Properties

Label 441.2.bh.a.104.42
Level $441$
Weight $2$
Character 441.104
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 104.42
Character \(\chi\) \(=\) 441.104
Dual form 441.2.bh.a.335.42

$q$-expansion

\(f(q)\) \(=\) \(q+(0.244765 - 1.62391i) q^{2} +(-1.73002 - 0.0837976i) q^{3} +(-0.666033 - 0.205444i) q^{4} +(-0.532661 + 0.363162i) q^{5} +(-0.559529 + 2.78889i) q^{6} +(1.40053 + 2.24466i) q^{7} +(0.928450 - 1.92795i) q^{8} +(2.98596 + 0.289944i) q^{9} +O(q^{10})\) \(q+(0.244765 - 1.62391i) q^{2} +(-1.73002 - 0.0837976i) q^{3} +(-0.666033 - 0.205444i) q^{4} +(-0.532661 + 0.363162i) q^{5} +(-0.559529 + 2.78889i) q^{6} +(1.40053 + 2.24466i) q^{7} +(0.928450 - 1.92795i) q^{8} +(2.98596 + 0.289944i) q^{9} +(0.459366 + 0.953884i) q^{10} +(0.457227 - 3.03350i) q^{11} +(1.13504 + 0.411234i) q^{12} +(2.65209 - 1.04087i) q^{13} +(3.98794 - 1.72492i) q^{14} +(0.951948 - 0.583643i) q^{15} +(-4.05534 - 2.76488i) q^{16} +(-0.255080 + 1.11758i) q^{17} +(1.20170 - 4.77796i) q^{18} -2.78250i q^{19} +(0.429379 - 0.132446i) q^{20} +(-2.23485 - 4.00068i) q^{21} +(-4.81422 - 1.48499i) q^{22} +(2.56760 - 8.32397i) q^{23} +(-1.76780 + 3.25759i) q^{24} +(-1.67486 + 4.26748i) q^{25} +(-1.04114 - 4.56154i) q^{26} +(-5.14147 - 0.751825i) q^{27} +(-0.471647 - 1.78275i) q^{28} +(0.370056 + 1.19969i) q^{29} +(-0.714781 - 1.68873i) q^{30} +(4.77494 + 2.75681i) q^{31} +(-2.57158 + 2.77150i) q^{32} +(-1.04521 + 5.20971i) q^{33} +(1.75242 + 0.687772i) q^{34} +(-1.56119 - 0.687025i) q^{35} +(-1.92918 - 0.806558i) q^{36} +(2.37473 - 10.4044i) q^{37} +(-4.51854 - 0.681060i) q^{38} +(-4.67541 + 1.57849i) q^{39} +(0.205608 + 1.36412i) q^{40} +(-3.15378 + 2.15021i) q^{41} +(-7.04376 + 2.64997i) q^{42} +(1.21486 + 0.828275i) q^{43} +(-0.927742 + 1.92648i) q^{44} +(-1.69580 + 0.929945i) q^{45} +(-12.8889 - 6.20698i) q^{46} +(4.72501 + 0.712181i) q^{47} +(6.78413 + 5.12314i) q^{48} +(-3.07703 + 6.28744i) q^{49} +(6.52007 + 3.76436i) q^{50} +(0.534945 - 1.91206i) q^{51} +(-1.98022 + 0.148397i) q^{52} +(1.35105 - 0.308368i) q^{53} +(-2.47935 + 8.16528i) q^{54} +(0.858106 + 1.78188i) q^{55} +(5.62792 - 0.616091i) q^{56} +(-0.233167 + 4.81379i) q^{57} +(2.03877 - 0.307295i) q^{58} +(0.720911 - 9.61989i) q^{59} +(-0.753934 + 0.193153i) q^{60} +(0.916733 + 2.97197i) q^{61} +(5.64555 - 7.07930i) q^{62} +(3.53110 + 7.10854i) q^{63} +(-2.24917 - 2.82037i) q^{64} +(-1.03466 + 1.51757i) q^{65} +(8.20428 + 2.97249i) q^{66} +(-2.45560 + 4.25322i) q^{67} +(0.399492 - 0.691940i) q^{68} +(-5.13954 + 14.1855i) q^{69} +(-1.49779 + 2.36707i) q^{70} +(6.56623 - 1.49870i) q^{71} +(3.33131 - 5.48757i) q^{72} +(-0.705605 + 0.562701i) q^{73} +(-16.3145 - 6.40298i) q^{74} +(3.25516 - 7.24249i) q^{75} +(-0.571648 + 1.85324i) q^{76} +(7.44955 - 3.22219i) q^{77} +(1.41895 + 7.97880i) q^{78} +(6.63674 + 11.4952i) q^{79} +3.16422 q^{80} +(8.83187 + 1.73152i) q^{81} +(2.71981 + 5.64775i) q^{82} +(-2.16620 + 5.51939i) q^{83} +(0.666569 + 3.12372i) q^{84} +(-0.269991 - 0.687927i) q^{85} +(1.64240 - 1.77009i) q^{86} +(-0.539674 - 2.10651i) q^{87} +(-5.42392 - 3.69796i) q^{88} +(-4.79110 - 6.00784i) q^{89} +(1.09508 + 2.98145i) q^{90} +(6.05074 + 4.49529i) q^{91} +(-3.42022 + 5.01654i) q^{92} +(-8.02973 - 5.16947i) q^{93} +(2.31304 - 7.49869i) q^{94} +(1.01050 + 1.48213i) q^{95} +(4.68114 - 4.57927i) q^{96} +(-11.1315 + 6.42677i) q^{97} +(9.45710 + 6.53577i) q^{98} +(2.24480 - 8.92533i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648q - 15q^{2} - 14q^{3} - 57q^{4} - 21q^{5} + 14q^{6} - 5q^{7} - 20q^{9} + O(q^{10}) \) \( 648q - 15q^{2} - 14q^{3} - 57q^{4} - 21q^{5} + 14q^{6} - 5q^{7} - 20q^{9} - 28q^{10} - 15q^{11} + 21q^{12} - 7q^{13} - 114q^{14} - 10q^{15} + 39q^{16} - 18q^{18} - 21q^{20} + 10q^{21} + 3q^{22} + 30q^{23} - 14q^{24} + 41q^{25} + 7q^{27} - 20q^{28} + 75q^{29} - 70q^{30} - 39q^{32} - 14q^{33} - 7q^{34} - 128q^{36} - 10q^{37} + 21q^{38} - 36q^{39} - 7q^{40} - 21q^{41} + 104q^{42} + 3q^{43} - 35q^{45} - 72q^{46} - 147q^{47} - 13q^{49} - 18q^{50} + 22q^{51} - 35q^{52} - 14q^{54} - 112q^{55} - 63q^{56} - 16q^{57} + 33q^{58} - 21q^{59} - 90q^{60} - 56q^{61} - 38q^{63} + 52q^{64} + 27q^{65} - 42q^{66} - 26q^{67} - 182q^{69} - 25q^{70} + 24q^{72} - 28q^{73} + 33q^{74} - 14q^{75} + 21q^{76} + 3q^{77} + 90q^{78} - 2q^{79} + 56q^{81} - 28q^{82} - 21q^{83} + 116q^{84} + 5q^{85} - 123q^{86} - 70q^{87} - 41q^{88} - 224q^{90} - 4q^{91} - 225q^{92} + 112q^{93} - 7q^{94} - 12q^{95} - 371q^{96} + 224q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{9}{14}\right)\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.244765 1.62391i 0.173075 1.14828i −0.718540 0.695485i \(-0.755189\pi\)
0.891615 0.452793i \(-0.149572\pi\)
\(3\) −1.73002 0.0837976i −0.998829 0.0483806i
\(4\) −0.666033 0.205444i −0.333016 0.102722i
\(5\) −0.532661 + 0.363162i −0.238213 + 0.162411i −0.676543 0.736403i \(-0.736523\pi\)
0.438330 + 0.898814i \(0.355570\pi\)
\(6\) −0.559529 + 2.78889i −0.228427 + 1.13856i
\(7\) 1.40053 + 2.24466i 0.529351 + 0.848403i
\(8\) 0.928450 1.92795i 0.328257 0.681632i
\(9\) 2.98596 + 0.289944i 0.995319 + 0.0966479i
\(10\) 0.459366 + 0.953884i 0.145264 + 0.301645i
\(11\) 0.457227 3.03350i 0.137859 0.914635i −0.807796 0.589463i \(-0.799340\pi\)
0.945655 0.325172i \(-0.105422\pi\)
\(12\) 1.13504 + 0.411234i 0.327657 + 0.118713i
\(13\) 2.65209 1.04087i 0.735559 0.288686i 0.0321616 0.999483i \(-0.489761\pi\)
0.703397 + 0.710797i \(0.251666\pi\)
\(14\) 3.98794 1.72492i 1.06582 0.461005i
\(15\) 0.951948 0.583643i 0.245792 0.150696i
\(16\) −4.05534 2.76488i −1.01383 0.691220i
\(17\) −0.255080 + 1.11758i −0.0618660 + 0.271053i −0.996395 0.0848340i \(-0.972964\pi\)
0.934529 + 0.355887i \(0.115821\pi\)
\(18\) 1.20170 4.77796i 0.283244 1.12618i
\(19\) 2.78250i 0.638350i −0.947696 0.319175i \(-0.896594\pi\)
0.947696 0.319175i \(-0.103406\pi\)
\(20\) 0.429379 0.132446i 0.0960121 0.0296158i
\(21\) −2.23485 4.00068i −0.487685 0.873020i
\(22\) −4.81422 1.48499i −1.02640 0.316601i
\(23\) 2.56760 8.32397i 0.535382 1.73567i −0.132289 0.991211i \(-0.542233\pi\)
0.667671 0.744456i \(-0.267291\pi\)
\(24\) −1.76780 + 3.25759i −0.360850 + 0.664953i
\(25\) −1.67486 + 4.26748i −0.334973 + 0.853497i
\(26\) −1.04114 4.56154i −0.204184 0.894591i
\(27\) −5.14147 0.751825i −0.989477 0.144689i
\(28\) −0.471647 1.78275i −0.0891329 0.336908i
\(29\) 0.370056 + 1.19969i 0.0687177 + 0.222777i 0.983417 0.181357i \(-0.0580490\pi\)
−0.914700 + 0.404134i \(0.867573\pi\)
\(30\) −0.714781 1.68873i −0.130501 0.308319i
\(31\) 4.77494 + 2.75681i 0.857604 + 0.495138i 0.863209 0.504847i \(-0.168451\pi\)
−0.00560541 + 0.999984i \(0.501784\pi\)
\(32\) −2.57158 + 2.77150i −0.454595 + 0.489937i
\(33\) −1.04521 + 5.20971i −0.181948 + 0.906894i
\(34\) 1.75242 + 0.687772i 0.300537 + 0.117952i
\(35\) −1.56119 0.687025i −0.263888 0.116128i
\(36\) −1.92918 0.806558i −0.321529 0.134426i
\(37\) 2.37473 10.4044i 0.390403 1.71047i −0.272836 0.962061i \(-0.587962\pi\)
0.663239 0.748408i \(-0.269181\pi\)
\(38\) −4.51854 0.681060i −0.733004 0.110483i
\(39\) −4.67541 + 1.57849i −0.748664 + 0.252761i
\(40\) 0.205608 + 1.36412i 0.0325095 + 0.215686i
\(41\) −3.15378 + 2.15021i −0.492537 + 0.335806i −0.783984 0.620781i \(-0.786816\pi\)
0.291447 + 0.956587i \(0.405863\pi\)
\(42\) −7.04376 + 2.64997i −1.08688 + 0.408900i
\(43\) 1.21486 + 0.828275i 0.185264 + 0.126311i 0.652401 0.757874i \(-0.273762\pi\)
−0.467137 + 0.884185i \(0.654714\pi\)
\(44\) −0.927742 + 1.92648i −0.139862 + 0.290427i
\(45\) −1.69580 + 0.929945i −0.252795 + 0.138628i
\(46\) −12.8889 6.20698i −1.90037 0.915169i
\(47\) 4.72501 + 0.712181i 0.689214 + 0.103882i 0.484306 0.874899i \(-0.339072\pi\)
0.204908 + 0.978781i \(0.434310\pi\)
\(48\) 6.78413 + 5.12314i 0.979205 + 0.739461i
\(49\) −3.07703 + 6.28744i −0.439575 + 0.898206i
\(50\) 6.52007 + 3.76436i 0.922077 + 0.532361i
\(51\) 0.534945 1.91206i 0.0749073 0.267742i
\(52\) −1.98022 + 0.148397i −0.274607 + 0.0205790i
\(53\) 1.35105 0.308368i 0.185581 0.0423576i −0.128720 0.991681i \(-0.541087\pi\)
0.314301 + 0.949323i \(0.398230\pi\)
\(54\) −2.47935 + 8.16528i −0.337397 + 1.11115i
\(55\) 0.858106 + 1.78188i 0.115707 + 0.240268i
\(56\) 5.62792 0.616091i 0.752062 0.0823286i
\(57\) −0.233167 + 4.81379i −0.0308838 + 0.637603i
\(58\) 2.03877 0.307295i 0.267704 0.0403499i
\(59\) 0.720911 9.61989i 0.0938546 1.25240i −0.729144 0.684360i \(-0.760082\pi\)
0.822999 0.568043i \(-0.192299\pi\)
\(60\) −0.753934 + 0.193153i −0.0973325 + 0.0249360i
\(61\) 0.916733 + 2.97197i 0.117376 + 0.380522i 0.995128 0.0985924i \(-0.0314340\pi\)
−0.877752 + 0.479115i \(0.840958\pi\)
\(62\) 5.64555 7.07930i 0.716986 0.899072i
\(63\) 3.53110 + 7.10854i 0.444876 + 0.895592i
\(64\) −2.24917 2.82037i −0.281146 0.352546i
\(65\) −1.03466 + 1.51757i −0.128334 + 0.188232i
\(66\) 8.20428 + 2.97249i 1.00988 + 0.365888i
\(67\) −2.45560 + 4.25322i −0.299999 + 0.519614i −0.976135 0.217163i \(-0.930320\pi\)
0.676136 + 0.736777i \(0.263653\pi\)
\(68\) 0.399492 0.691940i 0.0484455 0.0839100i
\(69\) −5.13954 + 14.1855i −0.618728 + 1.70773i
\(70\) −1.49779 + 2.36707i −0.179020 + 0.282919i
\(71\) 6.56623 1.49870i 0.779269 0.177863i 0.185657 0.982615i \(-0.440559\pi\)
0.593612 + 0.804752i \(0.297702\pi\)
\(72\) 3.33131 5.48757i 0.392598 0.646716i
\(73\) −0.705605 + 0.562701i −0.0825848 + 0.0658592i −0.663912 0.747811i \(-0.731105\pi\)
0.581327 + 0.813670i \(0.302534\pi\)
\(74\) −16.3145 6.40298i −1.89653 0.744331i
\(75\) 3.25516 7.24249i 0.375873 0.836291i
\(76\) −0.571648 + 1.85324i −0.0655726 + 0.212581i
\(77\) 7.44955 3.22219i 0.848955 0.367203i
\(78\) 1.41895 + 7.97880i 0.160665 + 0.903422i
\(79\) 6.63674 + 11.4952i 0.746691 + 1.29331i 0.949400 + 0.314068i \(0.101692\pi\)
−0.202709 + 0.979239i \(0.564975\pi\)
\(80\) 3.16422 0.353771
\(81\) 8.83187 + 1.73152i 0.981318 + 0.192391i
\(82\) 2.71981 + 5.64775i 0.300353 + 0.623690i
\(83\) −2.16620 + 5.51939i −0.237771 + 0.605831i −0.999095 0.0425409i \(-0.986455\pi\)
0.761323 + 0.648372i \(0.224550\pi\)
\(84\) 0.666569 + 3.12372i 0.0727287 + 0.340826i
\(85\) −0.269991 0.687927i −0.0292847 0.0746161i
\(86\) 1.64240 1.77009i 0.177105 0.190873i
\(87\) −0.539674 2.10651i −0.0578592 0.225841i
\(88\) −5.42392 3.69796i −0.578192 0.394204i
\(89\) −4.79110 6.00784i −0.507855 0.636830i 0.460126 0.887854i \(-0.347804\pi\)
−0.967981 + 0.251023i \(0.919233\pi\)
\(90\) 1.09508 + 2.98145i 0.115431 + 0.314272i
\(91\) 6.05074 + 4.49529i 0.634290 + 0.471234i
\(92\) −3.42022 + 5.01654i −0.356582 + 0.523010i
\(93\) −8.02973 5.16947i −0.832644 0.536049i
\(94\) 2.31304 7.49869i 0.238572 0.773431i
\(95\) 1.01050 + 1.48213i 0.103675 + 0.152063i
\(96\) 4.68114 4.57927i 0.477767 0.467370i
\(97\) −11.1315 + 6.42677i −1.13023 + 0.652539i −0.943993 0.329965i \(-0.892963\pi\)
−0.186238 + 0.982505i \(0.559630\pi\)
\(98\) 9.45710 + 6.53577i 0.955311 + 0.660212i
\(99\) 2.24480 8.92533i 0.225611 0.897030i
\(100\) 1.99224 2.49819i 0.199224 0.249819i
\(101\) 1.13724 + 15.1754i 0.113159 + 1.51001i 0.708029 + 0.706184i \(0.249585\pi\)
−0.594870 + 0.803822i \(0.702796\pi\)
\(102\) −2.97408 1.33671i −0.294478 0.132354i
\(103\) −7.90066 11.5881i −0.778475 1.14181i −0.986511 0.163693i \(-0.947659\pi\)
0.208036 0.978121i \(-0.433293\pi\)
\(104\) 0.455595 6.07949i 0.0446748 0.596143i
\(105\) 2.64331 + 1.31939i 0.257961 + 0.128760i
\(106\) −0.170073 2.26946i −0.0165189 0.220430i
\(107\) 5.83450 4.65286i 0.564043 0.449809i −0.299492 0.954099i \(-0.596817\pi\)
0.863534 + 0.504290i \(0.168246\pi\)
\(108\) 3.26993 + 1.55702i 0.314649 + 0.149825i
\(109\) −6.76887 + 8.48790i −0.648341 + 0.812993i −0.992018 0.126094i \(-0.959756\pi\)
0.343678 + 0.939088i \(0.388327\pi\)
\(110\) 3.10364 0.957347i 0.295921 0.0912795i
\(111\) −4.98020 + 17.8008i −0.472700 + 1.68958i
\(112\) 0.526605 12.9752i 0.0497595 1.22604i
\(113\) 2.52748 + 16.7687i 0.237765 + 1.57747i 0.715276 + 0.698842i \(0.246301\pi\)
−0.477511 + 0.878626i \(0.658461\pi\)
\(114\) 7.76010 + 1.55689i 0.726800 + 0.145816i
\(115\) 1.65529 + 5.36631i 0.154356 + 0.500411i
\(116\) 0.875061i 0.0812473i
\(117\) 8.22083 2.33904i 0.760016 0.216244i
\(118\) −15.4454 3.52531i −1.42186 0.324531i
\(119\) −2.86584 + 0.992635i −0.262711 + 0.0909947i
\(120\) −0.241397 2.37719i −0.0220364 0.217007i
\(121\) 1.51823 + 0.468311i 0.138021 + 0.0425737i
\(122\) 5.05061 0.761257i 0.457260 0.0689209i
\(123\) 5.63629 3.45563i 0.508207 0.311584i
\(124\) −2.61389 2.81711i −0.234735 0.252984i
\(125\) −1.37493 6.02396i −0.122977 0.538800i
\(126\) 12.4079 3.99427i 1.10539 0.355837i
\(127\) 1.55697 6.82153i 0.138159 0.605313i −0.857680 0.514183i \(-0.828095\pi\)
0.995839 0.0911297i \(-0.0290478\pi\)
\(128\) −11.6790 + 6.74290i −1.03229 + 0.595994i
\(129\) −2.03232 1.53474i −0.178936 0.135126i
\(130\) 2.21115 + 2.05165i 0.193931 + 0.179942i
\(131\) −1.31386 + 17.5322i −0.114792 + 1.53180i 0.581206 + 0.813756i \(0.302581\pi\)
−0.695999 + 0.718043i \(0.745038\pi\)
\(132\) 1.76645 3.25511i 0.153750 0.283321i
\(133\) 6.24578 3.89698i 0.541578 0.337911i
\(134\) 6.30581 + 5.02872i 0.544739 + 0.434415i
\(135\) 3.01170 1.46672i 0.259206 0.126235i
\(136\) 1.91780 + 1.52940i 0.164450 + 0.131145i
\(137\) −3.06722 + 4.49878i −0.262050 + 0.384357i −0.934603 0.355692i \(-0.884245\pi\)
0.672553 + 0.740049i \(0.265198\pi\)
\(138\) 21.7780 + 11.8183i 1.85387 + 1.00604i
\(139\) −1.34521 1.97306i −0.114099 0.167353i 0.764941 0.644100i \(-0.222768\pi\)
−0.879040 + 0.476747i \(0.841816\pi\)
\(140\) 0.898655 + 0.778317i 0.0759502 + 0.0657798i
\(141\) −8.11470 1.62803i −0.683381 0.137105i
\(142\) −0.826570 11.0298i −0.0693642 0.925601i
\(143\) −1.94487 8.52105i −0.162638 0.712566i
\(144\) −11.3074 9.43163i −0.942283 0.785970i
\(145\) −0.632798 0.504639i −0.0525510 0.0419080i
\(146\) 0.741069 + 1.28357i 0.0613313 + 0.106229i
\(147\) 5.85020 10.6196i 0.482516 0.875887i
\(148\) −3.71916 + 6.44178i −0.305713 + 0.529511i
\(149\) −16.7626 + 6.57883i −1.37324 + 0.538959i −0.933310 0.359071i \(-0.883093\pi\)
−0.439934 + 0.898030i \(0.644998\pi\)
\(150\) −10.9644 7.05880i −0.895241 0.576348i
\(151\) −7.03764 + 6.52997i −0.572715 + 0.531402i −0.912487 0.409106i \(-0.865841\pi\)
0.339772 + 0.940508i \(0.389650\pi\)
\(152\) −5.36452 2.58342i −0.435120 0.209543i
\(153\) −1.08569 + 3.26308i −0.0877731 + 0.263805i
\(154\) −3.40916 12.8861i −0.274718 1.03839i
\(155\) −3.54459 + 0.265630i −0.284708 + 0.0213360i
\(156\) 3.43826 0.0907924i 0.275281 0.00726921i
\(157\) 20.8222 + 1.56041i 1.66180 + 0.124534i 0.872218 0.489117i \(-0.162681\pi\)
0.789577 + 0.613651i \(0.210300\pi\)
\(158\) 20.2916 7.96385i 1.61431 0.633570i
\(159\) −2.36319 + 0.420269i −0.187413 + 0.0333295i
\(160\) 0.363275 2.41017i 0.0287194 0.190541i
\(161\) 22.2805 5.89457i 1.75595 0.464557i
\(162\) 4.97357 13.9184i 0.390760 1.09353i
\(163\) 15.8504 7.63314i 1.24150 0.597873i 0.306277 0.951942i \(-0.400916\pi\)
0.935219 + 0.354069i \(0.115202\pi\)
\(164\) 2.54227 0.784185i 0.198518 0.0612346i
\(165\) −1.33523 3.15459i −0.103947 0.245585i
\(166\) 8.43278 + 4.86867i 0.654511 + 0.377882i
\(167\) −9.80821 9.10069i −0.758982 0.704232i 0.202445 0.979294i \(-0.435111\pi\)
−0.961427 + 0.275061i \(0.911302\pi\)
\(168\) −9.78805 + 0.594244i −0.755164 + 0.0458470i
\(169\) −3.57948 + 3.32127i −0.275345 + 0.255482i
\(170\) −1.18322 + 0.270061i −0.0907486 + 0.0207128i
\(171\) 0.806769 8.30843i 0.0616952 0.635362i
\(172\) −0.638970 0.801243i −0.0487210 0.0610942i
\(173\) −0.329419 + 0.305656i −0.0250452 + 0.0232386i −0.692596 0.721326i \(-0.743533\pi\)
0.667551 + 0.744564i \(0.267343\pi\)
\(174\) −3.55287 + 0.360784i −0.269343 + 0.0273509i
\(175\) −11.9248 + 2.21724i −0.901427 + 0.167607i
\(176\) −10.2415 + 11.0377i −0.771981 + 0.831997i
\(177\) −2.05332 + 16.5822i −0.154337 + 1.24640i
\(178\) −10.9289 + 6.30980i −0.819156 + 0.472940i
\(179\) −7.21493 1.64676i −0.539269 0.123085i −0.0557932 0.998442i \(-0.517769\pi\)
−0.483476 + 0.875358i \(0.660626\pi\)
\(180\) 1.32051 0.270982i 0.0984249 0.0201978i
\(181\) 4.57595 3.64920i 0.340127 0.271243i −0.438497 0.898733i \(-0.644489\pi\)
0.778625 + 0.627490i \(0.215918\pi\)
\(182\) 8.78096 8.72558i 0.650888 0.646783i
\(183\) −1.33692 5.21840i −0.0988282 0.385755i
\(184\) −13.6643 12.6786i −1.00734 0.934679i
\(185\) 2.51355 + 6.40442i 0.184800 + 0.470862i
\(186\) −10.3602 + 11.7743i −0.759644 + 0.863331i
\(187\) 3.27355 + 1.28477i 0.239386 + 0.0939519i
\(188\) −3.00070 1.44506i −0.218849 0.105392i
\(189\) −5.51320 12.5938i −0.401026 0.916067i
\(190\) 2.65419 1.27819i 0.192555 0.0927295i
\(191\) −24.8033 + 1.85875i −1.79471 + 0.134495i −0.929947 0.367694i \(-0.880147\pi\)
−0.864758 + 0.502188i \(0.832528\pi\)
\(192\) 3.65477 + 5.06778i 0.263760 + 0.365735i
\(193\) −0.802055 + 0.546832i −0.0577332 + 0.0393618i −0.591843 0.806053i \(-0.701599\pi\)
0.534110 + 0.845415i \(0.320647\pi\)
\(194\) 7.71190 + 19.6496i 0.553682 + 1.41076i
\(195\) 1.91716 2.53873i 0.137291 0.181802i
\(196\) 3.34112 3.55548i 0.238651 0.253963i
\(197\) 9.89619i 0.705075i 0.935798 + 0.352537i \(0.114681\pi\)
−0.935798 + 0.352537i \(0.885319\pi\)
\(198\) −13.9445 5.82997i −0.990992 0.414318i
\(199\) −11.0687 + 22.9844i −0.784638 + 1.62932i −0.00751350 + 0.999972i \(0.502392\pi\)
−0.777125 + 0.629346i \(0.783323\pi\)
\(200\) 6.67245 + 7.19120i 0.471814 + 0.508494i
\(201\) 4.60465 7.15240i 0.324787 0.504491i
\(202\) 24.9218 + 1.86763i 1.75349 + 0.131406i
\(203\) −2.17463 + 2.51086i −0.152629 + 0.176228i
\(204\) −0.749112 + 1.16359i −0.0524484 + 0.0814679i
\(205\) 0.899020 2.29067i 0.0627903 0.159987i
\(206\) −20.7519 + 9.99360i −1.44586 + 0.696287i
\(207\) 10.0802 24.1105i 0.700625 1.67580i
\(208\) −13.6330 3.11165i −0.945280 0.215754i
\(209\) −8.44073 1.27224i −0.583857 0.0880023i
\(210\) 2.78957 3.96957i 0.192499 0.273926i
\(211\) 4.00776 0.604072i 0.275906 0.0415861i −0.00963195 0.999954i \(-0.503066\pi\)
0.285537 + 0.958368i \(0.407828\pi\)
\(212\) −0.963195 0.0721815i −0.0661525 0.00495745i
\(213\) −11.4853 + 2.04255i −0.786961 + 0.139953i
\(214\) −6.12775 10.6136i −0.418884 0.725529i
\(215\) −0.947905 −0.0646466
\(216\) −6.22308 + 9.21446i −0.423427 + 0.626964i
\(217\) 0.499333 + 14.5791i 0.0338969 + 0.989695i
\(218\) 12.1268 + 13.0696i 0.821331 + 0.885185i
\(219\) 1.26786 0.914357i 0.0856744 0.0617865i
\(220\) −0.205451 1.36308i −0.0138515 0.0918988i
\(221\) 0.486758 + 3.22943i 0.0327429 + 0.217235i
\(222\) 27.6879 + 12.4444i 1.85829 + 0.835215i
\(223\) −8.56653 9.23252i −0.573657 0.618255i 0.377856 0.925864i \(-0.376662\pi\)
−0.951513 + 0.307609i \(0.900471\pi\)
\(224\) −9.82267 1.89076i −0.656305 0.126331i
\(225\) −6.23840 + 12.2569i −0.415893 + 0.817127i
\(226\) 27.8495 1.85252
\(227\) −9.20020 15.9352i −0.610639 1.05766i −0.991133 0.132874i \(-0.957579\pi\)
0.380494 0.924783i \(-0.375754\pi\)
\(228\) 1.14426 3.15824i 0.0757806 0.209160i
\(229\) −21.4146 1.60480i −1.41512 0.106048i −0.654898 0.755717i \(-0.727288\pi\)
−0.760217 + 0.649669i \(0.774907\pi\)
\(230\) 9.11957 1.37455i 0.601327 0.0906354i
\(231\) −13.1579 + 4.95021i −0.865726 + 0.325700i
\(232\) 2.65652 + 0.400407i 0.174409 + 0.0262880i
\(233\) −10.7990 2.46481i −0.707469 0.161475i −0.146377 0.989229i \(-0.546761\pi\)
−0.561092 + 0.827754i \(0.689618\pi\)
\(234\) −1.78621 13.9224i −0.116768 0.910137i
\(235\) −2.77547 + 1.33660i −0.181052 + 0.0871899i
\(236\) −2.45650 + 6.25906i −0.159904 + 0.407430i
\(237\) −10.5184 20.4430i −0.683246 1.32792i
\(238\) 0.910494 + 4.89683i 0.0590186 + 0.317414i
\(239\) −13.6873 1.02572i −0.885361 0.0663486i −0.375717 0.926734i \(-0.622604\pi\)
−0.509644 + 0.860386i \(0.670223\pi\)
\(240\) −5.47417 0.265154i −0.353356 0.0171156i
\(241\) 14.0690 + 15.1627i 0.906261 + 0.976717i 0.999821 0.0188966i \(-0.00601534\pi\)
−0.0935605 + 0.995614i \(0.529825\pi\)
\(242\) 1.13210 2.35084i 0.0727744 0.151118i
\(243\) −15.1342 3.73565i −0.970861 0.239642i
\(244\) 2.16777i 0.138777i
\(245\) −0.644348 4.46654i −0.0411659 0.285356i
\(246\) −4.23207 9.99865i −0.269827 0.637491i
\(247\) −2.89623 7.37946i −0.184282 0.469544i
\(248\) 9.74827 6.64626i 0.619016 0.422038i
\(249\) 4.21009 9.36714i 0.266803 0.593618i
\(250\) −10.1189 + 0.758308i −0.639976 + 0.0479596i
\(251\) −5.06089 + 2.43720i −0.319441 + 0.153834i −0.586732 0.809781i \(-0.699586\pi\)
0.267291 + 0.963616i \(0.413871\pi\)
\(252\) −0.891420 5.45996i −0.0561542 0.343945i
\(253\) −24.0768 11.5948i −1.51369 0.728957i
\(254\) −10.6965 4.19806i −0.671156 0.263409i
\(255\) 0.409444 + 1.21275i 0.0256404 + 0.0759455i
\(256\) 5.45539 + 13.9001i 0.340962 + 0.868757i
\(257\) −10.4518 9.69788i −0.651967 0.604937i 0.283235 0.959050i \(-0.408592\pi\)
−0.935203 + 0.354113i \(0.884783\pi\)
\(258\) −2.98972 + 2.92466i −0.186132 + 0.182081i
\(259\) 26.6802 9.24117i 1.65783 0.574219i
\(260\) 1.00090 0.798187i 0.0620729 0.0495015i
\(261\) 0.757128 + 3.68953i 0.0468651 + 0.228376i
\(262\) 28.1492 + 6.42488i 1.73906 + 0.396930i
\(263\) 25.1439 14.5168i 1.55044 0.895146i 0.552333 0.833624i \(-0.313738\pi\)
0.998106 0.0615222i \(-0.0195955\pi\)
\(264\) 9.07362 + 6.85207i 0.558443 + 0.421716i
\(265\) −0.607664 + 0.654906i −0.0373285 + 0.0402306i
\(266\) −4.79960 11.0964i −0.294282 0.680367i
\(267\) 7.78526 + 10.7952i 0.476450 + 0.660655i
\(268\) 2.50931 2.32830i 0.153280 0.142223i
\(269\) −1.86936 2.34410i −0.113977 0.142923i 0.721570 0.692341i \(-0.243421\pi\)
−0.835547 + 0.549419i \(0.814849\pi\)
\(270\) −1.64467 5.24973i −0.100091 0.319489i
\(271\) 16.1036 3.67555i 0.978227 0.223274i 0.296622 0.954995i \(-0.404140\pi\)
0.681604 + 0.731721i \(0.261283\pi\)
\(272\) 4.12441 3.82689i 0.250079 0.232040i
\(273\) −10.0912 8.28399i −0.610749 0.501370i
\(274\) 6.55488 + 6.08204i 0.395995 + 0.367429i
\(275\) 12.1796 + 7.03191i 0.734459 + 0.424040i
\(276\) 6.33743 8.39211i 0.381468 0.505146i
\(277\) 10.5295 3.24792i 0.632657 0.195149i 0.0381921 0.999270i \(-0.487840\pi\)
0.594465 + 0.804122i \(0.297364\pi\)
\(278\) −3.53334 + 1.70157i −0.211916 + 0.102053i
\(279\) 13.4584 + 9.61618i 0.805735 + 0.575705i
\(280\) −2.77403 + 2.37201i −0.165780 + 0.141755i
\(281\) −1.01421 + 6.72887i −0.0605030 + 0.401411i 0.937996 + 0.346645i \(0.112679\pi\)
−0.998499 + 0.0547656i \(0.982559\pi\)
\(282\) −4.62998 + 12.7791i −0.275711 + 0.760983i
\(283\) 28.4674 11.1726i 1.69221 0.664145i 0.693785 0.720182i \(-0.255942\pi\)
0.998429 + 0.0560369i \(0.0178465\pi\)
\(284\) −4.68122 0.350809i −0.277780 0.0208167i
\(285\) −1.62399 2.64880i −0.0961968 0.156901i
\(286\) −14.3135 + 1.07265i −0.846373 + 0.0634269i
\(287\) −9.24346 4.06774i −0.545624 0.240111i
\(288\) −8.48221 + 7.52998i −0.499819 + 0.443708i
\(289\) 14.1326 + 6.80588i 0.831327 + 0.400346i
\(290\) −0.974377 + 0.904090i −0.0572174 + 0.0530900i
\(291\) 19.7963 10.1857i 1.16048 0.597094i
\(292\) 0.585559 0.229815i 0.0342673 0.0134489i
\(293\) −0.743927 + 1.28852i −0.0434607 + 0.0752762i −0.886937 0.461889i \(-0.847172\pi\)
0.843477 + 0.537166i \(0.180505\pi\)
\(294\) −15.8133 12.0995i −0.922251 0.705658i
\(295\) 3.10958 + 5.38595i 0.181047 + 0.313582i
\(296\) −17.8543 14.2383i −1.03776 0.827584i
\(297\) −4.63148 + 15.2529i −0.268746 + 0.885064i
\(298\) 6.58054 + 28.8312i 0.381200 + 1.67015i
\(299\) −1.85464 24.7485i −0.107257 1.43124i
\(300\) −3.65597 + 4.15499i −0.211077 + 0.239888i
\(301\) −0.157755 + 3.88697i −0.00909285 + 0.224041i
\(302\) 8.88153 + 13.0268i 0.511075 + 0.749609i
\(303\) −0.695785 26.3490i −0.0399718 1.51371i
\(304\) −7.69329 + 11.2840i −0.441241 + 0.647181i
\(305\) −1.56762 1.25013i −0.0897615 0.0715824i
\(306\) 5.03322 + 2.56176i 0.287730 + 0.146446i
\(307\) −18.1139 14.4453i −1.03381 0.824439i −0.0491310 0.998792i \(-0.515645\pi\)
−0.984683 + 0.174353i \(0.944217\pi\)
\(308\) −5.62362 + 0.615621i −0.320436 + 0.0350782i
\(309\) 12.6973 + 20.7098i 0.722322 + 1.17814i
\(310\) −0.436233 + 5.82112i −0.0247764 + 0.330617i
\(311\) 2.02300 + 1.87707i 0.114714 + 0.106439i 0.735444 0.677585i \(-0.236973\pi\)
−0.620730 + 0.784024i \(0.713164\pi\)
\(312\) −1.29764 + 10.4795i −0.0734642 + 0.593284i
\(313\) 22.8582 13.1972i 1.29202 0.745948i 0.313008 0.949751i \(-0.398663\pi\)
0.979012 + 0.203803i \(0.0653301\pi\)
\(314\) 7.63053 33.4315i 0.430616 1.88665i
\(315\) −4.46243 2.50408i −0.251430 0.141089i
\(316\) −2.05867 9.01963i −0.115809 0.507394i
\(317\) 16.0866 + 17.3373i 0.903515 + 0.973758i 0.999767 0.0215994i \(-0.00687583\pi\)
−0.0962516 + 0.995357i \(0.530685\pi\)
\(318\) 0.104054 + 3.94047i 0.00583506 + 0.220971i
\(319\) 3.80847 0.574035i 0.213233 0.0321398i
\(320\) 2.22230 + 0.685488i 0.124230 + 0.0383199i
\(321\) −10.4837 + 7.56063i −0.585144 + 0.421993i
\(322\) −4.11876 37.6244i −0.229529 2.09672i
\(323\) 3.10967 + 0.709761i 0.173027 + 0.0394922i
\(324\) −5.52658 2.96770i −0.307032 0.164872i
\(325\) 13.0611i 0.724499i
\(326\) −8.51592 27.6079i −0.471653 1.52906i
\(327\) 12.4216 14.1170i 0.686914 0.780674i
\(328\) 1.21736 + 8.07668i 0.0672177 + 0.445960i
\(329\) 5.01892 + 11.6035i 0.276702 + 0.639722i
\(330\) −5.44960 + 1.39615i −0.299990 + 0.0768558i
\(331\) −8.27664 + 2.55301i −0.454925 + 0.140326i −0.513745 0.857943i \(-0.671742\pi\)
0.0588200 + 0.998269i \(0.481266\pi\)
\(332\) 2.57668 3.23106i 0.141414 0.177327i
\(333\) 10.1075 30.3785i 0.553889 1.66473i
\(334\) −17.1794 + 13.7001i −0.940016 + 0.749638i
\(335\) −0.236608 3.15731i −0.0129273 0.172502i
\(336\) −1.99833 + 22.4032i −0.109018 + 1.22220i
\(337\) 0.118294 1.57853i 0.00644391 0.0859880i −0.993055 0.117655i \(-0.962462\pi\)
0.999498 + 0.0316666i \(0.0100815\pi\)
\(338\) 4.51732 + 6.62569i 0.245710 + 0.360390i
\(339\) −2.96741 29.2220i −0.161168 1.58712i
\(340\) 0.0384927 + 0.513650i 0.00208756 + 0.0278566i
\(341\) 10.5460 13.2243i 0.571099 0.716135i
\(342\) −13.2947 3.34374i −0.718894 0.180809i
\(343\) −18.4227 + 1.89886i −0.994730 + 0.102529i
\(344\) 2.72481 1.57317i 0.146912 0.0848195i
\(345\) −2.41400 9.42255i −0.129965 0.507293i
\(346\) 0.415728 + 0.609761i 0.0223497 + 0.0327809i
\(347\) −1.31307 + 4.25688i −0.0704895 + 0.228521i −0.983962 0.178380i \(-0.942914\pi\)
0.913472 + 0.406901i \(0.133391\pi\)
\(348\) −0.0733280 + 1.51387i −0.00393079 + 0.0811522i
\(349\) 12.5982 18.4782i 0.674368 0.989116i −0.324694 0.945819i \(-0.605261\pi\)
0.999062 0.0432971i \(-0.0137862\pi\)
\(350\) 0.681828 + 19.9075i 0.0364452 + 1.06410i
\(351\) −14.4182 + 3.35770i −0.769588 + 0.179221i
\(352\) 7.23157 + 9.06810i 0.385444 + 0.483331i
\(353\) −1.39300 0.949733i −0.0741420 0.0505492i 0.525682 0.850681i \(-0.323810\pi\)
−0.599824 + 0.800132i \(0.704763\pi\)
\(354\) 26.4255 + 7.39316i 1.40450 + 0.392942i
\(355\) −2.95331 + 3.18291i −0.156745 + 0.168931i
\(356\) 1.95675 + 4.98572i 0.103708 + 0.264243i
\(357\) 5.04114 1.47713i 0.266806 0.0781780i
\(358\) −4.44016 + 11.3133i −0.234670 + 0.597928i
\(359\) 10.1194 + 21.0131i 0.534080 + 1.10903i 0.977152 + 0.212543i \(0.0681746\pi\)
−0.443071 + 0.896486i \(0.646111\pi\)
\(360\) 0.218419 + 4.13282i 0.0115117 + 0.217819i
\(361\) 11.2577 0.592509
\(362\) −4.80594 8.32413i −0.252594 0.437507i
\(363\) −2.58732 0.937412i −0.135799 0.0492014i
\(364\) −3.10646 4.23710i −0.162823 0.222084i
\(365\) 0.171496 0.555978i 0.00897654 0.0291012i
\(366\) −8.80146 + 0.893762i −0.460059 + 0.0467177i
\(367\) 12.6673 + 4.97155i 0.661227 + 0.259513i 0.672136 0.740428i \(-0.265377\pi\)
−0.0109084 + 0.999941i \(0.503472\pi\)
\(368\) −33.4273 + 26.6574i −1.74252 + 1.38961i
\(369\) −10.0405 + 5.50601i −0.522687 + 0.286632i
\(370\) 11.0154 2.51420i 0.572665 0.130707i
\(371\) 2.58437 + 2.60077i 0.134174 + 0.135025i
\(372\) 4.28603 + 5.09270i 0.222220 + 0.264044i
\(373\) −6.55224 + 11.3488i −0.339262 + 0.587619i −0.984294 0.176536i \(-0.943511\pi\)
0.645032 + 0.764156i \(0.276844\pi\)
\(374\) 2.88761 5.00149i 0.149315 0.258621i
\(375\) 1.87387 + 10.5368i 0.0967660 + 0.544118i
\(376\) 5.75999 8.44835i 0.297049 0.435691i
\(377\) 2.23015 + 2.79652i 0.114859 + 0.144028i
\(378\) −21.8007 + 5.87041i −1.12131 + 0.301941i
\(379\) 6.53491 8.19452i 0.335676 0.420924i −0.585134 0.810937i \(-0.698958\pi\)
0.920809 + 0.390013i \(0.127529\pi\)
\(380\) −0.368531 1.19475i −0.0189053 0.0612893i
\(381\) −3.26522 + 11.6709i −0.167282 + 0.597920i
\(382\) −3.05254 + 40.7333i −0.156182 + 2.08410i
\(383\) 20.3001 3.05976i 1.03729 0.156346i 0.391749 0.920072i \(-0.371870\pi\)
0.645540 + 0.763726i \(0.276632\pi\)
\(384\) 20.7700 10.6867i 1.05992 0.545353i
\(385\) −2.79791 + 4.42173i −0.142595 + 0.225352i
\(386\) 0.691691 + 1.43631i 0.0352062 + 0.0731063i
\(387\) 3.38736 + 2.82543i 0.172189 + 0.143625i
\(388\) 8.73428 1.99354i 0.443416 0.101207i
\(389\) −12.2463 + 0.917733i −0.620912 + 0.0465309i −0.381472 0.924380i \(-0.624583\pi\)
−0.239440 + 0.970911i \(0.576964\pi\)
\(390\) −3.65342 3.73469i −0.184998 0.189113i
\(391\) 8.64775 + 4.99278i 0.437336 + 0.252496i
\(392\) 9.26498 + 11.7699i 0.467952 + 0.594471i
\(393\) 3.74217 30.2211i 0.188767 1.52445i
\(394\) 16.0705 + 2.42224i 0.809622 + 0.122031i
\(395\) −7.70974 3.71282i −0.387919 0.186812i
\(396\) −3.32877 + 5.48338i −0.167277 + 0.275550i
\(397\) −11.8503 + 24.6074i −0.594750 + 1.23501i 0.358698 + 0.933454i \(0.383221\pi\)
−0.953448 + 0.301558i \(0.902493\pi\)
\(398\) 34.6153 + 23.6003i 1.73511 + 1.18298i
\(399\) −11.1319 + 6.21848i −0.557292 + 0.311314i
\(400\) 18.5912 12.6753i 0.929561 0.633764i
\(401\) 2.76572 + 18.3494i 0.138114 + 0.916325i 0.945341 + 0.326084i \(0.105729\pi\)
−0.807227 + 0.590241i \(0.799033\pi\)
\(402\) −10.4878 9.22821i −0.523084 0.460261i
\(403\) 15.5331 + 2.34123i 0.773757 + 0.116625i
\(404\) 2.36025 10.3409i 0.117427 0.514481i
\(405\) −5.33321 + 2.28509i −0.265010 + 0.113547i
\(406\) 3.54514 + 4.14598i 0.175942 + 0.205762i
\(407\) −30.4759 11.9609i −1.51063 0.592880i
\(408\) −3.18968 2.80660i −0.157913 0.138947i
\(409\) −6.61292 + 7.12703i −0.326988 + 0.352409i −0.875053 0.484026i \(-0.839174\pi\)
0.548066 + 0.836435i \(0.315364\pi\)
\(410\) −3.49979 2.02060i −0.172842 0.0997906i
\(411\) 5.68335 7.52597i 0.280339 0.371229i
\(412\) 2.88139 + 9.34123i 0.141956 + 0.460209i
\(413\) 22.6031 11.8548i 1.11222 0.583334i
\(414\) −36.6861 22.2708i −1.80302 1.09455i
\(415\) −0.850582 3.72664i −0.0417534 0.182934i
\(416\) −3.93530 + 10.0270i −0.192944 + 0.491613i
\(417\) 2.16191 + 3.52617i 0.105869 + 0.172677i
\(418\) −4.13199 + 13.3956i −0.202102 + 0.655200i
\(419\) −23.2596 7.17463i −1.13630 0.350504i −0.331156 0.943576i \(-0.607439\pi\)
−0.805149 + 0.593072i \(0.797915\pi\)
\(420\) −1.48947 1.42181i −0.0726788 0.0693773i
\(421\) 28.3105 8.73262i 1.37977 0.425602i 0.485932 0.873997i \(-0.338480\pi\)
0.893835 + 0.448395i \(0.148004\pi\)
\(422\) 6.65610i 0.324014i
\(423\) 13.9022 + 3.49653i 0.675948 + 0.170007i
\(424\) 0.659865 2.89106i 0.0320459 0.140402i
\(425\) −4.34203 2.96034i −0.210619 0.143598i
\(426\) 0.505713 + 19.1511i 0.0245019 + 0.927873i
\(427\) −5.38717 + 6.22010i −0.260703 + 0.301012i
\(428\) −4.84187 + 1.90029i −0.234041 + 0.0918542i
\(429\) 2.65063 + 14.9046i 0.127974 + 0.719600i
\(430\) −0.232014 + 1.53931i −0.0111887 + 0.0742323i
\(431\) 14.6908 + 30.5057i 0.707630 + 1.46941i 0.875307 + 0.483567i \(0.160659\pi\)
−0.167677 + 0.985842i \(0.553627\pi\)
\(432\) 18.7717 + 17.2645i 0.903154 + 0.830637i
\(433\) −0.0617456 + 0.128216i −0.00296731 + 0.00616167i −0.902447 0.430800i \(-0.858231\pi\)
0.899480 + 0.436962i \(0.143946\pi\)
\(434\) 23.7974 + 2.75759i 1.14231 + 0.132369i
\(435\) 1.05247 + 0.926065i 0.0504619 + 0.0444014i
\(436\) 6.25208 4.26259i 0.299420 0.204141i
\(437\) −23.1615 7.14437i −1.10796 0.341761i
\(438\) −1.17451 2.28270i −0.0561201 0.109072i
\(439\) 2.19142 14.5391i 0.104591 0.693913i −0.873668 0.486523i \(-0.838265\pi\)
0.978258 0.207390i \(-0.0664970\pi\)
\(440\) 4.23207 0.201756
\(441\) −11.0109 + 17.8819i −0.524327 + 0.851517i
\(442\) 5.36345 0.255113
\(443\) −2.52434 + 16.7479i −0.119935 + 0.795718i 0.845292 + 0.534305i \(0.179427\pi\)
−0.965227 + 0.261413i \(0.915811\pi\)
\(444\) 6.97404 10.8328i 0.330973 0.514100i
\(445\) 4.73385 + 1.46020i 0.224406 + 0.0692201i
\(446\) −17.0896 + 11.6515i −0.809215 + 0.551714i
\(447\) 29.5509 9.97686i 1.39771 0.471889i
\(448\) 3.18075 8.99864i 0.150276 0.425146i
\(449\) 1.77406 3.68387i 0.0837230 0.173853i −0.854904 0.518786i \(-0.826384\pi\)
0.938627 + 0.344933i \(0.112098\pi\)
\(450\) 18.3772 + 13.1307i 0.866309 + 0.618986i
\(451\) 5.08067 + 10.5501i 0.239239 + 0.496786i
\(452\) 1.76165 11.6878i 0.0828609 0.549746i
\(453\) 12.7225 10.7073i 0.597754 0.503071i
\(454\) −28.1293 + 11.0399i −1.32017 + 0.518129i
\(455\) −4.85552 0.197064i −0.227630 0.00923851i
\(456\) 9.06425 + 4.91890i 0.424473 + 0.230349i
\(457\) −12.8259 8.74454i −0.599970 0.409052i 0.224895 0.974383i \(-0.427796\pi\)
−0.824864 + 0.565331i \(0.808749\pi\)
\(458\) −7.84760 + 34.3826i −0.366694 + 1.60659i
\(459\) 2.15171 5.55423i 0.100433 0.259249i
\(460\) 3.91421i 0.182501i
\(461\) −10.2007 + 3.14649i −0.475092 + 0.146547i −0.523048 0.852303i \(-0.675205\pi\)
0.0479564 + 0.998849i \(0.484729\pi\)
\(462\) 4.81810 + 22.5789i 0.224159 + 1.05047i
\(463\) −12.0500 3.71692i −0.560009 0.172740i 0.00181228 0.999998i \(-0.499423\pi\)
−0.561822 + 0.827258i \(0.689899\pi\)
\(464\) 1.81631 5.88832i 0.0843199 0.273358i
\(465\) 6.15448 0.162518i 0.285407 0.00753660i
\(466\) −6.64586 + 16.9334i −0.307864 + 0.784424i
\(467\) −3.30402 14.4759i −0.152892 0.669863i −0.992036 0.125954i \(-0.959801\pi\)
0.839144 0.543909i \(-0.183056\pi\)
\(468\) −5.95588 0.131046i −0.275311 0.00605758i
\(469\) −12.9862 + 0.444775i −0.599647 + 0.0205378i
\(470\) 1.49117 + 4.83427i 0.0687827 + 0.222988i
\(471\) −35.8922 4.44440i −1.65382 0.204787i
\(472\) −17.8773 10.3215i −0.822870 0.475084i
\(473\) 3.06804 3.30656i 0.141069 0.152036i
\(474\) −35.7722 + 12.0773i −1.64307 + 0.554727i
\(475\) 11.8743 + 4.66031i 0.544830 + 0.213830i
\(476\) 2.11267 0.0723587i 0.0968342 0.00331656i
\(477\) 4.12358 0.529046i 0.188806 0.0242233i
\(478\) −5.01587 + 21.9760i −0.229421 + 1.00516i
\(479\) −21.7454 3.27759i −0.993572 0.149757i −0.367919 0.929858i \(-0.619930\pi\)
−0.625654 + 0.780101i \(0.715168\pi\)
\(480\) −0.830441 + 4.13921i −0.0379043 + 0.188928i
\(481\) −4.53159 30.0652i −0.206623 1.37085i
\(482\) 28.0665 19.1354i 1.27839 0.871595i
\(483\) −39.0397 + 8.33068i −1.77637 + 0.379059i
\(484\) −0.914977 0.623821i −0.0415899 0.0283555i
\(485\) 3.59535 7.46583i 0.163257 0.339006i
\(486\) −9.77071 + 23.6623i −0.443208 + 1.07334i
\(487\) 19.2653 + 9.27770i 0.872996 + 0.420413i 0.816062 0.577965i \(-0.196153\pi\)
0.0569347 + 0.998378i \(0.481867\pi\)
\(488\) 6.58095 + 0.991919i 0.297906 + 0.0449020i
\(489\) −28.0611 + 11.8773i −1.26897 + 0.537109i
\(490\) −7.41097 0.0468890i −0.334794 0.00211823i
\(491\) 0.995052 + 0.574494i 0.0449061 + 0.0259265i 0.522285 0.852771i \(-0.325080\pi\)
−0.477379 + 0.878698i \(0.658413\pi\)
\(492\) −4.46389 + 1.14362i −0.201248 + 0.0515585i
\(493\) −1.43515 + 0.107549i −0.0646357 + 0.00484378i
\(494\) −12.6925 + 2.89698i −0.571062 + 0.130341i
\(495\) 2.04562 + 5.56941i 0.0919439 + 0.250326i
\(496\) −11.7417 24.3819i −0.527219 1.09478i
\(497\) 12.5603 + 12.6400i 0.563406 + 0.566982i
\(498\) −14.1809 9.12956i −0.635462 0.409105i
\(499\) 15.8045 2.38214i 0.707506 0.106639i 0.214574 0.976708i \(-0.431164\pi\)
0.492931 + 0.870068i \(0.335925\pi\)
\(500\) −0.321838 + 4.29463i −0.0143930 + 0.192062i
\(501\) 16.2058 + 16.5663i 0.724022 + 0.740127i
\(502\) 2.71906 + 8.81498i 0.121358 + 0.393432i
\(503\) −23.3181 + 29.2400i −1.03970 + 1.30375i −0.0882016 + 0.996103i \(0.528112\pi\)
−0.951502 + 0.307644i \(0.900459\pi\)
\(504\) 16.9833 0.207841i 0.756498 0.00925797i
\(505\) −6.11688 7.67033i −0.272198 0.341325i
\(506\) −24.7220 + 36.2606i −1.09903 + 1.61198i
\(507\) 6.47090 5.44592i 0.287383 0.241862i
\(508\) −2.43843 + 4.22349i −0.108188 + 0.187387i
\(509\) 10.7031 18.5383i 0.474405 0.821694i −0.525165 0.851000i \(-0.675997\pi\)
0.999570 + 0.0293065i \(0.00932989\pi\)
\(510\) 2.06962 0.368062i 0.0916444 0.0162980i
\(511\) −2.25130 0.795765i −0.0995914 0.0352026i
\(512\) −2.38751 + 0.544934i −0.105514 + 0.0240829i
\(513\) −2.09196 + 14.3062i −0.0923621 + 0.631633i
\(514\) −18.3067 + 14.5991i −0.807476 + 0.643941i
\(515\) 8.41675 + 3.30333i 0.370886 + 0.145562i
\(516\) 1.03829 + 1.43971i 0.0457082 + 0.0633798i
\(517\) 4.32081 14.0077i 0.190029 0.616058i
\(518\) −8.47646 45.5882i −0.372434 2.00303i
\(519\) 0.595515 0.501187i 0.0261402 0.0219997i
\(520\) 1.96516 + 3.40377i 0.0861782 + 0.149265i
\(521\) 25.8835 1.13398 0.566988 0.823726i \(-0.308108\pi\)
0.566988 + 0.823726i \(0.308108\pi\)
\(522\) 6.17678 0.326442i 0.270350 0.0142880i
\(523\) 3.92027 + 8.14053i 0.171422 + 0.355961i 0.968925 0.247353i \(-0.0795609\pi\)
−0.797504 + 0.603314i \(0.793847\pi\)
\(524\) 4.47697 11.4071i 0.195577 0.498322i
\(525\) 20.8159 2.83660i 0.908481 0.123799i
\(526\) −17.4197 44.3847i −0.759535 1.93526i
\(527\) −4.29895 + 4.63316i −0.187265 + 0.201824i
\(528\) 18.6429 18.2372i 0.811329 0.793674i
\(529\) −43.6924 29.7890i −1.89967 1.29517i
\(530\) 0.914774 + 1.14709i 0.0397353 + 0.0498264i
\(531\) 4.94184 28.5155i 0.214457 1.23747i
\(532\) −4.96051 + 1.31236i −0.215065 + 0.0568980i
\(533\) −6.12603 + 8.98523i −0.265348 + 0.389194i
\(534\) 19.4360 10.0003i 0.841078 0.432755i
\(535\) −1.41807 + 4.59727i −0.0613085 + 0.198757i
\(536\) 5.92009 + 8.68317i 0.255709 + 0.375056i
\(537\) 12.3440 + 3.45353i 0.532683 + 0.149031i
\(538\) −4.26417 + 2.46192i −0.183842 + 0.106141i
\(539\) 17.6661 + 12.2090i 0.760931 + 0.525877i
\(540\) −2.30722 + 0.358149i −0.0992869 + 0.0154123i
\(541\) −5.60954 + 7.03414i −0.241173 + 0.302421i −0.887656 0.460507i \(-0.847668\pi\)
0.646483 + 0.762928i \(0.276239\pi\)
\(542\) −2.02716 27.0505i −0.0870739 1.16192i
\(543\) −8.22229 + 5.92974i −0.352852 + 0.254469i
\(544\) −2.44142 3.58090i −0.104675 0.153530i
\(545\) 0.523032 6.97937i 0.0224042 0.298964i
\(546\) −15.9224 + 14.3596i −0.681418 + 0.614535i
\(547\) 1.73071 + 23.0947i 0.0739996 + 0.987457i 0.903399 + 0.428801i \(0.141064\pi\)
−0.829399 + 0.558656i \(0.811317\pi\)
\(548\) 2.96712 2.36620i 0.126749 0.101079i
\(549\) 1.87562 + 9.13998i 0.0800494 + 0.390085i
\(550\) 14.4003 18.0575i 0.614033 0.769973i
\(551\) 3.33815 1.02968i 0.142210 0.0438660i
\(552\) 22.5771 + 23.0793i 0.960944 + 0.982320i
\(553\) −16.5078 + 30.9966i −0.701984 + 1.31811i
\(554\) −2.69708 17.8940i −0.114588 0.760242i
\(555\) −3.81182 11.2904i −0.161803 0.479251i
\(556\) 0.490601 + 1.59049i 0.0208061 + 0.0674517i
\(557\) 38.9043i 1.64843i −0.566279 0.824214i \(-0.691618\pi\)
0.566279 0.824214i \(-0.308382\pi\)
\(558\) 18.9100 19.5016i 0.800523 0.825568i
\(559\) 4.08404 + 0.932156i 0.172737 + 0.0394260i
\(560\) 4.43159 + 7.10261i 0.187269 + 0.300140i
\(561\) −5.55565 2.49700i −0.234560 0.105424i
\(562\) 10.6788 + 3.29399i 0.450460 + 0.138949i
\(563\) 19.7503 2.97688i 0.832376 0.125460i 0.280990 0.959711i \(-0.409337\pi\)
0.551386 + 0.834250i \(0.314099\pi\)
\(564\) 5.07019 + 2.75144i 0.213493 + 0.115857i
\(565\) −7.43605 8.01416i −0.312837 0.337158i
\(566\) −11.1756 48.9633i −0.469743 2.05808i
\(567\) 8.48262 + 22.2496i 0.356237 + 0.934396i
\(568\) 3.20701 14.0508i 0.134563 0.589559i
\(569\) −17.9286 + 10.3511i −0.751607 + 0.433941i −0.826274 0.563268i \(-0.809544\pi\)
0.0746672 + 0.997209i \(0.476211\pi\)
\(570\) −4.69891 + 1.98888i −0.196816 + 0.0833050i
\(571\) −13.4653 12.4940i −0.563506 0.522857i 0.346172 0.938171i \(-0.387481\pi\)
−0.909678 + 0.415314i \(0.863672\pi\)
\(572\) −0.455248 + 6.07486i −0.0190349 + 0.254003i
\(573\) 43.0661 1.13722i 1.79911 0.0475082i
\(574\) −8.86812 + 14.0149i −0.370148 + 0.584971i
\(575\) 31.2220 + 24.8987i 1.30205 + 1.03835i
\(576\) −5.89817 9.07363i −0.245757 0.378068i
\(577\) 0.228360 + 0.182111i 0.00950674 + 0.00758137i 0.628232 0.778026i \(-0.283779\pi\)
−0.618725 + 0.785608i \(0.712350\pi\)
\(578\) 14.5113 21.2842i 0.603591 0.885305i
\(579\) 1.43340 0.878821i 0.0595699 0.0365226i
\(580\) 0.317789 + 0.466111i 0.0131955 + 0.0193542i
\(581\) −15.4230 + 2.86768i −0.639854 + 0.118971i
\(582\) −11.6952 34.6405i −0.484780 1.43589i
\(583\) −0.317699 4.23940i −0.0131578 0.175578i
\(584\) 0.429739 + 1.88281i 0.0177827 + 0.0779112i
\(585\) −3.52947 + 4.23141i −0.145926 + 0.174947i
\(586\) 1.91036 + 1.52346i 0.0789160 + 0.0629334i
\(587\) 10.9257 + 18.9238i 0.450951 + 0.781070i 0.998445 0.0557393i \(-0.0177516\pi\)
−0.547494 + 0.836809i \(0.684418\pi\)
\(588\) −6.07815 + 5.87109i −0.250659 + 0.242120i
\(589\) 7.67083 13.2863i 0.316071 0.547451i
\(590\) 9.50742 3.73139i 0.391414 0.153619i
\(591\) 0.829278 17.1206i 0.0341119 0.704249i
\(592\) −38.3972 + 35.6274i −1.57811 + 1.46428i
\(593\) −30.3591 14.6202i −1.24670 0.600379i −0.310074 0.950712i \(-0.600354\pi\)
−0.936625 + 0.350334i \(0.886068\pi\)
\(594\) 23.6358 + 11.2545i 0.969787 + 0.461778i
\(595\) 1.16603 1.56950i 0.0478027 0.0643433i
\(596\) 12.5160 0.937945i 0.512676 0.0384197i
\(597\) 21.0751 38.8359i 0.862547 1.58945i
\(598\) −40.6433 3.04580i −1.66203 0.124552i
\(599\) −33.4613 + 13.1326i −1.36719 + 0.536584i −0.931575 0.363548i \(-0.881565\pi\)
−0.435618 + 0.900132i \(0.643470\pi\)
\(600\) −10.9409 13.0001i −0.446660 0.530726i
\(601\) 0.188182 1.24851i 0.00767611 0.0509277i −0.984665 0.174457i \(-0.944183\pi\)
0.992341 + 0.123529i \(0.0394212\pi\)
\(602\) 6.27348 + 1.20758i 0.255688 + 0.0492171i
\(603\) −8.56551 + 11.9880i −0.348815 + 0.488187i
\(604\) 6.02884 2.90334i 0.245310 0.118135i
\(605\) −0.978773 + 0.301912i −0.0397928 + 0.0122744i
\(606\) −42.9588 5.31943i −1.74508 0.216087i
\(607\) 16.6121 + 9.59099i 0.674263 + 0.389286i 0.797690 0.603068i \(-0.206055\pi\)
−0.123427 + 0.992354i \(0.539388\pi\)
\(608\) 7.71172 + 7.15543i 0.312752 + 0.290191i
\(609\) 3.97257 4.16161i 0.160977 0.168637i
\(610\) −2.41380 + 2.23968i −0.0977320 + 0.0906821i
\(611\) 13.2725 3.02936i 0.536947 0.122555i
\(612\) 1.39349 1.95027i 0.0563284 0.0788350i
\(613\) −23.6281 29.6287i −0.954332 1.19669i −0.980397 0.197034i \(-0.936869\pi\)
0.0260652 0.999660i \(-0.491702\pi\)
\(614\) −27.8916 + 25.8796i −1.12561 + 1.04442i
\(615\) −1.74728 + 3.88757i −0.0704570 + 0.156762i
\(616\) 0.704322 17.3540i 0.0283779 0.699212i
\(617\) 0.464454 0.500562i 0.0186982 0.0201519i −0.723634 0.690184i \(-0.757529\pi\)
0.742332 + 0.670033i \(0.233720\pi\)
\(618\) 36.7387 15.5502i 1.47785 0.625521i
\(619\) 32.7010 18.8799i 1.31436 0.758848i 0.331548 0.943438i \(-0.392429\pi\)
0.982816 + 0.184590i \(0.0590957\pi\)
\(620\) 2.41539 + 0.551296i 0.0970042 + 0.0221406i
\(621\) −19.4594 + 40.8671i −0.780880 + 1.63994i
\(622\) 3.54336 2.82574i 0.142076 0.113302i
\(623\) 6.77551 19.1686i 0.271455 0.767972i
\(624\) 23.3247 + 6.52564i 0.933735 + 0.261235i
\(625\) −13.8829 12.8815i −0.555317 0.515258i
\(626\) −15.8361 40.3498i −0.632940 1.61270i
\(627\) 14.4960 + 2.90831i 0.578916 + 0.116147i
\(628\) −13.5477 5.31708i −0.540613 0.212175i
\(629\) 11.0220 + 5.30790i 0.439475 + 0.211640i
\(630\) −5.15866 + 6.63368i −0.205526 + 0.264292i
\(631\) 28.9070 13.9209i 1.15077 0.554181i 0.241504 0.970400i \(-0.422359\pi\)
0.909265 + 0.416219i \(0.136645\pi\)
\(632\) 28.3239 2.12259i 1.12667 0.0844320i
\(633\) −6.98413 + 0.709218i −0.277594 + 0.0281889i
\(634\) 32.0916 21.8797i 1.27452 0.868954i
\(635\) 1.64799 + 4.19900i 0.0653983 + 0.166632i
\(636\) 1.66030 + 0.205589i 0.0658352 + 0.00815214i
\(637\) −1.61616 + 19.8777i −0.0640345 + 0.787582i
\(638\) 6.32512i 0.250414i
\(639\) 20.0410 2.57121i 0.792811 0.101716i
\(640\) 3.77221 7.83307i 0.149110 0.309629i
\(641\) 8.19264 + 8.82956i 0.323590 + 0.348747i 0.873805 0.486276i \(-0.161645\pi\)
−0.550216 + 0.835023i \(0.685455\pi\)
\(642\) 9.71175 + 18.8752i 0.383292 + 0.744945i
\(643\) 5.65827 + 0.424029i 0.223140 + 0.0167221i 0.185831 0.982582i \(-0.440502\pi\)
0.0373093 + 0.999304i \(0.488121\pi\)
\(644\) −16.0506 0.651422i −0.632480 0.0256696i
\(645\) 1.63990 + 0.0794322i 0.0645709 + 0.00312764i
\(646\) 1.91373 4.87610i 0.0752946 0.191848i
\(647\) −36.6568 + 17.6530i −1.44113 + 0.694010i −0.981030 0.193858i \(-0.937900\pi\)
−0.460098 + 0.887868i \(0.652186\pi\)
\(648\) 11.5382 15.4197i 0.453264 0.605745i
\(649\) −28.8523 6.58536i −1.13255 0.258498i
\(650\) 21.2100 + 3.19690i 0.831927 + 0.125393i
\(651\) 0.357839 25.2640i 0.0140248 0.990176i
\(652\) −12.1250 + 1.82756i −0.474853 + 0.0715726i
\(653\) 29.1773 + 2.18653i 1.14179 + 0.0855657i 0.632169 0.774831i \(-0.282165\pi\)
0.509625 + 0.860396i \(0.329784\pi\)
\(654\) −19.8845 23.6269i −0.777544 0.923885i
\(655\) −5.66721 9.81589i −0.221436 0.383539i
\(656\) 18.7347 0.731467
\(657\) −2.27006 + 1.47561i −0.0885633 + 0.0575692i
\(658\) 20.0715 5.31015i 0.782469 0.207011i
\(659\) −7.26180 7.82636i −0.282879 0.304872i 0.575588 0.817740i \(-0.304773\pi\)
−0.858467 + 0.512869i \(0.828583\pi\)
\(660\) 0.241212 + 2.37538i 0.00938918 + 0.0924614i
\(661\) −3.25387 21.5880i −0.126561 0.839677i −0.958558 0.284897i \(-0.908041\pi\)
0.831997 0.554780i \(-0.187198\pi\)
\(662\) 2.12002 + 14.0654i 0.0823970 + 0.546668i
\(663\) −0.571484 5.62778i −0.0221946 0.218565i
\(664\) 8.62988 + 9.30079i 0.334904 + 0.360941i
\(665\) −1.91165 + 4.34400i −0.0741306 + 0.168453i
\(666\) −46.8580 23.8493i −1.81571 0.924142i
\(667\) 10.9364 0.423458
\(668\) 4.66291 + 8.07639i 0.180413 + 0.312485i
\(669\) 14.0466 + 16.6903i 0.543074 + 0.645285i
\(670\) −5.18510 0.388570i −0.200318 0.0150118i
\(671\) 9.43464 1.42204i 0.364220 0.0548974i
\(672\) 16.8350 + 4.09417i 0.649424 + 0.157936i
\(673\) −36.3042 5.47198i −1.39942 0.210929i −0.594399 0.804170i \(-0.702610\pi\)
−0.805025 + 0.593241i \(0.797848\pi\)
\(674\) −2.53444 0.578469i −0.0976229 0.0222818i
\(675\) 11.8197 20.6820i 0.454939 0.796049i
\(676\) 3.06639 1.47669i 0.117938 0.0567959i
\(677\) 12.4366 31.6878i 0.477976 1.21786i −0.465093 0.885262i \(-0.653979\pi\)
0.943068 0.332600i \(-0.107926\pi\)
\(678\) −48.1803 2.33373i −1.85035 0.0896262i
\(679\) −30.0159 15.9856i −1.15191 0.613469i
\(680\) −1.57696 0.118177i −0.0604736 0.00453187i
\(681\) 14.5812 + 28.3392i 0.558753 + 1.08596i
\(682\) −18.8938 20.3626i −0.723480 0.779726i
\(683\) −0.751972 + 1.56149i −0.0287734 + 0.0597486i −0.914860 0.403771i \(-0.867699\pi\)
0.886087 + 0.463519i \(0.153414\pi\)
\(684\) −2.24425 + 5.36794i −0.0858111 + 0.205248i
\(685\) 3.51023i 0.134119i
\(686\) −1.42564 + 30.3815i −0.0544313 + 1.15997i
\(687\) 36.9132 + 4.57083i 1.40833 + 0.174388i
\(688\) −2.63657 6.71787i −0.100518 0.256116i
\(689\) 3.26214 2.22409i 0.124278 0.0847310i
\(690\) −15.8922 + 1.61381i −0.605008 + 0.0614367i
\(691\) −33.1077 + 2.48108i −1.25948 + 0.0943848i −0.687682 0.726012i \(-0.741372\pi\)
−0.571795 + 0.820396i \(0.693753\pi\)
\(692\) 0.282199 0.135900i 0.0107276 0.00516613i
\(693\) 23.1783 7.46137i 0.880470 0.283434i
\(694\) 6.59140 + 3.17425i 0.250206 + 0.120493i
\(695\) 1.43308 + 0.562444i 0.0543599 + 0.0213347i
\(696\) −4.56229 0.915323i −0.172933 0.0346952i
\(697\) −1.59856 4.07307i −0.0605499 0.154279i
\(698\) −26.9234 24.9812i −1.01906 0.945554i
\(699\) 18.4760 + 5.16911i 0.698828 + 0.195514i
\(700\) 8.39780 + 0.973118i 0.317407 + 0.0367804i
\(701\) 23.9075 19.0656i 0.902974 0.720098i −0.0575359 0.998343i \(-0.518324\pi\)
0.960510 + 0.278246i \(0.0897529\pi\)
\(702\) 1.92352 + 24.2358i 0.0725986 + 0.914720i
\(703\) −28.9502 6.60769i −1.09188 0.249214i
\(704\) −9.58397 + 5.53331i −0.361210 + 0.208544i
\(705\) 4.91363 2.07976i 0.185058 0.0783284i
\(706\) −1.88324 + 2.02965i −0.0708767 + 0.0763869i
\(707\) −32.4709 + 23.8063i −1.22119 + 0.895328i
\(708\) 4.77429 10.6225i 0.179429 0.399216i
\(709\) −1.00517 + 0.932665i −0.0377501 + 0.0350270i −0.698822 0.715295i \(-0.746292\pi\)
0.661072 + 0.750322i \(0.270102\pi\)
\(710\) 4.44589 + 5.57497i 0.166851 + 0.209225i
\(711\) 16.4841 + 36.2483i 0.618200 + 1.35942i
\(712\) −16.0311 + 3.65899i −0.600791 + 0.137127i
\(713\) 35.2077 32.6680i 1.31854 1.22343i
\(714\) −1.16483 8.54792i −0.0435928 0.319898i
\(715\) 4.13048 + 3.83253i 0.154471 + 0.143328i
\(716\) 4.46706 + 2.57906i 0.166942 + 0.0963840i
\(717\) 23.5935 + 2.92149i 0.881114 + 0.109105i
\(718\) 36.6003 11.2897i 1.36591 0.421328i
\(719\) −1.24045 + 0.597369i −0.0462610 + 0.0222781i −0.456871 0.889533i \(-0.651030\pi\)
0.410610 + 0.911811i \(0.365316\pi\)
\(720\) 9.44822 + 0.917446i 0.352115 + 0.0341912i
\(721\) 14.9464 33.9639i 0.556632 1.26488i
\(722\) 2.75549 18.2815i 0.102549 0.680366i
\(723\) −23.0690 27.4108i −0.857945 1.01942i
\(724\) −3.79743 + 1.49038i −0.141131 + 0.0553897i
\(725\) −5.73947 0.430113i −0.213158 0.0159740i
\(726\) −2.15556 + 3.97214i −0.0800004 + 0.147420i
\(727\) −43.5887 + 3.26652i −1.61662 + 0.121149i −0.852073 0.523424i \(-0.824655\pi\)
−0.764543 + 0.644572i \(0.777035\pi\)
\(728\) 14.2845 7.49186i 0.529419 0.277667i
\(729\) 25.8695 + 7.73098i 0.958130 + 0.286333i
\(730\) −0.860883 0.414579i −0.0318627 0.0153443i
\(731\) −1.23555 + 1.14642i −0.0456984 + 0.0424020i
\(732\) −0.181654 + 3.75029i −0.00671412 + 0.138615i
\(733\) −41.2380 + 16.1847i −1.52316 + 0.597796i −0.971661 0.236379i \(-0.924039\pi\)
−0.551499 + 0.834176i \(0.685944\pi\)
\(734\) 11.1739 19.3537i 0.412435 0.714358i
\(735\) 0.740451 + 7.78120i 0.0273119 + 0.287014i
\(736\) 16.4671 + 28.5219i 0.606986 + 1.05133i
\(737\) 11.7794 + 9.39375i 0.433900 + 0.346023i
\(738\) 6.48372 + 17.6525i 0.238669 + 0.649799i
\(739\) 11.2783 + 49.4134i 0.414878 + 1.81770i 0.560249 + 0.828324i \(0.310705\pi\)
−0.145371 + 0.989377i \(0.546438\pi\)
\(740\) −0.358357 4.78194i −0.0131735 0.175788i
\(741\) 4.39215 + 13.0093i 0.161350 + 0.477910i
\(742\) 4.85599 3.56021i 0.178269 0.130699i
\(743\) −4.73435 6.94401i −0.173686 0.254751i 0.729518 0.683961i \(-0.239744\pi\)
−0.903205 + 0.429210i \(0.858792\pi\)
\(744\) −17.4217 + 10.6813i −0.638710 + 0.391595i
\(745\) 6.53960 9.59182i 0.239592 0.351417i
\(746\) 16.8257 + 13.4181i 0.616033 + 0.491270i
\(747\) −8.06849 + 15.8526i −0.295211 + 0.580015i
\(748\) −1.91634 1.52823i −0.0700684 0.0558777i
\(749\) 18.6155 + 6.58002i 0.680196 + 0.240429i
\(750\) 17.5695 0.463948i 0.641547 0.0169410i
\(751\) 0.435000 5.80467i 0.0158734 0.211816i −0.983627 0.180215i \(-0.942321\pi\)
0.999501 0.0316004i \(-0.0100604\pi\)
\(752\) −17.1924 15.9522i −0.626943 0.581718i
\(753\) 8.95968 3.79231i 0.326509 0.138200i
\(754\) 5.08716 2.93707i 0.185264 0.106962i
\(755\) 1.37724 6.03407i 0.0501228 0.219602i
\(756\) 1.08464 + 9.52056i 0.0394481 + 0.346259i
\(757\) −0.319428 1.39950i −0.0116098 0.0508659i 0.968791 0.247878i \(-0.0797333\pi\)
−0.980401 + 0.197012i \(0.936876\pi\)
\(758\) −11.7076 12.6178i −0.425241 0.458301i
\(759\) 40.6818 + 22.0768i 1.47665 + 0.801337i
\(760\) 3.79567 0.572105i 0.137683 0.0207524i
\(761\) 20.5486 + 6.33842i 0.744888 + 0.229767i 0.643889 0.765119i \(-0.277320\pi\)
0.100999 + 0.994887i \(0.467796\pi\)
\(762\) 18.1533 + 8.15907i 0.657626 + 0.295572i
\(763\) −28.5325 3.30628i −1.03295 0.119695i
\(764\) 16.9017 + 3.85770i 0.611482 + 0.139567i
\(765\) −0.606722 2.13240i −0.0219361 0.0770971i
\(766\) 33.7146i 1.21816i
\(767\) −8.10114 26.2632i −0.292515 0.948311i
\(768\) −8.27316 24.5047i −0.298532 0.884236i
\(769\) 2.06242 + 13.6833i 0.0743727 + 0.493431i 0.994745 + 0.102387i \(0.0326479\pi\)
−0.920372 + 0.391044i \(0.872114\pi\)
\(770\) 6.49567 + 5.62584i 0.234088 + 0.202741i
\(771\) 17.2692 + 17.6534i 0.621937 + 0.635771i
\(772\) 0.646538 0.199431i 0.0232694 0.00717766i
\(773\) −23.7915 +