Properties

Label 441.2.bh.a.335.42
Level $441$
Weight $2$
Character 441.335
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $4$

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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 335.42
Character \(\chi\) \(=\) 441.335
Dual form 441.2.bh.a.104.42

$q$-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})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 15 q^{2} - 14 q^{3} - 57 q^{4} - 21 q^{5} + 14 q^{6} - 5 q^{7} - 20 q^{9} + O(q^{10}) \) \( 648 q - 15 q^{2} - 14 q^{3} - 57 q^{4} - 21 q^{5} + 14 q^{6} - 5 q^{7} - 20 q^{9} - 28 q^{10} - 15 q^{11} + 21 q^{12} - 7 q^{13} - 114 q^{14} - 10 q^{15} + 39 q^{16} - 18 q^{18} - 21 q^{20} + 10 q^{21} + 3 q^{22} + 30 q^{23} - 14 q^{24} + 41 q^{25} + 7 q^{27} - 20 q^{28} + 75 q^{29} - 70 q^{30} - 39 q^{32} - 14 q^{33} - 7 q^{34} - 128 q^{36} - 10 q^{37} + 21 q^{38} - 36 q^{39} - 7 q^{40} - 21 q^{41} + 104 q^{42} + 3 q^{43} - 35 q^{45} - 72 q^{46} - 147 q^{47} - 13 q^{49} - 18 q^{50} + 22 q^{51} - 35 q^{52} - 14 q^{54} - 112 q^{55} - 63 q^{56} - 16 q^{57} + 33 q^{58} - 21 q^{59} - 90 q^{60} - 56 q^{61} - 38 q^{63} + 52 q^{64} + 27 q^{65} - 42 q^{66} - 26 q^{67} - 182 q^{69} - 25 q^{70} + 24 q^{72} - 28 q^{73} + 33 q^{74} - 14 q^{75} + 21 q^{76} + 3 q^{77} + 90 q^{78} - 2 q^{79} + 56 q^{81} - 28 q^{82} - 21 q^{83} + 116 q^{84} + 5 q^{85} - 123 q^{86} - 70 q^{87} - 41 q^{88} - 224 q^{90} - 4 q^{91} - 225 q^{92} + 112 q^{93} - 7 q^{94} - 12 q^{95} - 371 q^{96} + 224 q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{5}{14}\right)\) \(e\left(\frac{1}{6}\right)\)

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 0.891615 + 0.452793i \(0.149572\pi\)
−0.718540 + 0.695485i \(0.755189\pi\)
\(3\) −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 0.438330 0.898814i \(-0.355570\pi\)
−0.676543 + 0.736403i \(0.736523\pi\)
\(6\) −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 0.945655 + 0.325172i \(0.105422\pi\)
−0.807796 + 0.589463i \(0.799340\pi\)
\(12\) 1.13504 0.411234i 0.327657 0.118713i
\(13\) 2.65209 + 1.04087i 0.735559 + 0.288686i 0.703397 0.710797i \(-0.251666\pi\)
0.0321616 + 0.999483i \(0.489761\pi\)
\(14\) 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 0.934529 0.355887i \(-0.115821\pi\)
−0.996395 + 0.0848340i \(0.972964\pi\)
\(18\) 1.20170 + 4.77796i 0.283244 + 1.12618i
\(19\) 2.78250i 0.638350i 0.947696 + 0.319175i \(0.103406\pi\)
−0.947696 + 0.319175i \(0.896594\pi\)
\(20\) 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 0.667671 + 0.744456i \(0.267291\pi\)
−0.132289 + 0.991211i \(0.542233\pi\)
\(24\) −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 −0.914700 0.404134i \(-0.867573\pi\)
0.983417 + 0.181357i \(0.0580490\pi\)
\(30\) −0.714781 + 1.68873i −0.130501 + 0.308319i
\(31\) 4.77494 2.75681i 0.857604 0.495138i −0.00560541 0.999984i \(-0.501784\pi\)
0.863209 + 0.504847i \(0.168451\pi\)
\(32\) −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 0.663239 + 0.748408i \(0.269181\pi\)
−0.272836 + 0.962061i \(0.587962\pi\)
\(38\) −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 0.291447 0.956587i \(-0.405863\pi\)
−0.783984 + 0.620781i \(0.786816\pi\)
\(42\) −7.04376 2.64997i −1.08688 0.408900i
\(43\) 1.21486 0.828275i 0.185264 0.126311i −0.467137 0.884185i \(-0.654714\pi\)
0.652401 + 0.757874i \(0.273762\pi\)
\(44\) −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 0.204908 0.978781i \(-0.434310\pi\)
0.484306 + 0.874899i \(0.339072\pi\)
\(48\) 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 0.314301 0.949323i \(-0.398230\pi\)
−0.128720 + 0.991681i \(0.541087\pi\)
\(54\) −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 0.822999 + 0.568043i \(0.192299\pi\)
−0.729144 + 0.684360i \(0.760082\pi\)
\(60\) −0.753934 0.193153i −0.0973325 0.0249360i
\(61\) 0.916733 2.97197i 0.117376 0.380522i −0.877752 0.479115i \(-0.840958\pi\)
0.995128 + 0.0985924i \(0.0314340\pi\)
\(62\) 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 0.676136 0.736777i \(-0.263653\pi\)
−0.976135 + 0.217163i \(0.930320\pi\)
\(68\) 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 0.593612 0.804752i \(-0.297702\pi\)
0.185657 + 0.982615i \(0.440559\pi\)
\(72\) 3.33131 + 5.48757i 0.392598 + 0.646716i
\(73\) −0.705605 0.562701i −0.0825848 0.0658592i 0.581327 0.813670i \(-0.302534\pi\)
−0.663912 + 0.747811i \(0.731105\pi\)
\(74\) −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 −0.202709 0.979239i \(-0.564975\pi\)
0.949400 0.314068i \(-0.101692\pi\)
\(80\) 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 0.761323 0.648372i \(-0.224550\pi\)
−0.999095 + 0.0425409i \(0.986455\pi\)
\(84\) 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 −0.967981 0.251023i \(-0.919233\pi\)
0.460126 + 0.887854i \(0.347804\pi\)
\(90\) 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 −0.186238 0.982505i \(-0.559630\pi\)
−0.943993 + 0.329965i \(0.892963\pi\)
\(98\) 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 −0.594870 0.803822i \(-0.702796\pi\)
0.708029 0.706184i \(-0.249585\pi\)
\(102\) −2.97408 + 1.33671i −0.294478 + 0.132354i
\(103\) −7.90066 + 11.5881i −0.778475 + 1.14181i 0.208036 + 0.978121i \(0.433293\pi\)
−0.986511 + 0.163693i \(0.947659\pi\)
\(104\) 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 0.863534 0.504290i \(-0.168246\pi\)
−0.299492 + 0.954099i \(0.596817\pi\)
\(108\) 3.26993 1.55702i 0.314649 0.149825i
\(109\) −6.76887 8.48790i −0.648341 0.812993i 0.343678 0.939088i \(-0.388327\pi\)
−0.992018 + 0.126094i \(0.959756\pi\)
\(110\) 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 −0.477511 0.878626i \(-0.658461\pi\)
0.715276 0.698842i \(-0.246301\pi\)
\(114\) 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 0.995839 + 0.0911297i \(0.0290478\pi\)
−0.857680 + 0.514183i \(0.828095\pi\)
\(128\) −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 −0.695999 0.718043i \(-0.745038\pi\)
0.581206 0.813756i \(-0.302581\pi\)
\(132\) 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 0.672553 0.740049i \(-0.265198\pi\)
−0.934603 + 0.355692i \(0.884245\pi\)
\(138\) 21.7780 11.8183i 1.85387 1.00604i
\(139\) −1.34521 + 1.97306i −0.114099 + 0.167353i −0.879040 0.476747i \(-0.841816\pi\)
0.764941 + 0.644100i \(0.222768\pi\)
\(140\) 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 −0.439934 0.898030i \(-0.644998\pi\)
−0.933310 + 0.359071i \(0.883093\pi\)
\(150\) −10.9644 + 7.05880i −0.895241 + 0.576348i
\(151\) −7.03764 6.52997i −0.572715 0.531402i 0.339772 0.940508i \(-0.389650\pi\)
−0.912487 + 0.409106i \(0.865841\pi\)
\(152\) −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 0.789577 0.613651i \(-0.210300\pi\)
0.872218 + 0.489117i \(0.162681\pi\)
\(158\) 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 0.935219 0.354069i \(-0.115202\pi\)
0.306277 + 0.951942i \(0.400916\pi\)
\(164\) 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 −0.961427 0.275061i \(-0.911302\pi\)
0.202445 + 0.979294i \(0.435111\pi\)
\(168\) −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 0.667551 0.744564i \(-0.267343\pi\)
−0.692596 + 0.721326i \(0.743533\pi\)
\(174\) −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 −0.483476 0.875358i \(-0.660626\pi\)
−0.0557932 + 0.998442i \(0.517769\pi\)
\(180\) 1.32051 + 0.270982i 0.0984249 + 0.0201978i
\(181\) 4.57595 + 3.64920i 0.340127 + 0.271243i 0.778625 0.627490i \(-0.215918\pi\)
−0.438497 + 0.898733i \(0.644489\pi\)
\(182\) 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 −0.864758 0.502188i \(-0.832528\pi\)
−0.929947 + 0.367694i \(0.880147\pi\)
\(192\) 3.65477 5.06778i 0.263760 0.365735i
\(193\) −0.802055 0.546832i −0.0577332 0.0393618i 0.534110 0.845415i \(-0.320647\pi\)
−0.591843 + 0.806053i \(0.701599\pi\)
\(194\) 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 \(-0.885319\pi\)
0.935798 0.352537i \(-0.114681\pi\)
\(198\) −13.9445 + 5.82997i −0.990992 + 0.414318i
\(199\) −11.0687 22.9844i −0.784638 1.62932i −0.777125 0.629346i \(-0.783323\pi\)
−0.00751350 0.999972i \(-0.502392\pi\)
\(200\) 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 0.285537 0.958368i \(-0.407828\pi\)
−0.00963195 + 0.999954i \(0.503066\pi\)
\(212\) −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 −0.951513 0.307609i \(-0.900471\pi\)
0.377856 + 0.925864i \(0.376662\pi\)
\(224\) −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 0.380494 + 0.924783i \(0.375754\pi\)
−0.991133 + 0.132874i \(0.957579\pi\)
\(228\) 1.14426 + 3.15824i 0.0757806 + 0.209160i
\(229\) −21.4146 + 1.60480i −1.41512 + 0.106048i −0.760217 0.649669i \(-0.774907\pi\)
−0.654898 + 0.755717i \(0.727288\pi\)
\(230\) 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 −0.561092 0.827754i \(-0.689618\pi\)
−0.146377 + 0.989229i \(0.546761\pi\)
\(234\) −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 −0.509644 0.860386i \(-0.670223\pi\)
−0.375717 + 0.926734i \(0.622604\pi\)
\(240\) −5.47417 + 0.265154i −0.353356 + 0.0171156i
\(241\) 14.0690 15.1627i 0.906261 0.976717i −0.0935605 0.995614i \(-0.529825\pi\)
0.999821 + 0.0188966i \(0.00601534\pi\)
\(242\) 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 0.267291 0.963616i \(-0.413871\pi\)
−0.586732 + 0.809781i \(0.699586\pi\)
\(252\) −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 −0.935203 0.354113i \(-0.884783\pi\)
0.283235 + 0.959050i \(0.408592\pi\)
\(258\) −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 0.998106 + 0.0615222i \(0.0195955\pi\)
0.552333 + 0.833624i \(0.313738\pi\)
\(264\) 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 −0.835547 0.549419i \(-0.814849\pi\)
0.721570 + 0.692341i \(0.243421\pi\)
\(270\) −1.64467 + 5.24973i −0.100091 + 0.319489i
\(271\) 16.1036 + 3.67555i 0.978227 + 0.223274i 0.681604 0.731721i \(-0.261283\pi\)
0.296622 + 0.954995i \(0.404140\pi\)
\(272\) 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 0.594465 0.804122i \(-0.297364\pi\)
0.0381921 + 0.999270i \(0.487840\pi\)
\(278\) −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 −0.998499 0.0547656i \(-0.982559\pi\)
0.937996 0.346645i \(-0.112679\pi\)
\(282\) −4.62998 12.7791i −0.275711 0.760983i
\(283\) 28.4674 + 11.1726i 1.69221 + 0.664145i 0.998429 0.0560369i \(-0.0178465\pi\)
0.693785 + 0.720182i \(0.255942\pi\)
\(284\) −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 0.843477 0.537166i \(-0.180505\pi\)
−0.886937 + 0.461889i \(0.847172\pi\)
\(294\) −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 −0.984683 0.174353i \(-0.944217\pi\)
−0.0491310 + 0.998792i \(0.515645\pi\)
\(308\) −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 −0.620730 0.784024i \(-0.713164\pi\)
0.735444 + 0.677585i \(0.236973\pi\)
\(312\) −1.29764 10.4795i −0.0734642 0.593284i
\(313\) 22.8582 + 13.1972i 1.29202 + 0.745948i 0.979012 0.203803i \(-0.0653301\pi\)
0.313008 + 0.949751i \(0.398663\pi\)
\(314\) 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 −0.0962516 0.995357i \(-0.530685\pi\)
0.999767 + 0.0215994i \(0.00687583\pi\)
\(318\) 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 0.0588200 0.998269i \(-0.481266\pi\)
−0.513745 + 0.857943i \(0.671742\pi\)
\(332\) 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 0.999498 0.0316666i \(-0.0100815\pi\)
−0.993055 + 0.117655i \(0.962462\pi\)
\(338\) 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 0.913472 0.406901i \(-0.133391\pi\)
−0.983962 + 0.178380i \(0.942914\pi\)
\(348\) −0.0733280 1.51387i −0.00393079 0.0811522i
\(349\) 12.5982 + 18.4782i 0.674368 + 0.989116i 0.999062 + 0.0432971i \(0.0137862\pi\)
−0.324694 + 0.945819i \(0.605261\pi\)
\(350\) 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 −0.599824 0.800132i \(-0.704763\pi\)
0.525682 + 0.850681i \(0.323810\pi\)
\(354\) 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 −0.443071 0.896486i \(-0.646111\pi\)
0.977152 0.212543i \(-0.0681746\pi\)
\(360\) 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 −0.0109084 0.999941i \(-0.503472\pi\)
0.672136 + 0.740428i \(0.265377\pi\)
\(368\) −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 0.645032 0.764156i \(-0.276844\pi\)
−0.984294 + 0.176536i \(0.943511\pi\)
\(374\) 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 0.920809 0.390013i \(-0.127529\pi\)
−0.585134 + 0.810937i \(0.698958\pi\)
\(380\) −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 0.645540 0.763726i \(-0.276632\pi\)
0.391749 + 0.920072i \(0.371870\pi\)
\(384\) 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 −0.239440 0.970911i \(-0.576964\pi\)
−0.381472 + 0.924380i \(0.624583\pi\)
\(390\) −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 −0.953448 0.301558i \(-0.902493\pi\)
0.358698 0.933454i \(-0.383221\pi\)
\(398\) 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 −0.807227 0.590241i \(-0.799033\pi\)
0.945341 0.326084i \(-0.105729\pi\)
\(402\) −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 0.548066 0.836435i \(-0.315364\pi\)
−0.875053 + 0.484026i \(0.839174\pi\)
\(410\) −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 −0.805149 0.593072i \(-0.797915\pi\)
−0.331156 + 0.943576i \(0.607439\pi\)
\(420\) −1.48947 + 1.42181i −0.0726788 + 0.0693773i
\(421\) 28.3105 + 8.73262i 1.37977 + 0.425602i 0.893835 0.448395i \(-0.148004\pi\)
0.485932 + 0.873997i \(0.338480\pi\)
\(422\) 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 −0.167677 0.985842i \(-0.553627\pi\)
0.875307 0.483567i \(-0.160659\pi\)
\(432\) 18.7717 17.2645i 0.903154 0.830637i
\(433\) −0.0617456 0.128216i −0.00296731 0.00616167i 0.899480 0.436962i \(-0.143946\pi\)
−0.902447 + 0.430800i \(0.858231\pi\)
\(434\) 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 0.978258 + 0.207390i \(0.0664970\pi\)
−0.873668 + 0.486523i \(0.838265\pi\)
\(440\) 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 −0.965227 0.261413i \(-0.915811\pi\)
0.845292 0.534305i \(-0.179427\pi\)
\(444\) 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 0.938627 0.344933i \(-0.112098\pi\)
−0.854904 + 0.518786i \(0.826384\pi\)
\(450\) 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 −0.824864 0.565331i \(-0.808749\pi\)
0.224895 + 0.974383i \(0.427796\pi\)
\(458\) −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 0.0479564 0.998849i \(-0.484729\pi\)
−0.523048 + 0.852303i \(0.675205\pi\)
\(462\) 4.81810 22.5789i 0.224159 1.05047i
\(463\) −12.0500 + 3.71692i −0.560009 + 0.172740i −0.561822 0.827258i \(-0.689899\pi\)
0.00181228 + 0.999998i \(0.499423\pi\)
\(464\) 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 0.839144 + 0.543909i \(0.183056\pi\)
−0.992036 + 0.125954i \(0.959801\pi\)
\(468\) −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 −0.625654 0.780101i \(-0.715168\pi\)
−0.367919 + 0.929858i \(0.619930\pi\)
\(480\) −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 0.0569347 0.998378i \(-0.481867\pi\)
0.816062 + 0.577965i \(0.196153\pi\)
\(488\) 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 −0.477379 0.878698i \(-0.658413\pi\)
0.522285 + 0.852771i \(0.325080\pi\)
\(492\) −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 0.492931 0.870068i \(-0.335925\pi\)
0.214574 + 0.976708i \(0.431164\pi\)
\(500\) −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 −0.951502 0.307644i \(-0.900459\pi\)
−0.0882016 0.996103i \(-0.528112\pi\)
\(504\) 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 0.999570 0.0293065i \(-0.00932989\pi\)
−0.525165 + 0.851000i \(0.675997\pi\)
\(510\) 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 −0.797504 0.603314i \(-0.793847\pi\)
0.968925 + 0.247353i \(0.0795609\pi\)
\(524\) 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 0.646483 0.762928i \(-0.276239\pi\)
−0.887656 + 0.460507i \(0.847668\pi\)
\(542\) −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 −0.829399 0.558656i \(-0.811317\pi\)
0.903399 0.428801i \(-0.141064\pi\)
\(548\) 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 \(0.308382\pi\)
−0.566279 + 0.824214i \(0.691618\pi\)
\(558\) 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 0.551386 0.834250i \(-0.314099\pi\)
0.280990 + 0.959711i \(0.409337\pi\)
\(564\) 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 0.0746672 0.997209i \(-0.476211\pi\)
−0.826274 + 0.563268i \(0.809544\pi\)
\(570\) −4.69891 1.98888i −0.196816 0.0833050i
\(571\) −13.4653 + 12.4940i −0.563506 + 0.522857i −0.909678 0.415314i \(-0.863672\pi\)
0.346172 + 0.938171i \(0.387481\pi\)
\(572\) −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 −0.618725 0.785608i \(-0.712350\pi\)
0.628232 + 0.778026i \(0.283779\pi\)
\(578\) 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 −0.547494 0.836809i \(-0.684418\pi\)
0.998445 + 0.0557393i \(0.0177516\pi\)
\(588\) −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 −0.936625 0.350334i \(-0.886068\pi\)
−0.310074 + 0.950712i \(0.600354\pi\)
\(594\) 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 −0.435618 0.900132i \(-0.643470\pi\)
−0.931575 + 0.363548i \(0.881565\pi\)
\(600\) −10.9409 + 13.0001i −0.446660 + 0.530726i
\(601\) 0.188182 + 1.24851i 0.00767611 + 0.0509277i 0.992341 0.123529i \(-0.0394212\pi\)
−0.984665 + 0.174457i \(0.944183\pi\)
\(602\) 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 −0.123427 0.992354i \(-0.539388\pi\)
0.797690 + 0.603068i \(0.206055\pi\)
\(608\) 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 0.0260652 + 0.999660i \(0.491702\pi\)
−0.980397 + 0.197034i \(0.936869\pi\)
\(614\) −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 0.742332 0.670033i \(-0.233720\pi\)
−0.723634 + 0.690184i \(0.757529\pi\)
\(618\) 36.7387 + 15.5502i 1.47785 + 0.625521i
\(619\) 32.7010 + 18.8799i 1.31436 + 0.758848i 0.982816 0.184590i \(-0.0590957\pi\)
0.331548 + 0.943438i \(0.392429\pi\)
\(620\) 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 0.909265 0.416219i \(-0.136645\pi\)
0.241504 + 0.970400i \(0.422359\pi\)
\(632\) 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 −0.550216 0.835023i \(-0.685455\pi\)
0.873805 + 0.486276i \(0.161645\pi\)
\(642\) 9.71175 18.8752i 0.383292 0.744945i
\(643\) 5.65827 0.424029i 0.223140 0.0167221i 0.0373093 0.999304i \(-0.488121\pi\)
0.185831 + 0.982582i \(0.440502\pi\)
\(644\) −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 −0.460098 0.887868i \(-0.652186\pi\)
−0.981030 + 0.193858i \(0.937900\pi\)
\(648\) 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 0.509625 0.860396i \(-0.329784\pi\)
0.632169 + 0.774831i \(0.282165\pi\)
\(654\) −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 −0.858467 0.512869i \(-0.828583\pi\)
0.575588 + 0.817740i \(0.304773\pi\)
\(660\) 0.241212 2.37538i 0.00938918 0.0924614i
\(661\) −3.25387 + 21.5880i −0.126561 + 0.839677i 0.831997 + 0.554780i \(0.187198\pi\)
−0.958558 + 0.284897i \(0.908041\pi\)
\(662\) 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 −0.805025 0.593241i \(-0.797848\pi\)
−0.594399 + 0.804170i \(0.702610\pi\)
\(674\) −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 0.943068 + 0.332600i \(0.107926\pi\)
−0.465093 + 0.885262i \(0.653979\pi\)
\(678\) −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 0.886087 0.463519i \(-0.153414\pi\)
−0.914860 + 0.403771i \(0.867699\pi\)
\(684\) −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 −0.571795 0.820396i \(-0.693753\pi\)
−0.687682 + 0.726012i \(0.741372\pi\)
\(692\) 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 0.960510 0.278246i \(-0.0897529\pi\)
−0.0575359 + 0.998343i \(0.518324\pi\)
\(702\) 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 0.661072 0.750322i \(-0.270102\pi\)
−0.698822 + 0.715295i \(0.746292\pi\)
\(710\) 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 0.410610 0.911811i \(-0.365316\pi\)
−0.456871 + 0.889533i \(0.651030\pi\)
\(720\) 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 −0.764543 0.644572i \(-0.777035\pi\)
−0.852073 + 0.523424i \(0.824655\pi\)
\(728\) 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 −0.551499 0.834176i \(-0.685944\pi\)
−0.971661 + 0.236379i \(0.924039\pi\)
\(734\) 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 −0.145371 0.989377i \(-0.546438\pi\)
0.560249 0.828324i \(-0.310705\pi\)
\(740\) −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 −0.903205 0.429210i \(-0.858792\pi\)
0.729518 + 0.683961i \(0.239744\pi\)
\(744\) −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 0.999501 + 0.0316004i \(0.0100604\pi\)
−0.983627 + 0.180215i \(0.942321\pi\)
\(752\) −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 −0.980401 0.197012i \(-0.936876\pi\)
0.968791 + 0.247878i \(0.0797333\pi\)
\(758\) −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 0.100999 0.994887i \(-0.467796\pi\)
0.643889 + 0.765119i \(0.277320\pi\)
\(762\) 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 −0.920372 0.391044i \(-0.872114\pi\)
0.994745 0.102387i \(-0.0326479\pi\)
\(770\) 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