Properties

Label 114.2.i.c.61.1
Level $114$
Weight $2$
Character 114.61
Analytic conductor $0.910$
Analytic rank $0$
Dimension $6$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 114 = 2 \cdot 3 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 114.i (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.910294583043\)
Analytic rank: \(0\)
Dimension: \(6\)
Coefficient field: \(\Q(\zeta_{18})\)
Defining polynomial: \(x^{6} - x^{3} + 1\)
Coefficient ring: \(\Z[a_1, a_2]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 61.1
Root \(0.939693 + 0.342020i\) of defining polynomial
Character \(\chi\) \(=\) 114.61
Dual form 114.2.i.c.43.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.939693 - 0.342020i) q^{2} +(-0.173648 - 0.984808i) q^{3} +(0.766044 + 0.642788i) q^{4} +(-0.0923963 + 0.0775297i) q^{5} +(-0.173648 + 0.984808i) q^{6} +(2.14543 - 3.71599i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(-0.939693 + 0.342020i) q^{9} +O(q^{10})\) \(q+(-0.939693 - 0.342020i) q^{2} +(-0.173648 - 0.984808i) q^{3} +(0.766044 + 0.642788i) q^{4} +(-0.0923963 + 0.0775297i) q^{5} +(-0.173648 + 0.984808i) q^{6} +(2.14543 - 3.71599i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(-0.939693 + 0.342020i) q^{9} +(0.113341 - 0.0412527i) q^{10} +(-1.28699 - 2.22913i) q^{11} +(0.500000 - 0.866025i) q^{12} +(0.141559 - 0.802823i) q^{13} +(-3.28699 + 2.75811i) q^{14} +(0.0923963 + 0.0775297i) q^{15} +(0.173648 + 0.984808i) q^{16} +(0.439693 + 0.160035i) q^{17} +1.00000 q^{18} +(3.16637 + 2.99568i) q^{19} -0.120615 q^{20} +(-4.03209 - 1.46756i) q^{21} +(0.446967 + 2.53487i) q^{22} +(4.25490 + 3.57029i) q^{23} +(-0.766044 + 0.642788i) q^{24} +(-0.865715 + 4.90971i) q^{25} +(-0.407604 + 0.705990i) q^{26} +(0.500000 + 0.866025i) q^{27} +(4.03209 - 1.46756i) q^{28} +(-2.20574 + 0.802823i) q^{29} +(-0.0603074 - 0.104455i) q^{30} +(-2.67365 + 4.63089i) q^{31} +(0.173648 - 0.984808i) q^{32} +(-1.97178 + 1.65452i) q^{33} +(-0.358441 - 0.300767i) q^{34} +(0.0898700 + 0.509678i) q^{35} +(-0.939693 - 0.342020i) q^{36} -8.51754 q^{37} +(-1.95084 - 3.89798i) q^{38} -0.815207 q^{39} +(0.113341 + 0.0412527i) q^{40} +(0.666374 + 3.77920i) q^{41} +(3.28699 + 2.75811i) q^{42} +(7.14930 - 5.99898i) q^{43} +(0.446967 - 2.53487i) q^{44} +(0.0603074 - 0.104455i) q^{45} +(-2.77719 - 4.81023i) q^{46} +(8.90420 - 3.24086i) q^{47} +(0.939693 - 0.342020i) q^{48} +(-5.70574 - 9.88263i) q^{49} +(2.49273 - 4.31753i) q^{50} +(0.0812519 - 0.460802i) q^{51} +(0.624485 - 0.524005i) q^{52} +(9.77379 + 8.20118i) q^{53} +(-0.173648 - 0.984808i) q^{54} +(0.291737 + 0.106183i) q^{55} -4.29086 q^{56} +(2.40033 - 3.63846i) q^{57} +2.34730 q^{58} +(-14.1420 - 5.14728i) q^{59} +(0.0209445 + 0.118782i) q^{60} +(-1.31521 - 1.10359i) q^{61} +(4.09627 - 3.43718i) q^{62} +(-0.745100 + 4.22567i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(0.0491630 + 0.0851529i) q^{65} +(2.41875 - 0.880352i) q^{66} +(-10.7652 + 3.91820i) q^{67} +(0.233956 + 0.405223i) q^{68} +(2.77719 - 4.81023i) q^{69} +(0.0898700 - 0.509678i) q^{70} +(10.2135 - 8.57013i) q^{71} +(0.766044 + 0.642788i) q^{72} +(0.396459 + 2.24843i) q^{73} +(8.00387 + 2.91317i) q^{74} +4.98545 q^{75} +(0.500000 + 4.33013i) q^{76} -11.0446 q^{77} +(0.766044 + 0.278817i) q^{78} +(0.843426 + 4.78331i) q^{79} +(-0.0923963 - 0.0775297i) q^{80} +(0.766044 - 0.642788i) q^{81} +(0.666374 - 3.77920i) q^{82} +(-1.62449 + 2.81369i) q^{83} +(-2.14543 - 3.71599i) q^{84} +(-0.0530334 + 0.0193026i) q^{85} +(-8.76991 + 3.19199i) q^{86} +(1.17365 + 2.03282i) q^{87} +(-1.28699 + 2.22913i) q^{88} +(0.595800 - 3.37895i) q^{89} +(-0.0923963 + 0.0775297i) q^{90} +(-2.67958 - 2.24843i) q^{91} +(0.964508 + 5.46999i) q^{92} +(5.02481 + 1.82888i) q^{93} -9.47565 q^{94} +(-0.524815 - 0.0313013i) q^{95} -1.00000 q^{96} +(-2.91400 - 1.06061i) q^{97} +(1.98158 + 11.2381i) q^{98} +(1.97178 + 1.65452i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6q + 3q^{5} - 3q^{7} - 3q^{8} + O(q^{10}) \) \( 6q + 3q^{5} - 3q^{7} - 3q^{8} - 6q^{10} + 3q^{12} + 9q^{13} - 12q^{14} - 3q^{15} - 3q^{17} + 6q^{18} - 12q^{20} - 15q^{21} + 15q^{22} + 27q^{23} - 15q^{25} - 6q^{26} + 3q^{27} + 15q^{28} - 3q^{29} - 6q^{30} - 15q^{31} + 3q^{33} + 6q^{34} + 12q^{35} - 6q^{37} - 12q^{39} - 6q^{40} - 15q^{41} + 12q^{42} + 3q^{43} + 15q^{44} + 6q^{45} - 6q^{46} + 15q^{47} - 24q^{49} - 3q^{50} + 3q^{51} - 9q^{52} + 6q^{53} + 27q^{55} + 6q^{56} + 12q^{58} - 27q^{59} - 3q^{60} - 15q^{61} - 3q^{62} - 3q^{63} - 3q^{64} + 12q^{65} + 12q^{66} - 3q^{67} + 6q^{68} + 6q^{69} + 12q^{70} + 3q^{71} + 12q^{73} + 24q^{74} - 6q^{75} + 3q^{76} - 42q^{77} + 27q^{79} + 3q^{80} - 15q^{82} + 3q^{83} + 3q^{84} + 12q^{85} - 24q^{86} + 6q^{87} + 42q^{89} + 3q^{90} - 42q^{91} - 27q^{92} + 3q^{93} - 18q^{94} + 24q^{95} - 6q^{96} + 18q^{97} - 3q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/114\mathbb{Z}\right)^\times\).

\(n\) \(77\) \(97\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.939693 0.342020i −0.664463 0.241845i
\(3\) −0.173648 0.984808i −0.100256 0.568579i
\(4\) 0.766044 + 0.642788i 0.383022 + 0.321394i
\(5\) −0.0923963 + 0.0775297i −0.0413209 + 0.0346723i −0.663214 0.748430i \(-0.730808\pi\)
0.621893 + 0.783102i \(0.286364\pi\)
\(6\) −0.173648 + 0.984808i −0.0708916 + 0.402046i
\(7\) 2.14543 3.71599i 0.810896 1.40451i −0.101341 0.994852i \(-0.532313\pi\)
0.912238 0.409662i \(-0.134353\pi\)
\(8\) −0.500000 0.866025i −0.176777 0.306186i
\(9\) −0.939693 + 0.342020i −0.313231 + 0.114007i
\(10\) 0.113341 0.0412527i 0.0358415 0.0130452i
\(11\) −1.28699 2.22913i −0.388042 0.672108i 0.604144 0.796875i \(-0.293515\pi\)
−0.992186 + 0.124767i \(0.960182\pi\)
\(12\) 0.500000 0.866025i 0.144338 0.250000i
\(13\) 0.141559 0.802823i 0.0392615 0.222663i −0.958864 0.283866i \(-0.908383\pi\)
0.998125 + 0.0612035i \(0.0194939\pi\)
\(14\) −3.28699 + 2.75811i −0.878485 + 0.737136i
\(15\) 0.0923963 + 0.0775297i 0.0238566 + 0.0200181i
\(16\) 0.173648 + 0.984808i 0.0434120 + 0.246202i
\(17\) 0.439693 + 0.160035i 0.106641 + 0.0388142i 0.394790 0.918772i \(-0.370817\pi\)
−0.288149 + 0.957586i \(0.593040\pi\)
\(18\) 1.00000 0.235702
\(19\) 3.16637 + 2.99568i 0.726416 + 0.687255i
\(20\) −0.120615 −0.0269703
\(21\) −4.03209 1.46756i −0.879874 0.320248i
\(22\) 0.446967 + 2.53487i 0.0952936 + 0.540437i
\(23\) 4.25490 + 3.57029i 0.887208 + 0.744456i 0.967648 0.252304i \(-0.0811881\pi\)
−0.0804401 + 0.996759i \(0.525633\pi\)
\(24\) −0.766044 + 0.642788i −0.156368 + 0.131208i
\(25\) −0.865715 + 4.90971i −0.173143 + 0.981942i
\(26\) −0.407604 + 0.705990i −0.0799377 + 0.138456i
\(27\) 0.500000 + 0.866025i 0.0962250 + 0.166667i
\(28\) 4.03209 1.46756i 0.761993 0.277343i
\(29\) −2.20574 + 0.802823i −0.409595 + 0.149080i −0.538596 0.842564i \(-0.681045\pi\)
0.129001 + 0.991644i \(0.458823\pi\)
\(30\) −0.0603074 0.104455i −0.0110106 0.0190709i
\(31\) −2.67365 + 4.63089i −0.480201 + 0.831733i −0.999742 0.0227125i \(-0.992770\pi\)
0.519541 + 0.854446i \(0.326103\pi\)
\(32\) 0.173648 0.984808i 0.0306970 0.174091i
\(33\) −1.97178 + 1.65452i −0.343243 + 0.288015i
\(34\) −0.358441 0.300767i −0.0614721 0.0515812i
\(35\) 0.0898700 + 0.509678i 0.0151908 + 0.0861514i
\(36\) −0.939693 0.342020i −0.156615 0.0570034i
\(37\) −8.51754 −1.40028 −0.700138 0.714008i \(-0.746878\pi\)
−0.700138 + 0.714008i \(0.746878\pi\)
\(38\) −1.95084 3.89798i −0.316468 0.632336i
\(39\) −0.815207 −0.130538
\(40\) 0.113341 + 0.0412527i 0.0179208 + 0.00652262i
\(41\) 0.666374 + 3.77920i 0.104070 + 0.590211i 0.991588 + 0.129437i \(0.0413171\pi\)
−0.887517 + 0.460774i \(0.847572\pi\)
\(42\) 3.28699 + 2.75811i 0.507193 + 0.425586i
\(43\) 7.14930 5.99898i 1.09026 0.914835i 0.0935262 0.995617i \(-0.470186\pi\)
0.996732 + 0.0807817i \(0.0257417\pi\)
\(44\) 0.446967 2.53487i 0.0673827 0.382147i
\(45\) 0.0603074 0.104455i 0.00899009 0.0155713i
\(46\) −2.77719 4.81023i −0.409474 0.709230i
\(47\) 8.90420 3.24086i 1.29881 0.472729i 0.402202 0.915551i \(-0.368245\pi\)
0.896609 + 0.442822i \(0.146023\pi\)
\(48\) 0.939693 0.342020i 0.135633 0.0493664i
\(49\) −5.70574 9.88263i −0.815105 1.41180i
\(50\) 2.49273 4.31753i 0.352525 0.610591i
\(51\) 0.0812519 0.460802i 0.0113775 0.0645253i
\(52\) 0.624485 0.524005i 0.0866005 0.0726665i
\(53\) 9.77379 + 8.20118i 1.34253 + 1.12652i 0.980968 + 0.194172i \(0.0622019\pi\)
0.361565 + 0.932347i \(0.382243\pi\)
\(54\) −0.173648 0.984808i −0.0236305 0.134015i
\(55\) 0.291737 + 0.106183i 0.0393378 + 0.0143178i
\(56\) −4.29086 −0.573390
\(57\) 2.40033 3.63846i 0.317931 0.481926i
\(58\) 2.34730 0.308215
\(59\) −14.1420 5.14728i −1.84113 0.670118i −0.989220 0.146439i \(-0.953219\pi\)
−0.851915 0.523680i \(-0.824559\pi\)
\(60\) 0.0209445 + 0.118782i 0.00270393 + 0.0153347i
\(61\) −1.31521 1.10359i −0.168395 0.141300i 0.554696 0.832053i \(-0.312835\pi\)
−0.723091 + 0.690753i \(0.757279\pi\)
\(62\) 4.09627 3.43718i 0.520226 0.436522i
\(63\) −0.745100 + 4.22567i −0.0938738 + 0.532385i
\(64\) −0.500000 + 0.866025i −0.0625000 + 0.108253i
\(65\) 0.0491630 + 0.0851529i 0.00609792 + 0.0105619i
\(66\) 2.41875 0.880352i 0.297727 0.108364i
\(67\) −10.7652 + 3.91820i −1.31517 + 0.478684i −0.901909 0.431926i \(-0.857834\pi\)
−0.413266 + 0.910611i \(0.635612\pi\)
\(68\) 0.233956 + 0.405223i 0.0283713 + 0.0491405i
\(69\) 2.77719 4.81023i 0.334334 0.579084i
\(70\) 0.0898700 0.509678i 0.0107415 0.0609182i
\(71\) 10.2135 8.57013i 1.21212 1.01709i 0.212918 0.977070i \(-0.431703\pi\)
0.999199 0.0400167i \(-0.0127411\pi\)
\(72\) 0.766044 + 0.642788i 0.0902792 + 0.0757532i
\(73\) 0.396459 + 2.24843i 0.0464021 + 0.263159i 0.999179 0.0405117i \(-0.0128988\pi\)
−0.952777 + 0.303671i \(0.901788\pi\)
\(74\) 8.00387 + 2.91317i 0.930431 + 0.338649i
\(75\) 4.98545 0.575670
\(76\) 0.500000 + 4.33013i 0.0573539 + 0.496700i
\(77\) −11.0446 −1.25865
\(78\) 0.766044 + 0.278817i 0.0867375 + 0.0315699i
\(79\) 0.843426 + 4.78331i 0.0948928 + 0.538164i 0.994780 + 0.102042i \(0.0325375\pi\)
−0.899887 + 0.436122i \(0.856351\pi\)
\(80\) −0.0923963 0.0775297i −0.0103302 0.00866808i
\(81\) 0.766044 0.642788i 0.0851160 0.0714208i
\(82\) 0.666374 3.77920i 0.0735887 0.417342i
\(83\) −1.62449 + 2.81369i −0.178310 + 0.308843i −0.941302 0.337566i \(-0.890396\pi\)
0.762992 + 0.646408i \(0.223730\pi\)
\(84\) −2.14543 3.71599i −0.234086 0.405448i
\(85\) −0.0530334 + 0.0193026i −0.00575228 + 0.00209366i
\(86\) −8.76991 + 3.19199i −0.945684 + 0.344201i
\(87\) 1.17365 + 2.03282i 0.125828 + 0.217941i
\(88\) −1.28699 + 2.22913i −0.137193 + 0.237626i
\(89\) 0.595800 3.37895i 0.0631547 0.358168i −0.936811 0.349837i \(-0.886237\pi\)
0.999965 0.00833100i \(-0.00265187\pi\)
\(90\) −0.0923963 + 0.0775297i −0.00973942 + 0.00817235i
\(91\) −2.67958 2.24843i −0.280896 0.235700i
\(92\) 0.964508 + 5.46999i 0.100557 + 0.570286i
\(93\) 5.02481 + 1.82888i 0.521049 + 0.189646i
\(94\) −9.47565 −0.977339
\(95\) −0.524815 0.0313013i −0.0538449 0.00321145i
\(96\) −1.00000 −0.102062
\(97\) −2.91400 1.06061i −0.295872 0.107689i 0.189819 0.981819i \(-0.439210\pi\)
−0.485691 + 0.874130i \(0.661432\pi\)
\(98\) 1.98158 + 11.2381i 0.200170 + 1.13522i
\(99\) 1.97178 + 1.65452i 0.198171 + 0.166286i
\(100\) −3.81908 + 3.20459i −0.381908 + 0.320459i
\(101\) −2.90508 + 16.4755i −0.289066 + 1.63937i 0.401323 + 0.915937i \(0.368550\pi\)
−0.690389 + 0.723438i \(0.742561\pi\)
\(102\) −0.233956 + 0.405223i −0.0231651 + 0.0401230i
\(103\) 5.19846 + 9.00400i 0.512220 + 0.887191i 0.999900 + 0.0141681i \(0.00451001\pi\)
−0.487680 + 0.873023i \(0.662157\pi\)
\(104\) −0.766044 + 0.278817i −0.0751168 + 0.0273403i
\(105\) 0.486329 0.177009i 0.0474609 0.0172744i
\(106\) −6.37939 11.0494i −0.619621 1.07321i
\(107\) 4.55690 7.89279i 0.440533 0.763025i −0.557196 0.830381i \(-0.688123\pi\)
0.997729 + 0.0673560i \(0.0214563\pi\)
\(108\) −0.173648 + 0.984808i −0.0167093 + 0.0947632i
\(109\) 2.93376 2.46172i 0.281004 0.235790i −0.491382 0.870944i \(-0.663508\pi\)
0.772385 + 0.635154i \(0.219064\pi\)
\(110\) −0.237826 0.199560i −0.0226758 0.0190273i
\(111\) 1.47906 + 8.38814i 0.140386 + 0.796167i
\(112\) 4.03209 + 1.46756i 0.380997 + 0.138671i
\(113\) 5.41147 0.509069 0.254534 0.967064i \(-0.418078\pi\)
0.254534 + 0.967064i \(0.418078\pi\)
\(114\) −3.50000 + 2.59808i −0.327805 + 0.243332i
\(115\) −0.669940 −0.0624722
\(116\) −2.20574 0.802823i −0.204798 0.0745402i
\(117\) 0.141559 + 0.802823i 0.0130872 + 0.0742210i
\(118\) 11.5287 + 9.67372i 1.06130 + 0.890538i
\(119\) 1.53802 1.29055i 0.140990 0.118305i
\(120\) 0.0209445 0.118782i 0.00191197 0.0108433i
\(121\) 2.18732 3.78855i 0.198847 0.344413i
\(122\) 0.858441 + 1.48686i 0.0777196 + 0.134614i
\(123\) 3.60607 1.31250i 0.325148 0.118344i
\(124\) −5.02481 + 1.82888i −0.451242 + 0.164239i
\(125\) −0.602196 1.04303i −0.0538621 0.0932919i
\(126\) 2.14543 3.71599i 0.191130 0.331047i
\(127\) 0.736482 4.17680i 0.0653522 0.370631i −0.934539 0.355861i \(-0.884188\pi\)
0.999891 0.0147693i \(-0.00470138\pi\)
\(128\) 0.766044 0.642788i 0.0677094 0.0568149i
\(129\) −7.14930 5.99898i −0.629461 0.528180i
\(130\) −0.0170741 0.0968323i −0.00149750 0.00849275i
\(131\) −19.7738 7.19707i −1.72764 0.628811i −0.729185 0.684316i \(-0.760101\pi\)
−0.998458 + 0.0555055i \(0.982323\pi\)
\(132\) −2.57398 −0.224036
\(133\) 17.9251 5.33921i 1.55431 0.462968i
\(134\) 11.4561 0.989652
\(135\) −0.113341 0.0412527i −0.00975482 0.00355047i
\(136\) −0.0812519 0.460802i −0.00696729 0.0395135i
\(137\) −9.43835 7.91971i −0.806373 0.676627i 0.143367 0.989670i \(-0.454207\pi\)
−0.949739 + 0.313043i \(0.898652\pi\)
\(138\) −4.25490 + 3.57029i −0.362201 + 0.303923i
\(139\) −0.970437 + 5.50362i −0.0823114 + 0.466811i 0.915593 + 0.402106i \(0.131722\pi\)
−0.997904 + 0.0647050i \(0.979389\pi\)
\(140\) −0.258770 + 0.448204i −0.0218701 + 0.0378801i
\(141\) −4.73783 8.20616i −0.398997 0.691083i
\(142\) −12.5287 + 4.56007i −1.05138 + 0.382672i
\(143\) −1.97178 + 0.717670i −0.164889 + 0.0600146i
\(144\) −0.500000 0.866025i −0.0416667 0.0721688i
\(145\) 0.141559 0.245188i 0.0117559 0.0203617i
\(146\) 0.396459 2.24843i 0.0328112 0.186082i
\(147\) −8.74170 + 7.33515i −0.721003 + 0.604993i
\(148\) −6.52481 5.47497i −0.536336 0.450040i
\(149\) 1.92649 + 10.9257i 0.157824 + 0.895065i 0.956158 + 0.292850i \(0.0946038\pi\)
−0.798334 + 0.602215i \(0.794285\pi\)
\(150\) −4.68479 1.70513i −0.382512 0.139223i
\(151\) 12.5963 1.02507 0.512535 0.858666i \(-0.328707\pi\)
0.512535 + 0.858666i \(0.328707\pi\)
\(152\) 1.01114 4.24000i 0.0820146 0.343909i
\(153\) −0.467911 −0.0378284
\(154\) 10.3785 + 3.77747i 0.836324 + 0.304397i
\(155\) −0.111997 0.635164i −0.00899579 0.0510176i
\(156\) −0.624485 0.524005i −0.0499988 0.0419540i
\(157\) −3.04710 + 2.55682i −0.243185 + 0.204057i −0.756231 0.654304i \(-0.772962\pi\)
0.513046 + 0.858361i \(0.328517\pi\)
\(158\) 0.843426 4.78331i 0.0670994 0.380539i
\(159\) 6.37939 11.0494i 0.505918 0.876276i
\(160\) 0.0603074 + 0.104455i 0.00476772 + 0.00825793i
\(161\) 22.3957 8.15138i 1.76503 0.642419i
\(162\) −0.939693 + 0.342020i −0.0738292 + 0.0268716i
\(163\) −9.60014 16.6279i −0.751941 1.30240i −0.946881 0.321584i \(-0.895785\pi\)
0.194940 0.980815i \(-0.437549\pi\)
\(164\) −1.91875 + 3.32337i −0.149829 + 0.259512i
\(165\) 0.0539108 0.305743i 0.00419695 0.0238021i
\(166\) 2.48886 2.08840i 0.193173 0.162091i
\(167\) −11.7777 9.88263i −0.911382 0.764741i 0.0609991 0.998138i \(-0.480571\pi\)
−0.972381 + 0.233397i \(0.925016\pi\)
\(168\) 0.745100 + 4.22567i 0.0574857 + 0.326018i
\(169\) 11.5915 + 4.21897i 0.891655 + 0.324536i
\(170\) 0.0564370 0.00432852
\(171\) −4.00000 1.73205i −0.305888 0.132453i
\(172\) 9.33275 0.711615
\(173\) 6.19594 + 2.25514i 0.471068 + 0.171455i 0.566636 0.823968i \(-0.308244\pi\)
−0.0955679 + 0.995423i \(0.530467\pi\)
\(174\) −0.407604 2.31164i −0.0309004 0.175245i
\(175\) 16.3871 + 13.7504i 1.23875 + 1.03943i
\(176\) 1.97178 1.65452i 0.148629 0.124714i
\(177\) −2.61334 + 14.8210i −0.196431 + 1.11401i
\(178\) −1.71554 + 2.97140i −0.128585 + 0.222716i
\(179\) −0.620615 1.07494i −0.0463869 0.0803445i 0.841900 0.539634i \(-0.181437\pi\)
−0.888287 + 0.459290i \(0.848104\pi\)
\(180\) 0.113341 0.0412527i 0.00844792 0.00307479i
\(181\) −3.78699 + 1.37835i −0.281485 + 0.102452i −0.478905 0.877867i \(-0.658966\pi\)
0.197420 + 0.980319i \(0.436744\pi\)
\(182\) 1.74897 + 3.02931i 0.129642 + 0.224547i
\(183\) −0.858441 + 1.48686i −0.0634578 + 0.109912i
\(184\) 0.964508 5.46999i 0.0711044 0.403253i
\(185\) 0.786989 0.660362i 0.0578606 0.0485508i
\(186\) −4.09627 3.43718i −0.300353 0.252026i
\(187\) −0.209141 1.18610i −0.0152939 0.0867359i
\(188\) 8.90420 + 3.24086i 0.649406 + 0.236364i
\(189\) 4.29086 0.312114
\(190\) 0.482459 + 0.208911i 0.0350013 + 0.0151560i
\(191\) −24.0847 −1.74271 −0.871354 0.490654i \(-0.836758\pi\)
−0.871354 + 0.490654i \(0.836758\pi\)
\(192\) 0.939693 + 0.342020i 0.0678165 + 0.0246832i
\(193\) −1.71213 9.70999i −0.123242 0.698941i −0.982336 0.187123i \(-0.940084\pi\)
0.859094 0.511817i \(-0.171028\pi\)
\(194\) 2.37551 + 1.99329i 0.170552 + 0.143110i
\(195\) 0.0753221 0.0632028i 0.00539393 0.00452604i
\(196\) 1.98158 11.2381i 0.141542 0.802722i
\(197\) 3.22803 5.59110i 0.229987 0.398350i −0.727817 0.685772i \(-0.759465\pi\)
0.957804 + 0.287422i \(0.0927982\pi\)
\(198\) −1.28699 2.22913i −0.0914623 0.158417i
\(199\) −23.2777 + 8.47237i −1.65011 + 0.600591i −0.988763 0.149490i \(-0.952237\pi\)
−0.661346 + 0.750081i \(0.730015\pi\)
\(200\) 4.68479 1.70513i 0.331265 0.120571i
\(201\) 5.72803 + 9.92123i 0.404024 + 0.699790i
\(202\) 8.36484 14.4883i 0.588548 1.01939i
\(203\) −1.74897 + 9.91890i −0.122754 + 0.696171i
\(204\) 0.358441 0.300767i 0.0250959 0.0210579i
\(205\) −0.354570 0.297520i −0.0247643 0.0207797i
\(206\) −1.80541 10.2390i −0.125789 0.713383i
\(207\) −5.21941 1.89971i −0.362774 0.132039i
\(208\) 0.815207 0.0565245
\(209\) 2.60266 10.9137i 0.180030 0.754914i
\(210\) −0.517541 −0.0357137
\(211\) 1.30066 + 0.473401i 0.0895411 + 0.0325903i 0.386402 0.922330i \(-0.373718\pi\)
−0.296861 + 0.954921i \(0.595940\pi\)
\(212\) 2.21554 + 12.5649i 0.152164 + 0.862963i
\(213\) −10.2135 8.57013i −0.699816 0.587215i
\(214\) −6.98158 + 5.85824i −0.477251 + 0.400461i
\(215\) −0.195470 + 1.10857i −0.0133309 + 0.0756036i
\(216\) 0.500000 0.866025i 0.0340207 0.0589256i
\(217\) 11.4722 + 19.8705i 0.778787 + 1.34890i
\(218\) −3.59879 + 1.30985i −0.243741 + 0.0887145i
\(219\) 2.14543 0.780873i 0.144975 0.0527665i
\(220\) 0.155230 + 0.268866i 0.0104656 + 0.0181269i
\(221\) 0.190722 0.330341i 0.0128294 0.0222211i
\(222\) 1.47906 8.38814i 0.0992677 0.562975i
\(223\) 17.0929 14.3426i 1.14462 0.960453i 0.145043 0.989425i \(-0.453668\pi\)
0.999580 + 0.0289729i \(0.00922364\pi\)
\(224\) −3.28699 2.75811i −0.219621 0.184284i
\(225\) −0.865715 4.90971i −0.0577143 0.327314i
\(226\) −5.08512 1.85083i −0.338257 0.123116i
\(227\) −20.7665 −1.37832 −0.689161 0.724608i \(-0.742021\pi\)
−0.689161 + 0.724608i \(0.742021\pi\)
\(228\) 4.17752 1.24432i 0.276663 0.0824073i
\(229\) 5.51754 0.364609 0.182305 0.983242i \(-0.441644\pi\)
0.182305 + 0.983242i \(0.441644\pi\)
\(230\) 0.629538 + 0.229133i 0.0415105 + 0.0151086i
\(231\) 1.91787 + 10.8768i 0.126187 + 0.715640i
\(232\) 1.79813 + 1.50881i 0.118053 + 0.0990584i
\(233\) −11.5569 + 9.69739i −0.757118 + 0.635297i −0.937375 0.348322i \(-0.886752\pi\)
0.180257 + 0.983620i \(0.442307\pi\)
\(234\) 0.141559 0.802823i 0.00925402 0.0524822i
\(235\) −0.571452 + 0.989783i −0.0372774 + 0.0645664i
\(236\) −7.52481 13.0334i −0.489824 0.848400i
\(237\) 4.56418 1.66122i 0.296475 0.107908i
\(238\) −1.88666 + 0.686688i −0.122294 + 0.0445114i
\(239\) 14.4757 + 25.0726i 0.936352 + 1.62181i 0.772205 + 0.635374i \(0.219154\pi\)
0.164147 + 0.986436i \(0.447513\pi\)
\(240\) −0.0603074 + 0.104455i −0.00389282 + 0.00674257i
\(241\) −3.36349 + 19.0753i −0.216662 + 1.22875i 0.661338 + 0.750088i \(0.269989\pi\)
−0.878000 + 0.478661i \(0.841122\pi\)
\(242\) −3.35117 + 2.81196i −0.215421 + 0.180760i
\(243\) −0.766044 0.642788i −0.0491418 0.0412348i
\(244\) −0.298133 1.69080i −0.0190860 0.108242i
\(245\) 1.29339 + 0.470754i 0.0826314 + 0.0300754i
\(246\) −3.83750 −0.244670
\(247\) 2.85323 2.11797i 0.181546 0.134763i
\(248\) 5.34730 0.339554
\(249\) 3.05303 + 1.11121i 0.193478 + 0.0704203i
\(250\) 0.209141 + 1.18610i 0.0132272 + 0.0750153i
\(251\) −3.32635 2.79114i −0.209957 0.176175i 0.531745 0.846905i \(-0.321537\pi\)
−0.741702 + 0.670730i \(0.765981\pi\)
\(252\) −3.28699 + 2.75811i −0.207061 + 0.173745i
\(253\) 2.48262 14.0796i 0.156081 0.885180i
\(254\) −2.12061 + 3.67301i −0.133059 + 0.230465i
\(255\) 0.0282185 + 0.0488759i 0.00176711 + 0.00306073i
\(256\) −0.939693 + 0.342020i −0.0587308 + 0.0213763i
\(257\) −16.6951 + 6.07650i −1.04141 + 0.379042i −0.805414 0.592712i \(-0.798057\pi\)
−0.235995 + 0.971754i \(0.575835\pi\)
\(258\) 4.66637 + 8.08240i 0.290516 + 0.503188i
\(259\) −18.2738 + 31.6511i −1.13548 + 1.96671i
\(260\) −0.0170741 + 0.0968323i −0.00105889 + 0.00600528i
\(261\) 1.79813 1.50881i 0.111302 0.0933932i
\(262\) 16.1197 + 13.5261i 0.995881 + 0.835643i
\(263\) −0.401674 2.27801i −0.0247683 0.140468i 0.969916 0.243440i \(-0.0782759\pi\)
−0.994684 + 0.102972i \(0.967165\pi\)
\(264\) 2.41875 + 0.880352i 0.148864 + 0.0541819i
\(265\) −1.53890 −0.0945336
\(266\) −18.6702 1.11354i −1.14475 0.0682756i
\(267\) −3.43107 −0.209978
\(268\) −10.7652 3.91820i −0.657587 0.239342i
\(269\) −0.489322 2.77509i −0.0298345 0.169200i 0.966250 0.257606i \(-0.0829337\pi\)
−0.996084 + 0.0884063i \(0.971823\pi\)
\(270\) 0.0923963 + 0.0775297i 0.00562306 + 0.00471831i
\(271\) −5.12449 + 4.29995i −0.311290 + 0.261204i −0.785025 0.619464i \(-0.787350\pi\)
0.473735 + 0.880668i \(0.342906\pi\)
\(272\) −0.0812519 + 0.460802i −0.00492662 + 0.0279403i
\(273\) −1.74897 + 3.02931i −0.105852 + 0.183342i
\(274\) 6.16044 + 10.6702i 0.372166 + 0.644611i
\(275\) 12.0586 4.38895i 0.727158 0.264664i
\(276\) 5.21941 1.89971i 0.314171 0.114349i
\(277\) −4.12583 7.14615i −0.247897 0.429370i 0.715045 0.699078i \(-0.246406\pi\)
−0.962942 + 0.269708i \(0.913073\pi\)
\(278\) 2.79426 4.83981i 0.167589 0.290272i
\(279\) 0.928548 5.26606i 0.0555907 0.315271i
\(280\) 0.396459 0.332669i 0.0236930 0.0198808i
\(281\) 21.4008 + 17.9574i 1.27666 + 1.07125i 0.993695 + 0.112120i \(0.0357641\pi\)
0.282970 + 0.959129i \(0.408680\pi\)
\(282\) 1.64543 + 9.33170i 0.0979839 + 0.555694i
\(283\) −2.27972 0.829748i −0.135515 0.0493234i 0.273372 0.961908i \(-0.411861\pi\)
−0.408887 + 0.912585i \(0.634083\pi\)
\(284\) 13.3327 0.791153
\(285\) 0.0603074 + 0.522277i 0.00357230 + 0.0309370i
\(286\) 2.09833 0.124077
\(287\) 15.4731 + 5.63176i 0.913350 + 0.332432i
\(288\) 0.173648 + 0.984808i 0.0102323 + 0.0580304i
\(289\) −12.8550 10.7867i −0.756179 0.634509i
\(290\) −0.216881 + 0.181985i −0.0127357 + 0.0106865i
\(291\) −0.538485 + 3.05390i −0.0315666 + 0.179023i
\(292\) −1.14156 + 1.97724i −0.0668047 + 0.115709i
\(293\) 7.05051 + 12.2118i 0.411895 + 0.713423i 0.995097 0.0989041i \(-0.0315337\pi\)
−0.583202 + 0.812327i \(0.698200\pi\)
\(294\) 10.7233 3.90295i 0.625394 0.227625i
\(295\) 1.70574 0.620838i 0.0993119 0.0361466i
\(296\) 4.25877 + 7.37641i 0.247536 + 0.428745i
\(297\) 1.28699 2.22913i 0.0746787 0.129347i
\(298\) 1.92649 10.9257i 0.111599 0.632907i
\(299\) 3.46863 2.91052i 0.200596 0.168320i
\(300\) 3.81908 + 3.20459i 0.220495 + 0.185017i
\(301\) −6.95383 39.4371i −0.400812 2.27312i
\(302\) −11.8366 4.30818i −0.681121 0.247908i
\(303\) 16.7297 0.961095
\(304\) −2.40033 + 3.63846i −0.137668 + 0.208680i
\(305\) 0.207081 0.0118574
\(306\) 0.439693 + 0.160035i 0.0251356 + 0.00914859i
\(307\) −3.50892 19.9001i −0.200265 1.13576i −0.904719 0.426009i \(-0.859919\pi\)
0.704454 0.709749i \(-0.251192\pi\)
\(308\) −8.46064 7.09932i −0.482090 0.404521i
\(309\) 7.96451 6.68302i 0.453085 0.380183i
\(310\) −0.111997 + 0.635164i −0.00636098 + 0.0360749i
\(311\) −4.80928 + 8.32991i −0.272709 + 0.472346i −0.969555 0.244875i \(-0.921253\pi\)
0.696845 + 0.717221i \(0.254586\pi\)
\(312\) 0.407604 + 0.705990i 0.0230760 + 0.0399688i
\(313\) −23.3871 + 8.51222i −1.32192 + 0.481139i −0.904073 0.427379i \(-0.859437\pi\)
−0.417846 + 0.908518i \(0.637215\pi\)
\(314\) 3.73783 1.36046i 0.210938 0.0767751i
\(315\) −0.258770 0.448204i −0.0145801 0.0252534i
\(316\) −2.42855 + 4.20637i −0.136617 + 0.236627i
\(317\) 2.99778 17.0012i 0.168372 0.954885i −0.777147 0.629319i \(-0.783334\pi\)
0.945519 0.325566i \(-0.105555\pi\)
\(318\) −9.77379 + 8.20118i −0.548087 + 0.459899i
\(319\) 4.62836 + 3.88365i 0.259138 + 0.217443i
\(320\) −0.0209445 0.118782i −0.00117083 0.00664014i
\(321\) −8.56418 3.11711i −0.478006 0.173980i
\(322\) −23.8331 −1.32816
\(323\) 0.912818 + 1.82391i 0.0507906 + 0.101485i
\(324\) 1.00000 0.0555556
\(325\) 3.81908 + 1.39003i 0.211844 + 0.0771050i
\(326\) 3.33409 + 18.9086i 0.184658 + 1.04725i
\(327\) −2.93376 2.46172i −0.162237 0.136133i
\(328\) 2.93969 2.46669i 0.162317 0.136200i
\(329\) 7.06031 40.0410i 0.389247 2.20753i
\(330\) −0.155230 + 0.268866i −0.00854512 + 0.0148006i
\(331\) −4.99525 8.65203i −0.274564 0.475559i 0.695461 0.718564i \(-0.255200\pi\)
−0.970025 + 0.243005i \(0.921867\pi\)
\(332\) −3.05303 + 1.11121i −0.167557 + 0.0609858i
\(333\) 8.00387 2.91317i 0.438609 0.159641i
\(334\) 7.68732 + 13.3148i 0.420631 + 0.728555i
\(335\) 0.690884 1.19665i 0.0377470 0.0653798i
\(336\) 0.745100 4.22567i 0.0406485 0.230529i
\(337\) 5.18139 4.34770i 0.282248 0.236834i −0.490662 0.871350i \(-0.663245\pi\)
0.772910 + 0.634516i \(0.218800\pi\)
\(338\) −9.44949 7.92907i −0.513985 0.431284i
\(339\) −0.939693 5.32926i −0.0510371 0.289446i
\(340\) −0.0530334 0.0193026i −0.00287614 0.00104683i
\(341\) 13.7638 0.745353
\(342\) 3.16637 + 2.99568i 0.171218 + 0.161988i
\(343\) −18.9290 −1.02207
\(344\) −8.76991 3.19199i −0.472842 0.172100i
\(345\) 0.116334 + 0.659762i 0.00626320 + 0.0355204i
\(346\) −5.05097 4.23827i −0.271542 0.227851i
\(347\) 18.8457 15.8134i 1.01169 0.848909i 0.0231297 0.999732i \(-0.492637\pi\)
0.988561 + 0.150823i \(0.0481925\pi\)
\(348\) −0.407604 + 2.31164i −0.0218499 + 0.123917i
\(349\) 3.41740 5.91912i 0.182929 0.316843i −0.759947 0.649985i \(-0.774775\pi\)
0.942877 + 0.333141i \(0.108109\pi\)
\(350\) −10.6959 18.5259i −0.571722 0.990251i
\(351\) 0.766044 0.278817i 0.0408884 0.0148822i
\(352\) −2.41875 + 0.880352i −0.128920 + 0.0469229i
\(353\) 2.54189 + 4.40268i 0.135291 + 0.234331i 0.925709 0.378237i \(-0.123470\pi\)
−0.790418 + 0.612568i \(0.790136\pi\)
\(354\) 7.52481 13.0334i 0.399939 0.692715i
\(355\) −0.279248 + 1.58370i −0.0148210 + 0.0840538i
\(356\) 2.62836 2.20545i 0.139303 0.116889i
\(357\) −1.53802 1.29055i −0.0814006 0.0683032i
\(358\) 0.215537 + 1.22237i 0.0113915 + 0.0646044i
\(359\) 2.69459 + 0.980752i 0.142215 + 0.0517621i 0.412147 0.911117i \(-0.364779\pi\)
−0.269932 + 0.962879i \(0.587001\pi\)
\(360\) −0.120615 −0.00635696
\(361\) 1.05185 + 18.9709i 0.0553606 + 0.998466i
\(362\) 4.03003 0.211814
\(363\) −4.11081 1.49621i −0.215762 0.0785309i
\(364\) −0.607411 3.44480i −0.0318370 0.180557i
\(365\) −0.210952 0.177009i −0.0110417 0.00926510i
\(366\) 1.31521 1.10359i 0.0687470 0.0576856i
\(367\) 3.84507 21.8065i 0.200711 1.13829i −0.703336 0.710858i \(-0.748307\pi\)
0.904047 0.427433i \(-0.140582\pi\)
\(368\) −2.77719 + 4.81023i −0.144771 + 0.250751i
\(369\) −1.91875 3.32337i −0.0998860 0.173008i
\(370\) −0.965385 + 0.351371i −0.0501880 + 0.0182669i
\(371\) 51.4445 18.7243i 2.67087 0.972115i
\(372\) 2.67365 + 4.63089i 0.138622 + 0.240101i
\(373\) −8.83662 + 15.3055i −0.457543 + 0.792487i −0.998830 0.0483501i \(-0.984604\pi\)
0.541288 + 0.840837i \(0.317937\pi\)
\(374\) −0.209141 + 1.18610i −0.0108144 + 0.0613315i
\(375\) −0.922618 + 0.774169i −0.0476438 + 0.0399779i
\(376\) −7.25877 6.09083i −0.374343 0.314111i
\(377\) 0.332282 + 1.88446i 0.0171134 + 0.0970548i
\(378\) −4.03209 1.46756i −0.207388 0.0754832i
\(379\) −9.75970 −0.501322 −0.250661 0.968075i \(-0.580648\pi\)
−0.250661 + 0.968075i \(0.580648\pi\)
\(380\) −0.381911 0.361323i −0.0195916 0.0185355i
\(381\) −4.24123 −0.217285
\(382\) 22.6322 + 8.23746i 1.15797 + 0.421465i
\(383\) −3.87505 21.9765i −0.198006 1.12295i −0.908073 0.418812i \(-0.862447\pi\)
0.710067 0.704134i \(-0.248665\pi\)
\(384\) −0.766044 0.642788i −0.0390920 0.0328021i
\(385\) 1.02048 0.856282i 0.0520084 0.0436402i
\(386\) −1.71213 + 9.70999i −0.0871453 + 0.494226i
\(387\) −4.66637 + 8.08240i −0.237205 + 0.410851i
\(388\) −1.55051 2.68556i −0.0787151 0.136339i
\(389\) −6.59879 + 2.40176i −0.334572 + 0.121774i −0.503843 0.863795i \(-0.668081\pi\)
0.169271 + 0.985570i \(0.445859\pi\)
\(390\) −0.0923963 + 0.0336295i −0.00467867 + 0.00170290i
\(391\) 1.29948 + 2.25076i 0.0657174 + 0.113826i
\(392\) −5.70574 + 9.88263i −0.288183 + 0.499148i
\(393\) −3.65405 + 20.7231i −0.184322 + 1.04534i
\(394\) −4.94562 + 4.14987i −0.249157 + 0.209067i
\(395\) −0.448778 0.376569i −0.0225805 0.0189472i
\(396\) 0.446967 + 2.53487i 0.0224609 + 0.127382i
\(397\) 18.7738 + 6.83310i 0.942229 + 0.342943i 0.767046 0.641592i \(-0.221726\pi\)
0.175184 + 0.984536i \(0.443948\pi\)
\(398\) 24.7716 1.24169
\(399\) −8.37077 16.7257i −0.419063 0.837331i
\(400\) −4.98545 −0.249273
\(401\) 1.11809 + 0.406951i 0.0558347 + 0.0203222i 0.369787 0.929117i \(-0.379431\pi\)
−0.313952 + 0.949439i \(0.601653\pi\)
\(402\) −1.98932 11.2820i −0.0992184 0.562695i
\(403\) 3.33931 + 2.80201i 0.166343 + 0.139578i
\(404\) −12.8157 + 10.7536i −0.637604 + 0.535013i
\(405\) −0.0209445 + 0.118782i −0.00104074 + 0.00590234i
\(406\) 5.03596 8.72254i 0.249930 0.432892i
\(407\) 10.9620 + 18.9867i 0.543365 + 0.941136i
\(408\) −0.439693 + 0.160035i −0.0217680 + 0.00792291i
\(409\) −8.91622 + 3.24524i −0.440879 + 0.160467i −0.552916 0.833237i \(-0.686485\pi\)
0.112037 + 0.993704i \(0.464263\pi\)
\(410\) 0.231429 + 0.400847i 0.0114295 + 0.0197964i
\(411\) −6.16044 + 10.6702i −0.303872 + 0.526322i
\(412\) −1.80541 + 10.2390i −0.0889460 + 0.504438i
\(413\) −49.4680 + 41.5086i −2.43416 + 2.04250i
\(414\) 4.25490 + 3.57029i 0.209117 + 0.175470i
\(415\) −0.0680482 0.385920i −0.00334035 0.0189441i
\(416\) −0.766044 0.278817i −0.0375584 0.0136701i
\(417\) 5.58853 0.273671
\(418\) −6.17840 + 9.36532i −0.302195 + 0.458073i
\(419\) 4.72638 0.230899 0.115449 0.993313i \(-0.463169\pi\)
0.115449 + 0.993313i \(0.463169\pi\)
\(420\) 0.486329 + 0.177009i 0.0237304 + 0.00863718i
\(421\) 0.240819 + 1.36575i 0.0117368 + 0.0665627i 0.990114 0.140268i \(-0.0447963\pi\)
−0.978377 + 0.206830i \(0.933685\pi\)
\(422\) −1.06031 0.889704i −0.0516150 0.0433101i
\(423\) −7.25877 + 6.09083i −0.352933 + 0.296146i
\(424\) 2.21554 12.5649i 0.107596 0.610207i
\(425\) −1.16637 + 2.02022i −0.0565775 + 0.0979950i
\(426\) 6.66637 + 11.5465i 0.322987 + 0.559430i
\(427\) −6.92262 + 2.51963i −0.335009 + 0.121933i
\(428\) 8.56418 3.11711i 0.413965 0.150671i
\(429\) 1.04916 + 1.81720i 0.0506541 + 0.0877354i
\(430\) 0.562834 0.974856i 0.0271422 0.0470117i
\(431\) 0.470904 2.67063i 0.0226827 0.128640i −0.971364 0.237597i \(-0.923640\pi\)
0.994046 + 0.108958i \(0.0347513\pi\)
\(432\) −0.766044 + 0.642788i −0.0368563 + 0.0309261i
\(433\) −15.5057 13.0108i −0.745155 0.625260i 0.189061 0.981965i \(-0.439455\pi\)
−0.934217 + 0.356706i \(0.883900\pi\)
\(434\) −3.98427 22.5959i −0.191251 1.08464i
\(435\) −0.266044 0.0968323i −0.0127559 0.00464275i
\(436\) 3.82976 0.183412
\(437\) 2.77719 + 24.0512i 0.132851 + 1.15052i
\(438\) −2.28312 −0.109092
\(439\) 17.1027 + 6.22486i 0.816266 + 0.297096i 0.716209 0.697885i \(-0.245876\pi\)
0.100056 + 0.994982i \(0.468098\pi\)
\(440\) −0.0539108 0.305743i −0.00257009 0.0145757i
\(441\) 8.74170 + 7.33515i 0.416271 + 0.349293i
\(442\) −0.292204 + 0.245188i −0.0138987 + 0.0116624i
\(443\) −6.20661 + 35.1995i −0.294885 + 1.67238i 0.372784 + 0.927918i \(0.378403\pi\)
−0.667669 + 0.744458i \(0.732708\pi\)
\(444\) −4.25877 + 7.37641i −0.202112 + 0.350069i
\(445\) 0.206919 + 0.358394i 0.00980891 + 0.0169895i
\(446\) −20.9675 + 7.63155i −0.992840 + 0.361364i
\(447\) 10.4251 3.79444i 0.493092 0.179471i
\(448\) 2.14543 + 3.71599i 0.101362 + 0.175564i
\(449\) 9.49525 16.4463i 0.448109 0.776147i −0.550154 0.835063i \(-0.685431\pi\)
0.998263 + 0.0589161i \(0.0187644\pi\)
\(450\) −0.865715 + 4.90971i −0.0408102 + 0.231446i
\(451\) 7.56670 6.34922i 0.356302 0.298973i
\(452\) 4.14543 + 3.47843i 0.194985 + 0.163612i
\(453\) −2.18732 12.4049i −0.102769 0.582833i
\(454\) 19.5141 + 7.10257i 0.915844 + 0.333340i
\(455\) 0.421903 0.0197791
\(456\) −4.35117 0.259515i −0.203762 0.0121529i
\(457\) 25.9632 1.21451 0.607253 0.794509i \(-0.292272\pi\)
0.607253 + 0.794509i \(0.292272\pi\)
\(458\) −5.18479 1.88711i −0.242269 0.0881789i
\(459\) 0.0812519 + 0.460802i 0.00379251 + 0.0215084i
\(460\) −0.513204 0.430629i −0.0239282 0.0200782i
\(461\) −22.3949 + 18.7915i −1.04303 + 0.875209i −0.992344 0.123506i \(-0.960586\pi\)
−0.0506891 + 0.998714i \(0.516142\pi\)
\(462\) 1.91787 10.8768i 0.0892274 0.506034i
\(463\) 10.5954 18.3518i 0.492410 0.852878i −0.507552 0.861621i \(-0.669450\pi\)
0.999962 + 0.00874269i \(0.00278292\pi\)
\(464\) −1.17365 2.03282i −0.0544852 0.0943712i
\(465\) −0.606067 + 0.220590i −0.0281057 + 0.0102296i
\(466\) 14.1766 5.15988i 0.656720 0.239027i
\(467\) 1.07263 + 1.85786i 0.0496356 + 0.0859713i 0.889776 0.456398i \(-0.150861\pi\)
−0.840140 + 0.542369i \(0.817527\pi\)
\(468\) −0.407604 + 0.705990i −0.0188415 + 0.0326344i
\(469\) −8.53590 + 48.4095i −0.394151 + 2.23534i
\(470\) 0.875515 0.734644i 0.0403845 0.0338866i
\(471\) 3.04710 + 2.55682i 0.140403 + 0.117812i
\(472\) 2.61334 + 14.8210i 0.120289 + 0.682191i
\(473\) −22.5736 8.21611i −1.03793 0.377777i
\(474\) −4.85710 −0.223094
\(475\) −17.4491 + 12.9526i −0.800619 + 0.594305i
\(476\) 2.00774 0.0920246
\(477\) −11.9893 4.36376i −0.548953 0.199803i
\(478\) −5.02734 28.5115i −0.229945 1.30408i
\(479\) −2.60220 2.18350i −0.118897 0.0997668i 0.581400 0.813618i \(-0.302505\pi\)
−0.700298 + 0.713851i \(0.746949\pi\)
\(480\) 0.0923963 0.0775297i 0.00421729 0.00353873i
\(481\) −1.20574 + 6.83807i −0.0549769 + 0.311789i
\(482\) 9.68479 16.7746i 0.441130 0.764060i
\(483\) −11.9165 20.6400i −0.542221 0.939154i
\(484\) 4.11081 1.49621i 0.186855 0.0680097i
\(485\) 0.351471 0.127925i 0.0159595 0.00580878i
\(486\) 0.500000 + 0.866025i 0.0226805 + 0.0392837i
\(487\) −9.89306 + 17.1353i −0.448297 + 0.776473i −0.998275 0.0587056i \(-0.981303\pi\)
0.549978 + 0.835179i \(0.314636\pi\)
\(488\) −0.298133 + 1.69080i −0.0134959 + 0.0765388i
\(489\) −14.7083 + 12.3417i −0.665131 + 0.558111i
\(490\) −1.05438 0.884728i −0.0476319 0.0399679i
\(491\) 4.36618 + 24.7618i 0.197043 + 1.11749i 0.909479 + 0.415750i \(0.136481\pi\)
−0.712436 + 0.701737i \(0.752408\pi\)
\(492\) 3.60607 + 1.31250i 0.162574 + 0.0591721i
\(493\) −1.09833 −0.0494661
\(494\) −3.40554 + 1.01438i −0.153223 + 0.0456392i
\(495\) −0.310460 −0.0139541
\(496\) −5.02481 1.82888i −0.225621 0.0821193i
\(497\) −9.93423 56.3398i −0.445611 2.52719i
\(498\) −2.48886 2.08840i −0.111528 0.0935833i
\(499\) 26.9329 22.5994i 1.20568 1.01169i 0.206232 0.978503i \(-0.433880\pi\)
0.999449 0.0331839i \(-0.0105647\pi\)
\(500\) 0.209141 1.18610i 0.00935305 0.0530438i
\(501\) −7.68732 + 13.3148i −0.343444 + 0.594863i
\(502\) 2.17112 + 3.76049i 0.0969019 + 0.167839i
\(503\) −19.1186 + 6.95859i −0.852454 + 0.310268i −0.731041 0.682334i \(-0.760965\pi\)
−0.121414 + 0.992602i \(0.538743\pi\)
\(504\) 4.03209 1.46756i 0.179604 0.0653703i
\(505\) −1.00892 1.74751i −0.0448965 0.0777630i
\(506\) −7.14842 + 12.3814i −0.317786 + 0.550422i
\(507\) 2.14203 12.1480i 0.0951307 0.539513i
\(508\) 3.24897 2.72621i 0.144150 0.120956i
\(509\) −10.0851 8.46242i −0.447015 0.375090i 0.391312 0.920258i \(-0.372021\pi\)
−0.838327 + 0.545168i \(0.816466\pi\)
\(510\) −0.00980018 0.0555796i −0.000433959 0.00246111i
\(511\) 9.20574 + 3.35061i 0.407238 + 0.148222i
\(512\) 1.00000 0.0441942
\(513\) −1.01114 + 4.24000i −0.0446431 + 0.187201i
\(514\) 17.7665 0.783647
\(515\) −1.17840 0.428901i −0.0519263 0.0188996i
\(516\) −1.62061 9.19096i −0.0713436 0.404610i
\(517\) −18.6839 15.6777i −0.821718 0.689503i
\(518\) 27.9971 23.4923i 1.23012 1.03219i
\(519\) 1.14496 6.49341i 0.0502583 0.285029i
\(520\) 0.0491630 0.0851529i 0.00215594 0.00373420i
\(521\) −10.2456 17.7458i −0.448866 0.777459i 0.549446 0.835529i \(-0.314839\pi\)
−0.998313 + 0.0580697i \(0.981505\pi\)
\(522\) −2.20574 + 0.802823i −0.0965425 + 0.0351386i
\(523\) 40.3312 14.6793i 1.76356 0.641883i 0.763566 0.645730i \(-0.223447\pi\)
0.999993 + 0.00384740i \(0.00122467\pi\)
\(524\) −10.5214 18.2236i −0.459630 0.796102i
\(525\) 10.6959 18.5259i 0.466809 0.808537i
\(526\) −0.401674 + 2.27801i −0.0175138 + 0.0993258i
\(527\) −1.91669 + 1.60829i −0.0834923 + 0.0700583i
\(528\) −1.97178 1.65452i −0.0858108 0.0720038i
\(529\) 1.36333 + 7.73183i 0.0592753 + 0.336167i
\(530\) 1.44609 + 0.526333i 0.0628141 + 0.0228625i
\(531\) 15.0496 0.653098
\(532\) 17.1634 + 7.43199i 0.744129 + 0.322217i
\(533\) 3.12836 0.135504
\(534\) 3.22416 + 1.17350i 0.139523 + 0.0507822i
\(535\) 0.190884 + 1.08256i 0.00825265 + 0.0468031i
\(536\) 8.77584 + 7.36381i 0.379059 + 0.318068i
\(537\) −0.950837 + 0.797847i −0.0410316 + 0.0344296i
\(538\) −0.489322 + 2.77509i −0.0210962 + 0.119642i
\(539\) −14.6864 + 25.4377i −0.632590 + 1.09568i
\(540\) −0.0603074 0.104455i −0.00259522 0.00449505i
\(541\) 13.6976 4.98551i 0.588905 0.214344i −0.0303426 0.999540i \(-0.509660\pi\)
0.619248 + 0.785196i \(0.287438\pi\)
\(542\) 6.28611 2.28796i 0.270012 0.0982762i
\(543\) 2.01501 + 3.49011i 0.0864726 + 0.149775i
\(544\) 0.233956 0.405223i 0.0100308 0.0173738i
\(545\) −0.0802124 + 0.454907i −0.00343592 + 0.0194861i
\(546\) 2.67958 2.24843i 0.114675 0.0962240i
\(547\) 14.2246 + 11.9359i 0.608201 + 0.510341i 0.894070 0.447928i \(-0.147838\pi\)
−0.285869 + 0.958269i \(0.592282\pi\)
\(548\) −2.13950 12.1337i −0.0913949 0.518326i
\(549\) 1.61334 + 0.587208i 0.0688557 + 0.0250614i
\(550\) −12.8324 −0.547177
\(551\) −9.38919 4.06564i −0.399993 0.173202i
\(552\) −5.55438 −0.236410
\(553\) 19.5842 + 7.12808i 0.832807 + 0.303117i
\(554\) 1.43289 + 8.12630i 0.0608775 + 0.345253i
\(555\) −0.786989 0.660362i −0.0334058 0.0280308i
\(556\) −4.28106 + 3.59224i −0.181557 + 0.152345i
\(557\) 2.69816 15.3020i 0.114325 0.648367i −0.872758 0.488154i \(-0.837671\pi\)
0.987082 0.160214i \(-0.0512183\pi\)
\(558\) −2.67365 + 4.63089i −0.113185 + 0.196041i
\(559\) −3.80406 6.58883i −0.160895 0.278678i
\(560\) −0.486329 + 0.177009i −0.0205512 + 0.00748001i
\(561\) −1.13176 + 0.411927i −0.0477829 + 0.0173916i
\(562\) −13.9684 24.1939i −0.589220 1.02056i
\(563\) 6.07785 10.5271i 0.256151 0.443666i −0.709057 0.705151i \(-0.750879\pi\)
0.965207 + 0.261485i \(0.0842123\pi\)
\(564\) 1.64543 9.33170i 0.0692851 0.392935i
\(565\) −0.500000 + 0.419550i −0.0210352 + 0.0176506i
\(566\) 1.85844 + 1.55942i 0.0781161 + 0.0655472i
\(567\) −0.745100 4.22567i −0.0312913 0.177462i
\(568\) −12.5287 4.56007i −0.525692 0.191336i
\(569\) 13.6709 0.573113 0.286556 0.958063i \(-0.407489\pi\)
0.286556 + 0.958063i \(0.407489\pi\)
\(570\) 0.121959 0.511406i 0.00510830 0.0214205i
\(571\) 28.2003 1.18014 0.590072 0.807350i \(-0.299099\pi\)
0.590072 + 0.807350i \(0.299099\pi\)
\(572\) −1.97178 0.717670i −0.0824443 0.0300073i
\(573\) 4.18227 + 23.7188i 0.174717 + 0.990868i
\(574\) −12.6138 10.5842i −0.526490 0.441778i
\(575\) −21.2126 + 17.7995i −0.884627 + 0.742290i
\(576\) 0.173648 0.984808i 0.00723534 0.0410337i
\(577\) −10.1095 + 17.5101i −0.420863 + 0.728956i −0.996024 0.0890843i \(-0.971606\pi\)
0.575161 + 0.818040i \(0.304939\pi\)
\(578\) 8.39053 + 14.5328i 0.349000 + 0.604486i
\(579\) −9.26517 + 3.37225i −0.385047 + 0.140146i
\(580\) 0.266044 0.0968323i 0.0110469 0.00402074i
\(581\) 6.97044 + 12.0732i 0.289182 + 0.500879i
\(582\) 1.55051 2.68556i 0.0642706 0.111320i
\(583\) 5.70274 32.3419i 0.236184 1.33946i
\(584\) 1.74897 1.46756i 0.0723729 0.0607281i
\(585\) −0.0753221 0.0632028i −0.00311419 0.00261311i
\(586\) −2.44862 13.8868i −0.101151 0.573658i
\(587\) 4.89306 + 1.78093i 0.201958 + 0.0735067i 0.441019 0.897498i \(-0.354617\pi\)
−0.239061 + 0.971005i \(0.576839\pi\)
\(588\) −11.4115 −0.470601
\(589\) −22.3384 + 6.65376i −0.920439 + 0.274163i
\(590\) −1.81521 −0.0747309
\(591\) −6.06670 2.20810i −0.249551 0.0908291i
\(592\) −1.47906 8.38814i −0.0607888 0.344750i
\(593\) −33.3573 27.9901i −1.36982 1.14942i −0.972811 0.231602i \(-0.925603\pi\)
−0.397010 0.917814i \(-0.629952\pi\)
\(594\) −1.97178 + 1.65452i −0.0809032 + 0.0678858i
\(595\) −0.0420512 + 0.238484i −0.00172393 + 0.00977690i
\(596\) −5.54710 + 9.60787i −0.227218 + 0.393553i
\(597\) 12.3858 + 21.4528i 0.506916 + 0.878005i
\(598\) −4.25490 + 1.54866i −0.173996 + 0.0633293i
\(599\) 30.7511 11.1925i 1.25646 0.457312i 0.373877 0.927478i \(-0.378028\pi\)
0.882578 + 0.470166i \(0.155806\pi\)
\(600\) −2.49273 4.31753i −0.101765 0.176262i
\(601\) 10.3867 17.9902i 0.423681 0.733836i −0.572616 0.819824i \(-0.694071\pi\)
0.996296 + 0.0859876i \(0.0274045\pi\)
\(602\) −6.95383 + 39.4371i −0.283417 + 1.60734i
\(603\) 8.77584 7.36381i 0.357380 0.299877i
\(604\) 9.64930 + 8.09672i 0.392624 + 0.329451i
\(605\) 0.0916247 + 0.519630i 0.00372508 + 0.0211260i
\(606\) −15.7208 5.72189i −0.638612 0.232436i
\(607\) −23.0419 −0.935241 −0.467621 0.883929i \(-0.654889\pi\)
−0.467621 + 0.883929i \(0.654889\pi\)
\(608\) 3.50000 2.59808i 0.141944 0.105366i
\(609\) 10.0719 0.408135
\(610\) −0.194593 0.0708260i −0.00787883 0.00286766i
\(611\) −1.34137 7.60727i −0.0542659 0.307757i
\(612\) −0.358441 0.300767i −0.0144891 0.0121578i
\(613\) 16.2404 13.6273i 0.655942 0.550400i −0.252926 0.967486i \(-0.581393\pi\)
0.908867 + 0.417085i \(0.136948\pi\)
\(614\) −3.50892 + 19.9001i −0.141609 + 0.803102i
\(615\) −0.231429 + 0.400847i −0.00933213 + 0.0161637i
\(616\) 5.52229 + 9.56488i 0.222499 + 0.385380i
\(617\) 19.2472 7.00541i 0.774864 0.282027i 0.0758345 0.997120i \(-0.475838\pi\)
0.699029 + 0.715093i \(0.253616\pi\)
\(618\) −9.76991 + 3.55596i −0.393004 + 0.143042i
\(619\) 7.87258 + 13.6357i 0.316426 + 0.548065i 0.979740 0.200276i \(-0.0641839\pi\)
−0.663314 + 0.748341i \(0.730851\pi\)
\(620\) 0.322481 0.558554i 0.0129512 0.0224321i
\(621\) −0.964508 + 5.46999i −0.0387044 + 0.219503i
\(622\) 7.36824 6.18269i 0.295440 0.247903i
\(623\) −11.2779 9.46329i −0.451840 0.379139i
\(624\) −0.141559 0.802823i −0.00566691 0.0321386i
\(625\) −23.2875 8.47594i −0.931498 0.339038i
\(626\) 24.8881 0.994727
\(627\) −11.1998 0.667985i −0.447277 0.0266768i
\(628\) −3.97771 −0.158728
\(629\) −3.74510 1.36310i −0.149327 0.0543506i
\(630\) 0.0898700 + 0.509678i 0.00358051 + 0.0203061i
\(631\) −16.2041 13.5969i −0.645077 0.541284i 0.260496 0.965475i \(-0.416114\pi\)
−0.905573 + 0.424191i \(0.860558\pi\)
\(632\) 3.72075 3.12208i 0.148004 0.124190i
\(633\) 0.240352 1.36310i 0.00955314 0.0541786i
\(634\) −8.63176 + 14.9506i −0.342811 + 0.593766i
\(635\) 0.255777 + 0.443020i 0.0101502 + 0.0175807i
\(636\) 11.9893 4.36376i 0.475408 0.173034i
\(637\) −8.74170 + 3.18172i −0.346359 + 0.126064i
\(638\) −3.02094 5.23243i −0.119600 0.207154i
\(639\) −6.66637 + 11.5465i −0.263718 + 0.456772i
\(640\) −0.0209445 + 0.118782i −0.000827905 + 0.00469528i
\(641\) 6.30200 5.28801i 0.248914 0.208864i −0.509790 0.860299i \(-0.670277\pi\)
0.758705 + 0.651435i \(0.225833\pi\)
\(642\) 6.98158 + 5.85824i 0.275541 + 0.231206i
\(643\) −0.742574 4.21134i −0.0292842 0.166079i 0.966658 0.256069i \(-0.0824276\pi\)
−0.995943 + 0.0899901i \(0.971316\pi\)
\(644\) 22.3957 + 8.15138i 0.882516 + 0.321210i
\(645\) 1.12567 0.0443231
\(646\) −0.233956 2.02611i −0.00920486 0.0797164i
\(647\) 0.947682 0.0372572 0.0186286 0.999826i \(-0.494070\pi\)
0.0186286 + 0.999826i \(0.494070\pi\)
\(648\) −0.939693 0.342020i −0.0369146 0.0134358i
\(649\) 6.72668 + 38.1489i 0.264045 + 1.49748i
\(650\) −3.11334 2.61240i −0.122115 0.102467i
\(651\) 17.5765 14.7484i 0.688878 0.578037i
\(652\) 3.33409 18.9086i 0.130573 0.740517i
\(653\) 16.4217 28.4433i 0.642632 1.11307i −0.342211 0.939623i \(-0.611176\pi\)
0.984843 0.173449i \(-0.0554911\pi\)
\(654\) 1.91488 + 3.31667i 0.0748776 + 0.129692i
\(655\) 2.38501 0.868073i 0.0931901 0.0339184i
\(656\) −3.60607 + 1.31250i −0.140793 + 0.0512446i
\(657\) −1.14156 1.97724i −0.0445365 0.0771394i
\(658\) −20.3293 + 35.2115i −0.792520 + 1.37269i
\(659\) 0.823826 4.67215i 0.0320917 0.182001i −0.964548 0.263906i \(-0.914989\pi\)
0.996640 + 0.0819047i \(0.0261003\pi\)
\(660\) 0.237826 0.199560i 0.00925736 0.00776785i
\(661\) 30.1864 + 25.3294i 1.17412 + 0.985201i 1.00000 0.000475674i \(0.000151412\pi\)
0.174117 + 0.984725i \(0.444293\pi\)
\(662\) 1.73483 + 9.83873i 0.0674262 + 0.382393i
\(663\) −0.358441 0.130462i −0.0139207 0.00506671i
\(664\) 3.24897 0.126085
\(665\) −1.24227 + 1.88305i −0.0481731 + 0.0730217i
\(666\) −8.51754 −0.330048
\(667\) −12.2515 4.45918i −0.474380 0.172660i
\(668\) −2.66978 15.1411i −0.103297 0.585825i
\(669\) −17.0929 14.3426i −0.660848 0.554518i
\(670\) −1.05850 + 0.888184i −0.0408933 + 0.0343135i
\(671\) −0.767389 + 4.35208i −0.0296247 + 0.168010i
\(672\) −2.14543 + 3.71599i −0.0827617 + 0.143348i
\(673\) −8.57145 14.8462i −0.330405 0.572279i 0.652186 0.758059i \(-0.273852\pi\)
−0.982591 + 0.185780i \(0.940519\pi\)
\(674\) −6.35591 + 2.31336i −0.244821 + 0.0891074i
\(675\) −4.68479 + 1.70513i −0.180318 + 0.0656303i
\(676\) 6.16772 + 10.6828i 0.237220 + 0.410877i
\(677\) −3.56506 + 6.17486i −0.137016 + 0.237319i −0.926366 0.376625i \(-0.877085\pi\)
0.789350 + 0.613944i \(0.210418\pi\)
\(678\) −0.939693 + 5.32926i −0.0360887 + 0.204669i
\(679\) −10.1930 + 8.55294i −0.391171 + 0.328232i
\(680\) 0.0432332 + 0.0362770i 0.00165792 + 0.00139116i
\(681\) 3.60607 + 20.4510i 0.138185 + 0.783685i
\(682\) −12.9338 4.70750i −0.495259 0.180260i
\(683\) −26.0000 −0.994862 −0.497431 0.867503i \(-0.665723\pi\)
−0.497431 + 0.867503i \(0.665723\pi\)
\(684\) −1.95084 3.89798i −0.0745921 0.149043i
\(685\) 1.48608 0.0567802
\(686\) 17.7875 + 6.47410i 0.679128 + 0.247182i
\(687\) −0.958111 5.43372i −0.0365542 0.207309i
\(688\) 7.14930 + 5.99898i 0.272565 + 0.228709i
\(689\) 7.96766 6.68566i 0.303544 0.254703i
\(690\) 0.116334 0.659762i 0.00442875 0.0251167i
\(691\) −19.6857 + 34.0967i −0.748880 + 1.29710i 0.199479 + 0.979902i \(0.436075\pi\)
−0.948360 + 0.317197i \(0.897258\pi\)
\(692\) 3.29679 + 5.71021i 0.125325 + 0.217069i
\(693\) 10.3785 3.77747i 0.394247 0.143494i
\(694\) −23.1177 + 8.41415i −0.877535 + 0.319397i
\(695\) −0.337029 0.583752i −0.0127843 0.0221430i
\(696\) 1.17365 2.03282i 0.0444870 0.0770538i
\(697\) −0.311804 + 1.76833i −0.0118104 + 0.0669802i
\(698\) −5.23577 + 4.39333i −0.198177 + 0.166290i
\(699\) 11.5569 + 9.69739i 0.437122 + 0.366789i
\(700\) 3.71466 + 21.0669i 0.140401 + 0.796253i
\(701\) −5.29426 1.92695i −0.199962 0.0727801i 0.240098 0.970749i \(-0.422820\pi\)
−0.440060 + 0.897969i \(0.645043\pi\)
\(702\) −0.815207 −0.0307680
\(703\) −26.9697 25.5158i −1.01718 0.962346i
\(704\) 2.57398 0.0970104
\(705\) 1.07398 + 0.390896i 0.0404483 + 0.0147220i
\(706\) −0.882789 5.00654i −0.0332242 0.188424i
\(707\) 54.9903 + 46.1423i 2.06812 + 1.73536i
\(708\) −11.5287 + 9.67372i −0.433275 + 0.363560i
\(709\) 5.32517 30.2005i 0.199991 1.13421i −0.705139 0.709069i \(-0.749115\pi\)
0.905130 0.425136i \(-0.139774\pi\)
\(710\) 0.804063 1.39268i 0.0301760 0.0522663i
\(711\) −2.42855 4.20637i −0.0910777 0.157751i
\(712\) −3.22416 + 1.17350i −0.120830 + 0.0439786i
\(713\) −27.9097 + 10.1583i −1.04523 + 0.380432i
\(714\) 1.00387 + 1.73875i 0.0375689 + 0.0650713i
\(715\) 0.126545 0.219182i 0.00473250 0.00819693i
\(716\) 0.215537 1.22237i 0.00805500 0.0456822i
\(717\) 22.1780 18.6095i 0.828252 0.694986i
\(718\) −2.19665 1.84321i −0.0819783 0.0687880i
\(719\) 1.10085 + 6.24324i 0.0410549 + 0.232834i 0.998430 0.0560138i \(-0.0178391\pi\)
−0.957375 + 0.288847i \(0.906728\pi\)
\(720\) 0.113341 + 0.0412527i 0.00422396 + 0.00153740i
\(721\) 44.6117 1.66143
\(722\) 5.50000 18.1865i 0.204689 0.676833i
\(723\) 19.3696 0.720363
\(724\) −3.78699 1.37835i −0.140742 0.0512260i
\(725\) −2.03209 11.5245i −0.0754699 0.428011i
\(726\) 3.35117 + 2.81196i 0.124373 + 0.104362i
\(727\) −17.8806 + 15.0036i −0.663154 + 0.556452i −0.911030 0.412340i \(-0.864712\pi\)
0.247877 + 0.968792i \(0.420267\pi\)
\(728\) −0.607411 + 3.44480i −0.0225121 + 0.127673i
\(729\) −0.500000 + 0.866025i −0.0185185 + 0.0320750i
\(730\) 0.137689 + 0.238484i 0.00509609 + 0.00882670i
\(731\) 4.10354 1.49357i 0.151775 0.0552416i
\(732\) −1.61334 + 0.587208i −0.0596308 + 0.0217038i
\(733\) −0.794730 1.37651i −0.0293540 0.0508426i 0.850975 0.525206i \(-0.176012\pi\)
−0.880329 + 0.474363i \(0.842678\pi\)
\(734\) −11.0715 + 19.1763i −0.408655 + 0.707811i
\(735\) 0.239008 1.35548i 0.00881594 0.0499977i
\(736\) 4.25490 3.57029i 0.156838 0.131602i
\(737\) 22.5888 + 18.9543i 0.832070 + 0.698190i
\(738\) 0.666374 + 3.77920i 0.0245296 + 0.139114i
\(739\) −3.43882 1.25163i −0.126499 0.0460418i 0.277995 0.960582i \(-0.410330\pi\)
−0.404494 + 0.914541i \(0.632552\pi\)
\(740\) 1.02734 0.0377658
\(741\) −2.58125 2.44210i −0.0948247 0.0897127i
\(742\) −54.7461 −2.00979
\(743\) 17.2716 + 6.28634i 0.633632 + 0.230623i 0.638811 0.769363i \(-0.279426\pi\)
−0.00517924 + 0.999987i \(0.501649\pi\)
\(744\) −0.928548 5.26606i −0.0340422 0.193063i
\(745\) −1.02506 0.860130i −0.0375554 0.0315127i
\(746\) 13.5385 11.3601i 0.495679 0.415924i
\(747\) 0.564178 3.19961i 0.0206422 0.117068i
\(748\) 0.602196 1.04303i 0.0220185 0.0381371i
\(749\) −19.5530 33.8668i −0.714452 1.23747i
\(750\) 1.13176 0.411927i 0.0413260 0.0150414i
\(751\) −28.8161 + 10.4882i −1.05152 + 0.382720i −0.809235 0.587486i \(-0.800118\pi\)
−0.242281 + 0.970206i \(0.577896\pi\)
\(752\) 4.73783 + 8.20616i 0.172771 + 0.299248i
\(753\) −2.17112 + 3.76049i −0.0791201 + 0.137040i
\(754\) 0.332282 1.88446i 0.0121010 0.0686281i
\(755\) −1.16385 + 0.976584i −0.0423568 + 0.0355415i
\(756\) 3.28699 + 2.75811i 0.119547 + 0.100312i
\(757\) −1.35235 7.66955i −0.0491520 0.278755i 0.950319 0.311278i \(-0.100757\pi\)
−0.999471 + 0.0325230i \(0.989646\pi\)
\(758\) 9.17112 + 3.33802i 0.333110 + 0.121242i
\(759\) −14.2968 −0.518943
\(760\) 0.235300 + 0.470154i 0.00853522 + 0.0170543i
\(761\) 28.3969 1.02939 0.514694 0.857374i \(-0.327906\pi\)
0.514694 + 0.857374i \(0.327906\pi\)
\(762\) 3.98545 + 1.45059i 0.144378 + 0.0525492i
\(763\) −2.85355 16.1833i −0.103305 0.585874i
\(764\) −18.4500 15.4814i −0.667496 0.560096i
\(765\) 0.0432332 0.0362770i 0.00156310 0.00131160i
\(766\) −3.87505 + 21.9765i −0.140011 + 0.794043i
\(767\) −6.13429 + 10.6249i −0.221496 + 0.383643i
\(768\) 0.500000 + 0.866025i 0.0180422 + 0.0312500i
\(769\) −33.1095 + 12.0509i −1.19396 + 0.434566i −0.861112 0.508415i \(-0.830232\pi\)
−0.332848 + 0.942981i \(0.608010\pi\)
\(770\) −1.25180 + 0.455618i −0.0451118 + 0.0164193i
\(771\) 8.88326 + 15.3863i 0.319923 + 0.554122i
\(772\) 4.92989 8.53882i 0.177431