Properties

Label 441.2.bd.a.173.51
Level $441$
Weight $2$
Character 441.173
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 173.51
Character \(\chi\) \(=\) 441.173
Dual form 441.2.bd.a.311.51

$q$-expansion

\(f(q)\) \(=\) \(q+(1.37100 - 2.01089i) q^{2} +(-0.537043 + 1.64669i) q^{3} +(-1.43336 - 3.65214i) q^{4} +(-0.751003 + 3.29036i) q^{5} +(2.57503 + 3.33755i) q^{6} +(-1.97891 + 1.75611i) q^{7} +(-4.56367 - 1.04163i) q^{8} +(-2.42317 - 1.76868i) q^{9} +O(q^{10})\) \(q+(1.37100 - 2.01089i) q^{2} +(-0.537043 + 1.64669i) q^{3} +(-1.43336 - 3.65214i) q^{4} +(-0.751003 + 3.29036i) q^{5} +(2.57503 + 3.33755i) q^{6} +(-1.97891 + 1.75611i) q^{7} +(-4.56367 - 1.04163i) q^{8} +(-2.42317 - 1.76868i) q^{9} +(5.58693 + 6.02128i) q^{10} +(1.03923 + 2.15798i) q^{11} +(6.78372 - 0.398943i) q^{12} +(-3.28623 + 4.82001i) q^{13} +(0.818256 + 6.38701i) q^{14} +(-5.01487 - 3.00373i) q^{15} +(-2.59939 + 2.41188i) q^{16} +(1.47076 - 3.74743i) q^{17} +(-6.87882 + 2.44787i) q^{18} +(3.32577 + 1.92013i) q^{19} +(13.0933 - 1.97350i) q^{20} +(-1.82901 - 4.20175i) q^{21} +(5.76426 + 0.868823i) q^{22} +(-0.819296 - 0.653367i) q^{23} +(4.16613 - 6.95555i) q^{24} +(-5.75760 - 2.77271i) q^{25} +(5.18710 + 13.2165i) q^{26} +(4.21382 - 3.04035i) q^{27} +(9.25005 + 4.71012i) q^{28} +(0.827953 + 5.49311i) q^{29} +(-12.9156 + 5.96626i) q^{30} +(-2.55317 - 1.47408i) q^{31} +(-0.109084 - 0.723724i) q^{32} +(-4.11164 + 0.552359i) q^{33} +(-5.51928 - 8.09529i) q^{34} +(-4.29206 - 7.83016i) q^{35} +(-2.98621 + 11.3849i) q^{36} +(11.0077 - 1.65914i) q^{37} +(8.42083 - 4.05526i) q^{38} +(-6.17222 - 7.99995i) q^{39} +(6.85466 - 14.2339i) q^{40} +(-4.92522 + 1.51923i) q^{41} +(-10.9569 - 2.08268i) q^{42} +(3.84316 + 1.18546i) q^{43} +(6.39167 - 6.88858i) q^{44} +(7.63941 - 6.64481i) q^{45} +(-2.43711 + 0.751749i) q^{46} +(-2.46593 - 1.68124i) q^{47} +(-2.57563 - 5.57566i) q^{48} +(0.832164 - 6.95036i) q^{49} +(-13.4693 + 7.77652i) q^{50} +(5.38100 + 4.43442i) q^{51} +(22.3137 + 5.09297i) q^{52} +(-1.05930 + 7.02802i) q^{53} +(-0.336655 - 12.6419i) q^{54} +(-7.88100 + 1.79879i) q^{55} +(10.8603 - 5.95302i) q^{56} +(-4.94795 + 4.44532i) q^{57} +(12.1812 + 5.86615i) q^{58} +(-0.483384 - 0.149104i) q^{59} +(-3.78193 + 22.6205i) q^{60} +(6.95383 + 2.72918i) q^{61} +(-6.46463 + 3.11320i) q^{62} +(7.90124 - 0.755285i) q^{63} +(-7.99452 - 3.84996i) q^{64} +(-13.3916 - 14.4327i) q^{65} +(-4.52634 + 9.02535i) q^{66} +(0.664211 - 1.15045i) q^{67} -15.7943 q^{68} +(1.51589 - 0.998240i) q^{69} +(-21.6301 - 2.10431i) q^{70} +(-8.15167 - 6.50074i) q^{71} +(9.21625 + 10.5957i) q^{72} +(9.25157 - 0.693309i) q^{73} +(11.7552 - 24.4100i) q^{74} +(7.65787 - 7.99191i) q^{75} +(2.24558 - 14.8984i) q^{76} +(-5.84619 - 2.44545i) q^{77} +(-24.5492 + 1.44371i) q^{78} +(3.38118 + 5.85637i) q^{79} +(-5.98379 - 10.3642i) q^{80} +(2.74351 + 8.57165i) q^{81} +(-3.69749 + 11.9870i) q^{82} +(-14.0922 + 9.60792i) q^{83} +(-12.7238 + 12.7024i) q^{84} +(11.2259 + 7.65366i) q^{85} +(7.65282 - 6.10292i) q^{86} +(-9.49009 - 1.58665i) q^{87} +(-2.49489 - 10.9308i) q^{88} +(4.11475 - 2.80539i) q^{89} +(-2.88834 - 24.4721i) q^{90} +(-1.96132 - 15.3093i) q^{91} +(-1.21184 + 3.92870i) q^{92} +(3.79851 - 3.41264i) q^{93} +(-6.76161 + 2.65374i) q^{94} +(-8.81559 + 9.50095i) q^{95} +(1.25033 + 0.209043i) q^{96} +(4.19458 + 2.42174i) q^{97} +(-12.8355 - 11.2024i) q^{98} +(1.29856 - 7.06723i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 18 q^{2} - 11 q^{3} - 60 q^{4} - 15 q^{5} - 22 q^{6} - 5 q^{7} + 13 q^{9} + O(q^{10}) \) \( 648 q - 18 q^{2} - 11 q^{3} - 60 q^{4} - 15 q^{5} - 22 q^{6} - 5 q^{7} + 13 q^{9} - 22 q^{10} - 21 q^{11} + 24 q^{12} - 10 q^{13} - 24 q^{14} - 10 q^{15} + 42 q^{16} + 9 q^{17} + 12 q^{18} - 36 q^{19} - 15 q^{20} - 38 q^{21} - 9 q^{22} - 84 q^{23} - 38 q^{24} - 97 q^{25} - 6 q^{26} - 20 q^{27} - 26 q^{28} - 123 q^{29} - q^{30} - 6 q^{31} - 30 q^{32} - 8 q^{33} - q^{34} + 70 q^{36} - 13 q^{37} - 75 q^{38} - 24 q^{39} - 7 q^{40} - 15 q^{41} - 133 q^{42} - 9 q^{43} - 51 q^{44} - 41 q^{45} - 108 q^{46} - 36 q^{47} + 15 q^{48} + 5 q^{49} - 45 q^{50} + 10 q^{51} - 35 q^{52} + 12 q^{53} - 50 q^{54} + 14 q^{55} + 33 q^{56} - 7 q^{57} + 33 q^{58} - 3 q^{59} + 180 q^{60} + 55 q^{61} - 66 q^{62} - 20 q^{63} + 64 q^{64} + 3 q^{65} + 285 q^{66} + 13 q^{67} + 6 q^{68} + 82 q^{69} + 11 q^{70} + 63 q^{71} - 21 q^{72} - 22 q^{73} - 21 q^{74} - 107 q^{75} + 21 q^{76} - 69 q^{77} + 63 q^{78} + q^{79} + 45 q^{80} - 211 q^{81} - 28 q^{82} + 9 q^{83} + 239 q^{84} - 10 q^{85} - 21 q^{86} - 109 q^{87} - 29 q^{88} - 132 q^{89} - 275 q^{90} - 13 q^{91} + 195 q^{92} + 19 q^{93} - 4 q^{94} - 129 q^{95} - 5 q^{96} - 3 q^{97} - 21 q^{98} - 148 q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{17}{42}\right)\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.37100 2.01089i 0.969447 1.42192i 0.0637620 0.997965i \(-0.479690\pi\)
0.905685 0.423952i \(-0.139357\pi\)
\(3\) −0.537043 + 1.64669i −0.310062 + 0.950716i
\(4\) −1.43336 3.65214i −0.716680 1.82607i
\(5\) −0.751003 + 3.29036i −0.335859 + 1.47149i 0.471728 + 0.881744i \(0.343630\pi\)
−0.807587 + 0.589748i \(0.799227\pi\)
\(6\) 2.57503 + 3.33755i 1.05125 + 1.36255i
\(7\) −1.97891 + 1.75611i −0.747957 + 0.663747i
\(8\) −4.56367 1.04163i −1.61350 0.368271i
\(9\) −2.42317 1.76868i −0.807723 0.589562i
\(10\) 5.58693 + 6.02128i 1.76674 + 1.90410i
\(11\) 1.03923 + 2.15798i 0.313339 + 0.650656i 0.996852 0.0792825i \(-0.0252629\pi\)
−0.683513 + 0.729939i \(0.739549\pi\)
\(12\) 6.78372 0.398943i 1.95829 0.115165i
\(13\) −3.28623 + 4.82001i −0.911436 + 1.33683i 0.0299679 + 0.999551i \(0.490459\pi\)
−0.941404 + 0.337281i \(0.890493\pi\)
\(14\) 0.818256 + 6.38701i 0.218688 + 1.70700i
\(15\) −5.01487 3.00373i −1.29484 0.775560i
\(16\) −2.59939 + 2.41188i −0.649846 + 0.602969i
\(17\) 1.47076 3.74743i 0.356712 0.908886i −0.634053 0.773290i \(-0.718610\pi\)
0.990764 0.135596i \(-0.0432950\pi\)
\(18\) −6.87882 + 2.44787i −1.62135 + 0.576967i
\(19\) 3.32577 + 1.92013i 0.762984 + 0.440509i 0.830366 0.557218i \(-0.188131\pi\)
−0.0673821 + 0.997727i \(0.521465\pi\)
\(20\) 13.0933 1.97350i 2.92775 0.441288i
\(21\) −1.82901 4.20175i −0.399122 0.916898i
\(22\) 5.76426 + 0.868823i 1.22894 + 0.185234i
\(23\) −0.819296 0.653367i −0.170835 0.136236i 0.534340 0.845270i \(-0.320560\pi\)
−0.705175 + 0.709033i \(0.749132\pi\)
\(24\) 4.16613 6.95555i 0.850407 1.41980i
\(25\) −5.75760 2.77271i −1.15152 0.554543i
\(26\) 5.18710 + 13.2165i 1.01727 + 2.59197i
\(27\) 4.21382 3.04035i 0.810950 0.585116i
\(28\) 9.25005 + 4.71012i 1.74810 + 0.890130i
\(29\) 0.827953 + 5.49311i 0.153747 + 1.02005i 0.924024 + 0.382335i \(0.124880\pi\)
−0.770277 + 0.637710i \(0.779882\pi\)
\(30\) −12.9156 + 5.96626i −2.35806 + 1.08928i
\(31\) −2.55317 1.47408i −0.458564 0.264752i 0.252876 0.967499i \(-0.418623\pi\)
−0.711440 + 0.702747i \(0.751957\pi\)
\(32\) −0.109084 0.723724i −0.0192835 0.127938i
\(33\) −4.11164 + 0.552359i −0.715744 + 0.0961534i
\(34\) −5.51928 8.09529i −0.946548 1.38833i
\(35\) −4.29206 7.83016i −0.725490 1.32354i
\(36\) −2.98621 + 11.3849i −0.497702 + 1.89749i
\(37\) 11.0077 1.65914i 1.80965 0.272761i 0.844709 0.535225i \(-0.179773\pi\)
0.964942 + 0.262464i \(0.0845352\pi\)
\(38\) 8.42083 4.05526i 1.36604 0.657850i
\(39\) −6.17222 7.99995i −0.988346 1.28102i
\(40\) 6.85466 14.2339i 1.08382 2.25057i
\(41\) −4.92522 + 1.51923i −0.769189 + 0.237264i −0.654423 0.756129i \(-0.727088\pi\)
−0.114767 + 0.993392i \(0.536612\pi\)
\(42\) −10.9569 2.08268i −1.69068 0.321365i
\(43\) 3.84316 + 1.18546i 0.586076 + 0.180781i 0.573592 0.819141i \(-0.305550\pi\)
0.0124848 + 0.999922i \(0.496026\pi\)
\(44\) 6.39167 6.88858i 0.963581 1.03849i
\(45\) 7.63941 6.64481i 1.13882 0.990550i
\(46\) −2.43711 + 0.751749i −0.359332 + 0.110839i
\(47\) −2.46593 1.68124i −0.359693 0.245235i 0.369967 0.929045i \(-0.379369\pi\)
−0.729660 + 0.683810i \(0.760322\pi\)
\(48\) −2.57563 5.57566i −0.371760 0.804777i
\(49\) 0.832164 6.95036i 0.118881 0.992909i
\(50\) −13.4693 + 7.77652i −1.90485 + 1.09977i
\(51\) 5.38100 + 4.43442i 0.753490 + 0.620942i
\(52\) 22.3137 + 5.09297i 3.09436 + 0.706267i
\(53\) −1.05930 + 7.02802i −0.145506 + 0.965372i 0.790265 + 0.612765i \(0.209943\pi\)
−0.935771 + 0.352607i \(0.885295\pi\)
\(54\) −0.336655 12.6419i −0.0458130 1.72034i
\(55\) −7.88100 + 1.79879i −1.06267 + 0.242548i
\(56\) 10.8603 5.95302i 1.45127 0.795506i
\(57\) −4.94795 + 4.44532i −0.655371 + 0.588796i
\(58\) 12.1812 + 5.86615i 1.59947 + 0.770264i
\(59\) −0.483384 0.149104i −0.0629312 0.0194117i 0.263130 0.964760i \(-0.415245\pi\)
−0.326061 + 0.945349i \(0.605721\pi\)
\(60\) −3.78193 + 22.6205i −0.488245 + 2.92029i
\(61\) 6.95383 + 2.72918i 0.890347 + 0.349435i 0.766028 0.642807i \(-0.222230\pi\)
0.124319 + 0.992242i \(0.460325\pi\)
\(62\) −6.46463 + 3.11320i −0.821008 + 0.395377i
\(63\) 7.90124 0.755285i 0.995462 0.0951569i
\(64\) −7.99452 3.84996i −0.999315 0.481245i
\(65\) −13.3916 14.4327i −1.66102 1.79016i
\(66\) −4.52634 + 9.02535i −0.557153 + 1.11094i
\(67\) 0.664211 1.15045i 0.0811463 0.140550i −0.822596 0.568626i \(-0.807475\pi\)
0.903743 + 0.428076i \(0.140809\pi\)
\(68\) −15.7943 −1.91534
\(69\) 1.51589 0.998240i 0.182492 0.120174i
\(70\) −21.6301 2.10431i −2.58529 0.251513i
\(71\) −8.15167 6.50074i −0.967426 0.771496i 0.00612169 0.999981i \(-0.498051\pi\)
−0.973547 + 0.228485i \(0.926623\pi\)
\(72\) 9.21625 + 10.5957i 1.08615 + 1.24872i
\(73\) 9.25157 0.693309i 1.08281 0.0811457i 0.478650 0.878006i \(-0.341126\pi\)
0.604164 + 0.796860i \(0.293507\pi\)
\(74\) 11.7552 24.4100i 1.36652 2.83760i
\(75\) 7.65787 7.99191i 0.884255 0.922826i
\(76\) 2.24558 14.8984i 0.257585 1.70897i
\(77\) −5.84619 2.44545i −0.666235 0.278685i
\(78\) −24.5492 + 1.44371i −2.77965 + 0.163468i
\(79\) 3.38118 + 5.85637i 0.380412 + 0.658894i 0.991121 0.132962i \(-0.0424487\pi\)
−0.610709 + 0.791855i \(0.709115\pi\)
\(80\) −5.98379 10.3642i −0.669008 1.15876i
\(81\) 2.74351 + 8.57165i 0.304834 + 0.952405i
\(82\) −3.69749 + 11.9870i −0.408319 + 1.32374i
\(83\) −14.0922 + 9.60792i −1.54682 + 1.05461i −0.575218 + 0.818000i \(0.695083\pi\)
−0.971606 + 0.236606i \(0.923965\pi\)
\(84\) −12.7238 + 12.7024i −1.38828 + 1.38595i
\(85\) 11.2259 + 7.65366i 1.21761 + 0.830156i
\(86\) 7.65282 6.10292i 0.825225 0.658095i
\(87\) −9.49009 1.58665i −1.01744 0.170107i
\(88\) −2.49489 10.9308i −0.265956 1.16523i
\(89\) 4.11475 2.80539i 0.436162 0.297370i −0.325262 0.945624i \(-0.605453\pi\)
0.761425 + 0.648253i \(0.224500\pi\)
\(90\) −2.88834 24.4721i −0.304458 2.57959i
\(91\) −1.96132 15.3093i −0.205602 1.60486i
\(92\) −1.21184 + 3.92870i −0.126343 + 0.409595i
\(93\) 3.79851 3.41264i 0.393887 0.353875i
\(94\) −6.76161 + 2.65374i −0.697406 + 0.273712i
\(95\) −8.81559 + 9.50095i −0.904460 + 0.974776i
\(96\) 1.25033 + 0.209043i 0.127611 + 0.0213354i
\(97\) 4.19458 + 2.42174i 0.425895 + 0.245891i 0.697596 0.716491i \(-0.254253\pi\)
−0.271701 + 0.962382i \(0.587586\pi\)
\(98\) −12.8355 11.2024i −1.29659 1.13161i
\(99\) 1.29856 7.06723i 0.130510 0.710283i
\(100\) −1.87363 + 25.0019i −0.187363 + 2.50019i
\(101\) −2.52142 + 11.0470i −0.250890 + 1.09922i 0.679795 + 0.733402i \(0.262069\pi\)
−0.930686 + 0.365820i \(0.880789\pi\)
\(102\) 16.2945 4.74102i 1.61340 0.469430i
\(103\) 9.70952 + 2.21614i 0.956708 + 0.218362i 0.672248 0.740326i \(-0.265329\pi\)
0.284460 + 0.958688i \(0.408186\pi\)
\(104\) 20.0179 18.5739i 1.96292 1.82132i
\(105\) 15.1989 2.86256i 1.48326 0.279357i
\(106\) 12.6803 + 11.7656i 1.23162 + 1.14278i
\(107\) 9.73519 + 14.2789i 0.941136 + 1.38039i 0.924770 + 0.380527i \(0.124257\pi\)
0.0163661 + 0.999866i \(0.494790\pi\)
\(108\) −17.1437 11.0316i −1.64965 1.06151i
\(109\) −4.90010 3.34083i −0.469345 0.319994i 0.305448 0.952209i \(-0.401194\pi\)
−0.774793 + 0.632215i \(0.782146\pi\)
\(110\) −7.18771 + 18.3140i −0.685322 + 1.74617i
\(111\) −3.17950 + 19.0173i −0.301785 + 1.80504i
\(112\) 0.908429 9.33769i 0.0858385 0.882329i
\(113\) 10.5349 0.789479i 0.991036 0.0742679i 0.430667 0.902511i \(-0.358278\pi\)
0.560369 + 0.828243i \(0.310659\pi\)
\(114\) 2.15541 + 16.0443i 0.201872 + 1.50269i
\(115\) 2.76510 2.20510i 0.257847 0.205626i
\(116\) 18.8749 10.8974i 1.75249 1.01180i
\(117\) 16.4882 5.86741i 1.52433 0.542442i
\(118\) −0.962554 + 0.767611i −0.0886103 + 0.0706643i
\(119\) 3.67040 + 9.99865i 0.336465 + 0.916574i
\(120\) 19.7575 + 18.9317i 1.80360 + 1.72822i
\(121\) 3.28150 4.11487i 0.298318 0.374079i
\(122\) 15.0218 10.2417i 1.36001 0.927241i
\(123\) 0.143355 8.92619i 0.0129259 0.804847i
\(124\) −1.72392 + 11.4374i −0.154812 + 1.02711i
\(125\) 2.92588 3.66894i 0.261699 0.328160i
\(126\) 9.31384 16.9241i 0.829742 1.50771i
\(127\) 3.67686 + 4.61063i 0.326268 + 0.409128i 0.917730 0.397206i \(-0.130020\pi\)
−0.591461 + 0.806334i \(0.701449\pi\)
\(128\) −17.4347 + 10.0659i −1.54102 + 0.889710i
\(129\) −4.01602 + 5.69185i −0.353591 + 0.501139i
\(130\) −47.3826 + 7.14178i −4.15573 + 0.626375i
\(131\) −4.33056 18.9734i −0.378363 1.65771i −0.702484 0.711699i \(-0.747926\pi\)
0.324122 0.946015i \(-0.394931\pi\)
\(132\) 7.91075 + 14.2246i 0.688543 + 1.23809i
\(133\) −9.95336 + 2.04064i −0.863066 + 0.176946i
\(134\) −1.40279 2.91293i −0.121183 0.251639i
\(135\) 6.83925 + 16.1483i 0.588629 + 1.38982i
\(136\) −10.6155 + 15.5701i −0.910272 + 1.33512i
\(137\) 18.4196 4.20416i 1.57370 0.359186i 0.655464 0.755227i \(-0.272473\pi\)
0.918233 + 0.396041i \(0.129616\pi\)
\(138\) 0.0709353 4.41689i 0.00603842 0.375990i
\(139\) −4.73199 15.3407i −0.401362 1.30118i −0.900574 0.434703i \(-0.856853\pi\)
0.499212 0.866480i \(-0.333623\pi\)
\(140\) −22.4448 + 26.8987i −1.89693 + 2.27335i
\(141\) 4.09280 3.15772i 0.344676 0.265928i
\(142\) −24.2483 + 7.47961i −2.03487 + 0.627675i
\(143\) −13.8167 2.08253i −1.15541 0.174150i
\(144\) 10.5646 1.24690i 0.880384 0.103908i
\(145\) −18.6961 1.40108i −1.55263 0.116353i
\(146\) 11.2898 19.5545i 0.934348 1.61834i
\(147\) 10.9982 + 5.10295i 0.907114 + 0.420885i
\(148\) −21.8374 37.8235i −1.79502 3.10907i
\(149\) 0.608157 + 1.26285i 0.0498221 + 0.103457i 0.924394 0.381440i \(-0.124572\pi\)
−0.874572 + 0.484896i \(0.838857\pi\)
\(150\) −5.57191 26.3561i −0.454944 2.15197i
\(151\) −7.41644 + 9.29993i −0.603542 + 0.756817i −0.985925 0.167186i \(-0.946532\pi\)
0.382384 + 0.924004i \(0.375103\pi\)
\(152\) −13.1777 12.2271i −1.06885 0.991748i
\(153\) −10.1919 + 6.47936i −0.823969 + 0.523825i
\(154\) −12.9327 + 8.40335i −1.04215 + 0.677161i
\(155\) 6.76768 7.29382i 0.543593 0.585854i
\(156\) −20.3700 + 34.0087i −1.63090 + 2.72287i
\(157\) −6.03225 + 19.5561i −0.481426 + 1.56075i 0.310773 + 0.950484i \(0.399412\pi\)
−0.792200 + 0.610262i \(0.791064\pi\)
\(158\) 16.4122 + 1.22992i 1.30568 + 0.0978473i
\(159\) −11.0041 5.51869i −0.872679 0.437660i
\(160\) 2.46323 + 0.184594i 0.194736 + 0.0145934i
\(161\) 2.76870 0.145819i 0.218204 0.0114922i
\(162\) 20.9980 + 6.23486i 1.64976 + 0.489857i
\(163\) −1.23034 0.379509i −0.0963675 0.0297255i 0.246196 0.969220i \(-0.420819\pi\)
−0.342564 + 0.939494i \(0.611295\pi\)
\(164\) 12.6080 + 15.8100i 0.984523 + 1.23455i
\(165\) 1.27039 13.9436i 0.0988997 1.08551i
\(166\) 41.5105i 3.22184i
\(167\) 5.16938 13.1714i 0.400019 1.01923i −0.578976 0.815345i \(-0.696547\pi\)
0.978995 0.203886i \(-0.0653573\pi\)
\(168\) 3.97032 + 21.0806i 0.306317 + 1.62640i
\(169\) −7.68380 19.5780i −0.591061 1.50600i
\(170\) 30.7814 12.0808i 2.36082 0.926555i
\(171\) −4.66280 10.5351i −0.356573 0.805636i
\(172\) −1.17917 15.7350i −0.0899110 1.19978i
\(173\) 0.959105 + 0.144562i 0.0729194 + 0.0109908i 0.185401 0.982663i \(-0.440642\pi\)
−0.112481 + 0.993654i \(0.535880\pi\)
\(174\) −16.2016 + 16.9083i −1.22824 + 1.28181i
\(175\) 16.2630 4.62402i 1.22936 0.349543i
\(176\) −7.90615 3.10293i −0.595948 0.233892i
\(177\) 0.505126 0.715907i 0.0379676 0.0538109i
\(178\) 12.1205i 0.908471i
\(179\) −3.18168 1.24872i −0.237810 0.0933336i 0.243443 0.969915i \(-0.421723\pi\)
−0.481253 + 0.876582i \(0.659818\pi\)
\(180\) −35.2178 18.3758i −2.62498 1.36965i
\(181\) 8.19476 17.0166i 0.609112 1.26483i −0.337156 0.941449i \(-0.609465\pi\)
0.946268 0.323385i \(-0.104821\pi\)
\(182\) −33.4745 17.0452i −2.48129 1.26347i
\(183\) −8.22861 + 9.98512i −0.608277 + 0.738121i
\(184\) 3.05844 + 3.83516i 0.225471 + 0.282732i
\(185\) −2.80763 + 37.4652i −0.206421 + 2.75450i
\(186\) −1.65469 12.3171i −0.121328 0.903137i
\(187\) 9.61535 0.720571i 0.703144 0.0526934i
\(188\) −2.60557 + 11.4158i −0.190031 + 0.832580i
\(189\) −2.99958 + 13.4165i −0.218188 + 0.975907i
\(190\) 7.01919 + 30.7531i 0.509225 + 2.23106i
\(191\) −5.25184 17.0260i −0.380010 1.23196i −0.920544 0.390639i \(-0.872254\pi\)
0.540534 0.841322i \(-0.318222\pi\)
\(192\) 10.6331 11.0969i 0.767376 0.800849i
\(193\) 4.92872 + 4.57319i 0.354777 + 0.329185i 0.837346 0.546673i \(-0.184106\pi\)
−0.482569 + 0.875858i \(0.660296\pi\)
\(194\) 10.6207 5.11464i 0.762519 0.367210i
\(195\) 30.9581 14.3008i 2.21695 1.02410i
\(196\) −26.5765 + 6.92319i −1.89832 + 0.494514i
\(197\) 8.28891i 0.590561i 0.955411 + 0.295280i \(0.0954130\pi\)
−0.955411 + 0.295280i \(0.904587\pi\)
\(198\) −12.4311 12.3005i −0.883441 0.874156i
\(199\) 2.43911 + 7.90739i 0.172904 + 0.560540i 0.999999 0.00152198i \(-0.000484460\pi\)
−0.827095 + 0.562062i \(0.810008\pi\)
\(200\) 23.3877 + 18.6510i 1.65376 + 1.31883i
\(201\) 1.53772 + 1.71159i 0.108462 + 0.120726i
\(202\) 18.7576 + 20.2159i 1.31978 + 1.42238i
\(203\) −11.2849 9.41639i −0.792048 0.660901i
\(204\) 8.48221 26.0083i 0.593874 1.82095i
\(205\) −1.29995 17.3467i −0.0907926 1.21154i
\(206\) 17.7682 16.4865i 1.23797 1.14867i
\(207\) 0.829694 + 3.03230i 0.0576677 + 0.210759i
\(208\) −3.08310 20.4551i −0.213775 1.41830i
\(209\) −0.687377 + 9.17241i −0.0475469 + 0.634469i
\(210\) 15.0814 34.4879i 1.04072 2.37989i
\(211\) −0.732543 9.77511i −0.0504304 0.672946i −0.963938 0.266126i \(-0.914256\pi\)
0.913508 0.406821i \(-0.133363\pi\)
\(212\) 27.1857 6.20496i 1.86712 0.426158i
\(213\) 15.0825 9.93210i 1.03344 0.680536i
\(214\) 42.0603 2.87519
\(215\) −6.78680 + 11.7551i −0.462856 + 0.801690i
\(216\) −22.3974 + 9.48593i −1.52395 + 0.645436i
\(217\) 7.64114 1.56659i 0.518714 0.106347i
\(218\) −13.4361 + 5.27329i −0.910009 + 0.357152i
\(219\) −3.82682 + 15.6068i −0.258593 + 1.05461i
\(220\) 17.8657 + 26.2042i 1.20451 + 1.76669i
\(221\) 13.2294 + 19.4040i 0.889908 + 1.30526i
\(222\) 33.8826 + 32.4664i 2.27405 + 2.17900i
\(223\) −5.05403 + 1.98356i −0.338443 + 0.132829i −0.528475 0.848949i \(-0.677236\pi\)
0.190032 + 0.981778i \(0.439141\pi\)
\(224\) 1.48681 + 1.24062i 0.0993413 + 0.0828925i
\(225\) 9.04759 + 16.9021i 0.603173 + 1.12681i
\(226\) 12.8558 22.2669i 0.855154 1.48117i
\(227\) −15.8298 −1.05066 −0.525332 0.850898i \(-0.676059\pi\)
−0.525332 + 0.850898i \(0.676059\pi\)
\(228\) 23.3271 + 11.6989i 1.54488 + 0.774776i
\(229\) 16.2385 3.70632i 1.07307 0.244921i 0.350741 0.936473i \(-0.385930\pi\)
0.722327 + 0.691552i \(0.243073\pi\)
\(230\) −0.643247 8.58353i −0.0424144 0.565981i
\(231\) 7.16655 8.31355i 0.471525 0.546991i
\(232\) 1.94327 25.9312i 0.127582 1.70247i
\(233\) −1.55186 10.2959i −0.101666 0.674507i −0.980374 0.197148i \(-0.936832\pi\)
0.878708 0.477359i \(-0.158406\pi\)
\(234\) 10.8066 41.2002i 0.706451 2.69334i
\(235\) 7.38381 6.85118i 0.481667 0.446921i
\(236\) 0.148314 + 1.97911i 0.00965439 + 0.128829i
\(237\) −11.4595 + 2.42263i −0.744372 + 0.157367i
\(238\) 25.1384 + 6.32740i 1.62948 + 0.410144i
\(239\) −7.83949 8.44896i −0.507095 0.546518i 0.426669 0.904408i \(-0.359687\pi\)
−0.933764 + 0.357890i \(0.883496\pi\)
\(240\) 20.2802 4.28741i 1.30908 0.276751i
\(241\) 7.58009 + 6.04492i 0.488277 + 0.389388i 0.836451 0.548042i \(-0.184627\pi\)
−0.348174 + 0.937430i \(0.613198\pi\)
\(242\) −3.77562 12.2403i −0.242706 0.786833i
\(243\) −15.5882 0.0856336i −0.999985 0.00549340i
\(244\) 29.3083i 1.87627i
\(245\) 22.2442 + 7.95785i 1.42113 + 0.508409i
\(246\) −17.7531 12.5261i −1.13190 0.798636i
\(247\) −20.1843 + 9.72026i −1.28430 + 0.618485i
\(248\) 10.1164 + 9.38666i 0.642393 + 0.596054i
\(249\) −8.25313 28.3654i −0.523021 1.79758i
\(250\) −3.36645 10.9138i −0.212913 0.690247i
\(251\) −0.0790384 0.346290i −0.00498886 0.0218576i 0.972372 0.233436i \(-0.0749969\pi\)
−0.977361 + 0.211578i \(0.932140\pi\)
\(252\) −14.0837 27.7739i −0.887192 1.74959i
\(253\) 0.558518 2.44703i 0.0351137 0.153843i
\(254\) 14.3125 1.07257i 0.898045 0.0672992i
\(255\) −18.6320 + 14.3751i −1.16678 + 0.900207i
\(256\) −2.33534 + 31.1629i −0.145958 + 1.94768i
\(257\) −9.08392 11.3909i −0.566639 0.710543i 0.413130 0.910672i \(-0.364435\pi\)
−0.979770 + 0.200129i \(0.935864\pi\)
\(258\) 5.93972 + 15.8793i 0.369791 + 0.988605i
\(259\) −18.8696 + 22.6140i −1.17250 + 1.40516i
\(260\) −33.5153 + 69.5953i −2.07853 + 4.31612i
\(261\) 7.70931 14.7751i 0.477194 0.914558i
\(262\) −44.0907 17.3043i −2.72393 1.06907i
\(263\) 23.4977i 1.44893i −0.689312 0.724465i \(-0.742087\pi\)
0.689312 0.724465i \(-0.257913\pi\)
\(264\) 19.3395 + 1.76201i 1.19027 + 0.108444i
\(265\) −22.3291 8.76354i −1.37167 0.538340i
\(266\) −9.54259 + 22.8129i −0.585094 + 1.39875i
\(267\) 2.40981 + 8.28232i 0.147478 + 0.506870i
\(268\) −5.15365 0.776788i −0.314809 0.0474499i
\(269\) −0.661142 8.82233i −0.0403106 0.537907i −0.980405 0.196993i \(-0.936882\pi\)
0.940094 0.340914i \(-0.110737\pi\)
\(270\) 41.8491 + 8.38637i 2.54686 + 0.510378i
\(271\) 8.20495 3.22021i 0.498415 0.195614i −0.102798 0.994702i \(-0.532779\pi\)
0.601213 + 0.799089i \(0.294684\pi\)
\(272\) 5.21528 + 13.2883i 0.316223 + 0.805722i
\(273\) 26.2631 + 4.99209i 1.58951 + 0.302135i
\(274\) 16.7993 42.8039i 1.01488 2.58588i
\(275\) 15.3063i 0.923004i
\(276\) −5.81853 4.10541i −0.350235 0.247116i
\(277\) 5.42186 + 6.79879i 0.325768 + 0.408500i 0.917564 0.397588i \(-0.130153\pi\)
−0.591796 + 0.806087i \(0.701581\pi\)
\(278\) −37.3362 11.5167i −2.23927 0.690725i
\(279\) 3.57960 + 8.08770i 0.214305 + 0.484198i
\(280\) 11.4314 + 40.2050i 0.683159 + 2.40271i
\(281\) 9.56369 + 0.716699i 0.570522 + 0.0427547i 0.356868 0.934155i \(-0.383845\pi\)
0.213654 + 0.976909i \(0.431464\pi\)
\(282\) −0.738606 12.5594i −0.0439833 0.747903i
\(283\) 19.1800 + 1.43734i 1.14013 + 0.0854413i 0.631382 0.775472i \(-0.282488\pi\)
0.508752 + 0.860913i \(0.330107\pi\)
\(284\) −12.0574 + 39.0890i −0.715473 + 2.31951i
\(285\) −10.9108 19.6189i −0.646297 1.16213i
\(286\) −23.1304 + 24.9287i −1.36773 + 1.47406i
\(287\) 7.07863 11.6556i 0.417838 0.688010i
\(288\) −1.01571 + 1.94664i −0.0598513 + 0.114707i
\(289\) 0.581754 + 0.539789i 0.0342208 + 0.0317523i
\(290\) −28.4498 + 35.6750i −1.67063 + 2.09491i
\(291\) −6.24052 + 5.60659i −0.365826 + 0.328664i
\(292\) −15.7929 32.7943i −0.924210 1.91914i
\(293\) 11.6475 + 20.1740i 0.680453 + 1.17858i 0.974843 + 0.222894i \(0.0715503\pi\)
−0.294390 + 0.955685i \(0.595116\pi\)
\(294\) 25.3401 15.1200i 1.47786 0.881816i
\(295\) 0.853628 1.47853i 0.0497002 0.0860832i
\(296\) −51.9637 3.89414i −3.02033 0.226342i
\(297\) 10.9401 + 5.93373i 0.634812 + 0.344310i
\(298\) 3.37324 + 0.508435i 0.195407 + 0.0294528i
\(299\) 5.84163 1.80191i 0.337830 0.104207i
\(300\) −40.1641 16.5124i −2.31888 0.953342i
\(301\) −9.68706 + 4.40309i −0.558353 + 0.253790i
\(302\) 8.53319 + 27.6639i 0.491030 + 1.59188i
\(303\) −16.8369 10.0847i −0.967257 0.579352i
\(304\) −13.2761 + 3.03018i −0.761436 + 0.173793i
\(305\) −14.2023 + 20.8310i −0.813222 + 1.19278i
\(306\) −0.943871 + 29.3781i −0.0539575 + 1.67944i
\(307\) 0.264541 + 0.549326i 0.0150982 + 0.0313517i 0.908382 0.418142i \(-0.137319\pi\)
−0.893283 + 0.449494i \(0.851604\pi\)
\(308\) −0.551435 + 24.8563i −0.0314209 + 1.41632i
\(309\) −8.86372 + 14.7984i −0.504239 + 0.841852i
\(310\) −5.38859 23.6089i −0.306051 1.34090i
\(311\) −22.8927 + 3.45052i −1.29813 + 0.195661i −0.761503 0.648161i \(-0.775538\pi\)
−0.536623 + 0.843822i \(0.680300\pi\)
\(312\) 19.8350 + 42.9383i 1.12294 + 2.43090i
\(313\) 23.3699 13.4926i 1.32094 0.762648i 0.337065 0.941481i \(-0.390566\pi\)
0.983879 + 0.178833i \(0.0572323\pi\)
\(314\) 31.0550 + 38.9417i 1.75253 + 2.19761i
\(315\) −3.44869 + 26.5651i −0.194312 + 1.49677i
\(316\) 16.5419 20.7429i 0.930553 1.16688i
\(317\) 0.864731 5.73711i 0.0485681 0.322228i −0.951333 0.308165i \(-0.900285\pi\)
0.999901 0.0140636i \(-0.00447673\pi\)
\(318\) −26.1841 + 14.5619i −1.46833 + 0.816589i
\(319\) −10.9936 + 7.49531i −0.615524 + 0.419657i
\(320\) 18.6716 23.4135i 1.04378 1.30885i
\(321\) −28.7411 + 8.36245i −1.60417 + 0.466746i
\(322\) 3.50267 5.76748i 0.195196 0.321409i
\(323\) 12.0870 9.63905i 0.672538 0.536331i
\(324\) 27.3725 22.3060i 1.52069 1.23922i
\(325\) 32.2853 18.6399i 1.79087 1.03396i
\(326\) −2.44995 + 1.95377i −0.135690 + 0.108209i
\(327\) 8.13288 6.27478i 0.449749 0.346996i
\(328\) 24.0596 1.80301i 1.32847 0.0995548i
\(329\) 7.83230 1.00342i 0.431809 0.0553201i
\(330\) −26.2973 21.6713i −1.44762 1.19297i
\(331\) −10.1170 + 25.7776i −0.556078 + 1.41686i 0.325824 + 0.945430i \(0.394358\pi\)
−0.881902 + 0.471433i \(0.843737\pi\)
\(332\) 55.2888 + 37.6952i 3.03437 + 2.06880i
\(333\) −29.6080 15.4487i −1.62251 0.846585i
\(334\) −19.3990 28.4531i −1.06147 1.55688i
\(335\) 3.28656 + 3.04948i 0.179564 + 0.166611i
\(336\) 14.8884 + 6.51064i 0.812229 + 0.355184i
\(337\) −22.0413 + 20.4514i −1.20067 + 1.11406i −0.210008 + 0.977700i \(0.567349\pi\)
−0.990660 + 0.136357i \(0.956461\pi\)
\(338\) −49.9038 11.3902i −2.71441 0.619546i
\(339\) −4.35764 + 17.7716i −0.236675 + 0.965222i
\(340\) 11.8616 51.9689i 0.643283 2.81841i
\(341\) 0.527696 7.04161i 0.0285763 0.381324i
\(342\) −27.5776 5.06721i −1.49123 0.274004i
\(343\) 10.5588 + 15.2155i 0.570122 + 0.821560i
\(344\) −16.3041 9.41319i −0.879059 0.507525i
\(345\) 2.14613 + 5.73750i 0.115544 + 0.308897i
\(346\) 1.60564 1.73046i 0.0863196 0.0930304i
\(347\) −1.75812 + 0.690010i −0.0943807 + 0.0370417i −0.412062 0.911156i \(-0.635191\pi\)
0.317681 + 0.948198i \(0.397096\pi\)
\(348\) 7.80804 + 36.9334i 0.418555 + 1.97984i
\(349\) −0.0580127 + 0.188073i −0.00310535 + 0.0100673i −0.957112 0.289717i \(-0.906439\pi\)
0.954007 + 0.299785i \(0.0969149\pi\)
\(350\) 12.9982 39.0426i 0.694781 2.08692i
\(351\) 0.806946 + 30.3020i 0.0430716 + 1.61740i
\(352\) 1.44842 0.987516i 0.0772011 0.0526348i
\(353\) 7.31121 + 32.0325i 0.389136 + 1.70492i 0.667642 + 0.744482i \(0.267304\pi\)
−0.278506 + 0.960435i \(0.589839\pi\)
\(354\) −0.747084 1.99727i −0.0397071 0.106154i
\(355\) 27.5117 21.9398i 1.46017 1.16445i
\(356\) −16.1436 11.0065i −0.855609 0.583344i
\(357\) −18.4358 + 0.674313i −0.975727 + 0.0356884i
\(358\) −6.87314 + 4.68603i −0.363257 + 0.247664i
\(359\) −5.75568 + 18.6594i −0.303773 + 0.984808i 0.667051 + 0.745012i \(0.267557\pi\)
−0.970823 + 0.239795i \(0.922920\pi\)
\(360\) −41.7852 + 22.3673i −2.20227 + 1.17886i
\(361\) −2.12617 3.68263i −0.111904 0.193823i
\(362\) −22.9835 39.8086i −1.20799 2.09230i
\(363\) 5.01361 + 7.61347i 0.263146 + 0.399603i
\(364\) −53.1007 + 29.1068i −2.78323 + 1.52561i
\(365\) −4.66672 + 30.9616i −0.244267 + 1.62061i
\(366\) 8.79755 + 30.2365i 0.459855 + 1.58049i
\(367\) 3.81385 7.91953i 0.199081 0.413396i −0.777398 0.629009i \(-0.783461\pi\)
0.976479 + 0.215613i \(0.0691750\pi\)
\(368\) 3.70551 0.277689i 0.193163 0.0144756i
\(369\) 14.6217 + 5.02981i 0.761174 + 0.261841i
\(370\) 71.4893 + 57.0108i 3.71655 + 2.96385i
\(371\) −10.2457 15.7681i −0.531930 0.818637i
\(372\) −17.9081 8.98115i −0.928492 0.465651i
\(373\) −5.61945 −0.290964 −0.145482 0.989361i \(-0.546473\pi\)
−0.145482 + 0.989361i \(0.546473\pi\)
\(374\) 11.7337 20.3234i 0.606735 1.05090i
\(375\) 4.47028 + 6.78839i 0.230844 + 0.350551i
\(376\) 9.50248 + 10.2412i 0.490053 + 0.528151i
\(377\) −29.1977 14.0609i −1.50376 0.724172i
\(378\) 22.8667 + 24.4259i 1.17614 + 1.25633i
\(379\) −25.6515 + 12.3531i −1.31763 + 0.634538i −0.954781 0.297310i \(-0.903911\pi\)
−0.362850 + 0.931848i \(0.618196\pi\)
\(380\) 47.3347 + 18.5775i 2.42822 + 0.953007i
\(381\) −9.56691 + 3.57853i −0.490128 + 0.183334i
\(382\) −41.4379 12.7819i −2.12015 0.653978i
\(383\) 9.38503 + 4.51959i 0.479552 + 0.230940i 0.658013 0.753007i \(-0.271397\pi\)
−0.178460 + 0.983947i \(0.557112\pi\)
\(384\) −7.21227 34.1153i −0.368050 1.74094i
\(385\) 12.4369 17.3995i 0.633844 0.886762i
\(386\) 15.9535 3.64128i 0.812012 0.185336i
\(387\) −7.21593 9.66990i −0.366806 0.491549i
\(388\) 2.83220 18.7904i 0.143783 0.953940i
\(389\) −7.48084 1.70745i −0.379294 0.0865713i 0.0286235 0.999590i \(-0.490888\pi\)
−0.407917 + 0.913019i \(0.633745\pi\)
\(390\) 13.6862 81.8599i 0.693027 4.14514i
\(391\) −3.65344 + 2.10931i −0.184762 + 0.106673i
\(392\) −11.0374 + 30.8524i −0.557474 + 1.55828i
\(393\) 33.5690 + 3.05845i 1.69333 + 0.154278i
\(394\) 16.6681 + 11.3641i 0.839728 + 0.572517i
\(395\) −21.8088 + 6.72714i −1.09732 + 0.338479i
\(396\) −27.6718 + 5.38736i −1.39056 + 0.270725i
\(397\) −13.9909 + 15.0786i −0.702184 + 0.756775i −0.978936 0.204167i \(-0.934552\pi\)
0.276752 + 0.960941i \(0.410742\pi\)
\(398\) 19.2450 + 5.93628i 0.964662 + 0.297559i
\(399\) 1.98508 17.4860i 0.0993781 0.875395i
\(400\) 21.6537 6.67927i 1.08268 0.333964i
\(401\) 1.17710 2.44427i 0.0587815 0.122061i −0.869509 0.493918i \(-0.835564\pi\)
0.928290 + 0.371857i \(0.121279\pi\)
\(402\) 5.55004 0.745596i 0.276811 0.0371869i
\(403\) 15.4954 7.46218i 0.771880 0.371718i
\(404\) 43.9595 6.62583i 2.18707 0.329647i
\(405\) −30.2642 + 2.58980i −1.50384 + 0.128688i
\(406\) −34.4071 + 9.78292i −1.70759 + 0.485518i
\(407\) 15.0199 + 22.0301i 0.744509 + 1.09199i
\(408\) −19.9381 25.8422i −0.987083 1.27938i
\(409\) −1.94587 12.9100i −0.0962170 0.638358i −0.984010 0.178115i \(-0.943000\pi\)
0.887793 0.460243i \(-0.152238\pi\)
\(410\) −36.6645 21.1683i −1.81073 1.04543i
\(411\) −2.96918 + 32.5893i −0.146459 + 1.60751i
\(412\) −5.82361 38.6371i −0.286908 1.90351i
\(413\) 1.21842 0.553811i 0.0599543 0.0272512i
\(414\) 7.23514 + 2.48886i 0.355588 + 0.122321i
\(415\) −21.0302 53.5841i −1.03233 2.63034i
\(416\) 3.84683 + 1.85254i 0.188607 + 0.0908281i
\(417\) 27.8027 + 0.446512i 1.36150 + 0.0218658i
\(418\) 17.5024 + 13.9577i 0.856068 + 0.682692i
\(419\) −28.4234 4.28414i −1.38857 0.209294i −0.588161 0.808744i \(-0.700148\pi\)
−0.800412 + 0.599450i \(0.795386\pi\)
\(420\) −32.2399 51.4053i −1.57315 2.50832i
\(421\) −4.19511 + 0.632311i −0.204457 + 0.0308170i −0.250472 0.968124i \(-0.580586\pi\)
0.0460150 + 0.998941i \(0.485348\pi\)
\(422\) −20.6610 11.9287i −1.00576 0.580678i
\(423\) 3.00178 + 8.43539i 0.145952 + 0.410143i
\(424\) 12.1549 30.9702i 0.590294 1.50404i
\(425\) −18.8586 + 17.4982i −0.914777 + 0.848789i
\(426\) 0.705778 43.9463i 0.0341951 2.12920i
\(427\) −18.5537 + 6.81089i −0.897878 + 0.329602i
\(428\) 38.1945 56.0211i 1.84620 2.70788i
\(429\) 10.8494 21.6333i 0.523814 1.04447i
\(430\) 14.3335 + 29.7638i 0.691223 + 1.43534i
\(431\) −22.5985 24.3553i −1.08853 1.17316i −0.983914 0.178643i \(-0.942829\pi\)
−0.104615 0.994513i \(-0.533361\pi\)
\(432\) −3.62039 + 18.0663i −0.174186 + 0.869213i
\(433\) −36.5641 8.34553i −1.75716 0.401060i −0.782127 0.623119i \(-0.785865\pi\)
−0.975033 + 0.222059i \(0.928722\pi\)
\(434\) 7.32579 17.5133i 0.351649 0.840666i
\(435\) 12.3477 30.0342i 0.592029 1.44003i
\(436\) −5.17759 + 22.6845i −0.247962 + 1.08639i
\(437\) −1.47024 3.74611i −0.0703311 0.179201i
\(438\) 26.1370 + 29.0923i 1.24888 + 1.39008i
\(439\) 9.24956 13.5666i 0.441457 0.647499i −0.539440 0.842024i \(-0.681364\pi\)
0.980898 + 0.194525i \(0.0623165\pi\)
\(440\) 37.8400 1.80395
\(441\) −14.3095 + 15.3701i −0.681403 + 0.731908i
\(442\) 57.1570 2.71868
\(443\) −1.43258 + 2.10122i −0.0680641 + 0.0998317i −0.858762 0.512375i \(-0.828766\pi\)
0.790698 + 0.612207i \(0.209718\pi\)
\(444\) 74.0111 15.6466i 3.51241 0.742554i
\(445\) 6.14054 + 15.6458i 0.291089 + 0.741684i
\(446\) −2.94037 + 12.8826i −0.139230 + 0.610008i
\(447\) −2.40613 + 0.323240i −0.113806 + 0.0152887i
\(448\) 22.5814 6.42053i 1.06687 0.303341i
\(449\) 0.968849 + 0.221134i 0.0457228 + 0.0104359i 0.245321 0.969442i \(-0.421107\pi\)
−0.199598 + 0.979878i \(0.563964\pi\)
\(450\) 46.3927 + 4.97916i 2.18697 + 0.234720i
\(451\) −8.39690 9.04970i −0.395394 0.426134i
\(452\) −17.9835 37.3432i −0.845875 1.75648i
\(453\) −11.3311 17.2070i −0.532384 0.808457i
\(454\) −21.7028 + 31.8321i −1.01856 + 1.49396i
\(455\) 51.8462 + 5.04392i 2.43059 + 0.236463i
\(456\) 27.2112 15.1331i 1.27428 0.708670i
\(457\) 0.192427 0.178546i 0.00900137 0.00835205i −0.675659 0.737214i \(-0.736141\pi\)
0.684661 + 0.728862i \(0.259950\pi\)
\(458\) 14.8100 37.7352i 0.692025 1.76325i
\(459\) −5.19599 20.2626i −0.242528 0.945779i
\(460\) −12.0167 6.93786i −0.560283 0.323479i
\(461\) 10.5443 1.58929i 0.491095 0.0740207i 0.101174 0.994869i \(-0.467740\pi\)
0.389921 + 0.920848i \(0.372502\pi\)
\(462\) −6.89230 25.8091i −0.320659 1.20075i
\(463\) 24.2415 + 3.65382i 1.12660 + 0.169808i 0.685794 0.727795i \(-0.259455\pi\)
0.440805 + 0.897603i \(0.354693\pi\)
\(464\) −15.4009 12.2818i −0.714968 0.570168i
\(465\) 8.37612 + 15.0614i 0.388433 + 0.698454i
\(466\) −22.8316 10.9951i −1.05765 0.509339i
\(467\) −6.83896 17.4254i −0.316469 0.806351i −0.997267 0.0738794i \(-0.976462\pi\)
0.680798 0.732471i \(-0.261633\pi\)
\(468\) −45.0621 51.8071i −2.08300 2.39478i
\(469\) 0.705897 + 3.44306i 0.0325953 + 0.158986i
\(470\) −3.65375 24.2411i −0.168535 1.11816i
\(471\) −28.9632 20.4357i −1.33455 0.941627i
\(472\) 2.05069 + 1.18397i 0.0943909 + 0.0544966i
\(473\) 1.43573 + 9.52543i 0.0660148 + 0.437980i
\(474\) −10.8393 + 26.3652i −0.497867 + 1.21099i
\(475\) −13.8245 20.2768i −0.634310 0.930362i
\(476\) 31.2555 27.7365i 1.43259 1.27130i
\(477\) 14.9972 15.1565i 0.686675 0.693969i
\(478\) −27.7380 + 4.18082i −1.26870 + 0.191226i
\(479\) 29.0852 14.0067i 1.32894 0.639981i 0.371447 0.928454i \(-0.378862\pi\)
0.957488 + 0.288473i \(0.0931475\pi\)
\(480\) −1.62683 + 3.95704i −0.0742543 + 0.180614i
\(481\) −28.1767 + 58.5095i −1.28475 + 2.66780i
\(482\) 22.5480 6.95515i 1.02703 0.316798i
\(483\) −1.24679 + 4.63749i −0.0567309 + 0.211013i
\(484\) −19.7317 6.08641i −0.896894 0.276655i
\(485\) −11.1185 + 11.9829i −0.504867 + 0.544117i
\(486\) −21.5437 + 31.2289i −0.977243 + 1.41657i
\(487\) −11.0800 + 3.41774i −0.502084 + 0.154872i −0.535444 0.844571i \(-0.679856\pi\)
0.0333595 + 0.999443i \(0.489379\pi\)
\(488\) −28.8922 19.6984i −1.30789 0.891704i
\(489\) 1.28568 1.82217i 0.0581404 0.0824015i
\(490\) 46.4993 33.8205i 2.10062 1.52785i
\(491\) −0.559753 + 0.323174i −0.0252613 + 0.0145846i −0.512577 0.858641i \(-0.671309\pi\)
0.487316 + 0.873226i \(0.337976\pi\)
\(492\) −32.8052 + 12.2709i −1.47897 + 0.553215i
\(493\) 21.8028 + 4.97634i 0.981948 + 0.224123i
\(494\) −8.12639 + 53.9151i −0.365623 + 2.42575i
\(495\) 22.2785 + 9.58023i 1.00134 + 0.430599i
\(496\) 10.1920 2.32625i 0.457633 0.104452i
\(497\) 27.5474 1.45085i 1.23567 0.0650793i
\(498\) −68.3549 22.2929i −3.06306 0.998969i
\(499\) 15.9693 + 7.69039i 0.714882 + 0.344269i 0.755718 0.654897i \(-0.227288\pi\)
−0.0408362 + 0.999166i \(0.513002\pi\)
\(500\) −17.5933 5.42682i −0.786797 0.242695i
\(501\) 18.9130 + 15.5859i 0.844969 + 0.696329i
\(502\) −0.804715 0.315827i −0.0359162 0.0140961i
\(503\) 10.0157 4.82330i 0.446578 0.215061i −0.197059 0.980392i \(-0.563139\pi\)
0.643637 + 0.765331i \(0.277425\pi\)
\(504\) −36.8454 4.78328i −1.64122 0.213064i
\(505\) −34.4551 16.5927i −1.53323 0.738366i
\(506\) −4.15498 4.47800i −0.184711 0.199071i
\(507\) 36.3654 2.13861i 1.61504 0.0949789i
\(508\) 11.5684 20.0371i 0.513266 0.889003i
\(509\) −12.5476 −0.556164 −0.278082 0.960557i \(-0.589699\pi\)
−0.278082 + 0.960557i \(0.589699\pi\)
\(510\) 3.36241 + 57.1753i 0.148890 + 2.53176i
\(511\) −17.0905 + 17.6188i −0.756039 + 0.779408i
\(512\) 27.9841 + 22.3166i 1.23673 + 0.986262i
\(513\) 19.8521 2.02040i 0.876491 0.0892030i
\(514\) −35.3599 + 2.64986i −1.55966 + 0.116880i
\(515\) −14.5838 + 30.2835i −0.642637 + 1.33445i
\(516\) 26.5439 + 6.50861i 1.16853 + 0.286526i
\(517\) 1.06543 7.06863i 0.0468573 0.310878i
\(518\) 19.6040 + 68.9486i 0.861352 + 3.02943i
\(519\) −0.753129 + 1.50171i −0.0330587 + 0.0659179i
\(520\) 46.0814 + 79.8153i 2.02080 + 3.50013i
\(521\) 12.4877 + 21.6294i 0.547097 + 0.947599i 0.998472 + 0.0552650i \(0.0176004\pi\)
−0.451375 + 0.892334i \(0.649066\pi\)
\(522\) −19.1417 35.7594i −0.837811 1.56515i
\(523\) 3.88554 12.5966i 0.169903 0.550811i −0.830074 0.557654i \(-0.811702\pi\)
0.999977 + 0.00684222i \(0.00217796\pi\)
\(524\) −63.0864 + 43.0116i −2.75594 + 1.87897i
\(525\) −1.11957 + 29.2633i −0.0488622 + 1.27716i
\(526\) −47.2514 32.2154i −2.06026 1.40466i
\(527\) −9.27911 + 7.39984i −0.404204 + 0.322342i
\(528\) 9.35550 11.3526i 0.407146 0.494057i
\(529\) −4.87362 21.3527i −0.211897 0.928380i
\(530\) −48.2359 + 32.8867i −2.09523 + 1.42851i
\(531\) 0.907603 + 1.21626i 0.0393866 + 0.0527811i
\(532\) 21.7195 + 33.4261i 0.941659 + 1.44921i
\(533\) 8.86269 28.7321i 0.383886 1.24453i
\(534\) 19.9587 + 6.50924i 0.863699 + 0.281682i
\(535\) −54.2938 + 21.3088i −2.34733 + 0.921258i
\(536\) −4.22958 + 4.55841i −0.182690 + 0.196893i
\(537\) 3.76495 4.56863i 0.162470 0.197151i
\(538\) −18.6472 10.7660i −0.803938 0.464154i
\(539\) 15.8636 5.42722i 0.683292 0.233767i
\(540\) 49.1727 48.1242i 2.11606 2.07094i
\(541\) 0.784599 10.4697i 0.0337325 0.450129i −0.954607 0.297867i \(-0.903725\pi\)
0.988340 0.152263i \(-0.0486560\pi\)
\(542\) 4.77353 20.9142i 0.205041 0.898342i
\(543\) 23.6201 + 22.6329i 1.01364 + 0.971269i
\(544\) −2.87254 0.655639i −0.123159 0.0281103i
\(545\) 14.6725 13.6141i 0.628502 0.583165i
\(546\) 46.0453 45.9680i 1.97056 1.96725i
\(547\) 11.6678 + 10.8261i 0.498878 + 0.462891i 0.889023 0.457862i \(-0.151385\pi\)
−0.390145 + 0.920753i \(0.627575\pi\)
\(548\) −41.7562 61.2451i −1.78374 2.61626i
\(549\) −12.0233 18.9124i −0.513140 0.807162i
\(550\) −30.7793 20.9850i −1.31243 0.894803i
\(551\) −7.79393 + 19.8586i −0.332033 + 0.846005i
\(552\) −7.95782 + 2.97665i −0.338707 + 0.126695i
\(553\) −16.9755 5.65151i −0.721871 0.240327i
\(554\) 21.1050 1.58160i 0.896667 0.0671959i
\(555\) −60.1857 24.7437i −2.55474 1.05031i
\(556\) −49.2439 + 39.2707i −2.08841 + 1.66545i
\(557\) −25.1387 + 14.5138i −1.06516 + 0.614970i −0.926855 0.375420i \(-0.877498\pi\)
−0.138304 + 0.990390i \(0.544165\pi\)
\(558\) 21.1712 + 3.89007i 0.896247 + 0.164680i
\(559\) −18.3434 + 14.6284i −0.775844 + 0.618715i
\(560\) 30.0421 + 10.0017i 1.26951 + 0.422648i
\(561\) −3.97730 + 16.2205i −0.167922 + 0.684829i
\(562\) 14.5531 18.2490i 0.613884 0.769786i
\(563\) −10.5939 + 7.22278i −0.446478 + 0.304404i −0.765608 0.643307i \(-0.777562\pi\)
0.319130 + 0.947711i \(0.396609\pi\)
\(564\) −17.3989 10.4213i −0.732626 0.438817i
\(565\) −5.31404 + 35.2563i −0.223563 + 1.48325i
\(566\) 29.1863 36.5984i 1.22679 1.53835i
\(567\) −20.4819 12.1446i −0.860159 0.510026i
\(568\) 30.4302 + 38.1583i 1.27682 + 1.60109i
\(569\) 1.15578 0.667291i 0.0484529 0.0279743i −0.475578 0.879674i \(-0.657761\pi\)
0.524031 + 0.851699i \(0.324428\pi\)
\(570\) −54.4103 4.95729i −2.27900 0.207638i
\(571\) 33.2244 5.00778i 1.39040 0.209569i 0.589210 0.807980i \(-0.299439\pi\)
0.801189 + 0.598411i \(0.204201\pi\)
\(572\) 12.1986 + 53.4454i 0.510048 + 2.23466i
\(573\) 30.8571 + 0.495565i 1.28907 + 0.0207025i
\(574\) −13.7334 30.2143i −0.573221 1.26112i
\(575\) 2.90558 + 6.03350i 0.121171 + 0.251614i
\(576\) 12.5627 + 23.4689i 0.523447 + 0.977870i
\(577\) 14.9766 21.9666i 0.623483 0.914482i −0.376445 0.926439i \(-0.622854\pi\)
0.999929 + 0.0119569i \(0.00380608\pi\)
\(578\) 1.88305 0.429793i 0.0783244 0.0178770i
\(579\) −10.1776 + 5.66008i −0.422965 + 0.235225i
\(580\) 21.6813 + 70.2891i 0.900267 + 2.91859i
\(581\) 11.0147 43.7607i 0.456967 1.81550i
\(582\) 2.71847 + 20.2357i 0.112684 + 0.838797i
\(583\) −16.2672 + 5.01777i −0.673718 + 0.207815i
\(584\) −42.9433 6.47266i −1.77701 0.267841i
\(585\) 6.92321 + 58.6584i 0.286240 + 2.42523i
\(586\) 56.5366 + 4.23683i 2.33550 + 0.175022i
\(587\) −9.56148 + 16.5610i −0.394645 + 0.683545i −0.993056 0.117645i \(-0.962466\pi\)
0.598411 + 0.801189i \(0.295799\pi\)
\(588\) 2.87237 47.4813i 0.118455 1.95810i
\(589\) −5.66085 9.80488i −0.233251 0.404003i
\(590\) −1.80283 3.74362i −0.0742215 0.154123i
\(591\) −13.6493 4.45150i −0.561456 0.183110i
\(592\) −24.6116 + 30.8619i −1.01153 + 1.26842i
\(593\) −6.76974 6.28140i −0.278000 0.257946i 0.528833 0.848726i \(-0.322630\pi\)
−0.806833 + 0.590780i \(0.798820\pi\)
\(594\) 26.9311 13.8643i 1.10500 0.568860i
\(595\) −35.6556 + 4.56793i −1.46174 + 0.187267i
\(596\) 3.74040 4.03120i 0.153213 0.165124i
\(597\) −14.3309 0.230155i −0.586525 0.00941961i
\(598\) 4.38547 14.2173i 0.179335 0.581390i
\(599\) −8.73291 0.654441i −0.356817 0.0267397i −0.104884 0.994484i \(-0.533447\pi\)
−0.251933 + 0.967745i \(0.581066\pi\)
\(600\) −43.2726 + 28.4958i −1.76660 + 1.16334i
\(601\) 32.0472 + 2.40160i 1.30723 + 0.0979635i 0.710055 0.704146i \(-0.248670\pi\)
0.597177 + 0.802110i \(0.296289\pi\)
\(602\) −4.42684 + 25.5163i −0.180425 + 1.03997i
\(603\) −3.64427 + 1.61295i −0.148406 + 0.0656844i
\(604\) 44.5951 + 13.7558i 1.81455 + 0.559714i
\(605\) 11.0750 + 13.8876i 0.450262 + 0.564610i
\(606\) −43.3628 + 20.0311i −1.76149 + 0.813708i
\(607\) 15.1719i 0.615808i −0.951417 0.307904i \(-0.900372\pi\)
0.951417 0.307904i \(-0.0996276\pi\)
\(608\) 1.02686 2.61640i 0.0416447 0.106109i
\(609\) 21.5664 13.5258i 0.873913 0.548093i
\(610\) 22.4174 + 57.1187i 0.907656 + 2.31267i
\(611\) 16.2072 6.36087i 0.655675 0.257333i
\(612\) 38.2723 + 27.9351i 1.54706 + 1.12921i
\(613\) −1.33515 17.8164i −0.0539263 0.719596i −0.956996 0.290102i \(-0.906311\pi\)
0.903069 0.429495i \(-0.141308\pi\)
\(614\) 1.46732 + 0.221163i 0.0592164 + 0.00892543i
\(615\) 29.2627 + 7.17528i 1.17999 + 0.289335i
\(616\) 24.1329 + 17.2498i 0.972341 + 0.695014i
\(617\) 22.6288 + 8.88114i 0.911000 + 0.357541i 0.774114 0.633046i \(-0.218196\pi\)
0.136885 + 0.990587i \(0.456291\pi\)
\(618\) 17.6058 + 38.1127i 0.708211 + 1.53312i
\(619\) 10.4853i 0.421439i 0.977547 + 0.210720i \(0.0675807\pi\)
−0.977547 + 0.210720i \(0.932419\pi\)
\(620\) −36.3386 14.2619i −1.45939 0.572770i
\(621\) −5.43883 0.262224i −0.218253 0.0105227i
\(622\) −24.4474 + 50.7655i −0.980250 + 2.03551i
\(623\) −3.21615 + 12.7775i −0.128852 + 0.511922i
\(624\) 35.3389 + 5.90832i 1.41469 + 0.236522i
\(625\) −10.0471 12.5987i −0.401886 0.503949i
\(626\) 4.90801 65.4928i 0.196164 2.61762i
\(627\) −14.7350 6.05787i −0.588458 0.241928i
\(628\) 80.0681 6.00027i 3.19506 0.239437i
\(629\) 9.97213 43.6907i 0.397615 1.74206i
\(630\) 48.6915 + 43.3558i 1.93991 + 1.72734i
\(631\) −4.52819 19.8393i −0.180265 0.789790i −0.981503 0.191446i \(-0.938682\pi\)
0.801239 0.598345i \(-0.204175\pi\)
\(632\) −9.33043 30.2485i −0.371145 1.20322i
\(633\) 16.4900 + 4.04338i 0.655418 + 0.160710i
\(634\) −10.3512 9.60449i −0.411098 0.381443i
\(635\) −17.9320 + 8.63558i −0.711608 + 0.342692i
\(636\) −4.38224 + 48.0987i −0.173767 + 1.90724i
\(637\) 30.7662 + 26.8515i 1.21900 + 1.06390i
\(638\) 32.3831i 1.28206i
\(639\) 8.25513 + 30.1701i 0.326568 + 1.19351i
\(640\) −20.0270 64.9259i −0.791636 2.56642i
\(641\) 15.0049 + 11.9660i 0.592659 + 0.472629i 0.873300 0.487183i \(-0.161976\pi\)
−0.280641 + 0.959813i \(0.590547\pi\)
\(642\) −22.5882 + 69.2603i −0.891485 + 2.73349i
\(643\) 7.60538 + 8.19665i 0.299927 + 0.323244i 0.864976 0.501813i \(-0.167333\pi\)
−0.565049 + 0.825057i \(0.691143\pi\)
\(644\) −4.50110 9.90267i −0.177368 0.390220i
\(645\) −15.7122 17.4887i −0.618666 0.688618i
\(646\) −2.81180 37.5208i −0.110629 1.47624i
\(647\) 5.40583 5.01588i 0.212525 0.197195i −0.566726 0.823906i \(-0.691790\pi\)
0.779251 + 0.626712i \(0.215600\pi\)
\(648\) −3.59201 41.9759i −0.141107 1.64897i
\(649\) −0.180583 1.19809i −0.00708848 0.0470290i
\(650\) 6.78037 90.4778i 0.265948 3.54883i
\(651\) −1.52393 + 13.4239i −0.0597276 + 0.526124i
\(652\) 0.377497 + 5.03735i 0.0147839 + 0.197278i
\(653\) 28.7332 6.55817i 1.12442 0.256641i 0.380414 0.924816i \(-0.375781\pi\)
0.744004 + 0.668175i \(0.232924\pi\)
\(654\) −1.46770 24.9571i −0.0573915 0.975900i
\(655\) 65.6816 2.56639
\(656\) 9.13834 15.8281i 0.356792 0.617982i
\(657\) −23.6444 14.6831i −0.922455 0.572842i
\(658\) 8.72036 17.1256i 0.339955 0.667626i
\(659\) −9.19345 + 3.60816i −0.358126 + 0.140554i −0.537581 0.843212i \(-0.680662\pi\)
0.179455 + 0.983766i \(0.442567\pi\)
\(660\) −52.7449 + 15.3465i −2.05309 + 0.597363i
\(661\) −14.1867 20.8080i −0.551797 0.809337i 0.444458 0.895800i \(-0.353396\pi\)
−0.996255 + 0.0864623i \(0.972444\pi\)
\(662\) 37.9656 + 55.6853i 1.47557 + 2.16427i
\(663\) −39.0571 + 11.3640i −1.51685 + 0.441340i
\(664\) 74.3202 29.1685i 2.88418 1.13196i
\(665\) 0.760557 34.2826i 0.0294931 1.32942i
\(666\) −71.6584 + 38.3582i −2.77671 + 1.48635i
\(667\) 2.91068 5.04144i 0.112702 0.195205i
\(668\) −55.5133 −2.14787
\(669\) −0.552078 9.38767i −0.0213446 0.362948i
\(670\) 10.6381 2.42807i 0.410984 0.0938045i
\(671\) 1.33711 + 17.8425i 0.0516185 + 0.688802i
\(672\) −2.84139 + 1.78204i −0.109609 + 0.0687437i
\(673\) 2.37368 31.6745i 0.0914985 1.22096i −0.742748 0.669571i \(-0.766478\pi\)
0.834247 0.551391i \(-0.185903\pi\)
\(674\) 10.9068 + 72.3617i 0.420113 + 2.78727i
\(675\) −32.6915 + 5.82140i −1.25830 + 0.224066i
\(676\) −60.4880 + 56.1247i −2.32646 + 2.15864i
\(677\) −2.19722 29.3199i −0.0844461 1.12685i −0.865002 0.501768i \(-0.832683\pi\)
0.780556 0.625086i \(-0.214936\pi\)
\(678\) 29.7625 + 33.1277i 1.14302 + 1.27226i
\(679\) −12.5535 + 2.57373i −0.481760 + 0.0987708i
\(680\) −43.2589 46.6220i −1.65890 1.78787i
\(681\) 8.50130 26.0668i 0.325770 0.998883i
\(682\) −13.4365 10.7152i −0.514509 0.410307i
\(683\) 4.30178 + 13.9460i 0.164603 + 0.533631i 0.999869 0.0162166i \(-0.00516215\pi\)
−0.835265 + 0.549847i \(0.814686\pi\)
\(684\) −31.7921 + 32.1297i −1.21560 + 1.22851i
\(685\) 63.7646i 2.43632i
\(686\) 45.0729 0.372134i 1.72089 0.0142081i
\(687\) −2.61759 + 28.7302i −0.0998671 + 1.09612i
\(688\) −12.8490 + 6.18777i −0.489865 + 0.235906i
\(689\) −30.3940 28.2015i −1.15792 1.07439i
\(690\) 14.4799 + 3.55049i 0.551239 + 0.135165i
\(691\) −11.4005 36.9594i −0.433694 1.40600i −0.864079 0.503356i \(-0.832099\pi\)
0.430385 0.902645i \(-0.358378\pi\)
\(692\) −0.846783 3.71000i −0.0321899 0.141033i
\(693\) 9.84109 + 16.2658i 0.373832 + 0.617887i
\(694\) −1.02285 + 4.48139i −0.0388268 + 0.170111i
\(695\) 54.0302 4.04900i 2.04948 0.153587i
\(696\) 41.6570 + 17.1261i 1.57900 + 0.649164i
\(697\) −1.55060 + 20.6913i −0.0587332 + 0.783740i
\(698\) 0.298659 + 0.374506i 0.0113044 + 0.0141753i
\(699\) 17.7876 + 2.97391i 0.672788 + 0.112484i
\(700\) −40.1983 52.7668i −1.51935 1.99440i
\(701\) 9.90780 20.5737i 0.374212 0.777060i −0.625783 0.779997i \(-0.715221\pi\)
0.999996 + 0.00293710i \(0.000934911\pi\)
\(702\) 62.0404 + 39.9214i 2.34156 + 1.50674i
\(703\) 39.7948 + 15.6183i 1.50089 + 0.589055i
\(704\) 21.2530i 0.801003i
\(705\) 7.31634 + 15.8382i 0.275549 + 0.596502i
\(706\) 74.4376 + 29.2146i 2.80150 + 1.09951i
\(707\) −14.4102 26.2890i −0.541950 0.988699i
\(708\) −3.33862 0.818638i −0.125473 0.0307663i
\(709\) −7.58327 1.14299i −0.284796 0.0429260i 0.00509098 0.999987i \(-0.498379\pi\)
−0.289887 + 0.957061i \(0.593618\pi\)
\(710\) −6.40005 85.4027i −0.240190 3.20511i
\(711\) 2.16491 20.1712i 0.0811903 0.756480i
\(712\) −21.7005 + 8.51683i −0.813262 + 0.319182i
\(713\) 1.12869 + 2.87587i 0.0422699 + 0.107702i
\(714\) −23.9196 + 37.9970i −0.895170 + 1.42200i
\(715\) 17.2286 43.8977i 0.644313 1.64168i
\(716\) 13.4098i 0.501149i
\(717\) 18.1230 8.37175i 0.676814 0.312649i
\(718\) 29.6311 + 37.1562i 1.10582 + 1.38666i
\(719\) −3.03747 0.936937i −0.113279 0.0349419i 0.237598 0.971364i \(-0.423640\pi\)
−0.350876 + 0.936422i \(0.614116\pi\)
\(720\) −3.83131 + 35.6977i −0.142784 + 1.33038i
\(721\) −23.1060 + 12.6655i −0.860514 + 0.471686i
\(722\) −10.3204 0.773405i −0.384084 0.0287831i
\(723\) −14.0249 + 9.23567i −0.521593 + 0.343478i
\(724\) −73.8931 5.53752i −2.74622 0.205800i
\(725\) 10.4638 33.9228i 0.388616 1.25986i
\(726\) 22.1836 + 0.356269i 0.823309 + 0.0132224i
\(727\) −16.2217 + 17.4829i −0.601630 + 0.648403i −0.958279 0.285835i \(-0.907729\pi\)
0.356648 + 0.934239i \(0.383919\pi\)
\(728\) −6.99584 + 71.9098i −0.259283 + 2.66516i
\(729\) 8.51255 25.6230i 0.315280 0.948999i
\(730\) 55.8625 + 51.8328i 2.06756 + 1.91842i
\(731\) 10.0948 12.6585i 0.373369 0.468190i
\(732\) 48.2617 + 15.7398i 1.78380 + 0.581760i
\(733\) 7.97279 + 16.5557i 0.294482 + 0.611497i 0.994745 0.102388i \(-0.0326482\pi\)
−0.700263 + 0.713885i \(0.746934\pi\)
\(734\) −10.6965 18.5270i −0.394817 0.683842i
\(735\) −25.0502 + 32.3556i −0.923991 + 1.19345i
\(736\) −0.383485 + 0.664216i −0.0141355 + 0.0244833i
\(737\) 3.17291 + 0.237777i 0.116876 + 0.00875863i
\(738\) 30.1608 22.5068i 1.11023 0.828485i
\(739\) −19.5965 2.95370i −0.720869 0.108654i −0.221646 0.975127i \(-0.571143\pi\)
−0.499223 + 0.866474i \(0.666381\pi\)
\(740\) 140.853 43.4473i 5.17785 1.59715i
\(741\) −5.16640 38.4575i −0.189792 1.41277i
\(742\) −45.7548 1.01507i −1.67971 0.0372642i
\(743\) 7.35878 + 23.8566i 0.269967 + 0.875213i 0.984466 + 0.175576i \(0.0561788\pi\)
−0.714498 + 0.699637i \(0.753345\pi\)
\(744\) −20.8899 + 11.6176i −0.765860 + 0.425920i
\(745\) −4.61195 + 1.05265i −0.168969 + 0.0385661i
\(746\) −7.70429 + 11.3001i −0.282074 + 0.413727i
\(747\) 51.1413 + 1.64308i 1.87116 + 0.0601173i
\(748\) −16.4139 34.0838i −0.600152 1.24623i
\(749\) −44.3403 11.1606i −1.62016 0.407799i
\(750\) 19.7795 + 0.317659i 0.722245 + 0.0115993i
\(751\) −3.98899 17.4769i −0.145560 0.637741i −0.994087 0.108588i \(-0.965367\pi\)
0.848527 0.529153i \(-0.177490\pi\)
\(752\) 10.4649 1.57732i 0.381614 0.0575191i
\(753\) 0.612679 + 0.0558208i 0.0223273 + 0.00203422i
\(754\) −68.3052 + 39.4360i −2.48753 + 1.43617i
\(755\) −25.0303 31.3870i −0.910946 1.14229i
\(756\) 53.2985 8.27578i 1.93845 0.300987i
\(757\) 17.7807 22.2962i 0.646249 0.810371i −0.345520 0.938412i \(-0.612297\pi\)
0.991769 + 0.128041i \(0.0408688\pi\)
\(758\) −10.3275 + 68.5187i −0.375113 + 2.48871i
\(759\) 3.72954 + 2.23386i 0.135374 + 0.0810840i
\(760\) 50.1279 34.1766i 1.81833 1.23972i
\(761\) 7.61663 9.55095i 0.276102 0.346222i −0.624375 0.781125i \(-0.714646\pi\)
0.900477 + 0.434904i \(0.143218\pi\)
\(762\) −5.92022 + 24.1442i −0.214467 + 0.874653i
\(763\) 15.5637 1.99391i 0.563445 0.0721843i
\(764\) −54.6538 + 43.5849i −1.97730 + 1.57685i
\(765\) −13.6652 38.4011i −0.494068 1.38839i
\(766\) 21.9553 12.6759i 0.793279 0.458000i
\(767\) 2.30719 1.83993i 0.0833079 0.0664359i
\(768\) −50.0614 20.5814i −1.80644 0.742666i
\(769\) 13.4484 1.00782i 0.484963 0.0363430i 0.169994 0.985445i \(-0.445625\pi\)
0.314969 + 0.949102i \(0.398006\pi\)
\(770\) −17.9375 48.8641i −0.646424 1.76094i
\(771\) 23.6357 8.84101i 0.851218 0.318401i
\(772\) 9.63730 24.5554i 0.346854 0.883769i
\(773\)