739\) −13.6045 + 6.55159i −0.500450 + 0.241004i −0.667040 0.745022i \(-0.732439\pi\)
0.166590 + 0.986026i \(0.446725\pi\)
\(740\) 2.67145 + 0.824033i 0.0982045 + 0.0302921i
\(741\) 0.840826 + 11.2200i 0.0308885 + 0.412178i
\(742\) 10.2305 + 44.8228i 0.375574 + 1.64550i
\(743\) 9.34603 23.8133i 0.342873 0.873626i −0.650586 0.759433i \(-0.725477\pi\)
0.993459 0.114193i \(-0.0364282\pi\)
\(744\) −0.184108 + 2.45675i −0.00674974 + 0.0900690i
\(745\) 12.0070 1.80976i 0.439903 0.0663046i
\(746\) 33.6876 + 31.2576i 1.23339 + 1.14442i
\(747\) 54.0779 + 26.0425i 1.97861 + 0.952847i
\(748\) 2.92127 1.99169i 0.106812 0.0728233i
\(749\) −9.32295 23.7545i −0.340653 0.867970i
\(750\) −29.0896 + 8.97296i −1.06220 + 0.327646i
\(751\) −19.4680 + 18.0637i −0.710398 + 0.659153i −0.950190 0.311671i \(-0.899111\pi\)
0.239792 + 0.970824i \(0.422921\pi\)
\(752\) −28.9926 + 36.3556i −1.05725 + 1.32575i
\(753\) −36.1874 + 45.3776i −1.31874 + 1.65365i
\(754\) 17.2683 16.0226i 0.628873 0.583509i
\(755\) 11.3773 3.50943i 0.414062 0.127721i
\(756\) −15.6776 39.9460i −0.570190 1.45282i
\(757\) −35.7878 + 24.3997i −1.30073 + 0.886824i −0.997807 0.0661909i \(-0.978915\pi\)
−0.302924 + 0.953015i \(0.597963\pi\)
\(758\) −25.7959 12.4227i −0.936951 0.451212i
\(759\) 12.0525 + 11.1831i 0.437478 + 0.405920i
\(760\) −1.86922 + 0.281739i −0.0678037 + 0.0102198i
\(761\) −2.59319 + 34.6036i −0.0940029 + 1.25438i 0.728271 + 0.685289i \(0.240324\pi\)
−0.822274 + 0.569092i \(0.807295\pi\)
\(762\) 7.31215 18.6311i 0.264891 0.674932i
\(763\) 0.765713 + 3.35481i 0.0277207 + 0.121452i
\(764\) −0.471623 6.29337i −0.0170627 0.227686i
\(765\) −4.85170 1.49655i −0.175414 0.0541079i
\(766\) −38.7894 + 18.6800i −1.40152 + 0.674935i
\(767\) 4.45393 7.71443i 0.160822 0.278552i
\(768\) −30.2890 52.4620i −1.09296 1.89306i
\(769\) −12.9224 8.81031i −0.465992 0.317708i 0.307462 0.951560i \(-0.400520\pi\)
−0.773454 + 0.633852i \(0.781473\pi\)
\(770\) 2.10284 9.21314i 0.0757810 0.332018i
\(771\) −64.4672 9.71687i −2.32173 0.349944i
\(772\) −4.95955