Properties

Label 144.2.u.a.11.7
Level $144$
Weight $2$
Character 144.11
Analytic conductor $1.150$
Analytic rank $0$
Dimension $88$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 144 = 2^{4} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 144.u (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.14984578911\)
Analytic rank: \(0\)
Dimension: \(88\)
Relative dimension: \(22\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 11.7
Character \(\chi\) \(=\) 144.11
Dual form 144.2.u.a.131.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.990880 + 1.00904i) q^{2} +(-0.800065 + 1.53620i) q^{3} +(-0.0363133 - 1.99967i) q^{4} +(3.73424 + 1.00059i) q^{5} +(-0.757311 - 2.32948i) q^{6} +(-1.68236 + 2.91393i) q^{7} +(2.05372 + 1.94479i) q^{8} +(-1.71979 - 2.45811i) q^{9} +O(q^{10})\) \(q+(-0.990880 + 1.00904i) q^{2} +(-0.800065 + 1.53620i) q^{3} +(-0.0363133 - 1.99967i) q^{4} +(3.73424 + 1.00059i) q^{5} +(-0.757311 - 2.32948i) q^{6} +(-1.68236 + 2.91393i) q^{7} +(2.05372 + 1.94479i) q^{8} +(-1.71979 - 2.45811i) q^{9} +(-4.70981 + 2.77653i) q^{10} +(0.211428 - 0.0566521i) q^{11} +(3.10094 + 1.54408i) q^{12} +(-2.71526 - 0.727551i) q^{13} +(-1.27325 - 4.58492i) q^{14} +(-4.52473 + 4.93599i) q^{15} +(-3.99736 + 0.145229i) q^{16} +4.23937i q^{17} +(4.18444 + 0.700358i) q^{18} +(-1.12365 - 1.12365i) q^{19} +(1.86524 - 7.50358i) q^{20} +(-3.13037 - 4.91577i) q^{21} +(-0.152336 + 0.269474i) q^{22} +(3.33369 - 1.92471i) q^{23} +(-4.63069 + 1.59896i) q^{24} +(8.61325 + 4.97286i) q^{25} +(3.42462 - 2.01888i) q^{26} +(5.15209 - 0.675290i) q^{27} +(5.88800 + 3.25835i) q^{28} +(2.03634 - 0.545635i) q^{29} +(-0.497132 - 9.45659i) q^{30} +(7.21206 - 4.16388i) q^{31} +(3.81437 - 4.17739i) q^{32} +(-0.0821277 + 0.370121i) q^{33} +(-4.27769 - 4.20071i) q^{34} +(-9.19798 + 9.19798i) q^{35} +(-4.85296 + 3.52828i) q^{36} +(-2.66564 - 2.66564i) q^{37} +(2.24720 - 0.0204025i) q^{38} +(3.29004 - 3.58908i) q^{39} +(5.72317 + 9.31725i) q^{40} +(1.70386 + 2.95117i) q^{41} +(8.06202 + 1.71227i) q^{42} +(-1.25664 - 4.68985i) q^{43} +(-0.120963 - 0.420730i) q^{44} +(-3.96257 - 10.9000i) q^{45} +(-1.36119 + 5.27098i) q^{46} +(-2.34998 + 4.07028i) q^{47} +(2.97505 - 6.25692i) q^{48} +(-2.16067 - 3.74239i) q^{49} +(-13.5525 + 3.76358i) q^{50} +(-6.51251 - 3.39177i) q^{51} +(-1.35626 + 5.45604i) q^{52} +(7.58271 - 7.58271i) q^{53} +(-4.42371 + 5.86778i) q^{54} +0.846209 q^{55} +(-9.12210 + 2.71258i) q^{56} +(2.62513 - 0.827151i) q^{57} +(-1.46720 + 2.59540i) q^{58} +(-1.43167 + 5.34305i) q^{59} +(10.0347 + 8.86873i) q^{60} +(-2.33105 - 8.69958i) q^{61} +(-2.94477 + 11.4031i) q^{62} +(10.0561 - 0.875933i) q^{63} +(0.435568 + 7.98813i) q^{64} +(-9.41144 - 5.43370i) q^{65} +(-0.292087 - 0.449615i) q^{66} +(1.38665 - 5.17504i) q^{67} +(8.47735 - 0.153945i) q^{68} +(0.289558 + 6.66110i) q^{69} +(-0.167011 - 18.3952i) q^{70} -7.53614i q^{71} +(1.24854 - 8.39292i) q^{72} +3.22646i q^{73} +(5.33107 - 0.0484011i) q^{74} +(-14.5304 + 9.25302i) q^{75} +(-2.20612 + 2.28773i) q^{76} +(-0.190618 + 0.711397i) q^{77} +(0.361477 + 6.87612i) q^{78} +(4.98587 + 2.87859i) q^{79} +(-15.0724 - 3.45739i) q^{80} +(-3.08462 + 8.45489i) q^{81} +(-4.66616 - 1.20500i) q^{82} +(1.20739 + 4.50604i) q^{83} +(-9.71624 + 6.43822i) q^{84} +(-4.24186 + 15.8308i) q^{85} +(5.97741 + 3.37908i) q^{86} +(-0.790999 + 3.56475i) q^{87} +(0.544392 + 0.294836i) q^{88} +2.96157 q^{89} +(14.9249 + 6.80220i) q^{90} +(6.68807 - 6.68807i) q^{91} +(-3.96984 - 6.59639i) q^{92} +(0.626426 + 14.4105i) q^{93} +(-1.77852 - 6.40437i) q^{94} +(-3.07166 - 5.32027i) q^{95} +(3.36555 + 9.20180i) q^{96} +(-7.63883 + 13.2308i) q^{97} +(5.91718 + 1.52806i) q^{98} +(-0.502870 - 0.422285i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 88q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} + 2q^{6} - 4q^{7} + O(q^{10}) \) \( 88q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} + 2q^{6} - 4q^{7} - 8q^{10} - 6q^{11} - 16q^{12} - 2q^{13} - 6q^{14} - 2q^{16} - 10q^{18} - 8q^{19} - 48q^{20} + 2q^{21} - 2q^{22} - 12q^{23} - 16q^{27} + 8q^{28} - 6q^{29} - 34q^{30} - 6q^{32} - 8q^{33} + 2q^{34} - 26q^{36} - 8q^{37} - 6q^{38} - 32q^{39} - 2q^{40} + 48q^{42} - 2q^{43} + 6q^{45} - 40q^{46} + 42q^{48} - 24q^{49} + 72q^{50} - 12q^{51} - 2q^{52} - 38q^{54} - 16q^{55} + 36q^{56} + 16q^{58} - 42q^{59} + 70q^{60} - 2q^{61} - 44q^{64} - 12q^{65} + 104q^{66} - 2q^{67} + 96q^{68} - 10q^{69} - 16q^{70} - 10q^{72} + 78q^{74} - 56q^{75} - 14q^{76} - 6q^{77} + 12q^{78} - 8q^{81} - 36q^{82} + 54q^{83} + 158q^{84} + 8q^{85} + 54q^{86} + 48q^{87} + 22q^{88} + 64q^{90} + 20q^{91} + 108q^{92} - 34q^{93} + 6q^{94} - 58q^{96} - 4q^{97} + 46q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{1}{6}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.990880 + 1.00904i −0.700658 + 0.713497i
\(3\) −0.800065 + 1.53620i −0.461918 + 0.886923i
\(4\) −0.0363133 1.99967i −0.0181566 0.999835i
\(5\) 3.73424 + 1.00059i 1.67000 + 0.447476i 0.965111 0.261839i \(-0.0843291\pi\)
0.704891 + 0.709315i \(0.250996\pi\)
\(6\) −0.757311 2.32948i −0.309171 0.951007i
\(7\) −1.68236 + 2.91393i −0.635872 + 1.10136i 0.350457 + 0.936579i \(0.386026\pi\)
−0.986330 + 0.164785i \(0.947307\pi\)
\(8\) 2.05372 + 1.94479i 0.726101 + 0.687588i
\(9\) −1.71979 2.45811i −0.573264 0.819371i
\(10\) −4.70981 + 2.77653i −1.48937 + 0.878015i
\(11\) 0.211428 0.0566521i 0.0637480 0.0170812i −0.226804 0.973940i \(-0.572828\pi\)
0.290552 + 0.956859i \(0.406161\pi\)
\(12\) 3.10094 + 1.54408i 0.895164 + 0.445738i
\(13\) −2.71526 0.727551i −0.753076 0.201786i −0.138194 0.990405i \(-0.544130\pi\)
−0.614882 + 0.788619i \(0.710796\pi\)
\(14\) −1.27325 4.58492i −0.340291 1.22537i
\(15\) −4.52473 + 4.93599i −1.16828 + 1.27447i
\(16\) −3.99736 + 0.145229i −0.999341 + 0.0363073i
\(17\) 4.23937i 1.02820i 0.857731 + 0.514100i \(0.171874\pi\)
−0.857731 + 0.514100i \(0.828126\pi\)
\(18\) 4.18444 + 0.700358i 0.986281 + 0.165076i
\(19\) −1.12365 1.12365i −0.257782 0.257782i 0.566369 0.824152i \(-0.308348\pi\)
−0.824152 + 0.566369i \(0.808348\pi\)
\(20\) 1.86524 7.50358i 0.417081 1.67785i
\(21\) −3.13037 4.91577i −0.683104 1.07271i
\(22\) −0.152336 + 0.269474i −0.0324782 + 0.0574522i
\(23\) 3.33369 1.92471i 0.695123 0.401329i −0.110405 0.993887i \(-0.535215\pi\)
0.805528 + 0.592557i \(0.201882\pi\)
\(24\) −4.63069 + 1.59896i −0.945236 + 0.326387i
\(25\) 8.61325 + 4.97286i 1.72265 + 0.994572i
\(26\) 3.42462 2.01888i 0.671623 0.395935i
\(27\) 5.15209 0.675290i 0.991519 0.129960i
\(28\) 5.88800 + 3.25835i 1.11273 + 0.615771i
\(29\) 2.03634 0.545635i 0.378138 0.101322i −0.0647434 0.997902i \(-0.520623\pi\)
0.442882 + 0.896580i \(0.353956\pi\)
\(30\) −0.497132 9.45659i −0.0907635 1.72653i
\(31\) 7.21206 4.16388i 1.29532 0.747856i 0.315731 0.948849i \(-0.397750\pi\)
0.979593 + 0.200993i \(0.0644169\pi\)
\(32\) 3.81437 4.17739i 0.674291 0.738466i
\(33\) −0.0821277 + 0.370121i −0.0142966 + 0.0644297i
\(34\) −4.27769 4.20071i −0.733617 0.720416i
\(35\) −9.19798 + 9.19798i −1.55474 + 1.55474i
\(36\) −4.85296 + 3.52828i −0.808827 + 0.588047i
\(37\) −2.66564 2.66564i −0.438229 0.438229i 0.453187 0.891416i \(-0.350287\pi\)
−0.891416 + 0.453187i \(0.850287\pi\)
\(38\) 2.24720 0.0204025i 0.364544 0.00330972i
\(39\) 3.29004 3.58908i 0.526828 0.574712i
\(40\) 5.72317 + 9.31725i 0.904912 + 1.47319i
\(41\) 1.70386 + 2.95117i 0.266098 + 0.460895i 0.967851 0.251526i \(-0.0809323\pi\)
−0.701753 + 0.712420i \(0.747599\pi\)
\(42\) 8.06202 + 1.71227i 1.24400 + 0.264209i
\(43\) −1.25664 4.68985i −0.191636 0.715195i −0.993112 0.117168i \(-0.962618\pi\)
0.801476 0.598027i \(-0.204048\pi\)
\(44\) −0.120963 0.420730i −0.0182359 0.0634274i
\(45\) −3.96257 10.9000i −0.590704 1.62487i
\(46\) −1.36119 + 5.27098i −0.200696 + 0.777163i
\(47\) −2.34998 + 4.07028i −0.342779 + 0.593711i −0.984948 0.172852i \(-0.944702\pi\)
0.642168 + 0.766564i \(0.278035\pi\)
\(48\) 2.97505 6.25692i 0.429411 0.903109i
\(49\) −2.16067 3.74239i −0.308667 0.534628i
\(50\) −13.5525 + 3.76358i −1.91661 + 0.532251i
\(51\) −6.51251 3.39177i −0.911933 0.474943i
\(52\) −1.35626 + 5.45604i −0.188080 + 0.756616i
\(53\) 7.58271 7.58271i 1.04157 1.04157i 0.0424680 0.999098i \(-0.486478\pi\)
0.999098 0.0424680i \(-0.0135220\pi\)
\(54\) −4.42371 + 5.86778i −0.601990 + 0.798503i
\(55\) 0.846209 0.114103
\(56\) −9.12210 + 2.71258i −1.21899 + 0.362483i
\(57\) 2.62513 0.827151i 0.347707 0.109559i
\(58\) −1.46720 + 2.59540i −0.192653 + 0.340793i
\(59\) −1.43167 + 5.34305i −0.186387 + 0.695605i 0.807942 + 0.589261i \(0.200581\pi\)
−0.994329 + 0.106344i \(0.966085\pi\)
\(60\) 10.0347 + 8.86873i 1.29547 + 1.14495i
\(61\) −2.33105 8.69958i −0.298460 1.11387i −0.938431 0.345468i \(-0.887720\pi\)
0.639971 0.768399i \(-0.278946\pi\)
\(62\) −2.94477 + 11.4031i −0.373986 + 1.44820i
\(63\) 10.0561 0.875933i 1.26695 0.110357i
\(64\) 0.435568 + 7.98813i 0.0544460 + 0.998517i
\(65\) −9.41144 5.43370i −1.16735 0.673967i
\(66\) −0.292087 0.449615i −0.0359534 0.0553438i
\(67\) 1.38665 5.17504i 0.169406 0.632231i −0.828031 0.560682i \(-0.810539\pi\)
0.997437 0.0715493i \(-0.0227943\pi\)
\(68\) 8.47735 0.153945i 1.02803 0.0186686i
\(69\) 0.289558 + 6.66110i 0.0348587 + 0.801902i
\(70\) −0.167011 18.3952i −0.0199617 2.19865i
\(71\) 7.53614i 0.894375i −0.894440 0.447187i \(-0.852426\pi\)
0.894440 0.447187i \(-0.147574\pi\)
\(72\) 1.24854 8.39292i 0.147141 0.989115i
\(73\) 3.22646i 0.377629i 0.982013 + 0.188814i \(0.0604644\pi\)
−0.982013 + 0.188814i \(0.939536\pi\)
\(74\) 5.33107 0.0484011i 0.619724 0.00562651i
\(75\) −14.5304 + 9.25302i −1.67783 + 1.06845i
\(76\) −2.20612 + 2.28773i −0.253059 + 0.262420i
\(77\) −0.190618 + 0.711397i −0.0217230 + 0.0810712i
\(78\) 0.361477 + 6.87612i 0.0409292 + 0.778567i
\(79\) 4.98587 + 2.87859i 0.560954 + 0.323867i 0.753528 0.657415i \(-0.228350\pi\)
−0.192574 + 0.981282i \(0.561684\pi\)
\(80\) −15.0724 3.45739i −1.68515 0.386548i
\(81\) −3.08462 + 8.45489i −0.342736 + 0.939432i
\(82\) −4.66616 1.20500i −0.515291 0.133070i
\(83\) 1.20739 + 4.50604i 0.132528 + 0.494602i 0.999996 0.00289160i \(-0.000920425\pi\)
−0.867468 + 0.497494i \(0.834254\pi\)
\(84\) −9.71624 + 6.43822i −1.06013 + 0.702468i
\(85\) −4.24186 + 15.8308i −0.460094 + 1.71710i
\(86\) 5.97741 + 3.37908i 0.644561 + 0.364376i
\(87\) −0.790999 + 3.56475i −0.0848040 + 0.382182i
\(88\) 0.544392 + 0.294836i 0.0580324 + 0.0314297i
\(89\) 2.96157 0.313926 0.156963 0.987605i \(-0.449830\pi\)
0.156963 + 0.987605i \(0.449830\pi\)
\(90\) 14.9249 + 6.80220i 1.57322 + 0.717014i
\(91\) 6.68807 6.68807i 0.701100 0.701100i
\(92\) −3.96984 6.59639i −0.413884 0.687722i
\(93\) 0.626426 + 14.4105i 0.0649573 + 1.49430i
\(94\) −1.77852 6.40437i −0.183440 0.660561i
\(95\) −3.07166 5.32027i −0.315146 0.545849i
\(96\) 3.36555 + 9.20180i 0.343495 + 0.939154i
\(97\) −7.63883 + 13.2308i −0.775606 + 1.34339i 0.158848 + 0.987303i \(0.449222\pi\)
−0.934453 + 0.356085i \(0.884111\pi\)
\(98\) 5.91718 + 1.52806i 0.597726 + 0.154358i
\(99\) −0.502870 0.422285i −0.0505403 0.0424412i
\(100\) 9.63131 17.4042i 0.963131 1.74042i
\(101\) 0.0347486 + 0.129684i 0.00345762 + 0.0129040i 0.967633 0.252361i \(-0.0812071\pi\)
−0.964175 + 0.265265i \(0.914540\pi\)
\(102\) 9.87554 3.21052i 0.977824 0.317889i
\(103\) −4.09117 7.08611i −0.403115 0.698215i 0.590985 0.806682i \(-0.298739\pi\)
−0.994100 + 0.108467i \(0.965406\pi\)
\(104\) −4.16145 6.77480i −0.408064 0.664323i
\(105\) −6.77091 21.4889i −0.660774 2.09710i
\(106\) 0.137682 + 15.1648i 0.0133729 + 1.47294i
\(107\) −8.28837 8.28837i −0.801267 0.801267i 0.182027 0.983294i \(-0.441734\pi\)
−0.983294 + 0.182027i \(0.941734\pi\)
\(108\) −1.53745 10.2780i −0.147941 0.988996i
\(109\) 6.31291 6.31291i 0.604667 0.604667i −0.336881 0.941547i \(-0.609372\pi\)
0.941547 + 0.336881i \(0.109372\pi\)
\(110\) −0.838492 + 0.853857i −0.0799471 + 0.0814121i
\(111\) 6.22764 1.96226i 0.591101 0.186250i
\(112\) 6.30182 11.8924i 0.595466 1.12372i
\(113\) 14.6562 8.46178i 1.37874 0.796017i 0.386735 0.922191i \(-0.373603\pi\)
0.992008 + 0.126174i \(0.0402696\pi\)
\(114\) −1.76656 + 3.46846i −0.165454 + 0.324851i
\(115\) 14.3746 3.85167i 1.34044 0.359171i
\(116\) −1.16504 4.05219i −0.108171 0.376236i
\(117\) 2.88128 + 7.92564i 0.266374 + 0.732725i
\(118\) −3.97273 6.73892i −0.365719 0.620368i
\(119\) −12.3533 7.13215i −1.13242 0.653803i
\(120\) −18.8920 + 1.33750i −1.72460 + 0.122097i
\(121\) −9.48479 + 5.47604i −0.862253 + 0.497822i
\(122\) 11.0880 + 6.26813i 1.00386 + 0.567490i
\(123\) −5.89676 + 0.256333i −0.531693 + 0.0231128i
\(124\) −8.58829 14.2705i −0.771251 1.28153i
\(125\) 13.5199 + 13.5199i 1.20926 + 1.20926i
\(126\) −9.08052 + 11.0149i −0.808957 + 0.981286i
\(127\) 13.4028i 1.18931i −0.803981 0.594654i \(-0.797289\pi\)
0.803981 0.594654i \(-0.202711\pi\)
\(128\) −8.49192 7.47578i −0.750587 0.660772i
\(129\) 8.20992 + 1.82174i 0.722843 + 0.160395i
\(130\) 14.8084 4.11235i 1.29878 0.360677i
\(131\) 0.632708 + 0.169534i 0.0552800 + 0.0148122i 0.286353 0.958124i \(-0.407557\pi\)
−0.231073 + 0.972936i \(0.574224\pi\)
\(132\) 0.743101 + 0.150788i 0.0646787 + 0.0131244i
\(133\) 5.16461 1.38385i 0.447829 0.119995i
\(134\) 3.84781 + 6.52702i 0.332400 + 0.563849i
\(135\) 19.9148 + 2.63341i 1.71399 + 0.226648i
\(136\) −8.24470 + 8.70650i −0.706977 + 0.746577i
\(137\) −10.5230 + 18.2263i −0.899037 + 1.55718i −0.0703095 + 0.997525i \(0.522399\pi\)
−0.828727 + 0.559652i \(0.810935\pi\)
\(138\) −7.00821 6.30817i −0.596579 0.536987i
\(139\) 6.44400 + 1.72666i 0.546573 + 0.146454i 0.521530 0.853233i \(-0.325361\pi\)
0.0250423 + 0.999686i \(0.492028\pi\)
\(140\) 18.7269 + 18.0589i 1.58271 + 1.52626i
\(141\) −4.37261 6.86651i −0.368240 0.578264i
\(142\) 7.60424 + 7.46741i 0.638134 + 0.626651i
\(143\) −0.615299 −0.0514539
\(144\) 7.23163 + 9.57620i 0.602635 + 0.798017i
\(145\) 8.15012 0.676831
\(146\) −3.25562 3.19703i −0.269437 0.264588i
\(147\) 7.47772 0.325057i 0.616752 0.0268103i
\(148\) −5.23361 + 5.42721i −0.430200 + 0.446114i
\(149\) −21.5773 5.78161i −1.76768 0.473648i −0.779428 0.626492i \(-0.784490\pi\)
−0.988250 + 0.152844i \(0.951157\pi\)
\(150\) 5.06128 23.8304i 0.413252 1.94574i
\(151\) −9.97506 + 17.2773i −0.811759 + 1.40601i 0.0998734 + 0.995000i \(0.468156\pi\)
−0.911632 + 0.411007i \(0.865177\pi\)
\(152\) −0.122401 4.49292i −0.00992807 0.364424i
\(153\) 10.4209 7.29084i 0.842476 0.589430i
\(154\) −0.528947 0.897250i −0.0426237 0.0723025i
\(155\) 31.0979 8.33265i 2.49784 0.669295i
\(156\) −7.29644 6.44866i −0.584183 0.516306i
\(157\) −14.3943 3.85693i −1.14879 0.307817i −0.366308 0.930494i \(-0.619378\pi\)
−0.782479 + 0.622677i \(0.786045\pi\)
\(158\) −7.84501 + 2.17859i −0.624115 + 0.173319i
\(159\) 5.58187 + 17.7152i 0.442671 + 1.40491i
\(160\) 18.4236 11.7828i 1.45651 0.931511i
\(161\) 12.9522i 1.02078i
\(162\) −5.47480 11.4903i −0.430141 0.902762i
\(163\) −4.35766 4.35766i −0.341318 0.341318i 0.515545 0.856863i \(-0.327590\pi\)
−0.856863 + 0.515545i \(0.827590\pi\)
\(164\) 5.83949 3.51432i 0.455987 0.274422i
\(165\) −0.677022 + 1.29994i −0.0527061 + 0.101200i
\(166\) −5.74314 3.24664i −0.445754 0.251988i
\(167\) −11.8952 + 6.86770i −0.920479 + 0.531439i −0.883788 0.467888i \(-0.845015\pi\)
−0.0366910 + 0.999327i \(0.511682\pi\)
\(168\) 3.13122 16.1836i 0.241579 1.24859i
\(169\) −4.41505 2.54903i −0.339619 0.196079i
\(170\) −11.7707 19.9667i −0.902774 1.53137i
\(171\) −0.829610 + 4.69449i −0.0634418 + 0.358997i
\(172\) −9.33252 + 2.68317i −0.711598 + 0.204590i
\(173\) 5.24342 1.40497i 0.398650 0.106818i −0.0539235 0.998545i \(-0.517173\pi\)
0.452573 + 0.891727i \(0.350506\pi\)
\(174\) −2.81319 4.33039i −0.213267 0.328286i
\(175\) −28.9812 + 16.7323i −2.19077 + 1.26484i
\(176\) −0.836928 + 0.257164i −0.0630858 + 0.0193845i
\(177\) −7.06254 6.47410i −0.530853 0.486623i
\(178\) −2.93456 + 2.98833i −0.219954 + 0.223985i
\(179\) −0.380130 + 0.380130i −0.0284123 + 0.0284123i −0.721170 0.692758i \(-0.756395\pi\)
0.692758 + 0.721170i \(0.256395\pi\)
\(180\) −21.6525 + 8.31964i −1.61388 + 0.620109i
\(181\) −4.98992 4.98992i −0.370898 0.370898i 0.496906 0.867804i \(-0.334469\pi\)
−0.867804 + 0.496906i \(0.834469\pi\)
\(182\) 0.121438 + 13.3756i 0.00900157 + 0.991465i
\(183\) 15.2292 + 3.37929i 1.12578 + 0.249804i
\(184\) 10.5896 + 2.53052i 0.780679 + 0.186552i
\(185\) −7.28695 12.6214i −0.535747 0.927941i
\(186\) −15.1615 13.6470i −1.11169 1.00065i
\(187\) 0.240169 + 0.896324i 0.0175629 + 0.0655457i
\(188\) 8.22455 + 4.55137i 0.599837 + 0.331943i
\(189\) −6.69991 + 16.1489i −0.487347 + 1.17466i
\(190\) 8.41200 + 2.17233i 0.610271 + 0.157598i
\(191\) 5.40555 9.36269i 0.391132 0.677461i −0.601467 0.798898i \(-0.705417\pi\)
0.992599 + 0.121437i \(0.0387502\pi\)
\(192\) −12.6198 5.72191i −0.910757 0.412943i
\(193\) 2.60044 + 4.50410i 0.187184 + 0.324212i 0.944310 0.329056i \(-0.106731\pi\)
−0.757126 + 0.653268i \(0.773397\pi\)
\(194\) −5.78125 20.8180i −0.415070 1.49465i
\(195\) 15.8770 10.1105i 1.13697 0.724028i
\(196\) −7.40509 + 4.45653i −0.528935 + 0.318323i
\(197\) 2.94550 2.94550i 0.209858 0.209858i −0.594349 0.804207i \(-0.702590\pi\)
0.804207 + 0.594349i \(0.202590\pi\)
\(198\) 0.924385 0.0889812i 0.0656932 0.00632362i
\(199\) 2.57285 0.182384 0.0911921 0.995833i \(-0.470932\pi\)
0.0911921 + 0.995833i \(0.470932\pi\)
\(200\) 8.01806 + 26.9639i 0.566962 + 1.90663i
\(201\) 6.84046 + 6.27053i 0.482489 + 0.442289i
\(202\) −0.165287 0.0934382i −0.0116296 0.00657429i
\(203\) −1.83591 + 6.85170i −0.128856 + 0.480895i
\(204\) −6.54594 + 13.1460i −0.458307 + 0.920406i
\(205\) 3.40971 + 12.7252i 0.238145 + 0.888768i
\(206\) 11.2040 + 2.89334i 0.780620 + 0.201589i
\(207\) −10.4644 4.88449i −0.727327 0.339495i
\(208\) 10.9595 + 2.51395i 0.759906 + 0.174311i
\(209\) −0.301228 0.173914i −0.0208364 0.0120299i
\(210\) 28.3922 + 14.4608i 1.95925 + 0.997889i
\(211\) −4.70786 + 17.5700i −0.324103 + 1.20957i 0.591108 + 0.806592i \(0.298691\pi\)
−0.915211 + 0.402975i \(0.867976\pi\)
\(212\) −15.4383 14.8876i −1.06031 1.02248i
\(213\) 11.5770 + 6.02940i 0.793242 + 0.413127i
\(214\) 16.5761 0.150495i 1.13312 0.0102876i
\(215\) 18.7704i 1.28013i
\(216\) 11.8943 + 8.63288i 0.809302 + 0.587393i
\(217\) 28.0206i 1.90216i
\(218\) 0.114626 + 12.6253i 0.00776344 + 0.855093i
\(219\) −4.95647 2.58138i −0.334927 0.174433i
\(220\) −0.0307286 1.69214i −0.00207172 0.114084i
\(221\) 3.08436 11.5110i 0.207476 0.774312i
\(222\) −4.19085 + 8.22829i −0.281271 + 0.552246i
\(223\) −2.82059 1.62847i −0.188881 0.109050i 0.402578 0.915386i \(-0.368114\pi\)
−0.591458 + 0.806336i \(0.701448\pi\)
\(224\) 5.75551 + 18.1427i 0.384556 + 1.21221i
\(225\) −2.58916 29.7246i −0.172610 1.98164i
\(226\) −5.98432 + 23.1733i −0.398071 + 1.54147i
\(227\) −2.36663 8.83238i −0.157079 0.586226i −0.998918 0.0464979i \(-0.985194\pi\)
0.841840 0.539728i \(-0.181473\pi\)
\(228\) −1.74936 5.21936i −0.115854 0.345661i
\(229\) 1.36053 5.07755i 0.0899061 0.335534i −0.906292 0.422652i \(-0.861099\pi\)
0.996198 + 0.0871183i \(0.0277658\pi\)
\(230\) −10.3571 + 18.3211i −0.682925 + 1.20806i
\(231\) −0.940338 0.861991i −0.0618697 0.0567148i
\(232\) 5.24322 + 2.83967i 0.344234 + 0.186433i
\(233\) −14.1506 −0.927034 −0.463517 0.886088i \(-0.653413\pi\)
−0.463517 + 0.886088i \(0.653413\pi\)
\(234\) −10.8523 4.94604i −0.709435 0.323333i
\(235\) −12.8480 + 12.8480i −0.838114 + 0.838114i
\(236\) 10.7363 + 2.66883i 0.698875 + 0.173726i
\(237\) −8.41110 + 5.35621i −0.546360 + 0.347923i
\(238\) 19.4372 5.39779i 1.25993 0.349886i
\(239\) 7.51536 + 13.0170i 0.486128 + 0.841999i 0.999873 0.0159444i \(-0.00507546\pi\)
−0.513745 + 0.857943i \(0.671742\pi\)
\(240\) 17.3701 20.3881i 1.12124 1.31604i
\(241\) 7.18920 12.4521i 0.463097 0.802108i −0.536016 0.844208i \(-0.680071\pi\)
0.999113 + 0.0420996i \(0.0134047\pi\)
\(242\) 3.87275 14.9966i 0.248950 0.964019i
\(243\) −10.5205 11.5030i −0.674888 0.737921i
\(244\) −17.3116 + 4.97723i −1.10826 + 0.318635i
\(245\) −4.32388 16.1369i −0.276242 1.03095i
\(246\) 5.58434 6.20405i 0.356044 0.395556i
\(247\) 2.23348 + 3.86850i 0.142113 + 0.246147i
\(248\) 22.9095 + 5.47448i 1.45475 + 0.347630i
\(249\) −7.88815 1.75034i −0.499891 0.110923i
\(250\) −27.0387 + 0.245486i −1.71007 + 0.0155259i
\(251\) 3.59758 + 3.59758i 0.227077 + 0.227077i 0.811471 0.584393i \(-0.198667\pi\)
−0.584393 + 0.811471i \(0.698667\pi\)
\(252\) −2.11675 20.0770i −0.133342 1.26473i
\(253\) 0.595798 0.595798i 0.0374575 0.0374575i
\(254\) 13.5240 + 13.2806i 0.848569 + 0.833299i
\(255\) −20.9255 19.1820i −1.31041 1.20122i
\(256\) 15.9578 1.16107i 0.997364 0.0725667i
\(257\) −4.92640 + 2.84426i −0.307300 + 0.177420i −0.645718 0.763576i \(-0.723442\pi\)
0.338418 + 0.940996i \(0.390108\pi\)
\(258\) −9.97325 + 6.47899i −0.620907 + 0.403365i
\(259\) 12.2521 3.28294i 0.761307 0.203992i
\(260\) −10.5238 + 19.0171i −0.652661 + 1.17939i
\(261\) −4.84331 4.06716i −0.299793 0.251751i
\(262\) −0.798004 + 0.470439i −0.0493008 + 0.0290638i
\(263\) 18.8392 + 10.8768i 1.16167 + 0.670693i 0.951705 0.307015i \(-0.0993300\pi\)
0.209970 + 0.977708i \(0.432663\pi\)
\(264\) −0.888475 + 0.600404i −0.0546819 + 0.0369523i
\(265\) 35.9028 20.7285i 2.20549 1.27334i
\(266\) −3.72115 + 6.58252i −0.228158 + 0.403600i
\(267\) −2.36945 + 4.54955i −0.145008 + 0.278428i
\(268\) −10.3987 2.58491i −0.635203 0.157899i
\(269\) 7.43467 + 7.43467i 0.453300 + 0.453300i 0.896448 0.443148i \(-0.146139\pi\)
−0.443148 + 0.896448i \(0.646139\pi\)
\(270\) −22.3904 + 17.4854i −1.36264 + 1.06413i
\(271\) 11.8875i 0.722111i −0.932544 0.361056i \(-0.882416\pi\)
0.932544 0.361056i \(-0.117584\pi\)
\(272\) −0.615680 16.9463i −0.0373311 1.02752i
\(273\) 4.92329 + 15.6251i 0.297971 + 0.945673i
\(274\) −7.96403 28.6781i −0.481125 1.73251i
\(275\) 2.10281 + 0.563445i 0.126804 + 0.0339770i
\(276\) 13.3095 0.820907i 0.801137 0.0494128i
\(277\) −10.0081 + 2.68166i −0.601329 + 0.161126i −0.546626 0.837377i \(-0.684088\pi\)
−0.0547032 + 0.998503i \(0.517421\pi\)
\(278\) −8.12750 + 4.79132i −0.487455 + 0.287364i
\(279\) −22.6385 10.5670i −1.35533 0.632631i
\(280\) −36.7783 + 1.00196i −2.19792 + 0.0598784i
\(281\) 7.05630 12.2219i 0.420944 0.729096i −0.575088 0.818091i \(-0.695032\pi\)
0.996032 + 0.0889955i \(0.0283657\pi\)
\(282\) 11.2613 + 2.39176i 0.670600 + 0.142427i
\(283\) −12.7951 3.42843i −0.760588 0.203799i −0.142378 0.989812i \(-0.545475\pi\)
−0.618209 + 0.786013i \(0.712142\pi\)
\(284\) −15.0698 + 0.273662i −0.894227 + 0.0162388i
\(285\) 10.6305 0.462109i 0.629697 0.0273730i
\(286\) 0.609688 0.620860i 0.0360516 0.0367122i
\(287\) −11.4660 −0.676817
\(288\) −16.8284 2.19188i −0.991624 0.129158i
\(289\) −0.972286 −0.0571933
\(290\) −8.07580 + 8.22378i −0.474227 + 0.482917i
\(291\) −14.2136 22.3203i −0.833216 1.30844i
\(292\) 6.45186 0.117163i 0.377566 0.00685646i
\(293\) 29.7073 + 7.96005i 1.73552 + 0.465031i 0.981443 0.191756i \(-0.0614181\pi\)
0.754077 + 0.656787i \(0.228085\pi\)
\(294\) −7.08153 + 7.86740i −0.413003 + 0.458836i
\(295\) −10.6924 + 18.5197i −0.622533 + 1.07826i
\(296\) −0.290375 10.6586i −0.0168777 0.619520i
\(297\) 1.05104 0.434652i 0.0609875 0.0252210i
\(298\) 27.2143 16.0434i 1.57648 0.929368i
\(299\) −10.4522 + 2.80065i −0.604463 + 0.161965i
\(300\) 19.0306 + 28.7201i 1.09873 + 1.65815i
\(301\) 15.7800 + 4.22825i 0.909546 + 0.243712i
\(302\) −7.54936 27.1849i −0.434417 1.56432i
\(303\) −0.227020 0.0503746i −0.0130420 0.00289395i
\(304\) 4.65481 + 4.32844i 0.266972 + 0.248253i
\(305\) 34.8187i 1.99371i
\(306\) −2.96908 + 17.7394i −0.169731 + 1.01409i
\(307\) 23.8109 + 23.8109i 1.35896 + 1.35896i 0.875202 + 0.483758i \(0.160728\pi\)
0.483758 + 0.875202i \(0.339272\pi\)
\(308\) 1.42948 + 0.355341i 0.0814523 + 0.0202474i
\(309\) 14.1588 0.615486i 0.805469 0.0350138i
\(310\) −22.4063 + 39.6356i −1.27259 + 2.25115i
\(311\) −9.20941 + 5.31706i −0.522218 + 0.301503i −0.737842 0.674974i \(-0.764155\pi\)
0.215624 + 0.976477i \(0.430822\pi\)
\(312\) 13.7368 0.972529i 0.777695 0.0550586i
\(313\) −16.4634 9.50514i −0.930565 0.537262i −0.0435750 0.999050i \(-0.513875\pi\)
−0.886990 + 0.461788i \(0.847208\pi\)
\(314\) 18.1548 10.7026i 1.02453 0.603982i
\(315\) 38.4283 + 6.79104i 2.16519 + 0.382632i
\(316\) 5.57519 10.0746i 0.313629 0.566742i
\(317\) −11.8751 + 3.18193i −0.666972 + 0.178715i −0.576391 0.817174i \(-0.695539\pi\)
−0.0905818 + 0.995889i \(0.528873\pi\)
\(318\) −23.4063 11.9213i −1.31256 0.668514i
\(319\) 0.399628 0.230725i 0.0223749 0.0129181i
\(320\) −6.36631 + 30.2654i −0.355887 + 1.69189i
\(321\) 19.3638 6.10132i 1.08078 0.340543i
\(322\) −13.0693 12.8341i −0.728322 0.715216i
\(323\) 4.76356 4.76356i 0.265052 0.265052i
\(324\) 17.0190 + 5.86121i 0.945500 + 0.325623i
\(325\) −19.7692 19.7692i −1.09660 1.09660i
\(326\) 8.71496 0.0791237i 0.482677 0.00438226i
\(327\) 4.64712 + 14.7486i 0.256987 + 0.815599i
\(328\) −2.24015 + 9.37453i −0.123692 + 0.517622i
\(329\) −7.90701 13.6953i −0.435928 0.755049i
\(330\) −0.640843 1.97123i −0.0352773 0.108513i
\(331\) −8.94844 33.3960i −0.491851 1.83561i −0.546998 0.837134i \(-0.684229\pi\)
0.0551468 0.998478i \(-0.482437\pi\)
\(332\) 8.96675 2.57801i 0.492114 0.141487i
\(333\) −1.96809 + 11.1368i −0.107851 + 0.610293i
\(334\) 4.85696 18.8078i 0.265761 1.02912i
\(335\) 10.3561 17.9374i 0.565817 0.980023i
\(336\) 13.2272 + 19.1955i 0.721600 + 1.04720i
\(337\) −14.3693 24.8884i −0.782746 1.35576i −0.930336 0.366707i \(-0.880485\pi\)
0.147591 0.989049i \(-0.452848\pi\)
\(338\) 6.94685 1.92917i 0.377859 0.104933i
\(339\) 1.27301 + 29.2848i 0.0691406 + 1.59053i
\(340\) 31.8105 + 7.90745i 1.72517 + 0.428842i
\(341\) 1.28894 1.28894i 0.0698001 0.0698001i
\(342\) −3.91487 5.48878i −0.211692 0.296799i
\(343\) −9.01293 −0.486653
\(344\) 6.53999 12.0756i 0.352612 0.651071i
\(345\) −5.58372 + 25.1639i −0.300617 + 1.35478i
\(346\) −3.77793 + 6.68297i −0.203103 + 0.359278i
\(347\) −2.92992 + 10.9346i −0.157287 + 0.587002i 0.841612 + 0.540082i \(0.181607\pi\)
−0.998899 + 0.0469191i \(0.985060\pi\)
\(348\) 7.15706 + 1.45229i 0.383659 + 0.0778509i
\(349\) −2.90715 10.8496i −0.155616 0.580767i −0.999052 0.0435372i \(-0.986137\pi\)
0.843436 0.537230i \(-0.180529\pi\)
\(350\) 11.8334 45.8228i 0.632520 2.44933i
\(351\) −14.4805 1.91482i −0.772914 0.102205i
\(352\) 0.569807 1.09931i 0.0303708 0.0585935i
\(353\) 1.85946 + 1.07356i 0.0989689 + 0.0571397i 0.548668 0.836041i \(-0.315135\pi\)
−0.449699 + 0.893180i \(0.648469\pi\)
\(354\) 13.5307 0.711310i 0.719151 0.0378057i
\(355\) 7.54056 28.1417i 0.400211 1.49361i
\(356\) −0.107544 5.92216i −0.00569983 0.313874i
\(357\) 20.8398 13.2708i 1.10296 0.702366i
\(358\) −0.00690217 0.760229i −0.000364791 0.0401793i
\(359\) 11.0166i 0.581435i 0.956809 + 0.290718i \(0.0938941\pi\)
−0.956809 + 0.290718i \(0.906106\pi\)
\(360\) 13.0602 30.0919i 0.688332 1.58598i
\(361\) 16.4748i 0.867097i
\(362\) 9.97944 0.0906039i 0.524508 0.00476204i
\(363\) −0.823831 18.9517i −0.0432399 0.994705i
\(364\) −13.6168 13.1311i −0.713714 0.688255i
\(365\) −3.22835 + 12.0484i −0.168980 + 0.630641i
\(366\) −18.5002 + 12.0184i −0.967020 + 0.628212i
\(367\) 20.1365 + 11.6258i 1.05112 + 0.606863i 0.922962 0.384891i \(-0.125761\pi\)
0.128156 + 0.991754i \(0.459094\pi\)
\(368\) −13.0465 + 8.17791i −0.680094 + 0.426303i
\(369\) 4.32402 9.26366i 0.225099 0.482247i
\(370\) 19.9559 + 5.15345i 1.03746 + 0.267915i
\(371\) 9.33867 + 34.8524i 0.484839 + 1.80945i
\(372\) 28.7935 1.77594i 1.49287 0.0920781i
\(373\) −2.66079 + 9.93021i −0.137771 + 0.514167i 0.862201 + 0.506567i \(0.169086\pi\)
−0.999971 + 0.00759967i \(0.997581\pi\)
\(374\) −1.14240 0.645810i −0.0590723 0.0333940i
\(375\) −31.5860 + 9.95240i −1.63109 + 0.513940i
\(376\) −12.7420 + 3.78901i −0.657121 + 0.195404i
\(377\) −5.92615 −0.305212
\(378\) −9.65605 22.7621i −0.496653 1.17076i
\(379\) −6.14819 + 6.14819i −0.315811 + 0.315811i −0.847156 0.531345i \(-0.821687\pi\)
0.531345 + 0.847156i \(0.321687\pi\)
\(380\) −10.5273 + 6.33551i −0.540037 + 0.325005i
\(381\) 20.5894 + 10.7231i 1.05483 + 0.549363i
\(382\) 4.09105 + 14.7317i 0.209316 + 0.753740i
\(383\) 1.40170 + 2.42782i 0.0716238 + 0.124056i 0.899613 0.436688i \(-0.143849\pi\)
−0.827989 + 0.560744i \(0.810515\pi\)
\(384\) 18.2783 7.06414i 0.932763 0.360491i
\(385\) −1.42363 + 2.46580i −0.0725548 + 0.125669i
\(386\) −7.12153 1.83908i −0.362476 0.0936066i
\(387\) −9.36701 + 11.1545i −0.476152 + 0.567017i
\(388\) 26.7347 + 14.7947i 1.35725 + 0.751086i
\(389\) 7.82350 + 29.1977i 0.396667 + 1.48038i 0.818922 + 0.573905i \(0.194572\pi\)
−0.422255 + 0.906477i \(0.638761\pi\)
\(390\) −5.53031 + 26.0388i −0.280038 + 1.31852i
\(391\) 8.15956 + 14.1328i 0.412647 + 0.714725i
\(392\) 2.84075 11.8879i 0.143480 0.600430i
\(393\) −0.766644 + 0.836325i −0.0386721 + 0.0421870i
\(394\) 0.0534825 + 5.89075i 0.00269441 + 0.296772i
\(395\) 15.7382 + 15.7382i 0.791873 + 0.791873i
\(396\) −0.826169 + 1.02091i −0.0415166 + 0.0513026i
\(397\) 1.95789 1.95789i 0.0982636 0.0982636i −0.656266 0.754530i \(-0.727865\pi\)
0.754530 + 0.656266i \(0.227865\pi\)
\(398\) −2.54938 + 2.59610i −0.127789 + 0.130131i
\(399\) −2.00615 + 9.04103i −0.100433 + 0.452617i
\(400\) −35.1525 18.6274i −1.75762 0.931372i
\(401\) −28.7356 + 16.5905i −1.43499 + 0.828489i −0.997495 0.0707337i \(-0.977466\pi\)
−0.437490 + 0.899223i \(0.644133\pi\)
\(402\) −13.1053 + 0.688943i −0.653632 + 0.0343613i
\(403\) −22.6120 + 6.05887i −1.12638 + 0.301814i
\(404\) 0.258063 0.0741950i 0.0128391 0.00369134i
\(405\) −19.9786 + 28.4861i −0.992743 + 1.41549i
\(406\) −5.09446 8.64172i −0.252834 0.428881i
\(407\) −0.714607 0.412578i −0.0354217 0.0204508i
\(408\) −6.77860 19.6312i −0.335591 0.971891i
\(409\) 22.8959 13.2190i 1.13213 0.653636i 0.187660 0.982234i \(-0.439910\pi\)
0.944470 + 0.328598i \(0.106576\pi\)
\(410\) −16.2188 9.16864i −0.800991 0.452807i
\(411\) −19.5801 30.7475i −0.965816 1.51666i
\(412\) −14.0213 + 8.43831i −0.690781 + 0.415725i
\(413\) −13.1607 13.1607i −0.647596 0.647596i
\(414\) 15.2976 5.71904i 0.751836 0.281075i
\(415\) 18.0347i 0.885290i
\(416\) −13.3962 + 8.56755i −0.656805 + 0.420059i
\(417\) −7.80811 + 8.51780i −0.382365 + 0.417118i
\(418\) 0.473966 0.131622i 0.0231824 0.00643785i
\(419\) −0.499479 0.133835i −0.0244012 0.00653827i 0.246598 0.969118i \(-0.420687\pi\)
−0.270999 + 0.962580i \(0.587354\pi\)
\(420\) −42.7248 + 14.3199i −2.08476 + 0.698741i
\(421\) 12.8514 3.44352i 0.626339 0.167827i 0.0683313 0.997663i \(-0.478233\pi\)
0.558008 + 0.829836i \(0.311566\pi\)
\(422\) −13.0638 22.1601i −0.635938 1.07874i
\(423\) 14.0467 1.22353i 0.682972 0.0594902i
\(424\) 30.3196 0.826002i 1.47245 0.0401142i
\(425\) −21.0818 + 36.5148i −1.02262 + 1.77123i
\(426\) −17.5553 + 5.70720i −0.850556 + 0.276515i
\(427\) 29.2717 + 7.84332i 1.41655 + 0.379565i
\(428\) −16.2730 + 16.8750i −0.786586 + 0.815683i
\(429\) 0.492279 0.945220i 0.0237675 0.0456356i
\(430\) 18.9400 + 18.5992i 0.913370 + 0.896934i
\(431\) −8.61129 −0.414791 −0.207396 0.978257i \(-0.566499\pi\)
−0.207396 + 0.978257i \(0.566499\pi\)
\(432\) −20.4967 + 3.44761i −0.986147 + 0.165873i
\(433\) 6.43973 0.309474 0.154737 0.987956i \(-0.450547\pi\)
0.154737 + 0.987956i \(0.450547\pi\)
\(434\) −28.2738 27.7651i −1.35719 1.33277i
\(435\) −6.52063 + 12.5202i −0.312640 + 0.600297i
\(436\) −12.8530 12.3945i −0.615546 0.593588i
\(437\) −5.90859 1.58320i −0.282646 0.0757348i
\(438\) 7.51598 2.44343i 0.359127 0.116752i
\(439\) 14.4510 25.0298i 0.689707 1.19461i −0.282225 0.959348i \(-0.591073\pi\)
0.971933 0.235260i \(-0.0755941\pi\)
\(440\) 1.73788 + 1.64570i 0.0828502 + 0.0784557i
\(441\) −5.48331 + 11.7473i −0.261110 + 0.559396i
\(442\) 8.55878 + 14.5182i 0.407100 + 0.690562i
\(443\) −31.1860 + 8.35627i −1.48169 + 0.397018i −0.906923 0.421297i \(-0.861575\pi\)
−0.574770 + 0.818315i \(0.694908\pi\)
\(444\) −4.15002 12.3820i −0.196951 0.587622i
\(445\) 11.0592 + 2.96330i 0.524257 + 0.140474i
\(446\) 4.43805 1.23246i 0.210148 0.0583588i
\(447\) 26.1449 28.5212i 1.23661 1.34901i
\(448\) −24.0097 12.1697i −1.13435 0.574964i
\(449\) 10.7097i 0.505423i 0.967542 + 0.252711i \(0.0813223\pi\)
−0.967542 + 0.252711i \(0.918678\pi\)
\(450\) 32.5588 + 26.8410i 1.53484 + 1.26530i
\(451\) 0.527433 + 0.527433i 0.0248359 + 0.0248359i
\(452\) −17.4530 29.0004i −0.820920 1.36406i
\(453\) −18.5606 29.1466i −0.872054 1.36943i
\(454\) 11.2572 + 6.36381i 0.528329 + 0.298668i
\(455\) 31.6669 18.2829i 1.48457 0.857114i
\(456\) 6.99993 + 3.40660i 0.327802 + 0.159528i
\(457\) 13.1358 + 7.58393i 0.614465 + 0.354761i 0.774711 0.632316i \(-0.217895\pi\)
−0.160246 + 0.987077i \(0.551229\pi\)
\(458\) 3.77532 + 6.40406i 0.176409 + 0.299242i
\(459\) 2.86281 + 21.8416i 0.133624 + 1.01948i
\(460\) −8.22407 28.6047i −0.383449 1.33370i
\(461\) −11.5696 + 3.10006i −0.538849 + 0.144384i −0.517971 0.855398i \(-0.673313\pi\)
−0.0208774 + 0.999782i \(0.506646\pi\)
\(462\) 1.80154 0.0947069i 0.0838154 0.00440617i
\(463\) −2.03363 + 1.17412i −0.0945107 + 0.0545658i −0.546510 0.837452i \(-0.684044\pi\)
0.452000 + 0.892018i \(0.350711\pi\)
\(464\) −8.06073 + 2.47684i −0.374210 + 0.114984i
\(465\) −12.0797 + 54.4391i −0.560184 + 2.52455i
\(466\) 14.0215 14.2784i 0.649534 0.661436i
\(467\) 24.1509 24.1509i 1.11757 1.11757i 0.125473 0.992097i \(-0.459955\pi\)
0.992097 0.125473i \(-0.0400449\pi\)
\(468\) 15.7440 6.04941i 0.727768 0.279634i
\(469\) 12.7469 + 12.7469i 0.588596 + 0.588596i
\(470\) −0.233287 25.6950i −0.0107607 1.18522i
\(471\) 17.4413 19.0266i 0.803654 0.876700i
\(472\) −13.3314 + 8.18886i −0.613626 + 0.376923i
\(473\) −0.531379 0.920376i −0.0244328 0.0423189i
\(474\) 2.92978 13.7945i 0.134569 0.633601i
\(475\) −4.09051 15.2660i −0.187685 0.700452i
\(476\) −13.8134 + 24.9614i −0.633135 + 1.14410i
\(477\) −31.6799 5.59846i −1.45052 0.256336i
\(478\) −20.5814 5.31499i −0.941373 0.243102i
\(479\) −2.40917 + 4.17281i −0.110078 + 0.190660i −0.915801 0.401631i \(-0.868443\pi\)
0.805724 + 0.592292i \(0.201777\pi\)
\(480\) 3.36059 + 37.7292i 0.153389 + 1.72210i
\(481\) 5.29851 + 9.17730i 0.241591 + 0.418449i
\(482\) 5.44096 + 19.5927i 0.247829 + 0.892422i
\(483\) −19.8971 10.3626i −0.905351 0.471515i
\(484\) 11.2947 + 18.7676i 0.513396 + 0.853072i
\(485\) −41.7638 + 41.7638i −1.89640 + 1.89640i
\(486\) 22.0315 + 0.782600i 0.999370 + 0.0354995i
\(487\) 37.5042 1.69948 0.849739 0.527204i \(-0.176760\pi\)
0.849739 + 0.527204i \(0.176760\pi\)
\(488\) 12.1315 22.3999i 0.549169 1.01400i
\(489\) 10.1806 3.20781i 0.460384 0.145062i
\(490\) 20.5672 + 11.6268i 0.929132 + 0.525246i
\(491\) −0.504576 + 1.88310i −0.0227712 + 0.0849832i −0.976376 0.216077i \(-0.930674\pi\)
0.953605 + 0.301060i \(0.0973405\pi\)
\(492\) 0.726712 + 11.7823i 0.0327627 + 0.531186i
\(493\) 2.31315 + 8.63279i 0.104179 + 0.388801i
\(494\) −6.11657 1.57955i −0.275198 0.0710675i
\(495\) −1.45530 2.08008i −0.0654111 0.0934925i
\(496\) −28.2245 + 17.6920i −1.26732 + 0.794392i
\(497\) 21.9598 + 12.6785i 0.985032 + 0.568708i
\(498\) 9.58236 6.22506i 0.429396 0.278952i
\(499\) −2.91509 + 10.8793i −0.130497 + 0.487023i −0.999976 0.00694794i \(-0.997788\pi\)
0.869478 + 0.493971i \(0.164455\pi\)
\(500\) 26.5444 27.5263i 1.18710 1.23101i
\(501\) −1.03320 23.7680i −0.0461598 1.06187i
\(502\) −7.19487 + 0.0653226i −0.321123 + 0.00291549i
\(503\) 15.3339i 0.683706i −0.939753 0.341853i \(-0.888945\pi\)
0.939753 0.341853i \(-0.111055\pi\)
\(504\) 22.3559 + 17.7581i 0.995812 + 0.791007i
\(505\) 0.519039i 0.0230969i
\(506\) 0.0108181 + 1.19155i 0.000480925 + 0.0529708i
\(507\) 7.44813 4.74299i 0.330783 0.210644i
\(508\) −26.8012 + 0.486700i −1.18911 + 0.0215938i
\(509\) 8.59758 32.0866i 0.381081 1.42221i −0.463172 0.886269i \(-0.653289\pi\)
0.844253 0.535945i \(-0.180045\pi\)
\(510\) 40.0900 2.10753i 1.77522 0.0933229i
\(511\) −9.40169 5.42807i −0.415906 0.240124i
\(512\) −14.6407 + 17.2525i −0.647035 + 0.762461i
\(513\) −6.54791 5.03034i −0.289097 0.222095i
\(514\) 2.01151 7.78924i 0.0887238 0.343568i
\(515\) −8.18713 30.5548i −0.360768 1.34641i
\(516\) 3.34474 16.4833i 0.147244 0.725636i
\(517\) −0.266262 + 0.993703i −0.0117102 + 0.0437030i
\(518\) −8.82774 + 15.6158i −0.387869 + 0.686119i
\(519\) −2.03677 + 9.17899i −0.0894042 + 0.402913i
\(520\) −8.76109 29.4626i −0.384199 1.29202i
\(521\) 20.5032 0.898262 0.449131 0.893466i \(-0.351734\pi\)
0.449131 + 0.893466i \(0.351734\pi\)
\(522\) 8.90306 0.857008i 0.389676 0.0375102i
\(523\) −29.2406 + 29.2406i −1.27860 + 1.27860i −0.337151 + 0.941451i \(0.609463\pi\)
−0.941451 + 0.337151i \(0.890537\pi\)
\(524\) 0.316036 1.27136i 0.0138061 0.0555398i
\(525\) −2.51725 57.9076i −0.109862 2.52730i
\(526\) −29.6425 + 8.23184i −1.29247 + 0.358925i
\(527\) 17.6523 + 30.5746i 0.768944 + 1.33185i
\(528\) 0.274542 1.49143i 0.0119479 0.0649063i
\(529\) −4.09099 + 7.08581i −0.177869 + 0.308079i
\(530\) −14.6596 + 56.7668i −0.636771 + 2.46579i
\(531\) 15.5960 5.66974i 0.676808 0.246046i
\(532\) −2.95479 10.2773i −0.128107 0.445576i
\(533\) −2.47928 9.25281i −0.107390 0.400784i
\(534\) −2.24283 6.89892i −0.0970566 0.298545i
\(535\) −22.6575 39.2440i −0.979570 1.69667i
\(536\) 12.9122 7.93136i 0.557720 0.342583i
\(537\) −0.279825 0.888083i −0.0120754 0.0383236i
\(538\) −14.8687 + 0.134994i −0.641036 + 0.00582001i
\(539\) −0.668841 0.668841i −0.0288090 0.0288090i
\(540\) 4.54279 39.9187i 0.195490 1.71783i
\(541\) 20.5836 20.5836i 0.884956 0.884956i −0.109077 0.994033i \(-0.534790\pi\)
0.994033 + 0.109077i \(0.0347895\pi\)
\(542\) 11.9949 + 11.7790i 0.515224 + 0.505953i
\(543\) 11.6578 3.67324i 0.500282 0.157634i
\(544\) 17.7095 + 16.1705i 0.759290 + 0.693305i
\(545\) 29.8905 17.2573i 1.28037 0.739221i
\(546\) −20.6447 10.5148i −0.883511 0.449991i
\(547\) −38.0779 + 10.2029i −1.62809 + 0.436246i −0.953365 0.301821i \(-0.902406\pi\)
−0.674728 + 0.738067i \(0.735739\pi\)
\(548\) 36.8287 + 20.3806i 1.57324 + 0.870616i
\(549\) −17.3756 + 20.6914i −0.741574 + 0.883089i
\(550\) −2.65217 + 1.56350i −0.113089 + 0.0666680i
\(551\) −2.90122 1.67502i −0.123596 0.0713584i
\(552\) −12.3598 + 14.2432i −0.526067 + 0.606230i
\(553\) −16.7761 + 9.68566i −0.713391 + 0.411876i
\(554\) 7.21093 12.7558i 0.306363 0.541940i
\(555\) 25.2189 1.09627i 1.07048 0.0465340i
\(556\) 3.21876 12.9486i 0.136506 0.549142i
\(557\) 1.52288 + 1.52288i 0.0645265 + 0.0645265i 0.738634 0.674107i \(-0.235471\pi\)
−0.674107 + 0.738634i \(0.735471\pi\)
\(558\) 33.0946 12.3725i 1.40101 0.523769i
\(559\) 13.6484i 0.577266i
\(560\) 35.4318 38.1035i 1.49727 1.61017i
\(561\) −1.56908 0.348170i −0.0662466 0.0146998i
\(562\) 5.34038 + 19.2305i 0.225270 + 0.811189i
\(563\) −4.85715 1.30147i −0.204705 0.0548504i 0.155010 0.987913i \(-0.450459\pi\)
−0.359714 + 0.933063i \(0.617126\pi\)
\(564\) −13.5720 + 8.99312i −0.571483 + 0.378679i
\(565\) 63.1966 16.9335i 2.65870 0.712397i
\(566\) 16.1378 9.51354i 0.678322 0.399884i
\(567\) −19.4475 23.2126i −0.816719 0.974836i
\(568\) 14.6562 15.4771i 0.614961 0.649407i
\(569\) 17.4710 30.2606i 0.732421 1.26859i −0.223425 0.974721i \(-0.571724\pi\)
0.955846 0.293869i \(-0.0949430\pi\)
\(570\) −10.0673 + 11.1845i −0.421672 + 0.468466i
\(571\) 34.1869 + 9.16034i 1.43068 + 0.383348i 0.889258 0.457406i \(-0.151221\pi\)
0.541417 + 0.840754i \(0.317888\pi\)
\(572\) 0.0223435 + 1.23040i 0.000934229 + 0.0514454i
\(573\) 10.0581 + 15.7947i 0.420185 + 0.659835i
\(574\) 11.3614 11.5696i 0.474217 0.482907i
\(575\) 38.2852 1.59660
\(576\) 18.8866 14.8086i 0.786943 0.617025i
\(577\) −17.4865 −0.727972 −0.363986 0.931404i \(-0.618584\pi\)
−0.363986 + 0.931404i \(0.618584\pi\)
\(578\) 0.963419 0.981073i 0.0400730 0.0408073i
\(579\) −8.99970 + 0.391218i −0.374015 + 0.0162584i
\(580\) −0.295958 16.2976i −0.0122890 0.676719i
\(581\) −15.1616 4.06253i −0.629008 0.168542i
\(582\) 36.6060 + 7.77465i 1.51737 + 0.322270i
\(583\) 1.17362 2.03278i 0.0486065 0.0841890i
\(584\) −6.27479 + 6.62626i −0.259653 + 0.274197i
\(585\) 2.82909 + 32.4792i 0.116969 + 1.34285i
\(586\) −37.4684 + 22.0883i −1.54780 + 0.912461i
\(587\) 12.3561 3.31081i 0.509991 0.136652i 0.00535825 0.999986i \(-0.498294\pi\)
0.504633 + 0.863334i \(0.331628\pi\)
\(588\) −0.921548 14.9412i −0.0380040 0.616164i
\(589\) −12.7825 3.42507i −0.526696 0.141128i
\(590\) −8.09224 29.1398i −0.333152 1.19967i
\(591\) 2.16827 + 6.88145i 0.0891907 + 0.283065i
\(592\) 11.0427 + 10.2684i 0.453851 + 0.422029i
\(593\) 25.7816i 1.05872i 0.848397 + 0.529361i \(0.177568\pi\)
−0.848397 + 0.529361i \(0.822432\pi\)
\(594\) −0.602875 + 1.49123i −0.0247363 + 0.0611858i
\(595\) −38.9937 38.9937i −1.59858 1.59858i
\(596\) −10.7778 + 43.3574i −0.441475 + 1.77599i
\(597\) −2.05844 + 3.95239i −0.0842465 + 0.161761i
\(598\) 7.53087 13.3217i 0.307960 0.544765i
\(599\) −27.3647 + 15.7990i −1.11809 + 0.645531i −0.940913 0.338647i \(-0.890031\pi\)
−0.177180 + 0.984179i \(0.556697\pi\)
\(600\) −47.8367 9.25553i −1.95293 0.377855i
\(601\) −23.3729 13.4944i −0.953401 0.550447i −0.0592656 0.998242i \(-0.518876\pi\)
−0.894136 + 0.447796i \(0.852209\pi\)
\(602\) −19.9026 + 11.7330i −0.811169 + 0.478200i
\(603\) −15.1056 + 5.49146i −0.615146 + 0.223630i
\(604\) 34.9111 + 19.3194i 1.42051 + 0.786097i
\(605\) −40.8977 + 10.9585i −1.66273 + 0.445527i
\(606\) 0.275780 0.179157i 0.0112028 0.00727776i
\(607\) 21.2314 12.2579i 0.861755 0.497534i −0.00284471 0.999996i \(-0.500905\pi\)
0.864600 + 0.502462i \(0.167572\pi\)
\(608\) −8.97992 + 0.407915i −0.364184 + 0.0165431i
\(609\) −9.05671 8.30212i −0.366996 0.336419i
\(610\) 35.1334 + 34.5012i 1.42251 + 1.39691i
\(611\) 9.34212 9.34212i 0.377942 0.377942i
\(612\) −14.9577 20.5735i −0.604629 0.831635i
\(613\) −30.3894 30.3894i −1.22742 1.22742i −0.964937 0.262481i \(-0.915459\pi\)
−0.262481 0.964937i \(-0.584541\pi\)
\(614\) −47.6198 + 0.432343i −1.92178 + 0.0174480i
\(615\) −22.2764 4.94301i −0.898272 0.199322i
\(616\) −1.77500 + 1.09030i −0.0715167 + 0.0439295i
\(617\) 15.8393 + 27.4345i 0.637668 + 1.10447i 0.985943 + 0.167081i \(0.0534341\pi\)
−0.348275 + 0.937392i \(0.613233\pi\)
\(618\) −13.4087 + 14.8967i −0.539376 + 0.599232i
\(619\) 5.39413 + 20.1312i 0.216809 + 0.809141i 0.985522 + 0.169547i \(0.0542305\pi\)
−0.768713 + 0.639593i \(0.779103\pi\)
\(620\) −17.7918 61.8829i −0.714537 2.48528i
\(621\) 15.8757 12.1675i 0.637071 0.488264i
\(622\) 3.76031 14.5612i 0.150775 0.583851i
\(623\) −4.98242 + 8.62981i −0.199617 + 0.345746i
\(624\) −12.6302 + 14.8246i −0.505614 + 0.593461i
\(625\) 12.0944 + 20.9481i 0.483775 + 0.837923i
\(626\) 25.9043 7.19372i 1.03534 0.287519i
\(627\) 0.508167 0.323602i 0.0202943 0.0129234i
\(628\) −7.18989 + 28.9238i −0.286908 + 1.15419i
\(629\) 11.3007 11.3007i 0.450587 0.450587i
\(630\) −44.9302 + 32.0465i −1.79006 + 1.27676i
\(631\) −19.9953 −0.796002 −0.398001 0.917385i \(-0.630296\pi\)
−0.398001 + 0.917385i \(0.630296\pi\)
\(632\) 4.64134 + 15.6083i 0.184623 + 0.620866i
\(633\) −23.2243 21.2893i −0.923084 0.846174i
\(634\) 8.55612 15.1353i 0.339807 0.601101i
\(635\) 13.4107 50.0494i 0.532187 1.98615i
\(636\) 35.2218 11.8052i 1.39664 0.468106i
\(637\) 3.14400 + 11.7335i 0.124570 + 0.464900i
\(638\) −0.163173 + 0.631861i −0.00646008 + 0.0250156i
\(639\) −18.5247 + 12.9606i −0.732824 + 0.512713i
\(640\) −24.2307 36.4133i −0.957803 1.43936i
\(641\) 12.6976 + 7.33098i 0.501526 + 0.289556i 0.729344 0.684148i \(-0.239826\pi\)
−0.227818 + 0.973704i \(0.573159\pi\)
\(642\) −13.0307 + 25.5845i −0.514282 + 1.00974i
\(643\) −3.45056 + 12.8777i −0.136077 + 0.507846i 0.863914 + 0.503639i \(0.168006\pi\)
−0.999991 + 0.00420705i \(0.998661\pi\)
\(644\) 25.9002 0.470337i 1.02061 0.0185339i
\(645\) 28.8350 + 15.0175i 1.13538 + 0.591315i
\(646\) 0.0864938 + 9.52673i 0.00340305 + 0.374824i
\(647\) 30.5078i 1.19939i 0.800231 + 0.599693i \(0.204710\pi\)
−0.800231 + 0.599693i \(0.795290\pi\)
\(648\) −22.7780 + 11.3651i −0.894803 + 0.446461i
\(649\) 1.21078i 0.0475272i
\(650\) 39.5367 0.358956i 1.55076 0.0140794i
\(651\) −43.0451 22.4183i −1.68707 0.878642i
\(652\) −8.55564 + 8.87212i −0.335065 + 0.347459i
\(653\) 5.39824 20.1465i 0.211249 0.788394i −0.776204 0.630482i \(-0.782857\pi\)
0.987453 0.157912i \(-0.0504761\pi\)
\(654\) −19.4866 9.92496i −0.761987 0.388097i
\(655\) 2.19305 + 1.26616i 0.0856896 + 0.0494729i
\(656\) −7.23953 11.5494i −0.282656 0.450930i
\(657\) 7.93100 5.54884i 0.309418 0.216481i
\(658\) 21.6540 + 5.59198i 0.844162 + 0.217998i
\(659\) −3.90477 14.5728i −0.152108 0.567676i −0.999336 0.0364452i \(-0.988397\pi\)
0.847227 0.531230i \(-0.178270\pi\)
\(660\) 2.62404 + 1.30662i 0.102141 + 0.0508600i
\(661\) 2.44325 9.11835i 0.0950316 0.354663i −0.901993 0.431751i \(-0.857896\pi\)
0.997024 + 0.0770887i \(0.0245625\pi\)
\(662\) 42.5647 + 24.0622i 1.65432 + 0.935202i
\(663\) 15.2154 + 13.9477i 0.590918 + 0.541684i
\(664\) −6.28366 + 11.6023i −0.243853 + 0.450256i
\(665\) 20.6706 0.801570
\(666\) −9.28731 13.0211i −0.359876 0.504558i
\(667\) 5.73833 5.73833i 0.222189 0.222189i
\(668\) 14.1651 + 23.5371i 0.548064 + 0.910678i
\(669\) 4.75830 3.03010i 0.183966 0.117150i
\(670\) 7.83778 + 28.2235i 0.302800 + 1.09037i
\(671\) −0.985698 1.70728i −0.0380525 0.0659088i
\(672\) −32.4755 5.67374i −1.25277 0.218869i
\(673\) −16.1140 + 27.9103i −0.621149 + 1.07586i 0.368123 + 0.929777i \(0.380001\pi\)
−0.989272 + 0.146085i \(0.953333\pi\)
\(674\) 39.3516 + 10.1622i 1.51577 + 0.391434i
\(675\) 47.7343 + 19.8042i 1.83729 + 0.762263i
\(676\) −4.93689 + 8.92120i −0.189880 + 0.343123i
\(677\) −4.16296 15.5364i −0.159996 0.597111i −0.998626 0.0524101i \(-0.983310\pi\)
0.838630 0.544701i \(-0.183357\pi\)
\(678\) −30.8109 27.7332i −1.18328 1.06509i
\(679\) −25.7025 44.5181i −0.986372 1.70845i
\(680\) −39.4993 + 24.2626i −1.51473 + 0.930430i
\(681\) 15.4617 + 3.43087i 0.592494 + 0.131471i
\(682\) 0.0234038 + 2.57778i 0.000896177 + 0.0987081i
\(683\) −28.6734 28.6734i −1.09716 1.09716i −0.994742 0.102416i \(-0.967343\pi\)
−0.102416 0.994742i \(-0.532657\pi\)
\(684\) 9.41756 + 1.48847i 0.360089 + 0.0569132i
\(685\) −57.5322 + 57.5322i −2.19819 + 2.19819i
\(686\) 8.93074 9.09439i 0.340977 0.347225i
\(687\) 6.71160 + 6.15240i 0.256064 + 0.234729i
\(688\) 5.70435 + 18.5645i 0.217476 + 0.707766i
\(689\) −26.1058 + 15.0722i −0.994552 + 0.574205i
\(690\) −19.8585 30.5685i −0.755999 1.16372i
\(691\) 44.0504 11.8033i 1.67575 0.449017i 0.709102 0.705106i \(-0.249101\pi\)
0.966653 + 0.256089i \(0.0824340\pi\)
\(692\) −2.99988 10.4341i −0.114038 0.396645i
\(693\) 2.07652 0.754895i 0.0788804 0.0286761i
\(694\) −8.13025 13.7913i −0.308620 0.523511i
\(695\) 22.3358 + 12.8956i 0.847243 + 0.489156i
\(696\) −8.55720 + 5.78269i −0.324360 + 0.219192i
\(697\) −12.5111 + 7.22328i −0.473892 + 0.273601i
\(698\) 13.8283 + 7.81726i 0.523410 + 0.295888i
\(699\) 11.3214 21.7380i 0.428213 0.822208i
\(700\) 34.5115 + 57.3452i 1.30441 + 2.16744i
\(701\) −13.0178 13.0178i −0.491676 0.491676i 0.417158 0.908834i \(-0.363026\pi\)
−0.908834 + 0.417158i \(0.863026\pi\)
\(702\) 16.2806 12.7140i 0.614472 0.479861i
\(703\) 5.99049i 0.225935i
\(704\) 0.544635 + 1.66424i 0.0205267 + 0.0627235i
\(705\) −9.45784 30.0164i −0.356203 1.13048i
\(706\) −2.92576 + 0.812494i −0.110112 + 0.0305786i
\(707\) −0.436349 0.116919i −0.0164106 0.00439721i
\(708\) −12.6896 + 14.3578i −0.476905 + 0.539601i
\(709\) −16.3841 + 4.39011i −0.615319 + 0.164874i −0.552999 0.833182i \(-0.686517\pi\)
−0.0623199 + 0.998056i \(0.519850\pi\)
\(710\) 20.9243 + 35.4938i 0.785274 + 1.33206i
\(711\) −1.49876 17.2064i −0.0562079 0.645291i
\(712\) 6.08224 + 5.75963i 0.227942 + 0.215851i
\(713\) 16.0285 27.7622i 0.600273 1.03970i
\(714\) −7.25897 + 34.1779i −0.271660 + 1.27908i
\(715\) −2.29767 0.615660i −0.0859282 0.0230244i
\(716\) 0.773939 + 0.746331i 0.0289234 + 0.0278917i
\(717\) −26.0094 + 1.13063i −0.971339 + 0.0422242i
\(718\) −11.1162 10.9162i −0.414853 0.407387i
\(719\) −43.0731 −1.60635 −0.803177 0.595740i \(-0.796859\pi\)
−0.803177 + 0.595740i \(0.796859\pi\)
\(720\) 17.4228 + 42.9957i 0.649310 + 1.60235i
\(721\) 27.5313 1.02532
\(722\) 16.6237 + 16.3246i 0.618671 + 0.607538i
\(723\) 13.3770 + 21.0065i 0.497495 + 0.781240i
\(724\) −9.79700 + 10.1594i −0.364103 + 0.377571i
\(725\) 20.2528 + 5.42673i 0.752171 + 0.201544i
\(726\) 19.9393 + 17.9476i 0.740016 + 0.666097i
\(727\) 15.3101 26.5179i 0.567821 0.983495i −0.428960 0.903324i \(-0.641120\pi\)
0.996781 0.0801716i \(-0.0255468\pi\)
\(728\) 26.7424 0.728547i 0.991138 0.0270017i
\(729\) 26.0880 6.95830i 0.966221 0.257715i
\(730\) −8.95835 15.1960i −0.331563 0.562430i
\(731\) 19.8820 5.32737i 0.735363 0.197040i
\(732\) 6.20443 30.5762i 0.229322 1.13013i
\(733\) −2.53658 0.679676i −0.0936909 0.0251044i 0.211669 0.977341i \(-0.432110\pi\)
−0.305360 + 0.952237i \(0.598777\pi\)
\(734\) −31.6838 + 8.79870i −1.16947 + 0.324766i
\(735\) 28.2489 + 6.26827i 1.04197 + 0.231209i
\(736\) 4.67566 21.2677i 0.172347 0.783937i
\(737\) 1.17271i 0.0431972i
\(738\) 5.06280 + 13.5423i 0.186364 + 0.498498i
\(739\) 13.1402 + 13.1402i 0.483370 + 0.483370i 0.906206 0.422836i \(-0.138965\pi\)
−0.422836 + 0.906206i \(0.638965\pi\)
\(740\) −24.9739 + 15.0298i −0.918061 + 0.552507i
\(741\) −7.72970 + 0.336011i −0.283958 + 0.0123437i
\(742\) −44.4209 25.1115i −1.63074 0.921871i
\(743\) −1.79055 + 1.03378i −0.0656890 + 0.0379255i −0.532485 0.846440i \(-0.678742\pi\)
0.466796 + 0.884365i \(0.345408\pi\)
\(744\) −26.7389 + 30.8135i −0.980297 + 1.12968i
\(745\) −74.7897 43.1798i −2.74008 1.58199i
\(746\) −7.38343 12.5245i −0.270327 0.458554i
\(747\) 8.99989 10.7174i 0.329289 0.392127i
\(748\) 1.78363 0.512808i 0.0652160 0.0187501i
\(749\) 38.0958 10.2077i 1.39199 0.372982i
\(750\) 21.2556 41.7331i 0.776143 1.52388i
\(751\) 7.86676 4.54188i 0.287062 0.165735i −0.349554 0.936916i \(-0.613667\pi\)
0.636616 + 0.771181i \(0.280334\pi\)
\(752\) 8.80258 16.6117i 0.320997 0.605765i
\(753\) −8.40489 + 2.64829i −0.306291 + 0.0965091i
\(754\) 5.87211 5.97971i 0.213849 0.217768i
\(755\) −54.5367 + 54.5367i −1.98479 + 1.98479i
\(756\) 32.5358 + 12.8112i 1.18332 + 0.465939i
\(757\) 18.3910 + 18.3910i 0.668433 + 0.668433i 0.957353 0.288920i \(-0.0932961\pi\)
−0.288920 + 0.957353i \(0.593296\pi\)
\(758\) −0.111635 12.2959i −0.00405476 0.446606i
\(759\) 0.438586 + 1.39194i 0.0159196 + 0.0505242i
\(760\) 4.03848 16.9001i 0.146491 0.613032i
\(761\) 14.1080 + 24.4358i 0.511415 + 0.885797i 0.999912 + 0.0132318i \(0.00421194\pi\)
−0.488497 + 0.872565i \(0.662455\pi\)
\(762\) −31.2216 + 10.1501i −1.13104 + 0.367700i
\(763\) 7.77481 + 29.0160i 0.281467 + 1.05045i
\(764\) −18.9186 10.4693i −0.684451 0.378767i
\(765\) 46.2091 16.7988i 1.67069 0.607362i
\(766\) −3.83869 0.991310i −0.138697 0.0358175i
\(767\) 7.77467 13.4661i 0.280727 0.486234i
\(768\) −10.9837 + 25.4433i −0.396339 + 0.918104i
\(769\) −14.6064 25.2991i −0.526722 0.912309i −0.999515 0.0311354i \(-0.990088\pi\)
0.472794 0.881173i \(-0.343246\pi\)
\(770\) −1.07744 3.87980i −0.0388281 0.139818i
\(771\) −0.427898 9.84350i −0.0154104 0.354505i
\(772\) 8.91228 5.36358i 0.320760 0.193040i
\(773\) 10.5491 10.5491i 0.379425