Properties

Label 570.2.bi.a.47.40
Level $570$
Weight $2$
Character 570.47
Analytic conductor $4.551$
Analytic rank $0$
Dimension $480$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.bi (of order \(36\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(480\)
Relative dimension: \(40\) over \(\Q(\zeta_{36})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label 47.40
Character \(\chi\) \(=\) 570.47
Dual form 570.2.bi.a.473.40

$q$-expansion

\(f(q)\) \(=\) \(q+(0.819152 + 0.573576i) q^{2} +(1.71589 - 0.236090i) q^{3} +(0.342020 + 0.939693i) q^{4} +(0.250579 + 2.22198i) q^{5} +(1.54099 + 0.790798i) q^{6} +(0.373543 - 0.100091i) q^{7} +(-0.258819 + 0.965926i) q^{8} +(2.88852 - 0.810206i) q^{9} +O(q^{10})\) \(q+(0.819152 + 0.573576i) q^{2} +(1.71589 - 0.236090i) q^{3} +(0.342020 + 0.939693i) q^{4} +(0.250579 + 2.22198i) q^{5} +(1.54099 + 0.790798i) q^{6} +(0.373543 - 0.100091i) q^{7} +(-0.258819 + 0.965926i) q^{8} +(2.88852 - 0.810206i) q^{9} +(-1.06922 + 1.96387i) q^{10} +(-3.61556 + 2.08745i) q^{11} +(0.808719 + 1.53166i) q^{12} +(0.240609 - 0.0210505i) q^{13} +(0.363398 + 0.132266i) q^{14} +(0.954552 + 3.75351i) q^{15} +(-0.766044 + 0.642788i) q^{16} +(-0.0718475 - 0.0503082i) q^{17} +(2.83085 + 0.993107i) q^{18} +(3.07835 - 3.08606i) q^{19} +(-2.00228 + 0.995430i) q^{20} +(0.617327 - 0.259934i) q^{21} +(-4.15901 - 0.363866i) q^{22} +(1.28298 + 0.598265i) q^{23} +(-0.216059 + 1.71852i) q^{24} +(-4.87442 + 1.11356i) q^{25} +(0.209169 + 0.120764i) q^{26} +(4.76509 - 2.07217i) q^{27} +(0.221814 + 0.316783i) q^{28} +(0.577029 - 3.27249i) q^{29} +(-1.37100 + 3.62220i) q^{30} +(2.14763 - 3.71980i) q^{31} +(-0.996195 + 0.0871557i) q^{32} +(-5.71107 + 4.43542i) q^{33} +(-0.0299985 - 0.0824201i) q^{34} +(0.316002 + 0.804926i) q^{35} +(1.74928 + 2.43722i) q^{36} +(-7.64589 - 7.64589i) q^{37} +(4.29173 - 0.762285i) q^{38} +(0.407887 - 0.0929255i) q^{39} +(-2.21113 - 0.333051i) q^{40} +(3.48276 + 4.15059i) q^{41} +(0.654777 + 0.141159i) q^{42} +(2.61924 - 1.22137i) q^{43} +(-3.19815 - 2.68357i) q^{44} +(2.52407 + 6.21523i) q^{45} +(0.707808 + 1.22596i) q^{46} +(-0.0805908 - 0.115096i) q^{47} +(-1.16269 + 1.28380i) q^{48} +(-5.93266 + 3.42522i) q^{49} +(-4.63161 - 1.88367i) q^{50} +(-0.135159 - 0.0693606i) q^{51} +(0.102074 + 0.218898i) q^{52} +(6.98810 + 3.25860i) q^{53} +(5.09188 + 1.03572i) q^{54} +(-5.54426 - 7.51065i) q^{55} +0.386720i q^{56} +(4.55350 - 6.02209i) q^{57} +(2.34970 - 2.34970i) q^{58} +(-0.127725 - 0.724366i) q^{59} +(-3.20067 + 2.18076i) q^{60} +(6.62009 - 2.40952i) q^{61} +(3.89283 - 1.81525i) q^{62} +(0.997895 - 0.591761i) q^{63} +(-0.866025 - 0.500000i) q^{64} +(0.107065 + 0.529353i) q^{65} +(-7.22228 + 0.357547i) q^{66} +(0.994844 - 0.696598i) q^{67} +(0.0227009 - 0.0847210i) q^{68} +(2.34270 + 0.723655i) q^{69} +(-0.202833 + 0.840608i) q^{70} +(1.77171 - 4.86774i) q^{71} +(0.0349938 + 2.99980i) q^{72} +(0.355016 - 4.05785i) q^{73} +(-1.87764 - 10.6486i) q^{74} +(-8.10104 + 3.06155i) q^{75} +(3.95281 + 1.83721i) q^{76} +(-1.14164 + 1.14164i) q^{77} +(0.387421 + 0.157834i) q^{78} +(-9.94584 - 11.8530i) q^{79} +(-1.62022 - 1.54107i) q^{80} +(7.68713 - 4.68060i) q^{81} +(0.472229 + 5.39760i) q^{82} +(-8.49403 + 2.27597i) q^{83} +(0.455396 + 0.491195i) q^{84} +(0.0937805 - 0.172250i) q^{85} +(2.84610 + 0.501844i) q^{86} +(0.217513 - 5.75145i) q^{87} +(-1.08054 - 4.03264i) q^{88} +(1.19787 + 1.00513i) q^{89} +(-1.49732 + 6.53896i) q^{90} +(0.0877708 - 0.0319459i) q^{91} +(-0.123379 + 1.41023i) q^{92} +(2.80688 - 6.88979i) q^{93} -0.140506i q^{94} +(7.62855 + 6.06674i) q^{95} +(-1.68878 + 0.384741i) q^{96} +(-6.33112 + 9.04178i) q^{97} +(-6.82438 - 0.597056i) q^{98} +(-8.75238 + 8.95899i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 480q + O(q^{10}) \) \( 480q - 36q^{15} - 48q^{18} + 24q^{22} - 24q^{25} + 72q^{33} + 24q^{43} - 36q^{45} + 24q^{51} - 120q^{55} + 108q^{57} - 48q^{60} - 48q^{61} - 36q^{63} - 24q^{66} + 48q^{67} - 48q^{70} - 48q^{78} - 144q^{81} - 48q^{85} - 96q^{87} - 168q^{90} - 144q^{91} - 228q^{93} + 48q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{4}{9}\right)\) \(e\left(\frac{1}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.819152 + 0.573576i 0.579228 + 0.405580i
\(3\) 1.71589 0.236090i 0.990667 0.136306i
\(4\) 0.342020 + 0.939693i 0.171010 + 0.469846i
\(5\) 0.250579 + 2.22198i 0.112062 + 0.993701i
\(6\) 1.54099 + 0.790798i 0.629105 + 0.322842i
\(7\) 0.373543 0.100091i 0.141186 0.0378307i −0.187534 0.982258i \(-0.560049\pi\)
0.328720 + 0.944427i \(0.393383\pi\)
\(8\) −0.258819 + 0.965926i −0.0915064 + 0.341506i
\(9\) 2.88852 0.810206i 0.962841 0.270069i
\(10\) −1.06922 + 1.96387i −0.338116 + 0.621030i
\(11\) −3.61556 + 2.08745i −1.09013 + 0.629389i −0.933612 0.358286i \(-0.883361\pi\)
−0.156522 + 0.987675i \(0.550028\pi\)
\(12\) 0.808719 + 1.53166i 0.233457 + 0.442151i
\(13\) 0.240609 0.0210505i 0.0667328 0.00583836i −0.0537404 0.998555i \(-0.517114\pi\)
0.120473 + 0.992717i \(0.461559\pi\)
\(14\) 0.363398 + 0.132266i 0.0971223 + 0.0353496i
\(15\) 0.954552 + 3.75351i 0.246464 + 0.969152i
\(16\) −0.766044 + 0.642788i −0.191511 + 0.160697i
\(17\) −0.0718475 0.0503082i −0.0174256 0.0122015i 0.564831 0.825206i \(-0.308941\pi\)
−0.582257 + 0.813005i \(0.697830\pi\)
\(18\) 2.83085 + 0.993107i 0.667239 + 0.234078i
\(19\) 3.07835 3.08606i 0.706222 0.707991i
\(20\) −2.00228 + 0.995430i −0.447723 + 0.222585i
\(21\) 0.617327 0.259934i 0.134712 0.0567222i
\(22\) −4.15901 0.363866i −0.886703 0.0775765i
\(23\) 1.28298 + 0.598265i 0.267520 + 0.124747i 0.551750 0.834009i \(-0.313960\pi\)
−0.284230 + 0.958756i \(0.591738\pi\)
\(24\) −0.216059 + 1.71852i −0.0441028 + 0.350792i
\(25\) −4.87442 + 1.11356i −0.974884 + 0.222713i
\(26\) 0.209169 + 0.120764i 0.0410214 + 0.0236837i
\(27\) 4.76509 2.07217i 0.917043 0.398789i
\(28\) 0.221814 + 0.316783i 0.0419189 + 0.0598663i
\(29\) 0.577029 3.27249i 0.107152 0.607687i −0.883188 0.469020i \(-0.844607\pi\)
0.990339 0.138667i \(-0.0442817\pi\)
\(30\) −1.37100 + 3.62220i −0.250309 + 0.661321i
\(31\) 2.14763 3.71980i 0.385726 0.668096i −0.606144 0.795355i \(-0.707285\pi\)
0.991870 + 0.127259i \(0.0406178\pi\)
\(32\) −0.996195 + 0.0871557i −0.176104 + 0.0154071i
\(33\) −5.71107 + 4.43542i −0.994169 + 0.772107i
\(34\) −0.0299985 0.0824201i −0.00514469 0.0141349i
\(35\) 0.316002 + 0.804926i 0.0534140 + 0.136057i
\(36\) 1.74928 + 2.43722i 0.291546 + 0.406203i
\(37\) −7.64589 7.64589i −1.25698 1.25698i −0.952529 0.304448i \(-0.901528\pi\)
−0.304448 0.952529i \(-0.598472\pi\)
\(38\) 4.29173 0.762285i 0.696210 0.123659i
\(39\) 0.407887 0.0929255i 0.0653142 0.0148800i
\(40\) −2.21113 0.333051i −0.349610 0.0526600i
\(41\) 3.48276 + 4.15059i 0.543916 + 0.648214i 0.966061 0.258315i \(-0.0831671\pi\)
−0.422145 + 0.906528i \(0.638723\pi\)
\(42\) 0.654777 + 0.141159i 0.101034 + 0.0217813i
\(43\) 2.61924 1.22137i 0.399430 0.186257i −0.212515 0.977158i \(-0.568165\pi\)
0.611944 + 0.790901i \(0.290388\pi\)
\(44\) −3.19815 2.68357i −0.482140 0.404563i
\(45\) 2.52407 + 6.21523i 0.376266 + 0.926512i
\(46\) 0.707808 + 1.22596i 0.104361 + 0.180758i
\(47\) −0.0805908 0.115096i −0.0117554 0.0167884i 0.813231 0.581941i \(-0.197706\pi\)
−0.824987 + 0.565152i \(0.808817\pi\)
\(48\) −1.16269 + 1.28380i −0.167820 + 0.185301i
\(49\) −5.93266 + 3.42522i −0.847523 + 0.489318i
\(50\) −4.63161 1.88367i −0.655008 0.266392i
\(51\) −0.135159 0.0693606i −0.0189261 0.00971243i
\(52\) 0.102074 + 0.218898i 0.0141551 + 0.0303557i
\(53\) 6.98810 + 3.25860i 0.959889 + 0.447603i 0.838440 0.544994i \(-0.183468\pi\)
0.121449 + 0.992598i \(0.461246\pi\)
\(54\) 5.09188 + 1.03572i 0.692918 + 0.140944i
\(55\) −5.54426 7.51065i −0.747587 1.01274i
\(56\) 0.386720i 0.0516777i
\(57\) 4.55350 6.02209i 0.603126 0.797646i
\(58\) 2.34970 2.34970i 0.308531 0.308531i
\(59\) −0.127725 0.724366i −0.0166284 0.0943044i 0.975364 0.220601i \(-0.0708019\pi\)
−0.991992 + 0.126297i \(0.959691\pi\)
\(60\) −3.20067 + 2.18076i −0.413205 + 0.281535i
\(61\) 6.62009 2.40952i 0.847616 0.308507i 0.118548 0.992948i \(-0.462176\pi\)
0.729068 + 0.684441i \(0.239954\pi\)
\(62\) 3.89283 1.81525i 0.494389 0.230538i
\(63\) 0.997895 0.591761i 0.125723 0.0745549i
\(64\) −0.866025 0.500000i −0.108253 0.0625000i
\(65\) 0.107065 + 0.529353i 0.0132798 + 0.0656582i
\(66\) −7.22228 + 0.357547i −0.889002 + 0.0440110i
\(67\) 0.994844 0.696598i 0.121540 0.0851029i −0.511226 0.859446i \(-0.670809\pi\)
0.632766 + 0.774343i \(0.281920\pi\)
\(68\) 0.0227009 0.0847210i 0.00275289 0.0102739i
\(69\) 2.34270 + 0.723655i 0.282027 + 0.0871178i
\(70\) −0.202833 + 0.840608i −0.0242432 + 0.100472i
\(71\) 1.77171 4.86774i 0.210264 0.577695i −0.789066 0.614309i \(-0.789435\pi\)
0.999329 + 0.0366141i \(0.0116572\pi\)
\(72\) 0.0349938 + 2.99980i 0.00412406 + 0.353529i
\(73\) 0.355016 4.05785i 0.0415514 0.474935i −0.946702 0.322111i \(-0.895608\pi\)
0.988253 0.152824i \(-0.0488368\pi\)
\(74\) −1.87764 10.6486i −0.218272 1.23788i
\(75\) −8.10104 + 3.06155i −0.935428 + 0.353517i
\(76\) 3.95281 + 1.83721i 0.453418 + 0.210742i
\(77\) −1.14164 + 1.14164i −0.130101 + 0.130101i
\(78\) 0.387421 + 0.157834i 0.0438668 + 0.0178712i
\(79\) −9.94584 11.8530i −1.11899 1.33357i −0.936624 0.350336i \(-0.886067\pi\)
−0.182370 0.983230i \(-0.558377\pi\)
\(80\) −1.62022 1.54107i −0.181146 0.172297i
\(81\) 7.68713 4.68060i 0.854126 0.520066i
\(82\) 0.472229 + 5.39760i 0.0521489 + 0.596065i
\(83\) −8.49403 + 2.27597i −0.932340 + 0.249820i −0.692852 0.721079i \(-0.743646\pi\)
−0.239488 + 0.970899i \(0.576980\pi\)
\(84\) 0.455396 + 0.491195i 0.0496878 + 0.0535938i
\(85\) 0.0937805 0.172250i 0.0101719 0.0186832i
\(86\) 2.84610 + 0.501844i 0.306903 + 0.0541153i
\(87\) 0.217513 5.75145i 0.0233199 0.616621i
\(88\) −1.08054 4.03264i −0.115186 0.429881i
\(89\) 1.19787 + 1.00513i 0.126974 + 0.106544i 0.704063 0.710137i \(-0.251367\pi\)
−0.577089 + 0.816681i \(0.695812\pi\)
\(90\) −1.49732 + 6.53896i −0.157831 + 0.689267i
\(91\) 0.0877708 0.0319459i 0.00920088 0.00334884i
\(92\) −0.123379 + 1.41023i −0.0128631 + 0.147026i
\(93\) 2.80688 6.88979i 0.291060 0.714438i
\(94\) 0.140506i 0.0144921i
\(95\) 7.62855 + 6.06674i 0.782672 + 0.622434i
\(96\) −1.68878 + 0.384741i −0.172360 + 0.0392674i
\(97\) −6.33112 + 9.04178i −0.642828 + 0.918054i −0.999871 0.0160340i \(-0.994896\pi\)
0.357043 + 0.934088i \(0.383785\pi\)
\(98\) −6.82438 0.597056i −0.689366 0.0603117i
\(99\) −8.75238 + 8.95899i −0.879647 + 0.900412i
\(100\) −2.71356 4.19960i −0.271356 0.419960i
\(101\) −3.99064 + 4.75586i −0.397084 + 0.473226i −0.927128 0.374744i \(-0.877731\pi\)
0.530045 + 0.847970i \(0.322175\pi\)
\(102\) −0.0709325 0.134341i −0.00702336 0.0133018i
\(103\) 15.3641 + 4.11679i 1.51387 + 0.405640i 0.917718 0.397234i \(-0.130030\pi\)
0.596150 + 0.802873i \(0.296696\pi\)
\(104\) −0.0419408 + 0.237858i −0.00411264 + 0.0233239i
\(105\) 0.732258 + 1.30656i 0.0714610 + 0.127507i
\(106\) 3.85525 + 6.67750i 0.374455 + 0.648576i
\(107\) −0.229432 0.856251i −0.0221800 0.0827769i 0.953949 0.299970i \(-0.0969766\pi\)
−0.976129 + 0.217193i \(0.930310\pi\)
\(108\) 3.57696 + 3.76900i 0.344193 + 0.362672i
\(109\) −6.16314 + 16.9331i −0.590322 + 1.62190i 0.179587 + 0.983742i \(0.442524\pi\)
−0.769909 + 0.638154i \(0.779698\pi\)
\(110\) −0.233655 9.33242i −0.0222781 0.889812i
\(111\) −14.9246 11.3144i −1.41658 1.07391i
\(112\) −0.221814 + 0.316783i −0.0209594 + 0.0299332i
\(113\) −11.3530 11.3530i −1.06800 1.06800i −0.997513 0.0704836i \(-0.977546\pi\)
−0.0704836 0.997513i \(-0.522454\pi\)
\(114\) 7.18414 2.32123i 0.672857 0.217403i
\(115\) −1.00785 + 3.00068i −0.0939821 + 0.279815i
\(116\) 3.27249 0.577029i 0.303843 0.0535758i
\(117\) 0.677948 0.255747i 0.0626763 0.0236439i
\(118\) 0.310853 0.666626i 0.0286163 0.0613679i
\(119\) −0.0318735 0.0116010i −0.00292184 0.00106346i
\(120\) −3.87267 0.0494532i −0.353525 0.00451444i
\(121\) 3.21487 5.56832i 0.292261 0.506211i
\(122\) 6.80490 + 1.82337i 0.616087 + 0.165080i
\(123\) 6.95593 + 6.29970i 0.627195 + 0.568025i
\(124\) 4.23000 + 0.745864i 0.379865 + 0.0669805i
\(125\) −3.69575 10.5518i −0.330558 0.943786i
\(126\) 1.15685 + 0.0876265i 0.103060 + 0.00780639i
\(127\) −1.80890 20.6759i −0.160514 1.83469i −0.468698 0.883358i \(-0.655277\pi\)
0.308184 0.951327i \(-0.400279\pi\)
\(128\) −0.422618 0.906308i −0.0373545 0.0801070i
\(129\) 4.20595 2.71410i 0.370314 0.238964i
\(130\) −0.215922 + 0.495031i −0.0189376 + 0.0434171i
\(131\) −16.4004 + 2.89183i −1.43291 + 0.252661i −0.835595 0.549346i \(-0.814877\pi\)
−0.597315 + 0.802007i \(0.703766\pi\)
\(132\) −6.12123 3.84965i −0.532785 0.335069i
\(133\) 0.841011 1.46089i 0.0729249 0.126675i
\(134\) 1.21448 0.104915
\(135\) 5.79836 + 10.0687i 0.499043 + 0.866577i
\(136\) 0.0671895 0.0563787i 0.00576145 0.00483443i
\(137\) −4.56372 + 9.78694i −0.389905 + 0.836155i 0.609165 + 0.793044i \(0.291505\pi\)
−0.999070 + 0.0431111i \(0.986273\pi\)
\(138\) 1.50395 + 1.93650i 0.128025 + 0.164846i
\(139\) 3.76351 4.48518i 0.319217 0.380428i −0.582445 0.812870i \(-0.697904\pi\)
0.901661 + 0.432443i \(0.142348\pi\)
\(140\) −0.648304 + 0.572246i −0.0547917 + 0.0483636i
\(141\) −0.165457 0.178464i −0.0139340 0.0150294i
\(142\) 4.24332 2.97121i 0.356092 0.249338i
\(143\) −0.825994 + 0.578367i −0.0690731 + 0.0483655i
\(144\) −1.69195 + 2.47736i −0.140996 + 0.206447i
\(145\) 7.41602 + 0.462131i 0.615867 + 0.0383779i
\(146\) 2.61830 3.12036i 0.216692 0.258243i
\(147\) −9.37111 + 7.27793i −0.772916 + 0.600274i
\(148\) 4.56974 9.79984i 0.375630 0.805542i
\(149\) −7.20538 + 6.04603i −0.590287 + 0.495310i −0.888307 0.459250i \(-0.848118\pi\)
0.298020 + 0.954560i \(0.403674\pi\)
\(150\) −8.39202 2.13869i −0.685206 0.174624i
\(151\) 6.02542 0.490341 0.245171 0.969480i \(-0.421156\pi\)
0.245171 + 0.969480i \(0.421156\pi\)
\(152\) 2.18417 + 3.77219i 0.177160 + 0.305965i
\(153\) −0.248293 0.0871051i −0.0200733 0.00704203i
\(154\) −1.58999 + 0.280358i −0.128125 + 0.0225919i
\(155\) 8.80349 + 3.83989i 0.707113 + 0.308428i
\(156\) 0.226827 + 0.351506i 0.0181607 + 0.0281430i
\(157\) −6.32439 13.5627i −0.504741 1.08242i −0.979340 0.202219i \(-0.935185\pi\)
0.474599 0.880202i \(-0.342593\pi\)
\(158\) −1.34856 15.4141i −0.107286 1.22628i
\(159\) 12.7601 + 3.94157i 1.01194 + 0.312587i
\(160\) −0.443284 2.19169i −0.0350447 0.173268i
\(161\) 0.539130 + 0.0950632i 0.0424894 + 0.00749203i
\(162\) 8.98161 + 0.575039i 0.705662 + 0.0451793i
\(163\) 12.3460 + 3.30811i 0.967017 + 0.259111i 0.707568 0.706645i \(-0.249792\pi\)
0.259449 + 0.965757i \(0.416459\pi\)
\(164\) −2.70911 + 4.69231i −0.211546 + 0.366408i
\(165\) −11.2865 11.5785i −0.878652 0.901383i
\(166\) −8.26334 3.00761i −0.641360 0.233436i
\(167\) 8.86975 19.0212i 0.686362 1.47191i −0.185747 0.982598i \(-0.559471\pi\)
0.872109 0.489311i \(-0.162752\pi\)
\(168\) 0.0913007 + 0.663568i 0.00704400 + 0.0511954i
\(169\) −12.7451 + 2.24730i −0.980389 + 0.172869i
\(170\) 0.175619 0.0873088i 0.0134694 0.00669628i
\(171\) 6.39154 11.4083i 0.488773 0.872411i
\(172\) 2.04354 + 2.04354i 0.155819 + 0.155819i
\(173\) 0.0358823 0.0512453i 0.00272808 0.00389611i −0.817786 0.575523i \(-0.804799\pi\)
0.820514 + 0.571627i \(0.193687\pi\)
\(174\) 3.47707 4.58655i 0.263596 0.347706i
\(175\) −1.70935 + 0.903848i −0.129215 + 0.0683245i
\(176\) 1.42790 3.92312i 0.107632 0.295716i
\(177\) −0.390177 1.21277i −0.0293275 0.0911577i
\(178\) 0.404718 + 1.51043i 0.0303349 + 0.113211i
\(179\) 10.4937 + 18.1757i 0.784339 + 1.35852i 0.929393 + 0.369092i \(0.120331\pi\)
−0.145054 + 0.989424i \(0.546336\pi\)
\(180\) −4.97712 + 4.49758i −0.370973 + 0.335230i
\(181\) −0.202014 + 1.14568i −0.0150155 + 0.0851574i −0.991395 0.130907i \(-0.958211\pi\)
0.976379 + 0.216065i \(0.0693221\pi\)
\(182\) 0.0902210 + 0.0241747i 0.00668763 + 0.00179194i
\(183\) 10.7905 5.69739i 0.797653 0.421163i
\(184\) −0.909940 + 1.08442i −0.0670817 + 0.0799448i
\(185\) 15.0731 18.9049i 1.10820 1.38992i
\(186\) 6.25108 4.03382i 0.458351 0.295774i
\(187\) 0.364785 + 0.0319146i 0.0266757 + 0.00233382i
\(188\) 0.0805908 0.115096i 0.00587769 0.00839421i
\(189\) 1.57256 1.25099i 0.114387 0.0909959i
\(190\) 2.76920 + 9.34513i 0.200899 + 0.677967i
\(191\) 6.91092i 0.500056i 0.968239 + 0.250028i \(0.0804399\pi\)
−0.968239 + 0.250028i \(0.919560\pi\)
\(192\) −1.60404 0.653483i −0.115762 0.0471611i
\(193\) 0.577128 6.59660i 0.0415426 0.474834i −0.946719 0.322061i \(-0.895624\pi\)
0.988261 0.152772i \(-0.0488201\pi\)
\(194\) −10.3723 + 3.77521i −0.744688 + 0.271044i
\(195\) 0.308687 + 0.883033i 0.0221055 + 0.0632353i
\(196\) −5.24775 4.40338i −0.374839 0.314527i
\(197\) −4.42598 16.5180i −0.315338 1.17686i −0.923674 0.383179i \(-0.874829\pi\)
0.608336 0.793680i \(-0.291837\pi\)
\(198\) −12.3082 + 2.31862i −0.874705 + 0.164777i
\(199\) −2.82359 0.497875i −0.200159 0.0352934i 0.0726698 0.997356i \(-0.476848\pi\)
−0.272829 + 0.962063i \(0.587959\pi\)
\(200\) 0.185972 4.99654i 0.0131502 0.353309i
\(201\) 1.54258 1.43015i 0.108805 0.100875i
\(202\) −5.99679 + 1.60684i −0.421933 + 0.113057i
\(203\) −0.112001 1.28017i −0.00786091 0.0898506i
\(204\) 0.0189504 0.150731i 0.00132679 0.0105533i
\(205\) −8.34984 + 8.77869i −0.583178 + 0.613130i
\(206\) 10.2242 + 12.1848i 0.712355 + 0.848952i
\(207\) 4.19064 + 0.688622i 0.291270 + 0.0478625i
\(208\) −0.170786 + 0.170786i −0.0118419 + 0.0118419i
\(209\) −4.68798 + 17.5837i −0.324274 + 1.21629i
\(210\) −0.149580 + 1.49027i −0.0103220 + 0.102839i
\(211\) 3.98086 + 22.5766i 0.274054 + 1.55423i 0.741952 + 0.670453i \(0.233900\pi\)
−0.467899 + 0.883782i \(0.654989\pi\)
\(212\) −0.672015 + 7.68117i −0.0461542 + 0.527545i
\(213\) 1.89083 8.77077i 0.129558 0.600963i
\(214\) 0.303186 0.832996i 0.0207253 0.0569424i
\(215\) 3.37019 + 5.51385i 0.229845 + 0.376041i
\(216\) 0.768266 + 5.13904i 0.0522739 + 0.349668i
\(217\) 0.429915 1.60446i 0.0291845 0.108918i
\(218\) −14.7610 + 10.3357i −0.999739 + 0.700025i
\(219\) −0.348850 7.04661i −0.0235731 0.476166i
\(220\) 5.16146 7.77869i 0.347985 0.524439i
\(221\) −0.0183461 0.0105922i −0.00123410 0.000712505i
\(222\) −5.73586 17.8286i −0.384966 1.19658i
\(223\) −6.04282 + 2.81781i −0.404657 + 0.188695i −0.614281 0.789087i \(-0.710554\pi\)
0.209624 + 0.977782i \(0.432776\pi\)
\(224\) −0.363398 + 0.132266i −0.0242806 + 0.00883741i
\(225\) −13.1777 + 7.16584i −0.878511 + 0.477723i
\(226\) −2.78801 15.8116i −0.185456 1.05177i
\(227\) 2.98346 2.98346i 0.198019 0.198019i −0.601131 0.799150i \(-0.705283\pi\)
0.799150 + 0.601131i \(0.205283\pi\)
\(228\) 7.21631 + 2.21922i 0.477912 + 0.146971i
\(229\) 21.4179i 1.41534i 0.706545 + 0.707669i \(0.250253\pi\)
−0.706545 + 0.707669i \(0.749747\pi\)
\(230\) −2.54670 + 1.87994i −0.167924 + 0.123959i
\(231\) −1.68939 + 2.22844i −0.111154 + 0.146621i
\(232\) 3.01164 + 1.40435i 0.197724 + 0.0922002i
\(233\) 4.30466 + 9.23136i 0.282007 + 0.604767i 0.995380 0.0960186i \(-0.0306108\pi\)
−0.713372 + 0.700785i \(0.752833\pi\)
\(234\) 0.702033 + 0.179359i 0.0458934 + 0.0117251i
\(235\) 0.235546 0.207912i 0.0153653 0.0135627i
\(236\) 0.636997 0.367770i 0.0414649 0.0239398i
\(237\) −19.8643 17.9903i −1.29032 1.16859i
\(238\) −0.0194552 0.0277849i −0.00126109 0.00180103i
\(239\) 8.45857 + 14.6507i 0.547139 + 0.947673i 0.998469 + 0.0553157i \(0.0176165\pi\)
−0.451330 + 0.892357i \(0.649050\pi\)
\(240\) −3.14394 2.26178i −0.202940 0.145997i
\(241\) 8.21697 + 6.89486i 0.529302 + 0.444137i 0.867860 0.496808i \(-0.165495\pi\)
−0.338558 + 0.940945i \(0.609939\pi\)
\(242\) 5.82732 2.71733i 0.374595 0.174676i
\(243\) 12.0852 9.84622i 0.775266 0.631635i
\(244\) 4.52841 + 5.39675i 0.289902 + 0.345491i
\(245\) −9.09739 12.3240i −0.581211 0.787351i
\(246\) 2.08461 + 9.15017i 0.132910 + 0.583393i
\(247\) 0.675714 0.807334i 0.0429946 0.0513694i
\(248\) 3.03721 + 3.03721i 0.192863 + 0.192863i
\(249\) −14.0374 + 5.91065i −0.889587 + 0.374572i
\(250\) 3.02491 10.7634i 0.191312 0.680735i
\(251\) 10.1608 + 27.9165i 0.641343 + 1.76207i 0.647467 + 0.762094i \(0.275828\pi\)
−0.00612400 + 0.999981i \(0.501949\pi\)
\(252\) 0.897374 + 0.735320i 0.0565292 + 0.0463208i
\(253\) −5.88755 + 0.515094i −0.370147 + 0.0323837i
\(254\) 10.3774 17.9742i 0.651137 1.12780i
\(255\) 0.120250 0.317702i 0.00753035 0.0198953i
\(256\) 0.173648 0.984808i 0.0108530 0.0615505i
\(257\) −11.4442 16.3440i −0.713869 1.01951i −0.998152 0.0607701i \(-0.980644\pi\)
0.284283 0.958740i \(-0.408245\pi\)
\(258\) 5.00206 + 0.189172i 0.311415 + 0.0117773i
\(259\) −3.62135 2.09079i −0.225020 0.129915i
\(260\) −0.460811 + 0.281658i −0.0285783 + 0.0174677i
\(261\) −0.984632 9.92019i −0.0609472 0.614044i
\(262\) −15.0931 7.03803i −0.932456 0.434811i
\(263\) 14.5696 + 1.27468i 0.898403 + 0.0786001i 0.526994 0.849869i \(-0.323319\pi\)
0.371409 + 0.928469i \(0.378875\pi\)
\(264\) −2.80615 6.66444i −0.172707 0.410168i
\(265\) −5.48949 + 16.3440i −0.337217 + 1.00400i
\(266\) 1.52685 0.714308i 0.0936171 0.0437970i
\(267\) 2.29271 + 1.44189i 0.140312 + 0.0882421i
\(268\) 0.994844 + 0.696598i 0.0607698 + 0.0425515i
\(269\) −16.9061 + 14.1859i −1.03078 + 0.864931i −0.990944 0.134275i \(-0.957129\pi\)
−0.0398406 + 0.999206i \(0.512685\pi\)
\(270\) −1.02544 + 11.5736i −0.0624062 + 0.704348i
\(271\) −14.5512 5.29622i −0.883925 0.321722i −0.140132 0.990133i \(-0.544753\pi\)
−0.743793 + 0.668410i \(0.766975\pi\)
\(272\) 0.0873759 0.00764440i 0.00529794 0.000463510i
\(273\) 0.143062 0.0755373i 0.00865853 0.00457173i
\(274\) −9.35194 + 5.39935i −0.564971 + 0.326186i
\(275\) 15.2993 14.2013i 0.922581 0.856368i
\(276\) 0.121236 + 2.44892i 0.00729756 + 0.147408i
\(277\) −6.80449 + 25.3947i −0.408842 + 1.52582i 0.388016 + 0.921653i \(0.373161\pi\)
−0.796858 + 0.604167i \(0.793506\pi\)
\(278\) 5.65548 1.51538i 0.339193 0.0908865i
\(279\) 3.18967 12.4848i 0.190961 0.747443i
\(280\) −0.859287 + 0.0969040i −0.0513522 + 0.00579112i
\(281\) 8.94351 + 24.5721i 0.533525 + 1.46585i 0.854848 + 0.518878i \(0.173650\pi\)
−0.321323 + 0.946970i \(0.604128\pi\)
\(282\) −0.0331720 0.241092i −0.00197536 0.0143568i
\(283\) 17.2246 + 12.0608i 1.02390 + 0.716939i 0.959708 0.280999i \(-0.0906657\pi\)
0.0641871 + 0.997938i \(0.479555\pi\)
\(284\) 5.18014 0.307385
\(285\) 14.5220 + 8.60880i 0.860209 + 0.509941i
\(286\) −1.00835 −0.0596251
\(287\) 1.71640 + 1.20183i 0.101316 + 0.0709421i
\(288\) −2.80692 + 1.05887i −0.165399 + 0.0623947i
\(289\) −5.81171 15.9675i −0.341865 0.939267i
\(290\) 5.80978 + 4.63221i 0.341162 + 0.272013i
\(291\) −8.72881 + 17.0094i −0.511692 + 0.997107i
\(292\) 3.93455 1.05426i 0.230252 0.0616959i
\(293\) −1.47887 + 5.51922i −0.0863965 + 0.322436i −0.995575 0.0939705i \(-0.970044\pi\)
0.909178 + 0.416407i \(0.136711\pi\)
\(294\) −11.8508 + 0.586687i −0.691153 + 0.0342163i
\(295\) 1.57752 0.465314i 0.0918470 0.0270916i
\(296\) 9.36427 5.40646i 0.544287 0.314244i
\(297\) −12.9030 + 17.4389i −0.748705 + 1.01191i
\(298\) −9.37016 + 0.819783i −0.542799 + 0.0474887i
\(299\) 0.321290 + 0.116940i 0.0185807 + 0.00676283i
\(300\) −5.64764 6.56538i −0.326066 0.379052i
\(301\) 0.856150 0.718395i 0.0493477 0.0414076i
\(302\) 4.93573 + 3.45604i 0.284019 + 0.198873i
\(303\) −5.72467 + 9.10266i −0.328874 + 0.522934i
\(304\) −0.374470 + 4.34278i −0.0214773 + 0.249076i
\(305\) 7.01276 + 14.1060i 0.401549 + 0.807705i
\(306\) −0.153429 0.213767i −0.00877092 0.0122203i
\(307\) 6.48150 + 0.567058i 0.369919 + 0.0323637i 0.270600 0.962692i \(-0.412778\pi\)
0.0993191 + 0.995056i \(0.468334\pi\)
\(308\) −1.46325 0.682324i −0.0833764 0.0388790i
\(309\) 27.3349 + 3.43664i 1.55503 + 0.195504i
\(310\) 5.00892 + 8.19493i 0.284488 + 0.465441i
\(311\) −6.65510 3.84232i −0.377376 0.217878i 0.299300 0.954159i \(-0.403247\pi\)
−0.676676 + 0.736281i \(0.736580\pi\)
\(312\) −0.0158098 + 0.418039i −0.000895051 + 0.0236668i
\(313\) 11.0754 + 15.8173i 0.626017 + 0.894045i 0.999435 0.0336180i \(-0.0107030\pi\)
−0.373417 + 0.927663i \(0.621814\pi\)
\(314\) 2.59861 14.7374i 0.146648 0.831682i
\(315\) 1.56493 + 2.06902i 0.0881741 + 0.116576i
\(316\) 7.73649 13.4000i 0.435212 0.753809i
\(317\) −27.5047 + 2.40635i −1.54482 + 0.135154i −0.827449 0.561542i \(-0.810208\pi\)
−0.717367 + 0.696695i \(0.754653\pi\)
\(318\) 8.19166 + 10.5476i 0.459366 + 0.591482i
\(319\) 4.74487 + 13.0364i 0.265662 + 0.729900i
\(320\) 0.893984 2.04958i 0.0499752 0.114575i
\(321\) −0.595830 1.41506i −0.0332560 0.0789810i
\(322\) 0.387104 + 0.387104i 0.0215724 + 0.0215724i
\(323\) −0.376426 + 0.0668598i −0.0209449 + 0.00372018i
\(324\) 7.02748 + 5.62268i 0.390415 + 0.312371i
\(325\) −1.14939 + 0.370542i −0.0637565 + 0.0205540i
\(326\) 8.21583 + 9.79125i 0.455033 + 0.542287i
\(327\) −6.57751 + 30.5103i −0.363737 + 1.68722i
\(328\) −4.91057 + 2.28984i −0.271141 + 0.126435i
\(329\) −0.0416241 0.0349268i −0.00229481 0.00192558i
\(330\) −2.60421 15.9582i −0.143357 0.878470i
\(331\) 8.94943 + 15.5009i 0.491905 + 0.852005i 0.999957 0.00932178i \(-0.00296726\pi\)
−0.508051 + 0.861327i \(0.669634\pi\)
\(332\) −5.04384 7.20335i −0.276817 0.395335i
\(333\) −28.2801 15.8906i −1.54974 0.870799i
\(334\) 18.1758 10.4938i 0.994536 0.574196i
\(335\) 1.79712 + 2.03598i 0.0981869 + 0.111237i
\(336\) −0.305818 + 0.595931i −0.0166837 + 0.0325107i
\(337\) 3.29350 + 7.06294i 0.179409 + 0.384743i 0.975361 0.220617i \(-0.0708070\pi\)
−0.795952 + 0.605360i \(0.793029\pi\)
\(338\) −11.7291 5.46938i −0.637981 0.297495i
\(339\) −22.1607 16.8001i −1.20360 0.912454i
\(340\) 0.193937 + 0.0292118i 0.0105177 + 0.00158423i
\(341\) 17.9322i 0.971086i
\(342\) 11.7791 5.67906i 0.636943 0.307088i
\(343\) −3.78744 + 3.78744i −0.204503 + 0.204503i
\(344\) 0.501844 + 2.84610i 0.0270576 + 0.153451i
\(345\) −1.02092 + 5.38676i −0.0549644 + 0.290014i
\(346\) 0.0587862 0.0213964i 0.00316037 0.00115028i
\(347\) 5.57952 2.60177i 0.299525 0.139671i −0.267046 0.963684i \(-0.586048\pi\)
0.566571 + 0.824013i \(0.308270\pi\)
\(348\) 5.47899 1.76272i 0.293705 0.0944916i
\(349\) 7.03299 + 4.06050i 0.376467 + 0.217353i 0.676280 0.736645i \(-0.263591\pi\)
−0.299813 + 0.953998i \(0.596924\pi\)
\(350\) −1.91864 0.240054i −0.102556 0.0128314i
\(351\) 1.10290 0.598890i 0.0588685 0.0319664i
\(352\) 3.41987 2.39462i 0.182280 0.127634i
\(353\) −1.35752 + 5.06634i −0.0722535 + 0.269654i −0.992597 0.121458i \(-0.961243\pi\)
0.920343 + 0.391112i \(0.127910\pi\)
\(354\) 0.376004 1.21724i 0.0199844 0.0646957i
\(355\) 11.2600 + 2.71696i 0.597618 + 0.144201i
\(356\) −0.534820 + 1.46941i −0.0283454 + 0.0778784i
\(357\) −0.0574302 0.0123810i −0.00303953 0.000655272i
\(358\) −1.82918 + 20.9076i −0.0966752 + 1.10500i
\(359\) −4.09708 23.2357i −0.216236 1.22633i −0.878750 0.477283i \(-0.841622\pi\)
0.662514 0.749049i \(-0.269489\pi\)
\(360\) −6.65673 + 0.829441i −0.350840 + 0.0437154i
\(361\) −0.0475447 18.9999i −0.00250235 0.999997i
\(362\) −0.822612 + 0.822612i −0.0432355 + 0.0432355i
\(363\) 4.20172 10.3136i 0.220533 0.541323i
\(364\) 0.0600387 + 0.0715514i 0.00314688 + 0.00375031i
\(365\) 9.10543 0.227972i 0.476600 0.0119326i
\(366\) 12.1069 + 1.52212i 0.632838 + 0.0795626i
\(367\) −0.483936 5.53142i −0.0252613 0.288738i −0.998309 0.0581331i \(-0.981485\pi\)
0.973048 0.230604i \(-0.0740703\pi\)
\(368\) −1.36738 + 0.366388i −0.0712796 + 0.0190993i
\(369\) 13.4229 + 9.16733i 0.698767 + 0.477232i
\(370\) 23.1906 6.84042i 1.20562 0.355617i
\(371\) 2.93651 + 0.517786i 0.152456 + 0.0268821i
\(372\) 7.43429 + 0.281156i 0.385450 + 0.0145773i
\(373\) −4.20006 15.6748i −0.217471 0.811612i −0.985282 0.170936i \(-0.945321\pi\)
0.767811 0.640676i \(-0.221346\pi\)
\(374\) 0.280509 + 0.235375i 0.0145048 + 0.0121710i
\(375\) −8.83266 17.2332i −0.456117 0.889920i
\(376\) 0.132032 0.0480558i 0.00680904 0.00247829i
\(377\) 0.0699504 0.799537i 0.00360263 0.0411782i
\(378\) 2.00571 0.122763i 0.103162 0.00631423i
\(379\) 8.77393i 0.450686i 0.974279 + 0.225343i \(0.0723503\pi\)
−0.974279 + 0.225343i \(0.927650\pi\)
\(380\) −3.09175 + 9.24343i −0.158604 + 0.474178i
\(381\) −7.98523 35.0503i −0.409095 1.79568i
\(382\) −3.96394 + 5.66109i −0.202813 + 0.289647i
\(383\) −29.5470 2.58503i −1.50978 0.132089i −0.698021 0.716078i \(-0.745936\pi\)
−0.811762 + 0.583989i \(0.801491\pi\)
\(384\) −0.939134 1.45534i −0.0479250 0.0742677i
\(385\) −2.82277 2.25063i −0.143861 0.114703i
\(386\) 4.25641 5.07259i 0.216646 0.258188i
\(387\) 6.57616 5.65007i 0.334285 0.287209i
\(388\) −10.6619 2.85684i −0.541274 0.145034i
\(389\) 1.95238 11.0725i 0.0989894 0.561397i −0.894462 0.447144i \(-0.852441\pi\)
0.993452 0.114253i \(-0.0364476\pi\)
\(390\) −0.253625 + 0.900393i −0.0128428 + 0.0455932i
\(391\) −0.0620816 0.107528i −0.00313960 0.00543795i
\(392\) −1.77303 6.61702i −0.0895513 0.334210i
\(393\) −27.4585 + 8.83402i −1.38510 + 0.445617i
\(394\) 5.84878 16.0694i 0.294657 0.809564i
\(395\) 23.8449 25.0696i 1.19977 1.26139i
\(396\) −11.4122 5.16039i −0.573484 0.259319i
\(397\) 19.5944 27.9837i 0.983416 1.40446i 0.0699494 0.997551i \(-0.477716\pi\)
0.913467 0.406913i \(-0.133395\pi\)
\(398\) −2.02738 2.02738i −0.101623 0.101623i
\(399\) 1.09818 2.70528i 0.0549776 0.135433i
\(400\) 3.01824 3.98626i 0.150912 0.199313i
\(401\) 3.32331 0.585988i 0.165958 0.0292629i −0.0900517 0.995937i \(-0.528703\pi\)
0.256010 + 0.966674i \(0.417592\pi\)
\(402\) 2.08391 0.286726i 0.103936 0.0143006i
\(403\) 0.438434 0.940225i 0.0218400 0.0468359i
\(404\) −5.83393 2.12338i −0.290249 0.105642i
\(405\) 12.3264 + 15.9078i 0.612506 + 0.790466i
\(406\) 0.642532 1.11290i 0.0318883 0.0552322i
\(407\) 43.6046 + 11.6838i 2.16140 + 0.579145i
\(408\) 0.101979 0.112602i 0.00504871 0.00557463i
\(409\) 14.6702 + 2.58675i 0.725395 + 0.127907i 0.524140 0.851632i \(-0.324387\pi\)
0.201255 + 0.979539i \(0.435498\pi\)
\(410\) −11.8750 + 2.40181i −0.586466 + 0.118617i
\(411\) −5.52023 + 17.8707i −0.272293 + 0.881497i
\(412\) 1.38630 + 15.8455i 0.0682983 + 0.780654i
\(413\) −0.120213 0.257798i −0.00591530 0.0126854i
\(414\) 3.03780 + 2.96774i 0.149300 + 0.145856i
\(415\) −7.18559 18.3033i −0.352726 0.898472i
\(416\) −0.237858 + 0.0419408i −0.0116620 + 0.00205632i
\(417\) 5.39885 8.58457i 0.264383 0.420388i
\(418\) −13.9258 + 11.7148i −0.681132 + 0.572992i
\(419\) −28.9325 −1.41345 −0.706723 0.707491i \(-0.749827\pi\)
−0.706723 + 0.707491i \(0.749827\pi\)
\(420\) −0.977315 + 1.13497i −0.0476881 + 0.0553807i
\(421\) −19.9314 + 16.7245i −0.971399 + 0.815101i −0.982770 0.184835i \(-0.940825\pi\)
0.0113705 + 0.999935i \(0.496381\pi\)
\(422\) −9.68846 + 20.7770i −0.471627 + 1.01141i
\(423\) −0.326039 0.267161i −0.0158526 0.0129898i
\(424\) −4.95622 + 5.90659i −0.240695 + 0.286850i
\(425\) 0.406237 + 0.165216i 0.0197054 + 0.00801417i
\(426\) 6.57958 6.10005i 0.318782 0.295549i
\(427\) 2.23172 1.56267i 0.108001 0.0756228i
\(428\) 0.726142 0.508450i 0.0350994 0.0245769i
\(429\) −1.28076 + 1.18742i −0.0618359 + 0.0573292i
\(430\) −0.401917 + 6.44974i −0.0193822 + 0.311034i
\(431\) 2.96319 3.53139i 0.142732 0.170101i −0.689942 0.723864i \(-0.742364\pi\)
0.832674 + 0.553763i \(0.186809\pi\)
\(432\) −2.31831 + 4.65032i −0.111540 + 0.223738i
\(433\) 0.267212 0.573039i 0.0128414 0.0275385i −0.899782 0.436339i \(-0.856275\pi\)
0.912624 + 0.408800i \(0.134053\pi\)
\(434\) 1.27245 1.06771i 0.0610795 0.0512518i
\(435\) 12.8341 0.957882i 0.615350 0.0459269i
\(436\) −18.0198 −0.862993
\(437\) 5.79575 2.11770i 0.277248 0.101303i
\(438\) 3.75601 5.97234i 0.179469 0.285369i
\(439\) 38.5069 6.78980i 1.83783 0.324060i 0.856466 0.516203i \(-0.172655\pi\)
0.981367 + 0.192143i \(0.0615438\pi\)
\(440\) 8.68969 3.41144i 0.414265 0.162634i
\(441\) −14.3615 + 14.7005i −0.683881 + 0.700024i
\(442\) −0.00895287 0.0191995i −0.000425845 0.000913227i
\(443\) −2.83397 32.3924i −0.134646 1.53901i −0.699989 0.714153i \(-0.746812\pi\)
0.565344 0.824856i \(-0.308744\pi\)
\(444\) 5.52751 17.8943i 0.262324 0.849224i
\(445\) −1.93323 + 2.91351i −0.0916438 + 0.138114i
\(446\) −6.56622 1.15780i −0.310919 0.0548235i
\(447\) −10.9362 + 12.0754i −0.517264 + 0.571147i
\(448\) −0.373543 0.100091i −0.0176483 0.00472884i
\(449\) −13.5514 + 23.4718i −0.639531 + 1.10770i 0.346004 + 0.938233i \(0.387538\pi\)
−0.985536 + 0.169468i \(0.945795\pi\)
\(450\) −14.9047 1.68848i −0.702613 0.0795959i
\(451\) −21.2563 7.73666i −1.00092 0.364305i
\(452\) 6.78535 14.5512i 0.319156 0.684432i
\(453\) 10.3389 1.42254i 0.485765 0.0668367i
\(454\) 4.15514 0.732664i 0.195011 0.0343856i
\(455\) 0.0929769 + 0.187020i 0.00435882 + 0.00876764i
\(456\) 4.63836 + 5.95698i 0.217211 + 0.278961i
\(457\) 25.1035 + 25.1035i 1.17429 + 1.17429i 0.981176 + 0.193118i \(0.0618599\pi\)
0.193118 + 0.981176i \(0.438140\pi\)
\(458\) −12.2848 + 17.5445i −0.574032 + 0.819803i
\(459\) −0.446607 0.0908428i −0.0208458 0.00424018i
\(460\) −3.16442 + 0.0792273i −0.147542 + 0.00369399i
\(461\) 5.33599 14.6605i 0.248522 0.682808i −0.751219 0.660053i \(-0.770534\pi\)
0.999741 0.0227553i \(-0.00724386\pi\)
\(462\) −2.66205 + 0.856442i −0.123850 + 0.0398453i
\(463\) 6.19767 + 23.1300i 0.288030 + 1.07494i 0.946597 + 0.322421i \(0.104497\pi\)
−0.658566 + 0.752523i \(0.728837\pi\)
\(464\) 1.66149 + 2.87778i 0.0771327 + 0.133598i
\(465\) 16.0123 + 4.51040i 0.742554 + 0.209165i
\(466\) −1.76873 + 10.0309i −0.0819346 + 0.464674i
\(467\) −12.9444 3.46845i −0.598997 0.160501i −0.0534350 0.998571i \(-0.517017\pi\)
−0.545562 + 0.838071i \(0.683684\pi\)
\(468\) 0.472196 + 0.549592i 0.0218273 + 0.0254049i
\(469\) 0.301895 0.359784i 0.0139402 0.0166133i
\(470\) 0.312201 0.0352078i 0.0144008 0.00162401i
\(471\) −14.0539 21.7789i −0.647572 1.00352i
\(472\) 0.732741 + 0.0641066i 0.0337272 + 0.00295074i
\(473\) −6.92047 + 9.88345i −0.318203 + 0.454442i
\(474\) −5.95308 26.1304i −0.273434 1.20021i
\(475\) −11.5686 + 18.4707i −0.530805 + 0.847494i
\(476\) 0.0339191i 0.00155468i
\(477\) 22.8254 + 3.75075i 1.04510 + 0.171735i
\(478\) −1.47443 + 16.8528i −0.0674386 + 0.770827i
\(479\) −15.4460 + 5.62188i −0.705746 + 0.256870i −0.669862 0.742486i \(-0.733647\pi\)
−0.0358837 + 0.999356i \(0.511425\pi\)
\(480\) −1.27806 3.65603i −0.0583352 0.166874i
\(481\) −2.00062 1.67872i −0.0912203 0.0765429i
\(482\) 2.77622 + 10.3610i 0.126453 + 0.471931i
\(483\) 0.947529 + 0.0358344i 0.0431141 + 0.00163052i
\(484\) 6.33206 + 1.11651i 0.287821 + 0.0507506i
\(485\) −21.6771 11.8020i −0.984308 0.535900i
\(486\) 15.5472 1.13377i 0.705234 0.0514287i
\(487\) 25.2334 6.76127i 1.14343 0.306382i 0.363104 0.931749i \(-0.381717\pi\)
0.780331 + 0.625366i \(0.215050\pi\)
\(488\) 0.614008 + 7.01815i 0.0277948 + 0.317697i
\(489\) 21.9654 + 2.76157i 0.993310 + 0.124882i
\(490\) −0.383397 15.3133i −0.0173201 0.691783i
\(491\) −11.8707 14.1469i −0.535716 0.638442i 0.428506 0.903539i \(-0.359040\pi\)
−0.964222 + 0.265098i \(0.914596\pi\)
\(492\) −3.54071 + 8.69106i −0.159628 + 0.391823i
\(493\) −0.206091 + 0.206091i −0.00928189 + 0.00928189i
\(494\) 1.01658 0.273755i 0.0457381 0.0123168i
\(495\) −22.0999 17.2027i −0.993316 0.773204i
\(496\) 0.745864 + 4.23000i 0.0334903 + 0.189933i
\(497\) 0.174596 1.99564i 0.00783171 0.0895169i
\(498\) −14.8890 3.20982i −0.667192 0.143836i
\(499\) −3.59317 + 9.87215i −0.160852 + 0.441938i −0.993769 0.111461i \(-0.964447\pi\)
0.832917 + 0.553399i \(0.186669\pi\)
\(500\) 8.65147 7.08181i 0.386906 0.316708i
\(501\) 10.7288 34.7323i 0.479326 1.55173i
\(502\) −7.68903 + 28.6959i −0.343178 + 1.28076i
\(503\) 18.6713 13.0738i 0.832511 0.582931i −0.0777464 0.996973i \(-0.524772\pi\)
0.910257 + 0.414043i \(0.135884\pi\)
\(504\) 0.313323 + 1.11705i 0.0139565 + 0.0497574i
\(505\) −11.5674 7.67542i −0.514743 0.341552i
\(506\) −5.11825 2.95502i −0.227534 0.131367i
\(507\) −21.3385 + 6.86508i −0.947675 + 0.304889i
\(508\) 18.8103 8.77137i 0.834571 0.389167i
\(509\) −19.8373 + 7.22018i −0.879272 + 0.320029i −0.741916 0.670493i \(-0.766083\pi\)
−0.137356 + 0.990522i \(0.543861\pi\)
\(510\) 0.280730 0.191274i 0.0124309 0.00846975i
\(511\) −0.273539 1.55132i −0.0121006 0.0686261i
\(512\) 0.707107 0.707107i 0.0312500 0.0312500i
\(513\) 8.27377 21.0842i 0.365296 0.930891i
\(514\) 19.9523i 0.880060i
\(515\) −5.29753 + 35.1703i −0.233437 + 1.54979i
\(516\) 3.98894 + 3.02403i 0.175603 + 0.133125i
\(517\) 0.531637 + 0.247906i 0.0233814 + 0.0109029i
\(518\) −1.76721 3.78980i −0.0776468 0.166514i
\(519\) 0.0494715 0.0964025i 0.00217156 0.00423160i
\(520\) −0.539027 0.0335896i −0.0236379 0.00147300i
\(521\) 27.7918 16.0456i 1.21758 0.702971i 0.253182 0.967419i \(-0.418523\pi\)
0.964400 + 0.264447i \(0.0851895\pi\)
\(522\) 4.88342 8.69090i 0.213742 0.380390i
\(523\) −11.2039 16.0009i −0.489914 0.699669i 0.495736 0.868473i \(-0.334898\pi\)
−0.985650 + 0.168804i \(0.946010\pi\)
\(524\) −8.32670 14.4223i −0.363754 0.630040i
\(525\) −2.71966 + 1.95446i −0.118696 + 0.0852996i
\(526\) 11.2036 + 9.40096i 0.488502 + 0.409901i
\(527\) −0.341438 + 0.159215i −0.0148733 + 0.00693553i
\(528\) 1.52390 7.06873i 0.0663193 0.307627i
\(529\) −13.4960 16.0839i −0.586782 0.699300i
\(530\) −13.8712 + 10.2396i −0.602528 + 0.444778i
\(531\) −0.955823 1.98886i −0.0414792 0.0863093i
\(532\) 1.66043 + 0.290637i 0.0719888 + 0.0126007i
\(533\) 0.925354 + 0.925354i 0.0400815 + 0.0400815i
\(534\) 1.05105 + 2.49617i 0.0454832 + 0.108020i
\(535\) 1.84508 0.724352i 0.0797699 0.0313164i
\(536\) 0.415377 + 1.14124i 0.0179415 + 0.0492940i
\(537\) 22.2972 + 28.7099i 0.962193 + 1.23893i
\(538\) −21.9854 + 1.92347i −0.947858 + 0.0829268i
\(539\) 14.2999 24.7682i 0.615942 1.06684i
\(540\) −7.47834 + 8.89238i −0.321817 + 0.382667i
\(541\) 2.79703 15.8628i 0.120254 0.681993i −0.863760 0.503903i \(-0.831897\pi\)
0.984014 0.178090i \(-0.0569920\pi\)
\(542\) −8.88189 12.6847i −0.381510 0.544853i
\(543\) −0.0761498 + 2.01354i −0.00326790 + 0.0864093i
\(544\) 0.0759588 + 0.0438548i 0.00325671 + 0.00188026i
\(545\) −39.1694 9.45132i −1.67783 0.404850i
\(546\) 0.160516 + 0.0201807i 0.00686946 + 0.000863653i
\(547\) 34.2574 + 15.9745i 1.46474 + 0.683019i 0.981322 0.192371i \(-0.0616178\pi\)
0.483417 + 0.875390i \(0.339396\pi\)
\(548\) −10.7576 0.941168i −0.459542 0.0402047i
\(549\) 17.1701 12.3236i 0.732801 0.525958i
\(550\) 20.6779 2.85769i 0.881710 0.121852i
\(551\) −8.32282 11.8546i −0.354564 0.505024i
\(552\) −1.30533 + 2.07557i −0.0555586 + 0.0883423i
\(553\) −4.90158 3.43212i −0.208436 0.145949i
\(554\) −20.1397 + 16.8992i −0.855654 + 0.717979i
\(555\) 21.4005 35.9973i 0.908401 1.52800i
\(556\) 5.50188 + 2.00252i 0.233332 + 0.0849258i
\(557\) 9.86765 0.863308i 0.418106 0.0365795i 0.123838 0.992302i \(-0.460480\pi\)
0.294268 + 0.955723i \(0.404924\pi\)
\(558\) 9.77379 8.39739i 0.413757 0.355490i
\(559\) 0.604500 0.349008i 0.0255676 0.0147615i
\(560\) −0.759468 0.413487i −0.0320934 0.0174730i
\(561\) 0.633464 0.0313603i 0.0267449 0.00132403i
\(562\) −6.76788 + 25.2581i −0.285486 + 1.06545i
\(563\) −10.8481 + 2.90674i −0.457194 + 0.122505i −0.480063 0.877234i \(-0.659386\pi\)
0.0228698 + 0.999738i \(0.492720\pi\)
\(564\) 0.111112 0.216517i 0.00467864 0.00911703i
\(565\) 22.3813 28.0709i 0.941587 1.18095i
\(566\) 7.19177 + 19.7592i 0.302293 + 0.830542i
\(567\) 2.40299 2.51782i 0.100916 0.105738i
\(568\) 4.24332 + 2.97121i 0.178046 + 0.124669i
\(569\) −31.1436 −1.30561 −0.652803 0.757528i \(-0.726407\pi\)
−0.652803 + 0.757528i \(0.726407\pi\)
\(570\) 6.95792 + 15.3814i 0.291435 + 0.644256i
\(571\) 32.3676 1.35454 0.677271 0.735733i \(-0.263162\pi\)
0.677271 + 0.735733i \(0.263162\pi\)
\(572\) −0.825994 0.578367i −0.0345365 0.0241827i
\(573\) 1.63160 + 11.8583i 0.0681609 + 0.495389i
\(574\) 0.716647 + 1.96897i 0.0299123 + 0.0821832i
\(575\) −6.92001 1.48751i −0.288584 0.0620335i
\(576\) −2.90664 0.742603i −0.121110 0.0309418i
\(577\) −27.7460 + 7.43452i −1.15508 + 0.309503i −0.785000 0.619496i \(-0.787337\pi\)
−0.370082 + 0.928999i \(0.620670\pi\)
\(578\) 4.39793 16.4133i 0.182930 0.682704i
\(579\) −0.567105 11.4553i −0.0235681 0.476064i
\(580\) 2.10217 + 7.12684i 0.0872877 + 0.295926i
\(581\) −2.94508 + 1.70034i −0.122183 + 0.0705422i
\(582\) −16.9064 + 8.92662i −0.700793 + 0.370020i
\(583\) −32.0681 + 2.80559i −1.32812 + 0.116196i
\(584\) 3.82769 + 1.39317i 0.158391 + 0.0576497i
\(585\) 0.738146 + 1.44230i 0.0305186 + 0.0596320i
\(586\) −4.37711 + 3.67283i −0.180817 + 0.151723i
\(587\) −6.55433 4.58939i −0.270526 0.189424i 0.430440 0.902619i \(-0.358359\pi\)
−0.700966 + 0.713195i \(0.747247\pi\)
\(588\) −10.0441 6.31676i −0.414213 0.260499i
\(589\) −4.86839 18.0786i −0.200598 0.744914i
\(590\) 1.55912 + 0.523667i 0.0641882 + 0.0215590i
\(591\) −11.4942 27.2981i −0.472809 1.12289i
\(592\) 10.7718 + 0.942408i 0.442717 + 0.0387327i
\(593\) −35.6055 16.6031i −1.46214 0.681808i −0.481290 0.876561i \(-0.659832\pi\)
−0.980852 + 0.194753i \(0.937609\pi\)
\(594\) −20.5720 + 6.88432i −0.844081 + 0.282467i
\(595\) 0.0177904 0.0737295i 0.000729337 0.00302261i
\(596\) −8.14579 4.70298i −0.333665 0.192641i
\(597\) −4.96250 0.187676i −0.203101 0.00768106i
\(598\) 0.196112 + 0.280076i 0.00801960 + 0.0114532i
\(599\) 5.44794 30.8968i 0.222597 1.26241i −0.644629 0.764496i \(-0.722988\pi\)
0.867226 0.497915i \(-0.165901\pi\)
\(600\) −0.860524 8.61740i −0.0351308 0.351804i
\(601\) 6.26850 10.8574i 0.255698 0.442881i −0.709387 0.704819i \(-0.751028\pi\)
0.965085 + 0.261938i \(0.0843615\pi\)
\(602\) 1.11337 0.0974074i 0.0453776 0.00397003i
\(603\) 2.30924 2.81817i 0.0940397 0.114765i
\(604\) 2.06081 + 5.66204i 0.0838533 + 0.230385i
\(605\) 13.1783 + 5.74808i 0.535774 + 0.233693i
\(606\) −9.91045 + 4.17293i −0.402585 + 0.169514i
\(607\) −12.1810 12.1810i −0.494413 0.494413i 0.415281 0.909693i \(-0.363683\pi\)
−0.909693 + 0.415281i \(0.863683\pi\)
\(608\) −2.79767 + 3.34261i −0.113460 + 0.135561i
\(609\) −0.494416 2.17019i −0.0200347 0.0879405i
\(610\) −2.34633 + 15.5773i −0.0950001 + 0.630706i
\(611\) −0.0218137 0.0259965i −0.000882486 0.00105171i
\(612\) −0.00306929 0.263111i −0.000124069 0.0106356i
\(613\) 3.77675 1.76113i 0.152541 0.0711313i −0.344848 0.938658i \(-0.612070\pi\)
0.497390 + 0.867527i \(0.334292\pi\)
\(614\) 4.98408 + 4.18214i 0.201141 + 0.168778i
\(615\) −12.2548 + 17.0345i −0.494162 + 0.686899i
\(616\) −0.807259 1.39821i −0.0325254 0.0563356i
\(617\) −22.8753 32.6694i −0.920927 1.31522i −0.948889 0.315611i \(-0.897791\pi\)
0.0279620 0.999609i \(-0.491098\pi\)
\(618\) 20.4203 + 18.4938i 0.821424 + 0.743930i
\(619\) −23.1303 + 13.3543i −0.929683 + 0.536753i −0.886711 0.462323i \(-0.847016\pi\)
−0.0429719 + 0.999076i \(0.513683\pi\)
\(620\) −0.597347 + 9.58589i −0.0239900 + 0.384979i
\(621\) 7.35324 + 0.192228i 0.295075 + 0.00771383i
\(622\) −3.24767 6.96466i −0.130220 0.279257i
\(623\) 0.548061 + 0.255565i 0.0219576 + 0.0102390i
\(624\) −0.252728 + 0.333370i −0.0101172 + 0.0133455i
\(625\) 22.5199 10.8560i 0.900798 0.434238i
\(626\) 19.3093i 0.771756i
\(627\) −3.89269 + 31.2785i −0.155459 + 1.24914i
\(628\) 10.5817 10.5817i 0.422256 0.422256i
\(629\) 0.164688 + 0.933989i 0.00656652 + 0.0372406i
\(630\) 0.0951768 + 2.59245i 0.00379194 + 0.103286i
\(631\) −29.7704 + 10.8355i −1.18514 + 0.431356i −0.858015 0.513625i \(-0.828302\pi\)
−0.327125 + 0.944981i \(0.606080\pi\)
\(632\) 14.0233 6.53916i 0.557816 0.260114i
\(633\) 12.1608 + 37.7990i 0.483348 + 1.50237i
\(634\) −23.9107 13.8049i −0.949616 0.548261i
\(635\) 45.4881 9.20028i 1.80514 0.365102i
\(636\) 0.660344 + 13.3387i 0.0261844 + 0.528912i
\(637\) −1.35535 + 0.949024i −0.0537008 + 0.0376017i
\(638\) −3.59062 + 13.4004i −0.142154 + 0.530526i
\(639\) 1.17376 15.4960i 0.0464333 0.613014i
\(640\) 1.90790 1.16615i 0.0754164 0.0460962i
\(641\) 13.7302 37.7234i 0.542310 1.48998i −0.301566 0.953445i \(-0.597509\pi\)
0.843876 0.536539i \(-0.180269\pi\)
\(642\) 0.323570 1.50090i 0.0127703 0.0592360i
\(643\) 0.493763 5.64374i 0.0194721 0.222567i −0.980223 0.197894i \(-0.936590\pi\)
0.999696 0.0246734i \(-0.00785458\pi\)
\(644\) 0.0950632 + 0.539130i 0.00374602 + 0.0212447i
\(645\) 7.08462 + 8.66546i 0.278957 + 0.341202i
\(646\) −0.346699 0.161141i −0.0136407 0.00634000i
\(647\) 7.88238 7.88238i 0.309888 0.309888i −0.534978 0.844866i \(-0.679680\pi\)
0.844866 + 0.534978i \(0.179680\pi\)
\(648\) 2.53153 + 8.63663i 0.0994480 + 0.339279i
\(649\) 1.97387 + 2.35237i 0.0774813 + 0.0923387i
\(650\) −1.15406 0.355730i −0.0452658 0.0139529i
\(651\) 0.358887 2.85458i 0.0140659 0.111880i
\(652\) 1.11399 + 12.7329i 0.0436271 + 0.498660i
\(653\) 29.4972 7.90374i 1.15431 0.309297i 0.369621 0.929183i \(-0.379488\pi\)
0.784692 + 0.619885i \(0.212821\pi\)
\(654\) −22.8880 + 21.2199i −0.894991 + 0.829762i
\(655\) −10.5352 35.7168i −0.411644 1.39557i
\(656\) −5.33590 0.940863i −0.208332 0.0367345i
\(657\) −2.26222 12.0088i −0.0882576 0.468509i
\(658\) −0.0140633 0.0524850i −0.000548245 0.00204608i
\(659\) 31.4260 + 26.3696i 1.22418 + 1.02721i 0.998595 + 0.0529897i \(0.0168751\pi\)
0.225589 + 0.974223i \(0.427569\pi\)
\(660\) 7.02000 14.5659i 0.273253 0.566977i
\(661\) −43.5416 + 15.8479i −1.69357 + 0.616410i −0.995068 0.0991949i \(-0.968373\pi\)
−0.698505 + 0.715605i \(0.746151\pi\)
\(662\) −1.55999 + 17.8308i −0.0606307 + 0.693012i
\(663\) −0.0339806 0.0138436i −0.00131970 0.000537640i
\(664\) 8.79366i 0.341260i
\(665\) 3.45682 + 1.50264i 0.134050 + 0.0582700i
\(666\) −14.0512 29.2376i −0.544474 1.13293i
\(667\) 2.69814 3.85334i 0.104472 0.149202i
\(668\) 20.9078 + 1.82919i 0.808946 + 0.0707736i
\(669\) −9.70353 + 6.26169i −0.375160 + 0.242091i
\(670\) 0.304323 + 2.69856i 0.0117570 + 0.104254i
\(671\) −18.9056 + 22.5309i −0.729844 + 0.869794i
\(672\) −0.592323 + 0.312748i −0.0228494 + 0.0120645i
\(673\) 26.4162 + 7.07819i 1.01827 + 0.272844i 0.729080 0.684428i \(-0.239948\pi\)
0.289188 + 0.957272i \(0.406615\pi\)
\(674\) −1.35326 + 7.67470i −0.0521255 + 0.295618i
\(675\) −20.9196 + 15.4069i −0.805195 + 0.593011i
\(676\) −6.47083 11.2078i −0.248878 0.431070i
\(677\) 5.91360 + 22.0699i 0.227278 + 0.848214i 0.981479 + 0.191570i \(0.0613579\pi\)
−0.754201 + 0.656644i \(0.771975\pi\)
\(678\) −8.51686 26.4726i −0.327088 1.01668i
\(679\) −1.45995 + 4.01118i −0.0560278 + 0.153935i
\(680\) 0.142109 + 0.135167i 0.00544962 + 0.00518340i
\(681\) 4.41490 5.82363i 0.169179 0.223162i
\(682\) −10.2855 + 14.6892i −0.393853 + 0.562480i
\(683\) −11.2707 11.2707i −0.431262 0.431262i 0.457795 0.889058i \(-0.348639\pi\)
−0.889058 + 0.457795i \(0.848639\pi\)
\(684\) 12.9063 + 2.10423i 0.493484 + 0.0804571i
\(685\) −22.8900 7.68812i −0.874582 0.293748i
\(686\) −5.27488 + 0.930103i −0.201396 + 0.0355115i
\(687\) 5.05656 + 36.7507i 0.192920 + 1.40213i
\(688\) −1.22137 + 2.61924i −0.0465643 + 0.0998574i
\(689\) 1.74999 + 0.636945i 0.0666693 + 0.0242657i
\(690\) −3.92601 + 3.82700i −0.149461 + 0.145692i
\(691\) 0.812393 1.40711i 0.0309049 0.0535288i −0.850159 0.526526i \(-0.823494\pi\)
0.881064 + 0.472997i \(0.156828\pi\)
\(692\) 0.0604273 + 0.0161914i 0.00229710 + 0.000615507i
\(693\) −2.37268 + 4.22260i −0.0901307 + 0.160403i
\(694\) 6.06280 + 1.06903i 0.230141 + 0.0405800i
\(695\) 10.9090 + 7.23857i 0.413804 + 0.274574i
\(696\) 5.49918 + 1.69869i 0.208446 + 0.0643886i
\(697\) −0.0414190 0.473421i −0.00156886 0.0179321i
\(698\) 3.43208 + 7.36012i 0.129906 + 0.278585i
\(699\) 9.56572 + 14.8237i 0.361809 + 0.560683i
\(700\) −1.43397 1.29713i −0.0541990 0.0490269i
\(701\) 13.6591 2.40846i 0.515896 0.0909664i 0.0903625 0.995909i \(-0.471197\pi\)
0.425534 + 0.904942i \(0.360086\pi\)
\(702\) 1.24695 + 0.142017i 0.0470632 + 0.00536008i
\(703\) −47.1324 + 0.0589710i −1.77763 + 0.00222413i
\(704\) 4.17489 0.157347
\(705\) 0.355084 0.412363i 0.0133732 0.0155305i
\(706\) −4.01795 + 3.37146i −0.151217 + 0.126887i
\(707\) −1.01466 + 2.17595i −0.0381602 + 0.0818349i
\(708\) 1.00619 0.781440i 0.0378148 0.0293683i
\(709\) 21.9263 26.1308i 0.823460 0.981362i −0.176535 0.984294i \(-0.556489\pi\)
0.999996 + 0.00293245i \(0.000933429\pi\)
\(710\) 7.66526 + 8.68407i 0.287672 + 0.325907i
\(711\) −38.3322 26.1795i −1.43757 0.981807i
\(712\) −1.28092 + 0.896907i −0.0480043 + 0.0336130i
\(713\) 4.98080 3.48759i 0.186532 0.130611i
\(714\) −0.0399426 0.0430825i −0.00149482 0.00161232i
\(715\) −1.49210 1.69042i −0.0558013 0.0632181i
\(716\) −13.4905 + 16.0773i −0.504164 + 0.600839i
\(717\) 17.9728 + 23.1419i 0.671207 + 0.864249i
\(718\) 9.97131 21.3835i 0.372126 0.798027i
\(719\) 23.4038 19.6381i 0.872815 0.732379i −0.0918741 0.995771i \(-0.529286\pi\)
0.964689 + 0.263392i \(0.0848413\pi\)
\(720\) −5.92862 3.13870i −0.220947 0.116973i
\(721\) 6.15120 0.229083
\(722\) 10.8590 15.5911i 0.404129 0.580241i
\(723\) 15.7272 + 9.89084i 0.584900 + 0.367844i
\(724\) −1.14568 + 0.202014i −0.0425787 + 0.00750777i
\(725\) 0.831450 + 16.5941i 0.0308793 + 0.616288i
\(726\) 9.35748 6.03839i 0.347289 0.224106i
\(727\) −15.0458 32.2659i −0.558019 1.19668i −0.959734 0.280911i \(-0.909363\pi\)
0.401715 0.915765i \(-0.368414\pi\)
\(728\) 0.00814067 + 0.0930483i 0.000301713 + 0.00344860i
\(729\) 18.4122 19.7482i 0.681934 0.731414i
\(730\) 7.58949 + 5.03592i 0.280900 + 0.186388i
\(731\) −0.249630 0.0440166i −0.00923292 0.00162801i
\(732\) 9.04435 + 8.19109i 0.334289 + 0.302751i
\(733\) −21.3473 5.71998i −0.788479 0.211272i −0.157960 0.987446i \(-0.550492\pi\)
−0.630520 + 0.776173i \(0.717158\pi\)
\(734\) 2.77627 4.80865i 0.102474 0.177490i
\(735\) −18.5196 18.9987i −0.683107 0.700779i
\(736\) −1.33024 0.484169i −0.0490334 0.0178467i
\(737\) −2.14281 + 4.59528i −0.0789315 + 0.169269i
\(738\) 5.73721 + 15.2085i 0.211190 + 0.559832i
\(739\) 9.88521 1.74303i 0.363633 0.0641184i 0.0111536 0.999938i \(-0.496450\pi\)
0.352480 + 0.935819i \(0.385339\pi\)
\(740\) 22.9202 + 7.69825i 0.842562 + 0.282993i
\(741\) 0.968844 1.54482i 0.0355914 0.0567504i
\(742\) 2.10846 + 2.10846i 0.0774040 + 0.0774040i
\(743\) 14.3922 20.5542i 0.528000 0.754062i −0.463226 0.886240i \(-0.653308\pi\)
0.991226 + 0.132178i \(0.0421971\pi\)
\(744\) 5.92855 + 4.49444i 0.217351 + 0.164774i
\(745\) −15.2397 14.4952i −0.558339 0.531064i
\(746\) 5.55022 15.2491i 0.203208 0.558310i
\(747\) −22.6912 + 13.4561i −0.830227 + 0.492333i
\(748\) 0.0947740 + 0.353701i 0.00346528 + 0.0129326i
\(749\) −0.171405 0.296883i −0.00626301 0.0108479i
\(750\) 2.64928 19.1828i 0.0967380 0.700458i
\(751\) 4.45158 25.2461i 0.162440 0.921245i −0.789224 0.614105i \(-0.789517\pi\)
0.951664 0.307140i \(-0.0993719\pi\)
\(752\) 0.135718 + 0.0363656i 0.00494913 + 0.00132612i
\(753\) 24.0255 + 45.5027i 0.875539 + 1.65821i
\(754\) 0.515895 0.614820i 0.0187878 0.0223904i
\(755\) 1.50984 + 13.3884i 0.0549488 + 0.487253i
\(756\) 1.71339 + 1.04986i 0.0623154 + 0.0381832i
\(757\) 4.00393 + 0.350298i 0.145525 + 0.0127318i 0.159686 0.987168i \(-0.448952\pi\)
−0.0141603 + 0.999900i \(0.504508\pi\)
\(758\) −5.03252 + 7.18718i −0.182789 + 0.261050i
\(759\) −9.98076 + 2.27383i −0.362279 + 0.0825349i
\(760\) −7.83443 + 5.79842i −0.284185 + 0.210331i
\(761\) 0.572699i 0.0207603i −0.999946 0.0103802i \(-0.996696\pi\)
0.999946 0.0103802i \(-0.00330417\pi\)
\(762\) 13.5629 33.2917i 0.491333 1.20603i
\(763\) −0.607357 + 6.94212i −0.0219878 + 0.251321i
\(764\) −6.49414 + 2.36367i −0.234950 + 0.0855147i
\(765\) 0.131329 0.573530i 0.00474821 0.0207360i
\(766\) −22.7208 19.0650i −0.820936 0.688847i
\(767\) −0.0459801 0.171600i −0.00166024 0.00619611i
\(768\) 0.0654573 1.73081i 0.00236199 0.0624554i
\(769\) −35.8121 6.31464i −1.29142 0.227712i −0.514597 0.857432i \(-0.672058\pi\)
−0.776822 + 0.629721i \(0.783169\pi\)
\(770\) −1.02137 3.46268i −0.0368076 0.124786i
\(771\) −23.4956 25.3426i −0.846172 0.912690i
\(772\) 6.39616 1.71385i 0.230203 0.0616827i
\(773\) 1.73190 + 19.7957i 0.0622920 + 0.712001i